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View of /sml/trunk/benchmarks/programs/nucleic/nucleic.sml

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Revision 193 - (download) (annotate)
Fri Nov 20 17:43:59 1998 UTC (22 years, 10 months ago) by monnier
File size: 142848 byte(s)
Initial revision
(* File: "nucleic.sml" *)

structure Nucleic : sig

    val anticodon_length : unit -> int

  end = struct

    type float = real
    type intg = int

(* -- MATH UTILITIES --------------------------------------------------------*)

    val constant_pi        =  3.14159265358979323846
    val constant_minus_pi  = ~3.14159265358979323846
    val constant_pi2       =  1.57079632679489661923
    val constant_minus_pi2 = ~1.57079632679489661923

fun math_atan2 y x =
      if (x > 0.0)
	then Math.atan (y / x)
      else if Real.==(x, 0.0)
	then if y < 0.0
	  then constant_minus_pi2
          else Math.atan (y / x) + constant_minus_pi
      else if Real.==(x, 0.0)
	then constant_pi2
        else (Math.atan (y / x) + constant_pi)

(* -- POINTS ----------------------------------------------------------------*)

type pt = float * float * float

fun pt_sub ((x1,y1,z1):pt) (x2,y2,z2)
  = (x1 - x2, y1 - y2, z1 - z2)

fun pt_dist (x1,y1,z1) (x2,y2,z2) = let
      val dx = x1 - x2
      val dy = y1 - y2
      val dz = z1 - z2
    in
      Math.sqrt ((dx * dx) + (dy * dy) + (dz * dz))
    end

fun pt_phi (x,y,z) = let
      val b = math_atan2 x z
    in
      math_atan2
        (((Math.cos b) * z + ((Math.sin b) * x))) y
    end

fun pt_theta (x,y,z) =  math_atan2 x z

(* -- COORDINATE TRANSFORMATIONS --------------------------------------------*)

(* The notation for the transformations follows "Paul, R.P. (1981) Robot
|| Manipulators.  MIT Press." with the exception that our transformation
|| matrices don't have the perspective terms and are the transpose of
|| Paul's one.  See also "M\"antyl\"a, M. (1985) An Introduction to
|| Solid Modeling, Computer Science Press" Appendix A.
||
|| The components of a transformation matrix are named like this:
||
||  a  b  c
||  d  e  f
||  g  h  i
|| tx ty tz
||
|| The components tx, ty, and tz are the translation vector.
*)

type tfo
  = float*float*float*float*float*float*float*float*float*float*float*float

val tfo_id = (1.0,0.0,0.0,0.0,1.0,0.0,0.0,0.0,1.0,0.0,0.0,0.0)

(* The function "tfo-apply" multiplies a transformation matrix, tfo, by a
|| point vector, p.  The result is a new point.
||
|| Note: in the measured program, this function was coded in assembler.
*)

fun
tfo_apply (a,b,c,d,e,f,g,h,i,tx,ty,tz) (x:real,y:real,z:real)
  = (
      ((x * a) +
                  (y * d) +
                  (z * g) +
                  tx)
      ,
      ((x * b) +
                  (y * e) +
                  (z * h) +
                  ty)
      ,
      ((x * c) +
                  (y * f) +
                  (z * i) +
                  tz)
    )

(* The function "tfo-combine" multiplies two transformation matrices A and B.
|| The result is a new matrix which cumulates the transformations described
|| by A and B.
||
|| Note: in the measured program, this function was coded in assembler.
*)

fun
tfo_combine
  (a_a:real,a_b:real,a_c:real,a_d:real,a_e:real,a_f:real,a_g:real,a_h:real,a_i:real,a_tx:real,a_ty:real,a_tz:real)
  (b_a:real,b_b:real,b_c:real,b_d:real,b_e:real,b_f:real,b_g:real,b_h:real,b_i:real,b_tx:real,b_ty:real,b_tz:real)
  = (
      ((a_a * b_a) +
                  (a_b * b_d) +
                  (a_c * b_g))
      ,
      ((a_a * b_b) +
                  (a_b * b_e) +
                  (a_c * b_h))
      ,
      ((a_a * b_c) +
                  (a_b * b_f) +
                  (a_c * b_i))
      ,
      ((a_d * b_a) +
                  (a_e * b_d) +
                  (a_f * b_g))
      ,
      ((a_d * b_b) +
                  (a_e * b_e) +
                  (a_f * b_h))
      ,
      ((a_d * b_c) +
                  (a_e * b_f) +
                  (a_f * b_i))
      ,
      ((a_g * b_a) +
                  (a_h * b_d) +
                  (a_i * b_g))
      ,
      ((a_g * b_b) +
                  (a_h * b_e) +
                  (a_i * b_h))
      ,
      ((a_g * b_c) +
                  (a_h * b_f) +
                  (a_i * b_i))
      ,
      ((a_tx * b_a) +
                  (a_ty * b_d) +
                  (a_tz * b_g) +
                  b_tx)
      ,
      ((a_tx * b_b) +
                  (a_ty * b_e) +
                  (a_tz * b_h) +
                  b_ty)
      ,
      ((a_tx * b_c) +
                  (a_ty * b_f) +
                  (a_tz * b_i) +
                  b_tz)
    )

(* The function "tfo-inv-ortho" computes the inverse of a homogeneous
|| transformation matrix.
*)

fun
tfo_inv_ortho ((a,b,c,d,e,f,g,h,i,tx,ty,tz):tfo)
  = (
      a,d,g,
      b,e,h,
      c,f,i,
      (~((a * tx) +
                             (b * ty) +
                             (c * tz)))
      ,
      (~ ((d * tx) +
                             (e * ty) +
                             (f * tz)))
      ,
      (~ ((g * tx) +
                             (h * ty) +
                             (i * tz)))
    )

(* Given three points p1, p2, and p3, the function "tfo-align" computes
|| a transformation matrix such that point p1 gets mapped to (0,0,0), p2 gets
|| mapped to the Y axis and p3 gets mapped to the YZ plane.
*)

fun tfo_align (x1:real,y1:real,z1:real) (x2:real,y2:real,z2:real) (x3,y3,z3)
  = let
      val x31 = x3 - x1
      val y31 = y3 - y1
      val z31 = z3 - z1
      val rotpy = pt_sub (x2,y2,z2) (x1,y1,z1)
      val phi = pt_phi rotpy
      val theta = pt_theta rotpy
      val sinp = Math.sin phi
      val sint = Math.sin theta
      val cosp = Math.cos phi
      val cost = Math.cos theta
      val sinpsint = sinp * sint
      val sinpcost = sinp * cost
      val cospsint = cosp * sint
      val cospcost = cosp * cost
      val rotpz = (
                    ((cost * x31) -
                               (sint * z31))
                    ,
                    ((sinpsint * x31) +
                                (cosp * y31) +
                                (sinpcost * z31))
                    ,
                    ((cospsint * x31) +
                                (~ (sinp * y31)) +
                                (cospcost * z31))
                  )
      val rho = pt_theta rotpz
      val cosr = Math.cos rho
      val sinr = Math.sin rho
      val x = (~ (x1 * cost)) + (z1 * sint)
      val y = ((~ (x1 * sinpsint)) - (y1 * cosp)) -
                        (z1 * sinpcost)
      val z = ((~ (x1 * cospsint) + (y1 * sinp))) -
                        (z1 * cospcost)
    in
      (
        ((cost * cosr) - (cospsint * sinr))
        ,
        sinpsint
        ,
        ((cost * sinr + (cospsint * cosr)))
        ,
        (sinp * sinr)
        ,
        cosp
        ,
        (~ (sinp * cosr))
        ,
        ((~ (sint * cosr)) - (cospcost * sinr))
        ,
        sinpcost
        ,
        ((~ (sint * sinr) + (cospcost * cosr)))
        ,
        ((x * cosr) - (z * sinr))
        ,
        y
        ,
        ((x * sinr + (z * cosr)))
      )
    end

(* -- NUCLEIC ACID CONFORMATIONS DATA BASE ----------------------------------*)

(* Numbering of atoms follows the paper:
||
|| IUPAC-IUB Joint Commission on Biochemical Nomenclature (JCBN)
|| (1983) Abbreviations and Symbols for the Description of
|| Conformations of Polynucleotide Chains.  Eur. J. Biochem 131,
|| 9-15.
||
|| In the atom names, we have used "*" instead of "'".
*)

(* Define remaining atoms for each nucleotide type. *)

datatype nuc_specific
  = A of pt*pt*pt*pt*pt*pt*pt*pt
  | C of pt*pt*pt*pt*pt*pt
  | G of pt*pt*pt*pt*pt*pt*pt*pt*pt
  | U of pt*pt*pt*pt*pt

(* A N6 N7 N9 C8 H2 H61 H62 H8
|| C N4 O2 H41 H42 H5 H6
|| G N2 N7 N9 C8 O6 H1 H21 H22 H8
|| U O2 O4 H3 H5 H6
*)

(* Define part common to all 4 nucleotide types. *)

type nuc = tfo*tfo*tfo*tfo*
           pt*pt*pt*pt*pt*pt*pt*pt*pt*pt*pt*pt*
           pt*pt*pt*pt*pt*pt*pt*pt*pt*pt*pt*pt*
           pt*nuc_specific

(*  dgf-base-tfo  ; defines the standard position for wc and wc-dumas
||  P-O3*-275-tfo ; defines the standard position for the connect function
||  P-O3*-180-tfo
||  P-O3*-60-tfo
||  P O1P O2P O5* C5* H5* H5** C4* H4* O4* C1* H1* C2* H2** O2* H2* C3*
||  H3* O3* N1 N3 C2 C4 C5 C6)
*)

fun
is_A (dgf_base_tfo,p_o3'_275_tfo,p_o3'_180_tfo,p_o3'_60_tfo,
      p,o1p,o2p,o5',c5',h5',h5'',c4',h4',o4',c1',h1',c2',h2'',o2',h2',
      c3',h3',o3',n1,n3,c2,c4,c5,c6,A _)
  = true
|
is_A x
  = false

fun
is_C (dgf_base_tfo,p_o3'_275_tfo,p_o3'_180_tfo,p_o3'_60_tfo,
      p,o1p,o2p,o5',c5',h5',h5'',c4',h4',o4',c1',h1',c2',h2'',o2',h2',
      c3',h3',o3',n1,n3,c2,c4,c5,c6,C _)
  = true
|
is_C x
  = false

fun
is_G (dgf_base_tfo,p_o3'_275_tfo,p_o3'_180_tfo,p_o3'_60_tfo,
      p,o1p,o2p,o5',c5',h5',h5'',c4',h4',o4',c1',h1',c2',h2'',o2',h2',
      c3',h3',o3',n1,n3,c2,c4,c5,c6,G _)
  = true
|
is_G x
  = false

fun
is_U (dgf_base_tfo,p_o3'_275_tfo,p_o3'_180_tfo,p_o3'_60_tfo,
      p,o1p,o2p,o5',c5',h5',h5'',c4',h4',o4',c1',h1',c2',h2'',o2',h2',
      c3',h3',o3',n1,n3,c2,c4,c5,c6,U _)
  = true
|
is_U x
  = false

fun
nuc_C1'
  (dgf_base_tfo,p_o3'_275_tfo,p_o3'_180_tfo,p_o3'_60_tfo,
   p,o1p,o2p,o5',c5',h5',h5'',c4',h4',o4',c1',h1',c2',h2'',o2',h2',
   c3',h3',o3',n1,n3,c2,c4,c5,c6,_)
  = c1'

fun
nuc_C2 
  (dgf_base_tfo,p_o3'_275_tfo,p_o3'_180_tfo,p_o3'_60_tfo,
   p,o1p,o2p,o5',c5',h5',h5'',c4',h4',o4',c1',h1',c2',h2'',o2',h2',
   c3',h3',o3',n1,n3,c2,c4,c5,c6,_)
  = c2

fun
nuc_C3'
  (dgf_base_tfo,p_o3'_275_tfo,p_o3'_180_tfo,p_o3'_60_tfo,
   p,o1p,o2p,o5',c5',h5',h5'',c4',h4',o4',c1',h1',c2',h2'',o2',h2',
   c3',h3',o3',n1,n3,c2,c4,c5,c6,_)
  = c3'

fun
nuc_C4 
  (dgf_base_tfo,p_o3'_275_tfo,p_o3'_180_tfo,p_o3'_60_tfo,
   p,o1p,o2p,o5',c5',h5',h5'',c4',h4',o4',c1',h1',c2',h2'',o2',h2',
   c3',h3',o3',n1,n3,c2,c4,c5,c6,_)
  = c4

fun
nuc_C4'
  (dgf_base_tfo,p_o3'_275_tfo,p_o3'_180_tfo,p_o3'_60_tfo,
   p,o1p,o2p,o5',c5',h5',h5'',c4',h4',o4',c1',h1',c2',h2'',o2',h2',
   c3',h3',o3',n1,n3,c2,c4,c5,c6,_)
  = c4'

fun
nuc_N1 
  (dgf_base_tfo,p_o3'_275_tfo,p_o3'_180_tfo,p_o3'_60_tfo,
   p,o1p,o2p,o5',c5',h5',h5'',c4',h4',o4',c1',h1',c2',h2'',o2',h2',
   c3',h3',o3',n1,n3,c2,c4,c5,c6,_)
  = n1

fun
nuc_O3'
  (dgf_base_tfo,p_o3'_275_tfo,p_o3'_180_tfo,p_o3'_60_tfo,
   p,o1p,o2p,o5',c5',h5',h5'',c4',h4',o4',c1',h1',c2',h2'',o2',h2',
   c3',h3',o3',n1,n3,c2,c4,c5,c6,_)
  = o3'

fun
nuc_P
  (dgf_base_tfo,p_o3'_275_tfo,p_o3'_180_tfo,p_o3'_60_tfo,
   p,o1p,o2p,o5',c5',h5',h5'',c4',h4',o4',c1',h1',c2',h2'',o2',h2',
   c3',h3',o3',n1,n3,c2,c4,c5,c6,_)
  = p

fun
nuc_dgf_base_tfo
  (dgf_base_tfo,p_o3'_275_tfo,p_o3'_180_tfo,p_o3'_60_tfo,
   p,o1p,o2p,o5',c5',h5',h5'',c4',h4',o4',c1',h1',c2',h2'',o2',h2',
   c3',h3',o3',n1,n3,c2,c4,c5,c6,_)
  = dgf_base_tfo

fun
nuc_p_o3'_180_tfo
  (dgf_base_tfo,p_o3'_275_tfo,p_o3'_180_tfo,p_o3'_60_tfo,
   p,o1p,o2p,o5',c5',h5',h5'',c4',h4',o4',c1',h1',c2',h2'',o2',h2',
   c3',h3',o3',n1,n3,c2,c4,c5,c6,_)
  = p_o3'_180_tfo

fun
nuc_p_o3'_275_tfo
  (dgf_base_tfo,p_o3'_275_tfo,p_o3'_180_tfo,p_o3'_60_tfo,
   p,o1p,o2p,o5',c5',h5',h5'',c4',h4',o4',c1',h1',c2',h2'',o2',h2',
   c3',h3',o3',n1,n3,c2,c4,c5,c6,_)
  = p_o3'_275_tfo

fun
nuc_p_o3'_60_tfo
  (dgf_base_tfo,p_o3'_275_tfo,p_o3'_180_tfo,p_o3'_60_tfo,
   p,o1p,o2p,o5',c5',h5',h5'',c4',h4',o4',c1',h1',c2',h2'',o2',h2',
   c3',h3',o3',n1,n3,c2,c4,c5,c6,_)
  = p_o3'_60_tfo

fun
rA_N9  
  (dgf_base_tfo,p_o3'_275_tfo,p_o3'_180_tfo,p_o3'_60_tfo,
   p,o1p,o2p,o5',c5',h5',h5'',c4',h4',o4',c1',h1',c2',h2'',o2',h2',
   c3',h3',o3',n1,n3,c2,c4,c5,c6,A (n6,n7,n9,c8,h2,h61,h62,h8))
  = n9

fun
rG_N9  
  (dgf_base_tfo,p_o3'_275_tfo,p_o3'_180_tfo,p_o3'_60_tfo,
   p,o1p,o2p,o5',c5',h5',h5'',c4',h4',o4',c1',h1',c2',h2'',o2',h2',
   c3',h3',o3',n1,n3,c2,c4,c5,c6,G (n2,n7,n9,c8,o6,h1,h21,h22,h8))
  = n9

(* Database of nucleotide conformations: *)

val rA
  = (
      (    (~0.0018),  (~0.8207),   (0.5714),  (* dgf-base-tfo *)
            (0.2679),  (~0.5509),  (~0.7904),
            (0.9634),   (0.1517),   (0.2209),
            (0.0073),   (8.4030),   (0.6232)),
      (    (~0.8143),  (~0.5091),  (~0.2788),  (* P-O3'-275-tfo *)
           (~0.0433),  (~0.4257),   (0.9038),
           (~0.5788),   (0.7480),   (0.3246),
            (1.5227),   (6.9114),  (~7.0765)),
      (     (0.3822),  (~0.7477),   (0.5430),  (* P-O3'-180-tfo *)
            (0.4552),   (0.6637),   (0.5935),
           (~0.8042),   (0.0203),   (0.5941),
           (~6.9472),  (~4.1186),  (~5.9108)),
      (     (0.5640),   (0.8007),  (~0.2022),  (* P-O3'-60-tfo *)
           (~0.8247),   (0.5587),  (~0.0878),
            (0.0426),   (0.2162),   (0.9754),
            (6.2694),  (~7.0540),   (3.3316)),
      (    (2.8930),   (8.5380),  (~3.3280)), (* P    *)
      (    (1.6980),   (7.6960),  (~3.5570)), (* O1P  *)
      (    (3.2260),   (9.5010),  (~4.4020)), (* O2P  *)
      (    (4.1590),   (7.6040),  (~3.0340)), (* O5'  *)
      (    (5.4550),   (8.2120),  (~2.8810)), (* C5'  *)
      (    (5.4546),   (8.8508),  (~1.9978)), (* H5'  *)
      (    (5.7588),   (8.6625),  (~3.8259)), (* H5'' *)
      (    (6.4970),   (7.1480),  (~2.5980)), (* C4'  *)
      (    (7.4896),   (7.5919),  (~2.5214)), (* H4'  *)
      (    (6.1630),   (6.4860),  (~1.3440)), (* O4'  *)
      (    (6.5400),   (5.1200),  (~1.4190)), (* C1'  *)
      (    (7.2763),   (4.9681),  (~0.6297)), (* H1'  *)
      (    (7.1940),   (4.8830),  (~2.7770)), (* C2'  *)
      (    (6.8667),   (3.9183),  (~3.1647)), (* H2'' *)
      (    (8.5860),   (5.0910),  (~2.6140)), (* O2'  *)
      (    (8.9510),   (4.7626),  (~1.7890)), (* H2'  *)
      (    (6.5720),   (6.0040),  (~3.6090)), (* C3'  *)
      (    (5.5636),   (5.7066),  (~3.8966)), (* H3'  *)
      (    (7.3801),   (6.3562),  (~4.7350)), (* O3'  *)
      (    (4.7150),   (0.4910),  (~0.1360)), (* N1   *)
      (    (6.3490),   (2.1730),  (~0.6020)), (* N3   *)
      (    (5.9530),   (0.9650),  (~0.2670)), (* C2   *)
      (    (5.2900),   (2.9790),  (~0.8260)), (* C4   *)
      (    (3.9720),   (2.6390),  (~0.7330)), (* C5   *)
      (    (3.6770),   (1.3160),  (~0.3660)), (* C6 *)
      (A (
      (    (2.4280),   (0.8450),  (~0.2360)), (* N6   *)
      (    (3.1660),   (3.7290),  (~1.0360)), (* N7   *)
      (    (5.3170),   (4.2990),  (~1.1930)), (* N9   *)
      (    (4.0100),   (4.6780),  (~1.2990)), (* C8   *)
      (    (6.6890),   (0.1903),  (~0.0518)), (* H2   *)
      (    (1.6470),   (1.4460),  (~0.4040)), (* H61  *)
      (    (2.2780),  (~0.1080),  (~0.0280)), (* H62  *)
      (    (3.4421),   (5.5744),  (~1.5482))) (* H8   *)
      )
    )

val rA01
  = (
      (    (~0.0043),  (~0.8175),   (0.5759),  (* dgf-base-tfo *)
            (0.2617),  (~0.5567),  (~0.7884),
            (0.9651),   (0.1473),   (0.2164),
            (0.0359),   (8.3929),   (0.5532)),
      (    (~0.8143),  (~0.5091),  (~0.2788),  (* P-O3'-275-tfo *)
           (~0.0433),  (~0.4257),   (0.9038),
           (~0.5788),   (0.7480),   (0.3246),
            (1.5227),   (6.9114),  (~7.0765)),
      (     (0.3822),  (~0.7477),   (0.5430),  (* P-O3'-180-tfo *)
            (0.4552),   (0.6637),   (0.5935),
           (~0.8042),   (0.0203),   (0.5941),
           (~6.9472),  (~4.1186),  (~5.9108)),
      (     (0.5640),   (0.8007),  (~0.2022),  (* P-O3'-60-tfo *)
           (~0.8247),   (0.5587),  (~0.0878),
            (0.0426),   (0.2162),   (0.9754),
            (6.2694),  (~7.0540),   (3.3316)),
      (    (2.8930),   (8.5380),  (~3.3280)), (* P    *)
      (    (1.6980),   (7.6960),  (~3.5570)), (* O1P  *)
      (    (3.2260),   (9.5010),  (~4.4020)), (* O2P  *)
      (    (4.1590),   (7.6040),  (~3.0340)), (* O5'  *)
      (    (5.4352),   (8.2183),  (~2.7757)), (* C5'  *)
      (    (5.3830),   (8.7883),  (~1.8481)), (* H5'  *)
      (    (5.7729),   (8.7436),  (~3.6691)), (* H5'' *)
      (    (6.4830),   (7.1518),  (~2.5252)), (* C4'  *)
      (    (7.4749),   (7.5972),  (~2.4482)), (* H4'  *)
      (    (6.1626),   (6.4620),  (~1.2827)), (* O4'  *)
      (    (6.5431),   (5.0992),  (~1.3905)), (* C1'  *)
      (    (7.2871),   (4.9328),  (~0.6114)), (* H1'  *)
      (    (7.1852),   (4.8935),  (~2.7592)), (* C2'  *)
      (    (6.8573),   (3.9363),  (~3.1645)), (* H2'' *)
      (    (8.5780),   (5.1025),  (~2.6046)), (* O2'  *)
      (    (8.9516),   (4.7577),  (~1.7902)), (* H2'  *)
      (    (6.5522),   (6.0300),  (~3.5612)), (* C3'  *)
      (    (5.5420),   (5.7356),  (~3.8459)), (* H3'  *)
      (    (7.3487),   (6.4089),  (~4.6867)), (* O3'  *)
      (    (4.7442),   (0.4514),  (~0.1390)), (* N1   *)
      (    (6.3687),   (2.1459),  (~0.5926)), (* N3   *)
      (    (5.9795),   (0.9335),  (~0.2657)), (* C2   *)
      (    (5.3052),   (2.9471),  (~0.8125)), (* C4   *)
      (    (3.9891),   (2.5987),  (~0.7230)), (* C5   *)
      (    (3.7016),   (1.2717),  (~0.3647)), (* C6 *)
      (A (
      (    (2.4553),   (0.7925),  (~0.2390)), (* N6   *)
      (    (3.1770),   (3.6859),  (~1.0198)), (* N7   *)
      (    (5.3247),   (4.2695),  (~1.1710)), (* N9   *)
      (    (4.0156),   (4.6415),  (~1.2759)), (* C8   *)
      (    (6.7198),   (0.1618),  (~0.0547)), (* H2   *)
      (    (1.6709),   (1.3900),  (~0.4039)), (* H61  *)
      (    (2.3107),  (~0.1627),  (~0.0373)), (* H62  *)
      (    (3.4426),   (5.5361),  (~1.5199))) (* H8   *)
      )
    )

val rA02
  = (
      (     (0.5566),   (0.0449),   (0.8296),  (* dgf-base-tfo *)
            (0.5125),   (0.7673),  (~0.3854),
           (~0.6538),   (0.6397),   (0.4041),
           (~9.1161),  (~3.7679),  (~2.9968)),
      (    (~0.8143),  (~0.5091),  (~0.2788),  (* P-O3'-275-tfo *)
           (~0.0433),  (~0.4257),   (0.9038),
           (~0.5788),   (0.7480),   (0.3246),
            (1.5227),   (6.9114),  (~7.0765)),
      (     (0.3822),  (~0.7477),   (0.5430),  (* P-O3'-180-tfo *)
            (0.4552),   (0.6637),   (0.5935),
           (~0.8042),   (0.0203),   (0.5941),
           (~6.9472),  (~4.1186),  (~5.9108)),
      (     (0.5640),   (0.8007),  (~0.2022),  (* P-O3'-60-tfo *)
           (~0.8247),   (0.5587),  (~0.0878),
            (0.0426),   (0.2162),   (0.9754),
            (6.2694),  (~7.0540),   (3.3316)),
      (    (2.8930),   (8.5380),  (~3.3280)), (* P    *)
      (    (1.6980),   (7.6960),  (~3.5570)), (* O1P  *)
      (    (3.2260),   (9.5010),  (~4.4020)), (* O2P  *)
      (    (4.1590),   (7.6040),  (~3.0340)), (* O5'  *)
      (    (4.5778),   (6.6594),  (~4.0364)), (* C5'  *)
      (    (4.9220),   (7.1963),  (~4.9204)), (* H5'  *)
      (    (3.7996),   (5.9091),  (~4.1764)), (* H5'' *)
      (    (5.7873),   (5.8869),  (~3.5482)), (* C4'  *)
      (    (6.0405),   (5.0875),  (~4.2446)), (* H4'  *)
      (    (6.9135),   (6.8036),  (~3.4310)), (* O4'  *)
      (    (7.7293),   (6.4084),  (~2.3392)), (* C1'  *)
      (    (8.7078),   (6.1815),  (~2.7624)), (* H1'  *)
      (    (7.1305),   (5.1418),  (~1.7347)), (* C2'  *)
      (    (7.2040),   (5.1982),  (~0.6486)), (* H2'' *)
      (    (7.7417),   (4.0392),  (~2.3813)), (* O2'  *)
      (    (8.6785),   (4.1443),  (~2.5630)), (* H2'  *)
      (    (5.6666),   (5.2728),  (~2.1536)), (* C3'  *)
      (    (5.1747),   (5.9805),  (~1.4863)), (* H3'  *)
      (    (4.9997),   (4.0086),  (~2.1973)), (* O3'  *)
      (   (10.3245),   (8.5459),   (1.5467)), (* N1   *)
      (    (9.8051),   (6.9432),  (~0.1497)), (* N3   *)
      (   (10.5175),   (7.4328),   (0.8408)), (* C2   *)
      (    (8.7523),   (7.7422),  (~0.4228)), (* C4   *)
      (    (8.4257),   (8.9060),   (0.2099)), (* C5   *)
      (    (9.2665),   (9.3242),   (1.2540)), (* C6 *)
      (A (
      (    (9.0664),  (10.4462),   (1.9610)), (* N6   *)
      (    (7.2750),   (9.4537),  (~0.3428)), (* N7   *)
      (    (7.7962),   (7.5519),  (~1.3859)), (* N9   *)
      (    (6.9479),   (8.6157),  (~1.2771)), (* C8   *)
      (   (11.4063),   (6.9047),   (1.1859)), (* H2   *)
      (    (8.2845),  (11.0341),   (1.7552)), (* H61  *)
      (    (9.6584),  (10.6647),   (2.7198)), (* H62  *)
      (    (6.0430),   (8.9853),  (~1.7594))) (* H8   *)
      )
    )

val rA03
  = (
      (    (~0.5021),   (0.0731),   (0.8617),  (* dgf-base-tfo *)
           (~0.8112),   (0.3054),  (~0.4986),
           (~0.2996),  (~0.9494),  (~0.0940),
            (6.4273),  (~5.1944),  (~3.7807)),
      (    (~0.8143),  (~0.5091),  (~0.2788),  (* P-O3'-275-tfo *)
           (~0.0433),  (~0.4257),   (0.9038),
           (~0.5788),   (0.7480),   (0.3246),
            (1.5227),   (6.9114),  (~7.0765)),
      (     (0.3822),  (~0.7477),   (0.5430),  (* P-O3'-180-tfo *)
            (0.4552),   (0.6637),   (0.5935),
           (~0.8042),   (0.0203),   (0.5941),
           (~6.9472),  (~4.1186),  (~5.9108)),
      (     (0.5640),   (0.8007),  (~0.2022),  (* P-O3'-60-tfo *)
           (~0.8247),   (0.5587),  (~0.0878),
            (0.0426),   (0.2162),   (0.9754),
            (6.2694),  (~7.0540),   (3.3316)),
      (    (2.8930),   (8.5380),  (~3.3280)), (* P    *)
      (    (1.6980),   (7.6960),  (~3.5570)), (* O1P  *)
      (    (3.2260),   (9.5010),  (~4.4020)), (* O2P  *)
      (    (4.1590),   (7.6040),  (~3.0340)), (* O5'  *)
      (    (4.1214),   (6.7116),  (~1.9049)), (* C5'  *)
      (    (3.3465),   (5.9610),  (~2.0607)), (* H5'  *)
      (    (4.0789),   (7.2928),  (~0.9837)), (* H5'' *)
      (    (5.4170),   (5.9293),  (~1.8186)), (* C4'  *)
      (    (5.4506),   (5.3400),  (~0.9023)), (* H4'  *)
      (    (5.5067),   (5.0417),  (~2.9703)), (* O4'  *)
      (    (6.8650),   (4.9152),  (~3.3612)), (* C1'  *)
      (    (7.1090),   (3.8577),  (~3.2603)), (* H1'  *)
      (    (7.7152),   (5.7282),  (~2.3894)), (* C2'  *)
      (    (8.5029),   (6.2356),  (~2.9463)), (* H2'' *)
      (    (8.1036),   (4.8568),  (~1.3419)), (* O2'  *)
      (    (8.3270),   (3.9651),  (~1.6184)), (* H2'  *)
      (    (6.7003),   (6.7565),  (~1.8911)), (* C3'  *)
      (    (6.5898),   (7.5329),  (~2.6482)), (* H3'  *)
      (    (7.0505),   (7.2878),  (~0.6105)), (* O3'  *)
      (    (9.6740),   (4.7656),  (~7.6614)), (* N1   *)
      (    (9.0739),   (4.3013),  (~5.3941)), (* N3   *)
      (    (9.8416),   (4.2192),  (~6.4581)), (* C2   *)
      (    (7.9885),   (5.0632),  (~5.6446)), (* C4   *)
      (    (7.6822),   (5.6856),  (~6.8194)), (* C5   *)
      (    (8.5831),   (5.5215),  (~7.8840)), (* C6 *)
      (A (
      (    (8.4084),   (6.0747),  (~9.0933)), (* N6   *)
      (    (6.4857),   (6.3816),  (~6.7035)), (* N7   *)
      (    (6.9740),   (5.3703),  (~4.7760)), (* N9   *)
      (    (6.1133),   (6.1613),  (~5.4808)), (* C8   *)
      (   (10.7627),   (3.6375),  (~6.4220)), (* H2   *)
      (    (7.6031),   (6.6390),  (~9.2733)), (* H61  *)
      (    (9.1004),   (5.9708),  (~9.7893)), (* H62  *)
      (    (5.1705),   (6.6830),  (~5.3167))) (* H8   *)
      )
    )

val rA04
  = (
      (    (~0.5426),  (~0.8175),   (0.1929),  (* dgf-base-tfo *)
            (0.8304),  (~0.5567),  (~0.0237),
            (0.1267),   (0.1473),   (0.9809),
           (~0.5075),   (8.3929),   (0.2229)),
      (    (~0.8143),  (~0.5091),  (~0.2788),  (* P-O3'-275-tfo *)
           (~0.0433),  (~0.4257),   (0.9038),
           (~0.5788),   (0.7480),   (0.3246),
            (1.5227),   (6.9114),  (~7.0765)),
      (     (0.3822),  (~0.7477),   (0.5430),  (* P-O3'-180-tfo *)
            (0.4552),   (0.6637),   (0.5935),
           (~0.8042),   (0.0203),   (0.5941),
           (~6.9472),  (~4.1186),  (~5.9108)),
      (     (0.5640),   (0.8007),  (~0.2022),  (* P-O3'-60-tfo *)
           (~0.8247),   (0.5587),  (~0.0878),
            (0.0426),   (0.2162),   (0.9754),
            (6.2694),  (~7.0540),   (3.3316)),
      (    (2.8930),   (8.5380),  (~3.3280)), (* P    *)
      (    (1.6980),   (7.6960),  (~3.5570)), (* O1P  *)
      (    (3.2260),   (9.5010),  (~4.4020)), (* O2P  *)
      (    (4.1590),   (7.6040),  (~3.0340)), (* O5'  *)
      (    (5.4352),   (8.2183),  (~2.7757)), (* C5'  *)
      (    (5.3830),   (8.7883),  (~1.8481)), (* H5'  *)
      (    (5.7729),   (8.7436),  (~3.6691)), (* H5'' *)
      (    (6.4830),   (7.1518),  (~2.5252)), (* C4'  *)
      (    (7.4749),   (7.5972),  (~2.4482)), (* H4'  *)
      (    (6.1626),   (6.4620),  (~1.2827)), (* O4'  *)
      (    (6.5431),   (5.0992),  (~1.3905)), (* C1'  *)
      (    (7.2871),   (4.9328),  (~0.6114)), (* H1'  *)
      (    (7.1852),   (4.8935),  (~2.7592)), (* C2'  *)
      (    (6.8573),   (3.9363),  (~3.1645)), (* H2'' *)
      (    (8.5780),   (5.1025),  (~2.6046)), (* O2'  *)
      (    (8.9516),   (4.7577),  (~1.7902)), (* H2'  *)
      (    (6.5522),   (6.0300),  (~3.5612)), (* C3'  *)
      (    (5.5420),   (5.7356),  (~3.8459)), (* H3'  *)
      (    (7.3487),   (6.4089),  (~4.6867)), (* O3'  *)
      (    (3.6343),   (2.6680),   (2.0783)), (* N1   *)
      (    (5.4505),   (3.9805),   (1.2446)), (* N3   *)
      (    (4.7540),   (3.3816),   (2.1851)), (* C2   *)
      (    (4.8805),   (3.7951),   (0.0354)), (* C4   *)
      (    (3.7416),   (3.0925),  (~0.2305)), (* C5   *)
      (    (3.0873),   (2.4980),   (0.8606)), (* C6 *)
      (A (
      (    (1.9600),   (1.7805),   (0.7462)), (* N6   *)
      (    (3.4605),   (3.1184),  (~1.5906)), (* N7   *)
      (    (5.3247),   (4.2695),  (~1.1710)), (* N9   *)
      (    (4.4244),   (3.8244),  (~2.0953)), (* C8   *)
      (    (5.0814),   (3.4352),   (3.2234)), (* H2   *)
      (    (1.5423),   (1.6454),  (~0.1520)), (* H61  *)
      (    (1.5716),   (1.3398),   (1.5392)), (* H62  *)
      (    (4.2675),   (3.8876),  (~3.1721))) (* H8   *)
      )
    )

val rA05
  = (
      (    (~0.5891),   (0.0449),   (0.8068),  (* dgf-base-tfo *)
            (0.5375),   (0.7673),   (0.3498),
           (~0.6034),   (0.6397),  (~0.4762),
           (~0.3019),  (~3.7679),  (~9.5913)),
      (    (~0.8143),  (~0.5091),  (~0.2788),  (* P-O3'-275-tfo *)
           (~0.0433),  (~0.4257),   (0.9038),
           (~0.5788),   (0.7480),   (0.3246),
            (1.5227),   (6.9114),  (~7.0765)),
      (     (0.3822),  (~0.7477),   (0.5430),  (* P-O3'-180-tfo *)
            (0.4552),   (0.6637),   (0.5935),
           (~0.8042),   (0.0203),   (0.5941),
           (~6.9472),  (~4.1186),  (~5.9108)),
      (     (0.5640),   (0.8007),  (~0.2022),  (* P-O3'-60-tfo *)
           (~0.8247),   (0.5587),  (~0.0878),
            (0.0426),   (0.2162),   (0.9754),
            (6.2694),  (~7.0540),   (3.3316)),
      (    (2.8930),   (8.5380),  (~3.3280)), (* P    *)
      (    (1.6980),   (7.6960),  (~3.5570)), (* O1P  *)
      (    (3.2260),   (9.5010),  (~4.4020)), (* O2P  *)
      (    (4.1590),   (7.6040),  (~3.0340)), (* O5'  *)
      (    (4.5778),   (6.6594),  (~4.0364)), (* C5'  *)
      (    (4.9220),   (7.1963),  (~4.9204)), (* H5'  *)
      (    (3.7996),   (5.9091),  (~4.1764)), (* H5'' *)
      (    (5.7873),   (5.8869),  (~3.5482)), (* C4'  *)
      (    (6.0405),   (5.0875),  (~4.2446)), (* H4'  *)
      (    (6.9135),   (6.8036),  (~3.4310)), (* O4'  *)
      (    (7.7293),   (6.4084),  (~2.3392)), (* C1'  *)
      (    (8.7078),   (6.1815),  (~2.7624)), (* H1'  *)
      (    (7.1305),   (5.1418),  (~1.7347)), (* C2'  *)
      (    (7.2040),   (5.1982),  (~0.6486)), (* H2'' *)
      (    (7.7417),   (4.0392),  (~2.3813)), (* O2'  *)
      (    (8.6785),   (4.1443),  (~2.5630)), (* H2'  *)
      (    (5.6666),   (5.2728),  (~2.1536)), (* C3'  *)
      (    (5.1747),   (5.9805),  (~1.4863)), (* H3'  *)
      (    (4.9997),   (4.0086),  (~2.1973)), (* O3'  *)
      (   (10.2594),  (10.6774),  (~1.0056)), (* N1   *)
      (    (9.7528),   (8.7080),  (~2.2631)), (* N3   *)
      (   (10.4471),   (9.7876),  (~1.9791)), (* C2   *)
      (    (8.7271),   (8.5575),  (~1.3991)), (* C4   *)
      (    (8.4100),   (9.3803),  (~0.3580)), (* C5   *)
      (    (9.2294),  (10.5030),  (~0.1574)), (* C6 *)
      (A (
      (    (9.0349),  (11.3951),   (0.8250)), (* N6   *)
      (    (7.2891),   (8.9068),   (0.3121)), (* N7   *)
      (    (7.7962),   (7.5519),  (~1.3859)), (* N9   *)
      (    (6.9702),   (7.8292),  (~0.3353)), (* C8   *)
      (   (11.3132),  (10.0537),  (~2.5851)), (* H2   *)
      (    (8.2741),  (11.2784),   (1.4629)), (* H61  *)
      (    (9.6733),  (12.1368),   (0.9529)), (* H62  *)
      (    (6.0888),   (7.3990),   (0.1403))) (* H8   *)
      )
    )

val rA06
  = (
      (    (~0.9815),   (0.0731),  (~0.1772),  (* dgf-base-tfo *)
            (0.1912),   (0.3054),  (~0.9328),
           (~0.0141),  (~0.9494),  (~0.3137),
            (5.7506),  (~5.1944),   (4.7470)),
      (    (~0.8143),  (~0.5091),  (~0.2788),  (* P-O3'-275-tfo *)
           (~0.0433),  (~0.4257),   (0.9038),
           (~0.5788),   (0.7480),   (0.3246),
            (1.5227),   (6.9114),  (~7.0765)),
      (     (0.3822),  (~0.7477),   (0.5430),  (* P-O3'-180-tfo *)
            (0.4552),   (0.6637),   (0.5935),
           (~0.8042),   (0.0203),   (0.5941),
           (~6.9472),  (~4.1186),  (~5.9108)),
      (     (0.5640),   (0.8007),  (~0.2022),  (* P-O3'-60-tfo *)
           (~0.8247),   (0.5587),  (~0.0878),
            (0.0426),   (0.2162),   (0.9754),
            (6.2694),  (~7.0540),   (3.3316)),
      (    (2.8930),   (8.5380),  (~3.3280)), (* P    *)
      (    (1.6980),   (7.6960),  (~3.5570)), (* O1P  *)
      (    (3.2260),   (9.5010),  (~4.4020)), (* O2P  *)
      (    (4.1590),   (7.6040),  (~3.0340)), (* O5'  *)
      (    (4.1214),   (6.7116),  (~1.9049)), (* C5'  *)
      (    (3.3465),   (5.9610),  (~2.0607)), (* H5'  *)
      (    (4.0789),   (7.2928),  (~0.9837)), (* H5'' *)
      (    (5.4170),   (5.9293),  (~1.8186)), (* C4'  *)
      (    (5.4506),   (5.3400),  (~0.9023)), (* H4'  *)
      (    (5.5067),   (5.0417),  (~2.9703)), (* O4'  *)
      (    (6.8650),   (4.9152),  (~3.3612)), (* C1'  *)
      (    (7.1090),   (3.8577),  (~3.2603)), (* H1'  *)
      (    (7.7152),   (5.7282),  (~2.3894)), (* C2'  *)
      (    (8.5029),   (6.2356),  (~2.9463)), (* H2'' *)
      (    (8.1036),   (4.8568),  (~1.3419)), (* O2'  *)
      (    (8.3270),   (3.9651),  (~1.6184)), (* H2'  *)
      (    (6.7003),   (6.7565),  (~1.8911)), (* C3'  *)
      (    (6.5898),   (7.5329),  (~2.6482)), (* H3'  *)
      (    (7.0505),   (7.2878),  (~0.6105)), (* O3'  *)
      (    (6.6624),   (3.5061),  (~8.2986)), (* N1   *)
      (    (6.5810),   (3.2570),  (~5.9221)), (* N3   *)
      (    (6.5151),   (2.8263),  (~7.1625)), (* C2   *)
      (    (6.8364),   (4.5817),  (~5.8882)), (* C4   *)
      (    (7.0116),   (5.4064),  (~6.9609)), (* C5   *)
      (    (6.9173),   (4.8260),  (~8.2361)), (* C6 *)
      (A (
      (    (7.0668),   (5.5163),  (~9.3763)), (* N6   *)
      (    (7.2573),   (6.7070),  (~6.5394)), (* N7   *)
      (    (6.9740),   (5.3703),  (~4.7760)), (* N9   *)
      (    (7.2238),   (6.6275),  (~5.2453)), (* C8   *)
      (    (6.3146),   (1.7741),  (~7.3641)), (* H2   *)
      (    (7.2568),   (6.4972),  (~9.3456)), (* H61  *)
      (    (7.0437),   (5.0478), (~10.2446)), (* H62  *)
      (    (7.4108),   (7.6227),  (~4.8418))) (* H8   *)
      )
    )

val rA07
  = (
      (     (0.2379),   (0.1310),  (~0.9624),  (* dgf-base-tfo *)
           (~0.5876),  (~0.7696),  (~0.2499),
           (~0.7734),   (0.6249),  (~0.1061),
           (30.9870), (~26.9344),  (42.6416)),
      (     (0.7529),   (0.1548),   (0.6397),  (* P-O3'-275-tfo *)
            (0.2952),  (~0.9481),  (~0.1180),
            (0.5882),   (0.2777),  (~0.7595),
          (~58.8919), (~11.3095),   (6.0866)),
      (    (~0.0239),   (0.9667),  (~0.2546),  (* P-O3'-180-tfo *)
            (0.9731),  (~0.0359),  (~0.2275),
           (~0.2290),  (~0.2532),  (~0.9399),
            (3.5401), (~29.7913),  (52.2796)),
      (    (~0.8912),  (~0.4531),   (0.0242),  (* P-O3'-60-tfo *)
           (~0.1183),   (0.1805),  (~0.9764),
            (0.4380),  (~0.8730),  (~0.2145),
           (19.9023),  (54.8054),  (15.2799)),
      (   (41.8210),   (8.3880),  (43.5890)), (* P    *)
      (   (42.5400),   (8.0450),  (44.8330)), (* O1P  *)
      (   (42.2470),   (9.6920),  (42.9910)), (* O2P  *)
      (   (40.2550),   (8.2030),  (43.7340)), (* O5'  *)
      (   (39.3505),   (8.4697),  (42.6565)), (* C5'  *)
      (   (39.1377),   (7.5433),  (42.1230)), (* H5'  *)
      (   (39.7203),   (9.3119),  (42.0717)), (* H5'' *)
      (   (38.0405),   (8.9195),  (43.2869)), (* C4'  *)
      (   (37.3687),   (9.3036),  (42.5193)), (* H4'  *)
      (   (37.4319),   (7.8146),  (43.9387)), (* O4'  *)
      (   (37.1959),   (8.1354),  (45.3237)), (* C1'  *)
      (   (36.1788),   (8.5202),  (45.3970)), (* H1'  *)
      (   (38.1721),   (9.2328),  (45.6504)), (* C2'  *)
      (   (39.1555),   (8.7939),  (45.8188)), (* H2'' *)
      (   (37.7862),  (10.0617),  (46.7013)), (* O2'  *)
      (   (37.3087),   (9.6229),  (47.4092)), (* H2'  *)
      (   (38.1844),  (10.0268),  (44.3367)), (* C3'  *)
      (   (39.1578),  (10.5054),  (44.2289)), (* H3'  *)
      (   (37.0547),  (10.9127),  (44.3441)), (* O3'  *)
      (   (34.8811),   (4.2072),  (47.5784)), (* N1   *)
      (   (35.1084),   (6.1336),  (46.1818)), (* N3   *)
      (   (34.4108),   (5.1360),  (46.7207)), (* C2   *)
      (   (36.3908),   (6.1224),  (46.6053)), (* C4   *)
      (   (36.9819),   (5.2334),  (47.4697)), (* C5   *)
      (   (36.1786),   (4.1985),  (48.0035)), (* C6 *)
      (A (
      (   (36.6103),   (3.2749),  (48.8452)), (* N6   *)
      (   (38.3236),   (5.5522),  (47.6595)), (* N7   *)
      (   (37.3887),   (7.0024),  (46.2437)), (* N9   *)
      (   (38.5055),   (6.6096),  (46.9057)), (* C8   *)
      (   (33.3553),   (5.0152),  (46.4771)), (* H2   *)
      (   (37.5730),   (3.2804),  (49.1507)), (* H61  *)
      (   (35.9775),   (2.5638),  (49.1828)), (* H62  *)
      (   (39.5461),   (6.9184),  (47.0041))) (* H8   *)
      )
    )

val rA08
  = (
      (     (0.1084),  (~0.0895),  (~0.9901),  (* dgf-base-tfo *)
            (0.9789),  (~0.1638),   (0.1220),
           (~0.1731),  (~0.9824),   (0.0698),
           (~2.9039),  (47.2655),  (33.0094)),
      (     (0.7529),   (0.1548),   (0.6397),  (* P-O3'-275-tfo *)
            (0.2952),  (~0.9481),  (~0.1180),
            (0.5882),   (0.2777),  (~0.7595),
          (~58.8919), (~11.3095),   (6.0866)),
      (    (~0.0239),   (0.9667),  (~0.2546),  (* P-O3'-180-tfo *)
            (0.9731),  (~0.0359),  (~0.2275),
           (~0.2290),  (~0.2532),  (~0.9399),
            (3.5401), (~29.7913),  (52.2796)),
      (    (~0.8912),  (~0.4531),   (0.0242),  (* P-O3'-60-tfo *)
           (~0.1183),   (0.1805),  (~0.9764),
            (0.4380),  (~0.8730),  (~0.2145),
           (19.9023),  (54.8054),  (15.2799)),
      (   (41.8210),   (8.3880),  (43.5890)), (* P    *)
      (   (42.5400),   (8.0450),  (44.8330)), (* O1P  *)
      (   (42.2470),   (9.6920),  (42.9910)), (* O2P  *)
      (   (40.2550),   (8.2030),  (43.7340)), (* O5'  *)
      (   (39.4850),   (8.9301),  (44.6977)), (* C5'  *)
      (   (39.0638),   (9.8199),  (44.2296)), (* H5'  *)
      (   (40.0757),   (9.0713),  (45.6029)), (* H5'' *)
      (   (38.3102),   (8.0414),  (45.0789)), (* C4'  *)
      (   (37.7842),   (8.4637),  (45.9351)), (* H4'  *)
      (   (37.4200),   (7.9453),  (43.9769)), (* O4'  *)
      (   (37.2249),   (6.5609),  (43.6273)), (* C1'  *)
      (   (36.3360),   (6.2168),  (44.1561)), (* H1'  *)
      (   (38.4347),   (5.8414),  (44.1590)), (* C2'  *)
      (   (39.2688),   (5.9974),  (43.4749)), (* H2'' *)
      (   (38.2344),   (4.4907),  (44.4348)), (* O2'  *)
      (   (37.6374),   (4.0386),  (43.8341)), (* H2'  *)
      (   (38.6926),   (6.6079),  (45.4637)), (* C3'  *)
      (   (39.7585),   (6.5640),  (45.6877)), (* H3'  *)
      (   (37.8238),   (6.0705),  (46.4723)), (* O3'  *)
      (   (33.9162),   (6.2598),  (39.7758)), (* N1   *)
      (   (34.6709),   (6.5759),  (42.0215)), (* N3   *)
      (   (33.7257),   (6.5186),  (41.0858)), (* C2   *)
      (   (35.8935),   (6.3324),  (41.5018)), (* C4   *)
      (   (36.2105),   (6.0601),  (40.1932)), (* C5   *)
      (   (35.1538),   (6.0151),  (39.2537)), (* C6 *)
      (A (
      (   (35.3088),   (5.7642),  (37.9649)), (* N6   *)
      (   (37.5818),   (5.8677),  (40.0507)), (* N7   *)
      (   (37.0932),   (6.3197),  (42.1810)), (* N9   *)
      (   (38.0509),   (6.0354),  (41.2635)), (* C8   *)
      (   (32.6830),   (6.6898),  (41.3532)), (* H2   *)
      (   (36.2305),   (5.5855),  (37.5925)), (* H61  *)
      (   (34.5056),   (5.7512),  (37.3528)), (* H62  *)
      (   (39.1318),   (5.8993),  (41.2285))) (* H8   *)
      )
    )

val rA09
  = (
      (     (0.8467),   (0.4166),  (~0.3311),  (* dgf-base-tfo *)
           (~0.3962),   (0.9089),   (0.1303),
            (0.3552),   (0.0209),   (0.9346),
          (~42.7319), (~26.6223), (~29.8163)),
      (     (0.7529),   (0.1548),   (0.6397),  (* P-O3'-275-tfo *)
            (0.2952),  (~0.9481),  (~0.1180),
            (0.5882),   (0.2777),  (~0.7595),
          (~58.8919), (~11.3095),   (6.0866)),
      (    (~0.0239),   (0.9667),  (~0.2546),  (* P-O3'-180-tfo *)
            (0.9731),  (~0.0359),  (~0.2275),
           (~0.2290),  (~0.2532),  (~0.9399),
            (3.5401), (~29.7913),  (52.2796)),
      (    (~0.8912),  (~0.4531),   (0.0242),  (* P-O3'-60-tfo *)
           (~0.1183),   (0.1805),  (~0.9764),
            (0.4380),  (~0.8730),  (~0.2145),
           (19.9023),  (54.8054),  (15.2799)),
      (   (41.8210),   (8.3880),  (43.5890)), (* P    *)
      (   (42.5400),   (8.0450),  (44.8330)), (* O1P  *)
      (   (42.2470),   (9.6920),  (42.9910)), (* O2P  *)
      (   (40.2550),   (8.2030),  (43.7340)), (* O5'  *)
      (   (39.3505),   (8.4697),  (42.6565)), (* C5'  *)
      (   (39.1377),   (7.5433),  (42.1230)), (* H5'  *)
      (   (39.7203),   (9.3119),  (42.0717)), (* H5'' *)
      (   (38.0405),   (8.9195),  (43.2869)), (* C4'  *)
      (   (37.6479),   (8.1347),  (43.9335)), (* H4'  *)
      (   (38.2691),  (10.0933),  (44.0524)), (* O4'  *)
      (   (37.3999),  (11.1488),  (43.5973)), (* C1'  *)
      (   (36.5061),  (11.1221),  (44.2206)), (* H1'  *)
      (   (37.0364),  (10.7838),  (42.1836)), (* C2'  *)
      (   (37.8636),  (11.0489),  (41.5252)), (* H2'' *)
      (   (35.8275),  (11.3133),  (41.7379)), (* O2'  *)
      (   (35.6214),  (12.1896),  (42.0714)), (* H2'  *)
      (   (36.9316),   (9.2556),  (42.2837)), (* C3'  *)
      (   (37.1778),   (8.8260),  (41.3127)), (* H3'  *)
      (   (35.6285),   (8.9334),  (42.7926)), (* O3'  *)
      (   (38.1482),  (15.2833),  (46.4641)), (* N1   *)
      (   (37.3641),  (13.0968),  (45.9007)), (* N3   *)
      (   (37.5032),  (14.1288),  (46.7300)), (* C2   *)
      (   (37.9570),  (13.3377),  (44.7113)), (* C4   *)
      (   (38.6397),  (14.4660),  (44.3267)), (* C5   *)
      (   (38.7473),  (15.5229),  (45.2609)), (* C6 *)
      (A (
      (   (39.3720),  (16.6649),  (45.0297)), (* N6   *)
      (   (39.1079),  (14.3351),  (43.0223)), (* N7   *)
      (   (38.0132),  (12.4868),  (43.6280)), (* N9   *)
      (   (38.7058),  (13.1402),  (42.6620)), (* C8   *)
      (   (37.0731),  (14.0857),  (47.7306)), (* H2   *)
      (   (39.8113),  (16.8281),  (44.1350)), (* H61  *)
      (   (39.4100),  (17.3741),  (45.7478)), (* H62  *)
      (   (39.0412),  (12.9660),  (41.6397))) (* H8   *)
      )
    )

val rA10
  = (
      (     (0.7063),   (0.6317),  (~0.3196),  (* dgf-base-tfo *)
           (~0.0403),  (~0.4149),  (~0.9090),
           (~0.7068),   (0.6549),  (~0.2676),
            (6.4402), (~52.1496),  (30.8246)),
      (     (0.7529),   (0.1548),   (0.6397),  (* P-O3'-275-tfo *)
            (0.2952),  (~0.9481),  (~0.1180),
            (0.5882),   (0.2777),  (~0.7595),
          (~58.8919), (~11.3095),   (6.0866)),
      (    (~0.0239),   (0.9667),  (~0.2546),  (* P-O3'-180-tfo *)
            (0.9731),  (~0.0359),  (~0.2275),
           (~0.2290),  (~0.2532),  (~0.9399),
            (3.5401), (~29.7913),  (52.2796)),
      (    (~0.8912),  (~0.4531),   (0.0242),  (* P-O3'-60-tfo *)
           (~0.1183),   (0.1805),  (~0.9764),
            (0.4380),  (~0.8730),  (~0.2145),
           (19.9023),  (54.8054),  (15.2799)),
      (   (41.8210),   (8.3880),  (43.5890)), (* P    *)
      (   (42.5400),   (8.0450),  (44.8330)), (* O1P  *)
      (   (42.2470),   (9.6920),  (42.9910)), (* O2P  *)
      (   (40.2550),   (8.2030),  (43.7340)), (* O5'  *)
      (   (39.4850),   (8.9301),  (44.6977)), (* C5'  *)
      (   (39.0638),   (9.8199),  (44.2296)), (* H5'  *)
      (   (40.0757),   (9.0713),  (45.6029)), (* H5'' *)
      (   (38.3102),   (8.0414),  (45.0789)), (* C4'  *)
      (   (37.7099),   (7.8166),  (44.1973)), (* H4'  *)
      (   (38.8012),   (6.8321),  (45.6380)), (* O4'  *)
      (   (38.2431),   (6.6413),  (46.9529)), (* C1'  *)
      (   (37.3505),   (6.0262),  (46.8385)), (* H1'  *)
      (   (37.8484),   (8.0156),  (47.4214)), (* C2'  *)
      (   (38.7381),   (8.5406),  (47.7690)), (* H2'' *)
      (   (36.8286),   (8.0368),  (48.3701)), (* O2'  *)
      (   (36.8392),   (7.3063),  (48.9929)), (* H2'  *)
      (   (37.3576),   (8.6512),  (46.1132)), (* C3'  *)
      (   (37.5207),   (9.7275),  (46.1671)), (* H3'  *)
      (   (35.9985),   (8.2392),  (45.9032)), (* O3'  *)
      (   (39.9117),   (2.2278),  (48.8527)), (* N1   *)
      (   (38.6207),   (3.6941),  (47.4757)), (* N3   *)
      (   (38.9872),   (2.4888),  (47.9057)), (* C2   *)
      (   (39.2961),   (4.6720),  (48.1174)), (* C4   *)
      (   (40.2546),   (4.5307),  (49.0912)), (* C5   *)
      (   (40.5932),   (3.2189),  (49.4985)), (* C6 *)
      (A (
      (   (41.4938),   (2.9317),  (50.4229)), (* N6   *)
      (   (40.7195),   (5.7755),  (49.5060)), (* N7   *)
      (   (39.1730),   (6.0305),  (47.9170)), (* N9   *)
      (   (40.0413),   (6.6250),  (48.7728)), (* C8   *)
      (   (38.5257),   (1.5960),  (47.4838)), (* H2   *)
      (   (41.9907),   (3.6753),  (50.8921)), (* H61  *)
      (   (41.6848),   (1.9687),  (50.6599)), (* H62  *)
      (   (40.3571),   (7.6321),  (49.0452))) (* H8   *)
      )
    )

val rAs = [rA01,rA02,rA03,rA04,rA05,rA06,rA07,rA08,rA09,rA10]

val rC
  = (
      (    (~0.0359),  (~0.8071),   (0.5894),  (* dgf-base-tfo *)
           (~0.2669),   (0.5761),   (0.7726),
           (~0.9631),  (~0.1296),  (~0.2361),
            (0.1584),   (8.3434),   (0.5434)),
      (    (~0.8313),  (~0.4738),  (~0.2906),  (* P-O3'-275-tfo *)
            (0.0649),   (0.4366),  (~0.8973),
            (0.5521),  (~0.7648),  (~0.3322),
            (1.6833),   (6.8060),  (~7.0011)),
      (     (0.3445),  (~0.7630),   (0.5470),  (* P-O3'-180-tfo *)
           (~0.4628),  (~0.6450),  (~0.6082),
            (0.8168),  (~0.0436),  (~0.5753),
           (~6.8179),  (~3.9778),  (~5.9887)),
      (     (0.5855),   (0.7931),  (~0.1682),  (* P-O3'-60-tfo *)
            (0.8103),  (~0.5790),   (0.0906),
           (~0.0255),  (~0.1894),  (~0.9816),
            (6.1203),  (~7.1051),   (3.1984)),
      (    (2.6760),  (~8.4960),   (3.2880)), (* P    *)
      (    (1.4950),  (~7.6230),   (3.4770)), (* O1P  *)
      (    (2.9490),  (~9.4640),   (4.3740)), (* O2P  *)
      (    (3.9730),  (~7.5950),   (3.0340)), (* O5'  *)
      (    (5.2430),  (~8.2420),   (2.8260)), (* C5'  *)
      (    (5.1974),  (~8.8497),   (1.9223)), (* H5'  *)
      (    (5.5548),  (~8.7348),   (3.7469)), (* H5'' *)
      (    (6.3140),  (~7.2060),   (2.5510)), (* C4'  *)
      (    (7.2954),  (~7.6762),   (2.4898)), (* H4'  *)
      (    (6.0140),  (~6.5420),   (1.2890)), (* O4'  *)
      (    (6.4190),  (~5.1840),   (1.3620)), (* C1'  *)
      (    (7.1608),  (~5.0495),   (0.5747)), (* H1'  *)
      (    (7.0760),  (~4.9560),   (2.7270)), (* C2'  *)
      (    (6.7770),  (~3.9803),   (3.1099)), (* H2'' *)
      (    (8.4500),  (~5.1930),   (2.5810)), (* O2'  *)
      (    (8.8309),  (~4.8755),   (1.7590)), (* H2'  *)
      (    (6.4060),  (~6.0590),   (3.5580)), (* C3'  *)
      (    (5.4021),  (~5.7313),   (3.8281)), (* H3'  *)
      (    (7.1570),  (~6.4240),   (4.7070)), (* O3'  *)
      (    (5.2170),  (~4.3260),   (1.1690)), (* N1   *)
      (    (4.2960),  (~2.2560),   (0.6290)), (* N3   *)
      (    (5.4330),  (~3.0200),   (0.7990)), (* C2   *)
      (    (2.9930),  (~2.6780),   (0.7940)), (* C4   *)
      (    (2.8670),  (~4.0630),   (1.1830)), (* C5   *)
      (    (3.9570),  (~4.8300),   (1.3550)), (* C6 *)
      (C (
      (    (2.0187),  (~1.8047),   (0.5874)), (* N4   *)
      (    (6.5470),  (~2.5560),   (0.6290)), (* O2   *)
      (    (1.0684),  (~2.1236),   (0.7109)), (* H41  *)
      (    (2.2344),  (~0.8560),   (0.3162)), (* H42  *)
      (    (1.8797),  (~4.4972),   (1.3404)), (* H5   *)
      (    (3.8479),  (~5.8742),   (1.6480))) (* H6   *)
      )
    )

val rC01
  = (
      (    (~0.0137),  (~0.8012),   (0.5983),  (* dgf-base-tfo *)
           (~0.2523),   (0.5817),   (0.7733),
           (~0.9675),  (~0.1404),  (~0.2101),
            (0.2031),   (8.3874),   (0.4228)),
      (    (~0.8313),  (~0.4738),  (~0.2906),  (* P-O3'-275-tfo *)
            (0.0649),   (0.4366),  (~0.8973),
            (0.5521),  (~0.7648),  (~0.3322),
            (1.6833),   (6.8060),  (~7.0011)),
      (     (0.3445),  (~0.7630),   (0.5470),  (* P-O3'-180-tfo *)
           (~0.4628),  (~0.6450),  (~0.6082),
            (0.8168),  (~0.0436),  (~0.5753),
           (~6.8179),  (~3.9778),  (~5.9887)),
      (     (0.5855),   (0.7931),  (~0.1682),  (* P-O3'-60-tfo *)
            (0.8103),  (~0.5790),   (0.0906),
           (~0.0255),  (~0.1894),  (~0.9816),
            (6.1203),  (~7.1051),   (3.1984)),
      (    (2.6760),  (~8.4960),   (3.2880)), (* P    *)
      (    (1.4950),  (~7.6230),   (3.4770)), (* O1P  *)
      (    (2.9490),  (~9.4640),   (4.3740)), (* O2P  *)
      (    (3.9730),  (~7.5950),   (3.0340)), (* O5'  *)
      (    (5.2416),  (~8.2422),   (2.8181)), (* C5'  *)
      (    (5.2050),  (~8.8128),   (1.8901)), (* H5'  *)
      (    (5.5368),  (~8.7738),   (3.7227)), (* H5'' *)
      (    (6.3232),  (~7.2037),   (2.6002)), (* C4'  *)
      (    (7.3048),  (~7.6757),   (2.5577)), (* H4'  *)
      (    (6.0635),  (~6.5092),   (1.3456)), (* O4'  *)
      (    (6.4697),  (~5.1547),   (1.4629)), (* C1'  *)
      (    (7.2354),  (~5.0043),   (0.7018)), (* H1'  *)
      (    (7.0856),  (~4.9610),   (2.8521)), (* C2'  *)
      (    (6.7777),  (~3.9935),   (3.2487)), (* H2'' *)
      (    (8.4627),  (~5.1992),   (2.7423)), (* O2'  *)
      (    (8.8693),  (~4.8638),   (1.9399)), (* H2'  *)
      (    (6.3877),  (~6.0809),   (3.6362)), (* C3'  *)
      (    (5.3770),  (~5.7562),   (3.8834)), (* H3'  *)
      (    (7.1024),  (~6.4754),   (4.7985)), (* O3'  *)
      (    (5.2764),  (~4.2883),   (1.2538)), (* N1   *)
      (    (4.3777),  (~2.2062),   (0.7229)), (* N3   *)
      (    (5.5069),  (~2.9779),   (0.9088)), (* C2   *)
      (    (3.0693),  (~2.6246),   (0.8500)), (* C4   *)
      (    (2.9279),  (~4.0146),   (1.2149)), (* C5   *)
      (    (4.0101),  (~4.7892),   (1.4017)), (* C6 *)
      (C (
      (    (2.1040),  (~1.7437),   (0.6331)), (* N4   *)
      (    (6.6267),  (~2.5166),   (0.7728)), (* O2   *)
      (    (1.1496),  (~2.0600),   (0.7287)), (* H41  *)
      (    (2.3303),  (~0.7921),   (0.3815)), (* H42  *)
      (    (1.9353),  (~4.4465),   (1.3419)), (* H5   *)
      (    (3.8895),  (~5.8371),   (1.6762))) (* H6   *)
      )
    )

val rC02
  = (
      (     (0.5141),   (0.0246),   (0.8574),  (* dgf-base-tfo *)
           (~0.5547),  (~0.7529),   (0.3542),
            (0.6542),  (~0.6577),  (~0.3734),
           (~9.1111),  (~3.4598),  (~3.2939)),
      (    (~0.8313),  (~0.4738),  (~0.2906),  (* P-O3'-275-tfo *)
            (0.0649),   (0.4366),  (~0.8973),
            (0.5521),  (~0.7648),  (~0.3322),
            (1.6833),   (6.8060),  (~7.0011)),
      (     (0.3445),  (~0.7630),   (0.5470),  (* P-O3'-180-tfo *)
           (~0.4628),  (~0.6450),  (~0.6082),
            (0.8168),  (~0.0436),  (~0.5753),
           (~6.8179),  (~3.9778),  (~5.9887)),
      (     (0.5855),   (0.7931),  (~0.1682),  (* P-O3'-60-tfo *)
            (0.8103),  (~0.5790),   (0.0906),
           (~0.0255),  (~0.1894),  (~0.9816),
            (6.1203),  (~7.1051),   (3.1984)),
      (    (2.6760),  (~8.4960),   (3.2880)), (* P    *)
      (    (1.4950),  (~7.6230),   (3.4770)), (* O1P  *)
      (    (2.9490),  (~9.4640),   (4.3740)), (* O2P  *)
      (    (3.9730),  (~7.5950),   (3.0340)), (* O5'  *)
      (    (4.3825),  (~6.6585),   (4.0489)), (* C5'  *)
      (    (4.6841),  (~7.2019),   (4.9443)), (* H5'  *)
      (    (3.6189),  (~5.8889),   (4.1625)), (* H5'' *)
      (    (5.6255),  (~5.9175),   (3.5998)), (* C4'  *)
      (    (5.8732),  (~5.1228),   (4.3034)), (* H4'  *)
      (    (6.7337),  (~6.8605),   (3.5222)), (* O4'  *)
      (    (7.5932),  (~6.4923),   (2.4548)), (* C1'  *)
      (    (8.5661),  (~6.2983),   (2.9064)), (* H1'  *)
      (    (7.0527),  (~5.2012),   (1.8322)), (* C2'  *)
      (    (7.1627),  (~5.2525),   (0.7490)), (* H2'' *)
      (    (7.6666),  (~4.1249),   (2.4880)), (* O2'  *)
      (    (8.5944),  (~4.2543),   (2.6981)), (* H2'  *)
      (    (5.5661),  (~5.3029),   (2.2009)), (* C3'  *)
      (    (5.0841),  (~6.0018),   (1.5172)), (* H3'  *)
      (    (4.9062),  (~4.0452),   (2.2042)), (* O3'  *)
      (    (7.6298),  (~7.6136),   (1.4752)), (* N1   *)
      (    (8.6945),  (~8.7046),  (~0.2857)), (* N3   *)
      (    (8.6943),  (~7.6514),   (0.6066)), (* C2   *)
      (    (7.7426),  (~9.6987),  (~0.3801)), (* C4   *)
      (    (6.6642),  (~9.5742),   (0.5722)), (* C5   *)
      (    (6.6391),  (~8.5592),   (1.4526)), (* C6 *)
      (C (
      (    (7.9033), (~10.6371),  (~1.3010)), (* N4   *)
      (    (9.5840),  (~6.8186),   (0.6136)), (* O2   *)
      (    (7.2009), (~11.3604),  (~1.3619)), (* H41  *)
      (    (8.7058), (~10.6168),  (~1.9140)), (* H42  *)
      (    (5.8585), (~10.3083),   (0.5822)), (* H5   *)
      (    (5.8197),  (~8.4773),   (2.1667))) (* H6   *)
      )
    )

val rC03
  = (
      (    (~0.4993),   (0.0476),   (0.8651),  (* dgf-base-tfo *)
            (0.8078),  (~0.3353),   (0.4847),
            (0.3132),   (0.9409),   (0.1290),
            (6.2989),  (~5.2303),  (~3.8577)),
      (    (~0.8313),  (~0.4738),  (~0.2906),  (* P-O3'-275-tfo *)
            (0.0649),   (0.4366),  (~0.8973),
            (0.5521),  (~0.7648),  (~0.3322),
            (1.6833),   (6.8060),  (~7.0011)),
      (     (0.3445),  (~0.7630),   (0.5470),  (* P-O3'-180-tfo *)
           (~0.4628),  (~0.6450),  (~0.6082),
            (0.8168),  (~0.0436),  (~0.5753),
           (~6.8179),  (~3.9778),  (~5.9887)),
      (     (0.5855),   (0.7931),  (~0.1682),  (* P-O3'-60-tfo *)
            (0.8103),  (~0.5790),   (0.0906),
           (~0.0255),  (~0.1894),  (~0.9816),
            (6.1203),  (~7.1051),   (3.1984)),
      (    (2.6760),  (~8.4960),   (3.2880)), (* P    *)
      (    (1.4950),  (~7.6230),   (3.4770)), (* O1P  *)
      (    (2.9490),  (~9.4640),   (4.3740)), (* O2P  *)
      (    (3.9730),  (~7.5950),   (3.0340)), (* O5'  *)
      (    (3.9938),  (~6.7042),   (1.9023)), (* C5'  *)
      (    (3.2332),  (~5.9343),   (2.0319)), (* H5'  *)
      (    (3.9666),  (~7.2863),   (0.9812)), (* H5'' *)
      (    (5.3098),  (~5.9546),   (1.8564)), (* C4'  *)
      (    (5.3863),  (~5.3702),   (0.9395)), (* H4'  *)
      (    (5.3851),  (~5.0642),   (3.0076)), (* O4'  *)
      (    (6.7315),  (~4.9724),   (3.4462)), (* C1'  *)
      (    (7.0033),  (~3.9202),   (3.3619)), (* H1'  *)
      (    (7.5997),  (~5.8018),   (2.4948)), (* C2'  *)
      (    (8.3627),  (~6.3254),   (3.0707)), (* H2'' *)
      (    (8.0410),  (~4.9501),   (1.4724)), (* O2'  *)
      (    (8.2781),  (~4.0644),   (1.7570)), (* H2'  *)
      (    (6.5701),  (~6.8129),   (1.9714)), (* C3'  *)
      (    (6.4186),  (~7.5809),   (2.7299)), (* H3'  *)
      (    (6.9357),  (~7.3841),   (0.7235)), (* O3'  *)
      (    (6.8024),  (~5.4718),   (4.8475)), (* N1   *)
      (    (7.9218),  (~5.5700),   (6.8877)), (* N3   *)
      (    (7.8908),  (~5.0886),   (5.5944)), (* C2   *)
      (    (6.9789),  (~6.3827),   (7.4823)), (* C4   *)
      (    (5.8742),  (~6.7319),   (6.6202)), (* C5   *)
      (    (5.8182),  (~6.2769),   (5.3570)), (* C6 *)
      (C (
      (    (7.1702),  (~6.7511),   (8.7402)), (* N4   *)
      (    (8.7747),  (~4.3728),   (5.1568)), (* O2   *)
      (    (6.4741),  (~7.3461),   (9.1662)), (* H41  *)
      (    (7.9889),  (~6.4396),   (9.2429)), (* H42  *)
      (    (5.0736),  (~7.3713),   (6.9922)), (* H5   *)
      (    (4.9784),  (~6.5473),   (4.7170))) (* H6   *)
      )
    )

val rC04
  = (
      (    (~0.5669),  (~0.8012),   (0.1918),  (* dgf-base-tfo *)
           (~0.8129),   (0.5817),   (0.0273),
           (~0.1334),  (~0.1404),  (~0.9811),
           (~0.3279),   (8.3874),   (0.3355)),
      (    (~0.8313),  (~0.4738),  (~0.2906),  (* P-O3'-275-tfo *)
            (0.0649),   (0.4366),  (~0.8973),
            (0.5521),  (~0.7648),  (~0.3322),
            (1.6833),   (6.8060),  (~7.0011)),
      (     (0.3445),  (~0.7630),   (0.5470),  (* P-O3'-180-tfo *)
           (~0.4628),  (~0.6450),  (~0.6082),
            (0.8168),  (~0.0436),  (~0.5753),
           (~6.8179),  (~3.9778),  (~5.9887)),
      (     (0.5855),   (0.7931),  (~0.1682),  (* P-O3'-60-tfo *)
            (0.8103),  (~0.5790),   (0.0906),
           (~0.0255),  (~0.1894),  (~0.9816),
            (6.1203),  (~7.1051),   (3.1984)),
      (    (2.6760),  (~8.4960),   (3.2880)), (* P    *)
      (    (1.4950),  (~7.6230),   (3.4770)), (* O1P  *)
      (    (2.9490),  (~9.4640),   (4.3740)), (* O2P  *)
      (    (3.9730),  (~7.5950),   (3.0340)), (* O5'  *)
      (    (5.2416),  (~8.2422),   (2.8181)), (* C5'  *)
      (    (5.2050),  (~8.8128),   (1.8901)), (* H5'  *)
      (    (5.5368),  (~8.7738),   (3.7227)), (* H5'' *)
      (    (6.3232),  (~7.2037),   (2.6002)), (* C4'  *)
      (    (7.3048),  (~7.6757),   (2.5577)), (* H4'  *)
      (    (6.0635),  (~6.5092),   (1.3456)), (* O4'  *)
      (    (6.4697),  (~5.1547),   (1.4629)), (* C1'  *)
      (    (7.2354),  (~5.0043),   (0.7018)), (* H1'  *)
      (    (7.0856),  (~4.9610),   (2.8521)), (* C2'  *)
      (    (6.7777),  (~3.9935),   (3.2487)), (* H2'' *)
      (    (8.4627),  (~5.1992),   (2.7423)), (* O2'  *)
      (    (8.8693),  (~4.8638),   (1.9399)), (* H2'  *)
      (    (6.3877),  (~6.0809),   (3.6362)), (* C3'  *)
      (    (5.3770),  (~5.7562),   (3.8834)), (* H3'  *)
      (    (7.1024),  (~6.4754),   (4.7985)), (* O3'  *)
      (    (5.2764),  (~4.2883),   (1.2538)), (* N1   *)
      (    (3.8961),  (~3.0896),  (~0.1893)), (* N3   *)
      (    (5.0095),  (~3.8907),  (~0.0346)), (* C2   *)
      (    (3.0480),  (~2.6632),   (0.8116)), (* C4   *)
      (    (3.4093),  (~3.1310),   (2.1292)), (* C5   *)
      (    (4.4878),  (~3.9124),   (2.3088)), (* C6 *)
      (C (
      (    (2.0216),  (~1.8941),   (0.4804)), (* N4   *)
      (    (5.7005),  (~4.2164),  (~0.9842)), (* O2   *)
      (    (1.4067),  (~1.5873),   (1.2205)), (* H41  *)
      (    (1.8721),  (~1.6319),  (~0.4835)), (* H42  *)
      (    (2.8048),  (~2.8507),   (2.9918)), (* H5   *)
      (    (4.7491),  (~4.2593),   (3.3085))) (* H6   *)
      )
    )

val rC05
  = (
      (    (~0.6298),   (0.0246),   (0.7763),  (* dgf-base-tfo *)
           (~0.5226),  (~0.7529),  (~0.4001),
            (0.5746),  (~0.6577),   (0.4870),
           (~0.0208),  (~3.4598),  (~9.6882)),
      (    (~0.8313),  (~0.4738),  (~0.2906),  (* P-O3'-275-tfo *)
            (0.0649),   (0.4366),  (~0.8973),
            (0.5521),  (~0.7648),  (~0.3322),
            (1.6833),   (6.8060),  (~7.0011)),
      (     (0.3445),  (~0.7630),   (0.5470),  (* P-O3'-180-tfo *)
           (~0.4628),  (~0.6450),  (~0.6082),
            (0.8168),  (~0.0436),  (~0.5753),
           (~6.8179),  (~3.9778),  (~5.9887)),
      (     (0.5855),   (0.7931),  (~0.1682),  (* P-O3'-60-tfo *)
            (0.8103),  (~0.5790),   (0.0906),
           (~0.0255),  (~0.1894),  (~0.9816),
            (6.1203),  (~7.1051),   (3.1984)),
      (    (2.6760),  (~8.4960),   (3.2880)), (* P    *)
      (    (1.4950),  (~7.6230),   (3.4770)), (* O1P  *)
      (    (2.9490),  (~9.4640),   (4.3740)), (* O2P  *)
      (    (3.9730),  (~7.5950),   (3.0340)), (* O5'  *)
      (    (4.3825),  (~6.6585),   (4.0489)), (* C5'  *)
      (    (4.6841),  (~7.2019),   (4.9443)), (* H5'  *)
      (    (3.6189),  (~5.8889),   (4.1625)), (* H5'' *)
      (    (5.6255),  (~5.9175),   (3.5998)), (* C4'  *)
      (    (5.8732),  (~5.1228),   (4.3034)), (* H4'  *)
      (    (6.7337),  (~6.8605),   (3.5222)), (* O4'  *)
      (    (7.5932),  (~6.4923),   (2.4548)), (* C1'  *)
      (    (8.5661),  (~6.2983),   (2.9064)), (* H1'  *)
      (    (7.0527),  (~5.2012),   (1.8322)), (* C2'  *)
      (    (7.1627),  (~5.2525),   (0.7490)), (* H2'' *)
      (    (7.6666),  (~4.1249),   (2.4880)), (* O2'  *)
      (    (8.5944),  (~4.2543),   (2.6981)), (* H2'  *)
      (    (5.5661),  (~5.3029),   (2.2009)), (* C3'  *)
      (    (5.0841),  (~6.0018),   (1.5172)), (* H3'  *)
      (    (4.9062),  (~4.0452),   (2.2042)), (* O3'  *)
      (    (7.6298),  (~7.6136),   (1.4752)), (* N1   *)
      (    (8.5977),  (~9.5977),   (0.7329)), (* N3   *)
      (    (8.5951),  (~8.5745),   (1.6594)), (* C2   *)
      (    (7.7372),  (~9.7371),  (~0.3364)), (* C4   *)
      (    (6.7596),  (~8.6801),  (~0.4476)), (* C5   *)
      (    (6.7338),  (~7.6721),   (0.4408)), (* C6 *)
      (C (
      (    (7.8849), (~10.7881),  (~1.1289)), (* N4   *)
      (    (9.3993),  (~8.5377),   (2.5743)), (* O2   *)
      (    (7.2499), (~10.8809),  (~1.9088)), (* H41  *)
      (    (8.6122), (~11.4649),  (~0.9468)), (* H42  *)
      (    (6.0317),  (~8.6941),  (~1.2588)), (* H5   *)
      (    (5.9901),  (~6.8809),   (0.3459))) (* H6   *)
      )
    )

val rC06
  = (
      (    (~0.9837),   (0.0476),  (~0.1733),  (* dgf-base-tfo *)
           (~0.1792),  (~0.3353),   (0.9249),
           (~0.0141),   (0.9409),   (0.3384),
            (5.7793),  (~5.2303),   (4.5997)),
      (    (~0.8313),  (~0.4738),  (~0.2906),  (* P-O3'-275-tfo *)
            (0.0649),   (0.4366),  (~0.8973),
            (0.5521),  (~0.7648),  (~0.3322),
            (1.6833),   (6.8060),  (~7.0011)),
      (     (0.3445),  (~0.7630),   (0.5470),  (* P-O3'-180-tfo *)
           (~0.4628),  (~0.6450),  (~0.6082),
            (0.8168),  (~0.0436),  (~0.5753),
           (~6.8179),  (~3.9778),  (~5.9887)),
      (     (0.5855),   (0.7931),  (~0.1682),  (* P-O3'-60-tfo *)
            (0.8103),  (~0.5790),   (0.0906),
           (~0.0255),  (~0.1894),  (~0.9816),
            (6.1203),  (~7.1051),   (3.1984)),
      (    (2.6760),  (~8.4960),   (3.2880)), (* P    *)
      (    (1.4950),  (~7.6230),   (3.4770)), (* O1P  *)
      (    (2.9490),  (~9.4640),   (4.3740)), (* O2P  *)
      (    (3.9730),  (~7.5950),   (3.0340)), (* O5'  *)
      (    (3.9938),  (~6.7042),   (1.9023)), (* C5'  *)
      (    (3.2332),  (~5.9343),   (2.0319)), (* H5'  *)
      (    (3.9666),  (~7.2863),   (0.9812)), (* H5'' *)
      (    (5.3098),  (~5.9546),   (1.8564)), (* C4'  *)
      (    (5.3863),  (~5.3702),   (0.9395)), (* H4'  *)
      (    (5.3851),  (~5.0642),   (3.0076)), (* O4'  *)
      (    (6.7315),  (~4.9724),   (3.4462)), (* C1'  *)
      (    (7.0033),  (~3.9202),   (3.3619)), (* H1'  *)
      (    (7.5997),  (~5.8018),   (2.4948)), (* C2'  *)
      (    (8.3627),  (~6.3254),   (3.0707)), (* H2'' *)
      (    (8.0410),  (~4.9501),   (1.4724)), (* O2'  *)
      (    (8.2781),  (~4.0644),   (1.7570)), (* H2'  *)
      (    (6.5701),  (~6.8129),   (1.9714)), (* C3'  *)
      (    (6.4186),  (~7.5809),   (2.7299)), (* H3'  *)
      (    (6.9357),  (~7.3841),   (0.7235)), (* O3'  *)
      (    (6.8024),  (~5.4718),   (4.8475)), (* N1   *)
      (    (6.6920),  (~5.0495),   (7.1354)), (* N3   *)
      (    (6.6201),  (~4.5500),   (5.8506)), (* C2   *)
      (    (6.9254),  (~6.3614),   (7.4926)), (* C4   *)
      (    (7.1046),  (~7.2543),   (6.3718)), (* C5   *)
      (    (7.0391),  (~6.7951),   (5.1106)), (* C6 *)
      (C (
      (    (6.9614),  (~6.6648),   (8.7815)), (* N4   *)
      (    (6.4083),  (~3.3696),   (5.6340)), (* O2   *)
      (    (7.1329),  (~7.6280),   (9.0324)), (* H41  *)
      (    (6.8204),  (~5.9469),   (9.4777)), (* H42  *)
      (    (7.2954),  (~8.3135),   (6.5440)), (* H5   *)
      (    (7.1753),  (~7.4798),   (4.2735))) (* H6   *)
      )
    )

val rC07
  = (
      (     (0.0033),   (0.2720),  (~0.9623),  (* dgf-base-tfo *)
            (0.3013),  (~0.9179),  (~0.2584),
           (~0.9535),  (~0.2891),  (~0.0850),
           (43.0403),  (13.7233),  (34.5710)),
      (     (0.9187),   (0.2887),   (0.2694),  (* P-O3'-275-tfo *)
            (0.0302),  (~0.7316),   (0.6811),
            (0.3938),  (~0.6176),  (~0.6808),
          (~48.4330),  (26.3254),  (13.6383)),
      (    (~0.1504),   (0.7744),  (~0.6145),  (* P-O3'-180-tfo *)
            (0.7581),   (0.4893),   (0.4311),
            (0.6345),  (~0.4010),  (~0.6607),
          (~31.9784), (~13.4285),  (44.9650)),
      (    (~0.6236),  (~0.7810),  (~0.0337),  (* P-O3'-60-tfo *)
           (~0.6890),   (0.5694),  (~0.4484),
            (0.3694),  (~0.2564),  (~0.8932),
           (12.1105),  (30.8774),  (46.0946)),
      (   (33.3400),  (11.0980),  (46.1750)), (* P    *)
      (   (34.5130),  (10.2320),  (46.4660)), (* O1P  *)
      (   (33.4130),  (12.3960),  (46.9340)), (* O2P  *)
      (   (31.9810),  (10.3390),  (46.4820)), (* O5'  *)
      (   (30.8152),  (11.1619),  (46.2003)), (* C5'  *)
      (   (30.4519),  (10.9454),  (45.1957)), (* H5'  *)
      (   (31.0379),  (12.2016),  (46.4400)), (* H5'' *)
      (   (29.7081),  (10.7448),  (47.1428)), (* C4'  *)
      (   (28.8710),  (11.4416),  (47.0982)), (* H4'  *)
      (   (29.2550),   (9.4394),  (46.8162)), (* O4'  *)
      (   (29.3907),   (8.5625),  (47.9460)), (* C1'  *)
      (   (28.4416),   (8.5669),  (48.4819)), (* H1'  *)
      (   (30.4468),   (9.2031),  (48.7952)), (* C2'  *)
      (   (31.4222),   (8.9651),  (48.3709)), (* H2'' *)
      (   (30.3701),   (8.9157),  (50.1624)), (* O2'  *)
      (   (30.0652),   (8.0304),  (50.3740)), (* H2'  *)
      (   (30.1622),  (10.6879),  (48.6120)), (* C3'  *)
      (   (31.0952),  (11.2399),  (48.7254)), (* H3'  *)
      (   (29.1076),  (11.1535),  (49.4702)), (* O3'  *)
      (   (29.7883),   (7.2209),  (47.5235)), (* N1   *)
      (   (29.1825),   (5.0438),  (46.8275)), (* N3   *)
      (   (28.8008),   (6.2912),  (47.2263)), (* C2   *)
      (   (30.4888),   (4.6890),  (46.7186)), (* C4   *)
      (   (31.5034),   (5.6405),  (47.0249)), (* C5   *)
      (   (31.1091),   (6.8691),  (47.4156)), (* C6 *)
      (C (
      (   (30.8109),   (3.4584),  (46.3336)), (* N4   *)
      (   (27.6171),   (6.5989),  (47.3189)), (* O2   *)
      (   (31.7923),   (3.2301),  (46.2638)), (* H41  *)
      (   (30.0880),   (2.7857),  (46.1215)), (* H42  *)
      (   (32.5542),   (5.3634),  (46.9395)), (* H5   *)
      (   (31.8523),   (7.6279),  (47.6603))) (* H6   *)
      )
    )

val rC08
  = (
      (     (0.0797),  (~0.6026),  (~0.7941),  (* dgf-base-tfo *)
            (0.7939),   (0.5201),  (~0.3150),
            (0.6028),  (~0.6054),   (0.5198),
          (~36.8341),  (41.5293),   (1.6628)),
      (     (0.9187),   (0.2887),   (0.2694),  (* P-O3'-275-tfo *)
            (0.0302),  (~0.7316),   (0.6811),
            (0.3938),  (~0.6176),  (~0.6808),
          (~48.4330),  (26.3254),  (13.6383)),
      (    (~0.1504),   (0.7744),  (~0.6145),  (* P-O3'-180-tfo *)
            (0.7581),   (0.4893),   (0.4311),
            (0.6345),  (~0.4010),  (~0.6607),
          (~31.9784), (~13.4285),  (44.9650)),
      (    (~0.6236),  (~0.7810),  (~0.0337),  (* P-O3'-60-tfo *)
           (~0.6890),   (0.5694),  (~0.4484),
            (0.3694),  (~0.2564),  (~0.8932),
           (12.1105),  (30.8774),  (46.0946)),
      (   (33.3400),  (11.0980),  (46.1750)), (* P    *)
      (   (34.5130),  (10.2320),  (46.4660)), (* O1P  *)
      (   (33.4130),  (12.3960),  (46.9340)), (* O2P  *)
      (   (31.9810),  (10.3390),  (46.4820)), (* O5'  *)
      (   (31.8779),   (9.9369),  (47.8760)), (* C5'  *)
      (   (31.3239),  (10.6931),  (48.4322)), (* H5'  *)
      (   (32.8647),   (9.6624),  (48.2489)), (* H5'' *)
      (   (31.0429),   (8.6773),  (47.9401)), (* C4'  *)
      (   (31.0779),   (8.2331),  (48.9349)), (* H4'  *)
      (   (29.6956),   (8.9669),  (47.5983)), (* O4'  *)
      (   (29.2784),   (8.1700),  (46.4782)), (* C1'  *)
      (   (28.8006),   (7.2731),  (46.8722)), (* H1'  *)
      (   (30.5544),   (7.7940),  (45.7875)), (* C2'  *)
      (   (30.8837),   (8.6410),  (45.1856)), (* H2'' *)
      (   (30.5100),   (6.6007),  (45.0582)), (* O2'  *)
      (   (29.6694),   (6.4168),  (44.6326)), (* H2'  *)
      (   (31.5146),   (7.5954),  (46.9527)), (* C3'  *)
      (   (32.5255),   (7.8261),  (46.6166)), (* H3'  *)
      (   (31.3876),   (6.2951),  (47.5516)), (* O3'  *)
      (   (28.3976),   (8.9302),  (45.5933)), (* N1   *)
      (   (26.2155),   (9.6135),  (44.9910)), (* N3   *)
      (   (27.0281),   (8.8961),  (45.8192)), (* C2   *)
      (   (26.7044),  (10.3489),  (43.9595)), (* C4   *)
      (   (28.1088),  (10.3837),  (43.7247)), (* C5   *)
      (   (28.8978),   (9.6708),  (44.5535)), (* C6 *)
      (C (
      (   (25.8715),  (11.0249),  (43.1749)), (* N4   *)
      (   (26.5733),   (8.2371),  (46.7484)), (* O2   *)
      (   (26.2707),  (11.5609),  (42.4177)), (* H41  *)
      (   (24.8760),  (10.9939),  (43.3427)), (* H42  *)
      (   (28.5089),  (10.9722),  (42.8990)), (* H5   *)
      (   (29.9782),   (9.6687),  (44.4097))) (* H6   *)
      )
    )

val rC09
  = (
      (     (0.8727),   (0.4760),  (~0.1091),  (* dgf-base-tfo *)
           (~0.4188),   (0.6148),  (~0.6682),
           (~0.2510),   (0.6289),   (0.7359),
           (~8.1687), (~52.0761), (~25.0726)),
      (     (0.9187),   (0.2887),   (0.2694),  (* P-O3'-275-tfo *)
            (0.0302),  (~0.7316),   (0.6811),
            (0.3938),  (~0.6176),  (~0.6808),
          (~48.4330),  (26.3254),  (13.6383)),
      (    (~0.1504),   (0.7744),  (~0.6145),  (* P-O3'-180-tfo *)
            (0.7581),   (0.4893),   (0.4311),
            (0.6345),  (~0.4010),  (~0.6607),
          (~31.9784), (~13.4285),  (44.9650)),
      (    (~0.6236),  (~0.7810),  (~0.0337),  (* P-O3'-60-tfo *)
           (~0.6890),   (0.5694),  (~0.4484),
            (0.3694),  (~0.2564),  (~0.8932),
           (12.1105),  (30.8774),  (46.0946)),
      (   (33.3400),  (11.0980),  (46.1750)), (* P    *)
      (   (34.5130),  (10.2320),  (46.4660)), (* O1P  *)
      (   (33.4130),  (12.3960),  (46.9340)), (* O2P  *)
      (   (31.9810),  (10.3390),  (46.4820)), (* O5'  *)
      (   (30.8152),  (11.1619),  (46.2003)), (* C5'  *)
      (   (30.4519),  (10.9454),  (45.1957)), (* H5'  *)
      (   (31.0379),  (12.2016),  (46.4400)), (* H5'' *)
      (   (29.7081),  (10.7448),  (47.1428)), (* C4'  *)
      (   (29.4506),   (9.6945),  (47.0059)), (* H4'  *)
      (   (30.1045),  (10.9634),  (48.4885)), (* O4'  *)
      (   (29.1794),  (11.8418),  (49.1490)), (* C1'  *)
      (   (28.4388),  (11.2210),  (49.6533)), (* H1'  *)
      (   (28.5211),  (12.6008),  (48.0367)), (* C2'  *)
      (   (29.1947),  (13.3949),  (47.7147)), (* H2'' *)
      (   (27.2316),  (13.0683),  (48.3134)), (* O2'  *)
      (   (27.0851),  (13.3391),  (49.2227)), (* H2'  *)
      (   (28.4131),  (11.5507),  (46.9391)), (* C3'  *)
      (   (28.4451),  (12.0512),  (45.9713)), (* H3'  *)
      (   (27.2707),  (10.6955),  (47.1097)), (* O3'  *)
      (   (29.8751),  (12.7405),  (50.0682)), (* N1   *)
      (   (30.7172),  (13.1841),  (52.2328)), (* N3   *)
      (   (30.0617),  (12.3404),  (51.3847)), (* C2   *)
      (   (31.1834),  (14.3941),  (51.8297)), (* C4   *)
      (   (30.9913),  (14.8074),  (50.4803)), (* C5   *)
      (   (30.3434),  (13.9610),  (49.6548)), (* C6 *)
      (C (
      (   (31.8090),  (15.1847),  (52.6957)), (* N4   *)
      (   (29.6470),  (11.2494),  (51.7616)), (* O2   *)
      (   (32.1422),  (16.0774),  (52.3606)), (* H41  *)
      (   (31.9392),  (14.8893),  (53.6527)), (* H42  *)
      (   (31.3632),  (15.7771),  (50.1491)), (* H5   *)
      (   (30.1742),  (14.2374),  (48.6141))) (* H6   *)
      )
    )

val rC10
  = (
      (     (0.1549),   (0.8710),  (~0.4663),  (* dgf-base-tfo *)
            (0.6768),  (~0.4374),  (~0.5921),
           (~0.7197),  (~0.2239),  (~0.6572),
           (25.2447), (~14.1920),  (50.3201)),
      (     (0.9187),   (0.2887),   (0.2694),  (* P-O3'-275-tfo *)
            (0.0302),  (~0.7316),   (0.6811),
            (0.3938),  (~0.6176),  (~0.6808),
          (~48.4330),  (26.3254),  (13.6383)),
      (    (~0.1504),   (0.7744),  (~0.6145),  (* P-O3'-180-tfo *)
            (0.7581),   (0.4893),   (0.4311),
            (0.6345),  (~0.4010),  (~0.6607),
          (~31.9784), (~13.4285),  (44.9650)),
      (    (~0.6236),  (~0.7810),  (~0.0337),  (* P-O3'-60-tfo *)
           (~0.6890),   (0.5694),  (~0.4484),
            (0.3694),  (~0.2564),  (~0.8932),
           (12.1105),  (30.8774),  (46.0946)),
      (   (33.3400),  (11.0980),  (46.1750)), (* P    *)
      (   (34.5130),  (10.2320),  (46.4660)), (* O1P  *)
      (   (33.4130),  (12.3960),  (46.9340)), (* O2P  *)
      (   (31.9810),  (10.3390),  (46.4820)), (* O5'  *)
      (   (31.8779),   (9.9369),  (47.8760)), (* C5'  *)
      (   (31.3239),  (10.6931),  (48.4322)), (* H5'  *)
      (   (32.8647),   (9.6624),  (48.2489)), (* H5'' *)
      (   (31.0429),   (8.6773),  (47.9401)), (* C4'  *)
      (   (30.0440),   (8.8473),  (47.5383)), (* H4'  *)
      (   (31.6749),   (7.6351),  (47.2119)), (* O4'  *)
      (   (31.9159),   (6.5022),  (48.0616)), (* C1'  *)
      (   (31.0691),   (5.8243),  (47.9544)), (* H1'  *)
      (   (31.9300),   (7.0685),  (49.4493)), (* C2'  *)
      (   (32.9024),   (7.5288),  (49.6245)), (* H2'' *)
      (   (31.5672),   (6.1750),  (50.4632)), (* O2'  *)
      (   (31.8416),   (5.2663),  (50.3200)), (* H2'  *)
      (   (30.8618),   (8.1514),  (49.3749)), (* C3'  *)
      (   (31.1122),   (8.9396),  (50.0850)), (* H3'  *)
      (   (29.5351),   (7.6245),  (49.5409)), (* O3'  *)
      (   (33.1890),   (5.8629),  (47.7343)), (* N1   *)
      (   (34.4004),   (4.2636),  (46.4828)), (* N3   *)
      (   (33.2062),   (4.8497),  (46.7851)), (* C2   *)
      (   (35.5600),   (4.6374),  (47.0822)), (* C4   *)
      (   (35.5444),   (5.6751),  (48.0577)), (* C5   *)
      (   (34.3565),   (6.2450),  (48.3432)), (* C6 *)
      (C (
      (   (36.6977),   (4.0305),  (46.7598)), (* N4   *)
      (   (32.1661),   (4.5034),  (46.2348)), (* O2   *)
      (   (37.5405),   (4.3347),  (47.2259)), (* H41  *)
      (   (36.7033),   (3.2923),  (46.0706)), (* H42  *)
      (   (36.4713),   (5.9811),  (48.5428)), (* H5   *)
      (   (34.2986),   (7.0426),  (49.0839))) (* H6   *)
      )
    )

val rCs = [rC01,rC02,rC03,rC04,rC05,rC06,rC07,rC08,rC09,rC10]

val rG
  = (
      (    (~0.0018),  (~0.8207),   (0.5714),  (* dgf-base-tfo *)
            (0.2679),  (~0.5509),  (~0.7904),
            (0.9634),   (0.1517),   (0.2209),
            (0.0073),   (8.4030),   (0.6232)),
      (    (~0.8143),  (~0.5091),  (~0.2788),  (* P-O3'-275-tfo *)
           (~0.0433),  (~0.4257),   (0.9038),
           (~0.5788),   (0.7480),   (0.3246),
            (1.5227),   (6.9114),  (~7.0765)),
      (     (0.3822),  (~0.7477),   (0.5430),  (* P-O3'-180-tfo *)
            (0.4552),   (0.6637),   (0.5935),
           (~0.8042),   (0.0203),   (0.5941),
           (~6.9472),  (~4.1186),  (~5.9108)),
      (     (0.5640),   (0.8007),  (~0.2022),  (* P-O3'-60-tfo *)
           (~0.8247),   (0.5587),  (~0.0878),
            (0.0426),   (0.2162),   (0.9754),
            (6.2694),  (~7.0540),   (3.3316)),
      (    (2.8930),   (8.5380),  (~3.3280)), (* P    *)
      (    (1.6980),   (7.6960),  (~3.5570)), (* O1P  *)
      (    (3.2260),   (9.5010),  (~4.4020)), (* O2P  *)
      (    (4.1590),   (7.6040),  (~3.0340)), (* O5'  *)
      (    (5.4550),   (8.2120),  (~2.8810)), (* C5'  *)
      (    (5.4546),   (8.8508),  (~1.9978)), (* H5'  *)
      (    (5.7588),   (8.6625),  (~3.8259)), (* H5'' *)
      (    (6.4970),   (7.1480),  (~2.5980)), (* C4'  *)
      (    (7.4896),   (7.5919),  (~2.5214)), (* H4'  *)
      (    (6.1630),   (6.4860),  (~1.3440)), (* O4'  *)
      (    (6.5400),   (5.1200),  (~1.4190)), (* C1'  *)
      (    (7.2763),   (4.9681),  (~0.6297)), (* H1'  *)
      (    (7.1940),   (4.8830),  (~2.7770)), (* C2'  *)
      (    (6.8667),   (3.9183),  (~3.1647)), (* H2'' *)
      (    (8.5860),   (5.0910),  (~2.6140)), (* O2'  *)
      (    (8.9510),   (4.7626),  (~1.7890)), (* H2'  *)
      (    (6.5720),   (6.0040),  (~3.6090)), (* C3'  *)
      (    (5.5636),   (5.7066),  (~3.8966)), (* H3'  *)
      (    (7.3801),   (6.3562),  (~4.7350)), (* O3'  *)
      (    (4.7150),   (0.4910),  (~0.1360)), (* N1   *)
      (    (6.3490),   (2.1730),  (~0.6020)), (* N3   *)
      (    (5.9530),   (0.9650),  (~0.2670)), (* C2   *)
      (    (5.2900),   (2.9790),  (~0.8260)), (* C4   *)
      (    (3.9720),   (2.6390),  (~0.7330)), (* C5   *)
      (    (3.6770),   (1.3160),  (~0.3660)), (* C6 *)
      (G (
      (    (6.8426),   (0.0056),  (~0.0019)), (* N2   *)
      (    (3.1660),   (3.7290),  (~1.0360)), (* N7   *)
      (    (5.3170),   (4.2990),  (~1.1930)), (* N9   *)
      (    (4.0100),   (4.6780),  (~1.2990)), (* C8   *)
      (    (2.4280),   (0.8450),  (~0.2360)), (* O6   *)
      (    (4.6151),  (~0.4677),   (0.1305)), (* H1   *)
      (    (6.6463),  (~0.9463),   (0.2729)), (* H21  *)
      (    (7.8170),   (0.2642),  (~0.0640)), (* H22  *)
      (    (3.4421),   (5.5744),  (~1.5482))) (* H8   *)
      )
    )

val rG01
  = (
      (    (~0.0043),  (~0.8175),   (0.5759),  (* dgf-base-tfo *)
            (0.2617),  (~0.5567),  (~0.7884),
            (0.9651),   (0.1473),   (0.2164),
            (0.0359),   (8.3929),   (0.5532)),
      (    (~0.8143),  (~0.5091),  (~0.2788),  (* P-O3'-275-tfo *)
           (~0.0433),  (~0.4257),   (0.9038),
           (~0.5788),   (0.7480),   (0.3246),
            (1.5227),   (6.9114),  (~7.0765)),
      (     (0.3822),  (~0.7477),   (0.5430),  (* P-O3'-180-tfo *)
            (0.4552),   (0.6637),   (0.5935),
           (~0.8042),   (0.0203),   (0.5941),
           (~6.9472),  (~4.1186),  (~5.9108)),
      (     (0.5640),   (0.8007),  (~0.2022),  (* P-O3'-60-tfo *)
           (~0.8247),   (0.5587),  (~0.0878),
            (0.0426),   (0.2162),   (0.9754),
            (6.2694),  (~7.0540),   (3.3316)),
      (    (2.8930),   (8.5380),  (~3.3280)), (* P    *)
      (    (1.6980),   (7.6960),  (~3.5570)), (* O1P  *)
      (    (3.2260),   (9.5010),  (~4.4020)), (* O2P  *)
      (    (4.1590),   (7.6040),  (~3.0340)), (* O5'  *)
      (    (5.4352),   (8.2183),  (~2.7757)), (* C5'  *)
      (    (5.3830),   (8.7883),  (~1.8481)), (* H5'  *)
      (    (5.7729),   (8.7436),  (~3.6691)), (* H5'' *)
      (    (6.4830),   (7.1518),  (~2.5252)), (* C4'  *)
      (    (7.4749),   (7.5972),  (~2.4482)), (* H4'  *)
      (    (6.1626),   (6.4620),  (~1.2827)), (* O4'  *)
      (    (6.5431),   (5.0992),  (~1.3905)), (* C1'  *)
      (    (7.2871),   (4.9328),  (~0.6114)), (* H1'  *)
      (    (7.1852),   (4.8935),  (~2.7592)), (* C2'  *)
      (    (6.8573),   (3.9363),  (~3.1645)), (* H2'' *)
      (    (8.5780),   (5.1025),  (~2.6046)), (* O2'  *)
      (    (8.9516),   (4.7577),  (~1.7902)), (* H2'  *)
      (    (6.5522),   (6.0300),  (~3.5612)), (* C3'  *)
      (    (5.5420),   (5.7356),  (~3.8459)), (* H3'  *)
      (    (7.3487),   (6.4089),  (~4.6867)), (* O3'  *)
      (    (4.7442),   (0.4514),  (~0.1390)), (* N1   *)
      (    (6.3687),   (2.1459),  (~0.5926)), (* N3   *)
      (    (5.9795),   (0.9335),  (~0.2657)), (* C2   *)
      (    (5.3052),   (2.9471),  (~0.8125)), (* C4   *)
      (    (3.9891),   (2.5987),  (~0.7230)), (* C5   *)
      (    (3.7016),   (1.2717),  (~0.3647)), (* C6 *)
      (G (
      (    (6.8745),  (~0.0224),  (~0.0058)), (* N2   *)
      (    (3.1770),   (3.6859),  (~1.0198)), (* N7   *)
      (    (5.3247),   (4.2695),  (~1.1710)), (* N9   *)
      (    (4.0156),   (4.6415),  (~1.2759)), (* C8   *)
      (    (2.4553),   (0.7925),  (~0.2390)), (* O6   *)
      (    (4.6497),  (~0.5095),   (0.1212)), (* H1   *)
      (    (6.6836),  (~0.9771),   (0.2627)), (* H21  *)
      (    (7.8474),   (0.2424),  (~0.0653)), (* H22  *)
      (    (3.4426),   (5.5361),  (~1.5199))) (* H8   *)
      )
    )

val rG02
  = (
      (     (0.5566),   (0.0449),   (0.8296),  (* dgf-base-tfo *)
            (0.5125),   (0.7673),  (~0.3854),
           (~0.6538),   (0.6397),   (0.4041),
           (~9.1161),  (~3.7679),  (~2.9968)),
      (    (~0.8143),  (~0.5091),  (~0.2788),  (* P-O3'-275-tfo *)
           (~0.0433),  (~0.4257),   (0.9038),
           (~0.5788),   (0.7480),   (0.3246),
            (1.5227),   (6.9114),  (~7.0765)),
      (     (0.3822),  (~0.7477),   (0.5430),  (* P-O3'-180-tfo *)
            (0.4552),   (0.6637),   (0.5935),
           (~0.8042),   (0.0203),   (0.5941),
           (~6.9472),  (~4.1186),  (~5.9108)),
      (     (0.5640),   (0.8007),  (~0.2022),  (* P-O3'-60-tfo *)
           (~0.8247),   (0.5587),  (~0.0878),
            (0.0426),   (0.2162),   (0.9754),
            (6.2694),  (~7.0540),   (3.3316)),
      (    (2.8930),   (8.5380),  (~3.3280)), (* P    *)
      (    (1.6980),   (7.6960),  (~3.5570)), (* O1P  *)
      (    (3.2260),   (9.5010),  (~4.4020)), (* O2P  *)
      (    (4.1590),   (7.6040),  (~3.0340)), (* O5'  *)
      (    (4.5778),   (6.6594),  (~4.0364)), (* C5'  *)
      (    (4.9220),   (7.1963),  (~4.9204)), (* H5'  *)
      (    (3.7996),   (5.9091),  (~4.1764)), (* H5'' *)
      (    (5.7873),   (5.8869),  (~3.5482)), (* C4'  *)
      (    (6.0405),   (5.0875),  (~4.2446)), (* H4'  *)
      (    (6.9135),   (6.8036),  (~3.4310)), (* O4'  *)
      (    (7.7293),   (6.4084),  (~2.3392)), (* C1'  *)
      (    (8.7078),   (6.1815),  (~2.7624)), (* H1'  *)
      (    (7.1305),   (5.1418),  (~1.7347)), (* C2'  *)
      (    (7.2040),   (5.1982),  (~0.6486)), (* H2'' *)
      (    (7.7417),   (4.0392),  (~2.3813)), (* O2'  *)
      (    (8.6785),   (4.1443),  (~2.5630)), (* H2'  *)
      (    (5.6666),   (5.2728),  (~2.1536)), (* C3'  *)
      (    (5.1747),   (5.9805),  (~1.4863)), (* H3'  *)
      (    (4.9997),   (4.0086),  (~2.1973)), (* O3'  *)
      (   (10.3245),   (8.5459),   (1.5467)), (* N1   *)
      (    (9.8051),   (6.9432),  (~0.1497)), (* N3   *)
      (   (10.5175),   (7.4328),   (0.8408)), (* C2   *)
      (    (8.7523),   (7.7422),  (~0.4228)), (* C4   *)
      (    (8.4257),   (8.9060),   (0.2099)), (* C5   *)
      (    (9.2665),   (9.3242),   (1.2540)), (* C6 *)
      (G (
      (   (11.6077),   (6.7966),   (1.2752)), (* N2   *)
      (    (7.2750),   (9.4537),  (~0.3428)), (* N7   *)
      (    (7.7962),   (7.5519),  (~1.3859)), (* N9   *)
      (    (6.9479),   (8.6157),  (~1.2771)), (* C8   *)
      (    (9.0664),  (10.4462),   (1.9610)), (* O6   *)
      (   (10.9838),   (8.7524),   (2.2697)), (* H1   *)
      (   (12.2274),   (7.0896),   (2.0170)), (* H21  *)
      (   (11.8502),   (5.9398),   (0.7984)), (* H22  *)
      (    (6.0430),   (8.9853),  (~1.7594))) (* H8   *)
      )
    )

val rG03
  = (
      (    (~0.5021),   (0.0731),   (0.8617),  (* dgf-base-tfo *)
           (~0.8112),   (0.3054),  (~0.4986),
           (~0.2996),  (~0.9494),  (~0.0940),
            (6.4273),  (~5.1944),  (~3.7807)),
      (    (~0.8143),  (~0.5091),  (~0.2788),  (* P-O3'-275-tfo *)
           (~0.0433),  (~0.4257),   (0.9038),
           (~0.5788),   (0.7480),   (0.3246),
            (1.5227),   (6.9114),  (~7.0765)),
      (     (0.3822),  (~0.7477),   (0.5430),  (* P-O3'-180-tfo *)
            (0.4552),   (0.6637),   (0.5935),
           (~0.8042),   (0.0203),   (0.5941),
           (~6.9472),  (~4.1186),  (~5.9108)),
      (     (0.5640),   (0.8007),  (~0.2022),  (* P-O3'-60-tfo *)
           (~0.8247),   (0.5587),  (~0.0878),
            (0.0426),   (0.2162),   (0.9754),
            (6.2694),  (~7.0540),   (3.3316)),
      (    (2.8930),   (8.5380),  (~3.3280)), (* P    *)
      (    (1.6980),   (7.6960),  (~3.5570)), (* O1P  *)
      (    (3.2260),   (9.5010),  (~4.4020)), (* O2P  *)
      (    (4.1590),   (7.6040),  (~3.0340)), (* O5'  *)
      (    (4.1214),   (6.7116),  (~1.9049)), (* C5'  *)
      (    (3.3465),   (5.9610),  (~2.0607)), (* H5'  *)
      (    (4.0789),   (7.2928),  (~0.9837)), (* H5'' *)
      (    (5.4170),   (5.9293),  (~1.8186)), (* C4'  *)
      (    (5.4506),   (5.3400),  (~0.9023)), (* H4'  *)
      (    (5.5067),   (5.0417),  (~2.9703)), (* O4'  *)
      (    (6.8650),   (4.9152),  (~3.3612)), (* C1'  *)
      (    (7.1090),   (3.8577),  (~3.2603)), (* H1'  *)
      (    (7.7152),   (5.7282),  (~2.3894)), (* C2'  *)
      (    (8.5029),   (6.2356),  (~2.9463)), (* H2'' *)
      (    (8.1036),   (4.8568),  (~1.3419)), (* O2'  *)
      (    (8.3270),   (3.9651),  (~1.6184)), (* H2'  *)
      (    (6.7003),   (6.7565),  (~1.8911)), (* C3'  *)
      (    (6.5898),   (7.5329),  (~2.6482)), (* H3'  *)
      (    (7.0505),   (7.2878),  (~0.6105)), (* O3'  *)
      (    (9.6740),   (4.7656),  (~7.6614)), (* N1   *)
      (    (9.0739),   (4.3013),  (~5.3941)), (* N3   *)
      (    (9.8416),   (4.2192),  (~6.4581)), (* C2   *)
      (    (7.9885),   (5.0632),  (~5.6446)), (* C4   *)
      (    (7.6822),   (5.6856),  (~6.8194)), (* C5   *)
      (    (8.5831),   (5.5215),  (~7.8840)), (* C6 *)
      (G (
      (   (10.9733),   (3.5117),  (~6.4286)), (* N2   *)
      (    (6.4857),   (6.3816),  (~6.7035)), (* N7   *)
      (    (6.9740),   (5.3703),  (~4.7760)), (* N9   *)
      (    (6.1133),   (6.1613),  (~5.4808)), (* C8   *)
      (    (8.4084),   (6.0747),  (~9.0933)), (* O6   *)
      (   (10.3759),   (4.5855),  (~8.3504)), (* H1   *)
      (   (11.6254),   (3.3761),  (~7.1879)), (* H21  *)
      (   (11.1917),   (3.0460),  (~5.5593)), (* H22  *)
      (    (5.1705),   (6.6830),  (~5.3167))) (* H8   *)
      )
    )

val rG04
  = (
      (    (~0.5426),  (~0.8175),   (0.1929),  (* dgf-base-tfo *)
            (0.8304),  (~0.5567),  (~0.0237),
            (0.1267),   (0.1473),   (0.9809),
           (~0.5075),   (8.3929),   (0.2229)),
      (    (~0.8143),  (~0.5091),  (~0.2788),  (* P-O3'-275-tfo *)
           (~0.0433),  (~0.4257),   (0.9038),
           (~0.5788),   (0.7480),   (0.3246),
            (1.5227),   (6.9114),  (~7.0765)),
      (     (0.3822),  (~0.7477),   (0.5430),  (* P-O3'-180-tfo *)
            (0.4552),   (0.6637),   (0.5935),
           (~0.8042),   (0.0203),   (0.5941),
           (~6.9472),  (~4.1186),  (~5.9108)),
      (     (0.5640),   (0.8007),  (~0.2022),  (* P-O3'-60-tfo *)
           (~0.8247),   (0.5587),  (~0.0878),
            (0.0426),   (0.2162),   (0.9754),
            (6.2694),  (~7.0540),   (3.3316)),
      (    (2.8930),   (8.5380),  (~3.3280)), (* P    *)
      (    (1.6980),   (7.6960),  (~3.5570)), (* O1P  *)
      (    (3.2260),   (9.5010),  (~4.4020)), (* O2P  *)
      (    (4.1590),   (7.6040),  (~3.0340)), (* O5'  *)
      (    (5.4352),   (8.2183),  (~2.7757)), (* C5'  *)
      (    (5.3830),   (8.7883),  (~1.8481)), (* H5'  *)
      (    (5.7729),   (8.7436),  (~3.6691)), (* H5'' *)
      (    (6.4830),   (7.1518),  (~2.5252)), (* C4'  *)
      (    (7.4749),   (7.5972),  (~2.4482)), (* H4'  *)
      (    (6.1626),   (6.4620),  (~1.2827)), (* O4'  *)
      (    (6.5431),   (5.0992),  (~1.3905)), (* C1'  *)
      (    (7.2871),   (4.9328),  (~0.6114)), (* H1'  *)
      (    (7.1852),   (4.8935),  (~2.7592)), (* C2'  *)
      (    (6.8573),   (3.9363),  (~3.1645)), (* H2'' *)
      (    (8.5780),   (5.1025),  (~2.6046)), (* O2'  *)
      (    (8.9516),   (4.7577),  (~1.7902)), (* H2'  *)
      (    (6.5522),   (6.0300),  (~3.5612)), (* C3'  *)
      (    (5.5420),   (5.7356),  (~3.8459)), (* H3'  *)
      (    (7.3487),   (6.4089),  (~4.6867)), (* O3'  *)
      (    (3.6343),   (2.6680),   (2.0783)), (* N1   *)
      (    (5.4505),   (3.9805),   (1.2446)), (* N3   *)
      (    (4.7540),   (3.3816),   (2.1851)), (* C2   *)
      (    (4.8805),   (3.7951),   (0.0354)), (* C4   *)
      (    (3.7416),   (3.0925),  (~0.2305)), (* C5   *)
      (    (3.0873),   (2.4980),   (0.8606)), (* C6 *)
      (G (
      (    (5.1433),   (3.4373),   (3.4609)), (* N2   *)
      (    (3.4605),   (3.1184),  (~1.5906)), (* N7   *)
      (    (5.3247),   (4.2695),  (~1.1710)), (* N9   *)
      (    (4.4244),   (3.8244),  (~2.0953)), (* C8   *)
      (    (1.9600),   (1.7805),   (0.7462)), (* O6   *)
      (    (3.2489),   (2.2879),   (2.9191)), (* H1   *)
      (    (4.6785),   (3.0243),   (4.2568)), (* H21  *)
      (    (5.9823),   (3.9654),   (3.6539)), (* H22  *)
      (    (4.2675),   (3.8876),  (~3.1721))) (* H8   *)
      )
    )

val rG05
  = (
      (    (~0.5891),   (0.0449),   (0.8068),  (* dgf-base-tfo *)
            (0.5375),   (0.7673),   (0.3498),
           (~0.6034),   (0.6397),  (~0.4762),
           (~0.3019),  (~3.7679),  (~9.5913)),
      (    (~0.8143),  (~0.5091),  (~0.2788),  (* P-O3'-275-tfo *)
           (~0.0433),  (~0.4257),   (0.9038),
           (~0.5788),   (0.7480),   (0.3246),
            (1.5227),   (6.9114),  (~7.0765)),
      (     (0.3822),  (~0.7477),   (0.5430),  (* P-O3'-180-tfo *)
            (0.4552),   (0.6637),   (0.5935),
           (~0.8042),   (0.0203),   (0.5941),
           (~6.9472),  (~4.1186),  (~5.9108)),
      (     (0.5640),   (0.8007),  (~0.2022),  (* P-O3'-60-tfo *)
           (~0.8247),   (0.5587),  (~0.0878),
            (0.0426),   (0.2162),   (0.9754),
            (6.2694),  (~7.0540),   (3.3316)),
      (    (2.8930),   (8.5380),  (~3.3280)), (* P    *)
      (    (1.6980),   (7.6960),  (~3.5570)), (* O1P  *)
      (    (3.2260),   (9.5010),  (~4.4020)), (* O2P  *)
      (    (4.1590),   (7.6040),  (~3.0340)), (* O5'  *)
      (    (4.5778),   (6.6594),  (~4.0364)), (* C5'  *)
      (    (4.9220),   (7.1963),  (~4.9204)), (* H5'  *)
      (    (3.7996),   (5.9091),  (~4.1764)), (* H5'' *)
      (    (5.7873),   (5.8869),  (~3.5482)), (* C4'  *)
      (    (6.0405),   (5.0875),  (~4.2446)), (* H4'  *)
      (    (6.9135),   (6.8036),  (~3.4310)), (* O4'  *)
      (    (7.7293),   (6.4084),  (~2.3392)), (* C1'  *)
      (    (8.7078),   (6.1815),  (~2.7624)), (* H1'  *)
      (    (7.1305),   (5.1418),  (~1.7347)), (* C2'  *)
      (    (7.2040),   (5.1982),  (~0.6486)), (* H2'' *)
      (    (7.7417),   (4.0392),  (~2.3813)), (* O2'  *)
      (    (8.6785),   (4.1443),  (~2.5630)), (* H2'  *)
      (    (5.6666),   (5.2728),  (~2.1536)), (* C3'  *)
      (    (5.1747),   (5.9805),  (~1.4863)), (* H3'  *)
      (    (4.9997),   (4.0086),  (~2.1973)), (* O3'  *)
      (   (10.2594),  (10.6774),  (~1.0056)), (* N1   *)
      (    (9.7528),   (8.7080),  (~2.2631)), (* N3   *)
      (   (10.4471),   (9.7876),  (~1.9791)), (* C2   *)
      (    (8.7271),   (8.5575),  (~1.3991)), (* C4   *)
      (    (8.4100),   (9.3803),  (~0.3580)), (* C5   *)
      (    (9.2294),  (10.5030),  (~0.1574)), (* C6 *)
      (G (
      (   (11.5110),  (10.1256),  (~2.7114)), (* N2   *)
      (    (7.2891),   (8.9068),   (0.3121)), (* N7   *)
      (    (7.7962),   (7.5519),  (~1.3859)), (* N9   *)
      (    (6.9702),   (7.8292),  (~0.3353)), (* C8   *)
      (    (9.0349),  (11.3951),   (0.8250)), (* O6   *)
      (   (10.9013),  (11.4422),  (~0.9512)), (* H1   *)
      (   (12.1031),  (10.9341),  (~2.5861)), (* H21  *)
      (   (11.7369),   (9.5180),  (~3.4859)), (* H22  *)
      (    (6.0888),   (7.3990),   (0.1403))) (* H8   *)
      )
    )

val rG06
  = (
      (    (~0.9815),   (0.0731),  (~0.1772),  (* dgf-base-tfo *)
            (0.1912),   (0.3054),  (~0.9328),
           (~0.0141),  (~0.9494),  (~0.3137),
            (5.7506),  (~5.1944),   (4.7470)),
      (    (~0.8143),  (~0.5091),  (~0.2788),  (* P-O3'-275-tfo *)
           (~0.0433),  (~0.4257),   (0.9038),
           (~0.5788),   (0.7480),   (0.3246),
            (1.5227),   (6.9114),  (~7.0765)),
      (     (0.3822),  (~0.7477),   (0.5430),  (* P-O3'-180-tfo *)
            (0.4552),   (0.6637),   (0.5935),
           (~0.8042),   (0.0203),   (0.5941),
           (~6.9472),  (~4.1186),  (~5.9108)),
      (     (0.5640),   (0.8007),  (~0.2022),  (* P-O3'-60-tfo *)
           (~0.8247),   (0.5587),  (~0.0878),
            (0.0426),   (0.2162),   (0.9754),
            (6.2694),  (~7.0540),   (3.3316)),
      (    (2.8930),   (8.5380),  (~3.3280)), (* P    *)
      (    (1.6980),   (7.6960),  (~3.5570)), (* O1P  *)
      (    (3.2260),   (9.5010),  (~4.4020)), (* O2P  *)
      (    (4.1590),   (7.6040),  (~3.0340)), (* O5'  *)
      (    (4.1214),   (6.7116),  (~1.9049)), (* C5'  *)
      (    (3.3465),   (5.9610),  (~2.0607)), (* H5'  *)
      (    (4.0789),   (7.2928),  (~0.9837)), (* H5'' *)
      (    (5.4170),   (5.9293),  (~1.8186)), (* C4'  *)
      (    (5.4506),   (5.3400),  (~0.9023)), (* H4'  *)
      (    (5.5067),   (5.0417),  (~2.9703)), (* O4'  *)
      (    (6.8650),   (4.9152),  (~3.3612)), (* C1'  *)
      (    (7.1090),   (3.8577),  (~3.2603)), (* H1'  *)
      (    (7.7152),   (5.7282),  (~2.3894)), (* C2'  *)
      (    (8.5029),   (6.2356),  (~2.9463)), (* H2'' *)
      (    (8.1036),   (4.8568),  (~1.3419)), (* O2'  *)
      (    (8.3270),   (3.9651),  (~1.6184)), (* H2'  *)
      (    (6.7003),   (6.7565),  (~1.8911)), (* C3'  *)
      (    (6.5898),   (7.5329),  (~2.6482)), (* H3'  *)
      (    (7.0505),   (7.2878),  (~0.6105)), (* O3'  *)
      (    (6.6624),   (3.5061),  (~8.2986)), (* N1   *)
      (    (6.5810),   (3.2570),  (~5.9221)), (* N3   *)
      (    (6.5151),   (2.8263),  (~7.1625)), (* C2   *)
      (    (6.8364),   (4.5817),  (~5.8882)), (* C4   *)
      (    (7.0116),   (5.4064),  (~6.9609)), (* C5   *)
      (    (6.9173),   (4.8260),  (~8.2361)), (* C6 *)
      (G (
      (    (6.2717),   (1.5402),  (~7.4250)), (* N2   *)
      (    (7.2573),   (6.7070),  (~6.5394)), (* N7   *)
      (    (6.9740),   (5.3703),  (~4.7760)), (* N9   *)
      (    (7.2238),   (6.6275),  (~5.2453)), (* C8   *)
      (    (7.0668),   (5.5163),  (~9.3763)), (* O6   *)
      (    (6.5754),   (2.9964),  (~9.1545)), (* H1   *)
      (    (6.1908),   (1.1105),  (~8.3354)), (* H21  *)
      (    (6.1346),   (0.9352),  (~6.6280)), (* H22  *)
      (    (7.4108),   (7.6227),  (~4.8418))) (* H8   *)
      )
    )

val rG07
  = (
      (     (0.0894),  (~0.6059),   (0.7905),  (* dgf-base-tfo *)
           (~0.6810),   (0.5420),   (0.4924),
           (~0.7268),  (~0.5824),  (~0.3642),
           (34.1424),  (45.9610), (~11.8600)),
      (    (~0.8644),  (~0.4956),  (~0.0851),  (* P-O3'-275-tfo *)
           (~0.0427),   (0.2409),  (~0.9696),
            (0.5010),  (~0.8345),  (~0.2294),
            (4.0167),  (54.5377),  (12.4779)),
      (     (0.3706),  (~0.6167),   (0.6945),  (* P-O3'-180-tfo *)
           (~0.2867),  (~0.7872),  (~0.5460),
            (0.8834),   (0.0032),  (~0.4686),
          (~52.9020),  (18.6313),  (~0.6709)),
      (     (0.4155),   (0.9025),  (~0.1137),  (* P-O3'-60-tfo *)
            (0.9040),  (~0.4236),  (~0.0582),
           (~0.1007),  (~0.0786),  (~0.9918),
           (~7.6624), (~25.2080),  (49.5181)),
      (   (31.3810),   (0.1400),  (47.5810)), (* P    *)
      (   (29.9860),   (0.6630),  (47.6290)), (* O1P  *)
      (   (31.7210),  (~0.6460),  (48.8090)), (* O2P  *)
      (   (32.4940),   (1.2540),  (47.2740)), (* O5'  *)
      (   (33.8709),   (0.7918),  (47.2113)), (* C5'  *)
      (   (34.1386),   (0.5870),  (46.1747)), (* H5'  *)
      (   (34.0186),  (~0.0095),  (47.9353)), (* H5'' *)
      (   (34.7297),   (1.9687),  (47.6685)), (* C4'  *)
      (   (35.7723),   (1.6845),  (47.8113)), (* H4'  *)
      (   (34.6455),   (2.9768),  (46.6660)), (* O4'  *)
      (   (34.1690),   (4.1829),  (47.2627)), (* C1'  *)
      (   (35.0437),   (4.7633),  (47.5560)), (* H1'  *)
      (   (33.4145),   (3.7532),  (48.4954)), (* C2'  *)
      (   (32.4340),   (3.3797),  (48.2001)), (* H2'' *)
      (   (33.3209),   (4.6953),  (49.5217)), (* O2'  *)
      (   (33.2374),   (5.6059),  (49.2295)), (* H2'  *)
      (   (34.2724),   (2.5970),  (48.9773)), (* C3'  *)
      (   (33.6373),   (1.8935),  (49.5157)), (* H3'  *)
      (   (35.3453),   (3.1884),  (49.7285)), (* O3'  *)
      (   (34.0511),   (7.8930),  (43.7791)), (* N1   *)
      (   (34.9937),   (6.3369),  (45.3199)), (* N3   *)
      (   (35.0882),   (7.3126),  (44.4200)), (* C2   *)
      (   (33.7190),   (5.9650),  (45.5374)), (* C4   *)
      (   (32.5845),   (6.4770),  (44.9458)), (* C5   *)
      (   (32.7430),   (7.5179),  (43.9914)), (* C6 *)
      (G (
      (   (36.3030),   (7.7827),  (44.1036)), (* N2   *)
      (   (31.4499),   (5.8335),  (45.4368)), (* N7   *)
      (   (33.2760),   (4.9817),  (46.4043)), (* N9   *)
      (   (31.9235),   (4.9639),  (46.2934)), (* C8   *)
      (   (31.8602),   (8.1000),  (43.3695)), (* O6   *)
      (   (34.2623),   (8.6223),  (43.1283)), (* H1   *)
      (   (36.5188),   (8.5081),  (43.4347)), (* H21  *)
      (   (37.0888),   (7.3524),  (44.5699)), (* H22  *)
      (   (31.0815),   (4.4201),  (46.7218))) (* H8   *)
      )
    )

val rG08
  = (
      (     (0.2224),   (0.6335),   (0.7411),  (* dgf-base-tfo *)
           (~0.3644),  (~0.6510),   (0.6659),
            (0.9043),  (~0.4181),   (0.0861),
          (~47.6824),  (~0.5823), (~31.7554)),
      (    (~0.8644),  (~0.4956),  (~0.0851),  (* P-O3'-275-tfo *)
           (~0.0427),   (0.2409),  (~0.9696),
            (0.5010),  (~0.8345),  (~0.2294),
            (4.0167),  (54.5377),  (12.4779)),
      (     (0.3706),  (~0.6167),   (0.6945),  (* P-O3'-180-tfo *)
           (~0.2867),  (~0.7872),  (~0.5460),
            (0.8834),   (0.0032),  (~0.4686),
          (~52.9020),  (18.6313),  (~0.6709)),
      (     (0.4155),   (0.9025),  (~0.1137),  (* P-O3'-60-tfo *)
            (0.9040),  (~0.4236),  (~0.0582),
           (~0.1007),  (~0.0786),  (~0.9918),
           (~7.6624), (~25.2080),  (49.5181)),
      (   (31.3810),   (0.1400),  (47.5810)), (* P    *)
      (   (29.9860),   (0.6630),  (47.6290)), (* O1P  *)
      (   (31.7210),  (~0.6460),  (48.8090)), (* O2P  *)
      (   (32.4940),   (1.2540),  (47.2740)), (* O5'  *)
      (   (32.5924),   (2.3488),  (48.2255)), (* C5'  *)
      (   (33.3674),   (2.1246),  (48.9584)), (* H5'  *)
      (   (31.5994),   (2.5917),  (48.6037)), (* H5'' *)
      (   (33.0722),   (3.5577),  (47.4258)), (* C4'  *)
      (   (33.0310),   (4.4778),  (48.0089)), (* H4'  *)
      (   (34.4173),   (3.3055),  (47.0316)), (* O4'  *)
      (   (34.5056),   (3.3910),  (45.6094)), (* C1'  *)
      (   (34.7881),   (4.4152),  (45.3663)), (* H1'  *)
      (   (33.1122),   (3.1198),  (45.1010)), (* C2'  *)
      (   (32.9230),   (2.0469),  (45.1369)), (* H2'' *)
      (   (32.7946),   (3.6590),  (43.8529)), (* O2'  *)
      (   (33.5170),   (3.6707),  (43.2207)), (* H2'  *)
      (   (32.2730),   (3.8173),  (46.1566)), (* C3'  *)
      (   (31.3094),   (3.3123),  (46.2244)), (* H3'  *)
      (   (32.2391),   (5.2039),  (45.7807)), (* O3'  *)
      (   (39.3337),   (2.7157),  (44.1441)), (* N1   *)
      (   (37.4430),   (3.8242),  (45.0824)), (* N3   *)
      (   (38.7276),   (3.7646),  (44.7403)), (* C2   *)
      (   (36.7791),   (2.6963),  (44.7704)), (* C4   *)
      (   (37.2860),   (1.5653),  (44.1678)), (* C5   *)
      (   (38.6647),   (1.5552),  (43.8235)), (* C6 *)
      (G (
      (   (39.5123),   (4.8216),  (44.9936)), (* N2   *)
      (   (36.2829),   (0.6110),  (44.0078)), (* N7   *)
      (   (35.4394),   (2.4314),  (44.9931)), (* N9   *)
      (   (35.2180),   (1.1815),  (44.5128)), (* C8   *)
      (   (39.2907),   (0.6514),  (43.2796)), (* O6   *)
      (   (40.3076),   (2.8048),  (43.9352)), (* H1   *)
      (   (40.4994),   (4.9066),  (44.7977)), (* H21  *)
      (   (39.0738),   (5.6108),  (45.4464)), (* H22  *)
      (   (34.3856),   (0.4842),  (44.4185))) (* H8   *)
      )
    )

val rG09
  = (
      (    (~0.9699),  (~0.1688),  (~0.1753),  (* dgf-base-tfo *)
           (~0.1050),  (~0.3598),   (0.9271),
           (~0.2196),   (0.9176),   (0.3312),
           (45.6217), (~38.9484), (~12.3208)),
      (    (~0.8644),  (~0.4956),  (~0.0851),  (* P-O3'-275-tfo *)
           (~0.0427),   (0.2409),  (~0.9696),
            (0.5010),  (~0.8345),  (~0.2294),
            (4.0167),  (54.5377),  (12.4779)),
      (     (0.3706),  (~0.6167),   (0.6945),  (* P-O3'-180-tfo *)
           (~0.2867),  (~0.7872),  (~0.5460),
            (0.8834),   (0.0032),  (~0.4686),
          (~52.9020),  (18.6313),  (~0.6709)),
      (     (0.4155),   (0.9025),  (~0.1137),  (* P-O3'-60-tfo *)
            (0.9040),  (~0.4236),  (~0.0582),
           (~0.1007),  (~0.0786),  (~0.9918),
           (~7.6624), (~25.2080),  (49.5181)),
      (   (31.3810),   (0.1400),  (47.5810)), (* P    *)
      (   (29.9860),   (0.6630),  (47.6290)), (* O1P  *)
      (   (31.7210),  (~0.6460),  (48.8090)), (* O2P  *)
      (   (32.4940),   (1.2540),  (47.2740)), (* O5'  *)
      (   (33.8709),   (0.7918),  (47.2113)), (* C5'  *)
      (   (34.1386),   (0.5870),  (46.1747)), (* H5'  *)
      (   (34.0186),  (~0.0095),  (47.9353)), (* H5'' *)
      (   (34.7297),   (1.9687),  (47.6685)), (* C4'  *)
      (   (34.5880),   (2.8482),  (47.0404)), (* H4'  *)
      (   (34.3575),   (2.2770),  (49.0081)), (* O4'  *)
      (   (35.5157),   (2.1993),  (49.8389)), (* C1'  *)
      (   (35.9424),   (3.2010),  (49.8893)), (* H1'  *)
      (   (36.4701),   (1.2820),  (49.1169)), (* C2'  *)
      (   (36.1545),   (0.2498),  (49.2683)), (* H2'' *)
      (   (37.8262),   (1.4547),  (49.4008)), (* O2'  *)
      (   (38.0227),   (1.6945),  (50.3094)), (* H2'  *)
      (   (36.2242),   (1.6797),  (47.6725)), (* C3'  *)
      (   (36.4297),   (0.8197),  (47.0351)), (* H3'  *)
      (   (37.0289),   (2.8480),  (47.4426)), (* O3'  *)
      (   (34.3005),   (3.5042),  (54.6070)), (* N1   *)
      (   (34.7693),   (3.7936),  (52.2874)), (* N3   *)
      (   (34.4484),   (4.2541),  (53.4939)), (* C2   *)
      (   (34.9354),   (2.4584),  (52.2785)), (* C4   *)
      (   (34.8092),   (1.5915),  (53.3422)), (* C5   *)
      (   (34.4646),   (2.1367),  (54.6085)), (* C6 *)
      (G (
      (   (34.2514),   (5.5708),  (53.6503)), (* N2   *)
      (   (35.0641),   (0.2835),  (52.9337)), (* N7   *)
      (   (35.2669),   (1.6690),  (51.1915)), (* N9   *)
      (   (35.3288),   (0.3954),  (51.6563)), (* C8   *)
      (   (34.3151),   (1.5317),  (55.6650)), (* O6   *)
      (   (34.0623),   (3.9797),  (55.4539)), (* H1   *)
      (   (33.9950),   (6.0502),  (54.5016)), (* H21  *)
      (   (34.3512),   (6.1432),  (52.8242)), (* H22  *)
      (   (35.5414),  (~0.6006),  (51.2679))) (* H8   *)
      )
    )

val rG10
  = (
      (    (~0.0980),  (~0.9723),   (0.2122),  (* dgf-base-tfo *)
           (~0.9731),   (0.1383),   (0.1841),
           (~0.2083),  (~0.1885),  (~0.9597),
           (17.8469),  (38.8265),  (37.0475)),
      (    (~0.8644),  (~0.4956),  (~0.0851),  (* P-O3'-275-tfo *)
           (~0.0427),   (0.2409),  (~0.9696),
            (0.5010),  (~0.8345),  (~0.2294),
            (4.0167),  (54.5377),  (12.4779)),
      (     (0.3706),  (~0.6167),   (0.6945),  (* P-O3'-180-tfo *)
           (~0.2867),  (~0.7872),  (~0.5460),
            (0.8834),   (0.0032),  (~0.4686),
          (~52.9020),  (18.6313),  (~0.6709)),
      (     (0.4155),   (0.9025),  (~0.1137),  (* P-O3'-60-tfo *)
            (0.9040),  (~0.4236),  (~0.0582),
           (~0.1007),  (~0.0786),  (~0.9918),
           (~7.6624), (~25.2080),  (49.5181)),
      (   (31.3810),   (0.1400),  (47.5810)), (* P    *)
      (   (29.9860),   (0.6630),  (47.6290)), (* O1P  *)
      (   (31.7210),  (~0.6460),  (48.8090)), (* O2P  *)
      (   (32.4940),   (1.2540),  (47.2740)), (* O5'  *)
      (   (32.5924),   (2.3488),  (48.2255)), (* C5'  *)
      (   (33.3674),   (2.1246),  (48.9584)), (* H5'  *)
      (   (31.5994),   (2.5917),  (48.6037)), (* H5'' *)
      (   (33.0722),   (3.5577),  (47.4258)), (* C4'  *)
      (   (34.0333),   (3.3761),  (46.9447)), (* H4'  *)
      (   (32.0890),   (3.8338),  (46.4332)), (* O4'  *)
      (   (31.6377),   (5.1787),  (46.5914)), (* C1'  *)
      (   (32.2499),   (5.8016),  (45.9392)), (* H1'  *)
      (   (31.9167),   (5.5319),  (48.0305)), (* C2'  *)
      (   (31.1507),   (5.0820),  (48.6621)), (* H2'' *)
      (   (32.0865),   (6.8890),  (48.3114)), (* O2'  *)
      (   (31.5363),   (7.4819),  (47.7942)), (* H2'  *)
      (   (33.2398),   (4.8224),  (48.2563)), (* C3'  *)
      (   (33.3166),   (4.5570),  (49.3108)), (* H3'  *)
      (   (34.2528),   (5.7056),  (47.7476)), (* O3'  *)
      (   (28.2782),   (6.3049),  (42.9364)), (* N1   *)
      (   (30.4001),   (5.8547),  (43.9258)), (* N3   *)
      (   (29.6195),   (6.1568),  (42.8913)), (* C2   *)
      (   (29.7005),   (5.7006),  (45.0649)), (* C4   *)
      (   (28.3383),   (5.8221),  (45.2343)), (* C5   *)
      (   (27.5519),   (6.1461),  (44.0958)), (* C6 *)
      (G (
      (   (30.1838),   (6.3385),  (41.6890)), (* N2   *)
      (   (27.9936),   (5.5926),  (46.5651)), (* N7   *)
      (   (30.2046),   (5.3825),  (46.3136)), (* N9   *)
      (   (29.1371),   (5.3398),  (47.1506)), (* C8   *)
      (   (26.3361),   (6.3024),  (44.0495)), (* O6   *)
      (   (27.8122),   (6.5394),  (42.0833)), (* H1   *)
      (   (29.7125),   (6.5595),  (40.8235)), (* H21  *)
      (   (31.1859),   (6.2231),  (41.6389)), (* H22  *)
      (   (28.9406),   (5.1504),  (48.2059))) (* H8   *)
      )
    )

val rGs = [rG01,rG02,rG03,rG04,rG05,rG06,rG07,rG08,rG09,rG10]

val rU
  = (
      (    (~0.0359),  (~0.8071),   (0.5894),  (* dgf-base-tfo *)
           (~0.2669),   (0.5761),   (0.7726),
           (~0.9631),  (~0.1296),  (~0.2361),
            (0.1584),   (8.3434),   (0.5434)),
      (    (~0.8313),  (~0.4738),  (~0.2906),  (* P-O3'-275-tfo *)
            (0.0649),   (0.4366),  (~0.8973),
            (0.5521),  (~0.7648),  (~0.3322),
            (1.6833),   (6.8060),  (~7.0011)),
      (     (0.3445),  (~0.7630),   (0.5470),  (* P-O3'-180-tfo *)
           (~0.4628),  (~0.6450),  (~0.6082),
            (0.8168),  (~0.0436),  (~0.5753),
           (~6.8179),  (~3.9778),  (~5.9887)),
      (     (0.5855),   (0.7931),  (~0.1682),  (* P-O3'-60-tfo *)
            (0.8103),  (~0.5790),   (0.0906),
           (~0.0255),  (~0.1894),  (~0.9816),
            (6.1203),  (~7.1051),   (3.1984)),
      (    (2.6760),  (~8.4960),   (3.2880)), (* P    *)
      (    (1.4950),  (~7.6230),   (3.4770)), (* O1P  *)
      (    (2.9490),  (~9.4640),   (4.3740)), (* O2P  *)
      (    (3.9730),  (~7.5950),   (3.0340)), (* O5'  *)
      (    (5.2430),  (~8.2420),   (2.8260)), (* C5'  *)
      (    (5.1974),  (~8.8497),   (1.9223)), (* H5'  *)
      (    (5.5548),  (~8.7348),   (3.7469)), (* H5'' *)
      (    (6.3140),  (~7.2060),   (2.5510)), (* C4'  *)
      (    (7.2954),  (~7.6762),   (2.4898)), (* H4'  *)
      (    (6.0140),  (~6.5420),   (1.2890)), (* O4'  *)
      (    (6.4190),  (~5.1840),   (1.3620)), (* C1'  *)
      (    (7.1608),  (~5.0495),   (0.5747)), (* H1'  *)
      (    (7.0760),  (~4.9560),   (2.7270)), (* C2'  *)
      (    (6.7770),  (~3.9803),   (3.1099)), (* H2'' *)
      (    (8.4500),  (~5.1930),   (2.5810)), (* O2'  *)
      (    (8.8309),  (~4.8755),   (1.7590)), (* H2'  *)
      (    (6.4060),  (~6.0590),   (3.5580)), (* C3'  *)
      (    (5.4021),  (~5.7313),   (3.8281)), (* H3'  *)
      (    (7.1570),  (~6.4240),   (4.7070)), (* O3'  *)
      (    (5.2170),  (~4.3260),   (1.1690)), (* N1   *)
      (    (4.2960),  (~2.2560),   (0.6290)), (* N3   *)
      (    (5.4330),  (~3.0200),   (0.7990)), (* C2   *)
      (    (2.9930),  (~2.6780),   (0.7940)), (* C4   *)
      (    (2.8670),  (~4.0630),   (1.1830)), (* C5   *)
      (    (3.9570),  (~4.8300),   (1.3550)), (* C6 *)
      (U (
      (    (6.5470),  (~2.5560),   (0.6290)), (* O2   *)
      (    (2.0540),  (~1.9000),   (0.6130)), (* O4   *)
      (    (4.4300),  (~1.3020),   (0.3600)), (* H3   *)
      (    (1.9590),  (~4.4570),   (1.3250)), (* H5   *)
      (    (3.8460),  (~5.7860),   (1.6240))) (* H6   *)
      )
    )

val rU01
  = (
      (    (~0.0137),  (~0.8012),   (0.5983),  (* dgf-base-tfo *)
           (~0.2523),   (0.5817),   (0.7733),
           (~0.9675),  (~0.1404),  (~0.2101),
            (0.2031),   (8.3874),   (0.4228)),
      (    (~0.8313),  (~0.4738),  (~0.2906),  (* P-O3'-275-tfo *)
            (0.0649),   (0.4366),  (~0.8973),
            (0.5521),  (~0.7648),  (~0.3322),
            (1.6833),   (6.8060),  (~7.0011)),
      (     (0.3445),  (~0.7630),   (0.5470),  (* P-O3'-180-tfo *)
           (~0.4628),  (~0.6450),  (~0.6082),
            (0.8168),  (~0.0436),  (~0.5753),
           (~6.8179),  (~3.9778),  (~5.9887)),
      (     (0.5855),   (0.7931),  (~0.1682),  (* P-O3'-60-tfo *)
            (0.8103),  (~0.5790),   (0.0906),
           (~0.0255),  (~0.1894),  (~0.9816),
            (6.1203),  (~7.1051),   (3.1984)),
      (    (2.6760),  (~8.4960),   (3.2880)), (* P    *)
      (    (1.4950),  (~7.6230),   (3.4770)), (* O1P  *)
      (    (2.9490),  (~9.4640),   (4.3740)), (* O2P  *)
      (    (3.9730),  (~7.5950),   (3.0340)), (* O5'  *)
      (    (5.2416),  (~8.2422),   (2.8181)), (* C5'  *)
      (    (5.2050),  (~8.8128),   (1.8901)), (* H5'  *)
      (    (5.5368),  (~8.7738),   (3.7227)), (* H5'' *)
      (    (6.3232),  (~7.2037),   (2.6002)), (* C4'  *)
      (    (7.3048),  (~7.6757),   (2.5577)), (* H4'  *)
      (    (6.0635),  (~6.5092),   (1.3456)), (* O4'  *)
      (    (6.4697),  (~5.1547),   (1.4629)), (* C1'  *)
      (    (7.2354),  (~5.0043),   (0.7018)), (* H1'  *)
      (    (7.0856),  (~4.9610),   (2.8521)), (* C2'  *)
      (    (6.7777),  (~3.9935),   (3.2487)), (* H2'' *)
      (    (8.4627),  (~5.1992),   (2.7423)), (* O2'  *)
      (    (8.8693),  (~4.8638),   (1.9399)), (* H2'  *)
      (    (6.3877),  (~6.0809),   (3.6362)), (* C3'  *)
      (    (5.3770),  (~5.7562),   (3.8834)), (* H3'  *)
      (    (7.1024),  (~6.4754),   (4.7985)), (* O3'  *)
      (    (5.2764),  (~4.2883),   (1.2538)), (* N1   *)
      (    (4.3777),  (~2.2062),   (0.7229)), (* N3   *)
      (    (5.5069),  (~2.9779),   (0.9088)), (* C2   *)
      (    (3.0693),  (~2.6246),   (0.8500)), (* C4   *)
      (    (2.9279),  (~4.0146),   (1.2149)), (* C5   *)
      (    (4.0101),  (~4.7892),   (1.4017)), (* C6 *)
      (U (
      (    (6.6267),  (~2.5166),   (0.7728)), (* O2   *)
      (    (2.1383),  (~1.8396),   (0.6581)), (* O4   *)
      (    (4.5223),  (~1.2489),   (0.4716)), (* H3   *)
      (    (2.0151),  (~4.4065),   (1.3290)), (* H5   *)
      (    (3.8886),  (~5.7486),   (1.6535))) (* H6   *)
      )
    )

val rU02
  = (
      (     (0.5141),   (0.0246),   (0.8574),  (* dgf-base-tfo *)
           (~0.5547),  (~0.7529),   (0.3542),
            (0.6542),  (~0.6577),  (~0.3734),
           (~9.1111),  (~3.4598),  (~3.2939)),
      (    (~0.8313),  (~0.4738),  (~0.2906),  (* P-O3'-275-tfo *)
            (0.0649),   (0.4366),  (~0.8973),
            (0.5521),  (~0.7648),  (~0.3322),
            (1.6833),   (6.8060),  (~7.0011)),
      (     (0.3445),  (~0.7630),   (0.5470),  (* P-O3'-180-tfo *)
           (~0.4628),  (~0.6450),  (~0.6082),
            (0.8168),  (~0.0436),  (~0.5753),
           (~6.8179),  (~3.9778),  (~5.9887)),
      (     (0.5855),   (0.7931),  (~0.1682),  (* P-O3'-60-tfo *)
            (0.8103),  (~0.5790),   (0.0906),
           (~0.0255),  (~0.1894),  (~0.9816),
            (6.1203),  (~7.1051),   (3.1984)),
      (    (2.6760),  (~8.4960),   (3.2880)), (* P    *)
      (    (1.4950),  (~7.6230),   (3.4770)), (* O1P  *)
      (    (2.9490),  (~9.4640),   (4.3740)), (* O2P  *)
      (    (3.9730),  (~7.5950),   (3.0340)), (* O5'  *)
      (    (4.3825),  (~6.6585),   (4.0489)), (* C5'  *)
      (    (4.6841),  (~7.2019),   (4.9443)), (* H5'  *)
      (    (3.6189),  (~5.8889),   (4.1625)), (* H5'' *)
      (    (5.6255),  (~5.9175),   (3.5998)), (* C4'  *)
      (    (5.8732),  (~5.1228),   (4.3034)), (* H4'  *)
      (    (6.7337),  (~6.8605),   (3.5222)), (* O4'  *)
      (    (7.5932),  (~6.4923),   (2.4548)), (* C1'  *)
      (    (8.5661),  (~6.2983),   (2.9064)), (* H1'  *)
      (    (7.0527),  (~5.2012),   (1.8322)), (* C2'  *)
      (    (7.1627),  (~5.2525),   (0.7490)), (* H2'' *)
      (    (7.6666),  (~4.1249),   (2.4880)), (* O2'  *)
      (    (8.5944),  (~4.2543),   (2.6981)), (* H2'  *)
      (    (5.5661),  (~5.3029),   (2.2009)), (* C3'  *)
      (    (5.0841),  (~6.0018),   (1.5172)), (* H3'  *)
      (    (4.9062),  (~4.0452),   (2.2042)), (* O3'  *)
      (    (7.6298),  (~7.6136),   (1.4752)), (* N1   *)
      (    (8.6945),  (~8.7046),  (~0.2857)), (* N3   *)
      (    (8.6943),  (~7.6514),   (0.6066)), (* C2   *)
      (    (7.7426),  (~9.6987),  (~0.3801)), (* C4   *)
      (    (6.6642),  (~9.5742),   (0.5722)), (* C5   *)
      (    (6.6391),  (~8.5592),   (1.4526)), (* C6 *)
      (U (
      (    (9.5840),  (~6.8186),   (0.6136)), (* O2   *)
      (    (7.8505), (~10.5925),  (~1.2223)), (* O4   *)
      (    (9.4601),  (~8.7514),  (~0.9277)), (* H3   *)
      (    (5.9281), (~10.2509),   (0.5782)), (* H5   *)
      (    (5.8831),  (~8.4931),   (2.1028))) (* H6   *)
      )
    )

val rU03
  = (
      (    (~0.4993),   (0.0476),   (0.8651),  (* dgf-base-tfo *)
            (0.8078),  (~0.3353),   (0.4847),
            (0.3132),   (0.9409),   (0.1290),
            (6.2989),  (~5.2303),  (~3.8577)),
      (    (~0.8313),  (~0.4738),  (~0.2906),  (* P-O3'-275-tfo *)
            (0.0649),   (0.4366),  (~0.8973),
            (0.5521),  (~0.7648),  (~0.3322),
            (1.6833),   (6.8060),  (~7.0011)),
      (     (0.3445),  (~0.7630),   (0.5470),  (* P-O3'-180-tfo *)
           (~0.4628),  (~0.6450),  (~0.6082),
            (0.8168),  (~0.0436),  (~0.5753),
           (~6.8179),  (~3.9778),  (~5.9887)),
      (     (0.5855),   (0.7931),  (~0.1682),  (* P-O3'-60-tfo *)
            (0.8103),  (~0.5790),   (0.0906),
           (~0.0255),  (~0.1894),  (~0.9816),
            (6.1203),  (~7.1051),   (3.1984)),
      (    (2.6760),  (~8.4960),   (3.2880)), (* P    *)
      (    (1.4950),  (~7.6230),   (3.4770)), (* O1P  *)
      (    (2.9490),  (~9.4640),   (4.3740)), (* O2P  *)
      (    (3.9730),  (~7.5950),   (3.0340)), (* O5'  *)
      (    (3.9938),  (~6.7042),   (1.9023)), (* C5'  *)
      (    (3.2332),  (~5.9343),   (2.0319)), (* H5'  *)
      (    (3.9666),  (~7.2863),   (0.9812)), (* H5'' *)
      (    (5.3098),  (~5.9546),   (1.8564)), (* C4'  *)
      (    (5.3863),  (~5.3702),   (0.9395)), (* H4'  *)
      (    (5.3851),  (~5.0642),   (3.0076)), (* O4'  *)
      (    (6.7315),  (~4.9724),   (3.4462)), (* C1'  *)
      (    (7.0033),  (~3.9202),   (3.3619)), (* H1'  *)
      (    (7.5997),  (~5.8018),   (2.4948)), (* C2'  *)
      (    (8.3627),  (~6.3254),   (3.0707)), (* H2'' *)
      (    (8.0410),  (~4.9501),   (1.4724)), (* O2'  *)
      (    (8.2781),  (~4.0644),   (1.7570)), (* H2'  *)
      (    (6.5701),  (~6.8129),   (1.9714)), (* C3'  *)
      (    (6.4186),  (~7.5809),   (2.7299)), (* H3'  *)
      (    (6.9357),  (~7.3841),   (0.7235)), (* O3'  *)
      (    (6.8024),  (~5.4718),   (4.8475)), (* N1   *)
      (    (7.9218),  (~5.5700),   (6.8877)), (* N3   *)
      (    (7.8908),  (~5.0886),   (5.5944)), (* C2   *)
      (    (6.9789),  (~6.3827),   (7.4823)), (* C4   *)
      (    (5.8742),  (~6.7319),   (6.6202)), (* C5   *)
      (    (5.8182),  (~6.2769),   (5.3570)), (* C6 *)
      (U (
      (    (8.7747),  (~4.3728),   (5.1568)), (* O2   *)
      (    (7.1154),  (~6.7509),   (8.6509)), (* O4   *)
      (    (8.7055),  (~5.3037),   (7.4491)), (* H3   *)
      (    (5.1416),  (~7.3178),   (6.9665)), (* H5   *)
      (    (5.0441),  (~6.5310),   (4.7784))) (* H6   *)
      )
    )

val rU04
  = (
      (    (~0.5669),  (~0.8012),   (0.1918),  (* dgf-base-tfo *)
           (~0.8129),   (0.5817),   (0.0273),
           (~0.1334),  (~0.1404),  (~0.9811),
           (~0.3279),   (8.3874),   (0.3355)),
      (    (~0.8313),  (~0.4738),  (~0.2906),  (* P-O3'-275-tfo *)
            (0.0649),   (0.4366),  (~0.8973),
            (0.5521),  (~0.7648),  (~0.3322),
            (1.6833),   (6.8060),  (~7.0011)),
      (     (0.3445),  (~0.7630),   (0.5470),  (* P-O3'-180-tfo *)
           (~0.4628),  (~0.6450),  (~0.6082),
            (0.8168),  (~0.0436),  (~0.5753),
           (~6.8179),  (~3.9778),  (~5.9887)),
      (     (0.5855),   (0.7931),  (~0.1682),  (* P-O3'-60-tfo *)
            (0.8103),  (~0.5790),   (0.0906),
           (~0.0255),  (~0.1894),  (~0.9816),
            (6.1203),  (~7.1051),   (3.1984)),
      (    (2.6760),  (~8.4960),   (3.2880)), (* P    *)
      (    (1.4950),  (~7.6230),   (3.4770)), (* O1P  *)
      (    (2.9490),  (~9.4640),   (4.3740)), (* O2P  *)
      (    (3.9730),  (~7.5950),   (3.0340)), (* O5'  *)
      (    (5.2416),  (~8.2422),   (2.8181)), (* C5'  *)
      (    (5.2050),  (~8.8128),   (1.8901)), (* H5'  *)
      (    (5.5368),  (~8.7738),   (3.7227)), (* H5'' *)
      (    (6.3232),  (~7.2037),   (2.6002)), (* C4'  *)
      (    (7.3048),  (~7.6757),   (2.5577)), (* H4'  *)
      (    (6.0635),  (~6.5092),   (1.3456)), (* O4'  *)
      (    (6.4697),  (~5.1547),   (1.4629)), (* C1'  *)
      (    (7.2354),  (~5.0043),   (0.7018)), (* H1'  *)
      (    (7.0856),  (~4.9610),   (2.8521)), (* C2'  *)
      (    (6.7777),  (~3.9935),   (3.2487)), (* H2'' *)
      (    (8.4627),  (~5.1992),   (2.7423)), (* O2'  *)
      (    (8.8693),  (~4.8638),   (1.9399)), (* H2'  *)
      (    (6.3877),  (~6.0809),   (3.6362)), (* C3'  *)
      (    (5.3770),  (~5.7562),   (3.8834)), (* H3'  *)
      (    (7.1024),  (~6.4754),   (4.7985)), (* O3'  *)
      (    (5.2764),  (~4.2883),   (1.2538)), (* N1   *)
      (    (3.8961),  (~3.0896),  (~0.1893)), (* N3   *)
      (    (5.0095),  (~3.8907),  (~0.0346)), (* C2   *)
      (    (3.0480),  (~2.6632),   (0.8116)), (* C4   *)
      (    (3.4093),  (~3.1310),   (2.1292)), (* C5   *)
      (    (4.4878),  (~3.9124),   (2.3088)), (* C6 *)
      (U (
      (    (5.7005),  (~4.2164),  (~0.9842)), (* O2   *)
      (    (2.0800),  (~1.9458),   (0.5503)), (* O4   *)
      (    (3.6834),  (~2.7882),  (~1.1190)), (* H3   *)
      (    (2.8508),  (~2.8721),   (2.9172)), (* H5   *)
      (    (4.7188),  (~4.2247),   (3.2295))) (* H6   *)
      )
    )

val rU05
  = (
      (    (~0.6298),   (0.0246),   (0.7763),  (* dgf-base-tfo *)
           (~0.5226),  (~0.7529),  (~0.4001),
            (0.5746),  (~0.6577),   (0.4870),
           (~0.0208),  (~3.4598),  (~9.6882)),
      (    (~0.8313),  (~0.4738),  (~0.2906),  (* P-O3'-275-tfo *)
            (0.0649),   (0.4366),  (~0.8973),
            (0.5521),  (~0.7648),  (~0.3322),
            (1.6833),   (6.8060),  (~7.0011)),
      (     (0.3445),  (~0.7630),   (0.5470),  (* P-O3'-180-tfo *)
           (~0.4628),  (~0.6450),  (~0.6082),
            (0.8168),  (~0.0436),  (~0.5753),
           (~6.8179),  (~3.9778),  (~5.9887)),
      (     (0.5855),   (0.7931),  (~0.1682),  (* P-O3'-60-tfo *)
            (0.8103),  (~0.5790),   (0.0906),
           (~0.0255),  (~0.1894),  (~0.9816),
            (6.1203),  (~7.1051),   (3.1984)),
      (    (2.6760),  (~8.4960),   (3.2880)), (* P    *)
      (    (1.4950),  (~7.6230),   (3.4770)), (* O1P  *)
      (    (2.9490),  (~9.4640),   (4.3740)), (* O2P  *)
      (    (3.9730),  (~7.5950),   (3.0340)), (* O5'  *)
      (    (4.3825),  (~6.6585),   (4.0489)), (* C5'  *)
      (    (4.6841),  (~7.2019),   (4.9443)), (* H5'  *)
      (    (3.6189),  (~5.8889),   (4.1625)), (* H5'' *)
      (    (5.6255),  (~5.9175),   (3.5998)), (* C4'  *)
      (    (5.8732),  (~5.1228),   (4.3034)), (* H4'  *)
      (    (6.7337),  (~6.8605),   (3.5222)), (* O4'  *)
      (    (7.5932),  (~6.4923),   (2.4548)), (* C1'  *)
      (    (8.5661),  (~6.2983),   (2.9064)), (* H1'  *)
      (    (7.0527),  (~5.2012),   (1.8322)), (* C2'  *)
      (    (7.1627),  (~5.2525),   (0.7490)), (* H2'' *)
      (    (7.6666),  (~4.1249),   (2.4880)), (* O2'  *)
      (    (8.5944),  (~4.2543),   (2.6981)), (* H2'  *)
      (    (5.5661),  (~5.3029),   (2.2009)), (* C3'  *)
      (    (5.0841),  (~6.0018),   (1.5172)), (* H3'  *)
      (    (4.9062),  (~4.0452),   (2.2042)), (* O3'  *)
      (    (7.6298),  (~7.6136),   (1.4752)), (* N1   *)
      (    (8.5977),  (~9.5977),   (0.7329)), (* N3   *)
      (    (8.5951),  (~8.5745),   (1.6594)), (* C2   *)
      (    (7.7372),  (~9.7371),  (~0.3364)), (* C4   *)
      (    (6.7596),  (~8.6801),  (~0.4476)), (* C5   *)
      (    (6.7338),  (~7.6721),   (0.4408)), (* C6 *)
      (U (
      (    (9.3993),  (~8.5377),   (2.5743)), (* O2   *)
      (    (7.8374), (~10.6990),  (~1.1008)), (* O4   *)
      (    (9.2924), (~10.3081),   (0.8477)), (* H3   *)
      (    (6.0932),  (~8.6982),  (~1.1929)), (* H5   *)
      (    (6.0481),  (~6.9515),   (0.3446))) (* H6   *)
      )
    )

val rU06
  = (
      (    (~0.9837),   (0.0476),  (~0.1733),  (* dgf-base-tfo *)
           (~0.1792),  (~0.3353),   (0.9249),
           (~0.0141),   (0.9409),   (0.3384),
            (5.7793),  (~5.2303),   (4.5997)),
      (    (~0.8313),  (~0.4738),  (~0.2906),  (* P-O3'-275-tfo *)
            (0.0649),   (0.4366),  (~0.8973),
            (0.5521),  (~0.7648),  (~0.3322),
            (1.6833),   (6.8060),  (~7.0011)),
      (     (0.3445),  (~0.7630),   (0.5470),  (* P-O3'-180-tfo *)
           (~0.4628),  (~0.6450),  (~0.6082),
            (0.8168),  (~0.0436),  (~0.5753),
           (~6.8179),  (~3.9778),  (~5.9887)),
      (     (0.5855),   (0.7931),  (~0.1682),  (* P-O3'-60-tfo *)
            (0.8103),  (~0.5790),   (0.0906),
           (~0.0255),  (~0.1894),  (~0.9816),
            (6.1203),  (~7.1051),   (3.1984)),
      (    (2.6760),  (~8.4960),   (3.2880)), (* P    *)
      (    (1.4950),  (~7.6230),   (3.4770)), (* O1P  *)
      (    (2.9490),  (~9.4640),   (4.3740)), (* O2P  *)
      (    (3.9730),  (~7.5950),   (3.0340)), (* O5'  *)
      (    (3.9938),  (~6.7042),   (1.9023)), (* C5'  *)
      (    (3.2332),  (~5.9343),   (2.0319)), (* H5'  *)
      (    (3.9666),  (~7.2863),   (0.9812)), (* H5'' *)
      (    (5.3098),  (~5.9546),   (1.8564)), (* C4'  *)
      (    (5.3863),  (~5.3702),   (0.9395)), (* H4'  *)
      (    (5.3851),  (~5.0642),   (3.0076)), (* O4'  *)
      (    (6.7315),  (~4.9724),   (3.4462)), (* C1'  *)
      (    (7.0033),  (~3.9202),   (3.3619)), (* H1'  *)
      (    (7.5997),  (~5.8018),   (2.4948)), (* C2'  *)
      (    (8.3627),  (~6.3254),   (3.0707)), (* H2'' *)
      (    (8.0410),  (~4.9501),   (1.4724)), (* O2'  *)
      (    (8.2781),  (~4.0644),   (1.7570)), (* H2'  *)
      (    (6.5701),  (~6.8129),   (1.9714)), (* C3'  *)
      (    (6.4186),  (~7.5809),   (2.7299)), (* H3'  *)
      (    (6.9357),  (~7.3841),   (0.7235)), (* O3'  *)
      (    (6.8024),  (~5.4718),   (4.8475)), (* N1   *)
      (    (6.6920),  (~5.0495),   (7.1354)), (* N3   *)
      (    (6.6201),  (~4.5500),   (5.8506)), (* C2   *)
      (    (6.9254),  (~6.3614),   (7.4926)), (* C4   *)
      (    (7.1046),  (~7.2543),   (6.3718)), (* C5   *)
      (    (7.0391),  (~6.7951),   (5.1106)), (* C6 *)
      (U (
      (    (6.4083),  (~3.3696),   (5.6340)), (* O2   *)
      (    (6.9679),  (~6.6901),   (8.6800)), (* O4   *)
      (    (6.5626),  (~4.3957),   (7.8812)), (* H3   *)
      (    (7.2781),  (~8.2254),   (6.5350)), (* H5   *)
      (    (7.1657),  (~7.4312),   (4.3503))) (* H6   *)
      )
    )

val rU07
  = (
      (    (~0.9434),   (0.3172),   (0.0971),  (* dgf-base-tfo *)
            (0.2294),   (0.4125),   (0.8816),
            (0.2396),   (0.8539),  (~0.4619),
            (8.3625), (~52.7147),   (1.3745)),
      (     (0.2765),  (~0.1121),  (~0.9545),  (* P-O3'-275-tfo *)
           (~0.8297),   (0.4733),  (~0.2959),
            (0.4850),   (0.8737),   (0.0379),
          (~14.7774), (~45.2464),  (21.9088)),
      (     (0.1063),  (~0.6334),  (~0.7665),  (* P-O3'-180-tfo *)
           (~0.5932),  (~0.6591),   (0.4624),
           (~0.7980),   (0.4055),  (~0.4458),
           (43.7634),   (4.3296),  (28.4890)),
      (     (0.7136),  (~0.5032),  (~0.4873),  (* P-O3'-60-tfo *)
            (0.6803),   (0.3317),   (0.6536),
           (~0.1673),  (~0.7979),   (0.5791),
          (~17.1858),  (41.4390), (~27.0751)),
      (   (21.3880),  (15.0780),  (45.5770)), (* P    *)
      (   (21.9980),  (14.5500),  (46.8210)), (* O1P  *)
      (   (21.1450),  (14.0270),  (44.5420)), (* O2P  *)
      (   (22.1250),  (16.3600),  (44.9460)), (* O5'  *)
      (   (21.5037),  (16.8594),  (43.7323)), (* C5'  *)
      (   (20.8147),  (17.6663),  (43.9823)), (* H5'  *)
      (   (21.1086),  (16.0230),  (43.1557)), (* H5'' *)
      (   (22.5654),  (17.4874),  (42.8616)), (* C4'  *)
      (   (22.1584),  (17.7243),  (41.8785)), (* H4'  *)
      (   (23.0557),  (18.6826),  (43.4751)), (* O4'  *)
      (   (24.4788),  (18.6151),  (43.6455)), (* C1'  *)
      (   (24.9355),  (19.0840),  (42.7739)), (* H1'  *)
      (   (24.7958),  (17.1427),  (43.6474)), (* C2'  *)
      (   (24.5652),  (16.7400),  (44.6336)), (* H2'' *)
      (   (26.1041),  (16.8773),  (43.2455)), (* O2'  *)
      (   (26.7516),  (17.5328),  (43.5149)), (* H2'  *)
      (   (23.8109),  (16.5979),  (42.6377)), (* C3'  *)
      (   (23.5756),  (15.5686),  (42.9084)), (* H3'  *)
      (   (24.2890),  (16.7447),  (41.2729)), (* O3'  *)
      (   (24.9420),  (19.2174),  (44.8923)), (* N1   *)
      (   (25.2655),  (20.5636),  (44.8883)), (* N3   *)
      (   (25.1663),  (21.2219),  (43.8561)), (* C2   *)
      (   (25.6911),  (21.1219),  (46.0494)), (* C4   *)
      (   (25.8051),  (20.4068),  (47.2048)), (* C5   *)
      (   (26.2093),  (20.9962),  (48.2534)), (* C6 *)
      (U (
      (   (25.4692),  (19.0221),  (47.2053)), (* O2   *)
      (   (25.0502),  (18.4827),  (46.0370)), (* O4   *)
      (   (25.9599),  (22.1772),  (46.0966)), (* H3   *)
      (   (25.5545),  (18.4409),  (48.1234)), (* H5   *)
      (   (24.7854),  (17.4265),  (45.9883))) (* H6   *)
      )
    )

val rU08
  = (
      (    (~0.0080),  (~0.7928),   (0.6094),  (* dgf-base-tfo *)
           (~0.7512),   (0.4071),   (0.5197),
           (~0.6601),  (~0.4536),  (~0.5988),
           (44.1482),  (30.7036),   (2.1088)),
      (     (0.2765),  (~0.1121),  (~0.9545),  (* P-O3'-275-tfo *)
           (~0.8297),   (0.4733),  (~0.2959),
            (0.4850),   (0.8737),   (0.0379),
          (~14.7774), (~45.2464),  (21.9088)),
      (     (0.1063),  (~0.6334),  (~0.7665),  (* P-O3'-180-tfo *)
           (~0.5932),  (~0.6591),   (0.4624),
           (~0.7980),   (0.4055),  (~0.4458),
           (43.7634),   (4.3296),  (28.4890)),
      (     (0.7136),  (~0.5032),  (~0.4873),  (* P-O3'-60-tfo *)
            (0.6803),   (0.3317),   (0.6536),
           (~0.1673),  (~0.7979),   (0.5791),
          (~17.1858),  (41.4390), (~27.0751)),
      (   (21.3880),  (15.0780),  (45.5770)), (* P    *)
      (   (21.9980),  (14.5500),  (46.8210)), (* O1P  *)
      (   (21.1450),  (14.0270),  (44.5420)), (* O2P  *)
      (   (22.1250),  (16.3600),  (44.9460)), (* O5'  *)
      (   (23.5096),  (16.1227),  (44.5783)), (* C5'  *)
      (   (23.5649),  (15.8588),  (43.5222)), (* H5'  *)
      (   (23.9621),  (15.4341),  (45.2919)), (* H5'' *)
      (   (24.2805),  (17.4138),  (44.7151)), (* C4'  *)
      (   (25.3492),  (17.2309),  (44.6030)), (* H4'  *)
      (   (23.8497),  (18.3471),  (43.7208)), (* O4'  *)
      (   (23.4090),  (19.5681),  (44.3321)), (* C1'  *)
      (   (24.2595),  (20.2496),  (44.3524)), (* H1'  *)
      (   (23.0418),  (19.1813),  (45.7407)), (* C2'  *)
      (   (22.0532),  (18.7224),  (45.7273)), (* H2'' *)
      (   (23.1307),  (20.2521),  (46.6291)), (* O2'  *)
      (   (22.8888),  (21.1051),  (46.2611)), (* H2'  *)
      (   (24.0799),  (18.1326),  (46.0700)), (* C3'  *)
      (   (23.6490),  (17.4370),  (46.7900)), (* H3'  *)
      (   (25.3329),  (18.7227),  (46.5109)), (* O3'  *)
      (   (22.2515),  (20.1624),  (43.6698)), (* N1   *)
      (   (22.4760),  (21.0609),  (42.6406)), (* N3   *)
      (   (23.6229),  (21.3462),  (42.3061)), (* C2   *)
      (   (21.3986),  (21.6081),  (42.0236)), (* C4   *)
      (   (20.1189),  (21.3012),  (42.3804)), (* C5   *)
      (   (19.1599),  (21.8516),  (41.7578)), (* C6 *)
      (U (
      (   (19.8919),  (20.3745),  (43.4387)), (* O2   *)
      (   (20.9790),  (19.8423),  (44.0440)), (* O4   *)
      (   (21.5235),  (22.3222),  (41.2097)), (* H3   *)
      (   (18.8732),  (20.1200),  (43.7312)), (* H5   *)
      (   (20.8545),  (19.1313),  (44.8608))) (* H6   *)
      )
    )

val rU09
  = (
      (    (~0.0317),   (0.1374),   (0.9900),  (* dgf-base-tfo *)
           (~0.3422),  (~0.9321),   (0.1184),
            (0.9391),  (~0.3351),   (0.0765),
          (~32.1929),  (25.8198), (~28.5088)),
      (     (0.2765),  (~0.1121),  (~0.9545),  (* P-O3'-275-tfo *)
           (~0.8297),   (0.4733),  (~0.2959),
            (0.4850),   (0.8737),   (0.0379),
          (~14.7774), (~45.2464),  (21.9088)),
      (     (0.1063),  (~0.6334),  (~0.7665),  (* P-O3'-180-tfo *)
           (~0.5932),  (~0.6591),   (0.4624),
           (~0.7980),   (0.4055),  (~0.4458),
           (43.7634),   (4.3296),  (28.4890)),
      (     (0.7136),  (~0.5032),  (~0.4873),  (* P-O3'-60-tfo *)
            (0.6803),   (0.3317),   (0.6536),
           (~0.1673),  (~0.7979),   (0.5791),
          (~17.1858),  (41.4390), (~27.0751)),
      (   (21.3880),  (15.0780),  (45.5770)), (* P    *)
      (   (21.9980),  (14.5500),  (46.8210)), (* O1P  *)
      (   (21.1450),  (14.0270),  (44.5420)), (* O2P  *)
      (   (22.1250),  (16.3600),  (44.9460)), (* O5'  *)
      (   (21.5037),  (16.8594),  (43.7323)), (* C5'  *)
      (   (20.8147),  (17.6663),  (43.9823)), (* H5'  *)
      (   (21.1086),  (16.0230),  (43.1557)), (* H5'' *)
      (   (22.5654),  (17.4874),  (42.8616)), (* C4'  *)
      (   (23.0565),  (18.3036),  (43.3915)), (* H4'  *)
      (   (23.5375),  (16.5054),  (42.4925)), (* O4'  *)
      (   (23.6574),  (16.4257),  (41.0649)), (* C1'  *)
      (   (24.4701),  (17.0882),  (40.7671)), (* H1'  *)
      (   (22.3525),  (16.9643),  (40.5396)), (* C2'  *)
      (   (21.5993),  (16.1799),  (40.6133)), (* H2'' *)
      (   (22.4693),  (17.4849),  (39.2515)), (* O2'  *)
      (   (23.0899),  (17.0235),  (38.6827)), (* H2'  *)
      (   (22.0341),  (18.0633),  (41.5279)), (* C3'  *)
      (   (20.9509),  (18.1709),  (41.5846)), (* H3'  *)
      (   (22.7249),  (19.3020),  (41.2100)), (* O3'  *)
      (   (23.8580),  (15.0648),  (40.5757)), (* N1   *)
      (   (25.1556),  (14.5982),  (40.4523)), (* N3   *)
      (   (26.1047),  (15.3210),  (40.7448)), (* C2   *)
      (   (25.3391),  (13.3315),  (40.0020)), (* C4   *)
      (   (24.2974),  (12.5148),  (39.6749)), (* C5   *)
      (   (24.5450),  (11.3410),  (39.2610)), (* C6 *)
      (U (
      (   (22.9633),  (12.9979),  (39.8053)), (* O2   *)
      (   (22.8009),  (14.2648),  (40.2524)), (* O4   *)
      (   (26.3414),  (12.9194),  (39.8855)), (* H3   *)
      (   (22.1227),  (12.3533),  (39.5486)), (* H5   *)
      (   (21.7989),  (14.6788),  (40.3650))) (* H6   *)
      )
    )

val rU10
  = (
      (    (~0.9674),   (0.1021),  (~0.2318),  (* dgf-base-tfo *)
           (~0.2514),  (~0.2766),   (0.9275),
            (0.0306),   (0.9555),   (0.2933),
           (27.8571), (~42.1305), (~24.4563)),
      (     (0.2765),  (~0.1121),  (~0.9545),  (* P-O3'-275-tfo *)
           (~0.8297),   (0.4733),  (~0.2959),
            (0.4850),   (0.8737),   (0.0379),
          (~14.7774), (~45.2464),  (21.9088)),
      (     (0.1063),  (~0.6334),  (~0.7665),  (* P-O3'-180-tfo *)
           (~0.5932),  (~0.6591),   (0.4624),
           (~0.7980),   (0.4055),  (~0.4458),
           (43.7634),   (4.3296),  (28.4890)),
      (     (0.7136),  (~0.5032),  (~0.4873),  (* P-O3'-60-tfo *)
            (0.6803),   (0.3317),   (0.6536),
           (~0.1673),  (~0.7979),   (0.5791),
          (~17.1858),  (41.4390), (~27.0751)),
      (   (21.3880),  (15.0780),  (45.5770)), (* P    *)
      (   (21.9980),  (14.5500),  (46.8210)), (* O1P  *)
      (   (21.1450),  (14.0270),  (44.5420)), (* O2P  *)
      (   (22.1250),  (16.3600),  (44.9460)), (* O5'  *)
      (   (23.5096),  (16.1227),  (44.5783)), (* C5'  *)
      (   (23.5649),  (15.8588),  (43.5222)), (* H5'  *)
      (   (23.9621),  (15.4341),  (45.2919)), (* H5'' *)
      (   (24.2805),  (17.4138),  (44.7151)), (* C4'  *)
      (   (23.8509),  (18.1819),  (44.0720)), (* H4'  *)
      (   (24.2506),  (17.8583),  (46.0741)), (* O4'  *)
      (   (25.5830),  (18.0320),  (46.5775)), (* C1'  *)
      (   (25.8569),  (19.0761),  (46.4256)), (* H1'  *)
      (   (26.4410),  (17.1555),  (45.7033)), (* C2'  *)
      (   (26.3459),  (16.1253),  (46.0462)), (* H2'' *)
      (   (27.7649),  (17.5888),  (45.6478)), (* O2'  *)
      (   (28.1004),  (17.9719),  (46.4616)), (* H2'  *)
      (   (25.7796),  (17.2997),  (44.3513)), (* C3'  *)
      (   (25.9478),  (16.3824),  (43.7871)), (* H3'  *)
      (   (26.2154),  (18.4984),  (43.6541)), (* O3'  *)
      (   (25.7321),  (17.6281),  (47.9726)), (* N1   *)
      (   (25.5136),  (18.5779),  (48.9560)), (* N3   *)
      (   (25.2079),  (19.7276),  (48.6503)), (* C2   *)
      (   (25.6482),  (18.1987),  (50.2518)), (* C4   *)
      (   (25.9847),  (16.9266),  (50.6092)), (* C5   *)
      (   (26.0918),  (16.6439),  (51.8416)), (* C6 *)
      (U (
      (   (26.2067),  (15.9515),  (49.5943)), (* O2   *)
      (   (26.0713),  (16.3497),  (48.3080)), (* O4   *)
      (   (25.4890),  (18.9105),  (51.0618)), (* H3   *)
      (   (26.4742),  (14.9310),  (49.8682)), (* H5   *)
      (   (26.2346),  (15.6394),  (47.4975))) (* H6   *)
      )
    )

val rUs = [rU01,rU02,rU03,rU04,rU05,rU06,rU07,rU08,rU09,rU10]

val rG'
  = (
      (    (~0.2067),  (~0.0264),   (0.9780),  (* dgf-base-tfo *)
            (0.9770),  (~0.0586),   (0.2049),
            (0.0519),   (0.9979),   (0.0379),
            (1.0331), (~46.8078), (~36.4742)),
      (    (~0.8644),  (~0.4956),  (~0.0851),  (* P-O3'-275-tfo *)
           (~0.0427),   (0.2409),  (~0.9696),
            (0.5010),  (~0.8345),  (~0.2294),
            (4.0167),  (54.5377),  (12.4779)),
      (     (0.3706),  (~0.6167),   (0.6945),  (* P-O3'-180-tfo *)
           (~0.2867),  (~0.7872),  (~0.5460),
            (0.8834),   (0.0032),  (~0.4686),
          (~52.9020),  (18.6313),  (~0.6709)),
      (     (0.4155),   (0.9025),  (~0.1137),  (* P-O3'-60-tfo *)
            (0.9040),  (~0.4236),  (~0.0582),
           (~0.1007),  (~0.0786),  (~0.9918),
           (~7.6624), (~25.2080),  (49.5181)),
      (   (31.3810),   (0.1400),  (47.5810)), (* P    *)
      (   (29.9860),   (0.6630),  (47.6290)), (* O1P  *)
      (   (31.7210),  (~0.6460),  (48.8090)), (* O2P  *)
      (   (32.4940),   (1.2540),  (47.2740)), (* O5'  *)
      (   (32.1610),   (2.2370),  (46.2560)), (* C5'  *)
      (   (31.2986),   (2.8190),  (46.5812)), (* H5'  *)
      (   (32.0980),   (1.7468),  (45.2845)), (* H5'' *)
      (   (33.3476),   (3.1959),  (46.1947)), (* C4'  *)
      (   (33.2668),   (3.8958),  (45.3630)), (* H4'  *)
      (   (33.3799),   (3.9183),  (47.4216)), (* O4'  *)
      (   (34.6515),   (3.7222),  (48.0398)), (* C1'  *)
      (   (35.2947),   (4.5412),  (47.7180)), (* H1'  *)
      (   (35.1756),   (2.4228),  (47.4827)), (* C2'  *)
      (   (34.6778),   (1.5937),  (47.9856)), (* H2'' *)
      (   (36.5631),   (2.2672),  (47.4798)), (* O2'  *)
      (   (37.0163),   (2.6579),  (48.2305)), (* H2'  *)
      (   (34.6953),   (2.5043),  (46.0448)), (* C3'  *)
      (   (34.5444),   (1.4917),  (45.6706)), (* H3'  *)
      (   (35.6679),   (3.3009),  (45.3487)), (* O3'  *)
      (   (37.4804),   (4.0914),  (52.2559)), (* N1   *)
      (   (36.9670),   (4.1312),  (49.9281)), (* N3   *)
      (   (37.8045),   (4.2519),  (50.9550)), (* C2   *)
      (   (35.7171),   (3.8264),  (50.3222)), (* C4   *)
      (   (35.2668),   (3.6420),  (51.6115)), (* C5   *)
      (   (36.2037),   (3.7829),  (52.6706)), (* C6 *)
      (G (
      (   (39.0869),   (4.5552),  (50.7092)), (* N2   *)
      (   (33.9075),   (3.3338),  (51.6102)), (* N7   *)
      (   (34.6126),   (3.6358),  (49.5108)), (* N9   *)
      (   (33.5805),   (3.3442),  (50.3425)), (* C8   *)
      (   (35.9958),   (3.6512),  (53.8724)), (* O6   *)
      (   (38.2106),   (4.2053),  (52.9295)), (* H1   *)
      (   (39.8218),   (4.6863),  (51.3896)), (* H21  *)
      (   (39.3420),   (4.6857),  (49.7407)), (* H22  *)
      (   (32.5194),   (3.1070),  (50.2664))) (* H8   *)
      )
    )

val rU'
  = (
      (    (~0.0109),   (0.5907),   (0.8068),  (* dgf-base-tfo *)
            (0.2217),  (~0.7853),   (0.5780),
            (0.9751),   (0.1852),  (~0.1224),
           (~1.4225), (~11.0956),  (~2.5217)),
      (    (~0.8313),  (~0.4738),  (~0.2906),  (* P-O3'-275-tfo *)
            (0.0649),   (0.4366),  (~0.8973),
            (0.5521),  (~0.7648),  (~0.3322),
            (1.6833),   (6.8060),  (~7.0011)),
      (     (0.3445),  (~0.7630),   (0.5470),  (* P-O3'-180-tfo *)
           (~0.4628),  (~0.6450),  (~0.6082),
            (0.8168),  (~0.0436),  (~0.5753),
           (~6.8179),  (~3.9778),  (~5.9887)),
      (     (0.5855),   (0.7931),  (~0.1682),  (* P-O3'-60-tfo *)
            (0.8103),  (~0.5790),   (0.0906),
           (~0.0255),  (~0.1894),  (~0.9816),
            (6.1203),  (~7.1051),   (3.1984)),
      (    (2.6760),  (~8.4960),   (3.2880)), (* P    *)
      (    (1.4950),  (~7.6230),   (3.4770)), (* O1P  *)
      (    (2.9490),  (~9.4640),   (4.3740)), (* O2P  *)
      (    (3.9730),  (~7.5950),   (3.0340)), (* O5'  *)
      (    (5.2430),  (~8.2420),   (2.8260)), (* C5'  *)
      (    (5.1974),  (~8.8497),   (1.9223)), (* H5'  *)
      (    (5.5548),  (~8.7348),   (3.7469)), (* H5'' *)
      (    (6.3140),  (~7.2060),   (2.5510)), (* C4'  *)
      (    (5.8744),  (~6.2116),   (2.4731)), (* H4'  *)
      (    (7.2798),  (~7.2260),   (3.6420)), (* O4'  *)
      (    (8.5733),  (~6.9410),   (3.1329)), (* C1'  *)
      (    (8.9047),  (~6.0374),   (3.6446)), (* H1'  *)
      (    (8.4429),  (~6.6596),   (1.6327)), (* C2'  *)
      (    (9.2880),  (~7.1071),   (1.1096)), (* H2'' *)
      (    (8.2502),  (~5.2799),   (1.4754)), (* O2'  *)
      (    (8.7676),  (~4.7284),   (2.0667)), (* H2'  *)
      (    (7.1642),  (~7.4416),   (1.3021)), (* C3'  *)
      (    (7.4125),  (~8.5002),   (1.2260)), (* H3'  *)
      (    (6.5160),  (~6.9772),   (0.1267)), (* O3'  *)
      (    (9.4531),  (~8.1107),   (3.4087)), (* N1   *)
      (   (11.5931),  (~9.0015),   (3.6357)), (* N3   *)
      (   (10.8101),  (~7.8950),   (3.3748)), (* C2   *)
      (   (11.1439), (~10.2744),   (3.9206)), (* C4   *)
      (    (9.7056), (~10.4026),   (3.9332)), (* C5   *)
      (    (8.9192),  (~9.3419),   (3.6833)), (* C6 *)
      (U (
      (   (11.3013),  (~6.8063),   (3.1326)), (* O2   *)
      (   (11.9431), (~11.1876),   (4.1375)), (* O4   *)
      (   (12.5840),  (~8.8673),   (3.6158)), (* H3   *)
      (    (9.2891), (~11.2898),   (4.1313)), (* H5   *)
      (    (7.9263),  (~9.4537),   (3.6977))) (* H6   *)
      )
    )

(* -- PARTIAL INSTANTIATIONS ------------------------------------------------*)

type var = intg*tfo*nuc

fun atom_pos atom (i,t,n) = tfo_apply t (atom n)

fun get_var id ((i,t,n)::rest)
  = if id = i then (i,t,n) else get_var id rest

(* -- SEARCH ----------------------------------------------------------------*)

(* Queue operations (to efficiently append two lists of solutions) *)

fun queue_to_list q = q

val make_empty_queue = []

fun make_singleton_queue item = [item]

fun append_queues q1 q2 = q1 @ q2

(* Sequential backtracking algorithm *)

fun
search partial_inst [] constraint
  = make_singleton_queue partial_inst
|
search partial_inst (h::t) constraint
  = search_aux partial_inst t constraint (h partial_inst)

and

search_aux partial_inst domains constraint []
  = make_empty_queue
|
search_aux partial_inst domains constraint (h::t)
  = if constraint h partial_inst then
      append_queues
        (search (h::partial_inst) domains constraint)
        (search_aux partial_inst domains constraint t)
    else
      search_aux partial_inst domains constraint t

(* -- DOMAINS ---------------------------------------------------------------*)

(* Primary structure:   strand A CUGCCACGUCUG, strand B CAGACGUGGCAG
||
|| Secondary structure: strand A CUGCCACGUCUG
||                               ||||||||||||
||                               GACGGUGCAGAC strand B
||
|| Tertiary structure:
||
||    5' end of strand A C1----G12 3' end of strand B
||                     U2-------A11
||                    G3-------C10
||                    C4-----G9
||                     C5---G8
||                        A6
||                      G6-C7
||                     C5----G8
||                    A4-------U9
||                    G3--------C10
||                     A2-------U11
||   5' end of strand B C1----G12 3' end of strand A
||
|| "helix", "stacked" and "connected" describe the spatial relationship
|| between two consecutive nucleotides. E.g. the nucleotides C1 and U2
|| from the strand A.
||
|| "wc" (stands for Watson-Crick and is a type of base-pairing),
|| and "wc-dumas" describe the spatial relationship between 
|| nucleotides from two chains that are growing in opposite directions.
|| E.g. the nucleotides C1 from strand A and G12 from strand B.
*)

(* Dynamic Domains *)

(* Given,
||   "ref" a nucleotide which is already positioned,
||   "nuc" the nucleotide to be placed,
||   and "tfo" a transformation matrix which expresses the desired
||   relationship between "ref" and "nuc",
|| the function "dgf-base" computes the transformation matrix that
|| places the nucleotide "nuc" in the given relationship to "ref".
*)

fun
dgf_base tfo (i,t,n) nuc
  = let
      val x = if is_A n then
                tfo_align (tfo_apply t (nuc_C1' n))
                          (tfo_apply t (rA_N9   n))
                          (tfo_apply t (nuc_C4  n))
              else if is_C n then
                tfo_align (tfo_apply t (nuc_C1' n))
                          (tfo_apply t (nuc_N1  n))
                          (tfo_apply t (nuc_C2  n))
              else if is_G n then
                tfo_align (tfo_apply t (nuc_C1' n))
                          (tfo_apply t (rG_N9   n))
                          (tfo_apply t (nuc_C4  n))
              else
                tfo_align (tfo_apply t (nuc_C1' n))
                          (tfo_apply t (nuc_N1  n))
                          (tfo_apply t (nuc_C2  n))
    in
      tfo_combine (nuc_dgf_base_tfo nuc)
                  (tfo_combine tfo (tfo_inv_ortho x))
    end

(* Placement of first nucleotide. *)

fun
reference nuc i partial_inst = [ (i,tfo_id,nuc) ]

(* The transformation matrix for wc is from:
||
|| Chandrasekaran R. et al (1989) A Re-Examination of the Crystal
|| Structure of A-DNA Using Fiber Diffraction Data. J. Biomol.
|| Struct. & Dynamics 6(6):1189-1202.
*)

val wc_tfo
  = (
      (~1.0000),  (0.0028), (~0.0019),
       (0.0028),  (0.3468), (~0.9379),
      (~0.0019), (~0.9379), (~0.3468),
      (~0.0080),  (6.0730),  (8.7208)
    )

fun
wc nuc i j partial_inst
  = [ (i,(dgf_base wc_tfo (get_var j partial_inst) nuc),nuc) ]

val wc_Dumas_tfo
  = (
      (~0.9737), (~0.1834),  (0.1352),
      (~0.1779),  (0.2417), (~0.9539),
       (0.1422), (~0.9529), (~0.2679),
       (0.4837),  (6.2649),  (8.0285)
    )

fun
wc_Dumas nuc i j partial_inst
  = [ (i,(dgf_base wc_Dumas_tfo (get_var j partial_inst) nuc),nuc) ]

val helix5'_tfo
  = (
       (0.9886), (~0.0961),  (0.1156),
       (0.1424),  (0.8452), (~0.5152),
      (~0.0482),  (0.5258),  (0.8492),
      (~3.8737),  (0.5480),  (3.8024)
    )

fun
helix5' nuc i j partial_inst
  = [ (i,(dgf_base helix5'_tfo (get_var j partial_inst) nuc),nuc) ]

val helix3'_tfo
  = (
       (0.9886),  (0.1424), (~0.0482),
      (~0.0961),  (0.8452),  (0.5258),
       (0.1156), (~0.5152),  (0.8492),
       (3.4426),  (2.0474), (~3.7042)
    )

fun
helix3' nuc i j partial_inst
  = [ (i,(dgf_base helix3'_tfo (get_var j partial_inst) nuc),nuc) ]

val g37_a38_tfo
  = (
       (0.9991),  (0.0164), (~0.0387),
      (~0.0375),  (0.7616), (~0.6470),
       (0.0189),  (0.6478),  (0.7615),
      (~3.3018),  (0.9975),  (2.5585)
    )

fun
g37_a38 nuc i j partial_inst
  = (i,(dgf_base g37_a38_tfo (get_var j partial_inst) nuc),nuc)

fun
stacked5' nuc i j partial_inst
  = (g37_a38 nuc i j partial_inst) :: (helix5' nuc i j partial_inst)

val a38_g37_tfo
  = (
       (0.9991), (~0.0375),  (0.0189),
       (0.0164),  (0.7616),  (0.6478), 
      (~0.0387), (~0.6470),  (0.7615),
       (3.3819),  (0.7718), (~2.5321)
    )

fun
a38_g37 nuc i j partial_inst
  = (i,(dgf_base a38_g37_tfo (get_var j partial_inst) nuc),nuc)

fun   
stacked3' nuc i j partial_inst
  = (a38_g37 nuc i j partial_inst) :: (helix3' nuc i j partial_inst)

fun
p_o3' nucs i j partial_inst
  = let
      val (k,t,n) = get_var j partial_inst
      val align = tfo_inv_ortho
                    (tfo_align (tfo_apply t (nuc_O3' n))
                               (tfo_apply t (nuc_C3' n))
                               (tfo_apply t (nuc_C4' n)))
    in
      List.concat
        (map (fn nuc => 
                       [ (i,(tfo_combine (nuc_p_o3'_60_tfo nuc) align),nuc),
                         (i,(tfo_combine (nuc_p_o3'_180_tfo nuc) align),nuc),
                         (i,(tfo_combine (nuc_p_o3'_275_tfo nuc) align),nuc) ])
             nucs)
    end

(* -- PROBLEM STATEMENT -----------------------------------------------------*)

(* Define anticodon problem -- Science 253:1255 Figure 3a, 3b and 3c *)

fun anticodon_domains ()
  = [
      reference rC  27,
      helix5'   rC  28 27,
      helix5'   rA  29 28,
      helix5'   rG  30 29,
      helix5'   rA  31 30,
      wc        rU  39 31,
      helix5'   rC  40 39,
      helix5'   rU  41 40,
      helix5'   rG  42 41,
      helix5'   rG  43 42,
      stacked3' rA  38 39,
      stacked3' rG  37 38,
      stacked3' rA  36 37,
      stacked3' rA  35 36,
      stacked3' rG  34 35, (*<-. Distan,      *)
      p_o3'     rCs 32 31, (*  | Constraint   *)
      p_o3'     rUs 33 32  (*<-' 3.0 Angstrom *)
    ]

(* Anticodon constraint *)

fun anticodon_constraint (i,t,n) partial_inst
  = if i = 33 then
      let
        val p = atom_pos nuc_P (get_var 34 partial_inst)
        val o3' = atom_pos nuc_O3' (i,t,n)
      in
        (pt_dist p o3') <= 3.0
      end
    else
      true

(* Anticodon*)

    fun anticodon () =
	  queue_to_list (search [] (anticodon_domains ()) anticodon_constraint)

    fun anticodon_length () = length(anticodon())

end;


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