
// A data file accompanying Section 6 of the paper:
//
// "EVERYWHERE LOCAL SOLUBILITY FOR HYPERSURFACES IN PRODUCTS
// OF PROJECTIVE SPACES"
// TOM FISHER, WEI HO, AND JENNIFER PARK

///////////////////////////////////////////////////////
//                                                   //
//               Experiment with H = 10              //
//                                                   //
///////////////////////////////////////////////////////

// We list data relating to 1000 randomly chosen (2,2)-forms
// with integer coefficients in [-H,H] where H = 10.

// The data listed is as follows:
// forms - a list of (2,2)-forms, each specified by 9 coefficients.
// solution_data - a list of data relating to the existence
//    or otherwise of a solution. This might be either (i) a
//    list of places where local solubility fails (-1 indicates
//    the infinite place), (ii) a solution (4 coordinates), or
//    (iii) a binary quartic (5 coefficients) or quadric
//    intersection (20 coefficients) that proves insolubility via
//    the Cassels-Tate pairing
// rank_data - the upper bounds r2,r4,r8 for the Mordell-Weil rank
//    of the Jacobian obtained by 2-, 4- or 8-descent, followed by
//    a list of the x-coordinates of the known generators.
// qilist - a list of quadric intersections (20 coefficients)
//    that we use as witnesses to the fact that certain 2-Selmer
//    group elements are in the image of the 4-Selmer group.
// ctp24data - a list of pairs of binary quartics (5 coefficients)
//    and quadric intersections (20 coefficients) together with
//    the output (0 or 1) of running CasselsTatePairing on them.

forms := [
[ 1, 9, -5, -7, -3, 9, 8, -10, -1 ],
[ -8, -5, -8, 10, -9, 4, -6, 7, 10 ],
[ 4, -9, 6, -3, 2, -5, 7, 9, 7 ],
[ 5, -6, -7, -8, 10, -2, -3, -3, 2 ],
[ 5, -4, -1, 4, 7, 2, 9, 6, -10 ],
[ 1, 7, 3, 10, -5, 1, -6, 9, 2 ],
[ 7, -10, 9, -9, -4, 8, 3, 6, -1 ],
[ -1, -10, -8, 6, -5, 7, 8, -6, -6 ],
[ -5, 1, -5, 3, -9, 10, -6, -1, 8 ],
[ 5, 3, -4, 3, -7, 5, 1, -8, 1 ],
[ -4, -5, -10, 10, 9, 8, -7, 6, -8 ],
[ 5, 6, -10, 10, 5, 6, 0, -10, 9 ],
[ -1, -4, -7, -10, 0, -8, 7, -9, 10 ],
[ 7, -3, 2, -10, 4, 8, -1, 3, 6 ],
[ 9, -2, -4, -4, 1, -7, -8, -9, 2 ],
[ 10, -5, 5, -10, -7, 9, 4, -9, 9 ],
[ -8, 8, 0, 8, 9, 3, 8, 3, 3 ],
[ -7, -1, -4, -9, 10, -6, -5, -5, 3 ],
[ -3, 1, -10, 0, 4, 7, 4, -9, 5 ],
[ -10, -6, -2, -10, -5, -5, -1, 2, 0 ],
[ -7, 0, 2, -5, 6, 3, -4, 3, -5 ],
[ 2, -8, 4, 6, 3, -2, -9, -10, 8 ],
[ 7, 3, -2, -10, -7, -1, 2, 6, -5 ],
[ 6, -1, 3, -10, -3, 8, -2, 4, 6 ],
[ -9, -1, -6, 1, 9, 4, 6, 1, -10 ],
[ -8, -6, 3, -10, 1, 4, 0, -4, 9 ],
[ 4, 5, -9, 5, -2, 1, -6, 9, 3 ],
[ 3, 4, 9, 0, 3, -10, -3, 9, -9 ],
[ 4, 7, -2, 6, 5, -4, 9, -8, -3 ],
[ -2, 9, -8, -10, -10, 8, -4, 2, -2 ],
[ 1, 3, -6, -9, -4, 7, 3, 8, 6 ],
[ 9, 8, -4, -10, 10, -3, -9, 10, 8 ],
[ 1, 10, 10, 5, -4, 3, -2, -10, 1 ],
[ 9, -4, -4, -7, -7, 4, 6, 7, -9 ],
[ -8, -2, 8, -2, 7, 1, 4, 8, -4 ],
[ -9, 9, -6, -1, -7, 10, 1, -1, 2 ],
[ 10, 8, -8, 6, -5, 6, -1, 4, 10 ],
[ 6, 3, -8, 3, 1, 5, -10, 10, -4 ],
[ 7, -1, 7, -8, 7, 0, -1, 0, 9 ],
[ 5, 8, 3, 5, -8, -10, 2, 6, -8 ],
[ 2, 3, -4, 8, 7, -2, 4, 3, -7 ],
[ 7, -8, 9, 5, 2, -2, -8, -2, -1 ],
[ 1, -8, 4, 4, -2, -7, -10, -10, -3 ],
[ 7, -8, 7, -9, -8, -4, 10, 0, -4 ],
[ 10, -4, 2, -10, 7, -7, -6, -8, -9 ],
[ 8, 2, 8, -8, 6, -7, -2, 3, 0 ],
[ 10, -10, -4, 3, 1, 4, 7, -2, -10 ],
[ 0, -7, 1, 10, 9, 5, 7, 0, 4 ],
[ 7, -6, -5, -10, 8, 5, -4, 4, 9 ],
[ 8, -6, 5, -2, -1, -7, -1, 3, 1 ],
[ -3, 0, 2, 8, -8, -6, 6, 4, -10 ],
[ 4, -8, 7, 4, 8, 1, -8, 6, -6 ],
[ -10, -3, -4, -1, 10, 4, -5, -6, 10 ],
[ 1, 1, 9, -6, -6, -8, -9, -7, -3 ],
[ 2, 0, 10, 0, 6, -4, -6, 7, -4 ],
[ 8, 3, 4, 4, 6, -1, -3, 1, -5 ],
[ 8, -1, -2, 9, 1, 5, -7, -10, -2 ],
[ 3, -8, 0, 6, -7, -4, 4, 2, 2 ],
[ 3, -1, -1, -10, -6, 2, -4, -3, 4 ],
[ -2, 6, 0, 8, 5, 6, 1, 1, 7 ],
[ -10, -4, -9, 3, 6, -8, -7, 6, -4 ],
[ 6, -8, 9, 4, -1, 10, 4, -8, -7 ],
[ 2, -5, 7, 2, -7, 5, 2, 0, -10 ],
[ -1, -6, 4, -3, -5, 9, 6, 5, 4 ],
[ -3, 9, -9, 2, -10, 5, -10, 5, 9 ],
[ -2, -3, 9, 0, 4, -8, -8, 8, 8 ],
[ -2, -8, 8, 6, -2, 2, 9, 6, -9 ],
[ -8, -9, -5, 6, 9, -3, 2, -9, -8 ],
[ 10, -10, -10, 10, 2, 6, -6, -1, 3 ],
[ -3, -8, -3, 10, 4, -1, -10, 0, 10 ],
[ 6, 2, -5, -9, -4, -9, 8, 3, 0 ],
[ -7, 8, 9, 1, 5, 9, -1, 2, 0 ],
[ 0, 3, 9, -1, -5, 7, -1, -7, 2 ],
[ -8, -2, -9, 7, 5, 4, 1, 3, 9 ],
[ 0, 10, -2, 9, -6, 5, 4, 4, 3 ],
[ -7, 3, -9, 7, -2, 1, 10, 7, -10 ],
[ -2, -2, 2, 10, -2, -6, 1, 9, -8 ],
[ 8, -1, 8, -9, -1, -5, 8, -6, 9 ],
[ 0, 6, -9, 0, -9, -1, 1, 3, -6 ],
[ -10, 7, -9, 8, 6, 3, -2, -9, -9 ],
[ 7, -5, -5, 7, 1, -10, 9, 10, 6 ],
[ -3, -5, 1, 1, 6, -6, -7, -2, -8 ],
[ 4, -5, -7, 1, -6, -4, -4, 2, 10 ],
[ 1, -8, -7, -10, 7, 9, 1, -6, 0 ],
[ -9, 10, 4, -8, 5, -4, -8, -10, -8 ],
[ 10, -2, -3, 1, 7, -2, -1, -2, -2 ],
[ 1, 8, -1, 4, -5, -8, 4, 0, -8 ],
[ -2, 8, 6, 3, 2, -7, 8, 1, -1 ],
[ 7, -7, 3, 7, 9, -4, 9, -2, 6 ],
[ 3, 5, -5, 0, 8, 4, 8, 2, 3 ],
[ 10, -9, -4, 10, -8, 4, 1, -7, -2 ],
[ 3, 7, 1, 1, 1, 1, -2, 0, 4 ],
[ 8, 1, -5, -2, 0, -8, 4, 10, 6 ],
[ -10, -2, 9, -5, 0, -5, -2, -8, -5 ],
[ -7, 10, -1, 1, 8, -3, 7, -4, -6 ],
[ -1, 10, 10, 4, -5, -1, -7, -1, 8 ],
[ 1, -7, -6, 10, -9, -9, -1, 2, 2 ],
[ 2, -5, -9, -3, -10, -7, -7, -1, 5 ],
[ -7, -4, -9, 4, -1, 7, -10, -10, 6 ],
[ 0, -7, 9, 5, -1, -1, 10, 0, -7 ],
[ -10, -9, 0, -1, 10, 8, -4, 10, 6 ],
[ -8, 3, -4, 5, 2, 1, 4, -3, 3 ],
[ 6, -3, -2, -9, -5, -5, -6, 7, 4 ],
[ 6, -9, -5, -6, -4, -1, -3, 4, 9 ],
[ -6, 0, -10, 8, 6, 1, -7, 1, 2 ],
[ -1, -8, 9, 9, -9, -8, 5, 0, 7 ],
[ -8, 5, -1, 5, -9, 3, -9, -5, 8 ],
[ -5, -5, 1, -9, 3, 7, 8, 10, 10 ],
[ 9, 4, -10, -5, -10, 2, -1, 1, -10 ],
[ -6, -6, -9, -9, 3, 5, -7, 8, -3 ],
[ 10, -5, 0, -7, 1, 4, 0, -10, 1 ],
[ 7, 9, 9, 9, -4, -5, 7, 10, 5 ],
[ 3, 7, -9, -7, 10, 3, 6, 9, 10 ],
[ -1, 6, 3, 4, -6, -1, -5, 5, -10 ],
[ -4, -5, -4, 2, -2, 8, -2, 9, 6 ],
[ -10, 10, -8, -4, 10, 0, -8, -1, -3 ],
[ -10, 4, 1, 9, 5, -1, -10, 1, -8 ],
[ 2, -3, 0, -5, -5, -1, 0, 5, -2 ],
[ 8, -10, -9, 4, -7, -6, 8, 7, 3 ],
[ -5, 2, -10, 7, -2, 2, 7, -4, 7 ],
[ -8, -4, 3, -4, 0, -1, -3, 8, -1 ],
[ 7, 7, 5, 0, -4, -10, -7, -3, 3 ],
[ -9, 8, 6, 3, 1, 1, 5, -6, -4 ],
[ 7, -5, -7, 8, -8, -9, 2, 10, 4 ],
[ 10, -7, -10, 1, -6, 3, -7, 4, 9 ],
[ -10, -3, 4, -10, -6, 0, 8, 3, 7 ],
[ -10, -2, 5, -9, 9, 4, -2, 1, 0 ],
[ -5, 10, 4, -1, -3, 7, -10, 4, 8 ],
[ -10, 0, -7, 5, -2, 6, 9, 7, 10 ],
[ -1, 8, -10, -2, 9, 10, 5, 0, -4 ],
[ -7, -1, -10, 9, 5, -10, 1, 9, 9 ],
[ -5, 10, -1, 4, -4, -7, 3, 2, 0 ],
[ 2, -2, -8, -1, -6, 7, -4, 1, 3 ],
[ 7, 6, 7, -9, -4, 9, -9, 6, 5 ],
[ -8, -2, -4, 2, -2, 0, -2, 8, 8 ],
[ -6, 2, -2, 4, -10, 4, 9, -10, 0 ],
[ -1, -10, -9, 0, 10, 0, -9, 10, 6 ],
[ -5, 3, 2, 3, 5, -7, 2, 5, 10 ],
[ -1, -4, 5, 5, 9, -10, -2, -5, 10 ],
[ 7, -8, 10, 7, -5, -8, -2, 10, 3 ],
[ -3, 4, -7, 0, 4, 4, -6, -8, 0 ],
[ -4, 8, 10, -2, 8, 8, 4, -9, -10 ],
[ -7, 7, -4, -9, 10, 9, 6, 3, -7 ],
[ -2, 1, -8, -4, -9, 5, 2, -7, 5 ],
[ -10, -2, -5, 7, 10, -5, 2, 1, 8 ],
[ -6, -5, -5, -3, -10, 4, -4, 7, 9 ],
[ 9, 5, -6, 9, 9, -2, -4, 1, 5 ],
[ -5, -1, 3, -8, 2, 0, 10, 6, -2 ],
[ 7, 2, 0, 10, -6, -5, -10, 9, -9 ],
[ -9, -8, -9, 10, 1, 5, -9, -5, -1 ],
[ 9, 7, 10, 2, -10, -7, 3, -8, -8 ],
[ 3, 0, -10, -2, -4, 1, 8, 0, 0 ],
[ 0, 4, -3, 1, 0, -1, -2, 3, 0 ],
[ 9, 3, -7, 10, 3, -5, 4, 1, 7 ],
[ 3, 0, -8, 6, -7, 0, -6, -4, 3 ],
[ 8, 3, -2, -3, 4, 5, -4, -2, 5 ],
[ -9, 5, -4, -8, -10, -1, -9, 7, -8 ],
[ -3, 2, -1, -1, -7, -1, -7, 4, 0 ],
[ -3, 7, -7, -1, 7, 3, 8, 4, -6 ],
[ 7, 10, -10, -9, 8, -2, -1, -5, 8 ],
[ -1, -1, -6, 9, -7, 5, 1, 7, -10 ],
[ -9, -6, 8, -3, -6, 5, -5, -5, -1 ],
[ -5, 2, -8, 5, -10, 6, -8, 8, 10 ],
[ 5, -2, -2, -2, -8, 1, -6, 2, -3 ],
[ 3, -5, 1, 4, 3, 2, 0, 1, 1 ],
[ 2, 6, -6, 7, -5, 10, -7, -5, -2 ],
[ -7, -7, 5, -9, -2, 1, -1, -3, -1 ],
[ 0, -3, 2, 7, -3, 6, 7, 4, -1 ],
[ -4, -8, 4, 8, 5, 3, -9, 7, -2 ],
[ 4, 8, -10, -3, -9, 1, -6, 1, 8 ],
[ 5, 4, 9, 3, 3, -3, -2, 10, -5 ],
[ 0, -6, -8, 0, -4, 8, -5, 5, -5 ],
[ -6, 9, 3, -7, -3, 6, -6, -6, 7 ],
[ 3, -4, 0, 7, 6, -10, 10, 10, 4 ],
[ -3, -3, -10, -1, 3, -2, 0, 1, -3 ],
[ -2, -7, 7, 3, -2, -6, -5, 5, -10 ],
[ -2, 1, -2, 8, 1, -6, 8, -1, 1 ],
[ -5, 3, -3, -3, -9, 9, 0, 0, -1 ],
[ 6, 4, 7, 3, -10, 5, -2, 1, 9 ],
[ 5, -2, -9, 10, -6, 5, 6, -2, -8 ],
[ 0, 4, 10, -2, -10, 6, 1, 8, 5 ],
[ -8, -3, -4, -2, -5, 1, 6, -6, -4 ],
[ -7, -7, -1, -10, 7, 0, 5, 4, -4 ],
[ 2, 5, 9, -8, 3, -10, 5, 2, -1 ],
[ 4, -4, -9, -10, -3, -7, -9, -8, 10 ],
[ 6, 4, 0, -6, 3, 0, 6, 5, 1 ],
[ -1, 0, 7, 7, -1, 1, -2, 6, -1 ],
[ 4, 0, -7, -6, -3, 9, -6, 3, 1 ],
[ -10, 4, -8, 0, -10, 3, 6, -5, 1 ],
[ 3, 3, 3, 4, 5, 6, 10, -2, -10 ],
[ 9, 8, -5, 2, -1, 3, 9, -10, 5 ],
[ -3, 7, 6, -10, -7, 2, 3, -1, -1 ],
[ 0, 5, -2, -1, 2, 3, 6, -10, -4 ],
[ -1, 2, -5, 2, -3, -6, 2, 8, -10 ],
[ 0, -7, 1, -8, 0, 8, -4, -5, -5 ],
[ -8, 10, -5, -2, -3, 10, 1, -9, -7 ],
[ -1, -5, 0, 4, 10, 3, -7, 3, 0 ],
[ -5, 4, -10, 7, -10, 2, -6, 1, 9 ],
[ -3, -10, 4, -7, 7, 6, -9, -8, -10 ],
[ -5, 4, 0, 0, -2, -1, -9, -3, 7 ],
[ 2, -10, 6, 8, -9, 2, -6, 9, 0 ],
[ -2, -2, -2, 10, -10, 8, 0, -2, 5 ],
[ 4, -4, 0, 5, 5, -8, 7, -7, 7 ],
[ 5, -9, 3, 0, 1, -2, 7, -2, 1 ],
[ -7, 5, -3, 9, 8, 8, 3, -6, 9 ],
[ -8, -10, 8, 3, 5, -9, -4, -6, -9 ],
[ 3, 1, 1, -7, -4, 3, -9, 2, 9 ],
[ -7, -9, 4, 4, 4, 6, 4, 5, -3 ],
[ -3, 5, 9, 4, 0, 3, -8, 8, 2 ],
[ -7, 3, 8, 4, -1, -9, 1, 7, -10 ],
[ 9, -9, 7, -6, 6, -4, 1, 3, -10 ],
[ 7, 8, -9, -2, 2, -5, -8, -6, -4 ],
[ -1, 0, 2, -3, -3, 4, -4, -2, -4 ],
[ -1, -1, 10, 10, -1, -10, -1, 5, 10 ],
[ 6, 1, 9, 2, -9, 3, -9, -8, 5 ],
[ -6, -8, -10, 10, 0, 7, 0, -9, -4 ],
[ -7, 6, 4, 8, 1, 2, 6, 6, 0 ],
[ -9, 1, 3, -5, -8, -10, 8, -6, 7 ],
[ 0, 0, 0, 7, 2, 0, -1, -5, 1 ],
[ -8, 7, 10, 2, -5, 9, 10, -1, 10 ],
[ -3, 2, -2, 5, -4, -10, -3, 7, -8 ],
[ 8, 0, 2, 4, -8, -9, -7, -7, -8 ],
[ 7, -6, 5, 4, 6, -8, 3, -6, -4 ],
[ 7, 3, 5, 0, -7, 4, -10, 5, -2 ],
[ 9, 4, -9, -1, -2, 6, -8, -8, -3 ],
[ 3, -8, 1, -8, 3, 3, 0, 6, 10 ],
[ -4, 9, 4, 4, 1, -10, 2, 6, -2 ],
[ -5, -2, 0, -2, -5, 1, -6, 9, 5 ],
[ 6, -10, 10, -8, 2, 5, -1, -7, -3 ],
[ 9, -6, -1, 10, -8, -2, -8, -5, -4 ],
[ 8, -5, -6, 3, 8, 6, -2, -9, 1 ],
[ 1, -7, -8, 8, 6, 5, -2, 6, -5 ],
[ -1, -6, 10, 10, 10, -4, -6, -3, 3 ],
[ -5, 10, -5, -9, 3, 0, 8, 3, -7 ],
[ 0, 2, 10, -10, 5, 9, 4, -4, 3 ],
[ 10, 2, -3, 6, 1, 10, 0, 4, 2 ],
[ -2, -3, -7, -4, -8, 9, -1, 6, -3 ],
[ 6, 2, -4, 0, -6, -8, -6, 7, -8 ],
[ 2, 1, -8, 7, -2, -10, 4, 8, -2 ],
[ 9, -5, -2, 1, -6, -9, 2, 6, 3 ],
[ 10, -9, 0, 9, -9, -2, 8, -1, 4 ],
[ 6, 1, 0, 6, 0, -3, -2, -1, -3 ],
[ -3, -9, -3, 0, 1, 4, -10, 0, 8 ],
[ -8, 3, 9, -10, 0, -6, 7, 10, 0 ],
[ -8, -1, -6, -9, -9, -8, 1, 10, 6 ],
[ -8, 2, 6, -9, 1, 8, 6, -3, 4 ],
[ 5, -4, 3, -5, 10, 10, -5, -5, 8 ],
[ -7, 9, 0, 9, -8, 0, 4, 2, 2 ],
[ 8, -6, 7, -7, -4, 0, 1, -8, 1 ],
[ -6, -8, -1, -10, 10, -4, -10, 6, -4 ],
[ 5, -4, 9, -9, -4, 5, -2, 6, -7 ],
[ 2, 2, -2, 5, -4, 3, 0, -1, -9 ],
[ 0, -8, -2, -8, 5, 7, -9, -10, 0 ],
[ -10, 1, 3, -5, -7, -4, 2, 5, -9 ],
[ 3, -2, 6, -8, -2, 6, 10, -7, 8 ],
[ 5, 3, 1, 9, 2, 6, -8, 6, 1 ],
[ -8, -1, -6, 5, 1, 0, 3, -2, -9 ],
[ 4, 1, 2, 5, 7, 1, 3, -1, 9 ],
[ 9, 2, 1, 7, 2, -10, -3, 7, 7 ],
[ 7, 0, 8, -8, 2, -5, 4, -9, -10 ],
[ 7, -7, 2, -2, -3, -1, 4, 5, -6 ],
[ -1, -7, -7, 1, 5, 7, -2, -3, -2 ],
[ 0, 10, 8, 6, -9, 7, -10, 8, -9 ],
[ 7, -8, 4, 7, -8, 8, 8, 9, -6 ],
[ 3, 10, -1, 10, 9, 0, 8, -6, -7 ],
[ 3, 10, 10, 1, 3, 1, -3, 3, 3 ],
[ -6, 3, -3, 8, 2, 2, 3, 1, 5 ],
[ 8, 1, -2, 9, 6, -2, -10, 4, -5 ],
[ -8, -3, -5, 5, 8, 4, 7, 9, -10 ],
[ 3, -7, 2, -4, 2, -10, -7, 4, 9 ],
[ 1, 0, -8, 2, 9, 6, -7, -10, -8 ],
[ 2, 2, 9, -4, 6, 6, -1, 3, 4 ],
[ -1, -3, 3, -7, 2, 1, -10, -1, -7 ],
[ 4, 8, -1, -5, -4, 4, -8, -1, -10 ],
[ 6, -3, 3, -1, -9, 0, -7, 10, 9 ],
[ 8, 4, 8, 6, -6, -9, -7, -10, 0 ],
[ -8, -4, 5, -9, 3, -5, 2, 1, -9 ],
[ -3, 0, 2, -2, -8, 8, 0, -9, 9 ],
[ 6, 5, 0, -5, -8, -8, -2, -10, -3 ],
[ 3, 7, 1, -3, -3, 9, -4, -1, 9 ],
[ 2, 6, 8, -10, 3, 3, -6, -9, 5 ],
[ -2, 1, -2, 0, -4, 0, -1, -4, 1 ],
[ 9, -3, 8, 5, -3, -6, -9, 0, -4 ],
[ -5, 1, -9, 8, -9, 1, 8, 0, 7 ],
[ 0, 1, 10, 9, 5, 5, 9, -6, 2 ],
[ 3, 8, -5, 3, 4, 8, -8, -6, -1 ],
[ 8, 0, 8, 6, 8, 1, 10, 7, 6 ],
[ 10, 8, -9, -2, 8, -2, 4, -3, -2 ],
[ -9, 3, 10, 3, 7, -9, -1, 4, 1 ],
[ 2, 5, -1, -6, -10, -6, -4, 5, -4 ],
[ -8, -4, -8, -8, -10, 1, -5, 10, 9 ],
[ 5, 9, 8, 2, 0, -4, -10, 9, 7 ],
[ -6, -9, 8, 3, 5, -8, 5, -1, -9 ],
[ 6, 8, -2, 7, -4, 3, -10, 10, 0 ],
[ 7, 4, -6, -7, 1, 9, -6, -3, -8 ],
[ 3, 4, -2, 3, 0, -5, 1, 0, 10 ],
[ -3, 10, -9, 1, 10, -6, -3, -6, 6 ],
[ -5, -9, -1, -1, 6, -5, 7, 1, -7 ],
[ -2, 0, 1, 8, 10, 2, 1, -7, 8 ],
[ 5, 5, -9, 1, 8, -1, 6, 5, 3 ],
[ -1, -8, 8, 4, -4, 1, -3, -10, -6 ],
[ -1, 9, -8, 3, 10, 9, -6, 10, 5 ],
[ 8, 3, 8, -1, -4, -8, -2, -5, 1 ],
[ 3, 4, 8, 1, -4, 6, -3, 6, -10 ],
[ -4, 10, -7, -5, -4, -1, 2, -7, 7 ],
[ -10, 5, 0, 8, -3, 8, -2, 5, -10 ],
[ 7, -2, -3, -9, 6, 7, -2, 5, -3 ],
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];

qilist := [
[ 0, 0, 4, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 3, 2, 2, -2, -2, 2, 0 ],
[ 0, 1, 0, 1, 1, 1, -1, 1, -4, -1, 2, -2, 0, 4, 0, 0, 3, -1, 1, 2 ]
];

ctp24data := [
<606,
[ 1, 2, 4, 66, -180, 28, -26, 17 ],
[ 0, 1, 1, 2, 1, 0, -3, 1, -5, -4, 1, -2, -1, 2, -1, 1, -3, -1, -2, 8 ],
1>,
<966,
[ 1, -7, -2, 16, -53, -46, -63, -2 ],
[ 1, 4, 1, 0, 1, -1, 2, -1, -2, -1, 1, -2, -1, 2, 1, 3, -1, -1, -2, 2 ],
1>
];
