
// 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 = 100             //
//                                                   //
///////////////////////////////////////////////////////

// We list data relating to 1000 randomly chosen (2,2)-forms
// with integer coefficients in [-H,H] where H = 100.

// 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 := [
[ 44, 92, 67, -30, -97, -30, -29, -49, 70 ],
[ -73, -10, -63, -62, -98, 43, -4, 28, -72 ],
[ -77, 53, -70, -25, -47, -28, -12, 7, 11 ],
[ -61, -84, 65, 59, -42, 76, -44, 69, 40 ],
[ 63, -45, -60, -95, -42, -94, 28, -13, -80 ],
[ 82, 93, 93, -23, -36, 6, -25, -3, 30 ],
[ -95, -71, -27, 75, 49, -63, 17, -80, -48 ],
[ 92, -29, -13, 47, 95, -18, 44, -65, 74 ],
[ 34, -52, 65, 66, -75, -87, -18, 38, -97 ],
[ 91, -3, 99, -86, -87, -60, 0, 29, -69 ],
[ 57, 34, 7, 83, 56, 12, -23, -13, -66 ],
[ 100, 55, 76, 23, -15, 83, -17, -92, -18 ],
[ 47, -18, -37, -39, -88, 93, 34, -70, -42 ],
[ -38, -50, 43, -70, -52, 47, -95, -29, 14 ],
[ 4, -4, 52, -98, -98, -53, 40, -84, -50 ],
[ 43, 65, 100, -25, -79, 84, -66, 38, -39 ],
[ -61, -44, -83, 88, 46, -49, 46, 74, 89 ],
[ 40, -15, -72, -10, -43, 51, -42, 31, -16 ],
[ 22, 45, -19, -60, -86, 71, -11, 88, 9 ],
[ -17, 87, -35, -70, -48, 25, 17, 8, -23 ],
[ 96, -73, -61, -12, 71, -56, -88, -86, 33 ],
[ 97, -20, 84, -14, 85, 94, 47, 83, -80 ],
[ -77, -68, 5, 81, -33, 65, -99, 92, -1 ],
[ 60, 8, -10, -97, 96, -86, 31, -74, 42 ],
[ -21, 7, 53, 60, 26, 91, 48, 75, 55 ],
[ -49, -75, 88, -42, 68, 66, -91, -42, 47 ],
[ -91, -79, 5, 75, 15, 85, 69, 92, 55 ],
[ -1, 88, -84, -31, -92, -99, -44, 76, -74 ],
[ -2, 34, 83, -44, -90, 57, 90, -19, -22 ],
[ -14, -50, 36, 30, 29, -70, -22, 65, 97 ],
[ -86, 23, 25, 13, 41, -23, -88, 92, -73 ],
[ 32, -2, 3, 6, -16, -98, 1, -91, -51 ],
[ 0, -98, -16, 79, 61, 31, 41, 21, -52 ],
[ 24, -17, 48, 42, 52, -7, -61, 97, -69 ],
[ 14, -58, 16, -18, 35, -29, 21, 34, 68 ],
[ 52, 45, -66, -75, 88, 35, 61, 74, 39 ],
[ 90, -62, -4, 87, 3, 8, 56, 5, 8 ],
[ 50, 13, -90, 56, -38, 80, -16, -31, 62 ],
[ 33, -8, 97, 75, 48, 86, 85, -83, -58 ],
[ 87, -38, 20, 11, 63, 73, -31, -89, 41 ],
[ -9, -20, -95, 78, 37, 32, 61, 33, -87 ],
[ 29, -26, 86, -77, -12, -11, 59, 81, -66 ],
[ 55, -36, -11, -36, -38, 51, 90, -62, 72 ],
[ 56, 37, -15, 57, 89, -96, -36, -24, -30 ],
[ 3, -87, -47, -53, 39, -78, 13, -50, -6 ],
[ 62, -10, -93, -68, -88, -18, 25, -87, 26 ],
[ 40, -63, 27, -48, -12, -100, 68, -89, 14 ],
[ 97, 47, -29, -96, 18, 74, -76, 92, -22 ],
[ 88, -9, 71, 1, 71, -46, 28, 7, -69 ],
[ -84, -25, 48, -82, 35, 65, -54, 32, 43 ],
[ 76, -82, 25, -4, 96, 68, -69, -74, -6 ],
[ 12, -22, -5, -21, -70, -86, -95, -11, -24 ],
[ 40, -53, 13, -89, 97, 14, -30, 39, -40 ],
[ 41, 97, 37, 97, 51, -44, 0, -5, -87 ],
[ -81, -10, -100, 52, 16, -1, 99, 52, -10 ],
[ 9, -13, 94, -18, -51, 62, 69, -33, 88 ],
[ 11, 49, 3, -48, 66, 27, 9, 70, -5 ],
[ -76, 6, 99, -18, 34, -91, 35, -63, 0 ],
[ 48, 89, -17, -38, 96, -38, 44, 41, -2 ],
[ 40, -10, 72, -9, -95, 20, -28, -6, -14 ],
[ -38, 94, -79, -96, 27, 63, -31, -3, -24 ],
[ 82, -99, -33, 82, -69, 16, 94, 50, -14 ],
[ -67, -97, 72, 10, 25, 2, -65, 11, 57 ],
[ 73, 48, -83, -93, 0, 45, 41, 3, 29 ],
[ 47, -6, 1, 98, -16, 95, 60, -41, -75 ],
[ 42, -65, 35, 20, 57, 31, 35, -10, 14 ],
[ 15, 90, -39, 4, -47, 82, 87, -67, -76 ],
[ 31, -92, 4, -60, -79, 77, 34, 4, -79 ],
[ -80, -31, -28, 56, 58, 50, 87, -15, 12 ],
[ 75, 65, -82, 31, 35, 44, 14, -86, 6 ],
[ -19, 71, -89, -63, -45, 14, 26, -86, -69 ],
[ 57, -89, -12, 68, 8, -43, -41, 37, -80 ],
[ -89, 95, -56, -95, 52, -2, 53, -25, 70 ],
[ -69, -100, 21, 99, -38, 90, -5, 35, -36 ],
[ -82, -40, -100, -51, -91, 89, -56, -65, 23 ],
[ -3, 65, -93, -66, 35, -84, -5, 54, -56 ],
[ 31, -16, -6, -81, 96, -94, 51, 61, -83 ],
[ -24, -58, 14, 49, -44, -43, 93, 70, -35 ],
[ 7, 21, -18, -60, 20, 82, 16, -54, 19 ],
[ 42, -28, 41, -55, -89, 83, 44, 32, -56 ],
[ -86, 90, 35, -1, -94, 85, -68, 25, -74 ],
[ 49, 62, 6, -71, -29, 64, 46, 46, -92 ],
[ 21, 24, 20, 55, -61, -51, 21, -99, 66 ],
[ -51, 61, 57, 53, -83, 13, -17, 93, 75 ],
[ -21, 10, 73, 98, 47, 100, 65, 56, -75 ],
[ -15, -46, 85, -22, 63, 79, -8, 37, 18 ],
[ 32, 79, -98, -80, 57, -88, -32, 67, -49 ],
[ -7, 93, -67, -27, 59, 81, 69, 60, -15 ],
[ -79, 70, 13, -97, -69, -54, 96, 43, 35 ],
[ 88, 29, 32, -2, -83, 69, -92, 83, 46 ],
[ 0, -85, -1, 27, -71, 19, 38, -14, -8 ],
[ 8, 74, 73, -97, 35, 91, 49, -40, 59 ],
[ 27, -70, 48, 55, -57, 1, 18, 18, -31 ],
[ 30, -63, 30, 64, 76, -80, 15, 54, 90 ],
[ -52, -84, -57, 49, -97, 82, 72, -21, -14 ],
[ 53, 98, -55, 61, -35, 32, -62, -13, 63 ],
[ 20, 53, 33, 23, -38, -57, 18, -50, 100 ],
[ 81, 10, -53, -7, -92, 62, 40, 34, -11 ],
[ 0, 70, 92, -34, -63, -71, 15, 21, -60 ],
[ -46, 4, -19, -37, -51, 24, 38, 78, -5 ],
[ 64, 100, 32, 70, 78, 40, 84, -18, 3 ],
[ 81, 58, -65, -85, 92, 33, 9, 85, -83 ],
[ 37, 87, 34, 17, 1, -80, -89, 42, 74 ],
[ 58, 100, 20, -26, -72, 13, -19, -32, -9 ],
[ 58, 27, 86, 47, 35, -70, -14, 17, 64 ],
[ 93, 19, 82, -83, 41, -90, 61, 57, -65 ],
[ -91, 4, -25, -65, -88, -48, -42, 3, -65 ],
[ 16, -60, 77, -84, -20, -89, 7, -82, -7 ],
[ 72, -95, -86, 86, 95, -40, -91, 34, 31 ],
[ 97, -37, -91, 100, 93, 27, -52, -80, 33 ],
[ -89, -21, -66, 5, -61, 51, -100, 33, 41 ],
[ 37, 19, -65, 57, -92, -41, 47, 64, -81 ],
[ -28, 70, 60, 26, 86, -90, -93, 53, -76 ],
[ -30, -12, 74, 55, 51, 40, 46, 14, 21 ],
[ -40, 43, -100, 63, -17, -55, 5, 20, 65 ],
[ 68, -90, 95, 69, 15, 28, 45, -91, -87 ],
[ 92, -57, -1, -73, 10, -24, 59, -76, 8 ],
[ 34, -5, -16, -24, -37, -66, -5, -43, 41 ],
[ -39, -78, 82, -90, 46, 66, -90, -51, 74 ],
[ 57, 9, 56, 38, 7, -89, -5, -6, 67 ],
[ -8, 56, -64, -6, -20, 45, -74, 25, 79 ],
[ -62, -17, -56, -92, 100, 38, -5, 100, -43 ],
[ 68, 75, 81, 93, 24, 73, 65, 64, 63 ],
[ 52, -53, 94, 6, 60, 7, 67, 11, -31 ],
[ 75, 33, -42, -64, -8, -77, -69, -4, -71 ],
[ 91, 14, 7, -60, -61, -33, -65, 81, 5 ],
[ -70, -15, 8, 76, 65, -22, -28, 21, -70 ],
[ -53, -29, -91, -59, 45, 84, 89, 82, -26 ],
[ 73, 76, 31, 92, 57, -84, 45, -84, 38 ],
[ 48, 71, 27, 17, -93, 40, 17, 24, -40 ],
[ -67, -98, 72, 12, 27, 49, 49, 85, -8 ],
[ -66, -28, -59, -42, 25, -82, 43, -70, 67 ],
[ -64, 4, 92, -97, 90, 79, 34, 19, 48 ],
[ 70, -72, 96, 65, -1, 81, 19, -80, -40 ],
[ -68, -96, 81, -3, -43, -79, 99, -34, 99 ],
[ -33, -99, 79, 94, -94, -93, -38, 60, -13 ],
[ -9, 43, 18, 63, 81, -13, -79, -34, -50 ],
[ -17, -19, -29, -2, -52, -78, 87, 58, -91 ],
[ 80, 5, -80, -92, -21, -70, -77, -27, 52 ],
[ 75, 85, -34, 90, -24, -47, 49, -64, 2 ],
[ -31, 80, -52, 77, 27, -20, -78, -69, -56 ],
[ 11, -88, 2, -95, 9, 44, 59, -92, 51 ],
[ 2, -69, 95, 81, 63, -26, -39, -20, -60 ],
[ 12, -13, 37, 6, -28, -61, 33, -43, -34 ],
[ 21, -16, -55, -88, 8, 43, 94, -68, -82 ],
[ 23, -14, 10, -29, -100, -86, -4, -51, -30 ],
[ 70, -65, 56, -8, -54, 19, -91, 22, 64 ],
[ 19, -11, -25, -13, 8, 0, 10, -31, 64 ],
[ -8, -39, 65, 26, -42, 89, -48, 41, -45 ],
[ -17, -76, -71, -17, 35, 42, 27, 29, -72 ],
[ 63, 30, -94, -65, -37, -48, -88, 18, 92 ],
[ 57, 1, -74, 64, -35, -96, -8, 72, -16 ],
[ -72, 34, -89, -11, -12, 43, -54, -57, -55 ],
[ 12, 41, -96, 3, -9, -26, 79, -23, 98 ],
[ -42, -11, 54, 84, 49, -35, -51, 45, -87 ],
[ -2, 48, 100, -31, 10, -34, -19, -43, -18 ],
[ -45, 6, -58, -22, -93, -55, 50, 94, 43 ],
[ 52, -56, 64, 51, -57, -15, -98, 37, 46 ],
[ 60, -67, 85, -2, -90, 80, 15, -23, -25 ],
[ 98, 97, 60, 21, -77, -76, 77, 71, 43 ],
[ -62, 72, -27, 5, 97, 92, 45, 97, 58 ],
[ -57, -94, 31, 58, 72, 5, 47, -63, 11 ],
[ -42, -16, -95, -59, -45, 68, -40, -46, 93 ],
[ -97, 94, -54, -57, -19, 2, 20, 69, 51 ],
[ 52, -40, -3, -35, 19, 84, 22, -53, 98 ],
[ 30, -28, 21, 19, 14, 51, 69, -29, -62 ],
[ -65, -15, 1, 55, 95, 39, -41, 13, 61 ],
[ -95, 66, -87, 74, -63, 70, -27, 67, -19 ],
[ -65, -64, -76, -24, -19, 3, 79, 72, -49 ],
[ -17, -41, -56, 42, -80, 79, -12, 48, 54 ],
[ -78, 99, -30, 7, -17, -97, -100, -86, -73 ],
[ 92, 72, 26, -84, 17, -35, 52, -70, 50 ],
[ 93, 40, 38, -49, -29, 17, -68, 30, 44 ],
[ 66, -79, 57, -13, -32, -36, -6, -36, 82 ],
[ 70, 19, -62, -54, 64, -16, -22, -25, 17 ],
[ 85, 82, -19, -82, 80, -56, 14, 89, -65 ],
[ 67, 52, -92, 7, 70, 30, -15, -22, 99 ],
[ -11, 11, -76, -2, 81, -31, -23, -12, 82 ],
[ 89, 95, 93, -12, 64, 92, 90, -23, -76 ],
[ -3, -21, 45, 79, 65, -21, 29, -47, -3 ],
[ 82, -57, -40, 80, -48, -28, 52, -100, -24 ],
[ 66, -13, -85, -91, 56, -90, -44, -57, -55 ],
[ 63, -16, -45, -43, -97, 32, 30, -15, -35 ],
[ 32, -61, -82, -25, -90, -9, 46, 91, -61 ],
[ -14, 73, 44, 56, -85, -47, -83, -16, 61 ],
[ 24, 95, -76, 94, 92, -68, -41, 20, 77 ],
[ -42, -96, 42, -21, -85, 8, 3, 53, -19 ],
[ -40, 16, 57, 88, 92, -65, 91, -55, 53 ],
[ -96, 36, -55, 87, 23, 97, -53, 21, -95 ],
[ -25, 4, 56, 37, -23, 13, -4, 58, -48 ],
[ 75, 39, 13, 13, -28, 86, 35, 69, 63 ],
[ -37, 59, 40, -74, 73, 14, 70, -3, 57 ],
[ -58, -90, 73, -30, -49, 29, -78, -77, -75 ],
[ -82, -78, 85, -60, -22, -93, -92, 26, -68 ],
[ -20, 51, 69, 93, -55, 2, -49, -78, -58 ],
[ -64, -67, 23, 52, -31, 94, 65, 28, -48 ],
[ -51, 96, -58, 69, 86, -48, 77, -11, 70 ],
[ -84, 24, 95, 93, 96, -53, -14, 60, 45 ],
[ 8, 38, 59, 85, -76, 33, 58, 70, 54 ],
[ -79, -57, -75, -29, -45, -42, -94, -11, -61 ],
[ -23, -20, 16, 8, 75, 26, 51, -100, -29 ],
[ -22, -96, -70, -26, -10, 37, -39, -24, 8 ],
[ 16, 33, 90, -13, 3, 69, 64, -43, 78 ],
[ -74, -94, -70, 19, 75, 61, -96, -4, -58 ],
[ 2, -27, 92, -54, -62, -51, 34, 65, -20 ],
[ -16, 76, -93, -87, -21, -92, 37, -20, 16 ],
[ -4, -15, 66, -50, -4, -58, 72, 31, 40 ],
[ 12, -49, 32, 0, -24, 93, -16, 70, 34 ],
[ -62, 72, -17, 85, 61, -47, 26, -88, -71 ],
[ -23, -36, 60, -59, -84, 23, 20, 65, 47 ],
[ -53, -92, 70, -44, -42, 71, 24, -60, 78 ],
[ -29, 37, -51, 21, 61, -58, 58, 83, -58 ],
[ 45, -71, -87, -58, -76, -71, 82, -67, -75 ],
[ 9, -97, 53, -64, 70, -20, 95, -39, 22 ],
[ 55, -62, 26, -74, -33, 14, -48, 67, 2 ],
[ 12, -14, 94, -27, 50, -12, 71, -67, -89 ],
[ -83, -62, 24, -5, -29, 46, 42, -26, -65 ],
[ -60, -27, 71, 68, 36, 51, 6, 33, 20 ],
[ 75, 24, 38, -53, 34, -21, -99, -14, 84 ],
[ -5, -22, 55, 29, 7, 80, 25, 42, -18 ],
[ -79, -37, -32, -22, -100, 21, 7, -1, -50 ],
[ 34, 18, -30, -52, -43, 80, 63, -62, 24 ],
[ -20, 23, -51, -8, -97, 20, 99, 40, 92 ],
[ -48, 92, 54, 41, 31, 29, -100, -14, -51 ],
[ -49, -2, -31, 40, 27, 57, 14, 8, 70 ],
[ -38, 50, -4, 55, 88, 32, -16, 48, -28 ],
[ 82, 22, 64, 93, -62, 6, 76, -37, -88 ],
[ 10, -41, -95, -15, 87, 48, 34, 35, 0 ],
[ 35, -30, 13, 17, 36, -49, -90, -6, 63 ],
[ -48, -75, -5, -86, -84, -99, 10, 39, -34 ],
[ -25, -59, -81, 29, 84, -60, 79, 74, 36 ],
[ 15, -18, 80, -49, 14, 10, -72, -95, 57 ],
[ 32, 87, 91, 20, -46, 4, -3, 33, 8 ],
[ 41, -92, 96, -1, 28, 88, -39, -74, -56 ],
[ -8, -92, -49, -83, 47, -73, -38, -15, -81 ],
[ 59, -1, 49, -100, -48, -23, 69, -10, 28 ],
[ -9, 55, 82, -57, 96, 34, 72, 62, -95 ],
[ -13, -32, -45, -67, -23, -52, 19, 36, -12 ],
[ 91, -65, -46, -62, -69, -15, 49, 37, -17 ],
[ 20, -61, 80, -63, -47, -81, -63, 43, -46 ],
[ 14, 47, 16, -82, 12, -14, 4, 55, -84 ],
[ -76, -28, 77, 10, -91, 63, -68, 34, -72 ],
[ -78, -3, -27, 24, -87, -48, -52, 9, 35 ],
[ -31, -60, 72, -83, 90, -56, 97, 32, 77 ],
[ 49, -59, -20, 96, 75, 60, 24, -51, -54 ],
[ -48, 71, -87, -82, -35, -33, -90, -75, 99 ],
[ 30, 4, 52, -55, 11, 30, -96, 49, -11 ],
[ 33, -75, 70, 40, -95, -22, -74, -11, -84 ],
[ -49, -40, 6, 60, -32, -75, 44, -20, -83 ],
[ 73, 2, 32, -48, -92, 59, -71, 24, -43 ],
[ 27, 27, 74, 58, 42, 49, -36, 81, 77 ],
[ 21, 86, 39, 52, 9, 77, 16, 15, 44 ],
[ -46, 19, -71, 11, -54, -55, -82, -8, 35 ],
[ 91, -94, -6, 81, -50, 14, -30, -57, -85 ],
[ 91, -71, 82, 22, -26, -16, 20, 6, 7 ],
[ -70, 67, -64, 87, -30, 2, 91, 18, 90 ],
[ -62, -91, -28, -61, -16, 39, -40, -41, 63 ],
[ 75, -20, 59, 88, 1, -38, 69, -54, 33 ],
[ 10, 34, -79, -96, 20, 93, 70, -41, -43 ],
[ -73, -55, 87, 81, 79, 100, -14, 58, 36 ],
[ -60, -47, 28, -50, 96, -1, -17, 95, -57 ],
[ 80, 19, -91, 36, -100, -28, 9, -44, 88 ],
[ -15, 71, 82, 57, -37, 61, 24, -87, 58 ],
[ 26, -25, -57, 39, 98, 58, -49, -10, -57 ],
[ 80, -88, 47, 53, 69, -35, -19, 86, -43 ],
[ -92, -50, 100, -60, 56, 23, 70, 51, 67 ],
[ 100, 1, 32, -19, 13, 90, 34, 19, 76 ],
[ 8, -36, 35, 29, -57, -57, -63, -77, 100 ],
[ 53, 93, -91, 34, -33, 87, 72, -56, 71 ],
[ 34, 36, 42, 37, -86, 37, -66, 93, -71 ],
[ -43, -65, -76, 82, 78, -34, 91, 49, 15 ],
[ -57, 18, 72, 35, -51, 87, 94, -64, -89 ],
[ 39, 38, -24, 84, -29, 97, -17, 68, 41 ],
[ -40, -43, 33, 70, -42, -51, 53, 3, 37 ],
[ 35, -16, 55, 16, 95, 98, -48, -6, 31 ],
[ 25, 37, 81, -86, -46, -10, -31, -16, -52 ],
[ -46, -21, 57, -55, 63, -79, -38, 27, 45 ],
[ -100, 31, 46, -37, -1, 39, -96, -51, -1 ],
[ 36, -9, 3, -11, 63, -86, 64, -6, 32 ],
[ 49, -72, 62, -15, 58, 44, 40, -79, -99 ],
[ -52, 50, 97, -71, -9, -71, 43, 42, -27 ],
[ -92, 11, 87, -92, -76, 49, 79, -3, -50 ],
[ 15, 98, -11, -16, -85, -12, -4, 22, -35 ],
[ -36, -85, -40, 31, 1, -65, -80, -45, 61 ],
[ 71, -81, -67, 48, 93, -40, 64, -73, -37 ],
[ -54, 18, -39, -41, 58, -78, -9, -43, -49 ],
[ 0, 0, -35, -52, 12, -88, 92, 89, 52 ],
[ 50, -14, 87, -14, 42, 80, -91, -13, 99 ],
[ 14, 60, 79, -16, -7, -100, 10, -81, 15 ],
[ 25, 26, -40, 32, 44, 65, -89, 41, 79 ],
[ 94, -45, -11, -78, 91, 24, 4, -34, 53 ],
[ 96, 53, 16, -71, 89, 30, -92, 37, -2 ],
[ -3, -17, 50, 27, 20, -48, -47, 62, 39 ],
[ -73, -52, 81, 72, 20, -96, -47, 84, -4 ],
[ -38, -55, 58, 76, 42, 30, -77, -87, 94 ],
[ -30, -85, 78, 46, 82, -63, 97, 83, 19 ],
[ 73, -69, -83, 12, 22, 69, 100, 17, -48 ],
[ -90, -70, -23, 52, 63, 30, -89, -78, -20 ],
[ -49, -25, -52, -57, 49, -57, 52, 52, 29 ],
[ -41, -23, -86, -60, 53, 43, 75, 49, 35 ],
[ -19, 72, 70, 43, -90, 92, 52, 8, 77 ],
[ -12, -98, 30, -3, 3, 83, 25, 69, 66 ],
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3947195527477732511854178238911397552624413822962576 ]>,
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];

qilist := [
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[ 3, 0, 4, 1, -3, 1, 3, 3, -17, 6, 2, 14, 2, 2, 5, -3, -3, 10, 0, 10 ],
[ 0, 4, 0, 3, 1, 5, -4, -3, -9, 5, 1, -4, 11, 3, -12, 10, 5, 3, 4, -8 ],
[ 0, 4, 0, 5, 1, -3, 3, 5, -10, -15, 1, -1, 7, 14, 0, -6, 12, 3, 9, -4 ],
[ 0, 3, 2, 6, 4, 2, -2, 4, -3, 4, 3, 7, -7, 0, 0, -1, -2, 4, 4, 9 ],
[ 0, 6, 1, 12, 2, 4, -3, 6, 10, 7, 8, 2, 13, 5, -4, -3, -10, -4, -2, -2 ],
[ 0, 3, 3, 10, 1, 5, -1, -4, -2, 9, 5, 1, -12, 7, 1, -4, 1, 13, 15, 9 ],
[ 1, 1, 1, 2, -1, 2, -4, 2, 4, 2, 6, -5, 1, 13, -12, -1, 10, 7, 2, -11 ],
[ 4, 5, 5, 2, 5, 1, -2, 7, -2, -9, 2, -2, -9, 10, 0, 7, 3, 1, 0, 5 ],
[ 1, 2, 2, 6, -3, -1, -5, -4, 8, -6, 0, 10, -3, 2, 3, -10, -3, -4, 1, -4 ],
[ 1, 1, 1, 2, 1, -4, 4, 1, 5, -3, 0, 6, -4, 12, 1, -8, -8, -5, 3, 3 ],
[ 0, 7, 3, 3, 2, -1, 4, 5, 2, -9, 4, 10, -3, 0, 4, 12, 5, 8, 4, 4 ],
[ 0, 8, 2, 3, 1, 6, -3, 1, -6, -3, 3, -6, 1, -2, 2, 13, -3, -5, 3, 14 ],
[ 0, 0, 1, 2, 1, 4, -7, 2, 0, -2, 6, 14, -9, 5, 1, 6, 8, 6, 7, -6 ],
[ 0, 5, 9, 1, 2, -3, -3, 7, 7, 8, 3, -4, -2, -5, -1, 11, -10, 1, 4, 2 ],
[ 0, 5, 10, 2, 1, 0, 2, 1, -5, -6, 1, -2, 6, -9, 1, 7, 2, -2, -6, -3 ],
[ 1, 1, 3, 4, 1, 2, -5, -2, -3, -6, 0, -3, -1, 5, 4, -9, -5, 7, -13, 0 ],
[ 1, 8, 0, 10, -1, 3, 3, 2, -1, 4, 1, 6, 5, -6, 3, 6, -4, 2, 8, 2 ],
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[ 0, 1, 7, 6, 2, -4, -2, 4, -2, 5, 11, 11, 3, 5, -2, 8, -3, 8, 3, -14 ],
[ 1, 2, 7, 5, -3, 0, 1, -7, 15, -15, 0, 2, -10, 5, 3, 11, -7, 8, -15, -9 ],
[ 2, 7, 3, 2, 2, -2, 4, 5, -5, -6, 2, 6, 9, -6, 5, -1, 2, 9, -4, 14 ],
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[ 0, 9, 2, 4, 0, -4, 9, 2, 1, -3, 3, 2, 1, 5, 12, 0, -9, 3, 1, -3 ],
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[ 0, 8, 2, 1, 0, 6, 8, 2, -2, 6, 1, 7, -4, 0, -3, -5, 7, 1, 9, -6 ],
[ 2, 0, 6, 6, -2, 1, -8, -4, -6, 10, 2, 3, 1, 6, 5, -1, -13, -1, 11, -4 ],
[ 0, 6, 2, 3, 3, 0, 10, -4, -2, 9, 4, 0, 7, -8, 3, -5, -15, 1, -2, 10 ],
[ 0, 3, 2, 3, 0, 1, 0, 1, 2, 7, 3, -3, -17, 17, 4, -3, -4, 13, -7, -6 ],
[ 1, 3, 2, 1, -1, -6, -8, 3, 9, -6, 0, 4, 3, 10, 4, 11, -2, -6, -3, 0 ],
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[ 1, 4, 7, 3, -3, -7, 6, 4, -2, -7, 1, 6, 4, -8, 5, -1, 4, -7, -6, -7 ],
[ 0, 1, 0, 12, 2, 10, 8, 2, -5, -5, 1, 1, 1, -2, 0, -6, -17, -3, 5, -17 ],
[ 1, 0, 1, 1, 1, 4, 3, 1, 1, 2, 1, 2, -2, -12, 2, 0, 8, 2, -6, 1 ],
[ 0, 1, 1, 4, 0, -3, 8, 2, 6, -16, 1, -2, -2, 0, -4, -3, -7, 2, -48, -9 ],
[ 1, 1, 1, 10, -3, -7, -6, -4, 6, -4, 2, 5, -13, -5, -1, -8, 1, -1, 2, 5 ],
[ 2, 2, 4, 6, -3, -4, 6, -3, -5, -8, 1, -7, -7, -8, 4, -3, -1, 4, -8, 2 ],
[ 0, 0, 6, 5, 3, 2, 3, 5, -3, 6, 6, 11, 2, 0, -12, 5, 10, 3, 0, 2 ],
[ 1, 2, 2, 5, -2, -6, 1, 3, -3, -7, 3, -4, -8, -5, 1, -7, -16, 1, 12, -13 ],
[ 3, 3, 6, 9, 3, -2, 0, 7, -5, -10, 1, 3, -4, 3, -6, -7, -1, -3, 18, 3 ],
[ 2, 6, 6, 3, 2, -5, 3, 2, 8, -4, 3, 4, 0, 7, -3, 9, 5, 9, 0, -8 ],
[ 1, 1, 2, 1, -2, 5, 4, -5, 1, -8, 4, 7, 6, 3, -4, -2, -4, -1, -1, -3 ],
[ 0, 3, 1, 4, 1, -1, -11, -2, -3, 3, 3, 3, -3, 6, -10, 9, -7, 1, 9, -6 ]
];

ctp24data := [
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],
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1>,
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0>,
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1>,
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