Magma V2.19-8 Mon Sep 9 2013 19:25:45 on localhost [Seed = 1278232274] Type ? for help. Type -D to quit. Loading file "10^2_36__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^2_36 geometric_solution 15.11002954 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 16 1 2 3 1 0132 0132 0132 2103 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 1 0 -1 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.580479346640 0.595718191211 0 4 5 0 0132 0132 0132 2103 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.580479346640 0.595718191211 6 0 8 7 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 1 0 -1 0 1 -1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.419520653360 0.595718191211 8 4 8 0 1302 1230 0321 0132 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.383672870431 0.787490234452 7 1 3 9 1023 0132 3012 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.160958693280 0.861067964751 10 9 10 1 0132 0132 3120 0132 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.790239673320 1.122138195207 2 11 12 10 0132 0132 0132 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 -1 0 0 1 1 -1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.839041306720 0.861067964751 13 4 2 12 0132 1023 0132 0321 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.604880163340 0.561069097603 14 3 3 2 0132 2031 0321 0132 0 0 0 1 0 0 0 0 0 0 -1 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 1 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000000000 1.026252173587 15 5 4 12 0132 0132 0132 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.444321455712 0.412139549801 5 6 5 15 0132 1302 3120 3012 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 -1 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.790239673320 1.122138195207 13 6 15 15 1023 0132 3012 1023 0 1 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -2 1 0 -1 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.616327129569 0.787490234452 14 7 9 6 2103 0321 1230 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.111357088576 0.824279099601 7 11 14 14 0132 1023 2310 2103 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.111357088576 0.824279099601 8 13 12 13 0132 3201 2103 2103 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.419520653360 0.430533982375 9 11 10 11 0132 1230 1230 1023 1 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 -1 -1 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.383672870431 0.787490234452 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_15' : d['c_0101_5'], 'c_1001_14' : d['c_0011_12'], 'c_1001_11' : d['c_0011_10'], 'c_1001_10' : d['c_0101_12'], 'c_1001_13' : d['c_0101_11'], 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : negation(d['c_0101_12']), 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_7' : d['c_0101_4'], 'c_1001_6' : d['c_0101_9'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0101_4'], 'c_1001_3' : d['c_1001_12'], 'c_1001_2' : d['c_0011_3'], 'c_1001_9' : d['c_1001_1'], 'c_1001_8' : negation(d['c_0101_0']), 'c_1010_13' : d['c_0101_11'], 'c_1010_12' : d['c_0101_9'], 'c_1010_11' : d['c_0101_9'], 'c_1010_10' : negation(d['c_0101_15']), 'c_1010_15' : d['c_0101_11'], 'c_1010_14' : negation(d['c_0101_11']), 's_3_11' : d['1'], 's_3_10' : d['1'], 's_3_13' : d['1'], 's_3_12' : d['1'], 's_0_14' : d['1'], 's_0_15' : d['1'], 'c_0101_13' : negation(d['c_0011_12']), 'c_0101_12' : d['c_0101_12'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_1'], 'c_0101_15' : d['c_0101_15'], 'c_0101_14' : d['c_0101_12'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : negation(d['1']), 's_2_6' : d['1'], 's_2_7' : negation(d['1']), 's_2_12' : d['1'], 's_2_13' : d['1'], 's_2_10' : negation(d['1']), 's_2_11' : d['1'], 's_2_14' : d['1'], 's_2_15' : d['1'], 's_0_6' : negation(d['1']), 's_0_7' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_15' : negation(d['c_0011_10']), 'c_0011_14' : d['c_0011_14'], 'c_1100_9' : negation(d['c_1001_12']), 'c_0011_10' : d['c_0011_10'], 'c_0011_13' : negation(d['c_0011_0']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_1']), 'c_1100_4' : negation(d['c_1001_12']), 'c_1100_7' : d['c_1001_12'], 'c_1100_6' : d['c_0101_15'], 'c_1100_1' : negation(d['c_0101_1']), 'c_1100_0' : negation(d['c_0101_0']), 'c_1100_3' : negation(d['c_0101_0']), 'c_1100_2' : d['c_1001_12'], 'c_1100_14' : negation(d['c_0101_6']), 'c_1100_15' : d['c_0101_5'], 's_0_10' : negation(d['1']), 'c_1100_11' : negation(d['c_0101_5']), 'c_1100_10' : negation(d['c_0101_5']), 'c_1100_13' : d['c_0011_14'], 's_0_11' : negation(d['1']), 's_0_12' : d['1'], 'c_1010_7' : d['c_0101_9'], 'c_1010_6' : d['c_0011_10'], 'c_1010_5' : d['c_1001_1'], 's_0_13' : negation(d['1']), 'c_1010_3' : d['c_0101_4'], 'c_1010_2' : d['c_0101_4'], 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : d['c_0011_3'], 's_2_8' : d['1'], 'c_1010_9' : negation(d['c_0101_12']), 's_3_14' : d['1'], 'c_1100_8' : d['c_1001_12'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_0101_15'], 's_1_7' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_10'], 'c_0011_8' : negation(d['c_0011_14']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : d['c_0011_0'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_11'], 'c_0110_10' : d['c_0101_5'], 'c_0110_13' : d['c_0101_6'], 'c_0110_12' : d['c_0101_6'], 'c_0110_15' : d['c_0101_9'], 'c_0110_14' : negation(d['c_0011_14']), 'c_1010_4' : d['c_1001_1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_3_15' : d['1'], 'c_1010_8' : d['c_0011_3'], 'c_0011_11' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0011_14'], 'c_0101_2' : d['c_0101_12'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(d['c_0011_14']), 's_1_15' : d['1'], 's_1_14' : d['1'], 's_1_13' : negation(d['1']), 's_1_12' : d['1'], 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_15'], 'c_0110_8' : d['c_0101_12'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_9'], 'c_0110_7' : negation(d['c_0011_12']), 'c_0110_6' : d['c_0101_12'], 's_2_9' : d['1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 17 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_14, c_0011_3, c_0101_0, c_0101_1, c_0101_11, c_0101_12, c_0101_15, c_0101_4, c_0101_5, c_0101_6, c_0101_9, c_1001_1, c_1001_12 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 119/5*c_1001_12^3 - 139/5*c_1001_12^2 - 729/5*c_1001_12 + 367/5, c_0011_0 - 1, c_0011_10 - 1/11*c_1001_12^3 + 2/11*c_1001_12^2 - 12/11*c_1001_12 + 7/11, c_0011_12 + 7/11*c_1001_12^3 + 8/11*c_1001_12^2 + 40/11*c_1001_12 - 27/11, c_0011_14 + 10/11*c_1001_12^3 + 13/11*c_1001_12^2 + 65/11*c_1001_12 - 26/11, c_0011_3 - 1/11*c_1001_12^3 + 2/11*c_1001_12^2 - 12/11*c_1001_12 + 7/11, c_0101_0 - 1, c_0101_1 + c_1001_12^3 + c_1001_12^2 + 6*c_1001_12 - 3, c_0101_11 - 7/11*c_1001_12^3 - 8/11*c_1001_12^2 - 40/11*c_1001_12 + 27/11, c_0101_12 - 7/11*c_1001_12^3 - 8/11*c_1001_12^2 - 40/11*c_1001_12 + 16/11, c_0101_15 - c_1001_12, c_0101_4 - 2/11*c_1001_12^3 - 7/11*c_1001_12^2 - 13/11*c_1001_12 + 3/11, c_0101_5 + 6/11*c_1001_12^3 + 10/11*c_1001_12^2 + 39/11*c_1001_12 - 9/11, c_0101_6 - 3/11*c_1001_12^3 - 5/11*c_1001_12^2 - 14/11*c_1001_12 + 10/11, c_0101_9 + 2/11*c_1001_12^3 + 7/11*c_1001_12^2 + 13/11*c_1001_12 - 3/11, c_1001_1 - 5/11*c_1001_12^3 - 1/11*c_1001_12^2 - 38/11*c_1001_12 + 24/11, c_1001_12^4 + c_1001_12^3 + 6*c_1001_12^2 - 4*c_1001_12 + 1 ], Ideal of Polynomial ring of rank 17 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_14, c_0011_3, c_0101_0, c_0101_1, c_0101_11, c_0101_12, c_0101_15, c_0101_4, c_0101_5, c_0101_6, c_0101_9, c_1001_1, c_1001_12 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 4142442/1625*c_1001_12^5 - 64010654/1625*c_1001_12^4 - 169903463/1625*c_1001_12^3 - 149910251/1625*c_1001_12^2 - 38485306/1625*c_1001_12 - 2927699/1625, c_0011_0 - 1, c_0011_10 + 68/5*c_1001_12^5 + 1076/5*c_1001_12^4 + 3172/5*c_1001_12^3 + 3394/5*c_1001_12^2 + 1344/5*c_1001_12 + 161/5, c_0011_12 - 34/5*c_1001_12^5 - 528/5*c_1001_12^4 - 1441/5*c_1001_12^3 - 1422/5*c_1001_12^2 - 527/5*c_1001_12 - 63/5, c_0011_14 + 22/5*c_1001_12^5 + 354/5*c_1001_12^4 + 1113/5*c_1001_12^3 + 1281/5*c_1001_12^2 + 556/5*c_1001_12 + 74/5, c_0011_3 - 34/5*c_1001_12^5 - 548/5*c_1001_12^4 - 1731/5*c_1001_12^3 - 1972/5*c_1001_12^2 - 817/5*c_1001_12 - 98/5, c_0101_0 - 1, c_0101_1 + 24/5*c_1001_12^5 + 378/5*c_1001_12^4 + 1096/5*c_1001_12^3 + 1177/5*c_1001_12^2 + 477/5*c_1001_12 + 53/5, c_0101_11 + 58/5*c_1001_12^5 + 916/5*c_1001_12^4 + 2677/5*c_1001_12^3 + 2804/5*c_1001_12^2 + 1049/5*c_1001_12 + 116/5, c_0101_12 + 34/5*c_1001_12^5 + 528/5*c_1001_12^4 + 1441/5*c_1001_12^3 + 1422/5*c_1001_12^2 + 527/5*c_1001_12 + 58/5, c_0101_15 + 58/5*c_1001_12^5 + 906/5*c_1001_12^4 + 2537/5*c_1001_12^3 + 2599/5*c_1001_12^2 + 1009/5*c_1001_12 + 121/5, c_0101_4 - 58/5*c_1001_12^5 - 906/5*c_1001_12^4 - 2537/5*c_1001_12^3 - 2599/5*c_1001_12^2 - 1009/5*c_1001_12 - 121/5, c_0101_5 + 1, c_0101_6 - 24/5*c_1001_12^5 - 378/5*c_1001_12^4 - 1096/5*c_1001_12^3 - 1177/5*c_1001_12^2 - 482/5*c_1001_12 - 58/5, c_0101_9 + 46/5*c_1001_12^5 + 722/5*c_1001_12^4 + 2059/5*c_1001_12^3 + 2113/5*c_1001_12^2 + 788/5*c_1001_12 + 87/5, c_1001_1 + 8*c_1001_12^5 + 124*c_1001_12^4 + 336*c_1001_12^3 + 333*c_1001_12^2 + 128*c_1001_12 + 16, c_1001_12^6 + 16*c_1001_12^5 + 99/2*c_1001_12^4 + 59*c_1001_12^3 + 30*c_1001_12^2 + 13/2*c_1001_12 + 1/2 ], Ideal of Polynomial ring of rank 17 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_14, c_0011_3, c_0101_0, c_0101_1, c_0101_11, c_0101_12, c_0101_15, c_0101_4, c_0101_5, c_0101_6, c_0101_9, c_1001_1, c_1001_12 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 136/325*c_1001_12^5 - 606/325*c_1001_12^4 - 536/325*c_1001_12^3 + 294/325*c_1001_12^2 - 82/65*c_1001_12 - 1667/650, c_0011_0 - 1, c_0011_10 + 18/13*c_1001_12^5 + 68/13*c_1001_12^4 + 49/13*c_1001_12^3 - 12/13*c_1001_12^2 + 59/13*c_1001_12 + 7, c_0011_12 - 36/13*c_1001_12^5 - 136/13*c_1001_12^4 - 98/13*c_1001_12^3 + 50/13*c_1001_12^2 - 92/13*c_1001_12 - 13, c_0011_14 - 24/13*c_1001_12^5 - 82/13*c_1001_12^4 - 48/13*c_1001_12^3 + 29/13*c_1001_12^2 - 70/13*c_1001_12 - 8, c_0011_3 + 30/13*c_1001_12^5 + 96/13*c_1001_12^4 + 47/13*c_1001_12^3 - 20/13*c_1001_12^2 + 81/13*c_1001_12 + 8, c_0101_0 - 1, c_0101_1 + 18/13*c_1001_12^5 + 68/13*c_1001_12^4 + 49/13*c_1001_12^3 - 12/13*c_1001_12^2 + 59/13*c_1001_12 + 6, c_0101_11 - 24/13*c_1001_12^5 - 82/13*c_1001_12^4 - 48/13*c_1001_12^3 + 29/13*c_1001_12^2 - 70/13*c_1001_12 - 8, c_0101_12 + 1, c_0101_15 - 14/13*c_1001_12^5 - 50/13*c_1001_12^4 - 41/13*c_1001_12^3 + 5/13*c_1001_12^2 - 43/13*c_1001_12 - 5, c_0101_4 - 56/13*c_1001_12^5 - 200/13*c_1001_12^4 - 138/13*c_1001_12^3 + 46/13*c_1001_12^2 - 159/13*c_1001_12 - 20, c_0101_5 + 14/13*c_1001_12^5 + 50/13*c_1001_12^4 + 41/13*c_1001_12^3 - 5/13*c_1001_12^2 + 43/13*c_1001_12 + 5, c_0101_6 + 36/13*c_1001_12^5 + 136/13*c_1001_12^4 + 98/13*c_1001_12^3 - 50/13*c_1001_12^2 + 92/13*c_1001_12 + 14, c_0101_9 + 42/13*c_1001_12^5 + 150/13*c_1001_12^4 + 97/13*c_1001_12^3 - 41/13*c_1001_12^2 + 129/13*c_1001_12 + 15, c_1001_1 + 18/13*c_1001_12^5 + 68/13*c_1001_12^4 + 49/13*c_1001_12^3 - 25/13*c_1001_12^2 + 46/13*c_1001_12 + 8, c_1001_12^6 + 5*c_1001_12^5 + 15/2*c_1001_12^4 + 5/2*c_1001_12^3 + 3/2*c_1001_12^2 + 17/2*c_1001_12 + 13/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 15.150 Total time: 15.369 seconds, Total memory usage: 297.34MB