Magma V2.19-8 Wed Aug 21 2013 00:56:07 on localhost [Seed = 2851058565] Type ? for help. Type -D to quit. Loading file "L13n1290__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n1290 geometric_solution 11.75319854 oriented_manifold CS_known -0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 1 2 3 0132 1230 0132 0132 1 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 0 0 0 0 0 -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 0.397963207889 0.803616212422 0 4 0 5 0132 0132 3012 0132 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 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 0.505127819772 0.999306717869 4 6 7 0 2103 0132 0132 0132 1 1 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 0 0 0 0 0 0 0 0 -1 0 1 15 0 -15 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 0.494288194656 0.667383225092 4 4 0 8 0132 1302 0132 0132 1 1 1 0 0 0 0 0 -1 0 0 1 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 -1 0 -16 0 0 16 0 1 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.397963207889 0.803616212422 3 1 2 3 0132 0132 2103 2031 1 1 0 1 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 0 1 -1 16 0 -15 -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 0.597112219000 0.797042749066 8 9 1 10 1023 0132 0132 0132 1 1 1 1 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 15 0 -15 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.558381770214 0.427588955640 9 2 11 10 3120 0132 0132 2031 1 1 1 1 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 -15 0 0 15 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.721946976904 1.253813303483 8 12 9 2 0132 0132 1302 0132 1 1 1 1 0 0 0 0 0 0 -1 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 0 0 0 0 -15 15 0 0 0 0 0 -16 16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.744098012557 0.744255654289 7 5 3 12 0132 1023 0132 1230 1 1 1 1 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 0 -16 16 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.505127819772 0.999306717869 7 5 12 6 2031 0132 0132 3120 1 1 1 1 0 0 0 0 0 0 0 0 -1 0 0 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 -16 1 0 15 15 -15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.115817200188 0.874202847078 12 6 5 11 2103 1302 0132 3120 1 1 1 1 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 0 -15 15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.891139256905 0.732253462790 10 11 11 6 3120 3201 2310 0132 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 0 0 0 0 0 0 -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 -0.305377602285 0.504275918150 8 7 10 9 3012 0132 2103 0132 1 1 1 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 0 0 -16 16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.523919938483 0.940816324760 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_11']), 'c_1001_10' : d['c_0110_6'], 'c_1001_12' : d['c_0011_10'], 'c_1001_5' : d['c_0011_2'], 'c_1001_4' : d['c_0011_2'], 'c_1001_7' : d['c_0110_6'], 'c_1001_6' : d['c_0101_11'], 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : d['c_0101_11'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_0011_10'], 'c_1001_9' : d['c_0110_6'], 'c_1001_8' : d['c_0101_0'], 'c_1010_12' : d['c_0110_6'], 'c_1010_11' : d['c_0101_11'], 'c_1010_10' : negation(d['c_0011_11']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_11']), 'c_1100_4' : negation(d['c_0101_0']), 'c_1100_7' : d['c_0101_9'], 'c_1100_6' : d['c_0011_11'], 'c_1100_1' : negation(d['c_0101_11']), 'c_1100_0' : d['c_0101_9'], 'c_1100_3' : d['c_0101_9'], 'c_1100_2' : d['c_0101_9'], 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0101_6']), 'c_1100_11' : d['c_0011_11'], 'c_1100_10' : negation(d['c_0101_11']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_10'], 'c_1010_6' : d['c_0011_10'], 'c_1010_5' : d['c_0110_6'], 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_11'], 'c_1010_1' : d['c_0011_2'], 'c_1010_0' : d['c_0101_1'], 'c_1010_9' : d['c_0011_2'], 'c_1010_8' : d['c_0101_10'], 'c_1100_8' : d['c_0101_9'], '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' : negation(d['c_0101_6']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_12']), 'c_0011_8' : d['c_0011_12'], 'c_0011_5' : d['c_0011_12'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_12']), 'c_0011_6' : negation(d['c_0011_2']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : d['c_0011_2'], 'c_0110_11' : d['c_0101_6'], 'c_0110_10' : d['c_0101_6'], 'c_0110_12' : d['c_0101_9'], 'c_0101_12' : d['c_0101_10'], 'c_0101_7' : d['c_0011_12'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_2'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_2'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_6'], 'c_0110_8' : d['c_0011_12'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0110_6']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_2, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_2, c_0101_6, c_0101_9, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 3 Groebner basis: [ t - 167619/32000*c_0101_9^2 + 55877/8000*c_0101_9 - 779449/128000, c_0011_0 - 1, c_0011_10 - 2*c_0101_9^2 + 2*c_0101_9 - 1, c_0011_11 + c_0101_9^2 - 1/2*c_0101_9 + 3/2, c_0011_12 - c_0101_9^2 + 3/2*c_0101_9 - 1/2, c_0011_2 - c_0101_9, c_0101_0 - 1, c_0101_1 + 1, c_0101_10 + c_0101_9^2 + 1/2*c_0101_9 - 1/2, c_0101_11 - c_0101_9 + 1, c_0101_2 + c_0101_9 - 1, c_0101_6 + 3*c_0101_9^2 - 3/2*c_0101_9 + 1/2, c_0101_9^3 - c_0101_9^2 + 3/4*c_0101_9 + 1/4, c_0110_6 - 1 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_2, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_2, c_0101_6, c_0101_9, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 553091699611/15514849*c_0110_6^6 + 3200526082533/31029698*c_0110_6^5 + 3038985569351/31029698*c_0110_6^4 + 2067168942667/124118792*c_0110_6^3 - 423393111445/35462512*c_0110_6^2 + 3123657740109/496475168*c_0110_6 + 1808554248713/248237584, c_0011_0 - 1, c_0011_10 - 288/19*c_0110_6^6 - 800/19*c_0110_6^5 - 752/19*c_0110_6^4 - 128/19*c_0110_6^3 + 102/19*c_0110_6^2 - 52/19*c_0110_6 - 63/19, c_0011_11 - 320/19*c_0110_6^6 - 720/19*c_0110_6^5 - 464/19*c_0110_6^4 + 52/19*c_0110_6^3 + 12/19*c_0110_6^2 - 81/19*c_0110_6 - 32/19, c_0011_12 + 408/19*c_0110_6^6 + 1108/19*c_0110_6^5 + 964/19*c_0110_6^4 + 99/19*c_0110_6^3 - 251/38*c_0110_6^2 + 301/76*c_0110_6 + 131/38, c_0011_2 + 352/19*c_0110_6^6 + 944/19*c_0110_6^5 + 784/19*c_0110_6^4 + 72/19*c_0110_6^3 - 74/19*c_0110_6^2 + 72/19*c_0110_6 + 39/19, c_0101_0 - 1, c_0101_1 + 1, c_0101_10 + 368/19*c_0110_6^6 + 904/19*c_0110_6^5 + 640/19*c_0110_6^4 - 18/19*c_0110_6^3 - 67/19*c_0110_6^2 + 97/38*c_0110_6 + 33/19, c_0101_11 + 352/19*c_0110_6^6 + 944/19*c_0110_6^5 + 784/19*c_0110_6^4 + 72/19*c_0110_6^3 - 74/19*c_0110_6^2 + 72/19*c_0110_6 + 58/19, c_0101_2 - 352/19*c_0110_6^6 - 944/19*c_0110_6^5 - 784/19*c_0110_6^4 - 72/19*c_0110_6^3 + 74/19*c_0110_6^2 - 72/19*c_0110_6 - 58/19, c_0101_6 + 480/19*c_0110_6^6 + 1232/19*c_0110_6^5 + 848/19*c_0110_6^4 - 116/19*c_0110_6^3 - 56/19*c_0110_6^2 + 169/19*c_0110_6 + 48/19, c_0101_9 + 352/19*c_0110_6^6 + 944/19*c_0110_6^5 + 784/19*c_0110_6^4 + 72/19*c_0110_6^3 - 74/19*c_0110_6^2 + 72/19*c_0110_6 + 39/19, c_0110_6^7 + 7/2*c_0110_6^6 + 9/2*c_0110_6^5 + 17/8*c_0110_6^4 - 1/16*c_0110_6^3 - 1/32*c_0110_6^2 + 5/16*c_0110_6 + 1/8 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_2, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_2, c_0101_6, c_0101_9, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 104061513728/228341997*c_0110_6^6 - 48943179776/228341997*c_0110_6^5 - 124829696/939679*c_0110_6^4 - 100565842432/228341997*c_0110_6^3 - 8668428032/76113999*c_0110_6^2 - 81516022400/228341997*c_0110_6 - 449364608/228341997, c_0011_0 - 1, c_0011_10 + 236/43*c_0110_6^6 - 154/43*c_0110_6^5 - 112/43*c_0110_6^4 - 373/86*c_0110_6^3 - 21/172*c_0110_6^2 - 845/344*c_0110_6 + 91/344, c_0011_11 + 501/43*c_0110_6^6 - 339/86*c_0110_6^5 - 350/43*c_0110_6^4 - 3523/344*c_0110_6^3 - 1187/688*c_0110_6^2 - 7187/1376*c_0110_6 - 2023/1376, c_0011_12 + 25/43*c_0110_6^6 + 49/86*c_0110_6^5 + 10/43*c_0110_6^4 - 607/344*c_0110_6^3 - 831/688*c_0110_6^2 - 463/1376*c_0110_6 - 355/1376, c_0011_2 + 310/43*c_0110_6^6 - 109/43*c_0110_6^5 - 220/43*c_0110_6^4 - 1149/172*c_0110_6^3 - 61/344*c_0110_6^2 - 2045/688*c_0110_6 + 207/688, c_0101_0 - 1, c_0101_1 - 1, c_0101_10 + 25/43*c_0110_6^6 + 49/86*c_0110_6^5 + 10/43*c_0110_6^4 - 607/344*c_0110_6^3 - 831/688*c_0110_6^2 - 463/1376*c_0110_6 - 355/1376, c_0101_11 - 310/43*c_0110_6^6 + 109/43*c_0110_6^5 + 220/43*c_0110_6^4 + 1149/172*c_0110_6^3 + 61/344*c_0110_6^2 + 2045/688*c_0110_6 + 481/688, c_0101_2 + 310/43*c_0110_6^6 - 109/43*c_0110_6^5 - 220/43*c_0110_6^4 - 1149/172*c_0110_6^3 - 61/344*c_0110_6^2 - 2045/688*c_0110_6 - 481/688, c_0101_6 - 481/43*c_0110_6^6 + 103/86*c_0110_6^5 + 358/43*c_0110_6^4 + 3863/344*c_0110_6^3 + 2999/688*c_0110_6^2 + 8743/1376*c_0110_6 + 3115/1376, c_0101_9 + 310/43*c_0110_6^6 - 109/43*c_0110_6^5 - 220/43*c_0110_6^4 - 1149/172*c_0110_6^3 - 61/344*c_0110_6^2 - 2045/688*c_0110_6 + 207/688, c_0110_6^7 - 1/2*c_0110_6^6 - 1/2*c_0110_6^5 - 7/8*c_0110_6^4 - 1/16*c_0110_6^3 - 17/32*c_0110_6^2 - 1/32 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 1.730 Total time: 1.940 seconds, Total memory usage: 32.09MB