Magma V2.19-8 Tue Aug 20 2013 17:56:44 on localhost [Seed = 1882309716] Type ? for help. Type -D to quit. Loading file "10^3_62__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^3_62 geometric_solution 10.84792502 oriented_manifold CS_known 0.0000000000000004 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 1 3 0132 0132 3120 0132 0 0 0 2 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 1 -1 0 0 -1 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 0.840811115409 0.568009333597 0 4 0 2 0132 0132 3120 2310 2 0 2 0 0 0 0 0 1 0 -1 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 -1 -1 3 0 -2 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.840811115409 0.568009333597 1 0 4 5 3201 0132 1302 0132 0 2 2 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 0 0 0 0 0 0 0 2 0 0 -2 0 1 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.454090572441 0.349368644940 5 4 0 6 1230 1302 0132 0132 0 0 2 0 0 0 0 0 0 0 0 0 0 0 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 -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 0.596103420360 0.317753006776 2 1 7 3 2031 0132 0132 2031 2 0 0 2 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 1 -1 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.820020940391 0.731275322689 8 3 2 9 0132 3012 0132 0132 0 2 0 2 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 2 -2 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.129756685901 0.436491069643 10 10 3 9 0132 1230 0132 0321 0 0 1 2 0 0 0 0 0 0 0 0 0 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 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 0.623702996841 0.593013240372 11 8 8 4 0132 2310 0321 0132 2 0 2 2 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 0 0 0 0 0 0 0 3 0 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.157920685208 0.800644193861 5 10 7 7 0132 0321 0321 3201 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.762871196768 1.202222490703 11 6 5 11 3201 0321 0132 1302 0 2 1 0 0 0 0 0 0 0 -1 1 -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 0 0 1 0 2 -3 2 1 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.762871196768 1.202222490703 6 11 6 8 0132 3120 3012 0321 2 0 2 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 0 1 0 0 -1 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.157920685208 0.800644193861 7 10 9 9 0132 3120 2031 2310 1 0 2 2 0 0 -1 1 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 -1 3 -2 0 0 0 0 0 1 0 -1 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.623702996841 0.593013240372 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : negation(d['c_0011_9']), 'c_1001_11' : negation(d['c_0011_10']), 'c_1001_10' : d['c_0011_10'], 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_7' : d['c_0011_11'], 'c_1001_6' : d['c_1001_6'], 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : negation(d['c_0011_3']), 'c_1001_3' : d['c_0110_4'], 'c_1001_2' : d['c_0110_4'], 'c_1001_9' : negation(d['c_0101_1']), 'c_1001_8' : negation(d['c_1001_6']), 'c_1010_11' : negation(d['c_0011_10']), 'c_1010_10' : negation(d['c_0011_11']), 's_0_10' : d['1'], 's_0_11' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : negation(d['c_0011_9']), 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : 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' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : 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_1100_5' : d['c_0101_11'], 'c_1100_4' : negation(d['c_1001_6']), 'c_1100_7' : negation(d['c_1001_6']), 'c_1100_6' : negation(d['c_0101_1']), 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : negation(d['c_0101_1']), 'c_1100_3' : negation(d['c_0101_1']), 'c_1100_2' : d['c_0101_11'], 's_3_11' : d['1'], 'c_1100_9' : d['c_0101_11'], 'c_1100_11' : d['c_0011_9'], 'c_1100_10' : negation(d['c_1001_6']), 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0101_5']), 'c_1010_6' : negation(d['c_0011_9']), 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : d['c_1001_6'], 'c_1010_2' : negation(d['c_0011_3']), 'c_1010_1' : negation(d['c_0101_5']), 'c_1010_0' : d['c_0110_4'], 'c_1010_9' : negation(d['c_0011_9']), 'c_1010_8' : negation(d['c_0011_11']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : 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'], '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' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_5']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : negation(d['c_0011_10']), '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_7'], 'c_0110_10' : d['c_0011_5'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0011_5'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_11'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0011_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_0'], 'c_0101_9' : negation(d['c_0101_7']), 'c_0101_8' : negation(d['c_0101_7']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_10'], 'c_0110_8' : d['c_0101_5'], 'c_0110_1' : d['c_0011_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_5'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : negation(d['c_0101_7']), 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0101_11'], 'c_1100_8' : d['c_0011_11']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_5, c_0011_9, c_0101_1, c_0101_11, c_0101_5, c_0101_7, c_0110_4, c_1001_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 386320791/15736448*c_1001_6^6 - 873940135/15736448*c_1001_6^5 - 1464779461/7868224*c_1001_6^4 - 4243124177/7868224*c_1001_6^3 - 19581509193/15736448*c_1001_6^2 - 10461553769/15736448*c_1001_6 - 1784907353/15736448, c_0011_0 - 1, c_0011_10 + 1, c_0011_11 + 671/2509*c_1001_6^6 + 1042/2509*c_1001_6^5 + 4362/2509*c_1001_6^4 + 11825/2509*c_1001_6^3 + 25813/2509*c_1001_6^2 + 852/2509*c_1001_6 - 1091/2509, c_0011_3 + 1692/2509*c_1001_6^6 + 2893/2509*c_1001_6^5 + 11003/2509*c_1001_6^4 + 30435/2509*c_1001_6^3 + 67446/2509*c_1001_6^2 + 3502/2509*c_1001_6 - 5892/2509, c_0011_5 + 300/2509*c_1001_6^6 + 335/2509*c_1001_6^5 + 1595/2509*c_1001_6^4 + 4382/2509*c_1001_6^3 + 8542/2509*c_1001_6^2 - 7778/2509*c_1001_6 - 671/2509, c_0011_9 - 2809/5018*c_1001_6^6 - 5353/5018*c_1001_6^5 - 9579/2509*c_1001_6^4 - 27281/2509*c_1001_6^3 - 121447/5018*c_1001_6^2 - 29857/5018*c_1001_6 + 5689/5018, c_0101_1 - 1, c_0101_11 - 300/2509*c_1001_6^6 - 335/2509*c_1001_6^5 - 1595/2509*c_1001_6^4 - 4382/2509*c_1001_6^3 - 8542/2509*c_1001_6^2 + 7778/2509*c_1001_6 + 671/2509, c_0101_5 - 1692/2509*c_1001_6^6 - 2893/2509*c_1001_6^5 - 11003/2509*c_1001_6^4 - 30435/2509*c_1001_6^3 - 67446/2509*c_1001_6^2 - 3502/2509*c_1001_6 + 3383/2509, c_0101_7 + c_1001_6, c_0110_4 - 1692/2509*c_1001_6^6 - 2893/2509*c_1001_6^5 - 11003/2509*c_1001_6^4 - 30435/2509*c_1001_6^3 - 67446/2509*c_1001_6^2 - 3502/2509*c_1001_6 + 3383/2509, c_1001_6^7 + 2*c_1001_6^6 + 7*c_1001_6^5 + 20*c_1001_6^4 + 45*c_1001_6^3 + 14*c_1001_6^2 - 2*c_1001_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB