Magma V2.19-8 Tue Aug 20 2013 23:45:12 on localhost [Seed = 2193942355] Type ? for help. Type -D to quit. Loading file "K13n2390__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n2390 geometric_solution 11.08049167 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 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 1 -1 0 0 0 0 0 -15 14 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.068031053770 0.747878920844 0 5 7 6 0132 0132 0132 0132 0 0 0 0 0 0 -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 14 -14 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 0.486181286902 1.020600682647 3 0 8 4 1023 0132 0132 2031 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 1 0 0 0 0 0 1 0 0 -1 14 -14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.149156794196 1.759178700153 5 2 6 0 0132 1023 2310 0132 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 -1 1 0 0 0 0 1 -1 0 0 0 -14 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.209458786045 0.432845459564 8 2 0 9 1302 1302 0132 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 1 0 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 1.661340143612 0.974607801980 3 1 10 9 0132 0132 0132 3120 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 15 0 -15 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.665485062844 1.217474826226 10 3 1 11 0132 3201 0132 0132 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 -14 14 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 0.373590062114 0.764375028757 8 11 10 1 0321 2103 0321 0132 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 15 -14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.689639463405 1.077554866521 7 4 11 2 0321 2031 2103 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 1 -1 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 0.370440729889 0.891005047406 5 11 4 10 3120 1302 0132 3201 0 0 0 0 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 1 -1 15 0 0 -15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.562430189271 1.355079297480 6 9 7 5 0132 2310 0321 0132 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.752441421529 0.872054875769 8 7 6 9 2103 2103 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 0 0 0 0 0 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 1.032492968163 1.046902451251 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_7'], 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : d['c_0011_4'], 'c_1001_7' : d['c_0011_11'], 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : negation(d['c_0011_9']), 'c_1001_0' : d['c_0011_4'], 'c_1001_3' : negation(d['c_0011_7']), 'c_1001_2' : d['c_0011_4'], 'c_1001_9' : d['c_0110_11'], 'c_1001_8' : d['c_0011_11'], 'c_1010_11' : d['c_0011_9'], 'c_1010_10' : negation(d['c_0101_3']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_10'], 'c_0101_10' : d['c_0101_10'], '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' : 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' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0110_11']), 'c_1100_5' : d['c_0011_11'], 'c_1100_4' : negation(d['c_0011_10']), 'c_1100_7' : d['c_1001_10'], 'c_1100_6' : d['c_1001_10'], 'c_1100_1' : d['c_1001_10'], 'c_1100_0' : negation(d['c_0011_10']), 'c_1100_3' : negation(d['c_0011_10']), 'c_1100_2' : negation(d['c_0110_11']), 's_3_11' : d['1'], 'c_1100_11' : d['c_1001_10'], 'c_1100_10' : d['c_0011_11'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_9']), 'c_1010_6' : d['c_0011_7'], 'c_1010_5' : negation(d['c_0011_9']), 'c_1010_4' : d['c_0110_11'], 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0011_4'], 'c_1010_1' : negation(d['c_0101_3']), 'c_1010_0' : d['c_0011_4'], 'c_1010_9' : negation(d['c_1001_10']), 'c_1010_8' : d['c_0011_4'], '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' : 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_9'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], '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' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0110_11'], 'c_0110_10' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_8']), 'c_0101_7' : negation(d['c_0101_10']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_8']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_7']), 'c_0101_1' : negation(d['c_0011_8']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_11']), 'c_0101_8' : d['c_0101_10'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : negation(d['c_0011_7']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0011_10']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_4'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : negation(d['c_0011_11']), 'c_0110_7' : negation(d['c_0011_8']), 'c_0110_6' : d['c_0101_10']})} 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_4, c_0011_7, c_0011_8, c_0011_9, c_0101_0, c_0101_10, c_0101_3, c_0110_11, c_1001_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 12342528/707455*c_1001_10^7 - 25857152/707455*c_1001_10^6 + 17326976/707455*c_1001_10^5 + 91790016/707455*c_1001_10^4 - 3031744/20213*c_1001_10^3 - 24129888/707455*c_1001_10^2 + 1657760/20213*c_1001_10 + 8324192/707455, c_0011_0 - 1, c_0011_10 - 452/119*c_1001_10^7 - 120/17*c_1001_10^6 + 626/119*c_1001_10^5 + 396/17*c_1001_10^4 - 4315/119*c_1001_10^3 + 1602/119*c_1001_10^2 + 152/119*c_1001_10 - 110/119, c_0011_11 + 8/7*c_1001_10^6 + 18/7*c_1001_10^5 - 4/7*c_1001_10^4 - 51/7*c_1001_10^3 + 54/7*c_1001_10^2 - 19/14*c_1001_10 - 6/7, c_0011_4 + 80/119*c_1001_10^7 - 12/119*c_1001_10^6 - 486/119*c_1001_10^5 - 484/119*c_1001_10^4 + 237/17*c_1001_10^3 - 1426/119*c_1001_10^2 + 63/34*c_1001_10 + 43/238, c_0011_7 + 48/119*c_1001_10^7 + 88/119*c_1001_10^6 - 6/119*c_1001_10^5 - 100/119*c_1001_10^4 + 81/17*c_1001_10^3 - 570/119*c_1001_10^2 + 31/34*c_1001_10 + 120/119, c_0011_8 + 28/17*c_1001_10^7 + 348/119*c_1001_10^6 - 288/119*c_1001_10^5 - 1196/119*c_1001_10^4 + 1852/119*c_1001_10^3 - 976/119*c_1001_10^2 + 675/238*c_1001_10 - 193/238, c_0011_9 + 404/119*c_1001_10^7 + 888/119*c_1001_10^6 - 314/119*c_1001_10^5 - 2740/119*c_1001_10^4 + 2881/119*c_1001_10^3 - 114/119*c_1001_10^2 - 303/119*c_1001_10 - 16/17, c_0101_0 + 500/119*c_1001_10^7 + 152/17*c_1001_10^6 - 326/119*c_1001_10^5 - 420/17*c_1001_10^4 + 4015/119*c_1001_10^3 - 1254/119*c_1001_10^2 - 86/119*c_1001_10 + 128/119, c_0101_10 + 452/119*c_1001_10^7 + 120/17*c_1001_10^6 - 626/119*c_1001_10^5 - 396/17*c_1001_10^4 + 4315/119*c_1001_10^3 - 1602/119*c_1001_10^2 - 152/119*c_1001_10 + 229/119, c_0101_3 - 452/119*c_1001_10^7 - 976/119*c_1001_10^6 + 320/119*c_1001_10^5 + 2840/119*c_1001_10^4 - 3448/119*c_1001_10^3 + 684/119*c_1001_10^2 + 389/238*c_1001_10 - 8/119, c_0110_11 - 1, c_1001_10^8 + 2*c_1001_10^7 - c_1001_10^6 - 6*c_1001_10^5 + 35/4*c_1001_10^4 - 3*c_1001_10^3 - 1/4*c_1001_10^2 + 1/4*c_1001_10 + 1/16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 1.490 Total time: 1.700 seconds, Total memory usage: 32.09MB