Magma V2.19-8 Tue Aug 20 2013 23:46:04 on localhost [Seed = 1798114964] Type ? for help. Type -D to quit. Loading file "K14n12194__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n12194 geometric_solution 10.12540375 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 12 1 1 2 3 0132 1302 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 5 -5 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.306104173651 0.931153629234 0 4 5 0 0132 0132 0132 2031 0 0 0 0 0 -1 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 -6 1 5 0 0 -1 1 0 -1 0 1 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.514553961072 0.690490949931 6 6 7 0 0132 1230 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 1 0 -1 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 0.387097118892 1.219342668715 8 9 0 9 0132 0132 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.182744440839 2.006833465612 10 1 5 8 0132 0132 2103 2103 0 0 0 0 0 1 -1 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 6 -6 0 0 0 0 0 0 -5 0 5 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.500266177679 1.519979121933 4 10 6 1 2103 0132 2031 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 0 1 -1 0 0 -1 1 6 -6 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.631677289042 0.415568963903 2 8 2 5 0132 1230 3012 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.763480699580 0.745027696933 11 10 11 2 0132 2310 1023 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 0.008104208442 1.421894962804 3 10 6 4 0132 3201 3012 2103 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 6 -1 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.535991297104 1.419364638802 11 3 11 3 1023 0132 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.481622587196 0.199409727241 4 5 8 7 0132 0132 2310 3201 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 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.215617528067 0.797872791206 7 9 7 9 0132 1023 1023 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 0.505287864009 0.172492259142 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_7'], 'c_1001_10' : d['c_1001_1'], 'c_1001_5' : negation(d['c_0101_11']), 'c_1001_4' : d['c_0011_0'], 'c_1001_7' : d['c_0101_11'], 'c_1001_6' : negation(d['c_0011_2']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0101_0'], 'c_1001_3' : d['c_0101_8'], 'c_1001_2' : negation(d['c_0101_4']), 'c_1001_9' : d['c_0110_9'], 'c_1001_8' : d['c_0011_2'], 'c_1010_11' : d['c_0110_9'], 'c_1010_10' : negation(d['c_0101_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_2']), '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_0011_10' : negation(d['c_0011_0']), 'c_1100_5' : negation(d['c_0101_8']), 'c_1100_4' : negation(d['c_0101_1']), 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : d['c_0101_4'], 'c_1100_1' : negation(d['c_0101_8']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_1100_0']), 'c_1100_11' : negation(d['c_1100_0']), 'c_1100_10' : d['c_0011_11'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0101_4']), 'c_1010_6' : d['c_0101_8'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_0110_9'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0011_0'], 'c_1010_0' : d['c_0101_8'], 'c_1010_9' : d['c_0101_8'], 'c_1010_8' : negation(d['c_1001_1']), 'c_1100_8' : d['c_0011_2'], '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_11'], 'c_0011_8' : d['c_0011_11'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_11']), '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_11']), 'c_0011_2' : d['c_0011_2'], 'c_0110_11' : d['c_0101_7'], 'c_0110_10' : d['c_0101_4'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_11'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_7'], 'c_0101_8' : d['c_0101_8'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_9'], 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_8'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0011_2']), 'c_0110_7' : d['c_0101_11'], 'c_0110_6' : d['c_0101_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_11, c_0011_2, c_0101_0, c_0101_1, c_0101_11, c_0101_4, c_0101_7, c_0101_8, c_0110_9, c_1001_1, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 62208/3683*c_1100_0^5 - 216960/25781*c_1100_0^4 + 436928/3683*c_1100_0^3 + 1779936/25781*c_1100_0^2 - 594112/3683*c_1100_0 - 3040368/25781, c_0011_0 - 1, c_0011_11 - 60/29*c_1100_0^5 - 12/29*c_1100_0^4 + 396/29*c_1100_0^3 + 56/29*c_1100_0^2 - 447/29*c_1100_0 - 14/29, c_0011_2 + 20/29*c_1100_0^5 - 132/29*c_1100_0^3 + 149/29*c_1100_0, c_0101_0 - 16/29*c_1100_0^5 + 94/29*c_1100_0^3 - 67/29*c_1100_0, c_0101_1 + 20/29*c_1100_0^5 + 12/29*c_1100_0^4 - 132/29*c_1100_0^3 - 56/29*c_1100_0^2 + 149/29*c_1100_0 + 14/29, c_0101_11 - 1, c_0101_4 + 16/29*c_1100_0^5 - 94/29*c_1100_0^3 + 67/29*c_1100_0 + 1, c_0101_7 + 16/29*c_1100_0^5 - 4/29*c_1100_0^4 - 94/29*c_1100_0^3 + 38/29*c_1100_0^2 + 67/29*c_1100_0 - 24/29, c_0101_8 + 20/29*c_1100_0^5 - 132/29*c_1100_0^3 + 149/29*c_1100_0, c_0110_9 + 20/29*c_1100_0^5 - 12/29*c_1100_0^4 - 132/29*c_1100_0^3 + 56/29*c_1100_0^2 + 120/29*c_1100_0 - 14/29, c_1001_1 + 40/29*c_1100_0^5 - 264/29*c_1100_0^3 + 298/29*c_1100_0, c_1100_0^6 - 13/2*c_1100_0^4 + 13/2*c_1100_0^2 - 1/8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.710 Total time: 0.930 seconds, Total memory usage: 32.09MB