Magma V2.19-8 Tue Aug 20 2013 16:17:09 on localhost [Seed = 3313785105] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1398 geometric_solution 5.24502569 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 3 0132 3120 0132 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 1 -2 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 0.500819929827 0.493579202545 0 0 4 3 0132 3120 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 -1 0 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 0.500819929827 0.493579202545 4 3 5 0 0321 2031 0132 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 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 0.223000027788 1.499377047866 2 4 0 1 1302 3120 0132 1023 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 -1 2 -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 1.709739349748 2.294366492163 2 3 5 1 0321 3120 1023 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 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 0.223000027788 1.499377047866 6 6 4 2 0132 3201 1023 0132 0 0 0 0 0 1 0 -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 0 -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 0.178859797470 0.250257610215 5 6 5 6 0132 2310 2310 3201 0 0 0 0 0 1 0 -1 0 0 0 0 1 0 0 -1 0 1 -1 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 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.603315923824 0.824815153183 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { '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_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_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_0_6' : 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_1100_6' : d['c_0011_5'], 'c_1100_5' : d['c_1100_0'], 'c_1100_4' : negation(d['c_1100_0']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_1100_0']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 'c_0101_6' : d['c_0101_2'], 'c_0101_5' : negation(d['c_0011_0']), 'c_0101_4' : negation(d['c_0101_2']), 'c_0101_3' : negation(d['c_0011_2']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_2']), 'c_0101_0' : negation(d['c_0011_4']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_5']), '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' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_6' : negation(d['c_0011_0']), 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : d['c_0011_3'], 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : d['c_0011_0'], 'c_0110_1' : negation(d['c_0011_4']), 'c_0110_0' : negation(d['c_0011_2']), 'c_0110_3' : negation(d['c_0011_0']), 'c_0110_2' : negation(d['c_0011_4']), 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : negation(d['c_0011_2']), 'c_0110_6' : negation(d['c_0011_0']), 'c_1010_6' : d['c_0011_0'], 'c_1010_5' : d['c_0011_0'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : negation(d['c_0011_4']), 'c_1010_2' : d['c_0011_3'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : d['c_0011_0']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_3, c_0011_4, c_0011_5, c_0101_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 12179462266/27265980775*c_1100_0^9 - 26092979371/14178310003*c_1100_0^8 - 1572869559122/354457750075*c_1100_0^7 - 1300880561577/354457750075*c_1100_0^6 - 2104571452498/354457750075*c_1100_0^5 - 681848312049/70891550015*c_1100_0^4 - 1826159351053/354457750075*c_1100_0^3 + 8181458632332/354457750075*c_1100_0^2 - 2901915991153/70891550015*c_1100_0 + 4368760149146/354457750075, c_0011_0 - 1, c_0011_2 - 8453407/1401018775*c_1100_0^9 - 90173/4310827*c_1100_0^8 - 68069413/1401018775*c_1100_0^7 - 21959933/1401018775*c_1100_0^6 - 103815817/1401018775*c_1100_0^5 - 12580011/280203755*c_1100_0^4 - 7896199/107770675*c_1100_0^3 + 24965056/107770675*c_1100_0^2 - 301643287/280203755*c_1100_0 + 611459559/1401018775, c_0011_3 - 33533002/1401018775*c_1100_0^9 - 451729/4310827*c_1100_0^8 - 342534143/1401018775*c_1100_0^7 - 235317063/1401018775*c_1100_0^6 - 225993062/1401018775*c_1100_0^5 - 102742606/280203755*c_1100_0^4 - 10793489/107770675*c_1100_0^3 + 205696641/107770675*c_1100_0^2 - 495749877/280203755*c_1100_0 - 537561801/1401018775, c_0011_4 + 8453407/1401018775*c_1100_0^9 + 90173/4310827*c_1100_0^8 + 68069413/1401018775*c_1100_0^7 + 21959933/1401018775*c_1100_0^6 + 103815817/1401018775*c_1100_0^5 + 12580011/280203755*c_1100_0^4 + 7896199/107770675*c_1100_0^3 - 24965056/107770675*c_1100_0^2 + 301643287/280203755*c_1100_0 - 611459559/1401018775, c_0011_5 + 223121/21554135*c_1100_0^9 + 172360/4310827*c_1100_0^8 + 1498814/21554135*c_1100_0^7 - 1024891/21554135*c_1100_0^6 - 3527289/21554135*c_1100_0^5 - 526065/4310827*c_1100_0^4 - 1969719/21554135*c_1100_0^3 - 16208964/21554135*c_1100_0^2 + 4410744/4310827*c_1100_0 + 6509333/21554135, c_0101_2 + 88749/21554135*c_1100_0^9 + 32023/4310827*c_1100_0^8 - 206889/21554135*c_1100_0^7 - 1920174/21554135*c_1100_0^6 - 2321521/21554135*c_1100_0^5 - 752891/4310827*c_1100_0^4 - 12444801/21554135*c_1100_0^3 - 14892621/21554135*c_1100_0^2 + 3846361/4310827*c_1100_0 - 11852583/21554135, c_1100_0^10 + 4*c_1100_0^9 + 9*c_1100_0^8 + 5*c_1100_0^7 + 7*c_1100_0^6 + 14*c_1100_0^5 + c_1100_0^4 - 65*c_1100_0^3 + 89*c_1100_0^2 - 17*c_1100_0 - 23 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB