Magma V2.19-8 Tue Aug 20 2013 16:16:18 on localhost [Seed = 1090575779] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0577 geometric_solution 4.59753524 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -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 0.504589120770 0.425387045055 2 0 3 0 0132 2310 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.336938757261 0.551247235111 1 3 3 4 0132 1230 3012 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.156124296719 0.666127141897 4 2 2 1 3201 1230 3012 0132 0 0 0 0 0 0 0 0 1 0 -1 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 0 0 0 1 0 0 -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 1.156124296719 0.666127141897 5 5 2 3 0132 3201 0132 2310 0 0 0 0 0 -1 0 1 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 0 1 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 0.414363059917 0.764299732762 4 6 4 6 0132 0132 2310 2310 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 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 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.433511777077 0.971792105602 5 5 6 6 3201 0132 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.380848657289 0.044953069733 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : negation(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' : negation(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' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0101_1']), 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : negation(d['c_0011_1']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : negation(d['c_0011_1']), 'c_0101_6' : negation(d['c_0101_1']), 'c_0101_5' : negation(d['c_0101_3']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_4'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0101_1'], 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : negation(d['c_0110_6']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0011_1'], 'c_1001_2' : d['c_0011_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_3']), 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : d['c_0101_1'], 'c_1010_5' : negation(d['c_0110_6']), 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_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_1, c_0011_4, c_0101_0, c_0101_1, c_0101_3, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 1419639855007180331021/3773005243010142400*c_0110_6^15 + 26911478516391356448969/943251310752535600*c_0110_6^13 - 1116420678247040847089493/1886502621505071200*c_0110_6^11 - 2050436685302561973041511/3773005243010142400*c_0110_6^9 - 723665696331011282771517/943251310752535600*c_0110_6^7 + 1102644250321996179372821/471625655376267800*c_0110_6^5 - 1702237084776569672747439/1886502621505071200*c_0110_6^3 + 326944738932189782145227/3773005243010142400*c_0110_6, c_0011_0 - 1, c_0011_1 + 13014712208388/2358128276881339*c_0110_6^14 - 977825881360186/2358128276881339*c_0110_6^12 + 19787313377013068/2358128276881339*c_0110_6^10 + 32832685293625233/2358128276881339*c_0110_6^8 + 43032129655764002/2358128276881339*c_0110_6^6 - 58215130530647047/2358128276881339*c_0110_6^4 - 17515826981153521/2358128276881339*c_0110_6^2 + 5533221099962129/2358128276881339, c_0011_4 + 58188806900053/2358128276881339*c_0110_6^14 - 4417031796332793/2358128276881339*c_0110_6^12 + 91883069981469566/2358128276881339*c_0110_6^10 + 76591711003132483/2358128276881339*c_0110_6^8 + 109852152350322881/2358128276881339*c_0110_6^6 - 372413232492886504/2358128276881339*c_0110_6^4 + 168094477991307221/2358128276881339*c_0110_6^2 - 18728512443807951/2358128276881339, c_0101_0 + 1364606198591427/4716256553762678*c_0110_6^15 - 51729297125751079/2358128276881339*c_0110_6^13 + 1072600882545693454/2358128276881339*c_0110_6^11 + 1993113602916180383/4716256553762678*c_0110_6^9 + 1405372327744259701/2358128276881339*c_0110_6^7 - 4220994149591708663/2358128276881339*c_0110_6^5 + 1598239636090591584/2358128276881339*c_0110_6^3 - 309311778927698397/4716256553762678*c_0110_6, c_0101_1 - 109184883104556/2358128276881339*c_0110_6^14 + 8280446195024802/2358128276881339*c_0110_6^12 - 171832490159197439/2358128276881339*c_0110_6^10 - 155530773743652390/2358128276881339*c_0110_6^8 - 220970462149693220/2358128276881339*c_0110_6^6 + 681766465747274964/2358128276881339*c_0110_6^4 - 270836069051812574/2358128276881339*c_0110_6^2 + 26850157880814929/2358128276881339, c_0101_3 - 548529264386006/2358128276881339*c_0110_6^15 + 41589973579636442/2358128276881339*c_0110_6^13 - 862519332488259718/2358128276881339*c_0110_6^11 - 796715855751686671/2358128276881339*c_0110_6^9 - 1125616281747348275/2358128276881339*c_0110_6^7 + 3399177321529539943/2358128276881339*c_0110_6^5 - 1300694042042178350/2358128276881339*c_0110_6^3 + 127908583742997602/2358128276881339*c_0110_6, c_0110_6^16 - 76*c_0110_6^14 + 1586*c_0110_6^12 + 1171*c_0110_6^10 + 1788*c_0110_6^8 - 6568*c_0110_6^6 + 3478*c_0110_6^4 - 647*c_0110_6^2 + 40 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB