Magma V2.19-8 Tue Aug 20 2013 16:19:17 on localhost [Seed = 2294879622] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3404 geometric_solution 6.57148936 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 1 0132 0132 0132 3012 0 0 0 0 0 -1 -1 2 -1 0 1 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 1 -1 1 0 -1 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 0.479681212750 0.778860375815 0 4 0 2 0132 0132 1230 2103 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 1 1 -2 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.593053795662 0.887736736567 5 0 5 1 0132 0132 1023 2103 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 0 0 0 0 0 0 0 0.084892023525 1.337689964103 5 4 6 0 3012 3201 0132 0132 0 0 0 0 0 0 -1 1 0 0 1 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.955311631753 0.803098211162 5 1 3 6 1023 0132 2310 2031 0 0 0 0 0 0 1 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.386672076257 0.515604062634 2 4 2 3 0132 1023 1023 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.324183186225 1.140185061711 6 4 6 3 2031 1302 1302 0132 0 0 0 0 0 0 -1 1 1 0 0 -1 -1 1 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 -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 0.456563192450 0.676130996248 ==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' : negation(d['1']), 's_3_4' : d['1'], 's_3_0' : negation(d['1']), 's_2_0' : negation(d['1']), 's_2_1' : negation(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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_6']), 'c_1100_5' : d['c_0101_0'], 'c_1100_4' : d['c_0011_3'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_1'], 'c_1100_0' : negation(d['c_0011_6']), 'c_1100_3' : negation(d['c_0011_6']), 'c_1100_2' : negation(d['c_0101_0']), 'c_0101_6' : negation(d['c_0011_6']), 'c_0101_5' : negation(d['c_0101_1']), 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : d['c_0011_6'], '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_1001_5' : d['c_0011_3'], 'c_1001_4' : negation(d['c_1001_0']), 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : d['c_0011_6'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : d['c_0101_3'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : negation(d['c_0011_3']), 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : d['c_0011_6'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_1001_0']), 'c_1010_0' : negation(d['c_0101_1'])})} 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_3, c_0011_6, c_0101_0, c_0101_1, c_0101_3, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 17 Groebner basis: [ t - 3257193943/1041988443*c_1001_0^16 - 44405302009/1041988443*c_1001_0^15 - 263947562977/1041988443*c_1001_0^14 - 8038345171/9559527*c_1001_0^13 - 1670341967902/1041988443*c_1001_0^12 - 1392787712407/1041988443*c_1001_0^11 + 1288204387582/1041988443*c_1001_0^10 + 5037908577350/1041988443*c_1001_0^9 + 5548124498399/1041988443*c_1001_0^8 + 521961602672/1041988443*c_1001_0^7 - 2039749901685/347329481*c_1001_0^6 - 2739465095786/347329481*c_1001_0^5 - 1626643398047/347329481*c_1001_0^4 - 664968349898/1041988443*c_1001_0^3 + 315839412414/347329481*c_1001_0^2 + 584455027643/1041988443*c_1001_0 + 92297618698/1041988443, c_0011_0 - 1, c_0011_3 + 1445959/18280499*c_1001_0^16 + 12506455/18280499*c_1001_0^15 + 27246459/18280499*c_1001_0^14 - 837241/167711*c_1001_0^13 - 641752681/18280499*c_1001_0^12 - 1469169621/18280499*c_1001_0^11 - 1195712797/18280499*c_1001_0^10 + 1428637467/18280499*c_1001_0^9 + 4504498606/18280499*c_1001_0^8 + 3843745320/18280499*c_1001_0^7 - 1178640111/18280499*c_1001_0^6 - 5575588135/18280499*c_1001_0^5 - 5110385312/18280499*c_1001_0^4 - 1646057182/18280499*c_1001_0^3 + 580549156/18280499*c_1001_0^2 + 636761459/18280499*c_1001_0 + 131093808/18280499, c_0011_6 - 367756/18280499*c_1001_0^16 - 5106716/18280499*c_1001_0^15 - 32761274/18280499*c_1001_0^14 - 1133008/167711*c_1001_0^13 - 281826592/18280499*c_1001_0^12 - 328855324/18280499*c_1001_0^11 + 70218366/18280499*c_1001_0^10 + 868130788/18280499*c_1001_0^9 + 1213124834/18280499*c_1001_0^8 + 331503988/18280499*c_1001_0^7 - 1132316929/18280499*c_1001_0^6 - 1676212675/18280499*c_1001_0^5 - 937140240/18280499*c_1001_0^4 - 31807974/18280499*c_1001_0^3 + 207156227/18280499*c_1001_0^2 + 73862363/18280499*c_1001_0 - 3544555/18280499, c_0101_0 - 1, c_0101_1 + 5474497/18280499*c_1001_0^16 + 76275202/18280499*c_1001_0^15 + 466067782/18280499*c_1001_0^14 + 14709888/167711*c_1001_0^13 + 3222069624/18280499*c_1001_0^12 + 3065500184/18280499*c_1001_0^11 - 1708210432/18280499*c_1001_0^10 - 9296478633/18280499*c_1001_0^9 - 11585567160/18280499*c_1001_0^8 - 2891216408/18280499*c_1001_0^7 + 10651612825/18280499*c_1001_0^6 + 16656082161/18280499*c_1001_0^5 + 11366851389/18280499*c_1001_0^4 + 2679706660/18280499*c_1001_0^3 - 1583768252/18280499*c_1001_0^2 - 1384283781/18280499*c_1001_0 - 315590884/18280499, c_0101_3 - 1106876/18280499*c_1001_0^16 - 12501488/18280499*c_1001_0^15 - 56491831/18280499*c_1001_0^14 - 1087879/167711*c_1001_0^13 - 58757586/18280499*c_1001_0^12 + 243148686/18280499*c_1001_0^11 + 490285299/18280499*c_1001_0^10 + 163909755/18280499*c_1001_0^9 - 536182194/18280499*c_1001_0^8 - 714085260/18280499*c_1001_0^7 - 135035047/18280499*c_1001_0^6 + 382940045/18280499*c_1001_0^5 + 259534987/18280499*c_1001_0^4 - 73070823/18280499*c_1001_0^3 - 110499578/18280499*c_1001_0^2 - 10890432/18280499*c_1001_0 + 19643836/18280499, c_1001_0^17 + 15*c_1001_0^16 + 100*c_1001_0^15 + 384*c_1001_0^14 + 904*c_1001_0^13 + 1200*c_1001_0^12 + 308*c_1001_0^11 - 2023*c_1001_0^10 - 3973*c_1001_0^9 - 2866*c_1001_0^8 + 1357*c_1001_0^7 + 5195*c_1001_0^6 + 5425*c_1001_0^5 + 2737*c_1001_0^4 + 206*c_1001_0^3 - 580*c_1001_0^2 - 324*c_1001_0 - 57 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB