Magma V2.19-8 Tue Aug 20 2013 16:17:16 on localhost [Seed = 576962292] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1506 geometric_solution 5.31209953 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 0 0 1 0132 1230 3012 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 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 -0.174209197659 0.130574802362 0 0 2 2 0132 2310 2310 0132 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 -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 2.834171925924 2.661275442167 3 1 1 4 0132 3201 0132 0132 0 0 0 0 0 0 0 0 0 0 1 -1 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 0 -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 0.166767471980 0.467435639582 2 4 6 5 0132 2310 0132 0132 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 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 0.035023258813 1.021302871074 6 5 2 3 2310 0132 0132 3201 0 0 0 0 0 -1 0 1 -1 0 1 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 1 -1 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 0.035023258813 1.021302871074 5 4 3 5 3012 0132 0132 1230 0 0 0 0 0 1 -1 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 0.943395541765 1.011111873314 6 6 4 3 1302 2031 3201 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 -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 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.494026612934 0.472756072699 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : 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' : 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' : negation(d['c_0011_4']), 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : negation(d['c_0011_6']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_3'], '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_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0011_6']), 'c_1001_4' : d['c_0101_0'], 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0011_6'], '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' : d['c_0101_3'], 'c_0110_5' : negation(d['c_0011_4']), 'c_0110_4' : d['c_0011_6'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : d['c_0011_6'], 'c_1010_5' : d['c_0101_0'], 'c_1010_4' : negation(d['c_0011_6']), 'c_1010_3' : negation(d['c_0011_6']), 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : 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_2, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 32 Groebner basis: [ t - 16379146744626877/5857306750867593*c_0101_3^15 - 10568644066582904/5857306750867593*c_0101_3^14 - 12568939465249147/1952435583622531*c_0101_3^13 - 106279541452470751/5857306750867593*c_0101_3^12 + 392958385931275303/5857306750867593*c_0101_3^11 - 19482338205212424/278919369088933*c_0101_3^10 + 478030786175982931/1952435583622531*c_0101_3^9 - 835708835774097437/5857306750867593*c_0101_3^8 + 360083323157834897/5857306750867593*c_0101_3^7 - 1426735565949336205/5857306750867593*c_0101_3^6 - 1889303322509611676/5857306750867593*c_0101_3^5 + 264396247486525498/836758107266799*c_0101_3^4 + 510691501532258500/5857306750867593*c_0101_3^3 + 1432004710203025373/5857306750867593*c_0101_3^2 - 1574582942753287487/5857306750867593*c_0101_3 + 114647185688209498/1952435583622531, c_0011_0 - 1, c_0011_2 + 4792257933/116751514897*c_0101_3^15 + 6086150319/116751514897*c_0101_3^14 + 17181574993/116751514897*c_0101_3^13 + 43816701205/116751514897*c_0101_3^12 - 81046007800/116751514897*c_0101_3^11 + 87377500723/116751514897*c_0101_3^10 - 414660978222/116751514897*c_0101_3^9 + 42819283507/116751514897*c_0101_3^8 - 280349423895/116751514897*c_0101_3^7 + 317406447468/116751514897*c_0101_3^6 + 689695348884/116751514897*c_0101_3^5 + 3856843379/116751514897*c_0101_3^4 + 167816114919/116751514897*c_0101_3^3 - 511961471863/116751514897*c_0101_3^2 + 76620025605/116751514897*c_0101_3 - 140446527663/116751514897, c_0011_4 + 23465235721362/278919369088933*c_0011_6*c_0101_3^15 + 26777128633809/278919369088933*c_0011_6*c_0101_3^14 + 73124014802198/278919369088933*c_0011_6*c_0101_3^13 + 197196499797759/278919369088933*c_0011_6*c_0101_3^12 - 446600617420254/278919369088933*c_0011_6*c_0101_3^11 + 413994339149917/278919369088933*c_0011_6*c_0101_3^10 - 1951999375247231/278919369088933*c_0011_6*c_0101_3^9 + 263684498429978/278919369088933*c_0011_6*c_0101_3^8 - 839135736300986/278919369088933*c_0011_6*c_0101_3^7 + 1550528393299060/278919369088933*c_0011_6*c_0101_3^6 + 3307943974618303/278919369088933*c_0011_6*c_0101_3^5 - 402166253023379/278919369088933*c_0011_6*c_0101_3^4 - 10873307327881/278919369088933*c_0011_6*c_0101_3^3 - 1736348143230572/278919369088933*c_0011_6*c_0101_3^2 + 1099860387739698/278919369088933*c_0011_6*c_0101_3 - 443774136272263/278919369088933*c_0011_6, c_0011_6^2 + 22905523653734/278919369088933*c_0101_3^15 + 33859551051291/278919369088933*c_0101_3^14 + 83154062304173/278919369088933*c_0101_3^13 + 219856555450328/278919369088933*c_0101_3^12 - 359373851911325/278919369088933*c_0101_3^11 + 289008094603368/278919369088933*c_0101_3^10 - 1812205029281524/278919369088933*c_0101_3^9 - 290198738766630/278919369088933*c_0101_3^8 - 967259343481195/278919369088933*c_0101_3^7 + 1296895301357515/278919369088933*c_0101_3^6 + 3553935530785788/278919369088933*c_0101_3^5 + 620636567298080/278919369088933*c_0101_3^4 + 57365565823175/278919369088933*c_0101_3^3 - 2251072832722360/278919369088933*c_0101_3^2 + 527137117265304/278919369088933*c_0101_3 - 411057944385254/278919369088933, c_0101_0 - 22402731599494/278919369088933*c_0101_3^15 - 28977304455062/278919369088933*c_0101_3^14 - 77659148878733/278919369088933*c_0101_3^13 - 203414720342100/278919369088933*c_0101_3^12 + 385626814759246/278919369088933*c_0101_3^11 - 366414854166847/278919369088933*c_0101_3^10 + 1876367430736072/278919369088933*c_0101_3^9 - 51256870966388/278919369088933*c_0101_3^8 + 1044962699050222/278919369088933*c_0101_3^7 - 1357406982455154/278919369088933*c_0101_3^6 - 3390689414814922/278919369088933*c_0101_3^5 - 43674041001872/278919369088933*c_0101_3^4 - 558972934705326/278919369088933*c_0101_3^3 + 2116081305546911/278919369088933*c_0101_3^2 - 669355804524842/278919369088933*c_0101_3 + 495865420163045/278919369088933, c_0101_1 - 19420105727/116751514897*c_0101_3^15 - 28539207540/116751514897*c_0101_3^14 - 71200992424/116751514897*c_0101_3^13 - 189305510109/116751514897*c_0101_3^12 + 299375826476/116751514897*c_0101_3^11 - 267729187552/116751514897*c_0101_3^10 + 1522718516280/116751514897*c_0101_3^9 + 230405767966/116751514897*c_0101_3^8 + 826152813276/116751514897*c_0101_3^7 - 951609247006/116751514897*c_0101_3^6 - 2921693952244/116751514897*c_0101_3^5 - 334309857117/116751514897*c_0101_3^4 - 67689124225/116751514897*c_0101_3^3 + 1644519378359/116751514897*c_0101_3^2 - 472628621157/116751514897*c_0101_3 + 217669849014/116751514897, c_0101_3^16 + c_0101_3^15 + 3*c_0101_3^14 + 8*c_0101_3^13 - 20*c_0101_3^12 + 21*c_0101_3^11 - 86*c_0101_3^10 + 26*c_0101_3^9 - 40*c_0101_3^8 + 73*c_0101_3^7 + 129*c_0101_3^6 - 49*c_0101_3^5 + c_0101_3^4 - 93*c_0101_3^3 + 62*c_0101_3^2 - 27*c_0101_3 + 7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB