Magma V2.19-8 Tue Aug 20 2013 16:19:02 on localhost [Seed = 576962377] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3181 geometric_solution 6.32807460 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 0 0 0132 0132 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.283300191521 0.780036327177 0 3 5 4 0132 0132 0132 0132 0 0 0 0 0 1 0 -1 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 -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 0.137391057806 1.035179093465 3 0 4 5 0132 0132 0132 2310 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 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 0.137391057806 1.035179093465 2 1 6 6 0132 0132 0132 2310 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 1 -1 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 -0.635083921544 0.904273959600 4 4 1 2 1230 3012 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 0.898332190393 1.213883237901 2 5 5 1 3201 3201 2310 0132 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.256121829056 0.735971396003 3 6 6 3 3201 1230 3012 0132 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 0 -1 1 0 0 0 0 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.009009938840 0.727466192130 ==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' : negation(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' : negation(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_6'], 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : d['c_0011_5'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_5'], 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : d['c_0011_6'], 'c_1100_2' : d['c_0011_5'], 'c_0101_6' : negation(d['c_0011_4']), 'c_0101_5' : negation(d['c_0101_3']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], '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' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_6' : negation(d['c_0011_6']), 'c_1001_1' : negation(d['c_0101_3']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0011_4']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_4'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0011_4'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : negation(d['c_0011_4']), 'c_1010_5' : negation(d['c_0101_3']), 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0011_4']), '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_4, c_0011_5, c_0011_6, c_0101_0, c_0101_1, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 30 Groebner basis: [ t - 169768957497482555553/19135298970524764*c_0101_0*c_0101_3^14 - 1775577524679091578471/38270597941049528*c_0101_0*c_0101_3^13 - 22429236826551793759243/229623587646297168*c_0101_0*c_0101_3^12 - 26203642519260607970207/229623587646297168*c_0101_0*c_0101_3^11 - 6720451258989035108987/76541195882099056*c_0101_0*c_0101_3^10 - 617218877790003251960/14351474227893573*c_0101_0*c_0101_3^9 - 835950221449608513281/114811793823148584*c_0101_0*c_0101_3^8 + 450835150253835718345/76541195882099056*c_0101_0*c_0101_3^7 + 1803730492359096668219/229623587646297168*c_0101_0*c_0101_3^6 + 1034848735204874769281/229623587646297168*c_0101_0*c_0101_3^5 + 445283381321533071703/229623587646297168*c_0101_0*c_0101_3^4 + 181369921776011997437/229623587646297168*c_0101_0*c_0101_3^3 + 7753742824043156455/114811793823148584*c_0101_0*c_0101_3^2 + 299277028152000682/14351474227893573*c_0101_0*c_0101_3 - 9655740299926227311/229623587646297168*c_0101_0, c_0011_0 - 1, c_0011_4 + 935349799950249882/4783824742631191*c_0101_0*c_0101_3^14 + 5954096596407756267/4783824742631191*c_0101_0*c_0101_3^13 + 96695436949270791943/28702948455787146*c_0101_0*c_0101_3^12 + 50534134716867499373/9567649485262382*c_0101_0*c_0101_3^11 + 161030711309688281479/28702948455787146*c_0101_0*c_0101_3^10 + 63478629853071467189/14351474227893573*c_0101_0*c_0101_3^9 + 38946857995523414126/14351474227893573*c_0101_0*c_0101_3^8 + 40529438968861515559/28702948455787146*c_0101_0*c_0101_3^7 + 6561621308427463999/9567649485262382*c_0101_0*c_0101_3^6 + 2982776375614163067/9567649485262382*c_0101_0*c_0101_3^5 + 3905175950907396643/28702948455787146*c_0101_0*c_0101_3^4 + 1323288347716538857/28702948455787146*c_0101_0*c_0101_3^3 + 158107705445738947/14351474227893573*c_0101_0*c_0101_3^2 + 16330987172195572/14351474227893573*c_0101_0*c_0101_3 - 22828570215318761/28702948455787146*c_0101_0, c_0011_5 + 79775769344065674/4783824742631191*c_0101_0*c_0101_3^14 + 1033649244117762075/4783824742631191*c_0101_0*c_0101_3^13 + 25475519259217177807/28702948455787146*c_0101_0*c_0101_3^12 + 52883856583131371983/28702948455787146*c_0101_0*c_0101_3^11 + 69357482251236481313/28702948455787146*c_0101_0*c_0101_3^10 + 10905877377147589818/4783824742631191*c_0101_0*c_0101_3^9 + 22595419733011208624/14351474227893573*c_0101_0*c_0101_3^8 + 23535060312104538353/28702948455787146*c_0101_0*c_0101_3^7 + 10591503211946479721/28702948455787146*c_0101_0*c_0101_3^6 + 4250563550637280913/28702948455787146*c_0101_0*c_0101_3^5 + 716538415750554765/9567649485262382*c_0101_0*c_0101_3^4 + 819097143280511527/28702948455787146*c_0101_0*c_0101_3^3 + 25853699016335567/4783824742631191*c_0101_0*c_0101_3^2 + 13515175573833295/14351474227893573*c_0101_0*c_0101_3 - 15719711180050159/9567649485262382*c_0101_0, c_0011_6 + 11909853780/688835197*c_0101_3^14 + 15913978566/688835197*c_0101_3^13 - 439539554497/2066505591*c_0101_3^12 - 1644285935213/2066505591*c_0101_3^11 - 896480176165/688835197*c_0101_3^10 - 2736330320927/2066505591*c_0101_3^9 - 1955393962198/2066505591*c_0101_3^8 - 351802443832/688835197*c_0101_3^7 - 507529414423/2066505591*c_0101_3^6 - 250955031229/2066505591*c_0101_3^5 - 129232317752/2066505591*c_0101_3^4 - 51271176205/2066505591*c_0101_3^3 - 12658543525/2066505591*c_0101_3^2 - 1662126155/2066505591*c_0101_3 - 403257560/2066505591, c_0101_0^2 + 330206453507700/25046202841001*c_0101_3^14 + 455329464370566/25046202841001*c_0101_3^13 - 3681842751546659/25046202841001*c_0101_3^12 - 40314422306627413/75138608523003*c_0101_3^11 - 63591615718148977/75138608523003*c_0101_3^10 - 62324815789642883/75138608523003*c_0101_3^9 - 14227039555088555/25046202841001*c_0101_3^8 - 21939472022381977/75138608523003*c_0101_3^7 - 10040851788664505/75138608523003*c_0101_3^6 - 5055546759785375/75138608523003*c_0101_3^5 - 2899851788529518/75138608523003*c_0101_3^4 - 335296563780090/25046202841001*c_0101_3^3 - 356151641036608/75138608523003*c_0101_3^2 + 16746451077920/25046202841001*c_0101_3 - 31693853234846/75138608523003, c_0101_1 - 3529811078367156/25046202841001*c_0101_3^14 - 13458587704616958/25046202841001*c_0101_3^13 - 10783339344346425/25046202841001*c_0101_3^12 + 61818376731397699/75138608523003*c_0101_3^11 + 166588168190466343/75138608523003*c_0101_3^10 + 206349505103905382/75138608523003*c_0101_3^9 + 56460440436062518/25046202841001*c_0101_3^8 + 96415733947460686/75138608523003*c_0101_3^7 + 47082373256957522/75138608523003*c_0101_3^6 + 20771384005966868/75138608523003*c_0101_3^5 + 10338515638027760/75138608523003*c_0101_3^4 + 1718308827946645/25046202841001*c_0101_3^3 + 1147685071197562/75138608523003*c_0101_3^2 + 96840666364767/25046202841001*c_0101_3 - 192506996345044/75138608523003, c_0101_3^15 + 131/22*c_0101_3^14 + 6101/396*c_0101_3^13 + 533/22*c_0101_3^12 + 896/33*c_0101_3^11 + 3035/132*c_0101_3^10 + 3017/198*c_0101_3^9 + 3335/396*c_0101_3^8 + 797/198*c_0101_3^7 + 185/99*c_0101_3^6 + 82/99*c_0101_3^5 + 31/99*c_0101_3^4 + 37/396*c_0101_3^3 + 1/198*c_0101_3^2 - 1/396*c_0101_3 - 1/396 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.240 seconds, Total memory usage: 32.09MB