Magma V2.19-8 Tue Aug 20 2013 16:17:34 on localhost [Seed = 3633923079] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1803 geometric_solution 5.47117564 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 1 0 0 0132 3201 2031 1302 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 1 -1 0 1 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.520054800992 0.217514719421 0 2 0 3 0132 0132 2310 0132 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 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 1.063314771771 0.871480800554 4 1 5 3 0132 0132 0132 1230 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 -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 1.122337558470 0.897281017018 2 5 1 4 3012 1023 0132 1023 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 1.122337558470 0.897281017018 2 4 4 3 0132 3201 2310 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.007910013536 0.674160659851 3 6 6 2 1023 0132 3201 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.763394031307 0.286859689582 5 5 6 6 2310 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.281705954844 0.777253361642 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(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' : negation(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' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : negation(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' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0101_6'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0011_0']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_6' : negation(d['c_0011_3']), '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_0'], 'c_1001_5' : negation(d['c_0101_6']), 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : d['c_0101_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : negation(d['c_0101_5']), 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0101_5'], '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_3, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 4212013941/306774325*c_0101_6^17 - 25105449294/306774325*c_0101_6^15 + 139901986946/306774325*c_0101_6^13 + 187713980199/306774325*c_0101_6^11 + 75636841751/306774325*c_0101_6^9 - 415224789027/61354865*c_0101_6^7 - 143310395919/23598025*c_0101_6^5 - 539119913201/306774325*c_0101_6^3 - 48708870822/306774325*c_0101_6, c_0011_0 - 1, c_0011_3 + 5090378/961675*c_0101_6^17 + 29056182/961675*c_0101_6^15 - 176461833/961675*c_0101_6^13 - 182619392/961675*c_0101_6^11 - 43501028/961675*c_0101_6^9 + 504410293/192335*c_0101_6^7 + 124255537/73975*c_0101_6^5 + 216970958/961675*c_0101_6^3 - 14820269/961675*c_0101_6, c_0101_0 - 131227/423137*c_0101_6^16 - 3655719/2115685*c_0101_6^14 + 23196182/2115685*c_0101_6^12 + 4016355/423137*c_0101_6^10 + 4313506/2115685*c_0101_6^8 - 324389823/2115685*c_0101_6^6 - 12444563/162745*c_0101_6^4 - 4861856/423137*c_0101_6^2 - 321209/2115685, c_0101_1 + 2840507/10578425*c_0101_6^16 + 15652233/10578425*c_0101_6^14 - 101385377/10578425*c_0101_6^12 - 80893898/10578425*c_0101_6^10 - 14624882/10578425*c_0101_6^8 + 281221067/2115685*c_0101_6^6 + 48029528/813725*c_0101_6^4 + 79767827/10578425*c_0101_6^2 - 4122036/10578425, c_0101_2 - 12420508/961675*c_0101_6^17 - 70416497/961675*c_0101_6^15 + 433186023/961675*c_0101_6^13 + 428276962/961675*c_0101_6^11 + 93420088/961675*c_0101_6^9 - 1231028771/192335*c_0101_6^7 - 284875572/73975*c_0101_6^5 - 438522363/961675*c_0101_6^3 + 40487089/961675*c_0101_6, c_0101_5 - 10691/10578425*c_0101_6^16 - 970544/10578425*c_0101_6^14 - 4384529/10578425*c_0101_6^12 + 34551899/10578425*c_0101_6^10 + 19249051/10578425*c_0101_6^8 - 2158217/2115685*c_0101_6^6 - 35817394/813725*c_0101_6^4 - 121292651/10578425*c_0101_6^2 + 13000103/10578425, c_0101_6^18 + 6*c_0101_6^16 - 33*c_0101_6^14 - 46*c_0101_6^12 - 19*c_0101_6^10 + 493*c_0101_6^8 + 462*c_0101_6^6 + 135*c_0101_6^4 + 9*c_0101_6^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB