Magma V2.19-8 Tue Aug 20 2013 16:14:31 on localhost [Seed = 3153733563] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s508 geometric_solution 4.89647279 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 1 0 0 0132 3201 2031 1302 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 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 0.497465020173 0.186245972135 0 2 0 3 0132 0132 2310 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 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 0.853428296007 1.007361155714 4 1 5 3 0132 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.197417663341 1.029776455831 2 5 1 4 3012 1023 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1.197417663341 1.029776455831 2 4 4 3 0132 3201 2310 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.122028595493 0.646612752606 3 5 5 2 1023 3201 2310 0132 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 0.682669934897 0.431955297259 ==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_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_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_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0011_0']), '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_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_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_5']), 'c_1001_4' : negation(d['c_0011_3']), '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_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 7 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 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 411501411/6424832*c_0101_5^10 - 415247355/6424832*c_0101_5^9 + 320953653/3212416*c_0101_5^8 - 74311789/3212416*c_0101_5^7 - 562100551/6424832*c_0101_5^6 + 1023482729/6424832*c_0101_5^5 - 2055589345/6424832*c_0101_5^4 + 787036573/6424832*c_0101_5^3 + 791349/100388*c_0101_5^2 - 442413987/6424832*c_0101_5 + 156245241/6424832, c_0011_0 - 1, c_0011_3 + 981765/803104*c_0101_5^10 + 499035/803104*c_0101_5^9 + 60059/401552*c_0101_5^8 + 810565/401552*c_0101_5^7 - 1699697/803104*c_0101_5^6 + 438743/803104*c_0101_5^5 - 1658919/803104*c_0101_5^4 - 4645677/803104*c_0101_5^3 + 68301/25097*c_0101_5^2 + 12475/803104*c_0101_5 - 558921/803104, c_0101_0 + 4299543/1606208*c_0101_5^10 - 1514631/1606208*c_0101_5^9 + 2676553/803104*c_0101_5^8 + 714391/803104*c_0101_5^7 - 5049723/1606208*c_0101_5^6 + 6062061/1606208*c_0101_5^5 - 17070605/1606208*c_0101_5^4 - 2675903/1606208*c_0101_5^3 - 20838/25097*c_0101_5^2 - 2176919/1606208*c_0101_5 - 340531/1606208, c_0101_1 + 20143755/803104*c_0101_5^10 - 19997415/803104*c_0101_5^9 + 15685161/401552*c_0101_5^8 - 3735245/401552*c_0101_5^7 - 26798087/803104*c_0101_5^6 + 48822733/803104*c_0101_5^5 - 100014337/803104*c_0101_5^4 + 37903241/803104*c_0101_5^3 + 10912/25097*c_0101_5^2 - 19430155/803104*c_0101_5 + 6372085/803104, c_0101_2 - 2331963/401552*c_0101_5^10 + 2225619/401552*c_0101_5^9 - 1612125/200776*c_0101_5^8 + 425789/200776*c_0101_5^7 + 3405935/401552*c_0101_5^6 - 5210769/401552*c_0101_5^5 + 11039529/401552*c_0101_5^4 - 4000085/401552*c_0101_5^3 - 62670/25097*c_0101_5^2 + 1372331/401552*c_0101_5 - 690433/401552, c_0101_5^11 - 4/3*c_0101_5^10 + 17/9*c_0101_5^9 - 8/9*c_0101_5^8 - 11/9*c_0101_5^7 + 26/9*c_0101_5^6 - 52/9*c_0101_5^5 + 32/9*c_0101_5^4 - 5/9*c_0101_5^3 - c_0101_5^2 + 2/3*c_0101_5 - 1/9 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB