Magma V2.19-8 Tue Aug 20 2013 16:18:13 on localhost [Seed = 4223297216] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2430 geometric_solution 5.77744755 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 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 -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 0.878600791856 0.990724757333 0 5 4 5 0132 0132 2310 2310 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 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 0.551937763618 0.163534923767 2 0 2 4 2031 0132 1302 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0.702986434271 1.409506464371 5 6 6 0 2310 0132 3201 0132 0 0 0 0 0 0 -1 1 1 0 -1 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 1 0 -1 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 1.026258896278 0.627493033155 2 1 0 6 3201 3201 0132 1302 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 0 -1 1 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 0.878600791856 0.990724757333 1 1 3 6 3201 0132 3201 0213 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.905311491420 0.422944884530 3 3 4 5 2310 0132 2031 0213 0 0 0 0 0 0 0 0 1 0 -1 0 1 -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 1 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 0.290745726254 0.433664562739 ==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' : d['c_1001_1'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0011_3'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : d['c_0011_3'], 'c_0101_5' : negation(d['c_0101_0']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_0'], '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' : 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' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_6' : negation(d['c_0110_4']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0110_4']), '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_0101_3'], 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : negation(d['c_0101_3']), 'c_1010_6' : negation(d['c_0011_3']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_1001_1']), 'c_1010_3' : negation(d['c_0110_4']), 'c_1010_2' : negation(d['c_0110_4']), 'c_1010_1' : negation(d['c_0101_3']), '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_0101_0, c_0101_1, c_0101_3, c_0110_4, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 23579079/2764073*c_1001_1^12 + 133305374/2764073*c_1001_1^11 + 120329714/2764073*c_1001_1^10 - 553183068/2764073*c_1001_1^9 - 939585291/2764073*c_1001_1^8 + 680125675/2764073*c_1001_1^7 + 1748669879/2764073*c_1001_1^6 - 155685482/2764073*c_1001_1^5 - 1462240626/2764073*c_1001_1^4 - 78084478/2764073*c_1001_1^3 + 671865955/2764073*c_1001_1^2 + 61663302/2764073*c_1001_1 - 4922278/2764073, c_0011_0 - 1, c_0011_3 + 24045/212621*c_1001_1^12 + 143099/212621*c_1001_1^11 + 179553/212621*c_1001_1^10 - 437565/212621*c_1001_1^9 - 1047298/212621*c_1001_1^8 + 99582/212621*c_1001_1^7 + 1627008/212621*c_1001_1^6 + 933919/212621*c_1001_1^5 - 1100954/212621*c_1001_1^4 - 1200511/212621*c_1001_1^3 + 282660/212621*c_1001_1^2 + 549794/212621*c_1001_1 + 65768/212621, c_0101_0 - c_1001_1, c_0101_1 - 62106/212621*c_1001_1^12 - 349238/212621*c_1001_1^11 - 302320/212621*c_1001_1^10 + 1472930/212621*c_1001_1^9 + 2348910/212621*c_1001_1^8 - 2137932/212621*c_1001_1^7 - 4596323/212621*c_1001_1^6 + 1215144/212621*c_1001_1^5 + 4355937/212621*c_1001_1^4 - 285264/212621*c_1001_1^3 - 2141368/212621*c_1001_1^2 - 8969/212621*c_1001_1 + 129919/212621, c_0101_3 - 931/212621*c_1001_1^12 + 38531/212621*c_1001_1^11 + 243365/212621*c_1001_1^10 + 291771/212621*c_1001_1^9 - 740236/212621*c_1001_1^8 - 1485332/212621*c_1001_1^7 + 550355/212621*c_1001_1^6 + 2044678/212621*c_1001_1^5 + 278956/212621*c_1001_1^4 - 1423790/212621*c_1001_1^3 - 429687/212621*c_1001_1^2 + 473095/212621*c_1001_1 + 98905/212621, c_0110_4 - 2731/212621*c_1001_1^12 - 59856/212621*c_1001_1^11 - 258322/212621*c_1001_1^10 - 138252/212621*c_1001_1^9 + 1110625/212621*c_1001_1^8 + 1457910/212621*c_1001_1^7 - 1510498/212621*c_1001_1^6 - 2619334/212621*c_1001_1^5 + 837018/212621*c_1001_1^4 + 1989228/212621*c_1001_1^3 - 521411/212621*c_1001_1^2 - 839146/212621*c_1001_1 + 27264/212621, c_1001_1^13 + 6*c_1001_1^12 + 7*c_1001_1^11 - 22*c_1001_1^10 - 48*c_1001_1^9 + 17*c_1001_1^8 + 86*c_1001_1^7 + 15*c_1001_1^6 - 69*c_1001_1^5 - 21*c_1001_1^4 + 32*c_1001_1^3 + 10*c_1001_1^2 - 2*c_1001_1 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB