Magma V2.19-8 Tue Aug 20 2013 16:14:23 on localhost [Seed = 3381155307] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s382 geometric_solution 4.61096252 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 0 1 1 0 3201 0132 1023 2310 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 0 0 0 0 -1 0 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 0 0 0 1.132056650214 0.974736137571 2 0 0 3 0132 0132 1023 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 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 0.378242776000 0.258834917862 1 4 3 3 0132 0132 1302 3201 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.321217546952 0.811485413072 2 2 1 4 2031 2310 0132 0132 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 -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 0.321217546952 0.811485413072 5 2 3 5 0132 0132 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.102431876584 0.668748512615 4 4 5 5 0132 2310 1230 3012 0 0 0 0 0 0 1 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.656357541864 0.306414731411 ==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' : 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' : negation(d['1']), 's_2_3' : negation(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' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : negation(d['1']), 'c_1100_5' : d['c_0101_4'], 'c_1100_4' : negation(d['c_0011_0']), 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], '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_4']), 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_0101_4'], 'c_0110_1' : negation(d['c_0011_3']), 'c_0110_0' : negation(d['c_0101_0']), 'c_0110_3' : d['c_0101_4'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_4'], 'c_0110_4' : d['c_0101_5'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : 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 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_0, c_0101_1, c_0101_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 17 Groebner basis: [ t + 1769788463326/118473639799*c_0101_5^16 - 6954644091143/473894559196*c_0101_5^15 - 245080306167893/473894559196*c_0101_5^14 - 382034715527267/473894559196*c_0101_5^13 + 581234706802159/236947279598*c_0101_5^12 + 694512910133950/118473639799*c_0101_5^11 - 1139110276941681/473894559196*c_0101_5^10 - 5640593407902103/473894559196*c_0101_5^9 - 95594349544209/118473639799*c_0101_5^8 + 2572223769213747/236947279598*c_0101_5^7 + 1225173177174341/473894559196*c_0101_5^6 - 2372715421066293/473894559196*c_0101_5^5 - 230283898255393/118473639799*c_0101_5^4 + 524014557537941/473894559196*c_0101_5^3 + 290663382973417/473894559196*c_0101_5^2 - 45393286300801/473894559196*c_0101_5 - 22788456330307/473894559196, c_0011_0 - 1, c_0011_3 - 7560962692963/473894559196*c_0101_5^16 + 10120129258991/473894559196*c_0101_5^15 + 256126782953021/473894559196*c_0101_5^14 + 160381402434329/236947279598*c_0101_5^13 - 322429708488284/118473639799*c_0101_5^12 - 2460377387221257/473894559196*c_0101_5^11 + 1730272102970317/473894559196*c_0101_5^10 + 1243644899851149/118473639799*c_0101_5^9 - 350867289996995/236947279598*c_0101_5^8 - 4392750429750275/473894559196*c_0101_5^7 - 350590972234521/473894559196*c_0101_5^6 + 499493495266977/118473639799*c_0101_5^5 + 510361658861829/473894559196*c_0101_5^4 - 453161498161283/473894559196*c_0101_5^3 - 171490976863813/473894559196*c_0101_5^2 + 39674601025613/473894559196*c_0101_5 + 2701918308974/118473639799, c_0101_0 - 3464718597911/473894559196*c_0101_5^16 + 4220325764405/473894559196*c_0101_5^15 + 118083058585371/473894559196*c_0101_5^14 + 40198170773866/118473639799*c_0101_5^13 - 144604100033021/118473639799*c_0101_5^12 - 1201697594302581/473894559196*c_0101_5^11 + 686054485042031/473894559196*c_0101_5^10 + 1202908335140297/236947279598*c_0101_5^9 - 52020689547531/236947279598*c_0101_5^8 - 2113860095845975/473894559196*c_0101_5^7 - 344776672061311/473894559196*c_0101_5^6 + 472587319417467/236947279598*c_0101_5^5 + 314557289642893/473894559196*c_0101_5^4 - 202833950128985/473894559196*c_0101_5^3 - 96277145356911/473894559196*c_0101_5^2 + 15968430146655/473894559196*c_0101_5 + 2942786318017/236947279598, c_0101_1 - 4408861358947/236947279598*c_0101_5^16 + 11802914487787/473894559196*c_0101_5^15 + 298642414257181/473894559196*c_0101_5^14 + 374161871240241/473894559196*c_0101_5^13 - 751153881272495/236947279598*c_0101_5^12 - 1433894232069159/236947279598*c_0101_5^11 + 2008908781921093/473894559196*c_0101_5^10 + 5790353518403693/473894559196*c_0101_5^9 - 200972435803345/118473639799*c_0101_5^8 - 1277052420363872/118473639799*c_0101_5^7 - 425522431569029/473894559196*c_0101_5^6 + 2325737977162295/473894559196*c_0101_5^5 + 303141336701191/236947279598*c_0101_5^4 - 529301953649349/473894559196*c_0101_5^3 - 202346368426849/473894559196*c_0101_5^2 + 46252552166717/473894559196*c_0101_5 + 12864109196249/473894559196, c_0101_4 + 5832530948001/473894559196*c_0101_5^16 - 7657564566679/473894559196*c_0101_5^15 - 197807416882361/473894559196*c_0101_5^14 - 63104764578979/118473639799*c_0101_5^13 + 247403381306724/118473639799*c_0101_5^12 + 1923795550259631/473894559196*c_0101_5^11 - 1293314932277753/473894559196*c_0101_5^10 - 1939160509994167/236947279598*c_0101_5^9 + 230634904562675/236947279598*c_0101_5^8 + 3423548155652989/473894559196*c_0101_5^7 + 337214283641693/473894559196*c_0101_5^6 - 779298363467467/236947279598*c_0101_5^5 - 423012099883203/473894559196*c_0101_5^4 + 352247654631047/473894559196*c_0101_5^3 + 139393519468253/473894559196*c_0101_5^2 - 30499554632037/473894559196*c_0101_5 - 4645808638545/236947279598, c_0101_5^17 - 2*c_0101_5^16 - 33*c_0101_5^15 - 20*c_0101_5^14 + 199*c_0101_5^13 + 213*c_0101_5^12 - 446*c_0101_5^11 - 510*c_0101_5^10 + 531*c_0101_5^9 + 527*c_0101_5^8 - 340*c_0101_5^7 - 302*c_0101_5^6 + 108*c_0101_5^5 + 108*c_0101_5^4 - 17*c_0101_5^3 - 21*c_0101_5^2 + 2*c_0101_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB