Magma V2.19-8 Tue Aug 20 2013 16:16:08 on localhost [Seed = 4021187375] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0385 geometric_solution 4.45023251 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 1 2 0132 0132 1023 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.856028115958 0.074388701465 0 3 0 3 0132 0132 1023 1023 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.795088814192 0.192646986778 2 0 2 0 2310 0132 3201 1023 0 0 0 0 0 0 0 0 0 0 1 -1 -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 0.882209578727 0.046042529025 4 1 5 1 0132 0132 0132 1023 0 0 0 0 0 0 -1 1 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 0.953968595207 0.727863638374 3 6 5 5 0132 0132 3012 1230 0 0 0 0 0 0 0 0 0 0 1 -1 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 -1 1 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 1.240393043273 1.120580523643 4 4 6 3 3012 1230 0132 0132 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 0 -1 1 0 0 0 0 0 1 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.240393043273 1.120580523643 6 4 6 5 2031 0132 1302 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 1 0 -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 0.414473471647 0.611435816617 ==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' : negation(d['1']), 's_3_4' : negation(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_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' : negation(d['1']), 's_0_5' : negation(d['1']), 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_0']), 'c_1100_5' : negation(d['c_0011_0']), 'c_1100_4' : d['c_0011_5'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : negation(d['c_0011_0']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0011_5'], '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_5'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_6' : 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_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0011_5']), 'c_1001_4' : negation(d['c_0011_5']), 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : negation(d['c_0101_2']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_4'], 'c_0110_2' : negation(d['c_0101_2']), 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : d['c_0011_5'], 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : negation(d['c_0011_5']), 'c_1010_5' : d['c_0101_4'], 'c_1010_4' : d['c_0101_5'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : d['c_0101_4'], 'c_1010_0' : negation(d['c_0101_2'])})} 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_5, c_0101_0, c_0101_1, c_0101_2, c_0101_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 26 Groebner basis: [ t + 263130399/221792*c_0101_5^25 + 66457835/221792*c_0101_5^24 - 2394997485/110896*c_0101_5^23 - 79647409/27724*c_0101_5^22 + 9870945337/55448*c_0101_5^21 + 281931167/55448*c_0101_5^20 - 49007220131/55448*c_0101_5^19 + 12276477003/221792*c_0101_5^18 + 654663380553/221792*c_0101_5^17 - 46821065779/110896*c_0101_5^16 - 775603257503/110896*c_0101_5^15 + 166364348919/110896*c_0101_5^14 + 334150298587/27724*c_0101_5^13 - 25669876775/7648*c_0101_5^12 - 1685087070069/110896*c_0101_5^11 + 566230297887/110896*c_0101_5^10 + 192042602573/13862*c_0101_5^9 - 1191235669723/221792*c_0101_5^8 - 490679126355/55448*c_0101_5^7 + 851232816703/221792*c_0101_5^6 + 823602982309/221792*c_0101_5^5 - 389644647681/221792*c_0101_5^4 - 100404220775/110896*c_0101_5^3 + 25346377881/55448*c_0101_5^2 + 2655485211/27724*c_0101_5 - 702702723/13862, c_0011_0 - 1, c_0011_5 - c_0101_5^2 + 1, c_0101_0 - 1/16*c_0101_5^25 - 19/16*c_0101_5^24 + 81/4*c_0101_5^22 + 31/4*c_0101_5^21 - 627/4*c_0101_5^20 - 277/4*c_0101_5^19 + 11731/16*c_0101_5^18 + 4995/16*c_0101_5^17 - 4627/2*c_0101_5^16 - 7093/8*c_0101_5^15 + 41545/8*c_0101_5^14 + 6859/4*c_0101_5^13 - 135979/16*c_0101_5^12 - 9289/4*c_0101_5^11 + 81633/8*c_0101_5^10 + 8811/4*c_0101_5^9 - 142347/16*c_0101_5^8 - 11403/8*c_0101_5^7 + 87719/16*c_0101_5^6 + 9487/16*c_0101_5^5 - 36235/16*c_0101_5^4 - 565/4*c_0101_5^3 + 1151/2*c_0101_5^2 + 29/2*c_0101_5 - 70, c_0101_1 + 333/16*c_0101_5^25 + 315/16*c_0101_5^24 - 359*c_0101_5^23 - 297*c_0101_5^22 + 11231/4*c_0101_5^21 + 8035/4*c_0101_5^20 - 52983/4*c_0101_5^19 - 129463/16*c_0101_5^18 + 672877/16*c_0101_5^17 + 21567*c_0101_5^16 - 757393/8*c_0101_5^15 - 318693/8*c_0101_5^14 + 618581/4*c_0101_5^13 + 826535/16*c_0101_5^12 - 183954*c_0101_5^11 - 371063/8*c_0101_5^10 + 627741/4*c_0101_5^9 + 438695/16*c_0101_5^8 - 740027/8*c_0101_5^7 - 149895/16*c_0101_5^6 + 559025/16*c_0101_5^5 + 17911/16*c_0101_5^4 - 29521/4*c_0101_5^3 + 1047/4*c_0101_5^2 + 642*c_0101_5 - 70, c_0101_2 - 333/16*c_0101_5^25 + 771/16*c_0101_5^24 + 3415/8*c_0101_5^23 - 3549/4*c_0101_5^22 - 15425/4*c_0101_5^21 + 29531/4*c_0101_5^20 + 82161/4*c_0101_5^19 - 591233/16*c_0101_5^18 - 1159063/16*c_0101_5^17 + 994301/8*c_0101_5^16 + 1432371/8*c_0101_5^15 - 2370829/8*c_0101_5^14 - 637363/2*c_0101_5^13 + 8215897/16*c_0101_5^12 + 3291549/8*c_0101_5^11 - 5202415/8*c_0101_5^10 - 381257*c_0101_5^9 + 9516601/16*c_0101_5^8 + 245708*c_0101_5^7 - 6087065/16*c_0101_5^6 - 1652379/16*c_0101_5^5 + 2549547/16*c_0101_5^4 + 200537/8*c_0101_5^3 - 77235/2*c_0101_5^2 - 2630*c_0101_5 + 4046, c_0101_4 - 1/16*c_0101_5^25 - 1/16*c_0101_5^24 + 9/8*c_0101_5^23 + c_0101_5^22 - 37/4*c_0101_5^21 - 29/4*c_0101_5^20 + 185/4*c_0101_5^19 + 507/16*c_0101_5^18 - 2515/16*c_0101_5^17 - 745/8*c_0101_5^16 + 3069/8*c_0101_5^15 + 1551/8*c_0101_5^14 - 691*c_0101_5^13 - 4683/16*c_0101_5^12 + 7425/8*c_0101_5^11 + 2575/8*c_0101_5^10 - 926*c_0101_5^9 - 4075/16*c_0101_5^8 + 674*c_0101_5^7 + 2247/16*c_0101_5^6 - 5519/16*c_0101_5^5 - 813/16*c_0101_5^4 + 923/8*c_0101_5^3 + 43/4*c_0101_5^2 - 20*c_0101_5 - 1, c_0101_5^26 + c_0101_5^25 - 18*c_0101_5^24 - 16*c_0101_5^23 + 148*c_0101_5^22 + 116*c_0101_5^21 - 740*c_0101_5^20 - 507*c_0101_5^19 + 2515*c_0101_5^18 + 1490*c_0101_5^17 - 6138*c_0101_5^16 - 3102*c_0101_5^15 + 11056*c_0101_5^14 + 4683*c_0101_5^13 - 14850*c_0101_5^12 - 5150*c_0101_5^11 + 14816*c_0101_5^10 + 4075*c_0101_5^9 - 10784*c_0101_5^8 - 2247*c_0101_5^7 + 5519*c_0101_5^6 + 813*c_0101_5^5 - 1862*c_0101_5^4 - 172*c_0101_5^3 + 368*c_0101_5^2 + 16*c_0101_5 - 32 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB