Magma V2.19-8 Tue Aug 20 2013 16:17:28 on localhost [Seed = 829468139] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1702 geometric_solution 5.41494038 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 3201 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 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 0.279992511530 0.163562540736 2 0 3 0 0132 2310 0132 0132 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 1 -1 -1 0 1 0 0 0 0 0 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.057178426841 1.391975800217 1 4 5 3 0132 0132 0132 1230 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 1 0 -1 1 0 0 -1 2 -1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.992504488884 1.252695380109 2 5 4 1 3012 1023 3201 0132 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 1 0 -1 1 0 0 -1 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.992504488884 1.252695380109 3 2 4 4 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 -1 0 1 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 0.389853450131 0.484734284680 3 6 6 2 1023 0132 1023 0132 0 0 0 0 0 0 0 0 -1 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 -1 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 0.776350295139 0.491160793210 6 5 5 6 3012 0132 1023 1230 0 0 0 0 0 0 -1 1 -1 0 0 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 -1 1 -1 0 0 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 1.577740785523 0.503662331431 ==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' : negation(d['c_0011_3']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0101_4'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0101_4']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : negation(d['c_0011_3']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : negation(d['c_0101_4']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : negation(d['c_0101_4']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : negation(d['c_0101_3']), 'c_0110_6' : negation(d['c_0011_3']), 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : negation(d['c_0101_4']), 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : negation(d['c_0011_0']), '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_1, c_0011_3, c_0101_0, c_0101_3, c_0101_4, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 24 Groebner basis: [ t - 577885191074580/8655331068961*c_0101_6^23 + 5164535604522632/8655331068961*c_0101_6^21 - 17009498468578071/8655331068961*c_0101_6^19 + 49190182206735982/8655331068961*c_0101_6^17 - 161550435004581943/8655331068961*c_0101_6^15 + 306943695835855260/8655331068961*c_0101_6^13 - 476045421204065077/8655331068961*c_0101_6^11 + 854468288841811916/8655331068961*c_0101_6^9 - 984475518233473373/8655331068961*c_0101_6^7 + 567254514208863778/8655331068961*c_0101_6^5 - 147033605983807610/8655331068961*c_0101_6^3 + 3056872446028258/8655331068961*c_0101_6, c_0011_0 - 1, c_0011_1 + 397671667248/8655331068961*c_0101_6^22 - 3363326618883/8655331068961*c_0101_6^20 + 10148041207932/8655331068961*c_0101_6^18 - 29372425028489/8655331068961*c_0101_6^16 + 97905258790720/8655331068961*c_0101_6^14 - 167009160326427/8655331068961*c_0101_6^12 + 257080563032125/8655331068961*c_0101_6^10 - 473598422992814/8655331068961*c_0101_6^8 + 469690357083733/8655331068961*c_0101_6^6 - 201468897212764/8655331068961*c_0101_6^4 + 10349023707057/8655331068961*c_0101_6^2 + 5945494401422/8655331068961, c_0011_3 + 145037124554/8655331068961*c_0101_6^22 - 1050119671141/8655331068961*c_0101_6^20 + 2373943291435/8655331068961*c_0101_6^18 - 7515086368351/8655331068961*c_0101_6^16 + 26093198975033/8655331068961*c_0101_6^14 - 27386729485692/8655331068961*c_0101_6^12 + 54310020132499/8655331068961*c_0101_6^10 - 106876221461636/8655331068961*c_0101_6^8 + 34838135721950/8655331068961*c_0101_6^6 - 19926995681598/8655331068961*c_0101_6^4 + 15055421732585/8655331068961*c_0101_6^2 - 3147627631144/8655331068961, c_0101_0 - 722675741067/8655331068961*c_0101_6^23 + 6388805412423/8655331068961*c_0101_6^21 - 20716768825771/8655331068961*c_0101_6^19 + 60009858443503/8655331068961*c_0101_6^17 - 197618993050790/8655331068961*c_0101_6^15 + 368988426031758/8655331068961*c_0101_6^13 - 573690000073670/8655331068961*c_0101_6^11 + 1034662295702589/8655331068961*c_0101_6^9 - 1168369402239098/8655331068961*c_0101_6^7 + 662006993551617/8655331068961*c_0101_6^5 - 178932828412242/8655331068961*c_0101_6^3 + 23927488145553/8655331068961*c_0101_6, c_0101_3 - 1987160926472/8655331068961*c_0101_6^23 + 17602052928180/8655331068961*c_0101_6^21 - 57215004581516/8655331068961*c_0101_6^19 + 165597890424458/8655331068961*c_0101_6^17 - 545312032169336/8655331068961*c_0101_6^15 + 1020806645656433/8655331068961*c_0101_6^13 - 1584340700348365/8655331068961*c_0101_6^11 + 2859726915935034/8655331068961*c_0101_6^9 - 3233028339670749/8655331068961*c_0101_6^7 + 1830154126984777/8655331068961*c_0101_6^5 - 489455844655013/8655331068961*c_0101_6^3 + 30759568168326/8655331068961*c_0101_6, c_0101_4 - 289440099649/8655331068961*c_0101_6^22 + 2400008770584/8655331068961*c_0101_6^20 - 7131060948916/8655331068961*c_0101_6^18 + 21328705911742/8655331068961*c_0101_6^16 - 70785247497885/8655331068961*c_0101_6^14 + 118798859026357/8655331068961*c_0101_6^12 - 197804735406627/8655331068961*c_0101_6^10 + 355661461382782/8655331068961*c_0101_6^8 - 351502847266747/8655331068961*c_0101_6^6 + 221468590488304/8655331068961*c_0101_6^4 - 65784983535307/8655331068961*c_0101_6^2 + 4547314423986/8655331068961, c_0101_6^24 - 9*c_0101_6^22 + 30*c_0101_6^20 - 87*c_0101_6^18 + 285*c_0101_6^16 - 549*c_0101_6^14 + 858*c_0101_6^12 - 1532*c_0101_6^10 + 1799*c_0101_6^8 - 1093*c_0101_6^6 + 321*c_0101_6^4 - 24*c_0101_6^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB