Magma V2.19-8 Tue Aug 20 2013 16:16:24 on localhost [Seed = 1966401945] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0681 geometric_solution 4.64904219 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 3 0132 0132 0132 2310 0 0 0 0 0 1 0 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.147429185200 1.223021295585 0 2 4 2 0132 3012 0132 1302 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.816241241837 0.596826541619 1 0 1 4 1230 0132 2031 2310 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 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 0.816241241837 0.596826541619 0 5 5 0 3201 0132 3201 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.273854560462 0.171360099639 2 6 6 1 3201 0132 3201 0132 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 -1 0 1 0 -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 0.327141872034 0.266787038697 3 3 5 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5.456971407598 1.693883458681 4 4 6 6 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 1 0 0 0 0 0 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.955569715727 1.915209433665 ==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_0101_6'], 'c_1100_5' : d['c_0101_5'], 'c_1100_4' : d['c_0011_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0011_4'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_0'], 'c_0101_3' : negation(d['c_0101_1']), 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), '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_1']), 'c_1001_4' : negation(d['c_0101_6']), 'c_1001_6' : d['c_0011_0'], 'c_1001_1' : d['c_0011_0'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_5']), 'c_1001_2' : negation(d['c_0101_0']), '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_0011_0']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0011_0']), 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0011_0'], 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0011_4']), '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_3, c_0011_4, c_0101_0, c_0101_1, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 24 Groebner basis: [ t + 167844/5*c_0101_6^23 - 615779/5*c_0101_6^22 - 2446911/5*c_0101_6^21 + 8199074/5*c_0101_6^20 + 19780903/5*c_0101_6^19 - 46340648/5*c_0101_6^18 - 102860723/5*c_0101_6^17 + 134146011/5*c_0101_6^16 + 333448994/5*c_0101_6^15 - 193105348/5*c_0101_6^14 - 655338298/5*c_0101_6^13 + 91645587/5*c_0101_6^12 + 155194256*c_0101_6^11 + 92568693/5*c_0101_6^10 - 554252701/5*c_0101_6^9 - 155336188/5*c_0101_6^8 + 237663586/5*c_0101_6^7 + 18564542*c_0101_6^6 - 59271722/5*c_0101_6^5 - 28280673/5*c_0101_6^4 + 7841413/5*c_0101_6^3 + 4378138/5*c_0101_6^2 - 419368/5*c_0101_6 - 274203/5, c_0011_0 - 1, c_0011_3 - 918*c_0101_6^23 + 3278*c_0101_6^22 + 13829*c_0101_6^21 - 43993*c_0101_6^20 - 114118*c_0101_6^19 + 248912*c_0101_6^18 + 599014*c_0101_6^17 - 713161*c_0101_6^16 - 1954255*c_0101_6^15 + 982647*c_0101_6^14 + 3875628*c_0101_6^13 - 325500*c_0101_6^12 - 4657956*c_0101_6^11 - 768584*c_0101_6^10 + 3404458*c_0101_6^9 + 1090300*c_0101_6^8 - 1507505*c_0101_6^7 - 643189*c_0101_6^6 + 392376*c_0101_6^5 + 199921*c_0101_6^4 - 54864*c_0101_6^3 - 32094*c_0101_6^2 + 3152*c_0101_6 + 2103, c_0011_4 + c_0101_6^23 - 3*c_0101_6^22 - 17*c_0101_6^21 + 39*c_0101_6^20 + 150*c_0101_6^19 - 196*c_0101_6^18 - 793*c_0101_6^17 + 383*c_0101_6^16 + 2498*c_0101_6^15 + 191*c_0101_6^14 - 4603*c_0101_6^13 - 2063*c_0101_6^12 + 4864*c_0101_6^11 + 3592*c_0101_6^10 - 2813*c_0101_6^9 - 3049*c_0101_6^8 + 738*c_0101_6^7 + 1437*c_0101_6^6 + 27*c_0101_6^5 - 381*c_0101_6^4 - 64*c_0101_6^3 + 53*c_0101_6^2 + 13*c_0101_6 - 3, c_0101_0 + 47*c_0101_6^23 - 160*c_0101_6^22 - 739*c_0101_6^21 + 2146*c_0101_6^20 + 6261*c_0101_6^19 - 11928*c_0101_6^18 - 33136*c_0101_6^17 + 32330*c_0101_6^16 + 107946*c_0101_6^15 - 36543*c_0101_6^14 - 212859*c_0101_6^13 - 11429*c_0101_6^12 + 253805*c_0101_6^11 + 74822*c_0101_6^10 - 183804*c_0101_6^9 - 83944*c_0101_6^8 + 80586*c_0101_6^7 + 47183*c_0101_6^6 - 20771*c_0101_6^5 - 14847*c_0101_6^4 + 2875*c_0101_6^3 + 2538*c_0101_6^2 - 161*c_0101_6 - 188, c_0101_1 - 20*c_0101_6^23 + 63*c_0101_6^22 + 330*c_0101_6^21 - 828*c_0101_6^20 - 2866*c_0101_6^19 + 4331*c_0101_6^18 + 15122*c_0101_6^17 - 9843*c_0101_6^16 - 48018*c_0101_6^15 + 3291*c_0101_6^14 + 90135*c_0101_6^13 + 27260*c_0101_6^12 - 98866*c_0101_6^11 - 55185*c_0101_6^10 + 62172*c_0101_6^9 + 48949*c_0101_6^8 - 21094*c_0101_6^7 - 23477*c_0101_6^6 + 3033*c_0101_6^5 + 6264*c_0101_6^4 + 110*c_0101_6^3 - 871*c_0101_6^2 - 58*c_0101_6 + 49, c_0101_5 - 9*c_0101_6^23 - 370*c_0101_6^22 + 1679*c_0101_6^21 + 5091*c_0101_6^20 - 21429*c_0101_6^19 - 40296*c_0101_6^18 + 120601*c_0101_6^17 + 209898*c_0101_6^16 - 358185*c_0101_6^15 - 679575*c_0101_6^14 + 568005*c_0101_6^13 + 1313472*c_0101_6^12 - 438238*c_0101_6^11 - 1497945*c_0101_6^10 + 88195*c_0101_6^9 + 1005260*c_0101_6^8 + 89377*c_0101_6^7 - 394710*c_0101_6^6 - 63599*c_0101_6^5 + 88113*c_0101_6^4 + 15567*c_0101_6^3 - 10310*c_0101_6^2 - 1356*c_0101_6 + 497, c_0101_6^24 - 3*c_0101_6^23 - 17*c_0101_6^22 + 39*c_0101_6^21 + 150*c_0101_6^20 - 196*c_0101_6^19 - 793*c_0101_6^18 + 383*c_0101_6^17 + 2498*c_0101_6^16 + 191*c_0101_6^15 - 4603*c_0101_6^14 - 2063*c_0101_6^13 + 4864*c_0101_6^12 + 3592*c_0101_6^11 - 2813*c_0101_6^10 - 3049*c_0101_6^9 + 738*c_0101_6^8 + 1437*c_0101_6^7 + 27*c_0101_6^6 - 381*c_0101_6^5 - 64*c_0101_6^4 + 53*c_0101_6^3 + 14*c_0101_6^2 - 3*c_0101_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB