Magma V2.19-8 Tue Aug 20 2013 16:17:07 on localhost [Seed = 475889871] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1360 geometric_solution 5.22551557 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 0 0 1 0132 1230 3012 3201 0 0 0 0 0 -1 0 1 -1 0 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 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 -0.267022321213 0.101245524539 0 0 2 2 0132 2310 2310 0132 0 0 0 0 0 -1 1 0 1 0 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 -1 1 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 2.490030993848 1.178823120783 3 1 1 4 0132 3201 0132 0132 0 0 0 0 0 0 0 0 0 0 1 -1 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 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 0.699191143269 0.821697692203 2 5 4 6 0132 0132 3201 0132 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 0.006310452758 0.776679623985 3 6 2 5 2310 1023 0132 2310 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 0 1 -1 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 0.006310452758 0.776679623985 4 3 5 5 3201 0132 2031 1302 0 0 0 0 0 -1 0 1 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 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 0.286139386607 0.430461938689 4 6 3 6 1023 1302 0132 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.826364167126 0.998781879814 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_2_0' : negation(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' : negation(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' : negation(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_4']), 'c_1100_5' : d['c_0101_3'], 'c_1100_4' : d['c_0011_2'], 's_3_6' : negation(d['1']), 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_3'], 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_2'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_4'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0110_5']), 'c_1001_4' : d['c_0101_0'], 'c_1001_6' : negation(d['c_0110_5']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_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' : d['c_0101_3'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0101_3']), 'c_0110_6' : negation(d['c_0110_5']), 'c_1010_6' : d['c_0011_4'], 'c_1010_5' : negation(d['c_0101_3']), 'c_1010_4' : negation(d['c_0110_5']), 'c_1010_3' : negation(d['c_0110_5']), 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : negation(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 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_4, c_0101_0, c_0101_1, c_0101_3, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 24 Groebner basis: [ t - 37756633340431/3668590592*c_0110_5^23 + 55094313448307/85982592*c_0110_5^21 - 18713844695302941/3668590592*c_0110_5^19 - 104327882705698971/1834295296*c_0110_5^17 - 126860735114358767/2751442944*c_0110_5^15 + 6089529448766764373/11005771776*c_0110_5^13 + 12942639499313003711/11005771776*c_0110_5^11 - 86823156056919703/118341632*c_0110_5^9 - 4458642319254991723/1375721472*c_0110_5^7 - 323854486823748113/343930368*c_0110_5^5 + 38538339526152061/28660864*c_0110_5^3 - 6217504364380295/42991296*c_0110_5, c_0011_0 - 1, c_0011_2 - 4035/32*c_0110_5^22 + 62677/8*c_0110_5^20 - 1967255/32*c_0110_5^18 - 11310341/16*c_0110_5^16 - 10091851/16*c_0110_5^14 + 219208647/32*c_0110_5^12 + 483391909/32*c_0110_5^10 - 277973731/32*c_0110_5^8 - 663857125/16*c_0110_5^6 - 202746157/16*c_0110_5^4 + 69917259/4*c_0110_5^2 - 1874881, c_0011_4 - 3114284923/119296*c_0110_5^23 + 48477108049/29824*c_0110_5^21 - 1544617161665/119296*c_0110_5^19 - 8600107024465/59648*c_0110_5^17 - 3471575490935/29824*c_0110_5^15 + 167350818686787/119296*c_0110_5^13 + 355158039692565/119296*c_0110_5^11 - 222272231448777/119296*c_0110_5^9 - 244735521051291/29824*c_0110_5^7 - 8870630424181/3728*c_0110_5^5 + 6342392114665/1864*c_0110_5^3 - 85279206332/233*c_0110_5, c_0101_0 - 3114283059/59648*c_0110_5^23 + 48477079157/14912*c_0110_5^21 - 1544616268809/59648*c_0110_5^19 - 8600101723249/29824*c_0110_5^17 - 3471572886927/14912*c_0110_5^15 + 167350716507899/59648*c_0110_5^13 + 355157804685037/59648*c_0110_5^11 - 222272109697889/59648*c_0110_5^9 - 244735360138695/14912*c_0110_5^7 - 4435311942751/932*c_0110_5^5 + 3171193895209/466*c_0110_5^3 - 341116595357/466*c_0110_5, c_0101_1 + 9/8*c_0110_5^22 - 1117/16*c_0110_5^20 + 4343/8*c_0110_5^18 + 101777/16*c_0110_5^16 + 48055/8*c_0110_5^14 - 491673/8*c_0110_5^12 - 2221289/16*c_0110_5^10 + 1205589/16*c_0110_5^8 + 6090425/16*c_0110_5^6 + 481349/4*c_0110_5^4 - 648617/4*c_0110_5^2 + 17361, c_0101_3 + 256521/64*c_0110_5^22 - 15952215/64*c_0110_5^20 + 125948367/64*c_0110_5^18 + 1429454117/64*c_0110_5^16 + 612678329/32*c_0110_5^14 - 13876800317/64*c_0110_5^12 - 7529182205/16*c_0110_5^10 + 2244536937/8*c_0110_5^8 + 82833024651/64*c_0110_5^6 + 6187342109/16*c_0110_5^4 - 1083080839/2*c_0110_5^2 + 58156869, c_0110_5^24 - 60*c_0110_5^22 + 355*c_0110_5^20 + 6646*c_0110_5^18 + 16964*c_0110_5^16 - 43641*c_0110_5^14 - 235711*c_0110_5^12 - 186837*c_0110_5^10 + 475940*c_0110_5^8 + 802864*c_0110_5^6 + 76032*c_0110_5^4 - 281088*c_0110_5^2 + 31744 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB