Magma V2.19-8 Tue Aug 20 2013 23:29:41 on localhost [Seed = 3937176763] Type ? for help. Type -D to quit. Loading file "K12n318__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K12n318 geometric_solution 8.06616041 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 9 1 2 3 4 0132 0132 0132 0132 0 0 0 0 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 0 0 0 0 -1 1 0 -1 0 0 1 0 -2 0 2 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.105622787448 1.429257168084 0 5 4 3 0132 0132 1302 1302 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 1 0 -2 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 0.385236763721 0.929281126911 6 0 5 4 0132 0132 0321 1023 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 1 0 -1 0 0 0 0 0 -1 0 1 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.483859206434 0.517712068455 6 7 1 0 3012 0132 2031 0132 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 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 0.124024478684 0.650823198773 1 8 0 2 2031 0132 0132 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 1 0 -1 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.631688639136 0.755254486543 7 1 2 8 0213 0132 0321 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.313336191908 0.617107559748 2 8 7 3 0132 2031 2031 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 0 0 0 0 0 0 0 2 -1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.464336122830 0.282905293136 5 3 8 6 0213 0132 0321 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 0.268105969309 0.874147666092 6 4 7 5 1302 0132 0321 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.719998032827 0.319954942708 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0110_4'], 'c_1001_6' : d['c_0110_5'], 'c_1001_1' : d['c_0110_4'], 'c_1001_0' : d['c_0110_4'], 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : d['c_1001_2'], 'c_1001_8' : d['c_0101_6'], 's_2_8' : 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_2_7' : d['1'], 's_0_8' : d['1'], 's_0_6' : d['1'], 's_0_7' : 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_8' : d['c_0110_4'], 'c_1100_5' : d['c_1001_2'], 'c_1100_4' : negation(d['c_1001_5']), 'c_1100_7' : d['c_0101_6'], 'c_1100_6' : d['c_0101_0'], 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : negation(d['c_1001_5']), 'c_1100_3' : negation(d['c_1001_5']), 'c_1100_2' : d['c_1001_5'], 'c_1010_7' : negation(d['c_0101_0']), 'c_1010_6' : negation(d['c_0011_4']), 'c_1010_5' : d['c_0110_4'], 'c_1010_4' : d['c_0101_6'], 'c_1010_3' : d['c_0110_4'], 'c_1010_2' : d['c_0110_4'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : d['c_1001_2'], 'c_1010_8' : d['c_1001_2'], '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_3_7' : d['1'], 's_3_6' : d['1'], 's_3_8' : d['1'], 's_1_7' : 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_1_8' : d['1'], 'c_0011_8' : negation(d['c_0011_4']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_3']), '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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0011_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : negation(d['c_0011_4']), 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : negation(d['c_0011_4']), 'c_0101_0' : d['c_0101_0'], 'c_0101_8' : negation(d['c_0011_0']), 'c_0110_8' : negation(d['c_0110_5']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_4']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : negation(d['c_0110_5']), 'c_0110_6' : d['c_0011_3']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 10 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0101_0, c_0101_6, c_0110_4, c_0110_5, c_1001_2, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 26490441/4431427*c_1001_5^9 + 53326649/4431427*c_1001_5^8 - 1976745/48697*c_1001_5^7 - 61563071/4431427*c_1001_5^6 + 230549617/4431427*c_1001_5^5 - 9401294/633061*c_1001_5^4 - 304915385/4431427*c_1001_5^3 + 46982811/4431427*c_1001_5^2 + 16303647/633061*c_1001_5 - 38353559/4431427, c_0011_0 - 1, c_0011_3 + 4052/1631*c_1001_5^9 - 10625/1631*c_1001_5^8 + 4694/233*c_1001_5^7 - 8997/1631*c_1001_5^6 - 36444/1631*c_1001_5^5 + 3628/233*c_1001_5^4 + 37666/1631*c_1001_5^3 - 30083/1631*c_1001_5^2 - 1716/233*c_1001_5 + 6807/1631, c_0011_4 - 349/1631*c_1001_5^9 + 286/1631*c_1001_5^8 - 156/233*c_1001_5^7 - 4744/1631*c_1001_5^6 + 5868/1631*c_1001_5^5 + 171/233*c_1001_5^4 - 6061/1631*c_1001_5^3 - 2663/1631*c_1001_5^2 + 623/233*c_1001_5 + 963/1631, c_0101_0 + 2935/1631*c_1001_5^9 - 7401/1631*c_1001_5^8 + 3232/233*c_1001_5^7 - 3314/1631*c_1001_5^6 - 29753/1631*c_1001_5^5 + 2103/233*c_1001_5^4 + 32951/1631*c_1001_5^3 - 20810/1631*c_1001_5^2 - 2255/233*c_1001_5 + 6987/1631, c_0101_6 + 1851/1631*c_1001_5^9 - 5106/1631*c_1001_5^8 + 2192/233*c_1001_5^7 - 5272/1631*c_1001_5^6 - 18593/1631*c_1001_5^5 + 2078/233*c_1001_5^4 + 19883/1631*c_1001_5^3 - 16739/1631*c_1001_5^2 - 1053/233*c_1001_5 + 6417/1631, c_0110_4 - 465/233*c_1001_5^9 + 1271/233*c_1001_5^8 - 3815/233*c_1001_5^7 + 1230/233*c_1001_5^6 + 4746/233*c_1001_5^5 - 3431/233*c_1001_5^4 - 4899/233*c_1001_5^3 + 4227/233*c_1001_5^2 + 1965/233*c_1001_5 - 1336/233, c_0110_5 + 4566/1631*c_1001_5^9 - 12294/1631*c_1001_5^8 + 5329/233*c_1001_5^7 - 11469/1631*c_1001_5^6 - 44432/1631*c_1001_5^5 + 4433/233*c_1001_5^4 + 45999/1631*c_1001_5^3 - 40382/1631*c_1001_5^2 - 2488/233*c_1001_5 + 11880/1631, c_1001_2 - 2935/1631*c_1001_5^9 + 7401/1631*c_1001_5^8 - 3232/233*c_1001_5^7 + 3314/1631*c_1001_5^6 + 29753/1631*c_1001_5^5 - 2103/233*c_1001_5^4 - 32951/1631*c_1001_5^3 + 20810/1631*c_1001_5^2 + 2022/233*c_1001_5 - 5356/1631, c_1001_5^10 - 3*c_1001_5^9 + 9*c_1001_5^8 - 5*c_1001_5^7 - 9*c_1001_5^6 + 10*c_1001_5^5 + 8*c_1001_5^4 - 12*c_1001_5^3 - c_1001_5^2 + 4*c_1001_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB