Magma V2.19-8 Tue Aug 20 2013 16:17:38 on localhost [Seed = 1275973802] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1863 geometric_solution 5.49734245 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 2 3 0132 0132 2103 0132 0 0 0 0 0 -2 1 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 -1 1 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 -0.303746828092 0.015016751804 0 2 3 4 0132 1302 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.192184526569 0.701500509023 0 0 5 1 2103 0132 0132 2031 0 0 0 0 0 2 -1 -1 1 0 -1 0 -1 1 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 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.536540816203 0.662006665016 6 6 0 1 0132 2310 0132 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.682396934748 1.651037681710 6 5 1 5 2031 2103 0132 3012 0 0 0 0 0 0 0 0 0 0 0 0 -1 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 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 0.301658977242 1.208836727550 6 4 4 2 1230 2103 1230 0132 0 0 0 0 0 -1 0 1 -1 0 0 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 -1 0 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 0.805667709731 0.778746954504 3 5 4 3 0132 3012 1302 3201 0 0 0 0 0 0 0 0 -1 0 1 0 0 1 0 -1 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 0.608276217084 0.471435400840 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(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' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_3']), 'c_1100_5' : negation(d['c_0011_5']), 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : negation(d['c_0110_2']), 'c_1100_3' : negation(d['c_0110_2']), 'c_1100_2' : negation(d['c_0011_5']), 'c_0101_6' : negation(d['c_0011_4']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_3']), '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' : d['c_0011_4'], 'c_1001_4' : d['c_0011_5'], 'c_1001_6' : negation(d['c_0011_5']), 'c_1001_1' : d['c_0110_2'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : d['c_0101_5'], 'c_0110_1' : negation(d['c_0011_3']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_4']), 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : negation(d['c_0011_5']), 'c_0110_6' : d['c_0101_1'], 'c_1010_6' : negation(d['c_0101_5']), 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_0101_5']), 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : negation(d['c_0011_0']), 'c_1010_1' : d['c_0011_5'], 'c_1010_0' : d['c_0101_5']})} 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_0011_5, c_0101_1, c_0101_5, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 341155/72*c_0110_2^5 + 51637/12*c_0110_2^4 + 691789/24*c_0110_2^3 + 358441/28*c_0110_2^2 - 6912229/504*c_0110_2 - 463304/63, c_0011_0 - 1, c_0011_3 - 28/9*c_0110_2^5 + 14/3*c_0110_2^4 + 49/3*c_0110_2^3 - 3/2*c_0110_2^2 - 149/18*c_0110_2 + 7/18, c_0011_4 + 14/3*c_0110_2^5 - 49/6*c_0110_2^4 - 133/6*c_0110_2^3 + 19/3*c_0110_2^2 + 23/2*c_0110_2 - 7/6, c_0011_5 - 91/18*c_0110_2^5 + 49/6*c_0110_2^4 + 49/2*c_0110_2^3 - 19/6*c_0110_2^2 - 199/18*c_0110_2 + 11/18, c_0101_1 - 7/12*c_0110_2^5 + 7/12*c_0110_2^4 + 49/12*c_0110_2^3 + 1/12*c_0110_2^2 - 15/4*c_0110_2 + 1/12, c_0101_5 + 14/9*c_0110_2^5 - 7/2*c_0110_2^4 - 35/6*c_0110_2^3 + 29/6*c_0110_2^2 + 29/9*c_0110_2 - 7/9, c_0110_2^6 - c_0110_2^5 - 6*c_0110_2^4 - 15/7*c_0110_2^3 + 22/7*c_0110_2^2 + 9/7*c_0110_2 - 1/7 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_5, c_0101_1, c_0101_5, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 629142283/483361488*c_0110_2^11 + 1476409937/483361488*c_0110_2^10 - 292480679/241680744*c_0110_2^9 - 2332938823/161120496*c_0110_2^8 + 2947296491/483361488*c_0110_2^7 - 1098008915/120840372*c_0110_2^6 + 1126709197/20140062*c_0110_2^5 - 32261621741/483361488*c_0110_2^4 + 1895839623/26853416*c_0110_2^3 - 44836996483/483361488*c_0110_2^2 + 14144076223/241680744*c_0110_2 + 148559725/40280124, c_0011_0 - 1, c_0011_3 + 247117/10070031*c_0110_2^11 + 3814625/40280124*c_0110_2^10 + 1864009/20140062*c_0110_2^9 - 719445/3356677*c_0110_2^8 - 10285219/40280124*c_0110_2^7 - 3942455/10070031*c_0110_2^6 + 1293528/3356677*c_0110_2^5 - 597245/10070031*c_0110_2^4 + 9361043/13426708*c_0110_2^3 - 2701567/40280124*c_0110_2^2 - 7793315/20140062*c_0110_2 - 143570/3356677, c_0011_4 + 70688/10070031*c_0110_2^11 + 1438489/40280124*c_0110_2^10 + 1370411/20140062*c_0110_2^9 + 192687/6713354*c_0110_2^8 + 649819/40280124*c_0110_2^7 - 684203/20140062*c_0110_2^6 - 558095/3356677*c_0110_2^5 - 4067770/10070031*c_0110_2^4 - 1122413/13426708*c_0110_2^3 + 9853321/40280124*c_0110_2^2 + 215440/10070031*c_0110_2 + 696888/3356677, c_0011_5 + 115483/40280124*c_0110_2^11 + 791051/40280124*c_0110_2^10 + 6782/10070031*c_0110_2^9 - 2340381/13426708*c_0110_2^8 - 13723597/40280124*c_0110_2^7 + 1124854/10070031*c_0110_2^6 + 976502/3356677*c_0110_2^5 + 30667219/40280124*c_0110_2^4 - 1473308/3356677*c_0110_2^3 + 26691137/40280124*c_0110_2^2 - 21305459/20140062*c_0110_2 + 704686/3356677, c_0101_1 - 46651/80560248*c_0110_2^11 + 971167/80560248*c_0110_2^10 + 1579367/40280124*c_0110_2^9 + 974671/26853416*c_0110_2^8 - 5577899/80560248*c_0110_2^7 + 1433027/20140062*c_0110_2^6 - 771007/3356677*c_0110_2^5 + 51776237/80560248*c_0110_2^4 - 4588861/13426708*c_0110_2^3 + 86134819/80560248*c_0110_2^2 - 41380327/40280124*c_0110_2 + 3529747/6713354, c_0101_5 - 70688/10070031*c_0110_2^11 - 1438489/40280124*c_0110_2^10 - 1370411/20140062*c_0110_2^9 - 192687/6713354*c_0110_2^8 - 649819/40280124*c_0110_2^7 + 684203/20140062*c_0110_2^6 + 558095/3356677*c_0110_2^5 + 4067770/10070031*c_0110_2^4 + 1122413/13426708*c_0110_2^3 - 9853321/40280124*c_0110_2^2 - 215440/10070031*c_0110_2 - 696888/3356677, c_0110_2^12 + 2*c_0110_2^11 - c_0110_2^10 - 9*c_0110_2^9 + 8*c_0110_2^8 - 17*c_0110_2^7 + 48*c_0110_2^6 - 71*c_0110_2^5 + 105*c_0110_2^4 - 127*c_0110_2^3 + 107*c_0110_2^2 - 66*c_0110_2 + 36 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB