Magma V2.19-8 Tue Aug 20 2013 16:17:04 on localhost [Seed = 930524133] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1313 geometric_solution 5.20034430 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 2 0132 2310 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.326979980939 0.933307817571 0 3 4 0 0132 0132 0132 3201 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 -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 0.687117622987 0.340196857633 0 5 5 0 3201 0132 3201 0132 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 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 -0.334342404544 0.954322582717 6 1 6 5 0132 0132 1023 1302 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.819154041722 0.411339555092 4 5 4 1 2310 1302 3201 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 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 0.876320639680 0.799228020877 2 2 3 4 2310 0132 2031 2031 0 0 0 0 0 0 0 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 -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 -0.168836676138 0.578699411869 3 6 3 6 0132 1302 1023 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 0.607049157010 0.142455875076 ==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' : 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_0011_0'], 'c_1100_5' : negation(d['c_1001_1']), 'c_1100_4' : negation(d['c_0011_0']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_2'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_0']), 'c_0101_4' : negation(d['c_0101_1']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : negation(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_0'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_6']), 'c_1001_4' : d['c_0101_1'], 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0101_6']), 'c_1001_3' : d['c_0101_6'], 'c_1001_2' : d['c_0011_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_6'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : negation(d['c_0011_0']), 'c_1010_5' : d['c_0011_0'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_1001_1'], 'c_1010_2' : negation(d['c_0101_6']), 'c_1010_1' : d['c_0101_6'], '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_2, c_0101_0, c_0101_1, c_0101_3, c_0101_6, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 52389503/1266983175*c_1001_1^7 + 284388073/1266983175*c_1001_1^6 - 54897351/84465545*c_1001_1^5 + 1829922916/1266983175*c_1001_1^4 - 744518104/422327725*c_1001_1^3 + 3428046622/1266983175*c_1001_1^2 - 445100919/422327725*c_1001_1 + 94233914/40870425, c_0011_0 - 1, c_0011_2 - 79/1247*c_1001_1^7 + 421/1247*c_1001_1^6 - 1045/1247*c_1001_1^5 + 1686/1247*c_1001_1^4 - 294/1247*c_1001_1^3 - 982/1247*c_1001_1^2 + 3796/1247*c_1001_1 - 394/1247, c_0101_0 - 79/1247*c_1001_1^7 + 421/1247*c_1001_1^6 - 1045/1247*c_1001_1^5 + 1686/1247*c_1001_1^4 - 294/1247*c_1001_1^3 - 982/1247*c_1001_1^2 + 3796/1247*c_1001_1 - 394/1247, c_0101_1 - 94/2001*c_1001_1^7 + 614/2001*c_1001_1^6 - 622/667*c_1001_1^5 + 3665/2001*c_1001_1^4 - 980/667*c_1001_1^3 - 511/2001*c_1001_1^2 + 2426/667*c_1001_1 - 7826/2001, c_0101_3 + 211/2967*c_1001_1^7 - 1205/2967*c_1001_1^6 + 1014/989*c_1001_1^5 - 5030/2967*c_1001_1^4 + 787/989*c_1001_1^3 + 1114/2967*c_1001_1^2 - 2828/989*c_1001_1 + 4175/2967, c_0101_6 + 389/2967*c_1001_1^7 - 1870/2967*c_1001_1^6 + 1471/989*c_1001_1^5 - 7375/2967*c_1001_1^4 + 101/989*c_1001_1^3 + 1421/2967*c_1001_1^2 - 6498/989*c_1001_1 - 2582/2967, c_1001_1^8 - 6*c_1001_1^7 + 20*c_1001_1^6 - 47*c_1001_1^5 + 59*c_1001_1^4 - 59*c_1001_1^3 - 46*c_1001_1^2 + 62*c_1001_1 - 155 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.210 seconds, Total memory usage: 32.09MB