Magma V2.19-8 Tue Aug 20 2013 16:15:51 on localhost [Seed = 3718005239] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0077 geometric_solution 3.62579642 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 0 1 1 0 3201 0132 3201 2310 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 -1.614272470662 0.125052577207 0 0 2 2 2310 0132 3201 0132 0 0 0 0 0 1 1 -2 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 1 0 -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 0.376907950156 0.058748286019 1 3 1 4 2310 0132 0132 0132 0 0 0 0 0 -1 2 -1 -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 0 1 -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 0 0 0 0.408256255706 0.230982858053 5 2 6 4 0132 0132 0132 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.195510387745 1.557375208674 3 6 2 5 3012 2031 0132 3201 0 0 0 0 0 -1 1 0 0 0 -1 1 0 -1 0 1 -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 -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 -2.863984774094 1.926691764679 3 4 6 6 0132 2310 0321 2031 0 0 0 0 0 -1 0 1 -1 0 0 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 0.990664780719 1.963348339223 4 5 5 3 1302 1302 0321 0132 0 0 0 0 0 -1 0 1 -1 0 0 1 1 -1 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 1 -1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.990664780719 1.963348339223 ==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' : negation(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' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_6']), 'c_1100_5' : d['c_0101_3'], 'c_1100_4' : negation(d['c_0011_2']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_2']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_6']), 'c_1100_2' : negation(d['c_0011_2']), 'c_0101_6' : negation(d['c_0011_4']), 'c_0101_5' : d['c_0011_4'], 'c_0101_4' : negation(d['c_0101_1']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(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_6'], '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_0011_6']), 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_3']), 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : negation(d['c_0101_0']), 'c_0110_0' : negation(d['c_0101_0']), 'c_0110_3' : d['c_0011_4'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : negation(d['c_0011_6']), 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : negation(d['c_0101_3']), 'c_1010_5' : d['c_0011_6'], 'c_1010_4' : d['c_0011_6'], 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : negation(d['c_0101_3']), '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_0011_6, c_0101_0, c_0101_1, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 2060471878/85161247*c_0101_3^14 - 66057934828/85161247*c_0101_3^12 + 679609232698/85161247*c_0101_3^10 - 20786611836/670561*c_0101_3^8 + 148824579088/2747137*c_0101_3^6 - 3781289921346/85161247*c_0101_3^4 + 1299584977804/85161247*c_0101_3^2 - 110536168196/85161247, c_0011_0 - 1, c_0011_2 + 14836298/85161247*c_0101_3^14 - 464613032/85161247*c_0101_3^12 + 4551212508/85161247*c_0101_3^10 - 123802692/670561*c_0101_3^8 + 724148058/2747137*c_0101_3^6 - 13313863332/85161247*c_0101_3^4 + 2565199286/85161247*c_0101_3^2 - 57542314/85161247, c_0011_4 - 9642690/85161247*c_0101_3^15 + 300227136/85161247*c_0101_3^13 - 2902993680/85161247*c_0101_3^11 + 76165216/670561*c_0101_3^9 - 408965788/2747137*c_0101_3^7 + 6145294320/85161247*c_0101_3^5 - 851022668/85161247*c_0101_3^3 + 260110161/85161247*c_0101_3, c_0011_6 - 6119472/85161247*c_0101_3^14 + 194059828/85161247*c_0101_3^12 - 1950268912/85161247*c_0101_3^10 + 579894/6913*c_0101_3^8 - 357117208/2747137*c_0101_3^6 + 7122789242/85161247*c_0101_3^4 - 1433790752/85161247*c_0101_3^2 + 30560051/85161247, c_0101_0 - 2686556/85161247*c_0101_3^15 + 74184114/85161247*c_0101_3^13 - 514609998/85161247*c_0101_3^11 - 1119822/670561*c_0101_3^9 + 189632264/2747137*c_0101_3^7 - 10687912908/85161247*c_0101_3^5 + 6080941500/85161247*c_0101_3^3 - 731295731/85161247*c_0101_3, c_0101_1 + 389850/85161247*c_0101_3^15 - 13778946/85161247*c_0101_3^13 + 168289296/85161247*c_0101_3^11 - 6932176/670561*c_0101_3^9 + 68523020/2747137*c_0101_3^7 - 2390189908/85161247*c_0101_3^5 + 1333578908/85161247*c_0101_3^3 - 422651295/85161247*c_0101_3, c_0101_3^16 - 32*c_0101_3^14 + 328*c_0101_3^12 - 1264*c_0101_3^10 + 2186*c_0101_3^8 - 1776*c_0101_3^6 + 612*c_0101_3^4 - 56*c_0101_3^2 + 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB