Magma V2.19-8 Tue Aug 20 2013 16:14:13 on localhost [Seed = 1696921930] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s178 geometric_solution 4.27542342 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 1 1 0 0 0132 3201 2031 1302 0 0 0 0 0 -1 1 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 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 0.395896870135 0.054877078656 0 2 0 2 0132 0132 2310 2310 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 0 0 0 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 -1.067337388021 1.015668104855 1 1 3 4 3201 0132 0132 0132 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 0 0 0 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 0.214658297740 1.132404150756 4 5 4 2 1302 0132 2031 0132 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.572749880754 0.427915858022 5 3 2 3 0132 2031 0132 1302 0 0 0 0 0 0 -1 1 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 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 0.572749880754 0.427915858022 4 3 5 5 0132 0132 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.879497325259 0.837155763082 ==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' : 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_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_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_5' : d['c_0101_4'], 'c_1100_4' : negation(d['c_0011_3']), 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_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' : negation(d['c_0011_3']), 'c_0011_4' : 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' : d['c_0011_0'], 'c_1001_5' : negation(d['c_0101_4']), 'c_1001_4' : d['c_0101_0'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_5']), 'c_1001_2' : negation(d['c_0101_4']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_0']), 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0101_4'], 'c_0110_4' : d['c_0101_5'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : negation(d['c_0101_4']), 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : negation(d['c_0101_4']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_0, c_0101_1, c_0101_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 79597931/163722173*c_0101_5^11 - 18747825/163722173*c_0101_5^10 + 2850155272/163722173*c_0101_5^9 - 7268412099/163722173*c_0101_5^8 + 3137675739/163722173*c_0101_5^7 + 8134882374/163722173*c_0101_5^6 - 6209440577/163722173*c_0101_5^5 + 4528221901/163722173*c_0101_5^4 + 1399276938/163722173*c_0101_5^3 - 3753202834/163722173*c_0101_5^2 - 1242964401/163722173*c_0101_5 - 831684255/163722173, c_0011_0 - 1, c_0011_3 + 66017594/163722173*c_0101_5^11 + 244518124/163722173*c_0101_5^10 - 1391465449/163722173*c_0101_5^9 + 1676675192/163722173*c_0101_5^8 + 683135632/163722173*c_0101_5^7 - 1339057923/163722173*c_0101_5^6 + 1383390806/163722173*c_0101_5^5 - 674543829/163722173*c_0101_5^4 - 542879842/163722173*c_0101_5^3 - 86239763/163722173*c_0101_5^2 - 91865143/163722173*c_0101_5 + 81238436/163722173, c_0101_0 + 10255208/163722173*c_0101_5^11 + 34102092/163722173*c_0101_5^10 - 222328649/163722173*c_0101_5^9 + 375230516/163722173*c_0101_5^8 - 156973642/163722173*c_0101_5^7 - 109630236/163722173*c_0101_5^6 + 433738891/163722173*c_0101_5^5 - 156139561/163722173*c_0101_5^4 - 160566030/163722173*c_0101_5^3 - 35086541/163722173*c_0101_5^2 - 26037751/163722173*c_0101_5 - 83666467/163722173, c_0101_1 - 25638523/163722173*c_0101_5^11 - 69275069/163722173*c_0101_5^10 + 654394645/163722173*c_0101_5^9 - 1123238222/163722173*c_0101_5^8 - 7021946/163722173*c_0101_5^7 + 1304612516/163722173*c_0101_5^6 - 981347420/163722173*c_0101_5^5 + 466298241/163722173*c_0101_5^4 + 540053561/163722173*c_0101_5^3 - 372212948/163722173*c_0101_5^2 - 166887222/163722173*c_0101_5 - 99570070/163722173, c_0101_4 - 56473715/163722173*c_0101_5^11 - 201458391/163722173*c_0101_5^10 + 1235174702/163722173*c_0101_5^9 - 1530919918/163722173*c_0101_5^8 - 711076301/163722173*c_0101_5^7 + 1535384808/163722173*c_0101_5^6 - 1009841069/163722173*c_0101_5^5 + 358274867/163722173*c_0101_5^4 + 688958255/163722173*c_0101_5^3 + 43617982/163722173*c_0101_5^2 - 45630486/163722173*c_0101_5 - 149209136/163722173, c_0101_5^12 + 4*c_0101_5^11 - 20*c_0101_5^10 + 19*c_0101_5^9 + 18*c_0101_5^8 - 16*c_0101_5^7 + 12*c_0101_5^6 - 3*c_0101_5^5 - 11*c_0101_5^4 - 7*c_0101_5^3 - c_0101_5^2 + 2*c_0101_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB