Magma V2.19-8 Tue Aug 20 2013 16:17:47 on localhost [Seed = 2067457950] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2030 geometric_solution 5.56929870 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 0 1 0 0132 1302 2310 2031 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 0 1 0 -1 1 0 0 -1 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.594839244050 3.389737962896 0 0 3 2 0132 3201 0132 0132 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 1 0 -1 -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 0.068215282944 0.296438850057 3 4 1 5 1230 0132 0132 0132 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 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 0.427421609205 1.446605162747 4 2 6 1 2310 3012 0132 0132 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 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 0.427421609205 1.446605162747 5 2 3 6 3012 0132 3201 3012 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 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 -0.184075748634 0.435802716230 6 6 2 4 1023 2031 0132 1230 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 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 0.525036663300 0.515816146274 5 5 4 3 1302 1023 1230 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.525036663300 0.515816146274 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : negation(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' : negation(d['1']), 's_2_2' : negation(d['1']), 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : negation(d['1']), 's_2_6' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(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' : negation(d['1']), 's_0_6' : negation(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_0110_4'], 'c_1100_5' : d['c_0110_4'], 'c_1100_4' : negation(d['c_0011_3']), 's_3_6' : negation(d['1']), 'c_1100_1' : d['c_0110_4'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0110_4'], 'c_1100_2' : d['c_0110_4'], 'c_0101_6' : negation(d['c_0011_5']), 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : d['c_0011_5'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : negation(d['c_0011_5']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_6' : d['c_0011_5'], '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_2'], 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_6' : d['c_0011_3'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0011_5']), 'c_1001_3' : negation(d['c_0011_2']), 'c_1001_2' : d['c_0011_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_5']), 'c_0110_3' : negation(d['c_0011_5']), 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : negation(d['c_0011_2']), 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : negation(d['c_0011_2']), 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : d['c_0011_5'], 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : negation(d['c_0101_3']), 'c_1010_1' : d['c_0011_5'], 'c_1010_0' : d['c_0011_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_3, c_0011_5, c_0101_0, c_0101_3, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 673571417186076914294/236304716297088155353*c_0110_4^13 - 863540043151477205713/236304716297088155353*c_0110_4^12 - 5462557180964297497903/236304716297088155353*c_0110_4^11 + 5059724219735245210077/33757816613869736479*c_0110_4^10 + 82157371510016981315698/236304716297088155353*c_0110_4^9 - 84528636588356692387351/236304716297088155353*c_0110_4^8 - 243801095073375873481772/236304716297088155353*c_0110_4^7 + 42832410935021237395787/236304716297088155353*c_0110_4^6 + 246479031290258425940830/236304716297088155353*c_0110_4^5 - 49056994451957067142894/33757816613869736479*c_0110_4^4 - 74252567299510652365730/236304716297088155353*c_0110_4^3 + 146214351375001389166387/236304716297088155353*c_0110_4^2 - 65517728159446440518986/236304716297088155353*c_0110_4 - 28947648599732961552082/236304716297088155353, c_0011_0 - 1, c_0011_2 + 1769227355250165/136671322323359257*c_0110_4^13 - 2899963642433371/136671322323359257*c_0110_4^12 - 12261740961505295/136671322323359257*c_0110_4^11 + 13751619778780789/19524474617622751*c_0110_4^10 + 172345550012696635/136671322323359257*c_0110_4^9 - 229406147136504313/136671322323359257*c_0110_4^8 - 419067573176105198/136671322323359257*c_0110_4^7 + 142528210009779452/136671322323359257*c_0110_4^6 + 163009229219467907/136671322323359257*c_0110_4^5 - 141286783478272786/19524474617622751*c_0110_4^4 + 606151722553991456/136671322323359257*c_0110_4^3 - 192492780757285147/136671322323359257*c_0110_4^2 - 285297386625042213/136671322323359257*c_0110_4 + 154130241824767804/136671322323359257, c_0011_3 + 1769227355250165/136671322323359257*c_0110_4^13 - 2899963642433371/136671322323359257*c_0110_4^12 - 12261740961505295/136671322323359257*c_0110_4^11 + 13751619778780789/19524474617622751*c_0110_4^10 + 172345550012696635/136671322323359257*c_0110_4^9 - 229406147136504313/136671322323359257*c_0110_4^8 - 419067573176105198/136671322323359257*c_0110_4^7 + 142528210009779452/136671322323359257*c_0110_4^6 + 163009229219467907/136671322323359257*c_0110_4^5 - 141286783478272786/19524474617622751*c_0110_4^4 + 606151722553991456/136671322323359257*c_0110_4^3 - 192492780757285147/136671322323359257*c_0110_4^2 - 285297386625042213/136671322323359257*c_0110_4 + 154130241824767804/136671322323359257, c_0011_5 + 4237830203671847/136671322323359257*c_0110_4^13 - 9462607119726911/136671322323359257*c_0110_4^12 - 28374923533024860/136671322323359257*c_0110_4^11 + 36158908712860196/19524474617622751*c_0110_4^10 + 301091336039216059/136671322323359257*c_0110_4^9 - 970393130993322032/136671322323359257*c_0110_4^8 - 1004989194462443997/136671322323359257*c_0110_4^7 + 1513935396509961528/136671322323359257*c_0110_4^6 + 1282602186355996929/136671322323359257*c_0110_4^5 - 452187412808374143/19524474617622751*c_0110_4^4 + 1519361768743152106/136671322323359257*c_0110_4^3 + 402103951076684228/136671322323359257*c_0110_4^2 - 552110972470359290/136671322323359257*c_0110_4 + 83376925749614246/136671322323359257, c_0101_0 + 270454343960/14158429744469*c_0110_4^13 - 611776261190/14158429744469*c_0110_4^12 - 1722355010322/14158429744469*c_0110_4^11 + 16121535232514/14158429744469*c_0110_4^10 + 18176167291112/14158429744469*c_0110_4^9 - 58886659469375/14158429744469*c_0110_4^8 - 53344460779172/14158429744469*c_0110_4^7 + 91458446864842/14158429744469*c_0110_4^6 + 51247695991665/14158429744469*c_0110_4^5 - 208416807579772/14158429744469*c_0110_4^4 + 136040889701418/14158429744469*c_0110_4^3 + 6577218960948/14158429744469*c_0110_4^2 - 54914985569670/14158429744469*c_0110_4 + 9423823368910/14158429744469, c_0101_3 + 911055889412841/136671322323359257*c_0110_4^13 + 434840073458964/136671322323359257*c_0110_4^12 - 9665202165677439/136671322323359257*c_0110_4^11 + 4944565630121079/19524474617622751*c_0110_4^10 + 197346889457688092/136671322323359257*c_0110_4^9 + 74987674193757589/136671322323359257*c_0110_4^8 - 583374269000113639/136671322323359257*c_0110_4^7 - 596973067261433533/136671322323359257*c_0110_4^6 + 517283860586142883/136671322323359257*c_0110_4^5 + 56135817273093813/19524474617622751*c_0110_4^4 - 797200868832576990/136671322323359257*c_0110_4^3 - 20286207627210088/136671322323359257*c_0110_4^2 + 341004375945481585/136671322323359257*c_0110_4 - 95509771709541970/136671322323359257, c_0110_4^14 - 2*c_0110_4^13 - 7*c_0110_4^12 + 58*c_0110_4^11 + 83*c_0110_4^10 - 202*c_0110_4^9 - 258*c_0110_4^8 + 286*c_0110_4^7 + 281*c_0110_4^6 - 720*c_0110_4^5 + 291*c_0110_4^4 + 161*c_0110_4^3 - 175*c_0110_4^2 + 17*c_0110_4 + 19 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB