Magma V2.19-8 Tue Aug 20 2013 16:18:57 on localhost [Seed = 3532869565] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3114 geometric_solution 6.26930150 oriented_manifold CS_known 0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 7 1 1 2 1 0132 1230 0132 2031 0 0 1 0 0 0 0 0 0 0 0 0 -1 0 0 1 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.142368462330 1.107501478723 0 0 0 3 0132 1302 3012 0132 0 0 0 1 0 0 1 -1 0 0 0 0 -1 0 0 1 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 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.885815503367 0.888255002537 4 3 5 0 0132 2310 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.522700839001 0.624206830550 4 5 1 2 1230 3012 0132 3201 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 0 0 1 0 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.773018381455 1.010945321662 2 3 6 6 0132 3012 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.254520805777 0.534419521003 3 5 5 2 1230 3201 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.746428691346 0.807974817272 6 4 6 4 2031 2310 1302 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 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.452759012002 1.716767475698 ==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' : negation(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' : 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' : negation(d['c_0011_6']), 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : negation(d['c_0011_6']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_2']), 'c_1100_0' : d['c_0011_5'], 'c_1100_3' : negation(d['c_0011_2']), 'c_1100_2' : d['c_0011_5'], 'c_0101_6' : negation(d['c_0011_6']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : negation(d['c_0011_0']), '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_6'], '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_5']), 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_6' : d['c_0101_0'], 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : d['c_0011_2'], 'c_1001_3' : negation(d['c_0011_5']), 'c_1001_2' : d['c_0101_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0110_3' : negation(d['c_0011_2']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : d['c_0011_3'], 'c_0110_6' : d['c_0101_0'], 'c_1010_6' : negation(d['c_0011_3']), 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : negation(d['c_0101_5']), 'c_1010_2' : d['c_0011_2'], 'c_1010_1' : negation(d['c_0011_5']), 'c_1010_0' : negation(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_0011_6, c_0101_0, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 405418842843/6399025039*c_0101_5^10 - 1184438120973/2326918196*c_0101_5^9 - 29694406026369/25596100156*c_0101_5^8 - 32319090630207/25596100156*c_0101_5^7 + 30095016426177/25596100156*c_0101_5^6 + 97033480526189/12798050078*c_0101_5^5 - 242502294669625/25596100156*c_0101_5^4 - 320802526102411/12798050078*c_0101_5^3 + 359084582501779/25596100156*c_0101_5^2 + 24218847760917/25596100156*c_0101_5 - 10810351929089/12798050078, c_0011_0 - 1, c_0011_2 - 671075539/12798050078*c_0101_5^10 - 249121086/581729549*c_0101_5^9 - 13012353687/12798050078*c_0101_5^8 - 15107393117/12798050078*c_0101_5^7 + 5158247841/6399025039*c_0101_5^6 + 40842287845/6399025039*c_0101_5^5 - 89135287463/12798050078*c_0101_5^4 - 138138967540/6399025039*c_0101_5^3 + 58493498659/6399025039*c_0101_5^2 + 10485577956/6399025039*c_0101_5 - 10533779259/12798050078, c_0011_3 + 720825829/6399025039*c_0101_5^10 + 1114311419/1163459098*c_0101_5^9 + 15970512137/6399025039*c_0101_5^8 + 21017850763/6399025039*c_0101_5^7 - 5608442105/6399025039*c_0101_5^6 - 182819702983/12798050078*c_0101_5^5 + 131938980785/12798050078*c_0101_5^4 + 656516983125/12798050078*c_0101_5^3 - 35562685865/12798050078*c_0101_5^2 - 61047127930/6399025039*c_0101_5 - 4426075649/12798050078, c_0011_5 - 671075539/12798050078*c_0101_5^10 - 249121086/581729549*c_0101_5^9 - 13012353687/12798050078*c_0101_5^8 - 15107393117/12798050078*c_0101_5^7 + 5158247841/6399025039*c_0101_5^6 + 40842287845/6399025039*c_0101_5^5 - 89135287463/12798050078*c_0101_5^4 - 138138967540/6399025039*c_0101_5^3 + 58493498659/6399025039*c_0101_5^2 + 10485577956/6399025039*c_0101_5 + 2264270819/12798050078, c_0011_6 + 14675618013/12798050078*c_0101_5^10 + 11168179047/1163459098*c_0101_5^9 + 309980890567/12798050078*c_0101_5^8 + 395879933093/12798050078*c_0101_5^7 - 70711031572/6399025039*c_0101_5^6 - 1807015312549/12798050078*c_0101_5^5 + 793833310606/6399025039*c_0101_5^4 + 6355424004437/12798050078*c_0101_5^3 - 1125162787377/12798050078*c_0101_5^2 - 322399409088/6399025039*c_0101_5 - 9023630596/6399025039, c_0101_0 - 1, c_0101_5^11 + 8*c_0101_5^10 + 18*c_0101_5^9 + 19*c_0101_5^8 - 20*c_0101_5^7 - 120*c_0101_5^6 + 154*c_0101_5^5 + 395*c_0101_5^4 - 239*c_0101_5^3 - 23*c_0101_5^2 + 17*c_0101_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB