Magma V2.19-8 Tue Aug 20 2013 16:16:18 on localhost [Seed = 3650635064] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0563 geometric_solution 4.57951172 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.744353391098 0.186368227414 0 2 2 0 3201 0132 1023 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 1 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 0 0 1.560509414431 0.900739861077 3 1 1 4 0132 0132 1023 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 -1 0 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 0.097796212684 0.262587538161 2 4 5 4 0132 2310 0132 0321 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 2 -1 -1 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 0.326625443522 1.459307144055 5 3 2 3 0132 0321 0132 3201 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 1 -1 0 0 0 0 0 1 1 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.326625443522 1.459307144055 4 6 6 3 0132 0132 3201 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 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 0.575615879312 0.201334518355 5 5 6 6 2310 0132 1230 3012 0 0 0 0 0 -1 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 0 0 0 0 1 -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 0 0 0 1.333447190094 0.811840922948 ==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_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' : negation(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_0101_5']), 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0011_1']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : negation(d['c_0011_1']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_4']), 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_4'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_1'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0101_6']), 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : negation(d['c_0011_4']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : negation(d['c_0011_4']), 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_5'], 'c_0110_6' : negation(d['c_0101_5']), 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_0101_5']), 'c_1010_3' : negation(d['c_0101_5']), 'c_1010_2' : negation(d['c_0011_4']), 'c_1010_1' : negation(d['c_0011_0']), '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_1, c_0011_4, c_0101_0, c_0101_3, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 3010393317725048/224315768941313*c_0101_6^13 - 7676387281883466/224315768941313*c_0101_6^12 - 28992745227138978/224315768941313*c_0101_6^11 + 34261141730100667/224315768941313*c_0101_6^10 + 42347276448193063/224315768941313*c_0101_6^9 + 41665623568565478/32045109848759*c_0101_6^8 + 193208496874665374/224315768941313*c_0101_6^7 - 612656367560739241/224315768941313*c_0101_6^6 - 163459940364322577/32045109848759*c_0101_6^5 - 1092180335013383274/224315768941313*c_0101_6^4 - 776415185134059281/224315768941313*c_0101_6^3 - 400287471464926875/224315768941313*c_0101_6^2 - 20167023653850765/32045109848759*c_0101_6 - 36569450076968817/224315768941313, c_0011_0 - 1, c_0011_1 - 521558646041/4577872835537*c_0101_6^13 + 1691314001880/4577872835537*c_0101_6^12 + 3716145519143/4577872835537*c_0101_6^11 - 8225414866274/4577872835537*c_0101_6^10 - 188465566611/4577872835537*c_0101_6^9 - 51296582981560/4577872835537*c_0101_6^8 - 657475420338/4577872835537*c_0101_6^7 + 92147854712635/4577872835537*c_0101_6^6 + 120864376663615/4577872835537*c_0101_6^5 + 128841902462203/4577872835537*c_0101_6^4 + 113429806512845/4577872835537*c_0101_6^3 + 65357382797324/4577872835537*c_0101_6^2 + 24928392830981/4577872835537*c_0101_6 + 9429781171360/4577872835537, c_0011_4 - 119285963868/4577872835537*c_0101_6^13 + 609660523676/4577872835537*c_0101_6^12 + 57645105572/4577872835537*c_0101_6^11 - 3411813983575/4577872835537*c_0101_6^10 + 4639822057180/4577872835537*c_0101_6^9 - 11971141755043/4577872835537*c_0101_6^8 + 18266573196601/4577872835537*c_0101_6^7 + 16440121574390/4577872835537*c_0101_6^6 - 28719432660154/4577872835537*c_0101_6^5 + 2848971205607/4577872835537*c_0101_6^4 + 15158477726960/4577872835537*c_0101_6^3 + 3405585066413/4577872835537*c_0101_6^2 + 6472510640663/4577872835537*c_0101_6 + 1673740554098/4577872835537, c_0101_0 + 299786339348/4577872835537*c_0101_6^13 - 1066043207811/4577872835537*c_0101_6^12 - 1731901749178/4577872835537*c_0101_6^11 + 5151164236819/4577872835537*c_0101_6^10 - 2407901131711/4577872835537*c_0101_6^9 + 30689373046941/4577872835537*c_0101_6^8 - 7019066621961/4577872835537*c_0101_6^7 - 44166565365768/4577872835537*c_0101_6^6 - 45342724371196/4577872835537*c_0101_6^5 - 78014478620738/4577872835537*c_0101_6^4 - 80585267232450/4577872835537*c_0101_6^3 - 46521410053643/4577872835537*c_0101_6^2 - 22065169255378/4577872835537*c_0101_6 - 4958398148030/4577872835537, c_0101_3 + 1437000724452/4577872835537*c_0101_6^13 - 4539194910504/4577872835537*c_0101_6^12 - 11143535872609/4577872835537*c_0101_6^11 + 23329593733396/4577872835537*c_0101_6^10 + 6601189529843/4577872835537*c_0101_6^9 + 134351391891302/4577872835537*c_0101_6^8 + 9615351652084/4577872835537*c_0101_6^7 - 305020042873038/4577872835537*c_0101_6^6 - 362200135334097/4577872835537*c_0101_6^5 - 288337743460784/4577872835537*c_0101_6^4 - 169350806616445/4577872835537*c_0101_6^3 - 69362201941549/4577872835537*c_0101_6^2 - 13130950104411/4577872835537*c_0101_6 - 2530751249047/4577872835537, c_0101_5 - 1597023477772/4577872835537*c_0101_6^13 + 4070436402490/4577872835537*c_0101_6^12 + 15421981482325/4577872835537*c_0101_6^11 - 18242257370735/4577872835537*c_0101_6^10 - 22888530975430/4577872835537*c_0101_6^9 - 154287895667000/4577872835537*c_0101_6^8 - 101962983622646/4577872835537*c_0101_6^7 + 327899123634624/4577872835537*c_0101_6^6 + 610931967437460/4577872835537*c_0101_6^5 + 570050499371625/4577872835537*c_0101_6^4 + 400834951118483/4577872835537*c_0101_6^3 + 200671126037112/4577872835537*c_0101_6^2 + 66445895229632/4577872835537*c_0101_6 + 15207919651515/4577872835537, c_0101_6^14 - 2*c_0101_6^13 - 11*c_0101_6^12 + 6*c_0101_6^11 + 20*c_0101_6^10 + 105*c_0101_6^9 + 118*c_0101_6^8 - 165*c_0101_6^7 - 490*c_0101_6^6 - 579*c_0101_6^5 - 471*c_0101_6^4 - 286*c_0101_6^3 - 126*c_0101_6^2 - 40*c_0101_6 - 7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB