Magma V2.19-8 Tue Aug 20 2013 16:18:06 on localhost [Seed = 1545453720] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2331 geometric_solution 5.71867959 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 3201 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 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 0.236010986285 0.175434038415 2 0 3 0 0132 2310 0132 0132 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 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.034853260016 1.853214348632 1 3 4 5 0132 3201 0132 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 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.294771828044 0.950208485595 5 4 2 1 1023 0132 2310 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 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 0.294771828044 0.950208485595 6 3 6 2 0132 0132 2310 0132 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 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 1.084774355444 0.610579238820 5 3 2 5 3012 1023 0132 1230 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 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 1.070830046253 0.819779684716 4 4 6 6 0132 3201 1230 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.491519806433 0.321944096001 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : 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' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : 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' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0101_4'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_3'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_6' : d['c_0011_3'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : d['c_0101_0'], 'c_1001_6' : negation(d['c_0101_4']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_3']), 'c_1001_2' : negation(d['c_0101_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : d['c_0101_0'], 'c_0110_6' : d['c_0101_4'], 'c_1010_6' : negation(d['c_0101_0']), 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_3'], '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_3, c_0101_0, c_0101_1, c_0101_3, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 9506/989*c_0101_4^9 - 24496/989*c_0101_4^7 + 20156/43*c_0101_4^5 - 1072557/989*c_0101_4^3 + 694831/989*c_0101_4, c_0011_0 - 1, c_0011_1 - 226/989*c_0101_4^8 - 995/989*c_0101_4^6 + 404/43*c_0101_4^4 - 8314/989*c_0101_4^2 - 753/989, c_0011_3 - 236/989*c_0101_4^9 - 934/989*c_0101_4^7 + 439/43*c_0101_4^5 - 13128/989*c_0101_4^3 + 3441/989*c_0101_4, c_0101_0 + 81/989*c_0101_4^8 + 396/989*c_0101_4^6 - 133/43*c_0101_4^4 + 1807/989*c_0101_4^2 + 248/989, c_0101_1 - 154/989*c_0101_4^8 - 643/989*c_0101_4^6 + 281/43*c_0101_4^4 - 7477/989*c_0101_4^2 + 896/989, c_0101_3 + 83/989*c_0101_4^9 + 186/989*c_0101_4^7 - 183/43*c_0101_4^5 + 10484/989*c_0101_4^3 - 6327/989*c_0101_4, c_0101_4^10 + 3*c_0101_4^8 - 47*c_0101_4^6 + 95*c_0101_4^4 - 54*c_0101_4^2 + 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0101_0, c_0101_1, c_0101_3, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 26 Groebner basis: [ t + 111678431167406654120109833/1147139901134605315690*c_0101_4^25 - 698453831557094593050209309/229427980226921063138*c_0101_4^23 + 35018249030482854051786927623/1147139901134605315690*c_0101_4^21 - 87421425844098931832603483588/573569950567302657845*c_0101_4^19 + 499338608478088014520680458547/1147139901134605315690*c_0101_4^17 - 169741819926458320042027838373/229427980226921063138*c_0101_4^15 + 876774670377878877590302368419/1147139901134605315690*c_0101_4^13 - 559153957571505936619148229657/1147139901134605315690*c_0101_4^11 + 223866858225421990661979685893/1147139901134605315690*c_0101_4^9 - 55821112859881858090611315167/1147139901134605315690*c_0101_4^7 + 8169687161387638936190756001/1147139901134605315690*c_0101_4^5 - 596709118196985509488643429/1147139901134605315690*c_0101_4^3 + 12903620858122231810536427/1147139901134605315690*c_0101_4, c_0011_0 - 1, c_0011_1 + 29340787246917508698557/229427980226921063138*c_0101_4^24 - 916832712035575078728407/229427980226921063138*c_0101_4^22 + 9179271073966044778005437/229427980226921063138*c_0101_4^20 - 22865236947765561784394858/114713990113460531569*c_0101_4^18 + 130197389662372289416992237/229427980226921063138*c_0101_4^16 - 220281530879976578090072845/229427980226921063138*c_0101_4^14 + 226119007304542879748023279/229427980226921063138*c_0101_4^12 - 143062672025345504903583297/229427980226921063138*c_0101_4^10 + 56828238563750037658722467/229427980226921063138*c_0101_4^8 - 14091721663845561960821485/229427980226921063138*c_0101_4^6 + 2063223712439524617065873/229427980226921063138*c_0101_4^4 - 152797709757868427353365/229427980226921063138*c_0101_4^2 + 3344287843843567127909/229427980226921063138, c_0011_3 + 60753169009198299247799/229427980226921063138*c_0101_4^25 - 948446020963537813137888/114713990113460531569*c_0101_4^23 + 18960174701444480239875007/229427980226921063138*c_0101_4^21 - 94236917442985742494512649/229427980226921063138*c_0101_4^19 + 133709974452234737329947353/114713990113460531569*c_0101_4^17 - 450302713936341530383918255/229427980226921063138*c_0101_4^15 + 229632053391425410962852626/114713990113460531569*c_0101_4^13 - 288353122728644600235102841/229427980226921063138*c_0101_4^11 + 56877634119915993984813632/114713990113460531569*c_0101_4^9 - 28090396847812902736936347/229427980226921063138*c_0101_4^7 + 2058180229896787686281490/114713990113460531569*c_0101_4^5 - 309723594743279541789335/229427980226921063138*c_0101_4^3 + 3895037172538310090306/114713990113460531569*c_0101_4, c_0101_0 + 73713721979228641910491/229427980226921063138*c_0101_4^24 - 2307817753878152402464659/229427980226921063138*c_0101_4^22 + 23198733274021882698049953/229427980226921063138*c_0101_4^20 - 58121050343171708422902842/114713990113460531569*c_0101_4^18 + 333665318909551578140897601/229427980226921063138*c_0101_4^16 - 571416209973200254334295537/229427980226921063138*c_0101_4^14 + 596728301010576168790263835/229427980226921063138*c_0101_4^12 - 386072671341509848899380561/229427980226921063138*c_0101_4^10 + 157211549749299629241487807/229427980226921063138*c_0101_4^8 - 39954831554028328616535431/229427980226921063138*c_0101_4^6 + 5981380615167062505522851/229427980226921063138*c_0101_4^4 - 450456157986338549784157/229427980226921063138*c_0101_4^2 + 10446031156574256824761/229427980226921063138, c_0101_1 - 22173280328663005899733/114713990113460531569*c_0101_4^24 + 692340122300200780189833/114713990113460531569*c_0101_4^22 - 6920688373984237721752905/114713990113460531569*c_0101_4^20 + 34400055069637078157578496/114713990113460531569*c_0101_4^18 - 97622766891224444187780721/114713990113460531569*c_0101_4^16 + 164374841454648792825020720/114713990113460531569*c_0101_4^14 - 167576573410706351811104233/114713990113460531569*c_0101_4^12 + 105075034213931636492390452/114713990113460531569*c_0101_4^10 - 41320790327726271351975993/114713990113460531569*c_0101_4^8 + 10141725041542974342102696/114713990113460531569*c_0101_4^6 - 1469329121161784888892287/114713990113460531569*c_0101_4^4 + 107586089788519796207256/114713990113460531569*c_0101_4^2 - 2408363632165274880143/114713990113460531569, c_0101_3 - 24353402286093596815197/229427980226921063138*c_0101_4^25 + 763693601647366907844081/229427980226921063138*c_0101_4^23 - 7703213333264212971509005/229427980226921063138*c_0101_4^21 + 19397272623213428405717685/114713990113460531569*c_0101_4^19 - 112193828883803376969242769/229427980226921063138*c_0101_4^17 + 194404802990727196463212901/229427980226921063138*c_0101_4^15 - 206769590241804381181692883/229427980226921063138*c_0101_4^13 + 137576825334569410450972025/229427980226921063138*c_0101_4^11 - 58367571750803754119263825/229427980226921063138*c_0101_4^9 + 15741023067180639955794859/229427980226921063138*c_0101_4^7 - 2567992634269872895870911/229427980226921063138*c_0101_4^5 + 218515888105515734959791/229427980226921063138*c_0101_4^3 - 5905501490949830058535/229427980226921063138*c_0101_4, c_0101_4^26 - 539/17*c_0101_4^24 + 5562/17*c_0101_4^22 - 28938/17*c_0101_4^20 + 87626/17*c_0101_4^18 - 162436/17*c_0101_4^16 + 190151/17*c_0101_4^14 - 143960/17*c_0101_4^12 + 71863/17*c_0101_4^10 - 23762/17*c_0101_4^8 + 5095/17*c_0101_4^6 - 664/17*c_0101_4^4 + 45/17*c_0101_4^2 - 1/17 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.250 seconds, Total memory usage: 32.09MB