Magma V2.19-8 Tue Aug 20 2013 16:17:59 on localhost [Seed = 2362249290] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2216 geometric_solution 5.66125720 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 3 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 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 0.279209865263 3.267545880634 0 1 0 1 0132 1302 2310 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.407210085651 0.542248953767 3 4 5 0 1302 0132 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 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 0.219801377054 0.628552448164 4 2 0 6 3201 2031 0132 0132 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 -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 0.219801377054 0.628552448164 5 2 6 3 2031 0132 2031 2310 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 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.841817690335 1.824060055742 6 6 4 2 1023 3012 1302 0132 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.954679466677 0.933431247711 5 5 3 4 1230 1023 0132 1302 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 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 0.954679466677 0.933431247711 ==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' : 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' : 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_0101_4'], 'c_1100_5' : d['c_0101_4'], 'c_1100_4' : d['c_0011_3'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0101_4'], 'c_1100_3' : d['c_0101_4'], 'c_1100_2' : d['c_0101_4'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_2'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0011_5'], 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : 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_0011_5']), 'c_1001_4' : negation(d['c_0011_5']), 'c_1001_6' : d['c_0011_2'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_5']), 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : negation(d['c_0101_6']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_5'], 'c_0110_3' : d['c_0101_6'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : negation(d['c_0011_5']), 'c_0110_6' : d['c_0011_5'], 'c_1010_6' : negation(d['c_0011_3']), 'c_1010_5' : negation(d['c_0101_6']), 'c_1010_4' : negation(d['c_0101_6']), 'c_1010_3' : d['c_0011_2'], 'c_1010_2' : negation(d['c_0011_5']), '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_2, c_0011_3, c_0011_5, c_0101_0, c_0101_4, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 9857727078039596686/987620200024056993*c_0101_6^13 - 144167857324255383035/1975240400048113986*c_0101_6^12 - 419079461258878957739/1975240400048113986*c_0101_6^11 - 201531914402731774361/987620200024056993*c_0101_6^10 + 89213985440548505503/329206733341352331*c_0101_6^9 + 1024201258585801329764/987620200024056993*c_0101_6^8 + 1272210446304270569987/658413466682704662*c_0101_6^7 + 2502035102724371355934/987620200024056993*c_0101_6^6 - 298378491851616350617/658413466682704662*c_0101_6^5 - 13799235647652192012199/1975240400048113986*c_0101_6^4 - 10718380732944115043795/1975240400048113986*c_0101_6^3 - 2367546430022126849414/987620200024056993*c_0101_6^2 - 604547970633236113751/658413466682704662*c_0101_6 + 107361574358790849224/987620200024056993, c_0011_0 - 1, c_0011_2 + 213970386915228/5775556725286883*c_0101_6^13 + 2961102831143321/11551113450573766*c_0101_6^12 + 7906698867723393/11551113450573766*c_0101_6^11 + 2712098278569093/5775556725286883*c_0101_6^10 - 7232856465515516/5775556725286883*c_0101_6^9 - 19876649418511292/5775556725286883*c_0101_6^8 - 67282937827132359/11551113450573766*c_0101_6^7 - 40279782711091220/5775556725286883*c_0101_6^6 + 55695532379854461/11551113450573766*c_0101_6^5 + 287632647111881069/11551113450573766*c_0101_6^4 + 124483688046388415/11551113450573766*c_0101_6^3 + 20956319417870824/5775556725286883*c_0101_6^2 + 13785797589251043/11551113450573766*c_0101_6 - 6828704061186712/5775556725286883, c_0011_3 + 213970386915228/5775556725286883*c_0101_6^13 + 2961102831143321/11551113450573766*c_0101_6^12 + 7906698867723393/11551113450573766*c_0101_6^11 + 2712098278569093/5775556725286883*c_0101_6^10 - 7232856465515516/5775556725286883*c_0101_6^9 - 19876649418511292/5775556725286883*c_0101_6^8 - 67282937827132359/11551113450573766*c_0101_6^7 - 40279782711091220/5775556725286883*c_0101_6^6 + 55695532379854461/11551113450573766*c_0101_6^5 + 287632647111881069/11551113450573766*c_0101_6^4 + 124483688046388415/11551113450573766*c_0101_6^3 + 20956319417870824/5775556725286883*c_0101_6^2 + 13785797589251043/11551113450573766*c_0101_6 - 6828704061186712/5775556725286883, c_0011_5 - 339814104810607/5775556725286883*c_0101_6^13 - 4799439460194975/11551113450573766*c_0101_6^12 - 13216752100123953/11551113450573766*c_0101_6^11 - 5199159502905519/5775556725286883*c_0101_6^10 + 10752613525273562/5775556725286883*c_0101_6^9 + 32690534338348328/5775556725286883*c_0101_6^8 + 113875873988244413/11551113450573766*c_0101_6^7 + 70531629848565197/5775556725286883*c_0101_6^6 - 70484445965143511/11551113450573766*c_0101_6^5 - 461637714347221931/11551113450573766*c_0101_6^4 - 248387309699684585/11551113450573766*c_0101_6^3 - 40039579466649640/5775556725286883*c_0101_6^2 - 28355199835040325/11551113450573766*c_0101_6 + 8013839959724869/5775556725286883, c_0101_0 + 399355778933104/5775556725286883*c_0101_6^13 + 5658188060184339/11551113450573766*c_0101_6^12 + 15726842993994899/11551113450573766*c_0101_6^11 + 6506363765547222/5775556725286883*c_0101_6^10 - 11977655653792065/5775556725286883*c_0101_6^9 - 38552987274259991/5775556725286883*c_0101_6^8 - 138347169638795633/11551113450573766*c_0101_6^7 - 87205487879079900/5775556725286883*c_0101_6^6 + 70966746711017383/11551113450573766*c_0101_6^5 + 536960025965369761/11551113450573766*c_0101_6^4 + 317066580905296703/11551113450573766*c_0101_6^3 + 69632794002168715/5775556725286883*c_0101_6^2 + 44990767627060681/11551113450573766*c_0101_6 - 11266497956881863/5775556725286883, c_0101_4 - 123420183188353/5775556725286883*c_0101_6^13 - 855611931168202/5775556725286883*c_0101_6^12 - 2284457605736618/5775556725286883*c_0101_6^11 - 1567972287346049/5775556725286883*c_0101_6^10 + 4140316504100540/5775556725286883*c_0101_6^9 + 11280379357342024/5775556725286883*c_0101_6^8 + 19138109510237161/5775556725286883*c_0101_6^7 + 23232522873213994/5775556725286883*c_0101_6^6 - 15640462224544877/5775556725286883*c_0101_6^5 - 81147384185035012/5775556725286883*c_0101_6^4 - 32770890653317895/5775556725286883*c_0101_6^3 - 11891482628941445/5775556725286883*c_0101_6^2 - 6881771724174621/5775556725286883*c_0101_6 + 6180092277153751/5775556725286883, c_0101_6^14 + 7*c_0101_6^13 + 19*c_0101_6^12 + 14*c_0101_6^11 - 33*c_0101_6^10 - 95*c_0101_6^9 - 162*c_0101_6^8 - 196*c_0101_6^7 + 120*c_0101_6^6 + 680*c_0101_6^5 + 328*c_0101_6^4 + 89*c_0101_6^3 + 27*c_0101_6^2 - 35*c_0101_6 + 3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB