Magma V2.19-8 Wed Aug 21 2013 01:07:47 on localhost [Seed = 2564719035] Type ? for help. Type -D to quit. Loading file "L14n33949__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n33949 geometric_solution 12.45769009 oriented_manifold CS_known 0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 0 1 1 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 -1 0 1 -1 0 0 1 1 -2 0 1 -1 -1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.644408162007 0.966895956985 0 5 6 4 0132 0132 0132 1023 0 0 1 1 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 0 1 -2 1 0 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.644408162007 0.966895956985 7 0 9 8 0132 0132 0132 0132 0 0 1 1 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 1 0 -1 0 0 0 0 0 1 0 -1 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.895293453947 1.308265735794 10 6 11 0 0132 0132 0132 0132 0 0 1 1 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 2 0 -2 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.644408162007 0.966895956985 12 8 0 1 0132 1023 0132 1023 0 0 1 1 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 -1 -1 2 1 0 -1 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 0.285053888865 0.683607694923 12 1 10 9 3120 0132 0132 0132 0 0 1 1 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 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 0.140162339188 0.723349068780 9 3 11 1 0132 0132 1023 0132 0 0 1 1 0 0 0 0 -1 0 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 0 0 -1 0 1 0 -1 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.644408162007 0.966895956985 2 12 9 11 0132 3120 3012 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.755131114760 0.584916667014 4 11 2 10 1023 1023 0132 0132 0 0 1 1 0 0 0 0 -1 0 0 1 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 1 -1 1 0 0 -1 1 -1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.008992247166 0.732913222999 6 7 5 2 0132 1230 0132 0132 0 0 1 1 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 0 0 0 -1 0 1 0 -2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.140162339188 0.723349068780 3 12 8 5 0132 1230 0132 0132 0 0 1 1 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 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 0.895293453947 1.308265735794 8 7 6 3 1023 1302 1023 0132 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.285053888865 0.683607694923 4 7 10 5 0132 3120 3012 3120 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 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 0.608992846719 1.454697136342 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_2'], 'c_1001_10' : d['c_0101_3'], 'c_1001_12' : negation(d['c_0011_10']), 'c_1001_5' : d['c_0101_12'], 'c_1001_4' : d['c_0101_7'], 'c_1001_7' : d['c_0011_10'], 'c_1001_6' : d['c_0101_11'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0101_11'], 'c_1001_3' : d['c_1001_1'], 'c_1001_2' : d['c_0101_7'], 'c_1001_9' : d['c_1001_1'], 'c_1001_8' : d['c_0101_11'], 'c_1010_12' : negation(d['c_0011_0']), 'c_1010_11' : d['c_1001_1'], 'c_1010_10' : d['c_0101_12'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : negation(d['1']), 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_0'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : negation(d['1']), 's_0_6' : negation(d['1']), 's_0_7' : negation(d['1']), 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : negation(d['c_0011_11']), 'c_1100_5' : d['c_1100_10'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_1001_1']), 'c_1100_6' : negation(d['c_1100_0']), 'c_1100_1' : negation(d['c_1100_0']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_10'], 's_3_11' : d['1'], 'c_1100_9' : d['c_1100_10'], 'c_1100_11' : d['c_1100_0'], 'c_1100_10' : d['c_1100_10'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_11'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : d['c_0101_11'], 'c_1010_2' : d['c_0101_11'], 'c_1010_1' : d['c_0101_12'], 'c_1010_0' : d['c_0101_7'], 'c_1010_9' : d['c_0101_7'], 'c_1010_8' : d['c_0101_3'], 'c_1100_8' : d['c_1100_10'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : negation(d['1']), 's_3_9' : negation(d['1']), 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0101_3']), 's_1_7' : 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_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_10']), 'c_0011_8' : d['c_0011_11'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_11'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : d['c_0011_10'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_3'], 'c_0110_10' : d['c_0101_3'], 'c_0110_12' : d['c_0101_1'], 'c_0101_12' : d['c_0101_12'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_2'], 'c_0101_5' : d['c_0101_3'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_1'], 'c_0101_8' : d['c_0101_7'], 's_1_12' : negation(d['1']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_12'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0101_0, c_0101_1, c_0101_11, c_0101_12, c_0101_2, c_0101_3, c_0101_7, c_1001_1, c_1100_0, c_1100_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 368408/1073125*c_1100_10^5 - 323326/214625*c_1100_10^4 - 5908041/1073125*c_1100_10^3 - 14965979/1073125*c_1100_10^2 + 37616897/1073125*c_1100_10 - 35498797/1073125, c_0011_0 - 1, c_0011_10 - 1, c_0011_11 - 57/505*c_1100_10^5 - 23/101*c_1100_10^4 - 111/505*c_1100_10^3 + 1001/505*c_1100_10^2 - 1038/505*c_1100_10 + 1198/505, c_0101_0 - 1, c_0101_1 - 44/2525*c_1100_10^5 + 23/505*c_1100_10^4 + 313/2525*c_1100_10^3 + 1322/2525*c_1100_10^2 - 2396/2525*c_1100_10 + 3246/2525, c_0101_11 - 3/101*c_1100_10^5 - 22/101*c_1100_10^4 - 59/101*c_1100_10^3 - 43/101*c_1100_10^2 + 57/101*c_1100_10 - 123/101, c_0101_12 + 72/505*c_1100_10^5 + 45/101*c_1100_10^4 + 406/505*c_1100_10^3 - 786/505*c_1100_10^2 + 753/505*c_1100_10 - 583/505, c_0101_2 + 64/505*c_1100_10^5 + 40/101*c_1100_10^4 + 417/505*c_1100_10^3 - 362/505*c_1100_10^2 + 1006/505*c_1100_10 + 99/505, c_0101_3 - 243/2525*c_1100_10^5 - 114/505*c_1100_10^4 - 739/2525*c_1100_10^3 + 3284/2525*c_1100_10^2 - 5887/2525*c_1100_10 + 5187/2525, c_0101_7 + 124/2525*c_1100_10^5 + 27/505*c_1100_10^4 - 423/2525*c_1100_10^3 - 3037/2525*c_1100_10^2 + 2391/2525*c_1100_10 - 2491/2525, c_1001_1 - 42/2525*c_1100_10^5 - 1/505*c_1100_10^4 + 184/2525*c_1100_10^3 + 1721/2525*c_1100_10^2 - 1828/2525*c_1100_10 + 803/2525, c_1100_0 + 82/2525*c_1100_10^5 + 26/505*c_1100_10^4 - 239/2525*c_1100_10^3 - 1316/2525*c_1100_10^2 + 563/2525*c_1100_10 - 1688/2525, c_1100_10^6 + 2*c_1100_10^5 + 3*c_1100_10^4 - 12*c_1100_10^3 + 28*c_1100_10^2 - 26*c_1100_10 + 17 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0101_0, c_0101_1, c_0101_11, c_0101_12, c_0101_2, c_0101_3, c_0101_7, c_1001_1, c_1100_0, c_1100_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 117151314450871064906197/15755171434785467863087*c_1100_10^9 + 366650810107116012248410/15755171434785467863087*c_1100_10^8 - 4169106535158276912931816/1211936264214266758699*c_1100_10^7 - 7192588311423497591053727/2250738776397923980441*c_1100_10^6 + 333946796399253770215341/2250738776397923980441*c_1100_10^5 - 339552392376117775708900/2250738776397923980441*c_1100_10^4 + 297061367330590716959872355/15755171434785467863087*c_1100_10^3 + 32716090865155309805963176/15755171434785467863087*c_1100_10^2 + 172038812460248101464434430/15755171434785467863087*c_1100_10 + 7453064208429731573342448/2250738776397923980441, c_0011_0 - 1, c_0011_10 + 2013118940607741080/173133752030609536957*c_1100_10^9 - 11113337861853414057/173133752030609536957*c_1100_10^8 + 955815317830770346753/173133752030609536957*c_1100_10^7 - 1408514265652701668989/173133752030609536957*c_1100_10^6 + 333372224741871445111/24733393147229933851*c_1100_10^5 - 592114397554210819788/24733393147229933851*c_1100_10^4 + 2491236081520734184099/173133752030609536957*c_1100_10^3 - 2433698926518146503337/173133752030609536957*c_1100_10^2 + 482310391755416553271/173133752030609536957*c_1100_10 + 9383952077006313405/173133752030609536957, c_0011_11 - 8999223540681188989/173133752030609536957*c_1100_10^9 + 46949351999338805123/173133752030609536957*c_1100_10^8 - 4257589516729200537890/173133752030609536957*c_1100_10^7 + 4999455923897296940472/173133752030609536957*c_1100_10^6 - 1210040639624005186615/24733393147229933851*c_1100_10^5 + 2183907152347936284934/24733393147229933851*c_1100_10^4 - 5380879086256997432301/173133752030609536957*c_1100_10^3 + 7406219497789853365015/173133752030609536957*c_1100_10^2 + 392611064331749347937/173133752030609536957*c_1100_10 + 29809976085462827067/173133752030609536957, c_0101_0 - 1, c_0101_1 - 590755660123315263/24733393147229933851*c_1100_10^9 + 2958626179786309188/24733393147229933851*c_1100_10^8 - 278858865564024892594/24733393147229933851*c_1100_10^7 + 269905254580380195816/24733393147229933851*c_1100_10^6 - 493396856140475223743/24733393147229933851*c_1100_10^5 + 903356360297876624083/24733393147229933851*c_1100_10^4 - 163956323398220187492/24733393147229933851*c_1100_10^3 + 436588063220019626487/24733393147229933851*c_1100_10^2 + 92035764188784547030/24733393147229933851*c_1100_10 + 9406816696016607655/24733393147229933851, c_0101_11 - 101359433108315091/24733393147229933851*c_1100_10^9 + 506101884065887835/24733393147229933851*c_1100_10^8 - 47823399493146104178/24733393147229933851*c_1100_10^7 + 45512092095220480187/24733393147229933851*c_1100_10^6 - 77205789657700893914/24733393147229933851*c_1100_10^5 + 145555911040599052372/24733393147229933851*c_1100_10^4 - 46105490735055132635/24733393147229933851*c_1100_10^3 + 85512231695596810292/24733393147229933851*c_1100_10^2 + 7117749442984841783/24733393147229933851*c_1100_10 + 9221587915107721277/24733393147229933851, c_0101_12 - 872588128094129/226911863736054439*c_1100_10^9 + 4961942310582987/226911863736054439*c_1100_10^8 - 415060429196568320/226911863736054439*c_1100_10^7 + 679147329484361176/226911863736054439*c_1100_10^6 - 1095032236242763593/226911863736054439*c_1100_10^5 + 1965167908931133565/226911863736054439*c_1100_10^4 - 1367353920306690163/226911863736054439*c_1100_10^3 + 811371267042857367/226911863736054439*c_1100_10^2 - 182941583732195962/226911863736054439*c_1100_10 - 61985095063586689/226911863736054439, c_0101_2 - 108841684697936655/24733393147229933851*c_1100_10^9 + 429647467263114166/24733393147229933851*c_1100_10^8 - 50763810883300301489/24733393147229933851*c_1100_10^7 - 4967306499435306837/24733393147229933851*c_1100_10^6 - 21378877774795213147/24733393147229933851*c_1100_10^5 + 44697533880444421046/24733393147229933851*c_1100_10^4 + 184667985693961090814/24733393147229933851*c_1100_10^3 - 29154667621258384485/24733393147229933851*c_1100_10^2 + 137335984739731125953/24733393147229933851*c_1100_10 + 6886980231317352149/24733393147229933851, c_0101_3 - 141660147289722199/24733393147229933851*c_1100_10^9 + 818207762915466450/24733393147229933851*c_1100_10^8 - 67413952319014163567/24733393147229933851*c_1100_10^7 + 116031940181544258433/24733393147229933851*c_1100_10^6 - 168065683500941379816/24733393147229933851*c_1100_10^5 + 296471724247546112013/24733393147229933851*c_1100_10^4 - 188494785600735844148/24733393147229933851*c_1100_10^3 + 126618757181320124289/24733393147229933851*c_1100_10^2 - 29771161265120949779/24733393147229933851*c_1100_10 - 10645380819705920765/24733393147229933851, c_0101_7 + 24618387181953239/24733393147229933851*c_1100_10^9 - 119079953646456023/24733393147229933851*c_1100_10^8 + 11554823532410969814/24733393147229933851*c_1100_10^7 - 9010524010241207310/24733393147229933851*c_1100_10^6 - 2622473463431060517/24733393147229933851*c_1100_10^5 - 2897792623046322035/24733393147229933851*c_1100_10^4 - 28235468077746982403/24733393147229933851*c_1100_10^3 + 33321185715814244458/24733393147229933851*c_1100_10^2 - 37151551086908737451/24733393147229933851*c_1100_10 + 6113058017168017630/24733393147229933851, c_1001_1 - 179000193082994016/24733393147229933851*c_1100_10^9 + 917910149708541951/24733393147229933851*c_1100_10^8 - 84572984767553882534/24733393147229933851*c_1100_10^7 + 91781553032023401839/24733393147229933851*c_1100_10^6 - 145657173015220586090/24733393147229933851*c_1100_10^5 + 290323151910681577018/24733393147229933851*c_1100_10^4 - 79597617280582433389/24733393147229933851*c_1100_10^3 + 104683024398461230295/24733393147229933851*c_1100_10^2 + 22898932210460105560/24733393147229933851*c_1100_10 - 1088082122886026777/24733393147229933851, c_1100_0 + 5399799609787907/526242407387870933*c_1100_10^9 - 27115449333680346/526242407387870933*c_1100_10^8 + 2548227628278988495/526242407387870933*c_1100_10^7 - 2496159757652381995/526242407387870933*c_1100_10^6 + 4053811522566038043/526242407387870933*c_1100_10^5 - 7970203260380772393/526242407387870933*c_1100_10^4 + 1562277997450278748/526242407387870933*c_1100_10^3 - 3173026060327083494/526242407387870933*c_1100_10^2 - 1254967928380386838/526242407387870933*c_1100_10 + 61095145220239767/526242407387870933, c_1100_10^10 - 5*c_1100_10^9 + 472*c_1100_10^8 - 453*c_1100_10^7 + 833*c_1100_10^6 - 1512*c_1100_10^5 + 263*c_1100_10^4 - 729*c_1100_10^3 - 211*c_1100_10^2 - 19*c_1100_10 - 7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.270 Total time: 0.480 seconds, Total memory usage: 32.09MB