Magma V2.19-8 Tue Aug 20 2013 16:16:22 on localhost [Seed = 2547387255] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0649 geometric_solution 4.63605544 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 0 1 0 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 1 -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 -1.556372987531 3.092496003965 0 0 3 2 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 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.080141850803 0.325019170797 3 3 1 4 1230 1023 0132 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 -2 1 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.511888479708 1.370619016845 2 2 4 1 1023 3012 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 0 0 0 0 0 0 0 -1 0 0 1 -1 2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.511888479708 1.370619016845 5 5 2 3 0132 3201 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 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 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.140475586964 0.804219125265 4 6 4 6 0132 0132 2310 2310 0 0 0 0 0 -1 1 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 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.247155356458 1.255828800612 5 5 6 6 3201 0132 2031 1302 0 0 0 0 0 1 0 -1 -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 1 0 -1 -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 0.426345219591 0.097820131509 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : negation(d['1']), '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' : 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' : negation(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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_2']), 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : d['c_1100_1'], 's_3_6' : d['1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_1100_1'], 'c_1100_2' : d['c_1100_1'], 'c_0101_6' : negation(d['c_0011_2']), 'c_0101_5' : negation(d['c_0101_1']), 'c_0101_4' : d['c_0011_2'], 'c_0101_3' : negation(d['c_0101_1']), 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], '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' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0011_2'], 'c_1001_4' : d['c_0101_1'], 'c_1001_6' : negation(d['c_0110_6']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0011_2']), 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0011_2'], 'c_0110_5' : d['c_0011_2'], 'c_0110_4' : negation(d['c_0101_1']), 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : d['c_0011_2'], 'c_1010_5' : negation(d['c_0110_6']), 'c_1010_4' : negation(d['c_0011_2']), 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : 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_4, c_0101_0, c_0101_1, c_0110_6, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 380720755274659464524/64101399064603023339*c_1100_1^13 - 40147970758358710429/3975280562145923928*c_1100_1^12 - 1721228211930787369187/64101399064603023339*c_1100_1^11 - 38587656720361210188733/256405596258412093356*c_1100_1^10 - 965551441042184701081/64101399064603023339*c_1100_1^9 + 208812578457918206511263/512811192516824186712*c_1100_1^8 + 1509719952345124587303509/512811192516824186712*c_1100_1^7 + 194367594447673857641005/512811192516824186712*c_1100_1^6 + 89139116712383068493048/64101399064603023339*c_1100_1^5 - 257301395751064253531/111456464359231512*c_1100_1^4 + 9480002314722342756503/85468532086137364452*c_1100_1^3 + 391462512257181946198225/256405596258412093356*c_1100_1^2 - 88689626584337003742131/128202798129206046678*c_1100_1 - 20026370339684308458685/64101399064603023339, c_0011_0 - 1, c_0011_2 + 1055634157607710309/37986014260505495312*c_1100_1^13 - 24256682597612313/441697840238435992*c_1100_1^12 - 1006165373994927817/9496503565126373828*c_1100_1^11 - 6472630891694361967/9496503565126373828*c_1100_1^10 + 3661682097904126769/37986014260505495312*c_1100_1^9 + 66729936500605918381/37986014260505495312*c_1100_1^8 + 503152261308588707059/37986014260505495312*c_1100_1^7 - 15273224815279065893/9496503565126373828*c_1100_1^6 + 351889098209224102085/37986014260505495312*c_1100_1^5 - 6431027302551679/516002149811257*c_1100_1^4 + 53988269707894771641/9496503565126373828*c_1100_1^3 + 40000701864781354609/9496503565126373828*c_1100_1^2 - 10454424411296836041/2374125891281593457*c_1100_1 + 994700608330477561/2374125891281593457, c_0011_4 - 299522316641413923/18993007130252747656*c_1100_1^13 + 4160564823818593/110424460059608998*c_1100_1^12 + 235604959132322117/4748251782563186914*c_1100_1^11 + 1695049136460822249/4748251782563186914*c_1100_1^10 - 4199360297819400647/18993007130252747656*c_1100_1^9 - 19650096376737706361/18993007130252747656*c_1100_1^8 - 134824358939495429543/18993007130252747656*c_1100_1^7 + 39104707775865441503/9496503565126373828*c_1100_1^6 - 85703566315590459887/18993007130252747656*c_1100_1^5 + 18816301647360253/2064008599245028*c_1100_1^4 - 10396269896841152826/2374125891281593457*c_1100_1^3 - 10144612951349026093/4748251782563186914*c_1100_1^2 + 11585616355094326490/2374125891281593457*c_1100_1 - 3269584795550771823/2374125891281593457, c_0101_0 + 847535005145/54675724483312*c_1100_1^13 - 972135172419/27337862241656*c_1100_1^12 - 704908364931/13668931120828*c_1100_1^11 - 4877491920243/13668931120828*c_1100_1^10 + 9958305763973/54675724483312*c_1100_1^9 + 55636873237241/54675724483312*c_1100_1^8 + 386264235294687/54675724483312*c_1100_1^7 - 46164439229101/13668931120828*c_1100_1^6 + 241293034152497/54675724483312*c_1100_1^5 - 57105425380527/6834465560414*c_1100_1^4 + 62869021876663/13668931120828*c_1100_1^3 + 35150267566465/13668931120828*c_1100_1^2 - 14199731414842/3417232780207*c_1100_1 + 769270068553/3417232780207, c_0101_1 + 33239238739868115/37986014260505495312*c_1100_1^13 + 2761819595048807/441697840238435992*c_1100_1^12 - 171331266987569057/9496503565126373828*c_1100_1^11 - 533109897888233003/9496503565126373828*c_1100_1^10 - 7316506983439719977/37986014260505495312*c_1100_1^9 + 2456658122848577071/37986014260505495312*c_1100_1^8 + 37120860559365723913/37986014260505495312*c_1100_1^7 + 18128500626544558601/4748251782563186914*c_1100_1^6 + 7987330249581720539/37986014260505495312*c_1100_1^5 + 2549429306606931/2064008599245028*c_1100_1^4 - 27914403758314109717/9496503565126373828*c_1100_1^3 + 3792258865305731709/9496503565126373828*c_1100_1^2 + 4807340734730641261/2374125891281593457*c_1100_1 - 2608524746482292771/2374125891281593457, c_0110_6 + 72435043720121790/2374125891281593457*c_1100_1^13 - 30112726723836273/441697840238435992*c_1100_1^12 - 1008692462380871087/9496503565126373828*c_1100_1^11 - 3362616874770493631/4748251782563186914*c_1100_1^10 + 1528541154462129817/4748251782563186914*c_1100_1^9 + 38748836336407451121/18993007130252747656*c_1100_1^8 + 266635308603565687757/18993007130252747656*c_1100_1^7 - 111824024263839858269/18993007130252747656*c_1100_1^6 + 37527532077459762835/4748251782563186914*c_1100_1^5 - 67570422534595555/4128017198490056*c_1100_1^4 + 19742723206083876887/2374125891281593457*c_1100_1^3 + 28753266684067332007/4748251782563186914*c_1100_1^2 - 30056538802113481949/4748251782563186914*c_1100_1 + 2064149780398781427/2374125891281593457, c_1100_1^14 - 2*c_1100_1^13 - 4*c_1100_1^12 - 24*c_1100_1^11 + 5*c_1100_1^10 + 69*c_1100_1^9 + 475*c_1100_1^8 - 84*c_1100_1^7 + 221*c_1100_1^6 - 456*c_1100_1^5 + 140*c_1100_1^4 + 248*c_1100_1^3 - 192*c_1100_1^2 - 16*c_1100_1 + 16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB