Magma V2.19-8 Tue Aug 20 2013 16:17:36 on localhost [Seed = 1208603823] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1840 geometric_solution 5.48907405 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 2310 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 0 0 0 1.639289680870 0.480841290576 0 2 3 0 3201 0132 0132 0132 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 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 0.780002503937 0.583016077706 4 1 3 5 0132 0132 1302 0132 0 0 0 0 0 0 0 0 -1 0 0 1 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 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 0.489520629042 0.576101725306 2 5 4 1 2031 2310 1023 0132 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 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 0.489520629042 0.576101725306 2 6 3 6 0132 0132 1023 2310 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 -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 0.371064798542 1.487282347382 5 5 2 3 1302 2031 0132 3201 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 0 0.517812062288 0.461108508613 4 4 6 6 3201 0132 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0.435054313710 0.148334356110 ==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' : 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' : negation(d['1']), 's_2_4' : negation(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' : negation(d['1']), 's_1_0' : d['1'], 's_0_6' : 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' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_3'], 'c_1100_5' : negation(d['c_0011_3']), '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' : d['c_0011_1'], 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0011_3'], 'c_0101_5' : negation(d['c_0011_5']), 'c_0101_4' : negation(d['c_0011_5']), 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : negation(d['c_0011_1']), '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' : negation(d['c_0110_5']), 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_6' : negation(d['c_0110_6']), 'c_1001_1' : negation(d['c_0110_5']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0011_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_0']), 'c_0110_2' : negation(d['c_0011_5']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : negation(d['c_0011_3']), 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : negation(d['c_0110_6']), 'c_1010_3' : negation(d['c_0110_5']), 'c_1010_2' : negation(d['c_0110_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_1, c_0011_3, c_0011_5, c_0101_0, c_0110_5, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 2814/19*c_0110_6^3 + 5555/19*c_0110_6^2 + 12088/19*c_0110_6 + 5210/19, c_0011_0 - 1, c_0011_1 + 24/19*c_0110_6^3 - 65/19*c_0110_6^2 - 48/19*c_0110_6 + 9/19, c_0011_3 - 30/19*c_0110_6^3 + 67/19*c_0110_6^2 + 98/19*c_0110_6 + 22/19, c_0011_5 + 3/19*c_0110_6^3 - 1/19*c_0110_6^2 - 25/19*c_0110_6 - 6/19, c_0101_0 + 60/19*c_0110_6^3 - 134/19*c_0110_6^2 - 215/19*c_0110_6 - 44/19, c_0110_5 + 27/19*c_0110_6^3 - 66/19*c_0110_6^2 - 92/19*c_0110_6 - 16/19, c_0110_6^4 - 11/6*c_0110_6^3 - 14/3*c_0110_6^2 - 13/6*c_0110_6 - 1/6 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0011_5, c_0101_0, c_0110_5, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 17 Groebner basis: [ t - 199406321924717075/10082006945307008*c_0110_6^16 + 2883121150039688449/10082006945307008*c_0110_6^15 - 3706286004849913201/10082006945307008*c_0110_6^14 - 1748273798523446781/2520501736326752*c_0110_6^13 + 21432983805080142885/10082006945307008*c_0110_6^12 - 7841739567203766935/5041003472653504*c_0110_6^11 - 1061491555465225579/2520501736326752*c_0110_6^10 + 8485034653069916957/5041003472653504*c_0110_6^9 - 21732429117753178551/10082006945307008*c_0110_6^8 + 21096934583426746521/10082006945307008*c_0110_6^7 - 5675894348700880843/5041003472653504*c_0110_6^6 - 7506671522516575593/10082006945307008*c_0110_6^5 + 8518105798865858087/5041003472653504*c_0110_6^4 - 4963225209811405805/5041003472653504*c_0110_6^3 + 103060805526727243/5041003472653504*c_0110_6^2 + 783205216488391613/5041003472653504*c_0110_6 - 457524318926910239/10082006945307008, c_0011_0 - 1, c_0011_1 + 64981911050871/78765679260211*c_0110_6^16 - 949365941431588/78765679260211*c_0110_6^15 + 1362081716673909/78765679260211*c_0110_6^14 + 1937545918075092/78765679260211*c_0110_6^13 - 7352444626483617/78765679260211*c_0110_6^12 + 6722531765465803/78765679260211*c_0110_6^11 + 106906296628222/78765679260211*c_0110_6^10 - 6106439564072592/78765679260211*c_0110_6^9 + 8348324074782863/78765679260211*c_0110_6^8 - 8176453594323254/78765679260211*c_0110_6^7 + 5081132879843522/78765679260211*c_0110_6^6 + 1806977776862469/78765679260211*c_0110_6^5 - 6154644166011265/78765679260211*c_0110_6^4 + 4594311508658873/78765679260211*c_0110_6^3 - 552468466640782/78765679260211*c_0110_6^2 - 786196301423799/78765679260211*c_0110_6 + 349227652389650/78765679260211, c_0011_3 + 1113017376106799/1260250868163376*c_0110_6^16 - 16017703855797861/1260250868163376*c_0110_6^15 + 19800106510754437/1260250868163376*c_0110_6^14 + 9457596905439745/315062717040844*c_0110_6^13 - 116585643753209337/1260250868163376*c_0110_6^12 + 44209541125213283/630125434081688*c_0110_6^11 + 4577745840966843/315062717040844*c_0110_6^10 - 47923883288171201/630125434081688*c_0110_6^9 + 124383746338047459/1260250868163376*c_0110_6^8 - 117800989939705325/1260250868163376*c_0110_6^7 + 31589484352575823/630125434081688*c_0110_6^6 + 41731309225215933/1260250868163376*c_0110_6^5 - 47211082714363243/630125434081688*c_0110_6^4 + 29804206105930017/630125434081688*c_0110_6^3 - 1490517584772903/630125434081688*c_0110_6^2 - 5708118221328913/630125434081688*c_0110_6 + 4458280062914907/1260250868163376, c_0011_5 - 85030978876817/1260250868163376*c_0110_6^16 + 1288100264352379/1260250868163376*c_0110_6^15 - 2445840329563515/1260250868163376*c_0110_6^14 - 430898246183359/315062717040844*c_0110_6^13 + 11978408425437607/1260250868163376*c_0110_6^12 - 7263943093274517/630125434081688*c_0110_6^11 + 187615499511335/315062717040844*c_0110_6^10 + 6810681561629711/630125434081688*c_0110_6^9 - 15238321200594605/1260250868163376*c_0110_6^8 + 12889039286642771/1260250868163376*c_0110_6^7 - 5315871963005345/630125434081688*c_0110_6^6 - 2687310317778883/1260250868163376*c_0110_6^5 + 6722852397698037/630125434081688*c_0110_6^4 - 5548868178711007/630125434081688*c_0110_6^3 + 697404883841393/630125434081688*c_0110_6^2 + 2172527601106847/630125434081688*c_0110_6 - 475081921045317/1260250868163376, c_0101_0 + 76349181314941/157531358520422*c_0110_6^16 - 1129835423198777/157531358520422*c_0110_6^15 + 1750617411648921/157531358520422*c_0110_6^14 + 1402079255361436/78765679260211*c_0110_6^13 - 9637762781819151/157531358520422*c_0110_6^12 + 3482210296039303/78765679260211*c_0110_6^11 + 1665135605784066/78765679260211*c_0110_6^10 - 4234543467361227/78765679260211*c_0110_6^9 + 8944548843429149/157531358520422*c_0110_6^8 - 8418237508949977/157531358520422*c_0110_6^7 + 1875309274658411/78765679260211*c_0110_6^6 + 4351496065157689/157531358520422*c_0110_6^5 - 4245809596535413/78765679260211*c_0110_6^4 + 2046897327848624/78765679260211*c_0110_6^3 + 550005467061162/78765679260211*c_0110_6^2 - 608996128321829/78765679260211*c_0110_6 + 89749447815797/157531358520422, c_0110_5 - 194475245146756/78765679260211*c_0110_6^16 + 2734028846547667/78765679260211*c_0110_6^15 - 2539365295890213/78765679260211*c_0110_6^14 - 7575816092845769/78765679260211*c_0110_6^13 + 17618548258945992/78765679260211*c_0110_6^12 - 8976551105830228/78765679260211*c_0110_6^11 - 6061387316933488/78765679260211*c_0110_6^10 + 13310020816462339/78765679260211*c_0110_6^9 - 16403511253284826/78765679260211*c_0110_6^8 + 15066207071562047/78765679260211*c_0110_6^7 - 6437864398134682/78765679260211*c_0110_6^6 - 8540315201041960/78765679260211*c_0110_6^5 + 12628543622769276/78765679260211*c_0110_6^4 - 5347717663968772/78765679260211*c_0110_6^3 - 864184842426323/78765679260211*c_0110_6^2 + 984373553230581/78765679260211*c_0110_6 - 269912056785459/78765679260211, c_0110_6^17 - 14*c_0110_6^16 + 12*c_0110_6^15 + 43*c_0110_6^14 - 91*c_0110_6^13 + 31*c_0110_6^12 + 54*c_0110_6^11 - 74*c_0110_6^10 + 71*c_0110_6^9 - 58*c_0110_6^8 + 11*c_0110_6^7 + 61*c_0110_6^6 - 67*c_0110_6^5 + 12*c_0110_6^4 + 20*c_0110_6^3 - 8*c_0110_6^2 - c_0110_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.240 seconds, Total memory usage: 32.09MB