Magma V2.19-8 Tue Aug 20 2013 23:39:21 on localhost [Seed = 4206665380] Type ? for help. Type -D to quit. Loading file "K13n3061__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n3061 geometric_solution 9.22288782 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 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 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 0.781373291823 0.744676595710 0 5 7 6 0132 0132 0132 0132 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 -12 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.835025071916 0.229728305765 5 0 3 8 2031 0132 2310 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 1 0 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.781373291823 0.744676595710 6 2 9 0 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 -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 0.268843239629 0.346698172866 9 8 0 8 2310 3120 0132 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.603239854072 1.801251135020 7 1 2 10 2310 0132 1302 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 -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 0.496314276296 0.400366270078 3 8 1 9 0132 1023 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 1 -12 11 -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 0.781373291823 0.744676595710 10 10 5 1 0213 0132 3201 0132 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 -11 -1 12 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 1.650712821076 0.704015318770 6 4 2 4 1023 3120 0132 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.603239854072 1.801251135020 6 10 4 3 3201 1302 3201 0132 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 1 -11 11 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.781373291823 0.744676595710 7 7 5 9 0213 0132 0132 2031 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 11 0 -11 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 0.163278493645 0.485410313249 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_1001_1'], 'c_1001_5' : d['c_0101_8'], 'c_1001_4' : negation(d['c_1001_0']), 'c_1001_7' : negation(d['c_0011_0']), 'c_1001_6' : d['c_0101_8'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_1001_0']), 'c_1001_9' : negation(d['c_0101_1']), 'c_1001_8' : d['c_1001_0'], 'c_1010_10' : negation(d['c_0011_0']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : negation(d['c_0011_10']), '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' : negation(d['1']), 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_10' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : 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_1100_9' : negation(d['c_0011_4']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0101_2'], 'c_1100_4' : negation(d['c_0011_4']), 'c_1100_7' : negation(d['c_0011_0']), 'c_1100_6' : negation(d['c_0011_0']), 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : negation(d['c_0011_4']), 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0011_3'], 'c_1100_10' : d['c_0101_2'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : negation(d['c_0101_3']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_8'], 'c_1010_0' : negation(d['c_1001_0']), 'c_1010_9' : negation(d['c_0101_2']), 'c_1010_8' : negation(d['c_0011_4']), 'c_1100_8' : d['c_0011_3'], '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_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : 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' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_0']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_10']), 'c_0011_6' : negation(d['c_0011_3']), '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' : negation(d['c_0011_0']), 'c_0110_10' : negation(d['c_0101_1']), 'c_0101_7' : d['c_0011_10'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_0'], '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' : negation(d['c_0101_3']), 'c_0101_8' : d['c_0101_8'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : negation(d['c_0101_3']), '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_8'], 'c_0110_5' : negation(d['c_0011_10']), 'c_0110_4' : d['c_0101_3'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_3']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_4, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0101_8, c_1001_0, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 7114403689939/1033973787776*c_1001_1^13 + 17582281580291/1033973787776*c_1001_1^12 + 5369373396255/129246723472*c_1001_1^11 - 24633015081323/258493446944*c_1001_1^10 - 72949584875789/516986893888*c_1001_1^9 + 65176700460059/516986893888*c_1001_1^8 + 278402390941935/516986893888*c_1001_1^7 + 37931783401251/516986893888*c_1001_1^6 - 38802011950715/35654268544*c_1001_1^5 - 562251638136089/1033973787776*c_1001_1^4 + 427899176755511/516986893888*c_1001_1^3 + 8372803582353/9754469696*c_1001_1^2 + 9222055971829/1033973787776*c_1001_1 - 225721458943937/1033973787776, c_0011_0 - 1, c_0011_10 - 204093/724916*c_1001_1^13 + 193643/724916*c_1001_1^12 + 366068/181229*c_1001_1^11 - 161651/181229*c_1001_1^10 - 2452911/362458*c_1001_1^9 - 1567605/362458*c_1001_1^8 + 5582529/362458*c_1001_1^7 + 4095978/181229*c_1001_1^6 - 10110337/724916*c_1001_1^5 - 28676409/724916*c_1001_1^4 - 4741641/362458*c_1001_1^3 + 4241151/181229*c_1001_1^2 + 17401523/724916*c_1001_1 + 5012889/724916, c_0011_3 - 5225/1449832*c_1001_1^13 - 79011/1449832*c_1001_1^12 + 21140/181229*c_1001_1^11 + 65450/181229*c_1001_1^10 - 373719/724916*c_1001_1^9 - 914979/724916*c_1001_1^8 - 10459/724916*c_1001_1^7 + 2804307/724916*c_1001_1^6 + 4299739/1449832*c_1001_1^5 - 8419939/1449832*c_1001_1^4 - 4839259/724916*c_1001_1^3 + 648463/724916*c_1001_1^2 + 9065247/1449832*c_1001_1 + 4533081/1449832, c_0011_4 + 5225/1449832*c_1001_1^13 + 79011/1449832*c_1001_1^12 - 21140/181229*c_1001_1^11 - 65450/181229*c_1001_1^10 + 373719/724916*c_1001_1^9 + 914979/724916*c_1001_1^8 + 10459/724916*c_1001_1^7 - 2804307/724916*c_1001_1^6 - 4299739/1449832*c_1001_1^5 + 8419939/1449832*c_1001_1^4 + 4839259/724916*c_1001_1^3 - 648463/724916*c_1001_1^2 - 9065247/1449832*c_1001_1 - 4533081/1449832, c_0101_0 + c_1001_1^2 - c_1001_1 - 1, c_0101_1 + 5225/362458*c_1001_1^13 + 79011/362458*c_1001_1^12 - 84560/181229*c_1001_1^11 - 261800/181229*c_1001_1^10 + 373719/181229*c_1001_1^9 + 914979/181229*c_1001_1^8 - 160311/362458*c_1001_1^7 - 5427385/362458*c_1001_1^6 - 3574823/362458*c_1001_1^5 + 8057481/362458*c_1001_1^4 + 8409915/362458*c_1001_1^3 - 2565529/362458*c_1001_1^2 - 3535864/181229*c_1001_1 - 1451010/181229, c_0101_2 + c_1001_1^2 - c_1001_1 - 1, c_0101_3 - 1719/1449832*c_1001_1^13 + 1615/1449832*c_1001_1^12 + 3331/362458*c_1001_1^11 + 2456/181229*c_1001_1^10 - 83619/724916*c_1001_1^9 - 44563/724916*c_1001_1^8 + 328633/724916*c_1001_1^7 + 147325/724916*c_1001_1^6 - 1023899/1449832*c_1001_1^5 - 1906325/1449832*c_1001_1^4 + 775989/724916*c_1001_1^3 + 1509935/724916*c_1001_1^2 - 832647/1449832*c_1001_1 - 2133773/1449832, c_0101_8 + 5225/362458*c_1001_1^13 + 79011/362458*c_1001_1^12 - 84560/181229*c_1001_1^11 - 261800/181229*c_1001_1^10 + 373719/181229*c_1001_1^9 + 914979/181229*c_1001_1^8 - 160311/362458*c_1001_1^7 - 5427385/362458*c_1001_1^6 - 3574823/362458*c_1001_1^5 + 8057481/362458*c_1001_1^4 + 8409915/362458*c_1001_1^3 - 2565529/362458*c_1001_1^2 - 3535864/181229*c_1001_1 - 1451010/181229, c_1001_0 + 1719/1449832*c_1001_1^13 - 1615/1449832*c_1001_1^12 - 3331/362458*c_1001_1^11 - 2456/181229*c_1001_1^10 + 83619/724916*c_1001_1^9 + 44563/724916*c_1001_1^8 - 328633/724916*c_1001_1^7 - 147325/724916*c_1001_1^6 + 1023899/1449832*c_1001_1^5 + 1906325/1449832*c_1001_1^4 - 775989/724916*c_1001_1^3 - 1509935/724916*c_1001_1^2 + 832647/1449832*c_1001_1 + 2133773/1449832, c_1001_1^14 - 2*c_1001_1^13 - 7*c_1001_1^12 + 12*c_1001_1^11 + 26*c_1001_1^10 - 16*c_1001_1^9 - 88*c_1001_1^8 - 24*c_1001_1^7 + 183*c_1001_1^6 + 126*c_1001_1^5 - 173*c_1001_1^4 - 212*c_1001_1^3 + 23*c_1001_1^2 + 130*c_1001_1 + 53 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.190 Total time: 0.400 seconds, Total memory usage: 32.09MB