Magma V2.19-8 Tue Aug 20 2013 23:38:35 on localhost [Seed = 3103710346] Type ? for help. Type -D to quit. Loading file "K11n67__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K11n67 geometric_solution 10.65032239 oriented_manifold CS_known -0.0000000000000006 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 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 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 0.657744601179 0.842877073955 0 5 6 4 0132 0132 0132 3201 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 -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 0.493568420227 0.649826225839 7 0 9 8 0132 0132 0132 0132 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 -1 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 0.787201643977 0.901936952638 10 9 5 0 0132 0132 3120 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.227909805735 0.905216358511 7 1 0 10 3012 2310 0132 3012 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 0 -1 1 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 1.177845549357 1.449738528625 8 1 3 7 3012 0132 3120 3012 0 0 0 0 0 0 0 0 0 0 -1 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 1 0 -1 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 0.409863834699 1.240248280439 7 8 9 1 1023 3012 2103 0132 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 -1 0 -1 1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.528477179031 0.502209413381 2 6 5 4 0132 1023 1230 1230 0 0 0 0 0 1 -1 0 0 0 -1 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 -1 1 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 0.678273385045 0.585582072717 6 10 2 5 1230 0132 0132 1230 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 -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 0.342834792571 1.047124034667 6 3 10 2 2103 0132 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 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 0.382507234946 0.888965531171 3 8 4 9 0132 0132 1230 0132 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 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 0.596293516686 0.880297280617 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0101_5'], 'c_1001_5' : negation(d['c_1001_2']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0101_3'], 'c_1001_6' : d['c_0011_10'], 'c_1001_1' : negation(d['c_0101_7']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_1001_0'], 'c_1010_10' : d['c_1001_0'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_10' : d['c_0101_0'], 's_2_0' : d['1'], 's_2_1' : negation(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_2_7' : d['1'], 's_2_10' : d['1'], 's_0_8' : negation(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' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_0110_4'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0101_3']), 'c_1100_4' : negation(d['c_0101_5']), 'c_1100_7' : d['c_0110_4'], 'c_1100_6' : negation(d['c_0011_4']), 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : negation(d['c_0101_5']), 'c_1100_3' : negation(d['c_0101_5']), 'c_1100_2' : d['c_0110_4'], 'c_1100_10' : d['c_0110_4'], 'c_1010_7' : d['c_0101_1'], 'c_1010_6' : negation(d['c_0101_7']), 'c_1010_5' : negation(d['c_0101_7']), 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_1001_2']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_0101_5'], 'c_1100_8' : d['c_0110_4'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(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' : d['1'], 's_3_8' : d['1'], 's_1_7' : d['1'], 's_1_6' : negation(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_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_10'], 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : d['c_0011_0'], '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_10' : d['c_0101_3'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_3'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_3'], 'c_0101_8' : d['c_0101_7'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_4'], 'c_0110_8' : d['c_0011_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_0110_4'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0011_4'], 'c_0110_6' : d['c_0101_1']})} 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_4, c_0101_0, c_0101_1, c_0101_3, c_0101_5, c_0101_7, c_0110_4, c_1001_0, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 1154443933903/127928221696*c_1001_2^13 - 8055007323875/2174779768832*c_1001_2^12 - 295802465579/10258395136*c_1001_2^11 - 54529839485225/1087389884416*c_1001_2^10 - 51321490140765/1087389884416*c_1001_2^9 - 78593552630761/1087389884416*c_1001_2^8 - 270188671217643/2174779768832*c_1001_2^7 + 11736456495979/2174779768832*c_1001_2^6 - 2644244784615/18430337024*c_1001_2^5 - 443122682549/31982055424*c_1001_2^4 - 193016240758749/2174779768832*c_1001_2^3 + 3169734962475/127928221696*c_1001_2^2 - 1726008470245/41033580544*c_1001_2 - 11392522747627/2174779768832, c_0011_0 - 1, c_0011_10 + 17/128*c_1001_2^13 + 11/128*c_1001_2^12 + 5/16*c_1001_2^11 + 37/64*c_1001_2^10 + 35/64*c_1001_2^9 + 49/64*c_1001_2^8 + 221/128*c_1001_2^7 + 73/128*c_1001_2^6 + 143/64*c_1001_2^5 + 19/16*c_1001_2^4 + 295/128*c_1001_2^3 + 185/128*c_1001_2^2 + 159/128*c_1001_2 + 111/128, c_0011_4 - 2099313/232448*c_1001_2^13 + 1107675/232448*c_1001_2^12 - 452305/58112*c_1001_2^11 - 1255207/116224*c_1001_2^10 + 2151365/116224*c_1001_2^9 + 1080953/116224*c_1001_2^8 - 11872341/232448*c_1001_2^7 + 22653725/232448*c_1001_2^6 - 8296067/116224*c_1001_2^5 + 3688489/58112*c_1001_2^4 - 10436515/232448*c_1001_2^3 + 13038013/232448*c_1001_2^2 - 7686423/232448*c_1001_2 + 3475907/232448, c_0101_0 - 1810653/232448*c_1001_2^13 - 3202113/232448*c_1001_2^12 - 1023661/58112*c_1001_2^11 - 4186363/116224*c_1001_2^10 - 4263871/116224*c_1001_2^9 - 1927515/116224*c_1001_2^8 - 12650673/232448*c_1001_2^7 - 8099431/232448*c_1001_2^6 - 1239495/116224*c_1001_2^5 - 1426443/58112*c_1001_2^4 - 3459367/232448*c_1001_2^3 - 3199495/232448*c_1001_2^2 + 1720629/232448*c_1001_2 - 2335417/232448, c_0101_1 - 2809097/232448*c_1001_2^13 + 1572115/232448*c_1001_2^12 - 499401/58112*c_1001_2^11 - 1505647/116224*c_1001_2^10 + 3143341/116224*c_1001_2^9 + 1878513/116224*c_1001_2^8 - 15890925/232448*c_1001_2^7 + 30165989/232448*c_1001_2^6 - 10395179/116224*c_1001_2^5 + 4738681/58112*c_1001_2^4 - 13983755/232448*c_1001_2^3 + 17317669/232448*c_1001_2^2 - 10002207/232448*c_1001_2 + 4213691/232448, c_0101_3 - 141831/58112*c_1001_2^13 - 771807/58112*c_1001_2^12 - 185947/14528*c_1001_2^11 - 736481/29056*c_1001_2^10 - 1118705/29056*c_1001_2^9 - 573361/29056*c_1001_2^8 - 1178027/58112*c_1001_2^7 - 3759833/58112*c_1001_2^6 + 448515/29056*c_1001_2^5 - 560375/14528*c_1001_2^4 + 457603/58112*c_1001_2^3 - 1713649/58112*c_1001_2^2 + 949559/58112*c_1001_2 - 586903/58112, c_0101_5 - 2828953/232448*c_1001_2^13 - 2028413/232448*c_1001_2^12 - 1171001/58112*c_1001_2^11 - 4537919/116224*c_1001_2^10 - 2607363/116224*c_1001_2^9 - 1429343/116224*c_1001_2^8 - 19441213/232448*c_1001_2^7 + 6218805/232448*c_1001_2^6 - 6480603/116224*c_1001_2^5 + 714665/58112*c_1001_2^4 - 9814587/232448*c_1001_2^3 + 5103925/232448*c_1001_2^2 - 3483791/232448*c_1001_2 - 47765/232448, c_0101_7 - 281231/29056*c_1001_2^13 - 186257/29056*c_1001_2^12 - 118965/7264*c_1001_2^11 - 453933/14528*c_1001_2^10 - 268679/14528*c_1001_2^9 - 192589/14528*c_1001_2^8 - 2043743/29056*c_1001_2^7 + 612657/29056*c_1001_2^6 - 755361/14528*c_1001_2^5 + 10561/908*c_1001_2^4 - 1090409/29056*c_1001_2^3 + 540701/29056*c_1001_2^2 - 412677/29056*c_1001_2 + 32407/29056, c_0110_4 - 1202971/116224*c_1001_2^13 + 250345/116224*c_1001_2^12 - 250491/29056*c_1001_2^11 - 886589/58112*c_1001_2^10 + 838967/58112*c_1001_2^9 + 725411/58112*c_1001_2^8 - 6660007/116224*c_1001_2^7 + 10331935/116224*c_1001_2^6 - 3467745/58112*c_1001_2^5 + 1608099/29056*c_1001_2^4 - 5018049/116224*c_1001_2^3 + 5869535/116224*c_1001_2^2 - 3122941/116224*c_1001_2 + 1249793/116224, c_1001_0 - 281231/29056*c_1001_2^13 - 186257/29056*c_1001_2^12 - 118965/7264*c_1001_2^11 - 453933/14528*c_1001_2^10 - 268679/14528*c_1001_2^9 - 192589/14528*c_1001_2^8 - 2043743/29056*c_1001_2^7 + 612657/29056*c_1001_2^6 - 755361/14528*c_1001_2^5 + 10561/908*c_1001_2^4 - 1090409/29056*c_1001_2^3 + 540701/29056*c_1001_2^2 - 412677/29056*c_1001_2 + 32407/29056, c_1001_2^14 - 6/17*c_1001_2^13 + 29/17*c_1001_2^12 + 2*c_1001_2^11 - 4/17*c_1001_2^10 + 28/17*c_1001_2^9 + 123/17*c_1001_2^8 - 148/17*c_1001_2^7 + 213/17*c_1001_2^6 - 134/17*c_1001_2^5 + 143/17*c_1001_2^4 - 110/17*c_1001_2^3 + 6*c_1001_2^2 - 48/17*c_1001_2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.340 Total time: 0.550 seconds, Total memory usage: 32.09MB