Magma V2.19-8 Wed Aug 21 2013 00:53:56 on localhost [Seed = 711737241] Type ? for help. Type -D to quit. Loading file "L12n200__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n200 geometric_solution 11.36375264 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 0 1 0 0 0 0 -1 0 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 1 -1 9 0 0 -9 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.848701659205 1.146785890013 0 2 4 5 0132 0213 0213 0132 1 1 1 0 0 0 0 0 1 0 0 -1 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 -9 0 0 9 0 -10 0 10 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.583032084343 0.563416975892 4 0 1 3 0213 0132 0213 0132 1 1 1 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 10 -10 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.435997816820 0.434288947259 6 7 2 0 0132 0132 0132 0132 1 1 1 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 0 0 0 0 0 0 0 1 0 -1 -10 0 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.166064168686 1.126833951784 2 1 0 6 0213 0213 0132 0213 1 1 1 0 0 0 0 0 0 0 -1 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 0 1 -1 0 0 9 -9 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.435997816820 0.434288947259 8 9 1 10 0132 0132 0132 0132 1 1 1 1 0 0 0 0 0 0 1 -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 0 0 0 0 -9 9 0 -1 0 1 10 0 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.682060055320 1.513350282319 3 9 8 4 0132 0321 0132 0213 1 1 1 1 0 0 0 0 -1 0 1 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 -1 1 10 0 -10 0 0 -9 0 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.482945394027 0.340342867693 11 3 12 12 0132 0132 0132 0321 1 1 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 -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 0.684775933477 1.245427813427 5 11 10 6 0132 1302 0132 0132 1 1 1 1 0 0 0 0 0 0 1 -1 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 -1 1 0 0 -10 10 -10 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.238469139487 0.582976074943 11 5 11 6 1302 0132 1023 0321 1 1 1 1 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 1 0 -1 0 -9 0 0 9 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.759197779616 0.801744734007 12 12 5 8 2031 1023 0132 0132 1 1 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 0 1 -1 0 -9 10 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.684775933477 1.245427813427 7 9 9 8 0132 2031 1023 2031 1 1 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 0 0 0 0 0 0 0 0 9 1 -10 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 0.177262323127 0.809849975621 10 7 10 7 1023 0321 1302 0132 1 1 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 1 -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 0.661003442542 0.616545822763 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_3'], 'c_1001_11' : negation(d['c_0011_11']), 'c_1001_10' : negation(d['c_0011_10']), 'c_1001_12' : d['c_0101_10'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_1001_6'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_0'], 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : negation(d['c_0011_10']), 'c_1001_8' : d['c_0101_7'], 'c_1010_12' : d['c_1001_0'], 'c_1010_11' : negation(d['c_0011_5']), 'c_1010_10' : d['c_0101_7'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : negation(d['1']), 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_10']), 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : 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' : negation(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' : 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_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_10'], 'c_1100_5' : d['c_1010_4'], 'c_1100_4' : d['c_1001_5'], 'c_1100_7' : d['c_0101_10'], 'c_1100_6' : d['c_1010_4'], 'c_1100_1' : d['c_1010_4'], 'c_1100_0' : d['c_1001_5'], 'c_1100_3' : d['c_1001_5'], 'c_1100_2' : d['c_1001_5'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_1001_6']), 'c_1100_10' : d['c_1010_4'], 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_0'], 'c_1010_6' : d['c_1001_5'], 'c_1010_5' : negation(d['c_0011_10']), 'c_1010_4' : d['c_1010_4'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : d['c_1001_5'], 'c_1010_8' : d['c_1001_6'], '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' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_0101_10'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(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_5']), 'c_0011_8' : negation(d['c_0011_5']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : negation(d['c_0011_11']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_11'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_7'], 'c_0110_10' : d['c_0101_10'], 'c_0110_12' : d['c_0101_7'], 'c_0101_12' : negation(d['c_0011_10']), 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_0']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_0']), 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_11']), 'c_0101_8' : d['c_0101_10'], 's_1_12' : negation(d['1']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_11'], 'c_0110_8' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1001_6'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : negation(d['c_0101_3']), 'c_0110_7' : negation(d['c_0011_10']), 'c_1100_8' : d['c_1010_4']})} 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_0011_5, c_0101_0, c_0101_10, c_0101_3, c_0101_7, c_1001_0, c_1001_1, c_1001_5, c_1001_6, c_1010_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 2333793892532263585944765209/1638817306372096000000*c_1010_4^13 - 2654136894692031702956982773/1638817306372096000000*c_1010_4^12 + 186733348773895038732397069/819408653186048000000*c_1010_4^11 + 1543027435171779320576949497/819408653186048000000*c_1010_4^10 + 399228931590481713283924773/327763461274419200000*c_1010_4^9 - 900755842244340873791845163/1638817306372096000000*c_1010_4^8 - 428583492462087302992274213/409704326593024000000*c_1010_4^7 - 43363155762268554061505393/409704326593024000000*c_1010_4^6 + 772445220544533820205590633/1638817306372096000000*c_1010_4^5 + 58454206022992442669712257/327763461274419200000*c_1010_4^4 - 18585620575435986578021623/163881730637209600000*c_1010_4^3 - 61238208633489531353929447/819408653186048000000*c_1010_4^2 + 3200828246721265439629527/1638817306372096000000*c_1010_4 + 12456368684329443444609531/1638817306372096000000, c_0011_0 - 1, c_0011_10 - 2161207983/1501184*c_1010_4^13 - 2464543645/1501184*c_1010_4^12 + 28037529/93824*c_1010_4^11 + 723136253/375296*c_1010_4^10 + 1765006729/1501184*c_1010_4^9 - 925900537/1501184*c_1010_4^8 - 198626585/187648*c_1010_4^7 - 5763611/93824*c_1010_4^6 + 747152979/1501184*c_1010_4^5 + 239858945/1501184*c_1010_4^4 - 23671065/187648*c_1010_4^3 - 26243217/375296*c_1010_4^2 + 8277715/1501184*c_1010_4 + 10857877/1501184, c_0011_11 - 161883963/1501184*c_1010_4^13 - 128726415/750592*c_1010_4^12 + 13147307/750592*c_1010_4^11 + 142582201/750592*c_1010_4^10 + 218559299/1501184*c_1010_4^9 - 20319409/375296*c_1010_4^8 - 45204339/375296*c_1010_4^7 - 8227575/375296*c_1010_4^6 + 83639259/1501184*c_1010_4^5 + 19947421/750592*c_1010_4^4 - 10525941/750592*c_1010_4^3 - 9222267/750592*c_1010_4^2 + 678333/1501184*c_1010_4 + 187305/187648, c_0011_5 - 441117563/1501184*c_1010_4^13 - 476913225/1501184*c_1010_4^12 + 31289779/375296*c_1010_4^11 + 18619435/46912*c_1010_4^10 + 311451921/1501184*c_1010_4^9 - 208123777/1501184*c_1010_4^8 - 19078857/93824*c_1010_4^7 - 163555/187648*c_1010_4^6 + 148452247/1501184*c_1010_4^5 + 29218245/1501184*c_1010_4^4 - 9924975/375296*c_1010_4^3 - 2108921/187648*c_1010_4^2 + 2618195/1501184*c_1010_4 + 1019525/1501184, c_0101_0 - 1, c_0101_10 - 700678927/375296*c_1010_4^13 - 1443489413/750592*c_1010_4^12 + 124133647/375296*c_1010_4^11 + 217464385/93824*c_1010_4^10 + 269202847/187648*c_1010_4^9 - 531716053/750592*c_1010_4^8 - 233835141/187648*c_1010_4^7 - 9147073/93824*c_1010_4^6 + 209918533/375296*c_1010_4^5 + 153275201/750592*c_1010_4^4 - 49680645/375296*c_1010_4^3 - 64185/733*c_1010_4^2 + 127139/93824*c_1010_4 + 6882073/750592, c_0101_3 + 184422921/93824*c_1010_4^13 + 422291193/187648*c_1010_4^12 - 20228003/46912*c_1010_4^11 - 251667851/93824*c_1010_4^10 - 157430811/93824*c_1010_4^9 + 160756075/187648*c_1010_4^8 + 34864513/23456*c_1010_4^7 + 5513807/46912*c_1010_4^6 - 64727445/93824*c_1010_4^5 - 45063361/187648*c_1010_4^4 + 8085369/46912*c_1010_4^3 + 9751645/93824*c_1010_4^2 - 532137/93824*c_1010_4 - 2136003/187648, c_0101_7 + 603427815/1501184*c_1010_4^13 + 68510599/375296*c_1010_4^12 - 151826747/750592*c_1010_4^11 - 293485221/750592*c_1010_4^10 - 137110527/1501184*c_1010_4^9 + 164220377/750592*c_1010_4^8 + 56344347/375296*c_1010_4^7 - 25457161/375296*c_1010_4^6 - 133908839/1501184*c_1010_4^5 + 117303/46912*c_1010_4^4 + 19374549/750592*c_1010_4^3 + 4806407/750592*c_1010_4^2 - 2791649/1501184*c_1010_4 - 937991/750592, c_1001_0 - c_1010_4, c_1001_1 + 1114848731/375296*c_1010_4^13 + 79603869/23456*c_1010_4^12 - 84419857/187648*c_1010_4^11 - 187219471/46912*c_1010_4^10 - 976785967/375296*c_1010_4^9 + 106573155/93824*c_1010_4^8 + 209988157/93824*c_1010_4^7 + 2968481/11728*c_1010_4^6 - 374240179/375296*c_1010_4^5 - 18617305/46912*c_1010_4^4 + 44686567/187648*c_1010_4^3 + 7744559/46912*c_1010_4^2 - 1149273/375296*c_1010_4 - 1629917/93824, c_1001_5 + 1114848731/375296*c_1010_4^13 + 79603869/23456*c_1010_4^12 - 84419857/187648*c_1010_4^11 - 187219471/46912*c_1010_4^10 - 976785967/375296*c_1010_4^9 + 106573155/93824*c_1010_4^8 + 209988157/93824*c_1010_4^7 + 2968481/11728*c_1010_4^6 - 374240179/375296*c_1010_4^5 - 18617305/46912*c_1010_4^4 + 44686567/187648*c_1010_4^3 + 7744559/46912*c_1010_4^2 - 773977/375296*c_1010_4 - 1629917/93824, c_1001_6 + 900496889/375296*c_1010_4^13 + 4236888117/1501184*c_1010_4^12 - 239092495/750592*c_1010_4^11 - 2437531445/750592*c_1010_4^10 - 1628929273/750592*c_1010_4^9 + 1353723203/1501184*c_1010_4^8 + 689044173/375296*c_1010_4^7 + 85150237/375296*c_1010_4^6 - 19142005/23456*c_1010_4^5 - 497130101/1501184*c_1010_4^4 + 146997509/750592*c_1010_4^3 + 101998859/750592*c_1010_4^2 - 2828489/750592*c_1010_4 - 21204707/1501184, c_1010_4^14 + 2322/2861*c_1010_4^13 - 1517/2861*c_1010_4^12 - 3636/2861*c_1010_4^11 - 1215/2861*c_1010_4^10 + 1902/2861*c_1010_4^9 + 1743/2861*c_1010_4^8 - 472/2861*c_1010_4^7 - 1017/2861*c_1010_4^6 - 50/2861*c_1010_4^5 + 345/2861*c_1010_4^4 + 76/2861*c_1010_4^3 - 53/2861*c_1010_4^2 - 14/2861*c_1010_4 + 5/2861 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.300 Total time: 0.500 seconds, Total memory usage: 32.09MB