Magma V2.19-8 Tue Aug 20 2013 23:39:09 on localhost [Seed = 1848117762] Type ? for help. Type -D to quit. Loading file "L11a206__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L11a206 geometric_solution 9.03669081 oriented_manifold CS_known -0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 10 1 0 2 0 0132 1302 0132 2031 1 1 1 1 0 0 -1 1 0 0 0 0 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 2 -1 -1 0 0 1 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.439110858411 0.585466339548 0 3 5 4 0132 0132 0132 0132 0 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 -1 1 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 0.963655895480 0.612092005279 6 5 3 0 0132 1023 3201 0132 1 1 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 0 0 0 0 0 0 0 0 0 0 0 2 -2 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 -0.292577307616 1.195078150765 2 1 7 8 2310 0132 0132 0132 0 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 1 -1 0 1 0 1 -2 0 0 0 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.344937944094 1.021053674328 9 8 1 5 0132 0132 0132 0321 0 1 1 1 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 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 0.942752429313 0.505385643340 2 4 6 1 1023 0321 0132 0132 0 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 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 0.598217132375 0.713556333816 2 9 9 5 0132 0213 0132 0132 0 1 1 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 0 0 0 0 2 -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 0.486093277791 1.264687332724 8 8 9 3 0132 0321 0213 0132 0 1 1 1 0 0 0 0 0 0 -1 1 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 1 -1 0 2 0 -2 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.486093277791 1.264687332724 7 4 3 7 0132 0132 0132 0321 0 1 1 1 0 0 0 0 0 0 -1 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 0 2 -2 2 0 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.526974664660 0.437362436880 4 7 6 6 0132 0213 0213 0132 0 1 1 1 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 -2 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 0.735203034228 0.688932317430 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_1001_3'], 'c_1001_7' : d['c_1001_6'], 'c_1001_6' : d['c_1001_6'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0101_2'], 'c_1001_9' : d['c_1001_6'], 'c_1001_8' : d['c_1001_1'], 's_2_8' : d['1'], 's_2_9' : d['1'], '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' : d['1'], 's_2_6' : d['1'], 's_2_7' : 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' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_1001_5'], 'c_1100_8' : d['c_1001_6'], 'c_1100_5' : d['c_1001_5'], 'c_1100_4' : d['c_1001_5'], 'c_1100_7' : d['c_1001_6'], 'c_1100_6' : d['c_1001_5'], 'c_1100_1' : d['c_1001_5'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_1001_6'], 'c_1100_2' : negation(d['c_0011_0']), 'c_1010_7' : d['c_1001_3'], 'c_1010_6' : d['c_1001_5'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_1001_1'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : d['c_1001_3'], 'c_1010_0' : d['c_0011_0'], 'c_1010_9' : d['c_1001_6'], 'c_1010_8' : d['c_1001_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' : d['1'], 's_1_4' : 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_4']), 'c_0011_8' : negation(d['c_0011_4']), 'c_0011_5' : d['c_0011_2'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_2']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : d['c_0011_2'], 'c_0101_7' : negation(d['c_0011_4']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0101_2']), '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_0011_2']), 'c_0101_8' : negation(d['c_0101_2']), 'c_0110_9' : d['c_0101_0'], 'c_0110_8' : negation(d['c_0011_4']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_2']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0011_2']), 'c_0110_7' : negation(d['c_0101_2']), 'c_0110_6' : d['c_0101_2']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_4, c_0101_0, c_0101_1, c_0101_2, c_1001_1, c_1001_3, c_1001_5, c_1001_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 989731402475304781/182885697426663*c_1001_6^10 + 1097616297994176694/60961899142221*c_1001_6^9 + 2941720902803228339/182885697426663*c_1001_6^8 - 1746811880346685877/182885697426663*c_1001_6^7 - 387686541702173073/20320633047407*c_1001_6^6 - 10660675062638783/2375138927619*c_1001_6^5 + 373294982318720531/60961899142221*c_1001_6^4 + 764609272124713/182885697426663*c_1001_6^3 - 104777939826662222/60961899142221*c_1001_6^2 - 407728796211490/1677850435107*c_1001_6 + 126351770545089932/182885697426663, c_0011_0 - 1, c_0011_2 - 24927413534/2421140599*c_1001_6^10 - 79221455605/2421140599*c_1001_6^9 - 68988331683/2421140599*c_1001_6^8 + 35332242401/2421140599*c_1001_6^7 + 78289508880/2421140599*c_1001_6^6 + 46373966666/2421140599*c_1001_6^5 + 593495853/2421140599*c_1001_6^4 - 116717897/2421140599*c_1001_6^3 + 1266748590/2421140599*c_1001_6^2 + 3944045360/2421140599*c_1001_6 - 1290198414/2421140599, c_0011_4 - 8843358313/2421140599*c_1001_6^10 - 27047246527/2421140599*c_1001_6^9 - 19521743623/2421140599*c_1001_6^8 + 17838812713/2421140599*c_1001_6^7 + 23660188677/2421140599*c_1001_6^6 + 5282403168/2421140599*c_1001_6^5 - 2348846819/2421140599*c_1001_6^4 + 5977739450/2421140599*c_1001_6^3 + 5691373394/2421140599*c_1001_6^2 - 155925019/2421140599*c_1001_6 + 483508877/2421140599, c_0101_0 + 20081991022/2421140599*c_1001_6^10 + 59021701954/2421140599*c_1001_6^9 + 38671756566/2421140599*c_1001_6^8 - 41024226117/2421140599*c_1001_6^7 - 42558589537/2421140599*c_1001_6^6 - 7211705366/2421140599*c_1001_6^5 + 2247917385/2421140599*c_1001_6^4 - 6514469426/2421140599*c_1001_6^3 + 16600624/2421140599*c_1001_6^2 - 1037376336/2421140599*c_1001_6 + 195867978/2421140599, c_0101_1 - 8996829982/2421140599*c_1001_6^10 - 44905984431/2421140599*c_1001_6^9 - 81436743852/2421140599*c_1001_6^8 - 55799843594/2421140599*c_1001_6^7 + 6847933592/2421140599*c_1001_6^6 + 33130170117/2421140599*c_1001_6^5 + 29814121959/2421140599*c_1001_6^4 + 14995765931/2421140599*c_1001_6^3 + 4139698883/2421140599*c_1001_6^2 + 1716625598/2421140599*c_1001_6 + 3102537002/2421140599, c_0101_2 - 4796215933/2421140599*c_1001_6^10 - 12621905013/2421140599*c_1001_6^9 - 4250357517/2421140599*c_1001_6^8 + 17821622681/2421140599*c_1001_6^7 + 17531806925/2421140599*c_1001_6^6 + 5215713333/2421140599*c_1001_6^5 + 490926778/2421140599*c_1001_6^4 + 8531146991/2421140599*c_1001_6^3 + 4394369883/2421140599*c_1001_6^2 + 3033994080/2421140599*c_1001_6 + 198239254/2421140599, c_1001_1 - 1, c_1001_3 - 1903207800/2421140599*c_1001_6^10 - 2650939753/2421140599*c_1001_6^9 + 5460606681/2421140599*c_1001_6^8 + 10724836359/2421140599*c_1001_6^7 - 2340716986/2421140599*c_1001_6^6 - 7873576843/2421140599*c_1001_6^5 + 27636553/2421140599*c_1001_6^4 + 4382191826/2421140599*c_1001_6^3 - 3935387689/2421140599*c_1001_6^2 - 827316371/2421140599*c_1001_6 - 965809378/2421140599, c_1001_5 + 22991275457/2421140599*c_1001_6^10 + 88736897749/2421140599*c_1001_6^9 + 113903028618/2421140599*c_1001_6^8 + 18642409974/2421140599*c_1001_6^7 - 66929754608/2421140599*c_1001_6^6 - 53513169169/2421140599*c_1001_6^5 - 11747374952/2421140599*c_1001_6^4 - 6857094057/2421140599*c_1001_6^3 - 6370963344/2421140599*c_1001_6^2 - 2742274108/2421140599*c_1001_6 - 801944332/2421140599, c_1001_6^11 + 109/31*c_1001_6^10 + 119/31*c_1001_6^9 - 9/31*c_1001_6^8 - 83/31*c_1001_6^7 - 40/31*c_1001_6^6 + 8/31*c_1001_6^5 - 11/31*c_1001_6^4 - 11/31*c_1001_6^3 - 4/31*c_1001_6^2 + 1/31*c_1001_6 - 1/31 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB