Magma V2.19-8 Tue Aug 20 2013 23:42:11 on localhost [Seed = 1545222413] Type ? for help. Type -D to quit. Loading file "L13a4982__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L13a4982 geometric_solution 9.20240430 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 0 0 2 0132 1230 3012 0132 1 1 1 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 0 0 0 0 0 2 -1 -1 2 0 -2 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 0.313977046923 1.400536047988 0 3 4 4 0132 0132 0213 0132 0 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 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.078335891319 0.663787093462 5 4 0 3 0132 1023 0132 2310 1 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 -1 1 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 0.563386567881 0.344658664924 2 1 6 6 3201 0132 0132 0321 0 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 -1 -1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.625669655601 0.795447834274 2 1 1 7 1023 0213 0132 0132 0 1 1 1 0 0 0 0 1 0 0 -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 1 -1 1 0 0 -1 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.714425084302 0.514532513243 2 8 6 7 0132 0132 3201 3120 1 1 1 1 0 0 1 -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 0 0 0 0 2 -2 0 0 0 0 1 1 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.547294143557 0.942370630408 5 3 9 3 2310 0321 0132 0132 0 1 1 1 0 -1 0 1 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 -2 1 1 0 0 0 0 0 0 0 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.389113656458 0.776653006276 5 9 4 9 3120 0213 0132 0321 0 1 1 1 0 0 0 0 0 0 1 -1 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 1 -1 2 0 0 -2 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.723875119056 1.619314381627 10 5 9 10 0132 0132 3201 3201 1 1 1 1 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 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 0.829758527812 0.246846882162 8 7 7 6 2310 0321 0213 0132 0 1 1 1 0 0 0 0 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 0 -1 0 0 0 0 0 2 0 -2 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.769918936304 0.514693164021 8 8 10 10 0132 2310 1230 3012 1 1 1 1 0 0 -1 1 0 0 -1 1 -1 0 0 1 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 -1 1 -1 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.345829658484 0.476214741640 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_3'], 'c_1001_10' : d['c_0101_6'], 'c_1001_5' : negation(d['c_0101_6']), 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : d['c_1001_6'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_1001_1'], 'c_1001_2' : d['c_0101_0'], 'c_1001_9' : d['c_1001_7'], 'c_1001_8' : negation(d['c_0011_7']), 'c_1010_10' : negation(d['c_0101_10']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(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_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' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_1001_6'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0011_6']), 'c_1100_4' : d['c_1001_7'], 'c_1100_7' : d['c_1001_7'], 'c_1100_6' : d['c_1001_6'], 'c_1100_1' : d['c_1001_7'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_1001_6'], 'c_1100_2' : d['c_0011_0'], 'c_1100_10' : negation(d['c_0101_6']), 'c_1010_7' : d['c_1001_6'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : negation(d['c_0011_7']), 'c_1010_4' : d['c_1001_7'], 'c_1010_3' : d['c_1001_1'], 'c_1010_2' : d['c_0011_6'], 'c_1010_1' : d['c_1001_1'], 'c_1010_0' : d['c_0101_0'], 'c_1010_9' : d['c_1001_6'], 'c_1010_8' : negation(d['c_0101_6']), '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' : 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_10'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_6'], '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' : negation(d['c_0011_10']), 'c_0110_10' : negation(d['c_0101_6']), 'c_0101_7' : d['c_0011_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0101_3']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_10']), 'c_0101_1' : negation(d['c_0011_10']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_7'], 'c_0101_8' : negation(d['c_0101_6']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_6'], 'c_0110_8' : d['c_0101_10'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_10']), 'c_0110_3' : negation(d['c_0011_6']), 'c_0110_2' : negation(d['c_0101_3']), 'c_0110_5' : negation(d['c_0011_10']), 'c_0110_4' : d['c_0011_6'], 'c_0110_7' : negation(d['c_0011_10']), 'c_1100_8' : negation(d['c_0011_10'])})} 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_6, c_0011_7, c_0101_0, c_0101_10, c_0101_3, c_0101_6, c_1001_1, c_1001_6, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 542462280199997882251/208329660012540064*c_1001_7^17 + 2914754452582412876119/208329660012540064*c_1001_7^16 + 1036949159563445997863/52082415003135016*c_1001_7^15 - 1816202513196644681931/104164830006270032*c_1001_7^14 - 2928776889901260305829/52082415003135016*c_1001_7^13 + 752144765813522262799/52082415003135016*c_1001_7^12 + 14655537964719648984261/104164830006270032*c_1001_7^11 + 11356800666667217441125/104164830006270032*c_1001_7^10 - 25067686635030071114597/208329660012540064*c_1001_7^9 - 1488006862135191228291/5630531351690272*c_1001_7^8 - 604168697914944329960/6510301875391877*c_1001_7^7 + 17843432752669219237613/104164830006270032*c_1001_7^6 + 47601071891214570024423/208329660012540064*c_1001_7^5 + 3213674689983406589273/208329660012540064*c_1001_7^4 - 16856603546362797211637/104164830006270032*c_1001_7^3 - 16218132617687308139771/104164830006270032*c_1001_7^2 - 10230399666513930325271/208329660012540064*c_1001_7 - 22039396259161858779/208329660012540064, c_0011_0 - 1, c_0011_10 + 248452172/9023750179*c_1001_7^17 + 2410345985/18047500358*c_1001_7^16 + 1142396477/9023750179*c_1001_7^15 - 2956551739/9023750179*c_1001_7^14 - 4377328826/9023750179*c_1001_7^13 + 6511429427/9023750179*c_1001_7^12 + 14179024542/9023750179*c_1001_7^11 - 3096936653/9023750179*c_1001_7^10 - 22678213734/9023750179*c_1001_7^9 - 16488089207/18047500358*c_1001_7^8 + 20387269538/9023750179*c_1001_7^7 + 14368483336/9023750179*c_1001_7^6 - 11809434387/9023750179*c_1001_7^5 - 32031729669/18047500358*c_1001_7^4 - 841153071/9023750179*c_1001_7^3 + 5898749495/9023750179*c_1001_7^2 - 3296924641/9023750179*c_1001_7 - 11437769291/18047500358, c_0011_6 - c_1001_7^2, c_0011_7 + 632862203/18047500358*c_1001_7^17 + 2048522557/9023750179*c_1001_7^16 + 3974075464/9023750179*c_1001_7^15 - 1207834341/9023750179*c_1001_7^14 - 11329527434/9023750179*c_1001_7^13 - 1780668803/9023750179*c_1001_7^12 + 27652276221/9023750179*c_1001_7^11 + 25327033232/9023750179*c_1001_7^10 - 49045504729/18047500358*c_1001_7^9 - 52651032814/9023750179*c_1001_7^8 - 9994297356/9023750179*c_1001_7^7 + 36229235465/9023750179*c_1001_7^6 + 51207304739/18047500358*c_1001_7^5 - 4369717359/9023750179*c_1001_7^4 - 25699995100/9023750179*c_1001_7^3 - 18421463139/9023750179*c_1001_7^2 - 27824718255/18047500358*c_1001_7 - 5556007428/9023750179, c_0101_0 - 248452172/9023750179*c_1001_7^17 - 2410345985/18047500358*c_1001_7^16 - 1142396477/9023750179*c_1001_7^15 + 2956551739/9023750179*c_1001_7^14 + 4377328826/9023750179*c_1001_7^13 - 6511429427/9023750179*c_1001_7^12 - 14179024542/9023750179*c_1001_7^11 + 3096936653/9023750179*c_1001_7^10 + 22678213734/9023750179*c_1001_7^9 + 16488089207/18047500358*c_1001_7^8 - 20387269538/9023750179*c_1001_7^7 - 14368483336/9023750179*c_1001_7^6 + 11809434387/9023750179*c_1001_7^5 + 32031729669/18047500358*c_1001_7^4 + 841153071/9023750179*c_1001_7^3 - 5898749495/9023750179*c_1001_7^2 - 5726825538/9023750179*c_1001_7 + 11437769291/18047500358, c_0101_10 - 766917766/9023750179*c_1001_7^17 - 11109463245/18047500358*c_1001_7^16 - 12939955099/9023750179*c_1001_7^15 - 2324934714/9023750179*c_1001_7^14 + 31308099181/9023750179*c_1001_7^13 + 21564296280/9023750179*c_1001_7^12 - 65770658138/9023750179*c_1001_7^11 - 102874025204/9023750179*c_1001_7^10 + 19308659381/9023750179*c_1001_7^9 + 329611474855/18047500358*c_1001_7^8 + 124182809104/9023750179*c_1001_7^7 - 61295415375/9023750179*c_1001_7^6 - 157161422072/9023750179*c_1001_7^5 - 140616183857/18047500358*c_1001_7^4 + 74853216591/9023750179*c_1001_7^3 + 115176185830/9023750179*c_1001_7^2 + 60735039193/9023750179*c_1001_7 + 18233044959/18047500358, c_0101_3 - 325754435/18047500358*c_1001_7^17 - 1818568751/18047500358*c_1001_7^16 - 948299828/9023750179*c_1001_7^15 + 3157433422/9023750179*c_1001_7^14 + 5983525053/9023750179*c_1001_7^13 - 5649180868/9023750179*c_1001_7^12 - 17738976845/9023750179*c_1001_7^11 + 1094583149/9023750179*c_1001_7^10 + 63688782905/18047500358*c_1001_7^9 + 39310508159/18047500358*c_1001_7^8 - 28282143678/9023750179*c_1001_7^7 - 37873918899/9023750179*c_1001_7^6 + 1047673273/18047500358*c_1001_7^5 + 55280907413/18047500358*c_1001_7^4 + 21581657743/9023750179*c_1001_7^3 + 452629900/9023750179*c_1001_7^2 - 30723931343/18047500358*c_1001_7 - 17973324623/18047500358, c_0101_6 + 177700482/9023750179*c_1001_7^17 + 1108691576/9023750179*c_1001_7^16 + 2819754588/9023750179*c_1001_7^15 + 2878837801/9023750179*c_1001_7^14 - 2733415296/9023750179*c_1001_7^13 - 10059986198/9023750179*c_1001_7^12 + 1252869232/9023750179*c_1001_7^11 + 30196155072/9023750179*c_1001_7^10 + 26410474758/9023750179*c_1001_7^9 - 28748132925/9023750179*c_1001_7^8 - 68212132878/9023750179*c_1001_7^7 - 25379238677/9023750179*c_1001_7^6 + 55051921914/9023750179*c_1001_7^5 + 55238677738/9023750179*c_1001_7^4 - 8241596406/9023750179*c_1001_7^3 - 48339046556/9023750179*c_1001_7^2 - 31472949138/9023750179*c_1001_7 - 8854676156/9023750179, c_1001_1 - 1, c_1001_6 - 325754435/18047500358*c_1001_7^17 - 1818568751/18047500358*c_1001_7^16 - 948299828/9023750179*c_1001_7^15 + 3157433422/9023750179*c_1001_7^14 + 5983525053/9023750179*c_1001_7^13 - 5649180868/9023750179*c_1001_7^12 - 17738976845/9023750179*c_1001_7^11 + 1094583149/9023750179*c_1001_7^10 + 63688782905/18047500358*c_1001_7^9 + 39310508159/18047500358*c_1001_7^8 - 28282143678/9023750179*c_1001_7^7 - 37873918899/9023750179*c_1001_7^6 + 1047673273/18047500358*c_1001_7^5 + 55280907413/18047500358*c_1001_7^4 + 21581657743/9023750179*c_1001_7^3 - 8571120279/9023750179*c_1001_7^2 - 30723931343/18047500358*c_1001_7 - 17973324623/18047500358, c_1001_7^18 + 6*c_1001_7^17 + 11*c_1001_7^16 - 2*c_1001_7^15 - 26*c_1001_7^14 - 8*c_1001_7^13 + 58*c_1001_7^12 + 76*c_1001_7^11 - 21*c_1001_7^10 - 132*c_1001_7^9 - 99*c_1001_7^8 + 46*c_1001_7^7 + 131*c_1001_7^6 + 60*c_1001_7^5 - 61*c_1001_7^4 - 100*c_1001_7^3 - 55*c_1001_7^2 - 10*c_1001_7 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.080 Total time: 0.290 seconds, Total memory usage: 32.09MB