Magma V2.19-8 Wed Aug 21 2013 01:05:36 on localhost [Seed = 1730248665] Type ? for help. Type -D to quit. Loading file "L14n26528__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n26528 geometric_solution 11.05906806 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 2 0132 0132 0132 1230 1 1 0 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 0 0 0 0 1 -1 0 0 0 0 -1 3 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.855658884532 0.661545429002 0 4 4 5 0132 0132 1302 0132 1 1 1 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 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.268539133838 0.565522781626 0 0 4 6 3012 0132 0132 0132 1 1 1 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 1 0 -1 0 0 0 0 0 2 -3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.314827583630 1.442920461015 7 8 5 0 0132 0132 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.538413635126 1.103645583196 1 1 9 2 2031 0132 0132 0132 1 1 0 1 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 -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 0.314827583630 1.442920461015 7 3 1 10 2103 3201 0132 0132 1 1 1 1 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.322540564333 0.771189307822 9 8 2 7 1023 0213 0132 0213 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.642943505141 0.731897927158 3 9 5 6 0132 0213 2103 0213 1 1 1 1 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 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 1.612558216663 1.977298597806 11 3 6 10 0132 0132 0213 3120 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.092191144012 0.240072366923 12 6 7 4 0132 1023 0213 0132 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 0 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 0.642943505141 0.731897927158 8 11 5 12 3120 0321 0132 1302 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 0 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 1.374115158104 0.915971092414 8 12 12 10 0132 0321 2310 0321 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 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 0 0 0 0 0 1.843079642262 0.730179694253 9 11 10 11 0132 3201 2031 0321 1 1 1 1 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 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 0.791218129790 0.401195407126 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : d['c_0011_10'], 'c_1001_12' : negation(d['c_0101_11']), 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_7' : d['c_0011_5'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_10']), 'c_1001_2' : d['c_0101_2'], 'c_1001_9' : d['c_0011_5'], 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : negation(d['c_1001_11']), 'c_1010_11' : negation(d['c_1001_11']), 'c_1010_10' : negation(d['c_1001_11']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], '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' : negation(d['1']), 's_2_7' : 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' : negation(d['1']), 's_0_7' : d['1'], 's_0_4' : negation(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_0101_12'], 'c_1100_4' : d['c_1010_7'], 'c_1100_7' : negation(d['c_0101_10']), 'c_1100_6' : d['c_1010_7'], 'c_1100_1' : d['c_0101_12'], 'c_1100_0' : d['c_0011_5'], 'c_1100_3' : d['c_0011_5'], 'c_1100_2' : d['c_1010_7'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_10'], 'c_1100_10' : d['c_0101_12'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1010_7'], 'c_1010_6' : negation(d['c_0101_10']), 'c_1010_5' : d['c_0011_10'], 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_3']), 'c_1010_0' : d['c_0101_2'], 'c_1010_9' : negation(d['c_0101_3']), 'c_1010_8' : negation(d['c_0011_10']), 'c_1100_8' : negation(d['c_0101_10']), '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' : d['1'], 's_3_9' : negation(d['1']), 's_3_8' : d['1'], 'c_1100_12' : d['c_1001_11'], '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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_10']), 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : negation(d['c_0011_10']), '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' : negation(d['c_0011_10']), 'c_0110_10' : d['c_0101_11'], 'c_0110_12' : negation(d['c_0011_11']), 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0011_5'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_12'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], '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' : negation(d['c_0011_10']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_12'], 'c_0110_8' : d['c_0101_11'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1010_7'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_5'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0101_2'], 'c_0110_7' : d['c_0101_3'], 'c_0110_6' : negation(d['c_0101_3'])})} 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_11, c_0101_12, c_0101_2, c_0101_3, c_1001_0, c_1001_11, c_1010_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 32266149792618229021/23247566520655698*c_1001_11^9 + 72248657748097196761/15498377680437132*c_1001_11^8 - 66125155303152353201/14306194781941968*c_1001_11^7 + 14489206157535179153/61993510721748528*c_1001_11^6 - 45142233540260465849/371961064330491168*c_1001_11^5 - 349673190761702181055/247974042886994112*c_1001_11^4 - 1681695821217411652621/2975688514643929344*c_1001_11^3 - 407268154784768750917/743922128660982336*c_1001_11^2 - 436545901420022475791/3967584686191905792*c_1001_11 - 140919297967483317497/2975688514643929344, c_0011_0 - 1, c_0011_10 + 38977444608/1710517637*c_1001_11^9 - 103913263744/1710517637*c_1001_11^8 + 32361757280/1710517637*c_1001_11^7 + 110036967008/1710517637*c_1001_11^6 - 39456865872/1710517637*c_1001_11^5 + 65603481032/1710517637*c_1001_11^4 + 28303470138/1710517637*c_1001_11^3 + 29683457296/1710517637*c_1001_11^2 + 17190604733/3421035274*c_1001_11 + 3203455160/1710517637, c_0011_11 - 58487976960/1710517637*c_1001_11^9 + 208491486720/1710517637*c_1001_11^8 - 251153685632/1710517637*c_1001_11^7 + 112943336192/1710517637*c_1001_11^6 - 96469379872/1710517637*c_1001_11^5 - 5429424256/1710517637*c_1001_11^4 - 44473260604/1710517637*c_1001_11^3 - 10588383916/1710517637*c_1001_11^2 - 10001125998/1710517637*c_1001_11 - 512692320/1710517637, c_0011_5 + 77037203456/1710517637*c_1001_11^9 - 258793380352/1710517637*c_1001_11^8 + 270089286144/1710517637*c_1001_11^7 - 67302739264/1710517637*c_1001_11^6 + 87039230336/1710517637*c_1001_11^5 + 26586193568/1710517637*c_1001_11^4 + 60368531860/1710517637*c_1001_11^3 + 28118990776/1710517637*c_1001_11^2 + 11711481672/1710517637*c_1001_11 + 2089792267/1710517637, c_0101_0 - 1, c_0101_10 + 58487976960/1710517637*c_1001_11^9 - 208491486720/1710517637*c_1001_11^8 + 251153685632/1710517637*c_1001_11^7 - 112943336192/1710517637*c_1001_11^6 + 96469379872/1710517637*c_1001_11^5 + 5429424256/1710517637*c_1001_11^4 + 44473260604/1710517637*c_1001_11^3 + 10588383916/1710517637*c_1001_11^2 + 10001125998/1710517637*c_1001_11 + 512692320/1710517637, c_0101_11 - 48777714432/1710517637*c_1001_11^9 + 118513691264/1710517637*c_1001_11^8 - 607529696/1710517637*c_1001_11^7 - 177990118432/1710517637*c_1001_11^6 + 48692976608/1710517637*c_1001_11^5 - 79022369432/1710517637*c_1001_11^4 - 43873182070/1710517637*c_1001_11^3 - 40853204404/1710517637*c_1001_11^2 - 26796681937/3421035274*c_1001_11 - 4460420472/1710517637, c_0101_12 + 97227329792/1710517637*c_1001_11^9 - 255929417600/1710517637*c_1001_11^8 + 84618860064/1710517637*c_1001_11^7 + 223465630112/1710517637*c_1001_11^6 - 5716259344/1710517637*c_1001_11^5 + 107503842872/1710517637*c_1001_11^4 + 99830055606/1710517637*c_1001_11^3 + 73067739412/1710517637*c_1001_11^2 + 53509793801/3421035274*c_1001_11 + 7634509880/1710517637, c_0101_2 + 1433856/121477*c_1001_11^9 + 203392/121477*c_1001_11^8 - 13171680/121477*c_1001_11^7 + 20649696/121477*c_1001_11^6 - 6587280/121477*c_1001_11^5 + 5746584/121477*c_1001_11^4 + 2802466/121477*c_1001_11^3 + 3192156/121477*c_1001_11^2 + 2136697/242954*c_1001_11 + 393773/121477, c_0101_3 + 77037203456/1710517637*c_1001_11^9 - 258793380352/1710517637*c_1001_11^8 + 270089286144/1710517637*c_1001_11^7 - 67302739264/1710517637*c_1001_11^6 + 87039230336/1710517637*c_1001_11^5 + 26586193568/1710517637*c_1001_11^4 + 60368531860/1710517637*c_1001_11^3 + 28118990776/1710517637*c_1001_11^2 + 11711481672/1710517637*c_1001_11 + 2089792267/1710517637, c_1001_0 - 97227329792/1710517637*c_1001_11^9 + 255929417600/1710517637*c_1001_11^8 - 84618860064/1710517637*c_1001_11^7 - 223465630112/1710517637*c_1001_11^6 + 5716259344/1710517637*c_1001_11^5 - 107503842872/1710517637*c_1001_11^4 - 99830055606/1710517637*c_1001_11^3 - 73067739412/1710517637*c_1001_11^2 - 53509793801/3421035274*c_1001_11 - 7634509880/1710517637, c_1001_11^10 - 7/2*c_1001_11^9 + 33/8*c_1001_11^8 - 15/8*c_1001_11^7 + 29/16*c_1001_11^6 + 1/32*c_1001_11^5 + 113/128*c_1001_11^4 + 9/32*c_1001_11^3 + 113/512*c_1001_11^2 + 5/128*c_1001_11 + 1/64, c_1010_7 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.490 Total time: 0.700 seconds, Total memory usage: 32.09MB