Magma V2.19-8 Wed Aug 21 2013 01:01:56 on localhost [Seed = 3120538129] Type ? for help. Type -D to quit. Loading file "L14n13520__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n13520 geometric_solution 12.07039665 oriented_manifold CS_known -0.0000000000000002 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 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 -1 0 1 9 -8 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.089626258509 0.884364293142 0 5 6 2 0132 0132 0132 1023 1 1 1 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 -1 1 -9 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.924332915507 0.990199836201 6 0 7 1 0132 0132 0132 1023 1 1 1 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 -1 1 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 -8 8 0 0 1 1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.339699491615 0.494213836037 8 8 7 0 0132 1230 0321 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 0 0 0 0 0 0 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.863464627690 0.946482484153 5 9 0 10 0132 0132 0132 0132 1 1 1 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 -1 1 0 0 0 0 -1 0 0 1 2 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.392152767839 0.526677787698 4 1 11 7 0132 0132 0132 3120 1 1 0 1 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 -2 0 0 2 1 -9 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.917719453099 0.935657631962 2 9 11 1 0132 1023 3012 0132 1 1 0 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 -1 0 0 1 -1 1 0 0 8 0 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.045995326276 0.650442264279 5 9 3 2 3120 0321 0321 0132 1 1 0 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 0 0 -1 1 -2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.135454421887 1.226563392825 3 10 3 11 0132 3120 3012 3012 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.473946330585 0.576631129822 6 4 10 7 1023 0132 0132 0321 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 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 0.962292292054 0.883644127606 12 8 4 9 0132 3120 0132 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 1 -1 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 -0.011618997647 0.841642699497 12 6 8 5 2031 1230 1230 0132 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 8 0 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.110191005587 1.041254127072 10 12 11 12 0132 1302 1302 2031 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 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 0.711453181548 0.936372059716 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_1'], 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : d['c_0011_3'], 'c_1001_12' : d['c_0101_10'], 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : negation(d['c_0011_11']), 'c_1001_1' : negation(d['c_0011_7']), 'c_1001_0' : d['c_0101_0'], 'c_1001_3' : d['c_1001_11'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0011_3'], 'c_1001_8' : negation(d['c_0011_3']), 'c_1010_12' : negation(d['c_0011_10']), 'c_1010_11' : d['c_0101_6'], 'c_1010_10' : d['c_0011_3'], 's_0_10' : d['1'], 's_0_11' : 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_0011_10'], 'c_0101_10' : d['c_0101_10'], '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_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' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_1001_7'], 'c_1100_8' : negation(d['c_1001_11']), 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : d['c_0101_3'], 'c_1100_4' : d['c_1001_7'], 'c_1100_7' : d['c_1001_11'], 'c_1100_6' : negation(d['c_1001_11']), 'c_1100_1' : negation(d['c_1001_11']), 'c_1100_0' : d['c_1001_7'], 'c_1100_3' : d['c_1001_7'], 'c_1100_2' : d['c_1001_11'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_3'], 'c_1100_10' : d['c_1001_7'], 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : negation(d['c_0011_7']), 'c_1010_5' : negation(d['c_0011_7']), 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0101_6'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : negation(d['c_0011_10']), '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'], 'c_1100_12' : d['c_0011_10'], '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' : d['c_0011_0'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : d['c_0011_7'], '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_10'], 'c_0110_10' : negation(d['c_0011_11']), 'c_0110_12' : d['c_0101_10'], 'c_0101_12' : negation(d['c_0011_11']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0101_3']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_10'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_11']), 'c_0101_8' : d['c_0101_0'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_7']), 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_1'], 'c_0011_10' : d['c_0011_10']})} 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_3, c_0011_7, c_0101_0, c_0101_1, c_0101_10, c_0101_3, c_0101_6, c_1001_11, c_1001_2, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 19 Groebner basis: [ t + 265773031534815480449437228909/156426166158335266616050797*c_1001_7\ ^18 - 246674286960679777176364672903/52142055386111755538683599*c_1\ 001_7^17 + 1072080763416345454151673841793/156426166158335266616050\ 797*c_1001_7^16 - 726651426449451114416579846939/156426166158335266\ 616050797*c_1001_7^15 + 5184017437559949945073358298557/15642616615\ 8335266616050797*c_1001_7^14 - 4326834527948232282683226371449/5214\ 2055386111755538683599*c_1001_7^13 + 17898235771953247574598752894966/156426166158335266616050797*c_1001\ _7^12 - 12027972580506612588911448588293/15642616615833526661605079\ 7*c_1001_7^11 + 32902217590192905577020846438872/156426166158335266\ 616050797*c_1001_7^10 - 68380683823331809326331383580/1575288682359\ 87176854029*c_1001_7^9 + 82713089547949483665808572887770/156426166\ 158335266616050797*c_1001_7^8 - 14873562997424847329892322666/45066\ 599296552943421507*c_1001_7^7 + 66055808435986984400695820731826/15\ 6426166158335266616050797*c_1001_7^6 - 2125896473611691011191898888480/3637817817635703874791879*c_1001_7^\ 5 + 5027558505080391340455057185075/12032782012179635893542369*c_10\ 01_7^4 - 572397189734704967031417896996/5793561709567972837631511*c\ _1001_7^3 - 910483164642097917457931339152/120327820121796358935423\ 69*c_1001_7^2 + 483991672605537387914510170312/15642616615833526661\ 6050797*c_1001_7 + 96404191675840483182782675710/156426166158335266\ 616050797, c_0011_0 - 1, c_0011_10 + 650495126/335807253*c_1001_7^18 - 158850999/37311917*c_1001_7^17 + 1650149608/335807253*c_1001_7^16 - 417344221/335807253*c_1001_7^15 + 11809913038/335807253*c_1001_7^14 - 2724017039/37311917*c_1001_7^13 + 26800369822/335807253*c_1001_7^12 - 6788624137/335807253*c_1001_7^11 + 66078868927/335807253*c_1001_7^10 - 13562419072/37311917*c_1001_7^9 + 114392360573/335807253*c_1001_7^8 - 2534983396/37311917*c_1001_7^7 + 100870281967/335807253*c_1001_7^6 - 3304088345/7809471*c_1001_7^5 + 45320854783/335807253*c_1001_7^4 + 12705658535/111935751*c_1001_7^3 - 40389598400/335807253*c_1001_7^2 - 18992841706/335807253*c_1001_7 + 1237233617/335807253, c_0011_11 - 201488566/335807253*c_1001_7^18 + 58903724/37311917*c_1001_7^17 - 654176546/335807253*c_1001_7^16 + 270492923/335807253*c_1001_7^15 - 3710059826/335807253*c_1001_7^14 + 1014086490/37311917*c_1001_7^13 - 10714369286/335807253*c_1001_7^12 + 4404312302/335807253*c_1001_7^11 - 21289040918/335807253*c_1001_7^10 + 5096680570/37311917*c_1001_7^9 - 47125213630/335807253*c_1001_7^8 + 1861611830/37311917*c_1001_7^7 - 33902062622/335807253*c_1001_7^6 + 1271664400/7809471*c_1001_7^5 - 26712651680/335807253*c_1001_7^4 - 3080486188/111935751*c_1001_7^3 + 16978122136/335807253*c_1001_7^2 + 2564469254/335807253*c_1001_7 - 2397671800/335807253, c_0011_3 + 199192367/335807253*c_1001_7^18 - 56510741/37311917*c_1001_7^17 + 653182267/335807253*c_1001_7^16 - 266912677/335807253*c_1001_7^15 + 3651772309/335807253*c_1001_7^14 - 976135624/37311917*c_1001_7^13 + 10725120091/335807253*c_1001_7^12 - 4343506666/335807253*c_1001_7^11 + 20840127376/335807253*c_1001_7^10 - 4936574911/37311917*c_1001_7^9 + 47350090106/335807253*c_1001_7^8 - 1841932487/37311917*c_1001_7^7 + 32987616232/335807253*c_1001_7^6 - 1255609613/7809471*c_1001_7^5 + 27288391252/335807253*c_1001_7^4 + 2870021801/111935751*c_1001_7^3 - 16217384126/335807253*c_1001_7^2 - 2556762463/335807253*c_1001_7 + 2400328835/335807253, c_0011_7 + 335124022/111935751*c_1001_7^18 - 233463650/37311917*c_1001_7^17 + 749345351/111935751*c_1001_7^16 - 103255046/111935751*c_1001_7^15 + 6074014046/111935751*c_1001_7^14 - 3982558320/37311917*c_1001_7^13 + 12091648595/111935751*c_1001_7^12 - 1695075662/111935751*c_1001_7^11 + 33858440510/111935751*c_1001_7^10 - 19601069218/37311917*c_1001_7^9 + 50497425607/111935751*c_1001_7^8 - 1380625668/37311917*c_1001_7^7 + 51538974764/111935751*c_1001_7^6 - 1536683932/2603157*c_1001_7^5 + 13839495842/111935751*c_1001_7^4 + 7460853568/37311917*c_1001_7^3 - 17719596112/111935751*c_1001_7^2 - 12531980492/111935751*c_1001_7 - 968347919/111935751, c_0101_0 - 1, c_0101_1 - 1059149516/335807253*c_1001_7^18 + 247451409/37311917*c_1001_7^17 - 2389603780/335807253*c_1001_7^16 + 343417129/335807253*c_1001_7^15 - 19206259015/335807253*c_1001_7^14 + 4222497913/37311917*c_1001_7^13 - 38574965455/335807253*c_1001_7^12 + 5639893105/335807253*c_1001_7^11 - 107155821754/335807253*c_1001_7^10 + 20793454114/37311917*c_1001_7^9 - 161324703038/335807253*c_1001_7^8 + 1586582586/37311917*c_1001_7^7 - 163380619063/335807253*c_1001_7^6 + 4895309696/7809471*c_1001_7^5 - 45505071145/335807253*c_1001_7^4 - 23575217732/111935751*c_1001_7^3 + 56612834585/335807253*c_1001_7^2 + 39090145588/335807253*c_1001_7 + 2796280108/335807253, c_0101_10 + 78620743/111935751*c_1001_7^18 - 64069147/37311917*c_1001_7^17 + 240162083/111935751*c_1001_7^16 - 99786077/111935751*c_1001_7^15 + 1437939461/111935751*c_1001_7^14 - 1104833684/37311917*c_1001_7^13 + 3944817443/111935751*c_1001_7^12 - 1618857338/111935751*c_1001_7^11 + 8149647368/111935751*c_1001_7^10 - 5567987737/37311917*c_1001_7^9 + 17377621210/111935751*c_1001_7^8 - 2044640725/37311917*c_1001_7^7 + 12648267944/111935751*c_1001_7^6 - 467003893/2603157*c_1001_7^5 + 9690882779/111935751*c_1001_7^4 + 1138663089/37311917*c_1001_7^3 - 6246853636/111935751*c_1001_7^2 - 1068169787/111935751*c_1001_7 + 835961245/111935751, c_0101_3 + 3349266416/335807253*c_1001_7^18 - 774679465/37311917*c_1001_7^17 + 7431945442/335807253*c_1001_7^16 - 930289693/335807253*c_1001_7^15 + 60666410584/335807253*c_1001_7^14 - 13212718841/37311917*c_1001_7^13 + 119827202125/335807253*c_1001_7^12 - 15244930153/335807253*c_1001_7^11 + 337768641808/335807253*c_1001_7^10 - 64997857624/37311917*c_1001_7^9 + 499227309734/335807253*c_1001_7^8 - 3746723820/37311917*c_1001_7^7 + 512667818791/335807253*c_1001_7^6 - 15261499250/7809471*c_1001_7^5 + 130576221907/335807253*c_1001_7^4 + 76335536867/111935751*c_1001_7^3 - 176432118851/335807253*c_1001_7^2 - 127354653481/335807253*c_1001_7 - 10040025352/335807253, c_0101_6 + 108763649/335807253*c_1001_7^18 - 30144972/37311917*c_1001_7^17 + 343417129/335807253*c_1001_7^16 - 141567727/335807253*c_1001_7^15 + 1991397673/335807253*c_1001_7^14 - 520242327/37311917*c_1001_7^13 + 5639893105/335807253*c_1001_7^12 - 2300019670/335807253*c_1001_7^11 + 11322267370/335807253*c_1001_7^10 - 2626140662/37311917*c_1001_7^9 + 24870738434/335807253*c_1001_7^8 - 971643303/37311917*c_1001_7^7 + 17733105016/335807253*c_1001_7^6 - 664155323/7809471*c_1001_7^5 + 14006308084/335807253*c_1001_7^4 + 1571502767/111935751*c_1001_7^3 - 8907389885/335807253*c_1001_7^2 - 1440317956/335807253*c_1001_7 + 1059149516/335807253, c_1001_11 + 3459478351/335807253*c_1001_7^18 - 802990302/37311917*c_1001_7^17 + 7698858119/335807253*c_1001_7^16 - 996599396/335807253*c_1001_7^15 + 62679090722/335807253*c_1001_7^14 - 13696159324/37311917*c_1001_7^13 + 124170708791/335807253*c_1001_7^12 - 16365013196/335807253*c_1001_7^11 + 349131883085/335807253*c_1001_7^10 - 67381755668/37311917*c_1001_7^9 + 517796625787/335807253*c_1001_7^8 - 4180671670/37311917*c_1001_7^7 + 530406021356/335807253*c_1001_7^6 - 15821994910/7809471*c_1001_7^5 + 137901545864/335807253*c_1001_7^4 + 78487856248/111935751*c_1001_7^3 - 182839012903/335807253*c_1001_7^2 - 130551751784/335807253*c_1001_7 - 9840832985/335807253, c_1001_2 - 1059149516/335807253*c_1001_7^18 + 247451409/37311917*c_1001_7^17 - 2389603780/335807253*c_1001_7^16 + 343417129/335807253*c_1001_7^15 - 19206259015/335807253*c_1001_7^14 + 4222497913/37311917*c_1001_7^13 - 38574965455/335807253*c_1001_7^12 + 5639893105/335807253*c_1001_7^11 - 107155821754/335807253*c_1001_7^10 + 20793454114/37311917*c_1001_7^9 - 161324703038/335807253*c_1001_7^8 + 1586582586/37311917*c_1001_7^7 - 163380619063/335807253*c_1001_7^6 + 4895309696/7809471*c_1001_7^5 - 45505071145/335807253*c_1001_7^4 - 23575217732/111935751*c_1001_7^3 + 56612834585/335807253*c_1001_7^2 + 38754338335/335807253*c_1001_7 + 2796280108/335807253, c_1001_7^19 - 2*c_1001_7^18 + 2*c_1001_7^17 + 18*c_1001_7^15 - 34*c_1001_7^14 + 32*c_1001_7^13 + 99*c_1001_7^11 - 166*c_1001_7^10 + 130*c_1001_7^9 + 10*c_1001_7^8 + 146*c_1001_7^7 - 182*c_1001_7^6 + 16*c_1001_7^5 + 80*c_1001_7^4 - 49*c_1001_7^3 - 45*c_1001_7^2 - 4*c_1001_7 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.130 Total time: 0.330 seconds, Total memory usage: 32.09MB