Magma V2.19-8 Wed Aug 21 2013 00:56:52 on localhost [Seed = 1511800963] Type ? for help. Type -D to quit. Loading file "L13n3051__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n3051 geometric_solution 11.93279336 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 2 0132 0132 0132 0213 0 1 1 1 0 -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 2 -1 -1 -7 0 8 -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 0.604249151697 0.545022294076 0 4 6 5 0132 0132 0132 0132 1 1 1 1 0 0 0 0 -1 0 0 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 0 0 7 0 0 -7 0 0 0 0 0 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.607063351634 0.321598093012 7 0 8 0 0132 0132 0132 0213 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 -1 0 0 1 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.604249151697 0.545022294076 9 8 8 0 0132 0132 0321 0132 0 1 1 1 0 1 0 -1 -1 0 0 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 -1 0 1 8 0 0 -8 0 0 0 0 0 -7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.408267229833 1.329935875695 10 1 11 9 0132 0132 0132 0321 1 1 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 0 0 0 0 1 -1 0 0 0 0 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.545483342115 0.427524530631 9 6 1 11 2103 3201 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 0 0 0 0 0 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.739317479340 1.198742203424 7 12 5 1 2310 0132 2310 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 0 0 0 0 -7 0 0 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.777404447176 0.710137170524 2 11 6 12 0132 0132 3201 2103 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 7 -8 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.964057035689 0.953007108222 10 3 3 2 2031 0132 0321 0132 0 1 1 1 0 -1 0 1 -1 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 1 0 -1 7 0 -7 0 -7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.408267229833 1.329935875695 3 4 5 12 0132 0321 2103 0132 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 1 0 -1 -8 0 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.748506093760 0.901525357827 4 11 8 12 0132 1023 1302 3120 1 1 1 1 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 7 -7 0 0 0 0 0 0 1 0 -1 -7 0 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.142510752988 1.853036735291 10 7 5 4 1023 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 -7 0 7 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 0.226674409761 1.238413369267 10 6 9 7 3120 0132 0132 2103 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 0 1 -1 0 0 -8 8 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.964317104846 0.699696026362 ==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_0101_11'], 'c_1001_12' : d['c_1001_1'], 'c_1001_5' : negation(d['c_0101_6']), 'c_1001_4' : negation(d['c_0101_6']), 'c_1001_7' : negation(d['c_0101_6']), 'c_1001_6' : negation(d['c_1001_11']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_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_0101_6']), 'c_1010_10' : negation(d['c_0011_12']), '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_0011_3'], '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' : negation(d['c_0101_11']), 'c_1100_8' : d['c_1001_2'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : d['c_0011_5'], 'c_1100_7' : d['c_0011_12'], 'c_1100_6' : d['c_0011_5'], 'c_1100_1' : d['c_0011_5'], 'c_1100_0' : d['c_1001_0'], 'c_1100_3' : d['c_1001_0'], 'c_1100_2' : d['c_1001_2'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_5'], 'c_1100_10' : negation(d['c_0101_12']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_11'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_11'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_6']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_1'], 'c_1010_8' : d['c_1001_2'], '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' : negation(d['c_0101_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' : 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_3']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_12']), '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' : negation(d['c_0011_12']), 'c_0110_10' : negation(d['c_0011_12']), 'c_0110_12' : negation(d['c_0011_12']), 'c_0101_12' : d['c_0101_12'], 'c_0011_11' : negation(d['c_0011_0']), 'c_0101_7' : negation(d['c_0101_1']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_12']), 'c_0101_3' : d['c_0101_12'], 'c_0101_2' : d['c_0101_11'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : negation(d['c_0101_12']), 'c_0011_10' : negation(d['c_0011_0']), '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_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0011_3'], 'c_0110_7' : d['c_0101_11'], 'c_0110_6' : d['c_0101_1']})} 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_12, c_0011_3, c_0011_5, c_0101_0, c_0101_1, c_0101_11, c_0101_12, c_0101_6, c_1001_0, c_1001_1, c_1001_11, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 604600892557618160/766430507486133*c_1001_2^13 - 863284313205374569/766430507486133*c_1001_2^12 + 556868319341200366/255476835828711*c_1001_2^11 + 152602679957437463/36496690832673*c_1001_2^10 + 4835773967353575626/766430507486133*c_1001_2^9 + 425958309477710054/255476835828711*c_1001_2^8 - 1009833493292000711/255476835828711*c_1001_2^7 - 5212362187947354761/766430507486133*c_1001_2^6 - 2472406936018793687/766430507486133*c_1001_2^5 + 12733197277422154/36496690832673*c_1001_2^4 + 139750160983354186/85158945276237*c_1001_2^3 + 20667200499312122/36496690832673*c_1001_2^2 - 10622249455287223/766430507486133*c_1001_2 - 88774975955911183/766430507486133, c_0011_0 - 1, c_0011_12 - 34588782155/5348843997*c_1001_2^13 + 100457290687/5348843997*c_1001_2^12 - 63613062616/1782947999*c_1001_2^11 - 9007922983/1782947999*c_1001_2^10 - 22877788658/5348843997*c_1001_2^9 + 43882981164/1782947999*c_1001_2^8 + 26361607942/1782947999*c_1001_2^7 - 35962248382/5348843997*c_1001_2^6 - 134038904257/5348843997*c_1001_2^5 + 5097391609/1782947999*c_1001_2^4 + 19655419407/1782947999*c_1001_2^3 + 9075612578/1782947999*c_1001_2^2 - 5502834320/5348843997*c_1001_2 + 1381482607/5348843997, c_0011_3 + 4514797160/5348843997*c_1001_2^13 - 33542783614/5348843997*c_1001_2^12 + 34006587927/1782947999*c_1001_2^11 - 54445956557/1782947999*c_1001_2^10 + 93416621885/5348843997*c_1001_2^9 - 11488333855/1782947999*c_1001_2^8 + 27631727056/1782947999*c_1001_2^7 - 15554440931/5348843997*c_1001_2^6 - 46533824720/5348843997*c_1001_2^5 - 21893403787/1782947999*c_1001_2^4 + 23161171154/1782947999*c_1001_2^3 + 3821489813/1782947999*c_1001_2^2 + 1099549499/5348843997*c_1001_2 - 21224279851/5348843997, c_0011_5 - 14589284830/5348843997*c_1001_2^13 + 36970830347/5348843997*c_1001_2^12 - 20902901323/1782947999*c_1001_2^11 - 17375800931/1782947999*c_1001_2^10 + 12253860317/5348843997*c_1001_2^9 + 8205501866/1782947999*c_1001_2^8 + 18457028236/1782947999*c_1001_2^7 - 13884012416/5348843997*c_1001_2^6 - 58797097637/5348843997*c_1001_2^5 + 163021583/1782947999*c_1001_2^4 + 8183349582/1782947999*c_1001_2^3 + 2862166483/1782947999*c_1001_2^2 + 1941881150/5348843997*c_1001_2 + 1145115323/5348843997, c_0101_0 + 14248499960/5348843997*c_1001_2^13 - 73240284214/5348843997*c_1001_2^12 + 58717981811/1782947999*c_1001_2^11 - 59976279582/1782947999*c_1001_2^10 + 16748672726/5348843997*c_1001_2^9 - 27261914551/1782947999*c_1001_2^8 + 34721886039/1782947999*c_1001_2^7 + 71095104376/5348843997*c_1001_2^6 + 21393534235/5348843997*c_1001_2^5 - 43359158697/1782947999*c_1001_2^4 + 4573173132/1782947999*c_1001_2^3 + 9839797609/1782947999*c_1001_2^2 + 31631793839/5348843997*c_1001_2 - 9170378032/5348843997, c_0101_1 - 39043884310/5348843997*c_1001_2^13 + 113460545609/5348843997*c_1001_2^12 - 71375079550/1782947999*c_1001_2^11 - 10565409046/1782947999*c_1001_2^10 - 24791743813/5348843997*c_1001_2^9 + 54669785983/1782947999*c_1001_2^8 + 31297568104/1782947999*c_1001_2^7 - 38450165597/5348843997*c_1001_2^6 - 161424176003/5348843997*c_1001_2^5 + 7422873124/1782947999*c_1001_2^4 + 21238597577/1782947999*c_1001_2^3 + 14343531269/1782947999*c_1001_2^2 - 9170378032/5348843997*c_1001_2 + 2499144005/5348843997, c_0101_11 - 19755223265/5348843997*c_1001_2^13 + 42332147686/5348843997*c_1001_2^12 - 20669698402/1782947999*c_1001_2^11 - 35985820947/1782947999*c_1001_2^10 - 7833820709/5348843997*c_1001_2^9 + 23363869930/1782947999*c_1001_2^8 + 33640126831/1782947999*c_1001_2^7 - 2560138099/5348843997*c_1001_2^6 - 108165164854/5348843997*c_1001_2^5 - 13429820715/1782947999*c_1001_2^4 + 16891576179/1782947999*c_1001_2^3 + 13468495160/1782947999*c_1001_2^2 + 2849699992/5348843997*c_1001_2 - 7808776862/5348843997, c_0101_12 - 34529087150/5348843997*c_1001_2^13 + 79917761995/5348843997*c_1001_2^12 - 37368491623/1782947999*c_1001_2^11 - 65011365603/1782947999*c_1001_2^10 + 68624878072/5348843997*c_1001_2^9 + 43181452128/1782947999*c_1001_2^8 + 58929295160/1782947999*c_1001_2^7 - 54004606528/5348843997*c_1001_2^6 - 207958000723/5348843997*c_1001_2^5 - 14470530663/1782947999*c_1001_2^4 + 44399768731/1782947999*c_1001_2^3 + 18165021082/1782947999*c_1001_2^2 - 8070828533/5348843997*c_1001_2 - 24073979843/5348843997, c_0101_6 + 52378354810/5348843997*c_1001_2^13 - 138987401309/5348843997*c_1001_2^12 + 81619628770/1782947999*c_1001_2^11 + 42139537708/1782947999*c_1001_2^10 + 25064592607/5348843997*c_1001_2^9 - 73455083796/1782947999*c_1001_2^8 - 58990215698/1782947999*c_1001_2^7 + 50997297293/5348843997*c_1001_2^6 + 240713164220/5348843997*c_1001_2^5 + 8977282294/1782947999*c_1001_2^4 - 42026530444/1782947999*c_1001_2^3 - 24963654469/1782947999*c_1001_2^2 + 9656816608/5348843997*c_1001_2 + 14087832511/5348843997, c_1001_0 - 1, c_1001_1 + 5725576615/5348843997*c_1001_2^13 + 847900954/5348843997*c_1001_2^12 - 3926097747/1782947999*c_1001_2^11 + 25483362615/1782947999*c_1001_2^10 + 71594363284/5348843997*c_1001_2^9 - 11718722259/1782947999*c_1001_2^8 - 16221309127/1782947999*c_1001_2^7 - 64532007292/5348843997*c_1001_2^6 + 37931434199/5348843997*c_1001_2^5 + 23797788730/1782947999*c_1001_2^4 - 1308136906/1782947999*c_1001_2^3 - 12763810874/1782947999*c_1001_2^2 - 13166960741/5348843997*c_1001_2 - 1941881150/5348843997, c_1001_11 + 8458770470/5348843997*c_1001_2^13 - 8914372063/5348843997*c_1001_2^12 - 660187526/1782947999*c_1001_2^11 + 33954175735/1782947999*c_1001_2^10 - 342859801/5348843997*c_1001_2^9 - 6690528529/1782947999*c_1001_2^8 - 31944964214/1782947999*c_1001_2^7 - 5599131584/5348843997*c_1001_2^6 + 54219230878/5348843997*c_1001_2^5 + 19295028111/1782947999*c_1001_2^4 - 12006500673/1782947999*c_1001_2^3 - 11410260018/1782947999*c_1001_2^2 - 5058669991/5348843997*c_1001_2 + 10073337464/5348843997, c_1001_2^14 - 12/5*c_1001_2^13 + 22/5*c_1001_2^12 + 12/5*c_1001_2^11 + 17/5*c_1001_2^10 - 4*c_1001_2^9 - 21/5*c_1001_2^8 - 8/5*c_1001_2^7 + 21/5*c_1001_2^6 + 11/5*c_1001_2^5 - 3/5*c_1001_2^4 - 12/5*c_1001_2^3 - 4/5*c_1001_2^2 + 1/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.350 Total time: 0.550 seconds, Total memory usage: 32.09MB