Magma V2.19-8 Wed Aug 21 2013 01:09:40 on localhost [Seed = 2446821386] Type ? for help. Type -D to quit. Loading file "L14n475__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n475 geometric_solution 11.73921378 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 1 0132 0132 0132 3201 1 1 1 1 0 -1 0 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 -3 1 2 0 0 0 0 -2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.796098189342 0.634963249330 0 0 4 4 0132 2310 2310 0132 1 1 1 1 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 -2 2 0 0 0 0 0 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.178413086142 0.438661030489 5 0 7 6 0132 0132 0132 0132 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 3 -3 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 0.544498179203 0.559234816041 8 9 10 0 0132 0132 0132 0132 1 1 1 1 0 0 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 0 0 0 0 0 1 0 -1 3 0 -3 0 -2 2 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.544498179203 0.559234816041 8 1 1 7 2103 3201 0132 0321 1 1 1 1 0 0 0 0 -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 0 0 0 0 0 0 0 -3 0 0 3 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.022798822370 0.371972088158 2 10 10 6 0132 3201 3012 2103 0 1 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 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 0.088996358407 1.118469632083 9 9 2 5 3012 0213 0132 2103 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 -1 0 1 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 0.553119949476 0.458974689710 11 4 11 2 0132 0321 3120 0132 1 1 1 1 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 -3 3 0 0 1 -1 0 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.374053550197 1.252595691287 3 12 4 12 0132 0132 2103 1230 1 1 1 1 0 1 -1 0 -1 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 2 -2 0 -3 0 3 0 1 -1 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.374053550197 1.252595691287 10 3 6 6 0321 0132 0213 1230 1 0 1 1 0 0 0 0 -1 0 0 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 -1 0 1 1 0 0 -1 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.553119949476 0.458974689710 9 5 5 3 0321 1230 2310 0132 1 1 1 0 0 0 0 0 -1 0 0 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 -2 0 -1 3 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.088996358407 1.118469632083 7 12 7 12 0132 0321 3120 1302 1 1 1 1 0 0 -1 1 0 0 0 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 0 -3 3 0 0 -1 1 0 2 0 -2 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.374053550197 1.252595691287 8 8 11 11 3012 0132 2031 0321 1 1 1 1 0 -1 1 0 0 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 -2 2 0 0 0 -3 3 0 2 0 -2 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.319229333928 0.638817087845 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_4']), 'c_1001_10' : d['c_0110_6'], 'c_1001_12' : d['c_0101_12'], 'c_1001_5' : negation(d['c_0011_10']), 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_7' : d['c_0011_4'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : negation(d['c_1001_1']), 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_0011_4'], 'c_1010_12' : d['c_0011_4'], 'c_1010_11' : d['c_0011_4'], 'c_1010_10' : d['c_0101_5'], 's_3_11' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : d['c_0101_12'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_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_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' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_0110_6'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0110_6']), 'c_1100_4' : d['c_0011_4'], 'c_1100_7' : negation(d['c_0101_11']), 'c_1100_6' : negation(d['c_0101_11']), 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0101_11']), 's_0_10' : d['1'], 'c_1100_11' : d['c_0101_12'], 'c_1100_10' : d['c_0011_0'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_1001_1']), 'c_1010_6' : d['c_0110_6'], 'c_1010_5' : negation(d['c_0110_6']), 'c_1010_4' : negation(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_1']), 'c_1010_0' : negation(d['c_1001_1']), 'c_1010_9' : d['c_0101_5'], 'c_1010_8' : d['c_0101_12'], 'c_1100_8' : negation(d['c_0011_11']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : negation(d['1']), 's_3_9' : negation(d['1']), 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0011_4']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(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_12']), 'c_0011_8' : negation(d['c_0011_12']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], '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_12'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0101_12']), 'c_0110_10' : d['c_0011_12'], 'c_0110_12' : negation(d['c_0011_11']), 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : negation(d['c_0101_12']), 'c_0101_6' : d['c_0101_5'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0011_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' : negation(d['c_0011_10']), '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_10']), 'c_0110_8' : d['c_0011_12'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0011_11'], 'c_0110_7' : d['c_0101_11'], 'c_0110_6' : d['c_0110_6'], 's_2_9' : d['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_10, c_0011_11, c_0011_12, c_0011_4, c_0101_0, c_0101_1, c_0101_11, c_0101_12, c_0101_5, c_0110_6, c_1001_0, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 46489767499957589438/18495130605211431*c_1001_1^7 + 13982189894160701779/2055014511690159*c_1001_1^6 - 12632636406019048904/2055014511690159*c_1001_1^5 + 2820141033212829554/6165043535070477*c_1001_1^4 + 51603238595377835435/36990261210422862*c_1001_1^3 + 10536525187398035087/18495130605211431*c_1001_1^2 - 1256586608644146478/2055014511690159*c_1001_1 - 249071059497692897/18495130605211431, c_0011_0 - 1, c_0011_10 + 1, c_0011_11 + 50778134228/1020894847*c_1001_1^7 - 137395951757/1020894847*c_1001_1^6 + 133905322760/1020894847*c_1001_1^5 - 30852342107/1020894847*c_1001_1^4 - 14393275408/1020894847*c_1001_1^3 - 8138653990/1020894847*c_1001_1^2 + 1503325072/145842121*c_1001_1 - 2854891559/1020894847, c_0011_12 + 7938589822/1020894847*c_1001_1^7 - 892328034/1020894847*c_1001_1^6 - 28251514518/1020894847*c_1001_1^5 + 34489263560/1020894847*c_1001_1^4 - 2487134590/1020894847*c_1001_1^3 - 8557483544/1020894847*c_1001_1^2 - 353365812/145842121*c_1001_1 + 2269024563/1020894847, c_0011_4 + 45778345944/1020894847*c_1001_1^7 - 152434813688/1020894847*c_1001_1^6 + 189857068216/1020894847*c_1001_1^5 - 78693872079/1020894847*c_1001_1^4 - 19700691104/1020894847*c_1001_1^3 + 5331843901/1020894847*c_1001_1^2 + 2443814144/145842121*c_1001_1 - 5804354863/1020894847, c_0101_0 + c_1001_1, c_0101_1 - 41378455060/1020894847*c_1001_1^7 + 141139668156/1020894847*c_1001_1^6 - 179102689804/1020894847*c_1001_1^5 + 78991661696/1020894847*c_1001_1^4 + 15943615188/1020894847*c_1001_1^3 - 6013012545/1020894847*c_1001_1^2 - 2271473580/145842121*c_1001_1 + 6414600361/1020894847, c_0101_11 - 7938589822/1020894847*c_1001_1^7 + 892328034/1020894847*c_1001_1^6 + 28251514518/1020894847*c_1001_1^5 - 34489263560/1020894847*c_1001_1^4 + 2487134590/1020894847*c_1001_1^3 + 8557483544/1020894847*c_1001_1^2 + 353365812/145842121*c_1001_1 - 2269024563/1020894847, c_0101_12 + 78508138538/1020894847*c_1001_1^7 - 243677456630/1020894847*c_1001_1^6 + 278709710413/1020894847*c_1001_1^5 - 96904769886/1020894847*c_1001_1^4 - 32005856196/1020894847*c_1001_1^3 - 1712246888/1020894847*c_1001_1^2 + 3572048781/145842121*c_1001_1 - 7147918174/1020894847, c_0101_5 + 7938589822/1020894847*c_1001_1^7 - 892328034/1020894847*c_1001_1^6 - 28251514518/1020894847*c_1001_1^5 + 34489263560/1020894847*c_1001_1^4 - 2487134590/1020894847*c_1001_1^3 - 8557483544/1020894847*c_1001_1^2 - 353365812/145842121*c_1001_1 + 1248129716/1020894847, c_0110_6 + 1, c_1001_0 - 15877179644/1020894847*c_1001_1^7 + 1784656068/1020894847*c_1001_1^6 + 56503029036/1020894847*c_1001_1^5 - 68978527120/1020894847*c_1001_1^4 + 4974269180/1020894847*c_1001_1^3 + 17114967088/1020894847*c_1001_1^2 + 706731624/145842121*c_1001_1 - 3517154279/1020894847, c_1001_1^8 - 621/167*c_1001_1^7 + 909/167*c_1001_1^6 - 564/167*c_1001_1^5 + 53/167*c_1001_1^4 + 40/167*c_1001_1^3 + 54/167*c_1001_1^2 - 46/167*c_1001_1 + 9/167 ], 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_12, c_0011_4, c_0101_0, c_0101_1, c_0101_11, c_0101_12, c_0101_5, c_0110_6, c_1001_0, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 534721102112262156531/369126013590835*c_1001_1^8 - 2690101710341481192897/369126013590835*c_1001_1^7 - 6389138891985992517724/369126013590835*c_1001_1^6 - 1824054377682975938828/73825202718167*c_1001_1^5 - 1751714288075786642835/73825202718167*c_1001_1^4 - 12092874087994784686871/738252027181670*c_1001_1^3 - 3116916743231385506247/369126013590835*c_1001_1^2 - 1096799122774607580084/369126013590835*c_1001_1 - 188812897207741285696/369126013590835, c_0011_0 - 1, c_0011_10 + 1, c_0011_11 + 12204822663/3825734711*c_1001_1^8 + 99360891167/3825734711*c_1001_1^7 + 276739790064/3825734711*c_1001_1^6 + 418750575396/3825734711*c_1001_1^5 + 385817279634/3825734711*c_1001_1^4 + 243401964424/3825734711*c_1001_1^3 + 110148702992/3825734711*c_1001_1^2 + 31704428274/3825734711*c_1001_1 + 1251836858/3825734711, c_0011_12 - 152811193183/7651469422*c_1001_1^8 - 664604265327/7651469422*c_1001_1^7 - 1360311480313/7651469422*c_1001_1^6 - 817851728556/3825734711*c_1001_1^5 - 1318518015901/7651469422*c_1001_1^4 - 384885092618/3825734711*c_1001_1^3 - 164003789587/3825734711*c_1001_1^2 - 32993323301/3825734711*c_1001_1 + 2603639625/7651469422, c_0011_4 - 8020825736/3825734711*c_1001_1^8 - 38809859584/3825734711*c_1001_1^7 - 101148344128/3825734711*c_1001_1^6 - 162251071032/3825734711*c_1001_1^5 - 166736438559/3825734711*c_1001_1^4 - 113046578272/3825734711*c_1001_1^3 - 54738572395/3825734711*c_1001_1^2 - 18482390128/3825734711*c_1001_1 - 2068357375/3825734711, c_0101_0 + c_1001_1, c_0101_1 + 52096590172/3825734711*c_1001_1^8 + 216439475904/3825734711*c_1001_1^7 + 431060116312/3825734711*c_1001_1^6 + 510505284508/3825734711*c_1001_1^5 + 417468295508/3825734711*c_1001_1^4 + 246581531308/3825734711*c_1001_1^3 + 104826598351/3825734711*c_1001_1^2 + 24307086748/3825734711*c_1001_1 + 2484997509/3825734711, c_0101_11 + 152811193183/7651469422*c_1001_1^8 + 664604265327/7651469422*c_1001_1^7 + 1360311480313/7651469422*c_1001_1^6 + 817851728556/3825734711*c_1001_1^5 + 1318518015901/7651469422*c_1001_1^4 + 384885092618/3825734711*c_1001_1^3 + 164003789587/3825734711*c_1001_1^2 + 32993323301/3825734711*c_1001_1 - 2603639625/7651469422, c_0101_12 - 39201967321/7651469422*c_1001_1^8 - 183132359105/7651469422*c_1001_1^7 - 421057335751/7651469422*c_1001_1^6 - 281554434335/3825734711*c_1001_1^5 - 502406090295/7651469422*c_1001_1^4 - 160780093280/3825734711*c_1001_1^3 - 81969348629/3825734711*c_1001_1^2 - 23441907426/3825734711*c_1001_1 - 3456347747/7651469422, c_0101_5 + 152811193183/7651469422*c_1001_1^8 + 664604265327/7651469422*c_1001_1^7 + 1360311480313/7651469422*c_1001_1^6 + 817851728556/3825734711*c_1001_1^5 + 1318518015901/7651469422*c_1001_1^4 + 384885092618/3825734711*c_1001_1^3 + 164003789587/3825734711*c_1001_1^2 + 32993323301/3825734711*c_1001_1 - 10255109047/7651469422, c_0110_6 - 1, c_1001_0 - 152811193183/3825734711*c_1001_1^8 - 664604265327/3825734711*c_1001_1^7 - 1360311480313/3825734711*c_1001_1^6 - 1635703457112/3825734711*c_1001_1^5 - 1318518015901/3825734711*c_1001_1^4 - 769770185236/3825734711*c_1001_1^3 - 328007579174/3825734711*c_1001_1^2 - 65986646602/3825734711*c_1001_1 + 6429374336/3825734711, c_1001_1^9 + 606/121*c_1001_1^8 + 1432/121*c_1001_1^7 + 2031/121*c_1001_1^6 + 1935/121*c_1001_1^5 + 1323/121*c_1001_1^4 + 674/121*c_1001_1^3 + 232/121*c_1001_1^2 + 37/121*c_1001_1 - 1/121 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.180 Total time: 0.380 seconds, Total memory usage: 32.09MB