Magma V2.19-8 Tue Aug 20 2013 23:40:30 on localhost [Seed = 139357313] Type ? for help. Type -D to quit. Loading file "K12n313__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K12n313 geometric_solution 11.06790735 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 -1 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 0 0 0 0 -2 0 2 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 0 0 0 1.332953605815 1.728376768260 0 5 7 6 0132 0132 0132 0132 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 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 0.466849489818 0.529722190183 3 0 8 6 2031 0132 0132 0321 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 2 -2 0 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 1.180985963370 1.670350194676 6 9 2 0 0132 0132 1302 0132 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.481097801639 0.766570792230 10 7 0 8 0132 0213 0132 1230 0 0 0 0 0 1 -1 0 1 0 0 -1 -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 1 -2 1 2 0 0 -2 -1 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.233581195606 0.754299852416 9 1 11 7 0213 0132 0132 1230 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 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 0.314341794852 0.457617998918 3 2 1 9 0132 0321 0132 0132 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.173749486819 0.593622912103 5 10 4 1 3012 3120 0213 0132 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 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 0.357221521360 0.788592290937 4 10 11 2 3012 3201 0213 0132 0 0 0 0 0 0 -1 1 0 0 0 0 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 -2 2 -1 0 1 0 2 0 0 -2 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.455870886595 0.585839302822 5 3 6 11 0213 0132 0132 2310 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 2 0 0 -2 0 -1 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.382493883081 0.639758657298 4 7 8 11 0132 3120 2310 3012 0 0 0 0 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 -2 0 0 2 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.424545481725 0.922099658626 9 8 10 5 3201 0213 1230 0132 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 2 -2 0 -1 0 1 0 0 -1 0 1 2 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.533978001939 1.331574333759 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_8']), 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : negation(d['c_1001_10']), 'c_1001_7' : negation(d['c_1001_10']), 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : negation(d['c_0011_10']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_3'], 'c_1001_2' : negation(d['c_1001_10']), 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : negation(d['c_0011_8']), 'c_1010_11' : d['c_1001_5'], 'c_1010_10' : negation(d['c_0011_7']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_7'], 'c_0101_10' : d['c_0011_8'], '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_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_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0101_1'], 'c_1100_4' : d['c_0101_2'], 'c_1100_7' : d['c_0011_11'], 'c_1100_6' : d['c_0011_11'], 'c_1100_1' : d['c_0011_11'], 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : d['c_1001_5'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_1'], 'c_1100_10' : d['c_0011_8'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_10']), 'c_1010_6' : d['c_1001_0'], 'c_1010_5' : negation(d['c_0011_10']), 'c_1010_4' : d['c_0011_11'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : negation(d['c_1001_10']), 'c_1010_9' : d['c_0011_3'], 'c_1010_8' : negation(d['c_1001_10']), 'c_1100_8' : d['c_1001_5'], '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' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_3']), '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_3']), 'c_0110_10' : d['c_0101_1'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0011_10']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_0'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_0'], 'c_0101_8' : d['c_0011_11'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_7']), 'c_0110_8' : d['c_0101_2'], '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_0011_3'], 'c_0110_5' : d['c_0011_7'], 'c_0110_4' : d['c_0011_8'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0011_0']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_7, c_0011_8, c_0101_0, c_0101_1, c_0101_2, c_1001_0, c_1001_10, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 3835858554291848970446964971773698/4432446734830452849866571129445*\ c_1001_5^8 + 3551567134248914571615185514355523/6332066764043504071\ 23795875635*c_1001_5^7 - 90579359947434738261177625562220529/443244\ 6734830452849866571129445*c_1001_5^6 + 202590993772931535645038086285603037/443244673483045284986657112944\ 5*c_1001_5^5 - 249752948496231664248444450231946239/443244673483045\ 2849866571129445*c_1001_5^4 + 234705101194564729804257466517123718/\ 4432446734830452849866571129445*c_1001_5^3 - 248964698514373214596763168501399099/443244673483045284986657112944\ 5*c_1001_5^2 + 104504915951902140362460866583550444/443244673483045\ 2849866571129445*c_1001_5 - 111345370033377860754708199576312806/44\ 32446734830452849866571129445, c_0011_0 - 1, c_0011_10 - 56523036812048290/4350952625099506559*c_1001_5^8 + 46809494198445651/621564660728500937*c_1001_5^7 - 1181482769835382540/4350952625099506559*c_1001_5^6 + 2684240504629918757/4350952625099506559*c_1001_5^5 - 3977958767173484536/4350952625099506559*c_1001_5^4 + 5721694826722135558/4350952625099506559*c_1001_5^3 - 7084058824956542865/4350952625099506559*c_1001_5^2 + 3444165025445320983/4350952625099506559*c_1001_5 - 3479775356252394316/4350952625099506559, c_0011_11 - 35079293527436866/4350952625099506559*c_1001_5^8 + 41775081517045997/621564660728500937*c_1001_5^7 - 1160215582497205914/4350952625099506559*c_1001_5^6 + 2821253318590525061/4350952625099506559*c_1001_5^5 - 3473763073050438142/4350952625099506559*c_1001_5^4 + 1182475024481805526/4350952625099506559*c_1001_5^3 + 674024798571324422/4350952625099506559*c_1001_5^2 + 693405380827048024/4350952625099506559*c_1001_5 + 3267271454817343766/4350952625099506559, c_0011_3 + 54224553713644798/4350952625099506559*c_1001_5^8 - 48331321546855810/621564660728500937*c_1001_5^7 + 1211900244792069407/4350952625099506559*c_1001_5^6 - 2552295564670862848/4350952625099506559*c_1001_5^5 + 2908995329322552164/4350952625099506559*c_1001_5^4 - 2744405517073659050/4350952625099506559*c_1001_5^3 + 3863774067669623158/4350952625099506559*c_1001_5^2 - 4391769438469962558/4350952625099506559*c_1001_5 + 1642162641309784109/4350952625099506559, c_0011_7 + 180906177580566820/4350952625099506559*c_1001_5^8 - 178690978779393455/621564660728500937*c_1001_5^7 + 4713814179621863775/4350952625099506559*c_1001_5^6 - 10879042706481831727/4350952625099506559*c_1001_5^5 + 13834480242596912984/4350952625099506559*c_1001_5^4 - 10831050392759405660/4350952625099506559*c_1001_5^3 + 9599783295483517179/4350952625099506559*c_1001_5^2 - 4871792600469873030/4350952625099506559*c_1001_5 + 2938347713026997452/4350952625099506559, c_0011_8 - 7825857704494003/4350952625099506559*c_1001_5^8 - 11696856397172199/621564660728500937*c_1001_5^7 + 388795931925582588/4350952625099506559*c_1001_5^6 - 1190326707089901946/4350952625099506559*c_1001_5^5 + 1357058121488750081/4350952625099506559*c_1001_5^4 + 1424437176769642053/4350952625099506559*c_1001_5^3 - 2075522583169591533/4350952625099506559*c_1001_5^2 + 719071924176495104/4350952625099506559*c_1001_5 - 2717493377245677340/4350952625099506559, c_0101_0 - 40568245212913548/4350952625099506559*c_1001_5^8 + 50095967894165239/621564660728500937*c_1001_5^7 - 1662517176610383895/4350952625099506559*c_1001_5^6 + 4872280949443103272/4350952625099506559*c_1001_5^5 - 8803727277727203004/4350952625099506559*c_1001_5^4 + 9316042015904500994/4350952625099506559*c_1001_5^3 - 2974356461573639780/4350952625099506559*c_1001_5^2 + 5741138864353356150/4350952625099506559*c_1001_5 - 5177799515196386882/4350952625099506559, c_0101_1 + 98497240680531897/4350952625099506559*c_1001_5^8 - 88304960967690986/621564660728500937*c_1001_5^7 + 2117832841843149012/4350952625099506559*c_1001_5^6 - 4366161353736272557/4350952625099506559*c_1001_5^5 + 3988172553040300116/4350952625099506559*c_1001_5^4 - 2799294103476560980/4350952625099506559*c_1001_5^3 + 3481217860693119822/4350952625099506559*c_1001_5^2 - 54208785061421314/4350952625099506559*c_1001_5 + 637290493286311555/4350952625099506559, c_0101_2 + 27369034524025084/621564660728500937*c_1001_5^8 - 32021216103500574/88794951532642991*c_1001_5^7 + 944786790719859194/621564660728500937*c_1001_5^6 - 2474323735706454803/621564660728500937*c_1001_5^5 + 3826637685201155283/621564660728500937*c_1001_5^4 - 3319091210921813452/621564660728500937*c_1001_5^3 + 1838142875606160400/621564660728500937*c_1001_5^2 - 1625297816120109730/621564660728500937*c_1001_5 + 560735530763220634/621564660728500937, c_1001_0 - 126094467426244196/4350952625099506559*c_1001_5^8 + 95646300677149983/621564660728500937*c_1001_5^7 - 1999970296126734937/4350952625099506559*c_1001_5^6 + 2991939446592143380/4350952625099506559*c_1001_5^5 + 286009884965800426/4350952625099506559*c_1001_5^4 - 3623843732632125960/4350952625099506559*c_1001_5^3 + 2931067376699048822/4350952625099506559*c_1001_5^2 - 6095496407996637478/4350952625099506559*c_1001_5 + 1070849676657870315/4350952625099506559, c_1001_10 - 142744022435355756/4350952625099506559*c_1001_5^8 + 158339103400504742/621564660728500937*c_1001_5^7 - 4440535742464601425/4350952625099506559*c_1001_5^6 + 10874601575299259857/4350952625099506559*c_1001_5^5 - 14789873374837662588/4350952625099506559*c_1001_5^4 + 9859525750980439603/4350952625099506559*c_1001_5^3 - 3504254183721560056/4350952625099506559*c_1001_5^2 + 1321196670393402289/4350952625099506559*c_1001_5 - 2763796530530118569/4350952625099506559, c_1001_5^9 - 204/31*c_1001_5^8 + 752/31*c_1001_5^7 - 1710/31*c_1001_5^6 + 2181/31*c_1001_5^5 - 2097/31*c_1001_5^4 + 2200/31*c_1001_5^3 - 1044/31*c_1001_5^2 + 983/31*c_1001_5 - 89/31 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 2.550 Total time: 2.770 seconds, Total memory usage: 64.12MB