Magma V2.19-8 Wed Aug 21 2013 01:08:43 on localhost [Seed = 2034196519] Type ? for help. Type -D to quit. Loading file "L14n43209__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n43209 geometric_solution 11.76294367 oriented_manifold CS_known 0.0000000000000008 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 2 1 0 1 0 0 0 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 1 -1 0 1 0 0 -1 -1 -1 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.070957497361 1.095630747727 0 2 4 5 0132 0213 0213 0132 2 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 -1 0 1 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 0.543760222318 0.466750856123 4 0 1 6 0213 0132 0213 0132 2 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 -1 0 1 -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 0.450220731069 0.530950602176 5 7 8 0 0132 0132 0132 0132 2 1 1 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.450220731069 0.530950602176 2 1 0 7 0213 0213 0132 0132 2 1 1 0 0 0 0 0 0 0 -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 1 -1 1 -1 0 0 1 1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.450220731069 0.530950602176 3 9 1 6 0132 0132 0132 0321 2 1 2 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.941135687229 0.908903969469 10 5 2 11 0132 0321 0132 0132 2 1 2 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 -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 0.759521612024 0.985023891962 10 3 4 12 3201 0132 0132 0132 2 1 2 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 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 0.759521612024 0.985023891962 11 12 9 3 3120 0132 1230 0132 2 1 2 2 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 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 1.013911879575 0.850796687898 12 5 11 8 3012 0132 0213 3012 2 2 1 2 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 -1 1 0 -1 0 1 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.421240990314 0.485649944982 6 11 12 7 0132 3012 2103 2310 2 1 1 2 0 1 -1 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 1 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 0.916073879937 1.487805727782 10 9 6 8 1230 0213 0132 3120 2 1 2 2 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 0 -1 1 1 0 0 -1 -1 1 0 0 1 -2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.592670889261 0.365146742917 10 8 7 9 2103 0132 0132 1230 2 1 2 2 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 -1 -1 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.592670889261 0.365146742917 ==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' : negation(d['c_0011_11']), 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : negation(d['c_0101_8']), 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : d['c_1001_0'], '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_1001_12'], 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : d['c_1001_11'], 'c_1001_8' : d['c_0011_11'], 'c_1010_12' : d['c_0011_11'], 'c_1010_11' : negation(d['c_0011_11']), 'c_1010_10' : negation(d['c_0101_10']), '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_10'], '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' : 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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_0011_11']), 'c_1100_8' : d['c_0110_9'], 'c_0011_12' : negation(d['c_0011_11']), 'c_1100_5' : d['c_1001_0'], 'c_1100_4' : d['c_0110_9'], 'c_1100_7' : d['c_0110_9'], 'c_1100_6' : negation(d['c_0101_8']), 'c_1100_1' : d['c_1001_0'], 'c_1100_0' : d['c_0110_9'], 'c_1100_3' : d['c_0110_9'], 'c_1100_2' : negation(d['c_0101_8']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_8']), 'c_1100_10' : negation(d['c_0011_3']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_12'], 'c_1010_6' : d['c_1001_11'], 'c_1010_5' : d['c_1001_11'], 'c_1010_4' : d['c_1001_0'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_8']), 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : negation(d['c_0101_8']), 'c_1010_8' : d['c_1001_12'], 's_3_1' : d['1'], 's_3_0' : negation(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_0110_9'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(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_3'], 'c_0011_8' : d['c_0011_11'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : negation(d['c_0011_3']), '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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_10'], 'c_0110_10' : d['c_0101_6'], 'c_0110_12' : d['c_0011_3'], 'c_0101_12' : d['c_0101_10'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : negation(d['c_0101_6']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_0']), 'c_0101_3' : d['c_0011_10'], 'c_0101_2' : negation(d['c_0011_0']), 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_11'], 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_9'], 'c_0110_8' : d['c_0011_10'], '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_0011_10'], 'c_0110_4' : negation(d['c_0101_6']), 'c_0110_7' : d['c_0101_10'], 'c_0110_6' : d['c_0101_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_0101_0, c_0101_10, c_0101_6, c_0101_8, c_0110_9, c_1001_0, c_1001_1, c_1001_11, c_1001_12 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 18933382049305460793517/31019292700106161472*c_1001_12^7 - 42804352674503962746387/124077170800424645888*c_1001_12^6 + 19801111807636273119543/15509646350053080736*c_1001_12^5 - 9315847306364620109637/141802480914771023872*c_1001_12^4 + 6467567747314337864078495/992617366403397167104*c_1001_12^3 - 97350175807376689031443285/31763755724908709347328*c_1001_12^2 + 62463443607046264351126305/15881877862454354673664*c_1001_12 - 1639404708331917507439829/1134419847318168190976, c_0011_0 - 1, c_0011_10 - 328171335410944/1413050870085011*c_1001_12^7 + 62806104365248/1413050870085011*c_1001_12^6 - 710310131000704/1413050870085011*c_1001_12^5 - 233835208957096/1413050870085011*c_1001_12^4 - 3428179327669960/1413050870085011*c_1001_12^3 + 1036103549393005/5652203480340044*c_1001_12^2 - 2992276815233473/1413050870085011*c_1001_12 - 159131421558977/1413050870085011, c_0011_11 + 773387212995072/1413050870085011*c_1001_12^7 + 158066093884032/1413050870085011*c_1001_12^6 + 1388162641395968/1413050870085011*c_1001_12^5 + 978671931731280/1413050870085011*c_1001_12^4 + 8475960991596976/1413050870085011*c_1001_12^3 + 4117000516879779/2826101740170022*c_1001_12^2 + 3774419517093760/1413050870085011*c_1001_12 + 956821605530868/1413050870085011, c_0011_3 - 328171335410944/1413050870085011*c_1001_12^7 + 62806104365248/1413050870085011*c_1001_12^6 - 710310131000704/1413050870085011*c_1001_12^5 - 233835208957096/1413050870085011*c_1001_12^4 - 3428179327669960/1413050870085011*c_1001_12^3 + 1036103549393005/5652203480340044*c_1001_12^2 - 2992276815233473/1413050870085011*c_1001_12 - 159131421558977/1413050870085011, c_0101_0 - 1, c_0101_10 - 129347844503296/1413050870085011*c_1001_12^7 - 84326464942528/1413050870085011*c_1001_12^6 - 506437752536832/1413050870085011*c_1001_12^5 - 219484118106936/1413050870085011*c_1001_12^4 - 2103522910529768/1413050870085011*c_1001_12^3 - 4562153920658033/5652203480340044*c_1001_12^2 - 5236782534202197/2826101740170022*c_1001_12 - 234327866874937/1413050870085011, c_0101_6 - 1203143125055360/9891356090595077*c_1001_12^7 - 1692550217617376/9891356090595077*c_1001_12^6 - 1376358264956288/9891356090595077*c_1001_12^5 - 467059937069732/1413050870085011*c_1001_12^4 - 13748612460797860/9891356090595077*c_1001_12^3 - 111995171798114137/79130848724760616*c_1001_12^2 + 8385458377807151/39565424362380308*c_1001_12 + 592686427889124/1413050870085011, c_0101_8 + 13928368863744/1413050870085011*c_1001_12^7 + 187806560415360/1413050870085011*c_1001_12^6 - 44129053011968/1413050870085011*c_1001_12^5 + 373937279369424/1413050870085011*c_1001_12^4 + 231717906428880/1413050870085011*c_1001_12^3 + 3020668680231387/2826101740170022*c_1001_12^2 - 420686413019587/1413050870085011*c_1001_12 + 566407423244723/1413050870085011, c_0110_9 - 13928368863744/1413050870085011*c_1001_12^7 - 187806560415360/1413050870085011*c_1001_12^6 + 44129053011968/1413050870085011*c_1001_12^5 - 373937279369424/1413050870085011*c_1001_12^4 - 231717906428880/1413050870085011*c_1001_12^3 - 3020668680231387/2826101740170022*c_1001_12^2 + 420686413019587/1413050870085011*c_1001_12 - 566407423244723/1413050870085011, c_1001_0 - 1, c_1001_1 - 13928368863744/1413050870085011*c_1001_12^7 - 187806560415360/1413050870085011*c_1001_12^6 + 44129053011968/1413050870085011*c_1001_12^5 - 373937279369424/1413050870085011*c_1001_12^4 - 231717906428880/1413050870085011*c_1001_12^3 - 3020668680231387/2826101740170022*c_1001_12^2 + 420686413019587/1413050870085011*c_1001_12 - 1979458293329734/1413050870085011, c_1001_11 + c_1001_12, c_1001_12^8 + 1/4*c_1001_12^7 + 2*c_1001_12^6 + 49/32*c_1001_12^5 + 363/32*c_1001_12^4 + 4023/1024*c_1001_12^3 + 3277/512*c_1001_12^2 + 665/256*c_1001_12 + 7/16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.250 seconds, Total memory usage: 32.09MB