Magma V2.19-8 Wed Aug 21 2013 00:52:57 on localhost [Seed = 1309170638] Type ? for help. Type -D to quit. Loading file "L12n1148__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n1148 geometric_solution 12.08886312 oriented_manifold CS_known 0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 0 2 0 0132 2310 0132 3201 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 -1 3 -2 0 0 0 0 -1 0 0 1 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.765234839868 2.188297226915 0 3 5 4 0132 0132 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 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.506503139158 0.587046256226 6 7 3 0 0132 0132 1023 0132 0 0 0 0 0 0 -1 1 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 3 -3 0 0 0 0 1 -3 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.506503139158 0.587046256226 8 1 2 8 0132 0132 1023 3201 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 -3 3 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.519983515269 0.441470208938 6 6 1 9 2103 1302 0132 0132 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 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 0.639040139489 0.560577145182 8 7 10 1 3012 1302 0132 0132 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 0 0 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.074184328330 0.992644672136 2 11 4 4 0132 0132 2103 2031 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 -1 0 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 0.639040139489 0.560577145182 12 2 8 5 0132 0132 0321 2031 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 -1 0 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 -0.074184328330 0.992644672136 3 3 7 5 0132 2310 0321 1230 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 0 0 0 -3 0 3 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.513598296254 0.422791339768 12 12 4 11 2310 3120 0132 3120 0 0 0 1 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 1 0 0 -1 2 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.648422322576 0.713342721218 12 11 11 5 3120 2310 3120 0132 0 0 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 0 0 3 0 0 -3 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.555885058517 1.127877524058 9 6 10 10 3120 0132 3120 3201 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 1 -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 0 0.648422322576 0.713342721218 7 9 9 10 0132 3120 3201 3120 1 0 0 0 0 1 -1 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 1 -2 1 1 0 -1 0 3 0 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.555885058517 1.127877524058 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_4'], 'c_1001_10' : negation(d['c_0011_4']), 'c_1001_12' : negation(d['c_0101_9']), 'c_1001_5' : d['c_0101_12'], 'c_1001_4' : d['c_0101_2'], 'c_1001_7' : d['c_0101_1'], 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : d['c_0011_5'], 'c_1001_9' : d['c_0101_9'], 'c_1001_8' : negation(d['c_1001_1']), 'c_1010_12' : negation(d['c_0011_10']), 'c_1010_11' : d['c_0011_4'], 'c_1010_10' : d['c_0101_12'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : negation(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' : negation(d['1']), 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : negation(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' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_0101_11']), 'c_1100_8' : d['c_0101_1'], 'c_0011_12' : d['c_0011_11'], 'c_1100_5' : negation(d['c_0101_11']), 'c_1100_4' : negation(d['c_0101_11']), 'c_1100_7' : negation(d['c_1001_1']), 'c_1100_6' : negation(d['c_0101_9']), 'c_1100_1' : negation(d['c_0101_11']), 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0011_0']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_10']), 'c_1100_10' : negation(d['c_0101_11']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_5'], 'c_1010_6' : d['c_0011_4'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0101_9'], 'c_1010_3' : d['c_1001_1'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : d['c_0101_2'], 'c_1010_0' : negation(d['c_0101_1']), 'c_1010_9' : negation(d['c_0011_11']), 'c_1010_8' : d['c_0101_5'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(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_0011_10']), 's_1_7' : negation(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' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_10'], 'c_0011_8' : negation(d['c_0011_0']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : negation(d['c_0011_11']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : d['c_0011_11'], 'c_0110_11' : negation(d['c_0101_12']), 'c_0110_10' : d['c_0101_5'], 'c_0110_12' : d['c_0101_5'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_5'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0011_5'], '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_0101_9'], 'c_0101_8' : negation(d['c_0101_5']), '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' : negation(d['c_0101_12']), 'c_0110_8' : d['c_0011_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_5']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_9'], 'c_0110_7' : d['c_0101_12'], 'c_0110_6' : d['c_0101_2'], '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_4, c_0011_5, c_0101_0, c_0101_1, c_0101_11, c_0101_12, c_0101_2, c_0101_5, c_0101_9, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 5557697246927628950512851633102081/1653910456693586525633674477568*\ c_1001_1^9 + 31060495439842500555379619544769115/330782091338717305\ 1267348955136*c_1001_1^8 + 366514898465064283558397422381327267/264\ 62567307097384410138791641088*c_1001_1^7 + 344524412915906672415283622826441669/264625673070973844101387916410\ 88*c_1001_1^6 + 80663970231101363557761652694224361/661564182677434\ 6102534697910272*c_1001_1^5 + 69230138499998836999259598106654133/6\ 615641826774346102534697910272*c_1001_1^4 + 46265064806134475876635605970463715/6615641826774346102534697910272\ *c_1001_1^3 + 68620066655185151480087958859399545/26462567307097384\ 410138791641088*c_1001_1^2 + 3588742369325929444504635457397131/330\ 7820913387173051267348955136*c_1001_1 + 15665313031558934851841592892155721/2646256730709738441013879164108\ 8, c_0011_0 - 1, c_0011_10 + 58229367808333470/8293352235720439*c_1001_1^9 + 218960589853516805/8293352235720439*c_1001_1^8 + 2696612128463273357/66346817885763512*c_1001_1^7 + 2669061176105459251/66346817885763512*c_1001_1^6 + 551465301269866265/16586704471440878*c_1001_1^5 + 508054484637968811/16586704471440878*c_1001_1^4 + 323207763941430563/16586704471440878*c_1001_1^3 + 551035913312472535/66346817885763512*c_1001_1^2 + 11863956370333520/8293352235720439*c_1001_1 + 136364786208832543/66346817885763512, c_0011_11 + 15966007700827184/8293352235720439*c_1001_1^9 + 43820439514792920/8293352235720439*c_1001_1^8 + 85711506118390465/8293352235720439*c_1001_1^7 + 107085572916821838/8293352235720439*c_1001_1^6 + 111452563323726519/8293352235720439*c_1001_1^5 + 91357270171848825/8293352235720439*c_1001_1^4 + 81595839931072495/8293352235720439*c_1001_1^3 + 47437756207745638/8293352235720439*c_1001_1^2 + 19708240597032111/8293352235720439*c_1001_1 + 5003959876569629/8293352235720439, c_0011_4 - 1, c_0011_5 + c_1001_1, c_0101_0 - 104932213496630016/8293352235720439*c_1001_1^9 - 253764907277812224/8293352235720439*c_1001_1^8 - 366374357038940416/8293352235720439*c_1001_1^7 - 367045454042156656/8293352235720439*c_1001_1^6 - 400445313974350449/8293352235720439*c_1001_1^5 - 335019110064257544/8293352235720439*c_1001_1^4 - 239144647286606962/8293352235720439*c_1001_1^3 - 131523871257008155/8293352235720439*c_1001_1^2 - 83878883709590163/8293352235720439*c_1001_1 - 29495405343485283/8293352235720439, c_0101_1 - 44470705723867920/8293352235720439*c_1001_1^9 - 96566402855940808/8293352235720439*c_1001_1^8 - 122134011154441835/8293352235720439*c_1001_1^7 - 98075649409664786/8293352235720439*c_1001_1^6 - 104474586356928398/8293352235720439*c_1001_1^5 - 76940789592212759/8293352235720439*c_1001_1^4 - 44577551710577712/8293352235720439*c_1001_1^3 - 11448129119083809/8293352235720439*c_1001_1^2 - 14496612659696207/8293352235720439*c_1001_1 + 127502284299731/8293352235720439, c_0101_11 - 15966007700827184/8293352235720439*c_1001_1^9 - 43820439514792920/8293352235720439*c_1001_1^8 - 85711506118390465/8293352235720439*c_1001_1^7 - 107085572916821838/8293352235720439*c_1001_1^6 - 111452563323726519/8293352235720439*c_1001_1^5 - 91357270171848825/8293352235720439*c_1001_1^4 - 81595839931072495/8293352235720439*c_1001_1^3 - 47437756207745638/8293352235720439*c_1001_1^2 - 19708240597032111/8293352235720439*c_1001_1 - 5003959876569629/8293352235720439, c_0101_12 + 80100646663020088/8293352235720439*c_1001_1^9 + 198962143295899508/8293352235720439*c_1001_1^8 + 552980657598655029/16586704471440878*c_1001_1^7 + 528769876959132211/16586704471440878*c_1001_1^6 + 280107422231564134/8293352235720439*c_1001_1^5 + 239139161555382611/8293352235720439*c_1001_1^4 + 169728341844682627/8293352235720439*c_1001_1^3 + 152828788976463809/16586704471440878*c_1001_1^2 + 42775694175641467/8293352235720439*c_1001_1 + 28738874656699443/16586704471440878, c_0101_2 - 88966205795802832/8293352235720439*c_1001_1^9 - 209944467763019304/8293352235720439*c_1001_1^8 - 280662850920549951/8293352235720439*c_1001_1^7 - 259959881125334818/8293352235720439*c_1001_1^6 - 288992750650623930/8293352235720439*c_1001_1^5 - 243661839892408719/8293352235720439*c_1001_1^4 - 157548807355534467/8293352235720439*c_1001_1^3 - 84086115049262517/8293352235720439*c_1001_1^2 - 64170643112558052/8293352235720439*c_1001_1 - 24491445466915654/8293352235720439, c_0101_5 + 149684213488478984/8293352235720439*c_1001_1^9 + 389335042822480188/8293352235720439*c_1001_1^8 + 1092141940175590035/16586704471440878*c_1001_1^7 + 970217586253776339/16586704471440878*c_1001_1^6 + 465660317604631980/8293352235720439*c_1001_1^5 + 393260208364468464/8293352235720439*c_1001_1^4 + 251629095584603958/8293352235720439*c_1001_1^3 + 147441109536176111/16586704471440878*c_1001_1^2 + 41352210814464360/8293352235720439*c_1001_1 + 34968805443587101/16586704471440878, c_0101_9 + 1, c_1001_1^10 + 43/14*c_1001_1^9 + 3851/784*c_1001_1^8 + 495/98*c_1001_1^7 + 3721/784*c_1001_1^6 + 407/98*c_1001_1^5 + 146/49*c_1001_1^4 + 1077/784*c_1001_1^3 + 433/784*c_1001_1^2 + 209/784*c_1001_1 + 41/784 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.260 Total time: 0.480 seconds, Total memory usage: 32.09MB