Magma V2.19-8 Wed Aug 21 2013 01:04:38 on localhost [Seed = 1831564560] Type ? for help. Type -D to quit. Loading file "L14n24550__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n24550 geometric_solution 12.40854883 oriented_manifold CS_known 0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 2 0132 0132 0132 1230 1 1 0 1 0 1 -1 0 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 -3 2 1 0 0 0 0 -1 -1 0 2 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.467431768409 0.721629435371 0 4 4 5 0132 0132 1302 0132 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 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 0.774298304241 1.099424402172 0 0 4 6 3012 0132 0132 0132 1 1 1 0 0 -1 0 1 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 3 0 -3 -1 0 0 1 0 2 0 -2 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.662087048495 0.897127306193 5 7 8 0 0213 0132 0132 0132 1 1 1 1 0 -1 0 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 2 0 -2 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 0.793175258170 0.816831025356 1 1 9 2 2031 0132 0132 0132 1 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 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 0.571802054333 0.607997289736 3 10 1 7 0213 0132 0132 1230 1 1 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 0 0 0 0 0 0 1 0 0 -1 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.575444408551 0.918075125371 11 8 2 10 0132 1023 0132 3120 1 1 1 1 0 0 -1 1 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 3 -3 0 0 -1 1 0 0 0 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.947151005461 1.111105098856 5 3 8 11 3012 0132 1023 2103 1 1 1 1 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 -2 0 2 0 0 0 0 1 0 0 -1 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.153815780396 0.760288455387 6 12 7 3 1023 0132 1023 0132 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.700309584634 0.463933634727 11 10 12 4 2103 0321 2103 0132 1 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 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 0.687998673052 0.660930084076 6 5 12 9 3120 0132 0132 0321 1 1 1 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 -1 0 0 1 0 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.851446846840 1.003034822174 6 12 9 7 0132 3201 2103 2103 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 -1 0 1 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 0.291306803265 1.150483412664 9 8 11 10 2103 0132 2310 0132 1 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 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 0.632265349873 0.530893843254 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_9'], 'c_1001_10' : d['c_0101_7'], 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_0101_8'], 'c_1001_6' : d['c_0101_8'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_0101_8'], 'c_1001_3' : d['c_1001_12'], 'c_1001_2' : d['c_0101_2'], 'c_1001_9' : d['c_0011_11'], 'c_1001_8' : d['c_0101_7'], 'c_1010_12' : d['c_0101_7'], 'c_1010_11' : negation(d['c_1001_12']), 'c_1010_10' : d['c_1001_4'], 's_0_10' : d['1'], 's_0_11' : 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' : negation(d['c_0011_9']), 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : negation(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' : negation(d['1']), 's_0_5' : negation(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_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_0101_6'], 'c_0011_12' : d['c_0011_11'], 'c_1100_5' : d['c_0101_4'], 'c_1100_4' : negation(d['c_0101_10']), 'c_1100_7' : negation(d['c_0101_6']), 'c_1100_6' : negation(d['c_0101_10']), 'c_1100_1' : d['c_0101_4'], 'c_1100_0' : d['c_0101_6'], 'c_1100_3' : d['c_0101_6'], 'c_1100_2' : negation(d['c_0101_10']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_4']), 'c_1100_10' : d['c_0011_11'], 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_12'], 'c_1010_6' : negation(d['c_0011_10']), 'c_1010_5' : d['c_0101_7'], 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : d['c_0101_8'], 'c_1010_2' : d['c_0101_8'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : d['c_0101_2'], 'c_1010_9' : d['c_1001_4'], 'c_1010_8' : d['c_1001_12'], 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : negation(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_0011_11'], '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' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_3']), '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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_6'], 'c_0110_10' : negation(d['c_0011_9']), 'c_0110_12' : d['c_0101_10'], 'c_0101_12' : negation(d['c_0011_9']), 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_10']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0011_3'], 'c_0101_9' : negation(d['c_0011_9']), '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_0101_4'], 'c_0110_8' : negation(d['c_0011_10']), 'c_0110_1' : d['c_0011_3'], 'c_1100_9' : negation(d['c_0101_10']), 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : d['c_0101_2'], 'c_0110_7' : d['c_0101_4'], 'c_0110_6' : negation(d['c_0011_9'])})} 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_0011_9, c_0101_10, c_0101_2, c_0101_4, c_0101_6, c_0101_7, c_0101_8, c_1001_12, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 7734494452289838849935/146145273602987421799616*c_1001_4^10 - 1076851447325442003483051/1680670646434355350695584*c_1001_4^9 - 10739255794838876918299683/3361341292868710701391168*c_1001_4^8 - 11462659631665956731616887/3361341292868710701391168*c_1001_4^7 - 3856232411750781665686929/1680670646434355350695584*c_1001_4^6 - 9300016896639885591891795/420167661608588837673896*c_1001_4^5 - 77982471200622304714639839/1680670646434355350695584*c_1001_4^4 - 153354666573210127928697531/3361341292868710701391168*c_1001_4^3 - 78842526777541916834771917/3361341292868710701391168*c_1001_4^2 + 26888551247005446798830679/3361341292868710701391168*c_1001_4 + 63971422642655015616353401/3361341292868710701391168, c_0011_0 - 1, c_0011_10 - 183290611617610544/120854813651495517679*c_1001_4^10 + 2552129353257150983/120854813651495517679*c_1001_4^9 + 6639400105659002987/120854813651495517679*c_1001_4^8 - 3052628552082992831/120854813651495517679*c_1001_4^7 + 3793871085436377191/120854813651495517679*c_1001_4^6 + 65894667245785209768/120854813651495517679*c_1001_4^5 + 27071098874922971867/120854813651495517679*c_1001_4^4 - 5043115873906998988/120854813651495517679*c_1001_4^3 - 44502760862066431412/120854813651495517679*c_1001_4^2 - 46857834508345597864/120854813651495517679*c_1001_4 + 3928862121085618572/120854813651495517679, c_0011_11 + 266710153442544680/120854813651495517679*c_1001_4^10 - 3529587341156620422/120854813651495517679*c_1001_4^9 - 11985770092630207563/120854813651495517679*c_1001_4^8 - 5298462274192100089/120854813651495517679*c_1001_4^7 - 14612683323098547636/120854813651495517679*c_1001_4^6 - 102305463720665049336/120854813651495517679*c_1001_4^5 - 117640041487794003832/120854813651495517679*c_1001_4^4 - 145858501526351699526/120854813651495517679*c_1001_4^3 - 43687469249878862668/120854813651495517679*c_1001_4^2 + 23269910534883456663/120854813651495517679*c_1001_4 + 17248164448844051792/120854813651495517679, c_0011_3 - 1, c_0011_9 - 162720481843455830/120854813651495517679*c_1001_4^10 + 2317439389001252067/120854813651495517679*c_1001_4^9 + 5136382644114944548/120854813651495517679*c_1001_4^8 - 4126060266898332156/120854813651495517679*c_1001_4^7 + 6606627819865123736/120854813651495517679*c_1001_4^6 + 57495297326997054862/120854813651495517679*c_1001_4^5 + 9158586497362543302/120854813651495517679*c_1001_4^4 + 14578821974696418851/120854813651495517679*c_1001_4^3 + 172283078886957958/120854813651495517679*c_1001_4^2 - 7056014643101632716/120854813651495517679*c_1001_4 + 66153747301123322062/120854813651495517679, c_0101_10 + 91186215092038145/120854813651495517679*c_1001_4^10 - 1186208117416510391/120854813651495517679*c_1001_4^9 - 4407440942843323975/120854813651495517679*c_1001_4^8 - 2129650219846703965/120854813651495517679*c_1001_4^7 - 5216193159819086287/120854813651495517679*c_1001_4^6 - 37665393844006026657/120854813651495517679*c_1001_4^5 - 46028415235089984158/120854813651495517679*c_1001_4^4 - 57851089706007076697/120854813651495517679*c_1001_4^3 - 63280134196777543888/120854813651495517679*c_1001_4^2 - 52758594865629175182/120854813651495517679*c_1001_4 - 2217116453557752296/120854813651495517679, c_0101_2 + 135425409929667705/120854813651495517679*c_1001_4^10 - 1863976667927098691/120854813651495517679*c_1001_4^9 - 5309282382952000533/120854813651495517679*c_1001_4^8 + 2793459168372471421/120854813651495517679*c_1001_4^7 + 2589604653392655579/120854813651495517679*c_1001_4^6 - 47081491886906483675/120854813651495517679*c_1001_4^5 - 37299297761428280008/120854813651495517679*c_1001_4^4 + 24779411158480365053/120854813651495517679*c_1001_4^3 + 101279558096661286787/120854813651495517679*c_1001_4^2 + 81032536140842650338/120854813651495517679*c_1001_4 + 2923857283071802949/120854813651495517679, c_0101_4 + 135425409929667705/120854813651495517679*c_1001_4^10 - 1863976667927098691/120854813651495517679*c_1001_4^9 - 5309282382952000533/120854813651495517679*c_1001_4^8 + 2793459168372471421/120854813651495517679*c_1001_4^7 + 2589604653392655579/120854813651495517679*c_1001_4^6 - 47081491886906483675/120854813651495517679*c_1001_4^5 - 37299297761428280008/120854813651495517679*c_1001_4^4 + 24779411158480365053/120854813651495517679*c_1001_4^3 + 101279558096661286787/120854813651495517679*c_1001_4^2 - 39822277510652867341/120854813651495517679*c_1001_4 + 2923857283071802949/120854813651495517679, c_0101_6 - 274444075843317220/120854813651495517679*c_1001_4^10 + 3691798782885789401/120854813651495517679*c_1001_4^9 + 11459142672892808312/120854813651495517679*c_1001_4^8 + 4122777694591144123/120854813651495517679*c_1001_4^7 + 13633603476299554641/120854813651495517679*c_1001_4^6 + 94465861347376584311/120854813651495517679*c_1001_4^5 + 107432984202204368136/120854813651495517679*c_1001_4^4 + 158603964901632530072/120854813651495517679*c_1001_4^3 - 40188725396729800999/120854813651495517679*c_1001_4^2 - 92698665695821963539/120854813651495517679*c_1001_4 - 56841338676004761937/120854813651495517679, c_0101_7 + 7843355985668181/6360779665868185141*c_1001_4^10 - 104208731830877828/6360779665868185141*c_1001_4^9 - 356585730049145022/6360779665868185141*c_1001_4^8 - 16641470584717886/6360779665868185141*c_1001_4^7 + 121916798630732930/6360779665868185141*c_1001_4^6 - 3074899952582073803/6360779665868185141*c_1001_4^5 - 3851636337532763479/6360779665868185141*c_1001_4^4 + 127851357682835774/6360779665868185141*c_1001_4^3 + 3490432882393339835/6360779665868185141*c_1001_4^2 - 3075415174521211147/6360779665868185141*c_1001_4 - 3252125562288431282/6360779665868185141, c_0101_8 - 139018665913649515/120854813651495517679*c_1001_4^10 + 1827822114958690710/120854813651495517679*c_1001_4^9 + 6149860289940807779/120854813651495517679*c_1001_4^8 + 6916236862963615544/120854813651495517679*c_1001_4^7 + 16223208129692210220/120854813651495517679*c_1001_4^6 + 47384369460470100636/120854813651495517679*c_1001_4^5 + 70133686440776088128/120854813651495517679*c_1001_4^4 + 183383376060112895125/120854813651495517679*c_1001_4^3 + 61090832699931485788/120854813651495517679*c_1001_4^2 - 11666129554979313201/120854813651495517679*c_1001_4 - 53917481392932958988/120854813651495517679, c_1001_12 - 365630290935355365/120854813651495517679*c_1001_4^10 + 4878006900302299792/120854813651495517679*c_1001_4^9 + 15866583615736132287/120854813651495517679*c_1001_4^8 + 6252427914437848088/120854813651495517679*c_1001_4^7 + 18849796636118640928/120854813651495517679*c_1001_4^6 + 132131255191382610968/120854813651495517679*c_1001_4^5 + 153461399437294352294/120854813651495517679*c_1001_4^4 + 216455054607639606769/120854813651495517679*c_1001_4^3 + 23091408800047742889/120854813651495517679*c_1001_4^2 - 160794884481688306036/120854813651495517679*c_1001_4 - 54624222222447009641/120854813651495517679, c_1001_4^11 - 13*c_1001_4^10 - 49*c_1001_4^9 - 18*c_1001_4^8 - 9*c_1001_4^7 - 378*c_1001_4^6 - 518*c_1001_4^5 - 305*c_1001_4^4 + 144*c_1001_4^3 + 450*c_1001_4^2 + 152*c_1001_4 - 359 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 2.560 Total time: 2.770 seconds, Total memory usage: 32.09MB