Magma V2.19-8 Sun Sep 15 2013 04:27:48 on localhost [Seed = 3185213466] Type ? for help. Type -D to quit. Loading file "11_389__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 11_389 geometric_solution 15.81687330 oriented_manifold CS_known -0.0000000000000006 1 0 torus 0.000000000000 0.000000000000 17 1 2 3 4 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 1 -1 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 0.681782642162 0.630310887661 0 2 6 5 0132 0213 0132 0132 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 -1 0 1 0 0 0 0 2 0 0 -2 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.616698672693 0.682500766768 7 0 1 8 0132 0132 0213 0132 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 -1 1 0 0 0 0 0 0 -2 0 2 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.577344466886 0.488316069938 9 10 11 0 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 -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 0.244484811719 0.756694646671 12 8 0 13 0132 0132 0132 0132 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 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.109433087526 1.708546284827 7 14 1 10 2031 0132 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 -1 0 1 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 -1 0 0 -1 -1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.532110541115 0.833001503560 15 8 14 1 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.308142287502 0.543412748772 2 9 5 9 0132 2103 1302 1302 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 1 -1 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.484090646317 0.595985692076 14 4 2 6 0213 0132 0132 0321 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 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.451275219798 1.196966167437 3 7 7 12 0132 2103 2031 3012 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 1 0 -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 0.178870933133 1.010928797992 5 3 13 16 3012 0132 0213 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 1 0 -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 0.500481571521 1.128379526273 15 15 13 3 3012 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 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.561252720906 0.635426152559 4 16 9 15 0132 0132 1230 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 1 0 0 -1 0 0 0 0 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.408100721054 0.930502827239 16 10 4 11 3012 0213 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 1 0 -1 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 -0.323262324438 0.875303973041 8 5 16 6 0213 0132 1302 0132 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 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.158901297073 1.219162738446 6 11 12 11 0132 0132 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.219149476714 0.884045324421 14 12 10 13 2031 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 1 -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 0.542020237454 0.526891396762 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_15' : d['c_1001_15'], 'c_1001_14' : d['c_0011_13'], 'c_1001_16' : d['c_1001_15'], 'c_1001_11' : d['c_0101_11'], 'c_1001_10' : d['c_1001_0'], 'c_1001_13' : d['c_1001_0'], 'c_1001_12' : d['c_0101_12'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : d['c_0011_10'], 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_15'], 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : d['c_0011_0'], 'c_1001_8' : d['c_1001_0'], 'c_1010_13' : d['c_0101_11'], 'c_1010_12' : d['c_1001_15'], 'c_1010_11' : d['c_1001_15'], 'c_1010_10' : d['c_1001_15'], 'c_1010_16' : d['c_0101_12'], 'c_1010_15' : d['c_0101_11'], 'c_1010_14' : d['c_1001_5'], 's_3_11' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_0_14' : d['1'], 's_0_15' : d['1'], 's_0_16' : d['1'], 's_3_16' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_13'], 'c_0101_16' : d['c_0101_16'], 'c_0101_15' : d['c_0101_1'], 'c_0101_14' : d['c_0011_12'], '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_12' : d['1'], 's_2_13' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_2_16' : d['1'], 's_2_14' : d['1'], 's_2_15' : 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_0011_15' : negation(d['c_0011_11']), 'c_0011_14' : d['c_0011_14'], 'c_0011_16' : negation(d['c_0011_12']), 'c_1100_9' : negation(d['c_0101_12']), 'c_1100_8' : d['c_1001_5'], 'c_0011_13' : d['c_0011_13'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_16'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_0101_0'], 'c_1100_6' : d['c_0101_16'], 'c_1100_1' : d['c_0101_16'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1001_5'], 'c_1100_14' : d['c_0101_16'], 'c_1100_15' : d['c_0101_3'], 's_0_10' : d['1'], 'c_1100_16' : d['c_0101_11'], 'c_1100_11' : d['c_1100_0'], 'c_1100_10' : d['c_0101_11'], 'c_1100_13' : d['c_1100_0'], 's_3_10' : d['1'], 's_3_13' : d['1'], 'c_1010_7' : d['c_0101_12'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_0011_13'], 's_0_13' : d['1'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : d['c_1001_1'], 's_3_15' : d['1'], 'c_1010_9' : negation(d['c_0101_12']), 's_3_14' : d['1'], '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'], 'c_1100_12' : d['c_0101_3'], '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' : d['c_0011_10'], 'c_0011_8' : d['c_0011_12'], 'c_0011_5' : negation(d['c_0011_14']), 'c_0011_4' : negation(d['c_0011_12']), 'c_0101_13' : d['c_0101_12'], 'c_0011_6' : d['c_0011_11'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_3'], 'c_0110_10' : d['c_0101_16'], 'c_0110_13' : d['c_0101_11'], 'c_0110_12' : d['c_0101_1'], 'c_0110_15' : d['c_0011_11'], 'c_0110_14' : d['c_0011_11'], 'c_0110_16' : d['c_0011_13'], 'c_1010_4' : d['c_1001_0'], 'c_0101_12' : d['c_0101_12'], 'c_0011_7' : d['c_0011_0'], 's_0_8' : d['1'], 's_0_9' : d['1'], 'c_1010_8' : d['c_1001_1'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0011_14'], 'c_0101_6' : d['c_0011_11'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0011_14'], 'c_0011_10' : d['c_0011_10'], 's_1_16' : d['1'], 's_1_15' : d['1'], 's_1_14' : d['1'], 's_1_13' : d['1'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : negation(d['c_0011_11']), '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_0011_14'], 'c_0110_5' : d['c_0011_10'], 'c_0110_4' : d['c_0101_12'], 'c_0110_7' : negation(d['c_0011_0']), 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 18 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_13, c_0011_14, c_0101_0, c_0101_1, c_0101_11, c_0101_12, c_0101_16, c_0101_3, c_1001_0, c_1001_1, c_1001_15, c_1001_5, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 3841815814972883451170350256921/14487912570840563936375732295*c_110\ 0_0^11 + 6622737598130184354144114222343/28975825141681127872751464\ 59*c_1100_0^10 - 8189982414114636760041514517029/111445481314158184\ 1259671715*c_1100_0^9 + 439533800142642548503932592412816/144879125\ 70840563936375732295*c_1100_0^8 - 21977987044263820707891435463646/\ 123828312571286871251074635*c_1100_0^7 + 8462264224536690392632717314093938/14487912570840563936375732295*c_\ 1100_0^6 - 14227468670265120087815720049636527/14487912570840563936\ 375732295*c_1100_0^5 + 540020572711079736299710500866704/7625217142\ 54766522967143805*c_1100_0^4 - 5492398693038092800760946233705213/1\ 4487912570840563936375732295*c_1100_0^3 + 1587704753968046645801711102562536/14487912570840563936375732295*c_\ 1100_0^2 - 7989728016539605997294056511054/536589354475576442087990\ 085*c_1100_0 + 11667784195082649913707184038547/1448791257084056393\ 6375732295, c_0011_0 - 1, c_0011_10 + 710790483821179/1729645019023653*c_1100_0^11 - 5998238937806519/1729645019023653*c_1100_0^10 + 18549687903902549/1729645019023653*c_1100_0^9 - 8600401390150183/192182779891517*c_1100_0^8 + 459967779194379533/1729645019023653*c_1100_0^7 - 1475120862809959085/1729645019023653*c_1100_0^6 + 2321992080490620127/1729645019023653*c_1100_0^5 - 148338248074838940/192182779891517*c_1100_0^4 + 535432931177668694/1729645019023653*c_1100_0^3 - 29089478309403925/1729645019023653*c_1100_0^2 - 52096576930927148/1729645019023653*c_1100_0 + 7602249687405272/1729645019023653, c_0011_11 + 1251132912385855/1729645019023653*c_1100_0^11 - 11088751710194513/1729645019023653*c_1100_0^10 + 37264230898766663/1729645019023653*c_1100_0^9 - 16808016160529487/192182779891517*c_1100_0^8 + 871277625066181928/1729645019023653*c_1100_0^7 - 2955687701624653703/1729645019023653*c_1100_0^6 + 5280299031507614593/1729645019023653*c_1100_0^5 - 487728164761999115/192182779891517*c_1100_0^4 + 2466278798675846684/1729645019023653*c_1100_0^3 - 853345770292853518/1729645019023653*c_1100_0^2 + 143232077893039066/1729645019023653*c_1100_0 - 8530664341937620/1729645019023653, c_0011_12 - 61456911611028/192182779891517*c_1100_0^11 + 1705892550229751/576548339674551*c_1100_0^10 - 6113036243454113/576548339674551*c_1100_0^9 + 24302896286070815/576548339674551*c_1100_0^8 - 136667586143946772/576548339674551*c_1100_0^7 + 161294343469352290/192182779891517*c_1100_0^6 - 937860751574617180/576548339674551*c_1100_0^5 + 917366185597341220/576548339674551*c_1100_0^4 - 561149904989401370/576548339674551*c_1100_0^3 + 229566376257755642/576548339674551*c_1100_0^2 - 16848138467164150/192182779891517*c_1100_0 + 3466024332073268/576548339674551, c_0011_13 + 75635685675358/576548339674551*c_1100_0^11 - 749208319673434/576548339674551*c_1100_0^10 + 2931103656621400/576548339674551*c_1100_0^9 - 11316865855694888/576548339674551*c_1100_0^8 + 20546648940528638/192182779891517*c_1100_0^7 - 231261726994225664/576548339674551*c_1100_0^6 + 491810435478401861/576548339674551*c_1100_0^5 - 553200509913097111/576548339674551*c_1100_0^4 + 350938121507660845/576548339674551*c_1100_0^3 - 51744595153400571/192182779891517*c_1100_0^2 + 36886765249905529/576548339674551*c_1100_0 - 915302591768535/192182779891517, c_0011_14 + 124670591729420/1729645019023653*c_1100_0^11 - 1394105806215298/1729645019023653*c_1100_0^10 + 6207320771945077/1729645019023653*c_1100_0^9 - 7698784913148001/576548339674551*c_1100_0^8 + 119896488070860724/1729645019023653*c_1100_0^7 - 488084950176103990/1729645019023653*c_1100_0^6 + 1163532777161714237/1729645019023653*c_1100_0^5 - 502644686514696830/576548339674551*c_1100_0^4 + 1010320544181244567/1729645019023653*c_1100_0^3 - 477996633544501442/1729645019023653*c_1100_0^2 + 116098009644786653/1729645019023653*c_1100_0 - 7035129337830815/1729645019023653, c_0101_0 - 626207670921815/1729645019023653*c_1100_0^11 + 5569172021939806/1729645019023653*c_1100_0^10 - 18831442946467306/1729645019023653*c_1100_0^9 + 25458004479432323/576548339674551*c_1100_0^8 - 438678536135038066/1729645019023653*c_1100_0^7 + 1493855851764432022/1729645019023653*c_1100_0^6 - 2695034363161068974/1729645019023653*c_1100_0^5 + 766720521259437772/576548339674551*c_1100_0^4 - 1337437884358846372/1729645019023653*c_1100_0^3 + 487897213211023679/1729645019023653*c_1100_0^2 - 95711781748834643/1729645019023653*c_1100_0 + 6615685056968747/1729645019023653, c_0101_1 - 351122284744624/576548339674551*c_1100_0^11 + 3081050510909554/576548339674551*c_1100_0^10 - 10188191970238873/576548339674551*c_1100_0^9 + 41570155375078952/576548339674551*c_1100_0^8 - 80300595476902606/192182779891517*c_1100_0^7 + 808465330302762767/576548339674551*c_1100_0^6 - 1411771381969560974/576548339674551*c_1100_0^5 + 1111185472109203963/576548339674551*c_1100_0^4 - 600656695034653285/576548339674551*c_1100_0^3 + 64016783590066147/192182779891517*c_1100_0^2 - 27685177567965040/576548339674551*c_1100_0 + 394253102703801/192182779891517, c_0101_11 - 345007670413880/576548339674551*c_1100_0^11 + 1006517891279576/192182779891517*c_1100_0^10 - 3316706382454091/192182779891517*c_1100_0^9 + 40688698167779231/576548339674551*c_1100_0^8 - 236000680692147974/576548339674551*c_1100_0^7 + 789924312402007447/576548339674551*c_1100_0^6 - 458177320800886317/192182779891517*c_1100_0^5 + 1077963123756917941/576548339674551*c_1100_0^4 - 198129849002438693/192182779891517*c_1100_0^3 + 194057302137650539/576548339674551*c_1100_0^2 - 30138720044623610/576548339674551*c_1100_0 + 1727962708069807/576548339674551, c_0101_12 - 314644327614574/1729645019023653*c_1100_0^11 + 2888325692984345/1729645019023653*c_1100_0^10 - 10241773594111406/1729645019023653*c_1100_0^9 + 13632429211500095/576548339674551*c_1100_0^8 - 230786597634978059/1729645019023653*c_1100_0^7 + 811188124326891149/1729645019023653*c_1100_0^6 - 1554469989916402468/1729645019023653*c_1100_0^5 + 498201068682360409/576548339674551*c_1100_0^4 - 918047485496924606/1729645019023653*c_1100_0^3 + 371829977380979119/1729645019023653*c_1100_0^2 - 84580984068802543/1729645019023653*c_1100_0 + 6570521633344303/1729645019023653, c_0101_16 - 171729040975204/192182779891517*c_1100_0^11 + 4543515135851383/576548339674551*c_1100_0^10 - 15153407783868085/576548339674551*c_1100_0^9 + 61694617298278039/576548339674551*c_1100_0^8 - 356287612859498603/576548339674551*c_1100_0^7 + 400793204650533571/192182779891517*c_1100_0^6 - 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