Magma V2.19-8 Tue Aug 20 2013 23:40:31 on localhost [Seed = 2749744939] Type ? for help. Type -D to quit. Loading file "L11a374__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L11a374 geometric_solution 10.42671214 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 1 2 3 0132 1302 0132 0132 1 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 0 0 0 0 1 0 -1 3 0 0 -3 0 1 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.524500176570 0.836622456527 0 4 5 0 0132 0132 0132 2031 1 1 0 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 1 0 -1 -3 0 4 -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 0.513478092218 0.903443664366 6 6 5 0 0132 1230 3120 0132 1 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 0 0 0 0 0 0 0 0 0 0 0 -4 3 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.447983054465 0.703668968247 7 6 0 8 0132 1302 0132 0132 1 1 1 1 0 0 0 0 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 0 1 -1 -3 0 3 0 0 0 0 0 3 -4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.535479807411 0.631599984440 9 1 9 10 0132 0132 3012 0132 1 1 1 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 -1 1 0 0 0 4 -4 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.675203261001 0.542953567744 10 10 2 1 3120 2103 3120 0132 1 1 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 0 0 0 0 0 0 0 4 0 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.404944471531 0.669335334465 2 9 2 3 0132 1302 3012 2031 1 1 1 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 -4 0 4 4 -1 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.356197106858 1.011252798642 3 7 7 8 0132 1230 3012 1230 1 1 1 1 0 -1 1 0 -1 0 1 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 3 -3 0 3 0 -3 0 -3 3 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.956485162780 1.298738338921 7 10 3 9 3012 3012 0132 3012 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 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 1.165931421196 0.535606698879 4 4 8 6 0132 1230 1230 2031 1 1 0 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 0 0 0 0 0 0 0 0 -4 0 4 0 0 0 0 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.811400542618 1.356395451634 8 5 4 5 1230 2103 0132 3120 1 1 1 1 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 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.977077855752 0.950688538730 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0011_5'], 'c_1001_5' : d['c_0011_10'], 'c_1001_4' : d['c_0011_0'], 'c_1001_7' : d['c_0011_3'], 'c_1001_6' : negation(d['c_0011_2']), 'c_1001_1' : d['c_0011_5'], 'c_1001_0' : d['c_0101_0'], 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : negation(d['c_0011_10']), 'c_1001_9' : d['c_0101_5'], 'c_1001_8' : negation(d['c_0011_10']), 'c_1010_10' : negation(d['c_0011_5']), 's_0_10' : negation(d['1']), 's_3_10' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(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' : negation(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_3']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0101_2']), 'c_1100_4' : negation(d['c_0101_5']), 'c_1100_7' : negation(d['c_0011_3']), 'c_1100_6' : d['c_0011_10'], 'c_1100_1' : negation(d['c_0101_2']), 'c_1100_0' : negation(d['c_0101_5']), 'c_1100_3' : negation(d['c_0101_5']), 'c_1100_2' : negation(d['c_0101_5']), 'c_1100_10' : negation(d['c_0101_5']), 'c_1010_7' : d['c_0101_7'], 'c_1010_6' : d['c_0011_3'], 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : d['c_0011_5'], 'c_1010_3' : negation(d['c_0011_10']), 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0011_0'], 'c_1010_0' : d['c_0101_2'], 'c_1010_9' : negation(d['c_0011_2']), 'c_1010_8' : negation(d['c_0101_10']), 'c_1100_8' : negation(d['c_0101_5']), 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(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' : 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' : negation(d['1']), 'c_0011_9' : negation(d['c_0011_0']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : negation(d['c_0011_2']), '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' : d['c_0011_2'], 'c_0110_10' : d['c_0011_8'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_2']), 'c_0101_3' : d['c_0011_8'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_8'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : d['c_0101_7'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_2']), 'c_0110_8' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_8'], 'c_0110_3' : d['c_0101_7'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0011_8'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0011_8'], 'c_0110_6' : d['c_0101_2']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_2, c_0011_3, c_0011_5, c_0011_8, c_0101_0, c_0101_10, c_0101_2, c_0101_5, c_0101_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 3749397885502933153101/641686046372347100*c_0101_7^11 - 6861943925224708525649/641686046372347100*c_0101_7^10 + 164060546123471897523/3377294980907090*c_0101_7^9 - 84681090206421798196711/641686046372347100*c_0101_7^8 + 6205350090365665523239/32084302318617355*c_0101_7^7 - 270684771727081521653011/641686046372347100*c_0101_7^6 + 557521497852315385863811/641686046372347100*c_0101_7^5 - 69922423465209314194141/64168604637234710*c_0101_7^4 + 574587912878916250318331/641686046372347100*c_0101_7^3 - 322277721992741290216803/641686046372347100*c_0101_7^2 + 21933426396084127854233/128337209274469420*c_0101_7 - 8171139384186677710363/320843023186173550, c_0011_0 - 1, c_0011_10 + 6550644975139/3481747402997*c_0101_7^11 - 142999489873359/13926989611988*c_0101_7^10 + 68098088655243/3481747402997*c_0101_7^9 - 655612143960375/6963494805994*c_0101_7^8 + 1055749356510769/6963494805994*c_0101_7^7 - 864354807156615/3481747402997*c_0101_7^6 + 2195555023556579/3481747402997*c_0101_7^5 - 12864550048462959/13926989611988*c_0101_7^4 + 2908636637872042/3481747402997*c_0101_7^3 - 7177271561308793/13926989611988*c_0101_7^2 + 676059949624459/3481747402997*c_0101_7 - 457642516167397/13926989611988, c_0011_2 + 670513518689703/13926989611988*c_0101_7^11 - 736501647282857/13926989611988*c_0101_7^10 + 5313991196166347/13926989611988*c_0101_7^9 - 11439329553344133/13926989611988*c_0101_7^8 + 15925980076651775/13926989611988*c_0101_7^7 - 40584380109695099/13926989611988*c_0101_7^6 + 18690635709609423/3481747402997*c_0101_7^5 - 42450316225611069/6963494805994*c_0101_7^4 + 65036951393088443/13926989611988*c_0101_7^3 - 33551849496136347/13926989611988*c_0101_7^2 + 5197421662311687/6963494805994*c_0101_7 - 361311987721824/3481747402997, c_0011_3 - 101112241956171/6963494805994*c_0101_7^11 + 105190986905517/6963494805994*c_0101_7^10 - 794667596282951/6963494805994*c_0101_7^9 + 840378513871108/3481747402997*c_0101_7^8 - 1149846892652505/3481747402997*c_0101_7^7 + 5995977683170913/6963494805994*c_0101_7^6 - 5467624646614394/3481747402997*c_0101_7^5 + 12165043489317807/6963494805994*c_0101_7^4 - 4576228153968186/3481747402997*c_0101_7^3 + 2303688127705277/3481747402997*c_0101_7^2 - 1375574200234935/6963494805994*c_0101_7 + 90043364905372/3481747402997, c_0011_5 + 178673162674197/13926989611988*c_0101_7^11 - 227970523556037/13926989611988*c_0101_7^10 + 1410545264817857/13926989611988*c_0101_7^9 - 821609298167725/3481747402997*c_0101_7^8 + 4481290108493031/13926989611988*c_0101_7^7 - 2778768334260692/3481747402997*c_0101_7^6 + 10638636352049263/6963494805994*c_0101_7^5 - 24210304305183985/13926989611988*c_0101_7^4 + 18426321587098341/13926989611988*c_0101_7^3 - 9426357218423459/13926989611988*c_0101_7^2 + 1402201510017891/6963494805994*c_0101_7 - 343909635674617/13926989611988, c_0011_8 - 1, c_0101_0 + 41866565370355/3481747402997*c_0101_7^11 - 141585418104178/3481747402997*c_0101_7^10 + 1507139690632341/13926989611988*c_0101_7^9 - 2880218611886403/6963494805994*c_0101_7^8 + 8679974205495539/13926989611988*c_0101_7^7 - 8078792715397185/6963494805994*c_0101_7^6 + 37924167879218731/13926989611988*c_0101_7^5 - 12898898346013568/3481747402997*c_0101_7^4 + 11238152070914873/3481747402997*c_0101_7^3 - 13336553662770867/6963494805994*c_0101_7^2 + 9624575112699785/13926989611988*c_0101_7 - 771162306080943/6963494805994, c_0101_10 - 75509857529999/6963494805994*c_0101_7^11 + 122178107451495/6963494805994*c_0101_7^10 - 1273121502962203/13926989611988*c_0101_7^9 + 3167126073856289/13926989611988*c_0101_7^8 - 4853476405429141/13926989611988*c_0101_7^7 + 10678444325409663/13926989611988*c_0101_7^6 - 21225234892234287/13926989611988*c_0101_7^5 + 27074192669984593/13926989611988*c_0101_7^4 - 11314516400944793/6963494805994*c_0101_7^3 + 6496658911470649/6963494805994*c_0101_7^2 - 4633085374429331/13926989611988*c_0101_7 + 753236940034089/13926989611988, c_0101_2 - 85024479117050/3481747402997*c_0101_7^11 + 294902906485509/6963494805994*c_0101_7^10 - 2785867855953337/13926989611988*c_0101_7^9 + 7442082116774523/13926989611988*c_0101_7^8 - 10653612428095475/13926989611988*c_0101_7^7 + 23876391903705319/13926989611988*c_0101_7^6 - 48673552369186249/13926989611988*c_0101_7^5 + 59733505125121923/13926989611988*c_0101_7^4 - 24245955422039265/6963494805994*c_0101_7^3 + 13395121151958625/6963494805994*c_0101_7^2 - 8944362194267835/13926989611988*c_0101_7 + 1336016097300089/13926989611988, c_0101_5 - 7969433177318/3481747402997*c_0101_7^11 + 58171742735089/13926989611988*c_0101_7^10 - 73424201683856/3481747402997*c_0101_7^9 + 358299660045575/6963494805994*c_0101_7^8 - 318166154323395/3481747402997*c_0101_7^7 + 633231029459013/3481747402997*c_0101_7^6 - 2529017759923233/6963494805994*c_0101_7^5 + 7202578628256479/13926989611988*c_0101_7^4 - 3233633482636525/6963494805994*c_0101_7^3 + 4031259859173335/13926989611988*c_0101_7^2 - 802839121692167/6963494805994*c_0101_7 + 296211820216753/13926989611988, c_0101_7^12 - 52/23*c_0101_7^11 + 210/23*c_0101_7^10 - 603/23*c_0101_7^9 + 990/23*c_0101_7^8 - 2003/23*c_0101_7^7 + 4153/23*c_0101_7^6 - 5805/23*c_0101_7^5 + 5463/23*c_0101_7^4 - 3594/23*c_0101_7^3 + 1595/23*c_0101_7^2 - 423/23*c_0101_7 + 50/23 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.250 seconds, Total memory usage: 32.09MB