Magma V2.19-8 Wed Aug 21 2013 01:00:44 on localhost [Seed = 4190102255] Type ? for help. Type -D to quit. Loading file "L13n9799__sl2_c7.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n9799 geometric_solution 12.73802309 oriented_manifold CS_known -0.0000000000000001 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 1 1 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 0 0 0 0 0 0 0 0 -4 -1 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.446058732246 0.630603789108 0 5 6 5 0132 0132 0132 2310 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 -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 0.870500332886 0.744613898800 2 0 2 6 2310 0132 3201 0132 1 1 1 1 0 -1 1 0 -1 0 1 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 4 -4 0 4 0 -4 0 4 0 0 -4 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.701060674728 1.166876130665 7 8 8 0 0132 0132 1302 0132 1 1 1 2 0 0 0 0 0 0 0 0 0 0 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.591205803323 0.901764325003 9 9 0 9 0132 1230 0132 2031 1 1 0 1 0 0 1 -1 0 0 0 0 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -5 4 0 0 0 0 2 1 0 -3 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.439587922222 1.117274104895 1 1 10 11 3201 0132 0132 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 0.429497618486 0.539103356941 9 8 2 1 3120 0213 0132 0132 1 1 1 1 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 0 0 1 0 0 0 0 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.446058732246 0.630603789108 3 11 12 11 0132 3120 0132 1023 1 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.244343520507 1.069947358594 3 3 6 12 2031 0132 0213 2031 1 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 1 0 0 -1 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.491524747279 0.775575680200 4 4 4 6 0132 1302 3012 3120 1 1 1 0 0 0 1 -1 0 0 0 0 -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 0 -4 4 0 0 -1 1 4 -4 0 0 -2 3 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.695056510898 0.775056471314 12 11 12 5 0213 3012 1023 0132 1 1 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 0 0 0 1 0 -1 -3 -1 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.244343520507 1.069947358594 10 7 5 7 1230 3120 0132 1023 1 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 -1 0 0 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 0.244343520507 1.069947358594 10 8 10 7 0213 1302 1023 0132 1 1 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 1 0 -1 0 0 0 0 0 0 0 0 3 1 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.244343520507 1.069947358594 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_1'], 'c_1001_11' : d['c_1001_1'], 'c_1001_10' : d['c_0011_10'], 'c_1001_12' : d['c_0011_12'], 'c_1001_5' : negation(d['c_0101_11']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_7' : negation(d['c_1001_1']), '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_0011_12'], 'c_1001_2' : negation(d['c_0101_2']), 'c_1001_9' : negation(d['c_0011_4']), 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : negation(d['c_1001_1']), 'c_1010_11' : d['c_0011_3'], 'c_1010_10' : negation(d['c_0101_11']), 's_0_10' : negation(d['1']), 's_3_10' : negation(d['1']), 's_0_12' : negation(d['1']), 's_3_12' : negation(d['1']), 's_2_8' : d['1'], 'c_0101_12' : d['c_0011_10'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_12'], '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' : negation(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' : d['1'], 's_0_9' : negation(d['1']), 's_0_6' : d['1'], 's_0_7' : negation(d['1']), 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : negation(d['c_0011_10']), 'c_1100_8' : d['c_1001_1'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1100_10'], 'c_1100_4' : d['c_0011_6'], 'c_1100_7' : negation(d['c_1100_10']), 'c_1100_6' : d['c_0011_0'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0011_6'], 'c_1100_3' : d['c_0011_6'], 'c_1100_2' : d['c_0011_0'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1100_10'], 'c_1100_10' : d['c_1100_10'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_10'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0011_4']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_11']), 'c_1010_0' : negation(d['c_0101_2']), 'c_1010_9' : negation(d['c_0011_6']), 'c_1010_8' : d['c_0011_12'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_7' : d['1'], 's_3_6' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_1100_10']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_1_9' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_4']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : d['c_0011_6'], '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' : negation(d['c_0101_0']), 'c_0110_12' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : negation(d['c_0101_2']), 'c_0101_5' : negation(d['c_0101_0']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_4']), 'c_0101_8' : d['c_0011_6'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0011_12'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0101_2'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_2']), 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : negation(d['c_0011_4']), 'c_0110_7' : d['c_0011_3'], 'c_0011_10' : d['c_0011_10'], '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_12, c_0011_3, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_1001_0, c_1001_1, c_1100_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 58909022606751974493852063/51399517331591895506500096*c_1100_10^11 - 9744883546002406250863/7907618051014137770230784*c_1100_10^10 + 67857128997497561644545591/205598069326367582026000384*c_1100_10^9 + 618390969942194513584409363/411196138652735164052000768*c_1100_10^8 - 122820128035210939603982279/12849879332897973876625024*c_1100_10^\ 7 + 482718818809833978219420497/411196138652735164052000768*c_1100_\ 10^6 + 572649178597178517631252181/7907618051014137770230784*c_1100\ _10^5 + 1303002099746409766517928089/31630472204056551080923136*c_1\ 100_10^4 + 10142216953746312446604970879/20559806932636758202600038\ 4*c_1100_10^3 + 38450297497457946163332228569/205598069326367582026\ 000384*c_1100_10^2 - 16350869081829041374256066795/2055980693263675\ 82026000384*c_1100_10 - 69512893626998348450997441073/4111961386527\ 35164052000768, c_0011_0 - 1, c_0011_10 + 5503463771794641/385871786931008656*c_1100_10^11 + 11421728254327181/771743573862017312*c_1100_10^10 + 42158716320882375/1543487147724034624*c_1100_10^9 - 66257324822578461/3086974295448069248*c_1100_10^8 + 11282354420426151/96467946732752164*c_1100_10^7 + 198791567440604161/3086974295448069248*c_1100_10^6 - 479010412398702447/771743573862017312*c_1100_10^5 - 4631094211834954379/3086974295448069248*c_1100_10^4 - 4430587994145839633/1543487147724034624*c_1100_10^3 - 6884658451945975095/1543487147724034624*c_1100_10^2 - 6261528036066580283/1543487147724034624*c_1100_10 - 9960154588787715489/3086974295448069248, c_0011_12 - 1, c_0011_3 - 1, c_0011_4 - 1, c_0011_6 - 6705738857026435/192935893465504328*c_1100_10^11 - 10532185559055399/385871786931008656*c_1100_10^10 - 23838822810390805/771743573862017312*c_1100_10^9 + 54115211220756919/1543487147724034624*c_1100_10^8 - 51114750225061443/192935893465504328*c_1100_10^7 - 212901064117848907/1543487147724034624*c_1100_10^6 + 731356457389616713/385871786931008656*c_1100_10^5 + 4367292289595515233/1543487147724034624*c_1100_10^4 + 3821172542583457263/771743573862017312*c_1100_10^3 + 7308853910705469625/771743573862017312*c_1100_10^2 + 4833499087718631661/771743573862017312*c_1100_10 + 3290923530795690139/1543487147724034624, c_0101_0 + 227987337621975/385871786931008656*c_1100_10^11 + 1653114905145083/771743573862017312*c_1100_10^10 - 6207416938101551/1543487147724034624*c_1100_10^9 + 11517367599806997/3086974295448069248*c_1100_10^8 - 176290879135241/96467946732752164*c_1100_10^7 + 109837976590237991/3086974295448069248*c_1100_10^6 - 67815621699356217/771743573862017312*c_1100_10^5 - 273944961791825645/3086974295448069248*c_1100_10^4 + 5826722237496521/1543487147724034624*c_1100_10^3 - 138948278390416737/1543487147724034624*c_1100_10^2 + 489128598740032611/1543487147724034624*c_1100_10 + 55078321543364665/3086974295448069248, c_0101_1 + 9219115124586349/771743573862017312*c_1100_10^11 + 25312503698631993/1543487147724034624*c_1100_10^10 + 53703131556973387/3086974295448069248*c_1100_10^9 - 59058842791107977/6173948590896138496*c_1100_10^8 + 14387588108994169/192935893465504328*c_1100_10^7 + 651403393521280285/6173948590896138496*c_1100_10^6 - 963673415226027715/1543487147724034624*c_1100_10^5 - 8443595808764213503/6173948590896138496*c_1100_10^4 - 7811415137049885325/3086974295448069248*c_1100_10^3 - 12452982692328110395/3086974295448069248*c_1100_10^2 - 12046792880635326703/3086974295448069248*c_1100_10 - 15201045468543684733/6173948590896138496, c_0101_11 + 1386159434075173/192935893465504328*c_1100_10^11 - 2833791912904751/385871786931008656*c_1100_10^10 + 9333024907747859/771743573862017312*c_1100_10^9 - 17910269430767649/1543487147724034624*c_1100_10^8 + 1885528827675266/24116986683188041*c_1100_10^7 - 156546238413837323/1543487147724034624*c_1100_10^6 - 125755681557780683/385871786931008656*c_1100_10^5 + 190783271377021945/1543487147724034624*c_1100_10^4 - 544768647459378917/771743573862017312*c_1100_10^3 - 901204036854059747/771743573862017312*c_1100_10^2 + 175609512814618201/771743573862017312*c_1100_10 - 817242528198795061/1543487147724034624, c_0101_2 - 17603840303519391/771743573862017312*c_1100_10^11 - 16816238537589603/1543487147724034624*c_1100_10^10 - 41652159684589833/3086974295448069248*c_1100_10^9 + 157402002091919699/6173948590896138496*c_1100_10^8 - 18363581058033637/96467946732752164*c_1100_10^7 - 200200862950115343/6173948590896138496*c_1100_10^6 + 1961752414332439137/1543487147724034624*c_1100_10^5 + 9025573349617847429/6173948590896138496*c_1100_10^4 + 7473275033283943727/3086974295448069248*c_1100_10^3 + 16782432950493768105/3086974295448069248*c_1100_10^2 + 7287203470239199941/3086974295448069248*c_1100_10 - 2037351345360924177/6173948590896138496, c_1001_0 - 13639465051674845/385871786931008656*c_1100_10^11 - 22717486023255881/771743573862017312*c_1100_10^10 - 41470228682680059/1543487147724034624*c_1100_10^9 + 96713054841706841/3086974295448069248*c_1100_10^8 - 50762168466790961/192935893465504328*c_1100_10^7 - 535640104825935805/3086974295448069248*c_1100_10^6 + 1530528536478589643/771743573862017312*c_1100_10^5 + 9008529540982856111/3086974295448069248*c_1100_10^4 + 7636518362929418005/1543487147724034624*c_1100_10^3 + 14756656099801355987/1543487147724034624*c_1100_10^2 + 9177869576697230711/1543487147724034624*c_1100_10 + 6526768740048015613/3086974295448069248, c_1001_1 - 227987337621975/385871786931008656*c_1100_10^11 - 1653114905145083/771743573862017312*c_1100_10^10 + 6207416938101551/1543487147724034624*c_1100_10^9 - 11517367599806997/3086974295448069248*c_1100_10^8 + 176290879135241/96467946732752164*c_1100_10^7 - 109837976590237991/3086974295448069248*c_1100_10^6 + 67815621699356217/771743573862017312*c_1100_10^5 + 273944961791825645/3086974295448069248*c_1100_10^4 - 5826722237496521/1543487147724034624*c_1100_10^3 + 138948278390416737/1543487147724034624*c_1100_10^2 - 489128598740032611/1543487147724034624*c_1100_10 - 55078321543364665/3086974295448069248, c_1100_10^12 + 3/2*c_1100_10^11 + 5/4*c_1100_10^10 - 3/8*c_1100_10^9 + 57/8*c_1100_10^8 + 81/8*c_1100_10^7 - 425/8*c_1100_10^6 - 975/8*c_1100_10^5 - 1491/8*c_1100_10^4 - 725/2*c_1100_10^3 - 360*c_1100_10^2 - 1299/8*c_1100_10 - 307/8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB