Magma V2.19-8 Wed Aug 21 2013 01:07:58 on localhost [Seed = 2034196566] Type ? for help. Type -D to quit. Loading file "L14n37612__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n37612 geometric_solution 11.20636594 oriented_manifold CS_known 0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 1 0 1 0 0 0 0 0 0 -1 1 -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 1 0 4 -5 4 0 0 -4 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.224342255416 0.673570350894 0 5 7 6 0132 0132 0132 0132 0 1 1 0 0 0 0 0 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 -1 0 1 -1 0 1 0 5 -5 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.728721892901 0.702391016029 8 0 9 4 0132 0132 0132 2310 0 0 1 0 0 0 0 0 1 0 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 -4 0 0 4 0 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.599680875195 1.255854236042 8 5 10 0 1302 1230 0132 0132 0 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 0 0 0 0 0 4 -4 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.161886180094 0.709009704302 2 11 0 10 3201 0132 0132 0132 0 1 0 0 0 0 0 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 1 0 -1 -5 0 5 0 0 0 0 0 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.961301818754 0.334822201700 10 1 3 11 0321 0132 3012 2103 0 0 0 1 0 0 0 0 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 1 -1 0 0 0 0 0 1 -4 0 3 -4 5 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.599680875195 1.255854236042 8 12 1 7 2310 0132 0132 3120 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 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 1.431594156647 0.689242721781 6 9 12 1 3120 2103 3201 0132 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 -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 0.178650651742 0.610978026211 2 3 6 12 0132 2031 3201 2103 1 0 0 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 1 0 -1 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 0.728721892901 0.702391016029 10 7 11 2 1230 2103 3201 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 0.002998854405 0.993564030825 5 9 4 3 0321 3012 0132 0132 0 1 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 -1 1 0 4 0 0 -4 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.210601743783 1.467848817765 9 4 12 5 2310 0132 1023 2103 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 -1 4 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.503235828787 0.501500946829 7 6 11 8 2310 0132 1023 2103 0 0 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 0 0 0 0 0 -4 4 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.783798427466 0.583044982231 ==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' : negation(d['c_0011_9']), 'c_1001_10' : negation(d['c_0011_9']), 'c_1001_12' : negation(d['c_0011_7']), 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : negation(d['c_1001_1']), 'c_1001_7' : d['c_0011_9'], 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0101_10']), 'c_1001_3' : negation(d['c_0101_9']), 'c_1001_2' : negation(d['c_1001_1']), 'c_1001_9' : d['c_0011_7'], 'c_1001_8' : negation(d['c_0101_0']), 'c_1010_12' : negation(d['c_0011_3']), 'c_1010_11' : negation(d['c_1001_1']), 'c_1010_10' : negation(d['c_0101_9']), 's_0_10' : d['1'], 's_3_10' : 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_7']), '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' : 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_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' : 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_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_9'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0011_12']), 'c_1100_6' : negation(d['c_0011_12']), 'c_1100_1' : negation(d['c_0011_12']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_0011_11']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_10'], 'c_1100_10' : d['c_1100_0'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : negation(d['c_0011_7']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0011_9']), 'c_1010_3' : negation(d['c_0101_10']), 'c_1010_2' : negation(d['c_0101_10']), 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : negation(d['c_1001_1']), 'c_1010_9' : negation(d['c_1001_1']), 'c_1010_8' : d['c_0011_3'], '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' : negation(d['c_0011_10']), '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_9'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_12']), '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' : negation(d['c_0101_9']), 'c_0110_10' : negation(d['c_0011_0']), 'c_0110_12' : negation(d['c_0011_12']), 'c_0101_12' : negation(d['c_0011_9']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0011_12'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0101_10']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0011_10'], '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_1']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_10'], 'c_0110_8' : d['c_0011_10'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0011_11']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : negation(d['c_0011_10']), 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_1'], 'c_1100_8' : d['c_0011_12']})} 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_12, c_0011_3, c_0011_7, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_9, c_1001_1, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 3050514672196585626521536/894285423273285331317*c_1100_0^10 - 3834317511488337677117848/894285423273285331317*c_1100_0^9 + 64353020190090183605476/52605024898428548901*c_1100_0^8 + 20849802199312009835112916/894285423273285331317*c_1100_0^7 - 1216692725838077068290217/298095141091095110439*c_1100_0^6 - 575491076057413709324183/17535008299476182967*c_1100_0^5 + 30675753981130936081043291/1788570846546570662634*c_1100_0^4 + 90101813395728686987557331/1788570846546570662634*c_1100_0^3 - 41204463313746606836893324/894285423273285331317*c_1100_0^2 - 1187107235575444139721103/1788570846546570662634*c_1100_0 + 17453103108651395950436501/1788570846546570662634, c_0011_0 - 1, c_0011_10 + 3831359844992/18954696081267*c_1100_0^10 + 4572446806816/18954696081267*c_1100_0^9 - 2911141505680/18954696081267*c_1100_0^8 - 9656446552112/6318232027089*c_1100_0^7 + 3837873290372/18954696081267*c_1100_0^6 + 43676053513372/18954696081267*c_1100_0^5 - 1528115425080/2106077342363*c_1100_0^4 - 20721031108324/6318232027089*c_1100_0^3 + 53779646123560/18954696081267*c_1100_0^2 + 7842224563579/18954696081267*c_1100_0 + 619031529470/18954696081267, c_0011_11 + 8689909096528/18954696081267*c_1100_0^10 + 21910086061928/18954696081267*c_1100_0^9 + 18015584011048/18954696081267*c_1100_0^8 - 16715680253458/6318232027089*c_1100_0^7 - 60562639062482/18954696081267*c_1100_0^6 + 46725251630693/18954696081267*c_1100_0^5 + 4530866678773/2106077342363*c_1100_0^4 - 42472715155229/6318232027089*c_1100_0^3 - 37074553570687/18954696081267*c_1100_0^2 + 42797747118929/18954696081267*c_1100_0 + 12500585235253/18954696081267, c_0011_12 - 3943231143904/18954696081267*c_1100_0^10 - 8294794658384/18954696081267*c_1100_0^9 - 4392101327872/18954696081267*c_1100_0^8 + 9330293265628/6318232027089*c_1100_0^7 + 23976247070216/18954696081267*c_1100_0^6 - 24040309816910/18954696081267*c_1100_0^5 - 2047603049638/2106077342363*c_1100_0^4 + 15240094762268/6318232027089*c_1100_0^3 + 4554710219869/18954696081267*c_1100_0^2 - 19657294627547/18954696081267*c_1100_0 - 12211630154491/18954696081267, c_0011_3 - 3531503421488/6318232027089*c_1100_0^10 - 6786390352024/6318232027089*c_1100_0^9 - 3624881432072/6318232027089*c_1100_0^8 + 7125372202918/2106077342363*c_1100_0^7 + 10519175258254/6318232027089*c_1100_0^6 - 23963507456269/6318232027089*c_1100_0^5 + 85928824513/2106077342363*c_1100_0^4 + 15373100309088/2106077342363*c_1100_0^3 - 14535494662171/6318232027089*c_1100_0^2 - 2403955650601/6318232027089*c_1100_0 + 1627737019657/6318232027089, c_0011_7 + 13109722803040/18954696081267*c_1100_0^10 + 24486043968704/18954696081267*c_1100_0^9 + 8089229242312/18954696081267*c_1100_0^8 - 30278428243324/6318232027089*c_1100_0^7 - 44322399802250/18954696081267*c_1100_0^6 + 112565261115134/18954696081267*c_1100_0^5 + 2564555644355/2106077342363*c_1100_0^4 - 64855580652302/6318232027089*c_1100_0^3 + 47917296750068/18954696081267*c_1100_0^2 + 55700548414244/18954696081267*c_1100_0 + 23933338165006/18954696081267, c_0011_9 - 1506527272832/18954696081267*c_1100_0^10 - 5330380525792/18954696081267*c_1100_0^9 - 10464685001840/18954696081267*c_1100_0^8 - 879937019008/6318232027089*c_1100_0^7 + 10997322367204/18954696081267*c_1100_0^6 + 18210259941128/18954696081267*c_1100_0^5 + 113124785956/2106077342363*c_1100_0^4 + 1226931052648/6318232027089*c_1100_0^3 + 28086407537147/18954696081267*c_1100_0^2 + 21371825640752/18954696081267*c_1100_0 + 2410316171656/18954696081267, c_0101_0 - 1, c_0101_1 - 3531503421488/6318232027089*c_1100_0^10 - 6786390352024/6318232027089*c_1100_0^9 - 3624881432072/6318232027089*c_1100_0^8 + 7125372202918/2106077342363*c_1100_0^7 + 10519175258254/6318232027089*c_1100_0^6 - 23963507456269/6318232027089*c_1100_0^5 + 85928824513/2106077342363*c_1100_0^4 + 15373100309088/2106077342363*c_1100_0^3 - 14535494662171/6318232027089*c_1100_0^2 - 2403955650601/6318232027089*c_1100_0 + 1627737019657/6318232027089, c_0101_10 + 4222503437152/18954696081267*c_1100_0^10 + 11035441765712/18954696081267*c_1100_0^9 + 9306675769120/18954696081267*c_1100_0^8 - 7962256705948/6318232027089*c_1100_0^7 - 31143157027352/18954696081267*c_1100_0^6 + 21012335390150/18954696081267*c_1100_0^5 + 1584292988892/2106077342363*c_1100_0^4 - 23458927313264/6318232027089*c_1100_0^3 - 13827203512156/18954696081267*c_1100_0^2 + 27816251432030/18954696081267*c_1100_0 + 1243918079260/18954696081267, c_0101_9 - 8689909096528/18954696081267*c_1100_0^10 - 21910086061928/18954696081267*c_1100_0^9 - 18015584011048/18954696081267*c_1100_0^8 + 16715680253458/6318232027089*c_1100_0^7 + 60562639062482/18954696081267*c_1100_0^6 - 46725251630693/18954696081267*c_1100_0^5 - 4530866678773/2106077342363*c_1100_0^4 + 42472715155229/6318232027089*c_1100_0^3 + 37074553570687/18954696081267*c_1100_0^2 - 42797747118929/18954696081267*c_1100_0 - 12500585235253/18954696081267, c_1001_1 - 3831359844992/18954696081267*c_1100_0^10 - 4572446806816/18954696081267*c_1100_0^9 + 2911141505680/18954696081267*c_1100_0^8 + 9656446552112/6318232027089*c_1100_0^7 - 3837873290372/18954696081267*c_1100_0^6 - 43676053513372/18954696081267*c_1100_0^5 + 1528115425080/2106077342363*c_1100_0^4 + 20721031108324/6318232027089*c_1100_0^3 - 53779646123560/18954696081267*c_1100_0^2 - 7842224563579/18954696081267*c_1100_0 - 619031529470/18954696081267, c_1100_0^11 + 3/2*c_1100_0^10 - 55/8*c_1100_0^8 - 1/2*c_1100_0^7 + 153/16*c_1100_0^6 - 5/2*c_1100_0^5 - 249/16*c_1100_0^4 + 19/2*c_1100_0^3 + 23/8*c_1100_0^2 - 15/8*c_1100_0 - 17/16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.670 Total time: 0.880 seconds, Total memory usage: 32.09MB