Magma V2.19-8 Tue Aug 20 2013 23:38:17 on localhost [Seed = 1393899390] Type ? for help. Type -D to quit. Loading file "K12n472__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K12n472 geometric_solution 8.72155498 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 10 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 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 -1 0 1 19 0 -19 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.198488059574 1.508800641392 0 5 4 6 0132 0132 0213 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 0 -1 1 0 0 0 0 -19 0 0 19 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.035809267408 0.676815346779 5 0 6 3 0132 0132 2310 3120 0 0 0 0 0 0 0 0 -1 0 1 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 19 0 -19 0 -18 0 0 18 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.035809267408 0.676815346779 2 4 7 0 3120 2031 0132 0132 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 -18 -1 0 19 1 18 -19 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.479558470913 0.797804556483 3 1 0 7 1302 0213 0132 0132 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 0 0 0 0 1 -1 0 -18 0 0 18 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.479558470913 0.797804556483 2 1 8 9 0132 0132 0132 0132 0 0 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 0 0 0 -19 0 19 0 0 0 0 0 18 0 -18 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.335197191780 1.390673554476 8 2 1 9 0132 3201 0132 3201 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 -1 0 0 0 0 0 0 0 0 0 0 19 -19 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.060577572691 0.497705229353 9 8 4 3 3120 0213 0132 0132 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 0 0 0 18 0 -18 0 0 -19 0 19 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.617608869580 0.440121029209 6 9 7 5 0132 3012 0213 0132 0 0 0 0 0 0 0 0 0 0 -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 19 -19 0 -18 0 18 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.634003685585 1.214134427405 8 6 5 7 1230 2310 0132 3120 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 0 0 0 0 0 0 0 18 0 0 -18 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.634003685585 1.214134427405 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : negation(d['c_0011_9']), 'c_1001_6' : negation(d['c_0101_2']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0011_3']), 'c_1001_3' : negation(d['c_0101_7']), 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : d['c_1001_1'], 'c_1001_8' : negation(d['c_0011_9']), 's_2_8' : d['1'], 's_2_9' : d['1'], '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' : negation(d['1']), 's_2_6' : negation(d['1']), 's_2_7' : d['1'], 's_0_8' : negation(d['1']), 's_0_9' : d['1'], 's_0_6' : negation(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_1100_9' : negation(d['c_0101_7']), 'c_1100_8' : negation(d['c_0101_7']), 'c_1100_5' : negation(d['c_0101_7']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : negation(d['c_0011_9']), 'c_1100_1' : negation(d['c_0011_9']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0011_6'], 'c_1010_7' : negation(d['c_0101_7']), 'c_1010_6' : negation(d['c_1001_1']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0011_9']), 'c_1010_3' : negation(d['c_0011_3']), 'c_1010_2' : negation(d['c_0011_3']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : negation(d['c_0011_7']), 'c_1010_8' : negation(d['c_0101_2']), 's_3_1' : negation(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' : negation(d['1']), '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' : 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_6']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_7' : d['c_0011_7'], '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_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : negation(d['c_0011_6']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_3']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_2'], 'c_0101_8' : d['c_0011_7'], 'c_0110_9' : negation(d['c_0011_6']), 'c_0110_8' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_3']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_7'], 'c_0110_7' : negation(d['c_0011_6']), 'c_0110_6' : d['c_0011_7']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_6, c_0011_7, c_0011_9, c_0101_0, c_0101_2, c_0101_7, c_1001_1, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 96286334343/4483697526698*c_1100_0^11 - 1750514017684/2241848763349*c_1100_0^10 + 15416353047461/4483697526698*c_1100_0^9 + 114419077803638/2241848763349*c_1100_0^8 + 364183362919001/2241848763349*c_1100_0^7 + 384286569459580/2241848763349*c_1100_0^6 - 613753666568183/4483697526698*c_1100_0^5 - 2340503034212381/4483697526698*c_1100_0^4 - 2226755793679015/4483697526698*c_1100_0^3 - 357447186699800/2241848763349*c_1100_0^2 + 49641243808386/2241848763349*c_1100_0 + 3183772624171/344899809746, c_0011_0 - 1, c_0011_3 - 5603693935/14995643902*c_1100_0^11 + 125372384433/29991287804*c_1100_0^10 + 962462507531/29991287804*c_1100_0^9 + 1986960526489/29991287804*c_1100_0^8 + 337411808285/29991287804*c_1100_0^7 - 1035975245436/7497821951*c_1100_0^6 - 2729852794979/14995643902*c_1100_0^5 - 675233615109/14995643902*c_1100_0^4 + 1368917078623/29991287804*c_1100_0^3 - 47146188809/7497821951*c_1100_0^2 - 997518796443/29991287804*c_1100_0 - 160869233289/29991287804, c_0011_6 - 729518814/7497821951*c_1100_0^11 + 15054860647/14995643902*c_1100_0^10 + 70210209523/7497821951*c_1100_0^9 + 355741517727/14995643902*c_1100_0^8 + 200103857301/14995643902*c_1100_0^7 - 590604011913/14995643902*c_1100_0^6 - 1102869246431/14995643902*c_1100_0^5 - 264296421965/7497821951*c_1100_0^4 + 89639982661/7497821951*c_1100_0^3 + 28108600478/7497821951*c_1100_0^2 - 100564649344/7497821951*c_1100_0 - 78527856259/14995643902, c_0011_7 - 10240234053/29991287804*c_1100_0^11 + 56625511473/14995643902*c_1100_0^10 + 222840607537/7497821951*c_1100_0^9 + 980736830299/14995643902*c_1100_0^8 + 699605845735/29991287804*c_1100_0^7 - 899997707527/7497821951*c_1100_0^6 - 1432735692866/7497821951*c_1100_0^5 - 2413040550813/29991287804*c_1100_0^4 + 920765503893/29991287804*c_1100_0^3 + 187304704437/29991287804*c_1100_0^2 - 472496657605/14995643902*c_1100_0 - 412814811439/29991287804, c_0011_9 + 729518814/7497821951*c_1100_0^11 - 15054860647/14995643902*c_1100_0^10 - 70210209523/7497821951*c_1100_0^9 - 355741517727/14995643902*c_1100_0^8 - 200103857301/14995643902*c_1100_0^7 + 590604011913/14995643902*c_1100_0^6 + 1102869246431/14995643902*c_1100_0^5 + 264296421965/7497821951*c_1100_0^4 - 89639982661/7497821951*c_1100_0^3 - 28108600478/7497821951*c_1100_0^2 + 100564649344/7497821951*c_1100_0 + 78527856259/14995643902, c_0101_0 + 7184720725/29991287804*c_1100_0^11 - 38968695029/14995643902*c_1100_0^10 - 322892039281/14995643902*c_1100_0^9 - 366011517054/7497821951*c_1100_0^8 - 536091155303/29991287804*c_1100_0^7 + 1367281577037/14995643902*c_1100_0^6 + 1068248900370/7497821951*c_1100_0^5 + 1601289330791/29991287804*c_1100_0^4 - 847910585551/29991287804*c_1100_0^3 - 54282886595/29991287804*c_1100_0^2 + 188532418210/7497821951*c_1100_0 + 217749123205/29991287804, c_0101_2 + 1622993891/14995643902*c_1100_0^11 - 8961839261/7497821951*c_1100_0^10 - 70959462545/7497821951*c_1100_0^9 - 154508315221/7497821951*c_1100_0^8 - 84871636751/14995643902*c_1100_0^7 + 310059233464/7497821951*c_1100_0^6 + 445114311904/7497821951*c_1100_0^5 + 256069697763/14995643902*c_1100_0^4 - 233940589981/14995643902*c_1100_0^3 - 3100293477/14995643902*c_1100_0^2 + 84994627666/7497821951*c_1100_0 + 33889365161/14995643902, c_0101_7 - 2728067819/29991287804*c_1100_0^11 + 16347148495/14995643902*c_1100_0^10 + 52093390929/7497821951*c_1100_0^9 + 158120022565/14995643902*c_1100_0^8 - 196251582711/29991287804*c_1100_0^7 - 233621283422/7497821951*c_1100_0^6 - 159100517577/7497821951*c_1100_0^5 + 315966846241/29991287804*c_1100_0^4 + 324173117347/29991287804*c_1100_0^3 - 209983308757/29991287804*c_1100_0^2 - 53281158489/14995643902*c_1100_0 + 60531653991/29991287804, c_1001_1 + 7184720725/29991287804*c_1100_0^11 - 38968695029/14995643902*c_1100_0^10 - 322892039281/14995643902*c_1100_0^9 - 366011517054/7497821951*c_1100_0^8 - 536091155303/29991287804*c_1100_0^7 + 1367281577037/14995643902*c_1100_0^6 + 1068248900370/7497821951*c_1100_0^5 + 1601289330791/29991287804*c_1100_0^4 - 847910585551/29991287804*c_1100_0^3 - 54282886595/29991287804*c_1100_0^2 + 188532418210/7497821951*c_1100_0 + 217749123205/29991287804, c_1100_0^12 - 10*c_1100_0^11 - 99*c_1100_0^10 - 281*c_1100_0^9 - 252*c_1100_0^8 + 315*c_1100_0^7 + 930*c_1100_0^6 + 743*c_1100_0^5 + 65*c_1100_0^4 - 122*c_1100_0^3 + 102*c_1100_0^2 + 126*c_1100_0 + 23 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.060 Total time: 0.270 seconds, Total memory usage: 32.09MB