Magma V2.19-8 Tue Aug 20 2013 23:44:52 on localhost [Seed = 981229467] Type ? for help. Type -D to quit. Loading file "K13n2102__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n2102 geometric_solution 11.26839562 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 -1 1 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 13 -12 -1 0 0 -12 12 0 0 0 0 13 -13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.738325682643 0.962811181566 0 5 7 6 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 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 -13 13 -13 12 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.706254176488 1.056784499266 8 0 9 6 0132 0132 0132 2310 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 -13 0 13 0 0 1 -1 0 13 0 -13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.174440871278 0.758688922892 8 5 10 0 2310 1230 0132 0132 0 0 0 0 0 1 0 -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 0 0 0 0 0 -12 0 12 0 0 -12 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.826357958498 0.926676853115 5 8 0 10 0132 0132 0132 2310 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 0 1 -1 12 0 -12 0 -12 0 0 12 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.824693887626 0.772285966382 4 1 3 9 0132 0132 3012 2310 0 0 0 0 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 0 0 -12 0 12 0 1 0 0 -1 12 -12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.229930040288 0.783913192366 2 11 1 10 3201 0132 0132 0132 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 0 0 0 13 0 -13 0 -13 0 0 13 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.601767257125 0.950612021154 9 11 10 1 2310 1023 2310 0132 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 -1 1 0 0 0 -13 13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.437802614661 0.978208450711 2 4 3 11 0132 0132 3201 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.486023011589 0.760346201466 5 11 7 2 3201 0213 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 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 -0.014801962043 0.875991218702 4 7 6 3 3201 3201 0132 0132 0 0 0 0 0 0 0 0 1 0 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 0 -12 0 0 12 1 -1 0 0 0 13 -13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.588369277228 0.192810062725 7 6 9 8 1023 0132 0213 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.447106549323 1.130809594402 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_7']), 'c_1001_10' : negation(d['c_0101_7']), 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0011_9'], 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : negation(d['c_0101_10']), 'c_1001_3' : negation(d['c_0011_9']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0101_7']), 'c_1001_8' : negation(d['c_0101_3']), 'c_1010_11' : negation(d['c_0011_3']), 'c_1010_10' : negation(d['c_0011_9']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_9'], '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_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_1100_9' : negation(d['c_0011_11']), 'c_1100_8' : negation(d['c_0011_3']), 'c_1100_5' : d['c_0011_9'], 'c_1100_4' : d['c_0011_10'], 'c_1100_7' : d['c_0011_10'], 'c_1100_6' : d['c_0011_10'], 'c_1100_1' : d['c_0011_10'], 'c_1100_0' : d['c_0011_10'], 'c_1100_3' : d['c_0011_10'], 'c_1100_2' : negation(d['c_0011_11']), 's_3_11' : d['1'], 'c_1100_11' : d['c_1001_2'], 'c_1100_10' : d['c_0011_10'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_2']), 'c_1010_6' : negation(d['c_0101_7']), 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : negation(d['c_0101_3']), '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' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_1001_2'], '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'], '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_0']), 'c_0011_7' : d['c_0011_11'], 'c_0011_6' : negation(d['c_0011_11']), '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_2']), 'c_0110_10' : d['c_0101_3'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], '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' : d['c_0101_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_0101_1']), 'c_0101_8' : negation(d['c_0101_0']), 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_0']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_10']), 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_3, c_0101_7, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 2768235757357/56286025*c_1001_2^12 + 9685319606313/56286025*c_1001_2^11 + 4565817424992/11257205*c_1001_2^10 + 74376321324842/56286025*c_1001_2^9 + 153734264060793/56286025*c_1001_2^8 + 313291869540902/56286025*c_1001_2^7 + 449256117474618/56286025*c_1001_2^6 + 544477428090061/56286025*c_1001_2^5 + 507825921431054/56286025*c_1001_2^4 + 365626084315513/56286025*c_1001_2^3 + 215401579653273/56286025*c_1001_2^2 + 77499772340484/56286025*c_1001_2 + 27583809808038/56286025, c_0011_0 - 1, c_0011_10 + 34226/47903*c_1001_2^12 + 119371/47903*c_1001_2^11 + 272008/47903*c_1001_2^10 + 882657/47903*c_1001_2^9 + 1819659/47903*c_1001_2^8 + 3628404/47903*c_1001_2^7 + 5030123/47903*c_1001_2^6 + 5783314/47903*c_1001_2^5 + 4977463/47903*c_1001_2^4 + 3355829/47903*c_1001_2^3 + 1691824/47903*c_1001_2^2 + 616398/47903*c_1001_2 + 141564/47903, c_0011_11 - 18913/47903*c_1001_2^12 - 81019/47903*c_1001_2^11 - 207990/47903*c_1001_2^10 - 615876/47903*c_1001_2^9 - 1406887/47903*c_1001_2^8 - 2873575/47903*c_1001_2^7 - 4426544/47903*c_1001_2^6 - 5556354/47903*c_1001_2^5 - 5182219/47903*c_1001_2^4 - 3831676/47903*c_1001_2^3 - 1949881/47903*c_1001_2^2 - 730830/47903*c_1001_2 - 144994/47903, c_0011_3 - 4632/47903*c_1001_2^12 - 30308/47903*c_1001_2^11 - 111154/47903*c_1001_2^10 - 291089/47903*c_1001_2^9 - 715436/47903*c_1001_2^8 - 1695886/47903*c_1001_2^7 - 2870230/47903*c_1001_2^6 - 4202050/47903*c_1001_2^5 - 4304560/47903*c_1001_2^4 - 3654010/47903*c_1001_2^3 - 2129361/47903*c_1001_2^2 - 920868/47903*c_1001_2 - 256759/47903, c_0011_9 + 35606/47903*c_1001_2^12 + 130138/47903*c_1001_2^11 + 301649/47903*c_1001_2^10 + 956598/47903*c_1001_2^9 + 2029084/47903*c_1001_2^8 + 4036608/47903*c_1001_2^7 + 5725153/47903*c_1001_2^6 + 6665399/47903*c_1001_2^5 + 5848887/47903*c_1001_2^4 + 3950785/47903*c_1001_2^3 + 1964961/47903*c_1001_2^2 + 667368/47903*c_1001_2 + 115428/47903, c_0101_0 + 17027/47903*c_1001_2^12 + 80675/47903*c_1001_2^11 + 178658/47903*c_1001_2^10 + 510033/47903*c_1001_2^9 + 1256398/47903*c_1001_2^8 + 2248632/47903*c_1001_2^7 + 3412799/47903*c_1001_2^6 + 3480600/47903*c_1001_2^5 + 2902278/47903*c_1001_2^4 + 1584673/47903*c_1001_2^3 + 569034/47903*c_1001_2^2 + 134238/47903*c_1001_2 - 30060/47903, c_0101_1 + 11660/47903*c_1001_2^12 + 61815/47903*c_1001_2^11 + 149085/47903*c_1001_2^10 + 408143/47903*c_1001_2^9 + 1049556/47903*c_1001_2^8 + 1964035/47903*c_1001_2^7 + 3114259/47903*c_1001_2^6 + 3631847/47903*c_1001_2^5 + 3307114/47903*c_1001_2^4 + 2358264/47903*c_1001_2^3 + 1153278/47903*c_1001_2^2 + 491059/47903*c_1001_2 + 112408/47903, c_0101_10 + 27225/47903*c_1001_2^12 + 92136/47903*c_1001_2^11 + 190607/47903*c_1001_2^10 + 625111/47903*c_1001_2^9 + 1275635/47903*c_1001_2^8 + 2400601/47903*c_1001_2^7 + 2986668/47903*c_1001_2^6 + 2993093/47903*c_1001_2^5 + 2054332/47903*c_1001_2^4 + 992596/47903*c_1001_2^3 + 320693/47903*c_1001_2^2 + 15207/47903*c_1001_2 - 3264/47903, c_0101_2 - 1380/47903*c_1001_2^12 - 10767/47903*c_1001_2^11 - 29641/47903*c_1001_2^10 - 73941/47903*c_1001_2^9 - 209425/47903*c_1001_2^8 - 408204/47903*c_1001_2^7 - 695030/47903*c_1001_2^6 - 882085/47903*c_1001_2^5 - 871424/47903*c_1001_2^4 - 594956/47903*c_1001_2^3 - 321040/47903*c_1001_2^2 - 50970/47903*c_1001_2 - 21767/47903, c_0101_3 + 6012/47903*c_1001_2^12 + 41075/47903*c_1001_2^11 + 140795/47903*c_1001_2^10 + 365030/47903*c_1001_2^9 + 924861/47903*c_1001_2^8 + 2104090/47903*c_1001_2^7 + 3565260/47903*c_1001_2^6 + 5084135/47903*c_1001_2^5 + 5175984/47903*c_1001_2^4 + 4248966/47903*c_1001_2^3 + 2450401/47903*c_1001_2^2 + 971838/47903*c_1001_2 + 278526/47903, c_0101_7 + 11319/47903*c_1001_2^12 - 13429/47903*c_1001_2^11 - 68353/47903*c_1001_2^10 - 29904/47903*c_1001_2^9 - 541511/47903*c_1001_2^8 - 934368/47903*c_1001_2^7 - 2479201/47903*c_1001_2^6 - 3013624/47903*c_1001_2^5 - 3458153/47903*c_1001_2^4 - 2471720/47903*c_1001_2^3 - 1359385/47903*c_1001_2^2 - 553533/47903*c_1001_2 - 83576/47903, c_1001_2^13 + 4*c_1001_2^12 + 10*c_1001_2^11 + 31*c_1001_2^10 + 69*c_1001_2^9 + 141*c_1001_2^8 + 219*c_1001_2^7 + 278*c_1001_2^6 + 282*c_1001_2^5 + 224*c_1001_2^4 + 144*c_1001_2^3 + 67*c_1001_2^2 + 24*c_1001_2 + 5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.740 Total time: 0.940 seconds, Total memory usage: 32.09MB