Magma V2.19-8 Tue Aug 20 2013 23:44:22 on localhost [Seed = 1545222616] Type ? for help. Type -D to quit. Loading file "L14n32877__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n32877 geometric_solution 9.93964460 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 0 0 1 2 1302 2031 0132 0132 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 -2 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 -0.166481076167 1.707698547566 2 3 4 0 1302 0132 0132 0132 0 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 0 0 0 0 0 -2 0 2 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 0.229423153634 0.556691379914 5 1 0 4 0132 2031 0132 0132 0 0 1 0 0 0 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 1 -2 1 0 0 0 0 -3 1 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.229423153634 0.556691379914 4 1 6 7 0321 0132 0132 0132 0 1 1 0 0 -1 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 0 2 -1 -1 -2 0 0 2 0 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.575765373041 0.902906144037 3 5 2 1 0321 2103 0132 0132 0 0 1 1 0 -1 1 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 -1 0 0 0 0 0 0 0 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.016636311416 1.245325015833 2 4 8 9 0132 2103 0132 0132 1 0 0 1 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 -1 0 1 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.575765373041 0.902906144037 8 9 9 3 0213 3012 1230 0132 0 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 -1 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 0.368749345839 0.998346742158 10 9 3 8 0132 3120 0132 1302 0 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 1 -1 0 0 -2 2 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.282800372979 0.674451559482 6 10 7 5 0213 2310 2031 0132 1 0 1 1 0 0 0 0 0 0 0 0 0 -1 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 -1 0 1 0 0 -3 0 3 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.282800372979 0.674451559482 6 7 5 6 1230 3120 0132 3012 1 0 1 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 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 0.368749345839 0.998346742158 7 10 10 8 0132 1230 3012 3201 1 1 1 1 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 3 -1 -2 0 0 -3 3 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.471263756954 1.260984842133 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_0011_10']), 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : d['c_0011_1'], 'c_1001_7' : d['c_1001_1'], 'c_1001_6' : negation(d['c_0011_9']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : d['c_0011_0'], 'c_1001_9' : negation(d['c_1001_1']), 'c_1001_8' : negation(d['c_0101_10']), 'c_1010_10' : d['c_0101_10'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : 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' : 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_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' : d['1'], 'c_1100_9' : d['c_0011_9'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0011_9'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_0011_6'], 'c_1100_6' : d['c_0011_6'], 'c_1100_1' : d['c_1100_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_0011_6'], 'c_1100_2' : d['c_1100_0'], 'c_1100_10' : d['c_0011_10'], 'c_1010_7' : negation(d['c_0011_9']), 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : negation(d['c_1001_1']), 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_1001_1'], 'c_1010_2' : d['c_0011_1'], 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : d['c_0011_0'], 'c_1010_9' : d['c_0011_10'], 'c_1010_8' : d['c_0011_4'], 'c_1100_8' : d['c_0011_9'], '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' : negation(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_10']), 'c_0011_5' : d['c_0011_1'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_10']), 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : negation(d['c_0011_1']), 'c_0110_10' : negation(d['c_0011_4']), 'c_0101_7' : negation(d['c_0011_4']), 'c_0101_6' : negation(d['c_0011_10']), 'c_0101_5' : negation(d['c_0101_3']), 'c_0101_4' : negation(d['c_0101_3']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0101_9' : d['c_0101_2'], 'c_0101_8' : d['c_0011_6'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_6'], 'c_0110_8' : negation(d['c_0101_3']), 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0101_2'], 'c_0110_3' : negation(d['c_0011_4']), 'c_0110_2' : negation(d['c_0101_3']), 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0011_1'], 'c_0110_7' : d['c_0101_10'], 'c_0110_6' : d['c_0101_3']})} 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_1, c_0011_10, c_0011_4, c_0011_6, c_0011_9, c_0101_10, c_0101_2, c_0101_3, c_1001_1, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 49027448492767086/2475763629832133*c_1100_0^11 + 43390195073796908503/222818726684891970*c_1100_0^10 + 190486586068395524393/222818726684891970*c_1100_0^9 + 34284716933466489580/22281872668489197*c_1100_0^8 - 20574096456048749159/22281872668489197*c_1100_0^7 - 192001045902283666094/22281872668489197*c_1100_0^6 - 243099383738896926653/74272908894963990*c_1100_0^5 + 4136364431009191091219/222818726684891970*c_1100_0^4 + 4097237445062792979151/222818726684891970*c_1100_0^3 - 4129423996937995841603/74272908894963990*c_1100_0^2 + 916578196269170704309/24757636298321330*c_1100_0 - 1771451829043686897857/222818726684891970, c_0011_0 - 1, c_0011_1 - 1, c_0011_10 - 13123252213196/35673827519195*c_1100_0^11 - 128573840550391/35673827519195*c_1100_0^10 - 112343791607383/7134765503839*c_1100_0^9 - 199578928116849/7134765503839*c_1100_0^8 + 130632073710843/7134765503839*c_1100_0^7 + 5688125902039793/35673827519195*c_1100_0^6 + 1919667069860292/35673827519195*c_1100_0^5 - 12496702661690597/35673827519195*c_1100_0^4 - 11741206577003447/35673827519195*c_1100_0^3 + 37587274853790688/35673827519195*c_1100_0^2 - 25618098683950301/35673827519195*c_1100_0 + 1101000570527507/7134765503839, c_0011_4 - 1774927969900/7134765503839*c_1100_0^11 - 86809327375331/35673827519195*c_1100_0^10 - 378256534010276/35673827519195*c_1100_0^9 - 133235973367574/7134765503839*c_1100_0^8 + 93188492510073/7134765503839*c_1100_0^7 + 774764707203101/7134765503839*c_1100_0^6 + 1260873266743933/35673827519195*c_1100_0^5 - 8568015416093918/35673827519195*c_1100_0^4 - 7982578985945977/35673827519195*c_1100_0^3 + 25594945783540368/35673827519195*c_1100_0^2 - 17357623105958542/35673827519195*c_1100_0 + 3738748494845719/35673827519195, c_0011_6 - 11938066339993/71347655038390*c_1100_0^11 - 116123090457997/71347655038390*c_1100_0^10 - 251039222733167/35673827519195*c_1100_0^9 - 172924779169207/14269531007678*c_1100_0^8 + 69232776293565/7134765503839*c_1100_0^7 + 2603478127183897/35673827519195*c_1100_0^6 + 1389554804126813/71347655038390*c_1100_0^5 - 11812116322245013/71347655038390*c_1100_0^4 - 10226728612480919/71347655038390*c_1100_0^3 + 35413021129034201/71347655038390*c_1100_0^2 - 24682494610111411/71347655038390*c_1100_0 + 2660691225443903/35673827519195, c_0011_9 + 11938066339993/71347655038390*c_1100_0^11 + 116123090457997/71347655038390*c_1100_0^10 + 251039222733167/35673827519195*c_1100_0^9 + 172924779169207/14269531007678*c_1100_0^8 - 69232776293565/7134765503839*c_1100_0^7 - 2603478127183897/35673827519195*c_1100_0^6 - 1389554804126813/71347655038390*c_1100_0^5 + 11812116322245013/71347655038390*c_1100_0^4 + 10226728612480919/71347655038390*c_1100_0^3 - 35413021129034201/71347655038390*c_1100_0^2 + 24682494610111411/71347655038390*c_1100_0 - 2660691225443903/35673827519195, c_0101_10 - 3957124283035/14269531007678*c_1100_0^11 - 191071432885749/71347655038390*c_1100_0^10 - 817007712912319/71347655038390*c_1100_0^9 - 271396005486285/14269531007678*c_1100_0^8 + 133629584403849/7134765503839*c_1100_0^7 + 1753297790190967/14269531007678*c_1100_0^6 + 922937514641361/35673827519195*c_1100_0^5 - 10145755161855696/35673827519195*c_1100_0^4 - 16428109259334153/71347655038390*c_1100_0^3 + 30232987856162991/35673827519195*c_1100_0^2 - 42930193447230443/71347655038390*c_1100_0 + 9422240460840501/71347655038390, c_0101_2 - 887463984950/7134765503839*c_1100_0^11 - 86809327375331/71347655038390*c_1100_0^10 - 189128267005138/35673827519195*c_1100_0^9 - 66617986683787/7134765503839*c_1100_0^8 + 93188492510073/14269531007678*c_1100_0^7 + 774764707203101/14269531007678*c_1100_0^6 + 1260873266743933/71347655038390*c_1100_0^5 - 4284007708046959/35673827519195*c_1100_0^4 - 7982578985945977/71347655038390*c_1100_0^3 + 12797472891770184/35673827519195*c_1100_0^2 - 17321949278439347/71347655038390*c_1100_0 + 1851537333663262/35673827519195, c_0101_3 + 887463984950/7134765503839*c_1100_0^11 + 86809327375331/71347655038390*c_1100_0^10 + 189128267005138/35673827519195*c_1100_0^9 + 66617986683787/7134765503839*c_1100_0^8 - 93188492510073/14269531007678*c_1100_0^7 - 774764707203101/14269531007678*c_1100_0^6 - 1260873266743933/71347655038390*c_1100_0^5 + 4284007708046959/35673827519195*c_1100_0^4 + 7982578985945977/71347655038390*c_1100_0^3 - 12797472891770184/35673827519195*c_1100_0^2 + 17393296933477737/71347655038390*c_1100_0 - 1851537333663262/35673827519195, c_1001_1 - 887463984950/7134765503839*c_1100_0^11 - 86809327375331/71347655038390*c_1100_0^10 - 189128267005138/35673827519195*c_1100_0^9 - 66617986683787/7134765503839*c_1100_0^8 + 93188492510073/14269531007678*c_1100_0^7 + 774764707203101/14269531007678*c_1100_0^6 + 1260873266743933/71347655038390*c_1100_0^5 - 4284007708046959/35673827519195*c_1100_0^4 - 7982578985945977/71347655038390*c_1100_0^3 + 12797472891770184/35673827519195*c_1100_0^2 - 17393296933477737/71347655038390*c_1100_0 + 1851537333663262/35673827519195, c_1100_0^12 + 9*c_1100_0^11 + 35*c_1100_0^10 + 42*c_1100_0^9 - 110*c_1100_0^8 - 393*c_1100_0^7 + 199*c_1100_0^6 + 1065*c_1100_0^5 + 134*c_1100_0^4 - 3568*c_1100_0^3 + 4246*c_1100_0^2 - 2003*c_1100_0 + 347 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.080 Total time: 0.290 seconds, Total memory usage: 32.09MB