Magma V2.19-8 Tue Aug 20 2013 23:44:02 on localhost [Seed = 593839817] Type ? for help. Type -D to quit. Loading file "K13n1678__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n1678 geometric_solution 10.39744480 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 12 1 2 3 1 0132 0132 0132 2031 0 0 0 0 0 0 0 0 0 0 -1 1 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 -1 1 0 0 -2 2 0 1 0 -1 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.517825725612 0.957176402952 0 0 5 4 0132 1302 0132 0132 0 0 0 0 0 -1 1 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 -2 2 0 0 0 0 0 3 -1 0 -2 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.562769109374 0.808200656029 6 0 6 3 0132 0132 3012 0132 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 3 0 -3 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 0.449438743090 0.502239097633 7 8 2 0 0132 0132 0132 0132 0 0 0 0 0 0 0 0 -1 0 0 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 -1 0 1 -2 0 0 2 3 0 0 -3 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.172988308633 1.310152421639 7 6 1 9 3012 0213 0132 0132 0 0 0 0 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 -3 0 3 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.032078215716 1.042359600777 10 8 9 1 0132 2310 0132 0132 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 2 0 -2 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 -0.860488342055 0.560682149191 2 2 4 10 0132 1230 0213 1023 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 3 0 -3 -3 0 3 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 0.991355992048 0.904345761040 3 11 11 4 0132 0132 1023 1230 0 0 0 0 0 0 0 0 1 0 -1 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 2 0 -2 0 -2 0 0 2 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.046265153041 1.099435680439 11 3 9 5 0132 0132 2310 3201 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 1 -1 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 0 0 0 0.582085180569 1.679554114609 10 8 4 5 1023 3201 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 0 0 0 0 0 0 0 -1 1 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.382950553790 0.867256646688 5 9 11 6 0132 1023 1230 1023 0 0 0 0 0 0 0 0 0 0 -1 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 0 -3 3 0 1 0 -1 1 -3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.139511657945 0.560682149191 8 7 7 10 0132 0132 1023 3012 0 0 0 0 0 0 1 -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 0 2 -2 0 0 0 0 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.061741095479 0.381894764270 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_0'], 'c_1001_10' : d['c_0101_9'], 'c_1001_5' : negation(d['c_1001_0']), 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : negation(d['c_0101_1']), 'c_1001_6' : d['c_1001_4'], 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_0'], 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : negation(d['c_0101_8']), 'c_1001_8' : d['c_1001_0'], 'c_1010_11' : negation(d['c_0101_1']), 'c_1010_10' : d['c_0101_2'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0101_1']), 'c_0101_10' : d['c_0101_1'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(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' : negation(d['1']), 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(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_1100_5' : d['c_1100_1'], 'c_1100_4' : d['c_1100_1'], 'c_1100_7' : d['c_0101_9'], 'c_1100_6' : negation(d['c_0101_8']), 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : negation(d['c_1001_4']), 'c_1100_3' : negation(d['c_1001_4']), 'c_1100_2' : negation(d['c_1001_4']), 's_3_11' : d['1'], 'c_1100_9' : d['c_1100_1'], 'c_1100_11' : negation(d['c_0101_9']), 'c_1100_10' : d['c_0101_8'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_0'], 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : negation(d['c_0101_8']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : negation(d['c_1001_0']), 'c_1010_8' : d['c_1001_0'], 'c_1100_8' : d['c_0011_10'], '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' : negation(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_10'], 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : d['c_0011_0'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_11'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_8'], 'c_0110_10' : d['c_0101_2'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0011_4'], 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_8'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_4'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_9'], 'c_0110_7' : d['c_0011_4'], 'c_0110_6' : d['c_0101_2']})} 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_4, c_0101_0, c_0101_1, c_0101_2, c_0101_8, c_0101_9, c_1001_0, c_1001_4, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 71/399*c_1001_4*c_1100_1 + 2/399*c_1001_4 + 25/399*c_1100_1 - 85/399, c_0011_0 - 1, c_0011_10 + c_1001_4*c_1100_1 + c_1001_4 - 2*c_1100_1 - 1, c_0011_11 + 1, c_0011_4 + c_1001_4*c_1100_1 - c_1001_4 + 1, c_0101_0 - c_1001_4 + 1, c_0101_1 + c_1100_1, c_0101_2 + c_1001_4*c_1100_1 + c_1001_4 - c_1100_1, c_0101_8 + c_1001_4 - 2*c_1100_1 - 2, c_0101_9 + 2*c_1100_1 + 1, c_1001_0 - c_1100_1 - 1, c_1001_4^2 - 2*c_1001_4*c_1100_1 - 3*c_1001_4 + 3*c_1100_1 + 2, c_1100_1^2 + c_1100_1 + 1 ], 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_4, c_0101_0, c_0101_1, c_0101_2, c_0101_8, c_0101_9, c_1001_0, c_1001_4, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 21666725439053187176682149859/32346406724724071755370848*c_1100_1^1\ 2 - 198147211383508101624856954099/64692813449448143510741696*c_110\ 0_1^11 + 133486486534511605611189624241/16173203362362035877685424*\ c_1100_1^10 - 1141766973367886193232321110633/646928134494481435107\ 41696*c_1100_1^9 - 329566439514019292947709637225/32346406724724071\ 755370848*c_1100_1^8 + 7534325942211558027908601199955/646928134494\ 48143510741696*c_1100_1^7 - 1284991677449287072830335946811/4043300\ 840590508969421356*c_1100_1^6 + 40914592479942204925145234865309/64\ 692813449448143510741696*c_1100_1^5 - 19127112500897263690566130165243/32346406724724071755370848*c_1100_\ 1^4 - 2852868969373823363190746749343/16173203362362035877685424*c_\ 1100_1^3 + 36849040621553038192758556928499/32346406724724071755370\ 848*c_1100_1^2 + 47627315681533933743438743942045/64692813449448143\ 510741696*c_1100_1 - 617923357060796378455839060397/161732033623620\ 35877685424, c_0011_0 - 1, c_0011_10 + 1434489844353994174307/367572803690046269947396*c_1100_1^12 - 12327454396173260080051/735145607380092539894792*c_1100_1^11 + 7915184175861567304841/183786401845023134973698*c_1100_1^10 - 65297235037024713541369/735145607380092539894792*c_1100_1^9 - 33221019494409535179437/367572803690046269947396*c_1100_1^8 + 492704768580144860434643/735145607380092539894792*c_1100_1^7 - 153613255308153136676691/91893200922511567486849*c_1100_1^6 + 2314556996146896496751357/735145607380092539894792*c_1100_1^5 - 850042741683895067591099/367572803690046269947396*c_1100_1^4 - 436586221169213638407803/183786401845023134973698*c_1100_1^3 + 2488012471850076131918799/367572803690046269947396*c_1100_1^2 + 4432033355582524581971277/735145607380092539894792*c_1100_1 + 75397557557562071682527/183786401845023134973698, c_0011_11 + 1880919638204456859/183786401845023134973698*c_1100_1^12 - 151591704364557931859/367572803690046269947396*c_1100_1^11 + 145717223169830563098/91893200922511567486849*c_1100_1^10 - 1845712995776201298409/367572803690046269947396*c_1100_1^9 + 1146368569145260587617/183786401845023134973698*c_1100_1^8 + 6129266393434902488523/367572803690046269947396*c_1100_1^7 - 6991389113018733203249/91893200922511567486849*c_1100_1^6 + 78062125268973630326673/367572803690046269947396*c_1100_1^5 - 42499347113010673687421/183786401845023134973698*c_1100_1^4 - 1120280361269424457395/91893200922511567486849*c_1100_1^3 + 101085256731921015093695/183786401845023134973698*c_1100_1^2 - 474749999154888532705147/367572803690046269947396*c_1100_1 - 16787823529000641089668/91893200922511567486849, c_0011_4 - 238641460308765213261/367572803690046269947396*c_1100_1^12 + 2043897857146762952493/735145607380092539894792*c_1100_1^11 - 1289242008723470327533/183786401845023134973698*c_1100_1^10 + 11667226308186103802263/735145607380092539894792*c_1100_1^9 + 3755404779366104022223/367572803690046269947396*c_1100_1^8 - 72367993967632703541781/735145607380092539894792*c_1100_1^7 + 23379047615741506366934/91893200922511567486849*c_1100_1^6 - 419216989379824257814131/735145607380092539894792*c_1100_1^5 + 225501273480162987048581/367572803690046269947396*c_1100_1^4 - 8123959585830330971723/183786401845023134973698*c_1100_1^3 - 319840177416824365249553/367572803690046269947396*c_1100_1^2 - 735524312251670553433619/735145607380092539894792*c_1100_1 - 149043102582229058460205/183786401845023134973698, c_0101_0 - 45059903602124787694/91893200922511567486849*c_1100_1^12 + 176747593668480450001/91893200922511567486849*c_1100_1^11 - 426982400299618739557/91893200922511567486849*c_1100_1^10 + 927167390922451066549/91893200922511567486849*c_1100_1^9 + 1122776487147709334852/91893200922511567486849*c_1100_1^8 - 6132185005333071212289/91893200922511567486849*c_1100_1^7 + 14025361038768648596538/91893200922511567486849*c_1100_1^6 - 31652521033560838228945/91893200922511567486849*c_1100_1^5 + 24208238318124156330284/91893200922511567486849*c_1100_1^4 - 7465882976462961590208/91893200922511567486849*c_1100_1^3 + 6320829116105533911869/91893200922511567486849*c_1100_1^2 - 130685263737739254351872/91893200922511567486849*c_1100_1 - 53427306101885805017315/91893200922511567486849, c_0101_1 - 27363943150827891617/183786401845023134973698*c_1100_1^12 + 364226808190943132265/367572803690046269947396*c_1100_1^11 - 288887527148214226306/91893200922511567486849*c_1100_1^10 + 2642046714211685156859/367572803690046269947396*c_1100_1^9 - 603470079988239993935/183786401845023134973698*c_1100_1^8 - 14413788236287887294201/367572803690046269947396*c_1100_1^7 + 12442761079065183906981/91893200922511567486849*c_1100_1^6 - 110838000343529198522939/367572803690046269947396*c_1100_1^5 + 61049961186191479945973/183786401845023134973698*c_1100_1^4 + 7339810815770923565773/91893200922511567486849*c_1100_1^3 - 153116875281931627749503/183786401845023134973698*c_1100_1^2 + 399543229350611392910173/367572803690046269947396*c_1100_1 + 34146082855835896309443/91893200922511567486849, c_0101_2 - 1434489844353994174307/367572803690046269947396*c_1100_1^12 + 12327454396173260080051/735145607380092539894792*c_1100_1^11 - 7915184175861567304841/183786401845023134973698*c_1100_1^10 + 65297235037024713541369/735145607380092539894792*c_1100_1^9 + 33221019494409535179437/367572803690046269947396*c_1100_1^8 - 492704768580144860434643/735145607380092539894792*c_1100_1^7 + 153613255308153136676691/91893200922511567486849*c_1100_1^6 - 2314556996146896496751357/735145607380092539894792*c_1100_1^5 + 850042741683895067591099/367572803690046269947396*c_1100_1^4 + 436586221169213638407803/183786401845023134973698*c_1100_1^3 - 2488012471850076131918799/367572803690046269947396*c_1100_1^2 - 4432033355582524581971277/735145607380092539894792*c_1100_1 - 75397557557562071682527/183786401845023134973698, c_0101_8 + 1880919638204456859/183786401845023134973698*c_1100_1^12 - 151591704364557931859/367572803690046269947396*c_1100_1^11 + 145717223169830563098/91893200922511567486849*c_1100_1^10 - 1845712995776201298409/367572803690046269947396*c_1100_1^9 + 1146368569145260587617/183786401845023134973698*c_1100_1^8 + 6129266393434902488523/367572803690046269947396*c_1100_1^7 - 6991389113018733203249/91893200922511567486849*c_1100_1^6 + 78062125268973630326673/367572803690046269947396*c_1100_1^5 - 42499347113010673687421/183786401845023134973698*c_1100_1^4 - 1120280361269424457395/91893200922511567486849*c_1100_1^3 + 101085256731921015093695/183786401845023134973698*c_1100_1^2 - 107177195464842262757751/367572803690046269947396*c_1100_1 - 16787823529000641089668/91893200922511567486849, c_0101_9 - 12741511756311717379/91893200922511567486849*c_1100_1^12 + 106317551913192600203/183786401845023134973698*c_1100_1^11 - 143170303978383663208/91893200922511567486849*c_1100_1^10 + 398166859217741929225/183786401845023134973698*c_1100_1^9 + 271449244578510296841/91893200922511567486849*c_1100_1^8 - 4142260921426492402839/183786401845023134973698*c_1100_1^7 + 5451371966046450703732/91893200922511567486849*c_1100_1^6 - 16387937537277784098133/183786401845023134973698*c_1100_1^5 + 9275307036590403129276/91893200922511567486849*c_1100_1^4 + 6219530454501499108378/91893200922511567486849*c_1100_1^3 - 26015809275005306327904/91893200922511567486849*c_1100_1^2 + 146183016942884565076211/183786401845023134973698*c_1100_1 + 17358259326835255219775/91893200922511567486849, c_1001_0 + 1563503629777243264787/367572803690046269947396*c_1100_1^12 - 13374814637828997415619/735145607380092539894792*c_1100_1^11 + 8343077938397524048373/183786401845023134973698*c_1100_1^10 - 67366063923656962763001/735145607380092539894792*c_1100_1^9 - 40732436056996010161505/367572803690046269947396*c_1100_1^8 + 548756208984593236071635/735145607380092539894792*c_1100_1^7 - 162904914634807517828376/91893200922511567486849*c_1100_1^6 + 2380666220072448096122325/735145607380092539894792*c_1100_1^5 - 769129705598531045108291/367572803690046269947396*c_1100_1^4 - 576856009349802801074741/183786401845023134973698*c_1100_1^3 + 2849055810202600846878035/367572803690046269947396*c_1100_1^2 + 5114008452240373367205933/735145607380092539894792*c_1100_1 + 60556441199280485687963/183786401845023134973698, c_1001_4 - 713469736466566479939/183786401845023134973698*c_1100_1^12 + 6555869078021337788691/367572803690046269947396*c_1100_1^11 - 4472784197680875882895/91893200922511567486849*c_1100_1^10 + 38945864558538620514141/367572803690046269947396*c_1100_1^9 + 8744287134915960686339/183786401845023134973698*c_1100_1^8 - 240575894267155453095555/367572803690046269947396*c_1100_1^7 + 169287143361127622205789/91893200922511567486849*c_1100_1^6 - 1396815050102857332739325/367572803690046269947396*c_1100_1^5 + 716695173575458948370533/183786401845023134973698*c_1100_1^4 + 15663863308520193086420/91893200922511567486849*c_1100_1^3 - 1032211189824799886356005/183786401845023134973698*c_1100_1^2 - 1559970584858464797568457/367572803690046269947396*c_1100_1 - 61889147153256302673444/91893200922511567486849, c_1100_1^13 - 9/2*c_1100_1^12 + 12*c_1100_1^11 - 51/2*c_1100_1^10 - 17*c_1100_1^9 + 345/2*c_1100_1^8 - 462*c_1100_1^7 + 1823/2*c_1100_1^6 - 819*c_1100_1^5 - 318*c_1100_1^4 + 1673*c_1100_1^3 + 2439/2*c_1100_1^2 + 40*c_1100_1 + 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.550 Total time: 0.760 seconds, Total memory usage: 32.09MB