[ { "group": "A", "N": 1, "k": 12, "sturm_bound": 2, "field_poly": "x", "field_degree": 1, "root_interval": [ "-1/1073741824", "1/536870912" ], "coefficients": [ [], [ "1" ], [ "-24" ] ], "fricke": 1, "epsilon": 1, "companion_label": null, "i": 1, "polynomial": "4*X^9 - 25*X^7 + 42*X^5 - 25*X^3 + 4*X", "polynomial_coefficients": [ "0", "4", "0", "-25", "0", "42", "0", "-25", "0", "4" ], "odd_part_nonzero": true }, { "group": "A", "N": 1, "k": 16, "sturm_bound": 2, "field_poly": "x", "field_degree": 1, "root_interval": [ "-1/1073741824", "1/536870912" ], "coefficients": [ [], [ "1" ], [ "216" ] ], "fricke": 1, "epsilon": 1, "companion_label": null, "i": 1, "polynomial": "36*X^13 - 245*X^11 + 539*X^9 - 660*X^7 + 539*X^5 - 245*X^3 + 36*X", "polynomial_coefficients": [ "0", "36", "0", "-245", "0", "539", "0", "-660", "0", "539", "0", "-245", "0", "36" ], "odd_part_nonzero": true }, { "group": "A", "N": 1, "k": 18, "sturm_bound": 2, "field_poly": "x", "field_degree": 1, "root_interval": [ "-1/1073741824", "1/536870912" ], "coefficients": [ [], [ "1" ], [ "-528" ] ], "fricke": 1, "epsilon": -1, "companion_label": null, "i": 1, "polynomial": "24*X^15 - 154*X^13 + 273*X^11 - 143*X^9 - 143*X^7 + 273*X^5 - 154*X^3 + 24*X", "polynomial_coefficients": [ "0", "24", "0", "-154", "0", "273", "0", "-143", "0", "-143", "0", "273", "0", "-154", "0", "24" ], "odd_part_nonzero": true }, { "group": "A", "N": 1, "k": 20, "sturm_bound": 2, "field_poly": "x", "field_degree": 1, "root_interval": [ "-1/1073741824", "1/536870912" ], "coefficients": [ [], [ "1" ], [ "456" ] ], "fricke": 1, "epsilon": 1, "companion_label": null, "i": 1, "polynomial": "108*X^17 - 715*X^15 + 1452*X^13 - 1560*X^11 + 1430*X^9 - 1560*X^7 + 1452*X^5 - 715*X^3 + 108*X", "polynomial_coefficients": [ "0", "108", "0", "-715", "0", "1452", "0", "-1560", "0", "1430", "0", "-1560", "0", "1452", "0", "-715", "0", "108" ], "odd_part_nonzero": true }, { "group": "A", "N": 1, "k": 22, "sturm_bound": 2, "field_poly": "x", "field_degree": 1, "root_interval": [ "-1/1073741824", "1/536870912" ], "coefficients": [ [], [ "1" ], [ "-288" ] ], "fricke": 1, "epsilon": -1, "companion_label": null, "i": 1, "polynomial": "360*X^19 - 2366*X^17 + 4641*X^15 - 4182*X^13 + 1547*X^11 + 1547*X^9 - 4182*X^7 + 4641*X^5 - 2366*X^3 + 360*X", "polynomial_coefficients": [ "0", "360", "0", "-2366", "0", "4641", "0", "-4182", "0", "1547", "0", "1547", "0", "-4182", "0", "4641", "0", "-2366", "0", "360" ], "odd_part_nonzero": true }, { "group": "A", "N": 1, "k": 24, "sturm_bound": 2, "field_poly": "x^2 - x - 36042", "field_degree": 2, "root_interval": [ "25548071457/134217728", "204384571659/1073741824" ], "coefficients": [ [], [ "1" ], [ "552", "-24" ] ], "fricke": 1, "epsilon": 1, "companion_label": null, "i": 1 }, { "group": "A", "N": 1, "k": 24, "sturm_bound": 2, "field_poly": "x^2 - x - 36042", "field_degree": 2, "root_interval": [ "-203310829835/1073741824", "-25413853729/134217728" ], "coefficients": [ [], [ "1" ], [ "552", "-24" ] ], "fricke": 1, "epsilon": 1, "companion_label": null, "i": 2 }, { "group": "A", "N": 1, "k": 26, "sturm_bound": 2, "field_poly": "x", "field_degree": 1, "root_interval": [ "-1/1073741824", "1/536870912" ], "coefficients": [ [], [ "1" ], [ "-48" ] ], "fricke": 1, "epsilon": -1, "companion_label": null, "i": 1, "polynomial": "1080*X^23 - 7106*X^21 + 14025*X^19 - 13167*X^17 + 7106*X^15 - 1938*X^13 - 1938*X^11 + 7106*X^9 - 13167*X^7 + 14025*X^5 - 7106*X^3 + 1080*X", "polynomial_coefficients": [ "0", "1080", "0", "-7106", "0", "14025", "0", "-13167", "0", "7106", "0", "-1938", "0", "-1938", "0", "7106", "0", "-13167", "0", "14025", "0", "-7106", "0", "1080" ], "odd_part_nonzero": true }, { "group": "D", "N": 3, "k": 12, "sturm_bound": 4, "field_poly": "x", "field_degree": 1, "root_interval": [ "-1/1073741824", "1/536870912" ], "coefficients": [ [], [ "1" ], [ "78" ], [ "-243" ], [ "4036" ] ], "fricke": 1, "epsilon": 1, "companion_label": null, "i": 1, "polynomial": "81*X^9 - 72*X^7 + 28*X^5 - 8*X^3 + X", "polynomial_coefficients": [ "0", "1", "0", "-8", "0", "28", "0", "-72", "0", "81" ], "odd_part_nonzero": true }, { "group": "D", "N": 4, "k": 12, "sturm_bound": 6, "field_poly": "x", "field_degree": 1, "root_interval": [ "-1/1073741824", "1/536870912" ], "coefficients": [ [], [ "1" ], [], [ "-516" ], [], [ "-10530" ], [] ], "fricke": -1, "epsilon": -1, "companion_label": null, "i": 1, "polynomial": "256*X^9 - 96*X^7 + 6*X^3 - X", "polynomial_coefficients": [ "0", "-1", "0", "6", "0", "0", "0", "-96", "0", "256" ], "odd_part_nonzero": true }, { "group": "D", "N": 5, "k": 12, "sturm_bound": 6, "field_poly": "x^2 - 151", "field_degree": 2, "root_interval": [ "-13194360433/1073741824", "-6597180215/536870912" ], "coefficients": [ [], [ "1" ], [ "-10", "6" ], [ "-110", "32" ], [ "3488", "-120" ], [ "-3125" ], [ "30092", "-980" ] ], "fricke": 1, "epsilon": 1, "companion_label": null, "i": 1 }, { "group": "D", "N": 5, "k": 12, "sturm_bound": 6, "field_poly": "x", "field_degree": 1, "root_interval": [ "-1/1073741824", "1/536870912" ], "coefficients": [ [], [ "1" ], [ "34" ], [ "-792" ], [ "-892" ], [ "3125" ], [ "-26928" ] ], "fricke": -1, "epsilon": -1, "companion_label": null, "i": 2, "polynomial": "3125*X^9 - 800*X^7 + 32*X^3 - 5*X", "polynomial_coefficients": [ "0", "-5", "0", "32", "0", "0", "0", "-800", "0", "3125" ], "odd_part_nonzero": true }, { "group": "D", "N": 5, "k": 12, "sturm_bound": 6, "field_poly": "x^2 - 151", "field_degree": 2, "root_interval": [ "6597180215/536870912", "13194360433/1073741824" ], "coefficients": [ [], [ "1" ], [ "-10", "6" ], [ "-110", "32" ], [ "3488", "-120" ], [ "-3125" ], [ "30092", "-980" ] ], "fricke": 1, "epsilon": 1, "companion_label": null, "i": 3 }, { "group": "D", "N": 6, "k": 12, "sturm_bound": 12, "field_poly": "x", "field_degree": 1, "root_interval": [ "-1/1073741824", "1/536870912" ], "coefficients": [ [], [ "1" ], [ "-32" ], [ "-243" ], [ "1024" ], [ "5766" ], [ "7776" ], [ "72464" ], [ "-32768" ], [ "59049" ], [ "-184512" ], [ "-408948" ], [ "-248832" ] ], "fricke": 1, "epsilon": 1, "companion_label": null, "i": 1, "polynomial": "6480*X^9 - 1080*X^7 + 81*X^5 - 30*X^3 + 5*X", "polynomial_coefficients": [ "0", "5", "0", "-30", "0", "81", "0", "-1080", "0", "6480" ], "odd_part_nonzero": true }, { "group": "D", "N": 6, "k": 12, "sturm_bound": 12, "field_poly": "x", "field_degree": 1, "root_interval": [ "-1/1073741824", "1/536870912" ], "coefficients": [ [], [ "1" ], [ "-32" ], [ "243" ], [ "1024" ], [ "-11730" ], [ "-7776" ], [ "-50008" ], [ "-32768" ], [ "59049" ], [ "375360" ], [ "-531420" ], [ "248832" ] ], "fricke": -1, "epsilon": -1, "companion_label": null, "i": 2, "polynomial": "1296*X^9 - 216*X^7 + 6*X^3 - X", "polynomial_coefficients": [ "0", "-1", "0", "6", "0", "0", "0", "-216", "0", "1296" ], "odd_part_nonzero": true }, { "group": "D", "N": 6, "k": 12, "sturm_bound": 12, "field_poly": "x", "field_degree": 1, "root_interval": [ "-1/1073741824", "1/536870912" ], "coefficients": [ [], [ "1" ], [ "32" ], [ "243" ], [ "1024" ], [ "3630" ], [ "7776" ], [ "32936" ], [ "32768" ], [ "59049" ], [ "116160" ], [ "-758748" ], [ "248832" ] ], "fricke": 1, "epsilon": 1, "companion_label": null, "i": 3, "polynomial": "6480*X^9 - 1368*X^7 + 168*X^5 - 38*X^3 + 5*X", "polynomial_coefficients": [ "0", "5", "0", "-38", "0", "168", "0", "-1368", "0", "6480" ], "odd_part_nonzero": true }, { "group": "D", "N": 7, "k": 12, "sturm_bound": 8, "field_poly": "x^2 - x - 842", "field_degree": 2, "root_interval": [ "15849258101/536870912", "31698516205/1073741824" ], "coefficients": [ [], [ "1" ], [ "-26", "-2" ], [ "54", "12" ], [ "1996", "108" ], [ "-6740", "-20" ], [ "-21612", "-444" ], [ "16807" ], [ "-180520", "-2920" ] ], "fricke": -1, "epsilon": -1, "companion_label": null, "i": 1 }, { "group": "D", "N": 7, "k": 12, "sturm_bound": 8, "field_poly": "x^3 - x^2 - 818*x - 4704", "field_degree": 3, "root_interval": [ "-6516429169/1073741824", "-3258214583/536870912" ], "coefficients": [ [], [ "1" ], [ "-65", "-5/6", "1/6" ], [ "-946", "-91/3", "5/3" ], [ "1001", "69/2", "3/2" ], [ "1376", "1057/3", "1/3" ], [ "32482", "-2933/3", "-59/3" ], [ "-16807" ], [ "90399", "7383/2", "-183/2" ] ], "fricke": 1, "epsilon": 1, "companion_label": null, "i": 2 }, { "group": "D", "N": 7, "k": 12, "sturm_bound": 8, "field_poly": "x^2 - x - 842", "field_degree": 2, "root_interval": [ "-30624774381/1073741824", "-15312387189/536870912" ], "coefficients": [ [], [ "1" ], [ "-26", "-2" ], [ "54", "12" ], [ "1996", "108" ], [ "-6740", "-20" ], [ "-21612", "-444" ], [ "16807" ], [ "-180520", "-2920" ] ], "fricke": -1, "epsilon": -1, "companion_label": null, "i": 3 }, { "group": "D", "N": 7, "k": 12, "sturm_bound": 8, "field_poly": "x^3 - x^2 - 818*x - 4704", "field_degree": 3, "root_interval": [ "-26338478069/1073741824", "-13169239033/536870912" ], "coefficients": [ [], [ "1" ], [ "-65", "-5/6", "1/6" ], [ "-946", "-91/3", "5/3" ], [ "1001", "69/2", "3/2" ], [ "1376", "1057/3", "1/3" ], [ "32482", "-2933/3", "-59/3" ], [ "-16807" ], [ "90399", "7383/2", "-183/2" ] ], "fricke": 1, "epsilon": 1, "companion_label": null, "i": 4 }, { "group": "D", "N": 7, "k": 12, "sturm_bound": 8, "field_poly": "x^3 - x^2 - 818*x - 4704", "field_degree": 3, "root_interval": [ "16964324529/536870912", "33928649061/1073741824" ], "coefficients": [ [], [ "1" ], [ "-65", "-5/6", "1/6" ], [ "-946", "-91/3", "5/3" ], [ "1001", "69/2", "3/2" ], [ "1376", "1057/3", "1/3" ], [ "32482", "-2933/3", "-59/3" ], [ "-16807" ], [ "90399", "7383/2", "-183/2" ] ], "fricke": 1, "epsilon": 1, "companion_label": null, "i": 5 }, { "group": "D", "N": 8, "k": 12, "sturm_bound": 12, "field_poly": "x^2 - x - 27", "field_degree": 2, "root_interval": [ "6141967787/1073741824", "3070983895/536870912" ], "coefficients": [ [], [ "1" ], [], [ "92", "-128" ], [], [ "3166", "1536" ], [], [ "48216", "-5376" ], [], [ "273685", "-7168" ], [], [ "35188", "88704" ], [] ], "fricke": 1, "epsilon": 1, "companion_label": null, "i": 1 }, { "group": "D", "N": 8, "k": 12, "sturm_bound": 12, "field_poly": "x", "field_degree": 1, "root_interval": [ "-1/1073741824", "1/536870912" ], "coefficients": [ [], [ "1" ], [], [ "-36" ], [], [ "-3490" ], [], [ "-55464" ], [], [ "-175851" ], [], [ "-597004" ], [] ], "fricke": -1, "epsilon": -1, "companion_label": null, "i": 2, "polynomial": "20480*X^9 - 2048*X^7 + 32*X^3 - 5*X", "polynomial_coefficients": [ "0", "-5", "0", "32", "0", "0", "0", "-2048", "0", "20480" ], "odd_part_nonzero": true }, { "group": "D", "N": 8, "k": 12, "sturm_bound": 12, "field_poly": "x^2 - x - 27", "field_degree": 2, "root_interval": [ "-2534112983/536870912", "-5068225963/1073741824" ], "coefficients": [ [], [ "1" ], [], [ "92", "-128" ], [], [ "3166", "1536" ], [], [ "48216", "-5376" ], [], [ "273685", "-7168" ], [], [ "35188", "88704" ], [] ], "fricke": 1, "epsilon": 1, "companion_label": null, "i": 3 }, { "group": "D", "N": 9, "k": 12, "sturm_bound": 12, "field_poly": "x", "field_degree": 1, "root_interval": [ "-1/1073741824", "1/536870912" ], "coefficients": [ [], [ "1" ], [ "-78" ], [], [ "4036" ], [ "5370" ], [], [ "-27760" ], [ "-155064" ], [], [ "-418860" ], [ "-637836" ], [] ], "fricke": -1, "epsilon": -1, "companion_label": null, "i": 1, "polynomial": "19683*X^9 - 1296*X^7 + 16*X^3 - 3*X", "polynomial_coefficients": [ "0", "-3", "0", "16", "0", "0", "0", "-1296", "0", "19683" ], "odd_part_nonzero": true }, { "group": "D", "N": 9, "k": 12, "sturm_bound": 12, "field_poly": "x^2 - 70", "field_degree": 2, "root_interval": [ "-8983568631/1073741824", "-2245892157/268435456" ], "coefficients": [ [], [ "1" ], [ "0", "6" ], [], [ "472" ], [ "0", "1344" ], [], [ "58100" ], [ "0", "-9456" ], [], [ "564480" ], [ "0", "-19200" ], [] ], "fricke": 1, "epsilon": 1, "companion_label": null, "i": 2 }, { "group": "D", "N": 9, "k": 12, "sturm_bound": 12, "field_poly": "x", "field_degree": 1, "root_interval": [ "-1/1073741824", "1/536870912" ], "coefficients": [ [], [ "1" ], [ "24" ], [], [ "-1472" ], [ "-4830" ], [], [ "-16744" ], [ "-84480" ], [], [ "-115920" ], [ "-534612" ], [] ], "fricke": -1, "epsilon": -1, "companion_label": null, "i": 3, "polynomial": "26244*X^9 - 2187*X^7 + 27*X^3 - 4*X", "polynomial_coefficients": [ "0", "-4", "0", "27", "0", "0", "0", "-2187", "0", "26244" ], "odd_part_nonzero": true }, { "group": "D", "N": 9, "k": 12, "sturm_bound": 12, "field_poly": "x^2 - 70", "field_degree": 2, "root_interval": [ "2245892157/268435456", "8983568631/1073741824" ], "coefficients": [ [], [ "1" ], [ "0", "6" ], [], [ "472" ], [ "0", "1344" ], [], [ "58100" ], [ "0", "-9456" ], [], [ "564480" ], [ "0", "-19200" ], [] ], "fricke": 1, "epsilon": 1, "companion_label": null, "i": 4 }, { "group": "D", "N": 10, "k": 12, "sturm_bound": 18, "field_poly": "x", "field_degree": 1, "root_interval": [ "-1/1073741824", "1/536870912" ], "coefficients": [ [], [ "1" ], [ "-32" ], [ "-12" ], [ "1024" ], [ "3125" ], [ "384" ], [ "-14176" ], [ "-32768" ], [ "-177003" ], [ "-100000" ], [ "-756348" ], [ "-12288" ], [ "-905482" ], [ "453632" ], [ "-37500" ], [ "1048576" ], [ "2803794" ], [ "5664096" ] ], "fricke": -1, "epsilon": -1, "companion_label": null, "i": 1, "polynomial": "10000*X^9 - 600*X^7 + 6*X^3 - X", "polynomial_coefficients": [ "0", "-1", "0", "6", "0", "0", "0", "-600", "0", "10000" ], "odd_part_nonzero": true }, { "group": "D", "N": 10, "k": 12, "sturm_bound": 18, "field_poly": "x", "field_degree": 1, "root_interval": [ "-1/1073741824", "1/536870912" ], "coefficients": [ [], [ "1" ], [ "-32" ], [ "738" ], [ "1024" ], [ "-3125" ], [ "-23616" ], [ "25574" ], [ "-32768" ], [ "367497" ], [ "100000" ], [ "769152" ], [ "755712" ], [ "-918982" ], [ "-818368" ], [ "-2306250" ], [ "1048576" ], [ "10312794" ], [ "-11759904" ] ], "fricke": 1, "epsilon": 1, "companion_label": null, "i": 2, "polynomial": "370000*X^9 - 24700*X^7 + 1050*X^5 - 247*X^3 + 37*X", "polynomial_coefficients": [ "0", "37", "0", "-247", "0", "1050", "0", "-24700", "0", "370000" ], "odd_part_nonzero": true }, { "group": "D", "N": 10, "k": 12, "sturm_bound": 18, "field_poly": "x", "field_degree": 1, "root_interval": [ "-1/1073741824", "1/536870912" ], "coefficients": [ [], [ "1" ], [ "32" ], [ "-318" ], [ "1024" ], [ "-3125" ], [ "-10176" ], [ "-70714" ], [ "32768" ], [ "-76023" ], [ "-100000" ], [ "238272" ], [ "-325632" ], [ "-2097478" ], [ "-2262848" ], [ "993750" ], [ "1048576" ], [ "5955546" ], [ "-2432736" ] ], "fricke": -1, "epsilon": -1, "companion_label": null, "i": 3, "polynomial": "110000*X^9 - 7500*X^7 + 75*X^3 - 11*X", "polynomial_coefficients": [ "0", "-11", "0", "75", "0", "0", "0", "-7500", "0", "110000" ], "odd_part_nonzero": true }, { "group": "D", "N": 10, "k": 12, "sturm_bound": 18, "field_poly": "x^2 - x - 492", "field_degree": 2, "root_interval": [ "6089916735/268435456", "24359666943/1073741824" ], "coefficients": [ [], [ "1" ], [ "32" ], [ "312", "-20" ], [ "1024" ], [ "3125" ], [ "9984", "-640" ], [ "5276", "3540" ], [ "32768" ], [ "116997", "-12080" ], [ "100000" ], [ "198252", "25080" ], [ "319488", "-20480" ], [ "879782", "-29040" ], [ "168832", "113280" ], [ "975000", "-62500" ], [ "1048576" ], [ "-3212094", "100560" ], [ "3743904", "-386560" ] ], "fricke": 1, "epsilon": 1, "companion_label": null, "i": 4 }, { "group": "D", "N": 10, "k": 12, "sturm_bound": 18, "field_poly": "x^2 - x - 492", "field_degree": 2, "root_interval": [ "-23285925119/1073741824", "-5821481279/268435456" ], "coefficients": [ [], [ "1" ], [ "32" ], [ "312", "-20" ], [ "1024" ], [ "3125" ], [ "9984", "-640" ], [ "5276", "3540" ], [ "32768" ], [ "116997", "-12080" ], [ "100000" ], [ "198252", "25080" ], [ "319488", "-20480" ], [ "879782", "-29040" ], [ "168832", "113280" ], [ "975000", "-62500" ], [ "1048576" ], [ "-3212094", "100560" ], [ "3743904", "-386560" ] ], "fricke": 1, "epsilon": 1, "companion_label": null, "i": 5 } ]