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Label	Polynomial	Degree	Signature	Discriminant	Ram. prime count	Root discriminant	Galois root discriminant	Monogenic	Galois group	Class group	Unit group torsion	Unit group rank	Regulator
15.3.137...464.1	$x^{15} - x^{14} - 2 x^{13} - 2 x^{12} + 5 x^{11} + 7 x^{10} - 42 x^{9} + 132 x^{8} - 204 x^{7} + 180 x^{6} - 114 x^{5} + 108 x^{3} - 108 x^{2} + 72 x - 36$	$15$	[3,6]	$2^{12}\cdot 3^{12}\cdot 43^{6}$	$3$	$18.8759310611$	$27.49509522275834$	?	$S_5$ (as 15T10)	$[2]$	$2$	$8$	$6571.39436311$
15.3.427...961.1	$x^{15} - 3 x^{14} + 2 x^{13} + 5 x^{12} - 16 x^{11} - 47 x^{10} - 40 x^{9} + 5 x^{8} + 29 x^{7} + 38 x^{6} + 61 x^{5} + 81 x^{4} + 72 x^{3} + 39 x^{2} + 11 x + 1$	$15$	[3,6]	$7^{10}\cdot 73^{6}$	$2$	$20.3576590905$	$31.265121691698095$	?	$\GL(2,4)$ (as 15T16)	$[3]$	$2$	$8$	$3116.49529825$
15.1.134...751.1	$x^{15} - 5 x^{14} + 9 x^{13} - 6 x^{12} + 7 x^{11} - 12 x^{10} + 17 x^{9} - 29 x^{8} + 2 x^{7} - 4 x^{6} + 21 x^{5} - 9 x^{4} + 53 x^{3} + 12 x^{2} + 25 x - 1$	$15$	[1,7]	$-\,751^{7}$	$1$	$21.9768429136$	$27.40437921208944$		$D_{15}$ (as 15T2)	$[2]$	$2$	$7$	$10575.7740384$
15.1.143...287.1	$x^{15} - x^{14} + 3 x^{13} - 21 x^{12} + 23 x^{11} + 8 x^{10} + 39 x^{9} - 113 x^{8} - 64 x^{7} + 132 x^{6} + 251 x^{5} + 261 x^{4} - 646 x^{3} + 393 x^{2} - 110 x + 13$	$15$	[1,7]	$-\,7^{10}\cdot 47^{7}$	$2$	$22.0653604887$	$25.086936025192795$	?	$D_{15}$ (as 15T2)	$[3]$	$2$	$7$	$3725.0006398$
15.1.103...375.1	$x^{15} - x^{14} + 9 x^{13} - 11 x^{12} + 38 x^{11} - 71 x^{10} + 135 x^{9} - 183 x^{8} + 287 x^{7} - 231 x^{6} + 301 x^{5} + 120 x^{4} - 49 x^{3} + 273 x^{2} + 118 x - 11$	$15$	[1,7]	$-\,5^{6}\cdot 19^{4}\cdot 47^{7}$	$3$	$25.1710478758$	$142.7352803864651$	?	$C_3^4:D_5$ (as 15T35)	$[3]$	$2$	$7$	$9384.22657608$
15.1.176...663.1	$x^{15} - 3 x^{13} - 17 x^{12} - 27 x^{11} + 48 x^{10} + 165 x^{9} + 306 x^{8} - 45 x^{7} - 918 x^{6} - 1251 x^{5} - 633 x^{4} + 2241 x^{3} + 864 x^{2} - 675 x - 325$	$15$	[1,7]	$-\,3^{20}\cdot 47^{7}$	$2$	$26.0899956484$	$29.66269470481324$	?	$D_{15}$ (as 15T2)	$[3]$	$2$	$7$	$14560.9805563$
15.1.221...375.1	$x^{15} - 15 x^{13} + 90 x^{11} - 7 x^{10} - 275 x^{9} + 70 x^{8} + 450 x^{7} - 245 x^{6} - 364 x^{5} + 350 x^{4} + 70 x^{3} - 175 x^{2} + 55 x - 6$	$15$	[1,7]	$-\,5^{13}\cdot 283^{5}$	$2$	$26.487205983218256$	$107.08008881954336$	?	$D_5^3.D_6$ (as 15T68)	$[2]$	$2$	$7$	$53636.21315021283$
15.1.520...375.1	$x^{15} - 5 x^{14} + 14 x^{13} - 18 x^{12} + 7 x^{11} - 12 x^{10} - 60 x^{9} + 94 x^{8} + 227 x^{7} - 457 x^{6} - 779 x^{5} + 111 x^{4} + 506 x^{3} + 183 x^{2} - 127$	$15$	[1,7]	$-\,5^{10}\cdot 127^{7}$	$2$	$28.0385191477$	$32.95200640537238$		$D_{15}$ (as 15T2)	$[2]$	$2$	$7$	$81920.0478513$
15.5.544...587.1	$x^{15} - 22 x^{12} + 66 x^{9} - 33 x^{6} - 22 x^{3} + 11$	$15$	[5,5]	$-\,3^{15}\cdot 11^{14}$	$2$	$28.124691079190463$	$33.77598086990868$	?	$S_3 \times C_5$ (as 15T4)	$[2]$	$2$	$9$	$56600.06558827911$
15.3.583...376.1	$x^{15} - 5 x^{14} + 5 x^{13} + 5 x^{12} + 7 x^{11} - 31 x^{10} - 5 x^{9} + 23 x^{8} + 13 x^{7} - 9 x^{6} + 45 x^{5} - 19 x^{4} - 53 x^{3} + 5 x^{2} - 13 x - 1$	$15$	[3,6]	$2^{26}\cdot 31^{2}\cdot 67^{6}$	$3$	$28.2529286522$	$443.9260220573459$		$C_3:S_3^4:A_5$ (as 15T88)	$[3]$	$2$	$8$	$234491.961834$
15.3.102...256.1	$x^{15} - 7 x^{14} + 28 x^{13} - 75 x^{12} + 167 x^{11} - 311 x^{10} + 580 x^{9} - 789 x^{8} + 862 x^{7} - 324 x^{6} + 254 x^{5} - 16 x^{4} + 461 x^{3} + 395 x^{2} + 58 x - 1$	$15$	[3,6]	$2^{18}\cdot 3^{5}\cdot 107^{7}$	$3$	$29.33068298596537$	$50.67543783727971$	?	$A_5 \times S_3$ (as 15T23)	$[3]$	$2$	$8$	$55018.94459313435$
15.1.109...728.1	$x^{15} - 5 x^{13} + 15 x^{11} - 2 x^{10} + 17 x^{9} - 156 x^{8} - 156 x^{7} + 454 x^{6} + 120 x^{5} - 1736 x^{4} - 668 x^{3} - 408 x^{2} + 32 x - 8$	$15$	[1,7]	$-\,2^{10}\cdot 523^{7}$	$2$	$29.4659729105$	$36.30258142598178$		$D_{15}$ (as 15T2)	$[2]$	$2$	$7$	$336028.882665$
15.1.202...384.1	$x^{15} - 7 x^{14} + 20 x^{13} - 32 x^{12} + 27 x^{11} + 5 x^{10} + 21 x^{9} - 267 x^{8} + 615 x^{7} - 795 x^{6} + 1025 x^{5} - 1443 x^{4} + 1530 x^{3} - 1188 x^{2} + 729 x - 243$	$15$	[1,7]	$-\,2^{10}\cdot 571^{7}$	$2$	$30.6984782475$	$37.93191056327041$		$D_{15}$ (as 15T2)	$[2]$	$2$	$7$	$420279.707763$
15.3.267...184.1	$x^{15} - 6 x^{14} + 12 x^{13} - 14 x^{12} + 57 x^{11} - 184 x^{10} + 120 x^{9} + 450 x^{8} - 761 x^{7} - 166 x^{6} + 1008 x^{5} - 208 x^{4} - 684 x^{3} + 248 x^{2} + 256 x - 128$	$15$	[3,6]	$2^{18}\cdot 7^{5}\cdot 67^{7}$	$3$	$31.268250511299968$	$61.25357132445422$		$A_5 \times S_3$ (as 15T23)	$[3]$	$2$	$8$	$302306.3289579745$
15.1.347...263.1	$x^{15} - 4 x^{14} + 3 x^{13} + 8 x^{12} + 27 x^{11} - 92 x^{10} + 113 x^{9} + 8 x^{8} + 334 x^{7} - 96 x^{6} + 2102 x^{5} - 1080 x^{4} + 2129 x^{3} - 773 x^{2} + 570 x - 225$	$15$	[1,7]	$-\,7^{10}\cdot 103^{7}$	$2$	$31.8216526984$	$37.13789685454593$		$D_{15}$ (as 15T2)	$[3]$	$2$	$7$	$147159.120328$
15.1.611...176.1	$x^{15} - 2 x^{14} + 2 x^{13} - 12 x^{11} + 56 x^{10} - 82 x^{9} + 140 x^{8} - 88 x^{7} + 48 x^{6} + 220 x^{5} - 308 x^{4} + 166 x^{3} - 220 x^{2} - 300 x + 500$	$15$	[1,7]	$-\,2^{22}\cdot 11^{5}\cdot 67^{6}$	$3$	$33.042391792397886$	$86.18871451750613$	?	$A_5 \times S_3$ (as 15T23)	$[3]$	$2$	$7$	$192963.9904447141$
15.1.669...847.1	$x^{15} - 6 x^{14} + 16 x^{13} - 41 x^{12} + 67 x^{11} - 53 x^{10} + 156 x^{9} - 529 x^{8} + 588 x^{7} + 168 x^{6} - 271 x^{5} - 1281 x^{4} + 1423 x^{3} - 254 x^{2} + 152 x - 200$	$15$	[1,7]	$-\,1823^{7}$	$1$	$33.2430180474$	$42.69660408041839$		$D_{15}$ (as 15T2)	$[2]$	$2$	$7$	$164195.256154$
15.1.669...759.1	$x^{15} - 19 x^{12} + 36 x^{11} - 39 x^{10} + 59 x^{9} - 126 x^{8} + 648 x^{7} - 556 x^{6} + 585 x^{5} + 93 x^{4} + 319 x^{3} - 297 x^{2} + 1116 x + 1071$	$15$	[1,7]	$-\,3^{20}\cdot 79^{7}$	$2$	$33.2445900758$	$38.456983737546345$	?	$D_{15}$ (as 15T2)	$[2]$	$2$	$7$	$145411.427122$
15.1.770...344.1	$x^{15} - 3 x^{14} + 18 x^{13} - 46 x^{12} + 134 x^{11} - 262 x^{10} + 548 x^{9} - 748 x^{8} + 1117 x^{7} - 883 x^{6} + 422 x^{5} + 1266 x^{4} - 2232 x^{3} + 4104 x^{2} - 3240 x + 972$	$15$	[1,7]	$-\,2^{10}\cdot 691^{7}$	$2$	$33.5564816377$	$41.72781914927636$		$D_{15}$ (as 15T2)	$[2]$	$2$	$7$	$817777.771658$
15.1.799...399.1	$x^{15} - 3 x^{14} + 2 x^{13} + 24 x^{12} - 38 x^{11} - 27 x^{10} + 79 x^{9} - 382 x^{8} - 261 x^{7} - 340 x^{6} - 1146 x^{5} - 1686 x^{4} - 2159 x^{3} - 130 x^{2} - 468 x - 3497$	$15$	[1,7]	$-\,7^{9}\cdot 13^{6}\cdot 17^{7}$	$3$	$33.639200203$	$275.5109066339151$	?	$C_3:S_3^4:D_5$ (as 15T79)	$[3]$	$2$	$7$	$105744.182182$
15.3.119...625.1	$x^{15} - 5 x^{12} + 25 x^{9} - 155 x^{6} + 265 x^{3} - 8$	$15$	[3,6]	$3^{22}\cdot 5^{18}$	$2$	$34.557462503212804$	$42.105893506402914$	?	$S_5$ (as 15T10)	$[3]$	$2$	$8$	$1074187.3969807$
15.5.120...331.1	$x^{15} + 6 x^{13} - 19 x^{12} - 45 x^{11} + 87 x^{10} - 123 x^{9} + 117 x^{8} - 228 x^{7} - 555 x^{6} + 2619 x^{5} + 2145 x^{4} - 4231 x^{3} - 3645 x^{2} + 1209 x + 2069$	$15$	[5,5]	$-\,3^{20}\cdot 11^{13}$	$2$	$34.57020859771022$	$37.44683262965639$	?	$S_3 \times C_5$ (as 15T4)	$[3]$	$2$	$9$	$267127.48422576574$
15.1.121...375.1	$x^{15} - 15 x^{13} + 90 x^{11} - 2 x^{10} - 275 x^{9} + 20 x^{8} + 450 x^{7} - 70 x^{6} - 381 x^{5} + 100 x^{4} + 155 x^{3} - 50 x^{2} - 30 x + 13$	$15$	[1,7]	$-\,5^{15}\cdot 331^{5}$	$2$	$34.586982083046124$		?	$D_5^3.D_6$ (as 15T68)	$[2]$	$2$	$7$	$320938.41749728605$
15.1.187...939.1	$x^{15} - 4 x^{14} + 13 x^{13} - 29 x^{12} - 9 x^{11} + 183 x^{10} + 89 x^{9} - 693 x^{8} - 495 x^{7} + 1185 x^{6} + 1953 x^{5} - 895 x^{4} - 3026 x^{3} - 2703 x^{2} - 1158 x - 188$	$15$	[1,7]	$-\,7^{10}\cdot 131^{7}$	$2$	$35.6007076997$	$41.88266818867061$		$D_{15}$ (as 15T2)	$[3]$	$2$	$7$	$972834.831268$
15.1.303...875.1	$x^{15} - 2 x^{14} + 2 x^{13} - 9 x^{12} + 49 x^{11} + 172 x^{10} + 646 x^{9} + 1173 x^{8} + 2371 x^{7} + 3456 x^{6} + 4388 x^{5} + 4043 x^{4} + 3358 x^{3} + 1844 x^{2} + 864 x + 256$	$15$	[1,7]	$-\,5^{10}\cdot 227^{7}$	$2$	$36.7670458135$	$44.054769315910065$		$D_{15}$ (as 15T2)	$[2]$	$2$	$7$	$2469699.49387$
15.3.329...000.1	$x^{15} - 6 x^{14} + 24 x^{13} - 83 x^{12} + 222 x^{11} - 438 x^{10} + 670 x^{9} - 774 x^{8} + 738 x^{7} - 252 x^{6} - 648 x^{5} + 216 x^{4} - 855 x^{3} + 1080 x^{2} + 1080 x - 225$	$15$	[3,6]	$2^{12}\cdot 3^{30}\cdot 5^{8}$	$3$	$36.97009003933037$	$55.02584468273468$		$S_6$ (as 15T28)	$[2]$	$2$	$8$	$5114477.576055425$
15.1.345...343.1	$x^{15} - 7 x^{14} + 22 x^{13} - 38 x^{12} + 86 x^{11} - 206 x^{10} + 364 x^{9} - 800 x^{8} - 1462 x^{7} + 615 x^{6} - 6007 x^{5} + 2169 x^{4} - 965 x^{3} - 13194 x^{2} + 6050 x - 19375$	$15$	[1,7]	$-\,7^{10}\cdot 11^{7}\cdot 13^{7}$	$3$	$37.0870404099$	$43.758931819174485$	?	$D_{15}$ (as 15T2)	$[3]$	$2$	$7$	$478768.310095$
15.1.725...231.1	$x^{15} - 6 x^{14} + 11 x^{13} - 7 x^{12} - 21 x^{11} + 82 x^{10} + 74 x^{9} + 288 x^{8} + 667 x^{7} + 1354 x^{6} + 1959 x^{5} + 2750 x^{4} + 3303 x^{3} + 4395 x^{2} + 1026 x + 3807$	$15$	[1,7]	$-\,3^{7}\cdot 7^{10}\cdot 53^{7}$	$3$	$38.96882862054589$	$46.14208931578271$		$D_{15}$ (as 15T2)	$[3]$	$2$	$7$	$3793969.941382245$
15.3.149...216.1	$x^{15} - 29 x^{13} - 35 x^{12} + 271 x^{11} + 566 x^{10} - 635 x^{9} - 2821 x^{8} - 2788 x^{7} - 580 x^{6} + 566 x^{5} + 206 x^{4} - 113 x^{3} - 76 x^{2} - 15 x - 1$	$15$	[3,6]	$2^{18}\cdot 17^{10}\cdot 41^{4}$	$3$	$40.88942193346058$	$222.3481458437315$	?	$C_3^4:A_5$ (as 15T53)	$[3]$	$2$	$8$	$270074.7219673586$
15.1.264...991.1	$x^{15} - 3 x^{14} + 10 x^{13} - 9 x^{12} + 21 x^{11} + 139 x^{10} + 385 x^{9} - 1182 x^{8} + 1353 x^{7} + 7216 x^{6} + 10396 x^{5} - 12354 x^{4} - 11842 x^{3} + 73684 x^{2} + 175707 x + 162729$	$15$	[1,7]	$-\,13^{10}\cdot 79^{7}$	$2$	$42.48036218001803$	$49.14082543353559$		$D_{15}$ (as 15T2)	$[3]$	$2$	$7$	$1085566.5475309184$
15.1.287...656.1	$x^{15} - 6 x^{14} + 12 x^{13} - 39 x^{12} + 180 x^{11} - 228 x^{10} + 365 x^{9} - 1596 x^{8} + 2478 x^{7} - 307 x^{6} + 7584 x^{5} - 8532 x^{4} - 704 x^{3} - 14352 x^{2} + 6144 x - 8128$	$15$	[1,7]	$-\,2^{10}\cdot 11^{12}\cdot 19^{7}$	$3$	$42.712254180940974$	$47.1169980263313$		$D_{15}$ (as 15T2)	$[5]$	$2$	$7$	$2529012.017505242$
15.3.669...664.1	$x^{15} - 7 x^{14} + 6 x^{13} + 40 x^{12} - 102 x^{11} + 12 x^{10} - 120 x^{9} - 56 x^{8} + 863 x^{7} - 1541 x^{6} - 780 x^{5} - 4768 x^{4} - 2933 x^{3} - 1795 x^{2} - 316 x - 20$	$15$	[3,6]	$2^{18}\cdot 7^{10}\cdot 67^{6}$	$3$	$45.19231711829813$	$84.7190521533498$		$\GL(2,4)$ (as 15T15)	$[3]$	$2$	$8$	$14068105.95552779$
15.5.778...223.1	$x^{15} - 4 x^{14} - 12 x^{13} + 63 x^{12} + 75 x^{11} - 365 x^{10} - 859 x^{9} - 1340 x^{8} - 2526 x^{7} + 965 x^{6} - 1651 x^{5} + 7887 x^{4} + 935 x^{3} + 418 x^{2} - 2167 x - 671$	$15$	[5,5]	$-\,3^{6}\cdot 11^{12}\cdot 23^{7}$	$3$	$45.6494595421$	$56.56381504121475$	?	$((C_5^2 : C_3):C_2):C_2$ (as 15T18)	$[5]$	$2$	$9$	$1212792.08283$
15.1.845...879.1	$x^{15} - 6 x^{14} + 29 x^{13} - 119 x^{12} + 396 x^{11} - 1132 x^{10} + 2906 x^{9} - 6522 x^{8} + 13105 x^{7} - 24007 x^{6} + 38721 x^{5} - 52199 x^{4} + 52599 x^{3} - 37137 x^{2} + 14859 x - 2421$	$15$	[1,7]	$-\,3^{7}\cdot 1213^{7}$	$2$	$45.897774293464515$	$60.32412452742269$		$D_{15}$ (as 15T2)	$[7]$	$2$	$7$	$4974627.527237572$
15.3.117...169.2	$x^{15} - 30 x^{13} - 12 x^{12} + 369 x^{11} + 171 x^{10} - 2769 x^{9} - 234 x^{8} + 16218 x^{7} + 2328 x^{6} - 58374 x^{5} - 50094 x^{4} + 18009 x^{3} + 57132 x^{2} - 42849 x + 4761$	$15$	[3,6]	$3^{24}\cdot 23^{10}$	$2$	$46.90428984384278$	$53.64476966753421$	?	$\GL(2,4)$ (as 15T15)	$[2, 2]$	$2$	$8$	$1466324.3755683254$
15.1.119...559.1	$x^{15} + 4 x - 1$	$15$	[1,7]	$-\,17\cdot 23\cdot 13252793\cdot 2302545459704993$	$4$	$46.9655586251$	$3454189762457.906$	✓	$S_{15}$ (as 15T104)	$[2]$	$2$	$7$	$6071805.28649$
15.5.151...875.1	$x^{15} - 15 x^{13} - 10 x^{12} + 90 x^{11} + 102 x^{10} - 175 x^{9} - 370 x^{8} - 35 x^{7} + 695 x^{6} + 44 x^{5} - 650 x^{4} + 230 x^{3} + 100 x^{2} - 30 x - 13$	$15$	[5,5]	$-\,5^{18}\cdot 331^{5}$	$2$	$47.7206850804$		?	$D_5\wr S_3$ (as 15T60)	$[2]$	$2$	$9$	$4704043.33333$
15.1.169...463.1	$x^{15} - 2 x^{14} + 9 x^{13} + 11 x^{12} + 33 x^{11} + 278 x^{10} + 129 x^{9} + 1308 x^{8} + 2201 x^{7} - 2926 x^{6} + 3987 x^{5} + 12457 x^{4} + 16035 x^{3} - 31676 x^{2} - 7695 x + 18225$	$15$	[1,7]	$-\,13^{10}\cdot 103^{7}$	$2$	$48.07872473920565$	$56.11093607183981$		$D_{15}$ (as 15T2)	$[3]$	$2$	$7$	$3829195.1566306357$
15.1.190...375.1	$x^{15} - 7$	$15$	[1,7]	$-\,3^{15}\cdot 5^{9}\cdot 7^{14}$	$3$	$48.4463907827$	$74.06740647434216$	?	$F_5 \times S_3$ (as 15T11)	$[3]$	$2$	$7$	$6961795.7233$
15.1.252...375.1	$x^{15} - x^{14} + 22 x^{13} - 16 x^{12} + 155 x^{11} - 91 x^{10} + 688 x^{9} - 5 x^{8} + 729 x^{7} + 1991 x^{6} - 591 x^{5} + 4859 x^{4} + 245 x^{3} + 2030 x^{2} + 588 x + 441$	$15$	[1,7]	$-\,5^{10}\cdot 7^{7}\cdot 11^{12}$	$3$	$49.37114920626093$	$52.679685194778465$		$D_{15}$ (as 15T2)	$[5]$	$2$	$7$	$6572318.734759705$
15.3.315...664.2	$x^{15} - 9 x^{13} - 16 x^{12} - 72 x^{11} - 102 x^{10} + 86 x^{9} - 288 x^{8} - 327 x^{7} + 2292 x^{6} + 1503 x^{5} - 4218 x^{4} - 4176 x^{3} - 108 x^{2} + 2592 x - 916$	$15$	[3,6]	$2^{16}\cdot 3^{20}\cdot 13^{10}$	$3$	$50.1059425984$	$246.38400592479093$	?	$C_3:S_3^4:F_5$ (as 15T84)	$[3]$	$2$	$8$	$8148769.03605$
15.1.642...000.1	$x^{15} - 2 x^{14} + 10 x^{13} - 60 x^{12} + 189 x^{11} + 14 x^{10} - 204 x^{9} - 856 x^{8} + 340 x^{7} + 728 x^{6} + 384 x^{5} + 1280 x^{4} + 1344 x^{3} - 2688 x^{2} - 1536 x - 1024$	$15$	[1,7]	$-\,2^{21}\cdot 5^{10}\cdot 11^{12}$	$3$	$52.545574529879865$	$56.3169523548482$		$D_{15}$ (as 15T2)	$[5]$	$2$	$7$	$297377853.7733301$
15.1.713...416.1	$x^{15} + 9 x - 8$	$15$	[1,7]	$-\,2^{14}\cdot 3^{5}\cdot 400474883\cdot 44756264521$	$4$	$52.9131587754$	$14665780496.474585$	?	$S_{15}$ (as 15T104)	$[2]$	$2$	$7$	$24030369.0479$
15.1.734...047.1	$x^{15} - 2 x^{14} + 11 x^{13} + 12 x^{12} - 63 x^{11} + 110 x^{10} + 292 x^{9} - 80 x^{8} + 3524 x^{7} + 15417 x^{6} + 21855 x^{5} + 2606 x^{4} - 41811 x^{3} - 74007 x^{2} - 51813 x - 13203$	$15$	[1,7]	$-\,13^{10}\cdot 127^{7}$	$2$	$53.01563545629796$	$62.30612786417537$		$D_{15}$ (as 15T2)	$[3]$	$2$	$7$	$8428286.437150639$
15.1.851...067.1	$x^{15} - 5 x^{14} + 3 x^{13} - 3 x^{12} + 38 x^{11} - 38 x^{10} + 313 x^{9} - 307 x^{8} + 507 x^{7} - 379 x^{6} - 1774 x^{5} - 24692 x^{4} - 54240 x^{3} - 97600 x^{2} - 75264 x - 66560$	$15$	[1,7]	$-\,11^{12}\cdot 83^{7}$	$2$	$53.54068516209438$	$62.03734374159571$		$D_{15}$ (as 15T2)	$[5]$	$2$	$7$	$19634160.617988475$
15.1.882...000.1	$x^{15} - 5 x^{14} + 15 x^{13} - 5 x^{12} - 105 x^{11} + 199 x^{10} + 465 x^{9} - 3795 x^{8} + 11760 x^{7} - 18170 x^{6} + 17784 x^{5} - 21040 x^{4} + 20800 x^{3} + 9440 x^{2} - 42880 x + 30976$	$15$	[1,7]	$-\,2^{14}\cdot 5^{19}\cdot 7^{10}$	$3$	$53.66881770517592$	$59.30477938264222$		$D_{15}$ (as 15T2)	$[3]$	$2$	$7$	$620344631.0257726$
15.1.912...539.1	$x^{15} - 7 x^{14} + 51 x^{13} - 225 x^{12} + 749 x^{11} - 1589 x^{10} + 2377 x^{9} - 1757 x^{8} + 1369 x^{7} - 4795 x^{6} + 28527 x^{5} - 89143 x^{4} + 196618 x^{3} - 264080 x^{2} + 207432 x - 71824$	$15$	[1,7]	$-\,13^{10}\cdot 131^{7}$	$2$	$53.788426460203866$	$63.27972007830352$		$D_{15}$ (as 15T2)	$[3]$	$2$	$7$	$21424246.49574488$
15.1.117...488.1	$x^{15} - 3 x - 4$	$15$	[1,7]	$-\,2^{14}\cdot 3^{15}\cdot 71\cdot 859\cdot 881\cdot 9292939$	$6$	$54.6983993696$		✓	$S_{15}$ (as 15T104)	$[2]$	$2$	$7$	$24861699.7289$
15.1.118...543.1	$x^{15} - 3 x^{14} + 7 x^{13} - 12 x^{12} + 94 x^{11} - 201 x^{10} + 462 x^{9} - 999 x^{8} + 4842 x^{7} - 5400 x^{6} + 14418 x^{5} - 41310 x^{4} + 164754 x^{3} - 168399 x^{2} + 118098 x - 59049$	$15$	[1,7]	$-\,3^{7}\cdot 11^{12}\cdot 29^{7}$	$3$	$54.729708205320485$	$63.51463028601322$		$D_{15}$ (as 15T2)	$[5]$	$2$	$7$	$45541138.297229245$
15.5.226...000.1	$x^{15} - 15 x^{13} + 90 x^{11} - 275 x^{9} + 450 x^{7} - 311 x^{5} - 195 x^{3} + 320 x - 64$	$15$	[5,5]	$-\,2^{12}\cdot 5^{15}\cdot 283^{5}$	$3$	$57.15525227998681$			$D_5^3.D_6$ (as 15T68)	$[2]$	$2$	$9$	$107014857.21312873$

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This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.