Rational L-function search results

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\mu$	$\nu$	$w$	prim	$\epsilon$	$r$	First zero	Origin
34-239e17-1.1-c1e17-0-0	$1.38$	$5.90\times 10^{4}$	$34$	$239^{17}$	1.1		$[1.0]^{17}$	$1$		$1$	$0$	$0.351401$	Modular form 239.2.a.b
34-251e17-1.1-c1e17-0-0	$1.41$	$1.35\times 10^{5}$	$34$	$251^{17}$	1.1		$[1.0]^{17}$	$1$		$1$	$0$	$0.390632$	Modular form 251.2.a.b
34-263e17-1.1-c1e17-0-0	$1.44$	$3.00\times 10^{5}$	$34$	$263^{17}$	1.1		$[1.0]^{17}$	$1$		$1$	$0$	$0.402155$	Modular form 263.2.a.b
34-349e17-1.1-c1e17-0-0	$1.66$	$3.68\times 10^{7}$	$34$	$349^{17}$	1.1		$[1.0]^{17}$	$1$		$1$	$0$	$0.457439$	Modular form 349.2.a.b
34-373e17-1.1-c1e17-0-0	$1.72$	$1.14\times 10^{8}$	$34$	$373^{17}$	1.1		$[1.0]^{17}$	$1$		$1$	$0$	$0.570964$	Modular form 373.2.a.c
34-487e17-1.1-c1e17-0-0	$1.97$	$1.06\times 10^{10}$	$34$	$487^{17}$	1.1		$[1.0]^{17}$	$1$		$-1$	$17$	$1.14048$	Modular form 487.2.a.e
34-623e17-1.1-c1e17-0-0	$2.23$	$6.99\times 10^{11}$	$34$	$7^{17} \cdot 89^{17}$	1.1		$[1.0]^{17}$	$1$		$1$	$0$	$0.487781$	Modular form 623.2.a.f
34-629e17-1.1-c1e17-0-0	$2.24$	$8.23\times 10^{11}$	$34$	$17^{17} \cdot 37^{17}$	1.1		$[1.0]^{17}$	$1$		$1$	$0$	$0.279843$	Modular form 629.2.a.h
34-649e17-1.1-c1e17-0-0	$2.27$	$1.40\times 10^{12}$	$34$	$11^{17} \cdot 59^{17}$	1.1		$[1.0]^{17}$	$1$		$1$	$0$	$0.177514$	Modular form 649.2.a.f
34-653e17-1.1-c1e17-0-0	$2.28$	$1.55\times 10^{12}$	$34$	$653^{17}$	1.1		$[1.0]^{17}$	$1$		$-1$	$17$	$1.10774$	Modular form 653.2.a.b
34-679e17-1.1-c1e17-0-0	$2.32$	$3.02\times 10^{12}$	$34$	$7^{17} \cdot 97^{17}$	1.1		$[1.0]^{17}$	$1$		$1$	$0$	$0.267648$	Modular form 679.2.a.f
34-695e17-1.1-c1e17-0-0	$2.35$	$4.49\times 10^{12}$	$34$	$5^{17} \cdot 139^{17}$	1.1		$[1.0]^{17}$	$1$		$1$	$0$	$0.642388$	Modular form 695.2.a.c
34-737e17-1.1-c1e17-0-0	$2.42$	$1.21\times 10^{13}$	$34$	$11^{17} \cdot 67^{17}$	1.1		$[1.0]^{17}$	$1$		$1$	$0$	$0.593712$	Modular form 737.2.a.f
34-763e17-1.1-c1e17-0-0	$2.46$	$2.19\times 10^{13}$	$34$	$7^{17} \cdot 109^{17}$	1.1		$[1.0]^{17}$	$1$		$1$	$0$	$0.621544$	Modular form 763.2.a.e
34-767e17-1.1-c1e17-0-0	$2.47$	$2.40\times 10^{13}$	$34$	$13^{17} \cdot 59^{17}$	1.1		$[1.0]^{17}$	$1$		$1$	$0$	$0.304315$	Modular form 767.2.a.e
34-799e17-1.1-c1e17-0-0	$2.52$	$4.80\times 10^{13}$	$34$	$17^{17} \cdot 47^{17}$	1.1		$[1.0]^{17}$	$1$		$1$	$0$	$0.371380$	Modular form 799.2.a.f
34-813e17-1.1-c1e17-0-0	$2.54$	$6.46\times 10^{13}$	$34$	$3^{17} \cdot 271^{17}$	1.1		$[1.0]^{17}$	$1$		$1$	$0$	$0.619184$	Modular form 813.2.a.f
34-831e17-1.1-c1e17-0-0	$2.57$	$9.37\times 10^{13}$	$34$	$3^{17} \cdot 277^{17}$	1.1		$[1.0]^{17}$	$1$		$1$	$0$	$0.436023$	Modular form 831.2.a.d
34-879e17-1.1-c1e17-0-0	$2.64$	$2.43\times 10^{14}$	$34$	$3^{17} \cdot 293^{17}$	1.1		$[1.0]^{17}$	$1$		$1$	$0$	$0.595941$	Modular form 879.2.a.c
34-905e17-1.1-c1e17-0-0	$2.68$	$3.99\times 10^{14}$	$34$	$5^{17} \cdot 181^{17}$	1.1		$[1.0]^{17}$	$1$		$1$	$0$	$0.734479$	Modular form 905.2.a.f
34-913e17-1.1-c1e17-0-0	$2.70$	$4.64\times 10^{14}$	$34$	$11^{17} \cdot 83^{17}$	1.1		$[1.0]^{17}$	$1$		$1$	$0$	$0.503657$	Modular form 913.2.a.g
34-127e17-1.1-c3e17-0-0	$2.73$	$7.40\times 10^{14}$	$34$	$127^{17}$	1.1		$[3.0]^{17}$	$3$		$1$	$0$	$0.609231$	Modular form 127.4.a.c
34-955e17-1.1-c1e17-0-0	$2.76$	$9.97\times 10^{14}$	$34$	$5^{17} \cdot 191^{17}$	1.1		$[1.0]^{17}$	$1$		$1$	$0$	$0.186014$	Modular form 955.2.a.e
34-955e17-1.1-c1e17-0-1	$2.76$	$9.97\times 10^{14}$	$34$	$5^{17} \cdot 191^{17}$	1.1		$[1.0]^{17}$	$1$		$1$	$0$	$0.616324$	Modular form 955.2.a.f
34-979e17-1.1-c1e17-0-0	$2.79$	$1.52\times 10^{15}$	$34$	$11^{17} \cdot 89^{17}$	1.1		$[1.0]^{17}$	$1$		$-1$	$17$	$1.06073$	Modular form 979.2.a.d
34-985e17-1.1-c1e17-0-0	$2.80$	$1.68\times 10^{15}$	$34$	$5^{17} \cdot 197^{17}$	1.1		$[1.0]^{17}$	$1$		$1$	$0$	$0.251599$	Modular form 985.2.a.g
34-1011e17-1.1-c1e17-0-0	$2.84$	$2.62\times 10^{15}$	$34$	$3^{17} \cdot 337^{17}$	1.1		$[1.0]^{17}$	$1$		$1$	$0$	$0.159371$	Modular form 1011.2.a.e
34-1027e17-1.1-c1e17-0-0	$2.86$	$3.43\times 10^{15}$	$34$	$13^{17} \cdot 79^{17}$	1.1		$[1.0]^{17}$	$1$		$-1$	$17$	$0.875824$	Modular form 1027.2.a.b
34-1046e17-1.1-c1e17-0-0	$2.89$	$4.68\times 10^{15}$	$34$	$2^{17} \cdot 523^{17}$	1.1		$[1.0]^{17}$	$1$		$1$	$0$	$0.429074$	Modular form 1046.2.a.d
34-1059e17-1.1-c1e17-0-0	$2.90$	$5.78\times 10^{15}$	$34$	$3^{17} \cdot 353^{17}$	1.1		$[1.0]^{17}$	$1$		$1$	$0$	$0.301717$	Modular form 1059.2.a.f
34-1073e17-1.1-c1e17-0-0	$2.92$	$7.22\times 10^{15}$	$34$	$29^{17} \cdot 37^{17}$	1.1		$[1.0]^{17}$	$1$		$1$	$0$	$0.611021$	Modular form 1073.2.a.f
34-1076e17-1.1-c1e17-0-0	$2.93$	$7.57\times 10^{15}$	$34$	$2^{34} \cdot 269^{17}$	1.1		$[1.0]^{17}$	$1$		$1$	$0$	$0.186792$	Modular form 1076.2.a.b
34-1081e17-1.1-c1e17-0-0	$2.93$	$8.19\times 10^{15}$	$34$	$23^{17} \cdot 47^{17}$	1.1		$[1.0]^{17}$	$1$		$-1$	$17$	$0.850908$	Modular form 1081.2.a.a
34-1115e17-1.1-c1e17-0-0	$2.98$	$1.38\times 10^{16}$	$34$	$5^{17} \cdot 223^{17}$	1.1		$[1.0]^{17}$	$1$		$1$	$0$	$0.251899$	Modular form 1115.2.a.g
34-1121e17-1.1-c1e17-0-0	$2.99$	$1.52\times 10^{16}$	$34$	$19^{17} \cdot 59^{17}$	1.1		$[1.0]^{17}$	$1$		$-1$	$17$	$1.02902$	Modular form 1121.2.a.b
34-1124e17-1.1-c1e17-0-0	$2.99$	$1.59\times 10^{16}$	$34$	$2^{34} \cdot 281^{17}$	1.1		$[1.0]^{17}$	$1$		$1$	$0$	$0.226609$	Modular form 1124.2.a.b
34-1138e17-1.1-c1e17-0-0	$3.01$	$1.96\times 10^{16}$	$34$	$2^{17} \cdot 569^{17}$	1.1		$[1.0]^{17}$	$1$		$1$	$0$	$0.627577$	Modular form 1138.2.a.e
34-1141e17-1.1-c1e17-0-0	$3.01$	$2.05\times 10^{16}$	$34$	$7^{17} \cdot 163^{17}$	1.1		$[1.0]^{17}$	$1$		$-1$	$17$	$0.960398$	Modular form 1141.2.a.h
34-1145e17-1.1-c1e17-0-0	$3.02$	$2.17\times 10^{16}$	$34$	$5^{17} \cdot 229^{17}$	1.1		$[1.0]^{17}$	$1$		$-1$	$17$	$0.986639$	Modular form 1145.2.a.d
34-1149e17-1.1-c1e17-0-0	$3.02$	$2.31\times 10^{16}$	$34$	$3^{17} \cdot 383^{17}$	1.1		$[1.0]^{17}$	$1$		$1$	$0$	$0.593901$	Modular form 1149.2.a.g
34-1214e17-1.1-c1e17-0-0	$3.11$	$5.89\times 10^{16}$	$34$	$2^{17} \cdot 607^{17}$	1.1		$[1.0]^{17}$	$1$		$1$	$0$	$0.608662$	Modular form 1214.2.a.c
34-1226e17-1.1-c1e17-0-0	$3.12$	$6.96\times 10^{16}$	$34$	$2^{17} \cdot 613^{17}$	1.1		$[1.0]^{17}$	$1$		$1$	$0$	$0.161760$	Modular form 1226.2.a.e
34-1227e17-1.1-c1e17-0-0	$3.13$	$7.06\times 10^{16}$	$34$	$3^{17} \cdot 409^{17}$	1.1		$[1.0]^{17}$	$1$		$-1$	$17$	$0.955132$	Modular form 1227.2.a.g
34-1238e17-1.1-c1e17-0-0	$3.14$	$8.22\times 10^{16}$	$34$	$2^{17} \cdot 619^{17}$	1.1		$[1.0]^{17}$	$1$		$1$	$0$	$0.239301$	Modular form 1238.2.a.f
34-1241e17-1.1-c1e17-0-0	$3.14$	$8.56\times 10^{16}$	$34$	$17^{17} \cdot 73^{17}$	1.1		$[1.0]^{17}$	$1$		$1$	$0$	$0.267007$	Modular form 1241.2.a.b
34-1262e17-1.1-c1e17-0-0	$3.17$	$1.13\times 10^{17}$	$34$	$2^{17} \cdot 631^{17}$	1.1		$[1.0]^{17}$	$1$		$1$	$0$	$0.557044$	Modular form 1262.2.a.e
34-1271e17-1.1-c1e17-0-0	$3.18$	$1.28\times 10^{17}$	$34$	$31^{17} \cdot 41^{17}$	1.1		$[1.0]^{17}$	$1$		$-1$	$17$	$1.06956$	Modular form 1271.2.a.c
34-1293e17-1.1-c1e17-0-0	$3.21$	$1.72\times 10^{17}$	$34$	$3^{17} \cdot 431^{17}$	1.1		$[1.0]^{17}$	$1$		$1$	$0$	$0.569886$	Modular form 1293.2.a.i
34-1294e17-1.1-c1e17-0-0	$3.21$	$1.74\times 10^{17}$	$34$	$2^{17} \cdot 647^{17}$	1.1		$[1.0]^{17}$	$1$		$1$	$0$	$0.212798$	Modular form 1294.2.a.d
34-1299e17-1.1-c1e17-0-0	$3.22$	$1.86\times 10^{17}$	$34$	$3^{17} \cdot 433^{17}$	1.1		$[1.0]^{17}$	$1$		$-1$	$17$	$1.00088$	Modular form 1299.2.a.i

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