LMFDB - Embedded newform 21.6.g.c.5.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [21,6,Mod(5,21)]

mf = mfinit([N,k,chi],0)

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(21, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([3, 5]))

N = Newforms(chi, 6, names="a")

//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code

chi := DirichletCharacter("21.5");

S:= CuspForms(chi, 6);

N := Newforms(S);

Level:	$ N $	$=$	$ 21 = 3 \cdot 7 $
Weight:	$ k $	$=$	$ 6 $
Character orbit:	$[\chi]$	$=$	21.g (of order $6$, degree $2$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

gp: f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$3.36806021607$
Analytic rank:	$0$
Dimension:	$16$
Relative dimension:	$8$ over $\Q(\zeta_{6})$
Coefficient field:	$\mathbb{Q}[x]/(x^{16} - \cdots)$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{16} - 171 x^{14} + 21495 x^{12} - 1128902 x^{10} + 42970860 x^{8} - 655075344 x^{6} + \cdots + 90230547456 $ x^16 - 171x^14 + 21495x^12 - 1128902x^10 + 42970860x^8 - 655075344x^6 + 7244325760x^4 - 29387167488*x^2 + 90230547456
Coefficient ring:	$\Z[a_1, \ldots, a_{5}]$
Coefficient ring index:	$ 2^{4}\cdot 3^{8} $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			5.2
Root			$-5.89199 - 3.40174i$ of defining polynomial
Character	$\chi$	$=$	21.5
Dual form			21.6.g.c.17.2

$q$-expansion

comment: q-expansion

sage: f.q_expansion() # note that sage often uses an isomorphic number field

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-5.89199 - 3.40174i) q^{2} +(1.92849 - 15.4687i) q^{3} +(7.14372 + 12.3733i) q^{4} +(-7.45706 + 12.9160i) q^{5} +(-63.9832 + 84.5813i) q^{6} +(-125.096 + 34.0278i) q^{7} +120.507i q^{8} +(-235.562 - 59.6625i) q^{9} +O(q^{10})$	\(q+(-5.89199 - 3.40174i) q^{2} +(1.92849 - 15.4687i) q^{3} +(7.14372 + 12.3733i) q^{4} +(-7.45706 + 12.9160i) q^{5} +(-63.9832 + 84.5813i) q^{6} +(-125.096 + 34.0278i) q^{7} +120.507i q^{8} +(-235.562 - 59.6625i) q^{9} +(87.8738 - 50.7340i) q^{10} +(83.2023 - 48.0368i) q^{11} +(205.175 - 86.6424i) q^{12} -416.854i q^{13} +(852.821 + 225.054i) q^{14} +(185.413 + 140.259i) q^{15} +(638.534 - 1105.97i) q^{16} +(-104.249 - 180.565i) q^{17} +(1184.97 + 1152.85i) q^{18} +(-2296.16 - 1325.69i) q^{19} -213.085 q^{20} +(285.119 + 2000.70i) q^{21} -653.636 q^{22} +(-2267.02 - 1308.86i) q^{23} +(1864.09 + 232.397i) q^{24} +(1451.28 + 2513.70i) q^{25} +(-1418.03 + 2456.10i) q^{26} +(-1377.18 + 3528.78i) q^{27} +(-1314.69 - 1304.77i) q^{28} -7220.50i q^{29} +(-615.325 - 1457.13i) q^{30} +(3721.66 - 2148.70i) q^{31} +(-4184.88 + 2416.14i) q^{32} +(-582.613 - 1379.67i) q^{33} +1418.52i q^{34} +(493.347 - 1869.49i) q^{35} +(-944.567 - 3340.89i) q^{36} +(-1839.50 + 3186.10i) q^{37} +(9019.31 + 15621.9i) q^{38} +(-6448.19 - 803.898i) q^{39} +(-1556.47 - 898.629i) q^{40} +15452.3 q^{41} +(5125.95 - 12758.0i) q^{42} -6011.11 q^{43} +(1188.75 + 686.324i) q^{44} +(2527.20 - 2597.61i) q^{45} +(8904.83 + 15423.6i) q^{46} +(1953.72 - 3383.94i) q^{47} +(-15876.6 - 12010.1i) q^{48} +(14491.2 - 8513.51i) q^{49} -19747.6i q^{50} +(-2994.15 + 1264.38i) q^{51} +(5157.85 - 2977.89i) q^{52} +(-31434.3 + 18148.6i) q^{53} +(20118.3 - 16106.7i) q^{54} +1432.85i q^{55} +(-4100.60 - 15075.0i) q^{56} +(-24934.8 + 32962.1i) q^{57} +(-24562.3 + 42543.1i) q^{58} +(3913.73 + 6778.77i) q^{59} +(-410.931 + 3296.14i) q^{60} +(17488.2 + 10096.8i) q^{61} -29237.3 q^{62} +(31498.1 - 552.092i) q^{63} -7989.78 q^{64} +(5384.08 + 3108.50i) q^{65} +(-1260.53 + 10110.9i) q^{66} +(-21969.0 - 38051.4i) q^{67} +(1489.45 - 2579.81i) q^{68} +(-24618.3 + 32543.7i) q^{69} +(-9266.33 + 9336.79i) q^{70} -26028.0i q^{71} +(7189.76 - 28386.9i) q^{72} +(44090.5 - 25455.6i) q^{73} +(21676.6 - 12515.0i) q^{74} +(41682.5 - 17601.9i) q^{75} -37881.4i q^{76} +(-8773.71 + 8840.43i) q^{77} +(35258.0 + 26671.6i) q^{78} +(25057.2 - 43400.3i) q^{79} +(9523.16 + 16494.6i) q^{80} +(51929.8 + 28108.4i) q^{81} +(-91044.6 - 52564.6i) q^{82} +107835. q^{83} +(-22718.5 + 17820.3i) q^{84} +3109.57 q^{85} +(35417.4 + 20448.3i) q^{86} +(-111692. - 13924.7i) q^{87} +(5788.78 + 10026.5i) q^{88} +(-68389.3 + 118454. i) q^{89} +(-23726.6 + 6708.22i) q^{90} +(14184.6 + 52146.9i) q^{91} -37400.6i q^{92} +(-26060.5 - 61713.1i) q^{93} +(-23022.6 + 13292.1i) q^{94} +(34245.2 - 19771.5i) q^{95} +(29304.1 + 69394.2i) q^{96} +25183.4i q^{97} +(-114343. + 866.170i) q^{98} +(-22465.3 + 6351.59i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 16 q + 18 q^{3} + 86 q^{4} - 616 q^{7} - 606 q^{9}+O(q^{10}) $ 16 * q + 18 * q^3 + 86 * q^4 - 616 * q^7 - 606 * q^9	$ 16 q + 18 q^{3} + 86 q^{4} - 616 q^{7} - 606 q^{9} - 546 q^{10} + 4128 q^{12} + 1188 q^{15} - 2858 q^{16} - 438 q^{18} + 3258 q^{19} + 882 q^{21} - 21900 q^{22} + 10374 q^{24} - 6578 q^{25} + 34006 q^{28} + 450 q^{30} - 9792 q^{31} + 17556 q^{33} - 15132 q^{36} - 10466 q^{37} - 17418 q^{39} - 60774 q^{40} - 56994 q^{42} + 111052 q^{43} - 31374 q^{45} + 81696 q^{46} - 51548 q^{49} + 31596 q^{51} + 126960 q^{52} + 7434 q^{54} - 31368 q^{57} - 41706 q^{58} + 60066 q^{60} - 128580 q^{61} - 123606 q^{63} - 158884 q^{64} - 160314 q^{66} - 102202 q^{67} + 234318 q^{70} + 330864 q^{72} + 345150 q^{73} + 428202 q^{75} - 277512 q^{78} - 251308 q^{79} + 179262 q^{81} - 534576 q^{82} + 106176 q^{84} + 205152 q^{85} - 551922 q^{87} - 359514 q^{88} + 65814 q^{91} + 17676 q^{93} + 276612 q^{94} + 1043910 q^{96} + 215472 q^{99}+O(q^{100}) $ 16 * q + 18 * q^3 + 86 * q^4 - 616 * q^7 - 606 * q^9 - 546 * q^10 + 4128 * q^12 + 1188 * q^15 - 2858 * q^16 - 438 * q^18 + 3258 * q^19 + 882 * q^21 - 21900 * q^22 + 10374 * q^24 - 6578 * q^25 + 34006 * q^28 + 450 * q^30 - 9792 * q^31 + 17556 * q^33 - 15132 * q^36 - 10466 * q^37 - 17418 * q^39 - 60774 * q^40 - 56994 * q^42 + 111052 * q^43 - 31374 * q^45 + 81696 * q^46 - 51548 * q^49 + 31596 * q^51 + 126960 * q^52 + 7434 * q^54 - 31368 * q^57 - 41706 * q^58 + 60066 * q^60 - 128580 * q^61 - 123606 * q^63 - 158884 * q^64 - 160314 * q^66 - 102202 * q^67 + 234318 * q^70 + 330864 * q^72 + 345150 * q^73 + 428202 * q^75 - 277512 * q^78 - 251308 * q^79 + 179262 * q^81 - 534576 * q^82 + 106176 * q^84 + 205152 * q^85 - 551922 * q^87 - 359514 * q^88 + 65814 * q^91 + 17676 * q^93 + 276612 * q^94 + 1043910 * q^96 + 215472 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/21\mathbb{Z}\right)^\times$.

$n$	$8$	$10$
$\chi(n)$	$-1$	$e\left(\frac{5}{6}\right)$

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	−5.89199	−	3.40174i	−1.04157	−	0.601349i	−0.121290	−	0.992617i	$-0.538703\pi$
$2$	−5.89199	−	3.40174i	−1.04157	−	0.601349i	−0.920277	+	0.391268i	$0.872037\pi$
$3$	1.92849	−	15.4687i	0.123713	−	0.992318i
$3$	1.92849	−	15.4687i	0.123713	−	0.992318i
$4$	7.14372	+	12.3733i	0.223241	+	0.386665i
$5$	−7.45706	+	12.9160i	−0.133396	+	0.231048i	−0.924984	−	0.380007i	$-0.875922\pi$
$5$	−7.45706	+	12.9160i	−0.133396	+	0.231048i	0.791588	+	0.611056i	$0.209255\pi$
$6$	−63.9832	+	84.5813i	−0.725585	+	0.959171i
$7$	−125.096	+	34.0278i	−0.964939	+	0.262476i
$7$	−125.096	+	34.0278i	−0.964939	+	0.262476i
$8$			120.507i			0.665714i
$9$	−235.562	−	59.6625i	−0.969390	−	0.245525i
$10$	87.8738	−	50.7340i	0.277881	−	0.160435i
$11$	83.2023	−	48.0368i	0.207326	−	0.119700i	−0.392742	−	0.919649i	$-0.628474\pi$
$11$	83.2023	−	48.0368i	0.207326	−	0.119700i	0.600068	+	0.799949i	$0.295140\pi$
$12$	205.175	−	86.6424i	0.411313	−	0.173691i
$13$		−	416.854i		−	0.684109i	−0.939680	−	0.342055i	$-0.888877\pi$
$13$		−	416.854i		−	0.684109i	0.939680	−	0.342055i	$-0.111123\pi$
$14$	852.821	+	225.054i	1.16289	+	0.306879i
$15$	185.413	+	140.259i	0.212771	+	0.160955i
$16$	638.534	−	1105.97i	0.623568	−	1.08005i
$17$	−104.249	−	180.565i	−0.0874884	−	0.151534i	0.818960	−	0.573850i	$-0.194551\pi$
$17$	−104.249	−	180.565i	−0.0874884	−	0.151534i	−0.906449	+	0.422316i	$0.861217\pi$
$18$	1184.97	+	1152.85i	0.862039	+	0.838672i
$19$	−2296.16	−	1325.69i	−1.45921	−	0.842476i	−0.460239	−	0.887795i	$-0.652236\pi$
$19$	−2296.16	−	1325.69i	−1.45921	−	0.842476i	−0.998973	+	0.0453185i	$0.985570\pi$
$20$	−213.085			−0.119118
$21$	285.119	+	2000.70i	0.141084	+	0.989998i
$22$	−653.636			−0.287925
$23$	−2267.02	−	1308.86i	−0.893584	−	0.515911i	−0.0184706	−	0.999829i	$-0.505880\pi$
$23$	−2267.02	−	1308.86i	−0.893584	−	0.515911i	−0.875113	+	0.483919i	$0.839213\pi$
$24$	1864.09	+	232.397i	0.660600	+	0.0823573i
$25$	1451.28	+	2513.70i	0.464411	+	0.804384i
$26$	−1418.03	+	2456.10i	−0.411388	+	0.712545i
$27$	−1377.18	+	3528.78i	−0.363564	+	0.931569i
$28$	−1314.69	−	1304.77i	−0.316904	−	0.314513i
$29$		−	7220.50i		−	1.59431i	−0.603776	−	0.797154i	$-0.706338\pi$
$29$		−	7220.50i		−	1.59431i	0.603776	−	0.797154i	$-0.293662\pi$
$30$	−615.325	−	1457.13i	−0.124825	−	0.295595i
$31$	3721.66	−	2148.70i	0.695557	−	0.401580i	−0.110133	−	0.993917i	$-0.535128\pi$
$31$	3721.66	−	2148.70i	0.695557	−	0.401580i	0.805690	+	0.592337i	$0.201794\pi$
$32$	−4184.88	+	2416.14i	−0.722450	+	0.417107i
$33$	−582.613	−	1379.67i	−0.0931313	−	0.220542i
$34$			1418.52i			0.210444i
$35$	493.347	−	1869.49i	0.0680742	−	0.257961i
$36$	−944.567	−	3340.89i	−0.121472	−	0.429641i
$37$	−1839.50	+	3186.10i	−0.220900	+	0.382609i	−0.955081	−	0.296344i	$-0.904233\pi$
$37$	−1839.50	+	3186.10i	−0.220900	+	0.382609i	0.734182	+	0.678953i	$0.237566\pi$
$38$	9019.31	+	15621.9i	1.01324	+	1.75499i
$39$	−6448.19	−	803.898i	−0.678854	−	0.0846330i
$40$	−1556.47	−	898.629i	−0.153812	−	0.0888035i
$41$	15452.3			1.43560			0.717798	−	0.696251i	$-0.245150\pi$
$41$	15452.3			1.43560			0.717798	+	0.696251i	$0.245150\pi$
$42$	5125.95	−	12758.0i	0.448385	−	1.11599i
$43$	−6011.11			−0.495774			−0.247887	−	0.968789i	$-0.579736\pi$
$43$	−6011.11			−0.495774			−0.247887	+	0.968789i	$0.579736\pi$
$44$	1188.75	+	686.324i	0.0925674	+	0.0534438i
$45$	2527.20	−	2597.61i	0.186041	−	0.191224i
$46$	8904.83	+	15423.6i	0.620485	+	1.07471i
$47$	1953.72	−	3383.94i	0.129008	−	0.223449i	−0.794284	−	0.607546i	$-0.792154\pi$
$47$	1953.72	−	3383.94i	0.129008	−	0.223449i	0.923293	+	0.384097i	$0.125487\pi$
$48$	−15876.6	−	12010.1i	−0.994611	−	0.752394i
$49$	14491.2	−	8513.51i	0.862213	−	0.506546i
$50$		−	19747.6i		−	1.11709i
$51$	−2994.15	+	1264.38i	−0.161194	+	0.0680696i
$52$	5157.85	−	2977.89i	0.264521	−	0.152721i
$53$	−31434.3	+	18148.6i	−1.53714	+	0.887469i	−0.538136	+	0.842858i	$0.680871\pi$
$53$	−31434.3	+	18148.6i	−1.53714	+	0.887469i	−0.999004	+	0.0446107i	$0.985795\pi$
$54$	20118.3	−	16106.7i	0.938875	−	0.751662i
$55$			1432.85i			0.0638697i
$56$	−4100.60	−	15075.0i	−0.174734	−	0.642373i
$57$	−24934.8	+	32962.1i	−1.01653	+	1.34378i
$58$	−24562.3	+	42543.1i	−0.958736	+	1.66058i
$59$	3913.73	+	6778.77i	0.146373	+	0.253525i	0.929884	−	0.367852i	$-0.119907\pi$
$59$	3913.73	+	6778.77i	0.146373	+	0.253525i	−0.783511	+	0.621377i	$0.786573\pi$
$60$	−410.931	+	3296.14i	−0.0147364	+	0.118203i
$61$	17488.2	+	10096.8i	0.601758	+	0.347425i	0.769733	−	0.638366i	$-0.220389\pi$
$61$	17488.2	+	10096.8i	0.601758	+	0.347425i	−0.167975	+	0.985791i	$0.553723\pi$
$62$	−29237.3			−0.965959
$63$	31498.1	−	552.092i	0.999846	−	0.0175251i
$64$	−7989.78			−0.243829
$65$	5384.08	+	3108.50i	0.158062	+	0.0912573i
$66$	−1260.53	+	10110.9i	−0.0356200	+	0.285713i
$67$	−21969.0	−	38051.4i	−0.597892	−	1.03558i	−0.993132	−	0.117001i	$-0.962672\pi$
$67$	−21969.0	−	38051.4i	−0.597892	−	1.03558i	0.395240	−	0.918578i	$-0.370662\pi$
$68$	1489.45	−	2579.81i	0.0390621	−	0.0676575i
$69$	−24618.3	+	32543.7i	−0.622495	+	0.822894i
$70$	−9266.33	+	9336.79i	−0.226028	+	0.227747i
$71$		−	26028.0i		−	0.612765i	−0.951908	−	0.306383i	$-0.900881\pi$
$71$		−	26028.0i		−	0.612765i	0.951908	−	0.306383i	$-0.0991187\pi$
$72$	7189.76	−	28386.9i	0.163449	−	0.645337i
$73$	44090.5	−	25455.6i	0.968361	−	0.559084i	0.0696251	−	0.997573i	$-0.477820\pi$
$73$	44090.5	−	25455.6i	0.968361	−	0.559084i	0.898736	+	0.438490i	$0.144486\pi$
$74$	21676.6	−	12515.0i	0.460164	−	0.265676i
$75$	41682.5	−	17601.9i	0.855658	−	0.361331i
$76$		−	37881.4i		−	0.752302i
$77$	−8773.71	+	8840.43i	−0.168638	+	0.169921i
$78$	35258.0	+	26671.6i	0.656178	+	0.496379i
$79$	25057.2	−	43400.3i	0.451715	−	0.782393i	−0.546778	−	0.837278i	$-0.684146\pi$
$79$	25057.2	−	43400.3i	0.451715	−	0.782393i	0.998493	+	0.0548850i	$0.0174792\pi$
$80$	9523.16	+	16494.6i	0.166363	+	0.288149i
$81$	51929.8	+	28108.4i	0.879435	+	0.476019i
$82$	−91044.6	−	52564.6i	−1.49527	−	0.863294i
$83$	107835.			1.71817			0.859086	−	0.511832i	$-0.171033\pi$
$83$	107835.			1.71817			0.859086	+	0.511832i	$0.171033\pi$
$84$	−22718.5	+	17820.3i	−0.351302	+	0.275561i
$85$	3109.57			0.0466824
$86$	35417.4	+	20448.3i	0.516382	+	0.298133i
$87$	−111692.	−	13924.7i	−1.58206	−	0.197236i
$88$	5788.78	+	10026.5i	0.0796857	+	0.138020i
$89$	−68389.3	+	118454.i	−0.915194	+	1.58516i	−0.108577	+	0.994088i	$0.534630\pi$
$89$	−68389.3	+	118454.i	−0.915194	+	1.58516i	−0.806617	+	0.591075i	$0.798704\pi$
$90$	−23726.6	+	6708.22i	−0.308766	+	0.0872973i
$91$	14184.6	+	52146.9i	0.179562	+	0.660123i
$92$		−	37400.6i		−	0.460690i
$93$	−26060.5	−	61713.1i	−0.312446	−	0.739894i
$94$	−23022.6	+	13292.1i	−0.268741	+	0.155158i
$95$	34245.2	−	19771.5i	0.389306	−	0.224766i
$96$	29304.1	+	69394.2i	0.324526	+	0.768502i
$97$			25183.4i			0.271759i	0.990725	+	0.135880i	$0.0433861\pi$
$97$			25183.4i			0.271759i	−0.990725	+	0.135880i	$0.956614\pi$
$98$	−114343.	+	866.170i	−1.20266	+	0.00911041i
$99$	−22465.3	+	6351.59i	−0.230369	+	0.0651320i
$100$	−20735.1	+	35914.3i	−0.207351	+	0.359143i
$101$	−39031.4	−	67604.3i	−0.380724	−	0.659434i	0.610442	−	0.792061i	$-0.290992\pi$
$101$	−39031.4	−	67604.3i	−0.380724	−	0.659434i	−0.991166	+	0.132628i	$0.957659\pi$
$102$	21942.6	+	2735.60i	0.208828	+	0.0260346i
$103$	−84863.5	−	48996.0i	−0.788184	−	0.455059i	0.0511385	−	0.998692i	$-0.483715\pi$
$103$	−84863.5	−	48996.0i	−0.788184	−	0.455059i	−0.839323	+	0.543633i	$0.817048\pi$
$104$	50233.9			0.455421
$105$	−27967.2	−	11236.7i	−0.247557	−	0.0994643i
$106$	246947.			2.13471
$107$	−116995.	−	67547.4i	−0.987892	−	0.570360i	−0.0832486	−	0.996529i	$-0.526530\pi$
$107$	−116995.	−	67547.4i	−0.987892	−	0.570360i	−0.904644	+	0.426169i	$0.859863\pi$
$108$	−53500.8	+	8168.36i	−0.441368	+	0.0673869i
$109$	−37566.0	−	65066.2i	−0.302851	−	0.524553i	0.673930	−	0.738796i	$-0.264605\pi$
$109$	−37566.0	−	65066.2i	−0.302851	−	0.524553i	−0.976781	+	0.214242i	$0.931272\pi$
$110$	4874.20	−	8442.36i	0.0384080	−	0.0665246i
$111$	45737.5	+	34599.0i	0.352342	+	0.266536i
$112$	−42244.4	+	160081.i	−0.318218	+	1.20585i
$113$			88078.7i			0.648895i	0.945904	+	0.324448i	$0.105178\pi$
$113$			88078.7i			0.648895i	−0.945904	+	0.324448i	$0.894822\pi$
$114$	259044.	−	109390.i	1.86686	−	0.788346i
$115$	33810.5	−	19520.5i	0.238401	−	0.137641i
$116$	89341.3	−	51581.3i	0.616464	−	0.355915i
$117$	−24870.5	+	98194.8i	−0.167966	+	0.663169i
$118$		−	53254.0i		−	0.352085i
$119$	19185.4	+	19040.7i	0.124195	+	0.123258i
$120$	−16902.3	+	22343.6i	−0.107150	+	0.141645i
$121$	−75910.4	+	131481.i	−0.471344	+	0.816392i
$122$	−68693.8	−	118981.i	−0.417847	−	0.723733i
$123$	29799.5	−	239026.i	0.177601	−	1.42457i
$124$	53173.0	+	30699.5i	0.310554	+	0.179298i
$125$	−89895.8			−0.514594
$126$	−187465.	−	103896.i	−1.05195	−	0.583003i
$127$	−141581.			−0.778923			−0.389462	−	0.921043i	$-0.627339\pi$
$127$	−141581.			−0.778923			−0.389462	+	0.921043i	$0.627339\pi$
$128$	180992.	+	104496.i	0.976414	+	0.563733i
$129$	−11592.4	+	92984.1i	−0.0613335	+	0.491965i
$130$	−21148.7	−	36630.5i	−0.109755	−	0.190101i
$131$	76598.4	−	132672.i	0.389979	−	0.675464i	−0.602467	−	0.798144i	$-0.705815\pi$
$131$	76598.4	−	132672.i	0.389979	−	0.675464i	0.992446	+	0.122680i	$0.0391488\pi$
$132$	12909.0	−	17064.8i	0.0644850	−	0.0852446i
$133$	332352.	+	87705.6i	1.62918	+	0.429930i
$134$			298931.i			1.43817i
$135$	−35308.0	−	44102.0i	−0.166740	−	0.208268i
$136$	21759.4	−	12562.8i	0.100879	−	0.0582423i
$137$	78150.0	−	45119.9i	0.355736	−	0.205384i	−0.311473	−	0.950255i	$-0.600822\pi$
$137$	78150.0	−	45119.9i	0.355736	−	0.205384i	0.667209	+	0.744871i	$0.267489\pi$
$138$	255756.	−	108002.i	1.14322	−	0.482763i
$139$		−	133215.i		−	0.584814i	−0.956294	−	0.292407i	$-0.905544\pi$
$139$		−	133215.i		−	0.584814i	0.956294	−	0.292407i	$-0.0944562\pi$
$140$	26656.1	−	7250.80i	0.114941	−	0.0312655i
$141$	−48577.5	−	36747.4i	−0.205772	−	0.155661i
$142$	−88540.4	+	153357.i	−0.368486	+	0.638236i
$143$	−20024.3	−	34683.2i	−0.0818876	−	0.141833i
$144$	−216399.	+	222428.i	−0.869660	+	0.893890i
$145$	93260.0	+	53843.7i	0.368362	+	0.212674i
$146$	−346374.			−1.34482
$147$	−103747.	−	240579.i	−0.395988	−	0.918256i
$148$	−52563.5			−0.197256
$149$	24381.5	+	14076.7i	0.0899694	+	0.0519439i	0.544310	−	0.838884i	$-0.316792\pi$
$149$	24381.5	+	14076.7i	0.0899694	+	0.0519439i	−0.454340	+	0.890828i	$0.650125\pi$
$150$	−305470.	−	38083.0i	−1.10851	−	0.138199i
$151$	3273.37	+	5669.65i	0.0116830	+	0.0202355i	0.871808	−	0.489848i	$-0.162948\pi$
$151$	3273.37	+	5669.65i	0.0116830	+	0.0202355i	−0.860125	+	0.510084i	$0.829614\pi$
$152$	159755.	−	276704.i	0.560849	−	0.971418i
$153$	13784.2	+	48754.0i	0.0476050	+	0.168377i
$154$	81767.5	−	22241.8i	0.277830	−	0.0755733i
$155$			64092.0i			0.214276i
$156$	−36117.2	−	85528.1i	−0.118824	−	0.281383i
$157$	−59033.7	+	34083.1i	−0.191140	+	0.110355i	−0.592516	−	0.805559i	$-0.701865\pi$
$157$	−59033.7	+	34083.1i	−0.191140	+	0.110355i	0.401376	+	0.915913i	$0.368532\pi$
$158$	−295273.	+	170476.i	−0.940982	+	0.543276i
$159$	220114.	+	521247.i	0.690487	+	1.63512i
$160$		−	72069.2i		−	0.222561i
$161$	328133.	+	86592.4i	0.997667	+	0.263278i
$162$	−210352.	−	342266.i	−0.629738	−	1.02465i
$163$	−211908.	+	367035.i	−0.624709	+	1.08203i	0.363888	+	0.931443i	$0.381449\pi$
$163$	−211908.	+	367035.i	−0.624709	+	1.08203i	−0.988597	+	0.150585i	$0.951884\pi$
$164$	110387.	+	191195.i	0.320484	+	0.555095i
$165$	22164.4	+	2763.24i	0.0633791	+	0.00790150i
$166$	−635366.	−	366829.i	−1.78959	−	1.03322i
$167$	−30916.2			−0.0857818			−0.0428909	−	0.999080i	$-0.513657\pi$
$167$	−30916.2			−0.0857818			−0.0428909	+	0.999080i	$0.513657\pi$
$168$	−241099.	+	34358.9i	−0.659056	+	0.0939217i
$169$	197526.			0.531995
$170$	−18321.6	−	10578.0i	−0.0486228	−	0.0280724i
$171$	461794.	+	449277.i	1.20770	+	1.17496i
$172$	−42941.7	−	74377.2i	−0.110677	−	0.191699i
$173$	−89609.9	+	155209.i	−0.227636	+	0.394277i	−0.957107	−	0.289735i	$-0.906433\pi$
$173$	−89609.9	+	155209.i	−0.227636	+	0.394277i	0.729471	+	0.684012i	$0.239766\pi$
$174$	610719.	+	461991.i	1.52921	+	1.15681i
$175$	−267086.	−	265071.i	−0.659259	−	0.654284i
$176$		−	122693.i		−	0.298563i
$177$	112406.	−	47467.5i	0.269686	−	0.113884i
$178$	805899.	−	465286.i	1.90647	−	1.10070i
$179$	123131.	−	71089.4i	0.287232	−	0.165834i	−0.349461	−	0.936951i	$-0.613635\pi$
$179$	123131.	−	71089.4i	0.287232	−	0.165834i	0.636693	+	0.771117i	$0.280302\pi$
$180$	50194.6	+	12713.2i	0.115472	+	0.0292464i
$181$		−	321437.i		−	0.729288i	−0.931147	−	0.364644i	$-0.881191\pi$
$181$		−	321437.i		−	0.729288i	0.931147	−	0.364644i	$-0.118809\pi$
$182$	93814.7	−	355502.i	0.209939	−	0.795542i
$183$	189911.	−	251049.i	0.419201	−	0.554154i
$184$	157727.	−	273192.i	0.343449	−	0.594871i
$185$	−27434.5	−	47517.9i	−0.0589342	−	0.102077i
$186$	−56383.9	+	452264.i	−0.119501	+	0.958539i
$187$	−17347.5	−	10015.6i	−0.0362772	−	0.0209447i
$188$	55827.3			0.115200
$189$	52203.7	−	488300.i	0.106303	−	0.994334i
$190$	−269030.			−0.540651
$191$	−457970.	−	264409.i	−0.908352	−	0.524437i	−0.0284511	−	0.999595i	$-0.509057\pi$
$191$	−457970.	−	264409.i	−0.908352	−	0.524437i	−0.879900	+	0.475158i	$0.842391\pi$
$192$	−15408.2	+	123592.i	−0.0301647	+	0.241956i
$193$	47616.0	+	82473.4i	0.0920153	+	0.159375i	0.908359	−	0.418191i	$-0.137336\pi$
$193$	47616.0	+	82473.4i	0.0920153	+	0.159375i	−0.816344	+	0.577566i	$0.804002\pi$
$194$	85667.4	−	148380.i	0.163422	−	0.283056i
$195$	58467.6	−	77290.1i	0.110111	−	0.145558i
$196$	208861.	+	118486.i	0.388345	+	0.220306i
$197$		−	705756.i		−	1.29565i	−0.761787	−	0.647827i	$-0.775678\pi$
$197$		−	705756.i		−	1.29565i	0.761787	−	0.647827i	$-0.224322\pi$
$198$	153972.	+	38997.6i	0.279112	+	0.0706927i
$199$	−75610.4	+	43653.7i	−0.135347	+	0.0781426i	−0.566145	−	0.824306i	$-0.691566\pi$
$199$	−75610.4	+	43653.7i	−0.135347	+	0.0781426i	0.430798	+	0.902449i	$0.358232\pi$
$200$	−302919.	+	174890.i	−0.535490	+	0.309165i
$201$	−630973.	+	266450.i	−1.10159	+	0.465185i
$202$			531099.i			0.915792i
$203$	245698.	+	903259.i	0.418467	+	1.53841i
$204$	−37034.0	−	28015.1i	−0.0623053	−	0.0471321i
$205$	−115228.	+	199581.i	−0.191503	+	0.331692i
$206$	333343.	+	577368.i	0.547298	+	0.947948i
$207$	455933.	+	443574.i	0.739562	+	0.719516i
$208$	−461029.	−	266175.i	−0.738873	−	0.426588i
$209$	−254728.			−0.403376
$210$	126558.	+	161344.i	0.198035	+	0.252467i
$211$	−330657.			−0.511294			−0.255647	−	0.966770i	$-0.582289\pi$
$211$	−330657.			−0.511294			−0.255647	+	0.966770i	$0.582289\pi$
$212$	−449115.	−	259297.i	−0.686307	−	0.396239i
$213$	−402619.	−	50194.7i	−0.608058	−	0.0758069i
$214$	459558.	+	795977.i	0.685971	+	1.18814i
$215$	44825.2	−	77639.5i	0.0661342	−	0.114548i
$216$	−425243.	−	165960.i	−0.620159	−	0.242030i
$217$	−392451.	+	395435.i	−0.565765	+	0.570067i
$218$			511160.i			0.728476i
$219$	−308738.	−	731113.i	−0.434990	−	1.03009i
$220$	−17729.1	+	10235.9i	−0.0246962	+	0.0142584i
$221$	−75269.2	+	43456.7i	−0.103666	+	0.0598516i
$222$	−151788.	−	359444.i	−0.206707	−	0.489496i
$223$			232532.i			0.313128i	0.987668	+	0.156564i	$0.0500417\pi$
$223$			232532.i			0.313128i	−0.987668	+	0.156564i	$0.949958\pi$
$224$	441297.	−	444653.i	0.587640	−	0.592108i
$225$	−191894.	−	678719.i	−0.252700	−	0.893786i
$226$	299621.	−	518959.i	0.390212	−	0.675868i
$227$	−224126.	−	388198.i	−0.288687	−	0.500021i	0.684809	−	0.728722i	$-0.259885\pi$
$227$	−224126.	−	388198.i	−0.288687	−	0.500021i	−0.973497	+	0.228701i	$0.926552\pi$
$228$	−585977.	−	73053.9i	−0.746523	−	0.0930693i
$229$	498966.	+	288078.i	0.628756	+	0.363012i	0.780270	−	0.625443i	$-0.215082\pi$
$229$	498966.	+	288078.i	0.628756	+	0.363012i	−0.151514	+	0.988455i	$0.548415\pi$
$230$	−265615.			−0.331080
$231$	119830.	+	152767.i	0.147753	+	0.188364i
$232$	870122.			1.06135
$233$	352442.	+	203483.i	0.425303	+	0.245549i	0.697344	−	0.716737i	$-0.254365\pi$
$233$	352442.	+	203483.i	0.425303	+	0.245549i	−0.272041	+	0.962286i	$0.587699\pi$
$234$	480571.	−	493960.i	0.573743	−	0.589729i
$235$	29138.0	+	50468.5i	0.0344183	+	0.0596143i
$236$	−55917.1	+	96851.3i	−0.0653529	+	0.113195i
$237$	−623024.	−	471299.i	−0.720499	−	0.545036i
$238$	−48269.0	−	177451.i	−0.0552365	−	0.203066i
$239$			266151.i			0.301393i	0.988580	+	0.150696i	$0.0481516\pi$
$239$			266151.i			0.301393i	−0.988580	+	0.150696i	$0.951848\pi$
$240$	273515.	−	115501.i	0.306516	−	0.129437i
$241$	336439.	−	194243.i	0.373133	−	0.215428i	−0.301693	−	0.953405i	$-0.597552\pi$
$241$	336439.	−	194243.i	0.373133	−	0.215428i	0.674826	+	0.737977i	$0.264219\pi$
$242$	894527.	−	516456.i	0.981873	−	0.566885i
$243$	534947.	−	749080.i	0.581159	−	0.813790i
$244$			288516.i			0.310238i
$245$	1898.76	+	250654.i	0.00202094	+	0.266784i
$246$	−988685.	+	1.30697e6i	−1.04165	+	1.37698i
$247$	−552619.	+	957163.i	−0.576346	+	0.998260i
$248$	258934.	+	448487.i	0.267338	+	0.463042i
$249$	207960.	−	1.66808e6i	0.212560	−	1.70497i
$250$	529666.	+	305803.i	0.535984	+	0.309450i
$251$	1.09673e6			1.09879			0.549397	−	0.835561i	$-0.314857\pi$
$251$	1.09673e6			1.09879			0.549397	+	0.835561i	$0.314857\pi$
$252$	231845.	+	385791.i	0.229983	+	0.382694i
$253$	−251495.			−0.247017
$254$	834192.	+	481621.i	0.811301	+	0.468405i
$255$	5996.77	−	48101.0i	0.00577520	−	0.0463238i
$256$	−583099.	−	1.00996e6i	−0.556086	−	0.963170i
$257$	−50161.9	+	86882.9i	−0.0473741	+	0.0820544i	−0.888740	−	0.458411i	$-0.848419\pi$
$257$	−50161.9	+	86882.9i	−0.0473741	+	0.0820544i	0.841366	+	0.540466i	$0.181752\pi$
$258$	384610.	−	508427.i	0.359726	−	0.475532i
$259$	121698.	−	461164.i	0.112729	−	0.427175i
$260$			88825.1i			0.0814896i
$261$	−430793.	+	1.70087e6i	−0.391442	+	1.54551i
$262$	−902635.	+	521136.i	−0.812379	+	0.469027i
$263$	−1.13012e6	+	652475.i	−1.00748	+	0.581667i	−0.910452	−	0.413615i	$-0.864266\pi$
$263$	−1.13012e6	+	652475.i	−1.00748	+	0.581667i	−0.0970250	+	0.995282i	$0.530933\pi$
$264$	166260.	−	70209.1i	0.146818	−	0.0619988i
$265$		−	541340.i		−	0.473539i
$266$	−1.65986e6	−	1.64734e6i	−1.43836	−	1.42751i
$267$	1.70044e6	+	1.28633e6i	1.45976	+	1.10427i
$268$	313880.	−	543657.i	0.266948	−	0.462368i
$269$	−630360.	−	1.09182e6i	−0.531139	−	0.919960i	−0.999340	−	0.0363375i	$-0.988431\pi$
$269$	−630360.	−	1.09182e6i	−0.531139	−	0.919960i	0.468201	−	0.883622i	$-0.344902\pi$
$270$	58010.9	+	379957.i	0.0484284	+	0.317194i
$271$	1.08027e6	+	623692.i	0.893527	+	0.515878i	0.875094	−	0.483952i	$-0.160799\pi$
$271$	1.08027e6	+	623692.i	0.893527	+	0.515878i	0.0184323	+	0.999830i	$0.494132\pi$
$272$	−266267.			−0.218220
$273$	834000.	−	118853.i	0.677266	−	0.0965170i
$274$	−613945.			−0.494030
$275$	241500.	+	139430.i	0.192569	+	0.111180i
$276$	−578539.	−	72126.7i	−0.457151	−	0.0569932i
$277$	−329450.	−	570623.i	−0.257982	−	0.446838i	0.707719	−	0.706494i	$-0.249724\pi$
$277$	−329450.	−	570623.i	−0.257982	−	0.446838i	−0.965701	+	0.259656i	$0.916391\pi$
$278$	−453165.	+	784905.i	−0.351677	+	0.609123i
$279$	−1.00488e6	+	284109.i	−0.772864	+	0.218511i
$280$	225287.	+	59451.9i	0.171728	+	0.0453180i
$281$		−	1.28896e6i		−	0.973809i	−0.873455	−	0.486904i	$-0.838126\pi$
$281$		−	1.28896e6i		−	0.973809i	0.873455	−	0.486904i	$-0.161874\pi$
$282$	161213.	+	381764.i	0.120719	+	0.285872i
$283$	−873894.	+	504543.i	−0.648624	+	0.374483i	−0.787929	−	0.615766i	$-0.788847\pi$
$283$	−873894.	+	504543.i	−0.648624	+	0.374483i	0.139305	+	0.990250i	$0.455513\pi$
$284$	322051.	−	185936.i	0.236935	−	0.136795i
$285$	−239798.	−	567858.i	−0.174877	−	0.414121i
$286$			272471.i			0.196972i
$287$	−1.93302e6	+	525807.i	−1.38526	+	0.376809i
$288$	1.12995e6	−	319470.i	0.802746	−	0.226960i
$289$	688193.	−	1.19198e6i	0.484692	−	0.839510i
$290$	−366325.	−	634493.i	−0.255783	−	0.443029i
$291$	389554.	+	48565.9i	0.269672	+	0.0336201i
$292$	629940.	+	363696.i	0.432357	+	0.249621i
$293$	1.94711e6			1.32502			0.662508	−	0.749055i	$-0.269492\pi$
$293$	1.94711e6			1.32502			0.662508	+	0.749055i	$0.269492\pi$
$294$	−207111.	+	1.77041e6i	−0.139744	+	1.19455i
$295$	−116739.			−0.0781021
$296$	−383948.	−	221673.i	−0.254709	−	0.147056i
$297$	54926.9	+	359758.i	0.0361321	+	0.236657i
$298$	−95770.5	−	165879.i	−0.0624728	−	0.108206i
$299$	−545604.	+	945014.i	−0.352939	+	0.611309i
$300$	515561.	+	390006.i	0.330732	+	0.250189i
$301$	751968.	−	204545.i	0.478391	−	0.130129i
$302$		−	44540.7i		−	0.0281022i
$303$	−1.12102e6	+	473391.i	−0.701468	+	0.296219i
$304$	−2.93235e6	+	1.69299e6i	−1.81984	+	1.05068i
$305$	−260822.	+	150585.i	−0.160544	+	0.0926901i
$306$	84632.3	−	334148.i	0.0516693	−	0.204003i
$307$		−	1.97804e6i		−	1.19782i	−0.800818	−	0.598908i	$-0.795602\pi$
$307$		−	1.97804e6i		−	1.19782i	0.800818	−	0.598908i	$-0.204398\pi$
$308$	−172062.	−	45406.1i	−0.103350	−	0.0272733i
$309$	−921563.	+	1.21824e6i	−0.549071	+	0.725833i
$310$	218024.	−	377629.i	0.128855	−	0.223183i
$311$	535732.	+	927914.i	0.314084	+	0.544010i	0.979242	−	0.202693i	$-0.0649692\pi$
$311$	535732.	+	927914.i	0.314084	+	0.544010i	−0.665158	+	0.746703i	$0.731636\pi$
$312$	96875.5	−	777053.i	0.0563414	−	0.451923i
$313$	−360508.	−	208140.i	−0.207996	−	0.120086i	0.392384	−	0.919802i	$-0.371650\pi$
$313$	−360508.	−	208140.i	−0.207996	−	0.120086i	−0.600380	+	0.799715i	$0.704984\pi$
$314$	463768.			0.265446
$315$	−227752.	+	410947.i	−0.129326	+	0.233351i
$316$	716005.			0.403365
$317$	2.50467e6	+	1.44607e6i	1.39992	+	0.808242i	0.994383	−	0.105839i	$-0.0337529\pi$
$317$	2.50467e6	+	1.44607e6i	1.39992	+	0.808242i	0.405532	+	0.914081i	$0.367086\pi$
$318$	476235.	−	3.81996e6i	0.264091	−	2.11831i
$319$	−346850.	−	600762.i	−0.190838	−	0.330541i
$320$	59580.2	−	103196.i	0.0325258	−	0.0563363i
$321$	−1.27049e6	+	1.67950e6i	−0.688193	+	0.909743i
$322$	−1.63879e6	−	1.62643e6i	−0.880815	−	0.874168i
$323$			552808.i			0.294828i
$324$	23178.3	+	843341.i	0.0122664	+	0.446314i
$325$	1.04784e6	−	604973.i	0.550286	−	0.317708i
$326$	2.49712e6	−	1.44171e6i	1.30135	−	0.751337i
$327$	−1.07894e6	+	455618.i	−0.557990	+	0.235630i
$328$			1.86211e6i			0.955697i
$329$	−129255.	+	489800.i	−0.0658352	+	0.249476i
$330$	−121193.	−	91678.6i	−0.0612620	−	0.0463429i
$331$	1.73878e6	−	3.01165e6i	0.872315	−	1.51089i	0.0127200	−	0.999919i	$-0.495951\pi$
$331$	1.73878e6	−	3.01165e6i	0.872315	−	1.51089i	0.859595	−	0.510975i	$-0.170716\pi$
$332$	770347.	+	1.33428e6i	0.383567	+	0.664357i
$333$	623407.	−	640776.i	0.308078	−	0.316662i
$334$	182158.	+	105169.i	0.0893475	+	0.0515848i
$335$	655295.			0.319025
$336$	2.39478e6	+	962181.i	1.15722	+	0.464953i
$337$	916887.			0.439786			0.219893	−	0.975524i	$-0.429429\pi$
$337$	916887.			0.439786			0.219893	+	0.975524i	$0.429429\pi$
$338$	−1.16382e6	−	671933.i	−0.554108	−	0.319915i
$339$	1.36246e6	+	169859.i	0.643910	+	0.0802766i
$340$	22213.9	+	38475.6i	0.0104214	+	0.0180505i
$341$	206434.	−	357554.i	0.0961379	−	0.166516i
$342$	−1.19256e6	−	4.21804e6i	−0.551336	−	1.95005i
$343$	−1.52310e6	+	1.55811e6i	−0.699027	+	0.715096i
$344$		−	724382.i		−	0.330044i
$345$	−236754.	−	560651.i	−0.107090	−	0.253597i
$346$	1.05596e6	−	609660.i	0.474196	−	0.273777i
$347$	1.07207e6	−	618962.i	0.477970	−	0.275956i	−0.241600	−	0.970376i	$-0.577672\pi$
$347$	1.07207e6	−	618962.i	0.477970	−	0.275956i	0.719570	+	0.694420i	$0.244339\pi$
$348$	−625601.	−	1.48147e6i	−0.276917	−	0.655759i
$349$			2.19902e6i			0.966419i	0.875505	+	0.483210i	$0.160529\pi$
$349$			2.19902e6i			0.966419i	−0.875505	+	0.483210i	$0.839471\pi$
$350$	671968.	+	2.47035e6i	0.293210	+	1.07793i
$351$	1.47098e6	+	574083.i	0.637295	+	0.248718i
$352$	−232128.	+	402057.i	−0.0998550	+	0.172954i
$353$	−1.33455e6	−	2.31152e6i	−0.570032	−	0.987325i	−0.996562	−	0.0828512i	$-0.973597\pi$
$353$	−1.33455e6	−	2.31152e6i	−0.570032	−	0.987325i	0.426530	−	0.904474i	$-0.359736\pi$
$354$	−823770.	−	102700.i	−0.349380	−	0.0435573i
$355$	336177.	+	194092.i	0.141578	+	0.0817404i
$356$	−1.95422e6			−0.817237
$357$	331533.	−	260054.i	0.137675	−	0.107992i
$358$	−967312.			−0.398896
$359$	−3.93862e6	−	2.27396e6i	−1.61290	−	0.931210i	−0.988693	−	0.149952i	$-0.952088\pi$
$359$	−3.93862e6	−	2.27396e6i	−1.61290	−	0.931210i	−0.624209	−	0.781257i	$-0.714579\pi$
$360$	313031.	+	304546.i	0.127301	+	0.123850i
$361$	2.27685e6	+	3.94363e6i	0.919533	+	1.59268i
$362$	−1.09345e6	+	1.89390e6i	−0.438557	+	0.759602i
$363$	1.88744e6	+	1.42780e6i	0.751809	+	0.568721i
$364$	−543898.	+	548033.i	−0.215161	+	0.216797i
$365$			759296.i			0.298318i
$366$	−1.97296e6	+	833150.i	−0.769866	+	0.325103i
$367$	−1.84905e6	+	1.06755e6i	−0.716609	+	0.413735i	−0.813503	−	0.581560i	$-0.802443\pi$
$367$	−1.84905e6	+	1.06755e6i	−0.716609	+	0.413735i	0.0968940	+	0.995295i	$0.469109\pi$
$368$	−2.89513e6	+	1.67151e6i	−1.11442	+	0.643411i
$369$	−3.63996e6	−	921920.i	−1.39165	−	0.352474i
$370$			373300.i			0.141760i
$371$	3.31476e6	−	3.33996e6i	1.25031	−	1.25981i
$372$	577425.	−	763315.i	0.216341	−	0.285987i
$373$	1.62927e6	−	2.82198e6i	0.606346	−	1.05022i	−0.385491	−	0.922711i	$-0.625968\pi$
$373$	1.62927e6	−	2.82198e6i	0.606346	−	1.05022i	0.991837	−	0.127511i	$-0.0406987\pi$
$374$	68141.1	+	118024.i	0.0251901	+	0.0436305i
$375$	−173363.	+	1.39057e6i	−0.0636618	+	0.510641i
$376$	407789.	+	235437.i	0.148753	+	0.0858826i
$377$	−3.00989e6			−1.09068
$378$	−1.96866e6	+	2.69948e6i	−0.708664	+	0.971740i
$379$	−3.32017e6			−1.18730			−0.593652	−	0.804722i	$-0.702314\pi$
$379$	−3.32017e6			−1.18730			−0.593652	+	0.804722i	$0.702314\pi$
$380$	489276.	+	282484.i	0.173818	+	0.100354i
$381$	−273037.	+	2.19007e6i	−0.0963627	+	0.772940i
$382$	1.79891e6	+	3.11580e6i	0.630739	+	1.09247i
$383$	1.73101e6	−	2.99819e6i	0.602978	−	1.04439i	−0.389389	−	0.921073i	$-0.627314\pi$
$383$	1.73101e6	−	2.99819e6i	0.602978	−	1.04439i	0.992368	−	0.123316i	$-0.0393528\pi$
$384$	1.96545e6	−	2.59819e6i	0.680197	−	0.899173i
$385$	−48756.9	−	179245.i	−0.0167642	−	0.0616304i
$386$		−	647910.i		−	0.221333i
$387$	1.41599e6	+	358638.i	0.480598	+	0.121725i
$388$	−311601.	+	179903.i	−0.105080	+	0.0606679i
$389$	−2.15824e6	+	1.24606e6i	−0.723147	+	0.417509i	−0.815910	−	0.578179i	$-0.803763\pi$
$389$	−2.15824e6	+	1.24606e6i	−0.723147	+	0.417509i	0.0927629	+	0.995688i	$0.470430\pi$
$390$	−607412.	+	256501.i	−0.202219	+	0.0853939i
$391$			545792.i			0.180545i
$392$	1.02594e6	+	1.74630e6i	0.337215	+	0.573988i
$393$	−1.90455e6	−	1.44074e6i	−0.622030	−	0.470547i
$394$	−2.40080e6	+	4.15831e6i	−0.779141	+	1.34951i
$395$	373705.	+	647276.i	0.120514	+	0.208736i
$396$	−239076.	−	232595.i	−0.0766121	−	0.0745355i
$397$	2.63999e6	+	1.52420e6i	0.840670	+	0.485361i	0.857492	−	0.514497i	$-0.172021\pi$
$397$	2.63999e6	+	1.52420e6i	0.840670	+	0.485361i	−0.0168218	+	0.999859i	$0.505355\pi$
$398$	593994.			0.187964
$399$	1.99763e6	−	4.97191e6i	0.628178	−	1.56348i
$400$	3.70678e6			1.15837
$401$	44663.4	+	25786.4i	0.0138705	+	0.00800812i	0.506919	−	0.861994i	$-0.330784\pi$
$401$	44663.4	+	25786.4i	0.0138705	+	0.00800812i	−0.493049	+	0.870002i	$0.664118\pi$
$402$	4.62408e6	+	576486.i	1.42712	+	0.177920i
$403$	−895695.	−	1.55139e6i	−0.274725	−	0.475837i
$404$	557659.	−	965893.i	0.169987	−	0.294426i
$405$	−750291.	+	461119.i	−0.227296	+	0.139693i
$406$	1.62500e6	−	6.15780e6i	0.489260	−	1.85400i
$407$			353455.i			0.105766i
$408$	−152367.	−	360817.i	−0.0453149	−	0.107309i
$409$	3.93107e6	−	2.26960e6i	1.16199	−	0.670875i	0.210209	−	0.977656i	$-0.432585\pi$
$409$	3.93107e6	−	2.26960e6i	1.16199	−	0.670875i	0.951780	+	0.306782i	$0.0992522\pi$
$410$	1.35785e6	−	783954.i	0.398925	−	0.230320i
$411$	−547235.	−	1.29589e6i	−0.159797	−	0.378412i
$412$		−	1.40005e6i		−	0.406351i
$413$	−720260.	−	714824.i	−0.207785	−	0.206217i
$414$	−1.17743e6	−	4.16450e6i	−0.337624	−	1.19416i
$415$	−804135.	+	1.39280e6i	−0.229197	+	0.396981i
$416$	1.00718e6	+	1.74448e6i	0.285347	+	0.494235i
$417$	−2.06067e6	−	256905.i	−0.580321	−	0.0723489i
$418$	1.50085e6	+	866518.i	0.420144	+	0.242570i
$419$	1.89078e6			0.526145			0.263072	−	0.964776i	$-0.415264\pi$
$419$	1.89078e6			0.526145			0.263072	+	0.964776i	$0.415264\pi$
$420$	−60754.5	−	426319.i	−0.0168056	−	0.117926i
$421$	−5.04901e6			−1.38836			−0.694178	−	0.719803i	$-0.744232\pi$
$421$	−5.04901e6			−1.38836			−0.694178	+	0.719803i	$0.744232\pi$
$422$	1.94823e6	+	1.12481e6i	0.532547	+	0.307466i
$423$	−662116.	+	680564.i	−0.179922	+	0.184934i
$424$	−2.18703e6	−	3.78805e6i	−0.590801	−	1.02330i
$425$	302591.	−	524102.i	0.0812612	−	0.140748i
$426$	2.20148e6	+	1.66535e6i	0.587747	+	0.444613i
$427$	−2.53129e6	−	667992.i	−0.671850	−	0.177297i
$428$		−	1.93016e6i		−	0.509312i
$429$	−575121.	+	242864.i	−0.150874	+	0.0637119i
$430$	−528219.	+	304968.i	−0.137766	+	0.0795394i
$431$	−2.83060e6	+	1.63425e6i	−0.733982	+	0.423765i	−0.819877	−	0.572539i	$-0.805958\pi$
$431$	−2.83060e6	+	1.63425e6i	−0.733982	+	0.423765i	0.0858949	+	0.996304i	$0.472625\pi$
$432$	3.02336e6	+	3.77637e6i	0.779435	+	0.973565i
$433$			1.69788e6i			0.435198i	0.976038	+	0.217599i	$0.0698226\pi$
$433$			1.69788e6i			0.435198i	−0.976038	+	0.217599i	$0.930177\pi$
$434$	3.65749e6	−	994883.i	0.932091	−	0.253541i
$435$	1.01274e6	−	1.33877e6i	0.256612	−	0.339222i
$436$	536722.	−	929630.i	0.135218	−	0.234204i
$437$	3.47029e6	+	6.01072e6i	0.869285	+	1.50565i
$438$	−667979.	+	5.35796e6i	−0.166371	+	1.33449i
$439$	−3.83060e6	−	2.21160e6i	−0.948650	−	0.547703i	−0.0559885	−	0.998431i	$-0.517831\pi$
$439$	−3.83060e6	−	2.21160e6i	−0.948650	−	0.547703i	−0.892661	+	0.450728i	$0.851164\pi$
$440$	−172669.			−0.0425190
$441$	−3.92152e6	+	1.14088e6i	−0.960191	+	0.279346i
$442$	591314.			0.143967
$443$	4.52080e6	+	2.61008e6i	1.09447	+	0.631895i	0.934764	−	0.355269i	$-0.115611\pi$
$443$	4.52080e6	+	2.61008e6i	1.09447	+	0.631895i	0.159710	+	0.987164i	$0.448944\pi$
$444$	−101368.	+	813089.i	−0.0244030	+	0.195740i
$445$	−1.01997e6	−	1.76663e6i	−0.244166	−	0.422908i
$446$	791015.	−	1.37008e6i	0.188299	−	0.326143i
$447$	264767.	−	350004.i	0.0626752	−	0.0828522i
$448$	999493.	−	271875.i	0.235280	−	0.0639991i
$449$			3.80274e6i			0.890186i	0.895484	+	0.445093i	$0.146829\pi$
$449$			3.80274e6i			0.890186i	−0.895484	+	0.445093i	$0.853171\pi$
$450$	−1.17819e6	+	4.65178e6i	−0.274274	+	1.08290i
$451$	1.28566e6	−	742278.i	0.297636	−	0.171840i
$452$	−1.08982e6	+	629209.i	−0.250905	+	0.144860i
$453$	94014.8	−	39701.0i	0.0215254	−	0.00908983i
$454$			3.04968e6i			0.694407i
$455$	−779305.	−	205654.i	−0.176473	−	0.0465702i
$456$	−3.97217e6	−	3.00482e6i	−0.894572	−	0.676717i
$457$	−918745.	+	1.59131e6i	−0.205781	+	0.356423i	−0.950381	−	0.311088i	$-0.899307\pi$
$457$	−918745.	+	1.59131e6i	−0.205781	+	0.356423i	0.744600	+	0.667510i	$0.232640\pi$
$458$	−1.95993e6	−	3.39471e6i	−0.436594	−	0.756203i
$459$	780744.	−	119202.i	0.172972	−	0.0264090i
$460$	483066.	+	278898.i	0.106442	+	0.0614542i
$461$	−7.79775e6			−1.70890			−0.854450	−	0.519533i	$-0.826106\pi$
$461$	−7.79775e6			−1.70890			−0.854450	+	0.519533i	$0.826106\pi$
$462$	−186364.	−	1.30773e6i	−0.0406217	−	0.285045i
$463$	254809.			0.0552410			0.0276205	−	0.999618i	$-0.491207\pi$
$463$	254809.			0.0552410			0.0276205	+	0.999618i	$0.491207\pi$
$464$	−7.98568e6	−	4.61053e6i	−1.72193	−	0.994160i
$465$	991420.	+	123601.i	0.212630	+	0.0265087i
$466$	−1.38439e6	−	2.39784e6i	−0.295321	−	0.511511i
$467$	2.49262e6	−	4.31735e6i	0.528889	−	0.916063i	−0.470543	−	0.882377i	$-0.655942\pi$
$467$	2.49262e6	−	4.31735e6i	0.528889	−	0.916063i	0.999432	−	0.0336859i	$-0.0107246\pi$
$468$	−1.39266e6	+	393746.i	−0.293921	+	0.0831002i
$469$	4.04304e6	+	4.01253e6i	0.848743	+	0.842338i
$470$		−	396480.i		−	0.0827897i
$471$	413376.	+	978904.i	0.0858604	+	0.203324i
$472$	−816890.	+	471632.i	−0.168775	+	0.0974425i
$473$	−500138.	+	288755.i	−0.102787	+	0.0593439i
$474$	2.06761e6	+	4.89626e6i	0.422691	+	1.00096i
$475$		−	7.69581e6i		−	1.56502i
$476$	−98540.1	+	373408.i	−0.0199340	+	0.0755381i
$477$	8.48750e6	−	2.39967e6i	1.70798	−	0.482897i
$478$	905377.	−	1.56816e6i	0.181242	−	0.313921i
$479$	−3.85608e6	−	6.67893e6i	−0.767904	−	1.33005i	−0.938697	−	0.344742i	$-0.887966\pi$
$479$	−3.85608e6	−	6.67893e6i	−0.767904	−	1.33005i	0.170793	−	0.985307i	$-0.445367\pi$
$480$	−1.11482e6	−	138985.i	−0.220852	−	0.0275337i
$481$	1.32814e6	+	766802.i	0.261747	+	0.151119i
$482$	−2.64306e6			−0.518191
$483$	1.97227e6	−	4.90881e6i	0.384680	−	0.957432i
$484$	−2.16913e6			−0.420894
$485$	−325268.	−	187794.i	−0.0627896	−	0.0362516i
$486$	−5.70008e6	+	2.59382e6i	−1.09469	+	0.498137i
$487$	4.06026e6	+	7.03257e6i	0.775767	+	1.34367i	0.934363	+	0.356323i	$0.115970\pi$
$487$	4.06026e6	+	7.03257e6i	0.775767	+	1.34367i	−0.158596	+	0.987344i	$0.550697\pi$
$488$	−1.21674e6	+	2.10746e6i	−0.231286	+	0.400599i
$489$	5.26890e6	+	3.98576e6i	0.996432	+	0.753771i
$490$	841474.	−	1.48331e6i	0.158325	−	0.279089i
$491$			7.72726e6i			1.44651i	0.690581	+	0.723255i	$0.257355\pi$
$491$			7.72726e6i			1.44651i	−0.690581	+	0.723255i	$0.742645\pi$
$492$	3.17042e6	−	1.33882e6i	0.590479	−	0.249350i
$493$	−1.30377e6	+	752732.i	−0.241593	+	0.139484i
$494$	6.51205e6	−	3.75973e6i	1.20061	−	0.693170i
$495$	85487.6	−	337526.i	0.0156816	−	0.0619147i
$496$		−	5.48808e6i		−	1.00165i
$497$	885675.	+	3.25600e6i	0.160836	+	0.591281i
$498$	−6.89966e6	+	9.12086e6i	−1.24668	+	1.64802i
$499$	−1.16537e6	+	2.01848e6i	−0.209514	+	0.362889i	−0.951561	−	0.307459i	$-0.900521\pi$
$499$	−1.16537e6	+	2.01848e6i	−0.209514	+	0.362889i	0.742048	+	0.670347i	$0.233855\pi$
$500$	−642191.	−	1.11231e6i	−0.114879	−	0.198976i
$501$	−59621.6	+	478234.i	−0.0106123	+	0.0851228i
$502$	−6.46194e6	−	3.73080e6i	−1.14447	−	0.660759i
$503$	3.86914e6			0.681859			0.340930	−	0.940089i	$-0.389258\pi$
$503$	3.86914e6			0.681859			0.340930	+	0.940089i	$0.389258\pi$
$504$	66531.1	+	3.79575e6i	0.0116667	+	0.665612i
$505$	1.16424e6			0.203148
$506$	1.48180e6	+	855520.i	0.257285	+	0.148544i
$507$	380927.	−	3.05547e6i	0.0658145	−	0.527908i
$508$	−1.01141e6	−	1.75182e6i	−0.173888	−	0.301183i
$509$	2.14951e6	−	3.72307e6i	0.367744	−	0.636952i	−0.621468	−	0.783439i	$-0.713464\pi$
$509$	2.14951e6	−	3.72307e6i	0.367744	−	0.636952i	0.989213	+	0.146488i	$0.0467968\pi$
$510$	−198960.	+	263011.i	−0.0338720	+	0.0447764i
$511$	−4.64936e6	+	4.68471e6i	−0.787663	+	0.793653i
$512$			1.24648e6i			0.210142i
$513$	7.84029e6	−	6.27693e6i	1.31534	−	1.05306i
$514$	591107.	−	341276.i	0.0986866	−	0.0569767i
$515$	1.26566e6	−	730731.i	0.210281	−	0.121406i
$516$	−1.23333e6	+	520817.i	−0.203918	+	0.0861114i
$517$		−	375402.i		−	0.0617689i
$518$	−2.28581e6	+	2.30319e6i	−0.374296	+	0.377142i
$519$	2.22807e6	+	1.68547e6i	0.363087	+	0.274664i
$520$	−374597.	+	648820.i	−0.0607513	+	0.105224i
$521$	2.28516e6	+	3.95801e6i	0.368827	+	0.638827i	0.989382	−	0.145336i	$-0.0464262\pi$
$521$	2.28516e6	+	3.95801e6i	0.368827	+	0.638827i	−0.620556	+	0.784162i	$0.713093\pi$
$522$	8.32417e6	−	8.55609e6i	1.33710	−	1.37436i
$523$	−1.86520e6	−	1.07688e6i	−0.298176	−	0.172152i	0.343447	−	0.939172i	$-0.388405\pi$
$523$	−1.86520e6	−	1.07688e6i	−0.298176	−	0.172152i	−0.641623	+	0.767020i	$0.721739\pi$
$524$	2.18879e6			0.348238
$525$	−4.61537e6	+	3.62029e6i	−0.730817	+	0.573252i
$526$	8.87821e6			1.39914
$527$	−775961.	−	448001.i	−0.121706	−	0.0702672i
$528$	−1.89790e6	−	236611.i	−0.296270	−	0.0369361i
$529$	208072.	+	360392.i	0.0323277	+	0.0559933i
$530$	−1.84150e6	+	3.18957e6i	−0.284762	+	0.493222i
$531$	−517486.	−	1.83032e6i	−0.0796457	−	0.281703i
$532$	1.28902e6	+	4.73883e6i	0.197461	+	0.725925i
$533$		−	6.44133e6i		−	0.982104i
$534$	−5.64320e6	−	1.33635e7i	−0.856392	−	2.02800i
$535$	1.74488e6	−	1.00741e6i	0.263561	−	0.152167i
$536$	4.58546e6	−	2.64742e6i	0.689400	−	0.398025i
$537$	−862206.	−	2.04177e6i	−0.129025	−	0.305541i
$538$			8.57730e6i			1.27760i
$539$	796739.	−	1.40446e6i	0.118126	−	0.208227i
$540$	293456.	−	751928.i	0.0433070	−	0.110967i
$541$	2.73312e6	−	4.73390e6i	0.401481	−	0.695386i	−0.592423	−	0.805627i	$-0.701829\pi$
$541$	2.73312e6	−	4.73390e6i	0.401481	−	0.695386i	0.993905	+	0.110240i	$0.0351621\pi$
$542$	−4.24328e6	−	7.34958e6i	−0.620445	−	1.07464i
$543$	−4.97221e6	−	619888.i	−0.723686	−	0.0902222i
$544$	872541.	+	503762.i	0.126412	+	0.0729840i
$545$	1.12053e6			0.161596
$546$	−5.31823e6	−	2.13677e6i	−0.763459	−	0.306745i
$547$	7.32611e6			1.04690			0.523450	−	0.852056i	$-0.324645\pi$
$547$	7.32611e6			1.04690			0.523450	+	0.852056i	$0.324645\pi$
$548$	1.11656e6	+	644648.i	0.158830	+	0.0917004i
$549$	−3.51716e6	−	3.42182e6i	−0.498037	−	0.484537i
$550$	−948612.	−	1.64304e6i	−0.133716	−	0.231602i
$551$	−9.57214e6	+	1.65794e7i	−1.34317	+	2.32643i
$552$	−3.92175e6	−	2.96669e6i	−0.547813	−	0.414404i
$553$	−1.65774e6	+	6.28186e6i	−0.230518	+	0.873525i
$554$			4.48281e6i			0.620549i
$555$	−787948.	+	332738.i	−0.108584	+	0.0458533i
$556$	1.64831e6	−	951654.i	0.226127	−	0.130555i
$557$	6.61232e6	−	3.81763e6i	0.903059	−	0.521381i	0.0248673	−	0.999691i	$-0.492084\pi$
$557$	6.61232e6	−	3.81763e6i	0.903059	−	0.521381i	0.878191	+	0.478310i	$0.158750\pi$
$558$	6.88720e6	+	1.74437e6i	0.936391	+	0.237167i
$559$			2.50575e6i			0.339163i
$560$	−1.75259e6	−	1.73936e6i	−0.236162	−	0.234380i
$561$	−188383.	+	249029.i	−0.0252717	+	0.0334074i
$562$	−4.38471e6	+	7.59454e6i	−0.585599	+	1.01429i
$563$	−1.08788e6	−	1.88427e6i	−0.144648	−	0.250537i	0.784594	−	0.620010i	$-0.212871\pi$
$563$	−1.08788e6	−	1.88427e6i	−0.144648	−	0.250537i	−0.929241	+	0.369473i	$0.879538\pi$
$564$	107662.	−	863576.i	0.0142517	−	0.114315i
$565$	−1.13762e6	−	656807.i	−0.149926	−	0.0865599i
$566$	6.86531e6			0.900780
$567$	−7.45270e6	−	1.74920e6i	−0.973544	−	0.228498i
$568$	3.13656e6			0.407927
$569$	7.26339e6	+	4.19352e6i	0.940500	+	0.542998i	0.890117	−	0.455732i	$-0.150622\pi$
$569$	7.26339e6	+	4.19352e6i	0.940500	+	0.542998i	0.0503832	+	0.998730i	$0.483956\pi$
$570$	−518822.	+	4.16155e6i	−0.0668853	+	0.536497i
$571$	−1.27236e6	−	2.20380e6i	−0.163313	−	0.282867i	0.772742	−	0.634720i	$-0.218885\pi$
$571$	−1.27236e6	−	2.20380e6i	−0.163313	−	0.282867i	−0.936055	+	0.351854i	$0.885551\pi$
$572$	286097.	−	495534.i	0.0365614	−	0.0633262i
$573$	−4.97326e6	+	6.57430e6i	−0.632783	+	0.836494i
$574$	1.31780e7	+	3.47759e6i	1.66944	+	0.440554i
$575$		−	7.59813e6i		−	0.958379i
$576$	1.88209e6	+	476690.i	0.236365	+	0.0598660i
$577$	−8.83680e6	+	5.10193e6i	−1.10498	+	0.637962i	−0.937525	−	0.347917i	$-0.886889\pi$
$577$	−8.83680e6	+	5.10193e6i	−1.10498	+	0.637962i	−0.167458	+	0.985879i	$0.553556\pi$
$578$	−8.10965e6	+	4.68211e6i	−1.00968	+	0.582938i
$579$	1.36758e6	−	577509.i	0.169534	−	0.0715917i
$580$			1.53858e6i			0.189911i
$581$	−1.34898e7	+	3.66941e6i	−1.65793	+	0.450978i
$582$	−2.13004e6	−	1.61131e6i	−0.260664	−	0.197184i
$583$	−1.74360e6	+	3.02001e6i	−0.212459	+	0.367990i
$584$	3.06759e6	+	5.31322e6i	0.372190	+	0.644652i
$585$	−1.08282e6	−	1.05347e6i	−0.130818	−	0.127272i
$586$	−1.14723e7	−	6.62356e6i	−1.38009	−	0.796797i
$587$	−1.90974e6			−0.228760			−0.114380	−	0.993437i	$-0.536488\pi$
$587$	−1.90974e6			−0.228760			−0.114380	+	0.993437i	$0.536488\pi$
$588$	2.23561e6	−	3.00232e6i	0.266657	−	0.358107i
$589$	−1.13940e7			−1.35329
$590$	687828.	+	397118.i	0.0813486	+	0.0469666i
$591$	−1.09171e7	−	1.36104e6i	−1.28570	−	0.160289i
$592$	2.34916e6	+	4.06887e6i	0.275492	+	0.477166i
$593$	4.84251e6	−	8.38747e6i	0.565502	−	0.979477i	−0.431501	−	0.902112i	$-0.642016\pi$
$593$	4.84251e6	−	8.38747e6i	0.565502	−	0.979477i	0.997003	−	0.0773651i	$-0.0246507\pi$
$594$	900175.	−	2.30654e6i	0.104679	−	0.268222i
$595$	−388996.	+	105812.i	−0.0450456	+	0.0122530i
$596$			402239.i			0.0463841i
$597$	529452.	+	1.25378e6i	0.0607982	+	0.143974i
$598$	6.42939e6	−	3.71201e6i	0.735220	−	0.424479i
$599$	−3.49308e6	+	2.01673e6i	−0.397779	+	0.229658i	−0.685525	−	0.728049i	$-0.740427\pi$
$599$	−3.49308e6	+	2.01673e6i	−0.397779	+	0.229658i	0.287746	+	0.957707i	$0.407094\pi$
$600$	2.12115e6	+	5.02303e6i	0.240543	+	0.569624i
$601$		−	1.16260e7i		−	1.31293i	−0.754356	−	0.656466i	$-0.772051\pi$
$601$		−	1.16260e7i		−	1.31293i	0.754356	−	0.656466i	$-0.227949\pi$
$602$	−5.12640e6	−	1.35283e6i	−0.576529	−	0.152143i
$603$	2.90481e6	+	1.02742e7i	0.325330	+	1.15068i
$604$	−46768.1	+	81004.7i	−0.00521624	+	0.00903479i
$605$	−1.13214e6	−	1.96092e6i	−0.125751	−	0.217807i
$606$	8.21541e6	+	1.02422e6i	0.908757	+	0.113295i
$607$	6.50750e6	+	3.75711e6i	0.716873	+	0.413887i	0.813601	−	0.581424i	$-0.197504\pi$
$607$	6.50750e6	+	3.75711e6i	0.716873	+	0.413887i	−0.0967276	+	0.995311i	$0.530838\pi$
$608$	1.28122e7			1.40561
$609$	1.44461e7	−	2.05870e6i	1.57836	−	0.224932i
$610$	2.04901e6			0.222956
$611$	−1.41061e6	−	814415.i	−0.152863	−	0.0882557i
$612$	−504777.	+	518841.i	−0.0544780	+	0.0559958i
$613$	−1.87051e6	−	3.23983e6i	−0.201053	−	0.348233i	0.747815	−	0.663907i	$-0.231103\pi$
$613$	−1.87051e6	−	3.23983e6i	−0.201053	−	0.348233i	−0.948868	+	0.315674i	$0.897770\pi$
$614$	−6.72880e6	+	1.16546e7i	−0.720305	+	1.24761i
$615$	2.86505e6	+	2.16732e6i	0.305453	+	0.231066i
$616$	−1.06533e6	−	1.05730e6i	−0.113119	−	0.112265i
$617$		−	1.48513e7i		−	1.57055i	−0.619146	−	0.785276i	$-0.712521\pi$
$617$		−	1.48513e7i		−	1.57055i	0.619146	−	0.785276i	$-0.287479\pi$
$618$	9.57398e6	−	4.04294e6i	1.00837	−	0.425820i
$619$	7.24514e6	−	4.18298e6i	0.760011	−	0.438793i	−0.0692886	−	0.997597i	$-0.522073\pi$
$619$	7.24514e6	−	4.18298e6i	0.760011	−	0.438793i	0.829300	+	0.558804i	$0.188740\pi$
$620$	−793029.	+	457855.i	−0.0828533	+	0.0478354i
$621$	7.74078e6	−	6.19726e6i	0.805482	−	0.644868i
$622$		−	7.28969e6i		−	0.755497i
$623$	4.52453e6	−	1.71453e7i	0.467040	−	1.76980i
$624$	−5.00647e6	+	6.61820e6i	−0.514719	+	0.680423i
$625$	−3.86491e6	+	6.69421e6i	−0.395766	+	0.685488i
$626$	1.41607e6	+	2.45271e6i	0.144428	+	0.250156i
$627$	−491240.	+	3.94031e6i	−0.0499028	+	0.400278i
$628$	−843441.	−	486961.i	−0.0853406	−	0.0492714i
$629$	767065.			0.0773047
$630$	2.73985e6	−	1.64654e6i	0.275027	−	0.165280i
$631$	8.21939e6			0.821800			0.410900	−	0.911680i	$-0.365215\pi$
$631$	8.21939e6			0.821800			0.410900	+	0.911680i	$0.365215\pi$
$632$	5.23004e6	+	3.01957e6i	0.520850	+	0.300713i
$633$	−637668.	+	5.11483e6i	−0.0632536	+	0.507367i
$634$	−9.83832e6	−	1.70405e7i	−0.972071	−	1.68368i
$635$	1.05577e6	−	1.82866e6i	0.103905	−	0.179969i
$636$	−4.87710e6	+	6.44718e6i	−0.478100	+	0.632015i
$637$	−3.54889e6	−	6.04072e6i	−0.346533	−	0.589848i
$638$			4.71958e6i			0.459041i
$639$	−1.55289e6	+	6.13119e6i	−0.150449	+	0.594009i
$640$	−2.69933e6	+	1.55846e6i	−0.260499	+	0.150399i
$641$	4.27272e6	−	2.46686e6i	0.410733	−	0.237137i	−0.280372	−	0.959891i	$-0.590458\pi$
$641$	4.27272e6	−	2.46686e6i	0.410733	−	0.237137i	0.691104	+	0.722755i	$0.257124\pi$
$642$	1.31990e7	−	5.57373e6i	1.26387	−	0.533714i
$643$		−	1.06965e7i		−	1.02027i	−0.860094	−	0.510135i	$-0.829595\pi$
$643$		−	1.06965e7i		−	1.02027i	0.860094	−	0.510135i	$-0.170405\pi$
$644$	1.27266e6	+	4.67868e6i	0.120920	+	0.444538i
$645$	−1.11454e6	−	843115.i	−0.105486	−	0.0797971i
$646$	1.88051e6	−	3.25714e6i	0.177294	−	0.307083i
$647$	4.35883e6	+	7.54972e6i	0.409364	+	0.709039i	0.994819	−	0.101666i	$-0.0324173\pi$
$647$	4.35883e6	+	7.54972e6i	0.409364	+	0.709039i	−0.585455	+	0.810705i	$0.699084\pi$
$648$	−3.38727e6	+	6.25791e6i	−0.316892	+	0.585453i
$649$	651262.	+	376006.i	0.0606937	+	0.0350415i
$650$	−8.23186e6			−0.764213
$651$	5.36003e6	+	6.83330e6i	0.495695	+	0.631943i
$652$	−6.05524e6			−0.557844
$653$	−8.54082e6	−	4.93104e6i	−0.783820	−	0.452539i	0.0539621	−	0.998543i	$-0.482815\pi$
$653$	−8.54082e6	−	4.93104e6i	−0.783820	−	0.452539i	−0.837783	+	0.546004i	$0.816148\pi$
$654$	7.90698e6	+	985766.i	0.722880	+	0.0901218i
$655$	1.14240e6	+	1.97869e6i	0.104043	+	0.180208i
$656$	9.86678e6	−	1.70898e7i	0.895192	−	1.55052i
$657$	−1.19048e7	+	3.36583e6i	−1.07599	+	0.304214i
$658$	2.42774e6	−	2.44620e6i	0.218594	−	0.220256i
$659$			7.63431e6i			0.684788i	0.939556	+	0.342394i	$0.111238\pi$
$659$			7.63431e6i			0.684788i	−0.939556	+	0.342394i	$0.888762\pi$
$660$	124146.	+	293986.i	0.0110936	+	0.0262704i
$661$	1.21457e7	−	7.01235e6i	1.08124	−	0.624252i	0.150006	−	0.988685i	$-0.452071\pi$
$661$	1.21457e7	−	7.01235e6i	1.08124	−	0.624252i	0.931229	+	0.364434i	$0.118737\pi$
$662$	−2.04897e7	+	1.18297e7i	−1.81715	+	1.04913i
$663$	527063.	+	1.24812e6i	0.0465670	+	0.110274i
$664$			1.29949e7i			1.14381i
$665$	−3.61117e6	+	3.63863e6i	−0.316661	+	0.319068i
$666$	−5.85286e6	+	1.65478e6i	−0.511308	+	0.144562i
$667$	−9.45065e6	+	1.63690e7i	−0.822521	+	1.42465i
$668$	−220857.	−	382535.i	−0.0191500	−	0.0331688i
$669$	3.59698e6	+	448436.i	0.310722	+	0.0387379i
$670$	−3.86100e6	−	2.22915e6i	−0.332286	−	0.191846i
$671$	1.94008e6			0.166347
$672$	−6.02717e6	−	7.68381e6i	−0.514861	−	0.656377i
$673$	−1.03156e7			−0.877920			−0.438960	−	0.898507i	$-0.644653\pi$
$673$	−1.03156e7			−0.877920			−0.438960	+	0.898507i	$0.644653\pi$
$674$	−5.40229e6	−	3.11902e6i	−0.458067	−	0.264465i
$675$	−1.08690e7	+	1.65945e6i	−0.918182	+	0.140186i
$676$	1.41107e6	+	2.44405e6i	0.118763	+	0.205704i
$677$	−2.26863e6	+	3.92938e6i	−0.190236	+	0.329498i	−0.945328	−	0.326120i	$-0.894259\pi$
$677$	−2.26863e6	+	3.92938e6i	−0.190236	+	0.329498i	0.755093	+	0.655618i	$0.227592\pi$
$678$	−7.44981e6	−	5.63556e6i	−0.622402	−	0.470828i
$679$	−856935.	−	3.15035e6i	−0.0713302	−	0.262231i
$680$			374725.i			0.0310771i
$681$	−6.43714e6	+	2.71831e6i	−0.531894	+	0.224611i
$682$	−2.43261e6	+	1.40447e6i	−0.200268	+	0.115625i
$683$	−780773.	+	450779.i	−0.0640432	+	0.0369754i	−0.531680	−	0.846946i	$-0.678439\pi$
$683$	−780773.	+	450779.i	−0.0640432	+	0.0369754i	0.467636	+	0.883921i	$0.345106\pi$
$684$	−2.26010e6	+	8.92342e6i	−0.184709	+	0.729274i
$685$			1.34585e6i			0.109590i
$686$	1.42744e7	−	3.99920e6i	1.15811	−	0.324461i
$687$	5.41844e6	−	7.16280e6i	0.438009	−	0.579016i
$688$	−3.83830e6	+	6.64812e6i	−0.309149	+	0.535461i
$689$	7.56530e6	+	1.31035e7i	0.607125	+	1.05157i
$690$	−512236.	+	4.10873e6i	−0.0409589	+	0.328537i
$691$	1.48175e7	+	8.55486e6i	1.18053	+	0.681582i	0.956138	−	0.292916i	$-0.0946257\pi$
$691$	1.48175e7	+	8.55486e6i	1.18053	+	0.681582i	0.224396	+	0.974498i	$0.427959\pi$
$692$	−2.56059e6			−0.203271
$693$	2.59419e6	−	1.55901e6i	0.205196	−	0.123315i
$694$	−8.42220e6			−0.663784
$695$	1.72061e6	+	993395.i	0.135120	+	0.0780117i
$696$	1.67802e6	−	1.34597e7i	0.131303	−	1.05320i
$697$	−1.61089e6	−	2.79014e6i	−0.125598	−	0.217542i
$698$	7.48050e6	−	1.29566e7i	0.581155	−	1.00659i
$699$	3.82730e6	−	5.05942e6i	0.296278	−	0.391658i
$700$	1.37181e6	−	5.19832e6i	0.105815	−	0.400976i
$701$			2.02857e6i			0.155917i	0.996957	+	0.0779587i	$0.0248402\pi$
$701$			2.02857e6i			0.155917i	−0.996957	+	0.0779587i	$0.975160\pi$
$702$	−6.71415e6	−	8.38641e6i	−0.514219	−	0.642293i
$703$	8.44757e6	−	4.87721e6i	0.644679	−	0.372206i
$704$	−664768.	+	383804.i	−0.0505520	+	0.0291862i
$705$	836874.	−	353399.i	0.0634143	−	0.0267789i
$706$			1.81592e7i			1.37115i
$707$	7.18311e6	+	7.12890e6i	0.540461	+	0.536382i
$708$	1.39033e6	+	1.05174e6i	0.104240	+	0.0788545i
$709$	8.39469e6	−	1.45400e7i	0.627176	−	1.08630i	−0.360940	−	0.932589i	$-0.617544\pi$
$709$	8.39469e6	−	1.45400e7i	0.627176	−	1.08630i	0.988116	−	0.153711i	$-0.0491225\pi$
$710$	−1.32050e6	−	2.28718e6i	−0.0983090	−	0.170276i
$711$	−8.49188e6	+	8.72848e6i	−0.629984	+	0.647537i
$712$	−1.42745e7	−	8.24140e6i	−1.05527	−	0.609258i
$713$	−1.12494e7			−0.828718
$714$	−2.83803e6	+	404446.i	−0.208339	+	0.0296904i
$715$	597290.			0.0436939
$716$	1.75922e6	+	1.01569e6i	0.128244	+	0.0740418i
$717$	4.11701e6	+	513269.i	0.299078	+	0.0372861i
$718$	1.54709e7	+	2.67964e7i	1.11996	+	1.93983i
$719$	−1.31852e7	+	2.28374e7i	−0.951183	+	1.64750i	−0.208312	+	0.978062i	$0.566797\pi$
$719$	−1.31852e7	+	2.28374e7i	−0.951183	+	1.64750i	−0.742871	+	0.669435i	$0.766536\pi$
$720$	−1.25918e6	−	4.45367e6i	−0.0905228	−	0.320175i
$721$	1.22833e7	+	3.24150e6i	0.879991	+	0.232224i
$722$		−	3.09811e7i		−	2.21184i
$723$	−2.35587e6	−	5.57887e6i	−0.167612	−	0.396918i
$724$	3.97723e6	−	2.29625e6i	0.281990	−	0.162807i
$725$	1.81502e7	−	1.04790e7i	1.28244	−	0.740415i
$726$	−6.26381e6	−	1.48332e7i	−0.441060	−	1.04446i
$727$		−	1.63660e7i		−	1.14844i	−0.818702	−	0.574218i	$-0.805306\pi$
$727$		−	1.63660e7i		−	1.14844i	0.818702	−	0.574218i	$-0.194694\pi$
$728$	−6.28407e6	+	1.70935e6i	−0.439453	+	0.119537i
$729$	−1.05557e7	−	9.71953e6i	−0.735642	−	0.677371i
$730$	2.58293e6	−	4.47377e6i	0.179393	−	0.310718i
$731$	626654.	+	1.08540e6i	0.0433745	+	0.0751268i
$732$	4.46297e6	+	556401.i	0.307855	+	0.0383804i
$733$	−2.29516e7	−	1.32511e7i	−1.57781	−	0.910946i	−0.995165	−	0.0982164i	$-0.968686\pi$
$733$	−2.29516e7	−	1.32511e7i	−1.57781	−	0.910946i	−0.582640	−	0.812730i	$-0.697980\pi$
$734$	1.45261e7			0.995196
$735$	3.88096e6	+	454013.i	0.264985	+	0.0309992i
$736$	1.26496e7			0.860759
$737$	−3.65574e6	−	2.11064e6i	−0.247917	−	0.143135i
$738$	1.83105e7	+	1.78142e7i	1.23754	+	1.20399i
$739$	6.83956e6	+	1.18465e7i	0.460698	+	0.797953i	0.998996	−	0.0448018i	$-0.0142656\pi$
$739$	6.83956e6	+	1.18465e7i	0.460698	+	0.797953i	−0.538297	+	0.842755i	$0.680932\pi$
$740$	391969.	−	678910.i	0.0263131	−	0.0455756i
$741$	1.37404e7	+	1.03942e7i	0.919290	+	0.695416i
$742$	−3.08922e7	+	8.40308e6i	−2.05987	+	0.560310i
$743$			9.39766e6i			0.624522i	0.949996	+	0.312261i	$0.101086\pi$
$743$			9.39766e6i			0.624522i	−0.949996	+	0.312261i	$0.898914\pi$
$744$	7.43687e6	−	3.14047e6i	0.492558	−	0.208000i
$745$	−363629.	+	209941.i	−0.0240031	+	0.0138582i
$746$	−1.91993e7	+	1.10847e7i	−1.26310	+	0.729251i
$747$	−2.54019e7	−	6.43373e6i	−1.66558	−	0.421853i
$748$		−	286195.i		−	0.0187029i
$749$	1.69342e7	+	4.46883e6i	1.10296	+	0.291065i
$750$	5.75183e6	−	7.60351e6i	0.373381	−	0.493584i
$751$	6.75217e6	−	1.16951e7i	0.436862	−	0.756666i	−0.560584	−	0.828098i	$-0.689423\pi$
$751$	6.75217e6	−	1.16951e7i	0.436862	−	0.756666i	0.997446	+	0.0714312i	$0.0227566\pi$
$752$	−2.49503e6	−	4.32152e6i	−0.160891	−	0.278671i
$753$	2.11504e6	−	1.69650e7i	0.135935	−	1.09035i
$754$	1.77343e7	+	1.02389e7i	1.13602	+	0.655880i
$755$	−97638.9			−0.00623383
$756$	6.41481e6	−	2.84235e6i	0.408206	−	0.180873i
$757$	−7.36283e6			−0.466987			−0.233494	−	0.972358i	$-0.575016\pi$
$757$	−7.36283e6			−0.466987			−0.233494	+	0.972358i	$0.575016\pi$
$758$	1.95624e7	+	1.12944e7i	1.23666	+	0.713984i
$759$	−485005.	+	3.89030e6i	−0.0305592	+	0.245120i
$760$	2.38260e6	+	4.12679e6i	0.149630	+	0.259166i
$761$	−1.24156e6	+	2.15044e6i	−0.0777150	+	0.134606i	−0.902264	−	0.431185i	$-0.858096\pi$
$761$	−1.24156e6	+	2.15044e6i	−0.0777150	+	0.134606i	0.824549	+	0.565791i	$0.191429\pi$
$762$	9.05879e6	−	1.19751e7i	0.565175	−	0.747121i
$763$	6.91343e6	+	6.86126e6i	0.429915	+	0.426671i
$764$		−	7.55547e6i		−	0.468304i
$765$	−732496.	−	185525.i	−0.0452534	−	0.0114617i
$766$	−2.03981e7	+	1.17769e7i	−1.25608	+	0.725201i
$767$	2.82576e6	−	1.63145e6i	0.173439	−	0.100135i
$768$	−1.67472e7	+	7.07209e6i	−1.02457	+	0.432658i
$769$			2.15050e7i			1.31136i	0.755038	+	0.655681i	$0.227618\pi$
$769$			2.15050e7i			1.31136i	−0.755038	+	0.655681i	$0.772382\pi$
$770$	−322470.	+	1.22197e6i	−0.0196003	+	0.0742733i
$771$	1.24723e6	+	943492.i	0.0755632	+	0.0571614i
$772$	−680311.	+	1.17833e6i	−0.0410832	+	0.0711582i
$773$	4.96275e6	+	8.59573e6i	0.298726	+	0.517409i	0.975845	−	0.218465i	$-0.0701049\pi$
$773$	4.96275e6	+	8.59573e6i	0.298726	+	0.517409i	−0.677119	+	0.735874i	$0.736772\pi$
$774$	−7.12300e6	−	6.92992e6i	−0.427376	−	0.415792i
$775$	1.08024e7	+	6.23676e6i	0.646049	+	0.372996i
$776$	−3.03478e6			−0.180914
$777$	−6.89892e6	−	2.77187e6i	−0.409948	−	0.164710i
$778$	1.69551e7			1.00427
$779$	−3.54809e7	−	2.04849e7i	−2.09484	−	1.20946i
$780$	1.37401e6	+	171298.i	0.0808636	+	0.0100813i
$781$	−1.25030e6	−	2.16558e6i	−0.0733478	−	0.127042i
$782$	1.85664e6	−	3.21580e6i	0.108570	−	0.188050i
$783$	2.54796e7	+	9.94393e6i	1.48521	+	0.579634i
$784$	−162587.	−	2.14631e7i	−0.00944703	−	1.24710i
$785$		−	1.01664e6i		−	0.0588834i
$786$	6.32059e6	+	1.49676e7i	0.364923	+	0.864163i
$787$	−897903.	+	518404.i	−0.0516764	+	0.0298354i	−0.525616	−	0.850722i	$-0.676165\pi$
$787$	−897903.	+	518404.i	−0.0516764	+	0.0298354i	0.473939	+	0.880558i	$0.342832\pi$
$788$	8.73253e6	−	5.04173e6i	0.500985	−	0.289244i
$789$	7.91352e6	+	1.87398e7i	0.452561	+	1.07170i
$790$		−	5.08500e6i		−	0.289883i
$791$	−2.99712e6	−	1.10183e7i	−0.170319	−	0.626144i
$792$	−765412.	−	2.70723e6i	−0.0433593	−	0.153360i
$793$	4.20891e6	−	7.29004e6i	0.237677	−	0.411668i
$794$	−1.03699e7	−	1.79611e7i	−0.583743	−	1.01107i
$795$	−8.37383e6	−	1.04397e6i	−0.469901	−	0.0585827i
$796$	−1.08028e6	−	623699.i	−0.0604301	−	0.0348893i
$797$	−1.52399e7			−0.849838			−0.424919	−	0.905231i	$-0.639697\pi$
$797$	−1.52399e7			−0.849838			−0.424919	+	0.905231i	$0.639697\pi$
$798$	−2.86832e7	+	2.24991e7i	−1.59448	+	1.25071i
$799$	−814695.			−0.0451469
$800$	−1.21469e7	−	7.01302e6i	−0.671028	−	0.387418i
$801$	2.31772e7	−	2.38229e7i	1.27638	−	1.31194i
$802$	−175438.	−	303867.i	−0.00963135	−	0.0166820i
$803$	2.44562e6	−	4.23593e6i	0.133844	−	0.231825i
$804$	−7.80435e6	−	5.90376e6i	−0.425791	−	0.322099i
$805$	−3.56534e6	+	3.59245e6i	−0.193915	+	0.195389i
$806$			1.21877e7i			0.660821i
$807$	−1.81046e7	+	7.64530e6i	−0.978601	+	0.413248i
$808$	8.14680e6	−	4.70356e6i	0.438994	−	0.253453i
$809$	4.72275e6	−	2.72668e6i	0.253702	−	0.146475i	−0.367756	−	0.929922i	$-0.619874\pi$
$809$	4.72275e6	−	2.72668e6i	0.253702	−	0.146475i	0.621458	+	0.783447i	$0.286541\pi$
$810$	5.98932e6	−	164610.i	0.320749	−	0.00881541i
$811$			9.69507e6i			0.517605i	0.965930	+	0.258803i	$0.0833279\pi$
$811$			9.69507e6i			0.517605i	−0.965930	+	0.258803i	$0.916672\pi$
$812$	−9.42108e6	+	9.49272e6i	−0.501430	+	0.505243i
$813$	1.17310e7	−	1.55075e7i	0.622456	−	0.822842i
$814$	1.20236e6	−	2.08255e6i	0.0636025	−	0.110163i
$815$	−3.16042e6	−	5.47400e6i	−0.166667	−	0.288676i
$816$	−513492.	+	4.11880e6i	−0.0269966	+	0.216544i
$817$	1.38025e7	+	7.96886e6i	0.723439	+	0.417678i
$818$	−3.08824e7			−1.61372
$819$	−230142.	−	1.31301e7i	−0.0119891	−	0.684004i
$820$	−3.29264e6			−0.171005
$821$	1.41785e7	+	8.18596e6i	0.734129	+	0.423849i	0.819931	−	0.572463i	$-0.194012\pi$
$821$	1.41785e7	+	8.18596e6i	0.734129	+	0.423849i	−0.0858020	+	0.996312i	$0.527345\pi$
$822$	−1.18399e6	+	9.49694e6i	−0.0611178	+	0.490235i
$823$	−1.18770e7	−	2.05715e7i	−0.611233	−	1.05869i	−0.991033	−	0.133618i	$-0.957341\pi$
$823$	−1.18770e7	−	2.05715e7i	−0.611233	−	1.05869i	0.379800	−	0.925069i	$-0.375993\pi$
$824$	5.90436e6	−	1.02267e7i	0.302939	−	0.524706i
$825$	2.62254e6	−	3.46681e6i	0.134149	−	0.177335i
$826$	1.81212e6	+	6.66188e6i	0.0924136	+	0.339740i
$827$			2.87632e7i			1.46242i	0.682151	+	0.731211i	$0.261045\pi$
$827$			2.87632e7i			1.46242i	−0.682151	+	0.731211i	$0.738955\pi$
$828$	−2.23141e6	+	8.81016e6i	−0.113111	+	0.446589i
$829$	−3.19576e7	+	1.84508e7i	−1.61506	+	0.932455i	−0.626886	+	0.779111i	$0.715671\pi$
$829$	−3.19576e7	+	1.84508e7i	−1.61506	+	0.932455i	−0.988173	+	0.153344i	$0.950996\pi$
$830$	9.47592e6	−	5.47092e6i	0.477448	−	0.275655i
$831$	−9.46215e6	+	3.99572e6i	−0.475321	+	0.200721i
$832$			3.33057e6i			0.166805i
$833$	−3.04794e6	−	1.72908e6i	−0.152193	−	0.0863380i
$834$	1.12675e7	+	8.52356e6i	0.560937	+	0.424332i
$835$	230544.	−	399314.i	0.0114429	−	0.0198197i
$836$	−1.81970e6	−	3.15182e6i	−0.0900503	−	0.155972i
$837$	2.45690e6	+	1.60921e7i	0.121220	+	0.793960i
$838$	−1.11404e7	−	6.43194e6i	−0.548015	−	0.316397i
$839$	2.41096e7			1.18246			0.591229	−	0.806504i	$-0.298643\pi$
$839$	2.41096e7			1.18246			0.591229	+	0.806504i	$0.298643\pi$
$840$	1.35411e6	−	3.37025e6i	0.0662148	−	0.164803i
$841$	−3.16245e7			−1.54182
$842$	2.97487e7	+	1.71754e7i	1.44607	+	0.834887i
$843$	−1.99385e7	−	2.48575e6i	−0.966328	−	0.120473i
$844$	−2.36212e6	−	4.09131e6i	−0.114142	−	0.197700i
$845$	−1.47296e6	+	2.55124e6i	−0.0709659	+	0.122917i
$846$	6.21629e6	−	1.75753e6i	0.298611	−	0.0844260i
$847$	5.02212e6	−	1.90308e7i	0.240535	−	0.911484i
$848$			4.63539e7i			2.21359i
$849$	6.11933e6	+	1.44910e7i	0.291363	+	0.689969i
$850$	−3.56572e6	+	2.05867e6i	−0.169278	+	0.0977327i
$851$	8.34035e6	−	4.81530e6i	0.394785	−	0.227929i
$852$	−2.25512e6	−	5.34030e6i	−0.106432	−	0.252038i
$853$		−	1.08498e7i		−	0.510561i	−0.966867	−	0.255281i	$-0.917832\pi$
$853$		−	1.08498e7i		−	0.510561i	0.966867	−	0.255281i	$-0.0821678\pi$
$854$	1.26420e7	+	1.25466e7i	0.593159	+	0.588683i
$855$	−9.24648e6	+	2.61425e6i	−0.432575	+	0.122302i
$856$	8.13994e6	−	1.40988e7i	0.379697	−	0.657654i
$857$	−1.45403e7	−	2.51845e7i	−0.676270	−	1.17133i	−0.976096	−	0.217341i	$-0.930262\pi$
$857$	−1.45403e7	−	2.51845e7i	−0.676270	−	1.17133i	0.299825	−	0.953994i	$-0.403072\pi$
$858$	4.21477e6	+	525457.i	0.195459	+	0.0243679i
$859$	3.18658e7	+	1.83977e7i	1.47347	+	0.850709i	0.999554	−	0.0298598i	$-0.00950607\pi$
$859$	3.18658e7	+	1.83977e7i	1.47347	+	0.850709i	0.473918	+	0.880569i	$0.342839\pi$
$860$	1.28087e6			0.0590555
$861$	4.40574e6	+	3.09154e7i	0.202540	+	1.42124i
$862$	2.22372e7			1.01932
$863$	2.47342e6	+	1.42803e6i	0.113050	+	0.0652695i	0.555459	−	0.831544i	$-0.312543\pi$
$863$	2.47342e6	+	1.42803e6i	0.113050	+	0.0652695i	−0.442409	+	0.896814i	$0.645876\pi$
$864$	−2.76269e6	−	1.80950e7i	−0.125907	−	0.824657i
$865$	−1.33645e6	−	2.31480e6i	−0.0607314	−	0.105190i
$866$	5.77575e6	−	1.00039e7i	0.261706	−	0.453288i
$867$	−1.71113e7	−	1.29442e7i	−0.773099	−	0.584826i
$868$	−7.69639e6	−	2.03103e6i	−0.346727	−	0.0914992i
$869$		−	4.81467e6i		−	0.216280i
$870$	−1.05212e7	+	4.44296e6i	−0.471269	+	0.199010i
$871$	−1.58619e7	+	9.15785e6i	−0.708449	+	0.409023i
$872$	7.84095e6	−	4.52697e6i	0.349202	−	0.201612i
$873$	1.50250e6	−	5.93224e6i	0.0667236	−	0.263441i
$874$		−	4.72202e7i		−	2.09098i
$875$	1.12456e7	−	3.05896e6i	0.496551	−	0.135068i
$876$	6.84074e6	−	9.04297e6i	0.301192	−	0.398154i
$877$	2.67593e6	−	4.63485e6i	0.117483	−	0.203487i	−0.801286	−	0.598281i	$-0.795851\pi$
$877$	2.67593e6	−	4.63485e6i	0.117483	−	0.203487i	0.918770	+	0.394794i	$0.129184\pi$
$878$	1.50466e7	+	2.60615e7i	0.658722	+	1.14094i
$879$	3.75498e6	−	3.01192e7i	0.163921	−	1.31484i
$880$	1.58470e6	+	914925.i	0.0689826	+	0.0398271i
$881$	−2.78347e6			−0.120822			−0.0604111	−	0.998174i	$-0.519241\pi$
$881$	−2.78347e6			−0.120822			−0.0604111	+	0.998174i	$0.519241\pi$
$882$	2.69865e7	+	6.61795e6i	1.16809	+	0.286452i
$883$	−626626.			−0.0270462			−0.0135231	−	0.999909i	$-0.504305\pi$
$883$	−626626.			−0.0270462			−0.0135231	+	0.999909i	$0.504305\pi$
$884$	−1.07540e6	−	620885.i	−0.0462851	−	0.0267227i
$885$	−225131.	+	1.80581e6i	−0.00966222	+	0.0775021i
$886$	−1.77577e7	−	3.07572e7i	−0.759979	−	1.31632i
$887$	2.13727e7	−	3.70186e7i	0.912117	−	1.57983i	0.101049	−	0.994881i	$-0.467780\pi$
$887$	2.13727e7	−	3.70186e7i	0.912117	−	1.57983i	0.811068	−	0.584951i	$-0.198886\pi$
$888$	−4.16943e6	+	5.51169e6i	−0.177437	+	0.234559i
$889$	1.77112e7	−	4.81768e6i	0.751613	−	0.204448i
$890$			1.38786e7i			0.587316i
$891$	5.67091e6	−	155859.i	0.239309	−	0.00657713i
$892$	−2.87719e6	+	1.66115e6i	−0.121076	+	0.0699030i
$893$	−8.97211e6	+	5.18005e6i	−0.376501	+	0.217373i
$894$	−2.75063e6	+	1.16155e6i	−0.115103	+	0.0486064i
$895$			2.12047e6i			0.0884861i
$896$	−2.61972e7	−	6.91328e6i	−1.09015	−	0.287683i
$897$	1.35660e7	+	1.02622e7i	0.562950	+	0.425855i
$898$	1.29359e7	−	2.24057e7i	0.535312	−	0.927188i
$899$	−1.55147e7	−	2.68723e7i	−0.640242	−	1.10893i
$900$	7.02715e6	−	7.22294e6i	0.289183	−	0.297240i
$901$	6.55400e6	+	3.78395e6i	0.268964	+	0.155286i
$902$	−1.01002e7			−0.413344
$903$	−1.71388e6	−	1.20264e7i	−0.0699458	−	0.490815i
$904$	−1.06141e7			−0.431979
$905$	4.15168e6	+	2.39697e6i	0.168501	+	0.0972840i
$906$	−688987.	−	85896.3i	−0.0278863	−	0.00347659i
$907$	−3.52054e6	−	6.09776e6i	−0.142099	−	0.246123i	0.786188	−	0.617988i	$-0.212052\pi$
$907$	−3.52054e6	−	6.09776e6i	−0.142099	−	0.246123i	−0.928287	+	0.371865i	$0.878719\pi$
$908$	3.20219e6	−	5.54635e6i	0.128894	−	0.223251i
$909$	5.16086e6	+	1.82537e7i	0.207163	+	0.732726i
$910$	3.89208e6	+	3.86271e6i	0.155804	+	0.154628i
$911$		−	1.05335e6i		−	0.0420509i	−0.999779	−	0.0210255i	$-0.993307\pi$
$911$		−	1.05335e6i		−	0.0420509i	0.999779	−	0.0210255i	$-0.00669310\pi$
$912$	2.05334e7	+	4.86246e7i	0.817474	+	1.93584i
$913$	8.97215e6	−	5.18008e6i	0.356221	−	0.205664i
$914$	1.08265e7	−	6.25067e6i	0.428669	−	0.247492i
$915$	1.82637e6	+	4.32498e6i	0.0721168	+	0.170778i
$916$			8.23180e6i			0.324157i
$917$	−5.06764e6	+	1.92033e7i	−0.199013	+	0.754141i
$918$	−5.00563e6	−	1.95355e6i	−0.196043	−	0.0765101i
$919$	−9.09983e6	+	1.57614e7i	−0.355422	+	0.615609i	−0.987190	−	0.159548i	$-0.948996\pi$
$919$	−9.09983e6	+	1.57614e7i	−0.355422	+	0.615609i	0.631768	+	0.775158i	$0.282330\pi$
$920$	2.35236e6	+	4.07441e6i	0.0916294	+	0.158707i
$921$	−3.05978e7	−	3.81464e6i	−1.18861	−	0.148185i
$922$	4.59443e7	+	2.65259e7i	1.77993	+	1.02765i
$923$	−1.08499e7			−0.419198
$924$	−1.03419e6	+	2.57401e6i	−0.0398494	+	0.0991815i
$925$	−1.06785e7			−0.410353
$926$	−1.50133e6	−	866794.i	−0.0575372	−	0.0332191i
$927$	1.70674e7	+	1.66047e7i	0.652330	+	0.634648i
$928$	1.74457e7	+	3.02169e7i	0.664997	+	1.15181i
$929$	−1.68357e7	+	2.91603e7i	−0.640018	+	1.10854i	0.345411	+	0.938452i	$0.387740\pi$
$929$	−1.68357e7	+	2.91603e7i	−0.640018	+	1.10854i	−0.985428	+	0.170091i	$0.945594\pi$
$930$	−5.42098e6	−	4.10081e6i	−0.205528	−	0.155476i
$931$	−4.45604e7	+	337554.i	−1.68490	+	0.0127635i
$932$			5.81450e6i			0.219267i
$933$	1.53868e7	−	6.49760e6i	0.578687	−	0.244371i
$934$	−2.93730e7	+	1.69585e7i	−1.10175	+	0.636094i
$935$	258723.	−	149374.i	0.00967846	−	0.00558786i
$936$	−1.18332e7	−	2.99708e6i	−0.441481	−	0.111817i
$937$			3.25239e7i			1.21019i	0.796153	+	0.605095i	$0.206865\pi$
$937$			3.25239e7i			1.21019i	−0.796153	+	0.605095i	$0.793135\pi$
$938$	−1.01720e7	−	3.73952e7i	−0.377484	−	1.38774i
$939$	−3.91489e6	+	5.17520e6i	−0.144896	+	0.191542i
$940$	−416307.	+	721065.i	−0.0153672	+	0.0266167i
$941$	−8.14740e6	−	1.41117e7i	−0.299947	−	0.519524i	0.676176	−	0.736740i	$-0.263636\pi$
$941$	−8.14740e6	−	1.41117e7i	−0.299947	−	0.519524i	−0.976124	+	0.217216i	$0.930302\pi$
$942$	894373.	−	7.17390e6i	0.0328391	−	0.263407i
$943$	−3.50305e7	−	2.02249e7i	−1.28282	−	0.740639i
$944$	9.99618e6			0.365093
$945$	5.91760e6	+	4.31554e6i	0.215559	+	0.157201i
$946$	3.92908e6			0.142746
$947$	−1.05238e7	−	6.07589e6i	−0.381325	−	0.220158i	0.297069	−	0.954856i	$-0.403991\pi$
$947$	−1.05238e7	−	6.07589e6i	−0.381325	−	0.220158i	−0.678395	+	0.734698i	$0.737324\pi$
$948$	1.38081e6	−	1.10757e7i	0.0499014	−	0.400267i
$949$	−1.06113e7	−	1.83793e7i	−0.382474	−	0.662465i
$950$	−2.61792e7	+	4.53437e7i	−0.941124	+	1.63007i
$951$	2.71991e7	−	3.59552e7i	0.975220	−	1.28917i
$952$	−2.29453e6	+	2.31198e6i	−0.0820545	+	0.0826784i
$953$		−	2.91378e7i		−	1.03926i	−0.854391	−	0.519630i	$-0.826070\pi$
$953$		−	2.91378e7i		−	1.03926i	0.854391	−	0.519630i	$-0.173930\pi$
$954$	−5.81714e7	−	1.47335e7i	−2.06937	−	0.524125i
$955$	6.83022e6	−	3.94343e6i	0.242341	−	0.139915i
$956$	−3.29316e6	+	1.90131e6i	−0.116538	+	0.0672833i
$957$	−9.96191e6	+	4.20676e6i	−0.351611	+	0.148480i
$958$			5.24696e7i			1.84711i
$959$	−8.24095e6	+	8.30361e6i	−0.289355	+	0.291555i
$960$	−1.48141e6	−	1.12064e6i	−0.0518796	−	0.0392454i
$961$	−5.08073e6	+	8.80008e6i	−0.177467	+	0.307382i
$962$	−5.21693e6	−	9.03598e6i	−0.181751	−	0.314802i
$963$	2.35296e7	+	2.28918e7i	0.817616	+	0.795453i
$964$	4.80685e6	+	2.77524e6i	0.166597	+	0.0961850i
$965$	−1.42030e6			−0.0490978
$966$	−2.83191e7	+	2.22135e7i	−0.976421	+	0.765903i
$967$	4.05970e7			1.39614			0.698068	−	0.716032i	$-0.254043\pi$
$967$	4.05970e7			1.39614			0.698068	+	0.716032i	$0.254043\pi$
$968$	−1.58444e7	−	9.14775e6i	−0.543484	−	0.313780i
$969$	8.55123e6	+	1.06609e6i	0.292563	+	0.0364739i
$970$	1.27765e6	+	2.21296e6i	0.0435997	+	0.0755169i
$971$	5.60678e6	−	9.71123e6i	0.190838	−	0.330542i	−0.754690	−	0.656082i	$-0.772213\pi$
$971$	5.60678e6	−	9.71123e6i	0.190838	−	0.330542i	0.945528	+	0.325540i	$0.105546\pi$
$972$	1.30901e7	+	1.26784e6i	0.444403	+	0.0430425i
$973$	4.53303e6	+	1.66648e7i	0.153499	+	0.564309i
$974$		−	5.52478e7i		−	1.86603i
$975$	−7.33740e6	−	1.73755e7i	−0.247190	−	0.585363i
$976$	2.23337e7	−	1.28943e7i	0.750474	−	0.433286i
$977$	−2.45020e7	+	1.41462e7i	−0.821231	+	0.474138i	−0.850841	−	0.525424i	$-0.823907\pi$
$977$	−2.45020e7	+	1.41462e7i	−0.821231	+	0.474138i	0.0296098	+	0.999562i	$0.490574\pi$
$978$	−1.74858e7	−	4.14075e7i	−0.584571	−	1.38431i
$979$			1.31408e7i			0.438194i
$980$	−3.08785e6	+	1.81410e6i	−0.102705	+	0.0603386i
$981$	4.96710e6	+	1.75684e7i	0.164790	+	0.582854i
$982$	2.62861e7	−	4.55289e7i	0.869858	−	1.50664i
$983$	1.72039e7	+	2.97981e7i	0.567863	+	0.983568i	0.996777	+	0.0802222i	$0.0255630\pi$
$983$	1.72039e7	+	2.97981e7i	0.567863	+	0.983568i	−0.428914	+	0.903345i	$0.641104\pi$
$984$	2.88044e7	+	3.59106e6i	0.948355	+	0.118232i
$985$	9.11555e6	+	5.26286e6i	0.299359	+	0.172835i
$986$	1.02424e7			0.335513
$987$	7.32730e6	+	2.94398e6i	0.239415	+	0.0961928i
$988$	−1.57910e7			−0.514657
$989$	1.36273e7	+	7.86772e6i	0.443015	+	0.255775i
$990$	−1.65187e6	+	1.69789e6i	−0.0535658	+	0.0550582i
$991$	2.48971e7	+	4.31231e7i	0.805313	+	1.39484i	0.916079	+	0.400997i	$0.131336\pi$
$991$	2.48971e7	+	4.31231e7i	0.805313	+	1.39484i	−0.110766	+	0.993846i	$0.535330\pi$
$992$	−1.03831e7	+	1.79841e7i	−0.335004	+	0.580243i
$993$	−4.32331e7	−	3.27045e7i	−1.39137	−	1.05253i
$994$	5.85770e6	−	2.21972e7i	0.188045	−	0.712577i
$995$		−	1.30211e6i		−	0.0416956i
$996$	2.21252e7	−	9.34312e6i	0.706706	−	0.298431i
$997$	8.76673e6	−	5.06147e6i	0.279318	−	0.161265i	−0.353796	−	0.935322i	$-0.615109\pi$
$997$	8.76673e6	−	5.06147e6i	0.279318	−	0.161265i	0.633115	+	0.774058i	$0.281776\pi$
$998$	1.37327e7	−	7.92859e6i	0.436445	−	0.251982i
$999$	−8.70974e6	−	1.08790e7i	−0.276116	−	0.344887i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	21.6.g.c.5.2	✓	16
3.2	odd	2	inner	21.6.g.c.5.7	yes	16
7.2	even	3		147.6.c.c.146.14		16
7.3	odd	6	inner	21.6.g.c.17.7	yes	16
7.5	odd	6		147.6.c.c.146.13		16
21.2	odd	6		147.6.c.c.146.3		16
21.5	even	6		147.6.c.c.146.4		16
21.17	even	6	inner	21.6.g.c.17.2	yes	16

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
21.6.g.c.5.2	✓	16	1.1	even	1	trivial
21.6.g.c.5.7	yes	16	3.2	odd	2	inner
21.6.g.c.17.2	yes	16	21.17	even	6	inner
21.6.g.c.17.7	yes	16	7.3	odd	6	inner
147.6.c.c.146.3		16	21.2	odd	6
147.6.c.c.146.4		16	21.5	even	6
147.6.c.c.146.13		16	7.5	odd	6
147.6.c.c.146.14		16	7.2	even	3

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 21 = 3 \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 6 \)
Character orbit:	\([\chi]\)	\(=\)	21.g (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-5.89199 - 3.40174i) q^{2} +(1.92849 - 15.4687i) q^{3} +(7.14372 + 12.3733i) q^{4} +(-7.45706 + 12.9160i) q^{5} +(-63.9832 + 84.5813i) q^{6} +(-125.096 + 34.0278i) q^{7} +120.507i q^{8} +(-235.562 - 59.6625i) q^{9} +O(q^{10})\)	\(q+(-5.89199 - 3.40174i) q^{2} +(1.92849 - 15.4687i) q^{3} +(7.14372 + 12.3733i) q^{4} +(-7.45706 + 12.9160i) q^{5} +(-63.9832 + 84.5813i) q^{6} +(-125.096 + 34.0278i) q^{7} +120.507i q^{8} +(-235.562 - 59.6625i) q^{9} +(87.8738 - 50.7340i) q^{10} +(83.2023 - 48.0368i) q^{11} +(205.175 - 86.6424i) q^{12} -416.854i q^{13} +(852.821 + 225.054i) q^{14} +(185.413 + 140.259i) q^{15} +(638.534 - 1105.97i) q^{16} +(-104.249 - 180.565i) q^{17} +(1184.97 + 1152.85i) q^{18} +(-2296.16 - 1325.69i) q^{19} -213.085 q^{20} +(285.119 + 2000.70i) q^{21} -653.636 q^{22} +(-2267.02 - 1308.86i) q^{23} +(1864.09 + 232.397i) q^{24} +(1451.28 + 2513.70i) q^{25} +(-1418.03 + 2456.10i) q^{26} +(-1377.18 + 3528.78i) q^{27} +(-1314.69 - 1304.77i) q^{28} -7220.50i q^{29} +(-615.325 - 1457.13i) q^{30} +(3721.66 - 2148.70i) q^{31} +(-4184.88 + 2416.14i) q^{32} +(-582.613 - 1379.67i) q^{33} +1418.52i q^{34} +(493.347 - 1869.49i) q^{35} +(-944.567 - 3340.89i) q^{36} +(-1839.50 + 3186.10i) q^{37} +(9019.31 + 15621.9i) q^{38} +(-6448.19 - 803.898i) q^{39} +(-1556.47 - 898.629i) q^{40} +15452.3 q^{41} +(5125.95 - 12758.0i) q^{42} -6011.11 q^{43} +(1188.75 + 686.324i) q^{44} +(2527.20 - 2597.61i) q^{45} +(8904.83 + 15423.6i) q^{46} +(1953.72 - 3383.94i) q^{47} +(-15876.6 - 12010.1i) q^{48} +(14491.2 - 8513.51i) q^{49} -19747.6i q^{50} +(-2994.15 + 1264.38i) q^{51} +(5157.85 - 2977.89i) q^{52} +(-31434.3 + 18148.6i) q^{53} +(20118.3 - 16106.7i) q^{54} +1432.85i q^{55} +(-4100.60 - 15075.0i) q^{56} +(-24934.8 + 32962.1i) q^{57} +(-24562.3 + 42543.1i) q^{58} +(3913.73 + 6778.77i) q^{59} +(-410.931 + 3296.14i) q^{60} +(17488.2 + 10096.8i) q^{61} -29237.3 q^{62} +(31498.1 - 552.092i) q^{63} -7989.78 q^{64} +(5384.08 + 3108.50i) q^{65} +(-1260.53 + 10110.9i) q^{66} +(-21969.0 - 38051.4i) q^{67} +(1489.45 - 2579.81i) q^{68} +(-24618.3 + 32543.7i) q^{69} +(-9266.33 + 9336.79i) q^{70} -26028.0i q^{71} +(7189.76 - 28386.9i) q^{72} +(44090.5 - 25455.6i) q^{73} +(21676.6 - 12515.0i) q^{74} +(41682.5 - 17601.9i) q^{75} -37881.4i q^{76} +(-8773.71 + 8840.43i) q^{77} +(35258.0 + 26671.6i) q^{78} +(25057.2 - 43400.3i) q^{79} +(9523.16 + 16494.6i) q^{80} +(51929.8 + 28108.4i) q^{81} +(-91044.6 - 52564.6i) q^{82} +107835. q^{83} +(-22718.5 + 17820.3i) q^{84} +3109.57 q^{85} +(35417.4 + 20448.3i) q^{86} +(-111692. - 13924.7i) q^{87} +(5788.78 + 10026.5i) q^{88} +(-68389.3 + 118454. i) q^{89} +(-23726.6 + 6708.22i) q^{90} +(14184.6 + 52146.9i) q^{91} -37400.6i q^{92} +(-26060.5 - 61713.1i) q^{93} +(-23022.6 + 13292.1i) q^{94} +(34245.2 - 19771.5i) q^{95} +(29304.1 + 69394.2i) q^{96} +25183.4i q^{97} +(-114343. + 866.170i) q^{98} +(-22465.3 + 6351.59i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 16 q + 18 q^{3} + 86 q^{4} - 616 q^{7} - 606 q^{9}+O(q^{10}) \) 16 * q + 18 * q^3 + 86 * q^4 - 616 * q^7 - 606 * q^9	\( 16 q + 18 q^{3} + 86 q^{4} - 616 q^{7} - 606 q^{9} - 546 q^{10} + 4128 q^{12} + 1188 q^{15} - 2858 q^{16} - 438 q^{18} + 3258 q^{19} + 882 q^{21} - 21900 q^{22} + 10374 q^{24} - 6578 q^{25} + 34006 q^{28} + 450 q^{30} - 9792 q^{31} + 17556 q^{33} - 15132 q^{36} - 10466 q^{37} - 17418 q^{39} - 60774 q^{40} - 56994 q^{42} + 111052 q^{43} - 31374 q^{45} + 81696 q^{46} - 51548 q^{49} + 31596 q^{51} + 126960 q^{52} + 7434 q^{54} - 31368 q^{57} - 41706 q^{58} + 60066 q^{60} - 128580 q^{61} - 123606 q^{63} - 158884 q^{64} - 160314 q^{66} - 102202 q^{67} + 234318 q^{70} + 330864 q^{72} + 345150 q^{73} + 428202 q^{75} - 277512 q^{78} - 251308 q^{79} + 179262 q^{81} - 534576 q^{82} + 106176 q^{84} + 205152 q^{85} - 551922 q^{87} - 359514 q^{88} + 65814 q^{91} + 17676 q^{93} + 276612 q^{94} + 1043910 q^{96} + 215472 q^{99}+O(q^{100}) \) 16 * q + 18 * q^3 + 86 * q^4 - 616 * q^7 - 606 * q^9 - 546 * q^10 + 4128 * q^12 + 1188 * q^15 - 2858 * q^16 - 438 * q^18 + 3258 * q^19 + 882 * q^21 - 21900 * q^22 + 10374 * q^24 - 6578 * q^25 + 34006 * q^28 + 450 * q^30 - 9792 * q^31 + 17556 * q^33 - 15132 * q^36 - 10466 * q^37 - 17418 * q^39 - 60774 * q^40 - 56994 * q^42 + 111052 * q^43 - 31374 * q^45 + 81696 * q^46 - 51548 * q^49 + 31596 * q^51 + 126960 * q^52 + 7434 * q^54 - 31368 * q^57 - 41706 * q^58 + 60066 * q^60 - 128580 * q^61 - 123606 * q^63 - 158884 * q^64 - 160314 * q^66 - 102202 * q^67 + 234318 * q^70 + 330864 * q^72 + 345150 * q^73 + 428202 * q^75 - 277512 * q^78 - 251308 * q^79 + 179262 * q^81 - 534576 * q^82 + 106176 * q^84 + 205152 * q^85 - 551922 * q^87 - 359514 * q^88 + 65814 * q^91 + 17676 * q^93 + 276612 * q^94 + 1043910 * q^96 + 215472 * q^99

Introduction

L-functions

Modular forms

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Database

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