LMFDB - Embedded newform 930.2.bj.b.277.15

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [930,2,Mod(277,930)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(930, base_ring=CyclotomicField(20))

chi = DirichletCharacter(H, H._module([0, 5, 6]))

N = Newforms(chi, 2, names="a")

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

chi := DirichletCharacter("930.277");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 930 = 2 \cdot 3 \cdot 5 \cdot 31 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	930.bj (of order $20$, degree $8$, 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:	$7.42608738798$
Analytic rank:	$0$
Dimension:	$128$
Relative dimension:	$16$ over $\Q(\zeta_{20})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label			277.15
Character	$\chi$	$=$	930.277
Dual form			930.2.bj.b.883.15

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.156434 + 0.987688i) q^{2} +(0.987688 + 0.156434i) q^{3} +(-0.951057 + 0.309017i) q^{4} +(2.22022 + 0.265769i) q^{5} +1.00000i q^{6} +(1.65375 - 3.24566i) q^{7} +(-0.453990 - 0.891007i) q^{8} +(0.951057 + 0.309017i) q^{9} +O(q^{10})$	\(q+(0.156434 + 0.987688i) q^{2} +(0.987688 + 0.156434i) q^{3} +(-0.951057 + 0.309017i) q^{4} +(2.22022 + 0.265769i) q^{5} +1.00000i q^{6} +(1.65375 - 3.24566i) q^{7} +(-0.453990 - 0.891007i) q^{8} +(0.951057 + 0.309017i) q^{9} +(0.0848219 + 2.23446i) q^{10} +(3.96438 - 1.28811i) q^{11} +(-0.987688 + 0.156434i) q^{12} +(-5.73190 - 0.907843i) q^{13} +(3.46440 + 1.12565i) q^{14} +(2.15131 + 0.609815i) q^{15} +(0.809017 - 0.587785i) q^{16} +(0.546387 + 1.07234i) q^{17} +(-0.156434 + 0.987688i) q^{18} +(1.00840 - 1.38794i) q^{19} +(-2.19368 + 0.433324i) q^{20} +(2.14112 - 2.94700i) q^{21} +(1.89241 + 3.71407i) q^{22} +(2.76493 - 1.40880i) q^{23} +(-0.309017 - 0.951057i) q^{24} +(4.85873 + 1.18013i) q^{25} -5.80335i q^{26} +(0.891007 + 0.453990i) q^{27} +(-0.569842 + 3.59784i) q^{28} +(-4.07015 - 2.95714i) q^{29} +(-0.265769 + 2.22022i) q^{30} +(-1.66984 - 5.31146i) q^{31} +(0.707107 + 0.707107i) q^{32} +(4.11708 - 0.652081i) q^{33} +(-0.973668 + 0.707411i) q^{34} +(4.53427 - 6.76656i) q^{35} -1.00000 q^{36} +(-1.32005 + 1.32005i) q^{37} +(1.52860 + 0.778862i) q^{38} +(-5.51931 - 1.79333i) q^{39} +(-0.771156 - 2.09889i) q^{40} +(5.35870 + 3.89332i) q^{41} +(3.24566 + 1.65375i) q^{42} +(1.31121 + 8.27866i) q^{43} +(-3.37231 + 2.45012i) q^{44} +(2.02943 + 0.938846i) q^{45} +(1.82399 + 2.51050i) q^{46} +(-8.20035 - 1.29881i) q^{47} +(0.891007 - 0.453990i) q^{48} +(-3.68493 - 5.07187i) q^{49} +(-0.405526 + 4.98353i) q^{50} +(0.371908 + 1.14462i) q^{51} +(5.73190 - 0.907843i) q^{52} +(-3.61803 + 1.84348i) q^{53} +(-0.309017 + 0.951057i) q^{54} +(9.14413 - 1.80627i) q^{55} -3.64269 q^{56} +(1.21311 - 1.21311i) q^{57} +(2.28402 - 4.48264i) q^{58} +(2.09176 + 2.87905i) q^{59} +(-2.23446 + 0.0848219i) q^{60} +15.3720i q^{61} +(4.98485 - 2.48018i) q^{62} +(2.57577 - 2.57577i) q^{63} +(-0.587785 + 0.809017i) q^{64} +(-12.4848 - 3.53897i) q^{65} +(1.28811 + 3.96438i) q^{66} +(3.59414 + 3.59414i) q^{67} +(-0.851017 - 0.851017i) q^{68} +(2.95127 - 0.958927i) q^{69} +(7.39256 + 3.41992i) q^{70} +(-1.81376 + 5.58216i) q^{71} +(-0.156434 - 0.987688i) q^{72} +(-2.68640 + 5.27236i) q^{73} +(-1.51030 - 1.09730i) q^{74} +(4.61430 + 1.92567i) q^{75} +(-0.530147 + 1.63162i) q^{76} +(2.37533 - 14.9972i) q^{77} +(0.907843 - 5.73190i) q^{78} +(-0.558359 + 1.71845i) q^{79} +(1.95241 - 1.09000i) q^{80} +(0.809017 + 0.587785i) q^{81} +(-3.00710 + 5.90177i) q^{82} +(0.572712 + 3.61596i) q^{83} +(-1.12565 + 3.46440i) q^{84} +(0.928102 + 2.52605i) q^{85} +(-7.97161 + 2.59013i) q^{86} +(-3.55744 - 3.55744i) q^{87} +(-2.94750 - 2.94750i) q^{88} +(3.45353 + 10.6289i) q^{89} +(-0.609815 + 2.15131i) q^{90} +(-12.4257 + 17.1024i) q^{91} +(-2.19426 + 2.19426i) q^{92} +(-0.818390 - 5.50729i) q^{93} -8.30257i q^{94} +(2.60774 - 2.81353i) q^{95} +(0.587785 + 0.809017i) q^{96} +(2.35782 - 4.62749i) q^{97} +(4.43298 - 4.43298i) q^{98} +4.16840 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 128 q + 4 q^{7}+O(q^{10}) $ 128 * q + 4 * q^7	$ 128 q + 4 q^{7} - 4 q^{10} - 4 q^{15} + 32 q^{16} + 12 q^{17} + 40 q^{19} + 40 q^{21} + 4 q^{22} + 32 q^{24} - 8 q^{25} - 4 q^{28} - 8 q^{29} + 20 q^{31} + 4 q^{33} + 24 q^{35} - 128 q^{36} - 64 q^{37} - 16 q^{38} - 24 q^{41} + 16 q^{42} - 24 q^{43} + 8 q^{44} + 20 q^{46} - 12 q^{47} + 100 q^{49} - 24 q^{50} + 64 q^{53} + 32 q^{54} + 68 q^{55} - 16 q^{57} + 40 q^{58} + 8 q^{62} - 4 q^{63} + 84 q^{65} - 12 q^{66} - 32 q^{67} - 8 q^{68} + 88 q^{70} + 24 q^{71} + 20 q^{73} + 16 q^{74} - 24 q^{75} - 24 q^{76} + 60 q^{77} + 56 q^{79} + 32 q^{81} - 16 q^{82} + 8 q^{83} - 68 q^{85} - 20 q^{87} + 4 q^{88} - 136 q^{89} - 40 q^{91} + 48 q^{93} - 92 q^{95} + 64 q^{97} - 16 q^{98} + 8 q^{99}+O(q^{100}) $ 128 * q + 4 * q^7 - 4 * q^10 - 4 * q^15 + 32 * q^16 + 12 * q^17 + 40 * q^19 + 40 * q^21 + 4 * q^22 + 32 * q^24 - 8 * q^25 - 4 * q^28 - 8 * q^29 + 20 * q^31 + 4 * q^33 + 24 * q^35 - 128 * q^36 - 64 * q^37 - 16 * q^38 - 24 * q^41 + 16 * q^42 - 24 * q^43 + 8 * q^44 + 20 * q^46 - 12 * q^47 + 100 * q^49 - 24 * q^50 + 64 * q^53 + 32 * q^54 + 68 * q^55 - 16 * q^57 + 40 * q^58 + 8 * q^62 - 4 * q^63 + 84 * q^65 - 12 * q^66 - 32 * q^67 - 8 * q^68 + 88 * q^70 + 24 * q^71 + 20 * q^73 + 16 * q^74 - 24 * q^75 - 24 * q^76 + 60 * q^77 + 56 * q^79 + 32 * q^81 - 16 * q^82 + 8 * q^83 - 68 * q^85 - 20 * q^87 + 4 * q^88 - 136 * q^89 - 40 * q^91 + 48 * q^93 - 92 * q^95 + 64 * q^97 - 16 * q^98 + 8 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/930\mathbb{Z}\right)^\times$.

$n$	$187$	$311$	$871$
$\chi(n)$	$e\left(\frac{1}{4}\right)$	$1$	$e\left(\frac{3}{10}\right)$

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 $

$2$	0.156434	+	0.987688i	0.110616	+	0.698401i
$2$	0.156434	+	0.987688i	0.110616	+	0.698401i
$3$	0.987688	+	0.156434i	0.570242	+	0.0903175i
$3$	0.987688	+	0.156434i	0.570242	+	0.0903175i
$4$	−0.951057	+	0.309017i	−0.475528	+	0.154508i
$5$	2.22022	+	0.265769i	0.992912	+	0.118855i
$5$	2.22022	+	0.265769i	0.992912	+	0.118855i
$6$			1.00000i			0.408248i
$7$	1.65375	−	3.24566i	0.625057	−	1.22674i	−0.333743	−	0.942664i	$-0.608312\pi$
$7$	1.65375	−	3.24566i	0.625057	−	1.22674i	0.958801	−	0.284080i	$-0.0916881\pi$
$8$	−0.453990	−	0.891007i	−0.160510	−	0.315018i
$9$	0.951057	+	0.309017i	0.317019	+	0.103006i
$10$	0.0848219	+	2.23446i	0.0268230	+	0.706598i
$11$	3.96438	−	1.28811i	1.19531	−	0.388379i	0.357275	−	0.933999i	$-0.383706\pi$
$11$	3.96438	−	1.28811i	1.19531	−	0.388379i	0.838032	+	0.545621i	$0.183706\pi$
$12$	−0.987688	+	0.156434i	−0.285121	+	0.0451587i
$13$	−5.73190	−	0.907843i	−1.58974	−	0.251790i	−0.702016	−	0.712161i	$-0.747716\pi$
$13$	−5.73190	−	0.907843i	−1.58974	−	0.251790i	−0.887727	+	0.460371i	$0.847716\pi$
$14$	3.46440	+	1.12565i	0.925901	+	0.300843i
$15$	2.15131	+	0.609815i	0.555465	+	0.157454i
$16$	0.809017	−	0.587785i	0.202254	−	0.146946i
$17$	0.546387	+	1.07234i	0.132518	+	0.260082i	0.947725	−	0.319088i	$-0.103377\pi$
$17$	0.546387	+	1.07234i	0.132518	+	0.260082i	−0.815207	+	0.579170i	$0.803377\pi$
$18$	−0.156434	+	0.987688i	−0.0368720	+	0.232800i
$19$	1.00840	−	1.38794i	0.231343	−	0.318416i	−0.677526	−	0.735499i	$-0.736948\pi$
$19$	1.00840	−	1.38794i	0.231343	−	0.318416i	0.908868	+	0.417083i	$0.136948\pi$
$20$	−2.19368	+	0.433324i	−0.490522	+	0.0968942i
$21$	2.14112	−	2.94700i	0.467230	−	0.643087i
$22$	1.89241	+	3.71407i	0.403464	+	0.791843i
$23$	2.76493	−	1.40880i	0.576528	−	0.293755i	−0.141311	−	0.989965i	$-0.545132\pi$
$23$	2.76493	−	1.40880i	0.576528	−	0.293755i	0.717838	+	0.696210i	$0.245132\pi$
$24$	−0.309017	−	0.951057i	−0.0630778	−	0.194134i
$25$	4.85873	+	1.18013i	0.971747	+	0.236026i
$26$		−	5.80335i		−	1.13813i
$27$	0.891007	+	0.453990i	0.171474	+	0.0873705i
$28$	−0.569842	+	3.59784i	−0.107690	+	0.679928i
$29$	−4.07015	−	2.95714i	−0.755808	−	0.549126i	0.141814	−	0.989893i	$-0.454707\pi$
$29$	−4.07015	−	2.95714i	−0.755808	−	0.549126i	−0.897622	+	0.440767i	$0.854707\pi$
$30$	−0.265769	+	2.22022i	−0.0485225	+	0.405354i
$31$	−1.66984	−	5.31146i	−0.299913	−	0.953967i
$31$	−1.66984	−	5.31146i	−0.299913	−	0.953967i
$32$	0.707107	+	0.707107i	0.125000	+	0.125000i
$33$	4.11708	−	0.652081i	0.716692	−	0.113513i
$34$	−0.973668	+	0.707411i	−0.166983	+	0.121320i
$35$	4.53427	−	6.76656i	0.766432	−	1.14376i
$36$	−1.00000			−0.166667
$37$	−1.32005	+	1.32005i	−0.217015	+	0.217015i	−0.807239	−	0.590224i	$-0.799039\pi$
$37$	−1.32005	+	1.32005i	−0.217015	+	0.217015i	0.590224	+	0.807239i	$0.299039\pi$
$38$	1.52860	+	0.778862i	0.247972	+	0.126348i
$39$	−5.51931	−	1.79333i	−0.883797	−	0.287163i
$40$	−0.771156	−	2.09889i	−0.121930	−	0.331863i
$41$	5.35870	+	3.89332i	0.836888	+	0.608035i	0.921500	−	0.388379i	$-0.126965\pi$
$41$	5.35870	+	3.89332i	0.836888	+	0.608035i	−0.0846115	+	0.996414i	$0.526965\pi$
$42$	3.24566	+	1.65375i	0.500816	+	0.255179i
$43$	1.31121	+	8.27866i	0.199958	+	1.26248i	0.859625	+	0.510926i	$0.170697\pi$
$43$	1.31121	+	8.27866i	0.199958	+	1.26248i	−0.659667	+	0.751558i	$0.729303\pi$
$44$	−3.37231	+	2.45012i	−0.508394	+	0.369370i
$45$	2.02943	+	0.938846i	0.302529	+	0.139955i
$46$	1.82399	+	2.51050i	0.268932	+	0.370154i
$47$	−8.20035	−	1.29881i	−1.19614	−	0.189451i	−0.473577	−	0.880752i	$-0.657038\pi$
$47$	−8.20035	−	1.29881i	−1.19614	−	0.189451i	−0.722566	+	0.691302i	$0.757038\pi$
$48$	0.891007	−	0.453990i	0.128606	−	0.0655279i
$49$	−3.68493	−	5.07187i	−0.526419	−	0.724553i
$50$	−0.405526	+	4.98353i	−0.0573501	+	0.704777i
$51$	0.371908	+	1.14462i	0.0520776	+	0.160278i
$52$	5.73190	−	0.907843i	0.794871	−	0.125895i
$53$	−3.61803	+	1.84348i	−0.496974	+	0.253221i	−0.684465	−	0.729045i	$-0.739964\pi$
$53$	−3.61803	+	1.84348i	−0.496974	+	0.253221i	0.187491	+	0.982266i	$0.439964\pi$
$54$	−0.309017	+	0.951057i	−0.0420519	+	0.129422i
$55$	9.14413	−	1.80627i	1.23299	−	0.243557i
$56$	−3.64269			−0.486775
$57$	1.21311	−	1.21311i	0.160680	−	0.160680i
$58$	2.28402	−	4.48264i	0.299906	−	0.588599i
$59$	2.09176	+	2.87905i	0.272323	+	0.374821i	0.923172	−	0.384386i	$-0.125587\pi$
$59$	2.09176	+	2.87905i	0.272323	+	0.374821i	−0.650849	+	0.759207i	$0.725587\pi$
$60$	−2.23446	+	0.0848219i	−0.288467	+	0.0109505i
$61$			15.3720i			1.96818i	0.177676	+	0.984089i	$0.443142\pi$
$61$			15.3720i			1.96818i	−0.177676	+	0.984089i	$0.556858\pi$
$62$	4.98485	−	2.48018i	0.633076	−	0.314983i
$63$	2.57577	−	2.57577i	0.324516	−	0.324516i
$64$	−0.587785	+	0.809017i	−0.0734732	+	0.101127i
$65$	−12.4848	−	3.53897i	−1.54855	−	0.438955i
$66$	1.28811	+	3.96438i	0.158555	+	0.487982i
$67$	3.59414	+	3.59414i	0.439094	+	0.439094i	0.891707	−	0.452613i	$-0.149508\pi$
$67$	3.59414	+	3.59414i	0.439094	+	0.439094i	−0.452613	+	0.891707i	$0.649508\pi$
$68$	−0.851017	−	0.851017i	−0.103201	−	0.103201i
$69$	2.95127	−	0.958927i	0.355292	−	0.115441i
$70$	7.39256	+	3.41992i	0.883580	+	0.408759i
$71$	−1.81376	+	5.58216i	−0.215253	+	0.662481i	0.783882	+	0.620909i	$0.213236\pi$
$71$	−1.81376	+	5.58216i	−0.215253	+	0.662481i	−0.999136	+	0.0415717i	$0.986764\pi$
$72$	−0.156434	−	0.987688i	−0.0184360	−	0.116400i
$73$	−2.68640	+	5.27236i	−0.314419	+	0.617083i	−0.993089	−	0.117361i	$-0.962557\pi$
$73$	−2.68640	+	5.27236i	−0.314419	+	0.617083i	0.678670	+	0.734443i	$0.262557\pi$
$74$	−1.51030	−	1.09730i	−0.175569	−	0.127558i
$75$	4.61430	+	1.92567i	0.532814	+	0.222358i
$76$	−0.530147	+	1.63162i	−0.0608120	+	0.187160i
$77$	2.37533	−	14.9972i	0.270694	−	1.70909i
$78$	0.907843	−	5.73190i	0.102793	−	0.649010i
$79$	−0.558359	+	1.71845i	−0.0628203	+	0.193341i	−0.977541	−	0.210746i	$-0.932411\pi$
$79$	−0.558359	+	1.71845i	−0.0628203	+	0.193341i	0.914721	+	0.404087i	$0.132411\pi$
$80$	1.95241	−	1.09000i	0.218286	−	0.121866i
$81$	0.809017	+	0.587785i	0.0898908	+	0.0653095i
$82$	−3.00710	+	5.90177i	−0.332079	+	0.651742i
$83$	0.572712	+	3.61596i	0.0628633	+	0.396903i	0.998978	+	0.0452073i	$0.0143948\pi$
$83$	0.572712	+	3.61596i	0.0628633	+	0.396903i	−0.936114	+	0.351696i	$0.885605\pi$
$84$	−1.12565	+	3.46440i	−0.122819	+	0.377997i
$85$	0.928102	+	2.52605i	0.100667	+	0.273989i
$86$	−7.97161	+	2.59013i	−0.859601	+	0.279301i
$87$	−3.55744	−	3.55744i	−0.381398	−	0.381398i
$88$	−2.94750	−	2.94750i	−0.314205	−	0.314205i
$89$	3.45353	+	10.6289i	0.366074	+	1.12666i	0.949306	+	0.314354i	$0.101788\pi$
$89$	3.45353	+	10.6289i	0.366074	+	1.12666i	−0.583232	+	0.812305i	$0.698212\pi$
$90$	−0.609815	+	2.15131i	−0.0642802	+	0.226768i
$91$	−12.4257	+	17.1024i	−1.30256	+	1.79282i
$92$	−2.19426	+	2.19426i	−0.228767	+	0.228767i
$93$	−0.818390	−	5.50729i	−0.0848631	−	0.571079i
$94$		−	8.30257i		−	0.856344i
$95$	2.60774	−	2.81353i	0.267548	−	0.288663i
$96$	0.587785	+	0.809017i	0.0599906	+	0.0825700i
$97$	2.35782	−	4.62749i	0.239401	−	0.469851i	−0.739778	−	0.672851i	$-0.765069\pi$
$97$	2.35782	−	4.62749i	0.239401	−	0.469851i	0.979179	+	0.203001i	$0.0650694\pi$
$98$	4.43298	−	4.43298i	0.447798	−	0.447798i
$99$	4.16840			0.418940
$100$	−4.98561	+	0.379062i	−0.498561	+	0.0379062i
$101$	3.79043	−	11.6657i	0.377162	−	1.16078i	−0.564847	−	0.825196i	$-0.691065\pi$
$101$	3.79043	−	11.6657i	0.377162	−	1.16078i	0.942009	−	0.335589i	$-0.108935\pi$
$102$	−1.07234	+	0.546387i	−0.106178	+	0.0541003i
$103$	1.41724	−	0.224468i	0.139645	−	0.0221175i	−0.0862208	−	0.996276i	$-0.527479\pi$
$103$	1.41724	−	0.224468i	0.139645	−	0.0221175i	0.225865	+	0.974159i	$0.427479\pi$
$104$	1.79333	+	5.51931i	0.175851	+	0.541213i
$105$	5.53697	−	5.97393i	0.540353	−	0.582996i
$106$	−2.38676	−	3.28510i	−0.231823	−	0.319077i
$107$	−0.812501	+	0.413990i	−0.0785475	+	0.0400219i	−0.492823	−	0.870130i	$-0.664035\pi$
$107$	−0.812501	+	0.413990i	−0.0785475	+	0.0400219i	0.414276	+	0.910152i	$0.364035\pi$
$108$	−0.987688	−	0.156434i	−0.0950404	−	0.0150529i
$109$	−7.67031	−	10.5573i	−0.734683	−	1.01120i	−0.998907	−	0.0467426i	$-0.985116\pi$
$109$	−7.67031	−	10.5573i	−0.734683	−	1.01120i	0.264224	−	0.964461i	$-0.414884\pi$
$110$	3.21449	+	8.74899i	0.306489	+	0.834184i
$111$	−1.51030	+	1.09730i	−0.143351	+	0.104151i
$112$	−0.569842	−	3.59784i	−0.0538450	−	0.339964i
$113$	−14.1556	−	7.21263i	−1.33165	−	0.678507i	−0.364137	−	0.931346i	$-0.618636\pi$
$113$	−14.1556	−	7.21263i	−1.33165	−	0.678507i	−0.967509	+	0.252838i	$0.918636\pi$
$114$	1.38794	+	1.00840i	0.129993	+	0.0944453i
$115$	6.51316	−	2.39302i	0.607355	−	0.223150i
$116$	4.78475	+	1.55466i	0.444253	+	0.144346i
$117$	−5.17082	−	2.63466i	−0.478042	−	0.243575i
$118$	−2.51639	+	2.51639i	−0.231652	+	0.231652i
$119$	4.38405			0.401885
$120$	−0.433324	−	2.19368i	−0.0395569	−	0.200255i
$121$	5.15794	−	3.74746i	0.468903	−	0.340678i
$122$	−15.1827	+	2.40470i	−1.37458	+	0.217712i
$123$	4.68367	+	4.68367i	0.422313	+	0.422313i
$124$	3.22945	+	4.53549i	0.290013	+	0.407299i
$125$	10.4738	+	3.91144i	0.936806	+	0.349850i
$126$	2.94700	+	2.14112i	0.262539	+	0.190746i
$127$	−2.77443	+	17.5170i	−0.246191	+	1.55439i	0.486412	+	0.873729i	$0.338305\pi$
$127$	−2.77443	+	17.5170i	−0.246191	+	1.55439i	−0.732603	+	0.680656i	$0.761695\pi$
$128$	−0.891007	−	0.453990i	−0.0787546	−	0.0401275i
$129$			8.38185i			0.737981i
$130$	1.54235	−	12.8847i	0.135273	−	1.13006i
$131$	2.04851	+	6.30467i	0.178979	+	0.550841i	0.999793	−	0.0203547i	$-0.00647955\pi$
$131$	2.04851	+	6.30467i	0.178979	+	0.550841i	−0.820814	+	0.571196i	$0.806480\pi$
$132$	−3.71407	+	1.89241i	−0.323268	+	0.164714i
$133$	−2.83715	−	5.56823i	−0.246012	−	0.482826i
$134$	−2.98764	+	4.11213i	−0.258093	+	0.355234i
$135$	1.85757	+	1.24476i	0.159874	+	0.107132i
$136$	0.707411	−	0.973668i	0.0606600	−	0.0834914i
$137$	3.34270	−	21.1050i	0.285586	−	1.80312i	−0.260589	−	0.965450i	$-0.583917\pi$
$137$	3.34270	−	21.1050i	0.285586	−	1.80312i	0.546175	−	0.837671i	$-0.316083\pi$
$138$	1.40880	+	2.76493i	0.119925	+	0.235366i
$139$	9.35656	−	6.79794i	0.793613	−	0.576594i	−0.115420	−	0.993317i	$-0.536821\pi$
$139$	9.35656	−	6.79794i	0.793613	−	0.576594i	0.909034	+	0.416723i	$0.136821\pi$
$140$	−2.22137	+	7.83654i	−0.187740	+	0.662309i
$141$	−7.89621	−	2.56563i	−0.664981	−	0.216065i
$142$	−5.79717	−	0.918182i	−0.486488	−	0.0770521i
$143$	−23.8928	+	3.78425i	−1.99802	+	0.316455i
$144$	0.951057	−	0.309017i	0.0792547	−	0.0257514i
$145$	−8.25070	−	7.64721i	−0.685184	−	0.635066i
$146$	−5.62769	−	1.82855i	−0.465751	−	0.151332i
$147$	−2.84615	−	5.58588i	−0.234746	−	0.460716i
$148$	0.847525	−	1.66336i	0.0696661	−	0.136727i
$149$		−	14.5598i		−	1.19279i	−0.802693	−	0.596393i	$-0.796600\pi$
$149$		−	14.5598i		−	1.19279i	0.802693	−	0.596393i	$-0.203400\pi$
$150$	−1.18013	+	4.85873i	−0.0963571	+	0.396714i
$151$	−3.72180	+	1.20929i	−0.302876	+	0.0984103i	−0.456512	−	0.889717i	$-0.650902\pi$
$151$	−3.72180	+	1.20929i	−0.302876	+	0.0984103i	0.153636	+	0.988127i	$0.450902\pi$
$152$	−1.69447	−	0.268378i	−0.137440	−	0.0217683i
$153$	0.188272	+	1.18870i	0.0152209	+	0.0961009i
$154$	15.1842			1.22358
$155$	−2.29580	−	12.2364i	−0.184403	−	0.982851i
$156$	5.80335			0.464640
$157$	0.993499	+	6.27270i	0.0792898	+	0.500616i	0.995089	+	0.0989806i	$0.0315582\pi$
$157$	0.993499	+	6.27270i	0.0792898	+	0.500616i	−0.915800	+	0.401636i	$0.868442\pi$
$158$	−1.78464	−	0.282660i	−0.141979	−	0.0224872i
$159$	−3.86187	+	1.25480i	−0.306266	+	0.0995118i
$160$	1.38200	+	1.75786i	0.109257	+	0.138971i
$161$		−	11.3038i		−	0.890866i
$162$	−0.453990	+	0.891007i	−0.0356689	+	0.0700041i
$163$	5.33190	+	10.4644i	0.417627	+	0.819639i	0.999978	+	0.00670098i	$0.00213300\pi$
$163$	5.33190	+	10.4644i	0.417627	+	0.819639i	−0.582351	+	0.812938i	$0.697867\pi$
$164$	−6.29953	−	2.04684i	−0.491911	−	0.159831i
$165$	9.31412	−	0.353572i	0.725103	−	0.0275255i
$166$	−3.48185	+	1.13132i	−0.270244	+	0.0878076i
$167$	−16.0471	+	2.54161i	−1.24176	+	0.196675i	−0.742541	−	0.669801i	$-0.766380\pi$
$167$	−16.0471	+	2.54161i	−1.24176	+	0.196675i	−0.499219	+	0.866476i	$0.666380\pi$
$168$	−3.59784	−	0.569842i	−0.277579	−	0.0439643i
$169$	19.6667	+	6.39011i	1.51283	+	0.491547i
$170$	−2.34976	+	1.31184i	−0.180219	+	0.100613i
$171$	1.38794	−	1.00840i	0.106139	−	0.0771142i
$172$	−3.80528	−	7.46828i	−0.290150	−	0.569451i
$173$	−3.62414	+	22.8819i	−0.275538	+	1.73968i	0.330105	+	0.943944i	$0.392916\pi$
$173$	−3.62414	+	22.8819i	−0.275538	+	1.73968i	−0.605643	+	0.795736i	$0.707084\pi$
$174$	2.95714	−	4.07015i	0.224180	−	0.308557i
$175$	11.8654	−	13.8182i	0.896941	−	1.04455i
$176$	2.45012	−	3.37231i	0.184685	−	0.254197i
$177$	1.61562	+	3.17083i	0.121437	+	0.238334i
$178$	−9.95777	+	5.07374i	−0.746366	+	0.380293i
$179$	−3.53633	−	10.8837i	−0.264318	−	0.813487i	−0.991850	−	0.127413i	$-0.959333\pi$
$179$	−3.53633	−	10.8837i	−0.264318	−	0.813487i	0.727532	−	0.686074i	$-0.240667\pi$
$180$	−2.22022	−	0.265769i	−0.165485	−	0.0198092i
$181$			14.9842i			1.11376i	0.830592	+	0.556882i	$0.188002\pi$
$181$			14.9842i			1.11376i	−0.830592	+	0.556882i	$0.811998\pi$
$182$	−18.8357	−	9.59726i	−1.39619	−	0.711396i
$183$	−2.40470	+	15.1827i	−0.177761	+	1.12234i
$184$	−2.51050	−	1.82399i	−0.185077	−	0.134466i
$185$	−3.28163	+	2.57997i	−0.241270	+	0.189683i
$186$	5.31146	−	1.66984i	0.389455	−	0.122439i
$187$	3.54738	+	3.54738i	0.259410	+	0.259410i
$188$	8.20035	−	1.29881i	0.598072	−	0.0947253i
$189$	2.94700	−	2.14112i	0.214362	−	0.155743i
$190$	3.18684	+	2.13550i	0.231197	+	0.154925i
$191$	−5.84525			−0.422947			−0.211474	−	0.977384i	$-0.567826\pi$
$191$	−5.84525			−0.422947			−0.211474	+	0.977384i	$0.567826\pi$
$192$	−0.707107	+	0.707107i	−0.0510310	+	0.0510310i
$193$	−8.53338	−	4.34798i	−0.614246	−	0.312974i	0.119045	−	0.992889i	$-0.462017\pi$
$193$	−8.53338	−	4.34798i	−0.614246	−	0.312974i	−0.733291	+	0.679915i	$0.762017\pi$
$194$	4.93937	+	1.60490i	0.354626	+	0.115225i
$195$	−11.7775	−	5.44845i	−0.843401	−	0.390172i
$196$	5.07187	+	3.68493i	0.362277	+	0.263209i
$197$	−21.3147	−	10.8604i	−1.51861	−	0.773770i	−0.521761	−	0.853092i	$-0.674725\pi$
$197$	−21.3147	−	10.8604i	−1.51861	−	0.773770i	−0.996849	+	0.0793213i	$0.974725\pi$
$198$	0.652081	+	4.11708i	0.0463414	+	0.292588i
$199$	13.6125	−	9.89004i	0.964963	−	0.701086i	0.0106646	−	0.999943i	$-0.496605\pi$
$199$	13.6125	−	9.89004i	0.964963	−	0.701086i	0.954298	+	0.298857i	$0.0966053\pi$
$200$	−1.15432	−	4.86493i	−0.0816225	−	0.344003i
$201$	2.98764	+	4.11213i	0.210732	+	0.290048i
$202$	12.1151	+	1.91884i	0.852413	+	0.135009i
$203$	−16.3289	+	8.31996i	−1.14606	+	0.583947i
$204$	−0.707411	−	0.973668i	−0.0495287	−	0.0681704i
$205$	10.8628	+	10.0682i	0.758688	+	0.703193i
$206$	0.443410	+	1.36467i	0.0308938	+	0.0950814i
$207$	3.06495	−	0.485440i	0.213029	−	0.0337404i
$208$	−5.17082	+	2.63466i	−0.358532	+	0.182681i
$209$	2.20987	−	6.80127i	0.152860	−	0.470453i
$210$	6.76656	+	4.53427i	0.466937	+	0.312894i
$211$	−21.8279			−1.50270			−0.751349	−	0.659905i	$-0.770596\pi$
$211$	−21.8279			−1.50270			−0.751349	+	0.659905i	$0.770596\pi$
$212$	2.87128	−	2.87128i	0.197200	−	0.197200i
$213$	−2.66467	+	5.22970i	−0.182580	+	0.358333i
$214$	−0.535997	−	0.737736i	−0.0366400	−	0.0504306i
$215$	0.710965	+	18.7289i	0.0484874	+	1.27730i
$216$		−	1.00000i		−	0.0680414i
$217$	−20.0007	−	3.36406i	−1.35774	−	0.228367i
$218$	9.22740	−	9.22740i	0.624958	−	0.624958i
$219$	−3.47810	+	4.78720i	−0.235028	+	0.323489i
$220$	−8.13842	+	4.54356i	−0.548692	+	0.306326i
$221$	−2.15831	−	6.64260i	−0.145184	−	0.446830i
$222$	−1.32005	−	1.32005i	−0.0885960	−	0.0885960i
$223$	3.14471	+	3.14471i	0.210585	+	0.210585i	0.804516	−	0.593931i	$-0.202425\pi$
$223$	3.14471	+	3.14471i	0.210585	+	0.210585i	−0.593931	+	0.804516i	$0.702425\pi$
$224$	3.46440	−	1.12565i	0.231475	−	0.0752108i
$225$	4.25625	+	2.62380i	0.283750	+	0.174920i
$226$	4.90941	−	15.1096i	0.326569	−	1.00508i
$227$	−1.99405	−	12.5899i	−0.132350	−	0.835623i	−0.961139	−	0.276063i	$-0.910970\pi$
$227$	−1.99405	−	12.5899i	−0.132350	−	0.835623i	0.828790	−	0.559560i	$-0.189030\pi$
$228$	−0.778862	+	1.52860i	−0.0515814	+	0.101234i
$229$	−0.738659	−	0.536667i	−0.0488120	−	0.0354640i	0.563112	−	0.826381i	$-0.309604\pi$
$229$	−0.738659	−	0.536667i	−0.0488120	−	0.0354640i	−0.611924	+	0.790917i	$0.709604\pi$
$230$	3.38244	+	6.05862i	0.223031	+	0.399494i
$231$	4.69217	−	14.4410i	0.308722	−	0.950149i
$232$	−0.787019	+	4.96904i	−0.0516703	+	0.326234i
$233$	4.40138	−	27.7892i	0.288344	−	1.82053i	−0.239158	−	0.970981i	$-0.576872\pi$
$233$	4.40138	−	27.7892i	0.288344	−	1.82053i	0.527503	−	0.849553i	$-0.323128\pi$
$234$	1.79333	−	5.51931i	0.117234	−	0.360809i
$235$	−17.8614	−	5.06303i	−1.16515	−	0.330276i
$236$	−2.87905	−	2.09176i	−0.187410	−	0.136162i
$237$	−0.820310	+	1.60995i	−0.0532849	+	0.104577i
$238$	0.685816	+	4.33007i	0.0444549	+	0.280677i
$239$	−1.57981	+	4.86215i	−0.102189	+	0.314506i	−0.989060	−	0.147511i	$-0.952874\pi$
$239$	−1.57981	+	4.86215i	−0.102189	+	0.314506i	0.886871	+	0.462017i	$0.152874\pi$
$240$	2.09889	−	0.771156i	0.135482	−	0.0497779i
$241$	19.9688	−	6.48827i	1.28631	−	0.417946i	0.415509	−	0.909589i	$-0.363603\pi$
$241$	19.9688	−	6.48827i	1.28631	−	0.417946i	0.870797	+	0.491643i	$0.163603\pi$
$242$	4.50820	+	4.50820i	0.289798	+	0.289798i
$243$	0.707107	+	0.707107i	0.0453609	+	0.0453609i
$244$	−4.75020	−	14.6196i	−0.304100	−	0.935924i
$245$	−6.83340	−	12.2400i	−0.436570	−	0.781985i
$246$	−3.89332	+	5.35870i	−0.248229	+	0.341658i
$247$	−7.04008	+	7.04008i	−0.447949	+	0.447949i
$248$	−3.97445	+	3.89920i	−0.252378	+	0.247599i
$249$			3.66103i			0.232008i
$250$	−2.22482	+	10.9567i	−0.140710	+	0.692965i
$251$	−5.95781	−	8.20022i	−0.376054	−	0.517593i	0.578480	−	0.815697i	$-0.303646\pi$
$251$	−5.95781	−	8.20022i	−0.376054	−	0.517593i	−0.954534	+	0.298103i	$0.903646\pi$
$252$	−1.65375	+	3.24566i	−0.104176	+	0.204457i
$253$	9.14656	−	9.14656i	0.575039	−	0.575039i
$254$	−17.7354			−1.11282
$255$	0.521514	+	2.64014i	0.0326585	+	0.165332i
$256$	0.309017	−	0.951057i	0.0193136	−	0.0594410i
$257$	26.5148	−	13.5100i	1.65395	−	0.842730i	0.657981	−	0.753034i	$-0.271411\pi$
$257$	26.5148	−	13.5100i	1.65395	−	0.842730i	0.995969	−	0.0896955i	$-0.0285894\pi$
$258$	−8.27866	+	1.31121i	−0.515407	+	0.0816324i
$259$	2.10141	+	6.46746i	0.130575	+	0.401869i
$260$	12.9673	−	0.492251i	0.804200	−	0.0305281i
$261$	−2.95714	−	4.07015i	−0.183042	−	0.251936i
$262$	−5.90659	+	3.00956i	−0.364910	+	0.185931i
$263$	0.126922	+	0.0201024i	0.00782632	+	0.00123957i	0.160346	−	0.987061i	$-0.448739\pi$
$263$	0.126922	+	0.0201024i	0.00782632	+	0.00123957i	−0.152520	+	0.988300i	$0.548739\pi$
$264$	−2.45012	−	3.37231i	−0.150795	−	0.207551i
$265$	−8.52275	+	3.13136i	−0.523548	+	0.192358i
$266$	5.05584	−	3.67329i	0.309994	−	0.225224i
$267$	1.74829	+	11.0383i	0.106994	+	0.675531i
$268$	−4.52888	−	2.30758i	−0.276645	−	0.140958i
$269$	−8.14836	−	5.92013i	−0.496814	−	0.360957i	0.310985	−	0.950415i	$-0.399341\pi$
$269$	−8.14836	−	5.92013i	−0.496814	−	0.360957i	−0.807799	+	0.589458i	$0.799341\pi$
$270$	−0.938846	+	2.02943i	−0.0571364	+	0.123507i
$271$	10.9122	+	3.54557i	0.662866	+	0.215378i	0.621079	−	0.783748i	$-0.286695\pi$
$271$	10.9122	+	3.54557i	0.662866	+	0.215378i	0.0417876	+	0.999127i	$0.486695\pi$
$272$	1.07234	+	0.546387i	0.0650204	+	0.0331296i
$273$	−14.9481	+	14.9481i	−0.904699	+	0.904699i
$274$	21.3681			1.29089
$275$	20.7820	−	1.58008i	1.25320	−	0.0952826i
$276$	−2.51050	+	1.82399i	−0.151115	+	0.109791i
$277$	−1.36545	+	0.216266i	−0.0820420	+	0.0129942i	−0.197320	−	0.980339i	$-0.563224\pi$
$277$	−1.36545	+	0.216266i	−0.0820420	+	0.0129942i	0.115278	+	0.993333i	$0.463224\pi$
$278$	8.17794	+	8.17794i	0.490480	+	0.490480i
$279$	0.0532154	−	5.56751i	0.00318593	−	0.333318i
$280$	−8.08756	−	0.968113i	−0.483324	−	0.0578558i
$281$	22.5580	+	16.3893i	1.34570	+	0.977707i	0.999214	+	0.0396508i	$0.0126246\pi$
$281$	22.5580	+	16.3893i	1.34570	+	0.977707i	0.346484	+	0.938056i	$0.387375\pi$
$282$	1.29881	−	8.20035i	0.0773429	−	0.488324i
$283$	−17.9145	−	9.12790i	−1.06491	−	0.542597i	−0.168442	−	0.985712i	$-0.553874\pi$
$283$	−17.9145	−	9.12790i	−1.06491	−	0.542597i	−0.896465	+	0.443114i	$0.853874\pi$
$284$		−	5.86943i		−	0.348287i
$285$	3.01577	−	2.37096i	0.178639	−	0.140443i
$286$	−7.47533	−	23.0067i	−0.442025	−	1.36041i
$287$	21.4983	−	10.9539i	1.26901	−	0.646591i
$288$	0.453990	+	0.891007i	0.0267516	+	0.0525031i
$289$	9.14097	−	12.5815i	0.537704	−	0.740086i
$290$	6.26236	−	9.34541i	0.367739	−	0.548781i
$291$	3.05270	−	4.20167i	0.178952	−	0.246307i
$292$	0.925670	−	5.84445i	0.0541708	−	0.342021i
$293$	−4.16679	−	8.17779i	−0.243427	−	0.477752i	0.736675	−	0.676247i	$-0.236395\pi$
$293$	−4.16679	−	8.17779i	−0.243427	−	0.477752i	−0.980102	+	0.198495i	$0.936395\pi$
$294$	5.07187	−	3.68493i	0.295798	−	0.214910i
$295$	3.87899	+	6.94805i	0.225844	+	0.404531i
$296$	1.77546	+	0.576883i	0.103197	+	0.0335307i
$297$	4.11708	+	0.652081i	0.238897	+	0.0378376i
$298$	14.3805	−	2.27766i	0.833043	−	0.131941i
$299$	−17.1273	+	5.56499i	−0.990495	+	0.321831i
$300$	−4.98353	−	0.405526i	−0.287724	−	0.0234131i
$301$	29.0381	+	9.43505i	1.67373	+	0.543827i
$302$	−1.77662	−	3.48681i	−0.102233	−	0.200643i
$303$	5.56869	−	10.9292i	0.319913	−	0.627864i
$304$		−	1.71559i		−	0.0983959i
$305$	−4.08539	+	34.1291i	−0.233929	+	1.95423i
$306$	−1.14462	+	0.371908i	−0.0654333	+	0.0212606i
$307$	−13.5425	−	2.14493i	−0.772913	−	0.122417i	−0.242494	−	0.970153i	$-0.577965\pi$
$307$	−13.5425	−	2.14493i	−0.772913	−	0.122417i	−0.530419	+	0.847736i	$0.677965\pi$
$308$	2.37533	+	14.9972i	0.135347	+	0.854547i
$309$	1.43490			0.0816288
$310$	11.7266	−	4.18173i	0.666026	−	0.237506i
$311$	15.8231			0.897244			0.448622	−	0.893722i	$-0.351915\pi$
$311$	15.8231			0.897244			0.448622	+	0.893722i	$0.351915\pi$
$312$	0.907843	+	5.73190i	0.0513965	+	0.324505i
$313$	−8.55091	−	1.35433i	−0.483326	−	0.0765513i	−0.0899832	−	0.995943i	$-0.528681\pi$
$313$	−8.55091	−	1.35433i	−0.483326	−	0.0765513i	−0.393343	+	0.919392i	$0.628681\pi$
$314$	−6.04006	+	1.96253i	−0.340860	+	0.110752i
$315$	6.40333	−	5.03421i	0.360787	−	0.283646i
$316$		−	1.80689i		−	0.101645i
$317$	−0.413734	+	0.811998i	−0.0232376	+	0.0456064i	−0.902333	−	0.431039i	$-0.858147\pi$
$317$	−0.413734	+	0.811998i	−0.0232376	+	0.0456064i	0.879096	+	0.476645i	$0.158147\pi$
$318$	−1.84348	−	3.61803i	−0.103377	−	0.202889i
$319$	−19.9447	−	6.48044i	−1.11669	−	0.362835i
$320$	−1.52002	+	1.63998i	−0.0849719	+	0.0916776i
$321$	−0.867261	+	0.281790i	−0.0484058	+	0.0157280i
$322$	11.1646	−	1.76831i	0.622182	−	0.0985439i
$323$	2.03933	+	0.322998i	0.113471	+	0.0179721i
$324$	−0.951057	−	0.309017i	−0.0528365	−	0.0171676i
$325$	−26.7784	−	11.1753i	−1.48540	−	0.619897i
$326$	−9.50152	+	6.90326i	−0.526240	+	0.382336i
$327$	−5.92435	−	11.6272i	−0.327618	−	0.642986i
$328$	1.03618	−	6.54217i	0.0572133	−	0.361231i
$329$	−17.7768	+	24.4676i	−0.980065	+	1.34894i
$330$	1.80627	+	9.14413i	0.0994318	+	0.503368i
$331$	3.99451	−	5.49797i	0.219558	−	0.302196i	−0.685003	−	0.728540i	$-0.740199\pi$
$331$	3.99451	−	5.49797i	0.219558	−	0.302196i	0.904561	+	0.426345i	$0.140199\pi$
$332$	−1.66207	−	3.26200i	−0.0912182	−	0.179026i
$333$	−1.66336	+	0.847525i	−0.0911516	+	0.0464441i
$334$	−5.02063	−	15.4519i	−0.274717	−	0.845491i
$335$	7.02456	+	8.93498i	0.383793	+	0.488170i
$336$		−	3.64269i		−	0.198725i
$337$	−30.6190	−	15.6012i	−1.66793	−	0.849851i	−0.993794	−	0.111240i	$-0.964518\pi$
$337$	−30.6190	−	15.6012i	−1.66793	−	0.849851i	−0.674132	−	0.738611i	$-0.735482\pi$
$338$	−3.23488	+	20.4242i	−0.175954	+	1.11093i
$339$	−12.8530	−	9.33825i	−0.698079	−	0.507184i
$340$	−1.66327	−	2.11562i	−0.0902035	−	0.114735i
$341$	−13.4616	−	18.9057i	−0.728988	−	1.02380i
$342$	1.21311	+	1.21311i	0.0655973	+	0.0655973i
$343$	2.62938	−	0.416453i	0.141973	−	0.0224863i
$344$	6.78106	−	4.92673i	0.365610	−	0.265631i
$345$	6.80732	−	1.34467i	0.366494	−	0.0723946i
$346$	−23.1672			−1.24547
$347$	−6.35028	+	6.35028i	−0.340901	+	0.340901i	−0.856706	−	0.515805i	$-0.827493\pi$
$347$	−6.35028	+	6.35028i	−0.340901	+	0.340901i	0.515805	+	0.856706i	$0.327493\pi$
$348$	4.48264	+	2.28402i	0.240295	+	0.122436i
$349$	−26.2481	−	8.52853i	−1.40503	−	0.456521i	−0.494215	−	0.869340i	$-0.664545\pi$
$349$	−26.2481	−	8.52853i	−1.40503	−	0.456521i	−0.910813	+	0.412818i	$0.864545\pi$
$350$	15.5042	+	9.55769i	0.828734	+	0.510880i
$351$	−4.69501	−	3.41112i	−0.250601	−	0.182072i
$352$	3.71407	+	1.89241i	0.197961	+	0.100866i
$353$	4.50359	+	28.4346i	0.239702	+	1.51342i	0.754610	+	0.656174i	$0.227826\pi$
$353$	4.50359	+	28.4346i	0.239702	+	1.51342i	−0.514908	+	0.857246i	$0.672174\pi$
$354$	−2.87905	+	2.09176i	−0.153020	+	0.111176i
$355$	−5.51050	+	11.9116i	−0.292467	+	0.632201i
$356$	−6.56901	−	9.04147i	−0.348157	−	0.479197i
$357$	4.33007	+	0.685816i	0.229172	+	0.0362973i
$358$	10.1965	−	5.19538i	0.538902	−	0.274584i
$359$	5.20791	+	7.16807i	0.274863	+	0.378316i	0.924024	−	0.382335i	$-0.124880\pi$
$359$	5.20791	+	7.16807i	0.274863	+	0.378316i	−0.649161	+	0.760651i	$0.724880\pi$
$360$	−0.0848219	−	2.23446i	−0.00447051	−	0.117766i
$361$	4.96181	+	15.2709i	0.261148	+	0.803730i
$362$	−14.7997	+	2.34404i	−0.777854	+	0.123200i
$363$	5.68067	−	2.89444i	0.298158	−	0.151919i
$364$	6.53255	−	20.1051i	0.342399	−	1.05380i
$365$	−7.36562	+	10.9918i	−0.385534	+	0.575338i
$366$	−15.3720			−0.803505
$367$	−10.6388	+	10.6388i	−0.555339	+	0.555339i	−0.927977	−	0.372638i	$-0.878453\pi$
$367$	−10.6388	+	10.6388i	−0.555339	+	0.555339i	0.372638	+	0.927977i	$0.378453\pi$
$368$	1.40880	−	2.76493i	0.0734389	−	0.144132i
$369$	3.89332	+	5.35870i	0.202678	+	0.278963i
$370$	−3.06157	−	2.83763i	−0.159163	−	0.147521i
$371$			14.7915i			0.767938i
$372$	2.48018	+	4.98485i	0.128591	+	0.258452i
$373$	−8.97639	+	8.97639i	−0.464780	+	0.464780i	−0.900218	−	0.435439i	$-0.856593\pi$
$373$	−8.97639	+	8.97639i	−0.464780	+	0.464780i	0.435439	+	0.900218i	$0.356593\pi$
$374$	−2.94877	+	4.05864i	−0.152477	+	0.209867i
$375$	9.73297	+	5.50175i	0.502609	+	0.284109i
$376$	2.56563	+	7.89621i	0.132312	+	0.407216i
$377$	20.6451	+	20.6451i	1.06327	+	1.06327i
$378$	2.57577	+	2.57577i	0.132483	+	0.132483i
$379$	−19.5488	+	6.35180i	−1.00416	+	0.326270i	−0.764525	−	0.644594i	$-0.777026\pi$
$379$	−19.5488	+	6.35180i	−1.00416	+	0.326270i	−0.239631	+	0.970864i	$0.577026\pi$
$380$	−1.61068	+	3.48167i	−0.0826260	+	0.178606i
$381$	−5.48054	+	16.8674i	−0.280776	+	0.864141i
$382$	−0.914398	−	5.77328i	−0.0467847	−	0.295387i
$383$	12.0948	−	23.7375i	0.618018	−	1.21293i	−0.343750	−	0.939061i	$-0.611697\pi$
$383$	12.0948	−	23.7375i	0.618018	−	1.21293i	0.961768	−	0.273867i	$-0.0883027\pi$
$384$	−0.809017	−	0.587785i	−0.0412850	−	0.0299953i
$385$	9.25955	−	32.6659i	0.471910	−	1.66481i
$386$	2.95953	−	9.10850i	0.150636	−	0.463610i
$387$	−1.31121	+	8.27866i	−0.0666526	+	0.420828i
$388$	−0.812451	+	5.12961i	−0.0412460	+	0.260417i
$389$	−7.43904	+	22.8950i	−0.377175	+	1.16082i	0.564825	+	0.825211i	$0.308944\pi$
$389$	−7.43904	+	22.8950i	−0.377175	+	1.16082i	−0.942000	+	0.335613i	$0.891056\pi$
$390$	3.53897	−	12.4848i	0.179203	−	0.632192i
$391$	3.02144	+	2.19521i	0.152801	+	0.111016i
$392$	−2.84615	+	5.58588i	−0.143752	+	0.282129i
$393$	1.03702	+	6.54751i	0.0523109	+	0.330278i
$394$	7.39232	−	22.7512i	0.372420	−	1.14619i
$395$	−1.69639	+	3.66695i	−0.0853547	+	0.184504i
$396$	−3.96438	+	1.28811i	−0.199218	+	0.0647298i
$397$	18.8805	+	18.8805i	0.947583	+	0.947583i	0.998693	−	0.0511096i	$-0.0162758\pi$
$397$	18.8805	+	18.8805i	0.947583	+	0.947583i	−0.0511096	+	0.998693i	$0.516276\pi$
$398$	11.8977	+	11.8977i	0.596380	+	0.596380i
$399$	−1.93116	−	5.94350i	−0.0966789	−	0.297547i
$400$	4.62446	−	1.90115i	0.231223	−	0.0950574i
$401$	−2.12320	+	2.92234i	−0.106028	+	0.145935i	−0.858734	−	0.512422i	$-0.828748\pi$
$401$	−2.12320	+	2.92234i	−0.106028	+	0.145935i	0.752706	+	0.658357i	$0.228748\pi$
$402$	−3.59414	+	3.59414i	−0.179259	+	0.179259i
$403$	4.74940	+	31.9607i	0.236585	+	1.59208i
$404$			12.2661i			0.610260i
$405$	1.63998	+	1.52002i	0.0814912	+	0.0755305i
$406$	−10.7719	−	14.8263i	−0.534602	−	0.735816i
$407$	−3.53282	+	6.93355i	−0.175116	+	0.343684i
$408$	0.851017	−	0.851017i	0.0421316	−	0.0421316i
$409$	4.64064			0.229465			0.114732	−	0.993396i	$-0.463399\pi$
$409$	4.64064			0.229465			0.114732	+	0.993396i	$0.463399\pi$
$410$	−8.24493	+	12.3040i	−0.407188	+	0.607653i
$411$	6.60309	−	20.3222i	0.325707	−	1.00242i
$412$	−1.27851	+	0.651433i	−0.0629876	+	0.0320938i
$413$	12.8037	−	2.02790i	0.630027	−	0.0997865i
$414$	0.958927	+	2.95127i	0.0471287	+	0.145047i
$415$	0.310536	+	8.18042i	0.0152436	+	0.401561i
$416$	−3.41112	−	4.69501i	−0.167244	−	0.230192i
$417$	10.3048	−	5.25056i	0.504628	−	0.257121i
$418$	7.06323	+	1.11871i	0.345474	+	0.0547177i
$419$	21.7829	+	29.9816i	1.06417	+	1.46470i	0.875846	+	0.482591i	$0.160304\pi$
$419$	21.7829	+	29.9816i	1.06417	+	1.46470i	0.188320	+	0.982108i	$0.439696\pi$
$420$	−3.41992	+	7.39256i	−0.166875	+	0.360720i
$421$	17.0292	−	12.3724i	0.829953	−	0.602996i	−0.0895933	−	0.995978i	$-0.528557\pi$
$421$	17.0292	−	12.3724i	0.829953	−	0.602996i	0.919546	+	0.392983i	$0.128557\pi$
$422$	−3.41464	−	21.5592i	−0.166222	−	1.04949i
$423$	−7.39764	−	3.76929i	−0.359686	−	0.183269i
$424$	3.28510	+	2.38676i	0.159539	+	0.115912i
$425$	1.38924	+	5.85504i	0.0673882	+	0.284011i
$426$	−5.58216	−	1.81376i	−0.270457	−	0.0878767i
$427$	49.8922	+	25.4213i	2.41445	+	1.23022i
$428$	0.644805	−	0.644805i	0.0311678	−	0.0311678i
$429$	−24.1907			−1.16794
$430$	−18.3871	+	3.63206i	−0.886705	+	0.175153i
$431$	18.0962	−	13.1476i	0.871661	−	0.633299i	−0.0593711	−	0.998236i	$-0.518910\pi$
$431$	18.0962	−	13.1476i	0.871661	−	0.633299i	0.931032	+	0.364937i	$0.118910\pi$
$432$	0.987688	−	0.156434i	0.0475202	−	0.00752646i
$433$	−25.8166	−	25.8166i	−1.24066	−	1.24066i	−0.959726	−	0.280939i	$-0.909354\pi$
$433$	−25.8166	−	25.8166i	−1.24066	−	1.24066i	−0.280939	−	0.959726i	$-0.590646\pi$
$434$	0.193847	−	20.2807i	0.00930497	−	0.973505i
$435$	−6.95284	−	8.84375i	−0.333363	−	0.424025i
$436$	10.5573	+	7.67031i	0.505602	+	0.367341i
$437$	0.832817	−	5.25820i	0.0398390	−	0.251534i
$438$	−5.27236	−	2.68640i	−0.251923	−	0.128361i
$439$			41.2110i			1.96689i	0.181197	+	0.983447i	$0.442003\pi$
$439$			41.2110i			1.96689i	−0.181197	+	0.983447i	$0.557997\pi$
$440$	−5.76075	−	7.32746i	−0.274633	−	0.349323i
$441$	−1.93728	−	5.96234i	−0.0922516	−	0.283921i
$442$	6.22319	−	3.17087i	0.296007	−	0.150823i
$443$	5.09431	+	9.99815i	0.242038	+	0.475026i	0.979786	−	0.200050i	$-0.0641105\pi$
$443$	5.09431	+	9.99815i	0.242038	+	0.475026i	−0.737748	+	0.675077i	$0.764111\pi$
$444$	1.09730	−	1.51030i	0.0520754	−	0.0716757i
$445$	4.84277	+	24.5163i	0.229569	+	1.16218i
$446$	−2.61405	+	3.59793i	−0.123779	+	0.170367i
$447$	2.27766	−	14.3805i	0.107729	−	0.680177i
$448$	1.65375	+	3.24566i	0.0781321	+	0.153343i
$449$	19.5666	−	14.2160i	0.923406	−	0.670894i	−0.0209633	−	0.999780i	$-0.506673\pi$
$449$	19.5666	−	14.2160i	0.923406	−	0.670894i	0.944369	+	0.328886i	$0.106673\pi$
$450$	−1.92567	+	4.61430i	−0.0907771	+	0.217520i
$451$	26.2590	+	8.53205i	1.23649	+	0.401759i
$452$	15.6916	+	2.48530i	0.738070	+	0.116899i
$453$	−3.86515	+	0.612180i	−0.181601	+	0.0287627i
$454$	12.1230	−	3.93900i	0.568960	−	0.184866i
$455$	−32.1329	+	34.6688i	−1.50642	+	1.62530i
$456$	−1.63162	−	0.530147i	−0.0764078	−	0.0248264i
$457$	−5.19301	−	10.1919i	−0.242919	−	0.476755i	0.737068	−	0.675819i	$-0.236210\pi$
$457$	−5.19301	−	10.1919i	−0.242919	−	0.476755i	−0.979987	+	0.199064i	$0.936210\pi$
$458$	0.414508	−	0.813518i	0.0193687	−	0.0380132i
$459$			1.20352i			0.0561755i
$460$	−5.45490	+	4.28857i	−0.254336	+	0.199956i
$461$	19.7956	−	6.43197i	0.921972	−	0.299567i	0.190696	−	0.981649i	$-0.438925\pi$
$461$	19.7956	−	6.43197i	0.921972	−	0.299567i	0.731275	+	0.682082i	$0.238925\pi$
$462$	14.9972	+	2.37533i	0.697735	+	0.110510i
$463$	3.07598	+	19.4210i	0.142953	+	0.902569i	0.950038	+	0.312134i	$0.101044\pi$
$463$	3.07598	+	19.4210i	0.142953	+	0.902569i	−0.807085	+	0.590435i	$0.798956\pi$
$464$	−5.03098			−0.233557
$465$	−0.353339	−	12.4449i	−0.0163857	−	0.577118i
$466$	28.1356			1.30336
$467$	−2.05287	−	12.9613i	−0.0949954	−	0.599777i	−0.988558	−	0.150839i	$-0.951802\pi$
$467$	−2.05287	−	12.9613i	−0.0949954	−	0.599777i	0.893563	−	0.448938i	$-0.148198\pi$
$468$	5.73190	+	0.907843i	0.264957	+	0.0419651i
$469$	17.6091	−	5.72155i	0.813114	−	0.264197i
$470$	2.20656	−	18.4335i	0.101781	−	0.850274i
$471$			6.35089i			0.292634i
$472$	1.61562	−	3.17083i	0.0743649	−	0.145949i
$473$	15.8619	+	31.1308i	0.729333	+	1.43140i
$474$	−1.71845	−	0.558359i	−0.0789312	−	0.0256463i
$475$	6.53750	−	5.55360i	0.299961	−	0.254817i
$476$	−4.16948	+	1.35475i	−0.191108	+	0.0620947i
$477$	−4.01061	+	0.635219i	−0.183633	+	0.0290847i
$478$	−5.04942	−	0.799750i	−0.230955	−	0.0365797i
$479$	−10.7818	−	3.50322i	−0.492633	−	0.160066i	0.0521567	−	0.998639i	$-0.483390\pi$
$479$	−10.7818	−	3.50322i	−0.492633	−	0.160066i	−0.544790	+	0.838573i	$0.683390\pi$
$480$	1.09000	+	1.95241i	0.0497515	+	0.0891149i
$481$	8.76480	−	6.36800i	0.399640	−	0.290356i
$482$	9.53220	+	18.7080i	0.434180	+	0.852126i
$483$	1.76831	−	11.1646i	0.0804607	−	0.508009i
$484$	−3.74746	+	5.15794i	−0.170339	+	0.234452i
$485$	6.46473	−	9.64740i	0.293548	−	0.438066i
$486$	−0.587785	+	0.809017i	−0.0266625	+	0.0366978i
$487$	−5.24592	−	10.2957i	−0.237715	−	0.466543i	0.741071	−	0.671427i	$-0.234318\pi$
$487$	−5.24592	−	10.2957i	−0.237715	−	0.466543i	−0.978786	+	0.204884i	$0.934318\pi$
$488$	13.6965	−	6.97873i	0.620012	−	0.315912i
$489$	3.62926	+	11.1697i	0.164121	+	0.505111i
$490$	11.0203	−	8.66403i	0.497848	−	0.391401i
$491$			9.03639i			0.407807i	0.978991	+	0.203903i	$0.0653628\pi$
$491$			9.03639i			0.407807i	−0.978991	+	0.203903i	$0.934637\pi$
$492$	−5.90177	−	3.00710i	−0.266073	−	0.135571i
$493$	0.947193	−	5.98034i	0.0426594	−	0.269341i
$494$	−8.05471	−	5.85209i	−0.362399	−	0.263298i
$495$	9.25476	+	1.10783i	0.415970	+	0.0497933i
$496$	−4.47293	−	3.31555i	−0.200841	−	0.148873i
$497$	15.1183	+	15.1183i	0.678149	+	0.678149i
$498$	−3.61596	+	0.572712i	−0.162035	+	0.0256638i
$499$	19.4651	−	14.1422i	0.871379	−	0.633094i	−0.0595776	−	0.998224i	$-0.518975\pi$
$499$	19.4651	−	14.1422i	0.871379	−	0.633094i	0.930957	+	0.365130i	$0.118975\pi$
$500$	−11.1699	−	0.483419i	−0.499532	−	0.0216192i
$501$	−16.2471			−0.725867
$502$	7.16726	−	7.16726i	0.319890	−	0.319890i
$503$	−1.62225	−	0.826577i	−0.0723325	−	0.0368553i	0.417450	−	0.908700i	$-0.362924\pi$
$503$	−1.62225	−	0.826577i	−0.0723325	−	0.0368553i	−0.489783	+	0.871845i	$0.662924\pi$
$504$	−3.46440	−	1.12565i	−0.154317	−	0.0501406i
$505$	11.5160	−	24.8931i	0.512454	−	1.10773i
$506$	10.4648	+	7.60311i	0.465216	+	0.337999i
$507$	18.4250	+	9.38799i	0.818282	+	0.416935i
$508$	−2.77443	−	17.5170i	−0.123095	−	0.777193i
$509$	23.3514	−	16.9658i	1.03503	−	0.751996i	0.0657239	−	0.997838i	$-0.479064\pi$
$509$	23.3514	−	16.9658i	1.03503	−	0.751996i	0.969310	+	0.245842i	$0.0790644\pi$
$510$	−2.52605	+	0.928102i	−0.111855	+	0.0410970i
$511$	12.6696	+	17.4383i	0.560472	+	0.771424i
$512$	0.987688	+	0.156434i	0.0436501	+	0.00691349i
$513$	1.52860	−	0.778862i	0.0674895	−	0.0343876i
$514$	17.4915	+	24.0750i	0.771517	+	1.06190i
$515$	3.20623	−	0.121711i	0.141284	−	0.00536324i
$516$	−2.59013	−	7.97161i	−0.114024	−	0.350931i
$517$	−34.1823	+	5.41395i	−1.50334	+	0.238105i
$518$	−6.05911	+	3.08727i	−0.266222	+	0.135647i
$519$	−7.15904	+	22.0333i	−0.314247	+	0.967153i
$520$	2.51473	+	12.7307i	0.110278	+	0.558277i
$521$	15.6998			0.687820			0.343910	−	0.939003i	$-0.388248\pi$
$521$	15.6998			0.687820			0.343910	+	0.939003i	$0.388248\pi$
$522$	3.55744	−	3.55744i	0.155705	−	0.155705i
$523$	−19.8597	+	38.9769i	−0.868404	+	1.70434i	−0.174010	+	0.984744i	$0.555672\pi$
$523$	−19.8597	+	38.9769i	−0.868404	+	1.70434i	−0.694394	+	0.719595i	$0.744328\pi$
$524$	−3.89650	−	5.36307i	−0.170219	−	0.234287i
$525$	13.8810	−	11.7919i	0.605815	−	0.514640i
$526$			0.128504i			0.00560303i
$527$	4.78333	−	4.69276i	0.208365	−	0.204420i
$528$	2.94750	−	2.94750i	0.128274	−	0.128274i
$529$	−7.85895	+	10.8169i	−0.341693	+	0.470301i
$530$	−4.42606	−	7.92796i	−0.192256	−	0.344369i
$531$	1.09970	+	3.38453i	0.0477230	+	0.146876i
$532$	4.41897	+	4.41897i	0.191587	+	0.191587i
$533$	−27.1810	−	27.1810i	−1.17734	−	1.17734i
$534$	−10.6289	+	3.45353i	−0.459957	+	0.149449i
$535$	−1.91396	+	0.703211i	−0.0827475	+	0.0304025i
$536$	1.57070	−	4.83410i	0.0678437	−	0.208802i
$537$	−1.79021	−	11.3029i	−0.0772531	−	0.487757i
$538$	4.57256	−	8.97415i	0.197137	−	0.386903i
$539$	−21.1416	−	15.3603i	−0.910633	−	0.661613i
$540$	−2.15131	−	0.609815i	−0.0925775	−	0.0262423i
$541$	6.88883	−	21.2016i	0.296174	−	0.911530i	−0.686650	−	0.726988i	$-0.740920\pi$
$541$	6.88883	−	21.2016i	0.296174	−	0.911530i	0.982825	−	0.184542i	$-0.0590803\pi$
$542$	−1.79489	+	11.3325i	−0.0770969	+	0.486771i
$543$	−2.34404	+	14.7997i	−0.100592	+	0.635115i
$544$	−0.371908	+	1.14462i	−0.0159454	+	0.0490750i
$545$	−14.2240	−	25.4780i	−0.609288	−	1.09136i
$546$	−17.1024	−	12.4257i	−0.731917	−	0.531769i
$547$	−20.2420	+	39.7272i	−0.865486	+	1.69861i	−0.163352	+	0.986568i	$0.552231\pi$
$547$	−20.2420	+	39.7272i	−0.865486	+	1.69861i	−0.702134	+	0.712045i	$0.747769\pi$
$548$	3.34270	+	21.1050i	0.142793	+	0.901560i
$549$	−4.75020	+	14.6196i	−0.202734	+	0.623950i
$550$	4.81165	+	20.2790i	0.205170	+	0.864699i
$551$	−8.20867	+	2.66716i	−0.349701	+	0.113625i
$552$	−2.19426	−	2.19426i	−0.0933939	−	0.0933939i
$553$	4.65413	+	4.65413i	0.197914	+	0.197914i
$554$	−0.427207	−	1.31481i	−0.0181503	−	0.0558609i
$555$	−3.64482	+	2.03485i	−0.154714	+	0.0863745i
$556$	−6.79794	+	9.35656i	−0.288297	+	0.396807i
$557$	−11.5840	+	11.5840i	−0.490829	+	0.490829i	−0.908567	−	0.417738i	$-0.862823\pi$
$557$	−11.5840	+	11.5840i	−0.490829	+	0.490829i	0.417738	+	0.908567i	$0.362823\pi$
$558$	5.50729	−	0.818390i	0.233142	−	0.0346452i
$559$		−	48.6428i		−	2.05737i
$560$	−0.308980	−	8.13944i	−0.0130568	−	0.343954i
$561$	2.94877	+	4.05864i	0.124497	+	0.171356i
$562$	−12.6587	+	24.8441i	−0.533976	+	1.04799i
$563$	21.7149	−	21.7149i	0.915176	−	0.915176i	−0.0814977	−	0.996674i	$-0.525970\pi$
$563$	21.7149	−	21.7149i	0.915176	−	0.915176i	0.996674	+	0.0814977i	$0.0259703\pi$
$564$	8.30257			0.349601
$565$	−29.5116	−	19.7757i	−1.24156	−	0.831971i
$566$	6.21307	−	19.1219i	0.261155	−	0.803752i
$567$	3.24566	−	1.65375i	0.136305	−	0.0694508i
$568$	5.79717	−	0.918182i	0.243244	−	0.0385261i
$569$	3.73730	+	11.5022i	0.156676	+	0.482198i	0.998327	−	0.0578235i	$-0.0184161\pi$
$569$	3.73730	+	11.5022i	0.156676	+	0.482198i	−0.841651	+	0.540022i	$0.818416\pi$
$570$	2.81353	+	2.60774i	0.117846	+	0.109226i
$571$	13.7566	+	18.9343i	0.575696	+	0.792377i	0.993215	−	0.116291i	$-0.0371005\pi$
$571$	13.7566	+	18.9343i	0.575696	+	0.792377i	−0.417520	+	0.908668i	$0.637101\pi$
$572$	21.5540	−	10.9823i	0.901220	−	0.459194i
$573$	−5.77328	−	0.914398i	−0.241182	−	0.0381995i
$574$	14.1822	+	19.5201i	0.591952	+	0.814752i
$575$	15.0966	−	3.58202i	0.629573	−	0.149381i
$576$	−0.809017	+	0.587785i	−0.0337090	+	0.0244911i
$577$	−5.58446	−	35.2589i	−0.232484	−	1.46785i	−0.777215	−	0.629236i	$-0.783368\pi$
$577$	−5.58446	−	35.2589i	−0.232484	−	1.46785i	0.544731	−	0.838611i	$-0.316632\pi$
$578$	13.8565	+	7.06025i	0.576355	+	0.293668i
$579$	−7.74815	−	5.62936i	−0.322002	−	0.233948i
$580$	10.2100	+	4.72332i	0.423947	+	0.196125i
$581$	12.6833	+	4.12105i	0.526191	+	0.170970i
$582$	4.62749	+	2.35782i	0.191816	+	0.0977350i
$583$	−11.9687	+	11.9687i	−0.495691	+	0.495691i
$584$	5.91730			0.244860
$585$	−10.7801	−	7.22377i	−0.445704	−	0.298666i
$586$	7.42528	−	5.39478i	0.306736	−	0.222856i
$587$	41.6233	−	6.59249i	1.71798	−	0.272101i	0.781775	−	0.623560i	$-0.214314\pi$
$587$	41.6233	−	6.59249i	1.71798	−	0.272101i	0.936203	+	0.351459i	$0.114314\pi$
$588$	4.43298	+	4.43298i	0.182813	+	0.182813i
$589$	−9.05588	−	3.03843i	−0.373141	−	0.125196i
$590$	−6.25570	+	4.91815i	−0.257543	+	0.202477i
$591$	−19.3533	−	14.0610i	−0.796090	−	0.578394i
$592$	−0.292037	+	1.84385i	−0.0120027	+	0.0757818i
$593$	−22.9278	−	11.6823i	−0.941531	−	0.479734i	−0.0853159	−	0.996354i	$-0.527190\pi$
$593$	−22.9278	−	11.6823i	−0.941531	−	0.479734i	−0.856215	+	0.516620i	$0.827190\pi$
$594$			4.16840i			0.171032i
$595$	9.73354	+	1.16514i	0.399036	+	0.0477662i
$596$	4.49923	+	13.8472i	0.184296	+	0.567203i
$597$	14.9920	−	7.63882i	0.613583	−	0.312636i
$598$	−8.17577	−	16.0458i	−0.334332	−	0.656163i
$599$	−5.04569	+	6.94479i	−0.206161	+	0.283756i	−0.899560	−	0.436798i	$-0.856113\pi$
$599$	−5.04569	+	6.94479i	−0.206161	+	0.283756i	0.693399	+	0.720554i	$0.256113\pi$
$600$	−0.379062	−	4.98561i	−0.0154751	−	0.203537i
$601$	−8.35291	+	11.4968i	−0.340722	+	0.468964i	−0.944652	−	0.328073i	$-0.893601\pi$
$601$	−8.35291	+	11.4968i	−0.340722	+	0.468964i	0.603930	+	0.797037i	$0.293601\pi$
$602$	−4.77633	+	30.1566i	−0.194669	+	1.22909i
$603$	2.30758	+	4.52888i	0.0939719	+	0.184430i
$604$	3.16595	−	2.30020i	0.128821	−	0.0935938i
$605$	12.4477	−	6.94936i	0.506071	−	0.282532i
$606$	11.6657	+	3.79043i	0.473888	+	0.153976i
$607$	17.2316	+	2.72922i	0.699409	+	0.110776i	0.496005	−	0.868319i	$-0.334800\pi$
$607$	17.2316	+	2.72922i	0.699409	+	0.110776i	0.203404	+	0.979095i	$0.434800\pi$
$608$	1.69447	−	0.268378i	0.0687198	−	0.0108842i
$609$	−17.4293	+	5.66314i	−0.706273	+	0.229482i
$610$	−34.3480	+	1.30388i	−1.39071	+	0.0527925i
$611$	45.8244	+	14.8893i	1.85386	+	0.602355i
$612$	−0.546387	−	1.07234i	−0.0220864	−	0.0433470i
$613$	11.2345	−	22.0490i	0.453759	−	0.890552i	−0.544886	−	0.838510i	$-0.683427\pi$
$613$	11.2345	−	22.0490i	0.453759	−	0.890552i	0.998645	−	0.0520421i	$-0.0165730\pi$
$614$		−	13.7113i		−	0.553345i
$615$	9.15400	+	11.6436i	0.369125	+	0.469513i
$616$	−14.4410	+	4.69217i	−0.581845	+	0.189053i
$617$	−24.1252	−	3.82106i	−0.971246	−	0.153830i	−0.349403	−	0.936973i	$-0.613616\pi$
$617$	−24.1252	−	3.82106i	−0.971246	−	0.153830i	−0.621843	+	0.783142i	$0.713616\pi$
$618$	0.224468	+	1.41724i	0.00902945	+	0.0570097i
$619$	20.5172			0.824656			0.412328	−	0.911036i	$-0.364716\pi$
$619$	20.5172			0.824656			0.412328	+	0.911036i	$0.364716\pi$
$620$	5.96469	+	10.9281i	0.239548	+	0.438881i
$621$	3.10315			0.124525
$622$	2.47527	+	15.6283i	0.0992494	+	0.626636i
$623$	40.2090	+	6.36848i	1.61094	+	0.255148i
$624$	−5.51931	+	1.79333i	−0.220949	+	0.0717908i
$625$	22.2146	+	11.4679i	0.888584	+	0.458715i
$626$		−	8.65749i		−	0.346023i
$627$	3.24661	−	6.37183i	0.129657	−	0.254466i
$628$	−2.88325	−	5.65869i	−0.115054	−	0.225806i
$629$	−2.13681	−	0.694291i	−0.0852001	−	0.0276832i
$630$	5.97393	+	5.53697i	0.238007	+	0.220598i
$631$	−14.3627	+	4.66672i	−0.571770	+	0.185779i	−0.580610	−	0.814182i	$-0.697186\pi$
$631$	−14.3627	+	4.66672i	−0.571770	+	0.185779i	0.00884043	+	0.999961i	$0.497186\pi$
$632$	1.78464	−	0.282660i	0.0709893	−	0.0112436i
$633$	−21.5592	−	3.41464i	−0.856901	−	0.135720i
$634$	−0.866723	−	0.281615i	−0.0344220	−	0.0111844i
$635$	−10.8153	+	38.1543i	−0.429193	+	1.51411i
$636$	3.28510	−	2.38676i	0.130263	−	0.0946414i
$637$	16.5172	+	32.4168i	0.654434	+	1.28440i
$638$	3.28061	−	20.7130i	0.129881	−	0.820034i
$639$	−3.44997	+	4.74847i	−0.136479	+	0.187847i
$640$	−1.85757	−	1.24476i	−0.0734270	−	0.0492034i
$641$	−29.4574	+	40.5446i	−1.16350	+	1.60141i	−0.466093	+	0.884736i	$0.654339\pi$
$641$	−29.4574	+	40.5446i	−1.16350	+	1.60141i	−0.697403	+	0.716679i	$0.745661\pi$
$642$	−0.413990	−	0.812501i	−0.0163389	−	0.0320669i
$643$	−24.6859	+	12.5781i	−0.973516	+	0.496031i	−0.867015	−	0.498281i	$-0.833965\pi$
$643$	−24.6859	+	12.5781i	−0.973516	+	0.496031i	−0.106501	+	0.994313i	$0.533965\pi$
$644$	3.49307	+	10.7506i	0.137646	+	0.423632i
$645$	−2.22763	+	18.6095i	−0.0877130	+	0.732750i
$646$			2.06475i			0.0812365i
$647$	−15.0791	−	7.68317i	−0.592820	−	0.302057i	0.131723	−	0.991287i	$-0.457949\pi$
$647$	−15.0791	−	7.68317i	−0.592820	−	0.302057i	−0.724543	+	0.689230i	$0.757949\pi$
$648$	0.156434	−	0.987688i	0.00614533	−	0.0388001i
$649$	12.0011	+	8.71927i	0.471082	+	0.342261i
$650$	6.84870	−	28.1969i	0.268628	−	1.10597i
$651$	−19.2282	−	6.45144i	−0.753612	−	0.252852i
$652$	−8.30463	−	8.30463i	−0.325234	−	0.325234i
$653$	6.25979	−	0.991454i	0.244965	−	0.0387986i	−0.0327446	−	0.999464i	$-0.510425\pi$
$653$	6.25979	−	0.991454i	0.244965	−	0.0387986i	0.277709	+	0.960665i	$0.410425\pi$
$654$	10.5573	−	7.67031i	0.412822	−	0.299933i
$655$	2.87256	+	14.5422i	0.112240	+	0.568209i
$656$	6.62372			0.258613
$657$	−4.18417	+	4.18417i	−0.163240	+	0.163240i
$658$	−26.9473	−	13.7303i	−1.05052	−	0.535264i
$659$	−8.65265	−	2.81142i	−0.337060	−	0.109517i	0.135597	−	0.990764i	$-0.456705\pi$
$659$	−8.65265	−	2.81142i	−0.337060	−	0.109517i	−0.472656	+	0.881247i	$0.656705\pi$
$660$	−8.74899	+	3.21449i	−0.340554	+	0.125124i
$661$	−15.3643	−	11.1628i	−0.597600	−	0.434182i	0.247426	−	0.968907i	$-0.420415\pi$
$661$	−15.3643	−	11.1628i	−0.597600	−	0.434182i	−0.845026	+	0.534725i	$0.820415\pi$
$662$	6.05516	+	3.08526i	0.235340	+	0.119912i
$663$	−1.09261	−	6.89845i	−0.0424334	−	0.267914i
$664$	2.96184	−	2.15190i	0.114942	−	0.0835099i
$665$	−4.81924	−	13.1167i	−0.186882	−	0.508644i
$666$	−1.09730	−	1.51030i	−0.0425194	−	0.0585229i
$667$	−15.4197	−	2.44224i	−0.597053	−	0.0945639i
$668$	14.4763	−	7.37603i	0.560104	−	0.285387i
$669$	2.61405	+	3.59793i	0.101065	+	0.139104i
$670$	−7.72609	+	8.33581i	−0.298485	+	0.322041i
$671$	19.8007	+	60.9404i	0.764399	+	2.35258i
$672$	3.59784	−	0.569842i	0.138790	−	0.0219821i
$673$	−26.2441	+	13.3721i	−1.01164	+	0.515455i	−0.879562	−	0.475785i	$-0.842164\pi$
$673$	−26.2441	+	13.3721i	−1.01164	+	0.515455i	−0.132075	+	0.991240i	$0.542164\pi$
$674$	10.6192	−	32.6826i	0.409038	−	1.25889i
$675$	3.79340	+	3.25732i	0.146008	+	0.125374i
$676$	−20.6788			−0.795340
$677$	−5.34292	+	5.34292i	−0.205345	+	0.205345i	−0.802286	−	0.596940i	$-0.796383\pi$
$677$	−5.34292	+	5.34292i	−0.205345	+	0.205345i	0.596940	+	0.802286i	$0.296383\pi$
$678$	7.21263	−	14.1556i	0.276999	−	0.543642i
$679$	−11.1200	−	15.3054i	−0.426747	−	0.587367i
$680$	1.82938	−	1.97375i	0.0701534	−	0.0756898i
$681$		−	12.7469i		−	0.488461i
$682$	16.5671	−	16.2534i	0.634387	−	0.622375i
$683$	20.4904	−	20.4904i	0.784045	−	0.784045i	−0.196466	−	0.980511i	$-0.562946\pi$
$683$	20.4904	−	20.4904i	0.784045	−	0.784045i	0.980511	+	0.196466i	$0.0629465\pi$
$684$	−1.00840	+	1.38794i	−0.0385571	+	0.0530693i
$685$	13.0306	−	45.9693i	0.497873	−	1.75640i
$686$	0.822651	+	2.53186i	0.0314090	+	0.0966669i
$687$	−0.645612	−	0.645612i	−0.0246316	−	0.0246316i
$688$	5.92686	+	5.92686i	0.225960	+	0.225960i
$689$	22.4117	−	7.28202i	0.853820	−	0.277423i
$690$	2.39302	+	6.51316i	0.0911005	+	0.247952i
$691$	6.04425	−	18.6023i	0.229934	−	0.707664i	−0.767819	−	0.640667i	$-0.778658\pi$
$691$	6.04425	−	18.6023i	0.229934	−	0.707664i	0.997753	−	0.0669975i	$-0.0213419\pi$
$692$	−3.62414	−	22.8819i	−0.137769	−	0.869840i
$693$	6.89347	−	13.5292i	0.261861	−	0.513932i
$694$	−7.26550	−	5.27869i	−0.275794	−	0.200376i
$695$	22.5803	−	12.6062i	0.856519	−	0.478181i
$696$	−1.55466	+	4.78475i	−0.0589292	+	0.181365i
$697$	−1.24706	+	7.87363i	−0.0472358	+	0.298235i
$698$	4.31742	−	27.2591i	0.163417	−	1.03177i
$699$	8.69439	−	26.7586i	0.328852	−	1.01210i
$700$	−7.01463	+	16.8085i	−0.265128	+	0.635300i
$701$	−10.1510	−	7.37516i	−0.383399	−	0.278556i	0.379346	−	0.925255i	$-0.376149\pi$
$701$	−10.1510	−	7.37516i	−0.383399	−	0.278556i	−0.762745	+	0.646699i	$0.776149\pi$
$702$	2.63466	−	5.17082i	0.0994390	−	0.195160i
$703$	0.501016	+	3.16329i	0.0188962	+	0.119306i
$704$	−1.28811	+	3.96438i	−0.0485473	+	0.149413i
$705$	−16.8494	−	7.79483i	−0.634587	−	0.293570i
$706$	−27.3800	+	8.89629i	−1.03046	+	0.334816i
$707$	−31.5946	−	31.5946i	−1.18824	−	1.18824i
$708$	−2.51639	−	2.51639i	−0.0945716	−	0.0945716i
$709$	14.0342	+	43.1927i	0.527064	+	1.62214i	0.760198	+	0.649692i	$0.225102\pi$
$709$	14.0342	+	43.1927i	0.527064	+	1.62214i	−0.233134	+	0.972445i	$0.574898\pi$
$710$	−12.6270	−	3.57927i	−0.473881	−	0.134328i
$711$	−1.06206	+	1.46180i	−0.0398305	+	0.0548219i
$712$	7.90253	−	7.90253i	0.296160	−	0.296160i
$713$	−12.0998	−	12.3333i	−0.453141	−	0.461887i
$714$			4.38405i			0.164069i
$715$	−54.0531	+	2.05190i	−2.02147	+	0.0767367i
$716$	6.72650	+	9.25824i	0.251381	+	0.345997i
$717$	−2.32096	+	4.55515i	−0.0866780	+	0.170115i
$718$	−6.26512	+	6.26512i	−0.233812	+	0.233812i
$719$	−0.455401			−0.0169836			−0.00849180	−	0.999964i	$-0.502703\pi$
$719$	−0.455401			−0.0169836			−0.00849180	+	0.999964i	$0.502703\pi$
$720$	2.19368	−	0.433324i	0.0817536	−	0.0161490i
$721$	1.61520	−	4.97109i	0.0601533	−	0.185133i
$722$	−14.3067	+	7.28961i	−0.532439	+	0.271291i
$723$	20.7380	−	3.28457i	0.771254	−	0.122155i
$724$	−4.63036	−	14.2508i	−0.172086	−	0.529626i
$725$	−16.2860	−	19.1712i	−0.604846	−	0.712002i
$726$	3.74746	+	5.15794i	0.139081	+	0.191429i
$727$	15.5235	−	7.90961i	0.575734	−	0.293351i	−0.141776	−	0.989899i	$-0.545281\pi$
$727$	15.5235	−	7.90961i	0.575734	−	0.293351i	0.717511	+	0.696547i	$0.245281\pi$
$728$	20.8795	+	3.30699i	0.773846	+	0.122565i
$729$	0.587785	+	0.809017i	0.0217698	+	0.0299636i
$730$	−12.0087	−	5.55544i	−0.444463	−	0.205616i
$731$	−8.16114	+	5.92942i	−0.301851	+	0.219307i
$732$	−2.40470	−	15.1827i	−0.0888805	−	0.561169i
$733$	41.3106	+	21.0488i	1.52584	+	0.777455i	0.997438	−	0.0715377i	$-0.0227906\pi$
$733$	41.3106	+	21.0488i	1.52584	+	0.777455i	0.528404	+	0.848993i	$0.322791\pi$
$734$	−12.1720	−	8.84351i	−0.449279	−	0.326420i
$735$	−4.83452	−	13.1583i	−0.178324	−	0.485351i
$736$	2.95127	+	0.958927i	0.108785	+	0.0353465i
$737$	18.8782	+	9.61891i	0.695386	+	0.354317i
$738$	−4.68367	+	4.68367i	−0.172408	+	0.172408i
$739$	−47.5177			−1.74797			−0.873983	−	0.485956i	$-0.838471\pi$
$739$	−47.5177			−1.74797			−0.873983	+	0.485956i	$0.838471\pi$
$740$	2.32376	−	3.46778i	0.0854231	−	0.127478i
$741$	−8.05471	+	5.85209i	−0.295897	+	0.214982i
$742$	−14.6094	+	2.31390i	−0.536329	+	0.0849461i
$743$	−16.4198	−	16.4198i	−0.602383	−	0.602383i	0.338562	−	0.940944i	$-0.390060\pi$
$743$	−16.4198	−	16.4198i	−0.602383	−	0.602383i	−0.940944	+	0.338562i	$0.890060\pi$
$744$	−4.53549	+	3.22945i	−0.166279	+	0.118397i
$745$	3.86954	−	32.3259i	0.141769	−	1.18433i
$746$	−10.2701	−	7.46166i	−0.376015	−	0.273191i
$747$	−0.572712	+	3.61596i	−0.0209544	+	0.132301i
$748$	−4.46996	−	2.27756i	−0.163438	−	0.0832758i
$749$			3.32174i			0.121374i
$750$	−3.91144	+	10.4738i	−0.142826	+	0.382449i
$751$	−14.8158	−	45.5983i	−0.540636	−	1.66391i	−0.731147	−	0.682220i	$-0.761014\pi$
$751$	−14.8158	−	45.5983i	−0.540636	−	1.66391i	0.190511	−	0.981685i	$-0.438986\pi$
$752$	−7.39764	+	3.76929i	−0.269764	+	0.137452i
$753$	−4.60166	−	9.03127i	−0.167694	−	0.329118i
$754$	−17.1613	+	23.6205i	−0.624977	+	0.860207i
$755$	−8.58460	+	1.69574i	−0.312426	+	0.0617143i
$756$	−2.14112	+	2.94700i	−0.0778717	+	0.107181i
$757$	1.12641	−	7.11190i	0.0409402	−	0.258486i	−0.958726	−	0.284333i	$-0.908228\pi$
$757$	1.12641	−	7.11190i	0.0409402	−	0.258486i	0.999666	+	0.0258462i	$0.00822803\pi$
$758$	−9.33171	−	18.3145i	−0.338943	−	0.665213i
$759$	10.4648	−	7.60311i	0.379848	−	0.275975i
$760$	−3.69077	−	1.04619i	−0.133878	−	0.0379494i
$761$	−31.5705	−	10.2579i	−1.14443	−	0.371848i	−0.325388	−	0.945581i	$-0.605495\pi$
$761$	−31.5705	−	10.2579i	−1.14443	−	0.371848i	−0.819043	+	0.573733i	$0.805495\pi$
$762$	−17.5170	−	2.77443i	−0.634575	−	0.100507i
$763$	−46.9501	+	7.43616i	−1.69971	+	0.269207i
$764$	5.55916	−	1.80628i	0.201123	−	0.0653489i
$765$	0.102085	+	2.68922i	0.00369089	+	0.0972288i
$766$	25.3373	+	8.23258i	0.915473	+	0.297455i
$767$	−9.37600	−	18.4014i	−0.338548	−	0.664437i
$768$	0.453990	−	0.891007i	0.0163820	−	0.0321514i
$769$		−	47.4015i		−	1.70934i	−0.519170	−	0.854671i	$-0.673759\pi$
$769$		−	47.4015i		−	1.70934i	0.519170	−	0.854671i	$-0.326241\pi$
$770$	33.7122	+	4.03548i	1.21490	+	0.145429i
$771$	28.3018	−	9.19582i	1.01927	−	0.331179i
$772$	9.45933	+	1.49821i	0.340449	+	0.0539218i
$773$	−0.350196	−	2.21105i	−0.0125957	−	0.0795260i	0.980590	−	0.196071i	$-0.0628182\pi$
$773$	−0.350196	−	2.21105i	−0.0125957	−	0.0795260i	−0.993185	+	0.116545i	$0.962818\pi$
$774$	−8.38185			−0.301279
$775$	−1.84512	−	27.7776i	−0.0662787	−	0.997801i
$776$	−5.19356			−0.186438
$777$	1.06380	+	6.71657i	0.0381636	+	0.240956i
$778$	−23.7769	−	3.76589i	−0.852442	−	0.135014i
$779$	10.8074	−	3.51154i	0.387216	−	0.125814i
$780$	12.8847	+	1.54235i	0.461346	+	0.0552249i
$781$			24.4662i			0.875468i
$782$	−1.69552	+	3.32765i	−0.0606317	+	0.118996i
$783$	−2.28402	−	4.48264i	−0.0816241	−	0.160196i
$784$	−5.96234	−	1.93728i	−0.212941	−	0.0691887i
$785$	0.538695	+	14.1908i	0.0192268	+	0.506492i
$786$	−6.30467	+	2.04851i	−0.224880	+	0.0730680i
$787$	36.7499	−	5.82061i	1.30999	−	0.207482i	0.537909	−	0.843003i	$-0.319215\pi$
$787$	36.7499	−	5.82061i	1.30999	−	0.207482i	0.772084	+	0.635521i	$0.219215\pi$
$788$	23.6275	+	3.74223i	0.841696	+	0.133312i
$789$	0.122214	+	0.0397098i	0.00435094	+	0.00141371i
$790$	−3.88717	−	1.10187i	−0.138299	−	0.0392027i
$791$	−46.8195	+	34.0163i	−1.66471	+	1.20948i
$792$	−1.89241	−	3.71407i	−0.0672440	−	0.131974i
$793$	13.9553	−	88.1105i	0.495568	−	3.12890i
$794$	−15.6945	+	21.6016i	−0.556976	+	0.766611i
$795$	−8.90767	+	1.75956i	−0.315923	+	0.0624051i
$796$	−9.89004	+	13.6125i	−0.350543	+	0.482481i
$797$	2.29427	+	4.50275i	0.0812671	+	0.159496i	0.928064	−	0.372421i	$-0.121472\pi$
$797$	2.29427	+	4.50275i	0.0812671	+	0.159496i	−0.846797	+	0.531916i	$0.821472\pi$
$798$	5.56823	−	2.83715i	0.197113	−	0.100434i
$799$	−3.08779	−	9.50325i	−0.109238	−	0.336201i
$800$	2.60117	+	4.27012i	0.0919651	+	0.150972i
$801$			11.1759i			0.394880i
$802$	−3.21850	−	1.63991i	−0.113649	−	0.0579071i
$803$	−3.85856	+	24.3620i	−0.136166	+	0.859717i
$804$	−4.11213	−	2.98764i	−0.145024	−	0.105366i
$805$	3.00420	−	25.0969i	0.105884	−	0.884551i
$806$	−30.8242	+	9.69069i	−1.08574	+	0.341340i
$807$	−7.12193	−	7.12193i	−0.250704	−	0.250704i
$808$	−12.1151	+	1.91884i	−0.426207	+	0.0675045i
$809$	−5.60387	+	4.07145i	−0.197022	+	0.143145i	−0.681922	−	0.731425i	$-0.738856\pi$
$809$	−5.60387	+	4.07145i	−0.197022	+	0.143145i	0.484901	+	0.874569i	$0.338856\pi$
$810$	−1.24476	+	1.85757i	−0.0437364	+	0.0652684i
$811$	−1.22947			−0.0431725			−0.0215862	−	0.999767i	$-0.506872\pi$
$811$	−1.22947			−0.0431725			−0.0215862	+	0.999767i	$0.506872\pi$
$812$	12.9586	−	12.9586i	0.454759	−	0.454759i
$813$	10.2232	+	5.20896i	0.358542	+	0.182686i
$814$	−7.40085	−	2.40468i	−0.259400	−	0.0842840i
$815$	9.05686	+	24.6504i	0.317248	+	0.863466i
$816$	0.973668	+	0.707411i	0.0340852	+	0.0247644i
$817$	12.8125	+	6.52831i	0.448254	+	0.228397i
$818$	0.725956	+	4.58350i	0.0253825	+	0.160258i
$819$	−17.1024	+	12.4257i	−0.597608	+	0.434187i
$820$	−13.4423	−	6.21865i	−0.469427	−	0.217165i
$821$	−17.2387	−	23.7270i	−0.601634	−	0.828079i	0.394222	−	0.919015i	$-0.371014\pi$
$821$	−17.2387	−	23.7270i	−0.601634	−	0.828079i	−0.995857	+	0.0909363i	$0.971014\pi$
$822$	21.1050	+	3.34270i	0.736121	+	0.116590i
$823$	6.78922	−	3.45928i	0.236657	−	0.120583i	−0.331640	−	0.943406i	$-0.607602\pi$
$823$	6.78922	−	3.45928i	0.236657	−	0.120583i	0.568298	+	0.822823i	$0.307602\pi$
$824$	−0.843415	−	1.16086i	−0.0293818	−	0.0404405i
$825$	20.7733	+	1.69040i	0.723235	+	0.0588520i
$826$	4.00587	+	12.3288i	0.139382	+	0.428974i
$827$	7.53507	−	1.19344i	0.262020	−	0.0414999i	−0.0240422	−	0.999711i	$-0.507654\pi$
$827$	7.53507	−	1.19344i	0.262020	−	0.0414999i	0.286062	+	0.958211i	$0.407654\pi$
$828$	−2.76493	+	1.40880i	−0.0960879	+	0.0489592i
$829$	2.05735	−	6.33186i	0.0714546	−	0.219915i	−0.908951	−	0.416902i	$-0.863116\pi$
$829$	2.05735	−	6.33186i	0.0714546	−	0.219915i	0.980406	+	0.196987i	$0.0631158\pi$
$830$	−8.03113	+	1.58641i	−0.278765	+	0.0550652i
$831$	−1.38247			−0.0479574
$832$	4.10359	−	4.10359i	0.142266	−	0.142266i
$833$	3.42540	−	6.72272i	0.118683	−	0.232928i
$834$	6.79794	+	9.35656i	0.235393	+	0.323991i
$835$	−36.3035	+	1.37811i	−1.25633	+	0.0476915i
$836$			7.15127i			0.247332i
$837$	0.923511	−	5.49064i	0.0319212	−	0.189784i
$838$	−26.2049	+	26.2049i	−0.905233	+	0.905233i
$839$	7.61830	−	10.4857i	0.263013	−	0.362006i	−0.657002	−	0.753888i	$-0.728176\pi$
$839$	7.61830	−	10.4857i	0.263013	−	0.362006i	0.920015	+	0.391882i	$0.128176\pi$
$840$	−7.83654	−	2.22137i	−0.270386	−	0.0766444i
$841$	−1.14003	−	3.50866i	−0.0393115	−	0.120988i
$842$	14.8841	+	14.8841i	0.512939	+	0.512939i
$843$	19.7164	+	19.7164i	0.679070	+	0.679070i
$844$	20.7596	−	6.74520i	0.714575	−	0.232180i
$845$	41.9661	+	19.4142i	1.44368	+	0.667870i
$846$	2.56563	−	7.89621i	0.0882083	−	0.271477i
$847$	−3.63306	−	22.9383i	−0.124834	−	0.788168i
$848$	−1.84348	+	3.61803i	−0.0633053	+	0.124244i
$849$	−16.2660	−	11.8180i	−0.558249	−	0.405591i
$850$	−5.56563	+	2.28807i	−0.190900	+	0.0784801i
$851$	−1.79016	+	5.50954i	−0.0613658	+	0.188864i
$852$	0.918182	−	5.79717i	0.0314564	−	0.198608i
$853$	4.20163	−	26.5280i	0.143861	−	0.908302i	−0.805153	−	0.593068i	$-0.797917\pi$
$853$	4.20163	−	26.5280i	0.143861	−	0.908302i	0.949014	−	0.315235i	$-0.102083\pi$
$854$	−17.3035	+	53.2547i	−0.592113	+	1.82234i
$855$	3.34954	−	1.86999i	0.114552	−	0.0639525i
$856$	0.737736	+	0.535997i	0.0252153	+	0.0183200i
$857$	−5.37413	+	10.5473i	−0.183577	+	0.360289i	−0.964394	−	0.264470i	$-0.914803\pi$
$857$	−5.37413	+	10.5473i	−0.183577	+	0.360289i	0.780817	+	0.624759i	$0.214803\pi$
$858$	−3.78425	−	23.8928i	−0.129192	−	0.815688i
$859$	−16.6873	+	51.3583i	−0.569365	+	1.75232i	0.0852481	+	0.996360i	$0.472832\pi$
$859$	−16.6873	+	51.3583i	−0.569365	+	1.75232i	−0.654613	+	0.755964i	$0.727168\pi$
$860$	−6.46372	−	17.5925i	−0.220411	−	0.599901i
$861$	22.9472	−	7.45600i	0.782039	−	0.254100i
$862$	15.8166	+	15.8166i	0.538716	+	0.538716i
$863$	4.71621	+	4.71621i	0.160542	+	0.160542i	0.782807	−	0.622265i	$-0.213787\pi$
$863$	4.71621	+	4.71621i	0.160542	+	0.160542i	−0.622265	+	0.782807i	$0.713787\pi$
$864$	0.309017	+	0.951057i	0.0105130	+	0.0323556i
$865$	−14.1277	+	49.8397i	−0.480356	+	1.69460i
$866$	21.4601	−	29.5373i	0.729244	−	1.00372i
$867$	10.9966	−	10.9966i	0.373464	−	0.373464i
$868$	20.0613	−	2.98114i	0.680926	−	0.101186i
$869$			7.53184i			0.255500i
$870$	7.64721	−	8.25070i	0.259265	−	0.279725i
$871$	−17.3383	−	23.8641i	−0.587486	−	0.808606i
$872$	−5.92435	+	11.6272i	−0.200624	+	0.393747i
$873$	3.67240	−	3.67240i	0.124292	−	0.124292i
$874$	5.32374			0.180078
$875$	30.0162	−	27.5259i	1.01473	−	0.930544i
$876$	1.82855	−	5.62769i	0.0617809	−	0.190142i
$877$	−34.2066	+	17.4292i	−1.15508	+	0.588541i	−0.923244	−	0.384215i	$-0.874472\pi$
$877$	−34.2066	+	17.4292i	−1.15508	+	0.588541i	−0.231832	+	0.972756i	$0.574472\pi$
$878$	−40.7036	+	6.44682i	−1.37368	+	0.217570i
$879$	−2.83620	−	8.72894i	−0.0956628	−	0.294420i
$880$	6.33606	−	6.83609i	0.213589	−	0.230445i
$881$	−2.37330	−	3.26656i	−0.0799584	−	0.110053i	0.767164	−	0.641451i	$-0.221667\pi$
$881$	−2.37330	−	3.26656i	−0.0799584	−	0.110053i	−0.847123	+	0.531397i	$0.821667\pi$
$882$	5.58588	−	2.84615i	0.188086	−	0.0958348i
$883$	30.1520	+	4.77561i	1.01470	+	0.160712i	0.641567	−	0.767067i	$-0.278285\pi$
$883$	30.1520	+	4.77561i	1.01470	+	0.160712i	0.373129	+	0.927779i	$0.378285\pi$
$884$	4.10535	+	5.65053i	0.138078	+	0.190048i
$885$	2.74432	+	7.46932i	0.0922493	+	0.251078i
$886$	−9.07813	+	6.59565i	−0.304986	+	0.221585i
$887$	−4.37529	−	27.6245i	−0.146908	−	0.927540i	−0.945489	−	0.325653i	$-0.894416\pi$
$887$	−4.37529	−	27.6245i	−0.146908	−	0.927540i	0.798581	−	0.601887i	$-0.205584\pi$
$888$	1.66336	+	0.847525i	0.0558187	+	0.0284411i
$889$	52.2661	+	37.9736i	1.75295	+	1.27359i
$890$	−23.4569	+	8.61834i	−0.786276	+	0.288887i
$891$	3.96438	+	1.28811i	0.132812	+	0.0431532i
$892$	−3.96256	−	2.01903i	−0.132676	−	0.0676020i
$893$	−10.0719	+	10.0719i	−0.337043	+	0.337043i
$894$	14.5598			0.486953
$895$	−4.95888	−	25.1041i	−0.165757	−	0.839136i
$896$	−2.94700	+	2.14112i	−0.0984523	+	0.0715297i
$897$	−17.7870	+	2.81718i	−0.593889	+	0.0940628i
$898$	17.1019	+	17.1019i	0.570696	+	0.570696i
$899$	−8.91020	+	26.5564i	−0.297172	+	0.885705i
$900$	−4.85873	−	1.18013i	−0.161958	−	0.0393376i
$901$	−3.95368	−	2.87252i	−0.131716	−	0.0956975i
$902$	−4.31920	+	27.2704i	−0.143814	+	0.908004i
$903$	27.2046	+	13.8615i	0.905313	+	0.461280i
$904$			15.8872i			0.528400i
$905$	−3.98232	+	33.2681i	−0.132377	+	1.10587i
$906$	−1.20929	−	3.72180i	−0.0401759	−	0.123649i
$907$	52.4565	−	26.7279i	1.74179	−	0.887485i	0.774978	−	0.631988i	$-0.217761\pi$
$907$	52.4565	−	26.7279i	1.74179	−	0.887485i	0.966810	−	0.255497i	$-0.0822391\pi$
$908$	5.78696	+	11.3575i	0.192047	+	0.376913i
$909$	7.20982	−	9.92347i	0.239135	−	0.329141i
$910$	−39.2687	−	26.3139i	−1.30174	−	0.872299i
$911$	30.7339	−	42.3016i	1.01826	−	1.40151i	0.104843	−	0.994489i	$-0.466566\pi$
$911$	30.7339	−	42.3016i	1.01826	−	1.40151i	0.913417	−	0.407025i	$-0.133434\pi$
$912$	0.268378	−	1.69447i	0.00888687	−	0.0561095i
$913$	6.92819	+	13.5973i	0.229290	+	0.450006i
$914$	9.25402	−	6.72344i	0.306096	−	0.222392i
$915$	−9.37406	+	33.0698i	−0.309897	+	1.09325i
$916$	0.868346	+	0.282143i	0.0286910	+	0.00932226i
$917$	23.8505	+	3.77755i	0.787614	+	0.124746i
$918$	−1.18870	+	0.188272i	−0.0392330	+	0.00621390i
$919$	−8.70187	+	2.82741i	−0.287048	+	0.0932677i	−0.449002	−	0.893531i	$-0.648220\pi$
$919$	−8.70187	+	2.82741i	−0.287048	+	0.0932677i	0.161954	+	0.986798i	$0.448220\pi$
$920$	−5.08911	−	4.71686i	−0.167783	−	0.155510i
$921$	−13.0403	−	4.23704i	−0.429691	−	0.139615i
$922$	9.44949	+	18.5457i	0.311202	+	0.610769i
$923$	15.4640	−	30.3498i	0.509003	−	0.998975i
$924$			15.1842i			0.499523i
$925$	−7.97161	+	4.85595i	−0.262105	+	0.159662i
$926$	−18.7007	+	6.07622i	−0.614542	+	0.199677i
$927$	1.41724	+	0.224468i	0.0465482	+	0.00737251i
$928$	−0.787019	−	4.96904i	−0.0258352	−	0.163117i
$929$	14.0811			0.461985			0.230993	−	0.972956i	$-0.425803\pi$
$929$	14.0811			0.461985			0.230993	+	0.972956i	$0.425803\pi$
$930$	12.2364	−	2.29580i	0.401247	−	0.0752822i
$931$	−10.7554			−0.352492
$932$	4.40138	+	27.7892i	0.144172	+	0.910267i
$933$	15.6283	+	2.47527i	0.511646	+	0.0810368i
$934$	12.4806	−	4.05519i	0.408377	−	0.132690i
$935$	6.93317	+	8.81874i	0.226739	+	0.288404i
$936$			5.80335i			0.189688i
$937$	−0.541355	+	1.06247i	−0.0176853	+	0.0347093i	−0.899680	−	0.436550i	$-0.856200\pi$
$937$	−0.541355	+	1.06247i	−0.0176853	+	0.0347093i	0.881995	+	0.471259i	$0.156200\pi$
$938$	8.40579	+	16.4973i	0.274459	+	0.538656i
$939$	−8.23377	−	2.67531i	−0.268699	−	0.0873055i
$940$	18.5517	−	0.704239i	0.605091	−	0.0229698i
$941$	−25.3654	+	8.24171i	−0.826888	+	0.268672i	−0.691734	−	0.722153i	$-0.743153\pi$
$941$	−25.3654	+	8.24171i	−0.826888	+	0.268672i	−0.135154	+	0.990825i	$0.543153\pi$
$942$	−6.27270	+	0.993499i	−0.204376	+	0.0323699i
$943$	20.3013	+	3.21542i	0.661103	+	0.104708i
$944$	3.38453	+	1.09970i	0.110157	+	0.0357922i
$945$	7.11202	−	3.97053i	0.231354	−	0.129161i
$946$	−28.2662	+	20.5366i	−0.919013	+	0.667702i
$947$	2.71746	+	5.33331i	0.0883055	+	0.173309i	0.930935	−	0.365184i	$-0.118994\pi$
$947$	2.71746	+	5.33331i	0.0883055	+	0.173309i	−0.842630	+	0.538493i	$0.818994\pi$
$948$	0.282660	−	1.78464i	0.00918036	−	0.0579625i
$949$	20.1846	−	27.7818i	0.655221	−	0.901835i
$950$	6.50792	+	5.58823i	0.211145	+	0.181306i
$951$	−0.535664	+	0.737279i	−0.0173701	+	0.0239079i
$952$	−1.99032	−	3.90622i	−0.0645065	−	0.126601i
$953$	49.6078	−	25.2764i	1.60695	−	0.818784i	0.607248	−	0.794512i	$-0.292273\pi$
$953$	49.6078	−	25.2764i	1.60695	−	0.818784i	0.999705	−	0.0242716i	$-0.00772664\pi$
$954$	−1.25480	−	3.86187i	−0.0406255	−	0.125033i
$955$	−12.9777	−	1.55348i	−0.419949	−	0.0502696i
$956$		−	5.11236i		−	0.165346i
$957$	−18.6854	−	9.52070i	−0.604014	−	0.307761i
$958$	1.77344	−	11.1971i	0.0572974	−	0.361761i
$959$	−62.9716	−	45.7516i	−2.03346	−	1.47739i
$960$	−1.75786	+	1.38200i	−0.0567346	+	0.0446040i
$961$	−25.4232	+	17.7386i	−0.820105	+	0.572214i
$962$	7.66071	+	7.66071i	0.246991	+	0.246991i
$963$	−0.900665	+	0.142651i	−0.0290235	+	0.00459687i
$964$	−16.9865	+	12.3414i	−0.547099	+	0.397490i
$965$	−17.7904	−	11.9214i	−0.572694	−	0.383762i
$966$	11.3038			0.363694
$967$	−37.9577	+	37.9577i	−1.22064	+	1.22064i	−0.253233	+	0.967405i	$0.581494\pi$
$967$	−37.9577	+	37.9577i	−1.22064	+	1.22064i	−0.967405	+	0.253233i	$0.918506\pi$
$968$	−5.68067	−	2.89444i	−0.182584	−	0.0930310i
$969$	1.96369	+	0.638043i	0.0630829	+	0.0204969i
$970$	10.5399	+	4.87595i	0.338417	+	0.156557i
$971$	−38.8667	−	28.2383i	−1.24729	−	0.906212i	−0.249232	−	0.968444i	$-0.580178\pi$
$971$	−38.8667	−	28.2383i	−1.24729	−	0.906212i	−0.998062	+	0.0622322i	$0.980178\pi$
$972$	−0.891007	−	0.453990i	−0.0285790	−	0.0145618i
$973$	−6.59042	−	41.6103i	−0.211279	−	1.33396i
$974$	9.34830	−	6.79194i	0.299539	−	0.217628i
$975$	−24.7005	−	15.2268i	−0.791049	−	0.487649i
$976$	9.03541	+	12.4362i	0.289217	+	0.398072i
$977$	−24.1802	−	3.82976i	−0.773593	−	0.122525i	−0.242857	−	0.970062i	$-0.578084\pi$
$977$	−24.1802	−	3.82976i	−0.773593	−	0.122525i	−0.530736	+	0.847537i	$0.678084\pi$
$978$	−10.4644	+	5.33190i	−0.334616	+	0.170495i
$979$	27.3823	+	37.6884i	0.875141	+	1.20453i
$980$	10.2813	+	9.52929i	0.328425	+	0.304402i
$981$	−4.03252	−	12.4108i	−0.128748	−	0.396247i
$982$	−8.92514	+	1.41360i	−0.284813	+	0.0451099i
$983$	24.2844	−	12.3735i	0.774550	−	0.394653i	−0.0215885	−	0.999767i	$-0.506872\pi$
$983$	24.2844	−	12.3735i	0.774550	−	0.394653i	0.796139	+	0.605114i	$0.206872\pi$
$984$	2.04684	−	6.29953i	0.0652509	−	0.200822i
$985$	−44.4369	−	29.7772i	−1.41588	−	0.948781i
$986$	6.05489			0.192827
$987$	−21.3855	+	21.3855i	−0.680708	+	0.680708i
$988$	4.52001	−	8.87102i	0.143801	−	0.282225i
$989$	15.2884	+	21.0427i	0.486143	+	0.669118i
$990$	0.353572	+	9.31412i	0.0112372	+	0.296022i
$991$			18.5847i			0.590363i	0.955441	+	0.295181i	$0.0953801\pi$
$991$			18.5847i			0.590363i	−0.955441	+	0.295181i	$0.904620\pi$
$992$	2.57501	−	4.93653i	0.0817567	−	0.156735i
$993$	4.80540	−	4.80540i	0.152495	−	0.152495i
$994$	−12.5672	+	17.2972i	−0.398606	+	0.548634i
$995$	32.8511	−	18.3403i	1.04145	−	0.581426i
$996$	−1.13132	−	3.48185i	−0.0358473	−	0.110327i
$997$	7.53726	+	7.53726i	0.238707	+	0.238707i	0.816315	−	0.577607i	$-0.196014\pi$
$997$	7.53726	+	7.53726i	0.238707	+	0.238707i	−0.577607	+	0.816315i	$0.696014\pi$
$998$	17.0131	+	17.0131i	0.538542	+	0.538542i
$999$	−1.77546	+	0.576883i	−0.0561732	+	0.0182518i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	930.2.bj.b.277.15	yes	128
5.3	odd	4		930.2.bj.a.463.15	✓	128
31.15	odd	10		930.2.bj.a.697.15	yes	128
155.108	even	20	inner	930.2.bj.b.883.15	yes	128

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
930.2.bj.a.463.15	✓	128	5.3	odd	4
930.2.bj.a.697.15	yes	128	31.15	odd	10
930.2.bj.b.277.15	yes	128	1.1	even	1	trivial
930.2.bj.b.883.15	yes	128	155.108	even	20	inner

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:	\( N \)	\(=\)	\( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	930.bj (of order \(20\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(0.156434 + 0.987688i) q^{2} +(0.987688 + 0.156434i) q^{3} +(-0.951057 + 0.309017i) q^{4} +(2.22022 + 0.265769i) q^{5} +1.00000i q^{6} +(1.65375 - 3.24566i) q^{7} +(-0.453990 - 0.891007i) q^{8} +(0.951057 + 0.309017i) q^{9} +O(q^{10})\)	\(q+(0.156434 + 0.987688i) q^{2} +(0.987688 + 0.156434i) q^{3} +(-0.951057 + 0.309017i) q^{4} +(2.22022 + 0.265769i) q^{5} +1.00000i q^{6} +(1.65375 - 3.24566i) q^{7} +(-0.453990 - 0.891007i) q^{8} +(0.951057 + 0.309017i) q^{9} +(0.0848219 + 2.23446i) q^{10} +(3.96438 - 1.28811i) q^{11} +(-0.987688 + 0.156434i) q^{12} +(-5.73190 - 0.907843i) q^{13} +(3.46440 + 1.12565i) q^{14} +(2.15131 + 0.609815i) q^{15} +(0.809017 - 0.587785i) q^{16} +(0.546387 + 1.07234i) q^{17} +(-0.156434 + 0.987688i) q^{18} +(1.00840 - 1.38794i) q^{19} +(-2.19368 + 0.433324i) q^{20} +(2.14112 - 2.94700i) q^{21} +(1.89241 + 3.71407i) q^{22} +(2.76493 - 1.40880i) q^{23} +(-0.309017 - 0.951057i) q^{24} +(4.85873 + 1.18013i) q^{25} -5.80335i q^{26} +(0.891007 + 0.453990i) q^{27} +(-0.569842 + 3.59784i) q^{28} +(-4.07015 - 2.95714i) q^{29} +(-0.265769 + 2.22022i) q^{30} +(-1.66984 - 5.31146i) q^{31} +(0.707107 + 0.707107i) q^{32} +(4.11708 - 0.652081i) q^{33} +(-0.973668 + 0.707411i) q^{34} +(4.53427 - 6.76656i) q^{35} -1.00000 q^{36} +(-1.32005 + 1.32005i) q^{37} +(1.52860 + 0.778862i) q^{38} +(-5.51931 - 1.79333i) q^{39} +(-0.771156 - 2.09889i) q^{40} +(5.35870 + 3.89332i) q^{41} +(3.24566 + 1.65375i) q^{42} +(1.31121 + 8.27866i) q^{43} +(-3.37231 + 2.45012i) q^{44} +(2.02943 + 0.938846i) q^{45} +(1.82399 + 2.51050i) q^{46} +(-8.20035 - 1.29881i) q^{47} +(0.891007 - 0.453990i) q^{48} +(-3.68493 - 5.07187i) q^{49} +(-0.405526 + 4.98353i) q^{50} +(0.371908 + 1.14462i) q^{51} +(5.73190 - 0.907843i) q^{52} +(-3.61803 + 1.84348i) q^{53} +(-0.309017 + 0.951057i) q^{54} +(9.14413 - 1.80627i) q^{55} -3.64269 q^{56} +(1.21311 - 1.21311i) q^{57} +(2.28402 - 4.48264i) q^{58} +(2.09176 + 2.87905i) q^{59} +(-2.23446 + 0.0848219i) q^{60} +15.3720i q^{61} +(4.98485 - 2.48018i) q^{62} +(2.57577 - 2.57577i) q^{63} +(-0.587785 + 0.809017i) q^{64} +(-12.4848 - 3.53897i) q^{65} +(1.28811 + 3.96438i) q^{66} +(3.59414 + 3.59414i) q^{67} +(-0.851017 - 0.851017i) q^{68} +(2.95127 - 0.958927i) q^{69} +(7.39256 + 3.41992i) q^{70} +(-1.81376 + 5.58216i) q^{71} +(-0.156434 - 0.987688i) q^{72} +(-2.68640 + 5.27236i) q^{73} +(-1.51030 - 1.09730i) q^{74} +(4.61430 + 1.92567i) q^{75} +(-0.530147 + 1.63162i) q^{76} +(2.37533 - 14.9972i) q^{77} +(0.907843 - 5.73190i) q^{78} +(-0.558359 + 1.71845i) q^{79} +(1.95241 - 1.09000i) q^{80} +(0.809017 + 0.587785i) q^{81} +(-3.00710 + 5.90177i) q^{82} +(0.572712 + 3.61596i) q^{83} +(-1.12565 + 3.46440i) q^{84} +(0.928102 + 2.52605i) q^{85} +(-7.97161 + 2.59013i) q^{86} +(-3.55744 - 3.55744i) q^{87} +(-2.94750 - 2.94750i) q^{88} +(3.45353 + 10.6289i) q^{89} +(-0.609815 + 2.15131i) q^{90} +(-12.4257 + 17.1024i) q^{91} +(-2.19426 + 2.19426i) q^{92} +(-0.818390 - 5.50729i) q^{93} -8.30257i q^{94} +(2.60774 - 2.81353i) q^{95} +(0.587785 + 0.809017i) q^{96} +(2.35782 - 4.62749i) q^{97} +(4.43298 - 4.43298i) q^{98} +4.16840 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 128 q + 4 q^{7}+O(q^{10}) \) 128 * q + 4 * q^7	\( 128 q + 4 q^{7} - 4 q^{10} - 4 q^{15} + 32 q^{16} + 12 q^{17} + 40 q^{19} + 40 q^{21} + 4 q^{22} + 32 q^{24} - 8 q^{25} - 4 q^{28} - 8 q^{29} + 20 q^{31} + 4 q^{33} + 24 q^{35} - 128 q^{36} - 64 q^{37} - 16 q^{38} - 24 q^{41} + 16 q^{42} - 24 q^{43} + 8 q^{44} + 20 q^{46} - 12 q^{47} + 100 q^{49} - 24 q^{50} + 64 q^{53} + 32 q^{54} + 68 q^{55} - 16 q^{57} + 40 q^{58} + 8 q^{62} - 4 q^{63} + 84 q^{65} - 12 q^{66} - 32 q^{67} - 8 q^{68} + 88 q^{70} + 24 q^{71} + 20 q^{73} + 16 q^{74} - 24 q^{75} - 24 q^{76} + 60 q^{77} + 56 q^{79} + 32 q^{81} - 16 q^{82} + 8 q^{83} - 68 q^{85} - 20 q^{87} + 4 q^{88} - 136 q^{89} - 40 q^{91} + 48 q^{93} - 92 q^{95} + 64 q^{97} - 16 q^{98} + 8 q^{99}+O(q^{100}) \) 128 * q + 4 * q^7 - 4 * q^10 - 4 * q^15 + 32 * q^16 + 12 * q^17 + 40 * q^19 + 40 * q^21 + 4 * q^22 + 32 * q^24 - 8 * q^25 - 4 * q^28 - 8 * q^29 + 20 * q^31 + 4 * q^33 + 24 * q^35 - 128 * q^36 - 64 * q^37 - 16 * q^38 - 24 * q^41 + 16 * q^42 - 24 * q^43 + 8 * q^44 + 20 * q^46 - 12 * q^47 + 100 * q^49 - 24 * q^50 + 64 * q^53 + 32 * q^54 + 68 * q^55 - 16 * q^57 + 40 * q^58 + 8 * q^62 - 4 * q^63 + 84 * q^65 - 12 * q^66 - 32 * q^67 - 8 * q^68 + 88 * q^70 + 24 * q^71 + 20 * q^73 + 16 * q^74 - 24 * q^75 - 24 * q^76 + 60 * q^77 + 56 * q^79 + 32 * q^81 - 16 * q^82 + 8 * q^83 - 68 * q^85 - 20 * q^87 + 4 * q^88 - 136 * q^89 - 40 * q^91 + 48 * q^93 - 92 * q^95 + 64 * q^97 - 16 * q^98 + 8 * q^99

Introduction

L-functions

Modular forms

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