LMFDB - Embedded newform 196.2.p.a.3.17

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [196,2,Mod(3,196)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(196, base_ring=CyclotomicField(42))

chi = DirichletCharacter(H, H._module([21, 1]))

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

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

chi := DirichletCharacter("196.3");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 196 = 2^{2} \cdot 7^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	196.p (of order $42$, degree $12$, 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:	$1.56506787962$
Analytic rank:	$0$
Dimension:	$312$
Relative dimension:	$26$ over $\Q(\zeta_{42})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label			3.17
Character	$\chi$	$=$	196.3
Dual form			196.2.p.a.131.17

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	\(q+(0.617894 + 1.27209i) q^{2} +(-0.119444 + 1.59387i) q^{3} +(-1.23641 + 1.57203i) q^{4} +(-0.497555 + 0.729779i) q^{5} +(-2.10134 + 0.832897i) q^{6} +(-2.00509 - 1.72615i) q^{7} +(-2.76373 - 0.601480i) q^{8} +(0.440352 + 0.0663724i) q^{9} +(-1.23578 - 0.182008i) q^{10} +(0.813315 + 5.39600i) q^{11} +(-2.35792 - 2.15845i) q^{12} +(3.22002 - 2.56788i) q^{13} +(0.956882 - 3.61723i) q^{14} +(-1.10374 - 0.880203i) q^{15} +(-0.942558 - 3.88736i) q^{16} +(0.359079 - 1.16411i) q^{17} +(0.187659 + 0.601178i) q^{18} +(0.612375 + 1.06066i) q^{19} +(-0.532050 - 1.68448i) q^{20} +(2.99075 - 2.98967i) q^{21} +(-6.36164 + 4.36876i) q^{22} +(0.100574 + 0.326053i) q^{23} +(1.28879 - 4.33318i) q^{24} +(1.54169 + 3.92816i) q^{25} +(5.25620 + 2.50947i) q^{26} +(-1.22537 + 5.36872i) q^{27} +(5.19269 - 1.01783i) q^{28} +(0.895454 + 3.92324i) q^{29} +(0.437702 - 1.94793i) q^{30} +(1.27375 - 2.20619i) q^{31} +(4.36267 - 3.60099i) q^{32} +(-8.69764 + 0.651798i) q^{33} +(1.70272 - 0.262513i) q^{34} +(2.25735 - 0.604420i) q^{35} +(-0.648797 + 0.610183i) q^{36} +(1.83396 - 1.70167i) q^{37} +(-0.970876 + 1.43437i) q^{38} +(3.70825 + 5.43900i) q^{39} +(1.81406 - 1.71764i) q^{40} +(-3.45950 - 7.18372i) q^{41} +(5.65109 + 1.95720i) q^{42} +(3.12699 - 6.49327i) q^{43} +(-9.48826 - 5.39313i) q^{44} +(-0.267536 + 0.288336i) q^{45} +(-0.352624 + 0.329405i) q^{46} +(2.11880 - 5.39863i) q^{47} +(6.30851 - 1.03799i) q^{48} +(1.04080 + 6.92219i) q^{49} +(-4.04436 + 4.38835i) q^{50} +(1.81254 + 0.711368i) q^{51} +(0.0555056 + 8.23694i) q^{52} +(9.06213 + 8.40843i) q^{53} +(-7.58663 + 1.75851i) q^{54} +(-4.34255 - 2.09126i) q^{55} +(4.50330 + 5.97665i) q^{56} +(-1.76370 + 0.849354i) q^{57} +(-4.43741 + 3.56324i) q^{58} +(10.8021 - 7.36472i) q^{59} +(2.74838 - 0.646816i) q^{60} +(-9.76203 - 10.5210i) q^{61} +(3.59351 + 0.257124i) q^{62} +(-0.768378 - 0.893198i) q^{63} +(7.27644 + 3.32466i) q^{64} +(0.271848 + 3.62756i) q^{65} +(-6.20336 - 10.6614i) q^{66} +(-7.27321 - 4.19919i) q^{67} +(1.38604 + 2.00380i) q^{68} +(-0.531698 + 0.121357i) q^{69} +(2.16368 + 2.49808i) q^{70} +(-3.37318 - 0.769907i) q^{71} +(-1.17709 - 0.448299i) q^{72} +(-4.13308 + 1.62212i) q^{73} +(3.29786 + 1.28151i) q^{74} +(-6.44510 + 1.98805i) q^{75} +(-2.42455 - 0.348749i) q^{76} +(7.68353 - 12.2234i) q^{77} +(-4.62758 + 8.07794i) q^{78} +(0.480987 - 0.277698i) q^{79} +(3.30589 + 1.24632i) q^{80} +(-7.13403 - 2.20056i) q^{81} +(7.00072 - 8.83956i) q^{82} +(-0.496773 + 0.622934i) q^{83} +(1.00205 + 8.39802i) q^{84} +(0.670878 + 0.841254i) q^{85} +(10.1922 - 0.0343402i) q^{86} +(-6.36008 + 0.958627i) q^{87} +(0.997798 - 15.4023i) q^{88} +(-2.21311 + 14.6830i) q^{89} +(-0.532098 - 0.162169i) q^{90} +(-10.8890 - 0.409403i) q^{91} +(-0.636917 - 0.245031i) q^{92} +(3.36424 + 2.29370i) q^{93} +(8.17672 - 0.640472i) q^{94} +(-1.07874 - 0.0808405i) q^{95} +(5.21841 + 7.38362i) q^{96} -12.0344i q^{97} +(-8.16253 + 5.60117i) q^{98} +2.43012i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 312 q - 13 q^{2} - 13 q^{4} - 22 q^{5} - 14 q^{6} - 4 q^{8} - 4 q^{9} - 20 q^{10} + 9 q^{12} - 28 q^{13} - 51 q^{14} - 17 q^{16} - 22 q^{17} - 12 q^{18} - 14 q^{20} - 34 q^{21} - 18 q^{22} - 44 q^{24} - 48 q^{25}+ \cdots + 183 q^{98}+O(q^{100}) $ 312 * q - 13 * q^2 - 13 * q^4 - 22 * q^5 - 14 * q^6 - 4 * q^8 - 4 * q^9 - 20 * q^10 + 9 * q^12 - 28 * q^13 - 51 * q^14 - 17 * q^16 - 22 * q^17 - 12 * q^18 - 14 * q^20 - 34 * q^21 - 18 * q^22 - 44 * q^24 - 48 * q^25 - 2 * q^26 - 36 * q^28 - 11 * q^30 - 13 * q^32 - 34 * q^33 - 98 * q^34 - 4 * q^36 - 58 * q^37 - 18 * q^38 + 30 * q^40 - 28 * q^41 - 26 * q^42 + 16 * q^44 - 28 * q^45 - 14 * q^46 - 24 * q^49 + 96 * q^50 - 14 * q^52 - 22 * q^53 - 17 * q^54 + 40 * q^56 + 34 * q^57 - 12 * q^58 + 98 * q^60 - 38 * q^61 - 4 * q^64 - 32 * q^65 - 176 * q^66 - 21 * q^68 + 28 * q^69 + 50 * q^70 - 120 * q^72 - 58 * q^73 - 14 * q^74 - 91 * q^76 - 18 * q^77 - 112 * q^78 + 66 * q^80 - 170 * q^81 + 114 * q^82 + 140 * q^84 - 24 * q^85 + 97 * q^86 + 127 * q^88 - 82 * q^89 + 266 * q^90 + 34 * q^92 + 226 * q^94 + 122 * q^96 + 183 * q^98

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/196\mathbb{Z}\right)^\times$.

$n$	$99$	$101$
$\chi(n)$	$-1$	$e\left(\frac{1}{42}\right)$

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 $

$2$	0.617894	+	1.27209i	0.436917	+	0.899502i
$2$	0.617894	+	1.27209i	0.436917	+	0.899502i
$3$	−0.119444	+	1.59387i	−0.0689609	+	0.920219i	0.850231	+	0.526409i	$0.176462\pi$
$3$	−0.119444	+	1.59387i	−0.0689609	+	0.920219i	−0.919192	+	0.393809i	$0.871157\pi$
$4$	−1.23641	+	1.57203i	−0.618207	+	0.786015i
$5$	−0.497555	+	0.729779i	−0.222513	+	0.326367i	−0.921221	−	0.389041i	$-0.872807\pi$
$5$	−0.497555	+	0.729779i	−0.222513	+	0.326367i	0.698707	+	0.715408i	$0.253759\pi$
$6$	−2.10134	+	0.832897i	−0.857869	+	0.340029i
$7$	−2.00509	−	1.72615i	−0.757854	−	0.652424i
$7$	−2.00509	−	1.72615i	−0.757854	−	0.652424i
$8$	−2.76373	−	0.601480i	−0.977127	−	0.212655i
$9$	0.440352	+	0.0663724i	0.146784	+	0.0221241i
$10$	−1.23578	−	0.182008i	−0.390788	−	0.0575558i
$11$	0.813315	+	5.39600i	0.245224	+	1.62695i	0.684788	+	0.728743i	$0.259895\pi$
$11$	0.813315	+	5.39600i	0.245224	+	1.62695i	−0.439564	+	0.898211i	$0.644867\pi$
$12$	−2.35792	−	2.15845i	−0.680674	−	0.623090i
$13$	3.22002	−	2.56788i	0.893073	−	0.712202i	−0.0652559	−	0.997869i	$-0.520786\pi$
$13$	3.22002	−	2.56788i	0.893073	−	0.712202i	0.958329	+	0.285666i	$0.0922149\pi$
$14$	0.956882	−	3.61723i	0.255737	−	0.966746i
$15$	−1.10374	−	0.880203i	−0.284984	−	0.227267i
$16$	−0.942558	−	3.88736i	−0.235639	−	0.971841i
$17$	0.359079	−	1.16411i	0.0870894	−	0.282337i	−0.901543	−	0.432689i	$-0.857565\pi$
$17$	0.359079	−	1.16411i	0.0870894	−	0.282337i	0.988632	+	0.150352i	$0.0480409\pi$
$18$	0.187659	+	0.601178i	0.0442317	+	0.141699i
$19$	0.612375	+	1.06066i	0.140489	+	0.243333i	0.927681	−	0.373375i	$-0.121799\pi$
$19$	0.612375	+	1.06066i	0.140489	+	0.243333i	−0.787192	+	0.616708i	$0.788466\pi$
$20$	−0.532050	−	1.68448i	−0.118970	−	0.376661i
$21$	2.99075	−	2.98967i	0.652635	−	0.652400i
$22$	−6.36164	+	4.36876i	−1.35631	+	0.931423i
$23$	0.100574	+	0.326053i	0.0209711	+	0.0679868i	0.965454	−	0.260575i	$-0.0839122\pi$
$23$	0.100574	+	0.326053i	0.0209711	+	0.0679868i	−0.944482	+	0.328562i	$0.893436\pi$
$24$	1.28879	−	4.33318i	0.263073	−	0.884506i
$25$	1.54169	+	3.92816i	0.308338	+	0.785632i
$26$	5.25620	+	2.50947i	1.03083	+	0.492148i
$27$	−1.22537	+	5.36872i	−0.235823	+	1.03321i
$28$	5.19269	−	1.01783i	0.981326	−	0.192351i
$29$	0.895454	+	3.92324i	0.166282	+	0.728528i	0.987462	+	0.157859i	$0.0504590\pi$
$29$	0.895454	+	3.92324i	0.166282	+	0.728528i	−0.821180	+	0.570669i	$0.806684\pi$
$30$	0.437702	−	1.94793i	0.0799130	−	0.355641i
$31$	1.27375	−	2.20619i	0.228772	−	0.396244i	−0.728673	−	0.684862i	$-0.759862\pi$
$31$	1.27375	−	2.20619i	0.228772	−	0.396244i	0.957444	+	0.288618i	$0.0931957\pi$
$32$	4.36267	−	3.60099i	0.771218	−	0.636572i
$33$	−8.69764	+	0.651798i	−1.51406	+	0.113463i
$34$	1.70272	−	0.262513i	0.292013	−	0.0450207i
$35$	2.25735	−	0.604420i	0.381562	−	0.102166i
$36$	−0.648797	+	0.610183i	−0.108133	+	0.101697i
$37$	1.83396	−	1.70167i	0.301501	−	0.279752i	−0.514884	−	0.857260i	$-0.672165\pi$
$37$	1.83396	−	1.70167i	0.301501	−	0.279752i	0.816385	+	0.577507i	$0.195975\pi$
$38$	−0.970876	+	1.43437i	−0.157497	+	0.232686i
$39$	3.70825	+	5.43900i	0.593795	+	0.870937i
$40$	1.81406	−	1.71764i	0.286827	−	0.271583i
$41$	−3.45950	−	7.18372i	−0.540283	−	1.12191i	−0.975177	−	0.221427i	$-0.928928\pi$
$41$	−3.45950	−	7.18372i	−0.540283	−	1.12191i	0.434894	−	0.900482i	$-0.356786\pi$
$42$	5.65109	+	1.95720i	0.871982	+	0.302002i
$43$	3.12699	−	6.49327i	0.476862	−	0.990214i	−0.514307	−	0.857606i	$-0.671951\pi$
$43$	3.12699	−	6.49327i	0.476862	−	0.990214i	0.991169	−	0.132607i	$-0.0423350\pi$
$44$	−9.48826	−	5.39313i	−1.43041	−	0.813045i
$45$	−0.267536	+	0.288336i	−0.0398820	+	0.0429826i
$46$	−0.352624	+	0.329405i	−0.0519916	+	0.0485682i
$47$	2.11880	−	5.39863i	0.309059	−	0.787470i	−0.688974	−	0.724786i	$-0.741939\pi$
$47$	2.11880	−	5.39863i	0.309059	−	0.787470i	0.998033	−	0.0626844i	$-0.0199662\pi$
$48$	6.30851	−	1.03799i	0.910556	−	0.149821i
$49$	1.04080	+	6.92219i	0.148686	+	0.988885i
$50$	−4.04436	+	4.38835i	−0.571959	+	0.620606i
$51$	1.81254	+	0.711368i	0.253806	+	0.0996115i
$52$	0.0555056	+	8.23694i	0.00769725	+	1.14226i
$53$	9.06213	+	8.40843i	1.24478	+	1.15499i	0.981745	+	0.190200i	$0.0609137\pi$
$53$	9.06213	+	8.40843i	1.24478	+	1.15499i	0.263034	+	0.964787i	$0.415277\pi$
$54$	−7.58663	+	1.75851i	−1.03241	+	0.239303i
$55$	−4.34255	−	2.09126i	−0.585550	−	0.281986i
$56$	4.50330	+	5.97665i	0.601778	+	0.798663i
$57$	−1.76370	+	0.849354i	−0.233608	+	0.112500i
$58$	−4.43741	+	3.56324i	−0.582661	+	0.467877i
$59$	10.8021	−	7.36472i	1.40631	−	0.958805i	0.407346	−	0.913274i	$-0.366454\pi$
$59$	10.8021	−	7.36472i	1.40631	−	0.958805i	0.998963	−	0.0455318i	$-0.0144982\pi$
$60$	2.74838	−	0.646816i	0.354815	−	0.0835036i
$61$	−9.76203	−	10.5210i	−1.24990	−	1.34707i	−0.914284	−	0.405073i	$-0.867246\pi$
$61$	−9.76203	−	10.5210i	−1.24990	−	1.34707i	−0.335616	−	0.941999i	$-0.608944\pi$
$62$	3.59351	+	0.257124i	0.456377	+	0.0326548i
$63$	−0.768378	−	0.893198i	−0.0968066	−	0.112532i
$64$	7.27644	+	3.32466i	0.909555	+	0.415583i
$65$	0.271848	+	3.62756i	0.0337186	+	0.449944i
$66$	−6.20336	−	10.6614i	−0.763581	−	1.31233i
$67$	−7.27321	−	4.19919i	−0.888565	−	0.513013i	−0.0150918	−	0.999886i	$-0.504804\pi$
$67$	−7.27321	−	4.19919i	−0.888565	−	0.513013i	−0.873473	+	0.486873i	$0.838137\pi$
$68$	1.38604	+	2.00380i	0.168082	+	0.242996i
$69$	−0.531698	+	0.121357i	−0.0640089	+	0.0146096i
$70$	2.16368	+	2.49808i	0.258609	+	0.298578i
$71$	−3.37318	−	0.769907i	−0.400323	−	0.0913712i	0.0176190	−	0.999845i	$-0.494391\pi$
$71$	−3.37318	−	0.769907i	−0.400323	−	0.0913712i	−0.417942	+	0.908474i	$0.637249\pi$
$72$	−1.17709	−	0.448299i	−0.138722	−	0.0528325i
$73$	−4.13308	+	1.62212i	−0.483741	+	0.189854i	−0.594663	−	0.803975i	$-0.702715\pi$
$73$	−4.13308	+	1.62212i	−0.483741	+	0.189854i	0.110923	+	0.993829i	$0.464619\pi$
$74$	3.29786	+	1.28151i	0.383369	+	0.148972i
$75$	−6.44510	+	1.98805i	−0.744216	+	0.229560i
$76$	−2.42455	−	0.348749i	−0.278115	−	0.0400043i
$77$	7.68353	−	12.2234i	0.875620	−	1.39298i
$78$	−4.62758	+	8.07794i	−0.523970	+	0.914646i
$79$	0.480987	−	0.277698i	0.0541153	−	0.0312435i	−0.472698	−	0.881224i	$-0.656720\pi$
$79$	0.480987	−	0.277698i	0.0541153	−	0.0312435i	0.526814	+	0.849981i	$0.323387\pi$
$80$	3.30589	+	1.24632i	0.369610	+	0.139342i
$81$	−7.13403	−	2.20056i	−0.792670	−	0.244506i
$82$	7.00072	−	8.83956i	0.773100	−	0.976166i
$83$	−0.496773	+	0.622934i	−0.0545280	+	0.0683759i	−0.808348	−	0.588705i	$-0.799638\pi$
$83$	−0.496773	+	0.622934i	−0.0545280	+	0.0683759i	0.753820	+	0.657081i	$0.228209\pi$
$84$	1.00205	+	8.39802i	0.109332	+	0.916299i
$85$	0.670878	+	0.841254i	0.0727669	+	0.0912468i
$86$	10.1922	−	0.0343402i	1.09905	−	0.00370300i
$87$	−6.36008	+	0.958627i	−0.681872	+	0.102776i
$88$	0.997798	−	15.4023i	0.106366	−	1.64189i
$89$	−2.21311	+	14.6830i	−0.234590	+	1.55640i	0.492780	+	0.870154i	$0.335981\pi$
$89$	−2.21311	+	14.6830i	−0.234590	+	1.55640i	−0.727369	+	0.686246i	$0.759257\pi$
$90$	−0.532098	−	0.162169i	−0.0560880	−	0.0170941i
$91$	−10.8890	−	0.409403i	−1.14148	−	0.0429171i
$92$	−0.636917	−	0.245031i	−0.0664031	−	0.0255463i
$93$	3.36424	+	2.29370i	0.348855	+	0.237845i
$94$	8.17672	−	0.640472i	0.843364	−	0.0660596i
$95$	−1.07874	−	0.0808405i	−0.110676	−	0.00829406i
$96$	5.21841	+	7.38362i	0.532601	+	0.753587i
$97$		−	12.0344i		−	1.22191i	−0.791665	−	0.610955i	$-0.790786\pi$
$97$		−	12.0344i		−	1.22191i	0.791665	−	0.610955i	$-0.209214\pi$
$98$	−8.16253	+	5.60117i	−0.824540	+	0.565803i
$99$			2.43012i			0.244236i
$100$	−8.08135	−	2.43325i	−0.808135	−	0.243325i
$101$	3.78147	+	0.283382i	0.376271	+	0.0281976i	0.261523	−	0.965197i	$-0.415775\pi$
$101$	3.78147	+	0.283382i	0.376271	+	0.0281976i	0.114747	+	0.993395i	$0.463394\pi$
$102$	0.215032	+	2.74526i	0.0212914	+	0.271821i
$103$	−1.96126	−	1.33716i	−0.193249	−	0.131755i	0.462831	−	0.886447i	$-0.346834\pi$
$103$	−1.96126	−	1.33716i	−0.193249	−	0.131755i	−0.656079	+	0.754692i	$0.727786\pi$
$104$	−10.4438	+	5.16016i	−1.02410	+	0.505995i
$105$	0.693737	+	3.67011i	0.0677018	+	0.358166i
$106$	−5.09683	+	16.7233i	−0.495047	+	1.62431i
$107$	2.09366	−	13.8905i	0.202401	−	1.34285i	−0.624732	−	0.780840i	$-0.714792\pi$
$107$	2.09366	−	13.8905i	0.202401	−	1.34285i	0.827133	−	0.562006i	$-0.189970\pi$
$108$	−6.92472	−	8.56429i	−0.666331	−	0.824099i
$109$	−15.7400	+	2.37243i	−1.50762	+	0.227237i	−0.850270	−	0.526347i	$-0.823561\pi$
$109$	−15.7400	+	2.37243i	−1.50762	+	0.227237i	−0.657351	+	0.753584i	$0.728323\pi$
$110$	−0.0229659	−	6.81629i	−0.00218972	−	0.649907i
$111$	2.49317	+	3.12634i	0.236642	+	0.296739i
$112$	−4.82026	+	9.42152i	−0.455472	+	0.890250i
$113$	4.66088	−	5.84456i	0.438459	−	0.549810i	−0.512678	−	0.858581i	$-0.671346\pi$
$113$	4.66088	−	5.84456i	0.438459	−	0.549810i	0.951136	+	0.308771i	$0.0999178\pi$
$114$	−2.17023	−	1.71877i	−0.203261	−	0.160978i
$115$	−0.287988	−	0.0888325i	−0.0268550	−	0.00828367i
$116$	−7.27461	−	3.44307i	−0.675430	−	0.319681i
$117$	1.58838	−	0.917051i	0.146846	−	0.0847814i
$118$	16.0431	+	9.19056i	1.47689	+	0.846060i
$119$	−2.72941	+	1.71431i	−0.250204	+	0.157151i
$120$	2.52102	+	3.09652i	0.230136	+	0.282673i
$121$	−17.9440	+	5.53499i	−1.63127	+	0.503181i
$122$	7.35170	−	18.9190i	0.665591	−	1.71285i
$123$	11.8631	−	4.65592i	1.06966	−	0.419811i
$124$	1.89332	+	4.73014i	0.170026	+	0.424779i
$125$	−7.93931	−	1.81209i	−0.710113	−	0.162079i
$126$	0.661449	−	1.52935i	0.0589266	−	0.136245i
$127$	−0.411994	+	0.0940349i	−0.0365586	+	0.00834425i	−0.240761	−	0.970584i	$-0.577397\pi$
$127$	−0.411994	+	0.0940349i	−0.0365586	+	0.00834425i	0.204203	+	0.978929i	$0.434540\pi$
$128$	0.266807	+	11.3106i	0.0235826	+	0.999722i
$129$	9.97589	+	5.75958i	0.878328	+	0.507103i
$130$	−4.44661	+	2.58726i	−0.389993	+	0.226918i
$131$	1.39395	+	18.6010i	0.121790	+	1.62517i	0.638925	+	0.769269i	$0.279380\pi$
$131$	1.39395	+	18.6010i	0.121790	+	1.62517i	−0.517135	+	0.855904i	$0.673001\pi$
$132$	9.72924	−	14.4788i	0.846822	−	1.26022i
$133$	0.602999	−	3.18379i	0.0522867	−	0.276069i
$134$	0.847667	−	11.8468i	0.0732273	−	1.02341i
$135$	−3.30829	−	3.56548i	−0.284732	−	0.306868i
$136$	−1.69258	+	3.00130i	−0.145138	+	0.257359i
$137$	−7.19162	+	4.90316i	−0.614422	+	0.418906i	−0.830144	−	0.557549i	$-0.811742\pi$
$137$	−7.19162	+	4.90316i	−0.614422	+	0.418906i	0.215722	+	0.976455i	$0.430789\pi$
$138$	−0.482909	−	0.601381i	−0.0411079	−	0.0511929i
$139$	−4.88930	+	2.35456i	−0.414705	+	0.199711i	−0.629589	−	0.776928i	$-0.716777\pi$
$139$	−4.88930	+	2.35456i	−0.414705	+	0.199711i	0.214884	+	0.976639i	$0.431063\pi$
$140$	−1.84086	+	4.29594i	−0.155581	+	0.363073i
$141$	8.35160	+	4.02192i	0.703332	+	0.338707i
$142$	−1.10488	−	4.76671i	−0.0927194	−	0.400013i
$143$	16.4752	+	15.2867i	1.37772	+	1.27834i
$144$	−0.157044	−	1.77437i	−0.0130870	−	0.147864i
$145$	−3.30864	−	1.29854i	−0.274767	−	0.107838i
$146$	−4.61728	−	4.25535i	−0.382129	−	0.352175i
$147$	−11.1574	+	0.832083i	−0.920243	+	0.0686291i
$148$	0.407536	+	4.98701i	0.0334992	+	0.409930i
$149$	4.10824	−	10.4676i	0.336560	−	0.857540i	−0.657966	−	0.753048i	$-0.728583\pi$
$149$	4.10824	−	10.4676i	0.336560	−	0.857540i	0.994526	−	0.104493i	$-0.0333218\pi$
$150$	−6.51136	−	6.97033i	−0.531651	−	0.569125i
$151$	5.07321	−	5.46762i	0.412852	−	0.444949i	−0.492051	−	0.870566i	$-0.663753\pi$
$151$	5.07321	−	5.46762i	0.412852	−	0.444949i	0.904903	+	0.425618i	$0.139943\pi$
$152$	−1.05447	−	3.29973i	−0.0855290	−	0.267643i
$153$	0.235386	−	0.488783i	0.0190298	−	0.0395158i
$154$	20.2968	+	2.22138i	1.63556	+	0.179004i
$155$	0.976275	+	2.02726i	0.0784163	+	0.162833i
$156$	−13.1352	−	0.895382i	−1.05166	−	0.0716879i
$157$	6.04626	+	8.86823i	0.482544	+	0.707762i	0.987890	−	0.155155i	$-0.0495876\pi$
$157$	6.04626	+	8.86823i	0.482544	+	0.707762i	−0.505346	+	0.862917i	$0.668635\pi$
$158$	0.650455	+	0.440270i	0.0517474	+	0.0350260i
$159$	−14.4843	+	13.4395i	−1.14868	+	1.06582i
$160$	0.457264	+	4.97547i	0.0361499	+	0.393346i
$161$	0.361157	−	0.827373i	0.0284631	−	0.0652061i
$162$	−1.60877	−	10.4348i	−0.126397	−	0.819837i
$163$	22.7902	−	1.70789i	1.78506	−	0.133772i	0.859203	−	0.511635i	$-0.170960\pi$
$163$	22.7902	−	1.70789i	1.78506	−	0.133772i	0.925862	+	0.377862i	$0.123341\pi$
$164$	15.5704	+	3.44362i	1.21584	+	0.268902i
$165$	3.85188	−	6.67166i	0.299869	−	0.519388i
$166$	−1.09938	−	0.247032i	−0.0853285	−	0.0191734i
$167$	−3.53154	−	15.4727i	−0.273279	−	1.19731i	−0.906116	−	0.423028i	$-0.860967\pi$
$167$	−3.53154	−	15.4727i	−0.273279	−	1.19731i	0.632838	−	0.774284i	$-0.281890\pi$
$168$	−10.0639	+	6.46378i	−0.776444	+	0.498691i
$169$	0.881750	−	3.86320i	0.0678270	−	0.297169i
$170$	−0.655618	+	1.37322i	−0.0502836	+	0.105321i
$171$	0.199262	+	0.507711i	0.0152379	+	0.0388256i
$172$	6.34135	+	12.9441i	0.483523	+	0.986978i
$173$	−1.43963	−	4.66717i	−0.109453	−	0.354838i	0.884231	−	0.467049i	$-0.154683\pi$
$173$	−1.43963	−	4.66717i	−0.109453	−	0.354838i	−0.993684	+	0.112211i	$0.964207\pi$
$174$	−5.14931	−	7.49825i	−0.390368	−	0.568441i
$175$	3.68937	−	10.5375i	0.278890	−	0.796561i
$176$	20.2096	−	8.24769i	1.52336	−	0.621693i
$177$	10.4481	+	18.0967i	0.785330	+	1.36023i
$178$	−20.0456	+	6.25729i	−1.50248	+	0.469004i
$179$	−4.13193	+	13.3954i	−0.308835	+	1.00122i	0.659530	+	0.751679i	$0.270756\pi$
$179$	−4.13193	+	13.3954i	−0.308835	+	1.00122i	−0.968365	+	0.249540i	$0.919721\pi$
$180$	−0.122487	−	0.777078i	−0.00912961	−	0.0579200i
$181$	0.747052	+	0.595754i	0.0555279	+	0.0442820i	0.650861	−	0.759197i	$-0.274408\pi$
$181$	0.747052	+	0.595754i	0.0555279	+	0.0442820i	−0.595333	+	0.803479i	$0.702980\pi$
$182$	−6.20745	−	14.1047i	−0.460127	−	1.04551i
$183$	17.9350	−	14.3027i	1.32579	−	1.05729i
$184$	−0.0818454	−	0.961617i	−0.00603372	−	0.0708914i
$185$	0.329345	+	2.18506i	0.0242139	+	0.160649i
$186$	−0.839044	+	5.69686i	−0.0615217	+	0.417714i
$187$	6.57355	+	0.990803i	0.480706	+	0.0724547i
$188$	5.86708	+	10.0058i	0.427901	+	0.729745i
$189$	11.7242	−	8.64960i	0.852811	−	0.629166i
$190$	−0.563711	−	1.42220i	−0.0408959	−	0.103178i
$191$	−3.64953	+	5.35288i	−0.264071	+	0.387321i	−0.935258	−	0.353967i	$-0.884832\pi$
$191$	−3.64953	+	5.35288i	−0.264071	+	0.387321i	0.671187	+	0.741288i	$0.265785\pi$
$192$	−6.16819	+	11.2006i	−0.445151	+	0.808331i
$193$	−0.103494	+	1.38103i	−0.00744968	+	0.0994090i	−0.999689	−	0.0249327i	$-0.992063\pi$
$193$	−0.103494	+	1.38103i	−0.00744968	+	0.0994090i	0.992239	+	0.124342i	$0.0396819\pi$
$194$	15.3088	−	7.43600i	1.09911	−	0.533873i
$195$	−5.81432			−0.416372
$196$	−12.1688	−	6.92253i	−0.869197	−	0.494466i
$197$	12.5400			0.893439			0.446720	−	0.894674i	$-0.352592\pi$
$197$	12.5400			0.893439			0.446720	+	0.894674i	$0.352592\pi$
$198$	−3.09133	+	1.50156i	−0.219691	+	0.106711i
$199$	−0.719642	+	9.60296i	−0.0510141	+	0.680736i	0.911811	+	0.410610i	$0.134684\pi$
$199$	−0.719642	+	9.60296i	−0.0510141	+	0.680736i	−0.962825	+	0.270126i	$0.912935\pi$
$200$	−1.89811	−	11.7837i	−0.134216	−	0.833232i
$201$	7.56169	−	11.0910i	0.533360	−	0.782296i
$202$	1.97606	+	4.98546i	0.139035	+	0.350776i
$203$	4.97664	−	9.41216i	0.349292	−	0.660604i
$204$	−3.35934	+	1.96982i	−0.235201	+	0.137915i
$205$	6.96382	+	1.04963i	0.486374	+	0.0733091i
$206$	0.489140	−	3.32112i	0.0340800	−	0.231393i
$207$	0.0226471	+	0.150254i	0.00157408	+	0.0104433i
$208$	−13.0173	−	10.0970i	−0.902590	−	0.700102i
$209$	−5.22529	+	4.16703i	−0.361441	+	0.288239i
$210$	−4.24005	+	3.15023i	−0.292591	+	0.217387i
$211$	−15.9717	−	12.7370i	−1.09954	−	0.876851i	−0.106460	−	0.994317i	$-0.533952\pi$
$211$	−15.9717	−	12.7370i	−1.09954	−	0.876851i	−0.993077	+	0.117466i	$0.962523\pi$
$212$	−24.4229	+	3.84964i	−1.67737	+	0.264394i
$213$	1.63003	−	5.28444i	0.111688	−	0.362084i
$214$	18.9636	−	5.91954i	1.29632	−	0.404651i
$215$	3.18280	+	5.51277i	0.217065	+	0.375968i
$216$	6.61579	−	14.1007i	0.450147	−	0.959429i
$217$	−6.36221	+	2.22495i	−0.431895	+	0.151039i
$218$	−12.7436	−	18.5568i	−0.863106	−	1.25682i
$219$	−2.09176	−	6.78133i	−0.141348	−	0.458240i
$220$	8.65672	−	4.24095i	0.583636	−	0.285925i
$221$	−1.83304	−	4.67051i	−0.123304	−	0.314173i
$222$	−2.43646	+	5.10328i	−0.163525	+	0.342510i
$223$	−2.02839	+	8.88697i	−0.135831	+	0.595115i	0.860494	+	0.509461i	$0.170155\pi$
$223$	−2.02839	+	8.88697i	−0.135831	+	0.595115i	−0.996325	+	0.0856544i	$0.972702\pi$
$224$	−14.9634	−	0.310294i	−0.999785	−	0.0207324i
$225$	0.418165	+	1.83210i	0.0278776	+	0.122140i
$226$	10.3147	+	2.31773i	0.686125	+	0.154173i
$227$	1.31851	−	2.28373i	0.0875126	−	0.151576i	−0.818947	−	0.573870i	$-0.805442\pi$
$227$	1.31851	−	2.28373i	0.0875126	−	0.151576i	0.906459	+	0.422294i	$0.138775\pi$
$228$	0.845456	−	3.82275i	0.0559917	−	0.253168i
$229$	28.4642	−	2.13310i	1.88097	−	0.140959i	0.915641	−	0.401997i	$-0.131684\pi$
$229$	28.4642	−	2.13310i	1.88097	−	0.140959i	0.965328	+	0.261038i	$0.0840648\pi$
$230$	−0.0649432	−	0.421235i	−0.00428223	−	0.0277754i
$231$	18.5647	+	13.7065i	1.22147	+	0.901823i
$232$	−0.115045	−	11.3814i	−0.00755305	−	0.747225i
$233$	14.6878	−	13.6283i	0.962228	−	0.892817i	−0.0320663	−	0.999486i	$-0.510209\pi$
$233$	14.6878	−	13.6283i	0.962228	−	0.892817i	0.994295	+	0.106668i	$0.0340183\pi$
$234$	2.14802	+	1.45392i	0.140420	+	0.0950456i
$235$	2.88558	+	4.23237i	0.188235	+	0.276089i
$236$	−1.77826	+	26.0870i	−0.115755	+	1.69812i
$237$	0.385162	+	0.799798i	0.0250190	+	0.0519525i
$238$	−3.86724	−	2.41278i	−0.250676	−	0.156397i
$239$	−3.83514	+	7.96375i	−0.248075	+	0.515132i	−0.987405	−	0.158210i	$-0.949428\pi$
$239$	−3.83514	+	7.96375i	−0.248075	+	0.515132i	0.739331	+	0.673342i	$0.235142\pi$
$240$	−2.38133	+	5.12028i	−0.153714	+	0.330512i
$241$	−16.5588	+	17.8461i	−1.06665	+	1.14957i	−0.0783642	+	0.996925i	$0.524970\pi$
$241$	−16.5588	+	17.8461i	−1.06665	+	1.14957i	−0.988281	+	0.152645i	$0.951221\pi$
$242$	−18.1285	−	19.4063i	−1.16534	−	1.24748i
$243$	−1.67606	+	4.27053i	−0.107519	+	0.273954i
$244$	28.6092	−	2.33793i	1.83152	−	0.149671i
$245$	−5.56952	−	2.68462i	−0.355824	−	0.171514i
$246$	13.2529	+	12.2140i	0.844973	+	0.778739i
$247$	4.69552	+	1.84286i	0.298769	+	0.117258i
$248$	−4.84728	+	5.33120i	−0.307802	+	0.338531i
$249$	−0.933537	−	0.866196i	−0.0591605	−	0.0548929i
$250$	−2.60050	−	11.2192i	−0.164470	−	0.709563i
$251$	−3.80251	−	1.83119i	−0.240012	−	0.115584i	0.310012	−	0.950733i	$-0.399667\pi$
$251$	−3.80251	−	1.83119i	−0.240012	−	0.115584i	−0.550024	+	0.835149i	$0.685381\pi$
$252$	2.35417	−	0.103552i	0.148299	−	0.00652314i
$253$	−1.67758	+	0.807881i	−0.105469	+	0.0507911i
$254$	−0.374189	−	0.465989i	−0.0234787	−	0.0292387i
$255$	−1.42098	+	0.968806i	−0.0889851	+	0.0606690i
$256$	−14.2232	+	7.32813i	−0.888948	+	0.458008i
$257$	−0.405675	−	0.437214i	−0.0253053	−	0.0272727i	0.720272	−	0.693691i	$-0.244017\pi$
$257$	−0.405675	−	0.437214i	−0.0253053	−	0.0272727i	−0.745578	+	0.666419i	$0.767826\pi$
$258$	−1.16265	+	16.2490i	−0.0723837	+	1.01162i
$259$	−6.61460	+	0.246307i	−0.411011	+	0.0153048i
$260$	−6.03876	−	4.05782i	−0.374508	−	0.251655i
$261$	0.133920	+	1.78704i	0.00828946	+	0.110615i
$262$	−22.8007	+	13.2666i	−1.40863	+	0.819616i
$263$	−3.82272	−	2.20705i	−0.235719	−	0.136093i	0.377488	−	0.926014i	$-0.376788\pi$
$263$	−3.82272	−	2.20705i	−0.235719	−	0.136093i	−0.613208	+	0.789922i	$0.710121\pi$
$264$	24.4300	+	3.43006i	1.50356	+	0.211106i
$265$	−10.6452	+	2.42970i	−0.653929	+	0.149255i
$266$	4.42264	−	1.20017i	0.271170	−	0.0735873i
$267$	−23.1385	−	5.28120i	−1.41605	−	0.323204i
$268$	15.5940	−	6.24177i	0.952553	−	0.381277i
$269$	−2.38339	+	0.935410i	−0.145318	+	0.0570329i	−0.436885	−	0.899517i	$-0.643918\pi$
$269$	−2.38339	+	0.935410i	−0.145318	+	0.0570329i	0.291568	+	0.956550i	$0.405823\pi$
$270$	2.49144	−	6.41152i	0.151624	−	0.390193i
$271$	26.0334	−	8.03024i	1.58142	−	0.487802i	0.625200	−	0.780464i	$-0.285017\pi$
$271$	26.0334	−	8.03024i	1.58142	−	0.487802i	0.956216	+	0.292662i	$0.0945410\pi$
$272$	−4.86375	−	0.298633i	−0.294908	−	0.0181073i
$273$	1.95316	−	17.3067i	0.118210	−	1.04745i
$274$	−10.6809	−	6.11874i	−0.645258	−	0.369646i
$275$	−19.9424	+	11.5138i	−1.20257	+	0.694307i
$276$	0.466623	−	0.985892i	0.0280874	−	0.0593437i
$277$	−22.0821	−	6.81142i	−1.32678	−	0.409258i	−0.451242	−	0.892402i	$-0.649019\pi$
$277$	−22.0821	−	6.81142i	−1.32678	−	0.409258i	−0.875541	+	0.483143i	$0.839495\pi$
$278$	−6.01627	−	4.76475i	−0.360832	−	0.285770i
$279$	0.707328	−	0.886961i	0.0423466	−	0.0531009i
$280$	−6.60227	+	0.312702i	−0.394561	+	0.0186875i
$281$	−10.9612	−	13.7449i	−0.653889	−	0.819951i	0.338773	−	0.940868i	$-0.389988\pi$
$281$	−10.9612	−	13.7449i	−0.653889	−	0.819951i	−0.992663	+	0.120917i	$0.961417\pi$
$282$	0.0441681	+	13.1091i	0.00263017	+	0.780635i
$283$	−4.26535	+	0.642897i	−0.253548	+	0.0382163i	−0.274587	−	0.961562i	$-0.588541\pi$
$283$	−4.26535	+	0.642897i	−0.253548	+	0.0382163i	0.0210381	+	0.999779i	$0.493303\pi$
$284$	5.38097	−	4.35082i	0.319302	−	0.258174i
$285$	0.257698	−	1.70971i	0.0152647	−	0.101275i
$286$	−9.26615	+	30.4034i	−0.547919	+	1.79779i
$287$	−5.46358	+	20.3757i	−0.322505	+	1.20274i
$288$	2.16012	−	1.29614i	0.127286	−	0.0763761i
$289$	12.8199	+	8.74043i	0.754109	+	0.514143i
$290$	−0.392524	−	5.01124i	−0.0230498	−	0.294270i
$291$	19.1813	+	1.43744i	1.12442	+	0.0842640i
$292$	2.56019	−	8.50294i	0.149824	−	0.497597i
$293$			30.4444i			1.77858i	0.457340	+	0.889292i	$0.348802\pi$
$293$			30.4444i			1.77858i	−0.457340	+	0.889292i	$0.651198\pi$
$294$	−7.95255	−	13.6790i	−0.463802	−	0.797776i
$295$			11.5475i			0.672320i
$296$	−6.09210	+	3.59986i	−0.354096	+	0.209238i
$297$	−29.9662	−	2.24566i	−1.73881	−	0.130306i
$298$	15.8542	−	1.24184i	0.918408	−	0.0719377i
$299$	1.16112	+	0.791636i	0.0671491	+	0.0457815i
$300$	4.84354	−	12.5899i	0.279642	−	0.726881i
$301$	−17.4783	+	7.62194i	−1.00743	+	0.439321i
$302$	10.0900	+	3.07516i	0.580614	+	0.176956i
$303$	−0.903346	+	5.99331i	−0.0518959	+	0.344307i
$304$	3.54599	−	3.38026i	0.203376	−	0.193871i
$305$	12.5351	−	1.88937i	0.717759	−	0.108185i
$306$	0.767219	−	0.00258497i	0.0438590	−	0.000147773i
$307$	8.29733	+	10.4045i	0.473554	+	0.593817i	0.960037	−	0.279872i	$-0.0902921\pi$
$307$	8.29733	+	10.4045i	0.473554	+	0.593817i	−0.486484	+	0.873690i	$0.661721\pi$
$308$	9.71549	+	27.1919i	0.553592	+	1.54940i
$309$	2.36552	−	2.96627i	0.134570	−	0.168745i
$310$	−1.97561	+	2.49454i	−0.112207	+	0.141680i
$311$	−29.2174	−	9.01236i	−1.65676	−	0.511044i	−0.681450	−	0.731865i	$-0.738650\pi$
$311$	−29.2174	−	9.01236i	−1.65676	−	0.511044i	−0.975314	+	0.220821i	$0.929126\pi$
$312$	−6.97715	−	17.2624i	−0.395004	−	0.977290i
$313$	−21.5015	+	12.4139i	−1.21533	+	0.701674i	−0.963917	−	0.266205i	$-0.914230\pi$
$313$	−21.5015	+	12.4139i	−1.21533	+	0.701674i	−0.251418	+	0.967879i	$0.580897\pi$
$314$	−7.54523	+	13.1710i	−0.425802	+	0.743283i
$315$	1.03415	−	0.116332i	0.0582676	−	0.00655454i
$316$	−0.158150	+	1.09948i	−0.00889662	+	0.0618504i
$317$	−11.9497	+	3.68600i	−0.671163	+	0.207026i	−0.611563	−	0.791196i	$-0.709459\pi$
$317$	−11.9497	+	3.68600i	−0.671163	+	0.207026i	−0.0596001	+	0.998222i	$0.518983\pi$
$318$	−26.0460	−	10.1212i	−1.46059	−	0.567566i
$319$	−20.4415	+	8.02270i	−1.14450	+	0.449185i
$320$	−6.04670	+	3.65599i	−0.338021	+	0.204376i
$321$	21.8895	+	4.99614i	1.22175	+	0.278857i
$322$	1.27565	−	0.0518056i	0.0710891	−	0.00288701i
$323$	1.45462	−	0.332007i	0.0809370	−	0.0184733i
$324$	12.2800	−	8.49411i	0.682220	−	0.471895i
$325$	15.0513	+	8.68988i	0.834897	+	0.482028i
$326$	16.2545	+	27.9358i	0.900253	+	1.54722i
$327$	−1.90128	−	25.3709i	−0.105141	−	1.40301i
$328$	5.24026	+	21.9347i	0.289345	+	1.21114i
$329$	−13.5672	+	7.16737i	−0.747987	+	0.395150i
$330$	10.8670	+	0.777558i	0.598208	+	0.0428031i
$331$	−7.15641	−	7.71277i	−0.393352	−	0.423932i	0.505062	−	0.863083i	$-0.331470\pi$
$331$	−7.15641	−	7.71277i	−0.393352	−	0.423932i	−0.898413	+	0.439151i	$0.855279\pi$
$332$	−0.365053	−	1.55115i	−0.0200349	−	0.0851303i
$333$	0.920532	−	0.627608i	0.0504449	−	0.0343927i
$334$	17.5005	−	14.0529i	0.957585	−	0.768941i
$335$	6.68330	−	3.21851i	0.365148	−	0.175846i
$336$	−14.4409	−	8.80819i	−0.787815	−	0.480526i
$337$	10.5303	+	5.07113i	0.573622	+	0.276242i	0.698123	−	0.715978i	$-0.254019\pi$
$337$	10.5303	+	5.07113i	0.573622	+	0.276242i	−0.124501	+	0.992219i	$0.539733\pi$
$338$	5.45916	−	1.26538i	0.296939	−	0.0688278i
$339$	8.75872	+	8.12691i	0.475709	+	0.441393i
$340$	−2.15196	+	0.0145013i	−0.116706	+	0.000786441i
$341$	12.9406	+	5.07880i	0.700771	+	0.275032i
$342$	−0.522730	+	0.567190i	−0.0282660	+	0.0306701i
$343$	9.86185	−	15.6762i	0.532490	−	0.846436i
$344$	−12.5477	+	16.0648i	−0.676529	+	0.866158i
$345$	0.175985	−	0.448403i	0.00947473	−	0.0241412i
$346$	5.04751	−	4.71515i	0.271356	−	0.253488i
$347$	1.48861	−	1.60434i	0.0799128	−	0.0861255i	−0.691830	−	0.722061i	$-0.743195\pi$
$347$	1.48861	−	1.60434i	0.0799128	−	0.0861255i	0.771742	+	0.635935i	$0.219386\pi$
$348$	6.35670	−	11.1835i	0.340755	−	0.599498i
$349$	5.43954	−	11.2953i	0.291172	−	0.604625i	−0.703150	−	0.711042i	$-0.748224\pi$
$349$	5.43954	−	11.2953i	0.291172	−	0.604625i	0.994322	+	0.106417i	$0.0339379\pi$
$350$	15.6843	−	1.81786i	0.838360	−	0.0971689i
$351$	9.84050	+	20.4340i	0.525247	+	1.09069i
$352$	22.9792	+	20.6122i	1.22479	+	1.09863i
$353$	−6.74000	−	9.88576i	−0.358734	−	0.526166i	0.603869	−	0.797084i	$-0.293625\pi$
$353$	−6.74000	−	9.88576i	−0.358734	−	0.526166i	−0.962602	+	0.270918i	$0.912673\pi$
$354$	−16.5648	+	24.4728i	−0.880407	+	1.30071i
$355$	2.24021	−	2.07861i	0.118898	−	0.110321i
$356$	−20.3459	−	21.6334i	−1.07833	−	1.14657i
$357$	−2.40638	−	4.55507i	−0.127359	−	0.241080i
$358$	−19.5932	+	3.02075i	−1.03553	+	0.159652i
$359$	10.8826	−	0.815538i	0.574362	−	0.0430424i	0.215617	−	0.976478i	$-0.430824\pi$
$359$	10.8826	−	0.815538i	0.574362	−	0.0430424i	0.358745	+	0.933436i	$0.383205\pi$
$360$	0.912828	−	0.635965i	0.0481102	−	0.0335183i
$361$	8.74999	−	15.1554i	0.460526	−	0.797654i
$362$	−0.296253	+	1.31843i	−0.0155707	+	0.0692950i
$363$	−6.67873	−	29.2614i	−0.350542	−	1.53583i
$364$	14.1069	−	16.6116i	0.739403	−	0.870686i
$365$	0.872649	−	3.82333i	0.0456766	−	0.200122i
$366$	29.2762	+	13.9774i	1.53029	+	0.730609i
$367$	−12.0474	−	30.6964i	−0.628871	−	1.60234i	−0.788412	−	0.615147i	$-0.789097\pi$
$367$	−12.0474	−	30.6964i	−0.628871	−	1.60234i	0.159541	−	0.987191i	$-0.448999\pi$
$368$	1.17269	−	0.698292i	0.0611307	−	0.0364010i
$369$	−1.04660	−	3.39298i	−0.0544836	−	0.176632i
$370$	−2.57609	+	1.76909i	−0.133924	+	0.0919706i
$371$	−3.65620	−	32.5023i	−0.189820	−	1.68744i
$372$	−7.76535	+	2.45272i	−0.402615	+	0.127168i
$373$	−13.9526	−	24.1666i	−0.722438	−	1.25130i	−0.960020	−	0.279931i	$-0.909688\pi$
$373$	−13.9526	−	24.1666i	−0.722438	−	1.25130i	0.237582	−	0.971367i	$-0.423645\pi$
$374$	2.80137	+	8.97434i	0.144855	+	0.464052i
$375$	3.83654	−	12.4377i	0.198118	−	0.642282i
$376$	−9.10298	+	13.6459i	−0.469450	+	0.703736i
$377$	12.9578	+	10.3335i	0.667361	+	0.532202i
$378$	18.2474	+	9.56969i	0.938543	+	0.492212i
$379$	13.7610	−	10.9740i	0.706854	−	0.563697i	−0.202721	−	0.979237i	$-0.564978\pi$
$379$	13.7610	−	10.9740i	0.706854	−	0.563697i	0.909575	+	0.415539i	$0.136407\pi$
$380$	1.46085	−	1.59586i	0.0749403	−	0.0818659i
$381$	−0.100669	−	0.667895i	−0.00515743	−	0.0342173i
$382$	−9.06435	−	1.33501i	−0.463773	−	0.0683052i
$383$	−28.8787	−	4.35276i	−1.47563	−	0.222416i	−0.638587	−	0.769550i	$-0.720481\pi$
$383$	−28.8787	−	4.35276i	−1.47563	−	0.222416i	−0.837045	+	0.547134i	$0.815719\pi$
$384$	−18.0594	−	0.925721i	−0.921589	−	0.0472405i
$385$	5.09739	+	11.6891i	0.259787	+	0.595731i
$386$	−1.82075	+	0.721679i	−0.0926735	+	0.0367325i
$387$	1.80795	−	2.65178i	0.0919033	−	0.134797i
$388$	18.9185	+	14.8795i	0.960440	+	0.755394i
$389$	−0.669578	+	8.93490i	−0.0339490	+	0.453017i	0.954164	+	0.299285i	$0.0967483\pi$
$389$	−0.669578	+	8.93490i	−0.0339490	+	0.453017i	−0.988113	+	0.153732i	$0.950871\pi$
$390$	−3.59263	−	7.39633i	−0.181920	−	0.374528i
$391$	0.415674			0.0210215
$392$	1.28707	−	19.7571i	0.0650067	−	0.997885i
$393$	−29.8139			−1.50391
$394$	7.74840	+	15.9520i	0.390359	+	0.803651i
$395$	−0.0366593	+	0.489184i	−0.00184453	+	0.0246135i
$396$	−3.82022	−	3.00464i	−0.191973	−	0.150989i
$397$	3.28355	−	4.81609i	0.164797	−	0.241712i	−0.734954	−	0.678117i	$-0.762796\pi$
$397$	3.28355	−	4.81609i	0.164797	−	0.241712i	0.899750	+	0.436405i	$0.143748\pi$
$398$	−12.6605	+	5.01816i	−0.634612	+	0.251538i
$399$	5.00250	+	1.34138i	0.250438	+	0.0671531i
$400$	13.8170	−	9.69562i	0.690852	−	0.484781i
$401$	24.8714	+	3.74875i	1.24202	+	0.187204i	0.736992	−	0.675901i	$-0.236245\pi$
$401$	24.8714	+	3.74875i	1.24202	+	0.187204i	0.505024	+	0.863105i	$0.331484\pi$
$402$	18.7810	+	2.76610i	0.936711	+	0.137960i
$403$	−1.56375	−	10.3748i	−0.0778961	−	0.516807i
$404$	−5.12095	+	5.59421i	−0.254777	+	0.278322i
$405$	5.15549	−	4.11136i	0.256178	−	0.204295i
$406$	15.0481	+	0.515011i	0.746826	+	0.0255596i
$407$	10.6738	+	8.51205i	0.529079	+	0.421927i
$408$	−4.58150	−	3.05624i	−0.226818	−	0.151306i
$409$	5.09769	−	16.5263i	0.252065	−	0.817174i	−0.737782	−	0.675039i	$-0.764127\pi$
$409$	5.09769	−	16.5263i	0.252065	−	0.817174i	0.989847	−	0.142135i	$-0.0453968\pi$
$410$	2.96768	+	9.50714i	0.146563	+	0.469524i
$411$	−6.95599	−	12.0481i	−0.343114	−	0.594290i
$412$	4.52699	−	1.42987i	0.223029	−	0.0704446i
$413$	−34.3718	−	3.87905i	−1.69133	−	0.190875i
$414$	−0.177142	+	0.121650i	−0.00870606	+	0.00597876i
$415$	−0.207432	−	0.672479i	−0.0101824	−	0.0330107i
$416$	4.80095	−	22.7981i	0.235386	−	1.11777i
$417$	−3.16886	−	8.07412i	−0.155180	−	0.395391i
$418$	−8.52950	−	4.07225i	−0.417191	−	0.199180i
$419$	−6.60378	+	28.9330i	−0.322616	+	1.41347i	0.510265	+	0.860017i	$0.329547\pi$
$419$	−6.60378	+	28.9330i	−0.322616	+	1.41347i	−0.832880	+	0.553453i	$0.813310\pi$
$420$	−6.62727	−	3.44720i	−0.323378	−	0.168206i
$421$	0.0610675	+	0.267554i	0.00297625	+	0.0130398i	0.976394	−	0.215996i	$-0.0692998\pi$
$421$	0.0610675	+	0.267554i	0.00297625	+	0.0130398i	−0.973418	+	0.229036i	$0.926443\pi$
$422$	6.33377	−	28.1875i	0.308323	−	1.37215i
$423$	1.29134	−	2.23667i	0.0627871	−	0.108750i
$424$	−19.9878	−	28.6894i	−0.970694	−	1.39328i
$425$	5.12638	−	0.384169i	0.248666	−	0.0186349i
$426$	7.72946	−	1.19168i	0.374494	−	0.0577369i
$427$	1.41300	+	37.9463i	0.0683798	+	1.83635i
$428$	19.2477	+	20.4657i	0.930371	+	0.989248i
$429$	−26.3328	+	24.4333i	−1.27136	+	1.17965i
$430$	−5.04609	+	7.45510i	−0.243344	+	0.359517i
$431$	−4.81863	−	7.06763i	−0.232105	−	0.340436i	0.692462	−	0.721454i	$-0.256526\pi$
$431$	−4.81863	−	7.06763i	−0.232105	−	0.340436i	−0.924568	+	0.381018i	$0.875574\pi$
$432$	22.0251	−	0.296852i	1.05968	−	0.0142823i
$433$	−6.58711	−	13.6783i	−0.316556	−	0.657336i	0.680604	−	0.732652i	$-0.261718\pi$
$433$	−6.58711	−	13.6783i	−0.316556	−	0.657336i	−0.997160	+	0.0753163i	$0.976003\pi$
$434$	−6.76149	−	6.71851i	−0.324562	−	0.322499i
$435$	2.46490	−	5.11842i	0.118183	−	0.245409i
$436$	15.7317	−	27.6771i	0.753411	−	1.32549i
$437$	−0.284244	+	0.306342i	−0.0135972	+	0.0146543i
$438$	7.33396	−	6.85105i	0.350430	−	0.327356i
$439$	8.90506	−	22.6897i	0.425015	−	1.08292i	−0.544689	−	0.838638i	$-0.683352\pi$
$439$	8.90506	−	22.6897i	0.425015	−	1.08292i	0.969704	−	0.244283i	$-0.0785526\pi$
$440$	10.7438	+	8.39165i	0.512191	+	0.400056i
$441$	−0.00112396	+	3.11728i	−5.35219e−5	+	0.148442i
$442$	4.80868	−	5.21767i	0.228726	−	0.248179i
$443$	17.9766	+	7.05530i	0.854095	+	0.335207i	0.751675	−	0.659534i	$-0.229246\pi$
$443$	17.9766	+	7.05530i	0.854095	+	0.335207i	0.102420	+	0.994741i	$0.467341\pi$
$444$	−7.99730	+	0.0538908i	−0.379535	+	0.00255754i
$445$	−9.61423	−	8.92070i	−0.455758	−	0.422882i
$446$	−12.5583	+	2.91091i	−0.594654	+	0.137836i
$447$	16.1933	+	7.79826i	0.765915	+	0.368845i
$448$	−8.85108	−	19.2265i	−0.418174	−	0.908367i
$449$	6.50702	−	3.13361i	0.307085	−	0.147884i	−0.273994	−	0.961731i	$-0.588345\pi$
$449$	6.50702	−	3.13361i	0.307085	−	0.147884i	0.581079	+	0.813847i	$0.302631\pi$
$450$	−2.07221	+	1.66398i	−0.0976849	+	0.0784410i
$451$	35.9497	−	24.5101i	1.69280	−	1.15413i
$452$	3.42504	+	14.5533i	0.161100	+	0.684531i
$453$	8.10869	+	8.73909i	0.380980	+	0.410598i
$454$	3.71980	+	0.266160i	0.174579	+	0.0124915i
$455$	5.71665	−	7.74286i	0.268000	−	0.362991i
$456$	5.38527	−	1.28656i	0.252188	−	0.0602485i
$457$	−0.864267	−	11.5328i	−0.0404287	−	0.539484i	−0.980243	−	0.197798i	$-0.936621\pi$
$457$	−0.864267	−	11.5328i	−0.0404287	−	0.539484i	0.939814	−	0.341686i	$-0.110998\pi$
$458$	20.3014	+	34.8910i	0.948620	+	1.63035i
$459$	5.80975	+	3.35426i	0.271176	+	0.156563i
$460$	0.495720	−	0.342892i	0.0231130	−	0.0159874i
$461$	−37.4404	+	8.54554i	−1.74378	+	0.398005i	−0.971454	−	0.237227i	$-0.923761\pi$
$461$	−37.4404	+	8.54554i	−1.74378	+	0.398005i	−0.772321	+	0.635232i	$0.780904\pi$
$462$	−5.96490	+	32.0851i	−0.277512	+	1.49273i
$463$	−7.21632	−	1.64708i	−0.335371	−	0.0765463i	0.0515193	−	0.998672i	$-0.483594\pi$
$463$	−7.21632	−	1.64708i	−0.335371	−	0.0765463i	−0.386890	+	0.922126i	$0.626451\pi$
$464$	14.4070	−	7.17884i	0.668830	−	0.333269i
$465$	−3.34778	+	1.31391i	−0.155250	+	0.0609310i
$466$	26.4118	+	10.2633i	1.22350	+	0.475439i
$467$	11.2189	−	3.46057i	0.519148	−	0.160136i	−0.0240979	−	0.999710i	$-0.507671\pi$
$467$	11.2189	−	3.46057i	0.519148	−	0.160136i	0.543246	+	0.839574i	$0.317195\pi$
$468$	−0.522263	+	3.63084i	−0.0241416	+	0.167835i
$469$	7.33503	+	20.9744i	0.338700	+	0.968510i
$470$	−3.60096	+	6.28587i	−0.166100	+	0.289945i
$471$	−14.8570	+	8.57767i	−0.684573	+	0.395238i
$472$	−34.2838	+	13.8569i	−1.57804	+	0.637816i
$473$	37.5809	+	11.5922i	1.72797	+	0.533008i
$474$	−0.779424	+	0.984151i	−0.0358001	+	0.0452035i
$475$	−3.22237	+	4.04072i	−0.147852	+	0.185401i
$476$	0.679726	−	6.41032i	0.0311552	−	0.293816i
$477$	3.43244	+	4.30415i	0.157161	+	0.197073i
$478$	−12.5003	+	0.0421169i	−0.571750	+	0.00192638i
$479$	−21.6097	+	3.25713i	−0.987370	+	0.148822i	−0.622823	−	0.782363i	$-0.714014\pi$
$479$	−21.6097	+	3.25713i	−0.987370	+	0.148822i	−0.364547	+	0.931185i	$0.618776\pi$
$480$	−7.98485	+	0.134528i	−0.364457	+	0.00614033i
$481$	1.53571	−	10.1888i	0.0700225	−	0.464569i
$482$	−32.9334	−	10.0372i	−1.50008	−	0.457183i
$483$	1.27558	+	0.674460i	0.0580411	+	0.0306890i
$484$	13.4850	−	35.0520i	0.612956	−	1.59327i
$485$	8.78247	+	5.98778i	0.398791	+	0.271891i
$486$	−6.46811	+	0.506639i	−0.293400	+	0.0229816i
$487$	−29.5389	−	2.21364i	−1.33854	−	0.100310i	−0.613869	−	0.789408i	$-0.710388\pi$
$487$	−29.5389	−	2.21364i	−1.33854	−	0.100310i	−0.724668	+	0.689098i	$0.758007\pi$
$488$	20.6515	+	34.9488i	0.934849	+	1.58206i
$489$			36.5285i			1.65188i
$490$	−0.0263074	−	8.74373i	−0.00118845	−	0.395001i
$491$			15.8130i			0.713629i	0.934175	+	0.356815i	$0.116137\pi$
$491$			15.8130i			0.713629i	−0.934175	+	0.356815i	$0.883863\pi$
$492$	−7.34846	+	24.4058i	−0.331294	+	1.10030i
$493$	4.88860	+	0.366350i	0.220172	+	0.0164996i
$494$	0.557059	+	7.11181i	0.0250632	+	0.319975i
$495$	−1.77345	−	1.20912i	−0.0797106	−	0.0543458i
$496$	−9.77686	−	2.87205i	−0.438994	−	0.128959i
$497$	5.43457	+	7.36636i	0.243774	+	0.330426i
$498$	0.525050	−	1.72276i	0.0235281	−	0.0771986i
$499$	−1.77171	+	11.7545i	−0.0793127	+	0.526205i	0.913530	+	0.406772i	$0.133346\pi$
$499$	−1.77171	+	11.7545i	−0.0793127	+	0.526205i	−0.992842	+	0.119433i	$0.961892\pi$
$500$	12.6649	−	10.2403i	0.566393	−	0.457961i
$501$	25.0832	−	3.78069i	1.12064	−	0.168909i
$502$	−0.0201099	−	5.96861i	−0.000897548	−	0.266392i
$503$	15.3531	+	19.2521i	0.684559	+	0.858410i	0.995765	−	0.0919322i	$-0.0293043\pi$
$503$	15.3531	+	19.2521i	0.684559	+	0.858410i	−0.311206	+	0.950343i	$0.600733\pi$
$504$	1.58635	+	2.93072i	0.0706617	+	0.130545i
$505$	−2.08830	+	2.61864i	−0.0929279	+	0.116528i
$506$	−2.06426	−	1.63485i	−0.0917677	−	0.0726778i
$507$	6.05210	+	1.86683i	0.268783	+	0.0829087i
$508$	0.361570	−	0.763933i	0.0160421	−	0.0338941i
$509$	−8.18626	+	4.72634i	−0.362849	+	0.209491i	−0.670330	−	0.742063i	$-0.733847\pi$
$509$	−8.18626	+	4.72634i	−0.362849	+	0.209491i	0.307481	+	0.951554i	$0.400514\pi$
$510$	−2.11042	−	1.20899i	−0.0934510	−	0.0535349i
$511$	11.0872	+	3.88183i	0.490470	+	0.171722i
$512$	−18.1104	−	13.5651i	−0.800375	−	0.599499i
$513$	−6.44480	+	1.98796i	−0.284545	+	0.0877705i
$514$	0.305510	−	0.786206i	0.0134755	−	0.0346781i
$515$	1.95167	−	0.765973i	0.0860007	−	0.0337528i
$516$	−21.3886	+	8.56117i	−0.941580	+	0.376884i
$517$	30.8542	+	7.04227i	1.35697	+	0.309719i
$518$	−4.40044	−	8.26216i	−0.193344	−	0.363018i
$519$	7.61079	−	1.73711i	0.334077	−	0.0762508i
$520$	1.43059	−	10.1891i	0.0627356	−	0.446823i
$521$	−10.6822	−	6.16737i	−0.467995	−	0.270197i	0.247405	−	0.968912i	$-0.420422\pi$
$521$	−10.6822	−	6.16737i	−0.467995	−	0.270197i	−0.715400	+	0.698715i	$0.753756\pi$
$522$	−2.19053	+	1.27456i	−0.0958767	+	0.0557860i
$523$	1.84735	+	24.6512i	0.0807792	+	1.07792i	0.879398	+	0.476086i	$0.157945\pi$
$523$	1.84735	+	24.6512i	0.0807792	+	1.07792i	−0.798619	+	0.601837i	$0.794436\pi$
$524$	−30.9648	−	20.8072i	−1.35270	−	0.908965i
$525$	16.3547	+	7.13900i	0.713778	+	0.311571i
$526$	0.445525	−	6.22656i	0.0194258	−	0.271491i
$527$	−2.11087	−	2.27497i	−0.0919508	−	0.0990994i
$528$	10.7318	+	33.1965i	0.467042	+	1.44469i
$529$	18.9073	−	12.8908i	0.822056	−	0.560469i
$530$	−9.66839	−	12.0403i	−0.419968	−	0.522999i
$531$	5.24553	−	2.52611i	0.227637	−	0.109624i
$532$	4.25945	+	4.88441i	0.184671	+	0.211766i
$533$	−29.5866	−	14.2482i	−1.28154	−	0.617156i
$534$	−7.57896	−	32.6974i	−0.327974	−	1.41495i
$535$	9.09529	+	8.43919i	0.393223	+	0.364858i
$536$	17.5755	+	15.9801i	0.759146	+	0.690237i
$537$	−20.8569	−	8.18574i	−0.900042	−	0.353241i
$538$	−2.66260	−	2.45389i	−0.114793	−	0.105795i
$539$	−36.5056	+	11.2461i	−1.57241	+	0.484403i
$540$	9.69546	−	0.792308i	0.417226	−	0.0340955i
$541$	1.80583	−	4.60117i	0.0776386	−	0.197820i	−0.886785	−	0.462183i	$-0.847066\pi$
$541$	1.80583	−	4.60117i	0.0776386	−	0.197820i	0.964423	+	0.264363i	$0.0851616\pi$
$542$	26.3010	+	28.1549i	1.12973	+	1.20936i
$543$	−1.03878	+	1.11954i	−0.0445784	+	0.0480441i
$544$	−2.62539	−	6.37164i	−0.112563	−	0.273182i
$545$	6.10018	−	12.6672i	0.261303	−	0.542601i
$546$	23.2225	−	8.20911i	0.993830	−	0.351318i
$547$	6.75106	+	14.0187i	0.288655	+	0.599397i	0.993989	−	0.109477i	$-0.0349176\pi$
$547$	6.75106	+	14.0187i	0.288655	+	0.599397i	−0.705335	+	0.708874i	$0.749203\pi$
$548$	1.18390	−	17.3678i	0.0505738	−	0.741915i
$549$	−3.60043	−	5.28086i	−0.153663	−	0.225382i
$550$	−26.9689	−	18.2543i	−1.14996	−	0.778364i
$551$	−3.61289	+	3.35227i	−0.153914	+	0.142812i
$552$	1.54246	−	0.0155914i	0.0656516	−	0.000663615i
$553$	−1.44377	−	0.273446i	−0.0613955	−	0.0116281i
$554$	−4.97965	−	32.2991i	−0.211565	−	1.37226i
$555$	−3.52203	+	0.263939i	−0.149502	+	0.0112036i
$556$	2.34376	−	10.5973i	0.0993974	−	0.449427i
$557$	−6.16083	+	10.6709i	−0.261043	+	0.452140i	−0.966519	−	0.256594i	$-0.917400\pi$
$557$	−6.16083	+	10.6709i	−0.261043	+	0.452140i	0.705476	+	0.708733i	$0.250733\pi$
$558$	1.56535	+	0.351735i	0.0662663	+	0.0148901i
$559$	−6.60495	−	28.9382i	−0.279360	−	1.22396i
$560$	−4.47728	−	8.20545i	−0.189200	−	0.346743i
$561$	−2.36438	+	10.3590i	−0.0998240	+	0.437358i
$562$	10.7119	−	22.4365i	0.451852	−	0.946425i
$563$	−1.41396	−	3.60271i	−0.0595913	−	0.151836i	0.897977	−	0.440042i	$-0.145036\pi$
$563$	−1.41396	−	3.60271i	−0.0595913	−	0.151836i	−0.957568	+	0.288206i	$0.906941\pi$
$564$	−16.6486	+	8.15621i	−0.701034	+	0.343439i
$565$	1.94619	+	6.30940i	0.0818769	+	0.265438i
$566$	−3.45335	−	5.02865i	−0.145155	−	0.211370i
$567$	10.5059	+	16.7267i	0.441206	+	0.702457i
$568$	8.85950	+	4.15672i	0.371736	+	0.174412i
$569$	−9.76174	−	16.9078i	−0.409233	−	0.708813i	0.585571	−	0.810621i	$-0.300870\pi$
$569$	−9.76174	−	16.9078i	−0.409233	−	0.708813i	−0.994804	+	0.101808i	$0.967537\pi$
$570$	2.33413	−	0.728606i	0.0977661	−	0.0305180i
$571$	−10.7919	+	34.9865i	−0.451627	+	1.46414i	0.388347	+	0.921513i	$0.373046\pi$
$571$	−10.7919	+	34.9865i	−0.451627	+	1.46414i	−0.839974	+	0.542627i	$0.817430\pi$
$572$	−44.4013	+	6.99874i	−1.85651	+	0.292632i
$573$	−8.09585	−	6.45623i	−0.338209	−	0.269713i
$574$	−29.2955	+	5.63984i	−1.22277	+	0.235402i
$575$	−1.12573	+	0.897743i	−0.0469464	+	0.0374385i
$576$	2.98353	+	1.94698i	0.124314	+	0.0811240i
$577$	−3.82877	−	25.4022i	−0.159394	−	1.05751i	−0.915284	−	0.402809i	$-0.868034\pi$
$577$	−3.82877	−	25.4022i	−0.159394	−	1.05751i	0.755890	−	0.654698i	$-0.227204\pi$
$578$	−3.19728	+	21.7086i	−0.132990	+	0.902960i
$579$	−2.18882	−	0.329912i	−0.0909643	−	0.0137107i
$580$	6.13220	−	3.59574i	0.254626	−	0.149305i
$581$	2.07136	−	0.391535i	0.0859343	−	0.0162436i
$582$	10.0234	+	25.2884i	0.415485	+	1.04824i
$583$	−38.0015	+	55.7379i	−1.57386	+	2.30843i
$584$	12.3984	−	1.99713i	0.513050	−	0.0826417i
$585$	−0.121061	+	1.61545i	−0.00500526	+	0.0667906i
$586$	−38.7280	+	18.8114i	−1.59984	+	0.777093i
$587$	9.67159			0.399189			0.199595	−	0.979879i	$-0.436037\pi$
$587$	9.67159			0.399189			0.199595	+	0.979879i	$0.436037\pi$
$588$	12.4871	−	18.5685i	0.514958	−	0.765752i
$589$	3.12004			0.128559
$590$	−14.6894	+	7.13511i	−0.604753	+	0.293748i
$591$	−1.49783	+	19.9871i	−0.0616124	+	0.822160i
$592$	−8.34361	−	5.52535i	−0.342920	−	0.227091i
$593$	12.5434	−	18.3978i	0.515095	−	0.755505i	−0.477281	−	0.878751i	$-0.658378\pi$
$593$	12.5434	−	18.3978i	0.515095	−	0.755505i	0.992376	+	0.123245i	$0.0393301\pi$
$594$	−15.6593	−	39.5072i	−0.642507	−	1.62100i
$595$	0.106960	−	2.84483i	0.00438492	−	0.116627i
$596$	11.3759	+	19.4006i	0.465976	+	0.794679i
$597$	−15.2199	−	2.29403i	−0.622908	−	0.0938883i
$598$	−0.289584	+	1.96619i	−0.0118420	+	0.0804034i
$599$	−2.40934	−	15.9849i	−0.0984430	−	0.653126i	−0.982572	−	0.185883i	$-0.940485\pi$
$599$	−2.40934	−	15.9849i	−0.0984430	−	0.653126i	0.884129	−	0.467243i	$-0.154753\pi$
$600$	19.0083	−	1.61784i	0.776011	−	0.0660481i
$601$	31.3505	−	25.0012i	1.27881	−	1.01982i	0.280617	−	0.959820i	$-0.409461\pi$
$601$	31.3505	−	25.0012i	1.27881	−	1.01982i	0.998198	−	0.0600010i	$-0.0191104\pi$
$602$	−20.4955	−	17.5243i	−0.835334	−	0.714239i
$603$	−2.92407	−	2.33186i	−0.119077	−	0.0949608i
$604$	2.32267	+	14.7355i	0.0945083	+	0.599579i
$605$	4.88880	−	15.8491i	0.198758	−	0.644357i
$606$	−8.18219	+	2.55409i	−0.332379	+	0.103753i
$607$	−11.7096	−	20.2816i	−0.475276	−	0.823203i	0.524323	−	0.851520i	$-0.324319\pi$
$607$	−11.7096	−	20.2816i	−0.475276	−	0.823203i	−0.999599	+	0.0283169i	$0.990985\pi$
$608$	6.49104	+	2.42217i	0.263246	+	0.0982319i
$609$	14.4073	+	9.05632i	0.583813	+	0.366981i
$610$	10.1488	+	14.7784i	0.410913	+	0.598358i
$611$	−7.04043	−	22.8245i	−0.284825	−	0.923381i
$612$	0.477348	+	0.974372i	0.0192956	+	0.0393867i
$613$	2.54226	+	6.47757i	0.102681	+	0.261626i	0.972977	−	0.230902i	$-0.0741678\pi$
$613$	2.54226	+	6.47757i	0.102681	+	0.261626i	−0.870296	+	0.492529i	$0.836073\pi$
$614$	−8.10860	+	16.9838i	−0.327236	+	0.685411i
$615$	−2.50475	+	10.9740i	−0.101001	+	0.442515i
$616$	−28.5874	+	29.1607i	−1.15182	+	1.17492i
$617$	−7.41238	−	32.4757i	−0.298411	−	1.30742i	−0.872493	−	0.488626i	$-0.837498\pi$
$617$	−7.41238	−	32.4757i	−0.298411	−	1.30742i	0.574082	−	0.818798i	$-0.305359\pi$
$618$	5.23499	+	1.17631i	0.210582	+	0.0473181i
$619$	−8.91264	+	15.4371i	−0.358229	+	0.620471i	−0.987665	−	0.156581i	$-0.949953\pi$
$619$	−8.91264	+	15.4371i	−0.358229	+	0.620471i	0.629436	+	0.777052i	$0.283286\pi$
$620$	−4.39399	−	0.971795i	−0.176467	−	0.0390282i
$621$	−1.87373	+	0.140417i	−0.0751901	+	0.00563472i
$622$	−6.58871	−	42.7357i	−0.264183	−	1.71355i
$623$	29.7827	−	25.6207i	1.19322	−	1.02647i
$624$	17.6481	−	19.5419i	0.706490	−	0.782301i
$625$	−10.1942	+	9.45885i	−0.407769	+	0.378354i
$626$	−29.0772	−	19.6813i	−1.16216	−	0.786623i
$627$	−6.01756	−	8.82613i	−0.240318	−	0.352482i
$628$	−21.4168	−	1.45991i	−0.854624	−	0.0582568i
$629$	−1.32238	−	2.74596i	−0.0527268	−	0.109488i
$630$	0.786977	+	1.24365i	0.0313539	+	0.0495480i
$631$	7.48164	−	15.5358i	0.297839	−	0.618470i	−0.697318	−	0.716762i	$-0.745624\pi$
$631$	7.48164	−	15.5358i	0.297839	−	0.618470i	0.995158	+	0.0982920i	$0.0313379\pi$
$632$	−1.49635	+	0.478179i	−0.0595216	+	0.0190209i
$633$	22.2088	−	23.9354i	0.882720	−	0.951346i
$634$	−12.0726	−	12.9235i	−0.479463	−	0.513259i
$635$	0.136365	−	0.347452i	0.00541147	−	0.0137882i
$636$	−3.21865	−	39.3866i	−0.127628	−	1.56178i
$637$	21.1268	+	19.6170i	0.837073	+	0.777252i
$638$	−22.8363	−	21.0462i	−0.904096	−	0.833228i
$639$	−1.43429	−	0.562917i	−0.0567396	−	0.0222686i
$640$	−8.38696	−	5.43291i	−0.331524	−	0.214755i
$641$	15.7325	+	14.5976i	0.621395	+	0.576571i	0.926755	−	0.375667i	$-0.122586\pi$
$641$	15.7325	+	14.5976i	0.621395	+	0.576571i	−0.305360	+	0.952237i	$0.598777\pi$
$642$	7.16987	+	30.9325i	0.282972	+	1.22081i
$643$	−9.11128	−	4.38776i	−0.359314	−	0.173036i	0.245513	−	0.969393i	$-0.421044\pi$
$643$	−9.11128	−	4.38776i	−0.359314	−	0.173036i	−0.604827	+	0.796357i	$0.706758\pi$
$644$	0.854116	+	1.59073i	0.0336569	+	0.0626834i
$645$	−9.16677	+	4.41449i	−0.360941	+	0.173820i
$646$	1.32114	+	1.64525i	0.0519796	+	0.0647317i
$647$	−26.1443	+	17.8249i	−1.02784	+	0.700768i	−0.955009	−	0.296576i	$-0.904155\pi$
$647$	−26.1443	+	17.8249i	−1.02784	+	0.700768i	−0.0728292	+	0.997344i	$0.523203\pi$
$648$	18.3930	+	10.3727i	0.722543	+	0.407479i
$649$	48.5255	+	52.2981i	1.90479	+	2.05288i
$650$	−1.75418	+	24.5160i	−0.0688045	+	0.961597i
$651$	−2.78634	−	10.4063i	−0.109205	−	0.407853i
$652$	−25.4933	+	37.9385i	−0.998393	+	1.48579i
$653$	−2.38647	−	31.8453i	−0.0933899	−	1.24620i	−0.825258	−	0.564755i	$-0.808971\pi$
$653$	−2.38647	−	31.8453i	−0.0933899	−	1.24620i	0.731868	−	0.681446i	$-0.238649\pi$
$654$	31.0992	−	18.0951i	1.21607	−	0.707574i
$655$	−14.2681	−	8.23772i	−0.557503	−	0.321874i
$656$	−24.6650	+	20.2194i	−0.963005	+	0.789435i
$657$	−1.92768	+	0.439979i	−0.0752058	+	0.0171652i
$658$	−17.5006	−	12.8301i	−0.682246	−	0.500168i
$659$	−2.80536	−	0.640306i	−0.109281	−	0.0249428i	0.167530	−	0.985867i	$-0.446421\pi$
$659$	−2.80536	−	0.640306i	−0.109281	−	0.0249428i	−0.276812	+	0.960924i	$0.589278\pi$
$660$	5.72552	+	14.3042i	0.222866	+	0.556790i
$661$	22.5617	−	8.85483i	0.877550	−	0.344413i	0.116565	−	0.993183i	$-0.462812\pi$
$661$	22.5617	−	8.85483i	0.877550	−	0.344413i	0.760984	+	0.648770i	$0.224716\pi$
$662$	5.38942	−	13.8693i	0.209466	−	0.539044i
$663$	7.66312	−	2.36376i	0.297611	−	0.0918008i
$664$	1.74763	−	1.42282i	0.0678213	−	0.0552163i
$665$	2.02343	+	2.02416i	0.0784654	+	0.0784937i
$666$	1.36716	+	0.783203i	0.0529765	+	0.0303485i
$667$	−1.18913	+	0.686542i	−0.0460431	+	0.0265830i
$668$	28.6900	+	13.5790i	1.11005	+	0.525386i
$669$	−13.9224	−	4.29448i	−0.538269	−	0.166034i
$670$	8.22380	+	6.51305i	0.317713	+	0.251621i
$671$	48.8315	−	61.2327i	1.88512	−	2.36386i
$672$	2.28185	−	23.8126i	0.0880244	−	0.918591i
$673$	28.0658	+	35.1934i	1.08186	+	1.35661i	0.929728	+	0.368246i	$0.120042\pi$
$673$	28.0658	+	35.1934i	1.08186	+	1.35661i	0.152129	+	0.988361i	$0.451387\pi$
$674$	0.0556904	+	16.5289i	0.00214511	+	0.636669i
$675$	−22.9783	+	3.46342i	−0.884436	+	0.133307i
$676$	4.98286	+	6.16266i	0.191648	+	0.237025i
$677$	−4.79776	+	31.8310i	−0.184393	+	1.22337i	0.684740	+	0.728787i	$0.259916\pi$
$677$	−4.79776	+	31.8310i	−0.184393	+	1.22337i	−0.869133	+	0.494579i	$0.835322\pi$
$678$	−4.92618	+	16.1634i	−0.189189	+	0.620753i
$679$	−20.7732	+	24.1301i	−0.797204	+	0.926030i
$680$	−1.34813	−	2.72852i	−0.0516984	−	0.104634i
$681$	3.48246	+	2.37430i	0.133448	+	0.0909835i
$682$	1.53522	+	19.5997i	0.0587866	+	0.750511i
$683$	35.0018	+	2.62302i	1.33931	+	0.100367i	0.725027	−	0.688721i	$-0.241827\pi$
$683$	35.0018	+	2.62302i	1.33931	+	0.100367i	0.614280	+	0.789088i	$0.289447\pi$
$684$	−1.04451	−	0.314496i	−0.0399377	−	0.0120250i
$685$		−	7.68788i		−	0.293739i
$686$	26.0351	+	2.85890i	0.994025	+	0.109153i
$687$			45.6229i			1.74062i
$688$	−28.1890	−	6.03547i	−1.07470	−	0.230100i
$689$	50.7721	+	3.80484i	1.93426	+	0.144953i
$690$	0.679149	−	0.0531968i	0.0258547	−	0.00202517i
$691$	39.1180	+	26.6702i	1.48812	+	1.01458i	0.988978	+	0.148061i	$0.0473033\pi$
$691$	39.1180	+	26.6702i	1.48812	+	1.01458i	0.499141	+	0.866521i	$0.333649\pi$
$692$	9.11691	+	3.50741i	0.346573	+	0.133332i
$693$	4.19476	−	4.87262i	0.159346	−	0.185095i
$694$	2.96067	+	0.902332i	0.112385	+	0.0342520i
$695$	0.714384	−	4.73963i	0.0270981	−	0.179784i
$696$	18.1542	+	1.17607i	0.688131	+	0.0445788i
$697$	−9.60484	+	1.44770i	−0.363809	+	0.0548354i
$698$	17.7297	−	0.0597362i	0.671079	−	0.00226105i
$699$	19.9673	+	25.0382i	0.755231	+	0.947030i
$700$	12.0037	+	18.8285i	0.453697	+	0.711652i
$701$	−29.1952	+	36.6096i	−1.10269	+	1.38273i	−0.186271	+	0.982498i	$0.559640\pi$
$701$	−29.1952	+	36.6096i	−1.10269	+	1.38273i	−0.916416	+	0.400227i	$0.868931\pi$
$702$	−19.9135	+	25.1440i	−0.751585	+	0.949000i
$703$	2.92797	+	0.903159i	0.110431	+	0.0340633i
$704$	−12.0218	+	41.9677i	−0.453089	+	1.58172i
$705$	−7.09049	+	4.09370i	−0.267043	+	0.154178i
$706$	8.41095	−	14.6822i	0.316550	−	0.552573i
$707$	−7.09304	−	7.09560i	−0.266761	−	0.266858i
$708$	−41.3668	−	5.95024i	−1.55466	−	0.223624i
$709$	−40.8179	+	12.5907i	−1.53295	+	0.472852i	−0.942495	−	0.334220i	$-0.891527\pi$
$709$	−40.8179	+	12.5907i	−1.53295	+	0.472852i	−0.590453	+	0.807072i	$0.701051\pi$
$710$	4.02838	+	1.56538i	0.151182	+	0.0587476i
$711$	0.230235	−	0.0903607i	0.00863449	−	0.00338879i
$712$	14.9480	−	39.2489i	0.560201	−	1.47091i
$713$	0.847442	+	0.193423i	0.0317370	+	0.00724376i
$714$	4.30757	−	5.87567i	0.161207	−	0.219892i
$715$	−19.3532	+	4.41725i	−0.723770	+	0.165196i
$716$	−15.9492	−	23.0578i	−0.596049	−	0.861710i
$717$	−12.2351	−	7.06392i	−0.456927	−	0.263807i
$718$	7.76173	+	13.3397i	0.289665	+	0.497833i
$719$	−0.340461	−	4.54313i	−0.0126970	−	0.169430i	−0.999947	−	0.0102552i	$-0.996736\pi$
$719$	−0.340461	−	4.54313i	−0.0126970	−	0.169430i	0.987250	−	0.159175i	$-0.0508834\pi$
$720$	1.37303	+	0.768238i	0.0511700	+	0.0286305i
$721$	1.62436	+	6.06657i	0.0604943	+	0.225931i
$722$	24.6856	+	1.76631i	0.918703	+	0.0657353i
$723$	−26.4665	−	28.5241i	−0.984299	−	1.06082i
$724$	−1.86021	+	0.437789i	−0.0691341	+	0.0162703i
$725$	−14.0306	+	9.56591i	−0.521084	+	0.355269i
$726$	33.0963	−	26.5764i	1.22832	−	0.986342i
$727$	37.1503	−	17.8906i	1.37783	−	0.663527i	0.409292	−	0.912403i	$-0.365776\pi$
$727$	37.1503	−	17.8906i	1.37783	−	0.663527i	0.968535	+	0.248877i	$0.0800614\pi$
$728$	29.8480	+	7.68100i	1.10624	+	0.284677i
$729$	−26.7856	−	12.8992i	−0.992058	−	0.477750i
$730$	5.40281	−	1.25232i	0.199967	−	0.0463506i
$731$	−6.43601	−	5.97174i	−0.238044	−	0.220873i
$732$	0.309158	+	45.8785i	0.0114268	+	1.69572i
$733$	−24.1393	−	9.47399i	−0.891607	−	0.349930i	−0.125083	−	0.992146i	$-0.539920\pi$
$733$	−24.1393	−	9.47399i	−0.891607	−	0.349930i	−0.766523	+	0.642216i	$0.778015\pi$
$734$	31.6045	−	34.2925i	1.16654	−	1.26576i
$735$	4.94416	−	8.55641i	0.182368	−	0.315608i
$736$	1.61289	+	1.06029i	0.0594518	+	0.0390830i
$737$	16.7434	−	42.6615i	0.616751	−	1.57146i
$738$	3.66949	−	3.42787i	0.135076	−	0.126181i
$739$	7.70143	−	8.30016i	0.283302	−	0.305326i	−0.575328	−	0.817923i	$-0.695126\pi$
$739$	7.70143	−	8.30016i	0.283302	−	0.305326i	0.858630	+	0.512596i	$0.171316\pi$
$740$	−3.84218	−	2.18390i	−0.141241	−	0.0802817i
$741$	−3.49812	+	7.26391i	−0.128507	+	0.266847i
$742$	39.0866	−	24.7340i	1.43492	−	0.908013i
$743$	10.5033	+	21.8104i	0.385330	+	0.800146i	0.999936	+	0.0113115i	$0.00360063\pi$
$743$	10.5033	+	21.8104i	0.385330	+	0.800146i	−0.614606	+	0.788834i	$0.710685\pi$
$744$	−7.91824	−	8.36269i	−0.290297	−	0.306591i
$745$	5.59497	+	8.20631i	0.204984	+	0.300656i
$746$	22.1208	−	32.6813i	0.809900	−	1.19655i
$747$	−0.260101	+	0.241338i	−0.00951659	+	0.00883011i
$748$	−9.68521	+	9.10878i	−0.354126	+	0.333050i
$749$	−28.1751	+	24.2378i	−1.02950	+	0.885630i
$750$	18.1925	−	2.80479i	0.664295	−	0.102417i
$751$	5.61533	−	0.420811i	0.204906	−	0.0153556i	0.0281186	−	0.999605i	$-0.491048\pi$
$751$	5.61533	−	0.420811i	0.204906	−	0.0153556i	0.176788	+	0.984249i	$0.443429\pi$
$752$	−22.9835	−	3.14804i	−0.838122	−	0.114797i
$753$	3.37286	−	5.84196i	0.122914	−	0.212893i
$754$	−5.13858	+	22.8685i	−0.187136	+	0.832820i
$755$	1.46595	+	6.42276i	0.0533515	+	0.233748i
$756$	−0.898558	+	29.1253i	−0.0326802	+	1.05928i
$757$	1.15964	−	5.08070i	0.0421477	−	0.184661i	−0.949472	−	0.313851i	$-0.898381\pi$
$757$	1.15964	−	5.08070i	0.0421477	−	0.184661i	0.991620	+	0.129190i	$0.0412378\pi$
$758$	22.4627	+	10.7244i	0.815883	+	0.389528i
$759$	−1.08728	−	2.77034i	−0.0394657	−	0.100557i
$760$	2.93273	+	0.872263i	0.106381	+	0.0316403i
$761$	−5.04058	−	16.3412i	−0.182721	−	0.592366i	−0.999873	−	0.0159442i	$-0.994925\pi$
$761$	−5.04058	−	16.3412i	−0.182721	−	0.592366i	0.817152	−	0.576422i	$-0.195552\pi$
$762$	0.787418	−	0.540748i	0.0285251	−	0.0195892i
$763$	35.6554	+	22.4127i	1.29081	+	0.811396i
$764$	−3.90255	−	12.3555i	−0.141189	−	0.447008i
$765$	0.239586	+	0.414976i	0.00866227	+	0.0150035i
$766$	−12.3069	−	39.4258i	−0.444665	−	1.42451i
$767$	15.8711	−	51.4530i	0.573074	−	1.85786i
$768$	−9.98118	−	23.5451i	−0.360165	−	0.849611i
$769$	−15.9777	−	12.7418i	−0.576171	−	0.459481i	0.291534	−	0.956561i	$-0.405834\pi$
$769$	−15.9777	−	12.7418i	−0.576171	−	0.459481i	−0.867705	+	0.497079i	$0.834406\pi$
$770$	−11.7199	+	13.7069i	−0.422356	+	0.493964i
$771$	0.745316	−	0.594369i	0.0268419	−	0.0214057i
$772$	−2.04307	−	1.87023i	−0.0735316	−	0.0673110i
$773$	−1.45892	−	9.67929i	−0.0524736	−	0.348140i	−0.999626	−	0.0273551i	$-0.991292\pi$
$773$	−1.45892	−	9.67929i	−0.0524736	−	0.348140i	0.947152	−	0.320785i	$-0.103947\pi$
$774$	4.49042	+	0.661356i	0.161405	+	0.0237719i
$775$	10.6300	+	1.60222i	0.381841	+	0.0575533i
$776$	−7.23847	+	33.2599i	−0.259846	+	1.19396i
$777$	0.397492	−	10.5722i	0.0142600	−	0.379276i
$778$	−11.7797	+	4.66906i	−0.422323	+	0.167394i
$779$	5.50101	−	8.06850i	0.197094	−	0.289084i
$780$	7.18891	−	9.14029i	0.257404	−	0.327275i
$781$	1.41095	−	18.8279i	0.0504879	−	0.673714i
$782$	0.256842	+	0.528774i	0.00918467	+	0.0189089i
$783$	−22.1600			−0.791935
$784$	25.9281	−	10.5705i	0.926002	−	0.377519i
$785$	−9.48019			−0.338363
$786$	−18.4218	−	37.9259i	−0.657085	−	1.35277i
$787$	0.671452	−	8.95990i	0.0239347	−	0.319386i	−0.972367	−	0.233459i	$-0.924996\pi$
$787$	0.671452	−	8.95990i	0.0239347	−	0.319386i	0.996301	−	0.0859274i	$-0.0273853\pi$
$788$	−15.5047	+	19.7133i	−0.552331	+	0.702257i
$789$	3.97434	−	5.82929i	0.141490	−	0.207528i
$790$	−0.644937	+	0.255630i	−0.0229458	+	0.00909491i
$791$	−19.4341	+	3.67350i	−0.690997	+	0.130615i
$792$	1.46167	−	6.71620i	0.0519381	−	0.238650i
$793$	−58.4505	−	8.81000i	−2.07564	−	0.312852i
$794$	8.15537	+	1.20114i	0.289423	+	0.0426267i
$795$	−2.60111	−	17.2572i	−0.0922518	−	0.612051i
$796$	−14.2064	−	13.0045i	−0.503531	−	0.460934i
$797$	−28.6431	+	22.8421i	−1.01459	+	0.809109i	−0.981716	−	0.190350i	$-0.939038\pi$
$797$	−28.6431	+	22.8421i	−1.01459	+	0.809109i	−0.0328747	+	0.999459i	$0.510466\pi$
$798$	1.38466	+	7.19245i	0.0490163	+	0.254610i
$799$	−5.52375	−	4.40504i	−0.195416	−	0.155839i
$800$	20.8711	+	11.5856i	0.737906	+	0.409614i
$801$	−1.94910	+	6.31882i	−0.0688680	+	0.223265i
$802$	10.5991	+	33.9549i	0.374268	+	1.19899i
$803$	−12.1144	−	20.9828i	−0.427509	−	0.740467i
$804$	8.08594	+	25.6002i	0.285169	+	0.902850i
$805$	0.424104	+	0.675228i	0.0149477	+	0.0237987i
$806$	12.2315	−	8.39977i	0.430834	−	0.295869i
$807$	−1.20624	−	3.91052i	−0.0424616	−	0.137657i
$808$	−10.2805	−	3.05767i	−0.361668	−	0.107569i
$809$	1.49689	+	3.81402i	0.0526280	+	0.134094i	0.954770	−	0.297345i	$-0.0961012\pi$
$809$	1.49689	+	3.81402i	0.0526280	+	0.134094i	−0.902142	+	0.431439i	$0.858006\pi$
$810$	8.41556	+	4.01785i	0.295693	+	0.141173i
$811$	−0.0552652	+	0.242133i	−0.00194062	+	0.00850242i	−0.975889	−	0.218268i	$-0.929959\pi$
$811$	−0.0552652	+	0.242133i	−0.00194062	+	0.00850242i	0.973948	+	0.226770i	$0.0728166\pi$
$812$	8.64300	+	19.4608i	0.303310	+	0.682939i
$813$	9.68960	+	42.4529i	0.339829	+	1.48889i
$814$	−4.23282	+	18.8375i	−0.148360	+	0.660255i
$815$	−10.0930	+	17.4816i	−0.353542	+	0.612352i
$816$	1.05693	−	7.71649i	0.0369998	−	0.270131i
$817$	8.80207	−	0.659624i	0.307945	−	0.0230773i
$818$	24.1728	−	3.72679i	0.845181	−	0.130304i
$819$	−4.76782	−	0.903011i	−0.166601	−	0.0315537i
$820$	−10.2602	+	9.64956i	−0.358302	+	0.336977i
$821$	−9.52243	+	8.83553i	−0.332335	+	0.308362i	−0.828635	−	0.559789i	$-0.810882\pi$
$821$	−9.52243	+	8.83553i	−0.332335	+	0.308362i	0.496300	+	0.868151i	$0.334692\pi$
$822$	11.0282	−	16.2931i	0.384653	−	0.568287i
$823$	−1.05901	−	1.55328i	−0.0369147	−	0.0541439i	0.807338	−	0.590090i	$-0.200908\pi$
$823$	−1.05901	−	1.55328i	−0.0369147	−	0.0541439i	−0.844253	+	0.535946i	$0.819955\pi$
$824$	4.61612	+	4.87522i	0.160810	+	0.169836i
$825$	−15.9694	−	33.1608i	−0.555984	−	1.15451i
$826$	−16.3036	−	46.1208i	−0.567276	−	1.60475i
$827$	5.13127	−	10.6552i	0.178432	−	0.370517i	−0.792501	−	0.609871i	$-0.791221\pi$
$827$	5.13127	−	10.6552i	0.178432	−	0.370517i	0.970932	+	0.239354i	$0.0769355\pi$
$828$	−0.264204	−	0.150174i	−0.00918173	−	0.00521890i
$829$	3.85247	−	4.15197i	0.133802	−	0.144204i	−0.662596	−	0.748977i	$-0.730546\pi$
$829$	3.85247	−	4.15197i	0.133802	−	0.144204i	0.796398	+	0.604773i	$0.206736\pi$
$830$	0.727281	−	0.679392i	0.0252443	−	0.0235820i
$831$	13.4940	−	34.3823i	0.468103	−	1.19271i
$832$	31.9676	−	7.97956i	1.10828	−	0.276641i
$833$	8.43189	+	1.27401i	0.292148	+	0.0441419i
$834$	8.31297	−	9.02001i	0.287855	−	0.312338i
$835$	13.0488	+	5.12127i	0.451572	+	0.177229i
$836$	−0.0900718	−	13.3665i	−0.00311520	−	0.462290i
$837$	10.2836	+	9.54180i	0.355454	+	0.329813i
$838$	−40.8858	+	9.47696i	−1.41238	+	0.327376i
$839$	−11.4228	−	5.50091i	−0.394358	−	0.189913i	0.226187	−	0.974084i	$-0.427374\pi$
$839$	−11.4228	−	5.50091i	−0.394358	−	0.189913i	−0.620544	+	0.784171i	$0.713088\pi$
$840$	0.290195	−	10.5605i	0.0100127	−	0.364371i
$841$	11.5381	−	5.55646i	0.397866	−	0.191602i
$842$	−0.302619	+	0.243003i	−0.0104290	+	0.00837445i
$843$	23.2167	−	15.8289i	0.799627	−	0.545176i
$844$	39.7706	−	9.35977i	1.36896	−	0.322177i
$845$	2.38056	+	2.56564i	0.0818939	+	0.0882606i
$846$	3.64315	+	0.260676i	0.125254	+	0.00896221i
$847$	45.5336	+	19.8759i	1.56455	+	0.682943i
$848$	24.1450	−	43.1532i	0.829144	−	1.48189i
$849$	−0.515223	−	6.87518i	−0.0176824	−	0.235955i
$850$	3.65625	+	6.28383i	0.125408	+	0.215533i
$851$	0.739283	+	0.426825i	0.0253423	+	0.0146314i
$852$	6.29190	+	9.09622i	0.215557	+	0.311631i
$853$	15.4918	−	3.53590i	0.530429	−	0.121067i	0.0510854	−	0.998694i	$-0.483732\pi$
$853$	15.4918	−	3.53590i	0.530429	−	0.121067i	0.479344	+	0.877627i	$0.340875\pi$
$854$	−47.3979	+	25.2442i	−1.62192	+	0.863840i
$855$	−0.469660	−	0.107197i	−0.0160620	−	0.00366606i
$856$	−14.1412	+	37.1304i	−0.483335	+	1.26909i
$857$	−13.5481	+	5.31722i	−0.462793	+	0.181633i	−0.585270	−	0.810839i	$-0.699011\pi$
$857$	−13.5481	+	5.31722i	−0.462793	+	0.181633i	0.122477	+	0.992471i	$0.460916\pi$
$858$	−47.3522	−	18.4005i	−1.61658	−	0.628182i
$859$	−32.4304	+	10.0034i	−1.10651	+	0.341313i	−0.793582	−	0.608463i	$-0.791786\pi$
$859$	−32.4304	+	10.0034i	−1.10651	+	0.341313i	−0.312929	+	0.949777i	$0.601310\pi$
$860$	−12.6015	−	1.81261i	−0.429707	−	0.0618095i
$861$	−31.8235	−	11.1420i	−1.08454	−	0.379717i
$862$	6.01325	−	10.4968i	0.204812	−	0.357521i
$863$	−5.22936	+	3.01917i	−0.178010	+	0.102774i	−0.586357	−	0.810053i	$-0.699438\pi$
$863$	−5.22936	+	3.01917i	−0.178010	+	0.102774i	0.408348	+	0.912827i	$0.366105\pi$
$864$	13.9868	+	27.8345i	0.475841	+	0.946948i
$865$	4.12230	+	1.27156i	0.140162	+	0.0432343i
$866$	13.3298	−	16.8311i	0.452966	−	0.571944i
$867$	−15.4623	+	19.3891i	−0.525128	+	0.658490i
$868$	4.36864	−	12.7525i	0.148281	−	0.432849i
$869$	1.88965	+	2.36955i	0.0641020	+	0.0803814i
$870$	8.03412	−	0.0270692i	0.272382	−	0.000917731i
$871$	−34.2029	+	5.15526i	−1.15892	+	0.174679i
$872$	44.9282	+	2.91056i	1.52146	+	0.0985640i
$873$	0.798754	−	5.29938i	0.0270337	−	0.179357i
$874$	−0.565327	−	0.172296i	−0.0191225	−	0.00582801i
$875$	12.7911	+	17.3379i	0.432418	+	0.586127i
$876$	13.2467	+	5.09622i	0.447566	+	0.172185i
$877$	24.8519	+	16.9437i	0.839188	+	0.572149i	0.904868	−	0.425692i	$-0.139969\pi$
$877$	24.8519	+	16.9437i	0.839188	+	0.572149i	−0.0656802	+	0.997841i	$0.520922\pi$
$878$	34.3657	−	2.69182i	1.15979	−	0.0908446i
$879$	−48.5244	−	3.63640i	−1.63669	−	0.122653i
$880$	−4.03639	+	18.8522i	−0.136067	+	0.635508i
$881$			33.6559i			1.13390i	0.823753	+	0.566948i	$0.191876\pi$
$881$			33.6559i			1.13390i	−0.823753	+	0.566948i	$0.808124\pi$
$882$	−3.96615	+	1.92472i	−0.133547	+	0.0648087i
$883$		−	34.0096i		−	1.14452i	−0.820074	−	0.572258i	$-0.806068\pi$
$883$		−	34.0096i		−	1.14452i	0.820074	−	0.572258i	$-0.193932\pi$
$884$	9.60859	+	2.89310i	0.323172	+	0.0973053i
$885$	−18.4051	−	1.37927i	−0.618681	−	0.0463638i
$886$	2.13268	+	27.2273i	0.0716486	+	0.914718i
$887$	−3.71576	−	2.53337i	−0.124763	−	0.0850621i	0.499331	−	0.866412i	$-0.333579\pi$
$887$	−3.71576	−	2.53337i	−0.124763	−	0.0850621i	−0.624094	+	0.781349i	$0.714532\pi$
$888$	−5.01003	−	10.1400i	−0.168126	−	0.340275i
$889$	0.988405	+	0.522615i	0.0331500	+	0.0175280i
$890$	5.40734	−	17.7422i	0.181255	−	0.594720i
$891$	6.07197	−	40.2849i	0.203419	−	1.34960i
$892$	−11.4626	−	14.1767i	−0.383798	−	0.474670i
$893$	7.02364	−	1.05864i	0.235037	−	0.0354261i
$894$	0.0856394	+	25.4178i	0.00286421	+	0.850097i
$895$	−7.71981	−	9.68034i	−0.258045	−	0.323578i
$896$	18.9888	−	23.1393i	0.634370	−	0.773029i
$897$	−1.40045	+	1.75611i	−0.0467596	+	0.0586347i
$898$	8.00688	+	6.34125i	0.267193	+	0.211610i
$899$	9.79602	+	3.02167i	0.326715	+	0.100778i
$900$	−3.39714	−	1.60787i	−0.113238	−	0.0535955i
$901$	13.0423	−	7.52998i	0.434503	−	0.250860i
$902$	53.3920	+	30.5865i	1.77776	+	1.01842i
$903$	−10.0607	−	28.7684i	−0.334798	−	0.957353i
$904$	−16.3968	+	13.3494i	−0.545350	+	0.443993i
$905$	−0.806468	+	0.248762i	−0.0268079	+	0.00826914i
$906$	−6.10658	+	15.7148i	−0.202878	+	0.522089i
$907$	−2.67737	+	1.05079i	−0.0889005	+	0.0348909i	−0.409375	−	0.912366i	$-0.634253\pi$
$907$	−2.67737	+	1.05079i	−0.0889005	+	0.0348909i	0.320474	+	0.947257i	$0.396158\pi$
$908$	1.95986	+	4.89637i	0.0650403	+	0.162492i
$909$	1.64637	+	0.375773i	0.0546067	+	0.0124636i
$910$	13.3819	+	2.48781i	0.443605	+	0.0824701i
$911$	4.28259	−	0.977473i	0.141888	−	0.0323851i	−0.150987	−	0.988536i	$-0.548245\pi$
$911$	4.28259	−	0.977473i	0.141888	−	0.0323851i	0.292875	+	0.956151i	$0.405388\pi$
$912$	4.96414	+	6.05558i	0.164379	+	0.200520i
$913$	−3.76538	−	2.17395i	−0.124616	−	0.0719471i
$914$	14.1368	−	8.22550i	0.467603	−	0.272075i
$915$	1.51415	+	20.2050i	0.0500564	+	0.667956i
$916$	−31.8403	+	47.3840i	−1.05203	+	1.56561i
$917$	29.3131	−	39.7028i	0.968003	−	1.31110i
$918$	−0.677105	+	9.46308i	−0.0223478	+	0.312328i
$919$	35.2005	+	37.9371i	1.16116	+	1.25143i	0.962477	+	0.271365i	$0.0874749\pi$
$919$	35.2005	+	37.9371i	1.16116	+	1.25143i	0.198680	+	0.980064i	$0.436335\pi$
$920$	0.742490	+	0.418728i	0.0244792	+	0.0138051i
$921$	−17.5745	+	11.9821i	−0.579099	+	0.394823i
$922$	−34.0049	−	42.3473i	−1.11989	−	1.39463i
$923$	−12.8388	+	6.18282i	−0.422593	+	0.203510i
$924$	−44.5007	+	12.2373i	−1.46397	+	0.402577i
$925$	9.51182	+	4.58065i	0.312747	+	0.150611i
$926$	−2.36369	−	10.1975i	−0.0776758	−	0.335111i
$927$	−0.774894	−	0.718996i	−0.0254509	−	0.0236149i
$928$	18.0341	+	13.8913i	0.592000	+	0.456003i
$929$	7.26782	+	2.85241i	0.238449	+	0.0935845i	0.481557	−	0.876415i	$-0.340072\pi$
$929$	7.26782	+	2.85241i	0.238449	+	0.0935845i	−0.243107	+	0.969999i	$0.578167\pi$
$930$	−3.73998	−	3.44682i	−0.122639	−	0.113026i
$931$	−6.70477	+	5.34292i	−0.219740	+	0.175107i
$932$	3.26386	+	39.9398i	0.106911	+	1.30827i
$933$	17.8543	−	45.4921i	0.584524	−	1.48934i
$934$	11.3342	+	12.1331i	0.370867	+	0.397008i
$935$	−3.99377	+	4.30426i	−0.130610	+	0.140764i
$936$	−4.94145	+	1.57911i	−0.161516	+	0.0516147i
$937$	−5.61683	+	11.6635i	−0.183494	+	0.381029i	−0.972343	−	0.233558i	$-0.924963\pi$
$937$	−5.61683	+	11.6635i	−0.183494	+	0.381029i	0.788849	+	0.614587i	$0.210677\pi$
$938$	−22.1491	+	22.2908i	−0.723193	+	0.727820i
$939$	−17.2178	−	35.7532i	−0.561883	−	1.16676i
$940$	−10.2212	−	0.696744i	−0.333378	−	0.0227253i
$941$	4.99434	+	7.32535i	0.162811	+	0.238800i	0.898971	−	0.438007i	$-0.144316\pi$
$941$	4.99434	+	7.32535i	0.162811	+	0.238800i	−0.736161	+	0.676807i	$0.763363\pi$
$942$	−20.0916	−	13.5993i	−0.654619	−	0.443088i
$943$	1.99434	−	1.85048i	0.0649446	−	0.0602598i
$944$	−38.8109	−	35.0499i	−1.26319	−	1.14078i
$945$	0.478856	+	12.8597i	0.0155772	+	0.418327i
$946$	8.47473	+	54.9689i	0.275537	+	1.78719i
$947$	26.8778	−	2.01421i	0.873410	−	0.0654530i	0.369522	−	0.929222i	$-0.379521\pi$
$947$	26.8778	−	2.01421i	0.873410	−	0.0654530i	0.503888	+	0.863769i	$0.331902\pi$
$948$	−1.73353	−	0.383395i	−0.0563023	−	0.0124521i
$949$	−9.14321	+	15.8365i	−0.296801	+	0.514075i
$950$	−7.13124	−	1.60240i	−0.231368	−	0.0519887i
$951$	−4.44767	−	19.4865i	−0.144225	−	0.631893i
$952$	8.57448	−	3.09622i	0.277901	−	0.100349i
$953$	−7.20799	+	31.5803i	−0.233490	+	1.02299i	0.713231	+	0.700929i	$0.247231\pi$
$953$	−7.20799	+	31.5803i	−0.233490	+	1.02299i	−0.946721	+	0.322056i	$0.895626\pi$
$954$	−3.35437	+	7.02587i	−0.108602	+	0.227471i
$955$	−2.09058	−	5.32670i	−0.0676494	−	0.172368i
$956$	−7.77743	−	15.8755i	−0.251540	−	0.513449i
$957$	−10.3455	−	33.5393i	−0.334422	−	1.08417i
$958$	−17.4958	−	25.4768i	−0.565265	−	0.823119i
$959$	22.8835	+	2.58253i	0.738946	+	0.0833941i
$960$	−5.10492	−	10.0743i	−0.164761	−	0.325147i
$961$	12.2551	+	21.2265i	0.395327	+	0.684727i
$962$	13.9100	−	4.34203i	0.448475	−	0.139993i
$963$	1.84389	−	5.97775i	0.0594186	−	0.192630i
$964$	−7.58113	−	48.0961i	−0.244172	−	1.54907i
$965$	−0.956356	−	0.762668i	−0.0307862	−	0.0245512i
$966$	−0.0697970	+	2.03940i	−0.00224568	+	0.0656166i
$967$	−21.9166	+	17.4779i	−0.704790	+	0.562051i	−0.908959	−	0.416885i	$-0.863122\pi$
$967$	−21.9166	+	17.4779i	−0.704790	+	0.562051i	0.204170	+	0.978935i	$0.434551\pi$
$968$	52.9216	−	4.50427i	1.70096	−	0.144773i
$969$	0.355429	+	2.35812i	0.0114180	+	0.0757537i
$970$	−2.19036	+	14.8719i	−0.0703281	+	0.477507i
$971$	−26.0668	−	3.92893i	−0.836522	−	0.126085i	−0.283209	−	0.959058i	$-0.591399\pi$
$971$	−26.0668	−	3.92893i	−0.836522	−	0.126085i	−0.553314	+	0.832973i	$0.686637\pi$
$972$	−4.64110	−	7.91496i	−0.148863	−	0.253872i
$973$	13.8678	+	3.71855i	0.444582	+	0.119211i
$974$	−15.4360	−	38.9439i	−0.494601	−	1.24784i
$975$	−15.6483	+	22.9518i	−0.501146	+	0.735047i
$976$	−31.6975	+	47.8652i	−1.01461	+	1.53213i
$977$	0.455055	−	6.07229i	0.0145585	−	0.194270i	−0.985182	−	0.171510i	$-0.945136\pi$
$977$	0.455055	−	6.07229i	0.0145585	−	0.194270i	0.999741	−	0.0227601i	$-0.00724540\pi$
$978$	−46.4674	+	22.5707i	−1.48586	+	0.721732i
$979$	−81.0296			−2.58972
$980$	11.1065	−	5.43616i	0.354785	−	0.173652i
$981$	−7.08862			−0.226322
$982$	−20.1155	+	9.77073i	−0.641911	+	0.311797i
$983$	2.50398	−	33.4133i	0.0798646	−	1.06572i	−0.802965	−	0.596026i	$-0.796746\pi$
$983$	2.50398	−	33.4133i	0.0798646	−	1.06572i	0.882830	−	0.469693i	$-0.155635\pi$
$984$	−35.5869	+	5.73231i	−1.13447	+	0.182739i
$985$	−6.23935	+	9.15144i	−0.198802	+	0.291589i
$986$	2.55461	+	6.44510i	0.0813553	+	0.205254i
$987$	−9.80330	−	22.4805i	−0.312043	−	0.715561i
$988$	−8.70264	+	5.10297i	−0.276868	+	0.162347i
$989$	2.43164	+	0.366511i	0.0773218	+	0.0116544i
$990$	0.442300	−	3.00309i	0.0140572	−	0.0954445i
$991$	8.52072	+	56.5313i	0.270670	+	1.79578i	0.549561	+	0.835454i	$0.314795\pi$
$991$	8.52072	+	56.5313i	0.270670	+	1.79578i	−0.278891	+	0.960323i	$0.589967\pi$
$992$	−2.38756	−	14.2116i	−0.0758051	−	0.451220i
$993$	13.1479	−	10.4851i	0.417236	−	0.332735i
$994$	−6.01267	+	11.4649i	−0.190710	+	0.363644i
$995$	−6.64998	−	5.30318i	−0.210818	−	0.168122i
$996$	2.51592	−	0.396571i	0.0797201	−	0.0125658i
$997$	−14.7345	+	47.7682i	−0.466647	+	1.51283i	0.350588	+	0.936530i	$0.385982\pi$
$997$	−14.7345	+	47.7682i	−0.466647	+	1.51283i	−0.817236	+	0.576304i	$0.804494\pi$
$998$	−16.0475	+	5.00928i	−0.507976	+	0.158566i
$999$	6.88848	+	11.9312i	0.217942	+	0.377486i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	196.2.p.a.3.17	yes	312
4.3	odd	2	inner	196.2.p.a.3.4	✓	312
49.33	odd	42	inner	196.2.p.a.131.4	yes	312
196.131	even	42	inner	196.2.p.a.131.17	yes	312

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
196.2.p.a.3.4	✓	312	4.3	odd	2	inner
196.2.p.a.3.17	yes	312	1.1	even	1	trivial
196.2.p.a.131.4	yes	312	49.33	odd	42	inner
196.2.p.a.131.17	yes	312	196.131	even	42	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:	\( N \)	\(=\)	\( 196 = 2^{2} \cdot 7^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	196.p (of order \(42\), degree \(12\), minimal)

\(f(q)\)	\(=\)	\(q+(0.617894 + 1.27209i) q^{2} +(-0.119444 + 1.59387i) q^{3} +(-1.23641 + 1.57203i) q^{4} +(-0.497555 + 0.729779i) q^{5} +(-2.10134 + 0.832897i) q^{6} +(-2.00509 - 1.72615i) q^{7} +(-2.76373 - 0.601480i) q^{8} +(0.440352 + 0.0663724i) q^{9} +(-1.23578 - 0.182008i) q^{10} +(0.813315 + 5.39600i) q^{11} +(-2.35792 - 2.15845i) q^{12} +(3.22002 - 2.56788i) q^{13} +(0.956882 - 3.61723i) q^{14} +(-1.10374 - 0.880203i) q^{15} +(-0.942558 - 3.88736i) q^{16} +(0.359079 - 1.16411i) q^{17} +(0.187659 + 0.601178i) q^{18} +(0.612375 + 1.06066i) q^{19} +(-0.532050 - 1.68448i) q^{20} +(2.99075 - 2.98967i) q^{21} +(-6.36164 + 4.36876i) q^{22} +(0.100574 + 0.326053i) q^{23} +(1.28879 - 4.33318i) q^{24} +(1.54169 + 3.92816i) q^{25} +(5.25620 + 2.50947i) q^{26} +(-1.22537 + 5.36872i) q^{27} +(5.19269 - 1.01783i) q^{28} +(0.895454 + 3.92324i) q^{29} +(0.437702 - 1.94793i) q^{30} +(1.27375 - 2.20619i) q^{31} +(4.36267 - 3.60099i) q^{32} +(-8.69764 + 0.651798i) q^{33} +(1.70272 - 0.262513i) q^{34} +(2.25735 - 0.604420i) q^{35} +(-0.648797 + 0.610183i) q^{36} +(1.83396 - 1.70167i) q^{37} +(-0.970876 + 1.43437i) q^{38} +(3.70825 + 5.43900i) q^{39} +(1.81406 - 1.71764i) q^{40} +(-3.45950 - 7.18372i) q^{41} +(5.65109 + 1.95720i) q^{42} +(3.12699 - 6.49327i) q^{43} +(-9.48826 - 5.39313i) q^{44} +(-0.267536 + 0.288336i) q^{45} +(-0.352624 + 0.329405i) q^{46} +(2.11880 - 5.39863i) q^{47} +(6.30851 - 1.03799i) q^{48} +(1.04080 + 6.92219i) q^{49} +(-4.04436 + 4.38835i) q^{50} +(1.81254 + 0.711368i) q^{51} +(0.0555056 + 8.23694i) q^{52} +(9.06213 + 8.40843i) q^{53} +(-7.58663 + 1.75851i) q^{54} +(-4.34255 - 2.09126i) q^{55} +(4.50330 + 5.97665i) q^{56} +(-1.76370 + 0.849354i) q^{57} +(-4.43741 + 3.56324i) q^{58} +(10.8021 - 7.36472i) q^{59} +(2.74838 - 0.646816i) q^{60} +(-9.76203 - 10.5210i) q^{61} +(3.59351 + 0.257124i) q^{62} +(-0.768378 - 0.893198i) q^{63} +(7.27644 + 3.32466i) q^{64} +(0.271848 + 3.62756i) q^{65} +(-6.20336 - 10.6614i) q^{66} +(-7.27321 - 4.19919i) q^{67} +(1.38604 + 2.00380i) q^{68} +(-0.531698 + 0.121357i) q^{69} +(2.16368 + 2.49808i) q^{70} +(-3.37318 - 0.769907i) q^{71} +(-1.17709 - 0.448299i) q^{72} +(-4.13308 + 1.62212i) q^{73} +(3.29786 + 1.28151i) q^{74} +(-6.44510 + 1.98805i) q^{75} +(-2.42455 - 0.348749i) q^{76} +(7.68353 - 12.2234i) q^{77} +(-4.62758 + 8.07794i) q^{78} +(0.480987 - 0.277698i) q^{79} +(3.30589 + 1.24632i) q^{80} +(-7.13403 - 2.20056i) q^{81} +(7.00072 - 8.83956i) q^{82} +(-0.496773 + 0.622934i) q^{83} +(1.00205 + 8.39802i) q^{84} +(0.670878 + 0.841254i) q^{85} +(10.1922 - 0.0343402i) q^{86} +(-6.36008 + 0.958627i) q^{87} +(0.997798 - 15.4023i) q^{88} +(-2.21311 + 14.6830i) q^{89} +(-0.532098 - 0.162169i) q^{90} +(-10.8890 - 0.409403i) q^{91} +(-0.636917 - 0.245031i) q^{92} +(3.36424 + 2.29370i) q^{93} +(8.17672 - 0.640472i) q^{94} +(-1.07874 - 0.0808405i) q^{95} +(5.21841 + 7.38362i) q^{96} -12.0344i q^{97} +(-8.16253 + 5.60117i) q^{98} +2.43012i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 312 q - 13 q^{2} - 13 q^{4} - 22 q^{5} - 14 q^{6} - 4 q^{8} - 4 q^{9} - 20 q^{10} + 9 q^{12} - 28 q^{13} - 51 q^{14} - 17 q^{16} - 22 q^{17} - 12 q^{18} - 14 q^{20} - 34 q^{21} - 18 q^{22} - 44 q^{24} - 48 q^{25}+ \cdots + 183 q^{98}+O(q^{100}) \) 312 * q - 13 * q^2 - 13 * q^4 - 22 * q^5 - 14 * q^6 - 4 * q^8 - 4 * q^9 - 20 * q^10 + 9 * q^12 - 28 * q^13 - 51 * q^14 - 17 * q^16 - 22 * q^17 - 12 * q^18 - 14 * q^20 - 34 * q^21 - 18 * q^22 - 44 * q^24 - 48 * q^25 - 2 * q^26 - 36 * q^28 - 11 * q^30 - 13 * q^32 - 34 * q^33 - 98 * q^34 - 4 * q^36 - 58 * q^37 - 18 * q^38 + 30 * q^40 - 28 * q^41 - 26 * q^42 + 16 * q^44 - 28 * q^45 - 14 * q^46 - 24 * q^49 + 96 * q^50 - 14 * q^52 - 22 * q^53 - 17 * q^54 + 40 * q^56 + 34 * q^57 - 12 * q^58 + 98 * q^60 - 38 * q^61 - 4 * q^64 - 32 * q^65 - 176 * q^66 - 21 * q^68 + 28 * q^69 + 50 * q^70 - 120 * q^72 - 58 * q^73 - 14 * q^74 - 91 * q^76 - 18 * q^77 - 112 * q^78 + 66 * q^80 - 170 * q^81 + 114 * q^82 + 140 * q^84 - 24 * q^85 + 97 * q^86 + 127 * q^88 - 82 * q^89 + 266 * q^90 + 34 * q^92 + 226 * q^94 + 122 * q^96 + 183 * q^98

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

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