LMFDB - Embedded newform 280.2.br.a.67.4

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [280,2,Mod(67,280)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(280, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([6, 6, 3, 8]))

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

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

chi := DirichletCharacter("280.67");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 280 = 2^{3} \cdot 5 \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	280.br (of order $12$, degree $4$, 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:	$2.23581125660$
Analytic rank:	$0$
Dimension:	$176$
Relative dimension:	$44$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			67.4
Character	$\chi$	$=$	280.67
Dual form			280.2.br.a.163.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.38301 - 0.295435i) q^{2} +(-0.482920 - 1.80228i) q^{3} +(1.82544 + 0.817180i) q^{4} +(0.915641 - 2.04000i) q^{5} +(0.135426 + 2.63525i) q^{6} +(-2.62546 - 0.327068i) q^{7} +(-2.28317 - 1.66947i) q^{8} +(-0.416933 + 0.240716i) q^{9} +O(q^{10})$	\(q+(-1.38301 - 0.295435i) q^{2} +(-0.482920 - 1.80228i) q^{3} +(1.82544 + 0.817180i) q^{4} +(0.915641 - 2.04000i) q^{5} +(0.135426 + 2.63525i) q^{6} +(-2.62546 - 0.327068i) q^{7} +(-2.28317 - 1.66947i) q^{8} +(-0.416933 + 0.240716i) q^{9} +(-1.86903 + 2.55083i) q^{10} +(1.74402 - 3.02074i) q^{11} +(0.591249 - 3.68458i) q^{12} +(0.910854 + 0.910854i) q^{13} +(3.53441 + 1.22799i) q^{14} +(-4.11884 - 0.665086i) q^{15} +(2.66443 + 2.98342i) q^{16} +(-2.37832 + 0.637268i) q^{17} +(0.647739 - 0.209737i) q^{18} +(-2.95452 + 1.70579i) q^{19} +(3.33849 - 2.97565i) q^{20} +(0.678417 + 4.88976i) q^{21} +(-3.30444 + 3.66247i) q^{22} +(-0.275285 + 1.02738i) q^{23} +(-1.90626 + 4.92114i) q^{24} +(-3.32320 - 3.73582i) q^{25} +(-0.990622 - 1.52882i) q^{26} +(-3.32290 - 3.32290i) q^{27} +(-4.52533 - 2.74251i) q^{28} +2.97560 q^{29} +(5.49991 + 2.13667i) q^{30} +(-7.85749 - 4.53652i) q^{31} +(-2.80353 - 4.91327i) q^{32} +(-6.28645 - 1.68445i) q^{33} +(3.47751 - 0.178710i) q^{34} +(-3.07119 + 5.05646i) q^{35} +(-0.957793 + 0.0987032i) q^{36} +(3.33414 + 0.893381i) q^{37} +(4.59008 - 1.48626i) q^{38} +(1.20175 - 2.08148i) q^{39} +(-5.49628 + 3.12904i) q^{40} -3.98859 q^{41} +(0.506350 - 6.96302i) q^{42} +(-3.03483 + 3.03483i) q^{43} +(5.65209 - 4.08898i) q^{44} +(0.109301 + 1.07095i) q^{45} +(0.684245 - 1.33955i) q^{46} +(10.6571 + 2.85557i) q^{47} +(4.09025 - 6.24282i) q^{48} +(6.78605 + 1.71741i) q^{49} +(3.49234 + 6.14846i) q^{50} +(2.29707 + 3.97865i) q^{51} +(0.918374 + 2.40704i) q^{52} +(11.8663 - 3.17958i) q^{53} +(3.61391 + 5.57731i) q^{54} +(-4.56541 - 6.32372i) q^{55} +(5.44835 + 5.12987i) q^{56} +(4.50111 + 4.50111i) q^{57} +(-4.11529 - 0.879098i) q^{58} +(-2.06157 - 1.19025i) q^{59} +(-6.97518 - 4.57990i) q^{60} +(-3.17179 + 1.83123i) q^{61} +(9.52674 + 8.59544i) q^{62} +(1.17337 - 0.495625i) q^{63} +(2.42577 + 7.62336i) q^{64} +(2.69216 - 1.02413i) q^{65} +(8.19658 + 4.18685i) q^{66} +(11.6736 - 3.12794i) q^{67} +(-4.86223 - 0.780220i) q^{68} +1.98456 q^{69} +(5.74135 - 6.08580i) q^{70} -9.53640i q^{71} +(1.35380 + 0.146458i) q^{72} +(-2.88652 - 10.7726i) q^{73} +(-4.34722 - 2.22058i) q^{74} +(-5.12815 + 7.79345i) q^{75} +(-6.78722 + 0.699441i) q^{76} +(-5.56685 + 7.36040i) q^{77} +(-2.27697 + 2.52368i) q^{78} +(2.88665 + 4.99982i) q^{79} +(8.52584 - 2.70371i) q^{80} +(-5.10626 + 8.84430i) q^{81} +(5.51626 + 1.17837i) q^{82} +(9.03619 - 9.03619i) q^{83} +(-2.75741 + 9.48034i) q^{84} +(-0.877656 + 5.43528i) q^{85} +(5.09380 - 3.30061i) q^{86} +(-1.43698 - 5.36288i) q^{87} +(-9.02493 + 3.98528i) q^{88} +(13.2433 - 7.64601i) q^{89} +(0.165233 - 1.51343i) q^{90} +(-2.09350 - 2.68932i) q^{91} +(-1.34207 + 1.65045i) q^{92} +(-4.38156 + 16.3522i) q^{93} +(-13.8953 - 7.09776i) q^{94} +(0.774538 + 7.58910i) q^{95} +(-7.50121 + 7.42548i) q^{96} +(7.94771 + 7.94771i) q^{97} +(-8.87780 - 4.38003i) q^{98} +1.67926i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 176 q - 2 q^{2} - 4 q^{3} - 16 q^{6} - 20 q^{8}+O(q^{10}) $ 176 * q - 2 * q^2 - 4 * q^3 - 16 * q^6 - 20 * q^8	$ 176 q - 2 q^{2} - 4 q^{3} - 16 q^{6} - 20 q^{8} - 2 q^{10} - 8 q^{11} - 14 q^{12} + 4 q^{16} - 4 q^{17} - 16 q^{18} + 8 q^{20} - 4 q^{25} - 20 q^{26} - 40 q^{27} - 34 q^{28} - 12 q^{30} + 18 q^{32} + 20 q^{33} - 32 q^{35} - 48 q^{36} - 16 q^{38} - 22 q^{40} - 32 q^{41} + 30 q^{42} - 16 q^{43} + 20 q^{46} + 36 q^{48} + 68 q^{50} - 8 q^{51} - 32 q^{52} - 52 q^{56} - 40 q^{57} - 14 q^{58} - 50 q^{60} + 56 q^{62} - 4 q^{65} - 60 q^{66} - 28 q^{67} - 40 q^{68} + 64 q^{70} - 48 q^{72} - 4 q^{73} - 4 q^{75} - 144 q^{76} + 184 q^{78} - 40 q^{80} + 32 q^{81} + 74 q^{82} - 16 q^{83} - 56 q^{86} - 64 q^{88} - 56 q^{90} + 16 q^{91} + 44 q^{92} - 104 q^{96} - 48 q^{97} + 70 q^{98}+O(q^{100}) $ 176 * q - 2 * q^2 - 4 * q^3 - 16 * q^6 - 20 * q^8 - 2 * q^10 - 8 * q^11 - 14 * q^12 + 4 * q^16 - 4 * q^17 - 16 * q^18 + 8 * q^20 - 4 * q^25 - 20 * q^26 - 40 * q^27 - 34 * q^28 - 12 * q^30 + 18 * q^32 + 20 * q^33 - 32 * q^35 - 48 * q^36 - 16 * q^38 - 22 * q^40 - 32 * q^41 + 30 * q^42 - 16 * q^43 + 20 * q^46 + 36 * q^48 + 68 * q^50 - 8 * q^51 - 32 * q^52 - 52 * q^56 - 40 * q^57 - 14 * q^58 - 50 * q^60 + 56 * q^62 - 4 * q^65 - 60 * q^66 - 28 * q^67 - 40 * q^68 + 64 * q^70 - 48 * q^72 - 4 * q^73 - 4 * q^75 - 144 * q^76 + 184 * q^78 - 40 * q^80 + 32 * q^81 + 74 * q^82 - 16 * q^83 - 56 * q^86 - 64 * q^88 - 56 * q^90 + 16 * q^91 + 44 * q^92 - 104 * q^96 - 48 * q^97 + 70 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/280\mathbb{Z}\right)^\times$.

$n$	$57$	$71$	$141$	$241$
$\chi(n)$	$e\left(\frac{1}{4}\right)$	$-1$	$-1$	$e\left(\frac{2}{3}\right)$

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 $

$2$	−1.38301	−	0.295435i	−0.977936	−	0.208904i
$2$	−1.38301	−	0.295435i	−0.977936	−	0.208904i
$3$	−0.482920	−	1.80228i	−0.278814	−	1.04055i	−0.953242	−	0.302208i	$-0.902276\pi$
$3$	−0.482920	−	1.80228i	−0.278814	−	1.04055i	0.674428	−	0.738341i	$-0.264390\pi$
$4$	1.82544	+	0.817180i	0.912718	+	0.408590i
$5$	0.915641	−	2.04000i	0.409487	−	0.912316i
$5$	0.915641	−	2.04000i	0.409487	−	0.912316i
$6$	0.135426	+	2.63525i	0.0552875	+	1.07583i
$7$	−2.62546	−	0.327068i	−0.992330	−	0.123620i
$7$	−2.62546	−	0.327068i	−0.992330	−	0.123620i
$8$	−2.28317	−	1.66947i	−0.807224	−	0.590245i
$9$	−0.416933	+	0.240716i	−0.138978	+	0.0802388i
$10$	−1.86903	+	2.55083i	−0.591039	+	0.806643i
$11$	1.74402	−	3.02074i	0.525843	−	0.910787i	−0.473704	−	0.880684i	$-0.657083\pi$
$11$	1.74402	−	3.02074i	0.525843	−	0.910787i	0.999547	−	0.0301026i	$-0.00958339\pi$
$12$	0.591249	−	3.68458i	0.170679	−	1.06365i
$13$	0.910854	+	0.910854i	0.252625	+	0.252625i	0.822046	−	0.569421i	$-0.192832\pi$
$13$	0.910854	+	0.910854i	0.252625	+	0.252625i	−0.569421	+	0.822046i	$0.692832\pi$
$14$	3.53441	+	1.22799i	0.944610	+	0.328194i
$15$	−4.11884	−	0.665086i	−1.06348	−	0.171724i
$16$	2.66443	+	2.98342i	0.666109	+	0.745855i
$17$	−2.37832	+	0.637268i	−0.576826	+	0.154560i	−0.535426	−	0.844582i	$-0.679849\pi$
$17$	−2.37832	+	0.637268i	−0.576826	+	0.154560i	−0.0414009	+	0.999143i	$0.513182\pi$
$18$	0.647739	−	0.209737i	0.152674	−	0.0494354i
$19$	−2.95452	+	1.70579i	−0.677812	+	0.391335i	−0.799030	−	0.601291i	$-0.794653\pi$
$19$	−2.95452	+	1.70579i	−0.677812	+	0.391335i	0.121218	+	0.992626i	$0.461320\pi$
$20$	3.33849	−	2.97565i	0.746509	−	0.665375i
$21$	0.678417	+	4.88976i	0.148043	+	1.06703i
$22$	−3.30444	+	3.66247i	−0.704508	+	0.780840i
$23$	−0.275285	+	1.02738i	−0.0574009	+	0.214223i	−0.988669	−	0.150111i	$-0.952037\pi$
$23$	−0.275285	+	1.02738i	−0.0574009	+	0.214223i	0.931268	+	0.364334i	$0.118703\pi$
$24$	−1.90626	+	4.92114i	−0.389113	+	1.00452i
$25$	−3.32320	−	3.73582i	−0.664641	−	0.747163i
$26$	−0.990622	−	1.52882i	−0.194277	−	0.299826i
$27$	−3.32290	−	3.32290i	−0.639493	−	0.639493i
$28$	−4.52533	−	2.74251i	−0.855207	−	0.518286i
$29$	2.97560			0.552556			0.276278	−	0.961078i	$-0.410899\pi$
$29$	2.97560			0.552556			0.276278	+	0.961078i	$0.410899\pi$
$30$	5.49991	+	2.13667i	1.00414	+	0.390101i
$31$	−7.85749	−	4.53652i	−1.41125	−	0.814784i	−0.415741	−	0.909483i	$-0.636478\pi$
$31$	−7.85749	−	4.53652i	−1.41125	−	0.814784i	−0.995506	+	0.0946991i	$0.969811\pi$
$32$	−2.80353	−	4.91327i	−0.495600	−	0.868551i
$33$	−6.28645	−	1.68445i	−1.09433	−	0.293225i
$34$	3.47751	−	0.178710i	0.596388	−	0.0306485i
$35$	−3.07119	+	5.05646i	−0.519127	+	0.854697i
$36$	−0.957793	+	0.0987032i	−0.159632	+	0.0164505i
$37$	3.33414	+	0.893381i	0.548130	+	0.146871i	0.522247	−	0.852794i	$-0.325094\pi$
$37$	3.33414	+	0.893381i	0.548130	+	0.146871i	0.0258824	+	0.999665i	$0.491760\pi$
$38$	4.59008	−	1.48626i	0.744609	−	0.241103i
$39$	1.20175	−	2.08148i	0.192433	−	0.333304i
$40$	−5.49628	+	3.12904i	−0.869038	+	0.494745i
$41$	−3.98859			−0.622913			−0.311457	−	0.950260i	$-0.600817\pi$
$41$	−3.98859			−0.622913			−0.311457	+	0.950260i	$0.600817\pi$
$42$	0.506350	−	6.96302i	0.0781315	−	1.07442i
$43$	−3.03483	+	3.03483i	−0.462807	+	0.462807i	−0.899575	−	0.436767i	$-0.856123\pi$
$43$	−3.03483	+	3.03483i	−0.462807	+	0.462807i	0.436767	+	0.899575i	$0.356123\pi$
$44$	5.65209	−	4.08898i	0.852085	−	0.616437i
$45$	0.109301	+	1.07095i	0.0162936	+	0.159648i
$46$	0.684245	−	1.33955i	0.100886	−	0.197505i
$47$	10.6571	+	2.85557i	1.55450	+	0.416527i	0.930917	−	0.365230i	$-0.119010\pi$
$47$	10.6571	+	2.85557i	1.55450	+	0.416527i	0.623583	+	0.781757i	$0.285676\pi$
$48$	4.09025	−	6.24282i	0.590377	−	0.901073i
$49$	6.78605	+	1.71741i	0.969436	+	0.245344i
$50$	3.49234	+	6.14846i	0.493891	+	0.869524i
$51$	2.29707	+	3.97865i	0.321655	+	0.557122i
$52$	0.918374	+	2.40704i	0.127356	+	0.333796i
$53$	11.8663	−	3.17958i	1.62997	−	0.436749i	0.676060	−	0.736847i	$-0.263686\pi$
$53$	11.8663	−	3.17958i	1.62997	−	0.436749i	0.953908	+	0.300098i	$0.0970193\pi$
$54$	3.61391	+	5.57731i	0.491790	+	0.758976i
$55$	−4.56541	−	6.32372i	−0.615599	−	0.852690i
$56$	5.44835	+	5.12987i	0.728066	+	0.685507i
$57$	4.50111	+	4.50111i	0.596187	+	0.596187i
$58$	−4.11529	−	0.879098i	−0.540364	−	0.115431i
$59$	−2.06157	−	1.19025i	−0.268394	−	0.154957i	0.359764	−	0.933043i	$-0.382857\pi$
$59$	−2.06157	−	1.19025i	−0.268394	−	0.154957i	−0.628158	+	0.778086i	$0.716191\pi$
$60$	−6.97518	−	4.57990i	−0.900492	−	0.591263i
$61$	−3.17179	+	1.83123i	−0.406106	+	0.234465i	−0.689115	−	0.724652i	$-0.742001\pi$
$61$	−3.17179	+	1.83123i	−0.406106	+	0.234465i	0.283009	+	0.959117i	$0.408667\pi$
$62$	9.52674	+	8.59544i	1.20990	+	1.09162i
$63$	1.17337	−	0.495625i	0.147831	−	0.0624429i
$64$	2.42577	+	7.62336i	0.303221	+	0.952920i
$65$	2.69216	−	1.02413i	0.333921	−	0.127027i
$66$	8.19658	+	4.18685i	1.00893	+	0.515365i
$67$	11.6736	−	3.12794i	1.42616	−	0.382139i	0.538496	−	0.842628i	$-0.318993\pi$
$67$	11.6736	−	3.12794i	1.42616	−	0.382139i	0.887665	+	0.460489i	$0.152326\pi$
$68$	−4.86223	−	0.780220i	−0.589632	−	0.0946156i
$69$	1.98456			0.238914
$70$	5.74135	−	6.08580i	0.686223	−	0.727392i
$71$		−	9.53640i		−	1.13176i	−0.824487	−	0.565881i	$-0.808536\pi$
$71$		−	9.53640i		−	1.13176i	0.824487	−	0.565881i	$-0.191464\pi$
$72$	1.35380	+	0.146458i	0.159547	+	0.0172603i
$73$	−2.88652	−	10.7726i	−0.337842	−	1.26084i	−0.900755	−	0.434327i	$-0.856986\pi$
$73$	−2.88652	−	10.7726i	−0.337842	−	1.26084i	0.562913	−	0.826516i	$-0.309680\pi$
$74$	−4.34722	−	2.22058i	−0.505354	−	0.258137i
$75$	−5.12815	+	7.79345i	−0.592148	+	0.899910i
$76$	−6.78722	+	0.699441i	−0.778547	+	0.0802314i
$77$	−5.56685	+	7.36040i	−0.634401	+	0.838796i
$78$	−2.27697	+	2.52368i	−0.257816	+	0.285750i
$79$	2.88665	+	4.99982i	0.324774	+	0.562524i	0.981467	−	0.191634i	$-0.0613786\pi$
$79$	2.88665	+	4.99982i	0.324774	+	0.562524i	−0.656693	+	0.754158i	$0.728045\pi$
$80$	8.52584	−	2.70371i	0.953218	−	0.302284i
$81$	−5.10626	+	8.84430i	−0.567362	+	0.982700i
$82$	5.51626	+	1.17837i	0.609170	+	0.130129i
$83$	9.03619	−	9.03619i	0.991851	−	0.991851i	−0.00811655	−	0.999967i	$-0.502584\pi$
$83$	9.03619	−	9.03619i	0.991851	−	0.991851i	0.999967	+	0.00811655i	$0.00258361\pi$
$84$	−2.75741	+	9.48034i	−0.300858	+	1.03439i
$85$	−0.877656	+	5.43528i	−0.0951952	+	0.589538i
$86$	5.09380	−	3.30061i	0.549278	−	0.355914i
$87$	−1.43698	−	5.36288i	−0.154060	−	0.574961i
$88$	−9.02493	+	3.98528i	−0.962061	+	0.424832i
$89$	13.2433	−	7.64601i	1.40378	−	0.810476i	0.409006	−	0.912532i	$-0.365875\pi$
$89$	13.2433	−	7.64601i	1.40378	−	0.810476i	0.994779	+	0.102056i	$0.0325421\pi$
$90$	0.165233	−	1.51343i	0.0174171	−	0.159530i
$91$	−2.09350	−	2.68932i	−0.219458	−	0.281917i
$92$	−1.34207	+	1.65045i	−0.139920	+	0.172072i
$93$	−4.38156	+	16.3522i	−0.454346	+	1.69564i
$94$	−13.8953	−	7.09776i	−1.43319	−	0.732078i
$95$	0.774538	+	7.58910i	0.0794660	+	0.778626i
$96$	−7.50121	+	7.42548i	−0.765589	+	0.757859i
$97$	7.94771	+	7.94771i	0.806968	+	0.806968i	0.984174	−	0.177206i	$-0.0567058\pi$
$97$	7.94771	+	7.94771i	0.806968	+	0.806968i	−0.177206	+	0.984174i	$0.556706\pi$
$98$	−8.87780	−	4.38003i	−0.896793	−	0.442450i
$99$			1.67926i			0.168772i
$100$	−3.01346	−	9.53515i	−0.301346	−	0.953515i
$101$	−2.40282	−	1.38727i	−0.239090	−	0.138039i	0.375669	−	0.926754i	$-0.377413\pi$
$101$	−2.40282	−	1.38727i	−0.239090	−	0.138039i	−0.614758	+	0.788716i	$0.710746\pi$
$102$	−2.00144	−	6.18115i	−0.198173	−	0.612025i
$103$	−0.240208	+	0.896469i	−0.0236684	+	0.0883317i	−0.976750	−	0.214383i	$-0.931226\pi$
$103$	−0.240208	+	0.896469i	−0.0236684	+	0.0883317i	0.953081	+	0.302714i	$0.0978928\pi$
$104$	−0.558998	−	3.60028i	−0.0548143	−	0.353036i
$105$	10.5963	+	3.09330i	1.03409	+	0.301875i
$106$	−17.3506	+	0.891655i	−1.68524	+	0.0866051i
$107$	4.56526	−	17.0378i	0.441340	−	1.64710i	−0.284081	−	0.958800i	$-0.591689\pi$
$107$	4.56526	−	17.0378i	0.441340	−	1.64710i	0.725422	−	0.688305i	$-0.241645\pi$
$108$	−3.35034	−	8.78115i	−0.322386	−	0.844967i
$109$	2.73017	−	4.72879i	0.261503	−	0.452936i	−0.705139	−	0.709069i	$-0.749115\pi$
$109$	2.73017	−	4.72879i	0.261503	−	0.452936i	0.966641	+	0.256133i	$0.0824486\pi$
$110$	4.44576	+	10.0946i	0.423886	+	0.962478i
$111$		−	6.44050i		−	0.611305i
$112$	−6.01958	−	8.70429i	−0.568797	−	0.822478i
$113$	−8.73965	+	8.73965i	−0.822157	+	0.822157i	−0.986417	−	0.164260i	$-0.947476\pi$
$113$	−8.73965	+	8.73965i	−0.822157	+	0.822157i	0.164260	+	0.986417i	$0.447476\pi$
$114$	−4.89530	−	7.55487i	−0.458487	−	0.707578i
$115$	1.84379	+	1.50229i	0.171934	+	0.140089i
$116$	5.43178	+	2.43160i	0.504328	+	0.225769i
$117$	−0.599022	−	0.160508i	−0.0553796	−	0.0148389i
$118$	2.49954	+	2.25519i	0.230101	+	0.207607i
$119$	6.45260	−	0.895248i	0.591509	−	0.0820673i
$120$	8.29368	+	8.39477i	0.757106	+	0.766334i
$121$	−0.583239	−	1.01020i	−0.0530217	−	0.0918363i
$122$	4.92763	−	1.59556i	0.446126	−	0.144455i
$123$	1.92617	+	7.18857i	0.173677	+	0.648171i
$124$	−10.6362	−	14.7021i	−0.955158	−	1.32029i
$125$	−10.6639	+	3.35867i	−0.953811	+	0.300409i
$126$	−1.76921	+	0.338800i	−0.157614	+	0.0301827i
$127$	−7.69989	+	7.69989i	−0.683254	+	0.683254i	−0.960732	−	0.277478i	$-0.910502\pi$
$127$	−7.69989	+	7.69989i	−0.683254	+	0.683254i	0.277478	+	0.960732i	$0.410502\pi$
$128$	−1.10265	−	11.2598i	−0.0974615	−	0.995239i
$129$	6.93520	+	4.00404i	0.610611	+	0.352536i
$130$	−4.02584	+	0.621021i	−0.353090	+	0.0544672i
$131$	7.06778	+	12.2418i	0.617515	+	1.06957i	0.989938	+	0.141504i	$0.0451938\pi$
$131$	7.06778	+	12.2418i	0.617515	+	1.06957i	−0.372423	+	0.928063i	$0.621473\pi$
$132$	−10.0990	−	8.21201i	−0.879006	−	0.714764i
$133$	8.31486	−	3.51215i	0.720990	−	0.304542i
$134$	−17.0689	+	0.877174i	−1.47453	+	0.0757763i
$135$	−9.82131	+	3.73614i	−0.845283	+	0.321556i
$136$	6.49401	+	2.51553i	0.556857	+	0.215704i
$137$	−21.1956	+	5.67933i	−1.81086	+	0.485218i	−0.995586	−	0.0938576i	$-0.970080\pi$
$137$	−21.1956	+	5.67933i	−1.81086	+	0.485218i	−0.815274	+	0.579076i	$0.803413\pi$
$138$	−2.74467	−	0.586310i	−0.233642	−	0.0499100i
$139$			2.98036i			0.252791i	0.991980	+	0.126395i	$0.0403408\pi$
$139$			2.98036i			0.252791i	−0.991980	+	0.126395i	$0.959659\pi$
$140$	−9.73830	+	6.72052i	−0.823037	+	0.567988i
$141$		−	20.5861i		−	1.73367i
$142$	−2.81739	+	13.1889i	−0.236430	+	1.10679i
$143$	4.34000	−	1.16290i	0.362929	−	0.0972466i
$144$	−1.82905	−	0.602513i	−0.152421	−	0.0502094i
$145$	2.72458	−	6.07023i	0.226264	−	0.504106i
$146$	0.809472	+	15.7515i	0.0669924	+	1.30360i
$147$	−0.181869	−	13.0598i	−0.0150003	−	1.07715i
$148$	5.35621	+	4.35540i	0.440278	+	0.358012i
$149$	−4.71321	−	8.16352i	−0.386121	−	0.668781i	0.605803	−	0.795615i	$-0.292852\pi$
$149$	−4.71321	−	8.16352i	−0.386121	−	0.668781i	−0.991924	+	0.126833i	$0.959519\pi$
$150$	9.39475	−	9.26339i	0.767078	−	0.756353i
$151$	8.00428	+	4.62127i	0.651379	+	0.376074i	0.788984	−	0.614413i	$-0.210607\pi$
$151$	8.00428	+	4.62127i	0.651379	+	0.376074i	−0.137605	+	0.990487i	$0.543941\pi$
$152$	9.59343	+	1.03785i	0.778130	+	0.0841806i
$153$	0.838198	−	0.838198i	0.0677643	−	0.0677643i
$154$	9.87353	−	8.53487i	0.795632	−	0.687760i
$155$	−16.4492	+	11.8755i	−1.32123	+	0.953860i
$156$	3.89466	−	2.81758i	0.311822	−	0.225587i
$157$	−0.634978	−	2.36977i	−0.0506767	−	0.189128i	0.935947	−	0.352140i	$-0.114546\pi$
$157$	−0.634978	−	2.36977i	−0.0506767	−	0.189128i	−0.986624	+	0.163012i	$0.947879\pi$
$158$	−2.51514	−	7.76763i	−0.200094	−	0.617959i
$159$	−11.4610	−	19.8510i	−0.908916	−	1.57429i
$160$	−12.5901	+	1.22042i	−0.995335	+	0.0964830i
$161$	1.05877	−	2.60730i	0.0834429	−	0.205484i
$162$	9.67493	−	10.7232i	0.760134	−	0.842494i
$163$	17.6116	+	4.71901i	1.37945	+	0.369621i	0.870920	−	0.491425i	$-0.163524\pi$
$163$	17.6116	+	4.71901i	1.37945	+	0.369621i	0.508526	+	0.861047i	$0.330191\pi$
$164$	−7.28092	−	3.25940i	−0.568544	−	0.254516i
$165$	−9.19240	+	11.2820i	−0.715628	+	0.878303i
$166$	−15.1668	+	9.82754i	−1.17717	+	0.762765i
$167$	−5.14267	+	5.14267i	−0.397952	+	0.397952i	−0.877510	−	0.479558i	$-0.840797\pi$
$167$	−5.14267	+	5.14267i	−0.397952	+	0.397952i	0.479558	+	0.877510i	$0.340797\pi$
$168$	6.61435	−	12.2968i	0.510308	−	0.948717i
$169$		−	11.3407i		−	0.872361i
$170$	2.81958	−	7.25775i	0.216252	−	0.556644i
$171$	0.821224	−	1.42240i	0.0628005	−	0.108774i
$172$	−8.01989	+	3.05989i	−0.611511	+	0.233314i
$173$	4.45242	−	16.6167i	0.338511	−	1.26334i	−0.561501	−	0.827476i	$-0.689776\pi$
$173$	4.45242	−	16.6167i	0.338511	−	1.26334i	0.900012	−	0.435865i	$-0.143557\pi$
$174$	0.402974	+	7.84145i	0.0305494	+	0.594459i
$175$	7.50306	+	10.8951i	0.567178	+	0.823595i
$176$	13.6590	−	2.84540i	1.02958	−	0.214480i
$177$	−1.14959	+	4.29033i	−0.0864086	+	0.322481i
$178$	−20.5745	+	6.66198i	−1.54212	+	0.499337i
$179$	3.53063	+	2.03841i	0.263892	+	0.152358i	0.626109	−	0.779736i	$-0.284647\pi$
$179$	3.53063	+	2.03841i	0.263892	+	0.152358i	−0.362217	+	0.932094i	$0.617980\pi$
$180$	−0.675640	+	2.04428i	−0.0503592	+	0.152371i
$181$		−	24.8454i		−	1.84674i	−0.383906	−	0.923372i	$-0.625421\pi$
$181$		−	24.8454i		−	1.84674i	0.383906	−	0.923372i	$-0.374579\pi$
$182$	2.10081	+	4.33785i	0.155722	+	0.321543i
$183$	4.83212	+	4.83212i	0.357200	+	0.357200i
$184$	2.34370	−	1.88610i	0.172780	−	0.139045i
$185$	4.87537	−	5.98364i	0.358445	−	0.439926i
$186$	10.8908	−	21.3208i	0.798549	−	1.56332i
$187$	−2.22282	+	8.29568i	−0.162549	+	0.606640i
$188$	17.1204	+	13.9214i	1.24863	+	1.01532i
$189$	7.63732	+	9.81095i	0.555533	+	0.713642i
$190$	1.17089	−	10.7246i	0.0849455	−	0.778047i
$191$	−12.6290	+	7.29134i	−0.913800	+	0.527583i	−0.881652	−	0.471901i	$-0.843568\pi$
$191$	−12.6290	+	7.29134i	−0.913800	+	0.527583i	−0.0321480	+	0.999483i	$0.510235\pi$
$192$	12.5680	−	8.05339i	0.907017	−	0.581203i
$193$	3.57074	+	13.3262i	0.257027	+	0.959238i	0.966951	+	0.254960i	$0.0820625\pi$
$193$	3.57074	+	13.3262i	0.257027	+	0.959238i	−0.709924	+	0.704278i	$0.751271\pi$
$194$	−8.64374	−	13.3398i	−0.620584	−	0.957742i
$195$	−3.14586	−	4.35745i	−0.225280	−	0.312044i
$196$	10.9841	+	8.68044i	0.784577	+	0.620032i
$197$	−3.70883	+	3.70883i	−0.264243	+	0.264243i	−0.826775	−	0.562532i	$-0.809827\pi$
$197$	−3.70883	+	3.70883i	−0.264243	+	0.264243i	0.562532	+	0.826775i	$0.309827\pi$
$198$	0.496113	−	2.32244i	0.0352572	−	0.165048i
$199$	−7.34916	+	12.7291i	−0.520968	+	0.902343i	0.478735	+	0.877960i	$0.341096\pi$
$199$	−7.34916	+	12.7291i	−0.520968	+	0.902343i	−0.999703	+	0.0243835i	$0.992238\pi$
$200$	1.35064	+	14.0775i	0.0955044	+	0.995429i
$201$	−11.2749	−	19.5286i	−0.795268	−	1.37744i
$202$	2.91328	+	2.62849i	0.204978	+	0.184940i
$203$	−7.81232	−	0.973225i	−0.548318	−	0.0683070i
$204$	0.941891	+	9.13989i	0.0659455	+	0.639920i
$205$	−3.65212	+	8.13673i	−0.255075	+	0.568294i
$206$	0.597059	−	1.16886i	0.0415990	−	0.0814383i
$207$	−0.132531	−	0.494613i	−0.00921156	−	0.0343780i
$208$	−0.290548	+	5.14437i	−0.0201459	+	0.356698i
$209$			11.8998i			0.823123i
$210$	−13.7409	−	7.40858i	−0.948214	−	0.511241i
$211$	12.3644			0.851204			0.425602	−	0.904911i	$-0.360062\pi$
$211$	12.3644			0.851204			0.425602	+	0.904911i	$0.360062\pi$
$212$	24.2596	+	3.89282i	1.66615	+	0.267360i
$213$	−17.1873	+	4.60532i	−1.17765	+	0.315551i
$214$	−11.3474	+	22.2147i	−0.775690	+	1.51857i
$215$	3.41224	+	8.96987i	0.232713	+	0.611740i
$216$	2.03929	+	13.1342i	0.138756	+	0.893672i
$217$	19.1458	+	14.4804i	1.29970	+	0.982993i
$218$	−5.17290	+	5.73338i	−0.350353	+	0.388313i
$219$	−18.0214	+	10.4047i	−1.21777	+	0.703081i
$220$	−3.16624	−	15.2743i	−0.213468	−	1.02979i
$221$	−2.74676	−	1.58584i	−0.184767	−	0.106675i
$222$	−1.90275	+	8.90728i	−0.127704	+	0.597817i
$223$	4.21875	+	4.21875i	0.282509	+	0.282509i	0.834109	−	0.551600i	$-0.185983\pi$
$223$	4.21875	+	4.21875i	0.282509	+	0.282509i	−0.551600	+	0.834109i	$0.685983\pi$
$224$	5.75359	+	13.8165i	0.384428	+	0.923155i
$225$	2.28483	+	0.757635i	0.152322	+	0.0505090i
$226$	14.6690	−	9.50503i	0.975769	−	0.632265i
$227$	−24.4066	+	6.53973i	−1.61992	+	0.434057i	−0.950979	−	0.309255i	$-0.899920\pi$
$227$	−24.4066	+	6.53973i	−1.61992	+	0.434057i	−0.668944	+	0.743312i	$0.733254\pi$
$228$	4.53827	+	11.8947i	0.300555	+	0.787746i
$229$	3.56495	+	6.17467i	0.235578	+	0.408034i	0.959441	−	0.281911i	$-0.0909682\pi$
$229$	3.56495	+	6.17467i	0.235578	+	0.408034i	−0.723862	+	0.689945i	$0.757635\pi$
$230$	−2.10615	−	2.62240i	−0.138875	−	0.172916i
$231$	15.9539	+	6.47854i	1.04969	+	0.426257i
$232$	−6.79382	−	4.96767i	−0.446036	−	0.326144i
$233$	−0.735312	−	0.197026i	−0.0481719	−	0.0129076i	0.234653	−	0.972079i	$-0.424605\pi$
$233$	−0.735312	−	0.197026i	−0.0481719	−	0.0129076i	−0.282825	+	0.959172i	$0.591271\pi$
$234$	0.781035	+	0.398956i	0.0510578	+	0.0260806i
$235$	15.5834	−	19.1259i	1.01655	−	1.24763i
$236$	−2.79062	−	3.85740i	−0.181654	−	0.251095i
$237$	7.61707	−	7.61707i	0.494782	−	0.494782i
$238$	−9.18850	−	0.668186i	−0.595602	−	0.0433121i
$239$	19.4097			1.25551			0.627756	−	0.778410i	$-0.283974\pi$
$239$	19.4097			1.25551			0.627756	+	0.778410i	$0.283974\pi$
$240$	−8.99014	−	14.0603i	−0.580311	−	0.907588i
$241$	3.83933	−	6.64991i	0.247313	−	0.428358i	−0.715467	−	0.698647i	$-0.753786\pi$
$241$	3.83933	−	6.64991i	0.247313	−	0.428358i	0.962779	+	0.270289i	$0.0871192\pi$
$242$	0.508177	+	1.56943i	0.0326669	+	0.100886i
$243$	4.78834	+	1.28303i	0.307172	+	0.0823065i
$244$	−7.28634	+	0.750877i	−0.466460	+	0.0480700i
$245$	9.71710	−	12.2710i	0.620803	−	0.783967i
$246$	−0.540159	−	10.5109i	−0.0344393	−	0.670152i
$247$	−4.24486	−	1.13741i	−0.270094	−	0.0723714i
$248$	10.3664	+	23.4755i	0.658270	+	1.49070i
$249$	−20.6495	−	11.9220i	−1.30861	−	0.755526i
$250$	15.7406	−	1.49458i	0.995522	−	0.0945257i
$251$	5.63865			0.355908			0.177954	−	0.984039i	$-0.443052\pi$
$251$	5.63865			0.355908			0.177954	+	0.984039i	$0.443052\pi$
$252$	2.54693	+	0.0541226i	0.160441	+	0.00340940i
$253$	2.62333	+	2.62333i	0.164928	+	0.164928i
$254$	12.9238	−	8.37421i	0.810914	−	0.525445i
$255$	10.2197	−	1.04302i	0.639985	−	0.0653164i
$256$	−1.80158	+	15.8982i	−0.112599	+	0.993641i
$257$	1.43554	−	5.35753i	0.0895468	−	0.334193i	−0.906590	−	0.422014i	$-0.861323\pi$
$257$	1.43554	−	5.35753i	0.0895468	−	0.334193i	0.996136	+	0.0878203i	$0.0279901\pi$
$258$	−8.40852	−	7.58653i	−0.523492	−	0.472317i
$259$	−8.46145	−	3.43603i	−0.525769	−	0.213504i
$260$	5.75126	+	0.330497i	0.356678	+	0.0204966i
$261$	−1.24063	+	0.716277i	−0.0767929	+	0.0443364i
$262$	−6.15817	−	19.0185i	−0.380453	−	1.17497i
$263$	18.4822	−	4.95229i	1.13966	−	0.305371i	0.360846	−	0.932625i	$-0.382488\pi$
$263$	18.4822	−	4.95229i	1.13966	−	0.305371i	0.778815	+	0.627254i	$0.215821\pi$
$264$	11.5409	+	14.3409i	0.710295	+	0.882621i
$265$	4.37897	−	27.1187i	0.268998	−	1.66589i
$266$	−12.5372	+	2.40084i	−0.768702	+	0.147205i
$267$	−20.1757	−	20.1757i	−1.23473	−	1.23473i
$268$	23.8656	+	3.82960i	1.45782	+	0.233930i
$269$	1.61993	−	2.80580i	0.0987687	−	0.171072i	−0.812407	−	0.583091i	$-0.801843\pi$
$269$	1.61993	−	2.80580i	0.0987687	−	0.171072i	0.911175	+	0.412019i	$0.135176\pi$
$270$	14.6868	−	2.26556i	0.893808	−	0.137878i
$271$	−3.92998	+	2.26897i	−0.238729	+	0.137830i	−0.614593	−	0.788845i	$-0.710680\pi$
$271$	−3.92998	+	2.26897i	−0.238729	+	0.137830i	0.375863	+	0.926675i	$0.377346\pi$
$272$	−8.23811	−	5.39756i	−0.499509	−	0.327275i
$273$	−3.83592	+	5.07180i	−0.232160	+	0.306959i
$274$	30.9916	−	1.59267i	1.87227	−	0.0962164i
$275$	−17.0807	+	3.52318i	−1.03000	+	0.212456i
$276$	3.62270	+	1.62175i	0.218061	+	0.0976177i
$277$	2.67678	+	9.98989i	0.160832	+	0.600235i	0.998535	+	0.0541081i	$0.0172315\pi$
$277$	2.67678	+	9.98989i	0.160832	+	0.600235i	−0.837703	+	0.546127i	$0.816102\pi$
$278$	0.880503	−	4.12187i	0.0528090	−	0.247213i
$279$	4.36806			0.261509
$280$	15.4537	−	6.41752i	0.923533	−	0.383520i
$281$	23.2542			1.38723			0.693614	−	0.720347i	$-0.256017\pi$
$281$	23.2542			1.38723			0.693614	+	0.720347i	$0.256017\pi$
$282$	−6.08187	+	28.4708i	−0.362170	+	1.69541i
$283$	0.159508	+	0.595293i	0.00948178	+	0.0353865i	0.970505	−	0.241082i	$-0.0775024\pi$
$283$	0.159508	+	0.595293i	0.00948178	+	0.0353865i	−0.961023	+	0.276469i	$0.910836\pi$
$284$	7.79295	−	17.4081i	0.462427	−	1.03298i
$285$	13.3037	−	5.06087i	0.788041	−	0.299780i
$286$	−6.34583	+	0.326114i	−0.375237	+	0.0192835i
$287$	10.4719	+	1.30454i	0.618135	+	0.0770046i
$288$	2.35159	+	1.37365i	0.138569	+	0.0809429i
$289$	−9.47215	+	5.46875i	−0.557186	+	0.321691i
$290$	−5.56149	+	7.59026i	−0.326582	+	0.445715i
$291$	10.4859	−	18.1621i	0.614695	−	1.06468i
$292$	3.53403	−	22.0236i	0.206813	−	1.28883i
$293$	−16.3681	−	16.3681i	−0.956237	−	0.956237i	0.0428447	−	0.999082i	$-0.486358\pi$
$293$	−16.3681	−	16.3681i	−0.956237	−	0.956237i	−0.999082	+	0.0428447i	$0.986358\pi$
$294$	−3.60678	+	18.1155i	−0.210352	+	1.05652i
$295$	−4.31577	+	3.11577i	−0.251274	+	0.181407i
$296$	−6.12096	−	7.60598i	−0.355774	−	0.442089i
$297$	−15.8328	+	4.24240i	−0.918714	+	0.246169i
$298$	4.10663	+	12.6827i	0.237891	+	0.734688i
$299$	−1.18653	+	0.685046i	−0.0686191	+	0.0396172i
$300$	−15.7298	+	10.0358i	−0.908158	+	0.579419i
$301$	8.96042	−	6.97522i	0.516470	−	0.402045i
$302$	−9.70471	−	8.75601i	−0.558443	−	0.503852i
$303$	−1.33988	+	5.00050i	−0.0769742	+	0.287271i
$304$	−12.9612	−	4.26959i	−0.743376	−	0.244878i
$305$	0.831497	+	8.14720i	0.0476114	+	0.466507i
$306$	−1.40687	+	0.911604i	−0.0804254	+	0.0521129i
$307$	11.1905	+	11.1905i	0.638675	+	0.638675i	0.950229	−	0.311553i	$-0.100849\pi$
$307$	11.1905	+	11.1905i	0.638675	+	0.638675i	−0.311553	+	0.950229i	$0.600849\pi$
$308$	−16.1767	+	8.88683i	−0.921753	+	0.506374i
$309$	1.73169			0.0985125
$310$	26.2578	−	11.5642i	1.49134	−	0.656804i
$311$	11.6629	+	6.73356i	0.661341	+	0.381825i	0.792788	−	0.609498i	$-0.208629\pi$
$311$	11.6629	+	6.73356i	0.661341	+	0.381825i	−0.131447	+	0.991323i	$0.541962\pi$
$312$	−6.21876	+	2.74612i	−0.352068	+	0.155468i
$313$	−11.9469	−	3.20116i	−0.675278	−	0.180940i	−0.0951471	−	0.995463i	$-0.530332\pi$
$313$	−11.9469	−	3.20116i	−0.675278	−	0.180940i	−0.580131	+	0.814523i	$0.696999\pi$
$314$	0.178068	+	3.46501i	0.0100489	+	0.195542i
$315$	0.0633104	−	2.84749i	0.00356713	−	0.160438i
$316$	1.18364	+	11.4858i	0.0665850	+	0.646125i
$317$	−28.8842	−	7.73949i	−1.62230	−	0.434693i	−0.670621	−	0.741800i	$-0.733972\pi$
$317$	−28.8842	−	7.73949i	−1.62230	−	0.434693i	−0.951675	+	0.307107i	$0.900639\pi$
$318$	9.98599	+	30.8402i	0.559986	+	1.72943i
$319$	5.18953	−	8.98852i	0.290558	−	0.503261i
$320$	17.7728	+	2.03170i	0.993529	+	0.113575i
$321$	−32.9116			−1.83694
$322$	−2.23458	+	3.29312i	−0.124528	+	0.183519i
$323$	5.93973	−	5.93973i	0.330495	−	0.330495i
$324$	−16.5485	+	11.9720i	−0.919363	+	0.665110i
$325$	0.375828	−	6.42973i	0.0208472	−	0.356657i
$326$	−22.9628	−	11.7295i	−1.27179	−	0.649638i
$327$	−9.84107	−	2.63691i	−0.544212	−	0.145821i
$328$	9.10665	+	6.65882i	0.502831	+	0.367672i
$329$	−27.0458	−	10.9828i	−1.49109	−	0.605500i
$330$	16.0463	−	12.8874i	0.883319	−	0.709427i
$331$	2.52899	+	4.38033i	0.139006	+	0.240765i	0.927121	−	0.374763i	$-0.122276\pi$
$331$	2.52899	+	4.38033i	0.139006	+	0.240765i	−0.788115	+	0.615528i	$0.788943\pi$
$332$	23.8792	−	9.11080i	1.31054	−	0.500020i
$333$	−1.60517	+	0.430103i	−0.0879626	+	0.0235695i
$334$	8.63170	−	5.59304i	0.472305	−	0.306038i
$335$	4.30786	−	26.6783i	0.235363	−	1.45759i
$336$	−12.7806	+	15.0525i	−0.697240	+	0.821179i
$337$	16.6134	+	16.6134i	0.904991	+	0.904991i	0.995863	−	0.0908719i	$-0.0289654\pi$
$337$	16.6134	+	16.6134i	0.904991	+	0.904991i	−0.0908719	+	0.995863i	$0.528965\pi$
$338$	−3.35044	+	15.6843i	−0.182240	+	0.853113i
$339$	19.9719	+	11.5308i	1.08472	+	0.626265i
$340$	−6.04370	+	9.20454i	−0.327766	+	0.499187i
$341$	−27.4073	+	15.8236i	−1.48419	+	0.856897i
$342$	−1.55599	+	1.72458i	−0.0841382	+	0.0932545i
$343$	−17.2548	−	6.72848i	−0.931671	−	0.363304i
$344$	11.9956	−	1.86250i	0.646759	−	0.100419i
$345$	1.81715	−	4.04851i	0.0978320	−	0.217965i
$346$	−11.0669	+	21.6656i	−0.594960	+	1.16475i
$347$	−0.612940	+	0.164237i	−0.0329043	+	0.00881669i	−0.275234	−	0.961377i	$-0.588755\pi$
$347$	−0.612940	+	0.164237i	−0.0329043	+	0.00881669i	0.242329	+	0.970194i	$0.422089\pi$
$348$	1.75932	−	10.9639i	0.0943096	−	0.587725i
$349$	−12.3593			−0.661576			−0.330788	−	0.943705i	$-0.607315\pi$
$349$	−12.3593			−0.661576			−0.330788	+	0.943705i	$0.607315\pi$
$350$	−7.15801	−	17.2848i	−0.382612	−	0.923909i
$351$		−	6.05335i		−	0.323104i
$352$	−19.7311	−	0.100113i	−1.05167	−	0.00533603i
$353$	1.55058	+	5.78685i	0.0825291	+	0.308003i	0.994835	−	0.101507i	$-0.0323664\pi$
$353$	1.55058	+	5.78685i	0.0825291	+	0.308003i	−0.912306	+	0.409510i	$0.865700\pi$
$354$	2.85741	−	5.59395i	0.151870	−	0.297315i
$355$	−19.4543	−	8.73191i	−1.03252	−	0.463442i
$356$	30.4229	−	3.13517i	1.61241	−	0.166163i
$357$	−4.72958	−	11.1971i	−0.250316	−	0.592612i
$358$	−4.28068	−	3.86222i	−0.226241	−	0.204124i
$359$	13.3462	+	23.1164i	0.704388	+	1.22004i	0.966912	+	0.255110i	$0.0821117\pi$
$359$	13.3462	+	23.1164i	0.704388	+	1.22004i	−0.262524	+	0.964925i	$0.584555\pi$
$360$	1.53837	−	2.62765i	0.0810791	−	0.138489i
$361$	−3.68056	+	6.37491i	−0.193714	+	0.335522i
$362$	−7.34021	+	34.3615i	−0.385793	+	1.80600i
$363$	−1.53901	+	1.53901i	−0.0807769	+	0.0807769i
$364$	−1.62389	−	6.61994i	−0.0851148	−	0.346979i
$365$	−24.6192	−	3.97537i	−1.28863	−	0.208080i
$366$	−5.25529	−	8.11045i	−0.274699	−	0.423940i
$367$	2.76795	+	10.3301i	0.144486	+	0.539228i	0.999778	+	0.0210818i	$0.00671104\pi$
$367$	2.76795	+	10.3301i	0.144486	+	0.539228i	−0.855292	+	0.518146i	$0.826622\pi$
$368$	−3.79858	+	1.91609i	−0.198014	+	0.0998831i
$369$	1.66298	−	0.960120i	0.0865711	−	0.0499818i
$370$	−8.51047	+	6.83508i	−0.442438	+	0.355339i
$371$	−32.1945	+	4.46674i	−1.67146	+	0.231902i
$372$	−21.3609	+	26.2694i	−1.10751	+	1.36200i
$373$	−5.24688	+	19.5816i	−0.271673	+	1.01390i	0.686365	+	0.727257i	$0.259205\pi$
$373$	−5.24688	+	19.5816i	−0.271673	+	1.01390i	−0.958038	+	0.286641i	$0.907461\pi$
$374$	5.52502	−	10.8163i	0.285692	−	0.559298i
$375$	11.2031	+	17.5974i	0.578526	+	0.908728i
$376$	−19.5648	−	24.3114i	−1.00898	−	1.25377i
$377$	2.71034	+	2.71034i	0.139590	+	0.139590i
$378$	−7.66400	−	15.8250i	−0.394193	−	0.813949i
$379$		−	27.1320i		−	1.39368i	−0.717229	−	0.696838i	$-0.754590\pi$
$379$		−	27.1320i		−	1.39368i	0.717229	−	0.696838i	$-0.245410\pi$
$380$	−4.78779	+	14.4864i	−0.245609	+	0.743135i
$381$	17.5958	+	10.1589i	0.901460	+	0.520458i
$382$	19.6201	−	6.35295i	1.00385	−	0.325045i
$383$	0.868943	−	3.24294i	0.0444009	−	0.165706i	−0.940165	−	0.340718i	$-0.889330\pi$
$383$	0.868943	−	3.24294i	0.0444009	−	0.165706i	0.984566	+	0.175012i	$0.0559964\pi$
$384$	−19.7609	+	7.42489i	−1.00842	+	0.378900i
$385$	9.91800	+	18.0959i	0.505468	+	0.922250i
$386$	−1.00135	−	19.4851i	−0.0509672	−	0.991768i
$387$	0.534788	−	1.99586i	0.0271848	−	0.101455i
$388$	8.01333	+	21.0028i	0.406815	+	1.06625i
$389$	0.173153	−	0.299910i	0.00877920	−	0.0152060i	−0.861602	−	0.507584i	$-0.830539\pi$
$389$	0.173153	−	0.299910i	0.00877920	−	0.0152060i	0.870382	+	0.492378i	$0.163872\pi$
$390$	3.06342	+	6.95580i	0.155122	+	0.352221i
$391$		−	2.61886i		−	0.132441i
$392$	−12.6266	−	15.2502i	−0.637739	−	0.770253i
$393$	18.6499	−	18.6499i	0.940764	−	0.940764i
$394$	6.22507	−	4.03363i	0.313614	−	0.203211i
$395$	12.8428	−	1.31072i	0.646190	−	0.0659497i
$396$	−1.37226	+	3.06538i	−0.0689586	+	0.154041i
$397$	23.4714	+	6.28915i	1.17800	+	0.315644i	0.794132	−	0.607745i	$-0.207926\pi$
$397$	23.4714	+	6.28915i	1.17800	+	0.315644i	0.383866	+	0.923389i	$0.374593\pi$
$398$	13.9246	−	15.4333i	0.697977	−	0.773602i
$399$	−10.3453	−	13.2896i	−0.517913	−	0.665314i
$400$	2.29104	−	19.8683i	0.114552	−	0.993417i
$401$	−16.3600	−	28.3363i	−0.816978	−	1.41505i	−0.907899	−	0.419190i	$-0.862314\pi$
$401$	−16.3600	−	28.3363i	−0.816978	−	1.41505i	0.0909203	−	0.995858i	$-0.471019\pi$
$402$	9.82381	+	30.3393i	0.489967	+	1.51319i
$403$	−3.02491	−	11.2891i	−0.150682	−	0.562352i
$404$	−3.25255	−	4.49591i	−0.161820	−	0.223680i
$405$	13.3669	+	18.5150i	0.664206	+	0.920017i
$406$	10.5170	+	3.65402i	0.521950	+	0.181346i
$407$	8.51350	−	8.51350i	0.421998	−	0.421998i
$408$	1.39760	−	12.9188i	0.0691915	−	0.639577i
$409$	13.7902	+	7.96176i	0.681880	+	0.393684i	0.800563	−	0.599249i	$-0.204534\pi$
$409$	13.7902	+	7.96176i	0.681880	+	0.393684i	−0.118683	+	0.992932i	$0.537867\pi$
$410$	7.45479	−	10.1742i	0.368166	−	0.502469i
$411$	20.4715	+	35.4577i	1.00979	+	1.74900i
$412$	−1.17106	+	1.44015i	−0.0576940	+	0.0709513i
$413$	5.02328	+	3.79923i	0.247179	+	0.186948i
$414$	0.0371660	+	0.723210i	0.00182661	+	0.0355438i
$415$	−10.1599	−	26.7077i	−0.498731	−	1.31103i
$416$	1.92166	−	7.02888i	0.0942170	−	0.344619i
$417$	5.37145	−	1.43928i	0.263041	−	0.0704816i
$418$	3.51561	−	16.4575i	0.171954	−	0.804962i
$419$			22.2389i			1.08644i	0.839590	+	0.543221i	$0.182795\pi$
$419$			22.2389i			1.08644i	−0.839590	+	0.543221i	$0.817205\pi$
$420$	16.8151	+	14.3057i	0.820493	+	0.698047i
$421$			32.0596i			1.56249i	0.624224	+	0.781246i	$0.285415\pi$
$421$			32.0596i			1.56249i	−0.624224	+	0.781246i	$0.714585\pi$
$422$	−17.1002	−	3.65289i	−0.832423	−	0.177820i
$423$	−5.13069	+	1.37476i	−0.249463	+	0.0668433i
$424$	−32.4011	−	12.5509i	−1.57354	−	0.609527i
$425$	10.2843	+	6.76718i	0.498864	+	0.328256i
$426$	25.1308	−	1.29148i	1.21759	−	0.0625723i
$427$	8.92633	−	3.77043i	0.431975	−	0.182464i
$428$	22.2565	−	27.3707i	1.07581	−	1.32302i
$429$	−4.19175	−	7.26032i	−0.202379	−	0.350531i
$430$	−2.06915	−	13.4135i	−0.0997833	−	0.646857i
$431$	−22.4281	−	12.9489i	−1.08032	−	0.623724i	−0.149339	−	0.988786i	$-0.547715\pi$
$431$	−22.4281	−	12.9489i	−1.08032	−	0.623724i	−0.930983	+	0.365062i	$0.881048\pi$
$432$	1.05995	−	18.7673i	0.0509971	−	0.902940i
$433$	−18.0637	+	18.0637i	−0.868087	+	0.868087i	−0.992261	−	0.124173i	$-0.960372\pi$
$433$	−18.0637	+	18.0637i	−0.868087	+	0.868087i	0.124173	+	0.992261i	$0.460372\pi$
$434$	−22.2008	−	25.6829i	−1.06567	−	1.23282i
$435$	−12.2560	−	1.97903i	−0.587632	−	0.0948873i
$436$	8.84802	−	6.40107i	0.423743	−	0.306555i
$437$	−0.939157	−	3.50498i	−0.0449260	−	0.167666i
$438$	27.9977	−	9.06560i	1.33778	−	0.433171i
$439$	−3.73469	−	6.46868i	−0.178247	−	0.308733i	0.763033	−	0.646359i	$-0.223709\pi$
$439$	−3.73469	−	6.46868i	−0.178247	−	0.308733i	−0.941280	+	0.337626i	$0.890376\pi$
$440$	−0.133617	+	22.0599i	−0.00636996	+	1.05167i
$441$	−3.24274	+	0.917471i	−0.154416	+	0.0436891i
$442$	3.33028	+	3.00472i	0.158405	+	0.142920i
$443$	11.1045	+	2.97544i	0.527591	+	0.141368i	0.512776	−	0.858523i	$-0.328617\pi$
$443$	11.1045	+	2.97544i	0.527591	+	0.141368i	0.0148153	+	0.999890i	$0.495284\pi$
$444$	5.26304	−	11.7567i	0.249773	−	0.557949i
$445$	−3.47178	−	34.0173i	−0.164578	−	1.61257i
$446$	−4.58821	−	7.08095i	−0.217258	−	0.335293i
$447$	−12.4369	+	12.4369i	−0.588243	+	0.588243i
$448$	−3.87539	−	20.8082i	−0.183095	−	0.983095i
$449$		−	1.77704i		−	0.0838637i	−0.999120	−	0.0419318i	$-0.986649\pi$
$449$		−	1.77704i		−	0.0838637i	0.999120	−	0.0419318i	$-0.0133512\pi$
$450$	−2.93611	−	1.72284i	−0.138409	−	0.0812152i
$451$	−6.95620	+	12.0485i	−0.327555	+	0.567341i
$452$	−23.0955	+	8.81181i	−1.08632	+	0.414472i
$453$	4.46341	−	16.6577i	0.209709	−	0.782646i
$454$	35.6867	−	1.83395i	1.67486	−	0.0860714i
$455$	−7.40310	+	1.80828i	−0.347063	+	0.0847736i
$456$	−2.76237	−	17.7913i	−0.129360	−	0.833153i
$457$	6.08980	−	22.7274i	0.284869	−	1.06315i	−0.664066	−	0.747674i	$-0.731171\pi$
$457$	6.08980	−	22.7274i	0.284869	−	1.06315i	0.948935	−	0.315471i	$-0.102163\pi$
$458$	−3.10615	−	9.59285i	−0.145141	−	0.448244i
$459$	10.0205	+	5.78533i	0.467716	+	0.270036i
$460$	2.13808	+	4.24904i	0.0996884	+	0.198113i
$461$			26.6100i			1.23935i	0.784858	+	0.619676i	$0.212736\pi$
$461$			26.6100i			1.23935i	−0.784858	+	0.619676i	$0.787264\pi$
$462$	−20.1504	−	13.6732i	−0.937480	−	0.636136i
$463$	6.57463	+	6.57463i	0.305549	+	0.305549i	0.843180	−	0.537631i	$-0.180681\pi$
$463$	6.57463	+	6.57463i	0.305549	+	0.305549i	−0.537631	+	0.843180i	$0.680681\pi$
$464$	7.92830	+	8.87747i	0.368062	+	0.412126i
$465$	29.3466	+	23.9111i	1.36091	+	1.10885i
$466$	0.958735	+	0.489726i	0.0444126	+	0.0226861i
$467$	3.33391	−	12.4423i	0.154275	−	0.575762i	−0.844891	−	0.534938i	$-0.820335\pi$
$467$	3.33391	−	12.4423i	0.154275	−	0.575762i	0.999166	−	0.0408243i	$-0.0129984\pi$
$468$	−0.962314	−	0.782505i	−0.0444830	−	0.0361713i
$469$	−31.6717	+	4.39420i	−1.46246	+	0.202905i
$470$	−27.2025	+	21.8474i	−1.25476	+	1.00774i
$471$	−3.96435	+	2.28882i	−0.182668	+	0.105463i
$472$	2.71985	+	6.15927i	0.125191	+	0.283504i
$473$	3.87461	+	14.4602i	0.178155	+	0.664883i
$474$	−12.7848	+	8.28414i	−0.587227	+	0.380503i
$475$	16.1910	+	5.36883i	0.742893	+	0.246339i
$476$	12.5104	+	3.63871i	0.573413	+	0.166780i
$477$	−4.18210	+	4.18210i	−0.191485	+	0.191485i
$478$	−26.8439	−	5.73432i	−1.22781	−	0.262282i
$479$	−6.96905	+	12.0708i	−0.318424	+	0.551527i	−0.980159	−	0.198211i	$-0.936487\pi$
$479$	−6.96905	+	12.0708i	−0.318424	+	0.551527i	0.661735	+	0.749738i	$0.269820\pi$
$480$	8.27956	+	22.1015i	0.377908	+	1.00879i
$481$	2.22318	+	3.85066i	0.101368	+	0.175575i
$482$	−7.27444	+	8.06262i	−0.331342	+	0.367242i
$483$	−5.21039	−	0.649088i	−0.237081	−	0.0295345i
$484$	−0.239151	−	2.32066i	−0.0108705	−	0.105485i
$485$	23.4906	−	8.93609i	1.06665	−	0.405767i
$486$	−6.24327	−	3.18909i	−0.283201	−	0.144660i
$487$	−8.13371	−	30.3554i	−0.368574	−	1.37554i	−0.862511	−	0.506038i	$-0.831110\pi$
$487$	−8.13371	−	30.3554i	−0.368574	−	1.37554i	0.493938	−	0.869497i	$-0.335557\pi$
$488$	10.2989	+	1.11417i	0.466210	+	0.0504361i
$489$		−	34.0199i		−	1.53844i
$490$	−17.0641	+	14.1002i	−0.770879	+	0.636981i
$491$	2.65889			0.119994			0.0599971	−	0.998199i	$-0.480891\pi$
$491$	2.65889			0.119994			0.0599971	+	0.998199i	$0.480891\pi$
$492$	−2.35825	+	14.6963i	−0.106318	+	0.662560i
$493$	−7.07693	+	1.89626i	−0.318729	+	0.0854031i
$494$	5.53465	+	2.82712i	0.249016	+	0.127198i
$495$	3.42569	+	1.53760i	0.153973	+	0.0691100i
$496$	−7.40142	−	35.5295i	−0.332333	−	1.59532i
$497$	−3.11905	+	25.0374i	−0.139909	+	1.12308i
$498$	25.0363	+	22.5889i	1.12190	+	1.01223i
$499$	−15.2929	+	8.82938i	−0.684605	+	0.395257i	−0.801588	−	0.597877i	$-0.796011\pi$
$499$	−15.2929	+	8.82938i	−0.684605	+	0.395257i	0.116983	+	0.993134i	$0.462678\pi$
$500$	−22.2110	−	2.58330i	−0.993304	−	0.115529i
$501$	11.7520	+	6.78505i	0.525043	+	0.303134i
$502$	−7.79831	−	1.66585i	−0.348056	−	0.0743507i
$503$	3.95827	+	3.95827i	0.176491	+	0.176491i	0.789824	−	0.613333i	$-0.210172\pi$
$503$	3.95827	+	3.95827i	0.176491	+	0.176491i	−0.613333	+	0.789824i	$0.710172\pi$
$504$	−3.50644	−	0.827304i	−0.156189	−	0.0368511i
$505$	−5.03015	+	3.63152i	−0.223839	+	0.161600i
$506$	−2.85307	−	4.40312i	−0.126835	−	0.195743i
$507$	−20.4391	+	5.47665i	−0.907733	+	0.243226i
$508$	−20.3478	+	7.76346i	−0.902790	+	0.344448i
$509$	6.91146	+	11.9710i	0.306345	+	0.530605i	0.977560	−	0.210657i	$-0.0675605\pi$
$509$	6.91146	+	11.9710i	0.306345	+	0.530605i	−0.671215	+	0.741263i	$0.734227\pi$
$510$	−14.4421	−	1.57676i	−0.639509	−	0.0698202i
$511$	4.05505	+	29.2272i	0.179385	+	1.29294i
$512$	7.18850	−	21.4552i	0.317690	−	0.948195i
$513$	15.4857	+	4.14939i	0.683712	+	0.183200i
$514$	−3.56817	+	6.98540i	−0.157385	+	0.308113i
$515$	1.60885	+	1.31087i	0.0708945	+	0.0577637i
$516$	9.38775	+	12.9764i	0.413273	+	0.571255i
$517$	27.2122	−	27.2122i	1.19679	−	1.19679i
$518$	10.6872	+	7.25187i	0.469567	+	0.318629i
$519$	−32.0981			−1.40895
$520$	−7.85641	−	2.15620i	−0.344526	−	0.0945558i
$521$	12.6035	−	21.8300i	0.552171	−	0.956388i	−0.445947	−	0.895060i	$-0.647133\pi$
$521$	12.6035	−	21.8300i	0.552171	−	0.956388i	0.998118	−	0.0613286i	$-0.0195338\pi$
$522$	1.92741	−	0.624093i	0.0843607	−	0.0273158i
$523$	28.3103	+	7.58572i	1.23792	+	0.331700i	0.817660	−	0.575702i	$-0.195271\pi$
$523$	28.3103	+	7.58572i	1.23792	+	0.331700i	0.420263	+	0.907402i	$0.361938\pi$
$524$	2.89807	+	28.1222i	0.126603	+	1.22852i
$525$	16.0127	−	18.7841i	0.698853	−	0.819806i
$526$	−27.0242	+	1.38878i	−1.17831	+	0.0605536i
$527$	21.5786	+	5.78196i	0.939978	+	0.251866i
$528$	−11.7244	−	23.2432i	−0.510239	−	1.01153i
$529$	18.9389	+	10.9344i	0.823429	+	0.475407i
$530$	−14.0680	+	36.2118i	−0.611074	+	1.57294i
$531$	1.14605			0.0497344
$532$	18.0483	+	0.383529i	0.782494	+	0.0166281i
$533$	−3.63302	−	3.63302i	−0.157364	−	0.157364i
$534$	21.9426	+	33.8638i	0.949550	+	1.46543i
$535$	−30.5769	−	24.9136i	−1.32196	−	1.07711i
$536$	−31.8749	−	12.3471i	−1.37679	−	0.533314i
$537$	1.96878	−	7.34758i	0.0849591	−	0.317072i
$538$	−3.06931	+	3.40186i	−0.132327	+	0.146665i
$539$	17.0229	−	17.5037i	0.733227	−	0.753937i
$540$	−20.9813	−	1.20569i	−0.902890	−	0.0518847i
$541$	32.0224	−	18.4882i	1.37675	−	0.794868i	0.384984	−	0.922923i	$-0.374207\pi$
$541$	32.0224	−	18.4882i	1.37675	−	0.794868i	0.991767	+	0.128055i	$0.0408735\pi$
$542$	6.10554	−	1.97696i	0.262255	−	0.0849178i
$543$	−44.7784	+	11.9983i	−1.92163	+	0.514898i
$544$	9.79876	+	9.89870i	0.420118	+	0.424403i
$545$	−7.14688	−	9.89942i	−0.306139	−	0.424044i
$546$	6.80350	−	5.88108i	0.291163	−	0.251687i
$547$	−9.36905	−	9.36905i	−0.400592	−	0.400592i	0.477850	−	0.878442i	$-0.341416\pi$
$547$	−9.36905	−	9.36905i	−0.400592	−	0.400592i	−0.878442	+	0.477850i	$0.841416\pi$
$548$	−43.3322	−	6.95332i	−1.85106	−	0.297031i
$549$	0.881616	−	1.52700i	0.0376264	−	0.0651709i
$550$	24.6636	+	0.173636i	1.05166	+	0.00740387i
$551$	−8.79147	+	5.07576i	−0.374529	+	0.216235i
$552$	−4.53111	−	3.31316i	−0.192857	−	0.141018i
$553$	−5.94349	−	14.0710i	−0.252743	−	0.598358i
$554$	−0.750655	−	14.6069i	−0.0318923	−	0.620590i
$555$	−13.1386	−	5.89718i	−0.557703	−	0.250321i
$556$	−2.43549	+	5.44046i	−0.103288	+	0.230727i
$557$	5.81057	+	21.6854i	0.246202	+	0.918838i	0.972776	+	0.231749i	$0.0744449\pi$
$557$	5.81057	+	21.6854i	0.246202	+	0.918838i	−0.726574	+	0.687089i	$0.758888\pi$
$558$	−6.04108	−	1.29048i	−0.255739	−	0.0546304i
$559$	−5.52857			−0.233834
$560$	−23.2685	+	4.30994i	−0.983275	+	0.182128i
$561$	16.0246			0.676559
$562$	−32.1608	−	6.87010i	−1.35662	−	0.289798i
$563$	−4.39900	−	16.4173i	−0.185396	−	0.691907i	−0.994545	−	0.104304i	$-0.966739\pi$
$563$	−4.39900	−	16.4173i	−0.185396	−	0.691907i	0.809150	−	0.587603i	$-0.199928\pi$
$564$	16.8226	−	37.5787i	0.708358	−	1.58235i
$565$	9.82651	+	25.8313i	0.413404	+	1.08673i
$566$	−0.0447312	−	0.870421i	−0.00188019	−	0.0365865i
$567$	16.2990	−	21.5502i	0.684492	−	0.905025i
$568$	−15.9207	+	21.7733i	−0.668017	+	0.913585i
$569$	−6.60668	+	3.81437i	−0.276967	+	0.159907i	−0.632049	−	0.774928i	$-0.717786\pi$
$569$	−6.60668	+	3.81437i	−0.276967	+	0.159907i	0.355083	+	0.934835i	$0.384453\pi$
$570$	−19.8943	+	3.06886i	−0.833279	+	0.128541i
$571$	−8.10287	+	14.0346i	−0.339095	+	0.587329i	−0.984263	−	0.176712i	$-0.943454\pi$
$571$	−8.10287	+	14.0346i	−0.339095	+	0.587329i	0.645168	+	0.764041i	$0.276787\pi$
$572$	8.87269	+	1.42376i	0.370986	+	0.0595305i
$573$	19.2398	+	19.2398i	0.803755	+	0.803755i
$574$	−14.0973	−	4.89796i	−0.588410	−	0.204437i
$575$	4.75292	−	2.38577i	0.198210	−	0.0994935i
$576$	−2.84645	−	2.59451i	−0.118602	−	0.108105i
$577$	−4.19827	+	1.12492i	−0.174776	+	0.0468312i	−0.345146	−	0.938549i	$-0.612171\pi$
$577$	−4.19827	+	1.12492i	−0.174776	+	0.0468312i	0.170369	+	0.985380i	$0.445504\pi$
$578$	14.7157	−	4.76493i	0.612094	−	0.198195i
$579$	22.2931	−	12.8709i	0.926471	−	0.534898i
$580$	9.93403	−	8.85435i	0.412488	−	0.367657i
$581$	−26.6796	+	20.7687i	−1.10686	+	0.861630i
$582$	−19.8679	+	22.0205i	−0.823549	+	0.912780i
$583$	11.0905	−	41.3904i	0.459323	−	1.71421i
$584$	−11.3941	+	29.4148i	−0.471493	+	1.21719i
$585$	−0.875925	+	1.07504i	−0.0362150	+	0.0444474i
$586$	17.8016	+	27.4730i	0.735377	+	1.13490i
$587$	15.6500	+	15.6500i	0.645943	+	0.645943i	0.952010	−	0.306067i	$-0.0990132\pi$
$587$	15.6500	+	15.6500i	0.645943	+	0.645943i	−0.306067	+	0.952010i	$0.599013\pi$
$588$	10.3402	−	23.9884i	0.426422	−	0.989263i
$589$	30.9534			1.27541
$590$	6.88926	−	3.03411i	0.283627	−	0.124912i
$591$	8.47542	+	4.89329i	0.348632	+	0.201283i
$592$	6.21828	+	12.3275i	0.255570	+	0.506657i
$593$	12.2702	+	3.28780i	0.503878	+	0.135014i	0.501799	−	0.864984i	$-0.332672\pi$
$593$	12.2702	+	3.28780i	0.503878	+	0.135014i	0.00207902	+	0.999998i	$0.499338\pi$
$594$	23.1503	−	1.18970i	0.949870	−	0.0488141i
$595$	4.08195	−	13.9830i	0.167344	−	0.573248i
$596$	−1.93260	−	18.7535i	−0.0791624	−	0.768174i
$597$	26.4905	+	7.09811i	1.08418	+	0.290506i
$598$	1.84338	−	0.596882i	0.0753813	−	0.0244083i
$599$	−10.6136	+	18.3832i	−0.433659	+	0.751119i	−0.997185	−	0.0749791i	$-0.976111\pi$
$599$	−10.6136	+	18.3832i	−0.433659	+	0.751119i	0.563526	+	0.826098i	$0.309444\pi$
$600$	24.7194	−	9.23253i	1.00916	−	0.376916i
$601$	−9.46276			−0.385994			−0.192997	−	0.981199i	$-0.561821\pi$
$601$	−9.46276			−0.385994			−0.192997	+	0.981199i	$0.561821\pi$
$602$	−14.4531	+	6.99958i	−0.589063	+	0.285282i
$603$	−4.11418	+	4.11418i	−0.167542	+	0.167542i
$604$	10.8349	+	14.9768i	0.440865	+	0.609396i
$605$	−2.59484	+	0.264828i	−0.105495	+	0.0107668i
$606$	3.33039	−	6.51990i	0.135288	−	0.264853i
$607$	26.6661	+	7.14517i	1.08234	+	0.290013i	0.755556	−	0.655084i	$-0.227367\pi$
$607$	26.6661	+	7.14517i	1.08234	+	0.290013i	0.326789	+	0.945097i	$0.394033\pi$
$608$	16.6641	+	9.73408i	0.675818	+	0.394769i
$609$	2.01870	+	14.5500i	0.0818019	+	0.589596i
$610$	1.25700	−	11.5133i	0.0508944	−	0.466161i
$611$	7.10607	+	12.3081i	0.287481	+	0.497931i
$612$	2.21504	−	0.845119i	0.0895375	−	0.0341619i
$613$	4.09744	−	1.09791i	0.165494	−	0.0443440i	−0.175121	−	0.984547i	$-0.556032\pi$
$613$	4.09744	−	1.09791i	0.165494	−	0.0443440i	0.340615	+	0.940203i	$0.389365\pi$
$614$	−12.1705	−	18.7826i	−0.491162	−	0.758005i
$615$	16.4284	+	2.65276i	0.662456	+	0.106969i
$616$	24.9980	−	7.51142i	1.00720	−	0.302644i
$617$	−11.0519	−	11.0519i	−0.444931	−	0.444931i	0.448734	−	0.893665i	$-0.351875\pi$
$617$	−11.0519	−	11.0519i	−0.444931	−	0.444931i	−0.893665	+	0.448734i	$0.851875\pi$
$618$	−2.39495	−	0.511602i	−0.0963389	−	0.0205797i
$619$	10.8631	+	6.27184i	0.436626	+	0.252086i	0.702166	−	0.712014i	$-0.252217\pi$
$619$	10.8631	+	6.27184i	0.436626	+	0.252086i	−0.265539	+	0.964100i	$0.585550\pi$
$620$	−39.7313	+	8.23598i	−1.59565	+	0.330765i
$621$	4.32862	−	2.49913i	0.173702	−	0.100287i
$622$	−14.1405	−	12.7582i	−0.566984	−	0.511558i
$623$	−37.2704	+	15.7428i	−1.49321	+	0.630723i
$624$	9.41191	−	1.96067i	0.376778	−	0.0784896i
$625$	−2.91263	+	24.8298i	−0.116505	+	0.993190i
$626$	15.5769	+	7.95677i	0.622580	+	0.318017i
$627$	21.4467	−	5.74663i	0.856499	−	0.229498i
$628$	0.777416	−	4.84475i	0.0310223	−	0.193327i
$629$	−8.49897			−0.338876
$630$	−0.928808	+	3.91941i	−0.0370046	+	0.156153i
$631$		−	11.6886i		−	0.465316i	−0.972559	−	0.232658i	$-0.925258\pi$
$631$		−	11.6886i		−	0.465316i	0.972559	−	0.232658i	$-0.0747423\pi$
$632$	1.75631	−	16.2346i	0.0698624	−	0.645779i
$633$	−5.97104	−	22.2842i	−0.237328	−	0.885719i
$634$	37.6606	+	19.2372i	1.49569	+	0.764006i
$635$	8.65744	+	22.7581i	0.343560	+	0.903128i
$636$	−4.69946	−	45.6025i	−0.186346	−	1.80826i
$637$	4.61679	+	7.74541i	0.182924	+	0.306884i
$638$	−9.83269	+	10.8981i	−0.389280	+	0.431458i
$639$	2.29557	+	3.97604i	0.0908112	+	0.157290i
$640$	−23.9797	−	8.06057i	−0.947882	−	0.318622i
$641$	−14.4953	+	25.1066i	−0.572529	+	0.991650i	0.423776	+	0.905767i	$0.360704\pi$
$641$	−14.4953	+	25.1066i	−0.572529	+	0.991650i	−0.996305	+	0.0858827i	$0.972629\pi$
$642$	45.5170	+	9.72323i	1.79641	+	0.383745i
$643$	−19.3858	+	19.3858i	−0.764503	+	0.764503i	−0.977133	−	0.212630i	$-0.931797\pi$
$643$	−19.3858	+	19.3858i	−0.764503	+	0.764503i	0.212630	+	0.977133i	$0.431797\pi$
$644$	4.06335	−	3.89425i	0.160118	−	0.153455i
$645$	14.5184	−	10.4816i	0.571661	−	0.412711i
$646$	−9.96951	+	6.45990i	−0.392245	+	0.254161i
$647$	−5.52272	−	20.6111i	−0.217121	−	0.810305i	−0.985409	−	0.170202i	$-0.945558\pi$
$647$	−5.52272	−	20.6111i	−0.217121	−	0.810305i	0.768289	−	0.640104i	$-0.221109\pi$
$648$	26.4237	−	11.6684i	1.03802	−	0.458376i
$649$	−7.19087	+	4.15165i	−0.282266	+	0.162966i
$650$	−2.41934	+	8.78136i	−0.0948945	+	0.344433i
$651$	16.8519	−	41.4989i	0.660477	−	1.62647i
$652$	28.2925	+	23.0061i	1.10802	+	0.900988i
$653$	−0.528879	+	1.97380i	−0.0206966	+	0.0772409i	−0.975502	−	0.219992i	$-0.929397\pi$
$653$	−0.528879	+	1.97380i	−0.0206966	+	0.0772409i	0.954805	+	0.297233i	$0.0960636\pi$
$654$	12.8313	+	6.55427i	0.501742	+	0.256292i
$655$	31.4447	−	3.20923i	1.22865	−	0.125395i
$656$	−10.6273	−	11.8996i	−0.414928	−	0.464603i
$657$	3.79664	+	3.79664i	0.148121	+	0.148121i
$658$	34.1600	+	23.1796i	1.33169	+	0.903634i
$659$			9.09719i			0.354376i	0.984177	+	0.177188i	$0.0567001\pi$
$659$			9.09719i			0.354376i	−0.984177	+	0.177188i	$0.943300\pi$
$660$	−25.9996	+	13.0827i	−1.01203	+	0.509245i
$661$	35.0715	+	20.2485i	1.36412	+	0.787577i	0.990170	−	0.139871i	$-0.0446688\pi$
$661$	35.0715	+	20.2485i	1.36412	+	0.787577i	0.373953	+	0.927448i	$0.378002\pi$
$662$	−2.20351	−	6.80520i	−0.0856419	−	0.264492i
$663$	−1.53167	+	5.71626i	−0.0594851	+	0.222001i
$664$	−35.7168	+	5.54558i	−1.38608	+	0.215210i
$665$	0.448637	−	20.1782i	0.0173974	−	0.782477i
$666$	2.34703	−	0.120614i	0.0909455	−	0.00467372i
$667$	−0.819139	+	3.05707i	−0.0317172	+	0.118370i
$668$	−13.5901	+	5.18513i	−0.525817	+	0.200619i
$669$	5.56606	−	9.64071i	0.215197	−	0.372731i
$670$	−13.8395	+	35.6237i	−0.534667	+	1.37626i
$671$			12.7749i			0.493168i
$672$	22.1227	−	17.0419i	0.853403	−	0.657404i
$673$	−20.4604	+	20.4604i	−0.788689	+	0.788689i	−0.981279	−	0.192590i	$-0.938311\pi$
$673$	−20.4604	+	20.4604i	−0.788689	+	0.788689i	0.192590	+	0.981279i	$0.438311\pi$
$674$	−18.0683	−	27.8847i	−0.695967	−	1.07408i
$675$	−1.37107	+	23.4564i	−0.0527724	+	0.902838i
$676$	9.26738	−	20.7017i	0.356438	−	0.796220i
$677$	−31.6708	−	8.48616i	−1.21721	−	0.326150i	−0.407621	−	0.913151i	$-0.633642\pi$
$677$	−31.6708	−	8.48616i	−1.21721	−	0.326150i	−0.809586	+	0.587002i	$0.800308\pi$
$678$	−24.2147	−	21.8476i	−0.929960	−	0.839050i
$679$	−18.2669	−	23.4658i	−0.701021	−	0.900536i
$680$	11.0778	−	10.9445i	0.424816	−	0.419701i
$681$	23.5729	+	40.8294i	0.903315	+	1.56459i
$682$	42.5794	−	13.7871i	1.63045	−	0.527937i
$683$	−3.21368	−	11.9936i	−0.122968	−	0.458923i	0.876791	−	0.480872i	$-0.159680\pi$
$683$	−3.21368	−	11.9936i	−0.122968	−	0.458923i	−0.999759	+	0.0219485i	$0.993013\pi$
$684$	2.66145	−	1.92541i	0.101763	−	0.0736201i
$685$	−7.82168	+	48.4392i	−0.298851	+	1.85077i
$686$	21.8757	+	14.4032i	0.835219	+	0.549918i
$687$	9.40692	−	9.40692i	0.358896	−	0.358896i
$688$	−17.1403	−	0.968064i	−0.653467	−	0.0369071i
$689$	13.7046	+	7.91238i	0.522105	+	0.301438i
$690$	−3.70921	+	5.06229i	−0.141207	+	0.192718i
$691$	−13.0541	−	22.6104i	−0.496602	−	0.860140i	0.503390	−	0.864059i	$-0.332086\pi$
$691$	−13.0541	−	22.6104i	−0.496602	−	0.860140i	−0.999992	+	0.00391911i	$0.998753\pi$
$692$	21.7064	−	26.6942i	0.825154	−	1.01476i
$693$	0.549233	−	4.40883i	0.0208636	−	0.167478i
$694$	0.896224	−	0.0460572i	0.0340202	−	0.00174831i
$695$	6.07993	+	2.72894i	0.230625	+	0.103515i
$696$	−5.67227	+	14.6434i	−0.215007	+	0.555056i
$697$	9.48613	−	2.54180i	0.359313	−	0.0962776i
$698$	17.0930	+	3.65136i	0.646979	+	0.138206i
$699$			1.42039i			0.0537240i
$700$	4.79308	+	26.0197i	0.181161	+	0.983453i
$701$		−	4.92625i		−	0.186062i	−0.995663	−	0.0930310i	$-0.970344\pi$
$701$		−	4.92625i		−	0.186062i	0.995663	−	0.0930310i	$-0.0296556\pi$
$702$	−1.78837	+	8.37185i	−0.0674978	+	0.315975i
$703$	−11.3747	+	3.04784i	−0.429005	+	0.114952i
$704$	27.2588	+	5.96772i	1.02735	+	0.224917i
$705$	−41.9957	−	18.8495i	−1.58165	−	0.709914i
$706$	−0.434832	−	8.46137i	−0.0163651	−	0.318448i
$707$	5.85478	+	4.42810i	0.220191	+	0.166536i
$708$	−5.60448	+	6.89231i	−0.210629	+	0.259029i
$709$	−9.48257	−	16.4243i	−0.356125	−	0.616827i	0.631184	−	0.775633i	$-0.282569\pi$
$709$	−9.48257	−	16.4243i	−0.356125	−	0.616827i	−0.987310	+	0.158805i	$0.949236\pi$
$710$	24.3257	+	17.8238i	0.912928	+	0.668915i
$711$	−2.40708	−	1.38973i	−0.0902726	−	0.0521189i
$712$	−43.0015	−	4.65203i	−1.61155	−	0.174342i
$713$	6.82377	−	6.82377i	0.255552	−	0.255552i
$714$	3.23305	+	16.8829i	0.120994	+	0.631828i
$715$	1.60157	−	9.91840i	0.0598952	−	0.370927i
$716$	4.77919	+	6.60615i	0.178607	+	0.246883i
$717$	−9.37335	−	34.9818i	−0.350054	−	1.30642i
$718$	−11.6286	−	35.9131i	−0.433976	−	1.34027i
$719$	2.02952	+	3.51523i	0.0756883	+	0.131096i	0.901385	−	0.433018i	$-0.142551\pi$
$719$	2.02952	+	3.51523i	0.0756883	+	0.131096i	−0.825697	+	0.564114i	$0.809218\pi$
$720$	−2.90388	+	3.17958i	−0.108221	+	0.118496i
$721$	0.923862	−	2.27508i	0.0344064	−	0.0847283i
$722$	6.97362	−	7.72921i	0.259531	−	0.287651i
$723$	−13.8391	−	3.70817i	−0.514682	−	0.137909i
$724$	20.3032	−	45.3537i	0.754561	−	1.68556i
$725$	−9.88854	−	11.1163i	−0.367251	−	0.412849i
$726$	2.58314	−	1.67379i	0.0958693	−	0.0621200i
$727$	−22.4412	+	22.4412i	−0.832296	+	0.832296i	−0.987831	−	0.155534i	$-0.950290\pi$
$727$	−22.4412	+	22.4412i	−0.832296	+	0.832296i	0.155534	+	0.987831i	$0.450290\pi$
$728$	0.290090	+	9.63520i	0.0107514	+	0.357104i
$729$			21.3880i			0.792149i
$730$	32.8742	+	12.7714i	1.21673	+	0.472689i
$731$	5.28379	−	9.15179i	0.195428	−	0.338491i
$732$	4.87201	+	12.7694i	0.180075	+	0.471972i
$733$	−0.541528	+	2.02101i	−0.0200018	+	0.0746478i	−0.975205	−	0.221302i	$-0.928969\pi$
$733$	−0.541528	+	2.02101i	−0.0200018	+	0.0746478i	0.955204	+	0.295950i	$0.0956361\pi$
$734$	−0.776220	−	15.1044i	−0.0286508	−	0.557514i
$735$	−26.8084	−	11.5870i	−0.988844	−	0.427394i
$736$	5.81955	−	1.52774i	0.214512	−	0.0563132i
$737$	10.9104	−	40.7182i	0.401890	−	1.49987i
$738$	−2.58357	+	0.836554i	−0.0951024	+	0.0307940i
$739$	−24.1660	−	13.9522i	−0.888959	−	0.513241i	−0.0153574	−	0.999882i	$-0.504889\pi$
$739$	−24.1660	−	13.9522i	−0.888959	−	0.513241i	−0.873602	+	0.486641i	$0.838222\pi$
$740$	13.7894	−	6.93869i	0.506908	−	0.255071i
$741$			8.19971i			0.301224i
$742$	45.8450	+	3.33384i	1.68302	+	0.122389i
$743$	−1.75654	−	1.75654i	−0.0644411	−	0.0644411i	0.674152	−	0.738593i	$-0.264509\pi$
$743$	−1.75654	−	1.75654i	−0.0644411	−	0.0644411i	−0.738593	+	0.674152i	$0.764509\pi$
$744$	37.3033	−	30.0200i	1.36761	−	1.10059i
$745$	−20.9692	+	2.14010i	−0.768252	+	0.0784072i
$746$	13.0416	−	25.5315i	0.477486	−	0.934773i
$747$	−1.59233	+	5.94265i	−0.0582602	+	0.217430i
$748$	−10.8367	+	13.3268i	−0.396228	+	0.487276i
$749$	−17.5584	+	43.2388i	−0.641570	+	1.57991i
$750$	−10.2951	−	27.6472i	−0.375924	−	1.00953i
$751$	17.9877	−	10.3852i	0.656382	−	0.378962i	−0.134515	−	0.990912i	$-0.542948\pi$
$751$	17.9877	−	10.3852i	0.656382	−	0.378962i	0.790897	+	0.611949i	$0.209614\pi$
$752$	19.8758	+	39.4031i	0.724797	+	1.43688i
$753$	−2.72302	−	10.1624i	−0.0992322	−	0.370340i
$754$	−2.94770	−	4.54916i	−0.107349	−	0.165671i
$755$	16.7564	−	12.0973i	0.609829	−	0.440266i
$756$	5.92413	+	24.1503i	0.215459	+	0.878339i
$757$	−2.01616	+	2.01616i	−0.0732787	+	0.0732787i	−0.742796	−	0.669518i	$-0.766501\pi$
$757$	−2.01616	+	2.01616i	−0.0732787	+	0.0732787i	0.669518	+	0.742796i	$0.266501\pi$
$758$	−8.01574	+	37.5238i	−0.291145	+	1.36293i
$759$	3.46113	−	5.99485i	0.125631	−	0.217599i
$760$	10.9013	−	18.6203i	0.395433	−	0.675430i
$761$	3.41104	+	5.90809i	0.123650	+	0.214168i	0.921204	−	0.389079i	$-0.127207\pi$
$761$	3.41104	+	5.90809i	0.123650	+	0.214168i	−0.797554	+	0.603247i	$0.793873\pi$
$762$	−21.3339	−	19.2483i	−0.772844	−	0.697294i
$763$	−8.71458	+	11.5223i	−0.315489	+	0.417135i
$764$	−29.0117	+	2.98973i	−1.04961	+	0.108165i
$765$	−0.942436	−	2.47741i	−0.0340738	−	0.0895710i
$766$	−2.15983	+	4.22830i	−0.0780380	+	0.152775i
$767$	−0.793648	−	2.96194i	−0.0286570	−	0.106949i
$768$	29.5231	−	4.43063i	1.06532	−	0.159877i
$769$		−	29.7452i		−	1.07264i	−0.844015	−	0.536320i	$-0.819814\pi$
$769$		−	29.7452i		−	1.07264i	0.844015	−	0.536320i	$-0.180186\pi$
$770$	−8.37054	−	27.9569i	−0.301653	−	1.00750i
$771$	−10.3490			−0.372711
$772$	−4.37172	+	27.2440i	−0.157342	+	0.980533i
$773$	4.59566	−	1.23140i	0.165295	−	0.0442905i	−0.175223	−	0.984529i	$-0.556065\pi$
$773$	4.59566	−	1.23140i	0.165295	−	0.0442905i	0.340517	+	0.940238i	$0.389398\pi$
$774$	−1.32926	+	2.60229i	−0.0477794	+	0.0935375i
$775$	9.16443	+	44.4299i	0.329196	+	1.59597i
$776$	−4.87757	−	31.4144i	−0.175095	−	1.12771i
$777$	−2.10648	+	16.9093i	−0.0755696	+	0.606616i
$778$	−0.328076	+	0.363623i	−0.0117621	+	0.0130365i
$779$	11.7844	−	6.80370i	0.422218	−	0.243768i
$780$	−2.18175	−	10.5250i	−0.0781191	−	0.376855i
$781$	−28.8070	−	16.6317i	−1.03079	−	0.595129i
$782$	−0.773703	+	3.62191i	−0.0276676	+	0.129519i
$783$	−9.88764	−	9.88764i	−0.353355	−	0.353355i
$784$	12.9572	+	24.8216i	0.462759	+	0.886484i
$785$	−5.41574	−	0.874502i	−0.193296	−	0.0312123i
$786$	−31.3029	+	20.2832i	−1.11654	+	0.723478i
$787$	−22.9233	+	6.14229i	−0.817129	+	0.218949i	−0.643091	−	0.765790i	$-0.722348\pi$
$787$	−22.9233	+	6.14229i	−0.817129	+	0.218949i	−0.174038	+	0.984739i	$0.555682\pi$
$788$	−9.80101	+	3.73945i	−0.349146	+	0.133212i
$789$	−17.8508	−	30.9186i	−0.635507	−	1.10073i
$790$	−18.1489	−	1.98146i	−0.645710	−	0.0704973i
$791$	25.8040	−	20.0871i	0.917486	−	0.714215i
$792$	2.80347	−	3.83404i	0.0996169	−	0.136237i
$793$	−4.55702	−	1.22105i	−0.161824	−	0.0433607i
$794$	−30.6032	−	15.6323i	−1.08607	−	0.554768i
$795$	−50.9903	+	5.20403i	−1.80844	+	0.184568i
$796$	−23.8174	+	17.2306i	−0.844185	+	0.610723i
$797$	−21.5859	+	21.5859i	−0.764610	+	0.764610i	−0.977152	−	0.212542i	$-0.931826\pi$
$797$	−21.5859	+	21.5859i	−0.764610	+	0.764610i	0.212542	+	0.977152i	$0.431826\pi$
$798$	10.3814	+	21.4361i	0.367499	+	0.758829i
$799$	−27.1658			−0.961055
$800$	−9.03834	+	26.8013i	−0.319554	+	0.947568i
$801$	−3.68104	+	6.37575i	−0.130063	+	0.225276i
$802$	14.2545	+	44.0227i	0.503343	+	1.55450i
$803$	−37.5755	−	10.0683i	−1.32601	−	0.355304i
$804$	−4.62314	−	44.8619i	−0.163046	−	1.58216i
$805$	−4.34944	−	4.54724i	−0.153298	−	0.160269i
$806$	0.848282	+	16.5067i	0.0298795	+	0.581422i
$807$	−5.83913	−	1.56459i	−0.205547	−	0.0550762i
$808$	3.17006	+	7.17881i	0.111522	+	0.252550i
$809$	7.39293	+	4.26831i	0.259921	+	0.150066i	0.624299	−	0.781186i	$-0.285385\pi$
$809$	7.39293	+	4.26831i	0.259921	+	0.150066i	−0.364377	+	0.931251i	$0.618718\pi$
$810$	−13.0166	−	29.5555i	−0.457355	−	1.03847i
$811$	−21.8269			−0.766445			−0.383222	−	0.923656i	$-0.625186\pi$
$811$	−21.8269			−0.766445			−0.383222	+	0.923656i	$0.625186\pi$
$812$	−13.4656	−	8.16063i	−0.472550	−	0.286382i
$813$	5.98720	+	5.98720i	0.209980	+	0.209980i
$814$	−14.2894	+	9.25907i	−0.500845	+	0.324530i
$815$	25.7527	−	31.6067i	0.902077	−	1.10714i
$816$	−5.74957	+	17.4540i	−0.201275	+	0.611011i
$817$	3.78967	−	14.1432i	0.132584	−	0.494809i
$818$	−16.7198	−	15.0853i	−0.584593	−	0.527445i
$819$	1.52021	+	0.617327i	0.0531205	+	0.0215712i
$820$	−13.3159	+	11.8686i	−0.465011	+	0.414471i
$821$	16.1437	−	9.32057i	0.563419	−	0.325290i	−0.191098	−	0.981571i	$-0.561205\pi$
$821$	16.1437	−	9.32057i	0.563419	−	0.325290i	0.754517	+	0.656281i	$0.227871\pi$
$822$	−17.8369	−	55.0864i	−0.622133	−	1.92136i
$823$	17.2526	−	4.62282i	0.601388	−	0.161141i	0.0547354	−	0.998501i	$-0.482568\pi$
$823$	17.2526	−	4.62282i	0.601388	−	0.161141i	0.546653	+	0.837359i	$0.315902\pi$
$824$	2.04506	−	1.64577i	0.0712431	−	0.0573333i
$825$	14.5984	+	29.0828i	0.508250	+	1.01253i
$826$	−5.82483	−	6.73842i	−0.202672	−	0.234460i
$827$	7.56268	+	7.56268i	0.262980	+	0.262980i	0.826264	−	0.563284i	$-0.190462\pi$
$827$	7.56268	+	7.56268i	0.262980	+	0.262980i	−0.563284	+	0.826264i	$0.690462\pi$
$828$	0.162261	−	1.01119i	0.00563895	−	0.0351412i
$829$	−3.61027	+	6.25318i	−0.125390	+	0.217182i	−0.921885	−	0.387463i	$-0.873352\pi$
$829$	−3.61027	+	6.25318i	−0.125390	+	0.217182i	0.796495	+	0.604645i	$0.206685\pi$
$830$	6.16088	+	39.9387i	0.213847	+	1.38629i
$831$	16.7119	−	9.64864i	0.579731	−	0.334708i
$832$	−4.73425	+	9.15328i	−0.164131	+	0.317333i
$833$	−17.2338	+	0.239997i	−0.597117	+	0.00831542i
$834$	−7.85398	+	0.403618i	−0.271961	+	0.0139762i
$835$	5.78221	+	15.1999i	0.200102	+	0.526014i
$836$	−9.72424	+	21.7222i	−0.336320	+	0.751280i
$837$	11.0352	+	41.1841i	0.381434	+	1.42353i
$838$	6.57016	−	30.7566i	0.226962	−	1.06247i
$839$	28.8975			0.997653			0.498827	−	0.866702i	$-0.333764\pi$
$839$	28.8975			0.997653			0.498827	+	0.866702i	$0.333764\pi$
$840$	−19.0291	−	24.7527i	−0.656565	−	0.854049i
$841$	−20.1458			−0.694682
$842$	9.47154	−	44.3388i	0.326411	−	1.52802i
$843$	−11.2299	−	41.9106i	−0.386779	−	1.44348i
$844$	22.5705	+	10.1040i	0.776909	+	0.347793i
$845$	−23.1350	−	10.3840i	−0.795869	−	0.357220i
$846$	7.50195	−	0.385527i	0.257922	−	0.0132547i
$847$	1.20086	+	2.84299i	0.0412622	+	0.0976864i
$848$	41.1031	+	26.9305i	1.41149	+	0.924798i
$849$	0.995856	−	0.574958i	0.0341777	−	0.0197325i
$850$	−12.2241	−	12.3974i	−0.419283	−	0.425229i
$851$	−1.83568	+	3.17949i	−0.0629263	+	0.108991i
$852$	−35.1377	−	5.63838i	−1.20380	−	0.193168i
$853$	−8.81130	−	8.81130i	−0.301693	−	0.301693i	0.539983	−	0.841676i	$-0.318431\pi$
$853$	−8.81130	−	8.81130i	−0.301693	−	0.301693i	−0.841676	+	0.539983i	$0.818431\pi$
$854$	−13.4591	+	2.57740i	−0.460562	+	0.0881967i
$855$	−2.14975	−	2.97770i	−0.0735200	−	0.101835i
$856$	−38.8673	+	31.2787i	−1.32846	+	1.06908i
$857$	−4.76989	+	1.27809i	−0.162936	+	0.0436587i	−0.339365	−	0.940655i	$-0.610212\pi$
$857$	−4.76989	+	1.27809i	−0.162936	+	0.0436587i	0.176429	+	0.984313i	$0.443546\pi$
$858$	3.65228	+	11.2795i	0.124687	+	0.385075i
$859$	−24.9223	+	14.3889i	−0.850337	+	0.490942i	−0.860764	−	0.509003i	$-0.830014\pi$
$859$	−24.9223	+	14.3889i	−0.850337	+	0.490942i	0.0104277	+	0.999946i	$0.496681\pi$
$860$	−1.10117	+	19.1623i	−0.0375495	+	0.653430i
$861$	−2.70593	−	19.5033i	−0.0922178	−	0.664670i
$862$	27.1927	+	24.5344i	0.926187	+	0.835646i
$863$	11.4091	−	42.5795i	0.388372	−	1.44942i	−0.444412	−	0.895823i	$-0.646587\pi$
$863$	11.4091	−	42.5795i	0.388372	−	1.44942i	0.832783	−	0.553599i	$-0.186746\pi$
$864$	−7.01044	+	25.6422i	−0.238500	+	0.872365i
$865$	−29.8212	−	24.2978i	−1.01395	−	0.826151i
$866$	30.3190	−	19.6457i	1.03028	−	0.667587i
$867$	14.4305	+	14.4305i	0.490086	+	0.490086i
$868$	23.1163	+	42.0785i	0.784618	+	1.42824i
$869$	20.1375			0.683120
$870$	16.3655	+	6.35788i	0.554844	+	0.215552i
$871$	13.4821	+	7.78388i	0.456823	+	0.263747i
$872$	−14.1280	+	6.23873i	−0.478435	+	0.211270i
$873$	−5.22681	−	1.40052i	−0.176901	−	0.0474004i
$874$	0.263369	+	5.12489i	0.00890860	+	0.173352i
$875$	29.0962	−	5.33022i	0.983631	−	0.180194i
$876$	−41.3994	+	4.26632i	−1.39876	+	0.144146i
$877$	−12.5172	−	3.35398i	−0.422677	−	0.113256i	0.0412096	−	0.999151i	$-0.486879\pi$
$877$	−12.5172	−	3.35398i	−0.422677	−	0.113256i	−0.463887	+	0.885895i	$0.653546\pi$
$878$	3.25405	+	10.0496i	0.109819	+	0.339158i
$879$	−21.5955	+	37.4045i	−0.728398	+	1.26162i
$880$	6.70208	−	30.4697i	0.225927	−	1.02713i
$881$	20.5331			0.691777			0.345888	−	0.938276i	$-0.387578\pi$
$881$	20.5331			0.691777			0.345888	+	0.938276i	$0.387578\pi$
$882$	4.75579	−	0.310853i	0.160136	−	0.0104670i
$883$	3.33839	−	3.33839i	0.112346	−	0.112346i	−0.648699	−	0.761045i	$-0.724687\pi$
$883$	3.33839	−	3.33839i	0.112346	−	0.112346i	0.761045	+	0.648699i	$0.224687\pi$
$884$	−3.71811	−	5.13944i	−0.125054	−	0.172858i
$885$	7.69967	+	6.27357i	0.258822	+	0.210884i
$886$	−14.4786	−	7.39573i	−0.486418	−	0.248464i
$887$	−29.6150	−	7.93532i	−0.994375	−	0.266442i	−0.275288	−	0.961362i	$-0.588773\pi$
$887$	−29.6150	−	7.93532i	−0.994375	−	0.266442i	−0.719087	+	0.694920i	$0.755440\pi$
$888$	−10.7522	+	14.7048i	−0.360820	+	0.493460i
$889$	22.7341	−	17.6973i	0.762478	−	0.593550i
$890$	−5.24840	+	48.0720i	−0.175927	+	1.61138i
$891$	17.8109	+	30.8494i	0.596687	+	1.03349i
$892$	4.25359	+	11.1485i	0.142421	+	0.373281i
$893$	−36.3576	+	9.74199i	−1.21666	+	0.326003i
$894$	20.8746	−	13.5260i	0.698151	−	0.452378i
$895$	7.39115	−	5.33604i	0.247059	−	0.178364i
$896$	−0.787775	+	29.9229i	−0.0263177	+	0.999654i
$897$	1.80765	+	1.80765i	0.0603556	+	0.0603556i
$898$	−0.525000	+	2.45766i	−0.0175195	+	0.0820133i
$899$	−23.3808	−	13.4989i	−0.779793	−	0.450214i
$900$	3.55168	+	3.25013i	0.118389	+	0.108338i
$901$	−26.1957	+	15.1241i	−0.872705	+	0.503856i
$902$	13.1800	−	14.6081i	0.438848	−	0.486396i
$903$	−16.8985	−	12.7807i	−0.562346	−	0.425316i
$904$	34.5447	−	5.36359i	1.14894	−	0.178390i
$905$	−50.6846	−	22.7495i	−1.68481	−	0.756218i
$906$	−11.0942	+	21.7191i	−0.368580	+	0.721568i
$907$	25.9413	−	6.95095i	0.861366	−	0.230802i	0.199016	−	0.979996i	$-0.436226\pi$
$907$	25.9413	−	6.95095i	0.861366	−	0.230802i	0.662351	+	0.749194i	$0.269559\pi$
$908$	−49.8968	−	8.00672i	−1.65588	−	0.265712i
$909$	1.33575			0.0443042
$910$	10.7728	−	0.313739i	0.357115	−	0.0104004i
$911$			31.3283i			1.03795i	0.854788	+	0.518977i	$0.173687\pi$
$911$			31.3283i			1.03795i	−0.854788	+	0.518977i	$0.826313\pi$
$912$	−1.43578	+	25.4216i	−0.0475436	+	0.841794i
$913$	−11.5366	−	43.0553i	−0.381807	−	1.42492i
$914$	−15.1367	+	29.6332i	−0.500679	+	0.980178i
$915$	14.2820	−	5.43304i	0.472149	−	0.179611i
$916$	1.46177	+	14.1847i	0.0482982	+	0.468675i
$917$	−14.5523	−	34.4519i	−0.480558	−	1.13770i
$918$	−12.1493	−	10.9616i	−0.400985	−	0.361786i
$919$	9.34001	+	16.1774i	0.308099	+	0.533642i	0.977946	−	0.208856i	$-0.0669740\pi$
$919$	9.34001	+	16.1774i	0.308099	+	0.533642i	−0.669848	+	0.742498i	$0.733641\pi$
$920$	−1.70167	−	6.50813i	−0.0561023	−	0.214567i
$921$	14.7643	−	25.5725i	0.486501	−	0.842644i
$922$	7.86154	−	36.8019i	0.258906	−	1.21201i
$923$	8.68626	−	8.68626i	0.285912	−	0.285912i
$924$	23.8286	+	24.8633i	0.783904	+	0.817944i
$925$	−7.74253	−	15.4246i	−0.254573	−	0.507159i
$926$	−7.15040	−	11.0352i	−0.234977	−	0.362638i
$927$	−0.115644	−	0.431590i	−0.00379825	−	0.0141753i
$928$	−8.34221	−	14.6199i	−0.273846	−	0.479923i
$929$	−8.93514	+	5.15871i	−0.293152	+	0.169252i	−0.639363	−	0.768905i	$-0.720802\pi$
$929$	−8.93514	+	5.15871i	−0.293152	+	0.169252i	0.346210	+	0.938157i	$0.387468\pi$
$930$	−33.5224	−	41.7393i	−1.09924	−	1.36869i
$931$	−22.9790	+	6.50148i	−0.753107	+	0.213077i
$932$	−1.18126	−	0.960541i	−0.0386934	−	0.0314636i
$933$	6.50355	−	24.2716i	0.212917	−	0.794615i
$934$	−8.28674	+	16.2229i	−0.271150	+	0.530830i
$935$	14.8879	+	12.1304i	0.486886	+	0.396707i
$936$	1.09971	+	1.36651i	0.0359452	+	0.0446659i
$937$	−27.4708	−	27.4708i	−0.897432	−	0.897432i	0.0977763	−	0.995208i	$-0.468827\pi$
$937$	−27.4708	−	27.4708i	−0.897432	−	0.897432i	−0.995208	+	0.0977763i	$0.968827\pi$
$938$	45.1005	+	3.27970i	1.47258	+	0.107086i
$939$			23.0776i			0.753108i
$940$	44.0758	−	22.1785i	1.43760	−	0.723384i
$941$	−9.02544	−	5.21084i	−0.294221	−	0.169869i	0.345623	−	0.938374i	$-0.387668\pi$
$941$	−9.02544	−	5.21084i	−0.294221	−	0.169869i	−0.639844	+	0.768505i	$0.721001\pi$
$942$	6.15893	−	1.99425i	0.200669	−	0.0649762i
$943$	1.09800	−	4.09779i	0.0357558	−	0.133442i
$944$	−1.94191	−	9.32188i	−0.0632039	−	0.303401i
$945$	27.0074	−	6.59683i	0.878551	−	0.214595i
$946$	−1.08656	−	21.1434i	−0.0353272	−	0.687430i
$947$	8.90265	−	33.2252i	0.289297	−	1.07967i	−0.656344	−	0.754462i	$-0.727898\pi$
$947$	8.90265	−	33.2252i	0.289297	−	1.07967i	0.945642	−	0.325211i	$-0.105435\pi$
$948$	20.1290	−	7.67996i	0.653760	−	0.249434i
$949$	7.18311	−	12.4415i	0.233173	−	0.403868i
$950$	−20.8061	−	12.2085i	−0.675041	−	0.396097i
$951$			55.7950i			1.80928i
$952$	−16.2270	−	8.72839i	−0.525920	−	0.282889i
$953$	38.8690	−	38.8690i	1.25909	−	1.25909i	0.307564	−	0.951528i	$-0.400486\pi$
$953$	38.8690	−	38.8690i	1.25909	−	1.25909i	0.951528	−	0.307564i	$-0.0995137\pi$
$954$	7.01942	−	4.54835i	0.227262	−	0.147258i
$955$	3.31073	+	32.4393i	0.107133	+	1.04971i
$956$	35.4312	+	15.8612i	1.14593	+	0.512989i
$957$	−18.7060	−	5.01225i	−0.604678	−	0.162023i
$958$	13.2044	−	14.6351i	0.426615	−	0.472838i
$959$	57.5056	−	7.97846i	1.85695	−	0.257638i
$960$	−4.92115	−	33.0127i	−0.158829	−	1.06548i
$961$	25.6601	+	44.4446i	0.827746	+	1.43370i
$962$	−1.93706	−	5.98230i	−0.0624533	−	0.192877i
$963$	2.19787	+	8.20255i	0.0708253	+	0.264323i
$964$	12.4426	−	9.00156i	0.400750	−	0.289921i
$965$	30.4549	+	4.91768i	0.980378	+	0.158306i
$966$	7.01426	+	2.43703i	0.225680	+	0.0784101i
$967$	1.21014	−	1.21014i	0.0389156	−	0.0389156i	−0.687381	−	0.726297i	$-0.741240\pi$
$967$	1.21014	−	1.21014i	0.0389156	−	0.0389156i	0.726297	+	0.687381i	$0.241240\pi$
$968$	−0.354858	+	3.28016i	−0.0114056	+	0.105428i
$969$	−13.5735	−	7.83665i	−0.436043	−	0.251750i
$970$	−35.1278	+	5.41876i	−1.12788	+	0.173986i
$971$	−24.9247	−	43.1708i	−0.799871	−	1.38542i	−0.919700	−	0.392622i	$-0.871568\pi$
$971$	−24.9247	−	43.1708i	−0.799871	−	1.38542i	0.119829	−	0.992795i	$-0.461765\pi$
$972$	7.69234	+	6.25503i	0.246732	+	0.200630i
$973$	0.974781	−	7.82481i	0.0312500	−	0.250852i
$974$	2.28095	+	44.3848i	0.0730863	+	1.42218i
$975$	−11.7697	+	2.42770i	−0.376932	+	0.0777486i
$976$	−13.9144	−	4.58357i	−0.445388	−	0.146717i
$977$	1.06640	−	0.285740i	0.0341171	−	0.00914164i	−0.241720	−	0.970346i	$-0.577712\pi$
$977$	1.06640	−	0.285740i	0.0341171	−	0.00914164i	0.275837	+	0.961204i	$0.411045\pi$
$978$	−10.0507	+	47.0499i	−0.321386	+	1.50449i
$979$		−	53.3393i		−	1.70473i
$980$	27.7656	−	14.4594i	0.886939	−	0.461887i
$981$			2.62879i			0.0839307i
$982$	−3.67728	−	0.785531i	−0.117347	−	0.0250673i
$983$	34.8691	−	9.34314i	1.11215	−	0.298000i	0.344448	−	0.938806i	$-0.388066\pi$
$983$	34.8691	−	9.34314i	1.11215	−	0.298000i	0.767703	+	0.640806i	$0.221400\pi$
$984$	7.60329	−	19.6284i	0.242384	−	0.625731i
$985$	4.17006	+	10.9620i	0.132869	+	0.349277i
$986$	10.3477	−	0.531771i	0.329538	−	0.0169350i
$987$	−6.73307	+	54.0480i	−0.214316	+	1.72037i
$988$	−6.81925	−	5.54507i	−0.216949	−	0.176412i
$989$	−2.28247	−	3.95336i	−0.0725784	−	0.125710i
$990$	−4.28351	−	3.13859i	−0.136139	−	0.0997508i
$991$	−38.6610	−	22.3210i	−1.22811	−	0.709048i	−0.261474	−	0.965210i	$-0.584209\pi$
$991$	−38.6610	−	22.3210i	−1.22811	−	0.709048i	−0.966634	+	0.256162i	$0.917542\pi$
$992$	−0.260412	+	51.3243i	−0.00826809	+	1.62955i
$993$	6.67330	−	6.67330i	0.211771	−	0.211771i
$994$	11.7106	−	33.7055i	0.371438	−	1.06907i
$995$	19.2382	+	26.6476i	0.609892	+	0.844785i
$996$	−27.9520	−	38.6372i	−0.885692	−	1.22427i
$997$	7.24946	+	27.0553i	0.229593	+	0.856851i	0.980512	+	0.196458i	$0.0629438\pi$
$997$	7.24946	+	27.0553i	0.229593	+	0.856851i	−0.750920	+	0.660393i	$0.770390\pi$
$998$	23.7588	−	7.69305i	0.752071	−	0.243519i
$999$	−8.11041	−	14.0476i	−0.256602	−	0.444448i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	280.2.br.a.67.4	✓	176
5.3	odd	4	inner	280.2.br.a.123.20	yes	176
7.2	even	3	inner	280.2.br.a.107.27	yes	176
8.3	odd	2	inner	280.2.br.a.67.40	yes	176
35.23	odd	12	inner	280.2.br.a.163.40	yes	176
40.3	even	4	inner	280.2.br.a.123.27	yes	176
56.51	odd	6	inner	280.2.br.a.107.20	yes	176
280.163	even	12	inner	280.2.br.a.163.4	yes	176

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
280.2.br.a.67.4	✓	176	1.1	even	1	trivial
280.2.br.a.67.40	yes	176	8.3	odd	2	inner
280.2.br.a.107.20	yes	176	56.51	odd	6	inner
280.2.br.a.107.27	yes	176	7.2	even	3	inner
280.2.br.a.123.20	yes	176	5.3	odd	4	inner
280.2.br.a.123.27	yes	176	40.3	even	4	inner
280.2.br.a.163.4	yes	176	280.163	even	12	inner
280.2.br.a.163.40	yes	176	35.23	odd	12	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:	\( N \)	\(=\)	\( 280 = 2^{3} \cdot 5 \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	280.br (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.38301 - 0.295435i) q^{2} +(-0.482920 - 1.80228i) q^{3} +(1.82544 + 0.817180i) q^{4} +(0.915641 - 2.04000i) q^{5} +(0.135426 + 2.63525i) q^{6} +(-2.62546 - 0.327068i) q^{7} +(-2.28317 - 1.66947i) q^{8} +(-0.416933 + 0.240716i) q^{9} +O(q^{10})\)	\(q+(-1.38301 - 0.295435i) q^{2} +(-0.482920 - 1.80228i) q^{3} +(1.82544 + 0.817180i) q^{4} +(0.915641 - 2.04000i) q^{5} +(0.135426 + 2.63525i) q^{6} +(-2.62546 - 0.327068i) q^{7} +(-2.28317 - 1.66947i) q^{8} +(-0.416933 + 0.240716i) q^{9} +(-1.86903 + 2.55083i) q^{10} +(1.74402 - 3.02074i) q^{11} +(0.591249 - 3.68458i) q^{12} +(0.910854 + 0.910854i) q^{13} +(3.53441 + 1.22799i) q^{14} +(-4.11884 - 0.665086i) q^{15} +(2.66443 + 2.98342i) q^{16} +(-2.37832 + 0.637268i) q^{17} +(0.647739 - 0.209737i) q^{18} +(-2.95452 + 1.70579i) q^{19} +(3.33849 - 2.97565i) q^{20} +(0.678417 + 4.88976i) q^{21} +(-3.30444 + 3.66247i) q^{22} +(-0.275285 + 1.02738i) q^{23} +(-1.90626 + 4.92114i) q^{24} +(-3.32320 - 3.73582i) q^{25} +(-0.990622 - 1.52882i) q^{26} +(-3.32290 - 3.32290i) q^{27} +(-4.52533 - 2.74251i) q^{28} +2.97560 q^{29} +(5.49991 + 2.13667i) q^{30} +(-7.85749 - 4.53652i) q^{31} +(-2.80353 - 4.91327i) q^{32} +(-6.28645 - 1.68445i) q^{33} +(3.47751 - 0.178710i) q^{34} +(-3.07119 + 5.05646i) q^{35} +(-0.957793 + 0.0987032i) q^{36} +(3.33414 + 0.893381i) q^{37} +(4.59008 - 1.48626i) q^{38} +(1.20175 - 2.08148i) q^{39} +(-5.49628 + 3.12904i) q^{40} -3.98859 q^{41} +(0.506350 - 6.96302i) q^{42} +(-3.03483 + 3.03483i) q^{43} +(5.65209 - 4.08898i) q^{44} +(0.109301 + 1.07095i) q^{45} +(0.684245 - 1.33955i) q^{46} +(10.6571 + 2.85557i) q^{47} +(4.09025 - 6.24282i) q^{48} +(6.78605 + 1.71741i) q^{49} +(3.49234 + 6.14846i) q^{50} +(2.29707 + 3.97865i) q^{51} +(0.918374 + 2.40704i) q^{52} +(11.8663 - 3.17958i) q^{53} +(3.61391 + 5.57731i) q^{54} +(-4.56541 - 6.32372i) q^{55} +(5.44835 + 5.12987i) q^{56} +(4.50111 + 4.50111i) q^{57} +(-4.11529 - 0.879098i) q^{58} +(-2.06157 - 1.19025i) q^{59} +(-6.97518 - 4.57990i) q^{60} +(-3.17179 + 1.83123i) q^{61} +(9.52674 + 8.59544i) q^{62} +(1.17337 - 0.495625i) q^{63} +(2.42577 + 7.62336i) q^{64} +(2.69216 - 1.02413i) q^{65} +(8.19658 + 4.18685i) q^{66} +(11.6736 - 3.12794i) q^{67} +(-4.86223 - 0.780220i) q^{68} +1.98456 q^{69} +(5.74135 - 6.08580i) q^{70} -9.53640i q^{71} +(1.35380 + 0.146458i) q^{72} +(-2.88652 - 10.7726i) q^{73} +(-4.34722 - 2.22058i) q^{74} +(-5.12815 + 7.79345i) q^{75} +(-6.78722 + 0.699441i) q^{76} +(-5.56685 + 7.36040i) q^{77} +(-2.27697 + 2.52368i) q^{78} +(2.88665 + 4.99982i) q^{79} +(8.52584 - 2.70371i) q^{80} +(-5.10626 + 8.84430i) q^{81} +(5.51626 + 1.17837i) q^{82} +(9.03619 - 9.03619i) q^{83} +(-2.75741 + 9.48034i) q^{84} +(-0.877656 + 5.43528i) q^{85} +(5.09380 - 3.30061i) q^{86} +(-1.43698 - 5.36288i) q^{87} +(-9.02493 + 3.98528i) q^{88} +(13.2433 - 7.64601i) q^{89} +(0.165233 - 1.51343i) q^{90} +(-2.09350 - 2.68932i) q^{91} +(-1.34207 + 1.65045i) q^{92} +(-4.38156 + 16.3522i) q^{93} +(-13.8953 - 7.09776i) q^{94} +(0.774538 + 7.58910i) q^{95} +(-7.50121 + 7.42548i) q^{96} +(7.94771 + 7.94771i) q^{97} +(-8.87780 - 4.38003i) q^{98} +1.67926i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 176 q - 2 q^{2} - 4 q^{3} - 16 q^{6} - 20 q^{8}+O(q^{10}) \) 176 * q - 2 * q^2 - 4 * q^3 - 16 * q^6 - 20 * q^8	\( 176 q - 2 q^{2} - 4 q^{3} - 16 q^{6} - 20 q^{8} - 2 q^{10} - 8 q^{11} - 14 q^{12} + 4 q^{16} - 4 q^{17} - 16 q^{18} + 8 q^{20} - 4 q^{25} - 20 q^{26} - 40 q^{27} - 34 q^{28} - 12 q^{30} + 18 q^{32} + 20 q^{33} - 32 q^{35} - 48 q^{36} - 16 q^{38} - 22 q^{40} - 32 q^{41} + 30 q^{42} - 16 q^{43} + 20 q^{46} + 36 q^{48} + 68 q^{50} - 8 q^{51} - 32 q^{52} - 52 q^{56} - 40 q^{57} - 14 q^{58} - 50 q^{60} + 56 q^{62} - 4 q^{65} - 60 q^{66} - 28 q^{67} - 40 q^{68} + 64 q^{70} - 48 q^{72} - 4 q^{73} - 4 q^{75} - 144 q^{76} + 184 q^{78} - 40 q^{80} + 32 q^{81} + 74 q^{82} - 16 q^{83} - 56 q^{86} - 64 q^{88} - 56 q^{90} + 16 q^{91} + 44 q^{92} - 104 q^{96} - 48 q^{97} + 70 q^{98}+O(q^{100}) \) 176 * q - 2 * q^2 - 4 * q^3 - 16 * q^6 - 20 * q^8 - 2 * q^10 - 8 * q^11 - 14 * q^12 + 4 * q^16 - 4 * q^17 - 16 * q^18 + 8 * q^20 - 4 * q^25 - 20 * q^26 - 40 * q^27 - 34 * q^28 - 12 * q^30 + 18 * q^32 + 20 * q^33 - 32 * q^35 - 48 * q^36 - 16 * q^38 - 22 * q^40 - 32 * q^41 + 30 * q^42 - 16 * q^43 + 20 * q^46 + 36 * q^48 + 68 * q^50 - 8 * q^51 - 32 * q^52 - 52 * q^56 - 40 * q^57 - 14 * q^58 - 50 * q^60 + 56 * q^62 - 4 * q^65 - 60 * q^66 - 28 * q^67 - 40 * q^68 + 64 * q^70 - 48 * q^72 - 4 * q^73 - 4 * q^75 - 144 * q^76 + 184 * q^78 - 40 * q^80 + 32 * q^81 + 74 * q^82 - 16 * q^83 - 56 * q^86 - 64 * q^88 - 56 * q^90 + 16 * q^91 + 44 * q^92 - 104 * q^96 - 48 * q^97 + 70 * q^98

Introduction

L-functions

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