LMFDB - Embedded newform 370.2.bd.a.57.8

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [370,2,Mod(13,370)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(370, base_ring=CyclotomicField(36))

chi = DirichletCharacter(H, H._module([27, 11]))

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

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

chi := DirichletCharacter("370.13");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$N$	$=$	$370 = 2 \cdot 5 \cdot 37$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	370.bd (of order $36$ , 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:	$2.95446487479$
Analytic rank:	$0$
Dimension:	$108$
Relative dimension:	$9$ over $\Q(\zeta_{36})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{36}]$

Embedding invariants

Embedding label			57.8
Character	$\chi$	$=$	370.57
Dual form			370.2.bd.a.13.8

$q$ -expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.984808 + 0.173648i) q^{2} +(1.98147 - 1.38744i) q^{3} +(0.939693 - 0.342020i) q^{4} +(-1.05394 - 1.97211i) q^{5} +(-1.71044 + 1.71044i) q^{6} +(-0.0535790 - 0.612411i) q^{7} +(-0.866025 + 0.500000i) q^{8} +(0.975177 - 2.67928i) q^{9} +(1.38038 + 1.75913i) q^{10} +(0.733768 - 0.423641i) q^{11} +(1.38744 - 1.98147i) q^{12} +(-0.681256 - 1.87174i) q^{13} +(0.159109 + 0.593803i) q^{14} +(-4.82454 - 2.44539i) q^{15} +(0.766044 - 0.642788i) q^{16} +(-0.0396576 - 0.0144342i) q^{17} +(-0.495111 + 2.80791i) q^{18} +(3.19358 - 2.23617i) q^{19} +(-1.66488 - 1.49270i) q^{20} +(-0.955850 - 1.13914i) q^{21} +(-0.649056 + 0.544622i) q^{22} +(-3.82161 - 2.20641i) q^{23} +(-1.02228 + 2.19230i) q^{24} +(-2.77841 + 4.15698i) q^{25} +(0.995930 + 1.72500i) q^{26} +(0.0931412 + 0.347608i) q^{27} +(-0.259805 - 0.557153i) q^{28} +(-5.02894 - 1.34750i) q^{29} +(5.17588 + 1.57046i) q^{30} +(5.07352 + 5.07352i) q^{31} +(-0.642788 + 0.766044i) q^{32} +(0.866163 - 1.85749i) q^{33} +(0.0415616 + 0.00732843i) q^{34} +(-1.15127 + 0.751110i) q^{35} -2.85123i q^{36} +(1.26307 - 5.95018i) q^{37} +(-2.75676 + 2.75676i) q^{38} +(-3.94682 - 2.76359i) q^{39} +(1.89879 + 1.18092i) q^{40} +(1.86584 + 5.12636i) q^{41} +(1.13914 + 0.955850i) q^{42} +0.700662i q^{43} +(0.544622 - 0.649056i) q^{44} +(-6.31160 + 0.900654i) q^{45} +(4.14669 + 1.50927i) q^{46} +(5.36839 - 1.43846i) q^{47} +(0.626065 - 2.33651i) q^{48} +(6.52148 - 1.14991i) q^{49} +(2.01434 - 4.57629i) q^{50} +(-0.0986070 + 0.0264217i) q^{51} +(-1.28034 - 1.52585i) q^{52} +(0.798464 - 9.12648i) q^{53} +(-0.152088 - 0.326153i) q^{54} +(-1.60882 - 1.00057i) q^{55} +(0.352606 + 0.503574i) q^{56} +(3.22544 - 8.86181i) q^{57} +(5.18653 + 0.453762i) q^{58} +(-3.03995 - 0.265962i) q^{59} +(-5.36996 - 0.647823i) q^{60} +(6.75909 + 3.15182i) q^{61} +(-5.87745 - 4.11543i) q^{62} +(-1.69307 - 0.453656i) q^{63} +(0.500000 - 0.866025i) q^{64} +(-2.97326 + 3.31621i) q^{65} +(-0.530454 + 1.97968i) q^{66} +(4.13108 - 0.361423i) q^{67} -0.0422027 q^{68} +(-10.6337 + 0.930325i) q^{69} +(1.00335 - 0.939615i) q^{70} +(-0.636257 + 3.60839i) q^{71} +(0.495111 + 2.80791i) q^{72} +(9.13665 + 9.13665i) q^{73} +(-0.210642 + 6.07911i) q^{74} +(0.262229 + 12.0918i) q^{75} +(2.23617 - 3.19358i) q^{76} +(-0.298757 - 0.426669i) q^{77} +(4.36675 + 2.03625i) q^{78} +(0.662312 + 7.57026i) q^{79} +(-2.07501 - 0.833259i) q^{80} +(7.21934 + 6.05775i) q^{81} +(-2.72768 - 4.72448i) q^{82} +(-5.60567 + 2.61397i) q^{83} +(-1.28781 - 0.743520i) q^{84} +(0.0133311 + 0.0934218i) q^{85} +(-0.121669 - 0.690017i) q^{86} +(-11.8343 + 4.30733i) q^{87} +(-0.423641 + 0.733768i) q^{88} +(-0.955971 + 10.9268i) q^{89} +(6.05932 - 1.98297i) q^{90} +(-1.10977 + 0.517495i) q^{91} +(-4.34577 - 0.766277i) q^{92} +(17.0922 + 3.01382i) q^{93} +(-5.03705 + 2.34881i) q^{94} +(-7.77582 - 3.94128i) q^{95} +(-0.210824 + 2.40973i) q^{96} +(-2.51925 + 4.36348i) q^{97} +(-6.22272 + 2.26489i) q^{98} +(-0.419498 - 2.37909i) q^{99} +O(q^{100})$
$\operatorname{Tr}(f)(q)$	$=$	$108 q + 6 q^{3} + 6 q^{10} + 36 q^{11} - 6 q^{12} - 12 q^{14} - 12 q^{17} - 12 q^{19} - 42 q^{21} - 36 q^{23} + 6 q^{24} - 6 q^{25} - 6 q^{26} - 6 q^{27} - 24 q^{30} + 6 q^{33} - 66 q^{35} + 48 q^{38} - 12 q^{40}+ \cdots + 42 q^{99}+O(q^{100})$ 108 * q + 6 * q^3 + 6 * q^10 + 36 * q^11 - 6 * q^12 - 12 * q^14 - 12 * q^17 - 12 * q^19 - 42 * q^21 - 36 * q^23 + 6 * q^24 - 6 * q^25 - 6 * q^26 - 6 * q^27 - 24 * q^30 + 6 * q^33 - 66 * q^35 + 48 * q^38 - 12 * q^40 + 48 * q^41 + 66 * q^42 - 6 * q^44 - 162 * q^45 + 6 * q^46 + 24 * q^47 + 12 * q^49 + 36 * q^50 - 12 * q^51 + 12 * q^53 + 18 * q^54 + 48 * q^57 + 6 * q^58 - 24 * q^59 - 36 * q^61 - 30 * q^62 + 102 * q^63 + 54 * q^64 + 54 * q^65 - 54 * q^67 + 96 * q^69 - 36 * q^70 - 48 * q^71 - 84 * q^73 - 42 * q^74 + 252 * q^75 - 6 * q^76 + 36 * q^77 - 36 * q^78 - 66 * q^79 - 6 * q^80 - 108 * q^81 + 6 * q^82 - 60 * q^83 - 18 * q^85 - 168 * q^87 + 12 * q^88 + 66 * q^89 + 12 * q^90 - 18 * q^91 - 18 * q^92 - 18 * q^94 - 18 * q^95 + 12 * q^96 - 36 * q^97 - 60 * q^98 + 42 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/370\mathbb{Z}\right)^\times$ .

$n$	$261$	$297$
$\chi(n)$	$e\left(\frac{25}{36}\right)$	$e\left(\frac{1}{4}\right)$

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

)

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

$2$	−0.984808	+	0.173648i	−0.696364	+	0.122788i
$2$	−0.984808	+	0.173648i	−0.696364	+	0.122788i
$3$	1.98147	−	1.38744i	1.14400	−	0.801040i	0.161425	−	0.986885i	$-0.448391\pi$
$3$	1.98147	−	1.38744i	1.14400	−	0.801040i	0.982579	+	0.185845i	$0.0595023\pi$
$4$	0.939693	−	0.342020i	0.469846	−	0.171010i
$5$	−1.05394	−	1.97211i	−0.471338	−	0.881953i
$5$	−1.05394	−	1.97211i	−0.471338	−	0.881953i
$6$	−1.71044	+	1.71044i	−0.698285	+	0.698285i
$7$	−0.0535790	−	0.612411i	−0.0202510	−	0.231470i	−0.999574	−	0.0291693i	$-0.990714\pi$
$7$	−0.0535790	−	0.612411i	−0.0202510	−	0.231470i	0.979324	−	0.202300i	$-0.0648417\pi$
$8$	−0.866025	+	0.500000i	−0.306186	+	0.176777i
$9$	0.975177	−	2.67928i	0.325059	−	0.893093i
$10$	1.38038	+	1.75913i	0.436516	+	0.556286i
$11$	0.733768	−	0.423641i	0.221239	−	0.127733i	−0.385285	−	0.922798i	$-0.625897\pi$
$11$	0.733768	−	0.423641i	0.221239	−	0.127733i	0.606524	+	0.795065i	$0.292563\pi$
$12$	1.38744	−	1.98147i	0.400520	−	0.572002i
$13$	−0.681256	−	1.87174i	−0.188947	−	0.519126i	0.808660	−	0.588277i	$-0.200193\pi$
$13$	−0.681256	−	1.87174i	−0.188947	−	0.519126i	−0.997606	+	0.0691504i	$0.977971\pi$
$14$	0.159109	+	0.593803i	0.0425237	+	0.158701i
$15$	−4.82454	−	2.44539i	−1.24569	−	0.631397i
$16$	0.766044	−	0.642788i	0.191511	−	0.160697i
$17$	−0.0396576	−	0.0144342i	−0.00961838	−	0.00350080i	0.337206	−	0.941431i	$-0.390518\pi$
$17$	−0.0396576	−	0.0144342i	−0.00961838	−	0.00350080i	−0.346825	+	0.937930i	$0.612740\pi$
$18$	−0.495111	+	2.80791i	−0.116699	+	0.661831i
$19$	3.19358	−	2.23617i	0.732658	−	0.513012i	−0.146696	−	0.989182i	$-0.546864\pi$
$19$	3.19358	−	2.23617i	0.732658	−	0.513012i	0.879354	+	0.476169i	$0.157975\pi$
$20$	−1.66488	−	1.49270i	−0.372279	−	0.333779i
$21$	−0.955850	−	1.13914i	−0.208584	−	0.248580i
$22$	−0.649056	+	0.544622i	−0.138379	+	0.116114i
$23$	−3.82161	−	2.20641i	−0.796860	−	0.460067i	0.0455120	−	0.998964i	$-0.485508\pi$
$23$	−3.82161	−	2.20641i	−0.796860	−	0.460067i	−0.842372	+	0.538896i	$0.818841\pi$
$24$	−1.02228	+	2.19230i	−0.208673	+	0.447501i
$25$	−2.77841	+	4.15698i	−0.555681	+	0.831395i
$26$	0.995930	+	1.72500i	0.195318	+	0.338301i
$27$	0.0931412	+	0.347608i	0.0179250	+	0.0668971i
$28$	−0.259805	−	0.557153i	−0.0490985	−	0.105292i
$29$	−5.02894	−	1.34750i	−0.933850	−	0.250224i	−0.240355	−	0.970685i	$-0.577264\pi$
$29$	−5.02894	−	1.34750i	−0.933850	−	0.250224i	−0.693496	+	0.720461i	$0.743930\pi$
$30$	5.17588	+	1.57046i	0.944983	+	0.286726i
$31$	5.07352	+	5.07352i	0.911231	+	0.911231i	0.996369	−	0.0851383i	$-0.0271332\pi$
$31$	5.07352	+	5.07352i	0.911231	+	0.911231i	−0.0851383	+	0.996369i	$0.527133\pi$
$32$	−0.642788	+	0.766044i	−0.113630	+	0.135419i
$33$	0.866163	−	1.85749i	0.150780	−	0.323348i
$34$	0.0415616	+	0.00732843i	0.00712775	+	0.00125681i
$35$	−1.15127	+	0.751110i	−0.194600	+	0.126961i
$36$		−	2.85123i		−	0.475205i
$37$	1.26307	−	5.95018i	0.207647	−	0.978204i
$37$	1.26307	−	5.95018i	0.207647	−	0.978204i
$38$	−2.75676	+	2.75676i	−0.447205	+	0.447205i
$39$	−3.94682	−	2.76359i	−0.631996	−	0.442529i
$40$	1.89879	+	1.18092i	0.300226	+	0.186720i
$41$	1.86584	+	5.12636i	0.291395	+	0.800602i	0.995863	+	0.0908663i	$0.0289636\pi$
$41$	1.86584	+	5.12636i	0.291395	+	0.800602i	−0.704468	+	0.709736i	$0.748814\pi$
$42$	1.13914	+	0.955850i	0.175773	+	0.147491i
$43$			0.700662i			0.106850i	0.998572	+	0.0534250i	$0.0170138\pi$
$43$			0.700662i			0.106850i	−0.998572	+	0.0534250i	$0.982986\pi$
$44$	0.544622	−	0.649056i	0.0821049	−	0.0978488i
$45$	−6.31160	+	0.900654i	−0.940878	+	0.134262i
$46$	4.14669	+	1.50927i	0.611395	+	0.222530i
$47$	5.36839	−	1.43846i	0.783061	−	0.209820i	0.154927	−	0.987926i	$-0.450486\pi$
$47$	5.36839	−	1.43846i	0.783061	−	0.209820i	0.628134	+	0.778106i	$0.283819\pi$
$48$	0.626065	−	2.33651i	0.0903648	−	0.337246i
$49$	6.52148	−	1.14991i	0.931640	−	0.164273i
$50$	2.01434	−	4.57629i	0.284871	−	0.647185i
$51$	−0.0986070	+	0.0264217i	−0.0138077	+	0.00369977i
$52$	−1.28034	−	1.52585i	−0.177552	−	0.211598i
$53$	0.798464	−	9.12648i	0.109677	−	1.25362i	−0.719444	−	0.694551i	$-0.755603\pi$
$53$	0.798464	−	9.12648i	0.109677	−	1.25362i	0.829121	−	0.559069i	$-0.188841\pi$
$54$	−0.152088	−	0.326153i	−0.0206965	−	0.0443838i
$55$	−1.60882	−	1.00057i	−0.216933	−	0.134917i
$56$	0.352606	+	0.503574i	0.0471190	+	0.0672929i
$57$	3.22544	−	8.86181i	0.427220	−	1.17378i
$58$	5.18653	+	0.453762i	0.681025	+	0.0595819i
$59$	−3.03995	−	0.265962i	−0.395768	−	0.0346252i	−0.112465	−	0.993656i	$-0.535875\pi$
$59$	−3.03995	−	0.265962i	−0.395768	−	0.0346252i	−0.283303	+	0.959030i	$0.591430\pi$
$60$	−5.36996	−	0.647823i	−0.693259	−	0.0836336i
$61$	6.75909	+	3.15182i	0.865413	+	0.403549i	0.804046	−	0.594567i	$-0.202676\pi$
$61$	6.75909	+	3.15182i	0.865413	+	0.403549i	0.0613665	+	0.998115i	$0.480454\pi$
$62$	−5.87745	−	4.11543i	−0.746437	−	0.522661i
$63$	−1.69307	−	0.453656i	−0.213307	−	0.0571553i
$64$	0.500000	−	0.866025i	0.0625000	−	0.108253i
$65$	−2.97326	+	3.31621i	−0.368787	+	0.411326i
$66$	−0.530454	+	1.97968i	−0.0652944	+	0.243682i
$67$	4.13108	−	0.361423i	0.504692	−	0.0441548i	0.168033	−	0.985781i	$-0.446259\pi$
$67$	4.13108	−	0.361423i	0.504692	−	0.0441548i	0.336659	+	0.941627i	$0.390703\pi$
$68$	−0.0422027			−0.00511783
$69$	−10.6337	+	0.930325i	−1.28014	+	0.111998i
$70$	1.00335	−	0.939615i	0.119923	−	0.112306i
$71$	−0.636257	+	3.60839i	−0.0755098	+	0.428237i	0.923494	+	0.383613i	$0.125320\pi$
$71$	−0.636257	+	3.60839i	−0.0755098	+	0.428237i	−0.999004	+	0.0446246i	$0.985791\pi$
$72$	0.495111	+	2.80791i	0.0583493	+	0.330916i
$73$	9.13665	+	9.13665i	1.06936	+	1.06936i	0.997408	+	0.0719565i	$0.0229243\pi$
$73$	9.13665	+	9.13665i	1.06936	+	1.06936i	0.0719565	+	0.997408i	$0.477076\pi$
$74$	−0.210642	+	6.07911i	−0.0244866	+	0.706683i
$75$	0.262229	+	12.0918i	0.0302796	+	1.39624i
$76$	2.23617	−	3.19358i	0.256506	−	0.366329i
$77$	−0.298757	−	0.426669i	−0.0340465	−	0.0486235i
$78$	4.36675	+	2.03625i	0.494437	+	0.230560i
$79$	0.662312	+	7.57026i	0.0745159	+	0.851721i	0.937839	+	0.347070i	$0.112823\pi$
$79$	0.662312	+	7.57026i	0.0745159	+	0.851721i	−0.863323	+	0.504651i	$0.831621\pi$
$80$	−2.07501	−	0.833259i	−0.231994	−	0.0931612i
$81$	7.21934	+	6.05775i	0.802149	+	0.673083i
$82$	−2.72768	−	4.72448i	−0.301222	−	0.521731i
$83$	−5.60567	+	2.61397i	−0.615302	+	0.286920i	−0.705175	−	0.709033i	$-0.749132\pi$
$83$	−5.60567	+	2.61397i	−0.615302	+	0.286920i	0.0898731	+	0.995953i	$0.471354\pi$
$84$	−1.28781	−	0.743520i	−0.140512	−	0.0811246i
$85$	0.0133311	+	0.0934218i	0.00144596	+	0.0101330i
$86$	−0.121669	−	0.690017i	−0.0131199	−	0.0744065i
$87$	−11.8343	+	4.30733i	−1.26877	+	0.461794i
$88$	−0.423641	+	0.733768i	−0.0451603	+	0.0782199i
$89$	−0.955971	+	10.9268i	−0.101333	+	1.15824i	0.759905	+	0.650035i	$0.225246\pi$
$89$	−0.955971	+	10.9268i	−0.101333	+	1.15824i	−0.861237	+	0.508203i	$0.830310\pi$
$90$	6.05932	−	1.98297i	0.638708	−	0.209023i
$91$	−1.10977	+	0.517495i	−0.116336	+	0.0542482i
$92$	−4.34577	−	0.766277i	−0.453078	−	0.0798898i
$93$	17.0922	+	3.01382i	1.77238	+	0.312519i
$94$	−5.03705	+	2.34881i	−0.519532	+	0.242262i
$95$	−7.77582	−	3.94128i	−0.797782	−	0.404367i
$96$	−0.210824	+	2.40973i	−0.0215171	+	0.245942i
$97$	−2.51925	+	4.36348i	−0.255792	+	0.443044i	−0.965110	−	0.261844i	$-0.915669\pi$
$97$	−2.51925	+	4.36348i	−0.255792	+	0.443044i	0.709319	+	0.704888i	$0.249003\pi$
$98$	−6.22272	+	2.26489i	−0.628590	+	0.228788i
$99$	−0.419498	−	2.37909i	−0.0421612	−	0.239108i
$100$	−1.18908	+	4.85655i	−0.118908	+	0.485655i
$101$	10.7004	+	6.17787i	1.06473	+	0.614722i	0.926737	−	0.375712i	$-0.122602\pi$
$101$	10.7004	+	6.17787i	1.06473	+	0.614722i	0.137992	+	0.990433i	$0.455935\pi$
$102$	0.0925209	−	0.0431432i	0.00916093	−	0.00427181i
$103$	−4.42576	−	7.66565i	−0.436084	−	0.755319i	0.561300	−	0.827613i	$-0.310301\pi$
$103$	−4.42576	−	7.66565i	−0.436084	−	0.755319i	−0.997383	+	0.0722936i	$0.976968\pi$
$104$	1.52585	+	1.28034i	0.149622	+	0.125548i
$105$	−1.23909	+	3.08563i	−0.120923	+	0.301126i
$106$	0.798464	+	9.12648i	0.0775537	+	0.886443i
$107$	6.27209	+	2.92472i	0.606346	+	0.282744i	0.701444	−	0.712724i	$-0.252539\pi$
$107$	6.27209	+	2.92472i	0.606346	+	0.282744i	−0.0950988	+	0.995468i	$0.530317\pi$
$108$	0.206413	+	0.294788i	0.0198621	+	0.0283660i
$109$	−7.61502	+	10.8754i	−0.729387	+	1.04167i	0.267556	+	0.963542i	$0.413784\pi$
$109$	−7.61502	+	10.8754i	−0.729387	+	1.04167i	−0.996943	+	0.0781303i	$0.975105\pi$
$110$	1.75812	+	0.706006i	0.167630	+	0.0673150i
$111$	−5.75279	−	13.5426i	−0.546031	−	1.28540i
$112$	−0.434694	−	0.434694i	−0.0410747	−	0.0410747i
$113$	−1.63869	−	9.29350i	−0.154155	−	0.874259i	−0.959554	−	0.281525i	$-0.909160\pi$
$113$	−1.63869	−	9.29350i	−0.154155	−	0.874259i	0.805398	−	0.592734i	$-0.201951\pi$
$114$	−1.63760	+	9.28727i	−0.153375	+	0.869833i
$115$	−0.323509	+	9.86204i	−0.0301674	+	0.919640i
$116$	−5.18653	+	0.453762i	−0.481557	+	0.0421308i
$117$	−5.67925			−0.525047
$118$	3.03995	−	0.265962i	0.279850	−	0.0244837i
$119$	−0.00671484	+	0.0250601i	−0.000615548	+	0.00229726i
$120$	5.40087	−	0.294503i	0.493030	−	0.0268843i
$121$	−5.14106	+	8.90457i	−0.467369	+	0.809506i
$122$	−7.20371	−	1.93023i	−0.652193	−	0.174755i
$123$	10.8096	+	7.56899i	0.974672	+	0.682473i
$124$	6.50279	+	3.03230i	0.583968	+	0.272309i
$125$	11.1263	+	1.09809i	0.995165	+	0.0982165i
$126$	1.74612	+	0.152766i	0.155557	+	0.0136095i
$127$	5.63800	+	0.493261i	0.500291	+	0.0437698i	0.334509	−	0.942393i	$-0.391430\pi$
$127$	5.63800	+	0.493261i	0.500291	+	0.0437698i	0.165782	+	0.986162i	$0.446985\pi$
$128$	−0.342020	+	0.939693i	−0.0302306	+	0.0830579i
$129$	0.972128	+	1.38834i	0.0855911	+	0.122237i
$130$	2.35223	−	3.78213i	0.206304	−	0.331715i
$131$	−8.71054	−	18.6798i	−0.761044	−	1.63206i	−0.774839	−	0.632159i	$-0.782169\pi$
$131$	−8.71054	−	18.6798i	−0.761044	−	1.63206i	0.0137954	−	0.999905i	$-0.495609\pi$
$132$	0.178627	−	2.04172i	0.0155475	−	0.177709i
$133$	−1.54056	−	1.83597i	−0.133584	−	0.159199i
$134$	−4.00556	+	1.07329i	−0.346028	+	0.0927178i
$135$	0.587354	−	0.550043i	0.0505513	−	0.0473402i
$136$	0.0415616	−	0.00732843i	0.00356388	−	0.000628407i
$137$	0.971170	−	3.62446i	0.0829727	−	0.309658i	−0.911950	−	0.410302i	$-0.865423\pi$
$137$	0.971170	−	3.62446i	0.0829727	−	0.309658i	0.994923	+	0.100643i	$0.0320901\pi$
$138$	10.3106	−	2.76271i	0.877694	−	0.235177i
$139$	2.41444	+	0.878783i	0.204790	+	0.0745374i	0.442378	−	0.896828i	$-0.354135\pi$
$139$	2.41444	+	0.878783i	0.204790	+	0.0745374i	−0.237589	+	0.971366i	$0.576357\pi$
$140$	−0.824946	+	1.09957i	−0.0697206	+	0.0929307i
$141$	8.64155	−	10.2986i	0.727750	−	0.867298i
$142$		−	3.66406i		−	0.307481i
$143$	−1.29283	−	1.08481i	−0.108112	−	0.0907165i
$144$	−0.975177	−	2.67928i	−0.0812648	−	0.223273i
$145$	2.64280	+	11.3378i	0.219473	+	0.941552i
$146$	−10.5844	−	7.41128i	−0.875972	−	0.613362i
$147$	11.3267	−	11.3267i	0.934210	−	0.934210i
$148$	−0.848185	−	6.02334i	−0.0697204	−	0.495115i
$149$			19.5879i			1.60471i	0.596849	+	0.802354i	$0.296419\pi$
$149$			19.5879i			1.60471i	−0.596849	+	0.802354i	$0.703581\pi$
$150$	−2.35797	−	11.8626i	−0.192527	−	0.968575i
$151$	−8.27020	−	1.45826i	−0.673019	−	0.118671i	−0.173314	−	0.984867i	$-0.555447\pi$
$151$	−8.27020	−	1.45826i	−0.673019	−	0.118671i	−0.499706	+	0.866195i	$0.666559\pi$
$152$	−1.64764	+	3.53337i	−0.133641	+	0.286594i
$153$	−0.0773464	+	0.0921778i	−0.00625308	+	0.00745213i
$154$	0.368309	+	0.368309i	0.0296792	+	0.0296792i
$155$	4.65832	−	15.3527i	0.374165	−	1.23316i
$156$	−4.65400	−	1.24703i	−0.372618	−	0.0998427i
$157$	−7.84088	−	16.8148i	−0.625770	−	1.34197i	−0.922126	−	0.386891i	$-0.873549\pi$
$157$	−7.84088	−	16.8148i	−0.625770	−	1.34197i	0.296355	−	0.955078i	$-0.404229\pi$
$158$	−1.96681	−	7.34024i	−0.156471	−	0.583958i
$159$	−11.0803	−	19.1917i	−0.878728	−	1.52200i
$160$	2.18818	+	0.460278i	0.172991	+	0.0363882i
$161$	−1.14647	+	2.45861i	−0.0903544	+	0.193766i
$162$	−8.16158	−	4.71209i	−0.641234	−	0.370217i
$163$	−13.5239	+	11.3479i	−1.05927	+	0.888834i	−0.994038	−	0.109036i	$-0.965224\pi$
$163$	−13.5239	+	11.3479i	−1.05927	+	0.888834i	−0.0652335	+	0.997870i	$0.520779\pi$
$164$	3.50663	+	4.17904i	0.273822	+	0.326329i
$165$	−4.57606	+	0.249527i	−0.356246	+	0.0194256i
$166$	5.06659	−	3.54767i	0.393244	−	0.275352i
$167$	0.946057	−	5.36536i	0.0732081	−	0.415184i	−0.926075	−	0.377338i	$-0.876839\pi$
$167$	0.946057	−	5.36536i	0.0732081	−	0.415184i	0.999284	−	0.0378455i	$-0.0120495\pi$
$168$	1.39736	+	0.508597i	0.107809	+	0.0392391i
$169$	6.91929	−	5.80597i	0.532253	−	0.446613i
$170$	−0.0293511	−	0.0896876i	−0.00225113	−	0.00687872i
$171$	−2.87701	−	10.7371i	−0.220011	−	0.821090i
$172$	0.239640	+	0.658407i	0.0182724	+	0.0502031i
$173$	−4.51607	+	6.44962i	−0.343351	+	0.490355i	−0.953275	−	0.302104i	$-0.902311\pi$
$173$	−4.51607	+	6.44962i	−0.343351	+	0.490355i	0.609924	+	0.792460i	$0.291200\pi$
$174$	10.9065	−	6.29689i	0.826822	−	0.477366i
$175$	2.69464	+	1.47880i	0.203696	+	0.111787i
$176$	0.289788	−	0.796185i	0.0218436	−	0.0600147i
$177$	−6.39259	+	3.69076i	−0.480497	+	0.277415i
$178$	−0.955971	−	10.9268i	−0.0716530	−	0.818998i
$179$	10.5972	−	10.5972i	0.792070	−	0.792070i	−0.189760	−	0.981830i	$-0.560771\pi$
$179$	10.5972	−	10.5972i	0.792070	−	0.792070i	0.981830	+	0.189760i	$0.0607710\pi$
$180$	−5.62292	+	3.00503i	−0.419108	+	0.223982i
$181$	14.3618	−	5.22727i	1.06750	−	0.388540i	0.252262	−	0.967659i	$-0.418826\pi$
$181$	14.3618	−	5.22727i	1.06750	−	0.388540i	0.815243	+	0.579119i	$0.196603\pi$
$182$	1.00305	−	0.702343i	0.0743510	−	0.0520611i
$183$	17.7659	−	3.13261i	1.31329	−	0.231569i
$184$	4.41281			0.325317
$185$	−13.0656	+	3.78025i	−0.960602	+	0.277929i
$186$	−17.3559			−1.27260
$187$	−0.0352144	+	0.00620925i	−0.00257513	+	0.000454065i
$188$	4.55266	−	3.18781i	0.332037	−	0.232495i
$189$	0.207888	−	0.0756652i	0.0151217	−	0.00550383i
$190$	8.34208	+	2.53115i	0.605198	+	0.183629i
$191$	−7.64262	+	7.64262i	−0.553001	+	0.553001i	−0.927306	−	0.374305i	$-0.877881\pi$
$191$	−7.64262	+	7.64262i	−0.553001	+	0.553001i	0.374305	+	0.927306i	$0.377881\pi$
$192$	−0.210824	−	2.40973i	−0.0152149	−	0.173907i
$193$	4.04581	−	2.33585i	0.291224	−	0.168138i	−0.347270	−	0.937765i	$-0.612891\pi$
$193$	4.04581	−	2.33585i	0.291224	−	0.168138i	0.638494	+	0.769627i	$0.279558\pi$
$194$	1.72327	−	4.73465i	0.123724	−	0.339928i
$195$	−1.29037	+	10.6962i	−0.0924055	+	0.765971i
$196$	5.73489	−	3.31104i	0.409635	−	0.236503i
$197$	−0.999182	+	1.42698i	−0.0711887	+	0.101668i	−0.853168	−	0.521637i	$-0.825322\pi$
$197$	−0.999182	+	1.42698i	−0.0711887	+	0.101668i	0.781979	+	0.623305i	$0.214210\pi$
$198$	0.826250	+	2.27010i	0.0587191	+	0.161329i
$199$	−5.82407	−	21.7357i	−0.412857	−	1.54080i	−0.789089	−	0.614279i	$-0.789447\pi$
$199$	−5.82407	−	21.7357i	−0.412857	−	1.54080i	0.376231	−	0.926526i	$-0.377220\pi$
$200$	0.327682	−	4.98925i	0.0231706	−	0.352793i
$201$	7.68417	−	6.44778i	0.541999	−	0.454791i
$202$	−11.6106	−	4.22592i	−0.816919	−	0.297334i
$203$	−0.555778	+	3.15198i	−0.0390080	+	0.221225i
$204$	−0.0836235	+	0.0585538i	−0.00585482	+	0.00409959i
$205$	8.14323	−	9.08253i	0.568748	−	0.634351i
$206$	5.68965	+	6.78067i	0.396417	+	0.472431i
$207$	−9.63832	+	8.08751i	−0.669909	+	0.562121i
$208$	−1.72500	−	0.995930i	−0.119607	−	0.0690553i
$209$	1.39601	−	2.99376i	0.0965643	−	0.207083i
$210$	0.684451	−	3.25391i	0.0472316	−	0.224541i
$211$	−9.79749	−	16.9697i	−0.674487	−	1.16825i	−0.976619	−	0.214979i	$-0.931032\pi$
$211$	−9.79749	−	16.9697i	−0.674487	−	1.16825i	0.302132	−	0.953266i	$-0.402302\pi$
$212$	−2.37113	−	8.84918i	−0.162850	−	0.607764i
$213$	3.74571	+	8.03270i	0.256652	+	0.550392i
$214$	−6.68467	−	1.79115i	−0.456955	−	0.122441i
$215$	1.38178	−	0.738458i	0.0942366	−	0.0503624i
$216$	−0.254466	−	0.254466i	−0.0173142	−	0.0173142i
$217$	2.83525	−	3.37891i	0.192469	−	0.229376i
$218$	5.61084	−	12.0325i	0.380014	−	0.814943i
$219$	30.7806	+	5.42745i	2.07996	+	0.366753i
$220$	−1.85401	−	0.389985i	−0.124997	−	0.0262928i
$221$			0.0840619i			0.00565462i
$222$	8.01704	+	12.3379i	0.538068	+	0.828062i
$223$	−19.2339	+	19.2339i	−1.28800	+	1.28800i	−0.351996	+	0.936001i	$0.614497\pi$
$223$	−19.2339	+	19.2339i	−1.28800	+	1.28800i	−0.936001	+	0.351996i	$0.885503\pi$
$224$	0.503574	+	0.352606i	0.0336465	+	0.0235595i
$225$	8.42826	+	11.4979i	0.561884	+	0.766527i
$226$	3.22760	+	8.86775i	0.214697	+	0.589874i
$227$	−4.78313	−	4.01352i	−0.317468	−	0.266387i	0.470103	−	0.882612i	$-0.344217\pi$
$227$	−4.78313	−	4.01352i	−0.317468	−	0.266387i	−0.787570	+	0.616225i	$0.788661\pi$
$228$		−	9.43055i		−	0.624553i
$229$	7.37359	−	8.78750i	0.487261	−	0.580695i	−0.465258	−	0.885175i	$-0.654038\pi$
$229$	7.37359	−	8.78750i	0.487261	−	0.580695i	0.952519	+	0.304481i	$0.0984829\pi$
$230$	−1.39393	−	9.76839i	−0.0919131	−	0.644109i
$231$	−1.18396	−	0.430925i	−0.0778987	−	0.0283528i
$232$	5.02894	−	1.34750i	0.330166	−	0.0884677i
$233$	−6.41524	+	23.9420i	−0.420276	+	1.56849i	0.353751	+	0.935340i	$0.384906\pi$
$233$	−6.41524	+	23.9420i	−0.420276	+	1.56849i	−0.774027	+	0.633152i	$0.781761\pi$
$234$	5.59297	−	0.986191i	0.365624	−	0.0644693i
$235$	−8.49477	−	9.07099i	−0.554138	−	0.591726i
$236$	−2.94759	+	0.789803i	−0.191872	+	0.0514118i
$237$	11.8156	+	14.0813i	0.767509	+	0.914681i
$238$	0.00226118	−	0.0258454i	0.000146571	−	0.00167531i
$239$	3.18122	+	6.82214i	0.205776	+	0.441288i	0.981927	−	0.189259i	$-0.0606086\pi$
$239$	3.18122	+	6.82214i	0.205776	+	0.441288i	−0.776151	+	0.630547i	$0.782831\pi$
$240$	−5.26768	+	1.22788i	−0.340027	+	0.0792593i
$241$	14.8169	+	21.1607i	0.954439	+	1.36308i	0.931657	+	0.363339i	$0.118363\pi$
$241$	14.8169	+	21.1607i	0.954439	+	1.36308i	0.0227817	+	0.999740i	$0.492748\pi$
$242$	3.51669	−	9.66203i	0.226061	−	0.621099i
$243$	21.6342	+	1.89275i	1.38783	+	0.121420i
$244$	7.42945	+	0.649993i	0.475622	+	0.0416115i
$245$	−9.14102	−	11.6491i	−0.583998	−	0.744234i
$246$	−11.9598	−	5.57692i	−0.762526	−	0.355572i
$247$	−6.36117	−	4.45414i	−0.404751	−	0.283410i
$248$	−6.93056	−	1.85704i	−0.440091	−	0.117922i
$249$	−7.48075	+	12.9570i	−0.474073	+	0.821119i
$250$	−11.1479	+	0.850647i	−0.705057	+	0.0537997i
$251$	4.97051	−	18.5502i	0.313736	−	1.17088i	−0.611424	−	0.791303i	$-0.709403\pi$
$251$	4.97051	−	18.5502i	0.313736	−	1.17088i	0.925160	−	0.379576i	$-0.123930\pi$
$252$	−1.74612	+	0.152766i	−0.109995	+	0.00962336i
$253$	−3.73890			−0.235062
$254$	−5.63800	+	0.493261i	−0.353759	+	0.0309499i
$255$	0.156033	+	0.166617i	0.00977114	+	0.0104339i
$256$	0.173648	−	0.984808i	0.0108530	−	0.0615505i
$257$	2.13900	+	12.1309i	0.133427	+	0.756704i	0.975942	+	0.218031i	$0.0699632\pi$
$257$	2.13900	+	12.1309i	0.133427	+	0.756704i	−0.842515	+	0.538674i	$0.818926\pi$
$258$	−1.19844	−	1.19844i	−0.0746117	−	0.0746117i
$259$	−3.71163	−	0.454713i	−0.230630	−	0.0282545i
$260$	−1.65974	+	4.13314i	−0.102932	+	0.256326i
$261$	−8.51443	+	12.1599i	−0.527030	+	0.752677i
$262$	11.8219	+	16.8835i	0.730361	+	1.04306i
$263$	−20.1338	−	9.38855i	−1.24150	−	0.578923i	−0.312826	−	0.949810i	$-0.601276\pi$
$263$	−20.1338	−	9.38855i	−1.24150	−	0.578923i	−0.928678	+	0.370887i	$0.879054\pi$
$264$	0.178627	+	2.04172i	0.0109937	+	0.125659i
$265$	−18.8399	+	8.04414i	−1.15733	+	0.494148i
$266$	1.83597	+	1.54056i	0.112571	+	0.0944580i
$267$	13.2661	+	22.9775i	0.811870	+	1.40620i
$268$	3.75833	−	1.75254i	0.229577	−	0.107053i
$269$	−21.1847	−	12.2310i	−1.29165	−	0.745736i	−0.312706	−	0.949850i	$-0.601235\pi$
$269$	−21.1847	−	12.2310i	−1.29165	−	0.745736i	−0.978947	+	0.204114i	$0.934569\pi$
$270$	−0.482916	+	0.643680i	−0.0293894	+	0.0391731i
$271$	−1.98935	−	11.2821i	−0.120844	−	0.685341i	−0.983690	−	0.179874i	$-0.942431\pi$
$271$	−1.98935	−	11.2821i	−0.120844	−	0.685341i	0.862846	−	0.505468i	$-0.168680\pi$
$272$	−0.0396576	+	0.0144342i	−0.00240459	+	0.000875201i
$273$	−1.48099	+	2.56515i	−0.0896334	+	0.155250i
$274$	−0.327036	+	3.73804i	−0.0197569	+	0.225823i
$275$	−0.277639	+	4.22730i	−0.0167423	+	0.254916i
$276$	−9.67419	+	4.51115i	−0.582318	+	0.271539i
$277$	16.9554	+	2.98969i	1.01875	+	0.179633i	0.657991	−	0.753026i	$-0.271407\pi$
$277$	16.9554	+	2.98969i	1.01875	+	0.179633i	0.360759	+	0.932659i	$0.382518\pi$
$278$	−2.53035	−	0.446170i	−0.151761	−	0.0267595i
$279$	18.5409	−	8.64578i	1.11002	−	0.517610i
$280$	0.621475	−	1.22612i	0.0371402	−	0.0732744i
$281$	−0.636931	+	7.28016i	−0.0379961	+	0.434298i	0.953242	+	0.302209i	$0.0977240\pi$
$281$	−0.636931	+	7.28016i	−0.0379961	+	0.434298i	−0.991238	+	0.132089i	$0.957832\pi$
$282$	−6.72193	+	11.6427i	−0.400285	+	0.693314i
$283$	−16.7703	+	6.10391i	−0.996894	+	0.362840i	−0.788386	−	0.615181i	$-0.789083\pi$
$283$	−16.7703	+	6.10391i	−0.996894	+	0.362840i	−0.208508	+	0.978021i	$0.566861\pi$
$284$	0.636257	+	3.60839i	0.0377549	+	0.214119i
$285$	−20.8759	+	2.97895i	−1.23658	+	0.176458i
$286$	1.46156	+	0.843834i	0.0864240	+	0.0498969i
$287$	3.03947	−	1.41733i	0.179414	−	0.0836622i
$288$	1.42561	+	2.46924i	0.0840051	+	0.145501i
$289$	−13.0214	−	10.9262i	−0.765964	−	0.642720i
$290$	−4.57144	−	10.7066i	−0.268444	−	0.628715i
$291$	1.06224	+	12.1414i	0.0622695	+	0.711743i
$292$	11.7106	+	5.46073i	0.685309	+	0.319565i
$293$	1.46958	+	2.09878i	0.0858538	+	0.122612i	0.859782	−	0.510662i	$-0.170600\pi$
$293$	1.46958	+	2.09878i	0.0858538	+	0.122612i	−0.773928	+	0.633274i	$0.781711\pi$
$294$	−9.18775	+	13.1215i	−0.535841	+	0.765260i
$295$	2.67944	+	6.27542i	0.156003	+	0.365369i
$296$	1.88124	+	5.78454i	0.109345	+	0.336220i
$297$	0.215605	+	0.215605i	0.0125107	+	0.0125107i
$298$	−3.40141	−	19.2904i	−0.197038	−	1.11746i
$299$	−1.52632	+	8.65617i	−0.0882691	+	0.500599i
$300$	4.38206	+	11.2729i	0.252998	+	0.650841i
$301$	0.429093	−	0.0375408i	0.0247325	−	0.00216382i
$302$	8.39778			0.483238
$303$	29.7740	−	2.60489i	1.71047	−	0.149647i
$304$	1.00904	−	3.76580i	0.0578726	−	0.215983i
$305$	−0.907984	−	16.6515i	−0.0519910	−	0.953461i
$306$	0.0601648	−	0.104208i	0.00343939	−	0.00595720i
$307$	−22.0336	−	5.90390i	−1.25753	−	0.336953i	−0.432287	−	0.901736i	$-0.642293\pi$
$307$	−22.0336	−	5.90390i	−1.25753	−	0.336953i	−0.825239	+	0.564783i	$0.808960\pi$
$308$	−0.426669	−	0.298757i	−0.0243117	−	0.0170233i
$309$	−19.4052	−	9.04878i	−1.10392	−	0.514767i
$310$	−1.92157	+	15.9284i	−0.109138	+	0.904671i
$311$	−16.4956	−	1.44317i	−0.935377	−	0.0818349i	−0.390735	−	0.920503i	$-0.627779\pi$
$311$	−16.4956	−	1.44317i	−0.935377	−	0.0818349i	−0.544642	+	0.838668i	$0.683335\pi$
$312$	4.79984	+	0.419931i	0.271737	+	0.0237739i
$313$	1.66467	−	4.57363i	0.0940925	−	0.258517i	−0.883714	−	0.468027i	$-0.844965\pi$
$313$	1.66467	−	4.57363i	0.0940925	−	0.258517i	0.977806	+	0.209510i	$0.0671870\pi$
$314$	10.6416	+	15.1978i	0.600541	+	0.857662i
$315$	0.889740	+	3.81704i	0.0501312	+	0.215066i
$316$	3.21155	+	6.88719i	0.180664	+	0.387435i
$317$	−1.60383	+	18.3319i	−0.0900801	+	1.02962i	0.807822	+	0.589426i	$0.200646\pi$
$317$	−1.60383	+	18.3319i	−0.0900801	+	1.02962i	−0.897903	+	0.440194i	$0.854910\pi$
$318$	14.2446	+	16.9761i	0.798798	+	0.951970i
$319$	−4.26093	+	1.14171i	−0.238566	+	0.0639236i
$320$	−2.23487	−	0.0733113i	−0.124933	−	0.00409823i
$321$	16.4858	−	2.90690i	0.920150	−	0.162247i
$322$	0.702119	−	2.62034i	0.0391275	−	0.146026i
$323$	−0.158927	+	0.0425844i	−0.00884293	+	0.00236946i
$324$	8.85584	+	3.22326i	0.491991	+	0.179070i
$325$	9.67357	+	2.36848i	0.536593	+	0.131379i
$326$	11.3479	−	13.5239i	0.628501	−	0.749018i
$327$			32.1147i			1.77595i
$328$	−4.17904	−	3.50663i	−0.230749	−	0.193622i
$329$	−1.16856	−	3.21059i	−0.0644248	−	0.177006i
$330$	4.46321	−	1.04036i	0.245692	−	0.0572700i
$331$	4.82799	+	3.38060i	0.265370	+	0.185814i	0.698687	−	0.715427i	$-0.253768\pi$
$331$	4.82799	+	3.38060i	0.265370	+	0.185814i	−0.433317	+	0.901242i	$0.642657\pi$
$332$	−4.37358	+	4.37358i	−0.240031	+	0.240031i
$333$	−14.7105	−	9.18659i	−0.806129	−	0.503422i
$334$			5.44813i			0.298108i
$335$	−5.06669	−	7.76601i	−0.276823	−	0.424302i
$336$	−1.46445	−	0.258222i	−0.0798922	−	0.0140871i
$337$	13.0124	−	27.9052i	0.708831	−	1.52009i	−0.139267	−	0.990255i	$-0.544475\pi$
$337$	13.0124	−	27.9052i	0.708831	−	1.52009i	0.848099	−	0.529838i	$-0.177747\pi$
$338$	−5.80597	+	6.91929i	−0.315803	+	0.376360i
$339$	−16.1412	−	16.1412i	−0.876671	−	0.876671i
$340$	0.0444793	+	0.0832283i	0.00241223	+	0.00451369i
$341$	5.87214	+	1.57343i	0.317994	+	0.0852062i
$342$	4.69779	+	10.0744i	0.254027	+	0.544763i
$343$	−2.16740	−	8.08884i	−0.117028	−	0.436756i
$344$	−0.350331	−	0.606791i	−0.0188886	−	0.0327160i
$345$	13.0420	+	19.9902i	0.702157	+	1.07624i
$346$	3.32750	−	7.13584i	0.178887	−	0.383625i
$347$	28.4542	+	16.4280i	1.52750	+	0.881903i	0.999466	+	0.0326805i	$0.0104044\pi$
$347$	28.4542	+	16.4280i	1.52750	+	0.881903i	0.528035	+	0.849223i	$0.322929\pi$
$348$	−9.64739	+	8.09512i	−0.517155	+	0.433944i
$349$	−14.8777	−	17.7306i	−0.796385	−	0.949095i	0.203163	−	0.979145i	$-0.434878\pi$
$349$	−14.8777	−	17.7306i	−0.796385	−	0.949095i	−0.999548	+	0.0300497i	$0.990433\pi$
$350$	−2.91050	−	0.988414i	−0.155573	−	0.0528330i
$351$	0.587177	−	0.411146i	0.0313412	−	0.0219453i
$352$	−0.147129	+	0.834410i	−0.00784200	+	0.0444742i
$353$	19.1985	+	6.98767i	1.02183	+	0.371916i	0.797965	−	0.602704i	$-0.205910\pi$
$353$	19.1985	+	6.98767i	1.02183	+	0.371916i	0.223866	+	0.974620i	$0.428132\pi$
$354$	5.65458	−	4.74475i	0.300537	−	0.252181i
$355$	7.78671	−	2.54828i	0.413276	−	0.135248i
$356$	2.83886	+	10.5948i	0.150460	+	0.561523i
$357$	0.0214642	+	0.0589724i	0.00113601	+	0.00312115i
$358$	−8.59600	+	12.2764i	−0.454313	+	0.648826i
$359$	9.09907	−	5.25335i	0.480230	−	0.277261i	−0.240282	−	0.970703i	$-0.577240\pi$
$359$	9.09907	−	5.25335i	0.480230	−	0.277261i	0.720512	+	0.693442i	$0.243907\pi$
$360$	5.01568	−	3.93579i	0.264350	−	0.207434i
$361$	−1.29988	+	3.57139i	−0.0684147	+	0.187968i
$362$	−13.2359	+	7.64176i	−0.695664	+	0.401642i
$363$	2.16771	+	24.7771i	0.113775	+	1.30046i
$364$	−0.865850	+	0.865850i	−0.0453829	+	0.0453829i
$365$	8.38893	−	27.6480i	0.439097	−	1.44716i
$366$	−16.9520	+	6.17004i	−0.886097	+	0.322513i
$367$	−20.3027	+	14.2161i	−1.05979	+	0.742074i	−0.967299	−	0.253640i	$-0.918372\pi$
$367$	−20.3027	+	14.2161i	−1.05979	+	0.742074i	−0.0924924	+	0.995713i	$0.529483\pi$
$368$	−4.34577	+	0.766277i	−0.226539	+	0.0399449i
$369$	15.5545			0.809733
$370$	12.2107	−	5.99163i	0.634802	−	0.311490i
$371$	−5.63194			−0.292396
$372$	17.0922	−	3.01382i	0.886192	−	0.156260i
$373$	−13.8640	+	9.70769i	−0.717852	+	0.502645i	−0.874510	−	0.485008i	$-0.838817\pi$
$373$	−13.8640	+	9.70769i	−0.717852	+	0.502645i	0.156658	+	0.987653i	$0.449928\pi$
$374$	0.0336012	−	0.0122298i	0.00173748	−	0.000632389i
$375$	23.5700	−	13.2612i	1.21715	−	0.684807i
$376$	−3.92994	+	3.92994i	−0.202671	+	0.202671i
$377$	0.903831	+	10.3308i	0.0465497	+	0.532065i
$378$	−0.191591	+	0.110615i	−0.00985438	+	0.00568943i
$379$	8.13328	−	22.3460i	0.417779	−	1.14784i	−0.535180	−	0.844738i	$-0.679756\pi$
$379$	8.13328	−	22.3460i	0.417779	−	1.14784i	0.952959	−	0.303099i	$-0.0980214\pi$
$380$	−8.65488	−	1.04411i	−0.443986	−	0.0535617i
$381$	11.8559	−	6.84501i	0.607396	−	0.350680i
$382$	6.19939	−	8.85364i	0.317188	−	0.452992i
$383$	−10.8250	−	29.7416i	−0.553134	−	1.51972i	−0.829408	−	0.558644i	$-0.811322\pi$
$383$	−10.8250	−	29.7416i	−0.553134	−	1.51972i	0.276274	−	0.961079i	$-0.410900\pi$
$384$	0.626065	+	2.33651i	0.0319488	+	0.119234i
$385$	−0.526564	+	1.03887i	−0.0268362	+	0.0529455i
$386$	−3.57873	+	3.00291i	−0.182153	+	0.152844i
$387$	1.87727	+	0.683270i	0.0954269	+	0.0347325i
$388$	−0.874928	+	4.96196i	−0.0444177	+	0.251906i
$389$	8.52082	−	5.96634i	0.432023	−	0.302505i	−0.337263	−	0.941410i	$-0.609501\pi$
$389$	8.52082	−	5.96634i	0.432023	−	0.302505i	0.769286	+	0.638905i	$0.220612\pi$
$390$	−0.586608	−	10.7578i	−0.0297040	−	0.544741i
$391$	0.119708	+	0.142662i	0.00605390	+	0.00721475i
$392$	−5.07281	+	4.25659i	−0.256216	+	0.214990i
$393$	−43.1769	−	24.9282i	−2.17798	−	1.25746i
$394$	0.736209	−	1.57881i	0.0370897	−	0.0795391i
$395$	14.2313	−	9.28477i	0.716055	−	0.467168i
$396$	−1.20790	−	2.09214i	−0.0606991	−	0.105134i
$397$	−2.54993	−	9.51646i	−0.127977	−	0.477618i	0.871951	−	0.489593i	$-0.162855\pi$
$397$	−2.54993	−	9.51646i	−0.127977	−	0.477618i	−0.999928	+	0.0119754i	$0.996188\pi$
$398$	9.50996	+	20.3942i	0.476691	+	1.02227i
$399$	−5.59989	−	1.50049i	−0.280345	−	0.0751183i
$400$	0.543671	+	4.97035i	0.0271835	+	0.248518i
$401$	4.47543	+	4.47543i	0.223492	+	0.223492i	0.809967	−	0.586475i	$-0.199485\pi$
$401$	4.47543	+	4.47543i	0.223492	+	0.223492i	−0.586475	+	0.809967i	$0.699485\pi$
$402$	−6.44778	+	7.68417i	−0.321586	+	0.383251i
$403$	6.03992	−	12.9527i	0.300870	−	0.645218i
$404$	12.1680	+	2.14555i	0.605383	+	0.106745i
$405$	4.33774	−	20.6218i	0.215544	−	1.02471i
$406$		−	3.20060i		−	0.158843i
$407$	−1.59394	−	4.90114i	−0.0790088	−	0.242940i
$408$	0.0721853	−	0.0721853i	0.00357371	−	0.00357371i
$409$	18.2042	+	12.7467i	0.900140	+	0.630285i	0.929314	−	0.369289i	$-0.120399\pi$
$409$	18.2042	+	12.7467i	0.900140	+	0.630285i	−0.0291742	+	0.999574i	$0.509288\pi$
$410$	−6.44235	+	10.3586i	−0.318165	+	0.511575i
$411$	−3.10438	−	8.52920i	−0.153128	−	0.420715i
$412$	−6.78067	−	5.68965i	−0.334059	−	0.280309i
$413$			1.87595i			0.0923096i
$414$	8.08751	−	9.63832i	0.397479	−	0.473697i
$415$	11.0631	+	8.30000i	0.543065	+	0.407431i
$416$	1.87174	+	0.681256i	0.0917694	+	0.0334013i
$417$	6.00340	−	1.60861i	0.293988	−	0.0787737i
$418$	−0.854944	+	3.19069i	−0.0418167	+	0.156062i
$419$	0.251462	−	0.0443396i	0.0122847	−	0.00216613i	−0.167502	−	0.985872i	$-0.553570\pi$
$419$	0.251462	−	0.0443396i	0.0122847	−	0.00216613i	0.179787	+	0.983706i	$0.442459\pi$
$420$	−0.109017	+	3.32333i	−0.00531948	+	0.162162i
$421$	2.88779	−	0.773782i	0.140742	−	0.0377118i	−0.187760	−	0.982215i	$-0.560123\pi$
$421$	2.88779	−	0.773782i	0.140742	−	0.0377118i	0.328503	+	0.944503i	$0.393456\pi$
$422$	12.5954	+	15.0106i	0.613135	+	0.730706i
$423$	1.38111	−	15.7862i	0.0671519	−	0.767550i
$424$	3.87175	+	8.30300i	0.188029	+	0.403229i
$425$	0.170187	−	0.124752i	0.00825531	−	0.00605135i
$426$	−5.08367	−	7.26023i	−0.246305	−	0.351759i
$427$	1.56806	−	4.30821i	0.0758838	−	0.208489i
$428$	6.89415	+	0.603160i	0.333241	+	0.0291548i
$429$	−4.06682	−	0.355800i	−0.196348	−	0.0171782i
$430$	−1.23256	+	0.967183i	−0.0594391	+	0.0466417i
$431$	21.5338	+	10.0414i	1.03725	+	0.483676i	0.865207	−	0.501414i	$-0.167187\pi$
$431$	21.5338	+	10.0414i	1.03725	+	0.483676i	0.172039	+	0.985090i	$0.444964\pi$
$432$	0.294788	+	0.206413i	0.0141830	+	0.00993104i
$433$	−26.0849	−	6.98944i	−1.25356	−	0.335891i	−0.429850	−	0.902900i	$-0.641434\pi$
$433$	−26.0849	−	6.98944i	−1.25356	−	0.335891i	−0.823711	+	0.567009i	$0.808100\pi$
$434$	−2.20543	+	3.81992i	−0.105864	+	0.183362i
$435$	20.9672	+	18.7988i	1.00530	+	0.901333i
$436$	−3.43618	+	12.8240i	−0.164563	+	0.614159i
$437$	−17.1385	+	1.49942i	−0.819846	+	0.0717272i
$438$	−31.2554			−1.49344
$439$	−31.9141	+	2.79212i	−1.52318	+	0.133261i	−0.817771	−	0.575544i	$-0.804790\pi$
$439$	−31.9141	+	2.79212i	−1.52318	+	0.133261i	−0.705405	+	0.708805i	$0.749235\pi$
$440$	1.89356	+	0.0621154i	0.0902720	+	0.00296123i
$441$	3.27866	−	18.5942i	0.156127	−	0.885439i
$442$	−0.0145972	−	0.0827849i	−0.000694318	−	0.00393767i
$443$	24.4004	+	24.4004i	1.15930	+	1.15930i	0.984627	+	0.174670i	$0.0558859\pi$
$443$	24.4004	+	24.4004i	1.15930	+	1.15930i	0.174670	+	0.984627i	$0.444114\pi$
$444$	−10.0377	−	10.7583i	−0.476367	−	0.510565i
$445$	22.5563	−	9.63095i	1.06927	−	0.456551i
$446$	15.6018	−	22.2816i	0.738765	−	1.05507i
$447$	27.1771	+	38.8130i	1.28543	+	1.83579i
$448$	−0.557153	−	0.259805i	−0.0263230	−	0.0122746i
$449$	−2.67342	−	30.5573i	−0.126166	−	1.44209i	−0.750469	−	0.660906i	$-0.770172\pi$
$449$	−2.67342	−	30.5573i	−0.126166	−	1.44209i	0.624303	−	0.781183i	$-0.285383\pi$
$450$	−10.2968	−	9.85968i	−0.485396	−	0.464790i
$451$	3.54083	+	2.97111i	0.166731	+	0.139904i
$452$	−4.71843	−	8.17257i	−0.221936	−	0.384405i
$453$	−18.4104	+	8.58492i	−0.864997	+	0.403355i
$454$	5.40740	+	3.12197i	0.253782	+	0.146521i
$455$	2.19019	+	1.64318i	0.102678	+	0.0770333i
$456$	1.63760	+	9.28727i	0.0766875	+	0.434916i
$457$	−6.12102	+	2.22787i	−0.286329	+	0.104215i	−0.481192	−	0.876615i	$-0.659796\pi$
$457$	−6.12102	+	2.22787i	−0.286329	+	0.104215i	0.194863	+	0.980830i	$0.437574\pi$
$458$	−5.73564	+	9.93441i	−0.268009	+	0.464205i
$459$	0.00132368	−	0.0151297i	6.17840e−5	−	0.000706194i
$460$	3.06902	+	9.37793i	0.143094	+	0.437248i
$461$	−26.8612	+	12.5256i	−1.25105	+	0.583376i	−0.931344	−	0.364140i	$-0.881363\pi$
$461$	−26.8612	+	12.5256i	−1.25105	+	0.583376i	−0.319709	+	0.947516i	$0.603585\pi$
$462$	1.24080	+	0.218787i	0.0577273	+	0.0101789i
$463$	−18.7515	−	3.30640i	−0.871458	−	0.153662i	−0.280003	−	0.959999i	$-0.590335\pi$
$463$	−18.7515	−	3.30640i	−0.871458	−	0.153662i	−0.591455	+	0.806338i	$0.701446\pi$
$464$	−4.71855	+	2.20029i	−0.219053	+	0.102146i
$465$	−12.0707	−	36.8841i	−0.559764	−	1.71046i
$466$	2.16029	−	24.6922i	0.100074	−	1.14385i
$467$	−13.2920	+	23.0225i	−0.615082	+	1.06535i	0.375288	+	0.926908i	$0.377544\pi$
$467$	−13.2920	+	23.0225i	−0.615082	+	1.06535i	−0.990370	+	0.138445i	$0.955790\pi$
$468$	−5.33675	+	1.94242i	−0.246691	+	0.0897883i
$469$	−0.442679	−	2.51055i	−0.0204410	−	0.115927i
$470$	9.94088	+	7.45808i	0.458538	+	0.344016i
$471$	−38.8661	−	22.4393i	−1.79085	−	1.03395i
$472$	2.76566	−	1.28965i	0.127300	−	0.0593608i
$473$	0.296829	+	0.514123i	0.0136482	+	0.0236394i
$474$	−14.0813	−	11.8156i	−0.646777	−	0.542711i
$475$	0.422639	+	19.4886i	0.0193920	+	0.894200i
$476$	0.00226118	+	0.0258454i	0.000103641	+	0.00118462i
$477$	−23.6737	−	11.0392i	−1.08395	−	0.505452i
$478$	−4.31754	−	6.16609i	−0.197480	−	0.282030i
$479$	−7.78806	+	11.1225i	−0.355846	+	0.508200i	−0.956667	−	0.291183i	$-0.905951\pi$
$479$	−7.78806	+	11.1225i	−0.355846	+	0.508200i	0.600822	+	0.799383i	$0.294840\pi$
$480$	4.97443	−	2.12395i	0.227051	−	0.0969445i
$481$	−11.9976	+	1.68947i	−0.547046	+	0.0770330i
$482$	−18.2663	−	18.2663i	−0.832006	−	0.832006i
$483$	1.13948	+	6.46233i	0.0518483	+	0.294046i
$484$	−1.78547	+	10.1259i	−0.0811577	+	0.460268i
$485$	11.2604	+	0.369380i	0.511308	+	0.0167727i
$486$	−21.6342	+	1.89275i	−0.981347	+	0.0858568i
$487$	−2.47880			−0.112325			−0.0561626	−	0.998422i	$-0.517887\pi$
$487$	−2.47880			−0.112325			−0.0561626	+	0.998422i	$0.517887\pi$
$488$	−7.42945	+	0.649993i	−0.336315	+	0.0294238i
$489$	−11.0527	+	41.2491i	−0.499819	+	1.86535i
$490$	11.0250	+	9.88481i	0.498058	+	0.446550i
$491$	−9.17134	+	15.8852i	−0.413897	+	0.716890i	−0.995312	−	0.0967166i	$-0.969166\pi$
$491$	−9.17134	+	15.8852i	−0.413897	+	0.716890i	0.581415	+	0.813607i	$0.302499\pi$
$492$	12.7465	+	3.41541i	0.574656	+	0.153979i
$493$	0.179986	+	0.126027i	0.00810614	+	0.00567598i
$494$	7.03798	+	3.28186i	0.316654	+	0.147658i
$495$	−4.24970	+	3.33472i	−0.191010	+	0.149885i
$496$	7.14774	+	0.625346i	0.320943	+	0.0280789i
$497$	2.24391	+	0.196317i	0.100653	+	0.00880601i
$498$	5.11713	−	14.0592i	0.229304	−	0.630008i
$499$	12.4895	+	17.8369i	0.559108	+	0.798489i	0.994826	−	0.101594i	$-0.0323943\pi$
$499$	12.4895	+	17.8369i	0.559108	+	0.798489i	−0.435718	+	0.900083i	$0.643505\pi$
$500$	10.8309	−	2.77354i	0.484371	−	0.124037i
$501$	−5.56954	−	11.9439i	−0.248828	−	0.533614i
$502$	−1.67379	+	19.1315i	−0.0747049	+	0.853881i
$503$	8.32122	+	9.91684i	0.371025	+	0.442170i	0.918960	−	0.394351i	$-0.129030\pi$
$503$	8.32122	+	9.91684i	0.371025	+	0.442170i	−0.547935	+	0.836521i	$0.684586\pi$
$504$	1.69307	−	0.453656i	0.0754153	−	0.0202075i
$505$	0.905816	−	27.6134i	0.0403083	−	1.22878i
$506$	3.68209	−	0.649252i	0.163689	−	0.0288628i
$507$	5.65493	−	21.1045i	0.251144	−	0.937283i
$508$	5.46669	−	1.46479i	0.242545	−	0.0649897i
$509$	23.6935	+	8.62375i	1.05020	+	0.382241i	0.808737	−	0.588170i	$-0.200151\pi$
$509$	23.6935	+	8.62375i	1.05020	+	0.382241i	0.241461	+	0.970411i	$0.422374\pi$
$510$	−0.182595	−	0.136991i	−0.00808543	−	0.00606604i
$511$	5.10586	−	6.08492i	0.225870	−	0.269181i
$512$			1.00000i			0.0441942i
$513$	1.07476	+	0.901833i	0.0474520	+	0.0398169i
$514$	−4.21301	−	11.5752i	−0.185828	−	0.510558i
$515$	−10.4530	+	16.8072i	−0.460613	+	0.740615i
$516$	1.38834	+	0.972128i	0.0611184	+	0.0427955i
$517$	3.32976	−	3.32976i	0.146443	−	0.146443i
$518$	3.73420	−	0.196714i	0.164071	−	0.00864310i
$519$			19.0455i			0.836006i
$520$	0.916809	−	4.35855i	0.0402048	−	0.191135i
$521$	−20.8864	−	3.68284i	−0.915052	−	0.161348i	−0.303755	−	0.952750i	$-0.598241\pi$
$521$	−20.8864	−	3.68284i	−0.915052	−	0.161348i	−0.611296	+	0.791402i	$0.709352\pi$
$522$	6.27354	−	13.4537i	0.274585	−	0.588850i
$523$	−13.4595	+	16.0404i	−0.588544	+	0.701399i	−0.975325	−	0.220772i	$-0.929142\pi$
$523$	−13.4595	+	16.0404i	−0.588544	+	0.701399i	0.386782	+	0.922171i	$0.373587\pi$
$524$	−14.5741	−	14.5741i	−0.636673	−	0.636673i
$525$	7.39111	−	0.808459i	0.322575	−	0.0352841i
$526$	21.4582	+	5.74972i	0.935624	+	0.250700i
$527$	−0.127971	−	0.274436i	−0.00557452	−	0.0119546i
$528$	−0.530454	−	1.97968i	−0.0230850	−	0.0861546i
$529$	−1.76355	−	3.05456i	−0.0766761	−	0.132807i
$530$	17.1569	−	11.1935i	0.745246	−	0.486213i
$531$	−3.67708	+	7.88552i	−0.159572	+	0.342202i
$532$	−2.07560	−	1.19835i	−0.0899885	−	0.0519549i
$533$	8.32407	−	6.98473i	0.360556	−	0.302542i
$534$	−17.0545	−	20.3248i	−0.738021	−	0.879539i
$535$	−0.842562	−	15.4517i	−0.0364271	−	0.668036i
$536$	−3.39691	+	2.37854i	−0.146724	+	0.102737i
$537$	6.29505	−	35.7010i	0.271651	−	1.54061i
$538$	22.9867	+	8.36649i	0.991029	+	0.360705i
$539$	4.29810	−	3.60653i	0.185132	−	0.155344i
$540$	0.363806	−	0.717758i	0.0156557	−	0.0308874i
$541$	5.59061	+	20.8644i	0.240359	+	0.897032i	0.975660	+	0.219291i	$0.0703744\pi$
$541$	5.59061	+	20.8644i	0.240359	+	0.897032i	−0.735300	+	0.677741i	$0.762959\pi$
$542$	3.91825	+	10.7653i	0.168303	+	0.462409i
$543$	21.2050	−	30.2839i	0.909993	−	1.29960i
$544$	0.0365486	−	0.0211014i	0.00156701	−	0.000904714i
$545$	29.4732	+	3.55560i	1.26249	+	0.152305i
$546$	1.01305	−	2.78335i	0.0433547	−	0.119116i
$547$	2.61549	−	1.51006i	0.111830	−	0.0645653i	−0.443042	−	0.896501i	$-0.646101\pi$
$547$	2.61549	−	1.51006i	0.111830	−	0.0645653i	0.554872	+	0.831936i	$0.312767\pi$
$548$	−0.327036	−	3.73804i	−0.0139703	−	0.159681i
$549$	15.0359	−	15.0359i	0.641717	−	0.641717i
$550$	−0.460642	−	4.21129i	−0.0196419	−	0.179570i
$551$	−19.0736	+	6.94221i	−0.812561	+	0.295748i
$552$	8.74386	−	6.12252i	0.372163	−	0.260592i
$553$	4.60063	−	0.811214i	0.195638	−	0.0344963i
$554$	−17.2169			−0.731478
$555$	−20.6442	+	25.6182i	−0.876299	+	1.08743i
$556$	2.56939			0.108966
$557$	5.65368	−	0.996896i	0.239554	−	0.0422399i	−0.0525820	−	0.998617i	$-0.516745\pi$
$557$	5.65368	−	0.996896i	0.239554	−	0.0422399i	0.292136	+	0.956377i	$0.405634\pi$
$558$	−16.7579	+	11.7340i	−0.709420	+	0.496741i
$559$	1.31145	−	0.477330i	0.0554686	−	0.0201889i
$560$	−0.399120	+	1.31541i	−0.0168659	+	0.0555861i
$561$	−0.0611614	+	0.0611614i	−0.00258223	+	0.00258223i
$562$	−0.636931	−	7.28016i	−0.0268673	−	0.307095i
$563$	16.0312	−	9.25562i	0.675634	−	0.390078i	−0.122574	−	0.992459i	$-0.539115\pi$
$563$	16.0312	−	9.25562i	0.675634	−	0.390078i	0.798208	+	0.602382i	$0.205781\pi$
$564$	4.59807	−	12.6331i	0.193614	−	0.531949i
$565$	−16.6007	+	13.0265i	−0.698396	+	0.548029i
$566$	15.4556	−	8.92332i	0.649649	−	0.375075i
$567$	3.32303	−	4.74578i	0.139554	−	0.199304i
$568$	−1.25318	−	3.44309i	−0.0525823	−	0.144469i
$569$	3.27832	+	12.2349i	0.137434	+	0.512912i	0.999976	+	0.00692611i	$0.00220467\pi$
$569$	3.27832	+	12.2349i	0.137434	+	0.512912i	−0.862542	+	0.505986i	$0.831129\pi$
$570$	20.0414	−	6.55875i	0.839443	−	0.274716i
$571$	−14.9084	+	12.5097i	−0.623899	+	0.523513i	−0.899026	−	0.437895i	$-0.855724\pi$
$571$	−14.9084	+	12.5097i	−0.623899	+	0.523513i	0.275128	+	0.961408i	$0.411280\pi$
$572$	−1.58589	−	0.577216i	−0.0663093	−	0.0241346i
$573$	−4.53995	+	25.7473i	−0.189659	+	1.07561i
$574$	−2.74718	+	1.92359i	−0.114665	+	0.0802892i
$575$	19.7900	−	9.75604i	0.825298	−	0.406855i
$576$	−1.83273	−	2.18417i	−0.0763639	−	0.0910070i
$577$	6.66588	−	5.59334i	0.277504	−	0.232854i	−0.493404	−	0.869801i	$-0.664247\pi$
$577$	6.66588	−	5.59334i	0.277504	−	0.232854i	0.770908	+	0.636947i	$0.219803\pi$
$578$	14.7209	+	8.49911i	0.612308	+	0.353516i
$579$	4.77581	−	10.2418i	0.198476	−	0.425633i
$580$	6.36118	+	9.75015i	0.264133	+	0.404853i
$581$	1.90117	+	3.29292i	0.0788738	+	0.136613i
$582$	−3.15444	−	11.7725i	−0.130756	−	0.487987i
$583$	−3.28047	−	7.03498i	−0.135863	−	0.291359i
$584$	−12.4809	−	3.34425i	−0.516463	−	0.138386i
$585$	5.98561	+	11.2001i	0.247474	+	0.463066i
$586$	−1.81170	−	1.81170i	−0.0748408	−	0.0748408i
$587$	−15.3549	+	18.2993i	−0.633765	+	0.755291i	−0.983372	−	0.181605i	$-0.941871\pi$
$587$	−15.3549	+	18.2993i	−0.633765	+	0.755291i	0.349607	+	0.936896i	$0.386315\pi$
$588$	6.76965	−	14.5176i	0.279176	−	0.598694i
$589$	27.5479	+	4.85744i	1.13509	+	0.200147i
$590$	−3.72844	−	5.71480i	−0.153498	−	0.235275i
$591$			4.21383i			0.173334i
$592$	−2.85714	−	5.36999i	−0.117428	−	0.220705i
$593$	24.5109	−	24.5109i	1.00654	−	1.00654i	0.00656318	−	0.999978i	$-0.497911\pi$
$593$	24.5109	−	24.5109i	1.00654	−	1.00654i	0.999978	−	0.00656318i	$-0.00208914\pi$
$594$	−0.249769	−	0.174890i	−0.0102481	−	0.00717582i
$595$	0.0564983	−	0.0131696i	0.00231620	−	0.000539900i
$596$	6.69947	+	18.4066i	0.274421	+	0.753966i
$597$	−41.6973	−	34.9882i	−1.70656	−	1.43197i
$598$		−	8.78970i		−	0.359438i
$599$	8.97218	−	10.6926i	0.366594	−	0.436889i	−0.550942	−	0.834544i	$-0.685731\pi$
$599$	8.97218	−	10.6926i	0.366594	−	0.436889i	0.917535	+	0.397655i	$0.130176\pi$
$600$	−6.27300	−	10.3407i	−0.256094	−	0.422157i
$601$	−14.8268	−	5.39652i	−0.604799	−	0.220129i	0.0214271	−	0.999770i	$-0.493179\pi$
$601$	−14.8268	−	5.39652i	−0.604799	−	0.220129i	−0.626226	+	0.779642i	$0.715401\pi$
$602$	−0.416055	+	0.111482i	−0.0169572	+	0.00454366i
$603$	3.06018	−	11.4208i	0.124620	−	0.465089i
$604$	−8.27020	+	1.45826i	−0.336510	+	0.0593357i
$605$	22.9791	+	0.753795i	0.934235	+	0.0306461i
$606$	−28.8693	+	7.73551i	−1.17274	+	0.314234i
$607$	−3.21524	−	3.83177i	−0.130502	−	0.155527i	0.696836	−	0.717230i	$-0.254591\pi$
$607$	−3.21524	−	3.83177i	−0.130502	−	0.155527i	−0.827338	+	0.561704i	$0.810146\pi$
$608$	−0.339789	+	3.88381i	−0.0137803	+	0.157509i
$609$	3.27192	+	7.01666i	0.132585	+	0.284330i
$610$	3.78569	+	16.2408i	0.153278	+	0.657572i
$611$	−6.34966	−	9.06826i	−0.256880	−	0.366862i
$612$	−0.0411551	+	0.113073i	−0.00166360	+	0.00457070i
$613$	30.0996	+	2.63337i	1.21571	+	0.106361i	0.676905	−	0.736070i	$-0.263321\pi$
$613$	30.0996	+	2.63337i	1.21571	+	0.106361i	0.538804	+	0.842431i	$0.318876\pi$
$614$	22.7241	+	1.98810i	0.917070	+	0.0802332i
$615$	3.53410	−	29.2950i	0.142509	−	1.18129i
$616$	0.472066	+	0.220128i	0.0190201	+	0.00886921i
$617$	−13.9102	−	9.74005i	−0.560005	−	0.392120i	0.259025	−	0.965871i	$-0.416599\pi$
$617$	−13.9102	−	9.74005i	−0.560005	−	0.392120i	−0.819030	+	0.573751i	$0.805488\pi$
$618$	20.6817	+	5.54164i	0.831939	+	0.222917i
$619$	−20.7940	+	36.0163i	−0.835783	+	1.44762i	0.0576087	+	0.998339i	$0.481652\pi$
$619$	−20.7940	+	36.0163i	−0.835783	+	1.44762i	−0.893392	+	0.449279i	$0.851681\pi$
$620$	−0.873554	−	16.0201i	−0.0350828	−	0.643382i
$621$	0.411014	−	1.53393i	0.0164934	−	0.0615543i
$622$	16.4956	−	1.44317i	0.661412	−	0.0578660i
$623$	6.74291			0.270149
$624$	−4.79984	+	0.419931i	−0.192147	+	0.0168107i
$625$	−9.56092	−	23.0995i	−0.382437	−	0.923982i
$626$	−0.845173	+	4.79322i	−0.0337799	+	0.191575i
$627$	−1.38751	−	7.86894i	−0.0554117	−	0.314255i
$628$	−13.1190	−	13.1190i	−0.523506	−	0.523506i
$629$	−0.135976	+	0.217739i	−0.00542173	+	0.00868180i
$630$	−1.53904	−	3.60455i	−0.0613170	−	0.143609i
$631$	−22.3062	+	31.8565i	−0.887994	+	1.26819i	0.0745927	+	0.997214i	$0.476234\pi$
$631$	−22.3062	+	31.8565i	−0.887994	+	1.26819i	−0.962587	+	0.270973i	$0.912655\pi$
$632$	−4.35871	−	6.22488i	−0.173380	−	0.247612i
$633$	−42.9580	−	20.0316i	−1.70743	−	0.796186i
$634$	−1.60383	−	18.3319i	−0.0636962	−	0.728051i
$635$	−4.96937	−	11.6386i	−0.197203	−	0.461864i
$636$	−16.9761	−	14.2446i	−0.673144	−	0.564835i
$637$	−6.59513	−	11.4231i	−0.261309	−	0.452600i
$638$	3.99794	−	1.86427i	0.158280	−	0.0738072i
$639$	9.04742	+	5.22353i	0.357911	+	0.206640i
$640$	2.21364	−	0.315883i	0.0875019	−	0.0124864i
$641$	3.54163	+	20.0856i	0.139886	+	0.793334i	0.971332	+	0.237728i	$0.0764026\pi$
$641$	3.54163	+	20.0856i	0.139886	+	0.793334i	−0.831446	+	0.555606i	$0.812486\pi$
$642$	−15.7306	+	5.72548i	−0.620838	+	0.225966i
$643$	−12.0431	+	20.8593i	−0.474934	+	0.822610i	−0.999588	−	0.0287055i	$-0.990862\pi$
$643$	−12.0431	+	20.8593i	−0.474934	+	0.822610i	0.524654	+	0.851316i	$0.324195\pi$
$644$	−0.236434	+	2.70245i	−0.00931681	+	0.106492i
$645$	1.71339	−	3.38037i	0.0674647	−	0.133102i
$646$	0.149118	−	0.0695348i	0.00586696	−	0.00273581i
$647$	12.0349	+	2.12207i	0.473140	+	0.0834273i	0.405133	−	0.914258i	$-0.367225\pi$
$647$	12.0349	+	2.12207i	0.473140	+	0.0834273i	0.0680063	+	0.997685i	$0.478336\pi$
$648$	−9.28101	−	1.63649i	−0.364592	−	0.0642875i
$649$	−2.34329	+	1.09270i	−0.0919823	+	0.0428920i
$650$	−9.93789	−	0.652697i	−0.389796	−	0.0256009i
$651$	0.929914	−	10.6290i	0.0364462	−	0.416582i
$652$	−8.82708	+	15.2890i	−0.345695	+	0.598762i
$653$	35.4790	−	12.9133i	1.38840	−	0.505336i	0.463686	−	0.886000i	$-0.346527\pi$
$653$	35.4790	−	12.9133i	1.38840	−	0.505336i	0.924714	+	0.380664i	$0.124304\pi$
$654$	−5.57665	−	31.6268i	−0.218064	−	1.23670i
$655$	−27.6582	+	36.8656i	−1.08069	+	1.44046i
$656$	4.72448	+	2.72768i	0.184460	+	0.106498i
$657$	33.3895	−	15.5698i	1.30265	−	0.607435i
$658$	1.70832	+	2.95890i	0.0665973	+	0.115350i
$659$	−13.5615	−	11.3795i	−0.528282	−	0.443281i	0.339226	−	0.940705i	$-0.389835\pi$
$659$	−13.5615	−	11.3795i	−0.528282	−	0.443281i	−0.867508	+	0.497424i	$0.834279\pi$
$660$	−4.21475	+	1.79958i	−0.164059	+	0.0700487i
$661$	−3.77878	−	43.1916i	−0.146977	−	1.67996i	−0.609061	−	0.793124i	$-0.708453\pi$
$661$	−3.77878	−	43.1916i	−0.146977	−	1.67996i	0.462083	−	0.886837i	$-0.347102\pi$
$662$	−5.34168	−	2.49086i	−0.207610	−	0.0968102i
$663$	0.116631	+	0.166566i	0.00452958	+	0.00646890i
$664$	3.54767	−	5.06659i	0.137676	−	0.196622i
$665$	−1.99707	+	4.97317i	−0.0774429	+	0.192851i
$666$	16.0822	+	6.49258i	0.623173	+	0.251582i
$667$	16.2455	+	16.2455i	0.629028	+	0.629028i
$668$	−0.946057	−	5.36536i	−0.0366041	−	0.207592i
$669$	−11.4255	+	64.7974i	−0.441736	+	2.50521i
$670$	6.33827	+	6.76820i	0.244869	+	0.261479i
$671$	6.29484	−	0.550727i	0.243010	−	0.0212606i
$672$	1.48704			0.0573638
$673$	−45.3943	+	3.97149i	−1.74982	+	0.153090i	−0.916589	−	0.399831i	$-0.869069\pi$
$673$	−45.3943	+	3.97149i	−1.74982	+	0.153090i	−0.833234	+	0.552921i	$0.813513\pi$
$674$	−7.96903	+	29.7408i	−0.306956	+	1.14557i
$675$	−1.70378	−	0.578609i	−0.0655786	−	0.0222707i
$676$	4.51625	−	7.82237i	0.173702	−	0.300860i
$677$	16.9918	+	4.55293i	0.653047	+	0.174983i	0.570106	−	0.821571i	$-0.306902\pi$
$677$	16.9918	+	4.55293i	0.653047	+	0.174983i	0.0829407	+	0.996554i	$0.473569\pi$
$678$	18.6989	+	13.0931i	0.718127	+	0.502838i
$679$	2.80722	+	1.30903i	0.107731	+	0.0502359i
$680$	−0.0582560	−	0.0742401i	−0.00223402	−	0.00284698i
$681$	−15.0462	−	1.31637i	−0.576571	−	0.0504434i
$682$	−6.05615	−	0.529844i	−0.231902	−	0.0202888i
$683$	11.4035	−	31.3308i	0.436342	−	1.19884i	−0.505512	−	0.862819i	$-0.668697\pi$
$683$	11.4035	−	31.3308i	0.436342	−	1.19884i	0.941855	−	0.336021i	$-0.109081\pi$
$684$	−6.37583	−	9.10562i	−0.243786	−	0.348162i
$685$	−8.17137	+	1.90472i	−0.312212	+	0.0727757i
$686$	3.53908	+	7.58959i	0.135123	+	0.289772i
$687$	2.41842	−	27.6426i	0.0922683	−	1.05463i
$688$	0.450377	+	0.536738i	0.0171705	+	0.0204630i
$689$	−17.6263	+	4.72296i	−0.671510	+	0.179931i
$690$	−16.3151	−	17.4218i	−0.621106	−	0.663236i
$691$	17.9325	−	3.16198i	0.682185	−	0.120288i	0.178192	−	0.983996i	$-0.442975\pi$
$691$	17.9325	−	3.16198i	0.682185	−	0.120288i	0.503992	+	0.863708i	$0.331864\pi$
$692$	−2.03782	+	7.60525i	−0.0774663	+	0.289108i
$693$	−1.43451	+	0.384375i	−0.0544924	+	0.0146012i
$694$	−30.8746	−	11.2374i	−1.17198	−	0.426567i
$695$	−0.811626	−	5.68771i	−0.0307867	−	0.215747i
$696$	8.09512	−	9.64739i	0.306845	−	0.365684i
$697$		−	0.230231i		−	0.00872062i
$698$	17.7306	+	14.8777i	0.671112	+	0.563130i
$699$	20.5065	+	56.3412i	0.775627	+	2.13102i
$700$	3.03792	+	0.467995i	0.114822	+	0.0176886i
$701$	14.4965	+	10.1506i	0.547526	+	0.383382i	0.814360	−	0.580361i	$-0.197088\pi$
$701$	14.4965	+	10.1506i	0.547526	+	0.383382i	−0.266833	+	0.963743i	$0.585977\pi$
$702$	−0.506862	+	0.506862i	−0.0191303	+	0.0191303i
$703$	−9.27190	−	21.8268i	−0.349696	−	0.823214i
$704$		−	0.847282i		−	0.0319331i
$705$	−29.4176	−	6.18791i	−1.10793	−	0.233050i
$706$	−20.1202	−	3.54773i	−0.757234	−	0.133521i
$707$	3.21008	−	6.88405i	0.120728	−	0.258901i
$708$	−4.74475	+	5.65458i	−0.178319	+	0.212512i
$709$	−6.90393	−	6.90393i	−0.259282	−	0.259282i	0.565480	−	0.824762i	$-0.308691\pi$
$709$	−6.90393	−	6.90393i	−0.259282	−	0.259282i	−0.824762	+	0.565480i	$0.808691\pi$
$710$	−7.22591	+	3.86171i	−0.271184	+	0.144927i
$711$	20.9287	+	5.60783i	0.784887	+	0.210310i
$712$	−4.63550	−	9.94087i	−0.173723	−	0.372550i
$713$	−8.19475	−	30.5832i	−0.306896	−	1.14535i
$714$	−0.0313786	−	0.0543493i	−0.00117431	−	0.00203397i
$715$	−0.776796	+	3.69293i	−0.0290505	+	0.138108i
$716$	6.33364	−	13.5825i	0.236699	−	0.507603i
$717$	15.7688	+	9.10413i	0.588897	+	0.340000i
$718$	−8.04860	+	6.75357i	−0.300371	+	0.252041i
$719$	27.4261	+	32.6852i	1.02282	+	1.21895i	0.975484	+	0.220072i	$0.0706291\pi$
$719$	27.4261	+	32.6852i	1.02282	+	1.21895i	0.0473372	+	0.998879i	$0.484926\pi$
$720$	−4.25604	+	4.74696i	−0.158613	+	0.176909i
$721$	−4.45740	+	3.12111i	−0.166002	+	0.116236i
$722$	0.659966	−	3.74285i	0.0245614	−	0.139295i
$723$	58.7184	+	21.3718i	2.18376	+	0.794825i
$724$	11.7079	−	9.82405i	0.435119	−	0.365108i
$725$	19.5740	−	17.1613i	0.726959	−	0.637354i
$726$	−6.43728	−	24.0242i	−0.238910	−	0.891623i
$727$	3.23297	+	8.88252i	0.119904	+	0.329434i	0.985096	−	0.172008i	$-0.0550254\pi$
$727$	3.23297	+	8.88252i	0.119904	+	0.329434i	−0.865191	+	0.501442i	$0.832803\pi$
$728$	0.702343	−	1.00305i	0.0260306	−	0.0371755i
$729$	21.0089	−	12.1295i	0.778108	−	0.449241i
$730$	−3.46047	+	28.6847i	−0.128078	+	1.06167i
$731$	0.0101135	−	0.0277866i	0.000374061	−	0.00102772i
$732$	15.6231	−	9.01999i	0.577446	−	0.333388i
$733$	4.57700	+	52.3154i	0.169055	+	1.93231i	0.327317	+	0.944915i	$0.393856\pi$
$733$	4.57700	+	52.3154i	0.169055	+	1.93231i	−0.158261	+	0.987397i	$0.550589\pi$
$734$	17.5256	−	17.5256i	0.646883	−	0.646883i
$735$	−34.2751	−	10.3997i	−1.26426	−	0.383600i
$736$	4.14669	−	1.50927i	0.152849	−	0.0556324i
$737$	2.87814	−	2.01530i	0.106018	−	0.0742344i
$738$	−15.3182	+	2.70100i	−0.563869	+	0.0994253i
$739$	8.17947			0.300887			0.150443	−	0.988619i	$-0.451930\pi$
$739$	8.17947			0.300887			0.150443	+	0.988619i	$0.451930\pi$
$740$	−10.9847	+	8.02097i	−0.403806	+	0.294857i
$741$	−18.7843			−0.690060
$742$	5.54638	−	0.977977i	0.203614	−	0.0359027i
$743$	2.73886	−	1.91777i	0.100479	−	0.0703561i	−0.522257	−	0.852788i	$-0.674910\pi$
$743$	2.73886	−	1.91777i	0.100479	−	0.0703561i	0.622736	+	0.782432i	$0.286021\pi$
$744$	−16.3092	+	5.93608i	−0.597926	+	0.217627i
$745$	38.6295	−	20.6446i	1.41528	−	0.756359i
$746$	11.9677	−	11.9677i	0.438168	−	0.438168i
$747$	1.53702	+	17.5682i	0.0562366	+	0.642788i
$748$	−0.0309670	+	0.0178788i	−0.00113227	+	0.000653714i
$749$	1.45508	−	3.99780i	0.0531675	−	0.146076i
$750$	−20.9091	+	17.1526i	−0.763492	+	0.626326i
$751$	27.7558	−	16.0248i	1.01282	−	0.584753i	0.100806	−	0.994906i	$-0.467858\pi$
$751$	27.7558	−	16.0248i	1.01282	−	0.584753i	0.912017	+	0.410153i	$0.134525\pi$
$752$	3.18781	−	4.55266i	0.116247	−	0.166018i
$753$	−15.8884	−	43.6530i	−0.579006	−	1.59080i
$754$	−2.68403	−	10.0169i	−0.0977467	−	0.364796i
$755$	5.84048	+	17.8466i	0.212557	+	0.649506i
$756$	0.169472	−	0.142204i	0.00616364	−	0.00517191i
$757$	−7.54571	−	2.74641i	−0.274253	−	0.0998201i	0.201232	−	0.979544i	$-0.435505\pi$
$757$	−7.54571	−	2.74641i	−0.274253	−	0.0998201i	−0.475486	+	0.879724i	$0.657728\pi$
$758$	−4.12937	+	23.4188i	−0.149986	+	0.850611i
$759$	−7.40852	+	5.18750i	−0.268912	+	0.188294i
$760$	8.70470	−	0.474656i	0.315753	−	0.0172176i
$761$	−4.02828	−	4.80072i	−0.146025	−	0.174026i	0.688074	−	0.725641i	$-0.258456\pi$
$761$	−4.02828	−	4.80072i	−0.146025	−	0.174026i	−0.834099	+	0.551614i	$0.814012\pi$
$762$	−10.4872	+	8.79977i	−0.379910	+	0.318782i
$763$	7.06821	+	4.08083i	0.255886	+	0.147736i
$764$	−4.56779	+	9.79565i	−0.165257	+	0.354394i
$765$	0.263303	+	0.0553851i	0.00951975	+	0.00200245i
$766$	15.8252	+	27.4100i	0.571786	+	0.990363i
$767$	1.57318	+	5.87118i	0.0568042	+	0.211996i
$768$	−1.02228	−	2.19230i	−0.0368885	−	0.0791077i
$769$	30.3654	+	8.13640i	1.09501	+	0.293406i	0.760730	−	0.649069i	$-0.224841\pi$
$769$	30.3654	+	8.13640i	1.09501	+	0.293406i	0.334277	+	0.942475i	$0.391508\pi$
$770$	0.338167	−	1.11452i	0.0121867	−	0.0401645i
$771$	21.0693	+	21.0693i	0.758792	+	0.758792i
$772$	3.00291	−	3.57873i	0.108077	−	0.128801i
$773$	−8.25213	+	17.6968i	−0.296809	+	0.636508i	−0.996996	−	0.0774508i	$-0.975322\pi$
$773$	−8.25213	+	17.6968i	−0.296809	+	0.636508i	0.700188	+	0.713959i	$0.253100\pi$
$774$	−1.96740	−	0.346905i	−0.0707166	−	0.0124692i
$775$	−35.1868	+	6.99420i	−1.26395	+	0.251239i
$776$		−	5.03851i		−	0.180872i
$777$	−7.98538	+	4.24867i	−0.286474	+	0.152420i
$778$	−7.35532	+	7.35532i	−0.263701	+	0.263701i
$779$	17.4221	+	12.1991i	0.624212	+	0.437078i
$780$	2.44577	+	10.4925i	0.0875724	+	0.375691i
$781$	1.06180	+	2.91727i	0.0379941	+	0.104388i
$782$	−0.142662	−	0.119708i	−0.00510160	−	0.00428075i
$783$		−	1.87360i		−	0.0669572i
$784$	4.25659	−	5.07281i	0.152021	−	0.181172i
$785$	−24.8968	+	33.1849i	−0.888604	+	1.18442i
$786$	46.8496	+	17.0519i	1.67107	+	0.608220i
$787$	36.2748	−	9.71981i	1.29306	−	0.346474i	0.454237	−	0.890881i	$-0.349912\pi$
$787$	36.2748	−	9.71981i	1.29306	−	0.346474i	0.838821	+	0.544407i	$0.183245\pi$
$788$	−0.450868	+	1.68266i	−0.0160615	+	0.0599424i
$789$	−52.9207	+	9.33134i	−1.88403	+	0.332205i
$790$	−12.4028	+	11.6150i	−0.441273	+	0.413242i
$791$	−5.60364	+	1.50149i	−0.199243	+	0.0533869i
$792$	1.55284	+	1.85061i	0.0551779	+	0.0657584i
$793$	1.29469	−	14.7984i	0.0459760	−	0.525508i
$794$	4.16371	+	8.92910i	0.147764	+	0.316882i
$795$	−26.1700	+	42.0786i	−0.928155	+	1.49237i
$796$	−12.9069	−	18.4330i	−0.457473	−	0.653339i
$797$	−14.9104	+	40.9660i	−0.528153	+	1.45109i	0.333090	+	0.942895i	$0.391909\pi$
$797$	−14.9104	+	40.9660i	−0.528153	+	1.45109i	−0.861243	+	0.508193i	$0.830314\pi$
$798$	5.77537	+	0.505280i	0.204446	+	0.0178867i
$799$	−0.233660	−	0.0204426i	−0.00826631	−	0.000723209i
$800$	−1.39850	−	4.80044i	−0.0494446	−	0.169721i
$801$	28.3437	+	13.2169i	1.00147	+	0.466995i
$802$	−5.18458	−	3.63029i	−0.183074	−	0.128190i
$803$	10.5748	+	2.83352i	0.373178	+	0.0999928i
$804$	5.01548	−	8.68707i	0.176882	−	0.306369i
$805$	6.05696	−	0.330278i	0.213480	−	0.0116408i
$806$	−3.69896	+	13.8047i	−0.130290	+	0.486250i
$807$	−58.9467	+	5.15716i	−2.07502	+	0.181541i
$808$	−12.3557			−0.434674
$809$	0.740266	−	0.0647649i	0.0260264	−	0.00227701i	−0.0741351	−	0.997248i	$-0.523620\pi$
$809$	0.740266	−	0.0647649i	0.0260264	−	0.00227701i	0.100161	+	0.994971i	$0.468064\pi$
$810$	−0.690899	+	21.0618i	−0.0242757	+	0.740036i
$811$	−2.35532	+	13.3577i	−0.0827066	+	0.469052i	0.915121	+	0.403179i	$0.132095\pi$
$811$	−2.35532	+	13.3577i	−0.0827066	+	0.469052i	−0.997828	+	0.0658740i	$0.979016\pi$
$812$	0.555778	+	3.15198i	0.0195040	+	0.110613i
$813$	−19.5952	−	19.5952i	−0.687232	−	0.687232i
$814$	2.42080	+	4.54990i	0.0848490	+	0.159474i
$815$	36.6326	+	14.7105i	1.28318	+	0.515286i
$816$	−0.0585538	+	0.0836235i	−0.00204979	+	0.00292741i
$817$	1.56680	+	2.23762i	0.0548153	+	0.0782844i
$818$	−20.1411	−	9.39195i	−0.704217	−	0.328382i
$819$	0.304289	+	3.47803i	0.0106327	+	0.121532i
$820$	4.54573	−	11.3199i	0.158744	−	0.395309i
$821$	−12.4910	−	10.4812i	−0.435937	−	0.365795i	0.398249	−	0.917277i	$-0.369618\pi$
$821$	−12.4910	−	10.4812i	−0.435937	−	0.365795i	−0.834186	+	0.551482i	$0.814062\pi$
$822$	4.53829	+	7.86056i	0.158291	+	0.274168i
$823$	−13.7370	+	6.40566i	−0.478841	+	0.223287i	−0.647026	−	0.762468i	$-0.723987\pi$
$823$	−13.7370	+	6.40566i	−0.478841	+	0.223287i	0.168184	+	0.985756i	$0.446210\pi$
$824$	7.66565	+	4.42576i	0.267046	+	0.154179i
$825$	5.31500	+	8.76149i	0.185045	+	0.305036i
$826$	−0.325756	−	1.84745i	−0.0113345	−	0.0642811i
$827$	11.4117	−	4.15351i	0.396823	−	0.144432i	−0.135898	−	0.990723i	$-0.543392\pi$
$827$	11.4117	−	4.15351i	0.396823	−	0.144432i	0.532721	+	0.846291i	$0.321170\pi$
$828$	−6.29096	+	10.8963i	−0.218626	+	0.378672i
$829$	−4.37605	+	50.0185i	−0.151987	+	1.73721i	0.411782	+	0.911282i	$0.364906\pi$
$829$	−4.37605	+	50.0185i	−0.151987	+	1.73721i	−0.563769	+	0.825933i	$0.690649\pi$
$830$	−12.3363	−	6.25282i	−0.428199	−	0.217039i
$831$	37.7446	−	17.6006i	1.30935	−	0.610558i
$832$	−1.96160	−	0.345883i	−0.0680062	−	0.0119913i
$833$	−0.275224	−	0.0485294i	−0.00953595	−	0.00168145i
$834$	−5.63286	+	2.62665i	−0.195050	+	0.0909533i
$835$	−11.5781	+	3.78906i	−0.400678	+	0.131126i
$836$	0.287897	−	3.29068i	0.00995713	−	0.113811i
$837$	−1.29104	+	2.23615i	−0.0446249	+	0.0772925i
$838$	−0.239942	+	0.0873319i	−0.00828867	+	0.00301683i
$839$	−8.54343	−	48.4522i	−0.294952	−	1.67276i	−0.667397	−	0.744702i	$-0.732592\pi$
$839$	−8.54343	−	48.4522i	−0.294952	−	1.67276i	0.372445	−	0.928054i	$-0.378520\pi$
$840$	−0.469730	−	3.29177i	−0.0162072	−	0.113577i
$841$	−1.64027	−	0.947010i	−0.0565610	−	0.0326555i
$842$	−2.70956	+	1.26349i	−0.0933775	+	0.0435426i
$843$	8.83873	+	15.3091i	0.304422	+	0.527275i
$844$	−15.0106	−	12.5954i	−0.516687	−	0.433552i
$845$	−18.7425	−	7.52641i	−0.644763	−	0.258916i
$846$	1.38111	+	15.7862i	0.0474836	+	0.542739i
$847$	5.72871	+	2.67134i	0.196841	+	0.0917884i
$848$	−5.25473	−	7.50454i	−0.180448	−	0.257707i
$849$	−24.7612	+	35.3626i	−0.849801	+	1.21364i
$850$	−0.145939	+	0.152409i	−0.00500567	+	0.00522759i
$851$	−17.9555	+	19.9524i	−0.615505	+	0.683960i
$852$	6.26716	+	6.26716i	0.214709	+	0.214709i
$853$	8.22978	+	46.6734i	0.281782	+	1.59807i	0.716558	+	0.697528i	$0.245717\pi$
$853$	8.22978	+	46.6734i	0.281782	+	1.59807i	−0.434776	+	0.900539i	$0.643172\pi$
$854$	−0.796126	+	4.51505i	−0.0272429	+	0.154502i
$855$	−18.1426	+	16.9901i	−0.620464	+	0.581050i
$856$	−6.89415	+	0.603160i	−0.235637	+	0.0206156i
$857$	−13.6746			−0.467114			−0.233557	−	0.972343i	$-0.575037\pi$
$857$	−13.6746			−0.467114			−0.233557	+	0.972343i	$0.575037\pi$
$858$	4.06682	−	0.355800i	0.138839	−	0.0121468i
$859$	13.0323	−	48.6371i	0.444655	−	1.65948i	−0.272190	−	0.962244i	$-0.587748\pi$
$859$	13.0323	−	48.6371i	0.444655	−	1.65948i	0.716845	−	0.697232i	$-0.245585\pi$
$860$	1.04588	−	1.16652i	0.0356642	−	0.0397780i
$861$	4.05616	−	7.02548i	0.138234	−	0.239428i
$862$	−22.9503	−	6.14952i	−0.781691	−	0.209453i
$863$	32.9750	+	23.0894i	1.12248	+	0.785971i	0.979036	−	0.203687i	$-0.0652926\pi$
$863$	32.9750	+	23.0894i	1.12248	+	0.785971i	0.143447	+	0.989658i	$0.454181\pi$
$864$	−0.326153	−	0.152088i	−0.0110959	−	0.00517412i
$865$	17.4790	+	2.10864i	0.594304	+	0.0716959i
$866$	26.9023	+	2.35365i	0.914179	+	0.0799803i
$867$	−40.9611	−	3.58363i	−1.39111	−	0.121706i
$868$	1.50860	−	4.14485i	0.0512053	−	0.140685i
$869$	3.69306	+	5.27423i	0.125278	+	0.178916i
$870$	−23.9130	−	14.8723i	−0.810727	−	0.504217i
$871$	−3.49081	−	7.48607i	−0.118282	−	0.253656i
$872$	1.15711	−	13.2259i	0.0391848	−	0.447884i
$873$	9.23425	+	11.0049i	0.312532	+	0.372461i
$874$	16.6178	−	4.45271i	0.562104	−	0.150615i
$875$	0.0763494	−	6.87270i	0.00258108	−	0.232340i
$876$	30.7806	−	5.42745i	1.03998	−	0.183377i
$877$	2.91945	−	10.8956i	0.0985830	−	0.367917i	−0.898955	−	0.438040i	$-0.855673\pi$
$877$	2.91945	−	10.8956i	0.0985830	−	0.367917i	0.997538	+	0.0701237i	$0.0223394\pi$
$878$	30.9444	−	8.29152i	1.04432	−	0.279825i
$879$	5.82387	+	2.11971i	0.196434	+	0.0714962i
$880$	−1.87558	+	0.267642i	−0.0632258	+	0.00902221i
$881$	26.5492	−	31.6401i	0.894465	−	1.06598i	−0.102990	−	0.994682i	$-0.532841\pi$
$881$	26.5492	−	31.6401i	0.894465	−	1.06598i	0.997455	−	0.0712993i	$-0.0227145\pi$
$882$			18.8811i			0.635758i
$883$	−11.5853	−	9.72120i	−0.389875	−	0.327144i	0.426689	−	0.904398i	$-0.359680\pi$
$883$	−11.5853	−	9.72120i	−0.389875	−	0.327144i	−0.816565	+	0.577254i	$0.804124\pi$
$884$	0.0287509	+	0.0789924i	0.000966997	+	0.00265680i
$885$	14.0160	+	8.71701i	0.471143	+	0.293019i
$886$	−28.2668	−	19.7926i	−0.949641	−	0.664945i
$887$	−0.256843	+	0.256843i	−0.00862395	+	0.00862395i	−0.711406	−	0.702782i	$-0.751941\pi$
$887$	−0.256843	+	0.256843i	−0.00862395	+	0.00862395i	0.702782	+	0.711406i	$0.251941\pi$
$888$	11.7533	+	8.85180i	0.394416	+	0.297047i
$889$		−	3.47920i		−	0.116689i
$890$	−20.5413	+	13.4015i	−0.688545	+	0.449219i
$891$	7.86363	+	1.38657i	0.263442	+	0.0464519i
$892$	−11.4956	+	24.6523i	−0.384900	+	0.825422i
$893$	13.9278	−	16.5985i	0.466075	−	0.555446i
$894$	−33.5041	−	33.5041i	−1.12054	−	1.12054i
$895$	−32.0676	−	9.72994i	−1.07190	−	0.325236i
$896$	0.593803	+	0.159109i	0.0198376	+	0.00531546i
$897$	8.98558	+	19.2696i	0.300020	+	0.643394i
$898$	7.93902	+	29.6288i	0.264929	+	0.988727i
$899$	−18.6778	−	32.3510i	−0.622941	−	1.07897i
$900$	11.8525	+	7.92187i	0.395083	+	0.264062i
$901$	−0.163399	+	0.350409i	−0.00544359	+	0.0116738i
$902$	−4.00296	−	2.31111i	−0.133284	−	0.0769516i
$903$	0.798151	−	0.669728i	0.0265608	−	0.0222872i
$904$	6.06590	+	7.22906i	0.201749	+	0.240435i
$905$	−25.4453	−	22.8138i	−0.845829	−	0.758355i
$906$	16.6400	−	11.6514i	0.552826	−	0.387093i
$907$	3.14562	−	17.8397i	0.104448	−	0.592357i	−0.886991	−	0.461787i	$-0.847208\pi$
$907$	3.14562	−	17.8397i	0.104448	−	0.592357i	0.991439	−	0.130569i	$-0.0416805\pi$
$908$	−5.86738	−	2.13555i	−0.194716	−	0.0708707i
$909$	26.9870	−	22.6448i	0.895103	−	0.751081i
$910$	−2.44225	−	1.23789i	−0.0809599	−	0.0410357i
$911$	11.7845	+	43.9803i	0.390437	+	1.45713i	0.829415	+	0.558634i	$0.188674\pi$
$911$	11.7845	+	43.9803i	0.390437	+	1.45713i	−0.438977	+	0.898498i	$0.644659\pi$
$912$	−3.22544	−	8.86181i	−0.106805	−	0.293444i
$913$	−3.00588	+	4.29284i	−0.0994800	+	0.142072i
$914$	5.64116	−	3.25693i	0.186593	−	0.107730i
$915$	−24.9021	−	31.7347i	−0.823238	−	1.04912i
$916$	3.92341	−	10.7795i	0.129633	−	0.356164i
$917$	−10.9730	+	6.33528i	−0.362361	+	0.209209i
$918$	0.00132368	+	0.0151297i	4.36879e−5	+	0.000499354i
$919$	37.4422	−	37.4422i	1.23511	−	1.23511i	0.273128	−	0.961978i	$-0.411942\pi$
$919$	37.4422	−	37.4422i	1.23511	−	1.23511i	0.961978	−	0.273128i	$-0.0880581\pi$
$920$	−4.65085	−	8.70253i	−0.153334	−	0.286914i
$921$	−51.8504	+	18.8720i	−1.70853	+	0.621853i
$922$	24.2781	−	16.9997i	0.799557	−	0.559856i
$923$	7.18741	−	1.26734i	0.236577	−	0.0417148i
$924$	−1.25994			−0.0414490
$925$	21.2254	+	21.7826i	0.697888	+	0.716207i
$926$	19.0408			0.625720
$927$	−24.8543	+	4.38249i	−0.816323	+	0.143940i
$928$	4.26478	−	2.98623i	0.139998	−	0.0980279i
$929$	−10.2628	+	3.73537i	−0.336713	+	0.122553i	−0.504843	−	0.863211i	$-0.668449\pi$
$929$	−10.2628	+	3.73537i	−0.336713	+	0.122553i	0.168130	+	0.985765i	$0.446227\pi$
$930$	18.2922	+	34.2277i	0.599824	+	1.12237i
$931$	18.2555	−	18.2555i	0.598299	−	0.598299i
$932$	2.16029	+	24.6922i	0.0707627	+	0.808821i
$933$	−34.6878	+	20.0270i	−1.13563	+	0.655655i
$934$	9.09229	−	24.9809i	0.297509	−	0.817398i
$935$	0.0493593	+	0.0629023i	0.00161422	+	0.00205713i
$936$	4.91837	−	2.83962i	0.160762	−	0.0928160i
$937$	3.25879	−	4.65404i	0.106460	−	0.152041i	−0.762387	−	0.647122i	$-0.775973\pi$
$937$	3.25879	−	4.65404i	0.106460	−	0.152041i	0.868847	+	0.495081i	$0.164861\pi$
$938$	0.871907	+	2.39554i	0.0284688	+	0.0782173i
$939$	−3.04716	−	11.3722i	−0.0994403	−	0.371116i
$940$	−11.0849	−	5.61856i	−0.361551	−	0.183257i
$941$	−3.30960	+	2.77708i	−0.107890	+	0.0905304i	−0.695137	−	0.718877i	$-0.744656\pi$
$941$	−3.30960	+	2.77708i	−0.107890	+	0.0905304i	0.587247	+	0.809408i	$0.300212\pi$
$942$	42.1722	+	15.3494i	1.37404	+	0.500111i
$943$	4.18031	−	23.7077i	0.136130	−	0.772030i
$944$	−2.49970	+	1.75031i	−0.0813582	+	0.0569676i
$945$	−0.368322	−	0.330231i	−0.0119815	−	0.0107424i
$946$	−0.381596	−	0.454769i	−0.0124068	−	0.0147858i
$947$	15.8811	−	13.3259i	0.516068	−	0.433032i	−0.347191	−	0.937795i	$-0.612864\pi$
$947$	15.8811	−	13.3259i	0.516068	−	0.433032i	0.863258	+	0.504762i	$0.168420\pi$
$948$	15.9192	+	9.19094i	0.517031	+	0.298508i
$949$	10.8770	−	23.3258i	0.353082	−	0.757188i
$950$	−3.80038	−	19.1192i	−0.123301	−	0.620307i
$951$	22.2565	+	38.5493i	0.721715	+	1.25005i
$952$	−0.00671484	−	0.0250601i	−0.000217629	−	0.000812203i
$953$	−5.00599	−	10.7354i	−0.162160	−	0.347753i	0.808392	−	0.588644i	$-0.200338\pi$
$953$	−5.00599	−	10.7354i	−0.162160	−	0.347753i	−0.970552	+	0.240891i	$0.922560\pi$
$954$	25.2310	+	6.76063i	0.816885	+	0.218884i
$955$	23.1270	+	7.01717i	0.748371	+	0.227070i
$956$	5.32268	+	5.32268i	0.172148	+	0.172148i
$957$	−6.85885	+	8.17406i	−0.221715	+	0.264230i
$958$	5.73834	−	12.3059i	0.185397	−	0.397586i
$959$	−2.27169	−	0.400561i	−0.0733568	−	0.0129348i
$960$	−4.53004	+	2.95548i	−0.146206	+	0.0953878i
$961$			20.4812i			0.660683i
$962$	11.5220	−	3.74717i	0.371484	−	0.120814i
$963$	13.9525	−	13.9525i	0.449614	−	0.449614i
$964$	21.1607	+	14.8169i	0.681540	+	0.477219i
$965$	−8.87061	−	5.51692i	−0.285555	−	0.177596i
$966$	−2.24434	−	6.16628i	−0.0722106	−	0.198397i
$967$	−35.7487	−	29.9967i	−1.14960	−	0.964630i	−0.149891	−	0.988703i	$-0.547892\pi$
$967$	−35.7487	−	29.9967i	−1.14960	−	0.964630i	−0.999710	+	0.0240725i	$0.992337\pi$
$968$		−	10.2821i		−	0.330480i
$969$	−0.255826	+	0.304882i	−0.00821832	+	0.00979421i
$970$	−11.1535	+	1.59158i	−0.358116	+	0.0511025i
$971$	−32.3403	−	11.7709i	−1.03785	−	0.377747i	−0.233786	−	0.972288i	$-0.575111\pi$
$971$	−32.3403	−	11.7709i	−1.03785	−	0.377747i	−0.804065	+	0.594542i	$0.797334\pi$
$972$	20.9769	−	5.62073i	0.672833	−	0.180285i
$973$	0.408813	−	1.52571i	0.0131060	−	0.0489121i
$974$	2.44114	−	0.430439i	0.0782192	−	0.0137922i
$975$	22.4540	−	8.72845i	0.719105	−	0.279534i
$976$	7.20371	−	1.93023i	0.230585	−	0.0617851i
$977$	32.1672	+	38.3353i	1.02912	+	1.22646i	0.973662	+	0.227994i	$0.0732168\pi$
$977$	32.1672	+	38.3353i	1.02912	+	1.22646i	0.0554559	+	0.998461i	$0.482339\pi$
$978$	3.72192	−	42.5417i	0.119014	−	1.36033i
$979$	3.92758	+	8.42272i	0.125526	+	0.269191i
$980$	−12.5740	−	7.82016i	−0.401661	−	0.249806i
$981$	21.7122	+	31.0082i	0.693216	+	0.990015i
$982$	6.27357	−	17.2365i	0.200198	−	0.550038i
$983$	48.6998	+	4.26068i	1.55328	+	0.135895i	0.831224	−	0.555938i	$-0.187641\pi$
$983$	48.6998	+	4.26068i	1.55328	+	0.135895i	0.722058	+	0.691832i	$0.243196\pi$
$984$	−13.1459	−	1.15012i	−0.419076	−	0.0366644i
$985$	3.86724	+	0.466537i	0.123220	+	0.0148651i
$986$	−0.199136	−	0.0928584i	−0.00634177	−	0.00295721i
$987$	−6.76998	−	4.74039i	−0.215491	−	0.150888i
$988$	−7.50095	−	2.00987i	−0.238637	−	0.0639426i
$989$	1.54594	−	2.67765i	0.0491582	−	0.0851444i
$990$	3.60607	−	4.02201i	0.114608	−	0.127828i
$991$	−2.96643	+	11.0709i	−0.0942318	+	0.351678i	−0.996902	−	0.0786555i	$-0.974937\pi$
$991$	−2.96643	+	11.0709i	−0.0942318	+	0.351678i	0.902670	+	0.430333i	$0.141604\pi$
$992$	−7.14774	+	0.625346i	−0.226941	+	0.0198547i
$993$	14.2569			0.452429
$994$	−2.24391	+	0.196317i	−0.0711725	+	0.00622679i
$995$	−36.7269	+	34.3939i	−1.16432	+	1.09036i
$996$	−2.59804	+	14.7342i	−0.0823220	+	0.466871i
$997$	1.34859	+	7.64826i	0.0427104	+	0.242223i	0.998687	−	0.0512187i	$-0.0163105\pi$
$997$	1.34859	+	7.64826i	0.0427104	+	0.242223i	−0.955977	+	0.293441i	$0.905199\pi$
$998$	−15.3971	−	15.3971i	−0.487388	−	0.487388i
$999$	2.18597	−	0.115154i	0.0691611	−	0.00364333i

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Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	370.2.bd.a.57.8	yes	108
5.3	odd	4		370.2.ba.a.353.8	yes	108
37.13	odd	36		370.2.ba.a.87.8	✓	108
185.13	even	36	inner	370.2.bd.a.13.8	yes	108

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
370.2.ba.a.87.8	✓	108	37.13	odd	36
370.2.ba.a.353.8	yes	108	5.3	odd	4
370.2.bd.a.13.8	yes	108	185.13	even	36	inner
370.2.bd.a.57.8	yes	108	1.1	even	1	trivial

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Elliptic curves over $\Q$
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Abelian varieties over $\F_{q}$
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Twists

This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.

Label	370.2.bd.a.57.8

Level	$370$
Weight	$2$
Character	370.57
Analytic conductor	$2.954$
Analytic rank	$0$
Dimension	$108$
Inner twists	$2$