LMFDB - Embedded newform 196.2.p.a.103.19

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

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

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

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

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

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

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

chi := DirichletCharacter("196.3");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$N$	$=$	$196 = 2^{2} \cdot 7^{2}$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	196.p (of order $42$ , degree $12$ , minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$1.56506787962$
Analytic rank:	$0$
Dimension:	$312$
Relative dimension:	$26$ over $\Q(\zeta_{42})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label			103.19
Character	$\chi$	$=$	196.103
Dual form			196.2.p.a.59.19

$q$ -expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.695097 + 1.23160i) q^{2} +(-2.71624 - 1.85190i) q^{3} +(-1.03368 + 1.71216i) q^{4} +(1.96396 + 0.147178i) q^{5} +(0.392753 - 4.63257i) q^{6} +(2.22818 + 1.42661i) q^{7} +(-2.82721 - 0.0829636i) q^{8} +(2.85240 + 7.26780i) q^{9} +(1.18388 + 2.52112i) q^{10} +(4.60391 + 1.80690i) q^{11} +(5.97848 - 2.73637i) q^{12} +(0.963118 - 0.768061i) q^{13} +(-0.208220 + 3.73586i) q^{14} +(-5.06202 - 4.03683i) q^{15} +(-1.86301 - 3.53966i) q^{16} +(-0.724645 - 0.780981i) q^{17} +(-6.96833 + 8.56484i) q^{18} +(-0.263430 + 0.456275i) q^{19} +(-2.28210 + 3.21048i) q^{20} +(-3.41032 - 8.00139i) q^{21} +(0.974780 + 6.92614i) q^{22} +(-1.53746 + 1.65699i) q^{23} +(7.52574 + 5.46106i) q^{24} +(-1.10868 - 0.167107i) q^{25} +(1.61540 + 0.652300i) q^{26} +(3.51684 - 15.4083i) q^{27} +(-4.74582 + 2.34034i) q^{28} +(-0.514512 - 2.25422i) q^{29} +(1.45317 - 9.04038i) q^{30} +(2.23709 + 3.87476i) q^{31} +(3.06448 - 4.75489i) q^{32} +(-9.15911 - 13.4340i) q^{33} +(0.458159 - 1.43533i) q^{34} +(4.16608 + 3.12975i) q^{35} +(-15.3921 - 2.62881i) q^{36} +(0.148440 + 0.0457878i) q^{37} +(-0.745058 - 0.00728597i) q^{38} +(-4.03843 + 0.302639i) q^{39} +(-5.54031 - 0.579041i) q^{40} +(1.00896 + 2.09513i) q^{41} +(7.48402 - 9.76189i) q^{42} +(4.03392 - 8.37653i) q^{43} +(-7.85268 + 6.01488i) q^{44} +(4.53233 + 14.6935i) q^{45} +(-3.10944 - 0.741772i) q^{46} +(-9.44316 + 1.42333i) q^{47} +(-1.49473 + 13.0647i) q^{48} +(2.92955 + 6.35750i) q^{49} +(-0.564831 - 1.48161i) q^{50} +(0.522009 + 3.46330i) q^{51} +(0.319489 + 2.44295i) q^{52} +(-2.10418 + 0.649054i) q^{53} +(21.4214 - 6.37890i) q^{54} +(8.77595 + 4.22627i) q^{55} +(-6.18117 - 4.21819i) q^{56} +(1.56052 - 0.751505i) q^{57} +(2.41867 - 2.20058i) q^{58} +(-0.949824 - 12.6745i) q^{59} +(12.1442 - 4.49422i) q^{60} +(-0.310936 + 1.00803i) q^{61} +(-3.21716 + 5.44853i) q^{62} +(-4.01269 + 20.2632i) q^{63} +(7.98623 + 0.469111i) q^{64} +(2.00457 - 1.36669i) q^{65} +(10.1788 - 20.6183i) q^{66} +(0.898095 - 0.518515i) q^{67} +(2.08622 - 0.433424i) q^{68} +(7.24471 - 1.65356i) q^{69} +(-0.958773 + 7.30643i) q^{70} +(-11.2417 - 2.56583i) q^{71} +(-7.46137 - 20.7842i) q^{72} +(0.954106 - 6.33008i) q^{73} +(0.0467882 + 0.214646i) q^{74} +(2.70198 + 2.50707i) q^{75} +(-0.508914 - 0.922679i) q^{76} +(7.68057 + 10.5941i) q^{77} +(-3.17983 - 4.76337i) q^{78} +(7.88112 + 4.55017i) q^{79} +(-3.13791 - 7.22595i) q^{80} +(-20.9173 + 19.4084i) q^{81} +(-1.87904 + 2.69895i) q^{82} +(-5.49592 + 6.89167i) q^{83} +(17.2249 + 2.43187i) q^{84} +(-1.30823 - 1.64047i) q^{85} +(13.1205 - 0.854314i) q^{86} +(-2.77706 + 7.07583i) q^{87} +(-12.8663 - 5.49044i) q^{88} +(-8.70248 + 3.41547i) q^{89} +(-14.9461 + 15.7954i) q^{90} +(3.24172 - 0.337379i) q^{91} +(-1.24779 - 4.34519i) q^{92} +(1.09919 - 14.6676i) q^{93} +(-8.31688 - 10.6409i) q^{94} +(-0.584520 + 0.857334i) q^{95} +(-17.1294 + 7.24030i) q^{96} -7.11086i q^{97} +(-5.79358 + 8.02711i) q^{98} +38.6142i q^{99} +O(q^{100})$
$\operatorname{Tr}(f)(q)$	$=$	$312 q - 13 q^{2} - 13 q^{4} - 22 q^{5} - 14 q^{6} - 4 q^{8} - 4 q^{9} - 20 q^{10} + 9 q^{12} - 28 q^{13} - 51 q^{14} - 17 q^{16} - 22 q^{17} - 12 q^{18} - 14 q^{20} - 34 q^{21} - 18 q^{22} - 44 q^{24} - 48 q^{25}+ \cdots + 183 q^{98}+O(q^{100})$ 312 * q - 13 * q^2 - 13 * q^4 - 22 * q^5 - 14 * q^6 - 4 * q^8 - 4 * q^9 - 20 * q^10 + 9 * q^12 - 28 * q^13 - 51 * q^14 - 17 * q^16 - 22 * q^17 - 12 * q^18 - 14 * q^20 - 34 * q^21 - 18 * q^22 - 44 * q^24 - 48 * q^25 - 2 * q^26 - 36 * q^28 - 11 * q^30 - 13 * q^32 - 34 * q^33 - 98 * q^34 - 4 * q^36 - 58 * q^37 - 18 * q^38 + 30 * q^40 - 28 * q^41 - 26 * q^42 + 16 * q^44 - 28 * q^45 - 14 * q^46 - 24 * q^49 + 96 * q^50 - 14 * q^52 - 22 * q^53 - 17 * q^54 + 40 * q^56 + 34 * q^57 - 12 * q^58 + 98 * q^60 - 38 * q^61 - 4 * q^64 - 32 * q^65 - 176 * q^66 - 21 * q^68 + 28 * q^69 + 50 * q^70 - 120 * q^72 - 58 * q^73 - 14 * q^74 - 91 * q^76 - 18 * q^77 - 112 * q^78 + 66 * q^80 - 170 * q^81 + 114 * q^82 + 140 * q^84 - 24 * q^85 + 97 * q^86 + 127 * q^88 - 82 * q^89 + 266 * q^90 + 34 * q^92 + 226 * q^94 + 122 * q^96 + 183 * q^98

Character values

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

$n$	$99$	$101$
$\chi(n)$	$-1$	$e\left(\frac{29}{42}\right)$

Coefficient data

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

Display

a_p

with

p

up to: 50 250 1000 (See

a_n

instead) (See

a_n

instead) (See

a_n

instead) Display

a_n

with

n

up to: 50 250 1000 (See only

a_p

) (See only

a_p

) (See only

a_p

)

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

$2$	0.695097	+	1.23160i	0.491508	+	0.870873i
$2$	0.695097	+	1.23160i	0.491508	+	0.870873i
$3$	−2.71624	−	1.85190i	−1.56822	−	1.06920i	−0.961691	−	0.274136i	$-0.911608\pi$
$3$	−2.71624	−	1.85190i	−1.56822	−	1.06920i	−0.606531	−	0.795060i	$-0.707439\pi$
$4$	−1.03368	+	1.71216i	−0.516841	+	0.856082i
$5$	1.96396	+	0.147178i	0.878309	+	0.0658202i	0.506248	−	0.862388i	$-0.331032\pi$
$5$	1.96396	+	0.147178i	0.878309	+	0.0658202i	0.372061	+	0.928208i	$0.378651\pi$
$6$	0.392753	−	4.63257i	0.160341	−	1.89124i
$7$	2.22818	+	1.42661i	0.842172	+	0.539209i
$7$	2.22818	+	1.42661i	0.842172	+	0.539209i
$8$	−2.82721	−	0.0829636i	−0.999570	−	0.0293321i
$9$	2.85240	+	7.26780i	0.950800	+	2.42260i
$10$	1.18388	+	2.52112i	0.374375	+	0.797247i
$11$	4.60391	+	1.80690i	1.38813	+	0.544801i	0.937523	−	0.347922i	$-0.113113\pi$
$11$	4.60391	+	1.80690i	1.38813	+	0.544801i	0.450606	+	0.892723i	$0.351208\pi$
$12$	5.97848	−	2.73637i	1.72584	−	0.789922i
$13$	0.963118	−	0.768061i	0.267121	−	0.213022i	−0.480764	−	0.876850i	$-0.659641\pi$
$13$	0.963118	−	0.768061i	0.267121	−	0.213022i	0.747885	+	0.663828i	$0.231069\pi$
$14$	−0.208220	+	3.73586i	−0.0556492	+	0.998450i
$15$	−5.06202	−	4.03683i	−1.30701	−	1.04231i
$16$	−1.86301	−	3.53966i	−0.465752	−	0.884916i
$17$	−0.724645	−	0.780981i	−0.175752	−	0.189416i	0.639032	−	0.769180i	$-0.279335\pi$
$17$	−0.724645	−	0.780981i	−0.175752	−	0.189416i	−0.814784	+	0.579764i	$0.803145\pi$
$18$	−6.96833	+	8.56484i	−1.64245	+	2.01875i
$19$	−0.263430	+	0.456275i	−0.0604351	+	0.104677i	−0.894660	−	0.446748i	$-0.852582\pi$
$19$	−0.263430	+	0.456275i	−0.0604351	+	0.104677i	0.834225	+	0.551424i	$0.185915\pi$
$20$	−2.28210	+	3.21048i	−0.510293	+	0.717886i
$21$	−3.41032	−	8.00139i	−0.744192	−	1.74605i
$22$	0.974780	+	6.92614i	0.207824	+	1.47666i
$23$	−1.53746	+	1.65699i	−0.320583	+	0.345507i	−0.872697	−	0.488262i	$-0.837631\pi$
$23$	−1.53746	+	1.65699i	−0.320583	+	0.345507i	0.552114	+	0.833769i	$0.313821\pi$
$24$	7.52574	+	5.46106i	1.53619	+	1.11473i
$25$	−1.10868	−	0.167107i	−0.221736	−	0.0334213i
$26$	1.61540	+	0.652300i	0.316807	+	0.127927i
$27$	3.51684	−	15.4083i	0.676816	−	2.96533i
$28$	−4.74582	+	2.34034i	−0.896876	+	0.442283i
$29$	−0.514512	−	2.25422i	−0.0955424	−	0.418599i	0.904425	−	0.426632i	$-0.140300\pi$
$29$	−0.514512	−	2.25422i	−0.0955424	−	0.418599i	−0.999968	+	0.00803334i	$0.997443\pi$
$30$	1.45317	−	9.04038i	0.265311	−	1.65054i
$31$	2.23709	+	3.87476i	0.401794	+	0.695927i	0.993942	−	0.109902i	$-0.0350536\pi$
$31$	2.23709	+	3.87476i	0.401794	+	0.695927i	−0.592149	+	0.805829i	$0.701720\pi$
$32$	3.06448	−	4.75489i	0.541729	−	0.840553i
$33$	−9.15911	−	13.4340i	−1.59440	−	2.33855i
$34$	0.458159	−	1.43533i	0.0785736	−	0.246157i
$35$	4.16608	+	3.12975i	0.704196	+	0.529024i
$36$	−15.3921	−	2.62881i	−2.56535	−	0.438135i
$37$	0.148440	+	0.0457878i	0.0244035	+	0.00752747i	0.306933	−	0.951731i	$-0.400697\pi$
$37$	0.148440	+	0.0457878i	0.0244035	+	0.00752747i	−0.282529	+	0.959259i	$0.591173\pi$
$38$	−0.745058	−	0.00728597i	−0.120864	−	0.00118194i
$39$	−4.03843	+	0.302639i	−0.646667	+	0.0484610i
$40$	−5.54031	−	0.579041i	−0.876001	−	0.0915545i
$41$	1.00896	+	2.09513i	0.157573	+	0.327204i	0.964777	−	0.263069i	$-0.0847346\pi$
$41$	1.00896	+	2.09513i	0.157573	+	0.327204i	−0.807204	+	0.590272i	$0.799020\pi$
$42$	7.48402	−	9.76189i	1.15481	−	1.50629i
$43$	4.03392	−	8.37653i	0.615168	−	1.27741i	−0.327870	−	0.944723i	$-0.606331\pi$
$43$	4.03392	−	8.37653i	0.615168	−	1.27741i	0.943038	−	0.332686i	$-0.107955\pi$
$44$	−7.85268	+	6.01488i	−1.18384	+	0.906777i
$45$	4.53233	+	14.6935i	0.675640	+	2.19037i
$46$	−3.10944	−	0.741772i	−0.458462	−	0.109368i
$47$	−9.44316	+	1.42333i	−1.37743	+	0.207614i	−0.795660	−	0.605743i	$-0.792876\pi$
$47$	−9.44316	+	1.42333i	−1.37743	+	0.207614i	−0.581766	+	0.813356i	$0.697638\pi$
$48$	−1.49473	+	13.0647i	−0.215746	+	1.88572i
$49$	2.92955	+	6.35750i	0.418507	+	0.908214i
$50$	−0.564831	−	1.48161i	−0.0798792	−	0.209531i
$51$	0.522009	+	3.46330i	0.0730959	+	0.484959i
$52$	0.319489	+	2.44295i	0.0443051	+	0.338776i
$53$	−2.10418	+	0.649054i	−0.289031	+	0.0891544i	−0.435881	−	0.900005i	$-0.643563\pi$
$53$	−2.10418	+	0.649054i	−0.289031	+	0.0891544i	0.146849	+	0.989159i	$0.453087\pi$
$54$	21.4214	−	6.37890i	2.91508	−	0.868059i
$55$	8.77595	+	4.22627i	1.18335	+	0.569870i
$56$	−6.18117	−	4.21819i	−0.825993	−	0.563680i
$57$	1.56052	−	0.751505i	0.206695	−	0.0995393i
$58$	2.41867	−	2.20058i	0.317587	−	0.288950i
$59$	−0.949824	−	12.6745i	−0.123657	−	1.65008i	−0.621938	−	0.783067i	$-0.713654\pi$
$59$	−0.949824	−	12.6745i	−0.123657	−	1.65008i	0.498281	−	0.867016i	$-0.333965\pi$
$60$	12.1442	−	4.49422i	1.56781	−	0.580201i
$61$	−0.310936	+	1.00803i	−0.0398113	+	0.129065i	−0.973297	−	0.229550i	$-0.926275\pi$
$61$	−0.310936	+	1.00803i	−0.0398113	+	0.129065i	0.933486	+	0.358615i	$0.116751\pi$
$62$	−3.21716	+	5.44853i	−0.408580	+	0.691965i
$63$	−4.01269	+	20.2632i	−0.505551	+	2.55292i
$64$	7.98623	+	0.469111i	0.998279	+	0.0586389i
$65$	2.00457	−	1.36669i	0.248636	−	0.169517i
$66$	10.1788	−	20.6183i	1.25292	−	2.53793i
$67$	0.898095	−	0.518515i	0.109720	−	0.0633467i	−0.444136	−	0.895959i	$-0.646489\pi$
$67$	0.898095	−	0.518515i	0.109720	−	0.0633467i	0.553856	+	0.832613i	$0.313156\pi$
$68$	2.08622	−	0.433424i	0.252991	−	0.0525604i
$69$	7.24471	−	1.65356i	0.872160	−	0.199065i
$70$	−0.958773	+	7.30643i	−0.114595	+	0.873285i
$71$	−11.2417	−	2.56583i	−1.33414	−	0.304508i	−0.504791	−	0.863242i	$-0.668430\pi$
$71$	−11.2417	−	2.56583i	−1.33414	−	0.304508i	−0.829347	+	0.558733i	$0.811288\pi$
$72$	−7.46137	−	20.7842i	−0.879331	−	2.44944i
$73$	0.954106	−	6.33008i	0.111670	−	0.740880i	−0.860986	−	0.508628i	$-0.830153\pi$
$73$	0.954106	−	6.33008i	0.111670	−	0.740880i	0.972656	−	0.232251i	$-0.0746092\pi$
$74$	0.0467882	+	0.214646i	0.00543901	+	0.0249521i
$75$	2.70198	+	2.50707i	0.311997	+	0.289491i
$76$	−0.508914	−	0.922679i	−0.0583764	−	0.105839i
$77$	7.68057	+	10.5941i	0.875282	+	1.20731i
$78$	−3.17983	−	4.76337i	−0.360045	−	0.539346i
$79$	7.88112	+	4.55017i	0.886696	+	0.511934i	0.872860	−	0.487970i	$-0.162263\pi$
$79$	7.88112	+	4.55017i	0.886696	+	0.511934i	0.0138353	+	0.999904i	$0.495596\pi$
$80$	−3.13791	−	7.22595i	−0.350829	−	0.807885i
$81$	−20.9173	+	19.4084i	−2.32414	+	2.15649i
$82$	−1.87904	+	2.69895i	−0.207505	+	0.298049i
$83$	−5.49592	+	6.89167i	−0.603256	+	0.756459i	−0.985881	−	0.167445i	$-0.946448\pi$
$83$	−5.49592	+	6.89167i	−0.603256	+	0.756459i	0.382626	+	0.923903i	$0.375020\pi$
$84$	17.2249	+	2.43187i	1.87939	+	0.265338i
$85$	−1.30823	−	1.64047i	−0.141897	−	0.177934i
$86$	13.1205	−	0.854314i	1.41482	−	0.0921230i
$87$	−2.77706	+	7.07583i	−0.297732	+	0.758609i
$88$	−12.8663	−	5.49044i	−1.37155	−	0.585283i
$89$	−8.70248	+	3.41547i	−0.922461	+	0.362039i	−0.778573	−	0.627554i	$-0.784056\pi$
$89$	−8.70248	+	3.41547i	−0.922461	+	0.362039i	−0.143889	+	0.989594i	$0.545961\pi$
$90$	−14.9461	+	15.7954i	−1.57545	+	1.66498i
$91$	3.24172	−	0.337379i	0.339825	−	0.0353669i
$92$	−1.24779	−	4.34519i	−0.130091	−	0.453018i
$93$	1.09919	−	14.6676i	0.113980	−	1.52096i
$94$	−8.31688	−	10.6409i	−0.857821	−	1.09752i
$95$	−0.584520	+	0.857334i	−0.0599705	+	0.0879606i
$96$	−17.1294	+	7.24030i	−1.74827	+	0.738960i
$97$		−	7.11086i		−	0.721999i	−0.932566	−	0.360999i	$-0.882436\pi$
$97$		−	7.11086i		−	0.721999i	0.932566	−	0.360999i	$-0.117564\pi$
$98$	−5.79358	+	8.02711i	−0.585240	+	0.810860i
$99$			38.6142i			3.88088i
$100$	1.43214	−	1.72551i	0.143214	−	0.172551i
$101$	1.88397	−	2.76327i	0.187462	−	0.274956i	−0.720990	−	0.692945i	$-0.756313\pi$
$101$	1.88397	−	2.76327i	0.187462	−	0.274956i	0.908452	+	0.417990i	$0.137265\pi$
$102$	−3.90256	+	3.05024i	−0.386411	+	0.302018i
$103$	1.32714	−	17.7094i	0.130767	−	1.74496i	−0.417515	−	0.908670i	$-0.637099\pi$
$103$	1.32714	−	17.7094i	0.130767	−	1.74496i	0.548282	−	0.836293i	$-0.315282\pi$
$104$	−2.78666	+	2.09157i	−0.273254	+	0.205095i
$105$	−5.52009	−	16.2163i	−0.538706	−	1.58255i
$106$	−2.26198	−	2.14036i	−0.219703	−	0.207890i
$107$	−10.0086	+	3.92809i	−0.967570	+	0.379743i	−0.795911	−	0.605413i	$-0.793008\pi$
$107$	−10.0086	+	3.92809i	−0.967570	+	0.379743i	−0.171659	+	0.985156i	$0.554913\pi$
$108$	22.7462	+	21.9487i	2.18875	+	2.11201i
$109$	2.35069	−	5.98947i	0.225156	−	0.573687i	−0.772999	−	0.634407i	$-0.781244\pi$
$109$	2.35069	−	5.98947i	0.225156	−	0.573687i	0.998155	+	0.0607199i	$0.0193396\pi$
$110$	0.895050	+	13.7461i	0.0853396	+	1.31064i
$111$	−0.318405	−	0.399268i	−0.0302217	−	0.0378968i
$112$	0.898622	−	10.5448i	0.0849118	−	0.996388i
$113$	11.5011	−	14.4220i	1.08194	−	1.35670i	0.152254	−	0.988341i	$-0.451347\pi$
$113$	11.5011	−	14.4220i	1.08194	−	1.35670i	0.929682	−	0.368363i	$-0.120082\pi$
$114$	2.01026	+	1.39956i	0.188278	+	0.131081i
$115$	−3.26339	+	3.02798i	−0.304313	+	0.282361i
$116$	4.39144	+	1.44922i	0.407735	+	0.134557i
$117$	8.32931	+	4.80893i	0.770045	+	0.444586i
$118$	14.9497	−	9.97982i	1.37623	−	0.918717i
$119$	−0.500478	−	2.77395i	−0.0458788	−	0.254288i
$120$	13.9765	+	11.8329i	1.27587	+	1.08019i
$121$	9.86749	+	9.15569i	0.897044	+	0.832335i
$122$	−1.45762	+	0.317730i	−0.131967	+	0.0287659i
$123$	1.13939	−	7.55936i	0.102735	−	0.681605i
$124$	−8.94666	−	0.174997i	−0.803433	−	0.0157152i
$125$	−11.7532	−	2.68260i	−1.05124	−	0.239939i
$126$	−27.7454	+	9.14286i	−2.47176	+	0.814511i
$127$	11.8888	−	2.71355i	1.05496	−	0.240789i	0.340344	−	0.940301i	$-0.389456\pi$
$127$	11.8888	−	2.71355i	1.05496	−	0.240789i	0.714621	+	0.699512i	$0.246599\pi$
$128$	4.97345	+	10.1619i	0.439595	+	0.898196i
$129$	−26.4696	+	15.2822i	−2.33052	+	1.34553i
$130$	3.07658	+	1.51884i	0.269834	+	0.133211i
$131$	−10.5985	+	7.22593i	−0.925995	+	0.631332i	−0.929564	−	0.368661i	$-0.879816\pi$
$131$	−10.5985	+	7.22593i	−0.925995	+	0.631332i	0.00356925	+	0.999994i	$0.498864\pi$
$132$	32.4687	−	1.79547i	2.82604	−	0.156276i
$133$	−1.23790	+	0.640848i	−0.107339	+	0.0555686i
$134$	1.26287	+	0.745676i	0.109095	+	0.0644166i
$135$	9.17470	−	29.7436i	0.789632	−	2.55992i
$136$	1.98393	+	2.26812i	0.170121	+	0.194489i
$137$	0.212903	+	2.84099i	0.0181895	+	0.242722i	0.998886	+	0.0471864i	$0.0150255\pi$
$137$	0.212903	+	2.84099i	0.0181895	+	0.242722i	−0.980697	+	0.195536i	$0.937355\pi$
$138$	7.07230	+	7.77321i	0.602034	+	0.661699i
$139$	4.87181	−	2.34614i	0.413222	−	0.198997i	−0.215710	−	0.976457i	$-0.569207\pi$
$139$	4.87181	−	2.34614i	0.413222	−	0.198997i	0.628932	+	0.777460i	$0.283492\pi$
$140$	−9.66504	+	3.89785i	−0.816845	+	0.329428i
$141$	28.2857	+	13.6217i	2.38209	+	1.14715i
$142$	−4.65395	−	15.6287i	−0.390551	−	1.31153i
$143$	5.82191	−	1.79582i	0.486853	−	0.150174i
$144$	20.4115	−	23.6365i	1.70096	−	1.96971i
$145$	−0.678707	−	4.50293i	−0.0563635	−	0.373948i
$146$	8.45933	−	3.22494i	0.700099	−	0.266898i
$147$	3.81610	−	22.6937i	0.314747	−	1.87175i
$148$	−0.231836	+	0.206824i	−0.0190568	+	0.0170009i
$149$	19.5642	−	2.94882i	1.60276	−	0.241577i	0.714065	−	0.700079i	$-0.246852\pi$
$149$	19.5642	−	2.94882i	1.60276	−	0.241577i	0.888693	+	0.458502i	$0.151614\pi$
$150$	−1.20957	+	5.07041i	−0.0987611	+	0.413997i
$151$	1.19308	+	3.86787i	0.0970915	+	0.314763i	0.991069	−	0.133349i	$-0.0425730\pi$
$151$	1.19308	+	3.86787i	0.0970915	+	0.314763i	−0.893978	+	0.448111i	$0.852097\pi$
$152$	0.782627	−	1.26813i	0.0634795	−	0.102859i
$153$	3.60904	−	7.49424i	0.291773	−	0.605873i
$154$	−7.70895	+	16.8233i	−0.621205	+	1.35566i
$155$	3.82328	+	7.93912i	0.307093	+	0.637685i
$156$	3.65629	−	7.22729i	0.292737	−	0.578646i
$157$	−8.56317	+	0.641721i	−0.683415	+	0.0512149i	−0.411913	−	0.911223i	$-0.635139\pi$
$157$	−8.56317	+	0.641721i	−0.683415	+	0.0512149i	−0.271502	+	0.962438i	$0.587520\pi$
$158$	−0.125849	+	12.8692i	−0.0100120	+	1.02382i
$159$	6.91744	+	2.13375i	0.548589	+	0.169217i
$160$	6.71833	−	8.88738i	0.531131	−	0.702609i
$161$	−5.78963	+	1.49871i	−0.456287	+	0.118115i
$162$	−38.4430	−	12.2710i	−3.02036	−	0.964103i
$163$	−1.91619	−	2.81053i	−0.150087	−	0.220138i	0.743831	−	0.668368i	$-0.233007\pi$
$163$	−1.91619	−	2.81053i	−0.150087	−	0.220138i	−0.893918	+	0.448230i	$0.852054\pi$
$164$	−4.63014	−	0.438189i	−0.361553	−	0.0342168i
$165$	−16.0109	−	27.7318i	−1.24645	−	2.15891i
$166$	−12.3080	−	1.97841i	−0.955284	−	0.153554i
$167$	2.23388	+	9.78726i	0.172863	+	0.757361i	0.984811	+	0.173631i	$0.0555500\pi$
$167$	2.23388	+	9.78726i	0.172863	+	0.757361i	−0.811948	+	0.583730i	$0.801593\pi$
$168$	8.97786	+	22.9045i	0.692657	+	1.76712i
$169$	−2.55509	+	11.1946i	−0.196546	+	0.861123i
$170$	1.11106	−	2.75150i	0.0852140	−	0.211030i
$171$	−4.06752	−	0.613080i	−0.311051	−	0.0468834i
$172$	10.1722	+	15.5654i	0.775623	+	1.18685i
$173$	−2.25477	+	2.43007i	−0.171427	+	0.184754i	−0.812922	−	0.582373i	$-0.802124\pi$
$173$	−2.25477	+	2.43007i	−0.171427	+	0.184754i	0.641494	+	0.767128i	$0.278315\pi$
$174$	−10.6449	+	1.49816i	−0.806990	+	0.113575i
$175$	−2.23194	−	1.95400i	−0.168719	−	0.147709i
$176$	−2.18129	−	19.6625i	−0.164421	−	1.48212i
$177$	−20.8920	+	36.1860i	−1.57034	+	2.71991i
$178$	−10.2556	−	8.34390i	−0.768687	−	0.625402i
$179$	−2.37065	−	2.55496i	−0.177191	−	0.190967i	0.638211	−	0.769861i	$-0.279675\pi$
$179$	−2.37065	−	2.55496i	−0.177191	−	0.190967i	−0.815402	+	0.578895i	$0.803484\pi$
$180$	−29.8426	−	7.42826i	−2.22434	−	0.553670i
$181$	−9.55201	−	7.61747i	−0.709995	−	0.566202i	0.200514	−	0.979691i	$-0.435739\pi$
$181$	−9.55201	−	7.61747i	−0.709995	−	0.566202i	−0.910509	+	0.413488i	$0.864310\pi$
$182$	2.66883	+	3.75800i	0.197827	+	0.278561i
$183$	2.71135	−	2.16223i	0.200429	−	0.159837i
$184$	4.48420	−	4.55711i	0.330580	−	0.335955i
$185$	0.284792	+	0.111773i	0.0209383	+	0.00821769i
$186$	18.8287	−	8.84167i	1.38059	−	0.648303i
$187$	−1.92504	−	4.90492i	−0.140773	−	0.358684i
$188$	7.32425	−	17.6395i	0.534176	−	1.28649i
$189$	29.8178	−	29.3152i	2.16893	−	2.13237i
$190$	−1.46219	−	0.123966i	−0.106079	−	0.00899343i
$191$	−18.0766	−	1.35466i	−1.30798	−	0.0980195i	−0.597575	−	0.801813i	$-0.703869\pi$
$191$	−18.0766	−	1.35466i	−1.30798	−	0.0980195i	−0.710404	+	0.703794i	$0.751488\pi$
$192$	−20.8238	−	16.0639i	−1.50283	−	1.15931i
$193$	14.4433	+	9.84726i	1.03965	+	0.708822i	0.957686	−	0.287814i	$-0.0929284\pi$
$193$	14.4433	+	9.84726i	1.03965	+	0.708822i	0.0819638	+	0.996635i	$0.473881\pi$
$194$	8.75774	−	4.94274i	0.628769	−	0.354868i
$195$	−7.97586			−0.571163
$196$	−13.9133	−	1.55576i	−0.993806	−	0.111126i
$197$	−5.26437			−0.375071			−0.187535	−	0.982258i	$-0.560050\pi$
$197$	−5.26437			−0.375071			−0.187535	+	0.982258i	$0.560050\pi$
$198$	−47.5573	+	26.8406i	−3.37975	+	1.90748i
$199$	13.4449	+	9.16660i	0.953086	+	0.649803i	0.936726	−	0.350063i	$-0.113840\pi$
$199$	13.4449	+	9.16660i	0.953086	+	0.649803i	0.0163597	+	0.999866i	$0.494792\pi$
$200$	3.12061	+	0.564426i	0.220660	+	0.0399109i
$201$	−3.39968	−	0.254771i	−0.239795	−	0.0179701i
$202$	4.71278	+	0.399554i	0.331590	+	0.0281125i
$203$	2.06948	−	5.75682i	0.145249	−	0.404049i
$204$	−6.46933	−	2.68619i	−0.452944	−	0.188071i
$205$	1.67320	+	4.26324i	0.116861	+	0.297758i
$206$	22.7335	−	10.6753i	1.58391	−	0.743781i
$207$	−16.4281	−	6.44757i	−1.14183	−	0.448137i
$208$	−4.51297	−	1.97821i	−0.312918	−	0.137164i
$209$	−2.03725	+	1.62465i	−0.140920	+	0.112380i
$210$	16.1350	−	18.0705i	1.11342	−	1.24698i
$211$	−11.0880	−	8.84237i	−0.763328	−	0.608734i	0.162487	−	0.986711i	$-0.448048\pi$
$211$	−11.0880	−	8.84237i	−0.763328	−	0.608734i	−0.925815	+	0.377977i	$0.876620\pi$
$212$	1.06377	−	4.27362i	0.0730597	−	0.293513i
$213$	25.7834	+	27.7878i	1.76665	+	1.90399i
$214$	−11.7948	−	9.59622i	−0.806276	−	0.655984i
$215$	9.15531	−	15.8575i	0.624387	−	1.08147i
$216$	−11.2212	+	43.2707i	−0.763504	+	2.94420i
$217$	−0.543144	+	11.8251i	−0.0368710	+	0.802741i
$218$	9.01059	−	1.26814i	0.610274	−	0.0858896i
$219$	−14.3143	+	15.4271i	−0.967268	+	1.04247i
$220$	−16.3076	+	10.6572i	−1.09946	+	0.718510i
$221$	−1.29776	−	0.195606i	−0.0872967	−	0.0131579i
$222$	0.270416	−	0.669678i	0.0181491	−	0.0449459i
$223$	0.293880	−	1.28757i	0.0196797	−	0.0862222i	−0.964134	−	0.265414i	$-0.914491\pi$
$223$	0.293880	−	1.28757i	0.0196797	−	0.0862222i	0.983814	+	0.179192i	$0.0573484\pi$
$224$	13.6116	−	6.22290i	0.909463	−	0.415785i
$225$	−1.94790	−	8.53432i	−0.129860	−	0.568954i
$226$	25.7565	+	4.14015i	1.71330	+	0.275398i
$227$	−1.81535	−	3.14428i	−0.120489	−	0.208693i	0.799472	−	0.600704i	$-0.205113\pi$
$227$	−1.81535	−	3.14428i	−0.120489	−	0.208693i	−0.919961	+	0.392011i	$0.871780\pi$
$228$	−0.326377	+	3.44868i	−0.0216148	+	0.228394i
$229$	−3.53991	−	5.19209i	−0.233924	−	0.343103i	0.691271	−	0.722595i	$-0.257051\pi$
$229$	−3.53991	−	5.19209i	−0.233924	−	0.343103i	−0.925195	+	0.379492i	$0.876099\pi$
$230$	−5.99764	−	1.91445i	−0.395473	−	0.126235i
$231$	−1.24307	−	42.9997i	−0.0817878	−	2.82918i
$232$	1.26761	+	6.41585i	0.0832229	+	0.421221i
$233$	−18.3353	−	5.65570i	−1.20119	−	0.370517i	−0.371334	−	0.928499i	$-0.621099\pi$
$233$	−18.3353	−	5.65570i	−1.20119	−	0.370517i	−0.829853	+	0.557983i	$0.811576\pi$
$234$	−0.133006	+	13.6011i	−0.00869485	+	0.889129i
$235$	−18.7555	+	1.40553i	−1.22347	+	0.0916865i
$236$	22.6827	+	11.4752i	1.47652	+	0.746969i
$237$	−12.9806	−	26.9544i	−0.843178	−	1.75088i
$238$	3.06852	−	2.54455i	0.198903	−	0.164939i
$239$	−2.16666	+	4.49912i	−0.140150	+	0.291024i	−0.959216	−	0.282676i	$-0.908778\pi$
$239$	−2.16666	+	4.49912i	−0.140150	+	0.291024i	0.819066	+	0.573700i	$0.194492\pi$
$240$	−4.85843	+	25.4385i	−0.313610	+	1.64205i
$241$	3.17073	+	10.2793i	0.204245	+	0.662145i	0.998510	+	0.0545735i	$0.0173799\pi$
$241$	3.17073	+	10.2793i	0.204245	+	0.662145i	−0.794265	+	0.607571i	$0.792144\pi$
$242$	−4.41730	+	18.5169i	−0.283955	+	1.19031i
$243$	45.8748	−	6.91452i	2.94287	−	0.443566i
$244$	−1.40451	−	1.57436i	−0.0899142	−	0.100788i
$245$	4.81782	+	12.9170i	0.307799	+	0.825239i
$246$	10.1021	−	3.85121i	0.644086	−	0.245544i
$247$	0.0967324	+	0.641777i	0.00615493	+	0.0408353i
$248$	−6.00327	−	11.1403i	−0.381208	−	0.707413i
$249$	27.6909	−	8.54152i	1.75484	−	0.541297i
$250$	−4.86575	−	16.3400i	−0.307737	−	1.03343i
$251$	7.86305	+	3.78664i	0.496311	+	0.239011i	0.665257	−	0.746615i	$-0.268322\pi$
$251$	7.86305	+	3.78664i	0.496311	+	0.239011i	−0.168946	+	0.985625i	$0.554036\pi$
$252$	−30.5461	−	27.8161i	−1.92422	−	1.75225i
$253$	−10.0724	+	4.85059i	−0.633244	+	0.304954i
$254$	11.6059	+	12.7561i	0.728220	+	0.800391i
$255$	0.515481	+	6.87861i	0.0322807	+	0.430755i
$256$	−9.05841	+	13.1888i	−0.566151	+	0.824302i
$257$	−2.17267	+	7.04363i	−0.135528	+	0.439370i	−0.997741	−	0.0671752i	$-0.978601\pi$
$257$	−2.17267	+	7.04363i	−0.135528	+	0.439370i	0.862214	+	0.506545i	$0.169078\pi$
$258$	−37.2206	−	21.9774i	−2.31725	−	1.36825i
$259$	0.265430	+	0.313791i	0.0164930	+	0.0194980i
$260$	0.267914	+	4.84487i	0.0166153	+	0.300466i
$261$	14.9156	−	10.1693i	0.923255	−	0.629464i
$262$	−16.2664	−	8.03039i	−1.00494	−	0.496119i
$263$	20.7820	−	11.9985i	1.28148	−	0.739860i	0.304357	−	0.952558i	$-0.401558\pi$
$263$	20.7820	−	11.9985i	1.28148	−	0.739860i	0.977118	+	0.212698i	$0.0682250\pi$
$264$	24.7802	+	38.7405i	1.52512	+	2.38431i
$265$	−4.22805	+	0.965025i	−0.259727	+	0.0592810i
$266$	−1.64973	−	1.07914i	−0.101151	−	0.0661666i
$267$	29.9632	+	6.83889i	1.83372	+	0.418534i
$268$	−0.0405609	+	2.07366i	−0.00247765	+	0.126669i
$269$	−1.02434	+	6.79604i	−0.0624550	+	0.414362i	0.935655	+	0.352915i	$0.114810\pi$
$269$	−1.02434	+	6.79604i	−0.0624550	+	0.414362i	−0.998110	+	0.0614467i	$0.980429\pi$
$270$	43.0096	−	9.37514i	2.61748	−	0.570553i
$271$	14.5506	+	13.5009i	0.883883	+	0.820124i	0.984606	−	0.174791i	$-0.0559249\pi$
$271$	14.5506	+	13.5009i	0.883883	+	0.820124i	−0.100722	+	0.994915i	$0.532115\pi$
$272$	−1.41439	+	4.01997i	−0.0857601	+	0.243746i
$273$	−9.43009	−	5.08695i	−0.570735	−	0.307876i
$274$	−3.35098	+	2.23697i	−0.202440	+	0.135141i
$275$	−4.80231	−	2.77262i	−0.289590	−	0.167195i
$276$	−4.65756	+	14.1134i	−0.280352	+	0.849525i
$277$	−9.86248	+	9.15104i	−0.592579	+	0.549833i	−0.918428	−	0.395589i	$-0.870540\pi$
$277$	−9.86248	+	9.15104i	−0.592579	+	0.549833i	0.325849	+	0.945422i	$0.394350\pi$
$278$	6.27589	+	4.36934i	0.376403	+	0.262055i
$279$	−21.7799	+	27.3111i	−1.30393	+	1.63507i
$280$	−11.5187	−	9.19410i	−0.688376	−	0.549452i
$281$	−5.71210	−	7.16275i	−0.340755	−	0.427294i	0.581697	−	0.813406i	$-0.302389\pi$
$281$	−5.71210	−	7.16275i	−0.340755	−	0.427294i	−0.922452	+	0.386112i	$0.873818\pi$
$282$	2.88483	+	44.3051i	0.171789	+	2.63833i
$283$	2.38440	−	6.07534i	0.141738	−	0.361142i	−0.842323	−	0.538972i	$-0.818813\pi$
$283$	2.38440	−	6.07534i	0.141738	−	0.361142i	0.984061	+	0.177831i	$0.0569080\pi$
$284$	16.0134	−	16.5953i	0.950221	−	0.984749i
$285$	3.17540	−	1.24625i	0.188094	−	0.0738215i
$286$	6.25853	+	5.92200i	0.370075	+	0.350175i
$287$	−0.740795	+	6.10771i	−0.0437278	+	0.360527i
$288$	43.2987	+	8.70918i	2.55140	+	0.513194i
$289$	1.18559	−	15.8206i	0.0697406	−	0.930623i
$290$	5.07404	−	3.96586i	0.297958	−	0.232884i
$291$	−13.1686	+	19.3148i	−0.771958	+	1.13225i
$292$	9.85189	+	8.17687i	0.576538	+	0.478515i
$293$			16.4670i			0.962010i	0.876718	+	0.481005i	$0.159728\pi$
$293$			16.4670i			0.962010i	−0.876718	+	0.481005i	$0.840272\pi$
$294$	30.6022	−	11.0744i	1.78475	−	0.645873i
$295$		−	25.0320i		−	1.45742i
$296$	−0.415874	−	0.141767i	−0.0241722	−	0.00824004i
$297$	44.0324	−	64.5837i	2.55502	−	3.74753i
$298$	17.2308	+	22.0455i	0.998151	+	1.27706i
$299$	−0.208088	+	2.77675i	−0.0120341	+	0.160583i
$300$	−7.08549	+	2.03472i	−0.409081	+	0.117474i
$301$	20.9384	−	12.9095i	1.20687	−	0.744094i
$302$	−3.93437	+	4.15794i	−0.226397	+	0.239263i
$303$	−10.2346	+	4.01679i	−0.587963	+	0.230758i
$304$	2.10583	+	0.0824117i	0.120778	+	0.00472663i
$305$	−0.759027	+	1.93397i	−0.0434618	+	0.110739i
$306$	11.7385	−	0.764330i	0.671048	−	0.0436938i
$307$	9.43588	+	11.8322i	0.538534	+	0.675300i	0.974429	−	0.224698i	$-0.0721394\pi$
$307$	9.43588	+	11.8322i	0.538534	+	0.675300i	−0.435895	+	0.899998i	$0.643568\pi$
$308$	−26.0781	+	2.19948i	−1.48594	+	0.125327i
$309$	−36.4010	+	45.6454i	−2.07078	+	2.59667i
$310$	−7.12027	+	10.2272i	−0.404404	+	0.580866i
$311$	1.64734	−	1.52851i	0.0934123	−	0.0866739i	−0.632085	−	0.774899i	$-0.717800\pi$
$311$	1.64734	−	1.52851i	0.0934123	−	0.0866739i	0.725497	+	0.688225i	$0.241610\pi$
$312$	11.4426	−	0.520580i	0.647810	−	0.0294721i
$313$	−16.3112	−	9.41728i	−0.921964	−	0.532296i	−0.0377029	−	0.999289i	$-0.512004\pi$
$313$	−16.3112	−	9.41728i	−0.921964	−	0.532296i	−0.884261	+	0.466993i	$0.845337\pi$
$314$	−6.74257	−	10.1003i	−0.380505	−	0.569995i
$315$	−10.8631	+	39.2055i	−0.612064	+	2.20898i
$316$	−15.9372	+	8.79035i	−0.896537	+	0.494496i
$317$	−7.72732	−	7.16991i	−0.434010	−	0.402702i	0.432682	−	0.901547i	$-0.357567\pi$
$317$	−7.72732	−	7.16991i	−0.434010	−	0.402702i	−0.866691	+	0.498845i	$0.833758\pi$
$318$	2.18037	+	10.0027i	0.122269	+	0.560923i
$319$	1.70439	−	11.3079i	0.0954276	−	0.633121i
$320$	15.6156	+	2.09672i	0.872938	+	0.117210i
$321$	34.4603	+	7.86533i	1.92338	+	0.439000i
$322$	−5.87016	−	6.08877i	−0.327131	−	0.339314i
$323$	0.547236	−	0.124903i	0.0304490	−	0.00694979i
$324$	−11.6086	−	55.8759i	−0.644920	−	3.10422i
$325$	−1.19614	+	0.690591i	−0.0663498	+	0.0383071i
$326$	2.12952	−	4.31357i	0.117943	−	0.238907i
$327$	−17.4770	+	11.9156i	−0.966478	+	0.658933i
$328$	−2.67872	−	6.00707i	−0.147908	−	0.331685i
$329$	−23.0716	−	10.3003i	−1.27198	−	0.567875i
$330$	23.0253	−	38.9953i	1.26750	−	2.14662i
$331$	−2.46170	+	7.98064i	−0.135307	+	0.438655i	−0.997715	−	0.0675583i	$-0.978479\pi$
$331$	−2.46170	+	7.98064i	−0.135307	+	0.438655i	0.862408	+	0.506214i	$0.168955\pi$
$332$	−6.11863	−	16.5337i	−0.335803	−	0.907405i
$333$	0.0906350	+	1.20944i	0.00496677	+	0.0662769i
$334$	−10.5012	+	9.55434i	−0.574602	+	0.522790i
$335$	1.84014	−	0.886162i	0.100537	−	0.0484162i
$336$	−21.9688	+	26.9780i	−1.19849	+	1.47177i
$337$	−10.5799	−	5.09500i	−0.576323	−	0.277542i	0.122932	−	0.992415i	$-0.460770\pi$
$337$	−10.5799	−	5.09500i	−0.576323	−	0.277542i	−0.699255	+	0.714873i	$0.746485\pi$
$338$	−15.5633	+	4.63447i	−0.846533	+	0.252082i
$339$	−57.9479	+	17.8746i	−3.14730	+	0.970813i
$340$	4.16104	−	0.544181i	0.225664	−	0.0295124i
$341$	3.29806	+	21.8812i	0.178600	+	1.18493i
$342$	−2.07225	−	5.43571i	−0.112054	−	0.293930i
$343$	−2.54214	+	18.3450i	−0.137263	+	0.990535i
$344$	−12.0997	+	23.3475i	−0.652372	+	1.25882i
$345$	14.4717	−	2.18125i	0.779129	−	0.117435i
$346$	−4.56015	−	1.08785i	−0.245155	−	0.0584830i
$347$	−6.00148	−	19.4563i	−0.322176	−	1.04447i	−0.961332	−	0.275393i	$-0.911192\pi$
$347$	−6.00148	−	19.4563i	−0.322176	−	1.04447i	0.639155	−	0.769078i	$-0.279284\pi$
$348$	−9.24439	−	12.0689i	−0.495551	−	0.646963i
$349$	3.68089	−	7.64345i	0.197034	−	0.409145i	−0.778920	−	0.627124i	$-0.784232\pi$
$349$	3.68089	−	7.64345i	0.197034	−	0.409145i	0.975953	+	0.217979i	$0.0699464\pi$
$350$	0.855136	−	4.10708i	0.0457090	−	0.219533i
$351$	−8.44737	−	17.5411i	−0.450887	−	0.936277i
$352$	22.7002	−	16.3538i	1.20992	−	0.871663i
$353$	−21.7781	+	1.63204i	−1.15913	+	0.0868648i	−0.640378	−	0.768060i	$-0.721222\pi$
$353$	−21.7781	+	1.63204i	−1.15913	+	0.0868648i	−0.518752	+	0.854925i	$0.673603\pi$
$354$	−59.0887	−	0.577832i	−3.14053	−	0.0307114i
$355$	−21.7005	−	6.69372i	−1.15174	−	0.355266i
$356$	3.14775	−	18.4306i	0.166830	−	0.976819i
$357$	−3.77767	+	8.46156i	−0.199935	+	0.447833i
$358$	1.49885	−	4.69564i	0.0792169	−	0.248172i
$359$	12.9862	+	19.0473i	0.685386	+	1.00528i	0.998456	+	0.0555464i	$0.0176901\pi$
$359$	12.9862	+	19.0473i	0.685386	+	1.00528i	−0.313070	+	0.949730i	$0.601358\pi$
$360$	−11.5948	−	41.9175i	−0.611102	−	2.20925i
$361$	9.36121	+	16.2141i	0.492695	+	0.853373i
$362$	2.74212	−	17.0591i	0.144122	−	0.896609i
$363$	−9.84703	−	43.1427i	−0.516835	−	2.26440i
$364$	−2.77326	+	5.89910i	−0.145358	+	0.309197i
$365$	2.80548	−	12.2916i	0.146845	−	0.643372i
$366$	4.54766	+	1.83634i	0.237710	+	0.0959872i
$367$	37.2856	+	5.61991i	1.94629	+	0.293357i	0.999587	−	0.0287376i	$-0.00914873\pi$
$367$	37.2856	+	5.61991i	1.94629	+	0.293357i	0.946708	+	0.322094i	$0.104387\pi$
$368$	8.72950	+	2.35512i	0.455057	+	0.122769i
$369$	−12.3490	+	13.3091i	−0.642863	+	0.692842i
$370$	0.0602987	+	0.428443i	0.00313478	+	0.0222737i
$371$	−5.61444	−	1.55565i	−0.291487	−	0.0807651i
$372$	23.9772	+	17.0437i	1.24316	+	0.883672i
$373$	−14.0240	+	24.2903i	−0.726135	+	1.25770i	0.232370	+	0.972627i	$0.425352\pi$
$373$	−14.0240	+	24.2903i	−0.726135	+	1.25770i	−0.958505	+	0.285076i	$0.907981\pi$
$374$	4.70282	−	5.78028i	0.243177	−	0.298891i
$375$	26.9567	+	29.0524i	1.39204	+	1.50026i
$376$	26.8159	−	3.24061i	1.38292	−	0.167122i
$377$	−2.22692	−	1.77591i	−0.114692	−	0.0914638i
$378$	56.8309	+	16.3467i	2.92307	+	0.840785i
$379$	−5.15435	+	4.11046i	−0.264761	+	0.211140i	−0.746868	−	0.664973i	$-0.768443\pi$
$379$	−5.15435	+	4.11046i	−0.264761	+	0.211140i	0.482107	+	0.876113i	$0.339872\pi$
$380$	−0.863688	−	1.88700i	−0.0443063	−	0.0968013i
$381$	−37.3182	−	14.6463i	−1.91187	−	0.750353i
$382$	−10.8966	−	23.2048i	−0.557519	−	1.18726i
$383$	5.44098	+	13.8634i	0.278021	+	0.708386i	0.999867	+	0.0163317i	$0.00519877\pi$
$383$	5.44098	+	13.8634i	0.278021	+	0.708386i	−0.721846	+	0.692054i	$0.756706\pi$
$384$	5.30981	−	36.8126i	0.270965	−	1.87858i
$385$	13.5251	+	21.9368i	0.689303	+	1.11800i
$386$	−2.08842	+	24.6332i	−0.106298	+	1.25379i
$387$	72.3853	+	5.42453i	3.67955	+	0.275744i
$388$	12.1750	+	7.35036i	0.618090	+	0.373158i
$389$	11.8078	+	8.05043i	0.598680	+	0.408173i	0.824391	−	0.566021i	$-0.191518\pi$
$389$	11.8078	+	8.05043i	0.598680	+	0.408173i	−0.225711	+	0.974194i	$0.572470\pi$
$390$	−5.54399	−	9.82307i	−0.280731	−	0.497411i
$391$	2.40820			0.121788
$392$	−7.75500	−	18.2170i	−0.391687	−	0.920099i
$393$	42.1698			2.12718
$394$	−3.65925	−	6.48361i	−0.184350	−	0.326639i
$395$	14.8085	+	10.0963i	0.745097	+	0.507999i
$396$	−66.1139	−	39.9148i	−3.32235	−	2.00579i
$397$	36.7676	+	2.75535i	1.84531	+	0.138287i	0.951008	−	0.309168i	$-0.100050\pi$
$397$	36.7676	+	2.75535i	1.84531	+	0.138287i	0.894307	+	0.447455i	$0.147669\pi$
$398$	−1.94406	+	22.9305i	−0.0974471	+	1.14940i
$399$	4.54921	+	0.551768i	0.227746	+	0.0276229i
$400$	1.47398	+	4.23567i	0.0736989	+	0.211784i
$401$	−2.48236	−	6.32496i	−0.123963	−	0.315853i	0.855398	−	0.517972i	$-0.173313\pi$
$401$	−2.48236	−	6.32496i	−0.123963	−	0.315853i	−0.979361	+	0.202118i	$0.935217\pi$
$402$	−2.04933	−	4.36414i	−0.102211	−	0.217663i
$403$	5.13063	+	2.01363i	0.255575	+	0.100306i
$404$	2.78375	+	6.08200i	0.138497	+	0.302591i
$405$	−43.9372	+	35.0388i	−2.18326	+	1.74109i
$406$	8.52859	−	1.45277i	0.423267	−	0.0720997i
$407$	0.600672	+	0.479020i	0.0297742	+	0.0237441i
$408$	−1.18850	−	9.83479i	−0.0588396	−	0.486895i
$409$	−14.5767	−	15.7099i	−0.720769	−	0.776804i	0.261314	−	0.965254i	$-0.415844\pi$
$409$	−14.5767	−	15.7099i	−0.720769	−	0.776804i	−0.982083	+	0.188449i	$0.939654\pi$
$410$	−4.08758	+	5.02408i	−0.201871	+	0.248121i
$411$	4.68294	−	8.11108i	0.230992	−	0.400090i
$412$	28.9496	+	20.5782i	1.42625	+	1.01381i
$413$	15.9653	−	29.5961i	0.785600	−	1.45633i
$414$	−3.47831	−	24.7146i	−0.170950	−	1.21466i
$415$	−11.8081	+	12.7261i	−0.579635	+	0.624698i
$416$	−0.700587	−	6.93323i	−0.0343491	−	0.339929i
$417$	−17.5778	−	2.64943i	−0.860791	−	0.129743i
$418$	−3.41701	−	1.37979i	−0.167132	−	0.0674877i
$419$	−5.91313	+	25.9071i	−0.288875	+	1.26565i	0.597195	+	0.802096i	$0.296282\pi$
$419$	−5.91313	+	25.9071i	−0.288875	+	1.26565i	−0.886071	+	0.463550i	$0.846575\pi$
$420$	33.4710	+	7.31121i	1.63322	+	0.356751i
$421$	−4.40656	−	19.3064i	−0.214763	−	0.940937i	−0.961281	−	0.275571i	$-0.911133\pi$
$421$	−4.40656	−	19.3064i	−0.214763	−	0.940937i	0.746518	−	0.665365i	$-0.231724\pi$
$422$	3.18305	−	19.8023i	0.154948	−	0.963959i
$423$	−37.2801	−	64.5710i	−1.81262	−	3.13955i
$424$	6.00281	−	1.66044i	0.291522	−	0.0806381i
$425$	0.672892	+	0.986951i	0.0326401	+	0.0478742i
$426$	−16.3016	+	51.0700i	−0.789816	+	2.47435i
$427$	−2.13089	+	1.80249i	−0.103121	+	0.0872284i
$428$	3.62018	−	21.1968i	0.174988	−	1.02459i
$429$	−19.1394	−	5.90372i	−0.924059	−	0.285034i
$430$	25.8939	+	0.253218i	1.24871	+	0.0122113i
$431$	18.4564	−	1.38312i	0.889013	−	0.0666223i	0.377612	−	0.925964i	$-0.376745\pi$
$431$	18.4564	−	1.38312i	0.889013	−	0.0666223i	0.511402	+	0.859342i	$0.329126\pi$
$432$	−61.0920	+	16.2573i	−2.93929	+	0.782180i
$433$	15.0973	+	31.3498i	0.725528	+	1.50657i	0.857034	+	0.515259i	$0.172304\pi$
$433$	15.0973	+	31.3498i	0.725528	+	1.50657i	−0.131506	+	0.991315i	$0.541981\pi$
$434$	−14.9414	+	7.55066i	−0.717208	+	0.362443i
$435$	−6.49544	+	13.4879i	−0.311433	+	0.646697i
$436$	7.82508	+	10.2160i	0.374753	+	0.489256i
$437$	−0.351029	−	1.13801i	−0.0167920	−	0.0544383i
$438$	−28.9498	−	6.90613i	−1.38328	−	0.329988i
$439$	−34.6170	+	5.21767i	−1.65218	+	0.249026i	−0.908004	−	0.418961i	$-0.862395\pi$
$439$	−34.6170	+	5.21767i	−1.65218	+	0.249026i	−0.744174	+	0.667986i	$0.767156\pi$
$440$	−24.4608	−	12.6766i	−1.16612	−	0.604335i
$441$	−37.8487	+	39.4255i	−1.80232	+	1.87740i
$442$	−0.661160	−	1.73429i	−0.0314482	−	0.0824916i
$443$	−1.87199	−	12.4198i	−0.0889410	−	0.590085i	−0.988259	−	0.152789i	$-0.951174\pi$
$443$	−1.87199	−	12.4198i	−0.0889410	−	0.590085i	0.899318	−	0.437296i	$-0.144064\pi$
$444$	1.01274	−	0.132447i	0.0480626	−	0.00628563i
$445$	−17.5940	+	5.42703i	−0.834036	+	0.257266i
$446$	1.79005	−	0.533045i	0.0847613	−	0.0252404i
$447$	−58.6019	−	28.2212i	−2.77177	−	1.33482i
$448$	17.1255	+	12.4385i	0.809104	+	0.587665i
$449$	28.4836	−	13.7170i	1.34422	−	0.647344i	0.383164	−	0.923681i	$-0.374835\pi$
$449$	28.4836	−	13.7170i	1.34422	−	0.647344i	0.961061	+	0.276336i	$0.0891203\pi$
$450$	9.15689	−	8.33121i	0.431660	−	0.392737i
$451$	0.859472	+	11.4689i	0.0404709	+	0.540047i
$452$	12.8043	+	34.5995i	0.602262	+	1.62743i
$453$	3.92222	−	12.7155i	0.184282	−	0.597428i
$454$	2.61065	−	4.42137i	0.122524	−	0.207505i
$455$	6.41627	−	0.185486i	0.300799	−	0.00869572i
$456$	−4.47426	+	1.99520i	−0.209526	+	0.0934337i
$457$	−23.2631	+	15.8605i	−1.08820	+	0.741923i	−0.968031	−	0.250831i	$-0.919296\pi$
$457$	−23.2631	+	15.8605i	−1.08820	+	0.741923i	−0.120170	+	0.992753i	$0.538344\pi$
$458$	3.93401	−	7.96876i	0.183824	−	0.372356i
$459$	−14.5820	+	8.41894i	−0.680631	+	0.392963i
$460$	−1.81110	−	8.71743i	−0.0844429	−	0.406452i
$461$	21.2703	−	4.85482i	0.990659	−	0.226111i	0.303668	−	0.952778i	$-0.401789\pi$
$461$	21.2703	−	4.85482i	0.990659	−	0.226111i	0.686991	+	0.726666i	$0.258931\pi$
$462$	52.0945	−	31.4199i	2.42365	−	1.46179i
$463$	−2.42360	−	0.553172i	−0.112634	−	0.0257081i	0.165832	−	0.986154i	$-0.446969\pi$
$463$	−2.42360	−	0.553172i	−0.112634	−	0.0257081i	−0.278467	+	0.960446i	$0.589826\pi$
$464$	−7.02065	+	6.02083i	−0.325925	+	0.279510i
$465$	4.31752	−	28.6449i	0.200220	−	1.32837i
$466$	−5.77926	−	26.5130i	−0.267719	−	1.22819i
$467$	−11.7602	−	10.9118i	−0.544196	−	0.504940i	0.359482	−	0.933152i	$-0.382953\pi$
$467$	−11.7602	−	10.9118i	−0.544196	−	0.504940i	−0.903678	+	0.428212i	$0.859144\pi$
$468$	−16.8435	+	9.29024i	−0.778592	+	0.429441i
$469$	2.74083	+	0.125890i	0.126560	+	0.00581308i
$470$	−14.7679	−	22.1223i	−0.681193	−	1.02042i
$471$	24.4480	+	14.1151i	1.12651	+	0.650388i
$472$	1.63383	+	35.9123i	0.0752031	+	1.65300i
$473$	33.7074	−	31.2759i	1.54987	−	1.43807i
$474$	24.1743	−	34.7228i	1.11036	−	1.59487i
$475$	0.368307	−	0.461842i	0.0168991	−	0.0211908i
$476$	5.26679	+	2.01048i	0.241403	+	0.0921503i
$477$	−10.7192	−	13.4414i	−0.490796	−	0.615439i
$478$	−7.04716	+	0.458861i	−0.322330	+	0.0209878i
$479$	3.20767	−	8.17300i	0.146562	−	0.373434i	−0.838674	−	0.544633i	$-0.816669\pi$
$479$	3.20767	−	8.17300i	0.146562	−	0.373434i	0.985236	+	0.171199i	$0.0547642\pi$
$480$	−34.7072	+	11.6986i	−1.58416	+	0.533964i
$481$	0.178134	−	0.0699123i	0.00812219	−	0.00318772i
$482$	−10.4560	+	11.0501i	−0.476256	+	0.503320i
$483$	18.5015	+	6.65098i	0.841847	+	0.302630i
$484$	−25.8759	+	7.43068i	−1.17618	+	0.337758i
$485$	1.04657	−	13.9654i	0.0475221	−	0.634138i
$486$	40.4034	+	51.6932i	1.83273	+	2.34485i
$487$	15.4038	−	22.5932i	0.698012	−	1.02380i	−0.299555	−	0.954079i	$-0.596838\pi$
$487$	15.4038	−	22.5932i	0.698012	−	1.02380i	0.997567	−	0.0697166i	$-0.0222095\pi$
$488$	0.962713	−	2.82412i	0.0435800	−	0.127842i
$489$			11.1827i			0.505698i
$490$	−12.5598	+	14.9122i	−0.567393	+	0.673665i
$491$		−	40.7964i		−	1.84111i	−0.390607	−	0.920557i	$-0.627735\pi$
$491$		−	40.7964i		−	1.84111i	0.390607	−	0.920557i	$-0.372265\pi$
$492$	11.7651	+	9.76479i	0.530411	+	0.440231i
$493$	−1.38767	+	2.03533i	−0.0624974	+	0.0916668i
$494$	−0.723175	+	0.565233i	−0.0325372	+	0.0254310i
$495$	−5.68318	+	75.8368i	−0.255440	+	3.40861i
$496$	9.54761	−	15.1372i	0.428700	−	0.679682i
$497$	−21.3879	−	21.7546i	−0.959380	−	0.975828i
$498$	29.7676	+	28.1670i	1.33392	+	1.26219i
$499$	−10.2577	+	4.02584i	−0.459197	+	0.180222i	−0.583652	−	0.812004i	$-0.698377\pi$
$499$	−10.2577	+	4.02584i	−0.459197	+	0.180222i	0.124455	+	0.992225i	$0.460282\pi$
$500$	16.7422	−	17.3505i	0.748732	−	0.775939i
$501$	12.0573	−	30.7215i	0.538680	−	1.37253i
$502$	0.801944	+	12.3162i	0.0357925	+	0.549700i
$503$	10.7541	+	13.4852i	0.479500	+	0.601274i	0.961469	−	0.274915i	$-0.0886496\pi$
$503$	10.7541	+	13.4852i	0.479500	+	0.601274i	−0.481969	+	0.876188i	$0.660078\pi$
$504$	13.0258	−	56.9554i	0.580216	−	2.53700i
$505$	4.10673	−	5.14967i	0.182747	−	0.229157i
$506$	−12.9753	−	9.03350i	−0.576821	−	0.401588i
$507$	27.6715	−	25.6754i	1.22894	−	1.14029i
$508$	−7.64324	+	23.1606i	−0.339114	+	1.02759i
$509$	1.92974	+	1.11413i	0.0855341	+	0.0493832i	0.542157	−	0.840277i	$-0.317608\pi$
$509$	1.92974	+	1.11413i	0.0855341	+	0.0493832i	−0.456623	+	0.889660i	$0.650941\pi$
$510$	−8.11340	+	5.41617i	−0.359267	+	0.239832i
$511$	11.1565	−	12.7434i	0.493534	−	0.563735i
$512$	−22.5398	−	1.98884i	−0.996130	−	0.0878952i
$513$	6.10397	+	5.66366i	0.269497	+	0.250057i
$514$	−10.1852	+	2.22014i	−0.449248	+	0.0979262i
$515$	5.21289	−	34.5853i	0.229708	−	1.52401i
$516$	1.19545	−	61.1173i	0.0526269	−	2.69054i
$517$	−46.0472	−	10.5100i	−2.02515	−	0.462228i
$518$	−0.201965	+	0.545019i	−0.00887384	+	0.0239468i
$519$	10.6247	−	2.42503i	0.466374	−	0.106447i
$520$	−5.78072	+	3.69761i	−0.253501	+	0.162151i
$521$	−0.728955	+	0.420862i	−0.0319361	+	0.0184383i	−0.515883	−	0.856659i	$-0.672536\pi$
$521$	−0.728955	+	0.420862i	−0.0319361	+	0.0184383i	0.483947	+	0.875097i	$0.339203\pi$
$522$	22.8923	+	11.3015i	1.00197	+	0.494651i
$523$	−1.73171	+	1.18066i	−0.0757222	+	0.0516265i	−0.600589	−	0.799558i	$-0.705067\pi$
$523$	−1.73171	+	1.18066i	−0.0757222	+	0.0516265i	0.524867	+	0.851184i	$0.324115\pi$
$524$	−1.41651	−	25.6157i	−0.0618805	−	1.11903i
$525$	2.44386	+	9.44087i	0.106659	+	0.412033i
$526$	29.2229	+	17.2550i	1.27418	+	0.752356i
$527$	1.40502	−	4.55495i	0.0612034	−	0.198417i
$528$	−30.4882	+	57.4477i	−1.32683	+	2.50009i
$529$	1.33696	+	17.8406i	0.0581289	+	0.775676i
$530$	−4.12743	−	4.53649i	−0.179284	−	0.197052i
$531$	89.4066	−	43.0559i	3.87991	−	1.86847i
$532$	0.182355	−	2.78192i	0.00790611	−	0.120611i
$533$	2.58093	+	1.24291i	0.111793	+	0.0538365i
$534$	12.4045	+	41.6563i	0.536795	+	1.80265i
$535$	−20.2347	+	6.24156i	−0.874820	+	0.269846i
$536$	−2.58212	+	1.39144i	−0.111531	+	0.0601011i
$537$	1.70774	+	11.3301i	0.0736943	+	0.488930i
$538$	−9.08202	+	3.46233i	−0.391554	+	0.149272i
$539$	2.00000	+	34.5627i	0.0861460	+	1.48872i
$540$	41.4422	+	46.4540i	1.78339	+	1.99906i
$541$	6.91274	−	1.04193i	0.297202	−	0.0447960i	0.00125127	−	0.999999i	$-0.499602\pi$
$541$	6.91274	−	1.04193i	0.297202	−	0.0447960i	0.295951	+	0.955203i	$0.404364\pi$
$542$	−6.51373	+	27.3049i	−0.279789	+	1.17285i
$543$	11.8387	+	38.3803i	0.508049	+	1.64706i
$544$	−5.93414	+	1.05230i	−0.254424	+	0.0451171i
$545$	5.49819	−	11.4171i	0.235516	−	0.489055i
$546$	−0.289733	−	15.1500i	−0.0123994	−	0.648362i
$547$	−10.6051	−	22.0217i	−0.453441	−	0.941580i	−0.994901	−	0.100854i	$-0.967843\pi$
$547$	−10.6051	−	22.0217i	−0.453441	−	0.941580i	0.541460	−	0.840726i	$-0.317872\pi$
$548$	−5.08431	−	2.57215i	−0.217191	−	0.109877i
$549$	−8.21308	+	0.615485i	−0.350526	+	0.0262683i
$550$	0.0766852	−	7.84177i	0.00326987	−	0.334374i
$551$	1.16408	+	0.359072i	0.0495916	+	0.0152970i
$552$	−20.6195	+	4.07391i	−0.877624	+	0.173397i
$553$	11.0692	+	21.3819i	0.470710	+	0.909251i
$554$	−18.1258	−	5.78578i	−0.770092	−	0.245814i
$555$	−0.566572	−	0.831008i	−0.0240496	−	0.0352743i
$556$	−1.01892	+	10.7665i	−0.0432120	+	0.456602i
$557$	7.53323	+	13.0479i	0.319193	+	0.552859i	0.980320	−	0.197415i	$-0.0632548\pi$
$557$	7.53323	+	13.0479i	0.319193	+	0.552859i	−0.661127	+	0.750274i	$0.729921\pi$
$558$	−48.7755	−	7.84025i	−2.06483	−	0.331904i
$559$	−2.54854	−	11.1659i	−0.107792	−	0.472267i
$560$	3.31682	−	20.5773i	0.140161	−	0.869548i
$561$	−3.85456	+	16.8879i	−0.162740	+	0.713009i
$562$	4.85118	−	12.0138i	0.204635	−	0.506773i
$563$	−12.1382	−	1.82954i	−0.511564	−	0.0771059i	−0.111812	−	0.993729i	$-0.535666\pi$
$563$	−12.1382	−	1.82954i	−0.511564	−	0.0771059i	−0.399752	+	0.916623i	$0.630904\pi$
$564$	−52.5610	+	34.3493i	−2.21322	+	1.44637i
$565$	24.7104	−	26.6314i	1.03957	−	1.12039i
$566$	9.13978	−	1.28633i	0.384174	−	0.0540683i
$567$	−74.2957	+	13.4045i	−3.12013	+	0.562935i
$568$	31.5696	+	8.18680i	1.32463	+	0.343510i
$569$	15.0982	−	26.1509i	0.632950	−	1.09630i	−0.353996	−	0.935247i	$-0.615177\pi$
$569$	15.0982	−	26.1509i	0.632950	−	1.09630i	0.986946	−	0.161054i	$-0.0514893\pi$
$570$	3.74209	+	3.04456i	0.156739	+	0.127522i
$571$	−18.4461	−	19.8801i	−0.771944	−	0.831958i	0.217623	−	0.976033i	$-0.430170\pi$
$571$	−18.4461	−	19.8801i	−0.771944	−	0.831958i	−0.989567	+	0.144075i	$0.953979\pi$
$572$	−2.94326	+	11.8244i	−0.123064	+	0.494402i
$573$	46.5918	+	37.1557i	1.94640	+	1.55220i
$574$	−8.03718	+	3.33308i	−0.335466	+	0.139120i
$575$	1.98145	−	1.58015i	0.0826322	−	0.0658970i
$576$	19.3705	+	59.3804i	0.807105	+	2.47418i
$577$	25.1296	+	9.86263i	1.04616	+	0.410587i	0.825285	−	0.564716i	$-0.191014\pi$
$577$	25.1296	+	9.86263i	1.04616	+	0.410587i	0.220873	+	0.975303i	$0.429109\pi$
$578$	20.3088	−	9.53667i	0.844733	−	0.396673i
$579$	−20.9953	−	53.4951i	−0.872533	−	2.22318i
$580$	8.41131	+	3.49253i	0.349261	+	0.145020i
$581$	−22.0776	+	7.51530i	−0.915935	+	0.311787i
$582$	−32.9416	−	2.79282i	−1.36547	−	0.115766i
$583$	−10.8602	−	0.813861i	−0.449784	−	0.0337067i
$584$	−3.22262	+	17.8173i	−0.133353	+	0.737286i
$585$	15.6506	+	10.6704i	0.647075	+	0.441168i
$586$	−20.2807	+	11.4461i	−0.837789	+	0.472835i
$587$	−4.51677			−0.186427			−0.0932136	−	0.995646i	$-0.529714\pi$
$587$	−4.51677			−0.186427			−0.0932136	+	0.995646i	$0.529714\pi$
$588$	34.9107	+	29.9919i	1.43969	+	1.23684i
$589$	−2.35727			−0.0971297
$590$	30.8295	−	17.3997i	1.26923	−	0.716334i
$591$	14.2993	+	9.74910i	0.588195	+	0.401024i
$592$	−0.114472	−	0.610732i	−0.00470478	−	0.0251009i
$593$	−23.3135	−	1.74710i	−0.957369	−	0.0717449i	−0.413127	−	0.910673i	$-0.635564\pi$
$593$	−23.3135	−	1.74710i	−0.957369	−	0.0717449i	−0.544242	+	0.838928i	$0.683183\pi$
$594$	110.148	+	9.33845i	4.51943	+	0.383161i
$595$	−0.574653	−	5.52159i	−0.0235585	−	0.226363i
$596$	−15.1742	+	36.5452i	−0.621561	+	1.49695i
$597$	−19.5440	−	49.7974i	−0.799884	−	2.03807i
$598$	−3.56448	+	1.67382i	−0.145763	+	0.0684478i
$599$	37.6231	+	14.7660i	1.53724	+	0.603322i	0.974713	−	0.223458i	$-0.0717347\pi$
$599$	37.6231	+	14.7660i	1.53724	+	0.603322i	0.562525	+	0.826780i	$0.309830\pi$
$600$	−7.43106	−	7.31217i	−0.303372	−	0.298518i
$601$	18.8492	−	15.0317i	0.768873	−	0.613156i	−0.158472	−	0.987363i	$-0.550657\pi$
$601$	18.8492	−	15.0317i	0.768873	−	0.613156i	0.927345	+	0.374208i	$0.122085\pi$
$602$	30.4536	+	16.8143i	1.24120	+	0.685301i
$603$	6.33019	+	5.04816i	0.257785	+	0.205577i
$604$	−7.85569	−	1.95540i	−0.319644	−	0.0795640i
$605$	18.0318	+	19.4337i	0.733098	+	0.790091i
$606$	−12.0611	−	9.81290i	−0.489950	−	0.398622i
$607$	−8.04470	+	13.9338i	−0.326524	+	0.565557i	−0.981820	−	0.189816i	$-0.939211\pi$
$607$	−8.04470	+	13.9338i	−0.326524	+	0.565557i	0.655295	+	0.755373i	$0.272544\pi$
$608$	1.36226	+	2.65083i	0.0552469	+	0.107505i
$609$	−16.2823	+	11.8044i	−0.659791	+	0.478339i
$610$	−2.90948	+	0.409477i	−0.117801	+	0.0165793i
$611$	−8.00167	+	8.62375i	−0.323713	+	0.348880i
$612$	9.10077	+	13.9259i	0.367877	+	0.562922i
$613$	−1.26958	−	0.191359i	−0.0512779	−	0.00772891i	0.123353	−	0.992363i	$-0.460635\pi$
$613$	−1.26958	−	0.191359i	−0.0512779	−	0.00772891i	−0.174631	+	0.984634i	$0.555873\pi$
$614$	−8.01372	+	19.8458i	−0.323407	+	0.800910i
$615$	3.35029	−	14.6786i	0.135097	−	0.591898i
$616$	−20.8357	−	30.5889i	−0.839493	−	1.23246i
$617$	6.30244	+	27.6128i	0.253727	+	1.11165i	0.927827	+	0.373010i	$0.121674\pi$
$617$	6.30244	+	27.6128i	0.253727	+	1.11165i	−0.674101	+	0.738639i	$0.735469\pi$
$618$	−81.5191	−	13.1035i	−3.27918	−	0.527101i
$619$	20.3893	+	35.3152i	0.819513	+	1.41944i	0.906041	+	0.423189i	$0.139089\pi$
$619$	20.3893	+	35.3152i	0.819513	+	1.41944i	−0.0865280	+	0.996249i	$0.527577\pi$
$620$	−17.5451	−	1.66044i	−0.704629	−	0.0666849i
$621$	20.1244	+	29.5171i	0.807564	+	1.18448i
$622$	3.02758	+	0.966406i	0.121395	+	0.0387494i
$623$	−24.2632	−	4.80480i	−0.972086	−	0.192500i
$624$	8.59486	+	13.7309i	0.344070	+	0.549675i
$625$	−17.3311	−	5.34594i	−0.693245	−	0.213838i
$626$	0.260464	−	26.6348i	0.0104102	−	1.06454i
$627$	8.54236	−	0.640162i	0.341149	−	0.0255656i
$628$	7.75285	−	15.3249i	0.309373	−	0.611529i
$629$	−0.0718072	−	0.149109i	−0.00286314	−	0.00594537i
$630$	−55.8364	+	13.8727i	−2.22458	+	0.552701i
$631$	−12.6347	+	26.2362i	−0.502980	+	1.04445i	0.482695	+	0.875789i	$0.339658\pi$
$631$	−12.6347	+	26.2362i	−0.502980	+	1.04445i	−0.985674	+	0.168660i	$0.946056\pi$
$632$	−21.9041	−	13.5181i	−0.871298	−	0.537722i
$633$	13.7424	+	44.5518i	0.546212	+	1.77078i
$634$	3.45923	−	14.5008i	0.137383	−	0.575899i
$635$	23.7486	−	3.57952i	0.942434	−	0.142049i
$636$	−10.8038	+	9.63818i	−0.428397	+	0.382179i
$637$	7.70444	+	3.87295i	0.305261	+	0.153452i
$638$	15.1115	−	5.76095i	0.598271	−	0.228078i
$639$	−13.4177	−	89.0208i	−0.530797	−	3.52161i
$640$	8.27203	+	20.6896i	0.326981	+	0.817828i
$641$	−5.50743	+	1.69882i	−0.217530	+	0.0670993i	−0.401605	−	0.915813i	$-0.631547\pi$
$641$	−5.50743	+	1.69882i	−0.217530	+	0.0670993i	0.184074	+	0.982912i	$0.441071\pi$
$642$	14.2663	+	47.9085i	0.563045	+	1.89080i
$643$	−6.88143	−	3.31392i	−0.271377	−	0.130688i	0.293247	−	0.956037i	$-0.405264\pi$
$643$	−6.88143	−	3.31392i	−0.271377	−	0.130688i	−0.564623	+	0.825349i	$0.690979\pi$
$644$	3.41860	−	11.4620i	0.134712	−	0.451665i
$645$	−54.2345	+	26.1179i	−2.13548	+	1.02839i
$646$	0.534212	+	0.587156i	0.0210183	+	0.0231014i
$647$	0.772862	+	10.3131i	0.0303844	+	0.405451i	0.991572	+	0.129556i	$0.0413552\pi$
$647$	0.772862	+	10.3131i	0.0303844	+	0.405451i	−0.961188	+	0.275895i	$0.911026\pi$
$648$	60.7478	−	53.1363i	2.38640	−	2.08739i
$649$	18.5287	−	60.0685i	0.727315	−	2.35790i
$650$	−1.68196	−	0.993137i	−0.0659720	−	0.0389540i
$651$	23.3742	−	31.1140i	0.916109	−	1.21945i
$652$	6.79282	−	0.375633i	0.266027	−	0.0147109i
$653$	8.64278	−	5.89254i	0.338218	−	0.230593i	−0.382286	−	0.924044i	$-0.624863\pi$
$653$	8.64278	−	5.89254i	0.338218	−	0.230593i	0.720504	+	0.693451i	$0.243911\pi$
$654$	−26.8234	−	13.2421i	−1.04888	−	0.517809i
$655$	−21.8785	+	12.6316i	−0.854864	+	0.493556i
$656$	5.53634	−	7.47461i	0.216158	−	0.291835i
$657$	48.7272	−	11.1217i	1.90103	−	0.433898i
$658$	−3.35109	−	35.5747i	−0.130639	−	1.38685i
$659$	−37.9549	−	8.66297i	−1.47851	−	0.337461i	−0.594186	−	0.804327i	$-0.702526\pi$
$659$	−37.9549	−	8.66297i	−1.47851	−	0.337461i	−0.884328	+	0.466866i	$0.845383\pi$
$660$	64.0315	+	1.25246i	2.49242	+	0.0487518i
$661$	6.95859	−	46.1672i	0.270658	−	1.79570i	−0.278982	−	0.960296i	$-0.589997\pi$
$661$	6.95859	−	46.1672i	0.270658	−	1.79570i	0.549640	−	0.835401i	$-0.314765\pi$
$662$	−11.5401	+	2.51548i	−0.448518	+	0.0977670i
$663$	3.16278	+	2.93463i	0.122832	+	0.113972i
$664$	16.1099	−	19.0282i	0.625185	−	0.738439i
$665$	−2.52550	+	1.07641i	−0.0979347	+	0.0417413i
$666$	−1.42655	+	0.952304i	−0.0552776	+	0.0369010i
$667$	4.52627	+	2.61324i	0.175258	+	0.101185i
$668$	−19.0665	−	6.29214i	−0.737705	−	0.243450i
$669$	−3.18271	+	2.95312i	−0.123051	+	0.114174i
$670$	2.37047	+	1.65034i	0.0915793	+	0.0637583i
$671$	−3.25293	+	4.07905i	−0.125578	+	0.157470i
$672$	−48.4966	−	8.30443i	−1.87080	−	0.320351i
$673$	−20.9509	−	26.2716i	−0.807598	−	1.01270i	−0.999511	−	0.0312837i	$-0.990040\pi$
$673$	−20.9509	−	26.2716i	−0.807598	−	1.01270i	0.191913	−	0.981412i	$-0.438531\pi$
$674$	−1.07903	−	16.5717i	−0.0415627	−	0.638318i
$675$	−6.47388	+	16.4952i	−0.249180	+	0.634899i
$676$	−16.5258	−	15.9464i	−0.635609	−	0.613322i
$677$	0.162376	−	0.0637278i	0.00624061	−	0.00244926i	−0.362219	−	0.932093i	$-0.617981\pi$
$677$	0.162376	−	0.0637278i	0.00624061	−	0.00244926i	0.368459	+	0.929644i	$0.379885\pi$
$678$	−62.2937	−	58.9441i	−2.39238	−	2.26374i
$679$	10.1445	−	15.8443i	0.389308	−	0.608047i
$680$	3.56254	+	4.74648i	0.136617	+	0.182019i
$681$	−0.891967	+	11.9025i	−0.0341802	+	0.456104i
$682$	−24.6564	+	19.2715i	−0.944144	+	0.737942i
$683$	−13.5029	+	19.8051i	−0.516673	+	0.757820i	−0.992569	−	0.121682i	$-0.961171\pi$
$683$	−13.5029	+	19.8051i	−0.516673	+	0.757820i	0.475897	+	0.879501i	$0.342124\pi$
$684$	5.25421	−	6.33053i	0.200900	−	0.242054i
$685$			5.61092i			0.214382i
$686$	−24.3607	+	9.62062i	−0.930096	+	0.367317i
$687$			20.6585i			0.788172i
$688$	−37.1653	+	1.32680i	−1.41691	+	0.0505838i
$689$	−1.52806	+	2.24125i	−0.0582145	+	0.0853850i
$690$	12.7457	+	16.3071i	0.485219	+	0.620803i
$691$	0.135141	−	1.80334i	0.00514102	−	0.0686021i	−0.994043	−	0.108987i	$-0.965239\pi$
$691$	0.135141	−	1.80334i	0.00514102	−	0.0686021i	0.999184	+	0.0403848i	$0.0128584\pi$
$692$	−1.82995	−	6.37245i	−0.0695644	−	0.242244i
$693$	−55.0876	+	86.0394i	−2.09261	+	3.26837i
$694$	19.7908	−	20.9155i	0.751249	−	0.793940i
$695$	9.91335	−	3.89070i	0.376035	−	0.147583i
$696$	8.43837	−	19.7745i	0.319856	−	0.749550i
$697$	0.905117	−	2.30620i	0.0342838	−	0.0873536i
$698$	11.9723	−	0.779548i	0.453157	−	0.0295063i
$699$	39.3293	+	49.3174i	1.48757	+	1.86536i
$700$	5.65268	−	1.80163i	0.213651	−	0.0680952i
$701$	−19.1596	+	24.0253i	−0.723647	+	0.907424i	−0.998538	−	0.0540510i	$-0.982787\pi$
$701$	−19.1596	+	24.0253i	−0.723647	+	0.907424i	0.274891	+	0.961475i	$0.411358\pi$
$702$	15.7319	−	22.5966i	0.593764	−	0.852853i
$703$	−0.0599956	+	0.0556678i	−0.00226278	+	0.00209955i
$704$	35.9202	+	16.5901i	1.35379	+	0.625262i
$705$	53.5472	+	30.9155i	2.01671	+	1.16435i
$706$	−17.1479	−	25.6875i	−0.645370	−	0.966761i
$707$	8.13993	−	3.46936i	0.306134	−	0.130479i
$708$	−40.3607	−	73.1754i	−1.51685	−	2.75010i
$709$	24.5814	+	22.8082i	0.923174	+	0.856581i	0.989983	−	0.141185i	$-0.0450913\pi$
$709$	24.5814	+	22.8082i	0.923174	+	0.856581i	−0.0668089	+	0.997766i	$0.521282\pi$
$710$	−6.83996	−	31.3791i	−0.256699	−	1.17764i
$711$	−10.5896	+	70.2573i	−0.397140	+	2.63485i
$712$	24.8871	−	8.93427i	0.932684	−	0.334826i
$713$	−9.85989	−	2.25046i	−0.369256	−	0.0842802i
$714$	−13.0471	+	1.22902i	−0.488276	+	0.0459950i
$715$	11.6983	−	2.67006i	0.437492	−	0.0998547i
$716$	6.82501	−	1.41794i	0.255062	−	0.0529908i
$717$	14.2171	−	8.20825i	0.530948	−	0.306543i
$718$	−14.4320	+	29.2335i	−0.538596	+	1.09099i
$719$	15.2549	−	10.4006i	0.568911	−	0.387877i	−0.244428	−	0.969668i	$-0.578600\pi$
$719$	15.2549	−	10.4006i	0.568911	−	0.387877i	0.813339	+	0.581791i	$0.197648\pi$
$720$	43.5661	−	43.4169i	1.62361	−	1.61805i
$721$	28.2216	−	37.5665i	1.05103	−	1.39905i
$722$	−13.4623	+	22.7996i	−0.501016	+	0.848514i
$723$	10.4237	−	33.7928i	0.387661	−	1.25677i
$724$	22.9161	−	8.48056i	0.851670	−	0.315178i
$725$	0.193733	+	2.58519i	0.00719507	+	0.0960115i
$726$	46.2899	−	42.1159i	1.71798	−	1.56307i
$727$	−36.3515	+	17.5060i	−1.34820	+	0.649260i	−0.961974	−	0.273143i	$-0.911937\pi$
$727$	−36.3515	+	17.5060i	−1.34820	+	0.649260i	−0.386229	+	0.922403i	$0.626223\pi$
$728$	−9.19302	+	0.684895i	−0.340716	+	0.0253839i
$729$	−60.2859	−	29.0321i	−2.23281	−	1.07526i
$730$	17.0884	−	5.08862i	0.632471	−	0.188338i
$731$	−9.46507	+	2.91959i	−0.350078	+	0.107985i
$732$	0.899419	+	6.87734i	0.0332435	+	0.254194i
$733$	3.19234	+	21.1798i	0.117912	+	0.782292i	0.967136	+	0.254260i	$0.0818319\pi$
$733$	3.19234	+	21.1798i	0.117912	+	0.782292i	−0.849224	+	0.528032i	$0.822930\pi$
$734$	18.9956	+	49.8274i	0.701142	+	1.83916i
$735$	10.8347	−	44.0079i	0.399644	−	1.62326i
$736$	3.16728	+	12.3883i	0.116748	+	0.456639i
$737$	5.07165	−	0.764428i	0.186817	−	0.0281581i
$738$	−24.9752	−	5.95795i	−0.919349	−	0.219315i
$739$	0.228438	+	0.740579i	0.00840325	+	0.0272427i	0.959677	−	0.281104i	$-0.0907006\pi$
$739$	0.228438	+	0.740579i	0.00840325	+	0.0272427i	−0.951274	+	0.308347i	$0.900224\pi$
$740$	−0.485757	+	0.372073i	−0.0178568	+	0.0136777i
$741$	0.925760	−	1.92236i	0.0340086	−	0.0706197i
$742$	−1.98664	−	7.99607i	−0.0729319	−	0.293545i
$743$	−1.75367	−	3.64153i	−0.0643359	−	0.133595i	0.866321	−	0.499487i	$-0.166478\pi$
$743$	−1.75367	−	3.64153i	−0.0643359	−	0.133595i	−0.930657	+	0.365892i	$0.880764\pi$
$744$	−4.32452	+	41.3773i	−0.158544	+	1.51697i
$745$	38.8572	−	2.91195i	1.42362	−	0.106685i
$746$	−39.6640	−	0.387876i	−1.45220	−	0.0142012i
$747$	−65.7638	−	20.2854i	−2.40617	−	0.742206i
$748$	10.3879	+	1.77414i	0.379820	+	0.0648691i
$749$	−27.9049	−	5.52595i	−1.01962	−	0.201914i
$750$	−17.0435	+	53.3942i	−0.622340	+	1.94968i
$751$	−4.91873	−	7.21446i	−0.179487	−	0.263259i	0.725943	−	0.687755i	$-0.241404\pi$
$751$	−4.91873	−	7.21446i	−0.179487	−	0.263259i	−0.905430	+	0.424496i	$0.860451\pi$
$752$	22.6308	+	30.7739i	0.825259	+	1.12221i
$753$	−14.3454	−	24.8470i	−0.522777	−	0.905476i
$754$	0.639286	−	3.97710i	0.0232814	−	0.144837i
$755$	1.77389	+	7.77194i	0.0645586	+	0.282850i
$756$	19.3703	+	81.3555i	0.704492	+	2.95887i
$757$	2.17827	−	9.54363i	0.0791706	−	0.346869i	−0.919792	−	0.392406i	$-0.871643\pi$
$757$	2.17827	−	9.54363i	0.0791706	−	0.346869i	0.998963	+	0.0455371i	$0.0144999\pi$
$758$	−8.64522	−	3.49094i	−0.314008	−	0.126797i
$759$	36.3418	+	5.47764i	1.31912	+	0.198826i
$760$	1.72369	−	2.37537i	0.0625248	−	0.0861637i
$761$	8.32067	−	8.96754i	0.301624	−	0.325073i	−0.563994	−	0.825779i	$-0.690736\pi$
$761$	8.32067	−	8.96754i	0.301624	−	0.325073i	0.865617	+	0.500706i	$0.166926\pi$
$762$	−7.90134	−	56.1417i	−0.286236	−	2.03380i
$763$	13.7824	−	9.99207i	0.498957	−	0.361737i
$764$	21.0049	−	29.5499i	0.759929	−	1.06908i
$765$	8.19099	−	14.1872i	0.296146	−	0.512940i
$766$	−13.2921	+	16.3375i	−0.480265	+	0.590298i
$767$	−10.6496	−	11.4775i	−0.384535	−	0.414430i
$768$	49.0292	−	19.0487i	1.76919	−	0.687362i
$769$	−27.6304	−	22.0345i	−0.996379	−	0.794585i	−0.0176707	−	0.999844i	$-0.505625\pi$
$769$	−27.6304	−	22.0345i	−0.996379	−	0.794585i	−0.978708	+	0.205258i	$0.934196\pi$
$770$	−17.6161	+	31.9057i	−0.634840	+	1.14980i
$771$	18.9456	−	15.1086i	0.682310	−	0.544124i
$772$	−31.7899	+	14.5503i	−1.14414	+	0.523678i
$773$	47.4224	+	18.6119i	1.70567	+	0.669424i	0.999263	−	0.0383865i	$-0.0122218\pi$
$773$	47.4224	+	18.6119i	1.70567	+	0.669424i	0.706402	+	0.707811i	$0.250317\pi$
$774$	43.6339	+	92.9203i	1.56839	+	3.33995i
$775$	−1.83272	−	4.66970i	−0.0658333	−	0.167741i
$776$	−0.589942	+	20.1039i	−0.0211777	+	0.721688i
$777$	−0.139863	−	1.34388i	−0.00501755	−	0.0482115i
$778$	−1.70735	+	20.1383i	−0.0612113	+	0.721995i
$779$	−1.22174	−	0.0915571i	−0.0437735	−	0.00328037i
$780$	8.24450	−	13.6560i	0.295200	−	0.488962i
$781$	−47.1193	−	32.1254i	−1.68606	−	1.14954i
$782$	1.67393	+	2.96594i	0.0598596	+	0.106062i
$783$	−36.5432			−1.30595
$784$	17.0456	−	22.2137i	0.608772	−	0.793345i
$785$	−16.9122			−0.603621
$786$	29.3121	+	51.9363i	1.04553	+	1.85251i
$787$	−0.361504	−	0.246469i	−0.0128862	−	0.00878568i	0.556860	−	0.830606i	$-0.312006\pi$
$787$	−0.361504	−	0.246469i	−0.0128862	−	0.00878568i	−0.569746	+	0.821821i	$0.692958\pi$
$788$	5.44168	−	9.01346i	0.193852	−	0.321091i
$789$	−78.6691	−	5.89543i	−2.80069	−	0.209883i
$790$	−2.14123	+	25.2561i	−0.0761816	+	0.898571i
$791$	46.2011	−	15.7270i	1.64272	−	0.559188i
$792$	3.20358	−	109.171i	0.113834	−	3.87921i
$793$	0.474761	+	1.20967i	0.0168593	+	0.0429567i
$794$	22.1636	+	47.1983i	0.786555	+	1.67500i
$795$	13.2715	+	5.20869i	0.470693	+	0.184733i
$796$	−29.5925	+	13.5446i	−1.04888	+	0.480075i
$797$	−21.0330	+	16.7733i	−0.745029	+	0.594140i	−0.920683	−	0.390311i	$-0.872367\pi$
$797$	−21.0330	+	16.7733i	−0.745029	+	0.594140i	0.175654	+	0.984452i	$0.443796\pi$
$798$	2.48259	+	5.98635i	0.0878826	+	0.211914i
$799$	7.95453	+	6.34352i	0.281411	+	0.224418i
$800$	−4.19210	+	4.75955i	−0.148213	+	0.168276i
$801$	−49.6459	−	53.5056i	−1.75415	−	1.89053i
$802$	6.06434	−	7.45374i	0.214139	−	0.263201i
$803$	15.8304	−	27.4191i	0.558644	−	0.967600i
$804$	3.95039	−	5.55745i	0.139320	−	0.195996i
$805$	−11.5912	+	2.09129i	−0.408535	+	0.0737082i
$806$	1.08630	+	7.71856i	0.0382634	+	0.271875i
$807$	15.3679	−	16.5627i	0.540977	−	0.583034i
$808$	−5.55562	+	7.65605i	−0.195446	+	0.269339i
$809$	23.5510	+	3.54975i	0.828010	+	0.124802i	0.549355	−	0.835589i	$-0.314873\pi$
$809$	23.5510	+	3.54975i	0.828010	+	0.124802i	0.278655	+	0.960391i	$0.410111\pi$
$810$	−73.6944	−	29.7578i	−2.58936	−	1.04558i
$811$	10.8474	−	47.5257i	0.380904	−	1.66885i	−0.313748	−	0.949506i	$-0.601585\pi$
$811$	10.8474	−	47.5257i	0.380904	−	1.66885i	0.694653	−	0.719345i	$-0.255558\pi$
$812$	7.71743	+	9.49400i	0.270829	+	0.333174i
$813$	−14.5204	−	63.6180i	−0.509252	−	2.23118i
$814$	−0.172436	+	1.07275i	−0.00604389	+	0.0376000i
$815$	−3.34966	−	5.80179i	−0.117334	−	0.203228i
$816$	11.2864	−	8.29989i	0.395104	−	0.290554i
$817$	2.75934	+	4.04721i	0.0965372	+	0.141594i
$818$	9.21614	−	28.8725i	0.322235	−	1.00950i
$819$	11.6987	+	22.5978i	0.408785	+	0.789633i
$820$	−9.02892	−	1.54204i	−0.315303	−	0.0538504i
$821$	−14.5060	−	4.47450i	−0.506261	−	0.156161i	0.0310946	−	0.999516i	$-0.490101\pi$
$821$	−14.5060	−	4.47450i	−0.506261	−	0.156161i	−0.537356	+	0.843355i	$0.680577\pi$
$822$	13.2447	+	0.129521i	0.461962	+	0.00451756i
$823$	−18.5890	+	1.39305i	−0.647971	+	0.0485587i	−0.394661	−	0.918827i	$-0.629138\pi$
$823$	−18.5890	+	1.39305i	−0.647971	+	0.0485587i	−0.253309	+	0.967385i	$0.581519\pi$
$824$	−5.22134	+	49.9582i	−0.181894	+	1.74038i
$825$	7.90962	+	16.4245i	0.275378	+	0.571828i
$826$	47.5480	−	0.909319i	1.65441	−	0.0316393i
$827$	−23.0972	+	47.9618i	−0.803167	+	1.66779i	−0.0604664	+	0.998170i	$0.519259\pi$
$827$	−23.0972	+	47.9618i	−0.803167	+	1.66779i	−0.742701	+	0.669623i	$0.766455\pi$
$828$	28.0208	−	21.4629i	0.973789	−	0.745888i
$829$	−12.3084	−	39.9028i	−0.427488	−	1.38588i	−0.871735	−	0.489978i	$-0.837005\pi$
$829$	−12.3084	−	39.9028i	−0.427488	−	1.38588i	0.444247	−	0.895904i	$-0.353471\pi$
$830$	−23.8812	−	5.69698i	−0.828928	−	0.197745i
$831$	43.7357	−	6.59209i	1.51717	−	0.228677i
$832$	8.05199	−	5.68211i	0.279153	−	0.196992i
$833$	2.84220	−	6.89485i	0.0984765	−	0.238892i
$834$	−8.95526	−	23.4905i	−0.310095	−	0.813409i
$835$	2.94677	+	19.5506i	0.101977	+	0.676575i
$836$	−0.675804	−	5.16748i	−0.0233732	−	0.178721i
$837$	67.5708	−	20.8428i	2.33559	−	0.720434i
$838$	−36.0174	+	10.7253i	−1.24420	+	0.370501i
$839$	29.6388	+	14.2733i	1.02324	+	0.492769i	0.868763	−	0.495227i	$-0.164915\pi$
$839$	29.6388	+	14.2733i	1.02324	+	0.492769i	0.154481	+	0.987996i	$0.450629\pi$
$840$	14.2611	+	46.3049i	0.492054	+	1.59767i
$841$	21.3113	−	10.2630i	0.734872	−	0.353896i
$842$	20.7148	−	18.8469i	0.713879	−	0.649509i
$843$	2.25074	+	30.0340i	0.0775195	+	1.03443i
$844$	26.6010	−	9.84424i	0.915644	−	0.338853i
$845$	−6.66570	+	21.6097i	−0.229307	+	0.743395i
$846$	53.6125	−	90.7973i	1.84323	−	3.12168i
$847$	8.92488	+	34.4776i	0.306662	+	1.18466i
$848$	6.21753	+	6.23890i	0.213511	+	0.214245i
$849$	−17.7275	+	12.0864i	−0.608407	+	0.414805i
$850$	−0.747805	+	1.51476i	−0.0256495	+	0.0519559i
$851$	−0.304092	+	0.175568i	−0.0104241	+	0.00601838i
$852$	−74.2291	+	15.4215i	−2.54305	+	0.528333i
$853$	−47.6309	+	10.8714i	−1.63085	+	0.372231i	−0.937395	−	0.348267i	$-0.886770\pi$
$853$	−47.6309	+	10.8714i	−1.63085	+	0.372231i	−0.693456	+	0.720499i	$0.743913\pi$
$854$	−3.70112	−	1.37151i	−0.126650	−	0.0469320i
$855$	−7.89821	−	1.80272i	−0.270113	−	0.0616516i
$856$	28.6224	−	10.2752i	0.978292	−	0.351199i
$857$	−6.79629	+	45.0904i	−0.232157	+	1.54026i	0.504152	+	0.863615i	$0.331805\pi$
$857$	−6.79629	+	45.0904i	−0.232157	+	1.54026i	−0.736309	+	0.676645i	$0.763433\pi$
$858$	−6.03270	−	27.6758i	−0.205953	−	0.944835i
$859$	22.7617	+	21.1197i	0.776618	+	0.720597i	0.965215	−	0.261458i	$-0.0842033\pi$
$859$	22.7617	+	21.1197i	0.776618	+	0.720597i	−0.188596	+	0.982055i	$0.560394\pi$
$860$	17.6869	+	32.0669i	0.603118	+	1.09347i
$861$	13.3231	−	15.2181i	0.454048	−	0.518632i
$862$	14.5324	+	21.7695i	0.494976	+	0.741473i
$863$	7.88293	+	4.55121i	0.268338	+	0.154925i	0.628132	−	0.778107i	$-0.283820\pi$
$863$	7.88293	+	4.55121i	0.268338	+	0.154925i	−0.359794	+	0.933032i	$0.617153\pi$
$864$	−62.4874	−	63.9406i	−2.12586	−	2.17530i
$865$	−4.78593	+	4.44070i	−0.162727	+	0.150988i
$866$	−28.1164	+	40.3849i	−0.955433	+	1.37234i
$867$	−32.5185	+	40.7769i	−1.10439	+	1.38486i
$868$	−19.6851	−	13.1533i	−0.668155	−	0.446454i
$869$	28.0622	+	35.1889i	0.951946	+	1.19370i
$870$	−21.1267	+	1.37562i	−0.716262	+	0.0466379i
$871$	0.466720	−	1.18918i	0.0158142	−	0.0402939i
$872$	−7.14281	+	16.7385i	−0.241886	+	0.566836i
$873$	51.6803	−	20.2830i	1.74911	−	0.686476i
$874$	1.15757	−	1.22335i	0.0391555	−	0.0413806i
$875$	−22.3613	−	22.7447i	−0.755949	−	0.768910i
$876$	−11.6173	−	40.4551i	−0.392514	−	1.36685i
$877$	−0.860225	+	11.4789i	−0.0290477	+	0.387615i	0.963665	+	0.267113i	$0.0860696\pi$
$877$	−0.860225	+	11.4789i	−0.0290477	+	0.387615i	−0.992713	+	0.120502i	$0.961549\pi$
$878$	−30.4882	−	39.0075i	−1.02893	−	1.31644i
$879$	30.4952	−	44.7282i	1.02858	−	1.50865i
$880$	−1.39007	−	38.9375i	−0.0468591	−	1.31258i
$881$			32.4284i			1.09254i	0.837609	+	0.546270i	$0.183953\pi$
$881$			32.4284i			1.09254i	−0.837609	+	0.546270i	$0.816047\pi$
$882$	−74.8650	−	19.2100i	−2.52083	−	0.646835i
$883$			33.1183i			1.11452i	0.830338	+	0.557260i	$0.188147\pi$
$883$			33.1183i			1.11452i	−0.830338	+	0.557260i	$0.811853\pi$
$884$	1.67638	−	2.01978i	0.0563827	−	0.0679326i
$885$	−46.3569	+	67.9930i	−1.55827	+	2.28556i
$886$	13.9951	−	10.9385i	0.470174	−	0.367487i
$887$	−3.10973	+	41.4964i	−0.104414	+	1.39331i	0.661294	+	0.750127i	$0.270007\pi$
$887$	−3.10973	+	41.4964i	−0.104414	+	1.39331i	−0.765709	+	0.643188i	$0.777612\pi$
$888$	0.867074	+	1.15523i	0.0290971	+	0.0387670i
$889$	30.3617	+	10.9145i	1.01830	+	0.366061i
$890$	−18.9135	−	17.8965i	−0.633981	−	0.599891i
$891$	−131.370	+	51.5590i	−4.40107	+	1.72729i
$892$	1.90076	+	1.83411i	0.0636420	+	0.0614105i
$893$	1.83819	−	4.68362i	0.0615126	−	0.156732i
$894$	−5.97675	−	91.7906i	−0.199892	−	3.06994i
$895$	−4.27983	−	5.36674i	−0.143059	−	0.179390i
$896$	−3.41543	+	29.7378i	−0.114101	+	0.993469i
$897$	5.70748	−	7.15695i	0.190567	−	0.238964i
$898$	36.6927	+	25.5458i	1.22445	+	0.852475i
$899$	7.58355	−	7.03651i	0.252926	−	0.234681i
$900$	16.6257	+	5.48664i	0.554188	+	0.182888i
$901$	2.03168	+	1.17299i	0.0676851	+	0.0390780i
$902$	−13.5276	+	9.03049i	−0.450421	+	0.300682i
$903$	−80.7808	−	3.71038i	−2.68822	−	0.123474i
$904$	−33.7126	+	39.8198i	−1.12127	+	1.32439i
$905$	−17.6386	−	16.3663i	−0.586328	−	0.544033i
$906$	18.3868	−	4.00791i	0.610860	−	0.133154i
$907$	−6.84431	+	45.4091i	−0.227262	+	1.50778i	0.526240	+	0.850336i	$0.323602\pi$
$907$	−6.84431	+	45.4091i	−0.227262	+	1.50778i	−0.753501	+	0.657446i	$0.771637\pi$
$908$	7.26001	+	0.142006i	0.240932	+	0.00471263i
$909$	25.4567	+	5.81033i	0.844346	+	0.192716i
$910$	4.68837	+	7.77335i	0.155418	+	0.257684i
$911$	−33.7189	+	7.69613i	−1.11716	+	0.254984i	−0.740956	−	0.671554i	$-0.765627\pi$
$911$	−33.7189	+	7.69613i	−1.11716	+	0.254984i	−0.376202	+	0.926538i	$0.622770\pi$
$912$	−5.56733	−	4.12364i	−0.184353	−	0.136547i
$913$	−37.7553	+	21.7980i	−1.24952	+	0.721409i
$914$	−35.7039	−	17.6262i	−1.18098	−	0.583024i
$915$	5.64322	−	3.84748i	0.186559	−	0.127194i
$916$	12.5488	−	0.693933i	0.414626	−	0.0229282i
$917$	−33.9239	+	0.980697i	−1.12027	+	0.0323855i
$918$	−20.5047	−	12.1073i	−0.676756	−	0.399599i
$919$	−2.54752	+	8.25885i	−0.0840349	+	0.272434i	−0.987832	−	0.155528i	$-0.950292\pi$
$919$	−2.54752	+	8.25885i	−0.0840349	+	0.272434i	0.903797	+	0.427962i	$0.140768\pi$
$920$	9.47750	−	8.29000i	0.312464	−	0.273313i
$921$	−3.71801	−	49.6134i	−0.122513	−	1.63482i
$922$	20.7641	+	22.8220i	0.683831	+	0.751603i
$923$	−12.7978	+	6.16307i	−0.421243	+	0.202860i
$924$	74.9075	+	42.3197i	2.46428	+	1.39222i
$925$	−0.156922	−	0.0755694i	−0.00515955	−	0.00248471i
$926$	−1.00335	−	3.36942i	−0.0329722	−	0.110726i
$927$	132.494	−	40.8690i	4.35168	−	1.34231i
$928$	−12.2953	−	4.46158i	−0.403613	−	0.146458i
$929$	0.0833771	+	0.553171i	0.00273551	+	0.0181489i	0.990157	−	0.139962i	$-0.0446979\pi$
$929$	0.0833771	+	0.553171i	0.00273551	+	0.0181489i	−0.987421	+	0.158110i	$0.949460\pi$
$930$	38.2801	−	14.5935i	1.25526	−	0.478540i
$931$	−3.67250	−	0.338079i	−0.120361	−	0.0110801i
$932$	28.6363	−	25.5469i	0.938015	−	0.836815i
$933$	−7.30523	+	1.10109i	−0.239163	+	0.0360479i
$934$	5.26458	−	22.0686i	0.172262	−	0.722108i
$935$	−3.05880	−	9.91639i	−0.100034	−	0.324301i
$936$	−23.1497	−	14.2869i	−0.756673	−	0.466981i
$937$	−12.9214	+	26.8316i	−0.422124	+	0.876550i	0.576123	+	0.817363i	$0.304565\pi$
$937$	−12.9214	+	26.8316i	−0.422124	+	0.876550i	−0.998247	+	0.0591866i	$0.981149\pi$
$938$	1.75010	+	3.46312i	0.0571427	+	0.113075i
$939$	26.8653	+	55.7863i	0.876715	+	1.82052i
$940$	16.9807	−	33.5653i	0.553848	−	1.09478i
$941$	9.69768	−	0.726740i	0.316135	−	0.0236911i	0.0842823	−	0.996442i	$-0.473140\pi$
$941$	9.69768	−	0.726740i	0.316135	−	0.0236911i	0.231853	+	0.972751i	$0.425521\pi$
$942$	−0.390395	+	39.9215i	−0.0127198	+	1.30071i
$943$	−5.02285	−	1.54934i	−0.163566	−	0.0504536i
$944$	−43.0940	+	26.9748i	−1.40259	+	0.877954i
$945$	62.8755	−	53.1853i	2.04534	−	1.73012i
$946$	61.9492	+	19.7743i	2.01414	+	0.642917i
$947$	−16.0157	−	23.4907i	−0.520441	−	0.763346i	0.472580	−	0.881288i	$-0.343323\pi$
$947$	−16.0157	−	23.4907i	−0.520441	−	0.763346i	−0.993021	+	0.117941i	$0.962370\pi$
$948$	59.5681	+	5.63743i	1.93468	+	0.183095i
$949$	−3.94297	−	6.82943i	−0.127994	−	0.221693i
$950$	0.824814	+	0.132582i	0.0267605	+	0.00430153i
$951$	7.71130	+	33.7854i	0.250056	+	1.09557i
$952$	1.18482	+	7.88407i	0.0384002	+	0.255524i
$953$	1.20912	−	5.29751i	0.0391673	−	0.171603i	−0.951561	−	0.307459i	$-0.900521\pi$
$953$	1.20912	−	5.29751i	0.0391673	−	0.171603i	0.990729	+	0.135856i	$0.0433784\pi$
$954$	9.10358	−	22.5448i	0.294739	−	0.729914i
$955$	−35.3024	−	5.32098i	−1.14236	−	0.172183i
$956$	−5.46359	−	8.36034i	−0.176705	−	0.270393i
$957$	−25.5706	+	27.5586i	−0.826582	+	0.890843i
$958$	12.2955	−	1.73046i	0.397250	−	0.0559087i
$959$	−3.57861	+	6.63396i	−0.115559	+	0.214222i
$960$	−38.5328	−	34.6137i	−1.24364	−	1.11715i
$961$	5.49084	−	9.51041i	0.177124	−	0.306788i
$962$	0.209924	+	0.170794i	0.00676822	+	0.00550661i
$963$	−57.0972	−	61.5361i	−1.83993	−	1.98297i
$964$	−20.8773	−	5.19666i	−0.672412	−	0.167373i
$965$	26.9167	+	21.4654i	0.866480	+	0.690994i
$966$	4.66896	+	27.4095i	0.150221	+	0.881887i
$967$	29.6061	−	23.6100i	0.952067	−	0.759248i	−0.0185627	−	0.999828i	$-0.505909\pi$
$967$	29.6061	−	23.6100i	0.952067	−	0.759248i	0.970629	+	0.240580i	$0.0773376\pi$
$968$	−27.1379	−	26.7037i	−0.872244	−	0.858289i
$969$	−1.71773	−	0.674160i	−0.0551815	−	0.0216571i
$970$	17.9273	−	8.41838i	0.575611	−	0.270298i
$971$	12.1343	+	30.9178i	0.389409	+	0.992198i	0.982367	+	0.186964i	$0.0598649\pi$
$971$	12.1343	+	30.9178i	0.389409	+	0.992198i	−0.592958	+	0.805234i	$0.702040\pi$
$972$	−35.5812	+	85.6926i	−1.14127	+	2.74859i
$973$	14.2023	+	1.72258i	0.455305	+	0.0552233i
$974$	38.5329	+	3.26685i	1.23467	+	0.104677i
$975$	4.52790	+	0.339319i	0.145009	+	0.0108669i
$976$	4.14737	−	0.777359i	0.132754	−	0.0248826i
$977$	0.684500	+	0.466684i	0.0218991	+	0.0149305i	0.574220	−	0.818701i	$-0.305305\pi$
$977$	0.684500	+	0.466684i	0.0218991	+	0.0149305i	−0.552321	+	0.833631i	$0.686258\pi$
$978$	−13.7726	+	7.77304i	−0.440399	+	0.248554i
$979$	−46.2368			−1.47774
$980$	−27.0962	−	5.10319i	−0.865555	−	0.163015i
$981$	50.2353			1.60389
$982$	50.2449	−	28.3574i	1.60338	−	0.904922i
$983$	12.2711	+	8.36632i	0.391388	+	0.266844i	0.742986	−	0.669307i	$-0.233409\pi$
$983$	12.2711	+	8.36632i	0.391388	+	0.266844i	−0.351597	+	0.936151i	$0.614361\pi$
$984$	−3.84845	+	21.2774i	−0.122684	+	0.678298i
$985$	−10.3390	−	0.774802i	−0.329428	−	0.0246872i
$986$	−3.47128	−	0.294298i	−0.110548	−	0.00937236i
$987$	43.5928	+	70.7044i	1.38757	+	2.25055i
$988$	−1.19882	−	0.497771i	−0.0381395	−	0.0158362i
$989$	7.67783	+	19.5628i	0.244141	+	0.622061i
$990$	−97.3510	+	45.7145i	−3.09402	+	1.45290i
$991$	−44.3660	−	17.4124i	−1.40933	−	0.553122i	−0.465944	−	0.884814i	$-0.654285\pi$
$991$	−44.3660	−	17.4124i	−1.40933	−	0.553122i	−0.943388	+	0.331693i	$0.892380\pi$
$992$	25.2796	+	1.23700i	0.802627	+	0.0392747i
$993$	21.4659	−	17.1185i	0.681200	−	0.543239i
$994$	11.9263	−	41.4630i	0.378280	−	1.31513i
$995$	25.0562	+	19.9816i	0.794334	+	0.633460i
$996$	−13.9991	+	56.2406i	−0.443579	+	1.78205i
$997$	−33.6416	−	36.2570i	−1.06544	−	1.14827i	−0.988498	−	0.151236i	$-0.951675\pi$
$997$	−33.6416	−	36.2570i	−1.06544	−	1.14827i	−0.0769425	−	0.997036i	$-0.524516\pi$
$998$	−12.0883	−	9.83502i	−0.382649	−	0.311322i
$999$	1.22755	−	2.12618i	0.0388381	−	0.0672695i

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Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	196.2.p.a.103.19	yes	312
4.3	odd	2	inner	196.2.p.a.103.16	yes	312
49.10	odd	42	inner	196.2.p.a.59.16	✓	312
196.59	even	42	inner	196.2.p.a.59.19	yes	312

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
196.2.p.a.59.16	✓	312	49.10	odd	42	inner
196.2.p.a.59.19	yes	312	196.59	even	42	inner
196.2.p.a.103.16	yes	312	4.3	odd	2	inner
196.2.p.a.103.19	yes	312	1.1	even	1	trivial

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Hilbert	Bianchi

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

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Newspace parameters

Newform invariants

Embedding invariants

$q$ -expansion

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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	196.2.p.a.103.19

Level	$196$
Weight	$2$
Character	196.103
Analytic conductor	$1.565$
Analytic rank	$0$
Dimension	$312$
Inner twists	$4$