LMFDB - Embedded newform 185.2.p.a.103.10

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [185,2,Mod(82,185)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(185, base_ring=CyclotomicField(12)) chi = DirichletCharacter(H, H._module([3, 1])) N = Newforms(chi, 2, names="a")

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("185.82"); S:= CuspForms(chi, 2); N := Newforms(S);

Level:	$N$	$=$	$185 = 5 \cdot 37$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	185.p (of order $12$ , degree $4$ , minimal)

Newform invariants

comment:select newform

sage:traces = [] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(0)] == traces)

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

Self dual:	no
Analytic conductor:	$1.47723243739$
Analytic rank:	$0$
Dimension:	$68$
Relative dimension:	$17$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			103.10
Character	$\chi$	$=$	185.103
Dual form			185.2.p.a.97.10

$q$ -expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.176486 + 0.305683i) q^{2} +(0.676530 + 2.52485i) q^{3} +(0.937705 - 1.62415i) q^{4} +(-1.82602 + 1.29060i) q^{5} +(-0.652403 + 0.652403i) q^{6} +(0.404156 + 1.50833i) q^{7} +1.36791 q^{8} +(-3.31908 + 1.91627i) q^{9} +(-0.716780 - 0.330411i) q^{10} +2.57054i q^{11} +(4.73512 + 1.26877i) q^{12} +(2.54861 - 4.41433i) q^{13} +(-0.389743 + 0.389743i) q^{14} +(-4.49392 - 3.73730i) q^{15} +(-1.63399 - 2.83016i) q^{16} +(-0.593443 + 0.342624i) q^{17} +(-1.17154 - 0.676389i) q^{18} +(-4.59908 + 1.23232i) q^{19} +(0.383856 + 4.17594i) q^{20} +(-3.53488 + 2.04087i) q^{21} +(-0.785768 + 0.453664i) q^{22} +5.83340 q^{23} +(0.925433 + 3.45376i) q^{24} +(1.66872 - 4.71332i) q^{25} +1.79918 q^{26} +(-1.53879 - 1.53879i) q^{27} +(2.82874 + 0.757959i) q^{28} +(4.71673 - 4.71673i) q^{29} +(0.349314 - 2.03329i) q^{30} +(-1.40786 - 1.40786i) q^{31} +(1.94466 - 3.36826i) q^{32} +(-6.49021 + 1.73905i) q^{33} +(-0.209469 - 0.120937i) q^{34} +(-2.68465 - 2.23265i) q^{35} +7.18758i q^{36} +(3.80409 - 4.74646i) q^{37} +(-1.18837 - 1.18837i) q^{38} +(12.8697 + 3.44843i) q^{39} +(-2.49784 + 1.76542i) q^{40} +(-6.82923 - 3.94286i) q^{41} +(-1.24771 - 0.720368i) q^{42} +2.28668 q^{43} +(4.17495 + 2.41041i) q^{44} +(3.58758 - 7.78274i) q^{45} +(1.02951 + 1.78317i) q^{46} +(-7.99119 + 7.99119i) q^{47} +(6.04027 - 6.04027i) q^{48} +(3.95045 - 2.28080i) q^{49} +(1.73528 - 0.321736i) q^{50} +(-1.26656 - 1.26656i) q^{51} +(-4.77970 - 8.27868i) q^{52} +(-1.17167 + 4.37275i) q^{53} +(0.198807 - 0.741957i) q^{54} +(-3.31753 - 4.69386i) q^{55} +(0.552850 + 2.06326i) q^{56} +(-6.22283 - 10.7783i) q^{57} +(2.27426 + 0.609385i) q^{58} +(2.43277 - 9.07924i) q^{59} +(-10.2839 + 3.79433i) q^{60} +(-2.49030 + 0.667274i) q^{61} +(0.181891 - 0.678826i) q^{62} +(-4.23180 - 4.23180i) q^{63} -5.16315 q^{64} +(1.04329 + 11.3499i) q^{65} +(-1.67703 - 1.67703i) q^{66} +(0.376380 - 0.100851i) q^{67} +1.28512i q^{68} +(3.94647 + 14.7284i) q^{69} +(0.208678 - 1.21468i) q^{70} +(0.0695659 - 0.120492i) q^{71} +(-4.54020 + 2.62128i) q^{72} +(-6.70047 + 6.70047i) q^{73} +(2.12228 + 0.325159i) q^{74} +(13.0293 + 1.02455i) q^{75} +(-2.31111 + 8.62517i) q^{76} +(-3.87723 + 1.03890i) q^{77} +(1.21720 + 4.54265i) q^{78} +(-0.455083 + 0.121939i) q^{79} +(6.63631 + 3.05911i) q^{80} +(-2.90463 + 5.03097i) q^{81} -2.78343i q^{82} +(0.821188 - 3.06472i) q^{83} +7.65492i q^{84} +(0.641450 - 1.39154i) q^{85} +(0.403567 + 0.698999i) q^{86} +(15.1000 + 8.71800i) q^{87} +3.51627i q^{88} +(-15.2422 - 4.08413i) q^{89} +(3.01220 - 0.276884i) q^{90} +(7.68831 + 2.06008i) q^{91} +(5.47001 - 9.47433i) q^{92} +(2.60217 - 4.50709i) q^{93} +(-3.85310 - 1.03243i) q^{94} +(6.80760 - 8.18580i) q^{95} +(9.81995 + 2.63125i) q^{96} -13.7731i q^{97} +(1.39440 + 0.805056i) q^{98} +(-4.92584 - 8.53181i) q^{99} +O(q^{100})$
$\operatorname{Tr}(f)(q)$	$=$	$68 q - 4 q^{2} - 8 q^{3} - 30 q^{4} - 10 q^{5} - 8 q^{6} - 2 q^{7} + 12 q^{8} - 6 q^{10} + 14 q^{12} - 6 q^{13} - 8 q^{15} - 26 q^{16} + 12 q^{17} + 18 q^{18} + 4 q^{19} + 48 q^{20} - 12 q^{21} + 6 q^{22}+ \cdots + 32 q^{99}+O(q^{100})$ 68 * q - 4 * q^2 - 8 * q^3 - 30 * q^4 - 10 * q^5 - 8 * q^6 - 2 * q^7 + 12 * q^8 - 6 * q^10 + 14 * q^12 - 6 * q^13 - 8 * q^15 - 26 * q^16 + 12 * q^17 + 18 * q^18 + 4 * q^19 + 48 * q^20 - 12 * q^21 + 6 * q^22 - 12 * q^23 + 10 * q^25 - 24 * q^26 - 68 * q^27 - 26 * q^28 + 14 * q^29 + 10 * q^30 - 24 * q^31 - 16 * q^32 - 2 * q^33 - 10 * q^35 - 16 * q^37 - 36 * q^38 + 52 * q^39 + 42 * q^40 - 18 * q^41 + 132 * q^42 + 8 * q^43 - 36 * q^44 - 32 * q^45 - 52 * q^46 - 24 * q^47 - 60 * q^48 - 36 * q^49 - 8 * q^50 - 8 * q^51 - 26 * q^52 + 82 * q^53 + 40 * q^54 + 18 * q^55 + 16 * q^56 - 6 * q^57 + 86 * q^58 - 8 * q^59 + 36 * q^60 + 4 * q^61 + 10 * q^62 - 48 * q^63 - 20 * q^64 + 8 * q^65 + 80 * q^66 - 40 * q^67 + 8 * q^69 - 82 * q^70 + 4 * q^71 - 90 * q^72 - 60 * q^73 - 44 * q^74 + 64 * q^75 + 72 * q^76 + 66 * q^77 - 24 * q^78 + 56 * q^79 + 34 * q^80 - 6 * q^81 + 24 * q^83 - 20 * q^85 - 4 * q^86 - 84 * q^87 - 22 * q^89 - 50 * q^90 + 44 * q^91 + 44 * q^92 - 34 * q^93 - 20 * q^94 - 28 * q^95 - 8 * q^96 + 42 * q^98 + 32 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/185\mathbb{Z}\right)^\times$ .

$n$	$76$	$112$
$\chi(n)$	$e\left(\frac{7}{12}\right)$	$e\left(\frac{3}{4}\right)$

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

)

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

$2$	0.176486	+	0.305683i	0.124794	+	0.216150i	0.921653	−	0.388016i	$-0.126840\pi$
$2$	0.176486	+	0.305683i	0.124794	+	0.216150i	−0.796858	+	0.604166i	$0.793506\pi$
$3$	0.676530	+	2.52485i	0.390595	+	1.45772i	0.829155	+	0.559018i	$0.188822\pi$
$3$	0.676530	+	2.52485i	0.390595	+	1.45772i	−0.438560	+	0.898702i	$0.644511\pi$
$4$	0.937705	−	1.62415i	0.468853	−	0.812077i
$5$	−1.82602	+	1.29060i	−0.816622	+	0.577173i
$5$	−1.82602	+	1.29060i	−0.816622	+	0.577173i
$6$	−0.652403	+	0.652403i	−0.266342	+	0.266342i
$7$	0.404156	+	1.50833i	0.152757	+	0.570096i	0.999287	+	0.0377554i	$0.0120208\pi$
$7$	0.404156	+	1.50833i	0.152757	+	0.570096i	−0.846530	+	0.532341i	$0.821313\pi$
$8$	1.36791			0.483629
$9$	−3.31908	+	1.91627i	−1.10636	+	0.638756i
$10$	−0.716780	−	0.330411i	−0.226666	−	0.104485i
$11$			2.57054i			0.775046i	0.921860	+	0.387523i	$0.126669\pi$
$11$			2.57054i			0.775046i	−0.921860	+	0.387523i	$0.873331\pi$
$12$	4.73512	+	1.26877i	1.36691	+	0.366263i
$13$	2.54861	−	4.41433i	0.706858	−	1.22431i	−0.259158	−	0.965835i	$-0.583445\pi$
$13$	2.54861	−	4.41433i	0.706858	−	1.22431i	0.966017	−	0.258480i	$-0.0832215\pi$
$14$	−0.389743	+	0.389743i	−0.104163	+	0.104163i
$15$	−4.49392	−	3.73730i	−1.16032	−	0.964966i
$16$	−1.63399	−	2.83016i	−0.408499	−	0.707540i
$17$	−0.593443	+	0.342624i	−0.143931	+	0.0830986i	−0.570236	−	0.821481i	$-0.693148\pi$
$17$	−0.593443	+	0.342624i	−0.143931	+	0.0830986i	0.426305	+	0.904579i	$0.359815\pi$
$18$	−1.17154	−	0.676389i	−0.276135	−	0.159426i
$19$	−4.59908	+	1.23232i	−1.05510	+	0.282714i	−0.744358	−	0.667780i	$-0.767245\pi$
$19$	−4.59908	+	1.23232i	−1.05510	+	0.282714i	−0.310743	+	0.950494i	$0.600578\pi$
$20$	0.383856	+	4.17594i	0.0858328	+	0.933769i
$21$	−3.53488	+	2.04087i	−0.771374	+	0.445353i
$22$	−0.785768	+	0.453664i	−0.167526	+	0.0967214i
$23$	5.83340			1.21635			0.608174	−	0.793804i	$-0.291902\pi$
$23$	5.83340			1.21635			0.608174	+	0.793804i	$0.291902\pi$
$24$	0.925433	+	3.45376i	0.188903	+	0.704996i
$25$	1.66872	−	4.71332i	0.333744	−	0.942664i
$26$	1.79918			0.352848
$27$	−1.53879	−	1.53879i	−0.296141	−	0.296141i
$28$	2.82874	+	0.757959i	0.534582	+	0.143241i
$29$	4.71673	−	4.71673i	0.875874	−	0.875874i	−0.117231	−	0.993105i	$-0.537402\pi$
$29$	4.71673	−	4.71673i	0.875874	−	0.875874i	0.993105	+	0.117231i	$0.0374017\pi$
$30$	0.349314	−	2.03329i	0.0637756	−	0.371227i
$31$	−1.40786	−	1.40786i	−0.252859	−	0.252859i	0.569283	−	0.822142i	$-0.307221\pi$
$31$	−1.40786	−	1.40786i	−0.252859	−	0.252859i	−0.822142	+	0.569283i	$0.807221\pi$
$32$	1.94466	−	3.36826i	0.343771	−	0.595429i
$33$	−6.49021	+	1.73905i	−1.12980	+	0.302729i
$34$	−0.209469	−	0.120937i	−0.0359236	−	0.0207405i
$35$	−2.68465	−	2.23265i	−0.453788	−	0.377386i
$36$			7.18758i			1.19793i
$37$	3.80409	−	4.74646i	0.625388	−	0.780314i
$37$	3.80409	−	4.74646i	0.625388	−	0.780314i
$38$	−1.18837	−	1.18837i	−0.192779	−	0.192779i
$39$	12.8697	+	3.44843i	2.06080	+	0.552191i
$40$	−2.49784	+	1.76542i	−0.394943	+	0.279138i
$41$	−6.82923	−	3.94286i	−1.06655	−	0.615771i	−0.139311	−	0.990249i	$-0.544489\pi$
$41$	−6.82923	−	3.94286i	−1.06655	−	0.615771i	−0.927236	+	0.374478i	$0.877822\pi$
$42$	−1.24771	−	0.720368i	−0.192526	−	0.111155i
$43$	2.28668			0.348716			0.174358	−	0.984682i	$-0.444215\pi$
$43$	2.28668			0.348716			0.174358	+	0.984682i	$0.444215\pi$
$44$	4.17495	+	2.41041i	0.629397	+	0.363383i
$45$	3.58758	−	7.78274i	0.534804	−	1.16018i
$46$	1.02951	+	1.78317i	0.151793	+	0.262914i
$47$	−7.99119	+	7.99119i	−1.16563	+	1.16563i	−0.182412	+	0.983222i	$0.558390\pi$
$47$	−7.99119	+	7.99119i	−1.16563	+	1.16563i	−0.983222	+	0.182412i	$0.941610\pi$
$48$	6.04027	−	6.04027i	0.871838	−	0.871838i
$49$	3.95045	−	2.28080i	0.564351	−	0.325828i
$50$	1.73528	−	0.321736i	0.245406	−	0.0455003i
$51$	−1.26656	−	1.26656i	−0.177353	−	0.177353i
$52$	−4.77970	−	8.27868i	−0.662825	−	1.14805i
$53$	−1.17167	+	4.37275i	−0.160942	+	0.600643i	0.837581	+	0.546313i	$0.183969\pi$
$53$	−1.17167	+	4.37275i	−0.160942	+	0.600643i	−0.998523	+	0.0543303i	$0.982698\pi$
$54$	0.198807	−	0.741957i	0.0270542	−	0.100968i
$55$	−3.31753	−	4.69386i	−0.447335	−	0.632920i
$56$	0.552850	+	2.06326i	0.0738777	+	0.275715i
$57$	−6.22283	−	10.7783i	−0.824235	−	1.42762i
$58$	2.27426	+	0.609385i	0.298624	+	0.0800162i
$59$	2.43277	−	9.07924i	0.316720	−	1.18202i	−0.605657	−	0.795726i	$-0.707090\pi$
$59$	2.43277	−	9.07924i	0.316720	−	1.18202i	0.922377	−	0.386290i	$-0.126244\pi$
$60$	−10.2839	+	3.79433i	−1.32765	+	0.489846i
$61$	−2.49030	+	0.667274i	−0.318850	+	0.0854357i	−0.414695	−	0.909961i	$-0.636112\pi$
$61$	−2.49030	+	0.667274i	−0.318850	+	0.0854357i	0.0958442	+	0.995396i	$0.469445\pi$
$62$	0.181891	−	0.678826i	0.0231002	−	0.0862110i
$63$	−4.23180	−	4.23180i	−0.533156	−	0.533156i
$64$	−5.16315			−0.645394
$65$	1.04329	+	11.3499i	0.129404	+	1.40778i
$66$	−1.67703	−	1.67703i	−0.206428	−	0.206428i
$67$	0.376380	−	0.100851i	0.0459822	−	0.0123209i	−0.235755	−	0.971813i	$-0.575756\pi$
$67$	0.376380	−	0.100851i	0.0459822	−	0.0123209i	0.281737	+	0.959492i	$0.409089\pi$
$68$			1.28512i			0.155844i
$69$	3.94647	+	14.7284i	0.475099	+	1.77309i
$70$	0.208678	−	1.21468i	0.0249418	−	0.145182i
$71$	0.0695659	−	0.120492i	0.00825595	−	0.0142997i	−0.861868	−	0.507133i	$-0.830705\pi$
$71$	0.0695659	−	0.120492i	0.00825595	−	0.0142997i	0.870124	+	0.492833i	$0.164039\pi$
$72$	−4.54020	+	2.62128i	−0.535067	+	0.308921i
$73$	−6.70047	+	6.70047i	−0.784231	+	0.784231i	−0.980542	−	0.196311i	$-0.937104\pi$
$73$	−6.70047	+	6.70047i	−0.784231	+	0.784231i	0.196311	+	0.980542i	$0.437104\pi$
$74$	2.12228	+	0.325159i	0.246710	+	0.0377989i
$75$	13.0293	+	1.02455i	1.50450	+	0.118305i
$76$	−2.31111	+	8.62517i	−0.265102	+	0.989374i
$77$	−3.87723	+	1.03890i	−0.441851	+	0.118394i
$78$	1.21720	+	4.54265i	0.137821	+	0.514353i
$79$	−0.455083	+	0.121939i	−0.0512008	+	0.0137192i	−0.284329	−	0.958727i	$-0.591771\pi$
$79$	−0.455083	+	0.121939i	−0.0512008	+	0.0137192i	0.233128	+	0.972446i	$0.425104\pi$
$80$	6.63631	+	3.05911i	0.741962	+	0.342019i
$81$	−2.90463	+	5.03097i	−0.322737	+	0.558997i
$82$		−	2.78343i		−	0.307379i
$83$	0.821188	−	3.06472i	0.0901371	−	0.336396i	−0.906100	−	0.423063i	$-0.860955\pi$
$83$	0.821188	−	3.06472i	0.0901371	−	0.336396i	0.996237	+	0.0866667i	$0.0276215\pi$
$84$			7.65492i			0.835220i
$85$	0.641450	−	1.39154i	0.0695750	−	0.150933i
$86$	0.403567	+	0.698999i	0.0435178	+	0.0753750i
$87$	15.1000	+	8.71800i	1.61889	+	0.934667i
$88$			3.51627i			0.374835i
$89$	−15.2422	−	4.08413i	−1.61567	−	0.432917i	−0.665944	−	0.746002i	$-0.731971\pi$
$89$	−15.2422	−	4.08413i	−1.61567	−	0.432917i	−0.949725	+	0.313084i	$0.898638\pi$
$90$	3.01220	−	0.276884i	0.317514	−	0.0291862i
$91$	7.68831	+	2.06008i	0.805954	+	0.215955i
$92$	5.47001	−	9.47433i	0.570288	−	0.987768i
$93$	2.60217	−	4.50709i	0.269832	−	0.467364i
$94$	−3.85310	−	1.03243i	−0.397417	−	0.106487i
$95$	6.80760	−	8.18580i	0.698445	−	0.839846i
$96$	9.81995	+	2.63125i	1.00224	+	0.268551i
$97$		−	13.7731i		−	1.39845i	−0.714902	−	0.699224i	$-0.753529\pi$
$97$		−	13.7731i		−	1.39845i	0.714902	−	0.699224i	$-0.246471\pi$
$98$	1.39440	+	0.805056i	0.140856	+	0.0813230i
$99$	−4.92584	−	8.53181i	−0.495066	−	0.857479i
$100$	−6.09039	−	7.12996i	−0.609039	−	0.712996i
$101$			12.9947i			1.29302i	0.762904	+	0.646512i	$0.223773\pi$
$101$			12.9947i			1.29302i	−0.762904	+	0.646512i	$0.776227\pi$
$102$	0.163635	−	0.610693i	0.0162023	−	0.0604676i
$103$			15.5723i			1.53439i	0.641415	+	0.767194i	$0.278348\pi$
$103$			15.5723i			1.53439i	−0.641415	+	0.767194i	$0.721652\pi$
$104$	3.48628	−	6.03841i	0.341858	−	0.592115i
$105$	3.82084	−	8.28877i	0.372876	−	0.808902i
$106$	−1.54346	+	0.413568i	−0.149914	+	0.0401693i
$107$	4.03924	+	15.0746i	0.390488	+	1.45732i	0.829331	+	0.558758i	$0.188722\pi$
$107$	4.03924	+	15.0746i	0.390488	+	1.45732i	−0.438843	+	0.898564i	$0.644612\pi$
$108$	−3.94217	+	1.05630i	−0.379335	+	0.101643i
$109$	−4.41374	+	16.4723i	−0.422760	+	1.57776i	0.346007	+	0.938232i	$0.387537\pi$
$109$	−4.41374	+	16.4723i	−0.422760	+	1.57776i	−0.768767	+	0.639530i	$0.779129\pi$
$110$	0.849334	−	1.84251i	0.0809808	−	0.175676i
$111$	14.5577	+	6.39360i	1.38175	+	0.606854i
$112$	3.60843	−	3.60843i	0.340965	−	0.340965i
$113$	−8.58533	+	4.95674i	−0.807640	+	0.466291i	−0.846136	−	0.532968i	$-0.821077\pi$
$113$	−8.58533	+	4.95674i	−0.807640	+	0.466291i	0.0384957	+	0.999259i	$0.487743\pi$
$114$	2.19649	−	3.80442i	0.205720	−	0.356317i
$115$	−10.6519	+	7.52857i	−0.993296	+	0.702042i
$116$	−3.23779	−	12.0836i	−0.300621	−	1.12193i
$117$			19.5353i			1.80604i
$118$	3.20471	−	0.858701i	0.295018	−	0.0790498i
$119$	−0.756635	−	0.756635i	−0.0693606	−	0.0693606i
$120$	−6.14728	−	5.11229i	−0.561167	−	0.466686i
$121$	4.39234			0.399303
$122$	−0.643477	−	0.643477i	−0.0582577	−	0.0582577i
$123$	5.33493	−	19.9102i	0.481034	−	1.79524i
$124$	−3.60674	+	0.966423i	−0.323895	+	0.0867874i
$125$	3.03588	+	10.7603i	0.271537	+	0.962428i
$126$	0.546734	−	2.04044i	0.0487069	−	0.181777i
$127$	−13.0506	−	3.49690i	−1.15805	−	0.310299i	−0.371865	−	0.928287i	$-0.621282\pi$
$127$	−13.0506	−	3.49690i	−1.15805	−	0.310299i	−0.786188	+	0.617987i	$0.787948\pi$
$128$	−4.80055	−	8.31480i	−0.424313	−	0.734931i
$129$	1.54701	+	5.77352i	0.136207	+	0.508330i
$130$	−3.28534	+	2.32201i	−0.288143	+	0.203654i
$131$	2.35244	−	8.77941i	0.205533	−	0.767061i	−0.783753	−	0.621073i	$-0.786697\pi$
$131$	2.35244	−	8.77941i	0.205533	−	0.767061i	0.989286	−	0.145988i	$-0.0466362\pi$
$132$	−3.26143	+	12.1718i	−0.283871	+	1.05942i
$133$	−3.71750	−	6.43889i	−0.322348	−	0.558323i
$134$	0.0972542	+	0.0972542i	0.00840148	+	0.00840148i
$135$	4.79583	+	0.823909i	0.412759	+	0.0709108i
$136$	−0.811777	+	0.468680i	−0.0696093	+	0.0401889i
$137$	−3.39738	+	3.39738i	−0.290258	+	0.290258i	−0.837182	−	0.546924i	$-0.815799\pi$
$137$	−3.39738	+	3.39738i	−0.290258	+	0.290258i	0.546924	+	0.837182i	$0.315799\pi$
$138$	−3.80573	+	3.80573i	−0.323965	+	0.323965i
$139$	−5.14118	−	8.90478i	−0.436069	−	0.755293i	0.561313	−	0.827603i	$-0.310296\pi$
$139$	−5.14118	−	8.90478i	−0.436069	−	0.755293i	−0.997382	+	0.0723099i	$0.976963\pi$
$140$	−6.14357	+	2.26672i	−0.519226	+	0.191572i
$141$	−25.5828	−	14.7702i	−2.15446	−	1.24388i
$142$	0.0491096			0.00412119
$143$	11.3472	+	6.55131i	0.948901	+	0.547848i
$144$	10.8467	+	6.26234i	0.903891	+	0.521862i
$145$	−2.52546	+	14.7002i	−0.209728	+	1.22079i
$146$	−3.23075	−	0.865678i	−0.267379	−	0.0716440i
$147$	8.43126	+	8.43126i	0.695398	+	0.695398i
$148$	−4.14187	−	10.6292i	−0.340460	−	0.873715i
$149$		−	13.8216i		−	1.13231i	−0.824298	−	0.566156i	$-0.808430\pi$
$149$		−	13.8216i		−	1.13231i	0.824298	−	0.566156i	$-0.191570\pi$
$150$	1.98631	+	4.16366i	0.162181	+	0.339962i
$151$	−18.7800	−	10.8426i	−1.52829	−	0.882359i	−0.999434	−	0.0336485i	$-0.989287\pi$
$151$	−18.7800	−	10.8426i	−1.52829	−	0.882359i	−0.528857	−	0.848711i	$-0.677379\pi$
$152$	−6.29113	+	1.68570i	−0.510278	+	0.136729i
$153$	1.31312	−	2.27439i	0.106160	−	0.183874i
$154$	−1.00185	−	1.00185i	−0.0807313	−	0.0807313i
$155$	4.38777	+	0.753805i	0.352434	+	0.0605471i
$156$	17.6688	−	17.6688i	1.41463	−	1.41463i
$157$	9.31810	+	2.49678i	0.743665	+	0.199265i	0.610706	−	0.791857i	$-0.290886\pi$
$157$	9.31810	+	2.49678i	0.743665	+	0.199265i	0.132959	+	0.991122i	$0.457552\pi$
$158$	−0.117590	−	0.117590i	−0.00935498	−	0.00935498i
$159$	−11.8332			−0.938433
$160$	0.796061	+	8.66029i	0.0629342	+	0.684656i
$161$	2.35761	+	8.79870i	0.185805	+	0.693435i
$162$	−2.05051			−0.161103
$163$	16.8451	−	9.72549i	1.31941	−	0.761760i	0.335773	−	0.941943i	$-0.391002\pi$
$163$	16.8451	−	9.72549i	1.31941	−	0.761760i	0.983633	+	0.180183i	$0.0576691\pi$
$164$	−12.8076	+	7.39448i	−1.00011	+	0.577412i
$165$	9.60687	−	11.5518i	0.747893	−	0.899305i
$166$	1.08176	−	0.289856i	0.0839607	−	0.0224972i
$167$	3.52613	+	2.03581i	0.272860	+	0.157536i	0.630187	−	0.776444i	$-0.282978\pi$
$167$	3.52613	+	2.03581i	0.272860	+	0.157536i	−0.357326	+	0.933980i	$0.616312\pi$
$168$	−4.83540	+	2.79172i	−0.373059	+	0.215386i
$169$	−6.49087	−	11.2425i	−0.499297	−	0.864809i
$170$	0.538575	−	0.0495063i	0.0413068	−	0.00379696i
$171$	12.9032	−	12.9032i	0.986735	−	0.986735i
$172$	2.14423	−	3.71392i	0.163496	−	0.283184i
$173$	−3.43126	−	0.919404i	−0.260874	−	0.0699010i	0.126011	−	0.992029i	$-0.459782\pi$
$173$	−3.43126	−	0.919404i	−0.260874	−	0.0699010i	−0.386885	+	0.922128i	$0.626449\pi$
$174$			6.15441i			0.466565i
$175$	7.78368	+	0.612065i	0.588391	+	0.0462677i
$176$	7.27504	−	4.20024i	0.548376	−	0.316605i
$177$	24.5695			1.84676
$178$	−1.44158	−	5.38006i	−0.108051	−	0.403253i
$179$	5.13938	−	5.13938i	0.384135	−	0.384135i	−0.488454	−	0.872590i	$-0.662439\pi$
$179$	5.13938	−	5.13938i	0.384135	−	0.384135i	0.872590	+	0.488454i	$0.162439\pi$
$180$	−9.27627	−	13.1247i	−0.691413	−	0.978257i
$181$	4.66518	−	8.08032i	0.346760	−	0.600606i	−0.638912	−	0.769280i	$-0.720615\pi$
$181$	4.66518	−	8.08032i	0.346760	−	0.600606i	0.985672	+	0.168674i	$0.0539485\pi$
$182$	0.727149	+	2.71376i	0.0538999	+	0.201157i
$183$	−3.36953	−	5.83620i	−0.249083	−	0.431424i
$184$	7.97957			0.588261
$185$	−0.820576	+	13.5767i	−0.0603299	+	0.998178i
$186$	1.83699			0.134694
$187$	−0.880729	−	1.52547i	−0.0644053	−	0.111553i
$188$	5.48553	+	20.4723i	0.400074	+	1.49310i
$189$	1.69910	−	2.94292i	0.123591	−	0.214066i
$190$	3.70370	+	0.636285i	0.268695	+	0.0461610i
$191$	1.71277	−	1.71277i	0.123932	−	0.123932i	−0.642420	−	0.766352i	$-0.722070\pi$
$191$	1.71277	−	1.71277i	0.123932	−	0.123932i	0.766352	+	0.642420i	$0.222070\pi$
$192$	−3.49303	−	13.0362i	−0.252088	−	0.940804i
$193$	−9.20371			−0.662498			−0.331249	−	0.943543i	$-0.607470\pi$
$193$	−9.20371			−0.662498			−0.331249	+	0.943543i	$0.607470\pi$
$194$	4.21020	−	2.43076i	0.302275	−	0.174518i
$195$	−27.9509	+	10.3127i	−2.00161	+	0.738508i
$196$		−	8.55486i		−	0.611061i
$197$	2.22023	+	0.594910i	0.158185	+	0.0423856i	0.337043	−	0.941489i	$-0.390573\pi$
$197$	2.22023	+	0.594910i	0.158185	+	0.0423856i	−0.178857	+	0.983875i	$0.557240\pi$
$198$	1.73868	−	3.01149i	0.123563	−	0.214017i
$199$	13.0048	−	13.0048i	0.921884	−	0.921884i	−0.0752787	−	0.997163i	$-0.523985\pi$
$199$	13.0048	−	13.0048i	0.921884	−	0.921884i	0.997163	+	0.0752787i	$0.0239847\pi$
$200$	2.28266	−	6.44740i	0.161408	−	0.455900i
$201$	0.509266	+	0.882074i	0.0359208	+	0.0622167i
$202$	−3.97226	+	2.29339i	−0.279487	+	0.161362i
$203$	9.02069	+	5.20810i	0.633128	+	0.365537i
$204$	−3.24474	+	0.869425i	−0.227177	+	0.0608719i
$205$	17.5590	−	1.61403i	1.22637	−	0.112729i
$206$	−4.76019	+	2.74830i	−0.331658	+	0.191483i
$207$	−19.3615	+	11.1784i	−1.34572	+	0.776950i
$208$	−16.6577			−1.15500
$209$	−3.16773	−	11.8221i	−0.219116	−	0.817753i
$210$	3.20806	−	0.294887i	0.221377	−	0.0203492i
$211$	18.9546			1.30489			0.652445	−	0.757836i	$-0.273744\pi$
$211$	18.9546			1.30489			0.652445	+	0.757836i	$0.273744\pi$
$212$	6.00333	+	6.00333i	0.412310	+	0.412310i
$213$	0.351286	+	0.0941269i	0.0240697	+	0.00644947i
$214$	−3.89519	+	3.89519i	−0.266270	+	0.266270i
$215$	−4.17553	+	2.95119i	−0.284769	+	0.201269i
$216$	−2.10493	−	2.10493i	−0.143222	−	0.143222i
$217$	1.55453	−	2.69252i	0.105528	−	0.182780i
$218$	−5.81426	+	1.55793i	−0.393792	+	0.105516i
$219$	−21.4507	−	12.3846i	−1.44951	−	0.836872i
$220$	−10.7344	+	0.986716i	−0.723714	+	0.0665244i
$221$			3.49287i			0.234956i
$222$	0.614811	+	5.57841i	0.0412634	+	0.374398i
$223$	12.6125	+	12.6125i	0.844597	+	0.844597i	0.989453	−	0.144856i	$-0.0462718\pi$
$223$	12.6125	+	12.6125i	0.844597	+	0.844597i	−0.144856	+	0.989453i	$0.546272\pi$
$224$	5.86640	+	1.57190i	0.391965	+	0.105027i
$225$	3.49338	+	18.8416i	0.232892	+	1.25610i
$226$	−3.03038	−	1.74959i	−0.201578	−	0.116381i
$227$	−13.0805	−	7.55203i	−0.868183	−	0.501246i	−0.00143883	−	0.999999i	$-0.500458\pi$
$227$	−13.0805	−	7.55203i	−0.868183	−	0.501246i	−0.866744	+	0.498753i	$0.833791\pi$
$228$	−23.3407			−1.54578
$229$	17.9565	+	10.3672i	1.18660	+	0.685083i	0.957532	−	0.288328i	$-0.0930992\pi$
$229$	17.9565	+	10.3672i	1.18660	+	0.685083i	0.229067	+	0.973411i	$0.426433\pi$
$230$	−4.18126	−	1.92742i	−0.275704	−	0.127090i
$231$	−5.24612	−	9.08655i	−0.345169	−	0.597851i
$232$	6.45206	−	6.45206i	0.423598	−	0.423598i
$233$	0.0618698	−	0.0618698i	0.00405322	−	0.00405322i	−0.705077	−	0.709130i	$-0.749088\pi$
$233$	0.0618698	−	0.0618698i	0.00405322	−	0.00405322i	0.709130	+	0.705077i	$0.249088\pi$
$234$	−5.97161	+	3.44771i	−0.390376	+	0.225384i
$235$	4.27869	−	24.9055i	0.279111	−	1.62465i
$236$	−12.4648	−	12.4648i	−0.811393	−	0.811393i
$237$	−0.615754	−	1.06652i	−0.0399975	−	0.0692778i
$238$	0.0977547	−	0.364826i	0.00633650	−	0.0236481i
$239$	−3.92002	+	14.6297i	−0.253565	+	0.946318i	0.715318	+	0.698799i	$0.246282\pi$
$239$	−3.92002	+	14.6297i	−0.253565	+	0.946318i	−0.968883	+	0.247519i	$0.920385\pi$
$240$	−3.23412	+	18.8252i	−0.208761	+	1.21516i
$241$	3.24330	+	12.1042i	0.208919	+	0.779697i	0.988219	+	0.153046i	$0.0489083\pi$
$241$	3.24330	+	12.1042i	0.208919	+	0.779697i	−0.779300	+	0.626651i	$0.784425\pi$
$242$	0.775185	+	1.34266i	0.0498308	+	0.0863095i
$243$	−20.9736	−	5.61986i	−1.34546	−	0.360514i
$244$	−1.25141	+	4.67034i	−0.0801135	+	0.298988i
$245$	−4.27003	+	9.26323i	−0.272802	+	0.591806i
$246$	7.02774	−	1.88308i	0.448072	−	0.120061i
$247$	−6.28142	+	23.4426i	−0.399677	+	1.49161i
$248$	−1.92583	−	1.92583i	−0.122290	−	0.122290i
$249$	8.29350			0.525579
$250$	−2.75344	+	2.82705i	−0.174143	+	0.178798i
$251$	0.772329	+	0.772329i	0.0487490	+	0.0487490i	0.731061	−	0.682312i	$-0.239025\pi$
$251$	0.772329	+	0.772329i	0.0487490	+	0.0487490i	−0.682312	+	0.731061i	$0.739025\pi$
$252$	−10.8413	+	2.90491i	−0.682935	+	0.182992i
$253$			14.9950i			0.942726i
$254$	−1.23431	−	4.60649i	−0.0774472	−	0.289037i
$255$	3.94737	+	0.678147i	0.247194	+	0.0424672i
$256$	−3.46869	+	6.00795i	−0.216793	+	0.375497i
$257$	0.391679	−	0.226136i	0.0244322	−	0.0141060i	−0.487734	−	0.872992i	$-0.662176\pi$
$257$	0.391679	−	0.226136i	0.0244322	−	0.0141060i	0.512166	+	0.858886i	$0.328843\pi$
$258$	−1.49184	+	1.49184i	−0.0928778	+	0.0928778i
$259$	8.69669	+	3.81951i	0.540386	+	0.237333i
$260$	19.4123	+	8.94840i	1.20390	+	0.554956i
$261$	−6.61665	+	24.6937i	−0.409561	+	1.52850i
$262$	3.09889	−	0.830344i	0.191450	−	0.0512988i
$263$	−3.90128	−	14.5598i	−0.240563	−	0.897794i	−0.975562	−	0.219725i	$-0.929484\pi$
$263$	−3.90128	−	14.5598i	−0.240563	−	0.897794i	0.734999	−	0.678069i	$-0.237183\pi$
$264$	−8.87803	+	2.37886i	−0.546405	+	0.146409i
$265$	−3.50395	−	9.49690i	−0.215246	−	0.583390i
$266$	1.31217	−	2.27275i	0.0804544	−	0.139351i
$267$		−	41.2472i		−	2.52429i
$268$	0.189137	−	0.705868i	0.0115534	−	0.0431177i
$269$		−	17.7593i		−	1.08280i	−0.840764	−	0.541402i	$-0.817894\pi$
$269$		−	17.7593i		−	1.08280i	0.840764	−	0.541402i	$-0.182106\pi$
$270$	0.594542	+	1.61141i	0.0361827	+	0.0980673i
$271$	5.45528	+	9.44882i	0.331385	+	0.573975i	0.982784	−	0.184760i	$-0.0591509\pi$
$271$	5.45528	+	9.44882i	0.331385	+	0.573975i	−0.651399	+	0.758735i	$0.725818\pi$
$272$	1.93936	+	1.11969i	0.117591	+	0.0678913i
$273$			20.8055i			1.25921i
$274$	−1.63811	−	0.438930i	−0.0989618	−	0.0265167i
$275$	12.1158	+	4.28951i	0.730608	+	0.258667i
$276$	27.6219	+	7.40125i	1.66264	+	0.445503i
$277$	6.43516	−	11.1460i	0.386652	−	0.669700i	−0.605345	−	0.795963i	$-0.706965\pi$
$277$	6.43516	−	11.1460i	0.386652	−	0.669700i	0.991997	+	0.126263i	$0.0402983\pi$
$278$	1.81469	−	3.14314i	0.108838	−	0.188513i
$279$	7.37063	+	1.97496i	0.441268	+	0.118238i
$280$	−3.67236	−	3.05406i	−0.219465	−	0.182515i
$281$	−25.0501	−	6.71215i	−1.49436	−	0.400413i	−0.583155	−	0.812361i	$-0.698182\pi$
$281$	−25.0501	−	6.71215i	−1.49436	−	0.400413i	−0.911208	+	0.411947i	$0.864849\pi$
$282$		−	10.4269i		−	0.620916i
$283$	4.40886	+	2.54545i	0.262079	+	0.151312i	0.625283	−	0.780398i	$-0.284984\pi$
$283$	4.40886	+	2.54545i	0.262079	+	0.151312i	−0.363203	+	0.931710i	$0.618317\pi$
$284$	−0.130465	−	0.225971i	−0.00774165	−	0.0134089i
$285$	25.2734	+	11.6502i	1.49707	+	0.690098i
$286$			4.62485i			0.273473i
$287$	3.18706	−	11.8943i	0.188126	−	0.702097i
$288$			14.9060i			0.878344i
$289$	−8.26522	+	14.3158i	−0.486189	+	0.842104i
$290$	−4.93931	+	1.82240i	−0.290047	+	0.107015i
$291$	34.7750	−	9.31793i	2.03855	−	0.546227i
$292$	4.59952	+	17.1657i	0.269167	+	1.00454i
$293$	22.5955	−	6.05444i	1.32004	−	0.353704i	0.471048	−	0.882108i	$-0.343876\pi$
$293$	22.5955	−	6.05444i	1.32004	−	0.353704i	0.848993	+	0.528403i	$0.177209\pi$
$294$	−1.08929	+	4.06529i	−0.0635287	+	0.237092i
$295$	7.27533	+	19.7186i	0.423586	+	1.14806i
$296$	5.20365	−	6.49274i	0.302456	−	0.377383i
$297$	3.95552	−	3.95552i	0.229523	−	0.229523i
$298$	4.22503	−	2.43932i	0.244749	−	0.141306i
$299$	14.8671	−	25.7505i	0.859785	−	1.48919i
$300$	13.8817	−	20.2009i	0.801461	−	1.16630i
$301$	0.924177	+	3.44908i	0.0532687	+	0.198801i
$302$		−	7.65427i		−	0.440454i
$303$	−32.8097	+	8.79133i	−1.88487	+	0.505049i
$304$	11.0025	+	11.0025i	0.631039	+	0.631039i
$305$	3.68617	−	4.43243i	0.211069	−	0.253800i
$306$	0.926989			0.0529925
$307$	2.66991	+	2.66991i	0.152380	+	0.152380i	0.779180	−	0.626800i	$-0.215636\pi$
$307$	2.66991	+	2.66991i	0.152380	+	0.152380i	−0.626800	+	0.779180i	$0.715636\pi$
$308$	−1.94836	+	7.27139i	−0.111018	+	0.414326i
$309$	−39.3177	+	10.5352i	−2.23671	+	0.599324i
$310$	0.543954	+	1.47430i	0.0308945	+	0.0837346i
$311$	−2.32734	+	8.68575i	−0.131971	+	0.492524i	−0.999992	−	0.00400430i	$-0.998725\pi$
$311$	−2.32734	+	8.68575i	−0.131971	+	0.492524i	0.868021	+	0.496528i	$0.165392\pi$
$312$	17.6046	+	4.71714i	0.996665	+	0.267056i
$313$	0.747326	+	1.29441i	0.0422414	+	0.0731642i	0.886373	−	0.462972i	$-0.153217\pi$
$313$	0.747326	+	1.29441i	0.0422414	+	0.0731642i	−0.844132	+	0.536136i	$0.819883\pi$
$314$	0.881292	+	3.28903i	0.0497342	+	0.185610i
$315$	13.1889	+	2.26581i	0.743110	+	0.127664i
$316$	−0.228686	+	0.853467i	−0.0128646	+	0.0480113i
$317$	−4.86730	+	18.1650i	−0.273375	+	1.02025i	0.683548	+	0.729906i	$0.260436\pi$
$317$	−4.86730	+	18.1650i	−0.273375	+	1.02025i	−0.956923	+	0.290343i	$0.906230\pi$
$318$	−2.08839	−	3.61720i	−0.117111	−	0.202842i
$319$	12.1245	+	12.1245i	0.678843	+	0.678843i
$320$	9.42804	−	6.66355i	0.527043	−	0.372504i
$321$	−35.3285	+	20.3969i	−1.97184	+	1.13844i
$322$	−2.27353	+	2.27353i	−0.126699	+	0.126699i
$323$	2.30707	−	2.30707i	0.128369	−	0.128369i
$324$	5.44738	+	9.43514i	0.302632	+	0.524175i
$325$	−16.5532	−	19.3787i	−0.918207	−	1.07494i
$326$	5.94583	+	3.43282i	0.329309	+	0.190127i
$327$	−44.5761			−2.46506
$328$	−9.34178	−	5.39348i	−0.515813	−	0.297805i
$329$	−15.2831	−	8.82367i	−0.842582	−	0.486465i
$330$	5.22665	+	0.897924i	0.287718	+	0.0494291i
$331$	−3.69837	−	0.990975i	−0.203281	−	0.0544689i	0.155742	−	0.987798i	$-0.450223\pi$
$331$	−3.69837	−	0.990975i	−0.203281	−	0.0544689i	−0.359023	+	0.933329i	$0.616890\pi$
$332$	−4.20754	−	4.20754i	−0.230919	−	0.230919i
$333$	−3.53055	+	23.0435i	−0.193473	+	1.26278i
$334$			1.43717i			0.0786384i
$335$	−0.557121	+	0.669911i	−0.0304388	+	0.0366012i
$336$	11.5520	+	6.66952i	0.630211	+	0.363852i
$337$	−5.13720	+	1.37651i	−0.279841	+	0.0749832i	−0.396010	−	0.918246i	$-0.629605\pi$
$337$	−5.13720	+	1.37651i	−0.279841	+	0.0749832i	0.116169	+	0.993230i	$0.462939\pi$
$338$	2.29109	−	3.96829i	0.124619	−	0.215846i
$339$	−18.3232	−	18.3232i	−0.995182	−	0.995182i
$340$	−1.65858	−	2.34666i	−0.0899489	−	0.127266i
$341$	3.61896	−	3.61896i	0.195978	−	0.195978i
$342$	6.22153	+	1.66705i	0.336422	+	0.0901440i
$343$	12.7660	+	12.7660i	0.689301	+	0.689301i
$344$	3.12798			0.168649
$345$	−26.2148	−	21.8011i	−1.41136	−	1.17373i
$346$	−0.324524	−	1.21114i	−0.0174465	−	0.0651112i
$347$	−17.6817			−0.949201			−0.474600	−	0.880201i	$-0.657407\pi$
$347$	−17.6817			−0.949201			−0.474600	+	0.880201i	$0.657407\pi$
$348$	28.3187	−	16.3498i	1.51804	−	0.876443i
$349$	12.9795	−	7.49374i	0.694779	−	0.401131i	−0.110621	−	0.993863i	$-0.535284\pi$
$349$	12.9795	−	7.49374i	0.694779	−	0.401131i	0.805400	+	0.592732i	$0.201951\pi$
$350$	1.18661	+	2.48735i	0.0634270	+	0.132955i
$351$	−10.7145	+	2.87095i	−0.571899	+	0.153240i
$352$	8.65823	+	4.99883i	0.461485	+	0.266439i
$353$	10.2045	−	5.89156i	0.543130	−	0.313576i	−0.203216	−	0.979134i	$-0.565140\pi$
$353$	10.2045	−	5.89156i	0.543130	−	0.313576i	0.746347	+	0.665558i	$0.231806\pi$
$354$	4.33617	+	7.51047i	0.230465	+	0.399177i
$355$	0.0284773	+	0.309802i	0.00151142	+	0.0164426i
$356$	−20.9260	+	20.9260i	−1.10907	+	1.10907i
$357$	1.39850	−	2.42227i	0.0740165	−	0.128200i
$358$	2.47805	+	0.663991i	0.130969	+	0.0350930i
$359$			3.55034i			0.187380i	0.995601	+	0.0936900i	$0.0298663\pi$
$359$			3.55034i			0.187380i	−0.995601	+	0.0936900i	$0.970134\pi$
$360$	4.90748	−	10.6461i	0.258647	−	0.561098i
$361$	3.17845	−	1.83508i	0.167287	−	0.0965831i
$362$	3.29335			0.173095
$363$	2.97155	+	11.0900i	0.155966	+	0.582072i
$364$	10.5553	−	10.5553i	0.553246	−	0.553246i
$365$	3.58760	−	20.8828i	0.187784	−	1.09306i
$366$	1.18935	−	2.06001i	0.0621683	−	0.107679i
$367$	1.52339	+	5.68539i	0.0795206	+	0.296775i	0.994220	−	0.107359i	$-0.0342395\pi$
$367$	1.52339	+	5.68539i	0.0795206	+	0.296775i	−0.914700	+	0.404134i	$0.867573\pi$
$368$	−9.53174	−	16.5095i	−0.496876	−	0.860615i
$369$	30.2223			1.57331
$370$	−4.29498	+	2.14526i	−0.223285	+	0.111527i
$371$	−7.06910			−0.367009
$372$	−4.88014	−	8.45265i	−0.253023	−	0.438249i
$373$	−6.89317	−	25.7256i	−0.356915	−	1.33202i	−0.878058	−	0.478554i	$-0.841161\pi$
$373$	−6.89317	−	25.7256i	−0.356915	−	1.33202i	0.521143	−	0.853469i	$-0.325506\pi$
$374$	0.310872	−	0.538447i	0.0160748	−	0.0278424i
$375$	−25.1142	+	14.9448i	−1.29689	+	0.771745i
$376$	−10.9312	+	10.9312i	−0.563735	+	0.563735i
$377$	−8.80007	−	32.8423i	−0.453226	−	1.69146i
$378$	1.19947			0.0616939
$379$	−21.5060	+	12.4165i	−1.10469	+	0.637793i	−0.937449	−	0.348123i	$-0.886819\pi$
$379$	−21.5060	+	12.4165i	−1.10469	+	0.637793i	−0.167241	+	0.985916i	$0.553486\pi$
$380$	−6.91148	−	18.7325i	−0.354551	−	0.960955i
$381$		−	35.3165i		−	1.80932i
$382$	0.825845	+	0.221284i	0.0422539	+	0.0113219i
$383$	0.482819	−	0.836267i	0.0246709	−	0.0427312i	−0.853426	−	0.521213i	$-0.825480\pi$
$383$	0.482819	−	0.836267i	0.0246709	−	0.0427312i	0.878097	+	0.478482i	$0.158813\pi$
$384$	17.7459	−	17.7459i	0.905590	−	0.905590i
$385$	5.73910	−	6.90099i	0.292492	−	0.351707i
$386$	−1.62433	−	2.81341i	−0.0826760	−	0.143199i
$387$	−7.58967	+	4.38190i	−0.385805	+	0.222744i
$388$	−22.3697	−	12.9151i	−1.13565	−	0.655666i
$389$	−17.1704	+	4.60080i	−0.870574	+	0.233270i	−0.666336	−	0.745651i	$-0.732138\pi$
$389$	−17.1704	+	4.60080i	−0.870574	+	0.233270i	−0.204238	+	0.978921i	$0.565472\pi$
$390$	−8.08536	−	6.72406i	−0.409418	−	0.340486i
$391$	−3.46179	+	1.99866i	−0.175070	+	0.101077i
$392$	5.40387	−	3.11992i	0.272937	−	0.157580i
$393$	23.7582			1.19844
$394$	0.209986	+	0.783680i	0.0105790	+	0.0394812i
$395$	0.673617	−	0.809992i	0.0338934	−	0.0407551i
$396$	−18.4760			−0.928452
$397$	24.5436	+	24.5436i	1.23181	+	1.23181i	0.963268	+	0.268541i	$0.0865414\pi$
$397$	24.5436	+	24.5436i	1.23181	+	1.23181i	0.268541	+	0.963268i	$0.413459\pi$
$398$	6.27049	+	1.68017i	0.314311	+	0.0842194i
$399$	13.7422	−	13.7422i	0.687971	−	0.687971i
$400$	−16.0661	+	2.97879i	−0.803306	+	0.148940i
$401$	−12.2360	−	12.2360i	−0.611036	−	0.611036i	0.332180	−	0.943216i	$-0.392216\pi$
$401$	−12.2360	−	12.2360i	−0.611036	−	0.611036i	−0.943216	+	0.332180i	$0.892216\pi$
$402$	−0.179756	+	0.311347i	−0.00896543	+	0.0155286i
$403$	−9.80285	+	2.62667i	−0.488315	+	0.130844i
$404$	21.1054	+	12.1852i	1.05003	+	0.606238i
$405$	−1.18903	−	12.9354i	−0.0590834	−	0.642764i
$406$			3.67662i			0.182468i
$407$	12.2010	+	9.77855i	0.604780	+	0.484705i
$408$	−1.73254	−	1.73254i	−0.0857733	−	0.0857733i
$409$	−32.7833	−	8.78426i	−1.62103	−	0.434354i	−0.669727	−	0.742608i	$-0.733589\pi$
$409$	−32.7833	−	8.78426i	−1.62103	−	0.434354i	−0.951304	+	0.308254i	$0.900255\pi$
$410$	3.59229	+	5.08262i	0.177411	+	0.251012i
$411$	−10.8763	−	6.27943i	−0.536488	−	0.309742i
$412$	25.2919	+	14.6023i	1.24604	+	0.719402i
$413$	14.6777			0.722244
$414$	−6.83406	−	3.94565i	−0.335876	−	0.193918i
$415$	2.45581	+	6.65607i	0.120551	+	0.326733i
$416$	−9.91240	−	17.1688i	−0.485995	−	0.841769i
$417$	19.0050	−	19.0050i	0.930680	−	0.930680i
$418$	3.05475	−	3.05475i	0.149413	−	0.149413i
$419$	−18.2797	+	10.5538i	−0.893023	+	0.515587i	−0.874930	−	0.484249i	$-0.839093\pi$
$419$	−18.2797	+	10.5538i	−0.893023	+	0.515587i	−0.0180930	+	0.999836i	$0.505759\pi$
$420$	−9.87942	−	13.9781i	−0.482066	−	0.682060i
$421$	21.7979	+	21.7979i	1.06237	+	1.06237i	0.997921	+	0.0644457i	$0.0205279\pi$
$421$	21.7979	+	21.7979i	1.06237	+	1.06237i	0.0644457	+	0.997921i	$0.479472\pi$
$422$	3.34522	+	5.79409i	0.162843	+	0.282052i
$423$	11.2101	−	41.8366i	0.545053	−	2.03417i
$424$	−1.60275	+	5.98153i	−0.0778362	+	0.290489i
$425$	0.624609	+	3.36883i	0.0302980	+	0.163412i
$426$	0.0332241	+	0.123994i	0.00160971	+	0.00600754i
$427$	−2.01294	−	3.48652i	−0.0974131	−	0.168725i
$428$	28.2712	+	7.57523i	1.36654	+	0.366163i
$429$	−8.86432	+	33.0821i	−0.427973	+	1.59722i
$430$	−1.63905	−	0.755545i	−0.0790419	−	0.0364356i
$431$	30.9974	−	8.30574i	1.49309	−	0.400073i	0.582314	−	0.812964i	$-0.302147\pi$
$431$	30.9974	−	8.30574i	1.49309	−	0.400073i	0.910781	+	0.412891i	$0.135481\pi$
$432$	−1.84065	+	6.86941i	−0.0885584	+	0.330504i
$433$	6.59714	+	6.59714i	0.317038	+	0.317038i	0.847628	−	0.530590i	$-0.178030\pi$
$433$	6.59714	+	6.59714i	0.317038	+	0.317038i	−0.530590	+	0.847628i	$0.678030\pi$
$434$	1.09741			0.0526772
$435$	−38.8244	+	3.56877i	−1.86149	+	0.171109i
$436$	22.6148	+	22.6148i	1.08305	+	1.08305i
$437$	−26.8283	+	7.18861i	−1.28337	+	0.343878i
$438$		−	8.74281i		−	0.417748i
$439$	1.83248	+	6.83892i	0.0874597	+	0.326404i	0.995769	−	0.0918961i	$-0.0292927\pi$
$439$	1.83248	+	6.83892i	0.0874597	+	0.326404i	−0.908309	+	0.418300i	$0.862626\pi$
$440$	−4.53808	−	6.42078i	−0.216345	−	0.306099i
$441$	−8.74124	+	15.1403i	−0.416249	+	0.720965i
$442$	−1.06771	+	0.616442i	−0.0507857	+	0.0293212i
$443$	−18.7004	+	18.7004i	−0.888481	+	0.888481i	−0.994377	−	0.105896i	$-0.966229\pi$
$443$	−18.7004	+	18.7004i	−0.888481	+	0.888481i	0.105896	+	0.994377i	$0.466229\pi$
$444$	24.0350	−	17.6486i	1.14065	−	0.837564i
$445$	33.1036	−	12.2138i	1.56926	−	0.578990i
$446$	−1.62950	+	6.08136i	−0.0771588	+	0.287961i
$447$	34.8975	−	9.35075i	1.65059	−	0.442275i
$448$	−2.08672	−	7.78775i	−0.0985883	−	0.367937i
$449$	14.0578	−	3.76677i	0.663427	−	0.177765i	0.0886349	−	0.996064i	$-0.471750\pi$
$449$	14.0578	−	3.76677i	0.663427	−	0.177765i	0.574792	+	0.818299i	$0.305083\pi$
$450$	−5.14301	+	4.39314i	−0.242444	+	0.207095i
$451$	10.1353	−	17.5548i	0.477251	−	0.826623i
$452$			18.5919i			0.874488i
$453$	14.6707	−	54.7518i	0.689290	−	2.57247i
$454$		−	5.33130i		−	0.250210i
$455$	−16.6978	+	6.16077i	−0.782803	+	0.288821i
$456$	−8.51228	−	14.7437i	−0.398624	−	0.690437i
$457$	−14.9526	−	8.63291i	−0.699455	−	0.403831i	0.107689	−	0.994185i	$-0.465655\pi$
$457$	−14.9526	−	8.63291i	−0.699455	−	0.403831i	−0.807145	+	0.590354i	$0.798988\pi$
$458$			7.31865i			0.341978i
$459$	1.44041	+	0.385958i	0.0672327	+	0.0180150i
$460$	2.23918	+	24.3599i	0.104403	+	1.13579i
$461$	−12.8182	−	3.43463i	−0.597004	−	0.159967i	−0.0523519	−	0.998629i	$-0.516672\pi$
$461$	−12.8182	−	3.43463i	−0.597004	−	0.159967i	−0.544652	+	0.838662i	$0.683338\pi$
$462$	1.85173	−	3.20729i	0.0861504	−	0.149217i
$463$	11.9408	−	20.6820i	0.554935	−	0.961176i	−0.442973	−	0.896535i	$-0.646076\pi$
$463$	11.9408	−	20.6820i	0.554935	−	0.961176i	0.997909	−	0.0646411i	$-0.0205903\pi$
$464$	−21.0562	−	5.64199i	−0.977509	−	0.261923i
$465$	1.06522	+	11.5884i	0.0493982	+	0.537399i
$466$	0.0298317	+	0.00799337i	0.00138192	+	0.000370286i
$467$			20.4259i			0.945199i	0.881277	+	0.472600i	$0.156684\pi$
$467$			20.4259i			0.945199i	−0.881277	+	0.472600i	$0.843316\pi$
$468$	31.7284	+	18.3184i	1.46664	+	0.846767i
$469$	0.304233	+	0.526947i	0.0140482	+	0.0243322i
$470$	8.36830	−	3.08755i	0.386001	−	0.142418i
$471$			25.2159i			1.16189i
$472$	3.32782	−	12.4196i	0.153175	−	0.571658i
$473$			5.87800i			0.270271i
$474$	0.217344	−	0.376451i	0.00998293	−	0.0172910i
$475$	−1.86626	+	23.7333i	−0.0856297	+	1.08896i
$476$	−1.93839	+	0.519391i	−0.0888461	+	0.0238062i
$477$	−4.49049	−	16.7587i	−0.205605	−	0.767329i
$478$	−5.16388	+	1.38366i	−0.236190	+	0.0632870i
$479$	3.51612	−	13.1223i	0.160655	−	0.599574i	−0.837899	−	0.545825i	$-0.816216\pi$
$479$	3.51612	−	13.1223i	0.160655	−	0.599574i	0.998554	−	0.0537489i	$-0.0171171\pi$
$480$	−21.3273	+	7.86888i	−0.973456	+	0.359164i
$481$	−11.2573	−	28.8894i	−0.513289	−	1.31724i
$482$	−3.12763	+	3.12763i	−0.142460	+	0.142460i
$483$	−20.6204	+	11.9052i	−0.938259	+	0.541704i
$484$	4.11872	−	7.13383i	0.187214	−	0.324265i
$485$	17.7755	+	25.1500i	0.807146	+	1.14200i
$486$	−1.98365	−	7.40309i	−0.0899802	−	0.335811i
$487$			30.9463i			1.40231i	0.713009	+	0.701154i	$0.247332\pi$
$487$			30.9463i			1.40231i	−0.713009	+	0.701154i	$0.752668\pi$
$488$	−3.40651	+	0.912772i	−0.154205	+	0.0413192i
$489$	35.9516	+	35.9516i	1.62579	+	1.62579i
$490$	−3.58521	+	0.329555i	−0.161963	+	0.0148878i
$491$	9.00052			0.406188			0.203094	−	0.979159i	$-0.434900\pi$
$491$	9.00052			0.406188			0.203094	+	0.979159i	$0.434900\pi$
$492$	−27.3347	−	27.3347i	−1.23234	−	1.23234i
$493$	−1.18304	+	4.41517i	−0.0532815	+	0.198849i
$494$	−8.27456	+	2.21716i	−0.372290	+	0.0997549i
$495$	20.0058	+	9.22200i	0.899195	+	0.414498i
$496$	−1.68404	+	6.28491i	−0.0756154	+	0.282201i
$497$	0.209857	+	0.0562310i	0.00941337	+	0.00252231i
$498$	1.46368	+	2.53518i	0.0655893	+	0.113604i
$499$	11.3719	+	42.4404i	0.509075	+	1.89989i	0.429510	+	0.903062i	$0.358686\pi$
$499$	11.3719	+	42.4404i	0.509075	+	1.89989i	0.0795648	+	0.996830i	$0.474647\pi$
$500$	20.3231	+	5.15924i	0.908876	+	0.230728i
$501$	−2.75458	+	10.2802i	−0.123066	+	0.459287i
$502$	−0.0997823	+	0.372393i	−0.00445350	+	0.0166207i
$503$	−0.302046	−	0.523159i	−0.0134676	−	0.0233265i	0.859213	−	0.511618i	$-0.170954\pi$
$503$	−0.302046	−	0.523159i	−0.0134676	−	0.0233265i	−0.872681	+	0.488291i	$0.837620\pi$
$504$	−5.78872	−	5.78872i	−0.257850	−	0.257850i
$505$	−16.7710	−	23.7287i	−0.746298	−	1.05591i
$506$	−4.58370	+	2.64640i	−0.203770	+	0.117647i
$507$	23.9943	−	23.9943i	1.06563	−	1.06563i
$508$	−17.9171	+	17.9171i	−0.794943	+	0.794943i
$509$	8.77913	+	15.2059i	0.389128	+	0.673990i	0.992333	−	0.123597i	$-0.0394430\pi$
$509$	8.77913	+	15.2059i	0.389128	+	0.673990i	−0.603204	+	0.797587i	$0.706110\pi$
$510$	0.489358	+	1.32633i	0.0216691	+	0.0587307i
$511$	−12.8146	−	7.39850i	−0.566883	−	0.327290i
$512$	−21.6509			−0.956844
$513$	8.97331	+	5.18075i	0.396181	+	0.228735i
$514$	0.138252	+	0.0798196i	0.00609801	+	0.00352069i
$515$	−20.0976	−	28.4354i	−0.885606	−	1.25301i
$516$	10.8277	+	2.90128i	0.476664	+	0.127722i
$517$	−20.5416	−	20.5416i	−0.903421	−	0.903421i
$518$	0.367285	+	3.33252i	0.0161376	+	0.146422i
$519$		−	9.28541i		−	0.407584i
$520$	1.42713	+	15.5256i	0.0625838	+	0.680845i
$521$	−19.5517	−	11.2882i	−0.856576	−	0.494545i	0.00628804	−	0.999980i	$-0.497998\pi$
$521$	−19.5517	−	11.2882i	−0.856576	−	0.494545i	−0.862864	+	0.505436i	$0.831332\pi$
$522$	−8.71617	+	2.33549i	−0.381497	+	0.102222i
$523$	6.38608	−	11.0610i	0.279244	−	0.483665i	−0.691953	−	0.721942i	$-0.743250\pi$
$523$	6.38608	−	11.0610i	0.279244	−	0.483665i	0.971197	+	0.238278i	$0.0765829\pi$
$524$	−12.0532	−	12.0532i	−0.526547	−	0.526547i
$525$	3.72052	+	20.0667i	0.162377	+	0.875781i
$526$	3.76215	−	3.76215i	0.164037	−	0.164037i
$527$	1.31785	+	0.353117i	0.0574065	+	0.0153820i
$528$	15.5267	+	15.5267i	0.675715	+	0.675715i
$529$	11.0285			0.479501
$530$	2.28464	−	2.74717i	0.0992383	−	0.119329i
$531$	9.32370	+	34.7965i	0.404614	+	1.51004i
$532$	−13.9437			−0.604535
$533$	−34.8101	+	20.0976i	−1.50779	+	0.870526i
$534$	12.6086	−	7.27955i	0.545626	−	0.315017i
$535$	−26.8310	−	22.3136i	−1.16001	−	0.964702i
$536$	0.514855	−	0.137955i	0.0222383	−	0.00595874i
$537$	16.4531	+	9.49919i	0.710003	+	0.409920i
$538$	5.42871	−	3.13427i	0.234048	−	0.135128i
$539$	5.86287	+	10.1548i	0.252532	+	0.437398i
$540$	5.83523	−	7.01658i	0.251108	−	0.301946i
$541$	20.2821	−	20.2821i	0.871996	−	0.871996i	−0.120694	−	0.992690i	$-0.538512\pi$
$541$	20.2821	−	20.2821i	0.871996	−	0.871996i	0.992690	+	0.120694i	$0.0385120\pi$
$542$	−1.92556	+	3.33517i	−0.0827099	+	0.143258i
$543$	23.5577	+	6.31227i	1.01096	+	0.270885i
$544$			2.66516i			0.114268i
$545$	−13.1995	−	35.7752i	−0.565405	−	1.53244i
$546$	−6.35988	+	3.67188i	−0.272178	+	0.157142i
$547$	1.42392			0.0608826			0.0304413	−	0.999537i	$-0.490309\pi$
$547$	1.42392			0.0608826			0.0304413	+	0.999537i	$0.490309\pi$
$548$	2.33213	+	8.70361i	0.0996235	+	0.371800i
$549$	6.98682	−	6.98682i	0.298190	−	0.298190i
$550$	0.827035	+	4.46061i	0.0352649	+	0.190201i
$551$	−15.8801	+	27.5051i	−0.676514	+	1.17176i
$552$	5.39842	+	20.1472i	0.229772	+	0.857521i
$553$	−0.367849	−	0.637133i	−0.0156425	−	0.0270937i
$554$	4.54286			0.193008
$555$	−34.8342	+	7.11322i	−1.47863	+	0.301939i
$556$	−19.2836			−0.817808
$557$	−11.6809	−	20.2319i	−0.494934	−	0.857251i	0.505049	−	0.863091i	$-0.331475\pi$
$557$	−11.6809	−	20.2319i	−0.494934	−	0.857251i	−0.999983	+	0.00583957i	$0.998141\pi$
$558$	0.697104	+	2.60163i	0.0295107	+	0.110136i
$559$	5.82787	−	10.0942i	0.246493	−	0.426938i
$560$	−1.93205	+	11.2461i	−0.0816440	+	0.475235i
$561$	3.25573	−	3.25573i	0.137457	−	0.137457i
$562$	−2.36920	−	8.84197i	−0.0999387	−	0.372976i
$563$	−33.5056			−1.41209			−0.706045	−	0.708166i	$-0.749523\pi$
$563$	−33.5056			−1.41209			−0.706045	+	0.708166i	$0.749523\pi$
$564$	−47.9782	+	27.7003i	−2.02025	+	1.16639i
$565$	9.27985	−	20.1313i	0.390406	−	0.846931i
$566$			1.79695i			0.0755313i
$567$	−8.76231	−	2.34785i	−0.367982	−	0.0986005i
$568$	0.0951599	−	0.164822i	0.00399282	−	0.00691577i
$569$	28.8255	−	28.8255i	1.20843	−	1.20843i	0.236893	−	0.971536i	$-0.423871\pi$
$569$	28.8255	−	28.8255i	1.20843	−	1.20843i	0.971536	−	0.236893i	$-0.0761291\pi$
$570$	0.899146	+	9.78174i	0.0376611	+	0.409712i
$571$	15.6780	+	27.1551i	0.656105	+	1.13641i	0.981616	+	0.190869i	$0.0611306\pi$
$571$	15.6780	+	27.1551i	0.656105	+	1.13641i	−0.325510	+	0.945538i	$0.605536\pi$
$572$	21.2807	−	12.2864i	0.889789	−	0.513720i
$573$	5.48323	+	3.16574i	0.229065	+	0.132251i
$574$	4.19834	−	1.12494i	0.175236	−	0.0469542i
$575$	9.73430	−	27.4947i	0.405948	−	1.14661i
$576$	17.1369	−	9.89399i	0.714037	−	0.412250i
$577$	−3.91171	+	2.25843i	−0.162847	+	0.0940195i	−0.579208	−	0.815179i	$-0.696638\pi$
$577$	−3.91171	+	2.25843i	−0.162847	+	0.0940195i	0.416362	+	0.909199i	$0.363305\pi$
$578$	−5.83478			−0.242695
$579$	−6.22659	−	23.2379i	−0.258768	−	0.965736i
$580$	21.5073	+	17.8862i	0.893043	+	0.742685i
$581$	4.95450			0.205547
$582$	8.98562	+	8.98562i	0.372466	+	0.372466i
$583$	−11.2403	−	3.01183i	−0.465526	−	0.124737i
$584$	−9.16564	+	9.16564i	−0.379277	+	0.379277i
$585$	−25.2122	−	35.6719i	−1.04240	−	1.47485i
$586$	5.83852	+	5.83852i	0.241187	+	0.241187i
$587$	−4.91907	+	8.52007i	−0.203032	+	0.351661i	−0.949504	−	0.313756i	$-0.898413\pi$
$587$	−4.91907	+	8.52007i	−0.203032	+	0.351661i	0.746472	+	0.665417i	$0.231746\pi$
$588$	21.5997	−	5.78762i	0.890756	−	0.238677i
$589$	8.20980	+	4.73993i	0.338279	+	0.195305i
$590$	−4.74365	+	5.70400i	−0.195293	+	0.234830i
$591$			6.00822i			0.247145i
$592$	−19.6491	−	3.01048i	−0.807574	−	0.123730i
$593$	30.7170	+	30.7170i	1.26139	+	1.26139i	0.950417	+	0.310977i	$0.100656\pi$
$593$	30.7170	+	30.7170i	1.26139	+	1.26139i	0.310977	+	0.950417i	$0.399344\pi$
$594$	1.90723	+	0.511040i	0.0782545	+	0.0209682i
$595$	2.35814	+	0.405122i	0.0966745	+	0.0166084i
$596$	−22.4484	−	12.9606i	−0.919524	−	0.530887i
$597$	41.6332	+	24.0369i	1.70393	+	0.983765i
$598$	10.4953			0.429186
$599$	19.3744	+	11.1858i	0.791617	+	0.457040i	0.840532	−	0.541763i	$-0.182243\pi$
$599$	19.3744	+	11.1858i	0.791617	+	0.457040i	−0.0489144	+	0.998803i	$0.515576\pi$
$600$	17.8230	+	1.40150i	0.727620	+	0.0572160i
$601$	−1.50390	−	2.60484i	−0.0613456	−	0.106254i	0.833722	−	0.552185i	$-0.186206\pi$
$601$	−1.50390	−	2.60484i	−0.0613456	−	0.106254i	−0.895067	+	0.445931i	$0.852872\pi$
$602$	−0.891218	+	0.891218i	−0.0363233	+	0.0363233i
$603$	−1.05598	+	1.05598i	−0.0430027	+	0.0430027i
$604$	−35.2201	+	20.3344i	−1.43309	+	0.827393i
$605$	−8.02050	+	5.66873i	−0.326080	+	0.230467i
$606$	−8.47780	−	8.47780i	−0.344387	−	0.344387i
$607$	8.11816	+	14.0611i	0.329506	+	0.570721i	0.982414	−	0.186716i	$-0.0597845\pi$
$607$	8.11816	+	14.0611i	0.329506	+	0.570721i	−0.652908	+	0.757437i	$0.726451\pi$
$608$	−4.79290	+	17.8873i	−0.194378	+	0.725427i
$609$	−7.04687	+	26.2993i	−0.285554	+	1.06570i
$610$	2.00547	+	0.344534i	0.0811993	+	0.0139498i
$611$	14.9093	+	55.6422i	0.603165	+	2.25104i
$612$	−2.46264	−	4.26542i	−0.0995464	−	0.172419i
$613$	−28.2800	−	7.57761i	−1.14222	−	0.306057i	−0.362377	−	0.932032i	$-0.618035\pi$
$613$	−28.2800	−	7.57761i	−1.14222	−	0.306057i	−0.779843	+	0.625975i	$0.784701\pi$
$614$	−0.344943	+	1.28735i	−0.0139208	+	0.0519531i
$615$	15.9544	+	43.2417i	0.643342	+	1.74368i
$616$	−5.30370	+	1.42112i	−0.213692	+	0.0572586i
$617$	−6.12531	+	22.8600i	−0.246596	+	0.920307i	0.725979	+	0.687717i	$0.241387\pi$
$617$	−6.12531	+	22.8600i	−0.246596	+	0.920307i	−0.972575	+	0.232591i	$0.925280\pi$
$618$	−10.1594	−	10.1594i	−0.408673	−	0.408673i
$619$	−29.6822			−1.19303			−0.596514	−	0.802603i	$-0.703448\pi$
$619$	−29.6822			−1.19303			−0.596514	+	0.802603i	$0.703448\pi$
$620$	5.33873	−	6.41956i	0.214408	−	0.257816i
$621$	−8.97639	−	8.97639i	−0.360210	−	0.360210i
$622$	−3.06583	+	0.821485i	−0.122928	+	0.0329386i
$623$		−	24.6409i		−	0.987218i
$624$	−11.2694	−	42.0581i	−0.451138	−	1.68367i
$625$	−19.4308	−	15.7304i	−0.777230	−	0.629216i
$626$	−0.263785	+	0.456889i	−0.0105430	+	0.0182610i
$627$	27.7059	−	15.9960i	1.10647	−	0.638820i
$628$	12.7928	−	12.7928i	0.510488	−	0.510488i
$629$	−0.631253	+	4.12013i	−0.0251697	+	0.164280i
$630$	1.63504	+	4.43150i	0.0651414	+	0.176555i
$631$	2.72026	−	10.1521i	0.108292	−	0.404151i	−0.890406	−	0.455167i	$-0.849579\pi$
$631$	2.72026	−	10.1521i	0.108292	−	0.404151i	0.998698	+	0.0510167i	$0.0162462\pi$
$632$	−0.622512	+	0.166802i	−0.0247622	+	0.00663501i
$633$	12.8234	+	47.8575i	0.509683	+	1.90216i
$634$	−6.41174	+	1.71802i	−0.254643	+	0.0682313i
$635$	28.3438	−	10.4576i	1.12479	−	0.414999i
$636$	−11.0960	+	19.2189i	−0.439987	+	0.762080i
$637$		−	23.2515i		−	0.921257i
$638$	−1.56645	+	5.84606i	−0.0620163	+	0.231448i
$639$			0.533228i			0.0210942i
$640$	19.4970	+	8.98744i	0.770686	+	0.355260i
$641$	2.73142	+	4.73096i	0.107885	+	0.186862i	0.914913	−	0.403651i	$-0.132259\pi$
$641$	2.73142	+	4.73096i	0.107885	+	0.186862i	−0.807028	+	0.590513i	$0.798926\pi$
$642$	−12.4700	−	7.19953i	−0.492150	−	0.284143i
$643$		−	11.2760i		−	0.444683i	−0.974969	−	0.222341i	$-0.928630\pi$
$643$		−	11.2760i		−	0.444683i	0.974969	−	0.222341i	$-0.0713700\pi$
$644$	16.5012	+	4.42148i	0.650238	+	0.174231i
$645$	−10.2762	−	8.54601i	−0.404623	−	0.336499i
$646$	1.11240	+	0.298066i	0.0437666	+	0.0117272i
$647$	7.82906	−	13.5603i	0.307792	−	0.533112i	−0.670087	−	0.742283i	$-0.733743\pi$
$647$	7.82906	−	13.5603i	0.307792	−	0.533112i	0.977879	+	0.209171i	$0.0670765\pi$
$648$	−3.97328	+	6.88192i	−0.156085	+	0.270347i
$649$	23.3385	+	6.25354i	0.916117	+	0.245473i
$650$	3.00232	−	8.48010i	0.117761	−	0.332617i
$651$	7.84987	+	2.10337i	0.307661	+	0.0824375i
$652$		−	36.4786i		−	1.42861i
$653$	−22.6519	−	13.0781i	−0.886436	−	0.511784i	−0.0136613	−	0.999907i	$-0.504349\pi$
$653$	−22.6519	−	13.0781i	−0.886436	−	0.511784i	−0.872775	+	0.488122i	$0.837682\pi$
$654$	−7.86705	−	13.6261i	−0.307626	−	0.532824i
$655$	7.03508	+	19.0675i	0.274883	+	0.745027i
$656$			25.7704i			1.00617i
$657$	9.39946	−	35.0793i	0.366708	−	1.36857i
$658$		−	6.22902i		−	0.242832i
$659$	12.9748	−	22.4730i	0.505425	−	0.875422i	−0.494555	−	0.869146i	$-0.664669\pi$
$659$	12.9748	−	22.4730i	0.505425	−	0.875422i	0.999980	−	0.00627593i	$-0.00199770\pi$
$660$	−9.75346	−	26.4352i	−0.379653	−	1.02899i
$661$	20.5645	−	5.51024i	0.799866	−	0.214324i	0.164341	−	0.986404i	$-0.447450\pi$
$661$	20.5645	−	5.51024i	0.799866	−	0.214324i	0.635525	+	0.772080i	$0.280784\pi$
$662$	−0.349786	−	1.30542i	−0.0135948	−	0.0507366i
$663$	−8.81896	+	2.36303i	−0.342500	+	0.0917726i
$664$	1.12331	−	4.19226i	0.0435930	−	0.162691i
$665$	15.0982	+	6.95978i	0.585485	+	0.269889i
$666$	−7.66709	+	2.98763i	−0.297094	+	0.115768i
$667$	27.5145	−	27.5145i	1.06537	−	1.06537i
$668$	6.61295	−	3.81799i	0.255863	−	0.147722i
$669$	−23.3119	+	40.3774i	−0.901291	+	1.56108i
$670$	−0.303104	−	0.0520724i	−0.0117099	−	0.00201173i
$671$	−1.71525	−	6.40142i	−0.0662166	−	0.247124i
$672$			15.8752i			0.612399i
$673$	18.7193	−	5.01583i	0.721577	−	0.193346i	0.120702	−	0.992689i	$-0.461485\pi$
$673$	18.7193	−	5.01583i	0.721577	−	0.193346i	0.600875	+	0.799343i	$0.294819\pi$
$674$	−1.32742	−	1.32742i	−0.0511303	−	0.0511303i
$675$	−9.82063	+	4.68501i	−0.377996	+	0.180326i
$676$	−24.3461			−0.936388
$677$	−16.3844	−	16.3844i	−0.629705	−	0.629705i	0.318289	−	0.947994i	$-0.396892\pi$
$677$	−16.3844	−	16.3844i	−0.629705	−	0.629705i	−0.947994	+	0.318289i	$0.896892\pi$
$678$	2.36730	−	8.83489i	0.0909157	−	0.339302i
$679$	20.7744	−	5.56649i	0.797250	−	0.213622i
$680$	0.877447	−	1.90350i	0.0336485	−	0.0729958i
$681$	10.2183	−	38.1354i	0.391568	−	1.46135i
$682$	1.74495	+	0.467557i	0.0668175	+	0.0179037i
$683$	−3.75618	−	6.50589i	−0.143726	−	0.248941i	0.785171	−	0.619279i	$-0.212575\pi$
$683$	−3.75618	−	6.50589i	−0.143726	−	0.248941i	−0.928897	+	0.370338i	$0.879242\pi$
$684$	−8.85740	−	33.0563i	−0.338671	−	1.26394i
$685$	1.81905	−	10.5883i	0.0695022	−	0.404560i
$686$	−1.64933	+	6.15538i	−0.0629716	+	0.235013i
$687$	−14.0274	+	52.3511i	−0.535180	+	1.99732i
$688$	−3.73643	−	6.47168i	−0.142450	−	0.246730i
$689$	16.3166	+	16.3166i	0.621613	+	0.621613i
$690$	2.03768	−	11.8610i	0.0775733	−	0.451541i
$691$	−2.18961	+	1.26417i	−0.0832966	+	0.0480913i	−0.541070	−	0.840978i	$-0.681981\pi$
$691$	−2.18961	+	1.26417i	−0.0832966	+	0.0480913i	0.457773	+	0.889069i	$0.348647\pi$
$692$	−4.71077	+	4.71077i	−0.179077	+	0.179077i
$693$	10.8780	−	10.8780i	0.413221	−	0.413221i
$694$	−3.12056	−	5.40497i	−0.118455	−	0.205170i
$695$	20.8804	+	9.62514i	0.792038	+	0.365102i
$696$	20.6555	+	11.9254i	0.782943	+	0.452033i
$697$	5.40368			0.204679
$698$	4.58141	+	2.64508i	0.173409	+	0.100118i
$699$	0.198068	+	0.114355i	0.00749164	+	0.00432530i
$700$	8.29288	−	12.0679i	0.313441	−	0.456126i
$701$	2.22557	+	0.596340i	0.0840587	+	0.0225235i	0.300603	−	0.953749i	$-0.402812\pi$
$701$	2.22557	+	0.596340i	0.0840587	+	0.0225235i	−0.216545	+	0.976273i	$0.569479\pi$
$702$	−2.76856	−	2.76856i	−0.104493	−	0.104493i
$703$	−11.6461	+	26.5172i	−0.439242	+	1.00012i
$704$		−	13.2721i		−	0.500210i
$705$	65.7772	−	6.04629i	2.47731	−	0.227717i
$706$	3.60190	+	2.07956i	0.135559	+	0.0782651i
$707$	−19.6004	+	5.25190i	−0.737148	+	0.197518i
$708$	23.0390	−	39.9047i	0.865857	−	1.49971i
$709$	19.7666	+	19.7666i	0.742350	+	0.742350i	0.973030	−	0.230680i	$-0.0740949\pi$
$709$	19.7666	+	19.7666i	0.742350	+	0.742350i	−0.230680	+	0.973030i	$0.574095\pi$
$710$	−0.0896752	+	0.0633807i	−0.00336545	+	0.00237863i
$711$	1.27679	−	1.27679i	0.0478832	−	0.0478832i
$712$	−20.8500	−	5.58673i	−0.781385	−	0.209372i
$713$	−8.21261	−	8.21261i	−0.307565	−	0.307565i
$714$	0.987262			0.0369474
$715$	−29.1753	+	2.68182i	−1.09110	+	0.100294i
$716$	−3.52792	−	13.1664i	−0.131844	−	0.492050i
$717$	−39.5898			−1.47851
$718$	−1.08528	+	0.626586i	−0.0405022	+	0.0233840i
$719$	19.1043	−	11.0299i	0.712469	−	0.411344i	−0.0995054	−	0.995037i	$-0.531726\pi$
$719$	19.1043	−	11.0299i	0.712469	−	0.411344i	0.811975	+	0.583693i	$0.198393\pi$
$720$	−27.8885	+	2.56353i	−1.03934	+	0.0955372i
$721$	−23.4883	+	6.29366i	−0.874748	+	0.234388i
$722$	1.12190	+	0.647731i	0.0417529	+	0.0241060i
$723$	−28.3669	+	16.3777i	−1.05498	+	0.609092i
$724$	−8.74913	−	15.1539i	−0.325159	−	0.563191i
$725$	−14.3605	−	30.1023i	−0.533337	−	1.11797i
$726$	−2.86557	+	2.86557i	−0.106351	+	0.106351i
$727$	−17.8153	+	30.8570i	−0.660734	+	1.14442i	0.319689	+	0.947522i	$0.396421\pi$
$727$	−17.8153	+	30.8570i	−0.660734	+	1.14442i	−0.980423	+	0.196902i	$0.936912\pi$
$728$	10.5169	+	2.81800i	0.389783	+	0.104442i
$729$		−	39.3293i		−	1.45664i
$730$	7.01667	−	2.58885i	0.259699	−	0.0958178i
$731$	−1.35702	+	0.783473i	−0.0501910	+	0.0289778i
$732$	−12.6385			−0.467133
$733$	−3.83616	−	14.3167i	−0.141692	−	0.528801i	−0.999880	−	0.0154665i	$-0.995077\pi$
$733$	−3.83616	−	14.3167i	−0.141692	−	0.528801i	0.858189	−	0.513335i	$-0.171590\pi$
$734$	−1.46907	+	1.46907i	−0.0542242	+	0.0542242i
$735$	−26.2770	−	4.51431i	−0.969243	−	0.166513i
$736$	11.3440	−	19.6484i	0.418145	−	0.724249i
$737$	0.259241	+	0.967500i	0.00954926	+	0.0356383i
$738$	5.33381	+	9.23843i	0.196340	+	0.340071i
$739$	−2.13171			−0.0784161			−0.0392080	−	0.999231i	$-0.512484\pi$
$739$	−2.13171			−0.0784161			−0.0392080	+	0.999231i	$0.512484\pi$
$740$	21.2812	+	14.0637i	0.782312	+	0.516991i
$741$	−63.4384			−2.33047
$742$	−1.24760	−	2.16090i	−0.0458007	−	0.0793291i
$743$	−0.996243	−	3.71803i	−0.0365486	−	0.136401i	0.945241	−	0.326374i	$-0.105827\pi$
$743$	−0.996243	−	3.71803i	−0.0365486	−	0.136401i	−0.981789	+	0.189972i	$0.939160\pi$
$744$	3.55954	−	6.16530i	0.130499	−	0.226031i
$745$	17.8381	+	25.2386i	0.653539	+	0.924671i
$746$	6.64733	−	6.64733i	0.243376	−	0.243376i
$747$	3.14724	+	11.7456i	0.115151	+	0.429751i
$748$	−3.30346			−0.120786
$749$	−21.1051	+	12.1850i	−0.771163	+	0.445231i
$750$	−9.00065	−	5.03942i	−0.328657	−	0.184014i
$751$		−	1.28407i		−	0.0468564i	−0.999726	−	0.0234282i	$-0.992542\pi$
$751$		−	1.28407i		−	0.0468564i	0.999726	−	0.0234282i	$-0.00745811\pi$
$752$	35.6739	+	9.55879i	1.30089	+	0.348573i
$753$	−1.42751	+	2.47252i	−0.0520213	+	0.0901035i
$754$	8.48623	−	8.48623i	0.309050	−	0.309050i
$755$	48.2861	−	4.43850i	1.75731	−	0.161533i
$756$	−3.18651	−	5.51919i	−0.115892	−	0.200731i
$757$	12.0110	−	6.93453i	0.436546	−	0.252040i	−0.265586	−	0.964087i	$-0.585565\pi$
$757$	12.0110	−	6.93453i	0.436546	−	0.252040i	0.702131	+	0.712047i	$0.252232\pi$
$758$	−7.59101	−	4.38267i	−0.275718	−	0.159186i
$759$	−37.8600	+	10.1446i	−1.37423	+	0.368224i
$760$	9.31219	−	11.1974i	0.337788	−	0.406174i
$761$	9.48381	−	5.47548i	0.343788	−	0.198486i	−0.318158	−	0.948038i	$-0.603064\pi$
$761$	9.48381	−	5.47548i	0.343788	−	0.198486i	0.661946	+	0.749552i	$0.269731\pi$
$762$	10.7956	−	6.23286i	0.391085	−	0.225793i
$763$	−26.6296			−0.964055
$764$	−1.17573	−	4.38788i	−0.0425364	−	0.158748i
$765$	0.537535	+	5.84780i	0.0194346	+	0.211428i
$766$	0.340843			0.0123152
$767$	−33.8785	−	33.8785i	−1.22328	−	1.22328i
$768$	−17.5158	−	4.69335i	−0.632048	−	0.169357i
$769$	−9.51657	+	9.51657i	−0.343176	+	0.343176i	−0.857560	−	0.514384i	$-0.828021\pi$
$769$	−9.51657	+	9.51657i	−0.343176	+	0.343176i	0.514384	+	0.857560i	$0.328021\pi$
$770$	3.12238	+	0.536416i	0.112523	+	0.0193311i
$771$	0.835940	+	0.835940i	0.0301057	+	0.0301057i
$772$	−8.63037	+	14.9482i	−0.310614	+	0.537999i
$773$	1.38284	−	0.370532i	0.0497374	−	0.0133271i	−0.233865	−	0.972269i	$-0.575137\pi$
$773$	1.38284	−	0.370532i	0.0497374	−	0.0133271i	0.283602	+	0.958942i	$0.408471\pi$
$774$	−2.67894	−	1.54669i	−0.0962925	−	0.0555945i
$775$	−8.98502	+	4.28637i	−0.322751	+	0.153971i
$776$		−	18.8404i		−	0.676331i
$777$	−3.76010	+	24.5418i	−0.134893	+	0.880433i
$778$	−4.43672	−	4.43672i	−0.159064	−	0.159064i
$779$	36.2670	+	9.71772i	1.29940	+	0.348174i
$780$	−9.46032	+	55.0669i	−0.338734	+	1.97171i
$781$	0.309728	+	0.178822i	0.0110830	+	0.00639875i
$782$	−1.22191	−	0.705472i	−0.0436955	−	0.0252276i
$783$	−14.5161			−0.518764
$784$	−12.9100	−	7.45361i	−0.461073	−	0.266200i
$785$	−20.2374	+	7.46674i	−0.722304	+	0.266499i
$786$	4.19298	+	7.26245i	0.149559	+	0.259043i
$787$	2.47029	−	2.47029i	0.0880563	−	0.0880563i	−0.661707	−	0.749763i	$-0.730168\pi$
$787$	2.47029	−	2.47029i	0.0880563	−	0.0880563i	0.749763	+	0.661707i	$0.230168\pi$
$788$	3.04815	−	3.04815i	0.108586	−	0.108586i
$789$	34.1218	−	19.7003i	1.21477	−	0.701348i
$790$	0.366484	+	0.0629609i	0.0130389	+	0.00224005i
$791$	−10.9462	−	10.9462i	−0.389203	−	0.389203i
$792$	−6.73811	−	11.6708i	−0.239428	−	0.414702i
$793$	−3.40125	+	12.6936i	−0.120782	+	0.450764i
$794$	−3.17095	+	11.8342i	−0.112533	+	0.419979i
$795$	21.6077	−	15.2719i	0.766345	−	0.541638i
$796$	−8.92710	−	33.3164i	−0.316413	−	1.18087i
$797$	11.9004	+	20.6121i	0.421534	+	0.730119i	0.996090	−	0.0883467i	$-0.0281583\pi$
$797$	11.9004	+	20.6121i	0.421534	+	0.730119i	−0.574555	+	0.818466i	$0.694825\pi$
$798$	6.62606	+	1.77545i	0.234560	+	0.0628501i
$799$	2.00434	−	7.48029i	0.0709083	−	0.264634i
$800$	−12.6306	−	14.7865i	−0.446558	−	0.522782i
$801$	58.4163	−	15.6526i	2.06404	−	0.553057i
$802$	1.58085	−	5.89980i	0.0558217	−	0.208329i
$803$	−17.2238	−	17.2238i	−0.607815	−	0.607815i
$804$	1.91016			0.0673663
$805$	−15.6606	−	13.0239i	−0.551964	−	0.459033i
$806$	−2.53299	−	2.53299i	−0.0892208	−	0.0892208i
$807$	44.8395	−	12.0147i	1.57842	−	0.422938i
$808$			17.7756i			0.625344i
$809$	1.72550	+	6.43967i	0.0606655	+	0.226407i	0.989602	−	0.143832i	$-0.0459425\pi$
$809$	1.72550	+	6.43967i	0.0606655	+	0.226407i	−0.928937	+	0.370239i	$0.879276\pi$
$810$	3.74427	−	2.64638i	0.131560	−	0.0929843i
$811$	22.7108	−	39.3363i	0.797486	−	1.38129i	−0.123763	−	0.992312i	$-0.539496\pi$
$811$	22.7108	−	39.3363i	0.797486	−	1.38129i	0.921249	−	0.388974i	$-0.127170\pi$
$812$	16.9175	−	9.76732i	0.593688	−	0.342766i
$813$	−20.1662	+	20.1662i	−0.707258	+	0.707258i
$814$	−0.835833	+	5.45540i	−0.0292959	+	0.191212i
$815$	−18.2078	+	39.4991i	−0.637790	+	1.38359i
$816$	−1.51501	+	5.65410i	−0.0530360	+	0.197933i
$817$	−10.5166	+	2.81792i	−0.367931	+	0.0985867i
$818$	−3.10060	−	11.5716i	−0.108410	−	0.404591i
$819$	−29.4658	+	7.89532i	−1.02962	+	0.275885i
$820$	13.8437	−	30.0319i	0.483443	−	1.04876i
$821$	9.75300	−	16.8927i	0.340382	−	0.589559i	−0.644122	−	0.764923i	$-0.722777\pi$
$821$	9.75300	−	16.8927i	0.340382	−	0.589559i	0.984504	+	0.175364i	$0.0561103\pi$
$822$		−	4.43292i		−	0.154616i
$823$	−6.09277	+	22.7385i	−0.212381	+	0.792616i	0.774691	+	0.632339i	$0.217905\pi$
$823$	−6.09277	+	22.7385i	−0.212381	+	0.792616i	−0.987072	+	0.160276i	$0.948761\pi$
$824$			21.3016i			0.742075i
$825$	−2.63366	+	33.4924i	−0.0916921	+	1.16606i
$826$	2.59041	+	4.48672i	0.0901319	+	0.156113i
$827$	23.6954	+	13.6805i	0.823970	+	0.475719i	0.851783	−	0.523894i	$-0.175521\pi$
$827$	23.6954	+	13.6805i	0.823970	+	0.475719i	−0.0278138	+	0.999613i	$0.508855\pi$
$828$			41.9280i			1.45710i
$829$	−29.7958	−	7.98376i	−1.03485	−	0.277287i	−0.298873	−	0.954293i	$-0.596611\pi$
$829$	−29.7958	−	7.98376i	−1.03485	−	0.277287i	−0.735978	+	0.677006i	$0.763277\pi$
$830$	−1.60123	+	1.92540i	−0.0555794	+	0.0668316i
$831$	32.4956	+	8.70717i	1.12726	+	0.302048i
$832$	−13.1589	+	22.7919i	−0.456202	+	0.790165i
$833$	−1.56291	+	2.70704i	−0.0541517	+	0.0937935i
$834$	9.16362	+	2.45539i	0.317310	+	0.0850231i
$835$	−9.06622	+	0.833374i	−0.313749	+	0.0288401i
$836$	−22.1713	−	5.94079i	−0.766811	−	0.205466i
$837$			4.33281i			0.149764i
$838$	−6.45223	−	3.72520i	−0.222889	−	0.128685i
$839$	−20.9908	−	36.3572i	−0.724684	−	1.25519i	−0.959104	−	0.283054i	$-0.908652\pi$
$839$	−20.9908	−	36.3572i	−0.724684	−	1.25519i	0.234420	−	0.972135i	$-0.424681\pi$
$840$	5.22657	−	11.3383i	0.180334	−	0.391209i
$841$		−	15.4950i		−	0.534311i
$842$	−2.81622	+	10.5103i	−0.0970534	+	0.362208i
$843$		−	67.7886i		−	2.33476i
$844$	17.7738	−	30.7852i	0.611801	−	1.05967i
$845$	26.3620	+	12.1520i	0.906881	+	0.418041i
$846$	14.7671	−	3.95684i	0.507705	−	0.136039i
$847$	1.77519	+	6.62510i	0.0609963	+	0.227641i
$848$	14.2901	−	3.82902i	0.490724	−	0.131489i
$849$	−3.44415	+	12.8538i	−0.118203	+	0.441140i
$850$	−0.919558	+	0.785483i	−0.0315406	+	0.0269418i
$851$	22.1907	−	27.6880i	0.760689	−	0.949133i
$852$	0.482280	−	0.482280i	0.0165226	−	0.0165226i
$853$	−12.7309	+	7.35019i	−0.435898	+	0.251666i	−0.701856	−	0.712319i	$-0.747645\pi$
$853$	−12.7309	+	7.35019i	−0.435898	+	0.251666i	0.265958	+	0.963985i	$0.414312\pi$
$854$	0.710512	−	1.23064i	0.0243132	−	0.0421117i
$855$	−6.90873	+	40.2145i	−0.236274	+	1.37531i
$856$	5.52532	+	20.6208i	0.188852	+	0.704804i
$857$			39.5459i			1.35086i	0.737424	+	0.675431i	$0.236042\pi$
$857$			39.5459i			1.35086i	−0.737424	+	0.675431i	$0.763958\pi$
$858$	−11.6770	+	3.12885i	−0.398648	+	0.106817i
$859$	−12.0746	−	12.0746i	−0.411980	−	0.411980i	0.470448	−	0.882428i	$-0.344092\pi$
$859$	−12.0746	−	12.0746i	−0.411980	−	0.411980i	−0.882428	+	0.470448i	$0.844092\pi$
$860$	0.877757	+	9.54905i	0.0299313	+	0.325620i
$861$	32.1874			1.09694
$862$	8.00953	+	8.00953i	0.272806	+	0.272806i
$863$	0.722557	−	2.69662i	0.0245961	−	0.0917940i	−0.952537	−	0.304424i	$-0.901536\pi$
$863$	0.722557	−	2.69662i	0.0245961	−	0.0917940i	0.977133	+	0.212630i	$0.0682028\pi$
$864$	−8.17548	+	2.19061i	−0.278136	+	0.0745262i
$865$	7.45214	−	2.74952i	0.253381	−	0.0934866i
$866$	−0.852328	+	3.18093i	−0.0289633	+	0.108092i
$867$	−41.7368	−	11.1833i	−1.41746	−	0.379806i
$868$	−2.91537	−	5.04958i	−0.0989543	−	0.171394i
$869$	−0.313449	−	1.16981i	−0.0106330	−	0.0396830i
$870$	−7.94287	−	11.2381i	−0.269288	−	0.381007i
$871$	0.514060	−	1.91850i	0.0174182	−	0.0650058i
$872$	−6.03761	+	22.5327i	−0.204459	+	0.763052i
$873$	26.3930	+	45.7140i	0.893268	+	1.54719i
$874$	−6.93224	−	6.93224i	−0.234487	−	0.234487i
$875$	−15.0031	+	8.92794i	−0.507197	+	0.301820i
$876$	−40.2289	+	23.2262i	−1.35921	+	0.784740i
$877$	19.2511	−	19.2511i	0.650064	−	0.650064i	−0.302944	−	0.953008i	$-0.597970\pi$
$877$	19.2511	−	19.2511i	0.650064	−	0.650064i	0.953008	+	0.302944i	$0.0979695\pi$
$878$	−1.76713	+	1.76713i	−0.0596378	+	0.0596378i
$879$	30.5730	+	52.9541i	1.03120	+	1.78610i
$880$	−7.86356	+	17.0589i	−0.265081	+	0.575055i
$881$	43.1969	+	24.9397i	1.45534	+	0.840241i	0.998777	−	0.0494498i	$-0.0157468\pi$
$881$	43.1969	+	24.9397i	1.45534	+	0.840241i	0.456564	+	0.889691i	$0.349080\pi$
$882$	−6.17082			−0.207782
$883$	39.5424	+	22.8298i	1.33071	+	0.768285i	0.985408	−	0.170207i	$-0.0544438\pi$
$883$	39.5424	+	22.8298i	1.33071	+	0.768285i	0.345300	+	0.938492i	$0.387777\pi$
$884$	5.67296	+	3.27528i	0.190802	+	0.110160i
$885$	−44.8645	+	31.7093i	−1.50810	+	1.06590i
$886$	−9.01672	−	2.41602i	−0.302923	−	0.0811679i
$887$	−4.12526	−	4.12526i	−0.138513	−	0.138513i	0.634451	−	0.772963i	$-0.281226\pi$
$887$	−4.12526	−	4.12526i	−0.138513	−	0.138513i	−0.772963	+	0.634451i	$0.781226\pi$
$888$	19.9136	+	8.74588i	0.668256	+	0.293492i
$889$		−	21.0979i		−	0.707602i
$890$	9.57586	+	7.96362i	0.320984	+	0.266941i
$891$	−12.9323	−	7.46647i	−0.433249	−	0.250136i
$892$	32.3115	−	8.65784i	1.08187	−	0.289886i
$893$	26.9044	−	46.5998i	0.900322	−	1.55940i
$894$	9.01727	+	9.01727i	0.301583	+	0.301583i
$895$	−2.75176	+	16.0175i	−0.0919811	+	0.535406i
$896$	10.6013	−	10.6013i	0.354165	−	0.354165i
$897$	75.0742	+	20.1161i	2.50665	+	0.671656i
$898$	3.63243	+	3.63243i	0.121216	+	0.121216i
$899$	−13.2810			−0.442946
$900$	33.8774	+	11.9941i	1.12925	+	0.399802i
$901$	−0.802889	−	2.99642i	−0.0267481	−	0.0998253i
$902$	7.15492			0.238233
$903$	−8.08315	+	4.66681i	−0.268990	+	0.155302i
$904$	−11.7440	+	6.78038i	−0.390598	+	0.225512i
$905$	1.90972	+	20.7757i	0.0634813	+	0.690608i
$906$	19.3259	−	5.17835i	0.642058	−	0.172039i
$907$	3.56252	+	2.05682i	0.118292	+	0.0682957i	0.557978	−	0.829855i	$-0.311577\pi$
$907$	3.56252	+	2.05682i	0.118292	+	0.0682957i	−0.439687	+	0.898151i	$0.644911\pi$
$908$	−24.5313	+	14.1632i	−0.814100	+	0.470021i
$909$	−24.9014	−	43.1305i	−0.825927	−	1.43055i
$910$	−4.83016	−	4.01693i	−0.160118	−	0.133160i
$911$	23.6772	−	23.6772i	0.784460	−	0.784460i	−0.196120	−	0.980580i	$-0.562834\pi$
$911$	23.6772	−	23.6772i	0.784460	−	0.784460i	0.980580	+	0.196120i	$0.0628341\pi$
$912$	−20.3361	+	35.2232i	−0.673397	+	1.16636i
$913$	7.87797	+	2.11090i	0.260723	+	0.0698605i
$914$		−	6.09435i		−	0.201583i
$915$	13.6850	+	6.30832i	0.452413	+	0.208547i
$916$	33.6758	−	19.4427i	1.11268	−	0.642406i
$917$	14.1930			0.468695
$918$	0.136232	+	0.508425i	0.00449633	+	0.0167805i
$919$	−37.5747	+	37.5747i	−1.23947	+	1.23947i	−0.279258	+	0.960216i	$0.590088\pi$
$919$	−37.5747	+	37.5747i	−1.23947	+	1.23947i	−0.960216	+	0.279258i	$0.909912\pi$
$920$	−14.5709	+	10.2984i	−0.480387	+	0.339528i
$921$	−4.93484	+	8.54739i	−0.162608	+	0.281646i
$922$	−1.21233	−	4.52447i	−0.0399259	−	0.149006i
$923$	−0.354593	−	0.614173i	−0.0116716	−	0.0202158i
$924$	−19.6773			−0.647334
$925$	−16.0237	−	25.8504i	−0.526854	−	0.849956i
$926$	8.42952			0.277011
$927$	−29.8408	−	51.6857i	−0.980100	−	1.69758i
$928$	−6.71470	−	25.0596i	−0.220421	−	0.822622i
$929$	−1.68883	+	2.92515i	−0.0554088	+	0.0959709i	−0.892399	−	0.451246i	$-0.850980\pi$
$929$	−1.68883	+	2.92515i	−0.0554088	+	0.0959709i	0.836991	+	0.547217i	$0.184313\pi$
$930$	−3.35438	+	2.37081i	−0.109994	+	0.0777418i
$931$	−15.3578	+	15.3578i	−0.503331	+	0.503331i
$932$	−0.0424704	−	0.158502i	−0.00139116	−	0.00519189i
$933$	−23.5047			−0.769509
$934$	−6.24385	+	3.60489i	−0.204305	+	0.117956i
$935$	3.57699	+	1.64887i	0.116980	+	0.0539239i
$936$			26.7226i			0.873455i
$937$	50.7787	+	13.6061i	1.65887	+	0.444492i	0.962076	−	0.272783i	$-0.0879440\pi$
$937$	50.7787	+	13.6061i	1.65887	+	0.444492i	0.696791	+	0.717275i	$0.254611\pi$
$938$	−0.107386	+	0.185997i	−0.00350627	+	0.00607303i
$939$	−2.76259	+	2.76259i	−0.0901537	+	0.0901537i
$940$	−36.4382	−	30.3033i	−1.18848	−	0.988383i
$941$	15.5502	+	26.9338i	0.506924	+	0.878017i	0.999968	+	0.00801323i	$0.00255072\pi$
$941$	15.5502	+	26.9338i	0.506924	+	0.878017i	−0.493044	+	0.870004i	$0.664116\pi$
$942$	−7.70806	+	4.45025i	−0.251142	+	0.144997i
$943$	−39.8376	−	23.0003i	−1.29729	−	0.748991i
$944$	−29.6708	+	7.95028i	−0.965703	+	0.258759i
$945$	0.695537	+	7.56669i	0.0226258	+	0.246145i
$946$	−1.79680	+	1.03738i	−0.0584191	+	0.0337283i
$947$	−19.6619	+	11.3518i	−0.638926	+	0.368884i	−0.784201	−	0.620507i	$-0.786927\pi$
$947$	−19.6619	+	11.3518i	−0.638926	+	0.368884i	0.145275	+	0.989391i	$0.453593\pi$
$948$	−2.30958			−0.0750118
$949$	12.5012	+	46.6550i	0.405805	+	1.51448i
$950$	−7.58423	+	3.61812i	−0.246065	+	0.117387i
$951$	−49.1568			−1.59402
$952$	−1.03501	−	1.03501i	−0.0335448	−	0.0335448i
$953$	16.2177	+	4.34551i	0.525342	+	0.140765i	0.511736	−	0.859142i	$-0.329002\pi$
$953$	16.2177	+	4.34551i	0.525342	+	0.140765i	0.0136055	+	0.999907i	$0.495669\pi$
$954$	4.33034	−	4.33034i	0.140200	−	0.140200i
$955$	−0.917063	+	5.33806i	−0.0296754	+	0.172736i
$956$	20.0851	+	20.0851i	0.649598	+	0.649598i
$957$	−22.4099	+	38.8152i	−0.724410	+	1.25472i
$958$	4.63181	−	1.24109i	0.149647	−	0.0400978i
$959$	−6.49745	−	3.75131i	−0.209814	−	0.121136i
$960$	23.2028	+	19.2962i	0.748867	+	0.622783i
$961$		−	27.0359i		−	0.872124i
$962$	6.84423	−	8.53973i	0.220667	−	0.275332i
$963$	−42.2936	−	42.2936i	−1.36289	−	1.36289i
$964$	22.7003	+	6.08252i	0.731126	+	0.195905i
$965$	16.8062	−	11.8783i	0.541010	−	0.382375i
$966$	−7.27841	−	4.20219i	−0.234179	−	0.135203i
$967$	−31.9542	−	18.4488i	−1.02758	−	0.593272i	−0.111288	−	0.993788i	$-0.535498\pi$
$967$	−31.9542	−	18.4488i	−1.02758	−	0.593272i	−0.916290	+	0.400516i	$0.868831\pi$
$968$	6.00832			0.193115
$969$	7.38579	+	4.26419i	0.237266	+	0.136986i
$970$	−4.55079	+	9.87230i	−0.146117	+	0.316980i
$971$	−11.0965	−	19.2197i	−0.356103	−	0.616788i	0.631203	−	0.775618i	$-0.282561\pi$
$971$	−11.0965	−	19.2197i	−0.356103	−	0.616788i	−0.987306	+	0.158829i	$0.949228\pi$
$972$	−28.7946	+	28.7946i	−0.923586	+	0.923586i
$973$	11.3535	−	11.3535i	0.363977	−	0.363977i
$974$	−9.45973	+	5.46158i	−0.303109	+	0.175000i
$975$	37.7295	−	54.9046i	1.20831	−	1.75835i
$976$	5.95763	+	5.95763i	0.190699	+	0.190699i
$977$	14.9026	+	25.8120i	0.476775	+	0.825798i	0.999646	−	0.0266135i	$-0.00847234\pi$
$977$	14.9026	+	25.8120i	0.476775	+	0.825798i	−0.522871	+	0.852412i	$0.675139\pi$
$978$	−4.64482	+	17.3347i	−0.148525	+	0.554303i
$979$	10.4984	−	39.1806i	0.335531	−	1.25222i
$980$	11.0409	+	15.6214i	0.352688	+	0.499006i
$981$	−16.9158	−	63.1308i	−0.540081	−	2.01561i
$982$	1.58846	+	2.75130i	0.0506899	+	0.0877975i
$983$	5.08418	+	1.36230i	0.162160	+	0.0434507i	0.338986	−	0.940792i	$-0.389916\pi$
$983$	5.08418	+	1.36230i	0.162160	+	0.0434507i	−0.176825	+	0.984242i	$0.556583\pi$
$984$	7.29770	−	27.2354i	0.232642	−	0.868233i
$985$	−4.82199	+	1.77911i	−0.153641	+	0.0566871i
$986$	−1.55843	+	0.417580i	−0.0496306	+	0.0132985i
$987$	11.9390	−	44.5568i	0.380021	−	1.41826i
$988$	32.1842	+	32.1842i	1.02392	+	1.02392i
$989$	13.3391			0.424160
$990$	0.711741	+	7.74298i	0.0226206	+	0.246088i
$991$	−12.3261	−	12.3261i	−0.391550	−	0.391550i	0.483690	−	0.875240i	$-0.339296\pi$
$991$	−12.3261	−	12.3261i	−0.391550	−	0.391550i	−0.875240	+	0.483690i	$0.839296\pi$
$992$	−7.47985	+	2.00422i	−0.237486	+	0.0636341i
$993$		−	10.0082i		−	0.317602i
$994$	0.0198480	+	0.0740736i	0.000629539	+	0.00234947i
$995$	−6.96309	+	40.5309i	−0.220745	+	1.28492i
$996$	7.77686	−	13.4699i	0.246419	−	0.426810i
$997$	−44.2707	+	25.5597i	−1.40207	+	0.809484i	−0.994605	−	0.103738i	$-0.966920\pi$
$997$	−44.2707	+	25.5597i	−1.40207	+	0.809484i	−0.407462	+	0.913222i	$0.633586\pi$
$998$	−10.9663	+	10.9663i	−0.347132	+	0.347132i
$999$	−13.1575	+	1.45012i	−0.416286	+	0.0458799i

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

)

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	185.2.p.a.103.10	yes	68
5.2	odd	4		185.2.u.a.177.8	yes	68
5.3	odd	4		925.2.y.b.732.10		68
5.4	even	2		925.2.t.b.843.8		68
37.23	odd	12		185.2.u.a.23.8	yes	68
185.23	even	12		925.2.t.b.282.8		68
185.97	even	12	inner	185.2.p.a.97.10	✓	68
185.134	odd	12		925.2.y.b.393.10		68

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
185.2.p.a.97.10	✓	68	185.97	even	12	inner
185.2.p.a.103.10	yes	68	1.1	even	1	trivial
185.2.u.a.23.8	yes	68	37.23	odd	12
185.2.u.a.177.8	yes	68	5.2	odd	4
925.2.t.b.282.8		68	185.23	even	12
925.2.t.b.843.8		68	5.4	even	2
925.2.y.b.393.10		68	185.134	odd	12
925.2.y.b.732.10		68	5.3	odd	4

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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

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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	185.2.p.a.103.10

Level	$185$
Weight	$2$
Character	185.103
Analytic conductor	$1.477$
Analytic rank	$0$
Dimension	$68$
Inner twists	$2$