LMFDB - Embedded newform 430.2.l.a.7.14

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [430,2,Mod(7,430)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(430, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([3, 10]))

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

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

chi := DirichletCharacter("430.7");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 430 = 2 \cdot 5 \cdot 43 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	430.l (of order $12$, degree $4$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$3.43356728692$
Analytic rank:	$0$
Dimension:	$88$
Relative dimension:	$22$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			7.14
Character	$\chi$	$=$	430.7
Dual form			430.2.l.a.123.14

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.707107 - 0.707107i) q^{2} +(-0.426111 + 1.59027i) q^{3} -1.00000i q^{4} +(1.81858 + 1.30107i) q^{5} +(0.823184 + 1.42580i) q^{6} +(-0.688340 - 2.56892i) q^{7} +(-0.707107 - 0.707107i) q^{8} +(0.250692 + 0.144737i) q^{9} +O(q^{10})$	\(q+(0.707107 - 0.707107i) q^{2} +(-0.426111 + 1.59027i) q^{3} -1.00000i q^{4} +(1.81858 + 1.30107i) q^{5} +(0.823184 + 1.42580i) q^{6} +(-0.688340 - 2.56892i) q^{7} +(-0.707107 - 0.707107i) q^{8} +(0.250692 + 0.144737i) q^{9} +(2.20592 - 0.365937i) q^{10} +3.06397 q^{11} +(1.59027 + 0.426111i) q^{12} +(0.921039 + 3.43736i) q^{13} +(-2.30323 - 1.32977i) q^{14} +(-2.84396 + 2.33763i) q^{15} -1.00000 q^{16} +(-0.454729 + 0.121844i) q^{17} +(0.279610 - 0.0749214i) q^{18} +(-0.854382 - 1.47983i) q^{19} +(1.30107 - 1.81858i) q^{20} +4.37858 q^{21} +(2.16655 - 2.16655i) q^{22} +(3.83948 + 1.02879i) q^{23} +(1.42580 - 0.823184i) q^{24} +(1.61446 + 4.73218i) q^{25} +(3.08186 + 1.77931i) q^{26} +(-3.82947 + 3.82947i) q^{27} +(-2.56892 + 0.688340i) q^{28} +(1.22904 - 2.12876i) q^{29} +(-0.358030 + 3.66394i) q^{30} +(2.06537 + 3.57733i) q^{31} +(-0.707107 + 0.707107i) q^{32} +(-1.30559 + 4.87254i) q^{33} +(-0.235385 + 0.407699i) q^{34} +(2.09053 - 5.56736i) q^{35} +(0.144737 - 0.250692i) q^{36} +(-4.10990 - 1.10124i) q^{37} +(-1.65054 - 0.442261i) q^{38} -5.85880 q^{39} +(-0.365937 - 2.20592i) q^{40} +1.14266 q^{41} +(3.09612 - 3.09612i) q^{42} +(-2.92610 - 5.86838i) q^{43} -3.06397i q^{44} +(0.267590 + 0.589382i) q^{45} +(3.44238 - 1.98746i) q^{46} +(-6.78460 - 6.78460i) q^{47} +(0.426111 - 1.59027i) q^{48} +(-0.0633553 + 0.0365782i) q^{49} +(4.48775 + 2.20456i) q^{50} -0.775061i q^{51} +(3.43736 - 0.921039i) q^{52} +(1.03326 + 0.276861i) q^{53} +5.41568i q^{54} +(5.57207 + 3.98643i) q^{55} +(-1.32977 + 2.30323i) q^{56} +(2.71739 - 0.728124i) q^{57} +(-0.636198 - 2.37432i) q^{58} -10.3670i q^{59} +(2.33763 + 2.84396i) q^{60} +(-6.72035 - 3.88000i) q^{61} +(3.98999 + 1.06912i) q^{62} +(0.199256 - 0.743635i) q^{63} +1.00000i q^{64} +(-2.79726 + 7.44945i) q^{65} +(2.52221 + 4.36860i) q^{66} +(1.52172 - 5.67915i) q^{67} +(0.121844 + 0.454729i) q^{68} +(-3.27209 + 5.66743i) q^{69} +(-2.45849 - 5.41495i) q^{70} +(-1.76901 - 1.02134i) q^{71} +(-0.0749214 - 0.279610i) q^{72} +(-14.4559 + 3.87344i) q^{73} +(-3.68483 + 2.12744i) q^{74} +(-8.21338 + 0.550983i) q^{75} +(-1.47983 + 0.854382i) q^{76} +(-2.10905 - 7.87109i) q^{77} +(-4.14280 + 4.14280i) q^{78} +(-3.98435 - 2.30036i) q^{79} +(-1.81858 - 1.30107i) q^{80} +(-4.02389 - 6.96958i) q^{81} +(0.807980 - 0.807980i) q^{82} +(-12.1090 - 3.24460i) q^{83} -4.37858i q^{84} +(-0.985489 - 0.370049i) q^{85} +(-6.21864 - 2.08050i) q^{86} +(2.86159 + 2.86159i) q^{87} +(-2.16655 - 2.16655i) q^{88} +(7.71600 + 13.3645i) q^{89} +(0.605971 + 0.227541i) q^{90} +(8.19632 - 4.73215i) q^{91} +(1.02879 - 3.83948i) q^{92} +(-6.56899 + 1.76016i) q^{93} -9.59488 q^{94} +(0.371599 - 3.80280i) q^{95} +(-0.823184 - 1.42580i) q^{96} +(3.69343 + 3.69343i) q^{97} +(-0.0189343 + 0.0706637i) q^{98} +(0.768113 + 0.443470i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 88 q + 4 q^{6} + 12 q^{7}+O(q^{10}) $ 88 * q + 4 * q^6 + 12 * q^7	$ 88 q + 4 q^{6} + 12 q^{7} + 16 q^{13} - 88 q^{16} + 4 q^{17} - 16 q^{21} + 12 q^{23} - 8 q^{25} + 12 q^{28} - 36 q^{30} - 40 q^{31} + 12 q^{33} - 40 q^{35} - 40 q^{36} + 16 q^{38} - 56 q^{41} - 56 q^{43} + 24 q^{46} + 72 q^{47} + 24 q^{50} - 16 q^{52} + 20 q^{53} + 24 q^{55} - 8 q^{56} + 20 q^{57} + 8 q^{60} + 72 q^{61} + 36 q^{62} - 40 q^{66} - 16 q^{67} + 4 q^{68} + 24 q^{71} + 60 q^{73} - 48 q^{76} - 48 q^{77} + 40 q^{78} + 28 q^{81} + 20 q^{86} - 64 q^{87} - 8 q^{90} + 48 q^{91} - 12 q^{92} - 108 q^{93} + 4 q^{95} - 4 q^{96} - 48 q^{97} - 96 q^{98}+O(q^{100}) $ 88 * q + 4 * q^6 + 12 * q^7 + 16 * q^13 - 88 * q^16 + 4 * q^17 - 16 * q^21 + 12 * q^23 - 8 * q^25 + 12 * q^28 - 36 * q^30 - 40 * q^31 + 12 * q^33 - 40 * q^35 - 40 * q^36 + 16 * q^38 - 56 * q^41 - 56 * q^43 + 24 * q^46 + 72 * q^47 + 24 * q^50 - 16 * q^52 + 20 * q^53 + 24 * q^55 - 8 * q^56 + 20 * q^57 + 8 * q^60 + 72 * q^61 + 36 * q^62 - 40 * q^66 - 16 * q^67 + 4 * q^68 + 24 * q^71 + 60 * q^73 - 48 * q^76 - 48 * q^77 + 40 * q^78 + 28 * q^81 + 20 * q^86 - 64 * q^87 - 8 * q^90 + 48 * q^91 - 12 * q^92 - 108 * q^93 + 4 * q^95 - 4 * q^96 - 48 * q^97 - 96 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/430\mathbb{Z}\right)^\times$.

$n$	$87$	$261$
$\chi(n)$	$e\left(\frac{1}{4}\right)$	$e\left(\frac{5}{6}\right)$

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 $

$2$	0.707107	−	0.707107i	0.500000	−	0.500000i
$2$	0.707107	−	0.707107i	0.500000	−	0.500000i
$3$	−0.426111	+	1.59027i	−0.246015	+	0.918142i	0.726855	+	0.686791i	$0.240981\pi$
$3$	−0.426111	+	1.59027i	−0.246015	+	0.918142i	−0.972870	+	0.231351i	$0.925685\pi$
$4$		−	1.00000i		−	0.500000i
$5$	1.81858	+	1.30107i	0.813293	+	0.581854i
$5$	1.81858	+	1.30107i	0.813293	+	0.581854i
$6$	0.823184	+	1.42580i	0.336063	+	0.582079i
$7$	−0.688340	−	2.56892i	−0.260168	−	0.970960i	−0.965142	−	0.261727i	$-0.915708\pi$
$7$	−0.688340	−	2.56892i	−0.260168	−	0.970960i	0.704974	−	0.709233i	$-0.250959\pi$
$8$	−0.707107	−	0.707107i	−0.250000	−	0.250000i
$9$	0.250692	+	0.144737i	0.0835639	+	0.0482457i
$10$	2.20592	−	0.365937i	0.697574	−	0.115719i
$11$	3.06397			0.923822			0.461911	−	0.886926i	$-0.347164\pi$
$11$	3.06397			0.923822			0.461911	+	0.886926i	$0.347164\pi$
$12$	1.59027	+	0.426111i	0.459071	+	0.123008i
$13$	0.921039	+	3.43736i	0.255450	+	0.953353i	0.967839	+	0.251569i	$0.0809465\pi$
$13$	0.921039	+	3.43736i	0.255450	+	0.953353i	−0.712389	+	0.701785i	$0.752387\pi$
$14$	−2.30323	−	1.32977i	−0.615564	−	0.355396i
$15$	−2.84396	+	2.33763i	−0.734308	+	0.603573i
$16$	−1.00000			−0.250000
$17$	−0.454729	+	0.121844i	−0.110288	+	0.0295516i	−0.313541	−	0.949575i	$-0.601515\pi$
$17$	−0.454729	+	0.121844i	−0.110288	+	0.0295516i	0.203253	+	0.979126i	$0.434849\pi$
$18$	0.279610	−	0.0749214i	0.0659048	−	0.0176591i
$19$	−0.854382	−	1.47983i	−0.196009	−	0.339497i	0.751222	−	0.660050i	$-0.229465\pi$
$19$	−0.854382	−	1.47983i	−0.196009	−	0.339497i	−0.947231	+	0.320553i	$0.896131\pi$
$20$	1.30107	−	1.81858i	0.290927	−	0.406647i
$21$	4.37858			0.955485
$22$	2.16655	−	2.16655i	0.461911	−	0.461911i
$23$	3.83948	+	1.02879i	0.800587	+	0.214517i	0.635842	−	0.771820i	$-0.280653\pi$
$23$	3.83948	+	1.02879i	0.800587	+	0.214517i	0.164745	+	0.986336i	$0.447320\pi$
$24$	1.42580	−	0.823184i	0.291039	−	0.168032i
$25$	1.61446	+	4.73218i	0.322891	+	0.946436i
$26$	3.08186	+	1.77931i	0.604402	+	0.348952i
$27$	−3.82947	+	3.82947i	−0.736981	+	0.736981i
$28$	−2.56892	+	0.688340i	−0.485480	+	0.130084i
$29$	1.22904	−	2.12876i	0.228227	−	0.395301i	−0.729056	−	0.684454i	$-0.760041\pi$
$29$	1.22904	−	2.12876i	0.228227	−	0.395301i	0.957283	+	0.289154i	$0.0933739\pi$
$30$	−0.358030	+	3.66394i	−0.0653671	+	0.668941i
$31$	2.06537	+	3.57733i	0.370952	+	0.642507i	0.989712	−	0.143072i	$-0.0456982\pi$
$31$	2.06537	+	3.57733i	0.370952	+	0.642507i	−0.618760	+	0.785580i	$0.712365\pi$
$32$	−0.707107	+	0.707107i	−0.125000	+	0.125000i
$33$	−1.30559	+	4.87254i	−0.227275	+	0.848200i
$34$	−0.235385	+	0.407699i	−0.0403682	+	0.0699198i
$35$	2.09053	−	5.56736i	0.353365	−	0.941055i
$36$	0.144737	−	0.250692i	0.0241228	−	0.0417820i
$37$	−4.10990	−	1.10124i	−0.675663	−	0.181043i	−0.0953584	−	0.995443i	$-0.530400\pi$
$37$	−4.10990	−	1.10124i	−0.675663	−	0.181043i	−0.580304	+	0.814400i	$0.697066\pi$
$38$	−1.65054	−	0.442261i	−0.267753	−	0.0717441i
$39$	−5.85880			−0.938159
$40$	−0.365937	−	2.20592i	−0.0578597	−	0.348787i
$41$	1.14266			0.178453			0.0892265	−	0.996011i	$-0.471561\pi$
$41$	1.14266			0.178453			0.0892265	+	0.996011i	$0.471561\pi$
$42$	3.09612	−	3.09612i	0.477742	−	0.477742i
$43$	−2.92610	−	5.86838i	−0.446227	−	0.894920i
$43$	−2.92610	−	5.86838i	−0.446227	−	0.894920i
$44$		−	3.06397i		−	0.461911i
$45$	0.267590	+	0.589382i	0.0398900	+	0.0878599i
$46$	3.44238	−	1.98746i	0.507552	−	0.293035i
$47$	−6.78460	−	6.78460i	−0.989636	−	0.989636i	0.0103110	−	0.999947i	$-0.496718\pi$
$47$	−6.78460	−	6.78460i	−0.989636	−	0.989636i	−0.999947	+	0.0103110i	$0.996718\pi$
$48$	0.426111	−	1.59027i	0.0615039	−	0.229536i
$49$	−0.0633553	+	0.0365782i	−0.00905076	+	0.00522546i
$50$	4.48775	+	2.20456i	0.634664	+	0.311772i
$51$		−	0.775061i		−	0.108530i
$52$	3.43736	−	0.921039i	0.476677	−	0.127725i
$53$	1.03326	+	0.276861i	0.141929	+	0.0380298i	0.329084	−	0.944301i	$-0.393260\pi$
$53$	1.03326	+	0.276861i	0.141929	+	0.0380298i	−0.187155	+	0.982330i	$0.559927\pi$
$54$			5.41568i			0.736981i
$55$	5.57207	+	3.98643i	0.751338	+	0.537530i
$56$	−1.32977	+	2.30323i	−0.177698	+	0.307782i
$57$	2.71739	−	0.728124i	0.359928	−	0.0964423i
$58$	−0.636198	−	2.37432i	−0.0835368	−	0.311764i
$59$		−	10.3670i		−	1.34967i	−0.737968	−	0.674836i	$-0.764215\pi$
$59$		−	10.3670i		−	1.34967i	0.737968	−	0.674836i	$-0.235785\pi$
$60$	2.33763	+	2.84396i	0.301787	+	0.367154i
$61$	−6.72035	−	3.88000i	−0.860453	−	0.496783i	0.00371087	−	0.999993i	$-0.498819\pi$
$61$	−6.72035	−	3.88000i	−0.860453	−	0.496783i	−0.864164	+	0.503210i	$0.832152\pi$
$62$	3.98999	+	1.06912i	0.506729	+	0.135778i
$63$	0.199256	−	0.743635i	0.0251040	−	0.0936892i
$64$			1.00000i			0.125000i
$65$	−2.79726	+	7.44945i	−0.346957	+	0.923990i
$66$	2.52221	+	4.36860i	0.310463	+	0.537737i
$67$	1.52172	−	5.67915i	0.185908	−	0.693818i	−0.808526	−	0.588460i	$-0.799734\pi$
$67$	1.52172	−	5.67915i	0.185908	−	0.693818i	0.994434	−	0.105358i	$-0.0335989\pi$
$68$	0.121844	+	0.454729i	0.0147758	+	0.0551440i
$69$	−3.27209	+	5.66743i	−0.393913	+	0.682278i
$70$	−2.45849	−	5.41495i	−0.293845	−	0.647210i
$71$	−1.76901	−	1.02134i	−0.209943	−	0.121211i	0.391342	−	0.920245i	$-0.372011\pi$
$71$	−1.76901	−	1.02134i	−0.209943	−	0.121211i	−0.601285	+	0.799035i	$0.705344\pi$
$72$	−0.0749214	−	0.279610i	−0.00882957	−	0.0329524i
$73$	−14.4559	+	3.87344i	−1.69193	+	0.453352i	−0.970887	−	0.239538i	$-0.923004\pi$
$73$	−14.4559	+	3.87344i	−1.69193	+	0.453352i	−0.721044	+	0.692889i	$0.756337\pi$
$74$	−3.68483	+	2.12744i	−0.428353	+	0.247310i
$75$	−8.21338	+	0.550983i	−0.948399	+	0.0636220i
$76$	−1.47983	+	0.854382i	−0.169748	+	0.0980043i
$77$	−2.10905	−	7.87109i	−0.240349	−	0.896994i
$78$	−4.14280	+	4.14280i	−0.469079	+	0.469079i
$79$	−3.98435	−	2.30036i	−0.448274	−	0.258811i	0.258827	−	0.965924i	$-0.416664\pi$
$79$	−3.98435	−	2.30036i	−0.448274	−	0.258811i	−0.707101	+	0.707113i	$0.749997\pi$
$80$	−1.81858	−	1.30107i	−0.203323	−	0.145464i
$81$	−4.02389	−	6.96958i	−0.447099	−	0.774398i
$82$	0.807980	−	0.807980i	0.0892265	−	0.0892265i
$83$	−12.1090	−	3.24460i	−1.32914	−	0.356142i	−0.476745	−	0.879042i	$-0.658183\pi$
$83$	−12.1090	−	3.24460i	−1.32914	−	0.356142i	−0.852394	+	0.522900i	$0.824850\pi$
$84$		−	4.37858i		−	0.477742i
$85$	−0.985489	−	0.370049i	−0.106891	−	0.0401375i
$86$	−6.21864	−	2.08050i	−0.670573	−	0.224347i
$87$	2.86159	+	2.86159i	0.306795	+	0.306795i
$88$	−2.16655	−	2.16655i	−0.230956	−	0.230956i
$89$	7.71600	+	13.3645i	0.817894	+	1.41663i	0.907231	+	0.420633i	$0.138192\pi$
$89$	7.71600	+	13.3645i	0.817894	+	1.41663i	−0.0893363	+	0.996002i	$0.528475\pi$
$90$	0.605971	+	0.227541i	0.0638750	+	0.0239849i
$91$	8.19632	−	4.73215i	0.859208	−	0.496064i
$92$	1.02879	−	3.83948i	0.107258	−	0.400293i
$93$	−6.56899	+	1.76016i	−0.681173	+	0.182520i
$94$	−9.59488			−0.989636
$95$	0.371599	−	3.80280i	0.0381253	−	0.390159i
$96$	−0.823184	−	1.42580i	−0.0840158	−	0.145520i
$97$	3.69343	+	3.69343i	0.375011	+	0.375011i	0.869299	−	0.494287i	$-0.164571\pi$
$97$	3.69343	+	3.69343i	0.375011	+	0.375011i	−0.494287	+	0.869299i	$0.664571\pi$
$98$	−0.0189343	+	0.0706637i	−0.00191265	+	0.00713811i
$99$	0.768113	+	0.443470i	0.0771982	+	0.0445704i
$100$	4.73218	−	1.61446i	0.473218	−	0.161446i
$101$	−6.81182	+	11.7984i	−0.677802	+	1.17399i	0.297840	+	0.954616i	$0.403734\pi$
$101$	−6.81182	+	11.7984i	−0.677802	+	1.17399i	−0.975642	+	0.219371i	$0.929600\pi$
$102$	−0.548051	−	0.548051i	−0.0542651	−	0.0542651i
$103$	2.99184	+	11.1657i	0.294794	+	1.10019i	0.941380	+	0.337347i	$0.109529\pi$
$103$	2.99184	+	11.1657i	0.294794	+	1.10019i	−0.646586	+	0.762841i	$0.723804\pi$
$104$	1.77931	−	3.08186i	0.174476	−	0.302201i
$105$	7.96279	+	5.69682i	0.777089	+	0.555953i
$106$	0.926397	−	0.534855i	0.0899796	−	0.0519497i
$107$	−10.4725	−	10.4725i	−1.01241	−	1.01241i	−0.999922	−	0.0124881i	$-0.996025\pi$
$107$	−10.4725	−	10.4725i	−1.01241	−	1.01241i	−0.0124881	−	0.999922i	$-0.503975\pi$
$108$	3.82947	+	3.82947i	0.368491	+	0.368491i
$109$	11.3444	−	6.54968i	1.08659	−	0.627345i	0.153926	−	0.988082i	$-0.450808\pi$
$109$	11.3444	−	6.54968i	1.08659	−	0.627345i	0.932668	+	0.360737i	$0.117475\pi$
$110$	6.75888	−	1.12122i	0.644434	−	0.106904i
$111$	3.50255	−	6.06659i	0.332447	−	0.575815i
$112$	0.688340	+	2.56892i	0.0650420	+	0.242740i
$113$	−0.358739	−	0.358739i	−0.0337474	−	0.0337474i	0.690032	−	0.723779i	$-0.257597\pi$
$113$	−0.358739	−	0.358739i	−0.0337474	−	0.0337474i	−0.723779	+	0.690032i	$0.757597\pi$
$114$	1.40663	−	2.43635i	0.131743	−	0.228185i
$115$	5.64388	+	6.86634i	0.526294	+	0.640290i
$116$	−2.12876	−	1.22904i	−0.197650	−	0.114113i
$117$	−0.266617	+	0.995028i	−0.0246487	+	0.0919903i
$118$	−7.33059	−	7.33059i	−0.674836	−	0.674836i
$119$	0.626017	+	1.08429i	0.0573868	+	0.0993969i
$120$	3.66394	+	0.358030i	0.334470	+	0.0326835i
$121$	−1.61208			−0.146553
$122$	−7.49558	+	2.00843i	−0.678618	+	0.181835i
$123$	−0.486899	+	1.81713i	−0.0439022	+	0.163845i
$124$	3.57733	−	2.06537i	0.321254	−	0.185476i
$125$	−3.22086	+	10.7064i	−0.288083	+	0.957605i
$126$	−0.384934	−	0.666725i	−0.0342926	−	0.0593966i
$127$	7.78362	+	7.78362i	0.690685	+	0.690685i	0.962383	−	0.271698i	$-0.0875851\pi$
$127$	7.78362	+	7.78362i	0.690685	+	0.690685i	−0.271698	+	0.962383i	$0.587585\pi$
$128$	0.707107	+	0.707107i	0.0625000	+	0.0625000i
$129$	10.5792	−	2.15271i	0.931442	−	0.189535i
$130$	3.28960	+	7.24551i	0.288517	+	0.635474i
$131$		−	12.6989i		−	1.10951i	−0.832015	−	0.554753i	$-0.812813\pi$
$131$		−	12.6989i		−	1.10951i	0.832015	−	0.554753i	$-0.187187\pi$
$132$	4.87254	+	1.30559i	0.424100	+	0.113637i
$133$	−3.21347	+	3.21347i	−0.278643	+	0.278643i
$134$	−2.93974	−	5.09178i	−0.253955	−	0.439863i
$135$	−11.9466	+	1.98180i	−1.02820	+	0.170566i
$136$	0.407699	+	0.235385i	0.0349599	+	0.0201841i
$137$	−4.75860	+	4.75860i	−0.406555	+	0.406555i	−0.880535	−	0.473980i	$-0.842817\pi$
$137$	−4.75860	+	4.75860i	−0.406555	+	0.406555i	0.473980	+	0.880535i	$0.342817\pi$
$138$	1.69376	+	6.32119i	0.144182	+	0.538096i
$139$	16.0359	−	9.25831i	1.36014	−	0.785279i	0.370501	−	0.928832i	$-0.379186\pi$
$139$	16.0359	−	9.25831i	1.36014	−	0.785279i	0.989643	+	0.143553i	$0.0458527\pi$
$140$	−5.56736	−	2.09053i	−0.470527	−	0.176682i
$141$	13.6803	−	7.89835i	1.15209	−	0.665161i
$142$	−1.97308	+	0.528684i	−0.165577	+	0.0443662i
$143$	2.82204	+	10.5320i	0.235991	+	0.880729i
$144$	−0.250692	−	0.144737i	−0.0208910	−	0.0120614i
$145$	5.00476	−	2.27225i	0.415623	−	0.188700i
$146$	−7.48291	+	12.9608i	−0.619290	+	1.07264i
$147$	−0.0311728	−	0.116338i	−0.00257109	−	0.00959543i
$148$	−1.10124	+	4.10990i	−0.0905216	+	0.337831i
$149$	−9.42759	−	16.3291i	−0.772338	−	1.33773i	−0.936278	−	0.351259i	$-0.885754\pi$
$149$	−9.42759	−	16.3291i	−0.772338	−	1.33773i	0.163940	−	0.986470i	$-0.447580\pi$
$150$	−5.41813	+	6.19734i	−0.442389	+	0.506011i
$151$		−	0.143744i		−	0.0116977i	−0.999983	−	0.00584885i	$-0.998138\pi$
$151$		−	0.143744i		−	0.0116977i	0.999983	−	0.00584885i	$-0.00186176\pi$
$152$	−0.442261	+	1.65054i	−0.0358721	+	0.133876i
$153$	−0.131632	−	0.0352708i	−0.0106418	−	0.00285147i
$154$	−7.05703	−	4.07438i	−0.568672	−	0.328323i
$155$	−0.898299	+	9.19284i	−0.0721532	+	0.738387i
$156$			5.85880i			0.469079i
$157$	1.52281	+	5.68320i	0.121533	+	0.453568i	0.999692	−	0.0248002i	$-0.00789496\pi$
$157$	1.52281	+	5.68320i	0.121533	+	0.453568i	−0.878159	+	0.478369i	$0.841228\pi$
$158$	−4.44396	+	1.19076i	−0.353543	+	0.0947314i
$159$	−0.880568	+	1.52519i	−0.0698336	+	0.120955i
$160$	−2.20592	+	0.365937i	−0.174393	+	0.0289298i
$161$		−	10.5715i		−	0.833148i
$162$	−7.77356	−	2.08292i	−0.610749	−	0.163650i
$163$	6.31467	−	1.69201i	0.494603	−	0.132528i	−0.00289119	−	0.999996i	$-0.500920\pi$
$163$	6.31467	−	1.69201i	0.494603	−	0.132528i	0.497494	+	0.867467i	$0.334254\pi$
$164$		−	1.14266i		−	0.0892265i
$165$	−8.71382	+	7.16243i	−0.678370	+	0.557595i
$166$	−10.8567	+	6.26809i	−0.842640	+	0.486498i
$167$	−3.01179	+	11.2401i	−0.233059	+	0.869788i	0.745955	+	0.665996i	$0.231993\pi$
$167$	−3.01179	+	11.2401i	−0.233059	+	0.869788i	−0.979014	+	0.203792i	$0.934673\pi$
$168$	−3.09612	−	3.09612i	−0.238871	−	0.238871i
$169$	0.291169	−	0.168106i	0.0223976	−	0.0129313i
$170$	−0.958510	+	0.435181i	−0.0735144	+	0.0333769i
$171$		−	0.494643i		−	0.0378263i
$172$	−5.86838	+	2.92610i	−0.447460	+	0.223113i
$173$	−1.38151	+	1.38151i	−0.105034	+	0.105034i	−0.757671	−	0.652637i	$-0.773663\pi$
$173$	−1.38151	+	1.38151i	−0.105034	+	0.105034i	0.652637	+	0.757671i	$0.273663\pi$
$174$	4.04690			0.306795
$175$	11.0453	−	7.40475i	0.834946	−	0.559747i
$176$	−3.06397			−0.230956
$177$	16.4864	+	4.41750i	1.23919	+	0.332040i
$178$	14.9062	+	3.99410i	1.11726	+	0.299370i
$179$	−3.68310	+	6.37931i	−0.275288	+	0.476812i	−0.970208	−	0.242275i	$-0.922106\pi$
$179$	−3.68310	+	6.37931i	−0.275288	+	0.476812i	0.694920	+	0.719087i	$0.255440\pi$
$180$	0.589382	−	0.267590i	0.0439299	−	0.0199450i
$181$	5.93285	−	10.2760i	0.440985	−	0.763808i	−0.556778	−	0.830661i	$-0.687963\pi$
$181$	5.93285	−	10.2760i	0.440985	−	0.763808i	0.997763	+	0.0668531i	$0.0212959\pi$
$182$	2.44954	−	9.14181i	0.181572	−	0.677636i
$183$	9.03386	−	9.03386i	0.667802	−	0.667802i
$184$	−1.98746	−	3.44238i	−0.146518	−	0.253776i
$185$	−6.04138	−	7.34994i	−0.444171	−	0.540378i
$186$	−3.40036	+	5.88960i	−0.249327	+	0.431846i
$187$	−1.39328	+	0.373328i	−0.101887	+	0.0273004i
$188$	−6.78460	+	6.78460i	−0.494818	+	0.494818i
$189$	12.4736	+	7.20161i	0.907318	+	0.523840i
$190$	−2.42622	−	2.95175i	−0.176017	−	0.214142i
$191$	7.30516	−	4.21764i	0.528583	−	0.305177i	−0.211856	−	0.977301i	$-0.567951\pi$
$191$	7.30516	−	4.21764i	0.528583	−	0.305177i	0.740439	+	0.672123i	$0.234618\pi$
$192$	−1.59027	−	0.426111i	−0.114768	−	0.0307519i
$193$	12.3020	−	12.3020i	0.885516	−	0.885516i	−0.108573	−	0.994088i	$-0.534628\pi$
$193$	12.3020	−	12.3020i	0.885516	−	0.885516i	0.994088	+	0.108573i	$0.0346281\pi$
$194$	5.22330			0.375011
$195$	−10.6547	−	7.62268i	−0.762998	−	0.545872i
$196$	0.0365782	+	0.0633553i	0.00261273	+	0.00452538i
$197$	−19.6210	+	5.25744i	−1.39794	+	0.374577i	−0.877605	−	0.479384i	$-0.840860\pi$
$197$	−19.6210	+	5.25744i	−1.39794	+	0.374577i	−0.520336	+	0.853961i	$0.674193\pi$
$198$	0.856718	−	0.229557i	0.0608843	−	0.0163139i
$199$	−0.590431			−0.0418545			−0.0209273	−	0.999781i	$-0.506662\pi$
$199$	−0.590431			−0.0418545			−0.0209273	+	0.999781i	$0.506662\pi$
$200$	2.20456	−	4.48775i	0.155886	−	0.317332i
$201$	8.38295	+	4.83990i	0.591287	+	0.341380i
$202$	3.52606	+	13.1594i	0.248093	+	0.925894i
$203$	−6.31461	−	1.69199i	−0.443198	−	0.118755i
$204$	−0.775061			−0.0542651
$205$	2.07801	+	1.48667i	0.145135	+	0.103834i
$206$	10.0109	+	5.77978i	0.697491	+	0.402697i
$207$	0.813623	+	0.813623i	0.0565507	+	0.0565507i
$208$	−0.921039	−	3.43736i	−0.0638626	−	0.238338i
$209$	−2.61780	−	4.53417i	−0.181077	−	0.313635i
$210$	9.65881	−	1.60228i	0.666521	−	0.110568i
$211$			14.2528i			0.981206i	0.871383	+	0.490603i	$0.163224\pi$
$211$			14.2528i			0.981206i	−0.871383	+	0.490603i	$0.836776\pi$
$212$	0.276861	−	1.03326i	0.0190149	−	0.0709647i
$213$	2.37800	−	2.37800i	0.162938	−	0.162938i
$214$	−14.8103			−1.01241
$215$	2.31380	−	14.4792i	0.157800	−	0.987471i
$216$	5.41568			0.368491
$217$	7.76819	−	7.76819i	0.527339	−	0.527339i
$218$	3.39036	−	12.6530i	0.229624	−	0.856970i
$219$		−	24.6392i		−	1.66496i
$220$	3.98643	−	5.57207i	0.268765	−	0.375669i
$221$	−0.837647	−	1.45085i	−0.0563462	−	0.0975945i
$222$	−1.81305	−	6.76640i	−0.121684	−	0.454131i
$223$	5.21827	+	5.21827i	0.349441	+	0.349441i	0.859901	−	0.510460i	$-0.170525\pi$
$223$	5.21827	+	5.21827i	0.349441	+	0.349441i	−0.510460	+	0.859901i	$0.670525\pi$
$224$	2.30323	+	1.32977i	0.153891	+	0.0888490i
$225$	−0.280191	+	1.41999i	−0.0186794	+	0.0946660i
$226$	−0.507334			−0.0337474
$227$	−20.0730	−	5.37856i	−1.33229	−	0.356987i	−0.478725	−	0.877965i	$-0.658901\pi$
$227$	−20.0730	−	5.37856i	−1.33229	−	0.356987i	−0.853570	+	0.520978i	$0.825567\pi$
$228$	−0.728124	−	2.71739i	−0.0482212	−	0.179964i
$229$	23.2296	+	13.4116i	1.53505	+	0.886263i	0.999117	+	0.0420041i	$0.0133742\pi$
$229$	23.2296	+	13.4116i	1.53505	+	0.886263i	0.535935	+	0.844259i	$0.319959\pi$
$230$	8.84606	+	0.864413i	0.583292	+	0.0569977i
$231$	13.4158			0.882698
$232$	−2.37432	+	0.636198i	−0.155882	+	0.0417684i
$233$	7.67479	−	2.05645i	0.502792	−	0.134723i	0.00149663	−	0.999999i	$-0.499524\pi$
$233$	7.67479	−	2.05645i	0.502792	−	0.134723i	0.501296	+	0.865276i	$0.332857\pi$
$234$	0.515064	+	0.892117i	0.0336708	+	0.0583195i
$235$	−3.51112	−	21.1655i	−0.229040	−	1.38069i
$236$	−10.3670			−0.674836
$237$	5.35597	−	5.35597i	0.347908	−	0.347908i
$238$	1.20937	+	0.324050i	0.0783919	+	0.0210050i
$239$	−1.02317	+	0.590726i	−0.0661832	+	0.0382109i	−0.532726	−	0.846288i	$-0.678833\pi$
$239$	−1.02317	+	0.590726i	−0.0661832	+	0.0382109i	0.466543	+	0.884498i	$0.345499\pi$
$240$	2.84396	−	2.33763i	0.183577	−	0.150893i
$241$	−13.1199	−	7.57479i	−0.845128	−	0.487935i	0.0138761	−	0.999904i	$-0.495583\pi$
$241$	−13.1199	−	7.57479i	−0.845128	−	0.487935i	−0.859004	+	0.511969i	$0.828916\pi$
$242$	−1.13991	+	1.13991i	−0.0732764	+	0.0732764i
$243$	−2.89531	+	0.775795i	−0.185734	+	0.0497673i
$244$	−3.88000	+	6.72035i	−0.248391	+	0.430227i
$245$	−0.162807	−	0.0159091i	−0.0104014	−	0.00101639i
$246$	0.940616	+	1.62920i	0.0599715	+	0.103874i
$247$	4.29981	−	4.29981i	0.273590	−	0.273590i
$248$	1.06912	−	3.98999i	0.0678889	−	0.253365i
$249$	10.3196	−	17.8740i	0.653977	−	1.13272i
$250$	5.29304	+	9.84803i	0.334761	+	0.622844i
$251$	−1.58219	+	2.74044i	−0.0998671	+	0.172975i	−0.911630	−	0.411013i	$-0.865175\pi$
$251$	−1.58219	+	2.74044i	−0.0998671	+	0.172975i	0.811762	+	0.583988i	$0.198508\pi$
$252$	−0.743635	−	0.199256i	−0.0468446	−	0.0125520i
$253$	11.7641	+	3.15217i	0.739600	+	0.198175i
$254$	11.0077			0.690685
$255$	1.00841	−	1.40951i	0.0631488	−	0.0882669i
$256$	1.00000			0.0625000
$257$	20.1147	−	20.1147i	1.25472	−	1.25472i	0.301138	−	0.953580i	$-0.402633\pi$
$257$	20.1147	−	20.1147i	1.25472	−	1.25472i	0.953580	−	0.301138i	$-0.0973666\pi$
$258$	5.95839	−	9.00279i	0.370953	−	0.560489i
$259$			11.3160i			0.703143i
$260$	7.44945	+	2.79726i	0.461995	+	0.173478i
$261$	0.616220	−	0.355775i	0.0381431	−	0.0220219i
$262$	−8.97946	−	8.97946i	−0.554753	−	0.554753i
$263$	−0.103576	+	0.386550i	−0.00638676	+	0.0238357i	−0.969046	−	0.246881i	$-0.920594\pi$
$263$	−0.103576	+	0.386550i	−0.00638676	+	0.0238357i	0.962659	+	0.270717i	$0.0872608\pi$
$264$	4.36860	−	2.52221i	0.268869	−	0.155231i
$265$	1.51885	+	1.84783i	0.0933023	+	0.113512i
$266$			4.54453i			0.278643i
$267$	−24.5410	+	6.57575i	−1.50189	+	0.402429i
$268$	−5.67915	−	1.52172i	−0.346909	−	0.0929540i
$269$			18.4755i			1.12647i	0.826297	+	0.563235i	$0.190443\pi$
$269$			18.4755i			1.12647i	−0.826297	+	0.563235i	$0.809557\pi$
$270$	−7.04616	+	9.84884i	−0.428816	+	0.599382i
$271$	−13.9853	+	24.2233i	−0.849549	+	1.47146i	0.0320626	+	0.999486i	$0.489792\pi$
$271$	−13.9853	+	24.2233i	−0.849549	+	1.47146i	−0.881611	+	0.471976i	$0.843541\pi$
$272$	0.454729	−	0.121844i	0.0275720	−	0.00738790i
$273$	4.03284	+	15.0508i	0.244079	+	0.910915i
$274$			6.72968i			0.406555i
$275$	4.94665	+	14.4993i	0.298294	+	0.874339i
$276$	5.66743	+	3.27209i	0.341139	+	0.196957i
$277$	9.91745	+	2.65737i	0.595882	+	0.159666i	0.544140	−	0.838994i	$-0.316856\pi$
$277$	9.91745	+	2.65737i	0.595882	+	0.159666i	0.0517417	+	0.998660i	$0.483523\pi$
$278$	4.79245	−	17.8857i	0.287432	−	1.07271i
$279$			1.19574i			0.0715872i
$280$	−5.41495	+	2.45849i	−0.323605	+	0.146923i
$281$	3.70660	+	6.42002i	0.221117	+	0.382986i	0.955147	−	0.296131i	$-0.0956964\pi$
$281$	3.70660	+	6.42002i	0.221117	+	0.382986i	−0.734030	+	0.679117i	$0.762363\pi$
$282$	4.08848	−	15.2584i	0.243466	−	0.908626i
$283$	5.79606	+	21.6312i	0.344540	+	1.28584i	0.893149	+	0.449762i	$0.148491\pi$
$283$	5.79606	+	21.6312i	0.344540	+	1.28584i	−0.548608	+	0.836079i	$0.684842\pi$
$284$	−1.02134	+	1.76901i	−0.0606053	+	0.104971i
$285$	5.88913	+	2.21136i	0.348842	+	0.130990i
$286$	9.44272	+	5.45176i	0.558360	+	0.322369i
$287$	−0.786536	−	2.93539i	−0.0464277	−	0.173271i
$288$	−0.279610	+	0.0749214i	−0.0164762	+	0.00441478i
$289$	−14.5305	+	8.38919i	−0.854735	+	0.493482i
$290$	1.93217	−	5.14563i	0.113461	−	0.302162i
$291$	−7.44736	+	4.29974i	−0.436572	+	0.252055i
$292$	3.87344	+	14.4559i	0.226676	+	0.845965i
$293$	13.8413	−	13.8413i	0.808617	−	0.808617i	−0.175808	−	0.984424i	$-0.556254\pi$
$293$	13.8413	−	13.8413i	0.808617	−	0.808617i	0.984424	+	0.175808i	$0.0562538\pi$
$294$	−0.104306	−	0.0602212i	−0.00608326	−	0.00351217i
$295$	13.4882	−	18.8532i	0.785312	−	1.09768i
$296$	2.12744	+	3.68483i	0.123655	+	0.214176i
$297$	−11.7334	+	11.7334i	−0.680839	+	0.680839i
$298$	−18.2127	−	4.88008i	−1.05503	−	0.282695i
$299$			14.1452i			0.818040i
$300$	0.550983	+	8.21338i	0.0318110	+	0.474200i
$301$	−13.0612	+	11.5564i	−0.752838	+	0.666098i
$302$	−0.101642	−	0.101642i	−0.00584885	−	0.00584885i
$303$	−15.8601	−	15.8601i	−0.911137	−	0.911137i
$304$	0.854382	+	1.47983i	0.0490022	+	0.0848742i
$305$	−7.17336	−	15.7997i	−0.410745	−	0.904688i
$306$	−0.118018	+	0.0681379i	−0.00674666	+	0.00389518i
$307$	−0.600719	+	2.24191i	−0.0342848	+	0.127953i	−0.980947	−	0.194274i	$-0.937765\pi$
$307$	−0.600719	+	2.24191i	−0.0342848	+	0.127953i	0.946662	+	0.322227i	$0.104431\pi$
$308$	−7.87109	+	2.10905i	−0.448497	+	0.120174i
$309$	−19.0313			−1.08265
$310$	5.86512	+	7.13551i	0.333117	+	0.405270i
$311$	2.72735	+	4.72390i	0.154654	+	0.267868i	0.932933	−	0.360050i	$-0.117240\pi$
$311$	2.72735	+	4.72390i	0.154654	+	0.267868i	−0.778279	+	0.627918i	$0.783907\pi$
$312$	4.14280	+	4.14280i	0.234540	+	0.234540i
$313$	−7.35947	+	27.4659i	−0.415982	+	1.55246i	0.366880	+	0.930268i	$0.380426\pi$
$313$	−7.35947	+	27.4659i	−0.415982	+	1.55246i	−0.782861	+	0.622196i	$0.786241\pi$
$314$	5.09541	+	2.94184i	0.287551	+	0.166018i
$315$	1.32988	−	1.09311i	0.0749304	−	0.0615900i
$316$	−2.30036	+	3.98435i	−0.129406	+	0.224137i
$317$	13.0483	+	13.0483i	0.732865	+	0.732865i	0.971186	−	0.238321i	$-0.0765971\pi$
$317$	13.0483	+	13.0483i	0.732865	+	0.732865i	−0.238321	+	0.971186i	$0.576597\pi$
$318$	0.455816	+	1.70113i	0.0255609	+	0.0953945i
$319$	3.76574	−	6.52246i	0.210841	−	0.365187i
$320$	−1.30107	+	1.81858i	−0.0727318	+	0.101662i
$321$	21.1164	−	12.1916i	1.17860	−	0.680468i
$322$	−7.47515	−	7.47515i	−0.416574	−	0.416574i
$323$	0.568822	+	0.568822i	0.0316501	+	0.0316501i
$324$	−6.96958	+	4.02389i	−0.387199	+	0.223550i
$325$	−14.7793	+	9.90800i	−0.819805	+	0.549597i
$326$	3.26871	−	5.66158i	0.181037	−	0.313566i
$327$	5.58178	+	20.8315i	0.308673	+	1.15198i
$328$	−0.807980	−	0.807980i	−0.0446132	−	0.0446132i
$329$	−12.7590	+	22.0992i	−0.703425	+	1.21837i
$330$	−1.09699	+	11.2262i	−0.0603875	+	0.617982i
$331$	−12.7082	−	7.33708i	−0.698506	−	0.403282i	0.108285	−	0.994120i	$-0.465464\pi$
$331$	−12.7082	−	7.33708i	−0.698506	−	0.403282i	−0.806791	+	0.590837i	$0.798797\pi$
$332$	−3.24460	+	12.1090i	−0.178071	+	0.664569i
$333$	−0.870927	−	0.870927i	−0.0477265	−	0.0477265i
$334$	5.81832	+	10.0776i	0.318365	+	0.551424i
$335$	10.1563	−	8.34811i	0.554899	−	0.456106i
$336$	−4.37858			−0.238871
$337$	25.2341	−	6.76144i	1.37459	−	0.368319i	0.505435	−	0.862865i	$-0.331332\pi$
$337$	25.2341	−	6.76144i	1.37459	−	0.368319i	0.869152	+	0.494546i	$0.164666\pi$
$338$	0.0870183	−	0.324757i	0.00473317	−	0.0176644i
$339$	0.723355	−	0.417629i	0.0392872	−	0.0226825i
$340$	−0.370049	+	0.985489i	−0.0200687	+	0.0534456i
$341$	6.32824	+	10.9608i	0.342693	+	0.593562i
$342$	−0.349765	−	0.349765i	−0.0189131	−	0.0189131i
$343$	−13.0265	−	13.0265i	−0.703364	−	0.703364i
$344$	−2.08050	+	6.21864i	−0.112173	+	0.335287i
$345$	−13.3242	+	6.04946i	−0.717353	+	0.325692i
$346$			1.95375i			0.105034i
$347$	−33.9101	−	9.08617i	−1.82039	−	0.487771i	−0.823550	−	0.567244i	$-0.808010\pi$
$347$	−33.9101	−	9.08617i	−1.82039	−	0.487771i	−0.996837	+	0.0794724i	$0.974676\pi$
$348$	2.86159	−	2.86159i	0.153397	−	0.153397i
$349$	3.95021	+	6.84197i	0.211450	+	0.366242i	0.952169	−	0.305573i	$-0.0988481\pi$
$349$	3.95021	+	6.84197i	0.211450	+	0.366242i	−0.740719	+	0.671815i	$0.765515\pi$
$350$	2.57425	−	13.0462i	0.137600	−	0.697346i
$351$	−16.6904	−	9.63618i	−0.890865	−	0.514341i
$352$	−2.16655	+	2.16655i	−0.115478	+	0.115478i
$353$	−6.42870	−	23.9922i	−0.342165	−	1.27698i	−0.895889	−	0.444277i	$-0.853461\pi$
$353$	−6.42870	−	23.9922i	−0.342165	−	1.27698i	0.553724	−	0.832700i	$-0.313206\pi$
$354$	14.7813	−	8.53396i	0.785615	−	0.453575i
$355$	−1.88826	−	4.15899i	−0.100218	−	0.220736i
$356$	13.3645	−	7.71600i	0.708317	−	0.408947i
$357$	−1.99107	+	0.533505i	−0.105379	+	0.0282361i
$358$	1.90651	+	7.11520i	0.100762	+	0.376050i
$359$	24.2867	+	14.0219i	1.28180	+	0.740049i	0.977178	−	0.212423i	$-0.0681354\pi$
$359$	24.2867	+	14.0219i	1.28180	+	0.740049i	0.304625	+	0.952472i	$0.401469\pi$
$360$	0.227541	−	0.605971i	0.0119925	−	0.0319375i
$361$	8.04006	−	13.9258i	0.423161	−	0.732937i
$362$	−3.07107	−	11.4614i	−0.161412	−	0.602397i
$363$	0.686926	−	2.56364i	0.0360542	−	0.134556i
$364$	−4.73215	−	8.19632i	−0.248032	−	0.429604i
$365$	−31.3287	−	11.7639i	−1.63982	−	0.615750i
$366$		−	12.7758i		−	0.667802i
$367$	−1.39360	+	5.20097i	−0.0727451	+	0.271488i	−0.992713	−	0.120506i	$-0.961548\pi$
$367$	−1.39360	+	5.20097i	−0.0727451	+	0.271488i	0.919967	+	0.391995i	$0.128215\pi$
$368$	−3.83948	−	1.02879i	−0.200147	−	0.0536291i
$369$	0.286455	+	0.165385i	0.0149122	+	0.00860958i
$370$	−9.46909	−	0.925294i	−0.492275	−	0.0481038i
$371$		−	2.84494i		−	0.147702i
$372$	1.76016	+	6.56899i	0.0912599	+	0.340586i
$373$	29.4942	−	7.90294i	1.52715	−	0.409199i	0.605062	−	0.796178i	$-0.293148\pi$
$373$	29.4942	−	7.90294i	1.52715	−	0.409199i	0.922088	+	0.386980i	$0.126482\pi$
$374$	−0.721214	+	1.24918i	−0.0372931	+	0.0645935i
$375$	−15.6535	−	9.68414i	−0.808345	−	0.500087i
$376$			9.59488i			0.494818i
$377$	8.44931	+	2.26399i	0.435162	+	0.116601i
$378$	13.9125	−	3.72783i	0.715579	−	0.191739i
$379$			9.14757i			0.469879i	0.972010	+	0.234940i	$0.0754892\pi$
$379$			9.14757i			0.469879i	−0.972010	+	0.234940i	$0.924511\pi$
$380$	−3.80280	−	0.371599i	−0.195079	−	0.0190626i
$381$	−15.6947	+	9.06136i	−0.804066	+	0.464228i
$382$	2.18321	−	8.14785i	0.111703	−	0.416880i
$383$	4.08845	+	4.08845i	0.208910	+	0.208910i	0.803804	−	0.594894i	$-0.202806\pi$
$383$	4.08845	+	4.08845i	0.208910	+	0.208910i	−0.594894	+	0.803804i	$0.702806\pi$
$384$	−1.42580	+	0.823184i	−0.0727599	+	0.0420079i
$385$	6.40533	−	17.0582i	0.326446	−	0.869367i
$386$		−	17.3976i		−	0.885516i
$387$	0.115822	−	1.89467i	0.00588754	−	0.0963115i
$388$	3.69343	−	3.69343i	0.187506	−	0.187506i
$389$	−27.7841			−1.40871			−0.704356	−	0.709847i	$-0.748764\pi$
$389$	−27.7841			−1.40871			−0.704356	+	0.709847i	$0.748764\pi$
$390$	−12.9241	+	2.14395i	−0.654435	+	0.108563i
$391$	−1.87128			−0.0946345
$392$	0.0706637	+	0.0189343i	0.00356905	+	0.000956325i
$393$	20.1946	+	5.41114i	1.01868	+	0.272956i
$394$	−10.1566	+	17.5917i	−0.511682	+	0.886259i
$395$	−4.25292	−	9.36729i	−0.213988	−	0.471319i
$396$	0.443470	−	0.768113i	0.0222852	−	0.0385991i
$397$	4.66157	−	17.3972i	0.233957	−	0.873140i	−0.744659	−	0.667445i	$-0.767388\pi$
$397$	4.66157	−	17.3972i	0.233957	−	0.873140i	0.978616	−	0.205695i	$-0.0659455\pi$
$398$	−0.417498	+	0.417498i	−0.0209273	+	0.0209273i
$399$	−3.74098	−	6.47957i	−0.187283	−	0.324384i
$400$	−1.61446	−	4.73218i	−0.0807228	−	0.236609i
$401$	−0.394267	+	0.682891i	−0.0196888	+	0.0341020i	−0.875702	−	0.482852i	$-0.839601\pi$
$401$	−0.394267	+	0.682891i	−0.0196888	+	0.0341020i	0.856013	+	0.516954i	$0.172934\pi$
$402$	9.34996	−	2.50531i	0.466334	−	0.124954i
$403$	−10.3943	+	10.3943i	−0.517777	+	0.517777i
$404$	11.7984	+	6.81182i	0.586993	+	0.338901i
$405$	1.75013	−	17.9101i	0.0869644	−	0.889959i
$406$	−5.66152	+	3.26868i	−0.280977	+	0.162222i
$407$	−12.5926	−	3.37418i	−0.624192	−	0.167252i
$408$	−0.548051	+	0.548051i	−0.0271326	+	0.0271326i
$409$	−13.1195			−0.648720			−0.324360	−	0.945934i	$-0.605149\pi$
$409$	−13.1195			−0.648720			−0.324360	+	0.945934i	$0.605149\pi$
$410$	2.52061	−	0.418140i	0.124484	−	0.0206505i
$411$	−5.53977	−	9.59516i	−0.273257	−	0.473294i
$412$	11.1657	−	2.99184i	0.550094	−	0.147397i
$413$	−26.6320	+	7.13603i	−1.31048	+	0.351141i
$414$	1.15064			0.0565507
$415$	−17.7998	−	21.6552i	−0.873757	−	1.06301i
$416$	−3.08186	−	1.77931i	−0.151100	−	0.0872379i
$417$	7.89014	+	29.4464i	0.386382	+	1.44200i
$418$	−5.05720	−	1.35507i	−0.247356	−	0.0662788i
$419$	37.7327			1.84336			0.921681	−	0.387948i	$-0.126816\pi$
$419$	37.7327			1.84336			0.921681	+	0.387948i	$0.126816\pi$
$420$	5.69682	−	7.96279i	0.277976	−	0.388545i
$421$	−15.4096	−	8.89675i	−0.751019	−	0.433601i	0.0750430	−	0.997180i	$-0.476091\pi$
$421$	−15.4096	−	8.89675i	−0.751019	−	0.433601i	−0.826062	+	0.563579i	$0.809424\pi$
$422$	10.0783	+	10.0783i	0.490603	+	0.490603i
$423$	−0.718861	−	2.68283i	−0.0349522	−	0.130444i
$424$	−0.534855	−	0.926397i	−0.0259749	−	0.0449898i
$425$	−1.31073	−	1.95515i	−0.0635797	−	0.0948387i
$426$		−	3.36300i		−	0.162938i
$427$	−5.34151	+	19.9348i	−0.258494	+	0.964713i
$428$	−10.4725	+	10.4725i	−0.506205	+	0.506205i
$429$	−17.9512			−0.866692
$430$	−8.60221	−	11.8744i	−0.414836	−	0.572636i
$431$	−13.7428			−0.661969			−0.330984	−	0.943636i	$-0.607381\pi$
$431$	−13.7428			−0.661969			−0.330984	+	0.943636i	$0.607381\pi$
$432$	3.82947	−	3.82947i	0.184245	−	0.184245i
$433$	3.55358	−	13.2622i	0.170774	−	0.637338i	−0.826459	−	0.562998i	$-0.809648\pi$
$433$	3.55358	−	13.2622i	0.170774	−	0.637338i	0.997233	−	0.0743409i	$-0.0236853\pi$
$434$		−	10.9859i		−	0.527339i
$435$	1.48091	+	8.92715i	0.0710042	+	0.428024i
$436$	−6.54968	−	11.3444i	−0.313673	−	0.543297i
$437$	−1.75795	−	6.56076i	−0.0840942	−	0.313844i
$438$	−17.4226	−	17.4226i	−0.832482	−	0.832482i
$439$	−12.0344	−	6.94807i	−0.574371	−	0.331613i	0.184522	−	0.982828i	$-0.440926\pi$
$439$	−12.0344	−	6.94807i	−0.574371	−	0.331613i	−0.758893	+	0.651215i	$0.774260\pi$
$440$	−1.12122	−	6.75888i	−0.0534521	−	0.322217i
$441$	−0.0211769			−0.00100842
$442$	−1.61821	−	0.433598i	−0.0769704	−	0.0206242i
$443$	−4.94691	−	18.4621i	−0.235035	−	0.877162i	−0.978133	−	0.207980i	$-0.933311\pi$
$443$	−4.94691	−	18.4621i	−0.235035	−	0.877162i	0.743098	−	0.669182i	$-0.233355\pi$
$444$	−6.06659	−	3.50255i	−0.287907	−	0.166223i
$445$	−3.35595	+	34.3434i	−0.159087	+	1.62803i
$446$	7.37975			0.349441
$447$	29.9848	−	8.03441i	1.41823	−	0.380014i
$448$	2.56892	−	0.688340i	0.121370	−	0.0325210i
$449$	−3.11534	−	5.39593i	−0.147022	−	0.254650i	0.783103	−	0.621891i	$-0.213636\pi$
$449$	−3.11534	−	5.39593i	−0.147022	−	0.254650i	−0.930126	+	0.367242i	$0.880302\pi$
$450$	0.805960	+	1.20221i	0.0379933	+	0.0566727i
$451$	3.50107			0.164859
$452$	−0.358739	+	0.358739i	−0.0168737	+	0.0168737i
$453$	0.228591	+	0.0612508i	0.0107402	+	0.00287782i
$454$	−17.9970	+	10.3906i	−0.844641	+	0.487654i
$455$	21.0625	+	2.05817i	0.987425	+	0.0964885i
$456$	−2.43635	−	1.40663i	−0.114092	−	0.0658713i
$457$	14.2075	−	14.2075i	0.664597	−	0.664597i	−0.291863	−	0.956460i	$-0.594275\pi$
$457$	14.2075	−	14.2075i	0.664597	−	0.664597i	0.956460	+	0.291863i	$0.0942751\pi$
$458$	25.9092	−	6.94235i	1.21066	−	0.324395i
$459$	1.27477	−	2.20797i	0.0595013	−	0.103059i
$460$	6.86634	−	5.64388i	0.320145	−	0.263147i
$461$	2.97694	+	5.15622i	0.138650	+	0.240149i	0.926986	−	0.375096i	$-0.122390\pi$
$461$	2.97694	+	5.15622i	0.138650	+	0.240149i	−0.788336	+	0.615245i	$0.789057\pi$
$462$	9.48644	−	9.48644i	0.441349	−	0.441349i
$463$	−9.47683	+	35.3680i	−0.440426	+	1.64369i	0.287314	+	0.957837i	$0.407238\pi$
$463$	−9.47683	+	35.3680i	−0.440426	+	1.64369i	−0.727739	+	0.685854i	$0.759429\pi$
$464$	−1.22904	+	2.12876i	−0.0570567	+	0.0988251i
$465$	−14.2363	−	5.34571i	−0.660193	−	0.247901i
$466$	3.97276	−	6.88103i	0.184035	−	0.318757i
$467$	31.9585	+	8.56325i	1.47886	+	0.396260i	0.905960	−	0.423364i	$-0.139151\pi$
$467$	31.9585	+	8.56325i	1.47886	+	0.396260i	0.572902	+	0.819624i	$0.305817\pi$
$468$	0.995028	+	0.266617i	0.0459952	+	0.0123244i
$469$	−15.6367			−0.722037
$470$	−17.4490	−	12.4836i	−0.804864	−	0.575824i
$471$	−9.68670			−0.446339
$472$	−7.33059	+	7.33059i	−0.337418	+	0.337418i
$473$	−8.96550	−	17.9806i	−0.412234	−	0.826747i
$474$		−	7.57449i		−	0.347908i
$475$	5.62347	−	6.43221i	0.258023	−	0.295130i
$476$	1.08429	−	0.626017i	0.0496985	−	0.0286934i
$477$	0.218958	+	0.218958i	0.0100254	+	0.0100254i
$478$	−0.305782	+	1.14119i	−0.0139861	+	0.0521970i
$479$	−34.2304	+	19.7629i	−1.56403	+	0.902991i	−0.567184	+	0.823591i	$0.691967\pi$
$479$	−34.2304	+	19.7629i	−1.56403	+	0.902991i	−0.996843	+	0.0794001i	$0.974700\pi$
$480$	0.358030	−	3.66394i	0.0163418	−	0.167235i
$481$		−	15.1415i		−	0.690393i
$482$	−14.6334	+	3.92100i	−0.666531	+	0.178597i
$483$	16.8115	+	4.50462i	0.764948	+	0.204967i
$484$			1.61208i			0.0732764i
$485$	1.91140	+	11.5222i	0.0867921	+	0.523196i
$486$	−1.49872	+	2.59586i	−0.0679833	+	0.117751i
$487$	−3.26194	+	0.874034i	−0.147813	+	0.0396062i	−0.331967	−	0.943291i	$-0.607712\pi$
$487$	−3.26194	+	0.874034i	−0.147813	+	0.0396062i	0.184154	+	0.982897i	$0.441045\pi$
$488$	2.00843	+	7.49558i	0.0909176	+	0.339309i
$489$			10.7630i			0.486720i
$490$	−0.126372	+	0.103873i	−0.00570888	+	0.00469249i
$491$	18.8040	+	10.8565i	0.848612	+	0.489946i	0.860182	−	0.509987i	$-0.170350\pi$
$491$	18.8040	+	10.8565i	0.848612	+	0.489946i	−0.0115704	+	0.999933i	$0.503683\pi$
$492$	1.81713	+	0.486899i	0.0819226	+	0.0219511i
$493$	−0.299503	+	1.11776i	−0.0134889	+	0.0503414i
$494$		−	6.08084i		−	0.273590i
$495$	0.819889	+	1.80585i	0.0368513	+	0.0811669i
$496$	−2.06537	−	3.57733i	−0.0927379	−	0.160627i
$497$	−1.40606	+	5.24747i	−0.0630703	+	0.235381i
$498$	−5.34181	−	19.9359i	−0.239372	−	0.893350i
$499$	1.15379	−	1.99843i	0.0516508	−	0.0894619i	−0.839044	−	0.544064i	$-0.816885\pi$
$499$	1.15379	−	1.99843i	0.0516508	−	0.0894619i	0.890695	+	0.454602i	$0.150218\pi$
$500$	10.7064	+	3.22086i	0.478803	+	0.144041i
$501$	−16.5915	−	9.57910i	−0.741253	−	0.427963i
$502$	0.819003	+	3.05656i	0.0365539	+	0.136421i
$503$	−28.0390	+	7.51303i	−1.25020	+	0.334989i	−0.822413	−	0.568891i	$-0.807372\pi$
$503$	−28.0390	+	7.51303i	−1.25020	+	0.334989i	−0.427785	+	0.903881i	$0.640706\pi$
$504$	−0.666725	+	0.384934i	−0.0296983	+	0.0171463i
$505$	−27.7384	+	12.5937i	−1.23434	+	0.560413i
$506$	10.5474	−	6.08952i	0.468887	−	0.270712i
$507$	0.143264	+	0.534669i	0.00636258	+	0.0237455i
$508$	7.78362	−	7.78362i	0.345342	−	0.345342i
$509$	−32.6555	−	18.8537i	−1.44743	−	0.835675i	−0.449103	−	0.893480i	$-0.648256\pi$
$509$	−32.6555	−	18.8537i	−1.44743	−	0.835675i	−0.998328	+	0.0578051i	$0.981590\pi$
$510$	−0.283623	−	1.70972i	−0.0125591	−	0.0757079i
$511$	19.9011	+	34.4697i	0.880373	+	1.52485i
$512$	0.707107	−	0.707107i	0.0312500	−	0.0312500i
$513$	8.93880	+	2.39514i	0.394658	+	0.105748i
$514$		−	28.4464i		−	1.25472i
$515$	−9.08640	+	24.1983i	−0.400395	+	1.06630i
$516$	−2.15271	−	10.5792i	−0.0947677	−	0.465721i
$517$	−20.7878	−	20.7878i	−0.914247	−	0.914247i
$518$	8.00163	+	8.00163i	0.351572	+	0.351572i
$519$	−1.60830	−	2.78565i	−0.0705965	−	0.122277i
$520$	7.24551	−	3.28960i	0.317737	−	0.144258i
$521$	9.45234	−	5.45731i	0.414115	−	0.239089i	−0.278442	−	0.960453i	$-0.589818\pi$
$521$	9.45234	−	5.45731i	0.414115	−	0.239089i	0.692556	+	0.721364i	$0.256485\pi$
$522$	0.184163	−	0.687304i	0.00806058	−	0.0300825i
$523$	18.0351	−	4.83248i	0.788619	−	0.211310i	0.158038	−	0.987433i	$-0.449483\pi$
$523$	18.0351	−	4.83248i	0.788619	−	0.211310i	0.630581	+	0.776123i	$0.282817\pi$
$524$	−12.6989			−0.554753
$525$	7.06903	+	20.7202i	0.308518	+	0.904305i
$526$	0.200093	+	0.346571i	0.00872447	+	0.0151112i
$527$	−1.37506	−	1.37506i	−0.0598987	−	0.0598987i
$528$	1.30559	−	4.87254i	0.0568186	−	0.212050i
$529$	−6.23539	−	3.60000i	−0.271104	−	0.156522i
$530$	2.38061	+	0.232627i	0.103407	+	0.0101046i
$531$	1.50049	−	2.59893i	0.0651158	−	0.112784i
$532$	3.21347	+	3.21347i	0.139321	+	0.139321i
$533$	1.05243	+	3.92773i	0.0455859	+	0.170129i
$534$	−12.7034	+	22.0029i	−0.549729	+	0.952158i
$535$	−5.41963	−	32.6703i	−0.234311	−	1.41246i
$536$	−5.09178	+	2.93974i	−0.219932	+	0.126978i
$537$	−8.57541	−	8.57541i	−0.370056	−	0.370056i
$538$	13.0641	+	13.0641i	0.563235	+	0.563235i
$539$	−0.194119	+	0.112075i	−0.00836129	+	0.00482739i
$540$	1.98180	+	11.9466i	0.0852830	+	0.514099i
$541$	−6.71609	+	11.6326i	−0.288747	+	0.500125i	−0.973511	−	0.228640i	$-0.926572\pi$
$541$	−6.71609	+	11.6326i	−0.288747	+	0.500125i	0.684764	+	0.728765i	$0.259905\pi$
$542$	7.23934	+	27.0176i	0.310956	+	1.16051i
$543$	13.8135	+	13.8135i	0.592796	+	0.592796i
$544$	0.235385	−	0.407699i	0.0100921	−	0.0174800i
$545$	29.1522	+	2.84867i	1.24874	+	0.122024i
$546$	13.4942	+	7.79086i	0.577497	+	0.333418i
$547$	−10.2634	+	38.3036i	−0.438833	+	1.63775i	0.292892	+	0.956145i	$0.405382\pi$
$547$	−10.2634	+	38.3036i	−0.438833	+	1.63775i	−0.731725	+	0.681600i	$0.761284\pi$
$548$	4.75860	+	4.75860i	0.203278	+	0.203278i
$549$	−1.12316	−	1.94537i	−0.0479352	−	0.0830263i
$550$	13.7503	+	6.75472i	0.586316	+	0.288022i
$551$	−4.20028			−0.178938
$552$	6.32119	−	1.69376i	0.269048	−	0.0720911i
$553$	−3.16686	+	11.8189i	−0.134669	+	0.502591i
$554$	8.89174	−	5.13365i	0.377774	−	0.218108i
$555$	14.2627	−	6.47552i	0.605417	−	0.274871i
$556$	−9.25831	−	16.0359i	−0.392640	−	0.680072i
$557$	−15.5762	−	15.5762i	−0.659983	−	0.659983i	0.295393	−	0.955376i	$-0.404549\pi$
$557$	−15.5762	−	15.5762i	−0.659983	−	0.659983i	−0.955376	+	0.295393i	$0.904549\pi$
$558$	0.845518	+	0.845518i	0.0357936	+	0.0357936i
$559$	17.4767	−	15.4631i	0.739186	−	0.654019i
$560$	−2.09053	+	5.56736i	−0.0883411	+	0.235264i
$561$		−	2.37477i		−	0.100263i
$562$	7.16060	+	1.91868i	0.302052	+	0.0809345i
$563$	30.9089	−	30.9089i	1.30265	−	1.30265i	0.376059	−	0.926596i	$-0.377279\pi$
$563$	30.9089	−	30.9089i	1.30265	−	1.30265i	0.926596	−	0.376059i	$-0.122721\pi$
$564$	−7.89835	−	13.6803i	−0.332580	−	0.576046i
$565$	−0.185652	−	1.11914i	−0.00781044	−	0.0470825i
$566$	19.3940	+	11.1971i	0.815191	+	0.470651i
$567$	−15.1345	+	15.1345i	−0.635589	+	0.635589i
$568$	0.528684	+	1.97308i	0.0221831	+	0.0827884i
$569$	0.552459	−	0.318962i	0.0231603	−	0.0133716i	−0.488375	−	0.872634i	$-0.662410\pi$
$569$	0.552459	−	0.318962i	0.0231603	−	0.0133716i	0.511535	+	0.859262i	$0.329077\pi$
$570$	5.72791	−	2.60058i	0.239916	−	0.108926i
$571$	−14.6009	+	8.42985i	−0.611030	+	0.352778i	−0.773368	−	0.633957i	$-0.781430\pi$
$571$	−14.6009	+	8.42985i	−0.611030	+	0.352778i	0.162338	+	0.986735i	$0.448096\pi$
$572$	10.5320	−	2.82204i	0.440364	−	0.117995i
$573$	3.59436	+	13.4143i	0.150157	+	0.560392i
$574$	−2.63180	−	1.51947i	−0.109849	−	0.0634215i
$575$	1.33027	+	19.8300i	0.0554761	+	0.826970i
$576$	−0.144737	+	0.250692i	−0.00603071	+	0.0104455i
$577$	7.01018	+	26.1623i	0.291837	+	1.08915i	0.943697	+	0.330812i	$0.107323\pi$
$577$	7.01018	+	26.1623i	0.291837	+	1.08915i	−0.651859	+	0.758340i	$0.726011\pi$
$578$	−4.34256	+	16.2067i	−0.180627	+	0.674108i
$579$	14.3214	+	24.8055i	0.595179	+	1.03088i
$580$	−2.27225	−	5.00476i	−0.0943502	−	0.207811i
$581$			33.3405i			1.38320i
$582$	−2.22571	+	8.30646i	−0.0922586	+	0.344314i
$583$	3.16588	+	0.848296i	0.131117	+	0.0351328i
$584$	12.9608	+	7.48291i	0.536321	+	0.309645i
$585$	−1.77946	+	1.46265i	−0.0735716	+	0.0604731i
$586$		−	19.5745i		−	0.808617i
$587$	−8.82724	−	32.9437i	−0.364339	−	1.35973i	−0.868314	−	0.496014i	$-0.834796\pi$
$587$	−8.82724	−	32.9437i	−0.364339	−	1.35973i	0.503975	−	0.863718i	$-0.331870\pi$
$588$	−0.116338	+	0.0311728i	−0.00479771	+	0.00128554i
$589$	3.52923	−	6.11281i	0.145420	−	0.251874i
$590$	−3.79367	−	22.8688i	−0.156183	−	0.941495i
$591$		−	33.4430i		−	1.37566i
$592$	4.10990	+	1.10124i	0.168916	+	0.0452608i
$593$	21.2973	−	5.70661i	0.874577	−	0.234342i	0.206511	−	0.978444i	$-0.433789\pi$
$593$	21.2973	−	5.70661i	0.874577	−	0.234342i	0.668066	+	0.744102i	$0.267122\pi$
$594$			16.5935i			0.680839i
$595$	−0.272276	+	2.78636i	−0.0111622	+	0.114230i
$596$	−16.3291	+	9.42759i	−0.668865	+	0.386169i
$597$	0.251589	−	0.938944i	0.0102969	−	0.0384284i
$598$	10.0022	+	10.0022i	0.409020	+	0.409020i
$599$	3.96552	−	2.28950i	0.162027	−	0.0935463i	−0.416794	−	0.909001i	$-0.636846\pi$
$599$	3.96552	−	2.28950i	0.162027	−	0.0935463i	0.578821	+	0.815455i	$0.303513\pi$
$600$	6.19734	+	5.41813i	0.253005	+	0.221194i
$601$		−	1.83800i		−	0.0749734i	−0.999297	−	0.0374867i	$-0.988065\pi$
$601$		−	1.83800i		−	0.0749734i	0.999297	−	0.0374867i	$-0.0119352\pi$
$602$	−1.06411	+	17.4073i	−0.0433699	+	0.709468i
$603$	1.20347	−	1.20347i	0.0490089	−	0.0490089i
$604$	−0.143744			−0.00584885
$605$	−2.93169	−	2.09742i	−0.119190	−	0.0852723i
$606$	−22.4295			−0.911137
$607$	18.5863	+	4.98019i	0.754395	+	0.202140i	0.615467	−	0.788163i	$-0.288968\pi$
$607$	18.5863	+	4.98019i	0.754395	+	0.202140i	0.138929	+	0.990302i	$0.455634\pi$
$608$	1.65054	+	0.442261i	0.0669382	+	0.0179360i
$609$	5.38145	−	9.32094i	0.218067	−	0.377704i
$610$	−16.2444	−	6.09975i	−0.657717	−	0.246972i
$611$	17.0723	−	29.5700i	0.690670	−	1.19628i
$612$	−0.0352708	+	0.131632i	−0.00142574	+	0.00532092i
$613$	−16.3720	+	16.3720i	−0.661260	+	0.661260i	−0.955677	−	0.294417i	$-0.904875\pi$
$613$	−16.3720	+	16.3720i	−0.661260	+	0.661260i	0.294417	+	0.955677i	$0.404875\pi$
$614$	1.16050	+	2.01004i	0.0468339	+	0.0811188i
$615$	−3.24967	+	2.67111i	−0.131039	+	0.107709i
$616$	−4.07438	+	7.05703i	−0.164161	+	0.284336i
$617$	11.5101	−	3.08412i	0.463379	−	0.124162i	−0.0195740	−	0.999808i	$-0.506231\pi$
$617$	11.5101	−	3.08412i	0.463379	−	0.124162i	0.482953	+	0.875646i	$0.339564\pi$
$618$	−13.4572	+	13.4572i	−0.541326	+	0.541326i
$619$	40.8905	+	23.6082i	1.64353	+	0.948892i	0.979565	+	0.201129i	$0.0644609\pi$
$619$	40.8905	+	23.6082i	1.64353	+	0.948892i	0.663965	+	0.747764i	$0.268872\pi$
$620$	9.19284	+	0.898299i	0.369193	+	0.0360766i
$621$	−18.6429	+	10.7635i	−0.748112	+	0.431923i
$622$	5.26883	+	1.41178i	0.211261	+	0.0566072i
$623$	29.0211	−	29.0211i	1.16271	−	1.16271i
$624$	5.85880			0.234540
$625$	−19.7871	+	15.2798i	−0.791483	+	0.611192i
$626$	14.2174	+	24.6253i	0.568242	+	0.984223i
$627$	8.32602	−	2.23095i	0.332509	−	0.0890955i
$628$	5.68320	−	1.52281i	0.226784	−	0.0607666i
$629$	2.00307			0.0798676
$630$	0.167421	−	1.71332i	0.00667020	−	0.0682602i
$631$	8.50558	+	4.91070i	0.338602	+	0.195492i	0.659654	−	0.751570i	$-0.270703\pi$
$631$	8.50558	+	4.91070i	0.338602	+	0.195492i	−0.321052	+	0.947062i	$0.604036\pi$
$632$	1.19076	+	4.44396i	0.0473657	+	0.176771i
$633$	−22.6659	−	6.07330i	−0.900887	−	0.241392i
$634$	18.4531			0.732865
$635$	4.02812	+	24.2821i	0.159851	+	0.963607i
$636$	1.52519	+	0.880568i	0.0604777	+	0.0349168i
$637$	−0.184085	−	0.184085i	−0.00729373	−	0.00729373i
$638$	−1.94929	−	7.27485i	−0.0771732	−	0.288014i
$639$	−0.295651	−	0.512083i	−0.0116958	−	0.0202577i
$640$	0.365937	+	2.20592i	0.0144649	+	0.0871967i
$641$		−	37.5641i		−	1.48369i	−0.670570	−	0.741846i	$-0.733950\pi$
$641$		−	37.5641i		−	1.48369i	0.670570	−	0.741846i	$-0.266050\pi$
$642$	6.31083	−	23.5523i	0.249069	−	0.929536i
$643$	24.5416	−	24.5416i	0.967826	−	0.967826i	−0.0316720	−	0.999498i	$-0.510083\pi$
$643$	24.5416	−	24.5416i	0.967826	−	0.967826i	0.999498	+	0.0316720i	$0.0100832\pi$
$644$	−10.5715			−0.416574
$645$	22.0398	+	9.84930i	0.867818	+	0.387816i
$646$	0.804436			0.0316501
$647$	−17.5349	+	17.5349i	−0.689370	+	0.689370i	−0.962093	−	0.272723i	$-0.912076\pi$
$647$	−17.5349	+	17.5349i	−0.689370	+	0.689370i	0.272723	+	0.962093i	$0.412076\pi$
$648$	−2.08292	+	7.77356i	−0.0818248	+	0.305374i
$649$		−	31.7643i		−	1.24686i
$650$	−3.44450	+	17.4565i	−0.135104	+	0.684701i
$651$	9.04340	+	15.6636i	0.354439	+	0.613906i
$652$	−1.69201	−	6.31467i	−0.0662642	−	0.247301i
$653$	13.8286	+	13.8286i	0.541156	+	0.541156i	0.923868	−	0.382712i	$-0.125010\pi$
$653$	13.8286	+	13.8286i	0.541156	+	0.541156i	−0.382712	+	0.923868i	$0.625010\pi$
$654$	18.6770	+	10.7832i	0.730329	+	0.421655i
$655$	16.5221	−	23.0939i	0.645571	−	0.902354i
$656$	−1.14266			−0.0446132
$657$	−4.18460	−	1.12126i	−0.163257	−	0.0437445i
$658$	6.60453	+	24.6485i	0.257472	+	0.960897i
$659$	24.7293	+	14.2775i	0.963319	+	0.556172i	0.897193	−	0.441639i	$-0.145603\pi$
$659$	24.7293	+	14.2775i	0.963319	+	0.556172i	0.0661258	+	0.997811i	$0.478936\pi$
$660$	7.16243	+	8.71382i	0.278797	+	0.339185i
$661$	−24.3576			−0.947402			−0.473701	−	0.880686i	$-0.657082\pi$
$661$	−24.3576			−0.947402			−0.473701	+	0.880686i	$0.657082\pi$
$662$	−14.1742	+	3.79795i	−0.550894	+	0.147612i
$663$	2.66417	−	0.713862i	0.103468	−	0.0277241i
$664$	6.26809	+	10.8567i	0.243249	+	0.421320i
$665$	−10.0249	+	1.66301i	−0.388748	+	0.0644887i
$666$	−1.23168			−0.0477265
$667$	6.90891	−	6.90891i	0.267514	−	0.267514i
$668$	11.2401	+	3.01179i	0.434894	+	0.116530i
$669$	−10.5220	+	6.07489i	−0.406805	+	0.234869i
$670$	1.27859	−	13.0846i	0.0493963	−	0.505502i
$671$	−20.5910	−	11.8882i	−0.794906	−	0.458939i
$672$	−3.09612	+	3.09612i	−0.119436	+	0.119436i
$673$	43.8428	−	11.7476i	1.69001	−	0.452838i	0.719621	−	0.694367i	$-0.244316\pi$
$673$	43.8428	−	11.7476i	1.69001	−	0.452838i	0.970394	+	0.241529i	$0.0776489\pi$
$674$	13.0621	−	22.6242i	0.503134	−	0.871453i
$675$	−24.3042	−	11.9392i	−0.935470	−	0.459541i
$676$	−0.168106	−	0.291169i	−0.00646563	−	0.0111988i
$677$	20.1328	−	20.1328i	0.773765	−	0.773765i	−0.204997	−	0.978763i	$-0.565719\pi$
$677$	20.1328	−	20.1328i	0.773765	−	0.773765i	0.978763	+	0.204997i	$0.0657186\pi$
$678$	0.216181	−	0.806797i	0.00830237	−	0.0309849i
$679$	6.94579	−	12.0305i	0.266555	−	0.461687i
$680$	0.435181	+	0.958510i	0.0166884	+	0.0367572i
$681$	17.1067	−	29.6297i	0.655530	−	1.13541i
$682$	12.2252	+	3.27574i	0.468128	+	0.125434i
$683$	−28.5792	−	7.65777i	−1.09355	−	0.293017i	−0.333416	−	0.942780i	$-0.608201\pi$
$683$	−28.5792	−	7.65777i	−1.09355	−	0.293017i	−0.760137	+	0.649763i	$0.774868\pi$
$684$	−0.494643			−0.0189131
$685$	−14.8452	+	2.46264i	−0.567204	+	0.0940926i
$686$	−18.4222			−0.703364
$687$	−31.2264	+	31.2264i	−1.19136	+	1.19136i
$688$	2.92610	+	5.86838i	0.111557	+	0.223730i
$689$			3.80670i			0.145024i
$690$	−5.14405	+	13.6993i	−0.195831	+	0.521523i
$691$	1.66378	−	0.960586i	0.0632933	−	0.0365424i	−0.468019	−	0.883718i	$-0.655032\pi$
$691$	1.66378	−	0.960586i	0.0632933	−	0.0365424i	0.531313	+	0.847176i	$0.321699\pi$
$692$	1.38151	+	1.38151i	0.0525172	+	0.0525172i
$693$	0.610516	−	2.27848i	0.0231916	−	0.0865522i
$694$	−30.4029	+	17.5531i	−1.15408	+	0.666308i
$695$	41.2081	+	4.02675i	1.56311	+	0.152743i
$696$		−	4.04690i		−	0.153397i
$697$	−0.519599	+	0.139226i	−0.0196812	+	0.00527357i
$698$	7.63122	+	2.04478i	0.288846	+	0.0773961i
$699$			13.0813i			0.494779i
$700$	−7.40475	−	11.0453i	−0.279873	−	0.417473i
$701$	−12.1088	+	20.9731i	−0.457343	+	0.792142i	−0.998820	−	0.0485741i	$-0.984532\pi$
$701$	−12.1088	+	20.9731i	−0.457343	+	0.792142i	0.541476	+	0.840716i	$0.317866\pi$
$702$	−18.6157	+	4.98806i	−0.702603	+	0.188262i
$703$	1.88176	+	7.02284i	0.0709721	+	0.264871i
$704$			3.06397i			0.115478i
$705$	35.1550	+	3.43526i	1.32402	+	0.129379i
$706$	−21.5108	−	12.4193i	−0.809571	−	0.467406i
$707$	34.9980	+	9.37770i	1.31624	+	0.352685i
$708$	4.41750	−	16.4864i	0.166020	−	0.619595i
$709$		−	33.5150i		−	1.25868i	−0.777129	−	0.629342i	$-0.783325\pi$
$709$		−	33.5150i		−	1.25868i	0.777129	−	0.629342i	$-0.216675\pi$
$710$	−4.27605	−	1.60565i	−0.160477	−	0.0602589i
$711$	−0.665895	−	1.15336i	−0.0249730	−	0.0432546i
$712$	3.99410	−	14.9062i	0.149685	−	0.558632i
$713$	4.24965	+	15.8599i	0.159151	+	0.593958i
$714$	−1.03065	+	1.78514i	−0.0385712	+	0.0668073i
$715$	−8.57071	+	22.8249i	−0.320526	+	0.853603i
$716$	6.37931	+	3.68310i	0.238406	+	0.137644i
$717$	−0.503430	−	1.87883i	−0.0188009	−	0.0701660i
$718$	27.0883	−	7.25829i	1.01093	−	0.270877i
$719$	−6.37619	+	3.68129i	−0.237792	+	0.137289i	−0.614161	−	0.789180i	$-0.710506\pi$
$719$	−6.37619	+	3.68129i	−0.237792	+	0.137289i	0.376370	+	0.926470i	$0.377172\pi$
$720$	−0.267590	−	0.589382i	−0.00997251	−	0.0219650i
$721$	26.6243	−	15.3716i	0.991542	−	0.572467i
$722$	−4.16184	−	15.5322i	−0.154888	−	0.578049i
$723$	17.6365	−	17.6365i	0.655908	−	0.655908i
$724$	−10.2760	−	5.93285i	−0.381904	−	0.220492i
$725$	12.0579	+	2.37925i	0.447819	+	0.0883631i
$726$	−1.32704	−	2.29850i	−0.0492510	−	0.0853052i
$727$	17.3305	−	17.3305i	0.642752	−	0.642752i	−0.308479	−	0.951231i	$-0.599820\pi$
$727$	17.3305	−	17.3305i	0.642752	−	0.642752i	0.951231	+	0.308479i	$0.0998199\pi$
$728$	−9.14181	−	2.44954i	−0.338818	−	0.0907860i
$729$		−	29.0782i		−	1.07697i
$730$	−30.4711	+	13.8344i	−1.12778	+	0.512035i
$731$	2.04561	+	2.31200i	0.0756598	+	0.0855123i
$732$	−9.03386	−	9.03386i	−0.333901	−	0.333901i
$733$	7.01952	+	7.01952i	0.259272	+	0.259272i	0.824758	−	0.565486i	$-0.191311\pi$
$733$	7.01952	+	7.01952i	0.259272	+	0.259272i	−0.565486	+	0.824758i	$0.691311\pi$
$734$	2.69222	+	4.66306i	0.0993716	+	0.172117i
$735$	0.0946737	−	0.252128i	0.00349209	−	0.00929989i
$736$	−3.44238	+	1.98746i	−0.126888	+	0.0732588i
$737$	4.66251	−	17.4007i	0.171746	−	0.640964i
$738$	0.319499	−	0.0856094i	0.0117609	−	0.00315133i
$739$	−20.6689			−0.760318			−0.380159	−	0.924921i	$-0.624131\pi$
$739$	−20.6689			−0.760318			−0.380159	+	0.924921i	$0.624131\pi$
$740$	−7.34994	+	6.04138i	−0.270189	+	0.222085i
$741$	5.00565	+	8.67004i	0.183887	+	0.318502i
$742$	−2.01168	−	2.01168i	−0.0738509	−	0.0738509i
$743$	8.09084	−	30.1954i	0.296824	−	1.10776i	−0.642933	−	0.765922i	$-0.722283\pi$
$743$	8.09084	−	30.1954i	0.296824	−	1.10776i	0.939758	−	0.341841i	$-0.111050\pi$
$744$	5.88960	+	3.40036i	0.215923	+	0.124663i
$745$	4.10038	−	41.9616i	0.150226	−	1.53735i
$746$	15.2673	−	26.4437i	0.558976	−	0.968174i
$747$	−2.56602	−	2.56602i	−0.0938858	−	0.0938858i
$748$	0.373328	+	1.39328i	0.0136502	+	0.0509433i
$749$	−19.6943	+	34.1115i	−0.719613	+	1.24641i
$750$	−17.9164	+	4.22100i	−0.654216	+	0.154129i
$751$	−29.8588	+	17.2390i	−1.08956	+	0.629060i	−0.933460	−	0.358681i	$-0.883227\pi$
$751$	−29.8588	+	17.2390i	−1.08956	+	0.629060i	−0.156103	+	0.987741i	$0.549893\pi$
$752$	6.78460	+	6.78460i	0.247409	+	0.247409i
$753$	−3.68384	−	3.68384i	−0.134247	−	0.134247i
$754$	7.57545	−	4.37369i	0.275882	−	0.159280i
$755$	0.187020	−	0.261409i	0.00680636	−	0.00951366i
$756$	7.20161	−	12.4736i	0.261920	−	0.453659i
$757$	5.03653	+	18.7966i	0.183056	+	0.683173i	0.995038	+	0.0994917i	$0.0317217\pi$
$757$	5.03653	+	18.7966i	0.183056	+	0.683173i	−0.811983	+	0.583682i	$0.801612\pi$
$758$	6.46831	+	6.46831i	0.234940	+	0.234940i
$759$	−10.0256	+	17.3648i	−0.363906	+	0.630303i
$760$	−2.95175	+	2.42622i	−0.107071	+	0.0880084i
$761$	−6.68699	−	3.86074i	−0.242403	−	0.139952i	0.373878	−	0.927478i	$-0.378028\pi$
$761$	−6.68699	−	3.86074i	−0.242403	−	0.139952i	−0.616281	+	0.787526i	$0.711361\pi$
$762$	−4.69051	+	17.5052i	−0.169919	+	0.634147i
$763$	−24.6344	−	24.6344i	−0.891824	−	0.891824i
$764$	−4.21764	−	7.30516i	−0.152589	−	0.264291i
$765$	−0.193494	−	0.235405i	−0.00699579	−	0.00851108i
$766$	5.78194			0.208910
$767$	35.6352	−	9.54843i	1.28671	−	0.344774i
$768$	−0.426111	+	1.59027i	−0.0153760	+	0.0573839i
$769$	33.2296	−	19.1851i	1.19829	−	0.691832i	0.238115	−	0.971237i	$-0.423470\pi$
$769$	33.2296	−	19.1851i	1.19829	−	0.691832i	0.960173	+	0.279405i	$0.0901371\pi$
$770$	−7.53273	−	16.5912i	−0.271461	−	0.597907i
$771$	23.4167	+	40.5588i	0.843330	+	1.46069i
$772$	−12.3020	−	12.3020i	−0.442758	−	0.442758i
$773$	−25.0843	−	25.0843i	−0.902221	−	0.902221i	0.0934073	−	0.995628i	$-0.470224\pi$
$773$	−25.0843	−	25.0843i	−0.902221	−	0.902221i	−0.995628	+	0.0934073i	$0.970224\pi$
$774$	−1.25784	−	1.42163i	−0.0452120	−	0.0510995i
$775$	−13.5941	+	15.5492i	−0.488315	+	0.558542i
$776$		−	5.22330i		−	0.187506i
$777$	−17.9955	−	4.82188i	−0.645585	−	0.172984i
$778$	−19.6464	+	19.6464i	−0.704356	+	0.704356i
$779$	−0.976265	−	1.69094i	−0.0349783	−	0.0605842i
$780$	−7.62268	+	10.6547i	−0.272936	+	0.381499i
$781$	−5.42020	−	3.12935i	−0.193950	−	0.111977i
$782$	−1.32319	+	1.32319i	−0.0473172	+	0.0473172i
$783$	3.44544	+	12.8586i	0.123130	+	0.459528i
$784$	0.0633553	−	0.0365782i	0.00226269	−	0.00130636i
$785$	−4.62487	+	12.3166i	−0.165069	+	0.439599i
$786$	18.1060	−	10.4535i	0.645820	−	0.372864i
$787$	6.38866	−	1.71184i	0.227731	−	0.0610204i	−0.143149	−	0.989701i	$-0.545723\pi$
$787$	6.38866	−	1.71184i	0.227731	−	0.0610204i	0.370880	+	0.928681i	$0.379056\pi$
$788$	5.25744	+	19.6210i	0.187289	+	0.698971i
$789$	−0.570584	−	0.329427i	−0.0203133	−	0.0117279i
$790$	−9.63094	−	3.61640i	−0.342654	−	0.128666i
$791$	−0.674638	+	1.16851i	−0.0239874	+	0.0415473i
$792$	−0.229557	−	0.856718i	−0.00815695	−	0.0304422i
$793$	7.14726	−	26.6739i	0.253807	−	0.947219i
$794$	−9.00545	−	15.5979i	−0.319592	−	0.553549i
$795$	−3.58575	+	1.62800i	−0.127174	+	0.0577392i
$796$			0.590431i			0.0209273i
$797$	−2.54067	+	9.48193i	−0.0899953	+	0.335867i	−0.996213	−	0.0869439i	$-0.972290\pi$
$797$	−2.54067	+	9.48193i	−0.0899953	+	0.335867i	0.906218	+	0.422811i	$0.138957\pi$
$798$	−7.22702	−	1.93647i	−0.255834	−	0.0685504i
$799$	3.91182	+	2.25849i	0.138390	+	0.0798997i
$800$	−4.48775	−	2.20456i	−0.158666	−	0.0779431i
$801$			4.46716i			0.157839i
$802$	0.204088	+	0.761666i	0.00720659	+	0.0268954i
$803$	−44.2924	+	11.8681i	−1.56304	+	0.418816i
$804$	4.83990	−	8.38295i	0.170690	−	0.295644i
$805$	13.7542	−	19.2250i	0.484771	−	0.677593i
$806$			14.6998i			0.517777i
$807$	−29.3810	−	7.87261i	−1.03426	−	0.277129i
$808$	13.1594	−	3.52606i	0.462947	−	0.124046i
$809$			39.5537i			1.39063i	0.718704	+	0.695316i	$0.244736\pi$
$809$			39.5537i			1.39063i	−0.718704	+	0.695316i	$0.755264\pi$
$810$	−11.4268	−	13.9019i	−0.401497	−	0.488462i
$811$	6.99129	−	4.03643i	0.245498	−	0.141738i	−0.372203	−	0.928151i	$-0.621398\pi$
$811$	6.99129	−	4.03643i	0.245498	−	0.141738i	0.617701	+	0.786413i	$0.288064\pi$
$812$	−1.69199	+	6.31461i	−0.0593773	+	0.221599i
$813$	−32.5623	−	32.5623i	−1.14201	−	1.14201i
$814$	−11.2902	+	6.51841i	−0.395722	+	0.228470i
$815$	13.6851	+	5.13874i	0.479369	+	0.180002i
$816$			0.775061i			0.0271326i
$817$	−6.18421	+	9.34399i	−0.216358	+	0.326905i
$818$	−9.27692	+	9.27692i	−0.324360	+	0.324360i
$819$	2.73967			0.0957318
$820$	1.48667	−	2.07801i	0.0519168	−	0.0725673i
$821$	37.4254			1.30616			0.653078	−	0.757291i	$-0.273477\pi$
$821$	37.4254			1.30616			0.653078	+	0.757291i	$0.273477\pi$
$822$	−10.7020	−	2.86759i	−0.373275	−	0.100019i
$823$	39.2890	+	10.5274i	1.36953	+	0.366964i	0.867306	−	0.497776i	$-0.165850\pi$
$823$	39.2890	+	10.5274i	1.36953	+	0.366964i	0.502221	+	0.864739i	$0.332516\pi$
$824$	5.77978	−	10.0109i	0.201348	−	0.348746i
$825$	−25.1656	+	1.68820i	−0.876152	+	0.0587755i
$826$	−13.7858	+	23.8776i	−0.479668	+	0.830809i
$827$	−4.38141	+	16.3516i	−0.152356	+	0.568602i	0.846961	+	0.531655i	$0.178430\pi$
$827$	−4.38141	+	16.3516i	−0.152356	+	0.568602i	−0.999317	+	0.0369466i	$0.988237\pi$
$828$	0.813623	−	0.813623i	0.0282753	−	0.0282753i
$829$	−5.98881	−	10.3729i	−0.208000	−	0.360267i	0.743084	−	0.669198i	$-0.233362\pi$
$829$	−5.98881	−	10.3729i	−0.208000	−	0.360267i	−0.951084	+	0.308931i	$0.900029\pi$
$830$	−27.8989	−	2.72620i	−0.968385	−	0.0946279i
$831$	−8.45187	+	14.6391i	−0.293192	+	0.507824i
$832$	−3.43736	+	0.921039i	−0.119169	+	0.0319313i
$833$	0.0243527	−	0.0243527i	0.000843770	−	0.000843770i
$834$	26.4009	+	15.2426i	0.914189	+	0.527807i
$835$	−20.1013	+	16.5225i	−0.695635	+	0.571786i
$836$	−4.53417	+	2.61780i	−0.156817	+	0.0905386i
$837$	−21.6085	−	5.78999i	−0.746900	−	0.200131i
$838$	26.6810	−	26.6810i	0.921681	−	0.921681i
$839$	14.9258			0.515295			0.257648	−	0.966239i	$-0.417053\pi$
$839$	14.9258			0.515295			0.257648	+	0.966239i	$0.417053\pi$
$840$	−1.60228	−	9.65881i	−0.0552840	−	0.333261i
$841$	11.4789	+	19.8821i	0.395825	+	0.685589i
$842$	−17.1872	+	4.60530i	−0.592310	+	0.158709i
$843$	−11.7890	+	3.15885i	−0.406034	+	0.108796i
$844$	14.2528			0.490603
$845$	0.748231	+	0.0731151i	0.0257399	+	0.00251524i
$846$	−2.40536	−	1.38873i	−0.0826979	−	0.0477456i
$847$	1.10966	+	4.14130i	0.0381283	+	0.142297i
$848$	−1.03326	−	0.276861i	−0.0354823	−	0.00950746i
$849$	−36.8692			−1.26535
$850$	−2.30933	−	0.455673i	−0.0792092	−	0.0156295i
$851$	−14.6469	−	8.45640i	−0.502090	−	0.289882i
$852$	−2.37800	−	2.37800i	−0.0814689	−	0.0814689i
$853$	4.79789	+	17.9060i	0.164277	+	0.613089i	0.998131	+	0.0611048i	$0.0194624\pi$
$853$	4.79789	+	17.9060i	0.164277	+	0.613089i	−0.833855	+	0.551984i	$0.813871\pi$
$854$	10.3190	+	17.8731i	0.353109	+	0.611603i
$855$	0.643563	−	0.899547i	0.0220094	−	0.0307638i
$856$			14.8103i			0.506205i
$857$	0.824830	−	3.07831i	0.0281757	−	0.105153i	−0.950406	−	0.311012i	$-0.899332\pi$
$857$	0.824830	−	3.07831i	0.0281757	−	0.105153i	0.978582	+	0.205859i	$0.0659988\pi$
$858$	−12.6934	+	12.6934i	−0.433346	+	0.433346i
$859$	−28.3051			−0.965756			−0.482878	−	0.875688i	$-0.660409\pi$
$859$	−28.3051			−0.965756			−0.482878	+	0.875688i	$0.660409\pi$
$860$	−14.4792	−	2.31380i	−0.493736	−	0.0788999i
$861$	5.00321			0.170509
$862$	−9.71765	+	9.71765i	−0.330984	+	0.330984i
$863$	−11.4547	+	42.7496i	−0.389923	+	1.45521i	0.440334	+	0.897834i	$0.354860\pi$
$863$	−11.4547	+	42.7496i	−0.389923	+	1.45521i	−0.830258	+	0.557380i	$0.811807\pi$
$864$		−	5.41568i		−	0.184245i
$865$	−4.30983	+	0.714950i	−0.146539	+	0.0243090i
$866$	−6.86500	−	11.8905i	−0.233282	−	0.404056i
$867$	−7.14945	−	26.6821i	−0.242808	−	0.906173i
$868$	−7.76819	−	7.76819i	−0.263670	−	0.263670i
$869$	−12.2079	−	7.04825i	−0.414125	−	0.239095i
$870$	7.35961	+	5.26528i	0.249514	+	0.178510i
$871$	20.9229			0.708944
$872$	−12.6530	−	3.39036i	−0.428485	−	0.114812i
$873$	0.391337	+	1.46049i	0.0132448	+	0.0494301i
$874$	−5.88222	−	3.39610i	−0.198969	−	0.114875i
$875$	29.7208	+	0.904529i	1.00475	+	0.0305787i
$876$	−24.6392			−0.832482
$877$	43.0156	−	11.5260i	1.45253	−	0.389205i	0.555628	−	0.831431i	$-0.312478\pi$
$877$	43.0156	−	11.5260i	1.45253	−	0.389205i	0.896904	+	0.442226i	$0.145811\pi$
$878$	−13.4226	+	3.59659i	−0.452992	+	0.121379i
$879$	16.1134	+	27.9093i	0.543493	+	0.941357i
$880$	−5.57207	−	3.98643i	−0.187835	−	0.134382i
$881$	24.1496			0.813622			0.406811	−	0.913512i	$-0.366641\pi$
$881$	24.1496			0.813622			0.406811	+	0.913512i	$0.366641\pi$
$882$	−0.0149743	+	0.0149743i	−0.000504211	+	0.000504211i
$883$	−45.1615	−	12.1010i	−1.51981	−	0.407231i	−0.600128	−	0.799904i	$-0.704884\pi$
$883$	−45.1615	−	12.1010i	−1.51981	−	0.407231i	−0.919678	+	0.392674i	$0.871550\pi$
$884$	−1.45085	+	0.837647i	−0.0487973	+	0.0281731i
$885$	24.2343	+	29.4834i	0.814626	+	0.991074i
$886$	−16.5527	−	9.55670i	−0.556098	−	0.321063i
$887$	24.3702	−	24.3702i	0.818270	−	0.818270i	−0.167587	−	0.985857i	$-0.553598\pi$
$887$	24.3702	−	24.3702i	0.818270	−	0.818270i	0.985857	+	0.167587i	$0.0535975\pi$
$888$	−6.76640	+	1.81305i	−0.227065	+	0.0608420i
$889$	14.6377	−	25.3533i	0.490933	−	0.850321i
$890$	21.9115	+	26.6575i	0.734474	+	0.893561i
$891$	−12.3291	−	21.3546i	−0.413040	−	0.715406i
$892$	5.21827	−	5.21827i	0.174721	−	0.174721i
$893$	−4.24344	+	15.8367i	−0.142001	+	0.529956i
$894$	15.5213	−	26.8836i	0.519109	−	0.899124i
$895$	−14.9979	+	6.80933i	−0.501325	+	0.227611i
$896$	1.32977	−	2.30323i	0.0444245	−	0.0769455i
$897$	−22.4947	−	6.02745i	−0.751077	−	0.201251i
$898$	−6.01838	−	1.61262i	−0.200836	−	0.0538138i
$899$	10.1537			0.338645
$900$	1.41999	+	0.280191i	0.0473330	+	0.00933969i
$901$	−0.503588			−0.0167770
$902$	2.47563	−	2.47563i	0.0824294	−	0.0824294i
$903$	−12.8122	−	25.6952i	−0.426363	−	0.855082i
$904$			0.507334i			0.0168737i
$905$	24.1591	−	10.9687i	0.803075	−	0.364611i
$906$	0.204949	−	0.118328i	0.00680898	−	0.00393117i
$907$	24.9957	+	24.9957i	0.829968	+	0.829968i	0.987512	−	0.157544i	$-0.0503576\pi$
$907$	24.9957	+	24.9957i	0.829968	+	0.829968i	−0.157544	+	0.987512i	$0.550358\pi$
$908$	−5.37856	+	20.0730i	−0.178494	+	0.666147i
$909$	−3.41534	+	1.97185i	−0.113280	+	0.0654020i
$910$	16.3488	−	13.4381i	0.541957	−	0.445468i
$911$			6.67558i			0.221172i	0.993867	+	0.110586i	$0.0352727\pi$
$911$			6.67558i			0.221172i	−0.993867	+	0.110586i	$0.964727\pi$
$912$	−2.71739	+	0.728124i	−0.0899819	+	0.0241106i
$913$	−37.1017	−	9.94137i	−1.22789	−	0.329011i
$914$		−	20.0924i		−	0.664597i
$915$	28.1824	−	4.67514i	0.931682	−	0.154555i
$916$	13.4116	−	23.2296i	0.443132	−	0.767526i
$917$	−32.6224	+	8.74114i	−1.07729	+	0.288658i
$918$	−0.659870	−	2.46267i	−0.0217790	−	0.0812802i
$919$		−	8.80656i		−	0.290502i	−0.989395	−	0.145251i	$-0.953601\pi$
$919$		−	8.80656i		−	0.290502i	0.989395	−	0.145251i	$-0.0463989\pi$
$920$	0.864413	−	8.84606i	0.0284989	−	0.291646i
$921$	−3.30927	−	1.91061i	−0.109044	−	0.0629567i
$922$	5.75101	+	1.54098i	0.189399	+	0.0507494i
$923$	1.88139	−	7.02143i	0.0619266	−	0.231113i
$924$		−	13.4158i		−	0.441349i
$925$	−1.42396	−	21.2267i	−0.0468196	−	0.697929i
$926$	18.3078	+	31.7101i	0.601632	+	1.04206i
$927$	−0.866059	+	3.23218i	−0.0284451	+	0.106159i
$928$	0.636198	+	2.37432i	0.0208842	+	0.0779409i
$929$	−24.3340	+	42.1478i	−0.798374	+	1.38282i	0.122301	+	0.992493i	$0.460973\pi$
$929$	−24.3340	+	42.1478i	−0.798374	+	1.38282i	−0.920675	+	0.390331i	$0.872361\pi$
$930$	−13.8466	+	6.28660i	−0.454047	+	0.206146i
$931$	0.108259	+	0.0625035i	0.00354805	+	0.00204847i
$932$	−2.05645	−	7.67479i	−0.0673614	−	0.251396i
$933$	−8.67443	+	2.32431i	−0.283988	+	0.0760944i
$934$	28.6532	−	16.5429i	0.937561	−	0.541301i
$935$	−3.01951	−	1.13382i	−0.0987485	−	0.0370799i
$936$	0.892117	−	0.515064i	0.0291598	−	0.0168354i
$937$	−12.6087	−	47.0563i	−0.411908	−	1.53726i	−0.790948	−	0.611883i	$-0.790412\pi$
$937$	−12.6087	−	47.0563i	−0.411908	−	1.53726i	0.379040	−	0.925380i	$-0.376254\pi$
$938$	−11.0568	+	11.0568i	−0.361018	+	0.361018i
$939$	−40.5422	−	23.4071i	−1.32305	−	0.763861i
$940$	−21.1655	+	3.51112i	−0.690344	+	0.114520i
$941$	0.239725	+	0.415215i	0.00781480	+	0.0135356i	0.869906	−	0.493217i	$-0.164179\pi$
$941$	0.239725	+	0.415215i	0.00781480	+	0.0135356i	−0.862092	+	0.506753i	$0.830846\pi$
$942$	−6.84953	+	6.84953i	−0.223170	+	0.223170i
$943$	4.38721	+	1.17555i	0.142867	+	0.0382811i
$944$			10.3670i			0.337418i
$945$	13.3144	+	29.3256i	0.433117	+	0.953963i
$946$	−19.0537	−	6.37461i	−0.619490	−	0.207256i
$947$	7.02378	+	7.02378i	0.228242	+	0.228242i	0.811958	−	0.583716i	$-0.198402\pi$
$947$	7.02378	+	7.02378i	0.228242	+	0.228242i	−0.583716	+	0.811958i	$0.698402\pi$
$948$	−5.35597	−	5.35597i	−0.173954	−	0.173954i
$949$	−26.6288	−	46.1225i	−0.864408	−	1.49720i
$950$	−0.571865	−	8.52466i	−0.0185538	−	0.276576i
$951$	−26.3103	+	15.1903i	−0.853171	+	0.492578i
$952$	0.324050	−	1.20937i	0.0105025	−	0.0391959i
$953$	34.9064	−	9.35313i	1.13073	−	0.302978i	0.355511	−	0.934672i	$-0.384307\pi$
$953$	34.9064	−	9.35313i	1.13073	−	0.302978i	0.775217	+	0.631694i	$0.217640\pi$
$954$	0.309653			0.0100254
$955$	18.7724	+	1.83439i	0.607461	+	0.0593595i
$956$	0.590726	+	1.02317i	0.0191054	+	0.0330916i
$957$	8.76783	+	8.76783i	0.283424	+	0.283424i
$958$	−10.2300	+	38.1790i	−0.330518	+	1.23351i
$959$	15.5000	+	8.94893i	0.500521	+	0.288976i
$960$	−2.33763	−	2.84396i	−0.0754467	−	0.0917885i
$961$	6.96848	−	12.0698i	0.224790	−	0.389347i
$962$	−10.7067	−	10.7067i	−0.345196	−	0.345196i
$963$	−1.10961	−	4.14111i	−0.0357566	−	0.133445i
$964$	−7.57479	+	13.1199i	−0.243967	+	0.422564i
$965$	38.3778	−	6.36643i	1.23542	−	0.204943i
$966$	15.0728	−	8.70226i	0.484958	−	0.279991i
$967$	−2.84183	−	2.84183i	−0.0913870	−	0.0913870i	0.659935	−	0.751322i	$-0.270584\pi$
$967$	−2.84183	−	2.84183i	−0.0913870	−	0.0913870i	−0.751322	+	0.659935i	$0.770584\pi$
$968$	1.13991	+	1.13991i	0.0366382	+	0.0366382i
$969$	−1.14696	+	0.662198i	−0.0368457	+	0.0212729i
$970$	9.49899	+	6.79586i	0.304994	+	0.218202i
$971$	13.1034	−	22.6958i	0.420508	−	0.728342i	−0.575481	−	0.817815i	$-0.695185\pi$
$971$	13.1034	−	22.6958i	0.420508	−	0.728342i	0.995989	+	0.0894736i	$0.0285185\pi$
$972$	0.775795	+	2.89531i	0.0248836	+	0.0928670i
$973$	−34.8220	−	34.8220i	−1.11634	−	1.11634i
$974$	−1.68850	+	2.92457i	−0.0541031	+	0.0937094i
$975$	−9.45877	−	27.7249i	−0.302923	−	0.887907i
$976$	6.72035	+	3.88000i	0.215113	+	0.124196i
$977$	−1.45628	+	5.43492i	−0.0465906	+	0.173879i	−0.985301	−	0.170829i	$-0.945355\pi$
$977$	−1.45628	+	5.43492i	−0.0465906	+	0.173879i	0.938710	+	0.344708i	$0.112022\pi$
$978$	7.61059	+	7.61059i	0.243360	+	0.243360i
$979$	23.6416	+	40.9485i	0.755589	+	1.30872i
$980$	−0.0159091	+	0.162807i	−0.000508197	+	0.00520069i
$981$	3.79192			0.121067
$982$	20.9731	−	5.61973i	0.669279	−	0.179333i
$983$	−9.54715	+	35.6305i	−0.304507	+	1.13644i	0.628862	+	0.777517i	$0.283521\pi$
$983$	−9.54715	+	35.6305i	−0.304507	+	1.13644i	−0.933369	+	0.358918i	$0.883146\pi$
$984$	1.62920	−	0.940616i	0.0519368	−	0.0299858i
$985$	−42.5227	−	15.9672i	−1.35489	−	0.508757i
$986$	0.578595	+	1.00216i	0.0184262	+	0.0319152i
$987$	−29.7069	−	29.7069i	−0.945582	−	0.945582i
$988$	−4.29981	−	4.29981i	−0.136795	−	0.136795i
$989$	−5.19741	−	25.5419i	−0.165268	−	0.812184i
$990$	1.85668	+	0.697179i	0.0590091	+	0.0221578i
$991$		−	26.9361i		−	0.855653i	−0.903861	−	0.427827i	$-0.859279\pi$
$991$		−	26.9361i		−	0.855653i	0.903861	−	0.427827i	$-0.140721\pi$
$992$	−3.98999	−	1.06912i	−0.126682	−	0.0339444i
$993$	17.0830	−	17.0830i	0.542114	−	0.542114i
$994$	2.71629	+	4.70476i	0.0861556	+	0.149226i
$995$	−1.07375	−	0.768190i	−0.0340400	−	0.0243532i
$996$	−17.8740	−	10.3196i	−0.566361	−	0.326989i
$997$	−11.2294	+	11.2294i	−0.355640	+	0.355640i	−0.862203	−	0.506563i	$-0.830916\pi$
$997$	−11.2294	+	11.2294i	−0.355640	+	0.355640i	0.506563	+	0.862203i	$0.330916\pi$
$998$	−0.597247	−	2.22896i	−0.0189055	−	0.0705563i
$999$	19.9559	−	11.5215i	0.631376	−	0.364525i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	430.2.l.a.7.14	✓	88
5.3	odd	4	inner	430.2.l.a.93.3	yes	88
43.37	odd	6	inner	430.2.l.a.37.3	yes	88
215.123	even	12	inner	430.2.l.a.123.14	yes	88

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
430.2.l.a.7.14	✓	88	1.1	even	1	trivial
430.2.l.a.37.3	yes	88	43.37	odd	6	inner
430.2.l.a.93.3	yes	88	5.3	odd	4	inner
430.2.l.a.123.14	yes	88	215.123	even	12	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 430 = 2 \cdot 5 \cdot 43 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	430.l (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(0.707107 - 0.707107i) q^{2} +(-0.426111 + 1.59027i) q^{3} -1.00000i q^{4} +(1.81858 + 1.30107i) q^{5} +(0.823184 + 1.42580i) q^{6} +(-0.688340 - 2.56892i) q^{7} +(-0.707107 - 0.707107i) q^{8} +(0.250692 + 0.144737i) q^{9} +O(q^{10})\)	\(q+(0.707107 - 0.707107i) q^{2} +(-0.426111 + 1.59027i) q^{3} -1.00000i q^{4} +(1.81858 + 1.30107i) q^{5} +(0.823184 + 1.42580i) q^{6} +(-0.688340 - 2.56892i) q^{7} +(-0.707107 - 0.707107i) q^{8} +(0.250692 + 0.144737i) q^{9} +(2.20592 - 0.365937i) q^{10} +3.06397 q^{11} +(1.59027 + 0.426111i) q^{12} +(0.921039 + 3.43736i) q^{13} +(-2.30323 - 1.32977i) q^{14} +(-2.84396 + 2.33763i) q^{15} -1.00000 q^{16} +(-0.454729 + 0.121844i) q^{17} +(0.279610 - 0.0749214i) q^{18} +(-0.854382 - 1.47983i) q^{19} +(1.30107 - 1.81858i) q^{20} +4.37858 q^{21} +(2.16655 - 2.16655i) q^{22} +(3.83948 + 1.02879i) q^{23} +(1.42580 - 0.823184i) q^{24} +(1.61446 + 4.73218i) q^{25} +(3.08186 + 1.77931i) q^{26} +(-3.82947 + 3.82947i) q^{27} +(-2.56892 + 0.688340i) q^{28} +(1.22904 - 2.12876i) q^{29} +(-0.358030 + 3.66394i) q^{30} +(2.06537 + 3.57733i) q^{31} +(-0.707107 + 0.707107i) q^{32} +(-1.30559 + 4.87254i) q^{33} +(-0.235385 + 0.407699i) q^{34} +(2.09053 - 5.56736i) q^{35} +(0.144737 - 0.250692i) q^{36} +(-4.10990 - 1.10124i) q^{37} +(-1.65054 - 0.442261i) q^{38} -5.85880 q^{39} +(-0.365937 - 2.20592i) q^{40} +1.14266 q^{41} +(3.09612 - 3.09612i) q^{42} +(-2.92610 - 5.86838i) q^{43} -3.06397i q^{44} +(0.267590 + 0.589382i) q^{45} +(3.44238 - 1.98746i) q^{46} +(-6.78460 - 6.78460i) q^{47} +(0.426111 - 1.59027i) q^{48} +(-0.0633553 + 0.0365782i) q^{49} +(4.48775 + 2.20456i) q^{50} -0.775061i q^{51} +(3.43736 - 0.921039i) q^{52} +(1.03326 + 0.276861i) q^{53} +5.41568i q^{54} +(5.57207 + 3.98643i) q^{55} +(-1.32977 + 2.30323i) q^{56} +(2.71739 - 0.728124i) q^{57} +(-0.636198 - 2.37432i) q^{58} -10.3670i q^{59} +(2.33763 + 2.84396i) q^{60} +(-6.72035 - 3.88000i) q^{61} +(3.98999 + 1.06912i) q^{62} +(0.199256 - 0.743635i) q^{63} +1.00000i q^{64} +(-2.79726 + 7.44945i) q^{65} +(2.52221 + 4.36860i) q^{66} +(1.52172 - 5.67915i) q^{67} +(0.121844 + 0.454729i) q^{68} +(-3.27209 + 5.66743i) q^{69} +(-2.45849 - 5.41495i) q^{70} +(-1.76901 - 1.02134i) q^{71} +(-0.0749214 - 0.279610i) q^{72} +(-14.4559 + 3.87344i) q^{73} +(-3.68483 + 2.12744i) q^{74} +(-8.21338 + 0.550983i) q^{75} +(-1.47983 + 0.854382i) q^{76} +(-2.10905 - 7.87109i) q^{77} +(-4.14280 + 4.14280i) q^{78} +(-3.98435 - 2.30036i) q^{79} +(-1.81858 - 1.30107i) q^{80} +(-4.02389 - 6.96958i) q^{81} +(0.807980 - 0.807980i) q^{82} +(-12.1090 - 3.24460i) q^{83} -4.37858i q^{84} +(-0.985489 - 0.370049i) q^{85} +(-6.21864 - 2.08050i) q^{86} +(2.86159 + 2.86159i) q^{87} +(-2.16655 - 2.16655i) q^{88} +(7.71600 + 13.3645i) q^{89} +(0.605971 + 0.227541i) q^{90} +(8.19632 - 4.73215i) q^{91} +(1.02879 - 3.83948i) q^{92} +(-6.56899 + 1.76016i) q^{93} -9.59488 q^{94} +(0.371599 - 3.80280i) q^{95} +(-0.823184 - 1.42580i) q^{96} +(3.69343 + 3.69343i) q^{97} +(-0.0189343 + 0.0706637i) q^{98} +(0.768113 + 0.443470i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 88 q + 4 q^{6} + 12 q^{7}+O(q^{10}) \) 88 * q + 4 * q^6 + 12 * q^7	\( 88 q + 4 q^{6} + 12 q^{7} + 16 q^{13} - 88 q^{16} + 4 q^{17} - 16 q^{21} + 12 q^{23} - 8 q^{25} + 12 q^{28} - 36 q^{30} - 40 q^{31} + 12 q^{33} - 40 q^{35} - 40 q^{36} + 16 q^{38} - 56 q^{41} - 56 q^{43} + 24 q^{46} + 72 q^{47} + 24 q^{50} - 16 q^{52} + 20 q^{53} + 24 q^{55} - 8 q^{56} + 20 q^{57} + 8 q^{60} + 72 q^{61} + 36 q^{62} - 40 q^{66} - 16 q^{67} + 4 q^{68} + 24 q^{71} + 60 q^{73} - 48 q^{76} - 48 q^{77} + 40 q^{78} + 28 q^{81} + 20 q^{86} - 64 q^{87} - 8 q^{90} + 48 q^{91} - 12 q^{92} - 108 q^{93} + 4 q^{95} - 4 q^{96} - 48 q^{97} - 96 q^{98}+O(q^{100}) \) 88 * q + 4 * q^6 + 12 * q^7 + 16 * q^13 - 88 * q^16 + 4 * q^17 - 16 * q^21 + 12 * q^23 - 8 * q^25 + 12 * q^28 - 36 * q^30 - 40 * q^31 + 12 * q^33 - 40 * q^35 - 40 * q^36 + 16 * q^38 - 56 * q^41 - 56 * q^43 + 24 * q^46 + 72 * q^47 + 24 * q^50 - 16 * q^52 + 20 * q^53 + 24 * q^55 - 8 * q^56 + 20 * q^57 + 8 * q^60 + 72 * q^61 + 36 * q^62 - 40 * q^66 - 16 * q^67 + 4 * q^68 + 24 * q^71 + 60 * q^73 - 48 * q^76 - 48 * q^77 + 40 * q^78 + 28 * q^81 + 20 * q^86 - 64 * q^87 - 8 * q^90 + 48 * q^91 - 12 * q^92 - 108 * q^93 + 4 * q^95 - 4 * q^96 - 48 * q^97 - 96 * q^98

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