LMFDB - Embedded newform 966.2.s.b.181.3

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [966,2,Mod(97,966)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(966, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([0, 11, 1]))

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

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

chi := DirichletCharacter("966.97");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 966 = 2 \cdot 3 \cdot 7 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	966.s (of order $22$, degree $10$, 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:	$7.71354883526$
Analytic rank:	$0$
Dimension:	$160$
Relative dimension:	$16$ over $\Q(\zeta_{22})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label			181.3
Character	$\chi$	$=$	966.181
Dual form			966.2.s.b.475.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.142315 + 0.989821i) q^{2} +(-0.909632 - 0.415415i) q^{3} +(-0.959493 + 0.281733i) q^{4} +(-0.762866 + 0.880394i) q^{5} +(0.281733 - 0.959493i) q^{6} +(2.62112 + 0.360195i) q^{7} +(-0.415415 - 0.909632i) q^{8} +(0.654861 + 0.755750i) q^{9} +O(q^{10})$	\(q+(0.142315 + 0.989821i) q^{2} +(-0.909632 - 0.415415i) q^{3} +(-0.959493 + 0.281733i) q^{4} +(-0.762866 + 0.880394i) q^{5} +(0.281733 - 0.959493i) q^{6} +(2.62112 + 0.360195i) q^{7} +(-0.415415 - 0.909632i) q^{8} +(0.654861 + 0.755750i) q^{9} +(-0.980000 - 0.629808i) q^{10} +(-1.48845 - 0.214007i) q^{11} +(0.989821 + 0.142315i) q^{12} +(2.50594 - 3.89933i) q^{13} +(0.0164952 + 2.64570i) q^{14} +(1.05966 - 0.483929i) q^{15} +(0.841254 - 0.540641i) q^{16} +(0.0819537 + 0.0240638i) q^{17} +(-0.654861 + 0.755750i) q^{18} +(2.87142 - 0.843124i) q^{19} +(0.483929 - 1.05966i) q^{20} +(-2.23462 - 1.41650i) q^{21} -1.50376i q^{22} +(2.66361 + 3.98813i) q^{23} +1.00000i q^{24} +(0.518445 + 3.60586i) q^{25} +(4.21627 + 1.92551i) q^{26} +(-0.281733 - 0.959493i) q^{27} +(-2.61642 + 0.392850i) q^{28} +(-0.378333 - 0.111089i) q^{29} +(0.629808 + 0.980000i) q^{30} +(0.444618 - 0.203050i) q^{31} +(0.654861 + 0.755750i) q^{32} +(1.26504 + 0.812993i) q^{33} +(-0.0121556 + 0.0845442i) q^{34} +(-2.31667 + 2.03284i) q^{35} +(-0.841254 - 0.540641i) q^{36} +(-0.323135 + 0.279998i) q^{37} +(1.24319 + 2.72220i) q^{38} +(-3.89933 + 2.50594i) q^{39} +(1.11774 + 0.328198i) q^{40} +(0.651811 + 0.564798i) q^{41} +(1.08406 - 2.41347i) q^{42} +(5.61434 + 2.56398i) q^{43} +(1.48845 - 0.214007i) q^{44} -1.16493 q^{45} +(-3.56847 + 3.20407i) q^{46} -0.843843i q^{47} +(-0.989821 + 0.142315i) q^{48} +(6.74052 + 1.88823i) q^{49} +(-3.49538 + 1.02634i) q^{50} +(-0.0645513 - 0.0559340i) q^{51} +(-1.30587 + 4.44738i) q^{52} +(5.02353 + 7.81676i) q^{53} +(0.909632 - 0.415415i) q^{54} +(1.32390 - 1.14717i) q^{55} +(-0.761207 - 2.53388i) q^{56} +(-2.96218 - 0.425897i) q^{57} +(0.0561155 - 0.390292i) q^{58} +(1.84470 - 2.87040i) q^{59} +(-0.880394 + 0.762866i) q^{60} +(3.08773 + 6.76119i) q^{61} +(0.264259 + 0.411196i) q^{62} +(1.44425 + 2.21679i) q^{63} +(-0.654861 + 0.755750i) q^{64} +(1.52124 + 5.18088i) q^{65} +(-0.624683 + 1.36787i) q^{66} +(1.93324 - 0.277957i) q^{67} -0.0854136 q^{68} +(-0.766174 - 4.73423i) q^{69} +(-2.34184 - 2.00379i) q^{70} +(1.05293 + 7.32327i) q^{71} +(0.415415 - 0.909632i) q^{72} +(3.47582 + 11.8376i) q^{73} +(-0.323135 - 0.279998i) q^{74} +(1.02634 - 3.49538i) q^{75} +(-2.51757 + 1.61794i) q^{76} +(-3.82432 - 1.09707i) q^{77} +(-3.03537 - 3.50300i) q^{78} +(0.704194 - 1.09575i) q^{79} +(-0.165787 + 1.15307i) q^{80} +(-0.142315 + 0.989821i) q^{81} +(-0.466286 + 0.725556i) q^{82} +(-1.98648 - 2.29252i) q^{83} +(2.54318 + 0.729553i) q^{84} +(-0.0837053 + 0.0537941i) q^{85} +(-1.73888 + 5.92209i) q^{86} +(0.297996 + 0.258215i) q^{87} +(0.423657 + 1.44284i) q^{88} +(-3.50493 + 7.67472i) q^{89} +(-0.165787 - 1.15307i) q^{90} +(7.97289 - 9.31796i) q^{91} +(-3.67930 - 3.07616i) q^{92} -0.488789 q^{93} +(0.835254 - 0.120091i) q^{94} +(-1.44822 + 3.17117i) q^{95} +(-0.281733 - 0.959493i) q^{96} +(2.61544 - 3.01838i) q^{97} +(-0.909732 + 6.94063i) q^{98} +(-0.812993 - 1.26504i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 160 q + 16 q^{2} - 16 q^{4} + 16 q^{8} + 16 q^{9}+O(q^{10}) $ 160 * q + 16 * q^2 - 16 * q^4 + 16 * q^8 + 16 * q^9	$ 160 q + 16 q^{2} - 16 q^{4} + 16 q^{8} + 16 q^{9} + 22 q^{14} - 16 q^{16} - 16 q^{18} - 52 q^{23} - 48 q^{25} + 22 q^{28} - 12 q^{29} + 16 q^{32} + 22 q^{35} + 16 q^{36} + 22 q^{37} - 4 q^{39} + 154 q^{43} + 8 q^{46} + 4 q^{50} + 22 q^{51} + 88 q^{53} + 22 q^{57} + 56 q^{58} - 16 q^{64} + 16 q^{71} - 16 q^{72} + 22 q^{74} - 72 q^{77} + 4 q^{78} + 88 q^{79} - 16 q^{81} - 22 q^{84} - 68 q^{85} - 44 q^{86} + 44 q^{88} - 8 q^{92} - 8 q^{93} - 66 q^{95} + 66 q^{98} - 66 q^{99}+O(q^{100}) $ 160 * q + 16 * q^2 - 16 * q^4 + 16 * q^8 + 16 * q^9 + 22 * q^14 - 16 * q^16 - 16 * q^18 - 52 * q^23 - 48 * q^25 + 22 * q^28 - 12 * q^29 + 16 * q^32 + 22 * q^35 + 16 * q^36 + 22 * q^37 - 4 * q^39 + 154 * q^43 + 8 * q^46 + 4 * q^50 + 22 * q^51 + 88 * q^53 + 22 * q^57 + 56 * q^58 - 16 * q^64 + 16 * q^71 - 16 * q^72 + 22 * q^74 - 72 * q^77 + 4 * q^78 + 88 * q^79 - 16 * q^81 - 22 * q^84 - 68 * q^85 - 44 * q^86 + 44 * q^88 - 8 * q^92 - 8 * q^93 - 66 * q^95 + 66 * q^98 - 66 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/966\mathbb{Z}\right)^\times$.

$n$	$323$	$829$	$925$
$\chi(n)$	$1$	$-1$	$e\left(\frac{5}{22}\right)$

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 $

$2$	0.142315	+	0.989821i	0.100632	+	0.699909i
$2$	0.142315	+	0.989821i	0.100632	+	0.699909i
$3$	−0.909632	−	0.415415i	−0.525176	−	0.239840i
$3$	−0.909632	−	0.415415i	−0.525176	−	0.239840i
$4$	−0.959493	+	0.281733i	−0.479746	+	0.140866i
$5$	−0.762866	+	0.880394i	−0.341164	+	0.393724i	−0.900241	−	0.435391i	$-0.856610\pi$
$5$	−0.762866	+	0.880394i	−0.341164	+	0.393724i	0.559077	+	0.829115i	$0.311155\pi$
$6$	0.281733	−	0.959493i	0.115017	−	0.391711i
$7$	2.62112	+	0.360195i	0.990689	+	0.136141i
$7$	2.62112	+	0.360195i	0.990689	+	0.136141i
$8$	−0.415415	−	0.909632i	−0.146871	−	0.321603i
$9$	0.654861	+	0.755750i	0.218287	+	0.251917i
$10$	−0.980000	−	0.629808i	−0.309903	−	0.199163i
$11$	−1.48845	−	0.214007i	−0.448785	−	0.0645255i	−0.0857829	−	0.996314i	$-0.527339\pi$
$11$	−1.48845	−	0.214007i	−0.448785	−	0.0645255i	−0.363002	+	0.931788i	$0.618248\pi$
$12$	0.989821	+	0.142315i	0.285737	+	0.0410828i
$13$	2.50594	−	3.89933i	0.695024	−	1.08148i	−0.296933	−	0.954898i	$-0.595964\pi$
$13$	2.50594	−	3.89933i	0.695024	−	1.08148i	0.991956	−	0.126580i	$-0.0404000\pi$
$14$	0.0164952	+	2.64570i	0.00440852	+	0.707093i
$15$	1.05966	−	0.483929i	0.273602	−	0.124950i
$16$	0.841254	−	0.540641i	0.210313	−	0.135160i
$17$	0.0819537	+	0.0240638i	0.0198767	+	0.00583633i	0.291656	−	0.956523i	$-0.405794\pi$
$17$	0.0819537	+	0.0240638i	0.0198767	+	0.00583633i	−0.271779	+	0.962360i	$0.587612\pi$
$18$	−0.654861	+	0.755750i	−0.154352	+	0.178132i
$19$	2.87142	−	0.843124i	0.658748	−	0.193426i	0.0647616	−	0.997901i	$-0.479371\pi$
$19$	2.87142	−	0.843124i	0.658748	−	0.193426i	0.593987	+	0.804475i	$0.297553\pi$
$20$	0.483929	−	1.05966i	0.108210	−	0.236946i
$21$	−2.23462	−	1.41650i	−0.487635	−	0.309105i
$22$		−	1.50376i		−	0.320602i
$23$	2.66361	+	3.98813i	0.555401	+	0.831583i
$23$	2.66361	+	3.98813i	0.555401	+	0.831583i
$24$			1.00000i			0.204124i
$25$	0.518445	+	3.60586i	0.103689	+	0.721172i
$26$	4.21627	+	1.92551i	0.826878	+	0.377623i
$27$	−0.281733	−	0.959493i	−0.0542195	−	0.184655i
$28$	−2.61642	+	0.392850i	−0.494457	+	0.0742416i
$29$	−0.378333	−	0.111089i	−0.0702547	−	0.0206287i	0.246416	−	0.969164i	$-0.420747\pi$
$29$	−0.378333	−	0.111089i	−0.0702547	−	0.0206287i	−0.316671	+	0.948535i	$0.602565\pi$
$30$	0.629808	+	0.980000i	0.114987	+	0.178923i
$31$	0.444618	−	0.203050i	0.0798558	−	0.0364689i	−0.375087	−	0.926990i	$-0.622387\pi$
$31$	0.444618	−	0.203050i	0.0798558	−	0.0364689i	0.454943	+	0.890521i	$0.349660\pi$
$32$	0.654861	+	0.755750i	0.115764	+	0.133599i
$33$	1.26504	+	0.812993i	0.220215	+	0.141524i
$34$	−0.0121556	+	0.0845442i	−0.00208467	+	0.0144992i
$35$	−2.31667	+	2.03284i	−0.391589	+	0.343612i
$36$	−0.841254	−	0.540641i	−0.140209	−	0.0901068i
$37$	−0.323135	+	0.279998i	−0.0531230	+	0.0460314i	−0.681018	−	0.732267i	$-0.738462\pi$
$37$	−0.323135	+	0.279998i	−0.0531230	+	0.0460314i	0.627895	+	0.778298i	$0.283917\pi$
$38$	1.24319	+	2.72220i	0.201672	+	0.441599i
$39$	−3.89933	+	2.50594i	−0.624392	+	0.401272i
$40$	1.11774	+	0.328198i	0.176730	+	0.0518927i
$41$	0.651811	+	0.564798i	0.101796	+	0.0882066i	0.704272	−	0.709930i	$-0.251274\pi$
$41$	0.651811	+	0.564798i	0.101796	+	0.0882066i	−0.602476	+	0.798137i	$0.705819\pi$
$42$	1.08406	−	2.41347i	0.167274	−	0.372406i
$43$	5.61434	+	2.56398i	0.856179	+	0.391004i	0.794625	−	0.607100i	$-0.207667\pi$
$43$	5.61434	+	2.56398i	0.856179	+	0.391004i	0.0615535	+	0.998104i	$0.480395\pi$
$44$	1.48845	−	0.214007i	0.224393	−	0.0322628i
$45$	−1.16493			−0.173657
$46$	−3.56847	+	3.20407i	−0.526142	+	0.472414i
$47$		−	0.843843i		−	0.123087i	−0.998104	−	0.0615436i	$-0.980398\pi$
$47$		−	0.843843i		−	0.123087i	0.998104	−	0.0615436i	$-0.0196023\pi$
$48$	−0.989821	+	0.142315i	−0.142868	+	0.0205414i
$49$	6.74052	+	1.88823i	0.962931	+	0.269747i
$50$	−3.49538	+	1.02634i	−0.494321	+	0.145146i
$51$	−0.0645513	−	0.0559340i	−0.00903899	−	0.00783233i
$52$	−1.30587	+	4.44738i	−0.181091	+	0.616741i
$53$	5.02353	+	7.81676i	0.690035	+	1.07371i	0.992699	+	0.120618i	$0.0384875\pi$
$53$	5.02353	+	7.81676i	0.690035	+	1.07371i	−0.302664	+	0.953097i	$0.597876\pi$
$54$	0.909632	−	0.415415i	0.123785	−	0.0565308i
$55$	1.32390	−	1.14717i	0.178515	−	0.154684i
$56$	−0.761207	−	2.53388i	−0.101721	−	0.338604i
$57$	−2.96218	−	0.425897i	−0.392350	−	0.0564115i
$58$	0.0561155	−	0.390292i	0.00736833	−	0.0512479i
$59$	1.84470	−	2.87040i	0.240159	−	0.373695i	−0.700162	−	0.713984i	$-0.746889\pi$
$59$	1.84470	−	2.87040i	0.240159	−	0.373695i	0.940321	+	0.340290i	$0.110525\pi$
$60$	−0.880394	+	0.762866i	−0.113658	+	0.0984855i
$61$	3.08773	+	6.76119i	0.395344	+	0.865682i	0.997721	+	0.0674706i	$0.0214929\pi$
$61$	3.08773	+	6.76119i	0.395344	+	0.865682i	−0.602378	+	0.798211i	$0.705780\pi$
$62$	0.264259	+	0.411196i	0.0335610	+	0.0522219i
$63$	1.44425	+	2.21679i	0.181958	+	0.279289i
$64$	−0.654861	+	0.755750i	−0.0818576	+	0.0944687i
$65$	1.52124	+	5.18088i	0.188687	+	0.642609i
$66$	−0.624683	+	1.36787i	−0.0768932	+	0.168373i
$67$	1.93324	−	0.277957i	0.236182	−	0.0339579i	−0.0232072	−	0.999731i	$-0.507388\pi$
$67$	1.93324	−	0.277957i	0.236182	−	0.0339579i	0.259390	+	0.965773i	$0.416479\pi$
$68$	−0.0854136			−0.0103579
$69$	−0.766174	−	4.73423i	−0.0922365	−	0.569935i
$70$	−2.34184	−	2.00379i	−0.279904	−	0.239499i
$71$	1.05293	+	7.32327i	0.124959	+	0.869112i	0.951810	+	0.306690i	$0.0992214\pi$
$71$	1.05293	+	7.32327i	0.124959	+	0.869112i	−0.826850	+	0.562422i	$0.809870\pi$
$72$	0.415415	−	0.909632i	0.0489571	−	0.107201i
$73$	3.47582	+	11.8376i	0.406814	+	1.38548i	0.867287	+	0.497808i	$0.165862\pi$
$73$	3.47582	+	11.8376i	0.406814	+	1.38548i	−0.460473	+	0.887674i	$0.652320\pi$
$74$	−0.323135	−	0.279998i	−0.0375637	−	0.0325491i
$75$	1.02634	−	3.49538i	0.118511	−	0.403611i
$76$	−2.51757	+	1.61794i	−0.288785	+	0.185591i
$77$	−3.82432	−	1.09707i	−0.435822	−	0.125023i
$78$	−3.03537	−	3.50300i	−0.343688	−	0.396637i
$79$	0.704194	−	1.09575i	0.0792280	−	0.123281i	−0.799378	−	0.600828i	$-0.794838\pi$
$79$	0.704194	−	1.09575i	0.0792280	−	0.123281i	0.878606	+	0.477547i	$0.158474\pi$
$80$	−0.165787	+	1.15307i	−0.0185355	+	0.128917i
$81$	−0.142315	+	0.989821i	−0.0158128	+	0.109980i
$82$	−0.466286	+	0.725556i	−0.0514927	+	0.0801242i
$83$	−1.98648	−	2.29252i	−0.218045	−	0.251637i	0.636180	−	0.771540i	$-0.280513\pi$
$83$	−1.98648	−	2.29252i	−0.218045	−	0.251637i	−0.854225	+	0.519903i	$0.825968\pi$
$84$	2.54318	+	0.729553i	0.277483	+	0.0796007i
$85$	−0.0837053	+	0.0537941i	−0.00907911	+	0.00583479i
$86$	−1.73888	+	5.92209i	−0.187508	+	0.638595i
$87$	0.297996	+	0.258215i	0.0319485	+	0.0276836i
$88$	0.423657	+	1.44284i	0.0451620	+	0.153808i
$89$	−3.50493	+	7.67472i	−0.371521	+	0.813518i	0.627859	+	0.778327i	$0.283931\pi$
$89$	−3.50493	+	7.67472i	−0.371521	+	0.813518i	−0.999381	+	0.0351915i	$0.988796\pi$
$90$	−0.165787	−	1.15307i	−0.0174754	−	0.121544i
$91$	7.97289	−	9.31796i	0.835786	−	0.976788i
$92$	−3.67930	−	3.07616i	−0.383594	−	0.320712i
$93$	−0.488789			−0.0506851
$94$	0.835254	−	0.120091i	0.0861498	−	0.0123865i
$95$	−1.44822	+	3.17117i	−0.148585	+	0.325355i
$96$	−0.281733	−	0.959493i	−0.0287542	−	0.0979278i
$97$	2.61544	−	3.01838i	0.265558	−	0.306470i	−0.607273	−	0.794494i	$-0.707736\pi$
$97$	2.61544	−	3.01838i	0.265558	−	0.306470i	0.872831	+	0.488023i	$0.162282\pi$
$98$	−0.909732	+	6.94063i	−0.0918968	+	0.701110i
$99$	−0.812993	−	1.26504i	−0.0817088	−	0.127141i
$100$	−1.51333	−	3.31374i	−0.151333	−	0.331374i
$101$	−6.86500	+	5.94856i	−0.683093	+	0.591903i	−0.925717	−	0.378217i	$-0.876537\pi$
$101$	−6.86500	+	5.94856i	−0.683093	+	0.591903i	0.242624	+	0.970120i	$0.421992\pi$
$102$	0.0461781	−	0.0718545i	0.00457231	−	0.00711465i
$103$	0.572989	−	3.98523i	0.0564583	−	0.392676i	−0.941924	−	0.335825i	$-0.890985\pi$
$103$	0.572989	−	3.98523i	0.0564583	−	0.392676i	0.998383	−	0.0568511i	$-0.0181060\pi$
$104$	−4.58796	−	0.659649i	−0.449886	−	0.0646839i
$105$	2.95179	−	0.886751i	0.288065	−	0.0865381i
$106$	−7.02228	+	6.08484i	−0.682064	+	0.591012i
$107$	8.49835	−	3.88107i	0.821566	−	0.375197i	0.0401399	−	0.999194i	$-0.487220\pi$
$107$	8.49835	−	3.88107i	0.821566	−	0.375197i	0.781427	+	0.623997i	$0.214492\pi$
$108$	0.540641	+	0.841254i	0.0520232	+	0.0809497i
$109$	3.46222	−	11.7912i	0.331620	−	1.12940i	−0.609911	−	0.792470i	$-0.708795\pi$
$109$	3.46222	−	11.7912i	0.331620	−	1.12940i	0.941531	−	0.336925i	$-0.109387\pi$
$110$	1.32390	+	1.14717i	0.126229	+	0.109378i
$111$	0.410249	−	0.120460i	0.0389391	−	0.0114336i
$112$	2.39976	−	1.11407i	0.226756	−	0.105270i
$113$	1.29241	−	0.185821i	0.121580	−	0.0174806i	−0.0812561	−	0.996693i	$-0.525893\pi$
$113$	1.29241	−	0.185821i	0.121580	−	0.0174806i	0.202836	+	0.979213i	$0.434984\pi$
$114$		−	2.99264i		−	0.280286i
$115$	−5.54310	−	0.697383i	−0.516897	−	0.0650313i
$116$	0.394306			0.0366103
$117$	4.58796	−	0.659649i	0.424157	−	0.0609845i
$118$	3.10371	+	1.41742i	0.285720	+	0.130484i
$119$	0.206143	+	0.0925933i	0.0188971	+	0.00848802i
$120$	−0.880394	−	0.762866i	−0.0803686	−	0.0696398i
$121$	−8.38473	−	2.46198i	−0.762249	−	0.223816i
$122$	−6.25294	+	4.01852i	−0.566115	+	0.363820i
$123$	−0.358283	−	0.784530i	−0.0323053	−	0.0707387i
$124$	−0.369402	+	0.320089i	−0.0331733	+	0.0287448i
$125$	−8.47008	−	5.44339i	−0.757587	−	0.486872i
$126$	−1.98868	+	1.74503i	−0.177166	+	0.155460i
$127$	1.25347	−	8.71805i	0.111227	−	0.773601i	−0.855502	−	0.517799i	$-0.826751\pi$
$127$	1.25347	−	8.71805i	0.111227	−	0.773601i	0.966729	−	0.255802i	$-0.0823395\pi$
$128$	−0.841254	−	0.540641i	−0.0743570	−	0.0477863i
$129$	−4.04187	−	4.66456i	−0.355867	−	0.410692i
$130$	−4.91165	+	2.24308i	−0.430780	+	0.196731i
$131$	−5.41301	−	8.42280i	−0.472937	−	0.735904i	0.520049	−	0.854136i	$-0.325914\pi$
$131$	−5.41301	−	8.42280i	−0.472937	−	0.735904i	−0.992986	+	0.118233i	$0.962277\pi$
$132$	−1.44284	−	0.423657i	−0.125584	−	0.0368746i
$133$	7.83001	−	1.17566i	0.678948	−	0.101942i
$134$	0.550256	+	1.87400i	0.0475349	+	0.161889i
$135$	1.05966	+	0.483929i	0.0912007	+	0.0416499i
$136$	−0.0121556	−	0.0845442i	−0.00104234	−	0.00724960i
$137$		−	15.7253i		−	1.34350i	−0.740776	−	0.671752i	$-0.765542\pi$
$137$		−	15.7253i		−	1.34350i	0.740776	−	0.671752i	$-0.234458\pi$
$138$	4.57701	−	1.43213i	0.389621	−	0.121911i
$139$		−	19.1759i		−	1.62648i	−0.581929	−	0.813239i	$-0.697702\pi$
$139$		−	19.1759i		−	1.62648i	0.581929	−	0.813239i	$-0.302298\pi$
$140$	1.65012	−	2.60317i	0.139460	−	0.220008i
$141$	−0.350545	+	0.767586i	−0.0295212	+	0.0646424i
$142$	−7.09888	+	2.08442i	−0.595725	+	0.174921i
$143$	−4.56446	+	5.26767i	−0.381699	+	0.440504i
$144$	0.959493	+	0.281733i	0.0799577	+	0.0234777i
$145$	0.386419	−	0.248337i	0.0320904	−	0.0206232i
$146$	−11.2224	+	5.12510i	−0.928773	+	0.424157i
$147$	−5.34699	−	4.51770i	−0.441013	−	0.372614i
$148$	0.231161	−	0.359694i	0.0190013	−	0.0295666i
$149$	2.80240	+	0.402925i	0.229582	+	0.0330089i	0.256146	−	0.966638i	$-0.417547\pi$
$149$	2.80240	+	0.402925i	0.229582	+	0.0330089i	−0.0265636	+	0.999647i	$0.508456\pi$
$150$	3.60586	+	0.518445i	0.294417	+	0.0423308i
$151$	−6.88850	−	4.42697i	−0.560578	−	0.360262i	0.229461	−	0.973318i	$-0.426304\pi$
$151$	−6.88850	−	4.42697i	−0.560578	−	0.360262i	−0.790039	+	0.613056i	$0.789940\pi$
$152$	−1.95976	−	2.26169i	−0.158958	−	0.183447i
$153$	0.0354821	+	0.0776949i	0.00286856	+	0.00628126i
$154$	0.541646	−	3.94153i	0.0436471	−	0.317617i
$155$	−0.160420	+	0.546339i	−0.0128852	+	0.0438830i
$156$	3.03537	−	3.50300i	0.243024	−	0.280465i
$157$	−7.35708	+	2.16023i	−0.587159	+	0.172405i	−0.561800	−	0.827273i	$-0.689891\pi$
$157$	−7.35708	+	2.16023i	−0.587159	+	0.172405i	−0.0253586	+	0.999678i	$0.508073\pi$
$158$	1.18481	+	0.541085i	0.0942585	+	0.0430464i
$159$	−1.32236	−	9.19723i	−0.104870	−	0.729388i
$160$	−1.16493			−0.0920957
$161$	5.54513	+	11.4128i	0.437017	+	0.899453i
$162$	−1.00000			−0.0785674
$163$	−0.350876	−	2.44039i	−0.0274827	−	0.191146i	0.971455	−	0.237223i	$-0.0762372\pi$
$163$	−0.350876	−	2.44039i	−0.0274827	−	0.191146i	−0.998938	+	0.0460767i	$0.985328\pi$
$164$	−0.784530	−	0.358283i	−0.0612615	−	0.0279772i
$165$	−1.68081	+	0.493531i	−0.130851	+	0.0384213i
$166$	1.98648	−	2.29252i	0.154181	−	0.177934i
$167$	1.27014	−	4.32569i	0.0982863	−	0.334732i	−0.895640	−	0.444780i	$-0.853282\pi$
$167$	1.27014	−	4.32569i	0.0982863	−	0.334732i	0.993926	+	0.110047i	$0.0351002\pi$
$168$	−0.360195	+	2.62112i	−0.0277897	+	0.202224i
$169$	−3.52459	−	7.71777i	−0.271122	−	0.593674i
$170$	−0.0651591	−	0.0751976i	−0.00499747	−	0.00576739i
$171$	2.51757	+	1.61794i	0.192523	+	0.123727i
$172$	−6.10928	−	0.878382i	−0.465828	−	0.0669760i
$173$	−7.81439	−	1.12354i	−0.594117	−	0.0854212i	−0.161304	−	0.986905i	$-0.551570\pi$
$173$	−7.81439	−	1.12354i	−0.594117	−	0.0854212i	−0.432813	+	0.901484i	$0.642479\pi$
$174$	−0.213178	+	0.331711i	−0.0161610	+	0.0251469i
$175$	0.0600910	+	9.63813i	0.00454245	+	0.728574i
$176$	−1.36787	+	0.624683i	−0.103107	+	0.0470873i
$177$	−2.87040	+	1.84470i	−0.215753	+	0.138656i
$178$	−8.09540	−	2.37702i	−0.606776	−	0.178166i
$179$	12.9147	−	14.9043i	0.965288	−	1.11400i	−0.0281474	−	0.999604i	$-0.508961\pi$
$179$	12.9147	−	14.9043i	0.965288	−	1.11400i	0.993435	−	0.114398i	$-0.0364938\pi$
$180$	1.11774	−	0.328198i	0.0833115	−	0.0244624i
$181$	2.94267	−	6.44355i	0.218727	−	0.478945i	−0.768180	−	0.640234i	$-0.778838\pi$
$181$	2.94267	−	6.44355i	0.218727	−	0.478945i	0.986907	+	0.161288i	$0.0515648\pi$
$182$	10.3578	+	6.56566i	0.767770	+	0.486679i
$183$		−	7.43289i		−	0.549455i
$184$	2.52123	−	4.07963i	0.185867	−	0.300755i
$185$		−	0.498087i		−	0.0366201i
$186$	−0.0695620	−	0.483814i	−0.00510053	−	0.0354750i
$187$	−0.116834	−	0.0533564i	−0.00854377	−	0.00390181i
$188$	0.237738	+	0.809661i	0.0173388	+	0.0590506i
$189$	−0.392850	−	2.61642i	−0.0285756	−	0.190317i
$190$	−3.34500	−	0.982179i	−0.242671	−	0.0712548i
$191$	14.4363	+	22.4633i	1.04457	+	1.62539i	0.739623	+	0.673022i	$0.235004\pi$
$191$	14.4363	+	22.4633i	1.04457	+	1.62539i	0.304952	+	0.952368i	$0.401360\pi$
$192$	0.909632	−	0.415415i	0.0656470	−	0.0299800i
$193$	10.9756	+	12.6666i	0.790044	+	0.911760i	0.997792	−	0.0664230i	$-0.0211587\pi$
$193$	10.9756	+	12.6666i	0.790044	+	0.911760i	−0.207747	+	0.978183i	$0.566613\pi$
$194$	3.35988	+	2.15926i	0.241225	+	0.155026i
$195$	0.768443	−	5.34464i	0.0550294	−	0.382738i
$196$	−6.99946	+	0.0872826i	−0.499961	+	0.00623447i
$197$	2.53207	+	1.62726i	0.180403	+	0.115938i	0.627725	−	0.778435i	$-0.283986\pi$
$197$	2.53207	+	1.62726i	0.180403	+	0.115938i	−0.447323	+	0.894373i	$0.647622\pi$
$198$	1.13646	−	0.984752i	0.0807650	−	0.0699833i
$199$	1.09969	+	2.40798i	0.0779547	+	0.170697i	0.944596	−	0.328234i	$-0.106453\pi$
$199$	1.09969	+	2.40798i	0.0779547	+	0.170697i	−0.866642	+	0.498931i	$0.833726\pi$
$200$	3.06464	−	1.96952i	0.216703	−	0.139266i
$201$	−1.87400	−	0.550256i	−0.132182	−	0.0388121i
$202$	−6.86500	−	5.94856i	−0.483020	−	0.418539i
$203$	−0.951643	−	0.427450i	−0.0667922	−	0.0300011i
$204$	0.0776949	+	0.0354821i	0.00543973	+	0.00248424i
$205$	−0.994489	+	0.142986i	−0.0694581	+	0.00998657i
$206$	4.02621			0.280519
$207$	−1.26974	+	4.62469i	−0.0882527	+	0.321438i
$208$		−	4.63514i		−	0.321389i
$209$	−4.45440	+	0.640446i	−0.308117	+	0.0443006i
$210$	1.29781	+	2.79555i	0.0895573	+	0.192911i
$211$	8.36612	−	2.45651i	0.575947	−	0.169113i	0.0192296	−	0.999815i	$-0.493879\pi$
$211$	8.36612	−	2.45651i	0.575947	−	0.169113i	0.556718	+	0.830702i	$0.312060\pi$
$212$	−7.02228	−	6.08484i	−0.482292	−	0.417908i
$213$	2.08442	−	7.09888i	0.142822	−	0.486407i
$214$	5.05100	+	7.85951i	0.345279	+	0.537265i
$215$	−6.54030	+	2.98686i	−0.446045	+	0.203702i
$216$	−0.755750	+	0.654861i	−0.0514222	+	0.0445576i
$217$	1.23853	−	0.372070i	0.0840772	−	0.0252577i
$218$	12.1639	+	1.74891i	0.823846	+	0.118451i
$219$	1.75578	−	12.2117i	0.118645	−	0.825192i
$220$	−0.947078	+	1.47368i	−0.0638520	+	0.0993556i
$221$	0.299204	−	0.259262i	0.0201266	−	0.0174398i
$222$	0.177618	+	0.388930i	0.0119210	+	0.0261033i
$223$	−12.2847	−	19.1153i	−0.822644	−	1.28006i	−0.957280	−	0.289163i	$-0.906623\pi$
$223$	−12.2847	−	19.1153i	−0.822644	−	1.28006i	0.134636	−	0.990895i	$-0.457013\pi$
$224$	1.44425	+	2.21679i	0.0964980	+	0.148115i
$225$	−2.38562	+	2.75315i	−0.159041	+	0.183543i
$226$	0.367859	+	1.25281i	0.0244696	+	0.0833360i
$227$	−10.7615	+	23.5644i	−0.714265	+	1.56402i	0.107506	+	0.994204i	$0.465713\pi$
$227$	−10.7615	+	23.5644i	−0.714265	+	1.56402i	−0.821771	+	0.569818i	$0.807014\pi$
$228$	2.96218	−	0.425897i	0.196175	−	0.0282057i
$229$	−13.2052			−0.872624			−0.436312	−	0.899796i	$-0.643716\pi$
$229$	−13.2052			−0.872624			−0.436312	+	0.899796i	$0.643716\pi$
$230$	−0.0985807	−	5.58593i	−0.00650022	−	0.368325i
$231$	3.02299	+	2.58661i	0.198898	+	0.170187i
$232$	0.0561155	+	0.390292i	0.00368416	+	0.0256239i
$233$	−8.59361	+	18.8174i	−0.562986	+	1.23277i	0.387463	+	0.921885i	$0.373352\pi$
$233$	−8.59361	+	18.8174i	−0.562986	+	1.23277i	−0.950449	+	0.310882i	$0.899376\pi$
$234$	1.30587	+	4.44738i	0.0853673	+	0.290734i
$235$	0.742914	+	0.643739i	0.0484624	+	0.0419929i
$236$	−0.961287	+	3.27384i	−0.0625744	+	0.213109i
$237$	−1.09575	+	0.704194i	−0.0711764	+	0.0457423i
$238$	−0.0623137	+	0.217222i	−0.00403920	+	0.0140804i
$239$	6.73827	+	7.77637i	0.435862	+	0.503012i	0.930604	−	0.366028i	$-0.119283\pi$
$239$	6.73827	+	7.77637i	0.435862	+	0.503012i	−0.494741	+	0.869040i	$0.664737\pi$
$240$	0.629808	−	0.980000i	0.0406539	−	0.0632587i
$241$	−1.66383	+	11.5722i	−0.107176	+	0.745429i	0.863380	+	0.504554i	$0.168343\pi$
$241$	−1.66383	+	11.5722i	−0.107176	+	0.745429i	−0.970556	+	0.240874i	$0.922566\pi$
$242$	1.24365	−	8.64977i	0.0799448	−	0.556028i
$243$	0.540641	−	0.841254i	0.0346821	−	0.0539664i
$244$	−4.86751	−	5.61740i	−0.311610	−	0.359617i
$245$	−6.80449	+	4.49385i	−0.434723	+	0.287101i
$246$	0.725556	−	0.466286i	0.0462597	−	0.0297293i
$247$	3.90800	−	13.3094i	0.248660	−	0.846858i
$248$	−0.369402	−	0.320089i	−0.0234571	−	0.0203257i
$249$	0.854619	+	2.91057i	0.0541593	+	0.184450i
$250$	4.18257	−	9.15855i	0.264529	−	0.579237i
$251$	−2.14451	−	14.9154i	−0.135360	−	0.941451i	−0.938406	−	0.345534i	$-0.887698\pi$
$251$	−2.14451	−	14.9154i	−0.135360	−	0.941451i	0.803046	−	0.595917i	$-0.203211\pi$
$252$	−2.01029	−	1.72010i	−0.126636	−	0.108356i
$253$	−3.11116	−	6.50617i	−0.195597	−	0.409039i
$254$	8.80769			0.552644
$255$	0.0984879	−	0.0141604i	0.00616755	−	0.000886760i
$256$	0.415415	−	0.909632i	0.0259634	−	0.0568520i
$257$	−1.27815	−	4.35297i	−0.0797286	−	0.271531i	0.909975	−	0.414663i	$-0.136101\pi$
$257$	−1.27815	−	4.35297i	−0.0797286	−	0.271531i	−0.989704	+	0.143133i	$0.954282\pi$
$258$	4.04187	−	4.66456i	0.251636	−	0.290403i
$259$	−0.947828	+	0.617516i	−0.0588952	+	0.0383706i
$260$	−2.91924	−	4.54243i	−0.181044	−	0.281710i
$261$	−0.163800	−	0.358673i	−0.0101390	−	0.0222013i
$262$	7.56672	−	6.55660i	0.467473	−	0.405068i
$263$	7.77753	−	12.1021i	0.479583	−	0.746246i	−0.514189	−	0.857677i	$-0.671907\pi$
$263$	7.77753	−	12.1021i	0.479583	−	0.746246i	0.993772	+	0.111431i	$0.0355434\pi$
$264$	0.214007	−	1.48845i	0.0131712	−	0.0916079i
$265$	−10.7141	−	1.54046i	−0.658162	−	0.0946295i
$266$	2.27802	+	7.58300i	0.139674	+	0.464944i
$267$	6.37639	−	5.52517i	0.390228	−	0.338135i
$268$	−1.77662	+	0.811354i	−0.108524	+	0.0495613i
$269$	2.97439	+	4.62825i	0.181352	+	0.282189i	0.920013	−	0.391888i	$-0.128178\pi$
$269$	2.97439	+	4.62825i	0.181352	+	0.282189i	−0.738661	+	0.674077i	$0.764542\pi$
$270$	−0.328198	+	1.11774i	−0.0199735	+	0.0680235i
$271$	5.07364	+	4.39633i	0.308201	+	0.267058i	0.795203	−	0.606343i	$-0.207364\pi$
$271$	5.07364	+	4.39633i	0.308201	+	0.267058i	−0.487002	+	0.873401i	$0.661910\pi$
$272$	0.0819537	−	0.0240638i	0.00496917	−	0.00145908i
$273$	−11.1232	+	5.16386i	−0.673208	+	0.312531i
$274$	15.5652	−	2.23794i	0.940331	−	0.135199i
$275$		−	5.47810i		−	0.330342i
$276$	2.06893	+	4.32661i	0.124535	+	0.260431i
$277$	4.08760			0.245600			0.122800	−	0.992431i	$-0.460813\pi$
$277$	4.08760			0.245600			0.122800	+	0.992431i	$0.460813\pi$
$278$	18.9807	−	2.72902i	1.13839	−	0.163675i
$279$	0.444618	+	0.203050i	0.0266186	+	0.0121563i
$280$	2.81151	+	1.26285i	0.168020	+	0.0754698i
$281$	−13.3743	−	11.5889i	−0.797843	−	0.691335i	0.157277	−	0.987555i	$-0.449729\pi$
$281$	−13.3743	−	11.5889i	−0.797843	−	0.691335i	−0.955120	+	0.296219i	$0.904274\pi$
$282$	−0.809661	−	0.237738i	−0.0482146	−	0.0141571i
$283$	7.80199	−	5.01404i	0.463780	−	0.298054i	−0.287805	−	0.957689i	$-0.592926\pi$
$283$	7.80199	−	5.01404i	0.463780	−	0.298054i	0.751586	+	0.659635i	$0.229289\pi$
$284$	−3.07348	−	6.72998i	−0.182377	−	0.399351i
$285$	2.63470	−	2.28298i	0.156066	−	0.135232i
$286$	−5.86364	−	3.76833i	−0.346724	−	0.222826i
$287$	1.50504	+	1.71518i	0.0888395	+	0.101244i
$288$	−0.142315	+	0.989821i	−0.00838598	+	0.0583258i
$289$	−14.2952	−	9.18695i	−0.840893	−	0.540409i
$290$	0.300802	+	0.347144i	0.0176637	+	0.0203850i
$291$	−3.63297	+	1.65912i	−0.212969	+	0.0972595i
$292$	−6.67005	−	10.3788i	−0.390335	−	0.607374i
$293$	−0.643951	−	0.189081i	−0.0376200	−	0.0110462i	0.262868	−	0.964832i	$-0.415331\pi$
$293$	−0.643951	−	0.189081i	−0.0376200	−	0.0110462i	−0.300488	+	0.953785i	$0.597150\pi$
$294$	3.71076	−	5.93551i	0.216416	−	0.346166i
$295$	1.11983	+	3.81379i	0.0651990	+	0.222047i
$296$	0.388930	+	0.177618i	0.0226061	+	0.0103239i
$297$	0.214007	+	1.48845i	0.0124179	+	0.0863687i
$298$			2.83122i			0.164008i
$299$	22.2259	−	0.392243i	1.28536	−	0.0226840i
$300$			3.64294i			0.210325i
$301$	13.7923	+	8.74276i	0.794976	+	0.503924i
$302$	3.40157	−	7.44841i	0.195739	−	0.428608i
$303$	8.71574	−	2.55917i	0.500706	−	0.147021i
$304$	1.95976	−	2.26169i	0.112400	−	0.129717i
$305$	−8.30804	−	2.43946i	−0.475717	−	0.139683i
$306$	−0.0718545	+	0.0461781i	−0.00410765	+	0.00263982i
$307$	16.4760	−	7.52435i	0.940337	−	0.429438i	0.114549	−	0.993418i	$-0.463458\pi$
$307$	16.4760	−	7.52435i	0.940337	−	0.429438i	0.825788	+	0.563980i	$0.190731\pi$
$308$	3.97849	−	0.0248048i	0.226696	−	0.00141338i
$309$	−2.17673	+	3.38706i	−0.123830	+	0.192683i
$310$	−0.563609	−	0.0810347i	−0.0320108	−	0.00460246i
$311$	2.11260	+	0.303746i	0.119794	+	0.0172238i	0.201951	−	0.979396i	$-0.435272\pi$
$311$	2.11260	+	0.303746i	0.119794	+	0.0172238i	−0.0821568	+	0.996619i	$0.526181\pi$
$312$	3.89933	+	2.50594i	0.220756	+	0.141871i
$313$	−9.90532	−	11.4313i	−0.559882	−	0.646138i	0.403275	−	0.915079i	$-0.367872\pi$
$313$	−9.90532	−	11.4313i	−0.559882	−	0.646138i	−0.963157	+	0.268941i	$0.913326\pi$
$314$	−3.18527	−	6.97476i	−0.179755	−	0.393608i
$315$	−3.05341	−	0.419601i	−0.172040	−	0.0236419i
$316$	−0.366961	+	1.24976i	−0.0206432	+	0.0703042i
$317$	−9.01550	+	10.4044i	−0.506361	+	0.584372i	−0.950163	−	0.311753i	$-0.899084\pi$
$317$	−9.01550	+	10.4044i	−0.506361	+	0.584372i	0.443802	+	0.896125i	$0.353629\pi$
$318$	8.91542	−	2.61780i	0.499952	−	0.146799i
$319$	0.539357	+	0.246316i	0.0301982	+	0.0137911i
$320$	−0.165787	−	1.15307i	−0.00926775	−	0.0644586i
$321$	−9.34262			−0.521454
$322$	−10.5075	+	7.11289i	−0.585558	+	0.396386i
$323$	0.255612			0.0142226
$324$	−0.142315	−	0.989821i	−0.00790638	−	0.0549901i
$325$	15.3596	+	7.01451i	0.851999	+	0.389095i
$326$	2.36562	−	0.694608i	0.131019	−	0.0384708i
$327$	−8.04760	+	9.28743i	−0.445033	+	0.513596i
$328$	0.242986	−	0.827534i	0.0134166	−	0.0456929i
$329$	0.303948	−	2.21181i	0.0167572	−	0.121941i
$330$	−0.727711	−	1.59347i	−0.0400592	−	0.0877174i
$331$	3.29201	+	3.79919i	0.180946	+	0.208822i	0.838975	−	0.544170i	$-0.183155\pi$
$331$	3.29201	+	3.79919i	0.180946	+	0.208822i	−0.658030	+	0.752992i	$0.728610\pi$
$332$	2.55189	+	1.64000i	0.140053	+	0.0900068i
$333$	−0.423217	−	0.0608493i	−0.0231921	−	0.00333452i
$334$	4.46242	+	0.641600i	0.244173	+	0.0351068i
$335$	−1.23009	+	1.91405i	−0.0672069	+	0.104576i
$336$	−2.64570	+	0.0164952i	−0.144335	+	0.000899886i
$337$	−8.49757	+	3.88071i	−0.462892	+	0.211396i	−0.633189	−	0.773997i	$-0.718254\pi$
$337$	−8.49757	+	3.88071i	−0.462892	+	0.211396i	0.170297	+	0.985393i	$0.445527\pi$
$338$	7.13761	−	4.58706i	0.388235	−	0.249503i
$339$	−1.25281	−	0.367859i	−0.0680435	−	0.0199794i
$340$	0.0651591	−	0.0751976i	0.00353375	−	0.00407816i
$341$	−0.705247	+	0.207079i	−0.0381913	+	0.0112140i
$342$	−1.24319	+	2.72220i	−0.0672239	+	0.147200i
$343$	16.9876	+	7.37717i	0.917242	+	0.398330i
$344$		−	6.17210i		−	0.332777i
$345$	4.75248	+	2.93705i	0.255865	+	0.158125i
$346$		−	7.89475i		−	0.424424i
$347$	−3.52023	−	24.4837i	−0.188976	−	1.31436i	−0.834666	−	0.550756i	$-0.814339\pi$
$347$	−3.52023	−	24.4837i	−0.188976	−	1.31436i	0.645690	−	0.763600i	$-0.276570\pi$
$348$	−0.358673	−	0.163800i	−0.0192269	−	0.00878062i
$349$	5.36641	+	18.2763i	0.287258	+	0.978310i	0.969071	+	0.246783i	$0.0793735\pi$
$349$	5.36641	+	18.2763i	0.287258	+	0.978310i	−0.681813	+	0.731526i	$0.738808\pi$
$350$	−9.53148	+	1.43113i	−0.509479	+	0.0764970i
$351$	−4.44738	−	1.30587i	−0.237384	−	0.0697021i
$352$	−0.812993	−	1.26504i	−0.0433327	−	0.0674269i
$353$	−28.3044	+	12.9262i	−1.50649	+	0.687992i	−0.986133	−	0.165956i	$-0.946929\pi$
$353$	−28.3044	+	12.9262i	−1.50649	+	0.687992i	−0.520359	+	0.853948i	$0.674202\pi$
$354$	−2.23442	−	2.57866i	−0.118758	−	0.137054i
$355$	−7.25060	−	4.65968i	−0.384822	−	0.247310i
$356$	1.20073	−	8.35129i	0.0636388	−	0.442617i
$357$	−0.149049	−	0.169861i	−0.00788853	−	0.00898998i
$358$	16.5906	+	10.6621i	0.876839	+	0.563510i
$359$	16.1252	−	13.9726i	0.851057	−	0.737445i	−0.115661	−	0.993289i	$-0.536899\pi$
$359$	16.1252	−	13.9726i	0.851057	−	0.737445i	0.966718	+	0.255844i	$0.0823533\pi$
$360$	0.483929	+	1.05966i	0.0255053	+	0.0558488i
$361$	−8.44964	+	5.43025i	−0.444718	+	0.285803i
$362$	6.79675	+	1.99571i	0.357229	+	0.104892i
$363$	6.60428	+	5.72264i	0.346635	+	0.300361i
$364$	−5.02476	+	11.1867i	−0.263369	+	0.586345i
$365$	−13.0733	−	5.97038i	−0.684288	−	0.312504i
$366$	7.35723	−	1.05781i	0.384569	−	0.0552926i
$367$	−35.5129			−1.85376			−0.926879	−	0.375360i	$-0.877519\pi$
$367$	−35.5129			−1.85376			−0.926879	+	0.375360i	$0.877519\pi$
$368$	4.39692	+	1.91497i	0.229205	+	0.0998249i
$369$			0.862470i			0.0448984i
$370$	0.493017	−	0.0708851i	0.0256307	−	0.00368514i
$371$	10.3517	+	22.2981i	0.537434	+	1.15766i
$372$	0.468990	−	0.137708i	0.0243160	−	0.00713982i
$373$	−6.97743	−	6.04598i	−0.361278	−	0.313049i	0.455241	−	0.890368i	$-0.349553\pi$
$373$	−6.97743	−	6.04598i	−0.361278	−	0.313049i	−0.816518	+	0.577320i	$0.804099\pi$
$374$	0.0361861	−	0.123239i	0.00187114	−	0.00637251i
$375$	5.44339	+	8.47008i	0.281096	+	0.437393i
$376$	−0.767586	+	0.350545i	−0.0395852	+	0.0180780i
$377$	−1.38125	+	1.19686i	−0.0711382	+	0.0616416i
$378$	2.53388	−	0.761207i	0.130329	−	0.0391523i
$379$	21.0983	+	3.03348i	1.08375	+	0.155820i	0.660969	−	0.750413i	$-0.270145\pi$
$379$	21.0983	+	3.03348i	1.08375	+	0.155820i	0.422780	+	0.906233i	$0.361054\pi$
$380$	0.496140	−	3.45073i	0.0254514	−	0.177019i
$381$	−4.76180	+	7.40950i	−0.243954	+	0.379600i
$382$	−20.1802	+	17.4862i	−1.03251	+	0.894673i
$383$	−9.78217	−	21.4200i	−0.499845	−	1.09451i	−0.976520	−	0.215429i	$-0.930885\pi$
$383$	−9.78217	−	21.4200i	−0.499845	−	1.09451i	0.476674	−	0.879080i	$-0.341842\pi$
$384$	0.540641	+	0.841254i	0.0275895	+	0.0429300i
$385$	3.88330	−	2.52999i	0.197911	−	0.128940i
$386$	−10.9756	+	12.6666i	−0.558646	+	0.644711i
$387$	1.73888	+	5.92209i	0.0883923	+	0.301037i
$388$	−1.65912	+	3.63297i	−0.0842292	+	0.184436i
$389$	20.3113	−	2.92032i	1.02982	−	0.148066i	0.393369	−	0.919381i	$-0.371309\pi$
$389$	20.3113	−	2.92032i	1.02982	−	0.148066i	0.636455	+	0.771314i	$0.280400\pi$
$390$	5.39960			0.273419
$391$	0.122323	+	0.390939i	0.00618615	+	0.0197706i
$392$	−1.08252	−	6.91579i	−0.0546755	−	0.349300i
$393$	1.42489	+	9.91029i	0.0718760	+	0.499908i
$394$	−1.25035	+	2.73788i	−0.0629917	+	0.137933i
$395$	0.427484	+	1.45588i	0.0215090	+	0.0732530i
$396$	1.13646	+	0.984752i	0.0571095	+	0.0494856i
$397$	−4.99331	+	17.0057i	−0.250607	+	0.853490i	0.734066	+	0.679078i	$0.237620\pi$
$397$	−4.99331	+	17.0057i	−0.250607	+	0.853490i	−0.984673	+	0.174411i	$0.944198\pi$
$398$	−2.22696	+	1.43118i	−0.111628	+	0.0717387i
$399$	−7.61082	−	2.18329i	−0.381017	−	0.109301i
$400$	2.38562	+	2.75315i	0.119281	+	0.137658i
$401$	−21.3325	+	33.1941i	−1.06530	+	1.65763i	−0.388525	+	0.921438i	$0.627015\pi$
$401$	−21.3325	+	33.1941i	−1.06530	+	1.65763i	−0.676771	+	0.736194i	$0.736621\pi$
$402$	0.277957	−	1.93324i	0.0138633	−	0.0964211i
$403$	0.322429	−	2.24254i	0.0160613	−	0.111709i
$404$	4.91102	−	7.64169i	0.244332	−	0.380188i
$405$	−0.762866	−	0.880394i	−0.0379071	−	0.0437471i
$406$	0.287667	−	1.00279i	0.0142767	−	0.0497676i
$407$	0.540892	−	0.347610i	0.0268110	−	0.0172304i
$408$	−0.0240638	+	0.0819537i	−0.00119133	+	0.00405731i
$409$	22.2691	+	19.2963i	1.10114	+	0.954140i	0.999174	−	0.0406477i	$-0.0129421\pi$
$409$	22.2691	+	19.2963i	1.10114	+	0.954140i	0.101963	+	0.994788i	$0.467488\pi$
$410$	−0.283061	−	0.964017i	−0.0139794	−	0.0476094i
$411$	−6.53253	+	14.3042i	−0.322226	+	0.705576i
$412$	0.572989	+	3.98523i	0.0282292	+	0.196338i
$413$	5.86907	−	6.85921i	0.288798	−	0.337520i
$414$	−4.75832	−	0.598649i	−0.233859	−	0.0294220i
$415$	3.53374			0.173465
$416$	4.58796	−	0.659649i	0.224943	−	0.0323419i
$417$	−7.96596	+	17.4430i	−0.390095	+	0.854188i
$418$	−1.26785	−	4.31792i	−0.0620128	−	0.211196i
$419$	14.6070	−	16.8574i	0.713599	−	0.823537i	−0.276923	−	0.960892i	$-0.589315\pi$
$419$	14.6070	−	16.8574i	0.713599	−	0.823537i	0.990522	+	0.137355i	$0.0438602\pi$
$420$	−2.58240	+	1.68245i	−0.126008	+	0.0820950i
$421$	−3.80003	−	5.91296i	−0.185202	−	0.288180i	0.736221	−	0.676741i	$-0.236608\pi$
$421$	−3.80003	−	5.91296i	−0.185202	−	0.288180i	−0.921423	+	0.388561i	$0.872972\pi$
$422$	3.62213	+	7.93137i	0.176323	+	0.386093i
$423$	0.637734	−	0.552600i	0.0310077	−	0.0268683i
$424$	5.02353	−	7.81676i	0.243964	−	0.379616i
$425$	−0.0442822	+	0.307990i	−0.00214800	+	0.0149397i
$426$	7.32327	+	1.05293i	0.354814	+	0.0510145i
$427$	5.65796	+	18.8341i	0.273808	+	0.911444i
$428$	−7.06068	+	6.11812i	−0.341291	+	0.295730i
$429$	6.34025	−	2.89549i	0.306110	−	0.139796i
$430$	−3.88724	−	6.04866i	−0.187459	−	0.291692i
$431$	1.75934	−	5.99176i	0.0847443	−	0.288613i	−0.906207	−	0.422834i	$-0.861035\pi$
$431$	1.75934	−	5.99176i	0.0847443	−	0.288613i	0.990951	+	0.134222i	$0.0428534\pi$
$432$	−0.755750	−	0.654861i	−0.0363610	−	0.0315070i
$433$	13.0882	−	3.84305i	0.628980	−	0.184685i	0.0483206	−	0.998832i	$-0.484613\pi$
$433$	13.0882	−	3.84305i	0.628980	−	0.184685i	0.580659	+	0.814147i	$0.302795\pi$
$434$	0.544544	+	1.17298i	0.0261390	+	0.0563047i
$435$	−0.454662	+	0.0653706i	−0.0217994	+	0.00313428i
$436$			12.2890i			0.588538i
$437$	11.0108	+	9.20584i	0.526719	+	0.440375i
$438$	12.3373			0.589499
$439$	−9.03181	+	1.29858i	−0.431065	+	0.0619778i	−0.354432	−	0.935082i	$-0.615326\pi$
$439$	−9.03181	+	1.29858i	−0.431065	+	0.0619778i	−0.0766324	+	0.997059i	$0.524417\pi$
$440$	−1.59347	−	0.727711i	−0.0759655	−	0.0346923i
$441$	2.98707	+	6.33067i	0.142242	+	0.301460i
$442$	0.299204	+	0.259262i	0.0142317	+	0.0123318i
$443$	−34.7078	−	10.1911i	−1.64902	−	0.484195i	−0.680418	−	0.732824i	$-0.738202\pi$
$443$	−34.7078	−	10.1911i	−1.64902	−	0.484195i	−0.968599	+	0.248630i	$0.920020\pi$
$444$	−0.359694	+	0.231161i	−0.0170703	+	0.0109704i
$445$	−4.08299	−	8.94050i	−0.193552	−	0.423820i
$446$	17.1725	−	14.8800i	0.813141	−	0.704591i
$447$	−2.38178	−	1.53067i	−0.112654	−	0.0723984i
$448$	−1.98868	+	1.74503i	−0.0939565	+	0.0824450i
$449$	−0.822601	+	5.72131i	−0.0388209	+	0.270005i	−0.999982	−	0.00598221i	$-0.998096\pi$
$449$	−0.822601	+	5.72131i	−0.0388209	+	0.270005i	0.961161	+	0.275988i	$0.0890049\pi$
$450$	−3.06464	−	1.96952i	−0.144468	−	0.0928442i
$451$	−0.849319	−	0.980166i	−0.0399929	−	0.0461542i
$452$	−1.18771	+	0.542409i	−0.0558652	+	0.0255128i
$453$	4.42697	+	6.88850i	0.207997	+	0.323650i
$454$	−24.8560	−	7.29839i	−1.16655	−	0.342530i
$455$	2.12123	+	14.1276i	0.0994449	+	0.662314i
$456$	0.843124	+	2.87142i	0.0394829	+	0.134466i
$457$	−36.7037	−	16.7620i	−1.71693	−	0.784095i	−0.995827	−	0.0912659i	$-0.970909\pi$
$457$	−36.7037	−	16.7620i	−1.71693	−	0.784095i	−0.721102	−	0.692829i	$-0.756364\pi$
$458$	−1.87929	−	13.0708i	−0.0878137	−	0.610758i
$459$		−	0.0854136i		−	0.00398676i
$460$	5.51504	−	0.892538i	0.257140	−	0.0416148i
$461$		−	18.8852i		−	0.879571i	−0.898103	−	0.439785i	$-0.855055\pi$
$461$		−	18.8852i		−	0.879571i	0.898103	−	0.439785i	$-0.144945\pi$
$462$	−2.13007	+	3.36033i	−0.0990997	+	0.156337i
$463$	−16.6803	+	36.5248i	−0.775200	+	1.69745i	−0.0603467	+	0.998177i	$0.519221\pi$
$463$	−16.6803	+	36.5248i	−0.775200	+	1.69745i	−0.714854	+	0.699274i	$0.753507\pi$
$464$	−0.378333	+	0.111089i	−0.0175637	+	0.00515716i
$465$	0.372881	−	0.430327i	0.0172919	−	0.0199559i
$466$	−19.8488	−	5.82814i	−0.919480	−	0.269984i
$467$	−17.6101	+	11.3173i	−0.814897	+	0.523703i	−0.880446	−	0.474147i	$-0.842757\pi$
$467$	−17.6101	+	11.3173i	−0.814897	+	0.523703i	0.0655486	+	0.997849i	$0.479120\pi$
$468$	−4.21627	+	1.92551i	−0.194897	+	0.0890065i
$469$	5.16736	−	0.0322170i	0.238606	−	0.00148764i
$470$	−0.531459	+	0.826966i	−0.0245144	+	0.0381451i
$471$	7.58963	+	1.09122i	0.349711	+	0.0502809i
$472$	−3.37732	−	0.485586i	−0.155454	−	0.0223509i
$473$	−7.80796	−	5.01787i	−0.359011	−	0.230722i
$474$	−0.852967	−	0.984376i	−0.0391781	−	0.0452139i
$475$	4.52886	+	9.91682i	0.207798	+	0.455015i
$476$	−0.223879	−	0.0307655i	−0.0102615	−	0.00141014i
$477$	−2.61780	+	8.91542i	−0.119861	+	0.408209i
$478$	−6.73827	+	7.77637i	−0.308201	+	0.355683i
$479$	23.5916	−	6.92713i	1.07793	−	0.316509i	0.305880	−	0.952070i	$-0.401050\pi$
$479$	23.5916	−	6.92713i	1.07793	−	0.316509i	0.772050	+	0.635561i	$0.219231\pi$
$480$	1.05966	+	0.483929i	0.0483665	+	0.0220882i
$481$	0.282045	+	1.96167i	0.0128601	+	0.0894443i
$482$	−11.6912			−0.532518
$483$	−0.302985	−	12.6850i	−0.0137863	−	0.577186i
$484$	8.73871			0.397214
$485$	0.662134	+	4.60524i	0.0300659	+	0.209113i
$486$	0.909632	+	0.415415i	0.0412617	+	0.0188436i
$487$	−17.5382	+	5.14969i	−0.794733	+	0.233355i	−0.653803	−	0.756665i	$-0.726827\pi$
$487$	−17.5382	+	5.14969i	−0.794733	+	0.233355i	−0.140930	+	0.990020i	$0.545009\pi$
$488$	4.86751	−	5.61740i	0.220342	−	0.254288i
$489$	−0.694608	+	2.36562i	−0.0314113	+	0.106977i
$490$	−5.41649	−	6.09569i	−0.244692	−	0.275375i
$491$	−7.11132	−	15.5716i	−0.320929	−	0.702737i	0.678565	−	0.734540i	$-0.262602\pi$
$491$	−7.11132	−	15.5716i	−0.320929	−	0.702737i	−0.999494	+	0.0318035i	$0.989875\pi$
$492$	0.564798	+	0.651811i	0.0254630	+	0.0293859i
$493$	−0.0283326	−	0.0182083i	−0.00127604	−	0.000820059i
$494$	13.7301	+	1.97409i	0.617747	+	0.0888186i
$495$	1.73394	+	0.249303i	0.0779348	+	0.0112053i
$496$	0.264259	−	0.411196i	0.0118656	−	0.0184632i
$497$	0.122041	+	19.5744i	0.00547428	+	0.878032i
$498$	−2.75932	+	1.26014i	−0.123648	+	0.0564681i
$499$	−25.8203	+	16.5937i	−1.15587	+	0.742835i	−0.970800	−	0.239889i	$-0.922889\pi$
$499$	−25.8203	+	16.5937i	−1.15587	+	0.742835i	−0.185074	+	0.982725i	$0.559253\pi$
$500$	9.66057	+	2.83660i	0.432034	+	0.126857i
$501$	−2.95232	+	3.40716i	−0.131900	+	0.152220i
$502$	14.4584	−	4.24536i	0.645309	−	0.189480i
$503$	8.92631	−	19.5459i	0.398004	−	0.871508i	−0.599464	−	0.800401i	$-0.704620\pi$
$503$	8.92631	−	19.5459i	0.398004	−	0.871508i	0.997469	−	0.0711065i	$-0.0226530\pi$
$504$	1.41650	−	2.23462i	0.0630958	−	0.0995380i
$505$		−	10.5819i		−	0.470886i
$506$	5.99718	−	4.00542i	0.266607	−	0.178063i
$507$			8.48449i			0.376810i
$508$	1.25347	+	8.71805i	0.0556135	+	0.386801i
$509$	13.1411	+	6.00132i	0.582467	+	0.266004i	0.684782	−	0.728748i	$-0.259897\pi$
$509$	13.1411	+	6.00132i	0.582467	+	0.266004i	−0.102314	+	0.994752i	$0.532625\pi$
$510$	0.0280326	+	0.0954702i	0.00124130	+	0.00422749i
$511$	4.84671	+	32.2796i	0.214406	+	1.42797i
$512$	0.959493	+	0.281733i	0.0424040	+	0.0124509i
$513$	−1.61794	−	2.51757i	−0.0714340	−	0.111153i
$514$	4.12676	−	1.88463i	0.182024	−	0.0831274i
$515$	3.07146	+	3.54465i	0.135345	+	0.156196i
$516$	5.19230	+	3.33689i	0.228578	+	0.146898i
$517$	−0.180588	+	1.25602i	−0.00794226	+	0.0552397i
$518$	−0.746120	−	0.850299i	−0.0327827	−	0.0373600i
$519$	6.64149	+	4.26822i	0.291529	+	0.187354i
$520$	4.08075	−	3.53599i	0.178953	−	0.155063i
$521$	2.81547	+	6.16501i	0.123348	+	0.270094i	0.961225	−	0.275764i	$-0.0889309\pi$
$521$	2.81547	+	6.16501i	0.123348	+	0.270094i	−0.837877	+	0.545858i	$0.816204\pi$
$522$	0.331711	−	0.213178i	0.0145186	−	0.00933053i
$523$	5.32679	+	1.56409i	0.232924	+	0.0683927i	0.396112	−	0.918202i	$-0.370359\pi$
$523$	5.32679	+	1.56409i	0.232924	+	0.0683927i	−0.163187	+	0.986595i	$0.552178\pi$
$524$	7.56672	+	6.55660i	0.330554	+	0.286426i
$525$	3.94916	−	8.79212i	0.172356	−	0.383719i
$526$	13.0858	+	5.97606i	0.570566	+	0.260569i
$527$	0.0413243	−	0.00594154i	0.00180011	−	0.000258817i
$528$	1.50376			0.0654426
$529$	−8.81038	+	21.2456i	−0.383060	+	0.923724i
$530$		−	10.8243i		−	0.470177i
$531$	3.37732	−	0.485586i	0.146563	−	0.0210726i
$532$	−7.18162	+	3.33400i	−0.311363	+	0.144547i
$533$	3.83573	−	1.12627i	0.166144	−	0.0487843i
$534$	6.37639	+	5.52517i	0.275933	+	0.239097i
$535$	−3.06623	+	10.4426i	−0.132565	+	0.451474i
$536$	−1.05593	−	1.64307i	−0.0456094	−	0.0709696i
$537$	−17.9391	+	8.19250i	−0.774128	+	0.353533i
$538$	−4.15784	+	3.60279i	−0.179257	+	0.155327i
$539$	−9.62884	−	4.25305i	−0.414744	−	0.183192i
$540$	−1.15307	−	0.165787i	−0.0496203	−	0.00713432i
$541$	5.37664	−	37.3954i	0.231160	−	1.60775i	−0.461941	−	0.886911i	$-0.652847\pi$
$541$	5.37664	−	37.3954i	0.231160	−	1.60775i	0.693100	−	0.720841i	$-0.256244\pi$
$542$	−3.62953	+	5.64766i	−0.155902	+	0.242588i
$543$	−5.35350	+	4.63883i	−0.229740	+	0.199071i
$544$	0.0354821	+	0.0776949i	0.00152128	+	0.00333114i
$545$	7.73972	+	12.0432i	0.331533	+	0.515876i
$546$	−6.69430	−	10.2751i	−0.286489	−	0.439734i
$547$	−26.6870	+	30.7985i	−1.14106	+	1.31685i	−0.199535	+	0.979891i	$0.563943\pi$
$547$	−26.6870	+	30.7985i	−1.14106	+	1.31685i	−0.941520	+	0.336957i	$0.890602\pi$
$548$	4.43033	+	15.0883i	0.189254	+	0.644541i
$549$	−3.08773	+	6.76119i	−0.131781	+	0.288561i
$550$	5.42234	−	0.779615i	0.231209	−	0.0332429i
$551$	−1.18001			−0.0502703
$552$	−3.98813	+	2.66361i	−0.169746	+	0.113371i
$553$	2.24046	−	2.61843i	0.0952739	−	0.111347i
$554$	0.581726	+	4.04599i	0.0247152	+	0.171898i
$555$	−0.206913	+	0.453076i	−0.00878295	+	0.0192320i
$556$	5.40248	+	18.3991i	0.229116	+	0.780297i
$557$	−22.7209	−	19.6878i	−0.962716	−	0.834198i	0.0234894	−	0.999724i	$-0.492522\pi$
$557$	−22.7209	−	19.6878i	−0.962716	−	0.834198i	−0.986205	+	0.165526i	$0.947068\pi$
$558$	−0.137708	+	0.468990i	−0.00582964	+	0.0198539i
$559$	24.0670	−	15.4669i	1.01793	−	0.654182i
$560$	−0.849877	+	2.96262i	−0.0359138	+	0.125194i
$561$	0.0841112	+	0.0970695i	0.00355118	+	0.00409828i
$562$	9.56757	−	14.8874i	0.403584	−	0.627988i
$563$	1.34247	−	9.33711i	0.0565785	−	0.393512i	−0.941780	−	0.336231i	$-0.890848\pi$
$563$	1.34247	−	9.33711i	0.0565785	−	0.393512i	0.998358	−	0.0572813i	$-0.0182432\pi$
$564$	0.120091	−	0.835254i	0.00505676	−	0.0351705i
$565$	−0.822343	+	1.27959i	−0.0345962	+	0.0538328i
$566$	6.07334	+	7.00901i	0.255282	+	0.294611i
$567$	−0.729553	+	2.54318i	−0.0306383	+	0.106803i
$568$	6.22408	−	3.99997i	0.261157	−	0.167835i
$569$	0.386505	−	1.31632i	0.0162031	−	0.0551828i	−0.950995	−	0.309207i	$-0.899936\pi$
$569$	0.386505	−	1.31632i	0.0162031	−	0.0551828i	0.967198	+	0.254025i	$0.0817544\pi$
$570$	2.63470	+	2.28298i	0.110356	+	0.0956236i
$571$	10.3422	+	35.2222i	0.432807	+	1.47400i	0.830777	+	0.556606i	$0.187897\pi$
$571$	10.3422	+	35.2222i	0.432807	+	1.47400i	−0.397970	+	0.917398i	$0.630285\pi$
$572$	2.89549	−	6.34025i	0.121067	−	0.265099i
$573$	−3.80012	−	26.4304i	−0.158752	−	1.10415i
$574$	−1.48353	+	1.73381i	−0.0619215	+	0.0723680i
$575$	−12.9997	+	11.6722i	−0.542126	+	0.486766i
$576$	−1.00000			−0.0416667
$577$	35.8579	−	5.15559i	1.49278	−	0.214630i	0.652920	−	0.757427i	$-0.273544\pi$
$577$	35.8579	−	5.15559i	1.49278	−	0.214630i	0.839864	+	0.542797i	$0.182635\pi$
$578$	7.05902	−	15.4571i	0.293617	−	0.642931i
$579$	−4.72191	−	16.0814i	−0.196236	−	0.668319i
$580$	−0.300802	+	0.347144i	−0.0124901	+	0.0144144i
$581$	−4.38105	−	6.72449i	−0.181756	−	0.278979i
$582$	−2.15926	−	3.35988i	−0.0895042	−	0.139271i
$583$	−5.80444	−	12.7099i	−0.240395	−	0.526392i
$584$	9.32392	−	8.07922i	0.385826	−	0.334320i
$585$	−2.91924	+	4.54243i	−0.120696	+	0.187807i
$586$	0.0955127	−	0.664306i	0.00394559	−	0.0274422i
$587$	14.4522	+	2.07792i	0.596507	+	0.0857647i	0.433954	−	0.900935i	$-0.357118\pi$
$587$	14.4522	+	2.07792i	0.596507	+	0.0857647i	0.162553	+	0.986700i	$0.448027\pi$
$588$	6.40319	+	2.82828i	0.264063	+	0.116636i
$589$	1.10549	−	0.957911i	0.0455508	−	0.0394700i
$590$	−3.61560	+	1.65119i	−0.148852	+	0.0679784i
$591$	−1.62726	−	2.53207i	−0.0669367	−	0.104156i
$592$	−0.120460	+	0.410249i	−0.00495087	+	0.0168611i
$593$	−18.0136	−	15.6089i	−0.739730	−	0.640979i	0.201212	−	0.979548i	$-0.435512\pi$
$593$	−18.0136	−	15.6089i	−0.739730	−	0.640979i	−0.940942	+	0.338568i	$0.890057\pi$
$594$	−1.44284	+	0.423657i	−0.0592006	+	0.0173829i
$595$	−0.238778	+	0.110851i	−0.00978894	+	0.00454443i
$596$	−2.80240	+	0.402925i	−0.114791	+	0.0165044i
$597$		−	2.64720i		−	0.108343i
$598$	3.55132	+	21.9438i	0.145224	+	0.897350i
$599$	−12.6825			−0.518193			−0.259097	−	0.965851i	$-0.583425\pi$
$599$	−12.6825			−0.518193			−0.259097	+	0.965851i	$0.583425\pi$
$600$	−3.60586	+	0.518445i	−0.147209	+	0.0211654i
$601$	40.0766	+	18.3024i	1.63476	+	0.746569i	0.999665	−	0.0258673i	$-0.00823473\pi$
$601$	40.0766	+	18.3024i	1.63476	+	0.746569i	0.635092	+	0.772436i	$0.280962\pi$
$602$	−6.69092	+	14.8962i	−0.272702	+	0.607122i
$603$	1.47607	+	1.27902i	0.0601101	+	0.0520857i
$604$	7.85669	+	2.30693i	0.319684	+	0.0938677i
$605$	8.56394	−	5.50371i	0.348174	−	0.223758i
$606$	3.77350	+	8.26282i	0.153288	+	0.335654i
$607$	−20.6439	+	17.8880i	−0.837909	+	0.726053i	−0.963982	−	0.265968i	$-0.914308\pi$
$607$	−20.6439	+	17.8880i	−0.837909	+	0.726053i	0.126072	+	0.992021i	$0.459763\pi$
$608$	2.51757	+	1.61794i	0.102101	+	0.0656163i
$609$	0.688075	+	0.784149i	0.0278822	+	0.0317753i
$610$	1.23227	−	8.57065i	0.0498933	−	0.347015i
$611$	−3.29042	−	2.11462i	−0.133116	−	0.0855485i
$612$	−0.0559340	−	0.0645513i	−0.00226100	−	0.00260933i
$613$	15.6482	−	7.14630i	0.632025	−	0.288636i	−0.0735280	−	0.997293i	$-0.523426\pi$
$613$	15.6482	−	7.14630i	0.632025	−	0.288636i	0.705553	+	0.708657i	$0.250699\pi$
$614$	9.79255	+	15.2375i	0.395195	+	0.614936i
$615$	0.964017	+	0.283061i	0.0388729	+	0.0114141i
$616$	0.590751	+	3.93447i	0.0238020	+	0.158524i
$617$	−0.812920	−	2.76855i	−0.0327269	−	0.111458i	0.941510	−	0.336986i	$-0.109407\pi$
$617$	−0.812920	−	2.76855i	−0.0327269	−	0.111458i	−0.974237	+	0.225528i	$0.927589\pi$
$618$	−3.66237	−	1.67255i	−0.147322	−	0.0672797i
$619$	−3.83415	−	26.6671i	−0.154107	−	1.07184i	−0.909241	−	0.416270i	$-0.863337\pi$
$619$	−3.83415	−	26.6671i	−0.154107	−	1.07184i	0.755134	−	0.655571i	$-0.227572\pi$
$620$		−	0.569404i		−	0.0228678i
$621$	3.07616	−	3.67930i	0.123442	−	0.147645i
$622$			2.13432i			0.0855785i
$623$	−11.9512	+	18.8539i	−0.478816	+	0.755365i
$624$	−1.92551	+	4.21627i	−0.0770819	+	0.168786i
$625$	−6.22302	+	1.82724i	−0.248921	+	0.0730898i
$626$	9.90532	−	11.4313i	0.395896	−	0.456889i
$627$	4.31792	+	1.26785i	0.172441	+	0.0506332i
$628$	6.45046	−	4.14546i	0.257401	−	0.165422i
$629$	−0.0332199	+	0.0151710i	−0.00132456	+	0.000604908i
$630$	−0.0192157	−	3.08205i	−0.000765572	−	0.122792i
$631$	7.70394	−	11.9876i	0.306689	−	0.477217i	−0.653361	−	0.757047i	$-0.726642\pi$
$631$	7.70394	−	11.9876i	0.306689	−	0.477217i	0.960050	+	0.279829i	$0.0902779\pi$
$632$	−1.28926	−	0.185367i	−0.0512840	−	0.00737352i
$633$	−8.63056	−	1.24089i	−0.343034	−	0.0493209i
$634$	−11.5816	−	7.44303i	−0.459963	−	0.295601i
$635$	6.71909	+	7.75424i	0.266639	+	0.307718i
$636$	3.85995	+	8.45212i	0.153057	+	0.335148i
$637$	24.2542	−	21.5517i	0.960985	−	0.853909i
$638$	−0.167050	+	0.568922i	−0.00661359	+	0.0225238i
$639$	−4.84504	+	5.59147i	−0.191667	+	0.221195i
$640$	1.11774	−	0.328198i	0.0441826	−	0.0129732i
$641$	−26.9410	−	12.3035i	−1.06411	−	0.485961i	−0.195111	−	0.980781i	$-0.562507\pi$
$641$	−26.9410	−	12.3035i	−1.06411	−	0.485961i	−0.868995	+	0.494820i	$0.835234\pi$
$642$	−1.32959	−	9.24753i	−0.0524749	−	0.364971i
$643$	−49.9479			−1.96975			−0.984877	−	0.173258i	$-0.944571\pi$
$643$	−49.9479			−1.96975			−0.984877	+	0.173258i	$0.944571\pi$
$644$	−8.53586	−	9.38824i	−0.336360	−	0.369948i
$645$	7.19005			0.283108
$646$	0.0363774	+	0.253010i	0.00143125	+	0.00995456i
$647$	23.4661	+	10.7166i	0.922547	+	0.421313i	0.819315	−	0.573344i	$-0.194354\pi$
$647$	23.4661	+	10.7166i	0.922547	+	0.421313i	0.103233	+	0.994657i	$0.467081\pi$
$648$	0.959493	−	0.281733i	0.0376924	−	0.0110675i
$649$	−3.36003	+	3.87768i	−0.131893	+	0.152212i
$650$	−4.75721	+	16.2016i	−0.186593	+	0.635477i
$651$	−1.28117	−	0.176059i	−0.0502132	−	0.00690031i
$652$	1.02420	+	2.24269i	0.0401108	+	0.0878304i
$653$	−7.74738	−	8.94095i	−0.303178	−	0.349886i	0.583633	−	0.812017i	$-0.301630\pi$
$653$	−7.74738	−	8.94095i	−0.303178	−	0.349886i	−0.886812	+	0.462131i	$0.847085\pi$
$654$	−10.3382	−	6.64395i	−0.404255	−	0.259799i
$655$	11.5448	+	1.65989i	0.451092	+	0.0648572i
$656$	0.853691	+	0.122742i	0.0333310	+	0.00479228i
$657$	−6.67005	+	10.3788i	−0.260224	+	0.404916i
$658$	2.23255	−	0.0139193i	0.0870340	−	0.000542633i
$659$	10.2367	−	4.67496i	0.398766	−	0.182111i	−0.205930	−	0.978567i	$-0.566022\pi$
$659$	10.2367	−	4.67496i	0.398766	−	0.182111i	0.604696	+	0.796456i	$0.293295\pi$
$660$	1.47368	−	0.947078i	0.0573630	−	0.0368650i
$661$	16.8111	+	4.93618i	0.653875	+	0.191995i	0.591811	−	0.806077i	$-0.298413\pi$
$661$	16.8111	+	4.93618i	0.653875	+	0.191995i	0.0620645	+	0.998072i	$0.480232\pi$
$662$	−3.29201	+	3.79919i	−0.127948	+	0.147660i
$663$	−0.379867	+	0.111539i	−0.0147528	+	0.00433181i
$664$	−1.26014	+	2.75932i	−0.0489028	+	0.107082i
$665$	−4.93821	+	7.79037i	−0.191495	+	0.302097i
$666$		−	0.427569i		−	0.0165679i
$667$	−0.564696	−	1.80474i	−0.0218651	−	0.0698798i
$668$			4.50831i			0.174432i
$669$	3.23374	+	22.4912i	0.125024	+	0.869559i
$670$	−2.06963	−	0.945169i	−0.0799568	−	0.0365151i
$671$	−3.14900	−	10.7245i	−0.121566	−	0.414015i
$672$	−0.392850	−	2.61642i	−0.0151545	−	0.100931i
$673$	30.5520	+	8.97088i	1.17769	+	0.345802i	0.811285	−	0.584651i	$-0.198769\pi$
$673$	30.5520	+	8.97088i	1.17769	+	0.345802i	0.366410	+	0.930454i	$0.380587\pi$
$674$	−5.05054	−	7.85879i	−0.194539	−	0.302709i
$675$	3.31374	−	1.51333i	0.127546	−	0.0582482i
$676$	5.55616	+	6.41215i	0.213698	+	0.246621i
$677$	−28.7225	−	18.4589i	−1.10390	−	0.709431i	−0.143942	−	0.989586i	$-0.545978\pi$
$677$	−28.7225	−	18.4589i	−1.10390	−	0.709431i	−0.959955	+	0.280155i	$0.909614\pi$
$678$	0.185821	−	1.29241i	0.00713642	−	0.0496349i
$679$	7.94259	−	6.96947i	0.304809	−	0.267464i
$680$	0.0837053	+	0.0537941i	0.00320995	+	0.00206291i
$681$	19.5780	−	16.9644i	0.750230	−	0.650078i
$682$	−0.305339	−	0.668598i	−0.0116920	−	0.0256019i
$683$	24.4394	−	15.7062i	0.935146	−	0.600982i	0.0181318	−	0.999836i	$-0.494228\pi$
$683$	24.4394	−	15.7062i	0.935146	−	0.600982i	0.917015	+	0.398853i	$0.130592\pi$
$684$	−2.87142	−	0.843124i	−0.109791	−	0.0322377i
$685$	13.8445	+	11.9963i	0.528970	+	0.458355i
$686$	−4.88450	+	17.8645i	−0.186491	+	0.682071i
$687$	12.0119	+	5.48563i	0.458281	+	0.209290i
$688$	6.10928	−	0.878382i	0.232914	−	0.0334880i
$689$	43.0688			1.64079
$690$	−2.23081	+	5.12209i	−0.0849254	+	0.194995i
$691$		−	12.2691i		−	0.466739i	−0.972388	−	0.233369i	$-0.925025\pi$
$691$		−	12.2691i		−	0.466739i	0.972388	−	0.233369i	$-0.0749751\pi$
$692$	7.81439	−	1.12354i	0.297059	−	0.0427106i
$693$	−1.67529	−	3.60866i	−0.0636389	−	0.137082i
$694$	23.7336	−	6.96880i	0.900913	−	0.264532i
$695$	16.8823	+	14.6286i	0.640384	+	0.554896i
$696$	0.111089	−	0.378333i	0.00421081	−	0.0143407i
$697$	0.0398272	+	0.0619723i	0.00150856	+	0.00234737i
$698$	−17.3266	+	7.91279i	−0.655821	+	0.299503i
$699$	15.6340	−	13.5470i	0.591334	−	0.512394i
$700$	−2.77303	−	9.23079i	−0.104811	−	0.348891i
$701$	38.2455	+	5.49887i	1.44451	+	0.207689i	0.819569	−	0.572981i	$-0.194213\pi$
$701$	38.2455	+	5.49887i	1.44451	+	0.207689i	0.624943	+	0.780670i	$0.285122\pi$
$702$	0.659649	−	4.58796i	0.0248968	−	0.173161i
$703$	−0.691782	+	1.07643i	−0.0260910	+	0.0405985i
$704$	1.13646	−	0.984752i	0.0428321	−	0.0371142i
$705$	−0.408360	−	0.894183i	−0.0153797	−	0.0336769i
$706$	−16.8228	−	26.1767i	−0.633133	−	0.985174i
$707$	−20.1366	+	13.1191i	−0.757315	+	0.493396i
$708$	2.23442	−	2.57866i	0.0839747	−	0.0969119i
$709$	4.21815	+	14.3657i	0.158416	+	0.539515i	1.00000		0.000611116i	$-0.000194524\pi$
$709$	4.21815	+	14.3657i	0.158416	+	0.539515i	−0.841584	+	0.540127i	$0.818376\pi$
$710$	3.58038	−	7.83995i	0.134369	−	0.294228i
$711$	1.28926	−	0.185367i	0.0483510	−	0.00695182i
$712$	8.43717			0.316196
$713$	1.99408	+	1.23235i	0.0746789	+	0.0461518i
$714$	0.146920	−	0.171706i	0.00549833	−	0.00642593i
$715$	−1.15555	−	8.03704i	−0.0432152	−	0.300568i
$716$	−8.19250	+	17.9391i	−0.306168	+	0.670415i
$717$	−2.89892	−	9.87282i	−0.108262	−	0.368707i
$718$	16.1252	+	13.9726i	0.601788	+	0.521452i
$719$	−2.88884	+	9.83848i	−0.107736	+	0.366914i	−0.995659	−	0.0930780i	$-0.970329\pi$
$719$	−2.88884	+	9.83848i	−0.107736	+	0.366914i	0.887923	+	0.459992i	$0.152148\pi$
$720$	−0.980000	+	0.629808i	−0.0365224	+	0.0234715i
$721$	2.93733	−	10.2394i	0.109392	−	0.381334i
$722$	−6.57749	−	7.59083i	−0.244789	−	0.282501i
$723$	6.32072	−	9.83523i	0.235070	−	0.365776i
$724$	−1.00811	+	7.01159i	−0.0374663	+	0.260584i
$725$	0.204426	−	1.42181i	0.00759218	−	0.0528048i
$726$	−4.72451	+	7.35147i	−0.175343	+	0.272839i
$727$	−0.273736	−	0.315909i	−0.0101523	−	0.0117164i	0.750651	−	0.660699i	$-0.229740\pi$
$727$	−0.273736	−	0.315909i	−0.0101523	−	0.0117164i	−0.760803	+	0.648983i	$0.775195\pi$
$728$	−11.7880	−	3.38158i	−0.436891	−	0.125330i
$729$	−0.841254	+	0.540641i	−0.0311575	+	0.0200237i
$730$	4.04908	−	13.7899i	0.149863	−	0.510387i
$731$	0.398417	+	0.345230i	0.0147360	+	0.0127688i
$732$	2.09409	+	7.13180i	0.0773997	+	0.263599i
$733$	−10.9494	+	23.9757i	−0.404424	+	0.885564i	0.592379	+	0.805659i	$0.298189\pi$
$733$	−10.9494	+	23.9757i	−0.404424	+	0.885564i	−0.996803	+	0.0799047i	$0.974538\pi$
$734$	−5.05401	−	35.1514i	−0.186547	−	1.29746i
$735$	8.05640	−	1.26106i	0.297165	−	0.0465149i
$736$	−1.26974	+	4.62469i	−0.0468031	+	0.170468i
$737$	−2.93701			−0.108186
$738$	−0.853691	+	0.122742i	−0.0314248	+	0.00451820i
$739$	−14.0194	+	30.6983i	−0.515713	+	1.12925i	0.455324	+	0.890326i	$0.349523\pi$
$739$	−14.0194	+	30.6983i	−0.515713	+	1.12925i	−0.971037	+	0.238929i	$0.923204\pi$
$740$	0.140327	+	0.477911i	0.00515853	+	0.0175683i
$741$	−9.08377	+	10.4832i	−0.333701	+	0.385111i
$742$	−20.5979	+	13.4197i	−0.756174	+	0.492652i
$743$	−8.20747	−	12.7711i	−0.301103	−	0.468525i	0.657427	−	0.753519i	$-0.271645\pi$
$743$	−8.20747	−	12.7711i	−0.301103	−	0.468525i	−0.958529	+	0.284993i	$0.908009\pi$
$744$	0.203050	+	0.444618i	0.00744419	+	0.0163005i
$745$	−2.49259	+	2.15984i	−0.0913215	+	0.0791305i
$746$	4.99145	−	7.76684i	0.182750	−	0.284364i
$747$	0.431704	−	3.00257i	0.0157952	−	0.109858i
$748$	0.127134	+	0.0182791i	0.00464848	+	0.000668350i
$749$	23.6731	−	7.11167i	0.864997	−	0.259855i
$750$	−7.60919	+	6.59340i	−0.277848	+	0.240757i
$751$	43.8074	−	20.0062i	1.59855	−	0.730035i	0.600955	−	0.799283i	$-0.294787\pi$
$751$	43.8074	−	20.0062i	1.59855	−	0.730035i	0.997599	+	0.0692479i	$0.0220600\pi$
$752$	−0.456216	−	0.709886i	−0.0166365	−	0.0258869i
$753$	−4.24536	+	14.4584i	−0.154710	+	0.526892i
$754$	−1.38125	−	1.19686i	−0.0503023	−	0.0435872i
$755$	9.15248	−	2.68741i	0.333093	−	0.0978049i
$756$	1.11407	+	2.39976i	0.0405183	+	0.0872785i
$757$	18.7464	−	2.69533i	0.681350	−	0.0979634i	0.207055	−	0.978329i	$-0.433612\pi$
$757$	18.7464	−	2.69533i	0.681350	−	0.0979634i	0.474295	+	0.880366i	$0.342703\pi$
$758$			21.3153i			0.774206i
$759$	0.127254	+	7.21065i	0.00461902	+	0.261730i
$760$	3.48621			0.126458
$761$	−27.8408	+	4.00290i	−1.00923	+	0.145105i	−0.627046	−	0.778982i	$-0.715736\pi$
$761$	−27.8408	+	4.00290i	−1.00923	+	0.145105i	−0.382181	+	0.924087i	$0.624827\pi$
$762$	−8.01176	−	3.65885i	−0.290235	−	0.132546i
$763$	13.3220	−	29.6591i	0.482290	−	1.07373i
$764$	−20.1802	−	17.4862i	−0.730094	−	0.632630i
$765$	−0.0954702	−	0.0280326i	−0.00345173	−	0.00101352i
$766$	19.8098	−	12.7310i	0.715757	−	0.459989i
$767$	−6.56993	−	14.3861i	−0.237226	−	0.519453i
$768$	−0.755750	+	0.654861i	−0.0272708	+	0.0236303i
$769$	−20.4944	−	13.1709i	−0.739046	−	0.474956i	0.116169	−	0.993229i	$-0.462939\pi$
$769$	−20.4944	−	13.1709i	−0.739046	−	0.474956i	−0.855215	+	0.518273i	$0.826575\pi$
$770$	3.05689	+	3.48372i	0.110163	+	0.125544i
$771$	−0.645645	+	4.49056i	−0.0232523	+	0.161723i
$772$	−14.0996	−	9.06129i	−0.507457	−	0.326123i
$773$	−11.1633	−	12.8831i	−0.401515	−	0.463373i	0.518603	−	0.855015i	$-0.326452\pi$
$773$	−11.1633	−	12.8831i	−0.401515	−	0.463373i	−0.920117	+	0.391643i	$0.871907\pi$
$774$	−5.61434	+	2.56398i	−0.201803	+	0.0921605i
$775$	0.962682	+	1.49796i	0.0345806	+	0.0538084i
$776$	−3.83211	−	1.12521i	−0.137565	−	0.0403927i
$777$	1.11870	−	0.167970i	0.0401331	−	0.00602590i
$778$	5.78120	+	19.6890i	0.207266	+	0.705883i
$779$	2.34782	+	1.07221i	0.0841193	+	0.0384160i
$780$	0.768443	+	5.34464i	0.0275147	+	0.191369i
$781$		−	11.1257i		−	0.398108i
$782$	−0.369551	+	0.176714i	−0.0132151	+	0.00631930i
$783$			0.394306i			0.0140913i
$784$	6.69134	−	2.05572i	0.238976	−	0.0734186i
$785$	3.71061	−	8.12509i	0.132437	−	0.289997i
$786$	−9.60664	+	2.82076i	−0.342658	+	0.100613i
$787$	−31.2518	+	36.0665i	−1.11401	+	1.28563i	−0.159582	+	0.987185i	$0.551015\pi$
$787$	−31.2518	+	36.0665i	−1.11401	+	1.28563i	−0.954426	+	0.298448i	$0.903531\pi$
$788$	−2.88796	−	0.847982i	−0.102879	−	0.0302081i
$789$	−12.1021	+	7.77753i	−0.430845	+	0.276887i
$790$	−1.38022	+	0.630325i	−0.0491060	+	0.0224260i
$791$	3.45450	−	0.0215378i	0.122828	−	0.000765797i
$792$	−0.812993	+	1.26504i	−0.0288884	+	0.0449513i
$793$	34.1018	+	4.90309i	1.21099	+	0.174114i
$794$	−17.5432	−	2.52233i	−0.622585	−	0.0895142i
$795$	9.10597	+	5.85205i	0.322955	+	0.207551i
$796$	−1.73355	−	2.00062i	−0.0614439	−	0.0709101i
$797$	−1.60571	−	3.51601i	−0.0568772	−	0.124544i	0.879059	−	0.476712i	$-0.158172\pi$
$797$	−1.60571	−	3.51601i	−0.0568772	−	0.124544i	−0.935937	+	0.352169i	$0.885444\pi$
$798$	1.07793	−	7.84406i	0.0381585	−	0.277677i
$799$	0.0203061	−	0.0691561i	0.000718376	−	0.00244657i
$800$	−2.38562	+	2.75315i	−0.0843444	+	0.0973386i
$801$	−8.09540	+	2.37702i	−0.286037	+	0.0839880i
$802$	−35.8921	−	16.3914i	−1.26740	−	0.578800i
$803$	−2.64027	−	18.3635i	−0.0931731	−	0.648033i
$804$	1.95312			0.0688811
$805$	−14.2779	−	3.82452i	−0.503231	−	0.134797i
$806$	2.26560			0.0798025
$807$	−0.782961	−	5.44561i	−0.0275615	−	0.191695i
$808$	8.26282	+	3.77350i	0.290685	+	0.132751i
$809$	−7.41346	+	2.17679i	−0.260643	+	0.0765317i	−0.409443	−	0.912336i	$-0.634277\pi$
$809$	−7.41346	+	2.17679i	−0.260643	+	0.0765317i	0.148800	+	0.988867i	$0.452459\pi$
$810$	0.762866	−	0.880394i	0.0268044	−	0.0309339i
$811$	1.88453	−	6.41813i	0.0661749	−	0.225371i	−0.919765	−	0.392468i	$-0.871621\pi$
$811$	1.88453	−	6.41813i	0.0661749	−	0.225371i	0.985940	+	0.167097i	$0.0534394\pi$
$812$	1.03352	+	0.142027i	0.0362695	+	0.00498417i
$813$	−2.78884	−	6.10671i	−0.0978089	−	0.214172i
$814$	0.421049	+	0.485916i	0.0147578	+	0.0170314i
$815$	2.41618	+	1.55278i	0.0846350	+	0.0543916i
$816$	−0.0845442	−	0.0121556i	−0.00295964	−	0.000425532i
$817$	18.2829	+	2.62868i	0.639637	+	0.0919659i
$818$	−15.9307	+	24.7886i	−0.557003	+	0.866713i
$819$	12.2632	−	0.0764574i	0.428510	−	0.00267164i
$820$	0.913921	−	0.417374i	0.0319155	−	0.0145753i
$821$	33.1895	−	21.3296i	1.15832	−	0.744408i	0.187043	−	0.982352i	$-0.440110\pi$
$821$	33.1895	−	21.3296i	1.15832	−	0.744408i	0.971279	+	0.237943i	$0.0764732\pi$
$822$	−15.0883	−	4.43033i	−0.526266	−	0.154526i
$823$	−6.90232	+	7.96570i	−0.240600	+	0.277667i	−0.863188	−	0.504883i	$-0.831536\pi$
$823$	−6.90232	+	7.96570i	−0.240600	+	0.277667i	0.622588	+	0.782550i	$0.286081\pi$
$824$	−3.86312	+	1.13431i	−0.134578	+	0.0395157i
$825$	−2.27569	+	4.98306i	−0.0792292	+	0.173488i
$826$	7.62465	+	4.83316i	0.265296	+	0.168167i
$827$		−	31.0990i		−	1.08142i	−0.841210	−	0.540709i	$-0.818156\pi$
$827$		−	31.0990i		−	1.08142i	0.841210	−	0.540709i	$-0.181844\pi$
$828$	−0.0846238	−	4.79508i	−0.00294088	−	0.166641i
$829$		−	26.1774i		−	0.909180i	−0.890701	−	0.454590i	$-0.849786\pi$
$829$		−	26.1774i		−	0.909180i	0.890701	−	0.454590i	$-0.150214\pi$
$830$	0.502904	+	3.49777i	0.0174560	+	0.121409i
$831$	−3.71821	−	1.69805i	−0.128983	−	0.0589047i
$832$	1.30587	+	4.44738i	0.0452729	+	0.154185i
$833$	0.506973	+	0.316950i	0.0175656	+	0.0109817i
$834$	−18.3991	−	5.40248i	−0.637110	−	0.187072i
$835$	2.83937	+	4.41815i	0.0982605	+	0.152896i
$836$	4.09353	−	1.86945i	0.141578	−	0.0646564i
$837$	−0.320089	−	0.369402i	−0.0110639	−	0.0127684i
$838$	18.7646	+	12.0593i	0.648212	+	0.416581i
$839$	5.86884	−	40.8187i	0.202615	−	1.40922i	−0.593871	−	0.804560i	$-0.702401\pi$
$839$	5.86884	−	40.8187i	0.202615	−	1.40922i	0.796486	−	0.604657i	$-0.206690\pi$
$840$	−2.03284	−	2.31667i	−0.0701395	−	0.0799329i
$841$	−24.2656	−	15.5945i	−0.836743	−	0.537742i
$842$	5.31197	−	4.60285i	0.183063	−	0.158625i
$843$	7.35148	+	16.0975i	0.253199	+	0.554428i
$844$	−7.33515	+	4.71402i	−0.252486	+	0.162263i
$845$	9.48346	+	2.78459i	0.326241	+	0.0957930i
$846$	0.637734	+	0.552600i	0.0219257	+	0.0189988i
$847$	−21.0906	−	9.47328i	−0.724681	−	0.325506i
$848$	8.45212	+	3.85995i	0.290247	+	0.132551i
$849$	−9.17985	+	1.31986i	−0.315052	+	0.0452976i
$850$	−0.311157			−0.0106726
$851$	−1.97737	−	0.542899i	−0.0677835	−	0.0186103i
$852$			7.39858i			0.253471i
$853$	−13.0467	+	1.87583i	−0.446709	+	0.0642271i	−0.361999	−	0.932179i	$-0.617906\pi$
$853$	−13.0467	+	1.87583i	−0.446709	+	0.0642271i	−0.0847103	+	0.996406i	$0.526996\pi$
$854$	−17.8372	+	8.28074i	−0.610375	+	0.283361i
$855$	−3.34500	+	0.982179i	−0.114396	+	0.0335898i
$856$	−7.06068	−	6.11812i	−0.241329	−	0.209113i
$857$	8.16463	−	27.8062i	0.278898	−	0.949841i	−0.694264	−	0.719721i	$-0.744270\pi$
$857$	8.16463	−	27.8062i	0.278898	−	0.949841i	0.973162	−	0.230120i	$-0.0739119\pi$
$858$	3.76833	+	5.86364i	0.128649	+	0.200181i
$859$	−28.0321	+	12.8018i	−0.956442	+	0.436792i	−0.831594	−	0.555384i	$-0.812571\pi$
$859$	−28.0321	+	12.8018i	−0.956442	+	0.436792i	−0.124847	+	0.992176i	$0.539844\pi$
$860$	5.43388	−	4.70848i	0.185294	−	0.160558i
$861$	−0.656518	−	2.18540i	−0.0223741	−	0.0744782i
$862$	6.18115	+	0.888715i	0.210531	+	0.0302697i
$863$	2.71488	−	18.8824i	0.0924157	−	0.642765i	−0.889986	−	0.455987i	$-0.849286\pi$
$863$	2.71488	−	18.8824i	0.0924157	−	0.642765i	0.982402	−	0.186778i	$-0.0598046\pi$
$864$	0.540641	−	0.841254i	0.0183930	−	0.0286200i
$865$	6.95049	−	6.02264i	0.236324	−	0.204776i
$866$	5.66658	+	12.4081i	0.192558	+	0.421644i
$867$	9.18695	+	14.2952i	0.312005	+	0.485490i
$868$	−1.08354	+	0.705934i	−0.0367778	+	0.0239610i
$869$	−1.28266	+	1.48026i	−0.0435111	+	0.0502145i
$870$	−0.129410	−	0.440731i	−0.00438742	−	0.0149422i
$871$	3.76074	−	8.23486i	0.127428	−	0.279028i
$872$	−12.1639	+	1.74891i	−0.411923	+	0.0592256i
$873$	3.99389			0.135173
$874$	−7.54513	+	12.2089i	−0.255218	+	0.412971i
$875$	−20.2404	−	17.3187i	−0.684251	−	0.585477i
$876$	1.75578	+	12.2117i	0.0593224	+	0.412596i
$877$	−8.60625	+	18.8451i	−0.290612	+	0.636352i	−0.997477	−	0.0709971i	$-0.977382\pi$
$877$	−8.60625	+	18.8451i	−0.290612	+	0.636352i	0.706864	+	0.707349i	$0.250109\pi$
$878$	−2.57072	−	8.75507i	−0.0867576	−	0.295469i
$879$	0.507211	+	0.439501i	0.0171078	+	0.0148240i
$880$	0.493531	−	1.68081i	0.0166369	−	0.0566601i
$881$	−2.96690	+	1.90671i	−0.0999572	+	0.0642386i	−0.589664	−	0.807648i	$-0.700740\pi$
$881$	−2.96690	+	1.90671i	−0.0999572	+	0.0642386i	0.489707	+	0.871887i	$0.337104\pi$
$882$	−5.84113	+	3.85762i	−0.196681	+	0.129893i
$883$	−12.1778	−	14.0539i	−0.409814	−	0.472950i	0.512893	−	0.858453i	$-0.328574\pi$
$883$	−12.1778	−	14.0539i	−0.409814	−	0.472950i	−0.922707	+	0.385502i	$0.874028\pi$
$884$	−0.214042	+	0.333055i	−0.00719900	+	0.0112019i
$885$	0.565673	−	3.93434i	0.0190149	−	0.132251i
$886$	5.14796	−	35.8049i	0.172949	−	1.20289i
$887$	−7.35575	+	11.4458i	−0.246982	+	0.384311i	−0.942505	−	0.334193i	$-0.891536\pi$
$887$	−7.35575	+	11.4458i	−0.246982	+	0.384311i	0.695523	+	0.718504i	$0.255173\pi$
$888$	−0.279998	−	0.323135i	−0.00939611	−	0.0108437i
$889$	6.42568	−	22.3995i	0.215510	−	0.751256i
$890$	8.26842	−	5.31379i	0.277158	−	0.178119i
$891$	0.423657	−	1.44284i	0.0141931	−	0.0483371i
$892$	17.1725	+	14.8800i	0.574977	+	0.498221i
$893$	−0.711464	−	2.42302i	−0.0238082	−	0.0810834i
$894$	1.17613	−	2.57537i	0.0393357	−	0.0861333i
$895$	3.26952	+	22.7400i	0.109288	+	0.760114i
$896$	−2.01029	−	1.72010i	−0.0671590	−	0.0574645i
$897$	−20.3803	−	8.87616i	−0.680479	−	0.296367i
$898$	−5.78015			−0.192886
$899$	−0.190771	+	0.0274287i	−0.00636255	+	0.000914797i
$900$	1.51333	−	3.31374i	0.0504444	−	0.110458i
$901$	0.223596	+	0.761498i	0.00744906	+	0.0253692i
$902$	0.849319	−	0.980166i	0.0282792	−	0.0326360i
$903$	−8.91406	−	13.6822i	−0.296641	−	0.455316i
$904$	−0.705917	−	1.09843i	−0.0234785	−	0.0365332i
$905$	3.42800	+	7.50627i	0.113951	+	0.249517i
$906$	−6.18836	+	5.36225i	−0.205595	+	0.178149i
$907$	8.39375	−	13.0609i	0.278710	−	0.433681i	−0.673472	−	0.739213i	$-0.735198\pi$
$907$	8.39375	−	13.0609i	0.278710	−	0.433681i	0.952182	+	0.305532i	$0.0988341\pi$
$908$	3.68672	−	25.6417i	0.122348	−	0.850950i
$909$	−8.99124	−	1.29274i	−0.298221	−	0.0428776i
$910$	−13.6820	+	4.11021i	−0.453553	+	0.136252i
$911$	16.4542	−	14.2576i	0.545151	−	0.472376i	−0.338209	−	0.941071i	$-0.609821\pi$
$911$	16.4542	−	14.2576i	0.545151	−	0.472376i	0.883360	+	0.468695i	$0.155276\pi$
$912$	−2.72220	+	1.24319i	−0.0901411	+	0.0411661i
$913$	2.46617	+	3.83743i	0.0816182	+	0.127000i
$914$	11.3679	−	38.7156i	0.376018	−	1.28060i
$915$	6.54387	+	5.67029i	0.216334	+	0.187454i
$916$	12.6703	−	3.72033i	0.418638	−	0.122923i
$917$	−11.1543	−	24.0269i	−0.368347	−	0.793438i
$918$	0.0845442	−	0.0121556i	0.00279037	−	0.000401195i
$919$		−	21.7952i		−	0.718957i	−0.933153	−	0.359479i	$-0.882955\pi$
$919$		−	21.7952i		−	0.718957i	0.933153	−	0.359479i	$-0.117045\pi$
$920$	1.66833	+	5.33189i	0.0550031	+	0.175787i
$921$	−18.1129			−0.596839
$922$	18.6930	−	2.68764i	0.615620	−	0.0885128i
$923$	31.1944	+	14.2460i	1.02678	+	0.468913i
$924$	−3.62927	−	1.63016i	−0.119394	−	0.0536284i
$925$	−1.17716	−	1.02002i	−0.0387048	−	0.0335379i
$926$	−38.5269	−	11.3125i	−1.26607	−	0.371752i
$927$	3.38706	−	2.17673i	0.111246	−	0.0714933i
$928$	−0.163800	−	0.358673i	−0.00537701	−	0.0117740i
$929$	−34.7565	+	30.1167i	−1.14032	+	0.988095i	−0.999998	−	0.00201004i	$-0.999360\pi$
$929$	−34.7565	+	30.1167i	−1.14032	+	0.988095i	−0.140325	+	0.990106i	$0.544815\pi$
$930$	0.479013	+	0.307843i	0.0157075	+	0.0100946i
$931$	20.9469	−	0.261206i	0.686505	−	0.00856066i
$932$	2.94404	−	20.4762i	0.0964352	−	0.670721i
$933$	−1.79551	−	1.15390i	−0.0587822	−	0.0377770i
$934$	−13.7083	−	15.8202i	−0.448549	−	0.517653i
$935$	0.136104	−	0.0621564i	0.00445106	−	0.00203273i
$936$	−2.50594	−	3.89933i	−0.0819093	−	0.127453i
$937$	−2.91450	−	0.855774i	−0.0952125	−	0.0279569i	0.233779	−	0.972290i	$-0.424891\pi$
$937$	−2.91450	−	0.855774i	−0.0952125	−	0.0279569i	−0.328992	+	0.944333i	$0.606709\pi$
$938$	0.767281	+	5.11018i	0.0250526	+	0.166853i
$939$	4.26144	+	14.5131i	0.139067	+	0.473618i
$940$	−0.894183	−	0.408360i	−0.0291650	−	0.0133192i
$941$	−7.85088	−	54.6041i	−0.255931	−	1.78004i	−0.561104	−	0.827745i	$-0.689623\pi$
$941$	−7.85088	−	54.6041i	−0.255931	−	1.78004i	0.305173	−	0.952297i	$-0.401286\pi$
$942$			7.66767i			0.249826i
$943$	−0.516317	+	4.10391i	−0.0168136	+	0.133642i
$944$		−	3.41205i		−	0.111053i
$945$	2.60317	+	1.65012i	0.0846813	+	0.0536783i
$946$	3.85561	−	8.44261i	0.125357	−	0.274493i
$947$	−8.35246	+	2.45250i	−0.271418	+	0.0796956i	−0.414610	−	0.909999i	$-0.636082\pi$
$947$	−8.35246	+	2.45250i	−0.271418	+	0.0796956i	0.143191	+	0.989695i	$0.454264\pi$
$948$	0.852967	−	0.984376i	0.0277031	−	0.0319711i
$949$	54.8687	+	16.1109i	1.78111	+	0.522982i
$950$	−9.17136	+	5.89408i	−0.297558	+	0.191229i
$951$	12.5230	−	5.71904i	0.406085	−	0.185453i
$952$	−0.00140891	−	0.225979i	−4.56631e−5	−	0.00732401i
$953$	7.62313	−	11.8618i	0.246937	−	0.384242i	−0.695553	−	0.718474i	$-0.744841\pi$
$953$	7.62313	−	11.8618i	0.246937	−	0.384242i	0.942491	+	0.334232i	$0.108477\pi$
$954$	−9.19723	−	1.32236i	−0.297771	−	0.0428130i
$955$	−30.7895	−	4.42687i	−0.996326	−	0.143250i
$956$	−8.65618	−	5.56299i	−0.279961	−	0.179920i
$957$	−0.388293	−	0.448114i	−0.0125517	−	0.0144855i
$958$	10.2141	+	22.3657i	0.330001	+	0.722602i
$959$	5.66418	−	41.2179i	0.182906	−	1.33099i
$960$	−0.328198	+	1.11774i	−0.0105926	+	0.0360749i
$961$	−20.1442	+	23.2477i	−0.649814	+	0.749925i
$962$	−1.90156	+	0.558348i	−0.0613088	+	0.0180019i
$963$	8.49835	+	3.88107i	0.273855	+	0.125066i
$964$	−1.66383	−	11.5722i	−0.0535882	−	0.372714i
$965$	−19.5245			−0.628516
$966$	12.5127	−	2.10516i	0.402590	−	0.0677324i
$967$	−31.0678			−0.999073			−0.499536	−	0.866293i	$-0.666496\pi$
$967$	−31.0678			−0.999073			−0.499536	+	0.866293i	$0.666496\pi$
$968$	1.24365	+	8.64977i	0.0399724	+	0.278014i
$969$	−0.232513	−	0.106185i	−0.00746939	−	0.00341116i
$970$	−4.46413	+	1.31079i	−0.143335	+	0.0420869i
$971$	−14.9182	+	17.2165i	−0.478748	+	0.552505i	−0.942824	−	0.333291i	$-0.891841\pi$
$971$	−14.9182	+	17.2165i	−0.478748	+	0.552505i	0.464076	+	0.885795i	$0.346386\pi$
$972$	−0.281733	+	0.959493i	−0.00903658	+	0.0307758i
$973$	6.90707	−	50.2623i	0.221430	−	1.61134i
$974$	−7.59322	−	16.6268i	−0.243302	−	0.532758i
$975$	−11.0577	−	12.7612i	−0.354129	−	0.408687i
$976$	6.25294	+	4.01852i	0.200152	+	0.128630i
$977$	−9.07209	−	1.30437i	−0.290242	−	0.0417305i	−0.00434394	−	0.999991i	$-0.501383\pi$
$977$	−9.07209	−	1.30437i	−0.290242	−	0.0417305i	−0.285898	+	0.958260i	$0.592292\pi$
$978$	−2.44039	−	0.350876i	−0.0780352	−	0.0112198i
$979$	6.85936	−	10.6734i	0.219226	−	0.341122i
$980$	5.26280	−	6.22886i	0.168114	−	0.198974i
$981$	11.1785	−	5.10505i	0.356902	−	0.162992i
$982$	14.4011	−	9.25500i	0.459557	−	0.295339i
$983$	−7.58403	−	2.22687i	−0.241893	−	0.0710262i	0.158539	−	0.987353i	$-0.449322\pi$
$983$	−7.58403	−	2.22687i	−0.241893	−	0.0710262i	−0.400432	+	0.916327i	$0.631140\pi$
$984$	−0.564798	+	0.651811i	−0.0180051	+	0.0207790i
$985$	−3.36427	+	0.987838i	−0.107194	+	0.0314751i
$986$	0.0139908	−	0.0306355i	0.000445557	−	0.000975634i
$987$	−1.19530	+	1.88567i	−0.0380468	+	0.0600215i
$988$			13.8713i			0.441305i
$989$	4.72891	+	29.2202i	0.150370	+	0.929148i
$990$			1.75177i			0.0556749i
$991$	−1.20567	−	8.38562i	−0.0382994	−	0.266378i	0.961670	−	0.274210i	$-0.0884162\pi$
$991$	−1.20567	−	8.38562i	−0.0382994	−	0.266378i	−0.999969	+	0.00783160i	$0.997507\pi$
$992$	0.444618	+	0.203050i	0.0141166	+	0.00644686i
$993$	−1.41628	−	4.82342i	−0.0449444	−	0.153066i
$994$	−19.3578	+	2.90653i	−0.613992	+	0.0921895i
$995$	−2.95888	−	0.868806i	−0.0938028	−	0.0275430i
$996$	−1.64000	−	2.55189i	−0.0519655	−	0.0808598i
$997$	−3.31613	+	1.51443i	−0.105023	+	0.0479624i	−0.467234	−	0.884134i	$-0.654749\pi$
$997$	−3.31613	+	1.51443i	−0.105023	+	0.0479624i	0.362211	+	0.932096i	$0.382022\pi$
$998$	−20.0994	−	23.1959i	−0.636235	−	0.734255i
$999$	0.359694	+	0.231161i	0.0113802	+	0.00731361i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	966.2.s.b.181.3	✓	160
7.6	odd	2	inner	966.2.s.b.181.14	yes	160
23.15	odd	22	inner	966.2.s.b.475.14	yes	160
161.153	even	22	inner	966.2.s.b.475.3	yes	160

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
966.2.s.b.181.3	✓	160	1.1	even	1	trivial
966.2.s.b.181.14	yes	160	7.6	odd	2	inner
966.2.s.b.475.3	yes	160	161.153	even	22	inner
966.2.s.b.475.14	yes	160	23.15	odd	22	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:	\( N \)	\(=\)	\( 966 = 2 \cdot 3 \cdot 7 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	966.s (of order \(22\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(0.142315 + 0.989821i) q^{2} +(-0.909632 - 0.415415i) q^{3} +(-0.959493 + 0.281733i) q^{4} +(-0.762866 + 0.880394i) q^{5} +(0.281733 - 0.959493i) q^{6} +(2.62112 + 0.360195i) q^{7} +(-0.415415 - 0.909632i) q^{8} +(0.654861 + 0.755750i) q^{9} +O(q^{10})\)	\(q+(0.142315 + 0.989821i) q^{2} +(-0.909632 - 0.415415i) q^{3} +(-0.959493 + 0.281733i) q^{4} +(-0.762866 + 0.880394i) q^{5} +(0.281733 - 0.959493i) q^{6} +(2.62112 + 0.360195i) q^{7} +(-0.415415 - 0.909632i) q^{8} +(0.654861 + 0.755750i) q^{9} +(-0.980000 - 0.629808i) q^{10} +(-1.48845 - 0.214007i) q^{11} +(0.989821 + 0.142315i) q^{12} +(2.50594 - 3.89933i) q^{13} +(0.0164952 + 2.64570i) q^{14} +(1.05966 - 0.483929i) q^{15} +(0.841254 - 0.540641i) q^{16} +(0.0819537 + 0.0240638i) q^{17} +(-0.654861 + 0.755750i) q^{18} +(2.87142 - 0.843124i) q^{19} +(0.483929 - 1.05966i) q^{20} +(-2.23462 - 1.41650i) q^{21} -1.50376i q^{22} +(2.66361 + 3.98813i) q^{23} +1.00000i q^{24} +(0.518445 + 3.60586i) q^{25} +(4.21627 + 1.92551i) q^{26} +(-0.281733 - 0.959493i) q^{27} +(-2.61642 + 0.392850i) q^{28} +(-0.378333 - 0.111089i) q^{29} +(0.629808 + 0.980000i) q^{30} +(0.444618 - 0.203050i) q^{31} +(0.654861 + 0.755750i) q^{32} +(1.26504 + 0.812993i) q^{33} +(-0.0121556 + 0.0845442i) q^{34} +(-2.31667 + 2.03284i) q^{35} +(-0.841254 - 0.540641i) q^{36} +(-0.323135 + 0.279998i) q^{37} +(1.24319 + 2.72220i) q^{38} +(-3.89933 + 2.50594i) q^{39} +(1.11774 + 0.328198i) q^{40} +(0.651811 + 0.564798i) q^{41} +(1.08406 - 2.41347i) q^{42} +(5.61434 + 2.56398i) q^{43} +(1.48845 - 0.214007i) q^{44} -1.16493 q^{45} +(-3.56847 + 3.20407i) q^{46} -0.843843i q^{47} +(-0.989821 + 0.142315i) q^{48} +(6.74052 + 1.88823i) q^{49} +(-3.49538 + 1.02634i) q^{50} +(-0.0645513 - 0.0559340i) q^{51} +(-1.30587 + 4.44738i) q^{52} +(5.02353 + 7.81676i) q^{53} +(0.909632 - 0.415415i) q^{54} +(1.32390 - 1.14717i) q^{55} +(-0.761207 - 2.53388i) q^{56} +(-2.96218 - 0.425897i) q^{57} +(0.0561155 - 0.390292i) q^{58} +(1.84470 - 2.87040i) q^{59} +(-0.880394 + 0.762866i) q^{60} +(3.08773 + 6.76119i) q^{61} +(0.264259 + 0.411196i) q^{62} +(1.44425 + 2.21679i) q^{63} +(-0.654861 + 0.755750i) q^{64} +(1.52124 + 5.18088i) q^{65} +(-0.624683 + 1.36787i) q^{66} +(1.93324 - 0.277957i) q^{67} -0.0854136 q^{68} +(-0.766174 - 4.73423i) q^{69} +(-2.34184 - 2.00379i) q^{70} +(1.05293 + 7.32327i) q^{71} +(0.415415 - 0.909632i) q^{72} +(3.47582 + 11.8376i) q^{73} +(-0.323135 - 0.279998i) q^{74} +(1.02634 - 3.49538i) q^{75} +(-2.51757 + 1.61794i) q^{76} +(-3.82432 - 1.09707i) q^{77} +(-3.03537 - 3.50300i) q^{78} +(0.704194 - 1.09575i) q^{79} +(-0.165787 + 1.15307i) q^{80} +(-0.142315 + 0.989821i) q^{81} +(-0.466286 + 0.725556i) q^{82} +(-1.98648 - 2.29252i) q^{83} +(2.54318 + 0.729553i) q^{84} +(-0.0837053 + 0.0537941i) q^{85} +(-1.73888 + 5.92209i) q^{86} +(0.297996 + 0.258215i) q^{87} +(0.423657 + 1.44284i) q^{88} +(-3.50493 + 7.67472i) q^{89} +(-0.165787 - 1.15307i) q^{90} +(7.97289 - 9.31796i) q^{91} +(-3.67930 - 3.07616i) q^{92} -0.488789 q^{93} +(0.835254 - 0.120091i) q^{94} +(-1.44822 + 3.17117i) q^{95} +(-0.281733 - 0.959493i) q^{96} +(2.61544 - 3.01838i) q^{97} +(-0.909732 + 6.94063i) q^{98} +(-0.812993 - 1.26504i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 160 q + 16 q^{2} - 16 q^{4} + 16 q^{8} + 16 q^{9}+O(q^{10}) \) 160 * q + 16 * q^2 - 16 * q^4 + 16 * q^8 + 16 * q^9	\( 160 q + 16 q^{2} - 16 q^{4} + 16 q^{8} + 16 q^{9} + 22 q^{14} - 16 q^{16} - 16 q^{18} - 52 q^{23} - 48 q^{25} + 22 q^{28} - 12 q^{29} + 16 q^{32} + 22 q^{35} + 16 q^{36} + 22 q^{37} - 4 q^{39} + 154 q^{43} + 8 q^{46} + 4 q^{50} + 22 q^{51} + 88 q^{53} + 22 q^{57} + 56 q^{58} - 16 q^{64} + 16 q^{71} - 16 q^{72} + 22 q^{74} - 72 q^{77} + 4 q^{78} + 88 q^{79} - 16 q^{81} - 22 q^{84} - 68 q^{85} - 44 q^{86} + 44 q^{88} - 8 q^{92} - 8 q^{93} - 66 q^{95} + 66 q^{98} - 66 q^{99}+O(q^{100}) \) 160 * q + 16 * q^2 - 16 * q^4 + 16 * q^8 + 16 * q^9 + 22 * q^14 - 16 * q^16 - 16 * q^18 - 52 * q^23 - 48 * q^25 + 22 * q^28 - 12 * q^29 + 16 * q^32 + 22 * q^35 + 16 * q^36 + 22 * q^37 - 4 * q^39 + 154 * q^43 + 8 * q^46 + 4 * q^50 + 22 * q^51 + 88 * q^53 + 22 * q^57 + 56 * q^58 - 16 * q^64 + 16 * q^71 - 16 * q^72 + 22 * q^74 - 72 * q^77 + 4 * q^78 + 88 * q^79 - 16 * q^81 - 22 * q^84 - 68 * q^85 - 44 * q^86 + 44 * q^88 - 8 * q^92 - 8 * q^93 - 66 * q^95 + 66 * q^98 - 66 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

Related objects

Downloads

Learn more