LMFDB - Embedded newform 684.2.cc.a.211.7

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [684,2,Mod(211,684)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(684, base_ring=CyclotomicField(18))

chi = DirichletCharacter(H, H._module([9, 6, 1]))

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

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

chi := DirichletCharacter("684.211");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 684 = 2^{2} \cdot 3^{2} \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	684.cc (of order $18$, degree $6$, 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:	$5.46176749826$
Analytic rank:	$0$
Dimension:	$696$
Relative dimension:	$116$ over $\Q(\zeta_{18})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label			211.7
Character	$\chi$	$=$	684.211
Dual form			684.2.cc.a.295.7

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-1.38230 - 0.298732i) q^{2} +(1.72024 + 0.201885i) q^{3} +(1.82152 + 0.825876i) q^{4} +(0.221266 - 1.25486i) q^{5} +(-2.31759 - 0.792958i) q^{6} +(-3.98072 - 2.29827i) q^{7} +(-2.27117 - 1.68576i) q^{8} +(2.91848 + 0.694584i) q^{9} +(-0.680724 + 1.66850i) q^{10} +3.98674i q^{11} +(2.96673 + 1.78845i) q^{12} +(3.30335 - 0.582470i) q^{13} +(4.81599 + 4.36607i) q^{14} +(0.633970 - 2.11400i) q^{15} +(2.63586 + 3.00870i) q^{16} +(0.907723 - 5.14795i) q^{17} +(-3.82673 - 1.83197i) q^{18} +(3.53893 - 2.54479i) q^{19} +(1.43940 - 2.10302i) q^{20} +(-6.38383 - 4.75723i) q^{21} +(1.19097 - 5.51088i) q^{22} +(-3.76047 - 4.48155i) q^{23} +(-3.56664 - 3.35843i) q^{24} +(3.17274 + 1.15478i) q^{25} +(-4.74023 - 0.181668i) q^{26} +(4.88028 + 1.78405i) q^{27} +(-5.35287 - 7.47392i) q^{28} +(-5.48526 - 6.53708i) q^{29} +(-1.50786 + 2.73280i) q^{30} +5.75577 q^{31} +(-2.74476 - 4.94634i) q^{32} +(-0.804864 + 6.85818i) q^{33} +(-2.79261 + 6.84486i) q^{34} +(-3.76481 + 4.48673i) q^{35} +(4.74243 + 3.67550i) q^{36} -9.63493i q^{37} +(-5.65209 + 2.46047i) q^{38} +(5.80017 - 0.335094i) q^{39} +(-2.61793 + 2.47701i) q^{40} +(-0.744541 - 2.04561i) q^{41} +(7.40324 + 8.48299i) q^{42} +(1.01700 - 1.21201i) q^{43} +(-3.29256 + 7.26193i) q^{44} +(1.51737 - 3.50861i) q^{45} +(3.85932 + 7.31824i) q^{46} +(1.72046 + 2.05036i) q^{47} +(3.92691 + 5.70783i) q^{48} +(7.06409 + 12.2354i) q^{49} +(-4.04072 - 2.54406i) q^{50} +(2.60080 - 8.67248i) q^{51} +(6.49817 + 1.66718i) q^{52} +(-3.50418 + 9.62766i) q^{53} +(-6.21307 - 3.92400i) q^{54} +(5.00282 + 0.882131i) q^{55} +(5.16658 + 11.9303i) q^{56} +(6.60159 - 3.66320i) q^{57} +(5.62945 + 10.6748i) q^{58} +(-1.81501 - 1.52297i) q^{59} +(2.90069 - 3.32711i) q^{60} +(-0.334820 - 1.89886i) q^{61} +(-7.95621 - 1.71943i) q^{62} +(-10.0213 - 9.47241i) q^{63} +(2.31645 + 7.65729i) q^{64} -4.27413i q^{65} +(3.16132 - 9.23963i) q^{66} +(-11.1500 - 4.05827i) q^{67} +(5.90500 - 8.62742i) q^{68} +(-5.56417 - 8.46855i) q^{69} +(6.54444 - 5.07734i) q^{70} +(-1.12853 + 0.410751i) q^{71} +(-5.45749 - 6.49737i) q^{72} +(-2.96881 - 2.49113i) q^{73} +(-2.87826 + 13.3184i) q^{74} +(5.22476 + 2.62704i) q^{75} +(8.54791 - 1.71266i) q^{76} +(9.16261 - 15.8701i) q^{77} +(-8.11769 - 1.26950i) q^{78} +(-1.71787 + 9.74252i) q^{79} +(4.35873 - 2.64192i) q^{80} +(8.03511 + 4.05426i) q^{81} +(0.418091 + 3.05007i) q^{82} +(-5.57270 - 3.21740i) q^{83} +(-7.69937 - 13.9376i) q^{84} +(-6.25912 - 2.27814i) q^{85} +(-1.76786 + 1.37155i) q^{86} +(-8.11626 - 12.3528i) q^{87} +(6.72068 - 9.05458i) q^{88} +(2.58961 + 3.08618i) q^{89} +(-3.14560 + 4.39667i) q^{90} +(-14.4884 - 5.27335i) q^{91} +(-3.14856 - 11.2689i) q^{92} +(9.90133 + 1.16200i) q^{93} +(-1.76569 - 3.34818i) q^{94} +(-2.41031 - 5.00395i) q^{95} +(-3.72306 - 9.06305i) q^{96} +(0.753441 + 2.07006i) q^{97} +(-6.10961 - 19.0232i) q^{98} +(-2.76913 + 11.6353i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 696 q - 3 q^{2} - 3 q^{4} - 6 q^{5} - 6 q^{6} - 18 q^{8} - 12 q^{10} - 9 q^{12} - 6 q^{13} - 15 q^{14} - 3 q^{16} - 24 q^{17} - 6 q^{20} - 30 q^{21} + 21 q^{22} + 24 q^{24} - 6 q^{25} - 30 q^{26} - 6 q^{29}+ \cdots - 63 q^{98}+O(q^{100}) $ 696 * q - 3 * q^2 - 3 * q^4 - 6 * q^5 - 6 * q^6 - 18 * q^8 - 12 * q^10 - 9 * q^12 - 6 * q^13 - 15 * q^14 - 3 * q^16 - 24 * q^17 - 6 * q^20 - 30 * q^21 + 21 * q^22 + 24 * q^24 - 6 * q^25 - 30 * q^26 - 6 * q^29 - 21 * q^30 - 3 * q^32 + 36 * q^33 + 33 * q^34 + 54 * q^36 - 3 * q^38 - 33 * q^40 + 54 * q^41 - 87 * q^42 - 33 * q^44 - 6 * q^45 - 18 * q^46 + 6 * q^48 + 282 * q^49 - 3 * q^52 - 24 * q^53 - 51 * q^54 - 63 * q^56 - 12 * q^57 - 6 * q^58 - 27 * q^60 - 6 * q^61 - 18 * q^62 - 24 * q^64 - 30 * q^66 + 3 * q^68 - 18 * q^69 - 45 * q^70 + 12 * q^72 - 60 * q^73 + 3 * q^74 - 3 * q^76 + 72 * q^77 - 81 * q^78 - 12 * q^80 - 72 * q^81 - 12 * q^82 - 9 * q^84 - 6 * q^85 - 57 * q^86 - 9 * q^88 - 24 * q^89 + 39 * q^90 + 81 * q^92 - 48 * q^93 + 15 * q^96 + 30 * q^97 - 63 * q^98

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/684\mathbb{Z}\right)^\times$.

$n$	$325$	$343$	$533$
$\chi(n)$	$e\left(\frac{1}{18}\right)$	$-1$	$e\left(\frac{1}{3}\right)$

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 $

$2$	−1.38230	−	0.298732i	−0.977435	−	0.211235i
$2$	−1.38230	−	0.298732i	−0.977435	−	0.211235i
$3$	1.72024	+	0.201885i	0.993184	+	0.116558i
$3$	1.72024	+	0.201885i	0.993184	+	0.116558i
$4$	1.82152	+	0.825876i	0.910759	+	0.412938i
$5$	0.221266	−	1.25486i	0.0989532	−	0.561192i	−0.894511	−	0.447046i	$-0.852476\pi$
$5$	0.221266	−	1.25486i	0.0989532	−	0.561192i	0.993464	−	0.114145i	$-0.0364130\pi$
$6$	−2.31759	−	0.792958i	−0.946152	−	0.323724i
$7$	−3.98072	−	2.29827i	−1.50457	−	0.868664i	−0.999986	−	0.00530217i	$-0.998312\pi$
$7$	−3.98072	−	2.29827i	−1.50457	−	0.868664i	−0.504585	−	0.863362i	$-0.668354\pi$
$8$	−2.27117	−	1.68576i	−0.802981	−	0.596005i
$9$	2.91848	+	0.694584i	0.972828	+	0.231528i
$10$	−0.680724	+	1.66850i	−0.215264	+	0.527626i
$11$			3.98674i			1.20205i	0.799231	+	0.601024i	$0.205240\pi$
$11$			3.98674i			1.20205i	−0.799231	+	0.601024i	$0.794760\pi$
$12$	2.96673	+	1.78845i	0.856420	+	0.516280i
$13$	3.30335	−	0.582470i	0.916185	−	0.161548i	0.304375	−	0.952552i	$-0.401553\pi$
$13$	3.30335	−	0.582470i	0.916185	−	0.161548i	0.611811	+	0.791004i	$0.290441\pi$
$14$	4.81599	+	4.36607i	1.28713	+	1.16688i
$15$	0.633970	−	2.11400i	0.163690	−	0.545833i
$16$	2.63586	+	3.00870i	0.658964	+	0.752174i
$17$	0.907723	−	5.14795i	0.220155	−	1.24856i	−0.651578	−	0.758581i	$-0.725893\pi$
$17$	0.907723	−	5.14795i	0.220155	−	1.24856i	0.871733	−	0.489980i	$-0.162996\pi$
$18$	−3.82673	−	1.83197i	−0.901970	−	0.431799i
$19$	3.53893	−	2.54479i	0.811887	−	0.583815i
$19$	3.53893	−	2.54479i	0.811887	−	0.583815i
$20$	1.43940	−	2.10302i	0.321860	−	0.470249i
$21$	−6.38383	−	4.75723i	−1.39307	−	1.03811i
$22$	1.19097	−	5.51088i	0.253915	−	1.17492i
$23$	−3.76047	−	4.48155i	−0.784112	−	0.934469i	0.214999	−	0.976614i	$-0.431025\pi$
$23$	−3.76047	−	4.48155i	−0.784112	−	0.934469i	−0.999111	+	0.0421455i	$0.986581\pi$
$24$	−3.56664	−	3.35843i	−0.728038	−	0.685536i
$25$	3.17274	+	1.15478i	0.634548	+	0.230957i
$26$	−4.74023	−	0.181668i	−0.929636	−	0.0356280i
$27$	4.88028	+	1.78405i	0.939211	+	0.343341i
$28$	−5.35287	−	7.47392i	−1.01160	−	1.41244i
$29$	−5.48526	−	6.53708i	−1.01859	−	1.21391i	−0.976661	−	0.214785i	$-0.931095\pi$
$29$	−5.48526	−	6.53708i	−1.01859	−	1.21391i	−0.0419262	−	0.999121i	$-0.513349\pi$
$30$	−1.50786	+	2.73280i	−0.275296	+	0.498939i
$31$	5.75577			1.03377			0.516883	−	0.856056i	$-0.327092\pi$
$31$	5.75577			1.03377			0.516883	+	0.856056i	$0.327092\pi$
$32$	−2.74476	−	4.94634i	−0.485209	−	0.874398i
$33$	−0.804864	+	6.85818i	−0.140109	+	1.19386i
$34$	−2.79261	+	6.84486i	−0.478928	+	1.17388i
$35$	−3.76481	+	4.48673i	−0.636369	+	0.758395i
$36$	4.74243	+	3.67550i	0.790406	+	0.612584i
$37$		−	9.63493i		−	1.58397i	−0.610539	−	0.791986i	$-0.709047\pi$
$37$		−	9.63493i		−	1.58397i	0.610539	−	0.791986i	$-0.290953\pi$
$38$	−5.65209	+	2.46047i	−0.916889	+	0.399141i
$39$	5.80017	−	0.335094i	0.928770	−	0.0536580i
$40$	−2.61793	+	2.47701i	−0.413930	+	0.391650i
$41$	−0.744541	−	2.04561i	−0.116278	−	0.319471i	0.867878	−	0.496778i	$-0.165484\pi$
$41$	−0.744541	−	2.04561i	−0.116278	−	0.319471i	−0.984156	+	0.177307i	$0.943261\pi$
$42$	7.40324	+	8.48299i	1.14234	+	1.30895i
$43$	1.01700	−	1.21201i	0.155091	−	0.184830i	−0.682904	−	0.730508i	$-0.739283\pi$
$43$	1.01700	−	1.21201i	0.155091	−	0.184830i	0.837995	+	0.545678i	$0.183728\pi$
$44$	−3.29256	+	7.26193i	−0.496371	+	1.09478i
$45$	1.51737	−	3.50861i	0.226196	−	0.523033i
$46$	3.85932	+	7.31824i	0.569026	+	1.07901i
$47$	1.72046	+	2.05036i	0.250955	+	0.299076i	0.876785	−	0.480883i	$-0.159684\pi$
$47$	1.72046	+	2.05036i	0.250955	+	0.299076i	−0.625830	+	0.779960i	$0.715240\pi$
$48$	3.92691	+	5.70783i	0.566801	+	0.823855i
$49$	7.06409	+	12.2354i	1.00916	+	1.74791i
$50$	−4.04072	−	2.54406i	−0.571444	−	0.359784i
$51$	2.60080	−	8.67248i	0.364185	−	1.21439i
$52$	6.49817	+	1.66718i	0.901133	+	0.231196i
$53$	−3.50418	+	9.62766i	−0.481336	+	1.32246i	0.427012	+	0.904246i	$0.359566\pi$
$53$	−3.50418	+	9.62766i	−0.481336	+	1.32246i	−0.908348	+	0.418215i	$0.862656\pi$
$54$	−6.21307	−	3.92400i	−0.845492	−	0.533988i
$55$	5.00282	+	0.882131i	0.674579	+	0.118947i
$56$	5.16658	+	11.9303i	0.690413	+	1.59425i
$57$	6.60159	−	3.66320i	0.874402	−	0.485203i
$58$	5.62945	+	10.6748i	0.739184	+	1.40168i
$59$	−1.81501	−	1.52297i	−0.236294	−	0.198274i	0.516950	−	0.856016i	$-0.327067\pi$
$59$	−1.81501	−	1.52297i	−0.236294	−	0.198274i	−0.753244	+	0.657742i	$0.771512\pi$
$60$	2.90069	−	3.32711i	0.374477	−	0.429528i
$61$	−0.334820	−	1.89886i	−0.0428693	−	0.243124i	0.955842	−	0.293882i	$-0.0949473\pi$
$61$	−0.334820	−	1.89886i	−0.0428693	−	0.243124i	−0.998711	+	0.0507582i	$0.983836\pi$
$62$	−7.95621	−	1.71943i	−1.01044	−	0.218368i
$63$	−10.0213	−	9.47241i	−1.26257	−	1.19341i
$64$	2.31645	+	7.65729i	0.289557	+	0.957161i
$65$		−	4.27413i		−	0.530141i
$66$	3.16132	−	9.23963i	0.389132	−	1.13732i
$67$	−11.1500	−	4.05827i	−1.36219	−	0.495796i	−0.445459	−	0.895303i	$-0.646959\pi$
$67$	−11.1500	−	4.05827i	−1.36219	−	0.495796i	−0.916730	+	0.399506i	$0.869182\pi$
$68$	5.90500	−	8.62742i	0.716087	−	1.04623i
$69$	−5.56417	−	8.46855i	−0.669848	−	1.01949i
$70$	6.54444	−	5.07734i	0.782210	−	0.606859i
$71$	−1.12853	+	0.410751i	−0.133932	+	0.0487471i	−0.408116	−	0.912930i	$-0.633814\pi$
$71$	−1.12853	+	0.410751i	−0.133932	+	0.0487471i	0.274185	+	0.961677i	$0.411592\pi$
$72$	−5.45749	−	6.49737i	−0.643171	−	0.765723i
$73$	−2.96881	−	2.49113i	−0.347473	−	0.291564i	0.452302	−	0.891865i	$-0.350603\pi$
$73$	−2.96881	−	2.49113i	−0.347473	−	0.291564i	−0.799774	+	0.600301i	$0.795048\pi$
$74$	−2.87826	+	13.3184i	−0.334591	+	1.54823i
$75$	5.22476	+	2.62704i	0.603303	+	0.303344i
$76$	8.54791	−	1.71266i	0.980513	−	0.196455i
$77$	9.16261	−	15.8701i	1.04418	−	1.80857i
$78$	−8.11769	−	1.26950i	−0.919147	−	0.143742i
$79$	−1.71787	+	9.74252i	−0.193275	+	1.09612i	0.721578	+	0.692333i	$0.243417\pi$
$79$	−1.71787	+	9.74252i	−0.193275	+	1.09612i	−0.914853	+	0.403786i	$0.867694\pi$
$80$	4.35873	−	2.64192i	0.487320	−	0.295375i
$81$	8.03511	+	4.05426i	0.892790	+	0.450474i
$82$	0.418091	+	3.05007i	0.0461705	+	0.336824i
$83$	−5.57270	−	3.21740i	−0.611684	−	0.353156i	0.161940	−	0.986801i	$-0.448225\pi$
$83$	−5.57270	−	3.21740i	−0.611684	−	0.353156i	−0.773624	+	0.633645i	$0.781558\pi$
$84$	−7.69937	−	13.9376i	−0.840070	−	1.52072i
$85$	−6.25912	−	2.27814i	−0.678897	−	0.247098i
$86$	−1.76786	+	1.37155i	−0.190634	+	0.147898i
$87$	−8.11626	−	12.3528i	−0.870154	−	1.32436i
$88$	6.72068	−	9.05458i	0.716427	−	0.965222i
$89$	2.58961	+	3.08618i	0.274499	+	0.327135i	0.885627	−	0.464396i	$-0.153729\pi$
$89$	2.58961	+	3.08618i	0.274499	+	0.327135i	−0.611129	+	0.791531i	$0.709284\pi$
$90$	−3.14560	+	4.39667i	−0.331575	+	0.463450i
$91$	−14.4884	−	5.27335i	−1.51880	−	0.552797i
$92$	−3.14856	−	11.2689i	−0.328260	−	1.17487i
$93$	9.90133	+	1.16200i	1.02672	+	0.120494i
$94$	−1.76569	−	3.34818i	−0.182117	−	0.345338i
$95$	−2.41031	−	5.00395i	−0.247293	−	0.513395i
$96$	−3.72306	−	9.06305i	−0.379983	−	0.924993i
$97$	0.753441	+	2.07006i	0.0765003	+	0.210183i	0.972048	−	0.234783i	$-0.0754380\pi$
$97$	0.753441	+	2.07006i	0.0765003	+	0.210183i	−0.895547	+	0.444966i	$0.853216\pi$
$98$	−6.10961	−	19.0232i	−0.617164	−	1.92164i
$99$	−2.76913	+	11.6353i	−0.278308	+	1.16939i
$100$	4.82550	+	4.72375i	0.482550	+	0.472375i
$101$	13.9825	+	5.08923i	1.39131	+	0.506397i	0.925588	−	0.378532i	$-0.123571\pi$
$101$	13.9825	+	5.08923i	1.39131	+	0.506397i	0.465726	+	0.884929i	$0.345793\pi$
$102$	−6.18584	+	11.2110i	−0.612490	+	1.11006i
$103$	4.09574	+	7.09403i	0.403565	+	0.698995i	0.994153	−	0.107978i	$-0.0344376\pi$
$103$	4.09574	+	7.09403i	0.403565	+	0.698995i	−0.590588	+	0.806973i	$0.701104\pi$
$104$	−8.48439	−	4.24576i	−0.831963	−	0.416331i
$105$	−7.38220	+	6.95821i	−0.720429	+	0.679052i
$106$	7.71993	−	12.2615i	0.749826	−	1.19094i
$107$	6.23185	+	10.7939i	0.602456	+	1.04348i	0.992448	+	0.122666i	$0.0391445\pi$
$107$	6.23185	+	10.7939i	0.602456	+	1.04348i	−0.389992	+	0.920818i	$0.627522\pi$
$108$	7.41612	+	7.28019i	0.713616	+	0.700537i
$109$	5.37314	+	14.7626i	0.514654	+	1.41400i	0.876337	+	0.481698i	$0.159980\pi$
$109$	5.37314	+	14.7626i	0.514654	+	1.41400i	−0.361683	+	0.932301i	$0.617798\pi$
$110$	−6.65188	−	2.71387i	−0.634232	−	0.258758i
$111$	1.94515	−	16.5744i	0.184625	−	1.57318i
$112$	−3.57782	−	18.0347i	−0.338072	−	1.70412i
$113$	10.6693	+	6.15990i	1.00368	+	0.579475i	0.909335	−	0.416064i	$-0.136591\pi$
$113$	10.6693	+	6.15990i	1.00368	+	0.579475i	0.0943452	+	0.995540i	$0.469924\pi$
$114$	−10.2197	+	3.09155i	−0.957163	+	0.289550i
$115$	−6.45580	+	3.72726i	−0.602006	+	0.347569i
$116$	−4.59269	−	16.4376i	−0.426420	−	1.52619i
$117$	10.0454	+	0.594524i	0.928694	+	0.0549638i
$118$	2.05393	+	2.64741i	0.189080	+	0.243714i
$119$	−15.4448	+	18.4064i	−1.41582	+	1.68731i
$120$	−5.00354	+	3.73254i	−0.456759	+	0.340733i
$121$	−4.89413			−0.444920
$122$	−0.104428	+	2.72482i	−0.00945443	+	0.246694i
$123$	−0.867815	−	3.66926i	−0.0782482	−	0.330846i
$124$	10.4842	+	4.75355i	0.941512	+	0.426882i
$125$	5.33667	−	9.24338i	0.477326	−	0.826753i
$126$	11.0228	+	16.0874i	0.981989	+	1.43318i
$127$	4.41115	−	3.70140i	0.391426	−	0.328446i	−0.425742	−	0.904845i	$-0.639987\pi$
$127$	4.41115	−	3.70140i	0.391426	−	0.328446i	0.817169	+	0.576399i	$0.195542\pi$
$128$	−0.914561	−	11.2767i	−0.0808365	−	0.996727i
$129$	1.99417	−	1.87964i	0.175577	−	0.165493i
$130$	−1.27682	+	5.90815i	−0.111985	+	0.518179i
$131$	5.01855	−	5.98088i	0.438473	−	0.522552i	−0.500874	−	0.865520i	$-0.666988\pi$
$131$	5.01855	−	5.98088i	0.438473	−	0.522552i	0.939347	+	0.342969i	$0.111432\pi$
$132$	−7.13008	+	11.8276i	−0.620594	+	1.02946i
$133$	−19.9361	+	1.99667i	−1.72868	+	0.173133i
$134$	14.2003	+	8.94061i	1.22672	+	0.772351i
$135$	3.31858	−	5.72933i	0.285618	−	0.493103i
$136$	−10.7398	+	10.1617i	−0.920929	+	0.871358i
$137$	0.789822	+	4.47930i	0.0674791	+	0.382693i	0.999779	+	0.0210075i	$0.00668739\pi$
$137$	0.789822	+	4.47930i	0.0674791	+	0.382693i	−0.932300	+	0.361685i	$0.882201\pi$
$138$	5.16154	+	13.3683i	0.439379	+	1.13798i
$139$	17.0272	−	3.00235i	1.44423	−	0.254656i	0.604040	−	0.796954i	$-0.293557\pi$
$139$	17.0272	−	3.00235i	1.44423	−	0.254656i	0.840186	+	0.542298i	$0.182446\pi$
$140$	−10.5632	+	5.06339i	−0.892749	+	0.427934i
$141$	2.54567	+	3.87446i	0.214384	+	0.326289i
$142$	1.68267	−	0.230654i	0.141207	−	0.0193560i
$143$	2.32216	+	13.1696i	0.194189	+	1.10130i
$144$	5.60292	+	10.6117i	0.466910	+	0.884305i
$145$	−9.41684	+	5.43682i	−0.782026	+	0.451503i
$146$	3.35961	+	4.33037i	0.278043	+	0.358384i
$147$	9.68182	+	22.4739i	0.798543	+	1.85362i
$148$	7.95726	−	17.5502i	0.654082	−	1.44262i
$149$	−14.2507	+	5.18682i	−1.16746	+	0.424921i	−0.851757	−	0.523937i	$-0.824463\pi$
$149$	−14.2507	+	5.18682i	−1.16746	+	0.424921i	−0.315704	+	0.948858i	$0.602241\pi$
$150$	−6.43741	−	5.19217i	−0.525613	−	0.423939i
$151$	−5.48369	−	9.49802i	−0.446256	−	0.772938i	0.551883	−	0.833922i	$-0.313910\pi$
$151$	−5.48369	−	9.49802i	−0.446256	−	0.772938i	−0.998139	+	0.0609836i	$0.980576\pi$
$152$	−12.3274	−	0.186124i	−0.999886	−	0.0150967i
$153$	6.22486	−	14.3937i	0.503250	−	1.16366i
$154$	−17.4064	+	19.2001i	−1.40265	+	1.54719i
$155$	1.27356	−	7.22270i	0.102295	−	0.580141i
$156$	10.8419	+	4.17984i	0.868043	+	0.334655i
$157$	−2.24503	+	12.7322i	−0.179173	+	1.01614i	0.754043	+	0.656825i	$0.228101\pi$
$157$	−2.24503	+	12.7322i	−0.179173	+	1.01614i	−0.933216	+	0.359315i	$0.883010\pi$
$158$	5.28502	−	12.9539i	0.420454	−	1.03056i
$159$	−7.97173	+	15.8545i	−0.632199	+	1.25734i
$160$	−6.81430	+	2.34984i	−0.538718	+	0.185771i
$161$	4.66956	+	26.4824i	0.368013	+	2.08710i
$162$	−9.89581	−	8.00456i	−0.777488	−	0.628898i
$163$	−11.6802	−	6.74355i	−0.914862	−	0.528196i	−0.0328695	−	0.999460i	$-0.510465\pi$
$163$	−11.6802	−	6.74355i	−0.914862	−	0.528196i	−0.881992	+	0.471264i	$0.843798\pi$
$164$	0.333225	−	4.34101i	0.0260205	−	0.338976i
$165$	8.42798	+	2.52748i	0.656117	+	0.196764i
$166$	6.74202	+	6.11217i	0.523282	+	0.474396i
$167$	5.27989	−	4.43035i	0.408570	−	0.342831i	−0.415225	−	0.909719i	$-0.636297\pi$
$167$	5.27989	−	4.43035i	0.408570	−	0.342831i	0.823795	+	0.566888i	$0.191853\pi$
$168$	6.47924	+	21.5661i	0.499884	+	1.66386i
$169$	−1.64313	+	0.598052i	−0.126395	+	0.0460040i
$170$	7.97145	+	5.01887i	0.611382	+	0.384930i
$171$	12.0959	−	4.96884i	0.924996	−	0.379977i
$172$	2.85345	−	1.36778i	0.217573	−	0.104293i
$173$	5.46487	+	15.0146i	0.415487	+	1.14154i	0.954231	+	0.299071i	$0.0966766\pi$
$173$	5.46487	+	15.0146i	0.415487	+	1.14154i	−0.538744	+	0.842469i	$0.681101\pi$
$174$	7.52895	+	19.4998i	0.570768	+	1.47828i
$175$	−9.97579	−	11.8887i	−0.754099	−	0.898700i
$176$	−11.9949	+	10.5085i	−0.904150	+	0.792107i
$177$	−2.81479	−	2.98631i	−0.211573	−	0.224465i
$178$	−2.65769	−	5.03964i	−0.199202	−	0.377737i
$179$	−5.09090	+	8.81769i	−0.380511	+	0.659065i	−0.991135	−	0.132855i	$-0.957585\pi$
$179$	−5.09090	+	8.81769i	−0.380511	+	0.659065i	0.610624	+	0.791921i	$0.290919\pi$
$180$	5.66159	−	5.13784i	0.421990	−	0.382952i
$181$	−1.35904	+	0.239636i	−0.101017	+	0.0178120i	−0.223928	−	0.974606i	$-0.571888\pi$
$181$	−1.35904	+	0.239636i	−0.101017	+	0.0178120i	0.122911	+	0.992418i	$0.460777\pi$
$182$	18.4520	+	11.6175i	1.36776	+	0.861147i
$183$	−0.192621	−	3.33410i	−0.0142390	−	0.246464i
$184$	0.985872	+	16.5176i	0.0726794	+	1.21770i
$185$	−12.0905	−	2.13188i	−0.888912	−	0.156739i
$186$	−13.3395	−	4.56409i	−0.978100	−	0.334655i
$187$	20.5236	+	3.61886i	1.50083	+	0.264637i
$188$	1.44050	+	5.15566i	0.105059	+	0.376015i
$189$	−15.3268	−	18.3180i	−1.11486	−	1.33244i
$190$	1.83694	+	7.63701i	0.133266	+	0.554047i
$191$	−10.4254	+	6.01912i	−0.754357	+	0.435528i	−0.827266	−	0.561811i	$-0.810105\pi$
$191$	−10.4254	+	6.01912i	−0.754357	+	0.435528i	0.0729094	+	0.997339i	$0.476772\pi$
$192$	2.43897	+	13.6401i	0.176018	+	0.984387i
$193$	2.42342	+	6.65830i	0.174442	+	0.479275i	0.995844	−	0.0910742i	$-0.0290300\pi$
$193$	2.42342	+	6.65830i	0.174442	+	0.479275i	−0.821402	+	0.570349i	$0.806808\pi$
$194$	−0.423089	−	3.08653i	−0.0303760	−	0.221600i
$195$	0.862884	−	7.35256i	0.0617924	−	0.526528i
$196$	2.76248	+	28.1210i	0.197320	+	2.00864i
$197$	−4.90137	−	8.48943i	−0.349208	−	0.604847i	0.636901	−	0.770946i	$-0.280216\pi$
$197$	−4.90137	−	8.48943i	−0.349208	−	0.604847i	−0.986109	+	0.166099i	$0.946883\pi$
$198$	7.30359	−	15.2562i	0.519044	−	1.08421i
$199$	−6.44302	+	1.13608i	−0.456734	+	0.0805345i	−0.397282	−	0.917697i	$-0.630046\pi$
$199$	−6.44302	+	1.13608i	−0.456734	+	0.0805345i	−0.0594520	+	0.998231i	$0.518935\pi$
$200$	−5.25916	−	7.97118i	−0.371879	−	0.563648i
$201$	−18.3614	−	9.23223i	−1.29511	−	0.651191i
$202$	−17.8078	−	11.2119i	−1.25295	−	0.788865i
$203$	6.81132	+	38.6289i	0.478061	+	2.71122i
$204$	11.8998	−	13.6491i	0.833153	−	0.955632i
$205$	−2.73170	+	0.481672i	−0.190790	+	0.0336415i
$206$	−3.54233	−	11.0296i	−0.246806	−	0.768470i
$207$	−7.86206	−	15.6913i	−0.546451	−	1.09062i
$208$	10.4596	+	8.40348i	0.725246	+	0.582676i
$209$	10.1454	+	14.1088i	0.701773	+	0.975928i
$210$	12.2831	−	7.41305i	0.847612	−	0.511549i
$211$	−12.2221	−	10.2556i	−0.841406	−	0.706024i	0.116473	−	0.993194i	$-0.462841\pi$
$211$	−12.2221	−	10.2556i	−0.841406	−	0.706024i	−0.957880	+	0.287170i	$0.907286\pi$
$212$	−14.3342	+	14.6429i	−0.984476	+	1.00568i
$213$	−2.02427	+	0.478759i	−0.138701	+	0.0328040i
$214$	−5.38982	−	16.7821i	−0.368441	−	1.14720i
$215$	−1.29588	−	1.54437i	−0.0883782	−	0.105325i
$216$	−8.07649	−	12.2789i	−0.549535	−	0.835470i
$217$	−22.9121	−	13.2283i	−1.55538	−	0.897996i
$218$	−3.01725	−	22.0115i	−0.204354	−	1.49081i
$219$	−4.60416	−	4.88471i	−0.311120	−	0.330078i
$220$	8.38419	+	5.73852i	0.565262	+	0.386891i
$221$		−	17.5342i		−	1.17948i
$222$	−7.64010	+	22.3298i	−0.512770	+	1.49868i
$223$	15.0153	+	12.5994i	1.00550	+	0.843716i	0.987737	−	0.156126i	$-0.0499006\pi$
$223$	15.0153	+	12.5994i	1.00550	+	0.843716i	0.0177645	+	0.999842i	$0.494345\pi$
$224$	−0.441918	+	25.9982i	−0.0295269	+	1.73708i
$225$	8.45751	+	5.57395i	0.563834	+	0.371597i
$226$	−12.9080	−	11.7021i	−0.858627	−	0.778412i
$227$	8.04512	+	13.9345i	0.533973	+	0.924868i	0.999212	+	0.0396835i	$0.0126350\pi$
$227$	8.04512	+	13.9345i	0.533973	+	0.924868i	−0.465239	+	0.885185i	$0.654032\pi$
$228$	15.0503	−	1.22050i	0.996728	−	0.0808293i
$229$	0.622889	−	1.07887i	0.0411616	−	0.0712940i	−0.844711	−	0.535223i	$-0.820227\pi$
$229$	0.622889	−	1.07887i	0.0411616	−	0.0712940i	0.885872	+	0.463929i	$0.153561\pi$
$230$	10.0373	−	3.22364i	0.661841	−	0.212561i
$231$	18.9659	−	25.4507i	1.24786	−	1.67453i
$232$	1.43806	+	24.0937i	0.0944130	+	1.58183i
$233$	2.37884	−	0.865826i	0.155843	−	0.0567222i	−0.262921	−	0.964817i	$-0.584686\pi$
$233$	2.37884	−	0.865826i	0.155843	−	0.0567222i	0.418764	+	0.908095i	$0.362464\pi$
$234$	−13.7081	−	3.82268i	−0.896128	−	0.249897i
$235$	2.95360	−	1.70526i	0.192672	−	0.111239i
$236$	−2.04829	−	4.27310i	−0.133332	−	0.278155i
$237$	−4.92203	+	16.4127i	−0.319720	+	1.06612i
$238$	26.8479	−	20.8293i	1.74029	−	1.35016i
$239$	10.7367	−	6.19881i	0.694496	−	0.400968i	−0.110798	−	0.993843i	$-0.535341\pi$
$239$	10.7367	−	6.19881i	0.694496	−	0.400968i	0.805294	+	0.592875i	$0.202007\pi$
$240$	8.03144	−	3.66478i	0.518427	−	0.236561i
$241$	−3.06758	+	8.42812i	−0.197600	+	0.542903i	−0.998431	−	0.0559876i	$-0.982169\pi$
$241$	−3.06758	+	8.42812i	−0.197600	+	0.542903i	0.800831	+	0.598890i	$0.204392\pi$
$242$	6.76516	+	1.46203i	0.434881	+	0.0939830i
$243$	13.0039	+	8.59649i	0.834198	+	0.551465i
$244$	0.958341	−	3.73533i	0.0613515	−	0.239130i
$245$	16.9167	−	6.15719i	1.08077	−	0.393368i
$246$	0.103456	+	5.33127i	0.00659613	+	0.339909i
$247$	10.2081	−	10.4677i	0.649525	−	0.666041i
$248$	−13.0723	−	9.70282i	−0.830095	−	0.616130i
$249$	−8.93687	−	6.65977i	−0.566351	−	0.422046i
$250$	−10.1382	+	11.1829i	−0.641195	+	0.707269i
$251$	7.20005	−	19.7820i	0.454463	−	1.24863i	−0.475089	−	0.879938i	$-0.657584\pi$
$251$	7.20005	−	19.7820i	0.454463	−	1.24863i	0.929552	−	0.368690i	$-0.120194\pi$
$252$	−10.4310	−	25.5305i	−0.657091	−	1.60827i
$253$	17.8668	−	14.9920i	1.12328	−	0.942541i
$254$	−7.20327	+	3.79869i	−0.451973	+	0.238351i
$255$	−10.3073	−	5.18257i	−0.645469	−	0.324545i
$256$	−2.10451	+	15.8610i	−0.131532	+	0.991312i
$257$	1.60259	−	4.40307i	0.0999665	−	0.274656i	−0.879621	−	0.475676i	$-0.842203\pi$
$257$	1.60259	−	4.40307i	0.0999665	−	0.274656i	0.979587	+	0.201020i	$0.0644257\pi$
$258$	−3.31805	+	2.00250i	−0.206573	+	0.124670i
$259$	−22.1437	+	38.3540i	−1.37594	+	2.38320i
$260$	3.52991	−	7.78541i	0.218915	−	0.482831i
$261$	−11.4681	−	22.8883i	−0.709858	−	1.41675i
$262$	−8.72384	+	6.76818i	−0.538960	+	0.418139i
$263$	−9.72397	−	1.71460i	−0.599606	−	0.105727i	−0.134397	−	0.990928i	$-0.542910\pi$
$263$	−9.72397	−	1.71460i	−0.599606	−	0.105727i	−0.465209	+	0.885201i	$0.654021\pi$
$264$	13.3892	−	14.2193i	0.824048	−	0.875137i
$265$	11.3060	+	6.52754i	0.694524	+	0.400984i
$266$	28.1542	+	3.19556i	1.72624	+	0.195932i
$267$	3.83172	+	5.83179i	0.234497	+	0.356900i
$268$	−16.9583	−	16.6007i	−1.03589	−	1.01405i
$269$	2.10496	−	2.50860i	0.128342	−	0.152952i	−0.698047	−	0.716052i	$-0.745947\pi$
$269$	2.10496	−	2.50860i	0.128342	−	0.152952i	0.826388	+	0.563100i	$0.190392\pi$
$270$	−6.29882	+	6.92830i	−0.383334	+	0.421643i
$271$	3.16897	+	8.70668i	0.192501	+	0.528893i	0.997966	−	0.0637511i	$-0.0203064\pi$
$271$	3.16897	+	8.70668i	0.192501	+	0.528893i	−0.805465	+	0.592644i	$0.798084\pi$
$272$	17.8813	−	10.8382i	1.08421	−	0.657163i
$273$	−23.8590	−	11.9964i	−1.44401	−	0.726057i
$274$	0.246339	−	6.42770i	0.0148819	−	0.388311i
$275$	−4.60383	+	12.6489i	−0.277621	+	0.762758i
$276$	−3.14126	−	20.0209i	−0.189082	−	1.20512i
$277$	16.2030			0.973545			0.486772	−	0.873529i	$-0.338174\pi$
$277$	16.2030			0.973545			0.486772	+	0.873529i	$0.338174\pi$
$278$	−24.4336	−	0.936408i	−1.46543	−	0.0561620i
$279$	16.7981	+	3.99786i	1.00568	+	0.239346i
$280$	16.1141	−	3.84358i	0.963000	−	0.229698i
$281$	3.04645	−	0.537172i	0.181736	−	0.0320450i	−0.0820393	−	0.996629i	$-0.526143\pi$
$281$	3.04645	−	0.537172i	0.181736	−	0.0320450i	0.263775	+	0.964584i	$0.415032\pi$
$282$	−2.36146	−	6.11615i	−0.140623	−	0.364212i
$283$	−9.52638	+	11.3531i	−0.566285	+	0.674872i	−0.970864	−	0.239631i	$-0.922974\pi$
$283$	−9.52638	+	11.3531i	−0.566285	+	0.674872i	0.404579	+	0.914503i	$0.367418\pi$
$284$	−2.39486	−	0.183834i	−0.142109	−	0.0109086i
$285$	−3.13611	−	9.09463i	−0.185767	−	0.538719i
$286$	0.724262	−	18.8981i	0.0428265	−	1.11747i
$287$	−1.73755	+	9.85415i	−0.102565	+	0.581672i
$288$	−4.57489	−	16.3423i	−0.269578	−	0.962979i
$289$	−9.70268	−	3.53149i	−0.570746	−	0.207735i
$290$	14.6411	−	4.70221i	0.859753	−	0.276123i
$291$	0.878188	+	3.71312i	0.0514803	+	0.217667i
$292$	−3.35038	−	6.98950i	−0.196066	−	0.409030i
$293$	−28.1915	+	16.2763i	−1.64696	+	0.950874i	−0.668693	+	0.743539i	$0.733146\pi$
$293$	−28.1915	+	16.2763i	−1.64696	+	0.950874i	−0.978270	+	0.207336i	$0.933521\pi$
$294$	−6.66952	−	33.9581i	−0.388974	−	1.98047i
$295$	−2.31272	+	1.94060i	−0.134652	+	0.112986i
$296$	−16.2421	+	21.8826i	−0.944055	+	1.27190i
$297$	−7.11256	+	19.4564i	−0.412713	+	1.12898i
$298$	21.2482	−	2.91262i	1.23088	−	0.168724i
$299$	−15.0325	−	12.6138i	−0.869354	−	0.729475i
$300$	7.34739	+	9.10020i	0.424202	+	0.525401i
$301$	−6.83390	+	2.48734i	−0.393900	+	0.143368i
$302$	4.74275	+	14.7673i	0.272914	+	0.849762i
$303$	23.0260	+	11.5776i	1.32281	+	0.665115i
$304$	16.9846	+	3.93988i	0.974135	+	0.225967i
$305$	−2.45689			−0.140681
$306$	−12.9045	+	18.0369i	−0.737701	+	1.03110i
$307$	−11.8295	−	9.92615i	−0.675147	−	0.566515i	0.239437	−	0.970912i	$-0.423037\pi$
$307$	−11.8295	−	9.92615i	−0.675147	−	0.566515i	−0.914584	+	0.404397i	$0.867482\pi$
$308$	29.7966	−	21.3405i	1.69782	−	1.21599i
$309$	5.61349	+	13.0303i	0.319341	+	0.741270i
$310$	−3.91809	+	9.60350i	−0.222533	+	0.545442i
$311$		−	9.15487i		−	0.519125i	−0.965726	−	0.259563i	$-0.916422\pi$
$311$		−	9.15487i		−	0.519125i	0.965726	−	0.259563i	$-0.0835784\pi$
$312$	−13.7381	−	9.01661i	−0.777765	−	0.510465i
$313$	3.25714	−	2.73306i	0.184104	−	0.154482i	−0.546078	−	0.837735i	$-0.683880\pi$
$313$	3.25714	−	2.73306i	0.184104	−	0.154482i	0.730182	+	0.683253i	$0.239435\pi$
$314$	6.90683	−	16.9291i	0.389775	−	0.955364i
$315$	−14.1040	+	10.4795i	−0.794668	+	0.590451i
$316$	−11.1752	+	16.3274i	−0.628657	+	0.918490i
$317$	−3.50214	+	9.62206i	−0.196700	+	0.540429i	−0.998354	−	0.0573600i	$-0.981732\pi$
$317$	−3.50214	+	9.62206i	−0.196700	+	0.540429i	0.801654	+	0.597789i	$0.203954\pi$
$318$	15.7556	−	19.5343i	0.883530	−	1.09543i
$319$	26.0617	−	21.8683i	1.45917	−	1.22439i
$320$	10.1214	−	1.21253i	0.565803	−	0.0677826i
$321$	8.54119	+	19.8262i	0.476723	+	1.10659i
$322$	1.45640	−	38.0016i	0.0811618	−	2.11775i
$323$	−9.88808	−	20.5282i	−0.550187	−	1.14222i
$324$	11.2878	+	14.0209i	0.627099	+	0.778940i
$325$	11.1533	+	1.96663i	0.618674	+	0.109089i
$326$	14.1310	+	12.8109i	0.782644	+	0.709528i
$327$	6.26277	+	26.4800i	0.346332	+	1.46435i
$328$	−1.75742	+	5.90105i	−0.0970371	+	0.325831i
$329$	−2.13638	−	12.1160i	−0.117782	−	0.667977i
$330$	−10.8950	−	6.01144i	−0.599749	−	0.330919i
$331$	−2.94228			−0.161722			−0.0808610	−	0.996725i	$-0.525767\pi$
$331$	−2.94228			−0.161722			−0.0808610	+	0.996725i	$0.525767\pi$
$332$	−7.49361	−	10.4629i	−0.411265	−	0.574227i
$333$	6.69226	−	28.1194i	0.366734	−	1.54093i
$334$	−8.62189	+	4.54681i	−0.471769	+	0.248791i
$335$	−7.55968	+	13.0938i	−0.413030	+	0.715388i
$336$	−2.51378	−	31.7464i	−0.137138	−	1.73191i
$337$	−16.3311	−	2.87962i	−0.889613	−	0.156863i	−0.289880	−	0.957063i	$-0.593615\pi$
$337$	−16.3311	−	2.87962i	−0.889613	−	0.156863i	−0.599733	+	0.800200i	$0.704726\pi$
$338$	2.44997	−	0.335832i	0.133261	−	0.0182668i
$339$	17.1102	+	12.7505i	0.929296	+	0.692513i
$340$	−9.51965	−	9.31893i	−0.516276	−	0.505390i
$341$			22.9468i			1.24264i
$342$	−18.2045	+	3.25501i	−0.984388	+	0.176011i
$343$		−	32.7649i		−	1.76914i
$344$	−4.35293	+	1.03827i	−0.234694	+	0.0559800i
$345$	−11.8580	+	5.10847i	−0.638415	+	0.275031i
$346$	−3.06876	−	22.3873i	−0.164977	−	1.20355i
$347$	2.91898	+	0.514694i	0.156699	+	0.0276302i	0.251447	−	0.967871i	$-0.419094\pi$
$347$	2.91898	+	0.514694i	0.156699	+	0.0276302i	−0.0947483	+	0.995501i	$0.530205\pi$
$348$	−4.58205	−	29.2038i	−0.245624	−	1.56549i
$349$	0.118132	−	0.204610i	0.00632344	−	0.0109525i	−0.862846	−	0.505466i	$-0.831321\pi$
$349$	0.118132	−	0.204610i	0.00632344	−	0.0109525i	0.869170	+	0.494514i	$0.164654\pi$
$350$	10.2380	+	19.4138i	0.547246	+	1.03771i
$351$	17.1605	+	3.05073i	0.915957	+	0.162836i
$352$	19.7198	−	10.9426i	1.05107	−	0.583245i
$353$	−8.58988			−0.457193			−0.228597	−	0.973521i	$-0.573414\pi$
$353$	−8.58988			−0.457193			−0.228597	+	0.973521i	$0.573414\pi$
$354$	2.99879	+	4.96885i	0.159384	+	0.264092i
$355$	0.265731	+	1.50703i	0.0141035	+	0.0799850i
$356$	2.16823	+	7.76024i	0.114916	+	0.411292i
$357$	−30.2848	+	28.5454i	−1.60284	+	1.51078i
$358$	9.67128	−	10.6679i	0.511143	−	0.563816i
$359$	−11.2099	−	1.97660i	−0.591635	−	0.104321i	−0.130188	−	0.991489i	$-0.541558\pi$
$359$	−11.2099	−	1.97660i	−0.591635	−	0.104321i	−0.461446	+	0.887168i	$0.652669\pi$
$360$	−9.36087	+	5.41075i	−0.493361	+	0.285171i
$361$	6.04810	−	18.0117i	0.318321	−	0.947983i
$362$	1.95019	+	0.0747404i	0.102500	+	0.00392827i
$363$	−8.41909	−	0.988051i	−0.441888	−	0.0518592i
$364$	−22.0358	−	21.5711i	−1.15499	−	1.13063i
$365$	−3.78292	+	3.17425i	−0.198007	+	0.166148i
$366$	−0.729741	+	4.66627i	−0.0381442	+	0.243910i
$367$	11.5424	−	31.7125i	0.602509	−	1.65538i	−0.143663	−	0.989627i	$-0.545888\pi$
$367$	11.5424	−	31.7125i	0.602509	−	1.65538i	0.746172	−	0.665754i	$-0.231890\pi$
$368$	3.57157	−	23.1269i	0.186181	−	1.20557i
$369$	−0.752085	−	6.48723i	−0.0391520	−	0.337711i
$370$	16.0759	+	6.55873i	0.835745	+	0.340972i
$371$	36.0761	−	30.2715i	1.87298	−	1.57162i
$372$	17.0758	+	10.2939i	0.885338	+	0.533713i
$373$			25.4275i			1.31659i	0.752761	+	0.658294i	$0.228722\pi$
$373$			25.4275i			1.31659i	−0.752761	+	0.658294i	$0.771278\pi$
$374$	−27.2887	−	11.1334i	−1.41107	−	0.575695i
$375$	11.0465	−	14.8235i	0.570437	−	0.765481i
$376$	−0.451048	−	7.55701i	−0.0232610	−	0.389723i
$377$	−21.9274	−	18.3993i	−1.12932	−	0.947611i
$378$	15.7141	+	29.8996i	0.808246	+	1.53787i
$379$	−28.7120			−1.47483			−0.737417	−	0.675437i	$-0.763955\pi$
$379$	−28.7120			−1.47483			−0.737417	+	0.675437i	$0.763955\pi$
$380$	−0.257787	−	11.1054i	−0.0132242	−	0.569695i
$381$	8.33552	−	5.47676i	0.427041	−	0.280583i
$382$	16.2092	−	5.20583i	0.829334	−	0.266353i
$383$	16.5771	−	6.03358i	0.847052	−	0.308302i	0.118214	−	0.992988i	$-0.462283\pi$
$383$	16.5771	−	6.03358i	0.847052	−	0.308302i	0.728838	+	0.684686i	$0.240061\pi$
$384$	0.703325	−	19.5833i	0.0358914	−	0.999356i
$385$	−17.8874	−	15.0093i	−0.911628	−	0.764947i
$386$	−1.36086	−	9.92774i	−0.0692657	−	0.505309i
$387$	3.80993	−	2.83084i	0.193670	−	0.143900i
$388$	−0.337208	+	4.39290i	−0.0171191	+	0.223016i
$389$	22.7352	−	19.0771i	1.15272	−	0.967248i	0.152941	−	0.988235i	$-0.451126\pi$
$389$	22.7352	−	19.0771i	1.15272	−	0.967248i	0.999780	+	0.0209877i	$0.00668107\pi$
$390$	−3.38921	+	9.90569i	−0.171619	+	0.501594i
$391$	−26.4843	+	15.2907i	−1.33937	+	0.773285i
$392$	4.58207	−	39.6969i	0.231429	−	2.00500i
$393$	9.84059	−	9.27540i	0.496392	−	0.467882i
$394$	4.23911	+	13.1992i	0.213564	+	0.664964i
$395$	11.8454	+	4.31138i	0.596008	+	0.216929i
$396$	−14.6533	+	18.9069i	−0.736355	+	0.950106i
$397$	0.867141	−	4.91780i	0.0435206	−	0.246817i	−0.955285	−	0.295688i	$-0.904451\pi$
$397$	0.867141	−	4.91780i	0.0435206	−	0.246817i	0.998805	+	0.0488707i	$0.0155622\pi$
$398$	9.24559	+	0.354333i	0.463439	+	0.0177611i
$399$	−34.6981	−	0.590050i	−1.73708	−	0.0295394i
$400$	4.88850	+	12.5897i	0.244425	+	0.629483i
$401$	8.95854	−	10.6764i	0.447368	−	0.533153i	−0.494481	−	0.869188i	$-0.664642\pi$
$401$	8.95854	−	10.6764i	0.447368	−	0.533153i	0.941849	+	0.336036i	$0.109086\pi$
$402$	22.6231	+	18.2469i	1.12834	+	0.910072i
$403$	19.0133	−	3.35256i	0.947122	−	0.167003i
$404$	21.2664	+	20.8180i	1.05804	+	1.03573i
$405$	6.86544	−	9.18588i	0.341146	−	0.456450i
$406$	2.12439	−	55.4316i	0.105432	−	2.75102i
$407$	38.4120			1.90401
$408$	−20.5266	+	15.3124i	−1.01622	+	0.758076i
$409$	−8.73869	+	24.0094i	−0.432101	+	1.18719i	0.512420	+	0.858735i	$0.328749\pi$
$409$	−8.73869	+	24.0094i	−0.432101	+	1.18719i	−0.944521	+	0.328452i	$0.893473\pi$
$410$	3.91993	+	0.150230i	0.193591	+	0.00741931i
$411$	0.454383	+	7.86495i	0.0224131	+	0.387950i
$412$	1.60168	+	16.3045i	0.0789089	+	0.803264i
$413$	3.72484	+	10.2339i	0.183287	+	0.503578i
$414$	6.18025	+	24.0388i	0.303743	+	1.18144i
$415$	−5.27045	+	6.28108i	−0.258716	+	0.308326i
$416$	−11.9480	−	14.7408i	−0.585799	−	0.722726i
$417$	29.8970	−	1.72725i	1.46406	−	0.0845836i
$418$	−9.80928	−	22.5334i	−0.479787	−	1.10215i
$419$	−10.9977	−	6.34953i	−0.537273	−	0.310195i	0.206700	−	0.978404i	$-0.433728\pi$
$419$	−10.9977	−	6.34953i	−0.537273	−	0.310195i	−0.743973	+	0.668210i	$0.767061\pi$
$420$	−19.1934	+	6.57773i	−0.936544	+	0.320960i
$421$	7.95289	+	1.40231i	0.387600	+	0.0683444i	0.364053	−	0.931378i	$-0.381393\pi$
$421$	7.95289	+	1.40231i	0.387600	+	0.0683444i	0.0235474	+	0.999723i	$0.492504\pi$
$422$	13.8310	+	17.8275i	0.673283	+	0.867827i
$423$	3.59699	+	7.17896i	0.174891	+	0.349053i
$424$	24.1885	−	15.9589i	1.17470	−	0.775032i
$425$	8.82474	−	15.2849i	0.428063	−	0.741427i
$426$	2.94117	−	0.0570751i	0.142500	−	0.00276530i
$427$	−3.03127	+	8.32833i	−0.146693	+	0.403036i
$428$	2.43702	+	24.8080i	0.117798	+	1.19914i
$429$	1.33593	+	23.1238i	0.0644995	+	1.11643i
$430$	1.32994	+	2.52190i	0.0641356	+	0.121617i
$431$	−0.118084	+	0.0990843i	−0.00568791	+	0.00477272i	−0.645627	−	0.763653i	$-0.723404\pi$
$431$	−0.118084	+	0.0990843i	−0.00568791	+	0.00477272i	0.639939	+	0.768426i	$0.278960\pi$
$432$	7.49606	+	19.3858i	0.360654	+	0.932700i
$433$	−2.15615	+	5.92397i	−0.103618	+	0.284688i	−0.980658	−	0.195730i	$-0.937293\pi$
$433$	−2.15615	+	5.92397i	−0.103618	+	0.284688i	0.877040	+	0.480417i	$0.159515\pi$
$434$	27.7197	+	25.1301i	1.33059	+	1.20628i
$435$	−17.2969	+	7.45153i	−0.829322	+	0.357274i
$436$	−2.40479	+	31.3279i	−0.115169	+	1.50033i
$437$	−24.7127	−	6.29032i	−1.18217	−	0.300907i
$438$	4.90512	+	8.12755i	0.234376	+	0.388349i
$439$	−31.0375	+	11.2967i	−1.48134	+	0.539163i	−0.951153	−	0.308720i	$-0.900099\pi$
$439$	−31.0375	+	11.2967i	−1.48134	+	0.539163i	−0.530184	+	0.847883i	$0.677877\pi$
$440$	−9.87520	−	10.4370i	−0.470782	−	0.497564i
$441$	12.1180	+	40.6153i	0.577045	+	1.93406i
$442$	−5.23804	+	24.2376i	−0.249148	+	1.15286i
$443$	−6.75152	+	18.5496i	−0.320774	+	0.881320i	0.669577	+	0.742742i	$0.266475\pi$
$443$	−6.75152	+	18.5496i	−0.320774	+	0.881320i	−0.990352	+	0.138578i	$0.955747\pi$
$444$	17.2316	−	28.5842i	0.817773	−	1.35655i
$445$	4.44573	−	2.56674i	0.210748	−	0.121675i
$446$	−16.9919	−	21.9017i	−0.804590	−	1.03708i
$447$	−25.5618	+	6.04560i	−1.20903	+	0.285947i
$448$	8.37736	−	35.8053i	0.395793	−	1.69164i
$449$	18.7648	−	10.8339i	0.885565	−	0.511281i	0.0130760	−	0.999915i	$-0.495838\pi$
$449$	18.7648	−	10.8339i	0.885565	−	0.511281i	0.872489	+	0.488633i	$0.162504\pi$
$450$	−10.0257	−	10.2314i	−0.472616	−	0.482314i
$451$	8.15532	−	2.96829i	0.384019	−	0.139771i
$452$	14.3469	+	20.0319i	0.674824	+	0.942220i
$453$	−7.51577	−	17.4460i	−0.353122	−	0.819685i
$454$	−6.95808	−	21.6651i	−0.326559	−	1.01679i
$455$	−9.82311	+	17.0141i	−0.460515	+	0.797635i
$456$	−21.1686	−	2.80890i	−0.991311	−	0.131539i
$457$	−16.6559	−	28.8489i	−0.779130	−	1.34949i	−0.932444	−	0.361315i	$-0.882328\pi$
$457$	−16.6559	−	28.8489i	−0.779130	−	1.34949i	0.153314	−	0.988178i	$-0.451005\pi$
$458$	−1.18331	+	1.30525i	−0.0552927	+	0.0609905i
$459$	13.6142	−	23.5040i	0.635455	−	1.09707i
$460$	−14.8376	+	1.45758i	−0.691807	+	0.0679599i
$461$	−10.8949	−	9.14193i	−0.507427	−	0.425782i	0.352795	−	0.935700i	$-0.385231\pi$
$461$	−10.8949	−	9.14193i	−0.507427	−	0.425782i	−0.860223	+	0.509918i	$0.829676\pi$
$462$	−33.8195	+	29.5148i	−1.57343	+	1.37315i
$463$		−	1.83470i		−	0.0852655i	−0.999091	−	0.0426328i	$-0.986425\pi$
$463$		−	1.83470i		−	0.0852655i	0.999091	−	0.0426328i	$-0.0135745\pi$
$464$	5.20972	−	33.7343i	0.241855	−	1.56608i
$465$	3.64898	−	12.1677i	0.169218	−	0.564264i
$466$	−3.54692	+	0.486198i	−0.164308	+	0.0225227i
$467$	7.98281	+	4.60888i	0.369400	+	0.213273i	0.673196	−	0.739464i	$-0.264921\pi$
$467$	7.98281	+	4.60888i	0.369400	+	0.213273i	−0.303796	+	0.952737i	$0.598254\pi$
$468$	17.8068	+	9.37916i	0.823120	+	0.433552i
$469$	35.0580	+	41.7805i	1.61883	+	1.92925i
$470$	−4.59219	+	1.47485i	−0.211822	+	0.0680299i
$471$	−6.43244	+	21.4493i	−0.296391	+	0.988330i
$472$	1.55484	+	6.51860i	0.0715672	+	0.300043i
$473$	4.83197	+	4.05451i	0.222174	+	0.186426i
$474$	11.7067	−	21.2170i	0.537708	−	0.974527i
$475$	14.1668	−	3.98725i	0.650017	−	0.182948i
$476$	−43.3343	+	20.7721i	−1.98623	+	0.952086i
$477$	−16.9141	+	25.6642i	−0.774444	+	1.17508i
$478$	−16.6931	+	5.36125i	−0.763524	+	0.245218i
$479$	25.7614	−	4.54243i	1.17707	−	0.207549i	0.449306	−	0.893378i	$-0.351671\pi$
$479$	25.7614	−	4.54243i	1.17707	−	0.207549i	0.727762	+	0.685829i	$0.240560\pi$
$480$	−12.1967	+	2.66659i	−0.556699	+	0.121712i
$481$	−5.61206	−	31.8276i	−0.255888	−	1.45121i
$482$	6.75808	−	10.7338i	0.307822	−	0.488912i
$483$	2.68639	+	46.4989i	0.122235	+	2.11577i
$484$	−8.91474	−	4.04194i	−0.405215	−	0.183725i
$485$	2.76435	−	0.487430i	0.125523	−	0.0221331i
$486$	−15.4072	−	15.7676i	−0.698885	−	0.715234i
$487$	−0.422073	−	0.731052i	−0.0191260	−	0.0331271i	0.856304	−	0.516472i	$-0.172755\pi$
$487$	−0.422073	−	0.731052i	−0.0191260	−	0.0331271i	−0.875430	+	0.483345i	$0.839422\pi$
$488$	−2.44058	+	4.87706i	−0.110480	+	0.220774i
$489$	−18.7313	−	13.9586i	−0.847060	−	0.631230i
$490$	−25.2234	+	3.45752i	−1.13948	+	0.156195i
$491$	0.272013	+	0.747349i	0.0122758	+	0.0337274i	0.945679	−	0.325101i	$-0.105398\pi$
$491$	0.272013	+	0.747349i	0.0122758	+	0.0337274i	−0.933403	+	0.358829i	$0.883176\pi$
$492$	1.44961	−	7.40033i	0.0653536	−	0.333633i
$493$	−38.6317	+	22.3040i	−1.73988	+	1.00452i
$494$	−17.2377	+	11.4200i	−0.775560	+	0.513809i
$495$	13.9879	+	6.04936i	0.628711	+	0.271899i
$496$	15.1714	+	17.3174i	0.681215	+	0.777572i
$497$	5.43637	+	0.958579i	0.243855	+	0.0429981i
$498$	10.3640	+	11.8755i	0.464421	+	0.532156i
$499$	−33.8912	−	5.97593i	−1.51718	−	0.267520i	−0.647855	−	0.761763i	$-0.724334\pi$
$499$	−33.8912	−	5.97593i	−1.51718	−	0.267520i	−0.869323	+	0.494244i	$0.835445\pi$
$500$	17.3547	−	12.4296i	0.776127	−	0.555867i
$501$	9.97712	−	6.55536i	0.445745	−	0.292872i
$502$	−15.8622	+	25.1938i	−0.707963	+	1.12445i
$503$	10.3031	−	1.81672i	0.459394	−	0.0810036i	0.0608384	−	0.998148i	$-0.480623\pi$
$503$	10.3031	−	1.81672i	0.459394	−	0.0810036i	0.398556	+	0.917144i	$0.369511\pi$
$504$	6.79201	+	38.4070i	0.302540	+	1.71078i
$505$	9.48014	−	16.4201i	0.421861	−	0.730684i
$506$	−29.1759	+	15.3861i	−1.29703	+	0.683997i
$507$	−2.94733	+	0.697072i	−0.130896	+	0.0309580i
$508$	11.0919	−	3.09910i	0.492123	−	0.137500i
$509$	9.45636	+	11.2696i	0.419146	+	0.499518i	0.933758	−	0.357905i	$-0.116509\pi$
$509$	9.45636	+	11.2696i	0.419146	+	0.499518i	−0.514613	+	0.857423i	$0.672064\pi$
$510$	12.6996	+	10.2430i	0.562348	+	0.453568i
$511$	6.09272	+	16.7396i	0.269526	+	0.740516i
$512$	7.64725	−	21.2960i	0.337964	−	0.941159i
$513$	21.8110	−	6.10564i	0.962981	−	0.269571i
$514$	−3.53059	+	5.60763i	−0.155728	+	0.247342i
$515$	9.80828	−	3.56992i	0.432204	−	0.157309i
$516$	5.18476	−	1.77686i	0.228247	−	0.0782217i
$517$	−8.17427	+	6.85903i	−0.359504	+	0.301660i
$518$	42.0668	−	46.4017i	1.84831	−	2.03878i
$519$	6.36969	+	26.9321i	0.279598	+	1.18219i
$520$	−7.20515	+	9.70730i	−0.315967	+	0.425693i
$521$	18.4268	+	10.6387i	0.807292	+	0.466090i	0.846015	−	0.533160i	$-0.178996\pi$
$521$	18.4268	+	10.6387i	0.807292	+	0.466090i	−0.0387225	+	0.999250i	$0.512329\pi$
$522$	9.01490	+	35.0645i	0.394572	+	1.53473i
$523$	0.166394	+	0.943668i	0.00727591	+	0.0412637i	0.988230	−	0.152978i	$-0.0488864\pi$
$523$	0.166394	+	0.943668i	0.00727591	+	0.0412637i	−0.980954	+	0.194242i	$0.937775\pi$
$524$	14.0808	−	6.74958i	0.615125	−	0.294857i
$525$	−14.7607	−	22.4654i	−0.644208	−	0.980471i
$526$	12.9293	+	5.27496i	0.563743	+	0.229999i
$527$	5.22464	−	29.6304i	0.227589	−	1.29072i
$528$	−22.7557	+	15.6556i	−0.990314	+	0.681322i
$529$	−1.94928	+	11.0549i	−0.0847514	+	0.480649i
$530$	−13.6784	−	12.4005i	−0.594150	−	0.538644i
$531$	−4.23924	−	5.70545i	−0.183968	−	0.247595i
$532$	−37.9630	−	12.8278i	−1.64590	−	0.556155i
$533$	−3.65099	−	6.32370i	−0.158142	−	0.273910i
$534$	−3.55445	−	9.20596i	−0.153816	−	0.398381i
$535$	14.9237	−	5.43180i	0.645210	−	0.234837i
$536$	18.4823	+	28.0132i	0.798315	+	1.20999i
$537$	−10.5377	+	14.1408i	−0.454737	+	0.610221i
$538$	−3.65910	+	2.83882i	−0.157755	+	0.122390i
$539$	−48.7792	+	28.1627i	−2.10107	+	1.21305i
$540$	10.7766	−	7.69535i	0.463750	−	0.331155i
$541$	−0.753655	−	4.27419i	−0.0324022	−	0.183762i	0.964311	−	0.264772i	$-0.0852966\pi$
$541$	−0.753655	−	4.27419i	−0.0324022	−	0.183762i	−0.996713	+	0.0810098i	$0.974185\pi$
$542$	−1.77951	−	12.9819i	−0.0764366	−	0.557622i
$543$	−2.38626	+	0.137862i	−0.102404	+	0.00591622i
$544$	−27.9550	+	9.63997i	−1.19856	+	0.413310i
$545$	19.7139	−	3.47609i	0.844451	−	0.148900i
$546$	29.3966	+	23.7101i	1.25806	+	1.01470i
$547$	5.89298	+	33.4208i	0.251966	+	1.42897i	0.803743	+	0.594977i	$0.202839\pi$
$547$	5.89298	+	33.4208i	0.251966	+	1.42897i	−0.551777	+	0.833992i	$0.686050\pi$
$548$	−2.26067	+	8.81143i	−0.0965712	+	0.376406i
$549$	0.341749	−	5.77435i	0.0145855	−	0.246443i
$550$	10.1425	−	16.1093i	0.432478	−	0.686903i
$551$	−36.0475	−	9.17546i	−1.53567	−	0.390888i
$552$	−1.63872	+	28.6134i	−0.0697486	+	1.21787i
$553$	29.2293	−	34.8341i	1.24296	−	1.48130i
$554$	−22.3975	−	4.84036i	−0.951577	−	0.205647i
$555$	−20.3682	−	6.10826i	−0.864584	−	0.259281i
$556$	33.4949	+	8.59350i	1.42050	+	0.364446i
$557$	−14.4131	+	12.0941i	−0.610705	+	0.512442i	−0.894866	−	0.446334i	$-0.852729\pi$
$557$	−14.4131	+	12.0941i	−0.610705	+	0.512442i	0.284162	+	0.958776i	$0.408285\pi$
$558$	−22.0258	−	10.5444i	−0.932426	−	0.446380i
$559$	2.65354	−	4.59607i	0.112233	−	0.194393i
$560$	−23.4227	+	0.499201i	−0.989790	+	0.0210951i
$561$	34.5750	+	10.3687i	1.45976	+	0.437768i
$562$	−4.37159	−	0.167539i	−0.184404	−	0.00706722i
$563$	32.4075			1.36581			0.682907	−	0.730505i	$-0.260715\pi$
$563$	32.4075			1.36581			0.682907	+	0.730505i	$0.260715\pi$
$564$	1.43717	+	9.15982i	0.0605156	+	0.385698i
$565$	10.0906	−	12.0255i	0.424514	−	0.505916i
$566$	16.5599	−	12.8476i	0.696063	−	0.540024i
$567$	−22.6677	−	34.6057i	−0.951955	−	1.45330i
$568$	3.25551	+	0.969537i	0.136598	+	0.0406809i
$569$	−27.6036	+	15.9369i	−1.15720	+	0.668111i	−0.950632	−	0.310320i	$-0.899564\pi$
$569$	−27.6036	+	15.9369i	−1.15720	+	0.668111i	−0.206571	+	0.978432i	$0.566230\pi$
$570$	1.61819	+	13.5084i	0.0677785	+	0.565804i
$571$	−19.1356	−	11.0479i	−0.800800	−	0.462342i	0.0429511	−	0.999077i	$-0.486324\pi$
$571$	−19.1356	−	11.0479i	−0.800800	−	0.462342i	−0.843751	+	0.536735i	$0.819657\pi$
$572$	−6.64662	+	25.9065i	−0.277909	+	1.08321i
$573$	−19.1494	+	8.24962i	−0.799979	+	0.344633i
$574$	5.34558	−	13.1024i	0.223120	−	0.546882i
$575$	−6.75578	−	18.5613i	−0.281735	−	0.774062i
$576$	1.44191	+	23.9566i	0.0600795	+	0.998194i
$577$	−2.71774	−	4.70726i	−0.113141	−	0.195966i	0.803894	−	0.594772i	$-0.202758\pi$
$577$	−2.71774	−	4.70726i	−0.113141	−	0.195966i	−0.917035	+	0.398806i	$0.869425\pi$
$578$	12.3571	+	7.78008i	0.513986	+	0.323609i
$579$	2.82467	+	11.9432i	0.117389	+	0.496341i
$580$	−21.6431	+	2.12612i	−0.898680	+	0.0882822i
$581$	14.7889	+	25.6152i	0.613548	+	1.06270i
$582$	−0.104693	−	5.39500i	−0.00433966	−	0.223630i
$583$	−38.3830	−	13.9703i	−1.58966	−	0.578590i
$584$	2.54325	+	10.6625i	0.105240	+	0.441216i
$585$	2.96874	−	12.4740i	0.122742	−	0.515736i
$586$	43.8314	−	14.0771i	1.81066	−	0.581521i
$587$	6.52162	+	17.9180i	0.269176	+	0.739555i	0.998467	+	0.0553514i	$0.0176279\pi$
$587$	6.52162	+	17.9180i	0.269176	+	0.739555i	−0.729291	+	0.684204i	$0.760150\pi$
$588$	−0.925073	+	48.9327i	−0.0381494	+	2.01795i
$589$	20.3693	−	14.6472i	0.839302	−	0.603528i
$590$	3.77660	−	1.99162i	0.155480	−	0.0819936i
$591$	−6.71767	−	15.5934i	−0.276328	−	0.641427i
$592$	28.9886	−	25.3963i	1.19142	−	1.04378i
$593$	8.06213	+	2.93438i	0.331072	+	0.120500i	0.502208	−	0.864747i	$-0.332521\pi$
$593$	8.06213	+	2.93438i	0.331072	+	0.120500i	−0.171135	+	0.985248i	$0.554744\pi$
$594$	15.6440	−	24.7699i	0.641880	−	1.01632i
$595$	19.6801	+	23.4538i	0.806804	+	0.961511i
$596$	−30.2415	−	2.32140i	−1.23874	−	0.0950882i
$597$	−11.3129	+	0.653583i	−0.463008	+	0.0267494i
$598$	17.0114	+	21.9268i	0.695646	+	0.896652i
$599$	21.6289	+	7.87228i	0.883733	+	0.321652i	0.743715	−	0.668497i	$-0.233062\pi$
$599$	21.6289	+	7.87228i	0.883733	+	0.321652i	0.140018	+	0.990149i	$0.455284\pi$
$600$	−7.43778	−	14.7741i	−0.303646	−	0.603151i
$601$	−0.597270	−	0.344834i	−0.0243631	−	0.0140661i	0.487769	−	0.872973i	$-0.337811\pi$
$601$	−0.597270	−	0.344834i	−0.0243631	−	0.0140661i	−0.512132	+	0.858907i	$0.671144\pi$
$602$	10.1896	−	1.39675i	0.415296	−	0.0569271i
$603$	−29.7223	−	19.5886i	−1.21039	−	0.797709i
$604$	−2.14445	−	21.8297i	−0.0872563	−	0.888237i
$605$	−1.08290	+	6.14145i	−0.0440263	+	0.249686i
$606$	−28.3702	−	22.8823i	−1.15246	−	0.929530i
$607$	9.12448	−	15.8041i	0.370351	−	0.641467i	−0.619268	−	0.785179i	$-0.712571\pi$
$607$	9.12448	−	15.8041i	0.370351	−	0.641467i	0.989620	+	0.143712i	$0.0459040\pi$
$608$	−22.3009	−	10.5200i	−0.904421	−	0.426640i
$609$	3.91854	+	67.8263i	0.158787	+	2.74846i
$610$	3.39617	+	0.733952i	0.137507	+	0.0297169i
$611$	6.87756	+	5.77096i	0.278236	+	0.233468i
$612$	23.2261	−	21.0775i	0.938861	−	0.852007i
$613$	46.0101	−	16.7463i	1.85833	−	0.676376i	0.878110	−	0.478458i	$-0.158804\pi$
$613$	46.0101	−	16.7463i	1.85833	−	0.676376i	0.980219	−	0.197918i	$-0.0634181\pi$
$614$	13.3867	+	17.2548i	0.540244	+	0.696347i
$615$	−4.79644	+	0.277105i	−0.193411	+	0.0111740i
$616$	−47.5630	+	20.5978i	−1.91637	+	0.829910i
$617$	12.9064	+	4.69755i	0.519593	+	0.189116i	0.588485	−	0.808508i	$-0.299724\pi$
$617$	12.9064	+	4.69755i	0.519593	+	0.189116i	−0.0688928	+	0.997624i	$0.521947\pi$
$618$	−3.86697	−	19.6888i	−0.155552	−	0.791999i
$619$		−	28.7858i		−	1.15700i	−0.815683	−	0.578499i	$-0.803638\pi$
$619$		−	28.7858i		−	1.15700i	0.815683	−	0.578499i	$-0.196362\pi$
$620$	8.28486	−	12.1045i	0.332728	−	0.486128i
$621$	−10.3568	−	28.5801i	−0.415605	−	1.14688i
$622$	−2.73485	+	12.6548i	−0.109658	+	0.507411i
$623$	−3.21565	−	18.2369i	−0.128832	−	0.730644i
$624$	16.2966	+	16.5677i	0.652387	+	0.663238i
$625$	2.51387	+	2.10939i	0.100555	+	0.0843754i
$626$	−5.31880	+	2.80491i	−0.212582	+	0.112107i
$627$	14.6042	+	26.3188i	0.583237	+	1.05107i
$628$	−14.6046	+	21.3378i	−0.582786	+	0.851472i
$629$	−49.6002	−	8.74585i	−1.97769	−	0.348720i
$630$	22.6265	−	10.2725i	0.901460	−	0.409266i
$631$	3.46795	−	9.52812i	0.138057	−	0.379308i	−0.851327	−	0.524636i	$-0.824201\pi$
$631$	3.46795	−	9.52812i	0.138057	−	0.379308i	0.989384	+	0.145328i	$0.0464236\pi$
$632$	20.3251	−	19.2310i	0.808489	−	0.764970i
$633$	−18.9546	−	20.1096i	−0.753378	−	0.799284i
$634$	7.71544	−	12.2544i	0.306419	−	0.486684i
$635$	−3.66870	−	6.35438i	−0.145588	−	0.252166i
$636$	−27.6145	+	22.2956i	−1.09499	+	0.884078i
$637$	30.4619	+	36.3031i	1.20694	+	1.43838i
$638$	−42.5579	+	22.4432i	−1.68488	+	0.888534i
$639$	−3.57889	+	0.414912i	−0.141579	+	0.0164137i
$640$	−14.3530	−	1.34750i	−0.567354	−	0.0532646i
$641$	−27.6225	+	32.9192i	−1.09102	+	1.30023i	−0.140328	+	0.990105i	$0.544816\pi$
$641$	−27.6225	+	32.9192i	−1.09102	+	1.30023i	−0.950695	+	0.310126i	$0.899629\pi$
$642$	−5.88377	−	29.9574i	−0.232214	−	1.18232i
$643$	9.65197	+	26.5186i	0.380637	+	1.04579i	0.971089	+	0.238718i	$0.0767272\pi$
$643$	9.65197	+	26.5186i	0.380637	+	1.04579i	−0.590452	+	0.807073i	$0.701051\pi$
$644$	−13.3655	+	52.0946i	−0.526674	+	2.05282i
$645$	−1.91744	−	2.91831i	−0.0754993	−	0.114908i
$646$	7.53587	+	31.3301i	0.296495	+	1.23267i
$647$		−	21.8448i		−	0.858807i	−0.903113	−	0.429403i	$-0.858724\pi$
$647$		−	21.8448i		−	0.858807i	0.903113	−	0.429403i	$-0.141276\pi$
$648$	−11.4146	−	22.7532i	−0.448409	−	0.893829i
$649$	6.07170	−	7.23598i	0.238335	−	0.284037i
$650$	−14.8298	−	6.05033i	−0.581671	−	0.237313i
$651$	−36.7438	−	27.3815i	−1.44010	−	1.07317i
$652$	−15.7063	−	21.9299i	−0.615107	−	0.858840i
$653$	−0.723447			−0.0283107			−0.0141553	−	0.999900i	$-0.504506\pi$
$653$	−0.723447			−0.0283107			−0.0141553	+	0.999900i	$0.504506\pi$
$654$	−0.746614	−	38.4743i	−0.0291949	−	1.50446i
$655$	−6.39474	−	7.62096i	−0.249863	−	0.297776i
$656$	4.19211	−	7.63203i	0.163675	−	0.297981i
$657$	−6.93413	−	9.33240i	−0.270526	−	0.364092i
$658$	−0.666319	+	17.3862i	−0.0259758	+	0.677784i
$659$	4.88643	+	1.77851i	0.190348	+	0.0692811i	0.435435	−	0.900220i	$-0.356594\pi$
$659$	4.88643	+	1.77851i	0.190348	+	0.0692811i	−0.245087	+	0.969501i	$0.578817\pi$
$660$	13.2643	+	11.5643i	0.516314	+	0.450140i
$661$	26.2044	+	31.2292i	1.01923	+	1.21467i	0.976485	+	0.215588i	$0.0691667\pi$
$661$	26.2044	+	31.2292i	1.01923	+	1.21467i	0.0427476	+	0.999086i	$0.486389\pi$
$662$	4.06711	+	0.878952i	0.158073	+	0.0341614i
$663$	3.53990	−	30.1632i	0.137478	−	1.17144i
$664$	7.23282	+	16.7015i	0.280688	+	0.648144i
$665$	−1.90565	+	25.4589i	−0.0738978	+	0.987253i
$666$	−17.6509	+	36.8703i	−0.683958	+	1.42870i
$667$	−8.66912	+	49.1650i	−0.335670	+	1.90368i
$668$	13.2763	−	3.70943i	0.513677	−	0.143522i
$669$	23.2864	+	24.7054i	0.900306	+	0.955165i
$670$	14.3613	−	15.8412i	0.554825	−	0.611999i
$671$	7.57027	−	1.33484i	0.292247	−	0.0515310i
$672$	−6.00886	+	44.6341i	−0.231797	+	1.72180i
$673$		−	31.7274i		−	1.22300i	−0.791244	−	0.611500i	$-0.790566\pi$
$673$		−	31.7274i		−	1.22300i	0.791244	−	0.611500i	$-0.209434\pi$
$674$	21.7143	+	8.85913i	0.836404	+	0.341241i
$675$	13.4237	+	11.2960i	0.516678	+	0.434784i
$676$	−3.48692	−	0.267663i	−0.134112	−	0.0102947i
$677$	−1.46143	−	0.843760i	−0.0561675	−	0.0324283i	0.471653	−	0.881784i	$-0.343657\pi$
$677$	−1.46143	−	0.843760i	−0.0561675	−	0.0324283i	−0.527821	+	0.849356i	$0.676991\pi$
$678$	−19.8424	−	22.7364i	−0.762044	−	0.873187i
$679$	1.75832	−	9.97195i	0.0674782	−	0.382688i
$680$	10.3752	+	15.7254i	0.397870	+	0.603041i
$681$	11.0264	+	25.5950i	0.422532	+	0.980803i
$682$	6.85494	−	31.7194i	0.262489	−	1.21460i
$683$	39.2471			1.50175			0.750874	−	0.660445i	$-0.229632\pi$
$683$	39.2471			1.50175			0.750874	+	0.660445i	$0.229632\pi$
$684$	26.1365	+	0.938872i	0.999355	+	0.0358987i
$685$	5.79567			0.221441
$686$	−9.78794	+	45.2910i	−0.373705	+	1.72922i
$687$	1.28933	−	1.73018i	0.0491910	−	0.0660104i
$688$	6.32723	−	0.134850i	0.241223	−	0.00514112i
$689$	−5.96772	+	33.8446i	−0.227352	+	1.28938i
$690$	17.9174	−	3.51907i	0.682106	−	0.133969i
$691$	38.7980	+	22.4001i	1.47595	+	0.852138i	0.999632	−	0.0271368i	$-0.00863897\pi$
$691$	38.7980	+	22.4001i	1.47595	+	0.852138i	0.476315	+	0.879275i	$0.341972\pi$
$692$	−2.44584	+	31.8627i	−0.0929770	+	1.21124i
$693$	37.7641	−	39.9525i	1.43454	−	1.51767i
$694$	−3.88115	−	1.58345i	−0.147326	−	0.0601071i
$695$		−	22.0311i		−	0.835687i
$696$	−2.39034	+	41.7373i	−0.0906057	+	1.58205i
$697$	−11.2065	+	1.97601i	−0.424478	+	0.0748469i
$698$	−0.224417	+	0.247543i	−0.00849431	+	0.00936964i
$699$	4.26698	−	1.00918i	0.161392	−	0.0381707i
$700$	−8.35251	−	29.8942i	−0.315695	−	1.12990i
$701$	0.441923	−	2.50627i	0.0166912	−	0.0946605i	−0.975324	−	0.220778i	$-0.929140\pi$
$701$	0.441923	−	2.50627i	0.0166912	−	0.0946605i	0.992015	+	0.126117i	$0.0402516\pi$
$702$	−22.8096	−	9.34342i	−0.860892	−	0.352644i
$703$	−24.5189	−	34.0974i	−0.924746	−	1.28601i
$704$	−30.5276	+	9.23510i	−1.15055	+	0.348061i
$705$	5.42519	−	2.33718i	0.204324	−	0.0880234i
$706$	11.8738	+	2.56607i	0.446877	+	0.0965754i
$707$	−43.9642	−	52.3944i	−1.65344	−	1.97050i
$708$	−2.66088	−	7.76429i	−0.100002	−	0.291800i
$709$	−45.2530	−	16.4708i	−1.69951	−	0.618572i	−0.703743	−	0.710455i	$-0.748489\pi$
$709$	−45.2530	−	16.4708i	−1.69951	−	0.618572i	−0.995770	+	0.0918828i	$0.970711\pi$
$710$	0.0828791	−	2.16256i	0.00311040	−	0.0811593i
$711$	−11.7806	+	27.2402i	−0.441806	+	1.02159i
$712$	−0.678912	−	11.3747i	−0.0254433	−	0.426285i
$713$	−21.6444	−	25.7948i	−0.810589	−	0.966023i
$714$	50.3901	−	30.4113i	1.88580	−	1.13811i
$715$	17.0399			0.637255
$716$	−16.5555	+	11.8571i	−0.618707	+	0.443122i
$717$	19.7211	−	8.49590i	0.736499	−	0.317285i
$718$	14.9050	+	6.08101i	0.556248	+	0.226941i
$719$	16.2707	−	19.3907i	0.606797	−	0.723152i	−0.371944	−	0.928255i	$-0.621309\pi$
$719$	16.2707	−	19.3907i	0.606797	−	0.723152i	0.978740	+	0.205103i	$0.0657530\pi$
$720$	14.5559	−	4.68289i	0.542467	−	0.174521i
$721$		−	37.6524i		−	1.40225i
$722$	−13.7410	+	23.0908i	−0.511386	+	0.859351i
$723$	−6.97851	+	13.8791i	−0.259533	+	0.516170i
$724$	−2.67343	−	0.685899i	−0.0993571	−	0.0254912i
$725$	−9.85441	−	27.0748i	−0.365983	−	1.00553i
$726$	11.3426	+	3.88084i	0.420962	+	0.144031i
$727$	−22.5563	+	26.8816i	−0.836568	+	0.996983i	0.163378	+	0.986564i	$0.447761\pi$
$727$	−22.5563	+	26.8816i	−0.836568	+	0.996983i	−0.999946	+	0.0104193i	$0.996683\pi$
$728$	24.0161	+	36.4006i	0.890095	+	1.34910i
$729$	20.6343	+	17.4134i	0.764234	+	0.644939i
$730$	6.17738	−	3.25769i	0.228635	−	0.120572i
$731$	−5.31622	−	6.33562i	−0.196627	−	0.234331i
$732$	2.40269	−	6.23220i	0.0888059	−	0.230349i
$733$	−9.81453	−	16.9993i	−0.362508	−	0.627882i	0.625865	−	0.779931i	$-0.284746\pi$
$733$	−9.81453	−	16.9993i	−0.362508	−	0.627882i	−0.988373	+	0.152049i	$0.951413\pi$
$734$	−25.4287	+	40.3882i	−0.938589	+	1.49076i
$735$	30.3440	−	7.17664i	1.11925	−	0.264714i
$736$	−11.8457	+	30.9014i	−0.436639	+	1.13904i
$737$	16.1793	−	44.4522i	0.595971	−	1.63742i
$738$	−0.898334	+	9.19198i	−0.0330681	+	0.338361i
$739$	36.6318	+	6.45918i	1.34752	+	0.237605i	0.800409	−	0.599454i	$-0.204615\pi$
$739$	36.6318	+	6.45918i	1.34752	+	0.237605i	0.547114	+	0.837058i	$0.315727\pi$
$740$	−20.2624	−	13.8685i	−0.744861	−	0.509817i
$741$	19.6737	−	15.9461i	0.722730	−	0.585794i
$742$	−58.9112	+	31.0672i	−2.16270	+	1.14051i
$743$	−15.3304	−	12.8637i	−0.562417	−	0.471924i	0.316703	−	0.948525i	$-0.397424\pi$
$743$	−15.3304	−	12.8637i	−0.562417	−	0.471924i	−0.879120	+	0.476601i	$0.841869\pi$
$744$	−20.5288	−	19.3303i	−0.752622	−	0.708685i
$745$	3.35556	+	19.0303i	0.122938	+	0.697216i
$746$	7.59602	−	35.1486i	0.278110	−	1.28688i
$747$	−14.0291	−	13.2606i	−0.513298	−	0.485182i
$748$	34.3953	+	23.5417i	1.25762	+	0.860771i
$749$		−	57.2899i		−	2.09333i
$750$	−19.6978	+	17.1906i	−0.719262	+	0.627712i
$751$	8.66965	+	3.15549i	0.316360	+	0.115146i	0.495320	−	0.868711i	$-0.335051\pi$
$751$	8.66965	+	3.15549i	0.316360	+	0.115146i	−0.178960	+	0.983856i	$0.557273\pi$
$752$	−1.63404	+	10.5808i	−0.0595871	+	0.385842i
$753$	16.3795	−	32.5763i	0.596904	−	1.18715i
$754$	24.8139	+	31.9838i	0.903667	+	1.16478i
$755$	−13.1321	+	4.77968i	−0.477925	+	0.173950i
$756$	−12.7896	−	46.0246i	−0.465155	−	1.67390i
$757$	−10.7201	−	8.99521i	−0.389628	−	0.326937i	0.426840	−	0.904327i	$-0.359627\pi$
$757$	−10.7201	−	8.99521i	−0.389628	−	0.326937i	−0.816468	+	0.577390i	$0.804071\pi$
$758$	39.6886	+	8.57719i	1.44156	+	0.311537i
$759$	33.7620	−	22.1829i	1.22548	−	0.805189i
$760$	−2.96120	+	15.4280i	−0.107414	+	0.559634i
$761$	5.77291	−	9.99897i	0.209268	−	0.362462i	−0.742216	−	0.670160i	$-0.766225\pi$
$761$	5.77291	−	9.99897i	0.209268	−	0.362462i	0.951484	+	0.307698i	$0.0995586\pi$
$762$	−13.1583	+	5.08045i	−0.476674	+	0.184045i
$763$	12.5394	−	71.1147i	0.453958	−	2.57452i
$764$	−23.9611	+	2.35383i	−0.866883	+	0.0851586i
$765$	−16.6848	−	10.9962i	−0.603240	−	0.397568i
$766$	−24.7170	+	3.38811i	−0.893063	+	0.122418i
$767$	−6.88270	−	3.97373i	−0.248520	−	0.143483i
$768$	−6.82237	+	26.8599i	−0.246181	+	0.969224i
$769$	25.3004	+	9.20859i	0.912355	+	0.332070i	0.755193	−	0.655503i	$-0.227543\pi$
$769$	25.3004	+	9.20859i	0.912355	+	0.332070i	0.157162	+	0.987573i	$0.449765\pi$
$770$	20.2421	+	26.0910i	0.729473	+	0.940254i
$771$	3.64575	−	7.25082i	0.131299	−	0.261132i
$772$	−1.08462	+	14.1297i	−0.0390364	+	0.508538i
$773$	8.78429	+	10.4687i	0.315949	+	0.376533i	0.900524	−	0.434806i	$-0.143183\pi$
$773$	8.78429	+	10.4687i	0.315949	+	0.376533i	−0.584575	+	0.811340i	$0.698739\pi$
$774$	−6.11214	+	2.77493i	−0.219696	+	0.0997428i
$775$	18.2616	+	6.64667i	0.655975	+	0.238755i
$776$	1.77842	−	5.97159i	0.0638417	−	0.214367i
$777$	−45.8356	+	61.5077i	−1.64434	+	2.20658i
$778$	−37.1259	+	19.5786i	−1.33103	+	0.701926i
$779$	−7.84052	−	5.34458i	−0.280916	−	0.191489i
$780$	7.64406	−	12.6802i	0.273701	−	0.454023i
$781$	−1.63756	−	4.49915i	−0.0585964	−	0.160992i
$782$	41.1771	−	13.2247i	1.47249	−	0.472914i
$783$	−15.1071	−	41.6888i	−0.539885	−	1.48984i
$784$	−18.1925	+	53.5044i	−0.649734	+	1.91087i
$785$	15.4804	+	5.63441i	0.552520	+	0.201101i
$786$	−16.3735	+	9.88171i	−0.584024	+	0.352469i
$787$	10.3012	+	17.8422i	0.367199	+	0.636006i	0.989126	−	0.147068i	$-0.0469836\pi$
$787$	10.3012	+	17.8422i	0.367199	+	0.636006i	−0.621928	+	0.783075i	$0.713650\pi$
$788$	−1.91673	−	19.5116i	−0.0682806	−	0.695071i
$789$	−16.3815	−	4.91265i	−0.583195	−	0.174895i
$790$	−15.0860	−	9.49824i	−0.536736	−	0.337932i
$791$	−28.3142	−	49.0417i	−1.00674	−	1.74372i
$792$	25.9034	−	21.7576i	0.920436	−	0.773122i
$793$	−2.21206	−	6.07758i	−0.0785525	−	0.215821i
$794$	−2.66776	+	6.53885i	−0.0946751	+	0.232055i
$795$	18.1313	+	13.5115i	0.643052	+	0.479203i
$796$	−12.6743	−	3.25175i	−0.449230	−	0.115255i
$797$	−0.871247	−	0.503015i	−0.0308612	−	0.0178177i	0.484490	−	0.874797i	$-0.339005\pi$
$797$	−0.871247	−	0.503015i	−0.0308612	−	0.0178177i	−0.515351	+	0.856979i	$0.672339\pi$
$798$	47.7870	+	11.1811i	1.69164	+	0.395805i
$799$	12.1169	−	6.99568i	0.428664	−	0.247489i
$800$	−2.99645	−	18.8631i	−0.105941	−	0.666910i
$801$	5.41414	+	10.8057i	0.191299	+	0.381800i
$802$	−15.5728	+	12.0818i	−0.549894	+	0.426622i
$803$	9.93148	−	11.8359i	0.350474	−	0.417679i
$804$	−25.8210	−	31.9809i	−0.910636	−	1.12788i
$805$	34.2650			1.20768
$806$	−27.2837	−	1.04564i	−0.961027	−	0.0368310i
$807$	4.12750	−	3.89044i	0.145295	−	0.136950i
$808$	−23.1776	−	35.1297i	−0.815384	−	1.23586i
$809$	20.4127	−	35.3559i	0.717673	−	1.24305i	−0.244246	−	0.969713i	$-0.578541\pi$
$809$	20.4127	−	35.3559i	0.717673	−	1.24305i	0.961919	−	0.273333i	$-0.0881261\pi$
$810$	−12.2342	+	10.6467i	−0.429867	+	0.374088i
$811$	19.8759	−	16.6778i	0.697936	−	0.585638i	−0.223250	−	0.974761i	$-0.571666\pi$
$811$	19.8759	−	16.6778i	0.697936	−	0.585638i	0.921186	+	0.389123i	$0.127222\pi$
$812$	−19.4957	+	75.9886i	−0.684166	+	2.66668i
$813$	3.69366	+	15.6174i	0.129542	+	0.547725i
$814$	−53.0970	−	11.4749i	−1.86105	−	0.402195i
$815$	−11.0467	+	13.1649i	−0.386947	+	0.461146i
$816$	32.9482	−	15.0344i	1.15342	−	0.526310i
$817$	0.514776	−	6.87726i	0.0180097	−	0.240605i
$818$	19.2519	−	30.5777i	0.673126	−	1.06912i
$819$	−38.6214	−	25.4536i	−1.34954	−	0.889420i
$820$	−5.37364	−	1.37867i	−0.187656	−	0.0481453i
$821$	6.30689	+	35.7681i	0.220112	+	1.24832i	0.871812	+	0.489840i	$0.162945\pi$
$821$	6.30689	+	35.7681i	0.220112	+	1.24832i	−0.651701	+	0.758476i	$0.725944\pi$
$822$	1.72142	−	11.0075i	0.0600414	−	0.383930i
$823$	39.8238	−	7.02202i	1.38817	−	0.244772i	0.570898	−	0.821021i	$-0.306595\pi$
$823$	39.8238	−	7.02202i	1.38817	−	0.244772i	0.817274	+	0.576249i	$0.195484\pi$
$824$	2.65667	−	23.0162i	0.0925494	−	0.801807i
$825$	−10.4733	+	20.8298i	−0.364635	+	0.725200i
$826$	−2.09166	−	15.2591i	−0.0727780	−	0.530932i
$827$	1.26372	+	7.16693i	0.0439440	+	0.249219i	0.998864	−	0.0476431i	$-0.0151710\pi$
$827$	1.26372	+	7.16693i	0.0439440	+	0.249219i	−0.954920	+	0.296862i	$0.904060\pi$
$828$	−1.36182	−	35.0751i	−0.0473264	−	1.21894i
$829$	−17.8902	+	10.3289i	−0.621353	+	0.358738i	−0.777395	−	0.629012i	$-0.783460\pi$
$829$	−17.8902	+	10.3289i	−0.621353	+	0.358738i	0.156043	+	0.987750i	$0.450126\pi$
$830$	9.16171	−	7.10789i	0.318008	−	0.246719i
$831$	27.8732	+	3.27115i	0.966909	+	0.113475i
$832$	12.1122	+	23.9455i	0.419915	+	0.830159i
$833$	69.3993	−	25.2593i	2.40454	−	0.875182i
$834$	−41.8427	−	6.54363i	−1.44890	−	0.226587i
$835$	−4.39122	−	7.60582i	−0.151965	−	0.263210i
$836$	6.82793	+	34.0783i	0.236149	+	1.17862i
$837$	28.0898	+	10.2686i	0.970925	+	0.354934i
$838$	13.3053	+	12.0623i	0.459625	+	0.416686i
$839$	−2.84631	+	16.1422i	−0.0982656	+	0.557292i	0.895432	+	0.445198i	$0.146867\pi$
$839$	−2.84631	+	16.1422i	−0.0982656	+	0.557292i	−0.993698	+	0.112094i	$0.964244\pi$
$840$	28.4961	−	3.35871i	0.983209	−	0.115887i
$841$	−7.60953	+	43.1558i	−0.262398	+	1.48813i
$842$	−10.5744	−	4.31420i	−0.364417	−	0.148677i
$843$	5.34909	−	0.309034i	0.184232	−	0.0106437i
$844$	−13.7930	−	28.7747i	−0.474774	−	0.990466i
$845$	0.386903	+	2.19424i	0.0133099	+	0.0754841i
$846$	−2.82754	−	10.9980i	−0.0972127	−	0.378120i
$847$	19.4821	+	11.2480i	0.669414	+	0.386487i
$848$	−38.2032	+	14.8341i	−1.31190	+	0.509406i
$849$	−18.6797	+	17.6069i	−0.641087	+	0.604267i
$850$	−16.7645	+	18.4921i	−0.575019	+	0.634274i
$851$	−43.1795	+	36.2319i	−1.48017	+	1.24201i
$852$	−4.08264	−	0.799727i	−0.139869	−	0.0273982i
$853$	−15.5472	+	5.65871i	−0.532325	+	0.193750i	−0.594176	−	0.804335i	$-0.702522\pi$
$853$	−15.5472	+	5.65871i	−0.532325	+	0.193750i	0.0618512	+	0.998085i	$0.480300\pi$
$854$	6.67807	−	10.6067i	0.228519	−	0.362955i
$855$	−3.55880	−	16.2781i	−0.121708	−	0.556700i
$856$	4.04224	−	35.0202i	0.138161	−	1.19696i
$857$	−6.94948	−	19.0935i	−0.237390	−	0.652223i	−0.999986	−	0.00534760i	$-0.998298\pi$
$857$	−6.94948	−	19.0935i	−0.237390	−	0.652223i	0.762596	−	0.646875i	$-0.223924\pi$
$858$	5.06115	−	32.3631i	0.172785	−	1.10486i
$859$	27.3321	+	32.5731i	0.932558	+	1.11138i	0.993567	+	0.113243i	$0.0361237\pi$
$859$	27.3321	+	32.5731i	0.932558	+	1.11138i	−0.0610089	+	0.998137i	$0.519432\pi$
$860$	−1.08501	−	3.88333i	−0.0369985	−	0.132420i
$861$	−4.97842	+	16.6008i	−0.169664	+	0.565753i
$862$	0.192828	−	0.101689i	0.00656773	−	0.00346354i
$863$	−3.29970	+	5.71524i	−0.112323	+	0.194549i	−0.916706	−	0.399561i	$-0.869162\pi$
$863$	−3.29970	+	5.71524i	−0.112323	+	0.194549i	0.804383	+	0.594110i	$0.202496\pi$
$864$	−4.57066	−	29.0363i	−0.155497	−	0.987836i
$865$	20.0505	−	3.53544i	0.681736	−	0.120209i
$866$	4.75013	−	7.54460i	0.161416	−	0.256376i
$867$	−15.9780	−	8.03385i	−0.542642	−	0.272844i
$868$	−30.8099	−	43.0182i	−1.04576	−	1.46013i
$869$	−38.8409	−	6.84871i	−1.31759	−	0.232326i
$870$	26.1355	−	5.13314i	0.886078	−	0.174030i
$871$	−39.1962	−	6.91135i	−1.32811	−	0.234182i
$872$	12.6828	−	42.5862i	0.429493	−	1.44215i
$873$	0.761075	+	6.56477i	0.0257585	+	0.222184i
$874$	32.2812	+	16.0776i	1.09193	+	0.543833i
$875$	−42.4876	+	24.5302i	−1.43634	+	0.829272i
$876$	−4.35240	−	12.7000i	−0.147054	−	0.429095i
$877$	−1.83778	−	5.04925i	−0.0620573	−	0.170501i	0.904789	−	0.425860i	$-0.140028\pi$
$877$	−1.83778	−	5.04925i	−0.0620573	−	0.170501i	−0.966846	+	0.255359i	$0.917806\pi$
$878$	46.2778	−	6.34358i	1.56180	−	0.214086i
$879$	−51.7822	+	22.3079i	−1.74657	+	0.752426i
$880$	10.5326	+	17.3771i	0.355055	+	0.585783i
$881$	−1.89847	−	3.28825i	−0.0639611	−	0.110784i	0.832272	−	0.554368i	$-0.187040\pi$
$881$	−1.89847	−	3.28825i	−0.0639611	−	0.110784i	−0.896233	+	0.443584i	$0.853707\pi$
$882$	−4.61758	−	59.7626i	−0.155482	−	2.01231i
$883$	−12.6487	+	2.23031i	−0.425663	+	0.0750559i	−0.382376	−	0.924007i	$-0.624894\pi$
$883$	−12.6487	+	2.23031i	−0.425663	+	0.0750559i	−0.0432872	+	0.999063i	$0.513783\pi$
$884$	14.4811	−	31.9389i	0.487052	−	1.07422i
$885$	−4.37023	+	2.87141i	−0.146904	+	0.0965214i
$886$	14.8740	−	23.6243i	0.499702	−	0.793674i
$887$	6.16286	+	34.9513i	0.206929	+	1.17355i	0.894376	+	0.447316i	$0.147620\pi$
$887$	6.16286	+	34.9513i	0.206929	+	1.17355i	−0.687447	+	0.726234i	$0.741269\pi$
$888$	−32.3582	+	34.3644i	−1.08587	+	1.15319i
$889$	−26.0664	+	4.59620i	−0.874238	+	0.154152i
$890$	−6.91211	+	2.21993i	−0.231694	+	0.0744123i
$891$	−16.1633	+	32.0339i	−0.541491	+	1.07318i
$892$	16.9452	+	35.3508i	0.567367	+	1.18363i
$893$	11.3063	+	2.87790i	0.378352	+	0.0963051i
$894$	37.1401	−	0.720725i	1.24215	−	0.0241046i
$895$	9.93855	+	8.33943i	0.332209	+	0.278756i
$896$	−22.2762	+	46.9912i	−0.744197	+	1.56987i
$897$	−23.3131	−	24.7337i	−0.778402	−	0.825833i
$898$	−29.1750	+	9.37002i	−0.973584	+	0.312682i
$899$	−31.5719	−	37.6259i	−1.05298	−	1.25489i
$900$	10.8021	+	17.1379i	0.360070	+	0.571264i
$901$	46.3819	+	26.7786i	1.54521	+	0.892125i
$902$	−12.1598	+	1.66682i	−0.404878	+	0.0554991i
$903$	−12.2581	+	2.89917i	−0.407926	+	0.0964782i
$904$	−13.8477	−	31.9760i	−0.460566	−	1.06351i
$905$			1.75843i			0.0584523i
$906$	5.17739	+	26.3608i	0.172007	+	0.875780i
$907$	−16.2634	−	13.6467i	−0.540019	−	0.453130i	0.331525	−	0.943446i	$-0.392437\pi$
$907$	−16.2634	−	13.6467i	−0.540019	−	0.453130i	−0.871544	+	0.490317i	$0.836881\pi$
$908$	3.14612	+	32.0263i	0.104408	+	1.06283i
$909$	37.2729	+	24.5649i	1.23627	+	0.814765i
$910$	18.6612	−	20.5842i	0.618612	−	0.682359i
$911$	7.65229	+	13.2542i	0.253532	+	0.439130i	0.964496	−	0.264099i	$-0.0850745\pi$
$911$	7.65229	+	13.2542i	0.253532	+	0.439130i	−0.710964	+	0.703228i	$0.751741\pi$
$912$	28.4223	+	10.2065i	0.941157	+	0.337971i
$913$	12.8270	−	22.2169i	0.424510	−	0.735274i
$914$	14.4054	+	44.8535i	0.476488	+	1.48362i
$915$	−4.22646	−	0.496010i	−0.139722	−	0.0163976i
$916$	2.02562	−	1.45076i	0.0669284	−	0.0479345i
$917$	−33.7231	+	12.2742i	−1.11364	+	0.405330i
$918$	−25.8403	+	28.4227i	−0.852857	+	0.938089i
$919$	−20.7553	+	11.9831i	−0.684655	+	0.395286i	−0.801606	−	0.597852i	$-0.796021\pi$
$919$	−20.7553	+	11.9831i	−0.684655	+	0.395286i	0.116952	+	0.993138i	$0.462688\pi$
$920$	20.9455	+	2.41766i	0.690552	+	0.0797078i
$921$	−18.3457	−	19.4636i	−0.604513	−	0.641348i
$922$	12.3291	+	15.8916i	0.406037	+	0.523361i
$923$	−3.48868	+	2.01419i	−0.114831	+	0.0662978i
$924$	55.5658	−	30.6954i	1.82798	−	1.00981i
$925$	11.1263	−	30.5691i	0.365829	−	1.00511i
$926$	−0.548082	+	2.53610i	−0.0180111	+	0.0833415i
$927$	7.02596	+	23.5486i	0.230763	+	0.773439i
$928$	−17.2789	+	45.0747i	−0.567209	+	1.47965i
$929$	17.3863	−	6.32808i	0.570425	−	0.207618i	−0.0406733	−	0.999173i	$-0.512950\pi$
$929$	17.3863	−	6.32808i	0.570425	−	0.207618i	0.611098	+	0.791555i	$0.290728\pi$
$930$	−8.67888	+	15.7294i	−0.284592	+	0.515786i
$931$	56.1357	+	25.3235i	1.83977	+	0.829945i
$932$	5.04816	+	0.387507i	0.165358	+	0.0126932i
$933$	1.84823	−	15.7486i	0.0605084	−	0.515587i
$934$	−9.65783	−	8.75558i	−0.316014	−	0.286491i
$935$	9.08234	−	24.9535i	0.297024	−	0.816068i
$936$	−21.8125	−	18.2843i	−0.712965	−	0.597641i
$937$	−23.9866	+	20.1271i	−0.783607	+	0.657524i	−0.944154	−	0.329504i	$-0.893119\pi$
$937$	−23.9866	+	20.1271i	−0.783607	+	0.657524i	0.160547	+	0.987028i	$0.448674\pi$
$938$	−35.9796	−	68.2263i	−1.17478	−	2.22767i
$939$	6.15484	−	4.04397i	0.200856	−	0.131970i
$940$	6.78838	−	0.666859i	0.221413	−	0.0217505i
$941$	−17.1192	+	47.0347i	−0.558072	+	1.53329i	0.264360	+	0.964424i	$0.414839\pi$
$941$	−17.1192	+	47.0347i	−0.558072	+	1.53329i	−0.822431	+	0.568865i	$0.807383\pi$
$942$	15.2992	−	27.7278i	0.498474	−	0.903420i
$943$	−6.36769	+	11.0292i	−0.207360	+	0.359159i
$944$	−0.201941	−	9.47515i	−0.00657262	−	0.308390i
$945$	−26.3779	+	15.1799i	−0.858073	+	0.493801i
$946$	−5.46803	−	7.04802i	−0.177781	−	0.229151i
$947$	42.1453	+	7.43136i	1.36954	+	0.241487i	0.809568	−	0.587026i	$-0.199701\pi$
$947$	42.1453	+	7.43136i	1.36954	+	0.241487i	0.559970	+	0.828513i	$0.310812\pi$
$948$	−22.5204	+	25.8311i	−0.731429	+	0.838954i
$949$	−11.2580	−	6.49983i	−0.365451	−	0.210993i
$950$	−20.7739	+	1.27951i	−0.673995	+	0.0415128i
$951$	−7.96710	+	15.8453i	−0.258351	+	0.513818i
$952$	66.1064	−	15.7679i	2.14252	−	0.511041i
$953$	3.85186	−	4.59047i	0.124774	−	0.148700i	−0.700041	−	0.714103i	$-0.746835\pi$
$953$	3.85186	−	4.59047i	0.124774	−	0.148700i	0.824815	+	0.565403i	$0.191279\pi$
$954$	31.0472	−	30.4229i	1.00519	−	0.984979i
$955$	5.24637	+	14.4143i	0.169769	+	0.466435i
$956$	24.6765	−	2.42410i	0.798094	−	0.0784010i
$957$	49.2473	−	32.3574i	1.59194	−	1.04597i
$958$	−36.9670	−	1.41675i	−1.19435	−	0.0457730i
$959$	7.15059	−	19.6461i	0.230905	−	0.634405i
$960$	17.6561	−	0.0424934i	0.569847	−	0.00137147i
$961$	2.12888			0.0686735
$962$	−1.75035	+	45.6718i	−0.0564337	+	1.47252i
$963$	10.6903	+	35.8303i	0.344491	+	1.15462i
$964$	−12.5482	+	12.8185i	−0.404152	+	0.412857i
$965$	8.89148	−	1.56781i	0.286227	−	0.0504695i
$966$	10.1773	−	65.0780i	0.327450	−	2.09385i
$967$	−6.28339	+	7.48826i	−0.202060	+	0.240806i	−0.857553	−	0.514395i	$-0.828016\pi$
$967$	−6.28339	+	7.48826i	−0.202060	+	0.240806i	0.655493	+	0.755201i	$0.272461\pi$
$968$	11.1154	+	8.25030i	0.357263	+	0.265175i
$969$	−12.8656	−	37.3098i	−0.413302	−	1.19856i
$970$	−3.96678	−	0.152025i	−0.127366	−	0.00488124i
$971$	−2.60667	+	14.7832i	−0.0836521	+	0.474415i	0.913987	+	0.405743i	$0.132987\pi$
$971$	−2.60667	+	14.7832i	−0.0836521	+	0.474415i	−0.997639	+	0.0686717i	$0.978124\pi$
$972$	16.5871	+	26.3982i	0.532032	+	0.846724i
$973$	−74.6806	−	27.1815i	−2.39415	−	0.871400i
$974$	0.365044	+	1.13662i	0.0116968	+	0.0364197i
$975$	18.7894	+	5.63477i	0.601742	+	0.180457i
$976$	4.83055	−	6.01250i	0.154622	−	0.192455i
$977$	−20.0519	+	11.5770i	−0.641517	+	0.370380i	−0.785199	−	0.619244i	$-0.787439\pi$
$977$	−20.0519	+	11.5770i	−0.641517	+	0.370380i	0.143682	+	0.989624i	$0.454106\pi$
$978$	21.7225	+	24.8907i	0.694608	+	0.795916i
$979$	−12.3038	+	10.3241i	−0.393232	+	0.329961i
$980$	35.8992	+	2.75569i	1.14676	+	0.0880274i
$981$	5.42758	+	46.8165i	0.173289	+	1.49474i
$982$	−0.152747	−	1.11432i	−0.00487435	−	0.0355594i
$983$	−6.97762	−	5.85492i	−0.222552	−	0.186743i	0.524694	−	0.851291i	$-0.324180\pi$
$983$	−6.97762	−	5.85492i	−0.222552	−	0.186743i	−0.747246	+	0.664548i	$0.768624\pi$
$984$	−4.21452	+	9.79645i	−0.134354	+	0.312299i
$985$	−11.7376	+	4.27213i	−0.373990	+	0.136121i
$986$	60.0636	−	19.2904i	1.91281	−	0.614330i
$987$	−1.22905	−	21.2738i	−0.0391212	−	0.677152i
$988$	27.2392	−	10.6364i	0.866594	−	0.338390i
$989$	−9.25607			−0.294326
$990$	−17.5284	−	12.5407i	−0.557089	−	0.398569i
$991$	10.7694	+	9.03661i	0.342102	+	0.287057i	0.797609	−	0.603175i	$-0.206098\pi$
$991$	10.7694	+	9.03661i	0.342102	+	0.287057i	−0.455508	+	0.890232i	$0.650542\pi$
$992$	−15.7982	−	28.4700i	−0.501593	−	0.903924i
$993$	−5.06143	−	0.594001i	−0.160620	−	0.0188501i
$994$	−7.22835	−	2.94906i	−0.229269	−	0.0935386i
$995$			8.33648i			0.264284i
$996$	−10.7785	−	19.5116i	−0.341531	−	0.618250i
$997$	24.2346	−	20.3353i	0.767518	−	0.644024i	−0.172554	−	0.985000i	$-0.555202\pi$
$997$	24.2346	−	20.3353i	0.767518	−	0.644024i	0.940072	+	0.340976i	$0.110757\pi$
$998$	45.0627	+	18.3849i	1.42643	+	0.581965i
$999$	17.1892	−	47.0212i	0.543843	−	1.48768i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	684.2.cc.a.211.7	yes	696
4.3	odd	2	inner	684.2.cc.a.211.84	yes	696
9.7	even	3		684.2.bt.a.439.72	yes	696
19.10	odd	18		684.2.bt.a.67.7	✓	696
36.7	odd	6		684.2.bt.a.439.7	yes	696
76.67	even	18		684.2.bt.a.67.72	yes	696
171.124	odd	18	inner	684.2.cc.a.295.84	yes	696
684.295	even	18	inner	684.2.cc.a.295.7	yes	696

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
684.2.bt.a.67.7	✓	696	19.10	odd	18
684.2.bt.a.67.72	yes	696	76.67	even	18
684.2.bt.a.439.7	yes	696	36.7	odd	6
684.2.bt.a.439.72	yes	696	9.7	even	3
684.2.cc.a.211.7	yes	696	1.1	even	1	trivial
684.2.cc.a.211.84	yes	696	4.3	odd	2	inner
684.2.cc.a.295.7	yes	696	684.295	even	18	inner
684.2.cc.a.295.84	yes	696	171.124	odd	18	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:	\( N \)	\(=\)	\( 684 = 2^{2} \cdot 3^{2} \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	684.cc (of order \(18\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.38230 - 0.298732i) q^{2} +(1.72024 + 0.201885i) q^{3} +(1.82152 + 0.825876i) q^{4} +(0.221266 - 1.25486i) q^{5} +(-2.31759 - 0.792958i) q^{6} +(-3.98072 - 2.29827i) q^{7} +(-2.27117 - 1.68576i) q^{8} +(2.91848 + 0.694584i) q^{9} +(-0.680724 + 1.66850i) q^{10} +3.98674i q^{11} +(2.96673 + 1.78845i) q^{12} +(3.30335 - 0.582470i) q^{13} +(4.81599 + 4.36607i) q^{14} +(0.633970 - 2.11400i) q^{15} +(2.63586 + 3.00870i) q^{16} +(0.907723 - 5.14795i) q^{17} +(-3.82673 - 1.83197i) q^{18} +(3.53893 - 2.54479i) q^{19} +(1.43940 - 2.10302i) q^{20} +(-6.38383 - 4.75723i) q^{21} +(1.19097 - 5.51088i) q^{22} +(-3.76047 - 4.48155i) q^{23} +(-3.56664 - 3.35843i) q^{24} +(3.17274 + 1.15478i) q^{25} +(-4.74023 - 0.181668i) q^{26} +(4.88028 + 1.78405i) q^{27} +(-5.35287 - 7.47392i) q^{28} +(-5.48526 - 6.53708i) q^{29} +(-1.50786 + 2.73280i) q^{30} +5.75577 q^{31} +(-2.74476 - 4.94634i) q^{32} +(-0.804864 + 6.85818i) q^{33} +(-2.79261 + 6.84486i) q^{34} +(-3.76481 + 4.48673i) q^{35} +(4.74243 + 3.67550i) q^{36} -9.63493i q^{37} +(-5.65209 + 2.46047i) q^{38} +(5.80017 - 0.335094i) q^{39} +(-2.61793 + 2.47701i) q^{40} +(-0.744541 - 2.04561i) q^{41} +(7.40324 + 8.48299i) q^{42} +(1.01700 - 1.21201i) q^{43} +(-3.29256 + 7.26193i) q^{44} +(1.51737 - 3.50861i) q^{45} +(3.85932 + 7.31824i) q^{46} +(1.72046 + 2.05036i) q^{47} +(3.92691 + 5.70783i) q^{48} +(7.06409 + 12.2354i) q^{49} +(-4.04072 - 2.54406i) q^{50} +(2.60080 - 8.67248i) q^{51} +(6.49817 + 1.66718i) q^{52} +(-3.50418 + 9.62766i) q^{53} +(-6.21307 - 3.92400i) q^{54} +(5.00282 + 0.882131i) q^{55} +(5.16658 + 11.9303i) q^{56} +(6.60159 - 3.66320i) q^{57} +(5.62945 + 10.6748i) q^{58} +(-1.81501 - 1.52297i) q^{59} +(2.90069 - 3.32711i) q^{60} +(-0.334820 - 1.89886i) q^{61} +(-7.95621 - 1.71943i) q^{62} +(-10.0213 - 9.47241i) q^{63} +(2.31645 + 7.65729i) q^{64} -4.27413i q^{65} +(3.16132 - 9.23963i) q^{66} +(-11.1500 - 4.05827i) q^{67} +(5.90500 - 8.62742i) q^{68} +(-5.56417 - 8.46855i) q^{69} +(6.54444 - 5.07734i) q^{70} +(-1.12853 + 0.410751i) q^{71} +(-5.45749 - 6.49737i) q^{72} +(-2.96881 - 2.49113i) q^{73} +(-2.87826 + 13.3184i) q^{74} +(5.22476 + 2.62704i) q^{75} +(8.54791 - 1.71266i) q^{76} +(9.16261 - 15.8701i) q^{77} +(-8.11769 - 1.26950i) q^{78} +(-1.71787 + 9.74252i) q^{79} +(4.35873 - 2.64192i) q^{80} +(8.03511 + 4.05426i) q^{81} +(0.418091 + 3.05007i) q^{82} +(-5.57270 - 3.21740i) q^{83} +(-7.69937 - 13.9376i) q^{84} +(-6.25912 - 2.27814i) q^{85} +(-1.76786 + 1.37155i) q^{86} +(-8.11626 - 12.3528i) q^{87} +(6.72068 - 9.05458i) q^{88} +(2.58961 + 3.08618i) q^{89} +(-3.14560 + 4.39667i) q^{90} +(-14.4884 - 5.27335i) q^{91} +(-3.14856 - 11.2689i) q^{92} +(9.90133 + 1.16200i) q^{93} +(-1.76569 - 3.34818i) q^{94} +(-2.41031 - 5.00395i) q^{95} +(-3.72306 - 9.06305i) q^{96} +(0.753441 + 2.07006i) q^{97} +(-6.10961 - 19.0232i) q^{98} +(-2.76913 + 11.6353i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 696 q - 3 q^{2} - 3 q^{4} - 6 q^{5} - 6 q^{6} - 18 q^{8} - 12 q^{10} - 9 q^{12} - 6 q^{13} - 15 q^{14} - 3 q^{16} - 24 q^{17} - 6 q^{20} - 30 q^{21} + 21 q^{22} + 24 q^{24} - 6 q^{25} - 30 q^{26} - 6 q^{29}+ \cdots - 63 q^{98}+O(q^{100}) \) 696 * q - 3 * q^2 - 3 * q^4 - 6 * q^5 - 6 * q^6 - 18 * q^8 - 12 * q^10 - 9 * q^12 - 6 * q^13 - 15 * q^14 - 3 * q^16 - 24 * q^17 - 6 * q^20 - 30 * q^21 + 21 * q^22 + 24 * q^24 - 6 * q^25 - 30 * q^26 - 6 * q^29 - 21 * q^30 - 3 * q^32 + 36 * q^33 + 33 * q^34 + 54 * q^36 - 3 * q^38 - 33 * q^40 + 54 * q^41 - 87 * q^42 - 33 * q^44 - 6 * q^45 - 18 * q^46 + 6 * q^48 + 282 * q^49 - 3 * q^52 - 24 * q^53 - 51 * q^54 - 63 * q^56 - 12 * q^57 - 6 * q^58 - 27 * q^60 - 6 * q^61 - 18 * q^62 - 24 * q^64 - 30 * q^66 + 3 * q^68 - 18 * q^69 - 45 * q^70 + 12 * q^72 - 60 * q^73 + 3 * q^74 - 3 * q^76 + 72 * q^77 - 81 * q^78 - 12 * q^80 - 72 * q^81 - 12 * q^82 - 9 * q^84 - 6 * q^85 - 57 * q^86 - 9 * q^88 - 24 * q^89 + 39 * q^90 + 81 * q^92 - 48 * q^93 + 15 * q^96 + 30 * q^97 - 63 * q^98

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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