LMFDB - Embedded newform 161.2.o.a.10.5

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [161,2,Mod(5,161)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(161, base_ring=CyclotomicField(66))

chi = DirichletCharacter(H, H._module([55, 3]))

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

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

chi := DirichletCharacter("161.5");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 161 = 7 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	161.o (of order $66$, degree $20$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$1.28559147254$
Analytic rank:	$0$
Dimension:	$280$
Relative dimension:	$14$ over $\Q(\zeta_{66})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label			10.5
Character	$\chi$	$=$	161.10
Dual form			161.2.o.a.145.5

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-0.464860 + 1.34312i) q^{2} +(1.06791 + 2.07145i) q^{3} +(-0.0157802 - 0.0124097i) q^{4} +(-1.18248 + 0.112913i) q^{5} +(-3.27865 + 0.471398i) q^{6} +(2.48349 - 0.912284i) q^{7} +(-2.36733 + 1.52139i) q^{8} +(-1.41032 + 1.98052i) q^{9} +(0.398030 - 1.64070i) q^{10} +(1.80343 - 0.624175i) q^{11} +(0.00885429 - 0.0459404i) q^{12} +(-1.43719 - 4.89464i) q^{13} +(0.0708350 + 3.75972i) q^{14} +(-1.49667 - 2.32887i) q^{15} +(-0.952407 - 3.92587i) q^{16} +(-1.22564 - 0.490671i) q^{17} +(-2.00448 - 2.81490i) q^{18} +(-0.159220 + 0.0637423i) q^{19} +(0.0200610 + 0.0128924i) q^{20} +(4.54190 + 4.17021i) q^{21} +2.71239i q^{22} +(1.84874 + 4.42517i) q^{23} +(-5.67959 - 3.27911i) q^{24} +(-3.52414 + 0.679222i) q^{25} +(7.24219 + 0.344988i) q^{26} +(1.31176 + 0.188603i) q^{27} +(-0.0505112 - 0.0164234i) q^{28} +(-0.348424 - 2.42334i) q^{29} +(3.82370 - 0.927619i) q^{30} +(2.42700 - 0.115612i) q^{31} +(0.113044 + 0.0107944i) q^{32} +(3.21885 + 3.06917i) q^{33} +(1.22878 - 1.41809i) q^{34} +(-2.83367 + 1.35917i) q^{35} +(0.0468328 - 0.0137514i) q^{36} +(6.51857 + 4.64185i) q^{37} +(-0.0115986 - 0.243484i) q^{38} +(8.60422 - 8.20411i) q^{39} +(2.62753 - 2.06631i) q^{40} +(-6.04331 - 2.75989i) q^{41} +(-7.71245 + 4.16177i) q^{42} +(1.65102 - 2.56904i) q^{43} +(-0.0362044 - 0.0125305i) q^{44} +(1.44405 - 2.50116i) q^{45} +(-6.80296 + 0.426003i) q^{46} +(3.24051 - 1.87091i) q^{47} +(7.11518 - 6.16534i) q^{48} +(5.33547 - 4.53130i) q^{49} +(0.725951 - 5.04910i) q^{50} +(-0.292466 - 3.06284i) q^{51} +(-0.0380617 + 0.0950736i) q^{52} +(8.39499 + 8.80441i) q^{53} +(-0.863102 + 1.67418i) q^{54} +(-2.06204 + 0.941703i) q^{55} +(-4.49131 + 5.93805i) q^{56} +(-0.302072 - 0.261747i) q^{57} +(3.41681 + 0.658537i) q^{58} +(-13.8176 - 3.35212i) q^{59} +(-0.00528273 + 0.0553233i) q^{60} +(-2.91773 - 1.50419i) q^{61} +(-0.972932 + 3.31350i) q^{62} +(-1.69573 + 6.20522i) q^{63} +(3.28930 - 7.20255i) q^{64} +(2.25212 + 5.62552i) q^{65} +(-5.61859 + 2.89658i) q^{66} +(-0.785669 - 4.07644i) q^{67} +(0.0132517 + 0.0229527i) q^{68} +(-7.19226 + 8.55526i) q^{69} +(-0.508282 - 4.43779i) q^{70} +(-4.18345 - 4.82796i) q^{71} +(0.325553 - 6.83420i) q^{72} +(-9.73744 + 12.3822i) q^{73} +(-9.26480 + 6.59744i) q^{74} +(-5.17044 - 6.57475i) q^{75} +(0.00330356 + 0.000970011i) q^{76} +(3.90939 - 3.19538i) q^{77} +(7.01938 + 15.3703i) q^{78} +(-7.17490 + 7.52482i) q^{79} +(1.56948 + 4.53472i) q^{80} +(3.39581 + 9.81155i) q^{81} +(6.51616 - 6.83395i) q^{82} +(-1.95670 - 4.28458i) q^{83} +(-0.0199212 - 0.122170i) q^{84} +(1.50469 + 0.441817i) q^{85} +(2.68305 + 3.41177i) q^{86} +(4.64775 - 3.30965i) q^{87} +(-3.31971 + 4.22136i) q^{88} +(0.570454 - 11.9753i) q^{89} +(2.68809 + 3.10222i) q^{90} +(-8.03456 - 10.8447i) q^{91} +(0.0257415 - 0.0927725i) q^{92} +(2.83130 + 4.90395i) q^{93} +(1.00648 + 5.22212i) q^{94} +(0.181077 - 0.0933518i) q^{95} +(0.0983609 + 0.245694i) q^{96} +(4.07156 - 8.91547i) q^{97} +(3.60585 + 9.27262i) q^{98} +(-1.30723 + 4.45202i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 280 q - 7 q^{2} - 27 q^{3} + q^{4} - 33 q^{5} - 22 q^{7} - 56 q^{8} - 15 q^{9} - 33 q^{10} - 11 q^{11} - 39 q^{12} - 22 q^{14} - 44 q^{15} + 11 q^{16} - 33 q^{17} - 77 q^{18} - 33 q^{19} + 44 q^{21} + 11 q^{23}+ \cdots - 198 q^{99}+O(q^{100}) $ 280 * q - 7 * q^2 - 27 * q^3 + q^4 - 33 * q^5 - 22 * q^7 - 56 * q^8 - 15 * q^9 - 33 * q^10 - 11 * q^11 - 39 * q^12 - 22 * q^14 - 44 * q^15 + 11 * q^16 - 33 * q^17 - 77 * q^18 - 33 * q^19 + 44 * q^21 + 11 * q^23 - 30 * q^24 - 11 * q^25 - 21 * q^26 + 66 * q^28 + 33 * q^30 - 33 * q^31 - 27 * q^32 - 33 * q^33 + 10 * q^35 + 66 * q^36 - 55 * q^37 - 33 * q^38 + 5 * q^39 - 33 * q^40 + 88 * q^42 + 44 * q^43 - 66 * q^44 - 29 * q^46 - 30 * q^47 + 16 * q^49 + 26 * q^50 - 55 * q^51 - 105 * q^52 - 11 * q^53 - 3 * q^54 + 99 * q^56 + 44 * q^57 - 36 * q^58 + 21 * q^59 - 11 * q^60 - 33 * q^61 + 33 * q^63 + 24 * q^64 + 66 * q^65 + 66 * q^66 - 11 * q^67 + 6 * q^70 - 60 * q^71 + 59 * q^72 - 15 * q^73 - 129 * q^75 + 13 * q^77 - 252 * q^78 + 33 * q^79 + 264 * q^80 + 99 * q^81 - 33 * q^82 + 44 * q^84 - 212 * q^85 + 11 * q^86 + 381 * q^87 + 198 * q^88 - 33 * q^89 - 214 * q^92 - 12 * q^93 + 180 * q^94 + 32 * q^95 + 51 * q^96 + 80 * q^98 - 198 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/161\mathbb{Z}\right)^\times$.

$n$	$24$	$120$
$\chi(n)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{3}{22}\right)$

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 $

$2$	−0.464860	+	1.34312i	−0.328705	+	0.949732i	0.652672	+	0.757641i	$0.273648\pi$
$2$	−0.464860	+	1.34312i	−0.328705	+	0.949732i	−0.981377	+	0.192091i	$0.938473\pi$
$3$	1.06791	+	2.07145i	0.616557	+	1.19595i	0.965889	+	0.258955i	$0.0833783\pi$
$3$	1.06791	+	2.07145i	0.616557	+	1.19595i	−0.349332	+	0.936999i	$0.613591\pi$
$4$	−0.0157802	−	0.0124097i	−0.00789011	−	0.00620485i
$5$	−1.18248	+	0.112913i	−0.528820	+	0.0504962i	−0.356052	−	0.934466i	$-0.615877\pi$
$5$	−1.18248	+	0.112913i	−0.528820	+	0.0504962i	−0.172768	+	0.984962i	$0.555271\pi$
$6$	−3.27865	+	0.471398i	−1.33850	+	0.192447i
$7$	2.48349	−	0.912284i	0.938672	−	0.344811i
$7$	2.48349	−	0.912284i	0.938672	−	0.344811i
$8$	−2.36733	+	1.52139i	−0.836979	+	0.537893i
$9$	−1.41032	+	1.98052i	−0.470107	+	0.660173i
$10$	0.398030	−	1.64070i	0.125868	−	0.518835i
$11$	1.80343	−	0.624175i	0.543756	−	0.188196i	−0.0413617	−	0.999144i	$-0.513170\pi$
$11$	1.80343	−	0.624175i	0.543756	−	0.188196i	0.585117	+	0.810949i	$0.301048\pi$
$12$	0.00885429	−	0.0459404i	0.00255601	−	0.0132619i
$13$	−1.43719	−	4.89464i	−0.398606	−	1.35753i	−0.877467	−	0.479637i	$-0.840768\pi$
$13$	−1.43719	−	4.89464i	−0.398606	−	1.35753i	0.478861	−	0.877891i	$-0.341050\pi$
$14$	0.0708350	+	3.75972i	0.0189315	+	1.00483i
$15$	−1.49667	−	2.32887i	−0.386439	−	0.601311i
$16$	−0.952407	−	3.92587i	−0.238102	−	0.981468i
$17$	−1.22564	−	0.490671i	−0.297261	−	0.119005i	0.218238	−	0.975896i	$-0.429969\pi$
$17$	−1.22564	−	0.490671i	−0.297261	−	0.119005i	−0.515499	+	0.856890i	$0.672393\pi$
$18$	−2.00448	−	2.81490i	−0.472461	−	0.663478i
$19$	−0.159220	+	0.0637423i	−0.0365277	+	0.0146235i	−0.389854	−	0.920877i	$-0.627475\pi$
$19$	−0.159220	+	0.0637423i	−0.0365277	+	0.0146235i	0.353327	+	0.935500i	$0.385050\pi$
$20$	0.0200610	+	0.0128924i	0.00448577	+	0.00288283i
$21$	4.54190	+	4.17021i	0.991124	+	0.910013i
$22$			2.71239i			0.578283i
$23$	1.84874	+	4.42517i	0.385489	+	0.922712i
$23$	1.84874	+	4.42517i	0.385489	+	0.922712i
$24$	−5.67959	−	3.27911i	−1.15934	−	0.669346i
$25$	−3.52414	+	0.679222i	−0.704828	+	0.135844i
$26$	7.24219	+	0.344988i	1.42031	+	0.0676578i
$27$	1.31176	+	0.188603i	0.252449	+	0.0362966i
$28$	−0.0505112	−	0.0164234i	−0.00954573	−	0.00310372i
$29$	−0.348424	−	2.42334i	−0.0647007	−	0.450003i	−0.996259	−	0.0864123i	$-0.972460\pi$
$29$	−0.348424	−	2.42334i	−0.0647007	−	0.450003i	0.931559	−	0.363591i	$-0.118449\pi$
$30$	3.82370	−	0.927619i	0.698109	−	0.169359i
$31$	2.42700	−	0.115612i	0.435902	−	0.0207646i	0.171516	−	0.985181i	$-0.445134\pi$
$31$	2.42700	−	0.115612i	0.435902	−	0.0207646i	0.264386	+	0.964417i	$0.414831\pi$
$32$	0.113044	+	0.0107944i	0.0199836	+	0.00190820i
$33$	3.21885	+	3.06917i	0.560330	+	0.534274i
$34$	1.22878	−	1.41809i	0.210734	−	0.243200i
$35$	−2.83367	+	1.35917i	−0.478977	+	0.229742i
$36$	0.0468328	−	0.0137514i	0.00780547	−	0.00229189i
$37$	6.51857	+	4.64185i	1.07165	+	0.763116i	0.972721	−	0.231979i	$-0.0745200\pi$
$37$	6.51857	+	4.64185i	1.07165	+	0.763116i	0.0989255	+	0.995095i	$0.468459\pi$
$38$	−0.0115986	−	0.243484i	−0.00188154	−	0.0394983i
$39$	8.60422	−	8.20411i	1.37778	−	1.31371i
$40$	2.62753	−	2.06631i	0.415449	−	0.326713i
$41$	−6.04331	−	2.75989i	−0.943807	−	0.431022i	−0.116763	−	0.993160i	$-0.537252\pi$
$41$	−6.04331	−	2.75989i	−0.943807	−	0.431022i	−0.827044	+	0.562138i	$0.809979\pi$
$42$	−7.71245	+	4.16177i	−1.19006	+	0.642175i
$43$	1.65102	−	2.56904i	0.251779	−	0.391776i	−0.692240	−	0.721668i	$-0.743376\pi$
$43$	1.65102	−	2.56904i	0.251779	−	0.391776i	0.944019	+	0.329892i	$0.107012\pi$
$44$	−0.0362044	−	0.0125305i	−0.00545802	−	0.00188904i
$45$	1.44405	−	2.50116i	0.215266	−	0.372851i
$46$	−6.80296	+	0.426003i	−1.00304	+	0.0628108i
$47$	3.24051	−	1.87091i	0.472677	−	0.272900i	−0.244683	−	0.969603i	$-0.578684\pi$
$47$	3.24051	−	1.87091i	0.472677	−	0.272900i	0.717360	+	0.696703i	$0.245350\pi$
$48$	7.11518	−	6.16534i	1.02699	−	0.889890i
$49$	5.33547	−	4.53130i	0.762211	−	0.647329i
$50$	0.725951	−	5.04910i	0.102665	−	0.714050i
$51$	−0.292466	−	3.06284i	−0.0409534	−	0.428884i
$52$	−0.0380617	+	0.0950736i	−0.00527821	+	0.0131843i
$53$	8.39499	+	8.80441i	1.15314	+	1.20938i	0.974241	+	0.225511i	$0.0724053\pi$
$53$	8.39499	+	8.80441i	1.15314	+	1.20938i	0.178900	+	0.983867i	$0.442746\pi$
$54$	−0.863102	+	1.67418i	−0.117453	+	0.227828i
$55$	−2.06204	+	0.941703i	−0.278046	+	0.126979i
$56$	−4.49131	+	5.93805i	−0.600177	+	0.793505i
$57$	−0.302072	−	0.261747i	−0.0400104	−	0.0346692i
$58$	3.41681	+	0.658537i	0.448650	+	0.0864701i
$59$	−13.8176	−	3.35212i	−1.79890	−	0.436409i	−0.810180	−	0.586181i	$-0.800631\pi$
$59$	−13.8176	−	3.35212i	−1.79890	−	0.436409i	−0.988721	+	0.149772i	$0.952146\pi$
$60$	−0.00528273	+	0.0553233i	−0.000681998	+	0.00714220i
$61$	−2.91773	−	1.50419i	−0.373577	−	0.192592i	0.261205	−	0.965283i	$-0.415880\pi$
$61$	−2.91773	−	1.50419i	−0.373577	−	0.192592i	−0.634782	+	0.772691i	$0.718910\pi$
$62$	−0.972932	+	3.31350i	−0.123563	+	0.420815i
$63$	−1.69573	+	6.20522i	−0.213642	+	0.781785i
$64$	3.28930	−	7.20255i	0.411162	−	0.900319i
$65$	2.25212	+	5.62552i	0.279341	+	0.697760i
$66$	−5.61859	+	2.89658i	−0.691600	+	0.356545i
$67$	−0.785669	−	4.07644i	−0.0959847	−	0.498016i	−0.997823	−	0.0659431i	$-0.978994\pi$
$67$	−0.785669	−	4.07644i	−0.0959847	−	0.498016i	0.901839	−	0.432073i	$-0.142218\pi$
$68$	0.0132517	+	0.0229527i	0.00160701	+	0.00278342i
$69$	−7.19226	+	8.55526i	−0.865846	+	1.02993i
$70$	−0.508282	−	4.43779i	−0.0607513	−	0.530417i
$71$	−4.18345	−	4.82796i	−0.496485	−	0.572974i	0.451102	−	0.892472i	$-0.351031\pi$
$71$	−4.18345	−	4.82796i	−0.496485	−	0.572974i	−0.947587	+	0.319499i	$0.896486\pi$
$72$	0.325553	−	6.83420i	0.0383668	−	0.805419i
$73$	−9.73744	+	12.3822i	−1.13968	+	1.44922i	−0.265180	+	0.964199i	$0.585432\pi$
$73$	−9.73744	+	12.3822i	−1.13968	+	1.44922i	−0.874501	+	0.485024i	$0.838811\pi$
$74$	−9.26480	+	6.59744i	−1.07701	+	0.766936i
$75$	−5.17044	−	6.57475i	−0.597031	−	0.759186i
$76$	0.00330356		0.000970011i	0.000378944		0.000111268i
$77$	3.90939	−	3.19538i	0.445516	−	0.364147i
$78$	7.01938	+	15.3703i	0.794788	+	1.74034i
$79$	−7.17490	+	7.52482i	−0.807239	+	0.846608i	−0.990650	−	0.136428i	$-0.956438\pi$
$79$	−7.17490	+	7.52482i	−0.807239	+	0.846608i	0.183411	+	0.983036i	$0.441286\pi$
$80$	1.56948	+	4.53472i	0.175473	+	0.506997i
$81$	3.39581	+	9.81155i	0.377312	+	1.09017i
$82$	6.51616	−	6.83395i	0.719590	−	0.754684i
$83$	−1.95670	−	4.28458i	−0.214776	−	0.470293i	0.771325	−	0.636441i	$-0.219594\pi$
$83$	−1.95670	−	4.28458i	−0.214776	−	0.470293i	−0.986101	+	0.166148i	$0.946867\pi$
$84$	−0.0199212	−	0.122170i	−0.00217358	−	0.0133299i
$85$	1.50469	+	0.441817i	0.163207	+	0.0479218i
$86$	2.68305	+	3.41177i	0.289321	+	0.367901i
$87$	4.64775	−	3.30965i	0.498292	−	0.354832i
$88$	−3.31971	+	4.22136i	−0.353883	+	0.449998i
$89$	0.570454	−	11.9753i	0.0604680	−	1.26938i	−0.741067	−	0.671431i	$-0.765680\pi$
$89$	0.570454	−	11.9753i	0.0604680	−	1.26938i	0.801535	−	0.597948i	$-0.204017\pi$
$90$	2.68809	+	3.10222i	0.283350	+	0.327003i
$91$	−8.03456	−	10.8447i	−0.842251	−	1.13683i
$92$	0.0257415	−	0.0927725i	0.00268374	−	0.00967220i
$93$	2.83130	+	4.90395i	0.293592	+	0.508516i
$94$	1.00648	+	5.22212i	0.103811	+	0.538620i
$95$	0.181077	−	0.0933518i	0.0185781	−	0.00957769i
$96$	0.0983609	+	0.245694i	0.0100389	+	0.0250760i
$97$	4.07156	−	8.91547i	0.413404	−	0.905229i	−0.582329	−	0.812953i	$-0.697858\pi$
$97$	4.07156	−	8.91547i	0.413404	−	0.905229i	0.995733	−	0.0922761i	$-0.0294142\pi$
$98$	3.60585	+	9.27262i	0.364246	+	0.936676i
$99$	−1.30723	+	4.45202i	−0.131382	+	0.447445i
$100$	0.0640406	+	0.0330152i	0.00640406	+	0.00330152i
$101$	0.821461	−	8.60273i	0.0817385	−	0.856004i	−0.857896	−	0.513824i	$-0.828229\pi$
$101$	0.821461	−	8.60273i	0.0817385	−	0.856004i	0.939634	−	0.342180i	$-0.111165\pi$
$102$	4.24973	+	1.03097i	0.420786	+	0.102082i
$103$	−9.20887	−	1.77486i	−0.907377	−	0.174883i	−0.285849	−	0.958275i	$-0.592276\pi$
$103$	−9.20887	−	1.77486i	−0.907377	−	0.174883i	−0.621528	+	0.783392i	$0.713488\pi$
$104$	10.8490	+	9.40070i	1.06383	+	0.921814i
$105$	−5.84156	−	4.41833i	−0.570078	−	0.431185i
$106$	−15.7279	+	7.18269i	−1.52763	+	0.697645i
$107$	−0.494014	+	0.958254i	−0.0477582	+	0.0926379i	−0.911507	−	0.411285i	$-0.865080\pi$
$107$	−0.494014	+	0.958254i	−0.0477582	+	0.0926379i	0.863749	+	0.503923i	$0.168110\pi$
$108$	−0.0183594	−	0.0192548i	−0.00176663	−	0.00185279i
$109$	3.90727	−	9.75990i	0.374249	−	0.934828i	−0.614992	−	0.788533i	$-0.710841\pi$
$109$	3.90727	−	9.75990i	0.374249	−	0.934828i	0.989241	−	0.146295i	$-0.0467349\pi$
$110$	−0.306264	−	3.20734i	−0.0292011	−	0.305808i
$111$	−2.65415	+	18.4600i	−0.251920	+	1.75215i
$112$	−5.94681	−	8.88101i	−0.561921	−	0.839177i
$113$	−14.7235	+	12.7580i	−1.38507	+	1.20017i	−0.430351	+	0.902662i	$0.641610\pi$
$113$	−14.7235	+	12.7580i	−1.38507	+	1.20017i	−0.954719	+	0.297508i	$0.903844\pi$
$114$	0.491980	−	0.284045i	0.0460781	−	0.0266032i
$115$	−2.68575	−	5.02392i	−0.250448	−	0.468483i
$116$	−0.0245747	+	0.0425647i	−0.00228171	+	0.00395203i
$117$	11.7208	+	4.05662i	1.08359	+	0.375035i
$118$	10.9256	−	17.0005i	1.00578	−	1.56502i
$119$	−3.49149	−	0.100449i	−0.320065	−	0.00920811i
$120$	7.08624	+	3.23618i	0.646882	+	0.295421i
$121$	−5.78380	+	4.54843i	−0.525800	+	0.413494i
$122$	3.37665	−	3.21963i	0.305708	−	0.291492i
$123$	−0.736725	−	15.4658i	−0.0664282	−	1.39450i
$124$	−0.0397333	−	0.0282939i	−0.00356815	−	0.00254087i
$125$	9.78922	−	2.87437i	0.875575	−	0.257092i
$126$	−7.54611	−	5.16213i	−0.672260	−	0.459879i
$127$	11.7698	−	13.5831i	1.04441	−	1.20531i	0.0661698	−	0.997808i	$-0.478922\pi$
$127$	11.7698	−	13.5831i	1.04441	−	1.20531i	0.978235	−	0.207499i	$-0.0665325\pi$
$128$	8.30923	+	7.92283i	0.734439	+	0.700286i
$129$	7.08480	+	0.676516i	0.623782	+	0.0595640i
$130$	−8.60269	+	0.409796i	−0.754505	+	0.0359415i
$131$	1.29362	−	0.313828i	0.113024	−	0.0274193i	−0.178848	−	0.983877i	$-0.557237\pi$
$131$	1.29362	−	0.313828i	0.113024	−	0.0274193i	0.291872	+	0.956457i	$0.405722\pi$
$132$	−0.0127067	−	0.0883771i	−0.00110598	−	0.00769224i
$133$	−0.337272	+	0.303558i	−0.0292452	+	0.0263218i
$134$	5.84038	+	0.839720i	0.504532	+	0.0725408i
$135$	−1.57242	−	0.0749038i	−0.135333	−	0.00644669i
$136$	3.64799	−	0.703093i	0.312813	−	0.0602897i
$137$	13.4457	+	7.76286i	1.14874	+	0.663226i	0.948580	−	0.316537i	$-0.102520\pi$
$137$	13.4457	+	7.76286i	1.14874	+	0.663226i	0.200161	+	0.979763i	$0.435853\pi$
$138$	−8.14739	−	13.6371i	−0.693552	−	1.16087i
$139$			12.2983i			1.04313i	0.853212	+	0.521564i	$0.174651\pi$
$139$			12.2983i			1.04313i	−0.853212	+	0.521564i	$0.825349\pi$
$140$	0.0615828	+	0.0137169i	0.00520470	+	0.00115929i
$141$	7.33608	+	4.71461i	0.617809	+	0.397042i
$142$	8.42927	−	3.37457i	0.707368	−	0.283188i
$143$	−5.64699	−	7.93009i	−0.472225	−	0.663148i
$144$	9.11847	+	3.65049i	0.759873	+	0.304207i
$145$	0.685630	+	2.82620i	0.0569384	+	0.234703i
$146$	−12.1042	−	18.8346i	−1.00175	−	1.55876i
$147$	15.0842	+	6.21317i	1.24412	+	0.512454i
$148$	−0.0452604	−	0.154143i	−0.00372039	−	0.0126705i
$149$	3.48948	−	18.1051i	0.285869	−	1.48323i	−0.500642	−	0.865655i	$-0.666903\pi$
$149$	3.48948	−	18.1051i	0.285869	−	1.48323i	0.786511	−	0.617576i	$-0.211885\pi$
$150$	11.2342	−	3.88820i	0.917271	−	0.317470i
$151$	−2.66898	+	11.0017i	−0.217199	+	0.895305i	0.753969	+	0.656909i	$0.228137\pi$
$151$	−2.66898	+	11.0017i	−0.217199	+	0.895305i	−0.971168	+	0.238396i	$0.923379\pi$
$152$	0.279951	−	0.393136i	0.0227070	−	0.0318875i
$153$	2.70033	−	1.73539i	0.218308	−	0.140298i
$154$	2.47447	+	6.73620i	0.199398	+	0.542818i
$155$	−2.85682	+	0.410748i	−0.229465	+	0.0329921i
$156$	−0.237587	+	0.0226868i	−0.0190222	+	0.00181640i
$157$	1.65281	+	1.29978i	0.131908	+	0.103734i	0.681933	−	0.731414i	$-0.261139\pi$
$157$	1.65281	+	1.29978i	0.131908	+	0.103734i	−0.550025	+	0.835148i	$0.685382\pi$
$158$	−6.77144	−	13.1348i	−0.538707	−	1.04495i
$159$	−9.27285	+	26.7921i	−0.735385	+	2.12475i
$160$	−0.134891			−0.0106641
$161$	8.62835	+	9.30331i	0.680009	+	0.733203i
$162$	−14.7567			−1.15940
$163$	0.0312039	−	0.0901578i	0.00244408	−	0.00706171i	−0.943772	−	0.330597i	$-0.892750\pi$
$163$	0.0312039	−	0.0901578i	0.00244408	−	0.00706171i	0.946216	+	0.323535i	$0.104871\pi$
$164$	0.0611154	+	0.118547i	0.00477231	+	0.00925699i
$165$	−4.15277	−	3.26577i	−0.323293	−	0.254240i
$166$	6.66431	−	0.636364i	0.517250	−	0.0493914i
$167$	0.570694	−	0.0820534i	0.0441616	−	0.00634948i	−0.120199	−	0.992750i	$-0.538353\pi$
$167$	0.570694	−	0.0820534i	0.0441616	−	0.00634948i	0.164360	+	0.986400i	$0.447444\pi$
$168$	−17.0967	−	2.96225i	−1.31904	−	0.228543i
$169$	−10.9556	+	7.04076i	−0.842741	+	0.541597i
$170$	−1.29288	+	1.81560i	−0.0991597	+	0.139250i
$171$	0.0983093	−	0.405236i	0.00751790	−	0.0309892i
$172$	−0.0579346	+	0.0200514i	−0.00441747	+	0.00152890i
$173$	−1.72651	+	8.95801i	−0.131264	+	0.681065i	0.855357	+	0.518039i	$0.173338\pi$
$173$	−1.72651	+	8.95801i	−0.131264	+	0.681065i	−0.986622	+	0.163026i	$0.947874\pi$
$174$	2.28472	+	7.78103i	0.173204	+	0.589878i
$175$	−8.13253	+	4.90186i	−0.614762	+	0.370546i
$176$	−4.16803	−	6.48559i	−0.314177	−	0.488869i
$177$	−7.81220	−	32.2023i	−0.587201	−	2.42047i
$178$	15.8191	+	6.33302i	1.18569	+	0.474680i
$179$	−7.14675	−	10.0362i	−0.534173	−	0.750141i	0.456001	−	0.889979i	$-0.349281\pi$
$179$	−7.14675	−	10.0362i	−0.534173	−	0.750141i	−0.990174	+	0.139838i	$0.955342\pi$
$180$	−0.0538261	+	0.0215487i	−0.00401196	+	0.00160615i
$181$	−0.668463	−	0.429595i	−0.0496865	−	0.0319316i	0.515562	−	0.856852i	$-0.327583\pi$
$181$	−0.668463	−	0.429595i	−0.0496865	−	0.0319316i	−0.565248	+	0.824921i	$0.691220\pi$
$182$	18.3007	−	5.75016i	1.35654	−	0.426231i
$183$		−	7.65029i		−	0.565525i
$184$	−11.1090	−	7.66320i	−0.818967	−	0.564938i
$185$	−8.23219	−	4.75286i	−0.605242	−	0.349437i
$186$	−7.90277	+	1.52313i	−0.579459	+	0.111682i
$187$	−2.51662	−	0.119881i	−0.184033	−	0.00876659i
$188$	−0.0743534	−	0.0106904i	−0.00542278	−	0.000779678i
$189$	3.42981	−	0.728306i	0.249482	−	0.0529764i
$190$	0.0412075	+	0.286605i	0.00298951	+	0.0207925i
$191$	0.0212736	−	0.00516092i	0.00153930	−	0.000373431i	−0.234989	−	0.971998i	$-0.575505\pi$
$191$	0.0212736	−	0.00516092i	0.00153930	−	0.000373431i	0.236529	+	0.971625i	$0.423990\pi$
$192$	18.4324	−	0.878045i	1.33025	−	0.0633674i
$193$	−2.71815	−	0.259551i	−0.195656	−	0.0186829i	−0.00323226	−	0.999995i	$-0.501029\pi$
$193$	−2.71815	−	0.259551i	−0.195656	−	0.0186829i	−0.192424	+	0.981312i	$0.561635\pi$
$194$	10.0819	+	9.61305i	0.723837	+	0.690177i
$195$	−9.24795	+	10.6727i	−0.662259	+	0.764288i
$196$	−0.140427	+	0.00529331i	−0.0100305	+	0.000378093i
$197$	2.60966	−	0.766265i	0.185930	−	0.0545941i	−0.187442	−	0.982276i	$-0.560020\pi$
$197$	2.60966	−	0.766265i	0.185930	−	0.0545941i	0.373372	+	0.927682i	$0.378201\pi$
$198$	−5.37194	−	3.82534i	−0.381767	−	0.271855i
$199$	1.06297	+	22.3144i	0.0753517	+	1.58183i	0.647752	+	0.761852i	$0.275709\pi$
$199$	1.06297	+	22.3144i	0.0753517	+	1.58183i	−0.572400	+	0.819975i	$0.693988\pi$
$200$	7.30945	−	6.96955i	0.516856	−	0.492821i
$201$	7.60513	−	5.98074i	0.536424	−	0.421849i
$202$	11.1727	+	5.10239i	0.786106	+	0.359003i
$203$	−3.07608	−	5.70049i	−0.215899	−	0.400096i
$204$	−0.0333938	+	0.0519617i	−0.00233803	+	0.00363805i
$205$	7.45771	+	2.58114i	0.520869	+	0.180274i
$206$	6.66469	−	11.5436i	0.464351	−	0.804280i
$207$	−11.3715	−	2.57945i	−0.790371	−	0.179284i
$208$	−17.8469	+	10.3039i	−1.23746	+	0.714449i
$209$	−0.247357	+	0.214336i	−0.0171101	+	0.0148260i
$210$	8.64988	−	5.79204i	0.596898	−	0.399688i
$211$	0.736082	−	5.11956i	0.0506740	−	0.352445i	−0.948671	−	0.316264i	$-0.897571\pi$
$211$	0.736082	−	5.11956i	0.0506740	−	0.352445i	0.999345	−	0.0361814i	$-0.0115194\pi$
$212$	−0.0232146	−	0.243115i	−0.00159439	−	0.0166972i
$213$	5.53336	−	13.8217i	0.379139	−	0.947044i
$214$	−1.05741	−	1.10898i	−0.0722828	−	0.0758080i
$215$	−1.66222	+	3.22426i	−0.113363	+	0.219893i
$216$	−3.39232	+	1.54922i	−0.230818	+	0.105411i
$217$	5.92196	−	2.50124i	0.402009	−	0.169795i
$218$	11.2924	+	9.78493i	0.764819	+	0.662719i
$219$	−36.0478	−	6.94764i	−2.43588	−	0.469478i
$220$	0.0442257	+	0.0107290i	0.00298170	+	0.000723352i
$221$	−0.640177	+	6.70424i	−0.0430630	+	0.450976i
$222$	−23.5602	−	12.1462i	−1.58126	−	0.815196i
$223$	−4.65903	+	15.8672i	−0.311992	+	1.06255i	0.642988	+	0.765876i	$0.277694\pi$
$223$	−4.65903	+	15.8672i	−0.311992	+	1.06255i	−0.954980	+	0.296670i	$0.904124\pi$
$224$	0.290592	−	0.0763207i	0.0194160	−	0.00509939i
$225$	3.62496	−	7.93755i	0.241664	−	0.529170i
$226$	−10.2912	−	25.7061i	−0.684560	−	1.70995i
$227$	9.98107	−	5.14560i	0.662467	−	0.341525i	−0.0939860	−	0.995574i	$-0.529961\pi$
$227$	9.98107	−	5.14560i	0.662467	−	0.341525i	0.756453	+	0.654048i	$0.226931\pi$
$228$	0.00151856	+	0.00787905i	0.000100569	+	0.000521803i
$229$	12.2621	+	21.2386i	0.810302	+	1.40348i	0.912653	+	0.408736i	$0.134030\pi$
$229$	12.2621	+	21.2386i	0.810302	+	1.40348i	−0.102350	+	0.994748i	$0.532636\pi$
$230$	7.99624	−	1.27188i	0.527257	−	0.0838654i
$231$	10.7940	+	4.68575i	0.710190	+	0.308300i
$232$	4.51169	+	5.20676i	0.296207	+	0.341841i
$233$	−1.25247	+	26.2926i	−0.0820522	+	1.72249i	0.464934	+	0.885345i	$0.346078\pi$
$233$	−1.25247	+	26.2926i	−0.0820522	+	1.72249i	−0.546986	+	0.837142i	$0.684225\pi$
$234$	−10.8971	+	13.8568i	−0.712365	+	0.905845i
$235$	−3.62058	+	2.57821i	−0.236181	+	0.168184i
$236$	0.176446	+	0.224370i	0.0114857	+	0.0146052i
$237$	−23.2494	−	6.82665i	−1.51021	−	0.443439i
$238$	1.75797	−	4.64281i	0.113952	−	0.300949i
$239$	−3.61052	−	7.90594i	−0.233545	−	0.511393i	0.756182	−	0.654362i	$-0.227063\pi$
$239$	−3.61052	−	7.90594i	−0.233545	−	0.511393i	−0.989727	+	0.142968i	$0.954335\pi$
$240$	−7.71740	+	8.09377i	−0.498156	+	0.522451i
$241$	8.10951	+	23.4309i	0.522380	+	1.50932i	0.829976	+	0.557800i	$0.188354\pi$
$241$	8.10951	+	23.4309i	0.522380	+	1.50932i	−0.307596	+	0.951517i	$0.599525\pi$
$242$	−3.42045	−	9.88275i	−0.219875	−	0.635287i
$243$	−13.9542	+	14.6347i	−0.895161	+	0.938818i
$244$	0.0273758	+	0.0599447i	0.00175256	+	0.00383756i
$245$	−5.79744	+	5.96061i	−0.370385	+	0.380809i
$246$	21.1149	+	6.19989i	1.34624	+	0.395291i
$247$	0.540826	+	0.687716i	0.0344119	+	0.0437583i
$248$	−5.56962	+	3.96611i	−0.353671	+	0.251848i
$249$	6.78572	−	8.62875i	0.430028	−	0.546825i
$250$	−0.689973	+	14.4843i	−0.0436377	+	0.916068i
$251$	1.85779	+	2.14400i	0.117263	+	0.135328i	0.811346	−	0.584567i	$-0.198735\pi$
$251$	1.85779	+	2.14400i	0.117263	+	0.135328i	−0.694083	+	0.719895i	$0.744190\pi$
$252$	0.103764	−	0.0768763i	0.00653651	−	0.00484275i
$253$	6.09616	+	6.82657i	0.383262	+	0.429183i
$254$	12.7725	+	22.1226i	0.801417	+	1.38810i
$255$	0.691669	+	3.58872i	0.0433140	+	0.224734i
$256$	−0.428203	+	0.220754i	−0.0267627	+	0.0137971i
$257$	−1.13346	−	2.83124i	−0.0707030	−	0.176608i	0.888807	−	0.458281i	$-0.151535\pi$
$257$	−1.13346	−	2.83124i	−0.0707030	−	0.176608i	−0.959510	+	0.281674i	$0.909110\pi$
$258$	−4.20208	+	9.20128i	−0.261610	+	0.572847i
$259$	20.4235	+	5.58122i	1.26906	+	0.346800i
$260$	0.0342721	−	0.116720i	0.00212546	−	0.00723867i
$261$	5.29086	+	2.72763i	0.327496	+	0.168836i
$262$	−0.179840	+	1.88337i	−0.0111106	+	0.116355i
$263$	9.39507	+	2.27922i	0.579325	+	0.140543i	0.514705	−	0.857367i	$-0.327901\pi$
$263$	9.39507	+	2.27922i	0.579325	+	0.140543i	0.0646198	+	0.997910i	$0.479417\pi$
$264$	−12.2895	−	2.36861i	−0.756367	−	0.145778i
$265$	−10.9210	−	9.46311i	−0.670873	−	0.581314i
$266$	−0.250932	−	0.594109i	−0.0153856	−	0.0364272i
$267$	25.4155	−	11.6069i	1.55540	−	0.710328i
$268$	−0.0381893	+	0.0740770i	−0.00233278	+	0.00452497i
$269$	10.6595	+	11.1794i	0.649921	+	0.681618i	0.963428	−	0.267968i	$-0.0863522\pi$
$269$	10.6595	+	11.1794i	0.649921	+	0.681618i	−0.313506	+	0.949586i	$0.601504\pi$
$270$	0.831562	−	2.07714i	0.0506072	−	0.126411i
$271$	−1.64934	−	17.2726i	−0.100190	−	1.04924i	−0.896109	−	0.443834i	$-0.853618\pi$
$271$	−1.64934	−	17.2726i	−0.100190	−	1.04924i	0.795919	−	0.605404i	$-0.206988\pi$
$272$	−0.759007	+	5.27901i	−0.0460216	+	0.320087i
$273$	13.8840	−	28.2243i	0.840301	−	1.70821i
$274$	−16.6768	+	14.4506i	−1.00748	+	0.872990i
$275$	−5.93160	+	3.42461i	−0.357689	+	0.206512i
$276$	0.219664	−	0.0457502i	0.0132222	−	0.00275384i
$277$	−12.8998	+	22.3431i	−0.775072	+	1.34246i	0.159682	+	0.987169i	$0.448953\pi$
$277$	−12.8998	+	22.3431i	−0.775072	+	1.34246i	−0.934754	+	0.355296i	$0.884380\pi$
$278$	−16.5181	−	5.71698i	−0.990691	−	0.342882i
$279$	−3.19388	+	4.96977i	−0.191212	+	0.297532i
$280$	4.64039	−	7.52874i	0.277317	−	0.449928i
$281$	−11.0487	−	5.04578i	−0.659111	−	0.301006i	0.0576376	−	0.998338i	$-0.481643\pi$
$281$	−11.0487	−	5.04578i	−0.659111	−	0.301006i	−0.716749	+	0.697332i	$0.754370\pi$
$282$	−9.74255	+	7.66163i	−0.580160	+	0.456243i
$283$	19.3972	−	18.4952i	1.15304	−	1.09942i	0.159358	−	0.987221i	$-0.449058\pi$
$283$	19.3972	−	18.4952i	1.15304	−	1.09942i	0.993685	−	0.112203i	$-0.0357908\pi$
$284$	0.00610224	+	0.128102i	0.000362101	+	0.00760144i
$285$	0.386748	+	0.275402i	0.0229090	+	0.0163134i
$286$	13.2762	−	3.89823i	0.785035	−	0.230507i
$287$	−17.5263	−	1.34094i	−1.03455	−	0.0791534i
$288$	−0.180807	+	0.208663i	−0.0106542	+	0.0122956i
$289$	−11.0421	−	10.5286i	−0.649532	−	0.619328i
$290$	−4.11466	−	0.392903i	−0.241621	−	0.0230720i
$291$	22.8161	−	1.08686i	1.33750	−	0.0637130i
$292$	0.307318	−	0.0745545i	0.0179844	−	0.00436297i
$293$	−3.66034	−	25.4582i	−0.213839	−	1.48729i	−0.760175	−	0.649719i	$-0.774887\pi$
$293$	−3.66034	−	25.4582i	−0.213839	−	1.48729i	0.546335	−	0.837567i	$-0.316022\pi$
$294$	−15.3571	+	17.3717i	−0.895643	+	1.01314i
$295$	16.7175	+	2.40362i	0.973332	+	0.139944i
$296$	−22.4937	−	1.07151i	−1.30742	−	0.0622801i
$297$	2.48340	−	0.478635i	0.144101	−	0.0277732i
$298$	22.6953	+	13.1032i	1.31470	+	0.759045i
$299$	19.0026	−	15.4087i	1.09895	−	0.891111i
$300$			0.167915i			0.00969455i
$301$	1.75661	−	7.88641i	0.101249	−	0.454565i
$302$	−13.5359	−	8.69901i	−0.778905	−	0.500572i
$303$	18.6974	−	7.48531i	1.07414	−	0.430020i
$304$	0.401887	+	0.564371i	0.0230498	+	0.0323689i
$305$	3.61999	+	1.44923i	0.207280	+	0.0829825i
$306$	1.07558	+	4.43359i	0.0614866	+	0.253451i
$307$	−5.53071	−	8.60595i	−0.315654	−	0.491167i	0.646782	−	0.762675i	$-0.276114\pi$
$307$	−5.53071	−	8.60595i	−0.315654	−	0.491167i	−0.962436	+	0.271507i	$0.912478\pi$
$308$	−0.101345	+	0.00190938i	−0.00577465	+	0.000108797i
$309$	−6.15768	−	20.9711i	−0.350298	−	1.19301i
$310$	0.776333	−	4.02800i	0.0440928	−	0.228775i
$311$	−26.5853	+	9.20125i	−1.50751	+	0.521755i	−0.951028	−	0.309104i	$-0.899971\pi$
$311$	−26.5853	+	9.20125i	−1.50751	+	0.521755i	−0.556483	+	0.830859i	$0.687850\pi$
$312$	−7.88739	+	32.5123i	−0.446535	+	1.84064i
$313$	−16.7543	+	23.5281i	−0.947007	+	1.32989i	−0.00298813	+	0.999996i	$0.500951\pi$
$313$	−16.7543	+	23.5281i	−0.947007	+	1.32989i	−0.944019	+	0.329890i	$0.892988\pi$
$314$	−2.51409	+	1.61571i	−0.141878	+	0.0911798i
$315$	1.30451	−	7.52900i	0.0735008	−	0.424211i
$316$	0.206602	−	0.0297049i	0.0116223	−	0.00167103i
$317$	1.18759	−	0.113401i	0.0667018	−	0.00636925i	−0.0616518	−	0.998098i	$-0.519637\pi$
$317$	1.18759	−	0.113401i	0.0667018	−	0.00636925i	0.128354	+	0.991728i	$0.459031\pi$
$318$	−31.6746	−	24.9092i	−1.77622	−	1.39684i
$319$	−2.14095	−	4.15286i	−0.119870	−	0.232515i
$320$	−3.07626	+	8.88826i	−0.171968	+	0.496869i
$321$	−2.51254			−0.140236
$322$	−16.5065	+	7.26421i	−0.919869	+	0.404819i
$323$	0.226423			0.0125985
$324$	0.0681718	−	0.196969i	0.00378732	−	0.0109427i
$325$	8.38942	+	16.2732i	0.465361	+	0.902675i
$326$	0.106588	+	0.0838215i	0.00590334	+	0.00464244i
$327$	24.3898	−	2.32894i	1.34876	−	0.128791i
$328$	18.5054	−	2.66068i	1.02179	−	0.146911i
$329$	6.34099	−	7.60266i	0.349590	−	0.419148i
$330$	6.31679	−	4.05955i	0.347728	−	0.223471i
$331$	17.4040	−	24.4405i	0.956609	−	1.34337i	0.0174650	−	0.999847i	$-0.494440\pi$
$331$	17.4040	−	24.4405i	0.956609	−	1.34337i	0.939144	−	0.343522i	$-0.111620\pi$
$332$	−0.0222931	+	0.0918936i	−0.00122350	+	0.00504332i
$333$	−18.3866	+	6.36365i	−1.00758	+	0.348726i
$334$	−0.155085	+	0.804655i	−0.00848585	+	0.0440288i
$335$	1.38932	+	4.73158i	0.0759065	+	0.258514i
$336$	12.0460	−	21.8027i	0.657161	−	1.18943i
$337$	−17.3673	−	27.0240i	−0.946056	−	1.47209i	−0.880390	−	0.474251i	$-0.842719\pi$
$337$	−17.3673	−	27.0240i	−0.946056	−	1.47209i	−0.0656662	−	0.997842i	$-0.520917\pi$
$338$	−4.36378	−	17.9877i	−0.237358	−	0.978404i
$339$	−42.1509	−	16.8747i	−2.28932	−	0.916507i
$340$	−0.0182615	−	0.0256447i	−0.000990370	−	0.00139078i
$341$	4.30477	−	1.72337i	0.233116	−	0.0933257i
$342$	0.498583	+	0.320420i	0.0269603	+	0.0173263i
$343$	9.11678	−	16.1209i	0.492260	−	0.870448i
$344$			8.59364i			0.463338i
$345$	7.53868	−	10.9285i	0.405869	−	0.588371i
$346$	−11.2291	−	6.48314i	−0.603681	−	0.348536i
$347$	−16.8759	+	3.25257i	−0.905947	+	0.174607i	−0.620885	−	0.783902i	$-0.713226\pi$
$347$	−16.8759	+	3.25257i	−0.905947	+	0.174607i	−0.285062	+	0.958509i	$0.592014\pi$
$348$	−0.114414	−	0.00545023i	−0.00613325	−	0.000292163i
$349$	20.4691	+	2.94301i	1.09568	+	0.157536i	0.666371	−	0.745620i	$-0.267847\pi$
$349$	20.4691	+	2.94301i	1.09568	+	0.157536i	0.429313	+	0.903156i	$0.358756\pi$
$350$	−2.80332	−	13.2017i	−0.149844	−	0.705659i
$351$	−0.962115	−	6.69166i	−0.0513539	−	0.357174i
$352$	0.210606	−	0.0510924i	0.0112253	−	0.00272323i
$353$	12.1325	−	0.577944i	0.645750	−	0.0307609i	0.277848	−	0.960625i	$-0.410379\pi$
$353$	12.1325	−	0.577944i	0.645750	−	0.0307609i	0.367903	+	0.929864i	$0.380076\pi$
$354$	46.8833	+	4.47681i	2.49182	+	0.237940i
$355$	5.49198	+	5.23659i	0.291484	+	0.277929i
$356$	−0.157612	+	0.181894i	−0.00835341	+	0.00964035i
$357$	−3.52052	−	7.33973i	−0.186326	−	0.388460i
$358$	16.8021	−	4.93354i	0.888019	−	0.260746i
$359$	7.99539	+	5.69349i	0.421981	+	0.300491i	0.771251	−	0.636531i	$-0.219631\pi$
$359$	7.99539	+	5.69349i	0.421981	+	0.300491i	−0.349271	+	0.937022i	$0.613571\pi$
$360$	0.386710	+	8.11805i	0.0203814	+	0.427859i
$361$	−13.7297	+	13.0912i	−0.722614	+	0.689011i
$362$	0.887741	−	0.698127i	0.0466586	−	0.0366928i
$363$	−15.5984	−	7.12357i	−0.818706	−	0.373891i
$364$	−0.00779188	+	0.270838i	−0.000408405	+	0.0141957i
$365$	10.1162	−	15.7411i	0.529506	−	0.823927i
$366$	10.2753	+	3.55631i	0.537097	+	0.185891i
$367$	−6.14793	+	10.6485i	−0.320919	+	0.555849i	−0.980678	−	0.195629i	$-0.937325\pi$
$367$	−6.14793	+	10.6485i	−0.320919	+	0.555849i	0.659759	+	0.751478i	$0.270659\pi$
$368$	15.6119	−	11.4725i	0.813827	−	0.598045i
$369$	13.9890	−	8.07657i	0.728240	−	0.420449i
$370$	10.2105	−	8.84743i	0.530818	−	0.459956i
$371$	28.8810	+	14.2071i	1.49943	+	0.737595i
$372$	0.0161781	−	0.112521i	0.000838794	−	0.00583394i
$373$	1.59500	+	16.7036i	0.0825858	+	0.864878i	0.937932	+	0.346820i	$0.112739\pi$
$373$	1.59500	+	16.7036i	0.0825858	+	0.864878i	−0.855346	+	0.518057i	$0.826655\pi$
$374$	1.33089	−	3.32440i	0.0688187	−	0.171901i
$375$	16.4081	+	17.2084i	0.847312	+	0.888635i
$376$	−4.82498	+	9.35916i	−0.248829	+	0.482662i
$377$	−11.3606	+	5.18822i	−0.585102	+	0.267207i
$378$	−0.616176	+	4.94522i	−0.0316927	+	0.254355i
$379$	−0.0205080	−	0.0177703i	−0.00105343	−	0.000912800i	0.654334	−	0.756206i	$-0.272949\pi$
$379$	−0.0205080	−	0.0177703i	−0.00105343	−	0.000912800i	−0.655387	+	0.755293i	$0.727495\pi$
$380$	−0.00401591		0.000774003i	−0.000206012		3.97055e-5i
$381$	40.7059	+	9.87516i	2.08543	+	0.505920i
$382$	−0.00295749	+	0.0309722i	−0.000151318	+	0.00158468i
$383$	−0.106147	−	0.0547228i	−0.00542388	−	0.00279621i	0.455512	−	0.890229i	$-0.349456\pi$
$383$	−0.106147	−	0.0547228i	−0.00542388	−	0.00279621i	−0.460936	+	0.887433i	$0.652486\pi$
$384$	−7.53829	+	25.6731i	−0.384687	+	1.31012i
$385$	−4.26197	+	4.21988i	−0.217210	+	0.215065i
$386$	1.61217	−	3.53015i	0.0820571	−	0.179680i
$387$	2.75957	+	6.89307i	0.140277	+	0.350394i
$388$	−0.174888	+	0.0901613i	−0.00887862	+	0.00457724i
$389$	−2.66128	−	13.8080i	−0.134932	−	0.700095i	−0.984881	−	0.173230i	$-0.944580\pi$
$389$	−2.66128	−	13.8080i	−0.134932	−	0.700095i	0.849949	−	0.526865i	$-0.176633\pi$
$390$	−10.0358	−	17.3824i	−0.508180	−	0.880194i
$391$	−0.0945811	−	6.33078i	−0.00478317	−	0.320161i
$392$	−5.73695	+	18.8445i	−0.289760	+	0.951789i
$393$	2.03154	+	2.34453i	0.102478	+	0.118266i
$394$	−0.183936	+	3.86130i	−0.00926658	+	0.194529i
$395$	7.63451	−	9.70806i	0.384134	−	0.488466i
$396$	0.0758767	−	0.0540315i	0.00381295	−	0.00271519i
$397$	4.30089	+	5.46902i	0.215855	+	0.274482i	0.881907	−	0.471423i	$-0.156260\pi$
$397$	4.30089	+	5.46902i	0.215855	+	0.274482i	−0.666052	+	0.745905i	$0.732017\pi$
$398$	−30.4651	−	8.94537i	−1.52708	−	0.448391i
$399$	−0.988982	−	0.374471i	−0.0495110	−	0.0187470i
$400$	6.02295	+	13.1884i	0.301148	+	0.659422i
$401$	5.41191	−	5.67585i	0.270258	−	0.283438i	−0.574594	−	0.818439i	$-0.694840\pi$
$401$	5.41191	−	5.67585i	0.270258	−	0.283438i	0.844852	+	0.535000i	$0.179689\pi$
$402$	4.49755	+	12.9948i	0.224318	+	0.648123i
$403$	−4.05395	−	11.7131i	−0.201942	−	0.583472i
$404$	−0.119720	+	0.125559i	−0.00595630	+	0.00624679i
$405$	−5.12332	−	11.2185i	−0.254580	−	0.557452i
$406$	9.08641	−	1.48163i	0.450951	−	0.0735323i
$407$	14.6531	+	4.30255i	0.726329	+	0.213269i
$408$	5.35215	+	6.80581i	0.264971	+	0.336938i
$409$	−8.57597	+	6.10692i	−0.424054	+	0.301968i	−0.772090	−	0.635514i	$-0.780788\pi$
$409$	−8.57597	+	6.10692i	−0.424054	+	0.301968i	0.348035	+	0.937481i	$0.386849\pi$
$410$	−6.93357	+	8.81675i	−0.342425	+	0.435428i
$411$	−1.72166	+	36.1421i	−0.0849233	+	1.78276i
$412$	0.123292	+	0.142287i	0.00607418	+	0.00700998i
$413$	−37.3740	+	4.28064i	−1.83906	+	0.210636i
$414$	8.75065	−	14.0742i	0.430071	−	0.691709i
$415$	2.79754	+	4.84548i	0.137326	+	0.237855i
$416$	−0.109632	−	0.568824i	−0.00537515	−	0.0278889i
$417$	−25.4753	+	13.1335i	−1.24753	+	0.643148i
$418$	−0.172894	−	0.431868i	−0.00845651	−	0.0211233i
$419$	−3.12740	+	6.84805i	−0.152783	+	0.334549i	−0.970511	−	0.241056i	$-0.922506\pi$
$419$	−3.12740	+	6.84805i	−0.152783	+	0.334549i	0.817728	+	0.575605i	$0.195233\pi$
$420$	0.0373509	+	0.142214i	0.00182254	+	0.00693935i
$421$	−9.49817	+	32.3478i	−0.462912	+	1.57653i	0.315592	+	0.948895i	$0.397797\pi$
$421$	−9.49817	+	32.3478i	−0.462912	+	1.57653i	−0.778504	+	0.627640i	$0.784021\pi$
$422$	6.53403	+	3.36853i	0.318072	+	0.163977i
$423$	−0.864790	+	9.05649i	−0.0420475	+	0.440341i
$424$	−33.2687	−	8.07090i	−1.61567	−	0.391957i
$425$	4.65259	+	0.896713i	0.225684	+	0.0434970i
$426$	15.9920	+	13.8571i	0.774813	+	0.671379i
$427$	−8.61841	−	1.07386i	−0.417074	−	0.0519676i
$428$	0.0196873	−	0.00899089i	0.000951622	−	0.000434591i
$429$	10.3963	−	20.1661i	0.501940	−	0.973629i
$430$	−3.55788	−	3.73140i	−0.171576	−	0.179944i
$431$	4.57907	−	11.4380i	0.220566	−	0.550947i	−0.776273	−	0.630397i	$-0.782892\pi$
$431$	4.57907	−	11.4380i	0.220566	−	0.550947i	0.996839	+	0.0794497i	$0.0253163\pi$
$432$	−0.508900	−	5.32944i	−0.0244844	−	0.256413i
$433$	−1.69647	+	11.7992i	−0.0815269	+	0.567032i	0.907585	+	0.419868i	$0.137924\pi$
$433$	−1.69647	+	11.7992i	−0.0815269	+	0.567032i	−0.989112	+	0.147164i	$0.952985\pi$
$434$	0.606586	+	9.11665i	0.0291171	+	0.437613i
$435$	−5.12216	+	4.43838i	−0.245589	+	0.212804i
$436$	−0.182775	+	0.105525i	−0.00875333	+	0.00505374i
$437$	−0.576428	−	0.586735i	−0.0275743	−	0.0280673i
$438$	26.0887	−	45.1869i	1.24657	−	2.15912i
$439$	25.5138	+	8.83040i	1.21771	+	0.421452i	0.858989	−	0.511994i	$-0.171093\pi$
$439$	25.5138	+	8.83040i	1.21771	+	0.421452i	0.358717	+	0.933446i	$0.383214\pi$
$440$	3.44884	−	5.36650i	0.164417	−	0.255838i
$441$	1.44960	+	16.9576i	0.0690286	+	0.807505i
$442$	−8.70702	−	3.97636i	−0.414151	−	0.189136i
$443$	−2.85228	+	2.24305i	−0.135516	+	0.106571i	−0.683616	−	0.729842i	$-0.739594\pi$
$443$	−2.85228	+	2.24305i	−0.135516	+	0.106571i	0.548100	+	0.836413i	$0.315351\pi$
$444$	0.270966	−	0.258366i	0.0128595	−	0.0122615i
$445$	0.677617	+	14.2249i	0.0321221	+	0.674327i
$446$	−19.1458	−	13.6337i	−0.906581	−	0.645573i
$447$	41.2304	−	12.1063i	1.95013	−	0.572610i
$448$	1.59817	−	20.8883i	0.0755063	−	0.986878i
$449$	6.23209	−	7.19222i	0.294111	−	0.339422i	−0.589393	−	0.807847i	$-0.700633\pi$
$449$	6.23209	−	7.19222i	0.294111	−	0.339422i	0.883503	+	0.468425i	$0.155178\pi$
$450$	8.97602	+	8.55861i	0.423133	+	0.403457i
$451$	−12.6214	−	1.20519i	−0.594317	−	0.0567504i
$452$	0.390663	−	0.0186096i	0.0183752	−	0.000875320i
$453$	−25.6397	+	6.22013i	−1.20466	+	0.292247i
$454$	2.27138	+	15.7978i	0.106601	+	0.741427i
$455$	10.7252	+	11.9164i	0.502805	+	0.558648i
$456$	1.11333	+	0.160072i	0.0521362	+	0.00749606i
$457$	−11.4435	−	0.545123i	−0.535306	−	0.0254998i	−0.221811	−	0.975090i	$-0.571197\pi$
$457$	−11.4435	−	0.545123i	−0.535306	−	0.0254998i	−0.313495	+	0.949590i	$0.601500\pi$
$458$	−34.2262	+	6.59656i	−1.59928	+	0.308237i
$459$	−1.51520	−	0.874802i	−0.0707235	−	0.0408323i
$460$	−0.0199636	+	0.112608i	−0.000930806	+	0.00525037i
$461$		−	4.84217i		−	0.225523i	−0.993622	−	0.112761i	$-0.964030\pi$
$461$		−	4.84217i		−	0.225523i	0.993622	−	0.112761i	$-0.0359695\pi$
$462$	−11.3112	+	12.3194i	−0.526245	+	0.573150i
$463$	1.52462	+	0.979811i	0.0708549	+	0.0455357i	0.575589	−	0.817739i	$-0.304773\pi$
$463$	1.52462	+	0.979811i	0.0708549	+	0.0455357i	−0.504734	+	0.863275i	$0.668409\pi$
$464$	−9.18189	+	3.67587i	−0.426258	+	0.170648i
$465$	−3.90167	−	5.47912i	−0.180935	−	0.254088i
$466$	−34.7320	−	13.9046i	−1.60893	−	0.644118i
$467$	−4.91266	−	20.2503i	−0.227331	−	0.937071i	−0.965071	−	0.261987i	$-0.915622\pi$
$467$	−4.91266	−	20.2503i	−0.227331	−	0.937071i	0.737740	−	0.675084i	$-0.235893\pi$
$468$	−0.134616	−	0.209466i	−0.00622262	−	0.00968259i
$469$	−5.67007	−	9.40705i	−0.261820	−	0.434377i
$470$	−1.77979	−	6.06139i	−0.0820954	−	0.279591i
$471$	−0.927392	+	4.81177i	−0.0427320	+	0.221715i
$472$	37.8108	−	13.0864i	1.74038	−	0.602352i
$473$	1.37398	−	5.66363i	0.0631757	−	0.260414i
$474$	19.9768	−	28.0534i	0.917563	−	1.28854i
$475$	0.517820	−	0.332783i	0.0237592	−	0.0152691i
$476$	0.0538500	+	0.0449135i	0.00246821	+	0.00205861i
$477$	−29.2769	+	4.20939i	−1.34050	+	0.192735i
$478$	12.2970	−	1.17423i	0.562454	−	0.0537078i
$479$	11.4927	+	9.03796i	0.525115	+	0.412955i	0.845213	−	0.534429i	$-0.179473\pi$
$479$	11.4927	+	9.03796i	0.525115	+	0.412955i	−0.320098	+	0.947384i	$0.603716\pi$
$480$	−0.144051	−	0.279421i	−0.00657502	−	0.0127538i
$481$	13.3517	−	38.5773i	0.608786	−	1.75897i
$482$	−35.2404			−1.60515
$483$	−10.0571	+	27.8083i	−0.457613	+	1.26532i
$484$	0.147714			0.00671429
$485$	−3.80786	+	11.0021i	−0.172906	+	0.499579i
$486$	−13.1695	−	25.5453i	−0.597381	−	1.15876i
$487$	−2.78476	−	2.18996i	−0.126190	−	0.0992366i	0.553070	−	0.833135i	$-0.313456\pi$
$487$	−2.78476	−	2.18996i	−0.126190	−	0.0992366i	−0.679259	+	0.733898i	$0.737699\pi$
$488$	9.19571	−	0.878084i	0.416270	−	0.0397490i
$489$	0.220081	−	0.0316428i	0.00995239	−	0.00143094i
$490$	−5.31084	−	10.5575i	−0.239919	−	0.476940i
$491$	−26.7802	+	17.2106i	−1.20857	+	0.776702i	−0.980419	−	0.196923i	$-0.936905\pi$
$491$	−26.7802	+	17.2106i	−1.20857	+	0.776702i	−0.228153	+	0.973625i	$0.573269\pi$
$492$	−0.180300	+	0.253195i	−0.00812854	+	0.0114149i
$493$	−0.762022	+	3.14110i	−0.0343197	+	0.141468i
$494$	−1.17510	+	0.406705i	−0.0528701	+	0.0182985i
$495$	1.04308	−	5.41202i	0.0468830	−	0.243252i
$496$	−2.76537	−	9.41798i	−0.124169	−	0.422880i
$497$	−14.7941	−	8.17371i	−0.663604	−	0.366641i
$498$	8.43507	+	13.1252i	0.377984	+	0.588155i
$499$	3.40215	+	14.0238i	0.152301	+	0.627794i	0.995871	+	0.0907750i	$0.0289344\pi$
$499$	3.40215	+	14.0238i	0.152301	+	0.627794i	−0.843570	+	0.537019i	$0.819550\pi$
$500$	−0.190146	−	0.0761230i	−0.00850359	−	0.00340433i
$501$	0.779418	+	1.09454i	0.0348219	+	0.0489004i
$502$	−3.74327	+	1.49858i	−0.167070	+	0.0668849i
$503$	35.1819	+	22.6100i	1.56868	+	1.00813i	0.979816	+	0.199903i	$0.0640628\pi$
$503$	35.1819	+	22.6100i	1.56868	+	1.00813i	0.588868	+	0.808229i	$0.299574\pi$
$504$	−5.42623	−	17.2697i	−0.241703	−	0.769253i
$505$			10.2653i			0.456799i
$506$	−12.0028	+	5.01450i	−0.533589	+	0.222922i
$507$	−26.2842	−	15.1752i	−1.16732	−	0.673955i
$508$	−0.354293	+	0.0682844i	−0.0157192	+	0.00302963i
$509$	−24.5407	−	1.16902i	−1.08775	−	0.0518157i	−0.503963	−	0.863725i	$-0.668125\pi$
$509$	−24.5407	−	1.16902i	−1.08775	−	0.0518157i	−0.583783	+	0.811910i	$0.698428\pi$
$510$	−5.14162	−	0.739253i	−0.227675	−	0.0327347i
$511$	−12.8868	+	39.6343i	−0.570079	+	1.75332i
$512$	3.17040	+	22.0506i	0.140113	+	0.974510i
$513$	−0.220881	+	0.0535852i	−0.00975215	+	0.00236585i
$514$	4.32960	−	0.206244i	0.190970	−	0.00909704i
$515$	11.0897	+	1.05894i	0.488670	+	0.0466623i
$516$	−0.103404	−	0.0985958i	−0.00455212	−	0.00434044i
$517$	4.67627	−	5.39671i	0.205662	−	0.237347i
$518$	−16.9903	+	24.8368i	−0.746512	+	1.09127i
$519$	−20.3999	+	5.98994i	−0.895455	+	0.262929i
$520$	−13.8901	−	9.89112i	−0.609123	−	0.433754i
$521$	0.354064	+	7.43272i	0.0155118	+	0.325633i	0.993264	+	0.115871i	$0.0369659\pi$
$521$	0.354064	+	7.43272i	0.0155118	+	0.325633i	−0.977752	+	0.209762i	$0.932731\pi$
$522$	−6.12305	+	5.83832i	−0.267999	+	0.255536i
$523$	4.52736	−	3.56036i	0.197968	−	0.155683i	−0.514254	−	0.857638i	$-0.671931\pi$
$523$	4.52736	−	3.56036i	0.197968	−	0.155683i	0.712222	+	0.701954i	$0.247689\pi$
$524$	−0.0243081	−	0.0111011i	−0.00106190	−	0.000484955i
$525$	−18.8388	−	11.6114i	−0.822192	−	0.506764i
$526$	−7.42866	+	11.5592i	−0.323905	+	0.504006i
$527$	−3.03135	−	1.04916i	−0.132048	−	0.0457021i
$528$	8.98351	−	15.5599i	0.390957	−	0.677158i
$529$	−16.1643	+	16.3620i	−0.702796	+	0.711391i
$530$	17.7869	−	10.2693i	0.772612	−	0.446068i
$531$	26.1262	−	22.6385i	1.13378	−	0.982428i
$532$	0.00908928		0.000604765i	0.000394070		2.62199e-5i
$533$	−4.82323	+	33.5463i	−0.208917	+	1.45305i
$534$	3.77482	+	39.5317i	0.163352	+	1.71070i
$535$	0.475962	−	1.18889i	0.0205776	−	0.0514004i
$536$	8.06180	+	8.45497i	0.348217	+	0.365199i
$537$	13.1575	−	25.5219i	0.567787	−	1.10135i
$538$	−19.9704	+	9.12019i	−0.860987	+	0.393199i
$539$	6.79385	−	11.5022i	0.292632	−	0.495434i
$540$	0.0238837	+	0.0206953i	0.00102779	+	0.000890584i
$541$	−16.3513	−	3.15145i	−0.702997	−	0.135492i	−0.174788	−	0.984606i	$-0.555924\pi$
$541$	−16.3513	−	3.15145i	−0.702997	−	0.135492i	−0.528209	+	0.849114i	$0.677136\pi$
$542$	23.9660	+	5.81409i	1.02943	+	0.249736i
$543$	0.176029	−	1.84346i	0.00755413	−	0.0791104i
$544$	−0.133255	−	0.0686976i	−0.00571325	−	0.00294539i
$545$	−3.51824	+	11.9820i	−0.150705	+	0.513254i
$546$	31.4546	+	31.7683i	1.34613	+	1.35956i
$547$	−2.95439	+	6.46921i	−0.126321	+	0.276604i	−0.962217	−	0.272284i	$-0.912221\pi$
$547$	−2.95439	+	6.46921i	−0.126321	+	0.276604i	0.835896	+	0.548887i	$0.184948\pi$
$548$	−0.115841	−	0.289356i	−0.00494848	−	0.0123607i
$549$	7.09403	−	3.65722i	0.302766	−	0.156087i
$550$	−1.84231	−	9.55883i	−0.0785566	−	0.407590i
$551$	0.209945	+	0.363636i	0.00894397	+	0.0154914i
$552$	4.01055	−	31.1954i	0.170700	−	1.32776i
$553$	−10.9540	+	25.2334i	−0.465813	+	1.07303i
$554$	−24.0129	−	27.7124i	−1.02021	−	1.17739i
$555$	1.05410	−	22.1282i	0.0447439	−	0.939290i
$556$	0.152618	−	0.194070i	0.00647245	−	0.00823039i
$557$	18.0151	−	12.8285i	0.763325	−	0.543562i	−0.130784	−	0.991411i	$-0.541749\pi$
$557$	18.0151	−	12.8285i	0.763325	−	0.543562i	0.894109	+	0.447849i	$0.147810\pi$
$558$	−5.19031	−	6.60002i	−0.219723	−	0.279401i
$559$	−14.9474	−	4.38895i	−0.632207	−	0.185633i
$560$	8.03475	+	9.83013i	0.339530	+	0.415399i
$561$	−2.43919	−	5.34108i	−0.102983	−	0.225501i
$562$	11.9132	−	12.4942i	0.502528	−	0.527036i
$563$	−2.47156	−	7.14110i	−0.104164	−	0.300962i	0.880861	−	0.473375i	$-0.156965\pi$
$563$	−2.47156	−	7.14110i	−0.104164	−	0.300962i	−0.985025	+	0.172414i	$0.944843\pi$
$564$	−0.0572580	−	0.165436i	−0.00241100	−	0.00696612i
$565$	15.9697	−	16.7485i	0.671849	−	0.704615i
$566$	15.8243	+	34.6505i	0.665147	+	1.45647i
$567$	17.3844	+	21.2690i	0.730076	+	0.893213i
$568$	17.2489	+	5.06472i	0.723746	+	0.212511i
$569$	26.3949	+	33.5638i	1.10653	+	1.40707i	0.903863	+	0.427822i	$0.140719\pi$
$569$	26.3949	+	33.5638i	1.10653	+	1.40707i	0.202669	+	0.979247i	$0.435038\pi$
$570$	−0.549682	+	0.391427i	−0.0230237	+	0.0163951i
$571$	22.4711	−	28.5743i	0.940386	−	1.19580i	−0.0400975	−	0.999196i	$-0.512767\pi$
$571$	22.4711	−	28.5743i	0.940386	−	1.19580i	0.980483	−	0.196602i	$-0.0629907\pi$
$572$	−0.00929929	+	0.195216i	−0.000388823	+	0.00816239i
$573$	0.0334089	+	0.0385559i	0.00139568	+	0.00161070i
$574$	9.94833	−	22.9167i	0.415235	−	0.956523i
$575$	−9.52090	−	14.3392i	−0.397049	−	0.597987i
$576$	9.62583	+	16.6724i	0.401076	+	0.694685i
$577$	4.02413	+	20.8792i	0.167527	+	0.869212i	0.964276	+	0.264901i	$0.0853393\pi$
$577$	4.02413	+	20.8792i	0.167527	+	0.869212i	−0.796749	+	0.604311i	$0.793449\pi$
$578$	19.2742	−	9.93653i	0.801700	−	0.413305i
$579$	−2.36508	−	5.90769i	−0.0982895	−	0.245515i
$580$	0.0242530	−	0.0531066i	0.00100705	−	0.00220513i
$581$	−8.76820	−	8.85565i	−0.363766	−	0.367394i
$582$	−9.14647	+	31.1500i	−0.379133	+	1.29121i
$583$	20.6353	+	10.6382i	0.854627	+	0.440591i
$584$	4.21363	−	44.1272i	0.174361	−	1.82600i
$585$	−14.3177	−	3.47343i	−0.591963	−	0.143609i
$586$	35.8951	+	6.91821i	1.48281	+	0.285789i
$587$	16.1230	+	13.9707i	0.665469	+	0.576632i	0.920711	−	0.390245i	$-0.127610\pi$
$587$	16.1230	+	13.9707i	0.665469	+	0.576632i	−0.255242	+	0.966877i	$0.582155\pi$
$588$	−0.160928	−	0.285235i	−0.00663656	−	0.0117629i
$589$	−0.379059	+	0.173110i	−0.0156188	+	0.00713288i
$590$	−10.9997	+	21.3364i	−0.452849	+	0.878404i
$591$	4.37416	+	4.58749i	0.179929	+	0.188704i
$592$	12.0150	−	30.0120i	0.493813	−	1.23349i
$593$	−0.879617	−	9.21177i	−0.0361215	−	0.378282i	−0.995399	−	0.0958165i	$-0.969454\pi$
$593$	−0.879617	−	9.21177i	−0.0361215	−	0.378282i	0.959277	−	0.282465i	$-0.0911523\pi$
$594$	−0.511564	+	3.55801i	−0.0209897	+	0.145987i
$595$	4.13995	−	0.275456i	0.169721	−	0.0112926i
$596$	−0.279744	+	0.242400i	−0.0114588	+	0.00992908i
$597$	−45.0881	+	26.0316i	−1.84533	+	1.06540i
$598$	11.8623	+	32.6858i	0.485086	+	1.33662i
$599$	21.3323	−	36.9487i	0.871615	−	1.50968i	0.0112891	−	0.999936i	$-0.496406\pi$
$599$	21.3323	−	36.9487i	0.871615	−	1.50968i	0.860326	−	0.509745i	$-0.170260\pi$
$600$	22.2429	+	7.69835i	0.908063	+	0.314284i
$601$	20.9313	−	32.5698i	0.853808	−	1.32855i	−0.0892802	−	0.996007i	$-0.528457\pi$
$601$	20.9313	−	32.5698i	0.853808	−	1.32855i	0.943088	−	0.332544i	$-0.107907\pi$
$602$	9.77584	+	6.02541i	0.398434	+	0.245578i
$603$	9.18151	+	4.19306i	0.373900	+	0.170754i
$604$	0.178645	−	0.140488i	0.00726895	−	0.00571637i
$605$	6.32564	−	6.03149i	0.257174	−	0.245215i
$606$	1.36203	+	28.5926i	0.0553287	+	1.16149i
$607$	−17.3775	−	12.3745i	−0.705333	−	0.502265i	0.170209	−	0.985408i	$-0.445556\pi$
$607$	−17.3775	−	12.3745i	−0.705333	−	0.502265i	−0.875542	+	0.483143i	$0.839495\pi$
$608$	−0.0186870	+	0.00548701i	−0.000757859	+	0.000222528i
$609$	8.52332	−	12.4596i	0.345382	−	0.504887i
$610$	−3.62928	+	4.18841i	−0.146945	+	0.169584i
$611$	−13.8147	−	13.1723i	−0.558882	−	0.532893i
$612$	−0.0641474	−	0.00612534i	−0.00259301	−	0.000247602i
$613$	−17.4548	+	0.831474i	−0.704992	+	0.0335829i	−0.397017	−	0.917811i	$-0.629954\pi$
$613$	−17.4548	+	0.831474i	−0.704992	+	0.0335829i	−0.307975	+	0.951394i	$0.599651\pi$
$614$	14.1299	−	3.42787i	0.570235	−	0.138337i
$615$	2.61744	+	18.2047i	0.105545	+	0.734085i
$616$	−4.39341	+	13.5122i	−0.177015	+	0.544424i
$617$	36.3666	+	5.22873i	1.46407	+	0.210501i	0.827824	−	0.560989i	$-0.189579\pi$
$617$	36.3666	+	5.22873i	1.46407	+	0.210501i	0.636242	+	0.771489i	$0.280488\pi$
$618$	31.0293	+	1.47811i	1.24818	+	0.0594582i
$619$	−16.7415	+	3.22666i	−0.672898	+	0.129691i	−0.514244	−	0.857644i	$-0.671928\pi$
$619$	−16.7415	+	3.22666i	−0.672898	+	0.129691i	−0.158654	+	0.987334i	$0.550715\pi$
$620$	0.0501785	+	0.0289705i	0.00201522	+	0.00116349i
$621$	1.59051	+	6.15345i	0.0638249	+	0.246929i
$622$		−	39.9846i		−	1.60323i
$623$	−9.50816	−	30.2610i	−0.380936	−	1.21238i
$624$	−40.4030	−	25.9654i	−1.61741	−	1.03945i
$625$	5.40857	−	2.16527i	0.216343	−	0.0866107i
$626$	−23.8127	−	33.4403i	−0.951748	−	1.33654i
$627$	−0.708143	−	0.283498i	−0.0282805	−	0.0113218i
$628$	−0.00995176	−	0.0410217i	−0.000397119	−	0.00163694i
$629$	−5.71178	−	8.88770i	−0.227743	−	0.354376i
$630$	9.50597	+	5.25205i	0.378727	+	0.209247i
$631$	−2.89400	−	9.85606i	−0.115208	−	0.392363i	0.881619	−	0.471962i	$-0.156454\pi$
$631$	−2.89400	−	9.85606i	−0.115208	−	0.392363i	−0.996827	+	0.0795990i	$0.974636\pi$
$632$	5.53717	−	28.7296i	0.220257	−	1.14280i
$633$	11.3910	−	3.94247i	0.452752	−	0.156699i
$634$	−0.399752	+	1.64780i	−0.0158762	+	0.0654424i
$635$	−12.3839	+	17.3907i	−0.491439	+	0.690129i
$636$	0.478810	−	0.307712i	0.0189860	−	0.0122016i
$637$	−29.8472	−	19.6028i	−1.18259	−	0.776693i
$638$	6.57304	−	0.945060i	0.260229	−	0.0374153i
$639$	15.4619	−	1.47643i	0.611663	−	0.0584067i
$640$	−10.7201	−	8.43035i	−0.423748	−	0.333239i
$641$	3.73472	+	7.24435i	0.147513	+	0.286135i	0.951002	−	0.309184i	$-0.100056\pi$
$641$	3.73472	+	7.24435i	0.147513	+	0.286135i	−0.803489	+	0.595319i	$0.797026\pi$
$642$	1.16798	−	3.37465i	0.0460965	−	0.133187i
$643$	10.5370			0.415538			0.207769	−	0.978178i	$-0.433380\pi$
$643$	10.5370			0.415538			0.207769	+	0.978178i	$0.433380\pi$
$644$	−0.0207060	−	0.253883i	−0.000815930	−	0.0100044i
$645$	−8.45400			−0.332876
$646$	−0.105255	+	0.304114i	−0.00414120	+	0.0119652i
$647$	4.44273	+	8.61770i	0.174662	+	0.338797i	0.959875	−	0.280429i	$-0.0904768\pi$
$647$	4.44273	+	8.61770i	0.174662	+	0.338797i	−0.785213	+	0.619226i	$0.787447\pi$
$648$	−22.9662	−	18.0608i	−0.902199	−	0.709497i
$649$	−27.0115	+	2.57928i	−1.06029	+	0.101246i
$650$	−25.7568	+	3.70327i	−1.01027	+	0.145254i
$651$	11.5053	+	9.59599i	0.450929	+	0.376096i
$652$	−0.00161124	+	0.00103548i	−6.31009e−5	+	4.05525e-5i
$653$	15.6122	−	21.9242i	0.610951	−	0.857961i	−0.386991	−	0.922084i	$-0.626486\pi$
$653$	15.6122	−	21.9242i	0.610951	−	0.857961i	0.997942	+	0.0641228i	$0.0204249\pi$
$654$	−8.20977	+	33.8411i	−0.321027	+	1.32329i
$655$	−1.49424	+	0.517160i	−0.0583847	+	0.0202071i
$656$	−5.07928	+	26.3538i	−0.198313	+	1.02894i
$657$	−10.7902	−	36.7480i	−0.420966	−	1.43368i
$658$	7.26365	+	12.0509i	0.283166	+	0.469793i
$659$	20.4880	+	31.8799i	0.798098	+	1.24187i	0.966632	+	0.256169i	$0.0824604\pi$
$659$	20.4880	+	31.8799i	0.798098	+	1.24187i	−0.168534	+	0.985696i	$0.553903\pi$
$660$	0.0250043	+	0.103069i	0.000973292	+	0.00401196i
$661$	−43.4383	−	17.3901i	−1.68955	−	0.676396i	−0.690650	−	0.723189i	$-0.742675\pi$
$661$	−43.4383	−	17.3901i	−1.68955	−	0.676396i	−0.998905	+	0.0467937i	$0.985100\pi$
$662$	24.7362	+	34.7371i	0.961398	+	1.35010i
$663$	−14.5712	+	5.83341i	−0.565897	+	0.226551i
$664$	11.1507	+	7.16611i	0.432730	+	0.278099i
$665$	0.364541	−	0.397033i	0.0141363	−	0.0153963i
$666$		−	27.6536i		−	1.07156i
$667$	10.0796	−	6.02196i	0.390282	−	0.233171i
$668$	−0.0100239	−	0.00578732i	−0.000387837	−	0.000223918i
$669$	−37.8436	+	7.29376i	−1.46312	+	0.281993i
$670$	−7.00094	−	0.333496i	−0.270470	−	0.0128841i
$671$	−6.20081	−	0.891542i	−0.239380	−	0.0344176i
$672$	0.468421	+	0.520445i	0.0180697	+	0.0200766i
$673$	−2.80050	−	19.4779i	−0.107951	−	0.750817i	−0.969844	−	0.243726i	$-0.921630\pi$
$673$	−2.80050	−	19.4779i	−0.107951	−	0.750817i	0.861893	−	0.507090i	$-0.169279\pi$
$674$	44.3699	−	10.7640i	1.70907	−	0.414615i
$675$	−4.75094	+	0.226315i	−0.182864	+	0.00871087i
$676$	0.260256	+	0.0248514i	0.0100098	+	0.000955825i
$677$	−0.816685	−	0.778708i	−0.0313878	−	0.0299282i	0.674223	−	0.738528i	$-0.264479\pi$
$677$	−0.816685	−	0.778708i	−0.0313878	−	0.0299282i	−0.705611	+	0.708600i	$0.749327\pi$
$678$	42.2590	−	48.7695i	1.62295	−	1.87298i
$679$	1.97825	−	25.8559i	0.0759181	−	0.992260i
$680$	−4.23428	+	1.24330i	−0.162377	+	0.0476783i
$681$	21.3177	+	15.1803i	0.816898	+	0.581710i
$682$	0.313585	+	6.58296i	0.0120078	+	0.252075i
$683$	3.17836	−	3.03056i	0.121617	−	0.115961i	−0.626831	−	0.779156i	$-0.715648\pi$
$683$	3.17836	−	3.03056i	0.121617	−	0.115961i	0.748447	+	0.663194i	$0.230800\pi$
$684$	−0.00658020	+	0.00517473i	−0.000251600	+	0.000197861i
$685$	−16.7757	−	7.66122i	−0.640968	−	0.292720i
$686$	17.4144	+	19.7389i	0.664884	+	0.753636i
$687$	−30.8999	+	48.0812i	−1.17891	+	1.83441i
$688$	−11.6582	−	4.03494i	−0.444464	−	0.153831i
$689$	31.0291	−	53.7441i	1.18212	−	2.04749i
$690$	11.1739	+	15.2056i	0.425383	+	0.578867i
$691$	38.7629	−	22.3798i	1.47461	−	0.851366i	0.475019	−	0.879976i	$-0.342441\pi$
$691$	38.7629	−	22.3798i	1.47461	−	0.851366i	0.999591	+	0.0286094i	$0.00910788\pi$
$692$	0.138411	−	0.119934i	0.00526160	−	0.00455920i
$693$	0.815010	+	12.2491i	0.0309597	+	0.465306i
$694$	3.47633	−	24.1784i	0.131960	−	0.917801i
$695$	−1.38864	−	14.5425i	−0.0526740	−	0.551627i
$696$	−5.96750	+	14.9061i	−0.226198	+	0.565014i
$697$	6.05271	+	6.34790i	0.229263	+	0.240444i
$698$	−13.4681	+	26.1244i	−0.509774	+	0.988823i
$699$	−55.8015	+	25.4837i	−2.11061	+	0.963882i
$700$	0.189164	+	0.0235699i	0.00714972	+	0.000890857i
$701$	19.0468	+	16.5041i	0.719387	+	0.623352i	0.935628	−	0.352988i	$-0.114834\pi$
$701$	19.0468	+	16.5041i	0.719387	+	0.623352i	−0.216241	+	0.976340i	$0.569380\pi$
$702$	9.43497	+	1.81844i	0.356100	+	0.0686326i
$703$	−1.33377	−	0.323570i	−0.0503042	−	0.0122037i
$704$	1.43638	−	15.0424i	0.0541355	−	0.566933i
$705$	−9.20709	−	4.74658i	−0.346759	−	0.178767i
$706$	−4.86368	+	16.5642i	−0.183047	+	0.623401i
$707$	−5.80804	−	22.1142i	−0.218434	−	0.831691i
$708$	−0.276343	+	0.605107i	−0.0103856	+	0.0227413i
$709$	−8.05404	−	20.1180i	−0.302476	−	0.755548i	−0.999267	−	0.0382742i	$-0.987814\pi$
$709$	−8.05404	−	20.1180i	−0.302476	−	0.755548i	0.696792	−	0.717274i	$-0.254610\pi$
$710$	−9.58639	+	4.94213i	−0.359771	+	0.185475i
$711$	−4.78413	−	24.8224i	−0.179419	−	0.930914i
$712$	16.8687	+	29.2174i	0.632181	+	1.09497i
$713$	4.99850	+	10.5262i	0.187195	+	0.394208i
$714$	11.4947	−	1.31655i	0.430179	−	0.0492705i
$715$	7.57285	+	8.73954i	0.283209	+	0.326840i
$716$	−0.0117690	+	0.247063i	−0.000439830	+	0.00923316i
$717$	12.5211	−	15.9219i	0.467609	−	0.594613i
$718$	−11.3638	+	8.09212i	−0.424093	+	0.301995i
$719$	−12.8786	−	16.3764i	−0.480290	−	0.610738i	0.484168	−	0.874975i	$-0.339122\pi$
$719$	−12.8786	−	16.3764i	−0.480290	−	0.610738i	−0.964458	+	0.264237i	$0.914880\pi$
$720$	−11.1946	−	3.28702i	−0.417197	−	0.122500i
$721$	−24.4893	+	3.99324i	−0.912031	+	0.148716i
$722$	−11.2007	−	24.5262i	−0.416848	−	0.912771i
$723$	−39.8758	+	41.8205i	−1.48300	+	1.55532i
$724$	0.00521735	+	0.0150745i	0.000193901	+	0.000560241i
$725$	2.87388	+	8.30353i	0.106733	+	0.308386i
$726$	16.8189	−	17.6392i	0.624209	−	0.654651i
$727$	11.0819	+	24.2660i	0.411006	+	0.899977i	0.996035	+	0.0889647i	$0.0283558\pi$
$727$	11.0819	+	24.2660i	0.411006	+	0.899977i	−0.585029	+	0.811012i	$0.698917\pi$
$728$	35.5195	+	13.4492i	1.31644	+	0.498461i
$729$	−15.3309	−	4.50156i	−0.567811	−	0.166724i
$730$	16.4396	+	20.9047i	0.608459	+	0.773718i
$731$	−3.28411	+	2.33861i	−0.121467	+	0.0864964i
$732$	−0.0949377	+	0.120723i	−0.00350900	+	0.00446206i
$733$	0.295711	−	6.20773i	0.0109223	−	0.229288i	−0.986805	−	0.161911i	$-0.948234\pi$
$733$	0.295711	−	6.20773i	0.0109223	−	0.229288i	0.997728	−	0.0673765i	$-0.0214629\pi$
$734$	−11.4444	−	13.2075i	−0.422419	−	0.487498i
$735$	−18.5383	−	5.64374i	−0.683794	−	0.208172i
$736$	0.161222	+	0.520197i	0.00594274	+	0.0191747i
$737$	−3.96131	−	6.86119i	−0.145917	−	0.252735i
$738$	4.34490	+	22.5435i	0.159938	+	0.829836i
$739$	−1.29237	+	0.666263i	−0.0475406	+	0.0245089i	−0.481833	−	0.876263i	$-0.660029\pi$
$739$	−1.29237	+	0.666263i	−0.0475406	+	0.0245089i	0.434292	+	0.900772i	$0.356998\pi$
$740$	0.0709242	+	0.177160i	0.00260722	+	0.00651253i
$741$	−0.847020	+	1.85471i	−0.0311160	+	0.0681346i
$742$	−32.5075	+	32.1865i	−1.19339	+	1.18160i
$743$	7.06457	−	24.0597i	0.259174	−	0.882665i	−0.722383	−	0.691493i	$-0.756953\pi$
$743$	7.06457	−	24.0597i	0.259174	−	0.882665i	0.981557	−	0.191172i	$-0.0612287\pi$
$744$	−14.1635	−	7.30177i	−0.519258	−	0.267696i
$745$	−2.08193	+	21.8029i	−0.0762759	+	0.798798i
$746$	−23.1764	−	5.62253i	−0.848548	−	0.205856i
$747$	11.2453	+	2.16735i	0.411443	+	0.0792991i
$748$	0.0382251	+	0.0331222i	0.00139765	+	0.00121107i
$749$	−0.352681	+	2.83050i	−0.0128867	+	0.103424i
$750$	−30.7404	+	14.0387i	−1.12248	+	0.512620i
$751$	18.0465	−	35.0053i	0.658526	−	1.27736i	−0.288892	−	0.957362i	$-0.593287\pi$
$751$	18.0465	−	35.0053i	0.658526	−	1.27736i	0.947418	−	0.320000i	$-0.103683\pi$
$752$	−10.4312	−	10.9400i	−0.380388	−	0.398940i
$753$	−2.45726	+	6.13793i	−0.0895474	+	0.223678i
$754$	−1.68733	−	17.6705i	−0.0614489	−	0.643522i
$755$	1.91378	−	13.3106i	0.0696495	−	0.484423i
$756$	−0.0631612	−	0.0310701i	−0.00229715	−	0.00113001i
$757$	40.1728	−	34.8100i	1.46011	−	1.26519i	0.560742	−	0.827991i	$-0.310516\pi$
$757$	40.1728	−	34.8100i	1.46011	−	1.26519i	0.899365	−	0.437199i	$-0.144030\pi$
$758$	0.0334011	−	0.0192841i	0.00121318	−	0.000700431i
$759$	−7.63078	+	19.9181i	−0.276980	+	0.722980i
$760$	−0.286645	+	0.496484i	−0.0103977	+	0.0180094i
$761$	23.4280	+	8.10850i	0.849263	+	0.293933i	0.716821	−	0.697258i	$-0.245597\pi$
$761$	23.4280	+	8.10850i	0.849263	+	0.293933i	0.132443	+	0.991191i	$0.457718\pi$
$762$	−32.1861	+	50.0826i	−1.16598	+	1.81430i
$763$	0.799885	−	27.8032i	0.0289578	−	1.00654i
$764$	−0.000399748	0	0.000182559i	−1.44624e−5	0	6.60474e-6i
$765$	−2.99713	+	2.35697i	−0.108361	+	0.0852163i
$766$	0.122843	−	0.117131i	0.00443850	−	0.00423211i
$767$	3.45121	+	72.4499i	0.124616	+	2.61601i
$768$	−0.914564	−	0.651258i	−0.0330015	−	0.0235003i
$769$	−16.2870	+	4.78231i	−0.587326	+	0.172454i	−0.561876	−	0.827222i	$-0.689920\pi$
$769$	−16.2870	+	4.78231i	−0.587326	+	0.172454i	−0.0254502	+	0.999676i	$0.508102\pi$
$770$	−3.68661	−	7.68600i	−0.132856	−	0.276984i
$771$	4.65435	−	5.37140i	0.167622	−	0.193446i
$772$	0.0396720	+	0.0378271i	0.00142783	+	0.00136143i
$773$	−14.5106	−	1.38560i	−0.521910	−	0.0498364i	−0.169223	−	0.985578i	$-0.554126\pi$
$773$	−14.5106	−	1.38560i	−0.521910	−	0.0498364i	−0.352687	+	0.935741i	$0.614732\pi$
$774$	−10.5411	+	0.502132i	−0.378890	+	0.0180488i
$775$	−8.47456	+	2.05591i	−0.304415	+	0.0738503i
$776$	3.92520	+	27.3003i	0.140906	+	0.980025i
$777$	10.2492	+	48.2666i	0.367688	+	1.73155i
$778$	19.7830	+	2.84437i	0.709255	+	0.101976i
$779$	1.13814	+	0.0542163i	0.0407781	+	0.00194250i
$780$	0.278380	−	0.0536533i	0.00996759	−	0.00192110i
$781$	−10.5581	−	6.09571i	−0.377798	−	0.218121i
$782$	8.54698	+	2.81589i	0.305640	+	0.100696i
$783$		−	3.24456i		−	0.115951i
$784$	−22.8709	−	16.6308i	−0.816817	−	0.593956i
$785$	−2.10117	−	1.35034i	−0.0749940	−	0.0481957i
$786$	−4.09337	+	1.63874i	−0.146006	+	0.0584519i
$787$	15.7315	+	22.0918i	0.560768	+	0.787489i	0.993476	−	0.114046i	$-0.0363810\pi$
$787$	15.7315	+	22.0918i	0.560768	+	0.787489i	−0.432707	+	0.901534i	$0.642442\pi$
$788$	−0.0506901	−	0.0202933i	−0.00180576	−	0.000722917i
$789$	5.31178	+	21.8955i	0.189104	+	0.779499i
$790$	9.49016	+	14.7670i	0.337645	+	0.525385i
$791$	−24.9268	+	45.1164i	−0.886295	+	1.60415i
$792$	−3.67862	−	12.5282i	−0.130714	−	0.445172i
$793$	−3.16914	+	16.4430i	−0.112539	+	0.583910i
$794$	−9.34488	+	3.23429i	−0.331637	+	0.114781i
$795$	7.93976	−	32.7281i	0.281594	−	1.16075i
$796$	0.260141	−	0.365317i	0.00922046	−	0.0129483i
$797$	29.6393	−	19.0480i	1.04988	−	0.674714i	0.102466	−	0.994737i	$-0.467327\pi$
$797$	29.6393	−	19.0480i	1.04988	−	0.674714i	0.947410	+	0.320022i	$0.103690\pi$
$798$	0.962698	−	1.15425i	0.0340792	−	0.0408599i
$799$	−4.88969	+	0.703032i	−0.172985	+	0.0248715i
$800$	−0.405716	+	0.0387412i	−0.0143442	+	0.00136971i
$801$	22.9128	+	18.0188i	0.809584	+	0.636664i
$802$	5.10759	+	9.90734i	0.180355	+	0.349840i
$803$	−9.83220	+	28.4083i	−0.346971	+	1.00251i
$804$	−0.194230			−0.00684996
$805$	−11.2533	−	10.0267i	−0.396626	−	0.353395i
$806$	17.6167			0.620521
$807$	−11.7742	+	34.0192i	−0.414470	+	1.19753i
$808$	11.1435	+	21.6153i	0.392026	+	0.760424i
$809$	14.6362	+	11.5100i	0.514581	+	0.404671i	0.841397	−	0.540417i	$-0.181734\pi$
$809$	14.6362	+	11.5100i	0.514581	+	0.404671i	−0.326817	+	0.945088i	$0.605976\pi$
$810$	17.4495	−	1.66622i	0.613112	−	0.0585451i
$811$	20.7091	−	2.97752i	0.727195	−	0.104555i	0.231232	−	0.972899i	$-0.425724\pi$
$811$	20.7091	−	2.97752i	0.727195	−	0.104555i	0.495963	+	0.868344i	$0.334815\pi$
$812$	−0.0222001	+	0.128128i	−0.000779070	+	0.00449642i
$813$	34.0181	−	21.8621i	1.19307	−	0.766738i
$814$	−12.5905	+	17.6809i	−0.441297	+	0.619715i
$815$	−0.0267180	+	0.110133i	−0.000935889	+	0.00385779i
$816$	−11.7458	+	4.06525i	−0.411185	+	0.142312i
$817$	−0.0991202	+	0.514284i	−0.00346778	+	0.0179925i
$818$	−4.21573	−	14.3574i	−0.147399	−	0.501996i
$819$	32.8094	−	0.618145i	1.14645	−	0.0215997i
$820$	−0.0856531	−	0.133279i	−0.00299114	−	0.00465430i
$821$	−4.88849	−	20.1506i	−0.170610	−	0.703262i	−0.991270	−	0.131846i	$-0.957909\pi$
$821$	−4.88849	−	20.1506i	−0.170610	−	0.703262i	0.820661	−	0.571416i	$-0.193606\pi$
$822$	−47.7430	−	19.1134i	−1.66523	−	0.666657i
$823$	13.2282	+	18.5764i	0.461106	+	0.647532i	0.978022	−	0.208504i	$-0.0668594\pi$
$823$	13.2282	+	18.5764i	0.461106	+	0.647532i	−0.516916	+	0.856036i	$0.672920\pi$
$824$	24.5007	−	9.80861i	0.853523	−	0.341699i
$825$	−13.4283	−	8.62987i	−0.467515	−	0.300453i
$826$	11.6243	−	52.1879i	0.404460	−	1.81585i
$827$			17.9761i			0.625091i	0.949903	+	0.312545i	$0.101182\pi$
$827$			17.9761i			0.625091i	−0.949903	+	0.312545i	$0.898818\pi$
$828$	0.147434	+	0.181821i	0.00512368	+	0.00631871i
$829$	−41.6289	−	24.0345i	−1.44583	−	0.834752i	−0.447603	−	0.894232i	$-0.647722\pi$
$829$	−41.6289	−	24.0345i	−1.44583	−	0.834752i	−0.998229	+	0.0594807i	$0.981056\pi$
$830$	−7.80854	+	1.50497i	−0.271038	+	0.0522383i
$831$	−60.0584	−	2.86093i	−2.08340	−	0.0992447i
$832$	−39.9812	−	5.74843i	−1.38610	−	0.199291i
$833$	−8.76273	+	2.93577i	−0.303611	+	0.101718i
$834$	−5.79739	−	40.3217i	−0.200747	−	1.39623i
$835$	−0.665567	+	0.161465i	−0.0230329	+	0.00558772i
$836$	0.00656320		0.000312644i	0.000226993		1.08130e-5i
$837$	3.20545	+	0.306083i	0.110797	+	0.0105798i
$838$	−7.74398	−	7.38387i	−0.267511	−	0.255071i
$839$	−16.2700	+	18.7766i	−0.561704	+	0.648241i	−0.963570	−	0.267458i	$-0.913816\pi$
$839$	−16.2700	+	18.7766i	−0.561704	+	0.648241i	0.401866	+	0.915699i	$0.368362\pi$
$840$	20.5509	+	1.57236i	0.709075	+	0.0542515i
$841$	22.0741	−	6.48155i	0.761176	−	0.223502i
$842$	−39.0318	−	27.7944i	−1.34512	−	0.957858i
$843$	−1.34692	−	28.2753i	−0.0463904	−	0.973854i
$844$	−0.0751478	+	0.0716533i	−0.00258669	+	0.00246641i
$845$	12.1598	−	9.56257i	0.418310	−	0.328962i
$846$	−11.7620	−	5.37151i	−0.404385	−	0.184676i
$847$	−10.2146	+	16.5725i	−0.350977	+	0.569437i
$848$	26.5696	−	41.3430i	0.912402	−	1.41973i
$849$	59.0263	+	20.4292i	2.02578	+	0.701129i
$850$	−3.36720	+	5.83216i	−0.115494	+	0.200041i
$851$	−8.48985	+	37.4274i	−0.291028	+	1.28299i
$852$	−0.258840	+	0.149441i	−0.00886772	+	0.00511978i
$853$	10.9851	−	9.51862i	0.376122	−	0.325912i	−0.446201	−	0.894933i	$-0.647223\pi$
$853$	10.9851	−	9.51862i	0.376122	−	0.325912i	0.822323	+	0.569021i	$0.192678\pi$
$854$	5.44868	−	11.0764i	0.186450	−	0.379027i
$855$	−0.0704921	+	0.490283i	−0.00241078	+	0.0167673i
$856$	−0.288384	−	3.02010i	−0.00985677	−	0.103225i
$857$	−13.0991	+	32.7201i	−0.447458	+	1.11770i	0.517592	+	0.855628i	$0.326829\pi$
$857$	−13.0991	+	32.7201i	−0.447458	+	1.11770i	−0.965049	+	0.262068i	$0.915596\pi$
$858$	22.2527	+	23.3380i	0.759695	+	0.796746i
$859$	11.1802	−	21.6865i	0.381463	−	0.739935i	−0.617447	−	0.786612i	$-0.711833\pi$
$859$	11.1802	−	21.6865i	0.381463	−	0.739935i	0.998910	+	0.0466775i	$0.0148633\pi$
$860$	0.0662423	−	0.0302518i	0.00225884	−	0.00103158i
$861$	−15.9388	−	37.7370i	−0.543193	−	1.28607i
$862$	13.2340	+	11.4673i	0.450751	+	0.390578i
$863$	−18.8853	−	3.63985i	−0.642865	−	0.123902i	−0.142608	−	0.989779i	$-0.545549\pi$
$863$	−18.8853	−	3.63985i	−0.642865	−	0.123902i	−0.500256	+	0.865877i	$0.666761\pi$
$864$	0.146251	+	0.0354802i	0.00497557	+	0.00120706i
$865$	1.03009	−	10.7876i	0.0350241	−	0.366789i
$866$	−15.0591	−	7.76352i	−0.511730	−	0.263815i
$867$	10.0176	−	34.1167i	0.340214	−	1.15866i
$868$	−0.124489	−	0.0340198i	−0.00422545	−	0.00115471i
$869$	−8.24265	+	18.0489i	−0.279613	+	0.612267i
$870$	−3.58020	−	8.94292i	−0.121380	−	0.303193i
$871$	−18.8235	+	9.70420i	−0.637810	+	0.328814i
$872$	5.59882	+	29.0494i	0.189600	+	0.983737i
$873$	11.9151	+	20.6375i	0.403264	+	0.698473i
$874$	1.05602	−	0.501464i	0.0357203	−	0.0169623i
$875$	21.6892	−	16.0690i	0.733229	−	0.543233i
$876$	0.482624	+	0.556977i	0.0163063	+	0.0188185i
$877$	−1.41154	+	29.6319i	−0.0476644	+	1.00060i	0.840712	+	0.541483i	$0.182137\pi$
$877$	−1.41154	+	29.6319i	−0.0476644	+	1.00060i	−0.888376	+	0.459117i	$0.848166\pi$
$878$	−23.7206	+	30.1633i	−0.800533	+	1.01796i
$879$	48.8266	−	34.7693i	1.64688	−	1.17274i
$880$	5.66091	+	7.19843i	0.190829	+	0.242659i
$881$	12.4236	+	3.64791i	0.418563	+	0.122901i	0.484231	−	0.874940i	$-0.339100\pi$
$881$	12.4236	+	3.64791i	0.418563	+	0.122901i	−0.0656679	+	0.997842i	$0.520918\pi$
$882$	−23.4500	−	5.93592i	−0.789604	−	0.199873i
$883$	6.74046	+	14.7596i	0.226835	+	0.496699i	0.988490	−	0.151283i	$-0.0483405\pi$
$883$	6.74046	+	14.7596i	0.226835	+	0.496699i	−0.761656	+	0.647982i	$0.775613\pi$
$884$	0.0932997	−	0.0978499i	0.00313801	−	0.00329105i
$885$	12.8738	+	37.1964i	0.432748	+	1.25034i
$886$	−1.68679	−	4.87366i	−0.0566689	−	0.163734i
$887$	−26.9402	+	28.2541i	−0.904564	+	0.948680i	−0.998901	−	0.0468606i	$-0.985078\pi$
$887$	−26.9402	+	28.2541i	−0.904564	+	0.948680i	0.0943371	+	0.995540i	$0.469927\pi$
$888$	−21.8016	−	47.7390i	−0.731615	−	1.60201i
$889$	16.8387	−	44.4710i	0.564750	−	1.49151i
$890$	−19.4208	−	5.70247i	−0.650988	−	0.191147i
$891$	12.2482	+	15.5749i	0.410332	+	0.521779i
$892$	0.270428	−	0.192571i	0.00905459	−	0.00644774i
$893$	−0.396700	+	0.504445i	−0.0132751	+	0.0168806i
$894$	−2.90604	+	61.0053i	−0.0971925	+	2.04032i
$895$	9.58409	+	11.0606i	0.320361	+	0.369716i
$896$	27.8638	+	12.0959i	0.930864	+	0.404096i
$897$	52.2116	+	22.9079i	1.74329	+	0.764872i
$898$	6.76299	+	11.7138i	0.225684	+	0.390896i
$899$	−1.12579	−	5.84116i	−0.0375473	−	0.194814i
$900$	−0.155705	+	0.0802716i	−0.00519018	+	0.00267572i
$901$	−5.96914	−	14.9102i	−0.198861	−	0.496730i
$902$	7.48589	−	16.3918i	0.249253	−	0.545787i
$903$	18.2122	−	4.78323i	0.606065	−	0.159176i
$904$	15.4455	−	52.6026i	0.513710	−	1.74954i
$905$	0.838949	+	0.432509i	0.0278876	+	0.0143771i
$906$	3.56447	−	37.3288i	0.118422	−	1.24017i
$907$	−41.4348	−	10.0520i	−1.37582	−	0.333770i	−0.521382	−	0.853324i	$-0.674583\pi$
$907$	−41.4348	−	10.0520i	−1.37582	−	0.333770i	−0.854438	+	0.519553i	$0.826098\pi$
$908$	−0.221359	−	0.0426634i	−0.00734605	−	0.00141584i
$909$	15.8794	+	13.7595i	0.526685	+	0.456375i
$910$	−20.9909	+	8.86582i	−0.695840	+	0.293899i
$911$	44.4310	−	20.2909i	1.47206	−	0.672269i	0.491935	−	0.870632i	$-0.336290\pi$
$911$	44.4310	−	20.2909i	1.47206	−	0.672269i	0.980129	+	0.198363i	$0.0635625\pi$
$912$	−0.739890	+	1.43519i	−0.0245002	+	0.0475238i
$913$	−6.20310	−	6.50563i	−0.205293	−	0.215305i
$914$	6.05180	−	15.1167i	0.200176	−	0.500015i
$915$	0.863816	+	9.04629i	0.0285569	+	0.299061i
$916$	0.0700658	−	0.487318i	0.00231504	−	0.0161014i
$917$	2.92639	−	1.95954i	0.0966378	−	0.0647096i
$918$	1.87932	−	1.62844i	0.0620269	−	0.0537466i
$919$	0.437583	−	0.252638i	0.0144345	−	0.00833377i	−0.492765	−	0.870162i	$-0.664014\pi$
$919$	0.437583	−	0.252638i	0.0144345	−	0.00833377i	0.507200	+	0.861828i	$0.330681\pi$
$920$	14.0014	+	7.80721i	0.461613	+	0.257396i
$921$	11.9205	−	20.6470i	0.392795	−	0.680341i
$922$	6.50364	+	2.25093i	0.214186	+	0.0741305i
$923$	−17.6187	+	27.4152i	−0.579926	+	0.902382i
$924$	−0.112182	−	0.207892i	−0.00369052	−	0.00683914i
$925$	−26.1252	−	11.9310i	−0.858991	−	0.392288i
$926$	−2.02474	+	1.59227i	−0.0665371	+	0.0523253i
$927$	16.5026	−	15.7352i	0.542017	−	0.516812i
$928$	−0.0132288	−	0.277706i	−0.000434255	−	0.00911614i
$929$	−18.8149	−	13.3981i	−0.617298	−	0.439576i	0.228156	−	0.973625i	$-0.426730\pi$
$929$	−18.8149	−	13.3981i	−0.617298	−	0.439576i	−0.845454	+	0.534049i	$0.820670\pi$
$930$	9.17287	−	2.69340i	0.300790	−	0.0883200i
$931$	−0.560681	+	1.06157i	−0.0183756	+	0.0347916i
$932$	0.346048	−	0.399361i	0.0113352	−	0.0130815i
$933$	−47.4506	−	45.2440i	−1.55346	−	1.48122i
$934$	29.4823	+	2.81522i	0.964691	+	0.0921168i
$935$	2.98938	−	0.142402i	0.0977632	−	0.00465704i
$936$	−33.9188	+	8.22862i	−1.10867	+	0.268961i
$937$	1.94772	+	13.5467i	0.0636292	+	0.442551i	0.996586	+	0.0825622i	$0.0263103\pi$
$937$	1.94772	+	13.5467i	0.0636292	+	0.442551i	−0.932957	+	0.359989i	$0.882781\pi$
$938$	15.2706	−	3.24265i	0.498603	−	0.105876i
$939$	−66.6294	−	9.57986i	−2.17437	−	0.312627i
$940$	0.0891283	+	0.00424571i	0.00290705	+	0.000138480i
$941$	−2.25342	+	0.434312i	−0.0734595	+	0.0141582i	−0.225849	−	0.974162i	$-0.572515\pi$
$941$	−2.25342	+	0.434312i	−0.0734595	+	0.0141582i	0.152389	+	0.988321i	$0.451303\pi$
$942$	−6.03169	−	3.48240i	−0.196523	−	0.113463i
$943$	1.04046	−	31.8450i	0.0338822	−	1.03702i
$944$			57.4388i			1.86947i
$945$	−3.97344	+	1.24847i	−0.129256	+	0.0406129i
$946$	6.96824	+	4.47822i	0.226557	+	0.145599i
$947$	−22.4762	+	8.99812i	−0.730379	+	0.292400i	−0.706889	−	0.707324i	$-0.749902\pi$
$947$	−22.4762	+	8.99812i	−0.730379	+	0.292400i	−0.0234901	+	0.999724i	$0.507478\pi$
$948$	0.282165	+	0.396245i	0.00916428	+	0.0128694i
$949$	74.6008	+	29.8656i	2.42164	+	0.969480i
$950$	0.206255	+	0.850193i	0.00669179	+	0.0275839i
$951$	1.50315	+	2.33894i	0.0487428	+	0.0758453i
$952$	8.41835	−	5.07413i	0.272840	−	0.164454i
$953$	4.92703	+	16.7799i	0.159602	+	0.543555i	0.999999	+	0.00158300i	$0.000503884\pi$
$953$	4.92703	+	16.7799i	0.159602	+	0.543555i	−0.840397	+	0.541972i	$0.817678\pi$
$954$	7.95594	−	41.2793i	0.257583	−	1.33647i
$955$	−0.0245728	+	0.00850474i	−0.000795158	+	0.000275207i
$956$	−0.0411355	+	0.169563i	−0.00133042	+	0.00548406i
$957$	6.31612	−	8.86975i	0.204171	−	0.286718i
$958$	−17.4816	+	11.2347i	−0.564805	+	0.362978i
$959$	40.4742	+	7.01274i	1.30698	+	0.226453i
$960$	−21.6968	+	3.11953i	−0.700261	+	0.100682i
$961$	−24.9827	+	2.38556i	−0.805893	+	0.0769534i
$962$	45.6074	+	35.8660i	1.47044	+	1.15637i
$963$	−1.20112	−	2.32985i	−0.0387056	−	0.0750785i
$964$	0.162801	−	0.470381i	0.00524345	−	0.0151500i
$965$	3.24345			0.104410
$966$	−32.6749	−	26.4349i	−1.05130	−	0.850528i
$967$	−22.0609			−0.709432			−0.354716	−	0.934974i	$-0.615422\pi$
$967$	−22.0609			−0.709432			−0.354716	+	0.934974i	$0.615422\pi$
$968$	6.77224	−	19.5671i	0.217668	−	0.628910i
$969$	0.241799	+	0.469025i	0.00776770	+	0.0150672i
$970$	−13.0070	−	10.2288i	−0.417631	−	0.328428i
$971$	−34.9603	+	3.33830i	−1.12193	+	0.107131i	−0.639491	−	0.768799i	$-0.720855\pi$
$971$	−34.9603	+	3.33830i	−1.12193	+	0.107131i	−0.482438	+	0.875930i	$0.660249\pi$
$972$	0.401812	−	0.0577719i	0.0128881	−	0.00185303i
$973$	11.2195	+	30.5427i	0.359682	+	0.979155i
$974$	4.23591	−	2.72225i	0.135727	−	0.0872267i
$975$	−24.7501	+	34.7566i	−0.792636	+	1.11310i
$976$	−3.12641	+	12.8872i	−0.100074	+	0.412511i
$977$	−38.8967	+	13.4623i	−1.24442	+	0.430697i	−0.868376	−	0.495907i	$-0.834836\pi$
$977$	−38.8967	+	13.4623i	−1.24442	+	0.430697i	−0.376040	+	0.926603i	$0.622715\pi$
$978$	−0.0598064	+	0.310305i	−0.00191240	+	0.00992246i
$979$	−6.44590	−	21.9527i	−0.206012	−	0.701612i
$980$	0.165454	−	0.0221152i	0.00528524	−	0.000706446i
$981$	13.8192	+	21.5030i	0.441212	+	0.686539i
$982$	−10.6669	−	43.9696i	−0.340395	−	1.40313i
$983$	−24.6648	−	9.87429i	−0.786684	−	0.314941i	−0.0566878	−	0.998392i	$-0.518054\pi$
$983$	−24.6648	−	9.87429i	−0.786684	−	0.314941i	−0.729996	+	0.683451i	$0.760478\pi$
$984$	25.2736	+	35.4917i	0.805691	+	1.13144i
$985$	−2.99934	+	1.20076i	−0.0955670	+	0.0382592i
$986$	−3.86465	−	2.48366i	−0.123075	−	0.0790958i
$987$	22.5202	+	5.01611i	0.716825	+	0.159665i
$988$		−	0.0175638i		−	0.000558779i
$989$	14.4208	+	2.55657i	0.458554	+	0.0812943i
$990$	6.78413	+	3.91682i	0.215614	+	0.124485i
$991$	26.6710	−	5.14041i	0.847232	−	0.163290i	0.252882	−	0.967497i	$-0.418622\pi$
$991$	26.6710	−	5.14041i	0.847232	−	0.163290i	0.594350	+	0.804207i	$0.297409\pi$
$992$	0.275606	+	0.0131288i	0.00875051	+	0.000416838i
$993$	69.2132	+	9.95135i	2.19641	+	0.315797i
$994$	17.8555	−	16.0706i	0.566341	−	0.509729i
$995$	−3.77652	−	26.2663i	−0.119724	−	0.832696i
$996$	−0.214160	+	0.0519547i	−0.00678593	+	0.00164625i
$997$	−17.2739	+	0.822856i	−0.547069	+	0.0260601i	−0.319298	−	0.947654i	$-0.603447\pi$
$997$	−17.2739	+	0.822856i	−0.547069	+	0.0260601i	−0.227772	+	0.973715i	$0.573144\pi$
$998$	−20.4173	−	1.94961i	−0.646298	−	0.0617140i
$999$	7.67534	+	7.31843i	0.242837	+	0.231545i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	161.2.o.a.10.5	✓	280
7.5	odd	6	inner	161.2.o.a.33.10	yes	280
23.7	odd	22	inner	161.2.o.a.122.10	yes	280
161.145	even	66	inner	161.2.o.a.145.5	yes	280

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
161.2.o.a.10.5	✓	280	1.1	even	1	trivial
161.2.o.a.33.10	yes	280	7.5	odd	6	inner
161.2.o.a.122.10	yes	280	23.7	odd	22	inner
161.2.o.a.145.5	yes	280	161.145	even	66	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:	\( N \)	\(=\)	\( 161 = 7 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	161.o (of order \(66\), degree \(20\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.464860 + 1.34312i) q^{2} +(1.06791 + 2.07145i) q^{3} +(-0.0157802 - 0.0124097i) q^{4} +(-1.18248 + 0.112913i) q^{5} +(-3.27865 + 0.471398i) q^{6} +(2.48349 - 0.912284i) q^{7} +(-2.36733 + 1.52139i) q^{8} +(-1.41032 + 1.98052i) q^{9} +(0.398030 - 1.64070i) q^{10} +(1.80343 - 0.624175i) q^{11} +(0.00885429 - 0.0459404i) q^{12} +(-1.43719 - 4.89464i) q^{13} +(0.0708350 + 3.75972i) q^{14} +(-1.49667 - 2.32887i) q^{15} +(-0.952407 - 3.92587i) q^{16} +(-1.22564 - 0.490671i) q^{17} +(-2.00448 - 2.81490i) q^{18} +(-0.159220 + 0.0637423i) q^{19} +(0.0200610 + 0.0128924i) q^{20} +(4.54190 + 4.17021i) q^{21} +2.71239i q^{22} +(1.84874 + 4.42517i) q^{23} +(-5.67959 - 3.27911i) q^{24} +(-3.52414 + 0.679222i) q^{25} +(7.24219 + 0.344988i) q^{26} +(1.31176 + 0.188603i) q^{27} +(-0.0505112 - 0.0164234i) q^{28} +(-0.348424 - 2.42334i) q^{29} +(3.82370 - 0.927619i) q^{30} +(2.42700 - 0.115612i) q^{31} +(0.113044 + 0.0107944i) q^{32} +(3.21885 + 3.06917i) q^{33} +(1.22878 - 1.41809i) q^{34} +(-2.83367 + 1.35917i) q^{35} +(0.0468328 - 0.0137514i) q^{36} +(6.51857 + 4.64185i) q^{37} +(-0.0115986 - 0.243484i) q^{38} +(8.60422 - 8.20411i) q^{39} +(2.62753 - 2.06631i) q^{40} +(-6.04331 - 2.75989i) q^{41} +(-7.71245 + 4.16177i) q^{42} +(1.65102 - 2.56904i) q^{43} +(-0.0362044 - 0.0125305i) q^{44} +(1.44405 - 2.50116i) q^{45} +(-6.80296 + 0.426003i) q^{46} +(3.24051 - 1.87091i) q^{47} +(7.11518 - 6.16534i) q^{48} +(5.33547 - 4.53130i) q^{49} +(0.725951 - 5.04910i) q^{50} +(-0.292466 - 3.06284i) q^{51} +(-0.0380617 + 0.0950736i) q^{52} +(8.39499 + 8.80441i) q^{53} +(-0.863102 + 1.67418i) q^{54} +(-2.06204 + 0.941703i) q^{55} +(-4.49131 + 5.93805i) q^{56} +(-0.302072 - 0.261747i) q^{57} +(3.41681 + 0.658537i) q^{58} +(-13.8176 - 3.35212i) q^{59} +(-0.00528273 + 0.0553233i) q^{60} +(-2.91773 - 1.50419i) q^{61} +(-0.972932 + 3.31350i) q^{62} +(-1.69573 + 6.20522i) q^{63} +(3.28930 - 7.20255i) q^{64} +(2.25212 + 5.62552i) q^{65} +(-5.61859 + 2.89658i) q^{66} +(-0.785669 - 4.07644i) q^{67} +(0.0132517 + 0.0229527i) q^{68} +(-7.19226 + 8.55526i) q^{69} +(-0.508282 - 4.43779i) q^{70} +(-4.18345 - 4.82796i) q^{71} +(0.325553 - 6.83420i) q^{72} +(-9.73744 + 12.3822i) q^{73} +(-9.26480 + 6.59744i) q^{74} +(-5.17044 - 6.57475i) q^{75} +(0.00330356 + 0.000970011i) q^{76} +(3.90939 - 3.19538i) q^{77} +(7.01938 + 15.3703i) q^{78} +(-7.17490 + 7.52482i) q^{79} +(1.56948 + 4.53472i) q^{80} +(3.39581 + 9.81155i) q^{81} +(6.51616 - 6.83395i) q^{82} +(-1.95670 - 4.28458i) q^{83} +(-0.0199212 - 0.122170i) q^{84} +(1.50469 + 0.441817i) q^{85} +(2.68305 + 3.41177i) q^{86} +(4.64775 - 3.30965i) q^{87} +(-3.31971 + 4.22136i) q^{88} +(0.570454 - 11.9753i) q^{89} +(2.68809 + 3.10222i) q^{90} +(-8.03456 - 10.8447i) q^{91} +(0.0257415 - 0.0927725i) q^{92} +(2.83130 + 4.90395i) q^{93} +(1.00648 + 5.22212i) q^{94} +(0.181077 - 0.0933518i) q^{95} +(0.0983609 + 0.245694i) q^{96} +(4.07156 - 8.91547i) q^{97} +(3.60585 + 9.27262i) q^{98} +(-1.30723 + 4.45202i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 280 q - 7 q^{2} - 27 q^{3} + q^{4} - 33 q^{5} - 22 q^{7} - 56 q^{8} - 15 q^{9} - 33 q^{10} - 11 q^{11} - 39 q^{12} - 22 q^{14} - 44 q^{15} + 11 q^{16} - 33 q^{17} - 77 q^{18} - 33 q^{19} + 44 q^{21} + 11 q^{23}+ \cdots - 198 q^{99}+O(q^{100}) \) 280 * q - 7 * q^2 - 27 * q^3 + q^4 - 33 * q^5 - 22 * q^7 - 56 * q^8 - 15 * q^9 - 33 * q^10 - 11 * q^11 - 39 * q^12 - 22 * q^14 - 44 * q^15 + 11 * q^16 - 33 * q^17 - 77 * q^18 - 33 * q^19 + 44 * q^21 + 11 * q^23 - 30 * q^24 - 11 * q^25 - 21 * q^26 + 66 * q^28 + 33 * q^30 - 33 * q^31 - 27 * q^32 - 33 * q^33 + 10 * q^35 + 66 * q^36 - 55 * q^37 - 33 * q^38 + 5 * q^39 - 33 * q^40 + 88 * q^42 + 44 * q^43 - 66 * q^44 - 29 * q^46 - 30 * q^47 + 16 * q^49 + 26 * q^50 - 55 * q^51 - 105 * q^52 - 11 * q^53 - 3 * q^54 + 99 * q^56 + 44 * q^57 - 36 * q^58 + 21 * q^59 - 11 * q^60 - 33 * q^61 + 33 * q^63 + 24 * q^64 + 66 * q^65 + 66 * q^66 - 11 * q^67 + 6 * q^70 - 60 * q^71 + 59 * q^72 - 15 * q^73 - 129 * q^75 + 13 * q^77 - 252 * q^78 + 33 * q^79 + 264 * q^80 + 99 * q^81 - 33 * q^82 + 44 * q^84 - 212 * q^85 + 11 * q^86 + 381 * q^87 + 198 * q^88 - 33 * q^89 - 214 * q^92 - 12 * q^93 + 180 * q^94 + 32 * q^95 + 51 * q^96 + 80 * q^98 - 198 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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