LMFDB - Embedded newform 189.2.ba.a.131.15

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [189,2,Mod(5,189)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(189, base_ring=CyclotomicField(18))

chi = DirichletCharacter(H, H._module([5, 15]))

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

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

chi := DirichletCharacter("189.5");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 189 = 3^{3} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	189.ba (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:	$1.50917259820$
Analytic rank:	$0$
Dimension:	$132$
Relative dimension:	$22$ over $\Q(\zeta_{18})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label			131.15
Character	$\chi$	$=$	189.131
Dual form			189.2.ba.a.101.15

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	\(q+(0.594351 + 0.708320i) q^{2} +(0.665198 + 1.59922i) q^{3} +(0.198832 - 1.12763i) q^{4} +(-0.386349 - 0.324185i) q^{5} +(-0.737399 + 1.42167i) q^{6} +(0.529787 + 2.59217i) q^{7} +(2.51844 - 1.45402i) q^{8} +(-2.11502 + 2.12760i) q^{9} -0.466338i q^{10} +(3.12271 + 3.72150i) q^{11} +(1.93560 - 0.432124i) q^{12} +(-1.60911 - 4.42100i) q^{13} +(-1.52120 + 1.91591i) q^{14} +(0.261446 - 0.833505i) q^{15} +(0.374792 + 0.136413i) q^{16} -4.77392 q^{17} +(-2.76409 - 0.233571i) q^{18} -6.37115i q^{19} +(-0.442381 + 0.371202i) q^{20} +(-3.79304 + 2.57155i) q^{21} +(-0.780028 + 4.42376i) q^{22} +(1.22699 + 3.37113i) q^{23} +(4.00056 + 3.06033i) q^{24} +(-0.824071 - 4.67354i) q^{25} +(2.17510 - 3.76739i) q^{26} +(-4.80941 - 1.96711i) q^{27} +(3.02836 - 0.0819996i) q^{28} +(0.997075 - 2.73944i) q^{29} +(0.745779 - 0.310208i) q^{30} +(-0.773023 - 0.136305i) q^{31} +(-1.86308 - 5.11878i) q^{32} +(-3.87429 + 7.46945i) q^{33} +(-2.83739 - 3.38147i) q^{34} +(0.635660 - 1.17323i) q^{35} +(1.97862 + 2.80801i) q^{36} +(2.73726 + 4.74107i) q^{37} +(4.51281 - 3.78670i) q^{38} +(5.99978 - 5.51416i) q^{39} +(-1.44437 - 0.254681i) q^{40} +(5.44849 - 1.98309i) q^{41} +(-4.07587 - 1.15828i) q^{42} +(-1.36729 - 7.75429i) q^{43} +(4.81739 - 2.78132i) q^{44} +(1.50687 - 0.136337i) q^{45} +(-1.65857 + 2.87274i) q^{46} +(1.33467 + 7.56931i) q^{47} +(0.0311561 + 0.690117i) q^{48} +(-6.43865 + 2.74659i) q^{49} +(2.82057 - 3.36143i) q^{50} +(-3.17561 - 7.63457i) q^{51} +(-5.30521 + 0.935452i) q^{52} +(-4.26125 + 2.46023i) q^{53} +(-1.46513 - 4.57576i) q^{54} -2.45014i q^{55} +(5.10329 + 5.75788i) q^{56} +(10.1889 - 4.23808i) q^{57} +(2.53301 - 0.921941i) q^{58} +(-5.01169 + 1.82411i) q^{59} +(-0.887906 - 0.460543i) q^{60} +(-7.07246 + 1.24706i) q^{61} +(-0.362900 - 0.628561i) q^{62} +(-6.63560 - 4.35531i) q^{63} +(2.91725 - 5.05283i) q^{64} +(-0.811544 + 2.22970i) q^{65} +(-7.59344 + 1.69524i) q^{66} +(6.70384 + 5.62519i) q^{67} +(-0.949211 + 5.38324i) q^{68} +(-4.57499 + 4.20470i) q^{69} +(1.20883 - 0.247060i) q^{70} +(-11.3110 - 6.53043i) q^{71} +(-2.23298 + 8.43351i) q^{72} +(8.42907 + 4.86653i) q^{73} +(-1.73130 + 4.75671i) q^{74} +(6.92586 - 4.42671i) q^{75} +(-7.18433 - 1.26679i) q^{76} +(-7.99238 + 10.0662i) q^{77} +(7.47176 + 0.972412i) q^{78} +(-3.63977 + 3.05413i) q^{79} +(-0.100577 - 0.174205i) q^{80} +(-0.0533607 - 8.99984i) q^{81} +(4.64298 + 2.68063i) q^{82} +(2.75845 + 1.00400i) q^{83} +(2.14559 + 4.78847i) q^{84} +(1.84440 + 1.54764i) q^{85} +(4.67987 - 5.57725i) q^{86} +(5.04423 - 0.227727i) q^{87} +(13.2755 + 4.83188i) q^{88} +11.2094 q^{89} +(0.992182 + 0.986316i) q^{90} +(10.6075 - 6.51327i) q^{91} +(4.04537 - 0.713308i) q^{92} +(-0.296232 - 1.32691i) q^{93} +(-4.56823 + 5.44420i) q^{94} +(-2.06543 + 2.46149i) q^{95} +(6.94674 - 6.38448i) q^{96} +(-2.41733 + 0.426241i) q^{97} +(-5.77228 - 2.92818i) q^{98} +(-14.5225 - 1.22718i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 132 q - 3 q^{2} - 9 q^{3} - 3 q^{4} - 9 q^{5} - 18 q^{6} - 6 q^{7} - 18 q^{8} + 3 q^{9} - 9 q^{11} - 9 q^{12} + 3 q^{14} - 24 q^{15} + 3 q^{16} - 18 q^{17} - 3 q^{18} + 18 q^{20} - 21 q^{21} - 12 q^{22}+ \cdots + 96 q^{99}+O(q^{100}) $ 132 * q - 3 * q^2 - 9 * q^3 - 3 * q^4 - 9 * q^5 - 18 * q^6 - 6 * q^7 - 18 * q^8 + 3 * q^9 - 9 * q^11 - 9 * q^12 + 3 * q^14 - 24 * q^15 + 3 * q^16 - 18 * q^17 - 3 * q^18 + 18 * q^20 - 21 * q^21 - 12 * q^22 - 6 * q^23 - 9 * q^24 - 3 * q^25 - 12 * q^28 + 6 * q^29 + 51 * q^30 - 9 * q^31 + 3 * q^32 - 9 * q^33 - 18 * q^34 + 18 * q^35 + 3 * q^37 - 99 * q^38 - 36 * q^39 - 54 * q^40 - 45 * q^42 - 12 * q^43 - 9 * q^44 - 9 * q^45 + 3 * q^46 + 45 * q^47 - 24 * q^49 - 9 * q^50 - 48 * q^51 - 9 * q^52 - 45 * q^53 + 171 * q^54 + 3 * q^56 - 3 * q^58 + 36 * q^59 + 57 * q^60 - 9 * q^61 - 99 * q^62 - 33 * q^63 + 18 * q^64 + 69 * q^65 - 9 * q^66 - 3 * q^67 + 36 * q^68 + 108 * q^69 + 66 * q^70 + 18 * q^71 - 129 * q^72 - 9 * q^73 + 75 * q^74 + 36 * q^75 + 36 * q^76 + 15 * q^77 + 66 * q^78 - 21 * q^79 + 72 * q^80 - 33 * q^81 - 18 * q^82 - 90 * q^83 - 120 * q^84 + 9 * q^85 - 105 * q^86 - 54 * q^87 - 63 * q^88 - 18 * q^89 + 81 * q^90 + 6 * q^91 + 150 * q^92 + 21 * q^93 - 9 * q^94 + 45 * q^95 - 81 * q^96 + 27 * q^98 + 96 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/189\mathbb{Z}\right)^\times$.

$n$	$29$	$136$
$\chi(n)$	$e\left(\frac{11}{18}\right)$	$e\left(\frac{5}{6}\right)$

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

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

$2$	0.594351	+	0.708320i	0.420270	+	0.500858i	0.934089	−	0.357041i	$-0.116214\pi$
$2$	0.594351	+	0.708320i	0.420270	+	0.500858i	−0.513819	+	0.857898i	$0.671770\pi$
$3$	0.665198	+	1.59922i	0.384052	+	0.923311i
$3$	0.665198	+	1.59922i	0.384052	+	0.923311i
$4$	0.198832	−	1.12763i	0.0994162	−	0.563817i
$5$	−0.386349	−	0.324185i	−0.172781	−	0.144980i	0.552297	−	0.833648i	$-0.313752\pi$
$5$	−0.386349	−	0.324185i	−0.172781	−	0.144980i	−0.725077	+	0.688667i	$0.758196\pi$
$6$	−0.737399	+	1.42167i	−0.301042	+	0.580395i
$7$	0.529787	+	2.59217i	0.200241	+	0.979747i
$7$	0.529787	+	2.59217i	0.200241	+	0.979747i
$8$	2.51844	−	1.45402i	0.890401	−	0.514073i
$9$	−2.11502	+	2.12760i	−0.705007	+	0.709200i
$10$		−	0.466338i		−	0.147469i
$11$	3.12271	+	3.72150i	0.941533	+	1.12208i	0.992361	+	0.123368i	$0.0393695\pi$
$11$	3.12271	+	3.72150i	0.941533	+	1.12208i	−0.0508281	+	0.998707i	$0.516186\pi$
$12$	1.93560	−	0.432124i	0.558760	−	0.124743i
$13$	−1.60911	−	4.42100i	−0.446287	−	1.22616i	−0.935290	−	0.353882i	$-0.884862\pi$
$13$	−1.60911	−	4.42100i	−0.446287	−	1.22616i	0.489003	−	0.872282i	$-0.337361\pi$
$14$	−1.52120	+	1.91591i	−0.406559	+	0.512050i
$15$	0.261446	−	0.833505i	0.0675050	−	0.215210i
$16$	0.374792	+	0.136413i	0.0936980	+	0.0341033i
$17$	−4.77392			−1.15785			−0.578923	−	0.815382i	$-0.696527\pi$
$17$	−4.77392			−1.15785			−0.578923	+	0.815382i	$0.696527\pi$
$18$	−2.76409	−	0.233571i	−0.651501	−	0.0550533i
$19$		−	6.37115i		−	1.46164i	−0.682569	−	0.730821i	$-0.739137\pi$
$19$		−	6.37115i		−	1.46164i	0.682569	−	0.730821i	$-0.260863\pi$
$20$	−0.442381	+	0.371202i	−0.0989195	+	0.0830033i
$21$	−3.79304	+	2.57155i	−0.827708	+	0.561159i
$22$	−0.780028	+	4.42376i	−0.166302	+	0.943148i
$23$	1.22699	+	3.37113i	0.255845	+	0.702929i	0.999413	+	0.0342682i	$0.0109100\pi$
$23$	1.22699	+	3.37113i	0.255845	+	0.702929i	−0.743567	+	0.668661i	$0.766868\pi$
$24$	4.00056	+	3.06033i	0.816611	+	0.624686i
$25$	−0.824071	−	4.67354i	−0.164814	−	0.934708i
$26$	2.17510	−	3.76739i	0.426573	−	0.738846i
$27$	−4.80941	−	1.96711i	−0.925572	−	0.378571i
$28$	3.02836	−	0.0819996i	0.572305	−	0.0154965i
$29$	0.997075	−	2.73944i	0.185152	−	0.508701i	−0.812039	−	0.583604i	$-0.801642\pi$
$29$	0.997075	−	2.73944i	0.185152	−	0.508701i	0.997191	+	0.0749022i	$0.0238645\pi$
$30$	0.745779	−	0.310208i	0.136160	−	0.0566359i
$31$	−0.773023	−	0.136305i	−0.138839	−	0.0244811i	0.103797	−	0.994599i	$-0.466901\pi$
$31$	−0.773023	−	0.136305i	−0.138839	−	0.0244811i	−0.242636	+	0.970117i	$0.578012\pi$
$32$	−1.86308	−	5.11878i	−0.329349	−	0.904880i
$33$	−3.87429	+	7.46945i	−0.674427	+	1.30026i
$34$	−2.83739	−	3.38147i	−0.486608	−	0.579916i
$35$	0.635660	−	1.17323i	0.107446	−	0.198312i
$36$	1.97862	+	2.80801i	0.329770	+	0.468001i
$37$	2.73726	+	4.74107i	0.450002	+	0.779426i	0.998386	−	0.0568005i	$-0.0180899\pi$
$37$	2.73726	+	4.74107i	0.450002	+	0.779426i	−0.548383	+	0.836227i	$0.684757\pi$
$38$	4.51281	−	3.78670i	0.732075	−	0.614284i
$39$	5.99978	−	5.51416i	0.960733	−	0.882973i
$40$	−1.44437	−	0.254681i	−0.228374	−	0.0402686i
$41$	5.44849	−	1.98309i	0.850912	−	0.309707i	0.120500	−	0.992713i	$-0.461550\pi$
$41$	5.44849	−	1.98309i	0.850912	−	0.309707i	0.730412	+	0.683007i	$0.239328\pi$
$42$	−4.07587	−	1.15828i	−0.628921	−	0.178726i
$43$	−1.36729	−	7.75429i	−0.208510	−	1.18252i	−0.891820	−	0.452390i	$-0.850571\pi$
$43$	−1.36729	−	7.75429i	−0.208510	−	1.18252i	0.683310	−	0.730128i	$-0.260540\pi$
$44$	4.81739	−	2.78132i	0.726249	−	0.419300i
$45$	1.50687	−	0.136337i	0.224631	−	0.0203239i
$46$	−1.65857	+	2.87274i	−0.244544	+	0.423562i
$47$	1.33467	+	7.56931i	0.194682	+	1.10410i	0.912871	+	0.408249i	$0.133861\pi$
$47$	1.33467	+	7.56931i	0.194682	+	1.10410i	−0.718188	+	0.695849i	$0.755028\pi$
$48$	0.0311561	+	0.690117i	0.00449700	+	0.0996099i
$49$	−6.43865	+	2.74659i	−0.919807	+	0.392370i
$50$	2.82057	−	3.36143i	0.398889	−	0.475378i
$51$	−3.17561	−	7.63457i	−0.444674	−	1.06905i
$52$	−5.30521	+	0.935452i	−0.735700	+	0.129724i
$53$	−4.26125	+	2.46023i	−0.585328	+	0.337939i	−0.763248	−	0.646106i	$-0.776396\pi$
$53$	−4.26125	+	2.46023i	−0.585328	+	0.337939i	0.177920	+	0.984045i	$0.443063\pi$
$54$	−1.46513	−	4.57576i	−0.199379	−	0.622682i
$55$		−	2.45014i		−	0.330376i
$56$	5.10329	+	5.75788i	0.681956	+	0.769429i
$57$	10.1889	−	4.23808i	1.34955	−	0.561347i
$58$	2.53301	−	0.921941i	0.332601	−	0.121057i
$59$	−5.01169	+	1.82411i	−0.652467	+	0.237478i	−0.646981	−	0.762507i	$-0.723969\pi$
$59$	−5.01169	+	1.82411i	−0.652467	+	0.237478i	−0.00548607	+	0.999985i	$0.501746\pi$
$60$	−0.887906	−	0.460543i	−0.114628	−	0.0594559i
$61$	−7.07246	+	1.24706i	−0.905535	+	0.159670i	−0.606975	−	0.794721i	$-0.707617\pi$
$61$	−7.07246	+	1.24706i	−0.905535	+	0.159670i	−0.298560	+	0.954391i	$0.596506\pi$
$62$	−0.362900	−	0.628561i	−0.0460883	−	0.0798273i
$63$	−6.63560	−	4.35531i	−0.836007	−	0.548718i
$64$	2.91725	−	5.05283i	0.364656	−	0.631603i
$65$	−0.811544	+	2.22970i	−0.100660	+	0.276560i
$66$	−7.59344	+	1.69524i	−0.934688	+	0.208669i
$67$	6.70384	+	5.62519i	0.819005	+	0.687227i	0.952739	−	0.303790i	$-0.0982523\pi$
$67$	6.70384	+	5.62519i	0.819005	+	0.687227i	−0.133734	+	0.991017i	$0.542697\pi$
$68$	−0.949211	+	5.38324i	−0.115109	+	0.652814i
$69$	−4.57499	+	4.20470i	−0.550764	+	0.506187i
$70$	1.20883	−	0.247060i	0.144482	−	0.0295293i
$71$	−11.3110	−	6.53043i	−1.34237	−	0.775019i	−0.355217	−	0.934784i	$-0.615593\pi$
$71$	−11.3110	−	6.53043i	−1.34237	−	0.775019i	−0.987155	+	0.159764i	$0.948927\pi$
$72$	−2.23298	+	8.43351i	−0.263159	+	0.993898i
$73$	8.42907	+	4.86653i	0.986548	+	0.569584i	0.904241	−	0.427023i	$-0.140438\pi$
$73$	8.42907	+	4.86653i	0.986548	+	0.569584i	0.0823076	+	0.996607i	$0.473771\pi$
$74$	−1.73130	+	4.75671i	−0.201260	+	0.552956i
$75$	6.92586	−	4.42671i	0.799729	−	0.511152i
$76$	−7.18433	−	1.26679i	−0.824099	−	0.145311i
$77$	−7.99238	+	10.0662i	−0.910816	+	1.14715i
$78$	7.47176	+	0.972412i	0.846011	+	0.110104i
$79$	−3.63977	+	3.05413i	−0.409506	+	0.343617i	−0.824154	−	0.566365i	$-0.808349\pi$
$79$	−3.63977	+	3.05413i	−0.409506	+	0.343617i	0.414648	+	0.909982i	$0.363905\pi$
$80$	−0.100577	−	0.174205i	−0.0112449	−	0.0194767i
$81$	−0.0533607	−	8.99984i	−0.00592897	−	0.999982i
$82$	4.64298	+	2.68063i	0.512731	+	0.296026i
$83$	2.75845	+	1.00400i	0.302780	+	0.110203i	0.488942	−	0.872316i	$-0.337383\pi$
$83$	2.75845	+	1.00400i	0.302780	+	0.110203i	−0.186163	+	0.982519i	$0.559605\pi$
$84$	2.14559	+	4.78847i	0.234103	+	0.522465i
$85$	1.84440	+	1.54764i	0.200053	+	0.167865i
$86$	4.67987	−	5.57725i	0.504643	−	0.601410i
$87$	5.04423	−	0.227727i	0.540798	−	0.0244149i
$88$	13.2755	+	4.83188i	1.41517	+	0.515080i
$89$	11.2094			1.18819			0.594097	−	0.804394i	$-0.297510\pi$
$89$	11.2094			1.18819			0.594097	+	0.804394i	$0.297510\pi$
$90$	0.992182	+	0.986316i	0.104585	+	0.103967i
$91$	10.6075	−	6.51327i	1.11197	−	0.682776i
$92$	4.04537	−	0.713308i	0.421759	−	0.0743675i
$93$	−0.296232	−	1.32691i	−0.0307178	−	0.137594i
$94$	−4.56823	+	5.44420i	−0.471177	+	0.561527i
$95$	−2.06543	+	2.46149i	−0.211909	+	0.252543i
$96$	6.94674	−	6.38448i	0.708999	−	0.651614i
$97$	−2.41733	+	0.426241i	−0.245443	+	0.0432783i	−0.295016	−	0.955492i	$-0.595325\pi$
$97$	−2.41733	+	0.426241i	−0.245443	+	0.0432783i	0.0495730	+	0.998771i	$0.484214\pi$
$98$	−5.77228	−	2.92818i	−0.583089	−	0.295791i
$99$	−14.5225	−	1.22718i	−1.45956	−	0.123336i
$100$	−5.43390			−0.543390
$101$	−5.68215	−	2.06813i	−0.565395	−	0.205787i	0.0434782	−	0.999054i	$-0.486156\pi$
$101$	−5.68215	−	2.06813i	−0.565395	−	0.205787i	−0.608874	+	0.793267i	$0.708378\pi$
$102$	3.52029	−	6.78696i	0.348561	−	0.672009i
$103$	−6.28671	+	7.49221i	−0.619448	+	0.738229i	−0.980975	−	0.194132i	$-0.937811\pi$
$103$	−6.28671	+	7.49221i	−0.619448	+	0.738229i	0.361528	+	0.932361i	$0.382255\pi$
$104$	−10.4807	−	8.79431i	−1.02771	−	0.862354i
$105$	2.29910	+	0.236130i	0.224369	+	0.0230439i
$106$	−4.27531	−	1.55609i	−0.415255	−	0.151140i
$107$	13.9175	+	8.03528i	1.34546	+	0.776800i	0.987602	−	0.156977i	$-0.0501749\pi$
$107$	13.9175	+	8.03528i	1.34546	+	0.776800i	0.357855	+	0.933777i	$0.383508\pi$
$108$	−3.17445	+	5.03214i	−0.305462	+	0.484217i
$109$	7.22285	+	12.5103i	0.691823	+	1.19827i	0.971240	+	0.238103i	$0.0765256\pi$
$109$	7.22285	+	12.5103i	0.691823	+	1.19827i	−0.279417	+	0.960170i	$0.590141\pi$
$110$	1.73548	−	1.45624i	0.165472	−	0.138847i
$111$	−5.76120	+	7.53123i	−0.546829	+	0.714833i
$112$	−0.155046	+	1.04379i	−0.0146504	+	0.0986292i
$113$	−1.50934	−	0.266138i	−0.141987	−	0.0250361i	0.102203	−	0.994764i	$-0.467411\pi$
$113$	−1.50934	−	0.266138i	−0.141987	−	0.0250361i	−0.244190	+	0.969727i	$0.578522\pi$
$114$	9.05769	+	4.69808i	0.848330	+	0.440016i
$115$	0.618824	−	1.70021i	0.0577056	−	0.158545i
$116$	−2.89084	−	1.66903i	−0.268407	−	0.154965i
$117$	12.8094	+	5.92696i	1.18423	+	0.547948i
$118$	−4.27075	−	2.46572i	−0.393155	−	0.226988i
$119$	−2.52916	−	12.3748i	−0.231848	−	1.13440i
$120$	−0.553499	−	2.47928i	−0.0505273	−	0.226326i
$121$	−2.18812	+	12.4095i	−0.198920	+	1.12813i
$122$	−5.08684	−	4.26837i	−0.460541	−	0.386440i
$123$	6.79573	+	7.39420i	0.612750	+	0.666713i
$124$	−0.307404	+	0.844586i	−0.0276057	+	0.0758461i
$125$	−2.45757	+	4.25664i	−0.219812	+	0.380725i
$126$	−0.858921	−	7.28871i	−0.0765188	−	0.649330i
$127$	5.33708	+	9.24410i	0.473590	+	0.820281i	0.999543	−	0.0302322i	$-0.00962466\pi$
$127$	5.33708	+	9.24410i	0.473590	+	0.820281i	−0.525953	+	0.850513i	$0.676291\pi$
$128$	−5.41617	+	0.955018i	−0.478727	+	0.0844124i
$129$	11.4913	−	7.34475i	1.01175	−	0.646669i
$130$	−2.06168	+	0.750390i	−0.180821	+	0.0658136i
$131$	−8.65448	+	3.14997i	−0.756146	+	0.275215i	−0.691189	−	0.722674i	$-0.742913\pi$
$131$	−8.65448	+	3.14997i	−0.756146	+	0.275215i	−0.0649563	+	0.997888i	$0.520691\pi$
$132$	7.65247	+	5.85395i	0.666062	+	0.509521i
$133$	16.5151	−	3.37535i	1.43204	−	0.292680i
$134$			8.09180i			0.699025i
$135$	1.22040	+	2.31913i	0.105036	+	0.199599i
$136$	−12.0228	+	6.94138i	−1.03095	+	0.595218i
$137$	−14.6628	+	2.58546i	−1.25273	+	0.220890i	−0.760364	−	0.649497i	$-0.774980\pi$
$137$	−14.6628	+	2.58546i	−1.25273	+	0.220890i	−0.492368	+	0.870387i	$0.663868\pi$
$138$	−5.69742	−	0.741490i	−0.484997	−	0.0631198i
$139$	6.89067	−	8.21198i	0.584459	−	0.696531i	−0.390072	−	0.920784i	$-0.627550\pi$
$139$	6.89067	−	8.21198i	0.584459	−	0.696531i	0.974531	+	0.224254i	$0.0719944\pi$
$140$	−1.19659	−	0.950068i	−0.101130	−	0.0802954i
$141$	−11.2172	+	7.16954i	−0.944658	+	0.603784i
$142$	−2.09709	−	11.8932i	−0.175984	−	0.998055i
$143$	11.4280	−	19.7938i	0.955654	−	1.65524i
$144$	−1.08293	+	0.508890i	−0.0902438	+	0.0424075i
$145$	−1.27331	+	0.735143i	−0.105742	+	0.0610503i
$146$	1.56277	+	8.86290i	0.129336	+	0.733499i
$147$	−8.67539	−	8.46980i	−0.715534	−	0.698578i
$148$	5.89045	−	2.14395i	0.484192	−	0.176231i
$149$	−2.09925	−	0.370154i	−0.171977	−	0.0303242i	0.0869964	−	0.996209i	$-0.472273\pi$
$149$	−2.09925	−	0.370154i	−0.171977	−	0.0303242i	−0.258974	+	0.965884i	$0.583384\pi$
$150$	7.25191	+	2.27471i	0.592116	+	0.185729i
$151$	5.09411	−	4.27446i	0.414552	−	0.347851i	−0.411534	−	0.911394i	$-0.635007\pi$
$151$	5.09411	−	4.27446i	0.414552	−	0.347851i	0.826086	+	0.563544i	$0.190562\pi$
$152$	−9.26378	−	16.0453i	−0.751391	−	1.30145i
$153$	10.0970	−	10.1570i	0.816291	−	0.821145i
$154$	−11.8804	+	0.321688i	−0.957347	+	0.0259223i
$155$	0.254469	+	0.303264i	0.0204394	+	0.0243588i
$156$	−5.02501	−	7.86195i	−0.402323	−	0.629460i
$157$	0.202620	+	0.556695i	0.0161709	+	0.0444291i	0.947515	−	0.319710i	$-0.103585\pi$
$157$	0.202620	+	0.556695i	0.0161709	+	0.0444291i	−0.931345	+	0.364139i	$0.881363\pi$
$158$	−4.32660	−	0.762897i	−0.344206	−	0.0606928i
$159$	−6.76904	−	5.17814i	−0.536820	−	0.410653i
$160$	−0.939632	+	2.58162i	−0.0742844	+	0.204095i
$161$	−8.08848	+	4.96655i	−0.637462	+	0.391419i
$162$	6.34305	−	5.38686i	0.498357	−	0.423232i
$163$	9.38783	−	16.2602i	0.735311	−	1.27360i	−0.219275	−	0.975663i	$-0.570369\pi$
$163$	9.38783	−	16.2602i	0.735311	−	1.27360i	0.954587	−	0.297934i	$-0.0962975\pi$
$164$	−1.15286	−	6.53821i	−0.0900235	−	0.510549i
$165$	3.91831	−	1.62983i	0.305040	−	0.126882i
$166$	0.928340	+	2.55059i	0.0720531	+	0.197964i
$167$	−2.39928	+	13.6070i	−0.185662	+	1.05294i	0.739441	+	0.673221i	$0.235090\pi$
$167$	−2.39928	+	13.6070i	−0.185662	+	1.05294i	−0.925102	+	0.379718i	$0.876021\pi$
$168$	−5.81343	+	11.9914i	−0.448516	+	0.925159i
$169$	−6.99739	+	5.87151i	−0.538261	+	0.451654i
$170$			2.22626i			0.170747i
$171$	13.5553	+	13.4751i	1.03660	+	1.03047i
$172$	−9.01587			−0.687454
$173$	4.13775	+	1.50602i	0.314588	+	0.114501i	0.494488	−	0.869184i	$-0.335355\pi$
$173$	4.13775	+	1.50602i	0.314588	+	0.114501i	−0.179901	+	0.983685i	$0.557578\pi$
$174$	3.15934	+	3.43757i	0.239509	+	0.260602i
$175$	11.6780	−	4.61211i	0.882775	−	0.348643i
$176$	0.662705	+	1.82077i	0.0499533	+	0.137246i
$177$	−6.25092	−	6.80141i	−0.469848	−	0.511226i
$178$	6.66231	+	7.93983i	0.499361	+	0.595116i
$179$		−	3.01335i		−	0.225228i	−0.993639	−	0.112614i	$-0.964078\pi$
$179$		−	3.01335i		−	0.225228i	0.993639	−	0.112614i	$-0.0359224\pi$
$180$	0.145877	−	1.72631i	0.0108730	−	0.128672i
$181$	1.98157	−	1.14406i	0.147289	−	0.0850373i	−0.424544	−	0.905407i	$-0.639566\pi$
$181$	1.98157	−	1.14406i	0.147289	−	0.0850373i	0.571833	+	0.820370i	$0.306232\pi$
$182$	10.9180	+	3.64231i	0.809299	+	0.269986i
$183$	−6.69892	−	10.4809i	−0.495198	−	0.774769i
$184$	7.99179	+	6.70590i	0.589162	+	0.494366i
$185$	0.479448	−	2.71908i	0.0352497	−	0.199911i
$186$	0.763808	−	0.998474i	0.0560051	−	0.0732117i
$187$	−14.9076	−	17.7662i	−1.09015	−	1.29919i
$188$	8.80080			0.641864
$189$	2.55112	−	13.5090i	0.185567	−	0.982632i
$190$	−2.97111			−0.215547
$191$	−8.45281	−	10.0737i	−0.611624	−	0.728905i	0.367982	−	0.929833i	$-0.380049\pi$
$191$	−8.45281	−	10.0737i	−0.611624	−	0.728905i	−0.979606	+	0.200928i	$0.935604\pi$
$192$	10.0211	+	1.30420i	0.723214	+	0.0941225i
$193$	−0.00650905	+	0.0369147i	−0.000468532	+	0.00265717i	−0.985041	−	0.172319i	$-0.944874\pi$
$193$	−0.00650905	+	0.0369147i	−0.000468532	+	0.00265717i	0.984573	+	0.174977i	$0.0559850\pi$
$194$	−1.73866	−	1.45891i	−0.124829	−	0.104744i
$195$	−4.10562	+	0.185353i	−0.294010	+	0.0132734i
$196$	1.81694	+	7.80656i	0.129781	+	0.557611i
$197$	−4.43094	+	2.55821i	−0.315692	+	0.182265i	−0.649471	−	0.760387i	$-0.725009\pi$
$197$	−4.43094	+	2.55821i	−0.315692	+	0.182265i	0.333779	+	0.942651i	$0.391676\pi$
$198$	−7.76221	−	11.0159i	−0.551636	−	0.782868i
$199$		−	6.17488i		−	0.437726i	−0.975756	−	0.218863i	$-0.929765\pi$
$199$		−	6.17488i		−	0.437726i	0.975756	−	0.218863i	$-0.0702348\pi$
$200$	−8.87079	−	10.5718i	−0.627260	−	0.747539i
$201$	−4.53655	+	14.4628i	−0.319983	+	1.02013i
$202$	−1.91229	−	5.25398i	−0.134548	−	0.369669i
$203$	7.62932	+	1.13326i	0.535473	+	0.0795395i
$204$	−9.24041	+	2.06293i	−0.646958	+	0.144434i
$205$	−2.74791	−	1.00016i	−0.191922	−	0.0698540i
$206$	−9.04339			−0.630083
$207$	−9.76753	−	4.51947i	−0.678890	−	0.314125i
$208$		−	1.87646i		−	0.130109i
$209$	23.7103	−	19.8953i	1.64007	−	1.37618i
$210$	1.19921	+	1.76884i	0.0827536	+	0.122061i
$211$	0.583521	−	3.30931i	0.0401712	−	0.227822i	−0.958112	−	0.286394i	$-0.907543\pi$
$211$	0.583521	−	3.30931i	0.0401712	−	0.227822i	0.998283	+	0.0585715i	$0.0186546\pi$
$212$	1.92697	+	5.29431i	0.132345	+	0.363615i
$213$	2.91952	−	22.4329i	0.200043	−	1.53708i
$214$	2.58034	+	14.6338i	0.176388	+	1.00035i
$215$	−1.98558	+	3.43912i	−0.135415	+	0.234546i
$216$	−14.9724	+	2.03893i	−1.01874	+	0.138732i
$217$	−0.0562129	−	2.07602i	−0.00381598	−	0.140929i
$218$	−4.56841	+	12.5516i	−0.309412	+	0.850103i
$219$	−2.17565	+	16.7172i	−0.147017	+	1.12964i
$220$	−2.76286	−	0.487167i	−0.186272	−	0.0328448i
$221$	7.68177	+	21.1055i	0.516732	+	1.41971i
$222$	−8.75869	+	0.395421i	−0.587845	+	0.0265389i
$223$	−4.25268	−	5.06814i	−0.284780	−	0.339388i	0.604623	−	0.796512i	$-0.293324\pi$
$223$	−4.25268	−	5.06814i	−0.284780	−	0.339388i	−0.889403	+	0.457124i	$0.848880\pi$
$224$	12.2817	−	7.54128i	0.820604	−	0.503873i
$225$	11.6864	+	8.13135i	0.779090	+	0.542090i
$226$	−0.708568	−	1.22728i	−0.0471333	−	0.0816372i
$227$	−8.02989	+	6.73788i	−0.532962	+	0.447209i	−0.869123	−	0.494596i	$-0.835316\pi$
$227$	−8.02989	+	6.73788i	−0.532962	+	0.447209i	0.336160	+	0.941805i	$0.390872\pi$
$228$	−2.75312	−	12.3320i	−0.182330	−	0.816707i
$229$	17.2043	+	3.03357i	1.13689	+	0.200464i	0.710245	−	0.703955i	$-0.248584\pi$
$229$	17.2043	+	3.03357i	1.13689	+	0.200464i	0.426645	+	0.904419i	$0.359695\pi$
$230$	1.57209	−	0.572193i	0.103660	−	0.0377293i
$231$	−21.4146	−	6.08558i	−1.40898	−	0.400402i
$232$	−1.47213	−	8.34887i	−0.0966501	−	0.548130i
$233$	−8.89526	+	5.13568i	−0.582748	+	0.336450i	−0.762225	−	0.647312i	$-0.775893\pi$
$233$	−8.89526	+	5.13568i	−0.582748	+	0.336450i	0.179477	+	0.983762i	$0.442560\pi$
$234$	3.41510	+	12.5959i	0.223252	+	0.823417i
$235$	1.93821	−	3.35708i	0.126435	−	0.218992i
$236$	1.06044	+	6.01405i	0.0690287	+	0.391481i
$237$	−7.30540	−	3.78920i	−0.474537	−	0.246135i
$238$	7.26211	−	9.14643i	0.470733	−	0.592875i
$239$	14.4600	−	17.2328i	0.935342	−	1.11470i	−0.0578640	−	0.998324i	$-0.518429\pi$
$239$	14.4600	−	17.2328i	0.935342	−	1.11470i	0.993206	−	0.116372i	$-0.0371266\pi$
$240$	0.211689	−	0.276727i	0.0136645	−	0.0178626i
$241$	8.43248	−	1.48687i	0.543184	−	0.0957780i	0.104678	−	0.994506i	$-0.466619\pi$
$241$	8.43248	−	1.48687i	0.543184	−	0.0957780i	0.438506	+	0.898728i	$0.355508\pi$
$242$	−10.0904	+	5.82569i	−0.648635	+	0.374489i
$243$	14.3573	−	6.07202i	0.921018	−	0.389520i
$244$			8.22310i			0.526430i
$245$	3.37797	+	1.02617i	0.215811	+	0.0655598i
$246$	−1.19841	+	9.20830i	−0.0764080	+	0.587100i
$247$	−28.1668	+	10.2519i	−1.79221	+	0.652312i
$248$	−2.14500	+	0.780716i	−0.136208	+	0.0495755i
$249$	0.229308	+	5.07924i	0.0145318	+	0.321884i
$250$	−4.47572	+	0.789190i	−0.283069	+	0.0499128i
$251$	8.90861	+	15.4302i	0.562307	+	0.973943i	0.997295	+	0.0735073i	$0.0234192\pi$
$251$	8.90861	+	15.4302i	0.562307	+	0.973943i	−0.434988	+	0.900436i	$0.643247\pi$
$252$	−6.23058	+	6.61656i	−0.392489	+	0.416804i
$253$	−8.71413	+	15.0933i	−0.547853	+	0.948909i
$254$	−3.37568	+	9.27460i	−0.211809	+	0.581940i
$255$	−1.24812	+	3.97909i	−0.0781604	+	0.249180i
$256$	−12.8345	−	10.7695i	−0.802159	−	0.673091i
$257$	4.15085	−	23.5406i	0.258923	−	1.46842i	−0.526877	−	0.849942i	$-0.676637\pi$
$257$	4.15085	−	23.5406i	0.258923	−	1.46842i	0.785799	−	0.618482i	$-0.212252\pi$
$258$	12.0323	+	3.77417i	0.749098	+	0.234970i
$259$	−10.8395	+	9.60718i	−0.673532	+	0.596961i
$260$	2.35292	+	1.35846i	0.145922	+	0.0842482i
$261$	3.71960	+	7.91535i	0.230237	+	0.489948i
$262$	−7.37499	−	4.25795i	−0.455628	−	0.263057i
$263$	3.04119	−	8.35561i	0.187528	−	0.515229i	−0.809927	−	0.586531i	$-0.800493\pi$
$263$	3.04119	−	8.35561i	0.187528	−	0.515229i	0.997455	+	0.0713021i	$0.0227154\pi$
$264$	1.10358	+	24.4446i	0.0679206	+	1.50446i
$265$	2.44390	+	0.430926i	0.150128	+	0.0264716i
$266$	12.2066	+	9.69181i	0.748433	+	0.594243i
$267$	7.45647	+	17.9263i	0.456328	+	1.09707i
$268$	7.67611	−	6.44102i	0.468893	−	0.393448i
$269$	0.579284	+	1.00335i	0.0353195	+	0.0611752i	0.883145	−	0.469100i	$-0.155422\pi$
$269$	0.579284	+	1.00335i	0.0353195	+	0.0611752i	−0.847825	+	0.530276i	$0.822088\pi$
$270$	−0.917341	+	2.24281i	−0.0558276	+	0.136493i
$271$	−22.8894	−	13.2152i	−1.39043	−	0.802766i	−0.397069	−	0.917789i	$-0.629973\pi$
$271$	−22.8894	−	13.2152i	−1.39043	−	0.802766i	−0.993363	+	0.115023i	$0.963306\pi$
$272$	−1.78923	−	0.651226i	−0.108488	−	0.0394864i
$273$	17.4722	+	12.6311i	1.05747	+	0.764468i
$274$	−10.5462	−	8.84932i	−0.637120	−	0.534607i
$275$	14.8193	−	17.6609i	0.893635	−	1.06499i
$276$	3.83171	+	5.99495i	0.230642	+	0.360854i
$277$	10.3151	+	3.75438i	0.619773	+	0.225579i	0.632774	−	0.774336i	$-0.281916\pi$
$277$	10.3151	+	3.75438i	0.619773	+	0.225579i	−0.0130009	+	0.999915i	$0.504138\pi$
$278$	9.91218			0.594493
$279$	1.92496	−	1.35640i	0.115245	−	0.0812053i
$280$	−0.105032	−	3.87897i	−0.00627685	−	0.231813i
$281$	0.726106	−	0.128032i	0.0433159	−	0.00763776i	−0.151948	−	0.988388i	$-0.548555\pi$
$281$	0.726106	−	0.128032i	0.0433159	−	0.00763776i	0.195264	+	0.980751i	$0.437444\pi$
$282$	−11.7453	−	3.68414i	−0.699421	−	0.219387i
$283$	−5.91960	+	7.05471i	−0.351884	+	0.419359i	−0.912731	−	0.408560i	$-0.866031\pi$
$283$	−5.91960	+	7.05471i	−0.351884	+	0.419359i	0.560847	+	0.827919i	$0.310475\pi$
$284$	−9.61294	+	11.4563i	−0.570423	+	0.679803i
$285$	−5.31039	−	1.66571i	−0.314560	−	0.0986681i
$286$	20.8126	−	3.66982i	1.23067	−	0.217001i
$287$	8.02704	+	13.0728i	0.473821	+	0.771662i
$288$	14.8312	+	6.86243i	0.873935	+	0.404373i
$289$	5.79036			0.340609
$290$	−1.27751	−	0.464974i	−0.0750178	−	0.0273042i
$291$	−2.28966	−	3.58232i	−0.134222	−	0.209999i
$292$	7.16364	−	8.53729i	0.419220	−	0.499607i
$293$	17.3436	+	14.5530i	1.01322	+	0.850196i	0.988761	−	0.149505i	$-0.0477679\pi$
$293$	17.3436	+	14.5530i	1.01322	+	0.850196i	0.0244632	+	0.999701i	$0.492212\pi$
$294$	0.843104	−	11.1790i	0.0491708	−	0.651972i
$295$	2.52761	+	0.919975i	0.147163	+	0.0535630i
$296$	13.7872	+	7.96005i	0.801365	+	0.462668i
$297$	−7.69779	−	24.0410i	−0.446671	−	1.39500i
$298$	−0.985503	−	1.70694i	−0.0570887	−	0.0988805i
$299$	12.9294	−	10.8490i	0.747726	−	0.627416i
$300$	−3.61462	−	8.69001i	−0.208690	−	0.501718i
$301$	19.3760	−	7.65237i	1.11682	−	0.441075i
$302$	6.05537	+	1.06773i	0.348448	+	0.0614407i
$303$	−0.472352	−	10.4627i	−0.0271359	−	0.601069i
$304$	0.869108	−	2.38786i	0.0498468	−	0.136953i
$305$	3.13672	+	1.81098i	0.179608	+	0.103697i
$306$	13.1955	+	1.11505i	0.754339	+	0.0637433i
$307$	18.3264	+	10.5807i	1.04594	+	0.603875i	0.921511	−	0.388353i	$-0.126956\pi$
$307$	18.3264	+	10.5807i	1.04594	+	0.603875i	0.124432	+	0.992228i	$0.460289\pi$
$308$	9.76184	+	11.0140i	0.556233	+	0.627579i
$309$	−16.1636	−	5.07004i	−0.919516	−	0.288424i
$310$	−0.0635642	+	0.360491i	−0.00361020	+	0.0204745i
$311$	6.35195	+	5.32992i	0.360186	+	0.302232i	0.804865	−	0.593458i	$-0.202238\pi$
$311$	6.35195	+	5.32992i	0.360186	+	0.302232i	−0.444679	+	0.895690i	$0.646682\pi$
$312$	7.09235	−	22.6109i	0.401525	−	1.28009i
$313$	−9.78199	+	26.8758i	−0.552911	+	1.51911i	0.276807	+	0.960926i	$0.410724\pi$
$313$	−9.78199	+	26.8758i	−0.552911	+	1.51911i	−0.829717	+	0.558184i	$0.811498\pi$
$314$	−0.273890	+	0.474392i	−0.0154565	+	0.0267715i
$315$	1.15173	+	3.83384i	0.0648926	+	0.216012i
$316$	2.72024	+	4.71159i	0.153025	+	0.265048i
$317$	−19.8974	+	3.50845i	−1.11755	+	0.197054i	−0.701765	−	0.712409i	$-0.747604\pi$
$317$	−19.8974	+	3.50845i	−1.11755	+	0.197054i	−0.415785	+	0.909463i	$0.636493\pi$
$318$	−0.355403	−	7.87228i	−0.0199300	−	0.441455i
$319$	13.3084	−	4.84387i	0.745128	−	0.271204i
$320$	−2.76513	+	1.00642i	−0.154575	+	0.0562609i
$321$	−3.59229	+	27.6023i	−0.200502	+	1.54061i
$322$	−8.32530	−	2.77736i	−0.463951	−	0.154776i
$323$			30.4154i			1.69236i
$324$	−10.1591	−	1.72929i	−0.564397	−	0.0960716i
$325$	−19.3357	+	11.1635i	−1.07255	+	0.619238i
$326$	17.0971	−	3.01468i	0.946920	−	0.166968i
$327$	−15.2022	+	19.8728i	−0.840683	+	1.09897i
$328$	10.8382	−	12.9165i	0.598441	−	0.713194i
$329$	−18.9138	+	7.46982i	−1.04275	+	0.411825i
$330$	3.48329	+	1.80673i	0.191749	+	0.0994572i
$331$	−2.59475	−	14.7155i	−0.142620	−	0.808840i	−0.969247	−	0.246089i	$-0.920854\pi$
$331$	−2.59475	−	14.7155i	−0.142620	−	0.808840i	0.826627	−	0.562750i	$-0.190257\pi$
$332$	1.68061	−	2.91090i	0.0922354	−	0.159756i
$333$	−15.8764	−	4.20368i	−0.870024	−	0.230360i
$334$	−11.0641	+	6.38786i	−0.605400	+	0.349528i
$335$	−0.766419	−	4.34658i	−0.0418739	−	0.237479i
$336$	−1.77239	+	0.446377i	−0.0966920	+	0.0243519i
$337$	−10.4942	+	3.81956i	−0.571653	+	0.208065i	−0.611641	−	0.791136i	$-0.709490\pi$
$337$	−10.4942	+	3.81956i	−0.571653	+	0.208065i	0.0399880	+	0.999200i	$0.487268\pi$
$338$	−8.31781	−	1.46665i	−0.452429	−	0.0797755i
$339$	−0.578399	−	2.59081i	−0.0314143	−	0.140713i
$340$	2.11190	−	1.77209i	0.114534	−	0.0961051i
$341$	−1.90667	−	3.30245i	−0.103252	−	0.178838i
$342$	−1.48812	+	17.6104i	−0.0804682	+	0.952262i
$343$	−10.5307	−	15.2349i	−0.568606	−	0.822610i
$344$	−14.7183	−	17.5406i	−0.793559	−	0.945727i
$345$	3.13065	−	0.141337i	0.168548	−	0.00760930i
$346$	1.39253	+	3.82596i	0.0748631	+	0.205685i
$347$	17.9205	+	3.15986i	0.962022	+	0.169630i	0.632537	−	0.774530i	$-0.282014\pi$
$347$	17.9205	+	3.15986i	0.962022	+	0.169630i	0.329485	+	0.944161i	$0.393125\pi$
$348$	0.746163	−	5.73332i	0.0399985	−	0.307338i
$349$	−8.74024	+	24.0136i	−0.467854	+	1.28542i	0.451599	+	0.892221i	$0.350854\pi$
$349$	−8.74024	+	24.0136i	−0.467854	+	1.28542i	−0.919454	+	0.393198i	$0.871369\pi$
$350$	10.2077	+	5.53055i	0.545624	+	0.295621i
$351$	−0.957726	+	24.4277i	−0.0511196	+	1.30385i
$352$	13.2317	−	22.9179i	0.705250	−	1.22153i
$353$	−2.22706	−	12.6303i	−0.118535	−	0.672243i	−0.984939	−	0.172901i	$-0.944686\pi$
$353$	−2.22706	−	12.6303i	−0.118535	−	0.672243i	0.866405	−	0.499343i	$-0.166425\pi$
$354$	1.10234	−	8.47008i	0.0585885	−	0.450179i
$355$	2.25294	+	6.18990i	0.119574	+	0.328526i
$356$	2.22879	−	12.6401i	0.118126	−	0.669924i
$357$	18.1077	−	12.2764i	0.958359	−	0.649736i
$358$	2.13441	−	1.79099i	0.112807	−	0.0946565i
$359$		−	21.4389i		−	1.13150i	−0.824577	−	0.565750i	$-0.808587\pi$
$359$		−	21.4389i		−	1.13150i	0.824577	−	0.565750i	$-0.191413\pi$
$360$	3.59673	−	2.53438i	0.189564	−	0.133573i
$361$	−21.5916			−1.13640
$362$	1.98811	+	0.723612i	0.104493	+	0.0380322i
$363$	−21.3010	+	4.75546i	−1.11801	+	0.249597i
$364$	−5.23548	−	13.2564i	−0.274414	−	0.694824i
$365$	−1.67891	−	4.61276i	−0.0878780	−	0.241443i
$366$	3.44231	−	10.9743i	0.179932	−	0.573636i
$367$	−4.47982	−	5.33884i	−0.233844	−	0.278685i	0.636343	−	0.771407i	$-0.280447\pi$
$367$	−4.47982	−	5.33884i	−0.233844	−	0.278685i	−0.870187	+	0.492722i	$0.836002\pi$
$368$			1.43085i			0.0745882i
$369$	−7.30447	+	15.7865i	−0.380255	+	0.821812i
$370$	2.21094	−	1.27649i	0.114941	−	0.0663614i
$371$	−8.63489	−	9.74247i	−0.448301	−	0.505804i
$372$	−1.55517	+	0.0702097i	−0.0806316	+	0.00364020i
$373$	−8.84883	−	7.42505i	−0.458175	−	0.384454i	0.384284	−	0.923215i	$-0.374448\pi$
$373$	−8.84883	−	7.42505i	−0.458175	−	0.384454i	−0.842459	+	0.538760i	$0.818893\pi$
$374$	3.72379	−	21.1187i	0.192553	−	1.09202i
$375$	−8.44208	−	1.09869i	−0.435947	−	0.0567363i
$376$	14.3672	+	17.1222i	0.740933	+	0.883009i
$377$	−13.7155			−0.706382
$378$	11.0849	−	6.22205i	0.570147	−	0.320028i
$379$	6.46443			0.332055			0.166028	−	0.986121i	$-0.446906\pi$
$379$	6.46443			0.332055			0.166028	+	0.986121i	$0.446906\pi$
$380$	2.36498	+	2.81848i	0.121321	+	0.144585i
$381$	−11.2332	+	14.6843i	−0.575492	+	0.752302i
$382$	2.11144	−	11.9746i	0.108031	−	0.612673i
$383$	−1.78265	−	1.49582i	−0.0910889	−	0.0764327i	0.596106	−	0.802906i	$-0.296714\pi$
$383$	−1.78265	−	1.49582i	−0.0910889	−	0.0764327i	−0.687195	+	0.726473i	$0.741158\pi$
$384$	−5.13012	−	8.02639i	−0.261795	−	0.409595i
$385$	6.35116	−	1.29805i	0.323685	−	0.0661548i
$386$	−0.0300160	+	0.0173298i	−0.00152778	+	0.000882062i
$387$	19.3899	+	13.4915i	0.985643	+	0.685809i
$388$			2.81062i			0.142688i
$389$	−21.1876	−	25.2503i	−1.07425	−	1.28024i	−0.957921	−	0.287032i	$-0.907331\pi$
$389$	−21.1876	−	25.2503i	−1.07425	−	1.28024i	−0.116331	−	0.993211i	$-0.537113\pi$
$390$	−2.57147	−	2.79793i	−0.130211	−	0.141679i
$391$	−5.85756	−	16.0935i	−0.296230	−	0.813884i
$392$	−12.2217	+	16.2790i	−0.617291	+	0.822216i
$393$	−10.7945	−	11.7451i	−0.544508	−	0.592461i
$394$	−4.44556	−	1.61805i	−0.223964	−	0.0815163i
$395$	2.39633			0.120572
$396$	−4.27135	+	16.1320i	−0.214643	+	0.810665i
$397$		−	25.4001i		−	1.27479i	−0.770535	−	0.637397i	$-0.780011\pi$
$397$		−	25.4001i		−	1.27479i	0.770535	−	0.637397i	$-0.219989\pi$
$398$	4.37379	−	3.67005i	0.219238	−	0.183963i
$399$	16.3837	+	24.1660i	0.820213	+	1.20981i
$400$	0.328677	−	1.86402i	0.0164339	−	0.0932010i
$401$	−6.66838	−	18.3212i	−0.333003	−	0.914918i	−0.987326	−	0.158703i	$-0.949269\pi$
$401$	−6.66838	−	18.3212i	−0.333003	−	0.914918i	0.654323	−	0.756215i	$-0.272954\pi$
$402$	−12.9406	+	5.38265i	−0.645418	+	0.268462i
$403$	0.641277	+	3.63686i	0.0319443	+	0.181165i
$404$	−3.46190	+	5.99618i	−0.172236	+	0.298321i
$405$	−2.89700	+	3.49438i	−0.143953	+	0.173637i
$406$	3.73178	+	6.07756i	0.185205	+	0.301624i
$407$	−9.09623	+	24.9917i	−0.450883	+	1.23879i
$408$	−19.0984	−	14.6098i	−0.945510	−	0.723291i
$409$	−17.0494	−	3.00627i	−0.843038	−	0.148650i	−0.264581	−	0.964363i	$-0.585234\pi$
$409$	−17.0494	−	3.00627i	−0.843038	−	0.148650i	−0.578457	+	0.815713i	$0.696345\pi$
$410$	−0.924791	−	2.54084i	−0.0456722	−	0.125483i
$411$	−13.8884	−	21.7293i	−0.685065	−	1.07183i
$412$	7.19847	+	8.57880i	0.354643	+	0.422647i
$413$	−7.38352	−	12.0247i	−0.363319	−	0.591699i
$414$	−2.60411	−	9.60468i	−0.127985	−	0.472044i
$415$	−0.740246	−	1.28214i	−0.0363372	−	0.0629379i
$416$	−19.6322	+	16.4734i	−0.962547	+	0.807673i
$417$	17.7164	+	5.55711i	0.867577	+	0.272133i
$418$	28.1844	+	4.96967i	1.37854	+	0.243075i
$419$	3.08710	−	1.12361i	0.150815	−	0.0548920i	−0.265510	−	0.964108i	$-0.585540\pi$
$419$	3.08710	−	1.12361i	0.150815	−	0.0548920i	0.416324	+	0.909216i	$0.363318\pi$
$420$	0.723403	−	2.54559i	0.0352985	−	0.124212i
$421$	−0.564741	−	3.20281i	−0.0275238	−	0.156095i	0.967948	−	0.251150i	$-0.0808086\pi$
$421$	−0.564741	−	3.20281i	−0.0275238	−	0.156095i	−0.995472	+	0.0950543i	$0.969698\pi$
$422$	2.69087	−	1.55357i	0.130989	−	0.0756267i
$423$	−18.9273	−	13.1696i	−0.920279	−	0.640329i
$424$	−7.15446	+	12.3919i	−0.347451	+	0.601803i
$425$	3.93405	+	22.3111i	0.190830	+	1.08225i
$426$	17.6249	−	11.2650i	0.853928	−	0.545793i
$427$	−6.97949	−	17.6723i	−0.337761	−	0.855223i
$428$	11.8281	−	14.0962i	0.571734	−	0.681366i
$429$	39.2565	+	5.10904i	1.89532	+	0.246667i
$430$	−3.61613	+	0.637621i	−0.174385	+	0.0307488i
$431$	−29.6610	+	17.1248i	−1.42872	+	0.824872i	−0.997020	−	0.0771457i	$-0.975419\pi$
$431$	−29.6610	+	17.1248i	−1.42872	+	0.824872i	−0.431700	+	0.902017i	$0.642086\pi$
$432$	−1.53419	−	1.39333i	−0.0738137	−	0.0670364i
$433$		−	27.4243i		−	1.31793i	−0.752174	−	0.658965i	$-0.770995\pi$
$433$		−	27.4243i		−	1.31793i	0.752174	−	0.658965i	$-0.229005\pi$
$434$	1.43707	−	1.27370i	0.0689818	−	0.0611395i
$435$	−2.02266	−	1.54728i	−0.0969790	−	0.0741865i
$436$	15.5432	−	5.65727i	0.744386	−	0.270934i
$437$	21.4780	−	7.81734i	1.02743	−	0.373954i
$438$	−13.1342	+	8.39480i	−0.627576	+	0.401119i
$439$	3.72213	−	0.656313i	0.177648	−	0.0313241i	−0.0841165	−	0.996456i	$-0.526807\pi$
$439$	3.72213	−	0.656313i	0.177648	−	0.0313241i	0.261764	+	0.965132i	$0.415696\pi$
$440$	−3.56255	−	6.17051i	−0.169838	−	0.294168i
$441$	7.77424	−	19.5080i	0.370202	−	0.928951i
$442$	−10.3838	+	17.9852i	−0.493906	+	0.855470i
$443$	−7.38522	+	20.2907i	−0.350883	+	0.964042i	0.631205	+	0.775616i	$0.282561\pi$
$443$	−7.38522	+	20.2907i	−0.350883	+	0.964042i	−0.982087	+	0.188426i	$0.939661\pi$
$444$	7.34696	+	7.99398i	0.348671	+	0.379378i
$445$	−4.33074	−	3.63392i	−0.205297	−	0.172264i
$446$	1.06228	−	6.02451i	0.0503006	−	0.285269i
$447$	−0.804458	−	3.60339i	−0.0380496	−	0.170435i
$448$	14.6433	+	4.88508i	0.691830	+	0.230798i
$449$	−15.0109	−	8.66655i	−0.708408	−	0.409000i	0.102063	−	0.994778i	$-0.467456\pi$
$449$	−15.0109	−	8.66655i	−0.708408	−	0.409000i	−0.810471	+	0.585778i	$0.800789\pi$
$450$	1.18620	+	13.1106i	0.0559179	+	0.618037i
$451$	24.3942	+	14.0840i	1.14868	+	0.663188i
$452$	−0.600213	+	1.64907i	−0.0282316	+	0.0775657i
$453$	10.2244	+	5.30324i	0.480384	+	0.249168i
$454$	−9.54514	−	1.68307i	−0.447976	−	0.0789902i
$455$	−6.20969	−	0.922391i	−0.291115	−	0.0432424i
$456$	19.4978	−	25.4882i	0.913068	−	1.19359i
$457$	25.1386	−	21.0938i	1.17593	−	0.986726i	0.175938	−	0.984401i	$-0.443704\pi$
$457$	25.1386	−	21.0938i	1.17593	−	0.986726i	0.999997	−	0.00232513i	$-0.000740114\pi$
$458$	8.07662	+	13.9891i	0.377396	+	0.653669i
$459$	22.9598	+	9.39086i	1.07167	+	0.438328i
$460$	−1.79417	−	1.03586i	−0.0836535	−	0.0482974i
$461$	−0.748682	−	0.272498i	−0.0348696	−	0.0126915i	0.324526	−	0.945877i	$-0.394795\pi$
$461$	−0.748682	−	0.272498i	−0.0348696	−	0.0126915i	−0.359396	+	0.933185i	$0.617017\pi$
$462$	−8.41725	−	18.7853i	−0.391606	−	0.873973i
$463$	8.79280	+	7.37804i	0.408636	+	0.342887i	0.823820	−	0.566851i	$-0.191838\pi$
$463$	8.79280	+	7.37804i	0.408636	+	0.342887i	−0.415184	+	0.909737i	$0.636283\pi$
$464$	0.747391	−	0.890706i	0.0346968	−	0.0413500i
$465$	−0.315714	+	0.608683i	−0.0146409	+	0.0282270i
$466$	−8.92461	−	3.24829i	−0.413425	−	0.150474i
$467$	5.18972			0.240151			0.120076	−	0.992765i	$-0.461686\pi$
$467$	5.18972			0.240151			0.120076	+	0.992765i	$0.461686\pi$
$468$	9.23037	−	13.2659i	0.426674	−	0.613215i
$469$	−11.0298	+	20.3576i	−0.509310	+	0.940028i
$470$	3.52986	−	0.622410i	0.162820	−	0.0287096i
$471$	−0.755496	+	0.694347i	−0.0348114	+	0.0319938i
$472$	−9.96933	+	11.8810i	−0.458876	+	0.546867i
$473$	24.5880	−	29.3028i	1.13056	−	1.34734i
$474$	−1.65801	−	7.42668i	−0.0761548	−	0.341119i
$475$	−29.7758	+	5.25028i	−1.36621	+	0.240899i
$476$	−14.4571	+	0.391460i	−0.662642	+	0.0179425i
$477$	3.77825	−	14.2697i	0.172994	−	0.653364i
$478$	20.8007			0.951400
$479$	17.4081	+	6.33602i	0.795395	+	0.289500i	0.707577	−	0.706637i	$-0.249788\pi$
$479$	17.4081	+	6.33602i	0.795395	+	0.289500i	0.0878180	+	0.996137i	$0.472011\pi$
$480$	−4.75362	+	0.214608i	−0.216972	+	0.00979545i
$481$	16.5557	−	19.7303i	0.754874	−	0.899624i
$482$	6.06503	+	5.08917i	0.276255	+	0.231805i
$483$	−13.3231	−	9.63155i	−0.606220	−	0.438251i
$484$	13.5583	+	4.93481i	0.616285	+	0.224310i
$485$	1.07212	+	0.618987i	0.0486823	+	0.0281067i
$486$	12.8342	+	6.56062i	0.582170	+	0.297596i
$487$	12.9714	+	22.4672i	0.587792	+	1.01809i	0.994521	+	0.104537i	$0.0333360\pi$
$487$	12.9714	+	22.4672i	0.587792	+	1.01809i	−0.406729	+	0.913549i	$0.633331\pi$
$488$	−15.9983	+	13.4241i	−0.724208	+	0.607682i
$489$	32.2484	+	4.19697i	1.45832	+	0.189793i
$490$	1.28084	+	3.00259i	0.0578625	+	0.135643i
$491$	17.9073	+	3.15754i	0.808146	+	0.142498i	0.562431	−	0.826844i	$-0.309866\pi$
$491$	17.9073	+	3.15754i	0.808146	+	0.142498i	0.245715	+	0.969342i	$0.420977\pi$
$492$	9.68917	−	6.19289i	0.436822	−	0.279197i
$493$	−4.75996	+	13.0779i	−0.214378	+	0.588998i
$494$	−24.0026	−	13.8579i	−1.07993	−	0.623497i
$495$	5.21291	+	5.18209i	0.234303	+	0.232918i
$496$	−0.271129	−	0.156536i	−0.0121741	−	0.00702870i
$497$	10.9355	−	32.7798i	0.490525	−	1.47038i
$498$	−3.46143	+	3.18127i	−0.155111	+	0.142556i
$499$	−4.24424	+	24.0703i	−0.189998	+	1.07753i	0.729365	+	0.684125i	$0.239816\pi$
$499$	−4.24424	+	24.0703i	−0.189998	+	1.07753i	−0.919363	+	0.393410i	$0.871295\pi$
$500$	4.31129	+	3.61760i	0.192807	+	0.161784i
$501$	−23.3566	+	5.21436i	−1.04349	+	0.232960i
$502$	−5.63465	+	15.4811i	−0.251487	+	0.690954i
$503$	−7.81528	+	13.5365i	−0.348466	+	0.603561i	−0.985977	−	0.166880i	$-0.946631\pi$
$503$	−7.81528	+	13.5365i	−0.348466	+	0.603561i	0.637511	+	0.770441i	$0.279964\pi$
$504$	−23.0441	−	1.32028i	−1.02646	−	0.0588101i
$505$	1.52484	+	2.64109i	0.0678543	+	0.117527i
$506$	−15.8701	+	2.79833i	−0.705514	+	0.124401i
$507$	−14.0445	−	7.28466i	−0.623738	−	0.323523i
$508$	11.4852	−	4.18025i	0.509571	−	0.185469i
$509$	−22.9635	+	8.35802i	−1.01784	+	0.370463i	−0.796438	−	0.604720i	$-0.793285\pi$
$509$	−22.9635	+	8.35802i	−1.01784	+	0.370463i	−0.221400	+	0.975183i	$0.571063\pi$
$510$	−3.56029	+	1.48091i	−0.157652	+	0.0655757i
$511$	−8.14923	+	24.4278i	−0.360501	+	1.08062i
$512$		−	4.49234i		−	0.198535i
$513$	−12.5328	+	30.6415i	−0.553336	+	1.35286i
$514$	19.1413	−	11.0513i	0.844288	−	0.487450i
$515$	4.85773	−	0.856548i	0.214057	−	0.0377440i
$516$	−5.99734	−	14.4184i	−0.264018	−	0.634734i
$517$	−24.0014	+	28.6038i	−1.05558	+	1.25799i
$518$	−13.2474	−	1.96778i	−0.582057	−	0.0864591i
$519$	0.343968	+	7.61899i	0.0150985	+	0.334437i
$520$	1.19820	+	6.79535i	0.0525447	+	0.297996i
$521$	−16.5999	+	28.7519i	−0.727255	+	1.25964i	0.230784	+	0.973005i	$0.425871\pi$
$521$	−16.5999	+	28.7519i	−0.727255	+	1.25964i	−0.958039	+	0.286638i	$0.907462\pi$
$522$	−3.39586	+	7.33916i	−0.148633	+	0.321226i
$523$	33.9429	−	19.5969i	1.48422	−	0.856915i	0.484381	−	0.874857i	$-0.339045\pi$
$523$	33.9429	−	19.5969i	1.48422	−	0.856915i	0.999839	+	0.0179428i	$0.00571167\pi$
$524$	1.83123	+	10.3854i	0.0799976	+	0.453689i
$525$	15.1440	+	15.6078i	0.660938	+	0.681179i
$526$	7.72598	−	2.81203i	0.336869	−	0.122610i
$527$	3.69035	+	0.650709i	0.160754	+	0.0283453i
$528$	−2.47098	+	2.27098i	−0.107536	+	0.0988319i
$529$	7.76001	−	6.51142i	0.337392	−	0.283105i
$530$	1.14730	+	1.98719i	0.0498356	+	0.0863178i
$531$	6.71887	−	14.5209i	0.291574	−	0.630153i
$532$	−0.522432	−	19.2941i	−0.0226503	−	0.836506i
$533$	−17.5345	−	20.8968i	−0.759502	−	0.905139i
$534$	−8.26580	+	15.9361i	−0.357696	+	0.689622i
$535$	−2.77210	−	7.61628i	−0.119848	−	0.329280i
$536$	25.0623	+	4.41917i	1.08253	+	0.190879i
$537$	4.81901	−	2.00447i	0.207956	−	0.0864994i
$538$	−0.366394	+	1.00666i	−0.0157964	+	0.0434002i
$539$	−30.3275	−	15.3846i	−1.30630	−	0.662663i
$540$	2.85779	−	0.915049i	0.122980	−	0.0393775i
$541$	−22.2029	+	38.4566i	−0.954578	+	1.65338i	−0.219248	+	0.975669i	$0.570360\pi$
$541$	−22.2029	+	38.4566i	−0.954578	+	1.65338i	−0.735330	+	0.677709i	$0.762973\pi$
$542$	−4.24375	−	24.0675i	−0.182284	−	1.03379i
$543$	3.14774	+	2.40794i	0.135082	+	0.103335i
$544$	8.89421	+	24.4366i	0.381336	+	1.04771i
$545$	1.26513	−	7.17490i	0.0541921	−	0.307339i
$546$	1.43779	+	19.8832i	0.0615318	+	0.850923i
$547$	10.6883	−	8.96856i	0.456999	−	0.383468i	−0.385026	−	0.922906i	$-0.625808\pi$
$547$	10.6883	−	8.96856i	0.456999	−	0.383468i	0.842025	+	0.539438i	$0.181363\pi$
$548$			17.0484i			0.728272i
$549$	12.3051	−	17.6849i	0.525171	−	0.754774i
$550$	21.3174			0.908977
$551$	−17.4534	−	6.35251i	−0.743539	−	0.270626i
$552$	−5.40811	+	17.2414i	−0.230184	+	0.733843i
$553$	−9.84512	−	7.81685i	−0.418657	−	0.332406i
$554$	3.47147	+	9.53780i	0.147489	+	0.405222i
$555$	4.66735	−	1.04199i	0.198118	−	0.0442299i
$556$	−7.89002	−	9.40296i	−0.334611	−	0.398774i
$557$			11.9840i			0.507780i	0.967233	+	0.253890i	$0.0817101\pi$
$557$			11.9840i			0.507780i	−0.967233	+	0.253890i	$0.918290\pi$
$558$	2.10487	+	0.557315i	0.0891061	+	0.0235930i
$559$	−32.0816	+	18.5223i	−1.35691	+	0.783410i
$560$	0.398284	−	0.353005i	0.0168306	−	0.0149172i
$561$	18.4956	−	35.6586i	0.780883	−	1.50551i
$562$	0.522250	+	0.438220i	0.0220298	+	0.0184852i
$563$	−0.171106	+	0.970390i	−0.00721125	+	0.0408970i	−0.988201	−	0.153162i	$-0.951054\pi$
$563$	−0.171106	+	0.970390i	−0.00721125	+	0.0408970i	0.980990	+	0.194059i	$0.0621654\pi$
$564$	5.85428	+	14.0744i	0.246509	+	0.592640i
$565$	0.496855	+	0.592129i	0.0209029	+	0.0249111i
$566$	−8.51531			−0.357925
$567$	23.3008	−	4.90632i	0.978542	−	0.206046i
$568$	−37.9815			−1.59367
$569$	−3.55957	−	4.24213i	−0.149225	−	0.177839i	0.686254	−	0.727362i	$-0.259254\pi$
$569$	−3.55957	−	4.24213i	−0.149225	−	0.177839i	−0.835479	+	0.549523i	$0.814810\pi$
$570$	−1.97638	−	4.75147i	−0.0827814	−	0.199017i
$571$	−2.29263	+	13.0021i	−0.0959436	+	0.544123i	0.898511	+	0.438952i	$0.144650\pi$
$571$	−2.29263	+	13.0021i	−0.0959436	+	0.544123i	−0.994454	+	0.105171i	$0.966461\pi$
$572$	−20.0479	−	16.8222i	−0.838246	−	0.703372i
$573$	10.4872	−	20.2189i	0.438111	−	0.844657i
$574$	−4.48884	+	13.4555i	−0.187360	+	0.561623i
$575$	14.7440	−	8.51244i	0.614867	−	0.354993i
$576$	4.58034	+	16.8936i	0.190848	+	0.703899i
$577$		−	19.1388i		−	0.796760i	−0.917220	−	0.398380i	$-0.869573\pi$
$577$		−	19.1388i		−	0.796760i	0.917220	−	0.398380i	$-0.130427\pi$
$578$	3.44150	+	4.10142i	0.143148	+	0.170597i
$579$	−0.0633645	+	0.0141462i	−0.00263334	+	0.000587894i
$580$	0.575799	+	1.58199i	0.0239087	+	0.0656887i
$581$	−1.14113	+	7.68228i	−0.0473420	+	0.318714i
$582$	1.17657	−	3.75097i	0.0487702	−	0.155483i
$583$	−22.4624	−	8.17565i	−0.930299	−	0.338601i
$584$	28.3041			1.17123
$585$	−3.02747	−	6.44250i	−0.125171	−	0.266365i
$586$			20.9344i			0.864793i
$587$	20.7501	−	17.4114i	0.856450	−	0.718647i	−0.104750	−	0.994499i	$-0.533404\pi$
$587$	20.7501	−	17.4114i	0.856450	−	0.718647i	0.961200	+	0.275852i	$0.0889598\pi$
$588$	−11.2758	+	8.09860i	−0.465006	+	0.333981i
$589$	−0.868419	+	4.92505i	−0.0357826	+	0.202933i
$590$	0.850651	+	2.33714i	0.0350207	+	0.0962187i
$591$	−7.03860	−	5.38435i	−0.289529	−	0.221482i
$592$	0.379158	+	2.15031i	0.0155833	+	0.0883772i
$593$	21.3668	−	37.0083i	0.877428	−	1.51975i	0.0232738	−	0.999729i	$-0.492591\pi$
$593$	21.3668	−	37.0083i	0.877428	−	1.51975i	0.854154	−	0.520020i	$-0.174076\pi$
$594$	12.4535	−	19.7413i	0.510974	−	0.809994i
$595$	−3.03459	+	5.60091i	−0.124406	+	0.229615i
$596$	−0.834798	+	2.29359i	−0.0341946	+	0.0939490i
$597$	9.87501	−	4.10752i	0.404157	−	0.168110i
$598$	15.3692	+	2.71000i	0.628493	+	0.110820i
$599$	10.7152	+	29.4398i	0.437812	+	1.20288i	0.940912	+	0.338650i	$0.109970\pi$
$599$	10.7152	+	29.4398i	0.437812	+	1.20288i	−0.503100	+	0.864228i	$0.667807\pi$
$600$	11.0058	−	21.2187i	0.449311	−	0.866250i
$601$	3.68912	+	4.39652i	0.150482	+	0.179338i	0.836019	−	0.548700i	$-0.184877\pi$
$601$	3.68912	+	4.39652i	0.150482	+	0.179338i	−0.685537	+	0.728038i	$0.740433\pi$
$602$	16.9365	+	9.17624i	0.690280	+	0.373996i
$603$	−26.1469	+	2.36569i	−1.06479	+	0.0963382i
$604$	−3.80716	−	6.59419i	−0.154911	−	0.268314i
$605$	4.86835	−	4.08503i	0.197927	−	0.166080i
$606$	7.13022	−	6.55312i	0.289646	−	0.266202i
$607$	−13.3273	−	2.34995i	−0.540937	−	0.0953817i	−0.103497	−	0.994630i	$-0.533003\pi$
$607$	−13.3273	−	2.34995i	−0.540937	−	0.0953817i	−0.437439	+	0.899248i	$0.644114\pi$
$608$	−32.6125	+	11.8700i	−1.32261	+	0.481391i
$609$	3.26267	+	12.9548i	0.132210	+	0.524956i
$610$	0.581554	+	3.29816i	0.0235464	+	0.133539i
$611$	31.3163	−	18.0805i	1.26692	−	0.731457i
$612$	−9.44578	−	13.4052i	−0.381823	−	0.541874i
$613$	−0.926764	+	1.60520i	−0.0374316	+	0.0648335i	−0.884134	−	0.467233i	$-0.845251\pi$
$613$	−0.926764	+	1.60520i	−0.0374316	+	0.0648335i	0.846703	+	0.532066i	$0.178584\pi$
$614$	3.39775	+	19.2696i	0.137122	+	0.777658i
$615$	−0.228431	−	5.05982i	−0.00921124	−	0.204032i
$616$	−5.49186	+	36.9721i	−0.221273	+	1.48965i
$617$	−30.5178	+	36.3698i	−1.22860	+	1.46419i	−0.388779	+	0.921331i	$0.627103\pi$
$617$	−30.5178	+	36.3698i	−1.22860	+	1.46419i	−0.839823	+	0.542860i	$0.817341\pi$
$618$	−6.01565	−	14.4624i	−0.241985	−	0.581762i
$619$	−3.03430	+	0.535030i	−0.121959	+	0.0215047i	−0.234294	−	0.972166i	$-0.575278\pi$
$619$	−3.03430	+	0.535030i	−0.121959	+	0.0215047i	0.112335	+	0.993670i	$0.464167\pi$
$620$	0.392568	−	0.226649i	0.0157659	−	0.00910245i
$621$	0.730292	−	18.6268i	0.0293056	−	0.747467i
$622$			7.66706i			0.307421i
$623$	5.93859	+	29.0566i	0.237925	+	1.16413i
$624$	3.00087	−	1.24822i	0.120131	−	0.0499686i
$625$	−19.9678	+	7.26768i	−0.798711	+	0.290707i
$626$	−24.8506	+	9.04487i	−0.993229	+	0.361506i
$627$	47.5890	+	24.6837i	1.90052	+	0.985770i
$628$	0.668036	−	0.117793i	0.0266575	−	0.00470044i
$629$	−13.0675	−	22.6335i	−0.521033	−	0.902456i
$630$	−2.03105	+	3.09444i	−0.0809190	+	0.123285i
$631$	12.7919	−	22.1562i	0.509238	−	0.882026i	−0.490705	−	0.871326i	$-0.663261\pi$
$631$	12.7919	−	22.1562i	0.509238	−	0.882026i	0.999943	−	0.0106999i	$-0.00340596\pi$
$632$	−4.72576	+	12.9839i	−0.187981	+	0.516473i
$633$	5.68048	−	1.26817i	0.225779	−	0.0504052i
$634$	−14.3112	−	12.0085i	−0.568368	−	0.476918i
$635$	0.934825	−	5.30165i	0.0370974	−	0.210390i
$636$	−7.18496	+	6.60342i	−0.284902	+	0.261843i
$637$	22.5032	+	24.0457i	0.891608	+	0.952725i
$638$	11.3409	+	6.54765i	0.448989	+	0.259224i
$639$	37.8172	−	10.2533i	1.49603	−	0.405616i
$640$	2.40214	+	1.38687i	0.0949528	+	0.0548210i
$641$	4.50967	−	12.3902i	0.178121	−	0.489384i	−0.818215	−	0.574913i	$-0.805036\pi$
$641$	4.50967	−	12.3902i	0.178121	−	0.489384i	0.996336	+	0.0855292i	$0.0272581\pi$
$642$	−21.6863	+	13.8609i	−0.855890	+	0.547047i
$643$	39.9985	+	7.05281i	1.57739	+	0.278136i	0.892682	−	0.450686i	$-0.148821\pi$
$643$	39.9985	+	7.05281i	1.57739	+	0.278136i	0.684703	+	0.728822i	$0.259932\pi$
$644$	3.99220	+	10.1084i	0.157315	+	0.398325i
$645$	−6.82072	−	0.887681i	−0.268566	−	0.0349524i
$646$	−21.5438	+	18.0774i	−0.847630	+	0.711246i
$647$	20.0184	+	34.6729i	0.787006	+	1.36313i	0.927794	+	0.373094i	$0.121703\pi$
$647$	20.0184	+	34.6729i	0.787006	+	1.36313i	−0.140788	+	0.990040i	$0.544964\pi$
$648$	−13.2203	−	22.5879i	−0.519344	−	0.887338i
$649$	−22.4385	−	12.9549i	−0.880787	−	0.508523i
$650$	−19.3995	−	7.06083i	−0.760910	−	0.276949i
$651$	3.28262	−	1.47086i	0.128656	−	0.0576476i
$652$	−16.4690	−	13.8191i	−0.644974	−	0.541198i
$653$	−8.87922	+	10.5818i	−0.347471	+	0.414100i	−0.911268	−	0.411814i	$-0.864895\pi$
$653$	−8.87922	+	10.5818i	−0.347471	+	0.414100i	0.563797	+	0.825913i	$0.309340\pi$
$654$	−23.1117	+	1.04340i	−0.903740	+	0.0408003i
$655$	4.36483	+	1.58867i	0.170548	+	0.0620744i
$656$	2.31257			0.0902907
$657$	−28.1817	+	7.64088i	−1.09947	+	0.298099i
$658$	−16.5325	−	8.95734i	−0.644503	−	0.349194i
$659$	36.6031	−	6.45411i	1.42585	−	0.251417i	0.593131	−	0.805106i	$-0.297892\pi$
$659$	36.6031	−	6.45411i	1.42585	−	0.251417i	0.832723	+	0.553690i	$0.186781\pi$
$660$	−1.05876	−	4.74249i	−0.0412122	−	0.184601i
$661$	29.0253	−	34.5910i	1.12895	−	1.34543i	0.198040	−	0.980194i	$-0.436542\pi$
$661$	29.0253	−	34.5910i	1.12895	−	1.34543i	0.930913	−	0.365240i	$-0.119013\pi$
$662$	8.88112	−	10.5841i	0.345175	−	0.411363i
$663$	−28.6425	+	26.3242i	−1.11238	+	1.02235i
$664$	8.40682	−	1.48235i	0.326248	−	0.0575263i
$665$	−7.47483	−	4.04988i	−0.289861	−	0.157048i
$666$	−6.45863	−	13.7441i	−0.250267	−	0.532571i
$667$	10.4584			0.404951
$668$	14.8666	+	5.41101i	0.575207	+	0.209358i
$669$	5.27621	−	10.1723i	0.203990	−	0.393284i
$670$	2.62324	−	3.12626i	0.101345	−	0.120778i
$671$	−26.7262	−	22.4259i	−1.03175	−	0.865744i
$672$	20.2299	+	14.6247i	0.780387	+	0.564160i
$673$	4.43681	+	1.61487i	0.171026	+	0.0622485i	0.426114	−	0.904669i	$-0.359882\pi$
$673$	4.43681	+	1.61487i	0.171026	+	0.0622485i	−0.255088	+	0.966918i	$0.582104\pi$
$674$	−8.94268	−	5.16306i	−0.344459	−	0.198874i
$675$	−5.23009	+	24.0980i	−0.201306	+	0.927534i
$676$	5.22961	+	9.05794i	0.201139	+	0.348382i
$677$	8.09974	−	6.79649i	0.311298	−	0.261210i	−0.473730	−	0.880670i	$-0.657093\pi$
$677$	8.09974	−	6.79649i	0.311298	−	0.261210i	0.785028	+	0.619460i	$0.212648\pi$
$678$	1.49135	−	1.94954i	0.0572749	−	0.0748717i
$679$	−2.38556	−	6.04032i	−0.0915494	−	0.231806i
$680$	6.89530	+	1.21583i	0.264423	+	0.0466248i
$681$	−16.1168	−	8.35955i	−0.617598	−	0.320339i
$682$	1.20596	−	3.31334i	0.0461786	−	0.126875i
$683$	−8.04671	−	4.64577i	−0.307899	−	0.177765i	0.338087	−	0.941115i	$-0.390220\pi$
$683$	−8.04671	−	4.64577i	−0.307899	−	0.177765i	−0.645986	+	0.763349i	$0.723553\pi$
$684$	17.8902	−	12.6061i	0.684050	−	0.482006i
$685$	6.50314	+	3.75459i	0.248472	+	0.143456i
$686$	4.53226	−	16.5140i	0.173042	−	0.630509i
$687$	6.59288	+	29.5314i	0.251534	+	1.12669i
$688$	0.545338	−	3.09276i	0.0207908	−	0.117911i
$689$	17.7335	+	14.8802i	0.675593	+	0.566890i
$690$	1.96081	+	2.13350i	0.0746469	+	0.0812208i
$691$	3.54767	−	9.74713i	0.134960	−	0.370798i	−0.853742	−	0.520697i	$-0.825672\pi$
$691$	3.54767	−	9.74713i	0.134960	−	0.370798i	0.988701	+	0.149898i	$0.0478945\pi$
$692$	2.52096	−	4.36643i	0.0958325	−	0.165987i
$693$	−4.51276	−	38.2948i	−0.171426	−	1.45470i
$694$	8.41286	+	14.5715i	0.319348	+	0.553126i
$695$	−5.32440	+	0.938836i	−0.201966	+	0.0356121i
$696$	12.3724	−	7.90792i	0.468976	−	0.299749i
$697$	−26.0107	+	9.46712i	−0.985226	+	0.358593i
$698$	−22.2041	+	8.08163i	−0.840437	+	0.305894i
$699$	−14.1302	−	10.8093i	−0.534454	−	0.408844i
$700$	−2.87881	−	14.0856i	−0.108809	−	0.532385i
$701$		−	32.6042i		−	1.23144i	−0.787964	−	0.615721i	$-0.788865\pi$
$701$		−	32.6042i		−	1.23144i	0.787964	−	0.615721i	$-0.211135\pi$
$702$	−17.8719	+	13.8403i	−0.674530	+	0.522367i
$703$	30.2060	−	17.4395i	1.13924	−	0.657742i
$704$	27.9138	−	4.92196i	1.05204	−	0.185503i
$705$	6.65801	+	0.866506i	0.250755	+	0.0326345i
$706$	7.62264	−	9.08431i	0.286882	−	0.341892i
$707$	2.35062	−	15.8248i	0.0884040	−	0.595151i
$708$	−8.91240	+	5.69641i	−0.334948	+	0.214084i
$709$	−2.10559	−	11.9414i	−0.0790770	−	0.448468i	−0.998478	−	0.0551470i	$-0.982437\pi$
$709$	−2.10559	−	11.9414i	−0.0790770	−	0.448468i	0.919401	−	0.393321i	$-0.128674\pi$
$710$	−3.04539	+	5.27477i	−0.114291	+	0.197959i
$711$	1.20023	−	14.2035i	0.0450122	−	0.532674i
$712$	28.2301	−	16.2987i	1.05797	−	0.610819i
$713$	−0.488991	−	2.77321i	−0.0183129	−	0.103857i
$714$	19.4579	+	5.52953i	0.728194	+	0.206938i
$715$	−10.8320	+	3.94254i	−0.405095	+	0.147443i
$716$	−3.39795	−	0.599151i	−0.126988	−	0.0223913i
$717$	37.1779	+	11.6616i	1.38843	+	0.435509i
$718$	15.1856	−	12.7422i	0.566721	−	0.475535i
$719$	−5.13678	−	8.89717i	−0.191570	−	0.331808i	0.754201	−	0.656644i	$-0.228024\pi$
$719$	−5.13678	−	8.89717i	−0.191570	−	0.331808i	−0.945771	+	0.324835i	$0.894691\pi$
$720$	0.583362	+	0.154459i	0.0217406	+	0.00575636i
$721$	−22.7517	−	12.3269i	−0.847316	−	0.459078i
$722$	−12.8330	−	15.2937i	−0.477593	−	0.569173i
$723$	7.98711	+	12.4963i	0.297044	+	0.464744i
$724$	−0.896081	−	2.46196i	−0.0333026	−	0.0914981i
$725$	−13.6245	−	2.40238i	−0.506003	−	0.0892220i
$726$	−16.0287	−	12.2615i	−0.594880	−	0.455068i
$727$	12.1820	−	33.4698i	0.451806	−	1.24133i	−0.479646	−	0.877462i	$-0.659235\pi$
$727$	12.1820	−	33.4698i	0.451806	−	1.24133i	0.931452	−	0.363865i	$-0.118543\pi$
$728$	17.2438	−	31.8267i	0.639098	−	1.17958i
$729$	19.2609	+	18.9213i	0.713367	+	0.700790i
$730$	2.26945	−	3.93080i	0.0839961	−	0.145485i
$731$	6.52735	+	37.0184i	0.241423	+	1.36918i
$732$	−13.1506	+	5.46999i	−0.486059	+	0.202177i
$733$	3.19323	+	8.77334i	0.117945	+	0.324051i	0.984591	−	0.174872i	$-0.0559513\pi$
$733$	3.19323	+	8.77334i	0.117945	+	0.324051i	−0.866646	+	0.498923i	$0.833729\pi$
$734$	1.11902	−	6.34628i	0.0413038	−	0.234246i
$735$	0.605943	+	6.08474i	0.0223505	+	0.224439i
$736$	14.9701	−	12.5614i	0.551804	−	0.463019i
$737$			42.5142i			1.56603i
$738$	−15.5233	+	4.20882i	−0.571421	+	0.154929i
$739$	−49.8721			−1.83458			−0.917288	−	0.398226i	$-0.869626\pi$
$739$	−49.8721			−1.83458			−0.917288	+	0.398226i	$0.869626\pi$
$740$	−2.97080	−	1.08128i	−0.109209	−	0.0397488i
$741$	−35.1316	−	38.2255i	−1.29059	−	1.40425i
$742$	1.76863	−	11.9067i	0.0649284	−	0.437109i
$743$	−13.7749	−	37.8461i	−0.505350	−	1.38844i	−0.885985	−	0.463713i	$-0.846517\pi$
$743$	−13.7749	−	37.8461i	−0.505350	−	1.38844i	0.380635	−	0.924725i	$-0.375705\pi$
$744$	−2.67539	−	2.91100i	−0.0980845	−	0.106722i
$745$	0.691044	+	0.823555i	0.0253179	+	0.0301727i
$746$		−	10.6809i		−	0.391055i
$747$	−7.97029	+	3.74541i	−0.291618	+	0.137038i
$748$	−22.9979	+	13.2778i	−0.840885	+	0.485485i
$749$	−13.4555	+	40.3335i	−0.491652	+	1.47375i
$750$	−4.23933	−	6.63270i	−0.154799	−	0.242192i
$751$	31.1504	+	26.1383i	1.13669	+	0.953800i	0.999326	−	0.0367201i	$-0.0116910\pi$
$751$	31.1504	+	26.1383i	1.13669	+	0.953800i	0.137369	+	0.990520i	$0.456135\pi$
$752$	−0.532329	+	3.01899i	−0.0194120	+	0.110091i
$753$	−18.7503	+	24.5110i	−0.683298	+	0.893229i
$754$	−8.15179	−	9.71493i	−0.296871	−	0.353797i
$755$	−3.35382			−0.122058
$756$	−14.7259	−	5.56275i	−0.535576	−	0.202315i
$757$	38.9341			1.41508			0.707542	−	0.706671i	$-0.249804\pi$
$757$	38.9341			1.41508			0.707542	+	0.706671i	$0.249804\pi$
$758$	3.84214	+	4.57888i	0.139553	+	0.166312i
$759$	−29.9342	−	3.89578i	−1.08654	−	0.141408i
$760$	−1.62261	+	9.20228i	−0.0588582	+	0.333802i
$761$	29.3123	+	24.5960i	1.06257	+	0.891603i	0.994359	−	0.106067i	$-0.0338259\pi$
$761$	29.3123	+	24.5960i	1.06257	+	0.891603i	0.0682127	+	0.997671i	$0.478270\pi$
$762$	−17.0776	+	0.770989i	−0.618658	+	0.0279300i
$763$	−28.6023	+	25.3506i	−1.03547	+	0.917755i
$764$	−13.0401	+	7.52871i	−0.471775	+	0.272379i
$765$	−7.19370	+	0.650862i	−0.260089	+	0.0235320i
$766$		−	2.15172i		−	0.0777449i
$767$	16.1287	+	19.2215i	0.582375	+	0.694047i
$768$	8.68524	−	27.6891i	0.313402	−	0.999145i
$769$	2.38576	+	6.55481i	0.0860326	+	0.236373i	0.975247	−	0.221118i	$-0.0709706\pi$
$769$	2.38576	+	6.55481i	0.0860326	+	0.236373i	−0.889214	+	0.457491i	$0.848748\pi$
$770$	4.69425	+	3.72715i	0.169169	+	0.134317i
$771$	40.4078	−	9.02106i	1.45525	−	0.324885i
$772$	0.0403320	+	0.0146797i	0.00145158	+	0.000528333i
$773$	−26.0359			−0.936445			−0.468222	−	0.883611i	$-0.655105\pi$
$773$	−26.0359			−0.936445			−0.468222	+	0.883611i	$0.655105\pi$
$774$	1.96813	+	21.7529i	0.0707429	+	0.781892i
$775$			3.72508i			0.133809i
$776$	−5.46814	+	4.58831i	−0.196295	+	0.164711i
$777$	−22.5744	−	10.9440i	−0.809852	−	0.392615i
$778$	5.29248	−	30.0151i	0.189744	−	1.07609i
$779$	−12.6346	−	34.7132i	−0.452680	−	1.24373i
$780$	−0.607320	+	4.66649i	−0.0217455	+	0.167087i
$781$	−11.0181	−	62.4867i	−0.394258	−	2.23595i
$782$	7.91791	−	13.7142i	0.283144	−	0.490420i
$783$	−10.1841	+	11.2137i	−0.363951	+	0.400746i
$784$	−2.78783	+	0.151084i	−0.0995652	+	0.00539587i
$785$	0.102190	−	0.280765i	0.00364732	−	0.0100209i
$786$	1.90358	−	14.6266i	0.0678985	−	0.521714i
$787$	27.4796	+	4.84540i	0.979543	+	0.172720i	0.640422	−	0.768023i	$-0.278759\pi$
$787$	27.4796	+	4.84540i	0.979543	+	0.172720i	0.339121	+	0.940743i	$0.389871\pi$
$788$	2.00371	+	5.50514i	0.0713791	+	0.196112i
$789$	15.3855	−	0.694594i	0.547737	−	0.0247282i
$790$	1.42426	+	1.69737i	0.0506729	+	0.0603896i
$791$	−0.109757	−	4.05346i	−0.00390250	−	0.144125i
$792$	−38.3583	+	18.0254i	−1.36300	+	0.640504i
$793$	16.8936	+	29.2606i	0.599911	+	1.03908i
$794$	17.9914	−	15.0966i	0.638491	−	0.535757i
$795$	0.936533	+	4.19499i	0.0332154	+	0.148781i
$796$	−6.96301	−	1.22777i	−0.246797	−	0.0435171i
$797$	10.0467	−	3.65670i	0.355873	−	0.129527i	−0.157896	−	0.987456i	$-0.550471\pi$
$797$	10.0467	−	3.65670i	0.355873	−	0.129527i	0.513769	+	0.857929i	$0.328249\pi$
$798$	−7.37956	+	25.9680i	−0.261234	+	0.919258i
$799$	−6.37163	−	36.1353i	−0.225412	−	1.27838i
$800$	−22.3875	+	12.9254i	−0.791518	+	0.456983i
$801$	−23.7081	+	23.8491i	−0.837685	+	0.842666i
$802$	9.01393	−	15.6126i	0.318293	−	0.551299i
$803$	8.21077	+	46.5656i	0.289752	+	1.64326i
$804$	15.4067	+	7.99124i	0.543354	+	0.281829i
$805$	4.73506	+	0.703348i	0.166889	+	0.0247898i
$806$	−2.19492	+	2.61580i	−0.0773127	+	0.0921377i
$807$	−1.21924	+	1.59383i	−0.0429192	+	0.0561054i
$808$	−17.3172	+	3.05350i	−0.609218	+	0.107422i
$809$	43.9114	−	25.3522i	1.54384	−	0.891338i	0.545251	−	0.838273i	$-0.316434\pi$
$809$	43.9114	−	25.3522i	1.54384	−	0.891338i	0.998591	−	0.0530646i	$-0.0168989\pi$
$810$	−4.19697	+	0.0248842i	−0.147467	+	0.000874340i
$811$		−	4.10320i		−	0.144083i	−0.997402	−	0.0720414i	$-0.977049\pi$
$811$		−	4.10320i		−	0.144083i	0.997402	−	0.0720414i	$-0.0229514\pi$
$812$	2.79486	−	8.37776i	0.0980805	−	0.294002i
$813$	5.90805	−	45.3960i	0.207204	−	1.59211i
$814$	−23.1085	+	8.41079i	−0.809951	+	0.294798i
$815$	−8.89830	+	3.23871i	−0.311694	+	0.113447i
$816$	−0.148737	−	3.29457i	−0.00520684	−	0.115333i
$817$	−49.4038	+	8.71122i	−1.72842	+	0.304767i
$818$	−8.00392	−	13.8632i	−0.279850	−	0.484715i
$819$	−8.57741	+	36.3442i	−0.299719	+	1.26997i
$820$	−1.67419	+	2.89977i	−0.0584651	+	0.101265i
$821$	11.8782	−	32.6351i	0.414552	−	1.13897i	−0.540192	−	0.841542i	$-0.681648\pi$
$821$	11.8782	−	32.6351i	0.414552	−	1.13897i	0.954744	−	0.297430i	$-0.0961294\pi$
$822$	7.13670	−	22.7523i	0.248921	−	0.793577i
$823$	−29.5910	−	24.8298i	−1.03148	−	0.865512i	−0.0404514	−	0.999182i	$-0.512880\pi$
$823$	−29.5910	−	24.8298i	−1.03148	−	0.865512i	−0.991026	+	0.133669i	$0.957324\pi$
$824$	−4.93885	+	28.0096i	−0.172053	+	0.975762i
$825$	38.1015	+	11.9513i	1.32652	+	0.416090i
$826$	4.12897	−	12.3768i	0.143665	−	0.430644i
$827$	28.4168	+	16.4064i	0.988148	+	0.570508i	0.904720	−	0.426006i	$-0.140080\pi$
$827$	28.4168	+	16.4064i	0.988148	+	0.570508i	0.0834279	+	0.996514i	$0.473413\pi$
$828$	−7.03841	+	10.1156i	−0.244602	+	0.351541i
$829$	−9.16621	−	5.29211i	−0.318356	−	0.183803i	0.332304	−	0.943172i	$-0.392174\pi$
$829$	−9.16621	−	5.29211i	−0.318356	−	0.183803i	−0.650659	+	0.759370i	$0.725507\pi$
$830$	0.468202	−	1.28637i	0.0162515	−	0.0446507i
$831$	0.857483	+	18.9935i	0.0297458	+	0.658878i
$832$	−27.0327	−	4.76660i	−0.937190	−	0.165252i
$833$	30.7376	−	13.1120i	1.06500	−	0.454305i
$834$	6.59356	+	15.8518i	0.228316	+	0.548902i
$835$	5.33814	−	4.47923i	0.184734	−	0.155010i
$836$	−17.7202	−	30.6923i	−0.612867	−	1.06152i
$837$	3.44966	+	2.17617i	0.119238	+	0.0752195i
$838$	2.63070	+	1.51883i	0.0908759	+	0.0524672i
$839$	−40.4225	−	14.7126i	−1.39554	−	0.507934i	−0.468687	−	0.883364i	$-0.655273\pi$
$839$	−40.4225	−	14.7126i	−1.39554	−	0.507934i	−0.926851	+	0.375430i	$0.877495\pi$
$840$	6.13346	−	2.74825i	0.211625	−	0.0948237i
$841$	15.7049	+	13.1780i	0.541549	+	0.454413i
$842$	1.93296	−	2.30361i	0.0666141	−	0.0793876i
$843$	0.687757	+	1.07604i	0.0236876	+	0.0370607i
$844$	−3.61567	−	1.31600i	−0.124456	−	0.0452985i
$845$	4.60689			0.158482
$846$	−1.92118	−	21.2340i	−0.0660515	−	0.730039i
$847$	−33.3267	+	0.902395i	−1.14512	+	0.0310067i
$848$	−1.93269	+	0.340786i	−0.0663689	+	0.0117026i
$849$	−15.2198	−	4.77398i	−0.522341	−	0.163843i
$850$	−13.4652	+	16.0472i	−0.461853	+	0.550415i
$851$	−12.6242	+	15.0449i	−0.432751	+	0.515732i
$852$	−24.7156	−	7.75254i	−0.846743	−	0.265598i
$853$	35.0998	−	6.18904i	1.20179	−	0.211909i	0.463320	−	0.886191i	$-0.346658\pi$
$853$	35.0998	−	6.18904i	1.20179	−	0.211909i	0.738473	+	0.674283i	$0.235547\pi$
$854$	8.36937	−	15.4473i	0.286394	−	0.528594i
$855$	−0.868623	−	9.60052i	−0.0297063	−	0.328331i
$856$	46.7338			1.59733
$857$	−36.8153	−	13.3997i	−1.25759	−	0.457724i	−0.374628	−	0.927175i	$-0.622230\pi$
$857$	−36.8153	−	13.3997i	−1.25759	−	0.457724i	−0.882959	+	0.469451i	$0.844452\pi$
$858$	19.7133	+	30.8427i	0.673002	+	1.05295i
$859$	−10.4657	+	12.4725i	−0.357083	+	0.425556i	−0.914442	−	0.404716i	$-0.867370\pi$
$859$	−10.4657	+	12.4725i	−0.357083	+	0.425556i	0.557359	+	0.830272i	$0.311815\pi$
$860$	3.48327	+	2.92281i	0.118779	+	0.0996671i
$861$	−15.5667	+	21.5330i	−0.530512	+	0.733843i
$862$	−29.7589	−	10.8313i	−1.01359	−	0.368917i
$863$	30.6409	+	17.6905i	1.04303	+	0.602193i	0.920690	−	0.390295i	$-0.127627\pi$
$863$	30.6409	+	17.6905i	1.04303	+	0.602193i	0.122339	+	0.992488i	$0.460960\pi$
$864$	−1.10889	+	28.2832i	−0.0377251	+	0.962214i
$865$	−1.11039	−	1.92325i	−0.0377543	−	0.0653924i
$866$	19.4252	−	16.2997i	0.660095	−	0.553886i
$867$	3.85174	+	9.26007i	0.130812	+	0.314488i
$868$	−2.35217	−	0.349392i	−0.0798377	−	0.0118591i
$869$	−22.7319	−	4.00825i	−0.771127	−	0.135971i
$870$	−0.106198	−	2.35232i	−0.00360045	−	0.0797510i
$871$	14.0817	−	38.6892i	0.477141	−	1.31093i
$872$	36.3806	+	21.0043i	1.23200	+	0.711296i
$873$	4.20585	−	6.04463i	0.142346	−	0.204580i
$874$	18.3026	+	10.5670i	0.619096	+	0.357435i
$875$	−12.3359	−	4.11532i	−0.417030	−	0.139123i
$876$	18.4183	+	5.77726i	0.622295	+	0.195195i
$877$	−4.64641	+	26.3511i	−0.156898	+	0.889814i	0.800131	+	0.599825i	$0.204763\pi$
$877$	−4.64641	+	26.3511i	−0.156898	+	0.889814i	−0.957030	+	0.289990i	$0.906348\pi$
$878$	2.67713	+	2.24638i	0.0903489	+	0.0758117i
$879$	−11.7366	+	37.4169i	−0.395864	+	1.26204i
$880$	0.334231	−	0.918291i	0.0112669	−	0.0309556i
$881$	−0.302257	+	0.523525i	−0.0101833	+	0.0176380i	−0.871072	−	0.491155i	$-0.836575\pi$
$881$	−0.302257	+	0.523525i	−0.0101833	+	0.0176380i	0.860889	+	0.508793i	$0.169908\pi$
$882$	18.4385	−	6.08793i	0.620857	−	0.204991i
$883$	−10.2674	−	17.7836i	−0.345525	−	0.598466i	0.639924	−	0.768438i	$-0.278966\pi$
$883$	−10.2674	−	17.7836i	−0.345525	−	0.598466i	−0.985449	+	0.169972i	$0.945632\pi$
$884$	25.3267	−	4.46578i	0.851828	−	0.150200i
$885$	0.210118	+	4.65418i	0.00706304	+	0.156448i
$886$	−18.7617	+	6.82872i	−0.630313	+	0.229415i
$887$	−13.3953	+	4.87548i	−0.449769	+	0.163702i	−0.556966	−	0.830535i	$-0.688035\pi$
$887$	−13.3953	+	4.87548i	−0.449769	+	0.163702i	0.107197	+	0.994238i	$0.465812\pi$
$888$	−3.55866	+	27.3438i	−0.119421	+	0.917598i
$889$	−21.1347	+	18.7320i	−0.708836	+	0.628252i
$890$		−	5.22737i		−	0.175222i
$891$	33.3263	−	28.3025i	1.11647	−	0.948169i
$892$	−6.56058	+	3.78775i	−0.219665	+	0.126823i
$893$	48.2252	−	8.50341i	1.61380	−	0.284556i
$894$	2.07422	−	2.71149i	0.0693724	−	0.0906859i
$895$	−0.976883	+	1.16420i	−0.0326536	+	0.0389150i
$896$	−5.34498	−	13.5337i	−0.178563	−	0.452128i
$897$	25.9506	+	13.4602i	0.866467	+	0.449423i
$898$	−2.78305	−	15.7835i	−0.0928717	−	0.526702i
$899$	−1.14416	+	1.98175i	−0.0381599	+	0.0660949i
$900$	11.4928	−	11.5612i	0.383094	−	0.385372i
$901$	20.3429	−	11.7450i	0.677720	−	0.391282i
$902$	4.52273	+	25.6497i	0.150590	+	0.854041i
$903$	25.1268	+	25.8963i	0.836166	+	0.861773i
$904$	−4.18815	+	1.52436i	−0.139296	+	0.0506995i
$905$	−1.13646	−	0.200389i	−0.0377774	−	0.00666117i
$906$	2.32049	+	10.3941i	0.0770932	+	0.345322i
$907$	21.6318	−	18.1512i	0.718272	−	0.602702i	−0.208634	−	0.977994i	$-0.566902\pi$
$907$	21.6318	−	18.1512i	0.718272	−	0.602702i	0.926907	+	0.375292i	$0.122457\pi$
$908$	6.00126	+	10.3945i	0.199159	+	0.344953i
$909$	16.4180	−	7.71519i	0.544552	−	0.255897i
$910$	−3.03739	−	4.94667i	−0.100688	−	0.163981i
$911$	20.6579	+	24.6191i	0.684426	+	0.815667i	0.990670	−	0.136286i	$-0.0435167\pi$
$911$	20.6579	+	24.6191i	0.684426	+	0.815667i	−0.306244	+	0.951953i	$0.599072\pi$
$912$	4.39684	−	0.198500i	0.145594	−	0.00657300i
$913$	4.87749	+	13.4008i	0.161421	+	0.443501i
$914$	29.8823	+	5.26906i	0.988419	+	0.174285i
$915$	−0.809627	+	6.22097i	−0.0267655	+	0.205659i
$916$	6.84153	−	18.7969i	0.226050	−	0.621068i
$917$	−12.7503	−	20.7650i	−0.421052	−	0.685722i
$918$	6.99443	+	21.8443i	0.230851	+	0.720970i
$919$	7.94398	−	13.7594i	0.262048	−	0.453880i	−0.704738	−	0.709468i	$-0.748936\pi$
$919$	7.94398	−	13.7594i	0.262048	−	0.453880i	0.966786	+	0.255587i	$0.0822688\pi$
$920$	−0.913663	−	5.18164i	−0.0301226	−	0.170834i
$921$	−4.73028	+	36.3463i	−0.155868	+	1.19765i
$922$	−0.251964	−	0.692265i	−0.00829799	−	0.0227985i
$923$	−10.6703	+	60.5142i	−0.351217	+	1.99185i
$924$	−11.1202	+	22.9378i	−0.365829	+	0.754599i
$925$	19.9019	−	16.6997i	0.654370	−	0.549081i
$926$			10.6133i			0.348773i
$927$	−2.64389	−	29.2218i	−0.0868367	−	0.959769i
$928$	−15.8802			−0.521293
$929$	30.6761	+	11.1652i	1.00645	+	0.366318i	0.792069	−	0.610432i	$-0.209004\pi$
$929$	30.6761	+	11.1652i	1.00645	+	0.366318i	0.214382	+	0.976750i	$0.431226\pi$
$930$	−0.618787	+	0.138144i	−0.0202908	+	0.00452993i
$931$	17.4990	+	41.0216i	0.573505	+	1.34443i
$932$	4.02251	+	11.0517i	0.131762	+	0.362012i
$933$	−4.29842	+	13.7036i	−0.140724	+	0.448637i
$934$	3.08451	+	3.67598i	0.100928	+	0.120282i
$935$			11.6968i			0.382525i
$936$	40.8776	−	3.69847i	1.33613	−	0.120888i
$937$	3.11413	−	1.79794i	0.101734	−	0.0587362i	−0.448270	−	0.893898i	$-0.647960\pi$
$937$	3.11413	−	1.79794i	0.101734	−	0.0587362i	0.550004	+	0.835162i	$0.314626\pi$
$938$	−20.9753	+	4.28693i	−0.684868	+	0.139973i
$939$	−49.4873	+	2.23416i	−1.61496	+	0.0729091i
$940$	−3.40018	−	2.85309i	−0.110902	−	0.0930575i
$941$	−3.47924	+	19.7318i	−0.113420	+	0.643237i	0.874100	+	0.485745i	$0.161452\pi$
$941$	−3.47924	+	19.7318i	−0.113420	+	0.643237i	−0.987520	+	0.157492i	$0.949659\pi$
$942$	−0.940849	−	0.122447i	−0.0306545	−	0.00398953i
$943$	13.3705	+	15.9343i	0.435404	+	0.518894i
$944$	−2.12717			−0.0692336
$945$	−5.36503	+	4.39213i	−0.174524	+	0.142876i
$946$	35.3696			1.14997
$947$	−31.5741	−	37.6285i	−1.02602	−	1.22276i	−0.974569	−	0.224088i	$-0.928060\pi$
$947$	−31.5741	−	37.6285i	−1.02602	−	1.22276i	−0.0514516	−	0.998675i	$-0.516385\pi$
$948$	−5.72538	+	7.48441i	−0.185952	+	0.243082i
$949$	7.95159	−	45.0957i	0.258119	−	1.46387i
$950$	−21.4162	−	17.9703i	−0.694832	−	0.583034i
$951$	−18.8465	−	29.4866i	−0.611140	−	0.956168i
$952$	−24.3627	−	27.4877i	−0.789601	−	0.890881i
$953$	−27.6214	+	15.9472i	−0.894744	+	0.516581i	−0.875491	−	0.483234i	$-0.839462\pi$
$953$	−27.6214	+	15.9472i	−0.894744	+	0.516581i	−0.0192530	+	0.999815i	$0.506129\pi$
$954$	12.3531	−	5.80499i	0.399947	−	0.187944i
$955$			6.63223i			0.214614i
$956$	−16.5572	−	19.7321i	−0.535497	−	0.638181i
$957$	16.5991	+	18.0610i	0.536574	+	0.583828i
$958$	5.85857	+	16.0963i	0.189282	+	0.520048i
$959$	−14.4701	−	36.6388i	−0.467265	−	1.18313i
$960$	−3.44886	−	3.75258i	−0.111311	−	0.121114i
$961$	−28.5515	−	10.3919i	−0.921016	−	0.335222i
$962$	23.8152			0.767834
$963$	−46.5317	+	12.6161i	−1.49946	+	0.406548i
$964$		−	9.80440i		−	0.315778i
$965$	0.0144820	−	0.0121518i	0.000466191	−	0.000391180i
$966$	−1.09636	−	15.1615i	−0.0352747	−	0.487813i
$967$	−7.25864	+	41.1658i	−0.233422	+	1.32380i	0.612489	+	0.790479i	$0.290168\pi$
$967$	−7.25864	+	41.1658i	−0.233422	+	1.32380i	−0.845911	+	0.533323i	$0.820943\pi$
$968$	12.5330	+	34.4340i	0.402825	+	1.10675i
$969$	−48.6410	+	20.2323i	−1.56257	+	0.649954i
$970$	0.198773	+	1.12730i	0.00638221	+	0.0361953i
$971$	23.9484	−	41.4799i	0.768542	−	1.33115i	−0.169811	−	0.985477i	$-0.554316\pi$
$971$	23.9484	−	41.4799i	0.768542	−	1.33115i	0.938353	−	0.345677i	$-0.112351\pi$
$972$	−3.99233	−	17.3970i	−0.128054	−	0.558011i
$973$	24.9374	+	13.5112i	0.799456	+	0.433148i
$974$	−8.20437	+	22.5413i	−0.262885	+	0.722270i
$975$	−30.7149	−	23.4961i	−0.983665	−	0.752479i
$976$	−2.82082	−	0.497386i	−0.0902921	−	0.0159209i
$977$	−8.07507	−	22.1861i	−0.258344	−	0.709796i	−0.999270	−	0.0382082i	$-0.987835\pi$
$977$	−8.07507	−	22.1861i	−0.258344	−	0.709796i	0.740925	−	0.671587i	$-0.234387\pi$
$978$	16.1941	+	25.3367i	0.517830	+	0.810177i
$979$	35.0037	+	41.7158i	1.11872	+	1.33324i
$980$	1.82880	−	3.60508i	0.0584188	−	0.115160i
$981$	−41.8935	−	11.0923i	−1.33756	−	0.354150i
$982$	8.40668	+	14.5608i	0.268268	+	0.464654i
$983$	−47.1705	+	39.5808i	−1.50451	+	1.26243i	−0.630831	+	0.775920i	$0.717286\pi$
$983$	−47.1705	+	39.5808i	−1.50451	+	1.26243i	−0.873675	+	0.486510i	$0.838270\pi$
$984$	27.8659	+	8.74070i	0.888333	+	0.278643i
$985$	2.54122	+	0.448086i	0.0809701	+	0.0142772i
$986$	−12.0924	+	4.40128i	−0.385101	+	0.140165i
$987$	−24.5274	−	25.2785i	−0.780714	−	0.804623i
$988$	5.95990	+	33.8003i	0.189610	+	1.07533i
$989$	24.4631	−	14.1238i	0.777881	−	0.449110i
$990$	−0.572282	+	6.77239i	−0.0181883	+	0.215241i
$991$	3.19820	−	5.53945i	0.101594	−	0.175966i	−0.810747	−	0.585396i	$-0.800939\pi$
$991$	3.19820	−	5.53945i	0.101594	−	0.175966i	0.912342	+	0.409430i	$0.134272\pi$
$992$	0.742492	+	4.21088i	0.0235741	+	0.133696i
$993$	21.8074	−	13.9383i	0.692037	−	0.442320i
$994$	29.7181	−	11.7369i	0.942602	−	0.372271i
$995$	−2.00181	+	2.38566i	−0.0634615	+	0.0756305i
$996$	5.77312	+	0.751341i	0.182928	+	0.0238072i
$997$	35.4811	−	6.25628i	1.12370	−	0.198138i	0.419234	−	0.907878i	$-0.362299\pi$
$997$	35.4811	−	6.25628i	1.12370	−	0.198138i	0.704464	+	0.709740i	$0.251187\pi$
$998$	−19.5720	+	11.2999i	−0.619542	+	0.357693i
$999$	−3.83837	−	28.1862i	−0.121441	−	0.891773i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	189.2.ba.a.131.15	yes	132
3.2	odd	2		567.2.ba.a.341.8		132
7.3	odd	6		189.2.bd.a.185.8	yes	132
21.17	even	6		567.2.bd.a.17.15		132
27.7	even	9		567.2.bd.a.467.15		132
27.20	odd	18		189.2.bd.a.47.8	yes	132
189.101	even	18	inner	189.2.ba.a.101.15	✓	132
189.115	odd	18		567.2.ba.a.143.8		132

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
189.2.ba.a.101.15	✓	132	189.101	even	18	inner
189.2.ba.a.131.15	yes	132	1.1	even	1	trivial
189.2.bd.a.47.8	yes	132	27.20	odd	18
189.2.bd.a.185.8	yes	132	7.3	odd	6
567.2.ba.a.143.8		132	189.115	odd	18
567.2.ba.a.341.8		132	3.2	odd	2
567.2.bd.a.17.15		132	21.17	even	6
567.2.bd.a.467.15		132	27.7	even	9

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:	\( N \)	\(=\)	\( 189 = 3^{3} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	189.ba (of order \(18\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(0.594351 + 0.708320i) q^{2} +(0.665198 + 1.59922i) q^{3} +(0.198832 - 1.12763i) q^{4} +(-0.386349 - 0.324185i) q^{5} +(-0.737399 + 1.42167i) q^{6} +(0.529787 + 2.59217i) q^{7} +(2.51844 - 1.45402i) q^{8} +(-2.11502 + 2.12760i) q^{9} -0.466338i q^{10} +(3.12271 + 3.72150i) q^{11} +(1.93560 - 0.432124i) q^{12} +(-1.60911 - 4.42100i) q^{13} +(-1.52120 + 1.91591i) q^{14} +(0.261446 - 0.833505i) q^{15} +(0.374792 + 0.136413i) q^{16} -4.77392 q^{17} +(-2.76409 - 0.233571i) q^{18} -6.37115i q^{19} +(-0.442381 + 0.371202i) q^{20} +(-3.79304 + 2.57155i) q^{21} +(-0.780028 + 4.42376i) q^{22} +(1.22699 + 3.37113i) q^{23} +(4.00056 + 3.06033i) q^{24} +(-0.824071 - 4.67354i) q^{25} +(2.17510 - 3.76739i) q^{26} +(-4.80941 - 1.96711i) q^{27} +(3.02836 - 0.0819996i) q^{28} +(0.997075 - 2.73944i) q^{29} +(0.745779 - 0.310208i) q^{30} +(-0.773023 - 0.136305i) q^{31} +(-1.86308 - 5.11878i) q^{32} +(-3.87429 + 7.46945i) q^{33} +(-2.83739 - 3.38147i) q^{34} +(0.635660 - 1.17323i) q^{35} +(1.97862 + 2.80801i) q^{36} +(2.73726 + 4.74107i) q^{37} +(4.51281 - 3.78670i) q^{38} +(5.99978 - 5.51416i) q^{39} +(-1.44437 - 0.254681i) q^{40} +(5.44849 - 1.98309i) q^{41} +(-4.07587 - 1.15828i) q^{42} +(-1.36729 - 7.75429i) q^{43} +(4.81739 - 2.78132i) q^{44} +(1.50687 - 0.136337i) q^{45} +(-1.65857 + 2.87274i) q^{46} +(1.33467 + 7.56931i) q^{47} +(0.0311561 + 0.690117i) q^{48} +(-6.43865 + 2.74659i) q^{49} +(2.82057 - 3.36143i) q^{50} +(-3.17561 - 7.63457i) q^{51} +(-5.30521 + 0.935452i) q^{52} +(-4.26125 + 2.46023i) q^{53} +(-1.46513 - 4.57576i) q^{54} -2.45014i q^{55} +(5.10329 + 5.75788i) q^{56} +(10.1889 - 4.23808i) q^{57} +(2.53301 - 0.921941i) q^{58} +(-5.01169 + 1.82411i) q^{59} +(-0.887906 - 0.460543i) q^{60} +(-7.07246 + 1.24706i) q^{61} +(-0.362900 - 0.628561i) q^{62} +(-6.63560 - 4.35531i) q^{63} +(2.91725 - 5.05283i) q^{64} +(-0.811544 + 2.22970i) q^{65} +(-7.59344 + 1.69524i) q^{66} +(6.70384 + 5.62519i) q^{67} +(-0.949211 + 5.38324i) q^{68} +(-4.57499 + 4.20470i) q^{69} +(1.20883 - 0.247060i) q^{70} +(-11.3110 - 6.53043i) q^{71} +(-2.23298 + 8.43351i) q^{72} +(8.42907 + 4.86653i) q^{73} +(-1.73130 + 4.75671i) q^{74} +(6.92586 - 4.42671i) q^{75} +(-7.18433 - 1.26679i) q^{76} +(-7.99238 + 10.0662i) q^{77} +(7.47176 + 0.972412i) q^{78} +(-3.63977 + 3.05413i) q^{79} +(-0.100577 - 0.174205i) q^{80} +(-0.0533607 - 8.99984i) q^{81} +(4.64298 + 2.68063i) q^{82} +(2.75845 + 1.00400i) q^{83} +(2.14559 + 4.78847i) q^{84} +(1.84440 + 1.54764i) q^{85} +(4.67987 - 5.57725i) q^{86} +(5.04423 - 0.227727i) q^{87} +(13.2755 + 4.83188i) q^{88} +11.2094 q^{89} +(0.992182 + 0.986316i) q^{90} +(10.6075 - 6.51327i) q^{91} +(4.04537 - 0.713308i) q^{92} +(-0.296232 - 1.32691i) q^{93} +(-4.56823 + 5.44420i) q^{94} +(-2.06543 + 2.46149i) q^{95} +(6.94674 - 6.38448i) q^{96} +(-2.41733 + 0.426241i) q^{97} +(-5.77228 - 2.92818i) q^{98} +(-14.5225 - 1.22718i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 132 q - 3 q^{2} - 9 q^{3} - 3 q^{4} - 9 q^{5} - 18 q^{6} - 6 q^{7} - 18 q^{8} + 3 q^{9} - 9 q^{11} - 9 q^{12} + 3 q^{14} - 24 q^{15} + 3 q^{16} - 18 q^{17} - 3 q^{18} + 18 q^{20} - 21 q^{21} - 12 q^{22}+ \cdots + 96 q^{99}+O(q^{100}) \) 132 * q - 3 * q^2 - 9 * q^3 - 3 * q^4 - 9 * q^5 - 18 * q^6 - 6 * q^7 - 18 * q^8 + 3 * q^9 - 9 * q^11 - 9 * q^12 + 3 * q^14 - 24 * q^15 + 3 * q^16 - 18 * q^17 - 3 * q^18 + 18 * q^20 - 21 * q^21 - 12 * q^22 - 6 * q^23 - 9 * q^24 - 3 * q^25 - 12 * q^28 + 6 * q^29 + 51 * q^30 - 9 * q^31 + 3 * q^32 - 9 * q^33 - 18 * q^34 + 18 * q^35 + 3 * q^37 - 99 * q^38 - 36 * q^39 - 54 * q^40 - 45 * q^42 - 12 * q^43 - 9 * q^44 - 9 * q^45 + 3 * q^46 + 45 * q^47 - 24 * q^49 - 9 * q^50 - 48 * q^51 - 9 * q^52 - 45 * q^53 + 171 * q^54 + 3 * q^56 - 3 * q^58 + 36 * q^59 + 57 * q^60 - 9 * q^61 - 99 * q^62 - 33 * q^63 + 18 * q^64 + 69 * q^65 - 9 * q^66 - 3 * q^67 + 36 * q^68 + 108 * q^69 + 66 * q^70 + 18 * q^71 - 129 * q^72 - 9 * q^73 + 75 * q^74 + 36 * q^75 + 36 * q^76 + 15 * q^77 + 66 * q^78 - 21 * q^79 + 72 * q^80 - 33 * q^81 - 18 * q^82 - 90 * q^83 - 120 * q^84 + 9 * q^85 - 105 * q^86 - 54 * q^87 - 63 * q^88 - 18 * q^89 + 81 * q^90 + 6 * q^91 + 150 * q^92 + 21 * q^93 - 9 * q^94 + 45 * q^95 - 81 * q^96 + 27 * q^98 + 96 * q^99

Introduction

L-functions

Modular forms

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