LMFDB - Embedded newform 370.2.bd.a.13.3

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [370,2,Mod(13,370)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(370, base_ring=CyclotomicField(36))

chi = DirichletCharacter(H, H._module([27, 11]))

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

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

chi := DirichletCharacter("370.13");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 370 = 2 \cdot 5 \cdot 37 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	370.bd (of order $36$, degree $12$, 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:	$2.95446487479$
Analytic rank:	$0$
Dimension:	$108$
Relative dimension:	$9$ over $\Q(\zeta_{36})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{36}]$

Embedding invariants

Embedding label			13.3
Character	$\chi$	$=$	370.13
Dual form			370.2.bd.a.57.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-0.984808 - 0.173648i) q^{2} +(-0.987459 - 0.691427i) q^{3} +(0.939693 + 0.342020i) q^{4} +(0.590293 + 2.15675i) q^{5} +(0.852393 + 0.852393i) q^{6} +(-0.353973 + 4.04593i) q^{7} +(-0.866025 - 0.500000i) q^{8} +(-0.529055 - 1.45357i) q^{9} +(-0.206810 - 2.22648i) q^{10} +(-4.28330 - 2.47296i) q^{11} +(-0.691427 - 0.987459i) q^{12} +(0.625655 - 1.71897i) q^{13} +(1.05116 - 3.92300i) q^{14} +(0.908342 - 2.53784i) q^{15} +(0.766044 + 0.642788i) q^{16} +(-4.90941 + 1.78688i) q^{17} +(0.268608 + 1.52335i) q^{18} +(-2.81665 - 1.97224i) q^{19} +(-0.182957 + 2.22857i) q^{20} +(3.14700 - 3.75044i) q^{21} +(3.78880 + 3.17918i) q^{22} +(0.0366470 - 0.0211581i) q^{23} +(0.509452 + 1.09252i) q^{24} +(-4.30311 + 2.54622i) q^{25} +(-0.914647 + 1.58421i) q^{26} +(-1.41861 + 5.29431i) q^{27} +(-1.71642 + 3.68086i) q^{28} +(0.826125 - 0.221360i) q^{29} +(-1.33523 + 2.34156i) q^{30} +(-4.38335 + 4.38335i) q^{31} +(-0.642788 - 0.766044i) q^{32} +(2.51971 + 5.40354i) q^{33} +(5.14512 - 0.907223i) q^{34} +(-8.93499 + 1.62485i) q^{35} -1.54685i q^{36} +(3.10250 + 5.23207i) q^{37} +(2.43138 + 2.43138i) q^{38} +(-1.80635 + 1.26482i) q^{39} +(0.567165 - 2.16294i) q^{40} +(2.06292 - 5.66781i) q^{41} +(-3.75044 + 3.14700i) q^{42} +0.312634i q^{43} +(-3.17918 - 3.78880i) q^{44} +(2.82268 - 1.99907i) q^{45} +(-0.0397643 + 0.0144730i) q^{46} +(-10.1287 - 2.71398i) q^{47} +(-0.311997 - 1.16439i) q^{48} +(-9.35059 - 1.64876i) q^{49} +(4.67988 - 1.76031i) q^{50} +(6.08334 + 1.63003i) q^{51} +(1.17585 - 1.40132i) q^{52} +(0.359331 + 4.10717i) q^{53} +(2.31640 - 4.96754i) q^{54} +(2.80515 - 10.6978i) q^{55} +(2.32951 - 3.32689i) q^{56} +(1.41767 + 3.89501i) q^{57} +(-0.852013 + 0.0745415i) q^{58} +(-4.76799 + 0.417145i) q^{59} +(1.72156 - 2.07412i) q^{60} +(11.7524 - 5.48024i) q^{61} +(5.07791 - 3.55559i) q^{62} +(6.06830 - 1.62600i) q^{63} +(0.500000 + 0.866025i) q^{64} +(4.07671 + 0.334682i) q^{65} +(-1.54312 - 5.75899i) q^{66} +(1.39113 + 0.121708i) q^{67} -5.22449 q^{68} +(-0.0508167 - 0.00444588i) q^{69} +(9.08140 - 0.0486227i) q^{70} +(1.45365 + 8.24408i) q^{71} +(-0.268608 + 1.52335i) q^{72} +(-6.82581 + 6.82581i) q^{73} +(-2.14682 - 5.69132i) q^{74} +(6.00967 + 0.460992i) q^{75} +(-1.97224 - 2.81665i) q^{76} +(11.5216 - 16.4546i) q^{77} +(1.99854 - 0.931937i) q^{78} +(-1.18766 + 13.5750i) q^{79} +(-0.934139 + 2.03160i) q^{80} +(1.50657 - 1.26416i) q^{81} +(-3.01578 + 5.22349i) q^{82} +(-2.21852 - 1.03451i) q^{83} +(4.23994 - 2.44793i) q^{84} +(-6.75184 - 9.53358i) q^{85} +(0.0542883 - 0.307884i) q^{86} +(-0.968819 - 0.352621i) q^{87} +(2.47296 + 4.28330i) q^{88} +(-0.528178 - 6.03710i) q^{89} +(-3.12693 + 1.47854i) q^{90} +(6.73338 + 3.13983i) q^{91} +(0.0416734 - 0.00734814i) q^{92} +(7.35914 - 1.29761i) q^{93} +(9.50356 + 4.43158i) q^{94} +(2.59097 - 7.23900i) q^{95} +(0.105063 + 1.20088i) q^{96} +(1.94734 + 3.37289i) q^{97} +(8.92223 + 3.24743i) q^{98} +(-1.32852 + 7.53439i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 108 q + 6 q^{3} + 6 q^{10} + 36 q^{11} - 6 q^{12} - 12 q^{14} - 12 q^{17} - 12 q^{19} - 42 q^{21} - 36 q^{23} + 6 q^{24} - 6 q^{25} - 6 q^{26} - 6 q^{27} - 24 q^{30} + 6 q^{33} - 66 q^{35} + 48 q^{38} - 12 q^{40}+ \cdots + 42 q^{99}+O(q^{100}) $ 108 * q + 6 * q^3 + 6 * q^10 + 36 * q^11 - 6 * q^12 - 12 * q^14 - 12 * q^17 - 12 * q^19 - 42 * q^21 - 36 * q^23 + 6 * q^24 - 6 * q^25 - 6 * q^26 - 6 * q^27 - 24 * q^30 + 6 * q^33 - 66 * q^35 + 48 * q^38 - 12 * q^40 + 48 * q^41 + 66 * q^42 - 6 * q^44 - 162 * q^45 + 6 * q^46 + 24 * q^47 + 12 * q^49 + 36 * q^50 - 12 * q^51 + 12 * q^53 + 18 * q^54 + 48 * q^57 + 6 * q^58 - 24 * q^59 - 36 * q^61 - 30 * q^62 + 102 * q^63 + 54 * q^64 + 54 * q^65 - 54 * q^67 + 96 * q^69 - 36 * q^70 - 48 * q^71 - 84 * q^73 - 42 * q^74 + 252 * q^75 - 6 * q^76 + 36 * q^77 - 36 * q^78 - 66 * q^79 - 6 * q^80 - 108 * q^81 + 6 * q^82 - 60 * q^83 - 18 * q^85 - 168 * q^87 + 12 * q^88 + 66 * q^89 + 12 * q^90 - 18 * q^91 - 18 * q^92 - 18 * q^94 - 18 * q^95 + 12 * q^96 - 36 * q^97 - 60 * q^98 + 42 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/370\mathbb{Z}\right)^\times$.

$n$	$261$	$297$
$\chi(n)$	$e\left(\frac{11}{36}\right)$	$e\left(\frac{3}{4}\right)$

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 $

$2$	−0.984808	−	0.173648i	−0.696364	−	0.122788i
$2$	−0.984808	−	0.173648i	−0.696364	−	0.122788i
$3$	−0.987459	−	0.691427i	−0.570110	−	0.399195i	0.252672	−	0.967552i	$-0.418691\pi$
$3$	−0.987459	−	0.691427i	−0.570110	−	0.399195i	−0.822782	+	0.568357i	$0.807579\pi$
$4$	0.939693	+	0.342020i	0.469846	+	0.171010i
$5$	0.590293	+	2.15675i	0.263987	+	0.964526i
$5$	0.590293	+	2.15675i	0.263987	+	0.964526i
$6$	0.852393	+	0.852393i	0.347988	+	0.347988i
$7$	−0.353973	+	4.04593i	−0.133789	+	1.52922i	0.571680	+	0.820477i	$0.306292\pi$
$7$	−0.353973	+	4.04593i	−0.133789	+	1.52922i	−0.705469	+	0.708741i	$0.749264\pi$
$8$	−0.866025	−	0.500000i	−0.306186	−	0.176777i
$9$	−0.529055	−	1.45357i	−0.176352	−	0.484522i
$10$	−0.206810	−	2.22648i	−0.0653990	−	0.704076i
$11$	−4.28330	−	2.47296i	−1.29146	−	0.745626i	−0.312549	−	0.949902i	$-0.601183\pi$
$11$	−4.28330	−	2.47296i	−1.29146	−	0.745626i	−0.978913	+	0.204275i	$0.934516\pi$
$12$	−0.691427	−	0.987459i	−0.199598	−	0.285055i
$13$	0.625655	−	1.71897i	0.173526	−	0.476757i	−0.822191	−	0.569211i	$-0.807249\pi$
$13$	0.625655	−	1.71897i	0.173526	−	0.476757i	0.995717	+	0.0924535i	$0.0294710\pi$
$14$	1.05116	−	3.92300i	0.280935	−	1.04846i
$15$	0.908342	−	2.53784i	0.234533	−	0.655268i
$16$	0.766044	+	0.642788i	0.191511	+	0.160697i
$17$	−4.90941	+	1.78688i	−1.19071	+	0.433382i	−0.859972	−	0.510341i	$-0.829519\pi$
$17$	−4.90941	+	1.78688i	−1.19071	+	0.433382i	−0.330736	+	0.943723i	$0.607297\pi$
$18$	0.268608	+	1.52335i	0.0633116	+	0.359058i
$19$	−2.81665	−	1.97224i	−0.646184	−	0.452463i	0.203984	−	0.978974i	$-0.434611\pi$
$19$	−2.81665	−	1.97224i	−0.646184	−	0.452463i	−0.850168	+	0.526511i	$0.823500\pi$
$20$	−0.182957	+	2.22857i	−0.0409104	+	0.498324i
$21$	3.14700	−	3.75044i	0.686731	−	0.818414i
$22$	3.78880	+	3.17918i	0.807775	+	0.677803i
$23$	0.0366470	−	0.0211581i	0.00764142	−	0.00441177i	−0.496174	−	0.868223i	$-0.665262\pi$
$23$	0.0366470	−	0.0211581i	0.00764142	−	0.00441177i	0.503816	+	0.863811i	$0.331929\pi$
$24$	0.509452	+	1.09252i	0.103991	+	0.223010i
$25$	−4.30311	+	2.54622i	−0.860622	+	0.509245i
$26$	−0.914647	+	1.58421i	−0.179377	+	0.310690i
$27$	−1.41861	+	5.29431i	−0.273011	+	1.01889i
$28$	−1.71642	+	3.68086i	−0.324372	+	0.695618i
$29$	0.826125	−	0.221360i	0.153408	−	0.0411054i	−0.181298	−	0.983428i	$-0.558030\pi$
$29$	0.826125	−	0.221360i	0.153408	−	0.0411054i	0.334706	+	0.942323i	$0.391363\pi$
$30$	−1.33523	+	2.34156i	−0.243779	+	0.427508i
$31$	−4.38335	+	4.38335i	−0.787272	+	0.787272i	−0.981046	−	0.193774i	$-0.937927\pi$
$31$	−4.38335	+	4.38335i	−0.787272	+	0.787272i	0.193774	+	0.981046i	$0.437927\pi$
$32$	−0.642788	−	0.766044i	−0.113630	−	0.135419i
$33$	2.51971	+	5.40354i	0.438625	+	0.940635i
$34$	5.14512	−	0.907223i	0.882380	−	0.155587i
$35$	−8.93499	+	1.62485i	−1.51029	+	0.274650i
$36$		−	1.54685i		−	0.257809i
$37$	3.10250	+	5.23207i	0.510047	+	0.860146i
$37$	3.10250	+	5.23207i	0.510047	+	0.860146i
$38$	2.43138	+	2.43138i	0.394422	+	0.394422i
$39$	−1.80635	+	1.26482i	−0.289248	+	0.202534i
$40$	0.567165	−	2.16294i	0.0896766	−	0.341991i
$41$	2.06292	−	5.66781i	0.322173	−	0.885164i	−0.667854	−	0.744292i	$-0.732787\pi$
$41$	2.06292	−	5.66781i	0.322173	−	0.885164i	0.990028	−	0.140872i	$-0.0449906\pi$
$42$	−3.75044	+	3.14700i	−0.578706	+	0.485592i
$43$			0.312634i			0.0476762i	0.999716	+	0.0238381i	$0.00758862\pi$
$43$			0.312634i			0.0476762i	−0.999716	+	0.0238381i	$0.992411\pi$
$44$	−3.17918	−	3.78880i	−0.479279	−	0.571183i
$45$	2.82268	−	1.99907i	0.420780	−	0.298003i
$46$	−0.0397643	+	0.0144730i	−0.00586292	+	0.00213393i
$47$	−10.1287	−	2.71398i	−1.47742	−	0.395875i	−0.571955	−	0.820285i	$-0.693815\pi$
$47$	−10.1287	−	2.71398i	−1.47742	−	0.395875i	−0.905470	+	0.424411i	$0.860481\pi$
$48$	−0.311997	−	1.16439i	−0.0450329	−	0.168065i
$49$	−9.35059	−	1.64876i	−1.33580	−	0.235537i
$50$	4.67988	−	1.76031i	0.661835	−	0.248946i
$51$	6.08334	+	1.63003i	0.851839	+	0.228249i
$52$	1.17585	−	1.40132i	0.163061	−	0.194328i
$53$	0.359331	+	4.10717i	0.0493579	+	0.564163i	0.980102	+	0.198493i	$0.0636047\pi$
$53$	0.359331	+	4.10717i	0.0493579	+	0.564163i	−0.930744	+	0.365670i	$0.880840\pi$
$54$	2.31640	−	4.96754i	0.315222	−	0.675997i
$55$	2.80515	−	10.6978i	0.378247	−	1.44249i
$56$	2.32951	−	3.32689i	0.311294	−	0.444575i
$57$	1.41767	+	3.89501i	0.187775	+	0.515907i
$58$	−0.852013	+	0.0745415i	−0.111875	+	0.00978778i
$59$	−4.76799	+	0.417145i	−0.620739	+	0.0543077i	−0.393188	−	0.919458i	$-0.628628\pi$
$59$	−4.76799	+	0.417145i	−0.620739	+	0.0543077i	−0.227552	+	0.973766i	$0.573072\pi$
$60$	1.72156	−	2.07412i	0.222252	−	0.267768i
$61$	11.7524	−	5.48024i	1.50474	−	0.701673i	0.516745	−	0.856139i	$-0.327143\pi$
$61$	11.7524	−	5.48024i	1.50474	−	0.701673i	0.987998	+	0.154466i	$0.0493656\pi$
$62$	5.07791	−	3.55559i	0.644896	−	0.451561i
$63$	6.06830	−	1.62600i	0.764534	−	0.204856i
$64$	0.500000	+	0.866025i	0.0625000	+	0.108253i
$65$	4.07671	+	0.334682i	0.505654	+	0.0415122i
$66$	−1.54312	−	5.75899i	−0.189944	−	0.708882i
$67$	1.39113	+	0.121708i	0.169954	+	0.0148690i	0.171815	−	0.985129i	$-0.445037\pi$
$67$	1.39113	+	0.121708i	0.169954	+	0.0148690i	−0.00186112	+	0.999998i	$0.500592\pi$
$68$	−5.22449			−0.633562
$69$	−0.0508167	−	0.00444588i	−0.00611761	−	0.000535221i
$70$	9.08140	−	0.0486227i	1.08543	−	0.00581152i
$71$	1.45365	+	8.24408i	0.172517	+	0.978392i	0.940971	+	0.338487i	$0.109915\pi$
$71$	1.45365	+	8.24408i	0.172517	+	0.978392i	−0.768454	+	0.639905i	$0.778974\pi$
$72$	−0.268608	+	1.52335i	−0.0316558	+	0.179529i
$73$	−6.82581	+	6.82581i	−0.798900	+	0.798900i	−0.982922	−	0.184022i	$-0.941088\pi$
$73$	−6.82581	+	6.82581i	−0.798900	+	0.798900i	0.184022	+	0.982922i	$0.441088\pi$
$74$	−2.14682	−	5.69132i	−0.249563	−	0.661603i
$75$	6.00967	+	0.460992i	0.693937	+	0.0532307i
$76$	−1.97224	−	2.81665i	−0.226231	−	0.323092i
$77$	11.5216	−	16.4546i	1.31301	−	1.87517i
$78$	1.99854	−	0.931937i	0.226291	−	0.105521i
$79$	−1.18766	+	13.5750i	−0.133622	+	1.52730i	0.572907	+	0.819620i	$0.305816\pi$
$79$	−1.18766	+	13.5750i	−0.133622	+	1.52730i	−0.706529	+	0.707684i	$0.749740\pi$
$80$	−0.934139	+	2.03160i	−0.104440	+	0.227139i
$81$	1.50657	−	1.26416i	0.167397	−	0.140462i
$82$	−3.01578	+	5.22349i	−0.333037	+	0.576838i
$83$	−2.21852	−	1.03451i	−0.243514	−	0.113552i	0.297030	−	0.954868i	$-0.404004\pi$
$83$	−2.21852	−	1.03451i	−0.243514	−	0.113552i	−0.540544	+	0.841316i	$0.681782\pi$
$84$	4.23994	−	2.44793i	0.462615	−	0.267091i
$85$	−6.75184	−	9.53358i	−0.732340	−	1.03406i
$86$	0.0542883	−	0.307884i	0.00585405	−	0.0332000i
$87$	−0.968819	−	0.352621i	−0.103868	−	0.0378050i
$88$	2.47296	+	4.28330i	0.263619	+	0.456601i
$89$	−0.528178	−	6.03710i	−0.0559867	−	0.639931i	−0.971405	−	0.237428i	$-0.923696\pi$
$89$	−0.528178	−	6.03710i	−0.0559867	−	0.639931i	0.915419	−	0.402503i	$-0.131860\pi$
$90$	−3.12693	+	1.47854i	−0.329607	+	0.155852i
$91$	6.73338	+	3.13983i	0.705850	+	0.329143i
$92$	0.0416734	−	0.00734814i	0.00434475	−	0.000766097i
$93$	7.35914	−	1.29761i	0.763107	−	0.134556i
$94$	9.50356	+	4.43158i	0.980217	+	0.457083i
$95$	2.59097	−	7.23900i	0.265828	−	0.742705i
$96$	0.105063	+	1.20088i	0.0107230	+	0.122564i
$97$	1.94734	+	3.37289i	0.197722	+	0.342465i	0.947790	−	0.318896i	$-0.103312\pi$
$97$	1.94734	+	3.37289i	0.197722	+	0.342465i	−0.750067	+	0.661362i	$0.769979\pi$
$98$	8.92223	+	3.24743i	0.901281	+	0.328040i
$99$	−1.32852	+	7.53439i	−0.133521	+	0.757235i
$100$	−4.91446	+	0.920917i	−0.491446	+	0.0920917i
$101$	4.88174	−	2.81848i	0.485752	−	0.280449i	−0.237059	−	0.971495i	$-0.576183\pi$
$101$	4.88174	−	2.81848i	0.485752	−	0.280449i	0.722810	+	0.691046i	$0.242850\pi$
$102$	−5.70787	−	2.66163i	−0.565164	−	0.263540i
$103$	8.71607	−	15.0967i	0.858820	−	1.48752i	−0.0142345	−	0.999899i	$-0.504531\pi$
$103$	8.71607	−	15.0967i	0.858820	−	1.48752i	0.873055	−	0.487622i	$-0.162136\pi$
$104$	−1.40132	+	1.17585i	−0.137411	+	0.115301i
$105$	9.94641	+	4.57341i	0.970670	+	0.446319i
$106$	0.359331	−	4.10717i	0.0349013	−	0.398924i
$107$	−0.240814	+	0.112293i	−0.0232804	+	0.0108558i	−0.434224	−	0.900805i	$-0.642977\pi$
$107$	−0.240814	+	0.112293i	−0.0232804	+	0.0108558i	0.410943	+	0.911661i	$0.365199\pi$
$108$	−3.14382	+	4.48983i	−0.302514	+	0.432034i
$109$	7.85786	+	11.2222i	0.752646	+	1.07489i	0.994516	+	0.104581i	$0.0333503\pi$
$109$	7.85786	+	11.2222i	0.752646	+	1.07489i	−0.241870	+	0.970309i	$0.577761\pi$
$110$	−4.62018	+	10.0481i	−0.440517	+	0.958051i
$111$	0.554001	−	7.31160i	0.0525835	−	0.693987i
$112$	−2.87183	+	2.87183i	−0.271363	+	0.271363i
$113$	1.77537	−	10.0686i	0.167013	−	0.947179i	−0.779951	−	0.625840i	$-0.784756\pi$
$113$	1.77537	−	10.0686i	0.167013	−	0.947179i	0.946964	−	0.321338i	$-0.104133\pi$
$114$	−0.719769	−	4.08201i	−0.0674126	−	0.382316i
$115$	0.0672651	+	0.0665487i	0.00627251	+	0.00620570i
$116$	0.852013	+	0.0745415i	0.0791074	+	0.00692100i
$117$	−2.82965			−0.261601
$118$	4.76799	+	0.417145i	0.438929	+	0.0384013i
$119$	−5.49179	−	20.4957i	−0.503432	−	1.87883i
$120$	−2.05557	+	1.74367i	−0.187647	+	0.159174i
$121$	6.73109	+	11.6586i	0.611917	+	1.05987i
$122$	−12.5255	+	3.35620i	−1.13401	+	0.303856i
$123$	−5.95592	+	4.17038i	−0.537028	+	0.376031i
$124$	−5.61819	+	2.61981i	−0.504528	+	0.235265i
$125$	−8.03165	−	7.77770i	−0.718373	−	0.695658i
$126$	−6.25846	+	0.547544i	−0.557548	+	0.0487791i
$127$	−15.2208	+	1.33164i	−1.35062	+	0.118164i	−0.739386	−	0.673282i	$-0.764884\pi$
$127$	−15.2208	+	1.33164i	−1.35062	+	0.118164i	−0.611239	+	0.791446i	$0.709328\pi$
$128$	−0.342020	−	0.939693i	−0.0302306	−	0.0830579i
$129$	0.216163	−	0.308713i	0.0190321	−	0.0271807i
$130$	−3.95666	−	1.03751i	−0.347022	−	0.0909957i
$131$	−9.44431	+	20.2534i	−0.825153	+	1.76955i	−0.216184	+	0.976353i	$0.569361\pi$
$131$	−9.44431	+	20.2534i	−0.825153	+	1.76955i	−0.608969	+	0.793194i	$0.708417\pi$
$132$	0.519635	+	5.93945i	0.0452284	+	0.516963i
$133$	8.97656	−	10.6978i	0.778366	−	0.927621i
$134$	−1.34886	−	0.361427i	−0.116524	−	0.0312225i
$135$	−12.2559	+	0.0656191i	−1.05482	+	0.00564759i
$136$	5.14512	+	0.907223i	0.441190	+	0.0777937i
$137$	−1.01290	−	3.78018i	−0.0865376	−	0.322963i	0.909063	−	0.416658i	$-0.136799\pi$
$137$	−1.01290	−	3.78018i	−0.0865376	−	0.322963i	−0.995601	+	0.0936952i	$0.970132\pi$
$138$	0.0492726	+	0.0132026i	0.00419437	+	0.00112388i
$139$	12.1608	−	4.42618i	1.03147	−	0.375424i	0.229828	−	0.973231i	$-0.426183\pi$
$139$	12.1608	−	4.42618i	1.03147	−	0.375424i	0.801640	+	0.597807i	$0.203961\pi$
$140$	−8.95188	−	1.52908i	−0.756572	−	0.129231i
$141$	8.12517	+	9.68321i	0.684263	+	0.815473i
$142$		−	8.37125i		−	0.702500i
$143$	−6.93082	+	5.81565i	−0.579585	+	0.486329i
$144$	0.529055	−	1.45357i	0.0440879	−	0.121131i
$145$	0.965072	+	1.65108i	0.0801449	+	0.137114i
$146$	7.90739	−	5.53682i	0.654421	−	0.458230i
$147$	8.09333	+	8.09333i	0.667527	+	0.667527i
$148$	1.12592	+	5.97765i	0.0925501	+	0.491360i
$149$			0.936116i			0.0766896i	0.999265	+	0.0383448i	$0.0122085\pi$
$149$			0.936116i			0.0766896i	−0.999265	+	0.0383448i	$0.987791\pi$
$150$	−5.83832	−	1.49756i	−0.476697	−	0.122275i
$151$	22.5854	−	3.98242i	1.83798	−	0.324085i	0.856570	−	0.516030i	$-0.172591\pi$
$151$	22.5854	−	3.98242i	1.83798	−	0.324085i	0.981406	+	0.191945i	$0.0614797\pi$
$152$	1.45317	+	3.11633i	0.117868	+	0.252768i
$153$	5.19470	+	6.19080i	0.419967	+	0.500497i
$154$	−14.2039	+	14.2039i	−1.14458	+	1.14458i
$155$	−12.0412	−	6.86631i	−0.967174	−	0.551515i
$156$	−2.13001	+	0.570735i	−0.170537	+	0.0456954i
$157$	−5.76698	+	12.3673i	−0.460255	+	0.987019i	0.530032	+	0.847978i	$0.322180\pi$
$157$	−5.76698	+	12.3673i	−0.460255	+	0.987019i	−0.990287	+	0.139042i	$0.955598\pi$
$158$	3.52688	−	13.1625i	0.280584	−	1.04715i
$159$	2.48498	−	4.30412i	0.197072	−	0.341339i
$160$	1.27273	−	1.83852i	0.100618	−	0.145348i
$161$	0.0726323	+	0.155760i	0.00572422	+	0.0122756i
$162$	−1.70320	+	0.983343i	−0.133816	+	0.0772588i
$163$	−4.85711	−	4.07560i	−0.380439	−	0.319226i	0.432436	−	0.901665i	$-0.357654\pi$
$163$	−4.85711	−	4.07560i	−0.380439	−	0.319226i	−0.812875	+	0.582439i	$0.802099\pi$
$164$	3.87701	−	4.62044i	0.302744	−	0.360796i
$165$	−10.1667	+	8.62404i	−0.791476	+	0.671381i
$166$	2.00517	+	1.40404i	0.155631	+	0.108974i
$167$	−0.676327	−	3.83564i	−0.0523358	−	0.296811i	0.947394	−	0.320071i	$-0.103707\pi$
$167$	−0.676327	−	3.83564i	−0.0523358	−	0.296811i	−0.999729	+	0.0232597i	$0.992596\pi$
$168$	−4.60060	+	1.67448i	−0.354944	+	0.129189i
$169$	7.39515	+	6.20527i	0.568858	+	0.477328i
$170$	4.99378	+	10.5612i	0.383005	+	0.810006i
$171$	−1.37662	+	5.13761i	−0.105273	+	0.392883i
$172$	−0.106927	+	0.293779i	−0.00815311	+	0.0224005i
$173$	5.12612	+	7.32086i	0.389732	+	0.556595i	0.965295	−	0.261163i	$-0.0841059\pi$
$173$	5.12612	+	7.32086i	0.389732	+	0.556595i	−0.575563	+	0.817758i	$0.695217\pi$
$174$	0.892868	+	0.515498i	0.0676882	+	0.0390798i
$175$	−8.77865	−	18.3114i	−0.663604	−	1.38421i
$176$	−1.69161	−	4.64765i	−0.127510	−	0.350330i
$177$	4.99662	+	2.88480i	0.375569	+	0.216835i
$178$	−0.528178	+	6.03710i	−0.0395886	+	0.452500i
$179$	−0.741922	−	0.741922i	−0.0554538	−	0.0554538i	0.678836	−	0.734290i	$-0.262485\pi$
$179$	−0.741922	−	0.741922i	−0.0554538	−	0.0554538i	−0.734290	+	0.678836i	$0.762485\pi$
$180$	3.33617	−	0.913096i	0.248663	−	0.0680582i
$181$	−18.1989	−	6.62384i	−1.35271	−	0.492346i	−0.438918	−	0.898527i	$-0.644638\pi$
$181$	−18.1989	−	6.62384i	−1.35271	−	0.492346i	−0.913793	+	0.406181i	$0.866860\pi$
$182$	−6.08586	−	4.26137i	−0.451114	−	0.315873i
$183$	−15.3942	−	2.71442i	−1.13797	−	0.200656i
$184$	−0.0423163			−0.00311960
$185$	−9.45286	+	9.77975i	−0.694988	+	0.719021i
$186$	−7.47267			−0.547922
$187$	25.4474	+	4.48706i	1.86090	+	0.328126i
$188$	−8.58964	−	6.01453i	−0.626464	−	0.438655i
$189$	−20.9183	−	7.61362i	−1.52158	−	0.553810i
$190$	−3.80865	+	6.67910i	−0.276308	+	0.484553i
$191$	−9.77055	−	9.77055i	−0.706972	−	0.706972i	0.258925	−	0.965897i	$-0.416632\pi$
$191$	−9.77055	−	9.77055i	−0.706972	−	0.706972i	−0.965897	+	0.258925i	$0.916632\pi$
$192$	0.105063	−	1.20088i	0.00758229	−	0.0866659i
$193$	−13.1414	−	7.58719i	−0.945939	−	0.546138i	−0.0541217	−	0.998534i	$-0.517236\pi$
$193$	−13.1414	−	7.58719i	−0.945939	−	0.546138i	−0.891817	+	0.452396i	$0.850569\pi$
$194$	−1.33206	−	3.65980i	−0.0956362	−	0.262758i
$195$	−3.79418	−	3.14923i	−0.271707	−	0.225521i
$196$	−8.22277	−	4.74742i	−0.587341	−	0.339101i
$197$	14.7937	+	21.1276i	1.05401	+	1.50528i	0.850336	+	0.526240i	$0.176399\pi$
$197$	14.7937	+	21.1276i	1.05401	+	1.50528i	0.203672	+	0.979039i	$0.434712\pi$
$198$	2.61667	−	7.18923i	0.185958	−	0.510916i
$199$	2.33868	−	8.72807i	0.165785	−	0.618716i	−0.832154	−	0.554544i	$-0.812893\pi$
$199$	2.33868	−	8.72807i	0.165785	−	0.618716i	0.997939	−	0.0641723i	$-0.0204407\pi$
$200$	4.99971	−	0.0535394i	0.353533	−	0.00378581i
$201$	−1.28953	−	1.08205i	−0.0909568	−	0.0763218i
$202$	−5.29700	+	1.92795i	−0.372696	+	0.135650i
$203$	0.603179	+	3.42080i	0.0423349	+	0.240093i
$204$	5.15897	+	3.61235i	0.361200	+	0.252915i
$205$	13.4418	+	1.10352i	0.938813	+	0.0770729i
$206$	−11.2052	+	13.3538i	−0.780701	+	0.930403i
$207$	−0.0501430	−	0.0420750i	−0.00348518	−	0.00292441i
$208$	1.58421	−	0.914647i	0.109846	−	0.0634193i
$209$	7.18727	+	15.4132i	0.497154	+	1.06615i
$210$	−9.00113	−	6.23111i	−0.621137	−	0.429987i
$211$	0.533061	−	0.923289i	0.0366974	−	0.0635618i	−0.847093	−	0.531444i	$-0.821650\pi$
$211$	0.533061	−	0.923289i	0.0366974	−	0.0635618i	0.883791	+	0.467882i	$0.154983\pi$
$212$	−1.06707	+	3.98238i	−0.0732870	+	0.273511i
$213$	4.26475	−	9.14578i	0.292216	−	0.626659i
$214$	0.256655	−	0.0687705i	0.0175446	−	0.00470105i
$215$	−0.674271	+	0.184545i	−0.0459849	+	0.0125859i
$216$	3.87570	−	3.87570i	0.263708	−	0.263708i
$217$	−16.1831	−	19.2863i	−1.09858	−	1.30924i
$218$	−5.78977	−	12.4162i	−0.392132	−	0.840931i
$219$	11.4597	−	2.02066i	0.774378	−	0.136544i
$220$	6.29483	−	9.09318i	0.424397	−	0.613062i
$221$			9.55712i			0.642882i
$222$	−1.81523	+	7.10432i	−0.121830	+	0.476811i
$223$	10.8387	+	10.8387i	0.725811	+	0.725811i	0.969782	−	0.243971i	$-0.0784503\pi$
$223$	10.8387	+	10.8387i	0.725811	+	0.725811i	−0.243971	+	0.969782i	$0.578450\pi$
$224$	3.32689	−	2.32951i	0.222287	−	0.155647i
$225$	5.97769	+	4.90776i	0.398512	+	0.327184i
$226$	−3.49680	+	9.60739i	−0.232604	+	0.639074i
$227$	−1.62894	+	1.36684i	−0.108117	+	0.0907206i	−0.695243	−	0.718774i	$-0.744703\pi$
$227$	−1.62894	+	1.36684i	−0.108117	+	0.0907206i	0.587127	+	0.809495i	$0.300259\pi$
$228$			4.14499i			0.274508i
$229$	5.74111	+	6.84199i	0.379383	+	0.452131i	0.921619	−	0.388095i	$-0.126867\pi$
$229$	5.74111	+	6.84199i	0.379383	+	0.452131i	−0.542236	+	0.840226i	$0.682422\pi$
$230$	−0.0546872	−	0.0772181i	−0.00360597	−	0.00509161i
$231$	−22.7542	+	8.28186i	−1.49712	+	0.544907i
$232$	−0.826125	−	0.221360i	−0.0542378	−	0.0145330i
$233$	6.25861	+	23.3574i	0.410015	+	1.53020i	0.794615	+	0.607114i	$0.207673\pi$
$233$	6.25861	+	23.3574i	0.410015	+	1.53020i	−0.384600	+	0.923083i	$0.625661\pi$
$234$	2.78666	+	0.491363i	0.182170	+	0.0321214i
$235$	−0.125538	−	23.4471i	−0.00818919	−	1.52952i
$236$	−4.62312	−	1.23876i	−0.300939	−	0.0806364i
$237$	10.5589	−	12.5836i	0.685872	−	0.817390i
$238$	1.84933	+	21.1379i	0.119874	+	1.37017i
$239$	−9.62796	+	20.6472i	−0.622781	+	1.33556i	0.301361	+	0.953510i	$0.402559\pi$
$239$	−9.62796	+	20.6472i	−0.622781	+	1.33556i	−0.924142	+	0.382049i	$0.875219\pi$
$240$	2.32712	−	1.36023i	0.150215	−	0.0878025i
$241$	−14.6417	+	20.9105i	−0.943153	+	1.34696i	−0.00527873	+	0.999986i	$0.501680\pi$
$241$	−14.6417	+	20.9105i	−0.943153	+	1.34696i	−0.937874	+	0.346976i	$0.887209\pi$
$242$	−4.60434	−	12.6503i	−0.295978	−	0.813193i
$243$	14.0189	−	1.22649i	0.899313	−	0.0786797i
$244$	12.9180	−	1.13018i	0.826991	−	0.0723524i
$245$	−1.96363	−	21.1401i	−0.125451	−	1.35059i
$246$	6.58962	−	3.07279i	0.420139	−	0.195914i
$247$	−5.15248	+	3.60780i	−0.327844	+	0.229559i
$248$	5.98776	−	1.60442i	0.380223	−	0.101881i
$249$	1.47541	+	2.55548i	0.0935001	+	0.161947i
$250$	6.55905	+	9.05422i	0.414831	+	0.572639i
$251$	−5.23746	−	19.5465i	−0.330585	−	1.23376i	−0.908576	−	0.417719i	$-0.862830\pi$
$251$	−5.23746	−	19.5465i	−0.330585	−	1.23376i	0.577991	−	0.816043i	$-0.303837\pi$
$252$	6.25846	+	0.547544i	0.394246	+	0.0344920i
$253$	−0.209293			−0.0131581
$254$	15.2208	+	1.33164i	0.955036	+	0.0835548i
$255$	0.0753986	+	14.0824i	0.00472164	+	0.881876i
$256$	0.173648	+	0.984808i	0.0108530	+	0.0615505i
$257$	4.44679	−	25.2190i	0.277383	−	1.57312i	−0.453906	−	0.891050i	$-0.649970\pi$
$257$	4.44679	−	25.2190i	0.277383	−	1.57312i	0.731289	−	0.682068i	$-0.238919\pi$
$258$	−0.266487	+	0.266487i	−0.0165907	+	0.0165907i
$259$	−22.2668	+	10.7005i	−1.38359	+	0.664895i
$260$	3.71639	+	1.70882i	0.230480	+	0.105976i
$261$	−0.758826	−	1.08372i	−0.0469702	−	0.0670804i
$262$	12.8178	−	18.3057i	0.791886	−	1.13093i
$263$	2.73273	−	1.27429i	0.168507	−	0.0785763i	−0.336534	−	0.941671i	$-0.609255\pi$
$263$	2.73273	−	1.27429i	0.168507	−	0.0785763i	0.505042	+	0.863095i	$0.331477\pi$
$264$	0.519635	−	5.93945i	0.0319813	−	0.365548i
$265$	−8.64602	+	3.19942i	−0.531121	+	0.196539i
$266$	−10.6978	+	8.97656i	−0.655927	+	0.550388i
$267$	−3.65266	+	6.32658i	−0.223539	+	0.387181i
$268$	1.26561	+	0.590164i	0.0773095	+	0.0360500i
$269$	−8.13497	+	4.69673i	−0.495998	+	0.286365i	−0.727059	−	0.686575i	$-0.759114\pi$
$269$	−8.13497	+	4.69673i	−0.495998	+	0.286365i	0.231061	+	0.972939i	$0.425780\pi$
$270$	12.0811	+	2.06359i	0.735231	+	0.125586i
$271$	−1.02125	+	5.79181i	−0.0620366	+	0.351827i	0.937951	+	0.346769i	$0.112721\pi$
$271$	−1.02125	+	5.79181i	−0.0620366	+	0.351827i	−0.999987	+	0.00505827i	$0.998390\pi$
$272$	−4.90941	−	1.78688i	−0.297677	−	0.108346i
$273$	−4.47798	−	7.75609i	−0.271020	−	0.469420i
$274$	0.341087	+	3.89864i	0.0206058	+	0.235526i
$275$	24.7282	−	0.264802i	1.49117	−	0.0159682i
$276$	−0.0462315	−	0.0215581i	−0.00278281	−	0.00129764i
$277$	−6.03182	+	1.06357i	−0.362417	+	0.0639039i	−0.351892	−	0.936041i	$-0.614461\pi$
$277$	−6.03182	+	1.06357i	−0.362417	+	0.0639039i	−0.0105252	+	0.999945i	$0.503350\pi$
$278$	−12.7447	+	2.24723i	−0.764375	+	0.134780i
$279$	8.69052	+	4.05245i	0.520288	+	0.242614i
$280$	8.55036	+	3.06033i	0.510981	+	0.182890i
$281$	−1.83463	−	20.9700i	−0.109445	−	1.25096i	−0.830078	−	0.557647i	$-0.811704\pi$
$281$	−1.83463	−	20.9700i	−0.109445	−	1.25096i	0.720633	−	0.693317i	$-0.243851\pi$
$282$	−6.32026	−	10.9470i	−0.376366	−	0.651885i
$283$	−1.59352	−	0.579994i	−0.0947249	−	0.0344770i	0.294223	−	0.955737i	$-0.404939\pi$
$283$	−1.59352	−	0.579994i	−0.0947249	−	0.0344770i	−0.388948	+	0.921260i	$0.627161\pi$
$284$	−1.45365	+	8.24408i	−0.0862584	+	0.489196i
$285$	−7.56372	+	5.35675i	−0.448036	+	0.317306i
$286$	7.83541	−	4.52377i	0.463317	−	0.267496i
$287$	22.2014	+	10.3527i	1.31050	+	0.611098i
$288$	−0.773427	+	1.33961i	−0.0455746	+	0.0789375i
$289$	7.88665	−	6.61769i	0.463921	−	0.389276i
$290$	−0.663704	−	1.79357i	−0.0389741	−	0.105322i
$291$	0.409188	−	4.67704i	0.0239870	−	0.274173i
$292$	−8.74872	+	4.07960i	−0.511980	+	0.238740i
$293$	−12.8647	+	18.3727i	−0.751564	+	1.07334i	0.243083	+	0.970006i	$0.421841\pi$
$293$	−12.8647	+	18.3727i	−0.751564	+	1.07334i	−0.994646	+	0.103338i	$0.967048\pi$
$294$	−6.56498	−	9.37577i	−0.382878	−	0.546806i
$295$	−3.71419	−	10.0371i	−0.216248	−	0.584383i
$296$	−0.0708068	−	6.08235i	−0.00411556	−	0.353529i
$297$	19.1689	−	19.1689i	1.11230	−	1.11230i
$298$	0.162555	−	0.921895i	0.00941655	−	0.0534039i
$299$	−0.0134419	−	0.0762328i	−0.000777366	−	0.00440866i
$300$	5.48958	+	2.48862i	0.316941	+	0.143681i
$301$	−1.26489	−	0.110664i	−0.0729072	−	0.00637856i
$302$	−22.9338			−1.31969
$303$	−6.76929	−	0.592237i	−0.388886	−	0.0340231i
$304$	−0.889948	−	3.32133i	−0.0510420	−	0.190491i
$305$	18.7569	+	22.1120i	1.07402	+	1.26613i
$306$	−4.04076	−	6.99880i	−0.230995	−	0.400095i
$307$	9.49112	−	2.54314i	0.541687	−	0.145145i	0.0224073	−	0.999749i	$-0.492867\pi$
$307$	9.49112	−	2.54314i	0.541687	−	0.145145i	0.519280	+	0.854604i	$0.326200\pi$
$308$	16.4546	−	11.5216i	0.937585	−	0.656504i
$309$	−19.0450	+	8.88084i	−1.08343	+	0.505213i
$310$	10.6660	+	8.85293i	0.605786	+	0.502813i
$311$	−9.44835	+	0.826624i	−0.535767	+	0.0468735i	−0.351829	−	0.936064i	$-0.614440\pi$
$311$	−9.44835	+	0.826624i	−0.535767	+	0.0468735i	−0.183938	+	0.982938i	$0.558885\pi$
$312$	2.19676	−	0.192191i	0.124367	−	0.0108807i
$313$	−10.1810	−	27.9721i	−0.575465	−	1.58108i	−0.795739	−	0.605639i	$-0.792917\pi$
$313$	−10.1810	−	27.9721i	−0.575465	−	1.58108i	0.220274	−	0.975438i	$-0.429305\pi$
$314$	7.82692	−	11.1780i	0.441699	−	0.630811i
$315$	7.08893	+	12.1280i	0.399416	+	0.683333i
$316$	−5.75895	+	12.3501i	−0.323966	+	0.694748i
$317$	1.85624	+	21.2170i	0.104257	+	1.19166i	0.850494	+	0.525984i	$0.176303\pi$
$317$	1.85624	+	21.2170i	0.104257	+	1.19166i	−0.746237	+	0.665680i	$0.768142\pi$
$318$	−3.19463	+	3.80721i	−0.179146	+	0.213498i
$319$	−4.08595	−	1.09483i	−0.228769	−	0.0612986i
$320$	−1.57265	+	1.58958i	−0.0879138	+	0.0888603i
$321$	0.315437	+	0.0556200i	0.0176059	+	0.00310440i
$322$	−0.0444813	−	0.166006i	−0.00247885	−	0.00925118i
$323$	17.3523	+	4.64952i	0.965505	+	0.258706i
$324$	1.84808	−	0.672646i	0.102671	−	0.0373692i
$325$	1.68463	+	8.98999i	0.0934463	+	0.498675i
$326$	4.07560	+	4.85711i	0.225727	+	0.269011i
$327$		−	16.5146i		−	0.913258i
$328$	−4.62044	+	3.87701i	−0.255121	+	0.214072i
$329$	14.5659	−	40.0194i	0.803042	−	2.20634i
$330$	11.5098	−	6.72760i	0.633593	−	0.370342i
$331$	11.8397	−	8.29024i	0.650768	−	0.455673i	−0.201001	−	0.979591i	$-0.564419\pi$
$331$	11.8397	−	8.29024i	0.650768	−	0.455673i	0.851768	+	0.523919i	$0.175530\pi$
$332$	−1.73090	−	1.73090i	−0.0949954	−	0.0949954i
$333$	5.96377	−	7.27773i	0.326812	−	0.398817i
$334$			3.89481i			0.213115i
$335$	0.558681	+	3.07216i	0.0305240	+	0.167850i
$336$	4.82148	−	0.850157i	0.263033	−	0.0463799i
$337$	−4.58197	−	9.82607i	−0.249596	−	0.535260i	0.741093	−	0.671402i	$-0.234308\pi$
$337$	−4.58197	−	9.82607i	−0.249596	−	0.535260i	−0.990689	+	0.136142i	$0.956530\pi$
$338$	−6.20527	−	7.39515i	−0.337522	−	0.402243i
$339$	−8.71484	+	8.71484i	−0.473325	+	0.473325i
$340$	−3.08398	−	11.2679i	−0.167252	−	0.611088i
$341$	29.6150	−	7.93532i	1.60374	−	0.429722i
$342$	2.24784	−	4.82051i	0.121549	−	0.260663i
$343$	2.62249	−	9.78725i	0.141601	−	0.528462i
$344$	0.156317	−	0.270749i	0.00842804	−	0.0145978i
$345$	−0.0204081	−	0.112223i	−0.00109873	−	0.00604189i
$346$	−3.77699	−	8.09979i	−0.203052	−	0.435447i
$347$	23.7686	−	13.7228i	1.27597	−	0.736680i	0.299863	−	0.953982i	$-0.403059\pi$
$347$	23.7686	−	13.7228i	1.27597	−	0.736680i	0.976104	+	0.217302i	$0.0697256\pi$
$348$	−0.789788	−	0.662711i	−0.0423371	−	0.0355250i
$349$	19.9469	−	23.7717i	1.06773	−	1.27247i	0.107218	−	0.994236i	$-0.465806\pi$
$349$	19.9469	−	23.7717i	1.06773	−	1.27247i	0.960513	−	0.278236i	$-0.0897498\pi$
$350$	5.46555	+	19.5576i	0.292146	+	1.04540i
$351$	8.21322	+	5.75096i	0.438389	+	0.306964i
$352$	0.858851	+	4.87079i	0.0457769	+	0.259614i
$353$	−12.3495	+	4.49486i	−0.657299	+	0.239237i	−0.649070	−	0.760729i	$-0.724842\pi$
$353$	−12.3495	+	4.49486i	−0.657299	+	0.239237i	−0.00822921	+	0.999966i	$0.502619\pi$
$354$	−4.41977	−	3.70863i	−0.234908	−	0.197111i
$355$	−16.9223	+	8.00158i	−0.898142	+	0.424680i
$356$	1.56848	−	5.85366i	0.0831295	−	0.310243i
$357$	−8.74831	+	24.0358i	−0.463010	+	1.27211i
$358$	0.601817	+	0.859484i	0.0318070	+	0.0454251i
$359$	19.4156	+	11.2096i	1.02472	+	0.591620i	0.915467	−	0.402394i	$-0.131822\pi$
$359$	19.4156	+	11.2096i	1.02472	+	0.591620i	0.109250	+	0.994014i	$0.465155\pi$
$360$	−3.44404	+	0.319904i	−0.181517	+	0.0168604i
$361$	−2.45459	−	6.74394i	−0.129189	−	0.354944i
$362$	16.7722	+	9.68341i	0.881525	+	0.508949i
$363$	1.41438	−	16.1664i	0.0742357	−	0.848518i
$364$	5.25342	+	5.25342i	0.275354	+	0.275354i
$365$	−18.7508	−	10.6923i	−0.981459	−	0.559661i
$366$	14.6890	+	5.34636i	0.767806	+	0.279459i
$367$	−29.0589	−	20.3473i	−1.51686	−	1.06212i	−0.975147	−	0.221560i	$-0.928885\pi$
$367$	−29.0589	−	20.3473i	−1.51686	−	1.06212i	−0.541718	−	0.840560i	$-0.682226\pi$
$368$	0.0416734	+	0.00734814i	0.00217237	+	0.000383048i
$369$	−9.32994			−0.485697
$370$	11.0075	−	7.98970i	0.572252	−	0.415365i
$371$	−16.7445			−0.869332
$372$	7.35914	+	1.29761i	0.381554	+	0.0672782i
$373$	−14.5510	−	10.1887i	−0.753424	−	0.527553i	0.132613	−	0.991168i	$-0.457663\pi$
$373$	−14.5510	−	10.1887i	−0.753424	−	0.527553i	−0.886037	+	0.463614i	$0.846552\pi$
$374$	−24.2816	−	8.83778i	−1.25557	−	0.456991i
$375$	2.55322	+	13.2335i	0.131848	+	0.683373i
$376$	7.41473	+	7.41473i	0.382386	+	0.382386i
$377$	0.136358	−	1.55858i	0.00702281	−	0.0802711i
$378$	19.2784	+	11.1304i	0.991573	+	0.572485i
$379$	1.98252	+	5.44693i	0.101835	+	0.279790i	0.980139	−	0.198314i	$-0.0635465\pi$
$379$	1.98252	+	5.44693i	0.101835	+	0.279790i	−0.878303	+	0.478104i	$0.841324\pi$
$380$	4.91060	−	5.91627i	0.251908	−	0.303498i
$381$	15.9506	+	9.20910i	0.817175	+	0.471796i
$382$	7.92547	+	11.3187i	0.405502	+	0.579117i
$383$	−11.7681	+	32.3325i	−0.601321	+	1.65212i	0.147280	+	0.989095i	$0.452948\pi$
$383$	−11.7681	+	32.3325i	−0.601321	+	1.65212i	−0.748601	+	0.663021i	$0.769274\pi$
$384$	−0.311997	+	1.16439i	−0.0159216	+	0.0594200i
$385$	42.2894	+	15.1362i	2.15527	+	0.771411i
$386$	11.6243	+	9.75390i	0.591659	+	0.496461i
$387$	0.454434	−	0.165400i	0.0231002	−	0.00840777i
$388$	0.676304	+	3.83551i	0.0343341	+	0.194719i
$389$	5.88336	+	4.11957i	0.298298	+	0.208871i	0.713138	−	0.701024i	$-0.247273\pi$
$389$	5.88336	+	4.11957i	0.298298	+	0.208871i	−0.414840	+	0.909895i	$0.636162\pi$
$390$	3.18968	+	3.76024i	0.161516	+	0.190407i
$391$	−0.142108	+	0.169358i	−0.00718671	+	0.00856479i
$392$	7.27347	+	6.10317i	0.367366	+	0.308256i
$393$	23.3296	−	13.4694i	1.17682	−	0.679439i
$394$	−10.9002	−	23.3755i	−0.549144	−	1.17764i
$395$	−29.9788	+	5.45174i	−1.50840	+	0.274307i
$396$	−3.82531	+	6.62563i	−0.192229	+	0.332950i
$397$	0.125609	−	0.468779i	0.00630413	−	0.0235273i	−0.962702	−	0.270564i	$-0.912790\pi$
$397$	0.125609	−	0.468779i	0.00630413	−	0.0235273i	0.969006	+	0.247036i	$0.0794567\pi$
$398$	−3.81876	+	8.18936i	−0.191417	+	0.410496i
$399$	−16.2608	+	4.35706i	−0.814056	+	0.218126i
$400$	−4.93305	−	0.815465i	−0.246653	−	0.0407733i
$401$	7.89710	−	7.89710i	0.394362	−	0.394362i	−0.481877	−	0.876239i	$-0.660045\pi$
$401$	7.89710	−	7.89710i	0.394362	−	0.394362i	0.876239	+	0.481877i	$0.160045\pi$
$402$	1.08205	+	1.28953i	0.0539677	+	0.0643162i
$403$	4.79239	+	10.2773i	0.238726	+	0.511950i
$404$	5.55132	−	0.978847i	0.276188	−	0.0486994i
$405$	3.61579	+	2.50306i	0.179670	+	0.124378i
$406$		−	3.47357i		−	0.172390i
$407$	−0.350205	−	30.0828i	−0.0173590	−	1.49115i
$408$	−4.45332	−	4.45332i	−0.220472	−	0.220472i
$409$	−26.4313	+	18.5074i	−1.30695	+	0.915133i	−0.999338	−	0.0363807i	$-0.988417\pi$
$409$	−26.4313	+	18.5074i	−1.30695	+	0.915133i	−0.307607	+	0.951513i	$0.599528\pi$
$410$	−13.0459	−	3.42089i	−0.644292	−	0.168946i
$411$	−1.61352	+	4.43312i	−0.0795893	+	0.218670i
$412$	13.3538	−	11.2052i	0.657895	−	0.552039i
$413$		−	19.4386i		−	0.956511i
$414$	0.0420750	+	0.0501430i	0.00206787	+	0.00246439i
$415$	0.921604	−	5.39544i	0.0452398	−	0.264852i
$416$	−1.71897	+	0.625655i	−0.0842796	+	0.0306753i
$417$	−15.0687	−	4.03765i	−0.737918	−	0.197724i
$418$	−4.40162	−	16.4271i	−0.215290	−	0.803473i
$419$	15.6057	+	2.75171i	0.762389	+	0.134430i	0.541306	−	0.840825i	$-0.317930\pi$
$419$	15.6057	+	2.75171i	0.762389	+	0.134430i	0.221082	+	0.975255i	$0.429041\pi$
$420$	7.78237	+	7.69947i	0.379741	+	0.375696i
$421$	−25.1653	−	6.74302i	−1.22648	−	0.328635i	−0.413273	−	0.910607i	$-0.635615\pi$
$421$	−25.1653	−	6.74302i	−1.22648	−	0.328635i	−0.813209	+	0.581972i	$0.802281\pi$
$422$	−0.685290	+	0.816697i	−0.0333594	+	0.0397562i
$423$	1.41369	+	16.1586i	0.0687362	+	0.785658i
$424$	1.74240	−	3.73658i	0.0846182	−	0.181464i
$425$	16.5759	−	20.1896i	0.804052	−	0.979340i
$426$	−5.78811	+	8.26627i	−0.280435	+	0.400502i
$427$	18.0126	+	49.4893i	0.871693	+	2.39496i
$428$	−0.264698	+	0.0231580i	−0.0127946	+	0.00111939i
$429$	10.8650	−	0.950565i	0.524567	−	0.0458937i
$430$	0.696074	−	0.0646557i	0.0335676	−	0.00311797i
$431$	−10.6785	+	4.97949i	−0.514367	+	0.239854i	−0.662429	−	0.749125i	$-0.730474\pi$
$431$	−10.6785	+	4.97949i	−0.514367	+	0.239854i	0.148062	+	0.988978i	$0.452697\pi$
$432$	−4.48983	+	3.14382i	−0.216017	+	0.151257i
$433$	−39.5698	+	10.6027i	−1.90160	+	0.509533i	−0.905178	+	0.425033i	$0.860262\pi$
$433$	−39.5698	+	10.6027i	−1.90160	+	0.509533i	−0.996424	+	0.0844996i	$0.973071\pi$
$434$	12.5882	+	21.8035i	0.604255	+	1.04660i
$435$	0.188628	−	2.29765i	0.00904401	−	0.110164i
$436$	3.54576	+	13.2329i	0.169811	+	0.633743i
$437$	−0.144951	−	0.0126815i	−0.00693392	−	0.000606640i
$438$	−11.6365			−0.556015
$439$	−33.4276	−	2.92454i	−1.59541	−	0.139580i	−0.745500	−	0.666506i	$-0.767789\pi$
$439$	−33.4276	−	2.92454i	−1.59541	−	0.139580i	−0.849912	+	0.526925i	$0.823345\pi$
$440$	−7.77821	+	7.86195i	−0.370812	+	0.374804i
$441$	2.55039	+	14.4640i	0.121447	+	0.688762i
$442$	1.65958	−	9.41193i	0.0789380	−	0.447680i
$443$	18.9305	−	18.9305i	0.899413	−	0.899413i	−0.0959712	−	0.995384i	$-0.530596\pi$
$443$	18.9305	−	18.9305i	0.899413	−	0.899413i	0.995384	+	0.0959712i	$0.0305957\pi$
$444$	3.02131	−	6.68118i	0.143385	−	0.317075i
$445$	12.7087	−	4.70280i	0.602450	−	0.222934i
$446$	−8.79189	−	12.5561i	−0.416308	−	0.594550i
$447$	0.647256	−	0.924377i	0.0306141	−	0.0437215i
$448$	−3.68086	+	1.71642i	−0.173904	+	0.0810930i
$449$	−0.202538	+	2.31502i	−0.00955835	+	0.109252i	−0.999475	−	0.0323984i	$-0.989685\pi$
$449$	−0.202538	+	2.31502i	−0.00955835	+	0.109252i	0.989917	+	0.141651i	$0.0452410\pi$
$450$	−5.03465	−	5.87122i	−0.237336	−	0.276772i
$451$	−22.8524	+	19.1754i	−1.07608	+	0.902935i
$452$	5.11199	−	8.85422i	0.240448	−	0.416467i
$453$	−25.0557	−	11.6837i	−1.17722	−	0.548947i
$454$	1.84154	−	1.06322i	0.0864279	−	0.0498992i
$455$	−2.79714	+	16.3756i	−0.131132	+	0.767700i
$456$	0.719769	−	4.08201i	0.0337063	−	0.191158i
$457$	−17.3925	−	6.33035i	−0.813586	−	0.296121i	−0.0984819	−	0.995139i	$-0.531399\pi$
$457$	−17.3925	−	6.33035i	−0.813586	−	0.296121i	−0.715104	+	0.699018i	$0.753621\pi$
$458$	−4.46579	−	7.73498i	−0.208673	−	0.361432i
$459$	−2.49578	−	28.5268i	−0.116493	−	1.33152i
$460$	0.0404476	+	0.0855413i	0.00188588	+	0.00398839i
$461$	0.0978944	+	0.0456489i	0.00455940	+	0.00212608i	0.424897	−	0.905242i	$-0.360310\pi$
$461$	0.0978944	+	0.0456489i	0.00455940	+	0.00212608i	−0.420337	+	0.907368i	$0.638088\pi$
$462$	23.8467	−	4.20481i	1.10945	−	0.195626i
$463$	−5.17158	+	0.911889i	−0.240344	+	0.0423791i	−0.292522	−	0.956259i	$-0.594495\pi$
$463$	−5.17158	+	0.911889i	−0.240344	+	0.0423791i	0.0521787	+	0.998638i	$0.483383\pi$
$464$	0.775136	+	0.361452i	0.0359848	+	0.0167800i
$465$	7.14267	+	15.1058i	0.331233	+	0.700516i
$466$	−2.10755	−	24.0894i	−0.0976303	−	1.11592i
$467$	−15.0430	−	26.0553i	−0.696108	−	1.20569i	−0.969806	−	0.243879i	$-0.921580\pi$
$467$	−15.0430	−	26.0553i	−0.696108	−	1.20569i	0.273697	−	0.961816i	$-0.411753\pi$
$468$	−2.65900	−	0.967797i	−0.122912	−	0.0447364i
$469$	−0.984847	+	5.58534i	−0.0454760	+	0.257907i
$470$	−3.94792	+	23.1127i	−0.182104	+	1.06611i
$471$	14.2457	−	8.22479i	0.656409	−	0.378978i
$472$	4.33777	+	2.02274i	0.199662	+	0.0931040i
$473$	0.773131	−	1.33910i	0.0355486	−	0.0615720i
$474$	−12.5836	+	10.5589i	−0.577982	+	0.484985i
$475$	17.1421	+	1.31494i	0.786534	+	0.0603337i
$476$	1.84933	−	21.1379i	0.0847638	−	0.968855i
$477$	5.77994	−	2.69523i	0.264645	−	0.123406i
$478$	13.0670	−	18.6617i	0.597673	−	0.853565i
$479$	12.0373	+	17.1910i	0.549997	+	0.785477i	0.993863	−	0.110616i	$-0.0352823\pi$
$479$	12.0373	+	17.1910i	0.549997	+	0.785477i	−0.443866	+	0.896093i	$0.646393\pi$
$480$	−2.52797	+	0.935464i	−0.115386	+	0.0426979i
$481$	10.9349	−	2.05964i	0.498587	−	0.0939114i
$482$	18.0503	−	18.0503i	0.822168	−	0.822168i
$483$	0.0359755	−	0.204027i	0.00163694	−	0.00928355i
$484$	2.33768	+	13.2577i	0.106258	+	0.602621i
$485$	−6.12497	+	6.19091i	−0.278121	+	0.281115i
$486$	−14.0189	−	1.22649i	−0.635910	−	0.0556349i
$487$	−28.2808			−1.28152			−0.640762	−	0.767739i	$-0.721382\pi$
$487$	−28.2808			−1.28152			−0.640762	+	0.767739i	$0.721382\pi$
$488$	−12.9180	−	1.13018i	−0.584771	−	0.0511609i
$489$	1.97822	+	7.38283i	0.0894584	+	0.333863i
$490$	−1.73715	+	21.1599i	−0.0784763	+	0.955908i
$491$	8.48733	+	14.7005i	0.383028	+	0.663423i	0.991493	−	0.130157i	$-0.0415481\pi$
$491$	8.48733	+	14.7005i	0.383028	+	0.663423i	−0.608466	+	0.793580i	$0.708215\pi$
$492$	−7.02309	+	1.88183i	−0.316625	+	0.0848395i
$493$	−3.66025	+	2.56293i	−0.164849	+	0.115429i
$494$	5.70069	−	2.65828i	0.256486	−	0.119601i
$495$	−17.0340	+	1.58222i	−0.765620	+	0.0711156i
$496$	−6.17540	+	0.540277i	−0.277284	+	0.0242592i
$497$	−33.8695	+	2.96320i	−1.51925	+	0.132918i
$498$	−1.00924	−	2.77286i	−0.0452250	−	0.124255i
$499$	10.7381	−	15.3357i	0.480705	−	0.686518i	−0.503410	−	0.864047i	$-0.667922\pi$
$499$	10.7381	−	15.3357i	0.480705	−	0.686518i	0.984115	+	0.177529i	$0.0568105\pi$
$500$	−4.88715	−	10.0556i	−0.218560	−	0.449702i
$501$	−1.98422	+	4.25517i	−0.0886484	+	0.190107i
$502$	1.76368	+	20.1590i	0.0787170	+	0.899739i
$503$	−14.8316	+	17.6756i	−0.661307	+	0.788115i	−0.987573	−	0.157163i	$-0.949765\pi$
$503$	−14.8316	+	17.6756i	−0.661307	+	0.788115i	0.326265	+	0.945278i	$0.394210\pi$
$504$	−6.06830	−	1.62600i	−0.270303	−	0.0724276i
$505$	8.96040	+	8.86496i	0.398732	+	0.394485i
$506$	0.206113	+	0.0363434i	0.00916286	+	0.00161566i
$507$	−3.01192	−	11.2407i	−0.133764	−	0.499215i
$508$	−14.7583	−	3.95447i	−0.654793	−	0.175451i
$509$	−27.0648	+	9.85077i	−1.19962	+	0.436628i	−0.863093	−	0.505044i	$-0.831476\pi$
$509$	−27.0648	+	9.85077i	−1.19962	+	0.436628i	−0.336532	+	0.941672i	$0.609254\pi$
$510$	2.37113	−	13.8816i	0.104996	−	0.614686i
$511$	−25.2006	−	30.0329i	−1.11481	−	1.32858i
$512$		−	1.00000i		−	0.0441942i
$513$	14.4374	−	12.1144i	0.637425	−	0.534863i
$514$	−8.75846	+	24.0637i	−0.386319	+	1.06140i
$515$	37.7048	+	9.88690i	1.66147	+	0.435669i
$516$	0.308713	−	0.216163i	0.0135903	−	0.00951605i
$517$	36.6727	+	36.6727i	1.61286	+	1.61286i
$518$	23.7866	−	6.67132i	1.04512	−	0.293121i
$519$		−	10.7734i		−	0.472900i
$520$	−3.36319	−	2.32820i	−0.147486	−	0.102098i
$521$	−16.6294	+	2.93220i	−0.728545	+	0.128462i	−0.525605	−	0.850729i	$-0.676161\pi$
$521$	−16.6294	+	2.93220i	−0.728545	+	0.128462i	−0.202941	+	0.979191i	$0.565050\pi$
$522$	0.559113	+	1.19902i	0.0244717	+	0.0524797i
$523$	15.6926	+	18.7017i	0.686188	+	0.817766i	0.990889	−	0.134681i	$-0.0430011\pi$
$523$	15.6926	+	18.7017i	0.686188	+	0.817766i	−0.304701	+	0.952448i	$0.598557\pi$
$524$	−15.8018	+	15.8018i	−0.690305	+	0.690305i
$525$	−3.99240	+	24.1515i	−0.174243	+	1.05406i
$526$	−2.91249	+	0.780400i	−0.126991	+	0.0340271i
$527$	13.6871	−	29.3522i	0.596221	−	1.27860i
$528$	−1.54312	+	5.75899i	−0.0671555	+	0.250628i
$529$	−11.4991	+	19.9170i	−0.499961	+	0.865958i
$530$	9.07024	−	1.64945i	0.393986	−	0.0716474i
$531$	3.12888	+	6.70990i	0.135782	+	0.291185i
$532$	12.0941	−	6.98252i	0.524345	−	0.302731i
$533$	−8.45215	−	7.09220i	−0.366103	−	0.307197i
$534$	4.69576	−	5.59619i	0.203206	−	0.242171i
$535$	−0.384339	−	0.453088i	−0.0166164	−	0.0195887i
$536$	−1.14390	−	0.800969i	−0.0494090	−	0.0345966i
$537$	0.219633	+	1.24560i	0.00947787	+	0.0537517i
$538$	8.82696	−	3.21275i	0.380557	−	0.138512i
$539$	35.9740	+	30.1858i	1.54951	+	1.30019i
$540$	−11.5392	−	4.13010i	−0.496568	−	0.177731i
$541$	1.20287	−	4.48917i	0.0517153	−	0.193004i	−0.935235	−	0.354026i	$-0.884812\pi$
$541$	1.20287	−	4.48917i	0.0517153	−	0.193004i	0.986951	+	0.161022i	$0.0514790\pi$
$542$	2.01147	−	5.52648i	0.0864002	−	0.237383i
$543$	13.3907	+	19.1240i	0.574651	+	0.820687i
$544$	4.52454	+	2.61224i	0.193988	+	0.111999i
$545$	−19.5650	+	23.5718i	−0.838071	+	1.00970i
$546$	3.06312	+	8.41585i	0.131089	+	0.360165i
$547$	3.87168	+	2.23532i	0.165541	+	0.0955752i	0.580482	−	0.814273i	$-0.302864\pi$
$547$	3.87168	+	2.23532i	0.165541	+	0.0955752i	−0.414941	+	0.909849i	$0.636198\pi$
$548$	0.341087	−	3.89864i	0.0145705	−	0.166542i
$549$	−14.1836	−	14.1836i	−0.605340	−	0.605340i
$550$	−24.3985	−	4.03323i	−1.04036	−	0.171977i
$551$	−2.76348	−	1.00582i	−0.117728	−	0.0428496i
$552$	0.0417856	+	0.0292586i	0.00177851	+	0.00124533i
$553$	−54.5030	−	9.61035i	−2.31770	−	0.408674i
$554$	6.12487			0.260221
$555$	16.0963	−	3.12115i	0.683250	−	0.132485i
$556$	12.9413			0.548833
$557$	11.8881	+	2.09619i	0.503714	+	0.0888184i	0.419730	−	0.907649i	$-0.362125\pi$
$557$	11.8881	+	2.09619i	0.503714	+	0.0888184i	0.0839835	+	0.996467i	$0.473236\pi$
$558$	−7.85479	−	5.49998i	−0.332520	−	0.232833i
$559$	0.537409	+	0.195601i	0.0227300	+	0.00827303i
$560$	−7.88903	−	4.49859i	−0.333373	−	0.190100i
$561$	−22.0258	−	22.0258i	−0.929929	−	0.929929i
$562$	−1.83463	+	20.9700i	−0.0773894	+	0.884565i
$563$	8.54038	+	4.93079i	0.359934	+	0.207808i	0.669052	−	0.743216i	$-0.266700\pi$
$563$	8.54038	+	4.93079i	0.359934	+	0.207808i	−0.309118	+	0.951024i	$0.600034\pi$
$564$	4.32331	+	11.8782i	0.182044	+	0.500163i
$565$	22.7635	−	2.11442i	0.957668	−	0.0889542i
$566$	1.46860	+	0.847894i	0.0617297	+	0.0356396i
$567$	4.58142	+	6.54295i	0.192402	+	0.274778i
$568$	2.86314	−	7.86641i	0.120135	−	0.330067i
$569$	2.49849	−	9.32451i	0.104742	−	0.390904i	−0.893573	−	0.448917i	$-0.851810\pi$
$569$	2.49849	−	9.32451i	0.104742	−	0.390904i	0.998316	+	0.0580133i	$0.0184766\pi$
$570$	8.37900	−	3.96194i	0.350958	−	0.165948i
$571$	−19.0305	−	15.9684i	−0.796400	−	0.668259i	0.150921	−	0.988546i	$-0.451776\pi$
$571$	−19.0305	−	15.9684i	−0.796400	−	0.668259i	−0.947320	+	0.320287i	$0.896221\pi$
$572$	−8.50191	+	3.09444i	−0.355483	+	0.129385i
$573$	2.89240	+	16.4036i	0.120832	+	0.685272i
$574$	−20.0664	−	14.0506i	−0.837553	−	0.586461i
$575$	−0.103823	+	0.184357i	−0.00432970	+	0.00768822i
$576$	0.994298	−	1.18496i	0.0414291	−	0.0493733i
$577$	−16.2778	−	13.6587i	−0.677652	−	0.568618i	0.237667	−	0.971347i	$-0.423617\pi$
$577$	−16.2778	−	13.6587i	−0.677652	−	0.568618i	−0.915319	+	0.402729i	$0.868062\pi$
$578$	−8.91598	+	5.14765i	−0.370856	+	0.214114i
$579$	7.73061	+	16.5784i	0.321273	+	0.688973i
$580$	0.342170	+	1.88158i	0.0142078	+	0.0781282i
$581$	4.97085	−	8.60977i	0.206226	−	0.357193i
$582$	−1.21513	+	4.53493i	−0.0503687	+	0.187979i
$583$	8.61776	−	18.4808i	0.356911	−	0.765398i
$584$	9.32422	−	2.49842i	0.385839	−	0.103385i
$585$	−1.67032	−	6.10283i	−0.0690593	−	0.252321i
$586$	15.8596	−	15.8596i	0.655156	−	0.655156i
$587$	14.9391	+	17.8038i	0.616605	+	0.734841i	0.980483	−	0.196606i	$-0.0629920\pi$
$587$	14.9391	+	17.8038i	0.616605	+	0.734841i	−0.363878	+	0.931447i	$0.618548\pi$
$588$	4.83716	+	10.3733i	0.199481	+	0.427789i
$589$	20.9914	−	3.70134i	0.864934	−	0.152511i
$590$	1.91483	+	10.5296i	0.0788325	+	0.433496i
$591$		−	31.0914i		−	1.27893i
$592$	−0.986458	+	6.00224i	−0.0405432	+	0.246691i
$593$	−11.5969	−	11.5969i	−0.476229	−	0.476229i	0.427695	−	0.903923i	$-0.359326\pi$
$593$	−11.5969	−	11.5969i	−0.476229	−	0.476229i	−0.903923	+	0.427695i	$0.859326\pi$
$594$	−22.2064	+	15.5491i	−0.911139	+	0.637986i
$595$	40.9622	−	23.9428i	1.67928	−	0.981561i
$596$	−0.320171	+	0.879662i	−0.0131147	+	0.0360323i
$597$	−8.34417	+	7.00159i	−0.341504	+	0.286556i
$598$			0.0774089i			0.00316548i
$599$	22.5201	+	26.8384i	0.920145	+	1.09659i	0.995048	+	0.0993957i	$0.0316910\pi$
$599$	22.5201	+	26.8384i	0.920145	+	1.09659i	−0.0749026	+	0.997191i	$0.523865\pi$
$600$	−4.97403	−	3.40407i	−0.203064	−	0.138970i
$601$	10.6048	−	3.85982i	0.432578	−	0.157445i	−0.116548	−	0.993185i	$-0.537183\pi$
$601$	10.6048	−	3.85982i	0.432578	−	0.157445i	0.549126	+	0.835740i	$0.314961\pi$
$602$	1.22646	+	0.328629i	0.0499868	+	0.0133939i
$603$	−0.559074	−	2.08649i	−0.0227673	−	0.0849686i
$604$	22.5854	+	3.98242i	0.918988	+	0.162042i
$605$	−21.1713	+	21.3992i	−0.860736	+	0.870002i
$606$	6.56361	+	1.75871i	0.266629	+	0.0714429i
$607$	23.4838	−	27.9869i	0.953179	−	1.13595i	−0.0374395	−	0.999299i	$-0.511920\pi$
$607$	23.4838	−	27.9869i	0.953179	−	1.13595i	0.990619	−	0.136656i	$-0.0436354\pi$
$608$	0.299685	+	3.42541i	0.0121538	+	0.138919i
$609$	1.76962	−	3.79495i	0.0717085	−	0.153779i
$610$	−14.6322	−	25.0332i	−0.592440	−	1.01357i
$611$	−11.0023	+	15.7130i	−0.445107	+	0.635679i
$612$	2.76404	+	7.59414i	0.111730	+	0.306975i
$613$	−38.6070	+	3.37767i	−1.55932	+	0.136423i	−0.833913	−	0.551896i	$-0.813905\pi$
$613$	−38.6070	+	3.37767i	−1.55932	+	0.136423i	−0.725408	+	0.688319i	$0.758349\pi$
$614$	−9.78854	+	0.856387i	−0.395034	+	0.0345610i
$615$	−12.5102	−	10.3837i	−0.504460	−	0.418710i
$616$	−18.2053	+	8.48926i	−0.733512	+	0.342042i
$617$	0.501675	−	0.351277i	0.0201967	−	0.0141419i	−0.563435	−	0.826161i	$-0.690520\pi$
$617$	0.501675	−	0.351277i	0.0201967	−	0.0141419i	0.583631	+	0.812019i	$0.301631\pi$
$618$	20.2978	−	5.43879i	0.816498	−	0.218780i
$619$	−15.3167	−	26.5293i	−0.615629	−	1.06630i	−0.990274	−	0.139132i	$-0.955569\pi$
$619$	−15.3167	−	26.5293i	−0.615629	−	1.06630i	0.374645	−	0.927168i	$-0.377765\pi$
$620$	−8.96663	−	10.5706i	−0.360109	−	0.424524i
$621$	0.0600301	+	0.224035i	0.00240893	+	0.00899023i
$622$	9.44835	+	0.826624i	0.378844	+	0.0331446i
$623$	24.6126			0.986084
$624$	−2.19676	−	0.192191i	−0.0879407	−	0.00769382i
$625$	12.0335	−	21.9134i	0.481340	−	0.876534i
$626$	5.16904	+	29.3151i	0.206596	+	1.17167i
$627$	3.55993	−	20.1893i	0.142170	−	0.806285i
$628$	−9.64906	+	9.64906i	−0.385039	+	0.385039i
$629$	−24.5805	−	20.1426i	−0.980089	−	0.803138i
$630$	−4.87524	−	13.1747i	−0.194234	−	0.524892i
$631$	7.59853	+	10.8518i	0.302493	+	0.432004i	0.941407	−	0.337274i	$-0.109505\pi$
$631$	7.59853	+	10.8518i	0.302493	+	0.432004i	−0.638914	+	0.769278i	$0.720616\pi$
$632$	7.81603	−	11.1624i	0.310905	−	0.444018i
$633$	−1.16476	+	0.543138i	−0.0462952	+	0.0215878i
$634$	1.85624	−	21.2170i	0.0737209	−	0.842634i
$635$	−11.8567	−	32.0413i	−0.470520	−	1.27152i
$636$	3.80721	−	3.19463i	0.150966	−	0.126675i
$637$	−8.68442	+	15.0419i	−0.344089	+	0.595980i
$638$	3.83376	+	1.78771i	0.151780	+	0.0707762i
$639$	11.2142	−	6.47455i	0.443629	−	0.256129i
$640$	1.82479	−	1.29234i	0.0721310	−	0.0510844i
$641$	−2.14756	+	12.1794i	−0.0848237	+	0.481059i	0.912571	+	0.408919i	$0.134094\pi$
$641$	−2.14756	+	12.1794i	−0.0848237	+	0.481059i	−0.997394	+	0.0721403i	$0.977017\pi$
$642$	−0.300986	−	0.109550i	−0.0118790	−	0.00432359i
$643$	−6.60059	−	11.4326i	−0.260302	−	0.450856i	0.706020	−	0.708192i	$-0.250489\pi$
$643$	−6.60059	−	11.4326i	−0.260302	−	0.450856i	−0.966322	+	0.257336i	$0.917155\pi$
$644$	0.0149788	+	0.171209i	0.000590248	+	0.00674656i
$645$	0.793415	+	0.283978i	0.0312407	+	0.0111816i
$646$	−16.2813	−	7.59207i	−0.640577	−	0.298706i
$647$	−14.4393	+	2.54604i	−0.567667	+	0.100095i	−0.450113	−	0.892971i	$-0.648616\pi$
$647$	−14.4393	+	2.54604i	−0.567667	+	0.100095i	−0.117554	+	0.993067i	$0.537505\pi$
$648$	−1.93681	+	0.341512i	−0.0760850	+	0.0134158i
$649$	21.4543	+	10.0043i	0.842155	+	0.392703i
$650$	−0.0979393	−	9.14594i	−0.00384149	−	0.358733i
$651$	2.64512	+	30.2339i	0.103670	+	1.18496i
$652$	−3.17026	−	5.49105i	−0.124157	−	0.215046i
$653$	8.47652	+	3.08520i	0.331712	+	0.120733i	0.502507	−	0.864573i	$-0.332411\pi$
$653$	8.47652	+	3.08520i	0.331712	+	0.120733i	−0.170795	+	0.985307i	$0.554633\pi$
$654$	−2.86773	+	16.2637i	−0.112137	+	0.635961i
$655$	−49.2563	−	8.41355i	−1.92460	−	0.328745i
$656$	5.22349	−	3.01578i	0.203943	−	0.117746i
$657$	13.5330	+	6.31054i	0.527972	+	0.246197i
$658$	−21.2939	+	36.8821i	−0.830121	+	1.43781i
$659$	−3.17219	+	2.66179i	−0.123571	+	0.103688i	−0.702479	−	0.711704i	$-0.747924\pi$
$659$	−3.17219	+	2.66179i	−0.123571	+	0.103688i	0.578908	+	0.815393i	$0.303479\pi$
$660$	−12.5032	+	4.62674i	−0.486685	+	0.180095i
$661$	1.21096	−	13.8413i	0.0471008	−	0.538365i	−0.935587	−	0.353096i	$-0.885129\pi$
$661$	1.21096	−	13.8413i	0.0471008	−	0.538365i	0.982688	−	0.185269i	$-0.0593155\pi$
$662$	−13.0994	+	6.10835i	−0.509122	+	0.237408i
$663$	6.60805	−	9.43727i	0.256635	−	0.366513i
$664$	1.40404	+	2.00517i	0.0544871	+	0.0778157i
$665$	28.3713	+	13.0453i	1.10019	+	0.505875i
$666$	−7.13693	+	6.13157i	−0.276550	+	0.237594i
$667$	0.0255914	−	0.0255914i	0.000990904	−	0.000990904i
$668$	0.676327	−	3.83564i	0.0261679	−	0.148406i
$669$	−3.20860	−	18.1969i	−0.124052	−	0.703532i
$670$	−0.0167182	−	3.12250i	−0.000645880	−	0.120633i
$671$	−63.8916	−	5.58979i	−2.46651	−	0.215791i
$672$	−4.89586			−0.188862
$673$	42.6701	+	3.73315i	1.64481	+	0.143902i	0.871591	−	0.490235i	$-0.163089\pi$
$673$	42.6701	+	3.73315i	1.64481	+	0.143902i	0.773221	+	0.634137i	$0.218644\pi$
$674$	2.80608	+	10.4724i	0.108086	+	0.403384i
$675$	−7.37608	−	26.3941i	−0.283905	−	1.01591i
$676$	4.82684	+	8.36034i	0.185648	+	0.321551i
$677$	−37.7947	+	10.1271i	−1.45257	+	0.389215i	−0.896916	−	0.442200i	$-0.854198\pi$
$677$	−37.7947	+	10.1271i	−1.45257	+	0.389215i	−0.555652	+	0.831415i	$0.687531\pi$
$678$	10.0958	−	7.06913i	0.387725	−	0.271488i
$679$	−14.3358	+	6.68488i	−0.550157	+	0.256542i
$680$	1.08048	+	11.6322i	0.0414343	+	0.446076i
$681$	2.55358	−	0.223410i	0.0978536	−	0.00856108i
$682$	−30.5431	+	2.67217i	−1.16955	+	0.102323i
$683$	−1.34821	−	3.70418i	−0.0515879	−	0.141737i	0.911223	−	0.411914i	$-0.135140\pi$
$683$	−1.34821	−	3.70418i	−0.0515879	−	0.141737i	−0.962810	+	0.270178i	$0.912918\pi$
$684$	−3.05076	+	4.35694i	−0.116649	+	0.166592i
$685$	7.55499	−	4.41598i	0.288661	−	0.168726i
$686$	−4.28218	+	9.18317i	−0.163494	+	0.350615i
$687$	−0.938381	−	10.7257i	−0.0358015	−	0.409213i
$688$	−0.200957	+	0.239491i	−0.00766141	+	0.00913052i
$689$	7.28494	+	1.95199i	0.277534	+	0.0743650i
$690$	0.000610698		0.114062i	2.32489e−5		0.00434226i
$691$	47.4418	+	8.36528i	1.80477	+	0.318230i	0.971928	−	0.235277i	$-0.0755997\pi$
$691$	47.4418	+	8.36528i	1.80477	+	0.318230i	0.832845	+	0.553507i	$0.186711\pi$
$692$	2.31310	+	8.63260i	0.0879308	+	0.328162i
$693$	−30.0133	−	8.04205i	−1.14011	−	0.305492i
$694$	−25.7905	+	9.38697i	−0.978994	+	0.356325i
$695$	16.7246	+	23.6151i	0.634400	+	0.895771i
$696$	0.662711	+	0.789788i	0.0251200	+	0.0299369i
$697$			31.5118i			1.19360i
$698$	−23.7717	+	19.9469i	−0.899773	+	0.754999i
$699$	9.96984	−	27.3919i	0.377094	−	1.03606i
$700$	−1.98638	−	20.2095i	−0.0750781	−	0.763849i
$701$	30.8972	−	21.6345i	1.16697	−	0.817123i	0.180910	−	0.983500i	$-0.442096\pi$
$701$	30.8972	−	21.6345i	1.16697	−	0.817123i	0.986062	+	0.166377i	$0.0532068\pi$
$702$	−7.08980	−	7.08980i	−0.267587	−	0.267587i
$703$	1.58024	−	20.8558i	0.0596000	−	0.786590i
$704$		−	4.94593i		−	0.186407i
$705$	−16.0880	+	23.2399i	−0.605909	+	0.875264i
$706$	12.9424	−	2.28210i	0.487095	−	0.0858880i
$707$	9.67535	+	20.7489i	0.363879	+	0.780341i
$708$	3.70863	+	4.41977i	0.139379	+	0.166105i
$709$	5.11125	−	5.11125i	0.191957	−	0.191957i	−0.604584	−	0.796541i	$-0.706661\pi$
$709$	5.11125	−	5.11125i	0.191957	−	0.191957i	0.796541	+	0.604584i	$0.206661\pi$
$710$	18.0547	−	4.94149i	0.677580	−	0.185451i
$711$	20.3605	−	5.45557i	0.763577	−	0.204600i
$712$	−2.56113	+	5.49237i	−0.0959825	+	0.205835i
$713$	−0.0678929	+	0.253380i	−0.00254261	+	0.00948914i
$714$	12.7892	−	22.1515i	0.478623	−	0.828999i
$715$	−16.6341	−	11.5151i	−0.622080	−	0.430640i
$716$	−0.443426	−	0.950931i	−0.0165716	−	0.0355379i
$717$	23.7833	−	13.7313i	0.888203	−	0.512804i
$718$	−17.1741	−	14.4108i	−0.640932	−	0.537806i
$719$	−16.3782	+	19.5188i	−0.610803	+	0.727927i	−0.979460	−	0.201639i	$-0.935373\pi$
$719$	−16.3782	+	19.5188i	−0.610803	+	0.727927i	0.368657	+	0.929566i	$0.379818\pi$
$720$	3.44727	+	0.283008i	0.128472	+	0.0105471i
$721$	57.9949	+	40.6084i	2.15984	+	1.51234i
$722$	1.24623	+	7.06772i	0.0463799	+	0.263033i
$723$	28.9161	−	10.5246i	1.07540	−	0.391414i
$724$	−14.8358	−	12.4488i	−0.551370	−	0.462654i
$725$	−2.99128	+	3.05603i	−0.111093	+	0.113498i
$726$	−4.20016	+	15.6752i	−0.155883	+	0.581762i
$727$	6.06360	−	16.6596i	0.224887	−	0.617871i	−0.775014	−	0.631943i	$-0.782257\pi$
$727$	6.06360	−	16.6596i	0.224887	−	0.617871i	0.999901	+	0.0140729i	$0.00447969\pi$
$728$	−4.26137	−	6.08586i	−0.157937	−	0.225557i
$729$	−19.8007	−	11.4320i	−0.733360	−	0.423406i
$730$	16.6092	+	13.7859i	0.614734	+	0.510239i
$731$	−0.558639	−	1.53485i	−0.0206620	−	0.0567684i
$732$	−13.5375	−	7.81585i	−0.500359	−	0.288882i
$733$	−2.73059	+	31.2108i	−0.100857	+	1.15280i	0.762080	+	0.647483i	$0.224179\pi$
$733$	−2.73059	+	31.2108i	−0.100857	+	1.15280i	−0.862936	+	0.505313i	$0.831377\pi$
$734$	25.0842	+	25.0842i	0.925875	+	0.925875i
$735$	−12.6778	+	22.2327i	−0.467629	+	0.820066i
$736$	−0.0397643	−	0.0144730i	−0.00146573	−	0.000533482i
$737$	−5.65765	−	3.96153i	−0.208402	−	0.145925i
$738$	9.18820	+	1.62013i	0.338222	+	0.0596377i
$739$	29.8649			1.09860			0.549299	−	0.835626i	$-0.314895\pi$
$739$	29.8649			1.09860			0.549299	+	0.835626i	$0.314895\pi$
$740$	−12.2277	+	5.95689i	−0.449497	+	0.218980i
$741$	7.58240			0.278546
$742$	16.4901	+	2.90766i	0.605372	+	0.106743i
$743$	43.7566	+	30.6387i	1.60527	+	1.12402i	0.917233	+	0.398352i	$0.130418\pi$
$743$	43.7566	+	30.6387i	1.60527	+	1.12402i	0.688040	+	0.725672i	$0.258471\pi$
$744$	−7.02201	−	2.55580i	−0.257439	−	0.0937003i
$745$	−2.01897	+	0.552583i	−0.0739692	+	0.0202451i
$746$	12.5607	+	12.5607i	0.459881	+	0.459881i
$747$	−0.330014	+	3.77207i	−0.0120746	+	0.138013i
$748$	22.3780	+	12.9200i	0.818222	+	0.472401i
$749$	−0.369089	−	1.01406i	−0.0134862	−	0.0370531i
$750$	−0.216468	−	13.4758i	−0.00790430	−	0.492066i
$751$	−16.9513	−	9.78683i	−0.618562	−	0.357127i	0.157747	−	0.987480i	$-0.449577\pi$
$751$	−16.9513	−	9.78683i	−0.618562	−	0.357127i	−0.776309	+	0.630353i	$0.782910\pi$
$752$	−6.01453	−	8.58964i	−0.219327	−	0.313232i
$753$	−8.34317	+	22.9227i	−0.304042	+	0.835348i
$754$	−0.404932	+	1.51123i	−0.0147467	+	0.0550356i
$755$	21.9211	+	46.3602i	0.797790	+	1.68722i
$756$	−17.0527	−	14.3089i	−0.620202	−	0.520411i
$757$	6.51204	−	2.37019i	0.236684	−	0.0861460i	−0.220955	−	0.975284i	$-0.570917\pi$
$757$	6.51204	−	2.37019i	0.236684	−	0.0861460i	0.457639	+	0.889138i	$0.348695\pi$
$758$	−1.00655	−	5.70844i	−0.0365596	−	0.207340i
$759$	0.206668	+	0.144711i	0.00750159	+	0.00525267i
$760$	−5.86335	+	4.97367i	−0.212686	+	0.180414i
$761$	−10.1189	+	12.0593i	−0.366811	+	0.437149i	−0.917605	−	0.397492i	$-0.869880\pi$
$761$	−10.1189	+	12.0593i	−0.366811	+	0.437149i	0.550794	+	0.834641i	$0.314325\pi$
$762$	−14.1092	−	11.8390i	−0.511121	−	0.428881i
$763$	−48.1856	+	27.8200i	−1.74444	+	1.00715i
$764$	−5.83959	−	12.5230i	−0.211269	−	0.453067i
$765$	−10.2856	+	14.8580i	−0.371876	+	0.537193i
$766$	17.2038	−	29.7978i	0.621598	−	1.07664i
$767$	−2.26606	+	8.45704i	−0.0818226	+	0.305366i
$768$	0.509452	−	1.09252i	0.0183833	−	0.0394230i
$769$	42.1751	−	11.3008i	1.52087	−	0.407516i	0.600843	−	0.799367i	$-0.294832\pi$
$769$	42.1751	−	11.3008i	1.52087	−	0.407516i	0.920029	+	0.391851i	$0.128165\pi$
$770$	−39.0186	−	22.2497i	−1.40613	−	0.801823i
$771$	−21.8281	+	21.8281i	−0.786120	+	0.786120i
$772$	−9.75390	−	11.6243i	−0.351051	−	0.418366i
$773$	−6.22322	−	13.3457i	−0.223834	−	0.480013i	0.762034	−	0.647536i	$-0.224201\pi$
$773$	−6.22322	−	13.3457i	−0.223834	−	0.480013i	−0.985868	+	0.167524i	$0.946423\pi$
$774$	−0.476251	+	0.0839759i	−0.0171185	+	0.00301845i
$775$	7.70104	−	30.0230i	0.276629	−	1.07846i
$776$		−	3.89468i		−	0.139811i
$777$	29.3861	+	4.82956i	1.05422	+	0.173259i
$778$	−5.07862	−	5.07862i	−0.182077	−	0.182077i
$779$	−16.9888	+	11.8957i	−0.608687	+	0.426207i
$780$	−2.48826	−	4.25699i	−0.0890940	−	0.152425i
$781$	14.1609	−	38.9067i	0.506716	−	1.39219i
$782$	0.169358	−	0.142108i	0.00605622	−	0.00508177i
$783$			4.68779i			0.167528i
$784$	−6.10317	−	7.27347i	−0.217970	−	0.259767i
$785$	−30.0774	−	5.13756i	−1.07351	−	0.183368i
$786$	−25.3141	+	9.21358i	−0.902924	+	0.328637i
$787$	−0.821995	−	0.220253i	−0.0293010	−	0.00785117i	0.244139	−	0.969740i	$-0.421495\pi$
$787$	−0.821995	−	0.220253i	−0.0293010	−	0.00785117i	−0.273440	+	0.961889i	$0.588161\pi$
$788$	6.67547	+	24.9132i	0.237804	+	0.887496i
$789$	−3.57954	−	0.631170i	−0.127435	−	0.0224702i
$790$	30.4701	−	0.163140i	1.08408	−	0.00580425i
$791$	40.1086	+	10.7471i	1.42610	+	0.382122i
$792$	4.91772	−	5.86071i	0.174744	−	0.208251i
$793$	−2.06743	−	23.6308i	−0.0734166	−	0.839156i
$794$	−0.205103	+	0.439845i	−0.00727884	+	0.0156095i
$795$	10.7498	+	2.81879i	0.381254	+	0.0999721i
$796$	5.18282	−	7.40183i	0.183700	−	0.262351i
$797$	5.31620	+	14.6062i	0.188310	+	0.517376i	0.997539	−	0.0701166i	$-0.0223372\pi$
$797$	5.31620	+	14.6062i	0.188310	+	0.517376i	−0.809229	+	0.587493i	$0.800115\pi$
$798$	16.7703	−	1.46721i	0.593663	−	0.0519388i
$799$	54.5756	−	4.77475i	1.93075	−	0.168918i
$800$	4.71651	+	1.65969i	0.166754	+	0.0586790i
$801$	−8.49589	+	3.96170i	−0.300187	+	0.139980i
$802$	−9.14844	+	6.40581i	−0.323043	+	0.226197i
$803$	46.1169	−	12.3570i	1.62743	−	0.436069i
$804$	−0.841684	−	1.45784i	−0.0296839	−	0.0514140i
$805$	−0.293061	+	0.248594i	−0.0103291	+	0.00876177i
$806$	−2.93495	−	10.9534i	−0.103379	−	0.385816i
$807$	11.2804	+	0.986907i	0.397089	+	0.0347408i
$808$	−5.63695			−0.198307
$809$	−43.7132	−	3.82441i	−1.53687	−	0.134459i	−0.712972	−	0.701192i	$-0.752652\pi$
$809$	−43.7132	−	3.82441i	−1.53687	−	0.134459i	−0.823901	+	0.566733i	$0.808207\pi$
$810$	−3.12621	−	3.09291i	−0.109844	−	0.108674i
$811$	2.88160	+	16.3423i	0.101187	+	0.573857i	0.992675	+	0.120814i	$0.0385505\pi$
$811$	2.88160	+	16.3423i	0.101187	+	0.573857i	−0.891489	+	0.453043i	$0.850338\pi$
$812$	−0.603179	+	3.42080i	−0.0211674	+	0.120047i
$813$	5.01305	−	5.01305i	0.175816	−	0.175816i
$814$	−4.87895	+	29.6866i	−0.171007	+	1.04052i
$815$	5.92292	−	12.8814i	0.207471	−	0.451214i
$816$	3.61235	+	5.15897i	0.126458	+	0.180600i
$817$	0.616588	−	0.880579i	0.0215717	−	0.0308076i
$818$	29.2436	−	13.6365i	1.02248	−	0.476789i
$819$	1.00162	−	11.4486i	0.0349994	−	0.400045i
$820$	12.2537	+	5.63432i	0.427918	+	0.196759i
$821$	19.5889	−	16.4370i	0.683656	−	0.573655i	−0.233416	−	0.972377i	$-0.574991\pi$
$821$	19.5889	−	16.4370i	0.683656	−	0.573655i	0.917072	+	0.398722i	$0.130546\pi$
$822$	2.35881	−	4.08559i	0.0822731	−	0.142501i
$823$	3.08125	+	1.43681i	0.107406	+	0.0500841i	0.475579	−	0.879673i	$-0.342239\pi$
$823$	3.08125	+	1.43681i	0.107406	+	0.0500841i	−0.368173	+	0.929757i	$0.620017\pi$
$824$	−15.0967	+	8.71607i	−0.525918	+	0.303639i
$825$	−24.6012	−	16.8363i	−0.856504	−	0.586163i
$826$	−3.37548	+	19.1433i	−0.117448	+	0.666080i
$827$	−25.2122	−	9.17649i	−0.876714	−	0.319098i	−0.135831	−	0.990732i	$-0.543370\pi$
$827$	−25.2122	−	9.17649i	−0.876714	−	0.319098i	−0.740883	+	0.671634i	$0.765593\pi$
$828$	−0.0327285	−	0.0566875i	−0.00113739	−	0.00197003i
$829$	−2.23299	−	25.5232i	−0.0775549	−	0.886456i	−0.930939	−	0.365174i	$-0.881009\pi$
$829$	−2.23299	−	25.5232i	−0.0775549	−	0.886456i	0.853384	−	0.521282i	$-0.174546\pi$
$830$	−1.84451	+	5.15344i	−0.0640239	+	0.178878i
$831$	6.69156	+	3.12033i	0.232128	+	0.108243i
$832$	1.80150	−	0.317653i	0.0624559	−	0.0110127i
$833$	48.8521	−	8.61394i	1.69262	−	0.298455i
$834$	14.1386	+	6.59296i	0.489581	+	0.228296i
$835$	7.87328	−	3.72282i	0.272466	−	0.128833i
$836$	1.48222	+	16.9418i	0.0512636	+	0.585945i
$837$	−16.9886	−	29.4250i	−0.587210	−	1.01708i
$838$	−14.8908	−	5.41981i	−0.514394	−	0.187224i
$839$	5.16585	−	29.2970i	0.178345	−	1.01145i	−0.755866	−	0.654726i	$-0.772784\pi$
$839$	5.16585	−	29.2970i	0.178345	−	1.01145i	0.934212	−	0.356719i	$-0.116105\pi$
$840$	−6.32713	−	8.93390i	−0.218307	−	0.308249i
$841$	−24.4813	+	14.1343i	−0.844181	+	0.487388i
$842$	23.6121	+	11.0105i	0.813726	+	0.379447i
$843$	−12.6876	+	21.9755i	−0.436983	+	0.756877i
$844$	0.816697	−	0.685290i	0.0281119	−	0.0235887i
$845$	−9.01789	+	19.6124i	−0.310225	+	0.674687i
$846$	1.41369	−	16.1586i	0.0486038	−	0.555544i
$847$	−49.5524	+	23.1067i	−1.70264	+	0.793955i
$848$	−2.36478	+	3.37725i	−0.0812067	+	0.115975i
$849$	1.17251	+	1.67452i	0.0402405	+	0.0574694i
$850$	−19.8300	+	17.0045i	−0.680164	+	0.583249i
$851$	0.224398	+	0.126096i	0.00769226	+	0.00432253i
$852$	7.13560	−	7.13560i	0.244461	−	0.244461i
$853$	5.15689	−	29.2462i	0.176569	−	1.00137i	−0.759749	−	0.650216i	$-0.774678\pi$
$853$	5.15689	−	29.2462i	0.176569	−	1.00137i	0.936318	−	0.351154i	$-0.114211\pi$
$854$	−9.14526	−	51.8653i	−0.312944	−	1.77480i
$855$	−11.8931	+	0.0636769i	−0.406736	+	0.00217770i
$856$	0.264698	+	0.0231580i	0.00904718	+	0.000791525i
$857$	24.4197			0.834161			0.417080	−	0.908870i	$-0.363053\pi$
$857$	24.4197			0.834161			0.417080	+	0.908870i	$0.363053\pi$
$858$	−10.8650	−	0.950565i	−0.370925	−	0.0324517i
$859$	3.86438	+	14.4221i	0.131851	+	0.492074i	0.999991	−	0.00424492i	$-0.00135120\pi$
$859$	3.86438	+	14.4221i	0.131851	+	0.492074i	−0.868140	+	0.496319i	$0.834685\pi$
$860$	−0.696726	−	0.0571985i	−0.0237582	−	0.00195045i
$861$	−14.7648	−	25.5734i	−0.503184	−	0.871541i
$862$	11.3810	−	3.04953i	0.387638	−	0.103867i
$863$	−3.39166	+	2.37487i	−0.115454	+	0.0808415i	−0.629877	−	0.776695i	$-0.716895\pi$
$863$	−3.39166	+	2.37487i	−0.115454	+	0.0808415i	0.514424	+	0.857536i	$0.328006\pi$
$864$	4.96754	−	2.31640i	0.168999	−	0.0788056i
$865$	−12.7633	+	15.3772i	−0.433966	+	0.522841i
$866$	40.8097	−	3.57039i	1.38677	−	0.121327i
$867$	−12.3634	+	1.08166i	−0.419883	+	0.0367350i
$868$	−8.61086	−	23.6581i	−0.292272	−	0.803010i
$869$	38.6575	−	55.2086i	1.31137	−	1.87282i
$870$	−0.584744	+	2.22999i	−0.0198247	+	0.0756036i
$871$	1.07958	−	2.31517i	0.0365803	−	0.0784466i
$872$	−1.19401	−	13.6476i	−0.0404344	−	0.462167i
$873$	3.87247	−	4.61503i	0.131063	−	0.156195i
$874$	0.140546	+	0.0376593i	0.00475405	+	0.00127384i
$875$	34.3110	−	29.7424i	1.15992	−	1.00548i
$876$	11.4597	+	2.02066i	0.387189	+	0.0682719i
$877$	−1.44408	−	5.38937i	−0.0487630	−	0.181986i	0.937249	−	0.348661i	$-0.113364\pi$
$877$	−1.44408	−	5.38937i	−0.0487630	−	0.181986i	−0.986012	+	0.166675i	$0.946697\pi$
$878$	32.4119	+	8.68474i	1.09385	+	0.293096i
$879$	25.4067	−	9.24729i	0.856948	−	0.311904i
$880$	9.02526	−	6.39184i	0.304241	−	0.215469i
$881$	30.4358	+	36.2720i	1.02541	+	1.22203i	0.974745	+	0.223319i	$0.0716891\pi$
$881$	30.4358	+	36.2720i	1.02541	+	1.22203i	0.0506634	+	0.998716i	$0.483866\pi$
$882$		−	14.6871i		−	0.494541i
$883$	9.38655	−	7.87625i	0.315882	−	0.265057i	−0.471036	−	0.882114i	$-0.656120\pi$
$883$	9.38655	−	7.87625i	0.315882	−	0.265057i	0.786918	+	0.617057i	$0.211675\pi$
$884$	−3.26873	+	8.98076i	−0.109939	+	0.302056i
$885$	−3.27231	+	12.4793i	−0.109998	+	0.419488i
$886$	−21.9301	+	15.3556i	−0.736756	+	0.515882i
$887$	0.328437	+	0.328437i	0.0110278	+	0.0110278i	0.712599	−	0.701571i	$-0.247518\pi$
$887$	0.328437	+	0.328437i	0.0110278	+	0.0110278i	−0.701571	+	0.712599i	$0.747518\pi$
$888$	−4.13558	+	6.05503i	−0.138781	+	0.203194i
$889$		−	62.0535i		−	2.08121i
$890$	−13.3323	+	2.42451i	−0.446899	+	0.0812697i
$891$	−9.57931	+	1.68909i	−0.320919	+	0.0565867i
$892$	6.47797	+	13.8921i	0.216899	+	0.465141i
$893$	23.1764	+	27.6206i	0.775569	+	0.924287i
$894$	−0.797939	+	0.797939i	−0.0266871	+	0.0266871i
$895$	1.16219	−	2.03809i	0.0388476	−	0.0681258i
$896$	3.92300	−	1.05116i	0.131058	−	0.0351169i
$897$	−0.0394361	+	0.0845709i	−0.00131673	+	0.00282374i
$898$	0.601460	−	2.24468i	0.0200710	−	0.0749059i
$899$	−2.65090	+	4.59149i	−0.0884124	+	0.153135i
$900$	3.93863	+	6.65628i	0.131288	+	0.221876i
$901$	−9.10313	−	19.5217i	−0.303269	−	0.650363i
$902$	25.8350	−	14.9158i	0.860210	−	0.496643i
$903$	1.17252	+	0.983857i	0.0390189	+	0.0327407i
$904$	−6.57184	+	7.83202i	−0.218576	+	0.260489i
$905$	3.54330	−	43.1603i	0.117783	−	1.43470i
$906$	22.6462	+	15.8571i	0.752371	+	0.526816i
$907$	2.69325	+	15.2742i	0.0894278	+	0.507170i	0.996313	+	0.0857927i	$0.0273423\pi$
$907$	2.69325	+	15.2742i	0.0894278	+	0.507170i	−0.906885	+	0.421378i	$0.861547\pi$
$908$	−1.99819	+	0.727282i	−0.0663123	+	0.0241357i
$909$	−6.67955	−	5.60481i	−0.221547	−	0.185900i
$910$	5.59824	−	15.6411i	0.185580	−	0.518498i
$911$	5.33634	−	19.9155i	0.176801	−	0.659830i	−0.819437	−	0.573169i	$-0.805714\pi$
$911$	5.33634	−	19.9155i	0.176801	−	0.659830i	0.996238	−	0.0866606i	$-0.0276196\pi$
$912$	−1.41767	+	3.89501i	−0.0469437	+	0.128977i
$913$	6.94425	+	9.91742i	0.229821	+	0.328219i
$914$	16.0290	+	9.25435i	0.530192	+	0.306107i
$915$	−3.23279	−	34.8037i	−0.106873	−	1.15058i
$916$	3.05478	+	8.39294i	0.100933	+	0.277311i
$917$	−78.6007	−	45.3802i	−2.59562	−	1.49858i
$918$	−2.49578	+	28.5268i	−0.0823729	+	0.941526i
$919$	25.9159	+	25.9159i	0.854886	+	0.854886i	0.990730	−	0.135844i	$-0.0433747\pi$
$919$	25.9159	+	25.9159i	0.854886	+	0.854886i	−0.135844	+	0.990730i	$0.543375\pi$
$920$	−0.0249790	−	0.0912654i	−0.000823532	−	0.00300893i
$921$	−11.1305	−	4.05117i	−0.366762	−	0.133491i
$922$	−0.0884803	−	0.0619546i	−0.00291394	−	0.00204037i
$923$	15.0808	+	2.65916i	0.496392	+	0.0875272i
$924$	−24.2145			−0.796600
$925$	−26.6724	−	14.6145i	−0.876983	−	0.480522i
$926$	5.25136			0.172570
$927$	−26.5553	−	4.68242i	−0.872191	−	0.153791i
$928$	−0.700594	−	0.490561i	−0.0229981	−	0.0161035i
$929$	−17.8188	−	6.48552i	−0.584617	−	0.212783i	0.0327435	−	0.999464i	$-0.489576\pi$
$929$	−17.8188	−	6.48552i	−0.584617	−	0.212783i	−0.617360	+	0.786681i	$0.711798\pi$
$930$	−4.41106	−	16.1166i	−0.144644	−	0.528486i
$931$	23.0856	+	23.0856i	0.756600	+	0.756600i
$932$	−2.10755	+	24.0894i	−0.0690351	+	0.789074i
$933$	9.90141	+	5.71658i	0.324158	+	0.187153i
$934$	10.2900	+	28.2716i	0.336700	+	0.925076i
$935$	5.34395	+	57.5322i	0.174766	+	1.88150i
$936$	2.45055	+	1.41482i	0.0800986	+	0.0462450i
$937$	14.4245	+	20.6003i	0.471227	+	0.672982i	0.982463	−	0.186458i	$-0.0597010\pi$
$937$	14.4245	+	20.6003i	0.471227	+	0.672982i	−0.511236	+	0.859441i	$0.670812\pi$
$938$	1.93977	−	5.32947i	0.0633357	−	0.174013i
$939$	−9.28732	+	34.6608i	−0.303080	+	1.13111i
$940$	7.90141	−	22.0760i	0.257716	−	0.720040i
$941$	11.4131	+	9.57674i	0.372057	+	0.312193i	0.809575	−	0.587017i	$-0.199698\pi$
$941$	11.4131	+	9.57674i	0.372057	+	0.312193i	−0.437518	+	0.899210i	$0.644142\pi$
$942$	−15.4575	+	5.62608i	−0.503634	+	0.183308i
$943$	−0.0443208	−	0.251356i	−0.00144328	−	0.00818526i
$944$	−3.92063	−	2.74525i	−0.127606	−	0.0893504i
$945$	4.07276	−	49.6096i	0.132487	−	1.61380i
$946$	−0.993918	+	1.18451i	−0.0323151	+	0.0385116i
$947$	15.2131	+	12.7653i	0.494359	+	0.414816i	0.855585	−	0.517662i	$-0.173197\pi$
$947$	15.2131	+	12.7653i	0.494359	+	0.414816i	−0.361226	+	0.932478i	$0.617642\pi$
$948$	14.2259	−	8.21334i	0.462036	−	0.266757i
$949$	7.46278	+	16.0040i	0.242252	+	0.519511i
$950$	−16.6533	−	4.27166i	−0.540306	−	0.138591i
$951$	12.8370	−	22.2344i	0.416269	−	0.720998i
$952$	−5.49179	+	20.4957i	−0.177990	+	0.664268i
$953$	0.807143	−	1.73092i	0.0261459	−	0.0560701i	−0.892801	−	0.450451i	$-0.851263\pi$
$953$	0.807143	−	1.73092i	0.0261459	−	0.0560701i	0.918947	+	0.394381i	$0.129041\pi$
$954$	−6.16015	+	1.65061i	−0.199442	+	0.0534404i
$955$	15.3051	−	26.8401i	0.495262	−	0.868524i
$956$	−16.1091	+	16.1091i	−0.521005	+	0.521005i
$957$	3.27772	+	3.90623i	0.105954	+	0.126271i
$958$	−8.86921	−	19.0201i	−0.286551	−	0.614511i
$959$	15.6529	−	2.76003i	0.505458	−	0.0891259i
$960$	2.65201	−	0.482275i	0.0855932	−	0.0155654i
$961$		−	7.42745i		−	0.239595i
$962$	−11.1264	+	0.129526i	−0.358730	+	0.00417610i
$963$	0.290630	+	0.290630i	0.00936541	+	0.00936541i
$964$	−20.9105	+	14.6417i	−0.673481	+	0.471576i
$965$	8.60637	−	32.8213i	0.277049	−	1.05656i
$966$	−0.0708578	+	0.194680i	−0.00227981	+	0.00626373i
$967$	−14.9890	+	12.5772i	−0.482013	+	0.404457i	−0.851154	−	0.524917i	$-0.824096\pi$
$967$	−14.9890	+	12.5772i	−0.482013	+	0.404457i	0.369141	+	0.929373i	$0.379652\pi$
$968$		−	13.4622i		−	0.432691i
$969$	−13.9198	−	16.5890i	−0.447170	−	0.532916i
$970$	7.10696	−	5.03327i	0.228191	−	0.161608i
$971$	−8.52237	+	3.10189i	−0.273496	+	0.0995443i	−0.475127	−	0.879917i	$-0.657598\pi$
$971$	−8.52237	+	3.10189i	−0.273496	+	0.0995443i	0.201631	+	0.979461i	$0.435376\pi$
$972$	13.5929	+	3.64222i	0.435994	+	0.116824i
$973$	13.6034	+	50.7686i	0.436105	+	1.62757i
$974$	27.8511	+	4.91091i	0.892408	+	0.157356i
$975$	4.55242	−	10.0420i	0.145794	−	0.321603i
$976$	12.5255	+	3.35620i	0.400932	+	0.107429i
$977$	−14.4796	+	17.2561i	−0.463244	+	0.552072i	−0.946204	−	0.323570i	$-0.895117\pi$
$977$	−14.4796	+	17.2561i	−0.463244	+	0.552072i	0.482961	+	0.875642i	$0.339561\pi$
$978$	−0.666155	−	7.61418i	−0.0213013	−	0.243475i
$979$	−12.6672	+	27.1648i	−0.404845	+	0.868192i
$980$	5.38514	−	20.5368i	0.172022	−	0.656024i
$981$	12.1549	−	17.3591i	0.388078	−	0.554232i
$982$	−5.80567	−	15.9510i	−0.185266	−	0.509015i
$983$	13.3914	−	1.17159i	0.427119	−	0.0373681i	0.128430	−	0.991719i	$-0.459006\pi$
$983$	13.3914	−	1.17159i	0.427119	−	0.0373681i	0.298689	+	0.954351i	$0.403451\pi$
$984$	7.24317	−	0.633695i	0.230904	−	0.0202015i
$985$	−36.8343	+	44.3777i	−1.17364	+	1.41399i
$986$	4.04969	−	1.88840i	0.128968	−	0.0601389i
$987$	−42.0537	+	29.4463i	−1.33858	+	0.937286i
$988$	−6.07569	+	1.62798i	−0.193293	+	0.0517928i
$989$	0.00661474	+	0.0114571i	0.000210337	+	0.000364314i
$990$	17.0499	+	1.39973i	0.541883	+	0.0444865i
$991$	−6.00513	−	22.4114i	−0.190759	−	0.711923i	−0.993324	−	0.115358i	$-0.963199\pi$
$991$	−6.00513	−	22.4114i	−0.190759	−	0.711923i	0.802565	−	0.596565i	$-0.203468\pi$
$992$	6.17540	+	0.540277i	0.196069	+	0.0171538i
$993$	−17.4233			−0.552912
$994$	33.8695	+	2.96320i	1.07428	+	0.0939869i
$995$	20.2047	−	0.108178i	0.640533	−	0.00342947i
$996$	0.512403	+	2.90598i	0.0162361	+	0.0920796i
$997$	−4.73937	+	26.8783i	−0.150097	+	0.851245i	0.813035	+	0.582215i	$0.197814\pi$
$997$	−4.73937	+	26.8783i	−0.150097	+	0.851245i	−0.963132	+	0.269029i	$0.913297\pi$
$998$	−13.2380	+	13.2380i	−0.419042	+	0.419042i
$999$	−32.1014	+	9.00333i	−1.01564	+	0.284853i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	370.2.bd.a.13.3	yes	108
5.2	odd	4		370.2.ba.a.87.3	✓	108
37.20	odd	36		370.2.ba.a.353.3	yes	108
185.57	even	36	inner	370.2.bd.a.57.3	yes	108

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
370.2.ba.a.87.3	✓	108	5.2	odd	4
370.2.ba.a.353.3	yes	108	37.20	odd	36
370.2.bd.a.13.3	yes	108	1.1	even	1	trivial
370.2.bd.a.57.3	yes	108	185.57	even	36	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:	\( N \)	\(=\)	\( 370 = 2 \cdot 5 \cdot 37 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	370.bd (of order \(36\), degree \(12\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.984808 - 0.173648i) q^{2} +(-0.987459 - 0.691427i) q^{3} +(0.939693 + 0.342020i) q^{4} +(0.590293 + 2.15675i) q^{5} +(0.852393 + 0.852393i) q^{6} +(-0.353973 + 4.04593i) q^{7} +(-0.866025 - 0.500000i) q^{8} +(-0.529055 - 1.45357i) q^{9} +(-0.206810 - 2.22648i) q^{10} +(-4.28330 - 2.47296i) q^{11} +(-0.691427 - 0.987459i) q^{12} +(0.625655 - 1.71897i) q^{13} +(1.05116 - 3.92300i) q^{14} +(0.908342 - 2.53784i) q^{15} +(0.766044 + 0.642788i) q^{16} +(-4.90941 + 1.78688i) q^{17} +(0.268608 + 1.52335i) q^{18} +(-2.81665 - 1.97224i) q^{19} +(-0.182957 + 2.22857i) q^{20} +(3.14700 - 3.75044i) q^{21} +(3.78880 + 3.17918i) q^{22} +(0.0366470 - 0.0211581i) q^{23} +(0.509452 + 1.09252i) q^{24} +(-4.30311 + 2.54622i) q^{25} +(-0.914647 + 1.58421i) q^{26} +(-1.41861 + 5.29431i) q^{27} +(-1.71642 + 3.68086i) q^{28} +(0.826125 - 0.221360i) q^{29} +(-1.33523 + 2.34156i) q^{30} +(-4.38335 + 4.38335i) q^{31} +(-0.642788 - 0.766044i) q^{32} +(2.51971 + 5.40354i) q^{33} +(5.14512 - 0.907223i) q^{34} +(-8.93499 + 1.62485i) q^{35} -1.54685i q^{36} +(3.10250 + 5.23207i) q^{37} +(2.43138 + 2.43138i) q^{38} +(-1.80635 + 1.26482i) q^{39} +(0.567165 - 2.16294i) q^{40} +(2.06292 - 5.66781i) q^{41} +(-3.75044 + 3.14700i) q^{42} +0.312634i q^{43} +(-3.17918 - 3.78880i) q^{44} +(2.82268 - 1.99907i) q^{45} +(-0.0397643 + 0.0144730i) q^{46} +(-10.1287 - 2.71398i) q^{47} +(-0.311997 - 1.16439i) q^{48} +(-9.35059 - 1.64876i) q^{49} +(4.67988 - 1.76031i) q^{50} +(6.08334 + 1.63003i) q^{51} +(1.17585 - 1.40132i) q^{52} +(0.359331 + 4.10717i) q^{53} +(2.31640 - 4.96754i) q^{54} +(2.80515 - 10.6978i) q^{55} +(2.32951 - 3.32689i) q^{56} +(1.41767 + 3.89501i) q^{57} +(-0.852013 + 0.0745415i) q^{58} +(-4.76799 + 0.417145i) q^{59} +(1.72156 - 2.07412i) q^{60} +(11.7524 - 5.48024i) q^{61} +(5.07791 - 3.55559i) q^{62} +(6.06830 - 1.62600i) q^{63} +(0.500000 + 0.866025i) q^{64} +(4.07671 + 0.334682i) q^{65} +(-1.54312 - 5.75899i) q^{66} +(1.39113 + 0.121708i) q^{67} -5.22449 q^{68} +(-0.0508167 - 0.00444588i) q^{69} +(9.08140 - 0.0486227i) q^{70} +(1.45365 + 8.24408i) q^{71} +(-0.268608 + 1.52335i) q^{72} +(-6.82581 + 6.82581i) q^{73} +(-2.14682 - 5.69132i) q^{74} +(6.00967 + 0.460992i) q^{75} +(-1.97224 - 2.81665i) q^{76} +(11.5216 - 16.4546i) q^{77} +(1.99854 - 0.931937i) q^{78} +(-1.18766 + 13.5750i) q^{79} +(-0.934139 + 2.03160i) q^{80} +(1.50657 - 1.26416i) q^{81} +(-3.01578 + 5.22349i) q^{82} +(-2.21852 - 1.03451i) q^{83} +(4.23994 - 2.44793i) q^{84} +(-6.75184 - 9.53358i) q^{85} +(0.0542883 - 0.307884i) q^{86} +(-0.968819 - 0.352621i) q^{87} +(2.47296 + 4.28330i) q^{88} +(-0.528178 - 6.03710i) q^{89} +(-3.12693 + 1.47854i) q^{90} +(6.73338 + 3.13983i) q^{91} +(0.0416734 - 0.00734814i) q^{92} +(7.35914 - 1.29761i) q^{93} +(9.50356 + 4.43158i) q^{94} +(2.59097 - 7.23900i) q^{95} +(0.105063 + 1.20088i) q^{96} +(1.94734 + 3.37289i) q^{97} +(8.92223 + 3.24743i) q^{98} +(-1.32852 + 7.53439i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 108 q + 6 q^{3} + 6 q^{10} + 36 q^{11} - 6 q^{12} - 12 q^{14} - 12 q^{17} - 12 q^{19} - 42 q^{21} - 36 q^{23} + 6 q^{24} - 6 q^{25} - 6 q^{26} - 6 q^{27} - 24 q^{30} + 6 q^{33} - 66 q^{35} + 48 q^{38} - 12 q^{40}+ \cdots + 42 q^{99}+O(q^{100}) \) 108 * q + 6 * q^3 + 6 * q^10 + 36 * q^11 - 6 * q^12 - 12 * q^14 - 12 * q^17 - 12 * q^19 - 42 * q^21 - 36 * q^23 + 6 * q^24 - 6 * q^25 - 6 * q^26 - 6 * q^27 - 24 * q^30 + 6 * q^33 - 66 * q^35 + 48 * q^38 - 12 * q^40 + 48 * q^41 + 66 * q^42 - 6 * q^44 - 162 * q^45 + 6 * q^46 + 24 * q^47 + 12 * q^49 + 36 * q^50 - 12 * q^51 + 12 * q^53 + 18 * q^54 + 48 * q^57 + 6 * q^58 - 24 * q^59 - 36 * q^61 - 30 * q^62 + 102 * q^63 + 54 * q^64 + 54 * q^65 - 54 * q^67 + 96 * q^69 - 36 * q^70 - 48 * q^71 - 84 * q^73 - 42 * q^74 + 252 * q^75 - 6 * q^76 + 36 * q^77 - 36 * q^78 - 66 * q^79 - 6 * q^80 - 108 * q^81 + 6 * q^82 - 60 * q^83 - 18 * q^85 - 168 * q^87 + 12 * q^88 + 66 * q^89 + 12 * q^90 - 18 * q^91 - 18 * q^92 - 18 * q^94 - 18 * q^95 + 12 * q^96 - 36 * q^97 - 60 * q^98 + 42 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

Related objects

Downloads

Learn more