LMFDB - Embedded newform 552.2.t.a.19.16

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [552,2,Mod(19,552)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(552, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([11, 11, 0, 15]))

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

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

chi := DirichletCharacter("552.19");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 552 = 2^{3} \cdot 3 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	552.t (of order $22$, degree $10$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$4.40774219157$
Analytic rank:	$0$
Dimension:	$240$
Relative dimension:	$24$ over $\Q(\zeta_{22})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label			19.16
Character	$\chi$	$=$	552.19
Dual form			552.2.t.a.523.16

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.596315 + 1.28234i) q^{2} +(0.959493 - 0.281733i) q^{3} +(-1.28882 + 1.52936i) q^{4} +(1.60117 + 1.02901i) q^{5} +(0.933438 + 1.06240i) q^{6} +(0.727375 + 5.05900i) q^{7} +(-2.72971 - 0.740725i) q^{8} +(0.841254 - 0.540641i) q^{9} +O(q^{10})$	\(q+(0.596315 + 1.28234i) q^{2} +(0.959493 - 0.281733i) q^{3} +(-1.28882 + 1.52936i) q^{4} +(1.60117 + 1.02901i) q^{5} +(0.933438 + 1.06240i) q^{6} +(0.727375 + 5.05900i) q^{7} +(-2.72971 - 0.740725i) q^{8} +(0.841254 - 0.540641i) q^{9} +(-0.364742 + 2.66686i) q^{10} +(-4.38108 - 2.00077i) q^{11} +(-0.805739 + 1.83051i) q^{12} +(-2.75285 - 0.395800i) q^{13} +(-6.05364 + 3.94950i) q^{14} +(1.82621 + 0.536225i) q^{15} +(-0.677904 - 3.94214i) q^{16} +(2.60879 - 2.26053i) q^{17} +(1.19494 + 0.756385i) q^{18} +(2.96198 + 2.56657i) q^{19} +(-3.63734 + 1.12256i) q^{20} +(2.12320 + 4.64915i) q^{21} +(-0.0468245 - 6.81114i) q^{22} +(4.28462 + 2.15454i) q^{23} +(-2.82783 + 0.0583286i) q^{24} +(-0.572196 - 1.25294i) q^{25} +(-1.13401 - 3.76613i) q^{26} +(0.654861 - 0.755750i) q^{27} +(-8.67450 - 5.40771i) q^{28} +(2.71881 - 2.35586i) q^{29} +(0.401374 + 2.66159i) q^{30} +(0.621804 - 2.11767i) q^{31} +(4.65093 - 3.22006i) q^{32} +(-4.76730 - 0.685434i) q^{33} +(4.45443 + 1.99738i) q^{34} +(-4.04110 + 8.84878i) q^{35} +(-0.257385 + 1.98337i) q^{36} +(0.0190901 - 0.0122685i) q^{37} +(-1.52495 + 5.32876i) q^{38} +(-2.75285 + 0.395800i) q^{39} +(-3.60851 - 3.99492i) q^{40} +(6.31865 + 4.06075i) q^{41} +(-4.69572 + 5.49503i) q^{42} +(1.21691 + 4.14440i) q^{43} +(8.70631 - 4.12163i) q^{44} +1.90331 q^{45} +(-0.207881 + 6.77914i) q^{46} +5.57574i q^{47} +(-1.76107 - 3.59147i) q^{48} +(-18.3480 + 5.38745i) q^{49} +(1.26549 - 1.48090i) q^{50} +(1.86625 - 2.90394i) q^{51} +(4.15324 - 3.70000i) q^{52} +(0.500358 + 3.48007i) q^{53} +(1.35963 + 0.389092i) q^{54} +(-4.95603 - 7.71173i) q^{55} +(1.76180 - 14.3484i) q^{56} +(3.56508 + 1.62812i) q^{57} +(4.64229 + 2.08161i) q^{58} +(0.962543 - 6.69463i) q^{59} +(-3.17374 + 2.10185i) q^{60} +(-7.90693 - 2.32169i) q^{61} +(3.08638 - 0.465432i) q^{62} +(3.34701 + 3.86266i) q^{63} +(6.90265 + 4.04393i) q^{64} +(-4.00049 - 3.46645i) q^{65} +(-1.96385 - 6.52205i) q^{66} +(8.50756 - 3.88527i) q^{67} +(0.0949190 + 6.90318i) q^{68} +(4.71807 + 0.860150i) q^{69} +(-13.7570 + 0.0945748i) q^{70} +(13.0329 - 5.95194i) q^{71} +(-2.69685 + 0.852656i) q^{72} +(5.60045 - 6.46327i) q^{73} +(0.0271162 + 0.0171643i) q^{74} +(-0.902011 - 1.04098i) q^{75} +(-7.74266 + 1.22210i) q^{76} +(6.93522 - 23.6192i) q^{77} +(-2.14912 - 3.29408i) q^{78} +(-2.32328 + 16.1588i) q^{79} +(2.97105 - 7.00959i) q^{80} +(0.415415 - 0.909632i) q^{81} +(-1.43938 + 10.5242i) q^{82} +(-0.437726 - 0.681115i) q^{83} +(-9.84665 - 2.74476i) q^{84} +(6.50320 - 0.935019i) q^{85} +(-4.58889 + 4.03186i) q^{86} +(1.94495 - 3.02641i) q^{87} +(10.4771 + 8.70670i) q^{88} +(1.86816 + 6.36237i) q^{89} +(1.13497 + 2.44070i) q^{90} -14.2146i q^{91} +(-8.81716 + 3.77593i) q^{92} -2.20707i q^{93} +(-7.15003 + 3.32490i) q^{94} +(2.10160 + 7.15740i) q^{95} +(3.55534 - 4.39995i) q^{96} +(5.37204 - 8.35906i) q^{97} +(-17.8498 - 20.3158i) q^{98} +(-4.76730 + 0.685434i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 240 q + 24 q^{3} - 4 q^{4} + 11 q^{6} - 24 q^{9}+O(q^{10}) $ 240 * q + 24 * q^3 - 4 * q^4 + 11 * q^6 - 24 * q^9	$ 240 q + 24 q^{3} - 4 q^{4} + 11 q^{6} - 24 q^{9} + 4 q^{12} - 4 q^{16} + 44 q^{17} - 55 q^{20} - 24 q^{25} + 24 q^{27} + 33 q^{34} + 7 q^{36} - 132 q^{38} + 11 q^{40} - 66 q^{42} + 77 q^{44} + 37 q^{48} - 56 q^{49} - 37 q^{50} - 55 q^{52} - 11 q^{54} + 132 q^{56} + 37 q^{58} + 11 q^{60} + 51 q^{62} - 4 q^{64} - 55 q^{66} - 132 q^{70} + 144 q^{73} + 44 q^{74} + 24 q^{75} - 55 q^{76} - 198 q^{80} - 24 q^{81} - 26 q^{82} + 44 q^{84} - 110 q^{86} + 22 q^{88} - 139 q^{92} - 117 q^{94} - 209 q^{98}+O(q^{100}) $ 240 * q + 24 * q^3 - 4 * q^4 + 11 * q^6 - 24 * q^9 + 4 * q^12 - 4 * q^16 + 44 * q^17 - 55 * q^20 - 24 * q^25 + 24 * q^27 + 33 * q^34 + 7 * q^36 - 132 * q^38 + 11 * q^40 - 66 * q^42 + 77 * q^44 + 37 * q^48 - 56 * q^49 - 37 * q^50 - 55 * q^52 - 11 * q^54 + 132 * q^56 + 37 * q^58 + 11 * q^60 + 51 * q^62 - 4 * q^64 - 55 * q^66 - 132 * q^70 + 144 * q^73 + 44 * q^74 + 24 * q^75 - 55 * q^76 - 198 * q^80 - 24 * q^81 - 26 * q^82 + 44 * q^84 - 110 * q^86 + 22 * q^88 - 139 * q^92 - 117 * q^94 - 209 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/552\mathbb{Z}\right)^\times$.

$n$	$97$	$185$	$277$	$415$
$\chi(n)$	$e\left(\frac{15}{22}\right)$	$1$	$-1$	$-1$

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 $

$2$	0.596315	+	1.28234i	0.421658	+	0.906755i
$2$	0.596315	+	1.28234i	0.421658	+	0.906755i
$3$	0.959493	−	0.281733i	0.553964	−	0.162658i
$3$	0.959493	−	0.281733i	0.553964	−	0.162658i
$4$	−1.28882	+	1.52936i	−0.644408	+	0.764682i
$5$	1.60117	+	1.02901i	0.716064	+	0.460186i	0.847266	−	0.531170i	$-0.178247\pi$
$5$	1.60117	+	1.02901i	0.716064	+	0.460186i	−0.131202	+	0.991356i	$0.541884\pi$
$6$	0.933438	+	1.06240i	0.381075	+	0.433723i
$7$	0.727375	+	5.05900i	0.274922	+	1.91212i	0.393767	+	0.919210i	$0.371172\pi$
$7$	0.727375	+	5.05900i	0.274922	+	1.91212i	−0.118845	+	0.992913i	$0.537919\pi$
$8$	−2.72971	−	0.740725i	−0.965099	−	0.261886i
$9$	0.841254	−	0.540641i	0.280418	−	0.180214i
$10$	−0.364742	+	2.66686i	−0.115342	+	0.843335i
$11$	−4.38108	−	2.00077i	−1.32094	−	0.603255i	−0.374832	−	0.927093i	$-0.622300\pi$
$11$	−4.38108	−	2.00077i	−1.32094	−	0.603255i	−0.946113	+	0.323837i	$0.895027\pi$
$12$	−0.805739	+	1.83051i	−0.232597	+	0.528424i
$13$	−2.75285	−	0.395800i	−0.763504	−	0.109775i	−0.250447	−	0.968130i	$-0.580578\pi$
$13$	−2.75285	−	0.395800i	−0.763504	−	0.109775i	−0.513056	+	0.858355i	$0.671487\pi$
$14$	−6.05364	+	3.94950i	−1.61790	+	1.05555i
$15$	1.82621	+	0.536225i	0.471526	+	0.138453i
$16$	−0.677904	−	3.94214i	−0.169476	−	0.985534i
$17$	2.60879	−	2.26053i	0.632723	−	0.548258i	−0.278362	−	0.960476i	$-0.589791\pi$
$17$	2.60879	−	2.26053i	0.632723	−	0.548258i	0.911085	+	0.412218i	$0.135246\pi$
$18$	1.19494	+	0.756385i	0.281650	+	0.178282i
$19$	2.96198	+	2.56657i	0.679524	+	0.588811i	0.924713	−	0.380664i	$-0.124305\pi$
$19$	2.96198	+	2.56657i	0.679524	+	0.588811i	−0.245189	+	0.969475i	$0.578850\pi$
$20$	−3.63734	+	1.12256i	−0.813333	+	0.251013i
$21$	2.12320	+	4.64915i	0.463319	+	1.01453i
$22$	−0.0468245	−	6.81114i	−0.00998302	−	1.45214i
$23$	4.28462	+	2.15454i	0.893405	+	0.449253i
$23$	4.28462	+	2.15454i	0.893405	+	0.449253i
$24$	−2.82783	+	0.0583286i	−0.577227	+	0.0119063i
$25$	−0.572196	−	1.25294i	−0.114439	−	0.250587i
$26$	−1.13401	−	3.76613i	−0.222399	−	0.738598i
$27$	0.654861	−	0.755750i	0.126028	−	0.145444i
$28$	−8.67450	−	5.40771i	−1.63933	−	1.02196i
$29$	2.71881	−	2.35586i	0.504870	−	0.437472i	−0.364815	−	0.931080i	$-0.618868\pi$
$29$	2.71881	−	2.35586i	0.504870	−	0.437472i	0.869685	+	0.493608i	$0.164322\pi$
$30$	0.401374	+	2.66159i	0.0732805	+	0.485938i
$31$	0.621804	−	2.11767i	0.111679	−	0.380345i	−0.884618	−	0.466316i	$-0.845581\pi$
$31$	0.621804	−	2.11767i	0.111679	−	0.380345i	0.996298	+	0.0859709i	$0.0273992\pi$
$32$	4.65093	−	3.22006i	0.822177	−	0.569232i
$33$	−4.76730	−	0.685434i	−0.829880	−	0.119319i
$34$	4.45443	+	1.99738i	0.763929	+	0.342547i
$35$	−4.04110	+	8.84878i	−0.683071	+	1.49572i
$36$	−0.257385	+	1.98337i	−0.0428975	+	0.330562i
$37$	0.0190901	−	0.0122685i	0.00313840	−	0.00201693i	−0.539071	−	0.842261i	$-0.681224\pi$
$37$	0.0190901	−	0.0122685i	0.00313840	−	0.00201693i	0.542209	+	0.840244i	$0.317588\pi$
$38$	−1.52495	+	5.32876i	−0.247380	+	0.864439i
$39$	−2.75285	+	0.395800i	−0.440809	+	0.0633788i
$40$	−3.60851	−	3.99492i	−0.570556	−	0.631652i
$41$	6.31865	+	4.06075i	0.986808	+	0.634183i	0.931291	−	0.364275i	$-0.118683\pi$
$41$	6.31865	+	4.06075i	0.986808	+	0.634183i	0.0555162	+	0.998458i	$0.482320\pi$
$42$	−4.69572	+	5.49503i	−0.724566	+	0.847902i
$43$	1.21691	+	4.14440i	0.185576	+	0.632015i	0.998750	+	0.0499932i	$0.0159200\pi$
$43$	1.21691	+	4.14440i	0.185576	+	0.632015i	−0.813173	+	0.582022i	$0.802262\pi$
$44$	8.70631	−	4.12163i	1.31253	−	0.621360i
$45$	1.90331			0.283729
$46$	−0.207881	+	6.77914i	−0.0306503	+	0.999530i
$47$			5.57574i			0.813306i	0.913583	+	0.406653i	$0.133304\pi$
$47$			5.57574i			0.813306i	−0.913583	+	0.406653i	$0.866696\pi$
$48$	−1.76107	−	3.59147i	−0.254189	−	0.518383i
$49$	−18.3480	+	5.38745i	−2.62114	+	0.769636i
$50$	1.26549	−	1.48090i	0.178967	−	0.209431i
$51$	1.86625	−	2.90394i	0.261327	−	0.406633i
$52$	4.15324	−	3.70000i	0.575951	−	0.513097i
$53$	0.500358	+	3.48007i	0.0687295	+	0.478024i	0.994896	+	0.100908i	$0.0321749\pi$
$53$	0.500358	+	3.48007i	0.0687295	+	0.478024i	−0.926166	+	0.377115i	$0.876916\pi$
$54$	1.35963	+	0.389092i	0.185023	+	0.0529488i
$55$	−4.95603	−	7.71173i	−0.668271	−	1.03985i
$56$	1.76180	−	14.3484i	0.235431	−	1.91739i
$57$	3.56508	+	1.62812i	0.472207	+	0.215650i
$58$	4.64229	+	2.08161i	0.609563	+	0.273329i
$59$	0.962543	−	6.69463i	0.125312	−	0.871567i	−0.826073	−	0.563563i	$-0.809430\pi$
$59$	0.962543	−	6.69463i	0.125312	−	0.871567i	0.951385	−	0.308003i	$-0.0996608\pi$
$60$	−3.17374	+	2.10185i	−0.409728	+	0.271347i
$61$	−7.90693	−	2.32169i	−1.01238	−	0.297261i	−0.266853	−	0.963737i	$-0.585984\pi$
$61$	−7.90693	−	2.32169i	−1.01238	−	0.297261i	−0.745527	+	0.666476i	$0.767802\pi$
$62$	3.08638	−	0.465432i	0.391970	−	0.0591099i
$63$	3.34701	+	3.86266i	0.421684	+	0.486649i
$64$	6.90265	+	4.04393i	0.862832	+	0.505491i
$65$	−4.00049	−	3.46645i	−0.496200	−	0.429960i
$66$	−1.96385	−	6.52205i	−0.241733	−	0.802809i
$67$	8.50756	−	3.88527i	1.03936	−	0.474662i	0.178737	−	0.983897i	$-0.442799\pi$
$67$	8.50756	−	3.88527i	1.03936	−	0.474662i	0.860627	+	0.509235i	$0.170072\pi$
$68$	0.0949190	+	6.90318i	0.0115106	+	0.837134i
$69$	4.71807	+	0.860150i	0.567988	+	0.103550i
$70$	−13.7570	+	0.0945748i	−1.64427	+	0.0113039i
$71$	13.0329	−	5.95194i	1.54672	−	0.706365i	0.554657	−	0.832079i	$-0.312849\pi$
$71$	13.0329	−	5.95194i	1.54672	−	0.706365i	0.992067	+	0.125714i	$0.0401222\pi$
$72$	−2.69685	+	0.852656i	−0.317826	+	0.100487i
$73$	5.60045	−	6.46327i	0.655484	−	0.756468i	−0.326549	−	0.945180i	$-0.605886\pi$
$73$	5.60045	−	6.46327i	0.655484	−	0.756468i	0.982032	+	0.188712i	$0.0604312\pi$
$74$	0.0271162	+	0.0171643i	0.00315219	+	0.00199530i
$75$	−0.902011	−	1.04098i	−0.104155	−	0.120202i
$76$	−7.74266	+	1.22210i	−0.888144	+	0.140185i
$77$	6.93522	−	23.6192i	0.790342	−	2.69166i
$78$	−2.14912	−	3.29408i	−0.243340	−	0.372981i
$79$	−2.32328	+	16.1588i	−0.261389	+	1.81800i	0.261048	+	0.965326i	$0.415932\pi$
$79$	−2.32328	+	16.1588i	−0.261389	+	1.81800i	−0.522437	+	0.852678i	$0.674977\pi$
$80$	2.97105	−	7.00959i	0.332174	−	0.783696i
$81$	0.415415	−	0.909632i	0.0461572	−	0.101070i
$82$	−1.43938	+	10.5242i	−0.158952	+	1.16220i
$83$	−0.437726	−	0.681115i	−0.0480467	−	0.0747621i	0.816399	−	0.577488i	$-0.195967\pi$
$83$	−0.437726	−	0.681115i	−0.0480467	−	0.0747621i	−0.864446	+	0.502726i	$0.832331\pi$
$84$	−9.84665	−	2.74476i	−1.07436	−	0.299478i
$85$	6.50320	−	0.935019i	0.705371	−	0.101417i
$86$	−4.58889	+	4.03186i	−0.494833	+	0.434767i
$87$	1.94495	−	3.02641i	0.208521	−	0.324465i
$88$	10.4771	+	8.70670i	1.11686	+	0.928138i
$89$	1.86816	+	6.36237i	0.198025	+	0.674410i	0.997299	+	0.0734441i	$0.0233990\pi$
$89$	1.86816	+	6.36237i	0.198025	+	0.674410i	−0.799275	+	0.600966i	$0.794783\pi$
$90$	1.13497	+	2.44070i	0.119637	+	0.257272i
$91$		−	14.2146i		−	1.49009i
$92$	−8.81716	+	3.77593i	−0.919253	+	0.393668i
$93$		−	2.20707i		−	0.228863i
$94$	−7.15003	+	3.32490i	−0.737469	+	0.342937i
$95$	2.10160	+	7.15740i	0.215620	+	0.734334i
$96$	3.55534	−	4.39995i	0.362866	−	0.449068i
$97$	5.37204	−	8.35906i	0.545448	−	0.848734i	−0.453650	−	0.891180i	$-0.649879\pi$
$97$	5.37204	−	8.35906i	0.545448	−	0.848734i	0.999099	+	0.0424455i	$0.0135149\pi$
$98$	−17.8498	−	20.3158i	−1.80310	−	2.05221i
$99$	−4.76730	+	0.685434i	−0.479131	+	0.0688887i
$100$	2.65365	+	0.739708i	0.265365	+	0.0739708i
$101$	−9.34541	−	14.5417i	−0.929903	−	1.44696i	−0.894237	−	0.447593i	$-0.852281\pi$
$101$	−9.34541	−	14.5417i	−0.929903	−	1.44696i	−0.0356657	−	0.999364i	$-0.511355\pi$
$102$	4.83672	+	0.661511i	0.478907	+	0.0654993i
$103$	−1.45531	+	3.18668i	−0.143396	+	0.313993i	−0.967679	−	0.252185i	$-0.918851\pi$
$103$	−1.45531	+	3.18668i	−0.143396	+	0.313993i	0.824283	+	0.566177i	$0.191578\pi$
$104$	7.22131	+	3.11953i	0.708108	+	0.305895i
$105$	−1.38442	+	9.62885i	−0.135106	+	0.939680i
$106$	−4.16427	+	2.71685i	−0.404470	+	0.263884i
$107$	0.625601	−	2.13060i	0.0604791	−	0.205973i	−0.923710	−	0.383092i	$-0.874859\pi$
$107$	0.625601	−	2.13060i	0.0604791	−	0.205973i	0.984190	+	0.177118i	$0.0566776\pi$
$108$	0.311820	+	1.97554i	0.0300049	+	0.190097i
$109$	−2.44017	−	2.81610i	−0.233726	−	0.269734i	0.626756	−	0.779216i	$-0.284382\pi$
$109$	−2.44017	−	2.81610i	−0.233726	−	0.269734i	−0.860481	+	0.509482i	$0.829837\pi$
$110$	6.93374	−	10.9540i	0.661106	−	1.04442i
$111$	0.0148604	−	0.0171498i	0.00141049	−	0.00162779i
$112$	19.4502	−	6.29693i	1.83787	−	0.595004i
$113$	1.68819	−	0.770969i	0.158811	−	0.0725267i	−0.334424	−	0.942423i	$-0.608542\pi$
$113$	1.68819	−	0.770969i	0.158811	−	0.0725267i	0.493235	+	0.869896i	$0.335814\pi$
$114$	0.0381032	+	5.54254i	0.00356869	+	0.519106i
$115$	4.64335	+	7.85868i	0.432995	+	0.732826i
$116$	0.0989221	+	7.19432i	0.00918468	+	0.667976i
$117$	−2.52983	+	1.15534i	−0.233883	+	0.106811i
$118$	9.15880	−	2.75780i	0.843136	−	0.253876i
$119$	13.3336	+	11.5536i	1.22229	+	1.05912i
$120$	−4.58784	−	2.81646i	−0.418811	−	0.257106i
$121$	7.98729	+	9.21783i	0.726118	+	0.837984i
$122$	−1.73782	−	11.5239i	−0.157335	−	1.04332i
$123$	7.20675	+	2.11609i	0.649811	+	0.190802i
$124$	2.43730	+	3.68025i	0.218876	+	0.330497i
$125$	1.72744	−	12.0146i	0.154507	−	1.07462i
$126$	−2.95738	+	6.59538i	−0.263465	+	0.587563i
$127$	−5.97856	−	2.73032i	−0.530511	−	0.242276i	0.132105	−	0.991236i	$-0.457826\pi$
$127$	−5.97856	−	2.73032i	−0.530511	−	0.242276i	−0.662616	+	0.748959i	$0.730554\pi$
$128$	−1.06956	+	11.2630i	−0.0945362	+	0.995521i
$129$	2.33522	+	3.63368i	0.205605	+	0.319928i
$130$	2.05963	−	7.19711i	0.180641	−	0.631228i
$131$	0.522627	+	3.63495i	0.0456622	+	0.317587i	0.999832	+	0.0183221i	$0.00583243\pi$
$131$	0.522627	+	3.63495i	0.0456622	+	0.317587i	−0.954170	+	0.299265i	$0.903258\pi$
$132$	7.19245	−	6.40753i	0.626022	−	0.557704i
$133$	−10.8298	+	16.8515i	−0.939063	+	1.46121i
$134$	10.0554	+	8.59278i	0.868658	+	0.742303i
$135$	1.82621	−	0.536225i	0.157175	−	0.0461509i
$136$	−8.79566	+	4.23819i	−0.754221	+	0.363422i
$137$		−	16.6950i		−	1.42635i	−0.700988	−	0.713173i	$-0.747257\pi$
$137$		−	16.6950i		−	1.42635i	0.700988	−	0.713173i	$-0.252743\pi$
$138$	1.71045	+	6.56311i	0.145603	+	0.558689i
$139$	−20.9662			−1.77833			−0.889165	−	0.457588i	$-0.848714\pi$
$139$	−20.9662			−1.77833			−0.889165	+	0.457588i	$0.848714\pi$
$140$	−8.32476	−	17.5848i	−0.703571	−	1.48618i
$141$	1.57087	+	5.34989i	0.132291	+	0.450542i
$142$	15.4042	+	13.1635i	1.29269	+	1.10465i
$143$	11.2686	+	7.24186i	0.942324	+	0.605595i
$144$	−2.70157	−	2.94983i	−0.225131	−	0.245820i
$145$	6.77746	−	0.974452i	0.562838	−	0.0809238i
$146$	11.6278	+	3.32757i	0.962321	+	0.275392i
$147$	−16.0869	+	10.3384i	−1.32683	+	0.852701i
$148$	−0.00584071	+	0.0450076i	−0.000480104	+	0.00369960i
$149$	3.22022	−	7.05129i	0.263810	−	0.577664i	−0.730653	−	0.682749i	$-0.760784\pi$
$149$	3.22022	−	7.05129i	0.263810	−	0.577664i	0.994463	+	0.105085i	$0.0335115\pi$
$150$	0.797008	−	1.77744i	0.0650754	−	0.145127i
$151$	−21.3230	−	3.06578i	−1.73524	−	0.249490i	−0.799119	−	0.601173i	$-0.794700\pi$
$151$	−21.3230	−	3.06578i	−1.73524	−	0.249490i	−0.936119	+	0.351683i	$0.885610\pi$
$152$	−6.18423	−	9.20000i	−0.501607	−	0.746219i
$153$	0.972517	−	3.31209i	0.0786234	−	0.267767i
$154$	34.4235	−	5.19114i	2.77393	−	0.418314i
$155$	3.17471	−	2.75090i	0.254999	−	0.220958i
$156$	2.94260	−	4.72022i	0.235596	−	0.377920i
$157$	13.3497	−	15.4064i	1.06542	−	1.22956i	0.0931633	−	0.995651i	$-0.470302\pi$
$157$	13.3497	−	15.4064i	1.06542	−	1.22956i	0.972258	−	0.233911i	$-0.0751524\pi$
$158$	−22.1065	+	6.65647i	−1.75870	+	0.529561i
$159$	1.46054	+	3.19813i	0.115828	+	0.253628i
$160$	10.7604	−	0.370012i	0.850684	−	0.0292520i
$161$	−7.78330	+	23.2431i	−0.613410	+	1.83181i
$162$	1.41418	−	0.00972205i	0.111108	−	0.000763837i
$163$	0.126491	+	0.276977i	0.00990755	+	0.0216945i	0.914521	−	0.404538i	$-0.132568\pi$
$163$	0.126491	+	0.276977i	0.00990755	+	0.0216945i	−0.904614	+	0.426233i	$0.859840\pi$
$164$	−14.3539	+	4.42995i	−1.12085	+	0.345921i
$165$	−6.92792	−	6.00308i	−0.539338	−	0.467339i
$166$	0.612402	−	0.967475i	0.0475316	−	0.0750906i
$167$	−13.6198	+	11.8017i	−1.05394	+	0.913240i	−0.996372	−	0.0851019i	$-0.972878\pi$
$167$	−13.6198	+	11.8017i	−1.05394	+	0.913240i	−0.0575629	+	0.998342i	$0.518333\pi$
$168$	−2.35197	−	14.2635i	−0.181459	−	1.10046i
$169$	−5.05188	−	1.48336i	−0.388606	−	0.114105i
$170$	5.07697	+	7.78177i	0.389386	+	0.596835i
$171$	3.87937	+	0.557769i	0.296663	+	0.0426536i
$172$	−7.90666	−	3.48028i	−0.602877	−	0.265369i
$173$	−2.60410	−	1.18925i	−0.197986	−	0.0904173i	0.313955	−	0.949438i	$-0.398346\pi$
$173$	−2.60410	−	1.18925i	−0.197986	−	0.0904173i	−0.511941	+	0.859021i	$0.671073\pi$
$174$	5.04070	+	0.689409i	0.382135	+	0.0522640i
$175$	5.92240	−	3.80610i	0.447692	−	0.287714i
$176$	−4.91736	+	18.6271i	−0.370660	+	1.40407i
$177$	−0.962543	−	6.69463i	−0.0723491	−	0.503199i
$178$	−7.04474	+	6.18960i	−0.528026	+	0.463930i
$179$	7.62422	+	4.89979i	0.569861	+	0.366227i	0.793617	−	0.608418i	$-0.208196\pi$
$179$	7.62422	+	4.89979i	0.569861	+	0.366227i	−0.223756	+	0.974645i	$0.571832\pi$
$180$	−2.45302	+	2.91085i	−0.182837	+	0.216962i
$181$	−0.930650	+	0.273264i	−0.0691747	+	0.0203115i	−0.316137	−	0.948714i	$-0.602386\pi$
$181$	−0.930650	+	0.273264i	−0.0691747	+	0.0203115i	0.246962	+	0.969025i	$0.420568\pi$
$182$	18.2280	−	8.47637i	1.35115	−	0.628310i
$183$	−8.24074			−0.609173
$184$	−10.0999	−	9.05500i	−0.744571	−	0.667543i
$185$	0.0431909			0.00317546
$186$	2.83023	−	1.31611i	0.207522	−	0.0965020i
$187$	−15.9521	+	4.68395i	−1.16653	+	0.342525i
$188$	−8.52734	−	7.18611i	−0.621920	−	0.524101i
$189$	4.29967	+	2.76323i	0.312755	+	0.200995i
$190$	−7.92504	+	6.96305i	−0.574943	+	0.505152i
$191$	−1.38922	−	9.66223i	−0.100520	−	0.699134i	−0.976300	−	0.216423i	$-0.930561\pi$
$191$	−1.38922	−	9.66223i	−0.100520	−	0.699134i	0.875779	−	0.482711i	$-0.160348\pi$
$192$	7.76235	+	1.93542i	0.560200	+	0.139677i
$193$	−1.46161	+	0.939321i	−0.105209	+	0.0676138i	−0.592187	−	0.805800i	$-0.701735\pi$
$193$	−1.46161	+	0.939321i	−0.105209	+	0.0676138i	0.486978	+	0.873414i	$0.338099\pi$
$194$	13.9226	+	1.90418i	0.999587	+	0.136712i
$195$	−4.81506	−	2.19896i	−0.344813	−	0.157471i
$196$	15.4078	−	35.0042i	1.10056	−	2.50030i
$197$	15.6137	+	2.24491i	1.11243	+	0.159943i	0.673936	−	0.738790i	$-0.264603\pi$
$197$	15.6137	+	2.24491i	1.11243	+	0.159943i	0.438495	+	0.898734i	$0.355512\pi$
$198$	−3.72177	−	5.70458i	−0.264495	−	0.405407i
$199$	20.0209	+	5.87866i	1.41924	+	0.416727i	0.899247	−	0.437441i	$-0.144115\pi$
$199$	20.0209	+	5.87866i	1.41924	+	0.416727i	0.519996	+	0.854169i	$0.325933\pi$
$200$	0.633851	+	3.84399i	0.0448201	+	0.271811i
$201$	7.06834	−	6.12475i	0.498562	−	0.432006i
$202$	13.0747	−	20.6555i	0.919934	−	1.45332i
$203$	13.8959	+	12.0409i	0.975301	+	0.845103i
$204$	2.03593	+	6.59681i	0.142543	+	0.461869i
$205$	5.93867	+	13.0039i	0.414775	+	0.908230i
$206$	−4.95424	+	0.0340589i	−0.345178	+	0.00237300i
$207$	4.76928	−	0.503925i	0.331488	−	0.0350252i
$208$	0.305870	+	11.1204i	0.0212083	+	0.771063i
$209$	−7.84154	−	17.1706i	−0.542411	−	1.18771i
$210$	−13.1731	+	3.96653i	−0.909027	+	0.273716i
$211$	2.05906	−	2.37628i	0.141751	−	0.163590i	−0.680434	−	0.732809i	$-0.738209\pi$
$211$	2.05906	−	2.37628i	0.141751	−	0.163590i	0.822186	+	0.569219i	$0.192754\pi$
$212$	−5.96716	−	3.71994i	−0.409826	−	0.255486i
$213$	10.8281	−	9.38264i	0.741932	−	0.642888i
$214$	3.10522	−	0.468274i	0.212269	−	0.0320105i
$215$	−2.31615	+	7.88808i	−0.157960	+	0.537963i
$216$	−2.34738	+	1.57791i	−0.159719	+	0.107363i
$217$	11.1656	+	1.60537i	0.757970	+	0.108980i
$218$	2.15611	−	4.80842i	0.146030	−	0.325667i
$219$	3.55268	−	7.77929i	0.240068	−	0.525676i
$220$	18.1814	+	2.35944i	1.22579	+	0.159073i
$221$	−8.07631	+	5.19033i	−0.543272	+	0.349139i
$222$	0.0308535	+	0.00882948i	0.00207075	+	0.000592596i
$223$	−22.0721	+	3.17348i	−1.47805	+	0.212512i	−0.833701	−	0.552216i	$-0.813782\pi$
$223$	−22.0721	+	3.17348i	−1.47805	+	0.212512i	−0.644353	+	0.764728i	$0.722873\pi$
$224$	19.6733	+	21.1869i	1.31448	+	1.41561i
$225$	−1.15875	−	0.744684i	−0.0772500	−	0.0496456i
$226$	1.99534	+	1.70510i	0.132728	+	0.113421i
$227$	−6.69415	−	22.7982i	−0.444306	−	1.51317i	−0.812244	−	0.583317i	$-0.801754\pi$
$227$	−6.69415	−	22.7982i	−0.444306	−	1.51317i	0.367938	−	0.929850i	$-0.380064\pi$
$228$	−7.08472	+	3.35396i	−0.469197	+	0.222121i
$229$	−17.4695			−1.15442			−0.577209	−	0.816597i	$-0.695858\pi$
$229$	−17.4695			−1.15442			−0.577209	+	0.816597i	$0.695858\pi$
$230$	−7.30864	+	10.6406i	−0.481917	+	0.701622i
$231$		−	24.6163i		−	1.61964i
$232$	−9.16661	+	4.41693i	−0.601817	+	0.289986i
$233$	2.22820	−	0.654258i	0.145974	−	0.0428619i	−0.207929	−	0.978144i	$-0.566672\pi$
$233$	2.22820	−	0.654258i	0.145974	−	0.0428619i	0.353903	+	0.935282i	$0.384854\pi$
$234$	−2.99012	−	2.55517i	−0.195470	−	0.167037i
$235$	−5.73748	+	8.92770i	−0.374272	+	0.582379i
$236$	8.99798	+	10.1002i	0.585719	+	0.657469i
$237$	2.32328	+	16.1588i	0.150913	+	1.04962i
$238$	−6.86469	+	23.9878i	−0.444972	+	1.55490i
$239$	−7.67562	−	11.9435i	−0.496495	−	0.772561i	0.499078	−	0.866557i	$-0.333672\pi$
$239$	−7.67562	−	11.9435i	−0.496495	−	0.772561i	−0.995573	+	0.0939962i	$0.970036\pi$
$240$	0.875873	−	7.56269i	0.0565374	−	0.488170i
$241$	−4.35029	−	1.98671i	−0.280227	−	0.127975i	0.270344	−	0.962764i	$-0.412863\pi$
$241$	−4.35029	−	1.98671i	−0.280227	−	0.127975i	−0.550571	+	0.834789i	$0.685590\pi$
$242$	−7.05749	+	15.7392i	−0.453673	+	1.01175i
$243$	0.142315	−	0.989821i	0.00912950	−	0.0634971i
$244$	13.7413	−	9.10035i	0.879696	−	0.582590i
$245$	−34.9219	−	10.2540i	−2.23108	−	0.655104i
$246$	1.58393	+	10.5034i	0.100988	+	0.669672i
$247$	−7.13804	−	8.23773i	−0.454182	−	0.524154i
$248$	−3.26596	+	5.32005i	−0.207389	+	0.337823i
$249$	−0.611888	−	0.530204i	−0.0387768	−	0.0336003i
$250$	16.4370	−	4.94933i	1.03957	−	0.313023i
$251$	20.1961	−	9.22325i	1.27477	−	0.582167i	0.341005	−	0.940061i	$-0.389233\pi$
$251$	20.1961	−	9.22325i	1.27477	−	0.582167i	0.933762	+	0.357895i	$0.116505\pi$
$252$	−10.2211	+	0.140540i	−0.643868	+	0.00885320i
$253$	−14.4605	−	18.0118i	−0.909124	−	1.13239i
$254$	−0.0638982	−	9.29470i	−0.00400933	−	0.583201i
$255$	5.97635	−	2.72931i	0.374253	−	0.170916i
$256$	−15.0809	+	5.34478i	−0.942556	+	0.334049i
$257$	−6.22565	+	7.18478i	−0.388345	+	0.448174i	−0.915936	−	0.401324i	$-0.868550\pi$
$257$	−6.22565	+	7.18478i	−0.388345	+	0.448174i	0.527591	+	0.849499i	$0.323095\pi$
$258$	−3.26710	+	5.16138i	−0.203401	+	0.321334i
$259$	0.0759520	+	0.0876533i	0.00471943	+	0.00544651i
$260$	10.4574	−	1.65059i	0.648538	−	0.102365i
$261$	1.01353	−	3.45177i	0.0627361	−	0.213659i
$262$	−4.34961	+	2.83777i	−0.268720	+	0.175318i
$263$	−1.78463	+	12.4124i	−0.110045	+	0.765382i	0.857827	+	0.513939i	$0.171814\pi$
$263$	−1.78463	+	12.4124i	−0.110045	+	0.765382i	−0.967872	+	0.251443i	$0.919095\pi$
$264$	12.5056	+	5.40229i	0.769668	+	0.332488i
$265$	−2.77986	+	6.08704i	−0.170765	+	0.373924i
$266$	−28.0674	−	3.83874i	−1.72092	−	0.235368i
$267$	3.58497	+	5.57833i	0.219397	+	0.341388i
$268$	−5.02269	+	18.0186i	−0.306810	+	1.10066i
$269$	−20.0010	+	2.87571i	−1.21948	+	0.175335i	−0.721847	−	0.692052i	$-0.756707\pi$
$269$	−20.0010	+	2.87571i	−1.21948	+	0.175335i	−0.497634	+	0.867387i	$0.665798\pi$
$270$	1.77662	+	2.02208i	0.108122	+	0.123060i
$271$	−7.16595	+	11.1504i	−0.435300	+	0.677341i	−0.987722	−	0.156225i	$-0.950068\pi$
$271$	−7.16595	+	11.1504i	−0.435300	+	0.677341i	0.552421	+	0.833565i	$0.313704\pi$
$272$	−10.6798	−	8.75177i	−0.647558	−	0.530654i
$273$	−4.00471	−	13.6388i	−0.242376	−	0.825457i
$274$	21.4087	−	9.95545i	1.29335	−	0.601431i
$275$			6.63404i			0.400048i
$276$	−7.39620	+	6.10706i	−0.445199	+	0.367602i
$277$			7.43682i			0.446835i	0.974723	+	0.223418i	$0.0717214\pi$
$277$			7.43682i			0.446835i	−0.974723	+	0.223418i	$0.928279\pi$
$278$	−12.5025	−	26.8859i	−0.749848	−	1.61251i
$279$	−0.621804	−	2.11767i	−0.0372265	−	0.126782i
$280$	17.5856	−	21.1613i	1.05094	−	1.26463i
$281$	−3.34856	+	5.21046i	−0.199758	+	0.310830i	−0.926652	−	0.375920i	$-0.877327\pi$
$281$	−3.34856	+	5.21046i	−0.199758	+	0.310830i	0.726894	+	0.686750i	$0.240963\pi$
$282$	−5.92367	+	5.20461i	−0.352749	+	0.309930i
$283$	16.6549	−	2.39462i	0.990032	−	0.142345i	0.371776	−	0.928322i	$-0.378749\pi$
$283$	16.6549	−	2.39462i	0.990032	−	0.142345i	0.618256	+	0.785977i	$0.287840\pi$
$284$	−7.69437	+	27.6030i	−0.456577	+	1.63794i
$285$	4.03295	+	6.27539i	0.238891	+	0.371722i
$286$	−2.56695	+	18.7686i	−0.151787	+	1.10981i
$287$	−15.9473	+	34.9198i	−0.941341	+	2.06125i
$288$	2.17172	−	5.22337i	0.127970	−	0.307790i
$289$	−0.723567	+	5.03252i	−0.0425627	+	0.296030i
$290$	5.29109	+	8.10996i	0.310703	+	0.476233i
$291$	2.79942	−	9.53394i	0.164105	−	0.558890i
$292$	2.66673	+	16.8951i	0.156058	+	0.988711i
$293$	−5.05059	−	5.82869i	−0.295058	−	0.340516i	0.588792	−	0.808284i	$-0.299604\pi$
$293$	−5.05059	−	5.82869i	−0.295058	−	0.340516i	−0.883851	+	0.467769i	$0.845058\pi$
$294$	−22.8503	−	14.4640i	−1.33266	−	0.843559i
$295$	8.43002	−	9.72876i	0.490814	−	0.566430i
$296$	−0.0611982	+	0.0193489i	−0.00355707	+	0.00112463i
$297$	−4.38108	+	2.00077i	−0.254216	+	0.116097i
$298$	10.9624	−	0.0753634i	0.635038	−	0.00436569i
$299$	−10.9422	−	7.62698i	−0.632801	−	0.441080i
$300$	2.75456	−	0.0378753i	0.159034	−	0.00218673i
$301$	−20.0814	+	9.17086i	−1.15747	+	0.528600i
$302$	−8.78382	−	29.1716i	−0.505452	−	1.67864i
$303$	−13.0637	−	11.3198i	−0.750492	−	0.650305i
$304$	8.10983	−	13.4164i	0.465131	−	0.769484i
$305$	−10.2713	−	11.8537i	−0.588132	−	0.678741i
$306$	4.82717	−	0.727947i	0.275951	−	0.0416140i
$307$	16.6419	+	4.88650i	0.949804	+	0.278887i	0.719705	−	0.694280i	$-0.244277\pi$
$307$	16.6419	+	4.88650i	0.949804	+	0.278887i	0.230098	+	0.973167i	$0.426095\pi$
$308$	27.1841	+	41.0473i	1.54896	+	2.33889i
$309$	−0.498566	+	3.46760i	−0.0283624	+	0.197265i
$310$	5.42074	+	2.43067i	0.307877	+	0.138053i
$311$	−15.6658	−	7.15433i	−0.888326	−	0.405685i	−0.0816380	−	0.996662i	$-0.526015\pi$
$311$	−15.6658	−	7.15433i	−0.888326	−	0.405685i	−0.806688	+	0.590977i	$0.798742\pi$
$312$	7.80767	+	0.958684i	0.442022	+	0.0542748i
$313$	−6.02199	−	9.37040i	−0.340383	−	0.529646i	0.628292	−	0.777978i	$-0.283754\pi$
$313$	−6.02199	−	9.37040i	−0.340383	−	0.529646i	−0.968675	+	0.248331i	$0.920118\pi$
$314$	27.7169	+	7.93186i	1.56415	+	0.447621i
$315$	1.38442	+	9.62885i	0.0780032	+	0.542524i
$316$	−21.7183	−	24.3788i	−1.22175	−	1.37142i
$317$	−10.5942	+	16.4849i	−0.595031	+	0.925886i	0.404903	+	0.914360i	$0.367305\pi$
$317$	−10.5942	+	16.4849i	−0.595031	+	0.925886i	−0.999934	+	0.0115263i	$0.996331\pi$
$318$	−3.23017	+	3.78001i	−0.181139	+	0.211972i
$319$	−16.6248	+	4.88150i	−0.930813	+	0.273311i
$320$	6.89107	+	13.5779i	0.385222	+	0.759027i
$321$		−	2.22055i		−	0.123939i
$322$	−34.4469	+	3.87931i	−1.91965	+	0.216185i
$323$	13.5290			0.752771
$324$	0.855764	+	1.80767i	0.0475424	+	0.100426i
$325$	1.07926	+	3.67562i	0.0598666	+	0.203887i
$326$	−0.279751	+	0.327371i	−0.0154940	+	0.0181314i
$327$	−3.13471	−	2.01456i	−0.173350	−	0.111405i
$328$	−14.2402	−	15.7651i	−0.786284	−	0.870480i
$329$	−28.2077	+	4.05566i	−1.55514	+	0.223596i
$330$	3.56679	−	12.4637i	0.196345	−	0.686105i
$331$	−18.8420	+	12.1090i	−1.03565	+	0.665571i	−0.943907	−	0.330211i	$-0.892880\pi$
$331$	−18.8420	+	12.1090i	−1.03565	+	0.665571i	−0.0917423	+	0.995783i	$0.529244\pi$
$332$	1.60582	+	0.208390i	0.0881309	+	0.0114369i
$333$	0.00942680	−	0.0206418i	0.000516586	−	0.00113116i
$334$	−23.2555	−	10.4278i	−1.27249	−	0.570585i
$335$	17.6200	+	2.53337i	0.962683	+	0.138413i
$336$	16.8883	−	11.5216i	0.921331	−	0.628555i
$337$	−8.61680	+	29.3461i	−0.469387	+	1.59858i	0.296116	+	0.955152i	$0.404308\pi$
$337$	−8.61680	+	29.3461i	−0.469387	+	1.59858i	−0.765503	+	0.643433i	$0.777510\pi$
$338$	−1.11033	−	7.36280i	−0.0603937	−	0.400483i
$339$	1.40260	−	1.21536i	0.0761786	−	0.0660091i
$340$	−6.95144	+	11.1508i	−0.376995	+	0.604738i
$341$	−6.96115	+	8.03360i	−0.376967	+	0.435044i
$342$	1.59807	+	5.30729i	0.0864139	+	0.286985i
$343$	−25.7386	−	56.3597i	−1.38975	−	3.04314i
$344$	−0.251943	−	12.2144i	−0.0135838	−	0.658557i
$345$	6.66931	+	6.23217i	0.359064	+	0.335529i
$346$	−0.0278324	−	4.04853i	−0.00149628	−	0.217650i
$347$	2.36149	+	5.17094i	0.126771	+	0.277591i	0.962366	−	0.271755i	$-0.0876042\pi$
$347$	2.36149	+	5.17094i	0.126771	+	0.277591i	−0.835595	+	0.549346i	$0.814877\pi$
$348$	2.12179	+	6.87503i	0.113740	+	0.368540i
$349$	15.4645	+	13.4001i	0.827796	+	0.717290i	0.961818	−	0.273689i	$-0.0882438\pi$
$349$	15.4645	+	13.4001i	0.827796	+	0.717290i	−0.134022	+	0.990978i	$0.542789\pi$
$350$	8.41235	+	5.32493i	0.449659	+	0.284629i
$351$	−2.10186	+	1.82127i	−0.112189	+	0.0972123i
$352$	−26.8187	+	4.80189i	−1.42944	+	0.255942i
$353$	17.3888	+	5.10583i	0.925515	+	0.271756i	0.709558	−	0.704647i	$-0.248895\pi$
$353$	17.3888	+	5.10583i	0.925515	+	0.271756i	0.215957	+	0.976403i	$0.430713\pi$
$354$	8.01085	−	5.22642i	0.425772	−	0.277781i
$355$	26.9925	+	3.88093i	1.43261	+	0.205978i
$356$	−12.1381	−	5.34283i	−0.643318	−	0.283169i
$357$	16.0485	+	7.32910i	0.849376	+	0.387897i
$358$	−1.73678	+	12.6987i	−0.0917917	+	0.671147i
$359$	8.93913	−	5.74483i	0.471789	−	0.303200i	−0.283056	−	0.959103i	$-0.591348\pi$
$359$	8.93913	−	5.74483i	0.471789	−	0.303200i	0.754845	+	0.655903i	$0.227712\pi$
$360$	−5.19549	−	1.40983i	−0.273826	−	0.0743045i
$361$	−0.517942	−	3.60237i	−0.0272601	−	0.189598i
$362$	−0.905379	−	1.03046i	−0.0475857	−	0.0541600i
$363$	10.2607	+	6.59416i	0.538548	+	0.346104i
$364$	21.7393	+	18.3200i	1.13945	+	0.960228i
$365$	15.6180	−	4.58586i	0.817484	−	0.240035i
$366$	−4.91408	−	10.5675i	−0.256863	−	0.552371i
$367$	23.2232			1.21224			0.606121	−	0.795373i	$-0.292725\pi$
$367$	23.2232			1.21224			0.606121	+	0.795373i	$0.292725\pi$
$368$	5.58893	−	18.3511i	0.291343	−	0.956619i
$369$	7.51100			0.391007
$370$	0.0257554	+	0.0553856i	0.00133896	+	0.00287936i
$371$	−17.2417	+	5.06262i	−0.895145	+	0.262838i
$372$	3.37542	+	2.84451i	0.175007	+	0.147481i
$373$	−1.63651	−	1.05172i	−0.0847351	−	0.0544559i	0.497587	−	0.867414i	$-0.334219\pi$
$373$	−1.63651	−	1.05172i	−0.0847351	−	0.0544559i	−0.582322	+	0.812958i	$0.697856\pi$
$374$	−15.5189	−	17.6630i	−0.802464	−	0.913330i
$375$	−1.72744	−	12.0146i	−0.0892049	−	0.620433i
$376$	4.13009	−	15.2202i	0.212993	−	0.784921i
$377$	−8.41692	+	5.40923i	−0.433494	+	0.278589i
$378$	−0.979455	+	7.16141i	−0.0503777	+	0.368343i
$379$	−21.9865	−	10.0409i	−1.12937	−	0.515767i	−0.239008	−	0.971018i	$-0.576822\pi$
$379$	−21.9865	−	10.0409i	−1.12937	−	0.515767i	−0.890363	+	0.455251i	$0.849549\pi$
$380$	−13.6548	−	6.01046i	−0.700479	−	0.308330i
$381$	−6.50560	−	0.935364i	−0.333292	−	0.0479202i
$382$	11.5619	−	7.54319i	0.591558	−	0.385943i
$383$	12.5581	+	3.68738i	0.641688	+	0.188416i	0.586359	−	0.810052i	$-0.300561\pi$
$383$	12.5581	+	3.68738i	0.641688	+	0.188416i	0.0553292	+	0.998468i	$0.482379\pi$
$384$	2.14693	+	11.1081i	0.109560	+	0.566860i
$385$	35.4088	−	30.6819i	1.80460	−	1.56369i
$386$	−2.07612	−	1.31416i	−0.105672	−	0.0668890i
$387$	3.26436	+	2.82858i	0.165937	+	0.143785i
$388$	5.86047	+	18.9891i	0.297520	+	0.964026i
$389$	4.70087	+	10.2935i	0.238343	+	0.521899i	0.990570	−	0.137005i	$-0.0437476\pi$
$389$	4.70087	+	10.2935i	0.238343	+	0.521899i	−0.752227	+	0.658904i	$0.771020\pi$
$390$	−0.0514628	−	7.48584i	−0.00260592	−	0.379060i
$391$	16.0480	−	4.06476i	0.811584	−	0.205564i
$392$	54.0753	−	1.11539i	2.73122	−	0.0563359i
$393$	1.52554	+	3.34047i	0.0769534	+	0.168504i
$394$	6.43194	+	21.3608i	0.324036	+	1.07614i
$395$	−20.3475	+	23.4822i	−1.02379	+	1.18152i
$396$	5.09589	−	8.17433i	0.256078	−	0.410775i
$397$	7.74960	−	6.71507i	0.388941	−	0.337019i	−0.438338	−	0.898810i	$-0.644433\pi$
$397$	7.74960	−	6.71507i	0.388941	−	0.337019i	0.827279	+	0.561791i	$0.189887\pi$
$398$	4.40029	+	29.1792i	0.220566	+	1.46262i
$399$	−5.64351	+	19.2200i	−0.282529	+	0.962204i
$400$	−4.55135	+	3.10505i	−0.227567	+	0.155252i
$401$	32.7035	+	4.70206i	1.63314	+	0.234809i	0.897002	−	0.442027i	$-0.145740\pi$
$401$	32.7035	+	4.70206i	1.63314	+	0.234809i	0.736134	+	0.676836i	$0.236649\pi$
$402$	12.0690	+	5.41176i	0.601947	+	0.269914i
$403$	−2.54991	+	5.58352i	−0.127020	+	0.278135i
$404$	34.2841	+	4.44911i	1.70570	+	0.221351i
$405$	1.60117	−	1.02901i	0.0795626	−	0.0511318i
$406$	−7.15420	+	24.9995i	−0.355057	+	1.24070i
$407$	−0.108182	+	0.0155542i	−0.00536237	+	0.000770993i
$408$	−7.24534	+	6.54454i	−0.358698	+	0.324003i
$409$	22.7702	+	14.6335i	1.12591	+	0.723581i	0.964703	−	0.263339i	$-0.0848238\pi$
$409$	22.7702	+	14.6335i	1.12591	+	0.723581i	0.161210	+	0.986920i	$0.448460\pi$
$410$	−13.1341	+	15.3698i	−0.648649	+	0.759062i
$411$	−4.70351	−	16.0187i	−0.232007	−	0.790144i
$412$	−2.99797	−	6.33274i	−0.147699	−	0.311992i
$413$	34.5683			1.70099
$414$	3.49020	+	5.81537i	0.171534	+	0.285810i
$415$		−	1.54100i		−	0.0756448i
$416$	−14.0778	+	7.02351i	−0.690223	+	0.344356i
$417$	−20.1169	+	5.90686i	−0.985129	+	0.289260i
$418$	17.3426	−	20.2946i	0.848253	−	0.992643i
$419$	−1.64328	+	2.55699i	−0.0802794	+	0.124917i	−0.879071	−	0.476690i	$-0.841836\pi$
$419$	−1.64328	+	2.55699i	−0.0802794	+	0.124917i	0.798792	+	0.601607i	$0.205473\pi$
$420$	−12.9417	−	14.5271i	−0.631493	−	0.708850i
$421$	1.96039	+	13.6348i	0.0955436	+	0.664520i	0.980161	+	0.198203i	$0.0635105\pi$
$421$	1.96039	+	13.6348i	0.0955436	+	0.664520i	−0.884617	+	0.466318i	$0.845580\pi$
$422$	4.27506	+	1.22341i	0.208107	+	0.0595547i
$423$	3.01448	+	4.69062i	0.146569	+	0.228066i
$424$	1.21194	−	9.87021i	0.0588569	−	0.479340i
$425$	−4.32503	−	1.97517i	−0.209795	−	0.0958101i
$426$	18.4888	+	8.29040i	0.895784	+	0.401671i
$427$	5.99411	−	41.6899i	0.290075	−	2.01752i
$428$	2.45218	+	3.70273i	0.118531	+	0.178978i
$429$	12.8524	+	3.77379i	0.620518	+	0.182201i
$430$	−11.4964	+	1.73368i	−0.554405	+	0.0836054i
$431$	0.454945	+	0.525035i	0.0219139	+	0.0252900i	0.766601	−	0.642124i	$-0.221947\pi$
$431$	0.454945	+	0.525035i	0.0219139	+	0.0252900i	−0.744687	+	0.667414i	$0.767401\pi$
$432$	−3.42320	−	2.06923i	−0.164699	−	0.0995556i
$433$	−15.7014	−	13.6054i	−0.754563	−	0.653832i	0.190141	−	0.981757i	$-0.439105\pi$
$433$	−15.7014	−	13.6054i	−0.754563	−	0.653832i	−0.944704	+	0.327924i	$0.893651\pi$
$434$	4.59957	+	15.2754i	0.220787	+	0.733245i
$435$	6.22839	−	2.84441i	0.298629	−	0.136379i
$436$	7.45177	−	0.102462i	0.356875	−	0.00490704i
$437$	7.16117	+	17.3785i	0.342565	+	0.831325i
$438$	12.0943	−	0.0831443i	0.577886	−	0.00397279i
$439$	22.0573	−	10.0732i	1.05274	−	0.480770i	0.187570	−	0.982251i	$-0.439939\pi$
$439$	22.0573	−	10.0732i	1.05274	−	0.480770i	0.865168	+	0.501481i	$0.167211\pi$
$440$	7.81626	+	24.7219i	0.372626	+	1.17857i
$441$	−12.5226	+	14.4519i	−0.596316	+	0.688185i
$442$	−11.4718	−	7.26155i	−0.545659	−	0.345397i
$443$	−3.54065	−	4.08613i	−0.168221	−	0.194138i	0.665379	−	0.746506i	$-0.268270\pi$
$443$	−3.54065	−	4.08613i	−0.168221	−	0.194138i	−0.833601	+	0.552368i	$0.813724\pi$
$444$	0.00707598	+	0.0448300i	0.000335811	+	0.00212754i
$445$	−3.55569	+	12.1096i	−0.168556	+	0.574048i
$446$	−17.2314	−	26.4116i	−0.815931	−	1.25063i
$447$	1.10320	−	7.67290i	0.0521794	−	0.362916i
$448$	−15.4374	+	37.8620i	−0.729350	+	1.78881i
$449$	8.93461	−	19.5641i	0.421650	−	0.923285i	−0.572958	−	0.819585i	$-0.694204\pi$
$449$	8.93461	−	19.5641i	0.421650	−	0.923285i	0.994609	−	0.103701i	$-0.0330684\pi$
$450$	0.263961	−	1.92998i	0.0124432	−	0.0909803i
$451$	−19.5579	−	30.4326i	−0.920944	−	1.43302i
$452$	−0.996671	+	3.57549i	−0.0468795	+	0.168177i
$453$	−21.3230	+	3.06578i	−1.00184	+	0.144043i
$454$	25.2433	−	22.1791i	1.18473	−	1.04092i
$455$	14.6269	−	22.7599i	0.685720	−	1.06700i
$456$	−8.52566	−	7.08504i	−0.399251	−	0.331787i
$457$	4.06357	+	13.8393i	0.190086	+	0.647373i	0.998289	+	0.0584695i	$0.0186220\pi$
$457$	4.06357	+	13.8393i	0.190086	+	0.647373i	−0.808203	+	0.588904i	$0.799560\pi$
$458$	−10.4173	−	22.4019i	−0.486770	−	1.04677i
$459$		−	3.45192i		−	0.161122i
$460$	−18.0032	−	3.02703i	−0.839404	−	0.141136i
$461$			22.6957i			1.05704i	0.848920	+	0.528522i	$0.177254\pi$
$461$			22.6957i			1.05704i	−0.848920	+	0.528522i	$0.822746\pi$
$462$	31.5666	−	14.6791i	1.46861	−	0.682933i
$463$	−9.44402	−	32.1634i	−0.438901	−	1.49476i	−0.821157	−	0.570703i	$-0.806671\pi$
$463$	−9.44402	−	32.1634i	−0.438901	−	1.49476i	0.382256	−	0.924057i	$-0.375147\pi$
$464$	−11.1302	−	9.12087i	−0.516707	−	0.423426i
$465$	2.27109	−	3.53389i	0.105319	−	0.163880i
$466$	2.16769	+	2.46717i	0.100416	+	0.114290i
$467$	−38.7988	+	5.57842i	−1.79539	+	0.258139i	−0.957652	−	0.287928i	$-0.907034\pi$
$467$	−38.7988	+	5.57842i	−1.79539	+	0.258139i	−0.837742	+	0.546066i	$0.816125\pi$
$468$	1.49356	−	5.35805i	0.0690399	−	0.247676i
$469$	25.8438	+	40.2137i	1.19336	+	1.85690i
$470$	−14.8697	−	2.03371i	−0.685890	−	0.0938080i
$471$	8.46846	−	18.5433i	0.390206	−	0.854432i
$472$	−7.58634	+	17.5614i	−0.349190	+	0.808331i
$473$	2.96064	−	20.5917i	0.136130	−	0.946807i
$474$	−19.3357	+	12.6150i	−0.888118	+	0.579425i
$475$	1.52091	−	5.17975i	0.0697842	−	0.237663i
$476$	−34.8542	+	5.50140i	−1.59754	+	0.252156i
$477$	2.30239	+	2.65710i	0.105419	+	0.121660i
$478$	10.7386	−	16.9649i	0.491172	−	0.775956i
$479$	−21.9128	+	25.2887i	−1.00122	+	1.15547i	−0.0133937	+	0.999910i	$0.504263\pi$
$479$	−21.9128	+	25.2887i	−1.00122	+	1.15547i	−0.987827	+	0.155559i	$0.950282\pi$
$480$	10.2203	−	3.38658i	0.466490	−	0.154575i
$481$	−0.0574082	+	0.0262174i	−0.00261759	+	0.00119541i
$482$	−0.0464954	−	6.76327i	−0.00211781	−	0.308059i
$483$	−0.919698	+	24.4944i	−0.0418477	+	1.11453i
$484$	−24.3916	+	0.335385i	−1.10871	+	0.0152448i
$485$	17.2031	−	7.85638i	0.781151	−	0.356740i
$486$	1.35416	−	0.407749i	0.0614258	−	0.0184959i
$487$	−31.2445	−	27.0735i	−1.41582	−	1.22682i	−0.937198	−	0.348799i	$-0.886590\pi$
$487$	−31.2445	−	27.0735i	−1.41582	−	1.22682i	−0.478625	−	0.878019i	$-0.658865\pi$
$488$	19.8639	+	12.1944i	0.899198	+	0.552014i
$489$	0.199401	+	0.230121i	0.00901722	+	0.0104064i
$490$	−7.67530	−	50.8965i	−0.346735	−	2.29927i
$491$	−37.2533	−	10.9386i	−1.68122	−	0.493650i	−0.704777	−	0.709429i	$-0.748953\pi$
$491$	−37.2533	−	10.9386i	−1.68122	−	0.493650i	−0.976442	+	0.215779i	$0.930771\pi$
$492$	−12.5244	+	8.29448i	−0.564646	+	0.373944i
$493$	1.76730	−	12.2919i	0.0795954	−	0.553598i
$494$	6.30710	−	14.0657i	0.283770	−	0.632846i
$495$	−8.33855	−	3.80809i	−0.374790	−	0.171161i
$496$	−8.76968	−	1.01566i	−0.393770	−	0.0456045i
$497$	39.5907	+	61.6043i	1.77588	+	2.76333i
$498$	0.315026	−	1.10082i	0.0141167	−	0.0493289i
$499$	−5.19460	−	36.1293i	−0.232542	−	1.61737i	−0.687040	−	0.726620i	$-0.741090\pi$
$499$	−5.19460	−	36.1293i	−0.232542	−	1.61737i	0.454497	−	0.890748i	$-0.349819\pi$
$500$	16.1484	+	18.1266i	0.722178	+	0.810644i
$501$	−9.74323	+	15.1608i	−0.435296	+	0.677333i
$502$	23.8706	+	20.3984i	1.06540	+	0.910425i
$503$	32.9960	−	9.68850i	1.47122	−	0.431989i	0.554724	−	0.832035i	$-0.312824\pi$
$503$	32.9960	−	9.68850i	1.47122	−	0.431989i	0.916495	+	0.400046i	$0.131006\pi$
$504$	−6.27521	−	13.0231i	−0.279520	−	0.580097i
$505$		−	32.9002i		−	1.46404i
$506$	14.4743	−	29.2840i	0.643459	−	1.30183i
$507$	−5.26515			−0.233834
$508$	11.8809	−	5.62451i	0.527130	−	0.249547i
$509$	2.80657	+	9.55830i	0.124399	+	0.423664i	0.998017	−	0.0629487i	$-0.0200505\pi$
$509$	2.80657	+	9.55830i	0.124399	+	0.423664i	−0.873618	+	0.486613i	$0.838232\pi$
$510$	7.06370	+	6.03621i	0.312786	+	0.267288i
$511$	36.7713	+	23.6315i	1.62667	+	1.04540i
$512$	−15.8468	−	16.1517i	−0.700337	−	0.713812i
$513$	3.87937	−	0.557769i	0.171278	−	0.0246261i
$514$	−12.9258	−	3.69903i	−0.570133	−	0.163157i
$515$	−5.60931	+	3.60488i	−0.247176	+	0.158850i
$516$	−8.56689	−	1.11174i	−0.377136	−	0.0489416i
$517$	11.1558	−	24.4278i	0.490631	−	1.07433i
$518$	−0.0671104	+	0.149666i	−0.00294866	+	0.00657593i
$519$	−2.83367	−	0.407420i	−0.124384	−	0.0178838i
$520$	8.35251	+	12.4257i	0.366282	+	0.544901i
$521$	5.96439	−	20.3128i	0.261305	−	0.889921i	−0.719428	−	0.694567i	$-0.755596\pi$
$521$	5.96439	−	20.3128i	0.261305	−	0.889921i	0.980733	−	0.195355i	$-0.0625858\pi$
$522$	5.03075	−	0.758647i	0.220190	−	0.0332051i
$523$	−16.7891	+	14.5479i	−0.734138	+	0.636134i	−0.939499	−	0.342552i	$-0.888709\pi$
$523$	−16.7891	+	14.5479i	−0.734138	+	0.636134i	0.205361	+	0.978686i	$0.434163\pi$
$524$	−6.23273	−	3.88550i	−0.272278	−	0.169739i
$525$	4.61020	−	5.32046i	0.201206	−	0.232204i
$526$	−16.9812	+	5.11319i	−0.740415	+	0.222946i
$527$	−3.16490	−	6.93015i	−0.137865	−	0.301882i
$528$	0.529696	+	19.2580i	0.0230521	+	0.838097i
$529$	13.7159	+	18.4628i	0.596344	+	0.802729i
$530$	−9.46335	+	0.0650576i	−0.411062	+	0.00282592i
$531$	−2.80965	−	6.15227i	−0.121928	−	0.266986i
$532$	−11.8144	−	38.2812i	−0.512221	−	1.65970i
$533$	−15.7871	−	13.6796i	−0.683814	−	0.592528i
$534$	−5.01557	+	7.92361i	−0.217045	+	0.342888i
$535$	3.19410	−	2.76770i	0.138093	−	0.119658i
$536$	−26.1011	+	4.30392i	−1.12740	+	0.185901i
$537$	8.69581	+	2.55332i	0.375252	+	0.110184i
$538$	−15.6145	−	23.9333i	−0.673190	−	1.03184i
$539$	91.1630	+	13.1073i	3.92667	+	0.564570i
$540$	−1.53357	+	3.48404i	−0.0659944	+	0.149929i
$541$	29.3535	+	13.4053i	1.26200	+	0.576338i	0.930215	−	0.367015i	$-0.119620\pi$
$541$	29.3535	+	13.4053i	1.26200	+	0.576338i	0.331789	+	0.943353i	$0.392348\pi$
$542$	−18.5719	−	2.54004i	−0.797730	−	0.109104i
$543$	−0.815965	+	0.524389i	−0.0350164	+	0.0225037i
$544$	4.85426	−	18.9140i	0.208124	−	0.810931i
$545$	−1.00932	−	7.02000i	−0.0432347	−	0.300704i
$546$	15.1016	−	13.2684i	0.646287	−	0.567837i
$547$	25.7590	+	16.5543i	1.10138	+	0.707811i	0.959397	−	0.282058i	$-0.0910172\pi$
$547$	25.7590	+	16.5543i	1.10138	+	0.707811i	0.141979	+	0.989870i	$0.454654\pi$
$548$	25.5326	+	21.5167i	1.09070	+	0.919149i
$549$	−7.90693	+	2.32169i	−0.337460	+	0.0990871i
$550$	−8.50713	+	3.95598i	−0.362745	+	0.168684i
$551$	14.0995			0.600660
$552$	−12.2418	−	5.84275i	−0.521047	−	0.248684i
$553$	−83.4371			−3.54811
$554$	−9.53657	+	4.43469i	−0.405170	+	0.188412i
$555$	0.0414413	−	0.0121683i	0.00175909	−	0.000516514i
$556$	27.0216	−	32.0649i	1.14597	−	1.35986i
$557$	−37.5773	−	24.1495i	−1.59220	−	1.02325i	−0.970841	−	0.239723i	$-0.922943\pi$
$557$	−37.5773	−	24.1495i	−1.59220	−	1.02325i	−0.621362	−	0.783524i	$-0.713420\pi$
$558$	2.34479	−	2.06017i	0.0992630	−	0.0872138i
$559$	−1.70961	−	11.8906i	−0.0723086	−	0.502917i
$560$	37.6226	+	9.93196i	1.58984	+	0.419702i
$561$	−13.9863	+	8.98844i	−0.590502	+	0.379492i
$562$	−8.67840	−	1.18693i	−0.366076	−	0.0500676i
$563$	−10.3604	−	4.73144i	−0.436639	−	0.199406i	0.184953	−	0.982747i	$-0.440787\pi$
$563$	−10.3604	−	4.73144i	−0.436639	−	0.199406i	−0.621592	+	0.783341i	$0.713514\pi$
$564$	−10.2065	−	4.49259i	−0.429771	−	0.189172i
$565$	3.49640	+	0.502707i	0.147095	+	0.0211490i
$566$	13.0023	+	19.9294i	0.546528	+	0.837695i
$567$	4.90399	+	1.43994i	0.205948	+	0.0604719i
$568$	−39.9849	+	6.59327i	−1.67773	+	0.276647i
$569$	19.5036	−	16.8999i	0.817632	−	0.708482i	−0.141961	−	0.989872i	$-0.545341\pi$
$569$	19.5036	−	16.8999i	0.817632	−	0.708482i	0.959594	+	0.281390i	$0.0907954\pi$
$570$	−5.64230	+	8.91374i	−0.236330	+	0.373355i
$571$	33.8634	+	29.3428i	1.41714	+	1.22796i	0.936324	+	0.351138i	$0.114205\pi$
$571$	33.8634	+	29.3428i	1.41714	+	1.22796i	0.480817	+	0.876821i	$0.340340\pi$
$572$	−25.5985	+	7.90028i	−1.07033	+	0.330327i
$573$	−4.05511	−	8.87945i	−0.169405	−	0.370944i
$574$	−54.2888	+	0.373219i	−2.26597	+	0.0155779i
$575$	0.247856	−	6.60117i	0.0103363	−	0.275288i
$576$	7.99320	−	0.329886i	0.333050	−	0.0137453i
$577$	2.82404	+	6.18379i	0.117566	+	0.257434i	0.959262	−	0.282518i	$-0.0911696\pi$
$577$	2.82404	+	6.18379i	0.117566	+	0.257434i	−0.841696	+	0.539952i	$0.818442\pi$
$578$	−6.88490	+	2.07310i	−0.286374	+	0.0862298i
$579$	−1.13777	+	1.31306i	−0.0472841	+	0.0545687i
$580$	−7.24461	+	11.6211i	−0.300816	+	0.482540i
$581$	3.12737	−	2.70988i	0.129745	−	0.112425i
$582$	13.8951	−	2.09541i	0.575972	−	0.0868577i
$583$	4.77071	−	16.2475i	0.197583	−	0.672905i
$584$	−20.0751	+	13.4945i	−0.830715	+	0.558405i
$585$	−5.23953	−	0.753331i	−0.216628	−	0.0311464i
$586$	4.46265	−	9.95233i	0.184350	−	0.411127i
$587$	−13.4390	+	29.4273i	−0.554686	+	1.21459i	0.399873	+	0.916571i	$0.369054\pi$
$587$	−13.4390	+	29.4273i	−0.554686	+	1.21459i	−0.954559	+	0.298023i	$0.903673\pi$
$588$	4.92187	−	37.9271i	0.202974	−	1.56409i
$589$	7.27692	−	4.67659i	0.299840	−	0.192696i
$590$	17.5026	+	5.00878i	0.720569	+	0.206208i
$591$	15.6137	−	2.24491i	0.642262	−	0.0923434i
$592$	−0.0613054	−	0.0669391i	−0.00251963	−	0.00275118i
$593$	14.7867	+	9.50285i	0.607218	+	0.390235i	0.807813	−	0.589439i	$-0.200651\pi$
$593$	14.7867	+	9.50285i	0.607218	+	0.390235i	−0.200595	+	0.979674i	$0.564287\pi$
$594$	−5.17818	−	4.42496i	−0.212463	−	0.181558i
$595$	9.46052	+	32.2196i	0.387844	+	1.32087i
$596$	6.63372	+	14.0127i	0.271728	+	0.573982i
$597$	20.8661			0.853993
$598$	3.25545	−	18.5797i	0.133125	−	0.759780i
$599$		−	11.4905i		−	0.469491i	−0.972057	−	0.234745i	$-0.924574\pi$
$599$		−	11.4905i		−	0.469491i	0.972057	−	0.234745i	$-0.0754256\pi$
$600$	1.69115	+	3.50971i	0.0690411	+	0.143283i
$601$	−14.6997	+	4.31623i	−0.599615	+	0.176063i	−0.567433	−	0.823419i	$-0.692064\pi$
$601$	−14.6997	+	4.31623i	−0.599615	+	0.176063i	−0.0321814	+	0.999482i	$0.510245\pi$
$602$	−23.7350	−	20.2825i	−0.967368	−	0.826654i
$603$	5.05648	−	7.86803i	0.205916	−	0.320411i
$604$	32.1701	−	28.6593i	1.30898	−	1.16613i
$605$	3.30378	+	22.9783i	0.134318	+	0.934199i
$606$	6.72577	−	23.5024i	0.273216	−	0.954719i
$607$	21.6392	+	33.6713i	0.878309	+	1.36668i	0.929825	+	0.368003i	$0.119958\pi$
$607$	21.6392	+	33.6713i	0.878309	+	1.36668i	−0.0515155	+	0.998672i	$0.516405\pi$
$608$	22.0405	+	2.39919i	0.893859	+	0.0972999i
$609$	16.7253	+	7.63820i	0.677744	+	0.309515i
$610$	9.07560	−	20.2399i	0.367460	−	0.819489i
$611$	2.20688	−	15.3492i	0.0892809	−	0.620962i
$612$	3.81199	+	5.75601i	0.154091	+	0.232673i
$613$	10.0009	+	2.93652i	0.403931	+	0.118605i	0.477386	−	0.878694i	$-0.341584\pi$
$613$	10.0009	+	2.93652i	0.403931	+	0.118605i	−0.0734550	+	0.997299i	$0.523403\pi$
$614$	3.65764	+	24.2546i	0.147610	+	0.978834i
$615$	9.36173	+	10.8040i	0.377501	+	0.435660i
$616$	−36.4265	+	59.3365i	−1.46766	+	2.39074i
$617$	−19.8097	−	17.1652i	−0.797509	−	0.691045i	0.157534	−	0.987514i	$-0.449646\pi$
$617$	−19.8097	−	17.1652i	−0.797509	−	0.691045i	−0.955043	+	0.296468i	$0.904191\pi$
$618$	−4.74397	+	1.42845i	−0.190830	+	0.0574607i
$619$	−34.3687	+	15.6957i	−1.38139	+	0.630862i	−0.961017	−	0.276488i	$-0.910830\pi$
$619$	−34.3687	+	15.6957i	−1.38139	+	0.630862i	−0.420377	+	0.907349i	$0.638102\pi$
$620$	0.115510	+	8.40070i	0.00463899	+	0.337380i
$621$	4.43412	−	1.82717i	0.177935	−	0.0733220i
$622$	−0.167435	−	24.3552i	−0.00671351	−	0.976555i
$623$	−30.8284	+	14.0789i	−1.23511	+	0.564057i
$624$	3.42647	+	10.5838i	0.137169	+	0.423691i
$625$	10.6190	−	12.2550i	0.424761	−	0.490200i
$626$	8.42508	−	13.3100i	0.336734	−	0.531974i
$627$	−12.3614	−	14.2658i	−0.493667	−	0.569722i
$628$	6.35663	+	40.2725i	0.253657	+	1.60705i
$629$	0.0220688	−	0.0751596i	0.000879943	−	0.00299681i
$630$	−11.5220	+	7.51713i	−0.459046	+	0.299490i
$631$	0.800227	−	5.56570i	0.0318565	−	0.221567i	−0.967674	−	0.252204i	$-0.918845\pi$
$631$	0.800227	−	5.56570i	0.0318565	−	0.221567i	0.999531	+	0.0306371i	$0.00975361\pi$
$632$	18.3111	−	42.3879i	0.728376	−	1.68610i
$633$	1.30618	−	2.86013i	0.0519159	−	0.113680i
$634$	−27.4569	−	3.75523i	−1.09045	−	0.149139i
$635$	−6.76315	−	10.5237i	−0.268387	−	0.417619i
$636$	−6.77347	−	1.88811i	−0.268586	−	0.0748685i
$637$	52.6416	−	7.56872i	2.08574	−	0.299884i
$638$	−16.1734	−	18.4079i	−0.640311	−	0.728775i
$639$	7.74613	−	12.0532i	0.306432	−	0.476818i
$640$	−13.3023	+	16.9334i	−0.525819	+	0.669352i
$641$	−0.569210	−	1.93855i	−0.0224824	−	0.0765682i	0.947488	−	0.319792i	$-0.103613\pi$
$641$	−0.569210	−	1.93855i	−0.0224824	−	0.0765682i	−0.969970	+	0.243224i	$0.921795\pi$
$642$	2.84751	−	1.32415i	0.112382	−	0.0522599i
$643$			20.8117i			0.820733i	0.911921	+	0.410367i	$0.134599\pi$
$643$			20.8117i			0.820733i	−0.911921	+	0.410367i	$0.865401\pi$
$644$	−25.5158	−	41.8595i	−1.00546	−	1.64950i
$645$			8.22109i			0.323705i
$646$	8.06752	+	17.3488i	0.317412	+	0.682579i
$647$	−1.86452	−	6.34997i	−0.0733018	−	0.249643i	0.914688	−	0.404160i	$-0.132436\pi$
$647$	−1.86452	−	6.34997i	−0.0733018	−	0.249643i	−0.987990	+	0.154517i	$0.950618\pi$
$648$	−1.80775	+	2.17533i	−0.0710151	+	0.0854548i
$649$	−17.6114	+	27.4039i	−0.691308	+	1.07570i
$650$	−4.06983	+	3.57581i	−0.159632	+	0.140255i
$651$	11.1656	−	1.60537i	0.437614	−	0.0629194i
$652$	−0.586622	−	0.163522i	−0.0229739	−	0.00640400i
$653$	−11.3466	−	17.6556i	−0.444026	−	0.690919i	0.545037	−	0.838412i	$-0.316516\pi$
$653$	−11.3466	−	17.6556i	−0.444026	−	0.690919i	−0.989063	+	0.147494i	$0.952879\pi$
$654$	0.714080	−	5.22109i	0.0279228	−	0.204161i
$655$	−2.90358	+	6.35795i	−0.113452	+	0.248426i
$656$	11.7246	−	27.6618i	0.457769	−	1.08001i
$657$	1.21710	−	8.46508i	0.0474834	−	0.330254i
$658$	−22.0214	−	33.7536i	−0.858485	−	1.31585i
$659$	−7.93414	+	27.0212i	−0.309070	+	1.05260i	0.647734	+	0.761866i	$0.275717\pi$
$659$	−7.93414	+	27.0212i	−0.309070	+	1.05260i	−0.956805	+	0.290731i	$0.906102\pi$
$660$	18.1097	−	2.85844i	0.704919	−	0.111265i
$661$	20.9820	+	24.2146i	0.816107	+	0.941837i	0.999148	−	0.0412678i	$-0.0131397\pi$
$661$	20.9820	+	24.2146i	0.816107	+	0.941837i	−0.183041	+	0.983105i	$0.558594\pi$
$662$	−26.7637	−	16.9411i	−1.04020	−	0.658436i
$663$	−6.28688	+	7.25545i	−0.244162	+	0.281778i
$664$	0.690348	+	2.18348i	0.0267907	+	0.0847356i
$665$	−34.6807	+	15.8381i	−1.34486	+	0.614176i
$666$	0.0320913		0.000220618i	0.00124351		8.54876e-6i
$667$	16.7249	−	4.23618i	0.647589	−	0.164026i
$668$	−0.495549	−	36.0399i	−0.0191734	−	1.39442i
$669$	−20.2839	+	9.26335i	−0.784221	+	0.358142i
$670$	7.25841	+	24.1056i	0.280417	+	0.931281i
$671$	29.9957	+	25.9915i	1.15797	+	1.00339i
$672$	24.8454	+	14.7861i	0.958433	+	0.570385i
$673$	−11.7899	−	13.6063i	−0.454469	−	0.524485i	0.481558	−	0.876414i	$-0.340071\pi$
$673$	−11.7899	−	13.6063i	−0.454469	−	0.524485i	−0.936027	+	0.351929i	$0.885526\pi$
$674$	−42.7702	+	6.44983i	−1.64744	+	0.248438i
$675$	−1.32161	−	0.388061i	−0.0508690	−	0.0149365i
$676$	8.77954	−	5.81437i	0.337675	−	0.223630i
$677$	2.63848	−	18.3510i	0.101405	−	0.705288i	−0.874170	−	0.485620i	$-0.838594\pi$
$677$	2.63848	−	18.3510i	0.101405	−	0.705288i	0.975575	−	0.219667i	$-0.0704972\pi$
$678$	2.39490	+	1.07388i	0.0919754	+	0.0412420i
$679$	46.1960	+	21.0970i	1.77284	+	0.809629i
$680$	−18.4444	−	2.26475i	−0.707312	−	0.0868491i
$681$	−12.8460	−	19.9887i	−0.492259	−	0.765969i
$682$	−14.4529	−	4.13604i	−0.553429	−	0.158377i
$683$	−5.99859	−	41.7211i	−0.229530	−	1.59641i	−0.700096	−	0.714049i	$-0.746859\pi$
$683$	−5.99859	−	41.7211i	−0.229530	−	1.59641i	0.470566	−	0.882365i	$-0.344050\pi$
$684$	−5.85282	+	5.21410i	−0.223788	+	0.199366i
$685$	17.1792	−	26.7314i	0.656385	−	1.02135i
$686$	56.9243	−	66.6139i	2.17338	−	2.54333i
$687$	−16.7619	+	4.92173i	−0.639505	+	0.187776i
$688$	15.5128	−	7.60671i	0.591422	−	0.290003i
$689$		−	9.77815i		−	0.372518i
$690$	−4.01478	+	12.2687i	−0.152840	+	0.467061i
$691$	36.0367			1.37090			0.685450	−	0.728120i	$-0.259606\pi$
$691$	36.0367			1.37090			0.685450	+	0.728120i	$0.259606\pi$
$692$	5.17501	−	2.44989i	0.196724	−	0.0931308i
$693$	−6.93522	−	23.6192i	−0.263447	−	0.897219i
$694$	−5.22274	+	6.11175i	−0.198252	+	0.231999i
$695$	−33.5704	−	21.5744i	−1.27340	−	0.818362i
$696$	−7.55090	+	6.82055i	−0.286216	+	0.258532i
$697$	25.6634	−	3.68984i	0.972072	−	0.139763i
$698$	−7.96180	+	27.8215i	−0.301358	+	1.05306i
$699$	1.95361	−	1.25551i	0.0738925	−	0.0474878i
$700$	−1.81198	+	13.9629i	−0.0684866	+	0.527747i
$701$	−3.66720	+	8.03006i	−0.138508	+	0.303291i	−0.966157	−	0.257956i	$-0.916951\pi$
$701$	−3.66720	+	8.03006i	−0.138508	+	0.303291i	0.827648	+	0.561247i	$0.189678\pi$
$702$	−3.58887	−	1.60926i	−0.135453	−	0.0607375i
$703$	0.0880325	+	0.0126572i	0.00332021	+	0.000477374i
$704$	−22.1501	−	31.5274i	−0.834813	−	1.18823i
$705$	−2.98985	+	10.1825i	−0.112604	+	0.383495i
$706$	3.82180	+	25.3432i	0.143835	+	0.953803i
$707$	66.7691	−	57.8557i	2.51111	−	2.17589i
$708$	11.4791	+	7.15607i	0.431410	+	0.268942i
$709$	7.39785	−	8.53758i	0.277832	−	0.320635i	−0.599634	−	0.800275i	$-0.704687\pi$
$709$	7.39785	−	8.53758i	0.277832	−	0.320635i	0.877466	+	0.479639i	$0.159232\pi$
$710$	11.1193	+	36.9279i	0.417301	+	1.38588i
$711$	6.78162	+	14.8497i	0.254331	+	0.556907i
$712$	−0.386775	−	18.7512i	−0.0144950	−	0.702732i
$713$	7.22680	−	7.73371i	0.270646	−	0.289630i
$714$	0.171525	+	24.9501i	0.00641915	+	0.933736i
$715$	10.5909	+	23.1908i	0.396077	+	0.867288i
$716$	−17.3198	+	5.34527i	−0.647270	+	0.199762i
$717$	−10.7296	−	9.29723i	−0.400704	−	0.347212i
$718$	12.6974	+	8.03732i	0.473862	+	0.299950i
$719$	−6.95317	+	6.02495i	−0.259309	+	0.224693i	−0.774807	−	0.632198i	$-0.782153\pi$
$719$	−6.95317	+	6.02495i	−0.259309	+	0.224693i	0.515497	+	0.856891i	$0.327607\pi$
$720$	−1.29026	−	7.50311i	−0.0480852	−	0.279624i
$721$	−17.1800	−	5.04449i	−0.639816	−	0.187867i
$722$	4.31062	−	2.81233i	0.160425	−	0.104664i
$723$	−4.73379	−	0.680616i	−0.176052	−	0.0253124i
$724$	0.781518	−	1.77549i	0.0290449	−	0.0659855i
$725$	−4.50743	−	2.05848i	−0.167402	−	0.0764499i
$726$	−2.33737	+	17.0900i	−0.0867479	+	0.634268i
$727$	−3.42076	+	2.19839i	−0.126869	+	0.0815337i	−0.602536	−	0.798092i	$-0.705843\pi$
$727$	−3.42076	+	2.19839i	−0.126869	+	0.0815337i	0.475667	+	0.879625i	$0.342207\pi$
$728$	−10.5291	+	38.8017i	−0.390234	+	1.43809i
$729$	−0.142315	−	0.989821i	−0.00527092	−	0.0366601i
$730$	15.1939	+	17.2931i	0.562352	+	0.640045i
$731$	12.5432	+	8.06100i	0.463926	+	0.298147i
$732$	10.6208	−	12.6031i	0.392556	−	0.465824i
$733$	−15.8874	+	4.66495i	−0.586813	+	0.172304i	−0.561644	−	0.827379i	$-0.689831\pi$
$733$	−15.8874	+	4.66495i	−0.586813	+	0.172304i	−0.0251696	+	0.999683i	$0.508013\pi$
$734$	13.8483	+	29.7801i	0.511152	+	1.09921i
$735$	−36.3962			−1.34249
$736$	26.8652	−	3.77612i	0.990266	−	0.139189i
$737$	−45.0458			−1.65928
$738$	4.47892	+	9.63169i	0.164871	+	0.354547i
$739$	9.65269	−	2.83429i	0.355080	−	0.104261i	−0.0993276	−	0.995055i	$-0.531669\pi$
$739$	9.65269	−	2.83429i	0.355080	−	0.104261i	0.454408	+	0.890794i	$0.349851\pi$
$740$	−0.0556651	+	0.0660545i	−0.00204629	+	0.00242821i
$741$	−9.16973	−	5.89303i	−0.336859	−	0.216486i
$742$	−16.7735	−	19.0909i	−0.615776	−	0.700849i
$743$	−4.03502	−	28.0642i	−0.148030	−	1.02957i	−0.919439	−	0.393233i	$-0.871356\pi$
$743$	−4.03502	−	28.0642i	−0.148030	−	1.02957i	0.771408	−	0.636341i	$-0.219553\pi$
$744$	−1.63483	+	6.02467i	−0.0599359	+	0.220875i
$745$	12.4119	−	7.97666i	0.454738	−	0.292242i
$746$	0.372793	−	2.72572i	0.0136489	−	0.0997958i
$747$	−0.736477	−	0.336338i	−0.0269463	−	0.0123060i
$748$	13.3958	−	30.4333i	0.489800	−	1.11275i
$749$	11.2338	+	1.61517i	0.410473	+	0.0590171i
$750$	14.3768	−	9.37969i	0.524967	−	0.342498i
$751$	13.6474	+	4.00724i	0.498001	+	0.146226i	0.521081	−	0.853507i	$-0.325529\pi$
$751$	13.6474	+	4.00724i	0.498001	+	0.146226i	−0.0230797	+	0.999734i	$0.507347\pi$
$752$	21.9804	−	3.77982i	0.801541	−	0.137836i
$753$	16.7795	−	14.5395i	0.611480	−	0.529851i
$754$	−11.9556	−	7.56779i	−0.435399	−	0.275603i
$755$	−30.9869	−	26.8503i	−1.12773	−	0.977183i
$756$	−9.76746	+	3.01446i	−0.355239	+	0.109635i
$757$	18.2932	+	40.0565i	0.664877	+	1.45588i	0.877907	+	0.478831i	$0.158939\pi$
$757$	18.2932	+	40.0565i	0.664877	+	1.45588i	−0.213030	+	0.977046i	$0.568333\pi$
$758$	−0.234990	−	34.1818i	−0.00853520	−	1.24154i
$759$	−18.9493	−	13.2082i	−0.687814	−	0.479426i
$760$	−0.435106	−	21.0944i	−0.0157830	−	0.765173i
$761$	−6.63808	−	14.5354i	−0.240630	−	0.526906i	0.750330	−	0.661063i	$-0.229895\pi$
$761$	−6.63808	−	14.5354i	−0.240630	−	0.526906i	−0.990960	+	0.134157i	$0.957167\pi$
$762$	−2.67993	−	8.90020i	−0.0970836	−	0.322420i
$763$	12.4718	−	14.3932i	0.451508	−	0.521068i
$764$	16.5675	+	10.3282i	0.599391	+	0.373662i
$765$	4.96533	−	4.30248i	0.179522	−	0.155557i
$766$	2.76007	+	18.3026i	0.0997255	+	0.661301i
$767$	−5.29947	+	18.0483i	−0.191353	+	0.651688i
$768$	−12.9642	+	9.37706i	−0.467806	+	0.338365i
$769$	2.11220	+	0.303689i	0.0761679	+	0.0109513i	0.180293	−	0.983613i	$-0.442295\pi$
$769$	2.11220	+	0.303689i	0.0761679	+	0.0109513i	−0.104126	+	0.994564i	$0.533204\pi$
$770$	60.4595	+	27.1102i	2.17881	+	0.976983i
$771$	−3.94928	+	8.64771i	−0.142230	+	0.311440i
$772$	0.447187	−	3.44595i	0.0160946	−	0.124022i
$773$	−18.7028	+	12.0196i	−0.672694	+	0.432314i	−0.831896	−	0.554932i	$-0.812744\pi$
$773$	−18.7028	+	12.0196i	−0.672694	+	0.432314i	0.159202	+	0.987246i	$0.449108\pi$
$774$	−1.68063	+	5.87276i	−0.0604091	+	0.211092i
$775$	−3.00910	+	0.432643i	−0.108090	+	0.0155410i
$776$	−20.8559	+	18.8386i	−0.748683	+	0.676267i
$777$	0.0975702	+	0.0627046i	0.00350031	+	0.00224951i
$778$	−10.3966	+	12.1663i	−0.372735	+	0.436182i
$779$	8.29351	+	28.2451i	0.297146	+	1.01199i
$780$	9.56873	−	4.52991i	0.342616	−	0.162197i
$781$	−69.0067			−2.46925
$782$	14.7821	+	18.1552i	0.528607	+	0.649230i
$783$		−	3.59750i		−	0.128564i
$784$	33.6763	+	68.6781i	1.20272	+	2.45279i
$785$	37.2283	−	10.9312i	1.32874	−	0.390152i
$786$	−3.37393	+	3.94824i	−0.120344	+	0.140829i
$787$	−1.07005	+	1.66503i	−0.0381431	+	0.0593518i	−0.859801	−	0.510628i	$-0.829413\pi$
$787$	−1.07005	+	1.66503i	−0.0381431	+	0.0593518i	0.821658	+	0.569980i	$0.193049\pi$
$788$	−23.5565	+	20.9858i	−0.839165	+	0.747586i
$789$	1.78463	+	12.4124i	0.0635347	+	0.441893i
$790$	−42.2458	−	12.0897i	−1.50304	−	0.430130i
$791$	5.12828	+	7.97976i	0.182341	+	0.283728i
$792$	13.5211	+	1.66022i	0.480450	+	0.0589932i
$793$	20.8477	+	9.52082i	0.740323	+	0.338094i
$794$	13.2322	+	5.93336i	0.469594	+	0.210567i
$795$	−0.952337	+	6.62365i	−0.0337759	+	0.234917i
$796$	−34.7939	+	23.0427i	−1.23324	+	0.816727i
$797$	11.2679	+	3.30854i	0.399128	+	0.117195i	0.475136	−	0.879913i	$-0.342399\pi$
$797$	11.2679	+	3.30854i	0.399128	+	0.117195i	−0.0760072	+	0.997107i	$0.524217\pi$
$798$	−28.0120	+	4.22427i	−0.991614	+	0.149537i
$799$	12.6041	+	14.5459i	0.445901	+	0.514598i
$800$	−6.69578	−	3.98481i	−0.236732	−	0.140884i
$801$	5.01135	+	4.34236i	0.177067	+	0.153430i
$802$	13.4719	+	44.7411i	0.475711	+	1.57986i
$803$	−37.4676	+	17.1109i	−1.32220	+	0.603829i
$804$	0.257177	+	18.7037i	0.00906993	+	0.659630i
$805$	−36.3796	+	29.2069i	−1.28221	+	1.02941i
$806$	−8.68055	+	0.0596761i	−0.305759	+	0.00210200i
$807$	−18.3806	+	8.39415i	−0.647028	+	0.295488i
$808$	14.7388	+	46.6171i	0.518511	+	1.63998i
$809$	−1.95488	+	2.25605i	−0.0687299	+	0.0793186i	−0.789073	−	0.614299i	$-0.789439\pi$
$809$	−1.95488	+	2.25605i	−0.0687299	+	0.0793186i	0.720343	+	0.693618i	$0.243984\pi$
$810$	2.27434	+	1.43964i	0.0799122	+	0.0505836i
$811$	8.56313	+	9.88238i	0.300692	+	0.347017i	0.885909	−	0.463860i	$-0.153536\pi$
$811$	8.56313	+	9.88238i	0.300692	+	0.347017i	−0.585216	+	0.810877i	$0.698990\pi$
$812$	−36.3241	+	5.73341i	−1.27473	+	0.201203i
$813$	−3.73424	+	12.7176i	−0.130965	+	0.446027i
$814$	−0.0844563	−	0.129451i	−0.00296019	−	0.00453726i
$815$	−0.0824779	+	0.573647i	−0.00288908	+	0.0200940i
$816$	−12.7129	−	5.38841i	−0.445039	−	0.188632i
$817$	−7.03244	+	15.3989i	−0.246034	+	0.538739i
$818$	−5.18700	+	37.9254i	−0.181359	+	1.32603i
$819$	−7.68498	−	11.9581i	−0.268535	−	0.417849i
$820$	−27.5415	−	7.67723i	−0.961791	−	0.268100i
$821$	5.18438	−	0.745402i	0.180936	−	0.0260147i	−0.0512510	−	0.998686i	$-0.516321\pi$
$821$	5.18438	−	0.745402i	0.180936	−	0.0260147i	0.232187	+	0.972671i	$0.425412\pi$
$822$	17.7367	−	15.5837i	0.618639	−	0.543544i
$823$	6.67009	−	10.3789i	0.232505	−	0.361784i	−0.705323	−	0.708886i	$-0.749198\pi$
$823$	6.67009	−	10.3789i	0.232505	−	0.361784i	0.937827	+	0.347102i	$0.112834\pi$
$824$	6.33302	−	7.62073i	0.220621	−	0.265481i
$825$	1.86903	+	6.36532i	0.0650711	+	0.221612i
$826$	20.6136	+	44.3285i	0.717239	+	1.54238i
$827$		−	19.2059i		−	0.667853i	−0.942599	−	0.333927i	$-0.891626\pi$
$827$		−	19.2059i		−	0.667853i	0.942599	−	0.333927i	$-0.108374\pi$
$828$	−5.37605	+	7.94343i	−0.186831	+	0.276053i
$829$			12.1643i			0.422485i	0.977434	+	0.211243i	$0.0677510\pi$
$829$			12.1643i			0.422485i	−0.977434	+	0.211243i	$0.932249\pi$
$830$	1.97610	−	0.918923i	0.0685913	−	0.0318963i
$831$	2.09519	+	7.13558i	0.0726815	+	0.247530i
$832$	−17.4014	−	13.8644i	−0.603285	−	0.480662i
$833$	−35.6875	+	55.5308i	−1.23650	+	1.92403i
$834$	−19.5706	−	22.2745i	−0.677676	−	0.771302i
$835$	−33.9516	+	4.88151i	−1.17494	+	0.168932i
$836$	36.3664	+	10.1372i	1.25776	+	0.350601i
$837$	−1.19323	−	1.85671i	−0.0412442	−	0.0641772i
$838$	−4.25886	−	0.582477i	−0.147120	−	0.0201213i
$839$	8.85409	−	19.3878i	0.305677	−	0.669340i	−0.692990	−	0.720947i	$-0.743707\pi$
$839$	8.85409	−	19.3878i	0.305677	−	0.669340i	0.998667	+	0.0516073i	$0.0164344\pi$
$840$	10.9114	−	25.2585i	0.376479	−	0.871502i
$841$	−2.28529	+	15.8946i	−0.0788032	+	0.548088i
$842$	−16.3155	+	10.6445i	−0.562270	+	0.366835i
$843$	−1.74496	+	5.94279i	−0.0600997	+	0.204681i
$844$	0.980448	+	6.21164i	0.0337484	+	0.213813i
$845$	−6.56250	−	7.57353i	−0.225757	−	0.260537i
$846$	−4.21741	+	6.66268i	−0.144997	+	0.229068i
$847$	−40.8233	+	47.1125i	−1.40270	+	1.61881i
$848$	13.3797	−	4.33163i	0.459461	−	0.148749i
$849$	15.3056	−	6.98985i	0.525288	−	0.239891i
$850$	−0.0462255	−	6.72401i	−0.00158552	−	0.230631i
$851$	0.108227	−	0.0114353i	0.00370997	−	0.000391998i
$852$	0.393975	+	28.6527i	0.0134974	+	0.981624i
$853$	17.4470	−	7.96779i	0.597375	−	0.272812i	−0.0936940	−	0.995601i	$-0.529868\pi$
$853$	17.4470	−	7.96779i	0.597375	−	0.272812i	0.691069	+	0.722789i	$0.257140\pi$
$854$	57.0353	−	17.1738i	1.95171	−	0.587676i
$855$	5.63756	+	4.88498i	0.192801	+	0.167063i
$856$	−3.28590	+	5.35253i	−0.112310	+	0.182946i
$857$	5.74085	+	6.62529i	0.196104	+	0.226316i	0.845282	−	0.534321i	$-0.179433\pi$
$857$	5.74085	+	6.62529i	0.196104	+	0.226316i	−0.649178	+	0.760636i	$0.724887\pi$
$858$	2.82475	+	18.7315i	0.0964355	+	0.639484i
$859$	−12.2997	−	3.61151i	−0.419659	−	0.123223i	0.0650836	−	0.997880i	$-0.479269\pi$
$859$	−12.2997	−	3.61151i	−0.419659	−	0.123223i	−0.484743	+	0.874657i	$0.661087\pi$
$860$	−9.07865	−	13.7085i	−0.309579	−	0.467457i
$861$	−5.46331	+	37.9981i	−0.186189	+	1.29497i
$862$	−0.401985	+	0.896483i	−0.0136917	+	0.0305343i
$863$	−32.5789	−	14.8783i	−1.10900	−	0.506462i	−0.225191	−	0.974315i	$-0.572301\pi$
$863$	−32.5789	−	14.8783i	−1.10900	−	0.506462i	−0.883807	+	0.467852i	$0.845028\pi$
$864$	0.612153	−	5.62363i	0.0208259	−	0.191320i
$865$	−2.94585	−	4.58383i	−0.100162	−	0.155855i
$866$	8.08377	−	28.2477i	0.274698	−	0.959897i
$867$	0.723567	+	5.03252i	0.0245736	+	0.170913i
$868$	−16.8456	+	15.0072i	−0.571777	+	0.509378i
$869$	42.5085	−	66.1445i	1.44200	−	2.24380i
$870$	7.36160	+	6.29078i	0.249582	+	0.213277i
$871$	−24.9578	+	7.32828i	−0.845664	+	0.248309i
$872$	4.57500	+	9.49464i	0.154929	+	0.321529i
$873$		−	9.93644i		−	0.336297i
$874$	−18.0149	+	19.5461i	−0.609362	+	0.661158i
$875$	62.0386			2.09729
$876$	7.31861	+	15.4594i	0.247273	+	0.522325i
$877$	−8.47076	−	28.8488i	−0.286037	−	0.974154i	−0.969688	−	0.244345i	$-0.921427\pi$
$877$	−8.47076	−	28.8488i	−0.286037	−	0.974154i	0.683651	−	0.729809i	$-0.260391\pi$
$878$	26.0705	+	22.2783i	0.879836	+	0.751855i
$879$	−6.48813	−	4.16967i	−0.218839	−	0.140640i
$880$	−27.0410	+	24.7652i	−0.911551	+	0.834833i
$881$	23.8373	−	3.42728i	0.803098	−	0.115468i	0.271471	−	0.962447i	$-0.412490\pi$
$881$	23.8373	−	3.42728i	0.803098	−	0.115468i	0.531627	+	0.846979i	$0.321581\pi$
$882$	−25.9997	−	7.44045i	−0.875456	−	0.250533i
$883$	−21.5156	+	13.8272i	−0.724058	+	0.465324i	−0.850046	−	0.526708i	$-0.823426\pi$
$883$	−21.5156	+	13.8272i	−0.724058	+	0.465324i	0.125988	+	0.992032i	$0.459790\pi$
$884$	2.47098	−	19.0410i	0.0831082	−	0.640418i
$885$	5.34763	−	11.7097i	0.179759	−	0.393617i
$886$	3.12848	−	6.97696i	0.105103	−	0.234396i
$887$	−9.82175	−	1.41215i	−0.329782	−	0.0474155i	−0.0245647	−	0.999698i	$-0.507820\pi$
$887$	−9.82175	−	1.41215i	−0.329782	−	0.0474155i	−0.305217	+	0.952283i	$0.598729\pi$
$888$	−0.0532680	+	0.0358066i	−0.00178756	+	0.00120159i
$889$	9.46402	−	32.2315i	0.317413	−	1.08101i
$890$	−17.6489	+	2.66150i	−0.591594	+	0.0892136i
$891$	−3.63993	+	3.15402i	−0.121942	+	0.105664i
$892$	23.5934	−	37.8462i	0.789966	−	1.26719i
$893$	−14.3105	+	16.5152i	−0.478884	+	0.552661i
$894$	10.4972	−	3.16079i	0.351078	−	0.105713i
$895$	7.16573	+	15.6907i	0.239524	+	0.524484i
$896$	−57.7577	+	2.78157i	−1.92955	+	0.0929257i
$897$	−12.6477	−	4.23528i	−0.422294	−	0.141412i
$898$	30.4157	−	0.209099i	1.01499	−	0.00697771i
$899$	−3.29837	−	7.22243i	−0.110007	−	0.240881i
$900$	2.63231	−	0.812390i	0.0877436	−	0.0270797i
$901$	9.17210	+	7.94767i	0.305567	+	0.264775i
$902$	27.3625	−	43.2274i	0.911071	−	1.43931i
$903$	−16.6842	+	14.4570i	−0.555216	+	0.481097i
$904$	−5.17934	+	0.854042i	−0.172262	+	0.0284050i
$905$	−1.77132	−	0.520105i	−0.0588806	−	0.0172889i
$906$	−16.6466	−	25.5152i	−0.553046	−	0.847687i
$907$	−39.4479	−	5.67175i	−1.30985	−	0.188327i	−0.548214	−	0.836338i	$-0.684692\pi$
$907$	−39.4479	−	5.67175i	−1.30985	−	0.188327i	−0.761631	+	0.648011i	$0.775601\pi$
$908$	43.4942	+	19.1449i	1.44341	+	0.635345i
$909$	−15.7237	−	7.18078i	−0.521523	−	0.238171i
$910$	37.9083	+	5.18466i	1.25665	+	0.171870i
$911$	−24.8755	+	15.9865i	−0.824163	+	0.529657i	−0.883418	−	0.468586i	$-0.844764\pi$
$911$	−24.8755	+	15.9865i	−0.824163	+	0.529657i	0.0592554	+	0.998243i	$0.481127\pi$
$912$	4.00148	−	15.1578i	0.132502	−	0.501923i
$913$	0.554957	+	3.85981i	0.0183664	+	0.127741i
$914$	−15.3235	+	13.4635i	−0.506857	+	0.445332i
$915$	−13.1948	−	8.47978i	−0.436207	−	0.280333i
$916$	22.5150	−	26.7172i	0.743916	−	0.882762i
$917$	−18.0091	+	5.28794i	−0.594712	+	0.174623i
$918$	4.42655	−	2.05843i	0.146098	−	0.0679383i
$919$	33.9674			1.12048			0.560240	−	0.828330i	$-0.310709\pi$
$919$	33.9674			1.12048			0.560240	+	0.828330i	$0.310709\pi$
$920$	−6.85389	−	24.8914i	−0.225966	−	0.820645i
$921$	17.3445			0.571520
$922$	−29.1037	+	13.5338i	−0.958479	+	0.445711i
$923$	−38.2335	+	11.2264i	−1.25847	+	0.369520i
$924$	37.6473	+	31.7259i	1.23851	+	1.04371i
$925$	−0.0262949	−	0.0168987i	−0.000864572	−	0.000555627i
$926$	35.6129	−	31.2900i	1.17031	−	1.02825i
$927$	0.498566	+	3.46760i	0.0163751	+	0.113891i
$928$	5.05898	−	19.7117i	0.166069	−	0.647068i
$929$	−7.11824	+	4.57461i	−0.233542	+	0.150088i	−0.652178	−	0.758066i	$-0.726145\pi$
$929$	−7.11824	+	4.57461i	−0.233542	+	0.150088i	0.418636	+	0.908154i	$0.362508\pi$
$930$	5.88596	+	0.805013i	0.193008	+	0.0263974i
$931$	−68.1736	−	31.1338i	−2.23430	−	1.02037i
$932$	−1.87114	+	4.25094i	−0.0612912	+	0.139244i
$933$	−17.0468	−	2.45097i	−0.558089	−	0.0802410i
$934$	−30.2898	−	46.4269i	−0.991112	−	1.51914i
$935$	−30.3618	−	8.91502i	−0.992936	−	0.291552i
$936$	7.76150	−	1.27982i	0.253692	−	0.0418324i
$937$	13.3415	−	11.5605i	0.435849	−	0.377665i	−0.409120	−	0.912481i	$-0.634164\pi$
$937$	13.3415	−	11.5605i	0.435849	−	0.377665i	0.844969	+	0.534815i	$0.179619\pi$
$938$	−36.1568	+	57.1207i	−1.18056	+	1.86506i
$939$	−8.41801	−	7.29424i	−0.274711	−	0.238039i
$940$	−6.25913	−	20.2809i	−0.204150	−	0.661489i
$941$	2.61693	+	5.73028i	0.0853095	+	0.186802i	0.947479	−	0.319818i	$-0.103622\pi$
$941$	2.61693	+	5.73028i	0.0853095	+	0.186802i	−0.862169	+	0.506620i	$0.830895\pi$
$942$	28.8288	−	0.198189i	0.939294	−	0.00645736i
$943$	18.3240	+	31.0126i	0.596710	+	1.00991i
$944$	−27.0437	+	0.743843i	−0.880196	+	0.0242100i
$945$	4.04110	+	8.84878i	0.131457	+	0.287851i
$946$	28.1711	−	8.48258i	0.915922	−	0.275792i
$947$	−3.22548	+	3.72240i	−0.104814	+	0.120962i	−0.805733	−	0.592279i	$-0.798228\pi$
$947$	−3.22548	+	3.72240i	−0.104814	+	0.120962i	0.700919	+	0.713241i	$0.252774\pi$
$948$	−27.7069	−	17.2725i	−0.899879	−	0.560986i
$949$	−17.9754	+	15.5758i	−0.583506	+	0.505610i
$950$	7.54917	−	1.13843i	0.244927	−	0.0369355i
$951$	−5.52074	+	18.8019i	−0.179022	+	0.609694i
$952$	−27.8388	−	41.4145i	−0.902259	−	1.34225i
$953$	2.94967	+	0.424098i	0.0955491	+	0.0137379i	0.189924	−	0.981799i	$-0.439176\pi$
$953$	2.94967	+	0.424098i	0.0955491	+	0.0137379i	−0.0943744	+	0.995537i	$0.530085\pi$
$954$	−2.03437	+	4.53693i	−0.0658652	+	0.146889i
$955$	7.71813	−	16.9004i	0.249753	−	0.546883i
$956$	28.1584	+	3.65417i	0.910709	+	0.118184i
$957$	−14.5761	+	9.36752i	−0.471180	+	0.302809i
$958$	−45.4957	−	13.0197i	−1.46990	−	0.420648i
$959$	84.4598	−	12.1435i	2.72735	−	0.392134i
$960$	10.4373	+	11.0864i	0.336861	+	0.357814i
$961$	21.9810	+	14.1263i	0.709063	+	0.455687i
$962$	−0.0678532	−	0.0579832i	−0.00218767	−	0.00186945i
$963$	−0.625601	−	2.13060i	−0.0201597	−	0.0686577i
$964$	8.64512	−	4.09266i	0.278441	−	0.131816i
$965$	−3.30685			−0.106451
$966$	−31.9586	+	13.4270i	−1.02825	+	0.432006i
$967$			20.5497i			0.660834i	0.943835	+	0.330417i	$0.107189\pi$
$967$			20.5497i			0.660834i	−0.943835	+	0.330417i	$0.892811\pi$
$968$	−14.9751	−	31.0784i	−0.481319	−	0.998898i
$969$	12.9809	−	3.81155i	0.417008	−	0.122445i
$970$	20.3330	+	17.3754i	0.652855	+	0.557890i
$971$	−13.9951	+	21.7768i	−0.449123	+	0.698849i	−0.989813	−	0.142373i	$-0.954527\pi$
$971$	−13.9951	+	21.7768i	−0.449123	+	0.698849i	0.540690	+	0.841222i	$0.318163\pi$
$972$	1.33038	+	1.49335i	0.0426719	+	0.0478992i
$973$	−15.2503	−	106.068i	−0.488901	−	3.40038i
$974$	16.0860	−	56.2106i	0.515429	−	1.80110i
$975$	2.07108	+	3.22267i	0.0663278	+	0.103208i
$976$	−3.79226	+	32.7441i	−0.121387	+	1.04811i
$977$	−6.35344	−	2.90152i	−0.203264	−	0.0928278i	0.311182	−	0.950350i	$-0.399275\pi$
$977$	−6.35344	−	2.90152i	−0.203264	−	0.0928278i	−0.514446	+	0.857523i	$0.672002\pi$
$978$	−0.176189	+	0.392925i	−0.00563389	+	0.0125644i
$979$	4.54509	−	31.6118i	0.145262	−	1.01032i
$980$	60.6900	−	40.1928i	1.93867	−	1.28391i
$981$	−3.57530	−	1.04980i	−0.114151	−	0.0335176i
$982$	−8.18771	−	54.2944i	−0.261280	−	1.73261i
$983$	−32.8337	−	37.8921i	−1.04723	−	1.20857i	−0.977485	−	0.211004i	$-0.932327\pi$
$983$	−32.8337	−	37.8921i	−1.04723	−	1.20857i	−0.0697461	−	0.997565i	$-0.522219\pi$
$984$	−18.1049	−	11.1145i	−0.577163	−	0.354319i
$985$	22.6901	+	19.6611i	0.722967	+	0.626455i
$986$	16.8163	−	5.06353i	0.535539	−	0.161256i
$987$	−25.9225	+	11.8384i	−0.825122	+	0.376821i
$988$	21.7981	−	0.299725i	0.693490	−	0.00953551i
$989$	−3.71530	+	20.3790i	−0.118140	+	0.648016i
$990$	−0.0891216	−	12.9637i	−0.00283247	−	0.412014i
$991$	−7.95030	+	3.63078i	−0.252549	+	0.115335i	−0.537668	−	0.843157i	$-0.680694\pi$
$991$	−7.95030	+	3.63078i	−0.252549	+	0.115335i	0.285118	+	0.958492i	$0.407967\pi$
$992$	−3.92706	−	11.8514i	−0.124684	−	0.376282i
$993$	−14.6673	+	16.9269i	−0.465451	+	0.537159i
$994$	−55.3894	+	87.5045i	−1.75685	+	2.77547i
$995$	26.0076	+	30.0144i	0.824496	+	0.951519i
$996$	1.59948	−	0.252463i	0.0506816	−	0.00799960i
$997$	−9.30210	+	31.6800i	−0.294600	+	1.00332i	0.670603	+	0.741817i	$0.266035\pi$
$997$	−9.30210	+	31.6800i	−0.294600	+	1.00332i	−0.965203	+	0.261500i	$0.915783\pi$
$998$	43.2325	−	28.2057i	1.36850	−	0.892836i
$999$	0.00322948	−	0.0224615i	0.000102176	−	0.000710651i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	552.2.t.a.19.16	yes	240
8.3	odd	2	inner	552.2.t.a.19.15	✓	240
23.17	odd	22	inner	552.2.t.a.523.15	yes	240
184.155	even	22	inner	552.2.t.a.523.16	yes	240

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
552.2.t.a.19.15	✓	240	8.3	odd	2	inner
552.2.t.a.19.16	yes	240	1.1	even	1	trivial
552.2.t.a.523.15	yes	240	23.17	odd	22	inner
552.2.t.a.523.16	yes	240	184.155	even	22	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 552 = 2^{3} \cdot 3 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	552.t (of order \(22\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(0.596315 + 1.28234i) q^{2} +(0.959493 - 0.281733i) q^{3} +(-1.28882 + 1.52936i) q^{4} +(1.60117 + 1.02901i) q^{5} +(0.933438 + 1.06240i) q^{6} +(0.727375 + 5.05900i) q^{7} +(-2.72971 - 0.740725i) q^{8} +(0.841254 - 0.540641i) q^{9} +O(q^{10})\)	\(q+(0.596315 + 1.28234i) q^{2} +(0.959493 - 0.281733i) q^{3} +(-1.28882 + 1.52936i) q^{4} +(1.60117 + 1.02901i) q^{5} +(0.933438 + 1.06240i) q^{6} +(0.727375 + 5.05900i) q^{7} +(-2.72971 - 0.740725i) q^{8} +(0.841254 - 0.540641i) q^{9} +(-0.364742 + 2.66686i) q^{10} +(-4.38108 - 2.00077i) q^{11} +(-0.805739 + 1.83051i) q^{12} +(-2.75285 - 0.395800i) q^{13} +(-6.05364 + 3.94950i) q^{14} +(1.82621 + 0.536225i) q^{15} +(-0.677904 - 3.94214i) q^{16} +(2.60879 - 2.26053i) q^{17} +(1.19494 + 0.756385i) q^{18} +(2.96198 + 2.56657i) q^{19} +(-3.63734 + 1.12256i) q^{20} +(2.12320 + 4.64915i) q^{21} +(-0.0468245 - 6.81114i) q^{22} +(4.28462 + 2.15454i) q^{23} +(-2.82783 + 0.0583286i) q^{24} +(-0.572196 - 1.25294i) q^{25} +(-1.13401 - 3.76613i) q^{26} +(0.654861 - 0.755750i) q^{27} +(-8.67450 - 5.40771i) q^{28} +(2.71881 - 2.35586i) q^{29} +(0.401374 + 2.66159i) q^{30} +(0.621804 - 2.11767i) q^{31} +(4.65093 - 3.22006i) q^{32} +(-4.76730 - 0.685434i) q^{33} +(4.45443 + 1.99738i) q^{34} +(-4.04110 + 8.84878i) q^{35} +(-0.257385 + 1.98337i) q^{36} +(0.0190901 - 0.0122685i) q^{37} +(-1.52495 + 5.32876i) q^{38} +(-2.75285 + 0.395800i) q^{39} +(-3.60851 - 3.99492i) q^{40} +(6.31865 + 4.06075i) q^{41} +(-4.69572 + 5.49503i) q^{42} +(1.21691 + 4.14440i) q^{43} +(8.70631 - 4.12163i) q^{44} +1.90331 q^{45} +(-0.207881 + 6.77914i) q^{46} +5.57574i q^{47} +(-1.76107 - 3.59147i) q^{48} +(-18.3480 + 5.38745i) q^{49} +(1.26549 - 1.48090i) q^{50} +(1.86625 - 2.90394i) q^{51} +(4.15324 - 3.70000i) q^{52} +(0.500358 + 3.48007i) q^{53} +(1.35963 + 0.389092i) q^{54} +(-4.95603 - 7.71173i) q^{55} +(1.76180 - 14.3484i) q^{56} +(3.56508 + 1.62812i) q^{57} +(4.64229 + 2.08161i) q^{58} +(0.962543 - 6.69463i) q^{59} +(-3.17374 + 2.10185i) q^{60} +(-7.90693 - 2.32169i) q^{61} +(3.08638 - 0.465432i) q^{62} +(3.34701 + 3.86266i) q^{63} +(6.90265 + 4.04393i) q^{64} +(-4.00049 - 3.46645i) q^{65} +(-1.96385 - 6.52205i) q^{66} +(8.50756 - 3.88527i) q^{67} +(0.0949190 + 6.90318i) q^{68} +(4.71807 + 0.860150i) q^{69} +(-13.7570 + 0.0945748i) q^{70} +(13.0329 - 5.95194i) q^{71} +(-2.69685 + 0.852656i) q^{72} +(5.60045 - 6.46327i) q^{73} +(0.0271162 + 0.0171643i) q^{74} +(-0.902011 - 1.04098i) q^{75} +(-7.74266 + 1.22210i) q^{76} +(6.93522 - 23.6192i) q^{77} +(-2.14912 - 3.29408i) q^{78} +(-2.32328 + 16.1588i) q^{79} +(2.97105 - 7.00959i) q^{80} +(0.415415 - 0.909632i) q^{81} +(-1.43938 + 10.5242i) q^{82} +(-0.437726 - 0.681115i) q^{83} +(-9.84665 - 2.74476i) q^{84} +(6.50320 - 0.935019i) q^{85} +(-4.58889 + 4.03186i) q^{86} +(1.94495 - 3.02641i) q^{87} +(10.4771 + 8.70670i) q^{88} +(1.86816 + 6.36237i) q^{89} +(1.13497 + 2.44070i) q^{90} -14.2146i q^{91} +(-8.81716 + 3.77593i) q^{92} -2.20707i q^{93} +(-7.15003 + 3.32490i) q^{94} +(2.10160 + 7.15740i) q^{95} +(3.55534 - 4.39995i) q^{96} +(5.37204 - 8.35906i) q^{97} +(-17.8498 - 20.3158i) q^{98} +(-4.76730 + 0.685434i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 240 q + 24 q^{3} - 4 q^{4} + 11 q^{6} - 24 q^{9}+O(q^{10}) \) 240 * q + 24 * q^3 - 4 * q^4 + 11 * q^6 - 24 * q^9	\( 240 q + 24 q^{3} - 4 q^{4} + 11 q^{6} - 24 q^{9} + 4 q^{12} - 4 q^{16} + 44 q^{17} - 55 q^{20} - 24 q^{25} + 24 q^{27} + 33 q^{34} + 7 q^{36} - 132 q^{38} + 11 q^{40} - 66 q^{42} + 77 q^{44} + 37 q^{48} - 56 q^{49} - 37 q^{50} - 55 q^{52} - 11 q^{54} + 132 q^{56} + 37 q^{58} + 11 q^{60} + 51 q^{62} - 4 q^{64} - 55 q^{66} - 132 q^{70} + 144 q^{73} + 44 q^{74} + 24 q^{75} - 55 q^{76} - 198 q^{80} - 24 q^{81} - 26 q^{82} + 44 q^{84} - 110 q^{86} + 22 q^{88} - 139 q^{92} - 117 q^{94} - 209 q^{98}+O(q^{100}) \) 240 * q + 24 * q^3 - 4 * q^4 + 11 * q^6 - 24 * q^9 + 4 * q^12 - 4 * q^16 + 44 * q^17 - 55 * q^20 - 24 * q^25 + 24 * q^27 + 33 * q^34 + 7 * q^36 - 132 * q^38 + 11 * q^40 - 66 * q^42 + 77 * q^44 + 37 * q^48 - 56 * q^49 - 37 * q^50 - 55 * q^52 - 11 * q^54 + 132 * q^56 + 37 * q^58 + 11 * q^60 + 51 * q^62 - 4 * q^64 - 55 * q^66 - 132 * q^70 + 144 * q^73 + 44 * q^74 + 24 * q^75 - 55 * q^76 - 198 * q^80 - 24 * q^81 - 26 * q^82 + 44 * q^84 - 110 * q^86 + 22 * q^88 - 139 * q^92 - 117 * q^94 - 209 * q^98

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

Related objects

Downloads

Learn more