LMFDB - Embedded newform 504.2.cq.a.277.6

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [504,2,Mod(277,504)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(504, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([0, 3, 4, 4]))

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

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

chi := DirichletCharacter("504.277");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 504 = 2^{3} \cdot 3^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	504.cq (of order $6$, degree $2$, 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:	$4.02446026187$
Analytic rank:	$0$
Dimension:	$184$
Relative dimension:	$92$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			277.6
Character	$\chi$	$=$	504.277
Dual form			504.2.cq.a.373.5

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.38793 + 0.271374i) q^{2} +(-1.73202 - 0.00998187i) q^{3} +(1.85271 - 0.753297i) q^{4} +(1.80782 + 1.04374i) q^{5} +(2.40664 - 0.456171i) q^{6} +(2.62626 - 0.320557i) q^{7} +(-2.36702 + 1.54830i) q^{8} +(2.99980 + 0.0345777i) q^{9} +O(q^{10})$	\(q+(-1.38793 + 0.271374i) q^{2} +(-1.73202 - 0.00998187i) q^{3} +(1.85271 - 0.753297i) q^{4} +(1.80782 + 1.04374i) q^{5} +(2.40664 - 0.456171i) q^{6} +(2.62626 - 0.320557i) q^{7} +(-2.36702 + 1.54830i) q^{8} +(2.99980 + 0.0345777i) q^{9} +(-2.79237 - 0.958051i) q^{10} +(-1.83042 + 1.05679i) q^{11} +(-3.21646 + 1.28623i) q^{12} +(2.75145 - 1.58855i) q^{13} +(-3.55808 + 1.15761i) q^{14} +(-3.12076 - 1.82583i) q^{15} +(2.86509 - 2.79128i) q^{16} +(0.969083 - 1.67850i) q^{17} +(-4.17290 + 0.766075i) q^{18} +(-3.54295 + 2.04552i) q^{19} +(4.13561 + 0.571934i) q^{20} +(-4.55194 + 0.528997i) q^{21} +(2.25371 - 1.96349i) q^{22} +(0.542573 - 0.939764i) q^{23} +(4.11518 - 2.65807i) q^{24} +(-0.321202 - 0.556338i) q^{25} +(-3.38773 + 2.95147i) q^{26} +(-5.19538 - 0.0898329i) q^{27} +(4.62423 - 2.57225i) q^{28} +(2.17305 + 1.25461i) q^{29} +(4.82688 + 1.68724i) q^{30} +4.55975 q^{31} +(-3.21907 + 4.65162i) q^{32} +(3.18088 - 1.81212i) q^{33} +(-0.889521 + 2.59263i) q^{34} +(5.08237 + 2.16163i) q^{35} +(5.58382 - 2.19568i) q^{36} +(3.22978 - 1.86471i) q^{37} +(4.36228 - 3.80051i) q^{38} +(-4.78142 + 2.72394i) q^{39} +(-5.89516 + 0.328489i) q^{40} +(5.35571 + 9.27636i) q^{41} +(6.17423 - 1.96949i) q^{42} +(5.97561 + 3.45002i) q^{43} +(-2.59516 + 3.33678i) q^{44} +(5.38700 + 3.19353i) q^{45} +(-0.498027 + 1.45157i) q^{46} +7.08178 q^{47} +(-4.99026 + 4.80597i) q^{48} +(6.79449 - 1.68373i) q^{49} +(0.596782 + 0.684994i) q^{50} +(-1.69523 + 2.89753i) q^{51} +(3.90099 - 5.01578i) q^{52} +(-1.27584 - 0.736608i) q^{53} +(7.23521 - 1.28521i) q^{54} -4.41208 q^{55} +(-5.72008 + 4.82501i) q^{56} +(6.15689 - 3.50753i) q^{57} +(-3.35651 - 1.15161i) q^{58} +1.83605i q^{59} +(-7.15726 - 1.03188i) q^{60} +13.3740i q^{61} +(-6.32863 + 1.23740i) q^{62} +(7.88934 - 0.870797i) q^{63} +(3.20552 - 7.32971i) q^{64} +6.63214 q^{65} +(-3.92308 + 3.37831i) q^{66} -10.0711i q^{67} +(0.531024 - 3.83979i) q^{68} +(-0.949129 + 1.62228i) q^{69} +(-7.64060 - 1.62098i) q^{70} -14.9404 q^{71} +(-7.15411 + 4.56275i) q^{72} +(6.73523 - 11.6658i) q^{73} +(-3.97668 + 3.46457i) q^{74} +(0.550775 + 0.966795i) q^{75} +(-5.02319 + 6.45866i) q^{76} +(-4.46840 + 3.36217i) q^{77} +(5.89709 - 5.07819i) q^{78} +1.70813 q^{79} +(8.09293 - 2.05571i) q^{80} +(8.99761 + 0.207452i) q^{81} +(-9.95072 - 11.4216i) q^{82} +(-4.93435 - 2.84885i) q^{83} +(-8.03495 + 4.40904i) q^{84} +(3.50385 - 2.02295i) q^{85} +(-9.22999 - 3.16677i) q^{86} +(-3.75125 - 2.19470i) q^{87} +(2.69640 - 5.33549i) q^{88} +(1.34318 + 2.32646i) q^{89} +(-8.34343 - 2.97052i) q^{90} +(6.71679 - 5.05394i) q^{91} +(0.297311 - 2.14983i) q^{92} +(-7.89759 - 0.0455149i) q^{93} +(-9.82903 + 1.92181i) q^{94} -8.54000 q^{95} +(5.62193 - 8.02458i) q^{96} +(-8.06592 + 13.9706i) q^{97} +(-8.97337 + 4.18075i) q^{98} +(-5.52744 + 3.10688i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 184 q - 2 q^{2} - 2 q^{4} - 2 q^{6} - 2 q^{7} - 8 q^{8} - 2 q^{9}+O(q^{10}) $ 184 * q - 2 * q^2 - 2 * q^4 - 2 * q^6 - 2 * q^7 - 8 * q^8 - 2 * q^9	$ 184 q - 2 q^{2} - 2 q^{4} - 2 q^{6} - 2 q^{7} - 8 q^{8} - 2 q^{9} + 2 q^{10} + 16 q^{12} - 4 q^{14} - 2 q^{15} - 2 q^{16} - 4 q^{17} - 14 q^{18} + 6 q^{20} + 2 q^{22} + 2 q^{23} + 12 q^{24} + 78 q^{25} - 4 q^{26} - 8 q^{28} - 9 q^{30} - 4 q^{31} - 2 q^{32} - 14 q^{33} - 18 q^{36} - 5 q^{38} + 4 q^{39} - 4 q^{40} - 4 q^{41} - 12 q^{42} + 17 q^{44} - 6 q^{46} - 84 q^{47} - 3 q^{48} - 2 q^{49} - 31 q^{50} + 9 q^{52} - q^{54} + 4 q^{55} - 16 q^{56} - 20 q^{57} + 5 q^{58} + 17 q^{60} + 32 q^{62} + 8 q^{63} - 8 q^{64} - 44 q^{65} - 56 q^{66} - 12 q^{68} + 5 q^{70} - 16 q^{71} + 36 q^{72} - 4 q^{73} + 19 q^{74} - 6 q^{76} - 47 q^{78} - 4 q^{79} - 11 q^{80} - 18 q^{81} - 65 q^{84} - 23 q^{86} - 14 q^{87} - 7 q^{88} + 4 q^{89} - 35 q^{90} - 48 q^{92} - 18 q^{94} - 44 q^{95} + 95 q^{96} - 4 q^{97} - 83 q^{98}+O(q^{100}) $ 184 * q - 2 * q^2 - 2 * q^4 - 2 * q^6 - 2 * q^7 - 8 * q^8 - 2 * q^9 + 2 * q^10 + 16 * q^12 - 4 * q^14 - 2 * q^15 - 2 * q^16 - 4 * q^17 - 14 * q^18 + 6 * q^20 + 2 * q^22 + 2 * q^23 + 12 * q^24 + 78 * q^25 - 4 * q^26 - 8 * q^28 - 9 * q^30 - 4 * q^31 - 2 * q^32 - 14 * q^33 - 18 * q^36 - 5 * q^38 + 4 * q^39 - 4 * q^40 - 4 * q^41 - 12 * q^42 + 17 * q^44 - 6 * q^46 - 84 * q^47 - 3 * q^48 - 2 * q^49 - 31 * q^50 + 9 * q^52 - q^54 + 4 * q^55 - 16 * q^56 - 20 * q^57 + 5 * q^58 + 17 * q^60 + 32 * q^62 + 8 * q^63 - 8 * q^64 - 44 * q^65 - 56 * q^66 - 12 * q^68 + 5 * q^70 - 16 * q^71 + 36 * q^72 - 4 * q^73 + 19 * q^74 - 6 * q^76 - 47 * q^78 - 4 * q^79 - 11 * q^80 - 18 * q^81 - 65 * q^84 - 23 * q^86 - 14 * q^87 - 7 * q^88 + 4 * q^89 - 35 * q^90 - 48 * q^92 - 18 * q^94 - 44 * q^95 + 95 * q^96 - 4 * q^97 - 83 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/504\mathbb{Z}\right)^\times$.

$n$	$73$	$127$	$253$	$281$
$\chi(n)$	$e\left(\frac{2}{3}\right)$	$1$	$-1$	$e\left(\frac{2}{3}\right)$

Coefficient data

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

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

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

$2$	−1.38793	+	0.271374i	−0.981416	+	0.191890i
$2$	−1.38793	+	0.271374i	−0.981416	+	0.191890i
$3$	−1.73202	−	0.00998187i	−0.999983	−	0.00576304i
$3$	−1.73202	−	0.00998187i	−0.999983	−	0.00576304i
$4$	1.85271	−	0.753297i	0.926356	−	0.376648i
$5$	1.80782	+	1.04374i	0.808480	+	0.466776i	0.846428	−	0.532504i	$-0.178749\pi$
$5$	1.80782	+	1.04374i	0.808480	+	0.466776i	−0.0379479	+	0.999280i	$0.512082\pi$
$6$	2.40664	−	0.456171i	0.982506	−	0.186231i
$7$	2.62626	−	0.320557i	0.992633	−	0.121159i
$7$	2.62626	−	0.320557i	0.992633	−	0.121159i
$8$	−2.36702	+	1.54830i	−0.836866	+	0.547407i
$9$	2.99980	+	0.0345777i	0.999934	+	0.0115259i
$10$	−2.79237	−	0.958051i	−0.883025	−	0.302962i
$11$	−1.83042	+	1.05679i	−0.551893	+	0.318635i	−0.749885	−	0.661568i	$-0.769891\pi$
$11$	−1.83042	+	1.05679i	−0.551893	+	0.318635i	0.197992	+	0.980204i	$0.436558\pi$
$12$	−3.21646	+	1.28623i	−0.928512	+	0.371303i
$13$	2.75145	−	1.58855i	0.763114	−	0.440584i	−0.0672988	−	0.997733i	$-0.521438\pi$
$13$	2.75145	−	1.58855i	0.763114	−	0.440584i	0.830413	+	0.557149i	$0.188105\pi$
$14$	−3.55808	+	1.15761i	−0.950937	+	0.309384i
$15$	−3.12076	−	1.82583i	−0.805776	−	0.471428i
$16$	2.86509	−	2.79128i	0.716272	−	0.697821i
$17$	0.969083	−	1.67850i	0.235037	−	0.407096i	−0.724246	−	0.689541i	$-0.757812\pi$
$17$	0.969083	−	1.67850i	0.235037	−	0.407096i	0.959284	+	0.282445i	$0.0911455\pi$
$18$	−4.17290	+	0.766075i	−0.983563	+	0.180566i
$19$	−3.54295	+	2.04552i	−0.812809	+	0.469275i	−0.847930	−	0.530108i	$-0.822152\pi$
$19$	−3.54295	+	2.04552i	−0.812809	+	0.469275i	0.0351215	+	0.999383i	$0.488818\pi$
$20$	4.13561	+	0.571934i	0.924751	+	0.127888i
$21$	−4.55194	+	0.528997i	−0.993315	+	0.115437i
$22$	2.25371	−	1.96349i	0.480493	−	0.418617i
$23$	0.542573	−	0.939764i	0.113134	−	0.195954i	−0.803898	−	0.594767i	$-0.797244\pi$
$23$	0.542573	−	0.939764i	0.113134	−	0.195954i	0.917032	+	0.398813i	$0.130578\pi$
$24$	4.11518	−	2.65807i	0.840007	−	0.542575i
$25$	−0.321202	−	0.556338i	−0.0642404	−	0.111268i
$26$	−3.38773	+	2.95147i	−0.664389	+	0.578830i
$27$	−5.19538	−	0.0898329i	−0.999851	−	0.0172883i
$28$	4.62423	−	2.57225i	0.873898	−	0.486110i
$29$	2.17305	+	1.25461i	0.403525	+	0.232975i	0.688004	−	0.725707i	$-0.258487\pi$
$29$	2.17305	+	1.25461i	0.403525	+	0.232975i	−0.284479	+	0.958682i	$0.591820\pi$
$30$	4.82688	+	1.68724i	0.881264	+	0.308046i
$31$	4.55975			0.818956			0.409478	−	0.912320i	$-0.365711\pi$
$31$	4.55975			0.818956			0.409478	+	0.912320i	$0.365711\pi$
$32$	−3.21907	+	4.65162i	−0.569056	+	0.822299i
$33$	3.18088	−	1.81212i	0.553720	−	0.315449i
$34$	−0.889521	+	2.59263i	−0.152552	+	0.444632i
$35$	5.08237	+	2.16163i	0.859078	+	0.365383i
$36$	5.58382	−	2.19568i	0.930636	−	0.365946i
$37$	3.22978	−	1.86471i	0.530972	−	0.306557i	−0.210440	−	0.977607i	$-0.567490\pi$
$37$	3.22978	−	1.86471i	0.530972	−	0.306557i	0.741412	+	0.671050i	$0.234156\pi$
$38$	4.36228	−	3.80051i	0.707655	−	0.616525i
$39$	−4.78142	+	2.72394i	−0.765640	+	0.436179i
$40$	−5.89516	+	0.328489i	−0.932106	+	0.0519387i
$41$	5.35571	+	9.27636i	0.836421	+	1.44872i	0.892868	+	0.450318i	$0.148689\pi$
$41$	5.35571	+	9.27636i	0.836421	+	1.44872i	−0.0564471	+	0.998406i	$0.517977\pi$
$42$	6.17423	−	1.96949i	0.952704	−	0.303899i
$43$	5.97561	+	3.45002i	0.911273	+	0.526124i	0.880840	−	0.473413i	$-0.156978\pi$
$43$	5.97561	+	3.45002i	0.911273	+	0.526124i	0.0304323	+	0.999537i	$0.490312\pi$
$44$	−2.59516	+	3.33678i	−0.391236	+	0.503039i
$45$	5.38700	+	3.19353i	0.803046	+	0.476063i
$46$	−0.498027	+	1.45157i	−0.0734301	+	0.214022i
$47$	7.08178			1.03298			0.516492	−	0.856292i	$-0.327238\pi$
$47$	7.08178			1.03298			0.516492	+	0.856292i	$0.327238\pi$
$48$	−4.99026	+	4.80597i	−0.720282	+	0.693682i
$49$	6.79449	−	1.68373i	0.970641	−	0.240533i
$50$	0.596782	+	0.684994i	0.0843977	+	0.0968727i
$51$	−1.69523	+	2.89753i	−0.237379	+	0.405735i
$52$	3.90099	−	5.01578i	0.540970	−	0.695563i
$53$	−1.27584	−	0.736608i	−0.175250	−	0.101181i	0.409809	−	0.912171i	$-0.365595\pi$
$53$	−1.27584	−	0.736608i	−0.175250	−	0.101181i	−0.585059	+	0.810991i	$0.698929\pi$
$54$	7.23521	−	1.28521i	0.984587	−	0.174894i
$55$	−4.41208			−0.594925
$56$	−5.72008	+	4.82501i	−0.764378	+	0.644769i
$57$	6.15689	−	3.50753i	0.815500	−	0.464583i
$58$	−3.35651	−	1.15161i	−0.440732	−	0.151213i
$59$			1.83605i			0.239034i	0.992832	+	0.119517i	$0.0381345\pi$
$59$			1.83605i			0.239034i	−0.992832	+	0.119517i	$0.961865\pi$
$60$	−7.15726	−	1.03188i	−0.923998	−	0.133216i
$61$			13.3740i			1.71237i	0.516669	+	0.856185i	$0.327172\pi$
$61$			13.3740i			1.71237i	−0.516669	+	0.856185i	$0.672828\pi$
$62$	−6.32863	+	1.23740i	−0.803737	+	0.157150i
$63$	7.88934	−	0.870797i	0.993964	−	0.109710i
$64$	3.20552	−	7.32971i	0.400690	−	0.916214i
$65$	6.63214			0.822616
$66$	−3.92308	+	3.37831i	−0.482898	+	0.415841i
$67$		−	10.0711i		−	1.23038i	−0.788379	−	0.615189i	$-0.789080\pi$
$67$		−	10.0711i		−	1.23038i	0.788379	−	0.615189i	$-0.210920\pi$
$68$	0.531024	−	3.83979i	0.0643961	−	0.465643i
$69$	−0.949129	+	1.62228i	−0.114262	+	0.195299i
$70$	−7.64060	−	1.62098i	−0.913226	−	0.193744i
$71$	−14.9404			−1.77310			−0.886552	−	0.462630i	$-0.846906\pi$
$71$	−14.9404			−1.77310			−0.886552	+	0.462630i	$0.846906\pi$
$72$	−7.15411	+	4.56275i	−0.843120	+	0.537725i
$73$	6.73523	−	11.6658i	0.788299	−	1.36537i	−0.138710	−	0.990333i	$-0.544295\pi$
$73$	6.73523	−	11.6658i	0.788299	−	1.36537i	0.927008	−	0.375041i	$-0.122371\pi$
$74$	−3.97668	+	3.46457i	−0.462279	+	0.402748i
$75$	0.550775	+	0.966795i	0.0635980	+	0.111636i
$76$	−5.02319	+	6.45866i	−0.576199	+	0.740859i
$77$	−4.46840	+	3.36217i	−0.509221	+	0.383155i
$78$	5.89709	−	5.07819i	0.667714	−	0.574992i
$79$	1.70813			0.192180			0.0960898	−	0.995373i	$-0.469366\pi$
$79$	1.70813			0.192180			0.0960898	+	0.995373i	$0.469366\pi$
$80$	8.09293	−	2.05571i	0.904818	−	0.229835i
$81$	8.99761	+	0.207452i	0.999734	+	0.0230502i
$82$	−9.95072	−	11.4216i	−1.09887	−	1.26130i
$83$	−4.93435	−	2.84885i	−0.541616	−	0.312702i	0.204118	−	0.978946i	$-0.434567\pi$
$83$	−4.93435	−	2.84885i	−0.541616	−	0.312702i	−0.745733	+	0.666244i	$0.767901\pi$
$84$	−8.03495	+	4.40904i	−0.876685	+	0.481066i
$85$	3.50385	−	2.02295i	0.380046	−	0.219419i
$86$	−9.22999	−	3.16677i	−0.995296	−	0.341482i
$87$	−3.75125	−	2.19470i	−0.402176	−	0.235297i
$88$	2.69640	−	5.33549i	0.287437	−	0.568765i
$89$	1.34318	+	2.32646i	0.142377	+	0.246604i	0.928391	−	0.371604i	$-0.121192\pi$
$89$	1.34318	+	2.32646i	0.142377	+	0.246604i	−0.786014	+	0.618208i	$0.787859\pi$
$90$	−8.34343	−	2.97052i	−0.879474	−	0.313120i
$91$	6.71679	−	5.05394i	0.704111	−	0.529796i
$92$	0.297311	−	2.14983i	0.0309968	−	0.224135i
$93$	−7.89759	−	0.0455149i	−0.818942	−	0.00471967i
$94$	−9.82903	+	1.92181i	−1.01379	+	0.198219i
$95$	−8.54000			−0.876186
$96$	5.62193	−	8.02458i	0.573786	−	0.819005i
$97$	−8.06592	+	13.9706i	−0.818970	+	1.41850i	0.0874712	+	0.996167i	$0.472121\pi$
$97$	−8.06592	+	13.9706i	−0.818970	+	1.41850i	−0.906442	+	0.422331i	$0.861212\pi$
$98$	−8.97337	+	4.18075i	−0.906447	+	0.422320i
$99$	−5.52744	+	3.10688i	−0.555528	+	0.312253i
$100$	−1.01418	−	0.788774i	−0.101418	−	0.0788774i
$101$	8.08257	−	4.66647i	0.804246	−	0.464331i	−0.0407080	−	0.999171i	$-0.512961\pi$
$101$	8.08257	−	4.66647i	0.804246	−	0.464331i	0.844954	+	0.534840i	$0.179628\pi$
$102$	1.56655	−	4.48161i	0.155112	−	0.443746i
$103$	−7.55570	+	13.0869i	−0.744485	+	1.28949i	0.205949	+	0.978563i	$0.433972\pi$
$103$	−7.55570	+	13.0869i	−0.744485	+	1.28949i	−0.950435	+	0.310924i	$0.899362\pi$
$104$	−4.05316	+	8.02019i	−0.397445	+	0.786444i
$105$	−8.78121	−	3.79473i	−0.856958	−	0.370327i
$106$	1.97068	+	0.676132i	0.191409	+	0.0656718i
$107$	17.6833	−	10.2094i	1.70951	−	0.986985i	0.774347	−	0.632761i	$-0.218079\pi$
$107$	17.6833	−	10.2094i	1.70951	−	0.986985i	0.935161	−	0.354223i	$-0.115255\pi$
$108$	−9.69321	+	3.74722i	−0.932730	+	0.360577i
$109$	−5.26705	−	3.04093i	−0.504492	−	0.291269i	0.226075	−	0.974110i	$-0.427411\pi$
$109$	−5.26705	−	3.04093i	−0.504492	−	0.291269i	−0.730567	+	0.682841i	$0.760744\pi$
$110$	6.12367	−	1.19732i	0.583869	−	0.114160i
$111$	−5.61266	+	3.19748i	−0.532730	+	0.303492i
$112$	6.62970	−	8.24906i	0.626448	−	0.779463i
$113$	−2.04433	−	3.54089i	−0.192315	−	0.333099i	0.753702	−	0.657216i	$-0.228266\pi$
$113$	−2.04433	−	3.54089i	−0.192315	−	0.333099i	−0.946017	+	0.324117i	$0.894933\pi$
$114$	−7.59349	+	6.53903i	−0.711196	+	0.612436i
$115$	1.96174	−	1.13261i	0.182933	−	0.105617i
$116$	4.97113	+	0.687483i	0.461558	+	0.0638312i
$117$	8.30872	−	4.67019i	0.768141	−	0.431759i
$118$	−0.498256	−	2.54832i	−0.0458682	−	0.234591i
$119$	2.00701	−	4.71883i	0.183982	−	0.432574i
$120$	10.2138	−	0.510106i	0.932390	−	0.0465661i
$121$	−3.26637	+	5.65752i	−0.296943	+	0.514320i
$122$	−3.62936	−	18.5623i	−0.328587	−	1.68055i
$123$	−9.18361	−	16.1203i	−0.828058	−	1.45352i
$124$	8.44791	−	3.43485i	0.758645	−	0.308458i
$125$		−	11.7784i		−	1.05350i
$126$	−10.7136	+	3.34957i	−0.954440	+	0.298403i
$127$	−10.6507			−0.945099			−0.472549	−	0.881304i	$-0.656666\pi$
$127$	−10.6507			−0.945099			−0.472549	+	0.881304i	$0.656666\pi$
$128$	−2.45996	+	11.0430i	−0.217432	+	0.976076i
$129$	−10.3155	−	6.03516i	−0.908225	−	0.531366i
$130$	−9.20497	+	1.79979i	−0.807329	+	0.157852i
$131$	10.0317	+	5.79182i	0.876476	+	0.506033i	0.869495	−	0.493942i	$-0.164445\pi$
$131$	10.0317	+	5.79182i	0.876476	+	0.506033i	0.00698087	+	0.999976i	$0.497778\pi$
$132$	4.52819	−	5.75348i	0.394128	−	0.500776i
$133$	−8.64901	+	6.50780i	−0.749964	+	0.564298i
$134$	2.73303	+	13.9780i	0.236098	+	1.20751i
$135$	−9.29852	−	5.58504i	−0.800289	−	0.480684i
$136$	0.304992	+	5.47347i	0.0261529	+	0.469346i
$137$	−2.58123	−	4.47082i	−0.220529	−	0.381968i	0.734439	−	0.678674i	$-0.237445\pi$
$137$	−2.58123	−	4.47082i	−0.220529	−	0.381968i	−0.954969	+	0.296706i	$0.904112\pi$
$138$	0.877084	−	2.50918i	0.0746623	−	0.213595i
$139$	9.56590	−	5.52287i	0.811369	−	0.468444i	−0.0360623	−	0.999350i	$-0.511481\pi$
$139$	9.56590	−	5.52287i	0.811369	−	0.468444i	0.847431	+	0.530906i	$0.178148\pi$
$140$	11.0445	+	0.176350i	0.933433	+	0.0149043i
$141$	−12.2658	−	0.0706894i	−1.03297	−	0.00595312i
$142$	20.7363	−	4.05444i	1.74015	−	0.340241i
$143$	−3.35754	+	5.81542i	−0.280771	+	0.486310i
$144$	8.69121	−	8.27423i	0.724268	−	0.689519i
$145$	2.61898	+	4.53621i	0.217495	+	0.376712i
$146$	−6.18226	+	18.0190i	−0.511648	+	1.49127i
$147$	−11.7850	+	2.84844i	−0.972011	+	0.234935i
$148$	4.57917	−	5.88776i	0.376405	−	0.483971i
$149$	−19.8388	−	11.4539i	−1.62526	−	0.938343i	−0.985482	−	0.169782i	$-0.945694\pi$
$149$	−19.8388	−	11.4539i	−1.62526	−	0.938343i	−0.639777	−	0.768561i	$-0.720973\pi$
$150$	−1.02680	−	1.19238i	−0.0838380	−	0.0973575i
$151$	2.79505	+	4.84117i	0.227458	+	0.393969i	0.957054	−	0.289910i	$-0.0936252\pi$
$151$	2.79505	+	4.84117i	0.227458	+	0.393969i	−0.729596	+	0.683878i	$0.760292\pi$
$152$	5.21913	−	10.3273i	0.423327	−	0.837658i
$153$	2.96510	−	5.00166i	0.239714	−	0.404360i
$154$	5.28943	−	5.87907i	0.426234	−	0.473749i
$155$	8.24319	+	4.75921i	0.662109	+	0.382269i
$156$	−6.80667	+	8.64850i	−0.544970	+	0.692434i
$157$			10.5764i			0.844092i	0.906574	+	0.422046i	$0.138688\pi$
$157$			10.5764i			0.844092i	−0.906574	+	0.422046i	$0.861312\pi$
$158$	−2.37077	+	0.463541i	−0.188608	+	0.0368774i
$159$	2.20243	+	1.28856i	0.174664	+	0.102189i
$160$	−10.6746	+	5.04940i	−0.843900	+	0.399190i
$161$	1.12369	−	2.64199i	0.0885592	−	0.208218i
$162$	−12.5444	+	2.15378i	−0.985579	+	0.169217i
$163$	8.52316	−	4.92085i	0.667585	−	0.385431i	−0.127576	−	0.991829i	$-0.540720\pi$
$163$	8.52316	−	4.92085i	0.667585	−	0.385431i	0.795161	+	0.606398i	$0.207386\pi$
$164$	16.9104	+	13.1520i	1.32048	+	1.02700i
$165$	7.64183	+	0.0440409i	0.594915	+	0.00342858i
$166$	7.62165	+	2.61496i	0.591555	+	0.202960i
$167$	4.34258	+	7.52157i	0.336039	+	0.582037i	0.983684	−	0.179906i	$-0.0575792\pi$
$167$	4.34258	+	7.52157i	0.336039	+	0.582037i	−0.647645	+	0.761942i	$0.724246\pi$
$168$	9.95547	−	8.29992i	0.768081	−	0.640353i
$169$	−1.45303	+	2.51672i	−0.111771	+	0.193594i
$170$	−4.31413	+	3.75857i	−0.330879	+	0.288269i
$171$	−10.6989	+	6.01366i	−0.818164	+	0.459876i
$172$	13.6700	+	1.89049i	1.04233	+	0.144149i
$173$		−	15.6057i		−	1.18648i	−0.805027	−	0.593238i	$-0.797849\pi$
$173$		−	15.6057i		−	1.18648i	0.805027	−	0.593238i	$-0.202151\pi$
$174$	5.80206	+	2.02811i	0.439853	+	0.153751i
$175$	−1.02190	−	1.35812i	−0.0772482	−	0.102665i
$176$	−2.29451	+	8.13703i	−0.172955	+	0.613352i
$177$	0.0183272	−	3.18008i	0.00137756	−	0.239030i
$178$	−2.49558	−	2.86446i	−0.187052	−	0.214701i
$179$	−1.76897	−	1.02131i	−0.132219	−	0.0763365i	0.432432	−	0.901667i	$-0.357656\pi$
$179$	−1.76897	−	1.02131i	−0.132219	−	0.0763365i	−0.564650	+	0.825330i	$0.690989\pi$
$180$	12.3862	+	1.85869i	0.923215	+	0.138538i
$181$			17.6847i			1.31449i	0.753677	+	0.657245i	$0.228278\pi$
$181$			17.6847i			1.31449i	−0.753677	+	0.657245i	$0.771722\pi$
$182$	−7.95095	+	8.83728i	−0.589364	+	0.655063i
$183$	0.133498	−	23.1641i	0.00986845	−	1.71234i
$184$	0.170760	+	3.06450i	0.0125886	+	0.225918i
$185$	7.78512			0.572373
$186$	10.9737	−	2.08003i	0.804629	−	0.152515i
$187$			4.09649i			0.299565i
$188$	13.1205	−	5.33468i	0.956911	−	0.389072i
$189$	−13.6732	+	1.42949i	−0.994579	+	0.103980i
$190$	11.8529	−	2.31753i	0.859903	−	0.168131i
$191$	−9.08469			−0.657345			−0.328673	−	0.944444i	$-0.606601\pi$
$191$	−9.08469			−0.657345			−0.328673	+	0.944444i	$0.606601\pi$
$192$	−5.62520	+	12.6632i	−0.405964	+	0.913889i
$193$	−23.5082			−1.69216			−0.846080	−	0.533056i	$-0.821043\pi$
$193$	−23.5082			−1.69216			−0.846080	+	0.533056i	$0.821043\pi$
$194$	7.40371	−	21.5791i	0.531555	−	1.54929i
$195$	−11.4870	−	0.0662012i	−0.822602	−	0.00474077i
$196$	11.3199	−	8.23773i	0.808563	−	0.588410i
$197$		−	14.2834i		−	1.01765i	−0.860869	−	0.508826i	$-0.830080\pi$
$197$		−	14.2834i		−	1.01765i	0.860869	−	0.508826i	$-0.169920\pi$
$198$	6.82859	−	5.81214i	0.485286	−	0.413051i
$199$	−1.81156	+	3.13771i	−0.128418	+	0.222426i	−0.923064	−	0.384647i	$-0.874323\pi$
$199$	−1.81156	+	3.13771i	−0.128418	+	0.222426i	0.794646	+	0.607073i	$0.207657\pi$
$200$	1.62167	+	0.819543i	0.114669	+	0.0579504i
$201$	−0.100528	+	17.4433i	−0.00709072	+	1.23036i
$202$	−9.95170	+	8.67014i	−0.700199	+	0.610029i
$203$	6.10917	+	2.59835i	0.428780	+	0.182368i
$204$	−0.958073	+	6.64530i	−0.0670785	+	0.465264i
$205$			22.3599i			1.56169i
$206$	6.93537	−	20.2141i	0.483210	−	1.40838i
$207$	1.66011	−	2.80034i	0.115385	−	0.194637i
$208$	3.44905	−	12.2314i	0.239148	−	0.848095i
$209$	4.32339	−	7.48834i	0.299055	−	0.517979i
$210$	13.2175	+	2.88384i	0.912095	+	0.199004i
$211$	−10.8662	+	6.27361i	−0.748061	+	0.431893i	−0.824993	−	0.565143i	$-0.808821\pi$
$211$	−10.8662	+	6.27361i	−0.748061	+	0.431893i	0.0769320	+	0.997036i	$0.475488\pi$
$212$	−2.91865	−	0.403635i	−0.200454	−	0.0277218i
$213$	25.8772	+	0.149134i	1.77307	+	0.0102185i
$214$	−21.7726	+	18.9688i	−1.48835	+	1.29668i
$215$	7.20187	+	12.4740i	0.491164	+	0.850720i
$216$	12.4366	−	7.83138i	0.846205	−	0.532858i
$217$	11.9751	−	1.46166i	0.812923	−	0.0992240i
$218$	8.13554	+	2.79127i	0.551008	+	0.189049i
$219$	−11.7820	+	20.1381i	−0.796154	+	1.36081i
$220$	−8.17432	+	3.32361i	−0.551113	+	0.224078i
$221$		−	6.15774i		−	0.414215i
$222$	6.92228	−	5.96102i	0.464593	−	0.400077i
$223$	7.15834	−	12.3986i	0.479358	−	0.830272i	−0.520362	−	0.853946i	$-0.674203\pi$
$223$	7.15834	−	12.3986i	0.479358	−	0.830272i	0.999720	+	0.0236737i	$0.00753628\pi$
$224$	−6.96300	+	13.2483i	−0.465235	+	0.885187i
$225$	−0.944304	−	1.68001i	−0.0629536	−	0.112001i
$226$	3.79830	+	4.35974i	0.252659	+	0.290005i
$227$	−10.6894	+	6.17155i	−0.709483	+	0.409620i	−0.810870	−	0.585227i	$-0.801005\pi$
$227$	−10.6894	+	6.17155i	−0.709483	+	0.409620i	0.101387	+	0.994847i	$0.467672\pi$
$228$	8.76474	−	11.1364i	0.580459	−	0.737526i
$229$	−3.67703	−	2.12294i	−0.242985	−	0.140288i	0.373563	−	0.927605i	$-0.378136\pi$
$229$	−3.67703	−	2.12294i	−0.242985	−	0.140288i	−0.616548	+	0.787317i	$0.711469\pi$
$230$	−2.41541	+	2.10436i	−0.159267	+	0.138757i
$231$	7.77293	−	5.77875i	0.511421	−	0.380214i
$232$	−7.08616	+	0.394854i	−0.465229	+	0.0259235i
$233$	−4.41665	−	7.64986i	−0.289344	−	0.501159i	0.684309	−	0.729192i	$-0.260104\pi$
$233$	−4.41665	−	7.64986i	−0.289344	−	0.501159i	−0.973653	+	0.228033i	$0.926771\pi$
$234$	−10.2646	+	8.73667i	−0.671016	+	0.571134i
$235$	12.8026	+	7.39156i	0.835147	+	0.482172i
$236$	1.38309	+	3.40168i	0.0900316	+	0.221430i
$237$	−2.95852	−	0.0170503i	−0.192176	−	0.00110754i
$238$	−1.50503	+	7.09406i	−0.0975565	+	0.459840i
$239$	8.17705	+	14.1631i	0.528929	+	0.916132i	0.999431	+	0.0337333i	$0.0107397\pi$
$239$	8.17705	+	14.1631i	0.528929	+	0.916132i	−0.470502	+	0.882399i	$0.655927\pi$
$240$	−14.0377	+	3.47975i	−0.906127	+	0.224617i
$241$	−5.73894	−	9.94013i	−0.369677	−	0.640300i	0.619838	−	0.784730i	$-0.287198\pi$
$241$	−5.73894	−	9.94013i	−0.369677	−	0.640300i	−0.989515	+	0.144430i	$0.953865\pi$
$242$	2.99820	−	8.73867i	0.192732	−	0.561743i
$243$	−15.5820	−	0.449125i	−0.999585	−	0.0288114i
$244$	10.0746	+	24.7783i	0.644961	+	1.58626i
$245$	14.0406	+	4.04782i	0.897019	+	0.258606i
$246$	17.1209	+	19.8817i	1.09159	+	1.26761i
$247$	−6.49883	+	11.2563i	−0.413510	+	0.716221i
$248$	−10.7930	+	7.05987i	−0.685356	+	0.448302i
$249$	8.51797	+	4.98352i	0.539804	+	0.315818i
$250$	3.19636	+	16.3477i	0.202155	+	1.03392i
$251$		−	7.97272i		−	0.503234i	−0.967827	−	0.251617i	$-0.919038\pi$
$251$		−	7.97272i		−	0.503234i	0.967827	−	0.251617i	$-0.0809623\pi$
$252$	13.9607	−	7.55635i	0.879442	−	0.476005i
$253$			2.29355i			0.144194i
$254$	14.7825	−	2.89033i	0.927535	−	0.181355i
$255$	−6.08893	+	3.46881i	−0.381304	+	0.217226i
$256$	0.417466	−	15.9946i	0.0260916	−	0.999660i
$257$	−1.92308	+	3.33088i	−0.119959	+	0.207775i	−0.919751	−	0.392502i	$-0.871610\pi$
$257$	−1.92308	+	3.33088i	−0.119959	+	0.207775i	0.799792	+	0.600277i	$0.204943\pi$
$258$	15.9549	+	5.57706i	0.993311	+	0.347212i
$259$	7.88449	−	5.93255i	0.489918	−	0.368631i
$260$	12.2875	−	4.99597i	0.762036	−	0.309837i
$261$	6.47534	+	3.83872i	0.400813	+	0.237611i
$262$	−15.4951	−	5.31631i	−0.957290	−	0.328442i
$263$	−11.5514	−	20.0076i	−0.712288	−	1.23372i	−0.963996	−	0.265916i	$-0.914326\pi$
$263$	−11.5514	−	20.0076i	−0.712288	−	1.23372i	0.251708	−	0.967803i	$-0.419008\pi$
$264$	−4.72348	+	9.21427i	−0.290710	+	0.567099i
$265$	−1.53766	−	2.66330i	−0.0944576	−	0.163605i
$266$	10.2382	−	11.3795i	0.627744	−	0.697722i
$267$	−2.30320	−	4.04288i	−0.140953	−	0.247420i
$268$	−7.58651	−	18.6588i	−0.463420	−	1.13977i
$269$	−19.4083	−	11.2054i	−1.18334	−	0.683204i	−0.226559	−	0.973998i	$-0.572748\pi$
$269$	−19.4083	−	11.2054i	−1.18334	−	0.683204i	−0.956786	+	0.290793i	$0.906081\pi$
$270$	14.4213	+	5.22828i	0.877655	+	0.318183i
$271$	−14.3596	−	24.8715i	−0.872281	−	1.51083i	−0.859632	−	0.510914i	$-0.829307\pi$
$271$	−14.3596	−	24.8715i	−0.872281	−	1.51083i	−0.0126491	−	0.999920i	$-0.504026\pi$
$272$	−1.90866	−	7.51404i	−0.115730	−	0.455606i
$273$	−11.6841	+	8.68648i	−0.707153	+	0.525730i
$274$	4.79584	+	5.50472i	0.289727	+	0.332552i
$275$	1.17587	+	0.678888i	0.0709075	+	0.0409385i
$276$	−0.536408	+	3.72059i	−0.0322880	+	0.223953i
$277$	1.76880	−	1.02121i	0.106277	−	0.0613589i	−0.445920	−	0.895073i	$-0.647123\pi$
$277$	1.76880	−	1.02121i	0.106277	−	0.0613589i	0.552196	+	0.833714i	$0.313790\pi$
$278$	−11.7781	+	10.2613i	−0.706401	+	0.615432i
$279$	13.6783	+	0.157666i	0.818901	+	0.00943919i
$280$	−15.3769	+	2.75243i	−0.918946	+	0.164489i
$281$	2.81180	−	4.87018i	0.167738	−	0.290531i	−0.769886	−	0.638181i	$-0.779687\pi$
$281$	2.81180	−	4.87018i	0.167738	−	0.290531i	0.937624	+	0.347650i	$0.113020\pi$
$282$	17.0433	−	3.23050i	1.01491	−	0.192374i
$283$		−	18.2058i		−	1.08222i	−0.840951	−	0.541111i	$-0.818004\pi$
$283$		−	18.2058i		−	1.08222i	0.840951	−	0.541111i	$-0.181996\pi$
$284$	−27.6803	+	11.2546i	−1.64253	+	0.667836i
$285$	14.7915	+	0.0852452i	0.876171	+	0.00504949i
$286$	3.08188	−	8.98256i	0.182235	−	0.531150i
$287$	17.0391	+	22.6453i	1.00579	+	1.33671i
$288$	−9.81741	+	13.8426i	−0.578496	+	0.815685i
$289$	6.62176	+	11.4692i	0.389515	+	0.674660i
$290$	−4.86598	−	5.58523i	−0.285740	−	0.327976i
$291$	14.1098	−	24.1169i	0.827132	−	1.41375i
$292$	3.69067	−	26.6869i	0.215980	−	1.56173i
$293$	−3.37702	+	1.94972i	−0.197288	+	0.113904i	−0.595390	−	0.803437i	$-0.703002\pi$
$293$	−3.37702	+	1.94972i	−0.197288	+	0.113904i	0.398102	+	0.917341i	$0.369669\pi$
$294$	15.5838	−	7.15158i	0.908866	−	0.417089i
$295$	−1.91637	+	3.31924i	−0.111575	+	0.193254i
$296$	−4.75779	+	9.41447i	−0.276541	+	0.547205i
$297$	9.60466	−	5.32601i	0.557319	−	0.309046i
$298$	30.6432	+	10.5136i	1.77511	+	0.609034i
$299$		−	3.44761i		−	0.199381i
$300$	1.74871	+	1.37630i	0.100962	+	0.0794606i
$301$	16.7994	+	7.14513i	0.968304	+	0.411839i
$302$	−5.19311	−	5.96071i	−0.298830	−	0.343001i
$303$	−14.0458	+	8.00175i	−0.806908	+	0.459689i
$304$	−4.44123	+	15.7500i	−0.254722	+	0.903324i
$305$	−13.9591	+	24.1778i	−0.799293	+	1.38442i
$306$	−2.75803	+	7.74662i	−0.157666	+	0.442845i
$307$			16.9111i			0.965165i	0.875851	+	0.482582i	$0.160301\pi$
$307$			16.9111i			0.965165i	−0.875851	+	0.482582i	$0.839699\pi$
$308$	−5.74595	+	9.59516i	−0.327406	+	0.546735i
$309$	13.2173	−	22.5913i	0.751904	−	1.28517i
$310$	−12.7325	−	4.36848i	−0.723158	−	0.248113i
$311$	16.3007			0.924327			0.462163	−	0.886795i	$-0.347073\pi$
$311$	16.3007			0.924327			0.462163	+	0.886795i	$0.347073\pi$
$312$	7.10022	−	13.8507i	0.401971	−	0.784141i
$313$	8.84449			0.499920			0.249960	−	0.968256i	$-0.419582\pi$
$313$	8.84449			0.499920			0.249960	+	0.968256i	$0.419582\pi$
$314$	−2.87017	−	14.6794i	−0.161973	−	0.828406i
$315$	15.1714	+	6.66020i	0.854809	+	0.375260i
$316$	3.16467	−	1.28673i	0.178027	−	0.0723841i
$317$		−	2.38328i		−	0.133859i	−0.997758	−	0.0669293i	$-0.978680\pi$
$317$		−	2.38328i		−	0.133859i	0.997758	−	0.0669293i	$-0.0213202\pi$
$318$	−3.40651	−	1.19075i	−0.191028	−	0.0667738i
$319$	−5.30346			−0.296937
$320$	13.4453	−	9.90502i	0.751616	−	0.553708i
$321$	−30.7297	+	17.5065i	−1.71517	+	0.977116i
$322$	−0.842639	+	3.97184i	−0.0469584	+	0.221342i
$323$			7.92913i			0.441189i
$324$	16.8263	−	6.39352i	0.934792	−	0.355195i
$325$	−1.76754	−	1.02049i	−0.0980454	−	0.0566065i
$326$	−10.4942	+	9.14276i	−0.581219	+	0.506371i
$327$	9.09229	+	5.31954i	0.502805	+	0.294171i
$328$	−27.0396	−	13.6650i	−1.49301	−	0.754525i
$329$	18.5986	−	2.27011i	1.02537	−	0.125155i
$330$	−10.6183	+	2.01266i	−0.584518	+	0.110794i
$331$		−	15.7471i		−	0.865538i	−0.901505	−	0.432769i	$-0.857536\pi$
$331$		−	15.7471i		−	0.865538i	0.901505	−	0.432769i	$-0.142464\pi$
$332$	−11.2880	−	1.56107i	−0.619508	−	0.0856748i
$333$	9.75316	−	5.48209i	0.534470	−	0.300417i
$334$	−8.06837	−	9.26097i	−0.441481	−	0.506738i
$335$	10.5116	−	18.2067i	0.574311	−	0.994736i
$336$	−11.5651	+	14.2214i	−0.630930	+	0.775840i
$337$	−13.8998	−	24.0751i	−0.757168	−	1.31145i	−0.944289	−	0.329116i	$-0.893249\pi$
$337$	−13.8998	−	24.0751i	−0.757168	−	1.31145i	0.187122	−	0.982337i	$-0.440084\pi$
$338$	1.33373	−	3.88735i	0.0725456	−	0.211444i
$339$	3.50548	+	6.15330i	0.190392	+	0.334202i
$340$	4.96774	−	6.38738i	0.269414	−	0.346404i
$341$	−8.34627	+	4.81872i	−0.451976	+	0.260948i
$342$	13.2174	−	11.2499i	0.714714	−	0.608327i
$343$	17.3044	−	6.59994i	0.934348	−	0.356363i
$344$	−19.4860	+	1.08580i	−1.05062	+	0.0585424i
$345$	−3.40909	+	1.94213i	−0.183539	+	0.104561i
$346$	4.23497	+	21.6596i	0.227673	+	1.16443i
$347$			29.9816i			1.60949i	0.593618	+	0.804747i	$0.297699\pi$
$347$			29.9816i			1.60949i	−0.593618	+	0.804747i	$0.702301\pi$
$348$	−8.60325	−	1.24036i	−0.461182	−	0.0664901i
$349$	−7.21947	−	4.16817i	−0.386450	−	0.223117i	0.294171	−	0.955753i	$-0.404956\pi$
$349$	−7.21947	−	4.16817i	−0.386450	−	0.223117i	−0.680621	+	0.732636i	$0.738290\pi$
$350$	1.78688	+	1.60767i	0.0955129	+	0.0859335i
$351$	−14.4375	+	8.00593i	−0.770617	+	0.427325i
$352$	0.976443	−	11.9163i	0.0520446	−	0.635142i
$353$	−8.63993	−	14.9648i	−0.459857	−	0.796496i	0.539096	−	0.842244i	$-0.318766\pi$
$353$	−8.63993	−	14.9648i	−0.459857	−	0.796496i	−0.998953	+	0.0457486i	$0.985433\pi$
$354$	0.837553	+	4.41871i	0.0445155	+	0.234852i
$355$	−27.0095	−	15.5940i	−1.43352	−	0.827642i
$356$	4.24104	+	3.29844i	0.224775	+	0.174817i
$357$	−3.52329	+	8.15308i	−0.186472	+	0.431507i
$358$	2.73236	+	0.937463i	0.144410	+	0.0495465i
$359$	−12.6839	−	21.9691i	−0.669430	−	1.15949i	−0.978064	−	0.208305i	$-0.933205\pi$
$359$	−12.6839	−	21.9691i	−0.669430	−	1.15949i	0.308634	−	0.951181i	$-0.400128\pi$
$360$	−17.6957	+	0.781562i	−0.932643	+	0.0411920i
$361$	−1.13166	+	1.96010i	−0.0595612	+	0.103163i
$362$	−4.79915	−	24.5451i	−0.252238	−	1.29006i
$363$	5.71390	−	9.76635i	0.299902	−	0.512601i
$364$	8.63718	−	14.4232i	0.452711	−	0.755983i
$365$	24.3521	−	14.0597i	1.27465	−	0.735918i
$366$	6.10085	+	32.1865i	0.318896	+	1.68241i
$367$	10.6740	+	18.4880i	0.557180	+	0.965065i	0.997730	+	0.0673365i	$0.0214501\pi$
$367$	10.6740	+	18.4880i	0.557180	+	0.965065i	−0.440550	+	0.897728i	$0.645217\pi$
$368$	−1.06863	−	4.20698i	−0.0557061	−	0.219304i
$369$	15.7453	+	28.0124i	0.819668	+	1.45827i
$370$	−10.8052	+	2.11268i	−0.561737	+	0.109833i
$371$	−3.58682	−	1.52554i	−0.186218	−	0.0792023i
$372$	−14.6663	+	5.86490i	−0.760410	+	0.304081i
$373$	14.9557	+	8.63469i	0.774378	+	0.447088i	0.834434	−	0.551107i	$-0.185795\pi$
$373$	14.9557	+	8.63469i	0.774378	+	0.447088i	−0.0600559	+	0.998195i	$0.519128\pi$
$374$	−1.11168	−	5.68564i	−0.0574835	−	0.293998i
$375$	−0.117571	+	20.4005i	−0.00607133	+	1.05348i
$376$	−16.7627	+	10.9647i	−0.864469	+	0.565463i
$377$	7.97204			0.410581
$378$	18.5896	−	5.69458i	0.956144	−	0.292898i
$379$		−	5.89717i		−	0.302917i	−0.988464	−	0.151459i	$-0.951603\pi$
$379$		−	5.89717i		−	0.302917i	0.988464	−	0.151459i	$-0.0483971\pi$
$380$	−15.8222	+	6.43316i	−0.811660	+	0.330014i
$381$	18.4473	+	0.106314i	0.945083	+	0.00544664i
$382$	12.6089	−	2.46535i	0.645129	−	0.126138i
$383$	−5.35382	+	9.27310i	−0.273568	+	0.473833i	−0.969773	−	0.244010i	$-0.921537\pi$
$383$	−5.35382	+	9.27310i	−0.273568	+	0.473833i	0.696205	+	0.717843i	$0.254870\pi$
$384$	4.37093	−	19.1022i	0.223053	−	0.974806i
$385$	−11.5873	+	1.41432i	−0.590543	+	0.0720806i
$386$	32.6278	−	6.37951i	1.66071	−	0.324709i
$387$	17.8064	+	10.5560i	0.905148	+	0.536592i
$388$	−4.41984	+	31.9595i	−0.224383	+	1.62250i
$389$	−20.7431	+	11.9760i	−1.05172	+	0.607209i	−0.923130	−	0.384489i	$-0.874378\pi$
$389$	−20.7431	+	11.9760i	−1.05172	+	0.607209i	−0.128588	+	0.991698i	$0.541044\pi$
$390$	15.9612	−	3.02539i	0.808225	−	0.153197i
$391$	−1.05160	−	1.82142i	−0.0531815	−	0.0921131i
$392$	−13.4757	+	14.5053i	−0.680627	+	0.732630i
$393$	−17.3174	−	10.1317i	−0.873545	−	0.511076i
$394$	3.87615	+	19.8244i	0.195278	+	0.998741i
$395$	3.08798	+	1.78285i	0.155373	+	0.0897048i
$396$	−7.90035	+	9.91996i	−0.397008	+	0.498497i
$397$	−26.7213	+	15.4275i	−1.34110	+	0.774285i	−0.986969	−	0.160910i	$-0.948557\pi$
$397$	−26.7213	+	15.4275i	−1.34110	+	0.774285i	−0.354132	+	0.935195i	$0.615224\pi$
$398$	1.66283	−	4.84653i	0.0833499	−	0.242935i
$399$	15.0452	−	11.1853i	0.753204	−	0.559966i
$400$	−2.47317	−	0.697392i	−0.123658	−	0.0348696i
$401$	6.39269	−	11.0725i	0.319236	−	0.552933i	−0.661093	−	0.750304i	$-0.729907\pi$
$401$	6.39269	−	11.0725i	0.319236	−	0.552933i	0.980329	+	0.197371i	$0.0632405\pi$
$402$	−4.59414	−	24.2375i	−0.229135	−	1.20885i
$403$	12.5459	−	7.24339i	0.624956	−	0.360819i
$404$	11.4594	−	14.7342i	0.570128	−	0.733054i
$405$	16.0495	+	9.76622i	0.797506	+	0.485288i
$406$	−9.18424	−	1.94847i	−0.455806	−	0.0967007i
$407$	−3.94123	+	6.82642i	−0.195360	+	0.338373i
$408$	−0.473618	−	9.48322i	−0.0234476	−	0.469489i
$409$	13.5208			0.668559			0.334280	−	0.942474i	$-0.391507\pi$
$409$	13.5208			0.668559			0.334280	+	0.942474i	$0.391507\pi$
$410$	−6.06789	−	31.0341i	−0.299672	−	1.53266i
$411$	4.42612	+	7.76933i	0.218324	+	0.383233i
$412$	−4.14026	+	29.9379i	−0.203976	+	1.47493i
$413$	0.588559	+	4.82195i	0.0289611	+	0.237273i
$414$	−1.54417	+	4.33720i	−0.0758920	+	0.213162i
$415$	−5.94693	−	10.3004i	−0.291923	−	0.505626i
$416$	−1.46777	+	17.9123i	−0.0719632	+	0.878225i
$417$	−16.6235	+	9.47025i	−0.814055	+	0.463760i
$418$	−3.96844	+	11.5666i	−0.194103	+	0.565739i
$419$	−16.2470	+	9.38019i	−0.793716	+	0.458252i	−0.841269	−	0.540616i	$-0.818191\pi$
$419$	−16.2470	+	9.38019i	−0.793716	+	0.458252i	0.0475529	+	0.998869i	$0.484858\pi$
$420$	−19.1276	−	0.415687i	−0.933332	−	0.0202835i
$421$	−32.9556	−	19.0269i	−1.60616	−	0.927316i	−0.990219	−	0.139522i	$-0.955443\pi$
$421$	−32.9556	−	19.0269i	−1.60616	−	0.927316i	−0.615939	−	0.787794i	$-0.711223\pi$
$422$	13.3791	−	11.6562i	0.651283	−	0.567413i
$423$	21.2439	+	0.244871i	1.03292	+	0.0119061i
$424$	4.16043	−	0.231827i	0.202048	−	0.0112585i
$425$	−1.24509			−0.0603955
$426$	−35.9562	+	6.81539i	−1.74208	+	0.330207i
$427$	4.28714	+	35.1237i	0.207469	+	1.69976i
$428$	25.0713	−	32.2359i	1.21187	−	1.55818i
$429$	5.87338	−	10.0389i	0.283569	−	0.484684i
$430$	−13.3808	−	15.3587i	−0.645281	−	0.740662i
$431$	13.8048	−	23.9106i	0.664954	−	1.15173i	−0.314343	−	0.949309i	$-0.601784\pi$
$431$	13.8048	−	23.9106i	0.664954	−	1.15173i	0.979298	−	0.202425i	$-0.0648824\pi$
$432$	−15.1360	+	14.2444i	−0.728229	+	0.685334i
$433$	−34.8165			−1.67317			−0.836587	−	0.547834i	$-0.815452\pi$
$433$	−34.8165			−1.67317			−0.836587	+	0.547834i	$0.815452\pi$
$434$	−16.2240	+	5.27841i	−0.778775	+	0.253372i
$435$	−4.49086	−	7.88296i	−0.215320	−	0.377959i
$436$	−12.0491	−	1.66632i	−0.577045	−	0.0798025i
$437$			4.43938i			0.212364i
$438$	10.8877	−	31.1477i	0.520233	−	1.48829i
$439$	19.4380			0.927723			0.463861	−	0.885908i	$-0.346464\pi$
$439$	19.4380			0.927723			0.463861	+	0.885908i	$0.346464\pi$
$440$	10.4435	−	6.83124i	0.497873	−	0.325667i
$441$	20.4403	−	4.81592i	0.973349	−	0.229330i
$442$	1.67105	+	8.54653i	0.0794837	+	0.406517i
$443$		−	30.6604i		−	1.45672i	−0.685194	−	0.728361i	$-0.740283\pi$
$443$		−	30.6604i		−	1.45672i	0.685194	−	0.728361i	$-0.259717\pi$
$444$	−7.98999	+	10.1520i	−0.379188	+	0.481793i
$445$			5.60774i			0.265833i
$446$	−6.57064	+	19.1510i	−0.311129	+	0.906827i
$447$	34.2469	+	20.0365i	1.61982	+	0.947694i
$448$	6.06895	−	20.2773i	0.286731	−	0.958011i
$449$	−33.5820			−1.58483			−0.792417	−	0.609980i	$-0.791178\pi$
$449$	−33.5820			−1.58483			−0.792417	+	0.609980i	$0.791178\pi$
$450$	1.76654	+	2.07548i	0.0832755	+	0.0978390i
$451$	−19.6064	−	11.3198i	−0.923229	−	0.533027i
$452$	−6.45490	−	5.02026i	−0.303613	−	0.236133i
$453$	−4.79277	−	8.41291i	−0.225184	−	0.395273i
$454$	13.1614	−	11.4665i	0.617696	−	0.538151i
$455$	17.4177	−	2.12598i	0.816556	−	0.0996675i
$456$	−9.14274	+	17.8351i	−0.428148	+	0.835205i
$457$	−8.54204			−0.399580			−0.199790	−	0.979839i	$-0.564026\pi$
$457$	−8.54204			−0.399580			−0.199790	+	0.979839i	$0.564026\pi$
$458$	5.67958	+	1.94864i	0.265389	+	0.0910540i
$459$	−5.18554	+	8.63339i	−0.242040	+	0.402972i
$460$	2.78135	−	3.57618i	0.129681	−	0.166740i
$461$	−13.2662	−	7.65922i	−0.617867	−	0.356726i	0.158171	−	0.987412i	$-0.449440\pi$
$461$	−13.2662	−	7.65922i	−0.617867	−	0.356726i	−0.776038	+	0.630686i	$0.782774\pi$
$462$	−9.22010	+	10.1299i	−0.428958	+	0.471285i
$463$	1.02284	+	1.77162i	0.0475356	+	0.0823340i	0.888814	−	0.458268i	$-0.151530\pi$
$463$	1.02284	+	1.77162i	0.0475356	+	0.0823340i	−0.841279	+	0.540602i	$0.818197\pi$
$464$	9.72796	−	2.47103i	0.451609	−	0.114715i
$465$	−14.2299	−	8.32534i	−0.659895	−	0.386078i
$466$	8.20598	+	9.41892i	0.380135	+	0.436323i
$467$	−14.6990	+	8.48645i	−0.680186	+	0.392706i	−0.799925	−	0.600100i	$-0.795128\pi$
$467$	−14.6990	+	8.48645i	−0.680186	+	0.392706i	0.119739	+	0.992805i	$0.461794\pi$
$468$	11.8756	−	14.9114i	0.548951	−	0.689282i
$469$	−3.22836	−	26.4493i	−0.149072	−	1.22131i
$470$	−19.7750	−	6.78471i	−0.912151	−	0.312955i
$471$	0.105573	−	18.3186i	0.00486453	−	0.844078i
$472$	−2.84276	−	4.34596i	−0.130849	−	0.200039i
$473$	−14.5839			−0.670566
$474$	4.11085	−	0.779199i	0.188818	−	0.0357898i
$475$	2.27600	+	1.31405i	0.104430	+	0.0602928i
$476$	0.163736	−	10.2545i	0.00750480	−	0.470015i
$477$	−3.80180	−	2.25379i	−0.174073	−	0.103194i
$478$	−15.1927	−	17.4383i	−0.694897	−	0.797611i
$479$	3.51906	+	6.09519i	0.160790	+	0.278497i	0.935152	−	0.354246i	$-0.115262\pi$
$479$	3.51906	+	6.09519i	0.160790	+	0.278497i	−0.774362	+	0.632743i	$0.781929\pi$
$480$	18.5390	−	8.63912i	0.846186	−	0.394320i
$481$	5.92437	−	10.2613i	0.270128	−	0.467876i
$482$	10.6627	+	12.2388i	0.485675	+	0.557464i
$483$	−1.97263	+	4.56477i	−0.0897576	+	0.207704i
$484$	−1.78986	+	12.9423i	−0.0813572	+	0.588287i
$485$	−29.1634	+	16.8375i	−1.32424	+	0.764551i
$486$	21.7486	−	3.60519i	0.986538	−	0.163535i
$487$	−0.116861	+	0.202409i	−0.00529547	+	0.00917202i	−0.868661	−	0.495407i	$-0.835019\pi$
$487$	−0.116861	+	0.202409i	−0.00529547	+	0.00917202i	0.863366	+	0.504579i	$0.168352\pi$
$488$	−20.7071	−	31.6566i	−0.937364	−	1.43302i
$489$	−14.8114	+	8.43794i	−0.669795	+	0.381577i
$490$	−20.5858	−	1.80786i	−0.929973	−	0.0816709i
$491$	27.9806	−	16.1546i	1.26275	−	0.729047i	0.289141	−	0.957286i	$-0.406630\pi$
$491$	27.9806	−	16.1546i	1.26275	−	0.729047i	0.973605	+	0.228240i	$0.0732970\pi$
$492$	−29.1580	−	22.9483i	−1.31454	−	1.03459i
$493$	4.21173	−	2.43165i	0.189687	−	0.109516i
$494$	5.96527	−	17.3866i	0.268390	−	0.782260i
$495$	−13.2354	−	0.152560i	−0.594886	−	0.00685704i
$496$	13.0641	−	12.7276i	0.586595	−	0.571485i
$497$	−39.2375	+	4.78926i	−1.76004	+	0.214828i
$498$	−13.1748	−	4.60524i	−0.590375	−	0.206366i
$499$	−25.5053	−	14.7255i	−1.14177	−	0.659203i	−0.194904	−	0.980822i	$-0.562439\pi$
$499$	−25.5053	−	14.7255i	−1.14177	−	0.659203i	−0.946869	+	0.321620i	$0.895773\pi$
$500$	−8.87266	−	21.8221i	−0.396797	−	0.975912i
$501$	−7.44637	−	13.0709i	−0.332679	−	0.583964i
$502$	2.16359	+	11.0656i	0.0965656	+	0.493882i
$503$	−21.8366			−0.973646			−0.486823	−	0.873501i	$-0.661844\pi$
$503$	−21.8366			−0.973646			−0.486823	+	0.873501i	$0.661844\pi$
$504$	−17.3259	+	14.2763i	−0.771758	+	0.635916i
$505$	19.4824			0.866955
$506$	−0.622409	−	3.18329i	−0.0276695	−	0.141515i
$507$	2.54180	−	4.34451i	0.112885	−	0.192946i
$508$	−19.7327	+	8.02315i	−0.875498	+	0.355970i
$509$	−8.88661	−	5.13069i	−0.393892	−	0.227414i	0.289953	−	0.957041i	$-0.406360\pi$
$509$	−8.88661	−	5.13069i	−0.393892	−	0.227414i	−0.683845	+	0.729627i	$0.739694\pi$
$510$	7.50968	−	6.46686i	0.332534	−	0.286357i
$511$	13.9489	−	32.7963i	0.617064	−	1.45082i
$512$	3.76108	+	22.3126i	0.166218	+	0.986089i
$513$	18.5907	−	10.3090i	0.820800	−	0.455153i
$514$	1.76520	−	5.14491i	0.0778596	−	0.226932i
$515$	−27.3186	+	15.7724i	−1.20380	+	0.695016i
$516$	−23.6578	−	3.41082i	−1.04148	−	0.150153i
$517$	−12.9626	+	7.48398i	−0.570096	+	0.329145i
$518$	−9.33320	+	10.3736i	−0.410077	+	0.455791i
$519$	−0.155774	+	27.0294i	−0.00683771	+	1.18646i
$520$	−15.6984	+	10.2686i	−0.688420	+	0.450306i
$521$	5.15611	−	8.93065i	0.225893	−	0.391259i	−0.730694	−	0.682705i	$-0.760803\pi$
$521$	5.15611	−	8.93065i	0.225893	−	0.391259i	0.956587	+	0.291447i	$0.0941366\pi$
$522$	−10.0291	−	3.57065i	−0.438960	−	0.156283i
$523$	2.12012	−	1.22405i	0.0927062	−	0.0535239i	−0.452930	−	0.891546i	$-0.649621\pi$
$523$	2.12012	−	1.22405i	0.0927062	−	0.0535239i	0.545636	+	0.838022i	$0.316288\pi$
$524$	22.9489	+	3.17371i	1.00253	+	0.138644i
$525$	1.75639	+	2.36250i	0.0766552	+	0.103108i
$526$	21.4620	+	24.6344i	0.935789	+	1.07411i
$527$	4.41878	−	7.65355i	0.192485	−	0.333394i
$528$	4.05536	−	14.0706i	0.176487	−	0.612345i
$529$	10.9112	+	18.8988i	0.474401	+	0.821687i
$530$	2.85692	+	3.27920i	0.124097	+	0.142440i
$531$	−0.0634864	+	5.50779i	−0.00275507	+	0.239018i
$532$	−11.1218	+	18.5723i	−0.482192	+	0.805213i
$533$	29.4719	+	17.0156i	1.27657	+	0.737027i
$534$	4.29381	+	4.98622i	0.185811	+	0.215775i
$535$	42.6242			1.84280
$536$	15.5931	+	23.8384i	0.673518	+	1.02966i
$537$	3.05369	+	1.78659i	0.131777	+	0.0770973i
$538$	29.9782	+	10.2854i	1.29245	+	0.443436i
$539$	−10.6574	+	10.2623i	−0.459047	+	0.442029i
$540$	−21.4347	−	3.34293i	−0.922402	−	0.143857i
$541$	31.7441	−	18.3275i	1.36479	−	0.787960i	0.374530	−	0.927215i	$-0.377804\pi$
$541$	31.7441	−	18.3275i	1.36479	−	0.787960i	0.990257	+	0.139255i	$0.0444707\pi$
$542$	26.6795	+	30.6231i	1.14598	+	1.31538i
$543$	0.176526	−	30.6302i	0.00757546	−	1.31447i
$544$	4.68821	+	9.91102i	0.201005	+	0.424932i
$545$	−6.34790	−	10.9949i	−0.271914	−	0.470969i
$546$	13.8594	−	15.2270i	0.593129	−	0.651656i
$547$	−18.8306	−	10.8719i	−0.805140	−	0.464848i	0.0401254	−	0.999195i	$-0.487224\pi$
$547$	−18.8306	−	10.8719i	−0.805140	−	0.464848i	−0.845265	+	0.534347i	$0.820558\pi$
$548$	−8.15013	−	6.33872i	−0.348156	−	0.270777i
$549$	−0.462443	+	40.1195i	−0.0197366	+	1.71226i
$550$	−1.81626	−	0.623151i	−0.0774455	−	0.0265712i
$551$	−10.2653			−0.437319
$552$	−0.265171	−	5.30949i	−0.0112864	−	0.225987i
$553$	4.48599	−	0.547552i	0.190764	−	0.0232843i
$554$	−2.17784	+	1.89738i	−0.0925275	+	0.0806120i
$555$	−13.4840	−	0.0777101i	−0.572364	−	0.00329861i
$556$	13.5625	−	17.4383i	0.575178	−	0.739547i
$557$	20.2911	+	11.7151i	0.859761	+	0.496383i	0.863932	−	0.503608i	$-0.167995\pi$
$557$	20.2911	+	11.7151i	0.859761	+	0.496383i	−0.00417156	+	0.999991i	$0.501328\pi$
$558$	−19.0274	+	3.49311i	−0.805494	+	0.147875i
$559$	21.9221			0.927206
$560$	20.5952	−	7.99308i	0.870305	−	0.337769i
$561$	0.0408906	−	7.09520i	0.00172640	−	0.299560i
$562$	−2.58095	+	7.52253i	−0.108871	+	0.317319i
$563$			37.8589i			1.59556i	0.602947	+	0.797781i	$0.293993\pi$
$563$			37.8589i			1.59556i	−0.602947	+	0.797781i	$0.706007\pi$
$564$	−22.7783	+	9.10882i	−0.959138	+	0.383550i
$565$		−	8.53503i		−	0.359071i
$566$	4.94057	+	25.2684i	0.207668	+	1.06211i
$567$	23.6966	−	2.33942i	0.995162	−	0.0982465i
$568$	35.3642	−	23.1323i	1.48385	−	0.970610i
$569$	39.7521			1.66649			0.833247	−	0.552901i	$-0.186479\pi$
$569$	39.7521			1.66649			0.833247	+	0.552901i	$0.186479\pi$
$570$	−20.5527	+	3.89570i	−0.860858	+	0.163173i
$571$			38.9311i			1.62922i	0.580012	+	0.814608i	$0.303048\pi$
$571$			38.9311i			1.62922i	−0.580012	+	0.814608i	$0.696952\pi$
$572$	−1.83981	+	13.3035i	−0.0769264	+	0.556248i
$573$	15.7349	+	0.0906823i	0.657334	+	0.00378831i
$574$	−29.7944	−	26.8062i	−1.24360	−	1.11887i
$575$	−0.697101			−0.0290711
$576$	9.86937	−	21.8768i	0.411224	−	0.911534i
$577$	−4.31231	+	7.46914i	−0.179524	+	0.310944i	−0.941718	−	0.336405i	$-0.890789\pi$
$577$	−4.31231	+	7.46914i	−0.179524	+	0.310944i	0.762194	+	0.647349i	$0.224122\pi$
$578$	−12.3030	−	14.1215i	−0.511737	−	0.587378i
$579$	40.7168	+	0.234656i	1.69213	+	0.00975198i
$580$	8.26933	+	6.43142i	0.343365	+	0.267050i
$581$	−13.8721	−	5.90008i	−0.575512	−	0.244777i
$582$	−13.0388	+	37.3016i	−0.540475	+	1.54620i
$583$	3.11377			0.128959
$584$	2.11973	+	38.0412i	0.0877150	+	1.57416i
$585$	19.8951	+	0.229324i	0.822562	+	0.00948138i
$586$	4.15797	−	3.62252i	0.171764	−	0.149645i
$587$	37.3474	+	21.5625i	1.54149	+	0.889980i	0.998745	+	0.0500828i	$0.0159485\pi$
$587$	37.3474	+	21.5625i	1.54149	+	0.889980i	0.542745	+	0.839897i	$0.317385\pi$
$588$	−19.6885	+	14.1549i	−0.811941	+	0.583740i
$589$	−16.1550	+	9.32708i	−0.665654	+	0.384316i
$590$	1.75903	−	5.12694i	0.0724182	−	0.211073i
$591$	−0.142575	+	24.7392i	−0.00586477	+	1.01764i
$592$	4.04865	−	14.3578i	0.166399	−	0.590102i
$593$	4.09789	+	7.09775i	0.168280	+	0.291470i	0.937815	−	0.347135i	$-0.112845\pi$
$593$	4.09789	+	7.09775i	0.168280	+	0.291470i	−0.769535	+	0.638604i	$0.779512\pi$
$594$	−11.8853	+	9.99859i	−0.487659	+	0.410247i
$595$	8.55355	−	6.43597i	0.350661	−	0.263849i
$596$	−45.3838	−	6.27636i	−1.85899	−	0.257090i
$597$	3.16897	−	5.41649i	0.129698	−	0.221682i
$598$	0.935591	+	4.78505i	0.0382592	+	0.195675i
$599$	−3.65143			−0.149194			−0.0745968	−	0.997214i	$-0.523767\pi$
$599$	−3.65143			−0.149194			−0.0745968	+	0.997214i	$0.523767\pi$
$600$	−2.80058	−	1.43565i	−0.114333	−	0.0586103i
$601$	−10.4390	+	18.0809i	−0.425816	+	0.737534i	−0.996496	−	0.0836378i	$-0.973346\pi$
$601$	−10.4390	+	18.0809i	−0.425816	+	0.737534i	0.570681	+	0.821172i	$0.306679\pi$
$602$	−25.2555	−	5.35803i	−1.02934	−	0.218377i
$603$	0.348234	−	30.2112i	0.0141812	−	1.23030i
$604$	8.82526	+	6.86379i	0.359095	+	0.279284i
$605$	−11.8100	+	6.81851i	−0.480145	+	0.277212i
$606$	17.3231	−	14.9175i	0.703703	−	0.605984i
$607$	−10.7600	+	18.6369i	−0.436735	+	0.756447i	−0.997435	−	0.0715719i	$-0.977198\pi$
$607$	−10.7600	+	18.6369i	−0.436735	+	0.756447i	0.560701	+	0.828018i	$0.310532\pi$
$608$	1.89000	−	23.0652i	0.0766495	−	0.935416i
$609$	−10.5553	−	4.56138i	−0.427721	−	0.184836i
$610$	12.8130	−	37.3453i	0.518784	−	1.51207i
$611$	19.4851	−	11.2498i	0.788284	−	0.455116i
$612$	1.72574	−	11.5002i	0.0697587	−	0.464870i
$613$	0.0282912	+	0.0163340i	0.00114267	+	0.000659722i	0.500571	−	0.865695i	$-0.333123\pi$
$613$	0.0282912	+	0.0163340i	0.00114267	+	0.000659722i	−0.499429	+	0.866355i	$0.666457\pi$
$614$	−4.58921	−	23.4714i	−0.185206	−	0.947229i
$615$	0.223194	−	38.7279i	0.00900005	−	1.56166i
$616$	5.37111	−	14.8767i	0.216408	−	0.599401i
$617$	19.8817	+	34.4362i	0.800408	+	1.38635i	0.919348	+	0.393446i	$0.128717\pi$
$617$	19.8817	+	34.4362i	0.800408	+	1.38635i	−0.118940	+	0.992901i	$0.537950\pi$
$618$	−12.2140	+	34.9420i	−0.491319	+	1.40557i
$619$	14.2900	−	8.25036i	0.574366	−	0.331610i	−0.184526	−	0.982828i	$-0.559075\pi$
$619$	14.2900	−	8.25036i	0.574366	−	0.331610i	0.758891	+	0.651218i	$0.225741\pi$
$620$	18.8574	+	2.60788i	0.757330	+	0.104735i
$621$	−2.90329	+	4.83368i	−0.116505	+	0.193969i
$622$	−22.6242	+	4.42358i	−0.907150	+	0.177369i
$623$	4.27331	+	5.67932i	0.171206	+	0.227537i
$624$	−6.09592	+	21.1506i	−0.244032	+	0.846703i
$625$	10.6877	−	18.5116i	0.427506	−	0.740462i
$626$	−12.2756	+	2.40016i	−0.490630	+	0.0959298i
$627$	−7.56296	+	12.9268i	−0.302036	+	0.516247i
$628$	7.96720	+	19.5951i	0.317926	+	0.781930i
$629$		−	7.22825i		−	0.288209i
$630$	−22.8642	−	5.12680i	−0.910933	−	0.204257i
$631$	−8.60804			−0.342680			−0.171340	−	0.985212i	$-0.554810\pi$
$631$	−8.60804			−0.342680			−0.171340	+	0.985212i	$0.554810\pi$
$632$	−4.04317	+	2.64470i	−0.160829	+	0.105200i
$633$	18.8831	−	10.7576i	0.750537	−	0.427575i
$634$	0.646761	+	3.30784i	0.0256861	+	0.131371i
$635$	−19.2545	−	11.1166i	−0.764093	−	0.441149i
$636$	5.05114	+	0.728239i	0.200291	+	0.0288765i
$637$	16.0200	−	15.4261i	0.634735	−	0.611203i
$638$	7.36085	−	1.43922i	0.291419	−	0.0569792i
$639$	−44.8183	−	0.516605i	−1.77299	−	0.0204366i
$640$	−15.9732	+	17.3962i	−0.631398	+	0.687645i
$641$	11.1674	+	19.3426i	0.441087	+	0.763985i	0.997770	−	0.0667398i	$-0.0212597\pi$
$641$	11.1674	+	19.3426i	0.441087	+	0.763985i	−0.556684	+	0.830725i	$0.687926\pi$
$642$	37.9000	−	32.6371i	1.49579	−	1.28808i
$643$	43.2348	−	24.9616i	1.70501	−	0.984391i	0.764509	−	0.644613i	$-0.222981\pi$
$643$	43.2348	−	24.9616i	1.70501	−	0.984391i	0.940506	−	0.339778i	$-0.110352\pi$
$644$	0.0916726	−	5.74132i	0.00361241	−	0.226240i
$645$	−12.3493	−	21.6771i	−0.486253	−	0.853537i
$646$	−2.15176	−	11.0051i	−0.0846598	−	0.432990i
$647$	−13.5858	+	23.5314i	−0.534114	+	0.925113i	0.465091	+	0.885263i	$0.346022\pi$
$647$	−13.5858	+	23.5314i	−0.534114	+	0.925113i	−0.999206	+	0.0398505i	$0.987312\pi$
$648$	−21.6187	+	13.4400i	−0.849262	+	0.527972i
$649$	−1.94033	−	3.36075i	−0.0761645	−	0.131921i
$650$	2.73016	+	0.936706i	0.107086	+	0.0367406i
$651$	−20.7557	+	2.41209i	−0.813481	+	0.0945374i
$652$	12.0841	−	15.5374i	0.473250	−	0.608491i
$653$	−0.444779	−	0.256793i	−0.0174055	−	0.0100491i	0.491272	−	0.871006i	$-0.336532\pi$
$653$	−0.444779	−	0.256793i	−0.0174055	−	0.0100491i	−0.508678	+	0.860957i	$0.669865\pi$
$654$	−14.0631	−	4.91575i	−0.549910	−	0.192221i
$655$	12.0903	+	20.9411i	0.472409	+	0.818236i
$656$	41.2375	+	11.6283i	1.61006	+	0.454008i
$657$	20.6077	−	34.7621i	0.803984	−	1.35620i
$658$	−25.1975	+	8.19793i	−0.982303	+	0.319589i
$659$	39.1293	+	22.5913i	1.52426	+	0.880033i	0.999587	+	0.0287297i	$0.00914620\pi$
$659$	39.1293	+	22.5913i	1.52426	+	0.880033i	0.524674	+	0.851303i	$0.324187\pi$
$660$	14.1913	−	5.67497i	0.552395	−	0.220898i
$661$		−	13.9139i		−	0.541186i	−0.962694	−	0.270593i	$-0.912780\pi$
$661$		−	13.9139i		−	0.541186i	0.962694	−	0.270593i	$-0.0872198\pi$
$662$	4.27335	+	21.8559i	0.166088	+	0.849454i
$663$	−0.0614658	+	10.6653i	−0.00238713	+	0.414208i
$664$	16.0906	−	0.896598i	0.624435	−	0.0347947i
$665$	−22.4283	+	2.73756i	−0.869731	+	0.106158i
$666$	−12.0490	+	10.2555i	−0.466891	+	0.397393i
$667$	2.35808	−	1.36144i	0.0913051	−	0.0527150i
$668$	13.7115	+	10.6641i	0.530515	+	0.412605i
$669$	−12.5222	+	21.4032i	−0.484135	+	0.827496i
$670$	−9.64861	+	28.1222i	−0.372758	+	1.08646i
$671$	−14.1336	−	24.4801i	−0.545622	−	0.945044i
$672$	12.1923	−	22.8768i	0.470329	−	0.882491i
$673$	9.09192	−	15.7477i	0.350468	−	0.607028i	−0.635864	−	0.771801i	$-0.719356\pi$
$673$	9.09192	−	15.7477i	0.350468	−	0.607028i	0.986331	+	0.164774i	$0.0526894\pi$
$674$	25.8253	+	29.6426i	0.994752	+	1.14179i
$675$	1.61879	+	2.91924i	0.0623071	+	0.112362i
$676$	−0.796209	+	5.75732i	−0.0306234	+	0.221435i
$677$		−	4.37985i		−	0.168331i	−0.996452	−	0.0841657i	$-0.973178\pi$
$677$		−	4.37985i		−	0.168331i	0.996452	−	0.0841657i	$-0.0268225\pi$
$678$	−6.53522	−	7.58907i	−0.250984	−	0.291457i
$679$	−16.7048	+	39.2760i	−0.641073	+	1.50727i
$680$	−5.16153	+	10.2134i	−0.197936	+	0.391665i
$681$	18.5759	−	10.5826i	0.711832	−	0.405525i
$682$	10.2764	−	8.95301i	0.393503	−	0.342829i
$683$	−24.1026	−	13.9157i	−0.922261	−	0.532468i	−0.0379056	−	0.999281i	$-0.512069\pi$
$683$	−24.1026	−	13.9157i	−0.922261	−	0.532468i	−0.884356	+	0.466813i	$0.845402\pi$
$684$	−15.2919	+	19.2010i	−0.584700	+	0.734169i
$685$		−	10.7766i		−	0.411751i
$686$	−22.2262	+	13.8562i	−0.848601	+	0.529033i
$687$	6.34751	+	3.71367i	0.242173	+	0.141686i
$688$	26.7507	−	6.79502i	1.01986	−	0.259058i
$689$	−4.68055			−0.178315
$690$	4.20454	−	3.62068i	0.160064	−	0.137837i
$691$			0.242204i			0.00921386i	0.999989	+	0.00460693i	$0.00146644\pi$
$691$			0.242204i			0.00921386i	−0.999989	+	0.00460693i	$0.998534\pi$
$692$	−11.7557	−	28.9128i	−0.446884	−	1.09910i
$693$	−13.5206	+	9.93133i	−0.513604	+	0.377260i
$694$	−8.13621	−	41.6124i	−0.308846	−	1.57958i
$695$	23.0578			0.874634
$696$	12.2773	−	0.613163i	0.465371	−	0.0232419i
$697$	20.7605			0.786360
$698$	11.1513	+	3.82596i	0.422082	+	0.144815i
$699$	7.57337	+	13.2938i	0.286451	+	0.502818i
$700$	−2.91635	−	1.74642i	−0.110228	−	0.0660086i
$701$			44.4023i			1.67705i	0.544863	+	0.838525i	$0.316582\pi$
$701$			44.4023i			1.67705i	−0.544863	+	0.838525i	$0.683418\pi$
$702$	17.8657	−	15.0297i	0.674296	−	0.567258i
$703$	−7.62863	+	13.2132i	−0.287719	+	0.498344i
$704$	1.87854	+	16.8040i	0.0708001	+	0.633326i
$705$	−22.1005	−	12.9301i	−0.832354	−	0.486977i
$706$	16.0527	+	18.4255i	0.604151	+	0.693452i
$707$	19.7311	−	14.8463i	0.742063	−	0.558352i
$708$	−2.36159	−	5.90558i	−0.0887540	−	0.221945i
$709$			23.8203i			0.894589i	0.894387	+	0.447295i	$0.147612\pi$
$709$			23.8203i			0.894589i	−0.894387	+	0.447295i	$0.852388\pi$
$710$	41.7192	+	14.3137i	1.56569	+	0.537183i
$711$	5.12405	+	0.0590631i	0.192167	+	0.00221504i
$712$	−6.78139	−	3.42711i	−0.254143	−	0.128436i
$713$	2.47400	−	4.28509i	0.0926519	−	0.160478i
$714$	2.67755	−	12.2721i	0.100205	−	0.459270i
$715$	−12.1396	+	7.00881i	−0.453996	+	0.262115i
$716$	−4.04674	−	0.559644i	−0.151234	−	0.0209149i
$717$	−14.0215	−	24.6124i	−0.523641	−	0.919166i
$718$	23.5662	+	27.0496i	0.879483	+	1.00948i
$719$	−0.592285	−	1.02587i	−0.0220885	−	0.0382584i	0.854770	−	0.519007i	$-0.173698\pi$
$719$	−0.592285	−	1.02587i	−0.0220885	−	0.0382584i	−0.876858	+	0.480749i	$0.840365\pi$
$720$	24.3483	−	5.88689i	0.907407	−	0.219391i
$721$	−15.6482	+	36.7915i	−0.582768	+	1.37019i
$722$	1.03875	−	3.02758i	0.0386583	−	0.112675i
$723$	9.84075	+	17.2738i	0.365981	+	0.642420i
$724$	13.3218	+	32.7646i	0.495101	+	1.21769i
$725$		−	1.61193i		−	0.0598657i
$726$	−5.28018	+	15.1056i	−0.195966	+	0.560623i
$727$	5.97183	−	10.3435i	0.221483	−	0.383620i	−0.733776	−	0.679392i	$-0.762244\pi$
$727$	5.97183	−	10.3435i	0.221483	−	0.383620i	0.955258	+	0.295772i	$0.0955770\pi$
$728$	−8.07373	+	22.3624i	−0.299232	+	0.828805i
$729$	26.9839	+	0.933431i	0.999402	+	0.0345715i
$730$	−29.9836	+	26.1224i	−1.10974	+	0.966834i
$731$	11.5817	−	6.68672i	0.428366	−	0.247317i
$732$	−17.2021	−	43.0170i	−0.635809	−	1.58996i
$733$	−33.7318	−	19.4750i	−1.24591	−	0.719327i	−0.275620	−	0.961267i	$-0.588883\pi$
$733$	−33.7318	−	19.4750i	−1.24591	−	0.719327i	−0.970291	+	0.241940i	$0.922216\pi$
$734$	−19.8320	−	22.7634i	−0.732012	−	0.840213i
$735$	−24.2782	−	7.15106i	−0.895513	−	0.263771i
$736$	2.62485	+	5.54901i	0.0967532	+	0.204539i
$737$	10.6431	+	18.4343i	0.392042	+	0.679037i
$738$	−29.4552	−	34.6065i	−1.08426	−	1.27388i
$739$	8.20252	+	4.73573i	0.301735	+	0.174206i	0.643222	−	0.765680i	$-0.277597\pi$
$739$	8.20252	+	4.73573i	0.301735	+	0.174206i	−0.341487	+	0.939886i	$0.610931\pi$
$740$	14.4236	−	5.86450i	0.530222	−	0.215583i
$741$	11.3685	−	19.4313i	0.417631	−	0.713826i
$742$	5.39225	+	1.14398i	0.197956	+	0.0419970i
$743$	−2.42957	−	4.20814i	−0.0891323	−	0.154382i	0.818012	−	0.575201i	$-0.195076\pi$
$743$	−2.42957	−	4.20814i	−0.0891323	−	0.154382i	−0.907145	+	0.420819i	$0.861743\pi$
$744$	18.7642	−	12.1201i	0.687929	−	0.444345i
$745$	−23.9099	−	41.4132i	−0.875992	−	1.51726i
$746$	−23.1008	−	7.92578i	−0.845779	−	0.290183i
$747$	−14.7036	−	8.71660i	−0.537975	−	0.318924i
$748$	3.08587	+	7.58961i	0.112831	+	0.277504i
$749$	43.1682	−	32.4812i	1.57733	−	1.18684i
$750$	−5.37298	−	28.3464i	−0.196194	−	1.03507i
$751$	10.9187	−	18.9117i	0.398427	−	0.690097i	−0.595105	−	0.803648i	$-0.702889\pi$
$751$	10.9187	−	18.9117i	0.398427	−	0.690097i	0.993532	+	0.113552i	$0.0362227\pi$
$752$	20.2899	−	19.7673i	0.739898	−	0.720838i
$753$	−0.0795827	+	13.8089i	−0.00290015	+	0.503225i
$754$	−11.0647	+	2.16340i	−0.402951	+	0.0787864i
$755$			11.6693i			0.424688i
$756$	−24.2557	+	12.9484i	−0.882171	+	0.470929i
$757$			41.8812i			1.52220i	0.648637	+	0.761098i	$0.275340\pi$
$757$			41.8812i			1.52220i	−0.648637	+	0.761098i	$0.724660\pi$
$758$	1.60034	+	8.18488i	0.0581269	+	0.297288i
$759$	0.0228939	−	3.97248i	0.000830997	−	0.144192i
$760$	20.2143	−	13.2225i	0.733250	−	0.479631i
$761$	8.00426	−	13.8638i	0.290154	−	0.502562i	−0.683692	−	0.729771i	$-0.739627\pi$
$761$	8.00426	−	13.8638i	0.290154	−	0.502562i	0.973846	+	0.227209i	$0.0729601\pi$
$762$	−25.6324	+	4.85855i	−0.928565	+	0.176007i
$763$	−14.8074	−	6.29789i	−0.536065	−	0.227999i
$764$	−16.8313	+	6.84347i	−0.608936	+	0.247588i
$765$	10.5808	−	5.94728i	0.382549	−	0.215025i
$766$	4.91427	−	14.3233i	0.177560	−	0.517522i
$767$	2.91666	+	5.05180i	0.105314	+	0.182410i
$768$	−0.882717	+	27.6988i	−0.0318523	+	0.999493i
$769$	−1.53577	−	2.66004i	−0.0553814	−	0.0959234i	0.837006	−	0.547194i	$-0.184304\pi$
$769$	−1.53577	−	2.66004i	−0.0553814	−	0.0959234i	−0.892387	+	0.451271i	$0.850971\pi$
$770$	15.6986	−	5.10747i	0.565737	−	0.184060i
$771$	3.36407	−	5.74996i	0.121154	−	0.207080i
$772$	−43.5540	+	17.7087i	−1.56754	+	0.637349i
$773$	−3.90213	−	2.25290i	−0.140350	−	0.0810311i	0.428181	−	0.903693i	$-0.359155\pi$
$773$	−3.90213	−	2.25290i	−0.140350	−	0.0810311i	−0.568531	+	0.822662i	$0.692488\pi$
$774$	−27.5786	−	9.81884i	−0.991294	−	0.352931i
$775$	−1.46460	−	2.53676i	−0.0526100	−	0.0911232i
$776$	−2.53853	−	45.5571i	−0.0911279	−	1.63540i
$777$	−13.7153	+	10.1966i	−0.492034	+	0.365801i
$778$	25.5401	−	22.2511i	0.915655	−	0.797739i
$779$	−37.9500	−	21.9105i	−1.35970	−	0.785024i
$780$	−21.3320	+	8.53048i	−0.763809	+	0.305440i
$781$	27.3473	−	15.7890i	0.978563	−	0.564973i
$782$	1.95383	+	2.24263i	0.0698688	+	0.0801963i
$783$	−11.1771	−	6.71339i	−0.399437	−	0.239917i
$784$	14.7670	−	23.7894i	0.527394	−	0.849621i
$785$	−11.0391	+	19.1203i	−0.394002	+	0.682431i
$786$	26.7848	+	9.36263i	0.955382	+	0.333954i
$787$		−	37.9119i		−	1.35141i	−0.737171	−	0.675706i	$-0.763839\pi$
$787$		−	37.9119i		−	1.35141i	0.737171	−	0.675706i	$-0.236161\pi$
$788$	−10.7597	−	26.4631i	−0.383297	−	0.942709i
$789$	19.8075	+	34.7688i	0.705166	+	1.23780i
$790$	−4.76973	−	1.63647i	−0.169699	−	0.0582231i
$791$	−6.50401	−	8.64397i	−0.231256	−	0.307344i
$792$	8.27314	−	15.9122i	0.293973	−	0.565415i
$793$	21.2453	+	36.7979i	0.754443	+	1.30673i
$794$	32.9007	−	28.6638i	1.16760	−	1.01724i
$795$	2.63667	+	4.62825i	0.0935132	+	0.164147i
$796$	−0.992669	+	7.17791i	−0.0351842	+	0.254414i
$797$	−10.6060	+	6.12338i	−0.375684	+	0.216901i	−0.675939	−	0.736958i	$-0.736262\pi$
$797$	−10.6060	+	6.12338i	−0.375684	+	0.216901i	0.300255	+	0.953859i	$0.402928\pi$
$798$	−17.8464	+	19.6073i	−0.631754	+	0.694092i
$799$	6.86284	−	11.8868i	0.242790	−	0.420524i
$800$	3.62184	+	0.296780i	0.128052	+	0.0104928i
$801$	3.94883	+	7.02535i	0.139525	+	0.248229i
$802$	−5.86785	+	17.1026i	−0.207201	+	0.603915i
$803$			28.4710i			1.00472i
$804$	12.9538	+	32.3932i	0.456844	+	1.14242i
$805$	4.78898	−	3.60339i	0.168789	−	0.127003i
$806$	−15.4472	+	13.4580i	−0.544105	+	0.474036i
$807$	33.5037	+	19.6017i	1.17939	+	0.690013i
$808$	−11.9065	+	23.5599i	−0.418868	+	0.828833i
$809$	12.0018	−	20.7878i	0.421962	−	0.730859i	−0.574169	−	0.818737i	$-0.694675\pi$
$809$	12.0018	−	20.7878i	0.421962	−	0.730859i	0.996131	+	0.0878770i	$0.0280083\pi$
$810$	−24.9259	−	9.19945i	−0.875807	−	0.323236i
$811$		−	17.9767i		−	0.631246i	−0.948885	−	0.315623i	$-0.897786\pi$
$811$		−	17.9767i		−	0.631246i	0.948885	−	0.315623i	$-0.102214\pi$
$812$	13.2759	+	0.211978i	0.465891	+	0.00743897i
$813$	24.6228	+	43.2213i	0.863559	+	1.51584i
$814$	3.61766	−	10.5442i	0.126799	−	0.369572i
$815$	20.5444			0.719639
$816$	3.23085	+	13.0335i	0.113102	+	0.456265i
$817$	−28.2284			−0.987587
$818$	−18.7659	+	3.66918i	−0.656135	+	0.128290i
$819$	20.3238	−	14.9286i	0.710171	−	0.521646i
$820$	16.8437	+	41.4265i	0.588206	+	1.44668i
$821$			21.0786i			0.735648i	0.929895	+	0.367824i	$0.119897\pi$
$821$			21.0786i			0.735648i	−0.929895	+	0.367824i	$0.880103\pi$
$822$	−8.25155	−	9.58217i	−0.287806	−	0.334216i
$823$	−5.49424			−0.191517			−0.0957587	−	0.995405i	$-0.530528\pi$
$823$	−5.49424			−0.191517			−0.0957587	+	0.995405i	$0.530528\pi$
$824$	−2.37795	−	42.6753i	−0.0828398	−	1.48666i
$825$	−2.02985	−	1.18759i	−0.0706704	−	0.0413465i
$826$	−2.12543	−	6.53282i	−0.0739532	−	0.227306i
$827$			33.9081i			1.17910i	0.807732	+	0.589550i	$0.200695\pi$
$827$			33.9081i			1.17910i	−0.807732	+	0.589550i	$0.799305\pi$
$828$	0.966209	−	6.43878i	0.0335781	−	0.223763i
$829$	−33.0343	−	19.0724i	−1.14733	−	0.662411i	−0.199094	−	0.979980i	$-0.563800\pi$
$829$	−33.0343	−	19.0724i	−1.14733	−	0.662411i	−0.948235	+	0.317570i	$0.897133\pi$
$830$	11.0492	+	12.6824i	0.383523	+	0.440213i
$831$	−3.07379	+	1.75111i	−0.106628	+	0.0607454i
$832$	−2.82378	−	25.2594i	−0.0978968	−	0.875713i
$833$	3.75828	−	13.0362i	0.130217	−	0.451679i
$834$	20.5023	−	17.6552i	0.709936	−	0.611351i
$835$			18.1302i			0.627420i
$836$	2.36907	−	17.1305i	0.0819359	−	0.592472i
$837$	−23.6896	−	0.409616i	−0.818833	−	0.0141584i
$838$	20.0042	−	17.4281i	0.691032	−	0.602043i
$839$	−3.68203	+	6.37747i	−0.127118	+	0.220175i	−0.922559	−	0.385856i	$-0.873906\pi$
$839$	−3.68203	+	6.37747i	−0.127118	+	0.220175i	0.795441	+	0.606031i	$0.207239\pi$
$840$	26.6606	−	4.61378i	0.919879	−	0.159191i
$841$	−11.3519	−	19.6621i	−0.391445	−	0.678002i
$842$	50.9036	+	17.4648i	1.75425	+	0.601877i
$843$	−4.91871	+	8.40720i	−0.169410	+	0.289559i
$844$	−15.4061	+	19.8087i	−0.530299	+	0.681843i
$845$	−5.25362	+	3.03318i	−0.180730	+	0.104344i
$846$	−29.5516	+	5.42518i	−1.01600	+	0.186521i
$847$	−6.76479	+	15.9052i	−0.232441	+	0.546509i
$848$	−5.71148	+	1.45079i	−0.196133	+	0.0498204i
$849$	−0.181728	+	31.5328i	−0.00623689	+	1.08220i
$850$	1.72809	−	0.337883i	0.0592731	−	0.0115893i
$851$		−	4.04697i		−	0.138728i
$852$	48.0553	−	19.2169i	1.64635	−	0.658359i
$853$	−15.2101	−	8.78158i	−0.520785	−	0.300675i	0.216471	−	0.976289i	$-0.430545\pi$
$853$	−15.2101	−	8.78158i	−0.520785	−	0.300675i	−0.737256	+	0.675614i	$0.763879\pi$
$854$	−15.4819	−	47.5859i	−0.529780	−	1.62836i
$855$	−25.6183	−	0.295293i	−0.876128	−	0.0100988i
$856$	−26.0493	+	51.5450i	−0.890347	+	1.76177i
$857$	−26.6268	−	46.1190i	−0.909556	−	1.57540i	−0.814682	−	0.579907i	$-0.803089\pi$
$857$	−26.6268	−	46.1190i	−0.909556	−	1.57540i	−0.0948733	−	0.995489i	$-0.530245\pi$
$858$	−5.42755	+	15.5272i	−0.185293	+	0.530091i
$859$	9.60828	+	5.54734i	0.327830	+	0.189273i	0.654877	−	0.755735i	$-0.272720\pi$
$859$	9.60828	+	5.54734i	0.327830	+	0.189273i	−0.327047	+	0.945008i	$0.606054\pi$
$860$	22.7396	+	17.6856i	0.775415	+	0.603074i
$861$	−29.2860	−	39.3923i	−0.998065	−	1.34249i
$862$	−12.6714	+	36.9326i	−0.431591	+	1.25793i
$863$	−3.24369	−	5.61824i	−0.110417	−	0.191247i	0.805522	−	0.592566i	$-0.201885\pi$
$863$	−3.24369	−	5.61824i	−0.110417	−	0.191247i	−0.915938	+	0.401319i	$0.868552\pi$
$864$	17.1421	−	23.8778i	0.583187	−	0.812338i
$865$	16.2883	−	28.2122i	0.553819	−	0.959243i
$866$	48.3229	−	9.44828i	1.64208	−	0.321066i
$867$	−11.3545	−	19.9310i	−0.385620	−	0.676893i
$868$	21.0854	−	11.7288i	0.715683	−	0.398103i
$869$	−3.12659	+	1.80514i	−0.106062	+	0.0612352i
$870$	8.37223	+	9.72231i	0.283845	+	0.329617i
$871$	−15.9984	−	27.7100i	−0.542085	−	0.938919i
$872$	17.1755	−	0.957050i	0.581635	−	0.0324098i
$873$	−24.6792	+	41.6301i	−0.835265	+	1.40896i
$874$	−1.20473	−	6.16156i	−0.0407507	−	0.208418i
$875$	−3.77566	−	30.9332i	−0.127641	−	1.04573i
$876$	−6.65870	+	46.1855i	−0.224977	+	1.56046i
$877$	30.4317	+	17.5698i	1.02761	+	0.593289i	0.916298	−	0.400497i	$-0.131162\pi$
$877$	30.4317	+	17.5698i	1.02761	+	0.593289i	0.111309	+	0.993786i	$0.464496\pi$
$878$	−26.9786	+	5.27495i	−0.910482	+	0.178021i
$879$	5.86853	−	3.34325i	0.197941	−	0.112765i
$880$	−12.6410	+	12.3154i	−0.426128	+	0.415151i
$881$	−31.6076			−1.06489			−0.532443	−	0.846466i	$-0.678726\pi$
$881$	−31.6076			−1.06489			−0.532443	+	0.846466i	$0.678726\pi$
$882$	−27.0629	+	12.2311i	−0.911254	+	0.411844i
$883$		−	15.8283i		−	0.532664i	−0.963881	−	0.266332i	$-0.914188\pi$
$883$		−	15.8283i		−	0.532664i	0.963881	−	0.266332i	$-0.0858118\pi$
$884$	−4.63861	−	11.4085i	−0.156013	−	0.383710i
$885$	3.35232	−	5.72987i	0.112687	−	0.192608i
$886$	8.32043	+	42.5546i	0.279530	+	1.42965i
$887$	−3.56957	+	6.18268i	−0.119855	+	0.207594i	−0.919710	−	0.392599i	$-0.871576\pi$
$887$	−3.56957	+	6.18268i	−0.119855	+	0.207594i	0.799855	+	0.600193i	$0.204909\pi$
$888$	8.33457	−	16.2586i	0.279690	−	0.545602i
$889$	−27.9716	+	3.41416i	−0.938136	+	0.114507i
$890$	−1.52179	−	7.78317i	−0.0510106	−	0.260892i
$891$	−16.6886	+	9.12889i	−0.559091	+	0.305829i
$892$	3.92252	−	28.3634i	0.131336	−	0.949677i
$893$	−25.0904	+	14.4860i	−0.839618	+	0.484754i
$894$	−52.9698	−	18.5156i	−1.77157	−	0.619254i
$895$	−2.13198	−	3.69269i	−0.0712641	−	0.123433i
$896$	−2.92057	+	29.7904i	−0.0975693	+	0.995229i
$897$	−0.0344136	+	5.97134i	−0.00114904	+	0.199377i
$898$	46.6096	−	9.11328i	1.55538	−	0.304114i
$899$	9.90857	+	5.72072i	0.330469	+	0.190797i
$900$	−3.01507	−	2.40123i	−0.100502	−	0.0800411i
$901$	−2.47280	+	1.42767i	−0.0823808	+	0.0475626i
$902$	30.2842	+	10.3904i	1.00835	+	0.345962i
$903$	−29.0257	−	12.5432i	−0.965915	−	0.417412i
$904$	10.3213	+	5.21609i	0.343282	+	0.173485i
$905$	−18.4582	+	31.9706i	−0.613573	+	1.06274i
$906$	8.93508	+	10.3759i	0.296848	+	0.344717i
$907$	−12.1805	+	7.03241i	−0.404446	+	0.233507i	−0.688401	−	0.725331i	$-0.741687\pi$
$907$	−12.1805	+	7.03241i	−0.404446	+	0.233507i	0.283954	+	0.958838i	$0.408354\pi$
$908$	−15.1555	+	19.4864i	−0.502951	+	0.646680i
$909$	24.4074	−	13.7190i	0.809544	−	0.455031i
$910$	−23.5977	+	7.67743i	−0.782256	+	0.254504i
$911$	−12.6374	+	21.8887i	−0.418697	+	0.725205i	−0.995809	−	0.0914606i	$-0.970846\pi$
$911$	−12.6374	+	21.8887i	−0.418697	+	0.725205i	0.577112	+	0.816665i	$0.304180\pi$
$912$	7.84953	−	27.2350i	0.259924	−	0.901841i
$913$	12.0426			0.398552
$914$	11.8558	−	2.31808i	0.392154	−	0.0766754i
$915$	24.4187	−	41.7371i	0.807258	−	1.37979i
$916$	−8.41168	−	1.16329i	−0.277930	−	0.0384363i
$917$	28.2025	+	11.9951i	0.931329	+	0.396113i
$918$	4.85430	−	13.3898i	0.160216	−	0.441929i
$919$	−17.9568	−	31.1021i	−0.592341	−	1.02596i	−0.993916	−	0.110138i	$-0.964871\pi$
$919$	−17.9568	−	31.1021i	−0.592341	−	1.02596i	0.401576	−	0.915826i	$-0.368463\pi$
$920$	−2.88985	+	5.71828i	−0.0952755	+	0.188526i
$921$	0.168804	−	29.2903i	0.00556228	−	0.965149i
$922$	20.4910	+	7.03040i	0.674837	+	0.231534i
$923$	−41.1078	+	23.7336i	−1.35308	+	0.781201i
$924$	10.0479	−	16.5617i	0.330551	−	0.544839i
$925$	−2.07482	−	1.19790i	−0.0682197	−	0.0393866i
$926$	−1.90041	−	2.18131i	−0.0624513	−	0.0716824i
$927$	−23.1181	+	38.9967i	−0.759298	+	1.28082i
$928$	−12.8312	+	6.06953i	−0.421204	+	0.199242i
$929$	15.2179			0.499284			0.249642	−	0.968338i	$-0.419687\pi$
$929$	15.2179			0.499284			0.249642	+	0.968338i	$0.419687\pi$
$930$	22.0094	+	7.69339i	0.721716	+	0.252276i
$931$	−20.6284	+	19.8637i	−0.676069	+	0.651005i
$932$	−13.9454	−	10.8459i	−0.456796	−	0.355271i
$933$	−28.2331	−	0.162711i	−0.924312	−	0.00532693i
$934$	18.0982	−	15.7675i	0.592190	−	0.515929i
$935$	−4.27568	+	7.40569i	−0.139830	+	0.242192i
$936$	−12.4360	+	23.9188i	−0.406483	+	0.781811i
$937$	57.0780			1.86466			0.932328	−	0.361614i	$-0.117774\pi$
$937$	57.0780			1.86466			0.932328	+	0.361614i	$0.117774\pi$
$938$	11.6584	+	35.8337i	0.380660	+	1.17001i
$939$	−15.3189	−	0.0882846i	−0.499912	−	0.00288106i
$940$	29.2875	+	4.05031i	0.955253	+	0.132107i
$941$			35.3914i			1.15373i	0.816840	+	0.576864i	$0.195724\pi$
$941$			35.3914i			1.15373i	−0.816840	+	0.576864i	$0.804276\pi$
$942$	4.82467	+	25.4537i	0.157196	+	0.829326i
$943$	11.6234			0.378511
$944$	5.12494	+	5.26045i	0.166803	+	0.171213i
$945$	−26.2107	−	11.6871i	−0.852633	−	0.380180i
$946$	20.2414	−	3.95767i	0.658105	−	0.128675i
$947$			13.4856i			0.438222i	0.975700	+	0.219111i	$0.0703156\pi$
$947$			13.4856i			0.438222i	−0.975700	+	0.219111i	$0.929684\pi$
$948$	−5.49413	+	2.19705i	−0.178441	+	0.0713569i
$949$		−	42.7969i		−	1.38925i
$950$	−3.51554	−	1.20617i	−0.114059	−	0.0391332i
$951$	−0.0237896	+	4.12790i	−0.000771432	+	0.133856i
$952$	2.55555	+	14.2770i	0.0828258	+	0.462720i
$953$	32.3759			1.04876			0.524379	−	0.851485i	$-0.324297\pi$
$953$	32.3759			1.04876			0.524379	+	0.851485i	$0.324297\pi$
$954$	5.88827	+	2.09640i	0.190640	+	0.0678736i
$955$	−16.4235	−	9.48208i	−0.531450	−	0.306833i
$956$	25.8187	+	20.0803i	0.835037	+	0.649445i
$957$	9.18571	+	0.0529385i	0.296932	+	0.00171126i
$958$	−6.53830	−	7.50474i	−0.211243	−	0.242467i
$959$	−8.21213	−	10.9141i	−0.265184	−	0.352435i
$960$	−23.3865	+	17.0215i	−0.754795	+	0.549367i
$961$	−10.2087			−0.329312
$962$	−5.43798	+	15.8497i	−0.175327	+	0.511016i
$963$	53.3994	−	30.0149i	1.72077	−	0.967216i
$964$	−18.1205	−	14.0931i	−0.583621	−	0.453908i
$965$	−42.4985	−	24.5365i	−1.36808	−	0.789859i
$966$	1.49912	−	6.87091i	0.0482333	−	0.221068i
$967$	−4.24304	−	7.34916i	−0.136447	−	0.236333i	0.789702	−	0.613490i	$-0.210235\pi$
$967$	−4.24304	−	7.34916i	−0.136447	−	0.236333i	−0.926149	+	0.377157i	$0.876902\pi$
$968$	−1.02800	−	18.4488i	−0.0330412	−	0.592966i
$969$	0.0791476	−	13.7334i	0.00254259	−	0.441181i
$970$	35.9076	−	31.2835i	1.15292	−	1.00445i
$971$	8.06993	−	4.65918i	0.258976	−	0.149520i	−0.364891	−	0.931050i	$-0.618894\pi$
$971$	8.06993	−	4.65918i	0.258976	−	0.149520i	0.623868	+	0.781530i	$0.285560\pi$
$972$	−29.2073	+	10.9058i	−0.936824	+	0.349802i
$973$	23.3521	−	17.5709i	0.748635	−	0.563298i
$974$	0.107266	−	0.312643i	0.00343704	−	0.0100177i
$975$	3.05123	+	1.78515i	0.0977176	+	0.0571706i
$976$	37.3307	+	38.3178i	1.19493	+	1.22652i
$977$	−7.50593			−0.240136			−0.120068	−	0.992766i	$-0.538311\pi$
$977$	−7.50593			−0.240136			−0.120068	+	0.992766i	$0.538311\pi$
$978$	18.2674	−	15.7307i	0.584127	−	0.503013i
$979$	−4.91717	−	2.83893i	−0.157154	−	0.0907326i
$980$	29.0623	−	3.07726i	0.928362	−	0.0982994i
$981$	−15.6950	−	9.30431i	−0.501101	−	0.297064i
$982$	−34.4512	+	30.0147i	−1.09938	+	0.957807i
$983$	−23.9167	−	41.4249i	−0.762824	−	1.32125i	−0.941389	−	0.337322i	$-0.890479\pi$
$983$	−23.9167	−	41.4249i	−0.762824	−	1.32125i	0.178565	−	0.983928i	$-0.442855\pi$
$984$	46.6969	+	23.9380i	1.48864	+	0.763117i
$985$	14.9082	−	25.8218i	0.475016	−	0.822752i
$986$	−5.18572	+	4.51791i	−0.165147	+	0.143880i
$987$	−32.2358	+	3.74624i	−1.02608	+	0.119244i
$988$	−3.56113	+	25.7502i	−0.113295	+	0.819224i
$989$	6.48441	−	3.74378i	0.206192	−	0.119045i
$990$	18.4112	−	3.37999i	0.585146	−	0.107423i
$991$	−15.9426	+	27.6134i	−0.506433	+	0.877167i	0.493539	+	0.869723i	$0.335703\pi$
$991$	−15.9426	+	27.6134i	−0.506433	+	0.877167i	−0.999972	+	0.00744400i	$0.997630\pi$
$992$	−14.6782	+	21.2103i	−0.466032	+	0.673426i
$993$	−0.157185	+	27.2743i	−0.00498813	+	0.865524i
$994$	53.1593	−	17.2952i	1.68611	−	0.548570i
$995$	−6.54992	+	3.78160i	−0.207646	+	0.119885i
$996$	19.5354	+	2.81648i	0.619004	+	0.0892436i
$997$	16.7875	−	9.69228i	0.531666	−	0.306958i	−0.210028	−	0.977695i	$-0.567356\pi$
$997$	16.7875	−	9.69228i	0.531666	−	0.306958i	0.741695	+	0.670738i	$0.234022\pi$
$998$	39.3957	+	13.5165i	1.24705	+	0.427857i
$999$	−16.9474	+	9.39774i	−0.536192	+	0.297331i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	504.2.cq.a.277.6	yes	184
7.2	even	3		504.2.w.a.205.67	yes	184
8.5	even	2	inner	504.2.cq.a.277.5	yes	184
9.4	even	3		504.2.w.a.445.55	yes	184
56.37	even	6		504.2.w.a.205.55	✓	184
63.58	even	3	inner	504.2.cq.a.373.6	yes	184
72.13	even	6		504.2.w.a.445.67	yes	184
504.373	even	6	inner	504.2.cq.a.373.5	yes	184

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
504.2.w.a.205.55	✓	184	56.37	even	6
504.2.w.a.205.67	yes	184	7.2	even	3
504.2.w.a.445.55	yes	184	9.4	even	3
504.2.w.a.445.67	yes	184	72.13	even	6
504.2.cq.a.277.5	yes	184	8.5	even	2	inner
504.2.cq.a.277.6	yes	184	1.1	even	1	trivial
504.2.cq.a.373.5	yes	184	504.373	even	6	inner
504.2.cq.a.373.6	yes	184	63.58	even	3	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:	\( N \)	\(=\)	\( 504 = 2^{3} \cdot 3^{2} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	504.cq (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.38793 + 0.271374i) q^{2} +(-1.73202 - 0.00998187i) q^{3} +(1.85271 - 0.753297i) q^{4} +(1.80782 + 1.04374i) q^{5} +(2.40664 - 0.456171i) q^{6} +(2.62626 - 0.320557i) q^{7} +(-2.36702 + 1.54830i) q^{8} +(2.99980 + 0.0345777i) q^{9} +O(q^{10})\)	\(q+(-1.38793 + 0.271374i) q^{2} +(-1.73202 - 0.00998187i) q^{3} +(1.85271 - 0.753297i) q^{4} +(1.80782 + 1.04374i) q^{5} +(2.40664 - 0.456171i) q^{6} +(2.62626 - 0.320557i) q^{7} +(-2.36702 + 1.54830i) q^{8} +(2.99980 + 0.0345777i) q^{9} +(-2.79237 - 0.958051i) q^{10} +(-1.83042 + 1.05679i) q^{11} +(-3.21646 + 1.28623i) q^{12} +(2.75145 - 1.58855i) q^{13} +(-3.55808 + 1.15761i) q^{14} +(-3.12076 - 1.82583i) q^{15} +(2.86509 - 2.79128i) q^{16} +(0.969083 - 1.67850i) q^{17} +(-4.17290 + 0.766075i) q^{18} +(-3.54295 + 2.04552i) q^{19} +(4.13561 + 0.571934i) q^{20} +(-4.55194 + 0.528997i) q^{21} +(2.25371 - 1.96349i) q^{22} +(0.542573 - 0.939764i) q^{23} +(4.11518 - 2.65807i) q^{24} +(-0.321202 - 0.556338i) q^{25} +(-3.38773 + 2.95147i) q^{26} +(-5.19538 - 0.0898329i) q^{27} +(4.62423 - 2.57225i) q^{28} +(2.17305 + 1.25461i) q^{29} +(4.82688 + 1.68724i) q^{30} +4.55975 q^{31} +(-3.21907 + 4.65162i) q^{32} +(3.18088 - 1.81212i) q^{33} +(-0.889521 + 2.59263i) q^{34} +(5.08237 + 2.16163i) q^{35} +(5.58382 - 2.19568i) q^{36} +(3.22978 - 1.86471i) q^{37} +(4.36228 - 3.80051i) q^{38} +(-4.78142 + 2.72394i) q^{39} +(-5.89516 + 0.328489i) q^{40} +(5.35571 + 9.27636i) q^{41} +(6.17423 - 1.96949i) q^{42} +(5.97561 + 3.45002i) q^{43} +(-2.59516 + 3.33678i) q^{44} +(5.38700 + 3.19353i) q^{45} +(-0.498027 + 1.45157i) q^{46} +7.08178 q^{47} +(-4.99026 + 4.80597i) q^{48} +(6.79449 - 1.68373i) q^{49} +(0.596782 + 0.684994i) q^{50} +(-1.69523 + 2.89753i) q^{51} +(3.90099 - 5.01578i) q^{52} +(-1.27584 - 0.736608i) q^{53} +(7.23521 - 1.28521i) q^{54} -4.41208 q^{55} +(-5.72008 + 4.82501i) q^{56} +(6.15689 - 3.50753i) q^{57} +(-3.35651 - 1.15161i) q^{58} +1.83605i q^{59} +(-7.15726 - 1.03188i) q^{60} +13.3740i q^{61} +(-6.32863 + 1.23740i) q^{62} +(7.88934 - 0.870797i) q^{63} +(3.20552 - 7.32971i) q^{64} +6.63214 q^{65} +(-3.92308 + 3.37831i) q^{66} -10.0711i q^{67} +(0.531024 - 3.83979i) q^{68} +(-0.949129 + 1.62228i) q^{69} +(-7.64060 - 1.62098i) q^{70} -14.9404 q^{71} +(-7.15411 + 4.56275i) q^{72} +(6.73523 - 11.6658i) q^{73} +(-3.97668 + 3.46457i) q^{74} +(0.550775 + 0.966795i) q^{75} +(-5.02319 + 6.45866i) q^{76} +(-4.46840 + 3.36217i) q^{77} +(5.89709 - 5.07819i) q^{78} +1.70813 q^{79} +(8.09293 - 2.05571i) q^{80} +(8.99761 + 0.207452i) q^{81} +(-9.95072 - 11.4216i) q^{82} +(-4.93435 - 2.84885i) q^{83} +(-8.03495 + 4.40904i) q^{84} +(3.50385 - 2.02295i) q^{85} +(-9.22999 - 3.16677i) q^{86} +(-3.75125 - 2.19470i) q^{87} +(2.69640 - 5.33549i) q^{88} +(1.34318 + 2.32646i) q^{89} +(-8.34343 - 2.97052i) q^{90} +(6.71679 - 5.05394i) q^{91} +(0.297311 - 2.14983i) q^{92} +(-7.89759 - 0.0455149i) q^{93} +(-9.82903 + 1.92181i) q^{94} -8.54000 q^{95} +(5.62193 - 8.02458i) q^{96} +(-8.06592 + 13.9706i) q^{97} +(-8.97337 + 4.18075i) q^{98} +(-5.52744 + 3.10688i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 184 q - 2 q^{2} - 2 q^{4} - 2 q^{6} - 2 q^{7} - 8 q^{8} - 2 q^{9}+O(q^{10}) \) 184 * q - 2 * q^2 - 2 * q^4 - 2 * q^6 - 2 * q^7 - 8 * q^8 - 2 * q^9	\( 184 q - 2 q^{2} - 2 q^{4} - 2 q^{6} - 2 q^{7} - 8 q^{8} - 2 q^{9} + 2 q^{10} + 16 q^{12} - 4 q^{14} - 2 q^{15} - 2 q^{16} - 4 q^{17} - 14 q^{18} + 6 q^{20} + 2 q^{22} + 2 q^{23} + 12 q^{24} + 78 q^{25} - 4 q^{26} - 8 q^{28} - 9 q^{30} - 4 q^{31} - 2 q^{32} - 14 q^{33} - 18 q^{36} - 5 q^{38} + 4 q^{39} - 4 q^{40} - 4 q^{41} - 12 q^{42} + 17 q^{44} - 6 q^{46} - 84 q^{47} - 3 q^{48} - 2 q^{49} - 31 q^{50} + 9 q^{52} - q^{54} + 4 q^{55} - 16 q^{56} - 20 q^{57} + 5 q^{58} + 17 q^{60} + 32 q^{62} + 8 q^{63} - 8 q^{64} - 44 q^{65} - 56 q^{66} - 12 q^{68} + 5 q^{70} - 16 q^{71} + 36 q^{72} - 4 q^{73} + 19 q^{74} - 6 q^{76} - 47 q^{78} - 4 q^{79} - 11 q^{80} - 18 q^{81} - 65 q^{84} - 23 q^{86} - 14 q^{87} - 7 q^{88} + 4 q^{89} - 35 q^{90} - 48 q^{92} - 18 q^{94} - 44 q^{95} + 95 q^{96} - 4 q^{97} - 83 q^{98}+O(q^{100}) \) 184 * q - 2 * q^2 - 2 * q^4 - 2 * q^6 - 2 * q^7 - 8 * q^8 - 2 * q^9 + 2 * q^10 + 16 * q^12 - 4 * q^14 - 2 * q^15 - 2 * q^16 - 4 * q^17 - 14 * q^18 + 6 * q^20 + 2 * q^22 + 2 * q^23 + 12 * q^24 + 78 * q^25 - 4 * q^26 - 8 * q^28 - 9 * q^30 - 4 * q^31 - 2 * q^32 - 14 * q^33 - 18 * q^36 - 5 * q^38 + 4 * q^39 - 4 * q^40 - 4 * q^41 - 12 * q^42 + 17 * q^44 - 6 * q^46 - 84 * q^47 - 3 * q^48 - 2 * q^49 - 31 * q^50 + 9 * q^52 - q^54 + 4 * q^55 - 16 * q^56 - 20 * q^57 + 5 * q^58 + 17 * q^60 + 32 * q^62 + 8 * q^63 - 8 * q^64 - 44 * q^65 - 56 * q^66 - 12 * q^68 + 5 * q^70 - 16 * q^71 + 36 * q^72 - 4 * q^73 + 19 * q^74 - 6 * q^76 - 47 * q^78 - 4 * q^79 - 11 * q^80 - 18 * q^81 - 65 * q^84 - 23 * q^86 - 14 * q^87 - 7 * q^88 + 4 * q^89 - 35 * q^90 - 48 * q^92 - 18 * q^94 - 44 * q^95 + 95 * q^96 - 4 * q^97 - 83 * q^98

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