LMFDB - Embedded newform 184.2.p.a.13.8

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [184,2,Mod(13,184)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("184.13"); S:= CuspForms(chi, 2); N := Newforms(S);

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(184, base_ring=CyclotomicField(22)) chi = DirichletCharacter(H, H._module([0, 11, 14])) N = Newforms(chi, 2, names="a")

Level:	$ N $	$=$	$ 184 = 2^{3} \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	184.p (of order $22$, degree $10$, minimal)

Newform invariants

comment:select newform

sage:traces = [] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(0)] == traces)

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

Self dual:	no
Analytic conductor:	$1.46924739719$
Analytic rank:	$0$
Dimension:	$220$
Relative dimension:	$22$ over $\Q(\zeta_{22})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label			13.8
Character	$\chi$	$=$	184.13
Dual form			184.2.p.a.85.8

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-0.837531 - 1.13954i) q^{2} +(-1.73543 + 2.70038i) q^{3} +(-0.597083 + 1.90879i) q^{4} +(0.678074 + 0.309666i) q^{5} +(4.53066 - 0.284070i) q^{6} +(-2.93526 - 0.861871i) q^{7} +(2.67521 - 0.918277i) q^{8} +(-3.03410 - 6.64376i) q^{9} +(-0.215033 - 1.03204i) q^{10} +(-3.29186 - 2.85242i) q^{11} +(-4.11828 - 4.92493i) q^{12} +(0.744558 + 2.53573i) q^{13} +(1.47624 + 4.06668i) q^{14} +(-2.01297 + 1.29366i) q^{15} +(-3.28698 - 2.27941i) q^{16} +(0.0407549 + 0.283456i) q^{17} +(-5.02965 + 9.02183i) q^{18} +(-4.29942 - 0.618164i) q^{19} +(-0.995955 + 1.10941i) q^{20} +(7.42133 - 6.43062i) q^{21} +(-0.493391 + 6.14018i) q^{22} +(3.72717 + 3.01799i) q^{23} +(-2.16295 + 8.81771i) q^{24} +(-2.91041 - 3.35879i) q^{25} +(2.26596 - 2.97220i) q^{26} +(13.6743 + 1.96607i) q^{27} +(3.39773 - 5.08820i) q^{28} +(-3.79624 + 0.545817i) q^{29} +(3.16009 + 1.21037i) q^{30} +(-2.20675 + 1.41819i) q^{31} +(0.155479 + 5.65472i) q^{32} +(13.4154 - 3.93912i) q^{33} +(0.288875 - 0.283845i) q^{34} +(-1.72343 - 1.49336i) q^{35} +(14.4932 - 1.82460i) q^{36} +(-10.0109 + 4.57184i) q^{37} +(2.89648 + 5.41708i) q^{38} +(-8.13957 - 2.38999i) q^{39} +(2.09835 + 0.205763i) q^{40} +(-3.05297 + 6.68508i) q^{41} +(-13.5435 - 3.07102i) q^{42} +(2.41358 - 3.75561i) q^{43} +(7.41019 - 4.58036i) q^{44} -5.44452i q^{45} +(0.317483 - 6.77490i) q^{46} +8.62995 q^{47} +(11.8596 - 4.92035i) q^{48} +(1.98417 + 1.27515i) q^{49} +(-1.38990 + 6.12961i) q^{50} +(-0.836168 - 0.381865i) q^{51} +(-5.28475 - 0.0928337i) q^{52} +(-0.792496 + 2.69899i) q^{53} +(-9.21228 - 17.2291i) q^{54} +(-1.34883 - 2.95353i) q^{55} +(-8.64389 + 0.389697i) q^{56} +(9.13063 - 10.5373i) q^{57} +(3.80145 + 3.86881i) q^{58} +(1.39946 + 4.76613i) q^{59} +(-1.26741 - 4.61476i) q^{60} +(-1.36632 - 2.12604i) q^{61} +(3.46431 + 1.32689i) q^{62} +(3.17983 + 22.1162i) q^{63} +(6.31353 - 4.91318i) q^{64} +(-0.280364 + 1.94998i) q^{65} +(-15.7246 - 11.9882i) q^{66} +(-2.03607 + 1.76426i) q^{67} +(-0.565394 - 0.0914543i) q^{68} +(-14.6180 + 4.82727i) q^{69} +(-0.258311 + 3.21465i) q^{70} +(5.54528 + 6.39960i) q^{71} +(-14.2177 - 14.9873i) q^{72} +(0.209524 - 1.45727i) q^{73} +(13.5942 + 7.57875i) q^{74} +(14.1209 - 2.03027i) q^{75} +(3.74706 - 7.83762i) q^{76} +(7.20407 + 11.2098i) q^{77} +(4.09366 + 11.2770i) q^{78} +(-8.77113 + 2.57544i) q^{79} +(-1.52296 - 2.56348i) q^{80} +(-14.6911 + 16.9545i) q^{81} +(10.1748 - 2.11999i) q^{82} +(-3.77928 + 1.72594i) q^{83} +(7.84357 + 18.0054i) q^{84} +(-0.0601420 + 0.204825i) q^{85} +(-6.30110 + 0.395076i) q^{86} +(5.11419 - 11.1985i) q^{87} +(-11.4257 - 4.60798i) q^{88} +(-5.97167 - 3.83776i) q^{89} +(-6.20423 + 4.55996i) q^{90} -8.08475i q^{91} +(-7.98614 + 5.31240i) q^{92} -8.42026i q^{93} +(-7.22786 - 9.83414i) q^{94} +(-2.72390 - 1.75055i) q^{95} +(-15.5397 - 9.39352i) q^{96} +(-4.83469 + 10.5865i) q^{97} +(-0.208727 - 3.32901i) q^{98} +(-8.96292 + 30.5249i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 220 q - 11 q^{2} - 11 q^{4} - 14 q^{6} - 22 q^{7} - 14 q^{8} - 9 q^{10} - 12 q^{12} - 3 q^{14} - 22 q^{15} + 5 q^{16} - 18 q^{17} - 4 q^{18} - 27 q^{20} - 42 q^{22} - 16 q^{23} - 22 q^{24} - 4 q^{25} - 16 q^{26}+ \cdots + 109 q^{98}+O(q^{100}) $ 220 * q - 11 * q^2 - 11 * q^4 - 14 * q^6 - 22 * q^7 - 14 * q^8 - 9 * q^10 - 12 * q^12 - 3 * q^14 - 22 * q^15 + 5 * q^16 - 18 * q^17 - 4 * q^18 - 27 * q^20 - 42 * q^22 - 16 * q^23 - 22 * q^24 - 4 * q^25 - 16 * q^26 - 17 * q^28 - 37 * q^30 - 34 * q^31 - 11 * q^32 - 30 * q^33 - 23 * q^34 + 37 * q^36 - 78 * q^38 - 18 * q^39 + 99 * q^40 - 18 * q^41 - 77 * q^42 + 48 * q^44 - 99 * q^46 - 40 * q^47 + 116 * q^48 - 28 * q^49 - 60 * q^50 + 98 * q^52 - 114 * q^54 - 38 * q^55 + 66 * q^56 - 30 * q^57 - 51 * q^58 - 45 * q^60 + 18 * q^62 + 18 * q^63 - 14 * q^64 - 38 * q^65 - 12 * q^66 + 10 * q^68 - 38 * q^70 - 26 * q^71 + 55 * q^72 - 18 * q^73 + 10 * q^74 + 72 * q^76 + 42 * q^78 - 22 * q^79 + 66 * q^80 - 52 * q^81 + 64 * q^82 + 125 * q^84 + 121 * q^86 - 42 * q^87 + 17 * q^88 - 2 * q^89 + 204 * q^90 + 88 * q^92 + 105 * q^94 - 78 * q^95 + 157 * q^96 - 18 * q^97 + 109 * q^98

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/184\mathbb{Z}\right)^\times$.

$n$	$47$	$93$	$97$
$\chi(n)$	$1$	$-1$	$e\left(\frac{7}{11}\right)$

Coefficient data

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

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

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

$2$	−0.837531	−	1.13954i	−0.592224	−	0.805773i
$2$	−0.837531	−	1.13954i	−0.592224	−	0.805773i
$3$	−1.73543	+	2.70038i	−1.00195	+	1.55907i	−0.184693	+	0.982796i	$0.559129\pi$
$3$	−1.73543	+	2.70038i	−1.00195	+	1.55907i	−0.817259	+	0.576271i	$0.804507\pi$
$4$	−0.597083	+	1.90879i	−0.298541	+	0.954397i
$5$	0.678074	+	0.309666i	0.303244	+	0.138487i	0.561225	−	0.827663i	$-0.310330\pi$
$5$	0.678074	+	0.309666i	0.303244	+	0.138487i	−0.257981	+	0.966150i	$0.583057\pi$
$6$	4.53066	−	0.284070i	1.84963	−	0.115971i
$7$	−2.93526	−	0.861871i	−1.10943	−	0.325757i	−0.324835	−	0.945771i	$-0.605309\pi$
$7$	−2.93526	−	0.861871i	−1.10943	−	0.325757i	−0.784591	+	0.620014i	$0.787127\pi$
$8$	2.67521	−	0.918277i	0.945831	−	0.324660i
$9$	−3.03410	−	6.64376i	−1.01137	−	2.21459i
$10$	−0.215033	−	1.03204i	−0.0679993	−	0.326361i
$11$	−3.29186	−	2.85242i	−0.992534	−	0.860036i	−0.00237736	−	0.999997i	$-0.500757\pi$
$11$	−3.29186	−	2.85242i	−0.992534	−	0.860036i	−0.990157	+	0.139961i	$0.955302\pi$
$12$	−4.11828	−	4.92493i	−1.18884	−	1.42171i
$13$	0.744558	+	2.53573i	0.206503	+	0.703285i	0.995986	+	0.0895121i	$0.0285308\pi$
$13$	0.744558	+	2.53573i	0.206503	+	0.703285i	−0.789483	+	0.613773i	$0.789651\pi$
$14$	1.47624	+	4.06668i	0.394542	+	1.08687i
$15$	−2.01297	+	1.29366i	−0.519746	+	0.334021i
$16$	−3.28698	−	2.27941i	−0.821746	−	0.569854i
$17$	0.0407549	+	0.283456i	0.00988451	+	0.0687483i	0.994167	−	0.107855i	$-0.0343982\pi$
$17$	0.0407549	+	0.283456i	0.00988451	+	0.0687483i	−0.984282	+	0.176603i	$0.943489\pi$
$18$	−5.02965	+	9.02183i	−1.18550	+	2.12647i
$19$	−4.29942	−	0.618164i	−0.986356	−	0.141817i	−0.369786	−	0.929117i	$-0.620569\pi$
$19$	−4.29942	−	0.618164i	−0.986356	−	0.141817i	−0.616570	+	0.787300i	$0.711478\pi$
$20$	−0.995955	+	1.10941i	−0.222702	+	0.248071i
$21$	7.42133	−	6.43062i	1.61947	−	1.40328i
$22$	−0.493391	+	6.14018i	−0.105191	+	1.30909i
$23$	3.72717	+	3.01799i	0.777168	+	0.629293i
$23$	3.72717	+	3.01799i	0.777168	+	0.629293i
$24$	−2.16295	+	8.81771i	−0.441510	+	1.79991i
$25$	−2.91041	−	3.35879i	−0.582082	−	0.671759i
$26$	2.26596	−	2.97220i	0.444392	−	0.582897i
$27$	13.6743	+	1.96607i	2.63163	+	0.378371i
$28$	3.39773	−	5.08820i	0.642110	−	0.961580i
$29$	−3.79624	+	0.545817i	−0.704944	+	0.101356i	−0.485458	−	0.874260i	$-0.661347\pi$
$29$	−3.79624	+	0.545817i	−0.704944	+	0.101356i	−0.219486	+	0.975616i	$0.570438\pi$
$30$	3.16009	+	1.21037i	0.576951	+	0.220983i
$31$	−2.20675	+	1.41819i	−0.396345	+	0.254715i	−0.723598	−	0.690221i	$-0.757513\pi$
$31$	−2.20675	+	1.41819i	−0.396345	+	0.254715i	0.327254	+	0.944937i	$0.393877\pi$
$32$	0.155479	+	5.65472i	0.0274850	+	0.999622i
$33$	13.4154	−	3.93912i	2.33532	−	0.685713i
$34$	0.288875	−	0.283845i	0.0495417	−	0.0486791i
$35$	−1.72343	−	1.49336i	−0.291313	−	0.252425i
$36$	14.4932	−	1.82460i	2.41553	−	0.304101i
$37$	−10.0109	+	4.57184i	−1.64579	+	0.751606i	−0.999930	−	0.0118525i	$-0.996227\pi$
$37$	−10.0109	+	4.57184i	−1.64579	+	0.751606i	−0.645857	+	0.763458i	$0.723500\pi$
$38$	2.89648	+	5.41708i	0.469872	+	0.878766i
$39$	−8.13957	−	2.38999i	−1.30337	−	0.382705i
$40$	2.09835	+	0.205763i	0.331779	+	0.0325339i
$41$	−3.05297	+	6.68508i	−0.476794	+	1.04403i	0.506538	+	0.862217i	$0.330925\pi$
$41$	−3.05297	+	6.68508i	−0.476794	+	1.04403i	−0.983333	+	0.181816i	$0.941802\pi$
$42$	−13.5435	−	3.07102i	−2.08981	−	0.473869i
$43$	2.41358	−	3.75561i	0.368068	−	0.572725i	−0.606981	−	0.794717i	$-0.707619\pi$
$43$	2.41358	−	3.75561i	0.368068	−	0.572725i	0.975049	+	0.221992i	$0.0712558\pi$
$44$	7.41019	−	4.58036i	1.11713	−	0.690515i
$45$		−	5.44452i		−	0.811621i
$46$	0.317483	−	6.77490i	0.0468104	−	0.998904i
$47$	8.62995			1.25881			0.629404	−	0.777078i	$-0.283299\pi$
$47$	8.62995			1.25881			0.629404	+	0.777078i	$0.283299\pi$
$48$	11.8596	−	4.92035i	1.71179	−	0.710192i
$49$	1.98417	+	1.27515i	0.283453	+	0.182164i
$50$	−1.38990	+	6.12961i	−0.196562	+	0.866858i
$51$	−0.836168	−	0.381865i	−0.117087	−	0.0534718i
$52$	−5.28475	−	0.0928337i	−0.732863	−	0.0128737i
$53$	−0.792496	+	2.69899i	−0.108858	+	0.370735i	−0.995846	−	0.0910574i	$-0.970975\pi$
$53$	−0.792496	+	2.69899i	−0.108858	+	0.370735i	0.886988	+	0.461792i	$0.152794\pi$
$54$	−9.21228	−	17.2291i	−1.25363	−	2.34458i
$55$	−1.34883	−	2.95353i	−0.181876	−	0.398254i
$56$	−8.64389	+	0.389697i	−1.15509	+	0.0520755i
$57$	9.13063	−	10.5373i	1.20938	−	1.39570i
$58$	3.80145	+	3.86881i	0.499154	+	0.508000i
$59$	1.39946	+	4.76613i	0.182195	+	0.620498i	0.999047	+	0.0436508i	$0.0138989\pi$
$59$	1.39946	+	4.76613i	0.182195	+	0.620498i	−0.816852	+	0.576847i	$0.804283\pi$
$60$	−1.26741	−	4.61476i	−0.163622	−	0.595763i
$61$	−1.36632	−	2.12604i	−0.174940	−	0.272211i	0.742701	−	0.669624i	$-0.233545\pi$
$61$	−1.36632	−	2.12604i	−0.174940	−	0.272211i	−0.917640	+	0.397412i	$0.869908\pi$
$62$	3.46431	+	1.32689i	0.439968	+	0.168515i
$63$	3.17983	+	22.1162i	0.400621	+	2.78638i
$64$	6.31353	−	4.91318i	0.789192	−	0.614147i
$65$	−0.280364	+	1.94998i	−0.0347749	+	0.241865i
$66$	−15.7246	−	11.9882i	−1.93557	−	1.47565i
$67$	−2.03607	+	1.76426i	−0.248745	+	0.215539i	−0.770305	−	0.637676i	$-0.779896\pi$
$67$	−2.03607	+	1.76426i	−0.248745	+	0.215539i	0.521559	+	0.853215i	$0.325350\pi$
$68$	−0.565394	−	0.0914543i	−0.0685641	−	0.0110905i
$69$	−14.6180	+	4.82727i	−1.75980	+	0.581135i
$70$	−0.258311	+	3.21465i	−0.0308741	+	0.384224i
$71$	5.54528	+	6.39960i	0.658104	+	0.759492i	0.982466	−	0.186440i	$-0.0596952\pi$
$71$	5.54528	+	6.39960i	0.658104	+	0.759492i	−0.324362	+	0.945933i	$0.605150\pi$
$72$	−14.2177	−	14.9873i	−1.67557	−	1.76627i
$73$	0.209524	−	1.45727i	0.0245229	−	0.170561i	−0.973879	−	0.227066i	$-0.927087\pi$
$73$	0.209524	−	1.45727i	0.0245229	−	0.170561i	0.998402	+	0.0565052i	$0.0179958\pi$
$74$	13.5942	+	7.57875i	1.58030	+	0.881012i
$75$	14.1209	−	2.03027i	1.63054	−	0.234436i
$76$	3.74706	−	7.83762i	0.429817	−	0.899036i
$77$	7.20407	+	11.2098i	0.820980	+	1.27747i
$78$	4.09366	+	11.2770i	0.463516	+	1.27687i
$79$	−8.77113	+	2.57544i	−0.986830	+	0.289759i	−0.735041	−	0.678023i	$-0.762837\pi$
$79$	−8.77113	+	2.57544i	−0.986830	+	0.289759i	−0.251789	+	0.967782i	$0.581019\pi$
$80$	−1.52296	−	2.56348i	−0.170272	−	0.286606i
$81$	−14.6911	+	16.9545i	−1.63235	+	1.88383i
$82$	10.1748	−	2.11999i	1.12362	−	0.234114i
$83$	−3.77928	+	1.72594i	−0.414829	+	0.189446i	−0.611886	−	0.790946i	$-0.709589\pi$
$83$	−3.77928	+	1.72594i	−0.414829	+	0.189446i	0.197057	+	0.980392i	$0.436862\pi$
$84$	7.84357	+	18.0054i	0.855804	+	1.96455i
$85$	−0.0601420	+	0.204825i	−0.00652332	+	0.0222164i
$86$	−6.30110	+	0.395076i	−0.679465	+	0.0426021i
$87$	5.11419	−	11.1985i	0.548299	−	1.20061i
$88$	−11.4257	−	4.60798i	−1.21799	−	0.491212i
$89$	−5.97167	−	3.83776i	−0.632996	−	0.406802i	0.184422	−	0.982847i	$-0.440959\pi$
$89$	−5.97167	−	3.83776i	−0.632996	−	0.406802i	−0.817418	+	0.576046i	$0.804595\pi$
$90$	−6.20423	+	4.55996i	−0.653983	+	0.480662i
$91$		−	8.08475i		−	0.847512i
$92$	−7.98614	+	5.31240i	−0.832612	+	0.553856i
$93$		−	8.42026i		−	0.873140i
$94$	−7.22786	−	9.83414i	−0.745497	−	1.01431i
$95$	−2.72390	−	1.75055i	−0.279467	−	0.179602i
$96$	−15.5397	−	9.39352i	−1.58602	−	0.958722i
$97$	−4.83469	+	10.5865i	−0.490888	+	1.07490i	0.488436	+	0.872599i	$0.337567\pi$
$97$	−4.83469	+	10.5865i	−0.490888	+	1.07490i	−0.979325	+	0.202296i	$0.935160\pi$
$98$	−0.208727	−	3.32901i	−0.0210847	−	0.336281i
$99$	−8.96292	+	30.5249i	−0.900807	+	3.06787i
$100$	8.14900	−	3.54990i	0.814900	−	0.354990i
$101$	10.1974	−	4.65700i	1.01468	−	0.463389i	0.162540	−	0.986702i	$-0.448031\pi$
$101$	10.1974	−	4.65700i	1.01468	−	0.463389i	0.852140	+	0.523313i	$0.175304\pi$
$102$	0.265168	+	1.27267i	0.0262556	+	0.126013i
$103$	−6.87302	+	7.93189i	−0.677219	+	0.781553i	−0.985488	−	0.169747i	$-0.945705\pi$
$103$	−6.87302	+	7.93189i	−0.677219	+	0.781553i	0.308268	+	0.951299i	$0.400250\pi$
$104$	4.32035	+	6.09991i	0.423646	+	0.598145i
$105$	7.02355	−	2.06230i	0.685429	−	0.201260i
$106$	3.73934	−	1.35741i	0.363197	−	0.131844i
$107$	−6.76822	−	10.5316i	−0.654309	−	1.01812i	−0.996903	−	0.0786407i	$-0.974942\pi$
$107$	−6.76822	−	10.5316i	−0.654309	−	1.01812i	0.342594	−	0.939483i	$-0.388694\pi$
$108$	−11.9175	+	24.9276i	−1.14677	+	2.39866i
$109$	12.8029	−	1.84078i	1.22630	−	0.176315i	0.501427	−	0.865200i	$-0.332809\pi$
$109$	12.8029	−	1.84078i	1.22630	−	0.176315i	0.724871	+	0.688885i	$0.241900\pi$
$110$	−2.23596	+	4.01071i	−0.213191	+	0.382407i
$111$	5.02756	−	34.9675i	0.477195	−	3.31896i
$112$	7.68360	+	9.52364i	0.726032	+	0.899899i
$113$	−3.23297	−	3.73104i	−0.304132	−	0.350987i	0.583026	−	0.812454i	$-0.301869\pi$
$113$	−3.23297	−	3.73104i	−0.304132	−	0.350987i	−0.887157	+	0.461467i	$0.847323\pi$
$114$	−19.6548	−	1.57935i	−1.84084	−	0.147920i
$115$	1.59273	+	3.20059i	0.148523	+	0.298457i
$116$	1.22482	−	7.57213i	0.113721	−	0.703055i
$117$	14.5877	−	12.6403i	1.34864	−	1.16860i
$118$	4.25908	−	5.58652i	0.392080	−	0.514281i
$119$	0.124677	−	0.867145i	0.0114291	−	0.0794910i
$120$	−4.19718	+	5.30927i	−0.383149	+	0.484668i
$121$	1.13463	+	7.89150i	0.103148	+	0.717409i
$122$	−1.27836	+	3.33760i	−0.115737	+	0.302172i
$123$	−12.7540	−	19.8457i	−1.14999	−	1.78942i
$124$	−1.38943	−	5.05902i	−0.124774	−	0.454313i
$125$	−1.98344	−	6.75498i	−0.177404	−	0.604184i
$126$	22.5390	−	22.1465i	2.00793	−	1.97297i
$127$	−4.71933	+	5.44640i	−0.418773	+	0.483290i	−0.925463	−	0.378839i	$-0.876324\pi$
$127$	−4.71933	+	5.44640i	−0.418773	+	0.483290i	0.506690	+	0.862129i	$0.330869\pi$
$128$	−10.8865	−	3.07956i	−0.962242	−	0.272197i
$129$	5.95297	+	13.0352i	0.524130	+	1.14769i
$130$	2.45688	−	1.31368i	0.215483	−	0.115218i
$131$	4.94151	−	16.8292i	0.431742	−	1.47038i	−0.400671	−	0.916222i	$-0.631223\pi$
$131$	4.94151	−	16.8292i	0.431742	−	1.47038i	0.832413	−	0.554156i	$-0.186959\pi$
$132$	−0.491142	+	27.9592i	−0.0427484	+	2.43354i
$133$	12.0872	+	5.52002i	1.04809	+	0.478647i
$134$	3.71571	+	0.842547i	0.320989	+	0.0727849i
$135$	8.66339	+	5.56762i	0.745626	+	0.479185i
$136$	0.369320	+	0.720882i	0.0316689	+	0.0618151i
$137$	4.08446			0.348959			0.174479	−	0.984661i	$-0.444176\pi$
$137$	4.08446			0.348959			0.174479	+	0.984661i	$0.444176\pi$
$138$	17.7438	+	12.6147i	1.51046	+	1.07383i
$139$		−	10.6411i		−	0.902569i	−0.892380	−	0.451285i	$-0.850966\pi$
$139$		−	10.6411i		−	0.902569i	0.892380	−	0.451285i	$-0.149034\pi$
$140$	3.87955	−	2.39802i	0.327882	−	0.202669i
$141$	−14.9767	+	23.3042i	−1.26126	+	1.96257i
$142$	2.64822	−	11.6789i	0.222234	−	0.980072i
$143$	4.78198	−	10.4711i	0.399889	−	0.875635i
$144$	−5.17083	+	28.7539i	−0.430903	+	2.39616i
$145$	−2.74315	−	0.805462i	−0.227806	−	0.0668900i
$146$	−1.83610	+	0.981751i	−0.151956	+	0.0812503i
$147$	−6.88678	+	3.14509i	−0.568012	+	0.259403i
$148$	−2.74934	−	21.8386i	−0.225995	−	1.79512i
$149$	−16.1409	−	13.9861i	−1.32231	−	1.14579i	−0.978385	−	0.206793i	$-0.933697\pi$
$149$	−16.1409	−	13.9861i	−1.32231	−	1.14579i	−0.343927	−	0.938997i	$-0.611757\pi$
$150$	−14.1402	−	14.3908i	−1.15454	−	1.17500i
$151$	4.84508	−	1.42264i	0.394287	−	0.115773i	−0.0785779	−	0.996908i	$-0.525038\pi$
$151$	4.84508	−	1.42264i	0.394287	−	0.115773i	0.472865	+	0.881135i	$0.343220\pi$
$152$	−12.0695	+	2.29434i	−0.978968	+	0.186096i
$153$	1.75956	−	1.13080i	0.142252	−	0.0914199i
$154$	6.74028	−	17.5978i	0.543147	−	1.41807i
$155$	−1.93551	+	0.278284i	−0.155464	+	0.0223523i
$156$	9.42200	−	14.1097i	0.754364	−	1.12968i
$157$	13.7815	+	1.98148i	1.09988	+	0.158140i	0.668270	−	0.743919i	$-0.267035\pi$
$157$	13.7815	+	1.98148i	1.09988	+	0.158140i	0.431614	+	0.902058i	$0.357944\pi$
$158$	10.2809	+	7.83801i	0.817905	+	0.623559i
$159$	−5.91299	−	6.82396i	−0.468931	−	0.541175i
$160$	−1.64565	+	3.88246i	−0.130100	+	0.306936i
$161$	−8.33910	−	12.0709i	−0.657213	−	0.951321i
$162$	31.6245	+	2.54117i	2.48466	+	0.199653i
$163$	−16.0511	+	13.9083i	−1.25722	+	1.08939i	−0.265082	+	0.964226i	$0.585399\pi$
$163$	−16.0511	+	13.9083i	−1.25722	+	1.08939i	−0.992137	+	0.125160i	$0.960056\pi$
$164$	−10.9376	−	9.81903i	−0.854079	−	0.766738i
$165$	10.3165	+	1.48328i	0.803135	+	0.115473i
$166$	5.13203	+	2.86109i	0.398323	+	0.222064i
$167$	−0.228786	−	1.59124i	−0.0177040	−	0.123134i	0.979053	−	0.203606i	$-0.0652662\pi$
$167$	−0.228786	−	1.59124i	−0.0177040	−	0.123134i	−0.996757	+	0.0804724i	$0.974357\pi$
$168$	13.9485	−	24.0181i	1.07615	−	1.85304i
$169$	5.06074	−	3.25234i	0.389287	−	0.250180i
$170$	0.283776	−	0.103013i	0.0217646	−	0.00790076i
$171$	8.93797	+	30.4399i	0.683503	+	2.32780i
$172$	5.72757	+	6.84944i	0.436723	+	0.522265i
$173$	12.9162	+	11.1919i	0.982000	+	0.850908i	0.988827	−	0.149069i	$-0.0476275\pi$
$173$	12.9162	+	11.1919i	0.982000	+	0.850908i	−0.00682663	+	0.999977i	$0.502173\pi$
$174$	−17.0444	+	3.55131i	−1.29213	+	0.269224i
$175$	5.64798	+	12.3673i	0.426947	+	0.934883i
$176$	4.31847	+	16.8794i	0.325517	+	1.27233i
$177$	−15.2991	−	4.49221i	−1.14995	−	0.337655i
$178$	0.628197	+	10.0192i	0.0470854	+	0.750969i
$179$	8.87841	+	4.05464i	0.663604	+	0.303058i	0.718595	−	0.695429i	$-0.244786\pi$
$179$	8.87841	+	4.05464i	0.663604	+	0.303058i	−0.0549908	+	0.998487i	$0.517513\pi$
$180$	10.3925	+	3.25083i	0.774609	+	0.242302i
$181$	−4.98293	+	7.75358i	−0.370378	+	0.576319i	−0.975551	−	0.219775i	$-0.929468\pi$
$181$	−4.98293	+	7.75358i	−0.370378	+	0.576319i	0.605173	+	0.796094i	$0.293104\pi$
$182$	−9.21286	+	6.77123i	−0.682902	+	0.501917i
$183$	8.11228			0.599677
$184$	12.7423	+	4.65118i	0.939376	+	0.342890i
$185$	−8.20390			−0.603162
$186$	−9.59518	+	7.05223i	−0.703553	+	0.517095i
$187$	0.674376	−	1.04935i	0.0493153	−	0.0767361i
$188$	−5.15280	+	16.4728i	−0.375806	+	1.20140i
$189$	−38.4433	−	17.5565i	−2.79634	−	1.27704i
$190$	0.286545	+	4.57012i	0.0207881	+	0.331552i
$191$	10.8779	+	3.19405i	0.787100	+	0.231114i	0.650493	−	0.759512i	$-0.274562\pi$
$191$	10.8779	+	3.19405i	0.787100	+	0.231114i	0.136607	+	0.990625i	$0.456380\pi$
$192$	2.31076	+	25.5754i	0.166765	+	1.84575i
$193$	0.858515	+	1.87989i	0.0617973	+	0.135317i	0.938011	−	0.346606i	$-0.112666\pi$
$193$	0.858515	+	1.87989i	0.0617973	+	0.135317i	−0.876214	+	0.481923i	$0.839939\pi$
$194$	16.1129	−	3.35722i	1.15684	−	0.241034i
$195$	−4.77913	−	4.14114i	−0.342241	−	0.296553i
$196$	−3.61871	+	3.02600i	−0.258479	+	0.216143i
$197$	4.55516	+	15.5135i	0.324542	+	1.10529i	0.946625	+	0.322337i	$0.104468\pi$
$197$	4.55516	+	15.5135i	0.324542	+	1.10529i	−0.622083	+	0.782951i	$0.713713\pi$
$198$	42.2909	−	15.3520i	3.00548	−	1.09102i
$199$	12.1462	−	7.80589i	0.861022	−	0.553345i	−0.0339723	−	0.999423i	$-0.510816\pi$
$199$	12.1462	−	7.80589i	0.861022	−	0.553345i	0.894994	+	0.446078i	$0.147179\pi$
$200$	−10.8703	−	6.31293i	−0.768645	−	0.446391i
$201$	−1.23073	−	8.55992i	−0.0868091	−	0.603770i
$202$	−13.8475	−	7.71993i	−0.974304	−	0.543172i
$203$	11.6134	+	1.66975i	0.815099	+	0.117194i
$204$	1.22816	−	1.36807i	0.0859887	−	0.0957839i
$205$	−4.14028	+	3.58757i	−0.289170	+	0.250567i
$206$	14.7950	+	1.18885i	1.03082	+	0.0828309i
$207$	8.74216	−	33.9193i	0.607622	−	2.35755i
$208$	3.33263	−	10.0321i	0.231076	−	0.695598i
$209$	12.3899	+	14.2987i	0.857024	+	0.989059i
$210$	−8.23251	−	6.27635i	−0.568097	−	0.433109i
$211$	2.69425	+	0.387375i	0.185480	+	0.0266680i	0.234429	−	0.972133i	$-0.424678\pi$
$211$	2.69425	+	0.387375i	0.185480	+	0.0266680i	−0.0489489	+	0.998801i	$0.515587\pi$
$212$	−4.67863	−	3.12423i	−0.321330	−	0.214573i
$213$	−26.9048	+	3.86833i	−1.84349	+	0.265054i
$214$	−6.33249	+	16.5331i	−0.432880	+	1.13018i
$215$	2.79957	−	1.79918i	0.190929	−	0.122703i
$216$	38.3872	−	7.29718i	2.61192	−	0.496510i
$217$	7.69970	−	2.26084i	0.522690	−	0.153476i
$218$	−12.8205	−	13.0477i	−0.868313	−	0.883700i
$219$	3.57158	+	3.09479i	0.241345	+	0.209127i
$220$	6.44304	−	0.811140i	0.434390	−	0.0546870i
$221$	−0.688425	+	0.314393i	−0.0463085	+	0.0211484i
$222$	−44.0574	+	23.5573i	−2.95694	+	1.58106i
$223$	−27.8656	−	8.18208i	−1.86602	−	0.547912i	−0.998745	−	0.0500788i	$-0.984053\pi$
$223$	−27.8656	−	8.18208i	−1.86602	−	0.547912i	−0.867273	−	0.497833i	$-0.834129\pi$
$224$	4.41727	−	16.7321i	0.295141	−	1.11796i
$225$	−13.4845	+	29.5270i	−0.898969	+	1.96847i
$226$	−1.54394	+	6.80894i	−0.102702	+	0.452924i
$227$	11.1826	−	17.4005i	0.742217	−	1.15491i	−0.240653	−	0.970611i	$-0.577361\pi$
$227$	11.1826	−	17.4005i	0.742217	−	1.15491i	0.982870	−	0.184301i	$-0.0590022\pi$
$228$	14.6618	+	23.7201i	0.971002	+	1.57090i
$229$		−	8.03017i		−	0.530648i	−0.964159	−	0.265324i	$-0.914521\pi$
$229$		−	8.03017i		−	0.530648i	0.964159	−	0.265324i	$-0.0854790\pi$
$230$	2.31323	−	4.49557i	0.152530	−	0.296429i
$231$	−42.7728			−2.81424
$232$	−9.65454	+	4.94618i	−0.633851	+	0.324732i
$233$	−5.64700	−	3.62911i	−0.369947	−	0.237751i	0.342436	−	0.939541i	$-0.388748\pi$
$233$	−5.64700	−	3.62911i	−0.369947	−	0.237751i	−0.712383	+	0.701790i	$0.752384\pi$
$234$	−26.6218	−	6.03655i	−1.74032	−	0.394622i
$235$	5.85175	+	2.67240i	0.381726	+	0.174328i
$236$	−9.93316	−	0.174489i	−0.646593	−	0.0113583i
$237$	8.26703	−	28.1549i	0.537001	−	1.82886i
$238$	−1.09256	+	0.584187i	−0.0708203	+	0.0378672i
$239$	1.70090	+	3.72444i	0.110022	+	0.240914i	0.956632	−	0.291299i	$-0.0940876\pi$
$239$	1.70090	+	3.72444i	0.110022	+	0.240914i	−0.846610	+	0.532214i	$0.821360\pi$
$240$	9.56537	+	0.336161i	0.617442	+	0.0216991i
$241$	−10.6444	+	12.2842i	−0.685663	+	0.791297i	−0.986741	−	0.162302i	$-0.948108\pi$
$241$	−10.6444	+	12.2842i	−0.685663	+	0.791297i	0.301078	+	0.953599i	$0.402654\pi$
$242$	8.04236	−	7.90232i	0.516982	−	0.507981i
$243$	−8.61176	−	29.3290i	−0.552444	−	1.88145i
$244$	4.87398	−	1.33861i	0.312024	−	0.0856955i
$245$	0.950545	+	1.47908i	0.0607281	+	0.0944947i
$246$	−11.9329	+	31.1551i	−0.760817	+	1.98637i
$247$	−1.63367	−	11.3624i	−0.103948	−	0.722975i
$248$	−4.60124	+	5.82038i	−0.292179	+	0.369595i
$249$	1.89798	−	13.2007i	0.120280	−	0.836563i
$250$	−6.03635	+	7.91771i	−0.381772	+	0.500760i
$251$	−16.7739	+	14.5347i	−1.05876	+	0.917422i	−0.996742	−	0.0806525i	$-0.974300\pi$
$251$	−16.7739	+	14.5347i	−1.05876	+	0.917422i	−0.0620196	+	0.998075i	$0.519754\pi$
$252$	−44.1139	−	7.13556i	−2.77891	−	0.449498i
$253$	−3.66077	−	20.5662i	−0.230151	−	1.29299i
$254$	10.1590	+	0.816317i	0.637430	+	0.0512203i
$255$	−0.448733	−	0.517866i	−0.0281008	−	0.0324300i
$256$	5.60854	+	14.9848i	0.350534	+	0.936550i
$257$	0.845521	−	5.88073i	0.0527422	−	0.366830i	−0.946308	−	0.323265i	$-0.895219\pi$
$257$	0.845521	−	5.88073i	0.0527422	−	0.366830i	0.999051	−	0.0435647i	$-0.0138715\pi$
$258$	9.86827	−	17.7010i	0.614371	−	1.10202i
$259$	33.3250	−	4.79142i	2.07072	−	0.297724i
$260$	−3.55470	−	1.69945i	−0.220453	−	0.105396i
$261$	15.1445	+	23.5652i	0.937418	+	1.45865i
$262$	−23.3162	+	8.46399i	−1.44048	+	0.522907i
$263$	5.44080	−	1.59756i	0.335494	−	0.0985099i	−0.109647	−	0.993971i	$-0.534972\pi$
$263$	5.44080	−	1.59756i	0.335494	−	0.0985099i	0.445140	+	0.895461i	$0.353154\pi$
$264$	32.2719	−	22.8571i	1.98620	−	1.40676i
$265$	−1.37316	+	1.58471i	−0.0843524	+	0.0973478i
$266$	−3.83312	−	18.3969i	−0.235023	−	1.12799i
$267$	20.7268	−	9.46563i	1.26846	−	0.579287i
$268$	−2.15191	−	4.93985i	−0.131449	−	0.301749i
$269$	−2.16227	+	7.36402i	−0.131836	+	0.448992i	−0.998778	−	0.0494164i	$-0.984264\pi$
$269$	−2.16227	+	7.36402i	−0.131836	+	0.448992i	0.866942	+	0.498409i	$0.166082\pi$
$270$	−0.911357	−	14.5353i	−0.0554634	−	0.884590i
$271$	−4.91789	+	10.7687i	−0.298740	+	0.654150i	−0.998165	−	0.0605565i	$-0.980712\pi$
$271$	−4.91789	+	10.7687i	−0.298740	+	0.654150i	0.699424	+	0.714707i	$0.253440\pi$
$272$	0.512154	−	1.02461i	0.0310539	−	0.0621264i
$273$	21.8319	+	14.0305i	1.32133	+	0.849166i
$274$	−3.42086	−	4.65438i	−0.206662	−	0.281182i
$275$			19.3584i			1.16736i
$276$	−0.486138	−	30.7849i	−0.0292620	−	1.85304i
$277$			11.5188i			0.692095i	0.938217	+	0.346048i	$0.112476\pi$
$277$			11.5188i			0.692095i	−0.938217	+	0.346048i	$0.887524\pi$
$278$	−12.1260	+	8.91228i	−0.727266	+	0.534523i
$279$	16.1177	+	10.3582i	0.964939	+	0.620129i
$280$	−5.98187	−	2.41248i	−0.357485	−	0.144173i
$281$	7.62134	−	16.6884i	0.454651	−	0.995547i	−0.534023	−	0.845470i	$-0.679321\pi$
$281$	7.62134	−	16.6884i	0.454651	−	0.995547i	0.988674	−	0.150077i	$-0.0479521\pi$
$282$	39.0994	−	2.45151i	2.32834	−	0.145986i
$283$	2.26944	−	7.72899i	0.134904	−	0.459441i	−0.864136	−	0.503259i	$-0.832134\pi$
$283$	2.26944	−	7.72899i	0.134904	−	0.459441i	0.999040	+	0.0438184i	$0.0139523\pi$
$284$	−15.5265	+	6.76371i	−0.921328	+	0.401352i
$285$	9.45429	−	4.31763i	0.560024	−	0.255754i
$286$	−15.9372	+	3.32061i	−0.942387	+	0.196352i
$287$	14.7229	−	16.9912i	0.869068	−	1.00296i
$288$	37.0969	−	18.1900i	2.18595	−	1.07185i
$289$	16.2327	−	4.76635i	0.954864	−	0.280373i
$290$	1.37962	+	3.80052i	0.0810142	+	0.223174i
$291$	−20.1973	−	31.4276i	−1.18399	−	1.84232i
$292$	2.65653	+	1.27005i	0.155462	+	0.0743241i
$293$	−7.53804	+	1.08381i	−0.440377	+	0.0633166i	−0.358937	−	0.933362i	$-0.616861\pi$
$293$	−7.53804	+	1.08381i	−0.440377	+	0.0633166i	−0.0814395	+	0.996678i	$0.525952\pi$
$294$	9.35184	+	5.21363i	0.545410	+	0.304065i
$295$	−0.526970	+	3.66516i	−0.0306814	+	0.213394i
$296$	−22.5832	+	21.4235i	−1.31262	+	1.24521i
$297$	−39.4060	−	45.4770i	−2.28657	−	2.63884i
$298$	−2.41922	+	30.1069i	−0.140142	+	1.74405i
$299$	−4.87771	+	11.6981i	−0.282085	+	0.676521i
$300$	−4.55594	+	28.1660i	−0.263038	+	1.62617i
$301$	−10.3213	+	8.94350i	−0.594913	+	0.515495i
$302$	−5.67906	−	4.32964i	−0.326793	−	0.249143i
$303$	−5.12121	+	35.6188i	−0.294206	+	2.04625i
$304$	12.7231	+	11.8321i	0.729719	+	0.678615i
$305$	−0.268106	−	1.86472i	−0.0153517	−	0.106773i
$306$	−2.76228	−	1.05800i	−0.157909	−	0.0604819i
$307$	10.3470	+	16.1003i	0.590537	+	0.918893i	0.999979	+	0.00655660i	$0.00208705\pi$
$307$	10.3470	+	16.1003i	0.590537	+	0.918893i	−0.409442	+	0.912336i	$0.634277\pi$
$308$	−25.6985	+	7.05794i	−1.46431	+	0.402163i
$309$	−9.49149	−	32.3251i	−0.539952	−	1.83891i
$310$	1.93816	+	1.97251i	0.110080	+	0.112031i
$311$	−7.84695	+	9.05586i	−0.444960	+	0.513511i	−0.933278	−	0.359155i	$-0.883065\pi$
$311$	−7.84695	+	9.05586i	−0.444960	+	0.513511i	0.488318	+	0.872666i	$0.337610\pi$
$312$	−23.9698	+	1.08064i	−1.35702	+	0.0611793i
$313$	4.50513	+	9.86485i	0.254645	+	0.557594i	0.993176	−	0.116625i	$-0.0372076\pi$
$313$	4.50513	+	9.86485i	0.254645	+	0.557594i	−0.738531	+	0.674219i	$0.764480\pi$
$314$	−9.28448	−	17.3641i	−0.523954	−	0.979912i
$315$	−4.69248	+	15.9811i	−0.264391	+	0.900433i
$316$	0.321113	−	18.2800i	0.0180640	−	1.02833i
$317$	−15.7587	−	7.19674i	−0.885095	−	0.404209i	−0.0796105	−	0.996826i	$-0.525368\pi$
$317$	−15.7587	−	7.19674i	−0.885095	−	0.404209i	−0.805485	+	0.592617i	$0.798095\pi$
$318$	−2.82382	+	12.4533i	−0.158352	+	0.698349i
$319$	14.0536	+	9.03170i	0.786850	+	0.505678i
$320$	5.80249	−	1.37641i	0.324369	−	0.0769437i
$321$	40.1850			2.24291
$322$	−6.77098	+	19.6125i	−0.377332	+	1.09296i
$323$		−	1.24389i		−	0.0692120i
$324$	−23.5908	−	38.1656i	−1.31060	−	2.12031i
$325$	6.35003	−	9.88084i	0.352236	−	0.548090i
$326$	29.2923	+	6.64211i	1.62235	+	0.367872i
$327$	−17.2478	+	37.7674i	−0.953804	+	2.08854i
$328$	−2.02860	+	20.6875i	−0.112010	+	1.14227i
$329$	−25.3312	−	7.43791i	−1.39655	−	0.410065i
$330$	−6.95011	−	12.9983i	−0.382591	−	0.715531i
$331$	−30.1665	+	13.7766i	−1.65810	+	0.757229i	−0.658110	+	0.752921i	$0.728644\pi$
$331$	−30.1665	+	13.7766i	−1.65810	+	0.757229i	−0.999991	+	0.00430798i	$0.998629\pi$
$332$	−1.03792	−	8.24438i	−0.0569632	−	0.452469i
$333$	60.7484	+	52.6388i	3.32899	+	2.88459i
$334$	−1.62166	+	1.59342i	−0.0887332	+	0.0871882i
$335$	−1.92694	+	0.565800i	−0.105280	+	0.0309130i
$336$	−39.0518	+	4.22106i	−2.13045	+	0.230278i
$337$	−8.68836	+	5.58367i	−0.473285	+	0.304162i	−0.755453	−	0.655203i	$-0.772583\pi$
$337$	−8.68836	+	5.58367i	−0.473285	+	0.304162i	0.282168	+	0.959365i	$0.408947\pi$
$338$	−7.94468	−	3.04295i	−0.432134	−	0.165515i
$339$	15.6858	−	2.25528i	0.851937	−	0.122490i
$340$	−0.355059	−	0.237096i	−0.0192558	−	0.0128583i
$341$	11.3096	+	1.62608i	0.612450	+	0.0880570i
$342$	27.2015	−	35.6795i	1.47089	−	1.92933i
$343$	9.29831	+	10.7308i	0.502062	+	0.579410i
$344$	3.00816	−	12.2634i	0.162189	−	0.661198i
$345$	−11.4069	−	1.25344i	−0.614127	−	0.0674828i
$346$	1.93590	−	24.0921i	0.104075	−	1.29520i
$347$	−11.4939	+	9.95956i	−0.617027	+	0.534657i	−0.906325	−	0.422582i	$-0.861124\pi$
$347$	−11.4939	+	9.95956i	−0.617027	+	0.534657i	0.289297	+	0.957239i	$0.406578\pi$
$348$	18.3221	+	16.4484i	0.982166	+	0.881726i
$349$	−18.9717	−	2.72772i	−1.01553	−	0.146011i	−0.385603	−	0.922665i	$-0.626007\pi$
$349$	−18.9717	−	2.72772i	−1.01553	−	0.146011i	−0.629928	+	0.776653i	$0.716916\pi$
$350$	9.36267	−	16.7941i	0.500456	−	0.897683i
$351$	5.19590	+	36.1383i	0.277337	+	1.92892i
$352$	15.6178	−	19.0581i	0.832431	−	1.01580i
$353$	−7.06179	+	4.53834i	−0.375861	+	0.241551i	−0.714909	−	0.699218i	$-0.753532\pi$
$353$	−7.06179	+	4.53834i	−0.375861	+	0.241551i	0.339047	+	0.940769i	$0.389895\pi$
$354$	7.69441	+	21.1962i	0.408953	+	1.12656i
$355$	1.77837	+	6.05659i	0.0943863	+	0.321450i
$356$	10.8911	−	9.10722i	0.577225	−	0.482682i
$357$	2.12526	+	1.84154i	0.112480	+	0.0974649i
$358$	−2.81555	−	13.5132i	−0.148806	−	0.714192i
$359$	−10.0148	−	21.9293i	−0.528560	−	1.15738i	−0.966096	−	0.258183i	$-0.916876\pi$
$359$	−10.0148	−	21.9293i	−0.528560	−	1.15738i	0.437536	−	0.899201i	$-0.355851\pi$
$360$	−4.99958	−	14.5653i	−0.263501	−	0.767656i
$361$	−0.127446	−	0.0374217i	−0.00670771	−	0.00196956i
$362$	13.0088	−	0.815648i	0.683729	−	0.0428695i
$363$	−23.2791	−	10.6312i	−1.22184	−	0.557995i
$364$	15.4321	+	4.82726i	0.808862	+	0.253017i
$365$	0.593341	−	0.923256i	0.0310569	−	0.0483254i
$366$	−6.79429	−	9.24423i	−0.355143	−	0.483203i
$367$	−31.2727			−1.63242			−0.816212	−	0.577753i	$-0.803930\pi$
$367$	−31.2727			−1.63242			−0.816212	+	0.577753i	$0.803930\pi$
$368$	−5.37190	−	18.4158i	−0.280030	−	0.959991i
$369$	53.6771			2.79432
$370$	6.87102	+	9.34863i	0.357207	+	0.486012i
$371$	4.65237	−	7.23922i	0.241539	−	0.375842i
$372$	16.0725	+	5.02759i	0.833322	+	0.260668i
$373$	22.6637	+	10.3502i	1.17348	+	0.535911i	0.904183	−	0.427146i	$-0.140481\pi$
$373$	22.6637	+	10.3502i	1.17348	+	0.535911i	0.269299	+	0.963057i	$0.413208\pi$
$374$	−1.76058	+	0.110388i	−0.0910376	+	0.00570801i
$375$	21.6832	+	6.36675i	1.11971	+	0.328778i
$376$	23.0870	−	7.92469i	1.19062	−	0.408685i
$377$	−4.21056	−	9.21984i	−0.216855	−	0.474846i
$378$	12.1912	+	58.5116i	0.627050	+	3.00951i
$379$	−9.49909	−	8.23101i	−0.487936	−	0.422799i	0.375833	−	0.926687i	$-0.377357\pi$
$379$	−9.49909	−	8.23101i	−0.487936	−	0.422799i	−0.863769	+	0.503889i	$0.831902\pi$
$380$	4.96783	−	4.15415i	0.254844	−	0.213103i
$381$	−6.51729	−	22.1959i	−0.333891	−	1.13713i
$382$	−5.47088	−	15.0709i	−0.279915	−	0.771095i
$383$	9.16526	−	5.89016i	0.468323	−	0.300973i	−0.285113	−	0.958494i	$-0.592031\pi$
$383$	9.16526	−	5.89016i	0.468323	−	0.300973i	0.753436	+	0.657521i	$0.228395\pi$
$384$	27.2088	−	24.0534i	1.38849	−	1.22747i
$385$	1.41361	+	9.83190i	0.0720444	+	0.501080i
$386$	1.42316	−	2.55277i	0.0724371	−	0.129933i
$387$	−32.2744	−	4.64036i	−1.64060	−	0.235883i
$388$	−17.3207	−	15.5494i	−0.879326	−	0.789403i
$389$	10.6804	−	9.25459i	0.541516	−	0.469227i	−0.340633	−	0.940196i	$-0.610641\pi$
$389$	10.6804	−	9.25459i	0.541516	−	0.469227i	0.882149	+	0.470970i	$0.156096\pi$
$390$	−0.716305	+	8.91433i	−0.0362715	+	0.451395i
$391$	−0.703567	+	1.17949i	−0.0355809	+	0.0596492i
$392$	6.47902	+	1.58928i	0.327240	+	0.0802706i
$393$	36.8697	+	42.5500i	1.85983	+	2.14636i
$394$	13.8630	−	18.1838i	0.698410	−	0.916086i
$395$	−6.74501	−	0.969785i	−0.339378	−	0.0487952i
$396$	−52.9141	−	35.3342i	−2.65903	−	1.77561i
$397$	−10.2955	+	1.48027i	−0.516718	+	0.0742928i	−0.395740	−	0.918362i	$-0.629512\pi$
$397$	−10.2955	+	1.48027i	−0.516718	+	0.0742928i	−0.120977	+	0.992655i	$0.538603\pi$
$398$	−19.0679	−	7.30336i	−0.955789	−	0.366084i
$399$	−35.8826	+	23.0604i	−1.79638	+	1.15446i
$400$	1.91040	+	17.6743i	0.0955198	+	0.883717i
$401$	−26.5860	+	7.80635i	−1.32764	+	0.389830i	−0.867244	−	0.497883i	$-0.834111\pi$
$401$	−26.5860	+	7.80635i	−1.32764	+	0.389830i	−0.460396	+	0.887713i	$0.652293\pi$
$402$	−8.72356	+	8.57167i	−0.435092	+	0.427516i
$403$	−5.23921	−	4.53980i	−0.260984	−	0.226144i
$404$	2.80056	+	22.2454i	0.139333	+	1.10675i
$405$	−15.2119	+	6.94704i	−0.755886	+	0.345201i
$406$	−7.82383	−	14.6323i	−0.388290	−	0.726190i
$407$	45.9954	+	13.5055i	2.27991	+	0.669441i
$408$	−2.58759	−	0.253737i	−0.128105	−	0.0125618i
$409$	13.0380	−	28.5491i	0.644685	−	1.41166i	−0.251445	−	0.967872i	$-0.580906\pi$
$409$	13.0380	−	28.5491i	0.644685	−	1.41166i	0.896130	−	0.443792i	$-0.146367\pi$
$410$	7.55579	+	1.71329i	0.373154	+	0.0846135i
$411$	−7.08829	+	11.0296i	−0.349640	+	0.544050i
$412$	−11.0366	−	17.8552i	−0.543733	−	0.879662i
$413$		−	15.1960i		−	0.747747i
$414$	−45.9741	+	18.4465i	−2.25950	+	0.906594i
$415$	−3.09709			−0.152030
$416$	−14.2231	+	4.60451i	−0.697344	+	0.225755i
$417$	28.7351	+	18.4670i	1.40717	+	0.904331i
$418$	5.91694	−	26.0943i	0.289407	−	1.27631i
$419$	24.1860	+	11.0454i	1.18156	+	0.539601i	0.906656	−	0.421871i	$-0.138626\pi$
$419$	24.1860	+	11.0454i	1.18156	+	0.539601i	0.274905	+	0.961471i	$0.411354\pi$
$420$	−0.257134	+	14.6379i	−0.0125469	+	0.714255i
$421$	4.30006	−	14.6446i	0.209572	−	0.713736i	−0.785872	−	0.618389i	$-0.787786\pi$
$421$	4.30006	−	14.6446i	0.209572	−	0.713736i	0.995444	−	0.0953474i	$-0.0303962\pi$
$422$	−1.81509	−	3.39463i	−0.0883573	−	0.165248i
$423$	−26.1842	−	57.3354i	−1.27312	−	2.78774i
$424$	0.358329	+	7.94811i	0.0174020	+	0.385994i
$425$	0.833459	−	0.961862i	0.0404287	−	0.0466572i
$426$	26.9417	+	27.4192i	1.30533	+	1.32846i
$427$	2.17814	+	7.41807i	0.105408	+	0.358986i
$428$	24.1438	−	6.63093i	1.16703	−	0.320518i
$429$	19.9771	+	31.0850i	0.964504	+	1.50080i
$430$	−4.39495	−	1.68335i	−0.211944	−	0.0811781i
$431$	2.92248	+	20.3263i	0.140771	+	0.979082i	0.930674	+	0.365850i	$0.119222\pi$
$431$	2.92248	+	20.3263i	0.140771	+	0.979082i	−0.789903	+	0.613232i	$0.789869\pi$
$432$	−40.4659	−	37.6320i	−1.94691	−	1.81057i
$433$	1.07530	−	7.47887i	0.0516756	−	0.359412i	−0.947534	−	0.319656i	$-0.896433\pi$
$433$	1.07530	−	7.47887i	0.0516756	−	0.359412i	0.999209	−	0.0397562i	$-0.0126581\pi$
$434$	−9.02505	−	6.88056i	−0.433216	−	0.330278i
$435$	6.93561	−	6.00974i	0.332537	−	0.288145i
$436$	−4.13073	+	25.5372i	−0.197826	+	1.22301i
$437$	−14.1591	−	15.2796i	−0.677320	−	0.730922i
$438$	0.535315	−	6.66193i	0.0255783	−	0.318319i
$439$	−14.2116	−	16.4010i	−0.678281	−	0.782778i	0.307367	−	0.951591i	$-0.400552\pi$
$439$	−14.2116	−	16.4010i	−0.678281	−	0.782778i	−0.985648	+	0.168813i	$0.946007\pi$
$440$	−6.32057	−	6.66272i	−0.301321	−	0.317633i
$441$	2.45161	−	17.0513i	0.116743	−	0.811967i
$442$	0.934839	+	0.521170i	0.0444658	+	0.0247895i
$443$	0.171379	−	0.0246406i	0.00814248	−	0.00117071i	−0.138242	−	0.990398i	$-0.544145\pi$
$443$	0.171379	−	0.0246406i	0.00814248	−	0.00117071i	0.146385	+	0.989228i	$0.453236\pi$
$444$	63.7438	+	30.4750i	3.02515	+	1.44628i
$445$	−2.86081	−	4.45151i	−0.135615	−	0.211022i
$446$	14.0145	+	38.6066i	0.663608	+	1.82807i
$447$	65.7793	−	19.3145i	3.11125	−	0.913547i
$448$	−22.7664	+	8.98001i	−1.07561	+	0.424266i
$449$	−3.38878	+	3.91086i	−0.159926	+	0.184565i	−0.830057	−	0.557678i	$-0.811692\pi$
$449$	−3.38878	+	3.91086i	−0.159926	+	0.184565i	0.670131	+	0.742243i	$0.266238\pi$
$450$	44.9408	−	9.36369i	2.11853	−	0.441409i
$451$	29.1186	−	13.2980i	1.37114	−	0.626179i
$452$	9.05213	−	3.94332i	0.425777	−	0.185478i
$453$	−4.56662	+	15.5525i	−0.214559	+	0.730720i
$454$	−29.1943	+	1.83047i	−1.37016	+	0.0859082i
$455$	2.50357	−	5.48206i	0.117369	−	0.257003i
$456$	14.7502	−	36.5740i	0.690742	−	1.71274i
$457$	9.79803	+	6.29681i	0.458333	+	0.294552i	0.749361	−	0.662162i	$-0.230361\pi$
$457$	9.79803	+	6.29681i	0.458333	+	0.294552i	−0.291028	+	0.956715i	$0.593997\pi$
$458$	−9.15066	+	6.72552i	−0.427582	+	0.314263i
$459$			3.95621i			0.184660i
$460$	−7.06026	+	1.12917i	−0.329186	+	0.0526477i
$461$		−	8.03795i		−	0.374365i	−0.982325	−	0.187182i	$-0.940064\pi$
$461$		−	8.03795i		−	0.374365i	0.982325	−	0.187182i	$-0.0599355\pi$
$462$	35.8236	+	48.7411i	1.66666	+	2.26764i
$463$	3.94055	+	2.53244i	0.183133	+	0.117692i	0.628995	−	0.777409i	$-0.283467\pi$
$463$	3.94055	+	2.53244i	0.183133	+	0.117692i	−0.445862	+	0.895102i	$0.647103\pi$
$464$	13.7223	+	6.85911i	0.637043	+	0.318426i
$465$	2.60747	−	5.70956i	0.120918	−	0.264774i
$466$	0.594043	+	9.47445i	0.0275185	+	0.438895i
$467$	5.71742	−	19.4717i	0.264571	−	0.901045i	−0.714861	−	0.699267i	$-0.753510\pi$
$467$	5.71742	−	19.4717i	0.264571	−	0.901045i	0.979431	−	0.201778i	$-0.0646719\pi$
$468$	15.4177	+	35.3923i	0.712684	+	1.63601i
$469$	7.49696	−	3.42375i	0.346178	−	0.158094i
$470$	−1.85572	−	8.90650i	−0.0855981	−	0.410826i
$471$	−29.2676	+	33.7766i	−1.34858	+	1.55635i
$472$	8.12049	+	11.4653i	0.373776	+	0.527734i
$473$	−18.6577	+	5.47841i	−0.857884	+	0.251897i
$474$	−39.0074	+	14.1601i	−1.79167	+	0.650393i
$475$	10.4368	+	16.2400i	0.478874	+	0.745142i
$476$	1.58076	+	0.755739i	0.0724539	+	0.0346392i
$477$	20.3360	−	2.92387i	0.931120	−	0.133875i
$478$	2.81958	−	5.05757i	0.128965	−	0.231328i
$479$	0.658457	−	4.57967i	0.0300857	−	0.209251i	−0.969234	−	0.246143i	$-0.920837\pi$
$479$	0.658457	−	4.57967i	0.0300857	−	0.209251i	0.999319	+	0.0368923i	$0.0117459\pi$
$480$	−7.62823	−	11.1816i	−0.348180	−	0.510369i
$481$	−19.0467	−	21.9810i	−0.868453	−	1.00225i
$482$	22.9133	+	1.84118i	1.04367	+	0.0838637i
$483$	47.0680	−	1.57052i	2.14167	−	0.0714611i
$484$	−15.7407	−	2.54611i	−0.715487	−	0.115732i
$485$	−6.55655	+	5.68129i	−0.297718	+	0.257974i
$486$	−26.2088	+	34.3773i	−1.18885	+	1.55939i
$487$	0.0257339	−	0.178983i	0.00116612	−	0.00811051i	−0.989230	−	0.146369i	$-0.953241\pi$
$487$	0.0257339	−	0.178983i	0.00116612	−	0.00811051i	0.990396	+	0.138258i	$0.0441504\pi$
$488$	−5.60750	−	4.43294i	−0.253839	−	0.200670i
$489$	−9.70231	−	67.4811i	−0.438754	−	3.05160i
$490$	0.889349	−	2.32195i	0.0401767	−	0.104895i
$491$	−7.87947	−	12.2607i	−0.355595	−	0.553317i	0.616663	−	0.787227i	$-0.288484\pi$
$491$	−7.87947	−	12.2607i	−0.355595	−	0.553317i	−0.972258	+	0.233910i	$0.924848\pi$
$492$	45.4965	−	12.4953i	2.05114	−	0.563333i
$493$	−0.309431	−	1.05382i	−0.0139360	−	0.0474618i
$494$	−11.5796	+	11.3780i	−0.520993	+	0.511922i
$495$	−15.5300	+	17.9226i	−0.698024	+	0.805562i
$496$	10.4862	+	0.368523i	0.470845	+	0.0165472i
$497$	−10.7612	−	23.5638i	−0.482707	−	1.05698i
$498$	−16.6323	+	8.89322i	−0.745312	+	0.398515i
$499$	0.525521	−	1.78976i	0.0235256	−	0.0801207i	−0.946894	−	0.321547i	$-0.895797\pi$
$499$	0.525521	−	1.78976i	0.0235256	−	0.0801207i	0.970419	+	0.241427i	$0.0776153\pi$
$500$	14.0781	+	0.247301i	0.629593	+	0.0110597i
$501$	4.69400	+	2.14368i	0.209712	+	0.0957724i
$502$	30.6115	+	6.94123i	1.36626	+	0.309802i
$503$	−3.40573	−	2.18873i	−0.151854	−	0.0975908i	0.462507	−	0.886616i	$-0.346950\pi$
$503$	−3.40573	−	2.18873i	−0.151854	−	0.0975908i	−0.614361	+	0.789025i	$0.710586\pi$
$504$	28.8155	+	56.2456i	1.28355	+	2.50538i
$505$	8.35671			0.371869
$506$	−20.3699	+	21.3964i	−0.905554	+	0.951188i
$507$			19.3101i			0.857593i
$508$	−7.57822	−	12.2602i	−0.336229	−	0.543958i
$509$	−0.115403	+	0.179571i	−0.00511517	+	0.00795936i	−0.843802	−	0.536655i	$-0.819688\pi$
$509$	−0.115403	+	0.179571i	−0.00511517	+	0.00795936i	0.838687	+	0.544614i	$0.183324\pi$
$510$	−0.214298	+	0.945077i	−0.00948929	+	0.0418487i
$511$	−1.87099	+	4.09689i	−0.0827677	+	0.181236i
$512$	12.3784	−	18.9414i	0.547053	−	0.837098i
$513$	−57.5764	−	16.9060i	−2.54206	−	0.746417i
$514$	−7.40945	+	3.96179i	−0.326817	+	0.174747i
$515$	−7.11666	+	3.25007i	−0.313597	+	0.143215i
$516$	−28.4359	+	3.57991i	−1.25182	+	0.157597i
$517$	−28.4086	−	24.6162i	−1.24941	−	1.08262i
$518$	−33.3708	−	33.9621i	−1.46623	−	1.49221i
$519$	−52.6377	+	15.4558i	−2.31054	+	0.678436i
$520$	1.04059	+	5.47406i	0.0456327	+	0.240053i
$521$	1.65072	−	1.06086i	0.0723195	−	0.0464769i	−0.503981	−	0.863715i	$-0.668132\pi$
$521$	1.65072	−	1.06086i	0.0723195	−	0.0464769i	0.576301	+	0.817238i	$0.304496\pi$
$522$	14.1695	−	36.9943i	0.620181	−	1.61920i
$523$	−36.4809	+	5.24517i	−1.59520	+	0.229355i	−0.881877	−	0.471480i	$-0.843720\pi$
$523$	−36.4809	+	5.24517i	−1.59520	+	0.229355i	−0.713323	+	0.700835i	$0.752811\pi$
$524$	29.1731	+	19.4808i	1.27443	+	0.851021i
$525$	−43.1982	−	6.21097i	−1.88533	−	0.271069i
$526$	−6.37732	−	4.86197i	−0.278064	−	0.211992i
$527$	−0.491932	−	0.567720i	−0.0214289	−	0.0247303i
$528$	−53.0752	−	17.6315i	−2.30980	−	0.767311i
$529$	4.78353	+	22.4971i	0.207980	+	0.978133i
$530$	2.95589	+	0.237519i	0.128396	+	0.0103172i
$531$	27.4189	−	23.7586i	1.18988	−	1.03104i
$532$	−17.7536	+	19.7760i	−0.769717	+	0.857398i
$533$	−19.2247	−	2.76409i	−0.832712	−	0.119726i
$534$	−28.1458	−	15.6912i	−1.21799	−	0.679025i
$535$	−1.32809	−	9.23706i	−0.0574183	−	0.399353i
$536$	−3.82683	+	6.58946i	−0.165294	+	0.284621i
$537$	−26.3569	+	16.9386i	−1.13739	+	0.730954i
$538$	10.2025	−	3.70361i	0.439862	−	0.159674i
$539$	−2.89436	−	9.85730i	−0.124669	−	0.424584i
$540$	−15.8002	+	13.2123i	−0.679933	+	0.568567i
$541$	−8.79308	−	7.61925i	−0.378044	−	0.327577i	0.445025	−	0.895518i	$-0.353195\pi$
$541$	−8.79308	−	7.61925i	−0.378044	−	0.327577i	−0.823069	+	0.567941i	$0.807740\pi$
$542$	16.3902	−	3.41499i	0.704018	−	0.146686i
$543$	−12.2901	−	26.9116i	−0.527420	−	1.15489i
$544$	−1.59653	+	0.274529i	−0.0684506	+	0.0117703i
$545$	9.25136	+	2.71644i	0.396285	+	0.116360i
$546$	−2.29664	−	36.6292i	−0.0982870	−	1.56759i
$547$	3.87816	+	1.77109i	0.165818	+	0.0757265i	0.496595	−	0.867982i	$-0.334583\pi$
$547$	3.87816	+	1.77109i	0.165818	+	0.0757265i	−0.330777	+	0.943709i	$0.607311\pi$
$548$	−2.43876	+	7.79638i	−0.104179	+	0.333045i
$549$	−9.97933	+	15.5281i	−0.425907	+	0.662725i
$550$	22.0596	−	16.2133i	0.940624	−	0.691336i
$551$	16.6590			0.709699
$552$	−34.6734	+	26.3373i	−1.47580	+	1.12099i
$553$	27.9653			1.18920
$554$	13.1260	−	9.64732i	0.557672	−	0.409875i
$555$	14.2373	−	22.1537i	0.604340	−	0.940371i
$556$	20.3117	+	6.35364i	0.861409	+	0.269454i
$557$	−7.59987	−	3.47074i	−0.322017	−	0.147060i	0.247847	−	0.968799i	$-0.420277\pi$
$557$	−7.59987	−	3.47074i	−0.322017	−	0.147060i	−0.569864	+	0.821739i	$0.693004\pi$
$558$	−1.69552	−	27.0420i	−0.0717770	−	1.14478i
$559$	11.3203	+	3.32393i	0.478796	+	0.140587i
$560$	2.26090	+	8.83708i	0.0955407	+	0.373435i
$561$	1.66331	+	3.64215i	0.0702252	+	0.153772i
$562$	−25.4001	+	5.29227i	−1.07144	+	0.223241i
$563$	21.7521	+	18.8483i	0.916742	+	0.794361i	0.979034	−	0.203697i	$-0.0652956\pi$
$563$	21.7521	+	18.8483i	0.916742	+	0.794361i	−0.0622922	+	0.998058i	$0.519841\pi$
$564$	−35.5406	−	42.5019i	−1.49653	−	1.78965i
$565$	−1.03681	−	3.53106i	−0.0436191	−	0.148553i
$566$	−10.7082	+	3.88717i	−0.450098	+	0.163390i
$567$	57.7349	−	37.1040i	2.42464	−	1.55822i
$568$	20.7114	+	12.0282i	0.869032	+	0.504691i
$569$	4.68768	+	32.6036i	0.196518	+	1.36681i	0.814291	+	0.580456i	$0.197126\pi$
$569$	4.68768	+	32.6036i	0.196518	+	1.36681i	−0.617774	+	0.786356i	$0.711965\pi$
$570$	−12.8384	−	7.15735i	−0.537740	−	0.299789i
$571$	2.15732	+	0.310176i	0.0902810	+	0.0129805i	0.187307	−	0.982301i	$-0.440024\pi$
$571$	2.15732	+	0.310176i	0.0902810	+	0.0129805i	−0.0970263	+	0.995282i	$0.530933\pi$
$572$	17.1319	+	15.3799i	0.716319	+	0.643066i
$573$	−27.5031	+	23.8316i	−1.14896	+	0.995578i
$574$	−31.6930	−	2.54667i	−1.32284	−	0.106296i
$575$	−0.710796	−	21.3024i	−0.0296423	−	0.888370i
$576$	−51.7979	−	27.0385i	−2.15825	−	1.12660i
$577$	−21.1048	−	24.3563i	−0.878605	−	1.01396i	−0.999772	−	0.0213325i	$-0.993209\pi$
$577$	−21.1048	−	24.3563i	−0.878605	−	1.01396i	0.121167	−	0.992632i	$-0.461336\pi$
$578$	−19.0268	−	14.5058i	−0.791411	−	0.603360i
$579$	−6.56631	−	0.944092i	−0.272886	−	0.0392351i
$580$	3.17535	−	4.75518i	0.131849	−	0.197448i
$581$	12.5807	−	1.80883i	0.521935	−	0.0750430i
$582$	−18.8970	+	49.3372i	−0.783307	+	2.04509i
$583$	10.3074	−	6.62419i	0.426890	−	0.274346i
$584$	−0.777659	−	4.09092i	−0.0321797	−	0.169283i
$585$	13.8058	−	4.05376i	0.570801	−	0.167602i
$586$	7.54838	+	7.68214i	0.311821	+	0.317346i
$587$	−11.3100	−	9.80016i	−0.466813	−	0.404496i	0.389440	−	0.921052i	$-0.372668\pi$
$587$	−11.3100	−	9.80016i	−0.466813	−	0.404496i	−0.856254	+	0.516556i	$0.827214\pi$
$588$	−1.89135	−	15.0233i	−0.0779978	−	0.619552i
$589$	10.3644	−	4.73328i	0.427060	−	0.195032i
$590$	4.61793	−	2.46918i	0.190117	−	0.101655i
$591$	−49.7975	−	14.6219i	−2.04839	−	0.601463i
$592$	43.3269	+	7.79150i	1.78072	+	0.320229i
$593$	−1.78563	+	3.90998i	−0.0733270	+	0.160564i	−0.942746	−	0.333512i	$-0.891766\pi$
$593$	−1.78563	+	3.90998i	−0.0733270	+	0.160564i	0.869419	+	0.494076i	$0.164493\pi$
$594$	−18.8189	+	82.9930i	−0.772147	+	3.40524i
$595$	0.353065	−	0.549380i	0.0144743	−	0.0225224i
$596$	36.3341	−	22.4587i	1.48830	−	0.919944i
$597$			46.3460i			1.89682i
$598$	17.4157	−	4.23925i	0.712181	−	0.173356i
$599$	−25.8870			−1.05772			−0.528858	−	0.848710i	$-0.677380\pi$
$599$	−25.8870			−1.05772			−0.528858	+	0.848710i	$0.677380\pi$
$600$	35.9119	−	18.3983i	1.46610	−	0.751106i
$601$	12.5705	+	8.07860i	0.512763	+	0.329533i	0.771303	−	0.636468i	$-0.219605\pi$
$601$	12.5705	+	8.07860i	0.512763	+	0.329533i	−0.258540	+	0.966000i	$0.583242\pi$
$602$	18.8359	+	4.27108i	0.767693	+	0.174076i
$603$	17.8990	+	8.17420i	0.728903	+	0.332879i
$604$	−0.177380	+	10.0977i	−0.00721748	+	0.410870i
$605$	−1.67437	+	5.70238i	−0.0680728	+	0.231835i
$606$	44.8781	−	23.9961i	1.82305	−	0.974774i
$607$	−10.0010	−	21.8990i	−0.405926	−	0.888854i	−0.996635	−	0.0819693i	$-0.973879\pi$
$607$	−10.0010	−	21.8990i	−0.405926	−	0.888854i	0.590709	−	0.806885i	$-0.298848\pi$
$608$	2.82707	−	24.4081i	0.114653	−	0.989881i
$609$	−24.6632	+	28.4628i	−0.999403	+	1.15337i
$610$	−1.90036	+	1.86727i	−0.0769434	+	0.0756037i
$611$	6.42550	+	21.8832i	0.259948	+	0.885301i
$612$	1.10786	+	4.03382i	0.0447827	+	0.163058i
$613$	6.15375	+	9.57543i	0.248548	+	0.386748i	0.943001	−	0.332790i	$-0.107990\pi$
$613$	6.15375	+	9.57543i	0.248548	+	0.386748i	−0.694453	+	0.719538i	$0.744354\pi$
$614$	9.68090	−	25.2753i	0.390689	−	1.02003i
$615$	−2.50265	−	17.4063i	−0.100917	−	0.701891i
$616$	29.5661	+	23.3731i	1.19125	+	0.941731i
$617$	−2.97813	+	20.7134i	−0.119895	+	0.833888i	0.837774	+	0.546017i	$0.183857\pi$
$617$	−2.97813	+	20.7134i	−0.119895	+	0.833888i	−0.957669	+	0.287871i	$0.907052\pi$
$618$	−28.8861	+	37.8891i	−1.16197	+	1.52412i
$619$	−6.49725	+	5.62990i	−0.261147	+	0.226285i	−0.775586	−	0.631242i	$-0.782546\pi$
$619$	−6.49725	+	5.62990i	−0.261147	+	0.226285i	0.514439	+	0.857527i	$0.328000\pi$
$620$	0.624472	−	3.86065i	0.0250794	−	0.155047i
$621$	45.0330	+	48.5969i	1.80711	+	1.95012i
$622$	16.8915	+	1.35731i	0.677289	+	0.0544232i
$623$	14.2208	+	16.4116i	0.569743	+	0.657518i
$624$	21.3069	+	26.4093i	0.852957	+	1.05722i
$625$	−2.41560	+	16.8008i	−0.0966239	+	0.672034i
$626$	7.46816	−	13.3959i	0.298488	−	0.535407i
$627$	−60.1136	+	8.64303i	−2.40071	+	0.345169i
$628$	−12.0109	+	25.1230i	−0.479289	+	1.00252i
$629$	−1.70391	−	2.65134i	−0.0679394	−	0.105716i
$630$	22.1411	−	8.03743i	0.882124	−	0.320219i
$631$	−30.6419	+	8.99727i	−1.21983	+	0.358176i	−0.827405	−	0.561606i	$-0.810184\pi$
$631$	−30.6419	+	8.99727i	−1.21983	+	0.358176i	−0.392430	+	0.919782i	$0.628365\pi$
$632$	−21.0997	+	14.9442i	−0.839301	+	0.594448i
$633$	−5.72175	+	6.60325i	−0.227419	+	0.262455i
$634$	4.99743	+	23.9851i	0.198473	+	0.952569i
$635$	−4.88662	+	2.23165i	−0.193920	+	0.0885602i
$636$	16.5561	−	7.21221i	0.656491	−	0.285983i
$637$	−1.75611	+	5.98075i	−0.0695794	+	0.236966i
$638$	−1.47839	−	23.5789i	−0.0585299	−	0.933498i
$639$	25.6924	−	56.2586i	1.01638	−	2.22556i
$640$	−6.42823	−	5.45935i	−0.254098	−	0.215800i
$641$	−8.46971	−	5.44315i	−0.334533	−	0.214992i	0.362580	−	0.931953i	$-0.381896\pi$
$641$	−8.46971	−	5.44315i	−0.334533	−	0.214992i	−0.697113	+	0.716961i	$0.745532\pi$
$642$	−33.6562	−	45.7923i	−1.32830	−	1.80728i
$643$			22.6001i			0.891260i	0.895217	+	0.445630i	$0.147020\pi$
$643$			22.6001i			0.891260i	−0.895217	+	0.445630i	$0.852980\pi$
$644$	28.0200	−	8.71028i	1.10414	−	0.343233i
$645$			10.6823i			0.420614i
$646$	−1.41746	+	1.04180i	−0.0557692	+	0.0409890i
$647$	6.36892	+	4.09306i	0.250388	+	0.160915i	0.659815	−	0.751428i	$-0.270635\pi$
$647$	6.36892	+	4.09306i	0.250388	+	0.160915i	−0.409426	+	0.912343i	$0.634271\pi$
$648$	−23.7330	+	58.8474i	−0.932321	+	2.31174i
$649$	8.98815	−	19.6813i	0.352816	−	0.772559i
$650$	−16.5779	+	1.03943i	−0.650239	+	0.0407697i
$651$	−7.25718	+	24.7157i	−0.284431	+	0.968684i
$652$	−16.9643	−	38.9426i	−0.664375	−	1.52511i
$653$	−22.6788	+	10.3571i	−0.887492	+	0.405304i	−0.806378	−	0.591401i	$-0.798575\pi$
$653$	−22.6788	+	10.3571i	−0.887492	+	0.405304i	−0.0811141	+	0.996705i	$0.525848\pi$
$654$	57.4828	−	11.9769i	2.24775	−	0.468333i
$655$	8.56215	−	9.88125i	0.334551	−	0.386093i
$656$	25.2731	−	15.0148i	0.986750	−	0.586228i
$657$	−10.3175	+	3.02949i	−0.402524	+	0.118192i
$658$	12.7399	+	35.0953i	0.496653	+	1.36816i
$659$	18.9980	+	29.5615i	0.740058	+	1.15155i	0.983372	+	0.181605i	$0.0581292\pi$
$659$	18.9980	+	29.5615i	0.740058	+	1.15155i	−0.243314	+	0.969948i	$0.578234\pi$
$660$	−8.99106	+	18.8064i	−0.349977	+	0.732036i
$661$	−39.0954	+	5.62107i	−1.52064	+	0.218634i	−0.851440	−	0.524452i	$-0.824270\pi$
$661$	−39.0954	+	5.62107i	−1.52064	+	0.218634i	−0.669196	+	0.743086i	$0.733361\pi$
$662$	40.9643	+	22.8375i	1.59212	+	0.887604i
$663$	0.345732	−	2.40462i	0.0134271	−	0.0933876i
$664$	−8.52548	+	8.08767i	−0.330853	+	0.313863i
$665$	6.48663	+	7.48597i	0.251541	+	0.290293i
$666$	9.10509	−	113.312i	0.352815	−	4.39074i
$667$	−15.7965	−	9.42264i	−0.611642	−	0.364846i
$668$	3.17395	+	0.513397i	0.122804	+	0.0198639i
$669$	70.4535	−	61.0483i	2.72389	−	2.36027i
$670$	2.25862	+	1.72194i	0.0872581	+	0.0665243i
$671$	−1.56660	+	10.8959i	−0.0604780	+	0.420633i
$672$	37.5172	+	40.9657i	1.44726	+	1.58029i
$673$	−0.357655	−	2.48755i	−0.0137866	−	0.0958878i	0.981766	−	0.190092i	$-0.0608785\pi$
$673$	−0.357655	−	2.48755i	−0.0137866	−	0.0958878i	−0.995553	+	0.0942039i	$0.969969\pi$
$674$	13.6396	+	5.22419i	0.525376	+	0.201228i
$675$	−33.1943	−	51.6514i	−1.27765	−	1.98806i
$676$	3.18636	+	11.6018i	0.122552	+	0.446224i
$677$	−2.32084	−	7.90407i	−0.0891973	−	0.303778i	0.902796	−	0.430069i	$-0.141511\pi$
$677$	−2.32084	−	7.90407i	−0.0891973	−	0.303778i	−0.991993	+	0.126291i	$0.959693\pi$
$678$	−15.7073	−	15.9857i	−0.603237	−	0.613927i
$679$	23.3153	−	26.9072i	0.894758	−	1.03261i
$680$	0.0271934	+	0.603177i	0.00104282	+	0.0231308i
$681$	27.5814	+	60.3948i	1.05692	+	2.31433i
$682$	−7.61918	−	14.2496i	−0.291754	−	0.545645i
$683$	3.22215	−	10.9736i	0.123292	−	0.419894i	−0.874596	−	0.484853i	$-0.838873\pi$
$683$	3.22215	−	10.9736i	0.123292	−	0.419894i	0.997888	+	0.0649583i	$0.0206914\pi$
$684$	−63.4402	−	1.11441i	−2.42570	−	0.0426106i
$685$	2.76956	+	1.26482i	0.105820	+	0.0483262i
$686$	4.44053	−	19.5832i	0.169540	−	0.747689i
$687$	21.6845	+	13.9358i	0.827316	+	0.531684i
$688$	−16.4940	+	6.84307i	−0.628828	+	0.260890i
$689$	−7.43397			−0.283212
$690$	8.12530	+	14.0484i	0.309325	+	0.534812i
$691$			19.0971i			0.726488i	0.931694	+	0.363244i	$0.118331\pi$
$691$			19.0971i			0.726488i	−0.931694	+	0.363244i	$0.881669\pi$
$692$	−29.0752	+	17.9718i	−1.10527	+	0.683187i
$693$	52.6170	−	81.8737i	1.99876	−	3.11012i
$694$	20.9758	+	4.75632i	0.796231	+	0.180547i
$695$	3.29520	−	7.21548i	0.124994	−	0.273699i
$696$	3.39821	−	34.6547i	0.128809	−	1.31358i
$697$	−2.01935	−	0.592935i	−0.0764884	−	0.0224590i
$698$	12.7811	+	23.9035i	0.483770	+	0.904759i
$699$	19.6000	−	8.95100i	0.741338	−	0.338558i
$700$	−26.9790	+	3.39650i	−1.01971	+	0.128375i
$701$	−26.8440	−	23.2604i	−1.01388	−	0.878534i	−0.0212594	−	0.999774i	$-0.506768\pi$
$701$	−26.8440	−	23.2604i	−1.01388	−	0.878534i	−0.992623	+	0.121240i	$0.961313\pi$
$702$	36.8291	−	36.1879i	1.39003	−	1.36582i
$703$	45.8674	−	13.4679i	1.72992	−	0.507951i
$704$	−34.7977	−	1.83532i	−1.31149	−	0.0691711i
$705$	−17.3718	+	11.1642i	−0.654261	+	0.420468i
$706$	11.0861	+	4.24616i	0.417230	+	0.159806i
$707$	−33.9458	+	4.88067i	−1.27666	+	0.183557i
$708$	17.7095	−	26.5205i	0.665564	−	0.996702i
$709$	4.02108	+	0.578145i	0.151015	+	0.0217127i	0.217408	−	0.976081i	$-0.430240\pi$
$709$	4.02108	+	0.578145i	0.151015	+	0.0217127i	−0.0663926	+	0.997794i	$0.521149\pi$
$710$	5.41225	−	7.09910i	0.203118	−	0.266425i
$711$	43.7231	+	50.4592i	1.63975	+	1.89237i
$712$	−19.4996	−	4.78317i	−0.730779	−	0.179257i
$713$	−12.5050	−	1.37410i	−0.468317	−	0.0514606i
$714$	0.318537	−	3.96416i	0.0119210	−	0.148355i
$715$	6.48507	−	5.61934i	0.242528	−	0.210152i
$716$	−13.0406	+	14.5261i	−0.487350	+	0.542866i
$717$	−13.0092	−	1.87044i	−0.485838	−	0.0698530i
$718$	−16.6015	+	29.7787i	−0.619563	+	1.11133i
$719$	4.54967	+	31.6436i	0.169674	+	1.18011i	0.879559	+	0.475790i	$0.157838\pi$
$719$	4.54967	+	31.6436i	0.169674	+	1.18011i	−0.709885	+	0.704318i	$0.751253\pi$
$720$	−12.4103	+	17.8961i	−0.462505	+	0.666947i
$721$	27.0104	−	17.3585i	1.00592	−	0.646465i
$722$	0.0640971	+	0.176572i	0.00238545	+	0.00657131i
$723$	−14.6996	−	50.0623i	−0.546684	−	1.86184i
$724$	−11.8248	−	14.1409i	−0.439464	−	0.525543i
$725$	12.8819	+	11.1622i	0.478422	+	0.414555i
$726$	7.38235	+	35.4314i	0.273985	+	1.31498i
$727$	10.9358	+	23.9460i	0.405585	+	0.888108i	0.996673	+	0.0815009i	$0.0259713\pi$
$727$	10.9358	+	23.9460i	0.405585	+	0.888108i	−0.591088	+	0.806607i	$0.701301\pi$
$728$	−7.42404	−	21.6284i	−0.275153	−	0.801603i
$729$	29.5688	+	8.68217i	1.09514	+	0.321562i
$730$	−1.54902	+	0.0971231i	−0.0573320	+	0.00359469i
$731$	1.16292	+	0.531086i	0.0430120	+	0.0196429i
$732$	−4.84370	+	15.4847i	−0.179028	+	0.572329i
$733$	14.5766	−	22.6816i	0.538399	−	0.837765i	−0.460352	−	0.887737i	$-0.652277\pi$
$733$	14.5766	−	22.6816i	0.538399	−	0.837765i	0.998751	+	0.0499716i	$0.0159131\pi$
$734$	26.1919	+	35.6364i	0.966761	+	1.31536i
$735$	−5.64368			−0.208170
$736$	−16.4864	+	21.5453i	−0.607695	+	0.794170i
$737$	11.7349			0.432260
$738$	−44.9562	−	61.1669i	−1.65486	−	2.25159i
$739$	17.5700	−	27.3395i	0.646324	−	1.00570i	−0.351263	−	0.936277i	$-0.614248\pi$
$739$	17.5700	−	27.3395i	0.646324	−	1.00570i	0.997587	−	0.0694236i	$-0.0221160\pi$
$740$	4.89840	−	15.6595i	0.180069	−	0.575656i
$741$	33.5181	+	15.3072i	1.23132	+	0.562323i
$742$	−12.1459	+	0.761539i	−0.445888	+	0.0279570i
$743$	−40.6534	−	11.9369i	−1.49143	−	0.437923i	−0.568432	−	0.822730i	$-0.692450\pi$
$743$	−40.6534	−	11.9369i	−1.49143	−	0.437923i	−0.922997	+	0.384807i	$0.874268\pi$
$744$	−7.73213	−	22.5260i	−0.283474	−	0.825843i
$745$	−6.61367	−	14.4819i	−0.242306	−	0.530576i
$746$	−7.18717	−	34.4947i	−0.263141	−	1.26294i
$747$	22.9334	+	19.8719i	0.839090	+	0.727076i
$748$	1.60033	+	1.91379i	0.0585140	+	0.0699752i
$749$	10.7897	+	36.7462i	0.394246	+	1.34268i
$750$	−10.9052	−	30.0411i	−0.398201	−	1.09695i
$751$	16.6952	−	10.7293i	0.609215	−	0.391519i	−0.199348	−	0.979929i	$-0.563882\pi$
$751$	16.6952	−	10.7293i	0.609215	−	0.391519i	0.808563	+	0.588410i	$0.200246\pi$
$752$	−28.3665	−	19.6712i	−1.03442	−	0.717336i
$753$	−10.1393	−	70.5201i	−0.369495	−	2.56989i
$754$	−6.97986	+	12.5200i	−0.254192	+	0.455951i
$755$	3.72587	+	0.535699i	0.135598	+	0.0194961i
$756$	56.4655	−	62.8976i	2.05363	−	2.28757i
$757$	5.07591	−	4.39830i	0.184487	−	0.159859i	−0.557721	−	0.830029i	$-0.688324\pi$
$757$	5.07591	−	4.39830i	0.184487	−	0.159859i	0.742208	+	0.670169i	$0.233779\pi$
$758$	−1.42374	+	17.7183i	−0.0517126	+	0.643557i
$759$	61.8897	+	25.8058i	2.24645	+	0.936690i
$760$	−8.89451	−	2.18179i	−0.322638	−	0.0791417i
$761$	0.860641	+	0.993233i	0.0311982	+	0.0360047i	0.771134	−	0.636673i	$-0.219690\pi$
$761$	0.860641	+	0.993233i	0.0311982	+	0.0360047i	−0.739936	+	0.672677i	$0.765144\pi$
$762$	−19.8345	+	26.0164i	−0.718529	+	0.942475i
$763$	−39.1665	−	5.63129i	−1.41792	−	0.203866i
$764$	−12.5918	+	18.8566i	−0.455556	+	0.682209i
$765$	1.54328	−	0.221891i	0.0557976	−	0.00802248i
$766$	−14.3882	−	5.51095i	−0.519868	−	0.199119i
$767$	−11.0436	+	7.09732i	−0.398763	+	0.256269i
$768$	−50.1979	−	10.8599i	−1.81136	−	0.391872i
$769$	16.0855	−	4.72312i	0.580057	−	0.170320i	0.0214752	−	0.999769i	$-0.493164\pi$
$769$	16.0855	−	4.72312i	0.580057	−	0.170320i	0.558582	+	0.829449i	$0.311346\pi$
$770$	10.0199	−	9.84539i	0.361090	−	0.354803i
$771$	14.4129	+	12.4888i	0.519067	+	0.449774i
$772$	−4.10092	+	0.516281i	−0.147595	+	0.0185814i
$773$	45.1890	−	20.6371i	1.62534	−	0.742266i	0.626040	−	0.779791i	$-0.284675\pi$
$773$	45.1890	−	20.6371i	1.62534	−	0.742266i	0.999296	+	0.0375245i	$0.0119472\pi$
$774$	21.7430	+	40.6643i	0.781535	+	1.46165i
$775$	11.1860	+	3.28450i	0.401812	+	0.117983i
$776$	−3.21249	+	32.7607i	−0.115322	+	1.17604i
$777$	−44.8947	+	98.3056i	−1.61059	+	3.52669i
$778$	−19.4911	−	4.41965i	−0.698789	−	0.158452i
$779$	17.2585	−	26.8547i	0.618350	−	0.962171i
$780$	10.7581	−	6.64977i	0.385203	−	0.238100i
$781$		−	36.8841i		−	1.31982i
$782$	1.93333	−	0.186117i	0.0691356	−	0.00665554i
$783$	−52.9842			−1.89350
$784$	−3.61535	−	8.71415i	−0.129120	−	0.311220i
$785$	8.73129	+	5.61126i	0.311633	+	0.200274i
$786$	17.6076	−	77.6513i	0.628043	−	2.76973i
$787$	−18.9977	−	8.67595i	−0.677194	−	0.309264i	0.0469658	−	0.998896i	$-0.485045\pi$
$787$	−18.9977	−	8.67595i	−0.677194	−	0.309264i	−0.724160	+	0.689632i	$0.757772\pi$
$788$	−32.3318	−	0.567952i	−1.15177	−	0.0202324i
$789$	−5.12810	+	17.4647i	−0.182565	+	0.621760i
$790$	4.54405	+	8.49840i	0.161670	+	0.302359i
$791$	6.27393	+	13.7380i	0.223075	+	0.488466i
$792$	4.05261	+	89.8910i	0.144003	+	3.19414i
$793$	4.37375	−	5.04758i	0.155317	−	0.179245i
$794$	10.3096	+	10.4923i	0.365876	+	0.372359i
$795$	−1.89630	−	6.45820i	−0.0672548	−	0.229049i
$796$	7.64755	+	27.8454i	0.271060	+	0.986953i
$797$	9.85322	+	15.3319i	0.349019	+	0.543084i	0.970733	−	0.240160i	$-0.0771999\pi$
$797$	9.85322	+	15.3319i	0.349019	+	0.543084i	−0.621714	+	0.783244i	$0.713564\pi$
$798$	56.3309	+	21.5757i	1.99409	+	0.763773i
$799$	0.351713	+	2.44622i	0.0124427	+	0.0865409i
$800$	18.5405	−	16.9798i	0.655507	−	0.600326i
$801$	−7.37849	+	51.3185i	−0.260706	+	1.81325i
$802$	31.1622	+	23.7576i	1.10038	+	0.838910i
$803$	−4.84647	+	4.19949i	−0.171028	+	0.148197i
$804$	17.0740	+	2.76177i	0.602153	+	0.0974001i
$805$	−1.91657	−	10.7673i	−0.0675503	−	0.379498i
$806$	−0.785263	+	9.77250i	−0.0276597	+	0.344222i
$807$	−16.1332	−	18.6187i	−0.567916	−	0.655410i
$808$	23.0038	−	21.8225i	0.809272	−	0.767714i
$809$	−0.181514	+	1.26246i	−0.00638171	+	0.0443858i	−0.992763	−	0.120086i	$-0.961683\pi$
$809$	−0.181514	+	1.26246i	−0.00638171	+	0.0443858i	0.986382	+	0.164472i	$0.0525920\pi$
$810$	20.6569	+	11.5161i	0.725808	+	0.404636i
$811$	26.2591	−	3.77549i	0.922082	−	0.132575i	0.335107	−	0.942180i	$-0.391228\pi$
$811$	26.2591	−	3.77549i	0.922082	−	0.132575i	0.586975	+	0.809605i	$0.300319\pi$
$812$	−10.1214	+	21.1706i	−0.355190	+	0.742941i
$813$	−20.5449	−	31.9685i	−0.720540	−	1.12118i
$814$	−23.1326	−	63.7247i	−0.810798	−	2.23355i
$815$	−15.1908	+	4.46041i	−0.532109	+	0.156241i
$816$	1.87804	+	3.16116i	0.0657447	+	0.110663i
$817$	−12.6986	+	14.6550i	−0.444268	+	0.512712i
$818$	−43.4524	+	9.05358i	−1.51928	+	0.316551i
$819$	−53.7131	+	24.5300i	−1.87689	+	0.857146i
$820$	−4.37585	−	10.0450i	−0.152811	−	0.350787i
$821$	6.08418	−	20.7208i	0.212339	−	0.723161i	−0.782586	−	0.622543i	$-0.786100\pi$
$821$	6.08418	−	20.7208i	0.212339	−	0.723161i	0.994925	−	0.100618i	$-0.0320821\pi$
$822$	18.5053	−	1.16027i	0.645446	−	0.0404691i
$823$	8.57268	−	18.7716i	0.298825	−	0.654335i	−0.699346	−	0.714783i	$-0.746526\pi$
$823$	8.57268	−	18.7716i	0.298825	−	0.654335i	0.998171	+	0.0604476i	$0.0192528\pi$
$824$	−11.1031	+	27.5309i	−0.386796	+	0.959083i
$825$	−52.2751	−	33.5952i	−1.81999	−	1.16963i
$826$	−17.3164	+	12.7271i	−0.602514	+	0.442834i
$827$		−	19.9621i		−	0.694151i	−0.937837	−	0.347076i	$-0.887175\pi$
$827$		−	19.9621i		−	0.694151i	0.937837	−	0.347076i	$-0.112825\pi$
$828$	59.5251	+	36.9396i	2.06864	+	1.28374i
$829$			31.1643i			1.08238i	0.840900	+	0.541191i	$0.182027\pi$
$829$			31.1643i			1.08238i	−0.840900	+	0.541191i	$0.817973\pi$
$830$	2.59391	+	3.52925i	0.0900360	+	0.122502i
$831$	−31.1051	−	19.9900i	−1.07902	−	0.693446i
$832$	17.1593	+	12.3513i	0.594891	+	0.428203i
$833$	−0.280585	+	0.614395i	−0.00972168	+	0.0212875i
$834$	−3.02283	−	48.2114i	−0.104672	−	1.66942i
$835$	0.337619	−	1.14983i	0.0116838	−	0.0397913i
$836$	−34.6910	+	15.1122i	−1.19981	+	0.522666i
$837$	−32.9642	+	15.0542i	−1.13941	+	0.520351i
$838$	−7.66992	−	36.8116i	−0.264953	−	1.27164i
$839$	−31.8727	+	36.7831i	−1.10037	+	1.26989i	−0.140306	+	0.990108i	$0.544808\pi$
$839$	−31.8727	+	36.7831i	−1.10037	+	1.26989i	−0.960063	+	0.279785i	$0.909737\pi$
$840$	16.8957	−	11.9667i	0.582958	−	0.412889i
$841$	−13.7118	+	4.02614i	−0.472820	+	0.138833i
$842$	−20.2895	+	7.36528i	−0.699223	+	0.253824i
$843$	31.8388	+	49.5421i	1.09659	+	1.70632i
$844$	−2.34811	+	4.91147i	−0.0808252	+	0.169060i
$845$	4.43869	−	0.638188i	0.152696	−	0.0219543i
$846$	−43.4056	+	77.8580i	−1.49232	+	2.67681i
$847$	3.47103	−	24.1415i	0.119266	−	0.829512i
$848$	8.75704	−	7.06512i	0.300718	−	0.242617i
$849$	16.9328	+	19.5415i	0.581132	+	0.670662i
$850$	−1.79412	−	0.144166i	−0.0615380	−	0.00494484i
$851$	−51.1101	−	13.1728i	−1.75203	−	0.451559i
$852$	8.68056	−	53.6655i	0.297391	−	1.83855i
$853$	−41.1168	+	35.6280i	−1.40781	+	1.21988i	−0.465544	+	0.885025i	$0.654141\pi$
$853$	−41.1168	+	35.6280i	−1.40781	+	1.21988i	−0.942270	+	0.334853i	$0.891313\pi$
$854$	6.62890	−	8.69494i	0.226836	−	0.297535i
$855$	−3.36561	+	23.4083i	−0.115101	+	0.800547i
$856$	−27.7773	−	21.9591i	−0.949409	−	0.750545i
$857$	2.09285	+	14.5561i	0.0714904	+	0.497227i	0.993836	+	0.110861i	$0.0353607\pi$
$857$	2.09285	+	14.5561i	0.0714904	+	0.497227i	−0.922346	+	0.386366i	$0.873730\pi$
$858$	18.6910	−	48.7993i	0.638100	−	1.66598i
$859$	16.9881	+	26.4339i	0.579625	+	0.901914i	0.999985	−	0.00544316i	$-0.00173262\pi$
$859$	16.9881	+	26.4339i	0.579625	+	0.901914i	−0.420360	+	0.907357i	$0.638096\pi$
$860$	1.76268	+	6.41806i	0.0601069	+	0.218854i
$861$	20.3321	+	69.2446i	0.692915	+	2.35985i
$862$	20.7148	−	20.3541i	0.705550	−	0.693265i
$863$	−20.3552	+	23.4911i	−0.692898	+	0.799647i	−0.987775	−	0.155888i	$-0.950176\pi$
$863$	−20.3552	+	23.4911i	−0.692898	+	0.799647i	0.294877	+	0.955535i	$0.404721\pi$
$864$	−8.99152	+	77.6302i	−0.305898	+	2.64103i
$865$	5.29237	+	11.5887i	0.179946	+	0.394027i
$866$	−9.42304	+	5.03845i	−0.320208	+	0.171213i
$867$	−15.2998	+	52.1062i	−0.519607	+	1.76962i
$868$	−0.281888	+	16.0470i	−0.00956790	+	0.544672i
$869$	36.2196	+	16.5409i	1.22867	+	0.561113i
$870$	−12.6571	−	2.87003i	−0.429116	−	0.0973030i
$871$	−5.98967	−	3.84932i	−0.202952	−	0.130429i
$872$	32.5602	−	16.6811i	1.10263	−	0.564894i
$873$	85.0031			2.87692
$874$	−5.55299	+	28.9319i	−0.187833	+	0.978636i
$875$			21.5371i			0.728087i
$876$	−8.03984	+	4.96956i	−0.271641	+	0.167906i
$877$	−17.9245	+	27.8910i	−0.605266	+	0.941813i	0.394471	+	0.918908i	$0.370928\pi$
$877$	−17.9245	+	27.8910i	−0.605266	+	0.941813i	−0.999738	+	0.0229044i	$0.992709\pi$
$878$	−6.78691	+	29.9309i	−0.229047	+	1.01012i
$879$	10.1550	−	22.2365i	0.342521	−	0.750017i
$880$	−2.29873	+	12.7827i	−0.0774901	+	0.430906i
$881$	42.5163	+	12.4839i	1.43241	+	0.420593i	0.903684	−	0.428200i	$-0.140852\pi$
$881$	42.5163	+	12.4839i	1.43241	+	0.420593i	0.528725	+	0.848793i	$0.322670\pi$
$882$	−21.4839	+	11.4873i	−0.723399	+	0.386798i
$883$	49.6064	−	22.6545i	1.66939	−	0.762384i	0.669582	−	0.742738i	$-0.266473\pi$
$883$	49.6064	−	22.6545i	1.66939	−	0.762384i	0.999807	−	0.0196462i	$-0.00625400\pi$
$884$	−0.189065	−	1.50178i	−0.00635894	−	0.0505103i
$885$	−8.98281	−	7.78365i	−0.301954	−	0.261644i
$886$	−0.171614	−	0.174656i	−0.00576550	−	0.00586767i
$887$	−9.83956	+	2.88916i	−0.330380	+	0.0970084i	−0.442716	−	0.896662i	$-0.645985\pi$
$887$	−9.83956	+	2.88916i	−0.330380	+	0.0970084i	0.112336	+	0.993670i	$0.464167\pi$
$888$	−18.6600	−	98.1621i	−0.626190	−	3.29411i
$889$	18.5466	−	11.9192i	0.622032	−	0.399756i
$890$	−2.67663	+	6.98827i	−0.0897209	+	0.234247i
$891$	96.7225	−	13.9066i	3.24032	−	0.465888i
$892$	32.2559	−	48.3043i	1.08001	−	1.61735i
$893$	−37.1038	−	5.33473i	−1.24163	−	0.178520i
$894$	−77.1018	−	58.7813i	−2.57867	−	1.96594i
$895$	4.76464	+	5.49869i	0.159264	+	0.183801i
$896$	29.3006	+	18.4221i	0.978865	+	0.615439i
$897$	−23.1246	−	33.4730i	−0.772107	−	1.11763i
$898$	7.29477	+	0.586166i	0.243429	+	0.0195606i
$899$	7.60329	−	6.58829i	0.253584	−	0.219732i
$900$	−48.3096	−	43.3693i	−1.61032	−	1.44564i
$901$	−0.797345	−	0.114641i	−0.0265634	−	0.00381924i
$902$	−39.5413	−	22.0442i	−1.31658	−	0.733990i
$903$	−6.23889	−	43.3924i	−0.207617	−	1.44401i
$904$	−12.0750	−	7.01257i	−0.401609	−	0.233235i
$905$	−5.77981	+	3.71446i	−0.192128	+	0.123473i
$906$	21.5473	−	7.82187i	0.715861	−	0.259864i
$907$	−14.1833	−	48.3038i	−0.470948	−	1.60390i	−0.762258	−	0.647273i	$-0.775909\pi$
$907$	−14.1833	−	48.3038i	−0.470948	−	1.60390i	0.291310	−	0.956629i	$-0.405909\pi$
$908$	26.5370	+	31.7349i	0.880662	+	1.05316i
$909$	−61.8800	−	53.6193i	−2.05243	−	1.77844i
$910$	−8.34382	+	1.73849i	−0.276595	+	0.0576302i
$911$	−19.2809	−	42.2194i	−0.638806	−	1.39879i	−0.901019	−	0.433780i	$-0.857180\pi$
$911$	−19.2809	−	42.2194i	−0.638806	−	1.39879i	0.262213	−	0.965010i	$-0.415548\pi$
$912$	−54.0312	+	13.8235i	−1.78915	+	0.457741i
$913$	17.3640	+	5.09852i	0.574663	+	0.168736i
$914$	−1.03072	−	16.4390i	−0.0340931	−	0.543753i
$915$	5.50072	+	2.51210i	0.181848	+	0.0830474i
$916$	15.3279	+	4.79467i	0.506449	+	0.158420i
$917$	−29.0093	+	45.1393i	−0.957970	+	1.49063i
$918$	4.50824	−	3.31345i	0.148794	−	0.109360i
$919$	47.0971			1.55359			0.776795	−	0.629753i	$-0.216844\pi$
$919$	47.0971			1.55359			0.776795	+	0.629753i	$0.216844\pi$
$920$	7.19992	+	7.09971i	0.237374	+	0.234070i
$921$	−61.4336			−2.02430
$922$	−9.15953	+	6.73203i	−0.301653	+	0.221708i
$923$	−12.0989	+	18.8262i	−0.398239	+	0.619672i
$924$	25.5389	−	81.6444i	0.840168	−	2.68590i
$925$	44.4918	+	20.3187i	1.46288	+	0.668076i
$926$	−0.414531	−	6.61139i	−0.0136223	−	0.217264i
$927$	73.5511	+	21.5965i	2.41573	+	0.709324i
$928$	−3.67667	−	21.3818i	−0.120693	−	0.701892i
$929$	13.2865	+	29.0933i	0.435915	+	0.954521i	0.992330	+	0.123616i	$0.0394492\pi$
$929$	13.2865	+	29.0933i	0.435915	+	0.954521i	−0.556415	+	0.830905i	$0.687824\pi$
$930$	−8.69008	+	1.81063i	−0.284959	+	0.0593730i
$931$	−7.74254	−	6.70895i	−0.253752	−	0.219877i
$932$	10.2989	−	8.61208i	0.337353	−	0.282098i
$933$	−10.8365	−	36.9056i	−0.354770	−	1.20824i
$934$	−26.9773	+	9.79299i	−0.882723	+	0.320436i
$935$	0.782225	−	0.502706i	0.0255815	−	0.0164402i
$936$	27.4179	−	47.2112i	0.896183	−	1.54315i
$937$	−7.75997	−	53.9718i	−0.253507	−	1.76318i	−0.576804	−	0.816883i	$-0.695700\pi$
$937$	−7.75997	−	53.9718i	−0.253507	−	1.76318i	0.323297	−	0.946298i	$-0.395209\pi$
$938$	−10.1804	−	5.67556i	−0.332403	−	0.185314i
$939$	−34.4572	−	4.95420i	−1.12447	−	0.161674i
$940$	−8.59504	+	9.57413i	−0.280339	+	0.312274i
$941$	28.5904	−	24.7737i	0.932021	−	0.807601i	−0.0495357	−	0.998772i	$-0.515774\pi$
$941$	28.5904	−	24.7737i	0.932021	−	0.807601i	0.981557	+	0.191172i	$0.0612287\pi$
$942$	63.0022	+	5.06251i	2.05272	+	0.164945i
$943$	−31.5544	+	15.7026i	−1.02755	+	0.511346i
$944$	6.26398	−	18.8562i	0.203875	−	0.613716i
$945$	−20.6308	−	23.8092i	−0.671119	−	0.774512i
$946$	21.8693	+	16.6728i	0.711032	+	0.542080i
$947$	14.3196	+	2.05885i	0.465324	+	0.0669035i	0.370990	−	0.928637i	$-0.379019\pi$
$947$	14.3196	+	2.05885i	0.465324	+	0.0669035i	0.0943346	+	0.995541i	$0.469928\pi$
$948$	48.8058	+	32.5909i	1.58514	+	1.05850i
$949$	3.85125	−	0.553726i	0.125017	−	0.0179747i
$950$	9.76490	−	25.4946i	0.316815	−	0.827155i
$951$	46.7821	−	30.0650i	1.51701	−	0.974924i
$952$	−0.462743	−	2.43428i	−0.0149976	−	0.0788956i
$953$	−14.1857	+	4.16530i	−0.459520	+	0.134927i	−0.503296	−	0.864114i	$-0.667879\pi$
$953$	−14.1857	+	4.16530i	−0.459520	+	0.134927i	0.0437760	+	0.999041i	$0.486061\pi$
$954$	−20.3639	−	20.7247i	−0.659305	−	0.670988i
$955$	6.38696	+	5.53433i	0.206677	+	0.179087i
$956$	−8.12477	+	1.02286i	−0.262774	+	0.0330816i
$957$	−48.7781	+	22.2762i	−1.57677	+	0.720088i
$958$	−5.77018	+	3.08528i	−0.186426	+	0.0996810i
$959$	−11.9889	−	3.52027i	−0.387143	−	0.113676i
$960$	−6.35298	+	18.0576i	−0.205042	+	0.582807i
$961$	−10.0194	+	21.9394i	−0.323206	+	0.707722i
$962$	−9.09598	+	40.1141i	−0.293266	+	1.29333i
$963$	−49.4337	+	76.9203i	−1.59298	+	2.47872i
$964$	−17.0925	−	27.6526i	−0.550513	−	0.890629i
$965$			1.54055i			0.0495922i
$966$	−41.2106	−	52.3203i	−1.32593	−	1.68338i
$967$	−26.0110			−0.836459			−0.418229	−	0.908342i	$-0.637349\pi$
$967$	−26.0110			−0.836459			−0.418229	+	0.908342i	$0.637349\pi$
$968$	10.2820	+	20.0695i	0.330474	+	0.645059i
$969$	3.35899	+	2.15869i	0.107906	+	0.0693471i
$970$	11.9653	+	2.71317i	0.384184	+	0.0871147i
$971$	−16.5975	−	7.57983i	−0.532639	−	0.243248i	0.130892	−	0.991397i	$-0.458216\pi$
$971$	−16.5975	−	7.57983i	−0.532639	−	0.243248i	−0.663531	+	0.748148i	$0.730943\pi$
$972$	61.1248	+	1.07374i	1.96058	+	0.0344402i
$973$	−9.17128	+	31.2345i	−0.294018	+	1.00133i
$974$	−0.225511	+	0.120579i	−0.00722583	+	0.00386361i
$975$	15.6620	+	34.2950i	0.501586	+	1.09832i
$976$	−0.355044	+	10.1027i	−0.0113647	+	0.323379i
$977$	21.4911	−	24.8021i	0.687562	−	0.793489i	−0.299454	−	0.954111i	$-0.596804\pi$
$977$	21.4911	−	24.8021i	0.687562	−	0.793489i	0.987016	+	0.160622i	$0.0513499\pi$
$978$	−68.7711	+	67.5736i	−2.19906	+	2.16077i
$979$	8.71104	+	29.6671i	0.278406	+	0.948163i
$980$	−3.39081	+	0.931263i	−0.108315	+	0.0297481i
$981$	−51.0751	−	79.4744i	−1.63070	−	2.53742i
$982$	−7.37219	+	19.2476i	−0.235256	+	0.614217i
$983$	5.84254	+	40.6358i	0.186348	+	1.29608i	0.841366	+	0.540466i	$0.181752\pi$
$983$	5.84254	+	40.6358i	0.186348	+	1.29608i	−0.655018	+	0.755614i	$0.727339\pi$
$984$	−52.3436	−	41.3797i	−1.66865	−	1.31914i
$985$	−1.71525	+	11.9299i	−0.0546525	+	0.380117i
$986$	−0.941712	+	1.23522i	−0.0299902	+	0.0393373i
$987$	64.0457	−	55.4959i	2.03860	−	1.76646i
$988$	22.6640	+	3.66597i	0.721037	+	0.116630i
$989$	20.3302	−	6.71362i	0.646462	−	0.213481i
$990$	33.4304	+	2.68628i	1.06249	+	0.0853755i
$991$	27.8689	+	32.1624i	0.885284	+	1.02167i	0.999601	+	0.0282284i	$0.00898658\pi$
$991$	27.8689	+	32.1624i	0.885284	+	1.02167i	−0.114317	+	0.993444i	$0.536468\pi$
$992$	−8.36259	−	12.2581i	−0.265513	−	0.389194i
$993$	15.1498	−	105.369i	0.480766	−	3.34380i
$994$	−17.8389	+	31.9982i	−0.565817	+	1.01492i
$995$	10.6533	−	1.53171i	0.337731	−	0.0485584i
$996$	24.0642	+	11.5048i	0.762504	+	0.364543i
$997$	−14.4847	−	22.5387i	−0.458736	−	0.713808i	0.532424	−	0.846478i	$-0.321281\pi$
$997$	−14.4847	−	22.5387i	−0.458736	−	0.713808i	−0.991160	+	0.132670i	$0.957645\pi$
$998$	−2.47964	+	0.900130i	−0.0784915	+	0.0284931i
$999$	−145.882	+	42.8347i	−4.61549	+	1.35523i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	184.2.p.a.13.8	yes	220
4.3	odd	2		736.2.x.a.657.22		220
8.3	odd	2		736.2.x.a.657.1		220
8.5	even	2	inner	184.2.p.a.13.6	✓	220
23.16	even	11	inner	184.2.p.a.85.6	yes	220
92.39	odd	22		736.2.x.a.177.1		220
184.85	even	22	inner	184.2.p.a.85.8	yes	220
184.131	odd	22		736.2.x.a.177.22		220

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
184.2.p.a.13.6	✓	220	8.5	even	2	inner
184.2.p.a.13.8	yes	220	1.1	even	1	trivial
184.2.p.a.85.6	yes	220	23.16	even	11	inner
184.2.p.a.85.8	yes	220	184.85	even	22	inner
736.2.x.a.177.1		220	92.39	odd	22
736.2.x.a.177.22		220	184.131	odd	22
736.2.x.a.657.1		220	8.3	odd	2
736.2.x.a.657.22		220	4.3	odd	2

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 $\F_{q}$
Belyi maps

Level:	\( N \)	\(=\)	\( 184 = 2^{3} \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	184.p (of order \(22\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.837531 - 1.13954i) q^{2} +(-1.73543 + 2.70038i) q^{3} +(-0.597083 + 1.90879i) q^{4} +(0.678074 + 0.309666i) q^{5} +(4.53066 - 0.284070i) q^{6} +(-2.93526 - 0.861871i) q^{7} +(2.67521 - 0.918277i) q^{8} +(-3.03410 - 6.64376i) q^{9} +(-0.215033 - 1.03204i) q^{10} +(-3.29186 - 2.85242i) q^{11} +(-4.11828 - 4.92493i) q^{12} +(0.744558 + 2.53573i) q^{13} +(1.47624 + 4.06668i) q^{14} +(-2.01297 + 1.29366i) q^{15} +(-3.28698 - 2.27941i) q^{16} +(0.0407549 + 0.283456i) q^{17} +(-5.02965 + 9.02183i) q^{18} +(-4.29942 - 0.618164i) q^{19} +(-0.995955 + 1.10941i) q^{20} +(7.42133 - 6.43062i) q^{21} +(-0.493391 + 6.14018i) q^{22} +(3.72717 + 3.01799i) q^{23} +(-2.16295 + 8.81771i) q^{24} +(-2.91041 - 3.35879i) q^{25} +(2.26596 - 2.97220i) q^{26} +(13.6743 + 1.96607i) q^{27} +(3.39773 - 5.08820i) q^{28} +(-3.79624 + 0.545817i) q^{29} +(3.16009 + 1.21037i) q^{30} +(-2.20675 + 1.41819i) q^{31} +(0.155479 + 5.65472i) q^{32} +(13.4154 - 3.93912i) q^{33} +(0.288875 - 0.283845i) q^{34} +(-1.72343 - 1.49336i) q^{35} +(14.4932 - 1.82460i) q^{36} +(-10.0109 + 4.57184i) q^{37} +(2.89648 + 5.41708i) q^{38} +(-8.13957 - 2.38999i) q^{39} +(2.09835 + 0.205763i) q^{40} +(-3.05297 + 6.68508i) q^{41} +(-13.5435 - 3.07102i) q^{42} +(2.41358 - 3.75561i) q^{43} +(7.41019 - 4.58036i) q^{44} -5.44452i q^{45} +(0.317483 - 6.77490i) q^{46} +8.62995 q^{47} +(11.8596 - 4.92035i) q^{48} +(1.98417 + 1.27515i) q^{49} +(-1.38990 + 6.12961i) q^{50} +(-0.836168 - 0.381865i) q^{51} +(-5.28475 - 0.0928337i) q^{52} +(-0.792496 + 2.69899i) q^{53} +(-9.21228 - 17.2291i) q^{54} +(-1.34883 - 2.95353i) q^{55} +(-8.64389 + 0.389697i) q^{56} +(9.13063 - 10.5373i) q^{57} +(3.80145 + 3.86881i) q^{58} +(1.39946 + 4.76613i) q^{59} +(-1.26741 - 4.61476i) q^{60} +(-1.36632 - 2.12604i) q^{61} +(3.46431 + 1.32689i) q^{62} +(3.17983 + 22.1162i) q^{63} +(6.31353 - 4.91318i) q^{64} +(-0.280364 + 1.94998i) q^{65} +(-15.7246 - 11.9882i) q^{66} +(-2.03607 + 1.76426i) q^{67} +(-0.565394 - 0.0914543i) q^{68} +(-14.6180 + 4.82727i) q^{69} +(-0.258311 + 3.21465i) q^{70} +(5.54528 + 6.39960i) q^{71} +(-14.2177 - 14.9873i) q^{72} +(0.209524 - 1.45727i) q^{73} +(13.5942 + 7.57875i) q^{74} +(14.1209 - 2.03027i) q^{75} +(3.74706 - 7.83762i) q^{76} +(7.20407 + 11.2098i) q^{77} +(4.09366 + 11.2770i) q^{78} +(-8.77113 + 2.57544i) q^{79} +(-1.52296 - 2.56348i) q^{80} +(-14.6911 + 16.9545i) q^{81} +(10.1748 - 2.11999i) q^{82} +(-3.77928 + 1.72594i) q^{83} +(7.84357 + 18.0054i) q^{84} +(-0.0601420 + 0.204825i) q^{85} +(-6.30110 + 0.395076i) q^{86} +(5.11419 - 11.1985i) q^{87} +(-11.4257 - 4.60798i) q^{88} +(-5.97167 - 3.83776i) q^{89} +(-6.20423 + 4.55996i) q^{90} -8.08475i q^{91} +(-7.98614 + 5.31240i) q^{92} -8.42026i q^{93} +(-7.22786 - 9.83414i) q^{94} +(-2.72390 - 1.75055i) q^{95} +(-15.5397 - 9.39352i) q^{96} +(-4.83469 + 10.5865i) q^{97} +(-0.208727 - 3.32901i) q^{98} +(-8.96292 + 30.5249i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 220 q - 11 q^{2} - 11 q^{4} - 14 q^{6} - 22 q^{7} - 14 q^{8} - 9 q^{10} - 12 q^{12} - 3 q^{14} - 22 q^{15} + 5 q^{16} - 18 q^{17} - 4 q^{18} - 27 q^{20} - 42 q^{22} - 16 q^{23} - 22 q^{24} - 4 q^{25} - 16 q^{26}+ \cdots + 109 q^{98}+O(q^{100}) \) 220 * q - 11 * q^2 - 11 * q^4 - 14 * q^6 - 22 * q^7 - 14 * q^8 - 9 * q^10 - 12 * q^12 - 3 * q^14 - 22 * q^15 + 5 * q^16 - 18 * q^17 - 4 * q^18 - 27 * q^20 - 42 * q^22 - 16 * q^23 - 22 * q^24 - 4 * q^25 - 16 * q^26 - 17 * q^28 - 37 * q^30 - 34 * q^31 - 11 * q^32 - 30 * q^33 - 23 * q^34 + 37 * q^36 - 78 * q^38 - 18 * q^39 + 99 * q^40 - 18 * q^41 - 77 * q^42 + 48 * q^44 - 99 * q^46 - 40 * q^47 + 116 * q^48 - 28 * q^49 - 60 * q^50 + 98 * q^52 - 114 * q^54 - 38 * q^55 + 66 * q^56 - 30 * q^57 - 51 * q^58 - 45 * q^60 + 18 * q^62 + 18 * q^63 - 14 * q^64 - 38 * q^65 - 12 * q^66 + 10 * q^68 - 38 * q^70 - 26 * q^71 + 55 * q^72 - 18 * q^73 + 10 * q^74 + 72 * q^76 + 42 * q^78 - 22 * q^79 + 66 * q^80 - 52 * q^81 + 64 * q^82 + 125 * q^84 + 121 * q^86 - 42 * q^87 + 17 * q^88 - 2 * q^89 + 204 * q^90 + 88 * q^92 + 105 * q^94 - 78 * q^95 + 157 * q^96 - 18 * q^97 + 109 * q^98

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

Related objects

Downloads

Learn more