LMFDB - Embedded newform 336.2.bo.a.5.16

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [336,2,Mod(5,336)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(336, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([0, 3, 6, 10]))

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

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

chi := DirichletCharacter("336.5");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 336 = 2^{4} \cdot 3 \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	336.bo (of order $12$, degree $4$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$2.68297350792$
Analytic rank:	$0$
Dimension:	$240$
Relative dimension:	$60$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			5.16
Character	$\chi$	$=$	336.5
Dual form			336.2.bo.a.269.16

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.902393 + 1.08889i) q^{2} +(-0.669822 + 1.59729i) q^{3} +(-0.371375 - 1.96522i) q^{4} +(3.29199 - 0.882085i) q^{5} +(-1.13484 - 2.17075i) q^{6} +(-2.31271 + 1.28506i) q^{7} +(2.47504 + 1.36901i) q^{8} +(-2.10268 - 2.13980i) q^{9} +O(q^{10})$	\(q+(-0.902393 + 1.08889i) q^{2} +(-0.669822 + 1.59729i) q^{3} +(-0.371375 - 1.96522i) q^{4} +(3.29199 - 0.882085i) q^{5} +(-1.13484 - 2.17075i) q^{6} +(-2.31271 + 1.28506i) q^{7} +(2.47504 + 1.36901i) q^{8} +(-2.10268 - 2.13980i) q^{9} +(-2.01017 + 4.38061i) q^{10} +(2.70922 + 0.725934i) q^{11} +(3.38778 + 0.723153i) q^{12} +(4.53845 + 4.53845i) q^{13} +(0.687681 - 3.67792i) q^{14} +(-0.796100 + 5.84910i) q^{15} +(-3.72416 + 1.45967i) q^{16} +(1.00283 + 1.73695i) q^{17} +(4.22745 - 0.358647i) q^{18} +(-3.09875 + 0.830307i) q^{19} +(-2.95605 - 6.14188i) q^{20} +(-0.503508 - 4.55483i) q^{21} +(-3.23525 + 2.29498i) q^{22} +(-0.855139 + 1.48114i) q^{23} +(-3.84454 + 3.03636i) q^{24} +(5.72897 - 3.30762i) q^{25} +(-9.03734 + 0.846421i) q^{26} +(4.82631 - 1.92530i) q^{27} +(3.38430 + 4.06774i) q^{28} +(-2.07878 - 2.07878i) q^{29} +(-5.65065 - 6.14505i) q^{30} +(-3.31731 + 1.91525i) q^{31} +(1.77124 - 5.37240i) q^{32} +(-2.97423 + 3.84117i) q^{33} +(-2.79630 - 0.475438i) q^{34} +(-6.47988 + 6.27040i) q^{35} +(-3.42430 + 4.92689i) q^{36} +(-4.20434 + 1.12655i) q^{37} +(1.89217 - 4.12347i) q^{38} +(-10.2892 + 4.20927i) q^{39} +(9.35537 + 2.32357i) q^{40} +8.67639i q^{41} +(5.41408 + 3.56198i) q^{42} +(4.52927 + 4.52927i) q^{43} +(0.420481 - 5.59381i) q^{44} +(-8.80947 - 5.18946i) q^{45} +(-0.841136 - 2.26773i) q^{46} +(5.17739 - 8.96750i) q^{47} +(0.163015 - 6.92629i) q^{48} +(3.69725 - 5.94393i) q^{49} +(-1.56813 + 9.22301i) q^{50} +(-3.44613 + 0.438361i) q^{51} +(7.23357 - 10.6045i) q^{52} +(-5.54861 - 1.48675i) q^{53} +(-2.25878 + 6.99270i) q^{54} +9.55907 q^{55} +(-7.48330 + 0.0144457i) q^{56} +(0.749369 - 5.50576i) q^{57} +(4.13944 - 0.387693i) q^{58} +(1.75857 - 6.56309i) q^{59} +(11.7904 - 0.607701i) q^{60} +(2.03278 - 0.544681i) q^{61} +(0.908015 - 5.34051i) q^{62} +(7.61265 + 2.24668i) q^{63} +(4.25162 + 6.77670i) q^{64} +(18.9438 + 10.9372i) q^{65} +(-1.49870 - 6.70486i) q^{66} +(-3.10476 - 0.831917i) q^{67} +(3.04106 - 2.61584i) q^{68} +(-1.79303 - 2.35801i) q^{69} +(-0.980402 - 12.7143i) q^{70} +12.8919 q^{71} +(-2.27479 - 8.17468i) q^{72} +(-0.0186751 - 0.0323462i) q^{73} +(2.56727 - 5.59466i) q^{74} +(1.44584 + 11.3664i) q^{75} +(2.78253 + 5.78136i) q^{76} +(-7.19852 + 1.80264i) q^{77} +(4.70143 - 15.0022i) q^{78} +(1.41020 - 2.44253i) q^{79} +(-10.9723 + 8.09023i) q^{80} +(-0.157508 + 8.99862i) q^{81} +(-9.44766 - 7.82951i) q^{82} +(5.54643 - 5.54643i) q^{83} +(-8.76424 + 2.68105i) q^{84} +(4.83344 + 4.83344i) q^{85} +(-9.01907 + 0.844710i) q^{86} +(4.71282 - 1.92800i) q^{87} +(5.71162 + 5.50567i) q^{88} +(2.36808 + 1.36721i) q^{89} +(13.6004 - 4.90964i) q^{90} +(-16.3283 - 4.66394i) q^{91} +(3.22835 + 1.13047i) q^{92} +(-0.837203 - 6.58159i) q^{93} +(5.09261 + 13.7298i) q^{94} +(-9.46864 + 5.46672i) q^{95} +(7.39488 + 6.42773i) q^{96} -2.90039i q^{97} +(3.13594 + 9.38967i) q^{98} +(-4.14326 - 7.32361i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 240 q - 6 q^{3} - 4 q^{4}+O(q^{10}) $ 240 * q - 6 * q^3 - 4 * q^4	$ 240 q - 6 q^{3} - 4 q^{4} - 12 q^{10} - 6 q^{12} - 16 q^{15} - 20 q^{16} - 4 q^{18} - 12 q^{19} + 2 q^{21} - 40 q^{22} - 6 q^{24} - 12 q^{28} + 22 q^{30} - 24 q^{31} - 12 q^{33} - 64 q^{36} - 4 q^{37} + 48 q^{40} - 18 q^{42} - 16 q^{43} - 6 q^{45} + 12 q^{46} - 16 q^{49} - 10 q^{51} - 48 q^{52} - 90 q^{54} - 4 q^{58} - 18 q^{60} - 12 q^{61} - 36 q^{63} + 32 q^{64} - 66 q^{66} - 36 q^{67} - 76 q^{70} - 46 q^{72} + 24 q^{75} - 76 q^{78} - 8 q^{79} - 4 q^{81} + 72 q^{82} - 24 q^{84} + 24 q^{85} + 12 q^{88} - 88 q^{91} - 14 q^{93} + 24 q^{94} + 96 q^{96} + 28 q^{99}+O(q^{100}) $ 240 * q - 6 * q^3 - 4 * q^4 - 12 * q^10 - 6 * q^12 - 16 * q^15 - 20 * q^16 - 4 * q^18 - 12 * q^19 + 2 * q^21 - 40 * q^22 - 6 * q^24 - 12 * q^28 + 22 * q^30 - 24 * q^31 - 12 * q^33 - 64 * q^36 - 4 * q^37 + 48 * q^40 - 18 * q^42 - 16 * q^43 - 6 * q^45 + 12 * q^46 - 16 * q^49 - 10 * q^51 - 48 * q^52 - 90 * q^54 - 4 * q^58 - 18 * q^60 - 12 * q^61 - 36 * q^63 + 32 * q^64 - 66 * q^66 - 36 * q^67 - 76 * q^70 - 46 * q^72 + 24 * q^75 - 76 * q^78 - 8 * q^79 - 4 * q^81 + 72 * q^82 - 24 * q^84 + 24 * q^85 + 12 * q^88 - 88 * q^91 - 14 * q^93 + 24 * q^94 + 96 * q^96 + 28 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/336\mathbb{Z}\right)^\times$.

$n$	$85$	$113$	$127$	$241$
$\chi(n)$	$e\left(\frac{1}{4}\right)$	$-1$	$1$	$e\left(\frac{5}{6}\right)$

Coefficient data

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

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

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

$2$	−0.902393	+	1.08889i	−0.638088	+	0.769964i
$2$	−0.902393	+	1.08889i	−0.638088	+	0.769964i
$3$	−0.669822	+	1.59729i	−0.386722	+	0.922196i
$3$	−0.669822	+	1.59729i	−0.386722	+	0.922196i
$4$	−0.371375	−	1.96522i	−0.185688	−	0.982609i
$5$	3.29199	−	0.882085i	1.47222	−	0.394480i	0.568529	−	0.822663i	$-0.307513\pi$
$5$	3.29199	−	0.882085i	1.47222	−	0.394480i	0.903692	+	0.428183i	$0.140846\pi$
$6$	−1.13484	−	2.17075i	−0.463295	−	0.886204i
$7$	−2.31271	+	1.28506i	−0.874122	+	0.485706i
$7$	−2.31271	+	1.28506i	−0.874122	+	0.485706i
$8$	2.47504	+	1.36901i	0.875058	+	0.484018i
$9$	−2.10268	−	2.13980i	−0.700892	−	0.713267i
$10$	−2.01017	+	4.38061i	−0.635671	+	1.38527i
$11$	2.70922	+	0.725934i	0.816862	+	0.218877i	0.642974	−	0.765888i	$-0.277700\pi$
$11$	2.70922	+	0.725934i	0.816862	+	0.218877i	0.173888	+	0.984765i	$0.444367\pi$
$12$	3.38778	+	0.723153i	0.977968	+	0.208756i
$13$	4.53845	+	4.53845i	1.25874	+	1.25874i	0.951696	+	0.307043i	$0.0993396\pi$
$13$	4.53845	+	4.53845i	1.25874	+	1.25874i	0.307043	+	0.951696i	$0.400660\pi$
$14$	0.687681	−	3.67792i	0.183790	−	0.982965i
$15$	−0.796100	+	5.84910i	−0.205552	+	1.51023i
$16$	−3.72416	+	1.45967i	−0.931040	+	0.364917i
$17$	1.00283	+	1.73695i	0.243222	+	0.421272i	0.961630	−	0.274349i	$-0.0884624\pi$
$17$	1.00283	+	1.73695i	0.243222	+	0.421272i	−0.718408	+	0.695622i	$0.755129\pi$
$18$	4.22745	−	0.358647i	0.996421	−	0.0845339i
$19$	−3.09875	+	0.830307i	−0.710902	+	0.190486i	−0.596109	−	0.802904i	$-0.703287\pi$
$19$	−3.09875	+	0.830307i	−0.710902	+	0.190486i	−0.114793	+	0.993389i	$0.536621\pi$
$20$	−2.95605	−	6.14188i	−0.660993	−	1.37337i
$21$	−0.503508	−	4.55483i	−0.109874	−	0.993945i
$22$	−3.23525	+	2.29498i	−0.689757	+	0.489291i
$23$	−0.855139	+	1.48114i	−0.178309	+	0.308840i	−0.941301	−	0.337567i	$-0.890396\pi$
$23$	−0.855139	+	1.48114i	−0.178309	+	0.308840i	0.762993	+	0.646407i	$0.223729\pi$
$24$	−3.84454	+	3.03636i	−0.784764	+	0.619795i
$25$	5.72897	−	3.30762i	1.14579	−	0.661525i
$26$	−9.03734	+	0.846421i	−1.77237	+	0.165997i
$27$	4.82631	−	1.92530i	0.928823	−	0.370524i
$28$	3.38430	+	4.06774i	0.639573	+	0.768730i
$29$	−2.07878	−	2.07878i	−0.386019	−	0.386019i	0.487246	−	0.873265i	$-0.338002\pi$
$29$	−2.07878	−	2.07878i	−0.386019	−	0.386019i	−0.873265	+	0.487246i	$0.838002\pi$
$30$	−5.65065	−	6.14505i	−1.03166	−	1.12193i
$31$	−3.31731	+	1.91525i	−0.595807	+	0.343989i	−0.767390	−	0.641180i	$-0.778445\pi$
$31$	−3.31731	+	1.91525i	−0.595807	+	0.343989i	0.171583	+	0.985170i	$0.445112\pi$
$32$	1.77124	−	5.37240i	0.313113	−	0.949716i
$33$	−2.97423	+	3.84117i	−0.517747	+	0.668662i
$34$	−2.79630	−	0.475438i	−0.479561	−	0.0815370i
$35$	−6.47988	+	6.27040i	−1.09530	+	1.05989i
$36$	−3.42430	+	4.92689i	−0.570716	+	0.821148i
$37$	−4.20434	+	1.12655i	−0.691189	+	0.185203i	−0.587281	−	0.809383i	$-0.699801\pi$
$37$	−4.20434	+	1.12655i	−0.691189	+	0.185203i	−0.103908	+	0.994587i	$0.533135\pi$
$38$	1.89217	−	4.12347i	0.306951	−	0.668915i
$39$	−10.2892	+	4.20927i	−1.64759	+	0.674022i
$40$	9.35537	+	2.32357i	1.47921	+	0.367388i
$41$			8.67639i			1.35502i	0.735512	+	0.677512i	$0.236942\pi$
$41$			8.67639i			1.35502i	−0.735512	+	0.677512i	$0.763058\pi$
$42$	5.41408	+	3.56198i	0.835411	+	0.549625i
$43$	4.52927	+	4.52927i	0.690707	+	0.690707i	0.962388	−	0.271680i	$-0.0875794\pi$
$43$	4.52927	+	4.52927i	0.690707	+	0.690707i	−0.271680	+	0.962388i	$0.587579\pi$
$44$	0.420481	−	5.59381i	0.0633898	−	0.843299i
$45$	−8.80947	−	5.18946i	−1.31324	−	0.773599i
$46$	−0.841136	−	2.26773i	−0.124019	−	0.334358i
$47$	5.17739	−	8.96750i	0.755200	−	1.30804i	−0.190075	−	0.981770i	$-0.560873\pi$
$47$	5.17739	−	8.96750i	0.755200	−	1.30804i	0.945275	−	0.326275i	$-0.105794\pi$
$48$	0.163015	−	6.92629i	0.0235292	−	0.999723i
$49$	3.69725	−	5.94393i	0.528178	−	0.849133i
$50$	−1.56813	+	9.22301i	−0.221768	+	1.30433i
$51$	−3.44613	+	0.438361i	−0.482555	+	0.0613828i
$52$	7.23357	−	10.6045i	1.00312	−	1.47058i
$53$	−5.54861	−	1.48675i	−0.762161	−	0.204220i	−0.143255	−	0.989686i	$-0.545757\pi$
$53$	−5.54861	−	1.48675i	−0.762161	−	0.204220i	−0.618905	+	0.785465i	$0.712424\pi$
$54$	−2.25878	+	6.99270i	−0.307381	+	0.951587i
$55$	9.55907			1.28894
$56$	−7.48330	+	0.0144457i	−0.999998	+	0.00193039i
$57$	0.749369	−	5.50576i	0.0992564	−	0.729256i
$58$	4.13944	−	0.387693i	0.543535	−	0.0509065i
$59$	1.75857	−	6.56309i	0.228947	−	0.854441i	−0.751838	−	0.659348i	$-0.770832\pi$
$59$	1.75857	−	6.56309i	0.228947	−	0.854441i	0.980785	−	0.195093i	$-0.0625010\pi$
$60$	11.7904	−	0.607701i	1.52213	−	0.0784539i
$61$	2.03278	−	0.544681i	0.260271	−	0.0697393i	−0.126324	−	0.991989i	$-0.540318\pi$
$61$	2.03278	−	0.544681i	0.260271	−	0.0697393i	0.386595	+	0.922250i	$0.373651\pi$
$62$	0.908015	−	5.34051i	0.115318	−	0.678245i
$63$	7.61265	+	2.24668i	0.959104	+	0.283055i
$64$	4.25162	+	6.77670i	0.531453	+	0.847088i
$65$	18.9438	+	10.9372i	2.34969	+	1.35659i
$66$	−1.49870	−	6.70486i	−0.184478	−	0.825311i
$67$	−3.10476	−	0.831917i	−0.379306	−	0.101635i	0.0641280	−	0.997942i	$-0.479573\pi$
$67$	−3.10476	−	0.831917i	−0.379306	−	0.101635i	−0.443434	+	0.896307i	$0.646240\pi$
$68$	3.04106	−	2.61584i	0.368783	−	0.317217i
$69$	−1.79303	−	2.35801i	−0.215855	−	0.283871i
$70$	−0.980402	−	12.7143i	−0.117181	−	1.51964i
$71$	12.8919			1.52999			0.764995	−	0.644037i	$-0.222742\pi$
$71$	12.8919			1.52999			0.764995	+	0.644037i	$0.222742\pi$
$72$	−2.27479	−	8.17468i	−0.268087	−	0.963395i
$73$	−0.0186751	−	0.0323462i	−0.00218575	−	0.00378583i	0.864930	−	0.501892i	$-0.167362\pi$
$73$	−0.0186751	−	0.0323462i	−0.00218575	−	0.00378583i	−0.867116	+	0.498106i	$0.834029\pi$
$74$	2.56727	−	5.59466i	0.298439	−	0.650366i
$75$	1.44584	+	11.3664i	0.166952	+	1.31247i
$76$	2.78253	+	5.78136i	0.319178	+	0.663167i
$77$	−7.19852	+	1.80264i	−0.820347	+	0.205429i
$78$	4.70143	−	15.0022i	0.532333	−	1.69867i
$79$	1.41020	−	2.44253i	0.158660	−	0.274806i	−0.775726	−	0.631070i	$-0.782616\pi$
$79$	1.41020	−	2.44253i	0.158660	−	0.274806i	0.934386	+	0.356263i	$0.115949\pi$
$80$	−10.9723	+	8.09023i	−1.22674	+	0.904515i
$81$	−0.157508	+	8.99862i	−0.0175009	+	0.999847i
$82$	−9.44766	−	7.82951i	−1.04332	−	0.864624i
$83$	5.54643	−	5.54643i	0.608800	−	0.608800i	−0.333833	−	0.942632i	$-0.608342\pi$
$83$	5.54643	−	5.54643i	0.608800	−	0.608800i	0.942632	+	0.333833i	$0.108342\pi$
$84$	−8.76424	+	2.68105i	−0.956257	+	0.292527i
$85$	4.83344	+	4.83344i	0.524260	+	0.524260i
$86$	−9.01907	+	0.844710i	−0.972551	+	0.0910874i
$87$	4.71282	−	1.92800i	0.505268	−	0.206703i
$88$	5.71162	+	5.50567i	0.608861	+	0.586906i
$89$	2.36808	+	1.36721i	0.251016	+	0.144924i	0.620229	−	0.784421i	$-0.287040\pi$
$89$	2.36808	+	1.36721i	0.251016	+	0.144924i	−0.369214	+	0.929345i	$0.620373\pi$
$90$	13.6004	−	4.90964i	1.43360	−	0.517521i
$91$	−16.3283	−	4.66394i	−1.71167	−	0.488914i
$92$	3.22835	+	1.13047i	0.336579	+	0.117860i
$93$	−0.837203	−	6.58159i	−0.0868139	−	0.682480i
$94$	5.09261	+	13.7298i	0.525263	+	1.41612i
$95$	−9.46864	+	5.46672i	−0.971462	+	0.560874i
$96$	7.39488	+	6.42773i	0.754737	+	0.656028i
$97$		−	2.90039i		−	0.294490i	−0.989100	−	0.147245i	$-0.952959\pi$
$97$		−	2.90039i		−	0.294490i	0.989100	−	0.147245i	$-0.0470407\pi$
$98$	3.13594	+	9.38967i	0.316777	+	0.948500i
$99$	−4.14326	−	7.32361i	−0.416414	−	0.736050i
$100$	−8.62780	−	10.0303i	−0.862780	−	1.00303i
$101$	4.44041	−	16.5718i	0.441837	−	1.64896i	−0.282317	−	0.959321i	$-0.591103\pi$
$101$	4.44041	−	16.5718i	0.441837	−	1.64896i	0.724154	−	0.689638i	$-0.242230\pi$
$102$	2.63244	−	4.14804i	0.260650	−	0.410717i
$103$	−0.167609	+	0.290308i	−0.0165150	+	0.0286049i	−0.874165	−	0.485629i	$-0.838590\pi$
$103$	−0.167609	+	0.290308i	−0.0165150	+	0.0286049i	0.857650	+	0.514234i	$0.171924\pi$
$104$	5.01965	+	17.4460i	0.492217	+	1.71072i
$105$	−5.67529	−	14.5503i	−0.553851	−	1.41996i
$106$	6.62594	−	4.70022i	0.643568	−	0.456525i
$107$	4.85598	+	18.1228i	0.469445	+	1.75199i	0.641715	+	0.766944i	$0.278223\pi$
$107$	4.85598	+	18.1228i	0.469445	+	1.75199i	−0.172269	+	0.985050i	$0.555110\pi$
$108$	−5.57600	−	8.76973i	−0.536551	−	0.843868i
$109$	−8.77706	−	2.35180i	−0.840689	−	0.225262i	−0.187318	−	0.982299i	$-0.559979\pi$
$109$	−8.77706	−	2.35180i	−0.840689	−	0.225262i	−0.653372	+	0.757037i	$0.726646\pi$
$110$	−8.62603	+	10.4088i	−0.822460	+	0.992440i
$111$	1.01673	−	7.47014i	0.0965040	−	0.709034i
$112$	6.73715	−	8.16155i	0.636600	−	0.771194i
$113$		−	0.668582i		−	0.0628949i	−0.999505	−	0.0314475i	$-0.989988\pi$
$113$		−	0.668582i		−	0.0628949i	0.999505	−	0.0314475i	$-0.0100117\pi$
$114$	5.31896	+	5.78434i	0.498166	+	0.541753i
$115$	−1.50861	+	5.63021i	−0.140679	+	0.525020i
$116$	−3.31324	+	4.85726i	−0.307627	+	0.450985i
$117$	0.168496	−	19.2543i	0.0155775	−	1.78006i
$118$	5.55958	+	7.83738i	0.511800	+	0.721489i
$119$	−4.55133	−	2.72837i	−0.417220	−	0.250109i
$120$	−9.97785	+	13.3869i	−0.910849	+	1.22205i
$121$	−2.71336	−	1.56656i	−0.246669	−	0.142415i
$122$	−1.24126	+	2.70499i	−0.112379	+	0.244899i
$123$	−13.8587	−	5.81164i	−1.24960	−	0.524018i
$124$	4.99586	+	5.80797i	0.448641	+	0.521571i
$125$	3.89258	−	3.89258i	0.348163	−	0.348163i
$126$	−9.31599	+	6.26197i	−0.829934	+	0.557861i
$127$	−0.163600			−0.0145171			−0.00725856	−	0.999974i	$-0.502310\pi$
$127$	−0.163600			−0.0145171			−0.00725856	+	0.999974i	$0.502310\pi$
$128$	−11.2157	−	1.48569i	−0.991340	−	0.131317i
$129$	−10.2684	+	4.20075i	−0.904079	+	0.369856i
$130$	−29.0042	+	10.7581i	−2.54384	+	0.943549i
$131$	−4.16386	−	15.5397i	−0.363798	−	1.35771i	−0.869043	−	0.494737i	$-0.835265\pi$
$131$	−4.16386	−	15.5397i	−0.363798	−	1.35771i	0.505245	−	0.862976i	$-0.331402\pi$
$132$	8.65329	+	4.41849i	0.753173	+	0.384580i
$133$	6.09951	−	5.90233i	0.528895	−	0.511797i
$134$	3.70758	−	2.63003i	0.320286	−	0.227200i
$135$	14.1899	−	10.5953i	1.22127	−	0.911895i
$136$	0.104136	+	5.67190i	0.00892962	+	0.486361i
$137$	−0.568814	−	0.985215i	−0.0485971	−	0.0841726i	0.840704	−	0.541496i	$-0.182142\pi$
$137$	−0.568814	−	0.985215i	−0.0485971	−	0.0841726i	−0.889301	+	0.457323i	$0.848808\pi$
$138$	4.18563	+	0.175436i	0.356305	+	0.0149341i
$139$	−4.36312	+	4.36312i	−0.370075	+	0.370075i	−0.867504	−	0.497430i	$-0.834277\pi$
$139$	−4.36312	+	4.36312i	−0.370075	+	0.370075i	0.497430	+	0.867504i	$0.334277\pi$
$140$	14.7292	+	10.4057i	1.24484	+	0.879442i
$141$	10.8558	+	14.2764i	0.914221	+	1.20229i
$142$	−11.6336	+	14.0379i	−0.976268	+	1.17804i
$143$	9.00106	+	15.5903i	0.752706	+	1.30373i
$144$	10.9541	+	4.89976i	0.912842	+	0.408314i
$145$	−8.67697	−	5.00965i	−0.720583	−	0.416029i
$146$	0.0520737	+	0.00885379i	0.00430965	+	0.000732745i
$147$	7.01769	+	9.88696i	0.578809	+	0.815463i
$148$	3.77530	+	7.84406i	0.310328	+	0.644778i
$149$	−3.99255	−	14.9004i	−0.327083	−	1.22069i	−0.912202	−	0.409741i	$-0.865619\pi$
$149$	−3.99255	−	14.9004i	−0.327083	−	1.22069i	0.585119	−	0.810947i	$-0.301048\pi$
$150$	−13.6815	−	8.68255i	−1.11709	−	0.708927i
$151$	2.15856	−	1.24625i	0.175661	−	0.101418i	−0.409591	−	0.912269i	$-0.634329\pi$
$151$	2.15856	−	1.24625i	0.175661	−	0.101418i	0.585253	+	0.810851i	$0.300995\pi$
$152$	−8.80622	−	2.18718i	−0.714279	−	0.177403i
$153$	1.60811	−	5.79810i	0.130008	−	0.468749i
$154$	4.53301	−	9.46510i	0.365280	−	0.762719i
$155$	−9.23114	+	9.23114i	−0.741463	+	0.741463i
$156$	12.0933	+	18.6572i	0.968236	+	1.49378i
$157$	6.08076	−	22.6937i	0.485297	−	1.81115i	−0.0934214	−	0.995627i	$-0.529780\pi$
$157$	6.08076	−	22.6937i	0.485297	−	1.81115i	0.578719	−	0.815527i	$-0.303553\pi$
$158$	1.38710	+	3.73968i	0.110352	+	0.297513i
$159$	6.09135	−	7.86689i	0.483076	−	0.623885i
$160$	1.09196	−	19.2483i	0.0863274	−	1.52171i
$161$	0.0743310	−	4.52436i	0.00585810	−	0.356569i
$162$	−9.65640	−	8.29180i	−0.758678	−	0.651465i
$163$	−2.06960	−	7.72387i	−0.162104	−	0.604980i	−0.998392	−	0.0566896i	$-0.981945\pi$
$163$	−2.06960	−	7.72387i	−0.162104	−	0.604980i	0.836288	−	0.548291i	$-0.184721\pi$
$164$	17.0510	−	3.22219i	1.33146	−	0.251611i
$165$	−6.40288	+	15.2686i	−0.498463	+	1.18866i
$166$	1.03441	+	11.0445i	0.0802858	+	0.857221i
$167$		−	21.7509i		−	1.68314i	−0.540151	−	0.841568i	$-0.681633\pi$
$167$		−	21.7509i		−	1.68314i	0.540151	−	0.841568i	$-0.318367\pi$
$168$	4.98941	−	11.9627i	0.384941	−	0.922941i
$169$			28.1950i			2.16885i
$170$	−9.62475	+	0.901437i	−0.738185	+	0.0691371i
$171$	8.29236	+	4.88484i	0.634132	+	0.373553i
$172$	7.21894	−	10.5831i	0.550439	−	0.806951i
$173$	−3.39003	−	12.6518i	−0.257739	−	0.961896i	−0.966546	−	0.256493i	$-0.917433\pi$
$173$	−3.39003	−	12.6518i	−0.257739	−	0.961896i	0.708807	−	0.705403i	$-0.249234\pi$
$174$	−2.15343	+	6.87157i	−0.163251	+	0.520933i
$175$	−8.99896	+	15.0116i	−0.680257	+	1.13477i
$176$	−11.1492	+	1.25107i	−0.840403	+	0.0943027i
$177$	9.30523	+	7.20506i	0.699424	+	0.541565i
$178$	−3.62568	+	1.34482i	−0.271756	+	0.100799i
$179$	−0.516590	+	1.92794i	−0.0386117	+	0.144101i	−0.982541	−	0.186048i	$-0.940432\pi$
$179$	−0.516590	+	1.92794i	−0.0386117	+	0.144101i	0.943929	+	0.330149i	$0.107099\pi$
$180$	−6.92680	+	19.2398i	−0.516293	+	1.43405i
$181$	−6.81787	+	6.81787i	−0.506768	+	0.506768i	−0.913533	−	0.406765i	$-0.866657\pi$
$181$	−6.81787	+	6.81787i	−0.506768	+	0.506768i	0.406765	+	0.913533i	$0.366657\pi$
$182$	19.8130	−	13.5710i	1.46864	−	1.00595i
$183$	−0.491586	+	3.61178i	−0.0363391	+	0.266990i
$184$	−4.14420	+	2.49519i	−0.305515	+	0.183948i
$185$	−12.8469	+	7.41716i	−0.944523	+	0.545321i
$186$	7.92214	+	5.02756i	0.580879	+	0.368638i
$187$	1.45598	+	5.43378i	0.106472	+	0.397357i
$188$	−19.5458	−	6.84439i	−1.42553	−	0.499178i
$189$	−8.68772	+	10.6547i	−0.631939	+	0.775018i
$190$	2.59176	−	15.2435i	0.188026	−	1.10588i
$191$	−12.5792	−	7.26260i	−0.910198	−	0.525503i	−0.0297031	−	0.999559i	$-0.509456\pi$
$191$	−12.5792	−	7.26260i	−0.910198	−	0.525503i	−0.880495	+	0.474056i	$0.842790\pi$
$192$	−13.6722	+	2.25189i	−0.986706	+	0.162516i
$193$	11.9914	+	20.7697i	0.863160	+	1.49504i	0.868863	+	0.495053i	$0.164851\pi$
$193$	11.9914	+	20.7697i	0.863160	+	1.49504i	−0.00570281	+	0.999984i	$0.501815\pi$
$194$	3.15822	+	2.61729i	0.226747	+	0.187911i
$195$	−30.1589	+	22.9328i	−2.15972	+	1.64225i
$196$	−13.0542	−	5.05847i	−0.932442	−	0.361319i
$197$	−4.27742	+	4.27742i	−0.304754	+	0.304754i	−0.842870	−	0.538117i	$-0.819136\pi$
$197$	−4.27742	+	4.27742i	−0.304754	+	0.304754i	0.538117	+	0.842870i	$0.319136\pi$
$198$	11.7135	+	2.09720i	0.832441	+	0.149042i
$199$	−9.49769	−	16.4505i	−0.673274	−	1.16614i	−0.976970	−	0.213375i	$-0.931554\pi$
$199$	−9.49769	−	16.4505i	−0.673274	−	1.16614i	0.303697	−	0.952769i	$-0.401779\pi$
$200$	18.7076	−	0.343472i	1.32283	−	0.0242871i
$201$	3.40845	−	4.40196i	0.240413	−	0.310491i
$202$	14.0380	+	19.7894i	0.987707	+	1.39238i
$203$	7.47896	+	2.13626i	0.524920	+	0.149936i
$204$	2.14128	+	6.60960i	0.149920	+	0.462765i
$205$	7.65331	+	28.5625i	0.534530	+	1.99489i
$206$	−0.164865	−	0.444480i	−0.0114867	−	0.0309684i
$207$	4.96744	−	1.28454i	0.345261	−	0.0892815i
$208$	−23.5265	−	10.2773i	−1.63127	−	0.712602i
$209$	−8.99795			−0.622402
$210$	20.9651	+	6.95030i	1.44673	+	0.479617i
$211$	−0.836426	+	0.836426i	−0.0575819	+	0.0575819i	−0.735311	−	0.677729i	$-0.762964\pi$
$211$	−0.836426	+	0.836426i	−0.0575819	+	0.0575819i	0.677729	+	0.735311i	$0.262964\pi$
$212$	−0.861163	+	11.4564i	−0.0591449	+	0.786827i
$213$	−8.63530	+	20.5921i	−0.591681	+	1.41095i
$214$	−24.1157	−	11.0662i	−1.64852	−	0.756470i
$215$	18.9055	+	10.9151i	1.28934	+	0.744403i
$216$	14.5810	+	1.84208i	0.992114	+	0.125338i
$217$	5.21077	−	8.69236i	0.353730	−	0.590076i
$218$	10.4812	−	7.43502i	0.709877	−	0.503563i
$219$	0.0641752	−	0.00816333i	0.00433656	−	0.000551627i
$220$	−3.55000	−	18.7856i	−0.239341	−	1.26653i
$221$	−3.33177	+	12.4343i	−0.224119	+	0.836424i
$222$	7.21669	+	7.84811i	0.484352	+	0.526731i
$223$		−	16.6515i		−	1.11506i	−0.830155	−	0.557532i	$-0.811748\pi$
$223$		−	16.6515i		−	1.11506i	0.830155	−	0.557532i	$-0.188252\pi$
$224$	2.80750	+	14.7010i	0.187584	+	0.982249i
$225$	−19.1238	−	5.30401i	−1.27492	−	0.353600i
$226$	0.728014	+	0.603324i	0.0484268	+	0.0401325i
$227$	4.44054	+	1.18984i	0.294729	+	0.0789724i	0.403154	−	0.915132i	$-0.367914\pi$
$227$	4.44054	+	1.18984i	0.294729	+	0.0789724i	−0.108425	+	0.994105i	$0.534581\pi$
$228$	−11.0983	+	0.572029i	−0.735004	+	0.0378836i
$229$	4.36609	+	16.2945i	0.288519	+	1.07677i	0.946229	+	0.323497i	$0.104859\pi$
$229$	4.36609	+	16.2945i	0.288519	+	1.07677i	−0.657710	+	0.753271i	$0.728475\pi$
$230$	−4.76934	−	6.72338i	−0.314481	−	0.443326i
$231$	1.94239	−	12.7056i	0.127800	−	0.835965i
$232$	−2.29919	−	7.99092i	−0.150949	−	0.524630i
$233$	1.10118	−	1.90731i	0.0721410	−	0.124952i	−0.827698	−	0.561173i	$-0.810350\pi$
$233$	1.10118	−	1.90731i	0.0721410	−	0.124952i	0.899839	+	0.436221i	$0.143684\pi$
$234$	20.8138	+	17.5584i	1.36064	+	1.14783i
$235$	9.13380	−	34.0878i	0.595823	−	2.22364i
$236$	−13.5510	−	1.01861i	−0.882094	−	0.0663061i
$237$	2.95685	+	3.88856i	0.192068	+	0.252589i
$238$	7.07799	−	2.49386i	0.458798	−	0.161653i
$239$		−	7.87372i		−	0.509308i	−0.967032	−	0.254654i	$-0.918038\pi$
$239$		−	7.87372i		−	0.509308i	0.967032	−	0.254654i	$-0.0819616\pi$
$240$	−5.57293	−	22.9450i	−0.359731	−	1.48110i
$241$	16.1012	−	9.29604i	1.03717	−	0.598811i	0.118140	−	0.992997i	$-0.462307\pi$
$241$	16.1012	−	9.29604i	1.03717	−	0.598811i	0.919031	+	0.394186i	$0.128973\pi$
$242$	4.15434	−	1.54091i	0.267051	−	0.0990534i
$243$	−14.2679	−	6.27906i	−0.915287	−	0.402802i
$244$	−1.82534	−	3.79257i	−0.116855	−	0.242794i
$245$	6.92824	−	22.8286i	0.442629	−	1.45847i
$246$	18.8343	−	9.84627i	1.20083	−	0.627775i
$247$	−17.8318	−	10.2952i	−1.13461	−	0.655068i
$248$	−10.8325	+	0.198885i	−0.687863	+	0.0126292i
$249$	5.14414	+	12.5744i	0.325997	+	0.796869i
$250$	0.725968	+	7.75125i	0.0459142	+	0.490232i
$251$	−1.66865	−	1.66865i	−0.105324	−	0.105324i	0.652481	−	0.757805i	$-0.273728\pi$
$251$	−1.66865	−	1.66865i	−0.105324	−	0.105324i	−0.757805	+	0.652481i	$0.773728\pi$
$252$	1.58806	−	15.7949i	0.100039	−	0.994984i
$253$	−3.39198	+	3.39198i	−0.213252	+	0.213252i
$254$	0.147631	−	0.178142i	0.00926320	−	0.0111777i
$255$	−10.9579	+	4.48286i	−0.686213	+	0.280728i
$256$	11.7387	−	10.8721i	0.733672	−	0.679504i
$257$	−0.169419	+	0.293443i	−0.0105681	+	0.0183045i	−0.871261	−	0.490820i	$-0.836697\pi$
$257$	−0.169419	+	0.293443i	−0.0105681	+	0.0183045i	0.860693	+	0.509124i	$0.170031\pi$
$258$	4.69193	−	14.9719i	0.292107	−	0.932109i
$259$	8.27573	−	8.00820i	0.514229	−	0.497605i
$260$	14.4587	−	41.2905i	0.896693	−	2.56073i
$261$	−0.0771776	+	8.81917i	−0.00477717	+	0.545893i
$262$	20.6785	+	9.48894i	1.27752	+	0.586229i
$263$	10.8012	+	18.7081i	0.666028	+	1.15359i	0.979006	+	0.203833i	$0.0653401\pi$
$263$	10.8012	+	18.7081i	0.666028	+	1.15359i	−0.312978	+	0.949760i	$0.601327\pi$
$264$	−12.6199	+	5.43530i	−0.776703	+	0.334519i
$265$	−19.5774			−1.20263
$266$	0.922853	+	11.9679i	0.0565838	+	0.733801i
$267$	−3.77002	+	2.86672i	−0.230722	+	0.175440i
$268$	−0.481868	+	6.41048i	−0.0294348	+	0.391582i
$269$	29.8955	+	8.01046i	1.82276	+	0.488407i	0.997123	−	0.0757976i	$-0.0241503\pi$
$269$	29.8955	+	8.01046i	1.82276	+	0.488407i	0.825635	+	0.564204i	$0.190817\pi$
$270$	−1.26771	+	25.0123i	−0.0771506	+	1.52220i
$271$	4.95578	+	2.86122i	0.301042	+	0.173807i	0.642911	−	0.765941i	$-0.277726\pi$
$271$	4.95578	+	2.86122i	0.301042	+	0.173807i	−0.341869	+	0.939748i	$0.611060\pi$
$272$	−6.27006	−	5.00489i	−0.380178	−	0.303466i
$273$	18.3867	−	22.9570i	1.11281	−	1.38942i
$274$	1.58609	+	0.269673i	0.0958190	+	0.0162915i
$275$	17.9222	−	4.80224i	1.08075	−	0.289586i
$276$	−3.96812	+	4.39939i	−0.238852	+	0.264812i
$277$	2.93902	−	10.9686i	0.176588	−	0.659037i	−0.819687	−	0.572811i	$-0.805853\pi$
$277$	2.93902	−	10.9686i	0.176588	−	0.659037i	0.996276	−	0.0862254i	$-0.0274805\pi$
$278$	−0.813722	−	8.68821i	−0.0488038	−	0.521084i
$279$	11.0735	+	3.07124i	0.662953	+	0.183870i
$280$	−24.6222	+	6.64846i	−1.47146	+	0.397322i
$281$	−15.3960			−0.918448			−0.459224	−	0.888321i	$-0.651872\pi$
$281$	−15.3960			−0.918448			−0.459224	+	0.888321i	$0.651872\pi$
$282$	−25.3417	−	1.06217i	−1.50907	−	0.0632512i
$283$	−7.84008	−	2.10074i	−0.466044	−	0.124876i	0.0181526	−	0.999835i	$-0.494222\pi$
$283$	−7.84008	−	2.10074i	−0.466044	−	0.124876i	−0.484197	+	0.874959i	$0.660888\pi$
$284$	−4.78774	−	25.3354i	−0.284100	−	1.50338i
$285$	−2.38964	−	18.7859i	−0.141550	−	1.11278i
$286$	−25.0986	−	4.26737i	−1.48411	−	0.252335i
$287$	−11.1497	−	20.0660i	−0.658144	−	1.18446i
$288$	−15.2202	+	7.50633i	−0.896860	+	0.442315i
$289$	6.48867	−	11.2387i	0.381686	−	0.661100i
$290$	13.2850	−	4.92762i	0.780122	−	0.289360i
$291$	4.63277	+	1.94275i	0.271578	+	0.113886i
$292$	−0.0566318	+	0.0487131i	−0.00331413	+	0.00285072i
$293$	15.8827	+	15.8827i	0.927878	+	0.927878i	0.997569	−	0.0696911i	$-0.0222014\pi$
$293$	15.8827	+	15.8827i	0.927878	+	0.927878i	−0.0696911	+	0.997569i	$0.522201\pi$
$294$	−17.0986	−	1.28041i	−0.997208	−	0.0746749i
$295$		−	23.1568i		−	1.34824i
$296$	−11.9481	−	2.96753i	−0.694472	−	0.172484i
$297$	14.4732	−	1.71248i	0.839819	−	0.0993682i
$298$	19.8278	+	9.09855i	1.14859	+	0.527065i
$299$	−10.6031	+	2.84109i	−0.613193	+	0.164305i
$300$	21.8004	−	7.06258i	1.25865	−	0.407758i
$301$	−16.2953	−	4.65451i	−0.939243	−	0.268281i
$302$	−0.590842	+	3.47505i	−0.0339991	+	0.199966i
$303$	23.4958	+	18.1928i	1.34980	+	1.04515i
$304$	10.3283	−	7.61534i	0.592367	−	0.436769i
$305$	6.21142	−	3.58617i	0.355665	−	0.205343i
$306$	4.86236	+	6.98322i	0.277963	+	0.399204i
$307$	8.94432	+	8.94432i	0.510479	+	0.510479i	0.914673	−	0.404194i	$-0.132448\pi$
$307$	8.94432	+	8.94432i	0.510479	+	0.510479i	−0.404194	+	0.914673i	$0.632448\pi$
$308$	6.21592	+	13.4772i	0.354185	+	0.767935i
$309$	−0.351437	−	0.462175i	−0.0199926	−	0.0262922i
$310$	−1.72161	−	18.3818i	−0.0977808	−	1.04402i
$311$	−17.3250	+	10.0026i	−0.982412	+	0.567196i	−0.902998	−	0.429646i	$-0.858638\pi$
$311$	−17.3250	+	10.0026i	−0.982412	+	0.567196i	−0.0794146	+	0.996842i	$0.525305\pi$
$312$	−31.2286	−	3.66789i	−1.76797	−	0.207653i
$313$	−4.02341	+	6.96875i	−0.227417	+	0.393897i	−0.957042	−	0.289950i	$-0.906361\pi$
$313$	−4.02341	+	6.96875i	−0.227417	+	0.393897i	0.729625	+	0.683847i	$0.239695\pi$
$314$	19.2238	+	27.0999i	1.08486	+	1.52934i
$315$	27.0425	+	0.681033i	1.52367	+	0.0383719i
$316$	−5.32382	−	1.86425i	−0.299488	−	0.104872i
$317$	−19.9146	+	5.33610i	−1.11852	+	0.299705i	−0.770282	−	0.637703i	$-0.779885\pi$
$317$	−19.9146	+	5.33610i	−1.11852	+	0.299705i	−0.348233	+	0.937408i	$0.613218\pi$
$318$	3.06941	+	13.7319i	0.172124	+	0.770044i
$319$	−4.12282	−	7.14093i	−0.230834	−	0.399815i
$320$	19.9739	+	18.5585i	1.11658	+	1.03745i
$321$	−32.2000	−	4.38262i	−1.79723	−	0.244614i
$322$	4.85947	+	4.16369i	0.270808	+	0.232033i
$323$	−4.54972	−	4.54972i	−0.253153	−	0.253153i
$324$	17.7427	−	3.03233i	0.985708	−	0.168463i
$325$	41.0121	+	10.9892i	2.27494	+	0.609569i
$326$	10.2781	+	4.71639i	0.569249	+	0.261216i
$327$	9.63559	−	12.4442i	0.532849	−	0.688167i
$328$	−11.8781	+	21.4744i	−0.655856	+	1.18572i
$329$	−0.450033	+	27.3925i	−0.0248111	+	1.51020i
$330$	−10.8480	−	20.7503i	−0.597161	−	1.14227i
$331$	12.9717	−	3.47575i	0.712988	−	0.191045i	0.115947	−	0.993255i	$-0.463010\pi$
$331$	12.9717	−	3.47575i	0.712988	−	0.191045i	0.597041	+	0.802211i	$0.296343\pi$
$332$	−12.9597	−	8.84013i	−0.711259	−	0.485165i
$333$	11.2509	+	6.62768i	0.616548	+	0.363195i
$334$	23.6844	+	19.6279i	1.29595	+	1.07399i
$335$	−10.9546			−0.598516
$336$	8.52368	+	16.2280i	0.465005	+	0.885308i
$337$	−1.65822			−0.0903291			−0.0451646	−	0.998980i	$-0.514381\pi$
$337$	−1.65822			−0.0903291			−0.0451646	+	0.998980i	$0.514381\pi$
$338$	−30.7013	−	25.4430i	−1.66993	−	1.38391i
$339$	1.06792	+	0.447831i	0.0580015	+	0.0243229i
$340$	7.70374	−	11.2938i	0.417794	−	0.612491i
$341$	−10.3777	+	2.78070i	−0.561984	+	0.150583i
$342$	−12.8020	+	4.62144i	−0.692255	+	0.249899i
$343$	−0.912360	+	18.4978i	−0.0492628	+	0.998786i
$344$	5.00950	+	17.4107i	0.270094	+	0.938724i
$345$	−7.98258	−	6.18093i	−0.429768	−	0.332770i
$346$	16.8356	+	7.72548i	0.905085	+	0.415324i
$347$	−8.96682	−	2.40265i	−0.481364	−	0.128981i	0.00997366	−	0.999950i	$-0.496825\pi$
$347$	−8.96682	−	2.40265i	−0.481364	−	0.128981i	−0.491338	+	0.870969i	$0.663492\pi$
$348$	−5.53917	−	8.54571i	−0.296931	−	0.458098i
$349$	−7.34726	−	7.34726i	−0.393290	−	0.393290i	0.482568	−	0.875858i	$-0.339704\pi$
$349$	−7.34726	−	7.34726i	−0.393290	−	0.393290i	−0.875858	+	0.482568i	$0.839704\pi$
$350$	−8.22547	−	23.3453i	−0.439670	−	1.24786i
$351$	30.6418	+	13.1661i	1.63554	+	0.702753i
$352$	8.69869	−	13.2692i	0.463642	−	0.707253i
$353$	10.2706	+	17.7891i	0.546647	+	0.946821i	0.998501	+	0.0547287i	$0.0174294\pi$
$353$	10.2706	+	17.7891i	0.546647	+	0.946821i	−0.451854	+	0.892092i	$0.649237\pi$
$354$	−16.2425	+	3.63061i	−0.863279	+	0.192965i
$355$	42.4400	−	11.3718i	2.25248	−	0.603551i
$356$	1.80742	−	5.16153i	0.0957930	−	0.273561i
$357$	7.40658	−	5.44228i	0.391998	−	0.288036i
$358$	−1.63315	−	2.30227i	−0.0863148	−	0.121679i
$359$	−8.60731	+	14.9083i	−0.454277	+	0.786830i	−0.998646	−	0.0520153i	$-0.983436\pi$
$359$	−8.60731	+	14.9083i	−0.454277	+	0.786830i	0.544370	+	0.838845i	$0.316769\pi$
$360$	−14.6993	−	24.9044i	−0.774723	−	1.31258i
$361$	−7.54165	+	4.35417i	−0.396929	+	0.229167i
$362$	−1.27153	−	13.5763i	−0.0668304	−	0.713556i
$363$	4.31973	−	3.28471i	0.226727	−	0.172403i
$364$	−3.10174	+	33.8207i	−0.162575	+	1.77269i
$365$	−0.0900101	−	0.0900101i	−0.00471135	−	0.00471135i
$366$	−3.48924	−	3.79453i	−0.182385	−	0.198343i
$367$	−22.2690	+	12.8570i	−1.16243	+	0.671132i	−0.951886	−	0.306452i	$-0.900858\pi$
$367$	−22.2690	+	12.8570i	−1.16243	+	0.671132i	−0.210548	+	0.977584i	$0.567525\pi$
$368$	1.02270	−	6.76424i	0.0533119	−	0.352610i
$369$	18.5658	−	18.2436i	0.966494	−	0.949725i
$370$	3.51646	−	20.6821i	0.182812	−	1.07521i
$371$	14.7429	−	3.69188i	0.765413	−	0.191673i
$372$	−12.6233	+	4.08953i	−0.654490	+	0.212032i
$373$	−16.9844	+	4.55097i	−0.879421	+	0.235640i	−0.670157	−	0.742219i	$-0.733773\pi$
$373$	−16.9844	+	4.55097i	−0.879421	+	0.235640i	−0.209264	+	0.977859i	$0.567107\pi$
$374$	−7.23066	−	3.31800i	−0.373889	−	0.171570i
$375$	3.61025	+	8.82493i	0.186432	+	0.455717i
$376$	25.0908	−	15.1070i	1.29396	−	0.779084i
$377$		−	18.8688i		−	0.971795i
$378$	−3.76213	−	19.0748i	−0.193503	−	0.981100i
$379$	−4.92976	−	4.92976i	−0.253225	−	0.253225i	0.569067	−	0.822291i	$-0.307305\pi$
$379$	−4.92976	−	4.92976i	−0.253225	−	0.253225i	−0.822291	+	0.569067i	$0.807305\pi$
$380$	14.2597	+	16.5777i	0.731508	+	0.850419i
$381$	0.109583	−	0.261316i	0.00561409	−	0.0133876i
$382$	19.2596	−	7.14367i	0.985404	−	0.365502i
$383$	−8.53248	+	14.7787i	−0.435989	+	0.755156i	−0.997376	−	0.0723980i	$-0.976935\pi$
$383$	−8.53248	+	14.7787i	−0.435989	+	0.755156i	0.561386	+	0.827554i	$0.310268\pi$
$384$	9.88562	−	16.9196i	0.504474	−	0.863427i
$385$	−22.1073	+	12.2840i	−1.12669	+	0.626048i
$386$	−33.4369	−	5.68509i	−1.70190	−	0.289363i
$387$	0.168156	−	19.2153i	0.00854783	−	0.976770i
$388$	−5.69991	+	1.07713i	−0.289369	+	0.0546832i
$389$	−22.3954	−	6.00083i	−1.13549	−	0.304254i	−0.358355	−	0.933585i	$-0.616662\pi$
$389$	−22.3954	−	6.00083i	−1.13549	−	0.304254i	−0.777137	+	0.629331i	$0.783329\pi$
$390$	2.24382	−	53.5342i	0.113620	−	2.71081i
$391$	−3.43023			−0.173474
$392$	17.2881	−	9.64989i	0.873183	−	0.487393i
$393$	27.6105	+	3.75797i	1.39277	+	0.189564i
$394$	−0.797740	−	8.51757i	−0.0401896	−	0.429109i
$395$	2.48783	−	9.28470i	0.125176	−	0.467164i
$396$	−12.8538	+	10.8622i	−0.645927	+	0.545847i
$397$	−25.5598	+	6.84872i	−1.28281	+	0.343728i	−0.834925	−	0.550364i	$-0.814489\pi$
$397$	−25.5598	+	6.84872i	−1.28281	+	0.343728i	−0.447884	+	0.894092i	$0.647822\pi$
$398$	26.4835	+	4.50283i	1.32750	+	0.225706i
$399$	5.34215	+	13.6962i	0.267442	+	0.685668i
$400$	−16.5076	+	20.6805i	−0.825379	+	1.03403i
$401$	17.4150	+	10.0545i	0.869662	+	0.502100i	0.867236	−	0.497897i	$-0.165894\pi$
$401$	17.4150	+	10.0545i	0.869662	+	0.502100i	0.00242636	+	0.999997i	$0.499228\pi$
$402$	1.71751	+	7.68373i	0.0856614	+	0.383230i
$403$	−23.7477	−	6.36318i	−1.18296	−	0.316973i
$404$	−34.2163	−	2.57200i	−1.70233	−	0.127962i
$405$	7.41903	+	29.7623i	0.368655	+	1.47890i
$406$	−9.07511	+	6.21604i	−0.450390	+	0.308497i
$407$	−12.2083			−0.605143
$408$	−9.12943	−	3.63283i	−0.451974	−	0.179852i
$409$	10.7088	+	18.5481i	0.529514	+	0.917145i	0.999407	+	0.0344216i	$0.0109589\pi$
$409$	10.7088	+	18.5481i	0.529514	+	0.917145i	−0.469894	+	0.882723i	$0.655708\pi$
$410$	−38.0078	−	17.4410i	−1.87707	−	0.861349i
$411$	1.95468	−	0.248643i	0.0964172	−	0.0122646i
$412$	0.632763	+	0.221575i	0.0311740	+	0.0109162i
$413$	4.36688	+	17.4384i	0.214880	+	0.858087i
$414$	−3.08385	+	6.56816i	−0.151563	+	0.322808i
$415$	13.3663	−	23.1512i	0.656128	−	1.13645i
$416$	32.4210	−	16.3437i	1.58957	−	0.801317i
$417$	−4.04665	−	9.89168i	−0.198165	−	0.484398i
$418$	8.11969	−	9.79781i	0.397147	−	0.479226i
$419$	3.78223	−	3.78223i	0.184774	−	0.184774i	−0.608659	−	0.793432i	$-0.708292\pi$
$419$	3.78223	−	3.78223i	0.184774	−	0.184774i	0.793432	+	0.608659i	$0.208292\pi$
$420$	−26.4868	+	16.5568i	−1.29243	+	0.807889i
$421$	−21.5539	−	21.5539i	−1.05047	−	1.05047i	−0.998657	−	0.0518156i	$-0.983499\pi$
$421$	−21.5539	−	21.5539i	−1.05047	−	1.05047i	−0.0518156	−	0.998657i	$-0.516501\pi$
$422$	−0.155994	−	1.66556i	−0.00759365	−	0.0810783i
$423$	−30.0751	+	7.77716i	−1.46230	+	0.378138i
$424$	−11.6977	−	11.2759i	−0.568088	−	0.547604i
$425$	11.4904	+	6.63396i	0.557364	+	0.321794i
$426$	−14.6302	−	27.9851i	−0.708836	−	1.35588i
$427$	−4.00128	+	3.87193i	−0.193635	+	0.187376i
$428$	33.8118	−	16.2734i	1.63435	−	0.786604i
$429$	−30.9313	+	3.93458i	−1.49338	+	0.189963i
$430$	−28.9455	+	10.7364i	−1.39588	+	0.517753i
$431$	−9.70531	+	5.60337i	−0.467488	+	0.269905i	−0.715188	−	0.698932i	$-0.753659\pi$
$431$	−9.70531	+	5.60337i	−0.467488	+	0.269905i	0.247699	+	0.968837i	$0.420326\pi$
$432$	−15.1636	+	14.2149i	−0.729561	+	0.683915i
$433$			36.0374i			1.73185i	0.500178	+	0.865923i	$0.333268\pi$
$433$			36.0374i			1.73185i	−0.500178	+	0.865923i	$0.666732\pi$
$434$	4.76289	+	13.5179i	0.228626	+	0.648880i
$435$	13.8139	−	10.5041i	0.662325	−	0.503631i
$436$	−1.36223	+	18.1222i	−0.0652389	+	0.867897i
$437$	1.42006	−	5.29972i	0.0679305	−	0.253520i
$438$	−0.0490222	+	0.0772464i	−0.00234237	+	0.00369098i
$439$	−1.66600	+	2.88560i	−0.0795139	+	0.137722i	−0.903040	−	0.429556i	$-0.858670\pi$
$439$	−1.66600	+	2.88560i	−0.0795139	+	0.137722i	0.823526	+	0.567278i	$0.192003\pi$
$440$	23.6590	+	13.0865i	1.12790	+	0.623872i
$441$	−20.4930	+	4.58678i	−0.975855	+	0.218418i
$442$	−10.5331	−	14.8486i	−0.501008	−	0.706276i
$443$	−2.03947	−	7.61140i	−0.0968981	−	0.361629i	0.900402	−	0.435058i	$-0.143272\pi$
$443$	−2.03947	−	7.61140i	−0.0968981	−	0.361629i	−0.997300	+	0.0734297i	$0.976606\pi$
$444$	−15.0580	+	0.776121i	−0.714623	+	0.0368331i
$445$	9.00167	+	2.41199i	0.426720	+	0.114339i
$446$	18.1317	+	15.0262i	0.858559	+	0.711509i
$447$	26.4746	+	3.60336i	1.25220	+	0.170433i
$448$	−18.5412	−	10.2090i	−0.875991	−	0.482328i
$449$		−	23.0694i		−	1.08871i	−0.838854	−	0.544357i	$-0.816774\pi$
$449$		−	23.0694i		−	1.08871i	0.838854	−	0.544357i	$-0.183226\pi$
$450$	23.0327	−	16.0375i	1.08577	−	0.756015i
$451$	−6.29849	+	23.5063i	−0.296584	+	1.10687i
$452$	−1.31391	+	0.248295i	−0.0618011	+	0.0116788i
$453$	0.544765	+	4.28262i	0.0255953	+	0.201215i
$454$	−5.30272	+	3.76157i	−0.248869	+	0.176539i
$455$	−57.8665	−	0.950692i	−2.71282	−	0.0445691i
$456$	9.39216	−	12.6011i	0.439828	−	0.590099i
$457$	20.8225	+	12.0219i	0.974035	+	0.562360i	0.900464	−	0.434930i	$-0.143227\pi$
$457$	20.8225	+	12.0219i	0.974035	+	0.562360i	0.0735712	+	0.997290i	$0.476560\pi$
$458$	−21.6829	−	9.94980i	−1.01317	−	0.464924i
$459$	8.18410	+	6.45231i	0.382001	+	0.301168i
$460$	11.6249	+	0.873827i	0.542011	+	0.0407424i
$461$	15.4876	−	15.4876i	0.721327	−	0.721327i	−0.247548	−	0.968876i	$-0.579625\pi$
$461$	15.4876	−	15.4876i	0.721327	−	0.721327i	0.968876	+	0.247548i	$0.0796249\pi$
$462$	12.0822	+	13.5805i	0.562115	+	0.631821i
$463$	13.3594			0.620863			0.310431	−	0.950596i	$-0.399527\pi$
$463$	13.3594			0.620863			0.310431	+	0.950596i	$0.399527\pi$
$464$	10.7760	+	4.70738i	0.500264	+	0.218535i
$465$	−8.56159	−	20.9280i	−0.397034	−	0.970514i
$466$	1.08315	+	2.92021i	0.0501761	+	0.135276i
$467$	6.51376	+	24.3097i	0.301421	+	1.12492i	0.935983	+	0.352046i	$0.114514\pi$
$467$	6.51376	+	24.3097i	0.301421	+	1.12492i	−0.634562	+	0.772872i	$0.718819\pi$
$468$	−37.9014	+	6.81942i	−1.75199	+	0.315228i
$469$	8.24946	−	2.06581i	0.380925	−	0.0953903i
$470$	28.8757	+	40.7063i	1.33194	+	1.87764i
$471$	32.1754	+	24.9135i	1.48256	+	1.14795i
$472$	13.3375	−	13.8364i	0.613907	−	0.636871i
$473$	8.98285	+	15.5588i	0.413032	+	0.715393i
$474$	−6.90246	−	0.289309i	−0.317041	−	0.0132884i
$475$	−15.0063	+	15.0063i	−0.688536	+	0.688536i
$476$	−3.67158	+	9.95761i	−0.168287	+	0.456406i
$477$	8.48559	+	14.9991i	0.388529	+	0.686761i
$478$	8.57363	+	7.10518i	0.392149	+	0.324983i
$479$	−5.69052	−	9.85626i	−0.260006	−	0.450344i	0.706237	−	0.707975i	$-0.250391\pi$
$479$	−5.69052	−	9.85626i	−0.260006	−	0.450344i	−0.966243	+	0.257631i	$0.917058\pi$
$480$	30.0136	+	14.6371i	1.36993	+	0.668089i
$481$	−24.1939	−	13.9684i	−1.10315	−	0.636903i
$482$	−4.40723	+	25.9212i	−0.200744	+	1.18068i
$483$	7.17693	+	3.14925i	0.326562	+	0.143296i
$484$	−2.07096	+	5.91413i	−0.0941344	+	0.268824i
$485$	−2.55839	−	9.54806i	−0.116171	−	0.433555i
$486$	19.7125	−	9.87005i	0.894177	−	0.447714i
$487$	22.3661	−	12.9131i	1.01350	−	0.585147i	0.101288	−	0.994857i	$-0.467704\pi$
$487$	22.3661	−	12.9131i	1.01350	−	0.585147i	0.912216	+	0.409710i	$0.134370\pi$
$488$	5.77688	+	1.43479i	0.261507	+	0.0649498i
$489$	13.7235	+	1.86786i	0.620600	+	0.0844676i
$490$	18.6059	+	28.1445i	0.840531	+	1.27144i
$491$	18.7243	−	18.7243i	0.845016	−	0.845016i	−0.144490	−	0.989506i	$-0.546154\pi$
$491$	18.7243	−	18.7243i	0.845016	−	0.845016i	0.989506	+	0.144490i	$0.0461543\pi$
$492$	−6.27435	+	29.3937i	−0.282870	+	1.32517i
$493$	1.52608	−	5.69539i	0.0687310	−	0.256508i
$494$	27.3017	−	10.1266i	1.22836	−	0.455618i
$495$	−20.0996	−	20.4545i	−0.903411	−	0.919362i
$496$	9.55858	−	11.9749i	0.429193	−	0.537688i
$497$	−29.8153	+	16.5669i	−1.33740	+	0.743126i
$498$	−18.3342	−	5.74562i	−0.821575	−	0.257467i
$499$	7.68601	+	28.6846i	0.344073	+	1.28410i	0.893692	+	0.448682i	$0.148106\pi$
$499$	7.68601	+	28.6846i	0.344073	+	1.28410i	−0.549619	+	0.835416i	$0.685227\pi$
$500$	−9.09539	−	6.20417i	−0.406758	−	0.277459i
$501$	34.7425	+	14.5692i	1.55218	+	0.650906i
$502$	3.32276	−	0.311204i	0.148302	−	0.0138897i
$503$		−	6.45574i		−	0.287847i	−0.989589	−	0.143924i	$-0.954028\pi$
$503$		−	6.45574i		−	0.287847i	0.989589	−	0.143924i	$-0.0459719\pi$
$504$	15.7659	+	15.9824i	0.702268	+	0.711913i
$505$		−	58.4711i		−	2.60193i
$506$	−0.632604	−	6.75439i	−0.0281227	−	0.300269i
$507$	−45.0356	−	18.8856i	−2.00010	−	0.838741i
$508$	0.0607568	+	0.321509i	0.00269565	+	0.0142646i
$509$	−3.77710	−	14.0963i	−0.167417	−	0.624808i	−0.997720	−	0.0674956i	$-0.978499\pi$
$509$	−3.77710	−	14.0963i	−0.167417	−	0.624808i	0.830303	−	0.557313i	$-0.188168\pi$
$510$	5.00702	−	15.9773i	0.221714	−	0.707488i
$511$	0.0847567	+	0.0508087i	0.00374942	+	0.00224765i
$512$	1.24555	+	22.5931i	0.0550461	+	0.998484i
$513$	−13.3569	+	9.97333i	−0.589722	+	0.440333i
$514$	−0.166645	−	0.449280i	−0.00735040	−	0.0198169i
$515$	−0.295691	+	1.10353i	−0.0130297	+	0.0486275i
$516$	12.0688	+	18.6195i	0.531300	+	0.819679i
$517$	20.5365	−	20.5365i	0.903195	−	0.903195i
$518$	1.25211	+	16.2379i	0.0550147	+	0.713453i
$519$	22.4793	+	3.05957i	0.986730	+	0.134300i
$520$	31.9135	+	53.0043i	1.39950	+	2.32439i
$521$	−7.21181	+	4.16374i	−0.315955	+	0.182417i	−0.649588	−	0.760286i	$-0.725059\pi$
$521$	−7.21181	+	4.16374i	−0.315955	+	0.182417i	0.333633	+	0.942703i	$0.391725\pi$
$522$	−9.53349	−	8.04239i	−0.417269	−	0.352006i
$523$	−3.72384	−	13.8976i	−0.162832	−	0.607698i	−0.998307	−	0.0581689i	$-0.981474\pi$
$523$	−3.72384	−	13.8976i	−0.162832	−	0.607698i	0.835475	−	0.549529i	$-0.185193\pi$
$524$	−28.9926	+	13.9540i	−1.26655	+	0.609582i
$525$	−17.9502	−	24.4291i	−0.783413	−	1.06617i
$526$	−30.1180	−	5.12079i	−1.31321	−	0.223277i
$527$	−6.65340	−	3.84134i	−0.289826	−	0.167331i
$528$	5.46967	−	18.6465i	0.238037	−	0.811486i
$529$	10.0375	+	17.3854i	0.436412	+	0.755888i
$530$	17.6665	−	21.3177i	0.767384	−	0.925981i
$531$	−17.7414	+	10.0370i	−0.769912	+	0.435571i
$532$	−13.8646	−	9.79489i	−0.601106	−	0.424662i
$533$	−39.3773	+	39.3773i	−1.70562	+	1.70562i
$534$	0.280490	−	6.69206i	0.0121380	−	0.289594i
$535$	31.9716	+	55.3765i	1.38225	+	2.39413i
$536$	−6.54549	−	6.30947i	−0.282722	−	0.272528i
$537$	−2.73346	−	2.11652i	−0.117957	−	0.0913347i
$538$	−35.7000	+	25.3244i	−1.53914	+	1.09181i
$539$	14.3316	−	13.4195i	0.617305	−	0.578018i
$540$	−26.0918	−	23.9513i	−1.12281	−	1.03070i
$541$	−0.810778	−	3.02586i	−0.0348581	−	0.130092i	0.946304	−	0.323278i	$-0.104785\pi$
$541$	−0.810778	−	3.02586i	−0.0348581	−	0.130092i	−0.981162	+	0.193186i	$0.938118\pi$
$542$	−7.58763	+	2.81437i	−0.325916	+	0.120888i
$543$	−6.32336	−	15.4569i	−0.271361	−	0.663318i
$544$	11.1078	−	2.31105i	0.476245	−	0.0990856i
$545$	−30.9684			−1.32654
$546$	8.40568	+	40.7374i	0.359730	+	1.74340i
$547$	6.31808	−	6.31808i	0.270142	−	0.270142i	−0.559015	−	0.829157i	$-0.688821\pi$
$547$	6.31808	−	6.31808i	0.270142	−	0.270142i	0.829157	+	0.559015i	$0.188821\pi$
$548$	−1.72492	+	1.48373i	−0.0736849	+	0.0633817i
$549$	−5.43978	−	3.20446i	−0.232164	−	0.136763i
$550$	−10.9437	+	23.8488i	−0.466642	+	1.01692i
$551$	8.16763	+	4.71559i	0.347953	+	0.200891i
$552$	−1.20967	−	8.29083i	−0.0514870	−	0.352881i
$553$	−0.122578	+	7.46105i	−0.00521255	+	0.317276i
$554$	9.29144	+	13.0982i	0.394755	+	0.556490i
$555$	−3.24222	−	25.4884i	−0.137625	−	1.08192i
$556$	10.1948	+	6.95412i	0.432357	+	0.294920i
$557$	5.59438	−	20.8785i	0.237042	−	0.884651i	−0.740176	−	0.672413i	$-0.765258\pi$
$557$	5.59438	−	20.8785i	0.237042	−	0.884651i	0.977218	−	0.212238i	$-0.0680753\pi$
$558$	−13.3369	+	9.28639i	−0.564596	+	0.393124i
$559$			41.1117i			1.73884i
$560$	14.9794	−	32.8104i	0.632996	−	1.38649i
$561$	−9.65457	−	1.31405i	−0.407616	−	0.0554791i
$562$	13.8932	−	16.7646i	0.586050	−	0.707171i
$563$	23.2697	+	6.23509i	0.980700	+	0.262778i	0.713340	−	0.700819i	$-0.247182\pi$
$563$	23.2697	+	6.23509i	0.980700	+	0.262778i	0.267361	+	0.963596i	$0.413848\pi$
$564$	24.0247	−	26.6359i	1.01162	−	1.12157i
$565$	−0.589746	−	2.20096i	−0.0248108	−	0.0925952i
$566$	9.36232	−	6.64131i	0.393528	−	0.279155i
$567$	−11.1995	−	21.0136i	−0.470334	−	0.882488i
$568$	31.9080	+	17.6492i	1.33883	+	0.740543i
$569$	6.37298	−	11.0383i	0.267169	−	0.462751i	−0.700960	−	0.713200i	$-0.747245\pi$
$569$	6.37298	−	11.0383i	0.267169	−	0.462751i	0.968130	+	0.250449i	$0.0805784\pi$
$570$	22.6122	+	14.3502i	0.947122	+	0.601064i
$571$	−7.25992	+	27.0944i	−0.303818	+	1.13387i	0.630139	+	0.776482i	$0.282998\pi$
$571$	−7.25992	+	27.0944i	−0.303818	+	1.13387i	−0.933958	+	0.357384i	$0.883669\pi$
$572$	27.2955	−	23.4789i	1.14128	−	0.981701i
$573$	20.0263	−	15.2280i	0.836611	−	0.636157i
$574$	31.9111	+	5.96658i	1.33194	+	0.249040i
$575$			11.3139i			0.471823i
$576$	5.56102	−	23.3468i	0.231709	−	0.972785i
$577$	36.0326	−	20.8035i	1.50006	−	0.866059i	0.500059	−	0.865992i	$-0.333312\pi$
$577$	36.0326	−	20.8035i	1.50006	−	0.866059i	1.00000		6.77305e-5i	$-2.15593e-5\pi$
$578$	6.38242	+	17.2072i	0.265474	+	0.715725i
$579$	−41.2074	+	5.24173i	−1.71252	+	0.217839i
$580$	−6.62264	+	18.9126i	−0.274990	+	0.785302i
$581$	−5.69979	+	19.9548i	−0.236467	+	0.827863i
$582$	−6.29603	+	3.29147i	−0.260979	+	0.136436i
$583$	−13.9532	−	8.05586i	−0.577881	−	0.333640i
$584$	−0.00193927	−	0.105624i	−8.02474e−5	−	0.00437077i
$585$	−16.4292	−	63.5334i	−0.679264	−	2.62678i
$586$	−31.6270	+	2.96213i	−1.30650	+	0.122364i
$587$	0.456777	+	0.456777i	0.0188532	+	0.0188532i	0.716471	−	0.697617i	$-0.245756\pi$
$587$	0.456777	+	0.456777i	0.0188532	+	0.0188532i	−0.697617	+	0.716471i	$0.745756\pi$
$588$	16.8238	−	17.4631i	0.693803	−	0.720165i
$589$	8.68927	−	8.68927i	0.358035	−	0.358035i
$590$	25.2153	+	20.8965i	1.03810	+	0.860297i
$591$	−3.96717	−	9.69740i	−0.163188	−	0.398898i
$592$	14.0132	−	10.3324i	0.575941	−	0.424658i
$593$	−10.3640	+	17.9510i	−0.425599	+	0.737159i	−0.996476	−	0.0838764i	$-0.973270\pi$
$593$	−10.3640	+	17.9510i	−0.425599	+	0.737159i	0.570877	+	0.821035i	$0.306603\pi$
$594$	−11.1958	+	17.3051i	−0.459369	+	0.710036i
$595$	−17.3896	−	4.96708i	−0.712903	−	0.203631i
$596$	−27.7998	+	13.3799i	−1.13872	+	0.548061i
$597$	32.6380	−	4.15167i	1.33578	−	0.169917i
$598$	6.47451	−	14.1094i	0.264763	−	0.576977i
$599$	−5.41603	−	9.38085i	−0.221293	−	0.383291i	0.733908	−	0.679249i	$-0.237694\pi$
$599$	−5.41603	−	9.38085i	−0.221293	−	0.383291i	−0.955201	+	0.295958i	$0.904361\pi$
$600$	−11.9821	+	30.1115i	−0.489169	+	1.22930i
$601$	7.05897			0.287941			0.143971	−	0.989582i	$-0.454013\pi$
$601$	7.05897			0.287941			0.143971	+	0.989582i	$0.454013\pi$
$602$	19.7730	−	13.5436i	0.805887	−	0.551996i
$603$	4.74816	+	8.39282i	0.193360	+	0.341782i
$604$	−3.25078	−	3.77922i	−0.132272	−	0.153774i
$605$	−10.3142	−	2.76368i	−0.419332	−	0.112360i
$606$	−41.0124	+	9.16730i	−1.66602	+	0.372396i
$607$	23.3242	+	13.4662i	0.946699	+	0.546577i	0.892054	−	0.451929i	$-0.149264\pi$
$607$	23.3242	+	13.4662i	0.946699	+	0.546577i	0.0546450	+	0.998506i	$0.482597\pi$
$608$	−1.02787	+	18.1184i	−0.0416855	+	0.734798i
$609$	−8.42180	+	10.5152i	−0.341269	+	0.426096i
$610$	−1.70019	+	9.99970i	−0.0688387	+	0.404876i
$611$	64.1958	−	17.2012i	2.59709	−	0.695887i
$612$	−11.9917	−	1.00701i	−0.484737	−	0.0407059i
$613$	−5.83769	+	21.7866i	−0.235782	+	0.879951i	0.742013	+	0.670386i	$0.233871\pi$
$613$	−5.83769	+	21.7866i	−0.235782	+	0.879951i	−0.977795	+	0.209565i	$0.932795\pi$
$614$	−17.8107	+	1.66812i	−0.718781	+	0.0673198i
$615$	−50.7490	−	6.90727i	−2.04640	−	0.278528i
$616$	−20.2844	−	5.39325i	−0.817283	−	0.217300i
$617$	−4.73842			−0.190761			−0.0953807	−	0.995441i	$-0.530407\pi$
$617$	−4.73842			−0.190761			−0.0953807	+	0.995441i	$0.530407\pi$
$618$	0.820394	+	0.0343859i	0.0330011	+	0.00138320i
$619$	6.87961	+	1.84339i	0.276515	+	0.0740919i	0.394411	−	0.918934i	$-0.370948\pi$
$619$	6.87961	+	1.84339i	0.276515	+	0.0740919i	−0.117897	+	0.993026i	$0.537615\pi$
$620$	21.5694	+	14.7130i	0.866248	+	0.590887i
$621$	−1.27552	+	8.79485i	−0.0511848	+	0.352925i
$622$	4.74221	−	27.8914i	0.190145	−	1.11834i
$623$	−7.23362	−	0.118842i	−0.289809	−	0.00476129i
$624$	32.1744	−	30.6947i	1.28801	−	1.22877i
$625$	−7.15737	+	12.3969i	−0.286295	+	0.495877i
$626$	−3.95753	−	10.6696i	−0.158175	−	0.426443i
$627$	6.02703	−	14.3723i	0.240696	−	0.573976i
$628$	−46.8563	−	3.52214i	−1.86977	−	0.140549i
$629$	−6.17299	−	6.17299i	−0.246133	−	0.246133i
$630$	−25.1445	+	28.8318i	−1.00178	+	1.14869i
$631$			28.3799i			1.12979i	0.825164	+	0.564894i	$0.191083\pi$
$631$			28.3799i			1.12979i	−0.825164	+	0.564894i	$0.808917\pi$
$632$	6.83414	−	4.11479i	0.271848	−	0.163677i
$633$	−0.775758	−	1.89627i	−0.0308336	−	0.0753700i
$634$	12.1603	−	26.5001i	0.482949	−	1.05245i
$635$	−0.538568	+	0.144309i	−0.0213724	+	0.00572672i
$636$	−17.7223	−	9.04926i	−0.702736	−	0.358827i
$637$	43.7560	−	10.1965i	1.73368	−	0.403998i
$638$	11.4961	+	1.95462i	0.455135	+	0.0773840i
$639$	−27.1075	−	27.5862i	−1.07236	−	1.09129i
$640$	−38.2325	+	5.00238i	−1.51127	+	0.197736i
$641$	34.7860	−	20.0837i	1.37396	−	0.793258i	0.382539	−	0.923939i	$-0.375050\pi$
$641$	34.7860	−	20.0837i	1.37396	−	0.793258i	0.991424	+	0.130681i	$0.0417164\pi$
$642$	33.8292	−	31.1075i	1.33513	−	1.22771i
$643$	−19.0526	−	19.0526i	−0.751361	−	0.751361i	0.223372	−	0.974733i	$-0.428293\pi$
$643$	−19.0526	−	19.0526i	−0.751361	−	0.751361i	−0.974733	+	0.223372i	$0.928293\pi$
$644$	−8.91896	+	1.53416i	−0.351456	+	0.0604543i
$645$	−30.0979	+	22.8864i	−1.18510	+	0.901151i
$646$	9.05978	−	0.848523i	0.356452	−	0.0333847i
$647$	−6.05127	+	3.49370i	−0.237900	+	0.137352i	−0.614211	−	0.789142i	$-0.710526\pi$
$647$	−6.05127	+	3.49370i	−0.237900	+	0.137352i	0.376311	+	0.926493i	$0.377192\pi$
$648$	−12.7090	+	22.0563i	−0.499258	+	0.866453i
$649$	9.52875	−	16.5043i	0.374036	−	0.647849i
$650$	−48.9750	+	34.7413i	−1.92096	+	1.36266i
$651$	10.3939	+	14.1455i	0.407371	+	0.554404i
$652$	−14.4105	+	6.93568i	−0.564358	+	0.271622i
$653$	23.8185	−	6.38215i	0.932091	−	0.249753i	0.239345	−	0.970935i	$-0.423067\pi$
$653$	23.8185	−	6.38215i	0.932091	−	0.249753i	0.692746	+	0.721182i	$0.256401\pi$
$654$	4.85534	+	21.7217i	0.189859	+	0.849385i
$655$	−27.4147	−	47.4837i	−1.07118	−	1.85534i
$656$	−12.6646	−	32.3123i	−0.494471	−	1.26158i
$657$	−0.0299468	+	0.107974i	−0.00116834	+	0.00421248i
$658$	−29.4214	−	25.2088i	−1.14696	−	0.982741i
$659$	−29.4051	−	29.4051i	−1.14546	−	1.14546i	−0.987435	−	0.158024i	$-0.949488\pi$
$659$	−29.4051	−	29.4051i	−1.14546	−	1.14546i	−0.158024	−	0.987435i	$-0.550512\pi$
$660$	32.3840	+	6.91266i	1.26055	+	0.269075i
$661$	−28.5894	−	7.66050i	−1.11200	−	0.297959i	−0.344357	−	0.938839i	$-0.611903\pi$
$661$	−28.5894	−	7.66050i	−1.11200	−	0.297959i	−0.767641	+	0.640880i	$0.778570\pi$
$662$	−7.92083	+	17.2613i	−0.307852	+	0.670878i
$663$	−17.6296	−	13.6506i	−0.684676	−	0.530146i
$664$	21.3207	−	6.13450i	0.827405	−	0.238065i
$665$	14.8731	−	24.8107i	0.576756	−	0.962117i
$666$	−17.3696	+	6.27031i	−0.673059	+	0.242969i
$667$	4.85661	−	1.30133i	0.188049	−	0.0503875i
$668$	−42.7453	+	8.07775i	−1.65386	+	0.312538i
$669$	26.5972	+	11.1535i	1.02831	+	0.431220i
$670$	9.88538	−	11.9284i	0.381906	−	0.460835i
$671$	5.90266			0.227869
$672$	−25.3622	−	5.36263i	−0.978369	−	0.206868i
$673$	−25.1018			−0.967605			−0.483802	−	0.875177i	$-0.660745\pi$
$673$	−25.1018			−0.967605			−0.483802	+	0.875177i	$0.660745\pi$
$674$	1.49637	−	1.80563i	0.0576379	−	0.0695501i
$675$	21.2816	−	26.9936i	0.819130	−	1.03898i
$676$	55.4093	−	10.4709i	2.13113	−	0.402728i
$677$	15.4714	−	4.14554i	0.594612	−	0.159326i	0.0510520	−	0.998696i	$-0.483743\pi$
$677$	15.4714	−	4.14554i	0.594612	−	0.159326i	0.543560	+	0.839370i	$0.317076\pi$
$678$	−1.45132	+	0.758731i	−0.0557378	+	0.0291389i
$679$	3.72718	+	6.70777i	0.143036	+	0.257421i
$680$	5.34591	+	18.5800i	0.205006	+	0.712509i
$681$	−4.87490	+	6.29586i	−0.186806	+	0.241258i
$682$	6.33688	−	13.8095i	0.242652	−	0.528792i
$683$	−32.7109	−	8.76487i	−1.25165	−	0.335378i	−0.428676	−	0.903458i	$-0.641020\pi$
$683$	−32.7109	−	8.76487i	−1.25165	−	0.335378i	−0.822973	+	0.568080i	$0.807686\pi$
$684$	6.52020	−	18.1104i	0.249306	−	0.692468i
$685$	−2.74157	−	2.74157i	−0.104750	−	0.104750i
$686$	−19.3188	−	17.6857i	−0.737595	−	0.675244i
$687$	−28.9515	−	3.94048i	−1.10457	−	0.150339i
$688$	−23.4790	−	10.2565i	−0.895127	−	0.391026i
$689$	−18.4346	−	31.9296i	−0.702301	−	1.21642i
$690$	13.9338	−	3.11455i	0.530451	−	0.118569i
$691$	9.45931	−	2.53461i	0.359849	−	0.0964212i	−0.0743648	−	0.997231i	$-0.523693\pi$
$691$	9.45931	−	2.53461i	0.359849	−	0.0964212i	0.434214	+	0.900810i	$0.357026\pi$
$692$	−23.6045	+	11.3607i	−0.897309	+	0.431869i
$693$	18.9934	+	11.6130i	0.721501	+	0.441143i
$694$	10.7078	−	7.59577i	0.406463	−	0.288331i
$695$	−10.5147	+	18.2120i	−0.398844	+	0.690819i
$696$	14.3039	+	1.68003i	0.542187	+	0.0636814i
$697$	−15.0705	+	8.70093i	−0.570834	+	0.329571i
$698$	14.6305	−	1.37027i	0.553772	−	0.0518653i
$699$	2.30893	+	3.03647i	0.0873316	+	0.114850i
$700$	32.8431	+	12.1100i	1.24135	+	0.457713i
$701$	19.2823	+	19.2823i	0.728284	+	0.728284i	0.970278	−	0.241994i	$-0.0778013\pi$
$701$	19.2823	+	19.2823i	0.728284	+	0.728284i	−0.241994	+	0.970278i	$0.577801\pi$
$702$	−41.9874	+	21.4847i	−1.58471	+	0.810886i
$703$	12.0928	−	6.98178i	0.456089	−	0.263323i
$704$	6.59916	+	21.4460i	0.248715	+	0.808277i
$705$	48.3301	+	37.4221i	1.82022	+	1.40940i
$706$	−28.6386	−	4.86925i	−1.07783	−	0.183256i
$707$	11.0264	+	44.0320i	0.414690	+	1.65599i
$708$	10.7038	−	20.9626i	0.402273	−	0.787822i
$709$	−12.5961	+	3.37513i	−0.473058	+	0.126756i	−0.487468	−	0.873141i	$-0.662080\pi$
$709$	−12.5961	+	3.37513i	−0.473058	+	0.126756i	0.0144103	+	0.999896i	$0.495413\pi$
$710$	−25.9149	+	56.4744i	−0.972570	+	2.11945i
$711$	−8.19172	+	2.11831i	−0.307214	+	0.0794429i
$712$	3.98935	+	6.62582i	0.149507	+	0.248313i
$713$		−	6.55123i		−	0.245345i
$714$	−0.757583	+	12.9760i	−0.0283518	+	0.485616i
$715$	43.3833	+	43.3833i	1.62244	+	1.62244i
$716$	3.98067	+	0.299223i	0.148765	+	0.0111825i
$717$	12.5766	+	5.27399i	0.469682	+	0.196961i
$718$	−8.46637	−	22.8256i	−0.315962	−	0.851843i
$719$	−4.51352	+	7.81765i	−0.168326	+	0.291549i	−0.937831	−	0.347091i	$-0.887169\pi$
$719$	−4.51352	+	7.81765i	−0.168326	+	0.291549i	0.769505	+	0.638640i	$0.220503\pi$
$720$	40.3828	+	6.46751i	1.50498	+	0.241030i
$721$	0.0145690	−	0.886785i	0.000542579	−	0.0330256i
$722$	2.06430	−	12.1412i	0.0768253	−	0.451849i
$723$	4.06353	+	31.9450i	0.151124	+	1.18805i
$724$	15.9306	+	10.8666i	0.592056	+	0.403854i
$725$	−18.7851	−	5.03345i	−0.697660	−	0.186937i
$726$	−0.321388	+	7.66782i	−0.0119278	+	0.284579i
$727$	−29.3525			−1.08863			−0.544313	−	0.838882i	$-0.683210\pi$
$727$	−29.3525			−1.08863			−0.544313	+	0.838882i	$0.683210\pi$
$728$	−34.0281	−	33.8970i	−1.26117	−	1.25631i
$729$	19.5865	−	18.5841i	0.725424	−	0.688302i
$730$	0.179236	−	0.0167869i	0.00663382	−	0.000621311i
$731$	−3.32503	+	12.4092i	−0.122981	+	0.458971i
$732$	7.28049	−	0.375251i	0.269095	−	0.0138697i
$733$	11.2515	−	3.01482i	0.415582	−	0.111355i	−0.0449684	−	0.998988i	$-0.514319\pi$
$733$	11.2515	−	3.01482i	0.415582	−	0.111355i	0.460550	+	0.887634i	$0.347652\pi$
$734$	6.09548	−	35.8507i	0.224988	−	1.32327i
$735$	31.8233	+	26.3575i	1.17382	+	0.972213i
$736$	6.44265	+	7.21761i	0.237479	+	0.266045i
$737$	−7.80757	−	4.50770i	−0.287595	−	0.166043i
$738$	3.11176	+	36.6790i	0.114545	+	1.35017i
$739$	−30.2876	−	8.11553i	−1.11415	−	0.298535i	−0.345634	−	0.938369i	$-0.612336\pi$
$739$	−30.2876	−	8.11553i	−1.11415	−	0.298535i	−0.768513	+	0.639835i	$0.779003\pi$
$740$	19.3474	+	22.4924i	0.711223	+	0.826838i
$741$	28.3886	−	21.5866i	1.04288	−	0.793005i
$742$	−9.28381	+	19.3849i	−0.340819	+	0.711644i
$743$	20.7045			0.759575			0.379788	−	0.925074i	$-0.375997\pi$
$743$	20.7045			0.759575			0.379788	+	0.925074i	$0.375997\pi$
$744$	6.93816	−	17.4358i	0.254365	−	0.639229i
$745$	−26.2868	−	45.5301i	−0.963075	−	1.66810i
$746$	10.3711	−	22.6010i	0.379714	−	0.827481i
$747$	−23.5306	−	0.205919i	−0.860940	−	0.00753419i
$748$	10.1378	−	4.87928i	0.370676	−	0.178404i
$749$	−34.5193	−	35.6725i	−1.26131	−	1.30344i
$750$	−12.8673	−	4.03238i	−0.469846	−	0.147242i
$751$	−10.5912	+	18.3445i	−0.386479	+	0.669400i	−0.991973	−	0.126449i	$-0.959642\pi$
$751$	−10.5912	+	18.3445i	−0.386479	+	0.669400i	0.605495	+	0.795849i	$0.292975\pi$
$752$	−6.19187	+	40.9537i	−0.225794	+	1.49343i
$753$	3.78302	−	1.54762i	0.137861	−	0.0563985i
$754$	20.5462	+	17.0271i	0.748247	+	0.620091i
$755$	6.00666	−	6.00666i	0.218605	−	0.218605i
$756$	24.1653	+	13.1164i	0.878883	+	0.477037i
$757$	−16.8514	−	16.8514i	−0.612476	−	0.612476i	0.331114	−	0.943591i	$-0.392575\pi$
$757$	−16.8514	−	16.8514i	−0.612476	−	0.612476i	−0.943591	+	0.331114i	$0.892575\pi$
$758$	9.81655	−	0.919400i	0.356553	−	0.0333941i
$759$	−3.14595	−	7.69000i	−0.114191	−	0.279129i
$760$	−30.9192	+	0.567678i	−1.12156	+	0.0205919i
$761$	−7.91897	−	4.57202i	−0.287062	−	0.165736i	0.349554	−	0.936916i	$-0.386333\pi$
$761$	−7.91897	−	4.57202i	−0.287062	−	0.165736i	−0.636616	+	0.771181i	$0.719666\pi$
$762$	0.185659	+	0.355134i	0.00672570	+	0.0128651i
$763$	23.3210	−	5.83999i	0.844276	−	0.211422i
$764$	−9.60098	+	27.4180i	−0.347351	+	0.991948i
$765$	0.179448	−	20.5057i	0.00648797	−	0.741387i
$766$	−8.39276	−	22.6271i	−0.303243	−	0.817552i
$767$	37.7674	−	21.8050i	1.36370	−	0.787334i
$768$	9.50297	+	26.0325i	0.342909	+	0.939369i
$769$		−	34.7218i		−	1.25210i	−0.779783	−	0.626050i	$-0.784670\pi$
$769$		−	34.7218i		−	1.25210i	0.779783	−	0.626050i	$-0.215330\pi$
$770$	6.57359	−	35.1575i	0.236896	−	1.26699i
$771$	−0.355233	−	0.467166i	−0.0127934	−	0.0168246i
$772$	36.3637	−	31.2791i	1.30876	−	1.12576i
$773$	7.12294	−	26.5832i	0.256194	−	0.956130i	−0.711228	−	0.702962i	$-0.751861\pi$
$773$	7.12294	−	26.5832i	0.256194	−	0.956130i	0.967422	−	0.253169i	$-0.0814728\pi$
$774$	20.7717	+	17.5229i	0.746623	+	0.629847i
$775$	−12.6699	+	21.9449i	−0.455115	+	0.788282i
$776$	3.97067	−	7.17859i	0.142539	−	0.257696i
$777$	7.24815	+	18.5828i	0.260026	+	0.666655i
$778$	26.7437	−	18.9711i	0.958809	−	0.680147i
$779$	−7.20407	−	26.8859i	−0.258112	−	0.963289i
$780$	56.2682	+	50.7521i	2.01472	+	1.81722i
$781$	34.9271	+	9.35869i	1.24979	+	0.334880i
$782$	3.09542	−	3.73515i	0.110692	−	0.133569i
$783$	−14.0351	−	6.03055i	−0.501573	−	0.215514i
$784$	−5.09299	+	27.5329i	−0.181893	+	0.983318i
$785$		−	80.0711i		−	2.85786i
$786$	−29.0075	+	26.6737i	−1.03466	+	0.951420i
$787$	−7.64339	+	28.5255i	−0.272458	+	1.01683i	0.685068	+	0.728479i	$0.259772\pi$
$787$	−7.64339	+	28.5255i	−0.272458	+	1.01683i	−0.957526	+	0.288347i	$0.906894\pi$
$788$	9.99459	+	6.81754i	0.356043	+	0.242865i
$789$	−37.1172	+	4.72145i	−1.32141	+	0.168088i
$790$	7.86504	+	11.0874i	0.279826	+	0.394473i
$791$	0.859167	+	1.54624i	0.0305485	+	0.0549778i
$792$	−0.228640	−	23.7984i	−0.00812437	−	0.845639i
$793$	11.6977	+	6.75365i	0.415396	+	0.239829i
$794$	15.6074	−	34.0121i	0.553887	−	1.20704i
$795$	13.1134	−	31.2708i	0.465084	−	1.10906i
$796$	−28.8016	+	24.7743i	−1.02084	+	0.878103i
$797$	25.3019	−	25.3019i	0.896238	−	0.896238i	−0.0988633	−	0.995101i	$-0.531521\pi$
$797$	25.3019	−	25.3019i	0.896238	−	0.896238i	0.995101	+	0.0988633i	$0.0315206\pi$
$798$	−19.7344	−	6.54233i	−0.698591	−	0.231596i
$799$	20.7681			0.734724
$800$	−7.62253	−	36.6369i	−0.269497	−	1.29531i
$801$	−2.05374	−	7.94201i	−0.0725653	−	0.280617i
$802$	−26.6635	+	9.88990i	−0.941520	+	0.349224i
$803$	−0.0271137	−	0.101190i	−0.000956823	−	0.00357091i
$804$	−9.91663	−	5.06356i	−0.349733	−	0.178578i
$805$	−3.74617	−	14.9597i	−0.132035	−	0.527260i
$806$	28.3586	−	20.1166i	0.998889	−	0.708578i
$807$	−32.8197	+	42.3862i	−1.15531	+	1.49206i
$808$	33.6772	−	34.9369i	1.18476	−	1.22908i
$809$	17.7443	+	30.7340i	0.623856	+	1.08055i	0.988761	+	0.149505i	$0.0477680\pi$
$809$	17.7443	+	30.7340i	0.623856	+	1.08055i	−0.364905	+	0.931045i	$0.618899\pi$
$810$	−39.1028	−	18.7787i	−1.37393	−	0.659817i
$811$	26.7105	−	26.7105i	0.937931	−	0.937931i	−0.0602522	−	0.998183i	$-0.519191\pi$
$811$	26.7105	−	26.7105i	0.937931	−	0.937931i	0.998183	+	0.0602522i	$0.0191905\pi$
$812$	1.42071	−	15.4911i	0.0498572	−	0.543632i
$813$	−7.88970	+	5.99932i	−0.276704	+	0.210405i
$814$	11.0167	−	13.2935i	0.386134	−	0.465938i
$815$	−13.6262	−	23.6013i	−0.477306	−	0.826718i
$816$	12.1941	−	6.66273i	0.426879	−	0.233242i
$817$	−17.7958	−	10.2744i	−0.622595	−	0.359455i
$818$	−29.8604	−	5.07699i	−1.04404	−	0.177513i
$819$	24.3532	+	44.7460i	0.850969	+	1.56355i
$820$	53.2894	−	25.6478i	1.86095	−	0.895661i
$821$	−6.69070	−	24.9700i	−0.233507	−	0.871460i	−0.978816	−	0.204741i	$-0.934365\pi$
$821$	−6.69070	−	24.9700i	−0.233507	−	0.871460i	0.745309	−	0.666719i	$-0.232302\pi$
$822$	−1.49314	+	2.35281i	−0.0520793	+	0.0820637i
$823$	19.7290	−	11.3906i	0.687711	−	0.397050i	−0.115043	−	0.993360i	$-0.536701\pi$
$823$	19.7290	−	11.3906i	0.687711	−	0.397050i	0.802754	+	0.596311i	$0.203367\pi$
$824$	−0.812273	+	0.489064i	−0.0282969	+	0.0170373i
$825$	−4.33412	+	31.8436i	−0.150895	+	1.10865i
$826$	−22.9292	−	10.9812i	−0.797808	−	0.382085i
$827$	−25.6580	+	25.6580i	−0.892217	+	0.892217i	−0.994731	−	0.102515i	$-0.967311\pi$
$827$	−25.6580	+	25.6580i	−0.892217	+	0.892217i	0.102515	+	0.994731i	$0.467311\pi$
$828$	−4.36918	−	9.28505i	−0.151839	−	0.322678i
$829$	−4.46193	+	16.6522i	−0.154969	+	0.578353i	0.844139	+	0.536125i	$0.180112\pi$
$829$	−4.46193	+	16.6522i	−0.154969	+	0.578353i	−0.999108	+	0.0422283i	$0.986554\pi$
$830$	13.1475	+	35.4460i	0.456355	+	1.23035i
$831$	15.5514	+	12.0414i	0.539471	+	0.417713i
$832$	−11.4599	+	50.0515i	−0.397302	+	1.73522i
$833$	14.0320	+	0.461191i	0.486181	+	0.0159793i
$834$	14.4226	+	4.51981i	0.499415	+	0.156508i
$835$	−19.1862	−	71.6037i	−0.663964	−	2.47795i
$836$	3.34162	+	17.6829i	0.115572	+	0.611577i
$837$	−12.3229	+	15.6304i	−0.425943	+	0.540266i
$838$	0.705386	+	7.53149i	0.0243672	+	0.260171i
$839$			16.6615i			0.575220i	0.957748	+	0.287610i	$0.0928607\pi$
$839$			16.6615i			0.575220i	−0.957748	+	0.287610i	$0.907139\pi$
$840$	5.87296	−	43.7821i	0.202636	−	1.51062i
$841$		−	20.3574i		−	0.701978i
$842$	42.9199	−	4.01981i	1.47912	−	0.138532i
$843$	10.3126	−	24.5919i	0.355184	−	0.846989i
$844$	1.95439	+	1.33313i	0.0672727	+	0.0458882i
$845$	24.8704	+	92.8176i	0.855568	+	3.19302i
$846$	18.6710	−	39.7666i	0.641923	−	1.36720i
$847$	8.28834	+	0.136170i	0.284791	+	0.00467885i
$848$	22.8341	−	2.56224i	0.784126	−	0.0879877i
$849$	8.60696	−	11.1158i	0.295390	−	0.381492i
$850$	−17.5925	+	6.52533i	−0.603417	+	0.223817i
$851$	1.92671	−	7.19058i	0.0660468	−	0.246490i
$852$	43.6750	+	9.32282i	1.49628	+	0.319395i
$853$	−15.2587	+	15.2587i	−0.522449	+	0.522449i	−0.918310	−	0.395861i	$-0.870446\pi$
$853$	−15.2587	+	15.2587i	−0.522449	+	0.522449i	0.395861	+	0.918310i	$0.370446\pi$
$854$	−0.605392	−	7.85096i	−0.0207161	−	0.268654i
$855$	31.6072	+	8.76627i	1.08094	+	0.299800i
$856$	−12.7915	+	51.5024i	−0.437205	+	1.76032i
$857$	−19.5856	+	11.3078i	−0.669033	+	0.386266i	−0.795710	−	0.605678i	$-0.792902\pi$
$857$	−19.5856	+	11.3078i	−0.669033	+	0.386266i	0.126677	+	0.991944i	$0.459569\pi$
$858$	23.6279	−	37.2314i	0.806642	−	1.27106i
$859$	1.69243	+	6.31625i	0.0577451	+	0.215508i	0.988769	−	0.149450i	$-0.0477502\pi$
$859$	1.69243	+	6.31625i	0.0577451	+	0.215508i	−0.931024	+	0.364957i	$0.881084\pi$
$860$	14.4295	−	41.2070i	0.492042	−	1.40515i
$861$	39.5195	−	4.36863i	1.34682	−	0.148882i
$862$	2.65654	−	15.6245i	0.0904821	−	0.532172i
$863$	−4.92065	−	2.84094i	−0.167501	−	0.0967068i	0.413906	−	0.910320i	$-0.364164\pi$
$863$	−4.92065	−	2.84094i	−0.167501	−	0.0967068i	−0.581407	+	0.813613i	$0.697498\pi$
$864$	−1.79495	−	29.3390i	−0.0610655	−	0.998134i
$865$	−22.3199	−	38.6591i	−0.758898	−	1.31445i
$866$	−39.2408	−	32.5199i	−1.33346	−	1.10507i
$867$	13.6052	+	17.8922i	0.462058	+	0.607652i
$868$	−19.0175	−	7.01217i	−0.645497	−	0.238009i
$869$	5.59366	−	5.59366i	0.189752	−	0.189752i
$870$	−1.02775	+	24.5206i	−0.0348442	+	0.831327i
$871$	−10.3152	−	17.8664i	−0.349516	−	0.605379i
$872$	−18.5039	−	17.8367i	−0.626621	−	0.604026i
$873$	−6.20627	+	6.09859i	−0.210050	+	0.206406i
$874$	4.48938	+	6.32872i	0.151856	+	0.214072i
$875$	−4.00022	+	14.0046i	−0.135232	+	0.473442i
$876$	−0.0398758	−	0.123087i	−0.00134728	−	0.00415871i
$877$	7.78392	+	29.0500i	0.262844	+	0.980949i	0.963557	+	0.267505i	$0.0861990\pi$
$877$	7.78392	+	29.0500i	0.262844	+	0.980949i	−0.700712	+	0.713444i	$0.747134\pi$
$878$	−1.63872	−	4.41804i	−0.0553041	−	0.149102i
$879$	−36.0079	+	14.7307i	−1.21452	+	0.496854i
$880$	−35.5995	+	13.9530i	−1.20006	+	0.470357i
$881$	8.04969			0.271201			0.135600	−	0.990764i	$-0.456704\pi$
$881$	8.04969			0.271201			0.135600	+	0.990764i	$0.456704\pi$
$882$	13.4982	−	26.4537i	0.454507	−	0.890743i
$883$	−18.1256	+	18.1256i	−0.609975	+	0.609975i	−0.942939	−	0.332964i	$-0.891951\pi$
$883$	−18.1256	+	18.1256i	−0.609975	+	0.609975i	0.332964	+	0.942939i	$0.391951\pi$
$884$	25.6735	+	1.92985i	0.863494	+	0.0649079i
$885$	36.9882	+	15.5109i	1.24334	+	0.521395i
$886$	10.1284	+	4.64771i	0.340270	+	0.156143i
$887$	3.40816	+	1.96770i	0.114435	+	0.0660689i	0.556125	−	0.831099i	$-0.312288\pi$
$887$	3.40816	+	1.96770i	0.114435	+	0.0660689i	−0.441690	+	0.897168i	$0.645621\pi$
$888$	12.7431	−	17.0969i	0.427632	−	0.573736i
$889$	0.378358	−	0.210235i	0.0126897	−	0.00705106i
$890$	−10.7494	+	7.62529i	−0.360322	+	0.255600i
$891$	−6.95913	+	24.2649i	−0.233140	+	0.812906i
$892$	−32.7238	+	6.18394i	−1.09567	+	0.207054i
$893$	−8.59765	+	32.0869i	−0.287709	+	1.07375i
$894$	−27.8141	+	25.5763i	−0.930244	+	0.855401i
$895$			6.80243i			0.227380i
$896$	27.8479	−	10.9769i	0.930334	−	0.366713i
$897$	2.56414	−	18.8393i	0.0856142	−	0.629024i
$898$	25.1201	+	20.8177i	0.838270	+	0.694695i
$899$	10.8773	+	2.91458i	0.362780	+	0.0972065i
$900$	−3.32141	+	39.5523i	−0.110714	+	1.31841i
$901$	−2.98190	−	11.1286i	−0.0993416	−	0.370748i
$902$	−19.9121	−	28.0703i	−0.663001	−	0.934638i
$903$	18.3495	−	22.9106i	0.610634	−	0.762416i
$904$	0.915296	−	1.65477i	0.0304423	−	0.0550367i
$905$	−16.4304	+	28.4583i	−0.546165	+	0.945985i
$906$	−5.15490	−	3.27141i	−0.171260	−	0.108685i
$907$	−13.5852	+	50.7005i	−0.451088	+	1.68348i	0.248252	+	0.968695i	$0.420144\pi$
$907$	−13.5852	+	50.7005i	−0.451088	+	1.68348i	−0.699341	+	0.714789i	$0.746523\pi$
$908$	0.689187	−	9.16851i	0.0228715	−	0.304268i
$909$	−44.7972	+	25.3436i	−1.48583	+	0.840594i
$910$	53.2535	−	62.1525i	1.76534	−	2.06033i
$911$		−	0.0313447i		−	0.00103850i	−1.00000		0.000519248i	$-0.999835\pi$
$911$		−	0.0313447i		−	0.00103850i	1.00000		0.000519248i	$-0.000165282\pi$
$912$	5.24580	+	21.5982i	0.173706	+	0.715187i
$913$	19.0529	−	11.0002i	0.630558	−	0.364053i
$914$	−31.8806	+	11.8250i	−1.05452	+	0.391137i
$915$	1.56760	+	12.3235i	0.0518233	+	0.407404i
$916$	30.4007	−	14.6317i	1.00447	−	0.483444i
$917$	29.5993	+	30.5881i	0.977454	+	1.01011i
$918$	−14.4111	+	3.08910i	−0.475639	+	0.101955i
$919$	0.884482	+	0.510656i	0.0291764	+	0.0168450i	0.514517	−	0.857480i	$-0.327971\pi$
$919$	0.884482	+	0.510656i	0.0291764	+	0.0168450i	−0.485341	+	0.874325i	$0.661304\pi$
$920$	−11.4417	+	11.8697i	−0.377221	+	0.391332i
$921$	−20.2778	+	8.29558i	−0.668176	+	0.273349i
$922$	2.88843	+	30.8401i	0.0951255	+	1.01567i
$923$	58.5093	+	58.5093i	1.92586	+	1.92586i
$924$	−25.6906	+	0.901308i	−0.845158	+	0.0296509i
$925$	−20.3603	+	20.3603i	−0.669443	+	0.669443i
$926$	−12.0554	+	14.5469i	−0.396165	+	0.478042i
$927$	0.973629	−	0.251772i	0.0319782	−	0.00826929i
$928$	−14.8500	+	7.48603i	−0.487476	+	0.245741i
$929$	5.43822	−	9.41926i	0.178422	−	0.309036i	−0.762918	−	0.646495i	$-0.776234\pi$
$929$	5.43822	−	9.41926i	0.178422	−	0.309036i	0.941340	+	0.337459i	$0.109567\pi$
$930$	30.5143	+	9.56265i	1.00060	+	0.313572i
$931$	−6.52155	+	21.4886i	−0.213735	+	0.704261i
$932$	−4.15723	−	1.45574i	−0.136174	−	0.0476844i
$933$	−4.37238	−	34.3731i	−0.143145	−	1.12532i
$934$	−32.3486	−	14.8441i	−1.05848	−	0.485714i
$935$	9.58611	+	16.6036i	0.313499	+	0.542996i
$936$	26.7763	−	47.4244i	0.875211	−	1.55011i
$937$	17.2886			0.564792			0.282396	−	0.959298i	$-0.408871\pi$
$937$	17.2886			0.564792			0.282396	+	0.959298i	$0.408871\pi$
$938$	−5.19481	+	10.8470i	−0.169616	+	0.354166i
$939$	−8.43615	−	11.0944i	−0.275303	−	0.362051i
$940$	−70.3820	−	5.29054i	−2.29561	−	0.172558i
$941$	−28.1656	−	7.54696i	−0.918174	−	0.246024i	−0.231369	−	0.972866i	$-0.574321\pi$
$941$	−28.1656	−	7.54696i	−0.918174	−	0.246024i	−0.686805	+	0.726842i	$0.740987\pi$
$942$	−56.1630	+	12.5538i	−1.82989	+	0.409026i
$943$	−12.8510	−	7.41952i	−0.418485	−	0.241613i
$944$	3.03070	+	27.0089i	0.0986410	+	0.879066i
$945$	−19.2015	+	42.7386i	−0.624624	+	1.39029i
$946$	−25.0479	−	4.25874i	−0.814377	−	0.138464i
$947$	−45.0321	+	12.0663i	−1.46335	+	0.392103i	−0.900644	−	0.434557i	$-0.856905\pi$
$947$	−45.0321	+	12.0663i	−1.46335	+	0.392103i	−0.562703	+	0.826659i	$0.690238\pi$
$948$	6.54376	−	7.25497i	0.212531	−	0.235631i
$949$	0.0620456	−	0.231557i	0.00201408	−	0.00751666i
$950$	−2.79868	−	29.8818i	−0.0908011	−	0.969494i
$951$	4.81594	−	35.3836i	0.156168	−	1.14739i
$952$	−7.52956	−	12.9836i	−0.244034	−	0.420802i
$953$	−7.91438			−0.256372			−0.128186	−	0.991750i	$-0.540915\pi$
$953$	−7.91438			−0.256372			−0.128186	+	0.991750i	$0.540915\pi$
$954$	−23.9897	−	4.29516i	−0.776696	−	0.139061i
$955$	−47.8167	−	12.8125i	−1.54731	−	0.414601i
$956$	−15.4736	+	2.92410i	−0.500451	+	0.0945722i
$957$	14.1677	−	1.80218i	0.457977	−	0.0582564i
$958$	15.8675	+	2.69786i	0.512655	+	0.0871638i
$959$	2.58156	+	1.54756i	0.0833629	+	0.0499732i
$960$	−43.0223	+	19.4732i	−1.38854	+	0.628496i
$961$	−8.16362	+	14.1398i	−0.263343	+	0.456123i
$962$	37.0425	−	13.7396i	1.19430	−	0.442984i
$963$	28.5686	−	48.4971i	0.920610	−	1.56280i
$964$	−24.2483	−	28.1901i	−0.780987	−	0.907942i
$965$	57.7962	+	57.7962i	1.86052	+	1.86052i
$966$	−9.90560	+	4.97305i	−0.318707	+	0.160005i
$967$			3.71172i			0.119361i	0.998218	+	0.0596804i	$0.0190082\pi$
$967$			3.71172i			0.119361i	−0.998218	+	0.0596804i	$0.980992\pi$
$968$	−4.57104	−	7.59192i	−0.146919	−	0.244014i
$969$	10.3147	−	4.21972i	0.331357	−	0.135557i
$970$	12.7055	+	5.83028i	0.407949	+	0.187199i
$971$	21.1039	−	5.65478i	0.677257	−	0.181470i	0.0962352	−	0.995359i	$-0.469320\pi$
$971$	21.1039	−	5.65478i	0.677257	−	0.181470i	0.581021	+	0.813888i	$0.302653\pi$
$972$	−7.04098	+	30.3714i	−0.225840	+	0.974165i
$973$	4.48376	−	15.6975i	0.143743	−	0.503238i
$974$	−6.12205	+	36.0069i	−0.196163	+	1.15374i
$975$	−45.0237	+	58.1475i	−1.44191	+	1.86221i
$976$	−6.77534	+	4.99566i	−0.216873	+	0.159907i
$977$	−35.9079	+	20.7314i	−1.14879	+	0.663257i	−0.948593	−	0.316498i	$-0.897493\pi$
$977$	−35.9079	+	20.7314i	−1.14879	+	0.663257i	−0.200201	+	0.979755i	$0.564160\pi$
$978$	−14.4179	+	13.2579i	−0.461034	+	0.423941i
$979$	5.42315	+	5.42315i	0.173324	+	0.173324i
$980$	−47.4362	−	5.13751i	−1.51529	−	0.164112i
$981$	13.4229	+	23.7262i	0.428560	+	0.757521i
$982$	3.49209	+	37.2854i	0.111437	+	1.18983i
$983$	31.9359	−	18.4382i	1.01860	−	0.588087i	0.104899	−	0.994483i	$-0.466548\pi$
$983$	31.9359	−	18.4382i	1.01860	−	0.588087i	0.913697	+	0.406396i	$0.133215\pi$
$984$	−26.3446	−	33.3567i	−0.839837	−	1.06337i
$985$	−10.3082	+	17.8543i	−0.328445	+	0.568884i
$986$	4.82455	+	6.80121i	0.153645	+	0.216595i
$987$	−43.4523	−	19.0669i	−1.38310	−	0.606907i
$988$	−13.6100	+	38.8668i	−0.432992	+	1.23652i
$989$	−10.5817	+	2.83535i	−0.336477	+	0.0901588i
$990$	40.4105	−	3.42833i	1.28433	−	0.108959i
$991$	22.8914	+	39.6490i	0.727168	+	1.25949i	0.958075	+	0.286517i	$0.0924974\pi$
$991$	22.8914	+	39.6490i	0.727168	+	1.25949i	−0.230907	+	0.972976i	$0.574169\pi$
$992$	4.41376	+	21.2143i	0.140137	+	0.673555i
$993$	−3.13694	+	23.0477i	−0.0995477	+	0.731396i
$994$	8.86552	−	47.4154i	0.281197	−	1.50393i
$995$	−45.7770	−	45.7770i	−1.45123	−	1.45123i
$996$	22.8010	−	14.7792i	0.722477	−	0.468296i
$997$	−9.57074	−	2.56447i	−0.303108	−	0.0812176i	0.104059	−	0.994571i	$-0.466817\pi$
$997$	−9.57074	−	2.56447i	−0.303108	−	0.0812176i	−0.407168	+	0.913353i	$0.633484\pi$
$998$	−38.1702	−	17.5155i	−1.20826	−	0.554444i
$999$	−18.1225	+	13.5317i	−0.573370	+	0.428123i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	336.2.bo.a.5.16	✓	240
3.2	odd	2	inner	336.2.bo.a.5.45	yes	240
7.3	odd	6	inner	336.2.bo.a.101.24	yes	240
16.13	even	4	inner	336.2.bo.a.173.37	yes	240
21.17	even	6	inner	336.2.bo.a.101.37	yes	240
48.29	odd	4	inner	336.2.bo.a.173.24	yes	240
112.45	odd	12	inner	336.2.bo.a.269.45	yes	240
336.269	even	12	inner	336.2.bo.a.269.16	yes	240

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
336.2.bo.a.5.16	✓	240	1.1	even	1	trivial
336.2.bo.a.5.45	yes	240	3.2	odd	2	inner
336.2.bo.a.101.24	yes	240	7.3	odd	6	inner
336.2.bo.a.101.37	yes	240	21.17	even	6	inner
336.2.bo.a.173.24	yes	240	48.29	odd	4	inner
336.2.bo.a.173.37	yes	240	16.13	even	4	inner
336.2.bo.a.269.16	yes	240	336.269	even	12	inner
336.2.bo.a.269.45	yes	240	112.45	odd	12	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:	\( N \)	\(=\)	\( 336 = 2^{4} \cdot 3 \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	336.bo (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.902393 + 1.08889i) q^{2} +(-0.669822 + 1.59729i) q^{3} +(-0.371375 - 1.96522i) q^{4} +(3.29199 - 0.882085i) q^{5} +(-1.13484 - 2.17075i) q^{6} +(-2.31271 + 1.28506i) q^{7} +(2.47504 + 1.36901i) q^{8} +(-2.10268 - 2.13980i) q^{9} +O(q^{10})\)	\(q+(-0.902393 + 1.08889i) q^{2} +(-0.669822 + 1.59729i) q^{3} +(-0.371375 - 1.96522i) q^{4} +(3.29199 - 0.882085i) q^{5} +(-1.13484 - 2.17075i) q^{6} +(-2.31271 + 1.28506i) q^{7} +(2.47504 + 1.36901i) q^{8} +(-2.10268 - 2.13980i) q^{9} +(-2.01017 + 4.38061i) q^{10} +(2.70922 + 0.725934i) q^{11} +(3.38778 + 0.723153i) q^{12} +(4.53845 + 4.53845i) q^{13} +(0.687681 - 3.67792i) q^{14} +(-0.796100 + 5.84910i) q^{15} +(-3.72416 + 1.45967i) q^{16} +(1.00283 + 1.73695i) q^{17} +(4.22745 - 0.358647i) q^{18} +(-3.09875 + 0.830307i) q^{19} +(-2.95605 - 6.14188i) q^{20} +(-0.503508 - 4.55483i) q^{21} +(-3.23525 + 2.29498i) q^{22} +(-0.855139 + 1.48114i) q^{23} +(-3.84454 + 3.03636i) q^{24} +(5.72897 - 3.30762i) q^{25} +(-9.03734 + 0.846421i) q^{26} +(4.82631 - 1.92530i) q^{27} +(3.38430 + 4.06774i) q^{28} +(-2.07878 - 2.07878i) q^{29} +(-5.65065 - 6.14505i) q^{30} +(-3.31731 + 1.91525i) q^{31} +(1.77124 - 5.37240i) q^{32} +(-2.97423 + 3.84117i) q^{33} +(-2.79630 - 0.475438i) q^{34} +(-6.47988 + 6.27040i) q^{35} +(-3.42430 + 4.92689i) q^{36} +(-4.20434 + 1.12655i) q^{37} +(1.89217 - 4.12347i) q^{38} +(-10.2892 + 4.20927i) q^{39} +(9.35537 + 2.32357i) q^{40} +8.67639i q^{41} +(5.41408 + 3.56198i) q^{42} +(4.52927 + 4.52927i) q^{43} +(0.420481 - 5.59381i) q^{44} +(-8.80947 - 5.18946i) q^{45} +(-0.841136 - 2.26773i) q^{46} +(5.17739 - 8.96750i) q^{47} +(0.163015 - 6.92629i) q^{48} +(3.69725 - 5.94393i) q^{49} +(-1.56813 + 9.22301i) q^{50} +(-3.44613 + 0.438361i) q^{51} +(7.23357 - 10.6045i) q^{52} +(-5.54861 - 1.48675i) q^{53} +(-2.25878 + 6.99270i) q^{54} +9.55907 q^{55} +(-7.48330 + 0.0144457i) q^{56} +(0.749369 - 5.50576i) q^{57} +(4.13944 - 0.387693i) q^{58} +(1.75857 - 6.56309i) q^{59} +(11.7904 - 0.607701i) q^{60} +(2.03278 - 0.544681i) q^{61} +(0.908015 - 5.34051i) q^{62} +(7.61265 + 2.24668i) q^{63} +(4.25162 + 6.77670i) q^{64} +(18.9438 + 10.9372i) q^{65} +(-1.49870 - 6.70486i) q^{66} +(-3.10476 - 0.831917i) q^{67} +(3.04106 - 2.61584i) q^{68} +(-1.79303 - 2.35801i) q^{69} +(-0.980402 - 12.7143i) q^{70} +12.8919 q^{71} +(-2.27479 - 8.17468i) q^{72} +(-0.0186751 - 0.0323462i) q^{73} +(2.56727 - 5.59466i) q^{74} +(1.44584 + 11.3664i) q^{75} +(2.78253 + 5.78136i) q^{76} +(-7.19852 + 1.80264i) q^{77} +(4.70143 - 15.0022i) q^{78} +(1.41020 - 2.44253i) q^{79} +(-10.9723 + 8.09023i) q^{80} +(-0.157508 + 8.99862i) q^{81} +(-9.44766 - 7.82951i) q^{82} +(5.54643 - 5.54643i) q^{83} +(-8.76424 + 2.68105i) q^{84} +(4.83344 + 4.83344i) q^{85} +(-9.01907 + 0.844710i) q^{86} +(4.71282 - 1.92800i) q^{87} +(5.71162 + 5.50567i) q^{88} +(2.36808 + 1.36721i) q^{89} +(13.6004 - 4.90964i) q^{90} +(-16.3283 - 4.66394i) q^{91} +(3.22835 + 1.13047i) q^{92} +(-0.837203 - 6.58159i) q^{93} +(5.09261 + 13.7298i) q^{94} +(-9.46864 + 5.46672i) q^{95} +(7.39488 + 6.42773i) q^{96} -2.90039i q^{97} +(3.13594 + 9.38967i) q^{98} +(-4.14326 - 7.32361i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 240 q - 6 q^{3} - 4 q^{4}+O(q^{10}) \) 240 * q - 6 * q^3 - 4 * q^4	\( 240 q - 6 q^{3} - 4 q^{4} - 12 q^{10} - 6 q^{12} - 16 q^{15} - 20 q^{16} - 4 q^{18} - 12 q^{19} + 2 q^{21} - 40 q^{22} - 6 q^{24} - 12 q^{28} + 22 q^{30} - 24 q^{31} - 12 q^{33} - 64 q^{36} - 4 q^{37} + 48 q^{40} - 18 q^{42} - 16 q^{43} - 6 q^{45} + 12 q^{46} - 16 q^{49} - 10 q^{51} - 48 q^{52} - 90 q^{54} - 4 q^{58} - 18 q^{60} - 12 q^{61} - 36 q^{63} + 32 q^{64} - 66 q^{66} - 36 q^{67} - 76 q^{70} - 46 q^{72} + 24 q^{75} - 76 q^{78} - 8 q^{79} - 4 q^{81} + 72 q^{82} - 24 q^{84} + 24 q^{85} + 12 q^{88} - 88 q^{91} - 14 q^{93} + 24 q^{94} + 96 q^{96} + 28 q^{99}+O(q^{100}) \) 240 * q - 6 * q^3 - 4 * q^4 - 12 * q^10 - 6 * q^12 - 16 * q^15 - 20 * q^16 - 4 * q^18 - 12 * q^19 + 2 * q^21 - 40 * q^22 - 6 * q^24 - 12 * q^28 + 22 * q^30 - 24 * q^31 - 12 * q^33 - 64 * q^36 - 4 * q^37 + 48 * q^40 - 18 * q^42 - 16 * q^43 - 6 * q^45 + 12 * q^46 - 16 * q^49 - 10 * q^51 - 48 * q^52 - 90 * q^54 - 4 * q^58 - 18 * q^60 - 12 * q^61 - 36 * q^63 + 32 * q^64 - 66 * q^66 - 36 * q^67 - 76 * q^70 - 46 * q^72 + 24 * q^75 - 76 * q^78 - 8 * q^79 - 4 * q^81 + 72 * q^82 - 24 * q^84 + 24 * q^85 + 12 * q^88 - 88 * q^91 - 14 * q^93 + 24 * q^94 + 96 * q^96 + 28 * q^99

Introduction

L-functions

Modular forms

Varieties

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Database

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