LMFDB - Embedded newform 196.2.p.a.59.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [196,2,Mod(3,196)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(196, base_ring=CyclotomicField(42))

chi = DirichletCharacter(H, H._module([21, 1]))

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

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

chi := DirichletCharacter("196.3");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 196 = 2^{2} \cdot 7^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	196.p (of order $42$, degree $12$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$1.56506787962$
Analytic rank:	$0$
Dimension:	$312$
Relative dimension:	$26$ over $\Q(\zeta_{42})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label			59.1
Character	$\chi$	$=$	196.59
Dual form			196.2.p.a.103.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-1.41417 + 0.0104853i) q^{2} +(-1.15179 + 0.785275i) q^{3} +(1.99978 - 0.0296562i) q^{4} +(2.72463 - 0.204183i) q^{5} +(1.62059 - 1.12259i) q^{6} +(-1.69335 - 2.03287i) q^{7} +(-2.82773 + 0.0629074i) q^{8} +(-0.386067 + 0.983684i) q^{9} +(-3.85097 + 0.317319i) q^{10} +(4.00653 - 1.57245i) q^{11} +(-2.28003 + 1.60453i) q^{12} +(2.14265 + 1.70870i) q^{13} +(2.41601 + 2.85708i) q^{14} +(-2.97786 + 2.37476i) q^{15} +(3.99824 - 0.118612i) q^{16} +(2.62031 - 2.82402i) q^{17} +(0.535652 - 1.39515i) q^{18} +(3.33091 + 5.76930i) q^{19} +(5.44261 - 0.489123i) q^{20} +(3.54674 + 1.01169i) q^{21} +(-5.64944 + 2.26572i) q^{22} +(3.71540 + 4.00425i) q^{23} +(3.20754 - 2.29300i) q^{24} +(2.43778 - 0.367436i) q^{25} +(-3.04799 - 2.39394i) q^{26} +(-1.25839 - 5.51335i) q^{27} +(-3.44662 - 4.01507i) q^{28} +(0.688317 - 3.01572i) q^{29} +(4.18631 - 3.38955i) q^{30} +(-1.69507 + 2.93595i) q^{31} +(-5.65297 + 0.209661i) q^{32} +(-3.37986 + 4.95735i) q^{33} +(-3.67596 + 4.02113i) q^{34} +(-5.02884 - 5.19307i) q^{35} +(-0.742878 + 1.97860i) q^{36} +(-7.82638 + 2.41412i) q^{37} +(-4.77098 - 8.12387i) q^{38} +(-3.80968 - 0.285496i) q^{39} +(-7.69167 + 0.748773i) q^{40} +(3.34988 - 6.95609i) q^{41} +(-5.02632 - 1.39351i) q^{42} +(-1.60718 - 3.33735i) q^{43} +(7.96554 - 3.26336i) q^{44} +(-0.851040 + 2.75900i) q^{45} +(-5.29621 - 5.62375i) q^{46} +(8.45195 + 1.27393i) q^{47} +(-4.51198 + 3.27633i) q^{48} +(-1.26512 + 6.88473i) q^{49} +(-3.44359 + 0.545179i) q^{50} +(-0.800404 + 5.31033i) q^{51} +(4.33550 + 3.35349i) q^{52} +(-8.59728 - 2.65191i) q^{53} +(1.83739 + 7.78364i) q^{54} +(10.5952 - 5.10240i) q^{55} +(4.91622 + 5.64188i) q^{56} +(-8.36698 - 4.02932i) q^{57} +(-0.941780 + 4.27197i) q^{58} +(0.523373 - 6.98392i) q^{59} +(-5.88463 + 4.83731i) q^{60} +(-0.0465563 - 0.150932i) q^{61} +(2.36634 - 4.16972i) q^{62} +(2.65345 - 0.880897i) q^{63} +(7.99209 - 0.355770i) q^{64} +(6.18682 + 4.21810i) q^{65} +(4.72774 - 7.04599i) q^{66} +(-6.28567 - 3.62903i) q^{67} +(5.15629 - 5.72513i) q^{68} +(-7.42378 - 1.69443i) q^{69} +(7.16611 + 7.29118i) q^{70} +(-12.7285 + 2.90520i) q^{71} +(1.02981 - 2.80588i) q^{72} +(-0.397777 - 2.63908i) q^{73} +(11.0426 - 3.49605i) q^{74} +(-2.51926 + 2.33753i) q^{75} +(6.83218 + 11.4385i) q^{76} +(-9.98104 - 5.48204i) q^{77} +(5.39054 + 0.363795i) q^{78} +(-4.28618 + 2.47463i) q^{79} +(10.8695 - 1.13955i) q^{80} +(3.45496 + 3.20574i) q^{81} +(-4.66438 + 9.87226i) q^{82} +(-1.47572 - 1.85050i) q^{83} +(7.12270 + 1.91797i) q^{84} +(6.56276 - 8.22944i) q^{85} +(2.30783 + 4.70274i) q^{86} +(1.57537 + 4.01398i) q^{87} +(-11.2304 + 4.69849i) q^{88} +(-3.44049 - 1.35029i) q^{89} +(1.17459 - 3.91064i) q^{90} +(-0.154682 - 7.24916i) q^{91} +(7.54873 + 7.89743i) q^{92} +(-0.353166 - 4.71268i) q^{93} +(-11.9659 - 1.71293i) q^{94} +(10.2535 + 15.0391i) q^{95} +(6.34637 - 4.68062i) q^{96} +10.7894i q^{97} +(1.71691 - 9.74947i) q^{98} +4.54822i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 312 q - 13 q^{2} - 13 q^{4} - 22 q^{5} - 14 q^{6} - 4 q^{8} - 4 q^{9} - 20 q^{10} + 9 q^{12} - 28 q^{13} - 51 q^{14} - 17 q^{16} - 22 q^{17} - 12 q^{18} - 14 q^{20} - 34 q^{21} - 18 q^{22} - 44 q^{24} - 48 q^{25}+ \cdots + 183 q^{98}+O(q^{100}) $ 312 * q - 13 * q^2 - 13 * q^4 - 22 * q^5 - 14 * q^6 - 4 * q^8 - 4 * q^9 - 20 * q^10 + 9 * q^12 - 28 * q^13 - 51 * q^14 - 17 * q^16 - 22 * q^17 - 12 * q^18 - 14 * q^20 - 34 * q^21 - 18 * q^22 - 44 * q^24 - 48 * q^25 - 2 * q^26 - 36 * q^28 - 11 * q^30 - 13 * q^32 - 34 * q^33 - 98 * q^34 - 4 * q^36 - 58 * q^37 - 18 * q^38 + 30 * q^40 - 28 * q^41 - 26 * q^42 + 16 * q^44 - 28 * q^45 - 14 * q^46 - 24 * q^49 + 96 * q^50 - 14 * q^52 - 22 * q^53 - 17 * q^54 + 40 * q^56 + 34 * q^57 - 12 * q^58 + 98 * q^60 - 38 * q^61 - 4 * q^64 - 32 * q^65 - 176 * q^66 - 21 * q^68 + 28 * q^69 + 50 * q^70 - 120 * q^72 - 58 * q^73 - 14 * q^74 - 91 * q^76 - 18 * q^77 - 112 * q^78 + 66 * q^80 - 170 * q^81 + 114 * q^82 + 140 * q^84 - 24 * q^85 + 97 * q^86 + 127 * q^88 - 82 * q^89 + 266 * q^90 + 34 * q^92 + 226 * q^94 + 122 * q^96 + 183 * q^98

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/196\mathbb{Z}\right)^\times$.

$n$	$99$	$101$
$\chi(n)$	$-1$	$e\left(\frac{13}{42}\right)$

Coefficient data

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

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

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

$2$	−1.41417	+	0.0104853i	−0.999973	+	0.00741425i
$2$	−1.41417	+	0.0104853i	−0.999973	+	0.00741425i
$3$	−1.15179	+	0.785275i	−0.664984	+	0.453379i	−0.848187	−	0.529697i	$-0.822306\pi$
$3$	−1.15179	+	0.785275i	−0.664984	+	0.453379i	0.183203	+	0.983075i	$0.441353\pi$
$4$	1.99978	−	0.0296562i	0.999890	−	0.0148281i
$5$	2.72463	−	0.204183i	1.21849	−	0.0913134i	0.550085	−	0.835109i	$-0.314595\pi$
$5$	2.72463	−	0.204183i	1.21849	−	0.0913134i	0.668408	+	0.743795i	$0.266976\pi$
$6$	1.62059	−	1.12259i	0.661605	−	0.458296i
$7$	−1.69335	−	2.03287i	−0.640027	−	0.768353i
$7$	−1.69335	−	2.03287i	−0.640027	−	0.768353i
$8$	−2.82773	+	0.0629074i	−0.999753	+	0.0222411i
$9$	−0.386067	+	0.983684i	−0.128689	+	0.327895i
$10$	−3.85097	+	0.317319i	−1.21778	+	0.100345i
$11$	4.00653	−	1.57245i	1.20801	−	0.474110i	0.326016	−	0.945364i	$-0.394294\pi$
$11$	4.00653	−	1.57245i	1.20801	−	0.474110i	0.881998	+	0.471254i	$0.156198\pi$
$12$	−2.28003	+	1.60453i	−0.658188	+	0.463189i
$13$	2.14265	+	1.70870i	0.594264	+	0.473909i	0.873840	−	0.486214i	$-0.161622\pi$
$13$	2.14265	+	1.70870i	0.594264	+	0.473909i	−0.279576	+	0.960124i	$0.590194\pi$
$14$	2.41601	+	2.85708i	0.645706	+	0.763586i
$15$	−2.97786	+	2.37476i	−0.768879	+	0.613160i
$16$	3.99824	−	0.118612i	0.999560	−	0.0296529i
$17$	2.62031	−	2.82402i	0.635518	−	0.684926i	−0.330380	−	0.943848i	$-0.607177\pi$
$17$	2.62031	−	2.82402i	0.635518	−	0.684926i	0.965898	+	0.258922i	$0.0833674\pi$
$18$	0.535652	−	1.39515i	0.126254	−	0.328840i
$19$	3.33091	+	5.76930i	0.764162	+	1.32357i	0.940688	+	0.339272i	$0.110181\pi$
$19$	3.33091	+	5.76930i	0.764162	+	1.32357i	−0.176526	+	0.984296i	$0.556486\pi$
$20$	5.44261	−	0.489123i	1.21700	−	0.109371i
$21$	3.54674	+	1.01169i	0.773962	+	0.220768i
$22$	−5.64944	+	2.26572i	−1.20446	+	0.483054i
$23$	3.71540	+	4.00425i	0.774714	+	0.834943i	0.989920	−	0.141625i	$-0.0452328\pi$
$23$	3.71540	+	4.00425i	0.774714	+	0.834943i	−0.215206	+	0.976569i	$0.569042\pi$
$24$	3.20754	−	2.29300i	0.654736	−	0.468056i
$25$	2.43778	−	0.367436i	0.487556	−	0.0734872i
$26$	−3.04799	−	2.39394i	−0.597761	−	0.469490i
$27$	−1.25839	−	5.51335i	−0.242176	−	1.06104i
$28$	−3.44662	−	4.01507i	−0.651350	−	0.758778i
$29$	0.688317	−	3.01572i	0.127817	−	0.560004i	−0.869945	−	0.493148i	$-0.835846\pi$
$29$	0.688317	−	3.01572i	0.127817	−	0.560004i	0.997763	−	0.0668560i	$-0.0212968\pi$
$30$	4.18631	−	3.38955i	0.764312	−	0.618844i
$31$	−1.69507	+	2.93595i	−0.304444	+	0.527312i	−0.977137	−	0.212609i	$-0.931804\pi$
$31$	−1.69507	+	2.93595i	−0.304444	+	0.527312i	0.672694	+	0.739921i	$0.265137\pi$
$32$	−5.65297	+	0.209661i	−0.999313	+	0.0370631i
$33$	−3.37986	+	4.95735i	−0.588358	+	0.862963i
$34$	−3.67596	+	4.02113i	−0.630422	+	0.689619i
$35$	−5.02884	−	5.19307i	−0.850029	−	0.877789i
$36$	−0.742878	+	1.97860i	−0.123813	+	0.329767i
$37$	−7.82638	+	2.41412i	−1.28665	+	0.396879i	−0.861275	−	0.508139i	$-0.830334\pi$
$37$	−7.82638	+	2.41412i	−1.28665	+	0.396879i	−0.425374	+	0.905018i	$0.639857\pi$
$38$	−4.77098	−	8.12387i	−0.773955	−	1.31787i
$39$	−3.80968	−	0.285496i	−0.610036	−	0.0457159i
$40$	−7.69167	+	0.748773i	−1.21616	+	0.118391i
$41$	3.34988	−	6.95609i	0.523163	−	1.08636i	−0.457237	−	0.889345i	$-0.651161\pi$
$41$	3.34988	−	6.95609i	0.523163	−	1.08636i	0.980401	−	0.197015i	$-0.0631247\pi$
$42$	−5.02632	−	1.39351i	−0.775578	−	0.215024i
$43$	−1.60718	−	3.33735i	−0.245093	−	0.508940i	0.741739	−	0.670688i	$-0.234001\pi$
$43$	−1.60718	−	3.33735i	−0.245093	−	0.508940i	−0.986832	+	0.161748i	$0.948287\pi$
$44$	7.96554	−	3.26336i	1.20085	−	0.491971i
$45$	−0.851040	+	2.75900i	−0.126866	+	0.411288i
$46$	−5.29621	−	5.62375i	−0.780883	−	0.829176i
$47$	8.45195	+	1.27393i	1.23284	+	0.185821i	0.732960	−	0.680271i	$-0.238138\pi$
$47$	8.45195	+	1.27393i	1.23284	+	0.185821i	0.499883	+	0.866093i	$0.333376\pi$
$48$	−4.51198	+	3.27633i	−0.651248	+	0.472898i
$49$	−1.26512	+	6.88473i	−0.180732	+	0.983532i
$50$	−3.44359	+	0.545179i	−0.486997	+	0.0771000i
$51$	−0.800404	+	5.31033i	−0.112079	+	0.743595i
$52$	4.33550	+	3.35349i	0.601225	+	0.465046i
$53$	−8.59728	−	2.65191i	−1.18093	−	0.364268i	−0.358714	−	0.933447i	$-0.616785\pi$
$53$	−8.59728	−	2.65191i	−1.18093	−	0.364268i	−0.822213	+	0.569179i	$0.807261\pi$
$54$	1.83739	+	7.78364i	0.250036	+	1.05922i
$55$	10.5952	−	5.10240i	1.42866	−	0.688008i
$56$	4.91622	+	5.64188i	0.656957	+	0.753928i
$57$	−8.36698	−	4.02932i	−1.10823	−	0.533697i
$58$	−0.941780	+	4.27197i	−0.123662	+	0.560937i
$59$	0.523373	−	6.98392i	0.0681373	−	0.909229i	−0.853479	−	0.521127i	$-0.825512\pi$
$59$	0.523373	−	6.98392i	0.0681373	−	0.909229i	0.921616	−	0.388102i	$-0.126869\pi$
$60$	−5.88463	+	4.83731i	−0.759702	+	0.624494i
$61$	−0.0465563	−	0.150932i	−0.00596093	−	0.0193248i	0.952543	−	0.304403i	$-0.0984568\pi$
$61$	−0.0465563	−	0.150932i	−0.00596093	−	0.0193248i	−0.958504	+	0.285078i	$0.907981\pi$
$62$	2.36634	−	4.16972i	0.300526	−	0.529554i
$63$	2.65345	−	0.880897i	0.334303	−	0.110983i
$64$	7.99209	−	0.355770i	0.999011	−	0.0444712i
$65$	6.18682	+	4.21810i	0.767380	+	0.523191i
$66$	4.72774	−	7.04599i	0.581944	−	0.867302i
$67$	−6.28567	−	3.62903i	−0.767917	−	0.443357i	0.0642143	−	0.997936i	$-0.479546\pi$
$67$	−6.28567	−	3.62903i	−0.767917	−	0.443357i	−0.832131	+	0.554579i	$0.812879\pi$
$68$	5.15629	−	5.72513i	0.625292	−	0.694274i
$69$	−7.42378	−	1.69443i	−0.893718	−	0.203985i
$70$	7.16611	+	7.29118i	0.856514	+	0.871463i
$71$	−12.7285	+	2.90520i	−1.51059	+	0.344783i	−0.895998	−	0.444058i	$-0.853538\pi$
$71$	−12.7285	+	2.90520i	−1.51059	+	0.344783i	−0.614597	+	0.788841i	$0.710681\pi$
$72$	1.02981	−	2.80588i	0.121365	−	0.330676i
$73$	−0.397777	−	2.63908i	−0.0465563	−	0.308881i	−0.999974	−	0.00722712i	$-0.997700\pi$
$73$	−0.397777	−	2.63908i	−0.0465563	−	0.308881i	0.953418	−	0.301654i	$-0.0975386\pi$
$74$	11.0426	−	3.49605i	1.28367	−	0.406407i
$75$	−2.51926	+	2.33753i	−0.290899	+	0.269915i
$76$	6.83218	+	11.4385i	0.783704	+	1.31209i
$77$	−9.98104	−	5.48204i	−1.13744	−	0.624737i
$78$	5.39054	+	0.363795i	0.610359	+	0.0411917i
$79$	−4.28618	+	2.47463i	−0.482233	+	0.278417i	−0.721346	−	0.692574i	$-0.756476\pi$
$79$	−4.28618	+	2.47463i	−0.482233	+	0.278417i	0.239114	+	0.970992i	$0.423143\pi$
$80$	10.8695	−	1.13955i	1.21525	−	0.127405i
$81$	3.45496	+	3.20574i	0.383885	+	0.356193i
$82$	−4.66438	+	9.87226i	−0.515094	+	1.09021i
$83$	−1.47572	−	1.85050i	−0.161982	−	0.203118i	0.694216	−	0.719766i	$-0.255751\pi$
$83$	−1.47572	−	1.85050i	−0.161982	−	0.203118i	−0.856198	+	0.516648i	$0.827180\pi$
$84$	7.12270	+	1.91797i	0.777151	+	0.209267i
$85$	6.56276	−	8.22944i	0.711831	−	0.892608i
$86$	2.30783	+	4.70274i	0.248859	+	0.507109i
$87$	1.57537	+	4.01398i	0.168897	+	0.430344i
$88$	−11.2304	+	4.69849i	−1.19717	+	0.500861i
$89$	−3.44049	−	1.35029i	−0.364691	−	0.143131i	0.175918	−	0.984405i	$-0.443711\pi$
$89$	−3.44049	−	1.35029i	−0.364691	−	0.143131i	−0.540609	+	0.841274i	$0.681806\pi$
$90$	1.17459	−	3.91064i	0.123813	−	0.412217i
$91$	−0.154682	−	7.24916i	−0.0162150	−	0.759919i
$92$	7.54873	+	7.89743i	0.787010	+	0.823364i
$93$	−0.353166	−	4.71268i	−0.0366217	−	0.488682i
$94$	−11.9659	−	1.71293i	−1.23419	−	0.176676i
$95$	10.2535	+	15.0391i	1.05199	+	1.54298i
$96$	6.34637	−	4.68062i	0.647724	−	0.477713i
$97$			10.7894i			1.09550i	0.836642	+	0.547750i	$0.184515\pi$
$97$			10.7894i			1.09550i	−0.836642	+	0.547750i	$0.815485\pi$
$98$	1.71691	−	9.74947i	0.173434	−	0.984845i
$99$			4.54822i			0.457114i
$100$	4.86412	−	0.807086i	0.486412	−	0.0807086i
$101$	3.06979	+	4.50256i	0.305456	+	0.448021i	0.948020	−	0.318210i	$-0.103082\pi$
$101$	3.06979	+	4.50256i	0.305456	+	0.448021i	−0.642564	+	0.766232i	$0.722129\pi$
$102$	1.07623	−	7.51813i	0.106563	−	0.744406i
$103$	−0.794034	−	10.5956i	−0.0782385	−	1.04402i	−0.888779	−	0.458337i	$-0.848445\pi$
$103$	−0.794034	−	10.5956i	−0.0782385	−	1.04402i	0.810540	−	0.585683i	$-0.199174\pi$
$104$	−6.16631	−	4.69696i	−0.604657	−	0.460575i
$105$	9.87013	+	2.03229i	0.963227	+	0.198331i
$106$	12.1859	+	3.66012i	1.18360	+	0.355502i
$107$	1.53262	+	0.601508i	0.148164	+	0.0581500i	0.438264	−	0.898846i	$-0.355593\pi$
$107$	1.53262	+	0.601508i	0.148164	+	0.0581500i	−0.290100	+	0.956996i	$0.593689\pi$
$108$	−2.68000	−	10.9882i	−0.257883	−	1.05734i
$109$	−4.36802	−	11.1295i	−0.418380	−	1.06602i	−0.972360	−	0.233486i	$-0.924987\pi$
$109$	−4.36802	−	11.1295i	−0.418380	−	1.06602i	0.553980	−	0.832530i	$-0.313108\pi$
$110$	−14.9300	+	7.32678i	−1.42352	+	0.698581i
$111$	7.11857	−	8.92641i	0.675665	−	0.847257i
$112$	−7.01155	−	7.92705i	−0.662529	−	0.749036i
$113$	10.6158	+	13.3118i	0.998652	+	1.25227i	0.967530	+	0.252755i	$0.0813366\pi$
$113$	10.6158	+	13.3118i	0.998652	+	1.25227i	0.0311220	+	0.999516i	$0.490092\pi$
$114$	11.8746	+	5.61044i	1.11216	+	0.525466i
$115$	10.9407	+	10.1515i	1.02023	+	0.946631i
$116$	1.28705	−	6.05118i	0.119499	−	0.561838i
$117$	−2.50803	+	1.44801i	−0.231868	+	0.133869i
$118$	−0.666912	+	9.88197i	−0.0613942	+	0.909709i
$119$	−10.1780	−	0.544686i	−0.933013	−	0.0499313i
$120$	8.27117	−	6.90250i	0.755051	−	0.630110i
$121$	5.51610	−	5.11819i	0.501464	−	0.465290i
$122$	0.0674213	+	0.212956i	0.00610404	+	0.0192801i
$123$	1.60410	+	10.6425i	0.144637	+	0.959603i
$124$	−3.30270	+	5.92152i	−0.296591	+	0.531768i
$125$	−6.75182	+	1.54106i	−0.603901	+	0.137836i
$126$	−3.74320	+	1.27357i	−0.333471	+	0.113458i
$127$	−7.18201	−	1.63925i	−0.637301	−	0.145460i	−0.108351	−	0.994113i	$-0.534557\pi$
$127$	−7.18201	−	1.63925i	−0.637301	−	0.145460i	−0.528950	+	0.848653i	$0.677414\pi$
$128$	−11.2985	+	0.586920i	−0.998653	+	0.0518769i
$129$	4.47186	+	2.58183i	0.393726	+	0.227318i
$130$	−8.79347	−	5.90026i	−0.771238	−	0.517487i
$131$	0.525900	+	0.358553i	0.0459481	+	0.0313269i	0.586076	−	0.810256i	$-0.300672\pi$
$131$	0.525900	+	0.358553i	0.0459481	+	0.0313269i	−0.540128	+	0.841583i	$0.681624\pi$
$132$	−6.61196	+	10.0138i	−0.575498	+	0.871593i
$133$	6.08784	−	16.5408i	0.527883	−	1.43427i
$134$	8.92708	+	5.06618i	0.771183	+	0.437651i
$135$	−4.55437	−	14.7649i	−0.391978	−	1.27076i
$136$	−7.23187	+	8.15040i	−0.620127	+	0.698891i
$137$	−1.03241	+	13.7766i	−0.0882050	+	1.17701i	0.760929	+	0.648836i	$0.224744\pi$
$137$	−1.03241	+	13.7766i	−0.0882050	+	1.17701i	−0.849134	+	0.528178i	$0.822875\pi$
$138$	10.5163	+	2.31838i	0.895206	+	0.197353i
$139$	8.25148	+	3.97370i	0.699882	+	0.337045i	0.749760	−	0.661710i	$-0.230169\pi$
$139$	8.25148	+	3.97370i	0.699882	+	0.337045i	−0.0498782	+	0.998755i	$0.515883\pi$
$140$	−10.2106	−	10.2359i	−0.862951	−	0.865088i
$141$	−10.7352	+	5.16981i	−0.904069	+	0.435377i
$142$	17.9699	−	4.24192i	1.50800	−	0.355974i
$143$	11.2714	+	3.47677i	0.942564	+	0.290742i
$144$	−1.42691	+	3.97880i	−0.118909	+	0.331566i
$145$	1.25965	−	8.35726i	0.104609	−	0.694033i
$146$	0.590198	+	3.72795i	0.0488451	+	0.308527i
$147$	−3.94925	−	8.92320i	−0.325729	−	0.735973i
$148$	−15.5794	+	5.05981i	−1.28062	+	0.415914i
$149$	−13.9613	−	2.10433i	−1.14375	−	0.172393i	−0.450289	−	0.892883i	$-0.648679\pi$
$149$	−13.9613	−	2.10433i	−1.14375	−	0.172393i	−0.693466	+	0.720490i	$0.743917\pi$
$150$	3.53817	−	3.33210i	0.288890	−	0.272064i
$151$	−2.55417	+	8.28041i	−0.207855	+	0.673850i	0.790276	+	0.612750i	$0.209937\pi$
$151$	−2.55417	+	8.28041i	−0.207855	+	0.673850i	−0.998132	+	0.0610995i	$0.980539\pi$
$152$	−9.78183	−	16.1045i	−0.793411	−	1.30624i
$153$	1.76633	+	3.66782i	0.142799	+	0.296525i
$154$	14.1724	+	7.64791i	1.14205	+	0.616286i
$155$	−4.01897	+	8.34548i	−0.322812	+	0.670325i
$156$	−7.62698	−	0.457948i	−0.610647	−	0.0366652i
$157$	−6.60571	−	0.495030i	−0.527193	−	0.0395077i	−0.191525	−	0.981488i	$-0.561343\pi$
$157$	−6.60571	−	0.495030i	−0.527193	−	0.0395077i	−0.335669	+	0.941980i	$0.608962\pi$
$158$	6.03546	−	3.54449i	0.480155	−	0.281985i
$159$	11.9847	−	3.69679i	0.950450	−	0.293175i
$160$	−15.3595	+	1.72549i	−1.21427	+	0.136412i
$161$	1.84864	−	14.3335i	0.145693	−	1.12964i
$162$	−4.91954	−	4.49725i	−0.386515	−	0.353337i
$163$	−11.4752	+	16.8310i	−0.898804	+	1.31830i	0.0487848	+	0.998809i	$0.484465\pi$
$163$	−11.4752	+	16.8310i	−0.898804	+	1.31830i	−0.947588	+	0.319494i	$0.896487\pi$
$164$	6.49273	−	14.0100i	0.506997	−	1.09400i
$165$	−8.19667	+	14.1971i	−0.638110	+	1.10524i
$166$	2.10633	+	2.60145i	0.163483	+	0.201912i
$167$	3.22571	−	14.1328i	0.249613	−	1.09363i	−0.682337	−	0.731038i	$-0.739036\pi$
$167$	3.22571	−	14.1328i	0.249613	−	1.09363i	0.931950	−	0.362588i	$-0.118107\pi$
$168$	−10.0929	−	2.63766i	−0.778681	−	0.203500i
$169$	−1.22150	−	5.35176i	−0.0939618	−	0.411674i
$170$	−9.19460	+	11.7067i	−0.705194	+	0.897861i
$171$	−6.96112	+	1.04922i	−0.532330	+	0.0802359i
$172$	−3.31298	−	6.62629i	−0.252612	−	0.505250i
$173$	7.79927	+	8.40561i	0.592967	+	0.639067i	0.956229	−	0.292621i	$-0.0945273\pi$
$173$	7.79927	+	8.40561i	0.592967	+	0.639067i	−0.363261	+	0.931687i	$0.618337\pi$
$174$	−2.26994	−	5.65995i	−0.172083	−	0.429080i
$175$	−4.87496	−	4.33349i	−0.368513	−	0.327581i
$176$	15.8325	−	6.76224i	1.19342	−	0.509723i
$177$	4.88148	+	8.45498i	0.366915	+	0.635515i
$178$	4.87961	+	1.87347i	0.365742	+	0.140423i
$179$	10.4314	−	11.2424i	0.779680	−	0.840295i	−0.210861	−	0.977516i	$-0.567627\pi$
$179$	10.4314	−	11.2424i	0.779680	−	0.840295i	0.990540	+	0.137221i	$0.0438171\pi$
$180$	−1.62007	+	5.54264i	−0.120753	+	0.413124i
$181$	11.4199	−	9.10704i	0.848832	−	0.676921i	−0.0992095	−	0.995067i	$-0.531631\pi$
$181$	11.4199	−	9.10704i	0.848832	−	0.676921i	0.948042	+	0.318145i	$0.103060\pi$
$182$	0.294757	+	10.2500i	0.0218488	+	0.759778i
$183$	0.172146	+	0.137282i	0.0127254	+	0.0101482i
$184$	−10.7580	−	11.0892i	−0.793093	−	0.817506i
$185$	−20.8311	+	8.17560i	−1.53153	+	0.601082i
$186$	0.548853	+	6.66085i	0.0402439	+	0.488397i
$187$	6.05772	−	15.4348i	0.442984	−	1.12870i
$188$	16.9398	+	2.29692i	1.23546	+	0.167520i
$189$	−9.07703	+	11.8942i	−0.660256	+	0.865173i
$190$	−14.6579	−	21.1604i	−1.06340	−	1.53514i
$191$	−14.2654	+	1.06904i	−1.03221	+	0.0773533i	−0.580047	−	0.814583i	$-0.696966\pi$
$191$	−14.2654	+	1.06904i	−1.03221	+	0.0773533i	−0.452161	+	0.891936i	$0.649347\pi$
$192$	−8.92580	+	6.68575i	−0.644164	+	0.482503i
$193$	19.6419	−	13.3916i	1.41385	−	0.963949i	0.415328	−	0.909672i	$-0.363667\pi$
$193$	19.6419	−	13.3916i	1.41385	−	0.963949i	0.998526	−	0.0542779i	$-0.0172857\pi$
$194$	−0.113131	−	15.2581i	−0.00812231	−	1.09547i
$195$	−10.4383			−0.747499
$196$	−2.32579	+	13.8055i	−0.166128	+	0.986104i
$197$	−16.1699			−1.15205			−0.576027	−	0.817431i	$-0.695398\pi$
$197$	−16.1699			−1.15205			−0.576027	+	0.817431i	$0.695398\pi$
$198$	−0.0476896	−	6.43198i	−0.00338916	−	0.457101i
$199$	−11.4152	+	7.78278i	−0.809205	+	0.551706i	−0.895759	−	0.444541i	$-0.853367\pi$
$199$	−11.4152	+	7.78278i	−0.809205	+	0.551706i	0.0865540	+	0.996247i	$0.472415\pi$
$200$	−6.87026	+	1.19236i	−0.485801	+	0.0843128i
$201$	10.0895	−	0.756106i	0.711661	−	0.0533316i
$202$	−4.38843	−	6.33522i	−0.308769	−	0.445744i
$203$	−7.29612	+	3.70741i	−0.512087	+	0.260209i
$204$	−1.44315	+	10.6432i	−0.101040	+	0.745175i
$205$	7.70687	−	19.6368i	0.538271	−	1.37149i
$206$	1.23400	+	14.9758i	0.0859769	+	1.04341i
$207$	−5.37331	+	2.10887i	−0.373471	+	0.146576i
$208$	8.76950	+	6.57767i	0.608055	+	0.456079i
$209$	22.4173	+	17.8772i	1.55064	+	1.23659i
$210$	−13.9794	−	2.77052i	−0.964671	−	0.191184i
$211$	9.66609	−	7.70845i	0.665441	−	0.530672i	−0.231493	−	0.972837i	$-0.574361\pi$
$211$	9.66609	−	7.70845i	0.665441	−	0.530672i	0.896934	+	0.442165i	$0.145789\pi$
$212$	−17.2713	−	5.04828i	−1.18620	−	0.346717i
$213$	12.3791	−	13.3415i	0.848204	−	0.914147i
$214$	−2.17369	−	0.834567i	−0.148591	−	0.0570498i
$215$	−5.06041	−	8.76488i	−0.345117	−	0.597760i
$216$	3.90520	+	15.5111i	0.265715	+	1.05540i
$217$	8.83875	−	1.52573i	0.600013	−	0.103574i
$218$	6.29384	+	15.6933i	0.426272	+	1.06288i
$219$	2.53055	+	2.72729i	0.170999	+	0.184293i
$220$	21.0368	−	10.5179i	1.41830	−	0.709116i
$221$	10.4398	−	1.57355i	0.702258	−	0.105848i
$222$	−9.97331	+	12.6981i	−0.669365	+	0.852244i
$223$	2.40140	+	10.5212i	0.160809	+	0.704552i	0.989462	+	0.144790i	$0.0462506\pi$
$223$	2.40140	+	10.5212i	0.160809	+	0.704552i	−0.828653	+	0.559763i	$0.810892\pi$
$224$	9.99867	+	11.1367i	0.668065	+	0.744103i
$225$	−0.579706	+	2.53986i	−0.0386471	+	0.169324i
$226$	−15.1522	−	18.7139i	−1.00791	−	1.24483i
$227$	0.437189	−	0.757233i	0.0290172	−	0.0502593i	−0.851152	−	0.524919i	$-0.824096\pi$
$227$	0.437189	−	0.757233i	0.0290172	−	0.0502593i	0.880169	+	0.474660i	$0.157429\pi$
$228$	−16.8516	−	7.80963i	−1.11603	−	0.517205i
$229$	0.608079	−	0.891888i	0.0401830	−	0.0589376i	−0.805622	−	0.592430i	$-0.798168\pi$
$229$	0.608079	−	0.891888i	0.0401830	−	0.0589376i	0.845805	+	0.533493i	$0.179121\pi$
$230$	−15.5785	−	14.2413i	−1.02722	−	0.939040i
$231$	15.8009	−	1.52371i	1.03963	−	0.100253i
$232$	−1.75666	+	8.57092i	−0.115331	+	0.562709i
$233$	8.75936	−	2.70190i	0.573845	−	0.177008i	0.00576805	−	0.999983i	$-0.498164\pi$
$233$	8.75936	−	2.70190i	0.573845	−	0.177008i	0.568076	+	0.822976i	$0.307688\pi$
$234$	3.53161	−	2.07404i	0.230869	−	0.135584i
$235$	23.2886	+	1.74524i	1.51918	+	0.113847i
$236$	0.839514	−	13.9818i	0.0546477	−	0.910140i
$237$	2.99350	−	6.21607i	0.194449	−	0.403777i
$238$	14.3991	+	0.663562i	0.933357	+	0.0430123i
$239$	−8.08683	−	16.7925i	−0.523094	−	1.08622i	−0.980420	−	0.196916i	$-0.936907\pi$
$239$	−8.08683	−	16.7925i	−0.523094	−	1.08622i	0.457327	−	0.889299i	$-0.348807\pi$
$240$	−11.6245	+	9.84807i	−0.750359	+	0.635690i
$241$	−4.87381	+	15.8005i	−0.313950	+	1.01780i	0.651814	+	0.758379i	$0.274008\pi$
$241$	−4.87381	+	15.8005i	−0.313950	+	1.01780i	−0.965764	+	0.259422i	$0.916468\pi$
$242$	−7.74706	+	7.29586i	−0.498000	+	0.468996i
$243$	10.2791	+	1.54933i	0.659407	+	0.0993896i
$244$	−0.0975785	−	0.300450i	−0.00624682	−	0.0192343i
$245$	−2.04125	+	19.0167i	−0.130410	+	1.21493i
$246$	−2.38007	−	15.0335i	−0.151748	−	0.958504i
$247$	−2.72107	+	18.0531i	−0.173137	+	1.14869i
$248$	4.60850	−	8.40869i	0.292640	−	0.533952i
$249$	3.15286	+	0.972530i	0.199805	+	0.0616316i
$250$	9.53209	−	2.25012i	0.602863	−	0.142310i
$251$	−23.3058	+	11.2235i	−1.47105	+	0.708419i	−0.986104	−	0.166126i	$-0.946874\pi$
$251$	−23.3058	+	11.2235i	−1.47105	+	0.708419i	−0.484943	+	0.874546i	$0.661160\pi$
$252$	5.28019	−	1.84029i	0.332621	−	0.115928i
$253$	21.1823	+	10.2009i	1.33172	+	0.641323i
$254$	10.1738	+	2.24288i	0.638362	+	0.140731i
$255$	−1.09653	+	14.6321i	−0.0686671	+	0.916299i
$256$	15.9719	−	0.948476i	0.998241	−	0.0592798i
$257$	−1.29563	−	4.20032i	−0.0808189	−	0.262009i	0.906141	−	0.422976i	$-0.139015\pi$
$257$	−1.29563	−	4.20032i	−0.0808189	−	0.262009i	−0.986960	+	0.160968i	$0.948538\pi$
$258$	−6.35107	−	3.60427i	−0.395400	−	0.224392i
$259$	18.1604	+	11.8221i	1.12843	+	0.734587i
$260$	12.4974	+	8.25180i	0.775054	+	0.511755i
$261$	2.70077	+	1.84136i	0.167174	+	0.113977i
$262$	−0.747474	−	0.501542i	−0.0461791	−	0.0309854i
$263$	10.4047	+	6.00716i	0.641582	+	0.370418i	0.785224	−	0.619212i	$-0.212548\pi$
$263$	10.4047	+	6.00716i	0.641582	+	0.370418i	−0.143642	+	0.989630i	$0.545881\pi$
$264$	9.24547	−	14.2306i	0.569020	−	0.875836i
$265$	−23.9659	−	5.47006i	−1.47221	−	0.336023i
$266$	−8.43583	+	23.4553i	−0.517234	+	1.43814i
$267$	5.02306	−	1.14648i	0.307406	−	0.0701634i
$268$	−12.6776	−	7.07086i	−0.774406	−	0.431921i
$269$	−1.48300	−	9.83906i	−0.0904201	−	0.599898i	−0.987450	−	0.157929i	$-0.949518\pi$
$269$	−1.48300	−	9.83906i	−0.0904201	−	0.599898i	0.897030	−	0.441969i	$-0.145720\pi$
$270$	6.59549	+	20.8324i	0.401389	+	1.26782i
$271$	−3.92768	+	3.64435i	−0.238589	+	0.221379i	−0.790400	−	0.612591i	$-0.790127\pi$
$271$	−3.92768	+	3.64435i	−0.238589	+	0.221379i	0.551811	+	0.833969i	$0.313937\pi$
$272$	10.1417	−	11.6019i	0.614929	−	0.703469i
$273$	5.87074	+	8.22802i	0.355314	+	0.497982i
$274$	1.31556	−	19.4933i	0.0794759	−	1.17764i
$275$	9.18925	−	5.30542i	0.554133	−	0.319929i
$276$	−14.8962	−	3.16833i	−0.896645	−	0.190711i
$277$	−1.29028	−	1.19720i	−0.0775252	−	0.0719329i	0.640459	−	0.767993i	$-0.278744\pi$
$277$	−1.29028	−	1.19720i	−0.0775252	−	0.0719329i	−0.717984	+	0.696060i	$0.754935\pi$
$278$	−11.7107	−	5.53299i	−0.702361	−	0.331847i
$279$	−2.23363	−	2.80089i	−0.133724	−	0.167685i
$280$	14.5469	+	14.3682i	0.869342	+	0.858666i
$281$	4.94110	−	6.19594i	0.294761	−	0.369619i	−0.612294	−	0.790630i	$-0.709753\pi$
$281$	4.94110	−	6.19594i	0.294761	−	0.369619i	0.907056	+	0.421011i	$0.138325\pi$
$282$	15.1273	−	7.42358i	0.900816	−	0.442068i
$283$	−6.03576	−	15.3789i	−0.358789	−	0.914179i	−0.990317	−	0.138826i	$-0.955667\pi$
$283$	−6.03576	−	15.3789i	−0.358789	−	0.914179i	0.631528	−	0.775353i	$-0.282428\pi$
$284$	−25.3680	+	6.18723i	−1.50532	+	0.367145i
$285$	−23.6197	−	9.27003i	−1.39911	−	0.549109i
$286$	−15.9762	−	4.79858i	−0.944693	−	0.283746i
$287$	−19.8134	+	4.96925i	−1.16955	+	0.293325i
$288$	1.97619	−	5.64167i	0.116448	−	0.332439i
$289$	0.161334	+	2.15286i	0.00949025	+	0.126639i
$290$	−1.69374	+	11.8318i	−0.0994600	+	0.694789i
$291$	−8.47266	−	12.4271i	−0.496676	−	0.728490i
$292$	−0.873731	−	5.26578i	−0.0511313	−	0.308156i
$293$			3.38079i			0.197508i	0.995112	+	0.0987539i	$0.0314857\pi$
$293$			3.38079i			0.197508i	−0.995112	+	0.0987539i	$0.968514\pi$
$294$	5.67850	+	12.5776i	0.331177	+	0.733538i
$295$		−	19.1355i		−	1.11411i
$296$	21.9790	−	7.31881i	1.27750	−	0.425397i
$297$	−13.7112	−	20.1106i	−0.795604	−	1.16694i
$298$	19.7658	+	2.82950i	1.14500	+	0.163908i
$299$	1.11871	+	14.9282i	0.0646970	+	0.863321i
$300$	−4.96865	+	4.74926i	−0.286865	+	0.274199i
$301$	−4.06287	+	8.91849i	−0.234180	+	0.514053i
$302$	3.52522	−	11.7367i	0.202853	−	0.675373i
$303$	−7.07149	−	2.77536i	−0.406247	−	0.159440i
$304$	14.0021	+	22.6720i	0.803074	+	1.30033i
$305$	−0.157667	−	0.401728i	−0.00902796	−	0.0230029i
$306$	−2.53635	−	5.16841i	−0.144994	−	0.295458i
$307$	−12.8143	+	16.0687i	−0.731353	+	0.917088i	−0.998921	−	0.0464516i	$-0.985209\pi$
$307$	−12.8143	+	16.0687i	−0.731353	+	0.917088i	0.267568	+	0.963539i	$0.413780\pi$
$308$	−20.1225	−	10.6669i	−1.14658	−	0.607802i
$309$	9.23505	+	11.5804i	0.525364	+	0.658785i
$310$	5.59602	−	11.8441i	0.317833	−	0.672700i
$311$	15.2981	+	14.1946i	0.867477	+	0.804901i	0.982071	−	0.188512i	$-0.0603663\pi$
$311$	15.2981	+	14.1946i	0.867477	+	0.804901i	−0.114594	+	0.993412i	$0.536557\pi$
$312$	10.7907	+	0.567647i	0.610902	+	0.0321367i
$313$	3.71569	−	2.14525i	0.210023	−	0.121257i	−0.391299	−	0.920264i	$-0.627974\pi$
$313$	3.71569	−	2.14525i	0.210023	−	0.121257i	0.601322	+	0.799007i	$0.294641\pi$
$314$	9.34682	+	0.630795i	0.527472	+	0.0355978i
$315$	7.04981	−	2.94191i	0.397212	−	0.165758i
$316$	−8.49802	+	5.07582i	−0.478051	+	0.285537i
$317$	−6.80070	+	6.31013i	−0.381965	+	0.354412i	−0.847666	−	0.530530i	$-0.821993\pi$
$317$	−6.80070	+	6.31013i	−0.381965	+	0.354412i	0.465701	+	0.884942i	$0.345802\pi$
$318$	−16.9097	+	5.35358i	−0.948250	+	0.300214i
$319$	−1.98429	−	13.1649i	−0.111099	−	0.737092i
$320$	21.7029	−	2.60119i	1.21323	−	0.145411i
$321$	−2.23760	+	0.510717i	−0.124890	+	0.0285054i
$322$	−2.46401	+	20.2895i	−0.137314	+	1.13069i
$323$	25.0206	+	5.71079i	1.39218	+	0.317757i
$324$	7.00424	+	6.30831i	0.389124	+	0.350462i
$325$	5.85114	+	3.37816i	0.324563	+	0.187386i
$326$	16.0514	−	23.9222i	0.889005	−	1.32493i
$327$	13.7708	+	9.38875i	0.761525	+	0.519199i
$328$	−9.03495	+	19.8807i	−0.498872	+	1.09773i
$329$	−11.7224	−	19.3389i	−0.646277	−	1.06619i
$330$	11.4427	−	20.1631i	0.629898	−	1.10994i
$331$	−2.61229	−	8.46884i	−0.143584	−	0.465489i	0.855003	−	0.518623i	$-0.173555\pi$
$331$	−2.61229	−	8.46884i	−0.143584	−	0.465489i	−0.998587	+	0.0531338i	$0.983079\pi$
$332$	−3.00600	−	3.65682i	−0.164976	−	0.200694i
$333$	0.646781	−	8.63070i	0.0354434	−	0.472959i
$334$	−4.41353	+	20.0200i	−0.241498	+	1.09545i
$335$	−17.8671	−	8.60435i	−0.976185	−	0.470106i
$336$	14.3007	+	3.62428i	0.780168	+	0.197721i
$337$	−14.2393	+	6.85730i	−0.775665	+	0.373541i	−0.779460	−	0.626452i	$-0.784506\pi$
$337$	−14.2393	+	6.85730i	−0.775665	+	0.373541i	0.00379458	+	0.999993i	$0.498792\pi$
$338$	1.78353	+	7.55551i	0.0970115	+	0.410966i
$339$	−22.6806	−	6.99604i	−1.23184	−	0.379973i
$340$	12.8800	−	16.6517i	0.698517	−	0.903065i
$341$	−2.17472	+	14.4284i	−0.117768	+	0.781339i
$342$	9.83324	−	1.55677i	0.531721	−	0.0841805i
$343$	16.1381	−	9.08644i	0.871373	−	0.490621i
$344$	4.75461	+	9.33600i	0.256352	+	0.503363i
$345$	−20.5730	−	3.10089i	−1.10762	−	0.166946i
$346$	−11.1177	−	11.8052i	−0.597689	−	0.634653i
$347$	4.27591	−	13.8622i	0.229543	−	0.744161i	−0.765385	−	0.643573i	$-0.777451\pi$
$347$	4.27591	−	13.8622i	0.229543	−	0.744161i	0.994928	−	0.100588i	$-0.0320724\pi$
$348$	3.26943	+	7.98035i	0.175260	+	0.427792i
$349$	−12.7774	−	26.5326i	−0.683959	−	1.42026i	−0.896473	−	0.443098i	$-0.853879\pi$
$349$	−12.7774	−	26.5326i	−0.683959	−	1.42026i	0.212514	−	0.977158i	$-0.431835\pi$
$350$	6.93949	+	6.07719i	0.370931	+	0.324840i
$351$	6.72440	−	13.9634i	0.358922	−	0.745309i
$352$	−22.3191	+	9.72900i	−1.18961	+	0.518557i
$353$	7.74231	+	0.580206i	0.412081	+	0.0308812i	0.279158	−	0.960245i	$-0.409945\pi$
$353$	7.74231	+	0.580206i	0.412081	+	0.0308812i	0.132923	+	0.991126i	$0.457564\pi$
$354$	−6.99192	−	11.9056i	−0.371617	−	0.632777i
$355$	−34.0873	+	10.5145i	−1.80917	+	0.558054i
$356$	−6.92026	−	2.59826i	−0.366773	−	0.137707i
$357$	12.1506	−	7.36514i	0.643077	−	0.389805i
$358$	−14.6339	+	16.0081i	−0.773428	+	0.846053i
$359$	14.2239	−	20.8626i	0.750707	−	1.10109i	−0.240742	−	0.970589i	$-0.577391\pi$
$359$	14.2239	−	20.8626i	0.750707	−	1.10109i	0.991449	−	0.130496i	$-0.0416570\pi$
$360$	2.23295	−	7.85525i	0.117687	−	0.414008i
$361$	−12.6899	+	21.9795i	−0.667888	+	1.15682i
$362$	−16.0542	+	12.9987i	−0.843790	+	0.683196i
$363$	−2.33418	+	10.2267i	−0.122513	+	0.536764i
$364$	−0.524312	−	14.4921i	−0.0274814	−	0.759595i
$365$	−1.62265	−	7.10930i	−0.0849334	−	0.372118i
$366$	−0.244884	−	0.192335i	−0.0128003	−	0.0100535i
$367$	−5.86652	+	0.884235i	−0.306230	+	0.0461567i	−0.300360	−	0.953826i	$-0.597107\pi$
$367$	−5.86652	+	0.884235i	−0.306230	+	0.0461567i	−0.00587026	+	0.999983i	$0.501869\pi$
$368$	15.3300	+	15.5693i	0.799132	+	0.811604i
$369$	5.54932	+	5.98074i	0.288886	+	0.311345i
$370$	29.3731	−	11.7801i	1.52703	−	0.612421i
$371$	9.16723	+	21.9678i	0.475939	+	1.14051i
$372$	−0.846015	−	9.41385i	−0.0438639	−	0.488085i
$373$	13.6317	+	23.6108i	0.705823	+	1.22252i	0.966394	+	0.257067i	$0.0827561\pi$
$373$	13.6317	+	23.6108i	0.705823	+	1.22252i	−0.260570	+	0.965455i	$0.583911\pi$
$374$	−8.40483	+	21.8910i	−0.434603	+	1.13196i
$375$	6.56650	−	7.07700i	0.339093	−	0.365455i
$376$	−23.9800	−	3.07063i	−1.23667	−	0.158356i
$377$	6.62779	−	5.28549i	0.341348	−	0.272216i
$378$	12.7118	−	16.9156i	0.653824	−	0.870045i
$379$	6.46050	+	5.15207i	0.331853	+	0.264644i	0.775213	−	0.631699i	$-0.217642\pi$
$379$	6.46050	+	5.15207i	0.331853	+	0.264644i	−0.443360	+	0.896344i	$0.646214\pi$
$380$	20.9507	+	29.7708i	1.07475	+	1.52721i
$381$	9.55941	−	3.75179i	0.489743	−	0.192210i
$382$	20.1626	−	1.66139i	1.03161	−	0.0850042i
$383$	1.63785	−	4.17317i	0.0836902	−	0.213239i	−0.882903	−	0.469556i	$-0.844414\pi$
$383$	1.63785	−	4.17317i	0.0836902	−	0.213239i	0.966593	+	0.256317i	$0.0825092\pi$
$384$	12.5525	−	9.54841i	0.640569	−	0.487265i
$385$	−28.3140	−	12.8986i	−1.44301	−	0.657373i
$386$	−27.6366	+	19.1440i	−1.40667	+	0.974406i
$387$	3.90337	−	0.292517i	0.198420	−	0.0148695i
$388$	0.319973	+	21.5765i	0.0162442	+	1.09538i
$389$	−0.671847	+	0.458057i	−0.0340640	+	0.0232244i	−0.580232	−	0.814451i	$-0.697038\pi$
$389$	−0.671847	+	0.458057i	−0.0340640	+	0.0232244i	0.546168	+	0.837675i	$0.316086\pi$
$390$	14.7615	−	0.109449i	0.747479	−	0.00554215i
$391$	21.0436			1.06422
$392$	3.14432	−	19.5477i	0.158812	−	0.987309i
$393$	−0.887287			−0.0447577
$394$	22.8670	−	0.169546i	1.15202	−	0.00854162i
$395$	−11.1730	+	7.61761i	−0.562174	+	0.383284i
$396$	0.134883	+	9.09545i	0.00677812	+	0.457064i
$397$	13.1033	−	0.981957i	0.657636	−	0.0492830i	0.258267	−	0.966073i	$-0.416848\pi$
$397$	13.1033	−	0.981957i	0.657636	−	0.0492830i	0.399369	+	0.916790i	$0.369229\pi$
$398$	16.0615	−	11.1259i	0.805092	−	0.557691i
$399$	5.97714	+	23.8320i	0.299231	+	1.19309i
$400$	9.70324	−	1.75825i	0.485162	−	0.0879123i
$401$	5.98255	−	15.2433i	0.298754	−	0.761213i	−0.700131	−	0.714014i	$-0.746875\pi$
$401$	5.98255	−	15.2433i	0.298754	−	0.761213i	0.998885	−	0.0471992i	$-0.0150296\pi$
$402$	−14.2604	+	1.17506i	−0.711246	+	0.0586066i
$403$	−8.64860	+	3.39433i	−0.430818	+	0.169083i
$404$	6.27244	+	8.91309i	0.312065	+	0.443443i
$405$	10.0681	+	8.02902i	0.500286	+	0.398965i
$406$	10.2791	−	5.31942i	0.510144	−	0.263999i
$407$	−27.5605	+	21.9788i	−1.36613	+	1.08945i
$408$	1.92926	−	15.0665i	0.0955128	−	0.745904i
$409$	2.04150	−	2.20022i	0.100946	−	0.108794i	−0.680558	−	0.732694i	$-0.738263\pi$
$409$	2.04150	−	2.20022i	0.100946	−	0.108794i	0.781504	+	0.623901i	$0.214453\pi$
$410$	−10.6930	+	27.8507i	−0.528088	+	1.37545i
$411$	−9.62929	−	16.6784i	−0.474978	−	0.822686i
$412$	−1.90212	−	21.1654i	−0.0937107	−	1.04274i
$413$	−15.0837	+	10.7623i	−0.742218	+	0.529578i
$414$	7.57668	−	3.03865i	0.372374	−	0.149341i
$415$	−4.39864	−	4.74061i	−0.215921	−	0.232707i
$416$	−12.4706	−	9.21002i	−0.611420	−	0.451559i
$417$	−12.6244	+	1.90282i	−0.618219	+	0.0931816i
$418$	−31.8894	−	25.0464i	−1.55976	−	1.22506i
$419$	−4.08125	−	17.8811i	−0.199382	−	0.873551i	−0.971306	−	0.237835i	$-0.923562\pi$
$419$	−4.08125	−	17.8811i	−0.199382	−	0.873551i	0.771923	−	0.635716i	$-0.219295\pi$
$420$	19.7984	+	3.77142i	0.966062	+	0.184026i
$421$	7.33270	−	32.1266i	0.357374	−	1.56576i	−0.402334	−	0.915493i	$-0.631801\pi$
$421$	7.33270	−	32.1266i	0.357374	−	1.56576i	0.759708	−	0.650264i	$-0.225342\pi$
$422$	−13.5887	+	11.0024i	−0.661488	+	0.535591i
$423$	−4.51616	+	7.82222i	−0.219583	+	0.380330i
$424$	24.4776	+	6.95805i	1.18874	+	0.337913i
$425$	5.35008	−	7.84713i	0.259517	−	0.380642i
$426$	−17.3664	+	18.9971i	−0.841403	+	0.920411i
$427$	−0.227989	+	0.350224i	−0.0110331	+	0.0169485i
$428$	3.08274	+	1.15743i	0.149010	+	0.0559466i
$429$	−15.7125	+	4.84666i	−0.758606	+	0.233999i
$430$	7.24820	+	12.3420i	0.349539	+	0.595185i
$431$	−3.75148	−	0.281134i	−0.180702	−	0.0135418i	−0.0159284	−	0.999873i	$-0.505070\pi$
$431$	−3.75148	−	0.281134i	−0.180702	−	0.0135418i	−0.164774	+	0.986331i	$0.552689\pi$
$432$	−5.68527	−	21.8944i	−0.273533	−	1.05340i
$433$	−16.2354	+	33.7131i	−0.780222	+	1.62015i	0.00425678	+	0.999991i	$0.498645\pi$
$433$	−16.2354	+	33.7131i	−0.780222	+	1.62015i	−0.784478	+	0.620156i	$0.787069\pi$
$434$	−12.4835	+	2.25033i	−0.599229	+	0.108019i
$435$	5.11189	+	10.6150i	0.245096	+	0.508948i
$436$	−9.06514	−	22.1271i	−0.434141	−	1.05969i
$437$	−10.7261	+	34.7730i	−0.513097	+	1.66342i
$438$	−3.60724	−	3.83033i	−0.172361	−	0.183020i
$439$	−26.3422	−	3.97045i	−1.25724	−	0.189499i	−0.513574	−	0.858045i	$-0.671679\pi$
$439$	−26.3422	−	3.97045i	−1.25724	−	0.189499i	−0.743671	+	0.668546i	$0.766917\pi$
$440$	−29.6395	+	15.0947i	−1.41301	+	0.719613i
$441$	−6.28397	−	3.90245i	−0.299237	−	0.185831i
$442$	−14.7472	+	2.33474i	−0.701454	+	0.111052i
$443$	3.17875	−	21.0896i	0.151027	−	1.00200i	−0.777004	−	0.629496i	$-0.783261\pi$
$443$	3.17875	−	21.0896i	0.151027	−	1.00200i	0.928031	−	0.372503i	$-0.121500\pi$
$444$	13.9709	−	18.0620i	0.663028	−	0.857183i
$445$	−9.64977	−	2.97656i	−0.457443	−	0.141102i
$446$	−3.50631	−	14.8536i	−0.166029	−	0.703341i
$447$	17.7329	−	8.53972i	0.838738	−	0.403915i
$448$	−14.2566	−	15.6444i	−0.673563	−	0.739130i
$449$	−16.6582	−	8.02218i	−0.786150	−	0.378590i	−0.00266193	−	0.999996i	$-0.500847\pi$
$449$	−16.6582	−	8.02218i	−0.786150	−	0.378590i	−0.783488	+	0.621406i	$0.786562\pi$
$450$	0.793174	−	3.59788i	0.0373906	−	0.169606i
$451$	2.48330	−	33.1373i	0.116934	−	1.56037i
$452$	21.6241	+	26.3059i	1.01711	+	1.23732i
$453$	−3.56054	−	11.5430i	−0.167289	−	0.542337i
$454$	−0.610321	+	1.07544i	−0.0286438	+	0.0504731i
$455$	−1.90161	−	19.7197i	−0.0891487	−	0.924475i
$456$	23.9130	+	10.8675i	1.11983	+	0.508917i
$457$	−15.0960	−	10.2923i	−0.706160	−	0.481452i	0.156214	−	0.987723i	$-0.450071\pi$
$457$	−15.0960	−	10.2923i	−0.706160	−	0.481452i	−0.862374	+	0.506271i	$0.831023\pi$
$458$	−0.850579	+	1.26766i	−0.0397449	+	0.0592340i
$459$	−18.8672	−	10.8930i	−0.880643	−	0.508440i
$460$	22.1800	+	19.9763i	1.03415	+	0.931399i
$461$	−29.5979	−	6.75552i	−1.37851	−	0.314636i	−0.531881	−	0.846819i	$-0.678515\pi$
$461$	−29.5979	−	6.75552i	−1.37851	−	0.314636i	−0.846629	+	0.532183i	$0.821372\pi$
$462$	−22.3293	+	2.32047i	−1.03885	+	0.107958i
$463$	26.9294	−	6.14647i	1.25152	−	0.285650i	0.455123	−	0.890429i	$-0.349595\pi$
$463$	26.9294	−	6.14647i	1.25152	−	0.285650i	0.796394	+	0.604778i	$0.206738\pi$
$464$	2.39436	−	12.1392i	0.111155	−	0.563548i
$465$	−1.92450	−	12.7682i	−0.0892465	−	0.592112i
$466$	−12.3589	+	3.91281i	−0.572516	+	0.181257i
$467$	9.95938	−	9.24096i	0.460865	−	0.427620i	−0.415261	−	0.909702i	$-0.636310\pi$
$467$	9.95938	−	9.24096i	0.460865	−	0.427620i	0.876126	+	0.482082i	$0.160119\pi$
$468$	−4.97257	+	2.97009i	−0.229857	+	0.137292i
$469$	3.26649	+	18.9232i	0.150833	+	0.873791i
$470$	−32.9524	−	2.22388i	−1.51998	−	0.102580i
$471$	7.99711	−	4.61713i	0.368487	−	0.212746i
$472$	−1.04061	+	19.7816i	−0.0478982	+	0.910520i
$473$	−11.6870	−	10.8440i	−0.537369	−	0.498606i
$474$	−4.16815	+	8.82199i	−0.191450	+	0.405207i
$475$	10.2399	+	12.8404i	0.469837	+	0.589157i
$476$	−20.3699	−	0.787413i	−0.933651	−	0.0360910i
$477$	5.92777	−	7.43319i	0.271414	−	0.340342i
$478$	11.6123	+	23.6627i	0.531133	+	1.08231i
$479$	0.861253	+	2.19444i	0.0393517	+	0.100266i	0.949199	−	0.314678i	$-0.101896\pi$
$479$	0.861253	+	2.19444i	0.0393517	+	0.100266i	−0.909847	+	0.414944i	$0.863801\pi$
$480$	16.3358	−	14.0488i	0.745625	−	0.641236i
$481$	−20.8942	−	8.20037i	−0.952693	−	0.373905i
$482$	6.72675	−	22.3958i	0.306395	−	1.02010i
$483$	9.12652	+	17.9608i	0.415271	+	0.817247i
$484$	10.8792	−	10.3988i	0.494509	−	0.472675i
$485$	2.20302	+	29.3972i	0.100034	+	1.33486i
$486$	−14.5527	−	2.08324i	−0.660126	−	0.0944979i
$487$	14.3016	+	20.9765i	0.648065	+	0.950537i	0.999895	+	0.0144734i	$0.00460718\pi$
$487$	14.3016	+	20.9765i	0.648065	+	0.950537i	−0.351830	+	0.936064i	$0.614440\pi$
$488$	0.141143	+	0.423865i	0.00638926	+	0.0191875i
$489$		−	28.3968i		−	1.28415i
$490$	2.68728	−	26.9143i	0.121399	−	1.21586i
$491$			11.4905i			0.518558i	0.965802	+	0.259279i	$0.0834849\pi$
$491$			11.4905i			0.518558i	−0.965802	+	0.259279i	$0.916515\pi$
$492$	3.52346	+	21.2351i	0.158850	+	0.957353i
$493$	−6.71284	−	9.84593i	−0.302331	−	0.443438i
$494$	3.65877	−	25.5588i	0.164616	−	1.14994i
$495$	0.928670	+	12.3922i	0.0417406	+	0.556990i
$496$	−6.42906	+	11.9397i	−0.288673	+	0.536107i
$497$	27.4597	+	20.9559i	1.23174	+	0.939999i
$498$	−4.46890	−	1.34227i	−0.200256	−	0.0601485i
$499$	17.2959	+	6.78812i	0.774269	+	0.303878i	0.719382	−	0.694614i	$-0.244425\pi$
$499$	17.2959	+	6.78812i	0.774269	+	0.303878i	0.0548868	+	0.998493i	$0.482520\pi$
$500$	−13.4565	+	3.28201i	−0.601791	+	0.146776i
$501$	7.38277	+	18.8110i	0.329838	+	0.840413i
$502$	32.8408	−	16.1163i	1.46575	−	0.719307i
$503$	−19.5468	+	24.5110i	−0.871550	+	1.09289i	0.123384	+	0.992359i	$0.460625\pi$
$503$	−19.5468	+	24.5110i	−0.871550	+	1.09289i	−0.994934	+	0.100530i	$0.967946\pi$
$504$	−7.44781	+	2.65786i	−0.331752	+	0.118390i
$505$	9.28340	+	11.6410i	0.413106	+	0.518019i
$506$	−30.0624	−	14.2037i	−1.33644	−	0.631431i
$507$	5.60951	+	5.20487i	0.249127	+	0.231156i
$508$	−14.4111	−	3.06514i	−0.639387	−	0.135994i
$509$	−16.4993	+	9.52590i	−0.731321	+	0.422228i	−0.818905	−	0.573929i	$-0.805419\pi$
$509$	−16.4993	+	9.52590i	−0.731321	+	0.422228i	0.0875844	+	0.996157i	$0.472085\pi$
$510$	1.39726	−	20.7039i	0.0618716	−	0.916783i
$511$	−4.69132	+	5.27751i	−0.207532	+	0.233463i
$512$	−22.5771	+	1.50878i	−0.997774	+	0.0666793i
$513$	27.6166	−	25.6244i	1.21930	−	1.13135i
$514$	1.87628	+	5.92640i	0.0827593	+	0.261402i
$515$	−4.32690	−	28.7071i	−0.190666	−	1.26499i
$516$	9.01931	+	5.03048i	0.397053	+	0.221454i
$517$	35.8662	−	8.18621i	1.57739	−	0.360029i
$518$	−25.8059	−	16.5280i	−1.13385	−	0.726201i
$519$	−15.5838	−	3.55690i	−0.684053	−	0.156131i
$520$	−17.7600	−	11.5384i	−0.778827	−	0.505994i
$521$	25.4066	+	14.6685i	1.11308	+	0.642639i	0.939626	−	0.342203i	$-0.111173\pi$
$521$	25.4066	+	14.6685i	1.11308	+	0.642639i	0.173457	+	0.984842i	$0.444506\pi$
$522$	−3.83867	−	2.57568i	−0.168014	−	0.112734i
$523$	−33.6516	−	22.9433i	−1.47148	−	1.00324i	−0.992075	−	0.125647i	$-0.959899\pi$
$523$	−33.6516	−	22.9433i	−1.47148	−	1.00324i	−0.479407	−	0.877593i	$-0.659148\pi$
$524$	1.06232	+	0.701430i	0.0464076	+	0.0306421i
$525$	9.01790	+	1.16307i	0.393573	+	0.0507604i
$526$	−14.7771	−	8.38608i	−0.644311	−	0.365651i
$527$	3.84957	+	12.4800i	0.167690	+	0.543637i
$528$	−12.9255	+	20.2216i	−0.562510	+	0.880030i
$529$	−0.511018	+	6.81907i	−0.0222182	+	0.296481i
$530$	33.9493	+	7.48434i	1.47467	+	0.325099i
$531$	6.66791	+	3.21110i	0.289363	+	0.139350i
$532$	11.6838	−	33.2584i	0.506557	−	1.44194i
$533$	19.0635	−	9.18051i	0.825733	−	0.397652i
$534$	−7.09146	+	1.67399i	−0.306877	+	0.0724407i
$535$	4.29864	+	1.32595i	0.185846	+	0.0573260i
$536$	18.0024	+	9.86650i	0.777587	+	0.426168i
$537$	−3.18639	+	21.1403i	−0.137503	+	0.912273i
$538$	2.20039	+	13.8986i	0.0948654	+	0.599211i
$539$	5.75712	+	29.5732i	0.247977	+	1.27381i
$540$	−9.54561	−	29.3915i	−0.410777	−	1.26481i
$541$	4.75319	+	0.716429i	0.204356	+	0.0308017i	0.250422	−	0.968137i	$-0.419431\pi$
$541$	4.75319	+	0.716429i	0.204356	+	0.0308017i	−0.0460665	+	0.998938i	$0.514669\pi$
$542$	5.51621	−	5.19493i	0.236942	−	0.223142i
$543$	−6.00172	+	19.4571i	−0.257559	+	0.834984i
$544$	−14.2204	+	16.5135i	−0.609696	+	0.708009i
$545$	−14.1737	−	29.4320i	−0.607135	−	1.26073i
$546$	−8.38853	−	11.5743i	−0.358996	−	0.495334i
$547$	2.08713	−	4.33396i	0.0892390	−	0.185307i	−0.851573	−	0.524237i	$-0.824351\pi$
$547$	2.08713	−	4.33396i	0.0892390	−	0.185307i	0.940812	+	0.338930i	$0.110065\pi$
$548$	−1.65604	+	27.5808i	−0.0707424	+	1.17819i
$549$	0.166443	+	0.0124732i	0.00710362	+	0.000532342i
$550$	−12.9396	+	7.59914i	−0.551745	+	0.324028i
$551$	19.6913	−	6.07396i	0.838877	−	0.258759i
$552$	21.0990	+	4.32437i	0.898034	+	0.184058i
$553$	12.2886	+	4.52283i	0.522564	+	0.192330i
$554$	1.83723	+	1.67952i	0.0780564	+	0.0713561i
$555$	17.5729	−	25.7747i	0.745927	−	1.09407i
$556$	16.6190	+	7.70183i	0.704802	+	0.326630i
$557$	22.8038	−	39.4973i	0.966227	−	1.67355i	0.259946	−	0.965623i	$-0.416295\pi$
$557$	22.8038	−	39.4973i	0.966227	−	1.67355i	0.706281	−	0.707931i	$-0.250371\pi$
$558$	3.18811	+	3.93752i	0.134964	+	0.166689i
$559$	2.25892	−	9.89696i	0.0955419	−	0.418597i
$560$	−20.7225	−	20.1667i	−0.875684	−	0.852197i
$561$	5.14337	+	22.5346i	0.217153	+	0.951410i
$562$	−6.92261	+	8.81395i	−0.292013	+	0.371794i
$563$	38.1029	−	5.74308i	1.60584	−	0.242042i	0.715930	−	0.698172i	$-0.246003\pi$
$563$	38.1029	−	5.74308i	1.60584	−	0.242042i	0.889913	+	0.456130i	$0.150765\pi$
$564$	−21.3148	+	10.6569i	−0.897514	+	0.448734i
$565$	31.6423	+	34.1022i	1.33120	+	1.43469i
$566$	8.69688	+	21.6851i	0.365557	+	0.911494i
$567$	0.666380	−	12.4519i	0.0279853	−	0.522932i
$568$	35.8100	−	9.01582i	1.50255	−	0.378295i
$569$	17.8202	+	30.8656i	0.747064	+	1.29395i	0.949224	+	0.314600i	$0.101870\pi$
$569$	17.8202	+	30.8656i	0.747064	+	1.29395i	−0.202161	+	0.979352i	$0.564796\pi$
$570$	33.4995	+	12.8618i	1.40314	+	0.538721i
$571$	−26.3759	+	28.4264i	−1.10380	+	1.18961i	−0.123445	+	0.992351i	$0.539394\pi$
$571$	−26.3759	+	28.4264i	−1.10380	+	1.18961i	−0.980352	+	0.197258i	$0.936796\pi$
$572$	22.6435	+	6.61851i	0.946771	+	0.276734i
$573$	15.5912	−	12.4336i	0.651332	−	0.519420i
$574$	27.9674	−	7.23513i	1.16734	−	0.301989i
$575$	10.5286	+	8.39629i	0.439074	+	0.350150i
$576$	−2.73552	+	7.99903i	−0.113980	+	0.333293i
$577$	30.8739	−	12.1171i	1.28530	−	0.504442i	0.378340	−	0.925667i	$-0.376495\pi$
$577$	30.8739	−	12.1171i	1.28530	−	0.504442i	0.906956	+	0.421225i	$0.138400\pi$
$578$	−0.250728	−	3.04282i	−0.0104289	−	0.126565i
$579$	−12.1072	+	30.8486i	−0.503157	+	1.28202i
$580$	2.27119	−	16.7500i	0.0943059	−	0.695507i
$581$	−1.26290	+	6.13349i	−0.0523941	+	0.254460i
$582$	12.1121	+	17.4853i	0.502064	+	0.724788i
$583$	−38.6152	+	2.89381i	−1.59928	+	0.119849i
$584$	1.29082	+	7.43757i	0.0534146	+	0.307769i
$585$	−6.53780	+	4.45740i	−0.270305	+	0.184291i
$586$	−0.0354487	−	4.78103i	−0.00146437	−	0.197502i
$587$	−7.34376			−0.303109			−0.151555	−	0.988449i	$-0.548428\pi$
$587$	−7.34376			−0.303109			−0.151555	+	0.988449i	$0.548428\pi$
$588$	−8.16227	−	17.7273i	−0.336606	−	0.731063i
$589$	−22.5845			−0.930577
$590$	0.200642	+	27.0609i	0.00826030	+	1.11408i
$591$	18.6242	−	12.6978i	0.766098	−	0.522317i
$592$	−31.0054	+	10.5805i	−1.27431	+	0.434857i
$593$	29.2616	−	2.19285i	1.20163	−	0.0900497i	0.541171	−	0.840912i	$-0.317981\pi$
$593$	29.2616	−	2.19285i	1.20163	−	0.0900497i	0.660458	+	0.750863i	$0.270362\pi$
$594$	19.6009	+	28.2962i	0.804234	+	1.16101i
$595$	−27.8424	+	0.594098i	−1.14143	+	0.0243557i
$596$	−27.9819	−	3.79415i	−1.14618	−	0.155415i
$597$	7.03630	−	17.9282i	0.287976	−	0.733752i
$598$	−1.73859	−	21.0994i	−0.0710961	−	0.862817i
$599$	−26.1446	+	10.2610i	−1.06824	+	0.419253i	−0.833337	−	0.552766i	$-0.813572\pi$
$599$	−26.1446	+	10.2610i	−1.06824	+	0.419253i	−0.234903	+	0.972019i	$0.575477\pi$
$600$	6.97674	−	6.76839i	0.284824	−	0.276318i
$601$	26.6299	+	21.2366i	1.08626	+	0.866261i	0.991612	−	0.129250i	$-0.0412571\pi$
$601$	26.6299	+	21.2366i	1.08626	+	0.866261i	0.0946447	+	0.995511i	$0.469829\pi$
$602$	5.65209	−	12.6549i	0.230362	−	0.515775i
$603$	5.99651	−	4.78206i	0.244197	−	0.194740i
$604$	−4.86221	+	16.6347i	−0.197840	+	0.676858i
$605$	13.9843	−	15.0715i	0.568543	−	0.612743i
$606$	10.0294	+	3.85069i	0.407418	+	0.156424i
$607$	12.0742	+	20.9132i	0.490078	+	0.848840i	0.999935	−	0.0114196i	$-0.00363505\pi$
$607$	12.0742	+	20.9132i	0.490078	+	0.848840i	−0.509857	+	0.860259i	$0.670302\pi$
$608$	−20.0391	−	31.9153i	−0.812693	−	1.29434i
$609$	5.49224	−	9.99960i	0.222557	−	0.405204i
$610$	0.227180	+	0.566460i	0.00919826	+	0.0229353i
$611$	15.9328	+	17.1715i	0.644572	+	0.694683i
$612$	3.64104	+	7.28244i	0.147180	+	0.294375i
$613$	10.6520	−	1.60553i	0.430229	−	0.0648466i	0.0696417	−	0.997572i	$-0.477814\pi$
$613$	10.6520	−	1.60553i	0.430229	−	0.0648466i	0.360587	+	0.932725i	$0.382576\pi$
$614$	17.9532	−	22.8583i	0.724533	−	0.922485i
$615$	6.54360	+	28.6694i	0.263864	+	1.15606i
$616$	28.5685	+	14.8738i	1.15106	+	0.599284i
$617$	1.96107	−	8.59201i	0.0789497	−	0.345901i	−0.919990	−	0.391942i	$-0.871803\pi$
$617$	1.96107	−	8.59201i	0.0789497	−	0.345901i	0.998940	+	0.0460409i	$0.0146605\pi$
$618$	−13.1814	−	16.2799i	−0.530234	−	0.654872i
$619$	22.9657	−	39.7778i	0.923069	−	1.59880i	0.128432	−	0.991718i	$-0.459006\pi$
$619$	22.9657	−	39.7778i	0.923069	−	1.59880i	0.794637	−	0.607084i	$-0.207661\pi$
$620$	−7.78956	+	16.8083i	−0.312836	+	0.675038i
$621$	17.4014	−	25.5232i	0.698294	−	1.02421i
$622$	−21.7830	−	19.9132i	−0.873421	−	0.798447i
$623$	3.08099	+	9.28058i	0.123437	+	0.371819i
$624$	−15.2659	−	0.689609i	−0.611124	−	0.0276064i
$625$	−29.8605	+	9.21074i	−1.19442	+	0.368430i
$626$	−5.23214	+	3.07272i	−0.209118	+	0.122811i
$627$	−39.8584	−	2.98698i	−1.59179	−	0.119288i
$628$	−13.2247	−	0.794050i	−0.527721	−	0.0316861i
$629$	−13.6900	+	28.4276i	−0.545856	+	1.13348i
$630$	−9.93881	+	4.23430i	−0.395972	+	0.168698i
$631$	6.40177	+	13.2934i	0.254851	+	0.529203i	0.988663	−	0.150149i	$-0.0479754\pi$
$631$	6.40177	+	13.2934i	0.254851	+	0.529203i	−0.733813	+	0.679352i	$0.762261\pi$
$632$	11.9645	−	7.26720i	0.475921	−	0.289074i
$633$	−5.08002	+	16.4690i	−0.201913	+	0.654585i
$634$	9.55121	−	8.99493i	0.379327	−	0.357234i
$635$	−19.9031	−	2.99990i	−0.789829	−	0.119047i
$636$	23.8572	−	7.74820i	0.945998	−	0.307236i
$637$	−14.4747	+	12.5898i	−0.573508	+	0.498827i
$638$	2.94417	+	18.5966i	0.116561	+	0.736248i
$639$	2.05626	−	13.6424i	0.0813445	−	0.539686i
$640$	−30.6644	+	3.90610i	−1.21211	+	0.154402i
$641$	19.6196	+	6.05185i	0.774928	+	0.239034i	0.656901	−	0.753977i	$-0.271867\pi$
$641$	19.6196	+	6.05185i	0.774928	+	0.239034i	0.118027	+	0.993010i	$0.462343\pi$
$642$	3.15900	−	0.745705i	0.124676	−	0.0294306i
$643$	14.8691	−	7.16060i	0.586381	−	0.282386i	−0.117077	−	0.993123i	$-0.537352\pi$
$643$	14.8691	−	7.16060i	0.586381	−	0.282386i	0.703458	+	0.710737i	$0.251638\pi$
$644$	3.27179	−	28.7187i	0.128927	−	1.13168i
$645$	12.7113	+	6.12146i	0.500509	+	0.241032i
$646$	−35.4434	−	7.81371i	−1.39450	−	0.307426i
$647$	2.58240	−	34.4598i	0.101525	−	1.35475i	−0.681069	−	0.732220i	$-0.738484\pi$
$647$	2.58240	−	34.4598i	0.101525	−	1.35475i	0.782593	−	0.622533i	$-0.213896\pi$
$648$	−9.97136	−	8.84761i	−0.391712	−	0.347567i
$649$	−8.88493	−	28.8042i	−0.348764	−	1.13067i
$650$	−8.30995	−	4.71595i	−0.325943	−	0.184975i
$651$	−8.98223	+	8.69816i	−0.352041	+	0.340908i
$652$	−22.4486	+	33.9985i	−0.879157	+	1.33149i
$653$	−9.80472	−	6.68474i	−0.383688	−	0.261594i	0.356081	−	0.934455i	$-0.384113\pi$
$653$	−9.80472	−	6.68474i	−0.383688	−	0.261594i	−0.739769	+	0.672861i	$0.765065\pi$
$654$	−19.5727	−	13.1329i	−0.765353	−	0.513539i
$655$	1.50610	+	0.869545i	0.0588480	+	0.0339759i
$656$	12.5685	−	28.2095i	0.490719	−	1.10139i
$657$	2.74959	+	0.627575i	0.107272	+	0.0244840i
$658$	16.7803	+	27.2257i	0.654164	+	1.06137i
$659$	−1.44896	+	0.330715i	−0.0564434	+	0.0128828i	−0.250649	−	0.968078i	$-0.580644\pi$
$659$	−1.44896	+	0.330715i	−0.0564434	+	0.0128828i	0.194206	+	0.980961i	$0.437787\pi$
$660$	−15.9705	+	28.6341i	−0.621652	+	1.11458i
$661$	3.09869	+	20.5585i	0.120525	+	0.799632i	0.964659	+	0.263500i	$0.0848769\pi$
$661$	3.09869	+	20.5585i	0.120525	+	0.799632i	−0.844134	+	0.536132i	$0.819885\pi$
$662$	3.78303	+	11.9490i	0.147032	+	0.464412i
$663$	−10.7888	+	10.0105i	−0.419001	+	0.388776i
$664$	4.28935	+	5.13987i	0.166459	+	0.199466i
$665$	13.2098	−	46.3105i	0.512254	−	1.79584i
$666$	−0.824166	+	12.2121i	−0.0319358	+	0.473209i
$667$	14.6330	−	8.44839i	0.566594	−	0.327123i
$668$	6.03159	−	28.3581i	0.233369	−	1.09721i
$669$	−11.0279	−	10.2324i	−0.426365	−	0.395609i
$670$	25.3575	+	11.9807i	0.979644	+	0.462855i
$671$	−0.423861	−	0.531505i	−0.0163630	−	0.0205185i
$672$	−20.2617	−	4.97542i	−0.781613	−	0.191931i
$673$	−6.89169	+	8.64191i	−0.265655	+	0.333121i	−0.896711	−	0.442616i	$-0.854050\pi$
$673$	−6.89169	+	8.64191i	−0.265655	+	0.333121i	0.631056	+	0.775737i	$0.282622\pi$
$674$	20.0650	−	9.84672i	0.772875	−	0.379281i
$675$	−5.09346	−	12.9779i	−0.196048	−	0.499521i
$676$	−2.60145	−	10.6661i	−0.100056	−	0.410235i
$677$	20.0490	+	7.86864i	0.770545	+	0.302417i	0.717853	−	0.696194i	$-0.245125\pi$
$677$	20.0490	+	7.86864i	0.770545	+	0.302417i	0.0526914	+	0.998611i	$0.483220\pi$
$678$	32.1477	+	9.65580i	1.23462	+	0.370829i
$679$	21.9335	−	18.2703i	0.841730	−	0.701149i
$680$	−18.0400	+	23.6835i	−0.691803	+	0.908219i
$681$	0.0910879	+	1.21548i	0.00349050	+	0.0465774i
$682$	2.92415	−	20.4270i	0.111972	−	0.782191i
$683$	−25.3065	−	37.1178i	−0.968325	−	1.42027i	−0.906510	−	0.422185i	$-0.861263\pi$
$683$	−25.3065	−	37.1178i	−0.968325	−	1.42027i	−0.0618158	−	0.998088i	$-0.519689\pi$
$684$	−13.8896	+	2.30465i	−0.531082	+	0.0881205i
$685$			37.7470i			1.44224i
$686$	−22.7267	+	13.0190i	−0.867711	+	0.497069i
$687$			1.50477i			0.0574107i
$688$	−6.82175	−	13.1529i	−0.260077	−	0.501449i
$689$	−13.8896	−	20.3723i	−0.529152	−	0.776124i
$690$	29.1264	+	4.16948i	1.10882	+	0.158729i
$691$	1.33697	+	17.8406i	0.0508607	+	0.678689i	0.963119	+	0.269074i	$0.0867178\pi$
$691$	1.33697	+	17.8406i	0.0508607	+	0.678689i	−0.912259	+	0.409615i	$0.865663\pi$
$692$	15.8461	+	16.5781i	0.602378	+	0.630204i
$693$	9.24595	−	7.70174i	0.351225	−	0.292565i
$694$	−5.90154	+	19.6484i	−0.224019	+	0.745842i
$695$	23.2936	+	9.14207i	0.883577	+	0.346779i
$696$	−4.70723	−	11.2513i	−0.178427	−	0.426481i
$697$	−10.8664	−	27.6872i	−0.411596	−	1.04873i
$698$	18.3477	+	37.3877i	0.694471	+	1.41515i
$699$	−7.96717	+	9.99052i	−0.301346	+	0.377876i
$700$	−9.87737	−	8.52145i	−0.373330	−	0.322080i
$701$	−8.37662	−	10.5039i	−0.316380	−	0.396729i	0.598058	−	0.801452i	$-0.295939\pi$
$701$	−8.37662	−	10.5039i	−0.316380	−	0.396729i	−0.914439	+	0.404724i	$0.867368\pi$
$702$	−9.36307	+	19.8171i	−0.353386	+	0.747950i
$703$	−39.9967	−	37.1115i	−1.50850	−	1.39969i
$704$	31.4611	−	13.9925i	1.18573	−	0.527363i
$705$	−28.1940	+	16.2778i	−1.06185	+	0.613057i
$706$	−10.9551	−	0.739332i	−0.412299	−	0.0278251i
$707$	3.95488	−	13.8649i	0.148739	−	0.521443i
$708$	10.0126	+	16.7633i	0.376298	+	0.630005i
$709$	3.15836	−	2.93053i	0.118615	−	0.110058i	−0.618636	−	0.785678i	$-0.712314\pi$
$709$	3.15836	−	2.93053i	0.118615	−	0.110058i	0.737250	+	0.675620i	$0.236124\pi$
$710$	48.0951	−	15.2268i	1.80498	−	0.571452i
$711$	−0.779495	−	5.17161i	−0.0292334	−	0.193951i
$712$	9.81370	+	3.60183i	0.367784	+	0.134984i
$713$	−18.0541	+	4.12073i	−0.676132	+	0.154323i
$714$	−17.1058	+	10.5430i	−0.640169	+	0.394562i
$715$	31.4204	+	7.17150i	1.17506	+	0.268199i
$716$	20.5271	−	22.7916i	0.767134	−	0.851764i
$717$	22.5010	+	12.9910i	0.840316	+	0.485157i
$718$	−19.8963	+	29.6525i	−0.742523	+	1.10662i
$719$	11.4779	+	7.82548i	0.428052	+	0.291841i	0.758119	−	0.652117i	$-0.226119\pi$
$719$	11.4779	+	7.82548i	0.428052	+	0.291841i	−0.330066	+	0.943958i	$0.607071\pi$
$720$	−3.07541	+	11.1321i	−0.114614	+	0.414869i
$721$	−20.1950	+	19.5563i	−0.752101	+	0.728315i
$722$	17.7152	−	31.2159i	0.659293	−	1.16174i
$723$	−6.79415	−	22.0261i	−0.252677	−	0.819159i
$724$	22.5672	−	18.5508i	0.838702	−	0.689433i
$725$	0.569883	−	7.60456i	0.0211649	−	0.282426i
$726$	3.19371	−	14.4868i	0.118530	−	0.537657i
$727$	20.1040	+	9.68160i	0.745618	+	0.359071i	0.767805	−	0.640683i	$-0.221349\pi$
$727$	20.1040	+	9.68160i	0.745618	+	0.359071i	−0.0221875	+	0.999754i	$0.507063\pi$
$728$	0.893423	+	20.4889i	0.0331125	+	0.759370i
$729$	−25.7952	+	12.4223i	−0.955376	+	0.460085i
$730$	2.36925	+	10.0368i	0.0876901	+	0.371478i
$731$	−13.6360	−	4.20616i	−0.504347	−	0.155571i
$732$	0.348325	+	0.269428i	0.0128745	+	0.00995835i
$733$	−0.833864	+	5.53233i	−0.0307995	+	0.204341i	−0.998938	−	0.0460739i	$-0.985329\pi$
$733$	−0.833864	+	5.53233i	−0.0307995	+	0.204341i	0.968139	+	0.250415i	$0.0805671\pi$
$734$	8.28701	−	1.31198i	0.305879	−	0.0484259i
$735$	−12.5822	−	23.5061i	−0.464103	−	0.867035i
$736$	−21.8426	−	21.8569i	−0.805128	−	0.805656i
$737$	−30.8902	−	4.65594i	−1.13785	−	0.171504i
$738$	−7.91041	−	8.39963i	−0.291186	−	0.309195i
$739$	−3.27020	+	10.6017i	−0.120296	+	0.389990i	−0.995614	−	0.0935578i	$-0.970176\pi$
$739$	−3.27020	+	10.6017i	−0.120296	+	0.389990i	0.875318	+	0.483548i	$0.160652\pi$
$740$	−41.4151	+	16.9672i	−1.52245	+	0.623726i
$741$	−11.0426	−	22.9301i	−0.405659	−	0.842359i
$742$	−13.1944	−	30.9702i	−0.484382	−	1.13695i
$743$	−7.33065	+	15.2223i	−0.268936	+	0.558451i	−0.991076	−	0.133296i	$-0.957444\pi$
$743$	−7.33065	+	15.2223i	−0.268936	+	0.558451i	0.722141	+	0.691746i	$0.243158\pi$
$744$	1.29512	+	13.3040i	0.0474814	+	0.487747i
$745$	−38.4691	−	2.88286i	−1.40940	−	0.105620i
$746$	−19.5252	−	33.2469i	−0.714868	−	1.21726i
$747$	2.39003	−	0.737227i	0.0874467	−	0.0269737i
$748$	11.6564	−	31.0459i	0.426199	−	1.13515i
$749$	−1.37247	−	4.13417i	−0.0501490	−	0.151059i
$750$	−9.21197	+	10.0770i	−0.336374	+	0.367959i
$751$	−21.9218	+	32.1534i	−0.799938	+	1.17329i	0.181853	+	0.983326i	$0.441791\pi$
$751$	−21.9218	+	32.1534i	−0.799938	+	1.17329i	−0.981790	+	0.189967i	$0.939162\pi$
$752$	33.9440	+	4.09097i	1.23781	+	0.149182i
$753$	18.0298	−	31.2285i	0.657041	−	1.13803i
$754$	−9.31743	+	7.54409i	−0.339321	+	0.274740i
$755$	−5.26845	+	23.0826i	−0.191738	+	0.840061i
$756$	−17.7993	+	24.0549i	−0.647355	+	0.874868i
$757$	8.99804	+	39.4230i	0.327039	+	1.43285i	0.824744	+	0.565506i	$0.191319\pi$
$757$	8.99804	+	39.4230i	0.327039	+	1.43285i	−0.497705	+	0.867347i	$0.665824\pi$
$758$	−9.19029	−	7.21819i	−0.333806	−	0.262177i
$759$	−32.4080	+	4.88472i	−1.17634	+	0.177304i
$760$	−29.9401	−	41.8815i	−1.08604	−	1.51920i
$761$	−34.5109	−	37.1939i	−1.25102	−	1.34828i	−0.913437	−	0.406980i	$-0.866582\pi$
$761$	−34.5109	−	37.1939i	−1.25102	−	1.34828i	−0.337580	−	0.941297i	$-0.609609\pi$
$762$	−13.4793	+	5.40592i	−0.488305	+	0.195836i
$763$	−15.2283	+	27.7258i	−0.551301	+	1.00374i
$764$	−28.4960	+	2.56091i	−1.03095	+	0.0926505i
$765$	5.56150	+	9.63280i	0.201076	+	0.348275i
$766$	−2.27245	+	5.91877i	−0.0821068	+	0.213854i
$767$	13.0549	−	14.0698i	0.471384	−	0.508031i
$768$	−17.6514	+	13.6347i	−0.636939	+	0.492001i
$769$	−26.0909	+	20.8068i	−0.940862	+	0.750312i	−0.968424	−	0.249308i	$-0.919797\pi$
$769$	−26.0909	+	20.8068i	−0.940862	+	0.750312i	0.0275627	+	0.999620i	$0.491225\pi$
$770$	40.1762	+	17.9440i	1.44785	+	0.646657i
$771$	4.79069	+	3.82045i	0.172532	+	0.137590i
$772$	38.8823	−	27.3628i	1.39941	−	0.984808i
$773$	−22.8445	+	8.96579i	−0.821658	+	0.322477i	−0.738665	−	0.674073i	$-0.764543\pi$
$773$	−22.8445	+	8.96579i	−0.821658	+	0.322477i	−0.0829936	+	0.996550i	$0.526448\pi$
$774$	−5.51698	+	0.454599i	−0.198304	+	0.0163402i
$775$	−3.05343	+	7.78002i	−0.109682	+	0.279466i
$776$	−0.678734	−	30.5095i	−0.0243651	−	1.09523i
$777$	−30.2005	+	0.644414i	−1.08344	+	0.0231182i
$778$	0.945306	−	0.654818i	0.0338909	−	0.0234763i
$779$	51.2899	−	3.84365i	1.83765	−	0.137713i
$780$	−20.8742	+	0.309559i	−0.747417	+	0.0110840i
$781$	−46.4288	+	31.6546i	−1.66135	+	1.13269i
$782$	−29.7593	+	0.220649i	−1.06419	+	0.00789038i
$783$	−17.4928			−0.625143
$784$	−4.24165	+	27.6769i	−0.151487	+	0.988459i
$785$	−18.0992			−0.645989
$786$	1.25478	−	0.00930350i	0.0447565	−	0.000331845i
$787$	40.5714	−	27.6611i	1.44621	−	0.986011i	0.450572	−	0.892740i	$-0.351220\pi$
$787$	40.5714	−	27.6611i	1.44621	−	0.986011i	0.995641	−	0.0932711i	$-0.0297323\pi$
$788$	−32.3361	+	0.479536i	−1.15193	+	0.0170828i
$789$	−16.7013	+	1.25159i	−0.594581	+	0.0445577i
$790$	15.7207	−	10.8898i	0.559316	−	0.387441i
$791$	9.08488	−	44.1222i	0.323021	−	1.56880i
$792$	−0.286117	−	12.8611i	−0.0101667	−	0.457001i
$793$	0.158144	−	0.402945i	0.00561587	−	0.0143090i
$794$	−18.5201	+	1.52605i	−0.657253	+	0.0541575i
$795$	31.8991	−	12.5195i	1.13135	−	0.444020i
$796$	−22.5972	+	15.9024i	−0.800935	+	0.563645i
$797$	38.2437	+	30.4984i	1.35466	+	1.08031i	0.988737	+	0.149664i	$0.0478192\pi$
$797$	38.2437	+	30.4984i	1.35466	+	1.08031i	0.365926	+	0.930644i	$0.380752\pi$
$798$	−8.70261	−	33.6400i	−0.308069	−	1.19084i
$799$	25.7443	−	20.5304i	0.910768	−	0.726313i
$800$	−13.7036	+	2.58821i	−0.484497	+	0.0915070i
$801$	2.65652	−	2.86305i	0.0938635	−	0.101161i
$802$	−8.30054	+	21.6194i	−0.293102	+	0.763408i
$803$	−5.74351	−	9.94805i	−0.202684	−	0.351059i
$804$	20.1544	−	1.81126i	0.710792	−	0.0638783i
$805$	2.11020	−	39.4310i	0.0743748	−	1.38976i
$806$	12.1950	−	4.89085i	0.429552	−	0.172273i
$807$	9.43446	+	10.1679i	0.332109	+	0.357928i
$808$	−8.96378	−	12.5389i	−0.315345	−	0.441117i
$809$	−14.2036	+	2.14086i	−0.499374	+	0.0752685i	−0.393899	−	0.919154i	$-0.628874\pi$
$809$	−14.2036	+	2.14086i	−0.499374	+	0.0752685i	−0.105474	+	0.994422i	$0.533636\pi$
$810$	−14.3222	−	11.2489i	−0.503231	−	0.395245i
$811$	9.46104	+	41.4515i	0.332222	+	1.45556i	0.814818	+	0.579717i	$0.196837\pi$
$811$	9.46104	+	41.4515i	0.332222	+	1.45556i	−0.482596	+	0.875843i	$0.660306\pi$
$812$	−14.4807	+	7.63037i	−0.508173	+	0.267774i
$813$	1.66203	−	7.28182i	0.0582899	−	0.255385i
$814$	38.7450	−	31.3708i	1.35801	−	1.09955i
$815$	−27.8290	+	48.2012i	−0.974807	+	1.68842i
$816$	−2.57034	+	21.3269i	−0.0899799	+	0.746591i
$817$	13.9008	−	20.3887i	0.486327	−	0.713310i
$818$	−2.86397	+	3.13290i	−0.100136	+	0.109539i
$819$	7.19060	+	2.64651i	0.251260	+	0.0924764i
$820$	14.8297	−	39.4978i	0.517875	−	1.37932i
$821$	10.1020	−	3.11606i	0.352563	−	0.108751i	−0.113415	−	0.993548i	$-0.536179\pi$
$821$	10.1020	−	3.11606i	0.352563	−	0.108751i	0.465978	+	0.884796i	$0.345703\pi$
$822$	13.7924	+	23.4852i	0.481064	+	0.819142i
$823$	1.20798	+	0.0905254i	0.0421075	+	0.00315552i	0.0957672	−	0.995404i	$-0.469470\pi$
$823$	1.20798	+	0.0905254i	0.0421075	+	0.00315552i	−0.0536597	+	0.998559i	$0.517089\pi$
$824$	2.91186	+	29.9116i	0.101439	+	1.04202i
$825$	−6.41784	+	13.3268i	−0.223441	+	0.463979i
$826$	21.2181	−	15.3779i	0.738272	−	0.535066i
$827$	20.8089	+	43.2101i	0.723596	+	1.50256i	0.859112	+	0.511788i	$0.171017\pi$
$827$	20.8089	+	43.2101i	0.723596	+	1.50256i	−0.135515	+	0.990775i	$0.543269\pi$
$828$	−10.6829	+	4.37662i	−0.371256	+	0.152098i
$829$	12.8431	−	41.6364i	0.446060	−	1.44609i	−0.401729	−	0.915759i	$-0.631591\pi$
$829$	12.8431	−	41.6364i	0.446060	−	1.44609i	0.847789	−	0.530333i	$-0.177933\pi$
$830$	6.27015	+	6.65792i	0.217640	+	0.231100i
$831$	2.42626	+	0.365699i	0.0841659	+	0.0126860i
$832$	17.7321	+	12.8938i	0.614751	+	0.447013i
$833$	16.1276	+	21.6128i	0.558788	+	0.748840i
$834$	17.8332	−	2.82329i	0.617511	−	0.0977626i
$835$	5.90320	−	39.1652i	0.204289	−	1.35537i
$836$	45.3598	+	35.0856i	1.56880	+	1.21346i
$837$	18.3199	+	5.65095i	0.633230	+	0.195325i
$838$	5.95909	+	25.2443i	0.205853	+	0.872048i
$839$	3.62221	−	1.74437i	0.125053	−	0.0602222i	−0.370311	−	0.928908i	$-0.620749\pi$
$839$	3.62221	−	1.74437i	0.125053	−	0.0602222i	0.495364	+	0.868686i	$0.335035\pi$
$840$	−28.0379	−	5.12585i	−0.967399	−	0.176859i
$841$	17.5073	+	8.43109i	0.603701	+	0.290727i
$842$	−10.0329	+	45.5096i	−0.345755	+	1.56836i
$843$	−0.825574	+	11.0165i	−0.0284343	+	0.379429i
$844$	19.1015	−	15.7019i	0.657499	−	0.540480i
$845$	−4.42089	−	14.3322i	−0.152083	−	0.493041i
$846$	6.30463	−	11.1093i	0.216757	−	0.381947i
$847$	−19.7453	−	2.54661i	−0.678457	−	0.0875027i
$848$	−34.6886	−	9.58324i	−1.19121	−	0.329090i
$849$	19.0286	+	12.9734i	0.653058	+	0.445248i
$850$	−7.48367	+	11.1533i	−0.256688	+	0.382555i
$851$	−38.7449	−	22.3694i	−1.32816	−	0.766812i
$852$	24.3599	−	27.0473i	0.834556	−	0.926624i
$853$	−22.3142	−	5.09306i	−0.764022	−	0.174383i	−0.177284	−	0.984160i	$-0.556731\pi$
$853$	−22.3142	−	5.09306i	−0.764022	−	0.174383i	−0.586738	+	0.809777i	$0.699588\pi$
$854$	0.318744	−	0.497668i	0.0109072	−	0.0170298i
$855$	−18.7523	+	4.28008i	−0.641314	+	0.146376i
$856$	−4.37166	−	1.60449i	−0.149420	−	0.0548402i
$857$	−1.06698	−	7.07894i	−0.0364473	−	0.241812i	0.963188	−	0.268830i	$-0.0866369\pi$
$857$	−1.06698	−	7.07894i	−0.0364473	−	0.241812i	−0.999635	+	0.0270180i	$0.991399\pi$
$858$	22.1694	−	7.01878i	0.756851	−	0.239617i
$859$	−18.4934	+	17.1593i	−0.630986	+	0.585469i	−0.929448	−	0.368952i	$-0.879717\pi$
$859$	−18.4934	+	17.1593i	−0.630986	+	0.585469i	0.298462	+	0.954421i	$0.403526\pi$
$860$	−10.3796	−	17.3778i	−0.353943	−	0.592577i
$861$	18.9185	−	21.2824i	0.644742	−	0.725304i
$862$	5.30819	+	0.358238i	0.180798	+	0.0122016i
$863$	−11.6113	+	6.70381i	−0.395255	+	0.228200i	−0.684434	−	0.729074i	$-0.739951\pi$
$863$	−11.6113	+	6.70381i	−0.395255	+	0.228200i	0.289180	+	0.957275i	$0.406617\pi$
$864$	8.26954	+	30.9029i	0.281335	+	1.05134i
$865$	22.9664	+	21.3097i	0.780882	+	0.724552i
$866$	22.6061	−	47.8464i	0.768188	−	1.62589i
$867$	−1.87641	−	2.35294i	−0.0637261	−	0.0799100i
$868$	17.6303	−	3.31326i	0.598411	−	0.112459i
$869$	−13.2815	+	16.6544i	−0.450543	+	0.564963i
$870$	−7.34041	−	14.9578i	−0.248863	−	0.507117i
$871$	−7.26703	−	18.5161i	−0.246234	−	0.627394i
$872$	13.0517	+	31.1965i	0.441986	+	1.05645i
$873$	−10.6134	−	4.16544i	−0.359208	−	0.140979i
$874$	14.8039	−	49.2876i	0.500750	−	1.66718i
$875$	14.5660	+	11.1160i	0.492420	+	0.375790i
$876$	5.14143	+	5.37893i	0.173713	+	0.181737i
$877$	−1.50048	−	20.0225i	−0.0506675	−	0.676111i	−0.963488	−	0.267751i	$-0.913720\pi$
$877$	−1.50048	−	20.0225i	−0.0506675	−	0.676111i	0.912821	−	0.408361i	$-0.133899\pi$
$878$	37.2941	+	5.33870i	1.25861	+	0.180172i
$879$	−2.65485	−	3.89395i	−0.0895458	−	0.131340i
$880$	41.7571	−	21.6574i	1.40763	−	0.730069i
$881$		−	46.4699i		−	1.56561i	−0.622267	−	0.782805i	$-0.713788\pi$
$881$		−	46.4699i		−	1.56561i	0.622267	−	0.782805i	$-0.286212\pi$
$882$	8.92755	+	5.45285i	0.300606	+	0.183607i
$883$		−	35.3069i		−	1.18817i	−0.804401	−	0.594086i	$-0.797514\pi$
$883$		−	35.3069i		−	1.18817i	0.804401	−	0.594086i	$-0.202486\pi$
$884$	20.8307	−	3.45636i	0.700611	−	0.116250i
$885$	15.0266	+	22.0400i	0.505114	+	0.740866i
$886$	−4.27418	+	29.8578i	−0.143594	+	1.00309i
$887$	0.231984	+	3.09561i	0.00778927	+	0.103941i	0.999743	−	0.0226583i	$-0.00721297\pi$
$887$	0.231984	+	3.09561i	0.00778927	+	0.103941i	−0.991954	+	0.126599i	$0.959594\pi$
$888$	−19.5678	+	25.6893i	−0.656654	+	0.862075i
$889$	8.82930	+	17.3759i	0.296125	+	0.582770i
$890$	13.6777	+	4.10819i	0.458477	+	0.137707i
$891$	18.8833	+	7.41113i	0.632613	+	0.248282i
$892$	5.11429	+	20.9689i	0.171239	+	0.702090i
$893$	20.8030	+	53.0052i	0.696146	+	1.77375i
$894$	−24.9879	+	12.2626i	−0.835720	+	0.410122i
$895$	26.1262	−	32.7613i	0.873304	−	1.09509i
$896$	20.3254	+	21.9745i	0.679025	+	0.734115i
$897$	−13.0113	−	16.3156i	−0.434434	−	0.544763i
$898$	23.6418	+	11.1701i	0.788936	+	0.372751i
$899$	7.68723	+	7.13271i	0.256384	+	0.237889i
$900$	−1.08396	+	5.09635i	−0.0361321	+	0.169878i
$901$	−30.0166	+	17.3301i	−0.999997	+	0.577349i
$902$	−3.16436	+	46.8879i	−0.105362	+	1.56120i
$903$	−2.32391	−	13.4627i	−0.0773348	−	0.448009i
$904$	−30.8561	−	36.9744i	−1.02626	−	1.22975i
$905$	29.2555	−	27.1451i	0.972484	−	0.902333i
$906$	5.15626	+	16.2865i	0.171305	+	0.541081i
$907$	6.65927	+	44.1813i	0.221117	+	1.46702i	0.773696	+	0.633557i	$0.218406\pi$
$907$	6.65927	+	44.1813i	0.221117	+	1.46702i	−0.552579	+	0.833461i	$0.686356\pi$
$908$	0.851824	−	1.52726i	0.0282688	−	0.0506840i
$909$	−5.61424	+	1.28141i	−0.186213	+	0.0425018i
$910$	2.89597	+	27.8672i	0.0960005	+	0.923788i
$911$	0.968906	+	0.221146i	0.0321013	+	0.00732691i	0.238541	−	0.971132i	$-0.423331\pi$
$911$	0.968906	+	0.221146i	0.0321013	+	0.00732691i	−0.206440	+	0.978459i	$0.566188\pi$
$912$	−33.9311	−	15.1178i	−1.12357	−	0.500600i
$913$	−8.82233	−	5.09357i	−0.291976	−	0.168573i
$914$	21.4563	+	14.3968i	0.709710	+	0.476203i
$915$	0.497065	+	0.338893i	0.0164325	+	0.0112035i
$916$	1.18957	−	1.80161i	0.0393047	−	0.0595270i
$917$	−0.161643	−	1.67624i	−0.00533792	−	0.0553544i
$918$	26.7957	+	15.2067i	0.884389	+	0.501896i
$919$	8.74878	+	28.3629i	0.288596	+	0.935604i	0.977533	+	0.210783i	$0.0676014\pi$
$919$	8.74878	+	28.3629i	0.288596	+	0.935604i	−0.688937	+	0.724821i	$0.741922\pi$
$920$	−31.5759	−	28.0174i	−1.04103	−	0.923706i
$921$	2.14106	−	28.5705i	0.0705503	−	0.941428i
$922$	41.9274	+	9.24314i	1.38081	+	0.304407i
$923$	−32.2368	−	15.5244i	−1.06109	−	0.510993i
$924$	31.5532	−	3.51568i	1.03802	−	0.115657i
$925$	−18.1919	+	8.76078i	−0.598147	+	0.288053i
$926$	−38.0185	+	8.97454i	−1.24936	+	0.294922i
$927$	10.7293	+	3.30955i	0.352397	+	0.108700i
$928$	−3.25876	+	17.1921i	−0.106974	+	0.564357i
$929$	−3.69971	+	24.5460i	−0.121383	+	0.805327i	0.842441	+	0.538789i	$0.181118\pi$
$929$	−3.69971	+	24.5460i	−0.121383	+	0.805327i	−0.963824	+	0.266538i	$0.914120\pi$
$930$	2.85546	+	18.0363i	0.0936341	+	0.591434i
$931$	−43.9341	+	15.6335i	−1.43988	+	0.512368i
$932$	17.4367	−	5.66298i	0.571157	−	0.185497i
$933$	−28.7668	−	4.33590i	−0.941783	−	0.141951i
$934$	−13.9874	+	13.1728i	−0.457682	+	0.431026i
$935$	13.3535	−	43.2911i	0.436707	−	1.41577i
$936$	7.00094	−	4.25236i	0.228833	−	0.138993i
$937$	−11.7377	−	24.3737i	−0.383455	−	0.796253i	−0.999960	−	0.00890227i	$-0.997166\pi$
$937$	−11.7377	−	24.3737i	−0.383455	−	0.796253i	0.616505	−	0.787351i	$-0.288548\pi$
$938$	−4.81781	−	26.7264i	−0.157307	−	0.872649i
$939$	−2.59507	+	5.38871i	−0.0846868	+	0.175854i
$940$	46.6238	+	2.79944i	1.52070	+	0.0913077i
$941$	−6.86212	−	0.514245i	−0.223699	−	0.0167639i	−0.0375909	−	0.999293i	$-0.511968\pi$
$941$	−6.86212	−	0.514245i	−0.223699	−	0.0167639i	−0.186108	+	0.982529i	$0.559587\pi$
$942$	−11.2609	+	6.61328i	−0.366900	+	0.215472i
$943$	40.3001	−	12.4309i	1.31235	−	0.404807i
$944$	1.26420	−	27.9855i	0.0411460	−	0.910850i
$945$	−22.3030	+	34.2606i	−0.725516	+	1.11450i
$946$	16.6412	+	15.2127i	0.541051	+	0.494608i
$947$	−11.6046	+	17.0208i	−0.377099	+	0.553102i	−0.967131	−	0.254277i	$-0.918163\pi$
$947$	−11.6046	+	17.0208i	−0.377099	+	0.553102i	0.590033	+	0.807379i	$0.299115\pi$
$948$	5.80200	−	12.5195i	0.188440	−	0.406616i
$949$	3.65711	−	6.33430i	0.118715	−	0.205620i
$950$	−14.6156	−	18.0512i	−0.474192	−	0.585657i
$951$	2.87777	−	12.6083i	0.0933181	−	0.408853i
$952$	28.8148	+	0.899955i	0.933893	+	0.0291677i
$953$	−4.87669	−	21.3662i	−0.157972	−	0.692118i	−0.990428	−	0.138028i	$-0.955923\pi$
$953$	−4.87669	−	21.3662i	−0.157972	−	0.692118i	0.832457	−	0.554090i	$-0.186934\pi$
$954$	−8.30497	+	10.5740i	−0.268883	+	0.342345i
$955$	−38.6497	+	5.82550i	−1.25067	+	0.188509i
$956$	−16.6699	−	33.3414i	−0.539143	−	1.07834i
$957$	12.6235	+	13.6049i	0.408061	+	0.439785i
$958$	−1.24097	−	3.09429i	−0.0400940	−	0.0999719i
$959$	29.7543	−	21.2299i	0.960815	−	0.685548i
$960$	−22.9544	+	20.0387i	−0.740850	+	0.646747i
$961$	9.75348	+	16.8935i	0.314628	+	0.544952i
$962$	29.6340	+	11.3777i	0.955439	+	0.366831i
$963$	−1.18339	+	1.27539i	−0.0381341	+	0.0410988i
$964$	−9.27797	+	31.7421i	−0.298823	+	1.02234i
$965$	50.7826	−	40.4978i	1.63475	−	1.30367i
$966$	−13.0948	−	25.3041i	−0.421319	−	0.814145i
$967$	−33.3761	−	26.6165i	−1.07330	−	0.855930i	−0.0832356	−	0.996530i	$-0.526525\pi$
$967$	−33.3761	−	26.6165i	−1.07330	−	0.855930i	−0.990066	+	0.140600i	$0.955097\pi$
$968$	−15.2761	+	14.8199i	−0.490991	+	0.476328i
$969$	−33.3030	+	13.0704i	−1.06985	+	0.419883i
$970$	−3.42369	−	41.5497i	−0.109928	−	1.33408i
$971$	4.47540	−	11.4031i	0.143623	−	0.365944i	−0.840903	−	0.541186i	$-0.817975\pi$
$971$	4.47540	−	11.4031i	0.143623	−	0.365944i	0.984525	+	0.175242i	$0.0560707\pi$
$972$	20.6020	+	2.79348i	0.660808	+	0.0896009i
$973$	−5.89464	−	23.5031i	−0.188973	−	0.753474i
$974$	−20.4448	−	29.5145i	−0.655095	−	0.945706i
$975$	−9.39204	+	0.703836i	−0.300786	+	0.0225408i
$976$	−0.204046	−	0.597940i	−0.00653134	−	0.0191396i
$977$	−3.00131	+	2.04626i	−0.0960204	+	0.0654656i	−0.610378	−	0.792110i	$-0.708983\pi$
$977$	−3.00131	+	2.04626i	−0.0960204	+	0.0654656i	0.514358	+	0.857576i	$0.328030\pi$
$978$	0.297750	+	40.1581i	0.00952100	+	1.28411i
$979$	−15.9077			−0.508411
$980$	−3.51808	+	38.0897i	−0.112381	+	1.21673i
$981$	12.6343			0.403382
$982$	−0.120481	−	16.2495i	−0.00384472	−	0.518544i
$983$	−16.1781	+	11.0300i	−0.516001	+	0.351804i	−0.793153	−	0.609023i	$-0.791562\pi$
$983$	−16.1781	+	11.0300i	−0.516001	+	0.351804i	0.277152	+	0.960826i	$0.410609\pi$
$984$	−5.20545	−	29.9932i	−0.165944	−	0.956149i
$985$	−44.0569	+	3.30161i	−1.40377	+	0.105198i
$986$	9.59636	+	13.8535i	0.305610	+	0.441184i
$987$	28.6881	+	13.0690i	0.913151	+	0.415991i
$988$	−4.90615	+	36.1830i	−0.156086	+	1.15113i
$989$	7.39224	−	18.8351i	0.235060	−	0.598922i
$990$	−1.44324	−	17.5151i	−0.0458691	−	0.556665i
$991$	5.48983	−	2.15460i	0.174390	−	0.0684431i	−0.276540	−	0.961003i	$-0.589188\pi$
$991$	5.48983	−	2.15460i	0.174390	−	0.0684431i	0.450930	+	0.892559i	$0.351092\pi$
$992$	8.96662	−	16.9522i	0.284691	−	0.538233i
$993$	9.65916	+	7.70293i	0.306524	+	0.244445i
$994$	−39.0526	−	29.3473i	−1.23867	−	0.930841i
$995$	−29.5132	+	23.5360i	−0.935632	+	0.746141i
$996$	6.33388	+	1.85134i	0.200697	+	0.0586621i
$997$	−17.8659	+	19.2549i	−0.565819	+	0.609808i	−0.949542	−	0.313640i	$-0.898451\pi$
$997$	−17.8659	+	19.2549i	−0.565819	+	0.609808i	0.383722	+	0.923448i	$0.374642\pi$
$998$	−24.5305	−	9.41824i	−0.776501	−	0.298129i
$999$	23.1585	+	40.1117i	0.732702	+	1.26908i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	196.2.p.a.59.1	✓	312
4.3	odd	2	inner	196.2.p.a.59.4	yes	312
49.5	odd	42	inner	196.2.p.a.103.4	yes	312
196.103	even	42	inner	196.2.p.a.103.1	yes	312

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
196.2.p.a.59.1	✓	312	1.1	even	1	trivial
196.2.p.a.59.4	yes	312	4.3	odd	2	inner
196.2.p.a.103.1	yes	312	196.103	even	42	inner
196.2.p.a.103.4	yes	312	49.5	odd	42	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:	\( N \)	\(=\)	\( 196 = 2^{2} \cdot 7^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	196.p (of order \(42\), degree \(12\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.41417 + 0.0104853i) q^{2} +(-1.15179 + 0.785275i) q^{3} +(1.99978 - 0.0296562i) q^{4} +(2.72463 - 0.204183i) q^{5} +(1.62059 - 1.12259i) q^{6} +(-1.69335 - 2.03287i) q^{7} +(-2.82773 + 0.0629074i) q^{8} +(-0.386067 + 0.983684i) q^{9} +(-3.85097 + 0.317319i) q^{10} +(4.00653 - 1.57245i) q^{11} +(-2.28003 + 1.60453i) q^{12} +(2.14265 + 1.70870i) q^{13} +(2.41601 + 2.85708i) q^{14} +(-2.97786 + 2.37476i) q^{15} +(3.99824 - 0.118612i) q^{16} +(2.62031 - 2.82402i) q^{17} +(0.535652 - 1.39515i) q^{18} +(3.33091 + 5.76930i) q^{19} +(5.44261 - 0.489123i) q^{20} +(3.54674 + 1.01169i) q^{21} +(-5.64944 + 2.26572i) q^{22} +(3.71540 + 4.00425i) q^{23} +(3.20754 - 2.29300i) q^{24} +(2.43778 - 0.367436i) q^{25} +(-3.04799 - 2.39394i) q^{26} +(-1.25839 - 5.51335i) q^{27} +(-3.44662 - 4.01507i) q^{28} +(0.688317 - 3.01572i) q^{29} +(4.18631 - 3.38955i) q^{30} +(-1.69507 + 2.93595i) q^{31} +(-5.65297 + 0.209661i) q^{32} +(-3.37986 + 4.95735i) q^{33} +(-3.67596 + 4.02113i) q^{34} +(-5.02884 - 5.19307i) q^{35} +(-0.742878 + 1.97860i) q^{36} +(-7.82638 + 2.41412i) q^{37} +(-4.77098 - 8.12387i) q^{38} +(-3.80968 - 0.285496i) q^{39} +(-7.69167 + 0.748773i) q^{40} +(3.34988 - 6.95609i) q^{41} +(-5.02632 - 1.39351i) q^{42} +(-1.60718 - 3.33735i) q^{43} +(7.96554 - 3.26336i) q^{44} +(-0.851040 + 2.75900i) q^{45} +(-5.29621 - 5.62375i) q^{46} +(8.45195 + 1.27393i) q^{47} +(-4.51198 + 3.27633i) q^{48} +(-1.26512 + 6.88473i) q^{49} +(-3.44359 + 0.545179i) q^{50} +(-0.800404 + 5.31033i) q^{51} +(4.33550 + 3.35349i) q^{52} +(-8.59728 - 2.65191i) q^{53} +(1.83739 + 7.78364i) q^{54} +(10.5952 - 5.10240i) q^{55} +(4.91622 + 5.64188i) q^{56} +(-8.36698 - 4.02932i) q^{57} +(-0.941780 + 4.27197i) q^{58} +(0.523373 - 6.98392i) q^{59} +(-5.88463 + 4.83731i) q^{60} +(-0.0465563 - 0.150932i) q^{61} +(2.36634 - 4.16972i) q^{62} +(2.65345 - 0.880897i) q^{63} +(7.99209 - 0.355770i) q^{64} +(6.18682 + 4.21810i) q^{65} +(4.72774 - 7.04599i) q^{66} +(-6.28567 - 3.62903i) q^{67} +(5.15629 - 5.72513i) q^{68} +(-7.42378 - 1.69443i) q^{69} +(7.16611 + 7.29118i) q^{70} +(-12.7285 + 2.90520i) q^{71} +(1.02981 - 2.80588i) q^{72} +(-0.397777 - 2.63908i) q^{73} +(11.0426 - 3.49605i) q^{74} +(-2.51926 + 2.33753i) q^{75} +(6.83218 + 11.4385i) q^{76} +(-9.98104 - 5.48204i) q^{77} +(5.39054 + 0.363795i) q^{78} +(-4.28618 + 2.47463i) q^{79} +(10.8695 - 1.13955i) q^{80} +(3.45496 + 3.20574i) q^{81} +(-4.66438 + 9.87226i) q^{82} +(-1.47572 - 1.85050i) q^{83} +(7.12270 + 1.91797i) q^{84} +(6.56276 - 8.22944i) q^{85} +(2.30783 + 4.70274i) q^{86} +(1.57537 + 4.01398i) q^{87} +(-11.2304 + 4.69849i) q^{88} +(-3.44049 - 1.35029i) q^{89} +(1.17459 - 3.91064i) q^{90} +(-0.154682 - 7.24916i) q^{91} +(7.54873 + 7.89743i) q^{92} +(-0.353166 - 4.71268i) q^{93} +(-11.9659 - 1.71293i) q^{94} +(10.2535 + 15.0391i) q^{95} +(6.34637 - 4.68062i) q^{96} +10.7894i q^{97} +(1.71691 - 9.74947i) q^{98} +4.54822i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 312 q - 13 q^{2} - 13 q^{4} - 22 q^{5} - 14 q^{6} - 4 q^{8} - 4 q^{9} - 20 q^{10} + 9 q^{12} - 28 q^{13} - 51 q^{14} - 17 q^{16} - 22 q^{17} - 12 q^{18} - 14 q^{20} - 34 q^{21} - 18 q^{22} - 44 q^{24} - 48 q^{25}+ \cdots + 183 q^{98}+O(q^{100}) \) 312 * q - 13 * q^2 - 13 * q^4 - 22 * q^5 - 14 * q^6 - 4 * q^8 - 4 * q^9 - 20 * q^10 + 9 * q^12 - 28 * q^13 - 51 * q^14 - 17 * q^16 - 22 * q^17 - 12 * q^18 - 14 * q^20 - 34 * q^21 - 18 * q^22 - 44 * q^24 - 48 * q^25 - 2 * q^26 - 36 * q^28 - 11 * q^30 - 13 * q^32 - 34 * q^33 - 98 * q^34 - 4 * q^36 - 58 * q^37 - 18 * q^38 + 30 * q^40 - 28 * q^41 - 26 * q^42 + 16 * q^44 - 28 * q^45 - 14 * q^46 - 24 * q^49 + 96 * q^50 - 14 * q^52 - 22 * q^53 - 17 * q^54 + 40 * q^56 + 34 * q^57 - 12 * q^58 + 98 * q^60 - 38 * q^61 - 4 * q^64 - 32 * q^65 - 176 * q^66 - 21 * q^68 + 28 * q^69 + 50 * q^70 - 120 * q^72 - 58 * q^73 - 14 * q^74 - 91 * q^76 - 18 * q^77 - 112 * q^78 + 66 * q^80 - 170 * q^81 + 114 * q^82 + 140 * q^84 - 24 * q^85 + 97 * q^86 + 127 * q^88 - 82 * q^89 + 266 * q^90 + 34 * q^92 + 226 * q^94 + 122 * q^96 + 183 * q^98

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

Related objects

Downloads

Learn more