LMFDB - Embedded newform 197.2.g.a.16.3

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [197,2,Mod(16,197)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(197, base_ring=CyclotomicField(98))

chi = DirichletCharacter(H, H._module([2]))

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

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

chi := DirichletCharacter("197.16");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 197 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	197.g (of order $49$, degree $42$, 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:	$1.57305291982$
Analytic rank:	$0$
Dimension:	$630$
Relative dimension:	$15$ over $\Q(\zeta_{49})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{49}]$

Embedding invariants

Embedding label			16.3
Character	$\chi$	$=$	197.16
Dual form			197.2.g.a.37.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-2.04022 - 0.130987i) q^{2} +(0.485195 - 0.695563i) q^{3} +(2.16177 + 0.278730i) q^{4} +(-1.49439 + 0.972737i) q^{5} +(-1.08102 + 1.35555i) q^{6} +(-0.633099 + 0.0406463i) q^{7} +(-0.360546 - 0.0702164i) q^{8} +(0.787701 + 2.14044i) q^{9} +(3.17630 - 1.78886i) q^{10} +(-1.04784 + 3.53051i) q^{11} +(1.24276 - 1.36841i) q^{12} +(0.125320 - 3.90795i) q^{13} +1.29699 q^{14} +(-0.0484678 + 1.51141i) q^{15} +(-3.49037 - 0.915282i) q^{16} +(4.47384 + 4.33267i) q^{17} +(-1.32672 - 4.47015i) q^{18} +(6.25775 + 3.01357i) q^{19} +(-3.50165 + 1.68631i) q^{20} +(-0.278904 + 0.460081i) q^{21} +(2.60027 - 7.06578i) q^{22} +(0.485573 + 3.00344i) q^{23} +(-0.223775 + 0.216714i) q^{24} +(-0.736947 + 1.66478i) q^{25} +(-0.767571 + 7.95668i) q^{26} +(4.33200 + 1.13598i) q^{27} +(-1.37995 - 0.0885954i) q^{28} +(-3.79779 + 4.18179i) q^{29} +(0.296859 - 3.07726i) q^{30} +(1.42793 - 0.578103i) q^{31} +(7.69846 + 2.55606i) q^{32} +(1.94729 + 2.44182i) q^{33} +(-8.56011 - 9.42563i) q^{34} +(0.906555 - 0.676580i) q^{35} +(1.10623 + 4.84670i) q^{36} +(4.19153 - 1.09915i) q^{37} +(-12.3725 - 6.96804i) q^{38} +(-2.65742 - 1.98328i) q^{39} +(0.607097 - 0.245786i) q^{40} +(-8.92961 - 8.64784i) q^{41} +(0.629291 - 0.902136i) q^{42} +(-0.579286 + 1.95181i) q^{43} +(-3.24925 + 7.34010i) q^{44} +(-3.25921 - 2.43241i) q^{45} +(-0.597267 - 6.19130i) q^{46} +(-4.60337 - 8.82380i) q^{47} +(-2.33014 + 1.98368i) q^{48} +(-6.54337 + 0.843674i) q^{49} +(1.72160 - 3.29998i) q^{50} +(5.18433 - 1.00965i) q^{51} +(1.36018 - 8.41317i) q^{52} +(0.123319 + 1.27833i) q^{53} +(-8.68944 - 2.88509i) q^{54} +(-1.86839 - 6.29521i) q^{55} +(0.231115 + 0.0297990i) q^{56} +(5.13236 - 2.89049i) q^{57} +(8.29611 - 8.03433i) q^{58} +(4.83916 + 2.72536i) q^{59} +(-0.526051 + 3.25381i) q^{60} +(0.948464 + 1.35969i) q^{61} +(-2.98901 + 0.992421i) q^{62} +(-0.585693 - 1.32309i) q^{63} +(-8.68242 - 3.51512i) q^{64} +(3.61413 + 5.96189i) q^{65} +(-3.65306 - 5.23693i) q^{66} +(2.11573 + 4.05546i) q^{67} +(8.46378 + 10.6132i) q^{68} +(2.32468 + 1.11951i) q^{69} +(-1.93820 + 1.26163i) q^{70} +(-0.504901 - 1.37198i) q^{71} +(-0.133709 - 0.827037i) q^{72} +(-6.21870 + 1.63074i) q^{73} +(-8.69563 + 1.69347i) q^{74} +(0.800394 + 1.32033i) q^{75} +(12.6879 + 8.25889i) q^{76} +(0.519882 - 2.27775i) q^{77} +(5.16195 + 4.39443i) q^{78} +(3.38239 + 2.20169i) q^{79} +(6.10628 - 2.02743i) q^{80} +(-2.31806 + 1.97339i) q^{81} +(17.0856 + 18.8132i) q^{82} +(0.339283 - 0.163390i) q^{83} +(-0.731166 + 0.916853i) q^{84} +(-10.9002 - 2.12281i) q^{85} +(1.43753 - 3.90624i) q^{86} +(1.06603 + 4.67059i) q^{87} +(0.625693 - 1.19934i) q^{88} +(-3.75709 - 1.52108i) q^{89} +(6.33091 + 5.38958i) q^{90} +(0.0795035 + 2.47921i) q^{91} +(0.212551 + 6.62811i) q^{92} +(0.290715 - 1.27371i) q^{93} +(8.23610 + 18.6055i) q^{94} +(-12.2829 + 1.58370i) q^{95} +(5.51315 - 4.11457i) q^{96} +(9.91194 - 16.3508i) q^{97} +(13.4604 - 0.864189i) q^{98} +(-8.38222 + 0.538157i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 630 q - 42 q^{2} - 42 q^{3} - 28 q^{4} - 42 q^{5} - 21 q^{6} - 28 q^{7} - 28 q^{8} - 42 q^{9} - 28 q^{10} - 28 q^{11} - 28 q^{12} - 42 q^{13} - 28 q^{14} - 154 q^{15} - 42 q^{17} - 21 q^{18} - 7 q^{19}+ \cdots - 161 q^{99}+O(q^{100}) $ 630 * q - 42 * q^2 - 42 * q^3 - 28 * q^4 - 42 * q^5 - 21 * q^6 - 28 * q^7 - 28 * q^8 - 42 * q^9 - 28 * q^10 - 28 * q^11 - 28 * q^12 - 42 * q^13 - 28 * q^14 - 154 * q^15 - 42 * q^17 - 21 * q^18 - 7 * q^19 - 35 * q^20 - 42 * q^21 - 42 * q^23 + 28 * q^24 - 42 * q^25 - 7 * q^26 + 42 * q^27 - 49 * q^28 - 182 * q^29 + 77 * q^30 - 14 * q^31 - 28 * q^32 + 35 * q^33 - 14 * q^34 - 42 * q^35 + 84 * q^36 + 14 * q^37 - 28 * q^38 - 21 * q^39 + 28 * q^40 - 28 * q^41 - 112 * q^42 - 56 * q^43 - 210 * q^44 + 49 * q^45 - 7 * q^47 + 42 * q^48 + 42 * q^49 + 98 * q^50 - 14 * q^51 + 49 * q^52 - 42 * q^53 + 63 * q^54 - 161 * q^56 - 175 * q^57 - 42 * q^58 + 42 * q^59 + 126 * q^60 - 14 * q^61 + 42 * q^62 + 49 * q^63 + 98 * q^64 + 56 * q^65 + 175 * q^66 + 28 * q^67 + 273 * q^68 - 7 * q^69 - 252 * q^70 - 77 * q^71 - 364 * q^72 - 28 * q^73 + 35 * q^74 + 7 * q^75 + 133 * q^76 + 21 * q^77 + 210 * q^78 + 42 * q^79 - 14 * q^80 - 14 * q^81 - 42 * q^82 + 161 * q^83 - 245 * q^84 - 266 * q^85 - 147 * q^86 - 35 * q^87 + 77 * q^88 + 28 * q^89 + 315 * q^90 + 154 * q^91 + 84 * q^92 - 7 * q^93 + 182 * q^94 + 126 * q^95 + 245 * q^96 + 42 * q^97 - 308 * q^98 - 161 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/197\mathbb{Z}\right)^\times$.

$n$	$2$
$\chi(n)$	$e\left(\frac{1}{49}\right)$

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 $

$2$	−2.04022	−	0.130987i	−1.44266	−	0.0926216i	−0.677053	−	0.735935i	$-0.736743\pi$
$2$	−2.04022	−	0.130987i	−1.44266	−	0.0926216i	−0.765603	+	0.643313i	$0.777559\pi$
$3$	0.485195	−	0.695563i	0.280127	−	0.401584i	−0.655150	−	0.755499i	$-0.727395\pi$
$3$	0.485195	−	0.695563i	0.280127	−	0.401584i	0.935278	+	0.353915i	$0.115150\pi$
$4$	2.16177	+	0.278730i	1.08089	+	0.139365i
$5$	−1.49439	+	0.972737i	−0.668309	+	0.435021i	−0.834452	−	0.551081i	$-0.814216\pi$
$5$	−1.49439	+	0.972737i	−0.668309	+	0.435021i	0.166143	+	0.986102i	$0.446869\pi$
$6$	−1.08102	+	1.35555i	−0.441323	+	0.553401i
$7$	−0.633099	+	0.0406463i	−0.239289	+	0.0153628i	−0.183252	−	0.983066i	$-0.558663\pi$
$7$	−0.633099	+	0.0406463i	−0.239289	+	0.0153628i	−0.0560363	+	0.998429i	$0.517846\pi$
$8$	−0.360546	−	0.0702164i	−0.127472	−	0.0248252i
$9$	0.787701	+	2.14044i	0.262567	+	0.713479i
$10$	3.17630	−	1.78886i	1.00443	−	0.565686i
$11$	−1.04784	+	3.53051i	−0.315935	+	1.06449i	0.639378	+	0.768892i	$0.279192\pi$
$11$	−1.04784	+	3.53051i	−0.315935	+	1.06449i	−0.955313	+	0.295596i	$0.904482\pi$
$12$	1.24276	−	1.36841i	0.358753	−	0.395026i
$13$	0.125320	−	3.90795i	0.0347576	−	1.08387i	−0.822430	−	0.568866i	$-0.807382\pi$
$13$	0.125320	−	3.90795i	0.0347576	−	1.08387i	0.857188	−	0.515004i	$-0.172210\pi$
$14$	1.29699			0.346634
$15$	−0.0484678	+	1.51141i	−0.0125143	+	0.390243i
$16$	−3.49037	−	0.915282i	−0.872592	−	0.228821i
$17$	4.47384	+	4.33267i	1.08507	+	1.05083i	0.998509	+	0.0545799i	$0.0173820\pi$
$17$	4.47384	+	4.33267i	1.08507	+	1.05083i	0.0865557	+	0.996247i	$0.472414\pi$
$18$	−1.32672	−	4.47015i	−0.312710	−	1.05362i
$19$	6.25775	+	3.01357i	1.43563	+	0.691361i	0.980034	−	0.198828i	$-0.0637135\pi$
$19$	6.25775	+	3.01357i	1.43563	+	0.691361i	0.455592	+	0.890189i	$0.349428\pi$
$20$	−3.50165	+	1.68631i	−0.782994	+	0.377070i
$21$	−0.278904	+	0.460081i	−0.0608618	+	0.100398i
$22$	2.60027	−	7.06578i	0.554380	−	1.50643i
$23$	0.485573	+	3.00344i	0.101249	+	0.626261i	0.986828	+	0.161772i	$0.0517210\pi$
$23$	0.485573	+	3.00344i	0.101249	+	0.626261i	−0.885579	+	0.464489i	$0.846238\pi$
$24$	−0.223775	+	0.216714i	−0.0456779	+	0.0442366i
$25$	−0.736947	+	1.66478i	−0.147389	+	0.332955i
$26$	−0.767571	+	7.95668i	−0.150533	+	1.56043i
$27$	4.33200	+	1.13598i	0.833693	+	0.218620i
$28$	−1.37995	−	0.0885954i	−0.260785	−	0.0167430i
$29$	−3.79779	+	4.18179i	−0.705233	+	0.776540i	−0.982900	−	0.184138i	$-0.941051\pi$
$29$	−3.79779	+	4.18179i	−0.705233	+	0.776540i	0.277668	+	0.960677i	$0.410439\pi$
$30$	0.296859	−	3.07726i	0.0541988	−	0.561828i
$31$	1.42793	−	0.578103i	0.256463	−	0.103830i	−0.243427	−	0.969919i	$-0.578272\pi$
$31$	1.42793	−	0.578103i	0.256463	−	0.103830i	0.499890	+	0.866089i	$0.333374\pi$
$32$	7.69846	+	2.55606i	1.36091	+	0.451852i
$33$	1.94729	+	2.44182i	0.338979	+	0.425067i
$34$	−8.56011	−	9.42563i	−1.46805	−	1.61648i
$35$	0.906555	−	0.676580i	0.153236	−	0.114363i
$36$	1.10623	+	4.84670i	0.184371	+	0.807783i
$37$	4.19153	−	1.09915i	0.689083	−	0.180699i	0.107523	−	0.994203i	$-0.465708\pi$
$37$	4.19153	−	1.09915i	0.689083	−	0.180699i	0.581560	+	0.813504i	$0.302443\pi$
$38$	−12.3725	−	6.96804i	−2.00708	−	1.13037i
$39$	−2.65742	−	1.98328i	−0.425528	−	0.317580i
$40$	0.607097	−	0.245786i	0.0959905	−	0.0388622i
$41$	−8.92961	−	8.64784i	−1.39457	−	1.35057i	−0.864519	−	0.502601i	$-0.832377\pi$
$41$	−8.92961	−	8.64784i	−1.39457	−	1.35057i	−0.530052	−	0.847965i	$-0.677828\pi$
$42$	0.629291	−	0.902136i	0.0971017	−	0.139203i
$43$	−0.579286	+	1.95181i	−0.0883403	+	0.297648i	−0.991216	−	0.132254i	$-0.957778\pi$
$43$	−0.579286	+	1.95181i	−0.0883403	+	0.297648i	0.902876	+	0.429902i	$0.141452\pi$
$44$	−3.24925	+	7.34010i	−0.489842	+	1.10656i
$45$	−3.25921	−	2.43241i	−0.485855	−	0.362603i
$46$	−0.597267	−	6.19130i	−0.0880622	−	0.912857i
$47$	−4.60337	−	8.82380i	−0.671471	−	1.28708i	−0.945582	−	0.325385i	$-0.894506\pi$
$47$	−4.60337	−	8.82380i	−0.671471	−	1.28708i	0.274111	−	0.961698i	$-0.411616\pi$
$48$	−2.33014	+	1.98368i	−0.336327	+	0.286320i
$49$	−6.54337	+	0.843674i	−0.934767	+	0.120525i
$50$	1.72160	−	3.29998i	0.243471	−	0.466688i
$51$	5.18433	−	1.00965i	0.725951	−	0.141379i
$52$	1.36018	−	8.41317i	0.188623	−	1.16670i
$53$	0.123319	+	1.27833i	0.0169392	+	0.175592i	0.999969	−	0.00785273i	$-0.00249963\pi$
$53$	0.123319	+	1.27833i	0.0169392	+	0.175592i	−0.983030	+	0.183445i	$0.941275\pi$
$54$	−8.68944	−	2.88509i	−1.18248	−	0.392612i
$55$	−1.86839	−	6.29521i	−0.251933	−	0.848846i
$56$	0.231115	+	0.0297990i	0.0308841	+	0.00398206i
$57$	5.13236	−	2.89049i	0.679797	−	0.382855i
$58$	8.29611	−	8.03433i	1.08933	−	1.05496i
$59$	4.83916	+	2.72536i	0.630005	+	0.354812i	0.772529	−	0.634979i	$-0.218991\pi$
$59$	4.83916	+	2.72536i	0.630005	+	0.354812i	−0.142524	+	0.989791i	$0.545522\pi$
$60$	−0.526051	+	3.25381i	−0.0679128	+	0.420065i
$61$	0.948464	+	1.35969i	0.121438	+	0.174091i	0.876259	−	0.481840i	$-0.160031\pi$
$61$	0.948464	+	1.35969i	0.121438	+	0.174091i	−0.754821	+	0.655931i	$0.772276\pi$
$62$	−2.98901	+	0.992421i	−0.379605	+	0.126038i
$63$	−0.585693	−	1.32309i	−0.0737904	−	0.166694i
$64$	−8.68242	−	3.51512i	−1.08530	−	0.439390i
$65$	3.61413	+	5.96189i	0.448278	+	0.739481i
$66$	−3.65306	−	5.23693i	−0.449660	−	0.644622i
$67$	2.11573	+	4.05546i	0.258477	+	0.495453i	0.980526	−	0.196390i	$-0.0629217\pi$
$67$	2.11573	+	4.05546i	0.258477	+	0.495453i	−0.722048	+	0.691842i	$0.756799\pi$
$68$	8.46378	+	10.6132i	1.02638	+	1.28705i
$69$	2.32468	+	1.11951i	0.279859	+	0.134773i
$70$	−1.93820	+	1.26163i	−0.231659	+	0.150793i
$71$	−0.504901	−	1.37198i	−0.0599207	−	0.162824i	0.904970	−	0.425475i	$-0.139893\pi$
$71$	−0.504901	−	1.37198i	−0.0599207	−	0.162824i	−0.964891	+	0.262651i	$0.915403\pi$
$72$	−0.133709	−	0.827037i	−0.0157577	−	0.0974672i
$73$	−6.21870	+	1.63074i	−0.727844	+	0.190863i	−0.598940	−	0.800794i	$-0.704411\pi$
$73$	−6.21870	+	1.63074i	−0.727844	+	0.190863i	−0.128904	+	0.991657i	$0.541146\pi$
$74$	−8.69563	+	1.69347i	−1.01085	+	0.196862i
$75$	0.800394	+	1.32033i	0.0924215	+	0.152459i
$76$	12.6879	+	8.25889i	1.45540	+	0.947359i
$77$	0.519882	−	2.27775i	0.0592460	−	0.259574i
$78$	5.16195	+	4.39443i	0.584476	+	0.497571i
$79$	3.38239	+	2.20169i	0.380548	+	0.247709i	0.721563	−	0.692348i	$-0.243424\pi$
$79$	3.38239	+	2.20169i	0.380548	+	0.247709i	−0.341015	+	0.940058i	$0.610771\pi$
$80$	6.10628	−	2.02743i	0.682703	−	0.226673i
$81$	−2.31806	+	1.97339i	−0.257562	+	0.219266i
$82$	17.0856	+	18.8132i	1.88679	+	2.07757i
$83$	0.339283	−	0.163390i	0.0372411	−	0.0179344i	−0.415171	−	0.909744i	$-0.636278\pi$
$83$	0.339283	−	0.163390i	0.0372411	−	0.0179344i	0.452412	+	0.891809i	$0.350564\pi$
$84$	−0.731166	+	0.916853i	−0.0797767	+	0.100037i
$85$	−10.9002	−	2.12281i	−1.18229	−	0.230251i
$86$	1.43753	−	3.90624i	0.155013	−	0.421221i
$87$	1.06603	+	4.67059i	0.114291	+	0.500740i
$88$	0.625693	−	1.19934i	0.0666991	−	0.127850i
$89$	−3.75709	−	1.52108i	−0.398251	−	0.161234i	0.167380	−	0.985892i	$-0.446469\pi$
$89$	−3.75709	−	1.52108i	−0.398251	−	0.161234i	−0.565631	+	0.824658i	$0.691367\pi$
$90$	6.33091	+	5.38958i	0.667336	+	0.568112i
$91$	0.0795035	+	2.47921i	0.00833423	+	0.259892i
$92$	0.212551	+	6.62811i	0.0221599	+	0.691028i
$93$	0.290715	−	1.27371i	0.0301457	−	0.132077i
$94$	8.23610	+	18.6055i	0.849489	+	1.91901i
$95$	−12.2829	+	1.58370i	−1.26020	+	0.162485i
$96$	5.51315	−	4.11457i	0.562684	−	0.419942i
$97$	9.91194	−	16.3508i	1.00641	−	1.66017i	0.297710	−	0.954656i	$-0.403777\pi$
$97$	9.91194	−	16.3508i	1.00641	−	1.66017i	0.708696	−	0.705514i	$-0.249284\pi$
$98$	13.4604	−	0.864189i	1.35971	−	0.0872963i
$99$	−8.38222	+	0.538157i	−0.842445	+	0.0540868i
$100$	−2.05714	+	3.39346i	−0.205714	+	0.339346i
$101$	4.90992	−	3.66437i	0.488556	−	0.364619i	−0.325371	−	0.945587i	$-0.605489\pi$
$101$	4.90992	−	3.66437i	0.488556	−	0.364619i	0.813926	+	0.580968i	$0.197326\pi$
$102$	−10.7094	+	1.38083i	−1.06039	+	0.136722i
$103$	2.26358	+	5.11347i	0.223037	+	0.503846i	0.990544	−	0.137196i	$-0.0438089\pi$
$103$	2.26358	+	5.11347i	0.223037	+	0.503846i	−0.767506	+	0.641041i	$0.778503\pi$
$104$	−0.319586	+	1.40020i	−0.0313380	+	0.137301i
$105$	−0.0307481	−	0.958839i	−0.00300071	−	0.0935731i
$106$	−0.0841540	−	2.62423i	−0.00817376	−	0.254888i
$107$	7.28125	+	6.19862i	0.703905	+	0.599243i	0.926780	−	0.375604i	$-0.122565\pi$
$107$	7.28125	+	6.19862i	0.703905	+	0.599243i	−0.222876	+	0.974847i	$0.571544\pi$
$108$	9.04817	+	3.66320i	0.870660	+	0.352491i
$109$	2.03394	−	3.89868i	0.194816	−	0.373426i	−0.769308	−	0.638878i	$-0.779399\pi$
$109$	2.03394	−	3.89868i	0.194816	−	0.373426i	0.964124	+	0.265452i	$0.0855212\pi$
$110$	2.98734	+	13.0884i	0.284831	+	1.24793i
$111$	1.26918	−	3.44877i	0.120465	−	0.327343i
$112$	2.24695	+	0.437593i	0.212317	+	0.0413487i
$113$	−0.650981	+	0.816304i	−0.0612391	+	0.0767914i	−0.811508	−	0.584342i	$-0.801353\pi$
$113$	−0.650981	+	0.816304i	−0.0612391	+	0.0767914i	0.750269	+	0.661133i	$0.229924\pi$
$114$	−10.8498	+	5.22497i	−1.01617	+	0.489364i
$115$	−3.64719	−	4.01596i	−0.340102	−	0.374491i
$116$	−9.37556	+	7.98153i	−0.870499	+	0.741067i
$117$	8.46344	−	2.81006i	0.782445	−	0.259790i
$118$	−9.51598	−	6.19422i	−0.876017	−	0.570224i
$119$	−3.00849	−	2.56116i	−0.275788	−	0.234781i
$120$	0.123600	−	0.541529i	0.0112831	−	0.0494346i
$121$	−2.14757	−	1.39791i	−0.195234	−	0.127083i
$122$	−1.75698	−	2.89832i	−0.159069	−	0.262401i
$123$	−10.3477	+	2.01522i	−0.933022	+	0.181706i
$124$	3.24799	−	0.851723i	0.291678	−	0.0764870i
$125$	−1.94101	−	12.0058i	−0.173609	−	1.07383i
$126$	1.02164	+	2.77612i	0.0910147	+	0.247316i
$127$	13.8452	−	9.01224i	1.22856	−	0.799707i	0.243168	−	0.969984i	$-0.421813\pi$
$127$	13.8452	−	9.01224i	1.22856	−	0.799707i	0.985396	+	0.170277i	$0.0544663\pi$
$128$	2.63687	+	1.26985i	0.233068	+	0.112240i
$129$	1.07654	+	1.34994i	0.0947839	+	0.118855i
$130$	−6.59271	−	12.6370i	−0.578219	−	1.10834i
$131$	10.1432	+	14.5411i	0.886217	+	1.27046i	0.961921	+	0.273329i	$0.0881247\pi$
$131$	10.1432	+	14.5411i	0.886217	+	1.27046i	−0.0757032	+	0.997130i	$0.524120\pi$
$132$	3.52899	+	5.82143i	0.307159	+	0.506691i
$133$	−4.08426	−	1.65353i	−0.354150	−	0.143380i
$134$	−3.78535	−	8.55117i	−0.327004	−	0.738709i
$135$	−7.57869	+	2.51630i	−0.652269	+	0.216568i
$136$	−1.30880	−	1.87626i	−0.112229	−	0.160888i
$137$	3.42267	−	21.1704i	0.292418	−	1.80871i	−0.249605	−	0.968348i	$-0.580301\pi$
$137$	3.42267	−	21.1704i	0.292418	−	1.80871i	0.542024	−	0.840363i	$-0.317658\pi$
$138$	−4.59623	−	2.58855i	−0.391257	−	0.220352i
$139$	−9.09004	+	8.80321i	−0.771007	+	0.746679i	−0.972523	−	0.232806i	$-0.925209\pi$
$139$	−9.09004	+	8.80321i	−0.771007	+	0.746679i	0.201516	+	0.979485i	$0.435413\pi$
$140$	2.14835	−	1.20993i	0.181569	−	0.102258i
$141$	−8.37104	−	1.07933i	−0.704969	−	0.0908956i
$142$	0.850400	+	2.86528i	0.0713639	+	0.240449i
$143$	13.6657	+	4.53734i	1.14279	+	0.379431i
$144$	−0.790261	−	8.19189i	−0.0658551	−	0.682657i
$145$	1.60758	−	9.94347i	0.133502	−	0.825760i
$146$	12.9011	−	2.51250i	1.06771	−	0.207936i
$147$	−2.58798	+	4.96067i	−0.213453	+	0.409149i
$148$	9.36750	−	1.20781i	0.770004	−	0.0992810i
$149$	−7.23260	+	6.15720i	−0.592518	+	0.504418i	−0.893411	−	0.449240i	$-0.851695\pi$
$149$	−7.23260	+	6.15720i	−0.592518	+	0.504418i	0.300893	+	0.953658i	$0.402715\pi$
$150$	−1.46004	−	2.79862i	−0.119211	−	0.228506i
$151$	1.49329	+	15.4795i	0.121522	+	1.25970i	0.831518	+	0.555498i	$0.187472\pi$
$151$	1.49329	+	15.4795i	0.121522	+	1.25970i	−0.709996	+	0.704206i	$0.751303\pi$
$152$	−2.04461	−	1.52593i	−0.165839	−	0.123769i
$153$	−5.74977	+	12.9888i	−0.464841	+	1.05008i
$154$	−1.35903	+	4.57902i	−0.109514	+	0.368988i
$155$	−1.57153	+	2.25291i	−0.126228	+	0.180958i
$156$	−5.19194	−	5.02812i	−0.415688	−	0.402571i
$157$	0.134392	−	0.0544091i	0.0107256	−	0.00434232i	−0.369898	−	0.929072i	$-0.620607\pi$
$157$	0.134392	−	0.0544091i	0.0107256	−	0.00434232i	0.380624	+	0.924730i	$0.375709\pi$
$158$	−6.61243	−	4.93499i	−0.526057	−	0.392606i
$159$	0.948992	+	0.534463i	0.0752600	+	0.0423856i
$160$	−13.9908	+	3.66883i	−1.10607	+	0.290046i
$161$	−0.429494	−	1.88174i	−0.0338489	−	0.148302i
$162$	4.98784	−	3.72252i	0.391882	−	0.292469i
$163$	−6.95524	−	7.65849i	−0.544776	−	0.599859i	0.404409	−	0.914578i	$-0.367477\pi$
$163$	−6.95524	−	7.65849i	−0.544776	−	0.599859i	−0.949185	+	0.314719i	$0.898090\pi$
$164$	−16.8934	−	21.1836i	−1.31915	−	1.65416i
$165$	−5.28525	−	1.75482i	−0.411456	−	0.136613i
$166$	−0.713614	+	0.288910i	−0.0553872	+	0.0224238i
$167$	0.517723	−	5.36675i	0.0400626	−	0.415291i	−0.953448	−	0.301556i	$-0.902494\pi$
$167$	0.517723	−	5.36675i	0.0400626	−	0.415291i	0.993511	−	0.113735i	$-0.0362815\pi$
$168$	0.132863	−	0.146297i	0.0102506	−	0.0112871i
$169$	−2.28308	−	0.146578i	−0.175621	−	0.0112753i
$170$	21.9608	+	5.75879i	1.68431	+	0.441679i
$171$	−1.52113	+	15.7681i	−0.116324	+	1.20582i
$172$	−1.79631	+	4.05790i	−0.136968	+	0.309412i
$173$	16.6117	−	16.0875i	1.26296	−	1.22311i	0.299860	−	0.953983i	$-0.403060\pi$
$173$	16.6117	−	16.0875i	1.26296	−	1.22311i	0.963104	−	0.269130i	$-0.0867360\pi$
$174$	−1.56316	−	9.66868i	−0.118503	−	0.732981i
$175$	0.398893	−	1.08392i	0.0301535	−	0.0819367i
$176$	6.88875	−	11.3637i	0.519259	−	0.856572i
$177$	4.24360	−	2.04361i	0.318968	−	0.153607i
$178$	7.46607	+	3.59547i	0.559606	+	0.269492i
$179$	−7.46755	−	25.1606i	−0.558151	−	1.88060i	−0.465849	−	0.884864i	$-0.654251\pi$
$179$	−7.46755	−	25.1606i	−0.558151	−	1.88060i	−0.0923015	−	0.995731i	$-0.529422\pi$
$180$	−6.36769	−	6.16677i	−0.474620	−	0.459644i
$181$	−17.2456	−	4.52234i	−1.28186	−	0.336143i	−0.450949	−	0.892550i	$-0.648914\pi$
$181$	−17.2456	−	4.52234i	−1.28186	−	0.336143i	−0.830910	+	0.556407i	$0.812180\pi$
$182$	0.162539	−	5.06856i	0.0120482	−	0.375707i
$183$	1.40594			0.103930
$184$	0.0358192	−	1.11698i	0.00264063	−	0.0823445i
$185$	−5.19458	+	5.71981i	−0.381913	+	0.420528i
$186$	−0.759962	+	2.56056i	−0.0557231	+	0.187750i
$187$	−19.9844	+	11.2550i	−1.46140	+	0.823047i
$188$	−7.49199	−	20.3582i	−0.546410	−	1.48477i
$189$	−2.78875	−	0.543110i	−0.202852	−	0.0395054i
$190$	25.2673	−	1.62221i	1.83308	−	0.117688i
$191$	2.83148	−	3.55056i	0.204879	−	0.256910i	−0.668767	−	0.743472i	$-0.733178\pi$
$191$	2.83148	−	3.55056i	0.204879	−	0.256910i	0.873646	+	0.486562i	$0.161749\pi$
$192$	−6.65765	+	4.33365i	−0.480475	+	0.312754i
$193$	−14.3793	−	1.85401i	−1.03504	−	0.133454i	−0.408435	−	0.912787i	$-0.633925\pi$
$193$	−14.3793	−	1.85401i	−1.03504	−	0.133454i	−0.626610	+	0.779333i	$0.715558\pi$
$194$	−22.3643	+	32.0609i	−1.60566	+	2.30184i
$195$	5.90042	+	0.378820i	0.422538	+	0.0271279i
$196$	−14.3804			−1.02717
$197$	5.08015	+	13.0840i	0.361946	+	0.932199i
$197$	5.08015	+	13.0840i	0.361946	+	0.932199i
$198$	17.1721			1.22037
$199$	17.8893	+	1.14853i	1.26814	+	0.0814172i	0.683544	−	0.729909i	$-0.260438\pi$
$199$	17.8893	+	1.14853i	1.26814	+	0.0814172i	0.584594	+	0.811326i	$0.301254\pi$
$200$	0.382598	−	0.548483i	0.0270538	−	0.0387836i
$201$	3.84737	+	0.496063i	0.271372	+	0.0349896i
$202$	−10.4973	+	6.83300i	−0.738589	+	0.480768i
$203$	2.23440	−	2.80185i	0.156824	−	0.196652i
$204$	11.4888	−	0.737603i	0.804374	−	0.0516426i
$205$	21.7563	+	4.23705i	1.51953	+	0.295928i
$206$	−3.94842	−	10.7291i	−0.275099	−	0.747534i
$207$	−6.04620	+	3.40515i	−0.420240	+	0.236675i
$208$	−4.01429	+	13.5255i	−0.278341	+	0.937823i
$209$	−17.1966	+	18.9353i	−1.18951	+	1.30978i
$210$	−0.0628621	+	1.96027i	−0.00433790	+	0.135272i
$211$	15.5736			1.07213			0.536064	−	0.844177i	$-0.319910\pi$
$211$	15.5736			1.07213			0.536064	+	0.844177i	$0.319910\pi$
$212$	−0.0897210	+	2.79783i	−0.00616207	+	0.192156i
$213$	−1.19927	−	0.314486i	−0.0821728	−	0.0215483i
$214$	−14.0434	−	13.6003i	−0.959989	−	0.929698i
$215$	−1.03292	−	3.48024i	−0.0704444	−	0.237351i
$216$	−1.48212	−	0.713752i	−0.100846	−	0.0485647i
$217$	−0.880521	+	0.424036i	−0.0597736	+	0.0287855i
$218$	−4.66037	+	7.68776i	−0.315640	+	0.520681i
$219$	−1.88300	+	5.11672i	−0.127241	+	0.345756i
$220$	−2.28436	−	14.1296i	−0.154012	−	0.952618i
$221$	17.4925	−	16.9406i	1.17667	−	1.13955i
$222$	−3.04116	+	6.87002i	−0.204109	+	0.461086i
$223$	0.778129	−	8.06612i	0.0521073	−	0.540147i	−0.931986	−	0.362494i	$-0.881925\pi$
$223$	0.778129	−	8.06612i	0.0521073	−	0.540147i	0.984093	−	0.177653i	$-0.0568503\pi$
$224$	−4.97778	−	1.30533i	−0.332592	−	0.0872158i
$225$	−4.14384	−	0.266044i	−0.276256	−	0.0177362i
$226$	1.43507	−	1.58017i	0.0954595	−	0.105112i
$227$	−2.65146	+	27.4851i	−0.175983	+	1.82425i	0.310513	+	0.950569i	$0.399499\pi$
$227$	−2.65146	+	27.4851i	−0.175983	+	1.82425i	−0.486497	+	0.873683i	$0.661725\pi$
$228$	11.9007	−	4.81804i	0.788141	−	0.319083i
$229$	19.7673	+	6.56321i	1.30626	+	0.433709i	0.881752	−	0.471713i	$-0.156364\pi$
$229$	19.7673	+	6.56321i	1.30626	+	0.433709i	0.424511	+	0.905423i	$0.360446\pi$
$230$	6.91505	+	8.67120i	0.455965	+	0.571762i
$231$	−1.33208	−	1.46676i	−0.0876442	−	0.0965060i
$232$	1.66291	−	1.24106i	0.109175	−	0.0814798i
$233$	−2.32104	−	10.1692i	−0.152057	−	0.666204i	−0.992286	−	0.123972i	$-0.960437\pi$
$233$	−2.32104	−	10.1692i	−0.152057	−	0.666204i	0.840229	−	0.542232i	$-0.182420\pi$
$234$	−17.6354	+	4.62454i	−1.15286	+	0.302316i
$235$	15.4624	+	8.70829i	1.00866	+	0.568066i
$236$	9.70153	+	7.24044i	0.631516	+	0.471313i
$237$	3.17253	−	1.28441i	0.206078	−	0.0834317i
$238$	5.80251	+	5.61942i	0.376121	+	0.364253i
$239$	2.09221	−	2.99934i	0.135334	−	0.194011i	−0.746748	−	0.665107i	$-0.768386\pi$
$239$	2.09221	−	2.99934i	0.135334	−	0.194011i	0.882082	+	0.471095i	$0.156141\pi$
$240$	1.55253	−	5.23100i	0.100216	−	0.337660i
$241$	4.98776	−	11.2674i	0.321290	−	0.725799i	−0.678673	−	0.734440i	$-0.737445\pi$
$241$	4.98776	−	11.2674i	0.321290	−	0.725799i	0.999963	+	0.00864178i	$0.00275080\pi$
$242$	4.19842	+	3.13336i	0.269885	+	0.201420i
$243$	1.53802	+	15.9432i	0.0986638	+	1.02275i
$244$	1.67138	+	3.20372i	0.106999	+	0.205097i
$245$	8.95764	−	7.62575i	0.572283	−	0.487191i
$246$	21.3756	−	2.75608i	1.36286	−	0.175721i
$247$	12.5611	−	24.0773i	0.799245	−	1.53200i
$248$	−0.555426	+	0.108169i	−0.0352696	+	0.00686875i
$249$	0.0509701	−	0.315268i	0.00323010	−	0.0199793i
$250$	2.38749	+	24.7488i	0.150998	+	1.56525i
$251$	2.77665	+	0.921911i	0.175261	+	0.0581905i	0.401392	−	0.915906i	$-0.368526\pi$
$251$	2.77665	+	0.921911i	0.175261	+	0.0581905i	−0.226132	+	0.974097i	$0.572608\pi$
$252$	−0.897351	−	3.02347i	−0.0565278	−	0.190461i
$253$	−11.1125	−	1.43280i	−0.698636	−	0.0900791i
$254$	−29.4278	+	16.5734i	−1.84647	+	1.03991i
$255$	−6.76526	+	6.55179i	−0.423657	+	0.410289i
$256$	11.1098	+	6.25692i	0.694363	+	0.391058i
$257$	0.767033	−	4.74437i	0.0478462	−	0.295946i	−0.952106	−	0.305770i	$-0.901086\pi$
$257$	0.767033	−	4.74437i	0.0478462	−	0.295946i	0.999952	+	0.00982395i	$0.00312711\pi$
$258$	−2.01955	−	2.89518i	−0.125732	−	0.180246i
$259$	−2.60897	+	0.866239i	−0.162114	+	0.0538255i
$260$	6.15118	+	13.8956i	0.381480	+	0.861770i
$261$	−11.9424	−	4.83494i	−0.739216	−	0.299275i
$262$	−18.7898	−	30.9957i	−1.16083	−	1.91492i
$263$	−8.02236	−	11.5007i	−0.494680	−	0.709161i	0.492224	−	0.870468i	$-0.336184\pi$
$263$	−8.02236	−	11.5007i	−0.494680	−	0.709161i	−0.986904	+	0.161307i	$0.948429\pi$
$264$	−0.530631	−	1.01712i	−0.0326581	−	0.0625995i
$265$	−1.42776	−	1.79036i	−0.0877069	−	0.109981i
$266$	8.11622	+	3.90856i	0.497637	+	0.239649i
$267$	−2.88093	+	1.87528i	−0.176310	+	0.114765i
$268$	3.44335	+	9.35670i	0.210336	+	0.571551i
$269$	−2.83375	−	17.5277i	−0.172777	−	1.06869i	−0.916452	−	0.400144i	$-0.868960\pi$
$269$	−2.83375	−	17.5277i	−0.172777	−	1.06869i	0.743675	−	0.668541i	$-0.233081\pi$
$270$	15.7918	−	4.14110i	0.961059	−	0.252019i
$271$	20.3265	−	3.95859i	1.23475	−	0.240467i	0.468761	−	0.883325i	$-0.344700\pi$
$271$	20.3265	−	3.95859i	1.23475	−	0.240467i	0.765986	+	0.642858i	$0.222251\pi$
$272$	−11.6497	−	19.2174i	−0.706368	−	1.16523i
$273$	1.76302	+	1.14760i	0.106703	+	0.0694559i
$274$	−9.75605	+	42.7441i	−0.589385	+	2.58226i
$275$	−5.10531	−	4.34621i	−0.307862	−	0.262086i
$276$	4.71339	+	3.06808i	0.283713	+	0.184677i
$277$	−27.3230	+	9.07187i	−1.64168	+	0.545076i	−0.979006	−	0.203831i	$-0.934661\pi$
$277$	−27.3230	+	9.07187i	−1.64168	+	0.545076i	−0.662676	+	0.748907i	$0.730579\pi$
$278$	19.6988	−	16.7698i	1.18146	−	1.00579i
$279$	2.36217	+	2.60102i	0.141420	+	0.155719i
$280$	−0.374362	+	0.180283i	−0.0223724	+	0.0107740i
$281$	−2.03427	+	2.55089i	−0.121354	+	0.152173i	−0.838797	−	0.544444i	$-0.816741\pi$
$281$	−2.03427	+	2.55089i	−0.121354	+	0.152173i	0.717443	+	0.696617i	$0.245312\pi$
$282$	16.9374	+	3.29856i	1.00861	+	0.196426i
$283$	3.48553	−	9.47130i	0.207193	−	0.563010i	−0.791656	−	0.610966i	$-0.790781\pi$
$283$	3.48553	−	9.47130i	0.207193	−	0.563010i	0.998849	+	0.0479562i	$0.0152708\pi$
$284$	−0.709070	−	3.10664i	−0.0420756	−	0.184345i
$285$	−4.85803	+	9.31194i	−0.287765	+	0.551592i
$286$	−27.2868	−	11.0472i	−1.61350	−	0.653236i
$287$	6.00482	+	5.11198i	0.354454	+	0.301751i
$288$	0.592986	+	18.4915i	0.0349420	+	1.08962i
$289$	0.698316	+	21.7761i	0.0410774	+	1.28095i
$290$	−4.58229	+	20.0763i	−0.269081	+	1.17892i
$291$	−6.56378	−	14.8277i	−0.384776	−	0.869215i
$292$	−13.8980	+	1.79194i	−0.813317	+	0.104866i
$293$	−4.31718	+	3.22199i	−0.252212	+	0.188231i	−0.716765	−	0.697314i	$-0.754378\pi$
$293$	−4.31718	+	3.22199i	−0.252212	+	0.188231i	0.464553	+	0.885545i	$0.346215\pi$
$294$	5.92984	−	9.78189i	0.345835	−	0.570491i
$295$	−9.88263	+	0.634486i	−0.575389	+	0.0369412i
$296$	−1.58842	+	0.101980i	−0.0923249	+	0.00592746i
$297$	−8.54983	+	14.1038i	−0.496111	+	0.818388i
$298$	15.5626	−	11.6147i	0.901519	−	0.672821i
$299$	11.7982	−	1.52120i	0.682305	−	0.0879735i
$300$	1.36225	+	3.07736i	0.0786498	+	0.177671i
$301$	0.287411	−	1.25923i	0.0165661	−	0.0725809i
$302$	−1.01903	−	31.7772i	−0.0586388	−	1.82857i
$303$	−0.166532	−	5.19310i	−0.00956704	−	0.298336i
$304$	−19.0836	−	16.2461i	−1.09452	−	0.931777i
$305$	−2.73999	−	1.10930i	−0.156892	−	0.0635184i
$306$	13.4322	−	25.7470i	0.767866	−	1.47186i
$307$	−1.68177	−	7.36831i	−0.0959836	−	0.420532i	0.903992	−	0.427550i	$-0.140623\pi$
$307$	−1.68177	−	7.36831i	−0.0959836	−	0.420532i	−0.999975	+	0.00701827i	$0.997766\pi$
$308$	1.75874	−	4.77908i	0.100214	−	0.272313i
$309$	4.65502	+	0.906565i	0.264815	+	0.0515727i
$310$	3.50137	−	4.39058i	0.198865	−	0.249368i
$311$	−24.0763	+	11.5945i	−1.36524	+	0.657466i	−0.965799	−	0.259292i	$-0.916511\pi$
$311$	−24.0763	+	11.5945i	−1.36524	+	0.657466i	−0.399443	+	0.916758i	$0.630796\pi$
$312$	0.818864	+	0.901660i	0.0463591	+	0.0510465i
$313$	−2.70331	+	2.30136i	−0.152800	+	0.130080i	−0.721357	−	0.692563i	$-0.756481\pi$
$313$	−2.70331	+	2.30136i	−0.152800	+	0.130080i	0.568557	+	0.822644i	$0.307502\pi$
$314$	−0.281316	+	0.0934032i	−0.0158756	+	0.00527105i
$315$	2.16227	+	1.40748i	0.121830	+	0.0793027i
$316$	6.69828	+	5.70233i	0.376808	+	0.320781i
$317$	5.11674	−	22.4179i	0.287385	−	1.25912i	−0.600714	−	0.799464i	$-0.705117\pi$
$317$	5.11674	−	22.4179i	0.287385	−	1.25912i	0.888099	−	0.459652i	$-0.152026\pi$
$318$	−1.86615	−	1.21473i	−0.104648	−	0.0681186i
$319$	−10.7844	−	17.7900i	−0.603810	−	0.996048i
$320$	16.3942	−	3.19276i	0.916462	−	0.178481i
$321$	7.84435	−	2.05703i	0.437829	−	0.114812i
$322$	0.629782	+	3.89542i	0.0350964	+	0.217084i
$323$	14.9393	+	40.5950i	0.831247	+	2.25877i
$324$	−5.56116	+	3.61991i	−0.308953	+	0.201106i
$325$	6.41351	+	3.08858i	0.355757	+	0.171324i
$326$	13.1871	+	16.5361i	0.730364	+	0.915848i
$327$	−1.72492	−	3.30635i	−0.0953884	−	0.182842i
$328$	2.61232	+	3.74495i	0.144241	+	0.206780i
$329$	3.27304	+	5.39922i	0.180449	+	0.297669i
$330$	10.5532	+	4.27253i	0.580936	+	0.235195i
$331$	−0.934594	−	2.11126i	−0.0513699	−	0.116046i	0.886885	−	0.461990i	$-0.152865\pi$
$331$	−0.934594	−	2.11126i	−0.0513699	−	0.116046i	−0.938255	+	0.345945i	$0.887558\pi$
$332$	0.778994	−	0.258644i	0.0427529	−	0.0141949i
$333$	5.65433	+	8.10591i	0.309855	+	0.444201i
$334$	−1.75924	+	10.8815i	−0.0962615	+	0.595412i
$335$	−7.10661	−	4.00237i	−0.388275	−	0.218673i
$336$	1.39458	−	1.35058i	0.0760807	−	0.0736800i
$337$	−5.51974	+	3.10866i	−0.300679	+	0.169339i	−0.633697	−	0.773581i	$-0.718464\pi$
$337$	−5.51974	+	3.10866i	−0.300679	+	0.169339i	0.333018	+	0.942920i	$0.391933\pi$
$338$	4.63879	+	0.598106i	0.252317	+	0.0325327i
$339$	0.251938	+	0.848864i	0.0136834	+	0.0461040i
$340$	−22.9720	−	7.62725i	−1.24583	−	0.413645i
$341$	0.544766	+	5.64707i	0.0295007	+	0.305806i
$342$	5.16886	−	31.9712i	0.279500	−	1.72881i
$343$	8.46723	−	1.64899i	0.457187	−	0.0890372i
$344$	0.345908	−	0.663041i	0.0186501	−	0.0357488i
$345$	−4.56295	+	0.588328i	−0.245661	+	0.0316745i
$346$	−35.9988	+	30.6463i	−1.93531	+	1.64755i
$347$	1.36964	+	2.62534i	0.0735260	+	0.140936i	0.920557	−	0.390607i	$-0.127735\pi$
$347$	1.36964	+	2.62534i	0.0735260	+	0.140936i	−0.847031	+	0.531543i	$0.821612\pi$
$348$	1.00269	+	10.3939i	0.0537496	+	0.557171i
$349$	11.6740	+	8.71256i	0.624897	+	0.466373i	0.863230	−	0.504811i	$-0.168438\pi$
$349$	11.6740	+	8.71256i	0.624897	+	0.466373i	−0.238333	+	0.971183i	$0.576601\pi$
$350$	−0.955810	+	2.15919i	−0.0510902	+	0.115414i
$351$	4.98225	−	16.7869i	0.265933	−	0.896017i
$352$	−17.0909	+	24.5011i	−0.910950	+	1.30592i
$353$	−6.57422	−	6.36677i	−0.349910	−	0.338869i	0.499779	−	0.866153i	$-0.333415\pi$
$353$	−6.57422	−	6.36677i	−0.349910	−	0.338869i	−0.849689	+	0.527284i	$0.823210\pi$
$354$	−8.92557	+	3.61356i	−0.474389	+	0.192059i
$355$	2.08909	+	1.55913i	0.110877	+	0.0827500i
$356$	−7.69802	−	4.33544i	−0.407994	−	0.229778i
$357$	−3.24115	+	0.849930i	−0.171540	+	0.0449831i
$358$	11.9398	+	52.3115i	0.631036	+	2.76475i
$359$	−16.0281	+	11.9621i	−0.845929	+	0.631333i	−0.930991	−	0.365042i	$-0.881054\pi$
$359$	−16.0281	+	11.9621i	−0.845929	+	0.631333i	0.0850618	+	0.996376i	$0.472891\pi$
$360$	1.00430	+	1.10585i	0.0529313	+	0.0582833i
$361$	18.2315	+	22.8616i	0.959552	+	1.20324i
$362$	34.5926	+	11.4855i	1.81815	+	0.603666i
$363$	−2.01433	+	0.815511i	−0.105725	+	0.0428032i
$364$	−0.519162	+	5.38165i	−0.0272115	+	0.282075i
$365$	7.70686	−	8.48611i	0.403395	−	0.444183i
$366$	−2.86844	−	0.184160i	−0.149936	−	0.00962618i
$367$	5.51613	+	1.44650i	0.287940	+	0.0755067i	0.394799	−	0.918767i	$-0.370814\pi$
$367$	5.51613	+	1.44650i	0.287940	+	0.0755067i	−0.106859	+	0.994274i	$0.534079\pi$
$368$	1.05417	−	10.9276i	0.0549523	−	0.569638i
$369$	11.4763	−	25.9252i	0.597433	−	1.34961i
$370$	11.3473	−	10.9893i	0.589919	−	0.571304i
$371$	−0.130032	−	0.804296i	−0.00675094	−	0.0417570i
$372$	0.983480	−	2.67243i	0.0509911	−	0.138559i
$373$	−13.2531	+	21.8624i	−0.686221	+	1.13199i	0.297917	+	0.954592i	$0.403708\pi$
$373$	−13.2531	+	21.8624i	−0.686221	+	1.13199i	−0.984139	+	0.177402i	$0.943231\pi$
$374$	42.2469	−	20.3450i	2.18453	−	1.05202i
$375$	−9.29258	−	4.47507i	−0.479867	−	0.231092i
$376$	1.04015	+	3.50462i	0.0536418	+	0.180737i
$377$	15.8663	+	15.3657i	0.817156	+	0.791371i
$378$	5.61854	+	1.47336i	0.288987	+	0.0757812i
$379$	−0.215724	+	6.72707i	−0.0110810	+	0.345546i	0.978900	+	0.204342i	$0.0655055\pi$
$379$	−0.215724	+	6.72707i	−0.0110810	+	0.345546i	−0.989981	+	0.141204i	$0.954903\pi$
$380$	−26.9943			−1.38478
$381$	0.449046	−	14.0029i	0.0230053	−	0.717391i
$382$	−6.24192	+	6.87305i	−0.319365	+	0.351656i
$383$	5.90739	−	19.9039i	0.301853	−	1.01704i	−0.661754	−	0.749721i	$-0.730188\pi$
$383$	5.90739	−	19.9039i	0.301853	−	1.01704i	0.963607	−	0.267323i	$-0.0861390\pi$
$384$	2.16265	−	1.21798i	0.110362	−	0.0621550i
$385$	1.43875	+	3.90955i	0.0733255	+	0.199249i
$386$	29.0941	+	5.66608i	1.48085	+	0.288396i
$387$	−4.63403	+	0.297514i	−0.235561	+	0.0151235i
$388$	25.9848	−	32.5840i	1.31918	−	1.65420i
$389$	24.6503	−	16.0456i	1.24982	−	0.813542i	0.261392	−	0.965233i	$-0.415819\pi$
$389$	24.6503	−	16.0456i	1.24982	−	0.813542i	0.988428	+	0.151690i	$0.0484717\pi$
$390$	−11.9886	−	1.54575i	−0.607065	−	0.0782723i
$391$	−10.8405	+	15.5407i	−0.548230	+	0.785929i
$392$	2.41843	+	0.155268i	0.122149	+	0.00784223i
$393$	15.0357			0.758449
$394$	−8.65081	−	27.3598i	−0.435822	−	1.37837i
$395$	−7.19625			−0.362083
$396$	−18.2705	−	1.17300i	−0.918126	−	0.0589456i
$397$	−4.13327	+	5.92536i	−0.207443	+	0.297385i	−0.910303	−	0.413943i	$-0.864151\pi$
$397$	−4.13327	+	5.92536i	−0.207443	+	0.297385i	0.702860	+	0.711329i	$0.251906\pi$
$398$	−36.3477	−	4.68652i	−1.82195	−	0.234914i
$399$	−3.13180	+	2.03858i	−0.156786	+	0.102056i
$400$	4.09596	−	5.13617i	0.204798	−	0.256808i
$401$	16.0913	−	1.03310i	0.803563	−	0.0515904i	0.343133	−	0.939287i	$-0.388512\pi$
$401$	16.0913	−	1.03310i	0.803563	−	0.0515904i	0.460429	+	0.887696i	$0.347695\pi$
$402$	−7.78451	−	1.51603i	−0.388256	−	0.0756129i
$403$	−2.08025	−	5.65271i	−0.103625	−	0.281582i
$404$	11.6355	−	6.55300i	0.578889	−	0.326024i
$405$	1.54448	−	5.20387i	0.0767458	−	0.258582i
$406$	−4.92569	+	5.42373i	−0.244458	+	0.269175i
$407$	−0.511484	+	15.9500i	−0.0253533	+	0.790610i
$408$	−1.94008			−0.0960485
$409$	−0.670881	+	20.9206i	−0.0331729	+	1.03445i	0.838661	+	0.544653i	$0.183339\pi$
$409$	−0.670881	+	20.9206i	−0.0331729	+	1.03445i	−0.871834	+	0.489801i	$0.837069\pi$
$410$	−43.8328	−	11.4943i	−2.16475	−	0.567664i
$411$	−13.0647	−	12.6525i	−0.644434	−	0.624100i
$412$	3.46808	+	11.6851i	0.170860	+	0.575684i
$413$	−3.17444	−	1.52873i	−0.156204	−	0.0752239i
$414$	12.7816	−	6.15530i	0.628182	−	0.302517i
$415$	−0.348084	+	0.574200i	−0.0170867	+	0.0281864i
$416$	10.9537	−	29.7649i	0.537051	−	1.45934i
$417$	1.71275	+	10.5940i	0.0838738	+	0.518789i
$418$	37.5651	−	36.3798i	1.83737	−	1.77939i
$419$	−8.22571	+	18.5820i	−0.401852	+	0.907791i	0.592881	+	0.805290i	$0.297991\pi$
$419$	−8.22571	+	18.5820i	−0.401852	+	0.907791i	−0.994733	+	0.102501i	$0.967316\pi$
$420$	0.200787	−	2.08136i	0.00979738	−	0.101560i
$421$	−29.7611	−	7.80428i	−1.45047	−	0.380357i	−0.557387	−	0.830253i	$-0.688196\pi$
$421$	−29.7611	−	7.80428i	−1.45047	−	0.380357i	−0.893081	+	0.449895i	$0.851461\pi$
$422$	−31.7736	−	2.03993i	−1.54671	−	0.0993023i
$423$	15.2607	−	16.8037i	0.742002	−	0.817026i
$424$	0.0452975	−	0.469556i	0.00219984	−	0.0228037i
$425$	−10.5099	+	4.25499i	−0.509805	+	0.206397i
$426$	2.40559	+	0.798711i	0.116551	+	0.0386977i
$427$	−0.655737	−	0.822269i	−0.0317334	−	0.0397924i
$428$	14.0127	+	15.4295i	0.677328	+	0.745813i
$429$	9.78655	−	7.30389i	0.472499	−	0.352635i
$430$	1.65152	+	7.23577i	0.0796433	+	0.348940i
$431$	−30.4841	+	7.99387i	−1.46837	+	0.385051i	−0.899334	−	0.437263i	$-0.855948\pi$
$431$	−30.4841	+	7.99387i	−1.46837	+	0.385051i	−0.569034	+	0.822314i	$0.692683\pi$
$432$	−14.0805	−	7.93000i	−0.677449	−	0.381532i
$433$	−16.3053	−	12.1690i	−0.783584	−	0.584804i	0.129971	−	0.991518i	$-0.458511\pi$
$433$	−16.3053	−	12.1690i	−0.783584	−	0.584804i	−0.913556	+	0.406714i	$0.866675\pi$
$434$	1.85200	−	0.749792i	0.0888989	−	0.0359912i
$435$	−6.13632	−	5.94269i	−0.294214	−	0.284930i
$436$	5.48360	−	7.86115i	0.262617	−	0.376481i
$437$	−6.01250	+	20.2581i	−0.287617	+	0.969076i
$438$	4.51197	−	10.1926i	0.215590	−	0.487022i
$439$	−19.5303	−	14.5759i	−0.932133	−	0.695669i	0.0205007	−	0.999790i	$-0.493474\pi$
$439$	−19.5303	−	14.5759i	−0.932133	−	0.695669i	−0.952633	+	0.304121i	$0.901637\pi$
$440$	0.231613	+	2.40091i	0.0110417	+	0.114459i
$441$	−6.96005	−	13.3411i	−0.331431	−	0.635291i
$442$	−37.9076	+	32.2712i	−1.80308	+	1.53499i
$443$	−17.0638	+	2.20014i	−0.810727	+	0.104532i	−0.522072	−	0.852901i	$-0.674841\pi$
$443$	−17.0638	+	2.20014i	−0.810727	+	0.104532i	−0.288655	+	0.957433i	$0.593208\pi$
$444$	3.70496	−	7.10171i	0.175830	−	0.337032i
$445$	7.09415	−	1.38159i	0.336295	−	0.0654935i
$446$	−2.64411	+	16.3548i	−0.125202	+	0.774420i
$447$	0.773503	+	8.01817i	0.0365854	+	0.379246i
$448$	5.63970	+	1.87251i	0.266451	+	0.0884678i
$449$	−2.74994	−	9.26545i	−0.129778	−	0.437263i	0.868516	−	0.495661i	$-0.165074\pi$
$449$	−2.74994	−	9.26545i	−0.129778	−	0.437263i	−0.998293	+	0.0583979i	$0.981401\pi$
$450$	8.41952	+	1.08558i	0.396900	+	0.0511746i
$451$	39.8881	−	22.4645i	1.87826	−	1.05781i
$452$	−1.63480	+	1.58322i	−0.0768946	+	0.0744683i
$453$	11.4915	+	6.47189i	0.539918	+	0.304076i
$454$	9.00975	−	55.7285i	0.422848	−	2.61547i
$455$	−2.53043	−	3.62756i	−0.118628	−	0.170063i
$456$	−2.05341	+	0.681780i	−0.0961598	+	0.0319273i
$457$	−2.21049	−	4.99354i	−0.103402	−	0.233588i	0.855222	−	0.518262i	$-0.173421\pi$
$457$	−2.21049	−	4.99354i	−0.103402	−	0.233588i	−0.958624	+	0.284674i	$0.908115\pi$
$458$	−39.4701	−	15.9797i	−1.84432	−	0.746681i
$459$	14.4588	+	23.8513i	0.674880	+	1.11328i
$460$	−6.76504	−	9.69819i	−0.315421	−	0.452180i
$461$	8.55728	+	16.4027i	0.398552	+	0.763950i	0.999372	−	0.0354343i	$-0.0112815\pi$
$461$	8.55728	+	16.4027i	0.398552	+	0.763950i	−0.600820	+	0.799385i	$0.705159\pi$
$462$	2.52561	+	3.16701i	0.117502	+	0.147343i
$463$	5.40938	+	2.60502i	0.251395	+	0.121066i	0.555338	−	0.831625i	$-0.312589\pi$
$463$	5.40938	+	2.60502i	0.251395	+	0.121066i	−0.303943	+	0.952690i	$0.598303\pi$
$464$	17.0832	−	11.1199i	0.793069	−	0.516231i
$465$	0.804540	+	2.18620i	0.0373097	+	0.101382i
$466$	3.40342	+	21.0514i	0.157661	+	0.975187i
$467$	28.9348	−	7.58760i	1.33894	−	0.351112i	0.486385	−	0.873745i	$-0.338315\pi$
$467$	28.9348	−	7.58760i	1.33894	−	0.351112i	0.852558	+	0.522633i	$0.175050\pi$
$468$	19.0793	−	3.71569i	0.881941	−	0.171758i
$469$	−1.50430	−	2.48151i	−0.0694623	−	0.114585i
$470$	−30.4062	−	19.7922i	−1.40253	−	0.912947i
$471$	0.0273611	−	0.119877i	0.00126073	−	0.00552363i
$472$	−1.55338	−	1.32241i	−0.0714999	−	0.0608688i
$473$	−6.28388	−	4.09035i	−0.288933	−	0.188075i
$474$	−6.64091	+	2.20493i	−0.305027	+	0.101276i
$475$	−9.62855	+	8.19691i	−0.441788	+	0.376100i
$476$	−5.78980	−	6.37521i	−0.265375	−	0.292207i
$477$	−2.63905	+	1.27090i	−0.120834	+	0.0581904i
$478$	−4.66145	+	5.84528i	−0.213210	+	0.267357i
$479$	7.51689	+	1.46391i	0.343455	+	0.0668879i	0.359938	−	0.932976i	$-0.382798\pi$
$479$	7.51689	+	1.46391i	0.343455	+	0.0668879i	−0.0164826	+	0.999864i	$0.505247\pi$
$480$	−4.23638	+	11.5116i	−0.193363	+	0.525430i
$481$	−3.77013	−	16.5180i	−0.171903	−	0.753157i
$482$	−11.6520	+	22.3347i	−0.530735	+	1.01732i
$483$	−1.51726	−	0.614269i	−0.0690375	−	0.0279502i
$484$	−4.25292	−	3.62057i	−0.193315	−	0.164571i
$485$	1.09275	+	34.0761i	0.0496194	+	1.54732i
$486$	−1.04956	−	32.7290i	−0.0476089	−	1.48462i
$487$	4.48778	−	19.6623i	0.203361	−	0.890982i	−0.765512	−	0.643422i	$-0.777514\pi$
$487$	4.48778	−	19.6623i	0.203361	−	0.890982i	0.968873	−	0.247560i	$-0.0796288\pi$
$488$	−0.246492	−	0.556830i	−0.0111582	−	0.0252065i
$489$	−8.70160	+	1.12195i	−0.393500	+	0.0507362i
$490$	−19.2745	+	14.3849i	−0.870731	+	0.649844i
$491$	13.1767	−	21.7363i	0.594655	−	0.980946i	−0.403176	−	0.915122i	$-0.632094\pi$
$491$	13.1767	−	21.7363i	0.594655	−	0.980946i	0.997831	−	0.0658233i	$-0.0209674\pi$
$492$	−22.9311	+	1.47223i	−1.03382	+	0.0663731i
$493$	−35.1091	+	2.25408i	−1.58123	+	0.101518i
$494$	−28.7813	+	47.4777i	−1.29493	+	2.13612i
$495$	12.0028	−	8.95791i	0.539485	−	0.402628i
$496$	−5.51312	+	0.710838i	−0.247546	+	0.0319176i
$497$	0.375418	+	0.848075i	0.0168398	+	0.0380414i
$498$	−0.145286	+	0.636541i	−0.00651044	+	0.0285241i
$499$	−1.07949	−	33.6625i	−0.0483247	−	1.50694i	−0.680862	−	0.732412i	$-0.738395\pi$
$499$	−1.07949	−	33.6625i	−0.0483247	−	1.50694i	0.632537	−	0.774530i	$-0.282013\pi$
$500$	−0.849640	−	26.4949i	−0.0379971	−	1.18489i
$501$	−3.48171	−	2.96403i	−0.155551	−	0.132423i
$502$	−5.54423	−	2.24461i	−0.247451	−	0.100182i
$503$	−3.55111	+	6.80681i	−0.158336	+	0.303501i	−0.952684	−	0.303962i	$-0.901690\pi$
$503$	−3.55111	+	6.80681i	−0.158336	+	0.303501i	0.794348	+	0.607463i	$0.207813\pi$
$504$	0.118267	+	0.518161i	0.00526802	+	0.0230807i
$505$	−3.77285	+	10.2520i	−0.167890	+	0.456210i
$506$	22.4843	+	4.37881i	0.999548	+	0.194662i
$507$	−1.20969	+	1.51691i	−0.0537243	+	0.0673681i
$508$	32.4422	−	15.6233i	1.43939	−	0.693174i
$509$	10.8072	+	11.9000i	0.479023	+	0.527457i	0.931218	−	0.364462i	$-0.118747\pi$
$509$	10.8072	+	11.9000i	0.479023	+	0.527457i	−0.452196	+	0.891919i	$0.649359\pi$
$510$	14.6608	−	12.4810i	0.649193	−	0.552666i
$511$	3.87077	−	1.28518i	0.171233	−	0.0568532i
$512$	−26.7526	−	17.4140i	−1.18231	−	0.769597i
$513$	23.6852	+	20.1635i	1.04573	+	0.890240i
$514$	−2.18637	+	9.57910i	−0.0964365	+	0.422516i
$515$	−8.35673	−	5.43963i	−0.368242	−	0.239699i
$516$	1.95096	+	3.21832i	0.0858864	+	0.141679i
$517$	35.9761	−	7.00634i	1.58223	−	0.308139i
$518$	5.43636	−	1.42558i	0.238860	−	0.0626364i
$519$	−3.12999	−	19.3601i	−0.137391	−	0.849813i
$520$	−0.884439	−	2.40331i	−0.0387852	−	0.105392i
$521$	17.9959	−	11.7141i	0.788416	−	0.513202i	−0.0872108	−	0.996190i	$-0.527795\pi$
$521$	17.9959	−	11.7141i	0.788416	−	0.513202i	0.875627	+	0.482988i	$0.160448\pi$
$522$	23.7318	+	11.4287i	1.03871	+	0.500219i
$523$	23.9941	+	30.0876i	1.04919	+	1.31564i	0.947127	+	0.320860i	$0.103972\pi$
$523$	23.9941	+	30.0876i	1.04919	+	1.31564i	0.102060	+	0.994778i	$0.467457\pi$
$524$	17.8743	+	34.2617i	0.780843	+	1.49673i
$525$	−0.560395	−	0.803368i	−0.0244576	−	0.0350619i
$526$	14.8610	+	24.5147i	0.647969	+	1.06889i
$527$	8.89304	+	3.60039i	0.387387	+	0.156836i
$528$	−4.56179	−	10.3052i	−0.198527	−	0.448475i
$529$	13.0434	−	4.33071i	0.567104	−	0.188292i
$530$	2.67845	+	3.83975i	0.116344	+	0.166788i
$531$	−2.02166	+	12.5047i	−0.0877327	+	0.542658i
$532$	−8.36836	−	4.71297i	−0.362815	−	0.204333i
$533$	−34.9144	+	33.8127i	−1.51231	+	1.46459i
$534$	6.12337	−	3.44862i	0.264984	−	0.149236i
$535$	−16.9106	−	2.18038i	−0.731109	−	0.0942661i
$536$	−0.478059	−	1.61074i	−0.0206490	−	0.0695733i
$537$	−21.1240	−	7.01366i	−0.911569	−	0.302662i
$538$	3.48558	+	36.1317i	0.150274	+	1.55775i
$539$	3.87778	−	23.9855i	0.167028	−	1.03313i
$540$	−17.0848	+	3.32726i	−0.735212	+	0.143182i
$541$	−15.2378	+	29.2079i	−0.655122	+	1.25575i	0.298405	+	0.954439i	$0.403545\pi$
$541$	−15.2378	+	29.2079i	−0.655122	+	1.25575i	−0.953527	+	0.301307i	$0.902577\pi$
$542$	−41.9891	+	5.41390i	−1.80359	+	0.232547i
$543$	−11.5131	+	9.80122i	−0.494073	+	0.420610i
$544$	23.3671	+	44.7903i	1.00185	+	1.92037i
$545$	0.752903	+	7.80462i	0.0322508	+	0.334313i
$546$	−3.44664	−	2.57229i	−0.147503	−	0.110084i
$547$	12.2997	−	27.7853i	0.525898	−	1.18801i	−0.432254	−	0.901752i	$-0.642281\pi$
$547$	12.2997	−	27.7853i	0.525898	−	1.18801i	0.958152	−	0.286261i	$-0.0924124\pi$
$548$	13.2999	−	44.8117i	0.568142	−	1.91426i
$549$	−2.16324	+	3.10116i	−0.0923246	+	0.132354i
$550$	9.84667	+	9.53597i	0.419864	+	0.406615i
$551$	−36.3678	+	14.7237i	−1.54932	+	0.627250i
$552$	−0.759547	−	0.566865i	−0.0323285	−	0.0241274i
$553$	−2.23087	−	1.25640i	−0.0948664	−	0.0534278i
$554$	56.9334	−	14.9297i	2.41887	−	0.634302i
$555$	1.45810	+	6.38837i	0.0618931	+	0.271171i
$556$	−22.1043	+	16.4969i	−0.937432	+	0.699624i
$557$	0.636563	+	0.700926i	0.0269720	+	0.0296992i	0.753615	−	0.657316i	$-0.228308\pi$
$557$	0.636563	+	0.700926i	0.0269720	+	0.0296992i	−0.726643	+	0.687015i	$0.758921\pi$
$558$	−4.47866	−	5.61607i	−0.189597	−	0.237747i
$559$	7.55497	+	2.50842i	0.319541	+	0.106095i
$560$	−3.78347	+	1.53176i	−0.159881	+	0.0647286i
$561$	−1.86776	+	19.3613i	−0.0788568	+	0.817433i
$562$	4.48449	−	4.93792i	0.189167	−	0.208294i
$563$	27.8735	+	1.78954i	1.17473	+	0.0754199i	0.639160	−	0.769074i	$-0.279282\pi$
$563$	27.8735	+	1.78954i	1.17473	+	0.0754199i	0.535566	+	0.844494i	$0.320098\pi$
$564$	−17.7955	−	4.66652i	−0.749324	−	0.196496i
$565$	0.178767	−	1.85311i	0.00752078	−	0.0779607i
$566$	−8.35186	+	18.8670i	−0.351055	+	0.793039i
$567$	1.38735	−	1.34357i	0.0582631	−	0.0564247i
$568$	0.0857047	+	0.530114i	0.00359609	+	0.0222431i
$569$	12.5385	−	34.0711i	0.525641	−	1.42834i	−0.346020	−	0.938227i	$-0.612467\pi$
$569$	12.5385	−	34.0711i	0.525641	−	1.42834i	0.871661	−	0.490110i	$-0.163043\pi$
$570$	11.1312	−	18.3621i	0.466235	−	0.769104i
$571$	26.7553	−	12.8847i	1.11968	−	0.539208i	0.219884	−	0.975526i	$-0.429432\pi$
$571$	26.7553	−	12.8847i	1.11968	−	0.539208i	0.899792	+	0.436319i	$0.143718\pi$
$572$	28.2776	+	13.6178i	1.18234	+	0.569387i
$573$	−1.09582	−	3.69218i	−0.0457786	−	0.154243i
$574$	−11.5816	−	11.2161i	−0.483406	−	0.468152i
$575$	−5.35790	−	1.40501i	−0.223440	−	0.0585928i
$576$	0.684751	−	21.3531i	0.0285313	−	0.889711i
$577$	24.2002			1.00747			0.503734	−	0.863859i	$-0.331959\pi$
$577$	24.2002			1.00747			0.503734	+	0.863859i	$0.331959\pi$
$578$	1.42765	−	44.5195i	0.0593826	−	1.85177i
$579$	−8.26634	+	9.10215i	−0.343537	+	0.378273i
$580$	6.24677	−	21.0474i	0.259383	−	0.873948i
$581$	−0.208158	+	0.117232i	−0.00863585	+	0.00486362i
$582$	11.4493	+	31.1116i	0.474591	+	1.28962i
$583$	−4.64237	−	0.904102i	−0.192267	−	0.0374441i
$584$	2.35663	−	0.151301i	0.0975182	−	0.00626088i
$585$	−9.91420	+	12.4320i	−0.409902	+	0.514000i
$586$	9.23005	−	6.00809i	0.381290	−	0.248192i
$587$	−2.78824	−	0.359503i	−0.115083	−	0.0148383i	0.0701204	−	0.997539i	$-0.477662\pi$
$587$	−2.78824	−	0.359503i	−0.115083	−	0.0148383i	−0.185203	+	0.982700i	$0.559294\pi$
$588$	−6.97731	+	10.0025i	−0.287740	+	0.412496i
$589$	10.6778	+	0.685535i	0.439970	+	0.0282470i
$590$	20.2459			0.833510
$591$	11.5656	+	2.81474i	0.475747	+	0.115783i
$592$	−15.6360			−0.642636
$593$	−35.0285	−	2.24891i	−1.43845	−	0.0923515i	−0.674809	−	0.737993i	$-0.735774\pi$
$593$	−35.0285	−	2.24891i	−1.43845	−	0.0923515i	−0.763641	+	0.645641i	$0.776590\pi$
$594$	19.2910	−	27.6551i	0.791518	−	1.13470i
$595$	6.98718	+	0.900897i	0.286446	+	0.0369332i
$596$	−17.3514	+	11.2945i	−0.710743	+	0.462642i
$597$	9.47866	−	11.8859i	0.387936	−	0.486456i
$598$	−24.2701	+	1.55819i	−0.992479	+	0.0637193i
$599$	43.6876	+	8.50817i	1.78503	+	0.347634i	0.972071	−	0.234688i	$-0.0754070\pi$
$599$	43.6876	+	8.50817i	1.78503	+	0.347634i	0.812958	+	0.582323i	$0.197856\pi$
$600$	−0.195870	−	0.532242i	−0.00799636	−	0.0217287i
$601$	11.6184	−	6.54339i	0.473926	−	0.266910i	−0.235259	−	0.971933i	$-0.575594\pi$
$601$	11.6184	−	6.54339i	0.473926	−	0.266910i	0.709185	+	0.705022i	$0.249063\pi$
$602$	−0.751326	+	2.53147i	−0.0306218	+	0.103175i
$603$	−7.01389	+	7.72308i	−0.285628	+	0.314508i
$604$	−1.08645	+	33.8794i	−0.0442069	+	1.37853i
$605$	4.56910			0.185760
$606$	−0.340463	+	10.6169i	−0.0138304	+	0.431282i
$607$	−25.0341	−	6.56472i	−1.01610	−	0.266454i	−0.292202	−	0.956357i	$-0.594388\pi$
$607$	−25.0341	−	6.56472i	−1.01610	−	0.266454i	−0.723902	+	0.689903i	$0.757653\pi$
$608$	40.4721	+	39.1951i	1.64136	+	1.58957i
$609$	−0.864745	−	2.91361i	−0.0350412	−	0.118066i
$610$	5.44490	+	2.62212i	0.220457	+	0.106167i
$611$	−35.0599	+	16.8839i	−1.41837	+	0.683051i
$612$	−16.0501	+	26.4763i	−0.648786	+	1.07024i
$613$	13.1144	−	35.6361i	0.529685	−	1.43933i	−0.337493	−	0.941328i	$-0.609579\pi$
$613$	13.1144	−	35.6361i	0.529685	−	1.43933i	0.867178	−	0.497998i	$-0.165931\pi$
$614$	2.46603	+	15.2533i	0.0995210	+	0.615572i
$615$	13.5032	−	13.0771i	0.544502	−	0.527320i
$616$	−0.347377	+	0.784731i	−0.0139962	+	0.0316177i
$617$	−2.06216	+	21.3765i	−0.0830195	+	0.860584i	0.856058	+	0.516879i	$0.172906\pi$
$617$	−2.06216	+	21.3765i	−0.0830195	+	0.860584i	−0.939078	+	0.343705i	$0.888318\pi$
$618$	−9.37854	−	2.45934i	−0.377260	−	0.0989292i
$619$	19.9172	+	1.27872i	0.800538	+	0.0513963i	0.458960	−	0.888457i	$-0.348222\pi$
$619$	19.9172	+	1.27872i	0.800538	+	0.0513963i	0.341579	+	0.939853i	$0.389038\pi$
$620$	−4.02524	+	4.43224i	−0.161658	+	0.178003i
$621$	−1.30836	+	13.5625i	−0.0525026	+	0.544245i
$622$	50.6398	−	20.5018i	2.03047	−	0.822046i
$623$	2.44044	+	0.810281i	0.0977740	+	0.0324632i
$624$	7.46011	+	9.35468i	0.298643	+	0.374487i
$625$	8.45919	+	9.31451i	0.338368	+	0.372581i
$626$	5.81679	−	4.34119i	0.232486	−	0.173509i
$627$	4.82703	+	21.1486i	0.192773	+	0.844594i
$628$	0.305690	−	0.0801613i	0.0121983	−	0.00319878i
$629$	23.5145	+	13.2431i	0.937583	+	0.528037i
$630$	−4.22715	−	3.15481i	−0.168414	−	0.125691i
$631$	38.0545	−	15.4066i	1.51493	−	0.613326i	0.541169	−	0.840914i	$-0.317982\pi$
$631$	38.0545	−	15.4066i	1.51493	−	0.613326i	0.973757	+	0.227588i	$0.0730840\pi$
$632$	−1.06491	−	1.03131i	−0.0423599	−	0.0410233i
$633$	7.55621	−	10.8324i	0.300333	−	0.430549i
$634$	−13.3757	+	45.0673i	−0.531219	+	1.78985i
$635$	−11.9236	+	26.9355i	−0.473172	+	1.06890i
$636$	1.90254	+	1.41990i	0.0754405	+	0.0563027i
$637$	2.47702	+	25.6769i	0.0981430	+	1.01736i
$638$	19.6723	+	37.7082i	0.778835	+	1.49288i
$639$	2.53892	−	2.16142i	0.100438	−	0.0855044i
$640$	−5.17572	+	0.667336i	−0.204588	+	0.0263788i
$641$	−9.48586	+	18.1826i	−0.374669	+	0.718170i	−0.997962	−	0.0638186i	$-0.979672\pi$
$641$	−9.48586	+	18.1826i	−0.374669	+	0.718170i	0.623293	+	0.781989i	$0.285795\pi$
$642$	−16.2737	+	3.16930i	−0.642271	+	0.125082i
$643$	0.223555	−	1.38277i	0.00881616	−	0.0545311i	−0.982397	−	0.186805i	$-0.940187\pi$
$643$	0.223555	−	1.38277i	0.00881616	−	0.0545311i	0.991213	+	0.132273i	$0.0422277\pi$
$644$	−0.403973	−	4.18761i	−0.0159188	−	0.165015i
$645$	−2.92190	−	0.970136i	−0.115050	−	0.0381991i
$646$	−25.1622	−	84.7797i	−0.989993	−	3.33561i
$647$	−25.0070	−	3.22430i	−0.983126	−	0.126760i	−0.380498	−	0.924782i	$-0.624247\pi$
$647$	−25.0070	−	3.22430i	−0.983126	−	0.126760i	−0.602629	+	0.798022i	$0.705880\pi$
$648$	0.974331	−	0.548733i	0.0382754	−	0.0215563i
$649$	−14.6926	+	14.2290i	−0.576734	+	0.558536i
$650$	−12.6804	−	7.14148i	−0.497367	−	0.280112i
$651$	−0.132280	+	0.818198i	−0.00518446	+	0.0320677i
$652$	−12.9010	−	18.4946i	−0.505242	−	0.724302i
$653$	−24.3510	+	8.08509i	−0.952928	+	0.316394i	−0.748984	−	0.662589i	$-0.769458\pi$
$653$	−24.3510	+	8.08509i	−0.952928	+	0.316394i	−0.203944	+	0.978982i	$0.565376\pi$
$654$	3.08614	+	6.97164i	0.120678	+	0.272613i
$655$	−29.3025	−	11.8633i	−1.14494	−	0.463537i
$656$	23.2524	+	38.3573i	0.907854	+	1.49760i
$657$	−8.38897	−	12.0262i	−0.327285	−	0.469187i
$658$	−5.97051	−	11.4443i	−0.232755	−	0.446147i
$659$	18.1976	+	22.8191i	0.708879	+	0.888906i	0.997652	−	0.0684913i	$-0.0218185\pi$
$659$	18.1976	+	22.8191i	0.708879	+	0.888906i	−0.288772	+	0.957398i	$0.593247\pi$
$660$	−10.9364	−	5.26669i	−0.425698	−	0.205006i
$661$	−21.6524	+	14.0942i	−0.842181	+	0.548199i	−0.892766	−	0.450521i	$-0.851238\pi$
$661$	−21.6524	+	14.0942i	−0.842181	+	0.548199i	0.0505848	+	0.998720i	$0.483891\pi$
$662$	1.63023	+	4.42987i	0.0633608	+	0.172172i
$663$	−3.29595	−	20.3866i	−0.128004	−	0.791751i
$664$	−0.133800	+	0.0350864i	−0.00519244	+	0.00136162i
$665$	7.71192	−	1.50190i	0.299055	−	0.0582410i
$666$	−10.4743	−	17.2785i	−0.405872	−	0.669529i
$667$	−14.4039	−	9.37589i	−0.557721	−	0.363036i
$668$	2.61507	−	11.4574i	0.101180	−	0.443300i
$669$	−5.23295	−	4.45487i	−0.202317	−	0.172235i
$670$	13.9748	+	9.09659i	0.539894	+	0.351432i
$671$	−5.79425	+	1.92382i	−0.223685	+	0.0742684i
$672$	−3.32313	+	2.82902i	−0.128192	+	0.109132i
$673$	11.5274	+	12.6929i	0.444349	+	0.489277i	0.920861	−	0.389890i	$-0.127487\pi$
$673$	11.5274	+	12.6929i	0.444349	+	0.489277i	−0.476513	+	0.879168i	$0.658099\pi$
$674$	11.6687	−	5.61934i	0.449461	−	0.216449i
$675$	−5.08361	+	6.37465i	−0.195668	+	0.245360i
$676$	−4.89464	−	0.953232i	−0.188256	−	0.0366628i
$677$	−6.96313	+	18.9211i	−0.267615	+	0.727196i	0.731363	+	0.681988i	$0.238885\pi$
$677$	−6.96313	+	18.9211i	−0.267615	+	0.727196i	−0.998978	+	0.0452072i	$0.985605\pi$
$678$	−0.402821	−	1.76487i	−0.0154702	−	0.0677796i
$679$	−5.61064	+	10.7545i	−0.215317	+	0.412721i
$680$	3.78097	+	1.53074i	0.144993	+	0.0587013i
$681$	17.8312	+	15.1799i	0.683292	+	0.581695i
$682$	−0.371753	−	11.5926i	−0.0142352	−	0.443905i
$683$	0.0770128	+	2.40154i	0.00294681	+	0.0918925i	0.999903	+	0.0139285i	$0.00443374\pi$
$683$	0.0770128	+	2.40154i	0.00294681	+	0.0918925i	−0.996956	+	0.0779639i	$0.975158\pi$
$684$	−7.68339	+	33.6631i	−0.293782	+	1.28714i
$685$	15.4785	+	34.9661i	0.591402	+	1.33599i
$686$	−17.4910	+	2.25522i	−0.667811	+	0.0861046i
$687$	14.1561	−	10.5650i	0.540090	−	0.403080i
$688$	3.80838	−	6.28231i	0.145193	−	0.239511i
$689$	5.01110	−	0.321723i	0.190908	−	0.0122567i
$690$	9.38651	−	0.602634i	0.357338	−	0.0229419i
$691$	−5.33912	+	8.80744i	−0.203110	+	0.335051i	−0.940128	−	0.340822i	$-0.889295\pi$
$691$	−5.33912	+	8.80744i	−0.203110	+	0.335051i	0.737018	+	0.675873i	$0.236233\pi$
$692$	40.3948	−	30.1474i	1.53558	−	1.14603i
$693$	5.28490	−	0.681412i	0.200757	−	0.0258847i
$694$	−2.45048	−	5.53568i	−0.0930190	−	0.210132i
$695$	5.02081	−	21.9976i	0.190450	−	0.834417i
$696$	−0.0564018	−	1.75882i	−0.00213791	−	0.0666678i
$697$	−2.48136	−	77.3781i	−0.0939884	−	2.93090i
$698$	−22.6764	−	19.3047i	−0.858315	−	0.730694i
$699$	−8.19945	−	3.31959i	−0.310132	−	0.125558i
$700$	1.16444	−	2.23201i	0.0440116	−	0.0843620i
$701$	−7.09556	−	31.0877i	−0.267996	−	1.17417i	−0.912341	−	0.409431i	$-0.865727\pi$
$701$	−7.09556	−	31.0877i	−0.267996	−	1.17417i	0.644345	−	0.764735i	$-0.277130\pi$
$702$	−12.3638	+	33.5964i	−0.466640	+	1.26801i
$703$	29.5419	+	5.75328i	1.11419	+	0.216989i
$704$	21.5079	−	26.9701i	0.810611	−	1.01647i
$705$	13.5595	−	6.52989i	0.510679	−	0.245930i
$706$	12.5789	+	13.8508i	0.473413	+	0.521281i
$707$	−2.95952	+	2.51948i	−0.111304	+	0.0947548i
$708$	9.74332	−	3.23500i	0.366176	−	0.121579i
$709$	10.1102	+	6.58104i	0.379698	+	0.247156i	0.721203	−	0.692724i	$-0.243590\pi$
$709$	10.1102	+	6.58104i	0.379698	+	0.247156i	−0.341505	+	0.939880i	$0.610937\pi$
$710$	−4.05799	−	3.45461i	−0.152294	−	0.129649i
$711$	−2.04827	+	8.97406i	−0.0768162	+	0.336554i
$712$	1.24780	+	0.812229i	0.0467633	+	0.0304396i
$713$	2.42966	+	4.00798i	0.0909916	+	0.150100i
$714$	6.72400	−	1.30950i	0.251640	−	0.0490068i
$715$	−24.8355	+	6.51264i	−0.928796	+	0.243559i
$716$	−9.13013	−	56.4731i	−0.341209	−	2.11050i
$717$	−1.07110	−	2.91053i	−0.0400010	−	0.108696i
$718$	34.2677	−	22.3058i	1.27886	−	0.832445i
$719$	−39.1869	−	18.8714i	−1.46143	−	0.703786i	−0.476889	−	0.878963i	$-0.658236\pi$
$719$	−39.1869	−	18.8714i	−1.46143	−	0.703786i	−0.984537	+	0.175178i	$0.943950\pi$
$720$	9.14951	+	11.4731i	0.340982	+	0.427578i
$721$	−1.64091	−	3.14533i	−0.0611109	−	0.117138i
$722$	−34.2018	−	49.0308i	−1.27286	−	1.82474i
$723$	−5.41717	−	8.93619i	−0.201467	−	0.332341i
$724$	−36.0207	−	14.5832i	−1.33870	−	0.541979i
$725$	−4.16298	−	9.40424i	−0.154609	−	0.349265i
$726$	4.21650	−	1.39997i	0.156489	−	0.0519579i
$727$	−23.0409	−	33.0308i	−0.854538	−	1.22504i	−0.972704	−	0.232050i	$-0.925457\pi$
$727$	−23.0409	−	33.0308i	−0.854538	−	1.22504i	0.118166	−	0.992994i	$-0.462299\pi$
$728$	0.145417	−	0.899453i	0.00538950	−	0.0333359i
$729$	3.87808	+	2.18409i	0.143633	+	0.0808923i
$730$	−16.8353	+	16.3041i	−0.623102	+	0.603440i
$731$	−11.0482	+	6.22221i	−0.408631	+	0.230137i
$732$	3.03933	+	0.391878i	0.112337	+	0.0144842i
$733$	−11.2563	−	37.9262i	−0.415760	−	1.40083i	−0.862448	−	0.506145i	$-0.831070\pi$
$733$	−11.2563	−	37.9262i	−0.415760	−	1.40083i	0.446688	−	0.894690i	$-0.352603\pi$
$734$	−11.0647	−	3.67372i	−0.408404	−	0.135600i
$735$	−0.957991	−	9.93058i	−0.0353360	−	0.366295i
$736$	−3.93882	+	24.3630i	−0.145187	+	0.898033i
$737$	−16.5348	+	3.22015i	−0.609066	+	0.118616i
$738$	−26.8101	+	51.3899i	−0.986893	+	1.89169i
$739$	21.3223	−	2.74920i	0.784352	−	0.101131i	0.274721	−	0.961524i	$-0.411415\pi$
$739$	21.3223	−	2.74920i	0.784352	−	0.101131i	0.509631	+	0.860393i	$0.329782\pi$
$740$	−12.8238	+	10.9170i	−0.471412	+	0.401319i
$741$	−10.6527	−	20.4192i	−0.391337	−	0.750119i
$742$	0.159943	+	1.65798i	0.00587169	+	0.0608662i
$743$	−6.91588	−	5.16146i	−0.253719	−	0.189356i	0.463710	−	0.885987i	$-0.346518\pi$
$743$	−6.91588	−	5.16146i	−0.253719	−	0.189356i	−0.717429	+	0.696632i	$0.754681\pi$
$744$	−0.194251	+	0.438817i	−0.00712160	+	0.0160878i
$745$	4.81895	−	16.2366i	0.176553	−	0.594865i
$746$	29.9030	−	42.8682i	1.09483	−	1.56952i
$747$	0.616979	+	0.597511i	0.0225741	+	0.0218618i
$748$	−46.3388	+	18.7605i	−1.69432	+	0.685952i
$749$	−4.86170	−	3.62838i	−0.177643	−	0.132578i
$750$	18.3728	+	10.3474i	0.670879	+	0.377832i
$751$	−45.2364	+	11.8624i	−1.65070	+	0.432864i	−0.957629	−	0.288006i	$-0.907008\pi$
$751$	−45.2364	+	11.8624i	−1.65070	+	0.432864i	−0.693070	+	0.720870i	$0.743742\pi$
$752$	7.99119	+	35.0117i	0.291409	+	1.27675i
$753$	1.98846	−	1.48403i	0.0724636	−	0.0540810i
$754$	−30.3581	−	33.4276i	−1.10558	−	1.21736i
$755$	−17.2890	−	21.6797i	−0.629212	−	0.789007i
$756$	−5.87728	−	1.95139i	−0.213755	−	0.0709714i
$757$	9.45133	−	3.82642i	0.343514	−	0.139074i	−0.197011	−	0.980401i	$-0.563123\pi$
$757$	9.45133	−	3.82642i	0.343514	−	0.139074i	0.540525	+	0.841328i	$0.318226\pi$
$758$	1.32128	−	13.6965i	0.0479911	−	0.497478i
$759$	−6.38832	+	7.03425i	−0.231881	+	0.255327i
$760$	4.53976	+	0.291462i	0.164674	+	0.0105724i
$761$	24.9157	+	6.53367i	0.903193	+	0.236845i	0.675911	−	0.736984i	$-0.263751\pi$
$761$	24.9157	+	6.53367i	0.903193	+	0.236845i	0.227283	+	0.973829i	$0.427016\pi$
$762$	−2.75035	+	28.5103i	−0.0996347	+	1.03282i
$763$	−1.12922	+	2.55092i	−0.0408804	+	0.0923496i
$764$	7.11066	−	6.88629i	0.257255	−	0.249137i
$765$	−4.04234	−	25.0033i	−0.146151	−	0.903997i
$766$	−14.6595	+	39.8347i	−0.529671	+	1.43929i
$767$	11.2570	−	18.5697i	0.406468	−	0.670511i
$768$	9.74250	−	4.69174i	0.351552	−	0.169299i
$769$	28.4788	+	13.7147i	1.02697	+	0.494563i	0.870006	−	0.493041i	$-0.164115\pi$
$769$	28.4788	+	13.7147i	1.02697	+	0.494563i	0.156965	+	0.987604i	$0.449829\pi$
$770$	−2.42327	−	8.16481i	−0.0873286	−	0.294239i
$771$	−2.92785	−	2.83546i	−0.105444	−	0.102117i
$772$	−30.5680	−	8.01588i	−1.10017	−	0.288498i
$773$	−0.516857	+	16.1175i	−0.0185901	+	0.579706i	0.947239	+	0.320527i	$0.103860\pi$
$773$	−0.516857	+	16.1175i	−0.0185901	+	0.579706i	−0.965829	+	0.259179i	$0.916548\pi$
$774$	9.49342			0.341234
$775$	−0.0898935	+	2.80321i	−0.00322907	+	0.100694i
$776$	−4.72181	+	5.19923i	−0.169503	+	0.186642i
$777$	−0.663336	+	2.23500i	−0.0237971	+	0.0801802i
$778$	−52.3939	+	29.5077i	−1.87841	+	1.05790i
$779$	−29.8183	−	81.0261i	−1.06835	−	2.90306i
$780$	12.6498	+	2.46355i	0.452935	+	0.0882092i
$781$	5.37284	−	0.344948i	0.192255	−	0.0123432i
$782$	24.1528	−	30.2866i	0.863701	−	1.08305i
$783$	−21.2025	+	13.8013i	−0.757715	+	0.493218i
$784$	23.6110	+	3.04430i	0.843249	+	0.108725i
$785$	−0.147907	+	0.212036i	−0.00527903	+	0.00756788i
$786$	−30.6761	−	1.96947i	−1.09418	−	0.0702488i
$787$	11.2100			0.399592			0.199796	−	0.979838i	$-0.435972\pi$
$787$	11.2100			0.399592			0.199796	+	0.979838i	$0.435972\pi$
$788$	7.33523	+	29.7007i	0.261307	+	1.05804i
$789$	−11.8918			−0.423361
$790$	14.6820	+	0.942613i	0.522361	+	0.0335367i
$791$	0.378955	−	0.543261i	0.0134741	−	0.0193161i
$792$	3.05997	+	0.394539i	0.108731	+	0.0140193i
$793$	5.43248	−	3.53615i	0.192913	−	0.125572i
$794$	9.20894	−	11.5476i	0.326813	−	0.409811i
$795$	−1.93805	+	0.124427i	−0.0687356	+	0.00441297i
$796$	38.3525	+	7.46914i	1.35937	+	0.264737i
$797$	16.3309	+	44.3762i	0.578469	+	1.57189i	0.802086	+	0.597209i	$0.203724\pi$
$797$	16.3309	+	44.3762i	0.578469	+	1.57189i	−0.223617	+	0.974677i	$0.571786\pi$
$798$	6.65660	−	3.74893i	0.235641	−	0.132711i
$799$	17.6359	−	59.4211i	0.623913	−	2.10217i
$800$	−9.92862	+	10.9325i	−0.351030	+	0.386523i
$801$	0.296308	−	9.23998i	0.0104695	−	0.326479i
$802$	−32.9652			−1.16404
$803$	0.758856	−	23.6639i	0.0267795	−	0.835082i
$804$	8.17887	+	2.14475i	0.288446	+	0.0756396i
$805$	2.47227	+	2.39426i	0.0871359	+	0.0843865i
$806$	3.50375	+	11.8053i	0.123414	+	0.415823i
$807$	−13.5666	−	6.53332i	−0.477566	−	0.229984i
$808$	−2.02755	+	0.976419i	−0.0713291	+	0.0343503i
$809$	2.43475	−	4.01637i	0.0856012	−	0.141208i	−0.809422	−	0.587227i	$-0.800220\pi$
$809$	2.43475	−	4.01637i	0.0856012	−	0.141208i	0.895024	+	0.446019i	$0.147158\pi$
$810$	−3.83272	+	10.4147i	−0.134668	+	0.365937i
$811$	−5.55104	−	34.3352i	−0.194924	−	1.20567i	−0.879202	−	0.476450i	$-0.841923\pi$
$811$	−5.55104	−	34.3352i	−0.194924	−	1.20567i	0.684278	−	0.729221i	$-0.260117\pi$
$812$	5.61124	−	5.43418i	0.196916	−	0.190702i
$813$	7.10886	−	16.0590i	0.249319	−	0.563215i
$814$	3.13278	−	32.4745i	0.109804	−	1.13823i
$815$	17.8435	+	4.67911i	0.625030	+	0.163902i
$816$	−19.0193	−	1.22108i	−0.665810	−	0.0427464i
$817$	−9.50694	+	10.4682i	−0.332606	+	0.366236i
$818$	4.10906	−	42.5947i	0.143670	−	1.48929i
$819$	−5.24397	+	2.12305i	−0.183239	+	0.0741854i
$820$	45.8513	+	15.2237i	1.60120	+	0.531634i
$821$	25.8672	+	32.4364i	0.902771	+	1.13204i	0.990721	+	0.135914i	$0.0433972\pi$
$821$	25.8672	+	32.4364i	0.902771	+	1.13204i	−0.0879494	+	0.996125i	$0.528031\pi$
$822$	24.9976	+	27.5251i	0.871892	+	0.960049i
$823$	−43.9621	+	32.8097i	−1.53242	+	1.14368i	−0.590889	+	0.806753i	$0.701223\pi$
$823$	−43.9621	+	32.8097i	−1.53242	+	1.14368i	−0.941532	+	0.336923i	$0.890614\pi$
$824$	−0.457077	−	2.00258i	−0.0159230	−	0.0697633i
$825$	−5.50013	+	1.44230i	−0.191490	+	0.0502146i
$826$	6.27633	+	3.53476i	0.218381	+	0.122990i
$827$	−29.8757	−	22.2968i	−1.03888	−	0.775337i	−0.0639742	−	0.997952i	$-0.520378\pi$
$827$	−29.8757	−	22.2968i	−1.03888	−	0.775337i	−0.974907	+	0.222615i	$0.928541\pi$
$828$	−14.0196	+	5.67592i	−0.487216	+	0.197252i
$829$	−21.0354	−	20.3716i	−0.730588	−	0.707535i	0.233724	−	0.972303i	$-0.424909\pi$
$829$	−21.0354	−	20.3716i	−0.730588	−	0.707535i	−0.964312	+	0.264768i	$0.914705\pi$
$830$	0.785381	−	1.12590i	0.0272610	−	0.0390806i
$831$	−6.94693	+	23.4065i	−0.240986	+	0.811963i
$832$	−14.8250	+	33.4900i	−0.513965	+	1.16106i
$833$	−32.9293	−	24.5758i	−1.14093	−	0.851501i
$834$	−2.10672	−	21.8384i	−0.0729499	−	0.756202i
$835$	4.44675	+	8.52359i	0.153886	+	0.294971i
$836$	−42.4529	+	36.1407i	−1.46826	+	1.24995i
$837$	6.84249	−	0.882242i	0.236511	−	0.0304947i
$838$	19.2163	−	36.8340i	0.663815	−	1.27241i
$839$	−13.7280	+	2.67352i	−0.473942	+	0.0923002i	−0.422475	−	0.906375i	$-0.638839\pi$
$839$	−13.7280	+	2.67352i	−0.473942	+	0.0923002i	−0.0514667	+	0.998675i	$0.516390\pi$
$840$	−0.0562401	+	0.347865i	−0.00194047	+	0.0120025i
$841$	−0.279489	−	2.89719i	−0.00963754	−	0.0999032i
$842$	59.6971	+	19.8208i	2.05730	+	0.683070i
$843$	0.787289	+	2.65264i	0.0271157	+	0.0913617i
$844$	33.6665	+	4.34082i	1.15885	+	0.149417i
$845$	3.55438	−	2.00179i	0.122274	−	0.0688637i
$846$	−33.3363	+	32.2844i	−1.14613	+	1.10996i
$847$	1.41644	+	0.797727i	0.0486696	+	0.0274102i
$848$	0.739604	−	4.57471i	0.0253981	−	0.157096i
$849$	−4.89673	−	7.01983i	−0.168055	−	0.240920i
$850$	21.9999	−	7.30447i	0.754590	−	0.250541i
$851$	5.33652	+	12.0553i	0.182934	+	0.413250i
$852$	−2.50490	−	1.01412i	−0.0858165	−	0.0347432i
$853$	16.6732	+	27.5041i	0.570878	+	0.941724i	0.999273	+	0.0381318i	$0.0121407\pi$
$853$	16.6732	+	27.5041i	0.570878	+	0.941724i	−0.428394	+	0.903592i	$0.640921\pi$
$854$	1.23014	+	1.76350i	0.0420947	+	0.0603459i
$855$	−13.0651	−	25.0433i	−0.446816	−	0.856463i
$856$	−2.18998	−	2.74615i	−0.0748520	−	0.0938615i
$857$	−3.05058	−	1.46908i	−0.104206	−	0.0501828i	0.381055	−	0.924552i	$-0.375561\pi$
$857$	−3.05058	−	1.46908i	−0.104206	−	0.0501828i	−0.485260	+	0.874370i	$0.661275\pi$
$858$	−20.9235	+	13.6197i	−0.714315	+	0.464968i
$859$	5.43818	+	14.7773i	0.185548	+	0.504194i	0.996749	−	0.0805738i	$-0.0256753\pi$
$859$	5.43818	+	14.7773i	0.185548	+	0.504194i	−0.811200	+	0.584768i	$0.801185\pi$
$860$	−1.26289	−	7.81141i	−0.0430641	−	0.266367i
$861$	6.46921	−	1.69643i	0.220470	−	0.0578141i
$862$	63.2415	−	12.3163i	2.15401	−	0.419494i
$863$	−7.23821	−	11.9402i	−0.246392	−	0.406449i	0.707448	−	0.706765i	$-0.249846\pi$
$863$	−7.23821	−	11.9402i	−0.246392	−	0.406449i	−0.953840	+	0.300317i	$0.902908\pi$
$864$	30.4460	+	19.8182i	1.03580	+	0.674228i
$865$	−9.17534	+	40.1998i	−0.311971	+	1.36683i
$866$	31.6726	+	26.9632i	1.07628	+	0.916248i
$867$	15.4854	+	10.0799i	0.525913	+	0.342332i
$868$	−2.02168	+	0.671243i	−0.0686202	+	0.0227835i
$869$	−11.3173	+	9.63454i	−0.383912	+	0.326829i
$870$	11.7410	+	12.9282i	0.398059	+	0.438307i
$871$	16.1137	−	7.75993i	0.545991	−	0.262935i
$872$	−1.00708	+	1.26284i	−0.0341041	+	0.0427651i
$873$	42.8055	+	8.33637i	1.44875	+	0.282143i
$874$	14.9204	−	40.5435i	0.504689	−	1.37140i
$875$	1.71684	+	7.52198i	0.0580399	+	0.254289i
$876$	−5.49681	+	10.5364i	−0.185720	+	0.355990i
$877$	−41.8534	−	16.9446i	−1.41329	−	0.572177i	−0.463789	−	0.885946i	$-0.653510\pi$
$877$	−41.8534	−	16.9446i	−1.41329	−	0.572177i	−0.949499	+	0.313769i	$0.898408\pi$
$878$	37.9370	+	32.2963i	1.28031	+	1.08995i
$879$	0.146428	+	4.56616i	0.00493889	+	0.154013i
$880$	0.759458	+	23.6827i	0.0256013	+	0.798344i
$881$	−11.7075	+	51.2941i	−0.394437	+	1.72814i	0.254295	+	0.967127i	$0.418156\pi$
$881$	−11.7075	+	51.2941i	−0.394437	+	1.72814i	−0.648733	+	0.761016i	$0.724701\pi$
$882$	12.4525	+	28.1305i	0.419299	+	0.947204i
$883$	−12.5910	+	1.62343i	−0.423720	+	0.0546327i	−0.336786	−	0.941581i	$-0.609340\pi$
$883$	−12.5910	+	1.62343i	−0.423720	+	0.0546327i	−0.0869345	+	0.996214i	$0.527707\pi$
$884$	42.5367	−	31.7460i	1.43066	−	1.06773i
$885$	−4.35368	+	7.18184i	−0.146347	+	0.241415i
$886$	35.1022	−	2.25364i	1.17928	−	0.0757125i
$887$	56.4289	−	3.62286i	1.89470	−	0.121644i	0.927207	−	0.374549i	$-0.122202\pi$
$887$	56.4289	−	3.62286i	1.89470	−	0.121644i	0.967491	+	0.252905i	$0.0813861\pi$
$888$	−0.699759	+	1.15433i	−0.0234824	+	0.0387366i
$889$	−8.39907	+	6.26839i	−0.281696	+	0.210235i
$890$	−14.6546	+	1.88951i	−0.491224	+	0.0633364i
$891$	−4.53813	−	10.2517i	−0.152033	−	0.343446i
$892$	3.93041	−	17.2202i	0.131600	−	0.576576i
$893$	−2.21557	−	69.0897i	−0.0741413	−	2.31200i
$894$	−0.527846	−	16.4602i	−0.0176538	−	0.550511i
$895$	35.6341	+	30.3357i	1.19112	+	1.01401i
$896$	−1.72101	−	0.696760i	−0.0574950	−	0.0232771i
$897$	4.66631	−	8.94444i	0.155804	−	0.298646i
$898$	4.39683	+	19.2638i	0.146724	+	0.642841i
$899$	−3.00546	+	8.16681i	−0.100238	+	0.272378i
$900$	−8.88390	−	1.73014i	−0.296130	−	0.0576713i
$901$	−4.98687	+	6.25334i	−0.166137	+	0.208329i
$902$	−84.3231	+	40.6079i	−2.80765	+	1.35209i
$903$	−0.736425	−	0.810885i	−0.0245067	−	0.0269846i
$904$	0.292027	−	0.248606i	0.00971266	−	0.00826851i
$905$	30.1707	−	10.0174i	1.00291	−	0.332988i
$906$	−22.5975	−	14.7093i	−0.750751	−	0.488685i
$907$	24.3343	+	20.7161i	0.808007	+	0.687866i	0.953467	−	0.301498i	$-0.0974866\pi$
$907$	24.3343	+	20.7161i	0.808007	+	0.687866i	−0.145460	+	0.989364i	$0.546466\pi$
$908$	−13.3928	+	58.6776i	−0.444455	+	1.94728i
$909$	11.7109	+	7.62296i	0.388427	+	0.252838i
$910$	4.68748	+	7.73249i	0.155388	+	0.256329i
$911$	19.6256	−	3.82209i	0.650225	−	0.126631i	0.144744	−	0.989469i	$-0.453764\pi$
$911$	19.6256	−	3.82209i	0.650225	−	0.126631i	0.505481	+	0.862838i	$0.331315\pi$
$912$	−20.5594	+	5.39132i	−0.680791	+	0.178524i
$913$	0.221337	+	1.36905i	0.00732518	+	0.0453088i
$914$	3.85581	+	10.4775i	0.127539	+	0.346564i
$915$	−2.10102	+	1.36761i	−0.0694576	+	0.0452119i
$916$	40.9032	+	19.6979i	1.35148	+	0.650838i
$917$	−7.01270	−	8.79365i	−0.231580	−	0.290392i
$918$	−26.3750	−	50.5559i	−0.870505	−	1.66859i
$919$	28.5679	+	40.9542i	0.942368	+	1.35096i	0.936386	+	0.350973i	$0.114149\pi$
$919$	28.5679	+	40.9542i	0.942368	+	1.35096i	0.00598245	+	0.999982i	$0.498096\pi$
$920$	1.03300	+	1.70403i	0.0340568	+	0.0561803i
$921$	−5.94111	−	2.40529i	−0.195766	−	0.0792569i
$922$	−15.3102	−	34.5861i	−0.504216	−	1.13903i
$923$	−5.42490	+	1.80119i	−0.178563	+	0.0592869i
$924$	−2.47082	−	3.54210i	−0.0812839	−	0.116527i
$925$	−1.25910	+	7.78797i	−0.0413989	+	0.256067i
$926$	−10.6951	−	6.02338i	−0.351464	−	0.197941i
$927$	−9.16205	+	8.87295i	−0.300921	+	0.291426i
$928$	−39.9261	+	22.4859i	−1.31064	+	0.738137i
$929$	−20.3546	−	2.62444i	−0.667814	−	0.0861051i	−0.213495	−	0.976944i	$-0.568485\pi$
$929$	−20.3546	−	2.62444i	−0.667814	−	0.0861051i	−0.454319	+	0.890839i	$0.650117\pi$
$930$	−1.35508	−	4.56571i	−0.0444348	−	0.149716i
$931$	−43.4892	−	14.4394i	−1.42530	−	0.473233i
$932$	−2.18312	−	22.6304i	−0.0715106	−	0.741282i
$933$	−3.61696	+	22.3722i	−0.118414	+	0.732433i
$934$	−60.0273	+	11.6903i	−1.96415	+	0.382519i
$935$	18.9162	−	36.2589i	0.618627	−	1.18579i
$936$	−3.24877	+	0.418883i	−0.106190	+	0.0136916i
$937$	14.0620	−	11.9712i	0.459386	−	0.391081i	−0.388339	−	0.921516i	$-0.626951\pi$
$937$	14.0620	−	11.9712i	0.459386	−	0.391081i	0.847725	+	0.530435i	$0.177972\pi$
$938$	2.74407	+	5.25987i	0.0895971	+	0.171741i
$939$	0.289110	+	2.99693i	0.00943474	+	0.0978010i
$940$	30.9991	+	23.1352i	1.01108	+	0.754587i
$941$	−5.71689	+	12.9145i	−0.186365	+	0.421002i	−0.983036	−	0.183411i	$-0.941286\pi$
$941$	−5.71689	+	12.9145i	−0.186365	+	0.421002i	0.796671	+	0.604413i	$0.206592\pi$
$942$	−0.0715250	+	0.240992i	−0.00233041	+	0.00785193i
$943$	21.6373	−	31.0187i	0.704608	−	1.01011i
$944$	−14.3960	−	13.9417i	−0.468549	−	0.453764i
$945$	4.69578	−	1.90111i	0.152754	−	0.0618431i
$946$	12.2847	+	9.16833i	0.399411	+	0.298088i
$947$	40.4054	+	22.7559i	1.31300	+	0.739468i	0.979146	−	0.203157i	$-0.0651202\pi$
$947$	40.4054	+	22.7559i	1.31300	+	0.739468i	0.333854	+	0.942625i	$0.391651\pi$
$948$	7.21630	−	1.89234i	0.234374	−	0.0614602i
$949$	5.59350	+	24.5067i	0.181573	+	0.795523i
$950$	20.7181	−	15.4623i	0.672183	−	0.501663i
$951$	−13.1105	−	14.4361i	−0.425136	−	0.468122i
$952$	0.904863	+	1.13466i	0.0293268	+	0.0367746i
$953$	−51.4409	−	17.0795i	−1.66633	−	0.553261i	−0.682273	−	0.731097i	$-0.739009\pi$
$953$	−51.4409	−	17.0795i	−1.66633	−	0.553261i	−0.984060	+	0.177837i	$0.943090\pi$
$954$	5.55072	−	2.24724i	0.179711	−	0.0727570i
$955$	−0.777557	+	8.06019i	−0.0251611	+	0.260822i
$956$	5.35889	−	5.90074i	0.173319	−	0.190844i
$957$	−17.6066	−	1.13038i	−0.569140	−	0.0365400i
$958$	−15.1444	−	3.97132i	−0.489293	−	0.128308i
$959$	−1.30639	+	13.5421i	−0.0421855	+	0.437297i
$960$	5.73360	−	12.9523i	0.185051	−	0.418033i
$961$	−20.5641	+	19.9152i	−0.663357	+	0.642425i
$962$	5.52827	+	34.1943i	0.178239	+	1.10247i
$963$	−7.53231	+	20.4677i	−0.242725	+	0.659563i
$964$	13.9230	−	22.9674i	0.448429	−	0.739730i
$965$	23.2917	−	11.2167i	0.749785	−	0.361078i
$966$	3.01508	+	1.45199i	0.0970086	+	0.0467169i
$967$	−15.3418	−	51.6917i	−0.493360	−	1.66229i	−0.724424	−	0.689354i	$-0.757894\pi$
$967$	−15.3418	−	51.6917i	−0.493360	−	1.66229i	0.231064	−	0.972938i	$-0.425779\pi$
$968$	0.676143	+	0.654808i	0.0217320	+	0.0210463i
$969$	35.4849	+	9.30523i	1.13994	+	0.298927i
$970$	2.23405	−	69.6660i	0.0717311	−	2.23684i
$971$	2.95314			0.0947708			0.0473854	−	0.998877i	$-0.484911\pi$
$971$	2.95314			0.0947708			0.0473854	+	0.998877i	$0.484911\pi$
$972$	−1.11899	+	34.8942i	−0.0358916	+	1.11923i
$973$	5.39707	−	5.94278i	0.173022	−	0.190517i
$974$	−11.7316	+	39.5276i	−0.375904	+	1.26654i
$975$	5.26010	−	2.96243i	0.168458	−	0.0948738i
$976$	−2.06598	−	5.61394i	−0.0661305	−	0.179698i
$977$	43.1482	+	8.40312i	1.38043	+	0.268840i	0.826133	−	0.563476i	$-0.190536\pi$
$977$	43.1482	+	8.40312i	1.38043	+	0.268840i	0.554302	+	0.832315i	$0.312985\pi$
$978$	17.9002	−	1.14923i	0.572384	−	0.0367483i
$979$	9.30701	−	11.6706i	0.297453	−	0.372994i
$980$	21.4899	−	13.9884i	0.686470	−	0.446843i
$981$	9.94703	+	1.28253i	0.317584	+	0.0409479i
$982$	−29.7305	+	42.6209i	−0.948739	+	1.36009i
$983$	−22.3313	−	1.43372i	−0.712259	−	0.0457285i	−0.296278	−	0.955102i	$-0.595745\pi$
$983$	−22.3313	−	1.43372i	−0.712259	−	0.0457285i	−0.415981	+	0.909373i	$0.636562\pi$
$984$	3.87233			0.123445
$985$	−20.3190	−	14.6109i	−0.647418	−	0.465543i
$986$	71.9256			2.29058
$987$	5.34356	+	0.343068i	0.170087	+	0.0109200i
$988$	33.8654	−	48.5485i	1.07740	−	1.54453i
$989$	−6.14342	−	0.792107i	−0.195350	−	0.0251875i
$990$	−25.6617	+	16.7039i	−0.815583	+	0.530886i
$991$	−11.5513	+	14.4849i	−0.366940	+	0.460128i	−0.930686	−	0.365820i	$-0.880788\pi$
$991$	−11.5513	+	14.4849i	−0.366940	+	0.460128i	0.563745	+	0.825949i	$0.309360\pi$
$992$	12.4705	−	0.800633i	0.395939	−	0.0254201i
$993$	−1.92198	−	0.374305i	−0.0609921	−	0.0118782i
$994$	−0.654850	−	1.77944i	−0.0207706	−	0.0564403i
$995$	−27.8507	+	15.6852i	−0.882927	+	0.497255i
$996$	0.198061	−	0.667332i	0.00627579	−	0.0211452i
$997$	−10.3565	+	11.4037i	−0.327994	+	0.361158i	−0.881913	−	0.471413i	$-0.843744\pi$
$997$	−10.3565	+	11.4037i	−0.327994	+	0.361158i	0.553919	+	0.832571i	$0.313132\pi$
$998$	−2.20694	+	68.8205i	−0.0698594	+	2.17847i
$999$	19.4063			0.613988

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	197.2.g.a.16.3	✓	630
197.37	even	49	inner	197.2.g.a.37.3	yes	630

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
197.2.g.a.16.3	✓	630	1.1	even	1	trivial
197.2.g.a.37.3	yes	630	197.37	even	49	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:	\( N \)	\(=\)	\( 197 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	197.g (of order \(49\), degree \(42\), minimal)

\(f(q)\)	\(=\)	\(q+(-2.04022 - 0.130987i) q^{2} +(0.485195 - 0.695563i) q^{3} +(2.16177 + 0.278730i) q^{4} +(-1.49439 + 0.972737i) q^{5} +(-1.08102 + 1.35555i) q^{6} +(-0.633099 + 0.0406463i) q^{7} +(-0.360546 - 0.0702164i) q^{8} +(0.787701 + 2.14044i) q^{9} +(3.17630 - 1.78886i) q^{10} +(-1.04784 + 3.53051i) q^{11} +(1.24276 - 1.36841i) q^{12} +(0.125320 - 3.90795i) q^{13} +1.29699 q^{14} +(-0.0484678 + 1.51141i) q^{15} +(-3.49037 - 0.915282i) q^{16} +(4.47384 + 4.33267i) q^{17} +(-1.32672 - 4.47015i) q^{18} +(6.25775 + 3.01357i) q^{19} +(-3.50165 + 1.68631i) q^{20} +(-0.278904 + 0.460081i) q^{21} +(2.60027 - 7.06578i) q^{22} +(0.485573 + 3.00344i) q^{23} +(-0.223775 + 0.216714i) q^{24} +(-0.736947 + 1.66478i) q^{25} +(-0.767571 + 7.95668i) q^{26} +(4.33200 + 1.13598i) q^{27} +(-1.37995 - 0.0885954i) q^{28} +(-3.79779 + 4.18179i) q^{29} +(0.296859 - 3.07726i) q^{30} +(1.42793 - 0.578103i) q^{31} +(7.69846 + 2.55606i) q^{32} +(1.94729 + 2.44182i) q^{33} +(-8.56011 - 9.42563i) q^{34} +(0.906555 - 0.676580i) q^{35} +(1.10623 + 4.84670i) q^{36} +(4.19153 - 1.09915i) q^{37} +(-12.3725 - 6.96804i) q^{38} +(-2.65742 - 1.98328i) q^{39} +(0.607097 - 0.245786i) q^{40} +(-8.92961 - 8.64784i) q^{41} +(0.629291 - 0.902136i) q^{42} +(-0.579286 + 1.95181i) q^{43} +(-3.24925 + 7.34010i) q^{44} +(-3.25921 - 2.43241i) q^{45} +(-0.597267 - 6.19130i) q^{46} +(-4.60337 - 8.82380i) q^{47} +(-2.33014 + 1.98368i) q^{48} +(-6.54337 + 0.843674i) q^{49} +(1.72160 - 3.29998i) q^{50} +(5.18433 - 1.00965i) q^{51} +(1.36018 - 8.41317i) q^{52} +(0.123319 + 1.27833i) q^{53} +(-8.68944 - 2.88509i) q^{54} +(-1.86839 - 6.29521i) q^{55} +(0.231115 + 0.0297990i) q^{56} +(5.13236 - 2.89049i) q^{57} +(8.29611 - 8.03433i) q^{58} +(4.83916 + 2.72536i) q^{59} +(-0.526051 + 3.25381i) q^{60} +(0.948464 + 1.35969i) q^{61} +(-2.98901 + 0.992421i) q^{62} +(-0.585693 - 1.32309i) q^{63} +(-8.68242 - 3.51512i) q^{64} +(3.61413 + 5.96189i) q^{65} +(-3.65306 - 5.23693i) q^{66} +(2.11573 + 4.05546i) q^{67} +(8.46378 + 10.6132i) q^{68} +(2.32468 + 1.11951i) q^{69} +(-1.93820 + 1.26163i) q^{70} +(-0.504901 - 1.37198i) q^{71} +(-0.133709 - 0.827037i) q^{72} +(-6.21870 + 1.63074i) q^{73} +(-8.69563 + 1.69347i) q^{74} +(0.800394 + 1.32033i) q^{75} +(12.6879 + 8.25889i) q^{76} +(0.519882 - 2.27775i) q^{77} +(5.16195 + 4.39443i) q^{78} +(3.38239 + 2.20169i) q^{79} +(6.10628 - 2.02743i) q^{80} +(-2.31806 + 1.97339i) q^{81} +(17.0856 + 18.8132i) q^{82} +(0.339283 - 0.163390i) q^{83} +(-0.731166 + 0.916853i) q^{84} +(-10.9002 - 2.12281i) q^{85} +(1.43753 - 3.90624i) q^{86} +(1.06603 + 4.67059i) q^{87} +(0.625693 - 1.19934i) q^{88} +(-3.75709 - 1.52108i) q^{89} +(6.33091 + 5.38958i) q^{90} +(0.0795035 + 2.47921i) q^{91} +(0.212551 + 6.62811i) q^{92} +(0.290715 - 1.27371i) q^{93} +(8.23610 + 18.6055i) q^{94} +(-12.2829 + 1.58370i) q^{95} +(5.51315 - 4.11457i) q^{96} +(9.91194 - 16.3508i) q^{97} +(13.4604 - 0.864189i) q^{98} +(-8.38222 + 0.538157i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 630 q - 42 q^{2} - 42 q^{3} - 28 q^{4} - 42 q^{5} - 21 q^{6} - 28 q^{7} - 28 q^{8} - 42 q^{9} - 28 q^{10} - 28 q^{11} - 28 q^{12} - 42 q^{13} - 28 q^{14} - 154 q^{15} - 42 q^{17} - 21 q^{18} - 7 q^{19}+ \cdots - 161 q^{99}+O(q^{100}) \) 630 * q - 42 * q^2 - 42 * q^3 - 28 * q^4 - 42 * q^5 - 21 * q^6 - 28 * q^7 - 28 * q^8 - 42 * q^9 - 28 * q^10 - 28 * q^11 - 28 * q^12 - 42 * q^13 - 28 * q^14 - 154 * q^15 - 42 * q^17 - 21 * q^18 - 7 * q^19 - 35 * q^20 - 42 * q^21 - 42 * q^23 + 28 * q^24 - 42 * q^25 - 7 * q^26 + 42 * q^27 - 49 * q^28 - 182 * q^29 + 77 * q^30 - 14 * q^31 - 28 * q^32 + 35 * q^33 - 14 * q^34 - 42 * q^35 + 84 * q^36 + 14 * q^37 - 28 * q^38 - 21 * q^39 + 28 * q^40 - 28 * q^41 - 112 * q^42 - 56 * q^43 - 210 * q^44 + 49 * q^45 - 7 * q^47 + 42 * q^48 + 42 * q^49 + 98 * q^50 - 14 * q^51 + 49 * q^52 - 42 * q^53 + 63 * q^54 - 161 * q^56 - 175 * q^57 - 42 * q^58 + 42 * q^59 + 126 * q^60 - 14 * q^61 + 42 * q^62 + 49 * q^63 + 98 * q^64 + 56 * q^65 + 175 * q^66 + 28 * q^67 + 273 * q^68 - 7 * q^69 - 252 * q^70 - 77 * q^71 - 364 * q^72 - 28 * q^73 + 35 * q^74 + 7 * q^75 + 133 * q^76 + 21 * q^77 + 210 * q^78 + 42 * q^79 - 14 * q^80 - 14 * q^81 - 42 * q^82 + 161 * q^83 - 245 * q^84 - 266 * q^85 - 147 * q^86 - 35 * q^87 + 77 * q^88 + 28 * q^89 + 315 * q^90 + 154 * q^91 + 84 * q^92 - 7 * q^93 + 182 * q^94 + 126 * q^95 + 245 * q^96 + 42 * q^97 - 308 * q^98 - 161 * q^99

Introduction

L-functions

Modular forms

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Database

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