LMFDB - Embedded newform 637.2.w.a.547.17

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [637,2,Mod(92,637)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(637, base_ring=CyclotomicField(14))

chi = DirichletCharacter(H, H._module([2, 0]))

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

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

chi := DirichletCharacter("637.92");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 637 = 7^{2} \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	637.w (of order $7$, degree $6$, 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:	$5.08647060876$
Analytic rank:	$0$
Dimension:	$162$
Relative dimension:	$27$ over $\Q(\zeta_{7})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label			547.17
Character	$\chi$	$=$	637.547
Dual form			637.2.w.a.92.17

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.258756 + 0.324470i) q^{2} +(-2.07294 + 0.998275i) q^{3} +(0.406716 - 1.78194i) q^{4} +(2.95478 - 1.42295i) q^{5} +(-0.860297 - 0.414297i) q^{6} +(2.39153 - 1.13164i) q^{7} +(1.43125 - 0.689256i) q^{8} +(1.43005 - 1.79323i) q^{9} +O(q^{10})$	\(q+(0.258756 + 0.324470i) q^{2} +(-2.07294 + 0.998275i) q^{3} +(0.406716 - 1.78194i) q^{4} +(2.95478 - 1.42295i) q^{5} +(-0.860297 - 0.414297i) q^{6} +(2.39153 - 1.13164i) q^{7} +(1.43125 - 0.689256i) q^{8} +(1.43005 - 1.79323i) q^{9} +(1.22627 + 0.590542i) q^{10} +(-3.15323 - 3.95403i) q^{11} +(0.935767 + 4.09986i) q^{12} +(-0.623490 - 0.781831i) q^{13} +(0.986006 + 0.483160i) q^{14} +(-4.70459 + 5.89937i) q^{15} +(-2.69953 - 1.30002i) q^{16} +(0.170956 + 0.749007i) q^{17} +0.951886 q^{18} -6.19624 q^{19} +(-1.33385 - 5.84398i) q^{20} +(-3.82780 + 4.73322i) q^{21} +(0.467046 - 2.04626i) q^{22} +(-1.18560 + 5.19447i) q^{23} +(-2.27884 + 2.85757i) q^{24} +(3.58851 - 4.49985i) q^{25} +(0.0923491 - 0.404608i) q^{26} +(0.361643 - 1.58446i) q^{27} +(-1.04384 - 4.72181i) q^{28} +(-1.36221 - 5.96821i) q^{29} -3.13151 q^{30} +6.89540 q^{31} +(-0.983682 - 4.30979i) q^{32} +(10.4837 + 5.04867i) q^{33} +(-0.198795 + 0.249281i) q^{34} +(5.45617 - 6.74676i) q^{35} +(-2.61380 - 3.27761i) q^{36} +(0.332101 + 1.45503i) q^{37} +(-1.60332 - 2.01049i) q^{38} +(2.07294 + 0.998275i) q^{39} +(3.24827 - 4.07320i) q^{40} +(2.62159 - 1.26249i) q^{41} +(-2.52626 - 0.0172569i) q^{42} +(-0.824865 - 0.397234i) q^{43} +(-8.32831 + 4.01070i) q^{44} +(1.67382 - 7.33351i) q^{45} +(-1.99223 + 0.959409i) q^{46} +(7.89617 + 9.90148i) q^{47} +6.89374 q^{48} +(4.43879 - 5.41269i) q^{49} +2.38862 q^{50} +(-1.10210 - 1.38199i) q^{51} +(-1.64676 + 0.793037i) q^{52} +(1.30515 - 5.71823i) q^{53} +(0.607688 - 0.292647i) q^{54} +(-14.9435 - 7.19641i) q^{55} +(2.64289 - 3.26803i) q^{56} +(12.8444 - 6.18555i) q^{57} +(1.58403 - 1.98631i) q^{58} +(-4.68764 - 2.25745i) q^{59} +(8.59888 + 10.7827i) q^{60} +(2.78252 + 12.1910i) q^{61} +(1.78423 + 2.23735i) q^{62} +(1.39072 - 5.90687i) q^{63} +(-2.59240 + 3.25076i) q^{64} +(-2.95478 - 1.42295i) q^{65} +(1.07457 + 4.70801i) q^{66} -4.44870 q^{67} +1.40422 q^{68} +(-2.72782 - 11.9514i) q^{69} +(3.60094 + 0.0245981i) q^{70} +(-0.427188 + 1.87163i) q^{71} +(0.810776 - 3.55224i) q^{72} +(5.56802 - 6.98207i) q^{73} +(-0.386180 + 0.484255i) q^{74} +(-2.94668 + 12.9102i) q^{75} +(-2.52011 + 11.0413i) q^{76} +(-12.0156 - 5.88784i) q^{77} +(0.212476 + 0.930917i) q^{78} -4.91714 q^{79} -9.82639 q^{80} +(2.36321 + 10.3539i) q^{81} +(1.08799 + 0.523950i) q^{82} +(6.11915 - 7.67317i) q^{83} +(6.87748 + 8.74598i) q^{84} +(1.57094 + 1.96989i) q^{85} +(-0.0845484 - 0.370431i) q^{86} +(8.78169 + 11.0119i) q^{87} +(-7.23841 - 3.48584i) q^{88} +(8.82599 - 11.0674i) q^{89} +(2.81262 - 1.35449i) q^{90} +(-2.37584 - 1.16420i) q^{91} +(8.77402 + 4.22534i) q^{92} +(-14.2937 + 6.88350i) q^{93} +(-1.16955 + 5.12414i) q^{94} +(-18.3085 + 8.81692i) q^{95} +(6.34147 + 7.95195i) q^{96} +14.7499 q^{97} +(2.90482 + 0.0396876i) q^{98} -11.5998 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 162 q + 3 q^{2} - 25 q^{4} - 4 q^{5} + 18 q^{6} - 15 q^{7} + 3 q^{8} - 5 q^{9}+O(q^{10}) $ 162 * q + 3 * q^2 - 25 * q^4 - 4 * q^5 + 18 * q^6 - 15 * q^7 + 3 * q^8 - 5 * q^9	\( 162 q + 3 q^{2} - 25 q^{4} - 4 q^{5} + 18 q^{6} - 15 q^{7} + 3 q^{8} - 5 q^{9} - 10 q^{10} + 15 q^{11} + 25 q^{12} + 27 q^{13} + 33 q^{14} + 18 q^{15} - 5 q^{16} + 3 q^{17} - 64 q^{18} + 24 q^{19} - 47 q^{20} + 24 q^{22} + 27 q^{23} - 8 q^{24} - 35 q^{25} - 3 q^{26} + 15 q^{27} + 2 q^{28} + 46 q^{29} - 30 q^{30} + 46 q^{31} + 16 q^{32} - 18 q^{33} - 62 q^{34} - 51 q^{35} + 39 q^{36} + 16 q^{37} - 54 q^{38} + 74 q^{40} - 2 q^{41} + 88 q^{42} + 14 q^{43} - 95 q^{44} + 83 q^{45} + 56 q^{46} - 4 q^{47} - 20 q^{48} - 3 q^{49} - 216 q^{50} - 56 q^{51} + 25 q^{52} + 38 q^{53} - 6 q^{54} + 73 q^{55} - 35 q^{56} + 41 q^{57} + 72 q^{58} - 44 q^{59} + 24 q^{60} - 6 q^{61} - 36 q^{62} - q^{63} - 11 q^{64} + 4 q^{65} + 95 q^{66} - 126 q^{67} - 382 q^{68} - 108 q^{69} - 47 q^{70} + 51 q^{71} + 130 q^{72} + 14 q^{73} - 26 q^{74} + 3 q^{75} + 75 q^{76} - 6 q^{77} + 31 q^{78} - 58 q^{79} + 110 q^{80} - 5 q^{81} - 90 q^{82} - 35 q^{83} + 21 q^{84} + 18 q^{85} + 76 q^{86} - 100 q^{87} + 6 q^{88} + 32 q^{89} + 13 q^{90} + q^{91} + 46 q^{92} + 19 q^{93} + 72 q^{94} + 38 q^{95} + 95 q^{96} + 6 q^{97} - 299 q^{98} - 334 q^{99}+O(q^{100}) \) 162 * q + 3 * q^2 - 25 * q^4 - 4 * q^5 + 18 * q^6 - 15 * q^7 + 3 * q^8 - 5 * q^9 - 10 * q^10 + 15 * q^11 + 25 * q^12 + 27 * q^13 + 33 * q^14 + 18 * q^15 - 5 * q^16 + 3 * q^17 - 64 * q^18 + 24 * q^19 - 47 * q^20 + 24 * q^22 + 27 * q^23 - 8 * q^24 - 35 * q^25 - 3 * q^26 + 15 * q^27 + 2 * q^28 + 46 * q^29 - 30 * q^30 + 46 * q^31 + 16 * q^32 - 18 * q^33 - 62 * q^34 - 51 * q^35 + 39 * q^36 + 16 * q^37 - 54 * q^38 + 74 * q^40 - 2 * q^41 + 88 * q^42 + 14 * q^43 - 95 * q^44 + 83 * q^45 + 56 * q^46 - 4 * q^47 - 20 * q^48 - 3 * q^49 - 216 * q^50 - 56 * q^51 + 25 * q^52 + 38 * q^53 - 6 * q^54 + 73 * q^55 - 35 * q^56 + 41 * q^57 + 72 * q^58 - 44 * q^59 + 24 * q^60 - 6 * q^61 - 36 * q^62 - q^63 - 11 * q^64 + 4 * q^65 + 95 * q^66 - 126 * q^67 - 382 * q^68 - 108 * q^69 - 47 * q^70 + 51 * q^71 + 130 * q^72 + 14 * q^73 - 26 * q^74 + 3 * q^75 + 75 * q^76 - 6 * q^77 + 31 * q^78 - 58 * q^79 + 110 * q^80 - 5 * q^81 - 90 * q^82 - 35 * q^83 + 21 * q^84 + 18 * q^85 + 76 * q^86 - 100 * q^87 + 6 * q^88 + 32 * q^89 + 13 * q^90 + q^91 + 46 * q^92 + 19 * q^93 + 72 * q^94 + 38 * q^95 + 95 * q^96 + 6 * q^97 - 299 * q^98 - 334 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/637\mathbb{Z}\right)^\times$.

$n$	$197$	$248$
$\chi(n)$	$1$	$e\left(\frac{6}{7}\right)$

Coefficient data

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

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

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

$2$	0.258756	+	0.324470i	0.182968	+	0.229435i	0.864854	−	0.502024i	$-0.167411\pi$
$2$	0.258756	+	0.324470i	0.182968	+	0.229435i	−0.681885	+	0.731459i	$0.738840\pi$
$3$	−2.07294	+	0.998275i	−1.19681	+	0.576354i	−0.922765	−	0.385362i	$-0.874077\pi$
$3$	−2.07294	+	0.998275i	−1.19681	+	0.576354i	−0.274047	+	0.961716i	$0.588362\pi$
$4$	0.406716	−	1.78194i	0.203358	−	0.890969i
$5$	2.95478	−	1.42295i	1.32142	−	0.636362i	0.365725	−	0.930723i	$-0.380821\pi$
$5$	2.95478	−	1.42295i	1.32142	−	0.636362i	0.955694	+	0.294361i	$0.0951069\pi$
$6$	−0.860297	−	0.414297i	−0.351215	−	0.169136i
$7$	2.39153	−	1.13164i	0.903912	−	0.427719i
$7$	2.39153	−	1.13164i	0.903912	−	0.427719i
$8$	1.43125	−	0.689256i	0.506025	−	0.243689i
$9$	1.43005	−	1.79323i	0.476685	−	0.597744i
$10$	1.22627	+	0.590542i	0.387782	+	0.186746i
$11$	−3.15323	−	3.95403i	−0.950736	−	1.19218i	−0.981267	−	0.192651i	$-0.938291\pi$
$11$	−3.15323	−	3.95403i	−0.950736	−	1.19218i	0.0305317	−	0.999534i	$-0.490280\pi$
$12$	0.935767	+	4.09986i	0.270133	+	1.18353i
$13$	−0.623490	−	0.781831i	−0.172925	−	0.216841i
$13$	−0.623490	−	0.781831i	−0.172925	−	0.216841i
$14$	0.986006	+	0.483160i	0.263521	+	0.129130i
$15$	−4.70459	+	5.89937i	−1.21472	+	1.52321i
$16$	−2.69953	−	1.30002i	−0.674882	−	0.325006i
$17$	0.170956	+	0.749007i	0.0414629	+	0.181661i	0.991419	−	0.130723i	$-0.0417297\pi$
$17$	0.170956	+	0.749007i	0.0414629	+	0.181661i	−0.949956	+	0.312384i	$0.898873\pi$
$18$	0.951886			0.224362
$19$	−6.19624			−1.42151			−0.710757	−	0.703438i	$-0.751647\pi$
$19$	−6.19624			−1.42151			−0.710757	+	0.703438i	$0.751647\pi$
$20$	−1.33385	−	5.84398i	−0.298258	−	1.30675i
$21$	−3.82780	+	4.73322i	−0.835295	+	1.03287i
$22$	0.467046	−	2.04626i	0.0995745	−	0.436264i
$23$	−1.18560	+	5.19447i	−0.247215	+	1.08312i	0.687069	+	0.726592i	$0.258897\pi$
$23$	−1.18560	+	5.19447i	−0.247215	+	1.08312i	−0.934284	+	0.356529i	$0.883960\pi$
$24$	−2.27884	+	2.85757i	−0.465165	+	0.583299i
$25$	3.58851	−	4.49985i	0.717702	−	0.899970i
$26$	0.0923491	−	0.404608i	0.0181111	−	0.0793501i
$27$	0.361643	−	1.58446i	0.0695982	−	0.304930i
$28$	−1.04384	−	4.72181i	−0.197267	−	0.892337i
$29$	−1.36221	−	5.96821i	−0.252955	−	1.10827i	−0.928612	−	0.371053i	$-0.878997\pi$
$29$	−1.36221	−	5.96821i	−0.252955	−	1.10827i	0.675656	−	0.737217i	$-0.263860\pi$
$30$	−3.13151			−0.571734
$31$	6.89540			1.23845			0.619225	−	0.785213i	$-0.287447\pi$
$31$	6.89540			1.23845			0.619225	+	0.785213i	$0.287447\pi$
$32$	−0.983682	−	4.30979i	−0.173892	−	0.761871i
$33$	10.4837	+	5.04867i	1.82497	+	0.878861i
$34$	−0.198795	+	0.249281i	−0.0340930	+	0.0427513i
$35$	5.45617	−	6.74676i	0.922262	−	1.14041i
$36$	−2.61380	−	3.27761i	−0.435634	−	0.546268i
$37$	0.332101	+	1.45503i	0.0545970	+	0.239205i	0.994862	−	0.101238i	$-0.0322802\pi$
$37$	0.332101	+	1.45503i	0.0545970	+	0.239205i	−0.940265	+	0.340443i	$0.889423\pi$
$38$	−1.60332	−	2.01049i	−0.260092	−	0.326145i
$39$	2.07294	+	0.998275i	0.331936	+	0.159852i
$40$	3.24827	−	4.07320i	0.513596	−	0.644030i
$41$	2.62159	−	1.26249i	0.409423	−	0.197168i	−0.217824	−	0.975988i	$-0.569896\pi$
$41$	2.62159	−	1.26249i	0.409423	−	0.197168i	0.627247	+	0.778820i	$0.284182\pi$
$42$	−2.52626	−	0.0172569i	−0.389810	−	0.00266280i
$43$	−0.824865	−	0.397234i	−0.125791	−	0.0605776i	0.369930	−	0.929060i	$-0.379382\pi$
$43$	−0.824865	−	0.397234i	−0.125791	−	0.0605776i	−0.495721	+	0.868482i	$0.665096\pi$
$44$	−8.32831	+	4.01070i	−1.25554	+	0.604636i
$45$	1.67382	−	7.33351i	0.249519	−	1.09321i
$46$	−1.99223	+	0.959409i	−0.293739	+	0.141457i
$47$	7.89617	+	9.90148i	1.15177	+	1.44428i	0.875511	+	0.483198i	$0.160525\pi$
$47$	7.89617	+	9.90148i	1.15177	+	1.44428i	0.276264	+	0.961082i	$0.410904\pi$
$48$	6.89374			0.995026
$49$	4.43879	−	5.41269i	0.634113	−	0.773241i
$50$	2.38862			0.337801
$51$	−1.10210	−	1.38199i	−0.154324	−	0.193517i
$52$	−1.64676	+	0.793037i	−0.228364	+	0.109974i
$53$	1.30515	−	5.71823i	0.179276	−	0.785460i	−0.802689	−	0.596398i	$-0.796598\pi$
$53$	1.30515	−	5.71823i	0.179276	−	0.785460i	0.981965	−	0.189062i	$-0.0605447\pi$
$54$	0.607688	−	0.292647i	0.0826959	−	0.0398242i
$55$	−14.9435	−	7.19641i	−2.01498	−	0.970364i
$56$	2.64289	−	3.26803i	0.353171	−	0.436709i
$57$	12.8444	−	6.18555i	1.70128	−	0.819296i
$58$	1.58403	−	1.98631i	0.207993	−	0.260815i
$59$	−4.68764	−	2.25745i	−0.610278	−	0.293895i	0.103103	−	0.994671i	$-0.467123\pi$
$59$	−4.68764	−	2.25745i	−0.610278	−	0.293895i	−0.713381	+	0.700776i	$0.752837\pi$
$60$	8.59888	+	10.7827i	1.11011	+	1.39204i
$61$	2.78252	+	12.1910i	0.356265	+	1.56090i	0.762413	+	0.647091i	$0.224015\pi$
$61$	2.78252	+	12.1910i	0.356265	+	1.56090i	−0.406148	+	0.913808i	$0.633128\pi$
$62$	1.78423	+	2.23735i	0.226597	+	0.284144i
$63$	1.39072	−	5.90687i	0.175214	−	0.744195i
$64$	−2.59240	+	3.25076i	−0.324050	+	0.406345i
$65$	−2.95478	−	1.42295i	−0.366496	−	0.176495i
$66$	1.07457	+	4.70801i	0.132271	+	0.579516i
$67$	−4.44870			−0.543495			−0.271748	−	0.962369i	$-0.587602\pi$
$67$	−4.44870			−0.543495			−0.271748	+	0.962369i	$0.587602\pi$
$68$	1.40422			0.170286
$69$	−2.72782	−	11.9514i	−0.328391	−	1.43878i
$70$	3.60094	+	0.0245981i	0.430395	+	0.00294004i
$71$	−0.427188	+	1.87163i	−0.0506979	+	0.222122i	−0.993930	−	0.110011i	$-0.964911\pi$
$71$	−0.427188	+	1.87163i	−0.0506979	+	0.222122i	0.943232	+	0.332133i	$0.107768\pi$
$72$	0.810776	−	3.55224i	0.0955509	−	0.418636i
$73$	5.56802	−	6.98207i	0.651687	−	0.817190i	−0.340723	−	0.940164i	$-0.610672\pi$
$73$	5.56802	−	6.98207i	0.651687	−	0.817190i	0.992410	+	0.122974i	$0.0392432\pi$
$74$	−0.386180	+	0.484255i	−0.0448925	+	0.0562935i
$75$	−2.94668	+	12.9102i	−0.340253	+	1.49075i
$76$	−2.52011	+	11.0413i	−0.289076	+	1.26653i
$77$	−12.0156	−	5.88784i	−1.36930	−	0.670982i
$78$	0.212476	+	0.930917i	0.0240581	+	0.105406i
$79$	−4.91714			−0.553222			−0.276611	−	0.960982i	$-0.589211\pi$
$79$	−4.91714			−0.553222			−0.276611	+	0.960982i	$0.589211\pi$
$80$	−9.82639			−1.09862
$81$	2.36321	+	10.3539i	0.262578	+	1.15043i
$82$	1.08799	+	0.523950i	0.120149	+	0.0578606i
$83$	6.11915	−	7.67317i	0.671664	−	0.842240i	−0.322893	−	0.946435i	$-0.604655\pi$
$83$	6.11915	−	7.67317i	0.671664	−	0.842240i	0.994557	+	0.104196i	$0.0332269\pi$
$84$	6.87748	+	8.74598i	0.750394	+	0.954265i
$85$	1.57094	+	1.96989i	0.170392	+	0.213665i
$86$	−0.0845484	−	0.370431i	−0.00911709	−	0.0399446i
$87$	8.78169	+	11.0119i	0.941496	+	1.18060i
$88$	−7.23841	−	3.48584i	−0.771618	−	0.371591i
$89$	8.82599	−	11.0674i	0.935553	−	1.17315i	−0.0491301	−	0.998792i	$-0.515645\pi$
$89$	8.82599	−	11.0674i	0.935553	−	1.17315i	0.984683	−	0.174354i	$-0.0557837\pi$
$90$	2.81262	−	1.35449i	0.296476	−	0.142775i
$91$	−2.37584	−	1.16420i	−0.249056	−	0.122042i
$92$	8.77402	+	4.22534i	0.914755	+	0.440523i
$93$	−14.2937	+	6.88350i	−1.48219	+	0.713786i
$94$	−1.16955	+	5.12414i	−0.120630	+	0.528515i
$95$	−18.3085	+	8.81692i	−1.87842	+	0.904597i
$96$	6.34147	+	7.95195i	0.647224	+	0.811593i
$97$	14.7499			1.49762			0.748812	−	0.662783i	$-0.230625\pi$
$97$	14.7499			1.49762			0.748812	+	0.662783i	$0.230625\pi$
$98$	2.90482	+	0.0396876i	0.293431	+	0.00400906i
$99$	−11.5998			−1.16582
$100$	−6.55895	−	8.22466i	−0.655895	−	0.822466i
$101$	12.0656	−	5.81047i	1.20057	−	0.578164i	0.276731	−	0.960947i	$-0.410749\pi$
$101$	12.0656	−	5.81047i	1.20057	−	0.578164i	0.923838	+	0.382784i	$0.125035\pi$
$102$	0.163239	−	0.715195i	0.0161630	−	0.0708149i
$103$	−1.78529	+	0.859749i	−0.175909	+	0.0847135i	−0.519766	−	0.854309i	$-0.673981\pi$
$103$	−1.78529	+	0.859749i	−0.175909	+	0.0847135i	0.343857	+	0.939022i	$0.388267\pi$
$104$	−1.43125	−	0.689256i	−0.140346	−	0.0675871i
$105$	−4.57519	+	19.4324i	−0.446493	+	1.89641i
$106$	2.19311	−	1.05615i	0.213014	−	0.102582i
$107$	1.10479	−	1.38536i	0.106804	−	0.133928i	−0.725557	−	0.688162i	$-0.758418\pi$
$107$	1.10479	−	1.38536i	0.106804	−	0.133928i	0.832360	+	0.554235i	$0.186989\pi$
$108$	−2.67633	−	1.28885i	−0.257530	−	0.124020i
$109$	5.64542	+	7.07913i	0.540733	+	0.678058i	0.974866	−	0.222791i	$-0.0715167\pi$
$109$	5.64542	+	7.07913i	0.540733	+	0.678058i	−0.434133	+	0.900849i	$0.642945\pi$
$110$	−1.53171	−	6.71084i	−0.146042	−	0.639853i
$111$	−2.14094	−	2.68466i	−0.203209	−	0.254816i
$112$	−7.92715	−	0.0541505i	−0.749045	−	0.00511674i
$113$	−5.12945	+	6.43213i	−0.482538	+	0.605084i	−0.962191	−	0.272374i	$-0.912191\pi$
$113$	−5.12945	+	6.43213i	−0.482538	+	0.605084i	0.479653	+	0.877458i	$0.340763\pi$
$114$	5.33060	+	2.56708i	0.499257	+	0.240429i
$115$	3.88826	+	17.0356i	0.362582	+	1.58858i
$116$	−11.1890			−1.03887
$117$	−2.29363			−0.212046
$118$	−0.480482	−	2.10513i	−0.0442319	−	0.193793i
$119$	1.25645	+	1.59781i	0.115179	+	0.146471i
$120$	−2.66729	+	11.6862i	−0.243489	+	1.06680i
$121$	−3.24374	+	14.2117i	−0.294885	+	1.29198i
$122$	−3.23563	+	4.05735i	−0.292940	+	0.367335i
$123$	−4.17408	+	5.23413i	−0.376364	+	0.471946i
$124$	2.80447	−	12.2872i	0.251849	−	1.10342i
$125$	0.551359	−	2.41566i	0.0493151	−	0.216064i
$126$	2.27646	−	1.07719i	0.202803	−	0.0959638i
$127$	−1.28624	−	5.63537i	−0.114135	−	0.500059i	−0.999389	−	0.0349505i	$-0.988873\pi$
$127$	−1.28624	−	5.63537i	−0.114135	−	0.500059i	0.885254	−	0.465108i	$-0.153985\pi$
$128$	−10.5668			−0.933985
$129$	2.10644			0.185462
$130$	−0.302864	−	1.32694i	−0.0265630	−	0.116380i
$131$	4.15183	+	1.99942i	0.362747	+	0.174690i	0.606375	−	0.795179i	$-0.292623\pi$
$131$	4.15183	+	1.99942i	0.362747	+	0.174690i	−0.243627	+	0.969869i	$0.578337\pi$
$132$	13.2603	−	16.6279i	1.15416	−	1.44727i
$133$	−14.8185	+	7.01190i	−1.28492	+	0.608009i
$134$	−1.15113	−	1.44347i	−0.0994424	−	0.124697i
$135$	−1.18603	−	5.19634i	−0.102077	−	0.447230i
$136$	0.760939	+	0.954187i	0.0652500	+	0.0818209i
$137$	4.65077	+	2.23970i	0.397342	+	0.191350i	0.621875	−	0.783117i	$-0.286371\pi$
$137$	4.65077	+	2.23970i	0.397342	+	0.191350i	−0.224532	+	0.974467i	$0.572085\pi$
$138$	3.17202	−	3.97759i	0.270021	−	0.338595i
$139$	−19.3356	+	9.31153i	−1.64002	+	0.789793i	−0.640257	+	0.768161i	$0.721172\pi$
$139$	−19.3356	+	9.31153i	−1.64002	+	0.789793i	−0.999766	+	0.0216328i	$0.993114\pi$
$140$	−9.80320	−	12.4666i	−0.828522	−	1.05362i
$141$	−26.2527	−	12.6426i	−2.21087	−	1.06470i
$142$	−0.717827	+	0.345687i	−0.0602387	+	0.0290094i
$143$	−1.12538	+	4.93059i	−0.0941087	+	0.412317i
$144$	−6.19172	+	2.98177i	−0.515977	+	0.248481i
$145$	−12.5175	−	15.6964i	−1.03952	−	1.30352i
$146$	3.70623			0.306730
$147$	−3.79799	+	15.6513i	−0.313253	+	1.29090i
$148$	2.72784			0.224227
$149$	7.01154	+	8.79219i	0.574408	+	0.720284i	0.981148	−	0.193260i	$-0.0619060\pi$
$149$	7.01154	+	8.79219i	0.574408	+	0.720284i	−0.406740	+	0.913544i	$0.633335\pi$
$150$	−4.95146	+	2.38450i	−0.404285	+	0.194693i
$151$	−3.81536	+	16.7162i	−0.310490	+	1.36034i	0.543218	+	0.839591i	$0.317206\pi$
$151$	−3.81536	+	16.7162i	−0.310490	+	1.36034i	−0.853708	+	0.520752i	$0.825652\pi$
$152$	−8.86839	+	4.27079i	−0.719321	+	0.346407i
$153$	1.58762	+	0.764558i	0.128352	+	0.0618108i
$154$	−1.19868	−	5.42221i	−0.0965921	−	0.436934i
$155$	20.3744	−	9.81180i	1.63651	−	0.788103i
$156$	2.62196	−	3.28784i	0.209925	−	0.263238i
$157$	5.38859	+	2.59501i	0.430057	+	0.207104i	0.636374	−	0.771381i	$-0.280434\pi$
$157$	5.38859	+	2.59501i	0.430057	+	0.207104i	−0.206317	+	0.978485i	$0.566148\pi$
$158$	−1.27234	−	1.59547i	−0.101222	−	0.126929i
$159$	3.00287	+	13.1564i	0.238143	+	1.04337i
$160$	−9.03918	−	11.3348i	−0.714610	−	0.896092i
$161$	3.04286	+	13.7644i	0.239811	+	1.08478i
$162$	−2.74803	+	3.44592i	−0.215906	+	0.270737i
$163$	17.1827	+	8.27474i	1.34585	+	0.648128i	0.961435	−	0.275032i	$-0.0886884\pi$
$163$	17.1827	+	8.27474i	1.34585	+	0.648128i	0.384416	+	0.923160i	$0.374403\pi$
$164$	−1.18344	−	5.18498i	−0.0924110	−	0.404879i
$165$	38.1610			2.97083
$166$	4.07308			0.316133
$167$	1.27620	+	5.59138i	0.0987550	+	0.432674i	1.00000		0.000636464i	$-0.000202593\pi$
$167$	1.27620	+	5.59138i	0.0987550	+	0.432674i	−0.901245	+	0.433310i	$0.857345\pi$
$168$	−2.21616	+	9.41277i	−0.170980	+	0.726211i
$169$	−0.222521	+	0.974928i	−0.0171170	+	0.0749945i
$170$	−0.232682	+	1.01944i	−0.0178459	+	0.0781878i
$171$	−8.86096	+	11.1113i	−0.677614	+	0.849701i
$172$	−1.04333	+	1.30830i	−0.0795533	+	0.0997567i
$173$	3.05692	−	13.3933i	0.232413	−	1.01827i	−0.715217	−	0.698902i	$-0.753672\pi$
$173$	3.05692	−	13.3933i	0.232413	−	1.01827i	0.947631	−	0.319368i	$-0.103471\pi$
$174$	−1.30071	+	5.69879i	−0.0986067	+	0.432024i
$175$	3.48981	−	14.8224i	0.263805	−	1.12047i
$176$	3.37191	+	14.7733i	0.254167	+	1.11358i
$177$	11.9707			0.899776
$178$	5.87484			0.440338
$179$	−3.43318	−	15.0417i	−0.256608	−	1.12427i	−0.924851	−	0.380329i	$-0.875811\pi$
$179$	−3.43318	−	15.0417i	−0.256608	−	1.12427i	0.668243	−	0.743943i	$-0.267046\pi$
$180$	−12.3871	−	5.96531i	−0.923279	−	0.444628i
$181$	−11.5249	+	14.4517i	−0.856637	+	1.07419i	0.139828	+	0.990176i	$0.455345\pi$
$181$	−11.5249	+	14.4517i	−0.856637	+	1.07419i	−0.996465	+	0.0840128i	$0.973226\pi$
$182$	−0.237015	−	1.07214i	−0.0175687	−	0.0794720i
$183$	−17.9380	−	22.4935i	−1.32601	−	1.66277i
$184$	1.88342	+	8.25179i	0.138847	+	0.608330i
$185$	3.05172	+	3.82673i	0.224367	+	0.281347i
$186$	−5.93209	−	2.85674i	−0.434962	−	0.209467i
$187$	2.42253	−	3.03776i	0.177153	−	0.222143i
$188$	20.8553	−	10.0434i	1.52103	−	0.732490i
$189$	−0.928159	−	4.19853i	−0.0675137	−	0.305398i
$190$	−7.59828	−	3.65914i	−0.551237	−	0.265462i
$191$	11.6578	−	5.61410i	0.843529	−	0.406222i	0.0383574	−	0.999264i	$-0.487787\pi$
$191$	11.6578	−	5.61410i	0.843529	−	0.406222i	0.805172	+	0.593042i	$0.202073\pi$
$192$	2.12873	−	9.32656i	0.153628	−	0.673087i
$193$	3.73622	−	1.79927i	0.268939	−	0.129514i	−0.294555	−	0.955635i	$-0.595171\pi$
$193$	3.73622	−	1.79927i	0.268939	−	0.129514i	0.563493	+	0.826121i	$0.309457\pi$
$194$	3.81663	+	4.78590i	0.274018	+	0.343607i
$195$	7.54558			0.540350
$196$	−7.83975	−	10.1111i	−0.559982	−	0.722219i
$197$	−10.5859			−0.754217			−0.377109	−	0.926169i	$-0.623082\pi$
$197$	−10.5859			−0.754217			−0.377109	+	0.926169i	$0.623082\pi$
$198$	−3.00152	−	3.76379i	−0.213309	−	0.267481i
$199$	1.50836	−	0.726387i	0.106925	−	0.0514922i	−0.379657	−	0.925127i	$-0.623958\pi$
$199$	1.50836	−	0.726387i	0.106925	−	0.0514922i	0.486582	+	0.873635i	$0.338244\pi$
$200$	2.03452	−	8.91383i	0.143863	−	0.630303i
$201$	9.22188	−	4.44102i	0.650461	−	0.313246i
$202$	5.00737	+	2.41142i	0.352317	+	0.169667i
$203$	−10.0116	−	12.7316i	−0.702677	−	0.893584i
$204$	−2.91085	+	1.40179i	−0.203800	+	0.0981451i
$205$	5.94976	−	7.46077i	0.415550	−	0.521083i
$206$	−0.740917	−	0.356807i	−0.0516221	−	0.0248599i
$207$	7.61941	+	9.55444i	0.529586	+	0.664079i
$208$	0.666728	+	2.92113i	0.0462293	+	0.202544i
$209$	19.5382	+	24.5001i	1.35148	+	1.69471i
$210$	−7.48909	+	3.54374i	−0.516797	+	0.244541i
$211$	11.7776	−	14.7687i	0.810806	−	1.01672i	−0.188594	−	0.982055i	$-0.560393\pi$
$211$	11.7776	−	14.7687i	0.810806	−	1.01672i	0.999399	−	0.0346627i	$-0.0110357\pi$
$212$	−9.65871	−	4.65139i	−0.663363	−	0.319459i
$213$	−0.982870	−	4.30624i	−0.0673452	−	0.295058i
$214$	0.735378			0.0502694
$215$	−3.00254			−0.204771
$216$	−0.574496	−	2.51703i	−0.0390895	−	0.171262i
$217$	16.4905	−	7.80310i	1.11945	−	0.529709i
$218$	−0.836179	+	3.66354i	−0.0566332	+	0.248126i
$219$	−4.57213	+	20.0318i	−0.308956	+	1.35363i
$220$	−18.9013	+	23.7015i	−1.27433	+	1.59795i
$221$	0.479008	−	0.600657i	0.0322216	−	0.0404046i
$222$	0.317109	−	1.38934i	0.0212829	−	0.0932467i
$223$	1.30483	−	5.71682i	0.0873776	−	0.382826i	−0.912264	−	0.409603i	$-0.865667\pi$
$223$	1.30483	−	5.71682i	0.0873776	−	0.382826i	0.999641	+	0.0267768i	$0.00852434\pi$
$224$	−7.22963	−	9.19381i	−0.483050	−	0.614287i
$225$	−2.93751	−	12.8701i	−0.195834	−	0.858004i
$226$	−3.41431			−0.227117
$227$	−20.5925			−1.36677			−0.683387	−	0.730057i	$-0.739494\pi$
$227$	−20.5925			−1.36677			−0.683387	+	0.730057i	$0.739494\pi$
$228$	−5.79823	−	25.4037i	−0.383997	−	1.68240i
$229$	21.2986	+	10.2569i	1.40745	+	0.677793i	0.974658	−	0.223701i	$-0.0718138\pi$
$229$	21.2986	+	10.2569i	1.40745	+	0.677793i	0.432793	+	0.901493i	$0.357528\pi$
$230$	−4.52143	+	5.66969i	−0.298134	+	0.373848i
$231$	30.7852	+	0.210295i	2.02552	+	0.0138364i
$232$	−6.06329	−	7.60312i	−0.398074	−	0.499169i
$233$	−3.39982	−	14.8956i	−0.222729	−	0.975842i	−0.955413	−	0.295272i	$-0.904590\pi$
$233$	−3.39982	−	14.8956i	−0.222729	−	0.975842i	0.732684	−	0.680569i	$-0.238268\pi$
$234$	−0.593491	−	0.744215i	−0.0387977	−	0.0486508i
$235$	37.4208	+	18.0209i	2.44106	+	1.17555i
$236$	−5.92917	+	7.43494i	−0.385956	+	0.483973i
$237$	10.1929	−	4.90866i	0.662103	−	0.318852i
$238$	−0.193327	+	0.821125i	−0.0125315	+	0.0532256i
$239$	−19.9247	−	9.59522i	−1.28882	−	0.620663i	−0.341178	−	0.939999i	$-0.610826\pi$
$239$	−19.9247	−	9.59522i	−1.28882	−	0.620663i	−0.947642	+	0.319336i	$0.896540\pi$
$240$	20.3695	−	9.80944i	1.31485	−	0.633196i
$241$	−3.10157	+	13.5889i	−0.199790	+	0.875335i	0.771272	+	0.636506i	$0.219621\pi$
$241$	−3.10157	+	13.5889i	−0.199790	+	0.875335i	−0.971062	+	0.238830i	$0.923236\pi$
$242$	−5.45063	+	2.62488i	−0.350380	+	0.168734i
$243$	−12.1949	−	15.2919i	−0.782303	−	0.980977i
$244$	22.8553			1.46316
$245$	5.41368	−	22.3095i	0.345867	−	1.42530i
$246$	−2.77839			−0.177144
$247$	3.86329	+	4.84441i	0.245815	+	0.308243i
$248$	9.86907	−	4.75269i	0.626686	−	0.301796i
$249$	−5.02469	+	22.0146i	−0.318427	+	1.39512i
$250$	0.926479	−	0.446169i	0.0585957	−	0.0282182i
$251$	9.05520	+	4.36075i	0.571559	+	0.275248i	0.697258	−	0.716820i	$-0.254403\pi$
$251$	9.05520	+	4.36075i	0.571559	+	0.275248i	−0.125699	+	0.992068i	$0.540117\pi$
$252$	−9.96004	−	4.88060i	−0.627424	−	0.307449i
$253$	24.2776	−	11.6915i	1.52632	−	0.735036i
$254$	1.49569	−	1.87553i	0.0938479	−	0.117682i
$255$	−5.22295	−	2.51524i	−0.327074	−	0.157510i
$256$	2.45056	+	3.07291i	0.153160	+	0.192057i
$257$	3.56554	+	15.6216i	0.222412	+	0.974451i	0.955656	+	0.294485i	$0.0951482\pi$
$257$	3.56554	+	15.6216i	0.222412	+	0.974451i	−0.733244	+	0.679966i	$0.761995\pi$
$258$	0.545055	+	0.683478i	0.0339337	+	0.0425515i
$259$	2.44079	+	3.10392i	0.151664	+	0.192868i
$260$	−3.73736	+	4.68651i	−0.231781	+	0.290645i
$261$	−12.6504	−	6.09212i	−0.783041	−	0.377093i
$262$	0.425562	+	1.86451i	0.0262913	+	0.115190i
$263$	−6.75499			−0.416531			−0.208265	−	0.978072i	$-0.566782\pi$
$263$	−6.75499			−0.416531			−0.208265	+	0.978072i	$0.566782\pi$
$264$	18.4846			1.13765
$265$	−4.28032	−	18.7533i	−0.262938	−	1.15201i
$266$	−6.10952	−	2.99377i	−0.374599	−	0.183560i
$267$	−7.24739	+	31.7529i	−0.443533	+	1.94325i
$268$	−1.80936	+	7.92731i	−0.110524	+	0.484237i
$269$	−2.72836	+	3.42126i	−0.166351	+	0.208598i	−0.858019	−	0.513618i	$-0.828305\pi$
$269$	−2.72836	+	3.42126i	−0.166351	+	0.208598i	0.691668	+	0.722216i	$0.256876\pi$
$270$	1.37916	−	1.72942i	0.0839333	−	0.105249i
$271$	−7.01062	+	30.7155i	−0.425865	+	1.86584i	0.0701724	+	0.997535i	$0.477645\pi$
$271$	−7.01062	+	30.7155i	−0.425865	+	1.86584i	−0.496037	+	0.868301i	$0.665212\pi$
$272$	0.512227	−	2.24421i	0.0310583	−	0.136075i
$273$	6.08717	+	0.0415816i	0.368412	+	0.00251663i
$274$	0.476703	+	2.08857i	0.0287987	+	0.126175i
$275$	−29.1079			−1.75528
$276$	−22.4061			−1.34869
$277$	1.04145	+	4.56290i	0.0625747	+	0.274158i	0.996530	−	0.0832315i	$-0.0265241\pi$
$277$	1.04145	+	4.56290i	0.0625747	+	0.274158i	−0.933956	+	0.357389i	$0.883667\pi$
$278$	−8.02452	−	3.86441i	−0.481279	−	0.231772i
$279$	9.86080	−	12.3651i	0.590351	−	0.740276i
$280$	3.15893	−	13.4170i	0.188782	−	0.801821i
$281$	−13.5750	−	17.0225i	−0.809818	−	1.01548i	−0.999435	−	0.0336217i	$-0.989296\pi$
$281$	−13.5750	−	17.0225i	−0.809818	−	1.01548i	0.189616	−	0.981858i	$-0.439276\pi$
$282$	−2.69089	−	11.7896i	−0.160240	−	0.702059i
$283$	9.61416	+	12.0558i	0.571502	+	0.716641i	0.980637	−	0.195832i	$-0.0627409\pi$
$283$	9.61416	+	12.0558i	0.571502	+	0.716641i	−0.409135	+	0.912474i	$0.634169\pi$
$284$	3.16139	+	1.52245i	0.187594	+	0.0903406i
$285$	29.1508	−	36.5539i	1.72674	−	2.16527i
$286$	−1.89103	+	0.910672i	−0.111819	+	0.0538491i
$287$	4.84091	−	5.98597i	0.285750	−	0.353340i
$288$	−9.13518	−	4.39927i	−0.538295	−	0.259229i
$289$	14.7847	−	7.11993i	0.869687	−	0.418819i
$290$	1.85404	−	8.12310i	0.108873	−	0.477005i
$291$	−30.5756	+	14.7244i	−1.79237	+	0.863162i
$292$	−10.1770	−	12.7616i	−0.595565	−	0.746815i
$293$	−11.4466			−0.668718			−0.334359	−	0.942446i	$-0.608520\pi$
$293$	−11.4466			−0.668718			−0.334359	+	0.942446i	$0.608520\pi$
$294$	−6.06113	+	2.81754i	−0.353493	+	0.164322i
$295$	−17.0632			−0.993457
$296$	1.47821	+	1.85361i	0.0859190	+	0.107739i
$297$	−7.40535	+	3.56623i	−0.429702	+	0.206934i
$298$	−1.03852	+	4.55007i	−0.0601601	+	0.263579i
$299$	4.80041	−	2.31176i	0.277615	−	0.133692i
$300$	21.8068	+	10.5016i	1.25902	+	0.606310i
$301$	−2.42221	−	0.0165462i	−0.139614	−	0.000953705i
$302$	−6.41115	+	3.08745i	−0.368920	+	0.177663i
$303$	−19.2107	+	24.0895i	−1.10363	+	1.38391i
$304$	16.7269	+	8.05526i	0.959354	+	0.462001i
$305$	25.5689	+	32.0624i	1.46407	+	1.83589i
$306$	0.162731	+	0.712970i	0.00930269	+	0.0407578i
$307$	9.27745	+	11.6336i	0.529492	+	0.663962i	0.972594	−	0.232509i	$-0.0746936\pi$
$307$	9.27745	+	11.6336i	0.529492	+	0.663962i	−0.443102	+	0.896471i	$0.646122\pi$
$308$	−15.3787	+	19.0163i	−0.876282	+	1.08356i
$309$	2.84252	−	3.56441i	0.161706	−	0.202772i
$310$	8.45564	+	4.07202i	0.480248	+	0.231275i
$311$	−2.89520	−	12.6847i	−0.164172	−	0.719283i	−0.988255	−	0.152814i	$-0.951166\pi$
$311$	−2.89520	−	12.6847i	−0.164172	−	0.719283i	0.824083	−	0.566469i	$-0.191691\pi$
$312$	3.65497			0.206922
$313$	−33.1322			−1.87274			−0.936371	−	0.351013i	$-0.885837\pi$
$313$	−33.1322			−1.87274			−0.936371	+	0.351013i	$0.885837\pi$
$314$	0.552329	+	2.41991i	0.0311698	+	0.136564i
$315$	−4.29588	−	19.4324i	−0.242046	−	1.09489i
$316$	−1.99988	+	8.76205i	−0.112502	+	0.492904i
$317$	−1.06994	+	4.68773i	−0.0600941	+	0.263289i	−0.996046	−	0.0888383i	$-0.971685\pi$
$317$	−1.06994	+	4.68773i	−0.0600941	+	0.263289i	0.935952	+	0.352128i	$0.114542\pi$
$318$	−3.49186	+	4.37866i	−0.195814	+	0.245543i
$319$	−19.3031	+	24.2054i	−1.08077	+	1.35524i
$320$	−3.03430	+	13.2941i	−0.169623	+	0.743166i
$321$	−0.907186	+	3.97464i	−0.0506342	+	0.221843i
$322$	−3.67877	+	4.54894i	−0.205010	+	0.253502i
$323$	−1.05928	−	4.64103i	−0.0589401	−	0.258234i
$324$	19.4111			1.07840
$325$	−5.75552			−0.319259
$326$	1.76122	+	7.71641i	0.0975450	+	0.427373i
$327$	−18.7695	−	9.03893i	−1.03796	−	0.499854i
$328$	2.88198	−	3.61389i	0.159131	−	0.199544i
$329$	30.0888	+	14.7440i	1.65885	+	0.812865i
$330$	9.87439	+	12.3821i	0.543567	+	0.681612i
$331$	−0.673520	−	2.95088i	−0.0370200	−	0.162195i	0.953039	−	0.302847i	$-0.0979372\pi$
$331$	−0.673520	−	2.95088i	−0.0370200	−	0.162195i	−0.990059	+	0.140652i	$0.955080\pi$
$332$	−11.1844	−	14.0247i	−0.613821	−	0.769708i
$333$	3.08413	+	1.48524i	0.169009	+	0.0813905i
$334$	−1.48401	+	1.86089i	−0.0812015	+	0.101823i
$335$	−13.1449	+	6.33027i	−0.718185	+	0.345859i
$336$	16.4866	−	7.80122i	0.899415	−	0.425592i
$337$	10.6106	+	5.10981i	0.577998	+	0.278349i	0.699956	−	0.714186i	$-0.253203\pi$
$337$	10.6106	+	5.10981i	0.577998	+	0.278349i	−0.121958	+	0.992535i	$0.538917\pi$
$338$	−0.373914	+	0.180067i	−0.0203382	+	0.00979438i
$339$	4.21201	−	18.4540i	0.228765	−	1.00228i
$340$	4.14915	−	1.99813i	0.225019	−	0.108364i
$341$	−21.7428	−	27.2646i	−1.17744	−	1.47646i
$342$	−5.89811			−0.318933
$343$	4.49027	−	17.9677i	0.242452	−	0.970163i
$344$	−1.45439			−0.0784153
$345$	−25.0663	−	31.4322i	−1.34953	−	1.69225i
$346$	5.13671	−	2.47371i	0.276151	−	0.132987i
$347$	5.48035	−	24.0110i	0.294201	−	1.28898i	−0.584417	−	0.811453i	$-0.698677\pi$
$347$	5.48035	−	24.0110i	0.294201	−	1.28898i	0.878618	−	0.477525i	$-0.158466\pi$
$348$	23.1942	−	11.1697i	1.24334	−	0.598760i
$349$	24.4767	+	11.7873i	1.31021	+	0.630962i	0.952973	−	0.303054i	$-0.0980063\pi$
$349$	24.4767	+	11.7873i	1.31021	+	0.630962i	0.357232	+	0.934016i	$0.383721\pi$
$350$	5.71244	−	2.70305i	0.305343	−	0.144484i
$351$	−1.46426	+	0.705152i	−0.0781565	+	0.0376382i
$352$	−13.9393	+	17.4793i	−0.742965	+	0.931649i
$353$	−1.26805	−	0.610659i	−0.0674913	−	0.0325021i	0.399834	−	0.916588i	$-0.369068\pi$
$353$	−1.26805	−	0.610659i	−0.0674913	−	0.0325021i	−0.467325	+	0.884086i	$0.654782\pi$
$354$	3.09750	+	3.88415i	0.164631	+	0.206440i
$355$	1.40099	+	6.13814i	0.0743568	+	0.325779i
$356$	−16.1318	−	20.2287i	−0.854985	−	1.07212i
$357$	−4.19960	−	2.05788i	−0.222266	−	0.108914i
$358$	3.99224	−	5.00611i	0.210996	−	0.264581i
$359$	−10.8982	−	5.24831i	−0.575186	−	0.276995i	0.123593	−	0.992333i	$-0.460558\pi$
$359$	−10.8982	−	5.24831i	−0.575186	−	0.276995i	−0.698779	+	0.715338i	$0.746273\pi$
$360$	−2.65899	−	11.6498i	−0.140141	−	0.613998i
$361$	19.3933			1.02070
$362$	−7.67129			−0.403194
$363$	−7.46316	−	32.6982i	−0.391714	−	1.71621i
$364$	−3.04083	+	3.76010i	−0.159383	+	0.197083i
$365$	6.51715	−	28.5535i	0.341123	−	1.49456i
$366$	2.65691	−	11.6407i	0.138879	−	0.608468i
$367$	−6.26537	+	7.85652i	−0.327050	+	0.410107i	−0.917987	−	0.396610i	$-0.870187\pi$
$367$	−6.26537	+	7.85652i	−0.327050	+	0.410107i	0.590938	+	0.806717i	$0.298758\pi$
$368$	9.95351	−	12.4813i	0.518862	−	0.650633i
$369$	1.48508	−	6.50655i	0.0773100	−	0.338717i
$370$	−0.452009	+	1.98038i	−0.0234988	+	0.102955i
$371$	−3.34968	−	15.1523i	−0.173906	−	0.786666i
$372$	6.45249	+	28.2702i	0.334546	+	1.46574i
$373$	−24.1044			−1.24808			−0.624039	−	0.781393i	$-0.714509\pi$
$373$	−24.1044			−1.24808			−0.624039	+	0.781393i	$0.714509\pi$
$374$	1.61251			0.0833808
$375$	1.26856	+	5.55793i	0.0655082	+	0.287010i
$376$	18.1261	+	8.72906i	0.934781	+	0.450167i
$377$	−3.81682	+	4.78614i	−0.196576	+	0.246499i
$378$	1.12213	−	1.38756i	0.0577162	−	0.0713682i
$379$	12.8250	+	16.0821i	0.658778	+	0.826081i	0.993210	−	0.116339i	$-0.0371158\pi$
$379$	12.8250	+	16.0821i	0.658778	+	0.826081i	−0.334432	+	0.942420i	$0.608544\pi$
$380$	8.26485	+	36.2107i	0.423978	+	1.85757i
$381$	8.29194	+	10.3978i	0.424809	+	0.532694i
$382$	4.83814	+	2.32993i	0.247541	+	0.119209i
$383$	23.0905	−	28.9546i	1.17987	−	1.47951i	0.336906	−	0.941538i	$-0.390620\pi$
$383$	23.0905	−	28.9546i	1.17987	−	1.47951i	0.842964	−	0.537971i	$-0.180809\pi$
$384$	21.9044	−	10.5486i	1.11780	−	0.538306i
$385$	−43.8815	−	0.299755i	−2.23641	−	0.0152770i
$386$	1.55058	+	0.746719i	0.0789223	+	0.0380070i
$387$	−1.89193	+	0.911107i	−0.0961724	+	0.0463142i
$388$	5.99901	−	26.2834i	0.304554	−	1.33434i
$389$	6.21452	−	2.99275i	0.315089	−	0.151739i	−0.269655	−	0.962957i	$-0.586910\pi$
$389$	6.21452	−	2.99275i	0.315089	−	0.151739i	0.584743	+	0.811218i	$0.301195\pi$
$390$	1.95247	+	2.44832i	0.0988670	+	0.123975i
$391$	−4.09338			−0.207011
$392$	2.62231	−	10.8064i	0.132447	−	0.545805i
$393$	−10.6025			−0.534824
$394$	−2.73918	−	3.43482i	−0.137998	−	0.173044i
$395$	−14.5291	+	6.99684i	−0.731038	+	0.352049i
$396$	−4.71782	+	20.6701i	−0.237079	+	1.03871i
$397$	−13.5776	+	6.53864i	−0.681441	+	0.328165i	−0.742382	−	0.669977i	$-0.766304\pi$
$397$	−13.5776	+	6.53864i	−0.681441	+	0.328165i	0.0609410	+	0.998141i	$0.480590\pi$
$398$	0.625988	+	0.301460i	0.0313779	+	0.0151108i
$399$	23.7180	−	29.3281i	1.18738	−	1.46824i
$400$	−15.5372	+	7.48232i	−0.776860	+	0.374116i
$401$	−13.7418	+	17.2317i	−0.686234	+	0.860510i	−0.995912	−	0.0903312i	$-0.971207\pi$
$401$	−13.7418	+	17.2317i	−0.686234	+	0.860510i	0.309678	+	0.950842i	$0.399779\pi$
$402$	3.82720	+	1.84308i	0.190883	+	0.0919246i
$403$	−4.29921	−	5.39104i	−0.214159	−	0.268547i
$404$	−5.44665	−	23.8633i	−0.270981	−	1.18724i
$405$	21.7158	+	27.2308i	1.07907	+	1.35311i
$406$	1.54046	−	6.54286i	0.0764518	−	0.324716i
$407$	4.70603	−	5.90118i	0.233269	−	0.292511i
$408$	−2.52992	−	1.21835i	−0.125250	−	0.0603171i
$409$	−4.36153	−	19.1091i	−0.215664	−	0.944884i	−0.960641	−	0.277794i	$-0.910397\pi$
$409$	−4.36153	−	19.1091i	−0.215664	−	0.944884i	0.744977	−	0.667090i	$-0.232460\pi$
$410$	3.96034			0.195587
$411$	−11.8766			−0.585830
$412$	0.805915	+	3.53094i	0.0397046	+	0.173957i
$413$	−13.7652	−	0.0940305i	−0.677342	−	0.00462694i
$414$	−1.12856	+	4.94454i	−0.0554657	+	0.243011i
$415$	7.16223	−	31.3798i	0.351580	−	1.54037i
$416$	−2.75622	+	3.45619i	−0.135135	+	0.169453i
$417$	30.7860	−	38.6045i	1.50760	−	1.89047i
$418$	−2.89392	+	12.6791i	−0.141546	+	0.620156i
$419$	−5.68098	+	24.8900i	−0.277534	+	1.21596i	0.623366	+	0.781930i	$0.285765\pi$
$419$	−5.68098	+	24.8900i	−0.277534	+	1.21596i	−0.900900	+	0.434026i	$0.857093\pi$
$420$	32.7665	+	16.0562i	1.59884	+	0.783461i
$421$	−3.89438	−	17.0624i	−0.189801	−	0.831571i	−0.976721	−	0.214516i	$-0.931183\pi$
$421$	−3.89438	−	17.0624i	−0.189801	−	0.831571i	0.786920	−	0.617055i	$-0.211674\pi$
$422$	7.83953			0.381623
$423$	29.0476			1.41234
$424$	−2.07332	−	9.08382i	−0.100689	−	0.441149i
$425$	3.98390	+	1.91854i	0.193247	+	0.0930631i
$426$	1.14292	−	1.43318i	0.0553747	−	0.0694377i
$427$	20.4503	+	26.0063i	0.989658	+	1.25853i
$428$	−2.01929	−	2.53211i	−0.0976060	−	0.122394i
$429$	−2.58925	−	11.3443i	−0.125010	−	0.547706i
$430$	−0.776926	−	0.974235i	−0.0374667	−	0.0469818i
$431$	2.85461	+	1.37471i	0.137502	+	0.0662174i	0.501370	−	0.865233i	$-0.332830\pi$
$431$	2.85461	+	1.37471i	0.137502	+	0.0662174i	−0.363868	+	0.931451i	$0.618544\pi$
$432$	−3.03610	+	3.80715i	−0.146075	+	0.183172i
$433$	−29.8973	+	14.3978i	−1.43677	+	0.691912i	−0.980243	−	0.197797i	$-0.936621\pi$
$433$	−29.8973	+	14.3978i	−1.43677	+	0.691912i	−0.456528	+	0.889709i	$0.650907\pi$
$434$	6.79890	+	3.33158i	0.326358	+	0.159921i
$435$	41.6173	+	20.0419i	1.99540	+	0.960933i
$436$	14.9107	−	7.18059i	0.714091	−	0.343888i
$437$	7.34628	−	32.1861i	0.351420	−	1.53967i
$438$	−7.68280	+	3.69984i	−0.367098	+	0.176785i
$439$	8.21384	+	10.2998i	0.392025	+	0.491584i	0.938203	−	0.346085i	$-0.112489\pi$
$439$	8.21384	+	10.2998i	0.392025	+	0.491584i	−0.546178	+	0.837669i	$0.683918\pi$
$440$	−26.3481			−1.25610
$441$	−3.35849	−	15.7002i	−0.159928	−	0.747629i
$442$	0.318842			0.0151658
$443$	7.10300	+	8.90688i	0.337474	+	0.423178i	0.921392	−	0.388634i	$-0.127053\pi$
$443$	7.10300	+	8.90688i	0.337474	+	0.423178i	−0.583919	+	0.811812i	$0.698481\pi$
$444$	−5.65465	+	2.72314i	−0.268358	+	0.129234i
$445$	10.3305	−	45.2608i	0.489712	−	2.14557i
$446$	2.19257	−	1.05589i	0.103821	−	0.0499976i
$447$	−23.3115	−	11.2262i	−1.10260	−	0.530983i
$448$	−2.52109	+	10.7079i	−0.119111	+	0.505903i
$449$	−32.0070	+	15.4138i	−1.51050	+	0.727420i	−0.991832	−	0.127553i	$-0.959288\pi$
$449$	−32.0070	+	15.4138i	−1.51050	+	0.727420i	−0.518672	+	0.854973i	$0.673573\pi$
$450$	3.41585	−	4.28334i	0.161025	−	0.201919i
$451$	−13.2584	−	6.38491i	−0.624314	−	0.300654i
$452$	9.37543	+	11.7564i	0.440983	+	0.552975i
$453$	−8.77834	−	38.4604i	−0.412442	−	1.80703i
$454$	−5.32844	−	6.68166i	−0.250076	−	0.313586i
$455$	−8.67670	−	0.0592707i	−0.406770	−	0.00277866i
$456$	14.1202	−	17.7062i	0.661239	−	0.829168i
$457$	25.9559	+	12.4997i	1.21416	+	0.584711i	0.927681	−	0.373374i	$-0.121799\pi$
$457$	25.9559	+	12.4997i	1.21416	+	0.584711i	0.286484	+	0.958085i	$0.407513\pi$
$458$	2.18310	+	9.56479i	0.102010	+	0.446933i
$459$	1.24860			0.0582796
$460$	31.9378			1.48911
$461$	3.60008	+	15.7730i	0.167673	+	0.734622i	0.986924	+	0.161187i	$0.0515322\pi$
$461$	3.60008	+	15.7730i	0.167673	+	0.734622i	−0.819251	+	0.573435i	$0.805611\pi$
$462$	7.89764	+	10.0433i	0.367432	+	0.467257i
$463$	0.281743	−	1.23440i	0.0130937	−	0.0573673i	−0.967959	−	0.251108i	$-0.919205\pi$
$463$	0.281743	−	1.23440i	0.0130937	−	0.0573673i	0.981053	+	0.193741i	$0.0620621\pi$
$464$	−4.08151	+	17.8823i	−0.189479	+	0.830163i
$465$	−32.4400	+	40.6785i	−1.50437	+	1.88642i
$466$	3.95345	−	4.95747i	0.183140	−	0.229650i
$467$	0.310324	−	1.35962i	0.0143601	−	0.0629156i	−0.967240	−	0.253863i	$-0.918299\pi$
$467$	0.310324	−	1.35962i	0.0143601	−	0.0629156i	0.981600	+	0.190947i	$0.0611560\pi$
$468$	−0.932856	+	4.08711i	−0.0431213	+	0.188927i
$469$	−10.6392	+	5.03432i	−0.491271	+	0.232463i
$470$	3.83562	+	16.8049i	0.176924	+	0.775154i
$471$	−13.7608			−0.634062
$472$	−8.26516			−0.380435
$473$	1.03032	+	4.51411i	0.0473740	+	0.207559i
$474$	4.23020	+	2.03716i	0.194300	+	0.0935698i
$475$	−22.2353	+	27.8821i	−1.02022	+	1.27932i
$476$	3.35822	−	1.58906i	0.153924	−	0.0728347i
$477$	−8.38768	−	10.5178i	−0.384046	−	0.481578i
$478$	−2.04227	−	8.94779i	−0.0934114	−	0.409262i
$479$	11.2425	+	14.0976i	0.513682	+	0.644137i	0.969254	−	0.246062i	$-0.0791367\pi$
$479$	11.2425	+	14.0976i	0.513682	+	0.644137i	−0.455572	+	0.890199i	$0.650565\pi$
$480$	30.0529	+	14.4727i	1.37172	+	0.660586i
$481$	0.930525	−	1.16684i	0.0424283	−	0.0532034i
$482$	−5.21173	+	2.50984i	−0.237388	+	0.114320i
$483$	−20.0483	−	25.4951i	−0.912229	−	1.16007i
$484$	24.0052	+	11.5603i	1.09114	+	0.525468i
$485$	43.5827	−	20.9883i	1.97899	−	0.953031i
$486$	1.80627	−	7.91376i	0.0819338	−	0.358976i
$487$	16.9738	−	8.17414i	0.769155	−	0.370405i	−0.00779358	−	0.999970i	$-0.502481\pi$
$487$	16.9738	−	8.17414i	0.769155	−	0.370405i	0.776949	+	0.629564i	$0.216767\pi$
$488$	12.3852	+	15.5306i	0.560652	+	0.703036i
$489$	−43.8791			−1.98428
$490$	8.63959	−	4.01614i	0.390297	−	0.181431i
$491$	32.3399			1.45948			0.729740	−	0.683725i	$-0.239641\pi$
$491$	32.3399			1.45948			0.729740	+	0.683725i	$0.239641\pi$
$492$	7.62923	+	9.56676i	0.343952	+	0.431303i
$493$	4.23736	−	2.04060i	0.190841	−	0.0919042i
$494$	−0.572217	+	2.50704i	−0.0257452	+	0.112797i
$495$	−34.2749	+	16.5059i	−1.54054	+	0.741885i
$496$	−18.6143	−	8.96419i	−0.835808	−	0.402504i
$497$	1.09638	+	4.95948i	0.0491795	+	0.222463i
$498$	−8.44325	+	4.06606i	−0.378351	+	0.182204i
$499$	−4.15094	+	5.20512i	−0.185822	+	0.233013i	−0.866013	−	0.500022i	$-0.833325\pi$
$499$	−4.15094	+	5.20512i	−0.185822	+	0.233013i	0.680191	+	0.733035i	$0.261897\pi$
$500$	−4.08032	−	1.96498i	−0.182477	−	0.0878764i
$501$	−8.22721	−	10.3166i	−0.367565	−	0.460911i
$502$	0.928156	+	4.06652i	0.0414256	+	0.181497i
$503$	−10.2232	−	12.8195i	−0.455831	−	0.571594i	0.499807	−	0.866137i	$-0.333404\pi$
$503$	−10.2232	−	12.8195i	−0.455831	−	0.571594i	−0.955638	+	0.294542i	$0.904833\pi$
$504$	−2.08086	−	9.41279i	−0.0926890	−	0.419279i
$505$	27.3831	−	34.3374i	1.21853	−	1.52799i
$506$	10.0755	+	4.85211i	0.447911	+	0.215703i
$507$	−0.511974	−	2.24310i	−0.0227376	−	0.0996197i
$508$	−10.5650			−0.468747
$509$	−28.2616			−1.25267			−0.626337	−	0.779552i	$-0.715447\pi$
$509$	−28.2616			−1.25267			−0.626337	+	0.779552i	$0.715447\pi$
$510$	−0.535351	−	2.34553i	−0.0237057	−	0.103862i
$511$	5.41487	−	22.9988i	0.239540	−	1.01741i
$512$	−5.06565	+	22.1941i	−0.223872	+	0.980848i
$513$	−2.24082	+	9.81769i	−0.0989348	+	0.433462i
$514$	−4.14615	+	5.19911i	−0.182879	+	0.229323i
$515$	−4.05176	+	5.08074i	−0.178542	+	0.223884i
$516$	0.856724	−	3.75355i	0.0377152	−	0.165241i
$517$	14.2523	−	62.4434i	0.626815	−	2.74626i
$518$	−0.375558	+	1.59512i	−0.0165011	+	0.0700857i
$519$	7.03333	+	30.8150i	0.308729	+	1.35263i
$520$	−5.20982			−0.228466
$521$	13.3776			0.586084			0.293042	−	0.956100i	$-0.405332\pi$
$521$	13.3776			0.586084			0.293042	+	0.956100i	$0.405332\pi$
$522$	−1.29666	−	5.68106i	−0.0567535	−	0.248653i
$523$	15.3683	+	7.40096i	0.672007	+	0.323621i	0.738586	−	0.674160i	$-0.235494\pi$
$523$	15.3683	+	7.40096i	0.672007	+	0.323621i	−0.0665787	+	0.997781i	$0.521208\pi$
$524$	5.25146	−	6.58512i	0.229411	−	0.287672i
$525$	7.56267	+	34.2097i	0.330062	+	1.49303i
$526$	−1.74790	−	2.19179i	−0.0762119	−	0.0955667i
$527$	1.17881	+	5.16471i	0.0513498	+	0.224978i
$528$	−21.7376	−	27.2581i	−0.946006	−	1.18625i
$529$	−4.85456	−	2.33783i	−0.211068	−	0.101645i
$530$	4.97733	−	6.24137i	0.216201	−	0.271108i
$531$	−10.7517	+	5.17775i	−0.466584	+	0.224695i
$532$	6.46787	+	29.2574i	0.280418	+	1.26847i
$533$	−2.62159	−	1.26249i	−0.113554	−	0.0546845i
$534$	−12.1782	+	5.86470i	−0.527001	+	0.253790i
$535$	1.29311	−	5.66548i	0.0559060	−	0.244940i
$536$	−6.36722	+	3.06629i	−0.275022	+	0.132444i
$537$	22.1326	+	27.7533i	0.955090	+	1.19765i
$538$	−1.81608			−0.0782967
$539$	−35.3985	−	0.483638i	−1.52472	−	0.0208318i
$540$	−9.74193			−0.419226
$541$	−10.7530	−	13.4839i	−0.462309	−	0.579717i	0.494960	−	0.868916i	$-0.335183\pi$
$541$	−10.7530	−	13.4839i	−0.462309	−	0.579717i	−0.957269	+	0.289199i	$0.906611\pi$
$542$	−11.7803	+	5.67310i	−0.506008	+	0.243681i
$543$	9.46356	−	41.4625i	0.406120	−	1.77933i
$544$	3.05990	−	1.47357i	0.131192	−	0.0631788i
$545$	26.7542	+	12.8842i	1.14603	+	0.551897i
$546$	1.56160	+	1.98587i	0.0668304	+	0.0849872i
$547$	−9.51115	+	4.58033i	−0.406667	+	0.195841i	−0.626024	−	0.779804i	$-0.715319\pi$
$547$	−9.51115	+	4.58033i	−0.406667	+	0.195841i	0.219356	+	0.975645i	$0.429604\pi$
$548$	5.88254	−	7.37647i	0.251290	−	0.315107i
$549$	25.8405	+	12.4441i	1.10284	+	0.531102i
$550$	−7.53187	−	9.44466i	−0.321160	−	0.402722i
$551$	8.44055	+	36.9805i	0.359579	+	1.57542i
$552$	−12.1418	−	15.2253i	−0.516788	−	0.648031i
$553$	−11.7595	+	5.56443i	−0.500064	+	0.236624i
$554$	−1.21104	+	1.51860i	−0.0514522	+	0.0645191i
$555$	−10.1461	−	4.88613i	−0.430680	−	0.207405i
$556$	8.72848	+	38.2420i	0.370170	+	1.62182i
$557$	−41.5895			−1.76220			−0.881101	−	0.472928i	$-0.843197\pi$
$557$	−41.5895			−1.76220			−0.881101	+	0.472928i	$0.843197\pi$
$558$	6.56364			0.277861
$559$	0.203725	+	0.892576i	0.00861664	+	0.0377520i
$560$	−23.5001	+	11.1199i	−0.993059	+	0.469902i
$561$	−1.98924	+	8.71545i	−0.0839859	+	0.367966i
$562$	2.01068	−	8.80939i	0.0848156	−	0.371601i
$563$	4.62499	−	5.79955i	0.194920	−	0.244422i	−0.674761	−	0.738036i	$-0.735753\pi$
$563$	4.62499	−	5.79955i	0.194920	−	0.244422i	0.869681	+	0.493615i	$0.164325\pi$
$564$	−33.2058	+	41.6387i	−1.39821	+	1.75331i
$565$	−6.00383	+	26.3045i	−0.252583	+	1.10664i
$566$	−1.42402	+	6.23902i	−0.0598558	+	0.262245i
$567$	17.3685	+	22.0873i	0.729409	+	0.927578i
$568$	0.678619	+	2.97323i	0.0284742	+	0.124754i
$569$	−35.5673			−1.49106			−0.745530	−	0.666472i	$-0.767804\pi$
$569$	−35.5673			−1.49106			−0.745530	+	0.666472i	$0.767804\pi$
$570$	19.4036			0.812727
$571$	1.73556	+	7.60397i	0.0726308	+	0.318216i	0.998172	−	0.0604294i	$-0.0192470\pi$
$571$	1.73556	+	7.60397i	0.0726308	+	0.318216i	−0.925542	+	0.378646i	$0.876390\pi$
$572$	8.32831	+	4.01070i	0.348224	+	0.167696i
$573$	−18.5615	+	23.2754i	−0.775418	+	0.972343i
$574$	3.19488	+	0.0218243i	0.133352	+	0.000910930i
$575$	19.1198	+	23.9754i	0.797350	+	0.999845i
$576$	2.12210	+	9.29754i	0.0884210	+	0.387398i
$577$	−21.8657	−	27.4187i	−0.910279	−	1.14145i	−0.989491	−	0.144596i	$-0.953812\pi$
$577$	−21.8657	−	27.4187i	−0.910279	−	1.14145i	0.0792114	−	0.996858i	$-0.474760\pi$
$578$	6.13584	+	2.95486i	0.255217	+	0.122906i
$579$	−5.94878	+	7.45954i	−0.247223	+	0.310008i
$580$	−33.0611	+	15.9214i	−1.37279	+	0.661100i
$581$	5.95084	−	25.2752i	0.246883	−	1.04859i
$582$	−12.6893	−	6.11083i	−0.525987	−	0.253302i
$583$	−26.7255	+	12.8703i	−1.10686	+	0.533034i
$584$	3.15681	−	13.8309i	0.130630	−	0.572327i
$585$	−6.77718	+	3.26372i	−0.280202	+	0.134938i
$586$	−2.96188	−	3.71409i	−0.122354	−	0.153427i
$587$	41.3757			1.70776			0.853879	−	0.520471i	$-0.174244\pi$
$587$	41.3757			1.70776			0.853879	+	0.520471i	$0.174244\pi$
$588$	26.3449	+	13.1334i	1.08645	+	0.541613i
$589$	−42.7255			−1.76047
$590$	−4.41521	−	5.53649i	−0.181771	−	0.227934i
$591$	21.9440	−	10.5677i	0.902656	−	0.434696i
$592$	0.995057	−	4.35963i	0.0408966	−	0.179180i
$593$	3.25025	−	1.56524i	0.133472	−	0.0642767i	−0.365956	−	0.930632i	$-0.619258\pi$
$593$	3.25025	−	1.56524i	0.133472	−	0.0642767i	0.499428	+	0.866356i	$0.333544\pi$
$594$	−3.07332	−	1.48003i	−0.126100	−	0.0607264i
$595$	5.98614	+	2.93331i	0.245408	+	0.120254i
$596$	18.5188	−	8.91821i	0.758561	−	0.365304i
$597$	−2.40160	+	3.01151i	−0.0982909	+	0.123253i
$598$	1.99223	+	0.959409i	0.0814685	+	0.0392331i
$599$	−2.76242	−	3.46397i	−0.112870	−	0.141534i	0.722187	−	0.691697i	$-0.243137\pi$
$599$	−2.76242	−	3.46397i	−0.112870	−	0.141534i	−0.835057	+	0.550163i	$0.814565\pi$
$600$	4.68101	+	20.5088i	0.191101	+	0.837270i
$601$	−2.83698	−	3.55746i	−0.115723	−	0.145112i	0.720596	−	0.693355i	$-0.243868\pi$
$601$	−2.83698	−	3.55746i	−0.115723	−	0.145112i	−0.836319	+	0.548243i	$0.815297\pi$
$602$	−0.621393	−	0.790216i	−0.0253261	−	0.0322068i
$603$	−6.36188	+	7.97755i	−0.259076	+	0.324871i
$604$	28.2354	+	13.5975i	1.14888	+	0.553273i
$605$	10.6380	+	46.6083i	0.432498	+	1.89490i
$606$	−12.7872			−0.519446
$607$	15.7737			0.640236			0.320118	−	0.947378i	$-0.396277\pi$
$607$	15.7737			0.640236			0.320118	+	0.947378i	$0.396277\pi$
$608$	6.09513	+	26.7045i	0.247190	+	1.08301i
$609$	33.4631	+	16.3975i	1.35599	+	0.664461i
$610$	−3.78718	+	16.5927i	−0.153338	+	0.671819i
$611$	2.81811	−	12.3469i	0.114009	−	0.499504i
$612$	2.00811	−	2.51808i	0.0811728	−	0.101788i
$613$	−6.61502	+	8.29497i	−0.267178	+	0.335031i	−0.897264	−	0.441495i	$-0.854448\pi$
$613$	−6.61502	+	8.29497i	−0.267178	+	0.335031i	0.630086	+	0.776526i	$0.283020\pi$
$614$	−1.37414	+	6.02051i	−0.0554559	+	0.242968i
$615$	−4.88560	+	21.4052i	−0.197006	+	0.863142i
$616$	−21.2556	−	0.145197i	−0.856411	−	0.00585016i
$617$	−8.90012	−	38.9940i	−0.358305	−	1.56984i	−0.757414	−	0.652935i	$-0.773538\pi$
$617$	−8.90012	−	38.9940i	−0.358305	−	1.56984i	0.399109	−	0.916904i	$-0.369320\pi$
$618$	1.89207			0.0761101
$619$	−36.3724			−1.46193			−0.730964	−	0.682416i	$-0.760929\pi$
$619$	−36.3724			−1.46193			−0.730964	+	0.682416i	$0.760929\pi$
$620$	−9.19743	−	40.2966i	−0.369377	−	1.61835i
$621$	7.80167	+	3.75709i	0.313070	+	0.150767i
$622$	3.36666	−	4.22165i	0.134991	−	0.169273i
$623$	8.58323	−	36.4559i	0.343880	−	1.46057i
$624$	−4.29818	−	5.38974i	−0.172065	−	0.215762i
$625$	4.59541	+	20.1338i	0.183816	+	0.805351i
$626$	−8.57316	−	10.7504i	−0.342652	−	0.429673i
$627$	−64.9593	−	31.2827i	−2.59422	−	1.24931i
$628$	6.81577	−	8.54671i	0.271979	−	0.341051i
$629$	−1.03305	+	0.497492i	−0.0411905	+	0.0198363i
$630$	5.19366	−	6.42215i	0.206920	−	0.255865i
$631$	−7.09408	−	3.41633i	−0.282411	−	0.136002i	0.287316	−	0.957836i	$-0.407237\pi$
$631$	−7.09408	−	3.41633i	−0.282411	−	0.136002i	−0.569727	+	0.821834i	$0.692951\pi$
$632$	−7.03768	+	3.38917i	−0.279944	+	0.134814i
$633$	−9.67111	+	42.3719i	−0.384392	+	1.68413i
$634$	−1.79789	+	0.865816i	−0.0714032	+	0.0343859i
$635$	−11.8194	−	14.8211i	−0.469038	−	0.588156i
$636$	24.6653			0.978042
$637$	−6.99935	−	0.0956298i	−0.277324	−	0.00378899i
$638$	−12.8487			−0.508686
$639$	2.74537	+	3.44259i	0.108605	+	0.136187i
$640$	−31.2227	+	15.0361i	−1.23419	+	0.594352i
$641$	6.14095	−	26.9053i	0.242553	−	1.06269i	−0.696131	−	0.717915i	$-0.745097\pi$
$641$	6.14095	−	26.9053i	0.242553	−	1.06269i	0.938684	−	0.344779i	$-0.112046\pi$
$642$	−1.52439	+	0.734109i	−0.0601630	+	0.0289730i
$643$	−37.5777	−	18.0965i	−1.48192	−	0.713655i	−0.494122	−	0.869393i	$-0.664510\pi$
$643$	−37.5777	−	18.0965i	−1.48192	−	0.713655i	−0.987799	+	0.155737i	$0.950225\pi$
$644$	25.7649	+	0.176000i	1.01528	+	0.00693538i
$645$	6.22408	−	2.99736i	0.245073	−	0.118021i
$646$	1.23178	−	1.54460i	0.0484637	−	0.0607715i
$647$	5.56408	+	2.67952i	0.218747	+	0.105343i	0.540048	−	0.841634i	$-0.318406\pi$
$647$	5.56408	+	2.67952i	0.218747	+	0.105343i	−0.321302	+	0.946977i	$0.604120\pi$
$648$	10.5188	+	13.1902i	0.413218	+	0.518159i
$649$	5.85520	+	25.6533i	0.229837	+	1.00698i
$650$	−1.48928	−	1.86750i	−0.0584143	−	0.0732492i
$651$	−26.3942	+	32.6374i	−1.03447	+	1.27916i
$652$	21.7336	−	27.2530i	0.851152	−	1.06731i
$653$	20.0212	+	9.64168i	0.783488	+	0.377308i	0.782468	−	0.622691i	$-0.213961\pi$
$653$	20.0212	+	9.64168i	0.783488	+	0.377308i	0.00102086	+	0.999999i	$0.499675\pi$
$654$	−1.92387	−	8.42904i	−0.0752294	−	0.329601i
$655$	15.1128			0.590507
$656$	−8.71832			−0.340393
$657$	−4.55791	−	19.9695i	−0.177821	−	0.779084i
$658$	3.00167	+	13.5780i	0.117017	+	0.529327i
$659$	1.06072	−	4.64732i	0.0413198	−	0.181034i	−0.950057	−	0.312077i	$-0.898975\pi$
$659$	1.06072	−	4.64732i	0.0413198	−	0.181034i	0.991377	+	0.131043i	$0.0418325\pi$
$660$	15.5207	−	68.0005i	0.604141	−	2.64692i
$661$	−21.5493	+	27.0220i	−0.838172	+	1.05103i	0.159785	+	0.987152i	$0.448920\pi$
$661$	−21.5493	+	27.0220i	−0.838172	+	1.05103i	−0.997957	+	0.0638829i	$0.979652\pi$
$662$	0.783196	−	0.982097i	0.0304398	−	0.0381703i
$663$	−0.393334	+	1.72331i	−0.0152758	+	0.0669277i
$664$	3.46928	−	15.1999i	0.134634	−	0.589871i
$665$	−33.8077	+	41.8045i	−1.31101	+	1.62111i
$666$	0.316122	+	1.38502i	0.0122495	+	0.0536685i
$667$	32.6167			1.26292
$668$	10.4825			0.405582
$669$	3.00213	+	13.1532i	0.116069	+	0.508532i
$670$	−5.45532	−	2.62714i	−0.210757	−	0.101495i
$671$	39.4297	−	49.4433i	1.52217	−	1.90874i
$672$	24.1645	+	11.8410i	0.932167	+	0.456778i
$673$	15.6063	+	19.5696i	0.601577	+	0.754354i	0.985623	−	0.168960i	$-0.0540409\pi$
$673$	15.6063	+	19.5696i	0.601577	+	0.754354i	−0.384046	+	0.923314i	$0.625469\pi$
$674$	1.08759	+	4.76503i	0.0418923	+	0.183542i
$675$	−5.83208	−	7.31319i	−0.224477	−	0.281485i
$676$	1.64676	+	0.793037i	0.0633369	+	0.0305014i
$677$	−18.2604	+	22.8978i	−0.701805	+	0.880036i	−0.997157	−	0.0753528i	$-0.975992\pi$
$677$	−18.2604	+	22.8978i	−0.701805	+	0.880036i	0.295352	+	0.955389i	$0.404563\pi$
$678$	7.07766	−	3.40842i	0.271816	−	0.130900i
$679$	35.2747	−	16.6915i	1.35372	−	0.640562i
$680$	3.60617	+	1.73664i	0.138290	+	0.0665971i
$681$	42.6870	−	20.5570i	1.63577	−	0.787746i
$682$	3.22047	−	14.1098i	0.123318	−	0.540292i
$683$	39.2224	−	18.8885i	1.50080	−	0.722748i	0.510268	−	0.860016i	$-0.329546\pi$
$683$	39.2224	−	18.8885i	1.50080	−	0.722748i	0.990534	+	0.137268i	$0.0438321\pi$
$684$	16.1957	+	20.3088i	0.619260	+	0.776527i
$685$	16.9290			0.646824
$686$	6.99186	−	3.19229i	0.266951	−	0.121882i
$687$	−54.3899			−2.07510
$688$	1.71033	+	2.14469i	0.0652058	+	0.0817655i
$689$	−5.28444	+	2.54485i	−0.201321	+	0.0969512i
$690$	3.71273	−	16.2665i	0.141341	−	0.619257i
$691$	−23.9400	+	11.5289i	−0.910720	+	0.438579i	−0.829749	−	0.558137i	$-0.811516\pi$
$691$	−23.9400	+	11.5289i	−0.910720	+	0.438579i	−0.0809708	+	0.996716i	$0.525802\pi$
$692$	−22.6226	−	10.8945i	−0.859984	−	0.414147i
$693$	−27.7412	+	13.1268i	−1.05380	+	0.498645i
$694$	9.20893	−	4.43479i	0.349566	−	0.168342i
$695$	−43.8826	+	55.0271i	−1.66456	+	2.08730i
$696$	20.1588	+	9.70798i	0.764118	+	0.367980i
$697$	1.39379	+	1.74776i	0.0527936	+	0.0662011i
$698$	2.50885	+	10.9920i	0.0949614	+	0.416053i
$699$	21.9175	+	27.4837i	0.828996	+	1.03953i
$700$	−24.9932	−	12.2471i	−0.944656	−	0.462898i
$701$	−2.85189	+	3.57616i	−0.107714	+	0.135070i	−0.832766	−	0.553625i	$-0.813244\pi$
$701$	−2.85189	+	3.57616i	−0.107714	+	0.135070i	0.725052	+	0.688694i	$0.241816\pi$
$702$	−0.607688	−	0.292647i	−0.0229357	−	0.0110453i
$703$	−2.05777	−	9.01570i	−0.0776104	−	0.340033i
$704$	21.0281			0.792525
$705$	−95.5608			−3.59903
$706$	−0.129974	−	0.569455i	−0.00489165	−	0.0214317i
$707$	22.2798	−	27.5498i	0.837917	−	1.03612i
$708$	4.86869	−	21.3311i	0.182977	−	0.801672i
$709$	7.12975	−	31.2375i	0.267763	−	1.17315i	−0.644845	−	0.764313i	$-0.723078\pi$
$709$	7.12975	−	31.2375i	0.267763	−	1.17315i	0.912608	−	0.408835i	$-0.134065\pi$
$710$	−1.62913	+	2.04286i	−0.0611401	+	0.0766673i
$711$	−7.03179	+	8.81758i	−0.263713	+	0.330685i
$712$	5.00394	−	21.9237i	0.187530	−	0.821625i
$713$	−8.17521	+	35.8179i	−0.306164	+	1.34139i
$714$	−0.418953	−	1.89513i	−0.0156789	−	0.0709236i
$715$	3.69074	+	16.1702i	0.138026	+	0.604731i
$716$	−28.1998			−1.05387
$717$	50.8813			1.90020
$718$	−1.11706	−	4.89418i	−0.0416885	−	0.182649i
$719$	21.4765	+	10.3425i	0.800938	+	0.385712i	0.789136	−	0.614219i	$-0.210529\pi$
$719$	21.4765	+	10.3425i	0.800938	+	0.385712i	0.0118026	+	0.999930i	$0.496243\pi$
$720$	−14.0523	+	17.6210i	−0.523697	+	0.656696i
$721$	−3.29663	+	4.07641i	−0.122773	+	0.151813i
$722$	5.01815	+	6.29256i	0.186756	+	0.234185i
$723$	−7.13605	−	31.2651i	−0.265393	−	1.16276i
$724$	21.0647	+	26.4144i	0.782865	+	0.981682i
$725$	−31.7444	−	15.2873i	−1.17896	−	0.567755i
$726$	8.67846	−	10.8825i	0.322088	−	0.403886i
$727$	−6.44305	+	3.10281i	−0.238960	+	0.115077i	−0.549531	−	0.835473i	$-0.685194\pi$
$727$	−6.44305	+	3.10281i	−0.238960	+	0.115077i	0.310572	+	0.950550i	$0.399479\pi$
$728$	−4.20287	−	0.0287099i	−0.155769	−	0.00106406i
$729$	11.8396	+	5.70163i	0.438502	+	0.211171i
$730$	10.9511	−	5.27378i	0.405319	−	0.195191i
$731$	0.156515	−	0.685739i	0.00578893	−	0.0253630i
$732$	−47.3777	+	22.8159i	−1.75113	+	0.843300i
$733$	−21.5164	−	26.9807i	−0.794725	−	0.996554i	−0.999841	−	0.0178159i	$-0.994329\pi$
$733$	−21.5164	−	26.9807i	−0.794725	−	0.996554i	0.205116	−	0.978738i	$-0.434243\pi$
$734$	−4.17041			−0.153933
$735$	11.0488	+	51.6505i	0.407540	+	1.90516i
$736$	23.5533			0.868188
$737$	14.0278	+	17.5903i	0.516720	+	0.647946i
$738$	2.49545	−	1.20175i	0.0918589	−	0.0442369i
$739$	−0.573816	+	2.51405i	−0.0211082	+	0.0924810i	−0.984385	−	0.176030i	$-0.943674\pi$
$739$	−0.573816	+	2.51405i	−0.0211082	+	0.0924810i	0.963277	+	0.268511i	$0.0865316\pi$
$740$	8.06018	−	3.88158i	0.296298	−	0.142690i
$741$	−12.8444	−	6.18555i	−0.471852	−	0.227232i
$742$	4.04971	−	5.00761i	0.148669	−	0.183835i
$743$	42.9052	−	20.6620i	1.57404	−	0.758017i	0.575813	−	0.817581i	$-0.304686\pi$
$743$	42.9052	−	20.6620i	1.57404	−	0.758017i	0.998224	+	0.0595648i	$0.0189713\pi$
$744$	−15.7135	+	19.7041i	−0.576084	+	0.722387i
$745$	33.2284	+	16.0020i	1.21739	+	0.586266i
$746$	−6.23717	−	7.82116i	−0.228359	−	0.286353i
$747$	−5.00905	−	21.9461i	−0.183272	−	0.802966i
$748$	−4.42782	−	5.55231i	−0.161897	−	0.203013i
$749$	1.07440	−	4.56334i	0.0392577	−	0.166741i
$750$	−1.47514	+	1.84976i	−0.0538643	+	0.0675437i
$751$	7.21698	+	3.47551i	0.263351	+	0.126823i	0.560901	−	0.827883i	$-0.310455\pi$
$751$	7.21698	+	3.47551i	0.263351	+	0.126823i	−0.297549	+	0.954706i	$0.596169\pi$
$752$	−8.44376	−	36.9945i	−0.307912	−	1.34905i
$753$	−23.1241			−0.842689
$754$	−2.54058			−0.0925226
$755$	12.5127	+	54.8217i	0.455384	+	1.99517i
$756$	−7.85902	−	0.0536851i	−0.285830	−	0.00195251i
$757$	−2.90450	+	12.7254i	−0.105566	+	0.462514i	0.894320	+	0.447427i	$0.147660\pi$
$757$	−2.90450	+	12.7254i	−0.105566	+	0.462514i	−0.999886	+	0.0150866i	$0.995198\pi$
$758$	−1.89960	+	8.32268i	−0.0689965	+	0.302294i
$759$	−38.6546	+	48.4714i	−1.40307	+	1.75940i
$760$	−20.1270	+	25.2385i	−0.730084	+	0.915497i
$761$	0.160779	−	0.704421i	0.00582825	−	0.0255352i	−0.971930	−	0.235269i	$-0.924403\pi$
$761$	0.160779	−	0.704421i	0.00582825	−	0.0255352i	0.977758	+	0.209734i	$0.0672599\pi$
$762$	−1.22817	+	5.38098i	−0.0444920	+	0.194932i
$763$	21.5122	+	10.5413i	0.778793	+	0.381622i
$764$	−5.26257	−	23.0568i	−0.190393	−	0.834167i
$765$	5.77900			0.208940
$766$	15.3697			0.555330
$767$	1.15775	+	5.07244i	0.0418040	+	0.183155i
$768$	−8.14747	−	3.92361i	−0.293996	−	0.141581i
$769$	−16.7216	+	20.9683i	−0.602997	+	0.756135i	−0.985842	−	0.167678i	$-0.946373\pi$
$769$	−16.7216	+	20.9683i	−0.602997	+	0.756135i	0.382845	+	0.923813i	$0.374944\pi$
$770$	−11.2574	−	14.3158i	−0.405687	−	0.515906i
$771$	−22.9858	−	28.8233i	−0.827815	−	1.03805i
$772$	−1.68660	−	7.38949i	−0.0607022	−	0.265954i
$773$	11.3736	+	14.2620i	0.409080	+	0.512970i	0.943103	−	0.332500i	$-0.107892\pi$
$773$	11.3736	+	14.2620i	0.409080	+	0.512970i	−0.534023	+	0.845470i	$0.679321\pi$
$774$	−0.785177	−	0.378121i	−0.0282226	−	0.0135913i
$775$	24.7442	−	31.0283i	0.888838	−	1.11457i
$776$	21.1108	−	10.1664i	0.757834	−	0.364954i
$777$	−8.15818	−	3.99765i	−0.292673	−	0.143415i
$778$	2.57911	+	1.24203i	0.0924654	+	0.0445290i
$779$	−16.2440	+	7.82269i	−0.582001	+	0.280277i
$780$	3.06891	−	13.4458i	0.109884	−	0.481435i
$781$	8.74752	−	4.21258i	0.313011	−	0.150738i
$782$	−1.05919	−	1.32818i	−0.0378765	−	0.0474956i
$783$	−9.94904			−0.355550
$784$	−19.0193	+	8.84117i	−0.679259	+	0.315756i
$785$	19.6147			0.700078
$786$	−2.74346	−	3.44018i	−0.0978558	−	0.122707i
$787$	35.7430	−	17.2129i	1.27410	−	0.613574i	0.330232	−	0.943900i	$-0.392873\pi$
$787$	35.7430	−	17.2129i	1.27410	−	0.613574i	0.943867	+	0.330326i	$0.107159\pi$
$788$	−4.30547	+	18.8635i	−0.153376	+	0.671984i
$789$	14.0027	−	6.74334i	0.498509	−	0.240069i
$790$	−6.02976	−	2.90378i	−0.214529	−	0.103312i
$791$	−4.98837	+	21.1873i	−0.177366	+	0.753333i
$792$	−16.6022	+	7.99522i	−0.589935	+	0.284098i
$793$	7.79644	−	9.77643i	0.276860	−	0.347171i
$794$	−5.63489	−	2.71362i	−0.199975	−	0.0963028i
$795$	27.5938	+	34.6015i	0.978651	+	1.22719i
$796$	−0.680903	−	2.98323i	−0.0241340	−	0.105738i
$797$	16.5304	+	20.7285i	0.585537	+	0.734241i	0.983046	−	0.183358i	$-0.0586967\pi$
$797$	16.5304	+	20.7285i	0.585537	+	0.734241i	−0.397509	+	0.917598i	$0.630125\pi$
$798$	15.6533	+	0.106928i	0.554120	+	0.00378521i
$799$	−6.06639	+	7.60701i	−0.214613	+	0.269117i
$800$	−22.9234	−	11.0393i	−0.810464	−	0.390299i
$801$	−7.22484	−	31.6541i	−0.255277	−	1.11844i
$802$	−9.14696			−0.322990
$803$	−45.1646			−1.59382
$804$	−4.16295	−	18.2391i	−0.146816	−	0.643242i
$805$	28.5770	+	36.3409i	1.00721	+	1.28085i
$806$	0.636784	−	2.78993i	0.0224298	−	0.0982712i
$807$	2.24037	−	9.81572i	0.0788649	−	0.345530i
$808$	13.2640	−	16.6325i	0.466626	−	0.585130i
$809$	−14.8361	+	18.6039i	−0.521611	+	0.654079i	−0.970950	−	0.239282i	$-0.923088\pi$
$809$	−14.8361	+	18.6039i	−0.521611	+	0.654079i	0.449339	+	0.893361i	$0.351659\pi$
$810$	−3.21647	+	14.0923i	−0.113015	+	0.495152i
$811$	7.82855	−	34.2991i	0.274898	−	1.20441i	−0.629256	−	0.777198i	$-0.716640\pi$
$811$	7.82855	−	34.2991i	0.274898	−	1.20441i	0.904154	−	0.427207i	$-0.140502\pi$
$812$	−26.7588	+	12.6619i	−0.939051	+	0.444347i
$813$	−16.1300	−	70.6700i	−0.565702	−	2.47850i
$814$	3.13247			0.109793
$815$	62.5456			2.19088
$816$	1.17853	+	5.16346i	0.0412567	+	0.180757i
$817$	5.11105	+	2.46135i	0.178813	+	0.0861119i
$818$	5.07176	−	6.35979i	0.177330	−	0.222365i
$819$	−5.48527	+	2.59556i	−0.191671	+	0.0906962i
$820$	−10.8748	−	13.6365i	−0.379763	−	0.476208i
$821$	−7.38406	−	32.3517i	−0.257705	−	1.12908i	−0.923698	−	0.383122i	$-0.874849\pi$
$821$	−7.38406	−	32.3517i	−0.257705	−	1.12908i	0.665992	−	0.745959i	$-0.268008\pi$
$822$	−3.07315	−	3.85360i	−0.107188	−	0.134410i
$823$	22.4686	+	10.8203i	0.783206	+	0.377172i	0.782359	−	0.622828i	$-0.214016\pi$
$823$	22.4686	+	10.8203i	0.783206	+	0.377172i	0.000846741		1.00000i	$0.499730\pi$
$824$	−1.96261	+	2.46104i	−0.0683708	+	0.0857343i
$825$	60.3390	−	29.0577i	2.10073	−	1.01166i
$826$	−3.53133	−	4.49073i	−0.122871	−	0.156253i
$827$	41.4775	+	19.9745i	1.44231	+	0.694581i	0.981242	−	0.192781i	$-0.0617508\pi$
$827$	41.4775	+	19.9745i	1.44231	+	0.694581i	0.461072	+	0.887363i	$0.347465\pi$
$828$	20.1244	−	9.69138i	0.699370	−	0.336799i
$829$	3.55881	−	15.5921i	0.123602	−	0.541538i	−0.874772	−	0.484535i	$-0.838989\pi$
$829$	3.55881	−	15.5921i	0.123602	−	0.541538i	0.998374	−	0.0570022i	$-0.0181542\pi$
$830$	12.0351	−	5.79579i	0.417744	−	0.201175i
$831$	−6.71389	−	8.41895i	−0.232902	−	0.292050i
$832$	4.15788			0.144149
$833$	4.81298	+	2.39935i	0.166760	+	0.0831327i
$834$	20.4921			0.709583
$835$	11.7271	+	14.7053i	0.405834	+	0.508899i
$836$	51.6041	−	24.8512i	1.78477	−	0.859498i
$837$	2.49367	−	10.9255i	0.0861939	−	0.377640i
$838$	−9.54605	+	4.59714i	−0.329763	+	0.158805i
$839$	−9.92628	−	4.78024i	−0.342693	−	0.165032i	0.254618	−	0.967042i	$-0.418050\pi$
$839$	−9.92628	−	4.78024i	−0.342693	−	0.165032i	−0.597312	+	0.802009i	$0.703764\pi$
$840$	6.84562	+	30.9662i	0.236196	+	1.06843i
$841$	−7.63587	+	3.67724i	−0.263306	+	0.126801i
$842$	4.52855	−	5.67862i	0.156064	−	0.195698i
$843$	45.1334	+	21.7351i	1.55448	+	0.748596i
$844$	−21.5267	−	26.9937i	−0.740981	−	0.929160i
$845$	0.729771	+	3.19734i	0.0251049	+	0.109992i
$846$	7.51626	+	9.42509i	0.258414	+	0.324041i
$847$	8.32508	+	37.6585i	0.286053	+	1.29396i
$848$	−10.9571	+	13.7398i	−0.376269	+	0.471827i
$849$	−31.9645	−	15.3933i	−1.09702	−	0.528297i
$850$	0.408349	+	1.78909i	0.0140062	+	0.0613653i
$851$	−7.95184			−0.272585
$852$	−8.07319			−0.276583
$853$	−3.43766	−	15.0614i	−0.117703	−	0.515692i	−0.999064	−	0.0432485i	$-0.986229\pi$
$853$	−3.43766	−	15.0614i	−0.117703	−	0.515692i	0.881361	−	0.472443i	$-0.156628\pi$
$854$	−3.14663	+	13.3648i	−0.107675	+	0.457334i
$855$	−10.3714	+	45.4401i	−0.354695	+	1.55402i
$856$	0.626364	−	2.74428i	0.0214087	−	0.0937975i
$857$	33.3180	−	41.7794i	1.13812	−	1.42716i	0.249581	−	0.968354i	$-0.419707\pi$
$857$	33.3180	−	41.7794i	1.13812	−	1.42716i	0.888538	−	0.458803i	$-0.151722\pi$
$858$	3.01089	−	3.77553i	0.102790	−	0.128895i
$859$	6.15312	−	26.9586i	0.209942	−	0.919814i	−0.754663	−	0.656113i	$-0.772199\pi$
$859$	6.15312	−	26.9586i	0.209942	−	0.919814i	0.964604	−	0.263701i	$-0.0849434\pi$
$860$	−1.22118	+	5.35034i	−0.0416419	+	0.182445i
$861$	−4.05927	+	17.2411i	−0.138340	+	0.587575i
$862$	0.292597	+	1.28195i	0.00996590	+	0.0436635i
$863$	−12.9724			−0.441584			−0.220792	−	0.975321i	$-0.570864\pi$
$863$	−12.9724			−0.441584			−0.220792	+	0.975321i	$0.570864\pi$
$864$	−7.18444			−0.244420
$865$	−10.0254	−	43.9240i	−0.340873	−	1.49346i
$866$	−12.4078	−	5.97526i	−0.421633	−	0.203048i
$867$	−23.5401	+	29.5184i	−0.799464	+	1.00250i
$868$	−7.19769	−	32.5587i	−0.244305	−	1.10512i
$869$	15.5049	+	19.4425i	0.525968	+	0.659543i
$870$	4.26577	+	18.6895i	0.144623	+	0.633635i
$871$	2.77372	+	3.47813i	0.0939839	+	0.117852i
$872$	12.9594	+	6.24090i	0.438859	+	0.211344i
$873$	21.0931	−	26.4500i	0.713895	−	0.895196i
$874$	12.3443	−	5.94472i	0.417554	−	0.201083i
$875$	−1.41507	−	6.40106i	−0.0478380	−	0.216395i
$876$	33.8359	+	16.2945i	1.14321	+	0.550541i
$877$	−4.23619	+	2.04004i	−0.143046	+	0.0688873i	−0.504037	−	0.863682i	$-0.668153\pi$
$877$	−4.23619	+	2.04004i	−0.143046	+	0.0688873i	0.360991	+	0.932569i	$0.382438\pi$
$878$	−1.21660	+	5.33029i	−0.0410584	+	0.179889i
$879$	23.7281	−	11.4269i	0.800330	−	0.385419i
$880$	30.9849	+	38.8538i	1.04450	+	1.30976i
$881$	−34.1524			−1.15062			−0.575311	−	0.817935i	$-0.695119\pi$
$881$	−34.1524			−1.15062			−0.575311	+	0.817935i	$0.695119\pi$
$882$	4.22522	−	5.15226i	0.142271	−	0.173486i
$883$	1.20694			0.0406167			0.0203083	−	0.999794i	$-0.493535\pi$
$883$	1.20694			0.0406167			0.0203083	+	0.999794i	$0.493535\pi$
$884$	−0.875514	−	1.09786i	−0.0294467	−	0.0369250i
$885$	35.3709	−	17.0337i	1.18898	−	0.572583i
$886$	−1.05207	+	4.60942i	−0.0353450	+	0.154857i
$887$	29.7819	−	14.3422i	0.999978	−	0.481564i	0.139047	−	0.990286i	$-0.455596\pi$
$887$	29.7819	−	14.3422i	0.999978	−	0.481564i	0.860931	+	0.508722i	$0.169882\pi$
$888$	−4.91465	−	2.36677i	−0.164925	−	0.0794236i
$889$	−9.45328	−	12.0216i	−0.317053	−	0.403191i
$890$	17.3589	−	8.35959i	0.581870	−	0.280214i
$891$	33.4878	−	41.9924i	1.12188	−	1.40680i
$892$	−9.65632	−	4.65024i	−0.323317	−	0.155702i
$893$	−48.9265	−	61.3519i	−1.63726	−	2.05306i
$894$	−2.38942	−	10.4688i	−0.0799143	−	0.350127i
$895$	−31.5479	−	39.5598i	−1.05453	−	1.32234i
$896$	−25.2708	+	11.9578i	−0.844240	+	0.399483i
$897$	−7.64319	+	9.58426i	−0.255199	+	0.320009i
$898$	−13.2833	−	6.39691i	−0.443270	−	0.213468i
$899$	−9.39295	−	41.1532i	−0.313273	−	1.37254i
$900$	−24.1284			−0.804280
$901$	4.50612			0.150121
$902$	−1.35898	−	5.95409i	−0.0452492	−	0.198250i
$903$	5.03761	−	2.38373i	0.167641	−	0.0793256i
$904$	−2.90817	+	12.7415i	−0.0967242	+	0.423776i
$905$	−13.4894	+	59.1010i	−0.448404	+	1.96458i
$906$	10.2078	−	12.8002i	0.339132	−	0.425258i
$907$	30.8828	−	38.7258i	1.02545	−	1.28587i	0.0678683	−	0.997694i	$-0.478380\pi$
$907$	30.8828	−	38.7258i	1.02545	−	1.28587i	0.957578	−	0.288175i	$-0.0930484\pi$
$908$	−8.37530	+	36.6946i	−0.277944	+	1.21775i
$909$	6.83490	−	29.9457i	0.226699	−	0.993235i
$910$	−2.22592	−	2.83067i	−0.0737885	−	0.0938357i
$911$	−1.11499	−	4.88511i	−0.0369414	−	0.161851i	0.953093	−	0.302678i	$-0.0978808\pi$
$911$	−1.11499	−	4.88511i	−0.0369414	−	0.161851i	−0.990034	+	0.140828i	$0.955024\pi$
$912$	−42.7152			−1.41444
$913$	−49.6350			−1.64268
$914$	2.66047	+	11.6563i	0.0880006	+	0.385556i
$915$	−85.0099	−	40.9386i	−2.81034	−	1.35339i
$916$	26.9396	−	33.7812i	0.890109	−	1.11616i
$917$	12.1918	+	0.0832827i	0.402610	+	0.00275024i
$918$	0.323083	+	0.405133i	0.0106633	+	0.0133714i
$919$	1.86482	+	8.17032i	0.0615148	+	0.269514i	0.996327	−	0.0856281i	$-0.0272897\pi$
$919$	1.86482	+	8.17032i	0.0615148	+	0.269514i	−0.934812	+	0.355142i	$0.884433\pi$
$920$	17.3070	+	21.7022i	0.570593	+	0.715501i
$921$	−30.8451	−	14.8542i	−1.01638	−	0.489463i
$922$	−4.18632	+	5.24948i	−0.137869	+	0.172883i
$923$	1.72965	−	0.832956i	0.0569321	−	0.0274171i
$924$	12.8956	−	54.7719i	0.424233	−	1.80186i
$925$	7.73915	+	3.72698i	0.254462	+	0.122542i
$926$	0.473428	−	0.227991i	0.0155578	−	0.00749225i
$927$	−1.01133	+	4.43092i	−0.0332164	+	0.145531i
$928$	−24.3818	+	11.7416i	−0.800371	+	0.385439i
$929$	11.2246	+	14.0752i	0.368266	+	0.461791i	0.931092	−	0.364784i	$-0.118857\pi$
$929$	11.2246	+	14.0752i	0.368266	+	0.461791i	−0.562826	+	0.826575i	$0.690286\pi$
$930$	−21.5930			−0.708064
$931$	−27.5038	+	33.5383i	−0.901400	+	1.09917i
$932$	−27.9258			−0.914739
$933$	18.6644	+	23.4044i	0.611045	+	0.766226i
$934$	0.521453	−	0.251119i	0.0170625	−	0.00821686i
$935$	2.83548	−	12.4231i	0.0927302	−	0.406278i
$936$	−3.28277	+	1.58090i	−0.107301	+	0.0516732i
$937$	44.5646	+	21.4612i	1.45586	+	0.701106i	0.983602	−	0.180354i	$-0.0577242\pi$
$937$	44.5646	+	21.4612i	1.45586	+	0.701106i	0.472260	+	0.881459i	$0.343438\pi$
$938$	−4.38644	−	2.14943i	−0.143222	−	0.0701815i
$939$	68.6810	−	33.0750i	2.24132	−	1.07936i
$940$	47.3317	−	59.3521i	1.54379	−	1.93585i
$941$	−12.2218	−	5.88571i	−0.398419	−	0.191869i	0.223935	−	0.974604i	$-0.428110\pi$
$941$	−12.2218	−	5.88571i	−0.398419	−	0.191869i	−0.622355	+	0.782735i	$0.713824\pi$
$942$	−3.56068	−	4.46496i	−0.116013	−	0.145476i
$943$	3.44980	+	15.1146i	0.112341	+	0.492198i
$944$	9.71967	+	12.1881i	0.316348	+	0.396688i
$945$	−8.71680	−	11.0850i	−0.283557	−	0.360596i
$946$	−1.19809	+	1.50236i	−0.0389534	+	0.0488460i
$947$	−6.48609	−	3.12354i	−0.210770	−	0.101501i	0.325521	−	0.945535i	$-0.394460\pi$
$947$	−6.48609	−	3.12354i	−0.210770	−	0.101501i	−0.536290	+	0.844034i	$0.680175\pi$
$948$	−4.60130	−	20.1596i	−0.149443	−	0.654754i
$949$	−8.93041			−0.289893
$950$	−14.8004			−0.480189
$951$	−2.46172	−	10.7855i	−0.0798267	−	0.349743i
$952$	2.89960	+	1.42086i	0.0939766	+	0.0460502i
$953$	9.02740	−	39.5516i	0.292426	−	1.28120i	−0.588712	−	0.808343i	$-0.700365\pi$
$953$	9.02740	−	39.5516i	0.292426	−	1.28120i	0.881138	−	0.472860i	$-0.156778\pi$
$954$	1.24235	−	5.44311i	0.0402227	−	0.176227i
$955$	26.4577	−	33.1769i	0.856151	−	1.07358i
$956$	−25.2018	+	31.6020i	−0.815083	+	1.02208i
$957$	15.8506	−	69.4461i	0.512378	−	2.24487i
$958$	−1.66520	+	7.29570i	−0.0538000	+	0.235713i
$959$	13.6570	+	0.0932911i	0.441007	+	0.00301253i
$960$	−6.98129	−	30.5870i	−0.225320	−	0.987192i
$961$	16.5465			0.533759
$962$	0.619385			0.0199698
$963$	−0.904363	−	3.96227i	−0.0291427	−	0.127683i
$964$	22.9531	+	11.0536i	0.739268	+	0.356013i
$965$	8.47944	−	10.6329i	0.272963	−	0.342285i
$966$	3.08478	−	13.1021i	0.0992511	−	0.421553i
$967$	10.7668	+	13.5011i	0.346235	+	0.434166i	0.924207	−	0.381891i	$-0.124727\pi$
$967$	10.7668	+	13.5011i	0.346235	+	0.434166i	−0.577972	+	0.816057i	$0.696156\pi$
$968$	5.15291	+	22.5764i	0.165621	+	0.725633i
$969$	6.82885	+	8.56311i	0.219374	+	0.275087i
$970$	18.0874	+	8.71043i	0.580751	+	0.279675i
$971$	14.4178	−	18.0794i	0.462689	−	0.580194i	−0.494675	−	0.869078i	$-0.664713\pi$
$971$	14.4178	−	18.0794i	0.462689	−	0.580194i	0.957364	+	0.288884i	$0.0932842\pi$
$972$	−32.2091	+	15.5111i	−1.03311	+	0.497519i
$973$	−35.7043	+	44.1497i	−1.14463	+	1.41537i
$974$	7.04434	+	3.39237i	0.225715	+	0.108699i
$975$	11.9309	−	5.74560i	0.382093	−	0.184006i
$976$	8.33712	−	36.5273i	0.266865	−	1.16921i
$977$	5.65567	−	2.72363i	0.180941	−	0.0871366i	−0.341220	−	0.939983i	$-0.610840\pi$
$977$	5.65567	−	2.72363i	0.180941	−	0.0871366i	0.522161	+	0.852847i	$0.325126\pi$
$978$	−11.3540	−	14.2375i	−0.363061	−	0.455264i
$979$	−71.5914			−2.28807
$980$	−37.5523	−	18.7205i	−1.19956	−	0.598003i
$981$	20.7678			0.663064
$982$	8.36816	+	10.4933i	0.267039	+	0.334856i
$983$	−23.9605	+	11.5388i	−0.764221	+	0.368029i	−0.775040	−	0.631912i	$-0.782270\pi$
$983$	−23.9605	+	11.5388i	−0.764221	+	0.368029i	0.0108194	+	0.999941i	$0.496556\pi$
$984$	−2.36651	+	10.3684i	−0.0754417	+	0.330532i
$985$	−31.2792	+	15.0633i	−0.996637	+	0.479955i
$986$	1.75856	+	0.846877i	0.0560039	+	0.0269701i
$987$	−77.0908	−	0.526609i	−2.45383	−	0.0167622i
$988$	10.2037	−	4.91384i	0.324623	−	0.156330i
$989$	3.04138	−	3.81377i	0.0967103	−	0.121271i
$990$	−14.2245	−	6.85016i	−0.452085	−	0.217713i
$991$	13.9280	+	17.4652i	0.442438	+	0.554800i	0.952184	−	0.305525i	$-0.0988320\pi$
$991$	13.9280	+	17.4652i	0.442438	+	0.554800i	−0.509746	+	0.860325i	$0.670261\pi$
$992$	−6.78288	−	29.7177i	−0.215357	−	0.943539i
$993$	4.34196	+	5.44464i	0.137788	+	0.172781i
$994$	−1.32551	+	1.63904i	−0.0420426	+	0.0519872i
$995$	3.42326	−	4.29263i	0.108525	−	0.136086i
$996$	37.1850	+	17.9074i	1.17825	+	0.567417i
$997$	2.82639	+	12.3832i	0.0895127	+	0.392181i	0.999761	−	0.0218830i	$-0.00696613\pi$
$997$	2.82639	+	12.3832i	0.0895127	+	0.392181i	−0.910248	+	0.414064i	$0.864109\pi$
$998$	−2.76299			−0.0874609
$999$	2.42554			0.0767406

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	637.2.w.a.547.17	yes	162
49.43	even	7	inner	637.2.w.a.92.17	✓	162

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
637.2.w.a.92.17	✓	162	49.43	even	7	inner
637.2.w.a.547.17	yes	162	1.1	even	1	trivial

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:	\( N \)	\(=\)	\( 637 = 7^{2} \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	637.w (of order \(7\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(0.258756 + 0.324470i) q^{2} +(-2.07294 + 0.998275i) q^{3} +(0.406716 - 1.78194i) q^{4} +(2.95478 - 1.42295i) q^{5} +(-0.860297 - 0.414297i) q^{6} +(2.39153 - 1.13164i) q^{7} +(1.43125 - 0.689256i) q^{8} +(1.43005 - 1.79323i) q^{9} +O(q^{10})\)	\(q+(0.258756 + 0.324470i) q^{2} +(-2.07294 + 0.998275i) q^{3} +(0.406716 - 1.78194i) q^{4} +(2.95478 - 1.42295i) q^{5} +(-0.860297 - 0.414297i) q^{6} +(2.39153 - 1.13164i) q^{7} +(1.43125 - 0.689256i) q^{8} +(1.43005 - 1.79323i) q^{9} +(1.22627 + 0.590542i) q^{10} +(-3.15323 - 3.95403i) q^{11} +(0.935767 + 4.09986i) q^{12} +(-0.623490 - 0.781831i) q^{13} +(0.986006 + 0.483160i) q^{14} +(-4.70459 + 5.89937i) q^{15} +(-2.69953 - 1.30002i) q^{16} +(0.170956 + 0.749007i) q^{17} +0.951886 q^{18} -6.19624 q^{19} +(-1.33385 - 5.84398i) q^{20} +(-3.82780 + 4.73322i) q^{21} +(0.467046 - 2.04626i) q^{22} +(-1.18560 + 5.19447i) q^{23} +(-2.27884 + 2.85757i) q^{24} +(3.58851 - 4.49985i) q^{25} +(0.0923491 - 0.404608i) q^{26} +(0.361643 - 1.58446i) q^{27} +(-1.04384 - 4.72181i) q^{28} +(-1.36221 - 5.96821i) q^{29} -3.13151 q^{30} +6.89540 q^{31} +(-0.983682 - 4.30979i) q^{32} +(10.4837 + 5.04867i) q^{33} +(-0.198795 + 0.249281i) q^{34} +(5.45617 - 6.74676i) q^{35} +(-2.61380 - 3.27761i) q^{36} +(0.332101 + 1.45503i) q^{37} +(-1.60332 - 2.01049i) q^{38} +(2.07294 + 0.998275i) q^{39} +(3.24827 - 4.07320i) q^{40} +(2.62159 - 1.26249i) q^{41} +(-2.52626 - 0.0172569i) q^{42} +(-0.824865 - 0.397234i) q^{43} +(-8.32831 + 4.01070i) q^{44} +(1.67382 - 7.33351i) q^{45} +(-1.99223 + 0.959409i) q^{46} +(7.89617 + 9.90148i) q^{47} +6.89374 q^{48} +(4.43879 - 5.41269i) q^{49} +2.38862 q^{50} +(-1.10210 - 1.38199i) q^{51} +(-1.64676 + 0.793037i) q^{52} +(1.30515 - 5.71823i) q^{53} +(0.607688 - 0.292647i) q^{54} +(-14.9435 - 7.19641i) q^{55} +(2.64289 - 3.26803i) q^{56} +(12.8444 - 6.18555i) q^{57} +(1.58403 - 1.98631i) q^{58} +(-4.68764 - 2.25745i) q^{59} +(8.59888 + 10.7827i) q^{60} +(2.78252 + 12.1910i) q^{61} +(1.78423 + 2.23735i) q^{62} +(1.39072 - 5.90687i) q^{63} +(-2.59240 + 3.25076i) q^{64} +(-2.95478 - 1.42295i) q^{65} +(1.07457 + 4.70801i) q^{66} -4.44870 q^{67} +1.40422 q^{68} +(-2.72782 - 11.9514i) q^{69} +(3.60094 + 0.0245981i) q^{70} +(-0.427188 + 1.87163i) q^{71} +(0.810776 - 3.55224i) q^{72} +(5.56802 - 6.98207i) q^{73} +(-0.386180 + 0.484255i) q^{74} +(-2.94668 + 12.9102i) q^{75} +(-2.52011 + 11.0413i) q^{76} +(-12.0156 - 5.88784i) q^{77} +(0.212476 + 0.930917i) q^{78} -4.91714 q^{79} -9.82639 q^{80} +(2.36321 + 10.3539i) q^{81} +(1.08799 + 0.523950i) q^{82} +(6.11915 - 7.67317i) q^{83} +(6.87748 + 8.74598i) q^{84} +(1.57094 + 1.96989i) q^{85} +(-0.0845484 - 0.370431i) q^{86} +(8.78169 + 11.0119i) q^{87} +(-7.23841 - 3.48584i) q^{88} +(8.82599 - 11.0674i) q^{89} +(2.81262 - 1.35449i) q^{90} +(-2.37584 - 1.16420i) q^{91} +(8.77402 + 4.22534i) q^{92} +(-14.2937 + 6.88350i) q^{93} +(-1.16955 + 5.12414i) q^{94} +(-18.3085 + 8.81692i) q^{95} +(6.34147 + 7.95195i) q^{96} +14.7499 q^{97} +(2.90482 + 0.0396876i) q^{98} -11.5998 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 162 q + 3 q^{2} - 25 q^{4} - 4 q^{5} + 18 q^{6} - 15 q^{7} + 3 q^{8} - 5 q^{9}+O(q^{10}) \) 162 * q + 3 * q^2 - 25 * q^4 - 4 * q^5 + 18 * q^6 - 15 * q^7 + 3 * q^8 - 5 * q^9	\( 162 q + 3 q^{2} - 25 q^{4} - 4 q^{5} + 18 q^{6} - 15 q^{7} + 3 q^{8} - 5 q^{9} - 10 q^{10} + 15 q^{11} + 25 q^{12} + 27 q^{13} + 33 q^{14} + 18 q^{15} - 5 q^{16} + 3 q^{17} - 64 q^{18} + 24 q^{19} - 47 q^{20} + 24 q^{22} + 27 q^{23} - 8 q^{24} - 35 q^{25} - 3 q^{26} + 15 q^{27} + 2 q^{28} + 46 q^{29} - 30 q^{30} + 46 q^{31} + 16 q^{32} - 18 q^{33} - 62 q^{34} - 51 q^{35} + 39 q^{36} + 16 q^{37} - 54 q^{38} + 74 q^{40} - 2 q^{41} + 88 q^{42} + 14 q^{43} - 95 q^{44} + 83 q^{45} + 56 q^{46} - 4 q^{47} - 20 q^{48} - 3 q^{49} - 216 q^{50} - 56 q^{51} + 25 q^{52} + 38 q^{53} - 6 q^{54} + 73 q^{55} - 35 q^{56} + 41 q^{57} + 72 q^{58} - 44 q^{59} + 24 q^{60} - 6 q^{61} - 36 q^{62} - q^{63} - 11 q^{64} + 4 q^{65} + 95 q^{66} - 126 q^{67} - 382 q^{68} - 108 q^{69} - 47 q^{70} + 51 q^{71} + 130 q^{72} + 14 q^{73} - 26 q^{74} + 3 q^{75} + 75 q^{76} - 6 q^{77} + 31 q^{78} - 58 q^{79} + 110 q^{80} - 5 q^{81} - 90 q^{82} - 35 q^{83} + 21 q^{84} + 18 q^{85} + 76 q^{86} - 100 q^{87} + 6 q^{88} + 32 q^{89} + 13 q^{90} + q^{91} + 46 q^{92} + 19 q^{93} + 72 q^{94} + 38 q^{95} + 95 q^{96} + 6 q^{97} - 299 q^{98} - 334 q^{99}+O(q^{100}) \) 162 * q + 3 * q^2 - 25 * q^4 - 4 * q^5 + 18 * q^6 - 15 * q^7 + 3 * q^8 - 5 * q^9 - 10 * q^10 + 15 * q^11 + 25 * q^12 + 27 * q^13 + 33 * q^14 + 18 * q^15 - 5 * q^16 + 3 * q^17 - 64 * q^18 + 24 * q^19 - 47 * q^20 + 24 * q^22 + 27 * q^23 - 8 * q^24 - 35 * q^25 - 3 * q^26 + 15 * q^27 + 2 * q^28 + 46 * q^29 - 30 * q^30 + 46 * q^31 + 16 * q^32 - 18 * q^33 - 62 * q^34 - 51 * q^35 + 39 * q^36 + 16 * q^37 - 54 * q^38 + 74 * q^40 - 2 * q^41 + 88 * q^42 + 14 * q^43 - 95 * q^44 + 83 * q^45 + 56 * q^46 - 4 * q^47 - 20 * q^48 - 3 * q^49 - 216 * q^50 - 56 * q^51 + 25 * q^52 + 38 * q^53 - 6 * q^54 + 73 * q^55 - 35 * q^56 + 41 * q^57 + 72 * q^58 - 44 * q^59 + 24 * q^60 - 6 * q^61 - 36 * q^62 - q^63 - 11 * q^64 + 4 * q^65 + 95 * q^66 - 126 * q^67 - 382 * q^68 - 108 * q^69 - 47 * q^70 + 51 * q^71 + 130 * q^72 + 14 * q^73 - 26 * q^74 + 3 * q^75 + 75 * q^76 - 6 * q^77 + 31 * q^78 - 58 * q^79 + 110 * q^80 - 5 * q^81 - 90 * q^82 - 35 * q^83 + 21 * q^84 + 18 * q^85 + 76 * q^86 - 100 * q^87 + 6 * q^88 + 32 * q^89 + 13 * q^90 + q^91 + 46 * q^92 + 19 * q^93 + 72 * q^94 + 38 * q^95 + 95 * q^96 + 6 * q^97 - 299 * q^98 - 334 * q^99

Introduction

L-functions

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