LMFDB - Embedded newform 637.2.w.a.92.7

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			92.7
Character	$\chi$	$=$	637.92
Dual form			637.2.w.a.547.7

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.928616 + 1.16445i) q^{2} +(-1.16240 - 0.559785i) q^{3} +(-0.0485689 - 0.212794i) q^{4} +(-2.30199 - 1.10858i) q^{5} +(1.73127 - 0.833735i) q^{6} +(-2.33750 - 1.23939i) q^{7} +(-2.39089 - 1.15139i) q^{8} +(-0.832643 - 1.04410i) q^{9} +O(q^{10})$	\(q+(-0.928616 + 1.16445i) q^{2} +(-1.16240 - 0.559785i) q^{3} +(-0.0485689 - 0.212794i) q^{4} +(-2.30199 - 1.10858i) q^{5} +(1.73127 - 0.833735i) q^{6} +(-2.33750 - 1.23939i) q^{7} +(-2.39089 - 1.15139i) q^{8} +(-0.832643 - 1.04410i) q^{9} +(3.42855 - 1.65110i) q^{10} +(-0.536876 + 0.673221i) q^{11} +(-0.0626623 + 0.274541i) q^{12} +(-0.623490 + 0.781831i) q^{13} +(3.61384 - 1.57099i) q^{14} +(2.05528 + 2.57724i) q^{15} +(3.95426 - 1.90427i) q^{16} +(-1.28723 + 5.63971i) q^{17} +1.98901 q^{18} +7.25746 q^{19} +(-0.124094 + 0.543693i) q^{20} +(2.02334 + 2.74917i) q^{21} +(-0.285379 - 1.25033i) q^{22} +(0.482072 + 2.11210i) q^{23} +(2.13465 + 2.67677i) q^{24} +(0.952757 + 1.19472i) q^{25} +(-0.331419 - 1.45204i) q^{26} +(1.24467 + 5.45324i) q^{27} +(-0.150204 + 0.557603i) q^{28} +(1.10470 - 4.84001i) q^{29} -4.90962 q^{30} -2.23145 q^{31} +(-0.273562 + 1.19856i) q^{32} +(1.00093 - 0.482021i) q^{33} +(-5.37181 - 6.73604i) q^{34} +(4.00695 + 5.44436i) q^{35} +(-0.181738 + 0.227893i) q^{36} +(1.04907 - 4.59629i) q^{37} +(-6.73940 + 8.45094i) q^{38} +(1.16240 - 0.559785i) q^{39} +(4.22739 + 5.30098i) q^{40} +(4.74261 + 2.28392i) q^{41} +(-5.08016 - 0.196850i) q^{42} +(5.05159 - 2.43272i) q^{43} +(0.169333 + 0.0815466i) q^{44} +(0.759266 + 3.32656i) q^{45} +(-2.90708 - 1.39998i) q^{46} +(-0.702082 + 0.880383i) q^{47} -5.66243 q^{48} +(3.92785 + 5.79414i) q^{49} -2.27594 q^{50} +(4.65331 - 5.83506i) q^{51} +(0.196652 + 0.0947024i) q^{52} +(2.16346 + 9.47872i) q^{53} +(-7.50584 - 3.61462i) q^{54} +(1.98220 - 0.954579i) q^{55} +(4.16169 + 5.65461i) q^{56} +(-8.43611 - 4.06262i) q^{57} +(4.61010 + 5.78088i) q^{58} +(-7.61188 + 3.66569i) q^{59} +(0.448599 - 0.562525i) q^{60} +(0.930384 - 4.07628i) q^{61} +(2.07216 - 2.59841i) q^{62} +(0.652262 + 3.47256i) q^{63} +(4.33124 + 5.43120i) q^{64} +(2.30199 - 1.10858i) q^{65} +(-0.368188 + 1.61314i) q^{66} -12.9442 q^{67} +1.26262 q^{68} +(0.621956 - 2.72497i) q^{69} +(-10.0606 - 0.389836i) q^{70} +(-3.53357 - 15.4816i) q^{71} +(0.788588 + 3.45503i) q^{72} +(9.21311 + 11.5529i) q^{73} +(4.37796 + 5.48978i) q^{74} +(-0.438704 - 1.92209i) q^{75} +(-0.352487 - 1.54435i) q^{76} +(2.08933 - 0.908261i) q^{77} +(-0.427588 + 1.87338i) q^{78} +14.7082 q^{79} -11.2137 q^{80} +(0.714334 - 3.12970i) q^{81} +(-7.06358 + 3.40164i) q^{82} +(3.23728 + 4.05943i) q^{83} +(0.486736 - 0.564079i) q^{84} +(9.21526 - 11.5556i) q^{85} +(-1.85822 + 8.14138i) q^{86} +(-3.99347 + 5.00766i) q^{87} +(2.05875 - 0.991443i) q^{88} +(-6.25029 - 7.83762i) q^{89} +(-4.57868 - 2.20497i) q^{90} +(2.42640 - 1.05479i) q^{91} +(0.426028 - 0.205164i) q^{92} +(2.59385 + 1.24913i) q^{93} +(-0.373195 - 1.63508i) q^{94} +(-16.7066 - 8.04547i) q^{95} +(0.988923 - 1.24007i) q^{96} +0.682224 q^{97} +(-10.3944 - 0.806756i) q^{98} +1.14994 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 $\left(\mathbb{Z}/637\mathbb{Z}\right)^\times$.

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

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 $

$2$	−0.928616	+	1.16445i	−0.656631	+	0.823389i	−0.992972	−	0.118351i	$-0.962239\pi$
$2$	−0.928616	+	1.16445i	−0.656631	+	0.823389i	0.336341	+	0.941740i	$0.390811\pi$
$3$	−1.16240	−	0.559785i	−0.671115	−	0.323192i	0.0671111	−	0.997746i	$-0.478622\pi$
$3$	−1.16240	−	0.559785i	−0.671115	−	0.323192i	−0.738226	+	0.674554i	$0.764336\pi$
$4$	−0.0485689	−	0.212794i	−0.0242845	−	0.106397i
$5$	−2.30199	−	1.10858i	−1.02948	−	0.495772i	−0.158640	−	0.987337i	$-0.550711\pi$
$5$	−2.30199	−	1.10858i	−1.02948	−	0.495772i	−0.870841	+	0.491565i	$0.836425\pi$
$6$	1.73127	−	0.833735i	0.706787	−	0.340371i
$7$	−2.33750	−	1.23939i	−0.883493	−	0.468444i
$7$	−2.33750	−	1.23939i	−0.883493	−	0.468444i
$8$	−2.39089	−	1.15139i	−0.845307	−	0.407078i
$9$	−0.832643	−	1.04410i	−0.277548	−	0.348034i
$10$	3.42855	−	1.65110i	1.08420	−	0.522124i
$11$	−0.536876	+	0.673221i	−0.161874	+	0.202984i	−0.856153	−	0.516722i	$-0.827152\pi$
$11$	−0.536876	+	0.673221i	−0.161874	+	0.202984i	0.694279	+	0.719706i	$0.255723\pi$
$12$	−0.0626623	+	0.274541i	−0.0180890	+	0.0792533i
$13$	−0.623490	+	0.781831i	−0.172925	+	0.216841i
$13$	−0.623490	+	0.781831i	−0.172925	+	0.216841i
$14$	3.61384	−	1.57099i	0.965840	−	0.419864i
$15$	2.05528	+	2.57724i	0.530670	+	0.665440i
$16$	3.95426	−	1.90427i	0.988564	−	0.476067i
$17$	−1.28723	+	5.63971i	−0.312199	+	1.36783i	0.538698	+	0.842499i	$0.318916\pi$
$17$	−1.28723	+	5.63971i	−0.312199	+	1.36783i	−0.850897	+	0.525333i	$0.823941\pi$
$18$	1.98901			0.468814
$19$	7.25746			1.66498			0.832488	−	0.554043i	$-0.186916\pi$
$19$	7.25746			1.66498			0.832488	+	0.554043i	$0.186916\pi$
$20$	−0.124094	+	0.543693i	−0.0277483	+	0.121573i
$21$	2.02334	+	2.74917i	0.441528	+	0.599917i
$22$	−0.285379	−	1.25033i	−0.0608431	−	0.266571i
$23$	0.482072	+	2.11210i	0.100519	+	0.440402i	0.999994	+	0.00343044i	$0.00109194\pi$
$23$	0.482072	+	2.11210i	0.100519	+	0.440402i	−0.899475	+	0.436972i	$0.856051\pi$
$24$	2.13465	+	2.67677i	0.435733	+	0.546392i
$25$	0.952757	+	1.19472i	0.190551	+	0.238944i
$26$	−0.331419	−	1.45204i	−0.0649967	−	0.284769i
$27$	1.24467	+	5.45324i	0.239536	+	1.04948i
$28$	−0.150204	+	0.557603i	−0.0283859	+	0.105377i
$29$	1.10470	−	4.84001i	0.205138	−	0.898767i	−0.762613	−	0.646856i	$-0.776084\pi$
$29$	1.10470	−	4.84001i	0.205138	−	0.898767i	0.967750	−	0.251912i	$-0.0810592\pi$
$30$	−4.90962			−0.896370
$31$	−2.23145			−0.400781			−0.200390	−	0.979716i	$-0.564221\pi$
$31$	−2.23145			−0.400781			−0.200390	+	0.979716i	$0.564221\pi$
$32$	−0.273562	+	1.19856i	−0.0483595	+	0.211877i
$33$	1.00093	−	0.482021i	0.174239	−	0.0839090i
$34$	−5.37181	−	6.73604i	−0.921258	−	1.15522i
$35$	4.00695	+	5.44436i	0.677298	+	0.920265i
$36$	−0.181738	+	0.227893i	−0.0302897	+	0.0379821i
$37$	1.04907	−	4.59629i	0.172467	−	0.755626i	−0.812511	−	0.582946i	$-0.801900\pi$
$37$	1.04907	−	4.59629i	0.172467	−	0.755626i	0.984978	−	0.172680i	$-0.0552428\pi$
$38$	−6.73940	+	8.45094i	−1.09327	+	1.37092i
$39$	1.16240	−	0.559785i	0.186134	−	0.0896373i
$40$	4.22739	+	5.30098i	0.668409	+	0.838159i
$41$	4.74261	+	2.28392i	0.740672	+	0.356689i	0.765872	−	0.642994i	$-0.222308\pi$
$41$	4.74261	+	2.28392i	0.740672	+	0.356689i	−0.0251996	+	0.999682i	$0.508022\pi$
$42$	−5.08016	−	0.196850i	−0.783886	−	0.0303747i
$43$	5.05159	−	2.43272i	0.770360	−	0.370986i	−0.00705373	−	0.999975i	$-0.502245\pi$
$43$	5.05159	−	2.43272i	0.770360	−	0.370986i	0.777414	+	0.628989i	$0.216531\pi$
$44$	0.169333	+	0.0815466i	0.0255280	+	0.0122936i
$45$	0.759266	+	3.32656i	0.113185	+	0.495895i
$46$	−2.90708	−	1.39998i	−0.428626	−	0.206416i
$47$	−0.702082	+	0.880383i	−0.102409	+	0.128417i	−0.830395	−	0.557175i	$-0.811885\pi$
$47$	−0.702082	+	0.880383i	−0.102409	+	0.128417i	0.727986	+	0.685592i	$0.240457\pi$
$48$	−5.66243			−0.817301
$49$	3.92785	+	5.79414i	0.561121	+	0.827734i
$50$	−2.27594			−0.321866
$51$	4.65331	−	5.83506i	0.651593	−	0.817072i
$52$	0.196652	+	0.0947024i	0.0272707	+	0.0131329i
$53$	2.16346	+	9.47872i	0.297173	+	1.30200i	0.874315	+	0.485358i	$0.161311\pi$
$53$	2.16346	+	9.47872i	0.297173	+	1.30200i	−0.577142	+	0.816644i	$0.695832\pi$
$54$	−7.50584	−	3.61462i	−1.02141	−	0.491888i
$55$	1.98220	−	0.954579i	0.267280	−	0.128715i
$56$	4.16169	+	5.65461i	0.556130	+	0.755630i
$57$	−8.43611	−	4.06262i	−1.11739	−	0.538107i
$58$	4.61010	+	5.78088i	0.605335	+	0.759066i
$59$	−7.61188	+	3.66569i	−0.990983	+	0.477232i	−0.857869	−	0.513869i	$-0.828212\pi$
$59$	−7.61188	+	3.66569i	−0.990983	+	0.477232i	−0.133114	+	0.991101i	$0.542498\pi$
$60$	0.448599	−	0.562525i	0.0579139	−	0.0726217i
$61$	0.930384	−	4.07628i	0.119123	−	0.521914i	−0.879792	−	0.475358i	$-0.842318\pi$
$61$	0.930384	−	4.07628i	0.119123	−	0.521914i	0.998916	−	0.0465556i	$-0.0148245\pi$
$62$	2.07216	−	2.59841i	0.263165	−	0.329998i
$63$	0.652262	+	3.47256i	0.0821773	+	0.437501i
$64$	4.33124	+	5.43120i	0.541405	+	0.678900i
$65$	2.30199	−	1.10858i	0.285527	−	0.137502i
$66$	−0.368188	+	1.61314i	−0.0453209	+	0.198564i
$67$	−12.9442			−1.58139			−0.790695	−	0.612210i	$-0.790281\pi$
$67$	−12.9442			−1.58139			−0.790695	+	0.612210i	$0.790281\pi$
$68$	1.26262			0.153115
$69$	0.621956	−	2.72497i	0.0748747	−	0.328047i
$70$	−10.0606	−	0.389836i	−1.20247	−	0.0465944i
$71$	−3.53357	−	15.4816i	−0.419358	−	1.83733i	−0.536087	−	0.844163i	$-0.680098\pi$
$71$	−3.53357	−	15.4816i	−0.419358	−	1.83733i	0.116730	−	0.993164i	$-0.462759\pi$
$72$	0.788588	+	3.45503i	0.0929360	+	0.407179i
$73$	9.21311	+	11.5529i	1.07831	+	1.35216i	0.931808	+	0.362952i	$0.118231\pi$
$73$	9.21311	+	11.5529i	1.07831	+	1.35216i	0.146506	+	0.989210i	$0.453197\pi$
$74$	4.37796	+	5.48978i	0.508927	+	0.638175i
$75$	−0.438704	−	1.92209i	−0.0506572	−	0.221944i
$76$	−0.352487	−	1.54435i	−0.0404331	−	0.177149i
$77$	2.08933	−	0.908261i	0.238101	−	0.103506i
$78$	−0.427588	+	1.87338i	−0.0484148	+	0.212119i
$79$	14.7082			1.65480			0.827400	−	0.561613i	$-0.189819\pi$
$79$	14.7082			1.65480			0.827400	+	0.561613i	$0.189819\pi$
$80$	−11.2137			−1.25373
$81$	0.714334	−	3.12970i	0.0793704	−	0.347745i
$82$	−7.06358	+	3.40164i	−0.780042	+	0.375648i
$83$	3.23728	+	4.05943i	0.355338	+	0.445580i	0.927086	−	0.374850i	$-0.122306\pi$
$83$	3.23728	+	4.05943i	0.355338	+	0.445580i	−0.571747	+	0.820430i	$0.693734\pi$
$84$	0.486736	−	0.564079i	0.0531072	−	0.0615460i
$85$	9.21526	−	11.5556i	0.999535	−	1.25338i
$86$	−1.85822	+	8.14138i	−0.200377	+	0.877907i
$87$	−3.99347	+	5.00766i	−0.428145	+	0.536877i
$88$	2.05875	−	0.991443i	0.219464	−	0.105688i
$89$	−6.25029	−	7.83762i	−0.662530	−	0.830786i	0.331086	−	0.943601i	$-0.392585\pi$
$89$	−6.25029	−	7.83762i	−0.662530	−	0.830786i	−0.993616	+	0.112814i	$0.964013\pi$
$90$	−4.57868	−	2.20497i	−0.482635	−	0.232425i
$91$	2.42640	−	1.05479i	0.254356	−	0.110572i
$92$	0.426028	−	0.205164i	0.0444165	−	0.0213899i
$93$	2.59385	+	1.24913i	0.268970	+	0.129529i
$94$	−0.373195	−	1.63508i	−0.0384922	−	0.168645i
$95$	−16.7066	−	8.04547i	−1.71406	−	0.825448i
$96$	0.988923	−	1.24007i	0.100932	−	0.126564i
$97$	0.682224			0.0692693			0.0346347	−	0.999400i	$-0.488973\pi$
$97$	0.682224			0.0692693			0.0346347	+	0.999400i	$0.488973\pi$
$98$	−10.3944	−	0.806756i	−1.05000	−	0.0814946i
$99$	1.14994			0.115573
$100$	0.207955	−	0.260768i	0.0207955	−	0.0260768i
$101$	6.33544	+	3.05099i	0.630400	+	0.303584i	0.721665	−	0.692242i	$-0.243377\pi$
$101$	6.33544	+	3.05099i	0.630400	+	0.303584i	−0.0912657	+	0.995827i	$0.529091\pi$
$102$	2.47349	+	10.8371i	0.244912	+	1.07303i
$103$	−7.23487	−	3.48413i	−0.712873	−	0.343301i	0.0420496	−	0.999116i	$-0.486611\pi$
$103$	−7.23487	−	3.48413i	−0.712873	−	0.343301i	−0.754922	+	0.655814i	$0.772326\pi$
$104$	2.39089	−	1.15139i	0.234446	−	0.112903i
$105$	−1.61003	−	8.57158i	−0.157123	−	0.836501i
$106$	−13.0465	−	6.28286i	−1.26719	−	0.610245i
$107$	4.23516	+	5.31072i	0.409428	+	0.513407i	0.943202	−	0.332221i	$-0.107798\pi$
$107$	4.23516	+	5.31072i	0.409428	+	0.513407i	−0.533773	+	0.845628i	$0.679226\pi$
$108$	1.09997	−	0.529717i	0.105844	−	0.0509720i
$109$	7.21787	−	9.05093i	0.691347	−	0.866922i	−0.304997	−	0.952353i	$-0.598655\pi$
$109$	7.21787	−	9.05093i	0.691347	−	0.866922i	0.996344	+	0.0854316i	$0.0272269\pi$
$110$	−0.729149	+	3.19461i	−0.0695216	+	0.304594i
$111$	−3.79238	+	4.75550i	−0.359957	+	0.451372i
$112$	−11.6032	−	0.449611i	−1.09640	−	0.0424842i
$113$	3.13419	+	3.93015i	0.294840	+	0.369718i	0.907083	−	0.420952i	$-0.138304\pi$
$113$	3.13419	+	3.93015i	0.294840	+	0.369718i	−0.612243	+	0.790670i	$0.709733\pi$
$114$	12.5646	−	6.05080i	1.17678	−	0.566709i
$115$	1.23170	−	5.39644i	0.114857	−	0.503220i
$116$	−1.08358			−0.100608
$117$	1.33546			0.123463
$118$	2.80001	−	12.2677i	0.257762	−	1.12933i
$119$	9.99868	−	11.5875i	0.916578	−	1.06222i
$120$	−1.94653	−	8.52831i	−0.177693	−	0.778525i
$121$	2.28274	+	10.0013i	0.207522	+	0.909212i
$122$	3.88264	+	4.86868i	0.351518	+	0.440790i
$123$	−4.23433	−	5.30969i	−0.381797	−	0.478758i
$124$	0.108379	+	0.474841i	0.00973275	+	0.0426419i
$125$	1.97393	+	8.64834i	0.176553	+	0.773531i
$126$	−4.64931	−	2.46515i	−0.414194	−	0.219613i
$127$	0.245398	−	1.07516i	0.0217756	−	0.0954051i	−0.962872	−	0.269957i	$-0.912991\pi$
$127$	0.245398	−	1.07516i	0.0217756	−	0.0954051i	0.984648	+	0.174552i	$0.0558477\pi$
$128$	−12.8052			−1.13183
$129$	−7.23379			−0.636900
$130$	−0.846781	+	3.70999i	−0.0742676	+	0.325388i
$131$	−6.80348	+	3.27638i	−0.594422	+	0.286259i	−0.706807	−	0.707406i	$-0.749865\pi$
$131$	−6.80348	+	3.27638i	−0.594422	+	0.286259i	0.112385	+	0.993665i	$0.464151\pi$
$132$	−0.151185	−	0.189580i	−0.0131590	−	0.0165009i
$133$	−16.9643	−	8.99479i	−1.47100	−	0.779947i
$134$	12.0202	−	15.0729i	1.03839	−	1.30210i
$135$	3.18014	−	13.9331i	0.273703	−	1.19917i
$136$	9.57114	−	12.0018i	0.820718	−	1.02915i
$137$	11.5185	−	5.54702i	0.984092	−	0.473913i	0.128581	−	0.991699i	$-0.458958\pi$
$137$	11.5185	−	5.54702i	0.984092	−	0.473913i	0.855510	+	0.517786i	$0.173243\pi$
$138$	2.59552	+	3.25468i	0.220946	+	0.277057i
$139$	−8.63424	−	4.15803i	−0.732347	−	0.352680i	0.0302600	−	0.999542i	$-0.490366\pi$
$139$	−8.63424	−	4.15803i	−0.732347	−	0.352680i	−0.762607	+	0.646863i	$0.776081\pi$
$140$	0.963916	−	1.11708i	0.0814658	−	0.0944108i
$141$	1.30893	−	0.630347i	0.110232	−	0.0530848i
$142$	21.3088	+	10.2618i	1.78820	+	0.861151i
$143$	−0.191609	−	0.839493i	−0.0160231	−	0.0702020i
$144$	−5.28074	−	2.54307i	−0.440061	−	0.211922i
$145$	−7.90854	+	9.91700i	−0.656769	+	0.823562i
$146$	−22.0082			−1.82141
$147$	−1.32228	−	8.93388i	−0.109060	−	0.736854i
$148$	−1.02902			−0.0845848
$149$	−0.0793436	+	0.0994937i	−0.00650008	+	0.00815084i	−0.785071	−	0.619406i	$-0.787374\pi$
$149$	−0.0793436	+	0.0994937i	−0.00650008	+	0.00815084i	0.778571	+	0.627557i	$0.215945\pi$
$150$	2.64556	+	1.27403i	0.216009	+	0.104024i
$151$	0.851589	+	3.73106i	0.0693013	+	0.303629i	0.997686	−	0.0679920i	$-0.0216592\pi$
$151$	0.851589	+	3.73106i	0.0693013	+	0.303629i	−0.928385	+	0.371621i	$0.878802\pi$
$152$	−17.3518	−	8.35618i	−1.40742	−	0.677775i
$153$	6.96024	−	3.35187i	0.562702	−	0.270983i
$154$	−0.882564	+	3.27634i	−0.0711190	+	0.264015i
$155$	5.13678	+	2.47374i	0.412596	+	0.198696i
$156$	−0.175576	−	0.220165i	−0.0140573	−	0.0176273i
$157$	12.1912	−	5.87097i	0.972962	−	0.468554i	0.121284	−	0.992618i	$-0.461299\pi$
$157$	12.1912	−	5.87097i	0.972962	−	0.468554i	0.851679	+	0.524064i	$0.175585\pi$
$158$	−13.6583	+	17.1269i	−1.08659	+	1.36254i
$159$	2.79123	−	12.2292i	0.221359	−	0.969837i
$160$	1.95843	−	2.45580i	0.154828	−	0.194148i
$161$	1.49086	−	5.53450i	0.117496	−	0.436180i
$162$	2.98103	+	3.73810i	0.234212	+	0.293693i
$163$	19.8261	−	9.54774i	1.55290	−	0.747837i	0.556358	−	0.830943i	$-0.312198\pi$
$163$	19.8261	−	9.54774i	1.55290	−	0.747837i	0.996541	+	0.0831062i	$0.0264841\pi$
$164$	0.255662	−	1.12013i	0.0199639	−	0.0874674i
$165$	−2.83848			−0.220975
$166$	−7.73319			−0.600212
$167$	4.46146	−	19.5469i	0.345238	−	1.51259i	−0.442608	−	0.896715i	$-0.645947\pi$
$167$	4.46146	−	19.5469i	0.345238	−	1.51259i	0.787846	−	0.615872i	$-0.211196\pi$
$168$	−1.67221	−	8.90260i	−0.129014	−	0.686851i
$169$	−0.222521	−	0.974928i	−0.0171170	−	0.0749945i
$170$	4.89842	+	21.4614i	0.375692	+	1.64601i
$171$	−6.04288	−	7.57753i	−0.462110	−	0.579468i
$172$	−0.763019	−	0.956796i	−0.0581797	−	0.0729550i
$173$	4.03742	+	17.6891i	0.306959	+	1.34488i	0.859391	+	0.511318i	$0.170843\pi$
$173$	4.03742	+	17.6891i	0.306959	+	1.34488i	−0.552432	+	0.833558i	$0.686300\pi$
$174$	−2.12275	−	9.30038i	−0.160925	−	0.705060i
$175$	−0.746355	−	3.97350i	−0.0564192	−	0.300368i
$176$	−0.840951	+	3.68445i	−0.0633891	+	0.277726i
$177$	10.9001			0.819301
$178$	14.9306			1.11910
$179$	−1.96392	+	8.60450i	−0.146790	+	0.643131i	0.846974	+	0.531634i	$0.178422\pi$
$179$	−1.96392	+	8.60450i	−0.146790	+	0.643131i	−0.993765	+	0.111497i	$0.964435\pi$
$180$	0.670997	−	0.323135i	0.0500132	−	0.0240851i
$181$	13.9588	+	17.5037i	1.03755	+	1.30104i	0.952458	+	0.304669i	$0.0985458\pi$
$181$	13.9588	+	17.5037i	1.03755	+	1.30104i	0.0850883	+	0.996373i	$0.472883\pi$
$182$	−1.02495	+	3.80491i	−0.0759741	+	0.282039i
$183$	−3.36332	+	4.21747i	−0.248624	+	0.311764i
$184$	1.27927	−	5.60484i	0.0943089	−	0.413194i
$185$	−7.51032	+	9.41764i	−0.552169	+	0.692398i
$186$	−3.86324	+	1.86044i	−0.283267	+	0.136414i
$187$	−3.10569	−	3.89442i	−0.227111	−	0.284788i
$188$	0.221440	+	0.106640i	0.0161502	+	0.00777751i
$189$	3.84926	−	14.2896i	0.279992	−	1.03942i
$190$	24.8826	−	11.9828i	1.80517	−	0.869324i
$191$	−5.04691	−	2.43046i	−0.365182	−	0.175862i	0.242289	−	0.970204i	$-0.422102\pi$
$191$	−5.04691	−	2.43046i	−0.365182	−	0.175862i	−0.607471	+	0.794342i	$0.707816\pi$
$192$	−1.99435	−	8.73782i	−0.143930	−	0.630598i
$193$	−10.6679	−	5.13737i	−0.767890	−	0.369796i	0.00856975	−	0.999963i	$-0.497272\pi$
$193$	−10.6679	−	5.13737i	−0.767890	−	0.369796i	−0.776460	+	0.630167i	$0.782986\pi$
$194$	−0.633524	+	0.794414i	−0.0454844	+	0.0570356i
$195$	−3.29641			−0.236061
$196$	1.04219	−	1.11724i	0.0744420	−	0.0798028i
$197$	−14.4837			−1.03192			−0.515961	−	0.856612i	$-0.672565\pi$
$197$	−14.4837			−1.03192			−0.515961	+	0.856612i	$0.672565\pi$
$198$	−1.06785	+	1.33904i	−0.0758889	+	0.0951616i
$199$	14.3560	+	6.91349i	1.01767	+	0.490084i	0.866899	−	0.498484i	$-0.166110\pi$
$199$	14.3560	+	6.91349i	1.01767	+	0.490084i	0.150772	+	0.988569i	$0.451824\pi$
$200$	−0.902347	−	3.95344i	−0.0638055	−	0.279550i
$201$	15.0464	+	7.24598i	1.06129	+	0.511092i
$202$	−9.43590	+	4.54409i	−0.663908	+	0.319721i
$203$	−8.58088	+	9.94439i	−0.602260	+	0.697959i
$204$	−1.46767	−	0.706795i	−0.102758	−	0.0494855i
$205$	−8.38554	−	10.5151i	−0.585671	−	0.734409i
$206$	10.7755	−	5.18921i	0.750765	−	0.361549i
$207$	1.80385	−	2.26195i	0.125376	−	0.157217i
$208$	−0.976621	+	4.27885i	−0.0677165	+	0.296685i
$209$	−3.89636	+	4.88588i	−0.269517	+	0.337963i
$210$	11.4763	+	6.08491i	0.791937	+	0.419899i
$211$	−1.26052	−	1.58065i	−0.0867780	−	0.108816i	0.736547	−	0.676386i	$-0.236455\pi$
$211$	−1.26052	−	1.58065i	−0.0867780	−	0.108816i	−0.823325	+	0.567570i	$0.807884\pi$
$212$	1.91194	−	0.920742i	0.131313	−	0.0632369i
$213$	−4.55891	+	19.9739i	−0.312372	+	1.36859i
$214$	−10.1169			−0.691577
$215$	−14.3256			−0.976996
$216$	3.30296	−	14.4712i	0.224738	−	0.984640i
$217$	5.21603	+	2.76563i	0.354087	+	0.187743i
$218$	3.83670	+	16.8097i	0.259854	+	1.13849i
$219$	−4.24224	−	18.5865i	−0.286664	−	1.25596i
$220$	−0.299403	−	0.375439i	−0.0201857	−	0.0253121i
$221$	−3.60673	−	4.52270i	−0.242615	−	0.304230i
$222$	−2.01586	−	8.83207i	−0.135296	−	0.592769i
$223$	0.763980	+	3.34722i	0.0511599	+	0.224146i	0.994045	−	0.108973i	$-0.0347561\pi$
$223$	0.763980	+	3.34722i	0.0511599	+	0.224146i	−0.942885	+	0.333119i	$0.891899\pi$
$224$	2.12492	−	2.46258i	0.141978	−	0.164538i
$225$	0.454102	−	1.98955i	0.0302735	−	0.132637i
$226$	−7.48692			−0.498022
$227$	4.07018			0.270147			0.135074	−	0.990836i	$-0.456873\pi$
$227$	4.07018			0.270147			0.135074	+	0.990836i	$0.456873\pi$
$228$	−0.454769	+	1.99247i	−0.0301178	+	0.131955i
$229$	15.5304	−	7.47904i	1.02628	−	0.494229i	0.156502	−	0.987678i	$-0.449978\pi$
$229$	15.5304	−	7.47904i	1.02628	−	0.494229i	0.869775	+	0.493449i	$0.164264\pi$
$230$	5.14009	+	6.44547i	0.338928	+	0.425002i
$231$	−2.93708	−	0.113808i	−0.193246	−	0.00748804i
$232$	−8.21396	+	10.3000i	−0.539273	+	0.676227i
$233$	2.81562	−	12.3360i	0.184457	−	0.808161i	−0.795016	−	0.606588i	$-0.792538\pi$
$233$	2.81562	−	12.3360i	0.184457	−	0.808161i	0.979474	−	0.201573i	$-0.0646052\pi$
$234$	−1.24013	+	1.55507i	−0.0810696	+	0.101658i
$235$	2.59216	−	1.24832i	0.169094	−	0.0814313i
$236$	1.14974	+	1.44173i	0.0748417	+	0.0938485i
$237$	−17.0969	−	8.23341i	−1.11056	−	0.534818i
$238$	4.20808	+	22.4033i	0.272769	+	1.45219i
$239$	−0.393339	+	0.189422i	−0.0254430	+	0.0122527i	−0.446562	−	0.894753i	$-0.647352\pi$
$239$	−0.393339	+	0.189422i	−0.0254430	+	0.0122527i	0.421119	+	0.907005i	$0.361637\pi$
$240$	13.0348	+	6.27725i	0.841396	+	0.405195i
$241$	6.27612	+	27.4975i	0.404281	+	1.77127i	0.609738	+	0.792603i	$0.291275\pi$
$241$	6.27612	+	27.4975i	0.404281	+	1.77127i	−0.205457	+	0.978666i	$0.565868\pi$
$242$	−13.7658	−	6.62927i	−0.884900	−	0.426146i
$243$	7.88014	−	9.88138i	0.505511	−	0.633891i
$244$	−0.912597			−0.0584230
$245$	−2.61860	−	17.6924i	−0.167296	−	1.13032i
$246$	10.1149			0.644904
$247$	−4.52495	+	5.67411i	−0.287916	+	0.361035i
$248$	5.33515	+	2.56927i	0.338783	+	0.163149i
$249$	−1.49063	−	6.53088i	−0.0944649	−	0.413878i
$250$	−11.9036	−	5.73245i	−0.752847	−	0.362552i
$251$	−17.2319	+	8.29844i	−1.08767	+	0.523793i	−0.889760	−	0.456428i	$-0.849129\pi$
$251$	−17.2319	+	8.29844i	−1.08767	+	0.523793i	−0.197907	+	0.980221i	$0.563414\pi$
$252$	0.707261	−	0.307456i	0.0445533	−	0.0193679i
$253$	−1.68072	−	0.809393i	−0.105666	−	0.0508861i
$254$	1.02409	+	1.28417i	0.0642570	+	0.0805757i
$255$	−17.1805	+	8.27369i	−1.07588	+	0.518118i
$256$	3.22861	−	4.04855i	0.201788	−	0.253034i
$257$	3.57732	−	15.6733i	0.223147	−	0.977672i	−0.731945	−	0.681364i	$-0.761387\pi$
$257$	3.57732	−	15.6733i	0.223147	−	0.977672i	0.955092	−	0.296308i	$-0.0957556\pi$
$258$	6.71742	−	8.42337i	0.418208	−	0.524416i
$259$	−8.14879	+	9.44365i	−0.506341	+	0.586800i
$260$	−0.347705	−	0.436008i	−0.0215637	−	0.0270401i
$261$	−5.97328	+	2.87658i	−0.369737	+	0.178056i
$262$	2.50264	−	10.9648i	0.154614	−	0.677407i
$263$	−11.2438			−0.693325			−0.346662	−	0.937990i	$-0.612685\pi$
$263$	−11.2438			−0.693325			−0.346662	+	0.937990i	$0.612685\pi$
$264$	−2.94810			−0.181443
$265$	5.52766	−	24.2183i	0.339562	−	1.48772i
$266$	26.2273	−	11.4014i	1.60810	−	0.699064i
$267$	2.87799	+	12.6093i	0.176130	+	0.771677i
$268$	0.628688	+	2.75446i	0.0384032	+	0.168255i
$269$	16.0010	+	20.0646i	0.975599	+	1.22336i	0.974735	+	0.223363i	$0.0717035\pi$
$269$	16.0010	+	20.0646i	0.975599	+	1.22336i	0.000863720		1.00000i	$0.499725\pi$
$270$	13.2713	+	16.6416i	0.807663	+	1.01278i
$271$	2.32370	+	10.1808i	0.141155	+	0.618438i	0.995168	+	0.0981874i	$0.0313045\pi$
$271$	2.32370	+	10.1808i	0.141155	+	0.618438i	−0.854013	+	0.520251i	$0.825838\pi$
$272$	5.64951	+	24.7521i	0.342552	+	1.50082i
$273$	−3.41091	−	0.132169i	−0.206438	−	0.00799923i
$274$	−4.23705	+	18.5637i	−0.255970	+	1.12148i
$275$	−1.31582			−0.0793472
$276$	−0.610065			−0.0367216
$277$	−1.97203	+	8.64004i	−0.118488	+	0.519130i	0.880496	+	0.474054i	$0.157210\pi$
$277$	−1.97203	+	8.64004i	−0.118488	+	0.519130i	−0.998984	+	0.0450755i	$0.985647\pi$
$278$	12.8597	−	6.19291i	0.771274	−	0.371426i
$279$	1.85800	+	2.32986i	0.111236	+	0.139485i
$280$	−3.31158	−	17.6304i	−0.197905	−	1.05362i
$281$	−8.68314	+	10.8883i	−0.517993	+	0.649542i	−0.970181	−	0.242380i	$-0.922072\pi$
$281$	−8.68314	+	10.8883i	−0.517993	+	0.649542i	0.452189	+	0.891922i	$0.350643\pi$
$282$	−0.481486	+	2.10953i	−0.0286721	+	0.125621i
$283$	−15.9140	+	19.9555i	−0.945986	+	1.18623i	0.0363943	+	0.999338i	$0.488413\pi$
$283$	−15.9140	+	19.9555i	−0.945986	+	1.18623i	−0.982381	+	0.186892i	$0.940159\pi$
$284$	−3.12277	+	1.50385i	−0.185303	+	0.0892370i
$285$	14.9161	+	18.7042i	0.883553	+	1.10794i
$286$	1.15548	+	0.556449i	0.0683248	+	0.0329035i
$287$	−8.25522	−	11.2166i	−0.487290	−	0.662095i
$288$	1.47919	−	0.712342i	0.0871623	−	0.0419752i
$289$	−14.8330	−	7.14318i	−0.872527	−	0.420187i
$290$	−4.20383	−	18.4182i	−0.246857	−	1.08155i
$291$	−0.793020	−	0.381898i	−0.0464877	−	0.0223873i
$292$	2.01092	−	2.52161i	0.117680	−	0.147566i
$293$	19.3150			1.12839			0.564196	−	0.825641i	$-0.309186\pi$
$293$	19.3150			1.12839			0.564196	+	0.825641i	$0.309186\pi$
$294$	11.6309	+	6.75642i	0.678330	+	0.394042i
$295$	21.5862			1.25680
$296$	−7.80035	+	9.78133i	−0.453386	+	0.568528i
$297$	−4.33947	−	2.08978i	−0.251802	−	0.121261i
$298$	−0.0421755	−	0.184783i	−0.00244316	−	0.0107042i
$299$	−1.95187	−	0.939971i	−0.112880	−	0.0543599i
$300$	−0.387702	+	0.186707i	−0.0223840	+	0.0107796i
$301$	−14.8232	−	0.574381i	−0.854394	−	0.0331068i
$302$	−5.13542	−	2.47309i	−0.295510	−	0.142310i
$303$	−5.65645	−	7.09296i	−0.324954	−	0.407480i
$304$	28.6979	−	13.8202i	1.64594	−	0.792641i
$305$	−6.66061	+	8.35214i	−0.381386	+	0.478242i
$306$	−2.56031	+	11.2174i	−0.146363	+	0.641258i
$307$	−15.1281	+	18.9700i	−0.863404	+	1.08267i	0.132403	+	0.991196i	$0.457731\pi$
$307$	−15.1281	+	18.9700i	−0.863404	+	1.08267i	−0.995807	+	0.0914785i	$0.970841\pi$
$308$	−0.294749	−	0.400485i	−0.0167949	−	0.0228197i
$309$	6.45948	+	8.09994i	0.367467	+	0.460789i
$310$	−7.65064	+	3.68435i	−0.434527	+	0.209257i
$311$	0.122120	−	0.535045i	0.00692482	−	0.0303396i	−0.971347	−	0.237664i	$-0.923618\pi$
$311$	0.122120	−	0.535045i	0.00692482	−	0.0303396i	0.978272	+	0.207324i	$0.0664755\pi$
$312$	−3.42371			−0.193829
$313$	−7.11394			−0.402104			−0.201052	−	0.979581i	$-0.564436\pi$
$313$	−7.11394			−0.402104			−0.201052	+	0.979581i	$0.564436\pi$
$314$	−4.48450	+	19.6479i	−0.253075	+	1.10879i
$315$	2.34811	−	8.71688i	0.132301	−	0.491140i
$316$	−0.714361	−	3.12982i	−0.0401859	−	0.176066i
$317$	7.78158	+	34.0933i	0.437057	+	1.91487i	0.402378	+	0.915474i	$0.368184\pi$
$317$	7.78158	+	34.0933i	0.437057	+	1.91487i	0.0346795	+	0.999398i	$0.488959\pi$
$318$	11.6483	+	14.6065i	0.653202	+	0.819089i
$319$	2.66531	+	3.34219i	0.149229	+	0.187127i
$320$	−3.94955	−	17.3041i	−0.220786	−	0.967328i
$321$	−1.95011	−	8.54399i	−0.108845	−	0.476879i
$322$	5.06021	+	6.87545i	0.281994	+	0.383154i
$323$	−9.34201	+	40.9300i	−0.519803	+	2.27741i
$324$	−0.700678			−0.0389265
$325$	−1.52810			−0.0847640
$326$	−7.29298	+	31.9526i	−0.403921	+	1.76969i
$327$	−13.4567	+	6.48039i	−0.744155	+	0.358366i
$328$	−8.70937	−	10.9212i	−0.480895	−	0.603023i
$329$	2.73225	−	1.18775i	0.150634	−	0.0654827i
$330$	2.63586	−	3.30526i	0.145099	−	0.181949i
$331$	−4.44751	+	19.4858i	−0.244457	+	1.07104i	0.692452	+	0.721464i	$0.256531\pi$
$331$	−4.44751	+	19.4858i	−0.244457	+	1.07104i	−0.936909	+	0.349573i	$0.886327\pi$
$332$	0.706592	−	0.886038i	0.0387793	−	0.0486277i
$333$	−5.67250	+	2.73173i	−0.310851	+	0.149698i
$334$	18.6184	+	23.3467i	1.01875	+	1.27748i
$335$	29.7975	+	14.3497i	1.62801	+	0.784009i
$336$	13.2359	+	7.01793i	0.722080	+	0.382859i
$337$	22.7282	−	10.9453i	1.23808	−	0.596230i	0.303791	−	0.952739i	$-0.401747\pi$
$337$	22.7282	−	10.9453i	1.23808	−	0.596230i	0.934292	+	0.356509i	$0.116033\pi$
$338$	1.34189	+	0.646220i	0.0729892	+	0.0351497i
$339$	−1.44316	−	6.32290i	−0.0783817	−	0.343413i
$340$	−2.90654	−	1.39971i	−0.157629	−	0.0759101i
$341$	1.19801	−	1.50226i	0.0648761	−	0.0813520i
$342$	14.4351			0.780563
$343$	−2.00019	−	18.4119i	−0.108000	−	0.994151i
$344$	−14.8788			−0.802211
$345$	−4.45258	+	5.58336i	−0.239719	+	0.300598i
$346$	−24.3472	−	11.7250i	−1.30892	−	0.630340i
$347$	2.83027	+	12.4002i	0.151937	+	0.665680i	0.992321	+	0.123689i	$0.0394724\pi$
$347$	2.83027	+	12.4002i	0.151937	+	0.665680i	−0.840384	+	0.541991i	$0.817670\pi$
$348$	1.25956	+	0.606572i	0.0675195	+	0.0325157i
$349$	−5.19771	+	2.50309i	−0.278227	+	0.133987i	−0.567794	−	0.823171i	$-0.692203\pi$
$349$	−5.19771	+	2.50309i	−0.278227	+	0.133987i	0.289567	+	0.957158i	$0.406489\pi$
$350$	5.32001	+	2.82076i	0.284366	+	0.150776i
$351$	−5.03956	−	2.42692i	−0.268992	−	0.129540i
$352$	−0.660024	−	0.827644i	−0.0351794	−	0.0441136i
$353$	9.08054	−	4.37296i	0.483309	−	0.232749i	−0.176331	−	0.984331i	$-0.556423\pi$
$353$	9.08054	−	4.37296i	0.483309	−	0.232749i	0.659640	+	0.751582i	$0.270709\pi$
$354$	−10.1220	+	12.6926i	−0.537978	+	0.674603i
$355$	−9.02833	+	39.5557i	−0.479174	+	2.09940i
$356$	−1.36423	+	1.71069i	−0.0723042	+	0.0906665i
$357$	−18.1090	+	7.87224i	−0.958430	+	0.416643i
$358$	−8.19577	−	10.2772i	−0.433160	−	0.543165i
$359$	4.82886	−	2.32546i	0.254857	−	0.122733i	−0.302093	−	0.953278i	$-0.597685\pi$
$359$	4.82886	−	2.32546i	0.254857	−	0.122733i	0.556951	+	0.830545i	$0.311971\pi$
$360$	2.01485	−	8.82765i	0.106192	−	0.465258i
$361$	33.6707			1.77214
$362$	−33.3445			−1.75255
$363$	2.94513	−	12.9034i	0.154579	−	0.677255i
$364$	−0.342301	−	0.465094i	−0.0179415	−	0.0243776i
$365$	−8.40120	−	36.8081i	−0.439739	−	1.92662i
$366$	−1.78779	−	7.83282i	−0.0934493	−	0.409428i
$367$	−9.16193	−	11.4887i	−0.478249	−	0.599705i	0.482920	−	0.875664i	$-0.339576\pi$
$367$	−9.16193	−	11.4887i	−0.478249	−	0.599705i	−0.961169	+	0.275959i	$0.911005\pi$
$368$	5.92823	+	7.43377i	0.309031	+	0.387512i
$369$	−1.56426	−	6.85347i	−0.0814321	−	0.356777i
$370$	−3.99215	−	17.4907i	−0.207542	−	0.909300i
$371$	6.69070	−	24.8379i	0.347364	−	1.28952i
$372$	0.139828	−	0.612626i	0.00724974	−	0.0317632i
$373$	−18.8021			−0.973536			−0.486768	−	0.873531i	$-0.661824\pi$
$373$	−18.8021			−0.973536			−0.486768	+	0.873531i	$0.661824\pi$
$374$	7.41885			0.383619
$375$	2.54671	−	11.1578i	0.131511	−	0.576189i
$376$	2.69226	−	1.29653i	0.138843	−	0.0668632i
$377$	3.09530	+	3.88139i	0.159416	+	0.199902i
$378$	13.0650	+	17.7518i	0.671992	+	0.913055i
$379$	16.3280	−	20.4747i	0.838714	−	1.05171i	−0.159205	−	0.987245i	$-0.550893\pi$
$379$	16.3280	−	20.4747i	0.838714	−	1.05171i	0.997920	−	0.0644690i	$-0.0205354\pi$
$380$	−0.900610	+	3.94583i	−0.0462003	+	0.202417i
$381$	−0.887111	+	1.11240i	−0.0454481	+	0.0569901i
$382$	7.51679	−	3.61990i	0.384593	−	0.185210i
$383$	0.788087	+	0.988230i	0.0402694	+	0.0504962i	0.801558	−	0.597917i	$-0.204005\pi$
$383$	0.788087	+	0.988230i	0.0402694	+	0.0504962i	−0.761289	+	0.648413i	$0.775433\pi$
$384$	14.8848	+	7.16814i	0.759586	+	0.365797i
$385$	−5.81650	−	0.225382i	−0.296436	−	0.0114866i
$386$	15.8886	−	7.65153i	0.808706	−	0.389452i
$387$	−6.74618	−	3.24879i	−0.342928	−	0.165145i
$388$	−0.0331349	−	0.145173i	−0.00168217	−	0.00737006i
$389$	9.17886	+	4.42031i	0.465387	+	0.224118i	0.651857	−	0.758342i	$-0.273990\pi$
$389$	9.17886	+	4.42031i	0.465387	+	0.224118i	−0.186470	+	0.982461i	$0.559705\pi$
$390$	3.06110	−	3.83850i	0.155005	−	0.194370i
$391$	−12.5322			−0.633778
$392$	−2.71973	−	18.3756i	−0.137367	−	0.928109i
$393$	9.74246			0.491442
$394$	13.4498	−	16.8655i	0.677591	−	0.849673i
$395$	−33.8581	−	16.3052i	−1.70358	−	0.820403i
$396$	−0.0558513	−	0.244700i	−0.00280663	−	0.0122967i
$397$	−19.3009	−	9.29484i	−0.968686	−	0.466495i	−0.118487	−	0.992956i	$-0.537804\pi$
$397$	−19.3009	−	9.29484i	−0.968686	−	0.466495i	−0.850199	+	0.526461i	$0.823519\pi$
$398$	−21.3816	+	10.2968i	−1.07176	+	0.516134i
$399$	14.6843	+	19.9520i	0.735134	+	0.998848i
$400$	6.04252	+	2.90992i	0.302126	+	0.145496i
$401$	−0.697317	−	0.874408i	−0.0348223	−	0.0436658i	0.764115	−	0.645080i	$-0.223176\pi$
$401$	−0.697317	−	0.874408i	−0.0348223	−	0.0436658i	−0.798938	+	0.601414i	$0.794604\pi$
$402$	−22.4099	+	10.7921i	−1.11771	+	0.538259i
$403$	1.39129	−	1.74462i	0.0693050	−	0.0869057i
$404$	0.341527	−	1.49633i	0.0169916	−	0.0744451i
$405$	−5.11391	+	6.41264i	−0.254112	+	0.318647i
$406$	−3.61138	−	19.2265i	−0.179230	−	0.954195i
$407$	2.53110	+	3.17390i	0.125462	+	0.157324i
$408$	−17.8440	+	8.59320i	−0.883408	+	0.425427i
$409$	5.28709	−	23.1643i	0.261430	−	1.14540i	−0.658271	−	0.752781i	$-0.728712\pi$
$409$	5.28709	−	23.1643i	0.261430	−	1.14540i	0.919701	−	0.392619i	$-0.128431\pi$
$410$	20.0313			0.989274
$411$	−16.4943			−0.813603
$412$	−0.390013	+	1.70876i	−0.0192146	+	0.0841846i
$413$	22.3360	+	0.865494i	1.09908	+	0.0425882i
$414$	0.958845	+	4.20098i	0.0471247	+	0.206467i
$415$	−2.95200	−	12.9335i	−0.144908	−	0.634883i
$416$	−0.766505	−	0.961167i	−0.0375810	−	0.0471251i
$417$	7.70888	+	9.66663i	0.377505	+	0.473377i
$418$	−2.07113	−	9.07421i	−0.101302	−	0.443834i
$419$	−3.63601	−	15.9304i	−0.177631	−	0.778251i	−0.982720	−	0.185097i	$-0.940740\pi$
$419$	−3.63601	−	15.9304i	−0.177631	−	0.778251i	0.805090	−	0.593153i	$-0.202117\pi$
$420$	−1.74579	+	0.758918i	−0.0851857	+	0.0370314i
$421$	−4.65860	+	20.4107i	−0.227046	+	0.994754i	0.724988	+	0.688762i	$0.241845\pi$
$421$	−4.65860	+	20.4107i	−0.227046	+	0.994754i	−0.952034	+	0.305993i	$0.901012\pi$
$422$	3.01112			0.146579
$423$	1.50379			0.0731169
$424$	5.74113	−	25.1535i	0.278814	−	1.22156i
$425$	−7.96430	+	3.83540i	−0.386325	+	0.186044i
$426$	−19.0251	−	23.8567i	−0.921769	−	1.15586i
$427$	−7.22686	+	8.37521i	−0.349732	+	0.405305i
$428$	0.924395	−	1.15915i	0.0446823	−	0.0560299i
$429$	−0.247208	+	1.08309i	−0.0119353	+	0.0522921i
$430$	13.3030	−	16.6814i	0.641526	−	0.804448i
$431$	26.8075	−	12.9098i	1.29127	−	0.621845i	0.343011	−	0.939331i	$-0.388553\pi$
$431$	26.8075	−	12.9098i	1.29127	−	0.621845i	0.948263	+	0.317487i	$0.102839\pi$
$432$	15.3062	+	19.1933i	0.736419	+	0.923440i
$433$	11.5342	+	5.55456i	0.554297	+	0.266935i	0.689994	−	0.723815i	$-0.257613\pi$
$433$	11.5342	+	5.55456i	0.554297	+	0.266935i	−0.135697	+	0.990750i	$0.543327\pi$
$434$	−8.06412	+	3.50558i	−0.387090	+	0.168273i
$435$	14.7443	−	7.10049i	0.706936	−	0.340442i
$436$	−2.27655	−	1.09633i	−0.109027	−	0.0525047i
$437$	3.49862	+	15.3285i	0.167362	+	0.733259i
$438$	25.5824	+	12.3198i	1.22237	+	0.588665i
$439$	4.02935	−	5.05265i	0.192311	−	0.241150i	−0.676323	−	0.736605i	$-0.736427\pi$
$439$	4.02935	−	5.05265i	0.192311	−	0.241150i	0.868633	+	0.495456i	$0.164999\pi$
$440$	−5.83832			−0.278331
$441$	2.77917	−	8.92552i	0.132342	−	0.425025i
$442$	8.61572			0.409808
$443$	6.41693	−	8.04658i	0.304878	−	0.382304i	−0.605665	−	0.795720i	$-0.707093\pi$
$443$	6.41693	−	8.04658i	0.304878	−	0.382304i	0.910543	+	0.413415i	$0.135664\pi$
$444$	1.19614	+	0.576029i	0.0567661	+	0.0273371i
$445$	5.69948	+	24.9711i	0.270181	+	1.18374i
$446$	−4.60710	−	2.21866i	−0.218153	−	0.105057i
$447$	0.147924	−	0.0712366i	0.00699658	−	0.00336938i
$448$	−3.39293	−	18.0635i	−0.160301	−	0.853422i
$449$	11.8302	+	5.69711i	0.558300	+	0.268863i	0.691683	−	0.722201i	$-0.256870\pi$
$449$	11.8302	+	5.69711i	0.558300	+	0.268863i	−0.133383	+	0.991065i	$0.542584\pi$
$450$	1.89504	+	2.37631i	0.0893331	+	0.112020i
$451$	−4.08378	+	1.96665i	−0.192298	+	0.0926057i
$452$	0.684090	−	0.857822i	0.0321769	−	0.0403486i
$453$	1.09870	−	4.81370i	0.0516213	−	0.226168i
$454$	−3.77964	+	4.73952i	−0.177387	+	0.222436i
$455$	−6.75487	−	0.261743i	−0.316673	−	0.0122707i
$456$	15.4921	+	19.4265i	0.725486	+	0.909730i
$457$	−13.2872	+	6.39879i	−0.621550	+	0.299323i	−0.718030	−	0.696012i	$-0.754956\pi$
$457$	−13.2872	+	6.39879i	−0.621550	+	0.299323i	0.0964797	+	0.995335i	$0.469242\pi$
$458$	−5.71281	+	25.0295i	−0.266942	+	1.16955i
$459$	−32.3569			−1.51029
$460$	−1.20815			−0.0563305
$461$	−0.441198	+	1.93301i	−0.0205486	+	0.0900294i	−0.984162	−	0.177269i	$-0.943274\pi$
$461$	−0.441198	+	1.93301i	−0.0205486	+	0.0900294i	0.963614	+	0.267298i	$0.0861309\pi$
$462$	2.85994	−	3.31439i	0.133057	−	0.154199i
$463$	−1.01242	−	4.43572i	−0.0470513	−	0.206145i	0.945938	−	0.324347i	$-0.105144\pi$
$463$	−1.01242	−	4.43572i	−0.0470513	−	0.206145i	−0.992990	+	0.118201i	$0.962287\pi$
$464$	−4.84841	−	21.2423i	−0.225082	−	0.986148i
$465$	−4.58625	−	5.75098i	−0.212682	−	0.266695i
$466$	11.7500	+	14.7341i	0.544310	+	0.682544i
$467$	0.374368	+	1.64021i	0.0173237	+	0.0759000i	0.982851	−	0.184402i	$-0.0590349\pi$
$467$	0.374368	+	1.64021i	0.0173237	+	0.0759000i	−0.965527	+	0.260302i	$0.916178\pi$
$468$	−0.0648617	−	0.284178i	−0.00299823	−	0.0131361i
$469$	30.2572	+	16.0429i	1.39715	+	0.740792i
$470$	−0.953520	+	4.17764i	−0.0439826	+	0.192700i
$471$	−17.4576			−0.804402
$472$	22.4198			1.03196
$473$	−1.07432	+	4.70691i	−0.0493973	+	0.216424i
$474$	25.4638	−	12.2627i	1.16959	−	0.563245i
$475$	6.91460	+	8.67063i	0.317264	+	0.397836i
$476$	−2.95138	−	1.56487i	−0.135276	−	0.0717258i
$477$	8.09536	−	10.1513i	0.370661	−	0.464794i
$478$	0.144689	−	0.633924i	0.00661792	−	0.0289950i
$479$	4.45147	−	5.58197i	0.203393	−	0.255047i	−0.669665	−	0.742663i	$-0.733562\pi$
$479$	4.45147	−	5.58197i	0.203393	−	0.255047i	0.873058	+	0.487617i	$0.162134\pi$
$480$	−3.65121	+	1.75833i	−0.166654	+	0.0802564i
$481$	2.93944	+	3.68594i	0.134027	+	0.168064i
$482$	−37.8475	−	18.2264i	−1.72391	−	0.830190i
$483$	−4.83111	+	5.59878i	−0.219823	+	0.254753i
$484$	2.01736	−	0.971508i	0.0916981	−	0.0441595i
$485$	−1.57047	−	0.756299i	−0.0713114	−	0.0343418i
$486$	4.18873	+	18.3520i	0.190005	+	0.832464i
$487$	−4.24071	−	2.04222i	−0.192165	−	0.0925418i	0.335327	−	0.942102i	$-0.391153\pi$
$487$	−4.24071	−	2.04222i	−0.192165	−	0.0925418i	−0.527492	+	0.849560i	$0.676868\pi$
$488$	−6.91784	+	8.67469i	−0.313156	+	0.392685i
$489$	−28.3906			−1.28387
$490$	23.0335	+	13.3802i	1.04055	+	0.604456i
$491$	−7.50076			−0.338505			−0.169252	−	0.985573i	$-0.554135\pi$
$491$	−7.50076			−0.338505			−0.169252	+	0.985573i	$0.554135\pi$
$492$	−0.924214	+	1.15893i	−0.0416668	+	0.0522485i
$493$	25.8743	+	12.4604i	1.16532	+	0.561188i
$494$	−2.40526	−	10.5381i	−0.108218	−	0.474134i
$495$	−2.64715	−	1.27480i	−0.118980	−	0.0572979i
$496$	−8.82373	+	4.24929i	−0.396197	+	0.190799i
$497$	−10.9279	+	40.5677i	−0.490184	+	1.81971i
$498$	8.98909	+	4.32892i	0.402811	+	0.193983i
$499$	11.9194	+	14.9464i	0.533585	+	0.669094i	0.973431	−	0.228979i	$-0.0735387\pi$
$499$	11.9194	+	14.9464i	0.533585	+	0.669094i	−0.439847	+	0.898073i	$0.644967\pi$
$500$	1.74445	−	0.840081i	0.0780140	−	0.0375696i
$501$	−16.1281	+	20.2240i	−0.720550	+	0.903541i
$502$	6.33871	−	27.7717i	0.282911	−	1.23951i
$503$	25.2663	−	31.6829i	1.12657	−	1.41267i	0.228099	−	0.973638i	$-0.426749\pi$
$503$	25.2663	−	31.6829i	1.12657	−	1.41267i	0.898470	−	0.439035i	$-0.144680\pi$
$504$	2.43879	−	9.05351i	0.108632	−	0.403275i
$505$	−11.2018	−	14.0467i	−0.498476	−	0.625069i
$506$	2.50324	−	1.20550i	0.111283	−	0.0535909i
$507$	−0.287090	+	1.25782i	−0.0127501	+	0.0558620i
$508$	−0.240707			−0.0106796
$509$	7.38024			0.327123			0.163562	−	0.986533i	$-0.447702\pi$
$509$	7.38024			0.327123			0.163562	+	0.986533i	$0.447702\pi$
$510$	6.31980	−	27.6889i	0.279846	−	1.22608i
$511$	−7.21722	−	38.4235i	−0.319271	−	1.69976i
$512$	−3.98265	−	17.4491i	−0.176010	−	0.771150i
$513$	9.03312	+	39.5767i	0.398822	+	1.74735i
$514$	14.9288	+	18.7201i	0.658479	+	0.825707i
$515$	12.7922	+	16.0409i	0.563690	+	0.706845i
$516$	0.351338	+	1.53931i	0.0154668	+	0.0677644i
$517$	−0.215762	−	0.945313i	−0.00948918	−	0.0415748i
$518$	−3.42953	−	18.2584i	−0.150685	−	0.802227i
$519$	5.20896	−	22.8220i	0.228648	−	1.00177i
$520$	−6.78021			−0.297332
$521$	3.50886			0.153726			0.0768629	−	0.997042i	$-0.475510\pi$
$521$	3.50886			0.153726			0.0768629	+	0.997042i	$0.475510\pi$
$522$	2.19726	−	9.62682i	0.0961714	−	0.421354i
$523$	−12.3416	+	5.94342i	−0.539662	+	0.259888i	−0.683799	−	0.729670i	$-0.739674\pi$
$523$	−12.3416	+	5.94342i	−0.539662	+	0.259888i	0.144137	+	0.989558i	$0.453959\pi$
$524$	1.02763	+	1.28861i	0.0448924	+	0.0562932i
$525$	−1.35674	+	5.03661i	−0.0592128	+	0.219816i
$526$	10.4412	−	13.0929i	0.455258	−	0.570876i
$527$	2.87239	−	12.5848i	0.125123	−	0.548201i
$528$	3.04002	−	3.81207i	0.132300	−	0.165899i
$529$	16.4937	−	7.94296i	0.717119	−	0.345346i
$530$	23.0678	+	28.9262i	1.00200	+	1.25647i
$531$	10.1653	+	4.89537i	0.441138	+	0.212441i
$532$	−1.09010	+	4.04679i	−0.0472619	+	0.175450i
$533$	−4.74261	+	2.28392i	−0.205425	+	0.0989277i
$534$	−17.3554	−	8.35794i	−0.751043	−	0.361683i
$535$	−3.86193	−	16.9202i	−0.166966	−	0.731526i
$536$	30.9482	+	14.9039i	1.33676	+	0.643749i
$537$	7.09954	−	8.90254i	0.306368	−	0.384173i
$538$	−38.2230			−1.64791
$539$	−6.00950	−	0.466423i	−0.258848	−	0.0200903i
$540$	−3.11935			−0.134235
$541$	5.03310	−	6.31131i	0.216390	−	0.271345i	−0.661775	−	0.749703i	$-0.730196\pi$
$541$	5.03310	−	6.31131i	0.216390	−	0.271345i	0.878165	+	0.478358i	$0.158768\pi$
$542$	−14.0128	−	6.74821i	−0.601902	−	0.289861i
$543$	−6.42741	−	28.1603i	−0.275827	−	1.20848i
$544$	−6.40737	−	3.08563i	−0.274714	−	0.132295i
$545$	−26.6491	+	12.8336i	−1.14152	+	0.549729i
$546$	3.32133	−	3.84910i	0.142140	−	0.164726i
$547$	3.18952	+	1.53599i	0.136374	+	0.0656742i	0.500826	−	0.865548i	$-0.333030\pi$
$547$	3.18952	+	1.53599i	0.136374	+	0.0656742i	−0.364452	+	0.931222i	$0.618744\pi$
$548$	−1.73982	−	2.18166i	−0.0743212	−	0.0931959i
$549$	−5.03073	+	2.42267i	−0.214706	+	0.103397i
$550$	1.22190	−	1.53221i	0.0521018	−	0.0653336i
$551$	8.01732	−	35.1262i	0.341549	−	1.49643i
$552$	−4.62453	+	5.79898i	−0.196833	+	0.246821i
$553$	−34.3804	−	18.2291i	−1.46200	−	0.775180i
$554$	−8.22962	−	10.3196i	−0.349643	−	0.438438i
$555$	14.0019	−	6.74295i	0.594347	−	0.286222i
$556$	−0.465450	+	2.03927i	−0.0197395	+	0.0864843i
$557$	13.8075			0.585042			0.292521	−	0.956259i	$-0.405506\pi$
$557$	13.8075			0.585042			0.292521	+	0.956259i	$0.405506\pi$
$558$	−4.43838			−0.187891
$559$	−1.24764	+	5.46627i	−0.0527695	+	0.231198i
$560$	26.2120	+	13.8981i	1.10766	+	0.587301i
$561$	1.43004	+	6.26541i	0.0603763	+	0.264526i
$562$	−4.61557	−	20.2221i	−0.194696	−	0.853019i
$563$	−22.7651	−	28.5465i	−0.959433	−	1.20309i	−0.979120	−	0.203285i	$-0.934838\pi$
$563$	−22.7651	−	28.5465i	−0.959433	−	1.20309i	0.0196866	−	0.999806i	$-0.493733\pi$
$564$	−0.197707	−	0.247917i	−0.00832499	−	0.0104392i
$565$	−2.85799	−	12.5217i	−0.120237	−	0.526791i
$566$	−8.45914	−	37.0619i	−0.355564	−	1.55783i
$567$	−5.54867	+	6.43035i	−0.233022	+	0.270049i
$568$	−9.37699	+	41.0833i	−0.393450	+	1.72382i
$569$	27.6310			1.15835			0.579176	−	0.815202i	$-0.303374\pi$
$569$	27.6310			1.15835			0.579176	+	0.815202i	$0.303374\pi$
$570$	−35.6314			−1.49243
$571$	−0.452406	+	1.98212i	−0.0189326	+	0.0829491i	−0.983512	−	0.180845i	$-0.942117\pi$
$571$	−0.452406	+	1.98212i	−0.0189326	+	0.0829491i	0.964579	+	0.263794i	$0.0849739\pi$
$572$	−0.169333	+	0.0815466i	−0.00708018	+	0.00340964i
$573$	4.50602	+	5.65037i	0.188242	+	0.236047i
$574$	20.7271	+	0.803150i	0.865132	+	0.0335228i
$575$	−2.06406	+	2.58826i	−0.0860775	+	0.107938i
$576$	2.06435	−	9.04451i	0.0860146	−	0.376855i
$577$	−26.5365	+	33.2757i	−1.10473	+	1.38529i	−0.189726	+	0.981837i	$0.560760\pi$
$577$	−26.5365	+	33.2757i	−1.10473	+	1.38529i	−0.915002	+	0.403448i	$0.867811\pi$
$578$	22.0920	−	10.6389i	0.918905	−	0.442521i
$579$	9.52456	+	11.9434i	0.395827	+	0.496351i
$580$	2.49439	+	1.20124i	0.103574	+	0.0498786i
$581$	−2.53597	−	13.5012i	−0.105210	−	0.560123i
$582$	1.18111	−	0.568793i	0.0489587	−	0.0235772i
$583$	−7.54278	−	3.63241i	−0.312390	−	0.150439i
$584$	−8.72564	−	38.2295i	−0.361070	−	1.58195i
$585$	−3.07421	−	1.48046i	−0.127103	−	0.0612095i
$586$	−17.9362	+	22.4913i	−0.740938	+	0.929106i
$587$	12.8494			0.530352			0.265176	−	0.964200i	$-0.414570\pi$
$587$	12.8494			0.530352			0.265176	+	0.964200i	$0.414570\pi$
$588$	−1.83686	+	0.715283i	−0.0757508	+	0.0294978i
$589$	−16.1947			−0.667290
$590$	−20.0453	+	25.1360i	−0.825251	+	1.03483i
$591$	16.8359	+	8.10776i	0.692538	+	0.333509i
$592$	−4.60427	−	20.1726i	−0.189235	−	0.829091i
$593$	40.4050	+	19.4580i	1.65923	+	0.799044i	0.998841	+	0.0481224i	$0.0153238\pi$
$593$	40.4050	+	19.4580i	1.65923	+	0.799044i	0.660391	+	0.750922i	$0.270391\pi$
$594$	6.46314	−	3.11249i	0.265186	−	0.127707i
$595$	−35.8625	+	15.5899i	−1.47022	+	0.639125i
$596$	0.0250253	+	0.0120516i	0.00102508	+	0.000493651i
$597$	−12.8174	−	16.0725i	−0.524582	−	0.657805i
$598$	2.90708	−	1.39998i	0.118880	−	0.0572494i
$599$	−4.99107	+	6.25860i	−0.203930	+	0.255720i	−0.873270	−	0.487236i	$-0.838005\pi$
$599$	−4.99107	+	6.25860i	−0.203930	+	0.255720i	0.669341	+	0.742956i	$0.266577\pi$
$600$	−1.16418	+	5.10062i	−0.0475275	+	0.208232i
$601$	−1.20460	+	1.51053i	−0.0491368	+	0.0616156i	−0.805793	−	0.592198i	$-0.798260\pi$
$601$	−1.20460	+	1.51053i	−0.0491368	+	0.0616156i	0.756656	+	0.653813i	$0.226832\pi$
$602$	14.4339	−	16.7274i	0.588281	−	0.681760i
$603$	10.7779	+	13.5151i	0.438911	+	0.550377i
$604$	0.752587	−	0.362427i	0.0306223	−	0.0147469i
$605$	5.83243	−	25.5536i	0.237122	−	1.03890i
$606$	13.5121			0.548890
$607$	−41.2190			−1.67303			−0.836514	−	0.547945i	$-0.815410\pi$
$607$	−41.2190			−1.67303			−0.836514	+	0.547945i	$0.815410\pi$
$608$	−1.98537	+	8.69847i	−0.0805173	+	0.352769i
$609$	15.5412	−	6.75596i	0.629760	−	0.273765i
$610$	−3.54048	−	15.5119i	−0.143350	−	0.628057i
$611$	−0.250570	−	1.09782i	−0.0101370	−	0.0444130i
$612$	−1.05131	−	1.31830i	−0.0424967	−	0.0532892i
$613$	−29.1370	−	36.5367i	−1.17683	−	1.47570i	−0.846944	−	0.531682i	$-0.821560\pi$
$613$	−29.1370	−	36.5367i	−1.17683	−	1.47570i	−0.329889	−	0.944020i	$-0.607011\pi$
$614$	−8.04140	−	35.2317i	−0.324525	−	1.42183i
$615$	3.86118	+	16.9169i	0.155698	+	0.682157i
$616$	−6.04112	−	0.234086i	−0.243404	−	0.00943161i
$617$	−6.96504	+	30.5158i	−0.280402	+	1.22852i	0.616878	+	0.787059i	$0.288397\pi$
$617$	−6.96504	+	30.5158i	−0.280402	+	1.22852i	−0.897280	+	0.441462i	$0.854460\pi$
$618$	−15.4303			−0.620699
$619$	−17.8713			−0.718309			−0.359155	−	0.933278i	$-0.616935\pi$
$619$	−17.8713			−0.718309			−0.359155	+	0.933278i	$0.616935\pi$
$620$	0.276911	−	1.21323i	0.0111210	−	0.0487243i
$621$	−10.9178	+	5.25771i	−0.438114	+	0.210985i
$622$	0.509629	+	0.639054i	0.0204342	+	0.0256237i
$623$	4.89625	+	26.0670i	0.196164	+	1.04435i
$624$	3.53047	−	4.42706i	0.141332	−	0.177224i
$625$	6.74359	−	29.5456i	0.269744	−	1.18182i
$626$	6.60612	−	8.28381i	0.264034	−	0.331088i
$627$	7.26419	−	3.49825i	0.290104	−	0.139707i
$628$	−1.84142	−	2.30907i	−0.0734807	−	0.0921419i
$629$	24.5714	+	11.8330i	0.979725	+	0.471811i
$630$	7.96986	+	10.8289i	0.317527	+	0.431433i
$631$	−37.1666	+	17.8985i	−1.47958	+	0.712528i	−0.987441	−	0.157988i	$-0.949499\pi$
$631$	−37.1666	+	17.8985i	−1.47958	+	0.712528i	−0.492139	+	0.870517i	$0.663785\pi$
$632$	−35.1656	−	16.9349i	−1.39881	−	0.673633i
$633$	0.580417	+	2.54297i	0.0230695	+	0.101074i
$634$	−46.9260	−	22.5984i	−1.86367	−	0.897496i
$635$	−1.75681	+	2.20296i	−0.0697167	+	0.0874220i
$636$	−2.73787			−0.108564
$637$	−6.97901	−	0.541670i	−0.276518	−	0.0214618i
$638$	−6.36686			−0.252066
$639$	−13.2221	+	16.5800i	−0.523060	+	0.655897i
$640$	29.4774	+	14.1955i	1.16520	+	0.561128i
$641$	−3.05276	−	13.3750i	−0.120577	−	0.528282i	−0.998752	−	0.0499428i	$-0.984096\pi$
$641$	−3.05276	−	13.3750i	−0.120577	−	0.528282i	0.878175	−	0.478339i	$-0.158761\pi$
$642$	11.7599	+	5.66328i	0.464127	+	0.223512i
$643$	−11.9402	+	5.75008i	−0.470874	+	0.226761i	−0.654245	−	0.756283i	$-0.727013\pi$
$643$	−11.9402	+	5.75008i	−0.470874	+	0.226761i	0.183371	+	0.983044i	$0.441299\pi$
$644$	−1.25012	−	0.0484407i	−0.0492617	−	0.00190883i
$645$	16.6521	+	8.01923i	0.655676	+	0.315757i
$646$	−38.9857	−	48.8866i	−1.53387	−	1.92342i
$647$	25.2052	−	12.1382i	0.990920	−	0.477202i	0.133072	−	0.991106i	$-0.457516\pi$
$647$	25.2052	−	12.1382i	0.990920	−	0.477202i	0.857847	+	0.513905i	$0.171801\pi$
$648$	−5.31140	+	6.66029i	−0.208652	+	0.261641i
$649$	1.61882	−	7.09251i	0.0635442	−	0.278405i
$650$	1.41902	−	1.77940i	0.0556586	−	0.0697937i
$651$	−4.51498	−	6.13463i	−0.176956	−	0.240435i
$652$	−2.99464	−	3.75516i	−0.117279	−	0.147063i
$653$	22.4877	−	10.8295i	0.880010	−	0.423791i	0.0613819	−	0.998114i	$-0.480449\pi$
$653$	22.4877	−	10.8295i	0.880010	−	0.423791i	0.818628	+	0.574324i	$0.194735\pi$
$654$	4.95000	−	21.6874i	0.193560	−	0.848043i
$655$	19.2937			0.753866
$656$	23.1027			0.902010
$657$	4.39114	−	19.2389i	0.171315	−	0.750579i
$658$	−1.15414	+	4.28453i	−0.0449932	+	0.167028i
$659$	0.516344	+	2.26225i	0.0201139	+	0.0881248i	0.983989	−	0.178231i	$-0.0570375\pi$
$659$	0.516344	+	2.26225i	0.0201139	+	0.0881248i	−0.963875	+	0.266356i	$0.914180\pi$
$660$	0.137862	+	0.604013i	0.00536627	+	0.0235112i
$661$	−5.15933	−	6.46959i	−0.200675	−	0.251638i	0.671304	−	0.741182i	$-0.265735\pi$
$661$	−5.15933	−	6.46959i	−0.200675	−	0.251638i	−0.871978	+	0.489544i	$0.837163\pi$
$662$	−18.5602	−	23.2737i	−0.721362	−	0.904559i
$663$	1.66075	+	7.27620i	0.0644980	+	0.282584i
$664$	−3.06600	−	13.4330i	−0.118984	−	0.521302i
$665$	29.0803	+	39.5122i	1.12769	+	1.53222i
$666$	2.08662	−	9.14207i	0.0808548	−	0.354248i
$667$	10.7551			0.416439
$668$	−4.37617			−0.169319
$669$	0.985666	−	4.31848i	0.0381080	−	0.166962i
$670$	−44.3799	+	21.3722i	−1.71455	+	0.825682i
$671$	2.24474	+	2.81481i	0.0866571	+	0.108665i
$672$	−3.84854	+	1.67301i	−0.148461	+	0.0645378i
$673$	19.2151	−	24.0950i	0.740689	−	0.928794i	−0.258620	−	0.965979i	$-0.583268\pi$
$673$	19.2151	−	24.0950i	0.740689	−	0.928794i	0.999308	+	0.0371850i	$0.0118391\pi$
$674$	−8.36051	+	36.6298i	−0.322035	+	1.41093i
$675$	−5.32923	+	6.68265i	−0.205122	+	0.257215i
$676$	−0.196652	+	0.0947024i	−0.00756352	+	0.00364240i
$677$	−16.5085	−	20.7010i	−0.634473	−	0.795603i	0.355827	−	0.934552i	$-0.384199\pi$
$677$	−16.5085	−	20.7010i	−0.634473	−	0.795603i	−0.990300	+	0.138948i	$0.955628\pi$
$678$	8.70283	+	4.19106i	0.334230	+	0.160957i
$679$	−1.59470	−	0.845538i	−0.0611990	−	0.0324488i
$680$	−35.3376	+	17.0177i	−1.35514	+	0.652599i
$681$	−4.73120	−	2.27843i	−0.181300	−	0.0873095i
$682$	0.636810	+	2.79005i	0.0243847	+	0.106836i
$683$	−45.0628	−	21.7011i	−1.72428	−	0.830370i	−0.988143	−	0.153539i	$-0.950933\pi$
$683$	−45.0628	−	21.7011i	−1.72428	−	0.830370i	−0.736139	−	0.676831i	$-0.763353\pi$
$684$	−1.31896	+	1.65392i	−0.0504317	+	0.0632393i
$685$	−32.6648			−1.24806
$686$	23.2971	+	14.7685i	0.889489	+	0.563864i
$687$	−22.2392			−0.848480
$688$	15.3427	−	19.2392i	0.584936	−	0.733487i
$689$	−8.75965	−	4.21843i	−0.333716	−	0.160709i
$690$	−2.36679	−	10.3696i	−0.0901022	−	0.394764i
$691$	23.5558	+	11.3439i	0.896106	+	0.431542i	0.824481	−	0.565890i	$-0.191467\pi$
$691$	23.5558	+	11.3439i	0.896106	+	0.431542i	0.0716251	+	0.997432i	$0.477181\pi$
$692$	3.56805	−	1.71828i	0.135637	−	0.0653192i
$693$	−2.68798	−	1.42522i	−0.102108	−	0.0541395i
$694$	−17.0677	−	8.21936i	−0.647880	−	0.312003i
$695$	15.2664	+	19.1435i	0.579088	+	0.726154i
$696$	15.3137	−	7.37470i	0.580465	−	0.279537i
$697$	−18.9855	+	23.8071i	−0.719127	+	0.901757i
$698$	1.91197	−	8.37687i	0.0723690	−	0.317069i
$699$	−10.1784	+	12.7633i	−0.384983	+	0.482754i
$700$	−0.809288	+	0.351809i	−0.0305882	+	0.0132971i
$701$	27.1475	+	34.0419i	1.02535	+	1.28574i	0.957618	+	0.288040i	$0.0930035\pi$
$701$	27.1475	+	34.0419i	1.02535	+	1.28574i	0.0677277	+	0.997704i	$0.478425\pi$
$702$	7.50584	−	3.61462i	0.283290	−	0.136425i
$703$	7.61361	−	33.3574i	0.287153	−	1.25810i
$704$	−5.98174			−0.225445
$705$	−3.71193			−0.139799
$706$	−3.34026	+	14.6346i	−0.125712	+	0.550781i
$707$	−11.0278	−	14.9837i	−0.414742	−	0.563522i
$708$	−0.529406	−	2.31948i	−0.0198963	−	0.0871713i
$709$	10.7578	+	47.1330i	0.404018	+	1.77012i	0.610854	+	0.791743i	$0.290826\pi$
$709$	10.7578	+	47.1330i	0.404018	+	1.77012i	−0.206836	+	0.978376i	$0.566317\pi$
$710$	−37.6767	−	47.2451i	−1.41398	−	1.77308i
$711$	−12.2467	−	15.3568i	−0.459286	−	0.575926i
$712$	5.91959	+	25.9354i	0.221846	+	0.971971i
$713$	−1.07572	−	4.71304i	−0.0402861	−	0.176505i
$714$	7.64951	−	28.3973i	0.286276	−	1.06274i
$715$	−0.489564	+	2.14492i	−0.0183086	+	0.0802154i
$716$	1.92638			0.0719920
$717$	0.563255			0.0210351
$718$	−1.77628	+	7.78241i	−0.0662903	+	0.290437i
$719$	−11.2511	+	5.41825i	−0.419596	+	0.202067i	−0.631754	−	0.775169i	$-0.717665\pi$
$719$	−11.2511	+	5.41825i	−0.419596	+	0.202067i	0.212159	+	0.977235i	$0.431951\pi$
$720$	9.33700	+	11.7082i	0.347970	+	0.436340i
$721$	12.5934	+	17.1110i	0.469001	+	0.637245i
$722$	−31.2672	+	39.2078i	−1.16364	+	1.45916i
$723$	8.09728	−	35.4765i	0.301141	−	1.31939i
$724$	3.04673	−	3.82048i	0.113231	−	0.141987i
$725$	6.83497	−	3.29155i	0.253844	−	0.122245i
$726$	12.2905	+	15.4118i	0.456143	+	0.571985i
$727$	22.6909	+	10.9274i	0.841559	+	0.405274i	0.804438	−	0.594037i	$-0.202467\pi$
$727$	22.6909	+	10.9274i	0.841559	+	0.405274i	0.0371217	+	0.999311i	$0.488181\pi$
$728$	−7.01573	−	0.271851i	−0.260020	−	0.0100755i
$729$	−23.3682	+	11.2535i	−0.865489	+	0.416797i
$730$	50.6626	+	24.3978i	1.87511	+	0.903003i
$731$	7.21729	+	31.6210i	0.266941	+	1.16954i
$732$	1.06081	+	0.510858i	0.0392086	+	0.0188818i
$733$	6.83858	−	8.57531i	0.252589	−	0.316736i	−0.639330	−	0.768933i	$-0.720788\pi$
$733$	6.83858	−	8.57531i	0.252589	−	0.316736i	0.891918	+	0.452197i	$0.149359\pi$
$734$	21.8859			0.807824
$735$	−6.86004	+	22.0316i	−0.253037	+	0.812646i
$736$	−2.66334			−0.0981720
$737$	6.94945	−	8.71434i	0.255986	−	0.320997i
$738$	9.43310	+	4.54274i	0.347237	+	0.167221i
$739$	−1.67922	−	7.35716i	−0.0617713	−	0.270638i	0.934606	−	0.355686i	$-0.115753\pi$
$739$	−1.67922	−	7.35716i	−0.0617713	−	0.270638i	−0.996377	+	0.0850483i	$0.972896\pi$
$740$	2.36879	+	1.14075i	0.0870784	+	0.0419348i
$741$	8.43611	−	4.06262i	0.309908	−	0.149244i
$742$	22.7093	+	30.8558i	0.833686	+	1.13275i
$743$	−12.5435	−	6.04061i	−0.460175	−	0.221609i	0.189409	−	0.981898i	$-0.439343\pi$
$743$	−12.5435	−	6.04061i	−0.460175	−	0.221609i	−0.649584	+	0.760290i	$0.725057\pi$
$744$	−4.76337	−	5.97307i	−0.174634	−	0.218984i
$745$	0.292945	−	0.141075i	0.0107327	−	0.00516858i
$746$	17.4599	−	21.8941i	0.639253	−	0.801599i
$747$	1.54295	−	6.76011i	0.0564536	−	0.247339i
$748$	−0.677870	+	0.850022i	−0.0247854	+	0.0310799i
$749$	−3.31767	−	17.6628i	−0.121225	−	0.645386i
$750$	10.6278	+	13.3269i	0.388073	+	0.486628i
$751$	−44.3249	+	21.3458i	−1.61744	+	0.778918i	−0.999971	−	0.00767714i	$-0.997556\pi$
$751$	−44.3249	+	21.3458i	−1.61744	+	0.778918i	−0.617469	+	0.786595i	$0.711842\pi$
$752$	−1.09973	+	4.81821i	−0.0401029	+	0.175702i
$753$	24.6758			0.899235
$754$	−7.39402			−0.269274
$755$	2.17582	−	9.53290i	0.0791863	−	0.346938i
$756$	−3.22770	−	0.125070i	−0.117390	−	0.00454874i
$757$	−4.89762	−	21.4579i	−0.178007	−	0.779900i	−0.982549	−	0.186004i	$-0.940446\pi$
$757$	−4.89762	−	21.4579i	−0.178007	−	0.779900i	0.804542	−	0.593896i	$-0.202411\pi$
$758$	8.67925	+	38.0263i	0.315244	+	1.38118i
$759$	1.50059	+	1.88168i	0.0544681	+	0.0683008i
$760$	30.6801	+	38.4717i	1.11289	+	1.39551i
$761$	2.97272	+	13.0244i	0.107761	+	0.472133i	0.999797	+	0.0201672i	$0.00641984\pi$
$761$	2.97272	+	13.0244i	0.107761	+	0.472133i	−0.892035	+	0.451965i	$0.850723\pi$
$762$	−0.471548	−	2.06599i	−0.0170824	−	0.0748429i
$763$	−28.0894	+	12.2108i	−1.01690	+	0.442062i
$764$	−0.272066	+	1.19200i	−0.00984301	+	0.0431250i
$765$	−19.7382			−0.713637
$766$	−1.88257			−0.0680201
$767$	1.87998	−	8.23673i	0.0678821	−	0.297411i
$768$	−6.01926	+	2.89872i	−0.217201	+	0.104599i
$769$	−11.8766	−	14.8928i	−0.428282	−	0.537049i	0.520131	−	0.854087i	$-0.325883\pi$
$769$	−11.8766	−	14.8928i	−0.428282	−	0.537049i	−0.948413	+	0.317038i	$0.897312\pi$
$770$	5.66374	−	6.56371i	0.204107	−	0.236540i
$771$	−12.9320	+	16.2162i	−0.465733	+	0.584011i
$772$	−0.575078	+	2.51958i	−0.0206975	+	0.0906816i
$773$	−29.2492	+	36.6773i	−1.05202	+	1.31919i	−0.106256	+	0.994339i	$0.533886\pi$
$773$	−29.2492	+	36.6773i	−1.05202	+	1.31919i	−0.945764	+	0.324853i	$0.894685\pi$
$774$	10.0477	−	4.83870i	0.361156	−	0.173923i
$775$	−2.12603	−	2.66596i	−0.0763693	−	0.0957641i
$776$	−1.63112	−	0.785506i	−0.0585538	−	0.0281980i
$777$	14.7586	−	6.41577i	0.529462	−	0.230164i
$778$	−13.6709	+	6.58354i	−0.490124	+	0.236031i
$779$	34.4193	+	16.5755i	1.23320	+	0.593878i
$780$	0.160103	+	0.701458i	0.00573261	+	0.0251162i
$781$	12.3196	+	5.93282i	0.440831	+	0.212293i
$782$	11.6376	−	14.5930i	0.416158	−	0.521846i
$783$	27.7687			0.992374
$784$	26.5653	+	15.4318i	0.948761	+	0.551136i
$785$	−34.5724			−1.23394
$786$	−9.04701	+	11.3446i	−0.322696	+	0.404648i
$787$	33.0125	+	15.8980i	1.17677	+	0.566702i	0.916968	−	0.398960i	$-0.130629\pi$
$787$	33.0125	+	15.8980i	1.17677	+	0.566702i	0.259801	+	0.965662i	$0.416343\pi$
$788$	0.703458	+	3.08205i	0.0250597	+	0.109794i
$789$	13.0699	+	6.29413i	0.465301	+	0.224077i
$790$	50.4277	−	24.2847i	1.79414	−	0.864011i
$791$	−2.45521	−	13.0712i	−0.0872973	−	0.464759i
$792$	−2.74937	−	1.32403i	−0.0976947	−	0.0470473i
$793$	2.60688	+	3.26892i	0.0925729	+	0.116083i
$794$	28.7465	−	13.8436i	1.02018	−	0.491291i
$795$	−19.9824	+	25.0571i	−0.708703	+	0.888685i
$796$	0.773896	−	3.39066i	0.0274300	−	0.120179i
$797$	22.4071	−	28.0977i	0.793702	−	0.995271i	−0.206158	−	0.978519i	$-0.566096\pi$
$797$	22.4071	−	28.0977i	0.793702	−	0.995271i	0.999860	−	0.0167520i	$-0.00533258\pi$
$798$	−36.8691	−	1.42863i	−1.30515	−	0.0505731i
$799$	−4.06137	−	5.09280i	−0.143681	−	0.180170i
$800$	−1.69258	+	0.815102i	−0.0598416	+	0.0288182i
$801$	−2.97901	+	13.0519i	−0.105258	+	0.461166i
$802$	1.66574			0.0588194
$803$	−12.7239			−0.449018
$804$	0.811115	−	3.55373i	0.0286058	−	0.125330i
$805$	−9.56737	+	11.0876i	−0.337206	+	0.390788i
$806$	0.739546	+	3.24016i	0.0260494	+	0.114130i
$807$	−7.36778	−	32.2804i	−0.259358	−	1.13632i
$808$	−11.6344	−	14.5891i	−0.409298	−	0.513244i
$809$	18.8621	+	23.6523i	0.663156	+	0.831571i	0.993683	−	0.112226i	$-0.0357980\pi$
$809$	18.8621	+	23.6523i	0.663156	+	0.831571i	−0.330527	+	0.943796i	$0.607227\pi$
$810$	−2.71833	−	11.9098i	−0.0955123	−	0.418467i
$811$	10.5318	+	46.1429i	0.369822	+	1.62030i	0.727261	+	0.686361i	$0.240793\pi$
$811$	10.5318	+	46.1429i	0.369822	+	1.62030i	−0.357438	+	0.933937i	$0.616350\pi$
$812$	2.53287	+	1.34297i	0.0888865	+	0.0471292i
$813$	2.99797	−	13.1350i	0.105143	−	0.460663i
$814$	−6.04626			−0.211921
$815$	−56.2239			−1.96944
$816$	7.28884	−	31.9345i	0.255160	−	1.11793i
$817$	36.6617	−	17.6554i	1.28263	−	0.617683i
$818$	22.0639	+	27.6673i	0.771446	+	0.967363i
$819$	−3.12163	−	1.65515i	−0.109079	−	0.0578355i
$820$	−1.83028	+	2.29510i	−0.0639163	+	0.0801485i
$821$	−11.6659	+	51.1115i	−0.407141	+	1.78380i	0.190125	+	0.981760i	$0.439111\pi$
$821$	−11.6659	+	51.1115i	−0.407141	+	1.78380i	−0.597266	+	0.802043i	$0.703746\pi$
$822$	15.3169	−	19.2067i	0.534237	−	0.669912i
$823$	42.8733	−	20.6467i	1.49447	−	0.719698i	0.504822	−	0.863223i	$-0.331558\pi$
$823$	42.8733	−	20.6467i	1.49447	−	0.719698i	0.989647	+	0.143525i	$0.0458438\pi$
$824$	13.2862	+	16.6603i	0.462846	+	0.580390i
$825$	1.52952	+	0.736578i	0.0532510	+	0.0256444i
$826$	−21.7494	+	25.2054i	−0.756759	+	0.877008i
$827$	42.2468	−	20.3450i	1.46907	−	0.707465i	0.483279	−	0.875466i	$-0.339446\pi$
$827$	42.2468	−	20.3450i	1.46907	−	0.707465i	0.985787	+	0.168001i	$0.0537312\pi$
$828$	−0.568942	−	0.273988i	−0.0197721	−	0.00952175i
$829$	−9.87662	−	43.2723i	−0.343029	−	1.50291i	−0.792643	−	0.609686i	$-0.791296\pi$
$829$	−9.87662	−	43.2723i	−0.343029	−	1.50291i	0.449614	−	0.893223i	$-0.351561\pi$
$830$	17.8017	+	8.57285i	0.617906	+	0.297568i
$831$	7.12886	−	8.93931i	0.247298	−	0.310101i
$832$	−6.94677			−0.240836
$833$	−37.7333	+	14.6936i	−1.30738	+	0.509102i
$834$	−18.4149			−0.637655
$835$	−31.9396	+	40.0509i	−1.10531	+	1.38602i
$836$	1.22893	+	0.591821i	0.0425034	+	0.0204686i
$837$	−2.77742	−	12.1687i	−0.0960015	−	0.420610i
$838$	21.9266	+	10.5593i	0.757441	+	0.364764i
$839$	17.4784	−	8.41717i	0.603423	−	0.290593i	−0.107121	−	0.994246i	$-0.534163\pi$
$839$	17.4784	−	8.41717i	0.603423	−	0.290593i	0.710544	+	0.703653i	$0.248449\pi$
$840$	−6.01984	+	22.3475i	−0.207704	+	0.771061i
$841$	3.92277	+	1.88911i	0.135268	+	0.0651417i
$842$	−19.4411	−	24.3784i	−0.669984	−	0.840134i
$843$	16.1884	−	7.79594i	0.557559	−	0.268506i
$844$	−0.275130	+	0.345003i	−0.00947038	+	0.0118755i
$845$	−0.568544	+	2.49096i	−0.0195585	+	0.0856915i
$846$	−1.39645	+	1.75109i	−0.0480108	+	0.0602037i
$847$	7.05960	−	26.2073i	0.242571	−	0.900495i
$848$	26.6049	+	33.3615i	0.913616	+	1.14564i
$849$	29.6692	−	14.2879i	1.01824	−	0.490361i
$850$	2.92965	−	12.8356i	0.100486	−	0.440258i
$851$	10.2135			0.350116
$852$	4.47176			0.153200
$853$	−10.6558	+	46.6860i	−0.364847	+	1.59850i	0.375865	+	0.926674i	$0.377345\pi$
$853$	−10.6558	+	46.6860i	−0.364847	+	1.59850i	−0.740712	+	0.671823i	$0.765512\pi$
$854$	−3.04152	−	16.1927i	−0.104079	−	0.554101i
$855$	5.51035	+	24.1424i	0.188450	+	0.825653i
$856$	−4.01108	−	17.5737i	−0.137096	−	0.600656i
$857$	−19.7333	−	24.7448i	−0.674076	−	0.845265i	0.320717	−	0.947175i	$-0.396076\pi$
$857$	−19.7333	−	24.7448i	−0.674076	−	0.845265i	−0.994794	+	0.101910i	$0.967505\pi$
$858$	−1.03164	−	1.29364i	−0.0352196	−	0.0441640i
$859$	3.02855	+	13.2689i	0.103333	+	0.452731i	0.999951	+	0.00992565i	$0.00315948\pi$
$859$	3.02855	+	13.2689i	0.103333	+	0.452731i	−0.896618	+	0.442805i	$0.853983\pi$
$860$	0.695778	+	3.04840i	0.0237258	+	0.103950i
$861$	3.31702	+	17.6594i	0.113044	+	0.601830i
$862$	−9.86109	+	43.2043i	−0.335870	+	1.47154i
$863$	27.1488			0.924156			0.462078	−	0.886839i	$-0.347104\pi$
$863$	27.1488			0.924156			0.462078	+	0.886839i	$0.347104\pi$
$864$	−6.87651			−0.233944
$865$	10.3157	−	45.1959i	0.350743	−	1.53671i
$866$	−17.1788	+	8.27288i	−0.583760	+	0.281124i
$867$	13.2433	+	16.6065i	0.449765	+	0.563987i
$868$	0.335174	−	1.24427i	0.0113765	−	0.0422331i
$869$	−7.89647	+	9.90186i	−0.267869	+	0.335898i
$870$	−5.42366	+	23.7626i	−0.183879	+	0.805628i
$871$	8.07060	−	10.1202i	0.273462	−	0.342910i
$872$	−27.6783	+	13.3292i	−0.937305	+	0.451382i
$873$	−0.568049	−	0.712311i	−0.0192255	−	0.0241081i
$874$	−21.0981	−	10.1603i	−0.713652	−	0.343677i
$875$	6.10456	−	22.6620i	0.206372	−	0.766115i
$876$	−3.74906	+	1.80545i	−0.126669	+	0.0610005i
$877$	22.6431	+	10.9043i	0.764602	+	0.368213i	0.775188	−	0.631731i	$-0.217655\pi$
$877$	22.6431	+	10.9043i	0.764602	+	0.368213i	−0.0105858	+	0.999944i	$0.503370\pi$
$878$	2.14182	+	9.38394i	0.0722831	+	0.316693i
$879$	−22.4518	−	10.8122i	−0.757281	−	0.364687i
$880$	6.02036	−	7.54930i	0.202946	−	0.254487i
$881$	6.80629			0.229310			0.114655	−	0.993405i	$-0.463424\pi$
$881$	6.80629			0.229310			0.114655	+	0.993405i	$0.463424\pi$
$882$	7.81252	+	11.5246i	0.263061	+	0.388053i
$883$	−1.94856			−0.0655741			−0.0327871	−	0.999462i	$-0.510438\pi$
$883$	−1.94856			−0.0655741			−0.0327871	+	0.999462i	$0.510438\pi$
$884$	−0.787230	+	0.987155i	−0.0264774	+	0.0332016i
$885$	−25.0919	−	12.0836i	−0.843455	−	0.406186i
$886$	3.41095	+	14.9444i	0.114593	+	0.502066i
$887$	40.8101	+	19.6531i	1.37027	+	0.659886i	0.966901	−	0.255152i	$-0.0821254\pi$
$887$	40.8101	+	19.6531i	1.37027	+	0.659886i	0.403367	+	0.915038i	$0.367840\pi$
$888$	14.5426	−	7.00335i	0.488018	−	0.235017i
$889$	−1.90616	+	2.20905i	−0.0639305	+	0.0740891i
$890$	−34.3701	−	16.5518i	−1.15209	−	0.554817i
$891$	1.72347	+	2.16117i	0.0577385	+	0.0724018i
$892$	0.675163	−	0.325141i	0.0226061	−	0.0108865i
$893$	−5.09533	+	6.38934i	−0.170509	+	0.213811i
$894$	−0.0544136	+	0.238402i	−0.00181986	+	0.00797335i
$895$	14.0597	−	17.6303i	0.469964	−	0.589316i
$896$	29.9321	+	15.8705i	0.999962	+	0.530198i
$897$	1.74268	+	2.18525i	0.0581864	+	0.0729635i
$898$	−17.6197	+	8.48519i	−0.587976	+	0.283154i
$899$	−2.46509	+	10.8002i	−0.0822152	+	0.360208i
$900$	−0.445421			−0.0148474
$901$	−56.2421			−1.87370
$902$	1.50221	−	6.58161i	0.0500181	−	0.219144i
$903$	16.9090	+	8.96546i	0.562697	+	0.298352i
$904$	−2.96836	−	13.0052i	−0.0987262	−	0.432548i
$905$	−12.7286	−	55.7678i	−0.423114	−	1.85378i
$906$	4.58504	+	5.74946i	0.152328	+	0.191013i
$907$	27.1490	+	34.0438i	0.901469	+	1.13041i	0.990925	+	0.134416i	$0.0429158\pi$
$907$	27.1490	+	34.0438i	0.901469	+	1.13041i	−0.0894558	+	0.995991i	$0.528513\pi$
$908$	−0.197684	−	0.866112i	−0.00656039	−	0.0287429i
$909$	−2.08962	−	9.15522i	−0.0693083	−	0.303660i
$910$	6.57746	−	7.62263i	0.218041	−	0.252688i
$911$	6.48868	−	28.4288i	0.214980	−	0.941888i	−0.746147	−	0.665781i	$-0.768099\pi$
$911$	6.48868	−	28.4288i	0.214980	−	0.941888i	0.961127	−	0.276107i	$-0.0890443\pi$
$912$	−41.0948			−1.36079
$913$	−4.47091			−0.147966
$914$	4.88768	−	21.4143i	0.161670	−	0.708322i
$915$	12.4177	−	5.98006i	0.410518	−	0.197695i
$916$	−2.34579	−	2.94153i	−0.0775071	−	0.0971909i
$917$	19.9638	+	0.773576i	0.659264	+	0.0255457i
$918$	30.0472	−	37.6779i	0.991704	−	1.24356i
$919$	3.90663	−	17.1161i	0.128868	−	0.564607i	−0.868727	−	0.495291i	$-0.835061\pi$
$919$	3.90663	−	17.1161i	0.128868	−	0.564607i	0.997595	−	0.0693154i	$-0.0220815\pi$
$920$	−9.15827	+	11.4841i	−0.301939	+	0.378620i
$921$	28.2040	−	13.5823i	0.929355	−	0.447554i
$922$	−1.84119	−	2.30878i	−0.0606364	−	0.0760356i
$923$	14.3071	+	6.88995i	0.470925	+	0.226786i
$924$	0.118433	+	0.630522i	0.00389616	+	0.0207426i
$925$	6.49080	−	3.12580i	0.213416	−	0.102776i
$926$	6.10532	+	2.94017i	0.200633	+	0.0966199i
$927$	2.38628	+	10.4550i	0.0783757	+	0.343387i
$928$	5.49881	+	2.64809i	0.180507	+	0.0869278i
$929$	10.8462	−	13.6007i	0.355852	−	0.446224i	−0.571395	−	0.820675i	$-0.693598\pi$
$929$	10.8462	−	13.6007i	0.355852	−	0.446224i	0.927247	+	0.374451i	$0.122169\pi$
$930$	10.9556			0.359248
$931$	28.5062	+	42.0507i	0.934253	+	1.37816i
$932$	−2.76179			−0.0904655
$933$	−0.441463	+	0.553577i	−0.0144529	+	0.0181233i
$934$	−2.25759	−	1.08720i	−0.0738705	−	0.0355741i
$935$	2.83200	+	12.4078i	0.0926164	+	0.405779i
$936$	−3.19293	−	1.53763i	−0.104364	−	0.0502591i
$937$	−19.7257	+	9.49937i	−0.644409	+	0.310331i	−0.727394	−	0.686220i	$-0.759269\pi$
$937$	−19.7257	+	9.49937i	−0.644409	+	0.310331i	0.0829853	+	0.996551i	$0.473555\pi$
$938$	−46.7784	+	20.3352i	−1.52737	+	0.663969i
$939$	8.26927	+	3.98227i	0.269858	+	0.129957i
$940$	−0.391534	−	0.490968i	−0.0127704	−	0.0160136i
$941$	9.04843	−	4.35749i	0.294970	−	0.142050i	−0.280546	−	0.959841i	$-0.590515\pi$
$941$	9.04843	−	4.35749i	0.294970	−	0.142050i	0.575516	+	0.817790i	$0.304801\pi$
$942$	16.2114	−	20.3284i	0.528195	−	0.662336i
$943$	−2.53758	+	11.1179i	−0.0826350	+	0.362048i
$944$	−23.1189	+	28.9902i	−0.752455	+	0.943549i
$945$	−24.7021	+	28.6273i	−0.803560	+	0.931246i
$946$	−4.48332	−	5.62190i	−0.145765	−	0.182784i
$947$	46.5490	−	22.4168i	1.51264	−	0.728449i	0.520532	−	0.853842i	$-0.325733\pi$
$947$	46.5490	−	22.4168i	1.51264	−	0.728449i	0.992107	+	0.125393i	$0.0400192\pi$
$948$	−0.921648	+	4.03800i	−0.0299337	+	0.131148i
$949$	−14.7767			−0.479672
$950$	−16.5175			−0.535899
$951$	10.0396	−	43.9863i	0.325556	−	1.42635i
$952$	−37.2475	+	16.1920i	−1.20720	+	0.524785i
$953$	−3.52540	−	15.4458i	−0.114199	−	0.500338i	−0.999384	−	0.0350989i	$-0.988825\pi$
$953$	−3.52540	−	15.4458i	−0.114199	−	0.500338i	0.885185	−	0.465239i	$-0.154032\pi$
$954$	4.30313	+	18.8532i	0.139319	+	0.610396i
$955$	8.92357	+	11.1898i	0.288760	+	0.362094i
$956$	0.0594121	+	0.0745004i	0.00192152	+	0.00240951i
$957$	−1.22726	−	5.37698i	−0.0396717	−	0.173813i
$958$	2.36620	+	10.3670i	0.0764485	+	0.334943i
$959$	−33.7994	−	1.30969i	−1.09144	−	0.0422920i
$960$	−5.09559	+	22.3253i	−0.164460	+	0.720545i
$961$	−26.0206			−0.839375
$962$	−7.02170			−0.226389
$963$	2.01856	−	8.84388i	0.0650471	−	0.284990i
$964$	5.54649	−	2.67105i	0.178640	−	0.0860287i
$965$	18.8621	+	23.6524i	0.607193	+	0.761396i
$966$	−2.03324	−	10.8247i	−0.0654184	−	0.348279i
$967$	−9.25448	+	11.6048i	−0.297604	+	0.373184i	−0.908041	−	0.418881i	$-0.862422\pi$
$967$	−9.25448	+	11.6048i	−0.297604	+	0.373184i	0.610437	+	0.792065i	$0.290994\pi$
$968$	6.05767	−	26.5404i	0.194701	−	0.853041i
$969$	33.7712	−	42.3477i	1.08489	−	1.36041i
$970$	2.33904	−	1.12642i	0.0751019	−	0.0361672i
$971$	−4.53662	−	5.68874i	−0.145587	−	0.182560i	0.703691	−	0.710506i	$-0.251534\pi$
$971$	−4.53662	−	5.68874i	−0.145587	−	0.182560i	−0.849278	+	0.527946i	$0.822962\pi$
$972$	−2.48543	−	1.19692i	−0.0797203	−	0.0383913i
$973$	15.0292	+	20.4206i	0.481813	+	0.654653i
$974$	6.31605	−	3.04165i	0.202379	−	0.0974608i
$975$	1.77628	+	0.855409i	0.0568863	+	0.0273950i
$976$	−4.08336	−	17.8904i	−0.130705	−	0.572656i
$977$	−37.8712	−	18.2378i	−1.21161	−	0.583479i	−0.284645	−	0.958633i	$-0.591876\pi$
$977$	−37.8712	−	18.2378i	−1.21161	−	0.583479i	−0.926963	+	0.375154i	$0.877590\pi$
$978$	26.3640	−	33.0594i	0.843027	−	1.05712i
$979$	8.63209			0.275883
$980$	−3.63766	+	1.41652i	−0.116201	+	0.0452492i
$981$	−15.4600			−0.493600
$982$	6.96533	−	8.73425i	0.222273	−	0.278721i
$983$	−43.9765	−	21.1780i	−1.40263	−	0.675473i	−0.428940	−	0.903333i	$-0.641113\pi$
$983$	−43.9765	−	21.1780i	−1.40263	−	0.675473i	−0.973694	+	0.227860i	$0.926827\pi$
$984$	4.01029	+	17.5702i	0.127843	+	0.560119i
$985$	33.3413	+	16.0563i	1.06234	+	0.511598i
$986$	−38.5367	+	18.5583i	−1.22726	+	0.591017i
$987$	−3.84087	−	0.148829i	−0.122256	−	0.00473728i
$988$	1.42719	+	0.687299i	0.0454050	+	0.0218659i
$989$	7.57336	+	9.49670i	0.240819	+	0.301977i
$990$	3.94262	−	1.89866i	0.125305	−	0.0603435i
$991$	22.7510	−	28.5289i	0.722710	−	0.906250i	−0.275778	−	0.961221i	$-0.588935\pi$
$991$	22.7510	−	28.5289i	0.722710	−	0.906250i	0.998488	+	0.0549718i	$0.0175069\pi$
$992$	0.610441	−	2.67452i	0.0193815	−	0.0849161i
$993$	16.0777	−	20.1608i	0.510209	−	0.639782i
$994$	−37.0912	−	50.3968i	−1.17646	−	1.59849i
$995$	−25.3832	−	31.8296i	−0.804702	−	1.00906i
$996$	−1.31734	+	0.634396i	−0.0417414	+	0.0201016i
$997$	−1.20494	+	5.27921i	−0.0381610	+	0.167194i	−0.990418	−	0.138104i	$-0.955899\pi$
$997$	−1.20494	+	5.27921i	−0.0381610	+	0.167194i	0.952257	+	0.305298i	$0.0987562\pi$
$998$	−28.4729			−0.901293
$999$	26.3705			0.834324

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	637.2.w.a.92.7	✓	162
49.8	even	7	inner	637.2.w.a.547.7	yes	162

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
637.2.w.a.92.7	✓	162	1.1	even	1	trivial
637.2.w.a.547.7	yes	162	49.8	even	7	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:	\( N \)	\(=\)	\( 637 = 7^{2} \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	637.w (of order \(7\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.928616 + 1.16445i) q^{2} +(-1.16240 - 0.559785i) q^{3} +(-0.0485689 - 0.212794i) q^{4} +(-2.30199 - 1.10858i) q^{5} +(1.73127 - 0.833735i) q^{6} +(-2.33750 - 1.23939i) q^{7} +(-2.39089 - 1.15139i) q^{8} +(-0.832643 - 1.04410i) q^{9} +O(q^{10})\)	\(q+(-0.928616 + 1.16445i) q^{2} +(-1.16240 - 0.559785i) q^{3} +(-0.0485689 - 0.212794i) q^{4} +(-2.30199 - 1.10858i) q^{5} +(1.73127 - 0.833735i) q^{6} +(-2.33750 - 1.23939i) q^{7} +(-2.39089 - 1.15139i) q^{8} +(-0.832643 - 1.04410i) q^{9} +(3.42855 - 1.65110i) q^{10} +(-0.536876 + 0.673221i) q^{11} +(-0.0626623 + 0.274541i) q^{12} +(-0.623490 + 0.781831i) q^{13} +(3.61384 - 1.57099i) q^{14} +(2.05528 + 2.57724i) q^{15} +(3.95426 - 1.90427i) q^{16} +(-1.28723 + 5.63971i) q^{17} +1.98901 q^{18} +7.25746 q^{19} +(-0.124094 + 0.543693i) q^{20} +(2.02334 + 2.74917i) q^{21} +(-0.285379 - 1.25033i) q^{22} +(0.482072 + 2.11210i) q^{23} +(2.13465 + 2.67677i) q^{24} +(0.952757 + 1.19472i) q^{25} +(-0.331419 - 1.45204i) q^{26} +(1.24467 + 5.45324i) q^{27} +(-0.150204 + 0.557603i) q^{28} +(1.10470 - 4.84001i) q^{29} -4.90962 q^{30} -2.23145 q^{31} +(-0.273562 + 1.19856i) q^{32} +(1.00093 - 0.482021i) q^{33} +(-5.37181 - 6.73604i) q^{34} +(4.00695 + 5.44436i) q^{35} +(-0.181738 + 0.227893i) q^{36} +(1.04907 - 4.59629i) q^{37} +(-6.73940 + 8.45094i) q^{38} +(1.16240 - 0.559785i) q^{39} +(4.22739 + 5.30098i) q^{40} +(4.74261 + 2.28392i) q^{41} +(-5.08016 - 0.196850i) q^{42} +(5.05159 - 2.43272i) q^{43} +(0.169333 + 0.0815466i) q^{44} +(0.759266 + 3.32656i) q^{45} +(-2.90708 - 1.39998i) q^{46} +(-0.702082 + 0.880383i) q^{47} -5.66243 q^{48} +(3.92785 + 5.79414i) q^{49} -2.27594 q^{50} +(4.65331 - 5.83506i) q^{51} +(0.196652 + 0.0947024i) q^{52} +(2.16346 + 9.47872i) q^{53} +(-7.50584 - 3.61462i) q^{54} +(1.98220 - 0.954579i) q^{55} +(4.16169 + 5.65461i) q^{56} +(-8.43611 - 4.06262i) q^{57} +(4.61010 + 5.78088i) q^{58} +(-7.61188 + 3.66569i) q^{59} +(0.448599 - 0.562525i) q^{60} +(0.930384 - 4.07628i) q^{61} +(2.07216 - 2.59841i) q^{62} +(0.652262 + 3.47256i) q^{63} +(4.33124 + 5.43120i) q^{64} +(2.30199 - 1.10858i) q^{65} +(-0.368188 + 1.61314i) q^{66} -12.9442 q^{67} +1.26262 q^{68} +(0.621956 - 2.72497i) q^{69} +(-10.0606 - 0.389836i) q^{70} +(-3.53357 - 15.4816i) q^{71} +(0.788588 + 3.45503i) q^{72} +(9.21311 + 11.5529i) q^{73} +(4.37796 + 5.48978i) q^{74} +(-0.438704 - 1.92209i) q^{75} +(-0.352487 - 1.54435i) q^{76} +(2.08933 - 0.908261i) q^{77} +(-0.427588 + 1.87338i) q^{78} +14.7082 q^{79} -11.2137 q^{80} +(0.714334 - 3.12970i) q^{81} +(-7.06358 + 3.40164i) q^{82} +(3.23728 + 4.05943i) q^{83} +(0.486736 - 0.564079i) q^{84} +(9.21526 - 11.5556i) q^{85} +(-1.85822 + 8.14138i) q^{86} +(-3.99347 + 5.00766i) q^{87} +(2.05875 - 0.991443i) q^{88} +(-6.25029 - 7.83762i) q^{89} +(-4.57868 - 2.20497i) q^{90} +(2.42640 - 1.05479i) q^{91} +(0.426028 - 0.205164i) q^{92} +(2.59385 + 1.24913i) q^{93} +(-0.373195 - 1.63508i) q^{94} +(-16.7066 - 8.04547i) q^{95} +(0.988923 - 1.24007i) q^{96} +0.682224 q^{97} +(-10.3944 - 0.806756i) q^{98} +1.14994 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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