LMFDB - Embedded newform 637.2.w.a.92.3

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			92.3
Character	$\chi$	$=$	637.92
Dual form			637.2.w.a.547.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.55889 + 1.95478i) q^{2} +(1.69142 + 0.814547i) q^{3} +(-0.946002 - 4.14471i) q^{4} +(0.780772 + 0.376000i) q^{5} +(-4.22900 + 2.03658i) q^{6} +(-1.80494 + 1.93447i) q^{7} +(5.07139 + 2.44225i) q^{8} +(0.326959 + 0.409994i) q^{9} +O(q^{10})$	\(q+(-1.55889 + 1.95478i) q^{2} +(1.69142 + 0.814547i) q^{3} +(-0.946002 - 4.14471i) q^{4} +(0.780772 + 0.376000i) q^{5} +(-4.22900 + 2.03658i) q^{6} +(-1.80494 + 1.93447i) q^{7} +(5.07139 + 2.44225i) q^{8} +(0.326959 + 0.409994i) q^{9} +(-1.95213 + 0.940098i) q^{10} +(-1.66333 + 2.08575i) q^{11} +(1.77597 - 7.78102i) q^{12} +(-0.623490 + 0.781831i) q^{13} +(-0.967776 - 6.54389i) q^{14} +(1.01435 + 1.27195i) q^{15} +(-5.01922 + 2.41713i) q^{16} +(-1.27447 + 5.58381i) q^{17} -1.31114 q^{18} +3.18753 q^{19} +(0.819798 - 3.59177i) q^{20} +(-4.62864 + 1.80181i) q^{21} +(-1.48424 - 6.50290i) q^{22} +(0.742658 + 3.25380i) q^{23} +(6.58854 + 8.26177i) q^{24} +(-2.64922 - 3.32202i) q^{25} +(-0.556360 - 2.43757i) q^{26} +(-1.03417 - 4.53101i) q^{27} +(9.72530 + 5.65093i) q^{28} +(0.819614 - 3.59096i) q^{29} -4.06764 q^{30} -6.46065 q^{31} +(0.594375 - 2.60413i) q^{32} +(-4.51234 + 2.17303i) q^{33} +(-8.92838 - 11.1958i) q^{34} +(-2.13661 + 0.831726i) q^{35} +(1.39000 - 1.74301i) q^{36} +(-2.29076 + 10.0365i) q^{37} +(-4.96899 + 6.23092i) q^{38} +(-1.69142 + 0.814547i) q^{39} +(3.04131 + 3.81369i) q^{40} +(2.28657 + 1.10115i) q^{41} +(3.69338 - 11.8568i) q^{42} +(-10.2816 + 4.95136i) q^{43} +(10.2183 + 4.92089i) q^{44} +(0.101123 + 0.443049i) q^{45} +(-7.51818 - 3.62057i) q^{46} +(-2.45118 + 3.07369i) q^{47} -10.4585 q^{48} +(-0.484378 - 6.98322i) q^{49} +10.6236 q^{50} +(-6.70394 + 8.40648i) q^{51} +(3.83028 + 1.84457i) q^{52} +(-0.272240 - 1.19276i) q^{53} +(10.4693 + 5.04175i) q^{54} +(-2.08293 + 1.00308i) q^{55} +(-13.8780 + 5.40235i) q^{56} +(5.39146 + 2.59639i) q^{57} +(5.74186 + 7.20007i) q^{58} +(9.54284 - 4.59559i) q^{59} +(4.31229 - 5.40744i) q^{60} +(0.889152 - 3.89563i) q^{61} +(10.0714 - 12.6292i) q^{62} +(-1.38327 - 0.107521i) q^{63} +(-2.78289 - 3.48963i) q^{64} +(-0.780772 + 0.376000i) q^{65} +(2.78643 - 12.2081i) q^{66} -0.826884 q^{67} +24.3489 q^{68} +(-1.39422 + 6.10848i) q^{69} +(1.70489 - 5.47317i) q^{70} +(-0.190895 - 0.836366i) q^{71} +(0.656829 + 2.87776i) q^{72} +(-2.52288 - 3.16359i) q^{73} +(-16.0481 - 20.1236i) q^{74} +(-1.77502 - 7.77685i) q^{75} +(-3.01541 - 13.2114i) q^{76} +(-1.03262 - 6.98233i) q^{77} +(1.04448 - 4.57615i) q^{78} +12.3495 q^{79} -4.82771 q^{80} +(2.29157 - 10.0400i) q^{81} +(-5.71702 + 2.75317i) q^{82} +(8.99222 + 11.2759i) q^{83} +(11.8467 + 17.4798i) q^{84} +(-3.09458 + 3.88049i) q^{85} +(6.34903 - 27.8169i) q^{86} +(4.31132 - 5.40623i) q^{87} +(-13.5293 + 6.51539i) q^{88} +(6.88018 + 8.62747i) q^{89} +(-1.02370 - 0.492989i) q^{90} +(-0.387070 - 2.61728i) q^{91} +(12.7835 - 6.15620i) q^{92} +(-10.9277 - 5.26251i) q^{93} +(-2.18727 - 9.58305i) q^{94} +(2.48873 + 1.19851i) q^{95} +(3.12652 - 3.92053i) q^{96} -3.75889 q^{97} +(14.4058 + 9.93919i) q^{98} -1.39899 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 $

$2$	−1.55889	+	1.95478i	−1.10230	+	1.38224i	−0.185616	+	0.982622i	$0.559428\pi$
$2$	−1.55889	+	1.95478i	−1.10230	+	1.38224i	−0.916682	+	0.399617i	$0.869143\pi$
$3$	1.69142	+	0.814547i	0.976544	+	0.470279i	0.852915	−	0.522050i	$-0.174832\pi$
$3$	1.69142	+	0.814547i	0.976544	+	0.470279i	0.123629	+	0.992329i	$0.460547\pi$
$4$	−0.946002	−	4.14471i	−0.473001	−	2.07235i
$5$	0.780772	+	0.376000i	0.349172	+	0.168152i	0.600246	−	0.799816i	$-0.295069\pi$
$5$	0.780772	+	0.376000i	0.349172	+	0.168152i	−0.251074	+	0.967968i	$0.580784\pi$
$6$	−4.22900	+	2.03658i	−1.72648	+	0.831430i
$7$	−1.80494	+	1.93447i	−0.682203	+	0.731162i
$7$	−1.80494	+	1.93447i	−0.682203	+	0.731162i
$8$	5.07139	+	2.44225i	1.79301	+	0.863467i
$9$	0.326959	+	0.409994i	0.108986	+	0.136665i
$10$	−1.95213	+	0.940098i	−0.617319	+	0.297285i
$11$	−1.66333	+	2.08575i	−0.501513	+	0.628878i	−0.966570	−	0.256403i	$-0.917463\pi$
$11$	−1.66333	+	2.08575i	−0.501513	+	0.628878i	0.465057	+	0.885281i	$0.346034\pi$
$12$	1.77597	−	7.78102i	0.512677	−	2.24619i
$13$	−0.623490	+	0.781831i	−0.172925	+	0.216841i
$13$	−0.623490	+	0.781831i	−0.172925	+	0.216841i
$14$	−0.967776	−	6.54389i	−0.258649	−	1.74893i
$15$	1.01435	+	1.27195i	0.261903	+	0.328416i
$16$	−5.01922	+	2.41713i	−1.25481	+	0.604283i
$17$	−1.27447	+	5.58381i	−0.309104	+	1.35427i	0.546854	+	0.837228i	$0.315825\pi$
$17$	−1.27447	+	5.58381i	−0.309104	+	1.35427i	−0.855958	+	0.517045i	$0.827032\pi$
$18$	−1.31114			−0.309039
$19$	3.18753			0.731269			0.365634	−	0.930759i	$-0.380852\pi$
$19$	3.18753			0.731269			0.365634	+	0.930759i	$0.380852\pi$
$20$	0.819798	−	3.59177i	0.183312	−	0.803144i
$21$	−4.62864	+	1.80181i	−1.01005	+	0.393186i
$22$	−1.48424	−	6.50290i	−0.316442	−	1.38642i
$23$	0.742658	+	3.25380i	0.154855	+	0.678464i	0.991433	+	0.130616i	$0.0416956\pi$
$23$	0.742658	+	3.25380i	0.154855	+	0.678464i	−0.836578	+	0.547848i	$0.815447\pi$
$24$	6.58854	+	8.26177i	1.34488	+	1.68643i
$25$	−2.64922	−	3.32202i	−0.529844	−	0.664403i
$26$	−0.556360	−	2.43757i	−0.109111	−	0.478047i
$27$	−1.03417	−	4.53101i	−0.199027	−	0.871994i
$28$	9.72530	+	5.65093i	1.83791	+	1.06793i
$29$	0.819614	−	3.59096i	0.152199	−	0.666825i	−0.840045	−	0.542517i	$-0.817472\pi$
$29$	0.819614	−	3.59096i	0.152199	−	0.666825i	0.992244	−	0.124309i	$-0.0396713\pi$
$30$	−4.06764			−0.742646
$31$	−6.46065			−1.16037			−0.580184	−	0.814485i	$-0.697019\pi$
$31$	−6.46065			−1.16037			−0.580184	+	0.814485i	$0.697019\pi$
$32$	0.594375	−	2.60413i	0.105072	−	0.460349i
$33$	−4.51234	+	2.17303i	−0.785498	+	0.378276i
$34$	−8.92838	−	11.1958i	−1.53120	−	1.92007i
$35$	−2.13661	+	0.831726i	−0.361153	+	0.140587i
$36$	1.39000	−	1.74301i	0.231667	−	0.290501i
$37$	−2.29076	+	10.0365i	−0.376598	+	1.64999i	0.331192	+	0.943563i	$0.392549\pi$
$37$	−2.29076	+	10.0365i	−0.376598	+	1.64999i	−0.707791	+	0.706422i	$0.750308\pi$
$38$	−4.96899	+	6.23092i	−0.806077	+	1.01079i
$39$	−1.69142	+	0.814547i	−0.270845	+	0.130432i
$40$	3.04131	+	3.81369i	0.480874	+	0.602997i
$41$	2.28657	+	1.10115i	0.357102	+	0.171971i	0.603829	−	0.797114i	$-0.293641\pi$
$41$	2.28657	+	1.10115i	0.357102	+	0.171971i	−0.246727	+	0.969085i	$0.579355\pi$
$42$	3.69338	−	11.8568i	0.569902	−	1.82954i
$43$	−10.2816	+	4.95136i	−1.56793	+	0.755076i	−0.997788	−	0.0664695i	$-0.978827\pi$
$43$	−10.2816	+	4.95136i	−1.56793	+	0.755076i	−0.570143	+	0.821545i	$0.693112\pi$
$44$	10.2183	+	4.92089i	1.54047	+	0.741853i
$45$	0.101123	+	0.443049i	0.0150745	+	0.0660458i
$46$	−7.51818	−	3.62057i	−1.10850	−	0.533823i
$47$	−2.45118	+	3.07369i	−0.357542	+	0.448343i	−0.927775	−	0.373139i	$-0.878281\pi$
$47$	−2.45118	+	3.07369i	−0.357542	+	0.448343i	0.570233	+	0.821483i	$0.306853\pi$
$48$	−10.4585			−1.50955
$49$	−0.484378	−	6.98322i	−0.0691968	−	0.997603i
$50$	10.6236			1.50241
$51$	−6.70394	+	8.40648i	−0.938740	+	1.17714i
$52$	3.83028	+	1.84457i	0.531165	+	0.255796i
$53$	−0.272240	−	1.19276i	−0.0373951	−	0.163839i	0.952783	−	0.303653i	$-0.0982065\pi$
$53$	−0.272240	−	1.19276i	−0.0373951	−	0.163839i	−0.990178	+	0.139815i	$0.955349\pi$
$54$	10.4693	+	5.04175i	1.42469	+	0.686095i
$55$	−2.08293	+	1.00308i	−0.280862	+	0.135256i
$56$	−13.8780	+	5.40235i	−1.85453	+	0.721919i
$57$	5.39146	+	2.59639i	0.714116	+	0.343900i
$58$	5.74186	+	7.20007i	0.753944	+	0.945416i
$59$	9.54284	−	4.59559i	1.24237	−	0.598295i	0.306916	−	0.951737i	$-0.400703\pi$
$59$	9.54284	−	4.59559i	1.24237	−	0.598295i	0.935456	+	0.353442i	$0.114989\pi$
$60$	4.31229	−	5.40744i	0.556714	−	0.698098i
$61$	0.889152	−	3.89563i	0.113844	−	0.498784i	−0.885568	−	0.464509i	$-0.846231\pi$
$61$	0.889152	−	3.89563i	0.113844	−	0.498784i	0.999412	−	0.0342749i	$-0.0109122\pi$
$62$	10.0714	−	12.6292i	1.27907	−	1.60391i
$63$	−1.38327	−	0.107521i	−0.174275	−	0.0135463i
$64$	−2.78289	−	3.48963i	−0.347861	−	0.436204i
$65$	−0.780772	+	0.376000i	−0.0968429	+	0.0466371i
$66$	2.78643	−	12.2081i	0.342986	−	1.50272i
$67$	−0.826884			−0.101020			−0.0505100	−	0.998724i	$-0.516085\pi$
$67$	−0.826884			−0.101020			−0.0505100	+	0.998724i	$0.516085\pi$
$68$	24.3489			2.95274
$69$	−1.39422	+	6.10848i	−0.167845	+	0.735375i
$70$	1.70489	−	5.47317i	0.203773	−	0.654169i
$71$	−0.190895	−	0.836366i	−0.0226551	−	0.0992583i	0.962336	−	0.271862i	$-0.0876393\pi$
$71$	−0.190895	−	0.836366i	−0.0226551	−	0.0992583i	−0.984991	+	0.172603i	$0.944782\pi$
$72$	0.656829	+	2.87776i	0.0774081	+	0.339147i
$73$	−2.52288	−	3.16359i	−0.295280	−	0.370270i	0.611955	−	0.790892i	$-0.290383\pi$
$73$	−2.52288	−	3.16359i	−0.295280	−	0.370270i	−0.907236	+	0.420622i	$0.861812\pi$
$74$	−16.0481	−	20.1236i	−1.86555	−	2.33933i
$75$	−1.77502	−	7.77685i	−0.204961	−	0.897994i
$76$	−3.01541	−	13.2114i	−0.345891	−	1.51545i
$77$	−1.03262	−	6.98233i	−0.117678	−	0.795710i
$78$	1.04448	−	4.57615i	0.118264	−	0.518147i
$79$	12.3495			1.38943			0.694715	−	0.719285i	$-0.255530\pi$
$79$	12.3495			1.38943			0.694715	+	0.719285i	$0.255530\pi$
$80$	−4.82771			−0.539755
$81$	2.29157	−	10.0400i	0.254619	−	1.11556i
$82$	−5.71702	+	2.75317i	−0.631339	+	0.304037i
$83$	8.99222	+	11.2759i	0.987025	+	1.23769i	0.971311	+	0.237813i	$0.0764306\pi$
$83$	8.99222	+	11.2759i	0.987025	+	1.23769i	0.0157138	+	0.999877i	$0.494998\pi$
$84$	11.8467	+	17.4798i	1.29258	+	1.90721i
$85$	−3.09458	+	3.88049i	−0.335655	+	0.420898i
$86$	6.34903	−	27.8169i	0.684634	−	2.99958i
$87$	4.31132	−	5.40623i	0.462222	−	0.579609i
$88$	−13.5293	+	6.51539i	−1.44223	+	0.694542i
$89$	6.88018	+	8.62747i	0.729297	+	0.914510i	0.998824	−	0.0484830i	$-0.0154387\pi$
$89$	6.88018	+	8.62747i	0.729297	+	0.914510i	−0.269527	+	0.962993i	$0.586867\pi$
$90$	−1.02370	−	0.492989i	−0.107908	−	0.0519656i
$91$	−0.387070	−	2.61728i	−0.0405760	−	0.274366i
$92$	12.7835	−	6.15620i	1.33277	−	0.641828i
$93$	−10.9277	−	5.26251i	−1.13315	−	0.545697i
$94$	−2.18727	−	9.58305i	−0.225600	−	0.988416i
$95$	2.48873	+	1.19851i	0.255339	+	0.122965i
$96$	3.12652	−	3.92053i	0.319099	−	0.400138i
$97$	−3.75889			−0.381658			−0.190829	−	0.981623i	$-0.561118\pi$
$97$	−3.75889			−0.381658			−0.190829	+	0.981623i	$0.561118\pi$
$98$	14.4058	+	9.93919i	1.45520	+	1.00401i
$99$	−1.39899			−0.140604
$100$	−11.2626	+	14.1229i	−1.12626	+	1.41229i
$101$	3.36908	+	1.62246i	0.335236	+	0.161441i	0.593927	−	0.804519i	$-0.297577\pi$
$101$	3.36908	+	1.62246i	0.335236	+	0.161441i	−0.258691	+	0.965960i	$0.583291\pi$
$102$	−5.98214	−	26.2095i	−0.592320	−	2.59513i
$103$	16.4206	+	7.90772i	1.61797	+	0.779171i	0.999975	−	0.00701468i	$-0.00223286\pi$
$103$	16.4206	+	7.90772i	1.61797	+	0.779171i	0.617990	+	0.786186i	$0.287947\pi$
$104$	−5.07139	+	2.44225i	−0.497291	+	0.239483i
$105$	−4.29139	−	0.333569i	−0.418797	−	0.0325530i
$106$	2.75598	+	1.32721i	0.267685	+	0.128910i
$107$	4.25566	+	5.33642i	0.411410	+	0.515891i	0.943759	−	0.330633i	$-0.107262\pi$
$107$	4.25566	+	5.33642i	0.411410	+	0.515891i	−0.532350	+	0.846525i	$0.678691\pi$
$108$	−17.8014	+	8.57270i	−1.71294	+	0.824908i
$109$	−1.38668	+	1.73884i	−0.132820	+	0.166551i	−0.843794	−	0.536668i	$-0.819683\pi$
$109$	−1.38668	+	1.73884i	−0.132820	+	0.166551i	0.710974	+	0.703218i	$0.248254\pi$
$110$	1.28623	−	5.63536i	0.122638	−	0.537310i
$111$	−12.0498	+	15.1100i	−1.14372	+	1.43418i
$112$	4.38352	−	14.0723i	0.414204	−	1.32971i
$113$	−11.6262	−	14.5788i	−1.09370	−	1.37146i	−0.922399	−	0.386238i	$-0.873774\pi$
$113$	−11.6262	−	14.5788i	−1.09370	−	1.37146i	−0.171301	−	0.985219i	$-0.554797\pi$
$114$	−13.4800	+	6.49165i	−1.26252	+	0.607999i
$115$	−0.643582	+	2.81972i	−0.0600143	+	0.262940i
$116$	−15.6588			−1.45389
$117$	−0.524402			−0.0484810
$118$	−5.89283	+	25.8182i	−0.542479	+	2.37675i
$119$	−8.50140	−	12.5439i	−0.779322	−	1.14990i
$120$	2.03773	+	8.92786i	0.186018	+	0.814998i
$121$	0.864042	+	3.78562i	0.0785493	+	0.344147i
$122$	6.22902	+	7.81094i	0.563949	+	0.707169i
$123$	2.97062	+	3.72504i	0.267852	+	0.335876i
$124$	6.11179	+	26.7775i	0.548855	+	2.40469i
$125$	−1.78353	−	7.81417i	−0.159524	−	0.698921i
$126$	2.36653	−	2.53637i	0.210827	−	0.225958i
$127$	−2.68160	+	11.7489i	−0.237954	+	1.04254i	0.704892	+	0.709314i	$0.250995\pi$
$127$	−2.68160	+	11.7489i	−0.237954	+	1.04254i	−0.942846	+	0.333229i	$0.891862\pi$
$128$	16.5019			1.45857
$129$	−21.4237			−1.88625
$130$	0.482137	−	2.11238i	0.0422862	−	0.185268i
$131$	1.14415	−	0.550992i	0.0999646	−	0.0481404i	−0.383233	−	0.923652i	$-0.625189\pi$
$131$	1.14415	−	0.550992i	0.0999646	−	0.0481404i	0.483198	+	0.875511i	$0.339475\pi$
$132$	13.2753	+	16.6466i	1.15546	+	1.44890i
$133$	−5.75330	+	6.16619i	−0.498874	+	0.534676i
$134$	1.28902	−	1.61638i	0.111354	−	0.139634i
$135$	0.896207	−	3.92654i	0.0771332	−	0.337943i
$136$	−20.1004	+	25.2051i	−1.72360	+	2.16132i
$137$	15.9766	−	7.69394i	1.36498	−	0.657338i	0.399235	−	0.916848i	$-0.369276\pi$
$137$	15.9766	−	7.69394i	1.36498	−	0.657338i	0.965740	+	0.259511i	$0.0835613\pi$
$138$	−9.76732	−	12.2478i	−0.831449	−	1.04260i
$139$	4.64743	+	2.23808i	0.394190	+	0.189832i	0.620469	−	0.784231i	$-0.286942\pi$
$139$	4.64743	+	2.23808i	0.394190	+	0.189832i	−0.226280	+	0.974062i	$0.572656\pi$
$140$	5.46850	+	8.06881i	0.462172	+	0.681939i
$141$	−6.64965	+	3.20230i	−0.560002	+	0.269683i
$142$	1.93250	+	0.930641i	0.162171	+	0.0780976i
$143$	−0.593636	−	2.60089i	−0.0496423	−	0.217497i
$144$	−2.63209	−	1.26755i	−0.219341	−	0.105629i
$145$	1.99014	−	2.49555i	0.165272	−	0.207244i
$146$	10.1170			0.837289
$147$	4.86887	−	12.2061i	0.401578	−	1.00675i
$148$	43.7653			3.59748
$149$	2.89096	−	3.62515i	0.236837	−	0.296984i	−0.649182	−	0.760633i	$-0.724889\pi$
$149$	2.89096	−	3.62515i	0.236837	−	0.296984i	0.886019	+	0.463649i	$0.153460\pi$
$150$	17.9691	+	8.65346i	1.46717	+	0.706552i
$151$	0.819475	+	3.59036i	0.0666879	+	0.292179i	0.997264	−	0.0739190i	$-0.0235506\pi$
$151$	0.819475	+	3.59036i	0.0666879	+	0.292179i	−0.930576	+	0.366098i	$0.880693\pi$
$152$	16.1652	+	7.78475i	1.31117	+	0.631427i
$153$	−2.70603	+	1.30315i	−0.218769	+	0.105354i
$154$	15.2587	+	8.86611i	1.22958	+	0.714452i
$155$	−5.04430	−	2.42921i	−0.405168	−	0.195119i
$156$	4.97615	+	6.23989i	0.398411	+	0.499591i
$157$	−3.44702	+	1.66000i	−0.275102	+	0.132482i	−0.566348	−	0.824166i	$-0.691644\pi$
$157$	−3.44702	+	1.66000i	−0.275102	+	0.132482i	0.291247	+	0.956648i	$0.405930\pi$
$158$	−19.2515	+	24.1406i	−1.53157	+	1.92053i
$159$	0.511088	−	2.23922i	0.0405319	−	0.177582i
$160$	1.44322	−	1.80974i	0.114097	−	0.143073i
$161$	−7.63484	−	4.43626i	−0.601710	−	0.349626i
$162$	16.0537	+	20.1307i	1.26130	+	1.58162i
$163$	−13.9938	+	6.73908i	−1.09608	+	0.527845i	−0.892424	−	0.451197i	$-0.850997\pi$
$163$	−13.9938	+	6.73908i	−1.09608	+	0.527845i	−0.203657	+	0.979042i	$0.565283\pi$
$164$	2.40086	−	10.5189i	0.187476	−	0.821385i
$165$	−4.34017			−0.337882
$166$	−36.0597			−2.79878
$167$	−0.208455	+	0.913301i	−0.0161307	+	0.0706733i	−0.982353	−	0.187038i	$-0.940111\pi$
$167$	−0.208455	+	0.913301i	−0.0161307	+	0.0706733i	0.966222	+	0.257711i	$0.0829684\pi$
$168$	−27.8741	−	2.16664i	−2.15053	−	0.167160i
$169$	−0.222521	−	0.974928i	−0.0171170	−	0.0749945i
$170$	−2.76140	−	12.0985i	−0.211789	−	0.927910i
$171$	1.04219	+	1.30687i	0.0796984	+	0.0999387i
$172$	30.2484	+	37.9303i	2.30642	+	2.89216i
$173$	2.83500	+	12.4210i	0.215541	+	0.944349i	0.960728	+	0.277492i	$0.0895033\pi$
$173$	2.83500	+	12.4210i	0.215541	+	0.944349i	−0.745186	+	0.666856i	$0.767640\pi$
$174$	3.84713	+	16.8554i	0.291650	+	1.27780i
$175$	11.2080	+	0.871197i	0.847248	+	0.0658563i
$176$	3.30710	−	14.4893i	0.249282	−	1.09218i
$177$	19.8843			1.49460
$178$	−27.5902			−2.06797
$179$	−2.35440	+	10.3153i	−0.175976	+	0.771003i	0.807486	+	0.589887i	$0.200828\pi$
$179$	−2.35440	+	10.3153i	−0.175976	+	0.771003i	−0.983462	+	0.181115i	$0.942029\pi$
$180$	1.74064	−	0.838250i	0.129740	−	0.0624795i
$181$	9.73839	+	12.2116i	0.723849	+	0.907678i	0.998549	−	0.0538520i	$-0.0171499\pi$
$181$	9.73839	+	12.2116i	0.723849	+	0.907678i	−0.274700	+	0.961530i	$0.588578\pi$
$182$	5.71962	+	3.32341i	0.423966	+	0.246348i
$183$	4.67711	−	5.86491i	0.345742	−	0.433546i
$184$	−4.18029	+	18.3150i	−0.308175	+	1.35020i
$185$	−5.56228	+	6.97487i	−0.408947	+	0.512803i
$186$	27.3221	−	13.1576i	2.00335	−	0.964764i
$187$	−9.52658	−	11.9460i	−0.696652	−	0.873575i
$188$	15.0584	+	7.25172i	1.09824	+	0.528886i
$189$	10.6317	+	6.17763i	0.773346	+	0.449356i
$190$	−6.22248	+	2.99659i	−0.451426	+	0.217395i
$191$	11.3198	+	5.45134i	0.819074	+	0.394445i	0.796006	−	0.605289i	$-0.206942\pi$
$191$	11.3198	+	5.45134i	0.819074	+	0.394445i	0.0230679	+	0.999734i	$0.492657\pi$
$192$	−1.86457	−	8.16923i	−0.134564	−	0.589564i
$193$	17.2090	+	8.28742i	1.23873	+	0.596542i	0.934468	−	0.356046i	$-0.115875\pi$
$193$	17.2090	+	8.28742i	1.23873	+	0.596542i	0.304263	+	0.952588i	$0.401590\pi$
$194$	5.85969	−	7.34782i	0.420701	−	0.527542i
$195$	−1.62689			−0.116504
$196$	−28.4852	+	8.61374i	−2.03466	+	0.615267i
$197$	0.654623			0.0466399			0.0233200	−	0.999728i	$-0.492576\pi$
$197$	0.654623			0.0466399			0.0233200	+	0.999728i	$0.492576\pi$
$198$	2.18086	−	2.73471i	0.154987	−	0.194348i
$199$	−1.06219	−	0.511524i	−0.0752966	−	0.0362609i	0.395856	−	0.918312i	$-0.370448\pi$
$199$	−1.06219	−	0.511524i	−0.0752966	−	0.0362609i	−0.471153	+	0.882051i	$0.656162\pi$
$200$	−5.32202	−	23.3173i	−0.376324	−	1.64878i
$201$	−1.39861	−	0.673536i	−0.0986504	−	0.0475075i
$202$	−8.42358	+	4.05658i	−0.592681	+	0.285420i
$203$	5.46727	+	8.06700i	0.383727	+	0.566192i
$204$	41.1843	+	19.8333i	2.88348	+	1.38861i
$205$	1.37126	+	1.71950i	0.0957728	+	0.120095i
$206$	−41.0556	+	19.7714i	−2.86048	+	1.37754i
$207$	−1.09122	+	1.36835i	−0.0758450	+	0.0951066i
$208$	1.23965	−	5.43124i	0.0859540	−	0.376589i
$209$	−5.30191	+	6.64839i	−0.366741	+	0.459879i
$210$	7.34185	−	7.86874i	0.506636	−	0.542995i
$211$	−1.60626	−	2.01418i	−0.110579	−	0.138662i	0.723462	−	0.690364i	$-0.242550\pi$
$211$	−1.60626	−	2.01418i	−0.110579	−	0.138662i	−0.834041	+	0.551702i	$0.813978\pi$
$212$	−4.68611	+	2.25671i	−0.321844	+	0.154992i
$213$	0.358375	−	1.57014i	0.0245554	−	0.107584i
$214$	−17.0656			−1.16658
$215$	−9.88931			−0.674446
$216$	5.82118	−	25.5043i	0.396081	−	1.73534i
$217$	11.6611	−	12.4980i	0.791607	−	0.848417i
$218$	−1.23738	−	5.42131i	−0.0838059	−	0.367178i
$219$	−1.69036	−	7.40597i	−0.114224	−	0.500449i
$220$	6.12794	+	7.68420i	0.413146	+	0.518068i
$221$	−3.57098	−	4.47787i	−0.240210	−	0.301214i
$222$	−10.7524	−	47.1095i	−0.721657	−	3.16178i
$223$	−3.56598	−	15.6236i	−0.238796	−	1.04623i	−0.942097	−	0.335341i	$-0.891149\pi$
$223$	−3.56598	−	15.6236i	−0.238796	−	1.04623i	0.703301	−	0.710892i	$-0.251709\pi$
$224$	3.96480	+	5.85009i	0.264909	+	0.390876i
$225$	0.495820	−	2.17233i	0.0330547	−	0.144822i
$226$	46.6222			3.10127
$227$	−9.72272			−0.645320			−0.322660	−	0.946515i	$-0.604577\pi$
$227$	−9.72272			−0.645320			−0.322660	+	0.946515i	$0.604577\pi$
$228$	5.66094	−	24.8022i	0.374905	−	1.64257i
$229$	−14.3504	+	6.91079i	−0.948301	+	0.456678i	−0.843090	−	0.537772i	$-0.819266\pi$
$229$	−14.3504	+	6.91079i	−0.948301	+	0.456678i	−0.105211	+	0.994450i	$0.533552\pi$
$230$	−4.50866	−	5.65368i	−0.297292	−	0.372792i
$231$	3.94084	−	12.6512i	0.259288	−	0.832387i
$232$	12.9266	−	16.2095i	0.848675	−	1.06420i
$233$	0.470161	−	2.05991i	0.0308013	−	0.134949i	−0.957190	−	0.289462i	$-0.906524\pi$
$233$	0.470161	−	2.05991i	0.0308013	−	0.134949i	0.987991	+	0.154513i	$0.0493808\pi$
$234$	0.817483	−	1.02509i	0.0534405	−	0.0670123i
$235$	−3.06952	+	1.47820i	−0.200234	+	0.0964274i
$236$	−28.0749	−	35.2048i	−1.82752	−	2.29164i
$237$	20.8883	+	10.0593i	1.35684	+	0.653420i
$238$	37.7732	+	2.93610i	2.44848	+	0.190319i
$239$	−11.1944	+	5.39094i	−0.724106	+	0.348711i	−0.759363	−	0.650667i	$-0.774489\pi$
$239$	−11.1944	+	5.39094i	−0.724106	+	0.348711i	0.0352572	+	0.999378i	$0.488775\pi$
$240$	−8.16571	−	3.93240i	−0.527094	−	0.253835i
$241$	−5.07877	−	22.2516i	−0.327153	−	1.43335i	−0.824532	−	0.565816i	$-0.808561\pi$
$241$	−5.07877	−	22.2516i	−0.327153	−	1.43335i	0.497379	−	0.867533i	$-0.334296\pi$
$242$	−8.74699	−	4.21233i	−0.562278	−	0.270779i
$243$	3.36100	−	4.21456i	0.215608	−	0.270364i
$244$	−16.9874			−1.08751
$245$	2.24750	−	5.63443i	0.143588	−	0.359971i
$246$	−11.9125			−0.759513
$247$	−1.98739	+	2.49211i	−0.126455	+	0.158569i
$248$	−32.7645	−	15.7786i	−2.08055	−	1.00194i
$249$	6.02492	+	26.3969i	0.381814	+	1.67284i
$250$	18.0553	+	8.69498i	1.14192	+	0.549919i
$251$	15.4748	−	7.45229i	0.976763	−	0.470384i	0.123772	−	0.992311i	$-0.460501\pi$
$251$	15.4748	−	7.45229i	0.976763	−	0.470384i	0.852991	+	0.521926i	$0.174786\pi$
$252$	0.862930	+	5.83494i	0.0543595	+	0.367567i
$253$	−8.02190	−	3.86314i	−0.504333	−	0.242874i
$254$	−18.7862	−	23.5571i	−1.17875	−	1.47810i
$255$	−8.39509	+	4.04286i	−0.525721	+	0.253174i
$256$	−20.1587	+	25.2783i	−1.25992	+	1.57989i
$257$	6.09087	−	26.6859i	0.379938	−	1.66462i	−0.317718	−	0.948185i	$-0.602917\pi$
$257$	6.09087	−	26.6859i	0.379938	−	1.66462i	0.697656	−	0.716433i	$-0.254226\pi$
$258$	33.3971	−	41.8786i	2.07921	−	2.60725i
$259$	−15.2806	−	22.5466i	−0.949490	−	1.40098i
$260$	2.29702	+	2.88038i	0.142455	+	0.178633i
$261$	1.74025	−	0.838063i	0.107719	−	0.0518748i
$262$	−0.706525	+	3.09549i	−0.0436493	+	0.191240i
$263$	20.0903			1.23882			0.619411	−	0.785067i	$-0.287372\pi$
$263$	20.0903			1.23882			0.619411	+	0.785067i	$0.287372\pi$
$264$	−28.1909			−1.73503
$265$	0.235921	−	1.03364i	0.0144925	−	0.0634960i
$266$	−3.08481	−	20.8588i	−0.189142	−	1.27894i
$267$	4.60982	+	20.1969i	0.282116	+	1.23603i
$268$	0.782234	+	3.42719i	0.0477825	+	0.209349i
$269$	7.66168	+	9.60744i	0.467141	+	0.585776i	0.958468	−	0.285199i	$-0.0920596\pi$
$269$	7.66168	+	9.60744i	0.467141	+	0.585776i	−0.491328	+	0.870975i	$0.663488\pi$
$270$	6.27844	+	7.87292i	0.382094	+	0.479130i
$271$	2.25792	+	9.89260i	0.137159	+	0.600933i	0.996052	+	0.0887770i	$0.0282959\pi$
$271$	2.25792	+	9.89260i	0.137159	+	0.600933i	−0.858893	+	0.512156i	$0.828847\pi$
$272$	−7.09996	−	31.1069i	−0.430498	−	1.88614i
$273$	1.47720	−	4.74222i	0.0894043	−	0.287012i
$274$	−9.86578	+	43.2248i	−0.596013	+	2.61130i
$275$	11.3354			0.683552
$276$	26.6368			1.60335
$277$	5.43544	−	23.8142i	0.326584	−	1.43086i	−0.499012	−	0.866595i	$-0.666304\pi$
$277$	5.43544	−	23.8142i	0.326584	−	1.43086i	0.825596	−	0.564262i	$-0.190839\pi$
$278$	−11.6198	+	5.59579i	−0.696908	+	0.335613i
$279$	−2.11237	−	2.64883i	−0.126464	−	0.158581i
$280$	−12.8669	−	1.00014i	−0.768943	−	0.0597696i
$281$	−9.08506	+	11.3923i	−0.541969	+	0.679608i	−0.975111	−	0.221718i	$-0.928834\pi$
$281$	−9.08506	+	11.3923i	−0.541969	+	0.679608i	0.433142	+	0.901326i	$0.357405\pi$
$282$	4.10625	−	17.9906i	0.244523	−	1.07133i
$283$	5.80525	−	7.27956i	0.345087	−	0.432725i	−0.578754	−	0.815502i	$-0.696461\pi$
$283$	5.80525	−	7.27956i	0.345087	−	0.432725i	0.923841	+	0.382777i	$0.125032\pi$
$284$	−3.28590	+	1.58241i	−0.194982	+	0.0938986i
$285$	3.23326	+	4.05438i	0.191522	+	0.240161i
$286$	6.00958	+	2.89406i	0.355354	+	0.171129i
$287$	−6.25728	+	2.43579i	−0.369356	+	0.143780i
$288$	1.26201	−	0.607753i	0.0743648	−	0.0358122i
$289$	−14.2382	−	6.85676i	−0.837541	−	0.403339i
$290$	1.77586	+	7.78056i	0.104282	+	0.456890i
$291$	−6.35788	−	3.06180i	−0.372706	−	0.179486i
$292$	−10.7255	+	13.4493i	−0.627662	+	0.787063i
$293$	7.15452			0.417971			0.208986	−	0.977919i	$-0.432984\pi$
$293$	7.15452			0.417971			0.208986	+	0.977919i	$0.432984\pi$
$294$	16.2703	+	28.5456i	0.948904	+	1.66481i
$295$	9.17873			0.534406
$296$	−36.1289	+	45.3042i	−2.09995	+	2.63326i
$297$	11.1707	+	5.37955i	0.648192	+	0.312153i
$298$	2.57970	+	11.3024i	0.149438	+	0.654730i
$299$	−3.00696	−	1.44808i	−0.173897	−	0.0837444i
$300$	−30.5536	+	14.7138i	−1.76401	+	0.849504i
$301$	8.97942	−	28.8264i	0.517565	−	1.66153i
$302$	−8.29583	−	3.99506i	−0.477371	−	0.229890i
$303$	4.37697	+	5.48855i	0.251451	+	0.315309i
$304$	−15.9989	+	7.70467i	−0.917600	+	0.441893i
$305$	2.15898	−	2.70728i	0.123623	−	0.155018i
$306$	1.67101	−	7.32116i	0.0955252	−	0.418523i
$307$	12.4343	−	15.5921i	0.709664	−	0.889890i	−0.288040	−	0.957618i	$-0.593004\pi$
$307$	12.4343	−	15.5921i	0.709664	−	0.889890i	0.997704	+	0.0677284i	$0.0215751\pi$
$308$	−27.9628	+	10.8852i	−1.59333	+	0.620241i
$309$	21.3329	+	26.7506i	1.21359	+	1.52179i
$310$	12.6121	−	6.07365i	0.716317	−	0.344960i
$311$	−4.11591	+	18.0330i	−0.233392	+	1.02256i	0.713412	+	0.700745i	$0.247149\pi$
$311$	−4.11591	+	18.0330i	−0.233392	+	1.02256i	−0.946804	+	0.321812i	$0.895708\pi$
$312$	−10.5672			−0.598250
$313$	−17.6104			−0.995400			−0.497700	−	0.867349i	$-0.665822\pi$
$313$	−17.6104			−0.995400			−0.497700	+	0.867349i	$0.665822\pi$
$314$	2.12858	−	9.32590i	0.120123	−	0.526291i
$315$	−1.03959	−	0.604057i	−0.0585741	−	0.0340348i
$316$	−11.6827	−	51.1852i	−0.657202	−	2.87939i
$317$	5.77996	+	25.3236i	0.324635	+	1.42232i	0.829204	+	0.558946i	$0.188794\pi$
$317$	5.77996	+	25.3236i	0.324635	+	1.42232i	−0.504569	+	0.863371i	$0.668349\pi$
$318$	3.58046	+	4.48976i	0.200782	+	0.251773i
$319$	6.12657	+	7.68248i	0.343022	+	0.430136i
$320$	−0.860700	−	3.77097i	−0.0481146	−	0.210804i
$321$	2.85135	+	12.4926i	0.159147	+	0.697268i
$322$	20.5738	−	8.00882i	1.14653	−	0.446314i
$323$	−4.06240	+	17.7986i	−0.226038	+	0.990338i
$324$	−43.7807			−2.43226
$325$	4.24902			0.235693
$326$	8.64137	−	37.8603i	0.478601	−	2.09689i
$327$	−3.76183	+	1.81160i	−0.208030	+	0.100182i
$328$	8.90680	+	11.1688i	0.491796	+	0.616692i
$329$	−1.52173	−	10.2896i	−0.0838954	−	0.567282i
$330$	6.76583	−	8.48408i	0.372447	−	0.467033i
$331$	1.76566	−	7.73585i	0.0970493	−	0.425201i	−0.902940	−	0.429766i	$-0.858596\pi$
$331$	1.76566	−	7.73585i	0.0970493	−	0.425201i	0.999990	+	0.00456529i	$0.00145318\pi$
$332$	38.2286	−	47.9371i	2.09807	−	2.63089i
$333$	−4.86388	+	2.34232i	−0.266539	+	0.128358i
$334$	−1.46035	−	1.83122i	−0.0799066	−	0.100200i
$335$	−0.645608	−	0.310908i	−0.0352733	−	0.0169867i
$336$	18.8770	−	20.2317i	1.02982	−	1.10373i
$337$	6.71225	−	3.23245i	0.365639	−	0.176083i	−0.242038	−	0.970267i	$-0.577816\pi$
$337$	6.71225	−	3.23245i	0.365639	−	0.176083i	0.607677	+	0.794184i	$0.292102\pi$
$338$	2.25266	+	1.08482i	0.122528	+	0.0590065i
$339$	−7.78972	−	34.1290i	−0.423080	−	1.85363i
$340$	19.0110	+	9.15519i	1.03101	+	0.496510i
$341$	10.7462	−	13.4753i	0.581940	−	0.729730i
$342$	−4.17930			−0.225991
$343$	14.3831	+	11.6673i	0.776616	+	0.629974i
$344$	−64.2346			−3.46330
$345$	−3.38536	+	4.24511i	−0.182262	+	0.228549i
$346$	−28.6997	−	13.8211i	−1.54291	−	0.743025i
$347$	1.72997	+	7.57947i	0.0928694	+	0.406887i	0.999899	−	0.0141784i	$-0.00451327\pi$
$347$	1.72997	+	7.57947i	0.0928694	+	0.406887i	−0.907030	+	0.421066i	$0.861656\pi$
$348$	−26.4858	−	12.7549i	−1.41979	−	0.683733i
$349$	−22.4512	+	10.8119i	−1.20178	+	0.578748i	−0.924184	−	0.381948i	$-0.875253\pi$
$349$	−22.4512	+	10.8119i	−1.20178	+	0.578748i	−0.277600	+	0.960697i	$0.589539\pi$
$350$	−19.1751	+	20.5512i	−1.02495	+	1.09851i
$351$	4.18729	+	2.01649i	0.223501	+	0.107632i
$352$	4.44292	+	5.57124i	0.236808	+	0.296948i
$353$	−22.0751	+	10.6308i	−1.17494	+	0.565821i	−0.916433	−	0.400188i	$-0.868945\pi$
$353$	−22.0751	+	10.6308i	−1.17494	+	0.565821i	−0.258507	+	0.966009i	$0.583231\pi$
$354$	−30.9974	+	38.8695i	−1.64749	+	2.06589i
$355$	0.165428	−	0.724788i	0.00878001	−	0.0384677i
$356$	29.2497	−	36.6779i	1.55023	−	1.94393i
$357$	−4.16189	−	28.1418i	−0.220271	−	1.48942i
$358$	−16.4939	−	20.6827i	−0.871732	−	1.09312i
$359$	23.3077	−	11.2244i	1.23013	−	0.592400i	0.298016	−	0.954561i	$-0.403675\pi$
$359$	23.3077	−	11.2244i	1.23013	−	0.592400i	0.932116	+	0.362160i	$0.117961\pi$
$360$	−0.569203	+	2.49384i	−0.0299996	+	0.131437i
$361$	−8.83967			−0.465246
$362$	−39.0520			−2.05253
$363$	−1.62210	+	7.10688i	−0.0851382	+	0.373015i
$364$	−10.4817	+	4.08025i	−0.549391	+	0.213863i
$365$	−0.780283	−	3.41864i	−0.0408419	−	0.178940i
$366$	4.17353	+	18.2854i	0.218154	+	0.955795i
$367$	−4.01574	−	5.03558i	−0.209620	−	0.262855i	0.665896	−	0.746045i	$-0.268050\pi$
$367$	−4.01574	−	5.03558i	−0.209620	−	0.262855i	−0.875516	+	0.483190i	$0.839478\pi$
$368$	−11.5924	−	14.5364i	−0.604297	−	0.757764i
$369$	0.296149	+	1.29751i	0.0154169	+	0.0675459i
$370$	−4.96340	−	21.7461i	−0.258035	−	1.13052i
$371$	2.79875	+	1.62623i	0.145304	+	0.0844294i
$372$	−11.4739	+	50.2705i	−0.594894	+	2.60640i
$373$	32.3120			1.67305			0.836526	−	0.547927i	$-0.184583\pi$
$373$	32.3120			1.67305			0.836526	+	0.547927i	$0.184583\pi$
$374$	38.2026			1.97541
$375$	3.34830	−	14.6698i	0.172905	−	0.757548i
$376$	−19.9376	+	9.60146i	−1.02820	+	0.495157i
$377$	2.29651	+	2.87973i	0.118276	+	0.148314i
$378$	−28.6496	+	11.1525i	−1.47358	+	0.573624i
$379$	9.83462	−	12.3322i	0.505171	−	0.633464i	−0.462216	−	0.886767i	$-0.652946\pi$
$379$	9.83462	−	12.3322i	0.505171	−	0.633464i	0.967387	+	0.253303i	$0.0815171\pi$
$380$	2.61313	−	11.4489i	0.134051	−	0.587314i
$381$	−14.1057	+	17.6880i	−0.722658	+	0.906185i
$382$	−28.3025	+	13.6298i	−1.44808	+	0.697359i
$383$	−6.92615	−	8.68512i	−0.353910	−	0.443789i	0.572727	−	0.819746i	$-0.305885\pi$
$383$	−6.92615	−	8.68512i	−0.353910	−	0.443789i	−0.926637	+	0.375957i	$0.877314\pi$
$384$	27.9116	+	13.4415i	1.42436	+	0.685935i
$385$	1.81912	−	5.83987i	0.0927108	−	0.297628i
$386$	−43.0270	+	20.7207i	−2.19002	+	1.05466i
$387$	−5.39170	−	2.59651i	−0.274076	−	0.131988i
$388$	3.55592	+	15.5795i	0.180525	+	0.790930i
$389$	−12.9925	−	6.25684i	−0.658744	−	0.317234i	0.0744789	−	0.997223i	$-0.476271\pi$
$389$	−12.9925	−	6.25684i	−0.658744	−	0.317234i	−0.733223	+	0.679988i	$0.761985\pi$
$390$	2.53613	−	3.18021i	0.128422	−	0.161036i
$391$	−19.1151			−0.966692
$392$	14.5983	−	36.5976i	0.737327	−	1.84846i
$393$	2.38405			0.120259
$394$	−1.02048	+	1.27964i	−0.0514112	+	0.0644676i
$395$	9.64217	+	4.64343i	0.485150	+	0.233636i
$396$	1.32345	+	5.79839i	0.0665056	+	0.291380i
$397$	−33.5372	−	16.1507i	−1.68319	−	0.810580i	−0.996497	−	0.0836284i	$-0.973349\pi$
$397$	−33.5372	−	16.1507i	−1.68319	−	0.810580i	−0.686689	−	0.726951i	$-0.740937\pi$
$398$	2.65575	−	1.27894i	0.133121	−	0.0641075i
$399$	−14.7539	+	5.74331i	−0.738620	+	0.287525i
$400$	21.3268	+	10.2704i	1.06634	+	0.513522i
$401$	20.3449	+	25.5117i	1.01597	+	1.27399i	0.961305	+	0.275488i	$0.0888393\pi$
$401$	20.3449	+	25.5117i	1.01597	+	1.27399i	0.0546701	+	0.998504i	$0.482589\pi$
$402$	3.49689	−	1.68401i	0.174409	−	0.0839910i
$403$	4.02815	−	5.05114i	0.200657	−	0.251615i
$404$	3.53748	−	15.4987i	0.175996	−	0.771090i
$405$	5.56424	−	6.97733i	0.276489	−	0.346707i
$406$	−24.2921	−	1.88821i	−1.20560	−	0.0937105i
$407$	−17.1233	−	21.4719i	−0.848770	−	1.06432i
$408$	−54.5291	+	26.2598i	−2.69959	+	1.30005i
$409$	5.10050	−	22.3467i	0.252203	−	1.10498i	−0.677168	−	0.735829i	$-0.736793\pi$
$409$	5.10050	−	22.3467i	0.252203	−	1.10498i	0.929371	−	0.369147i	$-0.120350\pi$
$410$	−5.49889			−0.271571
$411$	33.2903			1.64209
$412$	17.2413	−	75.5391i	0.849418	−	3.72154i
$413$	−8.33421	+	26.7551i	−0.410100	+	1.31653i
$414$	−0.973730	−	4.26619i	−0.0478562	−	0.209672i
$415$	2.78114	+	12.1850i	0.136521	+	0.598137i
$416$	1.66540	+	2.08835i	0.0816530	+	0.102390i
$417$	6.03775	+	7.57109i	0.295670	+	0.370758i
$418$	−4.73107	−	20.7282i	−0.231404	−	1.01385i
$419$	4.41833	+	19.3580i	0.215849	+	0.945698i	0.960508	+	0.278252i	$0.0897552\pi$
$419$	4.41833	+	19.3580i	0.215849	+	0.945698i	−0.744659	+	0.667446i	$0.767388\pi$
$420$	2.67712	+	18.1021i	0.130630	+	0.883293i
$421$	−1.77764	+	7.78836i	−0.0866369	+	0.379581i	−0.999595	−	0.0284731i	$-0.990935\pi$
$421$	−1.77764	+	7.78836i	−0.0866369	+	0.379581i	0.912958	+	0.408054i	$0.133793\pi$
$422$	6.44125			0.313555
$423$	−2.06163			−0.100240
$424$	1.53239	−	6.71385i	0.0744196	−	0.326053i
$425$	21.9259	−	10.5589i	1.06356	−	0.512184i
$426$	2.51062	+	3.14822i	0.121640	+	0.152532i
$427$	5.93113	+	8.75142i	0.287027	+	0.423511i
$428$	18.0920	−	22.6867i	0.874512	−	1.09660i
$429$	1.11446	−	4.88275i	0.0538065	−	0.235741i
$430$	15.4163	−	19.3314i	0.743441	−	0.932245i
$431$	29.2879	−	14.1043i	1.41075	−	0.679380i	0.435436	−	0.900220i	$-0.356594\pi$
$431$	29.2879	−	14.1043i	1.41075	−	0.679380i	0.975310	+	0.220840i	$0.0708799\pi$
$432$	16.1428	+	20.2424i	0.776671	+	0.973914i
$433$	−35.1825	−	16.9430i	−1.69076	−	0.814228i	−0.995425	−	0.0955427i	$-0.969541\pi$
$433$	−35.1825	−	16.9430i	−1.69076	−	0.814228i	−0.695336	−	0.718685i	$-0.744744\pi$
$434$	6.25247	+	42.2778i	0.300128	+	2.02940i
$435$	5.39891	−	2.59998i	0.258858	−	0.124659i
$436$	8.51879	+	4.10243i	0.407976	+	0.196471i
$437$	2.36724	+	10.3716i	0.113241	+	0.496140i
$438$	17.1121	+	8.24077i	0.817650	+	0.393759i
$439$	12.8153	−	16.0698i	0.611639	−	0.766971i	−0.375503	−	0.926821i	$-0.622530\pi$
$439$	12.8153	−	16.0698i	0.611639	−	0.766971i	0.987141	+	0.159851i	$0.0511013\pi$
$440$	−13.0131			−0.620376
$441$	2.70471	−	2.48182i	0.128796	−	0.118182i
$442$	14.3200			0.681133
$443$	−0.894688	+	1.12190i	−0.0425079	+	0.0533033i	−0.802631	−	0.596476i	$-0.796567\pi$
$443$	−0.894688	+	1.12190i	−0.0425079	+	0.0533033i	0.760123	+	0.649779i	$0.225139\pi$
$444$	74.0256	+	35.6489i	3.51310	+	1.69182i
$445$	2.12792	+	9.32304i	0.100873	+	0.441954i
$446$	36.0997	+	17.3847i	1.70937	+	0.823188i
$447$	7.84269	−	3.77684i	0.370947	−	0.178638i
$448$	11.7735	+	0.915153i	0.556248	+	0.0432369i
$449$	−30.9185	−	14.8895i	−1.45913	−	0.702681i	−0.474978	−	0.879998i	$-0.657544\pi$
$449$	−30.9185	−	14.8895i	−1.45913	−	0.702681i	−0.984154	+	0.177317i	$0.943258\pi$
$450$	3.47350	+	4.35563i	0.163742	+	0.205326i
$451$	−6.10006	+	2.93763i	−0.287241	+	0.138328i
$452$	−49.4264	+	61.9787i	−2.32482	+	2.91523i
$453$	−1.53843	+	6.74031i	−0.0722819	+	0.316688i
$454$	15.1566	−	19.0058i	0.711335	−	0.891986i
$455$	0.681886	−	2.18904i	0.0319673	−	0.102624i
$456$	21.0012	+	26.3346i	0.983470	+	1.23323i
$457$	−28.1155	+	13.5397i	−1.31519	+	0.633360i	−0.954188	−	0.299206i	$-0.903278\pi$
$457$	−28.1155	+	13.5397i	−1.31519	+	0.633360i	−0.360998	+	0.932567i	$0.617564\pi$
$458$	8.86156	−	38.8250i	0.414073	−	1.81417i
$459$	26.6183			1.24244
$460$	12.2957			0.573291
$461$	−5.44935	+	23.8752i	−0.253801	+	1.11198i	0.673950	+	0.738777i	$0.264596\pi$
$461$	−5.44935	+	23.8752i	−0.253801	+	1.11198i	−0.927751	+	0.373200i	$0.878261\pi$
$462$	18.5870	+	27.4253i	0.864745	+	1.27594i
$463$	0.977901	+	4.28446i	0.0454469	+	0.199116i	0.992555	−	0.121800i	$-0.0388665\pi$
$463$	0.977901	+	4.28446i	0.0454469	+	0.199116i	−0.947108	+	0.320916i	$0.896009\pi$
$464$	4.56600	+	20.0050i	0.211971	+	0.928707i
$465$	−6.55335	−	8.21764i	−0.303904	−	0.381084i
$466$	3.29375	+	4.13023i	0.152580	+	0.191329i
$467$	−2.35312	−	10.3097i	−0.108889	−	0.477076i	−0.999740	−	0.0227802i	$-0.992748\pi$
$467$	−2.35312	−	10.3097i	−0.108889	−	0.477076i	0.890851	−	0.454295i	$-0.150109\pi$
$468$	0.496085	+	2.17349i	0.0229316	+	0.100470i
$469$	1.49248	−	1.59958i	0.0689161	−	0.0738620i
$470$	1.89547	−	8.30460i	0.0874315	−	0.383063i
$471$	−7.18251			−0.330953
$472$	59.6191			2.74419
$473$	6.77442	−	29.6807i	0.311488	−	1.36472i
$474$	−52.2261	+	25.1508i	−2.39883	+	1.15521i
$475$	−8.44446	−	10.5890i	−0.387458	−	0.485857i
$476$	−43.9483	+	47.1023i	−2.01437	+	2.15893i
$477$	0.400014	−	0.501602i	0.0183154	−	0.0229668i
$478$	6.91269	−	30.2865i	0.316179	−	1.38527i
$479$	−23.8941	+	29.9622i	−1.09175	+	1.36901i	−0.168098	+	0.985770i	$0.553762\pi$
$479$	−23.8941	+	29.9622i	−1.09175	+	1.36901i	−0.923650	+	0.383238i	$0.874809\pi$
$480$	3.91522	−	1.88547i	0.178705	−	0.0860596i
$481$	−6.41856	−	8.04862i	−0.292661	−	0.366986i
$482$	51.4142	+	24.7598i	2.34185	+	1.12778i
$483$	−9.30021	−	13.7225i	−0.423174	−	0.624397i
$484$	14.8729	−	7.16240i	0.676040	−	0.325564i
$485$	−2.93484	−	1.41334i	−0.133264	−	0.0641767i
$486$	2.99913	+	13.1400i	0.136043	+	0.596044i
$487$	25.5567	+	12.3075i	1.15808	+	0.557704i	0.911453	−	0.411405i	$-0.134962\pi$
$487$	25.5567	+	12.3075i	1.15808	+	0.557704i	0.246632	+	0.969109i	$0.420676\pi$
$488$	14.0234	−	17.5847i	0.634807	−	0.796023i
$489$	−29.1588			−1.31861
$490$	7.51048	+	13.1768i	0.339289	+	0.595268i
$491$	22.9331			1.03496			0.517479	−	0.855696i	$-0.326871\pi$
$491$	22.9331			1.03496			0.517479	+	0.855696i	$0.326871\pi$
$492$	12.6290	−	15.8362i	0.569358	−	0.713953i
$493$	19.0067	+	9.15314i	0.856018	+	0.412237i
$494$	−1.77341	−	7.76983i	−0.0797896	−	0.349581i
$495$	−1.09229	−	0.526020i	−0.0490948	−	0.0236428i
$496$	32.4275	−	15.6162i	1.45604	−	0.701190i
$497$	1.96248	+	1.14031i	0.0880293	+	0.0511499i
$498$	−60.9923	−	29.3724i	−2.73313	−	1.31621i
$499$	−4.91608	−	6.16457i	−0.220074	−	0.275964i	0.659522	−	0.751685i	$-0.270759\pi$
$499$	−4.91608	−	6.16457i	−0.220074	−	0.275964i	−0.879596	+	0.475721i	$0.842187\pi$
$500$	−30.7002	+	14.7844i	−1.37296	+	0.661180i
$501$	−1.09651	+	1.37498i	−0.0489885	+	0.0614297i
$502$	−9.55591	+	41.8672i	−0.426501	+	1.86862i
$503$	−8.57325	+	10.7505i	−0.382262	+	0.479342i	−0.935321	−	0.353801i	$-0.884889\pi$
$503$	−8.57325	+	10.7505i	−0.382262	+	0.479342i	0.553059	+	0.833142i	$0.313461\pi$
$504$	−6.75249	−	3.92356i	−0.300780	−	0.174769i
$505$	2.02044	+	2.53355i	0.0899084	+	0.112742i
$506$	20.0568	−	9.65886i	0.891635	−	0.429389i
$507$	0.417747	−	1.83027i	0.0185528	−	0.0812852i
$508$	51.2324			2.27307
$509$	19.8687			0.880665			0.440333	−	0.897835i	$-0.354860\pi$
$509$	19.8687			0.880665			0.440333	+	0.897835i	$0.354860\pi$
$510$	5.18408	−	22.7129i	0.229555	−	1.00575i
$511$	10.6735	+	0.829649i	0.472169	+	0.0367015i
$512$	−10.6443	−	46.6356i	−0.470415	−	2.06102i
$513$	−3.29646	−	14.4427i	−0.145542	−	0.637662i
$514$	42.6700	+	53.5065i	1.88209	+	2.36007i
$515$	9.84741	+	12.3483i	0.433929	+	0.544130i
$516$	20.2669	+	88.7949i	0.892198	+	3.90898i
$517$	−2.33382	−	10.2251i	−0.102641	−	0.449700i
$518$	67.8945	+	5.27741i	2.98311	+	0.231876i
$519$	−5.32226	+	23.3184i	−0.233621	+	1.02356i
$520$	−4.87789			−0.213910
$521$	44.2752			1.93973			0.969865	−	0.243642i	$-0.0783422\pi$
$521$	44.2752			1.93973			0.969865	+	0.243642i	$0.0783422\pi$
$522$	−1.07463	+	4.70826i	−0.0470353	+	0.206075i
$523$	34.9475	−	16.8298i	1.52815	−	0.735918i	0.534158	−	0.845385i	$-0.320629\pi$
$523$	34.9475	−	16.8298i	1.52815	−	0.735918i	0.993990	+	0.109467i	$0.0349144\pi$
$524$	−3.36607	−	4.22091i	−0.147047	−	0.184391i
$525$	18.2479	+	10.6030i	0.796404	+	0.462754i
$526$	−31.3185	+	39.2722i	−1.36555	+	1.71235i
$527$	8.23390	−	36.0751i	0.358674	−	1.57145i
$528$	17.3960	−	21.8138i	0.757062	−	0.949325i
$529$	10.6866	−	5.14640i	0.464636	−	0.223757i
$530$	1.65276	+	2.07250i	0.0717915	+	0.0900237i
$531$	5.00429	+	2.40994i	0.217168	+	0.104582i
$532$	30.9997	+	18.0125i	1.34401	+	0.780941i
$533$	−2.28657	+	1.10115i	−0.0990424	+	0.0476963i
$534$	−46.6668	−	22.4735i	−2.01947	−	0.972525i
$535$	1.31620	+	5.76666i	0.0569044	+	0.249314i
$536$	−4.19345	−	2.01946i	−0.181129	−	0.0872274i
$537$	−12.3846	+	15.5298i	−0.534435	+	0.670160i
$538$	−30.7241			−1.32461
$539$	15.3709	+	10.6051i	0.662073	+	0.456795i
$540$	−17.1222			−0.736821
$541$	4.81558	−	6.03855i	0.207038	−	0.259617i	−0.667461	−	0.744645i	$-0.732619\pi$
$541$	4.81558	−	6.03855i	0.207038	−	0.259617i	0.874499	+	0.485027i	$0.161190\pi$
$542$	−22.8577	−	11.0077i	−0.981823	−	0.472821i
$543$	6.52487	+	28.5873i	0.280009	+	1.22680i
$544$	13.7834	+	6.63775i	0.590960	+	0.284591i
$545$	−1.73649	+	0.836248i	−0.0743829	+	0.0358209i
$546$	6.96722	+	10.2802i	0.298170	+	0.439952i
$547$	5.26932	+	2.53757i	0.225300	+	0.108499i	0.543129	−	0.839649i	$-0.317240\pi$
$547$	5.26932	+	2.53757i	0.225300	+	0.108499i	−0.317829	+	0.948148i	$0.602954\pi$
$548$	−47.0030	−	58.9399i	−2.00787	−	2.51779i
$549$	1.88790	−	0.909166i	0.0805737	−	0.0388022i
$550$	−17.6706	+	22.1583i	−0.753479	+	0.944832i
$551$	2.61254	−	11.4463i	0.111298	−	0.487629i
$552$	−21.9891	+	27.5735i	−0.935918	+	1.17360i
$553$	−22.2902	+	23.8898i	−0.947875	+	1.01590i
$554$	38.0783	+	47.7487i	1.61779	+	2.02865i
$555$	−15.0895	+	7.26673i	−0.640515	+	0.308456i
$556$	4.87972	−	21.3794i	0.206946	−	0.906691i
$557$	−31.9497			−1.35375			−0.676877	−	0.736096i	$-0.736667\pi$
$557$	−31.9497			−1.35375			−0.676877	+	0.736096i	$0.736667\pi$
$558$	8.47083			0.358599
$559$	2.53935	−	11.1256i	0.107403	−	0.470563i
$560$	8.71373	−	9.33908i	0.368222	−	0.394648i
$561$	−6.38295	−	27.9655i	−0.269488	−	1.18071i
$562$	−8.10689	−	35.5186i	−0.341968	−	1.49826i
$563$	−13.7146	−	17.1976i	−0.578001	−	0.724791i	0.403769	−	0.914861i	$-0.367700\pi$
$563$	−13.7146	−	17.1976i	−0.578001	−	0.724791i	−0.981770	+	0.190070i	$0.939128\pi$
$564$	19.5632	+	24.5315i	0.823759	+	1.03296i
$565$	−3.59579	−	15.7542i	−0.151276	−	0.662783i
$566$	5.18021	+	22.6960i	0.217741	+	0.953984i
$567$	15.2860	+	22.5546i	0.641951	+	0.947204i
$568$	1.07451	−	4.70775i	0.0450856	−	0.197533i
$569$	−45.2944			−1.89884			−0.949419	−	0.314012i	$-0.898327\pi$
$569$	−45.2944			−1.89884			−0.949419	+	0.314012i	$0.898327\pi$
$570$	−12.9657			−0.543074
$571$	−6.97302	+	30.5508i	−0.291812	+	1.27851i	0.590190	+	0.807265i	$0.299053\pi$
$571$	−6.97302	+	30.5508i	−0.291812	+	1.27851i	−0.882001	+	0.471247i	$0.843804\pi$
$572$	−10.2183	+	4.92089i	−0.427250	+	0.205753i
$573$	14.7063	+	18.4411i	0.614363	+	0.770386i
$574$	4.99294	−	16.0287i	0.208401	−	0.669027i
$575$	8.84171	−	11.0871i	0.368725	−	0.462366i
$576$	0.520837	−	2.28193i	0.0217015	−	0.0950806i
$577$	19.3326	−	24.2423i	0.804827	−	1.00922i	−0.194770	−	0.980849i	$-0.562396\pi$
$577$	19.3326	−	24.2423i	0.804827	−	1.00922i	0.999597	−	0.0283723i	$-0.00903238\pi$
$578$	35.5992	−	17.1437i	1.48073	−	0.713083i
$579$	22.3572	+	28.0351i	0.929135	+	1.16510i
$580$	−12.2260	−	5.88773i	−0.507657	−	0.244475i
$581$	−38.0433	−	2.95710i	−1.57830	−	0.122681i
$582$	15.8964	−	7.65528i	0.658925	−	0.317322i
$583$	2.94063	+	1.41613i	0.121789	+	0.0586503i
$584$	−5.06821	−	22.2053i	−0.209724	−	0.918862i
$585$	−0.409439	−	0.197175i	−0.0169282	−	0.00815220i
$586$	−11.1531	+	13.9855i	−0.460729	+	0.577736i
$587$	−12.7390			−0.525794			−0.262897	−	0.964824i	$-0.584678\pi$
$587$	−12.7390			−0.525794			−0.262897	+	0.964824i	$0.584678\pi$
$588$	−55.1968	−	8.63302i	−2.27628	−	0.356020i
$589$	−20.5935			−0.848541
$590$	−14.3086	+	17.9424i	−0.589075	+	0.738677i
$591$	1.10724	+	0.533221i	0.0455460	+	0.0219338i
$592$	−12.7616	−	55.9123i	−0.524500	−	2.29798i
$593$	−18.0075	−	8.67197i	−0.739480	−	0.356115i	0.0259246	−	0.999664i	$-0.491747\pi$
$593$	−18.0075	−	8.67197i	−0.739480	−	0.356115i	−0.765405	+	0.643549i	$0.777461\pi$
$594$	−27.9297	+	13.4503i	−1.14597	+	0.551871i
$595$	−1.92116	−	12.9904i	−0.0787597	−	0.532556i
$596$	−17.7600	−	8.55278i	−0.727479	−	0.350335i
$597$	−1.37995	−	1.73041i	−0.0564777	−	0.0708208i
$598$	7.51818	−	3.62057i	0.307441	−	0.148056i
$599$	−17.9809	+	22.5474i	−0.734681	+	0.921260i	−0.999068	−	0.0431561i	$-0.986259\pi$
$599$	−17.9809	+	22.5474i	−0.734681	+	0.921260i	0.264388	+	0.964416i	$0.414830\pi$
$600$	9.99124	−	43.7745i	0.407891	−	1.78709i
$601$	1.48911	−	1.86729i	0.0607421	−	0.0761682i	−0.750532	−	0.660834i	$-0.770203\pi$
$601$	1.48911	−	1.86729i	0.0607421	−	0.0761682i	0.811274	+	0.584666i	$0.198774\pi$
$602$	42.3515	+	62.4899i	1.72612	+	2.54690i
$603$	−0.270357	−	0.339017i	−0.0110098	−	0.0138059i
$604$	14.1057	−	6.79297i	0.573954	−	0.276402i
$605$	−0.748772	+	3.28058i	−0.0304419	+	0.133375i
$606$	−17.5521			−0.713006
$607$	−20.9962			−0.852208			−0.426104	−	0.904674i	$-0.640114\pi$
$607$	−20.9962			−0.852208			−0.426104	+	0.904674i	$0.640114\pi$
$608$	1.89459	−	8.30072i	0.0768356	−	0.336639i
$609$	2.67652	+	18.0981i	0.108458	+	0.733371i
$610$	1.92653	+	8.44068i	0.0780029	+	0.341753i
$611$	−0.874817	−	3.83282i	−0.0353913	−	0.155059i
$612$	7.96110	+	9.98291i	0.321808	+	0.403535i
$613$	−14.1125	−	17.6966i	−0.570000	−	0.714758i	0.410371	−	0.911919i	$-0.365399\pi$
$613$	−14.1125	−	17.6966i	−0.570000	−	0.714758i	−0.980371	+	0.197161i	$0.936828\pi$
$614$	11.0955	+	48.6127i	0.447779	+	1.96185i
$615$	0.918763	+	4.02536i	0.0370481	+	0.162318i
$616$	11.8158	−	37.9320i	0.476073	−	1.52833i
$617$	4.13654	−	18.1234i	0.166531	−	0.729619i	−0.820836	−	0.571165i	$-0.806492\pi$
$617$	4.13654	−	18.1234i	0.166531	−	0.729619i	0.987366	−	0.158454i	$-0.0506510\pi$
$618$	−85.5472			−3.44121
$619$	−8.13454			−0.326955			−0.163477	−	0.986547i	$-0.552271\pi$
$619$	−8.13454			−0.326955			−0.163477	+	0.986547i	$0.552271\pi$
$620$	−5.29643	+	23.2052i	−0.212710	+	0.931942i
$621$	13.9750	−	6.72999i	0.560796	−	0.270065i
$622$	−28.8343	−	36.1571i	−1.15615	−	1.44977i
$623$	−29.1079	−	2.26255i	−1.16618	−	0.0906471i
$624$	6.52077	−	8.17678i	0.261040	−	0.327333i
$625$	−3.18188	+	13.9407i	−0.127275	+	0.557629i
$626$	27.4526	−	34.4245i	1.09723	−	1.37588i
$627$	−14.3832	+	6.92659i	−0.574410	+	0.276621i
$628$	10.1411	+	12.7165i	0.404673	+	0.507444i
$629$	−53.1222	−	25.5823i	−2.11812	−	1.02003i
$630$	2.80140	−	1.09051i	0.111610	−	0.0434469i
$631$	29.4475	−	14.1812i	1.17229	−	0.564543i	0.256632	−	0.966509i	$-0.417387\pi$
$631$	29.4475	−	14.1812i	1.17229	−	0.564543i	0.915655	+	0.401966i	$0.131673\pi$
$632$	62.6293	+	30.1607i	2.49126	+	1.19973i
$633$	−1.07622	−	4.71521i	−0.0427757	−	0.187413i
$634$	−58.5125	−	28.1781i	−2.32383	−	1.11910i
$635$	−6.51130	+	8.16491i	−0.258393	+	0.324015i
$636$	−9.76440			−0.387184
$637$	5.76171	+	3.97527i	0.228287	+	0.157506i
$638$	−24.5682			−0.972664
$639$	0.280490	−	0.351723i	0.0110960	−	0.0139140i
$640$	12.8842	+	6.20470i	0.509292	+	0.245262i
$641$	−8.77046	−	38.4259i	−0.346412	−	1.51773i	−0.785258	−	0.619168i	$-0.787470\pi$
$641$	−8.77046	−	38.4259i	−0.346412	−	1.51773i	0.438846	−	0.898562i	$-0.355387\pi$
$642$	−28.8652	−	13.9007i	−1.13922	−	0.548619i
$643$	0.360847	−	0.173775i	0.0142304	−	0.00685300i	−0.426755	−	0.904367i	$-0.640343\pi$
$643$	0.360847	−	0.173775i	0.0142304	−	0.00685300i	0.440985	+	0.897514i	$0.354629\pi$
$644$	−11.1644	+	35.8409i	−0.439940	+	1.41233i
$645$	−16.7270	−	8.05531i	−0.658626	−	0.317178i
$646$	−28.4594	−	35.6870i	−1.11972	−	1.40409i
$647$	−19.8325	+	9.55085i	−0.779698	+	0.375483i	−0.781012	−	0.624516i	$-0.785296\pi$
$647$	−19.8325	+	9.55085i	−0.779698	+	0.375483i	0.00131386	+	0.999999i	$0.499582\pi$
$648$	36.1417	−	45.3202i	1.41978	−	1.78035i
$649$	−6.28765	+	27.5480i	−0.246812	+	1.08135i
$650$	−6.62373	+	8.30590i	−0.259804	+	0.325784i
$651$	29.9040	−	11.6409i	1.17203	−	0.456241i
$652$	41.1697	+	51.6251i	1.61233	+	2.02180i
$653$	18.6123	−	8.96323i	0.728357	−	0.350758i	−0.0326808	−	0.999466i	$-0.510404\pi$
$653$	18.6123	−	8.96323i	0.728357	−	0.350758i	0.761038	+	0.648708i	$0.224690\pi$
$654$	2.32298	−	10.1776i	0.0908357	−	0.397977i
$655$	1.10049			0.0429998
$656$	−14.1384			−0.552014
$657$	0.472174	−	2.06873i	0.0184213	−	0.0807088i
$658$	22.4861	+	13.0656i	0.876598	+	0.509351i
$659$	9.55424	+	41.8598i	0.372180	+	1.63063i	0.720644	+	0.693306i	$0.243846\pi$
$659$	9.55424	+	41.8598i	0.372180	+	1.63063i	−0.348463	+	0.937322i	$0.613296\pi$
$660$	4.10581	+	17.9887i	0.159818	+	0.700210i
$661$	−13.5851	−	17.0352i	−0.528400	−	0.662593i	0.443969	−	0.896042i	$-0.353570\pi$
$661$	−13.5851	−	17.0352i	−0.528400	−	0.662593i	−0.972369	+	0.233450i	$0.924999\pi$
$662$	12.3694	+	15.5108i	0.480752	+	0.602844i
$663$	−2.39261	−	10.4827i	−0.0929212	−	0.407115i
$664$	18.0645	+	79.1457i	0.701038	+	3.07145i
$665$	−6.81050	+	2.65115i	−0.264100	+	0.102807i
$666$	3.00351	−	13.1592i	0.116384	−	0.509910i
$667$	12.2930			0.475986
$668$	3.98256			0.154090
$669$	6.69456	−	29.3308i	0.258827	−	1.13399i
$670$	1.61419	−	0.777352i	0.0623615	−	0.0300317i
$671$	6.64636	+	8.33427i	0.256580	+	0.321741i
$672$	1.94098	+	13.1245i	0.0748751	+	0.506289i
$673$	16.9266	−	21.2252i	0.652471	−	0.818173i	−0.340029	−	0.940415i	$-0.610437\pi$
$673$	16.9266	−	21.2252i	0.652471	−	0.818173i	0.992500	+	0.122242i	$0.0390085\pi$
$674$	−4.14490	+	18.1600i	−0.159656	+	0.699497i
$675$	−12.3123	+	15.4392i	−0.473902	+	0.594255i
$676$	−3.83028	+	1.84457i	−0.147319	+	0.0709449i
$677$	0.0990445	+	0.124198i	0.00380659	+	0.00477331i	0.783731	−	0.621100i	$-0.213314\pi$
$677$	0.0990445	+	0.124198i	0.00380659	+	0.00477331i	−0.779925	+	0.625874i	$0.784743\pi$
$678$	78.8580	+	37.9760i	3.02852	+	1.45846i
$679$	6.78458	−	7.27148i	0.260368	−	0.279054i
$680$	−25.1710	+	12.1217i	−0.965263	+	0.464846i
$681$	−16.4452	−	7.91961i	−0.630183	−	0.303480i
$682$	9.58919	+	42.0130i	0.367189	+	1.60876i
$683$	18.2036	+	8.76638i	0.696540	+	0.335436i	0.748427	−	0.663217i	$-0.230809\pi$
$683$	18.2036	+	8.76638i	0.696540	+	0.335436i	−0.0518870	+	0.998653i	$0.516524\pi$
$684$	4.43067	−	5.55588i	0.169411	−	0.212434i
$685$	15.3670			0.587144
$686$	−45.2286	+	9.92791i	−1.72684	+	0.379049i
$687$	−29.9018			−1.14082
$688$	39.6376	−	49.7040i	1.51117	−	1.89495i
$689$	1.10228	+	0.530830i	0.0419935	+	0.0202230i
$690$	−3.02087	−	13.2353i	−0.115002	−	0.503858i
$691$	−19.3949	−	9.34010i	−0.737817	−	0.355314i	0.0269361	−	0.999637i	$-0.491425\pi$
$691$	−19.3949	−	9.34010i	−0.737817	−	0.355314i	−0.764753	+	0.644323i	$0.777139\pi$
$692$	48.7993	−	23.5005i	1.85507	−	0.893356i
$693$	2.52509	−	2.70630i	0.0959202	−	0.102804i
$694$	−17.5130	−	8.43383i	−0.664786	−	0.320144i
$695$	2.78706	+	3.49487i	0.105719	+	0.132568i
$696$	35.0678	−	16.8878i	1.32924	−	0.640129i
$697$	−9.06280	+	11.3644i	−0.343278	+	0.430457i
$698$	13.8639	−	60.7417i	0.524756	−	2.29911i
$699$	2.47314	−	3.10121i	0.0935426	−	0.117299i
$700$	−6.99197	−	47.2782i	−0.264272	−	1.78695i
$701$	5.13741	+	6.44211i	0.194037	+	0.243315i	0.869327	−	0.494238i	$-0.164553\pi$
$701$	5.13741	+	6.44211i	0.194037	+	0.243315i	−0.675290	+	0.737553i	$0.735981\pi$
$702$	−10.4693	+	5.04175i	−0.395138	+	0.190289i
$703$	−7.30186	+	31.9915i	−0.275395	+	1.20658i
$704$	11.9074			0.448776
$705$	−6.39593			−0.240885
$706$	13.6317	−	59.7243i	0.513035	−	2.24775i
$707$	−9.21961	+	3.58895i	−0.346739	+	0.134976i
$708$	−18.8106	−	82.4146i	−0.706946	−	3.09733i
$709$	−1.03301	−	4.52592i	−0.0387956	−	0.169975i	0.951819	−	0.306661i	$-0.0992118\pi$
$709$	−1.03301	−	4.52592i	−0.0387956	−	0.169975i	−0.990614	+	0.136687i	$0.956355\pi$
$710$	1.15892	+	1.45324i	0.0434934	+	0.0545390i
$711$	4.03780	+	5.06324i	0.151429	+	0.189886i
$712$	13.8216	+	60.5564i	0.517987	+	2.26945i
$713$	−4.79806	−	21.0217i	−0.179689	−	0.787268i
$714$	61.4990	+	35.7343i	2.30154	+	1.33732i
$715$	0.514440	−	2.25391i	0.0192390	−	0.0842915i
$716$	44.9812			1.68103
$717$	−23.3257			−0.871113
$718$	−14.3928	+	63.0589i	−0.537134	+	2.35334i
$719$	8.23591	−	3.96621i	0.307148	−	0.147915i	−0.273960	−	0.961741i	$-0.588334\pi$
$719$	8.23591	−	3.96621i	0.307148	−	0.147915i	0.581108	+	0.813826i	$0.302619\pi$
$720$	−1.57847	−	1.97933i	−0.0588259	−	0.0737654i
$721$	−44.9354	+	17.4922i	−1.67348	+	0.651442i
$722$	13.7800	−	17.2796i	0.512840	−	0.643081i
$723$	9.53458	−	41.7737i	0.354595	−	1.55358i
$724$	41.4008	−	51.9149i	1.53865	−	1.92940i
$725$	−14.1006	+	6.79048i	−0.523682	+	0.252192i
$726$	−11.3637	−	14.2497i	−0.421748	−	0.528855i
$727$	−18.1865	−	8.75814i	−0.674499	−	0.324821i	0.0650911	−	0.997879i	$-0.479266\pi$
$727$	−18.1865	−	8.75814i	−0.674499	−	0.324821i	−0.739590	+	0.673058i	$0.764980\pi$
$728$	4.42909	−	14.2186i	0.164153	−	0.526976i
$729$	−18.7173	+	9.01376i	−0.693232	+	0.333843i
$730$	7.89907	+	3.80399i	0.292358	+	0.140792i
$731$	−14.5439	−	63.7209i	−0.537925	−	2.35680i
$732$	−28.7329	−	13.8370i	−1.06200	−	0.511431i
$733$	−19.4112	+	24.3408i	−0.716968	+	0.899050i	−0.998162	−	0.0606014i	$-0.980698\pi$
$733$	−19.4112	+	24.3408i	−0.716968	+	0.899050i	0.281194	+	0.959651i	$0.409270\pi$
$734$	16.1036			0.594393
$735$	8.39099	−	7.69952i	0.309506	−	0.284001i
$736$	8.91472			0.328601
$737$	1.37538	−	1.72467i	0.0506628	−	0.0635292i
$738$	−2.99802	−	1.44377i	−0.110359	−	0.0531459i
$739$	−1.72852	−	7.57315i	−0.0635847	−	0.278583i	0.933134	−	0.359530i	$-0.117063\pi$
$739$	−1.72852	−	7.57315i	−0.0635847	−	0.278583i	−0.996718	+	0.0809466i	$0.974206\pi$
$740$	34.1707	+	16.4558i	1.25614	+	0.604925i
$741$	−5.39146	+	2.59639i	−0.198060	+	0.0953808i
$742$	−7.54184	+	2.93584i	−0.276870	+	0.107778i
$743$	8.57099	+	4.12757i	0.314439	+	0.151426i	0.584446	−	0.811432i	$-0.301312\pi$
$743$	8.57099	+	4.12757i	0.314439	+	0.151426i	−0.270007	+	0.962858i	$0.587026\pi$
$744$	−42.5663	−	53.3765i	−1.56056	−	1.95688i
$745$	3.62024	−	1.74341i	0.132635	−	0.0638738i
$746$	−50.3707	+	63.1629i	−1.84420	+	2.31256i
$747$	−1.68296	+	7.37352i	−0.0615762	+	0.269783i
$748$	−40.5003	+	50.7858i	−1.48084	+	1.85691i
$749$	−18.0044	−	1.39947i	−0.657866	−	0.0511357i
$750$	23.4567	+	29.4138i	0.856519	+	1.07404i
$751$	18.0228	−	8.67930i	0.657660	−	0.316712i	−0.0751237	−	0.997174i	$-0.523935\pi$
$751$	18.0228	−	8.67930i	0.657660	−	0.316712i	0.732783	+	0.680462i	$0.238221\pi$
$752$	4.87353	−	21.3523i	0.177719	−	0.778640i
$753$	32.2447			1.17506
$754$	−9.20924			−0.335381
$755$	−0.710151	+	3.11137i	−0.0258450	+	0.113234i
$756$	15.5468	−	49.9095i	0.565431	−	1.81519i
$757$	9.26063	+	40.5735i	0.336583	+	1.47467i	0.806118	+	0.591754i	$0.201564\pi$
$757$	9.26063	+	40.5735i	0.336583	+	1.47467i	−0.469535	+	0.882914i	$0.655578\pi$
$758$	8.77575	+	38.4491i	0.318750	+	1.39653i
$759$	−10.4217	−	13.0684i	−0.378285	−	0.474354i
$760$	9.69427	+	12.1562i	0.351648	+	0.440953i
$761$	3.06148	+	13.4132i	0.110978	+	0.486229i	0.999618	+	0.0276230i	$0.00879378\pi$
$761$	3.06148	+	13.4132i	0.110978	+	0.486229i	−0.888640	+	0.458606i	$0.848349\pi$
$762$	−12.5870	−	55.1472i	−0.455979	−	1.99777i
$763$	−0.860869	−	5.82100i	−0.0311655	−	0.210734i
$764$	11.8856	−	52.0743i	0.430007	−	1.88398i
$765$	−2.60278			−0.0941037
$766$	27.7746			1.00354
$767$	−2.35689	+	10.3262i	−0.0851023	+	0.372857i
$768$	−54.6873	+	26.3360i	−1.97336	+	0.950319i
$769$	32.1364	+	40.2977i	1.15887	+	1.45317i	0.868106	+	0.496378i	$0.165337\pi$
$769$	32.1364	+	40.2977i	1.15887	+	1.45317i	0.290761	+	0.956796i	$0.406091\pi$
$770$	8.57988	+	12.6597i	0.309197	+	0.456223i
$771$	32.0391	−	40.1758i	1.15386	−	1.44690i
$772$	18.0692	−	79.1662i	0.650324	−	2.84925i
$773$	1.97545	−	2.47714i	0.0710521	−	0.0890966i	−0.745035	−	0.667025i	$-0.767567\pi$
$773$	1.97545	−	2.47714i	0.0710521	−	0.0890966i	0.816087	+	0.577929i	$0.196139\pi$
$774$	13.4806	−	6.49194i	0.484552	−	0.233348i
$775$	17.1157	+	21.4624i	0.614814	+	0.770952i
$776$	−19.0628	−	9.18017i	−0.684315	−	0.329549i
$777$	−7.48068	−	50.5827i	−0.268368	−	1.81464i
$778$	32.4845	−	15.6437i	1.16463	−	0.560855i
$779$	7.28851	+	3.50996i	0.261138	+	0.125757i
$780$	1.53904	+	6.74297i	0.0551064	+	0.241437i
$781$	2.06197	+	0.992994i	0.0737832	+	0.0355321i
$782$	29.7982	−	37.3658i	1.06558	−	1.33620i
$783$	−17.1183			−0.611759
$784$	19.3106	+	33.8795i	0.689663	+	1.20998i
$785$	−3.31549			−0.118335
$786$	−3.71646	+	4.66029i	−0.132562	+	0.166227i
$787$	−45.1411	−	21.7388i	−1.60911	−	0.774905i	−0.609270	−	0.792963i	$-0.708538\pi$
$787$	−45.1411	−	21.7388i	−1.60911	−	0.774905i	−0.999837	+	0.0180575i	$0.994252\pi$
$788$	−0.619275	−	2.71322i	−0.0220607	−	0.0966544i
$789$	33.9812	+	16.3645i	1.20976	+	0.582592i
$790$	−24.1079	+	11.6098i	−0.857722	+	0.413057i
$791$	49.1869	+	3.82328i	1.74888	+	0.135940i
$792$	−7.09481	−	3.41668i	−0.252103	−	0.121407i
$793$	2.49135	+	3.12405i	0.0884704	+	0.110938i
$794$	83.8518	−	40.3809i	2.97579	−	1.43306i
$795$	1.24099	−	1.55615i	0.0440134	−	0.0551911i
$796$	−1.11528	+	4.88637i	−0.0395301	+	0.173193i
$797$	9.15959	−	11.4858i	0.324449	−	0.406847i	−0.592679	−	0.805439i	$-0.701930\pi$
$797$	9.15959	−	11.4858i	0.324449	−	0.406847i	0.917128	+	0.398592i	$0.130501\pi$
$798$	11.7728	−	37.7938i	0.416751	−	1.33789i
$799$	−14.0389	−	17.6043i	−0.496662	−	0.622794i
$800$	−10.2256	+	4.92438i	−0.361529	+	0.174103i
$801$	−1.28767	+	5.64166i	−0.0454977	+	0.199338i
$802$	−81.5851			−2.88087
$803$	10.7948			0.380942
$804$	−1.46852	+	6.43400i	−0.0517906	+	0.226910i
$805$	−4.29304	−	6.33441i	−0.151310	−	0.223259i
$806$	3.59445	+	15.7483i	0.126609	+	0.554711i
$807$	5.13344	+	22.4911i	0.180706	+	0.791723i
$808$	13.1235	+	16.4563i	0.461682	+	0.578931i
$809$	−21.0263	−	26.3662i	−0.739246	−	0.926985i	0.260008	−	0.965606i	$-0.416275\pi$
$809$	−21.0263	−	26.3662i	−0.739246	−	0.926985i	−0.999254	+	0.0386215i	$0.987703\pi$
$810$	4.96515	+	21.7537i	0.174458	+	0.764348i
$811$	−0.548666	−	2.40386i	−0.0192663	−	0.0844110i	0.964381	−	0.264518i	$-0.0852128\pi$
$811$	−0.548666	−	2.40386i	−0.0192663	−	0.0844110i	−0.983647	+	0.180107i	$0.942356\pi$
$812$	28.2633	−	30.2916i	0.991847	−	1.06303i
$813$	−4.23889	+	18.5718i	−0.148664	+	0.651340i
$814$	68.6662			2.40675
$815$	−13.4599			−0.471479
$816$	13.3290	−	58.3983i	0.466609	−	2.04435i
$817$	−32.7729	+	15.7826i	−1.14658	+	0.552164i
$818$	35.7319	+	44.8064i	1.24934	+	1.56662i
$819$	0.946515	−	1.01444i	0.0330739	−	0.0354475i
$820$	5.82962	−	7.31011i	0.203579	−	0.255280i
$821$	−11.3920	+	49.9117i	−0.397584	+	1.74193i	0.239277	+	0.970951i	$0.423090\pi$
$821$	−11.3920	+	49.9117i	−0.397584	+	1.74193i	−0.636861	+	0.770979i	$0.719767\pi$
$822$	−51.8958	+	65.0753i	−1.81007	+	2.26976i
$823$	45.4524	−	21.8887i	1.58437	−	0.762993i	0.585509	−	0.810666i	$-0.300895\pi$
$823$	45.4524	−	21.8887i	1.58437	−	0.762993i	0.998863	+	0.0476722i	$0.0151803\pi$
$824$	63.9624	+	80.2063i	2.22824	+	2.79412i
$825$	19.1730	+	9.23324i	0.667519	+	0.321460i
$826$	−39.3084	−	57.9998i	−1.36771	−	2.01807i
$827$	46.2792	−	22.2869i	1.60929	−	0.774992i	0.609446	−	0.792828i	$-0.291392\pi$
$827$	46.2792	−	22.2869i	1.60929	−	0.774992i	0.999841	+	0.0178360i	$0.00567767\pi$
$828$	6.70369	+	3.22832i	0.232969	+	0.112192i
$829$	2.78245	+	12.1907i	0.0966385	+	0.423401i	0.999985	−	0.00551096i	$-0.00175420\pi$
$829$	2.78245	+	12.1907i	0.0966385	+	0.423401i	−0.903346	+	0.428912i	$0.858897\pi$
$830$	−28.1545	−	13.5585i	−0.977255	−	0.470621i
$831$	28.5914	−	35.8525i	0.991825	−	1.24371i
$832$	4.46340			0.154741
$833$	39.6103	+	6.19522i	1.37242	+	0.214652i
$834$	−24.2120			−0.838393
$835$	−0.506157	+	0.634701i	−0.0175163	+	0.0219647i
$836$	32.5712	+	15.6855i	1.12650	+	0.542494i
$837$	6.68144	+	29.2733i	0.230944	+	1.01183i
$838$	−44.7282	−	21.5400i	−1.54511	−	0.744086i
$839$	−45.6818	+	21.9992i	−1.57711	+	0.759496i	−0.998428	−	0.0560562i	$-0.982147\pi$
$839$	−45.6818	+	21.9992i	−1.57711	+	0.759496i	−0.578683	+	0.815553i	$0.696433\pi$
$840$	−20.9487	−	12.1723i	−0.722798	−	0.419985i
$841$	13.9048	+	6.69622i	0.479477	+	0.230904i
$842$	−12.4534	−	15.6161i	−0.429172	−	0.538165i
$843$	−24.6463	+	11.8690i	−0.848862	+	0.408790i
$844$	−6.82867	+	8.56288i	−0.235052	+	0.294746i
$845$	0.192835	−	0.844865i	0.00663372	−	0.0290642i
$846$	3.21385	−	4.03004i	0.110494	−	0.138556i
$847$	−8.88272	−	5.16134i	−0.305214	−	0.177346i
$848$	4.24950	+	5.32870i	0.145928	+	0.182988i
$849$	15.7487	−	7.58417i	0.540494	−	0.260288i
$850$	−13.5395	+	59.3204i	−0.464401	+	2.03467i
$851$	−34.3579			−1.17777
$852$	−6.84680			−0.234567
$853$	4.41150	−	19.3281i	0.151047	−	0.661780i	−0.841535	−	0.540203i	$-0.818348\pi$
$853$	4.41150	−	19.3281i	0.151047	−	0.661780i	0.992582	−	0.121577i	$-0.0387953\pi$
$854$	−26.3531	−	2.04841i	−0.901783	−	0.0700953i
$855$	0.322332	+	1.41223i	0.0110235	+	0.0482973i
$856$	8.54920	+	37.4565i	0.292206	+	1.28024i
$857$	−22.1389	−	27.7613i	−0.756251	−	0.948309i	0.243516	−	0.969897i	$-0.421699\pi$
$857$	−22.1389	−	27.7613i	−0.756251	−	0.948309i	−0.999767	+	0.0215880i	$0.993128\pi$
$858$	7.80740	+	9.79017i	0.266540	+	0.334231i
$859$	−7.03494	−	30.8221i	−0.240029	−	1.05164i	−0.940990	−	0.338436i	$-0.890102\pi$
$859$	−7.03494	−	30.8221i	−0.240029	−	1.05164i	0.700961	−	0.713200i	$-0.252755\pi$
$860$	9.35531	+	40.9883i	0.319013	+	1.39769i
$861$	−12.5678	−	0.976890i	−0.428309	−	0.0332923i
$862$	−18.0856	+	79.2383i	−0.615999	+	2.69887i
$863$	−4.83565			−0.164607			−0.0823037	−	0.996607i	$-0.526228\pi$
$863$	−4.83565			−0.164607			−0.0823037	+	0.996607i	$0.526228\pi$
$864$	−12.4140			−0.422333
$865$	−2.45679	+	10.7639i	−0.0835334	+	0.365984i
$866$	87.9653	−	42.3618i	2.98918	−	1.43951i
$867$	−18.4977	−	23.1954i	−0.628214	−	0.787756i
$868$	−62.8318	−	36.5087i	−2.13265	−	1.23919i
$869$	−20.5414	+	25.7581i	−0.696818	+	0.873782i
$870$	−3.33389	+	14.6067i	−0.113030	+	0.495215i
$871$	0.515554	−	0.646484i	0.0174689	−	0.0219053i
$872$	−11.2791	+	5.43172i	−0.381958	+	0.183941i
$873$	−1.22901	−	1.54112i	−0.0415955	−	0.0521592i
$874$	−23.9644	−	11.5407i	−0.810609	−	0.390368i
$875$	18.3355	+	10.6539i	0.619852	+	0.360168i
$876$	−29.0965	+	14.0121i	−0.983079	+	0.473426i
$877$	−32.5475	−	15.6740i	−1.09905	−	0.529275i	−0.205691	−	0.978617i	$-0.565944\pi$
$877$	−32.5475	−	15.6740i	−1.09905	−	0.529275i	−0.893360	+	0.449342i	$0.851658\pi$
$878$	11.4355	+	50.1020i	0.385928	+	1.69086i
$879$	12.1013	+	5.82769i	0.408168	+	0.196563i
$880$	8.03008	−	10.0694i	0.270694	−	0.339440i
$881$	20.3469			0.685505			0.342753	−	0.939426i	$-0.388641\pi$
$881$	20.3469			0.685505			0.342753	+	0.939426i	$0.388641\pi$
$882$	0.635087	+	9.15599i	0.0213845	+	0.308298i
$883$	35.7048			1.20156			0.600781	−	0.799414i	$-0.294856\pi$
$883$	35.7048			1.20156			0.600781	+	0.799414i	$0.294856\pi$
$884$	−15.1813	+	19.0367i	−0.510602	+	0.640275i
$885$	15.5251	+	7.47651i	0.521871	+	0.251320i
$886$	−0.798359	−	3.49784i	−0.0268214	−	0.117512i
$887$	−9.01082	−	4.33938i	−0.302554	−	0.145702i	0.276447	−	0.961029i	$-0.410843\pi$
$887$	−9.01082	−	4.33938i	−0.302554	−	0.145702i	−0.579001	+	0.815327i	$0.696557\pi$
$888$	−98.0118	+	47.2000i	−3.28906	+	1.58393i
$889$	−17.8877	−	26.3935i	−0.599936	−	0.885210i
$890$	−21.5417	−	10.3739i	−0.722079	−	0.347735i
$891$	17.1293	+	21.4795i	0.573854	+	0.719590i
$892$	−61.3817	+	29.5599i	−2.05521	+	0.989738i
$893$	−7.81321	+	9.79746i	−0.261459	+	0.327860i
$894$	−4.84296	+	21.2184i	−0.161973	+	0.709650i
$895$	−5.71681	+	7.16866i	−0.191092	+	0.239622i
$896$	−29.7849	+	31.9224i	−0.995043	+	1.06645i
$897$	−3.90652	−	4.89862i	−0.130435	−	0.163560i
$898$	77.3041	−	37.2277i	2.57967	−	1.24230i
$899$	−5.29524	+	23.2000i	−0.176606	+	0.773763i
$900$	−9.47271			−0.315757
$901$	7.00713			0.233441
$902$	3.76687	−	16.5037i	0.125423	−	0.549514i
$903$	38.6685	−	41.4436i	1.28681	−	1.37916i
$904$	−23.3559	−	102.329i	−0.776805	−	3.40341i
$905$	3.01192	+	13.1961i	0.100120	+	0.438653i
$906$	−10.7776	−	13.5147i	−0.358062	−	0.448995i
$907$	0.928630	+	1.16447i	0.0308347	+	0.0386654i	0.797010	−	0.603966i	$-0.206414\pi$
$907$	0.928630	+	1.16447i	0.0308347	+	0.0386654i	−0.766175	+	0.642632i	$0.777842\pi$
$908$	9.19771	+	40.2978i	0.305237	+	1.33733i
$909$	0.436352	+	1.91178i	0.0144729	+	0.0634099i
$910$	3.21612	+	4.74540i	0.106613	+	0.157309i
$911$	−7.35800	+	32.2375i	−0.243781	+	1.06808i	0.693761	+	0.720205i	$0.255952\pi$
$911$	−7.35800	+	32.2375i	−0.243781	+	1.06808i	−0.937542	+	0.347871i	$0.886905\pi$
$912$	−33.3368			−1.10389
$913$	−38.4758			−1.27336
$914$	17.3617	−	76.0664i	0.574273	−	2.51605i
$915$	5.85696	−	2.82056i	0.193625	−	0.0932450i
$916$	42.2187	+	52.9406i	1.39494	+	1.74921i
$917$	−0.999238	+	3.20783i	−0.0329977	+	0.105932i
$918$	−41.4950	+	52.0330i	−1.36954	+	1.71735i
$919$	8.35087	−	36.5876i	0.275470	−	1.20691i	−0.627984	−	0.778226i	$-0.716120\pi$
$919$	8.35087	−	36.5876i	0.275470	−	1.20691i	0.903454	−	0.428686i	$-0.141023\pi$
$920$	−10.1503	+	12.7281i	−0.334646	+	0.419633i
$921$	33.7322	−	16.2446i	1.11151	−	0.535277i
$922$	−38.1758	−	47.8709i	−1.25725	−	1.57655i
$923$	0.772918	+	0.372218i	0.0254409	+	0.0122517i
$924$	−56.1635	−	4.36557i	−1.84764	−	0.143617i
$925$	39.4100	−	18.9789i	1.29579	−	0.624022i
$926$	−9.89963	−	4.76741i	−0.325322	−	0.156667i
$927$	2.12674	+	9.31784i	0.0698511	+	0.306038i
$928$	−8.86416	−	4.26876i	−0.290980	−	0.140129i
$929$	20.8981	−	26.2054i	0.685645	−	0.859772i	−0.310215	−	0.950666i	$-0.600401\pi$
$929$	20.8981	−	26.2054i	0.685645	−	0.859772i	0.995861	+	0.0908943i	$0.0289725\pi$
$930$	26.2796			0.861742
$931$	−1.54397	−	22.2592i	−0.0506015	−	0.729516i
$932$	−8.98249			−0.294231
$933$	−21.6505	+	27.1488i	−0.708805	+	0.888813i
$934$	23.8214	+	11.4718i	0.779461	+	0.375369i
$935$	−2.94641	−	12.9091i	−0.0963579	−	0.422172i
$936$	−2.65945	−	1.28072i	−0.0869268	−	0.0418617i
$937$	10.5192	−	5.06579i	0.343648	−	0.165492i	−0.254096	−	0.967179i	$-0.581778\pi$
$937$	10.5192	−	5.06579i	0.343648	−	0.165492i	0.597744	+	0.801687i	$0.296064\pi$
$938$	0.800238	+	5.41103i	0.0261287	+	0.176677i
$939$	−29.7867	−	14.3445i	−0.972052	−	0.468116i
$940$	9.03050	+	11.3239i	0.294542	+	0.369344i
$941$	−10.5376	+	5.07463i	−0.343515	+	0.165428i	−0.597684	−	0.801732i	$-0.703912\pi$
$941$	−10.5376	+	5.07463i	−0.343515	+	0.165428i	0.254169	+	0.967160i	$0.418198\pi$
$942$	11.1967	−	14.0402i	0.364809	−	0.457456i
$943$	−1.88479	+	8.25783i	−0.0613774	+	0.268912i
$944$	−36.7895	+	46.1326i	−1.19740	+	1.50149i
$945$	5.97819	+	8.82086i	0.194470	+	0.286943i
$946$	47.4586	+	59.5113i	1.54301	+	1.93488i
$947$	30.1283	−	14.5090i	0.979040	−	0.471481i	0.125265	−	0.992123i	$-0.460022\pi$
$947$	30.1283	−	14.5090i	0.979040	−	0.471481i	0.853775	+	0.520643i	$0.174308\pi$
$948$	21.9324	−	96.0919i	0.712330	−	3.12092i
$949$	4.04638			0.131351
$950$	33.8632			1.09867
$951$	−10.8509	+	47.5411i	−0.351866	+	1.54162i
$952$	−12.4786	−	84.3775i	−0.404433	−	2.73469i
$953$	−1.38030	−	6.04751i	−0.0447124	−	0.195898i	0.947639	−	0.319344i	$-0.103463\pi$
$953$	−1.38030	−	6.04751i	−0.0447124	−	0.195898i	−0.992351	+	0.123446i	$0.960605\pi$
$954$	0.356946	+	1.56388i	0.0115565	+	0.0506325i
$955$	6.78850	+	8.51251i	0.219671	+	0.275458i
$956$	32.9338	+	41.2977i	1.06515	+	1.33566i
$957$	4.10489	+	17.9847i	0.132692	+	0.581363i
$958$	−21.3214	−	93.4153i	−0.688864	−	3.01811i
$959$	−13.9531	+	44.7935i	−0.450571	+	1.44646i
$960$	1.61583	−	7.07939i	0.0521505	−	0.228486i
$961$	10.7401			0.346454
$962$	25.7391			0.829862
$963$	−0.796475	+	3.48959i	−0.0256661	+	0.112450i
$964$	−87.4216	+	42.1000i	−2.81566	+	1.35595i
$965$	10.3202	+	12.9412i	0.332221	+	0.416591i
$966$	41.3225	+	3.21199i	1.32953	+	0.103344i
$967$	−20.0614	+	25.1562i	−0.645132	+	0.808970i	−0.991634	−	0.129079i	$-0.958798\pi$
$967$	−20.0614	+	25.1562i	−0.645132	+	0.808970i	0.346502	+	0.938049i	$0.387369\pi$
$968$	−4.86354	+	21.3085i	−0.156320	+	0.684883i
$969$	−21.3690	+	26.7959i	−0.686471	+	0.860808i
$970$	7.33786	−	3.53373i	0.235605	−	0.113461i
$971$	11.3903	+	14.2830i	0.365532	+	0.458363i	0.930253	−	0.366919i	$-0.119588\pi$
$971$	11.3903	+	14.2830i	0.365532	+	0.458363i	−0.564721	+	0.825282i	$0.691016\pi$
$972$	−20.6476	−	9.94336i	−0.662272	−	0.318934i
$973$	−12.7178	+	4.95072i	−0.407715	+	0.158713i
$974$	−63.8984	+	30.7718i	−2.04744	+	0.985993i
$975$	7.18689	+	3.46102i	0.230165	+	0.110841i
$976$	4.95339	+	21.7022i	0.158554	+	0.694671i
$977$	−23.6798	−	11.4036i	−0.757585	−	0.364834i	0.0148815	−	0.999889i	$-0.495263\pi$
$977$	−23.6798	−	11.4036i	−0.757585	−	0.364834i	−0.772466	+	0.635056i	$0.780977\pi$
$978$	45.4552	−	56.9991i	1.45350	−	1.82263i
$979$	−29.4388			−0.940867
$980$	−25.4792	−	3.98506i	−0.813903	−	0.127298i
$981$	−1.16630			−0.0372372
$982$	−35.7501	+	44.8292i	−1.14083	+	1.43056i
$983$	−17.6514	−	8.50045i	−0.562991	−	0.271122i	0.130667	−	0.991426i	$-0.458288\pi$
$983$	−17.6514	−	8.50045i	−0.562991	−	0.271122i	−0.693659	+	0.720304i	$0.744002\pi$
$984$	5.96769	+	26.1461i	0.190243	+	0.833508i
$985$	0.511111	+	0.246138i	0.0162854	+	0.00784262i
$986$	−47.5217	+	22.8852i	−1.51340	+	0.728814i
$987$	5.80746	−	18.6435i	0.184853	−	0.593431i
$988$	12.2091	+	5.87961i	0.388424	+	0.187055i
$989$	−23.7465	−	29.7771i	−0.755094	−	0.946858i
$990$	2.73101	−	1.31519i	0.0867972	−	0.0417993i
$991$	34.0510	−	42.6986i	1.08167	−	1.35637i	0.151825	−	0.988407i	$-0.451485\pi$
$991$	34.0510	−	42.6986i	1.08167	−	1.35637i	0.929842	−	0.367960i	$-0.119944\pi$
$992$	−3.84005	+	16.8244i	−0.121922	+	0.534174i
$993$	9.28769	−	11.6464i	0.294736	−	0.369587i
$994$	−5.28834	+	2.05861i	−0.167736	+	0.0652951i
$995$	−0.636995	−	0.798767i	−0.0201941	−	0.0253226i
$996$	103.708	−	49.9430i	3.28611	−	1.58251i
$997$	3.82038	−	16.7382i	0.120993	−	0.530103i	−0.877711	−	0.479191i	$-0.840930\pi$
$997$	3.82038	−	16.7382i	0.120993	−	0.530103i	0.998703	−	0.0509119i	$-0.0162128\pi$
$998$	19.7140			0.624035
$999$	47.8444			1.51373

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	637.2.w.a.92.3	✓	162
49.8	even	7	inner	637.2.w.a.547.3	yes	162

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
637.2.w.a.92.3	✓	162	1.1	even	1	trivial
637.2.w.a.547.3	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)

\(f(q)\)	\(=\)	\(q+(-1.55889 + 1.95478i) q^{2} +(1.69142 + 0.814547i) q^{3} +(-0.946002 - 4.14471i) q^{4} +(0.780772 + 0.376000i) q^{5} +(-4.22900 + 2.03658i) q^{6} +(-1.80494 + 1.93447i) q^{7} +(5.07139 + 2.44225i) q^{8} +(0.326959 + 0.409994i) q^{9} +O(q^{10})\)	\(q+(-1.55889 + 1.95478i) q^{2} +(1.69142 + 0.814547i) q^{3} +(-0.946002 - 4.14471i) q^{4} +(0.780772 + 0.376000i) q^{5} +(-4.22900 + 2.03658i) q^{6} +(-1.80494 + 1.93447i) q^{7} +(5.07139 + 2.44225i) q^{8} +(0.326959 + 0.409994i) q^{9} +(-1.95213 + 0.940098i) q^{10} +(-1.66333 + 2.08575i) q^{11} +(1.77597 - 7.78102i) q^{12} +(-0.623490 + 0.781831i) q^{13} +(-0.967776 - 6.54389i) q^{14} +(1.01435 + 1.27195i) q^{15} +(-5.01922 + 2.41713i) q^{16} +(-1.27447 + 5.58381i) q^{17} -1.31114 q^{18} +3.18753 q^{19} +(0.819798 - 3.59177i) q^{20} +(-4.62864 + 1.80181i) q^{21} +(-1.48424 - 6.50290i) q^{22} +(0.742658 + 3.25380i) q^{23} +(6.58854 + 8.26177i) q^{24} +(-2.64922 - 3.32202i) q^{25} +(-0.556360 - 2.43757i) q^{26} +(-1.03417 - 4.53101i) q^{27} +(9.72530 + 5.65093i) q^{28} +(0.819614 - 3.59096i) q^{29} -4.06764 q^{30} -6.46065 q^{31} +(0.594375 - 2.60413i) q^{32} +(-4.51234 + 2.17303i) q^{33} +(-8.92838 - 11.1958i) q^{34} +(-2.13661 + 0.831726i) q^{35} +(1.39000 - 1.74301i) q^{36} +(-2.29076 + 10.0365i) q^{37} +(-4.96899 + 6.23092i) q^{38} +(-1.69142 + 0.814547i) q^{39} +(3.04131 + 3.81369i) q^{40} +(2.28657 + 1.10115i) q^{41} +(3.69338 - 11.8568i) q^{42} +(-10.2816 + 4.95136i) q^{43} +(10.2183 + 4.92089i) q^{44} +(0.101123 + 0.443049i) q^{45} +(-7.51818 - 3.62057i) q^{46} +(-2.45118 + 3.07369i) q^{47} -10.4585 q^{48} +(-0.484378 - 6.98322i) q^{49} +10.6236 q^{50} +(-6.70394 + 8.40648i) q^{51} +(3.83028 + 1.84457i) q^{52} +(-0.272240 - 1.19276i) q^{53} +(10.4693 + 5.04175i) q^{54} +(-2.08293 + 1.00308i) q^{55} +(-13.8780 + 5.40235i) q^{56} +(5.39146 + 2.59639i) q^{57} +(5.74186 + 7.20007i) q^{58} +(9.54284 - 4.59559i) q^{59} +(4.31229 - 5.40744i) q^{60} +(0.889152 - 3.89563i) q^{61} +(10.0714 - 12.6292i) q^{62} +(-1.38327 - 0.107521i) q^{63} +(-2.78289 - 3.48963i) q^{64} +(-0.780772 + 0.376000i) q^{65} +(2.78643 - 12.2081i) q^{66} -0.826884 q^{67} +24.3489 q^{68} +(-1.39422 + 6.10848i) q^{69} +(1.70489 - 5.47317i) q^{70} +(-0.190895 - 0.836366i) q^{71} +(0.656829 + 2.87776i) q^{72} +(-2.52288 - 3.16359i) q^{73} +(-16.0481 - 20.1236i) q^{74} +(-1.77502 - 7.77685i) q^{75} +(-3.01541 - 13.2114i) q^{76} +(-1.03262 - 6.98233i) q^{77} +(1.04448 - 4.57615i) q^{78} +12.3495 q^{79} -4.82771 q^{80} +(2.29157 - 10.0400i) q^{81} +(-5.71702 + 2.75317i) q^{82} +(8.99222 + 11.2759i) q^{83} +(11.8467 + 17.4798i) q^{84} +(-3.09458 + 3.88049i) q^{85} +(6.34903 - 27.8169i) q^{86} +(4.31132 - 5.40623i) q^{87} +(-13.5293 + 6.51539i) q^{88} +(6.88018 + 8.62747i) q^{89} +(-1.02370 - 0.492989i) q^{90} +(-0.387070 - 2.61728i) q^{91} +(12.7835 - 6.15620i) q^{92} +(-10.9277 - 5.26251i) q^{93} +(-2.18727 - 9.58305i) q^{94} +(2.48873 + 1.19851i) q^{95} +(3.12652 - 3.92053i) q^{96} -3.75889 q^{97} +(14.4058 + 9.93919i) q^{98} -1.39899 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

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