LMFDB - Embedded newform 637.2.w.b.92.19

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:	$174$
Relative dimension:	$29$ over $\Q(\zeta_{7})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label			92.19
Character	$\chi$	$=$	637.92
Dual form			637.2.w.b.547.19

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.708170 - 0.888017i) q^{2} +(0.627836 + 0.302350i) q^{3} +(0.157972 + 0.692122i) q^{4} +(-3.97243 - 1.91302i) q^{5} +(0.713107 - 0.343414i) q^{6} +(2.60413 + 0.467470i) q^{7} +(2.77316 + 1.33548i) q^{8} +(-1.56771 - 1.96584i) q^{9} +O(q^{10})$	\(q+(0.708170 - 0.888017i) q^{2} +(0.627836 + 0.302350i) q^{3} +(0.157972 + 0.692122i) q^{4} +(-3.97243 - 1.91302i) q^{5} +(0.713107 - 0.343414i) q^{6} +(2.60413 + 0.467470i) q^{7} +(2.77316 + 1.33548i) q^{8} +(-1.56771 - 1.96584i) q^{9} +(-4.51195 + 2.17284i) q^{10} +(1.80462 - 2.26292i) q^{11} +(-0.110082 + 0.482302i) q^{12} +(0.623490 - 0.781831i) q^{13} +(2.25929 - 1.98146i) q^{14} +(-1.91563 - 2.40213i) q^{15} +(1.87056 - 0.900816i) q^{16} +(1.30734 - 5.72783i) q^{17} -2.85590 q^{18} +4.11958 q^{19} +(0.696510 - 3.05161i) q^{20} +(1.49362 + 1.08085i) q^{21} +(-0.731535 - 3.20506i) q^{22} +(-0.512493 - 2.24538i) q^{23} +(1.33731 + 1.67693i) q^{24} +(9.00309 + 11.2895i) q^{25} +(-0.252743 - 1.10734i) q^{26} +(-0.855079 - 3.74635i) q^{27} +(0.0878332 + 1.87622i) q^{28} +(0.517223 - 2.26610i) q^{29} -3.48972 q^{30} -0.842194 q^{31} +(-0.845090 + 3.70258i) q^{32} +(1.81720 - 0.875117i) q^{33} +(-4.16060 - 5.21722i) q^{34} +(-9.45042 - 6.83874i) q^{35} +(1.11295 - 1.39559i) q^{36} +(-0.380259 + 1.66603i) q^{37} +(2.91736 - 3.65826i) q^{38} +(0.627836 - 0.302350i) q^{39} +(-8.46136 - 10.6102i) q^{40} +(-9.27974 - 4.46889i) q^{41} +(2.01756 - 0.560937i) q^{42} +(5.82248 - 2.80396i) q^{43} +(1.85130 + 0.891538i) q^{44} +(2.46691 + 10.8082i) q^{45} +(-2.35687 - 1.13501i) q^{46} +(-2.77351 + 3.47788i) q^{47} +1.44677 q^{48} +(6.56294 + 2.43470i) q^{49} +16.4010 q^{50} +(2.55261 - 3.20087i) q^{51} +(0.639617 + 0.308023i) q^{52} +(2.14911 + 9.41585i) q^{53} +(-3.93236 - 1.89372i) q^{54} +(-11.4977 + 5.53701i) q^{55} +(6.59735 + 4.77413i) q^{56} +(2.58642 + 1.24556i) q^{57} +(-1.64606 - 2.06409i) q^{58} +(-8.83649 + 4.25543i) q^{59} +(1.35995 - 1.70532i) q^{60} +(2.07811 - 9.10480i) q^{61} +(-0.596417 + 0.747883i) q^{62} +(-3.16353 - 5.85216i) q^{63} +(5.27843 + 6.61894i) q^{64} +(-3.97243 + 1.91302i) q^{65} +(0.509767 - 2.23343i) q^{66} -4.00026 q^{67} +4.17088 q^{68} +(0.357128 - 1.56468i) q^{69} +(-12.7654 + 3.54915i) q^{70} +(0.400295 + 1.75381i) q^{71} +(-1.72215 - 7.54523i) q^{72} +(8.39858 + 10.5315i) q^{73} +(1.21017 + 1.51751i) q^{74} +(2.23908 + 9.81005i) q^{75} +(0.650780 + 2.85125i) q^{76} +(5.75730 - 5.04932i) q^{77} +(0.176123 - 0.771644i) q^{78} -5.16899 q^{79} -9.15396 q^{80} +(-1.08267 + 4.74347i) q^{81} +(-10.5401 + 5.07584i) q^{82} +(1.49996 + 1.88089i) q^{83} +(-0.512130 + 1.20452i) q^{84} +(-16.1508 + 20.2524i) q^{85} +(1.63334 - 7.15614i) q^{86} +(1.00989 - 1.26636i) q^{87} +(8.02658 - 3.86540i) q^{88} +(6.27799 + 7.87235i) q^{89} +(11.3449 + 5.46340i) q^{90} +(1.98913 - 1.74452i) q^{91} +(1.47312 - 0.709415i) q^{92} +(-0.528760 - 0.254637i) q^{93} +(1.12429 + 4.92585i) q^{94} +(-16.3647 - 7.88084i) q^{95} +(-1.65005 + 2.06910i) q^{96} -4.53569 q^{97} +(6.80974 - 4.10382i) q^{98} -7.27766 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 174 q - 3 q^{2} - 31 q^{4} - 4 q^{5} - 2 q^{6} + 9 q^{7} - 15 q^{8} - 31 q^{9}+O(q^{10}) $ 174 * q - 3 * q^2 - 31 * q^4 - 4 * q^5 - 2 * q^6 + 9 * q^7 - 15 * q^8 - 31 * q^9	\( 174 q - 3 q^{2} - 31 q^{4} - 4 q^{5} - 2 q^{6} + 9 q^{7} - 15 q^{8} - 31 q^{9} - 10 q^{10} - 5 q^{11} + 25 q^{12} - 29 q^{13} + 15 q^{14} - 10 q^{15} - 51 q^{16} - 9 q^{17} + 44 q^{18} + 24 q^{19} + 63 q^{20} - 28 q^{21} - 8 q^{22} - 13 q^{23} - 48 q^{24} - 49 q^{25} - 3 q^{26} - 9 q^{27} - 44 q^{28} + 2 q^{29} - 22 q^{30} + 10 q^{31} + 24 q^{32} - 26 q^{33} + 118 q^{34} + 5 q^{35} - 55 q^{36} - 32 q^{37} + 16 q^{38} + 42 q^{40} - 14 q^{41} + 4 q^{42} - 50 q^{43} + 35 q^{44} - q^{45} + 4 q^{46} - 24 q^{47} - 116 q^{48} - 25 q^{49} + 156 q^{50} + 12 q^{51} - 31 q^{52} - 30 q^{53} - 78 q^{54} + 25 q^{55} + 3 q^{56} - 63 q^{57} - 12 q^{58} - 4 q^{59} + 128 q^{60} - 42 q^{61} - 38 q^{62} - 85 q^{63} - 105 q^{64} - 4 q^{65} + 15 q^{66} + 94 q^{67} + 214 q^{68} + 32 q^{69} - 57 q^{70} - 29 q^{71} - 64 q^{72} - 66 q^{73} - 90 q^{74} + 131 q^{75} - 21 q^{76} - 82 q^{77} + 19 q^{78} + 6 q^{79} + 22 q^{80} + 49 q^{81} - 50 q^{82} + 25 q^{83} + 89 q^{84} - 86 q^{85} - 28 q^{86} + 24 q^{87} + 48 q^{88} - 50 q^{89} - 155 q^{90} - 5 q^{91} - 98 q^{92} + 89 q^{93} - 28 q^{94} - 130 q^{95} - 105 q^{96} - 42 q^{97} + 195 q^{98} + 438 q^{99}+O(q^{100}) \) 174 * q - 3 * q^2 - 31 * q^4 - 4 * q^5 - 2 * q^6 + 9 * q^7 - 15 * q^8 - 31 * q^9 - 10 * q^10 - 5 * q^11 + 25 * q^12 - 29 * q^13 + 15 * q^14 - 10 * q^15 - 51 * q^16 - 9 * q^17 + 44 * q^18 + 24 * q^19 + 63 * q^20 - 28 * q^21 - 8 * q^22 - 13 * q^23 - 48 * q^24 - 49 * q^25 - 3 * q^26 - 9 * q^27 - 44 * q^28 + 2 * q^29 - 22 * q^30 + 10 * q^31 + 24 * q^32 - 26 * q^33 + 118 * q^34 + 5 * q^35 - 55 * q^36 - 32 * q^37 + 16 * q^38 + 42 * q^40 - 14 * q^41 + 4 * q^42 - 50 * q^43 + 35 * q^44 - q^45 + 4 * q^46 - 24 * q^47 - 116 * q^48 - 25 * q^49 + 156 * q^50 + 12 * q^51 - 31 * q^52 - 30 * q^53 - 78 * q^54 + 25 * q^55 + 3 * q^56 - 63 * q^57 - 12 * q^58 - 4 * q^59 + 128 * q^60 - 42 * q^61 - 38 * q^62 - 85 * q^63 - 105 * q^64 - 4 * q^65 + 15 * q^66 + 94 * q^67 + 214 * q^68 + 32 * q^69 - 57 * q^70 - 29 * q^71 - 64 * q^72 - 66 * q^73 - 90 * q^74 + 131 * q^75 - 21 * q^76 - 82 * q^77 + 19 * q^78 + 6 * q^79 + 22 * q^80 + 49 * q^81 - 50 * q^82 + 25 * q^83 + 89 * q^84 - 86 * q^85 - 28 * q^86 + 24 * q^87 + 48 * q^88 - 50 * q^89 - 155 * q^90 - 5 * q^91 - 98 * q^92 + 89 * q^93 - 28 * q^94 - 130 * q^95 - 105 * q^96 - 42 * q^97 + 195 * q^98 + 438 * 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 $

$2$	0.708170	−	0.888017i	0.500752	−	0.627923i	−0.465647	−	0.884971i	$-0.654178\pi$
$2$	0.708170	−	0.888017i	0.500752	−	0.627923i	0.966399	+	0.257048i	$0.0827498\pi$
$3$	0.627836	+	0.302350i	0.362481	+	0.174562i	0.606255	−	0.795270i	$-0.292671\pi$
$3$	0.627836	+	0.302350i	0.362481	+	0.174562i	−0.243774	+	0.969832i	$0.578385\pi$
$4$	0.157972	+	0.692122i	0.0789862	+	0.346061i
$5$	−3.97243	−	1.91302i	−1.77652	−	0.855529i	−0.960876	−	0.276981i	$-0.910666\pi$
$5$	−3.97243	−	1.91302i	−1.77652	−	0.855529i	−0.815648	−	0.578548i	$-0.803619\pi$
$6$	0.713107	−	0.343414i	0.291125	−	0.140198i
$7$	2.60413	+	0.467470i	0.984267	+	0.176687i
$7$	2.60413	+	0.467470i	0.984267	+	0.176687i
$8$	2.77316	+	1.33548i	0.980459	+	0.472164i
$9$	−1.56771	−	1.96584i	−0.522569	−	0.655281i
$10$	−4.51195	+	2.17284i	−1.42680	+	0.687112i
$11$	1.80462	−	2.26292i	0.544113	−	0.682296i	−0.431419	−	0.902151i	$-0.641987\pi$
$11$	1.80462	−	2.26292i	0.544113	−	0.682296i	0.975532	+	0.219855i	$0.0705585\pi$
$12$	−0.110082	+	0.482302i	−0.0317780	+	0.139229i
$13$	0.623490	−	0.781831i	0.172925	−	0.216841i
$13$	0.623490	−	0.781831i	0.172925	−	0.216841i
$14$	2.25929	−	1.98146i	0.603819	−	0.529567i
$15$	−1.91563	−	2.40213i	−0.494614	−	0.620226i
$16$	1.87056	−	0.900816i	0.467641	−	0.225204i
$17$	1.30734	−	5.72783i	0.317077	−	1.38920i	−0.525576	−	0.850747i	$-0.676150\pi$
$17$	1.30734	−	5.72783i	0.317077	−	1.38920i	0.842653	−	0.538457i	$-0.180993\pi$
$18$	−2.85590			−0.673143
$19$	4.11958			0.945097			0.472548	−	0.881305i	$-0.343334\pi$
$19$	4.11958			0.945097			0.472548	+	0.881305i	$0.343334\pi$
$20$	0.696510	−	3.05161i	0.155744	−	0.682361i
$21$	1.49362	+	1.08085i	0.325936	+	0.235861i
$22$	−0.731535	−	3.20506i	−0.155964	−	0.683322i
$23$	−0.512493	−	2.24538i	−0.106862	−	0.468194i	−0.999836	−	0.0180859i	$-0.994243\pi$
$23$	−0.512493	−	2.24538i	−0.106862	−	0.468194i	0.892974	−	0.450108i	$-0.148614\pi$
$24$	1.33731	+	1.67693i	0.272976	+	0.342302i
$25$	9.00309	+	11.2895i	1.80062	+	2.25790i
$26$	−0.252743	−	1.10734i	−0.0495670	−	0.217167i
$27$	−0.855079	−	3.74635i	−0.164560	−	0.720984i
$28$	0.0878332	+	1.87622i	0.0165989	+	0.354572i
$29$	0.517223	−	2.26610i	0.0960460	−	0.420805i	−0.903930	−	0.427680i	$-0.859331\pi$
$29$	0.517223	−	2.26610i	0.0960460	−	0.420805i	0.999976	+	0.00687470i	$0.00218830\pi$
$30$	−3.48972			−0.637133
$31$	−0.842194			−0.151263			−0.0756313	−	0.997136i	$-0.524097\pi$
$31$	−0.842194			−0.151263			−0.0756313	+	0.997136i	$0.524097\pi$
$32$	−0.845090	+	3.70258i	−0.149392	+	0.654530i
$33$	1.81720	−	0.875117i	0.316334	−	0.152338i
$34$	−4.16060	−	5.21722i	−0.713536	−	0.894746i
$35$	−9.45042	−	6.83874i	−1.59741	−	1.15596i
$36$	1.11295	−	1.39559i	0.185491	−	0.232599i
$37$	−0.380259	+	1.66603i	−0.0625143	+	0.273893i	−0.996519	−	0.0833682i	$-0.973432\pi$
$37$	−0.380259	+	1.66603i	−0.0625143	+	0.273893i	0.934005	+	0.357261i	$0.116289\pi$
$38$	2.91736	−	3.65826i	0.473259	−	0.593448i
$39$	0.627836	−	0.302350i	0.100534	−	0.0484147i
$40$	−8.46136	−	10.6102i	−1.33786	−	1.67762i
$41$	−9.27974	−	4.46889i	−1.44925	−	0.697923i	−0.466787	−	0.884370i	$-0.654589\pi$
$41$	−9.27974	−	4.46889i	−1.44925	−	0.697923i	−0.982465	+	0.186447i	$0.940303\pi$
$42$	2.01756	−	0.560937i	0.311316	−	0.0865545i
$43$	5.82248	−	2.80396i	0.887920	−	0.427600i	0.0664090	−	0.997792i	$-0.478846\pi$
$43$	5.82248	−	2.80396i	0.887920	−	0.427600i	0.821511	+	0.570193i	$0.193131\pi$
$44$	1.85130	+	0.891538i	0.279093	+	0.134404i
$45$	2.46691	+	10.8082i	0.367745	+	1.61119i
$46$	−2.35687	−	1.13501i	−0.347501	−	0.167348i
$47$	−2.77351	+	3.47788i	−0.404559	+	0.507300i	−0.941821	−	0.336115i	$-0.890887\pi$
$47$	−2.77351	+	3.47788i	−0.404559	+	0.507300i	0.537263	+	0.843415i	$0.319458\pi$
$48$	1.44677			0.208823
$49$	6.56294	+	2.43470i	0.937563	+	0.347815i
$50$	16.4010			2.31945
$51$	2.55261	−	3.20087i	0.357436	−	0.448211i
$52$	0.639617	+	0.308023i	0.0886989	+	0.0427151i
$53$	2.14911	+	9.41585i	0.295202	+	1.29337i	0.877180	+	0.480162i	$0.159422\pi$
$53$	2.14911	+	9.41585i	0.295202	+	1.29337i	−0.581978	+	0.813205i	$0.697721\pi$
$54$	−3.93236	−	1.89372i	−0.535126	−	0.257703i
$55$	−11.4977	+	5.53701i	−1.55035	+	0.746611i
$56$	6.59735	+	4.77413i	0.881608	+	0.637970i
$57$	2.58642	+	1.24556i	0.342580	+	0.164978i
$58$	−1.64606	−	2.06409i	−0.216138	−	0.271028i
$59$	−8.83649	+	4.25543i	−1.15041	+	0.554010i	−0.909158	−	0.416452i	$-0.863273\pi$
$59$	−8.83649	+	4.25543i	−1.15041	+	0.554010i	−0.241255	+	0.970462i	$0.577559\pi$
$60$	1.35995	−	1.70532i	0.175569	−	0.220156i
$61$	2.07811	−	9.10480i	0.266075	−	1.16575i	−0.648462	−	0.761247i	$-0.724587\pi$
$61$	2.07811	−	9.10480i	0.266075	−	1.16575i	0.914537	−	0.404503i	$-0.132556\pi$
$62$	−0.596417	+	0.747883i	−0.0757450	+	0.0949812i
$63$	−3.16353	−	5.85216i	−0.398568	−	0.737302i
$64$	5.27843	+	6.61894i	0.659803	+	0.827367i
$65$	−3.97243	+	1.91302i	−0.492719	+	0.237281i
$66$	0.509767	−	2.23343i	0.0627480	−	0.274917i
$67$	−4.00026			−0.488709			−0.244355	−	0.969686i	$-0.578576\pi$
$67$	−4.00026			−0.488709			−0.244355	+	0.969686i	$0.578576\pi$
$68$	4.17088			0.505794
$69$	0.357128	−	1.56468i	0.0429932	−	0.188365i
$70$	−12.7654	+	3.54915i	−1.52576	+	0.424204i
$71$	0.400295	+	1.75381i	0.0475063	+	0.208139i	0.993111	−	0.117180i	$-0.0373855\pi$
$71$	0.400295	+	1.75381i	0.0475063	+	0.208139i	−0.945604	+	0.325319i	$0.894528\pi$
$72$	−1.72215	−	7.54523i	−0.202957	−	0.889214i
$73$	8.39858	+	10.5315i	0.982980	+	1.23262i	0.972555	+	0.232672i	$0.0747468\pi$
$73$	8.39858	+	10.5315i	0.982980	+	1.23262i	0.0104244	+	0.999946i	$0.496682\pi$
$74$	1.21017	+	1.51751i	0.140679	+	0.176406i
$75$	2.23908	+	9.81005i	0.258547	+	1.13277i
$76$	0.650780	+	2.85125i	0.0746496	+	0.327061i
$77$	5.75730	−	5.04932i	0.656106	−	0.575424i
$78$	0.176123	−	0.771644i	0.0199420	−	0.0873715i
$79$	−5.16899			−0.581557			−0.290778	−	0.956790i	$-0.593914\pi$
$79$	−5.16899			−0.581557			−0.290778	+	0.956790i	$0.593914\pi$
$80$	−9.15396			−1.02344
$81$	−1.08267	+	4.74347i	−0.120296	+	0.527052i
$82$	−10.5401	+	5.07584i	−1.16396	+	0.560532i
$83$	1.49996	+	1.88089i	0.164642	+	0.206455i	0.857308	−	0.514804i	$-0.172135\pi$
$83$	1.49996	+	1.88089i	0.164642	+	0.206455i	−0.692666	+	0.721259i	$0.743564\pi$
$84$	−0.512130	+	1.20452i	−0.0558780	+	0.131423i
$85$	−16.1508	+	20.2524i	−1.75180	+	2.19669i
$86$	1.63334	−	7.15614i	0.176128	−	0.771667i
$87$	1.00989	−	1.26636i	0.108271	−	0.135768i
$88$	8.02658	−	3.86540i	0.855637	−	0.412053i
$89$	6.27799	+	7.87235i	0.665466	+	0.834468i	0.993926	−	0.110050i	$-0.0351011\pi$
$89$	6.27799	+	7.87235i	0.665466	+	0.834468i	−0.328460	+	0.944518i	$0.606530\pi$
$90$	11.3449	+	5.46340i	1.19585	+	0.575893i
$91$	1.98913	−	1.74452i	0.208517	−	0.182876i
$92$	1.47312	−	0.709415i	0.153583	−	0.0739616i
$93$	−0.528760	−	0.254637i	−0.0548299	−	0.0264047i
$94$	1.12429	+	4.92585i	0.115962	+	0.508063i
$95$	−16.3647	−	7.88084i	−1.67899	−	0.808557i
$96$	−1.65005	+	2.06910i	−0.168408	+	0.211177i
$97$	−4.53569			−0.460529			−0.230265	−	0.973128i	$-0.573959\pi$
$97$	−4.53569			−0.460529			−0.230265	+	0.973128i	$0.573959\pi$
$98$	6.80974	−	4.10382i	0.687887	−	0.414548i
$99$	−7.27766			−0.731432
$100$	−6.39148	+	8.01467i	−0.639148	+	0.801467i
$101$	3.85772	+	1.85778i	0.383857	+	0.184856i	0.615853	−	0.787861i	$-0.288811\pi$
$101$	3.85772	+	1.85778i	0.383857	+	0.184856i	−0.231996	+	0.972717i	$0.574526\pi$
$102$	−1.03475	−	4.53352i	−0.102455	−	0.448885i
$103$	−15.8672	−	7.64125i	−1.56344	−	0.752914i	−0.566002	−	0.824404i	$-0.691510\pi$
$103$	−15.8672	−	7.64125i	−1.56344	−	0.752914i	−0.997441	+	0.0714897i	$0.977225\pi$
$104$	2.77316	−	1.33548i	0.271930	−	0.130955i
$105$	−3.86562	−	7.15094i	−0.377246	−	0.697860i
$106$	9.88337	+	4.75958i	0.959957	+	0.462291i
$107$	0.210922	+	0.264488i	0.0203906	+	0.0255690i	0.791922	−	0.610622i	$-0.209080\pi$
$107$	0.210922	+	0.264488i	0.0203906	+	0.0255690i	−0.771532	+	0.636191i	$0.780509\pi$
$108$	2.45785	−	1.18364i	0.236507	−	0.113896i
$109$	3.73064	−	4.67807i	0.357330	−	0.448078i	−0.570379	−	0.821382i	$-0.693204\pi$
$109$	3.73064	−	4.67807i	0.357330	−	0.448078i	0.927709	+	0.373304i	$0.121775\pi$
$110$	−3.22538	+	14.1313i	−0.307528	+	1.34737i
$111$	−0.742463	+	0.931020i	−0.0704715	+	0.0883685i
$112$	5.29229	−	1.47141i	0.500074	−	0.139035i
$113$	7.49123	+	9.39371i	0.704716	+	0.883686i	0.997366	−	0.0725338i	$-0.0231085\pi$
$113$	7.49123	+	9.39371i	0.704716	+	0.883686i	−0.292650	+	0.956220i	$0.594537\pi$
$114$	2.93770	−	1.41472i	0.275141	−	0.132501i
$115$	−2.25961	+	9.90001i	−0.210710	+	0.923181i
$116$	1.65013			0.153210
$117$	−2.51441			−0.232457
$118$	−2.47884	+	10.8605i	−0.228196	+	0.999792i
$119$	6.08207	−	14.3049i	0.557543	−	1.31132i
$120$	−2.10435	−	9.21977i	−0.192100	−	0.841646i
$121$	0.583571	+	2.55679i	0.0530519	+	0.232436i
$122$	−6.61356	−	8.29315i	−0.598764	−	0.750826i
$123$	−4.47499	−	5.61146i	−0.403496	−	0.505968i
$124$	−0.133043	−	0.582901i	−0.0119476	−	0.0523461i
$125$	−9.26150	−	40.5773i	−0.828374	−	3.62934i
$126$	−7.43713	−	1.33505i	−0.662552	−	0.118936i
$127$	−0.00935095	+	0.0409692i	−0.000829763	+	0.00363543i	−0.975341	−	0.220703i	$-0.929165\pi$
$127$	−0.00935095	+	0.0409692i	−0.000829763	+	0.00363543i	0.974511	+	0.224338i	$0.0720220\pi$
$128$	2.02016			0.178558
$129$	4.50334			0.396497
$130$	−1.11436	+	4.88233i	−0.0977358	+	0.428208i
$131$	19.0664	−	9.18192i	1.66584	−	0.802228i	0.667505	−	0.744605i	$-0.267362\pi$
$131$	19.0664	−	9.18192i	1.66584	−	0.802228i	0.998338	−	0.0576226i	$-0.0183520\pi$
$132$	0.892755	+	1.11948i	0.0777043	+	0.0974381i
$133$	10.7279	+	1.92578i	0.930228	+	0.166987i
$134$	−2.83286	+	3.55230i	−0.244722	+	0.306872i
$135$	−3.77010	+	16.5179i	−0.324478	+	1.42163i
$136$	11.2749	−	14.1383i	0.966813	−	1.21235i
$137$	−1.97131	+	0.949331i	−0.168420	+	0.0811068i	−0.516194	−	0.856471i	$-0.672652\pi$
$137$	−1.97131	+	0.949331i	−0.168420	+	0.0811068i	0.347774	+	0.937578i	$0.386938\pi$
$138$	−1.13656	−	1.42520i	−0.0967501	−	0.121321i
$139$	−13.6820	−	6.58890i	−1.16049	−	0.558864i	−0.248323	−	0.968677i	$-0.579879\pi$
$139$	−13.6820	−	6.58890i	−1.16049	−	0.558864i	−0.912169	+	0.409814i	$0.865594\pi$
$140$	3.24034	−	7.62118i	0.273858	−	0.644107i
$141$	−2.79285	+	1.34496i	−0.235200	+	0.113266i
$142$	1.84089	+	0.886525i	0.154484	+	0.0743955i
$143$	−0.644061	−	2.82182i	−0.0538591	−	0.235972i
$144$	−4.70336	−	2.26502i	−0.391946	−	0.188751i
$145$	−6.38974	+	8.01247i	−0.530639	+	0.665400i
$146$	15.2998			1.26622
$147$	3.38432	+	3.51290i	0.279134	+	0.289739i
$148$	−1.21316			−0.0997214
$149$	−4.64154	+	5.82031i	−0.380250	+	0.476818i	−0.934720	−	0.355386i	$-0.884350\pi$
$149$	−4.64154	+	5.82031i	−0.380250	+	0.476818i	0.554470	+	0.832204i	$0.312921\pi$
$150$	10.2971	+	4.95884i	0.840758	+	0.404888i
$151$	−0.483859	−	2.11992i	−0.0393758	−	0.172517i	0.951417	−	0.307907i	$-0.0996285\pi$
$151$	−0.483859	−	2.11992i	−0.0393758	−	0.172517i	−0.990792	+	0.135390i	$0.956771\pi$
$152$	11.4242	+	5.50163i	0.926629	+	0.446241i
$153$	−13.3095	+	6.40954i	−1.07601	+	0.518181i
$154$	−0.406736	−	8.68836i	−0.0327757	−	0.700128i
$155$	3.34556	+	1.61113i	0.268721	+	0.129409i
$156$	0.308444	+	0.386776i	0.0246953	+	0.0309669i
$157$	−7.32311	+	3.52662i	−0.584448	+	0.281455i	−0.702651	−	0.711534i	$-0.748001\pi$
$157$	−7.32311	+	3.52662i	−0.584448	+	0.281455i	0.118204	+	0.992989i	$0.462286\pi$
$158$	−3.66052	+	4.59015i	−0.291216	+	0.365173i
$159$	−1.49759	+	6.56139i	−0.118767	+	0.520352i
$160$	10.4402	−	13.0916i	0.825368	−	1.03498i
$161$	−0.284948	−	6.08682i	−0.0224570	−	0.479709i
$162$	3.44557	+	4.32061i	0.270710	+	0.339459i
$163$	13.2270	−	6.36978i	1.03602	−	0.498919i	0.163008	−	0.986625i	$-0.447880\pi$
$163$	13.2270	−	6.36978i	1.03602	−	0.498919i	0.873008	+	0.487705i	$0.162166\pi$
$164$	1.62707	−	7.12867i	0.127053	−	0.556656i
$165$	−8.89281			−0.692304
$166$	2.73249			0.212082
$167$	−4.93963	+	21.6419i	−0.382240	+	1.67470i	0.308208	+	0.951319i	$0.400271\pi$
$167$	−4.93963	+	21.6419i	−0.382240	+	1.67470i	−0.690448	+	0.723382i	$0.742586\pi$
$168$	2.69860	+	4.99208i	0.208201	+	0.385148i
$169$	−0.222521	−	0.974928i	−0.0171170	−	0.0749945i
$170$	6.54701	+	28.6843i	0.502133	+	2.19999i
$171$	−6.45829	−	8.09845i	−0.493878	−	0.619304i
$172$	2.86047	+	3.58692i	0.218109	+	0.273500i
$173$	4.93672	+	21.6292i	0.375332	+	1.64444i	0.711538	+	0.702647i	$0.247999\pi$
$173$	4.93672	+	21.6292i	0.375332	+	1.64444i	−0.336207	+	0.941788i	$0.609144\pi$
$174$	−0.409376	−	1.79360i	−0.0310347	−	0.135972i
$175$	18.1677	+	33.6080i	1.37335	+	2.54053i
$176$	1.33718	−	5.85857i	0.100794	−	0.441606i
$177$	−6.83450			−0.513712
$178$	11.4367			0.857215
$179$	0.443220	−	1.94187i	0.0331278	−	0.145143i	−0.955659	−	0.294475i	$-0.904855\pi$
$179$	0.443220	−	1.94187i	0.0331278	−	0.145143i	0.988787	+	0.149332i	$0.0477124\pi$
$180$	−7.09090	+	3.41480i	−0.528525	+	0.254524i
$181$	5.56949	+	6.98391i	0.413977	+	0.519110i	0.944478	−	0.328574i	$-0.106568\pi$
$181$	5.56949	+	6.98391i	0.413977	+	0.519110i	−0.530502	+	0.847684i	$0.677996\pi$
$182$	−0.140526	−	3.00180i	−0.0104165	−	0.222508i
$183$	4.05755	−	5.08801i	0.299943	−	0.376116i
$184$	1.57744	−	6.91121i	0.116290	−	0.509501i
$185$	4.69769	−	5.89072i	0.345381	−	0.433095i
$186$	−0.600574	+	0.289221i	−0.0440362	+	0.0212067i
$187$	−10.6024	−	13.2950i	−0.775323	−	0.972224i
$188$	−2.84525	−	1.37020i	−0.207511	−	0.0999322i
$189$	−0.475427	−	10.1557i	−0.0345822	−	0.738717i
$190$	−18.5873	+	8.95119i	−1.34847	+	0.649388i
$191$	14.6814	+	7.07019i	1.06231	+	0.511581i	0.881620	−	0.471960i	$-0.156453\pi$
$191$	14.6814	+	7.07019i	1.06231	+	0.511581i	0.180688	+	0.983540i	$0.442168\pi$
$192$	1.31275	+	5.75154i	0.0947397	+	0.415082i
$193$	−16.6291	−	8.00813i	−1.19699	−	0.576438i	−0.274170	−	0.961681i	$-0.588403\pi$
$193$	−16.6291	−	8.00813i	−1.19699	−	0.576438i	−0.922815	+	0.385243i	$0.874117\pi$
$194$	−3.21204	+	4.02777i	−0.230611	+	0.289177i
$195$	−3.07244			−0.220022
$196$	−0.648349	+	4.92697i	−0.0463106	+	0.351927i
$197$	−7.47848			−0.532820			−0.266410	−	0.963860i	$-0.585837\pi$
$197$	−7.47848			−0.532820			−0.266410	+	0.963860i	$0.585837\pi$
$198$	−5.15382	+	6.46268i	−0.366266	+	0.459283i
$199$	13.1936	+	6.35370i	0.935268	+	0.450402i	0.838498	−	0.544905i	$-0.183434\pi$
$199$	13.1936	+	6.35370i	0.935268	+	0.450402i	0.0967708	+	0.995307i	$0.469149\pi$
$200$	9.89003	+	43.3311i	0.699331	+	3.06397i
$201$	−2.51151	−	1.20948i	−0.177148	−	0.0853100i
$202$	4.38166	−	2.11010i	0.308292	−	0.148466i
$203$	2.40625	−	5.65943i	0.168886	−	0.397214i
$204$	2.61863	+	1.26107i	0.183341	+	0.0882923i
$205$	28.3140	+	35.5047i	1.97754	+	2.47975i
$206$	−18.0222	+	8.67905i	−1.25567	+	0.604698i
$207$	−3.61062	+	4.52757i	−0.250955	+	0.314688i
$208$	0.461991	−	2.02412i	0.0320333	−	0.140347i
$209$	7.43427	−	9.32228i	0.514239	−	0.644836i
$210$	−9.08768	−	1.63134i	−0.627109	−	0.112573i
$211$	7.69557	+	9.64994i	0.529785	+	0.664329i	0.972655	−	0.232257i	$-0.0746110\pi$
$211$	7.69557	+	9.64994i	0.529785	+	0.664329i	−0.442870	+	0.896586i	$0.646040\pi$
$212$	−6.17742	+	2.97489i	−0.424267	+	0.204316i
$213$	−0.278944	+	1.22213i	−0.0191129	+	0.0837392i
$214$	0.384239			0.0262660
$215$	−28.4934			−1.94323
$216$	2.63191	−	11.5311i	0.179079	−	0.784595i
$217$	−2.19318	−	0.393701i	−0.148883	−	0.0267262i
$218$	−1.51228	−	6.62574i	−0.102425	−	0.448752i
$219$	2.08874	+	9.15136i	0.141144	+	0.618392i
$220$	−5.64861	−	7.08314i	−0.380829	−	0.477545i
$221$	−3.66309	−	4.59337i	−0.246406	−	0.308983i
$222$	0.300971	+	1.31864i	0.0201999	+	0.0885013i
$223$	2.19063	+	9.59778i	0.146696	+	0.642715i	0.993790	+	0.111273i	$0.0354927\pi$
$223$	2.19063	+	9.59778i	0.146696	+	0.642715i	−0.847094	+	0.531442i	$0.821650\pi$
$224$	−3.93157	+	9.24693i	−0.262689	+	0.617836i
$225$	8.07920	−	35.3973i	0.538613	−	2.35982i
$226$	13.6468			0.907774
$227$	22.9540			1.52351			0.761754	−	0.647867i	$-0.224339\pi$
$227$	22.9540			1.52351			0.761754	+	0.647867i	$0.224339\pi$
$228$	−0.453493	+	1.98688i	−0.0300333	+	0.131585i
$229$	8.87041	−	4.27176i	0.586173	−	0.282286i	−0.117199	−	0.993109i	$-0.537391\pi$
$229$	8.87041	−	4.27176i	0.586173	−	0.282286i	0.703371	+	0.710823i	$0.251677\pi$
$230$	7.19119	+	9.01746i	0.474173	+	0.594594i
$231$	5.14131	−	1.42943i	0.338273	−	0.0940494i
$232$	4.46068	−	5.59352i	0.292858	−	0.367233i
$233$	6.32762	−	27.7231i	0.414536	−	1.81620i	−0.147466	−	0.989067i	$-0.547112\pi$
$233$	6.32762	−	27.7231i	0.414536	−	1.81620i	0.562002	−	0.827136i	$-0.310031\pi$
$234$	−1.78063	+	2.23284i	−0.116403	+	0.145965i
$235$	17.6708	−	8.50982i	1.15272	−	0.555120i
$236$	−4.34120	−	5.44369i	−0.282588	−	0.354354i
$237$	−3.24528	−	1.56284i	−0.210803	−	0.101518i
$238$	−8.39582	−	15.5313i	−0.544220	−	1.00674i
$239$	−10.0717	+	4.85027i	−0.651484	+	0.313738i	−0.730275	−	0.683153i	$-0.760608\pi$
$239$	−10.0717	+	4.85027i	−0.651484	+	0.313738i	0.0787915	+	0.996891i	$0.474894\pi$
$240$	−5.74719	−	2.76770i	−0.370979	−	0.178654i
$241$	−1.03753	−	4.54571i	−0.0668330	−	0.292815i	0.930456	−	0.366405i	$-0.119411\pi$
$241$	−1.03753	−	4.54571i	−0.0668330	−	0.292815i	−0.997289	+	0.0735902i	$0.976554\pi$
$242$	2.68374	+	1.29242i	0.172517	+	0.0830800i
$243$	−9.30156	+	11.6638i	−0.596695	+	0.748232i
$244$	6.62992			0.424437
$245$	−21.4132	−	22.2267i	−1.36804	−	1.42001i
$246$	−8.15212			−0.519760
$247$	2.56852	−	3.22082i	0.163431	−	0.204936i
$248$	−2.33554	−	1.12474i	−0.148307	−	0.0714208i
$249$	0.373042	+	1.63440i	0.0236406	+	0.103576i
$250$	−42.5920	−	20.5112i	−2.69376	−	1.29724i
$251$	6.59105	−	3.17408i	0.416023	−	0.200346i	−0.214150	−	0.976801i	$-0.568698\pi$
$251$	6.59105	−	3.17408i	0.416023	−	0.200346i	0.630173	+	0.776455i	$0.282984\pi$
$252$	3.55066	−	3.11403i	0.223670	−	0.196165i
$253$	−6.00596	−	2.89232i	−0.377592	−	0.181839i
$254$	0.0297593	+	0.0373170i	0.00186726	+	0.00234147i
$255$	−16.2634	+	7.83203i	−1.01845	+	0.490461i
$256$	−9.12624	+	11.4439i	−0.570390	+	0.715247i
$257$	0.983573	−	4.30931i	0.0613536	−	0.268808i	−0.934942	−	0.354800i	$-0.884549\pi$
$257$	0.983573	−	4.30931i	0.0613536	−	0.268808i	0.996296	+	0.0859924i	$0.0274061\pi$
$258$	3.18913	−	3.99904i	0.198547	−	0.248970i
$259$	−1.76906	+	4.16078i	−0.109924	+	0.258538i
$260$	−1.95158	−	2.44720i	−0.121032	−	0.151769i
$261$	−5.26566	+	2.53581i	−0.325936	+	0.156962i
$262$	5.34859	−	23.4337i	0.330437	−	1.44774i
$263$	−17.1532			−1.05771			−0.528857	−	0.848711i	$-0.677379\pi$
$263$	−17.1532			−1.05771			−0.528857	+	0.848711i	$0.677379\pi$
$264$	6.20808			0.382081
$265$	9.47554	−	41.5151i	0.582078	−	2.55025i
$266$	9.30731	−	8.16278i	0.570668	−	0.500492i
$267$	1.56134	+	6.84070i	0.0955528	+	0.418644i
$268$	−0.631930	−	2.76867i	−0.0386013	−	0.169123i
$269$	−4.90278	−	6.14789i	−0.298928	−	0.374843i	0.609571	−	0.792732i	$-0.291342\pi$
$269$	−4.90278	−	6.14789i	−0.298928	−	0.374843i	−0.908498	+	0.417888i	$0.862770\pi$
$270$	11.9983	+	15.0454i	0.730192	+	0.915632i
$271$	−5.34609	−	23.4228i	−0.324752	−	1.42283i	−0.828989	−	0.559266i	$-0.811083\pi$
$271$	−5.34609	−	23.4228i	−0.324752	−	1.42283i	0.504237	−	0.863566i	$-0.331774\pi$
$272$	−2.71426	−	11.8920i	−0.164576	−	0.721056i
$273$	1.77630	−	0.493862i	0.107507	−	0.0298899i
$274$	−0.552997	+	2.42284i	−0.0334078	+	0.146369i
$275$	41.7944			2.52030
$276$	1.13937			0.0685818
$277$	0.891920	−	3.90775i	0.0535903	−	0.234794i	−0.941039	−	0.338299i	$-0.890149\pi$
$277$	0.891920	−	3.90775i	0.0535903	−	0.234794i	0.994629	+	0.103505i	$0.0330057\pi$
$278$	−15.5402	+	7.48379i	−0.932042	+	0.448848i
$279$	1.32031	+	1.65562i	0.0790451	+	0.0991194i
$280$	−17.0745	−	31.5858i	−1.02040	−	1.88761i
$281$	4.73899	−	5.94250i	0.282704	−	0.354500i	−0.620122	−	0.784505i	$-0.712917\pi$
$281$	4.73899	−	5.94250i	0.282704	−	0.354500i	0.902826	+	0.430005i	$0.141488\pi$
$282$	−0.783459	+	3.43256i	−0.0466543	+	0.204406i
$283$	−2.48448	+	3.11543i	−0.147687	+	0.185193i	−0.850172	−	0.526505i	$-0.823502\pi$
$283$	−2.48448	+	3.11543i	−0.147687	+	0.185193i	0.702485	+	0.711698i	$0.252074\pi$
$284$	−1.15061	+	0.554106i	−0.0682763	+	0.0328801i
$285$	−7.89160	−	9.89576i	−0.467458	−	0.586174i
$286$	−2.96192	−	1.42639i	−0.175142	−	0.0843441i
$287$	−22.0765	−	15.9756i	−1.30314	−	0.943007i
$288$	8.60354	−	4.14325i	0.506968	−	0.244143i
$289$	−15.7825	−	7.60044i	−0.928381	−	0.447085i
$290$	2.59020	+	11.3484i	0.152102	+	0.666400i
$291$	−2.84767	−	1.37136i	−0.166933	−	0.0803908i
$292$	−5.96233	+	7.47653i	−0.348919	+	0.437531i
$293$	8.91916			0.521063			0.260531	−	0.965465i	$-0.416102\pi$
$293$	8.91916			0.521063			0.260531	+	0.965465i	$0.416102\pi$
$294$	5.51619	−	0.517603i	0.321711	−	0.0301872i
$295$	43.2430			2.51771
$296$	−3.27947	+	4.11232i	−0.190615	+	0.239024i
$297$	−10.0208	−	4.82575i	−0.581464	−	0.280018i
$298$	1.88153	+	8.24353i	0.108994	+	0.477535i
$299$	−2.07504	−	0.999287i	−0.120003	−	0.0577903i
$300$	−6.43604	+	3.09943i	−0.371585	+	0.178946i
$301$	16.4732	−	4.58002i	0.949502	−	0.263988i
$302$	−2.22518	−	1.07159i	−0.128045	−	0.0616631i
$303$	1.86032	+	2.33276i	0.106872	+	0.134014i
$304$	7.70594	−	3.71099i	0.441966	−	0.212840i
$305$	−25.6728	+	32.1927i	−1.47002	+	1.84335i
$306$	−3.73364	+	16.3581i	−0.213438	+	0.935133i
$307$	−9.69409	+	12.1560i	−0.553271	+	0.693780i	−0.977298	−	0.211870i	$-0.932045\pi$
$307$	−9.69409	+	12.1560i	−0.553271	+	0.693780i	0.424027	+	0.905650i	$0.360616\pi$
$308$	4.40424	+	3.18710i	0.250955	+	0.181602i
$309$	−7.65168	−	9.59490i	−0.435289	−	0.545835i
$310$	3.79994	−	1.82995i	0.215822	−	0.103934i
$311$	−6.52723	+	28.5976i	−0.370125	+	1.62162i	0.356296	+	0.934373i	$0.384040\pi$
$311$	−6.52723	+	28.5976i	−0.370125	+	1.62162i	−0.726421	+	0.687250i	$0.758818\pi$
$312$	2.14487			0.121429
$313$	31.0868			1.75713			0.878565	−	0.477624i	$-0.158502\pi$
$313$	31.0868			1.75713			0.878565	+	0.477624i	$0.158502\pi$
$314$	−2.05430	+	9.00049i	−0.115931	+	0.507927i
$315$	1.37161	+	29.2992i	0.0772814	+	1.65082i
$316$	−0.816557	−	3.57757i	−0.0459349	−	0.201254i
$317$	−3.35436	−	14.6964i	−0.188400	−	0.825432i	−0.977461	−	0.211118i	$-0.932290\pi$
$317$	−3.35436	−	14.6964i	−0.188400	−	0.825432i	0.789061	−	0.614315i	$-0.210567\pi$
$318$	4.76608	+	5.97647i	0.267268	+	0.335144i
$319$	−4.19462	−	5.25989i	−0.234854	−	0.294497i
$320$	−8.30601	−	36.3910i	−0.464320	−	2.03432i
$321$	0.0524567	+	0.229828i	0.00292785	+	0.0128277i
$322$	−5.60699	−	4.05746i	−0.312465	−	0.226114i
$323$	5.38570	−	23.5963i	0.299668	−	1.31293i
$324$	−3.45409			−0.191894
$325$	14.4398			0.800978
$326$	3.71048	−	16.2567i	0.205504	−	0.900373i
$327$	3.75664	−	1.80910i	0.207743	−	0.100044i
$328$	−19.7661	−	24.7859i	−1.09140	−	1.36857i
$329$	−8.84838	+	7.76029i	−0.487827	+	0.427839i
$330$	−6.29762	+	7.89696i	−0.346672	+	0.434714i
$331$	−1.64291	+	7.19804i	−0.0903023	+	0.395640i	−0.999799	−	0.0200719i	$-0.993610\pi$
$331$	−1.64291	+	7.19804i	−0.0903023	+	0.395640i	0.909496	+	0.415712i	$0.136468\pi$
$332$	−1.06485	+	1.33528i	−0.0584414	+	0.0732832i
$333$	3.87128	−	1.86431i	0.212145	−	0.102164i
$334$	15.7203	+	19.7126i	0.860176	+	1.07863i
$335$	15.8907	+	7.65257i	0.868204	+	0.418105i
$336$	3.76757	+	0.676322i	0.205538	+	0.0368964i
$337$	−15.5923	+	7.50884i	−0.849365	+	0.409033i	−0.807342	−	0.590084i	$-0.799095\pi$
$337$	−15.5923	+	7.50884i	−0.849365	+	0.409033i	−0.0420230	+	0.999117i	$0.513380\pi$
$338$	−1.02334	−	0.492812i	−0.0556621	−	0.0268055i
$339$	1.86308	+	8.16268i	0.101189	+	0.443336i
$340$	−16.5685	−	7.97899i	−0.898555	−	0.432721i
$341$	−1.51984	+	1.90582i	−0.0823039	+	0.103206i
$342$	−11.7651			−0.636185
$343$	15.9526	+	9.40826i	0.861358	+	0.507998i
$344$	19.8913			1.07247
$345$	−4.41193	+	5.53239i	−0.237531	+	0.297854i
$346$	22.7031	+	10.9332i	1.22053	+	0.587775i
$347$	−7.21088	−	31.5929i	−0.387100	−	1.69600i	−0.674573	−	0.738208i	$-0.735672\pi$
$347$	−7.21088	−	31.5929i	−0.387100	−	1.69600i	0.287473	−	0.957789i	$-0.407185\pi$
$348$	1.03601	+	0.498916i	0.0555359	+	0.0267447i
$349$	−32.7674	+	15.7800i	−1.75400	+	0.844681i	−0.777584	+	0.628779i	$0.783555\pi$
$349$	−32.7674	+	15.7800i	−1.75400	+	0.844681i	−0.976415	+	0.215903i	$0.930731\pi$
$350$	42.7103	+	7.66698i	2.28296	+	0.409817i
$351$	−3.46214	−	1.66728i	−0.184796	−	0.0889929i
$352$	6.85358	+	8.59411i	0.365297	+	0.458068i
$353$	−2.97621	+	1.43327i	−0.158408	+	0.0762851i	−0.511408	−	0.859338i	$-0.670876\pi$
$353$	−2.97621	+	1.43327i	−0.158408	+	0.0762851i	0.353000	+	0.935623i	$0.385162\pi$
$354$	−4.83998	+	6.06915i	−0.257242	+	0.322572i
$355$	1.76493	−	7.73264i	0.0936725	−	0.410406i
$356$	−4.45688	+	5.58875i	−0.236214	+	0.296203i
$357$	8.14362	−	7.14219i	0.431006	−	0.378005i
$358$	−1.41054	−	1.76876i	−0.0745495	−	0.0934821i
$359$	−11.1712	+	5.37975i	−0.589592	+	0.283932i	−0.704797	−	0.709409i	$-0.748962\pi$
$359$	−11.1712	+	5.37975i	−0.589592	+	0.283932i	0.115205	+	0.993342i	$0.463247\pi$
$360$	−7.59307	+	33.2674i	−0.400190	+	1.75335i
$361$	−2.02905			−0.106792
$362$	10.1460			0.533261
$363$	−0.406659	+	1.78169i	−0.0213440	+	0.0935144i
$364$	1.52165	+	1.10113i	0.0797562	+	0.0577151i
$365$	−13.2158	−	57.9022i	−0.691747	−	3.03074i
$366$	−1.64480	−	7.20635i	−0.0859752	−	0.376682i
$367$	−17.0304	−	21.3554i	−0.888979	−	1.11474i	−0.992756	−	0.120144i	$-0.961664\pi$
$367$	−17.0304	−	21.3554i	−0.888979	−	1.11474i	0.103777	−	0.994601i	$-0.466907\pi$
$368$	−2.98132	−	3.73846i	−0.155412	−	0.194881i
$369$	5.76279	+	25.2484i	0.299999	+	1.31438i
$370$	−1.90430	−	8.34326i	−0.0989996	−	0.433746i
$371$	1.19491	+	25.5247i	0.0620367	+	1.32518i
$372$	0.0927107	−	0.406192i	0.00480683	−	0.0210601i
$373$	32.2404			1.66934			0.834672	−	0.550748i	$-0.185657\pi$
$373$	32.2404			1.66934			0.834672	+	0.550748i	$0.185657\pi$
$374$	−19.3144			−0.998726
$375$	6.45383	−	28.2761i	0.333275	−	1.46017i
$376$	−12.3360	+	5.94072i	−0.636182	+	0.306369i
$377$	−1.44923	−	1.81727i	−0.0746390	−	0.0935944i
$378$	−9.35510	−	6.76976i	−0.481174	−	0.348199i
$379$	1.07709	−	1.35063i	0.0553265	−	0.0693773i	−0.753398	−	0.657564i	$-0.771587\pi$
$379$	1.07709	−	1.35063i	0.0553265	−	0.0693773i	0.808725	+	0.588187i	$0.200158\pi$
$380$	2.86933	−	12.5714i	0.147193	−	0.644897i
$381$	−0.0182579	+	0.0228947i	−0.000935381	+	0.00117293i
$382$	16.6754	−	8.03043i	0.853186	−	0.410873i
$383$	19.6138	+	24.5950i	1.00222	+	1.25675i	0.966308	+	0.257390i	$0.0828625\pi$
$383$	19.6138	+	24.5950i	1.00222	+	1.25675i	0.0359132	+	0.999355i	$0.488566\pi$
$384$	1.26833	+	0.610794i	0.0647241	+	0.0311695i
$385$	−32.5299	+	9.04423i	−1.65788	+	0.460937i
$386$	−18.8875	+	9.09576i	−0.961351	+	0.462962i
$387$	−14.6401	−	7.05029i	−0.744197	−	0.358386i
$388$	−0.716513	−	3.13925i	−0.0363754	−	0.159371i
$389$	7.77693	+	3.74517i	0.394306	+	0.189888i	0.620521	−	0.784189i	$-0.286921\pi$
$389$	7.77693	+	3.74517i	0.394306	+	0.189888i	−0.226215	+	0.974077i	$0.572635\pi$
$390$	−2.17581	+	2.72837i	−0.110176	+	0.138157i
$391$	−13.5312			−0.684300
$392$	14.9486	+	15.5165i	0.755017	+	0.783702i
$393$	14.7468			0.743876
$394$	−5.29604	+	6.64102i	−0.266810	+	0.334570i
$395$	20.5334	+	9.88838i	1.03315	+	0.497539i
$396$	−1.14967	−	5.03703i	−0.0577730	−	0.253120i
$397$	−2.11064	−	1.01643i	−0.105930	−	0.0510131i	0.380168	−	0.924917i	$-0.375866\pi$
$397$	−2.11064	−	1.01643i	−0.105930	−	0.0510131i	−0.486098	+	0.873904i	$0.661580\pi$
$398$	14.9855	−	7.21663i	0.751155	−	0.361737i
$399$	6.15311	+	4.45266i	0.308041	+	0.222912i
$400$	27.0106	+	13.0076i	1.35053	+	0.650382i
$401$	−2.34086	−	2.93535i	−0.116897	−	0.146584i	0.719940	−	0.694036i	$-0.244169\pi$
$401$	−2.34086	−	2.93535i	−0.116897	−	0.146584i	−0.836837	+	0.547452i	$0.815598\pi$
$402$	−2.85261	+	1.37374i	−0.142275	+	0.0685162i
$403$	−0.525099	+	0.658454i	−0.0261571	+	0.0327999i
$404$	−0.676397	+	2.96349i	−0.0336520	+	0.147439i
$405$	13.3752	−	16.7719i	0.664617	−	0.833404i
$406$	−3.32164	−	6.14463i	−0.164850	−	0.304953i
$407$	3.08386	+	3.86704i	0.152861	+	0.191682i
$408$	11.3535	−	5.46755i	0.562081	−	0.270684i
$409$	−2.60675	+	11.4209i	−0.128896	+	0.564729i	0.868695	+	0.495348i	$0.164959\pi$
$409$	−2.60675	+	11.4209i	−0.128896	+	0.564729i	−0.997590	+	0.0693806i	$0.977898\pi$
$410$	51.5799			2.54735
$411$	−1.52469			−0.0752073
$412$	2.78209	−	12.1892i	0.137064	−	0.600516i
$413$	−25.0006	+	6.95087i	−1.23020	+	0.342030i
$414$	1.46363	+	6.41258i	0.0719335	+	0.315161i
$415$	−2.36030	−	10.3412i	−0.115863	−	0.507627i
$416$	2.36789	+	2.96924i	0.116095	+	0.145579i
$417$	−6.59790	−	8.27351i	−0.323101	−	0.405155i
$418$	−3.01362	−	13.2035i	−0.147401	−	0.645805i
$419$	0.358076	+	1.56883i	0.0174931	+	0.0766424i	0.982921	−	0.184028i	$-0.0589136\pi$
$419$	0.358076	+	1.56883i	0.0174931	+	0.0766424i	−0.965428	+	0.260670i	$0.916056\pi$
$420$	4.33866	−	3.80513i	0.211705	−	0.185672i
$421$	−0.787376	+	3.44972i	−0.0383743	+	0.168129i	−0.990484	−	0.137628i	$-0.956052\pi$
$421$	−0.787376	+	3.44972i	−0.0383743	+	0.168129i	0.952110	+	0.305757i	$0.0989094\pi$
$422$	14.0191			0.682438
$423$	11.1850			0.543834
$424$	−6.61489	+	28.9817i	−0.321247	+	1.40748i
$425$	76.4346	−	36.8090i	3.70762	−	1.78550i
$426$	0.887735	+	1.11318i	0.0430109	+	0.0539340i
$427$	9.66789	−	22.7386i	0.467862	−	1.10040i
$428$	−0.149738	+	0.187766i	−0.00723787	+	0.00907600i
$429$	0.448811	−	1.96637i	0.0216688	−	0.0949372i
$430$	−20.1782	+	25.3026i	−0.973078	+	1.22020i
$431$	−34.8584	+	16.7869i	−1.67907	+	0.808598i	−0.682064	+	0.731292i	$0.738918\pi$
$431$	−34.8584	+	16.7869i	−1.67907	+	0.808598i	−0.997007	+	0.0773058i	$0.975368\pi$
$432$	−4.97425	−	6.23751i	−0.239324	−	0.300102i
$433$	−11.4033	−	5.49154i	−0.548008	−	0.263907i	0.139328	−	0.990246i	$-0.455506\pi$
$433$	−11.4033	−	5.49154i	−0.548008	−	0.263907i	−0.687336	+	0.726340i	$0.741220\pi$
$434$	−1.90276	+	1.66877i	−0.0913353	+	0.0801037i
$435$	−6.43428	+	3.09859i	−0.308500	+	0.148566i
$436$	3.82713	+	1.84305i	0.183286	+	0.0882661i
$437$	−2.11126	−	9.25001i	−0.100995	−	0.442488i
$438$	9.60575	+	4.62588i	0.458980	+	0.221033i
$439$	−4.17162	+	5.23104i	−0.199100	+	0.249664i	−0.871352	−	0.490659i	$-0.836756\pi$
$439$	−4.17162	+	5.23104i	−0.199100	+	0.249664i	0.672251	+	0.740323i	$0.265327\pi$
$440$	−39.2796			−1.87258
$441$	−5.50253	−	16.7186i	−0.262025	−	0.796124i
$442$	−6.67308			−0.317406
$443$	16.3542	−	20.5075i	0.777013	−	0.974343i	−0.222987	−	0.974821i	$-0.571581\pi$
$443$	16.3542	−	20.5075i	0.777013	−	0.974343i	1.00000		0.000478420i	$0.000152286\pi$
$444$	−0.761668	−	0.366800i	−0.0361472	−	0.0174076i
$445$	−9.87890	−	43.2823i	−0.468305	−	2.05178i
$446$	10.0743	+	4.85154i	0.477034	+	0.229727i
$447$	−4.67390	+	2.25083i	−0.221068	+	0.106461i
$448$	10.6515	+	19.7041i	0.503238	+	0.930929i
$449$	12.0079	+	5.78268i	0.566686	+	0.272902i	0.695212	−	0.718804i	$-0.255310\pi$
$449$	12.0079	+	5.78268i	0.566686	+	0.272902i	−0.128526	+	0.991706i	$0.541025\pi$
$450$	−25.7119	−	32.2418i	−1.21207	−	1.51989i
$451$	−26.8591	+	12.9347i	−1.26475	+	0.609070i
$452$	−5.31819	+	6.66879i	−0.250146	+	0.313674i
$453$	0.337175	−	1.47726i	0.0158418	−	0.0694077i
$454$	16.2553	−	20.3835i	0.762899	−	0.956645i
$455$	−11.2390	+	3.12475i	−0.526892	+	0.146491i
$456$	5.50914	+	6.90824i	0.257989	+	0.323508i
$457$	−32.7813	+	15.7867i	−1.53345	+	0.738469i	−0.994585	−	0.103926i	$-0.966860\pi$
$457$	−32.7813	+	15.7867i	−1.53345	+	0.738469i	−0.538861	+	0.842395i	$0.681145\pi$
$458$	2.48836	−	10.9022i	0.116273	−	0.509427i
$459$	−22.5763			−1.05377
$460$	−7.20897			−0.336120
$461$	−2.11424	+	9.26311i	−0.0984701	+	0.431426i	−0.999999	−	0.00129275i	$-0.999589\pi$
$461$	−2.11424	+	9.26311i	−0.0984701	+	0.431426i	0.901529	+	0.432719i	$0.142446\pi$
$462$	2.37156	−	5.57784i	0.110335	−	0.259505i
$463$	2.58284	+	11.3162i	0.120035	+	0.525908i	0.998814	+	0.0486795i	$0.0155013\pi$
$463$	2.58284	+	11.3162i	0.120035	+	0.525908i	−0.878779	+	0.477228i	$0.841642\pi$
$464$	−1.07384	−	4.70482i	−0.0498519	−	0.218416i
$465$	1.61333	+	2.02306i	0.0748166	+	0.0938170i
$466$	−20.1376	−	25.2517i	−0.932855	−	1.16976i
$467$	−3.09419	−	13.5565i	−0.143182	−	0.627321i	−0.994684	−	0.102970i	$-0.967165\pi$
$467$	−3.09419	−	13.5565i	−0.143182	−	0.627321i	0.851502	−	0.524351i	$-0.175692\pi$
$468$	−0.397207	−	1.74028i	−0.0183609	−	0.0804443i
$469$	−10.4172	−	1.87000i	−0.481020	−	0.0863487i
$470$	4.95708	−	21.7184i	0.228653	−	1.00180i
$471$	−5.66399			−0.260983
$472$	−30.1880			−1.38952
$473$	4.16222	−	18.2359i	0.191379	−	0.838487i
$474$	−3.68604	+	1.77510i	−0.169305	+	0.0815332i
$475$	37.0889	+	46.5081i	1.70176	+	2.13394i
$476$	10.8615	+	1.94977i	0.497836	+	0.0893673i
$477$	15.1409	−	18.9861i	0.693254	−	0.869313i
$478$	−2.82535	+	12.3787i	−0.129228	+	0.566186i
$479$	−14.5566	+	18.2534i	−0.665109	+	0.834020i	−0.993889	−	0.110387i	$-0.964791\pi$
$479$	−14.5566	+	18.2534i	−0.665109	+	0.834020i	0.328780	+	0.944407i	$0.393363\pi$
$480$	10.5129	−	5.06277i	0.479848	−	0.231083i
$481$	1.06546	+	1.33605i	0.0485809	+	0.0609186i
$482$	−4.77141	−	2.29779i	−0.217332	−	0.104661i
$483$	1.66145	−	3.90768i	0.0755986	−	0.177806i
$484$	−1.67742	+	0.807804i	−0.0762465	+	0.0367184i
$485$	18.0177	+	8.67686i	0.818141	+	0.393996i
$486$	3.77056	+	16.5199i	0.171036	+	0.749357i
$487$	27.9113	+	13.4414i	1.26478	+	0.609086i	0.941435	−	0.337195i	$-0.109478\pi$
$487$	27.9113	+	13.4414i	1.26478	+	0.609086i	0.323345	+	0.946281i	$0.395193\pi$
$488$	17.9222	−	22.4738i	0.811302	−	1.01734i
$489$	10.2303			0.462629
$490$	−34.9019	+	3.27497i	−1.57671	+	0.147948i
$491$	36.8014			1.66083			0.830413	−	0.557148i	$-0.188105\pi$
$491$	36.8014			1.66083			0.830413	+	0.557148i	$0.188105\pi$
$492$	3.17689	−	3.98369i	0.143225	−	0.179599i
$493$	−12.3037	−	5.92514i	−0.554130	−	0.266855i
$494$	−1.04119	−	4.56177i	−0.0468456	−	0.205244i
$495$	28.9100	+	13.9223i	1.29941	+	0.625761i
$496$	−1.57538	+	0.758662i	−0.0707366	+	0.0340649i
$497$	0.222566	+	4.75426i	0.00998343	+	0.213258i
$498$	1.71556	+	0.826168i	0.0768759	+	0.0370215i
$499$	−12.9036	−	16.1806i	−0.577643	−	0.724341i	0.404066	−	0.914730i	$-0.367597\pi$
$499$	−12.9036	−	16.1806i	−0.577643	−	0.724341i	−0.981709	+	0.190389i	$0.939025\pi$
$500$	26.6214	−	12.8202i	1.19054	−	0.573336i
$501$	−9.64471	+	12.0941i	−0.430894	+	0.540324i
$502$	1.84894	−	8.10075i	0.0825224	−	0.361554i
$503$	−14.0896	+	17.6678i	−0.628225	+	0.787770i	−0.989476	−	0.144699i	$-0.953779\pi$
$503$	−14.0896	+	17.6678i	−0.628225	+	0.787770i	0.361250	+	0.932469i	$0.382350\pi$
$504$	−0.957522	−	20.4538i	−0.0426514	−	0.911084i
$505$	−11.7705	−	14.7598i	−0.523782	−	0.656802i
$506$	−6.82167	+	3.28514i	−0.303260	+	0.146042i
$507$	0.155063	−	0.679374i	0.00688658	−	0.0301721i
$508$	−0.0298329			−0.00132362
$509$	−16.8566			−0.747158			−0.373579	−	0.927598i	$-0.621869\pi$
$509$	−16.8566			−0.747158			−0.373579	+	0.927598i	$0.621869\pi$
$510$	−4.56226	+	19.9886i	−0.202020	+	0.885108i
$511$	16.9478	+	31.3514i	0.749727	+	1.38690i
$512$	4.59854	+	20.1475i	0.203229	+	0.890403i
$513$	−3.52257	−	15.4334i	−0.155525	−	0.681400i
$514$	−3.13021	−	3.92516i	−0.138068	−	0.173131i
$515$	48.4135	+	60.7086i	2.13335	+	2.67514i
$516$	0.711403	+	3.11686i	0.0313178	+	0.137212i
$517$	2.86502	+	12.5525i	0.126004	+	0.552057i
$518$	2.44205	+	4.51750i	0.107297	+	0.198487i
$519$	−3.44013	+	15.0722i	−0.151005	+	0.661596i
$520$	−13.5710			−0.595127
$521$	−4.23600			−0.185583			−0.0927914	−	0.995686i	$-0.529579\pi$
$521$	−4.23600			−0.185583			−0.0927914	+	0.995686i	$0.529579\pi$
$522$	−1.47714	+	6.47177i	−0.0646527	+	0.283262i
$523$	19.2057	−	9.24897i	0.839806	−	0.404429i	0.0360225	−	0.999351i	$-0.488531\pi$
$523$	19.2057	−	9.24897i	0.839806	−	0.404429i	0.803784	+	0.594922i	$0.202817\pi$
$524$	9.36698	+	11.7458i	0.409198	+	0.513119i
$525$	1.24494	+	26.5933i	0.0543335	+	1.16063i
$526$	−12.1474	+	15.2324i	−0.529652	+	0.664162i
$527$	−1.10103	+	4.82395i	−0.0479618	+	0.210135i
$528$	2.61087	−	3.27392i	0.113623	−	0.142479i
$529$	15.9432	−	7.67785i	0.693183	−	0.333819i
$530$	−30.1558	−	37.8142i	−1.30988	−	1.64254i
$531$	22.2185	+	10.6999i	0.964202	+	0.464335i
$532$	0.361836	+	7.72924i	0.0156876	+	0.335105i
$533$	−9.27974	+	4.46889i	−0.401950	+	0.193569i
$534$	7.18035	+	3.45788i	0.310724	+	0.149637i
$535$	−0.331902	−	1.45416i	−0.0143494	−	0.0628688i
$536$	−11.0933	−	5.34227i	−0.479160	−	0.230751i
$537$	0.865395	−	1.08517i	0.0373446	−	0.0468286i
$538$	−8.93143			−0.385061
$539$	17.3531	−	10.4577i	0.747453	−	0.450445i
$540$	−12.0280			−0.517601
$541$	1.41857	−	1.77884i	0.0609893	−	0.0764781i	−0.750401	−	0.660983i	$-0.770140\pi$
$541$	1.41857	−	1.77884i	0.0609893	−	0.0764781i	0.811390	+	0.584505i	$0.198711\pi$
$542$	−24.5857	−	11.8399i	−1.05605	−	0.508566i
$543$	1.38514	+	6.06869i	0.0594420	+	0.260432i
$544$	20.1029	+	9.68107i	0.861907	+	0.415072i
$545$	−23.7689	+	11.4465i	−1.01815	+	0.490315i
$546$	0.819367	−	1.92713i	0.0350657	−	0.0824734i
$547$	−0.216897	−	0.104452i	−0.00927387	−	0.00446606i	0.429241	−	0.903190i	$-0.358781\pi$
$547$	−0.216897	−	0.104452i	−0.00927387	−	0.00446606i	−0.438515	+	0.898724i	$0.644495\pi$
$548$	−0.968464	−	1.21442i	−0.0413707	−	0.0518773i
$549$	−21.1565	+	10.1884i	−0.902936	+	0.434831i
$550$	29.5975	−	37.1141i	1.26204	−	1.58255i
$551$	2.13074	−	9.33540i	0.0907727	−	0.397701i
$552$	3.07998	−	3.86217i	0.131093	−	0.164385i
$553$	−13.4607	−	2.41635i	−0.572407	−	0.102754i
$554$	−2.83852	−	3.55939i	−0.120597	−	0.151224i
$555$	4.73044	−	2.27806i	0.200796	−	0.0966983i
$556$	2.39895	−	10.5105i	0.101738	−	0.445744i
$557$	45.3796			1.92280			0.961398	−	0.275163i	$-0.0887319\pi$
$557$	45.3796			1.92280			0.961398	+	0.275163i	$0.0887319\pi$
$558$	2.40523			0.101821
$559$	1.43803	−	6.30044i	0.0608224	−	0.266480i
$560$	−23.8381	−	4.27921i	−1.00734	−	0.180829i
$561$	−2.63683	−	11.5527i	−0.111327	−	0.487755i
$562$	−1.92103	−	8.41660i	−0.0810340	−	0.355033i
$563$	−9.52201	−	11.9402i	−0.401305	−	0.503220i	0.539586	−	0.841930i	$-0.318581\pi$
$563$	−9.52201	−	11.9402i	−0.401305	−	0.503220i	−0.940891	+	0.338710i	$0.890009\pi$
$564$	−1.37207	−	1.72052i	−0.0577747	−	0.0724471i
$565$	−11.7880	−	51.6467i	−0.495926	−	2.17279i
$566$	1.00713	+	4.41251i	0.0423327	+	0.185472i
$567$	−5.03683	+	11.8465i	−0.211527	+	0.497505i
$568$	−1.23210	+	5.39817i	−0.0516977	+	0.226502i
$569$	−15.5764			−0.652998			−0.326499	−	0.945198i	$-0.605869\pi$
$569$	−15.5764			−0.652998			−0.326499	+	0.945198i	$0.605869\pi$
$570$	−14.3762			−0.602153
$571$	−2.63732	+	11.5548i	−0.110368	+	0.483555i	0.889288	+	0.457347i	$0.151200\pi$
$571$	−2.63732	+	11.5548i	−0.110368	+	0.483555i	−0.999657	+	0.0262079i	$0.991657\pi$
$572$	1.85130	−	0.891538i	0.0774066	−	0.0372771i
$573$	7.07984	+	8.87784i	0.295764	+	0.370877i
$574$	−29.8205	+	8.29094i	−1.24468	+	0.346057i
$575$	20.7352	−	26.0011i	0.864718	−	1.08432i
$576$	4.73676	−	20.7531i	0.197365	−	0.864713i
$577$	−9.91296	+	12.4305i	−0.412682	+	0.517487i	−0.944116	−	0.329613i	$-0.893082\pi$
$577$	−9.91296	+	12.4305i	−0.412682	+	0.517487i	0.531434	+	0.847100i	$0.321653\pi$
$578$	−17.9260	+	8.63271i	−0.745623	+	0.359073i
$579$	−8.01906	−	10.0556i	−0.333261	−	0.417896i
$580$	−6.55501	−	3.15673i	−0.272182	−	0.131076i
$581$	3.02682	+	5.59926i	0.125574	+	0.232297i
$582$	−3.23443	+	1.55762i	−0.134071	+	0.0645654i
$583$	25.1856	+	12.1288i	1.04308	+	0.502322i
$584$	9.22597	+	40.4216i	0.381774	+	1.67266i
$585$	9.98830	+	4.81011i	0.412965	+	0.198874i
$586$	6.31628	−	7.92036i	0.260923	−	0.327187i
$587$	19.2212			0.793345			0.396673	−	0.917960i	$-0.370165\pi$
$587$	19.2212			0.793345			0.396673	+	0.917960i	$0.370165\pi$
$588$	−1.89673	+	2.89730i	−0.0782197	+	0.119483i
$589$	−3.46949			−0.142958
$590$	30.6234	−	38.4006i	1.26075	−	1.58093i
$591$	−4.69526	−	2.26112i	−0.193137	−	0.0930100i
$592$	0.789483	+	3.45895i	0.0324476	+	0.142162i
$593$	9.87768	+	4.75684i	0.405628	+	0.195340i	0.625562	−	0.780175i	$-0.284870\pi$
$593$	9.87768	+	4.75684i	0.405628	+	0.195340i	−0.219934	+	0.975515i	$0.570584\pi$
$594$	−11.3818	+	5.48117i	−0.466999	+	0.224895i
$595$	−51.5261	+	45.1899i	−2.11236	+	1.85260i
$596$	−4.76160	−	2.29306i	−0.195043	−	0.0939276i
$597$	6.36237	+	7.97816i	0.260394	+	0.326524i
$598$	−2.35687	+	1.13501i	−0.0963794	+	0.0464139i
$599$	8.21607	−	10.3026i	0.335699	−	0.420954i	−0.585118	−	0.810948i	$-0.698952\pi$
$599$	8.21607	−	10.3026i	0.335699	−	0.420954i	0.920817	+	0.389995i	$0.127523\pi$
$600$	−6.89183	+	30.1951i	−0.281358	+	1.23271i
$601$	−7.81068	+	9.79428i	−0.318604	+	0.399517i	−0.915184	−	0.403037i	$-0.867955\pi$
$601$	−7.81068	+	9.79428i	−0.318604	+	0.399517i	0.596580	+	0.802554i	$0.296526\pi$
$602$	7.59871	−	17.8720i	0.309700	−	0.728406i
$603$	6.27123	+	7.86387i	0.255384	+	0.320242i
$604$	1.39081	−	0.669778i	0.0565912	−	0.0272529i
$605$	2.57300	−	11.2731i	0.104607	−	0.458315i
$606$	3.38895			0.137667
$607$	−16.7647			−0.680460			−0.340230	−	0.940342i	$-0.610505\pi$
$607$	−16.7647			−0.680460			−0.340230	+	0.940342i	$0.610505\pi$
$608$	−3.48142	+	15.2531i	−0.141190	+	0.618594i
$609$	3.22186	−	2.82567i	0.130556	−	0.114502i
$610$	10.4069	+	45.5958i	0.421365	+	1.84612i
$611$	0.989856	+	4.33684i	0.0400453	+	0.175450i
$612$	−6.53872	−	8.19930i	−0.264312	−	0.331437i
$613$	−4.71966	−	5.91827i	−0.190625	−	0.239037i	0.677329	−	0.735680i	$-0.263137\pi$
$613$	−4.71966	−	5.91827i	−0.190625	−	0.239037i	−0.867955	+	0.496643i	$0.834566\pi$
$614$	3.92968	+	17.2170i	0.158589	+	0.694823i
$615$	7.04174	+	30.8519i	0.283950	+	1.24407i
$616$	22.7092	−	6.31379i	0.914979	−	0.254390i
$617$	−2.35494	+	10.3177i	−0.0948065	+	0.415374i	−0.999953	−	0.00972599i	$-0.996904\pi$
$617$	−2.35494	+	10.3177i	−0.0948065	+	0.415374i	0.905146	+	0.425100i	$0.139761\pi$
$618$	−13.9391			−0.560714
$619$	15.3820			0.618253			0.309127	−	0.951021i	$-0.399963\pi$
$619$	15.3820			0.618253			0.309127	+	0.951021i	$0.399963\pi$
$620$	−0.586597	+	2.57005i	−0.0235583	+	0.103216i
$621$	−7.97374	+	3.83995i	−0.319975	+	0.154092i
$622$	20.7728	+	26.0483i	0.832914	+	1.04444i
$623$	12.6686	+	23.4354i	0.507556	+	0.938919i
$624$	0.902046	−	1.13113i	0.0361107	−	0.0452814i
$625$	−24.7687	+	108.519i	−0.990748	+	4.34075i
$626$	22.0147	−	27.6056i	0.879885	−	1.10334i
$627$	7.48610	−	3.60511i	0.298966	−	0.143974i
$628$	−3.59770	−	4.51138i	−0.143564	−	0.180023i
$629$	9.04559	+	4.35613i	0.360671	+	0.173690i
$630$	26.9895	+	19.5308i	1.07529	+	0.778125i
$631$	−13.5701	+	6.53504i	−0.540219	+	0.260156i	−0.684036	−	0.729449i	$-0.739777\pi$
$631$	−13.5701	+	6.53504i	−0.540219	+	0.260156i	0.143817	+	0.989604i	$0.454062\pi$
$632$	−14.3344	−	6.90309i	−0.570193	−	0.274590i
$633$	1.91390	+	8.38534i	0.0760706	+	0.333287i
$634$	−15.4261	−	7.42882i	−0.612649	−	0.295036i
$635$	0.115521	−	0.144859i	0.00458431	−	0.00574854i
$636$	−4.77786			−0.189455
$637$	5.99546	−	3.61310i	0.237549	−	0.143156i
$638$	−7.64137			−0.302525
$639$	2.82016	−	3.53637i	0.111564	−	0.139897i
$640$	−8.02493	−	3.86460i	−0.317213	−	0.152762i
$641$	0.954007	+	4.17978i	0.0376810	+	0.165091i	0.990268	−	0.139176i	$-0.0444455\pi$
$641$	0.954007	+	4.17978i	0.0376810	+	0.165091i	−0.952587	+	0.304268i	$0.901588\pi$
$642$	0.241239	+	0.116175i	0.00952095	+	0.00458505i
$643$	28.5645	−	13.7559i	1.12647	−	0.542481i	0.224587	−	0.974454i	$-0.427897\pi$
$643$	28.5645	−	13.7559i	1.12647	−	0.542481i	0.901887	+	0.431973i	$0.142182\pi$
$644$	4.16781	−	1.15877i	0.164235	−	0.0456619i
$645$	−17.8892	−	8.61498i	−0.704386	−	0.339215i
$646$	−17.1399	−	21.4928i	−0.674361	−	0.845622i
$647$	22.1661	−	10.6746i	0.871439	−	0.419663i	0.0559485	−	0.998434i	$-0.482182\pi$
$647$	22.1661	−	10.6746i	0.871439	−	0.419663i	0.815490	+	0.578771i	$0.196467\pi$
$648$	−9.33722	+	11.7085i	−0.366801	+	0.459954i
$649$	−6.31680	+	27.6757i	−0.247956	+	1.08637i
$650$	10.2259	−	12.8228i	0.401091	−	0.502952i
$651$	−1.25792	−	0.910287i	−0.0493019	−	0.0356770i
$652$	6.49816	+	8.14843i	0.254488	+	0.319117i
$653$	−5.13074	+	2.47084i	−0.200781	+	0.0966913i	−0.531573	−	0.847013i	$-0.678399\pi$
$653$	−5.13074	+	2.47084i	−0.200781	+	0.0966913i	0.330791	+	0.943704i	$0.392684\pi$
$654$	1.05383	−	4.61712i	0.0412079	−	0.180544i
$655$	−93.3053			−3.64574
$656$	−21.3840			−0.834905
$657$	7.53673	−	33.0206i	0.294036	−	1.28826i
$658$	0.625112	+	13.3531i	0.0243694	+	0.520559i
$659$	−1.08432	−	4.75073i	−0.0422392	−	0.185062i	0.949407	−	0.314048i	$-0.101685\pi$
$659$	−1.08432	−	4.75073i	−0.0422392	−	0.185062i	−0.991646	+	0.128985i	$0.958828\pi$
$660$	−1.40482	−	6.15491i	−0.0546824	−	0.239579i
$661$	16.2970	+	20.4358i	0.633881	+	0.794862i	0.990223	−	0.139494i	$-0.0445475\pi$
$661$	16.2970	+	20.4358i	0.633881	+	0.794862i	−0.356342	+	0.934356i	$0.615976\pi$
$662$	5.22853	+	6.55637i	0.203213	+	0.254820i
$663$	−0.911015	−	3.99142i	−0.0353809	−	0.155014i
$664$	1.64773	+	7.21918i	0.0639443	+	0.280158i
$665$	−38.9318	−	28.1727i	−1.50971	−	1.09249i
$666$	1.08598	−	4.75801i	0.0420810	−	0.184369i
$667$	−5.35333			−0.207282
$668$	−15.7592			−0.609740
$669$	−1.52653	+	6.68817i	−0.0590191	+	0.258580i
$670$	18.0490	−	8.69192i	0.697292	−	0.335798i
$671$	−16.8532	−	21.1333i	−0.650612	−	0.815842i
$672$	−5.26419	+	4.61685i	−0.203070	+	0.178099i
$673$	31.3582	−	39.3219i	1.20877	−	1.51575i	0.412321	−	0.911039i	$-0.364718\pi$
$673$	31.3582	−	39.3219i	1.20877	−	1.51575i	0.796447	−	0.604708i	$-0.206710\pi$
$674$	−4.37400	+	19.1637i	−0.168480	+	0.738159i
$675$	34.5961	−	43.3821i	1.33160	−	1.66978i
$676$	0.639617	−	0.308023i	0.0246007	−	0.0118470i
$677$	15.2308	+	19.0988i	0.585367	+	0.734027i	0.983018	−	0.183510i	$-0.0587459\pi$
$677$	15.2308	+	19.0988i	0.585367	+	0.734027i	−0.397651	+	0.917537i	$0.630174\pi$
$678$	8.56798	+	4.12612i	0.329051	+	0.158463i
$679$	−11.8115	−	2.12030i	−0.453284	−	0.0813696i
$680$	−71.8354	+	34.5941i	−2.75476	+	1.32662i
$681$	14.4113	+	6.94013i	0.552243	+	0.265946i
$682$	0.616094	+	2.69929i	0.0235915	+	0.103361i
$683$	−18.8745	−	9.08948i	−0.722213	−	0.347799i	0.0364034	−	0.999337i	$-0.488410\pi$
$683$	−18.8745	−	9.08948i	−0.722213	−	0.347799i	−0.758616	+	0.651538i	$0.774124\pi$
$684$	4.58488	−	5.74926i	0.175307	−	0.219828i
$685$	9.64696			0.368591
$686$	19.6518	−	7.50351i	0.750310	−	0.286486i
$687$	6.86073			0.261753
$688$	8.36547	−	10.4900i	0.318931	−	0.399926i
$689$	8.70155	+	4.19045i	0.331503	+	0.159643i
$690$	1.78846	+	7.83574i	0.0680854	+	0.298302i
$691$	13.6437	+	6.57045i	0.519030	+	0.249952i	0.675010	−	0.737809i	$-0.264139\pi$
$691$	13.6437	+	6.57045i	0.519030	+	0.249952i	−0.155980	+	0.987760i	$0.549854\pi$
$692$	−14.1902	+	6.83362i	−0.539429	+	0.259775i
$693$	−18.9519	−	3.40209i	−0.719924	−	0.129235i
$694$	−33.1616	−	15.9698i	−1.25880	−	0.606204i
$695$	41.7461	+	52.3479i	1.58352	+	1.98567i
$696$	4.49178	−	2.16313i	0.170260	−	0.0819931i
$697$	−37.7288	+	47.3105i	−1.42908	+	1.79201i
$698$	−9.19203	+	40.2729i	−0.347923	+	1.52435i
$699$	12.3548	−	15.4924i	0.467301	−	0.585978i
$700$	−20.3908	+	17.8834i	−0.770701	+	0.675928i
$701$	−15.2112	−	19.0742i	−0.574519	−	0.720424i	0.406648	−	0.913585i	$-0.366698\pi$
$701$	−15.2112	−	19.0742i	−0.574519	−	0.720424i	−0.981167	+	0.193161i	$0.938126\pi$
$702$	−3.93236	+	1.89372i	−0.148417	+	0.0714740i
$703$	−1.56651	+	6.86333i	−0.0590820	+	0.258855i
$704$	24.5037			0.923517
$705$	13.6673			0.514741
$706$	−0.834897	+	3.65792i	−0.0314218	+	0.137668i
$707$	9.17752	+	6.64126i	0.345156	+	0.249770i
$708$	−1.07966	−	4.73031i	−0.0405762	−	0.177776i
$709$	6.12331	+	26.8280i	0.229966	+	1.00754i	0.949667	+	0.313261i	$0.101422\pi$
$709$	6.12331	+	26.8280i	0.229966	+	1.00754i	−0.719701	+	0.694284i	$0.755721\pi$
$710$	−5.61685	−	7.04331i	−0.210797	−	0.264331i
$711$	8.10346	+	10.1614i	0.303903	+	0.381083i
$712$	6.89647	+	30.2154i	0.258456	+	1.13237i
$713$	0.431618	+	1.89104i	0.0161642	+	0.0708201i
$714$	−0.575323	−	12.2896i	−0.0215309	−	0.459925i
$715$	−2.83970	+	12.4416i	−0.106199	+	0.465288i
$716$	1.41403			0.0528448
$717$	−7.78985			−0.290917
$718$	−3.13377	+	13.7300i	−0.116951	+	0.512398i
$719$	−34.7963	+	16.7570i	−1.29768	+	0.624931i	−0.949873	−	0.312635i	$-0.898788\pi$
$719$	−34.7963	+	16.7570i	−1.29768	+	0.624931i	−0.347808	+	0.937566i	$0.613074\pi$
$720$	14.3507	+	17.9952i	0.534820	+	0.670643i
$721$	−37.7482	−	27.3162i	−1.40582	−	1.01731i
$722$	−1.43691	+	1.80183i	−0.0534764	+	0.0670572i
$723$	0.722997	−	3.16766i	0.0268885	−	0.117806i
$724$	−3.95390	+	4.95803i	−0.146945	+	0.184264i
$725$	30.2398	−	14.5627i	1.12308	−	0.540846i
$726$	1.29419	+	1.62286i	0.0480318	+	0.0602299i
$727$	13.6382	+	6.56782i	0.505814	+	0.243587i	0.669346	−	0.742951i	$-0.266574\pi$
$727$	13.6382	+	6.56782i	0.505814	+	0.243587i	−0.163532	+	0.986538i	$0.552289\pi$
$728$	7.84595	−	2.18139i	0.290790	−	0.0808479i
$729$	3.78448	−	1.82251i	0.140166	−	0.0675003i
$730$	−60.7772	−	29.2688i	−2.24947	−	1.08329i
$731$	−8.44865	−	37.0159i	−0.312484	−	1.36908i
$732$	4.16250	+	2.00456i	0.153851	+	0.0740905i
$733$	1.91721	−	2.40411i	0.0708138	−	0.0887977i	−0.745163	−	0.666882i	$-0.767628\pi$
$733$	1.91721	−	2.40411i	0.0708138	−	0.0887977i	0.815977	+	0.578085i	$0.196200\pi$
$734$	−31.0244			−1.14513
$735$	−6.72372	−	20.4290i	−0.248008	−	0.753536i
$736$	8.74679			0.322411
$737$	−7.21894	+	9.05226i	−0.265913	+	0.333444i
$738$	26.5021	+	12.7627i	0.975554	+	0.469802i
$739$	−8.71293	−	38.1738i	−0.320510	−	1.40425i	−0.836648	−	0.547741i	$-0.815488\pi$
$739$	−8.71293	−	38.1738i	−0.320510	−	1.40425i	0.516138	−	0.856506i	$-0.327369\pi$
$740$	4.81920	+	2.32081i	0.177157	+	0.0853145i
$741$	2.58642	−	1.24556i	0.0950146	−	0.0457566i
$742$	23.5126	+	17.0147i	0.863173	+	0.624630i
$743$	−34.1984	−	16.4691i	−1.25462	−	0.604192i	−0.315871	−	0.948802i	$-0.602297\pi$
$743$	−34.1984	−	16.4691i	−1.25462	−	0.604192i	−0.938746	+	0.344610i	$0.888011\pi$
$744$	−1.12627	−	1.41230i	−0.0412911	−	0.0517774i
$745$	29.5725	−	14.2414i	1.08345	−	0.521764i
$746$	22.8317	−	28.6300i	0.835927	−	1.04822i
$747$	1.34604	−	5.89737i	0.0492489	−	0.215773i
$748$	7.52686	−	9.43838i	0.275209	−	0.345101i
$749$	0.425628	+	0.787361i	0.0155521	+	0.0287695i
$750$	−20.5392	−	25.7554i	−0.749987	−	0.940454i
$751$	11.7807	−	5.67330i	0.429885	−	0.207021i	−0.206413	−	0.978465i	$-0.566179\pi$
$751$	11.7807	−	5.67330i	0.429885	−	0.207021i	0.636298	+	0.771443i	$0.280465\pi$
$752$	−2.05511	+	9.00402i	−0.0749421	+	0.328343i
$753$	5.09778			0.185774
$754$	−2.64007			−0.0961457
$755$	−2.13336	+	9.34687i	−0.0776410	+	0.340167i
$756$	6.95386	−	1.93337i	0.252910	−	0.0703160i
$757$	−1.63025	−	7.14260i	−0.0592525	−	0.259602i	0.936622	−	0.350341i	$-0.113934\pi$
$757$	−1.63025	−	7.14260i	−0.0592525	−	0.259602i	−0.995875	+	0.0907387i	$0.971077\pi$
$758$	−0.436619	−	1.91295i	−0.0158587	−	0.0694816i
$759$	−2.89627	−	3.63181i	−0.105128	−	0.131826i
$760$	−34.8573	−	43.7096i	−1.26441	−	1.58552i
$761$	−1.80061	−	7.88899i	−0.0652721	−	0.285976i	0.931749	−	0.363103i	$-0.118283\pi$
$761$	−1.80061	−	7.88899i	−0.0652721	−	0.285976i	−0.997021	+	0.0771268i	$0.975425\pi$
$762$	0.00740117	+	0.0324267i	0.000268116	+	0.00117469i
$763$	11.9019	−	10.4383i	0.430878	−	0.377893i
$764$	−2.57418	+	11.2782i	−0.0931305	+	0.408031i
$765$	65.1328			2.35488
$766$	35.7307			1.29100
$767$	−2.18243	+	9.56186i	−0.0788031	+	0.345259i
$768$	−9.18986	+	4.42560i	−0.331611	+	0.159695i
$769$	1.60174	+	2.00851i	0.0577601	+	0.0724288i	0.809872	−	0.586606i	$-0.199536\pi$
$769$	1.60174	+	2.00851i	0.0577601	+	0.0724288i	−0.752112	+	0.659035i	$0.770965\pi$
$770$	−15.0053	+	35.2920i	−0.540753	+	1.27183i
$771$	1.92044	−	2.40816i	0.0691631	−	0.0867278i
$772$	2.91567	−	12.7744i	0.104937	−	0.459761i
$773$	19.3952	−	24.3208i	0.697597	−	0.874759i	−0.299244	−	0.954176i	$-0.596735\pi$
$773$	19.3952	−	24.3208i	0.697597	−	0.874759i	0.996841	+	0.0794175i	$0.0253060\pi$
$774$	−16.6284	+	8.00784i	−0.597697	+	0.287836i
$775$	−7.58235	−	9.50796i	−0.272366	−	0.341536i
$776$	−12.5782	−	6.05733i	−0.451530	−	0.217445i
$777$	−2.36869	+	2.07741i	−0.0849764	+	0.0745268i
$778$	8.83317	−	4.25383i	0.316684	−	0.152507i
$779$	−38.2287	−	18.4099i	−1.36968	−	0.659605i
$780$	−0.485360	−	2.12650i	−0.0173787	−	0.0761409i
$781$	4.69111	+	2.25912i	0.167861	+	0.0808376i
$782$	−9.58236	+	12.0159i	−0.342664	+	0.429687i
$783$	−8.93187			−0.319199
$784$	14.4696	−	1.35774i	0.516772	−	0.0484906i
$785$	35.8370			1.27908
$786$	10.4432	−	13.0954i	0.372497	−	0.467096i
$787$	−9.94291	−	4.78825i	−0.354427	−	0.170683i	0.248195	−	0.968710i	$-0.420163\pi$
$787$	−9.94291	−	4.78825i	−0.354427	−	0.170683i	−0.602621	+	0.798027i	$0.705877\pi$
$788$	−1.18139	−	5.17602i	−0.0420854	−	0.184388i
$789$	−10.7694	−	5.18628i	−0.383401	−	0.184636i
$790$	23.3222	−	11.2314i	0.829767	−	0.399595i
$791$	15.1168	+	27.9643i	0.537493	+	0.994297i
$792$	−20.1821	−	9.71918i	−0.717139	−	0.345356i
$793$	−5.82274	−	7.30149i	−0.206772	−	0.259283i
$794$	−2.39730	+	1.15448i	−0.0850769	+	0.0409709i
$795$	18.5012	−	23.1997i	0.656169	−	0.822810i
$796$	−2.31331	+	10.1353i	−0.0819931	+	0.359235i
$797$	−2.36897	+	2.97060i	−0.0839133	+	0.105224i	−0.822016	−	0.569465i	$-0.807151\pi$
$797$	−2.36897	+	2.97060i	−0.0839133	+	0.105224i	0.738103	+	0.674688i	$0.235722\pi$
$798$	8.31148	−	2.31083i	0.294223	−	0.0818023i
$799$	16.2948	+	20.4330i	0.576468	+	0.722867i
$800$	−49.4087	+	23.7940i	−1.74686	+	0.841245i
$801$	5.63375	−	24.6831i	0.199059	−	0.872134i
$802$	−4.26437			−0.150580
$803$	38.9882			1.37586
$804$	0.440358	−	1.92933i	0.0155302	−	0.0680423i
$805$	−10.5123	+	24.7246i	−0.370509	+	0.871426i
$806$	0.212859	+	0.932595i	0.00749762	+	0.0328492i
$807$	−1.21933	−	5.34222i	−0.0429223	−	0.188055i
$808$	8.21703	+	10.3038i	0.289074	+	0.362487i
$809$	−1.08562	−	1.36133i	−0.0381685	−	0.0478618i	0.762381	−	0.647129i	$-0.224030\pi$
$809$	−1.08562	−	1.36133i	−0.0381685	−	0.0478618i	−0.800549	+	0.599267i	$0.795459\pi$
$810$	−5.42187	−	23.7548i	−0.190505	−	0.834657i
$811$	−1.12680	−	4.93683i	−0.0395673	−	0.173355i	0.951284	−	0.308317i	$-0.0997659\pi$
$811$	−1.12680	−	4.93683i	−0.0395673	−	0.173355i	−0.990851	+	0.134962i	$0.956909\pi$
$812$	4.29714	+	0.771386i	0.150800	+	0.0270703i
$813$	3.72540	−	16.3220i	0.130655	−	0.572439i
$814$	5.61789			0.196907
$815$	−64.7287			−2.26735
$816$	1.89142	−	8.28686i	0.0662130	−	0.290098i
$817$	23.9862	−	11.5511i	0.839170	−	0.404123i
$818$	8.29595	+	10.4028i	0.290061	+	0.363725i
$819$	−6.54783	−	1.17541i	−0.228800	−	0.0410722i
$820$	−20.1007	+	25.2055i	−0.701948	+	0.880215i
$821$	−6.45709	+	28.2903i	−0.225354	+	0.987340i	0.728022	+	0.685554i	$0.240440\pi$
$821$	−6.45709	+	28.2903i	−0.225354	+	0.987340i	−0.953376	+	0.301786i	$0.902417\pi$
$822$	−1.07974	+	1.35395i	−0.0376602	+	0.0472244i
$823$	24.1207	−	11.6159i	0.840795	−	0.404906i	0.0366424	−	0.999328i	$-0.488334\pi$
$823$	24.1207	−	11.6159i	0.840795	−	0.404906i	0.804153	+	0.594423i	$0.202619\pi$
$824$	−33.7975	−	42.3808i	−1.17739	−	1.47640i
$825$	26.2400	+	12.6365i	0.913561	+	0.439948i
$826$	−11.5322	+	27.1234i	−0.401256	+	0.943743i
$827$	−28.2914	+	13.6244i	−0.983787	+	0.473767i	−0.855406	−	0.517958i	$-0.826692\pi$
$827$	−28.2914	+	13.6244i	−0.983787	+	0.473767i	−0.128381	+	0.991725i	$0.540978\pi$
$828$	−3.70401	−	1.78376i	−0.128723	−	0.0619899i
$829$	9.17337	+	40.1911i	0.318604	+	1.39590i	0.840002	+	0.542583i	$0.182553\pi$
$829$	9.17337	+	40.1911i	0.318604	+	1.39590i	−0.521398	+	0.853313i	$0.674589\pi$
$830$	−10.8546	−	5.22731i	−0.376769	−	0.181442i
$831$	1.74149	−	2.18376i	0.0604116	−	0.0757537i
$832$	8.46594			0.293504
$833$	22.5256	−	34.4085i	0.780465	−	1.19218i
$834$	−12.0194			−0.416199
$835$	61.0237	−	76.5213i	2.11181	−	2.64813i
$836$	7.62657	+	3.67276i	0.263770	+	0.127025i
$837$	0.720142	+	3.15515i	0.0248918	+	0.109058i
$838$	1.64673	+	0.793022i	0.0568853	+	0.0273945i
$839$	−42.1512	+	20.2990i	−1.45522	+	0.700798i	−0.983493	−	0.180945i	$-0.942084\pi$
$839$	−42.1512	+	20.2990i	−1.45522	+	0.700798i	−0.471729	+	0.881744i	$0.656370\pi$
$840$	−1.17003	−	24.9932i	−0.0403698	−	0.862346i
$841$	21.2604	+	10.2385i	0.733117	+	0.353051i
$842$	2.50581	+	3.14219i	0.0863560	+	0.108287i
$843$	4.77202	−	2.29809i	0.164357	−	0.0791503i
$844$	−5.46325	+	6.85070i	−0.188053	+	0.235811i
$845$	−0.981109	+	4.29852i	−0.0337512	+	0.147874i
$846$	7.92089	−	9.93248i	0.272326	−	0.341486i
$847$	0.324468	+	6.93101i	0.0111488	+	0.238152i
$848$	12.5020	+	15.6770i	0.429320	+	0.538350i
$849$	−2.50180	+	1.20480i	−0.0858614	+	0.0413487i
$850$	21.4417	−	93.9422i	0.735444	−	3.22219i
$851$	3.93574			0.134915
$852$	−0.889930			−0.0304885
$853$	5.39812	−	23.6507i	0.184828	−	0.809784i	−0.794461	−	0.607316i	$-0.792246\pi$
$853$	5.39812	−	23.6507i	0.184828	−	0.809784i	0.979289	−	0.202469i	$-0.0648965\pi$
$854$	−13.3458	−	24.6880i	−0.456682	−	0.844808i
$855$	10.1626	+	44.5253i	0.347554	+	1.52273i
$856$	0.231702	+	1.01515i	0.00791940	+	0.0346971i
$857$	13.3851	+	16.7843i	0.457225	+	0.573342i	0.955992	−	0.293394i	$-0.0947848\pi$
$857$	13.3851	+	16.7843i	0.457225	+	0.573342i	−0.498766	+	0.866736i	$0.666213\pi$
$858$	−1.42834	−	1.79108i	−0.0487626	−	0.0611463i
$859$	2.95436	+	12.9439i	0.100802	+	0.441641i	0.999992	+	0.00408248i	$0.00129950\pi$
$859$	2.95436	+	12.9439i	0.100802	+	0.441641i	−0.899190	+	0.437558i	$0.855843\pi$
$860$	−4.50117	−	19.7209i	−0.153489	−	0.672478i
$861$	−9.03024	−	16.7049i	−0.307750	−	0.569301i
$862$	−9.77861	+	42.8429i	−0.333061	+	1.45923i
$863$	−35.1627			−1.19695			−0.598476	−	0.801141i	$-0.704227\pi$
$863$	−35.1627			−1.19695			−0.598476	+	0.801141i	$0.704227\pi$
$864$	14.5938			0.496490
$865$	21.7663	−	95.3644i	0.740076	−	3.24249i
$866$	−12.9521	+	6.23739i	−0.440129	+	0.211955i
$867$	−7.61082	−	9.54366i	−0.258477	−	0.324120i
$868$	−0.0739726	−	1.58014i	−0.00251080	−	0.0536335i
$869$	−9.32805	+	11.6970i	−0.316433	+	0.396794i
$870$	−1.80497	+	7.90807i	−0.0611941	+	0.268109i
$871$	−2.49412	+	3.12753i	−0.0845100	+	0.105972i
$872$	16.5931	−	7.99083i	0.561914	−	0.270604i
$873$	7.11063	+	8.91644i	0.240658	+	0.301776i
$874$	−9.70930	−	4.67575i	−0.328422	−	0.158160i
$875$	−5.14943	−	109.998i	−0.174082	−	3.71860i
$876$	−6.00390	+	2.89132i	−0.202853	+	0.0976888i
$877$	−38.1679	−	18.3807i	−1.28884	−	0.620672i	−0.341193	−	0.939993i	$-0.610831\pi$
$877$	−38.1679	−	18.3807i	−1.28884	−	0.620672i	−0.947647	+	0.319321i	$0.896545\pi$
$878$	1.69104	+	7.40893i	0.0570698	+	0.250039i
$879$	5.59977	+	2.69671i	0.188876	+	0.0909577i
$880$	−16.5194	+	20.7147i	−0.556869	+	0.698292i
$881$	27.5438			0.927973			0.463987	−	0.885842i	$-0.346419\pi$
$881$	27.5438			0.927973			0.463987	+	0.885842i	$0.346419\pi$
$882$	−18.7431	−	6.95328i	−0.631114	−	0.234129i
$883$	−9.36103			−0.315024			−0.157512	−	0.987517i	$-0.550347\pi$
$883$	−9.36103			−0.315024			−0.157512	+	0.987517i	$0.550347\pi$
$884$	2.60050	−	3.26093i	0.0874644	−	0.109677i
$885$	27.1495	+	13.0745i	0.912622	+	0.439496i
$886$	−6.62948	−	29.0457i	−0.222722	−	0.975808i
$887$	14.4274	+	6.94785i	0.484424	+	0.233286i	0.660123	−	0.751158i	$-0.270504\pi$
$887$	14.4274	+	6.94785i	0.484424	+	0.233286i	−0.175699	+	0.984444i	$0.556219\pi$
$888$	−3.30233	+	1.59032i	−0.110819	+	0.0533676i
$889$	−0.0435029	+	0.102318i	−0.00145904	+	0.00343162i
$890$	−45.4313	−	21.8786i	−1.52286	−	0.733372i
$891$	8.78030	+	11.0101i	0.294151	+	0.368854i
$892$	−6.29678	+	3.03237i	−0.210832	+	0.101531i
$893$	−11.4257	+	14.3274i	−0.382347	+	0.479448i
$894$	−1.31114	+	5.74447i	−0.0438510	+	0.192124i
$895$	−5.47551	+	6.86607i	−0.183026	+	0.229507i
$896$	5.26074	+	0.944364i	0.175749	+	0.0315490i
$897$	−1.00065	−	1.25478i	−0.0334108	−	0.0418958i
$898$	13.6387	−	6.56806i	0.455130	−	0.219179i
$899$	−0.435603	+	1.90850i	−0.0145282	+	0.0636520i
$900$	25.7755			0.859184
$901$	56.7420			1.89035
$902$	−7.53462	+	33.0113i	−0.250875	+	1.09916i
$903$	11.7273	+	2.10518i	0.390259	+	0.0700560i
$904$	8.22924	+	36.0546i	0.273700	+	1.19916i
$905$	−8.76401	−	38.3976i	−0.291326	−	1.27638i
$906$	−1.07305	−	1.34557i	−0.0356498	−	0.0447035i
$907$	−3.43573	−	4.30827i	−0.114082	−	0.143054i	0.721512	−	0.692402i	$-0.243447\pi$
$907$	−3.43573	−	4.30827i	−0.114082	−	0.143054i	−0.835594	+	0.549348i	$0.814876\pi$
$908$	3.62609	+	15.8869i	0.120336	+	0.527227i
$909$	−2.39567	−	10.4961i	−0.0794593	−	0.348134i
$910$	−5.18428	+	12.1933i	−0.171857	+	0.404203i
$911$	−0.962112	+	4.21529i	−0.0318762	+	0.139659i	−0.988362	−	0.152120i	$-0.951390\pi$
$911$	−0.962112	+	4.21529i	−0.0318762	+	0.139659i	0.956486	+	0.291779i	$0.0942471\pi$
$912$	5.96008			0.197358
$913$	6.96316			0.230447
$914$	−9.19593	+	40.2900i	−0.304174	+	1.33268i
$915$	−25.8518	+	12.4496i	−0.854634	+	0.411570i
$916$	4.35786	+	5.46458i	0.143988	+	0.180555i
$917$	53.9437	−	14.9979i	1.78138	−	0.495273i
$918$	−15.9879	+	20.0482i	−0.527679	+	0.661688i
$919$	9.52813	−	41.7455i	0.314304	−	1.37706i	−0.533075	−	0.846068i	$-0.678964\pi$
$919$	9.52813	−	41.7455i	0.314304	−	1.37706i	0.847379	−	0.530988i	$-0.178179\pi$
$920$	−19.4875	+	24.4366i	−0.642485	+	0.805651i
$921$	−9.76167	+	4.70097i	−0.321658	+	0.154902i
$922$	6.72855	+	8.43734i	0.221593	+	0.277869i
$923$	1.62076	+	0.780518i	0.0533480	+	0.0256911i
$924$	1.80152	+	3.33260i	0.0592657	+	0.109635i
$925$	−22.2321	+	10.7064i	−0.730988	+	0.352025i
$926$	11.8781	+	5.72017i	0.390337	+	0.187976i
$927$	9.85365	+	43.1717i	0.323636	+	1.41794i
$928$	7.95333	+	3.83012i	0.261081	+	0.125730i
$929$	−25.8342	+	32.3951i	−0.847594	+	1.06285i	0.149656	+	0.988738i	$0.452183\pi$
$929$	−25.8342	+	32.3951i	−0.847594	+	1.06285i	−0.997250	+	0.0741111i	$0.976388\pi$
$930$	2.93902			0.0963744
$931$	27.0366	+	10.0300i	0.886088	+	0.328719i
$932$	20.1874			0.661260
$933$	−12.7445	+	15.9811i	−0.417237	+	0.523199i
$934$	−14.2296	−	6.85263i	−0.465608	−	0.224225i
$935$	16.6837	+	73.0959i	0.545614	+	2.39049i
$936$	−6.97285	−	3.35795i	−0.227915	−	0.109758i
$937$	−0.427762	+	0.205999i	−0.0139744	+	0.00672971i	−0.440858	−	0.897577i	$-0.645326\pi$
$937$	−0.427762	+	0.205999i	−0.0139744	+	0.00672971i	0.426883	+	0.904307i	$0.359611\pi$
$938$	−9.03772	+	7.92635i	−0.295092	+	0.258804i
$939$	19.5174	+	9.39909i	0.636927	+	0.306728i
$940$	8.68134	+	10.8861i	0.283154	+	0.355064i
$941$	32.4241	−	15.6146i	1.05700	−	0.509022i	0.177102	−	0.984193i	$-0.443328\pi$
$941$	32.4241	−	15.6146i	1.05700	−	0.509022i	0.879894	+	0.475170i	$0.157613\pi$
$942$	−4.01107	+	5.02972i	−0.130688	+	0.163877i
$943$	−5.27854	+	23.1268i	−0.171893	+	0.753112i
$944$	−12.6959	+	15.9201i	−0.413215	+	0.518155i
$945$	−17.5394	+	41.2522i	−0.570557	+	1.34193i
$946$	−13.2462	−	16.6102i	−0.430672	−	0.540045i
$947$	−16.5612	+	7.97543i	−0.538165	+	0.259167i	−0.683164	−	0.730265i	$-0.739397\pi$
$947$	−16.5612	+	7.97543i	−0.538165	+	0.259167i	0.144998	+	0.989432i	$0.453682\pi$
$948$	0.569014	−	2.49301i	0.0184807	−	0.0809694i
$949$	13.4703			0.437264
$950$	67.5652			2.19211
$951$	2.33747	−	10.2411i	0.0757976	−	0.332091i
$952$	35.9704	−	31.5471i	1.16581	−	1.02245i
$953$	8.77256	+	38.4351i	0.284171	+	1.24504i	0.892390	+	0.451266i	$0.149027\pi$
$953$	8.77256	+	38.4351i	0.284171	+	1.24504i	−0.608218	+	0.793770i	$0.708116\pi$
$954$	−6.13764	−	26.8908i	−0.198713	−	0.870620i
$955$	−44.7954	−	56.1716i	−1.44954	−	1.81767i
$956$	−4.94803	−	6.20463i	−0.160031	−	0.200672i
$957$	−1.04321	−	4.57059i	−0.0337221	−	0.147746i
$958$	5.90079	+	25.8530i	0.190646	+	0.835274i
$959$	−5.57731	+	1.55065i	−0.180101	+	0.0500731i
$960$	5.78800	−	25.3589i	0.186807	−	0.818455i
$961$	−30.2907			−0.977120
$962$	1.94096			0.0625792
$963$	0.189278	−	0.829280i	0.00609939	−	0.0267232i
$964$	2.98228	−	1.43619i	0.0960529	−	0.0462566i
$965$	50.7380	+	63.6234i	1.63331	+	2.04811i
$966$	−2.29350	−	4.24270i	−0.0737921	−	0.136507i
$967$	13.2037	−	16.5569i	0.424601	−	0.532433i	−0.522811	−	0.852448i	$-0.675117\pi$
$967$	13.2037	−	16.5569i	0.424601	−	0.532433i	0.947412	+	0.320016i	$0.103688\pi$
$968$	−1.79622	+	7.86973i	−0.0577325	+	0.252943i
$969$	10.5157	−	13.1862i	0.337812	−	0.423603i
$970$	20.4648	−	9.85532i	0.657085	−	0.316435i
$971$	−17.4926	−	21.9350i	−0.561363	−	0.703927i	0.417446	−	0.908702i	$-0.362925\pi$
$971$	−17.4926	−	21.9350i	−0.561363	−	0.703927i	−0.978809	+	0.204775i	$0.934354\pi$
$972$	−9.54215	−	4.59526i	−0.306065	−	0.147393i
$973$	−32.5495	−	23.5543i	−1.04349	−	0.755115i
$974$	31.7021	−	15.2669i	1.01580	−	0.489183i
$975$	9.06585	+	4.36588i	0.290339	+	0.139820i
$976$	−4.31451	−	18.9031i	−0.138104	−	0.605074i
$977$	−24.5277	−	11.8119i	−0.784710	−	0.377896i	−0.00177383	−	0.999998i	$-0.500565\pi$
$977$	−24.5277	−	11.8119i	−0.784710	−	0.377896i	−0.782936	+	0.622102i	$0.786279\pi$
$978$	7.24477	−	9.08466i	0.231662	−	0.290495i
$979$	29.1439			0.931443
$980$	12.0009	−	18.3317i	0.383355	−	0.585586i
$981$	−15.0449			−0.480346
$982$	26.0617	−	32.6803i	0.831661	−	1.04287i
$983$	9.02501	+	4.34621i	0.287853	+	0.138623i	0.572238	−	0.820087i	$-0.306075\pi$
$983$	9.02501	+	4.34621i	0.287853	+	0.138623i	−0.284385	+	0.958710i	$0.591790\pi$
$984$	−4.91585	−	21.5377i	−0.156711	−	0.686598i
$985$	29.7077	+	14.3065i	0.946567	+	0.455843i
$986$	−13.9747	+	6.72987i	−0.445046	+	0.214323i
$987$	−7.90166	+	2.19688i	−0.251513	+	0.0699276i
$988$	2.63495	+	1.26893i	0.0838290	+	0.0403699i
$989$	−9.27992	−	11.6367i	−0.295084	−	0.370024i
$990$	32.8364	−	15.8132i	1.04361	−	0.502576i
$991$	22.5677	−	28.2990i	0.716887	−	0.898948i	−0.281270	−	0.959629i	$-0.590756\pi$
$991$	22.5677	−	28.2990i	0.716887	−	0.898948i	0.998157	+	0.0606805i	$0.0193271\pi$
$992$	0.711730	−	3.11829i	0.0225974	−	0.0990058i
$993$	−3.20780	+	4.02246i	−0.101797	+	0.127649i
$994$	4.37948	+	3.16918i	0.138909	+	0.100520i
$995$	−40.2558	−	50.4792i	−1.27620	−	1.60030i
$996$	−1.07228	+	0.516381i	−0.0339764	+	0.0163622i
$997$	−3.52145	+	15.4285i	−0.111525	+	0.488625i	0.888057	+	0.459733i	$0.152055\pi$
$997$	−3.52145	+	15.4285i	−0.111525	+	0.488625i	−0.999583	+	0.0288916i	$0.990802\pi$
$998$	−23.5065			−0.744086
$999$	6.56666			0.207760

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	637.2.w.b.92.19	✓	174
49.8	even	7	inner	637.2.w.b.547.19	yes	174

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
637.2.w.b.92.19	✓	174	1.1	even	1	trivial
637.2.w.b.547.19	yes	174	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)

\(f(q)\)	\(=\)	\(q+(0.708170 - 0.888017i) q^{2} +(0.627836 + 0.302350i) q^{3} +(0.157972 + 0.692122i) q^{4} +(-3.97243 - 1.91302i) q^{5} +(0.713107 - 0.343414i) q^{6} +(2.60413 + 0.467470i) q^{7} +(2.77316 + 1.33548i) q^{8} +(-1.56771 - 1.96584i) q^{9} +O(q^{10})\)	\(q+(0.708170 - 0.888017i) q^{2} +(0.627836 + 0.302350i) q^{3} +(0.157972 + 0.692122i) q^{4} +(-3.97243 - 1.91302i) q^{5} +(0.713107 - 0.343414i) q^{6} +(2.60413 + 0.467470i) q^{7} +(2.77316 + 1.33548i) q^{8} +(-1.56771 - 1.96584i) q^{9} +(-4.51195 + 2.17284i) q^{10} +(1.80462 - 2.26292i) q^{11} +(-0.110082 + 0.482302i) q^{12} +(0.623490 - 0.781831i) q^{13} +(2.25929 - 1.98146i) q^{14} +(-1.91563 - 2.40213i) q^{15} +(1.87056 - 0.900816i) q^{16} +(1.30734 - 5.72783i) q^{17} -2.85590 q^{18} +4.11958 q^{19} +(0.696510 - 3.05161i) q^{20} +(1.49362 + 1.08085i) q^{21} +(-0.731535 - 3.20506i) q^{22} +(-0.512493 - 2.24538i) q^{23} +(1.33731 + 1.67693i) q^{24} +(9.00309 + 11.2895i) q^{25} +(-0.252743 - 1.10734i) q^{26} +(-0.855079 - 3.74635i) q^{27} +(0.0878332 + 1.87622i) q^{28} +(0.517223 - 2.26610i) q^{29} -3.48972 q^{30} -0.842194 q^{31} +(-0.845090 + 3.70258i) q^{32} +(1.81720 - 0.875117i) q^{33} +(-4.16060 - 5.21722i) q^{34} +(-9.45042 - 6.83874i) q^{35} +(1.11295 - 1.39559i) q^{36} +(-0.380259 + 1.66603i) q^{37} +(2.91736 - 3.65826i) q^{38} +(0.627836 - 0.302350i) q^{39} +(-8.46136 - 10.6102i) q^{40} +(-9.27974 - 4.46889i) q^{41} +(2.01756 - 0.560937i) q^{42} +(5.82248 - 2.80396i) q^{43} +(1.85130 + 0.891538i) q^{44} +(2.46691 + 10.8082i) q^{45} +(-2.35687 - 1.13501i) q^{46} +(-2.77351 + 3.47788i) q^{47} +1.44677 q^{48} +(6.56294 + 2.43470i) q^{49} +16.4010 q^{50} +(2.55261 - 3.20087i) q^{51} +(0.639617 + 0.308023i) q^{52} +(2.14911 + 9.41585i) q^{53} +(-3.93236 - 1.89372i) q^{54} +(-11.4977 + 5.53701i) q^{55} +(6.59735 + 4.77413i) q^{56} +(2.58642 + 1.24556i) q^{57} +(-1.64606 - 2.06409i) q^{58} +(-8.83649 + 4.25543i) q^{59} +(1.35995 - 1.70532i) q^{60} +(2.07811 - 9.10480i) q^{61} +(-0.596417 + 0.747883i) q^{62} +(-3.16353 - 5.85216i) q^{63} +(5.27843 + 6.61894i) q^{64} +(-3.97243 + 1.91302i) q^{65} +(0.509767 - 2.23343i) q^{66} -4.00026 q^{67} +4.17088 q^{68} +(0.357128 - 1.56468i) q^{69} +(-12.7654 + 3.54915i) q^{70} +(0.400295 + 1.75381i) q^{71} +(-1.72215 - 7.54523i) q^{72} +(8.39858 + 10.5315i) q^{73} +(1.21017 + 1.51751i) q^{74} +(2.23908 + 9.81005i) q^{75} +(0.650780 + 2.85125i) q^{76} +(5.75730 - 5.04932i) q^{77} +(0.176123 - 0.771644i) q^{78} -5.16899 q^{79} -9.15396 q^{80} +(-1.08267 + 4.74347i) q^{81} +(-10.5401 + 5.07584i) q^{82} +(1.49996 + 1.88089i) q^{83} +(-0.512130 + 1.20452i) q^{84} +(-16.1508 + 20.2524i) q^{85} +(1.63334 - 7.15614i) q^{86} +(1.00989 - 1.26636i) q^{87} +(8.02658 - 3.86540i) q^{88} +(6.27799 + 7.87235i) q^{89} +(11.3449 + 5.46340i) q^{90} +(1.98913 - 1.74452i) q^{91} +(1.47312 - 0.709415i) q^{92} +(-0.528760 - 0.254637i) q^{93} +(1.12429 + 4.92585i) q^{94} +(-16.3647 - 7.88084i) q^{95} +(-1.65005 + 2.06910i) q^{96} -4.53569 q^{97} +(6.80974 - 4.10382i) q^{98} -7.27766 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 174 q - 3 q^{2} - 31 q^{4} - 4 q^{5} - 2 q^{6} + 9 q^{7} - 15 q^{8} - 31 q^{9}+O(q^{10}) \) 174 * q - 3 * q^2 - 31 * q^4 - 4 * q^5 - 2 * q^6 + 9 * q^7 - 15 * q^8 - 31 * q^9	\( 174 q - 3 q^{2} - 31 q^{4} - 4 q^{5} - 2 q^{6} + 9 q^{7} - 15 q^{8} - 31 q^{9} - 10 q^{10} - 5 q^{11} + 25 q^{12} - 29 q^{13} + 15 q^{14} - 10 q^{15} - 51 q^{16} - 9 q^{17} + 44 q^{18} + 24 q^{19} + 63 q^{20} - 28 q^{21} - 8 q^{22} - 13 q^{23} - 48 q^{24} - 49 q^{25} - 3 q^{26} - 9 q^{27} - 44 q^{28} + 2 q^{29} - 22 q^{30} + 10 q^{31} + 24 q^{32} - 26 q^{33} + 118 q^{34} + 5 q^{35} - 55 q^{36} - 32 q^{37} + 16 q^{38} + 42 q^{40} - 14 q^{41} + 4 q^{42} - 50 q^{43} + 35 q^{44} - q^{45} + 4 q^{46} - 24 q^{47} - 116 q^{48} - 25 q^{49} + 156 q^{50} + 12 q^{51} - 31 q^{52} - 30 q^{53} - 78 q^{54} + 25 q^{55} + 3 q^{56} - 63 q^{57} - 12 q^{58} - 4 q^{59} + 128 q^{60} - 42 q^{61} - 38 q^{62} - 85 q^{63} - 105 q^{64} - 4 q^{65} + 15 q^{66} + 94 q^{67} + 214 q^{68} + 32 q^{69} - 57 q^{70} - 29 q^{71} - 64 q^{72} - 66 q^{73} - 90 q^{74} + 131 q^{75} - 21 q^{76} - 82 q^{77} + 19 q^{78} + 6 q^{79} + 22 q^{80} + 49 q^{81} - 50 q^{82} + 25 q^{83} + 89 q^{84} - 86 q^{85} - 28 q^{86} + 24 q^{87} + 48 q^{88} - 50 q^{89} - 155 q^{90} - 5 q^{91} - 98 q^{92} + 89 q^{93} - 28 q^{94} - 130 q^{95} - 105 q^{96} - 42 q^{97} + 195 q^{98} + 438 q^{99}+O(q^{100}) \) 174 * q - 3 * q^2 - 31 * q^4 - 4 * q^5 - 2 * q^6 + 9 * q^7 - 15 * q^8 - 31 * q^9 - 10 * q^10 - 5 * q^11 + 25 * q^12 - 29 * q^13 + 15 * q^14 - 10 * q^15 - 51 * q^16 - 9 * q^17 + 44 * q^18 + 24 * q^19 + 63 * q^20 - 28 * q^21 - 8 * q^22 - 13 * q^23 - 48 * q^24 - 49 * q^25 - 3 * q^26 - 9 * q^27 - 44 * q^28 + 2 * q^29 - 22 * q^30 + 10 * q^31 + 24 * q^32 - 26 * q^33 + 118 * q^34 + 5 * q^35 - 55 * q^36 - 32 * q^37 + 16 * q^38 + 42 * q^40 - 14 * q^41 + 4 * q^42 - 50 * q^43 + 35 * q^44 - q^45 + 4 * q^46 - 24 * q^47 - 116 * q^48 - 25 * q^49 + 156 * q^50 + 12 * q^51 - 31 * q^52 - 30 * q^53 - 78 * q^54 + 25 * q^55 + 3 * q^56 - 63 * q^57 - 12 * q^58 - 4 * q^59 + 128 * q^60 - 42 * q^61 - 38 * q^62 - 85 * q^63 - 105 * q^64 - 4 * q^65 + 15 * q^66 + 94 * q^67 + 214 * q^68 + 32 * q^69 - 57 * q^70 - 29 * q^71 - 64 * q^72 - 66 * q^73 - 90 * q^74 + 131 * q^75 - 21 * q^76 - 82 * q^77 + 19 * q^78 + 6 * q^79 + 22 * q^80 + 49 * q^81 - 50 * q^82 + 25 * q^83 + 89 * q^84 - 86 * q^85 - 28 * q^86 + 24 * q^87 + 48 * q^88 - 50 * q^89 - 155 * q^90 - 5 * q^91 - 98 * q^92 + 89 * q^93 - 28 * q^94 - 130 * q^95 - 105 * q^96 - 42 * q^97 + 195 * q^98 + 438 * q^99

Introduction

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