LMFDB - Embedded newform 91.2.w.a.19.5

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [91,2,Mod(19,91)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(91, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([10, 5]))

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

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

chi := DirichletCharacter("91.19");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 91 = 7 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	91.w (of order $12$, degree $4$, 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:	$0.726638658394$
Analytic rank:	$0$
Dimension:	$28$
Relative dimension:	$7$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			19.5
Character	$\chi$	$=$	91.19
Dual form			91.2.w.a.24.5

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.369709 + 0.0990633i) q^{2} -0.914861i q^{3} +(-1.60518 - 0.926751i) q^{4} +(3.58134 - 0.959617i) q^{5} +(0.0906291 - 0.338232i) q^{6} +(-2.28025 + 1.34181i) q^{7} +(-1.04293 - 1.04293i) q^{8} +2.16303 q^{9} +O(q^{10})$	\(q+(0.369709 + 0.0990633i) q^{2} -0.914861i q^{3} +(-1.60518 - 0.926751i) q^{4} +(3.58134 - 0.959617i) q^{5} +(0.0906291 - 0.338232i) q^{6} +(-2.28025 + 1.34181i) q^{7} +(-1.04293 - 1.04293i) q^{8} +2.16303 q^{9} +1.41912 q^{10} +(0.0619435 + 0.0619435i) q^{11} +(-0.847848 + 1.46852i) q^{12} +(-1.63590 + 3.21307i) q^{13} +(-0.975954 + 0.270190i) q^{14} +(-0.877916 - 3.27643i) q^{15} +(1.57124 + 2.72146i) q^{16} +(-2.94521 + 5.10126i) q^{17} +(0.799692 + 0.214277i) q^{18} +(-2.62545 - 2.62545i) q^{19} +(-6.63802 - 1.77865i) q^{20} +(1.22757 + 2.08611i) q^{21} +(0.0167648 + 0.0290374i) q^{22} +(-0.386571 + 0.223187i) q^{23} +(-0.954139 + 0.954139i) q^{24} +(7.57501 - 4.37343i) q^{25} +(-0.923104 + 1.02585i) q^{26} -4.72345i q^{27} +(4.90374 - 0.0406215i) q^{28} +(0.706429 - 1.22357i) q^{29} -1.29829i q^{30} +(-0.520311 + 1.94183i) q^{31} +(1.07478 + 4.01115i) q^{32} +(0.0566697 - 0.0566697i) q^{33} +(-1.59422 + 1.59422i) q^{34} +(-6.87873 + 6.99365i) q^{35} +(-3.47205 - 2.00459i) q^{36} +(0.686183 - 2.56087i) q^{37} +(-0.710566 - 1.23074i) q^{38} +(2.93951 + 1.49662i) q^{39} +(-4.73592 - 2.73428i) q^{40} +(-3.00264 + 0.804556i) q^{41} +(0.247186 + 0.892862i) q^{42} +(8.64788 - 4.99286i) q^{43} +(-0.0420243 - 0.156837i) q^{44} +(7.74655 - 2.07568i) q^{45} +(-0.165028 + 0.0442192i) q^{46} +(2.36877 + 8.84037i) q^{47} +(2.48976 - 1.43746i) q^{48} +(3.39909 - 6.11933i) q^{49} +(3.23380 - 0.866493i) q^{50} +(4.66694 + 2.69446i) q^{51} +(5.60363 - 3.64149i) q^{52} +(-6.28118 - 10.8793i) q^{53} +(0.467921 - 1.74630i) q^{54} +(0.281283 + 0.162399i) q^{55} +(3.77757 + 0.978732i) q^{56} +(-2.40192 + 2.40192i) q^{57} +(0.382384 - 0.382384i) q^{58} +(-1.85141 - 6.90954i) q^{59} +(-1.62722 + 6.07286i) q^{60} +0.127695i q^{61} +(-0.384727 + 0.666367i) q^{62} +(-4.93225 + 2.90238i) q^{63} -4.69551i q^{64} +(-2.77539 + 13.0769i) q^{65} +(0.0265652 - 0.0153374i) q^{66} +(-7.04056 + 7.04056i) q^{67} +(9.45519 - 5.45896i) q^{68} +(0.204185 + 0.353658i) q^{69} +(-3.23594 + 1.90419i) q^{70} +(-9.83277 - 2.63468i) q^{71} +(-2.25590 - 2.25590i) q^{72} +(-8.84847 - 2.37094i) q^{73} +(0.507376 - 0.878801i) q^{74} +(-4.00108 - 6.93007i) q^{75} +(1.78118 + 6.64744i) q^{76} +(-0.224363 - 0.0581303i) q^{77} +(0.938505 + 0.844511i) q^{78} +(1.75744 - 3.04398i) q^{79} +(8.23869 + 8.23869i) q^{80} +2.16779 q^{81} -1.18981 q^{82} +(2.17980 + 2.17980i) q^{83} +(-0.0371630 - 4.48623i) q^{84} +(-5.65256 + 21.0956i) q^{85} +(3.69181 - 0.989217i) q^{86} +(-1.11940 - 0.646284i) q^{87} -0.129206i q^{88} +(1.63171 + 0.437215i) q^{89} +3.06959 q^{90} +(-0.581076 - 9.52168i) q^{91} +0.827354 q^{92} +(1.77650 + 0.476012i) q^{93} +3.50302i q^{94} +(-11.9220 - 6.88319i) q^{95} +(3.66964 - 0.983278i) q^{96} +(0.452103 - 1.68727i) q^{97} +(1.86288 - 1.92565i) q^{98} +(0.133986 + 0.133986i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 28 q - 2 q^{2} - 6 q^{4} - 6 q^{5} + 12 q^{6} + 2 q^{7} - 4 q^{8} - 12 q^{9}+O(q^{10}) $ 28 * q - 2 * q^2 - 6 * q^4 - 6 * q^5 + 12 * q^6 + 2 * q^7 - 4 * q^8 - 12 * q^9	\( 28 q - 2 q^{2} - 6 q^{4} - 6 q^{5} + 12 q^{6} + 2 q^{7} - 4 q^{8} - 12 q^{9} - 12 q^{10} + 2 q^{11} + 8 q^{12} - 20 q^{14} + 10 q^{15} - 2 q^{16} - 6 q^{17} - 4 q^{18} - 8 q^{19} - 36 q^{20} - 2 q^{21} - 8 q^{22} - 6 q^{23} + 12 q^{24} + 24 q^{26} - 18 q^{28} - 8 q^{29} - 38 q^{31} - 20 q^{32} + 18 q^{33} + 12 q^{34} - 2 q^{35} + 54 q^{36} - 16 q^{37} + 28 q^{39} + 48 q^{40} + 18 q^{41} - 4 q^{42} + 48 q^{43} - 6 q^{44} + 12 q^{45} + 18 q^{46} - 42 q^{47} + 12 q^{48} + 8 q^{49} + 10 q^{50} + 12 q^{51} - 28 q^{52} + 12 q^{53} - 30 q^{54} - 6 q^{55} - 24 q^{56} + 12 q^{57} + 62 q^{58} - 6 q^{59} + 16 q^{60} - 36 q^{62} - 38 q^{63} - 2 q^{65} + 66 q^{66} - 4 q^{67} + 30 q^{68} + 42 q^{69} + 68 q^{70} - 42 q^{71} - 38 q^{72} + 14 q^{73} - 6 q^{74} - 20 q^{75} + 52 q^{76} - 62 q^{78} + 4 q^{79} + 12 q^{80} + 12 q^{81} - 108 q^{82} - 66 q^{83} - 56 q^{84} - 54 q^{85} - 30 q^{86} + 42 q^{87} - 30 q^{89} - 72 q^{90} - 42 q^{91} - 156 q^{92} + 14 q^{93} - 6 q^{95} + 18 q^{96} + 62 q^{97} + 112 q^{98} - 36 q^{99}+O(q^{100}) \) 28 * q - 2 * q^2 - 6 * q^4 - 6 * q^5 + 12 * q^6 + 2 * q^7 - 4 * q^8 - 12 * q^9 - 12 * q^10 + 2 * q^11 + 8 * q^12 - 20 * q^14 + 10 * q^15 - 2 * q^16 - 6 * q^17 - 4 * q^18 - 8 * q^19 - 36 * q^20 - 2 * q^21 - 8 * q^22 - 6 * q^23 + 12 * q^24 + 24 * q^26 - 18 * q^28 - 8 * q^29 - 38 * q^31 - 20 * q^32 + 18 * q^33 + 12 * q^34 - 2 * q^35 + 54 * q^36 - 16 * q^37 + 28 * q^39 + 48 * q^40 + 18 * q^41 - 4 * q^42 + 48 * q^43 - 6 * q^44 + 12 * q^45 + 18 * q^46 - 42 * q^47 + 12 * q^48 + 8 * q^49 + 10 * q^50 + 12 * q^51 - 28 * q^52 + 12 * q^53 - 30 * q^54 - 6 * q^55 - 24 * q^56 + 12 * q^57 + 62 * q^58 - 6 * q^59 + 16 * q^60 - 36 * q^62 - 38 * q^63 - 2 * q^65 + 66 * q^66 - 4 * q^67 + 30 * q^68 + 42 * q^69 + 68 * q^70 - 42 * q^71 - 38 * q^72 + 14 * q^73 - 6 * q^74 - 20 * q^75 + 52 * q^76 - 62 * q^78 + 4 * q^79 + 12 * q^80 + 12 * q^81 - 108 * q^82 - 66 * q^83 - 56 * q^84 - 54 * q^85 - 30 * q^86 + 42 * q^87 - 30 * q^89 - 72 * q^90 - 42 * q^91 - 156 * q^92 + 14 * q^93 - 6 * q^95 + 18 * q^96 + 62 * q^97 + 112 * q^98 - 36 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/91\mathbb{Z}\right)^\times$.

$n$	$15$	$66$
$\chi(n)$	$e\left(\frac{5}{12}\right)$	$e\left(\frac{5}{6}\right)$

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 $

$2$	0.369709	+	0.0990633i	0.261424	+	0.0700483i	0.387150	−	0.922017i	$-0.373459\pi$
$2$	0.369709	+	0.0990633i	0.261424	+	0.0700483i	−0.125726	+	0.992065i	$0.540126\pi$
$3$		−	0.914861i		−	0.528195i	−0.964496	−	0.264097i	$-0.914926\pi$
$3$		−	0.914861i		−	0.528195i	0.964496	−	0.264097i	$-0.0850741\pi$
$4$	−1.60518	−	0.926751i	−0.802590	−	0.463375i
$5$	3.58134	−	0.959617i	1.60162	−	0.429154i	0.656091	−	0.754681i	$-0.272209\pi$
$5$	3.58134	−	0.959617i	1.60162	−	0.429154i	0.945533	+	0.325528i	$0.105542\pi$
$6$	0.0906291	−	0.338232i	0.0369992	−	0.138083i
$7$	−2.28025	+	1.34181i	−0.861854	+	0.507157i
$7$	−2.28025	+	1.34181i	−0.861854	+	0.507157i
$8$	−1.04293	−	1.04293i	−0.368733	−	0.368733i
$9$	2.16303			0.721010
$10$	1.41912			0.448764
$11$	0.0619435	+	0.0619435i	0.0186767	+	0.0186767i	0.716383	−	0.697707i	$-0.245796\pi$
$11$	0.0619435	+	0.0619435i	0.0186767	+	0.0186767i	−0.697707	+	0.716383i	$0.745796\pi$
$12$	−0.847848	+	1.46852i	−0.244753	+	0.423924i
$13$	−1.63590	+	3.21307i	−0.453716	+	0.891146i
$13$	−1.63590	+	3.21307i	−0.453716	+	0.891146i
$14$	−0.975954	+	0.270190i	−0.260835	+	0.0722114i
$15$	−0.877916	−	3.27643i	−0.226677	−	0.845970i
$16$	1.57124	+	2.72146i	0.392809	+	0.680365i
$17$	−2.94521	+	5.10126i	−0.714319	+	1.23724i	0.248902	+	0.968529i	$0.419930\pi$
$17$	−2.94521	+	5.10126i	−0.714319	+	1.23724i	−0.963221	+	0.268709i	$0.913403\pi$
$18$	0.799692	+	0.214277i	0.188489	+	0.0505055i
$19$	−2.62545	−	2.62545i	−0.602318	−	0.602318i	0.338609	−	0.940927i	$-0.390044\pi$
$19$	−2.62545	−	2.62545i	−0.602318	−	0.602318i	−0.940927	+	0.338609i	$0.890044\pi$
$20$	−6.63802	−	1.77865i	−1.48431	−	0.397719i
$21$	1.22757	+	2.08611i	0.267878	+	0.455227i
$22$	0.0167648	+	0.0290374i	0.00357426	+	0.00619080i
$23$	−0.386571	+	0.223187i	−0.0806056	+	0.0465377i	−0.539761	−	0.841818i	$-0.681485\pi$
$23$	−0.386571	+	0.223187i	−0.0806056	+	0.0465377i	0.459155	+	0.888356i	$0.348152\pi$
$24$	−0.954139	+	0.954139i	−0.194763	+	0.194763i
$25$	7.57501	−	4.37343i	1.51500	−	0.874686i
$26$	−0.923104	+	1.02585i	−0.181036	+	0.201185i
$27$		−	4.72345i		−	0.909029i
$28$	4.90374	−	0.0406215i	0.926719	−	0.00767675i
$29$	0.706429	−	1.22357i	0.131181	−	0.227212i	−0.792951	−	0.609285i	$-0.791457\pi$
$29$	0.706429	−	1.22357i	0.131181	−	0.227212i	0.924132	+	0.382073i	$0.124790\pi$
$30$		−	1.29829i		−	0.237035i
$31$	−0.520311	+	1.94183i	−0.0934505	+	0.348762i	−0.996780	−	0.0801853i	$-0.974449\pi$
$31$	−0.520311	+	1.94183i	−0.0934505	+	0.348762i	0.903329	+	0.428947i	$0.141115\pi$
$32$	1.07478	+	4.01115i	0.189997	+	0.709078i
$33$	0.0566697	−	0.0566697i	0.00986492	−	0.00986492i
$34$	−1.59422	+	1.59422i	−0.273406	+	0.273406i
$35$	−6.87873	+	6.99365i	−1.16272	+	1.18214i
$36$	−3.47205	−	2.00459i	−0.578675	−	0.334098i
$37$	0.686183	−	2.56087i	0.112808	−	0.421004i	−0.886306	−	0.463100i	$-0.846737\pi$
$37$	0.686183	−	2.56087i	0.112808	−	0.421004i	0.999114	+	0.0420961i	$0.0134036\pi$
$38$	−0.710566	−	1.23074i	−0.115269	−	0.199652i
$39$	2.93951	+	1.49662i	0.470699	+	0.239651i
$40$	−4.73592	−	2.73428i	−0.748815	−	0.432328i
$41$	−3.00264	+	0.804556i	−0.468934	+	0.125651i	−0.485545	−	0.874211i	$-0.661379\pi$
$41$	−3.00264	+	0.804556i	−0.468934	+	0.125651i	0.0166112	+	0.999862i	$0.494712\pi$
$42$	0.247186	+	0.892862i	0.0381417	+	0.137772i
$43$	8.64788	−	4.99286i	1.31879	−	0.761404i	0.335256	−	0.942127i	$-0.391177\pi$
$43$	8.64788	−	4.99286i	1.31879	−	0.761404i	0.983534	+	0.180724i	$0.0578439\pi$
$44$	−0.0420243	−	0.156837i	−0.00633539	−	0.0236440i
$45$	7.74655	−	2.07568i	1.15479	−	0.309424i
$46$	−0.165028	+	0.0442192i	−0.0243321	+	0.00651977i
$47$	2.36877	+	8.84037i	0.345521	+	1.28950i	0.892003	+	0.452030i	$0.149300\pi$
$47$	2.36877	+	8.84037i	0.345521	+	1.28950i	−0.546482	+	0.837471i	$0.684033\pi$
$48$	2.48976	−	1.43746i	0.359365	−	0.207480i
$49$	3.39909	−	6.11933i	0.485584	−	0.874190i
$50$	3.23380	−	0.866493i	0.457328	−	0.122541i
$51$	4.66694	+	2.69446i	0.653503	+	0.377300i
$52$	5.60363	−	3.64149i	0.777083	−	0.504984i
$53$	−6.28118	−	10.8793i	−0.862786	−	1.49439i	−0.869229	−	0.494410i	$-0.835384\pi$
$53$	−6.28118	−	10.8793i	−0.862786	−	1.49439i	0.00644326	−	0.999979i	$-0.497949\pi$
$54$	0.467921	−	1.74630i	0.0636759	−	0.237642i
$55$	0.281283	+	0.162399i	0.0379282	+	0.0218978i
$56$	3.77757	+	0.978732i	0.504799	+	0.130789i
$57$	−2.40192	+	2.40192i	−0.318142	+	0.318142i
$58$	0.382384	−	0.382384i	0.0502095	−	0.0502095i
$59$	−1.85141	−	6.90954i	−0.241032	−	0.899545i	−0.975336	−	0.220724i	$-0.929158\pi$
$59$	−1.85141	−	6.90954i	−0.241032	−	0.899545i	0.734304	−	0.678821i	$-0.237509\pi$
$60$	−1.62722	+	6.07286i	−0.210073	+	0.784003i
$61$			0.127695i			0.0163496i	0.999967	+	0.00817481i	$0.00260215\pi$
$61$			0.127695i			0.0163496i	−0.999967	+	0.00817481i	$0.997398\pi$
$62$	−0.384727	+	0.666367i	−0.0488604	+	0.0846287i
$63$	−4.93225	+	2.90238i	−0.621405	+	0.365665i
$64$		−	4.69551i		−	0.586939i
$65$	−2.77539	+	13.0769i	−0.344244	+	1.62200i
$66$	0.0265652	−	0.0153374i	0.00326995	−	0.00188791i
$67$	−7.04056	+	7.04056i	−0.860142	+	0.860142i	−0.991354	−	0.131212i	$-0.958113\pi$
$67$	−7.04056	+	7.04056i	−0.860142	+	0.860142i	0.131212	+	0.991354i	$0.458113\pi$
$68$	9.45519	−	5.45896i	1.14661	−	0.661996i
$69$	0.204185	+	0.353658i	0.0245810	+	0.0425755i
$70$	−3.23594	+	1.90419i	−0.386769	+	0.227594i
$71$	−9.83277	−	2.63468i	−1.16694	−	0.312679i	−0.377203	−	0.926131i	$-0.623114\pi$
$71$	−9.83277	−	2.63468i	−1.16694	−	0.312679i	−0.789732	+	0.613451i	$0.789781\pi$
$72$	−2.25590	−	2.25590i	−0.265860	−	0.265860i
$73$	−8.84847	−	2.37094i	−1.03563	−	0.277498i	−0.299332	−	0.954149i	$-0.596764\pi$
$73$	−8.84847	−	2.37094i	−1.03563	−	0.277498i	−0.736303	+	0.676652i	$0.763430\pi$
$74$	0.507376	−	0.878801i	0.0589813	−	0.102159i
$75$	−4.00108	−	6.93007i	−0.462005	−	0.800216i
$76$	1.78118	+	6.64744i	0.204315	+	0.762514i
$77$	−0.224363	−	0.0581303i	−0.0255686	−	0.00662457i
$78$	0.938505	+	0.844511i	0.106265	+	0.0956221i
$79$	1.75744	−	3.04398i	0.197728	−	0.342474i	−0.750064	−	0.661366i	$-0.769977\pi$
$79$	1.75744	−	3.04398i	0.197728	−	0.342474i	0.947791	+	0.318891i	$0.103311\pi$
$80$	8.23869	+	8.23869i	0.921114	+	0.921114i
$81$	2.16779			0.240866
$82$	−1.18981			−0.131392
$83$	2.17980	+	2.17980i	0.239264	+	0.239264i	0.816545	−	0.577281i	$-0.195886\pi$
$83$	2.17980	+	2.17980i	0.239264	+	0.239264i	−0.577281	+	0.816545i	$0.695886\pi$
$84$	−0.0371630	−	4.48623i	−0.00405482	−	0.489488i
$85$	−5.65256	+	21.0956i	−0.613106	+	2.28814i
$86$	3.69181	−	0.989217i	0.398098	−	0.106670i
$87$	−1.11940	−	0.646284i	−0.120012	−	0.0692890i
$88$		−	0.129206i		−	0.0137734i
$89$	1.63171	+	0.437215i	0.172961	+	0.0463447i	0.344260	−	0.938874i	$-0.388130\pi$
$89$	1.63171	+	0.437215i	0.172961	+	0.0463447i	−0.171299	+	0.985219i	$0.554797\pi$
$90$	3.06959			0.323564
$91$	−0.581076	−	9.52168i	−0.0609133	−	0.998143i
$92$	0.827354			0.0862576
$93$	1.77650	+	0.476012i	0.184214	+	0.0493601i
$94$			3.50302i			0.361309i
$95$	−11.9220	−	6.88319i	−1.22318	−	0.706200i
$96$	3.66964	−	0.983278i	0.374531	−	0.100355i
$97$	0.452103	−	1.68727i	0.0459041	−	0.171317i	−0.939168	−	0.343458i	$-0.888402\pi$
$97$	0.452103	−	1.68727i	0.0459041	−	0.171317i	0.985072	+	0.172141i	$0.0550685\pi$
$98$	1.86288	−	1.92565i	0.188179	−	0.194520i
$99$	0.133986	+	0.133986i	0.0134661	+	0.0134661i
$100$	−16.2123			−1.62123
$101$	−6.82241			−0.678855			−0.339427	−	0.940632i	$-0.610233\pi$
$101$	−6.82241			−0.678855			−0.339427	+	0.940632i	$0.610233\pi$
$102$	1.45849	+	1.45849i	0.144412	+	0.144412i
$103$	−5.00029	+	8.66076i	−0.492693	+	0.853370i	−0.999965	−	0.00841640i	$-0.997321\pi$
$103$	−5.00029	+	8.66076i	−0.492693	+	0.853370i	0.507271	+	0.861787i	$0.330654\pi$
$104$	5.05716	−	1.64489i	0.495895	−	0.161295i
$105$	6.39821	+	6.29308i	0.624402	+	0.614142i
$106$	−1.24447	−	4.64442i	−0.120873	−	0.451106i
$107$	0.0299435	+	0.0518637i	0.00289475	+	0.00501386i	0.867469	−	0.497491i	$-0.165745\pi$
$107$	0.0299435	+	0.0518637i	0.00289475	+	0.00501386i	−0.864574	+	0.502505i	$0.832412\pi$
$108$	−4.37746	+	7.58199i	−0.421222	+	0.729577i
$109$	15.8862	+	4.25671i	1.52163	+	0.407719i	0.920277	−	0.391267i	$-0.127963\pi$
$109$	15.8862	+	4.25671i	1.52163	+	0.407719i	0.601350	+	0.798986i	$0.294630\pi$
$110$	0.0879051	+	0.0879051i	0.00838142	+	0.00838142i
$111$	−2.34284	−	0.627762i	−0.222372	−	0.0595845i
$112$	−7.23450	−	4.09731i	−0.683596	−	0.387160i
$113$	2.74673	+	4.75748i	0.258391	+	0.447546i	0.965811	−	0.259247i	$-0.0834744\pi$
$113$	2.74673	+	4.75748i	0.258391	+	0.447546i	−0.707420	+	0.706793i	$0.750141\pi$
$114$	−1.12595	+	0.650069i	−0.105455	+	0.0608845i
$115$	−1.17027	+	1.17027i	−0.109128	+	0.109128i
$116$	−2.26789	+	1.30937i	−0.210569	+	0.121572i
$117$	−3.53850	+	6.94997i	−0.327134	+	0.642525i
$118$		−	2.73793i		−	0.252047i
$119$	−0.129095	−	15.5841i	−0.0118341	−	1.42859i
$120$	−2.50149	+	4.33271i	−0.228354	+	0.395520i
$121$		−	10.9923i		−	0.999302i
$122$	−0.0126498	+	0.0472098i	−0.00114526	+	0.00427418i
$123$	0.736057	+	2.74700i	0.0663680	+	0.247689i
$124$	2.63478	−	2.63478i	0.236610	−	0.236610i
$125$	9.82324	−	9.82324i	0.878617	−	0.878617i
$126$	−2.11102	+	0.584430i	−0.188064	+	0.0520652i
$127$	14.7405	+	8.51045i	1.30801	+	0.755180i	0.981764	−	0.190104i	$-0.0608826\pi$
$127$	14.7405	+	8.51045i	1.30801	+	0.755180i	0.326247	+	0.945285i	$0.394216\pi$
$128$	2.61472	−	9.75827i	0.231111	−	0.862518i
$129$	−4.56777	−	7.91161i	−0.402170	−	0.696578i
$130$	−2.32153	+	4.55973i	−0.203612	+	0.399914i
$131$	2.35567	+	1.36005i	0.205816	+	0.118828i	0.599365	−	0.800475i	$-0.295420\pi$
$131$	2.35567	+	1.36005i	0.205816	+	0.118828i	−0.393549	+	0.919303i	$0.628753\pi$
$132$	−0.143484	+	0.0384463i	−0.0124886	+	0.00334632i
$133$	9.50952	+	2.46383i	0.824580	+	0.213641i
$134$	−3.30042	+	1.90550i	−0.285113	+	0.164610i
$135$	−4.53271	−	16.9163i	−0.390113	−	1.45592i
$136$	8.39194	−	2.24861i	0.719603	−	0.192817i
$137$	4.16096	−	1.11493i	0.355495	−	0.0952545i	−0.0766518	−	0.997058i	$-0.524423\pi$
$137$	4.16096	−	1.11493i	0.355495	−	0.0952545i	0.432147	+	0.901803i	$0.357756\pi$
$138$	0.0404544	+	0.150978i	0.00344371	+	0.0128521i
$139$	12.1251	−	7.00040i	1.02843	−	0.593766i	0.111898	−	0.993720i	$-0.464307\pi$
$139$	12.1251	−	7.00040i	1.02843	−	0.593766i	0.916535	+	0.399953i	$0.130974\pi$
$140$	17.5230	−	4.85119i	1.48096	−	0.410000i
$141$	8.08771	−	2.16709i	0.681108	−	0.182502i
$142$	−3.37426	−	1.94813i	−0.283162	−	0.163484i
$143$	−0.300362	+	0.0976958i	−0.0251176	+	0.00816973i
$144$	3.39863	+	5.88660i	0.283219	+	0.490550i
$145$	1.35580	−	5.05993i	0.112593	−	0.420204i
$146$	−3.03649	−	1.75312i	−0.251301	−	0.145089i
$147$	−5.59833	−	3.10969i	−0.461743	−	0.256483i
$148$	−3.47473	+	3.47473i	−0.285621	+	0.285621i
$149$	−6.48441	+	6.48441i	−0.531223	+	0.531223i	−0.920936	−	0.389713i	$-0.872574\pi$
$149$	−6.48441	+	6.48441i	−0.531223	+	0.531223i	0.389713	+	0.920936i	$0.372574\pi$
$150$	−0.792720	−	2.95847i	−0.0647253	−	0.241558i
$151$	1.96450	−	7.33161i	0.159869	−	0.596638i	−0.838770	−	0.544485i	$-0.816725\pi$
$151$	1.96450	−	7.33161i	0.159869	−	0.596638i	0.998639	−	0.0521530i	$-0.0166083\pi$
$152$			5.47633i			0.444189i
$153$	−6.37059	+	11.0342i	−0.515031	+	0.892061i
$154$	−0.0771905	−	0.0437175i	−0.00622019	−	0.00352285i
$155$			7.45364i			0.598691i
$156$	−3.33145	−	5.12654i	−0.266730	−	0.410452i
$157$	−0.438021	+	0.252891i	−0.0349578	+	0.0201829i	−0.517377	−	0.855758i	$-0.673092\pi$
$157$	−0.438021	+	0.252891i	−0.0349578	+	0.0201829i	0.482419	+	0.875940i	$0.339758\pi$
$158$	0.951289	−	0.951289i	0.0756805	−	0.0756805i
$159$	−9.95306	+	5.74640i	−0.789329	+	0.455719i
$160$	7.69834	+	13.3339i	0.608607	+	1.05414i
$161$	0.582004	−	1.02763i	0.0458684	−	0.0809883i
$162$	0.801452	+	0.214748i	0.0629680	+	0.0168722i
$163$	3.14032	+	3.14032i	0.245969	+	0.245969i	0.819314	−	0.573345i	$-0.194355\pi$
$163$	3.14032	+	3.14032i	0.245969	+	0.245969i	−0.573345	+	0.819314i	$0.694355\pi$
$164$	5.56541	+	1.49125i	0.434585	+	0.116447i
$165$	0.148572	−	0.257335i	0.0115663	−	0.0200335i
$166$	0.589953	+	1.02183i	0.0457892	+	0.0793093i
$167$	2.07730	+	7.75258i	0.160746	+	0.599913i	0.998545	+	0.0539330i	$0.0171757\pi$
$167$	2.07730	+	7.75258i	0.160746	+	0.599913i	−0.837798	+	0.545980i	$0.816158\pi$
$168$	0.895404	−	3.45595i	0.0690819	−	0.266632i
$169$	−7.64768	−	10.5125i	−0.588283	−	0.808655i
$170$	−4.17960	+	7.23929i	−0.320561	+	0.555228i
$171$	−5.67892	−	5.67892i	−0.434278	−	0.434278i
$172$	−18.5085			−1.41126
$173$	1.26309			0.0960313			0.0480157	−	0.998847i	$-0.484710\pi$
$173$	1.26309			0.0960313			0.0480157	+	0.998847i	$0.484710\pi$
$174$	−0.349828	−	0.349828i	−0.0265204	−	0.0265204i
$175$	−11.4046	+	20.1367i	−0.862107	+	1.52219i
$176$	−0.0712489	+	0.265905i	−0.00537059	+	0.0200433i
$177$	−6.32126	+	1.69378i	−0.475135	+	0.127312i
$178$	0.559946	+	0.323285i	0.0419697	+	0.0242312i
$179$			1.69022i			0.126333i	0.998003	+	0.0631665i	$0.0201199\pi$
$179$			1.69022i			0.126333i	−0.998003	+	0.0631665i	$0.979880\pi$
$180$	−14.3582	−	3.84728i	−1.07020	−	0.286759i
$181$	8.30825			0.617547			0.308774	−	0.951136i	$-0.400081\pi$
$181$	8.30825			0.617547			0.308774	+	0.951136i	$0.400081\pi$
$182$	0.728419	−	3.57781i	0.0539940	−	0.265205i
$183$	0.116823			0.00863578
$184$	0.635937	+	0.170399i	0.0468819	+	0.0125620i
$185$		−	9.82982i		−	0.722703i
$186$	0.609633	+	0.351972i	0.0447005	+	0.0258078i
$187$	−0.498427	+	0.133553i	−0.0364486	+	0.00976637i
$188$	4.39052	−	16.3856i	0.320211	−	1.19505i
$189$	6.33798	+	10.7707i	0.461020	+	0.783450i
$190$	−3.72581	−	3.72581i	−0.270299	−	0.270299i
$191$	20.6280			1.49259			0.746296	−	0.665614i	$-0.231830\pi$
$191$	20.6280			1.49259			0.746296	+	0.665614i	$0.231830\pi$
$192$	−4.29574			−0.310018
$193$	−9.48031	−	9.48031i	−0.682408	−	0.682408i	0.278134	−	0.960542i	$-0.410284\pi$
$193$	−9.48031	−	9.48031i	−0.682408	−	0.682408i	−0.960542	+	0.278134i	$0.910284\pi$
$194$	0.334293	−	0.579013i	0.0240009	−	0.0415707i
$195$	11.9636	+	2.53909i	0.856730	+	0.181828i
$196$	−11.1272	+	6.67251i	−0.794803	+	0.476608i
$197$	4.28034	+	15.9744i	0.304961	+	1.13813i	0.932979	+	0.359932i	$0.117200\pi$
$197$	4.28034	+	15.9744i	0.304961	+	1.13813i	−0.628017	+	0.778199i	$0.716133\pi$
$198$	0.0362627	+	0.0628088i	0.00257708	+	0.00446363i
$199$	6.48108	−	11.2256i	0.459432	−	0.795759i	−0.539499	−	0.841986i	$-0.681386\pi$
$199$	6.48108	−	11.2256i	0.459432	−	0.795759i	0.998931	+	0.0462272i	$0.0147198\pi$
$200$	−12.4614	−	3.33903i	−0.881157	−	0.236105i
$201$	6.44113	+	6.44113i	0.454323	+	0.454323i
$202$	−2.52231	−	0.675850i	−0.177469	−	0.0475526i
$203$	0.0309644	+	3.73795i	0.00217327	+	0.262352i
$204$	−4.99419	−	8.65018i	−0.349663	−	0.605634i
$205$	−9.98142	+	5.76278i	−0.697133	+	0.402490i
$206$	−2.70662	+	2.70662i	−0.188579	+	0.188579i
$207$	−0.836164	+	0.482760i	−0.0581174	+	0.0335541i
$208$	−11.3146	+	0.596465i	−0.784529	+	0.0413574i
$209$		−	0.325259i		−	0.0224986i
$210$	1.74206	+	2.96044i	0.120214	+	0.204290i
$211$	−3.19052	+	5.52614i	−0.219644	+	0.380435i	−0.954699	−	0.297572i	$-0.903823\pi$
$211$	−3.19052	+	5.52614i	−0.219644	+	0.380435i	0.735055	+	0.678008i	$0.237156\pi$
$212$			23.2843i			1.59917i
$213$	−2.41037	+	8.99561i	−0.165156	+	0.616369i
$214$	0.00593261	+	0.0221408i	0.000405545	+	0.00151351i
$215$	26.1798	−	26.1798i	1.78545	−	1.78545i
$216$	−4.92625	+	4.92625i	−0.335189	+	0.335189i
$217$	−1.41912	−	5.12601i	−0.0963363	−	0.347976i
$218$	5.45161	+	3.14749i	0.369229	+	0.213175i
$219$	−2.16908	+	8.09512i	−0.146573	+	0.547017i
$220$	−0.301006	−	0.521358i	−0.0202938	−	0.0351500i
$221$	−11.5727	−	17.8083i	−0.778461	−	1.19792i
$222$	−0.803981	−	0.464178i	−0.0539596	−	0.0311536i
$223$	−12.3622	+	3.31244i	−0.827834	+	0.221817i	−0.647769	−	0.761837i	$-0.724298\pi$
$223$	−12.3622	+	3.31244i	−0.827834	+	0.221817i	−0.180065	+	0.983655i	$0.557631\pi$
$224$	−7.83298	−	7.70427i	−0.523363	−	0.514763i
$225$	16.3850	−	9.45986i	1.09233	−	0.630658i
$226$	0.544201	+	2.03098i	0.0361997	+	0.135099i
$227$	−11.4537	+	3.06900i	−0.760207	+	0.203697i	−0.618041	−	0.786146i	$-0.712073\pi$
$227$	−11.4537	+	3.06900i	−0.760207	+	0.203697i	−0.142166	+	0.989843i	$0.545407\pi$
$228$	6.08148	−	1.62953i	0.402756	−	0.107918i
$229$	4.08875	+	15.2594i	0.270192	+	1.00837i	0.958995	+	0.283423i	$0.0914700\pi$
$229$	4.08875	+	15.2594i	0.270192	+	1.00837i	−0.688803	+	0.724949i	$0.741863\pi$
$230$	−0.548589	+	0.316728i	−0.0361729	+	0.0208844i
$231$	−0.0531811	+	0.205261i	−0.00349906	+	0.0135052i
$232$	−2.01286	+	0.539345i	−0.132151	+	0.0354098i
$233$	−11.6063	−	6.70088i	−0.760352	−	0.438989i	0.0690703	−	0.997612i	$-0.477997\pi$
$233$	−11.6063	−	6.70088i	−0.760352	−	0.438989i	−0.829422	+	0.558623i	$0.811330\pi$
$234$	−1.99670	+	2.21893i	−0.130528	+	0.145056i
$235$	16.9667	+	29.3873i	1.10679	+	1.91701i
$236$	−3.43158	+	12.8068i	−0.223377	+	0.833654i
$237$	−2.78482	−	1.60781i	−0.180893	−	0.104439i
$238$	1.49608	−	5.77436i	0.0969766	−	0.374296i
$239$	−14.4526	+	14.4526i	−0.934861	+	0.934861i	−0.998004	−	0.0631438i	$-0.979887\pi$
$239$	−14.4526	+	14.4526i	−0.934861	+	0.934861i	0.0631438	+	0.998004i	$0.479887\pi$
$240$	7.53725	−	7.53725i	0.486528	−	0.486528i
$241$	−0.264201	−	0.986010i	−0.0170187	−	0.0635145i	0.956894	−	0.290436i	$-0.0938005\pi$
$241$	−0.264201	−	0.986010i	−0.0170187	−	0.0635145i	−0.973913	+	0.226922i	$0.927134\pi$
$242$	1.08894	−	4.06396i	0.0699994	−	0.261241i
$243$		−	16.1536i		−	1.03625i
$244$	0.118341	−	0.204973i	0.00757601	−	0.0131220i
$245$	6.30109	−	25.1772i	0.402562	−	1.60851i
$246$			1.08851i			0.0694007i
$247$	12.7307	−	4.14079i	0.810036	−	0.263472i
$248$	2.56785	−	1.48255i	0.163058	−	0.0941418i
$249$	1.99421	−	1.99421i	0.126378	−	0.126378i
$250$	4.60486	−	2.65862i	0.291237	−	0.168146i
$251$	5.59470	+	9.69030i	0.353134	+	0.611646i	0.986797	−	0.161963i	$-0.0517826\pi$
$251$	5.59470	+	9.69030i	0.353134	+	0.611646i	−0.633663	+	0.773609i	$0.718449\pi$
$252$	10.6069	−	0.0878656i	0.668174	−	0.00553501i
$253$	−0.0377705	−	0.0101206i	−0.00237461	−	0.000636275i
$254$	4.60664	+	4.60664i	0.289046	+	0.289046i
$255$	19.2996	+	5.17130i	1.20859	+	0.323839i
$256$	−2.76214	+	4.78417i	−0.172634	+	0.299010i
$257$	−4.71336	−	8.16379i	−0.294012	−	0.509243i	0.680743	−	0.732522i	$-0.261657\pi$
$257$	−4.71336	−	8.16379i	−0.294012	−	0.509243i	−0.974754	+	0.223279i	$0.928324\pi$
$258$	−0.904996	−	3.37749i	−0.0563426	−	0.210273i
$259$	1.87153	+	6.76015i	0.116291	+	0.420055i
$260$	16.5741	−	18.4187i	1.02788	−	1.14228i
$261$	1.52803	−	2.64662i	0.0945826	−	0.163822i
$262$	0.736183	+	0.736183i	0.0454815	+	0.0454815i
$263$	13.7472			0.847689			0.423844	−	0.905735i	$-0.360680\pi$
$263$	13.7472			0.847689			0.423844	+	0.905735i	$0.360680\pi$
$264$	−0.118205			−0.00727505
$265$	−32.9350	−	32.9350i	−2.02318	−	2.02318i
$266$	3.27168	+	1.85294i	0.200600	+	0.113611i
$267$	0.399991	−	1.49279i	0.0244790	−	0.0913570i
$268$	17.8262	−	4.77652i	1.08891	−	0.291772i
$269$	20.4250	+	11.7924i	1.24534	+	0.718995i	0.970176	−	0.242403i	$-0.0779355\pi$
$269$	20.4250	+	11.7924i	1.24534	+	0.718995i	0.275161	+	0.961398i	$0.411269\pi$
$270$		−	6.70313i		−	0.407940i
$271$	−8.78083	−	2.35282i	−0.533397	−	0.142923i	−0.0179406	−	0.999839i	$-0.505711\pi$
$271$	−8.78083	−	2.35282i	−0.533397	−	0.142923i	−0.515457	+	0.856916i	$0.672378\pi$
$272$	−18.5105			−1.12236
$273$	−8.71101	+	0.531604i	−0.527214	+	0.0321741i
$274$	1.64879			0.0996072
$275$	0.740128	+	0.198317i	0.0446314	+	0.0119589i
$276$		−	0.756913i		−	0.0455608i
$277$	10.9662	+	6.33135i	0.658897	+	0.380414i	0.791856	−	0.610707i	$-0.209115\pi$
$277$	10.9662	+	6.33135i	0.658897	+	0.380414i	−0.132960	+	0.991121i	$0.542448\pi$
$278$	5.17622	−	1.38697i	0.310449	−	0.0831846i
$279$	−1.12545	+	4.20023i	−0.0673788	+	0.251461i
$280$	14.4680	−	0.119850i	0.864627	−	0.00716239i
$281$	−23.5896	−	23.5896i	−1.40724	−	1.40724i	−0.773769	−	0.633468i	$-0.781631\pi$
$281$	−23.5896	−	23.5896i	−1.40724	−	1.40724i	−0.633468	−	0.773769i	$-0.718369\pi$
$282$	3.20478			0.190842
$283$	−22.8388			−1.35763			−0.678813	−	0.734312i	$-0.737505\pi$
$283$	−22.8388			−1.35763			−0.678813	+	0.734312i	$0.737505\pi$
$284$	13.3417	+	13.3417i	0.791682	+	0.791682i
$285$	−6.29716	+	10.9070i	−0.373012	+	0.646075i
$286$	−0.120725	+	0.00636415i	−0.00713860	+	0.000376320i
$287$	5.76722	−	5.86357i	0.340428	−	0.346115i
$288$	2.32479	+	8.67624i	0.136990	+	0.511252i
$289$	−8.84857	−	15.3262i	−0.520504	−	0.901540i
$290$	1.00251	−	1.73639i	0.0588692	−	0.101964i
$291$	−1.54362	−	0.413611i	−0.0904885	−	0.0242463i
$292$	12.0061	+	12.0061i	0.702604	+	0.702604i
$293$	−11.5762	−	3.10184i	−0.676290	−	0.181211i	−0.0957036	−	0.995410i	$-0.530510\pi$
$293$	−11.5762	−	3.10184i	−0.676290	−	0.181211i	−0.580587	+	0.814198i	$0.697177\pi$
$294$	−1.76170	−	1.70427i	−0.102744	−	0.0993951i
$295$	−13.2610	−	22.9688i	−0.772087	−	1.33729i
$296$	−3.38646	+	1.95517i	−0.196834	+	0.113642i
$297$	0.292587	−	0.292587i	0.0169776	−	0.0169776i
$298$	−3.03971	+	1.75498i	−0.176086	+	0.101663i
$299$	−0.0847250	−	1.60719i	−0.00489977	−	0.0929462i
$300$			14.8320i			0.856327i
$301$	−13.0199	+	22.9888i	−0.750453	+	1.32505i
$302$	1.45259	−	2.51596i	0.0835870	−	0.144777i
$303$			6.24155i			0.358568i
$304$	3.01985	−	11.2702i	0.173200	−	0.646393i
$305$	0.122538	+	0.457318i	0.00701650	+	0.0261859i
$306$	−3.44835	+	3.44835i	−0.197129	+	0.197129i
$307$	18.9842	−	18.9842i	1.08348	−	1.08348i	0.0873012	−	0.996182i	$-0.472176\pi$
$307$	18.9842	−	18.9842i	1.08348	−	1.08348i	0.996182	−	0.0873012i	$-0.0278243\pi$
$308$	0.306271	+	0.301238i	0.0174514	+	0.0171646i
$309$	7.92339	+	4.57457i	0.450746	+	0.260238i
$310$	−0.738382	+	2.75568i	−0.0419373	+	0.156512i
$311$	14.8991	+	25.8060i	0.844851	+	1.46333i	0.885750	+	0.464162i	$0.153644\pi$
$311$	14.8991	+	25.8060i	0.844851	+	1.46333i	−0.0408993	+	0.999163i	$0.513022\pi$
$312$	−1.50485	−	4.62659i	−0.0851951	−	0.261929i
$313$	14.1617	+	8.17629i	0.800469	+	0.462151i	0.843635	−	0.536917i	$-0.180411\pi$
$313$	14.1617	+	8.17629i	0.800469	+	0.462151i	−0.0431661	+	0.999068i	$0.513744\pi$
$314$	−0.186992	+	0.0501045i	−0.0105526	+	0.00282756i
$315$	−14.8789	+	15.1275i	−0.838331	+	0.852336i
$316$	−5.64202	+	3.25742i	−0.317388	+	0.183244i
$317$	4.42013	+	16.4961i	0.248259	+	0.926516i	0.971717	+	0.236147i	$0.0758848\pi$
$317$	4.42013	+	16.4961i	0.248259	+	0.926516i	−0.723458	+	0.690368i	$0.757449\pi$
$318$	−4.24899	+	1.13851i	−0.238272	+	0.0638447i
$319$	0.119551	−	0.0320336i	0.00669357	−	0.00179354i
$320$	−4.50589	−	16.8162i	−0.251887	−	0.940056i
$321$	0.0474481	−	0.0273942i	0.00264829	−	0.00152899i
$322$	0.316972	−	0.322268i	0.0176642	−	0.0179593i
$323$	21.1256	−	5.66058i	1.17546	−	0.314963i
$324$	−3.47969	−	2.00900i	−0.193316	−	0.111611i
$325$	1.66022	+	31.4935i	0.0920924	+	1.74695i
$326$	0.849915	+	1.47210i	0.0470724	+	0.0815318i
$327$	3.89429	−	14.5337i	0.215355	−	0.803716i
$328$	3.97066	+	2.29246i	0.219243	+	0.126580i
$329$	−17.2635	−	16.9798i	−0.951767	−	0.936128i
$330$	0.0804209	−	0.0804209i	0.00442702	−	0.00442702i
$331$	15.3983	−	15.3983i	0.846367	−	0.846367i	−0.143311	−	0.989678i	$-0.545775\pi$
$331$	15.3983	−	15.3983i	0.846367	−	0.846367i	0.989678	+	0.143311i	$0.0457750\pi$
$332$	−1.47884	−	5.51909i	−0.0811617	−	0.302900i
$333$	1.48423	−	5.53924i	0.0813355	−	0.303548i
$334$			3.07198i			0.168091i
$335$	−18.4584	+	31.9709i	−1.00849	+	1.74676i
$336$	−3.74847	+	6.61855i	−0.204496	+	0.361072i
$337$		−	22.6556i		−	1.23413i	−0.786912	−	0.617066i	$-0.788321\pi$
$337$		−	22.6556i		−	1.23413i	0.786912	−	0.617066i	$-0.211679\pi$
$338$	−1.78601	−	4.64418i	−0.0971462	−	0.252610i
$339$	4.35243	−	2.51288i	0.236392	−	0.136481i
$340$	28.6238	−	28.6238i	1.55234	−	1.55234i
$341$	−0.152513	+	0.0880536i	−0.00825906	+	0.00476837i
$342$	−1.53698	−	2.66212i	−0.0831101	−	0.143951i
$343$	0.460196	+	18.5145i	0.0248483	+	0.999691i
$344$	−14.2264	−	3.81195i	−0.767036	−	0.205527i
$345$	1.07063	+	1.07063i	0.0576409	+	0.0576409i
$346$	0.466978	+	0.125126i	0.0251049	+	0.00672683i
$347$	−5.93541	+	10.2804i	−0.318630	+	0.551883i	−0.980202	−	0.197998i	$-0.936556\pi$
$347$	−5.93541	+	10.2804i	−0.318630	+	0.551883i	0.661573	+	0.749881i	$0.269889\pi$
$348$	1.19789	+	2.07481i	0.0642136	+	0.111221i
$349$	5.38273	+	20.0886i	0.288131	+	1.07532i	0.946521	+	0.322642i	$0.104571\pi$
$349$	5.38273	+	20.0886i	0.288131	+	1.07532i	−0.658390	+	0.752677i	$0.728762\pi$
$350$	−6.21120	+	6.31496i	−0.332002	+	0.337549i
$351$	15.1768	+	7.72709i	0.810078	+	0.412441i
$352$	−0.181889	+	0.315041i	−0.00969470	+	0.0167917i
$353$	−19.7661	−	19.7661i	−1.05204	−	1.05204i	−0.998569	−	0.0534720i	$-0.982971\pi$
$353$	−19.7661	−	19.7661i	−1.05204	−	1.05204i	−0.0534720	−	0.998569i	$-0.517029\pi$
$354$	−2.50482			−0.133130
$355$	−37.7428			−2.00318
$356$	−2.21400	−	2.21400i	−0.117342	−	0.117342i
$357$	−14.2573	+	0.118104i	−0.754574	+	0.00625073i
$358$	−0.167439	+	0.624890i	−0.00884941	+	0.0330265i
$359$	−15.1561	+	4.06106i	−0.799907	+	0.214334i	−0.635543	−	0.772065i	$-0.719224\pi$
$359$	−15.1561	+	4.06106i	−0.799907	+	0.214334i	−0.164364	+	0.986400i	$0.552557\pi$
$360$	−10.2439	−	5.91434i	−0.539903	−	0.311713i
$361$		−	5.21407i		−	0.274425i
$362$	3.07164	+	0.823042i	0.161442	+	0.0432581i
$363$	−10.0564			−0.527826
$364$	−7.89149	+	15.8225i	−0.413627	+	0.829325i
$365$	−33.9646			−1.77779
$366$	0.0431904	+	0.0115728i	0.00225760	+	0.000604922i
$367$		−	4.79215i		−	0.250148i	−0.992147	−	0.125074i	$-0.960083\pi$
$367$		−	4.79215i		−	0.250148i	0.992147	−	0.125074i	$-0.0399169\pi$
$368$	−1.21479	−	0.701358i	−0.0633252	−	0.0365608i
$369$	−6.49481	+	1.74028i	−0.338106	+	0.0905953i
$370$	0.973774	−	3.63417i	0.0506241	−	0.188932i
$371$	28.9206	+	16.3794i	1.50148	+	0.850377i
$372$	−2.41046	−	2.41046i	−0.124976	−	0.124976i
$373$	1.88377			0.0975381			0.0487690	−	0.998810i	$-0.484470\pi$
$373$	1.88377			0.0975381			0.0487690	+	0.998810i	$0.484470\pi$
$374$	−0.197503			−0.0102126
$375$	−8.98689	−	8.98689i	−0.464081	−	0.464081i
$376$	6.74945	−	11.6904i	0.348076	−	0.602886i
$377$	2.77578	+	4.27145i	0.142960	+	0.219991i
$378$	1.27623	+	4.60987i	0.0656423	+	0.237106i
$379$	−0.368612	−	1.37568i	−0.0189343	−	0.0706638i	0.955812	−	0.293978i	$-0.0949792\pi$
$379$	−0.368612	−	1.37568i	−0.0189343	−	0.0706638i	−0.974747	+	0.223314i	$0.928312\pi$
$380$	12.7580	+	22.0975i	0.654472	+	1.13358i
$381$	7.78588	−	13.4855i	0.398882	−	0.690885i
$382$	7.62638	+	2.04348i	0.390199	+	0.104554i
$383$	7.73807	+	7.73807i	0.395397	+	0.395397i	0.876606	−	0.481209i	$-0.159802\pi$
$383$	7.73807	+	7.73807i	0.395397	+	0.395397i	−0.481209	+	0.876606i	$0.659802\pi$
$384$	−8.92746	−	2.39211i	−0.455578	−	0.122072i
$385$	−0.859304	+	0.00711829i	−0.0437942	+	0.000362782i
$386$	−2.56581	−	4.44411i	−0.130596	−	0.226199i
$387$	18.7056	−	10.7997i	0.950861	−	0.548980i
$388$	−2.28939	+	2.28939i	−0.116226	+	0.116226i
$389$	−23.9984	+	13.8555i	−1.21677	+	0.702502i	−0.964225	−	0.265084i	$-0.914600\pi$
$389$	−23.9984	+	13.8555i	−1.21677	+	0.702502i	−0.252544	+	0.967586i	$0.581267\pi$
$390$	4.17151	+	2.12388i	0.211233	+	0.107547i
$391$		−	2.62933i		−	0.132971i
$392$	−9.92709	+	2.83703i	−0.501394	+	0.143292i
$393$	1.24425	−	2.15511i	0.0627643	−	0.108711i
$394$			6.32992i			0.318897i
$395$	3.37294	−	12.5880i	0.169711	−	0.633371i
$396$	−0.0908997	−	0.339242i	−0.00456788	−	0.0170476i
$397$	8.88831	−	8.88831i	0.446092	−	0.446092i	−0.447961	−	0.894053i	$-0.647850\pi$
$397$	8.88831	−	8.88831i	0.446092	−	0.446092i	0.894053	+	0.447961i	$0.147850\pi$
$398$	3.50816	−	3.50816i	0.175848	−	0.175848i
$399$	2.25406	−	8.69989i	0.112844	−	0.435539i
$400$	23.8042	+	13.7434i	1.19021	+	0.687169i
$401$	−6.40227	+	23.8936i	−0.319714	+	1.19319i	0.599806	+	0.800146i	$0.295245\pi$
$401$	−6.40227	+	23.8936i	−0.319714	+	1.19319i	−0.919520	+	0.393044i	$0.871422\pi$
$402$	1.74327	+	3.01943i	0.0869462	+	0.150595i
$403$	−5.38805	−	4.84842i	−0.268398	−	0.241517i
$404$	10.9512	+	6.32267i	0.544842	+	0.314565i
$405$	7.76359	−	2.08025i	0.385776	−	0.103368i
$406$	−0.358845	+	1.38502i	−0.0178092	+	0.0687374i
$407$	0.201134	−	0.116125i	0.00996983	−	0.00575609i
$408$	−2.05717	−	7.67746i	−0.101845	−	0.380091i
$409$	11.0005	−	2.94757i	0.543939	−	0.145748i	0.0236214	−	0.999721i	$-0.492480\pi$
$409$	11.0005	−	2.94757i	0.543939	−	0.145748i	0.520317	+	0.853973i	$0.325814\pi$
$410$	−4.26110	+	1.14176i	−0.210441	+	0.0563875i
$411$	−1.02000	−	3.80670i	−0.0503130	−	0.187771i
$412$	16.0527	−	9.26805i	0.790861	−	0.456604i
$413$	13.4930	+	13.2712i	0.663945	+	0.653036i
$414$	−0.356961	+	0.0956475i	−0.0175437	+	0.00470082i
$415$	9.89837	+	5.71482i	0.485892	+	0.280530i
$416$	−14.6464	−	3.10847i	−0.718097	−	0.152405i
$417$	−6.40439	−	11.0927i	−0.313624	−	0.543213i
$418$	0.0322212	−	0.120251i	0.00157599	−	0.00588167i
$419$	−25.2233	−	14.5627i	−1.23224	−	0.711435i	−0.264744	−	0.964319i	$-0.585288\pi$
$419$	−25.2233	−	14.5627i	−1.23224	−	0.711435i	−0.967497	+	0.252884i	$0.918621\pi$
$420$	−4.43816	−	16.0311i	−0.216560	−	0.782236i
$421$	24.9431	−	24.9431i	1.21565	−	1.21565i	0.246512	−	0.969140i	$-0.420715\pi$
$421$	24.9431	−	24.9431i	1.21565	−	1.21565i	0.969140	−	0.246512i	$-0.0792845\pi$
$422$	−1.72700	+	1.72700i	−0.0840691	+	0.0840691i
$423$	5.12372	+	19.1220i	0.249124	+	0.929743i
$424$	−4.79556	+	17.8973i	−0.232893	+	0.869168i
$425$			51.5228i			2.49922i
$426$	−1.78227	+	3.08698i	−0.0863513	+	0.149565i
$427$	−0.171342	−	0.291176i	−0.00829181	−	0.0140910i
$428$		−	0.111001i		−	0.00536543i
$429$	0.0893780	+	0.274790i	0.00431521	+	0.0132670i
$430$	12.2724	−	7.08545i	0.591826	−	0.341691i
$431$	−2.31082	+	2.31082i	−0.111308	+	0.111308i	−0.760567	−	0.649259i	$-0.775079\pi$
$431$	−2.31082	+	2.31082i	−0.111308	+	0.111308i	0.649259	+	0.760567i	$0.275079\pi$
$432$	12.8547	−	7.42166i	0.618471	−	0.357075i
$433$	9.82888	+	17.0241i	0.472346	+	0.818127i	0.999499	−	0.0316430i	$-0.0100740\pi$
$433$	9.82888	+	17.0241i	0.472346	+	0.818127i	−0.527153	+	0.849770i	$0.676741\pi$
$434$	−0.0168634	−	2.03572i	−0.000809471	−	0.0977174i
$435$	−4.62913	−	1.24037i	−0.221950	−	0.0594713i
$436$	−21.5554	−	21.5554i	−1.03232	−	1.03232i
$437$	1.60089	+	0.428956i	0.0765807	+	0.0205197i
$438$	−1.60386	+	2.77796i	−0.0766353	+	0.132736i
$439$	−18.9037	−	32.7422i	−0.902226	−	1.56270i	−0.824598	−	0.565719i	$-0.808599\pi$
$439$	−18.9037	−	32.7422i	−0.902226	−	1.56270i	−0.0776279	−	0.996982i	$-0.524735\pi$
$440$	−0.123988	−	0.462731i	−0.00591091	−	0.0220598i
$441$	7.35234	−	13.2363i	0.350111	−	0.630300i
$442$	−2.51436	−	7.73033i	−0.119596	−	0.367694i
$443$	2.31623	−	4.01183i	0.110047	−	0.190608i	−0.805742	−	0.592267i	$-0.798233\pi$
$443$	2.31623	−	4.01183i	0.110047	−	0.190608i	0.915789	+	0.401659i	$0.131566\pi$
$444$	3.17890	+	3.17890i	0.150864	+	0.150864i
$445$	6.26326			0.296907
$446$	−4.89856			−0.231954
$447$	5.93233	+	5.93233i	0.280589	+	0.280589i
$448$	6.30049	+	10.7069i	0.297670	+	0.505856i
$449$	−3.43957	+	12.8367i	−0.162324	+	0.605800i	0.836043	+	0.548664i	$0.184863\pi$
$449$	−3.43957	+	12.8367i	−0.162324	+	0.605800i	−0.998366	+	0.0571356i	$0.981803\pi$
$450$	6.99480	−	1.87425i	0.329738	−	0.0883530i
$451$	−0.235831	−	0.136157i	−0.0111049	−	0.00641140i
$452$		−	10.1821i		−	0.478928i
$453$	−6.70741	−	1.79724i	−0.315141	−	0.0844419i
$454$	−4.53855			−0.213005
$455$	−11.2182	−	33.5428i	−0.525917	−	1.57251i
$456$	5.01008			0.234619
$457$	0.347873	+	0.0932123i	0.0162728	+	0.00436029i	0.266946	−	0.963711i	$-0.413985\pi$
$457$	0.347873	+	0.0932123i	0.0162728	+	0.00436029i	−0.250673	+	0.968072i	$0.580652\pi$
$458$			6.04660i			0.282539i
$459$	24.0956	+	13.9116i	1.12468	+	0.649337i
$460$	2.96304	−	0.793943i	0.138152	−	0.0370178i
$461$	6.55396	−	24.4597i	0.305249	−	1.13920i	−0.627483	−	0.778631i	$-0.715915\pi$
$461$	6.55396	−	24.4597i	0.305249	−	1.13920i	0.932731	−	0.360573i	$-0.117419\pi$
$462$	−0.0399954	+	0.0706186i	−0.00186075	+	0.00328547i
$463$	18.4801	+	18.4801i	0.858844	+	0.858844i	0.991202	−	0.132358i	$-0.0422548\pi$
$463$	18.4801	+	18.4801i	0.858844	+	0.858844i	−0.132358	+	0.991202i	$0.542255\pi$
$464$	4.43987			0.206116
$465$	6.81904			0.316225
$466$	−3.62713	−	3.62713i	−0.168024	−	0.168024i
$467$	15.6223	−	27.0587i	0.722916	−	1.25213i	−0.236911	−	0.971531i	$-0.576135\pi$
$467$	15.6223	−	27.0587i	0.722916	−	1.25213i	0.959826	−	0.280595i	$-0.0905318\pi$
$468$	12.1208	−	7.87665i	0.560285	−	0.364098i
$469$	6.60715	−	25.5014i	0.305090	−	1.17754i
$470$	3.36156	+	12.5455i	0.155057	+	0.578682i
$471$	0.231360	+	0.400728i	0.0106605	+	0.0184646i
$472$	−5.27530	+	9.13709i	−0.242815	+	0.420569i
$473$	0.844955	+	0.226405i	0.0388511	+	0.0104101i
$474$	−0.870296	−	0.870296i	−0.0399740	−	0.0399740i
$475$	−31.3700	−	8.40556i	−1.43935	−	0.385673i
$476$	−14.2353	+	25.1349i	−0.652475	+	1.15206i
$477$	−13.5864	−	23.5323i	−0.622077	−	1.07747i
$478$	−6.77498	+	3.91154i	−0.309880	+	0.178909i
$479$	21.0688	−	21.0688i	0.962658	−	0.962658i	−0.0366691	−	0.999327i	$-0.511675\pi$
$479$	21.0688	−	21.0688i	0.962658	−	0.962658i	0.999327	+	0.0366691i	$0.0116748\pi$
$480$	12.1987	−	7.04290i	0.556791	−	0.321463i
$481$	7.10574	+	6.39408i	0.323994	+	0.291545i
$482$		−	0.390709i		−	0.0177963i
$483$	−0.940135	−	0.532453i	−0.0427776	−	0.0242274i
$484$	−10.1871	+	17.6447i	−0.463052	+	0.802030i
$485$		−	6.47654i		−	0.294085i
$486$	1.60023	−	5.97213i	0.0725878	−	0.270901i
$487$	−3.71106	−	13.8499i	−0.168164	−	0.627597i	−0.997615	−	0.0690178i	$-0.978013\pi$
$487$	−3.71106	−	13.8499i	−0.168164	−	0.627597i	0.829451	−	0.558579i	$-0.188653\pi$
$488$	0.133177	−	0.133177i	0.00602864	−	0.00602864i
$489$	2.87295	−	2.87295i	0.129920	−	0.129920i
$490$	4.82371	−	8.68404i	0.217913	−	0.392305i
$491$	16.5417	+	9.55034i	0.746515	+	0.431001i	0.824433	−	0.565959i	$-0.191494\pi$
$491$	16.5417	+	9.55034i	0.746515	+	0.431001i	−0.0779183	+	0.996960i	$0.524827\pi$
$492$	1.36428	−	5.09157i	0.0615066	−	0.229546i
$493$	4.16117	+	7.20736i	0.187410	+	0.324603i
$494$	5.11686	−	0.269741i	0.230218	−	0.0121362i
$495$	0.608423	+	0.351273i	0.0273466	+	0.0157886i
$496$	−6.10213	+	1.63506i	−0.273994	+	0.0734164i
$497$	25.9564	−	7.18597i	1.16431	−	0.322335i
$498$	0.934831	−	0.539725i	0.0418908	−	0.0241856i
$499$	5.97607	+	22.3030i	0.267526	+	0.998420i	0.960686	+	0.277636i	$0.0895511\pi$
$499$	5.97607	+	22.3030i	0.267526	+	0.998420i	−0.693160	+	0.720783i	$0.743782\pi$
$500$	−24.8718	+	6.66437i	−1.11230	+	0.298039i
$501$	7.09253	−	1.90044i	0.316871	−	0.0849053i
$502$	1.10846	+	4.13682i	0.0494729	+	0.184635i
$503$	−10.9978	+	6.34957i	−0.490367	+	0.283113i	−0.724727	−	0.689036i	$-0.758034\pi$
$503$	−10.9978	+	6.34957i	−0.490367	+	0.283113i	0.234360	+	0.972150i	$0.424701\pi$
$504$	8.17100	+	2.11703i	0.363965	+	0.0942999i
$505$	−24.4334	+	6.54690i	−1.08727	+	0.291333i
$506$	−0.0129615	−	0.00748334i	−0.000576210	−	0.000332675i
$507$	−9.61749	+	6.99656i	−0.427128	+	0.310728i
$508$	−15.7741	−	27.3216i	−0.699864	−	1.21220i
$509$	−2.81254	+	10.4965i	−0.124663	+	0.465250i	−0.999827	−	0.0185761i	$-0.994087\pi$
$509$	−2.81254	+	10.4965i	−0.124663	+	0.465250i	0.875164	+	0.483826i	$0.160753\pi$
$510$	6.62294	+	3.82375i	0.293269	+	0.169319i
$511$	23.3581	−	6.46663i	1.03330	−	0.286067i
$512$	−15.7822	+	15.7822i	−0.697483	+	0.697483i
$513$	−12.4012	+	12.4012i	−0.547525	+	0.547525i
$514$	−0.933842	−	3.48515i	−0.0411900	−	0.153723i
$515$	−9.59673	+	35.8155i	−0.422883	+	1.57822i
$516$			16.9327i			0.745422i
$517$	−0.400874	+	0.694333i	−0.0176304	+	0.0305367i
$518$	0.0222394	+	2.68469i	0.000977144	+	0.117959i
$519$		−	1.15556i		−	0.0507233i
$520$	16.5329	−	10.7438i	0.725017	−	0.471149i
$521$	−28.6041	+	16.5146i	−1.25317	+	0.723518i	−0.971738	−	0.236064i	$-0.924143\pi$
$521$	−28.6041	+	16.5146i	−1.25317	+	0.723518i	−0.281432	+	0.959581i	$0.590809\pi$
$522$	0.827109	−	0.827109i	0.0362016	−	0.0362016i
$523$	−13.5411	+	7.81797i	−0.592112	+	0.341856i	−0.765932	−	0.642922i	$-0.777722\pi$
$523$	−13.5411	+	7.81797i	−0.592112	+	0.341856i	0.173820	+	0.984777i	$0.444389\pi$
$524$	−2.52085	−	4.36624i	−0.110124	−	0.190740i
$525$	18.4223	+	10.4336i	0.804016	+	0.455360i
$526$	5.08247	+	1.36184i	0.221606	+	0.0593792i
$527$	−8.37333	−	8.37333i	−0.364748	−	0.364748i
$528$	0.243266	+	0.0651828i	0.0105868	+	0.00283672i
$529$	−11.4004	+	19.7460i	−0.495668	+	0.858523i
$530$	−8.91372	−	15.4390i	−0.387187	−	0.670628i
$531$	−4.00465	−	14.9455i	−0.173787	−	0.648581i
$532$	−12.9811	−	12.7678i	−0.562804	−	0.553556i
$533$	2.32692	−	10.9639i	0.100790	−	0.474899i
$534$	0.295760	−	0.512272i	0.0127988	−	0.0221682i
$535$	0.157007	+	0.157007i	0.00678802	+	0.00678802i
$536$	14.6857			0.634325
$537$	1.54632			0.0667285
$538$	6.38313	+	6.38313i	0.275196	+	0.275196i
$539$	0.589604	−	0.168501i	0.0253961	−	0.00725785i
$540$	−8.40138	+	31.3544i	−0.361538	+	1.34928i
$541$	−11.8945	+	3.18712i	−0.511384	+	0.137025i	−0.505278	−	0.862956i	$-0.668610\pi$
$541$	−11.8945	+	3.18712i	−0.511384	+	0.137025i	−0.00610564	+	0.999981i	$0.501943\pi$
$542$	−3.01327	−	1.73971i	−0.129431	−	0.0747271i
$543$		−	7.60089i		−	0.326185i
$544$	−23.6274	−	6.33094i	−1.01302	−	0.271437i
$545$	60.9789			2.61205
$546$	−3.27320	−	0.666402i	−0.140080	−	0.0285194i
$547$	3.99754			0.170922			0.0854611	−	0.996342i	$-0.472764\pi$
$547$	3.99754			0.170922			0.0854611	+	0.996342i	$0.472764\pi$
$548$	−7.71234	−	2.06652i	−0.329455	−	0.0882772i
$549$			0.276207i			0.0117882i
$550$	0.253986	+	0.146639i	0.0108300	+	0.00625271i
$551$	−5.06711	+	1.35773i	−0.215866	+	0.0578412i
$552$	0.155891	−	0.581794i	0.00663517	−	0.0247628i
$553$	0.0770325	+	9.29919i	0.00327576	+	0.395442i
$554$	3.42711	+	3.42711i	0.145604	+	0.145604i
$555$	−8.99291			−0.381728
$556$	−25.9505			−1.10055
$557$	−9.05467	−	9.05467i	−0.383659	−	0.383659i	0.488760	−	0.872418i	$-0.337449\pi$
$557$	−9.05467	−	9.05467i	−0.383659	−	0.383659i	−0.872418	+	0.488760i	$0.837449\pi$
$558$	−0.832177	+	1.44137i	−0.0352288	+	0.0610181i
$559$	1.89536	+	35.9541i	0.0801653	+	1.52070i
$560$	−29.8410	−	7.73152i	−1.26101	−	0.326717i
$561$	0.122182	+	0.455991i	0.00515855	+	0.0192520i
$562$	−6.38443	−	11.0581i	−0.269311	−	0.466460i
$563$	−5.02369	+	8.70129i	−0.211723	+	0.366716i	−0.952254	−	0.305307i	$-0.901241\pi$
$563$	−5.02369	+	8.70129i	−0.211723	+	0.366716i	0.740531	+	0.672023i	$0.234574\pi$
$564$	−14.9906	−	4.01671i	−0.631217	−	0.169134i
$565$	14.4023	+	14.4023i	0.605911	+	0.605911i
$566$	−8.44371	−	2.26249i	−0.354916	−	0.0950993i
$567$	−4.94311	+	2.90876i	−0.207591	+	0.122157i
$568$	7.50713	+	13.0027i	0.314992	+	0.545583i
$569$	5.10535	−	2.94758i	0.214027	−	0.123569i	−0.389154	−	0.921173i	$-0.627233\pi$
$569$	5.10535	−	2.94758i	0.214027	−	0.123569i	0.603182	+	0.797604i	$0.293899\pi$
$570$	−3.40860	+	3.40860i	−0.142771	+	0.142771i
$571$	−0.761139	+	0.439444i	−0.0318527	+	0.0183901i	−0.515842	−	0.856684i	$-0.672521\pi$
$571$	−0.761139	+	0.439444i	−0.0318527	+	0.0183901i	0.483989	+	0.875074i	$0.339187\pi$
$572$	0.572675	+	0.121542i	0.0239447	+	0.00508191i
$573$		−	18.8718i		−	0.788380i
$574$	2.71306	−	1.59649i	0.113241	−	0.0666364i
$575$	−1.95218	+	3.38128i	−0.0814117	+	0.141009i
$576$		−	10.1565i		−	0.423189i
$577$	−0.0403629	+	0.150636i	−0.00168033	+	0.00627107i	−0.966761	−	0.255682i	$-0.917700\pi$
$577$	−0.0403629	+	0.150636i	−0.00168033	+	0.00627107i	0.965081	+	0.261953i	$0.0843666\pi$
$578$	−1.75314	−	6.54280i	−0.0729209	−	0.272144i
$579$	−8.67316	+	8.67316i	−0.360444	+	0.360444i
$580$	−6.86560	+	6.86560i	−0.285079	+	0.285079i
$581$	−7.89536	−	2.04561i	−0.327555	−	0.0848662i
$582$	−0.529716	−	0.305832i	−0.0219574	−	0.0126771i
$583$	0.284825	−	1.06298i	0.0117962	−	0.0440242i
$584$	6.75564	+	11.7011i	0.279550	+	0.484195i
$585$	−6.00324	+	28.2858i	−0.248204	+	1.16947i
$586$	−3.97256	−	2.29356i	−0.164105	−	0.0947460i
$587$	38.7558	−	10.3846i	1.59962	−	0.428617i	0.654693	−	0.755895i	$-0.272798\pi$
$587$	38.7558	−	10.3846i	1.59962	−	0.428617i	0.944928	+	0.327278i	$0.106131\pi$
$588$	6.10442	+	10.1799i	0.251742	+	0.419811i
$589$	6.46420	−	3.73211i	0.266353	−	0.153779i
$590$	−2.62736	−	9.80544i	−0.108167	−	0.403684i
$591$	14.6144	−	3.91591i	0.601155	−	0.161079i
$592$	8.04746	−	2.15631i	0.330749	−	0.0886238i
$593$	−0.627863	−	2.34322i	−0.0257833	−	0.0962244i	0.951835	−	0.306610i	$-0.0991947\pi$
$593$	−0.627863	−	2.34322i	−0.0257833	−	0.0962244i	−0.977618	+	0.210386i	$0.932528\pi$
$594$	0.137157	−	0.0791875i	0.00562761	−	0.00324910i
$595$	−15.4171	−	55.6880i	−0.632039	−	2.28298i
$596$	16.4181	−	4.39921i	0.672510	−	0.180199i
$597$	−10.2698	−	5.92928i	−0.420316	−	0.242669i
$598$	0.127890	−	0.602586i	0.00522981	−	0.0246416i
$599$	5.34796	+	9.26293i	0.218512	+	0.378473i	0.954353	−	0.298681i	$-0.0965465\pi$
$599$	5.34796	+	9.26293i	0.218512	+	0.378473i	−0.735842	+	0.677154i	$0.763213\pi$
$600$	−3.05475	+	11.4005i	−0.124710	+	0.465422i
$601$	30.2246	+	17.4502i	1.23289	+	0.711807i	0.967630	−	0.252371i	$-0.0812104\pi$
$601$	30.2246	+	17.4502i	1.23289	+	0.711807i	0.265255	+	0.964178i	$0.414544\pi$
$602$	−7.09091	+	7.20937i	−0.289004	+	0.293832i
$603$	−15.2290	+	15.2290i	−0.620171	+	0.620171i
$604$	−9.94796	+	9.94796i	−0.404777	+	0.404777i
$605$	−10.5484	−	39.3673i	−0.428854	−	1.60051i
$606$	−0.618308	+	2.30756i	−0.0251171	+	0.0937381i
$607$		−	14.7671i		−	0.599379i	−0.954037	−	0.299690i	$-0.903117\pi$
$607$		−	14.7671i		−	0.599379i	0.954037	−	0.299690i	$-0.0968831\pi$
$608$	7.70927	−	13.3528i	0.312652	−	0.541529i
$609$	3.41970	−	0.0283281i	0.138573	−	0.00114791i
$610$			0.181214i			0.00733712i
$611$	−32.2798	−	6.85091i	−1.30590	−	0.277158i
$612$	20.4519	−	11.8079i	0.826718	−	0.477306i
$613$	−9.65922	+	9.65922i	−0.390132	+	0.390132i	−0.874734	−	0.484602i	$-0.838964\pi$
$613$	−9.65922	+	9.65922i	−0.390132	+	0.390132i	0.484602	+	0.874734i	$0.338964\pi$
$614$	8.89925	−	5.13798i	0.359145	−	0.207352i
$615$	5.27214	+	9.13161i	0.212593	+	0.368222i
$616$	0.173370	+	0.294622i	0.00698527	+	0.0118707i
$617$	−14.8331	−	3.97453i	−0.597160	−	0.160008i	−0.0524363	−	0.998624i	$-0.516699\pi$
$617$	−14.8331	−	3.97453i	−0.597160	−	0.160008i	−0.544723	+	0.838616i	$0.683365\pi$
$618$	2.47618	+	2.47618i	0.0996065	+	0.0996065i
$619$	4.55397	+	1.22023i	0.183039	+	0.0490453i	0.349174	−	0.937058i	$-0.386462\pi$
$619$	4.55397	+	1.22023i	0.183039	+	0.0490453i	−0.166135	+	0.986103i	$0.553129\pi$
$620$	6.90766	−	11.9644i	0.277418	−	0.480503i
$621$	1.05421	+	1.82595i	0.0423041	+	0.0732728i
$622$	2.95191	+	11.0167i	0.118361	+	0.441728i
$623$	−4.30736	+	1.19248i	−0.172571	+	0.0477758i
$624$	0.545682	+	10.3513i	0.0218448	+	0.414384i
$625$	3.88665	−	6.73187i	0.155466	−	0.269275i
$626$	4.42576	+	4.42576i	0.176889	+	0.176889i
$627$	−0.297566			−0.0118837
$628$	0.937469			0.0374091
$629$	11.0427	+	11.0427i	0.440302	+	0.440302i
$630$	−6.99944	+	4.11881i	−0.278864	+	0.164097i
$631$	−4.57205	+	17.0631i	−0.182011	+	0.679273i	0.813240	+	0.581928i	$0.197702\pi$
$631$	−4.57205	+	17.0631i	−0.182011	+	0.679273i	−0.995251	+	0.0973445i	$0.968965\pi$
$632$	−5.00757	+	1.34177i	−0.199190	+	0.0533729i
$633$	5.05565	+	2.91888i	0.200944	+	0.116015i
$634$			6.53665i			0.259603i
$635$	60.9576	+	16.3336i	2.41903	+	0.648177i
$636$	21.3019			0.844676
$637$	14.1013	+	20.9321i	0.558713	+	0.829361i
$638$	0.0473725			0.00187549
$639$	−21.2686	−	5.69890i	−0.841372	−	0.225445i
$640$		−	37.4568i		−	1.48061i
$641$	−32.2289	−	18.6074i	−1.27297	−	0.734948i	−0.297421	−	0.954746i	$-0.596127\pi$
$641$	−32.2289	−	18.6074i	−1.27297	−	0.734948i	−0.975545	+	0.219799i	$0.929460\pi$
$642$	0.0202557	−	0.00542751i	0.000799431	−	0.000214207i
$643$	−2.17224	+	8.10691i	−0.0856648	+	0.319705i	−0.995439	−	0.0953976i	$-0.969588\pi$
$643$	−2.17224	+	8.10691i	−0.0856648	+	0.319705i	0.909774	+	0.415103i	$0.136254\pi$
$644$	−1.88657	+	1.11015i	−0.0743415	+	0.0437461i
$645$	−23.9508	−	23.9508i	−0.943064	−	0.943064i
$646$	8.37108			0.329356
$647$	25.8444			1.01605			0.508024	−	0.861343i	$-0.330376\pi$
$647$	25.8444			1.01605			0.508024	+	0.861343i	$0.330376\pi$
$648$	−2.26086	−	2.26086i	−0.0888151	−	0.0888151i
$649$	0.313319	−	0.542684i	0.0122988	−	0.0213022i
$650$	−2.50605	+	11.8079i	−0.0982955	+	0.463144i
$651$	−4.68958	+	1.29830i	−0.183799	+	0.0508844i
$652$	−2.13048	−	7.95107i	−0.0834362	−	0.311388i
$653$	−16.0054	−	27.7222i	−0.626341	−	1.08486i	−0.988280	−	0.152653i	$-0.951218\pi$
$653$	−16.0054	−	27.7222i	−0.626341	−	1.08486i	0.361938	−	0.932202i	$-0.382115\pi$
$654$	2.87951	−	4.98746i	0.112598	−	0.195025i
$655$	9.74159	+	2.61025i	0.380636	+	0.101991i
$656$	−6.90743	−	6.90743i	−0.269690	−	0.269690i
$657$	−19.1395	−	5.12842i	−0.746703	−	0.200079i
$658$	−4.70039	−	7.98777i	−0.183240	−	0.311396i
$659$	1.93932	+	3.35900i	0.0755452	+	0.130848i	0.901323	−	0.433147i	$-0.142597\pi$
$659$	1.93932	+	3.35900i	0.0755452	+	0.130848i	−0.825778	+	0.563995i	$0.809264\pi$
$660$	−0.476970	+	0.275379i	−0.0185660	+	0.0107191i
$661$	−6.57103	+	6.57103i	−0.255583	+	0.255583i	−0.823255	−	0.567672i	$-0.807844\pi$
$661$	−6.57103	+	6.57103i	−0.255583	+	0.255583i	0.567672	+	0.823255i	$0.307844\pi$
$662$	7.21829	−	4.16748i	0.280547	−	0.161974i
$663$	−16.2921	+	10.5874i	−0.632734	+	0.411179i
$664$		−	4.54677i		−	0.176449i
$665$	36.4212	−	0.301705i	1.41235	−	0.0116996i
$666$	1.09747	−	1.90087i	0.0425261	−	0.0736574i
$667$			0.630663i			0.0244194i
$668$	3.85027	−	14.3694i	0.148972	−	0.555969i
$669$	3.03042	+	11.3097i	0.117163	+	0.437258i
$670$	−9.99138	+	9.99138i	−0.386001	+	0.386001i
$671$	−0.00790985	+	0.00790985i	−0.000305356	+	0.000305356i
$672$	−7.04834	+	7.16608i	−0.271895	+	0.276438i
$673$	24.3896	+	14.0814i	0.940151	+	0.542797i	0.890008	−	0.455945i	$-0.150699\pi$
$673$	24.3896	+	14.0814i	0.940151	+	0.542797i	0.0501436	+	0.998742i	$0.484032\pi$
$674$	2.24434	−	8.37600i	0.0864488	−	0.322631i
$675$	−20.6577	−	35.7802i	−0.795115	−	1.37718i
$676$	2.53341	+	23.9620i	0.0974388	+	0.921614i
$677$	−24.5782	−	14.1902i	−0.944617	−	0.545375i	−0.0532122	−	0.998583i	$-0.516946\pi$
$677$	−24.5782	−	14.1902i	−0.944617	−	0.545375i	−0.891405	+	0.453209i	$0.850279\pi$
$678$	1.85807	−	0.497868i	0.0713586	−	0.0191205i
$679$	1.23309	+	4.45404i	0.0473217	+	0.170930i
$680$	27.8966	−	16.1061i	1.06979	−	0.617641i
$681$	2.80771	+	10.4785i	0.107592	+	0.401537i
$682$	−0.0651085	+	0.0174458i	−0.00249313	+	0.000668033i
$683$	−23.6020	+	6.32413i	−0.903104	+	0.241986i	−0.680349	−	0.732888i	$-0.738172\pi$
$683$	−23.6020	+	6.32413i	−0.903104	+	0.241986i	−0.222755	+	0.974874i	$0.571505\pi$
$684$	3.85274	+	14.3786i	0.147313	+	0.549780i
$685$	13.8319	−	7.98586i	0.528490	−	0.305124i
$686$	−1.66397	+	6.89058i	−0.0635308	+	0.263084i
$687$	13.9603	−	3.74064i	0.532617	−	0.142714i
$688$	27.1757	+	15.6899i	1.03606	+	0.598172i
$689$	45.2314	−	2.38443i	1.72318	−	0.0908395i
$690$	0.289762	+	0.501883i	0.0110311	+	0.0191063i
$691$	8.39671	−	31.3370i	0.319426	−	1.19211i	−0.600372	−	0.799721i	$-0.704981\pi$
$691$	8.39671	−	31.3370i	0.319426	−	1.19211i	0.919798	−	0.392393i	$-0.128353\pi$
$692$	−2.02749	−	1.17057i	−0.0770738	−	0.0444986i
$693$	−0.485304	−	0.125738i	−0.0184352	−	0.00477638i
$694$	−3.21279	+	3.21279i	−0.121956	+	0.121956i
$695$	36.7062	−	36.7062i	1.39235	−	1.39235i
$696$	0.493426	+	1.84149i	0.0187033	+	0.0698015i
$697$	4.73918	−	17.6869i	0.179509	−	0.669937i
$698$			7.96018i			0.301297i
$699$	−6.13037	+	10.6181i	−0.231872	+	0.401614i
$700$	36.9682	−	21.7539i	1.39727	−	0.822219i
$701$			49.4461i			1.86755i	0.357856	+	0.933777i	$0.383508\pi$
$701$			49.4461i			1.86755i	−0.357856	+	0.933777i	$0.616492\pi$
$702$	4.84553	+	4.36024i	0.182883	+	0.164567i
$703$	−8.52496	+	4.92189i	−0.321525	+	0.185632i
$704$	0.290857	−	0.290857i	0.0109621	−	0.0109621i
$705$	26.8852	−	15.5222i	1.01256	−	0.584600i
$706$	−5.34960	−	9.26578i	−0.201335	−	0.348722i
$707$	15.5568	−	9.15437i	0.585074	−	0.344286i
$708$	11.7165	+	3.13942i	0.440332	+	0.117987i
$709$	−12.5987	−	12.5987i	−0.473154	−	0.473154i	0.429780	−	0.902934i	$-0.358591\pi$
$709$	−12.5987	−	12.5987i	−0.473154	−	0.473154i	−0.902934	+	0.429780i	$0.858591\pi$
$710$	−13.9539	−	3.73892i	−0.523679	−	0.140319i
$711$	3.80140	−	6.58422i	0.142564	−	0.246927i
$712$	−1.24578	−	2.15775i	−0.0466875	−	0.0808651i
$713$	−0.232253	−	0.866779i	−0.00869794	−	0.0324611i
$714$	−5.28274	−	1.36871i	−0.197701	−	0.0512225i
$715$	−0.981949	+	0.638115i	−0.0367228	+	0.0238641i
$716$	1.56641	−	2.71311i	0.0585396	−	0.101394i
$717$	13.2221	+	13.2221i	0.493789	+	0.493789i
$718$	−6.00564			−0.224129
$719$	−27.8337			−1.03802			−0.519011	−	0.854768i	$-0.673700\pi$
$719$	−27.8337			−1.03802			−0.519011	+	0.854768i	$0.673700\pi$
$720$	17.8205	+	17.8205i	0.664132	+	0.664132i
$721$	−0.219174	−	26.4582i	−0.00816246	−	0.985353i
$722$	0.516523	−	1.92769i	0.0192230	−	0.0717412i
$723$	−0.902062	+	0.241707i	−0.0335480	+	0.00898917i
$724$	−13.3362	−	7.69968i	−0.495637	−	0.286156i
$725$		−	12.3581i		−	0.458968i
$726$	−3.71796	−	0.996224i	−0.137986	−	0.0369734i
$727$	−47.3797			−1.75722			−0.878608	−	0.477544i	$-0.841527\pi$
$727$	−47.3797			−1.75722			−0.878608	+	0.477544i	$0.841527\pi$
$728$	−9.32446	+	10.5365i	−0.345587	+	0.390509i
$729$	−8.27491			−0.306478
$730$	−12.5570	−	3.36464i	−0.464756	−	0.124531i
$731$			58.8201i			2.17554i
$732$	−0.187521	−	0.108266i	−0.00693099	−	0.00400161i
$733$	28.9167	−	7.74821i	1.06806	−	0.286187i	0.318366	−	0.947968i	$-0.396866\pi$
$733$	28.9167	−	7.74821i	1.06806	−	0.286187i	0.749697	+	0.661781i	$0.230199\pi$
$734$	0.474726	−	1.77170i	0.0175225	−	0.0653947i
$735$	−23.0336	−	5.76462i	−0.849609	−	0.212631i
$736$	−1.31072	−	1.31072i	−0.0483136	−	0.0483136i
$737$	−0.872234			−0.0321292
$738$	−2.57359			−0.0947351
$739$	8.96526	+	8.96526i	0.329792	+	0.329792i	0.852507	−	0.522715i	$-0.175081\pi$
$739$	8.96526	+	8.96526i	0.329792	+	0.329792i	−0.522715	+	0.852507i	$0.675081\pi$
$740$	−9.10979	+	15.7786i	−0.334883	+	0.580034i
$741$	−3.78824	−	11.6468i	−0.139165	−	0.427857i
$742$	9.06962	+	8.92060i	0.332956	+	0.327485i
$743$	−5.17566	−	19.3158i	−0.189877	−	0.708629i	−0.993534	−	0.113537i	$-0.963782\pi$
$743$	−5.17566	−	19.3158i	−0.189877	−	0.708629i	0.803657	−	0.595093i	$-0.202885\pi$
$744$	−1.35632	−	2.34922i	−0.0497252	−	0.0861266i
$745$	−17.0003	+	29.4454i	−0.622843	+	1.07880i
$746$	0.696448	+	0.186613i	0.0254988	+	0.00683238i
$747$	4.71497	+	4.71497i	0.172512	+	0.172512i
$748$	0.923835	+	0.247541i	0.0337788	+	0.00905099i
$749$	−0.137870	−	0.0780838i	−0.00503766	−	0.00285312i
$750$	−2.43227	−	4.21281i	−0.0888138	−	0.153830i
$751$	−27.6527	+	15.9653i	−1.00906	+	0.582582i	−0.910917	−	0.412590i	$-0.864624\pi$
$751$	−27.6527	+	15.9653i	−1.00906	+	0.582582i	−0.0981449	+	0.995172i	$0.531291\pi$
$752$	−20.3368	+	20.3368i	−0.741607	+	0.741607i
$753$	8.86527	−	5.11837i	0.323068	−	0.186524i
$754$	0.603087	+	1.85417i	0.0219631	+	0.0675249i
$755$		−	28.1422i		−	1.02420i
$756$	−0.191874	−	23.1626i	−0.00697839	−	0.842414i
$757$	0.983838	−	1.70406i	0.0357582	−	0.0619350i	−0.847592	−	0.530648i	$-0.821949\pi$
$757$	0.983838	−	1.70406i	0.0357582	−	0.0619350i	0.883351	+	0.468713i	$0.155282\pi$
$758$		−	0.545116i		−	0.0197995i
$759$	−0.00925892	+	0.0345548i	−0.000336077	+	0.00125426i
$760$	5.25518	+	19.6126i	0.190626	+	0.711424i
$761$	−4.91715	+	4.91715i	−0.178246	+	0.178246i	−0.790591	−	0.612345i	$-0.790227\pi$
$761$	−4.91715	+	4.91715i	−0.178246	+	0.178246i	0.612345	+	0.790591i	$0.290227\pi$
$762$	4.21443	−	4.21443i	0.152673	−	0.152673i
$763$	−41.9363	+	11.6100i	−1.51820	+	0.420309i
$764$	−33.1117	−	19.1171i	−1.19794	−	0.691631i
$765$	−12.2266	+	45.6305i	−0.442055	+	1.64977i
$766$	2.09428	+	3.62739i	0.0756693	+	0.131063i
$767$	25.2296	+	5.35460i	0.910987	+	0.193343i
$768$	4.37684	+	2.52697i	0.157936	+	0.0911843i
$769$	−2.45316	+	0.657322i	−0.0884631	+	0.0237036i	−0.302779	−	0.953061i	$-0.597914\pi$
$769$	−2.45316	+	0.657322i	−0.0884631	+	0.0237036i	0.214316	+	0.976764i	$0.431248\pi$
$770$	−0.318398	−	0.0824937i	−0.0114743	−	0.00297287i
$771$	−7.46873	+	4.31207i	−0.268980	+	0.155295i
$772$	6.43171	+	24.0035i	0.231482	+	0.863904i
$773$	−8.31412	+	2.22776i	−0.299038	+	0.0801270i	−0.405218	−	0.914220i	$-0.632805\pi$
$773$	−8.31412	+	2.22776i	−0.299038	+	0.0801270i	0.106180	+	0.994347i	$0.466138\pi$
$774$	7.98550	−	2.13971i	0.287033	−	0.0769102i
$775$	4.55109	+	16.9849i	0.163480	+	0.610115i
$776$	−2.23123	+	1.28820i	−0.0800964	+	0.0462437i
$777$	6.18460	−	1.71219i	0.221871	−	0.0614245i
$778$	−10.2450	+	2.74514i	−0.367302	+	0.0984181i
$779$	9.99560	+	5.77096i	0.358129	+	0.206766i
$780$	−16.8506	−	15.1630i	−0.603348	−	0.542921i
$781$	−0.445875	−	0.772278i	−0.0159547	−	0.0276343i
$782$	0.260470	−	0.972088i	0.00931439	−	0.0347618i
$783$	−5.77948	−	3.33679i	−0.206542	−	0.119247i
$784$	21.9943	−	0.364417i	0.785510	−	0.0130149i
$785$	−1.32602	+	1.32602i	−0.0473277	+	0.0473277i
$786$	0.673505	−	0.673505i	0.0240231	−	0.0240231i
$787$	−1.57098	−	5.86298i	−0.0559994	−	0.208993i	0.932257	−	0.361796i	$-0.117836\pi$
$787$	−1.57098	−	5.86298i	−0.0559994	−	0.208993i	−0.988257	+	0.152804i	$0.951170\pi$
$788$	7.93361	−	29.6086i	0.282623	−	1.05476i
$789$		−	12.5768i		−	0.447745i
$790$	2.49402	−	4.31976i	0.0887331	−	0.153690i
$791$	−12.6469	−	7.16266i	−0.449671	−	0.254675i
$792$		−	0.279477i		−	0.00993077i
$793$	−0.410292	−	0.208895i	−0.0145699	−	0.00741809i
$794$	4.16660	−	2.40559i	0.147867	−	0.0853710i
$795$	−30.1309	+	30.1309i	−1.06863	+	1.06863i
$796$	−20.8066	+	12.0127i	−0.737470	+	0.425779i
$797$	−0.799767	−	1.38524i	−0.0283292	−	0.0490676i	0.851513	−	0.524333i	$-0.175685\pi$
$797$	−0.799767	−	1.38524i	−0.0283292	−	0.0490676i	−0.879842	+	0.475266i	$0.842352\pi$
$798$	1.69518	−	2.99313i	0.0600089	−	0.105956i
$799$	−52.0736	−	13.9531i	−1.84223	−	0.493624i
$800$	25.6840	+	25.6840i	0.908066	+	0.908066i
$801$	3.52943	+	0.945709i	0.124706	+	0.0334150i
$802$	−4.73396	+	8.19945i	−0.167162	+	0.289533i
$803$	−0.401241	−	0.694970i	−0.0141595	−	0.0245249i
$804$	−4.36985	−	16.3085i	−0.154113	−	0.575157i
$805$	1.09823	−	4.23878i	0.0387074	−	0.149397i
$806$	−1.51171	−	2.32626i	−0.0532478	−	0.0819392i
$807$	10.7884	−	18.6861i	0.379770	−	0.657781i
$808$	7.11532	+	7.11532i	0.250316	+	0.250316i
$809$	42.6036			1.49786			0.748932	−	0.662647i	$-0.230567\pi$
$809$	42.6036			1.49786			0.748932	+	0.662647i	$0.230567\pi$
$810$	3.07635			0.108092
$811$	−36.5518	−	36.5518i	−1.28351	−	1.28351i	−0.938658	−	0.344850i	$-0.887930\pi$
$811$	−36.5518	−	36.5518i	−1.28351	−	1.28351i	−0.344850	−	0.938658i	$-0.612070\pi$
$812$	3.41444	−	6.02877i	0.119823	−	0.211568i
$813$	−2.15250	+	8.03323i	−0.0754914	+	0.281738i
$814$	0.0858647	−	0.0230074i	0.00300956	−	0.000806408i
$815$	14.2601	+	8.23305i	0.499508	+	0.288391i
$816$			16.9345i			0.592827i
$817$	−35.8130	−	9.59607i	−1.25294	−	0.335724i
$818$	4.35897			0.152408
$819$	−1.25689	−	20.5957i	−0.0439191	−	0.719671i
$820$	21.3626			0.746016
$821$	19.9506	+	5.34576i	0.696282	+	0.186568i	0.589565	−	0.807721i	$-0.299299\pi$
$821$	19.9506	+	5.34576i	0.696282	+	0.186568i	0.106717	+	0.994289i	$0.465966\pi$
$822$		−	1.50842i		−	0.0526120i
$823$	−45.0294	−	25.9977i	−1.56963	−	0.906224i	−0.996212	−	0.0869576i	$-0.972286\pi$
$823$	−45.0294	−	25.9977i	−1.56963	−	0.906224i	−0.573413	−	0.819266i	$-0.694381\pi$
$824$	14.2476	−	3.81763i	0.496338	−	0.132993i
$825$	0.181432	−	0.677114i	0.00631666	−	0.0235741i
$826$	3.67378	+	6.24316i	0.127827	+	0.217227i
$827$	30.9176	+	30.9176i	1.07511	+	1.07511i	0.996940	+	0.0781709i	$0.0249080\pi$
$827$	30.9176	+	30.9176i	1.07511	+	1.07511i	0.0781709	+	0.996940i	$0.475092\pi$
$828$	1.78959			0.0621926
$829$	45.1436			1.56790			0.783951	−	0.620823i	$-0.213201\pi$
$829$	45.1436			1.56790			0.783951	+	0.620823i	$0.213201\pi$
$830$	3.09339	+	3.09339i	0.107373	+	0.107373i
$831$	5.79231	−	10.0326i	0.200933	−	0.348026i
$832$	15.0870	+	7.68138i	0.523048	+	0.266304i
$833$	21.2052	+	35.3624i	0.734718	+	1.22523i
$834$	−1.26888	−	4.73552i	−0.0439377	−	0.163978i
$835$	14.8790	+	25.7712i	0.514910	+	0.891850i
$836$	−0.301434	+	0.522098i	−0.0104253	+	0.0180572i
$837$	9.17212	+	2.45766i	0.317035	+	0.0849492i
$838$	−7.88267	−	7.88267i	−0.272302	−	0.272302i
$839$	29.8547	+	7.99955i	1.03070	+	0.276175i	0.734254	−	0.678875i	$-0.237532\pi$
$839$	29.8547	+	7.99955i	1.03070	+	0.276175i	0.296445	+	0.955050i	$0.404199\pi$
$840$	−0.109646	−	13.2362i	−0.00378314	−	0.456692i
$841$	13.5019	+	23.3860i	0.465583	+	0.806414i
$842$	11.6926	−	6.75074i	0.402955	−	0.232646i
$843$	−21.5812	+	21.5812i	−0.743295	+	0.743295i
$844$	10.2427	−	5.91363i	0.352569	−	0.203556i
$845$	−37.4769	−	30.3101i	−1.28925	−	1.04270i
$846$			7.57715i			0.260508i
$847$	14.7496	+	25.0653i	0.506803	+	0.861253i
$848$	19.7384	−	34.1879i	0.677820	−	1.17402i
$849$			20.8943i			0.717091i
$850$	−5.10401	+	19.0484i	−0.175066	+	0.653356i
$851$	0.306294	+	1.14310i	0.0104996	+	0.0391851i
$852$	12.2058	−	12.2058i	0.418163	−	0.418163i
$853$	−22.8132	+	22.8132i	−0.781108	+	0.781108i	−0.980018	−	0.198910i	$-0.936260\pi$
$853$	−22.8132	+	22.8132i	−0.781108	+	0.781108i	0.198910	+	0.980018i	$0.436260\pi$
$854$	−0.0345018	−	0.124624i	−0.00118063	−	0.00426455i
$855$	−25.7877	−	14.8885i	−0.881922	−	0.509178i
$856$	0.0228613	−	0.0853196i	0.000781384	−	0.00291616i
$857$	−12.8148	−	22.1959i	−0.437745	−	0.758196i	0.559771	−	0.828648i	$-0.310889\pi$
$857$	−12.8148	−	22.1959i	−0.437745	−	0.758196i	−0.997515	+	0.0704518i	$0.977556\pi$
$858$	0.00582231	+	0.110446i	0.000198770	+	0.00377057i
$859$	5.71477	+	3.29942i	0.194985	+	0.112575i	0.594314	−	0.804233i	$-0.297424\pi$
$859$	5.71477	+	3.29942i	0.194985	+	0.112575i	−0.399329	+	0.916808i	$0.630757\pi$
$860$	−66.2854	+	17.7611i	−2.26031	+	0.605649i
$861$	−5.36435	−	5.27620i	−0.182816	−	0.179813i
$862$	−1.08325	+	0.625415i	−0.0368956	+	0.0213017i
$863$	−11.5169	−	42.9816i	−0.392039	−	1.46311i	−0.826765	−	0.562548i	$-0.809821\pi$
$863$	−11.5169	−	42.9816i	−0.392039	−	1.46311i	0.434725	−	0.900563i	$-0.356846\pi$
$864$	18.9465	−	5.07669i	0.644572	−	0.172713i
$865$	4.52357	−	1.21209i	0.153806	−	0.0412122i
$866$	1.94736	+	7.26766i	0.0661741	+	0.246965i
$867$	−14.0213	+	8.09521i	−0.476189	+	0.274928i
$868$	−2.47259	+	9.54334i	−0.0839250	+	0.323922i
$869$	0.297417	−	0.0796926i	0.0100892	−	0.00270339i
$870$	−1.58856	−	0.917153i	−0.0538571	−	0.0310944i
$871$	−11.1042	−	34.1395i	−0.376252	−	1.15677i
$872$	−12.1288	−	21.0078i	−0.410735	−	0.711413i
$873$	0.977913	−	3.64962i	0.0330973	−	0.123521i
$874$	0.549368	+	0.317178i	0.0185827	+	0.0107287i
$875$	−9.21853	+	35.5804i	−0.311643	+	1.20284i
$876$	10.9839	−	10.9839i	0.371112	−	0.371112i
$877$	−37.2651	+	37.2651i	−1.25835	+	1.25835i	−0.306473	+	0.951879i	$0.599149\pi$
$877$	−37.2651	+	37.2651i	−1.25835	+	1.25835i	−0.951879	+	0.306473i	$0.900851\pi$
$878$	−3.74533	−	13.9778i	−0.126399	−	0.471727i
$879$	−2.83775	+	10.5906i	−0.0957150	+	0.357213i
$880$			1.02067i			0.0344067i
$881$	−14.4790	+	25.0784i	−0.487811	+	0.844914i	−0.999902	−	0.0140175i	$-0.995538\pi$
$881$	−14.4790	+	25.0784i	−0.487811	+	0.844914i	0.512090	+	0.858932i	$0.328871\pi$
$882$	4.02946	−	4.16523i	0.135679	−	0.140251i
$883$		−	56.4022i		−	1.89808i	−0.315149	−	0.949042i	$-0.602054\pi$
$883$		−	56.4022i		−	1.89808i	0.315149	−	0.949042i	$-0.397946\pi$
$884$	2.07230	+	39.3105i	0.0696991	+	1.32216i
$885$	−21.0132	+	12.1320i	−0.706352	+	0.407812i
$886$	1.25376	−	1.25376i	0.0421208	−	0.0421208i
$887$	−38.1935	+	22.0510i	−1.28241	+	0.740402i	−0.977289	−	0.211911i	$-0.932031\pi$
$887$	−38.1935	+	22.0510i	−1.28241	+	0.740402i	−0.305124	+	0.952313i	$0.598698\pi$
$888$	1.78871	+	3.09814i	0.0600253	+	0.103967i
$889$	−45.0315	+	0.373032i	−1.51031	+	0.0125111i
$890$	2.31558	+	0.620459i	0.0776186	+	0.0207978i
$891$	0.134281	+	0.134281i	0.00449857	+	0.00449857i
$892$	22.9134	+	6.13962i	0.767196	+	0.205570i
$893$	16.9908	−	29.4290i	0.568577	−	0.984803i
$894$	1.60556	+	2.78091i	0.0536980	+	0.0930076i
$895$	1.62196	+	6.05325i	0.0542163	+	0.202338i
$896$	7.13153	+	25.7598i	0.238248	+	0.860574i
$897$	−1.47036	+	0.0775116i	−0.0490937	+	0.00258804i
$898$	−2.54328	+	4.40510i	−0.0848705	+	0.147000i
$899$	2.00840	+	2.00840i	0.0669839	+	0.0669839i
$900$	−35.0677			−1.16892
$901$	73.9976			2.46522
$902$	−0.0737008	−	0.0737008i	−0.00245397	−	0.00245397i
$903$	21.0315	+	11.9114i	0.699886	+	0.396386i
$904$	2.09708	−	7.82640i	0.0697478	−	0.260302i
$905$	29.7547	−	7.97274i	0.989079	−	0.265023i
$906$	−2.30175	−	1.32891i	−0.0764705	−	0.0441502i
$907$			9.89055i			0.328410i	0.986426	+	0.164205i	$0.0525059\pi$
$907$			9.89055i			0.328410i	−0.986426	+	0.164205i	$0.947494\pi$
$908$	21.2294	+	5.68840i	0.704522	+	0.188776i
$909$	−14.7571			−0.489461
$910$	−0.824615	−	13.5124i	−0.0273357	−	0.447931i
$911$	11.6807			0.387000			0.193500	−	0.981100i	$-0.438016\pi$
$911$	11.6807			0.387000			0.193500	+	0.981100i	$0.438016\pi$
$912$	−10.3107	−	2.76274i	−0.341421	−	0.0914836i
$913$			0.270049i			0.00893730i
$914$	0.119378	+	0.0689229i	0.00394867	+	0.00227977i
$915$	0.418382	−	0.112105i	0.0138313	−	0.00370608i
$916$	7.57851	−	28.2834i	0.250401	−	0.934510i
$917$	−7.19645	+	0.0596139i	−0.237648	+	0.00196863i
$918$	7.53022	+	7.53022i	0.248534	+	0.248534i
$919$	−8.89171			−0.293311			−0.146655	−	0.989188i	$-0.546851\pi$
$919$	−8.89171			−0.293311			−0.146655	+	0.989188i	$0.546851\pi$
$920$	2.44102			0.0804782
$921$	−17.3679	−	17.3679i	−0.572290	−	0.572290i
$922$	4.84612	−	8.39373i	0.159598	−	0.276433i
$923$	24.5508	−	27.2833i	0.808101	−	0.898042i
$924$	0.275591	−	0.280195i	0.00906628	−	0.00921774i
$925$	−6.00195	−	22.3996i	−0.197343	−	0.736493i
$926$	5.00157	+	8.66297i	0.164362	+	0.284683i
$927$	−10.8158	+	18.7335i	−0.355237	+	0.615288i
$928$	5.66719	+	1.51852i	0.186035	+	0.0498478i
$929$	−3.61368	−	3.61368i	−0.118561	−	0.118561i	0.645337	−	0.763898i	$-0.276717\pi$
$929$	−3.61368	−	3.61368i	−0.118561	−	0.118561i	−0.763898	+	0.645337i	$0.776717\pi$
$930$	2.52106	+	0.675516i	0.0826688	+	0.0221510i
$931$	−24.9901	+	7.14184i	−0.819017	+	0.234064i
$932$	12.4201	+	21.5122i	0.406834	+	0.704657i
$933$	23.6089	−	13.6306i	0.772921	−	0.446246i
$934$	8.45624	−	8.45624i	0.276697	−	0.276697i
$935$	−1.65688	+	0.956598i	−0.0541856	+	0.0312841i
$936$	10.9388	−	3.55795i	0.357545	−	0.116295i
$937$			19.6472i			0.641846i	0.947105	+	0.320923i	$0.103993\pi$
$937$			19.6472i			0.641846i	−0.947105	+	0.320923i	$0.896007\pi$
$938$	4.96897	−	8.77356i	0.162243	−	0.286467i
$939$	7.48016	−	12.9560i	0.244106	−	0.422804i
$940$		−	62.8958i		−	2.05143i
$941$	6.15795	−	22.9818i	0.200743	−	0.749185i	−0.789962	−	0.613156i	$-0.789900\pi$
$941$	6.15795	−	22.9818i	0.200743	−	0.749185i	0.990705	−	0.136028i	$-0.0434338\pi$
$942$	0.0458386	+	0.171072i	0.00149350	+	0.00557383i
$943$	0.981168	−	0.981168i	0.0319512	−	0.0319512i
$944$	15.8950	−	15.8950i	0.517339	−	0.517339i
$945$	33.0342	+	32.4914i	1.07460	+	1.05694i
$946$	0.289959	+	0.167408i	0.00942739	+	0.00544291i
$947$	14.0122	−	52.2944i	0.455337	−	1.69934i	−0.231759	−	0.972773i	$-0.574448\pi$
$947$	14.0122	−	52.2944i	0.455337	−	1.69934i	0.687095	−	0.726567i	$-0.258885\pi$
$948$	2.98009	+	5.16166i	0.0967887	+	0.167643i
$949$	22.0932	−	24.5522i	0.717175	−	0.796997i
$950$	−10.7651	−	6.21522i	−0.349265	−	0.201648i
$951$	15.0917	−	4.04380i	0.489381	−	0.131129i
$952$	−16.1185	+	16.3878i	−0.522404	+	0.531132i
$953$	33.5390	−	19.3637i	1.08643	−	0.627253i	0.153809	−	0.988101i	$-0.450846\pi$
$953$	33.5390	−	19.3637i	1.08643	−	0.627253i	0.932625	+	0.360848i	$0.117513\pi$
$954$	−2.69182	−	10.0460i	−0.0871509	−	0.325252i
$955$	73.8760	−	19.7950i	2.39057	−	0.640552i
$956$	36.5930	−	9.80506i	1.18350	−	0.317118i
$957$	−0.0293063	−	0.109373i	−0.000947338	−	0.00353551i
$958$	9.87648	−	5.70219i	0.319094	−	0.184229i
$959$	−7.99201	+	8.12553i	−0.258076	+	0.262387i
$960$	−15.3845	+	4.12227i	−0.496533	+	0.133046i
$961$	23.3468	+	13.4793i	0.753123	+	0.434816i
$962$	1.99364	+	3.06787i	0.0642774	+	0.0989120i
$963$	0.0647688	+	0.112183i	0.00208715	+	0.00361504i
$964$	−0.489696	+	1.82757i	−0.0157721	+	0.0588621i
$965$	−43.0497	−	24.8547i	−1.38582	−	0.800103i
$966$	−0.294830	−	0.289985i	−0.00948600	−	0.00933013i
$967$	1.90329	−	1.90329i	0.0612056	−	0.0612056i	−0.675841	−	0.737047i	$-0.736220\pi$
$967$	1.90329	−	1.90329i	0.0612056	−	0.0612056i	0.737047	+	0.675841i	$0.236220\pi$
$968$	−11.4643	+	11.4643i	−0.368476	+	0.368476i
$969$	−5.17864	−	19.3270i	−0.166362	−	0.620871i
$970$	0.641587	−	2.39444i	0.0206001	−	0.0768807i
$971$		−	0.821777i		−	0.0263721i	−0.999913	−	0.0131860i	$-0.995803\pi$
$971$		−	0.821777i		−	0.0263721i	0.999913	−	0.0131860i	$-0.00419737\pi$
$972$	−14.9703	+	25.9294i	−0.480174	+	0.831686i
$973$	−18.2550	+	32.2322i	−0.585227	+	1.03332i
$974$		−	5.48805i		−	0.175848i
$975$	28.8122	−	1.51887i	0.922729	−	0.0486428i
$976$	−0.347516	+	0.200638i	−0.0111237	+	0.00642227i
$977$	−8.27266	+	8.27266i	−0.264666	+	0.264666i	−0.826947	−	0.562281i	$-0.809924\pi$
$977$	−8.27266	+	8.27266i	−0.264666	+	0.264666i	0.562281	+	0.826947i	$0.309924\pi$
$978$	1.34676	−	0.777553i	0.0430647	−	0.0248634i
$979$	0.0739911	+	0.128156i	0.00236477	+	0.00409589i
$980$	−33.4474	+	34.5744i	−1.06844	+	1.10444i
$981$	34.3624	+	9.20739i	1.09711	+	0.293969i
$982$	5.16952	+	5.16952i	0.164966	+	0.164966i
$983$	−12.1393	−	3.25273i	−0.387185	−	0.103746i	0.0599750	−	0.998200i	$-0.480898\pi$
$983$	−12.1393	−	3.25273i	−0.387185	−	0.103746i	−0.447160	+	0.894454i	$0.647565\pi$
$984$	2.09728	−	3.63260i	0.0668589	−	0.115803i
$985$	30.6587	+	53.1024i	0.976867	+	1.69198i
$986$	0.824439	+	3.07685i	0.0262555	+	0.0979868i
$987$	−15.5342	+	15.7937i	−0.494458	+	0.502719i
$988$	−24.2726	−	5.15149i	−0.772213	−	0.163891i
$989$	−2.22868	+	3.86019i	−0.0708679	+	0.122747i
$990$	0.190141	+	0.190141i	0.00604309	+	0.00604309i
$991$	−10.7930			−0.342853			−0.171426	−	0.985197i	$-0.554838\pi$
$991$	−10.7930			−0.342853			−0.171426	+	0.985197i	$0.554838\pi$
$992$	−8.34818			−0.265055
$993$	−14.0873	−	14.0873i	−0.447047	−	0.447047i
$994$	10.3082	−	0.0853910i	0.326956	−	0.00270844i
$995$	12.4387	−	46.4219i	0.394334	−	1.47167i
$996$	−5.04920	+	1.35293i	−0.159990	+	0.0428692i
$997$	−30.6571	−	17.6999i	−0.970919	−	0.560560i	−0.0714028	−	0.997448i	$-0.522748\pi$
$997$	−30.6571	−	17.6999i	−0.970919	−	0.560560i	−0.899516	+	0.436887i	$0.856081\pi$
$998$			8.83764i			0.279750i
$999$	−12.0961	−	3.24115i	−0.382705	−	0.102546i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	91.2.w.a.19.5	✓	28
3.2	odd	2		819.2.gh.b.19.3		28
7.2	even	3		637.2.bd.a.97.3		28
7.3	odd	6		91.2.ba.a.45.3	yes	28
7.4	even	3		637.2.bb.a.227.3		28
7.5	odd	6		637.2.bd.b.97.3		28
7.6	odd	2		637.2.x.a.19.5		28
13.11	odd	12		91.2.ba.a.89.3	yes	28
21.17	even	6		819.2.et.b.136.5		28
39.11	even	12		819.2.et.b.271.5		28
91.11	odd	12		637.2.x.a.570.5		28
91.24	even	12	inner	91.2.w.a.24.5	yes	28
91.37	odd	12		637.2.bd.b.440.3		28
91.76	even	12		637.2.bb.a.362.3		28
91.89	even	12		637.2.bd.a.440.3		28
273.206	odd	12		819.2.gh.b.388.3		28

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
91.2.w.a.19.5	✓	28	1.1	even	1	trivial
91.2.w.a.24.5	yes	28	91.24	even	12	inner
91.2.ba.a.45.3	yes	28	7.3	odd	6
91.2.ba.a.89.3	yes	28	13.11	odd	12
637.2.x.a.19.5		28	7.6	odd	2
637.2.x.a.570.5		28	91.11	odd	12
637.2.bb.a.227.3		28	7.4	even	3
637.2.bb.a.362.3		28	91.76	even	12
637.2.bd.a.97.3		28	7.2	even	3
637.2.bd.a.440.3		28	91.89	even	12
637.2.bd.b.97.3		28	7.5	odd	6
637.2.bd.b.440.3		28	91.37	odd	12
819.2.et.b.136.5		28	21.17	even	6
819.2.et.b.271.5		28	39.11	even	12
819.2.gh.b.19.3		28	3.2	odd	2
819.2.gh.b.388.3		28	273.206	odd	12

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:	\( N \)	\(=\)	\( 91 = 7 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	91.w (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(0.369709 + 0.0990633i) q^{2} -0.914861i q^{3} +(-1.60518 - 0.926751i) q^{4} +(3.58134 - 0.959617i) q^{5} +(0.0906291 - 0.338232i) q^{6} +(-2.28025 + 1.34181i) q^{7} +(-1.04293 - 1.04293i) q^{8} +2.16303 q^{9} +O(q^{10})\)	\(q+(0.369709 + 0.0990633i) q^{2} -0.914861i q^{3} +(-1.60518 - 0.926751i) q^{4} +(3.58134 - 0.959617i) q^{5} +(0.0906291 - 0.338232i) q^{6} +(-2.28025 + 1.34181i) q^{7} +(-1.04293 - 1.04293i) q^{8} +2.16303 q^{9} +1.41912 q^{10} +(0.0619435 + 0.0619435i) q^{11} +(-0.847848 + 1.46852i) q^{12} +(-1.63590 + 3.21307i) q^{13} +(-0.975954 + 0.270190i) q^{14} +(-0.877916 - 3.27643i) q^{15} +(1.57124 + 2.72146i) q^{16} +(-2.94521 + 5.10126i) q^{17} +(0.799692 + 0.214277i) q^{18} +(-2.62545 - 2.62545i) q^{19} +(-6.63802 - 1.77865i) q^{20} +(1.22757 + 2.08611i) q^{21} +(0.0167648 + 0.0290374i) q^{22} +(-0.386571 + 0.223187i) q^{23} +(-0.954139 + 0.954139i) q^{24} +(7.57501 - 4.37343i) q^{25} +(-0.923104 + 1.02585i) q^{26} -4.72345i q^{27} +(4.90374 - 0.0406215i) q^{28} +(0.706429 - 1.22357i) q^{29} -1.29829i q^{30} +(-0.520311 + 1.94183i) q^{31} +(1.07478 + 4.01115i) q^{32} +(0.0566697 - 0.0566697i) q^{33} +(-1.59422 + 1.59422i) q^{34} +(-6.87873 + 6.99365i) q^{35} +(-3.47205 - 2.00459i) q^{36} +(0.686183 - 2.56087i) q^{37} +(-0.710566 - 1.23074i) q^{38} +(2.93951 + 1.49662i) q^{39} +(-4.73592 - 2.73428i) q^{40} +(-3.00264 + 0.804556i) q^{41} +(0.247186 + 0.892862i) q^{42} +(8.64788 - 4.99286i) q^{43} +(-0.0420243 - 0.156837i) q^{44} +(7.74655 - 2.07568i) q^{45} +(-0.165028 + 0.0442192i) q^{46} +(2.36877 + 8.84037i) q^{47} +(2.48976 - 1.43746i) q^{48} +(3.39909 - 6.11933i) q^{49} +(3.23380 - 0.866493i) q^{50} +(4.66694 + 2.69446i) q^{51} +(5.60363 - 3.64149i) q^{52} +(-6.28118 - 10.8793i) q^{53} +(0.467921 - 1.74630i) q^{54} +(0.281283 + 0.162399i) q^{55} +(3.77757 + 0.978732i) q^{56} +(-2.40192 + 2.40192i) q^{57} +(0.382384 - 0.382384i) q^{58} +(-1.85141 - 6.90954i) q^{59} +(-1.62722 + 6.07286i) q^{60} +0.127695i q^{61} +(-0.384727 + 0.666367i) q^{62} +(-4.93225 + 2.90238i) q^{63} -4.69551i q^{64} +(-2.77539 + 13.0769i) q^{65} +(0.0265652 - 0.0153374i) q^{66} +(-7.04056 + 7.04056i) q^{67} +(9.45519 - 5.45896i) q^{68} +(0.204185 + 0.353658i) q^{69} +(-3.23594 + 1.90419i) q^{70} +(-9.83277 - 2.63468i) q^{71} +(-2.25590 - 2.25590i) q^{72} +(-8.84847 - 2.37094i) q^{73} +(0.507376 - 0.878801i) q^{74} +(-4.00108 - 6.93007i) q^{75} +(1.78118 + 6.64744i) q^{76} +(-0.224363 - 0.0581303i) q^{77} +(0.938505 + 0.844511i) q^{78} +(1.75744 - 3.04398i) q^{79} +(8.23869 + 8.23869i) q^{80} +2.16779 q^{81} -1.18981 q^{82} +(2.17980 + 2.17980i) q^{83} +(-0.0371630 - 4.48623i) q^{84} +(-5.65256 + 21.0956i) q^{85} +(3.69181 - 0.989217i) q^{86} +(-1.11940 - 0.646284i) q^{87} -0.129206i q^{88} +(1.63171 + 0.437215i) q^{89} +3.06959 q^{90} +(-0.581076 - 9.52168i) q^{91} +0.827354 q^{92} +(1.77650 + 0.476012i) q^{93} +3.50302i q^{94} +(-11.9220 - 6.88319i) q^{95} +(3.66964 - 0.983278i) q^{96} +(0.452103 - 1.68727i) q^{97} +(1.86288 - 1.92565i) q^{98} +(0.133986 + 0.133986i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 28 q - 2 q^{2} - 6 q^{4} - 6 q^{5} + 12 q^{6} + 2 q^{7} - 4 q^{8} - 12 q^{9}+O(q^{10}) \) 28 * q - 2 * q^2 - 6 * q^4 - 6 * q^5 + 12 * q^6 + 2 * q^7 - 4 * q^8 - 12 * q^9	\( 28 q - 2 q^{2} - 6 q^{4} - 6 q^{5} + 12 q^{6} + 2 q^{7} - 4 q^{8} - 12 q^{9} - 12 q^{10} + 2 q^{11} + 8 q^{12} - 20 q^{14} + 10 q^{15} - 2 q^{16} - 6 q^{17} - 4 q^{18} - 8 q^{19} - 36 q^{20} - 2 q^{21} - 8 q^{22} - 6 q^{23} + 12 q^{24} + 24 q^{26} - 18 q^{28} - 8 q^{29} - 38 q^{31} - 20 q^{32} + 18 q^{33} + 12 q^{34} - 2 q^{35} + 54 q^{36} - 16 q^{37} + 28 q^{39} + 48 q^{40} + 18 q^{41} - 4 q^{42} + 48 q^{43} - 6 q^{44} + 12 q^{45} + 18 q^{46} - 42 q^{47} + 12 q^{48} + 8 q^{49} + 10 q^{50} + 12 q^{51} - 28 q^{52} + 12 q^{53} - 30 q^{54} - 6 q^{55} - 24 q^{56} + 12 q^{57} + 62 q^{58} - 6 q^{59} + 16 q^{60} - 36 q^{62} - 38 q^{63} - 2 q^{65} + 66 q^{66} - 4 q^{67} + 30 q^{68} + 42 q^{69} + 68 q^{70} - 42 q^{71} - 38 q^{72} + 14 q^{73} - 6 q^{74} - 20 q^{75} + 52 q^{76} - 62 q^{78} + 4 q^{79} + 12 q^{80} + 12 q^{81} - 108 q^{82} - 66 q^{83} - 56 q^{84} - 54 q^{85} - 30 q^{86} + 42 q^{87} - 30 q^{89} - 72 q^{90} - 42 q^{91} - 156 q^{92} + 14 q^{93} - 6 q^{95} + 18 q^{96} + 62 q^{97} + 112 q^{98} - 36 q^{99}+O(q^{100}) \) 28 * q - 2 * q^2 - 6 * q^4 - 6 * q^5 + 12 * q^6 + 2 * q^7 - 4 * q^8 - 12 * q^9 - 12 * q^10 + 2 * q^11 + 8 * q^12 - 20 * q^14 + 10 * q^15 - 2 * q^16 - 6 * q^17 - 4 * q^18 - 8 * q^19 - 36 * q^20 - 2 * q^21 - 8 * q^22 - 6 * q^23 + 12 * q^24 + 24 * q^26 - 18 * q^28 - 8 * q^29 - 38 * q^31 - 20 * q^32 + 18 * q^33 + 12 * q^34 - 2 * q^35 + 54 * q^36 - 16 * q^37 + 28 * q^39 + 48 * q^40 + 18 * q^41 - 4 * q^42 + 48 * q^43 - 6 * q^44 + 12 * q^45 + 18 * q^46 - 42 * q^47 + 12 * q^48 + 8 * q^49 + 10 * q^50 + 12 * q^51 - 28 * q^52 + 12 * q^53 - 30 * q^54 - 6 * q^55 - 24 * q^56 + 12 * q^57 + 62 * q^58 - 6 * q^59 + 16 * q^60 - 36 * q^62 - 38 * q^63 - 2 * q^65 + 66 * q^66 - 4 * q^67 + 30 * q^68 + 42 * q^69 + 68 * q^70 - 42 * q^71 - 38 * q^72 + 14 * q^73 - 6 * q^74 - 20 * q^75 + 52 * q^76 - 62 * q^78 + 4 * q^79 + 12 * q^80 + 12 * q^81 - 108 * q^82 - 66 * q^83 - 56 * q^84 - 54 * q^85 - 30 * q^86 + 42 * q^87 - 30 * q^89 - 72 * q^90 - 42 * q^91 - 156 * q^92 + 14 * q^93 - 6 * q^95 + 18 * q^96 + 62 * q^97 + 112 * q^98 - 36 * q^99

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