LMFDB - Embedded newform 231.2.ba.a.73.16

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [231,2,Mod(19,231)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(231, base_ring=CyclotomicField(30))

chi = DirichletCharacter(H, H._module([0, 25, 9]))

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

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

chi := DirichletCharacter("231.19");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 231 = 3 \cdot 7 \cdot 11 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	231.ba (of order $30$, degree $8$, 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:	$1.84454428669$
Analytic rank:	$0$
Dimension:	$128$
Relative dimension:	$16$ over $\Q(\zeta_{30})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label			73.16
Character	$\chi$	$=$	231.73
Dual form			231.2.ba.a.19.16

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(2.65417 + 0.278965i) q^{2} +(-0.743145 + 0.669131i) q^{3} +(5.01052 + 1.06502i) q^{4} +(-0.0958279 + 0.215233i) q^{5} +(-2.15910 + 1.56868i) q^{6} +(-2.64356 + 0.107664i) q^{7} +(7.92533 + 2.57510i) q^{8} +(0.104528 - 0.994522i) q^{9} +O(q^{10})$	\(q+(2.65417 + 0.278965i) q^{2} +(-0.743145 + 0.669131i) q^{3} +(5.01052 + 1.06502i) q^{4} +(-0.0958279 + 0.215233i) q^{5} +(-2.15910 + 1.56868i) q^{6} +(-2.64356 + 0.107664i) q^{7} +(7.92533 + 2.57510i) q^{8} +(0.104528 - 0.994522i) q^{9} +(-0.314386 + 0.544533i) q^{10} +(-1.24906 - 3.07243i) q^{11} +(-4.43618 + 2.56123i) q^{12} +(-3.01526 - 2.19072i) q^{13} +(-7.04650 - 0.451703i) q^{14} +(-0.0728050 - 0.224071i) q^{15} +(10.9577 + 4.87866i) q^{16} +(0.401870 + 3.82354i) q^{17} +(0.554873 - 2.61047i) q^{18} +(4.68129 - 0.995039i) q^{19} +(-0.709375 + 0.976371i) q^{20} +(1.89251 - 1.84890i) q^{21} +(-2.45813 - 8.50321i) q^{22} +(-2.07688 - 3.59726i) q^{23} +(-7.61275 + 3.38941i) q^{24} +(3.30851 + 3.67447i) q^{25} +(-7.39189 - 6.65569i) q^{26} +(0.587785 + 0.809017i) q^{27} +(-13.3603 - 2.27599i) q^{28} +(-3.14773 + 1.02276i) q^{29} +(-0.130729 - 0.615033i) q^{30} +(-3.04239 - 6.83333i) q^{31} +(13.2890 + 7.67242i) q^{32} +(2.98409 + 1.44748i) q^{33} +10.2604i q^{34} +(0.230154 - 0.579299i) q^{35} +(1.58293 - 4.87175i) q^{36} +(-2.80574 + 3.11609i) q^{37} +(12.7025 - 1.33509i) q^{38} +(3.70665 - 0.389585i) q^{39} +(-1.31371 + 1.45903i) q^{40} +(-1.45611 + 4.48144i) q^{41} +(5.53882 - 4.37935i) q^{42} +10.6448i q^{43} +(-2.98626 - 16.7248i) q^{44} +(0.204037 + 0.117801i) q^{45} +(-4.50889 - 10.1271i) q^{46} +(-0.775630 - 3.64905i) q^{47} +(-11.4076 + 3.70655i) q^{48} +(6.97682 - 0.569230i) q^{49} +(7.75631 + 10.6756i) q^{50} +(-2.85709 - 2.57254i) q^{51} +(-12.7749 - 14.1879i) q^{52} +(-5.81868 + 2.59064i) q^{53} +(1.33440 + 2.31124i) q^{54} +(0.780984 + 0.0255852i) q^{55} +(-21.2283 - 5.95415i) q^{56} +(-2.81307 + 3.87185i) q^{57} +(-8.63995 + 1.83648i) q^{58} +(0.532560 - 2.50550i) q^{59} +(-0.126151 - 1.20025i) q^{60} +(6.48807 + 2.88867i) q^{61} +(-6.16878 - 18.9856i) q^{62} +(-0.169254 + 2.64033i) q^{63} +(13.7233 + 9.97055i) q^{64} +(0.760461 - 0.439052i) q^{65} +(7.51651 + 4.67431i) q^{66} +(5.39141 - 9.33820i) q^{67} +(-2.05856 + 19.5859i) q^{68} +(3.95046 + 1.28358i) q^{69} +(0.772473 - 1.47335i) q^{70} +(-2.72196 + 1.97762i) q^{71} +(3.38941 - 7.61275i) q^{72} +(12.0098 + 2.55276i) q^{73} +(-8.31619 + 7.48793i) q^{74} +(-4.91741 - 0.516840i) q^{75} +24.5154 q^{76} +(3.63276 + 7.98768i) q^{77} +9.94677 q^{78} +(10.9330 + 1.14910i) q^{79} +(-2.10010 + 1.89094i) q^{80} +(-0.978148 - 0.207912i) q^{81} +(-5.11493 + 11.4883i) q^{82} +(-12.9336 + 9.39678i) q^{83} +(11.4515 - 7.24837i) q^{84} +(-0.861462 - 0.279906i) q^{85} +(-2.96953 + 28.2532i) q^{86} +(1.65486 - 2.86631i) q^{87} +(-1.98743 - 27.5665i) q^{88} +(-7.15365 + 4.13016i) q^{89} +(0.508688 + 0.369583i) q^{90} +(8.20688 + 5.46665i) q^{91} +(-6.57510 - 20.2361i) q^{92} +(6.83333 + 3.04239i) q^{93} +(-1.04070 - 9.90159i) q^{94} +(-0.234433 + 1.10292i) q^{95} +(-15.0095 + 3.19037i) q^{96} +(1.40251 - 1.93039i) q^{97} +(18.6765 + 0.435452i) q^{98} +(-3.18616 + 0.921064i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 128 q - 12 q^{4} + 12 q^{5} - 10 q^{7} - 40 q^{8} - 16 q^{9}+O(q^{10}) $ 128 * q - 12 * q^4 + 12 * q^5 - 10 * q^7 - 40 * q^8 - 16 * q^9	$ 128 q - 12 q^{4} + 12 q^{5} - 10 q^{7} - 40 q^{8} - 16 q^{9} - 2 q^{11} + 12 q^{14} + 12 q^{15} + 40 q^{16} - 60 q^{17} - 10 q^{18} + 52 q^{22} - 24 q^{23} - 90 q^{24} - 20 q^{25} + 24 q^{26} + 30 q^{28} + 40 q^{29} - 18 q^{31} + 18 q^{33} - 80 q^{35} - 24 q^{36} - 8 q^{37} - 24 q^{38} - 90 q^{40} + 14 q^{42} - 82 q^{44} + 12 q^{45} + 70 q^{46} - 24 q^{47} - 94 q^{49} - 20 q^{51} + 4 q^{53} - 104 q^{56} - 32 q^{58} + 48 q^{59} + 30 q^{61} - 10 q^{63} - 48 q^{64} + 36 q^{66} - 40 q^{67} + 180 q^{68} + 146 q^{70} - 32 q^{71} + 10 q^{72} + 90 q^{73} + 40 q^{74} - 24 q^{75} - 72 q^{78} + 50 q^{79} + 228 q^{80} + 16 q^{81} + 168 q^{82} - 60 q^{84} - 20 q^{85} + 146 q^{86} + 16 q^{88} + 48 q^{91} - 204 q^{92} + 44 q^{93} + 10 q^{95} - 44 q^{99}+O(q^{100}) $ 128 * q - 12 * q^4 + 12 * q^5 - 10 * q^7 - 40 * q^8 - 16 * q^9 - 2 * q^11 + 12 * q^14 + 12 * q^15 + 40 * q^16 - 60 * q^17 - 10 * q^18 + 52 * q^22 - 24 * q^23 - 90 * q^24 - 20 * q^25 + 24 * q^26 + 30 * q^28 + 40 * q^29 - 18 * q^31 + 18 * q^33 - 80 * q^35 - 24 * q^36 - 8 * q^37 - 24 * q^38 - 90 * q^40 + 14 * q^42 - 82 * q^44 + 12 * q^45 + 70 * q^46 - 24 * q^47 - 94 * q^49 - 20 * q^51 + 4 * q^53 - 104 * q^56 - 32 * q^58 + 48 * q^59 + 30 * q^61 - 10 * q^63 - 48 * q^64 + 36 * q^66 - 40 * q^67 + 180 * q^68 + 146 * q^70 - 32 * q^71 + 10 * q^72 + 90 * q^73 + 40 * q^74 - 24 * q^75 - 72 * q^78 + 50 * q^79 + 228 * q^80 + 16 * q^81 + 168 * q^82 - 60 * q^84 - 20 * q^85 + 146 * q^86 + 16 * q^88 + 48 * q^91 - 204 * q^92 + 44 * q^93 + 10 * q^95 - 44 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/231\mathbb{Z}\right)^\times$.

$n$	$155$	$199$	$211$
$\chi(n)$	$1$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{7}{10}\right)$

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 $

$2$	2.65417	+	0.278965i	1.87678	+	0.197258i	0.973012	−	0.230756i	$-0.0741199\pi$
$2$	2.65417	+	0.278965i	1.87678	+	0.197258i	0.903772	+	0.428014i	$0.140787\pi$
$3$	−0.743145	+	0.669131i	−0.429055	+	0.386323i
$3$	−0.743145	+	0.669131i	−0.429055	+	0.386323i
$4$	5.01052	+	1.06502i	2.50526	+	0.532509i
$5$	−0.0958279	+	0.215233i	−0.0428556	+	0.0962552i	−0.933705	−	0.358044i	$-0.883444\pi$
$5$	−0.0958279	+	0.215233i	−0.0428556	+	0.0962552i	0.890849	+	0.454299i	$0.150110\pi$
$6$	−2.15910	+	1.56868i	−0.881448	+	0.640410i
$7$	−2.64356	+	0.107664i	−0.999172	+	0.0406930i
$7$	−2.64356	+	0.107664i	−0.999172	+	0.0406930i
$8$	7.92533	+	2.57510i	2.80203	+	0.910434i
$9$	0.104528	−	0.994522i	0.0348428	−	0.331507i
$10$	−0.314386	+	0.544533i	−0.0994177	+	0.172197i
$11$	−1.24906	−	3.07243i	−0.376607	−	0.926373i
$11$	−1.24906	−	3.07243i	−0.376607	−	0.926373i
$12$	−4.43618	+	2.56123i	−1.28061	+	0.739363i
$13$	−3.01526	−	2.19072i	−0.836283	−	0.607595i	0.0850470	−	0.996377i	$-0.472896\pi$
$13$	−3.01526	−	2.19072i	−0.836283	−	0.607595i	−0.921330	+	0.388782i	$0.872896\pi$
$14$	−7.04650	−	0.451703i	−1.88326	−	0.120723i
$15$	−0.0728050	−	0.224071i	−0.0187982	−	0.0578548i
$16$	10.9577	+	4.87866i	2.73941	+	1.21967i
$17$	0.401870	+	3.82354i	0.0974678	+	0.927344i	0.928553	+	0.371199i	$0.121053\pi$
$17$	0.401870	+	3.82354i	0.0974678	+	0.927344i	−0.831085	+	0.556145i	$0.812280\pi$
$18$	0.554873	−	2.61047i	0.130785	−	0.615294i
$19$	4.68129	−	0.995039i	1.07396	−	0.228278i	0.363201	−	0.931711i	$-0.381684\pi$
$19$	4.68129	−	0.995039i	1.07396	−	0.228278i	0.710761	+	0.703433i	$0.248351\pi$
$20$	−0.709375	+	0.976371i	−0.158621	+	0.218323i
$21$	1.89251	−	1.84890i	0.412979	−	0.403462i
$22$	−2.45813	−	8.50321i	−0.524075	−	1.81289i
$23$	−2.07688	−	3.59726i	−0.433060	−	0.750081i	0.564075	−	0.825723i	$-0.309233\pi$
$23$	−2.07688	−	3.59726i	−0.433060	−	0.750081i	−0.997135	+	0.0756420i	$0.975899\pi$
$24$	−7.61275	+	3.38941i	−1.55395	+	0.691861i
$25$	3.30851	+	3.67447i	0.661702	+	0.734895i
$26$	−7.39189	−	6.65569i	−1.44967	−	1.30529i
$27$	0.587785	+	0.809017i	0.113119	+	0.155695i
$28$	−13.3603	−	2.27599i	−2.52485	−	0.430122i
$29$	−3.14773	+	1.02276i	−0.584520	+	0.189922i	−0.586324	−	0.810076i	$-0.699426\pi$
$29$	−3.14773	+	1.02276i	−0.584520	+	0.189922i	0.00180464	+	0.999998i	$0.499426\pi$
$30$	−0.130729	−	0.615033i	−0.0238678	−	0.112289i
$31$	−3.04239	−	6.83333i	−0.546430	−	1.22730i	−0.949970	−	0.312340i	$-0.898887\pi$
$31$	−3.04239	−	6.83333i	−0.546430	−	1.22730i	0.403540	−	0.914962i	$-0.367779\pi$
$32$	13.2890	+	7.67242i	2.34919	+	1.35631i
$33$	2.98409	+	1.44748i	0.519464	+	0.251973i
$34$			10.2604i			1.75965i
$35$	0.230154	−	0.579299i	0.0389031	−	0.0979193i
$36$	1.58293	−	4.87175i	0.263821	−	0.811958i
$37$	−2.80574	+	3.11609i	−0.461260	+	0.512281i	−0.928238	−	0.371988i	$-0.878676\pi$
$37$	−2.80574	+	3.11609i	−0.461260	+	0.512281i	0.466977	+	0.884269i	$0.345343\pi$
$38$	12.7025	−	1.33509i	2.06062	−	0.216580i
$39$	3.70665	−	0.389585i	0.593539	−	0.0623835i
$40$	−1.31371	+	1.45903i	−0.207716	+	0.230693i
$41$	−1.45611	+	4.48144i	−0.227406	+	0.699883i	0.770633	+	0.637280i	$0.219940\pi$
$41$	−1.45611	+	4.48144i	−0.227406	+	0.699883i	−0.998038	+	0.0626037i	$0.980060\pi$
$42$	5.53882	−	4.37935i	0.854658	−	0.675748i
$43$			10.6448i			1.62332i	0.584129	+	0.811661i	$0.301436\pi$
$43$			10.6448i			1.62332i	−0.584129	+	0.811661i	$0.698564\pi$
$44$	−2.98626	−	16.7248i	−0.450195	−	2.52135i
$45$	0.204037	+	0.117801i	0.0304161	+	0.0175607i
$46$	−4.50889	−	10.1271i	−0.664800	−	1.49316i
$47$	−0.775630	−	3.64905i	−0.113137	−	0.532269i	−0.997815	−	0.0660663i	$-0.978955\pi$
$47$	−0.775630	−	3.64905i	−0.113137	−	0.532269i	0.884678	−	0.466203i	$-0.154378\pi$
$48$	−11.4076	+	3.70655i	−1.64654	+	0.534994i
$49$	6.97682	−	0.569230i	0.996688	−	0.0813186i
$50$	7.75631	+	10.6756i	1.09691	+	1.50976i
$51$	−2.85709	−	2.57254i	−0.400073	−	0.360227i
$52$	−12.7749	−	14.1879i	−1.77156	−	1.96751i
$53$	−5.81868	+	2.59064i	−0.799258	+	0.355852i	−0.765384	−	0.643574i	$-0.777451\pi$
$53$	−5.81868	+	2.59064i	−0.799258	+	0.355852i	−0.0338735	+	0.999426i	$0.510784\pi$
$54$	1.33440	+	2.31124i	0.181588	+	0.314520i
$55$	0.780984	+	0.0255852i	0.105308	+	0.00344990i
$56$	−21.2283	−	5.95415i	−2.83676	−	0.795657i
$57$	−2.81307	+	3.87185i	−0.372600	+	0.512840i
$58$	−8.63995	+	1.83648i	−1.13448	+	0.241141i
$59$	0.532560	−	2.50550i	0.0693334	−	0.326188i	−0.929788	−	0.368095i	$-0.880010\pi$
$59$	0.532560	−	2.50550i	0.0693334	−	0.326188i	0.999122	+	0.0419071i	$0.0133434\pi$
$60$	−0.126151	−	1.20025i	−0.0162861	−	0.154952i
$61$	6.48807	+	2.88867i	0.830712	+	0.369857i	0.777621	−	0.628733i	$-0.216426\pi$
$61$	6.48807	+	2.88867i	0.830712	+	0.369857i	0.0530906	+	0.998590i	$0.483093\pi$
$62$	−6.16878	−	18.9856i	−0.783436	−	2.41117i
$63$	−0.169254	+	2.64033i	−0.0213239	+	0.332651i
$64$	13.7233	+	9.97055i	1.71541	+	1.24632i
$65$	0.760461	−	0.439052i	0.0943235	−	0.0544577i
$66$	7.51651	+	4.67431i	0.925218	+	0.575368i
$67$	5.39141	−	9.33820i	0.658666	−	1.14084i	−0.322295	−	0.946639i	$-0.604454\pi$
$67$	5.39141	−	9.33820i	0.658666	−	1.14084i	0.980961	−	0.194204i	$-0.0622123\pi$
$68$	−2.05856	+	19.5859i	−0.249637	+	2.37514i
$69$	3.95046	+	1.28358i	0.475580	+	0.154525i
$70$	0.772473	−	1.47335i	0.0923282	−	0.176099i
$71$	−2.72196	+	1.97762i	−0.323037	+	0.234700i	−0.737470	−	0.675380i	$-0.763980\pi$
$71$	−2.72196	+	1.97762i	−0.323037	+	0.234700i	0.414433	+	0.910080i	$0.363980\pi$
$72$	3.38941	−	7.61275i	0.399446	−	0.897171i
$73$	12.0098	+	2.55276i	1.40564	+	0.298778i	0.847424	−	0.530917i	$-0.178152\pi$
$73$	12.0098	+	2.55276i	1.40564	+	0.298778i	0.558217	+	0.829695i	$0.311486\pi$
$74$	−8.31619	+	7.48793i	−0.966737	+	0.870454i
$75$	−4.91741	−	0.516840i	−0.567813	−	0.0596796i
$76$	24.5154			2.81211
$77$	3.63276	+	7.98768i	0.413992	+	0.910281i
$78$	9.94677			1.12625
$79$	10.9330	+	1.14910i	1.23006	+	0.129284i	0.697172	−	0.716904i	$-0.254442\pi$
$79$	10.9330	+	1.14910i	1.23006	+	0.129284i	0.532884	+	0.846188i	$0.321108\pi$
$80$	−2.10010	+	1.89094i	−0.234798	+	0.211413i
$81$	−0.978148	−	0.207912i	−0.108683	−	0.0231013i
$82$	−5.11493	+	11.4883i	−0.564849	+	1.26867i
$83$	−12.9336	+	9.39678i	−1.41964	+	1.03143i	−0.427813	+	0.903867i	$0.640716\pi$
$83$	−12.9336	+	9.39678i	−1.41964	+	1.03143i	−0.991830	+	0.127564i	$0.959284\pi$
$84$	11.4515	−	7.24837i	1.24947	−	0.790862i
$85$	−0.861462	−	0.279906i	−0.0934387	−	0.0303601i
$86$	−2.96953	+	28.2532i	−0.320213	+	3.04662i
$87$	1.65486	−	2.86631i	0.177420	−	0.307300i
$88$	−1.98743	−	27.5665i	−0.211861	−	2.93860i
$89$	−7.15365	+	4.13016i	−0.758285	+	0.437796i	−0.828680	−	0.559723i	$-0.810907\pi$
$89$	−7.15365	+	4.13016i	−0.758285	+	0.437796i	0.0703946	+	0.997519i	$0.477574\pi$
$90$	0.508688	+	0.369583i	0.0536204	+	0.0389575i
$91$	8.20688	+	5.46665i	0.860315	+	0.573061i
$92$	−6.57510	−	20.2361i	−0.685501	−	2.10976i
$93$	6.83333	+	3.04239i	0.708583	+	0.315482i
$94$	−1.04070	−	9.90159i	−0.107340	−	1.02127i
$95$	−0.234433	+	1.10292i	−0.0240523	+	0.113157i
$96$	−15.0095	+	3.19037i	−1.53190	+	0.325616i
$97$	1.40251	−	1.93039i	0.142404	−	0.196002i	−0.731858	−	0.681458i	$-0.761346\pi$
$97$	1.40251	−	1.93039i	0.142404	−	0.196002i	0.874261	+	0.485456i	$0.161346\pi$
$98$	18.6765	+	0.435452i	1.88661	+	0.0439873i
$99$	−3.18616	+	0.921064i	−0.320222	+	0.0925704i
$100$	12.6640	+	21.9346i	1.26640	+	2.19346i
$101$	15.6287	−	6.95837i	1.55512	−	0.692383i	0.564050	−	0.825740i	$-0.309242\pi$
$101$	15.6287	−	6.95837i	1.55512	−	0.692383i	0.991068	+	0.133357i	$0.0425757\pi$
$102$	−6.86557	−	7.62499i	−0.679793	−	0.754986i
$103$	6.34825	+	5.71599i	0.625511	+	0.563213i	0.919743	−	0.392521i	$-0.128397\pi$
$103$	6.34825	+	5.71599i	0.625511	+	0.563213i	−0.294232	+	0.955734i	$0.595064\pi$
$104$	−18.2556	−	25.1267i	−1.79011	−	2.46388i
$105$	0.216589	+	0.584506i	0.0211369	+	0.0570419i
$106$	−16.1665	+	5.25281i	−1.57023	+	0.510198i
$107$	−1.16003	−	5.45749i	−0.112144	−	0.527596i	−0.997976	−	0.0635899i	$-0.979745\pi$
$107$	−1.16003	−	5.45749i	−0.112144	−	0.527596i	0.885832	−	0.464006i	$-0.153588\pi$
$108$	2.08349	+	4.67960i	0.200484	+	0.450294i
$109$	−10.0052	−	5.77649i	−0.958322	−	0.553287i	−0.0626655	−	0.998035i	$-0.519960\pi$
$109$	−10.0052	−	5.77649i	−0.958322	−	0.553287i	−0.895656	+	0.444747i	$0.853293\pi$
$110$	2.06573	+	0.285775i	0.196960	+	0.0272475i
$111$		−	4.19311i		−	0.397992i
$112$	−29.4925	−	11.7173i	−2.78678	−	1.10718i
$113$	−2.07188	+	6.37658i	−0.194906	+	0.599858i	0.805072	+	0.593177i	$0.202127\pi$
$113$	−2.07188	+	6.37658i	−0.194906	+	0.599858i	−0.999978	+	0.00668105i	$0.997873\pi$
$114$	−8.54648	+	9.49182i	−0.800451	+	0.888991i
$115$	0.973273	−	0.102295i	0.0907582	−	0.00953907i
$116$	−16.8610	+	1.77217i	−1.56551	+	0.164542i
$117$	−2.49389	+	2.76975i	−0.230561	+	0.256064i
$118$	2.11245	−	6.50146i	0.194467	−	0.598508i
$119$	−1.47402	−	10.0645i	−0.135123	−	0.922610i
$120$		−	1.96332i		−	0.179225i
$121$	−7.87968	+	7.67532i	−0.716335	+	0.697757i
$122$	16.4146	+	9.47698i	1.48611	+	0.858006i
$123$	−1.91657	−	4.30469i	−0.172811	−	0.388140i
$124$	−7.96635	−	37.4787i	−0.715399	−	3.36569i
$125$	−2.22827	+	0.724009i	−0.199303	+	0.0647573i
$126$	−1.18579	+	6.96068i	−0.105638	+	0.620107i
$127$	3.82996	+	5.27148i	0.339854	+	0.467768i	0.944399	−	0.328803i	$-0.106645\pi$
$127$	3.82996	+	5.27148i	0.339854	+	0.467768i	−0.604545	+	0.796571i	$0.706645\pi$
$128$	10.8357	+	9.75648i	0.957747	+	0.862359i
$129$	−7.12278	−	7.91065i	−0.627126	−	0.696494i
$130$	2.14087	−	0.953178i	0.187767	−	0.0835993i
$131$	−3.55659	−	6.16019i	−0.310740	−	0.538218i	0.667782	−	0.744357i	$-0.267244\pi$
$131$	−3.55659	−	6.16019i	−0.310740	−	0.538218i	−0.978523	+	0.206138i	$0.933910\pi$
$132$	13.4103	+	10.4307i	1.16721	+	0.907878i
$133$	−12.2681	+	3.13445i	−1.06378	+	0.271791i
$134$	16.9148	−	23.2812i	1.46121	−	2.01119i
$135$	−0.230453	+	0.0489844i	−0.0198343	+	0.00421591i
$136$	−6.66102	+	31.3377i	−0.571178	+	2.68718i
$137$	−0.0701072	−	0.667025i	−0.00598966	−	0.0569878i	0.991119	−	0.132979i	$-0.0424544\pi$
$137$	−0.0701072	−	0.667025i	−0.00598966	−	0.0569878i	−0.997108	+	0.0759916i	$0.975788\pi$
$138$	10.1271	+	4.50889i	0.862079	+	0.383822i
$139$	0.957979	+	2.94836i	0.0812548	+	0.250076i	0.983428	−	0.181296i	$-0.0580294\pi$
$139$	0.957979	+	2.94836i	0.0812548	+	0.250076i	−0.902174	+	0.431373i	$0.858029\pi$
$140$	1.77016	−	2.65747i	0.149605	−	0.224597i
$141$	3.01810	+	2.19278i	0.254170	+	0.184665i
$142$	−7.77623	+	4.48961i	−0.652567	+	0.376760i
$143$	−2.96457	+	12.0005i	−0.247910	+	1.00353i
$144$	5.99732	−	10.3877i	0.499777	−	0.865639i
$145$	0.0815089	−	0.775506i	0.00676895	−	0.0644022i
$146$	31.1640	+	10.1258i	2.57915	+	0.838016i
$147$	−4.80390	+	5.09142i	−0.396219	+	0.419933i
$148$	−17.3769	+	12.6250i	−1.42837	+	1.03777i
$149$	6.79720	−	15.2668i	0.556848	−	1.25070i	−0.387535	−	0.921855i	$-0.626673\pi$
$149$	6.79720	−	15.2668i	0.556848	−	1.25070i	0.944383	−	0.328847i	$-0.106660\pi$
$150$	−12.9075	−	2.74357i	−1.05389	−	0.224011i
$151$	2.48002	−	2.23302i	0.201821	−	0.181721i	−0.562022	−	0.827122i	$-0.689977\pi$
$151$	2.48002	−	2.23302i	0.201821	−	0.181721i	0.763844	+	0.645401i	$0.223310\pi$
$152$	39.6631	+	4.16876i	3.21710	+	0.338131i
$153$	3.84460			0.310817
$154$	7.41370	+	22.2141i	0.597413	+	1.79006i
$155$	1.76230			0.141552
$156$	18.9871	+	1.99563i	1.52019	+	0.159778i
$157$	14.5241	−	13.0775i	1.15915	−	1.04370i	0.160756	−	0.986994i	$-0.448607\pi$
$157$	14.5241	−	13.0775i	1.15915	−	1.04370i	0.998391	−	0.0567068i	$-0.0180600\pi$
$158$	28.6974	+	6.09983i	2.28305	+	0.485276i
$159$	2.59064	−	5.81868i	0.205452	−	0.461452i
$160$	−2.92482	+	2.12500i	−0.231227	+	0.167996i
$161$	5.87765	+	9.28598i	0.463224	+	0.731837i
$162$	−2.53817	−	0.824702i	−0.199418	−	0.0647947i
$163$	1.31520	−	12.5132i	0.103014	−	0.980113i	−0.813894	−	0.581014i	$-0.802656\pi$
$163$	1.31520	−	12.5132i	0.103014	−	0.980113i	0.916908	−	0.399099i	$-0.130677\pi$
$164$	−12.0687	+	20.9036i	−0.942405	+	1.63229i
$165$	−0.597504	+	0.503567i	−0.0465156	+	0.0392026i
$166$	−36.9493	+	21.3327i	−2.86782	+	1.65574i
$167$	−5.12519	−	3.72367i	−0.396599	−	0.288146i	0.371555	−	0.928411i	$-0.378825\pi$
$167$	−5.12519	−	3.72367i	−0.396599	−	0.288146i	−0.768154	+	0.640265i	$0.778825\pi$
$168$	19.7598	−	9.77973i	1.52450	−	0.754523i
$169$	0.275343	+	0.847418i	0.0211802	+	0.0651860i
$170$	−2.20839	−	0.983236i	−0.169375	−	0.0754108i
$171$	−0.500260	−	4.75966i	−0.0382558	−	0.363980i
$172$	−11.3369	+	53.3361i	−0.864434	+	4.06684i
$173$	3.32600	−	0.706964i	0.252871	−	0.0537495i	−0.0797318	−	0.996816i	$-0.525406\pi$
$173$	3.32600	−	0.706964i	0.252871	−	0.0537495i	0.332603	+	0.943067i	$0.392073\pi$
$174$	5.19189	−	7.14602i	0.393596	−	0.541739i
$175$	−9.14185	−	9.35748i	−0.691059	−	0.707359i
$176$	1.30256	−	39.7604i	0.0981839	−	2.99705i
$177$	1.28074	+	2.21830i	0.0962661	+	0.166738i
$178$	−20.1392	+	8.96654i	−1.50950	+	0.672071i
$179$	−7.93608	−	8.81391i	−0.593170	−	0.658782i	0.369572	−	0.929202i	$-0.379504\pi$
$179$	−7.93608	−	8.81391i	−0.593170	−	0.658782i	−0.962743	+	0.270420i	$0.912838\pi$
$180$	0.896872	+	0.807547i	0.0668489	+	0.0601910i
$181$	−3.36941	−	4.63759i	−0.250446	−	0.344710i	0.665221	−	0.746646i	$-0.268337\pi$
$181$	−3.36941	−	4.63759i	−0.250446	−	0.344710i	−0.915668	+	0.401937i	$0.868337\pi$
$182$	20.2575	+	16.7989i	1.50158	+	1.24522i
$183$	−6.75447	+	2.19466i	−0.499305	+	0.162234i
$184$	−7.19667	−	33.8577i	−0.530546	−	2.49602i
$185$	−0.401817	−	0.902495i	−0.0295422	−	0.0663528i
$186$	17.2881	+	9.98130i	1.26763	+	0.731864i
$187$	11.2456	−	6.01056i	0.822360	−	0.439535i
$188$		−	19.1097i		−	1.39372i
$189$	−1.64095	−	2.07540i	−0.119361	−	0.150963i
$190$	−0.929902	+	2.86195i	−0.0674622	+	0.207627i
$191$	−11.6838	+	12.9762i	−0.845411	+	0.938924i	−0.998787	−	0.0492440i	$-0.984319\pi$
$191$	−11.6838	+	12.9762i	−0.845411	+	0.938924i	0.153376	+	0.988168i	$0.450985\pi$
$192$	−16.8700	+	1.77311i	−1.21749	+	0.127963i
$193$	−12.3582	+	1.29889i	−0.889560	+	0.0934965i	−0.538272	−	0.842771i	$-0.680923\pi$
$193$	−12.3582	+	1.29889i	−0.889560	+	0.0934965i	−0.351288	+	0.936268i	$0.614256\pi$
$194$	4.26102	−	4.73235i	0.305924	−	0.339763i
$195$	−0.271349	+	0.835127i	−0.0194317	+	0.0598047i
$196$	35.5637	+	4.57830i	2.54026	+	0.327022i
$197$			9.04921i			0.644729i	0.946616	+	0.322365i	$0.104478\pi$
$197$			9.04921i			0.644729i	−0.946616	+	0.322365i	$0.895522\pi$
$198$	−8.71358	+	1.55584i	−0.619247	+	0.110568i
$199$	−3.64229	−	2.10288i	−0.258195	−	0.149069i	0.365316	−	0.930884i	$-0.380961\pi$
$199$	−3.64229	−	2.10288i	−0.258195	−	0.149069i	−0.623511	+	0.781815i	$0.714294\pi$
$200$	16.7589	+	37.6412i	1.18503	+	2.66163i
$201$	2.24188	+	10.5472i	0.158130	+	0.743942i
$202$	43.4225	−	14.1088i	3.05520	−	0.992694i
$203$	8.21111	−	3.04263i	0.576307	−	0.213550i
$204$	−11.5757	−	15.9326i	−0.810462	−	1.11551i
$205$	−0.825018	−	0.742850i	−0.0576218	−	0.0518829i
$206$	15.2548	+	16.9422i	1.06285	+	1.18042i
$207$	−3.79465	+	1.68949i	−0.263746	+	0.117427i
$208$	−22.3524	−	38.7155i	−1.54986	−	2.68444i
$209$	−8.90442	−	13.1401i	−0.615932	−	0.908919i
$210$	0.411807	+	1.61180i	0.0284174	+	0.111225i
$211$	11.8736	−	16.3426i	0.817414	−	1.12507i	−0.172723	−	0.984970i	$-0.555256\pi$
$211$	11.8736	−	16.3426i	0.817414	−	1.12507i	0.990137	−	0.140104i	$-0.0447435\pi$
$212$	−31.9137	+	6.78347i	−2.19184	+	0.465890i
$213$	0.699524	−	3.29100i	0.0479306	−	0.225496i
$214$	−1.55646	−	14.8087i	−0.106397	−	1.01230i
$215$	−2.29112	−	1.02007i	−0.156253	−	0.0695683i
$216$	2.57510	+	7.92533i	0.175213	+	0.539251i
$217$	8.77845	+	17.7368i	0.595920	+	1.20405i
$218$	−24.9440	−	18.1229i	−1.68942	−	1.22744i
$219$	−10.6332	+	6.13905i	−0.718522	+	0.414839i
$220$	3.88589	+	0.959958i	0.261986	+	0.0647203i
$221$	7.16454	−	12.4093i	0.481939	−	0.834743i
$222$	1.16973	−	11.1292i	0.0785071	−	0.746945i
$223$	−14.7252	−	4.78452i	−0.986075	−	0.320395i	−0.228787	−	0.973477i	$-0.573476\pi$
$223$	−14.7252	−	4.78452i	−0.986075	−	0.320395i	−0.757288	+	0.653081i	$0.773476\pi$
$224$	−35.9564	−	18.8518i	−2.40244	−	1.25959i
$225$	4.00018	−	2.90630i	0.266679	−	0.193753i
$226$	−7.27796	+	16.3466i	−0.484123	+	1.08736i
$227$	−23.0692	−	4.90350i	−1.53115	−	0.325457i	−0.636168	−	0.771551i	$-0.719481\pi$
$227$	−23.0692	−	4.90350i	−1.53115	−	0.325457i	−0.894986	+	0.446094i	$0.852815\pi$
$228$	−18.2185	+	16.4040i	−1.20655	+	1.08638i
$229$	−13.1802	−	1.38530i	−0.870975	−	0.0915431i	−0.341513	−	0.939877i	$-0.610939\pi$
$229$	−13.1802	−	1.38530i	−0.870975	−	0.0915431i	−0.529462	+	0.848334i	$0.677606\pi$
$230$	2.61177			0.172215
$231$	−8.04447	−	3.50521i	−0.529287	−	0.230626i
$232$	−27.5806			−1.81075
$233$	17.0190	+	1.78877i	1.11495	+	0.117186i	0.644038	−	0.764994i	$-0.277258\pi$
$233$	17.0190	+	1.78877i	1.11495	+	0.117186i	0.470913	+	0.882180i	$0.343925\pi$
$234$	−7.39189	+	6.65569i	−0.483223	+	0.435096i
$235$	0.859724	+	0.182740i	0.0560822	+	0.0119206i
$236$	5.33680	−	11.9867i	0.347396	−	0.780265i
$237$	−8.89368	+	6.46164i	−0.577707	+	0.419729i
$238$	−1.10467	−	27.1241i	−0.0716054	−	1.75819i
$239$	−7.85731	−	2.55299i	−0.508247	−	0.165139i	0.0436578	−	0.999047i	$-0.486099\pi$
$239$	−7.85731	−	2.55299i	−0.508247	−	0.165139i	−0.551905	+	0.833907i	$0.686099\pi$
$240$	0.295393	−	2.81048i	0.0190676	−	0.181416i
$241$	−12.9495	+	22.4291i	−0.834148	+	1.44479i	0.0605740	+	0.998164i	$0.480707\pi$
$241$	−12.9495	+	22.4291i	−0.834148	+	1.44479i	−0.894722	+	0.446623i	$0.852626\pi$
$242$	−23.0552	+	18.1735i	−1.48204	+	1.16824i
$243$	0.866025	−	0.500000i	0.0555556	−	0.0320750i
$244$	29.4321	+	21.3837i	1.88420	+	1.36895i
$245$	−0.546057	+	1.55619i	−0.0348863	+	0.0994213i
$246$	−3.88605	−	11.9600i	−0.247766	−	0.762544i
$247$	−16.2952	−	7.25507i	−1.03684	−	0.461629i
$248$	−6.51550	−	61.9909i	−0.413735	−	3.93642i
$249$	3.32384	−	15.6374i	0.210639	−	0.990981i
$250$	−6.11619	+	1.30004i	−0.386822	+	0.0822215i
$251$	8.94180	−	12.3073i	0.564402	−	0.776832i	−0.427476	−	0.904027i	$-0.640597\pi$
$251$	8.94180	−	12.3073i	0.564402	−	0.776832i	0.991878	+	0.127194i	$0.0405972\pi$
$252$	−3.66005	+	13.0492i	−0.230561	+	0.822021i
$253$	−8.45819	+	10.8743i	−0.531762	+	0.683660i
$254$	8.69481	+	15.0598i	0.545561	+	0.944939i
$255$	0.827485	−	0.368420i	0.0518191	−	0.0230713i
$256$	3.33722	+	3.70636i	0.208576	+	0.231647i
$257$	−15.3866	−	13.8542i	−0.959793	−	0.864201i	0.0310097	−	0.999519i	$-0.490128\pi$
$257$	−15.3866	−	13.8542i	−0.959793	−	0.864201i	−0.990802	+	0.135318i	$0.956794\pi$
$258$	−16.6983	−	22.9832i	−1.03959	−	1.43087i
$259$	7.08164	−	8.53964i	0.440032	−	0.530627i
$260$	4.27790	−	1.38997i	0.265304	−	0.0862025i
$261$	0.688130	+	3.23740i	0.0425942	+	0.200390i
$262$	−7.72132	−	17.3424i	−0.477025	−	1.07142i
$263$	13.0755	+	7.54913i	0.806269	+	0.465500i	0.845658	−	0.533724i	$-0.179208\pi$
$263$	13.0755	+	7.54913i	0.806269	+	0.465500i	−0.0393896	+	0.999224i	$0.512541\pi$
$264$	19.9225	+	19.1561i	1.22615	+	1.17897i
$265$		−	1.50063i		−	0.0921829i
$266$	−33.4362	+	4.89699i	−2.05010	+	0.300254i
$267$	2.55258	−	7.85603i	0.156215	−	0.480781i
$268$	36.9591	−	41.0473i	2.25764	−	2.50736i
$269$	17.8171	−	1.87265i	1.08633	−	0.114178i	0.455602	−	0.890184i	$-0.349424\pi$
$269$	17.8171	−	1.87265i	1.08633	−	0.114178i	0.630726	+	0.776006i	$0.282757\pi$
$270$	−0.625328	+	0.0657247i	−0.0380563	+	0.00399987i
$271$	−8.07525	+	8.96847i	−0.490536	+	0.544796i	−0.936690	−	0.350161i	$-0.886127\pi$
$271$	−8.07525	+	8.96847i	−0.490536	+	0.544796i	0.446153	+	0.894957i	$0.352794\pi$
$272$	−14.2502	+	43.8576i	−0.864045	+	2.65926i
$273$	−9.75681	+	1.42896i	−0.590509	+	0.0864847i
$274$		−	1.78996i		−	0.108135i
$275$	7.15703	−	14.7548i	0.431585	−	0.889749i
$276$	18.4268	+	10.6387i	1.10916	+	0.640376i
$277$	−0.0538320	−	0.120909i	−0.00323445	−	0.00726470i	0.911921	−	0.410366i	$-0.134599\pi$
$277$	−0.0538320	−	0.120909i	−0.00323445	−	0.00726470i	−0.915155	+	0.403101i	$0.867932\pi$
$278$	1.72016	+	8.09269i	0.103168	+	0.485368i
$279$	−7.11391	+	2.31145i	−0.425899	+	0.138383i
$280$	3.31580	−	3.99847i	0.198157	−	0.238954i
$281$	14.8622	+	20.4561i	0.886607	+	1.22031i	0.974547	+	0.224184i	$0.0719716\pi$
$281$	14.8622	+	20.4561i	0.886607	+	1.22031i	−0.0879401	+	0.996126i	$0.528028\pi$
$282$	7.39885	+	6.66195i	0.440595	+	0.396713i
$283$	10.7025	+	11.8864i	0.636200	+	0.706572i	0.971899	−	0.235397i	$-0.0756392\pi$
$283$	10.7025	+	11.8864i	0.636200	+	0.706572i	−0.335699	+	0.941969i	$0.608973\pi$
$284$	−15.7446	+	7.00995i	−0.934271	+	0.415964i
$285$	−0.563781	−	0.976497i	−0.0333955	−	0.0578427i
$286$	−11.2162	+	31.0245i	−0.663229	+	1.83451i
$287$	3.36682	−	12.0037i	0.198737	−	0.708558i
$288$	9.01947	−	12.4142i	0.531477	−	0.731516i
$289$	2.17058	−	0.461370i	0.127681	−	0.0271394i
$290$	0.432678	−	2.03559i	0.0254077	−	0.119534i
$291$	0.249415	+	2.37303i	0.0146210	+	0.139109i
$292$	57.4566	+	25.5813i	3.36239	+	1.49703i
$293$	4.87645	+	15.0082i	0.284885	+	0.876786i	0.986433	+	0.164164i	$0.0524926\pi$
$293$	4.87645	+	15.0082i	0.284885	+	0.876786i	−0.701548	+	0.712622i	$0.747507\pi$
$294$	−14.1707	+	12.1734i	−0.826452	+	0.709967i
$295$	0.488232	+	0.354721i	0.0284260	+	0.0206527i
$296$	−30.2606	+	17.4710i	−1.75886	+	1.01548i
$297$	1.75147	−	2.81644i	0.101631	−	0.163427i
$298$	22.2998	−	38.6244i	1.29179	−	2.23745i
$299$	−1.61824	+	15.3965i	−0.0935853	+	0.890405i
$300$	−24.0883	−	7.82676i	−1.39074	−	0.451878i
$301$	−1.14606	−	28.1402i	−0.0660578	−	1.62198i
$302$	7.20534	−	5.23499i	0.414621	−	0.301240i
$303$	−6.95837	+	15.6287i	−0.399748	+	0.897848i
$304$	56.1504	+	11.9351i	3.22045	+	0.684527i
$305$	−1.24348	+	1.11963i	−0.0712012	+	0.0641099i
$306$	10.2042	+	1.07251i	0.583337	+	0.0613112i
$307$	−25.7813			−1.47142			−0.735709	−	0.677298i	$-0.763151\pi$
$307$	−25.7813			−1.47142			−0.735709	+	0.677298i	$0.763151\pi$
$308$	9.69499	+	43.8914i	0.552423	+	2.50094i
$309$	−8.54241			−0.485961
$310$	4.67746	+	0.491621i	0.265662	+	0.0279222i
$311$	12.5692	−	11.3173i	0.712731	−	0.641746i	−0.230811	−	0.972999i	$-0.574138\pi$
$311$	12.5692	−	11.3173i	0.712731	−	0.641746i	0.943542	+	0.331252i	$0.107471\pi$
$312$	30.3797	+	6.45739i	1.71991	+	0.365578i
$313$	0.660891	−	1.48439i	0.0373558	−	0.0839024i	−0.893904	−	0.448259i	$-0.852044\pi$
$313$	0.660891	−	1.48439i	0.0373558	−	0.0839024i	0.931260	+	0.364356i	$0.118711\pi$
$314$	42.1976	−	30.6583i	2.38135	−	1.73015i
$315$	−0.552068	−	0.289447i	−0.0311055	−	0.0163085i
$316$	53.5561	+	17.4014i	3.01276	+	0.978906i
$317$	3.01182	−	28.6555i	0.169161	−	1.60946i	−0.499789	−	0.866147i	$-0.666589\pi$
$317$	3.01182	−	28.6555i	0.169161	−	1.60946i	0.668949	−	0.743308i	$-0.266744\pi$
$318$	8.49923	−	14.7211i	0.476613	−	0.825518i
$319$	7.07408	+	8.39371i	0.396073	+	0.469957i
$320$	−3.46107	+	1.99825i	−0.193480	+	0.111705i
$321$	4.51384	+	3.27950i	0.251938	+	0.183044i
$322$	13.0098	+	26.2862i	0.725010	+	1.46488i
$323$	5.68584	+	17.4992i	0.316369	+	0.973682i
$324$	−4.67960	−	2.08349i	−0.259978	−	0.115749i
$325$	−1.92630	−	18.3275i	−0.106852	−	1.01663i
$326$	6.98151	−	32.8454i	0.386670	−	1.81914i
$327$	11.3005	−	2.40200i	0.624920	−	0.132831i
$328$	−23.0803	+	31.7673i	−1.27440	+	1.75406i
$329$	2.44329	+	9.56298i	0.134703	+	0.527224i
$330$	−1.72636	+	1.16987i	−0.0950328	+	0.0643993i
$331$	5.43171	+	9.40800i	0.298554	+	0.517110i	0.975805	−	0.218641i	$-0.0701624\pi$
$331$	5.43171	+	9.40800i	0.298554	+	0.517110i	−0.677252	+	0.735752i	$0.736829\pi$
$332$	−74.8116	+	33.3083i	−4.10582	+	1.82803i
$333$	2.80574	+	3.11609i	0.153753	+	0.170760i
$334$	−12.5644	−	11.3130i	−0.687492	−	0.619021i
$335$	1.49324	+	2.05527i	0.0815845	+	0.112291i
$336$	29.7576	−	11.0267i	1.62341	−	0.601554i
$337$	9.81536	−	3.18920i	0.534677	−	0.173727i	−0.0292190	−	0.999573i	$-0.509302\pi$
$337$	9.81536	−	3.18920i	0.534677	−	0.173727i	0.563896	+	0.825846i	$0.309302\pi$
$338$	0.494408	+	2.32601i	0.0268922	+	0.126518i
$339$	−2.72706	−	6.12508i	−0.148114	−	0.332669i
$340$	−4.01827	−	2.31995i	−0.217921	−	0.125817i
$341$	−17.1948	+	17.8828i	−0.931150	+	0.968408i
$342$		−	12.7725i		−	0.690658i
$343$	−18.3823	+	2.25594i	−0.992554	+	0.121809i
$344$	−27.4115	+	84.3638i	−1.47793	+	4.54859i
$345$	−0.654834	+	0.727267i	−0.0352551	+	0.0391547i
$346$	9.02501	−	0.948567i	0.485187	−	0.0509953i
$347$	−10.9575	+	1.15168i	−0.588228	+	0.0618252i	−0.393967	−	0.919125i	$-0.628898\pi$
$347$	−10.9575	+	1.15168i	−0.588228	+	0.0618252i	−0.194261	+	0.980950i	$0.562231\pi$
$348$	11.3444	−	12.5992i	0.608123	−	0.675389i
$349$	−0.323865	+	0.996755i	−0.0173361	+	0.0533551i	−0.959350	−	0.282218i	$-0.908930\pi$
$349$	−0.323865	+	0.996755i	−0.0173361	+	0.0533551i	0.942014	+	0.335573i	$0.108930\pi$
$350$	−21.6537	−	27.3866i	−1.15744	−	1.46388i
$351$		−	3.72707i		−	0.198936i
$352$	6.97417	−	50.4130i	0.371724	−	2.68702i
$353$	3.64157	+	2.10246i	0.193821	+	0.111903i	0.593770	−	0.804635i	$-0.297639\pi$
$353$	3.64157	+	2.10246i	0.193821	+	0.111903i	−0.399949	+	0.916537i	$0.630972\pi$
$354$	2.78047	+	6.24503i	0.147780	+	0.331920i
$355$	−0.164809	−	0.775366i	−0.00874716	−	0.0411522i
$356$	−40.2422	+	13.0755i	−2.13283	+	0.692999i
$357$	7.82986	+	6.49305i	0.414400	+	0.343649i
$358$	−18.6050	−	25.6075i	−0.983302	−	1.35340i
$359$	−4.14801	−	3.73489i	−0.218924	−	0.197120i	0.552370	−	0.833599i	$-0.313723\pi$
$359$	−4.14801	−	3.73489i	−0.218924	−	0.197120i	−0.771294	+	0.636479i	$0.780390\pi$
$360$	1.31371	+	1.45903i	0.0692388	+	0.0768975i
$361$	3.56702	−	1.58814i	0.187738	−	0.0835863i
$362$	−7.64927	−	13.2489i	−0.402037	−	0.696348i
$363$	0.719951	−	10.9764i	0.0377876	−	0.576112i
$364$	35.2986	+	36.1312i	1.85015	+	1.89379i
$365$	−1.70031	+	2.34028i	−0.0889985	+	0.122496i
$366$	−18.5398	+	3.94075i	−0.969090	+	0.205986i
$367$	−1.30047	+	6.11823i	−0.0678839	+	0.319369i	−0.998967	−	0.0454380i	$-0.985532\pi$
$367$	−1.30047	+	6.11823i	−0.0678839	+	0.319369i	0.931083	+	0.364807i	$0.118865\pi$
$368$	−5.20791	−	49.5500i	−0.271481	−	2.58297i
$369$	4.30469	+	1.91657i	0.224093	+	0.0997726i
$370$	−0.814727	−	2.50747i	−0.0423556	−	0.130357i
$371$	15.1031	−	7.47498i	0.784115	−	0.388082i
$372$	30.9983	+	22.5216i	1.60719	+	1.16769i
$373$	−8.39019	+	4.84408i	−0.434427	+	0.250817i	−0.701231	−	0.712934i	$-0.747366\pi$
$373$	−8.39019	+	4.84408i	−0.434427	+	0.250817i	0.266804	+	0.963751i	$0.414033\pi$
$374$	31.5245	−	12.8159i	1.63009	−	0.662696i
$375$	1.17147	−	2.02905i	0.0604945	−	0.104780i
$376$	3.24954	−	30.9173i	0.167582	−	1.59444i
$377$	11.7318	+	3.81190i	0.604219	+	0.196323i
$378$	−3.77639	−	5.96624i	−0.194237	−	0.306870i
$379$	−6.65607	+	4.83592i	−0.341899	+	0.248404i	−0.745463	−	0.666547i	$-0.767771\pi$
$379$	−6.65607	+	4.83592i	−0.341899	+	0.248404i	0.403564	+	0.914952i	$0.367771\pi$
$380$	−2.34926	+	5.27653i	−0.120515	+	0.270680i
$381$	−6.37352	−	1.35473i	−0.326525	−	0.0694051i
$382$	−34.6308	+	31.1817i	−1.77186	+	1.59539i
$383$	6.98093	+	0.733726i	0.356709	+	0.0374916i	0.281188	−	0.959653i	$-0.409271\pi$
$383$	6.98093	+	0.733726i	0.356709	+	0.0374916i	0.0755207	+	0.997144i	$0.475938\pi$
$384$	−14.5808			−0.744075
$385$	−2.06733	+	0.0164476i	−0.105361	+	0.000838248i
$386$	−33.1630			−1.68795
$387$	10.5865	+	1.11269i	0.538143	+	0.0565611i
$388$	9.08322	−	8.17857i	0.461131	−	0.415204i
$389$	5.18263	+	1.10160i	0.262770	+	0.0558534i	0.337413	−	0.941357i	$-0.390448\pi$
$389$	5.18263	+	1.10160i	0.262770	+	0.0558534i	−0.0746427	+	0.997210i	$0.523782\pi$
$390$	−0.953178	+	2.14087i	−0.0482661	+	0.108407i
$391$	12.9196	−	9.38666i	0.653374	−	0.474704i
$392$	56.7594	+	13.4546i	2.86678	+	0.679562i
$393$	6.76503	+	2.19809i	0.341251	+	0.110879i
$394$	−2.52441	+	24.0182i	−0.127178	+	1.21002i
$395$	−1.29501	+	2.24302i	−0.0651590	+	0.112859i
$396$	−16.9453	+	1.22168i	−0.851532	+	0.0613919i
$397$	9.21969	−	5.32299i	0.462723	−	0.267153i	−0.250465	−	0.968126i	$-0.580584\pi$
$397$	9.21969	−	5.32299i	0.462723	−	0.267153i	0.713189	+	0.700972i	$0.247250\pi$
$398$	−9.08065	−	6.59747i	−0.455172	−	0.330702i
$399$	7.01965	−	10.5383i	0.351422	−	0.527577i
$400$	18.3270	+	56.4047i	0.916350	+	2.82023i
$401$	−3.39006	−	1.50935i	−0.169291	−	0.0753733i	0.320341	−	0.947302i	$-0.396202\pi$
$401$	−3.39006	−	1.50935i	−0.169291	−	0.0753733i	−0.489633	+	0.871929i	$0.662869\pi$
$402$	3.00803	+	28.6195i	0.150027	+	1.42741i
$403$	−5.79626	+	27.2693i	−0.288733	+	1.35838i
$404$	85.7189	−	18.2201i	4.26467	−	0.906485i
$405$	0.138483	−	0.190606i	0.00688129	−	0.00947129i
$406$	22.6425	−	5.78505i	1.12373	−	0.287107i
$407$	13.0785	+	4.72825i	0.648277	+	0.234371i
$408$	−16.0189	−	27.7455i	−0.793053	−	1.37361i
$409$	21.8354	−	9.72176i	1.07969	−	0.480710i	0.211724	−	0.977329i	$-0.432092\pi$
$409$	21.8354	−	9.72176i	1.07969	−	0.480710i	0.867969	+	0.496619i	$0.165425\pi$
$410$	−1.98251	−	2.20180i	−0.0979093	−	0.108739i
$411$	0.498427	+	0.448786i	0.0245856	+	0.0221370i
$412$	25.7204	+	35.4010i	1.26715	+	1.74408i
$413$	−1.13810	+	6.68077i	−0.0560024	+	0.328739i
$414$	−10.5430	+	3.42562i	−0.518159	+	0.168360i
$415$	−0.783102	−	3.68421i	−0.0384410	−	0.180851i
$416$	−23.2618	−	52.2468i	−1.14050	−	2.56161i
$417$	−2.68475	−	1.55004i	−0.131473	−	0.0759059i
$418$	−19.9682	−	37.3601i	−0.976679	−	1.82734i
$419$			25.9740i			1.26891i	0.772958	+	0.634457i	$0.218776\pi$
$419$			25.9740i			1.26891i	−0.772958	+	0.634457i	$0.781224\pi$
$420$	0.462712	+	3.15935i	0.0225780	+	0.154160i
$421$	−1.84742	+	5.68577i	−0.0900377	+	0.277108i	−0.985929	−	0.167166i	$-0.946538\pi$
$421$	−1.84742	+	5.68577i	−0.0900377	+	0.277108i	0.895891	+	0.444274i	$0.146538\pi$
$422$	36.0737	−	40.0639i	1.75604	−	1.95028i
$423$	−3.71014	+	0.389951i	−0.180393	+	0.0189601i
$424$	−52.7862	+	5.54805i	−2.56352	+	0.269437i
$425$	−12.7199	+	14.1269i	−0.617005	+	0.685254i
$426$	2.77473	−	8.53974i	0.134436	−	0.413752i
$427$	−17.4626	−	6.93785i	−0.845074	−	0.335746i
$428$		−	28.5803i		−	1.38148i
$429$	−5.82681	−	10.9018i	−0.281321	−	0.526345i
$430$	−5.79646	−	3.34659i	−0.279530	−	0.161387i
$431$	−4.28461	−	9.62339i	−0.206382	−	0.463542i	0.780465	−	0.625200i	$-0.214983\pi$
$431$	−4.28461	−	9.62339i	−0.206382	−	0.463542i	−0.986847	+	0.161658i	$0.948316\pi$
$432$	2.49383	+	11.7325i	0.119984	+	0.564482i
$433$	−8.64573	+	2.80917i	−0.415487	+	0.135000i	−0.509298	−	0.860590i	$-0.670095\pi$
$433$	−8.64573	+	2.80917i	−0.415487	+	0.135000i	0.0938112	+	0.995590i	$0.470095\pi$
$434$	18.3516	+	49.5253i	0.880905	+	2.37729i
$435$	0.458342	+	0.630853i	0.0219758	+	0.0302471i
$436$	−43.9790	−	39.5989i	−2.10621	−	1.89644i
$437$	−13.3019	−	14.7733i	−0.636316	−	0.706701i
$438$	−29.9348	+	13.3278i	−1.43034	+	0.636829i
$439$	11.2092	+	19.4150i	0.534988	+	0.926626i	0.999164	+	0.0408831i	$0.0130171\pi$
$439$	11.2092	+	19.4150i	0.534988	+	0.926626i	−0.464176	+	0.885743i	$0.653650\pi$
$440$	6.12368	+	2.21388i	0.291935	+	0.105543i
$441$	0.163164	−	6.99810i	0.00776973	−	0.333243i
$442$	22.4777	−	30.9379i	1.06915	−	1.47157i
$443$	31.3450	−	6.66258i	1.48925	−	0.316549i	0.609802	−	0.792553i	$-0.291249\pi$
$443$	31.3450	−	6.66258i	1.48925	−	0.316549i	0.879443	+	0.476005i	$0.157915\pi$
$444$	4.46574	−	21.0096i	0.211934	−	0.997073i
$445$	−0.203428	−	1.93549i	−0.00964340	−	0.0917509i
$446$	−37.7486	−	16.8068i	−1.78745	−	0.795823i
$447$	5.16415	+	15.8936i	0.244256	+	0.751743i
$448$	−37.3518	−	24.8803i	−1.76471	−	1.17548i
$449$	14.8444	+	10.7851i	0.700549	+	0.508979i	0.880111	−	0.474768i	$-0.157468\pi$
$449$	14.8444	+	10.7851i	0.700549	+	0.508979i	−0.179562	+	0.983747i	$0.557468\pi$
$450$	11.4279	−	6.59791i	0.538717	−	0.311029i
$451$	15.5877	−	1.12381i	0.733996	−	0.0529180i
$452$	−17.1724	+	29.7434i	−0.807719	+	1.39901i
$453$	−0.348832	+	3.31892i	−0.0163896	+	0.155936i
$454$	−59.8616	−	19.4502i	−2.80945	−	0.912844i
$455$	−1.96305	+	1.24253i	−0.0920293	+	0.0582509i
$456$	−32.2649	+	23.4418i	−1.51094	+	1.09776i
$457$	−4.07074	+	9.14304i	−0.190421	+	0.427693i	−0.983374	−	0.181589i	$-0.941876\pi$
$457$	−4.07074	+	9.14304i	−0.190421	+	0.427693i	0.792953	+	0.609283i	$0.208542\pi$
$458$	−34.5962	−	7.35365i	−1.61657	−	0.343613i
$459$	−2.85709	+	2.57254i	−0.133358	+	0.120076i
$460$	4.98555	+	0.524002i	0.232452	+	0.0244317i
$461$	−6.49015			−0.302276			−0.151138	−	0.988513i	$-0.548294\pi$
$461$	−6.49015			−0.302276			−0.151138	+	0.988513i	$0.548294\pi$
$462$	−20.3736	−	11.5476i	−0.947865	−	0.537241i
$463$	6.25854			0.290859			0.145429	−	0.989369i	$-0.453544\pi$
$463$	6.25854			0.290859			0.145429	+	0.989369i	$0.453544\pi$
$464$	−39.4815	−	4.14967i	−1.83288	−	0.192644i
$465$	−1.30965	+	1.17921i	−0.0607334	+	0.0546846i
$466$	44.6723	+	9.49539i	2.06940	+	0.439866i
$467$	9.52743	−	21.3990i	0.440877	−	0.990226i	−0.547304	−	0.836934i	$-0.684346\pi$
$467$	9.52743	−	21.3990i	0.440877	−	0.990226i	0.988181	−	0.153292i	$-0.0489875\pi$
$468$	−15.4455	+	11.2218i	−0.713970	+	0.518730i
$469$	−13.2471	+	25.2666i	−0.611696	+	1.16670i
$470$	2.23088	+	0.724856i	0.102903	+	0.0334351i
$471$	−2.04291	+	19.4370i	−0.0941324	+	0.895610i
$472$	10.6726	−	18.4855i	0.491247	−	0.850865i
$473$	32.7055	−	13.2961i	1.50380	−	0.611354i
$474$	−25.4079	+	14.6693i	−1.16703	+	0.673782i
$475$	19.1443	+	13.9092i	0.878403	+	0.638197i
$476$	3.33324	−	51.9981i	0.152779	−	2.38333i
$477$	1.96824	+	6.05760i	0.0901193	+	0.277359i
$478$	−20.1425	−	8.96800i	−0.921295	−	0.410187i
$479$	2.44004	+	23.2154i	0.111488	+	1.06074i	0.897041	+	0.441946i	$0.145712\pi$
$479$	2.44004	+	23.2154i	0.111488	+	1.06074i	−0.785553	+	0.618794i	$0.787621\pi$
$480$	0.751658	−	3.53627i	0.0343083	−	0.161408i
$481$	15.2865	−	3.24924i	0.697004	−	0.148153i
$482$	−40.6270	+	55.9183i	−1.85051	+	2.54701i
$483$	−10.5815	−	2.96791i	−0.481474	−	0.135044i
$484$	−47.6557	+	30.0653i	−2.16617	+	1.36661i
$485$	0.281085	+	0.486853i	0.0127634	+	0.0221068i
$486$	2.43806	−	1.08550i	0.110593	−	0.0492391i
$487$	26.1124	+	29.0007i	1.18326	+	1.31415i	0.938789	+	0.344492i	$0.111949\pi$
$487$	26.1124	+	29.0007i	1.18326	+	1.31415i	0.244475	+	0.969656i	$0.421384\pi$
$488$	43.9815	+	39.6011i	1.99095	+	1.79266i
$489$	7.39562	+	10.1792i	0.334441	+	0.460319i
$490$	−1.88345	+	3.97807i	−0.0850857	+	0.179711i
$491$	3.59074	−	1.16670i	0.162048	−	0.0526525i	−0.226870	−	0.973925i	$-0.572849\pi$
$491$	3.59074	−	1.16670i	0.162048	−	0.0526525i	0.388917	+	0.921273i	$0.372849\pi$
$492$	−5.01844	−	23.6099i	−0.226249	−	1.06442i
$493$	−5.17554	−	11.6245i	−0.233095	−	0.523539i
$494$	−41.2263	−	23.8020i	−1.85486	−	1.07090i
$495$	0.107080	−	0.774032i	0.00481289	−	0.0347901i
$496$		−	89.7200i		−	4.02855i
$497$	6.98274	−	5.52101i	0.313219	−	0.247651i
$498$	13.1843	−	40.5772i	0.590804	−	1.81831i
$499$	16.5867	−	18.4214i	0.742524	−	0.824656i	−0.247002	−	0.969015i	$-0.579445\pi$
$499$	16.5867	−	18.4214i	0.742524	−	0.824656i	0.989525	+	0.144359i	$0.0461120\pi$
$500$	−11.9359	+	1.25451i	−0.533788	+	0.0561034i
$501$	6.30038	−	0.662197i	0.281480	−	0.0295848i
$502$	27.1664	−	30.1714i	1.21250	−	1.34661i
$503$	−13.6237	+	41.9294i	−0.607450	+	1.86954i	−0.128469	+	0.991714i	$0.541006\pi$
$503$	−13.6237	+	41.9294i	−0.607450	+	1.86954i	−0.478981	+	0.877825i	$0.658994\pi$
$504$	−8.14050	+	20.4897i	−0.362607	+	0.912682i
$505$			4.03063i			0.179361i
$506$	−25.4831	+	26.5027i	−1.13286	+	1.17819i
$507$	−0.771653	−	0.445514i	−0.0342703	−	0.0197860i
$508$	13.5758	+	30.4918i	0.602330	+	1.35286i
$509$	−4.42155	−	20.8018i	−0.195982	−	0.922022i	−0.960685	−	0.277640i	$-0.910448\pi$
$509$	−4.42155	−	20.8018i	−0.195982	−	0.922022i	0.764703	−	0.644382i	$-0.222885\pi$
$510$	2.29906	−	0.747011i	0.101804	−	0.0330782i
$511$	−32.0235	−	5.45536i	−1.41664	−	0.241331i
$512$	−9.31719	−	12.8240i	−0.411765	−	0.566747i
$513$	3.55660	+	3.20237i	0.157028	+	0.141388i
$514$	−36.9740	−	41.0638i	−1.63085	−	1.81125i
$515$	−1.83861	+	0.818601i	−0.0810188	+	0.0360719i
$516$	−27.2638	−	47.2223i	−1.20022	−	2.07885i
$517$	−10.2427	+	6.94097i	−0.450471	+	0.305263i
$518$	21.1782	−	20.6901i	0.930515	−	0.909073i
$519$	−1.99865	+	2.75091i	−0.0877311	+	0.120751i
$520$	7.15750	−	1.52137i	0.313877	−	0.0667167i
$521$	−8.57517	+	40.3430i	−0.375685	+	1.76746i	0.231436	+	0.972850i	$0.425658\pi$
$521$	−8.57517	+	40.3430i	−0.375685	+	1.76746i	−0.607121	+	0.794609i	$0.707676\pi$
$522$	0.923297	+	8.78458i	0.0404116	+	0.384491i
$523$	5.68683	+	2.53194i	0.248668	+	0.110714i	0.527286	−	0.849688i	$-0.323210\pi$
$523$	5.68683	+	2.53194i	0.248668	+	0.110714i	−0.278618	+	0.960402i	$0.589876\pi$
$524$	−11.2596	−	34.6536i	−0.491879	−	1.51385i
$525$	13.0551	+	0.836873i	0.569771	+	0.0365241i
$526$	32.5987	+	23.6843i	1.42137	+	1.03268i
$527$	24.9048	−	14.3788i	1.08487	−	0.626351i
$528$	25.6369	+	30.4193i	1.11570	+	1.32383i
$529$	2.87313	−	4.97641i	0.124919	−	0.216366i
$530$	0.418623	−	3.98293i	0.0181838	−	0.173007i
$531$	−2.43611	−	0.791539i	−0.105718	−	0.0343499i
$532$	−64.8080	+	2.63942i	−2.80978	+	0.114433i
$533$	14.2081	−	10.3228i	0.615421	−	0.447130i
$534$	8.96654	−	20.1392i	0.388020	−	0.871508i
$535$	1.28580	+	0.273304i	0.0555898	+	0.0118160i
$536$	66.7755	−	60.1250i	2.88426	−	2.59700i
$537$	11.7953	+	1.23974i	0.509005	+	0.0534986i
$538$	47.8121			2.06132
$539$	−10.4634	−	20.7248i	−0.450691	−	0.892680i
$540$	−1.20686			−0.0519350
$541$	−4.14633	−	0.435797i	−0.178265	−	0.0187364i	0.0149755	−	0.999888i	$-0.495233\pi$
$541$	−4.14633	−	0.435797i	−0.178265	−	0.0187364i	−0.193240	+	0.981151i	$0.561900\pi$
$542$	−23.9350	+	21.5512i	−1.02810	+	0.925702i
$543$	5.60712	+	1.19183i	0.240624	+	0.0511463i
$544$	−23.9953	+	53.8944i	−1.02879	+	2.31070i
$545$	2.20207	−	1.59989i	0.0943262	−	0.0685320i
$546$	−26.2949	+	1.07090i	−1.12532	+	0.0458305i
$547$	−11.5676	−	3.75853i	−0.494593	−	0.160703i	0.0510910	−	0.998694i	$-0.483730\pi$
$547$	−11.5676	−	3.75853i	−0.494593	−	0.160703i	−0.545684	+	0.837991i	$0.683730\pi$
$548$	0.359121	−	3.41681i	0.0153409	−	0.145959i
$549$	3.55104	−	6.15058i	0.151555	−	0.262500i
$550$	23.1121	−	37.1653i	0.985502	−	1.58473i
$551$	−13.7178	+	7.91996i	−0.584397	+	0.337402i
$552$	28.0034	+	20.3456i	1.19190	+	0.865968i
$553$	−29.0257	−	1.86064i	−1.23430	−	0.0791223i
$554$	−0.109150	−	0.335930i	−0.00463735	−	0.0142723i
$555$	0.902495	+	0.401817i	0.0383088	+	0.0170562i
$556$	1.65992	+	15.7931i	0.0703962	+	0.669775i
$557$	−0.422995	+	1.99003i	−0.0179229	+	0.0843204i	−0.986200	−	0.165558i	$-0.947057\pi$
$557$	−0.422995	+	1.99003i	−0.0179229	+	0.0843204i	0.968277	+	0.249879i	$0.0803907\pi$
$558$	−19.5264	+	4.15046i	−0.826617	+	0.175703i
$559$	23.3198	−	32.0969i	0.986322	−	1.35756i
$560$	5.34815	−	5.22491i	0.226001	−	0.220793i
$561$	−4.33526	+	11.9915i	−0.183035	+	0.506281i
$562$	33.7404	+	58.4401i	1.42325	+	2.46515i
$563$	−39.2312	+	17.4669i	−1.65340	+	0.736140i	−0.999786	−	0.0206887i	$-0.993414\pi$
$563$	−39.2312	+	17.4669i	−1.65340	+	0.736140i	−0.653613	+	0.756829i	$0.726747\pi$
$564$	12.7869	+	14.2013i	0.538425	+	0.597981i
$565$	−1.17391	−	1.05699i	−0.0493867	−	0.0444679i
$566$	25.0905	+	34.5341i	1.05463	+	1.45158i
$567$	2.60818	+	0.444316i	0.109533	+	0.0186595i
$568$	−26.6650	+	8.66398i	−1.11884	+	0.363532i
$569$	−5.51271	−	25.9353i	−0.231105	−	1.08726i	−0.928718	−	0.370788i	$-0.879088\pi$
$569$	−5.51271	−	25.9353i	−0.231105	−	1.08726i	0.697613	−	0.716475i	$-0.254246\pi$
$570$	−1.22396	−	2.74907i	−0.0512662	−	0.115146i
$571$	7.25913	+	4.19106i	0.303785	+	0.175391i	0.644142	−	0.764906i	$-0.277215\pi$
$571$	7.25913	+	4.19106i	0.303785	+	0.175391i	−0.340357	+	0.940296i	$0.610548\pi$
$572$	−27.6348	+	56.9715i	−1.15547	+	2.38210i
$573$		−	17.4612i		−	0.729451i
$574$	12.2847	−	30.9207i	0.512755	−	1.29061i
$575$	6.34667	−	19.5330i	0.264674	−	0.814584i
$576$	11.3504	−	12.6059i	0.472934	−	0.525246i
$577$	−10.5410	+	1.10790i	−0.438828	+	0.0461227i	−0.321367	−	0.946955i	$-0.604142\pi$
$577$	−10.5410	+	1.10790i	−0.438828	+	0.0461227i	−0.117461	+	0.993077i	$0.537476\pi$
$578$	5.88979	−	0.619042i	0.244983	−	0.0257487i
$579$	8.31477	−	9.23449i	0.345550	−	0.383772i
$580$	1.23433	−	3.79888i	0.0512528	−	0.157740i
$581$	33.1790	−	26.2334i	1.37650	−	1.08835i
$582$			6.36800i			0.263962i
$583$	15.2275	+	14.6416i	0.630658	+	0.606395i
$584$	88.6081	+	51.1579i	3.66663	+	2.11693i
$585$	−0.357157	−	0.802188i	−0.0147666	−	0.0331664i
$586$	8.75619	+	41.1946i	0.361715	+	1.70173i
$587$	−6.17879	+	2.00761i	−0.255026	+	0.0828629i	−0.433740	−	0.901038i	$-0.642806\pi$
$587$	−6.17879	+	2.00761i	−0.255026	+	0.0828629i	0.178714	+	0.983901i	$0.442806\pi$
$588$	−29.4925	+	20.3944i	−1.21625	+	0.841052i
$589$	−21.0418	−	28.9615i	−0.867011	−	1.19334i
$590$	1.19690	+	1.07769i	0.0492755	+	0.0443679i
$591$	−6.05510	−	6.72487i	−0.249074	−	0.276624i
$592$	−45.9466	+	20.4567i	−1.88839	+	0.840767i
$593$	18.9855	+	32.8839i	0.779641	+	1.35038i	0.932149	+	0.362076i	$0.117932\pi$
$593$	18.9855	+	32.8839i	0.779641	+	1.35038i	−0.152508	+	0.988302i	$0.548735\pi$
$594$	5.43439	−	6.98673i	0.222976	−	0.286669i
$595$	2.30746	+	0.647200i	0.0945967	+	0.0265326i
$596$	50.3169	−	69.2552i	2.06106	−	2.83680i
$597$	4.11385	−	0.874426i	0.168369	−	0.0357879i
$598$	−8.59019	+	40.4136i	−0.351279	+	1.65264i
$599$	3.01690	+	28.7038i	0.123267	+	1.17281i	0.864880	+	0.501979i	$0.167395\pi$
$599$	3.01690	+	28.7038i	0.123267	+	1.17281i	−0.741613	+	0.670828i	$0.765939\pi$
$600$	−37.6412	−	16.7589i	−1.53669	−	0.684180i
$601$	−5.87227	−	18.0730i	−0.239535	−	0.737213i	−0.996487	−	0.0837428i	$-0.973313\pi$
$601$	−5.87227	−	18.0730i	−0.239535	−	0.737213i	0.756952	−	0.653470i	$-0.226687\pi$
$602$	4.80830	−	75.0088i	0.195972	−	3.05713i
$603$	−8.72349	−	6.33799i	−0.355248	−	0.258103i
$604$	14.8044	−	8.54733i	0.602383	−	0.347786i
$605$	−0.896890	−	2.43148i	−0.0364638	−	0.0988537i
$606$	−22.8286	+	39.5403i	−0.927348	+	1.60621i
$607$	−0.854178	+	8.12696i	−0.0346700	+	0.329863i	0.963415	+	0.268013i	$0.0863669\pi$
$607$	−0.854178	+	8.12696i	−0.0346700	+	0.329863i	−0.998085	+	0.0618506i	$0.980300\pi$
$608$	69.8441	+	22.6937i	2.83255	+	0.920353i
$609$	−4.06613	+	7.75542i	−0.164768	+	0.314265i
$610$	−3.61274	+	2.62481i	−0.146276	+	0.106275i
$611$	−5.65531	+	12.7020i	−0.228789	+	0.513869i
$612$	19.2634	+	4.09457i	0.778678	+	0.165513i
$613$	−10.8688	+	9.78630i	−0.438986	+	0.395265i	−0.858772	−	0.512358i	$-0.828772\pi$
$613$	−10.8688	+	9.78630i	−0.438986	+	0.395265i	0.419786	+	0.907623i	$0.362105\pi$
$614$	−68.4281	−	7.19208i	−2.76153	−	0.290249i
$615$	1.11017			0.0447664
$616$	8.22180	+	72.6597i	0.331266	+	2.92754i
$617$	−17.0126			−0.684901			−0.342450	−	0.939536i	$-0.611257\pi$
$617$	−17.0126			−0.684901			−0.342450	+	0.939536i	$0.611257\pi$
$618$	−22.6730	−	2.38303i	−0.912043	−	0.0958596i
$619$	−0.683084	+	0.615051i	−0.0274555	+	0.0247210i	−0.682744	−	0.730658i	$-0.739214\pi$
$619$	−0.683084	+	0.615051i	−0.0274555	+	0.0247210i	0.655289	+	0.755379i	$0.272547\pi$
$620$	8.83006	+	1.87689i	0.354624	+	0.0753776i
$621$	1.68949	−	3.79465i	0.0677968	−	0.152274i
$622$	36.5178	−	26.5318i	1.46423	−	1.06383i
$623$	18.4664	−	11.6885i	0.739842	−	0.468290i
$624$	42.5168	+	13.8146i	1.70204	+	0.553025i
$625$	−2.52650	+	24.0380i	−0.101060	+	0.961522i
$626$	2.16821	−	3.75545i	0.0866591	−	0.150098i
$627$	15.4097	+	3.80677i	0.615404	+	0.152028i
$628$	86.7010	−	50.0568i	3.45974	−	1.99748i
$629$	−13.0420	−	9.47558i	−0.520019	−	0.377816i
$630$	−1.38454	−	0.922249i	−0.0551613	−	0.0367433i
$631$	−7.15855	−	22.0318i	−0.284977	−	0.877070i	−0.986405	−	0.164330i	$-0.947454\pi$
$631$	−7.15855	−	22.0318i	−0.284977	−	0.877070i	0.701428	−	0.712740i	$-0.252546\pi$
$632$	83.6884	+	37.2605i	3.32895	+	1.48214i
$633$	2.11154	+	20.0900i	0.0839262	+	0.798504i
$634$	15.9878	−	75.2166i	0.634956	−	2.98723i
$635$	−1.50161	+	0.319178i	−0.0595897	+	0.0126662i
$636$	19.1775	−	26.3955i	0.760436	−	1.04665i
$637$	−22.2839	−	13.5678i	−0.882922	−	0.537577i
$638$	16.4343	+	24.2518i	0.650640	+	0.960137i
$639$	1.68226	+	2.91376i	0.0665493	+	0.115267i
$640$	−3.13828	+	1.39725i	−0.124051	+	0.0552312i
$641$	−1.08902	−	1.20948i	−0.0430136	−	0.0477715i	0.721254	−	0.692671i	$-0.243566\pi$
$641$	−1.08902	−	1.20948i	−0.0430136	−	0.0477715i	−0.764268	+	0.644899i	$0.776899\pi$
$642$	11.0657	+	9.96356i	0.436726	+	0.393230i
$643$	4.79592	+	6.60101i	0.189133	+	0.260319i	0.893044	−	0.449969i	$-0.148565\pi$
$643$	4.79592	+	6.60101i	0.189133	+	0.260319i	−0.703912	+	0.710288i	$0.748565\pi$
$644$	19.5604	+	52.7874i	0.770786	+	2.08011i
$645$	2.38520	−	0.774997i	0.0939170	−	0.0305155i
$646$	10.2095	+	48.0321i	0.401689	+	1.88980i
$647$	5.87080	+	13.1860i	0.230805	+	0.518396i	0.991406	−	0.130824i	$-0.0417622\pi$
$647$	5.87080	+	13.1860i	0.230805	+	0.518396i	−0.760601	+	0.649220i	$0.775096\pi$
$648$	−7.21675	−	4.16659i	−0.283501	−	0.163679i
$649$	−8.36318	+	1.49327i	−0.328283	+	0.0586160i
$650$		−	49.1817i		−	1.92907i
$651$	−18.3919	−	7.30705i	−0.720834	−	0.286386i
$652$	19.9166	−	61.2971i	0.779996	−	2.40058i
$653$	−18.5063	+	20.5533i	−0.724208	+	0.804314i	−0.987031	−	0.160530i	$-0.948680\pi$
$653$	−18.5063	+	20.5533i	−0.724208	+	0.804314i	0.262823	+	0.964844i	$0.415346\pi$
$654$	30.6636	−	3.22287i	1.19904	−	0.126024i
$655$	1.66670	−	0.175177i	0.0651232	−	0.00684473i
$656$	−37.8190	+	42.0022i	−1.47658	+	1.63991i
$657$	3.79414	−	11.6772i	0.148024	−	0.455570i
$658$	3.81719	+	26.0634i	0.148810	+	1.01606i
$659$		−	41.7753i		−	1.62734i	−0.581330	−	0.813668i	$-0.697467\pi$
$659$		−	41.7753i		−	1.62734i	0.581330	−	0.813668i	$-0.302533\pi$
$660$	−3.53011	+	1.88678i	−0.137409	+	0.0734427i
$661$	−28.4168	−	16.4065i	−1.10529	−	0.638138i	−0.167682	−	0.985841i	$-0.553628\pi$
$661$	−28.4168	−	16.4065i	−1.10529	−	0.638138i	−0.937605	+	0.347703i	$0.886962\pi$
$662$	11.7922	+	26.4857i	0.458317	+	1.02940i
$663$	2.97918	+	14.0159i	0.115702	+	0.544334i
$664$	−126.700	+	41.1675i	−4.91693	+	1.59761i
$665$	0.500994	−	2.94088i	0.0194277	−	0.114042i
$666$	6.57763	+	9.05333i	0.254878	+	0.350810i
$667$	10.2166	+	9.19908i	0.395589	+	0.356190i
$668$	−21.7141	−	24.1159i	−0.840144	−	0.933074i
$669$	14.1444	−	6.29751i	0.546856	−	0.243476i
$670$	3.38997	+	5.87161i	0.130966	+	0.226840i
$671$	0.771249	−	23.5423i	0.0297737	−	0.908840i
$672$	39.3351	−	10.0499i	1.51738	−	0.387684i
$673$	3.00454	−	4.13540i	0.115817	−	0.159408i	−0.747173	−	0.664630i	$-0.768589\pi$
$673$	3.00454	−	4.13540i	0.115817	−	0.159408i	0.862990	+	0.505222i	$0.168589\pi$
$674$	26.9413	−	5.72656i	1.03774	−	0.220579i
$675$	−1.02802	+	4.83644i	−0.0395684	+	0.186155i
$676$	0.477094	+	4.53925i	0.0183498	+	0.174587i
$677$	−17.6183	−	7.84419i	−0.677128	−	0.301477i	0.0392093	−	0.999231i	$-0.487516\pi$
$677$	−17.6183	−	7.84419i	−0.677128	−	0.301477i	−0.716337	+	0.697754i	$0.754183\pi$
$678$	−5.52941	−	17.0178i	−0.212356	−	0.653564i
$679$	−3.49979	+	5.25411i	−0.134310	+	0.201634i
$680$	−6.10659	−	4.43670i	−0.234177	−	0.170140i
$681$	20.4248	−	11.7923i	0.782680	−	0.451881i
$682$	−50.6266	+	42.6673i	−1.93859	+	1.63382i
$683$	1.48922	−	2.57941i	0.0569835	−	0.0986983i	−0.836126	−	0.548537i	$-0.815185\pi$
$683$	1.48922	−	2.57941i	0.0569835	−	0.0986983i	0.893110	+	0.449838i	$0.148518\pi$
$684$	2.56256	−	24.3811i	0.0979819	−	0.932236i
$685$	0.150284	+	0.0488303i	0.00574206	+	0.00186571i
$686$	−49.4193	+	0.859633i	−1.88684	+	0.0328209i
$687$	10.7218	−	7.78982i	0.409061	−	0.297200i
$688$	−51.9325	+	116.642i	−1.97991	+	4.44695i
$689$	23.2202	+	4.93561i	0.884620	+	0.188032i
$690$	−1.94093	+	1.74762i	−0.0738898	+	0.0665306i
$691$	−12.9051	−	1.35638i	−0.490934	−	0.0515993i	−0.144173	−	0.989553i	$-0.546052\pi$
$691$	−12.9051	−	1.35638i	−0.490934	−	0.0515993i	−0.346762	+	0.937953i	$0.612719\pi$
$692$	17.4179			0.662130
$693$	8.32365	−	2.77792i	0.316189	−	0.105525i
$694$	−29.4043			−1.11617
$695$	−0.726385	−	0.0763462i	−0.0275534	−	0.00289598i
$696$	20.4963	−	18.4550i	0.776912	−	0.699535i
$697$	−17.7201	−	3.76653i	−0.671197	−	0.142667i
$698$	−1.13765	+	2.55521i	−0.0430608	+	0.0967162i
$699$	−13.8445	+	10.0586i	−0.523646	+	0.380451i
$700$	−35.8395	−	56.6221i	−1.35461	−	2.14011i
$701$	−29.9894	−	9.74416i	−1.13269	−	0.368032i	−0.318090	−	0.948061i	$-0.603041\pi$
$701$	−29.9894	−	9.74416i	−1.13269	−	0.368032i	−0.814596	+	0.580029i	$0.803041\pi$
$702$	1.03972	−	9.89228i	0.0392417	−	0.373360i
$703$	−10.0338	+	17.3791i	−0.378433	+	0.655466i
$704$	13.4926	−	54.6177i	0.508521	−	2.05848i
$705$	−0.761176	+	0.439465i	−0.0286675	+	0.0165512i
$706$	9.07883	+	6.59616i	0.341686	+	0.248250i
$707$	−40.5664	+	20.0775i	−1.52566	+	0.755092i
$708$	4.05462	+	12.4788i	0.152382	+	0.468984i
$709$	−43.1134	−	19.1953i	−1.61916	−	0.720896i	−0.621133	−	0.783705i	$-0.713327\pi$
$709$	−43.1134	−	19.1953i	−1.61916	−	0.720896i	−0.998026	+	0.0628089i	$0.979994\pi$
$710$	−0.221132	−	2.10393i	−0.00829894	−	0.0789592i
$711$	2.28561	−	10.7530i	0.0857172	−	0.403268i
$712$	−67.3306	+	14.3116i	−2.52332	+	0.536348i
$713$	−18.2626	+	25.1363i	−0.683939	+	0.941362i
$714$	18.9705	+	19.4179i	0.709952	+	0.726698i
$715$	−2.29882	−	1.78806i	−0.0859710	−	0.0668696i
$716$	−30.3769	−	52.6143i	−1.13524	−	1.96629i
$717$	7.54741	−	3.36032i	0.281863	−	0.125494i
$718$	−9.96764	−	11.0702i	−0.371989	−	0.413135i
$719$	−34.7730	−	31.3097i	−1.29681	−	1.16766i	−0.975333	−	0.220739i	$-0.929153\pi$
$719$	−34.7730	−	31.3097i	−1.29681	−	1.16766i	−0.321480	−	0.946916i	$-0.604180\pi$
$720$	1.66106	+	2.28625i	0.0619040	+	0.0852035i
$721$	−17.3974	−	14.4271i	−0.647912	−	0.537292i
$722$	9.91052	−	3.22012i	0.368831	−	0.119841i
$723$	−5.38469	−	25.3330i	−0.200259	−	0.942143i
$724$	−11.9434	−	26.8252i	−0.443872	−	0.996952i
$725$	−14.1724	−	8.18245i	−0.526351	−	0.303889i
$726$	4.97291	−	28.9325i	0.184562	−	1.07378i
$727$		−	7.14658i		−	0.265052i	−0.991180	−	0.132526i	$-0.957691\pi$
$727$		−	7.14658i		−	0.265052i	0.991180	−	0.132526i	$-0.0423088\pi$
$728$	50.9651	+	64.4586i	1.88889	+	2.38899i
$729$	−0.309017	+	0.951057i	−0.0114451	+	0.0352243i
$730$	−5.16578	+	5.73718i	−0.191194	+	0.212343i
$731$	−40.7009	+	4.27784i	−1.50538	+	0.158222i
$732$	−36.1808	+	3.80275i	−1.33728	+	0.140554i
$733$	21.8210	−	24.2346i	0.805976	−	0.895127i	−0.190267	−	0.981732i	$-0.560935\pi$
$733$	21.8210	−	24.2346i	0.805976	−	0.895127i	0.996243	+	0.0866053i	$0.0276019\pi$
$734$	−5.15844	+	15.8760i	−0.190401	+	0.585996i
$735$	−0.635495	−	1.52186i	−0.0234406	−	0.0561346i
$736$		−	63.7388i		−	2.34944i
$737$	−35.4252	−	4.90075i	−1.30490	−	0.180521i
$738$	10.8907	+	6.28776i	0.400893	+	0.231456i
$739$	13.5143	+	30.3537i	0.497133	+	1.11658i	0.971670	+	0.236343i	$0.0759490\pi$
$739$	13.5143	+	30.3537i	0.497133	+	1.11658i	−0.474537	+	0.880236i	$0.657384\pi$
$740$	−1.05214	−	4.94991i	−0.0386773	−	0.181962i
$741$	16.9643	−	5.51202i	0.623197	−	0.202489i
$742$	42.1716	−	15.6267i	1.54817	−	0.573673i
$743$	12.1160	+	16.6763i	0.444494	+	0.611794i	0.971203	−	0.238252i	$-0.0765744\pi$
$743$	12.1160	+	16.6763i	0.444494	+	0.611794i	−0.526709	+	0.850045i	$0.676574\pi$
$744$	46.3219	+	41.7085i	1.69824	+	1.52911i
$745$	2.63455	+	2.92596i	0.0965224	+	0.107199i
$746$	−23.6203	+	10.5165i	−0.864802	+	0.385035i
$747$	7.99338	+	13.8449i	0.292463	+	0.506560i
$748$	62.7476	−	18.1392i	2.29428	−	0.663236i
$749$	3.65417	+	14.3023i	0.133520	+	0.522595i
$750$	3.67532	−	5.05864i	0.134204	−	0.184715i
$751$	40.4100	−	8.58942i	1.47458	−	0.313432i	0.600663	−	0.799502i	$-0.294903\pi$
$751$	40.4100	−	8.58942i	1.47458	−	0.313432i	0.873920	+	0.486070i	$0.161570\pi$
$752$	9.30340	−	43.7691i	0.339260	−	1.59609i
$753$	1.59016	+	15.1294i	0.0579487	+	0.551345i
$754$	30.0749	+	13.3902i	1.09526	+	0.487642i
$755$	0.242965	+	0.747769i	0.00884239	+	0.0272141i
$756$	−6.01165	−	12.1465i	−0.218642	−	0.441763i
$757$	40.1653	+	29.1818i	1.45983	+	1.06063i	0.983406	+	0.181417i	$0.0580682\pi$
$757$	40.1653	+	29.1818i	1.45983	+	1.06063i	0.476427	+	0.879214i	$0.341932\pi$
$758$	−19.0154	+	10.9785i	−0.690671	+	0.398759i
$759$	−0.990655	−	13.7408i	−0.0359585	−	0.498760i
$760$	−4.69809	+	8.13733i	−0.170418	+	0.295172i
$761$	4.15915	−	39.5717i	0.150769	−	1.43447i	−0.613561	−	0.789647i	$-0.710264\pi$
$761$	4.15915	−	39.5717i	0.150769	−	1.43447i	0.764330	−	0.644825i	$-0.223070\pi$
$762$	−16.5385	−	5.37369i	−0.599127	−	0.194668i
$763$	27.0712	+	14.1933i	0.980043	+	0.513832i
$764$	−72.3618	+	52.5739i	−2.61796	+	1.90206i
$765$	−0.368420	+	0.827485i	−0.0133202	+	0.0299178i
$766$	18.3239	+	3.89487i	0.662070	+	0.140727i
$767$	−7.09464	+	6.38804i	−0.256173	+	0.230659i
$768$	−4.96007	−	0.521325i	−0.178981	−	0.0188117i
$769$	6.24486			0.225195			0.112598	−	0.993641i	$-0.464083\pi$
$769$	6.24486			0.225195			0.112598	+	0.993641i	$0.464083\pi$
$770$	−5.49165	−	0.533058i	−0.197905	−	0.0192101i
$771$	20.7048			0.745664
$772$	−63.3041	−	6.65353i	−2.27837	−	0.239466i
$773$	−4.75288	+	4.27951i	−0.170949	+	0.153923i	−0.750164	−	0.661251i	$-0.770026\pi$
$773$	−4.75288	+	4.27951i	−0.170949	+	0.153923i	0.579215	+	0.815175i	$0.303359\pi$
$774$	27.7880	+	5.90653i	0.998821	+	0.212306i
$775$	15.0431	−	33.7873i	0.540364	−	1.21368i
$776$	16.0863	−	11.6874i	0.577466	−	0.419553i
$777$	0.451445	+	11.0847i	0.0161955	+	0.397662i
$778$	13.4483	+	4.36961i	0.482145	+	0.156658i
$779$	−2.35726	+	22.4278i	−0.0844575	+	0.803560i
$780$	−2.24902	+	3.89543i	−0.0805280	+	0.139479i
$781$	9.47599	+	5.89286i	0.339078	+	0.210863i
$782$	36.9095	−	21.3097i	1.31988	−	0.762033i
$783$	−2.67762	−	1.94541i	−0.0956904	−	0.0695232i
$784$	79.2266	+	27.8001i	2.82952	+	0.992861i
$785$	1.42291	+	4.37925i	0.0507857	+	0.156302i
$786$	17.3424	+	7.72132i	0.618582	+	0.275410i
$787$	−1.30336	−	12.4006i	−0.0464597	−	0.442035i	−0.992882	−	0.119103i	$-0.961998\pi$
$787$	−1.30336	−	12.4006i	−0.0464597	−	0.442035i	0.946422	−	0.322932i	$-0.104668\pi$
$788$	−9.63758	+	45.3412i	−0.343324	+	1.61521i
$789$	−14.7683	+	3.13911i	−0.525767	+	0.111755i
$790$	−4.06290	+	5.59211i	−0.144552	+	0.198958i
$791$	4.79060	−	17.0799i	0.170334	−	0.607293i
$792$	−27.6232	−	0.904942i	−0.981549	−	0.0321557i
$793$	−13.2350	−	22.9236i	−0.469987	−	0.814041i
$794$	25.9556	−	11.5562i	0.921129	−	0.410113i
$795$	1.00412	+	1.11518i	0.0356124	+	0.0395515i
$796$	−16.0102	−	14.4156i	−0.567465	−	0.510948i
$797$	−3.08834	−	4.25073i	−0.109394	−	0.150569i	0.750809	−	0.660519i	$-0.229664\pi$
$797$	−3.08834	−	4.25073i	−0.109394	−	0.150569i	−0.860204	+	0.509950i	$0.829664\pi$
$798$	21.5712	−	26.0123i	0.763612	−	0.920827i
$799$	13.6406	−	4.43209i	0.482569	−	0.156796i
$800$	15.7748	+	74.2144i	0.557722	+	2.62388i
$801$	3.35978	+	7.54618i	0.118712	+	0.266631i
$802$	−8.57674	−	4.95178i	−0.302855	−	0.174854i
$803$	−7.15781	−	40.0879i	−0.252594	−	1.41467i
$804$			55.2346i			1.94797i
$805$	−2.56189	+	0.375209i	−0.0902949	+	0.0132244i
$806$	−22.9915	+	70.7604i	−0.809840	+	2.49243i
$807$	−11.9876	+	13.3136i	−0.421985	+	0.468662i
$808$	141.781	−	14.9018i	4.98786	−	0.524245i
$809$	−21.8228	+	2.29366i	−0.767247	+	0.0806410i	−0.480063	−	0.877234i	$-0.659386\pi$
$809$	−21.8228	+	2.29366i	−0.767247	+	0.0806410i	−0.287185	+	0.957875i	$0.592719\pi$
$810$	0.420731	−	0.467269i	0.0147830	−	0.0164182i
$811$	0.0493231	−	0.151801i	0.00173197	−	0.00533045i	−0.950187	−	0.311681i	$-0.899108\pi$
$811$	0.0493231	−	0.151801i	0.00173197	−	0.00533045i	0.951919	+	0.306351i	$0.0991080\pi$
$812$	44.3824	−	6.50015i	1.55752	−	0.228110i
$813$		−	12.0683i		−	0.423253i
$814$	33.3936	+	16.1980i	1.17045	+	0.567741i
$815$	2.56723	+	1.48219i	0.0899262	+	0.0519189i
$816$	−18.7565	−	42.1278i	−0.656608	−	1.47477i
$817$	10.5920	+	49.8315i	0.370568	+	1.74339i
$818$	60.6671	−	19.7119i	2.12117	−	0.689211i
$819$	6.29456	−	7.59050i	0.219950	−	0.265234i
$820$	−3.34262	−	4.60072i	−0.116729	−	0.160664i
$821$	6.37824	+	5.74299i	0.222602	+	0.200432i	0.772884	−	0.634547i	$-0.218813\pi$
$821$	6.37824	+	5.74299i	0.222602	+	0.200432i	−0.550282	+	0.834979i	$0.685480\pi$
$822$	1.19772	+	1.33020i	0.0417751	+	0.0463960i
$823$	−34.3517	+	15.2943i	−1.19742	+	0.533127i	−0.905923	−	0.423443i	$-0.860821\pi$
$823$	−34.3517	+	15.2943i	−1.19742	+	0.533127i	−0.291501	+	0.956571i	$0.594155\pi$
$824$	35.5927	+	61.6484i	1.23993	+	2.14763i
$825$	4.55419	+	15.7540i	0.158557	+	0.548483i
$826$	−4.88443	+	17.4144i	−0.169951	+	0.605926i
$827$	−6.66173	+	9.16908i	−0.231651	+	0.318840i	−0.908980	−	0.416840i	$-0.863137\pi$
$827$	−6.66173	+	9.16908i	−0.231651	+	0.318840i	0.677329	+	0.735680i	$0.263137\pi$
$828$	−20.8125	+	4.42383i	−0.723284	+	0.153739i
$829$	3.92330	−	18.4577i	0.136262	−	0.641061i	−0.856008	−	0.516963i	$-0.827063\pi$
$829$	3.92330	−	18.4577i	0.136262	−	0.641061i	0.992270	−	0.124099i	$-0.0396040\pi$
$830$	−1.05072	−	9.99698i	−0.0364712	−	0.347000i
$831$	0.120909	+	0.0538320i	0.00419427	+	0.00186741i
$832$	−19.5367	−	60.1276i	−0.677312	−	2.08455i
$833$	4.98024	+	26.4474i	0.172555	+	0.916347i
$834$	−6.69339	−	4.86303i	−0.231773	−	0.168393i
$835$	1.29259	−	0.746279i	0.0447321	−	0.0258261i
$836$	−30.6213	−	75.3220i	−1.05906	−	2.60507i
$837$	3.74000	−	6.47788i	0.129273	−	0.223908i
$838$	−7.24584	+	68.9395i	−0.250303	+	2.38148i
$839$	10.8137	+	3.51360i	0.373332	+	0.121303i	0.489672	−	0.871906i	$-0.337116\pi$
$839$	10.8137	+	3.51360i	0.373332	+	0.121303i	−0.116340	+	0.993209i	$0.537116\pi$
$840$	0.211377	+	5.19014i	0.00729322	+	0.179077i
$841$	−14.5993	+	10.6070i	−0.503424	+	0.365759i
$842$	−6.48950	+	14.5757i	−0.223643	+	0.502310i
$843$	−24.7326	−	5.25708i	−0.851836	−	0.181063i
$844$	76.8982	−	69.2395i	2.64695	−	2.38332i
$845$	−0.208778	−	0.0219435i	−0.00718218	−	0.000754878i
$846$	−9.95613			−0.342299
$847$	20.0041	−	21.1385i	0.687348	−	0.726329i
$848$	−76.3980			−2.62352
$849$	−15.9071	−	1.67190i	−0.545930	−	0.0573795i
$850$	−37.7017	+	33.9468i	−1.29316	+	1.16436i
$851$	17.0366	+	3.62123i	0.584006	+	0.124134i
$852$	7.00995	−	15.7446i	0.240157	−	0.539402i
$853$	11.5992	−	8.42735i	0.397151	−	0.288547i	−0.371229	−	0.928541i	$-0.621063\pi$
$853$	11.5992	−	8.42735i	0.397151	−	0.288547i	0.768379	+	0.639995i	$0.221063\pi$
$854$	−44.4133	−	23.2857i	−1.51979	−	0.796821i
$855$	1.07237	+	0.348436i	0.0366744	+	0.0119162i
$856$	4.85998	−	46.2396i	0.166111	−	1.58044i
$857$	−3.30855	+	5.73059i	−0.113018	+	0.195753i	−0.916986	−	0.398920i	$-0.869385\pi$
$857$	−3.30855	+	5.73059i	−0.113018	+	0.195753i	0.803968	+	0.594673i	$0.202718\pi$
$858$	−12.4241	−	30.5608i	−0.424153	−	1.04333i
$859$	20.2429	−	11.6873i	0.690679	−	0.398764i	−0.113187	−	0.993574i	$-0.536106\pi$
$859$	20.2429	−	11.6873i	0.690679	−	0.398764i	0.803867	+	0.594810i	$0.202773\pi$
$860$	−10.3933	−	7.55117i	−0.354409	−	0.257493i
$861$	5.53002	+	11.1734i	0.188463	+	0.380787i
$862$	−8.68751	−	26.7374i	−0.295898	−	0.910680i
$863$	8.23583	+	3.66683i	0.280351	+	0.124820i	0.542095	−	0.840317i	$-0.317631\pi$
$863$	8.23583	+	3.66683i	0.280351	+	0.124820i	−0.261745	+	0.965137i	$0.584298\pi$
$864$	1.60397	+	15.2608i	0.0545683	+	0.519182i
$865$	−0.166562	+	0.783613i	−0.00566328	+	0.0266436i
$866$	−23.7309	+	5.04416i	−0.806409	+	0.171408i
$867$	−1.30433	+	1.79526i	−0.0442975	+	0.0609703i
$868$	25.0946	+	98.2195i	0.851766	+	3.33379i
$869$	−10.1254	−	35.0261i	−0.343482	−	1.18818i
$870$	1.04053	+	1.80225i	0.0352773	+	0.0611022i
$871$	−36.7139	+	16.3461i	−1.24400	+	0.553865i
$872$	−64.4193	−	71.5449i	−2.18151	−	2.42282i
$873$	−1.77322	−	1.59661i	−0.0600143	−	0.0540371i
$874$	−31.1843	−	42.9215i	−1.05483	−	1.45184i
$875$	5.81261	−	2.15386i	0.196502	−	0.0728139i
$876$	−59.8158	+	19.4353i	−2.02099	+	0.656659i
$877$	−2.33910	−	11.0046i	−0.0789860	−	0.371600i	0.920846	−	0.389926i	$-0.127500\pi$
$877$	−2.33910	−	11.0046i	−0.0789860	−	0.371600i	−0.999832	+	0.0183265i	$0.994166\pi$
$878$	24.3352	+	54.6577i	0.821272	+	1.84461i
$879$	−13.6663	−	7.89026i	−0.460954	−	0.266132i
$880$	8.43293	+	4.09051i	0.284274	+	0.137891i
$881$			3.55642i			0.119819i	0.998204	+	0.0599094i	$0.0190812\pi$
$881$			3.55642i			0.119819i	−0.998204	+	0.0599094i	$0.980919\pi$
$882$	2.38529	−	18.5286i	0.0803169	−	0.623892i
$883$	7.75476	−	23.8667i	0.260968	−	0.803178i	−0.731626	−	0.681706i	$-0.761238\pi$
$883$	7.75476	−	23.8667i	0.260968	−	0.803178i	0.992595	−	0.121472i	$-0.0387616\pi$
$884$	49.1142	−	54.5469i	1.65189	−	1.83461i
$885$	−0.600182	+	0.0630817i	−0.0201749	+	0.00212047i
$886$	85.0536	−	8.93950i	2.85743	−	0.300328i
$887$	−20.6403	+	22.9233i	−0.693032	+	0.769690i	−0.982251	−	0.187573i	$-0.939938\pi$
$887$	−20.6403	+	22.9233i	−0.693032	+	0.769690i	0.289218	+	0.957263i	$0.406605\pi$
$888$	10.7977	−	33.2318i	0.362346	−	1.11519i
$889$	−10.6923	−	13.5231i	−0.358607	−	0.453551i
$890$		−	5.19386i		−	0.174099i
$891$	0.582974	+	3.26499i	0.0195303	+	0.109381i
$892$	−68.6854	−	39.6556i	−2.29976	−	1.32777i
$893$	−7.26190	−	16.3105i	−0.243010	−	0.545810i
$894$	9.27279	+	43.6251i	0.310129	+	1.45904i
$895$	2.65754	−	0.863488i	0.0888318	−	0.0288632i
$896$	−29.6952	−	24.6252i	−0.992046	−	0.822672i
$897$	−9.09971	−	12.5247i	−0.303830	−	0.418187i
$898$	36.3909	+	32.7665i	1.21438	+	1.09343i
$899$	16.5655	+	18.3979i	0.552491	+	0.613603i
$900$	23.1382	−	10.3018i	0.771274	−	0.343393i
$901$	−12.2438	−	21.2068i	−0.407899	−	0.706503i
$902$	41.6859	+	1.36564i	1.38799	+	0.0454708i
$903$	19.6812	+	20.1454i	0.654949	+	0.670397i
$904$	−32.8406	+	45.2012i	−1.09226	+	1.50337i
$905$	1.32105	−	0.280797i	0.0439131	−	0.00933402i
$906$	−1.85172	+	8.71167i	−0.0615194	+	0.289426i
$907$	4.77553	+	45.4362i	0.158569	+	1.50868i	0.727391	+	0.686223i	$0.240732\pi$
$907$	4.77553	+	45.4362i	0.158569	+	1.50868i	−0.568823	+	0.822460i	$0.692601\pi$
$908$	−110.366	−	49.1382i	−3.66263	−	1.63071i
$909$	−5.28660	−	16.2705i	−0.175345	−	0.539658i
$910$	−5.55691	+	2.75028i	−0.184210	+	0.0911708i
$911$	−9.33470	−	6.78206i	−0.309272	−	0.224700i	0.422312	−	0.906451i	$-0.361219\pi$
$911$	−9.33470	−	6.78206i	−0.309272	−	0.224700i	−0.731584	+	0.681751i	$0.761219\pi$
$912$	−49.7141	+	28.7024i	−1.64620	+	0.950432i
$913$	45.0258	+	28.0003i	1.49014	+	0.926675i
$914$	−13.3550	+	23.1316i	−0.441745	+	0.765126i
$915$	0.174904	−	1.66410i	0.00578213	−	0.0550133i
$916$	−64.5645	−	20.9783i	−2.13327	−	0.693141i
$917$	10.0653	+	15.9019i	0.332385	+	0.525127i
$918$	−8.30087	+	6.03093i	−0.273969	+	0.199050i
$919$	−6.67510	+	14.9925i	−0.220191	+	0.494557i	−0.989538	−	0.144274i	$-0.953915\pi$
$919$	−6.67510	+	14.9925i	−0.220191	+	0.494557i	0.769347	+	0.638832i	$0.220582\pi$
$920$	7.97693	+	1.69555i	0.262992	+	0.0559006i
$921$	19.1592	−	17.2511i	0.631319	−	0.568442i
$922$	−17.2260	−	1.81052i	−0.567307	−	0.0596264i
$923$	12.5398			0.412753
$924$	−36.5738	−	26.1304i	−1.20319	−	0.859628i
$925$	−20.7328			−0.681690
$926$	16.6112	+	1.74591i	0.545879	+	0.0573742i
$927$	6.34825	−	5.71599i	0.208504	−	0.187738i
$928$	−49.6774	−	10.5593i	−1.63074	−	0.346624i
$929$	10.7806	−	24.2136i	0.353699	−	0.794422i	−0.645822	−	0.763488i	$-0.723485\pi$
$929$	10.7806	−	24.2136i	0.353699	−	0.794422i	0.999521	−	0.0309338i	$-0.00984812\pi$
$930$	−3.80499	+	2.76449i	−0.124771	+	0.0906511i
$931$	32.0941	−	9.60694i	1.05184	−	0.314855i
$932$	83.3688	+	27.0882i	2.73084	+	0.887303i
$933$	−1.76794	+	16.8208i	−0.0578797	+	0.550689i
$934$	31.2570	−	54.1387i	1.02276	−	1.77147i
$935$	0.216028	+	2.99640i	0.00706488	+	0.0979929i
$936$	−26.8973	+	15.5292i	−0.879166	+	0.507587i
$937$	−30.3605	−	22.0582i	−0.991835	−	0.720611i	−0.0315131	−	0.999503i	$-0.510033\pi$
$937$	−30.3605	−	22.0582i	−0.991835	−	0.720611i	−0.960322	+	0.278893i	$0.910033\pi$
$938$	−42.2087	+	63.3663i	−1.37816	+	2.06898i
$939$	0.502110	+	1.54534i	0.0163857	+	0.0504301i
$940$	4.11304	+	1.83124i	0.134153	+	0.0597286i
$941$	−3.08577	−	29.3591i	−0.100593	−	0.957080i	−0.922118	−	0.386908i	$-0.873543\pi$
$941$	−3.08577	−	29.3591i	−0.100593	−	0.957080i	0.821525	−	0.570172i	$-0.193123\pi$
$942$	−10.8445	+	51.0193i	−0.353332	+	1.66230i
$943$	19.1451	−	4.06941i	0.623450	−	0.132518i
$944$	18.0591	−	24.8562i	0.587773	−	0.809000i
$945$	0.603944	−	0.154305i	0.0196463	−	0.00501953i
$946$	90.5152	−	26.1664i	2.94290	−	0.850742i
$947$	0.582446	+	1.00883i	0.0189269	+	0.0327824i	0.875334	−	0.483519i	$-0.160642\pi$
$947$	0.582446	+	1.00883i	0.0189269	+	0.0327824i	−0.856407	+	0.516302i	$0.827308\pi$
$948$	−51.4437	+	22.9042i	−1.67081	+	0.743894i
$949$	−30.6203	−	34.0073i	−0.993977	−	1.10392i
$950$	46.9322	+	42.2580i	1.52268	+	1.37103i
$951$	16.9361	+	23.3105i	0.549190	+	0.755895i
$952$	14.2349	−	83.5601i	0.461356	−	2.70820i
$953$	25.3195	−	8.22679i	0.820178	−	0.266492i	0.131275	−	0.991346i	$-0.458093\pi$
$953$	25.3195	−	8.22679i	0.820178	−	0.266492i	0.688902	+	0.724854i	$0.258093\pi$
$954$	3.53418	+	16.6270i	0.114423	+	0.538319i
$955$	−1.67327	−	3.75822i	−0.0541457	−	0.121613i
$956$	−36.6502	−	21.1600i	−1.18535	−	0.684363i
$957$	−10.8736	−	1.50426i	−0.351492	−	0.0486257i
$958$			62.2985i			2.01277i
$959$	0.257147	+	1.75577i	0.00830371	+	0.0566969i
$960$	1.23499	−	3.80089i	0.0398590	−	0.122673i
$961$	−16.6952	+	18.5419i	−0.538554	+	0.598124i
$962$	41.4794	−	4.35966i	1.33735	−	0.140561i
$963$	−5.54885	+	0.583208i	−0.178809	+	0.0187936i
$964$	−88.7709	+	98.5901i	−2.85912	+	3.17537i
$965$	0.904692	−	2.78436i	0.0291231	−	0.0896316i
$966$	−27.2571	−	10.8292i	−0.876984	−	0.348424i
$967$		−	16.4445i		−	0.528820i	−0.964410	−	0.264410i	$-0.914823\pi$
$967$		−	16.4445i		−	0.528820i	0.964410	−	0.264410i	$-0.0851773\pi$
$968$	−82.2138	+	40.5386i	−2.64245	+	1.30296i
$969$	−15.9347	−	9.19988i	−0.511895	−	0.295543i
$970$	0.610232	+	1.37060i	0.0195934	+	0.0440074i
$971$	7.74120	+	36.4195i	0.248427	+	1.16876i	0.908608	+	0.417651i	$0.137146\pi$
$971$	7.74120	+	36.4195i	0.248427	+	1.16876i	−0.660181	+	0.751107i	$0.729520\pi$
$972$	4.87175	−	1.58293i	0.156261	−	0.0507724i
$973$	−2.84991	−	7.69102i	−0.0913638	−	0.246563i
$974$	61.2165	+	84.2573i	1.96150	+	2.69978i
$975$	13.6950	+	12.3310i	0.438591	+	0.394909i
$976$	57.0011	+	63.3062i	1.82456	+	2.02638i
$977$	33.8510	−	15.0714i	1.08299	−	0.482177i	0.213911	−	0.976853i	$-0.431380\pi$
$977$	33.8510	−	15.0714i	1.08299	−	0.482177i	0.869078	+	0.494676i	$0.164713\pi$
$978$	16.7896	+	29.0805i	0.536872	+	0.929890i
$979$	21.6250	+	16.8203i	0.691138	+	0.537578i
$980$	−4.39340	+	7.21576i	−0.140342	+	0.230499i
$981$	−6.79067	+	9.34655i	−0.216809	+	0.298413i
$982$	9.85591	−	2.09494i	0.314515	−	0.0668521i
$983$	11.7410	−	55.2369i	0.374479	−	1.76178i	−0.237969	−	0.971273i	$-0.576482\pi$
$983$	11.7410	−	55.2369i	0.374479	−	1.76178i	0.612447	−	0.790511i	$-0.290185\pi$
$984$	−4.10447	−	39.0514i	−0.130846	−	1.24491i
$985$	−1.94769	−	0.867167i	−0.0620585	−	0.0276302i
$986$	−10.4940	−	32.2971i	−0.334196	−	1.02855i
$987$	−8.21460	−	5.47180i	−0.261474	−	0.174169i
$988$	−73.9204	−	53.7063i	−2.35172	−	1.70863i
$989$	38.2923	−	22.1080i	1.21762	−	0.702995i
$990$	0.500137	−	2.02454i	0.0158954	−	0.0643442i
$991$	−8.47012	+	14.6707i	−0.269062	+	0.466030i	−0.968620	−	0.248547i	$-0.920047\pi$
$991$	−8.47012	+	14.6707i	−0.269062	+	0.466030i	0.699558	+	0.714576i	$0.253380\pi$
$992$	11.9977	−	114.151i	0.380928	−	3.62429i
$993$	−10.3317	−	3.35698i	−0.327867	−	0.106531i
$994$	20.0736	−	12.7058i	0.636695	−	0.403002i
$995$	0.801642	−	0.582427i	0.0254138	−	0.0184642i
$996$	33.3083	−	74.8116i	1.05541	−	2.37050i
$997$	41.3513	+	8.78949i	1.30961	+	0.278366i	0.809256	−	0.587456i	$-0.199870\pi$
$997$	41.3513	+	8.78949i	1.30961	+	0.278366i	0.500353	+	0.865822i	$0.333204\pi$
$998$	49.1630	−	44.2665i	1.55623	−	1.40123i
$999$	−4.17014	−	0.438299i	−0.131937	−	0.0138672i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	231.2.ba.a.73.16	yes	128
3.2	odd	2		693.2.cg.c.73.1		128
7.5	odd	6	inner	231.2.ba.a.40.1	yes	128
11.8	odd	10	inner	231.2.ba.a.52.1	yes	128
21.5	even	6		693.2.cg.c.271.16		128
33.8	even	10		693.2.cg.c.514.16		128
77.19	even	30	inner	231.2.ba.a.19.16	✓	128
231.173	odd	30		693.2.cg.c.19.1		128

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
231.2.ba.a.19.16	✓	128	77.19	even	30	inner
231.2.ba.a.40.1	yes	128	7.5	odd	6	inner
231.2.ba.a.52.1	yes	128	11.8	odd	10	inner
231.2.ba.a.73.16	yes	128	1.1	even	1	trivial
693.2.cg.c.19.1		128	231.173	odd	30
693.2.cg.c.73.1		128	3.2	odd	2
693.2.cg.c.271.16		128	21.5	even	6
693.2.cg.c.514.16		128	33.8	even	10

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:	\( N \)	\(=\)	\( 231 = 3 \cdot 7 \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	231.ba (of order \(30\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(2.65417 + 0.278965i) q^{2} +(-0.743145 + 0.669131i) q^{3} +(5.01052 + 1.06502i) q^{4} +(-0.0958279 + 0.215233i) q^{5} +(-2.15910 + 1.56868i) q^{6} +(-2.64356 + 0.107664i) q^{7} +(7.92533 + 2.57510i) q^{8} +(0.104528 - 0.994522i) q^{9} +O(q^{10})\)	\(q+(2.65417 + 0.278965i) q^{2} +(-0.743145 + 0.669131i) q^{3} +(5.01052 + 1.06502i) q^{4} +(-0.0958279 + 0.215233i) q^{5} +(-2.15910 + 1.56868i) q^{6} +(-2.64356 + 0.107664i) q^{7} +(7.92533 + 2.57510i) q^{8} +(0.104528 - 0.994522i) q^{9} +(-0.314386 + 0.544533i) q^{10} +(-1.24906 - 3.07243i) q^{11} +(-4.43618 + 2.56123i) q^{12} +(-3.01526 - 2.19072i) q^{13} +(-7.04650 - 0.451703i) q^{14} +(-0.0728050 - 0.224071i) q^{15} +(10.9577 + 4.87866i) q^{16} +(0.401870 + 3.82354i) q^{17} +(0.554873 - 2.61047i) q^{18} +(4.68129 - 0.995039i) q^{19} +(-0.709375 + 0.976371i) q^{20} +(1.89251 - 1.84890i) q^{21} +(-2.45813 - 8.50321i) q^{22} +(-2.07688 - 3.59726i) q^{23} +(-7.61275 + 3.38941i) q^{24} +(3.30851 + 3.67447i) q^{25} +(-7.39189 - 6.65569i) q^{26} +(0.587785 + 0.809017i) q^{27} +(-13.3603 - 2.27599i) q^{28} +(-3.14773 + 1.02276i) q^{29} +(-0.130729 - 0.615033i) q^{30} +(-3.04239 - 6.83333i) q^{31} +(13.2890 + 7.67242i) q^{32} +(2.98409 + 1.44748i) q^{33} +10.2604i q^{34} +(0.230154 - 0.579299i) q^{35} +(1.58293 - 4.87175i) q^{36} +(-2.80574 + 3.11609i) q^{37} +(12.7025 - 1.33509i) q^{38} +(3.70665 - 0.389585i) q^{39} +(-1.31371 + 1.45903i) q^{40} +(-1.45611 + 4.48144i) q^{41} +(5.53882 - 4.37935i) q^{42} +10.6448i q^{43} +(-2.98626 - 16.7248i) q^{44} +(0.204037 + 0.117801i) q^{45} +(-4.50889 - 10.1271i) q^{46} +(-0.775630 - 3.64905i) q^{47} +(-11.4076 + 3.70655i) q^{48} +(6.97682 - 0.569230i) q^{49} +(7.75631 + 10.6756i) q^{50} +(-2.85709 - 2.57254i) q^{51} +(-12.7749 - 14.1879i) q^{52} +(-5.81868 + 2.59064i) q^{53} +(1.33440 + 2.31124i) q^{54} +(0.780984 + 0.0255852i) q^{55} +(-21.2283 - 5.95415i) q^{56} +(-2.81307 + 3.87185i) q^{57} +(-8.63995 + 1.83648i) q^{58} +(0.532560 - 2.50550i) q^{59} +(-0.126151 - 1.20025i) q^{60} +(6.48807 + 2.88867i) q^{61} +(-6.16878 - 18.9856i) q^{62} +(-0.169254 + 2.64033i) q^{63} +(13.7233 + 9.97055i) q^{64} +(0.760461 - 0.439052i) q^{65} +(7.51651 + 4.67431i) q^{66} +(5.39141 - 9.33820i) q^{67} +(-2.05856 + 19.5859i) q^{68} +(3.95046 + 1.28358i) q^{69} +(0.772473 - 1.47335i) q^{70} +(-2.72196 + 1.97762i) q^{71} +(3.38941 - 7.61275i) q^{72} +(12.0098 + 2.55276i) q^{73} +(-8.31619 + 7.48793i) q^{74} +(-4.91741 - 0.516840i) q^{75} +24.5154 q^{76} +(3.63276 + 7.98768i) q^{77} +9.94677 q^{78} +(10.9330 + 1.14910i) q^{79} +(-2.10010 + 1.89094i) q^{80} +(-0.978148 - 0.207912i) q^{81} +(-5.11493 + 11.4883i) q^{82} +(-12.9336 + 9.39678i) q^{83} +(11.4515 - 7.24837i) q^{84} +(-0.861462 - 0.279906i) q^{85} +(-2.96953 + 28.2532i) q^{86} +(1.65486 - 2.86631i) q^{87} +(-1.98743 - 27.5665i) q^{88} +(-7.15365 + 4.13016i) q^{89} +(0.508688 + 0.369583i) q^{90} +(8.20688 + 5.46665i) q^{91} +(-6.57510 - 20.2361i) q^{92} +(6.83333 + 3.04239i) q^{93} +(-1.04070 - 9.90159i) q^{94} +(-0.234433 + 1.10292i) q^{95} +(-15.0095 + 3.19037i) q^{96} +(1.40251 - 1.93039i) q^{97} +(18.6765 + 0.435452i) q^{98} +(-3.18616 + 0.921064i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 128 q - 12 q^{4} + 12 q^{5} - 10 q^{7} - 40 q^{8} - 16 q^{9}+O(q^{10}) \) 128 * q - 12 * q^4 + 12 * q^5 - 10 * q^7 - 40 * q^8 - 16 * q^9	\( 128 q - 12 q^{4} + 12 q^{5} - 10 q^{7} - 40 q^{8} - 16 q^{9} - 2 q^{11} + 12 q^{14} + 12 q^{15} + 40 q^{16} - 60 q^{17} - 10 q^{18} + 52 q^{22} - 24 q^{23} - 90 q^{24} - 20 q^{25} + 24 q^{26} + 30 q^{28} + 40 q^{29} - 18 q^{31} + 18 q^{33} - 80 q^{35} - 24 q^{36} - 8 q^{37} - 24 q^{38} - 90 q^{40} + 14 q^{42} - 82 q^{44} + 12 q^{45} + 70 q^{46} - 24 q^{47} - 94 q^{49} - 20 q^{51} + 4 q^{53} - 104 q^{56} - 32 q^{58} + 48 q^{59} + 30 q^{61} - 10 q^{63} - 48 q^{64} + 36 q^{66} - 40 q^{67} + 180 q^{68} + 146 q^{70} - 32 q^{71} + 10 q^{72} + 90 q^{73} + 40 q^{74} - 24 q^{75} - 72 q^{78} + 50 q^{79} + 228 q^{80} + 16 q^{81} + 168 q^{82} - 60 q^{84} - 20 q^{85} + 146 q^{86} + 16 q^{88} + 48 q^{91} - 204 q^{92} + 44 q^{93} + 10 q^{95} - 44 q^{99}+O(q^{100}) \) 128 * q - 12 * q^4 + 12 * q^5 - 10 * q^7 - 40 * q^8 - 16 * q^9 - 2 * q^11 + 12 * q^14 + 12 * q^15 + 40 * q^16 - 60 * q^17 - 10 * q^18 + 52 * q^22 - 24 * q^23 - 90 * q^24 - 20 * q^25 + 24 * q^26 + 30 * q^28 + 40 * q^29 - 18 * q^31 + 18 * q^33 - 80 * q^35 - 24 * q^36 - 8 * q^37 - 24 * q^38 - 90 * q^40 + 14 * q^42 - 82 * q^44 + 12 * q^45 + 70 * q^46 - 24 * q^47 - 94 * q^49 - 20 * q^51 + 4 * q^53 - 104 * q^56 - 32 * q^58 + 48 * q^59 + 30 * q^61 - 10 * q^63 - 48 * q^64 + 36 * q^66 - 40 * q^67 + 180 * q^68 + 146 * q^70 - 32 * q^71 + 10 * q^72 + 90 * q^73 + 40 * q^74 - 24 * q^75 - 72 * q^78 + 50 * q^79 + 228 * q^80 + 16 * q^81 + 168 * q^82 - 60 * q^84 - 20 * q^85 + 146 * q^86 + 16 * q^88 + 48 * q^91 - 204 * q^92 + 44 * q^93 + 10 * q^95 - 44 * q^99

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