LMFDB - Embedded newform 192.2.s.a.11.17

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [192,2,Mod(11,192)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(192, base_ring=CyclotomicField(16))

chi = DirichletCharacter(H, H._module([8, 5, 8]))

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

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

chi := DirichletCharacter("192.11");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 192 = 2^{6} \cdot 3 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	192.s (of order $16$, 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:	$1.53312771881$
Analytic rank:	$0$
Dimension:	$240$
Relative dimension:	$30$ over $\Q(\zeta_{16})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{16}]$

Embedding invariants

Embedding label			11.17
Character	$\chi$	$=$	192.11
Dual form			192.2.s.a.35.17

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.273585 - 1.38750i) q^{2} +(-0.225071 + 1.71737i) q^{3} +(-1.85030 - 0.759198i) q^{4} +(-2.09602 + 1.40051i) q^{5} +(2.32126 + 0.782132i) q^{6} +(-1.76691 + 4.26571i) q^{7} +(-1.55960 + 2.35959i) q^{8} +(-2.89869 - 0.773059i) q^{9} +O(q^{10})$	\(q+(0.273585 - 1.38750i) q^{2} +(-0.225071 + 1.71737i) q^{3} +(-1.85030 - 0.759198i) q^{4} +(-2.09602 + 1.40051i) q^{5} +(2.32126 + 0.782132i) q^{6} +(-1.76691 + 4.26571i) q^{7} +(-1.55960 + 2.35959i) q^{8} +(-2.89869 - 0.773059i) q^{9} +(1.36977 + 3.29138i) q^{10} +(0.308673 - 1.55181i) q^{11} +(1.72027 - 3.00677i) q^{12} +(1.56261 - 2.33862i) q^{13} +(5.43526 + 3.61862i) q^{14} +(-1.93344 - 3.91484i) q^{15} +(2.84724 + 2.80949i) q^{16} +(0.231996 + 0.231996i) q^{17} +(-1.86566 + 3.81042i) q^{18} +(0.671007 - 1.00423i) q^{19} +(4.94153 - 1.00008i) q^{20} +(-6.92809 - 3.99452i) q^{21} +(-2.06868 - 0.852835i) q^{22} +(3.32565 + 8.02882i) q^{23} +(-3.70125 - 3.20948i) q^{24} +(0.518431 - 1.25160i) q^{25} +(-2.81732 - 2.80793i) q^{26} +(1.98004 - 4.80411i) q^{27} +(6.50784 - 6.55141i) q^{28} +(-7.19696 + 1.43156i) q^{29} +(-5.96080 + 1.61160i) q^{30} +8.76049 q^{31} +(4.67713 - 3.18190i) q^{32} +(2.59554 + 0.879372i) q^{33} +(0.385364 - 0.258423i) q^{34} +(-2.27070 - 11.4156i) q^{35} +(4.77654 + 3.63107i) q^{36} +(-0.912868 + 0.609959i) q^{37} +(-1.20979 - 1.20576i) q^{38} +(3.66456 + 3.20993i) q^{39} +(-0.0356818 - 7.12997i) q^{40} +(-1.58713 + 0.657409i) q^{41} +(-7.43782 + 8.51988i) q^{42} +(-0.927306 + 4.66188i) q^{43} +(-1.74927 + 2.63697i) q^{44} +(7.15837 - 2.43930i) q^{45} +(12.0498 - 2.41776i) q^{46} +(-7.41495 + 7.41495i) q^{47} +(-5.46575 + 4.25741i) q^{48} +(-10.1245 - 10.1245i) q^{49} +(-1.59476 - 1.06174i) q^{50} +(-0.450637 + 0.346206i) q^{51} +(-4.66678 + 3.14081i) q^{52} +(5.00871 + 0.996294i) q^{53} +(-6.12398 - 4.06163i) q^{54} +(1.52634 + 3.68491i) q^{55} +(-7.30962 - 10.8220i) q^{56} +(1.57361 + 1.37839i) q^{57} +(0.0173111 + 10.3774i) q^{58} +(-2.85498 - 4.27277i) q^{59} +(0.605309 + 8.71150i) q^{60} +(1.57915 - 0.314113i) q^{61} +(2.39674 - 12.1552i) q^{62} +(8.41937 - 10.9990i) q^{63} +(-3.13529 - 7.36002i) q^{64} +7.09024i q^{65} +(1.93023 - 3.36073i) q^{66} +(-0.148063 - 0.744362i) q^{67} +(-0.253131 - 0.605393i) q^{68} +(-14.5369 + 3.90429i) q^{69} +(-16.4603 + 0.0274583i) q^{70} +(5.28889 + 2.19073i) q^{71} +(6.34489 - 5.63403i) q^{72} +(1.72296 - 0.713674i) q^{73} +(0.596570 + 1.43348i) q^{74} +(2.03278 + 1.17204i) q^{75} +(-2.00398 + 1.34871i) q^{76} +(6.07415 + 4.05862i) q^{77} +(5.45635 - 4.20638i) q^{78} +(-2.96503 + 2.96503i) q^{79} +(-9.90259 - 1.90115i) q^{80} +(7.80476 + 4.48171i) q^{81} +(0.477940 + 2.38199i) q^{82} +(7.26287 + 4.85289i) q^{83} +(9.78644 + 12.6509i) q^{84} +(-0.811180 - 0.161354i) q^{85} +(6.21466 + 2.56206i) q^{86} +(-0.838690 - 12.6820i) q^{87} +(3.18021 + 3.14854i) q^{88} +(9.29433 + 3.84984i) q^{89} +(-1.42610 - 10.5996i) q^{90} +(7.21485 + 10.7978i) q^{91} +(-0.0579869 - 17.3806i) q^{92} +(-1.97173 + 15.0450i) q^{93} +(8.25960 + 12.3168i) q^{94} +3.04464i q^{95} +(4.41180 + 8.74849i) q^{96} -1.91613i q^{97} +(-16.8177 + 11.2778i) q^{98} +(-2.09438 + 4.25957i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 240 q - 8 q^{3} - 16 q^{4} - 8 q^{6} - 16 q^{7} - 8 q^{9}+O(q^{10}) $ 240 * q - 8 * q^3 - 16 * q^4 - 8 * q^6 - 16 * q^7 - 8 * q^9	$ 240 q - 8 q^{3} - 16 q^{4} - 8 q^{6} - 16 q^{7} - 8 q^{9} - 16 q^{10} - 8 q^{12} - 16 q^{13} - 8 q^{15} - 16 q^{16} - 8 q^{18} - 16 q^{19} - 8 q^{21} - 16 q^{22} - 48 q^{24} - 16 q^{25} - 8 q^{27} - 16 q^{28} - 88 q^{30} - 32 q^{31} - 16 q^{34} - 88 q^{36} - 16 q^{37} - 8 q^{39} - 16 q^{40} - 48 q^{42} - 16 q^{43} - 8 q^{45} - 16 q^{46} - 8 q^{48} - 16 q^{49} - 8 q^{51} + 32 q^{52} - 8 q^{54} - 80 q^{55} - 8 q^{57} + 128 q^{58} - 8 q^{60} - 16 q^{61} + 80 q^{64} - 24 q^{66} - 144 q^{67} - 8 q^{69} + 80 q^{70} - 8 q^{72} - 16 q^{73} - 8 q^{75} + 96 q^{76} + 16 q^{78} - 48 q^{79} - 8 q^{81} + 64 q^{82} + 104 q^{84} - 16 q^{85} - 8 q^{87} + 64 q^{88} + 136 q^{90} - 16 q^{91} - 32 q^{93} + 80 q^{94} + 128 q^{96} - 8 q^{99}+O(q^{100}) $ 240 * q - 8 * q^3 - 16 * q^4 - 8 * q^6 - 16 * q^7 - 8 * q^9 - 16 * q^10 - 8 * q^12 - 16 * q^13 - 8 * q^15 - 16 * q^16 - 8 * q^18 - 16 * q^19 - 8 * q^21 - 16 * q^22 - 48 * q^24 - 16 * q^25 - 8 * q^27 - 16 * q^28 - 88 * q^30 - 32 * q^31 - 16 * q^34 - 88 * q^36 - 16 * q^37 - 8 * q^39 - 16 * q^40 - 48 * q^42 - 16 * q^43 - 8 * q^45 - 16 * q^46 - 8 * q^48 - 16 * q^49 - 8 * q^51 + 32 * q^52 - 8 * q^54 - 80 * q^55 - 8 * q^57 + 128 * q^58 - 8 * q^60 - 16 * q^61 + 80 * q^64 - 24 * q^66 - 144 * q^67 - 8 * q^69 + 80 * q^70 - 8 * q^72 - 16 * q^73 - 8 * q^75 + 96 * q^76 + 16 * q^78 - 48 * q^79 - 8 * q^81 + 64 * q^82 + 104 * q^84 - 16 * q^85 - 8 * q^87 + 64 * q^88 + 136 * q^90 - 16 * q^91 - 32 * q^93 + 80 * q^94 + 128 * q^96 - 8 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/192\mathbb{Z}\right)^\times$.

$n$	$65$	$127$	$133$
$\chi(n)$	$-1$	$-1$	$e\left(\frac{5}{16}\right)$

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 $

$2$	0.273585	−	1.38750i	0.193454	−	0.981109i
$2$	0.273585	−	1.38750i	0.193454	−	0.981109i
$3$	−0.225071	+	1.71737i	−0.129945	+	0.991521i
$3$	−0.225071	+	1.71737i	−0.129945	+	0.991521i
$4$	−1.85030	−	0.759198i	−0.925151	−	0.379599i
$5$	−2.09602	+	1.40051i	−0.937367	+	0.626329i	−0.927581	−	0.373623i	$-0.878115\pi$
$5$	−2.09602	+	1.40051i	−0.937367	+	0.626329i	−0.00978677	+	0.999952i	$0.503115\pi$
$6$	2.32126	+	0.782132i	0.947652	+	0.319304i
$7$	−1.76691	+	4.26571i	−0.667831	+	1.61229i	0.117402	+	0.993085i	$0.462543\pi$
$7$	−1.76691	+	4.26571i	−0.667831	+	1.61229i	−0.785232	+	0.619201i	$0.787457\pi$
$8$	−1.55960	+	2.35959i	−0.551402	+	0.834240i
$9$	−2.89869	−	0.773059i	−0.966229	−	0.257686i
$10$	1.36977	+	3.29138i	0.433160	+	1.04083i
$11$	0.308673	−	1.55181i	0.0930685	−	0.467887i	−0.905942	−	0.423403i	$-0.860836\pi$
$11$	0.308673	−	1.55181i	0.0930685	−	0.467887i	0.999010	−	0.0444843i	$-0.0141645\pi$
$12$	1.72027	−	3.00677i	0.496599	−	0.867980i
$13$	1.56261	−	2.33862i	0.433391	−	0.648616i	−0.548919	−	0.835875i	$-0.684961\pi$
$13$	1.56261	−	2.33862i	0.433391	−	0.648616i	0.982310	+	0.187260i	$0.0599606\pi$
$14$	5.43526	+	3.61862i	1.45263	+	0.967118i
$15$	−1.93344	−	3.91484i	−0.499212	−	1.01081i
$16$	2.84724	+	2.80949i	0.711809	+	0.702373i
$17$	0.231996	+	0.231996i	0.0562672	+	0.0562672i	0.734680	−	0.678413i	$-0.237332\pi$
$17$	0.231996	+	0.231996i	0.0562672	+	0.0562672i	−0.678413	+	0.734680i	$0.737332\pi$
$18$	−1.86566	+	3.81042i	−0.439739	+	0.898125i
$19$	0.671007	−	1.00423i	0.153939	−	0.230387i	−0.746482	−	0.665406i	$-0.768258\pi$
$19$	0.671007	−	1.00423i	0.153939	−	0.230387i	0.900421	+	0.435019i	$0.143258\pi$
$20$	4.94153	−	1.00008i	1.10496	−	0.223625i
$21$	−6.92809	−	3.99452i	−1.51183	−	0.871677i
$22$	−2.06868	−	0.852835i	−0.441044	−	0.181825i
$23$	3.32565	+	8.02882i	0.693445	+	1.67412i	0.737721	+	0.675105i	$0.235902\pi$
$23$	3.32565	+	8.02882i	0.693445	+	1.67412i	−0.0442763	+	0.999019i	$0.514098\pi$
$24$	−3.70125	−	3.20948i	−0.755514	−	0.655132i
$25$	0.518431	−	1.25160i	0.103686	−	0.250321i
$26$	−2.81732	−	2.80793i	−0.552522	−	0.550681i
$27$	1.98004	−	4.80411i	0.381058	−	0.924551i
$28$	6.50784	−	6.55141i	1.22987	−	1.23810i
$29$	−7.19696	+	1.43156i	−1.33644	+	0.265835i	−0.811026	−	0.585010i	$-0.801090\pi$
$29$	−7.19696	+	1.43156i	−1.33644	+	0.265835i	−0.525416	+	0.850845i	$0.676090\pi$
$30$	−5.96080	+	1.61160i	−1.08829	+	0.294237i
$31$	8.76049			1.57343			0.786715	−	0.617316i	$-0.211780\pi$
$31$	8.76049			1.57343			0.786715	+	0.617316i	$0.211780\pi$
$32$	4.67713	−	3.18190i	0.826807	−	0.562486i
$33$	2.59554	+	0.879372i	0.451826	+	0.153079i
$34$	0.385364	−	0.258423i	0.0660894	−	0.0443192i
$35$	−2.27070	−	11.4156i	−0.383818	−	1.92959i
$36$	4.77654	+	3.63107i	0.796090	+	0.605178i
$37$	−0.912868	+	0.609959i	−0.150075	+	0.100277i	−0.628341	−	0.777938i	$-0.716266\pi$
$37$	−0.912868	+	0.609959i	−0.150075	+	0.100277i	0.478266	+	0.878215i	$0.341266\pi$
$38$	−1.20979	−	1.20576i	−0.196254	−	0.195601i
$39$	3.66456	+	3.20993i	0.586799	+	0.514001i
$40$	−0.0356818	−	7.12997i	−0.00564180	−	1.12735i
$41$	−1.58713	+	0.657409i	−0.247867	+	0.102670i	−0.503158	−	0.864194i	$-0.667829\pi$
$41$	−1.58713	+	0.657409i	−0.247867	+	0.102670i	0.255291	+	0.966864i	$0.417829\pi$
$42$	−7.43782	+	8.51988i	−1.14768	+	1.31465i
$43$	−0.927306	+	4.66188i	−0.141413	+	0.710931i	0.843396	+	0.537292i	$0.180553\pi$
$43$	−0.927306	+	4.66188i	−0.141413	+	0.710931i	−0.984809	+	0.173639i	$0.944447\pi$
$44$	−1.74927	+	2.63697i	−0.263712	+	0.397537i
$45$	7.15837	−	2.43930i	1.06711	−	0.363630i
$46$	12.0498	−	2.41776i	1.77665	−	0.356479i
$47$	−7.41495	+	7.41495i	−1.08158	+	1.08158i	−0.0852189	+	0.996362i	$0.527159\pi$
$47$	−7.41495	+	7.41495i	−1.08158	+	1.08158i	−0.996362	+	0.0852189i	$0.972841\pi$
$48$	−5.46575	+	4.25741i	−0.788914	+	0.614504i
$49$	−10.1245	−	10.1245i	−1.44636	−	1.44636i
$50$	−1.59476	−	1.06174i	−0.225533	−	0.150153i
$51$	−0.450637	+	0.346206i	−0.0631018	+	0.0484785i
$52$	−4.66678	+	3.14081i	−0.647166	+	0.435553i
$53$	5.00871	+	0.996294i	0.687999	+	0.136852i	0.526696	−	0.850053i	$-0.323430\pi$
$53$	5.00871	+	0.996294i	0.687999	+	0.136852i	0.161303	+	0.986905i	$0.448430\pi$
$54$	−6.12398	−	4.06163i	−0.833369	−	0.552718i
$55$	1.52634	+	3.68491i	0.205812	+	0.496873i
$56$	−7.30962	−	10.8220i	−0.976789	−	1.44615i
$57$	1.57361	+	1.37839i	0.208430	+	0.182572i
$58$	0.0173111	+	10.3774i	0.00227306	+	1.36262i
$59$	−2.85498	−	4.27277i	−0.371686	−	0.556268i	0.597728	−	0.801699i	$-0.296070\pi$
$59$	−2.85498	−	4.27277i	−0.371686	−	0.556268i	−0.969414	+	0.245431i	$0.921070\pi$
$60$	0.605309	+	8.71150i	0.0781450	+	1.12465i
$61$	1.57915	−	0.314113i	0.202190	−	0.0402180i	−0.0929563	−	0.995670i	$-0.529632\pi$
$61$	1.57915	−	0.314113i	0.202190	−	0.0402180i	0.295146	+	0.955452i	$0.404632\pi$
$62$	2.39674	−	12.1552i	0.304386	−	1.54371i
$63$	8.41937	−	10.9990i	1.06074	−	1.38575i
$64$	−3.13529	−	7.36002i	−0.391911	−	0.920003i
$65$			7.09024i			0.879436i
$66$	1.93023	−	3.36073i	0.237595	−	0.413677i
$67$	−0.148063	−	0.744362i	−0.0180888	−	0.0909383i	0.970686	−	0.240350i	$-0.0772621\pi$
$67$	−0.148063	−	0.744362i	−0.0180888	−	0.0909383i	−0.988775	+	0.149411i	$0.952262\pi$
$68$	−0.253131	−	0.605393i	−0.0306967	−	0.0734147i
$69$	−14.5369	+	3.90429i	−1.75004	+	0.470021i
$70$	−16.4603	+	0.0274583i	−1.96739	+	0.00328189i
$71$	5.28889	+	2.19073i	0.627676	+	0.259992i	0.673765	−	0.738946i	$-0.264676\pi$
$71$	5.28889	+	2.19073i	0.627676	+	0.259992i	−0.0460895	+	0.998937i	$0.514676\pi$
$72$	6.34489	−	5.63403i	0.747753	−	0.663977i
$73$	1.72296	−	0.713674i	0.201657	−	0.0835292i	−0.279569	−	0.960126i	$-0.590192\pi$
$73$	1.72296	−	0.713674i	0.201657	−	0.0835292i	0.481226	+	0.876596i	$0.340192\pi$
$74$	0.596570	+	1.43348i	0.0693499	+	0.166639i
$75$	2.03278	+	1.17204i	0.234725	+	0.135335i
$76$	−2.00398	+	1.34871i	−0.229872	+	0.154707i
$77$	6.07415	+	4.05862i	0.692214	+	0.462522i
$78$	5.45635	−	4.20638i	0.617810	−	0.476279i
$79$	−2.96503	+	2.96503i	−0.333592	+	0.333592i	−0.853949	−	0.520357i	$-0.825799\pi$
$79$	−2.96503	+	2.96503i	−0.333592	+	0.333592i	0.520357	+	0.853949i	$0.325799\pi$
$80$	−9.90259	−	1.90115i	−1.10714	−	0.212555i
$81$	7.80476	+	4.48171i	0.867195	+	0.497968i
$82$	0.477940	+	2.38199i	0.0527796	+	0.263047i
$83$	7.26287	+	4.85289i	0.797203	+	0.532674i	0.886170	−	0.463360i	$-0.153356\pi$
$83$	7.26287	+	4.85289i	0.797203	+	0.532674i	−0.0889665	+	0.996035i	$0.528356\pi$
$84$	9.78644	+	12.6509i	1.06779	+	1.38032i
$85$	−0.811180	−	0.161354i	−0.0879848	−	0.0175013i
$86$	6.21466	+	2.56206i	0.670144	+	0.276274i
$87$	−0.838690	−	12.6820i	−0.0899170	−	1.35965i
$88$	3.18021	+	3.14854i	0.339012	+	0.335635i
$89$	9.29433	+	3.84984i	0.985197	+	0.408082i	0.816348	−	0.577560i	$-0.195995\pi$
$89$	9.29433	+	3.84984i	0.985197	+	0.408082i	0.168849	+	0.985642i	$0.445995\pi$
$90$	−1.42610	−	10.5996i	−0.150325	−	1.11729i
$91$	7.21485	+	10.7978i	0.756322	+	1.13192i
$92$	−0.0579869	−	17.3806i	−0.00604555	−	1.81205i
$93$	−1.97173	+	15.0450i	−0.204459	+	1.56009i
$94$	8.25960	+	12.3168i	0.851913	+	1.27039i
$95$			3.04464i			0.312374i
$96$	4.41180	+	8.74849i	0.450277	+	0.892889i
$97$		−	1.91613i		−	0.194553i	−0.995257	−	0.0972767i	$-0.968987\pi$
$97$		−	1.91613i		−	0.194553i	0.995257	−	0.0972767i	$-0.0310132\pi$
$98$	−16.8177	+	11.2778i	−1.69884	+	1.13923i
$99$	−2.09438	+	4.25957i	−0.210494	+	0.428103i
$100$	−1.90947	+	1.92225i	−0.190947	+	0.192225i
$101$	−3.09903	−	4.63802i	−0.308365	−	0.461500i	0.644627	−	0.764497i	$-0.277013\pi$
$101$	−3.09903	−	4.63802i	−0.308365	−	0.461500i	−0.952991	+	0.302997i	$0.902013\pi$
$102$	0.357072	+	0.719975i	0.0353554	+	0.0712881i
$103$	−8.86033	−	3.67007i	−0.873034	−	0.361623i	−0.0992428	−	0.995063i	$-0.531642\pi$
$103$	−8.86033	−	3.67007i	−0.873034	−	0.361623i	−0.773791	+	0.633441i	$0.781642\pi$
$104$	3.08111	+	7.33443i	0.302128	+	0.719200i
$105$	20.1158	−	1.33030i	1.96310	−	0.129824i
$106$	2.75267	−	6.67700i	0.267362	−	0.648528i
$107$	12.0095	+	2.38884i	1.16100	+	0.230938i	0.737750	−	0.675074i	$-0.235888\pi$
$107$	12.0095	+	2.38884i	1.16100	+	0.230938i	0.423253	+	0.906012i	$0.360888\pi$
$108$	−7.31093	+	7.38581i	−0.703495	+	0.710700i
$109$	2.74387	+	1.83339i	0.262815	+	0.175607i	0.679995	−	0.733216i	$-0.261982\pi$
$109$	2.74387	+	1.83339i	0.262815	+	0.175607i	−0.417181	+	0.908824i	$0.636982\pi$
$110$	5.53039	−	1.10966i	0.527302	−	0.105802i
$111$	−0.842062	−	1.70501i	−0.0799250	−	0.161833i
$112$	−17.0153	+	7.18135i	−1.60779	+	0.678574i
$113$	10.9915	−	10.9915i	1.03400	−	1.03400i	0.0345960	−	0.999401i	$-0.488986\pi$
$113$	10.9915	−	10.9915i	1.03400	−	1.03400i	0.999401	−	0.0345960i	$-0.0110144\pi$
$114$	2.34303	−	1.80627i	0.219444	−	0.169173i
$115$	−18.2151	−	12.1709i	−1.69857	−	1.13494i
$116$	14.4034	+	2.81509i	1.33732	+	0.261375i
$117$	−6.33742	+	5.57092i	−0.585894	+	0.515032i
$118$	−6.70955	+	2.79231i	−0.617664	+	0.257053i
$119$	−1.39954	+	0.579709i	−0.128296	+	0.0531419i
$120$	12.2528	+	1.54347i	1.11852	+	0.140899i
$121$	7.84985	+	3.25152i	0.713623	+	0.295592i
$122$	−0.00379839	−	2.27701i	−0.000343890	−	0.206151i
$123$	−0.771795	−	2.87364i	−0.0695904	−	0.259107i
$124$	−16.2096	−	6.65095i	−1.45566	−	0.597273i
$125$	−1.79273	−	9.01265i	−0.160346	−	0.806116i
$126$	−12.9577	−	14.6910i	−1.15436	−	1.30878i
$127$		−	5.27296i		−	0.467899i	−0.972249	−	0.233950i	$-0.924835\pi$
$127$		−	5.27296i		−	0.467899i	0.972249	−	0.233950i	$-0.0751651\pi$
$128$	−11.0698	+	2.33661i	−0.978440	+	0.206529i
$129$	−7.79745	−	2.64178i	−0.686527	−	0.232596i
$130$	9.83770	+	1.93979i	0.862823	+	0.170130i
$131$	−11.1714	+	2.22214i	−0.976053	+	0.194149i	−0.657250	−	0.753672i	$-0.728281\pi$
$131$	−11.1714	+	2.22214i	−0.976053	+	0.194149i	−0.318802	+	0.947821i	$0.603281\pi$
$132$	−4.13492	−	3.59763i	−0.359899	−	0.313134i
$133$	3.09815	+	4.63671i	0.268644	+	0.402054i
$134$	−1.07331	+	0.00179044i	−0.0927198	+	0.000154670i
$135$	2.57803	+	12.8426i	0.221882	+	1.10531i
$136$	−0.909234	+	0.185593i	−0.0779662	+	0.0159145i
$137$	1.53232	+	3.69935i	0.130915	+	0.316057i	0.975721	−	0.219015i	$-0.0702844\pi$
$137$	1.53232	+	3.69935i	0.130915	+	0.316057i	−0.844806	+	0.535072i	$0.820284\pi$
$138$	1.44011	+	21.2381i	0.122590	+	1.80791i
$139$	7.39615	+	1.47119i	0.627333	+	0.124784i	0.498511	−	0.866883i	$-0.333880\pi$
$139$	7.39615	+	1.47119i	0.627333	+	0.124784i	0.128822	+	0.991668i	$0.458880\pi$
$140$	−4.46520	+	22.8462i	−0.377379	+	1.93086i
$141$	−11.0653	−	14.4031i	−0.931865	−	1.21296i
$142$	4.48659	−	6.73897i	0.376507	−	0.565522i
$143$	−3.14674	−	3.14674i	−0.263144	−	0.263144i
$144$	−6.08134	−	10.3449i	−0.506779	−	0.862076i
$145$	13.0800	−	13.0800i	1.08624	−	1.08624i
$146$	−0.518845	−	2.58586i	−0.0429399	−	0.214007i
$147$	19.6662	−	15.1088i	1.62204	−	1.24615i
$148$	2.15216	−	0.435561i	0.176907	−	0.0358029i
$149$	−1.65934	+	8.34206i	−0.135938	+	0.683408i	0.851366	+	0.524571i	$0.175774\pi$
$149$	−1.65934	+	8.34206i	−0.135938	+	0.683408i	−0.987305	+	0.158837i	$0.949226\pi$
$150$	2.18233	−	2.49982i	0.178187	−	0.204110i
$151$	−21.7676	+	9.01645i	−1.77142	+	0.733748i	−0.776855	+	0.629680i	$0.783186\pi$
$151$	−21.7676	+	9.01645i	−1.77142	+	0.733748i	−0.994570	+	0.104068i	$0.966814\pi$
$152$	1.32307	+	3.14950i	0.107315	+	0.255458i
$153$	−0.493136	−	0.851829i	−0.0398677	−	0.0688663i
$154$	7.29312	−	7.31749i	0.587696	−	0.589660i
$155$	−18.3621	+	12.2692i	−1.47488	+	0.985485i
$156$	−4.34357	−	8.72147i	−0.347764	−	0.698277i
$157$	−1.87227	−	9.41252i	−0.149423	−	0.751200i	−0.980727	−	0.195383i	$-0.937405\pi$
$157$	−1.87227	−	9.41252i	−0.149423	−	0.751200i	0.831304	−	0.555818i	$-0.187595\pi$
$158$	3.30279	+	4.92516i	0.262756	+	0.391825i
$159$	−2.83832	+	8.37754i	−0.225093	+	0.664383i
$160$	−5.34704	+	13.2197i	−0.422721	+	1.04511i
$161$	−40.1247			−3.16227
$162$	8.35363	−	9.60296i	0.656323	−	0.754480i
$163$	−14.9563	+	2.97499i	−1.17147	+	0.233020i	−0.742213	−	0.670164i	$-0.766224\pi$
$163$	−14.9563	+	2.97499i	−1.17147	+	0.233020i	−0.429255	+	0.903183i	$0.641224\pi$
$164$	3.43577	−	0.0114628i	0.268288	−	0.000895092i
$165$	−6.67188	+	1.79192i	−0.519405	+	0.139500i
$166$	8.72039	−	8.74954i	0.676834	−	0.679096i
$167$	−4.47922	+	10.8138i	−0.346613	+	0.836797i	0.650402	+	0.759590i	$0.274600\pi$
$167$	−4.47922	+	10.8138i	−0.346613	+	0.836797i	−0.997015	+	0.0772071i	$0.975400\pi$
$168$	20.2305	−	10.1176i	1.56082	−	0.780587i
$169$	1.94752	+	4.70173i	0.149809	+	0.361671i
$170$	−0.445805	+	1.08137i	−0.0341917	+	0.0829370i
$171$	−2.72137	+	2.39223i	−0.208108	+	0.182938i
$172$	5.25509	−	7.92189i	0.400697	−	0.604038i
$173$	9.98787	−	14.9479i	0.759364	−	1.13647i	−0.227321	−	0.973820i	$-0.572997\pi$
$173$	9.98787	−	14.9479i	0.759364	−	1.13647i	0.986684	−	0.162648i	$-0.0520034\pi$
$174$	−17.8257	−	2.30593i	−1.35136	−	0.174812i
$175$	4.42295	+	4.42295i	0.334344	+	0.334344i
$176$	5.23865	−	3.55114i	0.394878	−	0.267677i
$177$	7.98049	−	3.94136i	0.599850	−	0.296251i
$178$	7.88443	−	11.8426i	0.590963	−	0.887641i
$179$	5.34457	−	7.99871i	0.399472	−	0.597851i	−0.576141	−	0.817350i	$-0.695442\pi$
$179$	5.34457	−	7.99871i	0.399472	−	0.597851i	0.975613	+	0.219499i	$0.0704422\pi$
$180$	−15.0971	−	0.921173i	−1.12527	−	0.0686602i
$181$	0.817442	−	4.10956i	0.0607600	−	0.305461i	−0.938440	−	0.345441i	$-0.887729\pi$
$181$	0.817442	−	4.10956i	0.0607600	−	0.305461i	0.999200	+	0.0399798i	$0.0127294\pi$
$182$	16.9558	−	7.05648i	1.25685	−	0.523061i
$183$	0.184025	+	2.78268i	0.0136035	+	0.205702i
$184$	−24.1314	−	4.67461i	−1.77899	−	0.344617i
$185$	1.05913	−	2.55697i	0.0778689	−	0.187992i
$186$	20.3354	+	6.85186i	1.49107	+	0.502402i
$187$	0.431623	−	0.288401i	0.0315634	−	0.0210900i
$188$	19.3493	−	8.09048i	1.41119	−	0.590059i
$189$	16.9944	+	16.9347i	1.23616	+	1.23182i
$190$	4.22444	+	0.832969i	0.306473	+	0.0604299i
$191$	7.75407			0.561065			0.280532	−	0.959845i	$-0.409489\pi$
$191$	7.75407			0.561065			0.280532	+	0.959845i	$0.409489\pi$
$192$	13.3455	−	3.72791i	0.963129	−	0.269038i
$193$	20.0119			1.44049			0.720243	−	0.693722i	$-0.244030\pi$
$193$	20.0119			1.44049			0.720243	+	0.693722i	$0.244030\pi$
$194$	−2.65862	−	0.524224i	−0.190878	−	0.0376371i
$195$	−12.1765	−	1.59581i	−0.871980	−	0.114278i
$196$	11.0469	+	26.4200i	0.789065	+	1.88714i
$197$	7.95170	−	5.31316i	0.566535	−	0.378547i	−0.239067	−	0.971003i	$-0.576842\pi$
$197$	7.95170	−	5.31316i	0.566535	−	0.378547i	0.805603	+	0.592456i	$0.201842\pi$
$198$	5.33716	+	4.07131i	0.379295	+	0.289335i
$199$	8.08825	−	19.5268i	0.573361	−	1.38422i	−0.325317	−	0.945605i	$-0.605471\pi$
$199$	8.08825	−	19.5268i	0.573361	−	1.38422i	0.898677	−	0.438610i	$-0.144529\pi$
$200$	2.14472	+	3.17529i	0.151655	+	0.224527i
$201$	1.31167	−	0.0867434i	0.0925178	−	0.00611841i
$202$	−7.28309	+	3.03100i	−0.512436	+	0.213260i
$203$	6.60977	−	33.2296i	0.463915	−	2.33226i
$204$	1.09665	−	0.298463i	0.0767811	−	0.0208966i
$205$	2.40593	−	3.60073i	0.168038	−	0.251486i
$206$	−7.51627	+	11.2896i	−0.523683	+	0.786585i
$207$	−3.43325	−	25.8439i	−0.238627	−	1.79628i
$208$	11.0195	−	2.26845i	0.764062	−	0.157288i
$209$	−1.35125	−	1.35125i	−0.0934680	−	0.0934680i
$210$	3.65759	−	28.2746i	0.252398	−	1.95113i
$211$	−13.0092	+	19.4696i	−0.895587	+	1.34034i	0.0443582	+	0.999016i	$0.485876\pi$
$211$	−13.0092	+	19.4696i	−0.895587	+	1.34034i	−0.939945	+	0.341325i	$0.889124\pi$
$212$	−8.51124	−	5.64605i	−0.584554	−	0.387772i
$213$	−4.95266	+	8.58988i	−0.339351	+	0.588569i
$214$	6.60013	−	16.0096i	0.451176	−	1.09440i
$215$	−4.58538	−	11.0701i	−0.312721	−	0.754974i
$216$	8.24764	+	12.1646i	0.561181	+	0.827693i
$217$	−15.4790	+	37.3697i	−1.05078	+	2.53682i
$218$	3.29451	−	3.30552i	0.223133	−	0.223878i
$219$	0.837850	+	3.11958i	0.0566166	+	0.210802i
$220$	−0.0266137	−	7.97700i	−0.00179430	−	0.537809i
$221$	0.905069	−	0.180029i	0.0608815	−	0.0121101i
$222$	−2.59608	+	0.701893i	−0.174237	+	0.0471080i
$223$	4.05387			0.271467			0.135734	−	0.990745i	$-0.456661\pi$
$223$	4.05387			0.271467			0.135734	+	0.990745i	$0.456661\pi$
$224$	5.30898	+	25.5734i	0.354721	+	1.70869i
$225$	−2.47033	+	3.22723i	−0.164689	+	0.215149i
$226$	−12.2436	−	18.2579i	−0.814434	−	1.21450i
$227$	0.0402731	+	0.202467i	0.00267302	+	0.0134382i	0.982099	−	0.188367i	$-0.0603193\pi$
$227$	0.0402731	+	0.202467i	0.00267302	+	0.0134382i	−0.979426	+	0.201805i	$0.935319\pi$
$228$	−1.86518	−	3.74511i	−0.123525	−	0.248026i
$229$	−18.0218	+	12.0418i	−1.19091	+	0.795742i	−0.983215	−	0.182452i	$-0.941597\pi$
$229$	−18.0218	+	12.0418i	−1.19091	+	0.795742i	−0.207697	+	0.978193i	$0.566597\pi$
$230$	−21.8705	+	21.9436i	−1.44210	+	1.44692i
$231$	−8.33724	+	9.51805i	−0.548550	+	0.626242i
$232$	7.84649	−	19.2145i	0.515147	−	1.26149i
$233$	−18.4945	+	7.66067i	−1.21161	+	0.501867i	−0.894734	−	0.446599i	$-0.852635\pi$
$233$	−18.4945	+	7.66067i	−1.21161	+	0.501867i	−0.316880	+	0.948466i	$0.602635\pi$
$234$	5.99582	+	10.3173i	0.391959	+	0.674461i
$235$	5.15712	−	25.9266i	0.336413	−	1.69126i
$236$	2.03869	+	10.0734i	0.132707	+	0.655724i
$237$	−4.42470	−	5.75938i	−0.287415	−	0.374112i
$238$	0.421452	+	2.10046i	0.0273186	+	0.136153i
$239$	1.30099	−	1.30099i	0.0841539	−	0.0841539i	−0.663777	−	0.747931i	$-0.731048\pi$
$239$	1.30099	−	1.30099i	0.0841539	−	0.0841539i	0.747931	+	0.663777i	$0.231048\pi$
$240$	5.49375	−	16.5785i	0.354620	−	1.07014i
$241$	0.336954	+	0.336954i	0.0217051	+	0.0217051i	0.717876	−	0.696171i	$-0.245114\pi$
$241$	0.336954	+	0.336954i	0.0217051	+	0.0217051i	−0.696171	+	0.717876i	$0.745114\pi$
$242$	6.65908	−	10.0021i	0.428062	−	0.642959i
$243$	−9.45336	+	12.3949i	−0.606433	+	0.795134i
$244$	−3.16038	−	0.617686i	−0.202323	−	0.0395433i
$245$	35.4007	+	7.04164i	2.26167	+	0.449874i
$246$	−4.19832	+	0.284679i	−0.267675	+	0.0181505i
$247$	−1.29999	−	3.13845i	−0.0827164	−	0.199695i
$248$	−13.6629	+	20.6711i	−0.867593	+	1.31262i
$249$	−9.96885	+	11.3808i	−0.631750	+	0.721226i
$250$	−12.9955	+	0.0216784i	−0.821908	+	0.00137106i
$251$	−4.43378	−	6.63562i	−0.279858	−	0.418837i	0.664736	−	0.747078i	$-0.268544\pi$
$251$	−4.43378	−	6.63562i	−0.279858	−	0.418837i	−0.944594	+	0.328241i	$0.893544\pi$
$252$	−23.9288	+	13.9595i	−1.50737	+	0.879368i
$253$	13.4857	−	2.68247i	0.847839	−	0.168646i
$254$	−7.31622	−	1.44260i	−0.459060	−	0.0905170i
$255$	0.459677	−	1.35678i	0.0287861	−	0.0849646i
$256$	0.213517	+	15.9986i	0.0133448	+	0.999911i
$257$		−	8.10011i		−	0.505271i	−0.967562	−	0.252636i	$-0.918703\pi$
$257$		−	8.10011i		−	0.505271i	0.967562	−	0.252636i	$-0.0812974\pi$
$258$	−5.79873	+	10.0962i	−0.361013	+	0.628561i
$259$	−0.988948	−	4.97177i	−0.0614502	−	0.308931i
$260$	5.38290	−	13.1191i	0.333833	−	0.813611i
$261$	21.9684	+	1.41402i	1.35981	+	0.0875257i
$262$	0.0268710	+	16.1083i	0.00166010	+	0.995173i
$263$	−1.74908	−	0.724494i	−0.107853	−	0.0446742i	0.328104	−	0.944641i	$-0.393590\pi$
$263$	−1.74908	−	0.724494i	−0.107853	−	0.0446742i	−0.435958	+	0.899967i	$0.643590\pi$
$264$	−6.12297	+	4.75294i	−0.376842	+	0.292523i
$265$	−11.8937	+	4.92652i	−0.730622	+	0.302634i
$266$	7.28103	−	3.03014i	0.446429	−	0.185790i
$267$	−8.70346	+	15.0953i	−0.532643	+	0.923815i
$268$	−0.291157	+	1.48970i	−0.0177853	+	0.0909982i
$269$	5.63744	+	3.76682i	0.343721	+	0.229667i	0.715433	−	0.698681i	$-0.246229\pi$
$269$	5.63744	+	3.76682i	0.343721	+	0.229667i	−0.371713	+	0.928348i	$0.621229\pi$
$270$	18.5243	−	0.0634793i	1.12736	−	0.00386323i
$271$	−1.66721	+	1.66721i	−0.101276	+	0.101276i	−0.755929	−	0.654653i	$-0.772815\pi$
$271$	−1.66721	+	1.66721i	−0.101276	+	0.101276i	0.654653	+	0.755929i	$0.272815\pi$
$272$	0.00875681	+	1.31234i	0.000530960	+	0.0795721i
$273$	−20.1676	+	9.96026i	−1.22060	+	0.602822i
$274$	5.55206	−	1.11401i	0.335412	−	0.0672995i
$275$	−1.78222	−	1.19084i	−0.107472	−	0.0718104i
$276$	29.8618	+	3.81228i	1.79747	+	0.229472i
$277$	16.1073	+	3.20394i	0.967793	+	0.192506i	0.653589	−	0.756850i	$-0.273262\pi$
$277$	16.1073	+	3.20394i	0.967793	+	0.192506i	0.314204	+	0.949356i	$0.398262\pi$
$278$	4.06475	−	9.85965i	0.243787	−	0.591343i
$279$	−25.3939	−	6.77238i	−1.52029	−	0.405452i
$280$	30.4774	+	12.4458i	1.82137	+	0.743781i
$281$	−1.09929	−	0.455343i	−0.0655784	−	0.0271635i	0.349653	−	0.936879i	$-0.386299\pi$
$281$	−1.09929	−	0.455343i	−0.0655784	−	0.0271635i	−0.415232	+	0.909716i	$0.636299\pi$
$282$	−23.0115	+	11.4126i	−1.37032	+	0.679610i
$283$	8.30724	+	12.4327i	0.493814	+	0.739045i	0.991753	−	0.128167i	$-0.0409094\pi$
$283$	8.30724	+	12.4327i	0.493814	+	0.739045i	−0.497938	+	0.867213i	$0.665909\pi$
$284$	−8.12284	−	8.06882i	−0.482002	−	0.478797i
$285$	−5.22876	−	0.685262i	−0.309725	−	0.0405914i
$286$	−5.22700	+	3.50520i	−0.309079	+	0.207267i
$287$		−	7.93180i		−	0.468199i
$288$	−16.0173	+	5.60764i	−0.943829	+	0.330433i
$289$		−	16.8924i		−	0.993668i
$290$	−14.5700	−	21.7270i	−0.855580	−	1.27585i
$291$	3.29069	+	0.431266i	0.192904	+	0.0252812i
$292$	−3.72982	+	0.0124438i	−0.218271	+	0.000728220i
$293$	−8.38628	−	12.5510i	−0.489932	−	0.733234i	0.501314	−	0.865265i	$-0.332850\pi$
$293$	−8.38628	−	12.5510i	−0.489932	−	0.733234i	−0.991246	+	0.132031i	$0.957850\pi$
$294$	−15.5830	−	31.4204i	−0.908819	−	1.83248i
$295$	11.9682	+	4.95737i	0.696813	+	0.288629i
$296$	−0.0155403	−	3.10528i	−0.000903264	−	0.180491i
$297$	−6.84386	−	4.55553i	−0.397121	−	0.264339i
$298$	11.1206	+	4.58459i	0.644200	+	0.265578i
$299$	23.9730	+	4.76853i	1.38640	+	0.275771i
$300$	−2.87144	−	3.71190i	−0.165783	−	0.214307i
$301$	−18.2478	−	12.1928i	−1.05178	−	0.702779i
$302$	6.55500	+	32.6693i	0.377198	+	1.87991i
$303$	8.66267	−	4.27827i	0.497658	−	0.245780i
$304$	4.73190	−	0.974100i	0.271393	−	0.0558685i
$305$	−2.87001	+	2.87001i	−0.164336	+	0.164336i
$306$	−1.31683	+	0.451178i	−0.0752779	+	0.0257921i
$307$	24.2731	+	16.2188i	1.38534	+	0.925654i	0.999996	+	0.00288086i	$0.000917009\pi$
$307$	24.2731	+	16.2188i	1.38534	+	0.925654i	0.385343	+	0.922773i	$0.374083\pi$
$308$	−8.15772	−	12.1211i	−0.464829	−	0.690667i
$309$	8.29705	−	14.3904i	0.472003	−	0.818641i
$310$	11.9999	+	28.8341i	0.681547	+	1.63767i
$311$	19.1287	−	7.92335i	1.08469	−	0.449292i	0.232535	−	0.972588i	$-0.425298\pi$
$311$	19.1287	−	7.92335i	1.08469	−	0.449292i	0.852151	+	0.523296i	$0.175298\pi$
$312$	−13.2894	+	3.64063i	−0.752362	+	0.206110i
$313$	−13.6645	−	5.66001i	−0.772362	−	0.319923i	−0.0385331	−	0.999257i	$-0.512269\pi$
$313$	−13.6645	−	5.66001i	−0.772362	−	0.319923i	−0.733829	+	0.679335i	$0.762269\pi$
$314$	−13.5721	+	0.0226402i	−0.765916	+	0.00127766i
$315$	−2.24287	+	34.8456i	−0.126372	+	1.96333i
$316$	7.73725	−	3.23516i	0.435254	−	0.181992i
$317$	4.74337	+	23.8465i	0.266414	+	1.33935i	0.849777	+	0.527142i	$0.176737\pi$
$317$	4.74337	+	23.8465i	0.266414	+	1.33935i	−0.583363	+	0.812212i	$0.698263\pi$
$318$	10.8473	+	6.23013i	0.608287	+	0.349368i
$319$			11.6102i			0.650045i
$320$	16.8794	+	11.0357i	0.943589	+	0.616916i
$321$	−6.80551	+	20.0871i	−0.379846	+	1.12115i
$322$	−10.9775	+	55.6730i	−0.611754	+	3.10253i
$323$	0.388648	−	0.0773069i	0.0216250	−	0.00430147i
$324$	−11.0387	−	14.2179i	−0.613259	−	0.789882i
$325$	−2.11691	−	3.16818i	−0.117425	−	0.175739i
$326$	0.0359749	+	21.5658i	0.00199247	+	1.19442i
$327$	−3.76617	+	4.29958i	−0.208270	+	0.237767i
$328$	0.924070	−	4.77026i	0.0510232	−	0.263393i
$329$	−18.5284	−	44.7316i	−1.02150	−	2.46613i
$330$	0.660954	+	9.74746i	0.0363843	+	0.536580i
$331$	6.71047	+	1.33480i	0.368841	+	0.0733670i	0.376031	−	0.926607i	$-0.377289\pi$
$331$	6.71047	+	1.33480i	0.368841	+	0.0733670i	−0.00719003	+	0.999974i	$0.502289\pi$
$332$	−9.75420	−	14.4933i	−0.535331	−	0.795422i
$333$	3.11765	−	1.06238i	0.170846	−	0.0582180i
$334$	13.7787	+	9.17341i	0.753936	+	0.501947i
$335$	1.35283	+	1.35283i	0.0739131	+	0.0739131i
$336$	−8.50335	−	30.8378i	−0.463896	−	1.68234i
$337$	7.39933	−	7.39933i	0.403067	−	0.403067i	−0.476245	−	0.879312i	$-0.658003\pi$
$337$	7.39933	−	7.39933i	0.403067	−	0.403067i	0.879312	+	0.476245i	$0.158003\pi$
$338$	7.05645	−	1.41586i	0.383820	−	0.0770124i
$339$	16.4026	+	21.3504i	0.890868	+	1.15959i
$340$	1.37843	+	0.914399i	0.0747558	+	0.0495903i
$341$	2.70413	−	13.5946i	0.146437	−	0.736188i
$342$	2.57468	+	4.43037i	0.139223	+	0.239567i
$343$	31.2175	−	12.9307i	1.68559	−	0.698192i
$344$	−9.55389	−	9.45874i	−0.515111	−	0.509981i
$345$	25.0016	−	28.5426i	1.34604	−	1.53668i
$346$	−18.0077	−	17.9477i	−0.968097	−	0.964873i
$347$	−5.10467	+	3.41083i	−0.274033	+	0.183103i	−0.684992	−	0.728551i	$-0.740194\pi$
$347$	−5.10467	+	3.41083i	−0.274033	+	0.183103i	0.410958	+	0.911654i	$0.365194\pi$
$348$	−8.07633	+	24.1023i	−0.432937	+	1.29202i
$349$	0.483465	+	2.43054i	0.0258793	+	0.130104i	0.991565	−	0.129609i	$-0.0413721\pi$
$349$	0.483465	+	2.43054i	0.0258793	+	0.130104i	−0.965686	+	0.259713i	$0.916372\pi$
$350$	7.34689	−	4.92678i	0.392708	−	0.263348i
$351$	−8.14094	−	12.1375i	−0.434531	−	0.647852i
$352$	−3.49399	−	8.24016i	−0.186230	−	0.439202i
$353$	9.46292			0.503660			0.251830	−	0.967771i	$-0.418968\pi$
$353$	9.46292			0.503660			0.251830	+	0.967771i	$0.418968\pi$
$354$	−3.28528	−	12.1512i	−0.174611	−	0.645829i
$355$	−14.1537	+	2.81536i	−0.751203	+	0.149424i
$356$	−14.2745	−	14.1796i	−0.756548	−	0.751517i
$357$	−0.680576	−	2.53400i	−0.0360199	−	0.134114i
$358$	−9.63600	−	9.60390i	−0.509278	−	0.507582i
$359$	−7.80171	+	18.8350i	−0.411758	+	0.994072i	0.572907	+	0.819620i	$0.305815\pi$
$359$	−7.80171	+	18.8350i	−0.411758	+	0.994072i	−0.984666	+	0.174452i	$0.944185\pi$
$360$	−5.40846	+	20.6951i	−0.285051	+	1.09073i
$361$	6.71275	+	16.2060i	0.353303	+	0.852948i
$362$	−5.47837	−	2.25851i	−0.287937	−	0.118705i
$363$	−7.35082	+	12.7492i	−0.385818	+	0.669162i
$364$	−5.15200	−	25.4567i	−0.270038	−	1.33429i
$365$	−2.61185	+	3.90890i	−0.136710	+	0.204601i
$366$	3.91131	+	0.505966i	0.204447	+	0.0264473i
$367$	2.78418	+	2.78418i	0.145333	+	0.145333i	0.776030	−	0.630696i	$-0.217231\pi$
$367$	2.78418	+	2.78418i	0.145333	+	0.145333i	−0.630696	+	0.776030i	$0.717231\pi$
$368$	−13.0880	+	32.2033i	−0.682259	+	1.67871i
$369$	5.10880	−	0.678680i	0.265953	−	0.0353307i
$370$	−3.25803	−	2.16909i	−0.169377	−	0.112766i
$371$	−13.0999	+	19.6053i	−0.680111	+	1.01786i
$372$	15.0704	−	26.3408i	0.781364	−	1.36571i
$373$	3.47593	−	17.4747i	0.179977	−	0.904805i	−0.780225	−	0.625499i	$-0.784896\pi$
$373$	3.47593	−	17.4747i	0.179977	−	0.904805i	0.960202	−	0.279306i	$-0.0901044\pi$
$374$	−0.282071	−	0.677779i	−0.0145855	−	0.0350471i
$375$	15.8815	−	1.05028i	0.820117	−	0.0542362i
$376$	−5.93184	−	29.0606i	−0.305911	−	1.49868i
$377$	−7.89819	+	19.0679i	−0.406777	+	0.982047i
$378$	28.1463	−	18.9466i	1.44769	−	0.974506i
$379$	30.3981	−	20.3114i	1.56145	−	1.04333i	0.589606	−	0.807691i	$-0.299283\pi$
$379$	30.3981	−	20.3114i	1.56145	−	1.04333i	0.971842	−	0.235635i	$-0.0757170\pi$
$380$	2.31149	−	5.63351i	0.118577	−	0.288993i
$381$	9.05559	+	1.18679i	0.463932	+	0.0608012i
$382$	2.12140	−	10.7588i	0.108540	−	0.550466i
$383$	28.9823			1.48093			0.740463	−	0.672097i	$-0.234606\pi$
$383$	28.9823			1.48093			0.740463	+	0.672097i	$0.234606\pi$
$384$	−1.52133	−	19.5368i	−0.0776349	−	0.996982i
$385$	−18.4157			−0.938549
$386$	5.47495	−	27.7664i	0.278668	−	1.41327i
$387$	6.29188	−	12.7965i	0.319834	−	0.650481i
$388$	−1.45472	+	3.54542i	−0.0738523	+	0.179991i
$389$	−25.7474	+	17.2038i	−1.30544	+	0.872269i	−0.996880	−	0.0789344i	$-0.974848\pi$
$389$	−25.7474	+	17.2038i	−1.30544	+	0.872269i	−0.308564	+	0.951204i	$0.599848\pi$
$390$	−5.54550	+	16.4583i	−0.280807	+	0.833400i
$391$	−1.09112	+	2.63419i	−0.0551801	+	0.133217i
$392$	39.6799	−	8.09946i	2.00414	−	0.409085i
$393$	−1.30185	−	19.6856i	−0.0656697	−	0.993006i
$394$	−5.19653	−	12.4866i	−0.261797	−	0.629064i
$395$	2.06219	−	10.3673i	0.103760	−	0.521637i
$396$	7.10910	−	6.29145i	0.357246	−	0.316157i
$397$	−15.8967	+	23.7911i	−0.797834	+	1.19404i	0.179794	+	0.983704i	$0.442457\pi$
$397$	−15.8967	+	23.7911i	−0.797834	+	1.19404i	−0.977629	+	0.210339i	$0.932543\pi$
$398$	−24.8805	−	16.5647i	−1.24715	−	0.830312i
$399$	−8.66023	+	4.27707i	−0.433554	+	0.214121i
$400$	4.99247	−	2.10708i	0.249623	−	0.105354i
$401$	21.7517	+	21.7517i	1.08623	+	1.08623i	0.995913	+	0.0903152i	$0.0287874\pi$
$401$	21.7517	+	21.7517i	1.08623	+	1.08623i	0.0903152	+	0.995913i	$0.471213\pi$
$402$	0.238496	−	1.84367i	0.0118951	−	0.0919537i
$403$	13.6893	−	20.4874i	0.681911	−	1.02055i
$404$	2.21296	+	10.9345i	0.110099	+	0.544012i
$405$	−22.6356	+	1.53693i	−1.12477	+	0.0763706i
$406$	−44.2976	−	18.2622i	−2.19845	−	0.906336i
$407$	0.664760	+	1.60487i	0.0329509	+	0.0795506i
$408$	−0.114088	−	1.60326i	−0.00564821	−	0.0793731i
$409$	8.93133	−	21.5621i	0.441626	−	1.06618i	−0.533753	−	0.845641i	$-0.679219\pi$
$409$	8.93133	−	21.5621i	0.441626	−	1.06618i	0.975378	−	0.220538i	$-0.0707813\pi$
$410$	−4.33778	−	4.32333i	−0.214228	−	0.213514i
$411$	−6.69802	+	1.79894i	−0.330389	+	0.0887350i
$412$	13.6080	+	13.5175i	0.670417	+	0.665958i
$413$	23.2709	−	4.62887i	1.14509	−	0.227772i
$414$	−36.7977	−	2.30689i	−1.80851	−	0.113378i
$415$	−22.0196			−1.08090
$416$	−0.132705	−	15.9101i	−0.00650640	−	0.780056i
$417$	−4.19123	+	12.3708i	−0.205245	+	0.605799i
$418$	−2.24454	+	1.50518i	−0.109784	+	0.0736206i
$419$	1.78680	+	8.98285i	0.0872909	+	0.438841i	0.999571	+	0.0292750i	$0.00931987\pi$
$419$	1.78680	+	8.98285i	0.0872909	+	0.438841i	−0.912280	+	0.409566i	$0.865680\pi$
$420$	−38.2303	−	12.8104i	−1.86545	−	0.625084i
$421$	23.0618	−	15.4094i	1.12396	−	0.751009i	0.152525	−	0.988300i	$-0.451259\pi$
$421$	23.0618	−	15.4094i	1.12396	−	0.751009i	0.971439	+	0.237291i	$0.0762594\pi$
$422$	23.4549	+	23.3768i	1.14177	+	1.13796i
$423$	27.2258	−	15.7614i	1.32376	−	0.766346i
$424$	−10.1624	+	10.2647i	−0.493531	+	0.498496i
$425$	0.410640	−	0.170093i	0.0199190	−	0.00825071i
$426$	10.5635	+	9.22187i	0.511802	+	0.446801i
$427$	−1.45031	+	7.29121i	−0.0701855	+	0.352847i
$428$	−20.4076	−	13.5377i	−0.986439	−	0.654368i
$429$	6.11234	−	4.69586i	0.295107	−	0.226718i
$430$	−16.6142	+	3.33360i	−0.801209	+	0.160760i
$431$	−17.5829	+	17.5829i	−0.846938	+	0.846938i	−0.989750	−	0.142812i	$-0.954386\pi$
$431$	−17.5829	+	17.5829i	−0.846938	+	0.846938i	0.142812	+	0.989750i	$0.454386\pi$
$432$	19.1347	−	8.11554i	0.920620	−	0.390459i
$433$	−1.24265	−	1.24265i	−0.0597181	−	0.0597181i	0.676617	−	0.736335i	$-0.263445\pi$
$433$	−1.24265	−	1.24265i	−0.0597181	−	0.0597181i	−0.736335	+	0.676617i	$0.763445\pi$
$434$	47.6155	+	31.7009i	2.28562	+	1.52169i
$435$	19.5192	+	25.4071i	0.935876	+	1.21818i
$436$	−3.68508	−	5.47547i	−0.176483	−	0.262228i
$437$	10.2943	+	2.04767i	0.492445	+	0.0979533i
$438$	4.55764	−	0.309044i	0.217772	−	0.0147667i
$439$	−8.01437	−	19.3484i	−0.382505	−	0.923449i	−0.991480	−	0.130259i	$-0.958419\pi$
$439$	−8.01437	−	19.3484i	−0.382505	−	0.923449i	0.608975	−	0.793189i	$-0.291581\pi$
$440$	−11.0753	−	2.14546i	−0.527997	−	0.102281i
$441$	21.5210	+	37.1747i	1.02481	+	1.77022i
$442$	−0.00217699	−	1.30503i	−0.000103549	−	0.0620742i
$443$	11.3329	+	16.9609i	0.538443	+	0.805836i	0.996544	−	0.0830635i	$-0.0264704\pi$
$443$	11.3329	+	16.9609i	0.538443	+	0.805836i	−0.458102	+	0.888900i	$0.651470\pi$
$444$	0.263627	+	3.79408i	0.0125112	+	0.180059i
$445$	−24.8728	+	4.94751i	−1.17908	+	0.234535i
$446$	1.10908	−	5.62473i	0.0525164	−	0.266339i
$447$	−13.9529	−	4.72725i	−0.659949	−	0.223591i
$448$	36.9355	−	0.369696i	1.74504	−	0.0174665i
$449$		−	2.33029i		−	0.109973i	−0.998487	−	0.0549865i	$-0.982488\pi$
$449$		−	2.33029i		−	0.109973i	0.998487	−	0.0549865i	$-0.0175116\pi$
$450$	3.80193	+	4.31050i	0.179225	+	0.203199i
$451$	0.530268	+	2.66584i	0.0249693	+	0.125529i
$452$	−28.6824	+	11.9929i	−1.34911	+	0.564099i
$453$	−10.5853	−	39.4123i	−0.497339	−	1.85175i
$454$	0.291940		0.000487000i	0.0137014		2.28560e-5i
$455$	−30.2449	−	12.5278i	−1.41790	−	0.587314i
$456$	−5.70663	+	1.56333i	−0.267237	+	0.0732097i
$457$	−22.1555	+	9.17710i	−1.03639	+	0.429287i	−0.835015	−	0.550227i	$-0.814541\pi$
$457$	−22.1555	+	9.17710i	−1.03639	+	0.429287i	−0.201375	+	0.979514i	$0.564541\pi$
$458$	11.7774	+	28.2996i	0.550323	+	1.32235i
$459$	1.57389	−	0.655173i	0.0734630	−	0.0305808i
$460$	24.4633	+	36.3488i	1.14061	+	1.69477i
$461$	9.11817	+	6.09256i	0.424675	+	0.283759i	0.749486	−	0.662020i	$-0.230301\pi$
$461$	9.11817	+	6.09256i	0.424675	+	0.283759i	−0.324811	+	0.945779i	$0.605301\pi$
$462$	10.9253	+	14.1719i	0.508293	+	0.659337i
$463$	−11.3156	+	11.3156i	−0.525881	+	0.525881i	−0.919342	−	0.393460i	$-0.871278\pi$
$463$	−11.3156	+	11.3156i	−0.525881	+	0.525881i	0.393460	+	0.919342i	$0.371278\pi$
$464$	−24.5134	−	16.1438i	−1.13801	−	0.749457i
$465$	−16.9379	−	34.2959i	−0.785476	−	1.59044i
$466$	5.56934	+	27.7569i	0.257995	+	1.28581i
$467$	−13.4412	−	8.98111i	−0.621984	−	0.415596i	0.204254	−	0.978918i	$-0.434523\pi$
$467$	−13.4412	−	8.98111i	−0.621984	−	0.415596i	−0.826238	+	0.563322i	$0.809523\pi$
$468$	15.9556	−	5.49654i	0.737546	−	0.254078i
$469$	3.43685	+	0.683631i	0.158699	+	0.0315672i
$470$	−34.5622	−	14.2486i	−1.59423	−	0.657240i
$471$	16.5861	−	1.09688i	0.764248	−	0.0505414i
$472$	14.5346	−	0.0727382i	0.669009	−	0.00334805i
$473$	6.94810	+	2.87800i	0.319474	+	0.132331i
$474$	−9.20167	+	4.56358i	−0.422646	+	0.209612i
$475$	−0.909030	−	1.36046i	−0.0417092	−	0.0624222i
$476$	3.02969	−	0.0101080i	0.138866	−	0.000463298i
$477$	−13.7485	−	6.75997i	−0.629500	−	0.309518i
$478$	−1.44919	−	2.16105i	−0.0662843	−	0.0988441i
$479$		−	20.8452i		−	0.952443i	−0.879325	−	0.476221i	$-0.842006\pi$
$479$		−	20.8452i		−	0.952443i	0.879325	−	0.476221i	$-0.157994\pi$
$480$	−21.4996	−	12.1582i	−0.981317	−	0.554943i
$481$			3.08798i			0.140800i
$482$	0.559709	−	0.375337i	0.0254940	−	0.0170961i
$483$	9.03092	−	68.9088i	0.410921	−	3.13546i
$484$	−12.0561	−	11.9759i	−0.548003	−	0.544358i
$485$	2.68356	+	4.01624i	0.121854	+	0.182368i
$486$	14.6116	+	16.5076i	0.662797	+	0.748799i
$487$	−5.63242	−	2.33302i	−0.255229	−	0.105719i	0.251401	−	0.967883i	$-0.419109\pi$
$487$	−5.63242	−	2.33302i	−0.255229	−	0.105719i	−0.506630	+	0.862164i	$0.669109\pi$
$488$	−1.72167	+	4.21604i	−0.0779364	+	0.190851i
$489$	−1.74292	−	26.3550i	−0.0788174	−	1.19182i
$490$	19.4554	−	47.1919i	0.878904	−	2.13191i
$491$	−31.8516	−	6.33568i	−1.43744	−	0.285925i	−0.585974	−	0.810330i	$-0.699288\pi$
$491$	−31.8516	−	6.33568i	−1.43744	−	0.285925i	−0.851469	+	0.524405i	$0.824288\pi$
$492$	−0.753607	+	5.90305i	−0.0339752	+	0.266130i
$493$	−2.00178	−	1.33755i	−0.0901557	−	0.0602401i
$494$	−4.71026	+	0.945100i	−0.211925	+	0.0425220i
$495$	−1.57573	−	11.8614i	−0.0708237	−	0.533128i
$496$	24.9432	+	24.6125i	1.11998	+	1.10513i
$497$	−18.6900	+	18.6900i	−0.838362	+	0.838362i
$498$	13.0634	+	16.9454i	0.585387	+	0.759340i
$499$	−7.47469	−	4.99443i	−0.334613	−	0.223581i	0.376900	−	0.926254i	$-0.376990\pi$
$499$	−7.47469	−	4.99443i	−0.334613	−	0.223581i	−0.711513	+	0.702672i	$0.751990\pi$
$500$	−3.52530	+	18.0372i	−0.157656	+	0.806646i
$501$	−17.5631	−	10.1263i	−0.784661	−	0.452411i
$502$	−10.4199	+	4.33646i	−0.465064	+	0.193546i
$503$	34.1830	−	14.1591i	1.52415	−	0.631322i	0.545729	−	0.837962i	$-0.316253\pi$
$503$	34.1830	−	14.1591i	1.52415	−	0.631322i	0.978417	+	0.206640i	$0.0662528\pi$
$504$	12.8223	+	37.0203i	0.571149	+	1.64902i
$505$	12.9912	+	5.38114i	0.578102	+	0.239458i
$506$	−0.0324376	−	19.4453i	−0.00144203	−	0.864448i
$507$	−8.51291	+	2.28638i	−0.378072	+	0.101542i
$508$	−4.00322	+	9.75656i	−0.177614	+	0.432878i
$509$	−5.48533	−	27.5766i	−0.243133	−	1.22231i	−0.888657	−	0.458572i	$-0.848361\pi$
$509$	−5.48533	−	27.5766i	−0.243133	−	1.22231i	0.645524	−	0.763740i	$-0.276639\pi$
$510$	−1.75676	−	1.00899i	−0.0777908	−	0.0446790i
$511$			8.61065i			0.380913i
$512$	22.2564	+	4.08072i	0.983604	+	0.180344i
$513$	−3.49582	−	5.21200i	−0.154344	−	0.230116i
$514$	−11.2389	−	2.21607i	−0.495726	−	0.0977467i
$515$	23.7114	−	4.71649i	1.04485	−	0.207833i
$516$	12.4220	+	10.8079i	0.546848	+	0.475791i
$517$	9.21776	+	13.7954i	0.405397	+	0.606719i
$518$	−7.16889	+	0.0119588i	−0.314983	+	0.000525439i
$519$	23.4230	+	20.5172i	1.02816	+	0.900603i
$520$	−16.7300	−	11.0579i	−0.733661	−	0.484923i
$521$	0.299974	+	0.724202i	0.0131421	+	0.0317279i	0.930314	−	0.366763i	$-0.119534\pi$
$521$	0.299974	+	0.724202i	0.0131421	+	0.0317279i	−0.917172	+	0.398491i	$0.869534\pi$
$522$	7.97218	−	30.0943i	0.348933	−	1.31719i
$523$	−27.6701	−	5.50393i	−1.20993	−	0.240670i	−0.451408	−	0.892318i	$-0.649078\pi$
$523$	−27.6701	−	5.50393i	−1.20993	−	0.240670i	−0.758522	+	0.651647i	$0.774078\pi$
$524$	22.3576	+	4.36971i	0.976695	+	0.190891i
$525$	−8.59130	+	6.60034i	−0.374955	+	0.288063i
$526$	−1.48376	+	2.22864i	−0.0646949	+	0.0971733i
$527$	2.03240	+	2.03240i	0.0885325	+	0.0885325i
$528$	4.91954	+	9.79594i	0.214095	+	0.426313i
$529$	−37.1386	+	37.1386i	−1.61472	+	1.61472i
$530$	3.58160	+	17.8503i	0.155575	+	0.775366i
$531$	4.97257	+	14.5925i	0.215791	+	0.633260i
$532$	−2.21233	−	10.9314i	−0.0959168	−	0.473937i
$533$	−0.942637	+	4.73896i	−0.0408301	+	0.205267i
$534$	18.5635	+	16.2059i	0.803322	+	0.701297i
$535$	−28.5177	+	11.8124i	−1.23293	+	0.510696i
$536$	1.98731	+	0.811541i	0.0858385	+	0.0350532i
$537$	12.5338	+	10.9788i	0.540873	+	0.473772i
$538$	6.76877	−	6.79139i	0.291823	−	0.292798i
$539$	−18.8365	+	12.5861i	−0.811344	+	0.542123i
$540$	4.97991	−	25.7199i	0.214301	−	1.10681i
$541$	0.430476	+	2.16415i	0.0185076	+	0.0930441i	0.988935	−	0.148349i	$-0.0473958\pi$
$541$	0.430476	+	2.16415i	0.0185076	+	0.0930441i	−0.970427	+	0.241393i	$0.922396\pi$
$542$	1.85713	+	2.76937i	0.0797704	+	0.118955i
$543$	6.87363	+	2.32879i	0.294976	+	0.0999380i
$544$	1.82326	+	0.346886i	0.0781716	+	0.0148726i
$545$	−8.31889			−0.356342
$546$	8.30229	+	30.7075i	0.355305	+	1.31416i
$547$	31.7659	−	6.31863i	1.35821	−	0.270165i	0.538348	−	0.842723i	$-0.319049\pi$
$547$	31.7659	−	6.31863i	1.35821	−	0.270165i	0.819865	+	0.572558i	$0.194049\pi$
$548$	−0.0267180	−	8.00825i	−0.00114134	−	0.342096i
$549$	−4.82030	−	0.310264i	−0.205725	−	0.0132417i
$550$	−2.13988	+	2.14703i	−0.0912447	+	0.0915497i
$551$	−3.39158	+	8.18801i	−0.144486	+	0.348821i
$552$	13.4593	−	40.3902i	0.572865	−	1.71912i
$553$	−7.40900	−	17.8869i	−0.315063	−	0.760629i
$554$	8.85217	−	21.4723i	0.376093	−	0.912270i
$555$	4.15287	+	2.39442i	0.176280	+	0.101637i
$556$	−12.5682	−	8.33728i	−0.533010	−	0.353580i
$557$	7.50735	−	11.2356i	0.318097	−	0.476066i	−0.637621	−	0.770350i	$-0.720081\pi$
$557$	7.50735	−	11.2356i	0.318097	−	0.476066i	0.955718	+	0.294285i	$0.0950814\pi$
$558$	−16.3441	+	33.3812i	−0.691899	+	1.41314i
$559$	9.45334	+	9.45334i	0.399834	+	0.399834i
$560$	25.6068	−	38.8824i	1.08208	−	1.64308i
$561$	0.398144	+	0.806165i	0.0168097	+	0.0340363i
$562$	−0.932538	+	1.40069i	−0.0393367	+	0.0590847i
$563$	4.89641	−	7.32800i	0.206359	−	0.308838i	−0.713825	−	0.700324i	$-0.753039\pi$
$563$	4.89641	−	7.32800i	0.206359	−	0.308838i	0.920184	+	0.391486i	$0.128039\pi$
$564$	9.53934	+	35.0508i	0.401678	+	1.47590i
$565$	−7.64465	+	38.4323i	−0.321613	+	1.61686i
$566$	19.5230	−	8.12489i	0.820615	−	0.341515i
$567$	−32.9080	+	25.3740i	−1.38201	+	1.06561i
$568$	−13.4178	+	9.06292i	−0.562997	+	0.380272i
$569$	3.70757	−	8.95086i	0.155429	−	0.375239i	−0.826914	−	0.562329i	$-0.809905\pi$
$569$	3.70757	−	8.95086i	0.155429	−	0.375239i	0.982343	+	0.187090i	$0.0599055\pi$
$570$	−2.38131	+	7.06742i	−0.0997421	+	0.296022i
$571$	−2.53893	+	1.69646i	−0.106251	+	0.0709945i	−0.607560	−	0.794273i	$-0.707852\pi$
$571$	−2.53893	+	1.69646i	−0.106251	+	0.0709945i	0.501310	+	0.865268i	$0.332852\pi$
$572$	3.43342	+	8.21142i	0.143559	+	0.343337i
$573$	−1.74522	+	13.3166i	−0.0729075	+	0.556307i
$574$	−11.0054	−	2.17002i	−0.459355	−	0.0905750i
$575$	11.7730			0.490969
$576$	3.39848	+	23.7582i	0.141603	+	0.989923i
$577$	5.45813			0.227225			0.113613	−	0.993525i	$-0.463758\pi$
$577$	5.45813			0.227225			0.113613	+	0.993525i	$0.463758\pi$
$578$	−23.4381	−	4.62150i	−0.974897	−	0.192229i
$579$	−4.50410	+	34.3677i	−0.187184	+	1.42827i
$580$	−34.1323	+	14.2717i	−1.41727	+	0.592599i
$581$	−33.5339	+	22.4066i	−1.39122	+	0.929584i
$582$	1.49866	−	4.44784i	0.0621217	−	0.184369i
$583$	3.09211	−	7.46501i	0.128062	−	0.309169i
$584$	−1.00316	+	5.17852i	−0.0415110	+	0.214289i
$585$	5.48118	−	20.5524i	0.226619	−	0.849737i
$586$	−19.7088	+	8.20219i	−0.814162	+	0.338829i
$587$	−4.47974	+	22.5212i	−0.184899	+	0.929548i	0.771220	+	0.636568i	$0.219647\pi$
$587$	−4.47974	+	22.5212i	−0.184899	+	0.929548i	−0.956119	+	0.292979i	$0.905353\pi$
$588$	−47.8590	+	13.0252i	−1.97367	+	0.537151i
$589$	5.87835	−	8.79757i	0.242213	−	0.362497i
$590$	10.1527	−	15.2495i	0.417978	−	0.627813i
$591$	7.33493	+	14.8518i	0.301719	+	0.610922i
$592$	−4.31283	−	0.827998i	−0.177256	−	0.0340305i
$593$	15.0218	+	15.0218i	0.616871	+	0.616871i	0.944728	−	0.327856i	$-0.106326\pi$
$593$	15.0218	+	15.0218i	0.616871	+	0.616871i	−0.327856	+	0.944728i	$0.606326\pi$
$594$	−8.19317	+	8.24951i	−0.336170	+	0.338482i
$595$	2.12157	−	3.17516i	0.0869760	−	0.130169i
$596$	9.40355	−	14.1756i	0.385185	−	0.580654i
$597$	31.7141	+	18.2854i	1.29797	+	0.748371i
$598$	13.1750	−	31.9579i	0.538766	−	1.30686i
$599$	−16.2439	−	39.2161i	−0.663706	−	1.60233i	−0.791951	−	0.610585i	$-0.790934\pi$
$599$	−16.2439	−	39.2161i	−0.663706	−	1.60233i	0.128245	−	0.991743i	$-0.459066\pi$
$600$	−5.93584	+	2.96860i	−0.242330	+	0.121193i
$601$	11.0691	−	26.7233i	0.451520	−	1.09007i	−0.520224	−	0.854030i	$-0.674152\pi$
$601$	11.0691	−	26.7233i	0.451520	−	1.09007i	0.971744	−	0.236036i	$-0.0758483\pi$
$602$	−21.9098	+	21.9830i	−0.892975	+	0.895959i
$603$	−0.146248	+	2.27213i	−0.00595569	+	0.0925285i
$604$	47.1220	−	0.157213i	1.91737	−	0.00639692i
$605$	−21.0072	+	4.17860i	−0.854065	+	0.169884i
$606$	−3.56612	−	13.1899i	−0.144864	−	0.535804i
$607$	20.1924			0.819586			0.409793	−	0.912179i	$-0.365601\pi$
$607$	20.1924			0.819586			0.409793	+	0.912179i	$0.365601\pi$
$608$	−0.0569852	−	6.83200i	−0.00231106	−	0.277074i
$609$	55.5796	+	18.8304i	2.25220	+	0.763047i
$610$	3.19694	+	4.76733i	0.129440	+	0.193023i
$611$	5.75402	+	28.9274i	0.232783	+	1.17028i
$612$	0.265744	+	1.95053i	0.0107421	+	0.0788455i
$613$	−17.8642	+	11.9365i	−0.721528	+	0.482109i	−0.861314	−	0.508072i	$-0.830358\pi$
$613$	−17.8642	+	11.9365i	−0.721528	+	0.482109i	0.139787	+	0.990182i	$0.455358\pi$
$614$	29.1443	−	29.2417i	1.17617	−	1.18010i
$615$	5.64227	+	4.94229i	0.227518	+	0.199292i
$616$	−19.0499	+	8.00265i	−0.767542	+	0.322436i
$617$	−5.64179	+	2.33691i	−0.227130	+	0.0940803i	−0.493346	−	0.869833i	$-0.664226\pi$
$617$	−5.64179	+	2.33691i	−0.227130	+	0.0940803i	0.266216	+	0.963913i	$0.414226\pi$
$618$	−17.6967	−	15.4491i	−0.711865	−	0.621456i
$619$	1.78558	−	8.97672i	0.0717685	−	0.360805i	−0.928167	−	0.372164i	$-0.878616\pi$
$619$	1.78558	−	8.97672i	0.0717685	−	0.360805i	0.999935	+	0.0113593i	$0.00361587\pi$
$620$	43.2902	−	8.76121i	1.73858	−	0.351859i
$621$	45.1562	−	0.0794139i	1.81206	−	0.00318677i
$622$	−5.76031	−	28.7087i	−0.230968	−	1.15111i
$623$	−32.8445	+	32.8445i	−1.31589	+	1.31589i
$624$	1.41559	+	19.4350i	0.0566688	+	0.778022i
$625$	21.1696	+	21.1696i	0.846784	+	0.846784i
$626$	−11.5917	+	17.4109i	−0.463296	+	0.695881i
$627$	2.62472	−	2.01646i	0.104821	−	0.0805298i
$628$	−3.68170	+	18.8374i	−0.146916	+	0.751695i
$629$	−0.353289	−	0.0702736i	−0.0140866	−	0.00280199i
$630$	47.7345	+	12.6452i	1.90179	+	0.503797i
$631$	−12.3738	−	29.8731i	−0.492595	−	1.18923i	−0.953395	−	0.301725i	$-0.902438\pi$
$631$	−12.3738	−	29.8731i	−0.492595	−	1.18923i	0.460800	−	0.887504i	$-0.347562\pi$
$632$	−2.37198	−	11.6205i	−0.0943522	−	0.462239i
$633$	−30.5084	−	26.7235i	−1.21260	−	1.06216i
$634$	34.3847	−	0.0573588i	1.36559	−	0.00227801i
$635$	7.38485	+	11.0522i	0.293059	+	0.438593i
$636$	11.6120	−	13.3461i	0.460444	−	0.529209i
$637$	−39.4981	+	7.85666i	−1.56497	+	0.311292i
$638$	16.1091	+	3.17637i	0.637765	+	0.125754i
$639$	−13.6373	−	10.4389i	−0.539482	−	0.412955i
$640$	19.9300	−	20.4010i	0.787803	−	0.806419i
$641$		−	32.7159i		−	1.29220i	−0.763252	−	0.646101i	$-0.776398\pi$
$641$		−	32.7159i		−	1.29220i	0.763252	−	0.646101i	$-0.223602\pi$
$642$	26.0089	+	14.9381i	1.02649	+	0.589562i
$643$	5.93394	+	29.8319i	0.234012	+	1.17646i	0.901816	+	0.432119i	$0.142234\pi$
$643$	5.93394	+	29.8319i	0.234012	+	1.17646i	−0.667805	+	0.744337i	$0.732766\pi$
$644$	74.2429	+	30.4626i	2.92558	+	1.20039i
$645$	20.0434	−	5.38322i	0.789209	−	0.211964i
$646$	−0.000934829	−	0.560399i	−3.67803e−5	−	0.0220486i
$647$	−15.4476	−	6.39861i	−0.607308	−	0.251555i	0.0577690	−	0.998330i	$-0.481601\pi$
$647$	−15.4476	−	6.39861i	−0.607308	−	0.251555i	−0.665077	+	0.746775i	$0.731601\pi$
$648$	−22.7473	+	11.4263i	−0.893598	+	0.448868i
$649$	−7.51177	+	3.11148i	−0.294863	+	0.122136i
$650$	−4.97501	+	2.07044i	−0.195136	+	0.0812095i
$651$	−60.6935	−	34.9940i	−2.37877	−	1.37152i
$652$	29.9323	+	5.85016i	1.17224	+	0.229110i
$653$	−20.0439	−	13.3929i	−0.784379	−	0.524105i	0.0976948	−	0.995216i	$-0.468853\pi$
$653$	−20.0439	−	13.3929i	−0.784379	−	0.524105i	−0.882074	+	0.471111i	$0.843853\pi$
$654$	4.93529	+	6.40186i	0.192985	+	0.250333i
$655$	20.3034	−	20.3034i	0.793319	−	0.793319i
$656$	−6.36591	−	2.58722i	−0.248547	−	0.101014i
$657$	−5.54604	+	0.736766i	−0.216371	+	0.0287440i
$658$	−67.1341	+	13.4703i	−2.61716	+	0.525125i
$659$	−14.0709	−	9.40190i	−0.548126	−	0.366246i	0.250460	−	0.968127i	$-0.419418\pi$
$659$	−14.0709	−	9.40190i	−0.548126	−	0.366246i	−0.798586	+	0.601881i	$0.794418\pi$
$660$	13.7054	+	1.74969i	0.533482	+	0.0681065i
$661$	38.4667	+	7.65150i	1.49618	+	0.297609i	0.874255	−	0.485467i	$-0.161350\pi$
$661$	38.4667	+	7.65150i	1.49618	+	0.297609i	0.621926	+	0.783076i	$0.286350\pi$
$662$	3.68791	−	8.94558i	0.143335	−	0.347680i
$663$	0.105471	+	1.59485i	0.00409616	+	0.0619389i
$664$	−22.7780	+	9.56878i	−0.883958	+	0.371341i
$665$	−12.9876	−	5.37962i	−0.503636	−	0.208613i
$666$	−0.621105	−	4.61639i	−0.0240673	−	0.178881i
$667$	−35.4283	−	53.0222i	−1.37179	−	2.05303i
$668$	16.4977	−	16.6082i	0.638316	−	0.642590i
$669$	−0.912409	+	6.96197i	−0.0352758	+	0.269165i
$670$	2.24717	−	1.50694i	0.0868156	−	0.0582181i
$671$		−	2.54750i		−	0.0983450i
$672$	−45.1138	+	3.36162i	−1.74030	+	0.129677i
$673$			29.2376i			1.12703i	0.826106	+	0.563514i	$0.190551\pi$
$673$			29.2376i			1.12703i	−0.826106	+	0.563514i	$0.809449\pi$
$674$	−8.24221	−	12.2909i	−0.317478	−	0.473428i
$675$	−4.98633	−	4.96882i	−0.191924	−	0.191250i
$676$	−0.0339575	−	10.1782i	−0.00130606	−	0.391468i
$677$	−22.2750	−	33.3368i	−0.856096	−	1.28124i	−0.958094	−	0.286454i	$-0.907524\pi$
$677$	−22.2750	−	33.3368i	−0.856096	−	1.28124i	0.101998	−	0.994785i	$-0.467476\pi$
$678$	34.1111	−	16.9174i	1.31003	−	0.649711i
$679$	8.17364	+	3.38563i	0.313676	+	0.129929i
$680$	1.64585	−	1.66240i	0.0631153	−	0.0637502i
$681$	−0.356773	+	0.0235942i	−0.0136716	+	0.000904132i
$682$	−18.1226	−	7.47125i	−0.693952	−	0.286089i
$683$	12.4205	+	2.47058i	0.475256	+	0.0945343i	0.426906	−	0.904296i	$-0.359604\pi$
$683$	12.4205	+	2.47058i	0.475256	+	0.0945343i	0.0483502	+	0.998830i	$0.484604\pi$
$684$	6.85153	−	2.36028i	0.261975	−	0.0902477i
$685$	−8.39276	−	5.60786i	−0.320671	−	0.214265i
$686$	−9.40068	−	46.8518i	−0.358920	−	1.78881i
$687$	−16.6239	−	33.6602i	−0.634242	−	1.28422i
$688$	−15.7378	+	10.6682i	−0.599997	+	0.406722i
$689$	10.1566	−	10.1566i	0.386937	−	0.386937i
$690$	−32.7628	−	42.4985i	−1.24726	−	1.61789i
$691$	−10.9883	−	7.34213i	−0.418013	−	0.279308i	0.328725	−	0.944426i	$-0.393381\pi$
$691$	−10.9883	−	7.34213i	−0.418013	−	0.279308i	−0.746738	+	0.665118i	$0.768381\pi$
$692$	−29.8290	+	20.0754i	−1.13393	+	0.763151i
$693$	−14.4695	−	16.4603i	−0.549651	−	0.625276i
$694$	3.33596	+	8.01588i	0.126631	+	0.304279i
$695$	−17.5629	+	7.27478i	−0.666198	+	0.275948i
$696$	31.2323	+	17.7999i	1.18386	+	0.674704i
$697$	−0.520722	−	0.215690i	−0.0197238	−	0.00816985i
$698$	3.50464	−	0.00584626i	0.132653	−	0.000221284i
$699$	−8.99358	−	33.4860i	−0.340169	−	1.26656i
$700$	−4.82590	−	11.5417i	−0.182402	−	0.436235i
$701$	2.54974	+	12.8184i	0.0963024	+	0.484145i	0.998594	+	0.0530178i	$0.0168840\pi$
$701$	2.54974	+	12.8184i	0.0963024	+	0.484145i	−0.902291	+	0.431127i	$0.858116\pi$
$702$	−19.0680	+	7.97489i	−0.719676	+	0.300993i
$703$			1.32602i			0.0500117i
$704$	−12.3891	+	2.59352i	−0.466932	+	0.0977468i
$705$	43.3647	+	14.6920i	1.63321	+	0.553332i
$706$	2.58891	−	13.1298i	0.0974351	−	0.494146i
$707$	25.2601	−	5.02455i	0.950005	−	0.188968i
$708$	−17.7586	+	1.23394i	−0.667409	+	0.0463741i
$709$	15.0348	+	22.5012i	0.564644	+	0.845049i	0.998433	−	0.0559652i	$-0.0178236\pi$
$709$	15.0348	+	22.5012i	0.564644	+	0.845049i	−0.433789	+	0.901015i	$0.642824\pi$
$710$	0.0340445	+	20.4085i	0.00127767	+	0.765919i
$711$	10.8868	−	6.30255i	0.408288	−	0.236364i
$712$	−23.5795	+	15.9266i	−0.883678	+	0.596873i
$713$	29.1343	+	70.3364i	1.09109	+	2.63412i
$714$	−3.70212	+	0.251033i	−0.138548	+	0.00939466i
$715$	11.0027	+	2.18857i	0.411477	+	0.0818478i
$716$	−15.9617	+	10.7424i	−0.596515	+	0.401464i
$717$	1.94146	+	2.52709i	0.0725050	+	0.0943758i
$718$	23.9991	+	15.9778i	0.895637	+	0.596287i
$719$	3.87428	+	3.87428i	0.144486	+	0.144486i	0.775650	−	0.631163i	$-0.217422\pi$
$719$	3.87428	+	3.87428i	0.144486	+	0.144486i	−0.631163	+	0.775650i	$0.717422\pi$
$720$	27.2348	+	13.1661i	1.01498	+	0.490672i
$721$	31.3109	−	31.3109i	1.16608	−	1.16608i
$722$	24.3223	−	4.88020i	0.905183	−	0.181622i
$723$	−0.654512	+	0.502834i	−0.0243415	+	0.0187006i
$724$	−4.63248	+	6.98333i	−0.172165	+	0.259533i
$725$	−1.93938	+	9.74991i	−0.0720267	+	0.362103i
$726$	15.6785	+	13.6872i	0.581883	+	0.507981i
$727$	25.7185	−	10.6529i	0.953846	−	0.395096i	0.149171	−	0.988811i	$-0.452340\pi$
$727$	25.7185	−	10.6529i	0.953846	−	0.395096i	0.804675	+	0.593716i	$0.202340\pi$
$728$	−36.7306	+	0.183818i	−1.36133	+	0.00681274i
$729$	−19.1589	−	19.0246i	−0.709590	−	0.704615i
$730$	4.70903	+	4.69335i	0.174289	+	0.173709i
$731$	−1.29667	+	0.866406i	−0.0479590	+	0.0320452i
$732$	1.77210	−	5.28851i	0.0654988	−	0.195469i
$733$	−1.77864	−	8.94182i	−0.0656955	−	0.330274i	0.933935	−	0.357442i	$-0.116351\pi$
$733$	−1.77864	−	8.94182i	−0.0656955	−	0.330274i	−0.999631	+	0.0271683i	$0.991351\pi$
$734$	4.62476	−	3.10134i	0.170703	−	0.114473i
$735$	−20.0608	+	59.2111i	−0.739952	+	2.18403i
$736$	41.1014	+	26.9699i	1.51502	+	0.994125i
$737$	−1.20081			−0.0442324
$738$	0.456023	−	7.27412i	0.0167865	−	0.267764i
$739$	−21.1535	+	4.20769i	−0.778143	+	0.154782i	−0.568155	−	0.822922i	$-0.692343\pi$
$739$	−21.1535	+	4.20769i	−0.778143	+	0.154782i	−0.209988	+	0.977704i	$0.567343\pi$
$740$	−3.90096	+	3.92708i	−0.143402	+	0.144362i
$741$	5.68246	−	1.52618i	0.208750	−	0.0560657i
$742$	23.6184	+	23.5398i	0.867059	+	0.864171i
$743$	−1.65957	+	4.00656i	−0.0608838	+	0.146986i	−0.951394	−	0.307977i	$-0.900348\pi$
$743$	−1.65957	+	4.00656i	−0.0608838	+	0.146986i	0.890510	+	0.454964i	$0.150348\pi$
$744$	−32.4247	−	28.1166i	−1.18875	−	1.03080i
$745$	−8.20517	−	19.8090i	−0.300614	−	0.725747i
$746$	−23.2951	−	9.60366i	−0.852895	−	0.351615i
$747$	−17.3012	−	19.6816i	−0.633018	−	0.720114i
$748$	−1.01759	+	0.205942i	−0.0372067	+	0.00752999i
$749$	−31.4099	+	47.0082i	−1.14769	+	1.71764i
$750$	2.88768	−	22.3229i	0.105443	−	0.815117i
$751$	12.7750	+	12.7750i	0.466165	+	0.466165i	0.900670	−	0.434505i	$-0.143077\pi$
$751$	12.7750	+	12.7750i	0.466165	+	0.466165i	−0.434505	+	0.900670i	$0.643077\pi$
$752$	−41.9443	+	0.279882i	−1.52955	+	0.0102062i
$753$	12.3937	−	6.12093i	0.451652	−	0.223059i
$754$	24.2959	+	16.1754i	0.884803	+	0.589074i
$755$	32.9977	−	49.3845i	1.20091	−	1.79729i
$756$	−18.5879	−	44.2364i	−0.676036	−	1.60886i
$757$	−2.94873	+	14.8243i	−0.107173	+	0.538797i	0.889474	+	0.456985i	$0.151071\pi$
$757$	−2.94873	+	14.8243i	−0.107173	+	0.538797i	−0.996648	+	0.0818122i	$0.973929\pi$
$758$	−19.8655	−	47.7343i	−0.721549	−	1.73379i
$759$	1.57154	+	23.7636i	0.0570433	+	0.862565i
$760$	−7.18409	−	4.74843i	−0.260594	−	0.172244i
$761$	11.1635	−	26.9511i	0.404677	−	0.976976i	−0.581838	−	0.813305i	$-0.697666\pi$
$761$	11.1635	−	26.9511i	0.404677	−	0.976976i	0.986515	−	0.163671i	$-0.0523337\pi$
$762$	4.12415	−	12.2399i	0.149402	−	0.443406i
$763$	−12.6689	+	8.46509i	−0.458645	+	0.306457i
$764$	−14.3474	−	5.88687i	−0.519070	−	0.212980i
$765$	2.22662	+	1.09480i	0.0805036	+	0.0395827i
$766$	7.92913	−	40.2129i	0.286491	−	1.45295i
$767$	−14.4536			−0.521890
$768$	−27.5235	−	3.23413i	−0.993167	−	0.116702i
$769$	−27.4052			−0.988257			−0.494128	−	0.869389i	$-0.664513\pi$
$769$	−27.4052			−0.988257			−0.494128	+	0.869389i	$0.664513\pi$
$770$	−5.03825	+	25.5517i	−0.181566	+	0.920820i
$771$	13.9109	+	1.82310i	0.500987	+	0.0656574i
$772$	−37.0280	−	15.1930i	−1.33267	−	0.546807i
$773$	29.3188	−	19.5902i	1.05452	−	0.704610i	0.0976805	−	0.995218i	$-0.468858\pi$
$773$	29.3188	−	19.5902i	1.05452	−	0.704610i	0.956842	+	0.290608i	$0.0938577\pi$
$774$	−16.0337	−	12.2309i	−0.576320	−	0.439631i
$775$	4.54171	−	10.9647i	0.163143	−	0.393862i
$776$	4.52127	+	2.98840i	0.162304	+	0.107277i
$777$	8.76094	−	0.579380i	0.314297	−	0.0207851i
$778$	16.8262	+	40.4311i	0.603248	+	1.44953i
$779$	−0.404781	+	2.03497i	−0.0145028	+	0.0729103i
$780$	21.3187	+	12.1971i	0.763333	+	0.436727i
$781$	5.03212	−	7.53111i	0.180064	−	0.269484i
$782$	3.35642	+	2.23460i	0.120025	+	0.0799090i
$783$	−7.37285	+	37.4095i	−0.263484	+	1.33691i
$784$	−0.382156	−	57.2717i	−0.0136484	−	2.04542i
$785$	17.1067	+	17.1067i	0.610563	+	0.610563i
$786$	−27.6699	−	3.57937i	−0.986951	−	0.127672i
$787$	−11.2269	+	16.8022i	−0.400194	+	0.598933i	−0.975766	−	0.218819i	$-0.929780\pi$
$787$	−11.2269	+	16.8022i	−0.400194	+	0.598933i	0.575571	+	0.817751i	$0.304780\pi$
$788$	−18.7468	+	3.79403i	−0.667827	+	0.135157i
$789$	1.63789	−	2.84075i	0.0583104	−	0.101133i
$790$	−13.8205	−	5.69763i	−0.491710	−	0.202713i
$791$	27.4656	+	66.3078i	0.976564	+	2.35763i
$792$	−6.78443	−	11.5851i	−0.241074	−	0.411659i
$793$	1.73302	−	4.18387i	0.0615412	−	0.148574i
$794$	28.6611	+	28.5656i	1.01714	+	1.01375i
$795$	−5.78371	−	21.5346i	−0.205127	−	0.763753i
$796$	−29.7904	+	29.9898i	−1.05589	+	1.06296i
$797$	24.3078	−	4.83512i	0.861026	−	0.171269i	0.255222	−	0.966883i	$-0.417852\pi$
$797$	24.3078	−	4.83512i	0.861026	−	0.171269i	0.605804	+	0.795614i	$0.292852\pi$
$798$	3.56511	+	13.1862i	0.126204	+	0.466786i
$799$	−3.44047			−0.121715
$800$	−1.55771	−	7.50350i	−0.0550734	−	0.265289i
$801$	−23.9652	−	18.3445i	−0.846768	−	0.648172i
$802$	36.1314	−	24.2295i	1.27584	−	0.855574i
$803$	−0.575651	−	2.89399i	−0.0203143	−	0.102127i
$804$	−2.49284	−	0.835313i	−0.0879155	−	0.0294592i
$805$	84.1021	−	56.1952i	2.96421	−	1.98062i
$806$	−24.6811	−	24.5989i	−0.869354	−	0.866459i
$807$	−7.73783	+	8.83374i	−0.272384	+	0.310962i
$808$	15.7770	−	0.0789560i	0.555035	−	0.00277766i
$809$	7.98252	−	3.30647i	0.280650	−	0.116249i	−0.237918	−	0.971285i	$-0.576465\pi$
$809$	7.98252	−	3.30647i	0.280650	−	0.116249i	0.518569	+	0.855036i	$0.326465\pi$
$810$	−4.06028	+	31.8273i	−0.142664	+	1.11830i
$811$	−4.33640	+	21.8005i	−0.152271	+	0.765520i	0.826878	+	0.562381i	$0.190114\pi$
$811$	−4.33640	+	21.8005i	−0.152271	+	0.765520i	−0.979150	+	0.203139i	$0.934886\pi$
$812$	−37.4579	+	56.4666i	−1.31451	+	1.98159i
$813$	−2.48797	−	3.23845i	−0.0872567	−	0.113577i
$814$	2.40863	−	0.483284i	0.0844223	−	0.0169391i
$815$	27.1821	−	27.1821i	0.952149	−	0.952149i
$816$	−2.25573	−	0.280331i	−0.0789664	−	0.00981353i
$817$	4.05939	+	4.05939i	0.142020	+	0.142020i
$818$	−27.4739	−	18.2913i	−0.960604	−	0.639540i
$819$	−12.5663	−	36.8769i	−0.439101	−	1.28858i
$820$	−7.18537	+	4.83586i	−0.250924	+	0.168876i
$821$	9.31898	+	1.85366i	0.325235	+	0.0646932i	0.355007	−	0.934863i	$-0.384478\pi$
$821$	9.31898	+	1.85366i	0.325235	+	0.0646932i	−0.0297727	+	0.999557i	$0.509478\pi$
$822$	0.663544	+	9.78565i	0.0231437	+	0.341314i
$823$	−15.6510	−	37.7848i	−0.545559	−	1.31710i	−0.920752	−	0.390149i	$-0.872424\pi$
$823$	−15.6510	−	37.7848i	−0.545559	−	1.31710i	0.375193	−	0.926947i	$-0.377576\pi$
$824$	22.4784	−	15.1829i	0.783073	−	0.528920i
$825$	2.44624	−	2.79270i	0.0851670	−	0.0972293i
$826$	−0.0559743	−	33.5547i	−0.00194759	−	1.16752i
$827$	−11.1011	−	16.6140i	−0.386023	−	0.577725i	0.586668	−	0.809828i	$-0.300439\pi$
$827$	−11.1011	−	16.6140i	−0.386023	−	0.577725i	−0.972691	+	0.232103i	$0.925439\pi$
$828$	−13.2681	+	50.4256i	−0.461099	+	1.75241i
$829$	18.4156	−	3.66308i	0.639599	−	0.127224i	0.135371	−	0.990795i	$-0.456777\pi$
$829$	18.4156	−	3.66308i	0.639599	−	0.127224i	0.504228	+	0.863571i	$0.331777\pi$
$830$	−6.02425	+	30.5522i	−0.209105	+	1.06048i
$831$	−9.12762	+	26.9410i	−0.316634	+	0.934572i
$832$	−22.1115	−	4.16864i	−0.766579	−	0.144521i
$833$		−	4.69769i		−	0.162765i
$834$	16.0178	+	9.19978i	0.554650	+	0.318562i
$835$	−5.75635	−	28.9391i	−0.199207	−	1.00148i
$836$	1.47436	+	3.52609i	0.0509917	+	0.121952i
$837$	17.3461	−	42.0863i	0.599568	−	1.45472i
$838$	12.9525	−	0.0216068i	0.447438	−	0.000746393i
$839$	33.4170	+	13.8418i	1.15368	+	0.477871i	0.875767	−	0.482735i	$-0.160356\pi$
$839$	33.4170	+	13.8418i	1.15368	+	0.477871i	0.277915	+	0.960606i	$0.410356\pi$
$840$	−28.2336	+	49.5397i	−0.974153	+	1.70928i
$841$	22.9544	−	9.50800i	0.791529	−	0.327862i
$842$	−15.0712	−	36.2140i	−0.519386	−	1.24802i
$843$	1.02941	−	1.78541i	0.0354547	−	0.0614926i
$844$	38.8521	−	26.1481i	1.33735	−	0.900054i
$845$	−10.6669	−	7.12737i	−0.366951	−	0.245189i
$846$	−14.4204	−	42.0878i	−0.495782	−	1.44701i
$847$	−27.7400	+	27.7400i	−0.953159	+	0.953159i
$848$	11.4619	+	16.9086i	0.393603	+	0.580644i
$849$	−23.2212	+	11.4683i	−0.796948	+	0.393592i
$850$	−0.123658	−	0.616298i	−0.00424145	−	0.0211388i
$851$	−7.93313	−	5.30075i	−0.271944	−	0.181707i
$852$	15.6853	−	12.1338i	0.537371	−	0.415698i
$853$	−34.0281	−	6.76861i	−1.16510	−	0.231753i	−0.425601	−	0.904911i	$-0.639937\pi$
$853$	−34.0281	−	6.76861i	−1.16510	−	0.231753i	−0.739499	+	0.673158i	$0.764937\pi$
$854$	9.71976	+	4.00707i	0.332603	+	0.137119i
$855$	2.35369	−	8.82546i	0.0804944	−	0.301824i
$856$	−24.3667	+	24.6118i	−0.832837	+	0.841215i
$857$	−10.4355	−	4.32251i	−0.356469	−	0.147654i	0.197260	−	0.980351i	$-0.436796\pi$
$857$	−10.4355	−	4.32251i	−0.356469	−	0.147654i	−0.553729	+	0.832697i	$0.686796\pi$
$858$	−4.84325	−	9.76559i	−0.165346	−	0.333392i
$859$	10.2353	+	15.3182i	0.349223	+	0.522649i	0.963947	−	0.266093i	$-0.0857329\pi$
$859$	10.2353	+	15.3182i	0.349223	+	0.522649i	−0.614725	+	0.788742i	$0.710733\pi$
$860$	0.0799521	+	23.9642i	0.00272634	+	0.817174i
$861$	13.6218	+	1.78522i	0.464230	+	0.0608401i
$862$	19.5858	+	29.2067i	0.667096	+	0.994783i
$863$			17.5580i			0.597681i	0.954303	+	0.298840i	$0.0965998\pi$
$863$			17.5580i			0.597681i	−0.954303	+	0.298840i	$0.903400\pi$
$864$	−6.02532	−	28.7697i	−0.204986	−	0.978765i
$865$			45.3192i			1.54090i
$866$	−2.06415	+	1.38421i	−0.0701427	+	0.0470373i
$867$	29.0103	+	3.80198i	0.985243	+	0.129122i
$868$	57.0119	−	57.3936i	1.93511	−	1.94806i
$869$	3.68593	+	5.51638i	0.125036	+	0.187130i
$870$	40.5925	−	20.1319i	1.37621	−	0.682535i
$871$	−1.97214	−	0.816889i	−0.0668235	−	0.0276792i
$872$	−8.60539	+	3.61503i	−0.291415	+	0.122420i
$873$	−1.48128	+	5.55425i	−0.0501338	+	0.187983i
$874$	5.65751	−	13.7232i	0.191368	−	0.464193i
$875$	41.6129	+	8.27732i	1.40677	+	0.279825i
$876$	0.818105	−	6.40826i	0.0276412	−	0.216515i
$877$	−32.6664	−	21.8270i	−1.10307	−	0.737045i	−0.135781	−	0.990739i	$-0.543354\pi$
$877$	−32.6664	−	21.8270i	−1.10307	−	0.737045i	−0.967284	+	0.253694i	$0.918354\pi$
$878$	−29.0385	+	5.82649i	−0.980001	+	0.196634i
$879$	23.4421	−	11.5774i	0.790682	−	0.390497i
$880$	−6.00688	+	14.7801i	−0.202492	+	0.498236i
$881$	37.3950	−	37.3950i	1.25987	−	1.25987i	0.308717	−	0.951154i	$-0.400100\pi$
$881$	37.3950	−	37.3950i	1.25987	−	1.25987i	0.951154	−	0.308717i	$-0.0998996\pi$
$882$	57.4676	−	19.6899i	1.93504	−	0.662992i
$883$	11.2869	+	7.54166i	0.379834	+	0.253797i	0.730801	−	0.682591i	$-0.239147\pi$
$883$	11.2869	+	7.54166i	0.379834	+	0.253797i	−0.350966	+	0.936388i	$0.614147\pi$
$884$	−1.81133	−	0.354018i	−0.0609216	−	0.0119069i
$885$	−11.2073	+	19.4379i	−0.376730	+	0.653399i
$886$	26.6337	−	11.0841i	0.894777	−	0.372379i
$887$	−13.5298	+	5.60421i	−0.454285	+	0.188171i	−0.598080	−	0.801437i	$-0.704069\pi$
$887$	−13.5298	+	5.60421i	−0.454285	+	0.188171i	0.143795	+	0.989607i	$0.454069\pi$
$888$	5.33640	+	0.672222i	0.179078	+	0.0225583i
$889$	22.4929	+	9.31686i	0.754387	+	0.312477i
$890$	0.0598274	+	35.8646i	0.00200542	+	1.20218i
$891$	9.36387	−	10.7281i	0.313701	−	0.359404i
$892$	−7.50088	−	3.07769i	−0.251148	−	0.103049i
$893$	2.47085	+	12.4218i	0.0826839	+	0.415680i
$894$	−10.3764	+	18.0663i	−0.347037	+	0.604228i
$895$			24.2506i			0.810607i
$896$	9.59205	−	51.3491i	0.320448	−	1.71545i
$897$	−13.5850	+	40.0972i	−0.453588	+	1.33881i
$898$	−3.23327	−	0.637532i	−0.107896	−	0.0212747i
$899$	−63.0489	+	12.5412i	−2.10280	+	0.418273i
$900$	7.02097	−	4.09588i	0.234032	−	0.136529i
$901$	0.930863	+	1.39313i	0.0310115	+	0.0464120i
$902$	3.84392	−	0.00641222i	0.127988	−	0.000213504i
$903$	25.0465	−	28.5938i	0.833495	−	0.951543i
$904$	8.79306	+	43.0779i	0.292453	+	1.43275i
$905$	4.04212	+	9.75855i	0.134365	+	0.324385i
$906$	−57.5805	+	3.90441i	−1.91298	+	0.129715i
$907$	15.6856	+	3.12006i	0.520833	+	0.103600i	0.448504	−	0.893781i	$-0.351957\pi$
$907$	15.6856	+	3.12006i	0.520833	+	0.103600i	0.0723286	+	0.997381i	$0.476957\pi$
$908$	0.0791948	−	0.405199i	0.00262817	−	0.0134470i
$909$	5.39764	+	15.8399i	0.179028	+	0.525376i
$910$	−25.6569	+	38.5373i	−0.850519	+	1.27750i
$911$	12.3108	+	12.3108i	0.407876	+	0.407876i	0.880997	−	0.473121i	$-0.156873\pi$
$911$	12.3108	+	12.3108i	0.407876	+	0.407876i	−0.473121	+	0.880997i	$0.656873\pi$
$912$	0.607872	+	8.34564i	0.0201286	+	0.276352i
$913$	9.77260	−	9.77260i	0.323426	−	0.323426i
$914$	6.67180	+	33.2514i	0.220684	+	1.09986i
$915$	−4.28290	−	5.57481i	−0.141588	−	0.184298i
$916$	42.4878	−	8.59881i	1.40384	−	0.284113i
$917$	10.2600	−	51.5804i	0.338814	−	1.70333i
$918$	−0.478457	−	2.36302i	−0.0157914	−	0.0779912i
$919$	45.3738	−	18.7944i	1.49674	−	0.619971i	0.523971	−	0.851736i	$-0.324450\pi$
$919$	45.3738	−	18.7944i	1.49674	−	0.619971i	0.972772	+	0.231765i	$0.0744502\pi$
$920$	57.1266	−	23.9983i	1.88341	−	0.791199i
$921$	−33.3167	+	38.0354i	−1.09782	+	1.25331i
$922$	10.9480	−	10.9846i	0.360554	−	0.361759i
$923$	13.3878	−	8.94542i	0.440664	−	0.294442i
$924$	22.6525	−	11.2817i	0.745213	−	0.371139i
$925$	0.290168	+	1.45877i	0.00954065	+	0.0479641i
$926$	12.6046	+	18.7962i	0.414213	+	0.617681i
$927$	22.8461	+	17.4879i	0.750365	+	0.574379i
$928$	−29.1060	+	29.5956i	−0.955451	+	0.971524i
$929$	27.0030			0.885941			0.442971	−	0.896536i	$-0.353925\pi$
$929$	27.0030			0.885941			0.442971	+	0.896536i	$0.353925\pi$
$930$	−52.2195	+	14.1184i	−1.71234	+	0.462961i
$931$	−16.9610	+	3.37375i	−0.555874	+	0.110570i
$932$	40.0363	−	0.133574i	1.31143	−	0.00437535i
$933$	9.30197	+	34.6342i	0.304533	+	1.13387i
$934$	−16.1386	+	16.1925i	−0.528071	+	0.529836i
$935$	−0.500779	+	1.20899i	−0.0163772	+	0.0395381i
$936$	−3.26123	−	23.6421i	−0.106597	−	0.772766i
$937$	16.7515	+	40.4417i	0.547247	+	1.32117i	0.919518	+	0.393048i	$0.128579\pi$
$937$	16.7515	+	40.4417i	0.547247	+	1.32117i	−0.372271	+	0.928124i	$0.621421\pi$
$938$	1.88881	−	4.58159i	0.0616717	−	0.149594i
$939$	12.7958	−	22.1930i	0.417575	−	0.724241i
$940$	−29.2256	+	44.0568i	−0.953235	+	1.43697i
$941$	−29.4949	+	44.1422i	−0.961506	+	1.43900i	−0.0640218	+	0.997949i	$0.520393\pi$
$941$	−29.4949	+	44.1422i	−0.961506	+	1.43900i	−0.897484	+	0.441047i	$0.854607\pi$
$942$	3.01580	−	23.3133i	0.0982601	−	0.759588i
$943$	−10.5564	−	10.5564i	−0.343765	−	0.343765i
$944$	3.87553	−	20.1866i	0.126138	−	0.657019i
$945$	−59.3378	−	11.6946i	−1.93026	−	0.380424i
$946$	5.89412	−	8.85310i	0.191634	−	0.287839i
$947$	−11.3645	+	17.0082i	−0.369296	+	0.552691i	−0.968852	−	0.247642i	$-0.920344\pi$
$947$	−11.3645	+	17.0082i	−0.369296	+	0.552691i	0.599555	+	0.800333i	$0.295344\pi$
$948$	3.81451	+	14.0158i	0.123890	+	0.455213i
$949$	1.02331	−	5.14454i	0.0332182	−	0.166999i
$950$	−2.13633	+	0.889076i	−0.0693118	+	0.0288454i
$951$	−42.0208	+	2.77893i	−1.36262	+	0.0901129i
$952$	0.814853	−	4.20645i	0.0264096	−	0.136332i
$953$	16.1520	−	38.9943i	0.523213	−	1.26315i	−0.412683	−	0.910875i	$-0.635408\pi$
$953$	16.1520	−	38.9943i	0.523213	−	1.26315i	0.935897	−	0.352274i	$-0.114592\pi$
$954$	−13.1408	+	17.2266i	−0.425450	+	0.557731i
$955$	−16.2527	+	10.8597i	−0.525924	+	0.351411i
$956$	−3.39493	+	1.41951i	−0.109800	+	0.0459104i
$957$	−19.9389	−	2.61312i	−0.644533	−	0.0844700i
$958$	−28.9227	−	5.70295i	−0.934451	−	0.184254i
$959$	−18.4878			−0.597003
$960$	−22.7514	+	26.5043i	−0.734300	+	0.855424i
$961$	45.7462			1.47568
$962$	4.28457	+	0.844826i	0.138140	+	0.0272383i
$963$	−32.9651	−	16.2086i	−1.06228	−	0.522313i
$964$	−0.367652	−	0.879281i	−0.0118413	−	0.0283197i
$965$	−41.9452	+	28.0269i	−1.35026	+	0.902218i
$966$	−93.1401	−	31.3828i	−2.99673	−	1.00973i
$967$	−0.829003	+	2.00139i	−0.0266589	+	0.0643604i	−0.936648	−	0.350271i	$-0.886089\pi$
$967$	−0.829003	+	2.00139i	−0.0266589	+	0.0643604i	0.909989	+	0.414631i	$0.136089\pi$
$968$	−19.9149	+	13.4513i	−0.640088	+	0.432342i
$969$	0.0452907	+	0.684850i	0.00145495	+	0.0220006i
$970$	6.30671	−	2.62466i	0.202496	−	0.0842727i
$971$	1.49305	−	7.50607i	0.0479143	−	0.240881i	−0.949405	−	0.314054i	$-0.898313\pi$
$971$	1.49305	−	7.50607i	0.0479143	−	0.240881i	0.997319	+	0.0731731i	$0.0233126\pi$
$972$	26.9018	−	15.7574i	0.862875	−	0.505418i
$973$	−19.3440	+	28.9504i	−0.620141	+	0.928106i
$974$	−4.77801	+	7.17669i	−0.153097	+	0.229956i
$975$	5.91739	−	2.92245i	0.189508	−	0.0935932i
$976$	5.37872	+	3.54226i	0.172169	+	0.113385i
$977$	15.9501	+	15.9501i	0.510289	+	0.510289i	0.914615	−	0.404326i	$-0.132494\pi$
$977$	15.9501	+	15.9501i	0.510289	+	0.510289i	−0.404326	+	0.914615i	$0.632494\pi$
$978$	−37.0444	−	4.79205i	−1.18455	−	0.153233i
$979$	8.84311	−	13.2346i	0.282627	−	0.422981i
$980$	−60.1560	−	39.9053i	−1.92161	−	1.27473i
$981$	−6.53629	−	7.43561i	−0.208688	−	0.237401i
$982$	−17.5049	+	42.4607i	−0.558603	+	1.35498i
$983$	−0.335743	−	0.810555i	−0.0107085	−	0.0258527i	0.918435	−	0.395572i	$-0.129454\pi$
$983$	−0.335743	−	0.810555i	−0.0107085	−	0.0258527i	−0.929143	+	0.369720i	$0.879454\pi$
$984$	7.98429	+	2.66061i	0.254530	+	0.0848173i
$985$	−9.22575	+	22.2729i	−0.293957	+	0.709675i
$986$	−2.40350	+	2.41153i	−0.0765431	+	0.0767989i
$987$	80.9906	−	21.7523i	2.57796	−	0.692382i
$988$	0.0226670	+	6.79404i	0.000721134	+	0.216147i
$989$	−40.5133	+	8.05860i	−1.28825	+	0.256249i
$990$	−16.8887	−	1.05877i	−0.536758	−	0.0336500i
$991$	−20.2298			−0.642621			−0.321311	−	0.946974i	$-0.604123\pi$
$991$	−20.2298			−0.642621			−0.321311	+	0.946974i	$0.604123\pi$
$992$	40.9739	−	27.8750i	1.30092	−	0.885032i
$993$	−3.80267	+	11.2239i	−0.120674	+	0.356180i
$994$	20.8191	+	31.0457i	0.660340	+	0.984709i
$995$	10.3944	+	52.2561i	0.329524	+	1.65663i
$996$	27.0856	−	13.4895i	0.858241	−	0.427431i
$997$	−49.2038	+	32.8769i	−1.55830	+	1.04122i	−0.585184	+	0.810901i	$0.698978\pi$
$997$	−49.2038	+	32.8769i	−1.55830	+	1.04122i	−0.973115	+	0.230321i	$0.926022\pi$
$998$	−8.97473	+	9.00472i	−0.284090	+	0.285039i
$999$	1.12280	+	5.59326i	0.0355238	+	0.176963i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	192.2.s.a.11.17	yes	240
3.2	odd	2	inner	192.2.s.a.11.14	✓	240
4.3	odd	2		768.2.s.a.719.18		240
12.11	even	2		768.2.s.a.719.9		240
64.29	even	16		768.2.s.a.47.9		240
64.35	odd	16	inner	192.2.s.a.35.14	yes	240
192.29	odd	16		768.2.s.a.47.18		240
192.35	even	16	inner	192.2.s.a.35.17	yes	240

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
192.2.s.a.11.14	✓	240	3.2	odd	2	inner
192.2.s.a.11.17	yes	240	1.1	even	1	trivial
192.2.s.a.35.14	yes	240	64.35	odd	16	inner
192.2.s.a.35.17	yes	240	192.35	even	16	inner
768.2.s.a.47.9		240	64.29	even	16
768.2.s.a.47.18		240	192.29	odd	16
768.2.s.a.719.9		240	12.11	even	2
768.2.s.a.719.18		240	4.3	odd	2

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:	\( N \)	\(=\)	\( 192 = 2^{6} \cdot 3 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	192.s (of order \(16\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(0.273585 - 1.38750i) q^{2} +(-0.225071 + 1.71737i) q^{3} +(-1.85030 - 0.759198i) q^{4} +(-2.09602 + 1.40051i) q^{5} +(2.32126 + 0.782132i) q^{6} +(-1.76691 + 4.26571i) q^{7} +(-1.55960 + 2.35959i) q^{8} +(-2.89869 - 0.773059i) q^{9} +O(q^{10})\)	\(q+(0.273585 - 1.38750i) q^{2} +(-0.225071 + 1.71737i) q^{3} +(-1.85030 - 0.759198i) q^{4} +(-2.09602 + 1.40051i) q^{5} +(2.32126 + 0.782132i) q^{6} +(-1.76691 + 4.26571i) q^{7} +(-1.55960 + 2.35959i) q^{8} +(-2.89869 - 0.773059i) q^{9} +(1.36977 + 3.29138i) q^{10} +(0.308673 - 1.55181i) q^{11} +(1.72027 - 3.00677i) q^{12} +(1.56261 - 2.33862i) q^{13} +(5.43526 + 3.61862i) q^{14} +(-1.93344 - 3.91484i) q^{15} +(2.84724 + 2.80949i) q^{16} +(0.231996 + 0.231996i) q^{17} +(-1.86566 + 3.81042i) q^{18} +(0.671007 - 1.00423i) q^{19} +(4.94153 - 1.00008i) q^{20} +(-6.92809 - 3.99452i) q^{21} +(-2.06868 - 0.852835i) q^{22} +(3.32565 + 8.02882i) q^{23} +(-3.70125 - 3.20948i) q^{24} +(0.518431 - 1.25160i) q^{25} +(-2.81732 - 2.80793i) q^{26} +(1.98004 - 4.80411i) q^{27} +(6.50784 - 6.55141i) q^{28} +(-7.19696 + 1.43156i) q^{29} +(-5.96080 + 1.61160i) q^{30} +8.76049 q^{31} +(4.67713 - 3.18190i) q^{32} +(2.59554 + 0.879372i) q^{33} +(0.385364 - 0.258423i) q^{34} +(-2.27070 - 11.4156i) q^{35} +(4.77654 + 3.63107i) q^{36} +(-0.912868 + 0.609959i) q^{37} +(-1.20979 - 1.20576i) q^{38} +(3.66456 + 3.20993i) q^{39} +(-0.0356818 - 7.12997i) q^{40} +(-1.58713 + 0.657409i) q^{41} +(-7.43782 + 8.51988i) q^{42} +(-0.927306 + 4.66188i) q^{43} +(-1.74927 + 2.63697i) q^{44} +(7.15837 - 2.43930i) q^{45} +(12.0498 - 2.41776i) q^{46} +(-7.41495 + 7.41495i) q^{47} +(-5.46575 + 4.25741i) q^{48} +(-10.1245 - 10.1245i) q^{49} +(-1.59476 - 1.06174i) q^{50} +(-0.450637 + 0.346206i) q^{51} +(-4.66678 + 3.14081i) q^{52} +(5.00871 + 0.996294i) q^{53} +(-6.12398 - 4.06163i) q^{54} +(1.52634 + 3.68491i) q^{55} +(-7.30962 - 10.8220i) q^{56} +(1.57361 + 1.37839i) q^{57} +(0.0173111 + 10.3774i) q^{58} +(-2.85498 - 4.27277i) q^{59} +(0.605309 + 8.71150i) q^{60} +(1.57915 - 0.314113i) q^{61} +(2.39674 - 12.1552i) q^{62} +(8.41937 - 10.9990i) q^{63} +(-3.13529 - 7.36002i) q^{64} +7.09024i q^{65} +(1.93023 - 3.36073i) q^{66} +(-0.148063 - 0.744362i) q^{67} +(-0.253131 - 0.605393i) q^{68} +(-14.5369 + 3.90429i) q^{69} +(-16.4603 + 0.0274583i) q^{70} +(5.28889 + 2.19073i) q^{71} +(6.34489 - 5.63403i) q^{72} +(1.72296 - 0.713674i) q^{73} +(0.596570 + 1.43348i) q^{74} +(2.03278 + 1.17204i) q^{75} +(-2.00398 + 1.34871i) q^{76} +(6.07415 + 4.05862i) q^{77} +(5.45635 - 4.20638i) q^{78} +(-2.96503 + 2.96503i) q^{79} +(-9.90259 - 1.90115i) q^{80} +(7.80476 + 4.48171i) q^{81} +(0.477940 + 2.38199i) q^{82} +(7.26287 + 4.85289i) q^{83} +(9.78644 + 12.6509i) q^{84} +(-0.811180 - 0.161354i) q^{85} +(6.21466 + 2.56206i) q^{86} +(-0.838690 - 12.6820i) q^{87} +(3.18021 + 3.14854i) q^{88} +(9.29433 + 3.84984i) q^{89} +(-1.42610 - 10.5996i) q^{90} +(7.21485 + 10.7978i) q^{91} +(-0.0579869 - 17.3806i) q^{92} +(-1.97173 + 15.0450i) q^{93} +(8.25960 + 12.3168i) q^{94} +3.04464i q^{95} +(4.41180 + 8.74849i) q^{96} -1.91613i q^{97} +(-16.8177 + 11.2778i) q^{98} +(-2.09438 + 4.25957i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 240 q - 8 q^{3} - 16 q^{4} - 8 q^{6} - 16 q^{7} - 8 q^{9}+O(q^{10}) \) 240 * q - 8 * q^3 - 16 * q^4 - 8 * q^6 - 16 * q^7 - 8 * q^9	\( 240 q - 8 q^{3} - 16 q^{4} - 8 q^{6} - 16 q^{7} - 8 q^{9} - 16 q^{10} - 8 q^{12} - 16 q^{13} - 8 q^{15} - 16 q^{16} - 8 q^{18} - 16 q^{19} - 8 q^{21} - 16 q^{22} - 48 q^{24} - 16 q^{25} - 8 q^{27} - 16 q^{28} - 88 q^{30} - 32 q^{31} - 16 q^{34} - 88 q^{36} - 16 q^{37} - 8 q^{39} - 16 q^{40} - 48 q^{42} - 16 q^{43} - 8 q^{45} - 16 q^{46} - 8 q^{48} - 16 q^{49} - 8 q^{51} + 32 q^{52} - 8 q^{54} - 80 q^{55} - 8 q^{57} + 128 q^{58} - 8 q^{60} - 16 q^{61} + 80 q^{64} - 24 q^{66} - 144 q^{67} - 8 q^{69} + 80 q^{70} - 8 q^{72} - 16 q^{73} - 8 q^{75} + 96 q^{76} + 16 q^{78} - 48 q^{79} - 8 q^{81} + 64 q^{82} + 104 q^{84} - 16 q^{85} - 8 q^{87} + 64 q^{88} + 136 q^{90} - 16 q^{91} - 32 q^{93} + 80 q^{94} + 128 q^{96} - 8 q^{99}+O(q^{100}) \) 240 * q - 8 * q^3 - 16 * q^4 - 8 * q^6 - 16 * q^7 - 8 * q^9 - 16 * q^10 - 8 * q^12 - 16 * q^13 - 8 * q^15 - 16 * q^16 - 8 * q^18 - 16 * q^19 - 8 * q^21 - 16 * q^22 - 48 * q^24 - 16 * q^25 - 8 * q^27 - 16 * q^28 - 88 * q^30 - 32 * q^31 - 16 * q^34 - 88 * q^36 - 16 * q^37 - 8 * q^39 - 16 * q^40 - 48 * q^42 - 16 * q^43 - 8 * q^45 - 16 * q^46 - 8 * q^48 - 16 * q^49 - 8 * q^51 + 32 * q^52 - 8 * q^54 - 80 * q^55 - 8 * q^57 + 128 * q^58 - 8 * q^60 - 16 * q^61 + 80 * q^64 - 24 * q^66 - 144 * q^67 - 8 * q^69 + 80 * q^70 - 8 * q^72 - 16 * q^73 - 8 * q^75 + 96 * q^76 + 16 * q^78 - 48 * q^79 - 8 * q^81 + 64 * q^82 + 104 * q^84 - 16 * q^85 - 8 * q^87 + 64 * q^88 + 136 * q^90 - 16 * q^91 - 32 * q^93 + 80 * q^94 + 128 * q^96 - 8 * q^99

Introduction

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