LMFDB - Embedded newform 192.2.s.a.107.17

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			107.17
Character	$\chi$	$=$	192.107
Dual form			192.2.s.a.131.17

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.304811 + 1.38097i) q^{2} +(1.39162 + 1.03121i) q^{3} +(-1.81418 + 0.841871i) q^{4} +(0.689635 + 1.03211i) q^{5} +(-0.999893 + 2.23612i) q^{6} +(0.531539 - 1.28325i) q^{7} +(-1.71558 - 2.24873i) q^{8} +(0.873215 + 2.87010i) q^{9} +O(q^{10})$	\(q+(0.304811 + 1.38097i) q^{2} +(1.39162 + 1.03121i) q^{3} +(-1.81418 + 0.841871i) q^{4} +(0.689635 + 1.03211i) q^{5} +(-0.999893 + 2.23612i) q^{6} +(0.531539 - 1.28325i) q^{7} +(-1.71558 - 2.24873i) q^{8} +(0.873215 + 2.87010i) q^{9} +(-1.21511 + 1.26697i) q^{10} +(0.849877 + 0.169051i) q^{11} +(-3.39280 - 0.699235i) q^{12} +(-3.13678 - 2.09593i) q^{13} +(1.93415 + 0.342894i) q^{14} +(-0.104613 + 2.14746i) q^{15} +(2.58251 - 3.05461i) q^{16} +(-2.43904 - 2.43904i) q^{17} +(-3.69737 + 2.08073i) q^{18} +(4.45358 + 2.97579i) q^{19} +(-2.12003 - 1.29185i) q^{20} +(2.06300 - 1.23767i) q^{21} +(0.0255964 + 1.22519i) q^{22} +(-1.37698 - 3.32434i) q^{23} +(-0.0685352 - 4.89850i) q^{24} +(1.32376 - 3.19584i) q^{25} +(1.93830 - 4.97067i) q^{26} +(-1.74449 + 4.89456i) q^{27} +(0.116022 + 2.77553i) q^{28} +(0.610135 + 3.06735i) q^{29} +(-2.99748 + 0.510102i) q^{30} +4.09399 q^{31} +(5.00552 + 2.63529i) q^{32} +(1.00838 + 1.11166i) q^{33} +(2.62481 - 4.11170i) q^{34} +(1.69102 - 0.336365i) q^{35} +(-4.00043 - 4.47175i) q^{36} +(-3.06332 - 4.58459i) q^{37} +(-2.75199 + 7.05734i) q^{38} +(-2.20386 - 6.15141i) q^{39} +(1.13781 - 3.32147i) q^{40} +(-11.6702 + 4.83397i) q^{41} +(2.33801 + 2.47169i) q^{42} +(7.69717 + 1.53106i) q^{43} +(-1.68415 + 0.408798i) q^{44} +(-2.36007 + 2.88058i) q^{45} +(4.17110 - 2.91487i) q^{46} +(5.07470 - 5.07470i) q^{47} +(6.74381 - 1.58776i) q^{48} +(3.58555 + 3.58555i) q^{49} +(4.81687 + 0.853953i) q^{50} +(-0.879057 - 5.90938i) q^{51} +(7.45518 + 1.16163i) q^{52} +(0.596430 - 2.99845i) q^{53} +(-7.29101 - 0.917187i) q^{54} +(0.411625 + 0.993751i) q^{55} +(-3.79758 + 1.00624i) q^{56} +(3.12904 + 8.73375i) q^{57} +(-4.04996 + 1.77754i) q^{58} +(4.43794 - 2.96533i) q^{59} +(-1.61810 - 3.98396i) q^{60} +(-1.56465 - 7.86602i) q^{61} +(1.24789 + 5.65370i) q^{62} +(4.14721 + 0.405020i) q^{63} +(-2.11354 + 7.71576i) q^{64} -4.68293i q^{65} +(-1.22780 + 1.73139i) q^{66} +(2.38806 - 0.475014i) q^{67} +(6.47822 + 2.37150i) q^{68} +(1.51185 - 6.04617i) q^{69} +(0.979954 + 2.23273i) q^{70} +(-14.5235 - 6.01581i) q^{71} +(4.95600 - 6.88753i) q^{72} +(-13.9786 + 5.79012i) q^{73} +(5.39747 - 5.62781i) q^{74} +(5.13775 - 3.08232i) q^{75} +(-10.5848 - 1.64928i) q^{76} +(0.668677 - 1.00075i) q^{77} +(7.82318 - 4.91849i) q^{78} +(-10.6005 + 10.6005i) q^{79} +(4.93369 + 0.558865i) q^{80} +(-7.47499 + 5.01244i) q^{81} +(-10.2328 - 14.6428i) q^{82} +(-0.102611 + 0.153569i) q^{83} +(-2.70070 + 3.98213i) q^{84} +(0.835314 - 4.19941i) q^{85} +(0.231821 + 11.0963i) q^{86} +(-2.31401 + 4.89777i) q^{87} +(-1.07789 - 2.20116i) q^{88} +(0.0845738 + 0.0350316i) q^{89} +(-4.69738 - 2.38116i) q^{90} +(-4.35692 + 2.91120i) q^{91} +(5.29676 + 4.87170i) q^{92} +(5.69728 + 4.22176i) q^{93} +(8.55486 + 5.46121i) q^{94} +6.64880i q^{95} +(4.24824 + 8.82907i) q^{96} +1.22702i q^{97} +(-3.85864 + 6.04447i) q^{98} +(0.256931 + 2.58685i) 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 $\left(\mathbb{Z}/192\mathbb{Z}\right)^\times$.

$n$	$65$	$127$	$133$
$\chi(n)$	$-1$	$-1$	$e\left(\frac{13}{16}\right)$

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 $

$2$	0.304811	+	1.38097i	0.215534	+	0.976496i
$2$	0.304811	+	1.38097i	0.215534	+	0.976496i
$3$	1.39162	+	1.03121i	0.803452	+	0.595369i
$3$	1.39162	+	1.03121i	0.803452	+	0.595369i
$4$	−1.81418	+	0.841871i	−0.907090	+	0.420936i
$5$	0.689635	+	1.03211i	0.308414	+	0.461574i	0.953005	−	0.302953i	$-0.0979725\pi$
$5$	0.689635	+	1.03211i	0.308414	+	0.461574i	−0.644592	+	0.764527i	$0.722973\pi$
$6$	−0.999893	+	2.23612i	−0.408205	+	0.912890i
$7$	0.531539	−	1.28325i	0.200903	−	0.485023i	−0.791031	−	0.611776i	$-0.790456\pi$
$7$	0.531539	−	1.28325i	0.200903	−	0.485023i	0.991934	+	0.126753i	$0.0404556\pi$
$8$	−1.71558	−	2.24873i	−0.606551	−	0.795045i
$9$	0.873215	+	2.87010i	0.291072	+	0.956701i
$10$	−1.21511	+	1.26697i	−0.384252	+	0.400650i
$11$	0.849877	+	0.169051i	0.256247	+	0.0509708i	0.321542	−	0.946895i	$-0.395799\pi$
$11$	0.849877	+	0.169051i	0.256247	+	0.0509708i	−0.0652948	+	0.997866i	$0.520799\pi$
$12$	−3.39280	−	0.699235i	−0.979416	−	0.201852i
$13$	−3.13678	−	2.09593i	−0.869985	−	0.581306i	0.0384830	−	0.999259i	$-0.487747\pi$
$13$	−3.13678	−	2.09593i	−0.869985	−	0.581306i	−0.908468	+	0.417954i	$0.862747\pi$
$14$	1.93415	+	0.342894i	0.516924	+	0.0916423i
$15$	−0.104613	+	2.14746i	−0.0270109	+	0.554473i
$16$	2.58251	−	3.05461i	0.645626	−	0.763654i
$17$	−2.43904	−	2.43904i	−0.591554	−	0.591554i	0.346497	−	0.938051i	$-0.387371\pi$
$17$	−2.43904	−	2.43904i	−0.591554	−	0.591554i	−0.938051	+	0.346497i	$0.887371\pi$
$18$	−3.69737	+	2.08073i	−0.871480	+	0.490432i
$19$	4.45358	+	2.97579i	1.02172	+	0.682693i	0.949200	−	0.314674i	$-0.101895\pi$
$19$	4.45358	+	2.97579i	1.02172	+	0.682693i	0.0725224	+	0.997367i	$0.476895\pi$
$20$	−2.12003	−	1.29185i	−0.474052	−	0.288867i
$21$	2.06300	−	1.23767i	0.450183	−	0.270081i
$22$	0.0255964	+	1.22519i	0.00545716	+	0.261211i
$23$	−1.37698	−	3.32434i	−0.287121	−	0.693172i	0.712846	−	0.701321i	$-0.247406\pi$
$23$	−1.37698	−	3.32434i	−0.287121	−	0.693172i	−0.999967	+	0.00814917i	$0.997406\pi$
$24$	−0.0685352	−	4.89850i	−0.0139897	−	0.999902i
$25$	1.32376	−	3.19584i	0.264752	−	0.639168i
$26$	1.93830	−	4.97067i	0.380132	−	0.974828i
$27$	−1.74449	+	4.89456i	−0.335728	+	0.941959i
$28$	0.116022	+	2.77553i	0.0219262	+	0.524527i
$29$	0.610135	+	3.06735i	0.113299	+	0.569593i	0.995175	+	0.0981122i	$0.0312804\pi$
$29$	0.610135	+	3.06735i	0.113299	+	0.569593i	−0.881876	+	0.471481i	$0.843720\pi$
$30$	−2.99748	+	0.510102i	−0.547263	+	0.0931315i
$31$	4.09399			0.735303			0.367651	−	0.929964i	$-0.380162\pi$
$31$	4.09399			0.735303			0.367651	+	0.929964i	$0.380162\pi$
$32$	5.00552	+	2.63529i	0.884859	+	0.465859i
$33$	1.00838	+	1.11166i	0.175536	+	0.193514i
$34$	2.62481	−	4.11170i	0.450151	−	0.705150i
$35$	1.69102	−	0.336365i	0.285835	−	0.0568561i
$36$	−4.00043	−	4.47175i	−0.666738	−	0.745292i
$37$	−3.06332	−	4.58459i	−0.503608	−	0.753702i	0.489361	−	0.872081i	$-0.337230\pi$
$37$	−3.06332	−	4.58459i	−0.503608	−	0.753702i	−0.992968	+	0.118379i	$0.962230\pi$
$38$	−2.75199	+	7.05734i	−0.446432	+	1.14485i
$39$	−2.20386	−	6.15141i	−0.352901	−	0.985014i
$40$	1.13781	−	3.32147i	0.179903	−	0.525171i
$41$	−11.6702	+	4.83397i	−1.82258	+	0.754939i	−0.848335	+	0.529460i	$0.822395\pi$
$41$	−11.6702	+	4.83397i	−1.82258	+	0.754939i	−0.974248	+	0.225479i	$0.927605\pi$
$42$	2.33801	+	2.47169i	0.360763	+	0.381391i
$43$	7.69717	+	1.53106i	1.17381	+	0.233485i	0.743209	−	0.669059i	$-0.233303\pi$
$43$	7.69717	+	1.53106i	1.17381	+	0.233485i	0.430598	+	0.902544i	$0.358303\pi$
$44$	−1.68415	+	0.408798i	−0.253895	+	0.0616286i
$45$	−2.36007	+	2.88058i	−0.351818	+	0.429411i
$46$	4.17110	−	2.91487i	0.614996	−	0.429775i
$47$	5.07470	−	5.07470i	0.740222	−	0.740222i	−0.232399	−	0.972621i	$-0.574657\pi$
$47$	5.07470	−	5.07470i	0.740222	−	0.740222i	0.972621	+	0.232399i	$0.0746575\pi$
$48$	6.74381	−	1.58776i	0.973386	−	0.229173i
$49$	3.58555	+	3.58555i	0.512222	+	0.512222i
$50$	4.81687	+	0.853953i	0.681208	+	0.120767i
$51$	−0.879057	−	5.90938i	−0.123093	−	0.827479i
$52$	7.45518	+	1.16163i	1.03385	+	0.161089i
$53$	0.596430	−	2.99845i	0.0819259	−	0.411869i	−0.917959	−	0.396676i	$-0.870164\pi$
$53$	0.596430	−	2.99845i	0.0819259	−	0.411869i	0.999885	−	0.0151933i	$-0.00483637\pi$
$54$	−7.29101	−	0.917187i	−0.992180	−	0.124813i
$55$	0.411625	+	0.993751i	0.0555035	+	0.133997i
$56$	−3.79758	+	1.00624i	−0.507472	+	0.134464i
$57$	3.12904	+	8.73375i	0.414451	+	1.15681i
$58$	−4.04996	+	1.77754i	−0.531786	+	0.233403i
$59$	4.43794	−	2.96533i	0.577770	−	0.386054i	−0.232075	−	0.972698i	$-0.574551\pi$
$59$	4.43794	−	2.96533i	0.577770	−	0.386054i	0.809845	+	0.586644i	$0.199551\pi$
$60$	−1.61810	−	3.98396i	−0.208896	−	0.514327i
$61$	−1.56465	−	7.86602i	−0.200333	−	1.00714i	−0.941806	−	0.336158i	$-0.890872\pi$
$61$	−1.56465	−	7.86602i	−0.200333	−	1.00714i	0.741473	−	0.670983i	$-0.234128\pi$
$62$	1.24789	+	5.65370i	0.158482	+	0.718020i
$63$	4.14721	+	0.405020i	0.522499	+	0.0510278i
$64$	−2.11354	+	7.71576i	−0.264192	+	0.964470i
$65$		−	4.68293i		−	0.580845i
$66$	−1.22780	+	1.73139i	−0.151132	+	0.213119i
$67$	2.38806	−	0.475014i	0.291748	−	0.0580322i	−0.0470466	−	0.998893i	$-0.514981\pi$
$67$	2.38806	−	0.475014i	0.291748	−	0.0580322i	0.338794	+	0.940860i	$0.389981\pi$
$68$	6.47822	+	2.37150i	0.785599	+	0.287587i
$69$	1.51185	−	6.04617i	0.182005	−	0.727874i
$70$	0.979954	+	2.23273i	0.117127	+	0.266863i
$71$	−14.5235	−	6.01581i	−1.72362	−	0.713945i	−0.999711	−	0.0240465i	$-0.992345\pi$
$71$	−14.5235	−	6.01581i	−1.72362	−	0.713945i	−0.723906	−	0.689899i	$-0.757655\pi$
$72$	4.95600	−	6.88753i	0.584071	−	0.811703i
$73$	−13.9786	+	5.79012i	−1.63607	+	0.677682i	−0.995892	−	0.0905453i	$-0.971139\pi$
$73$	−13.9786	+	5.79012i	−1.63607	+	0.677682i	−0.640177	+	0.768227i	$0.721139\pi$
$74$	5.39747	−	5.62781i	0.627443	−	0.654219i
$75$	5.13775	−	3.08232i	0.593256	−	0.355916i
$76$	−10.5848	−	1.64928i	−1.21416	−	0.189185i
$77$	0.668677	−	1.00075i	0.0762029	−	0.114046i
$78$	7.82318	−	4.91849i	0.885800	−	0.556910i
$79$	−10.6005	+	10.6005i	−1.19264	+	1.19264i	−0.216322	+	0.976322i	$0.569406\pi$
$79$	−10.6005	+	10.6005i	−1.19264	+	1.19264i	−0.976322	+	0.216322i	$0.930594\pi$
$80$	4.93369	+	0.558865i	0.551603	+	0.0624830i
$81$	−7.47499	+	5.01244i	−0.830555	+	0.556937i
$82$	−10.2328	−	14.6428i	−1.13002	−	1.61703i
$83$	−0.102611	+	0.153569i	−0.0112631	+	0.0168564i	−0.837058	−	0.547114i	$-0.815727\pi$
$83$	−0.102611	+	0.153569i	−0.0112631	+	0.0168564i	0.825795	+	0.563970i	$0.190727\pi$
$84$	−2.70070	+	3.98213i	−0.294670	+	0.434486i
$85$	0.835314	−	4.19941i	0.0906025	−	0.455490i
$86$	0.231821	+	11.0963i	0.0249979	+	1.19654i
$87$	−2.31401	+	4.89777i	−0.248088	+	0.525096i
$88$	−1.07789	−	2.20116i	−0.114903	−	0.234645i
$89$	0.0845738	+	0.0350316i	0.00896481	+	0.00371335i	0.387161	−	0.922012i	$-0.373456\pi$
$89$	0.0845738	+	0.0350316i	0.00896481	+	0.00371335i	−0.378197	+	0.925725i	$0.623456\pi$
$90$	−4.69738	−	2.38116i	−0.495147	−	0.250996i
$91$	−4.35692	+	2.91120i	−0.456729	+	0.305177i
$92$	5.29676	+	4.87170i	0.552226	+	0.507910i
$93$	5.69728	+	4.22176i	0.590781	+	0.437776i
$94$	8.55486	+	5.46121i	0.882366	+	0.563281i
$95$			6.64880i			0.682153i
$96$	4.24824	+	8.82907i	0.433584	+	0.901113i
$97$			1.22702i			0.124585i	0.998058	+	0.0622925i	$0.0198412\pi$
$97$			1.22702i			0.124585i	−0.998058	+	0.0622925i	$0.980159\pi$
$98$	−3.85864	+	6.04447i	−0.389782	+	0.610584i
$99$	0.256931	+	2.58685i	0.0258226	+	0.259988i
$100$	0.288945	+	6.91227i	0.0288945	+	0.691227i
$101$	−4.60777	+	3.07881i	−0.458490	+	0.306353i	−0.763282	−	0.646066i	$-0.776413\pi$
$101$	−4.60777	+	3.07881i	−0.458490	+	0.306353i	0.304792	+	0.952419i	$0.401413\pi$
$102$	7.89276	−	3.01520i	0.781499	−	0.298549i
$103$	−7.53407	−	3.12071i	−0.742354	−	0.307493i	−0.0207362	−	0.999785i	$-0.506601\pi$
$103$	−7.53407	−	3.12071i	−0.742354	−	0.307493i	−0.721617	+	0.692292i	$0.756601\pi$
$104$	0.668239	+	10.6495i	0.0655262	+	1.04427i
$105$	2.70013	+	1.27571i	0.263505	+	0.124496i
$106$	4.32259	−	0.0903066i	0.419847	−	0.00877136i
$107$	−2.03735	+	10.2424i	−0.196958	+	0.990174i	0.748178	+	0.663498i	$0.230929\pi$
$107$	−2.03735	+	10.2424i	−0.196958	+	0.990174i	−0.945136	+	0.326676i	$0.894071\pi$
$108$	−0.955765	−	10.3483i	−0.0919685	−	0.995762i
$109$	−9.59128	+	14.3544i	−0.918678	+	1.37490i	0.00837399	+	0.999965i	$0.497334\pi$
$109$	−9.59128	+	14.3544i	−0.918678	+	1.37490i	−0.927052	+	0.374933i	$0.877666\pi$
$110$	−1.24688	+	0.871349i	−0.118885	+	0.0830799i
$111$	0.464686	−	9.53894i	0.0441060	−	0.905396i
$112$	−2.54713	−	4.93764i	−0.240681	−	0.466564i
$113$	8.95222	−	8.95222i	0.842154	−	0.842154i	−0.146984	−	0.989139i	$-0.546957\pi$
$113$	8.95222	−	8.95222i	0.842154	−	0.842154i	0.989139	+	0.146984i	$0.0469567\pi$
$114$	−11.1073	+	6.98326i	−1.04030	+	0.654042i
$115$	2.48147	−	3.71378i	0.231398	−	0.346312i
$116$	−3.68921	−	5.05108i	−0.342535	−	0.468981i
$117$	3.27645	−	10.8331i	0.302908	−	1.00152i
$118$	5.44778	+	5.22481i	0.501509	+	0.480983i
$119$	−4.42634	+	1.83345i	−0.405762	+	0.168072i
$120$	5.00853	−	3.44891i	0.457214	−	0.314841i
$121$	−9.46896	−	3.92217i	−0.860815	−	0.356561i
$122$	10.3859	−	4.55839i	0.940291	−	0.412697i
$123$	−21.2254	−	5.30740i	−1.91383	−	0.478552i
$124$	−7.42724	+	3.44661i	−0.666986	+	0.309515i
$125$	10.2987	−	2.04853i	0.921140	−	0.183226i
$126$	0.704790	+	5.85064i	0.0627877	+	0.521216i
$127$			13.8486i			1.22887i	0.788969	+	0.614433i	$0.210615\pi$
$127$			13.8486i			1.22887i	−0.788969	+	0.614433i	$0.789385\pi$
$128$	−11.2995	−	0.566898i	−0.998744	−	0.0501072i
$129$	9.13269	+	10.0680i	0.804089	+	0.886442i
$130$	6.46700	−	1.42741i	0.567193	−	0.125192i
$131$	−1.50131	−	7.54761i	−0.131170	−	0.659438i	−0.989287	−	0.145983i	$-0.953365\pi$
$131$	−1.50131	−	7.54761i	−0.131170	−	0.659438i	0.858117	−	0.513455i	$-0.171635\pi$
$132$	−2.76525	−	1.16782i	−0.240684	−	0.101646i
$133$	6.18593	−	4.13331i	0.536388	−	0.358403i
$134$	1.38389	+	3.15306i	0.119550	+	0.272383i
$135$	−6.25479	+	1.57495i	−0.538327	+	0.135550i
$136$	−1.30035	+	9.66911i	−0.111504	+	0.829120i
$137$	−3.29574	−	7.95661i	−0.281574	−	0.679779i	0.718299	−	0.695735i	$-0.244921\pi$
$137$	−3.29574	−	7.95661i	−0.281574	−	0.679779i	−0.999873	+	0.0159555i	$0.994921\pi$
$138$	8.81044	+	0.244882i	0.749994	+	0.0208457i
$139$	−0.186240	+	0.936293i	−0.0157967	+	0.0794153i	−0.987880	−	0.155223i	$-0.950390\pi$
$139$	−0.186240	+	0.936293i	−0.0157967	+	0.0794153i	0.972083	+	0.234638i	$0.0753905\pi$
$140$	−2.78465	+	2.03385i	−0.235346	+	0.171892i
$141$	12.2951	−	1.82898i	1.03544	−	0.154028i
$142$	3.88078	−	21.8902i	0.325668	−	1.83698i
$143$	−2.31156	−	2.31156i	−0.193302	−	0.193302i
$144$	11.0221	+	4.74472i	0.918512	+	0.395394i
$145$	−2.74508	+	2.74508i	−0.227966	+	0.227966i
$146$	−12.2568	−	17.5392i	−1.01438	−	1.45155i
$147$	1.29227	+	8.68718i	0.106585	+	0.716507i
$148$	9.41706	+	5.73835i	0.774078	+	0.471689i
$149$	9.81523	+	1.95237i	0.804095	+	0.159944i	0.579993	−	0.814621i	$-0.303055\pi$
$149$	9.81523	+	1.95237i	0.804095	+	0.159944i	0.224102	+	0.974566i	$0.428055\pi$
$150$	5.82265	+	6.15558i	0.475417	+	0.502601i
$151$	18.1376	−	7.51283i	1.47602	−	0.611386i	0.507794	−	0.861479i	$-0.330461\pi$
$151$	18.1376	−	7.51283i	1.47602	−	0.611386i	0.968222	+	0.250093i	$0.0804612\pi$
$152$	−0.948763	−	15.1201i	−0.0769549	−	1.22640i
$153$	4.87049	−	9.13011i	0.393756	−	0.738125i
$154$	1.58583	+	0.618388i	0.127789	+	0.0498311i
$155$	2.82336	+	4.22545i	0.226778	+	0.339397i
$156$	9.17690	+	9.30440i	0.734740	+	0.744948i
$157$	8.27040	−	1.64508i	0.660050	−	0.131292i	0.146311	−	0.989239i	$-0.453260\pi$
$157$	8.27040	−	1.64508i	0.660050	−	0.131292i	0.513739	+	0.857947i	$0.328260\pi$
$158$	−17.8701	−	11.4078i	−1.42167	−	0.907558i
$159$	3.92204	−	3.55767i	0.311038	−	0.282141i
$160$	0.732062	+	6.98364i	0.0578746	+	0.552105i
$161$	−4.99787			−0.393887
$162$	−9.20050	−	8.79493i	−0.722860	−	0.690995i
$163$	−2.21012	−	11.1110i	−0.173110	−	0.870284i	−0.965527	−	0.260304i	$-0.916177\pi$
$163$	−2.21012	−	11.1110i	−0.173110	−	0.870284i	0.792416	−	0.609980i	$-0.208823\pi$
$164$	17.1023	−	18.5945i	1.33547	−	1.45199i
$165$	−0.451939	+	1.80740i	−0.0351834	+	0.140706i
$166$	−0.243352	−	0.0948944i	−0.0188878	−	0.00736523i
$167$	−7.58028	+	18.3004i	−0.586580	+	1.41613i	0.300173	+	0.953885i	$0.402956\pi$
$167$	−7.58028	+	18.3004i	−0.586580	+	1.41613i	−0.886753	+	0.462244i	$0.847044\pi$
$168$	−6.32242	−	2.51580i	−0.487786	−	0.194098i
$169$	0.471573	+	1.13848i	0.0362748	+	0.0875752i
$170$	6.05389	−	0.126477i	0.464312	−	0.00970031i
$171$	−4.65189	+	15.3808i	−0.355739	+	1.17620i
$172$	−15.2530	+	3.70240i	−1.16303	+	0.282305i
$173$	12.5006	+	8.35262i	0.950401	+	0.635038i	0.931095	−	0.364776i	$-0.118854\pi$
$173$	12.5006	+	8.35262i	0.950401	+	0.635038i	0.0193058	+	0.999814i	$0.493854\pi$
$174$	−7.46903	−	1.70269i	−0.566225	−	0.129081i
$175$	−3.39743	−	3.39743i	−0.256821	−	0.256821i
$176$	2.71120	−	2.15947i	0.204364	−	0.162776i
$177$	9.23380	+	0.449821i	0.694055	+	0.0338106i
$178$	−0.0225988	+	0.127472i	−0.00169385	+	0.00955445i
$179$	−2.16591	−	1.44721i	−0.161888	−	0.108170i	0.471988	−	0.881605i	$-0.343537\pi$
$179$	−2.16591	−	1.44721i	−0.161888	−	0.108170i	−0.633875	+	0.773435i	$0.718537\pi$
$180$	1.85651	−	7.21276i	0.138376	−	0.537607i
$181$	2.64893	+	0.526904i	0.196893	+	0.0391645i	0.292552	−	0.956250i	$-0.405496\pi$
$181$	2.64893	+	0.526904i	0.196893	+	0.0391645i	−0.0956584	+	0.995414i	$0.530496\pi$
$182$	−5.34832	−	5.12943i	−0.396444	−	0.380218i
$183$	5.93412	−	12.5600i	0.438663	−	0.928462i
$184$	−5.11319	+	8.79964i	−0.376949	+	0.648718i
$185$	2.61923	−	6.32338i	0.192570	−	0.464904i
$186$	−4.09355	+	9.15464i	−0.300154	+	0.671251i
$187$	−1.66056	−	2.48521i	−0.121432	−	0.181736i
$188$	−4.93418	+	13.4787i	−0.359862	+	0.983034i
$189$	5.35368	+	4.84027i	0.389423	+	0.352078i
$190$	−9.18182	+	2.02662i	−0.666119	+	0.147027i
$191$	−7.80476			−0.564733			−0.282366	−	0.959307i	$-0.591119\pi$
$191$	−7.80476			−0.564733			−0.282366	+	0.959307i	$0.591119\pi$
$192$	−10.8978	+	8.55791i	−0.786482	+	0.617614i
$193$	23.9724			1.72557			0.862786	−	0.505570i	$-0.168718\pi$
$193$	23.9724			1.72557			0.862786	+	0.505570i	$0.168718\pi$
$194$	−1.69448	+	0.374009i	−0.121657	+	0.0268523i
$195$	4.82908	−	6.51685i	0.345817	−	0.466682i
$196$	−9.52342	−	3.48627i	−0.680244	−	0.249019i
$197$	−6.56867	−	9.83071i	−0.467998	−	0.700409i	0.520122	−	0.854092i	$-0.325887\pi$
$197$	−6.56867	−	9.83071i	−0.467998	−	0.700409i	−0.988120	+	0.153683i	$0.950887\pi$
$198$	−3.49406	+	1.14332i	−0.248312	+	0.0812519i
$199$	1.63301	−	3.94243i	0.115761	−	0.279472i	−0.855370	−	0.518017i	$-0.826670\pi$
$199$	1.63301	−	3.94243i	0.115761	−	0.279472i	0.971131	+	0.238545i	$0.0766705\pi$
$200$	−9.45759	+	2.50596i	−0.668753	+	0.177198i
$201$	3.81311	+	1.80155i	0.268956	+	0.127071i
$202$	−5.65626	−	5.42476i	−0.397973	−	0.381685i
$203$	4.26049	+	0.847464i	0.299028	+	0.0594803i
$204$	6.56971	+	9.98063i	0.459971	+	0.698784i
$205$	−13.0374	−	8.71130i	−0.910570	−	0.608423i
$206$	2.01316	−	11.3556i	0.140264	−	0.791181i
$207$	8.33878	−	6.85495i	0.579586	−	0.476452i
$208$	−14.5030	+	4.16890i	−1.00560	+	0.289061i
$209$	3.28194	+	3.28194i	0.227016	+	0.227016i
$210$	−0.938690	+	4.11765i	−0.0647758	+	0.284145i
$211$	2.31349	+	1.54582i	0.159267	+	0.106419i	0.632650	−	0.774438i	$-0.281967\pi$
$211$	2.31349	+	1.54582i	0.159267	+	0.106419i	−0.473383	+	0.880857i	$0.656967\pi$
$212$	1.44228	+	5.94186i	0.0990563	+	0.408088i
$213$	−14.0076	−	23.3484i	−0.959783	−	1.59981i
$214$	−14.7656	+	0.308479i	−1.00935	+	0.0210872i
$215$	3.72801	+	9.00020i	0.254248	+	0.613809i
$216$	13.9994	−	4.47415i	0.952536	−	0.304427i
$217$	2.17612	−	5.25361i	0.147724	−	0.356638i
$218$	−22.7465	−	8.86995i	−1.54059	−	0.600749i
$219$	−25.4237	−	6.35720i	−1.71797	−	0.429580i
$220$	−1.58337	−	1.45631i	−0.106751	−	0.0981843i
$221$	2.53867	+	12.7628i	0.170770	+	0.858517i
$222$	13.3147	−	2.26585i	0.893622	−	0.152074i
$223$	10.2102			0.683724			0.341862	−	0.939750i	$-0.388942\pi$
$223$	10.2102			0.683724			0.341862	+	0.939750i	$0.388942\pi$
$224$	6.04237	−	5.02257i	0.403723	−	0.335584i
$225$	10.3283	+	1.00867i	0.688554	+	0.0672449i
$226$	15.0915	+	9.63406i	1.00387	+	0.640848i
$227$	29.1317	−	5.79466i	1.93354	−	0.384605i	0.933907	−	0.357516i	$-0.116376\pi$
$227$	29.1317	−	5.79466i	1.93354	−	0.384605i	0.999633	−	0.0270892i	$-0.00862381\pi$
$228$	−13.0293	−	13.2104i	−0.862889	−	0.874877i
$229$	14.6369	+	21.9057i	0.967233	+	1.44757i	0.892859	+	0.450337i	$0.148696\pi$
$229$	14.6369	+	21.9057i	0.967233	+	1.44757i	0.0743745	+	0.997230i	$0.476304\pi$
$230$	5.88501	+	2.29484i	0.388046	+	0.151317i
$231$	1.96252	−	0.703113i	0.129125	−	0.0462614i
$232$	5.85090	−	6.63433i	0.384130	−	0.435565i
$233$	−4.89334	+	2.02689i	−0.320573	+	0.132786i	−0.537167	−	0.843476i	$-0.680505\pi$
$233$	−4.89334	+	2.02689i	−0.320573	+	0.132786i	0.216593	+	0.976262i	$0.430505\pi$
$234$	15.9589	+	1.22266i	1.04327	+	0.0799276i
$235$	8.73735	+	1.73797i	0.569962	+	0.113372i
$236$	−5.55479	+	9.11582i	−0.361586	+	0.593390i
$237$	−25.6831	+	3.82052i	−1.66830	+	0.248170i
$238$	−3.88114	−	5.55381i	−0.251577	−	0.360000i
$239$	4.52117	−	4.52117i	0.292450	−	0.292450i	−0.545597	−	0.838047i	$-0.683697\pi$
$239$	4.52117	−	4.52117i	0.292450	−	0.292450i	0.838047	+	0.545597i	$0.183697\pi$
$240$	6.28951	+	5.86539i	0.405986	+	0.378609i
$241$	−6.29431	−	6.29431i	−0.405452	−	0.405452i	0.474697	−	0.880149i	$-0.342558\pi$
$241$	−6.29431	−	6.29431i	−0.405452	−	0.405452i	−0.880149	+	0.474697i	$0.842558\pi$
$242$	2.53018	−	14.2719i	0.162646	−	0.917433i
$243$	−15.5712	−	0.732873i	−0.998894	−	0.0470138i
$244$	9.46074	+	12.9532i	0.605662	+	0.829241i
$245$	−1.22797	+	6.17341i	−0.0784520	+	0.394405i
$246$	0.859669	−	30.9294i	0.0548105	−	1.97199i
$247$	−7.73286	−	18.6688i	−0.492030	−	1.18787i
$248$	−7.02359	−	9.20627i	−0.445998	−	0.584598i
$249$	−0.301158	+	0.107896i	−0.0190851	+	0.00683761i
$250$	5.96811	+	13.5978i	0.377456	+	0.859999i
$251$	5.78886	−	3.86800i	0.365390	−	0.244146i	−0.359298	−	0.933223i	$-0.616984\pi$
$251$	5.78886	−	3.86800i	0.365390	−	0.244146i	0.724688	+	0.689077i	$0.241984\pi$
$252$	−7.86476	+	2.75663i	−0.495433	+	0.173652i
$253$	−0.608285	−	3.05806i	−0.0382426	−	0.192258i
$254$	−19.1246	+	4.22121i	−1.19998	+	0.264862i
$255$	5.49291	−	4.98260i	0.343979	−	0.312022i
$256$	−2.66133	−	15.7771i	−0.166333	−	0.986070i
$257$			5.49054i			0.342490i	0.985228	+	0.171245i	$0.0547790\pi$
$257$			5.49054i			0.342490i	−0.985228	+	0.171245i	$0.945221\pi$
$258$	−11.1200	+	15.6809i	−0.692299	+	0.976248i
$259$	−7.51145	+	1.49412i	−0.466739	+	0.0928401i
$260$	3.94242	+	8.49567i	0.244499	+	0.526879i
$261$	−8.27084	+	4.42961i	−0.511952	+	0.274186i
$262$	9.96544	−	4.37387i	0.615667	−	0.270218i
$263$	17.1991	+	7.12410i	1.06054	+	0.439291i	0.843644	−	0.536903i	$-0.180406\pi$
$263$	17.1991	+	7.12410i	1.06054	+	0.439291i	0.216898	+	0.976194i	$0.430406\pi$
$264$	0.769850	−	4.17471i	0.0473810	−	0.256935i
$265$	3.50606	−	1.45226i	0.215375	−	0.0892114i
$266$	7.59353	+	7.28274i	0.465589	+	0.446533i
$267$	0.0815697	+	0.135964i	0.00499199	+	0.00832086i
$268$	−3.93247	+	2.87220i	−0.240214	+	0.175448i
$269$	−11.2049	+	16.7693i	−0.683172	+	1.02244i	0.314155	+	0.949372i	$0.398279\pi$
$269$	−11.2049	+	16.7693i	−0.683172	+	1.02244i	−0.997327	+	0.0730679i	$0.976721\pi$
$270$	−4.08149	−	8.15765i	−0.248392	−	0.496459i
$271$	−4.27399	+	4.27399i	−0.259626	+	0.259626i	−0.824902	−	0.565276i	$-0.808770\pi$
$271$	−4.27399	+	4.27399i	−0.259626	+	0.259626i	0.565276	+	0.824902i	$0.308770\pi$
$272$	−13.7492	+	1.15149i	−0.833665	+	0.0698195i
$273$	−9.06523	−	0.441609i	−0.548653	−	0.0267274i
$274$	9.98330	−	6.97659i	0.603113	−	0.421471i
$275$	1.66529	−	2.49229i	0.100421	−	0.150291i
$276$	2.34734	+	12.2416i	0.141293	+	0.736860i
$277$	−2.06292	+	10.3710i	−0.123949	+	0.623132i	0.868008	+	0.496551i	$0.165400\pi$
$277$	−2.06292	+	10.3710i	−0.123949	+	0.623132i	−0.991956	+	0.126581i	$0.959600\pi$
$278$	−1.34976	+	0.0281990i	−0.0809535	+	0.00169126i
$279$	3.57493	+	11.7502i	0.214026	+	0.703465i
$280$	−3.65749	−	3.22558i	−0.218577	−	0.192766i
$281$	19.5611	+	8.10247i	1.16692	+	0.483353i	0.880172	−	0.474654i	$-0.157427\pi$
$281$	19.5611	+	8.10247i	1.16692	+	0.483353i	0.286744	+	0.958007i	$0.407427\pi$
$282$	6.27346	+	16.4218i	0.373579	+	0.977903i
$283$	−11.3710	+	7.59784i	−0.675934	+	0.451645i	−0.845572	−	0.533862i	$-0.820740\pi$
$283$	−11.3710	+	7.59784i	−0.675934	+	0.451645i	0.169638	+	0.985507i	$0.445740\pi$
$284$	31.4127	−	1.31311i	1.86400	−	0.0779187i
$285$	−6.85630	+	9.25261i	−0.406132	+	0.548077i
$286$	2.48761	−	3.89679i	0.147096	−	0.230422i
$287$			17.5452i			1.03566i
$288$	−3.19268	+	16.6675i	−0.188130	+	0.982144i
$289$		−	5.10216i		−	0.300127i
$290$	−4.62761	−	2.95415i	−0.271743	−	0.173474i
$291$	−1.26532	+	1.70755i	−0.0741741	+	0.100098i
$292$	20.4851	−	22.2725i	1.19880	−	1.30340i
$293$	−23.5910	+	15.7630i	−1.37820	+	0.920883i	−0.999988	−	0.00483624i	$-0.998461\pi$
$293$	−23.5910	+	15.7630i	−1.37820	+	0.920883i	−0.378211	+	0.925719i	$0.623461\pi$
$294$	−11.6029	+	4.43254i	−0.676694	+	0.258511i
$295$	6.12111	+	2.53545i	0.356385	+	0.147619i
$296$	−5.05409	+	14.7538i	−0.293763	+	0.857549i
$297$	−2.31004	+	3.86487i	−0.134042	+	0.224262i
$298$	0.295612	+	14.1497i	0.0171244	+	0.819669i
$299$	−2.64827	+	13.3138i	−0.153153	+	0.769954i
$300$	−6.72589	+	9.91721i	−0.388319	+	0.572571i
$301$	6.05608	−	9.06356i	0.349067	−	0.522415i
$302$	15.9036	+	22.7575i	0.915147	+	1.30955i
$303$	−9.58717	−	0.467035i	−0.550768	−	0.0268305i
$304$	20.5913	−	5.91899i	1.18099	−	0.339477i
$305$	7.03957	−	7.03957i	0.403085	−	0.403085i
$306$	14.0930	+	3.94307i	0.805644	+	0.225410i
$307$	−10.1731	+	15.2251i	−0.580610	+	0.868944i	−0.999231	−	0.0392168i	$-0.987514\pi$
$307$	−10.1731	+	15.2251i	−0.580610	+	0.868944i	0.418621	+	0.908161i	$0.362514\pi$
$308$	−0.370602	+	2.37848i	−0.0211170	+	0.135526i
$309$	−7.26645	−	12.1120i	−0.413374	−	0.689030i
$310$	−4.97465	+	5.18695i	−0.282541	+	0.294599i
$311$	−14.0525	+	5.82073i	−0.796844	+	0.330063i	−0.743692	−	0.668523i	$-0.766927\pi$
$311$	−14.0525	+	5.82073i	−0.796844	+	0.330063i	−0.0531522	+	0.998586i	$0.516927\pi$
$312$	−10.0519	+	15.5091i	−0.569078	+	0.878032i
$313$	−17.5705	−	7.27793i	−0.993142	−	0.411373i	−0.173864	−	0.984770i	$-0.555625\pi$
$313$	−17.5705	−	7.27793i	−0.993142	−	0.411373i	−0.819278	+	0.573397i	$0.805625\pi$
$314$	4.79272	+	10.9198i	0.270469	+	0.616238i
$315$	2.44203	+	4.55969i	0.137593	+	0.256910i
$316$	10.3069	−	28.1554i	0.579810	−	1.58386i
$317$	16.0644	−	3.19541i	0.902267	−	0.179472i	0.277906	−	0.960608i	$-0.410360\pi$
$317$	16.0644	−	3.19541i	0.902267	−	0.179472i	0.624361	+	0.781136i	$0.285360\pi$
$318$	6.10853	+	4.33182i	0.342549	+	0.242916i
$319$			2.71002i			0.151732i
$320$	−9.42109	+	3.13965i	−0.526655	+	0.175512i
$321$	−13.3973	+	12.1527i	−0.747765	+	0.678295i
$322$	−1.52340	−	6.90193i	−0.0848960	−	0.384630i
$323$	−3.60440	−	18.1205i	−0.200554	−	1.00825i
$324$	9.34116	−	15.3864i	0.518953	−	0.854803i
$325$	−10.8506	+	7.25013i	−0.601882	+	0.402165i
$326$	14.6704	−	6.43889i	0.812518	−	0.356617i
$327$	−28.1498	+	10.0852i	−1.55669	+	0.557713i
$328$	30.8915	+	17.9501i	1.70570	+	0.991127i
$329$	−3.81470	−	9.20951i	−0.210311	−	0.507737i
$330$	−2.63372	−	0.0732031i	−0.144982	−	0.00402970i
$331$	−0.488681	+	2.45676i	−0.0268603	+	0.135036i	−0.991889	−	0.127109i	$-0.959430\pi$
$331$	−0.488681	+	2.45676i	−0.0268603	+	0.135036i	0.965028	+	0.262146i	$0.0844300\pi$
$332$	0.0568705	−	0.364987i	0.00312117	−	0.0200313i
$333$	10.4833	−	12.7954i	0.574482	−	0.701183i
$334$	−27.5830	−	4.89001i	−1.50927	−	0.267570i
$335$	2.13716	+	2.13716i	0.116765	+	0.116765i
$336$	1.54711	−	9.49795i	0.0844017	−	0.518156i
$337$	10.2641	−	10.2641i	0.559119	−	0.559119i	−0.369938	−	0.929057i	$-0.620621\pi$
$337$	10.2641	−	10.2641i	0.559119	−	0.559119i	0.929057	+	0.369938i	$0.120621\pi$
$338$	−1.42847	+	0.998250i	−0.0776984	+	0.0542976i
$339$	21.6897	−	3.22648i	1.17802	−	0.175238i
$340$	2.01995	+	8.32171i	0.109547	+	0.451308i
$341$	3.47939	+	0.692093i	0.188419	+	0.0374790i
$342$	−22.6584	−	1.73592i	−1.22522	−	0.0938680i
$343$	15.4898	−	6.41607i	0.836369	−	0.346435i
$344$	−9.76220	−	19.9355i	−0.526343	−	1.07485i
$345$	7.28294	−	2.60926i	0.392100	−	0.140478i
$346$	−7.72444	+	19.8089i	−0.415269	+	1.06494i
$347$	−7.21078	−	10.7917i	−0.387095	−	0.579329i	0.585834	−	0.810431i	$-0.300767\pi$
$347$	−7.21078	−	10.7917i	−0.387095	−	0.579329i	−0.972930	+	0.231102i	$0.925767\pi$
$348$	0.0747376	−	10.8335i	0.00400635	−	0.580738i
$349$	9.13091	−	1.81625i	0.488766	−	0.0972217i	0.0554462	−	0.998462i	$-0.482342\pi$
$349$	9.13091	−	1.81625i	0.488766	−	0.0972217i	0.433320	+	0.901240i	$0.357342\pi$
$350$	3.65619	−	5.72733i	0.195431	−	0.306139i
$351$	15.7307	−	11.6968i	0.839644	−	0.624330i
$352$	3.80858	+	3.08586i	0.202998	+	0.164477i
$353$	2.86328			0.152397			0.0761984	−	0.997093i	$-0.475722\pi$
$353$	2.86328			0.152397			0.0761984	+	0.997093i	$0.475722\pi$
$354$	2.19337	+	12.8888i	0.116576	+	0.685030i
$355$	−3.80689	−	19.1385i	−0.202049	−	1.01577i
$356$	−0.182924	+	0.00764658i	−0.00969497	+	0.000405268i
$357$	−8.05046	−	2.01302i	−0.426075	−	0.106540i
$358$	1.33837	−	3.43219i	0.0707353	−	0.181397i
$359$	9.77322	−	23.5946i	0.515811	−	1.24528i	−0.424644	−	0.905360i	$-0.639601\pi$
$359$	9.77322	−	23.5946i	0.515811	−	1.24528i	0.940455	−	0.339917i	$-0.110399\pi$
$360$	10.5265	+	0.365269i	0.554796	+	0.0192514i
$361$	3.70810	+	8.95215i	0.195163	+	0.471166i
$362$	0.0797797	+	3.81871i	0.00419313	+	0.200707i
$363$	−9.13262	−	15.2227i	−0.479338	−	0.798982i
$364$	5.45338	−	8.94940i	0.285835	−	0.469076i
$365$	−15.6162	−	10.4344i	−0.817387	−	0.546161i
$366$	19.1538	+	4.36644i	1.00119	+	0.228238i
$367$	5.93396	+	5.93396i	0.309750	+	0.309750i	0.844813	−	0.535062i	$-0.179712\pi$
$367$	5.93396	+	5.93396i	0.309750	+	0.309750i	−0.535062	+	0.844813i	$0.679712\pi$
$368$	−13.7106	−	4.37896i	−0.714716	−	0.228269i
$369$	−24.0646	−	29.2737i	−1.25275	−	1.52393i
$370$	9.53080	+	1.68966i	0.495483	+	0.0878411i
$371$	−3.53074	−	2.35916i	−0.183307	−	0.122482i
$372$	−13.8901	−	2.86266i	−0.720167	−	0.148422i
$373$	−18.7343	−	3.72649i	−0.970026	−	0.192950i	−0.315447	−	0.948943i	$-0.602154\pi$
$373$	−18.7343	−	3.72649i	−0.970026	−	0.192950i	−0.654580	+	0.755993i	$0.727154\pi$
$374$	2.92585	−	3.05071i	0.151292	−	0.157748i
$375$	16.4443	+	7.76930i	0.849180	+	0.401205i
$376$	−20.1177	−	2.70554i	−1.03749	−	0.139527i
$377$	4.51509	−	10.9004i	0.232539	−	0.561399i
$378$	−5.05243	+	8.86866i	−0.259869	+	0.456154i
$379$	12.9309	+	19.3525i	0.664216	+	0.994070i	0.998665	+	0.0516562i	$0.0164500\pi$
$379$	12.9309	+	19.3525i	0.664216	+	0.994070i	−0.334448	+	0.942414i	$0.608550\pi$
$380$	−5.59743	−	12.0621i	−0.287142	−	0.618774i
$381$	−14.2808	+	19.2720i	−0.731629	+	0.987336i
$382$	−2.37897	−	10.7782i	−0.121719	−	0.551459i
$383$	−16.6268			−0.849589			−0.424794	−	0.905290i	$-0.639654\pi$
$383$	−16.6268			−0.849589			−0.424794	+	0.905290i	$0.639654\pi$
$384$	−15.1400	−	12.4411i	−0.772611	−	0.634880i
$385$	1.49402			0.0761425
$386$	7.30704	+	33.1053i	0.371919	+	1.68501i
$387$	2.32698	+	23.4286i	0.118287	+	1.19094i
$388$	−1.03299	−	2.22604i	−0.0524423	−	0.113010i
$389$	4.49549	+	6.72798i	0.227931	+	0.341122i	0.927753	−	0.373195i	$-0.121738\pi$
$389$	4.49549	+	6.72798i	0.227931	+	0.341122i	−0.699823	+	0.714317i	$0.746738\pi$
$390$	10.4716	+	4.68242i	0.530248	+	0.237104i
$391$	−4.74967	+	11.4667i	−0.240201	+	0.579896i
$392$	1.91161	−	14.2142i	0.0965508	−	0.717928i
$393$	5.69391	−	12.0516i	0.287220	−	0.607922i
$394$	11.5738	−	12.0677i	0.583078	−	0.607961i
$395$	−18.2513	−	3.63041i	−0.918322	−	0.182666i
$396$	−2.64392	−	4.47672i	−0.132862	−	0.224963i
$397$	−0.372171	−	0.248676i	−0.0186787	−	0.0124807i	0.546196	−	0.837658i	$-0.316075\pi$
$397$	−0.372171	−	0.248676i	−0.0186787	−	0.0124807i	−0.564875	+	0.825177i	$0.691075\pi$
$398$	5.94216	+	1.05345i	0.297853	+	0.0528046i
$399$	12.8708	+	0.626995i	0.644345	+	0.0313890i
$400$	−6.34344	−	12.2968i	−0.317172	−	0.614842i
$401$	−11.7623	−	11.7623i	−0.587382	−	0.587382i	0.349539	−	0.936922i	$-0.386338\pi$
$401$	−11.7623	−	11.7623i	−0.587382	−	0.587382i	−0.936922	+	0.349539i	$0.886338\pi$
$402$	−1.32562	+	5.81494i	−0.0661157	+	0.290023i
$403$	−12.8419	−	8.58071i	−0.639702	−	0.427435i
$404$	5.76736	−	9.46467i	0.286937	−	0.470885i
$405$	−10.3284	−	4.25827i	−0.513222	−	0.211595i
$406$	0.128316	+	6.14194i	0.00636823	+	0.304819i
$407$	−1.82842	−	4.41419i	−0.0906314	−	0.218803i
$408$	−11.7805	+	12.1148i	−0.583221	+	0.599772i
$409$	4.00326	−	9.66472i	0.197948	−	0.477890i	−0.793471	−	0.608608i	$-0.791728\pi$
$409$	4.00326	−	9.66472i	0.197948	−	0.477890i	0.991420	+	0.130718i	$0.0417283\pi$
$410$	8.05615	−	20.6596i	0.397865	−	1.02030i
$411$	3.61852	−	14.4712i	0.178488	−	0.713810i
$412$	16.2954	−	0.681178i	0.802817	−	0.0335592i
$413$	−1.44633	−	7.27117i	−0.0711690	−	0.357791i
$414$	12.0083	+	9.42619i	0.590174	+	0.463272i
$415$	−0.229265			−0.0112542
$416$	−10.1778	−	18.7575i	−0.499008	−	0.919664i
$417$	−1.22469	+	1.11091i	−0.0599733	+	0.0544016i
$418$	−3.53190	+	5.53264i	−0.172751	+	0.270610i
$419$	0.963307	−	0.191614i	0.0470606	−	0.00936094i	−0.171504	−	0.985183i	$-0.554863\pi$
$419$	0.963307	−	0.191614i	0.0470606	−	0.00936094i	0.218564	+	0.975823i	$0.429863\pi$
$420$	−5.97250	−	0.0412026i	−0.291428	−	0.00201048i
$421$	19.6429	+	29.3977i	0.957337	+	1.43276i	0.900740	+	0.434359i	$0.143025\pi$
$421$	19.6429	+	29.3977i	0.957337	+	1.43276i	0.0565973	+	0.998397i	$0.481975\pi$
$422$	−1.42957	+	3.66605i	−0.0695903	+	0.178461i
$423$	18.9962	+	10.1336i	0.923628	+	0.492713i
$424$	−7.76593	+	3.80289i	−0.377147	+	0.184685i
$425$	−11.0235	+	4.56608i	−0.534718	+	0.221487i
$426$	27.9739	−	26.4610i	1.35534	−	1.28204i
$427$	−10.9257	−	2.17326i	−0.528734	−	0.105172i
$428$	−4.92670	−	20.2968i	−0.238141	−	0.981084i
$429$	−0.833110	−	5.60050i	−0.0402229	−	0.270395i
$430$	−11.2927	+	7.89164i	−0.544583	+	0.380569i
$431$	13.9798	−	13.9798i	0.673383	−	0.673383i	−0.285112	−	0.958494i	$-0.592031\pi$
$431$	13.9798	−	13.9798i	0.673383	−	0.673383i	0.958494	+	0.285112i	$0.0920307\pi$
$432$	10.4458	+	17.9690i	0.502575	+	0.864533i
$433$	−7.71268	−	7.71268i	−0.370648	−	0.370648i	0.497065	−	0.867713i	$-0.334411\pi$
$433$	−7.71268	−	7.71268i	−0.370648	−	0.370648i	−0.867713	+	0.497065i	$0.834411\pi$
$434$	7.91841	+	1.40381i	0.380096	+	0.0673848i
$435$	−6.65086	+	0.989357i	−0.318884	+	0.0474361i
$436$	5.31579	−	34.1160i	0.254580	−	1.63386i
$437$	3.76001	−	18.9028i	0.179865	−	0.904245i
$438$	1.02971	−	37.0472i	0.0492015	−	1.77019i
$439$	−8.41089	−	20.3057i	−0.401430	−	0.969138i	−0.987319	−	0.158747i	$-0.949255\pi$
$439$	−8.41089	−	20.3057i	−0.401430	−	0.969138i	0.585889	−	0.810391i	$-0.300745\pi$
$440$	1.52850	−	2.63049i	0.0728682	−	0.125404i
$441$	−7.15995	+	13.4219i	−0.340950	+	0.639137i
$442$	−16.8513	+	7.39607i	−0.801532	+	0.351795i
$443$	28.1957	−	18.8398i	1.33962	−	0.895105i	0.340636	−	0.940195i	$-0.389358\pi$
$443$	28.1957	−	18.8398i	1.33962	−	0.895105i	0.998983	+	0.0450905i	$0.0143576\pi$
$444$	7.18753	+	17.6966i	0.341105	+	0.839842i
$445$	0.0221685	+	0.111449i	0.00105089	+	0.00528317i
$446$	3.11217	+	14.1000i	0.147366	+	0.667654i
$447$	11.6458	+	12.8385i	0.550826	+	0.607241i
$448$	8.77781	+	6.81343i	0.414713	+	0.321904i
$449$		−	10.2291i		−	0.482740i	−0.970433	−	0.241370i	$-0.922403\pi$
$449$		−	10.2291i		−	0.482740i	0.970433	−	0.241370i	$-0.0775968\pi$
$450$	1.75523	+	14.5706i	0.0827422	+	0.686864i
$451$	−10.7354	+	2.13541i	−0.505512	+	0.100553i
$452$	−8.70433	+	23.7776i	−0.409417	+	1.11840i
$453$	32.9879	+	8.24863i	1.54991	+	0.387555i
$454$	16.8819	+	38.4639i	0.792308	+	1.80520i
$455$	−6.00936	−	2.48916i	−0.281723	−	0.116694i
$456$	14.2717	−	22.0198i	0.668333	−	1.03117i
$457$	−11.0157	+	4.56286i	−0.515294	+	0.213442i	−0.625148	−	0.780506i	$-0.714962\pi$
$457$	−11.0157	+	4.56286i	−0.515294	+	0.213442i	0.109854	+	0.993948i	$0.464962\pi$
$458$	−25.7897	+	26.8903i	−1.20507	+	1.25650i
$459$	16.1929	−	7.68314i	0.755821	−	0.358618i
$460$	−1.37531	+	8.82654i	−0.0641240	+	0.411540i
$461$	−11.2634	+	16.8569i	−0.524588	+	0.785102i	−0.995264	−	0.0972041i	$-0.969010\pi$
$461$	−11.2634	+	16.8569i	−0.524588	+	0.785102i	0.470676	+	0.882306i	$0.344010\pi$
$462$	1.56918	+	2.49588i	0.0730048	+	0.116119i
$463$	7.07284	−	7.07284i	0.328703	−	0.328703i	−0.523390	−	0.852093i	$-0.675333\pi$
$463$	7.07284	−	7.07284i	0.328703	−	0.328703i	0.852093	+	0.523390i	$0.175333\pi$
$464$	10.9453	+	6.05773i	0.508121	+	0.281223i
$465$	−0.428284	+	8.79170i	−0.0198612	+	0.407705i
$466$	−4.29062	−	6.13976i	−0.198759	−	0.284419i
$467$	−21.8196	+	32.6554i	−1.00969	+	1.51111i	−0.157749	+	0.987479i	$0.550424\pi$
$467$	−21.8196	+	32.6554i	−1.00969	+	1.51111i	−0.851944	+	0.523633i	$0.824576\pi$
$468$	3.17598	+	22.4115i	0.146810	+	1.03597i
$469$	0.659785	−	3.31696i	0.0304660	−	0.153163i
$470$	0.263149	+	12.5958i	0.0121382	+	0.581001i
$471$	13.2057	+	6.23918i	0.608486	+	0.287486i
$472$	−14.2819	−	4.89242i	−0.657377	−	0.225192i
$473$	6.28282	+	2.60243i	0.288884	+	0.119660i
$474$	−13.1045	−	34.3032i	−0.601911	−	1.57560i
$475$	15.4056	−	10.2937i	0.706858	−	0.472308i
$476$	6.48666	−	7.05262i	0.297315	−	0.323256i
$477$	9.12669	−	0.906480i	0.417882	−	0.0415049i
$478$	7.62172	+	4.86552i	0.348609	+	0.222544i
$479$			31.8358i			1.45461i	0.686313	+	0.727306i	$0.259228\pi$
$479$			31.8358i			1.45461i	−0.686313	+	0.727306i	$0.740772\pi$
$480$	−6.18284	+	10.4735i	−0.282207	+	0.478047i
$481$			20.8013i			0.948459i
$482$	6.77371	−	10.6109i	0.308534	−	0.483311i
$483$	−6.95514	−	5.15385i	−0.316470	−	0.234508i
$484$	20.4804	−	0.856118i	0.930926	−	0.0389144i
$485$	−1.26642	+	0.846196i	−0.0575052	+	0.0384238i
$486$	−3.73419	−	21.7268i	−0.169387	−	0.985550i
$487$	10.4902	+	4.34517i	0.475355	+	0.196898i	0.607480	−	0.794335i	$-0.292180\pi$
$487$	10.4902	+	4.34517i	0.475355	+	0.196898i	−0.132126	+	0.991233i	$0.542180\pi$
$488$	−15.0042	+	17.0133i	−0.679210	+	0.770156i
$489$	8.38216	−	17.7415i	0.379054	−	0.802297i
$490$	−8.89962	+	0.185929i	−0.402044	+	0.00839942i
$491$	6.84313	−	34.4027i	0.308826	−	1.55257i	−0.445019	−	0.895521i	$-0.646803\pi$
$491$	6.84313	−	34.4027i	0.308826	−	1.55257i	0.753845	−	0.657052i	$-0.228197\pi$
$492$	42.9748	−	8.24044i	1.93745	−	0.371508i
$493$	5.99326	−	8.96954i	0.269923	−	0.403968i
$494$	23.4240	−	16.3693i	1.05390	−	0.736491i
$495$	−2.49273	+	2.04916i	−0.112040	+	0.0921031i
$496$	10.5728	−	12.5056i	0.474731	−	0.561516i
$497$	−15.4396	+	15.4396i	−0.692559	+	0.692559i
$498$	−0.240797	−	0.383004i	−0.0107904	−	0.0171628i
$499$	−14.5370	+	21.7561i	−0.650764	+	0.973937i	0.348564	+	0.937285i	$0.386669\pi$
$499$	−14.5370	+	21.7561i	−0.650764	+	0.973937i	−0.999328	+	0.0366520i	$0.988331\pi$
$500$	−16.9590	+	12.3866i	−0.758431	+	0.553944i
$501$	−29.4204	+	17.6504i	−1.31441	+	0.788561i
$502$	7.10611	+	6.81527i	0.317161	+	0.304180i
$503$	23.3676	−	9.67919i	1.04191	−	0.431574i	0.204914	−	0.978780i	$-0.434309\pi$
$503$	23.3676	−	9.67919i	1.04191	−	0.431574i	0.836998	+	0.547206i	$0.184309\pi$
$504$	−6.20410	−	10.0208i	−0.276353	−	0.446361i
$505$	−6.35535	−	2.63247i	−0.282810	−	0.117144i
$506$	4.03769	−	1.77215i	0.179497	−	0.0787819i
$507$	−0.517758	+	2.07062i	−0.0229944	+	0.0919594i
$508$	−11.6588	−	25.1239i	−0.517274	−	1.11469i
$509$	−21.7774	+	4.33180i	−0.965267	+	0.192003i	−0.652468	−	0.757816i	$-0.726266\pi$
$509$	−21.7774	+	4.33180i	−0.965267	+	0.192003i	−0.312798	+	0.949820i	$0.601266\pi$
$510$	8.55514	+	6.06682i	0.378828	+	0.268643i
$511$			21.0157i			0.929679i
$512$	20.9766	−	8.48427i	0.927043	−	0.374955i
$513$	−22.3344	+	16.6071i	−0.986090	+	0.733221i
$514$	−7.58229	+	1.67357i	−0.334441	+	0.0738182i
$515$	−1.97483	−	9.92814i	−0.0870214	−	0.437486i
$516$	−25.0444	−	10.5767i	−1.10252	−	0.465614i
$517$	5.17076	−	3.45499i	0.227410	−	0.151950i
$518$	−4.35291	−	9.91769i	−0.191256	−	0.435758i
$519$	8.78276	+	24.5144i	0.385520	+	1.07606i
$520$	−10.5306	+	8.03395i	−0.461798	+	0.352312i
$521$	8.35307	+	20.1661i	0.365955	+	0.883492i	0.994404	+	0.105642i	$0.0336898\pi$
$521$	8.35307	+	20.1661i	0.365955	+	0.883492i	−0.628450	+	0.777850i	$0.716310\pi$
$522$	−8.63822	−	10.0716i	−0.378084	−	0.440823i
$523$	1.71087	−	8.60113i	0.0748111	−	0.376101i	−0.925183	−	0.379521i	$-0.876089\pi$
$523$	1.71087	−	8.60113i	0.0748111	−	0.376101i	0.999994	+	0.00342028i	$0.00108871\pi$
$524$	9.07777	+	12.4288i	0.396564	+	0.542955i
$525$	−1.22447	−	8.23139i	−0.0534403	−	0.359247i
$526$	−4.59573	+	25.9230i	−0.200384	+	1.13030i
$527$	−9.98541	−	9.98541i	−0.434971	−	0.434971i
$528$	5.99982	−	0.209352i	0.261109	−	0.00911088i
$529$	7.10834	−	7.10834i	0.309058	−	0.309058i
$530$	3.07421	+	4.39911i	0.133535	+	0.191085i
$531$	12.3861	+	10.1480i	0.537510	+	0.440384i
$532$	−7.74269	+	12.7063i	−0.335688	+	0.550889i
$533$	46.7385	+	9.29687i	2.02447	+	0.402692i
$534$	−0.162900	+	0.154089i	−0.00704935	+	0.00666808i
$535$	−11.9764	+	4.96077i	−0.517783	+	0.214473i
$536$	−5.16509	−	4.55516i	−0.223098	−	0.196753i
$537$	−1.52174	−	4.24748i	−0.0656681	−	0.183292i
$538$	−26.5733	−	10.3622i	−1.14566	−	0.446745i
$539$	2.44114	+	3.65342i	0.105147	+	0.157364i
$540$	10.0214	−	8.12297i	0.431254	−	0.349557i
$541$	−10.5295	+	2.09444i	−0.452697	+	0.0900470i	−0.416172	−	0.909286i	$-0.636629\pi$
$541$	−10.5295	+	2.09444i	−0.452697	+	0.0900470i	−0.0365244	+	0.999333i	$0.511629\pi$
$542$	−7.20502	−	4.59951i	−0.309482	−	0.197566i
$543$	3.14295	+	3.46485i	0.134877	+	0.148691i
$544$	−5.78107	−	18.6363i	−0.247861	−	0.799023i
$545$	−21.4298			−0.917950
$546$	−2.15333	−	12.6535i	−0.0921539	−	0.541518i
$547$	−6.11704	−	30.7524i	−0.261546	−	1.31488i	−0.858587	−	0.512668i	$-0.828657\pi$
$547$	−6.11704	−	30.7524i	−0.261546	−	1.31488i	0.597041	−	0.802211i	$-0.296343\pi$
$548$	12.6775	+	11.6601i	0.541556	+	0.498097i
$549$	21.2100	−	11.3594i	0.905222	−	0.484809i
$550$	3.94938	+	1.54005i	0.168402	+	0.0656680i
$551$	−6.41051	+	15.4763i	−0.273097	+	0.659315i
$552$	−16.1899	+	6.97299i	−0.689087	+	0.296790i
$553$	7.96846	+	19.2376i	0.338854	+	0.818065i
$554$	−14.9509	+	0.312351i	−0.635201	+	0.0132705i
$555$	10.1657	−	6.09877i	0.431510	−	0.258879i
$556$	−0.450365	−	1.85539i	−0.0190997	−	0.0786863i
$557$	−28.5719	−	19.0912i	−1.21063	−	0.808918i	−0.224434	−	0.974489i	$-0.572053\pi$
$557$	−28.5719	−	19.0912i	−1.21063	−	0.808918i	−0.986198	+	0.165571i	$0.947053\pi$
$558$	−15.1370	+	8.51847i	−0.640801	+	0.360616i
$559$	−20.9353	−	20.9353i	−0.885469	−	0.885469i
$560$	3.33961	−	6.03409i	0.141124	−	0.254987i
$561$	0.251896	−	5.17085i	0.0106351	−	0.218313i
$562$	−5.22687	+	29.4831i	−0.220482	+	1.24367i
$563$	13.6038	+	9.08980i	0.573334	+	0.383089i	0.808173	−	0.588945i	$-0.200456\pi$
$563$	13.6038	+	9.08980i	0.573334	+	0.383089i	−0.234840	+	0.972034i	$0.575456\pi$
$564$	−20.7658	+	13.6690i	−0.874400	+	0.575570i
$565$	15.4135	+	3.06593i	0.648449	+	0.128984i
$566$	−13.9584	−	13.3871i	−0.586716	−	0.562703i
$567$	2.45895	+	12.2566i	0.103266	+	0.514728i
$568$	11.3883	+	42.9799i	0.477842	+	1.80340i
$569$	6.85299	−	16.5446i	0.287292	−	0.693585i	−0.712676	−	0.701493i	$-0.752517\pi$
$569$	6.85299	−	16.5446i	0.287292	−	0.693585i	0.999969	+	0.00790788i	$0.00251718\pi$
$570$	−14.8675	−	6.64809i	−0.622731	−	0.278458i
$571$	−6.56459	−	9.82460i	−0.274719	−	0.411147i	0.668296	−	0.743895i	$-0.267024\pi$
$571$	−6.56459	−	9.82460i	−0.274719	−	0.411147i	−0.943016	+	0.332749i	$0.892024\pi$
$572$	6.13961	+	2.24755i	0.256710	+	0.0939747i
$573$	−10.8613	−	8.04834i	−0.453736	−	0.336224i
$574$	−24.2295	+	5.34798i	−1.01132	+	0.223220i
$575$	−12.4468			−0.519069
$576$	−23.9906	+	0.671439i	−0.999609	+	0.0279766i
$577$	26.1244			1.08757			0.543786	−	0.839224i	$-0.316990\pi$
$577$	26.1244			1.08757			0.543786	+	0.839224i	$0.316990\pi$
$578$	7.04596	−	1.55519i	0.293073	−	0.0646875i
$579$	33.3605	+	24.7206i	1.38641	+	1.02735i
$580$	2.66907	−	7.29107i	0.110827	−	0.302745i
$581$	0.142525	+	0.213304i	0.00591294	+	0.00884934i
$582$	−2.74376	−	1.22689i	−0.113733	−	0.0508562i
$583$	1.01378	−	2.44749i	0.0419866	−	0.101365i
$584$	37.0018	+	21.5006i	1.53115	+	0.889700i
$585$	13.4405	−	4.08920i	0.555696	−	0.169068i
$586$	−28.9591	−	27.7738i	−1.19629	−	1.14733i
$587$	26.5723	+	5.28555i	1.09675	+	0.218158i	0.710124	−	0.704077i	$-0.248639\pi$
$587$	26.5723	+	5.28555i	1.09675	+	0.218158i	0.386631	+	0.922235i	$0.373639\pi$
$588$	−9.65791	−	14.6722i	−0.398286	−	0.605071i
$589$	18.2329	+	12.1829i	0.751275	+	0.501986i
$590$	−1.63561	+	9.22592i	−0.0673369	+	0.379825i
$591$	0.996423	−	20.4543i	0.0409874	−	0.841377i
$592$	−21.9152	−	2.48245i	−0.900709	−	0.102028i
$593$	25.1112	+	25.1112i	1.03119	+	1.03119i	0.999498	+	0.0316958i	$0.0100908\pi$
$593$	25.1112	+	25.1112i	1.03119	+	1.03119i	0.0316958	+	0.999498i	$0.489909\pi$
$594$	−6.04141	−	2.01205i	−0.247882	−	0.0825553i
$595$	−4.94488	−	3.30406i	−0.202720	−	0.135453i
$596$	−19.4503	+	4.72121i	−0.796713	+	0.193388i
$597$	6.33800	−	3.80240i	0.259397	−	0.155622i
$598$	−19.1932	+	0.400980i	−0.784867	+	0.0163973i
$599$	−7.40744	−	17.8832i	−0.302660	−	0.730686i	−0.999904	−	0.0138520i	$-0.995591\pi$
$599$	−7.40744	−	17.8832i	−0.302660	−	0.730686i	0.697244	−	0.716834i	$-0.254409\pi$
$600$	−15.7455	−	6.26541i	−0.642809	−	0.255784i
$601$	−9.77655	+	23.6027i	−0.398794	+	0.962773i	0.589159	+	0.808017i	$0.299459\pi$
$601$	−9.77655	+	23.6027i	−0.398794	+	0.962773i	−0.987953	+	0.154756i	$0.950541\pi$
$602$	14.3625	+	5.60062i	0.585372	+	0.228264i
$603$	3.44863	+	6.43919i	0.140439	+	0.262224i
$604$	−26.5800	+	28.8992i	−1.08153	+	1.17589i
$605$	−2.48201	−	12.4779i	−0.100908	−	0.507298i
$606$	−2.27731	−	13.3820i	−0.0925093	−	0.543606i
$607$	−38.4494			−1.56061			−0.780307	−	0.625397i	$-0.784937\pi$
$607$	−38.4494			−1.56061			−0.780307	+	0.625397i	$0.784937\pi$
$608$	14.4504	+	26.6319i	0.586042	+	1.08007i
$609$	5.05507	+	5.57280i	0.204842	+	0.225821i
$610$	11.8672	+	7.57573i	0.480489	+	0.306732i
$611$	−26.5544	+	5.28200i	−1.07428	+	0.213687i
$612$	−1.14958	+	20.6640i	−0.0464690	+	0.835292i
$613$	−1.25845	−	1.88341i	−0.0508284	−	0.0760701i	0.805185	−	0.593024i	$-0.202066\pi$
$613$	−1.25845	−	1.88341i	−0.0508284	−	0.0760701i	−0.856013	+	0.516954i	$0.827066\pi$
$614$	−24.1264	−	9.40802i	−0.973662	−	0.379677i
$615$	−9.15991	−	25.5671i	−0.369363	−	1.03096i
$616$	−3.39758	+	0.213193i	−0.136892	+	0.00858978i
$617$	−15.0271	+	6.22442i	−0.604968	+	0.250586i	−0.664075	−	0.747666i	$-0.731175\pi$
$617$	−15.0271	+	6.22442i	−0.604968	+	0.250586i	0.0591076	+	0.998252i	$0.481175\pi$
$618$	14.5115	−	13.7267i	0.583739	−	0.552167i
$619$	25.6666	+	5.10540i	1.03163	+	0.205203i	0.681744	−	0.731590i	$-0.261222\pi$
$619$	25.6666	+	5.10540i	1.03163	+	0.205203i	0.349882	+	0.936794i	$0.386222\pi$
$620$	−8.67937	−	5.28883i	−0.348572	−	0.212405i
$621$	18.6733	−	0.940456i	0.749334	−	0.0377392i
$622$	−12.3216	−	17.6319i	−0.494052	−	0.706975i
$623$	0.0899086	−	0.0899086i	0.00360211	−	0.00360211i
$624$	−24.4817	−	9.15409i	−0.980051	−	0.366457i
$625$	−3.01332	−	3.01332i	−0.120533	−	0.120533i
$626$	4.69497	−	26.4828i	0.187649	−	1.05846i
$627$	1.18285	+	7.95158i	0.0472384	+	0.317555i
$628$	−13.6190	+	9.94709i	−0.543459	+	0.396932i
$629$	−3.71043	+	18.6536i	−0.147944	+	0.743767i
$630$	−5.55246	+	4.76222i	−0.221215	+	0.189732i
$631$	8.90751	+	21.5046i	0.354602	+	0.856086i	0.996040	+	0.0889104i	$0.0283385\pi$
$631$	8.90751	+	21.5046i	0.354602	+	0.856086i	−0.641437	+	0.767176i	$0.721662\pi$
$632$	42.0235	+	5.65154i	1.67160	+	0.224806i
$633$	1.62543	+	4.53689i	0.0646051	+	0.180325i
$634$	9.30938	+	21.2105i	0.369723	+	0.842378i
$635$	−14.2933	+	9.55049i	−0.567213	+	0.379000i
$636$	−4.12019	+	9.75610i	−0.163376	+	0.386855i
$637$	−3.73202	−	18.7621i	−0.147868	−	0.743383i
$638$	−3.74246	+	0.826042i	−0.148166	+	0.0327033i
$639$	4.58391	−	46.9369i	0.181336	−	1.85680i
$640$	−7.20742	−	12.0533i	−0.284898	−	0.476448i
$641$		−	13.1460i		−	0.519236i	−0.965711	−	0.259618i	$-0.916403\pi$
$641$		−	13.1460i		−	0.519236i	0.965711	−	0.259618i	$-0.0835966\pi$
$642$	−20.8661	−	14.7971i	−0.823521	−	0.583994i
$643$	−13.3247	+	2.65045i	−0.525475	+	0.104523i	−0.450697	−	0.892677i	$-0.648825\pi$
$643$	−13.3247	+	2.65045i	−0.525475	+	0.104523i	−0.0747773	+	0.997200i	$0.523825\pi$
$644$	9.06704	−	4.20756i	0.357292	−	0.165801i
$645$	−4.09312	+	16.3692i	−0.161167	+	0.644537i
$646$	23.9253	−	10.5009i	0.941330	−	0.413153i
$647$	15.8670	+	6.57232i	0.623796	+	0.258385i	0.672114	−	0.740447i	$-0.265386\pi$
$647$	15.8670	+	6.57232i	0.623796	+	0.258385i	−0.0483187	+	0.998832i	$0.515386\pi$
$648$	24.0956	+	8.20995i	0.946564	+	0.322517i
$649$	4.27299	−	1.76993i	0.167730	−	0.0694759i
$650$	−13.3196	−	12.7745i	−0.522438	−	0.501056i
$651$	8.44590	−	5.06700i	0.331021	−	0.198591i
$652$	13.3636	+	18.2968i	0.523360	+	0.716558i
$653$	17.7845	−	26.6164i	0.695963	−	1.04158i	−0.300184	−	0.953881i	$-0.597048\pi$
$653$	17.7845	−	26.6164i	0.695963	−	1.04158i	0.996147	−	0.0877004i	$-0.0279518\pi$
$654$	−22.5078	−	35.8000i	−0.880123	−	1.39989i
$655$	6.75461	−	6.75461i	0.263925	−	0.263925i
$656$	−15.3725	+	48.1318i	−0.600196	+	1.87923i
$657$	−28.8245	−	35.0640i	−1.12455	−	1.36798i
$658$	11.5553	−	8.07517i	0.450474	−	0.314803i
$659$	−8.53098	+	12.7675i	−0.332320	+	0.497352i	−0.959572	−	0.281465i	$-0.909180\pi$
$659$	−8.53098	+	12.7675i	−0.332320	+	0.497352i	0.627252	+	0.778817i	$0.284180\pi$
$660$	−0.701695	−	3.65942i	−0.0273134	−	0.142443i
$661$	−2.52813	+	12.7098i	−0.0983327	+	0.494352i	0.899962	+	0.435969i	$0.143594\pi$
$661$	−2.52813	+	12.7098i	−0.0983327	+	0.494352i	−0.998294	+	0.0583828i	$0.981406\pi$
$662$	−3.54168	+	0.0739922i	−0.137651	+	0.00287579i
$663$	−9.62822	+	20.3788i	−0.373929	+	0.791449i
$664$	0.521373	−	0.0327153i	0.0202332	−	0.00126960i
$665$	8.53207	+	3.53410i	0.330859	+	0.137046i
$666$	20.8655	+	10.5770i	0.808523	+	0.409851i
$667$	9.35676	−	6.25199i	0.362295	−	0.242078i
$668$	−1.65460	−	39.5819i	−0.0640182	−	1.53147i
$669$	14.2087	+	10.5288i	0.549340	+	0.407068i
$670$	−2.29993	+	3.60278i	−0.0888540	+	0.139188i
$671$		−	6.94966i		−	0.268288i
$672$	13.5880	−	0.758558i	0.524168	−	0.0292620i
$673$		−	29.9606i		−	1.15489i	−0.816428	−	0.577447i	$-0.804049\pi$
$673$		−	29.9606i		−	1.15489i	0.816428	−	0.577447i	$-0.195951\pi$
$674$	17.3030	+	11.0458i	0.666486	+	0.425469i
$675$	13.3329	+	12.0543i	0.513185	+	0.463972i
$676$	−1.81397	−	1.66840i	−0.0697680	−	0.0641692i
$677$	11.5385	−	7.70977i	0.443460	−	0.296311i	−0.313721	−	0.949515i	$-0.601576\pi$
$677$	11.5385	−	7.70977i	0.443460	−	0.296311i	0.757182	+	0.653205i	$0.226576\pi$
$678$	11.0669	+	28.9695i	0.425023	+	1.11257i
$679$	1.57457	+	0.652210i	0.0604266	+	0.0250295i
$680$	−10.8764	+	5.32604i	−0.417090	+	0.204244i
$681$	46.5158	+	21.9769i	1.78249	+	0.842158i
$682$	0.104791	+	5.01590i	0.00401266	+	0.192069i
$683$	−7.51016	+	37.7561i	−0.287368	+	1.44470i	0.519756	+	0.854315i	$0.326023\pi$
$683$	−7.51016	+	37.7561i	−0.287368	+	1.44470i	−0.807124	+	0.590382i	$0.798977\pi$
$684$	−4.50925	−	31.8198i	−0.172415	−	1.21666i
$685$	5.93925	−	8.88872i	0.226927	−	0.339620i
$686$	13.5819	+	19.4353i	0.518558	+	0.742042i
$687$	−2.22032	+	45.5781i	−0.0847104	+	1.73891i
$688$	24.5548	−	19.5579i	0.936142	−	0.745638i
$689$	−8.15541	+	8.15541i	−0.310696	+	0.310696i
$690$	5.82324	+	9.26223i	0.221687	+	0.352607i
$691$	4.31748	−	6.46157i	0.164245	−	0.245810i	−0.740213	−	0.672372i	$-0.765276\pi$
$691$	4.31748	−	6.46157i	0.164245	−	0.245810i	0.904458	+	0.426562i	$0.140276\pi$
$692$	−29.7101	−	4.62928i	−1.12941	−	0.175979i
$693$	3.45614	+	1.04531i	0.131288	+	0.0397079i
$694$	12.7051	−	13.2473i	0.482281	−	0.502862i
$695$	−1.09480	+	0.453479i	−0.0415280	+	0.0172014i
$696$	14.9836	−	3.19897i	0.567952	−	0.121256i
$697$	40.2544	+	16.6739i	1.52474	+	0.631570i
$698$	5.29140	+	12.0559i	0.200282	+	0.456324i
$699$	−8.89981	−	2.22540i	−0.336622	−	0.0841723i
$700$	9.02374	+	3.30335i	0.341065	+	0.124855i
$701$	−5.45958	+	1.08598i	−0.206206	+	0.0410168i	−0.297112	−	0.954843i	$-0.596024\pi$
$701$	−5.45958	+	1.08598i	−0.206206	+	0.0410168i	0.0909066	+	0.995859i	$0.471024\pi$
$702$	20.9479	+	18.1584i	0.790628	+	0.685346i
$703$		−	29.5337i		−	1.11388i
$704$	−3.10061	+	6.20015i	−0.116858	+	0.233677i
$705$	10.3669	+	11.4286i	0.390439	+	0.430427i
$706$	0.872757	+	3.95411i	0.0328466	+	0.148815i
$707$	1.50167	+	7.54943i	0.0564763	+	0.283925i
$708$	−17.1305	+	6.95762i	−0.643803	+	0.261483i
$709$	−11.8296	+	7.90428i	−0.444270	+	0.296851i	−0.757511	−	0.652822i	$-0.773585\pi$
$709$	−11.8296	+	7.90428i	−0.444270	+	0.296851i	0.313242	+	0.949673i	$0.398585\pi$
$710$	25.2694	−	11.0908i	0.948345	−	0.416232i
$711$	−39.6809	−	21.1679i	−1.48815	−	0.793859i
$712$	−0.0663170	−	0.250283i	−0.00248534	−	0.00937976i
$713$	−5.63736	−	13.6098i	−0.211121	−	0.509691i
$714$	0.326060	−	11.7311i	0.0122025	−	0.439024i
$715$	0.791653	−	3.97991i	0.0296062	−	0.148840i
$716$	5.14772	+	0.802092i	0.192379	+	0.0299756i
$717$	10.9540	−	1.62948i	0.409086	−	0.0608541i
$718$	35.5626	+	6.30467i	1.32718	+	0.235288i
$719$	−4.03374	−	4.03374i	−0.150433	−	0.150433i	0.627878	−	0.778312i	$-0.283924\pi$
$719$	−4.03374	−	4.03374i	−0.150433	−	0.150433i	−0.778312	+	0.627878i	$0.783924\pi$
$720$	2.70417	+	14.6482i	0.100778	+	0.545906i
$721$	−8.00930	+	8.00930i	−0.298282	+	0.298282i
$722$	−11.2324	+	7.84950i	−0.418027	+	0.292128i
$723$	−2.26854	−	15.2500i	−0.0843679	−	0.567155i
$724$	−5.24922	+	1.27416i	−0.195086	+	0.0473536i
$725$	10.6104	+	2.11055i	0.394062	+	0.0783838i
$726$	18.2384	−	17.2519i	0.676890	−	0.640280i
$727$	−16.0288	+	6.63935i	−0.594476	+	0.246240i	−0.659575	−	0.751639i	$-0.729264\pi$
$727$	−16.0288	+	6.63935i	−0.594476	+	0.246240i	0.0650990	+	0.997879i	$0.479264\pi$
$728$	14.0211	+	4.80311i	0.519658	+	0.178015i
$729$	−20.9135	−	17.0771i	−0.774573	−	0.632484i
$730$	9.64965	−	24.7460i	0.357149	−	0.915892i
$731$	−15.0394	−	22.5080i	−0.556252	−	0.832489i
$732$	−0.191659	+	27.7819i	−0.00708394	+	1.02685i
$733$	13.5488	−	2.69502i	0.500435	−	0.0995427i	0.0615827	−	0.998102i	$-0.480385\pi$
$733$	13.5488	−	2.69502i	0.500435	−	0.0995427i	0.438852	+	0.898559i	$0.355385\pi$
$734$	−6.38592	+	10.0034i	−0.235708	+	0.369232i
$735$	−8.07494	+	7.32475i	−0.297849	+	0.270178i
$736$	1.86808	−	20.2688i	0.0688583	−	0.747117i
$737$	2.10986			0.0777176
$738$	33.0910	−	42.1555i	1.21810	−	1.55177i
$739$	5.06760	+	25.4766i	0.186415	+	0.937170i	0.954815	+	0.297201i	$0.0960530\pi$
$739$	5.06760	+	25.4766i	0.186415	+	0.937170i	−0.768400	+	0.639970i	$0.778947\pi$
$740$	0.571716	+	13.6768i	0.0210167	+	0.502770i
$741$	8.49021	−	33.9540i	0.311896	−	1.24733i
$742$	2.18174	−	5.59496i	0.0800941	−	0.205397i
$743$	3.63420	−	8.77373i	0.133326	−	0.321877i	−0.843091	−	0.537771i	$-0.819267\pi$
$743$	3.63420	−	8.77373i	0.133326	−	0.321877i	0.976417	+	0.215894i	$0.0692665\pi$
$744$	−0.280583	−	20.0544i	−0.0102867	−	0.735231i
$745$	4.75386	+	11.4768i	0.174168	+	0.420479i
$746$	−0.564235	−	27.0075i	−0.0206581	−	0.988814i
$747$	−0.530361	−	0.160407i	−0.0194049	−	0.00586898i
$748$	5.10478	+	3.11063i	0.186649	+	0.113736i
$749$	12.0607	+	8.05868i	0.440687	+	0.294458i
$750$	−5.71681	+	25.0773i	−0.208748	+	0.915694i
$751$	−15.5800	−	15.5800i	−0.568521	−	0.568521i	0.363193	−	0.931714i	$-0.381687\pi$
$751$	−15.5800	−	15.5800i	−0.568521	−	0.568521i	−0.931714	+	0.363193i	$0.881687\pi$
$752$	−2.39581	−	28.6067i	−0.0873663	−	1.04318i
$753$	12.0446	+	0.586749i	0.438930	+	0.0213823i
$754$	16.4294	+	2.91267i	0.598324	+	0.106073i
$755$	20.2624	+	13.5389i	0.737424	+	0.492731i
$756$	−13.7874	−	4.27402i	−0.501444	−	0.155445i
$757$	−25.8479	−	5.14147i	−0.939459	−	0.186870i	−0.298469	−	0.954419i	$-0.596476\pi$
$757$	−25.8479	−	5.14147i	−0.939459	−	0.186870i	−0.640990	+	0.767549i	$0.721476\pi$
$758$	−22.7838	+	23.7561i	−0.827545	+	0.862861i
$759$	2.30699	−	4.88292i	0.0837386	−	0.177239i
$760$	14.9513	−	11.4066i	0.542342	−	0.413760i
$761$	5.86272	−	14.1539i	0.212523	−	0.513077i	−0.781286	−	0.624173i	$-0.785436\pi$
$761$	5.86272	−	14.1539i	0.212523	−	0.513077i	0.993810	+	0.111096i	$0.0354361\pi$
$762$	−30.9671	−	13.8471i	−1.12182	−	0.501629i
$763$	13.3221	+	19.9379i	0.482292	+	0.721801i
$764$	14.1592	−	6.57060i	0.512264	−	0.237716i
$765$	12.7821	−	1.26955i	0.462139	−	0.0459006i
$766$	−5.06802	−	22.9612i	−0.183115	−	0.829620i
$767$	−20.1359			−0.727067
$768$	12.5659	−	24.7001i	0.453434	−	0.891290i
$769$	−18.5534			−0.669053			−0.334527	−	0.942386i	$-0.608576\pi$
$769$	−18.5534			−0.669053			−0.334527	+	0.942386i	$0.608576\pi$
$770$	0.455394	+	2.06321i	0.0164113	+	0.0743529i
$771$	−5.66189	+	7.64074i	−0.203908	+	0.275175i
$772$	−43.4903	+	20.1817i	−1.56525	+	0.726354i
$773$	−26.7277	−	40.0009i	−0.961329	−	1.43873i	−0.897624	−	0.440762i	$-0.854708\pi$
$773$	−26.7277	−	40.0009i	−0.961329	−	1.43873i	−0.0637056	−	0.997969i	$-0.520292\pi$
$774$	−31.6450	+	10.3548i	−1.13746	+	0.372195i
$775$	5.41946	−	13.0837i	0.194673	−	0.469982i
$776$	2.75923	−	2.10506i	0.0990507	−	0.0755672i
$777$	−11.9938	−	5.66663i	−0.430276	−	0.203289i
$778$	−7.92090	+	8.25892i	−0.283978	+	0.296097i
$779$	−66.3592	−	13.1997i	−2.37757	−	0.472927i
$780$	−3.27446	+	15.8882i	−0.117245	+	0.568889i
$781$	−11.3262	−	7.56790i	−0.405282	−	0.270801i
$782$	−17.2830	−	3.06399i	−0.618038	−	0.109568i
$783$	−16.0777	−	2.36464i	−0.574571	−	0.0845052i
$784$	20.2122	−	1.69277i	0.721864	−	0.0604561i
$785$	7.40146	+	7.40146i	0.264169	+	0.264169i
$786$	18.3785	+	4.18969i	0.655539	+	0.149441i
$787$	−21.6303	−	14.4529i	−0.771038	−	0.515191i	0.106723	−	0.994289i	$-0.465964\pi$
$787$	−21.6303	−	14.4529i	−0.771038	−	0.515191i	−0.877762	+	0.479097i	$0.840964\pi$
$788$	20.1930	+	12.3047i	0.719344	+	0.438337i
$789$	16.5882	+	27.6499i	0.590555	+	0.984363i
$790$	−0.549687	−	26.3111i	−0.0195570	−	0.936108i
$791$	−6.72948	−	16.2464i	−0.239273	−	0.577655i
$792$	5.37634	−	5.01573i	0.191040	−	0.178226i
$793$	−11.5787	+	27.9533i	−0.411170	+	0.992652i
$794$	0.229974	−	0.589757i	0.00816148	−	0.0209297i
$795$	6.37668	+	1.59449i	0.226158	+	0.0565507i
$796$	0.356447	+	8.52707i	0.0126339	+	0.302234i
$797$	−9.84359	−	49.4871i	−0.348678	−	1.75292i	−0.614516	−	0.788904i	$-0.710649\pi$
$797$	−9.84359	−	49.4871i	−0.348678	−	1.75292i	0.265838	−	0.964018i	$-0.414351\pi$
$798$	3.05729	+	17.9653i	0.108227	+	0.635966i
$799$	−24.7548			−0.875762
$800$	15.0481	−	12.5083i	0.532030	−	0.442236i
$801$	−0.0266933	+	0.273326i	−0.000943160	+	0.00965749i
$802$	12.6582	−	19.8288i	0.446976	−	0.700178i
$803$	−12.8589	+	2.55779i	−0.453781	+	0.0902626i
$804$	−8.43434	−	0.0581862i	−0.297456	−	0.00205207i
$805$	−3.44670	−	5.15836i	−0.121480	−	0.181808i
$806$	7.93538	−	20.3499i	0.279512	−	0.716794i
$807$	−32.8855	+	11.7819i	−1.15763	+	0.414742i
$808$	14.8284	+	5.07965i	0.521662	+	0.178701i
$809$	9.77841	−	4.05035i	0.343791	−	0.142403i	−0.204106	−	0.978949i	$-0.565429\pi$
$809$	9.77841	−	4.05035i	0.343791	−	0.142403i	0.547897	+	0.836546i	$0.315429\pi$
$810$	2.73236	−	15.5612i	0.0960053	−	0.546766i
$811$	37.1412	+	7.38784i	1.30420	+	0.259422i	0.797825	−	0.602889i	$-0.205984\pi$
$811$	37.1412	+	7.38784i	1.30420	+	0.259422i	0.506379	+	0.862311i	$0.330984\pi$
$812$	−8.44275	+	2.04933i	−0.296283	+	0.0719174i
$813$	−10.3551	+	1.54039i	−0.363171	+	0.0540239i
$814$	5.53857	−	3.87049i	0.194127	−	0.135661i
$815$	9.94366	−	9.94366i	0.348311	−	0.348311i
$816$	−20.3210	−	12.5758i	−0.711379	−	0.440242i
$817$	29.7239	+	29.7239i	1.03991	+	1.03991i
$818$	14.5670	+	2.58249i	0.509322	+	0.0902946i
$819$	−12.1600	−	9.96270i	−0.424904	−	0.348125i
$820$	30.9860	+	4.82808i	1.08208	+	0.168604i
$821$	4.17405	−	20.9844i	0.145675	−	0.732359i	−0.837026	−	0.547163i	$-0.815708\pi$
$821$	4.17405	−	20.9844i	0.145675	−	0.732359i	0.982702	−	0.185196i	$-0.0592921\pi$
$822$	21.0873	+	0.586111i	0.735504	+	0.0204430i
$823$	0.102942	+	0.248524i	0.00358834	+	0.00866301i	0.925664	−	0.378348i	$-0.123508\pi$
$823$	0.102942	+	0.248524i	0.00358834	+	0.00866301i	−0.922075	+	0.387011i	$0.873508\pi$
$824$	5.90770	+	22.2959i	0.205804	+	0.776714i
$825$	4.88752	−	1.75105i	0.170162	−	0.0609638i
$826$	9.60044	−	4.21367i	0.334042	−	0.146612i
$827$	9.97550	−	6.66542i	0.346882	−	0.231779i	−0.369908	−	0.929069i	$-0.620611\pi$
$827$	9.97550	−	6.66542i	0.346882	−	0.231779i	0.716790	+	0.697289i	$0.245611\pi$
$828$	−9.35708	+	19.4563i	−0.325181	+	0.676153i
$829$	−5.14445	−	25.8629i	−0.178674	−	0.898256i	−0.961245	−	0.275695i	$-0.911092\pi$
$829$	−5.14445	−	25.8629i	−0.178674	−	0.898256i	0.782571	−	0.622561i	$-0.213908\pi$
$830$	−0.0698823	−	0.316608i	−0.00242565	−	0.0109896i
$831$	−13.5655	+	12.3052i	−0.470580	+	0.426862i
$832$	22.8014	−	19.7728i	0.790495	−	0.685498i
$833$		−	17.4906i		−	0.606014i
$834$	−1.90744	−	1.35265i	−0.0660492	−	0.0468383i
$835$	−24.1157	+	4.79691i	−0.834558	+	0.166004i
$836$	−8.71700	−	3.19106i	−0.301484	−	0.110365i
$837$	−7.14194	+	20.0383i	−0.246862	+	0.692625i
$838$	0.558240	+	1.27190i	0.0192841	+	0.0439369i
$839$	26.5968	+	11.0167i	0.918222	+	0.380340i	0.791198	−	0.611559i	$-0.209457\pi$
$839$	26.5968	+	11.0167i	0.918222	+	0.380340i	0.127024	+	0.991900i	$0.459457\pi$
$840$	−1.76358	−	8.26042i	−0.0608493	−	0.285012i
$841$	17.7561	−	7.35482i	0.612280	−	0.253615i
$842$	−34.6101	+	36.0871i	−1.19274	+	1.24364i
$843$	18.8663	+	31.4471i	0.649789	+	1.08310i
$844$	−5.49847	−	0.856744i	−0.189265	−	0.0294904i
$845$	−0.849822	+	1.27185i	−0.0292348	+	0.0437529i
$846$	−8.20402	+	29.3221i	−0.282060	+	1.00812i
$847$	−10.0662	+	10.0662i	−0.345880	+	0.345880i
$848$	−7.61884	−	9.56539i	−0.261632	−	0.328477i
$849$	−23.6590	−	1.15254i	−0.811976	−	0.0395551i
$850$	−9.66571	−	13.8314i	−0.331531	−	0.474412i
$851$	−11.0226	+	16.4964i	−0.377849	+	0.565490i
$852$	45.0687	+	30.5657i	1.54403	+	1.04716i
$853$	−0.701098	+	3.52466i	−0.0240052	+	0.120682i	−0.990930	−	0.134380i	$-0.957096\pi$
$853$	−0.701098	+	3.52466i	−0.0240052	+	0.120682i	0.966925	+	0.255062i	$0.0820958\pi$
$854$	−0.329058	−	15.7506i	−0.0112601	−	0.538974i
$855$	−19.0827	+	5.80583i	−0.652616	+	0.198555i
$856$	26.5277	−	12.9903i	0.906697	−	0.444000i
$857$	9.86695	+	4.08703i	0.337049	+	0.139610i	0.544787	−	0.838574i	$-0.316610\pi$
$857$	9.86695	+	4.08703i	0.337049	+	0.139610i	−0.207739	+	0.978184i	$0.566610\pi$
$858$	7.48021	−	2.85760i	0.255370	−	0.0975568i
$859$	3.39732	−	2.27002i	0.115915	−	0.0774521i	−0.496261	−	0.868173i	$-0.665294\pi$
$859$	3.39732	−	2.27002i	0.115915	−	0.0774521i	0.612177	+	0.790721i	$0.290294\pi$
$860$	−14.3403	−	13.1895i	−0.489000	−	0.449758i
$861$	−18.0928	+	24.4163i	−0.616602	+	0.832106i
$862$	23.5669	+	15.0445i	0.802692	+	0.512419i
$863$		−	53.5334i		−	1.82230i	−0.412075	−	0.911150i	$-0.635196\pi$
$863$		−	53.5334i		−	1.82230i	0.412075	−	0.911150i	$-0.364804\pi$
$864$	−21.6307	+	19.9026i	−0.735892	+	0.677099i
$865$			18.6622i			0.634535i
$866$	8.30010	−	13.0019i	0.282049	−	0.441823i
$867$	5.26140	−	7.10028i	0.178686	−	0.241138i
$868$	0.474995	+	11.3630i	0.0161224	+	0.385686i
$869$	−10.8011	+	7.21706i	−0.366402	+	0.244822i
$870$	−3.39353	−	8.88310i	−0.115051	−	0.301165i
$871$	−8.48640	−	3.51518i	−0.287551	−	0.119107i
$872$	48.7337	−	3.05796i	1.65033	−	0.103556i
$873$	−3.52168	+	1.07145i	−0.119191	+	0.0362632i
$874$	27.2504	−	0.569310i	0.921759	−	0.0192572i
$875$	2.84537	−	14.3046i	0.0961909	−	0.483584i
$876$	51.4751	−	9.87039i	1.73918	−	0.333489i
$877$	12.5744	−	18.8189i	0.424607	−	0.635469i	−0.556062	−	0.831140i	$-0.687688\pi$
$877$	12.5744	−	18.8189i	0.424607	−	0.635469i	0.980670	+	0.195671i	$0.0626885\pi$
$878$	25.4779	−	17.8046i	0.859838	−	0.600877i
$879$	−49.0846	−	2.39114i	−1.65558	−	0.0806511i
$880$	4.09855	+	1.30901i	0.138162	+	0.0441267i
$881$	−38.2745	+	38.2745i	−1.28950	+	1.28950i	−0.354411	+	0.935090i	$0.615318\pi$
$881$	−38.2745	+	38.2745i	−1.28950	+	1.28950i	−0.935090	+	0.354411i	$0.884682\pi$
$882$	−20.7177	−	5.79658i	−0.697601	−	0.195181i
$883$	26.3202	−	39.3910i	0.885746	−	1.32561i	−0.0591532	−	0.998249i	$-0.518840\pi$
$883$	26.3202	−	39.3910i	0.885746	−	1.32561i	0.944899	−	0.327363i	$-0.106160\pi$
$884$	−15.3502	−	21.0167i	−0.516284	−	0.706870i
$885$	5.90368	+	9.84052i	0.198450	+	0.330786i
$886$	34.6116	+	33.1950i	1.16280	+	1.11521i
$887$	0.776266	−	0.321540i	0.0260645	−	0.0107963i	−0.369613	−	0.929186i	$-0.620510\pi$
$887$	0.776266	−	0.321540i	0.0260645	−	0.0107963i	0.395678	+	0.918389i	$0.370510\pi$
$888$	−22.2477	+	15.3199i	−0.746583	+	0.514102i
$889$	17.7712	+	7.36109i	0.596028	+	0.246883i
$890$	−0.147150	+	0.0645849i	−0.00493250	+	0.00216489i
$891$	−7.20018	+	2.99630i	−0.241215	+	0.100380i
$892$	−18.5231	+	8.59565i	−0.620199	+	0.287804i
$893$	37.7019	−	7.49937i	1.26164	−	0.250957i
$894$	−14.1799	+	19.9958i	−0.474247	+	0.668761i
$895$		−	3.23351i		−	0.108084i
$896$	−6.73360	+	14.1987i	−0.224954	+	0.474347i
$897$	−17.4147	+	15.7968i	−0.581458	+	0.527439i
$898$	14.1261	−	3.11793i	0.471394	−	0.104047i
$899$	2.49789	+	12.5577i	0.0833091	+	0.418823i
$900$	−19.5866	+	6.86520i	−0.652887	+	0.228840i
$901$	−8.76807	+	5.85864i	−0.292107	+	0.195179i
$902$	−6.22123	−	14.1745i	−0.207144	−	0.471958i
$903$	17.7742	−	6.36795i	0.591488	−	0.211912i
$904$	−35.4894	−	4.77280i	−1.18036	−	0.158741i
$905$	1.28297	+	3.09736i	0.0426473	+	0.102960i
$906$	−1.33608	+	48.0698i	−0.0443882	+	1.59701i
$907$	−0.721978	+	3.62963i	−0.0239729	+	0.120520i	−0.990919	−	0.134462i	$-0.957069\pi$
$907$	−0.721978	+	3.62963i	−0.0239729	+	0.120520i	0.966946	+	0.254982i	$0.0820694\pi$
$908$	−47.9719	+	35.0377i	−1.59200	+	1.16277i
$909$	−12.8601	−	10.5363i	−0.426542	−	0.349467i
$910$	1.60575	−	9.05749i	0.0532300	−	0.300253i
$911$	8.74168	+	8.74168i	0.289625	+	0.289625i	0.836932	−	0.547307i	$-0.184347\pi$
$911$	8.74168	+	8.74168i	0.289625	+	0.289625i	−0.547307	+	0.836932i	$0.684347\pi$
$912$	34.7590	+	12.9969i	1.15098	+	0.430372i
$913$	−0.113168	+	0.113168i	−0.00374532	+	0.00374532i
$914$	−9.65891	−	13.8216i	−0.319488	−	0.457179i
$915$	17.0557	−	2.53714i	0.563844	−	0.0838753i
$916$	−44.9957	−	27.4185i	−1.48670	−	0.905931i
$917$	−10.4835	−	2.08529i	−0.346195	−	0.0688624i
$918$	15.5460	+	20.0201i	0.513095	+	0.660762i
$919$	1.30013	−	0.538533i	0.0428875	−	0.0177646i	−0.361137	−	0.932513i	$-0.617611\pi$
$919$	1.30013	−	0.538533i	0.0428875	−	0.0177646i	0.404024	+	0.914748i	$0.367611\pi$
$920$	−12.6084	+	0.791160i	−0.415688	+	0.0260838i
$921$	−29.8574	+	10.6970i	−0.983835	+	0.352478i
$922$	−26.7121	−	10.4163i	−0.879716	−	0.343043i
$923$	32.9481	+	49.3104i	1.08450	+	1.62307i
$924$	−2.96844	+	2.92777i	−0.0976546	+	0.0963165i
$925$	−18.7067	+	3.72100i	−0.615073	+	0.122346i
$926$	11.9233	+	7.61153i	0.391824	+	0.250131i
$927$	2.37791	−	24.3486i	0.0781008	−	0.799713i
$928$	−5.02934	+	16.9616i	−0.165096	+	0.556791i
$929$	−32.4274			−1.06391			−0.531954	−	0.846773i	$-0.678542\pi$
$929$	−32.4274			−1.06391			−0.531954	+	0.846773i	$0.678542\pi$
$930$	−12.2717	+	2.08835i	−0.402404	+	0.0684798i
$931$	5.29871	+	26.6384i	0.173658	+	0.873039i
$932$	7.17102	−	7.79670i	0.234895	−	0.255389i
$933$	−25.5581	−	6.39081i	−0.836736	−	0.209226i
$934$	−51.7471	−	20.1787i	−1.69322	−	0.660266i
$935$	1.41983	−	3.42777i	0.0464333	−	0.112100i
$936$	−29.9816	+	11.2172i	−0.979980	+	0.366646i
$937$	−22.2370	−	53.6849i	−0.726451	−	1.75381i	−0.654074	−	0.756431i	$-0.726942\pi$
$937$	−22.2370	−	53.6849i	−0.726451	−	1.75381i	−0.0723771	−	0.997377i	$-0.523058\pi$
$938$	4.78175	−	0.0998994i	0.156130	−	0.00326183i
$939$	−16.9464	−	28.2470i	−0.553024	−	0.921805i
$940$	−17.3143	+	4.20274i	−0.564729	+	0.137078i
$941$	38.3475	+	25.6229i	1.25009	+	0.835284i	0.991424	−	0.130682i	$-0.0417168\pi$
$941$	38.3475	+	25.6229i	1.25009	+	0.835284i	0.258667	+	0.965967i	$0.416717\pi$
$942$	−4.59091	+	20.1385i	−0.149580	+	0.656147i
$943$	32.1394	+	32.1394i	1.04660	+	1.04660i
$944$	2.40304	−	21.2142i	0.0782123	−	0.690463i
$945$	−1.30362	+	8.86361i	−0.0424067	+	0.288333i
$946$	−1.67882	+	9.46966i	−0.0545830	+	0.307885i
$947$	26.3816	+	17.6276i	0.857287	+	0.572821i	0.904697	−	0.426055i	$-0.140097\pi$
$947$	26.3816	+	17.6276i	0.857287	+	0.572821i	−0.0474108	+	0.998875i	$0.515097\pi$
$948$	43.3774	−	28.5530i	1.40883	−	0.927358i
$949$	55.9834	+	11.1358i	1.81730	+	0.361483i
$950$	18.9111	+	18.1371i	0.613558	+	0.588446i
$951$	25.6507	+	12.1190i	0.831780	+	0.392984i
$952$	11.7167	+	6.80819i	0.379740	+	0.220655i
$953$	1.80387	−	4.35493i	0.0584332	−	0.141070i	−0.891966	−	0.452102i	$-0.850674\pi$
$953$	1.80387	−	4.35493i	0.0584332	−	0.141070i	0.950400	+	0.311031i	$0.100674\pi$
$954$	4.03374	+	12.3274i	0.130597	+	0.399115i
$955$	−5.38243	−	8.05538i	−0.174171	−	0.260666i
$956$	−4.39598	+	12.0085i	−0.142176	+	0.388381i
$957$	−2.79459	+	3.77131i	−0.0903364	+	0.121909i
$958$	−43.9644	+	9.70388i	−1.42042	+	0.313518i
$959$	−11.9621			−0.386277
$960$	−16.3482	−	5.34592i	−0.527636	−	0.172539i
$961$	−14.2392			−0.459330
$962$	−28.7261	+	6.34047i	−0.926167	+	0.204425i
$963$	−31.1759	+	3.09645i	−1.00463	+	0.0997817i
$964$	16.7180	+	6.12002i	0.538451	+	0.197113i
$965$	16.5322	+	24.7422i	0.532190	+	0.796479i
$966$	4.99734	−	11.1758i	0.160787	−	0.359576i
$967$	−10.4816	+	25.3049i	−0.337066	+	0.813750i	0.660928	+	0.750449i	$0.270163\pi$
$967$	−10.4816	+	25.3049i	−0.337066	+	0.813750i	−0.997995	+	0.0633006i	$0.979837\pi$
$968$	7.42491	+	28.0219i	0.238646	+	0.900659i
$969$	13.6701	−	28.9338i	0.439147	−	0.929488i
$970$	−1.55459	−	1.49097i	−0.0499150	−	0.0478720i
$971$	−34.3588	−	6.83440i	−1.10263	−	0.219326i	−0.389962	−	0.920831i	$-0.627512\pi$
$971$	−34.3588	−	6.83440i	−1.10263	−	0.219326i	−0.712665	+	0.701505i	$0.752512\pi$
$972$	28.8660	−	11.7794i	0.925877	−	0.377824i
$973$	1.10250	+	0.736669i	0.0353446	+	0.0236165i
$974$	−2.80305	+	15.8111i	−0.0898156	+	0.506620i
$975$	−22.5763	−	1.09980i	−0.723020	−	0.0352216i
$976$	−28.0684	−	15.5346i	−0.898447	−	0.497252i
$977$	35.9549	+	35.9549i	1.15030	+	1.15030i	0.986492	+	0.163808i	$0.0523776\pi$
$977$	35.9549	+	35.9549i	1.15030	+	1.15030i	0.163808	+	0.986492i	$0.447622\pi$
$978$	27.0555	+	6.16776i	0.865139	+	0.197223i
$979$	0.0659552	+	0.0440699i	0.00210794	+	0.00140848i
$980$	−2.96946	−	12.2335i	−0.0948560	−	0.390784i
$981$	−49.5738	−	14.9935i	−1.58277	−	0.478706i
$982$	49.5951	−	1.03613i	1.58264	−	0.0330643i
$983$	0.0434959	+	0.105008i	0.00138731	+	0.00334925i	0.924572	−	0.381008i	$-0.124423\pi$
$983$	0.0434959	+	0.105008i	0.00138731	+	0.00334925i	−0.923184	+	0.384357i	$0.874423\pi$
$984$	24.4790	+	56.8353i	0.780362	+	1.81184i
$985$	5.61640	−	13.5592i	0.178953	−	0.432032i
$986$	14.2135	+	5.54252i	0.452651	+	0.176510i
$987$	4.18831	−	16.7499i	0.133315	−	0.533155i
$988$	29.7455	+	27.3585i	0.946331	+	0.870389i
$989$	−5.50912	−	27.6962i	−0.175180	−	0.880688i
$990$	−3.58965	−	2.81779i	−0.114087	−	0.0895552i
$991$	55.7844			1.77205			0.886025	−	0.463638i	$-0.153456\pi$
$991$	55.7844			1.77205			0.886025	+	0.463638i	$0.153456\pi$
$992$	20.4926	+	10.7889i	0.650639	+	0.342547i
$993$	−3.21350	+	2.91495i	−0.101977	+	0.0925032i
$994$	−26.0278	−	16.6155i	−0.825551	−	0.527012i
$995$	5.19521	−	1.03339i	0.164699	−	0.0327607i
$996$	0.455521	−	0.449279i	0.0144337	−	0.0142359i
$997$	−24.1434	−	36.1331i	−0.764629	−	1.14435i	−0.985604	−	0.169069i	$-0.945924\pi$
$997$	−24.1434	−	36.1331i	−0.764629	−	1.14435i	0.220975	−	0.975279i	$-0.429076\pi$
$998$	−34.4756	−	13.4437i	−1.09131	−	0.425552i
$999$	27.7835	−	6.99585i	0.879031	−	0.221339i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	192.2.s.a.107.17	yes	240
3.2	odd	2	inner	192.2.s.a.107.14	✓	240
4.3	odd	2		768.2.s.a.335.6		240
12.11	even	2		768.2.s.a.335.10		240
64.3	odd	16	inner	192.2.s.a.131.14	yes	240
64.61	even	16		768.2.s.a.431.10		240
192.125	odd	16		768.2.s.a.431.6		240
192.131	even	16	inner	192.2.s.a.131.17	yes	240

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
192.2.s.a.107.14	✓	240	3.2	odd	2	inner
192.2.s.a.107.17	yes	240	1.1	even	1	trivial
192.2.s.a.131.14	yes	240	64.3	odd	16	inner
192.2.s.a.131.17	yes	240	192.131	even	16	inner
768.2.s.a.335.6		240	4.3	odd	2
768.2.s.a.335.10		240	12.11	even	2
768.2.s.a.431.6		240	192.125	odd	16
768.2.s.a.431.10		240	64.61	even	16

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)

\(f(q)\)	\(=\)	\(q+(0.304811 + 1.38097i) q^{2} +(1.39162 + 1.03121i) q^{3} +(-1.81418 + 0.841871i) q^{4} +(0.689635 + 1.03211i) q^{5} +(-0.999893 + 2.23612i) q^{6} +(0.531539 - 1.28325i) q^{7} +(-1.71558 - 2.24873i) q^{8} +(0.873215 + 2.87010i) q^{9} +O(q^{10})\)	\(q+(0.304811 + 1.38097i) q^{2} +(1.39162 + 1.03121i) q^{3} +(-1.81418 + 0.841871i) q^{4} +(0.689635 + 1.03211i) q^{5} +(-0.999893 + 2.23612i) q^{6} +(0.531539 - 1.28325i) q^{7} +(-1.71558 - 2.24873i) q^{8} +(0.873215 + 2.87010i) q^{9} +(-1.21511 + 1.26697i) q^{10} +(0.849877 + 0.169051i) q^{11} +(-3.39280 - 0.699235i) q^{12} +(-3.13678 - 2.09593i) q^{13} +(1.93415 + 0.342894i) q^{14} +(-0.104613 + 2.14746i) q^{15} +(2.58251 - 3.05461i) q^{16} +(-2.43904 - 2.43904i) q^{17} +(-3.69737 + 2.08073i) q^{18} +(4.45358 + 2.97579i) q^{19} +(-2.12003 - 1.29185i) q^{20} +(2.06300 - 1.23767i) q^{21} +(0.0255964 + 1.22519i) q^{22} +(-1.37698 - 3.32434i) q^{23} +(-0.0685352 - 4.89850i) q^{24} +(1.32376 - 3.19584i) q^{25} +(1.93830 - 4.97067i) q^{26} +(-1.74449 + 4.89456i) q^{27} +(0.116022 + 2.77553i) q^{28} +(0.610135 + 3.06735i) q^{29} +(-2.99748 + 0.510102i) q^{30} +4.09399 q^{31} +(5.00552 + 2.63529i) q^{32} +(1.00838 + 1.11166i) q^{33} +(2.62481 - 4.11170i) q^{34} +(1.69102 - 0.336365i) q^{35} +(-4.00043 - 4.47175i) q^{36} +(-3.06332 - 4.58459i) q^{37} +(-2.75199 + 7.05734i) q^{38} +(-2.20386 - 6.15141i) q^{39} +(1.13781 - 3.32147i) q^{40} +(-11.6702 + 4.83397i) q^{41} +(2.33801 + 2.47169i) q^{42} +(7.69717 + 1.53106i) q^{43} +(-1.68415 + 0.408798i) q^{44} +(-2.36007 + 2.88058i) q^{45} +(4.17110 - 2.91487i) q^{46} +(5.07470 - 5.07470i) q^{47} +(6.74381 - 1.58776i) q^{48} +(3.58555 + 3.58555i) q^{49} +(4.81687 + 0.853953i) q^{50} +(-0.879057 - 5.90938i) q^{51} +(7.45518 + 1.16163i) q^{52} +(0.596430 - 2.99845i) q^{53} +(-7.29101 - 0.917187i) q^{54} +(0.411625 + 0.993751i) q^{55} +(-3.79758 + 1.00624i) q^{56} +(3.12904 + 8.73375i) q^{57} +(-4.04996 + 1.77754i) q^{58} +(4.43794 - 2.96533i) q^{59} +(-1.61810 - 3.98396i) q^{60} +(-1.56465 - 7.86602i) q^{61} +(1.24789 + 5.65370i) q^{62} +(4.14721 + 0.405020i) q^{63} +(-2.11354 + 7.71576i) q^{64} -4.68293i q^{65} +(-1.22780 + 1.73139i) q^{66} +(2.38806 - 0.475014i) q^{67} +(6.47822 + 2.37150i) q^{68} +(1.51185 - 6.04617i) q^{69} +(0.979954 + 2.23273i) q^{70} +(-14.5235 - 6.01581i) q^{71} +(4.95600 - 6.88753i) q^{72} +(-13.9786 + 5.79012i) q^{73} +(5.39747 - 5.62781i) q^{74} +(5.13775 - 3.08232i) q^{75} +(-10.5848 - 1.64928i) q^{76} +(0.668677 - 1.00075i) q^{77} +(7.82318 - 4.91849i) q^{78} +(-10.6005 + 10.6005i) q^{79} +(4.93369 + 0.558865i) q^{80} +(-7.47499 + 5.01244i) q^{81} +(-10.2328 - 14.6428i) q^{82} +(-0.102611 + 0.153569i) q^{83} +(-2.70070 + 3.98213i) q^{84} +(0.835314 - 4.19941i) q^{85} +(0.231821 + 11.0963i) q^{86} +(-2.31401 + 4.89777i) q^{87} +(-1.07789 - 2.20116i) q^{88} +(0.0845738 + 0.0350316i) q^{89} +(-4.69738 - 2.38116i) q^{90} +(-4.35692 + 2.91120i) q^{91} +(5.29676 + 4.87170i) q^{92} +(5.69728 + 4.22176i) q^{93} +(8.55486 + 5.46121i) q^{94} +6.64880i q^{95} +(4.24824 + 8.82907i) q^{96} +1.22702i q^{97} +(-3.85864 + 6.04447i) q^{98} +(0.256931 + 2.58685i) 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

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