LMFDB - Embedded newform 36.2.h.a.11.3

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [36,2,Mod(11,36)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(36, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([3, 1]))

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

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

chi := DirichletCharacter("36.11");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 36 = 2^{2} \cdot 3^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	36.h (of order $6$, degree $2$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

gp: f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$0.287461447277$
Analytic rank:	$0$
Dimension:	$8$
Relative dimension:	$4$ over $\Q(\zeta_{6})$
Coefficient field:	8.0.170772624.1
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{8} - 3x^{7} + 5x^{6} - 6x^{5} + 6x^{4} - 12x^{3} + 20x^{2} - 24x + 16 $ x^8 - 3x^7 + 5x^6 - 6x^5 + 6x^4 - 12x^3 + 20x^2 - 24*x + 16
Coefficient ring:	$\Z[a_1, \ldots, a_{5}]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			11.3
Root			$-1.02187 - 0.977642i$ of defining polynomial
Character	$\chi$	$=$	36.11
Dual form			36.2.h.a.23.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.335728 + 1.37379i) q^{2} +(1.35760 - 1.07561i) q^{3} +(-1.77457 - 0.922437i) q^{4} +(-2.18614 + 1.26217i) q^{5} +(1.02187 + 2.22616i) q^{6} +(-1.10489 - 0.637910i) q^{7} +(1.86301 - 2.12819i) q^{8} +(0.686141 - 2.92048i) q^{9} +O(q^{10})$	\(q+(-0.335728 + 1.37379i) q^{2} +(1.35760 - 1.07561i) q^{3} +(-1.77457 - 0.922437i) q^{4} +(-2.18614 + 1.26217i) q^{5} +(1.02187 + 2.22616i) q^{6} +(-1.10489 - 0.637910i) q^{7} +(1.86301 - 2.12819i) q^{8} +(0.686141 - 2.92048i) q^{9} +(-1.00000 - 3.42703i) q^{10} +(-0.252704 + 0.437696i) q^{11} +(-3.40134 + 0.656444i) q^{12} +(1.18614 + 2.05446i) q^{13} +(1.24730 - 1.30372i) q^{14} +(-1.61030 + 4.06494i) q^{15} +(2.29822 + 3.27386i) q^{16} -0.792287i q^{17} +(3.78176 + 1.92310i) q^{18} +4.70285i q^{19} +(5.04374 - 0.223233i) q^{20} +(-2.18614 + 0.322405i) q^{21} +(-0.516461 - 0.494108i) q^{22} +(-1.61030 - 2.78912i) q^{23} +(0.240111 - 4.89309i) q^{24} +(0.686141 - 1.18843i) q^{25} +(-3.22060 + 0.939764i) q^{26} +(-2.20979 - 4.70285i) q^{27} +(1.37228 + 2.15121i) q^{28} +(2.18614 + 1.26217i) q^{29} +(-5.04374 - 3.57693i) q^{30} +(7.04069 - 4.06494i) q^{31} +(-5.26916 + 2.05813i) q^{32} +(0.127719 + 0.866025i) q^{33} +(1.08843 + 0.265993i) q^{34} +3.22060 q^{35} +(-3.91157 + 4.54969i) q^{36} -6.74456 q^{37} +(-6.46071 - 1.57888i) q^{38} +(3.82009 + 1.51330i) q^{39} +(-1.38665 + 7.00396i) q^{40} +(5.87228 - 3.39036i) q^{41} +(0.291034 - 3.11153i) q^{42} +(-6.69391 - 3.86473i) q^{43} +(0.852189 - 0.543620i) q^{44} +(2.18614 + 7.25061i) q^{45} +(4.37228 - 1.27582i) q^{46} +(-0.599485 + 1.03834i) q^{47} +(6.64145 + 1.97261i) q^{48} +(-2.68614 - 4.65253i) q^{49} +(1.40229 + 1.34160i) q^{50} +(-0.852189 - 1.07561i) q^{51} +(-0.209786 - 4.73992i) q^{52} -1.87953i q^{53} +(7.20260 - 1.45689i) q^{54} -1.27582i q^{55} +(-3.41602 + 1.16300i) q^{56} +(5.05842 + 6.38458i) q^{57} +(-2.46790 + 2.57954i) q^{58} +(6.18850 + 10.7188i) q^{59} +(6.60725 - 5.72814i) q^{60} +(1.18614 - 2.05446i) q^{61} +(3.22060 + 11.0371i) q^{62} +(-2.62112 + 2.78912i) q^{63} +(-1.05842 - 7.92967i) q^{64} +(-5.18614 - 2.99422i) q^{65} +(-1.23261 - 0.115291i) q^{66} +(-6.69391 + 3.86473i) q^{67} +(-0.730835 + 1.40597i) q^{68} +(-5.18614 - 2.05446i) q^{69} +(-1.08125 + 4.42442i) q^{70} -11.8716 q^{71} +(-4.93707 - 6.90111i) q^{72} +3.37228 q^{73} +(2.26434 - 9.26558i) q^{74} +(-0.346781 - 2.35143i) q^{75} +(4.33809 - 8.34556i) q^{76} +(0.558422 - 0.322405i) q^{77} +(-3.36147 + 4.73992i) q^{78} +(8.55691 + 4.94034i) q^{79} +(-9.15640 - 4.25639i) q^{80} +(-8.05842 - 4.00772i) q^{81} +(2.68614 + 9.20550i) q^{82} +(3.82009 - 6.61659i) q^{83} +(4.17686 + 1.44445i) q^{84} +(1.00000 + 1.73205i) q^{85} +(7.55665 - 7.89850i) q^{86} +(4.32550 - 0.637910i) q^{87} +(0.460714 + 1.35323i) q^{88} +11.9769i q^{89} +(-10.6947 + 0.569054i) q^{90} -3.02661i q^{91} +(0.284805 + 6.43491i) q^{92} +(5.18614 - 13.0916i) q^{93} +(-1.22519 - 1.17216i) q^{94} +(-5.93580 - 10.2811i) q^{95} +(-4.93967 + 8.46166i) q^{96} +(-5.24456 + 9.08385i) q^{97} +(7.29339 - 2.12819i) q^{98} +(1.10489 + 1.03834i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 8 q - 3 q^{2} - q^{4} - 6 q^{5} - 3 q^{6} - 6 q^{9}+O(q^{10}) $ 8 * q - 3 * q^2 - q^4 - 6 * q^5 - 3 * q^6 - 6 * q^9	$ 8 q - 3 q^{2} - q^{4} - 6 q^{5} - 3 q^{6} - 6 q^{9} - 8 q^{10} + 6 q^{12} - 2 q^{13} + 12 q^{14} - q^{16} + 18 q^{18} + 18 q^{20} - 6 q^{21} + 3 q^{22} + 3 q^{24} - 6 q^{25} - 12 q^{28} + 6 q^{29} - 18 q^{30} - 33 q^{32} + 24 q^{33} + 7 q^{34} - 33 q^{36} - 8 q^{37} - 27 q^{38} + 10 q^{40} + 24 q^{41} - 18 q^{42} + 6 q^{45} + 12 q^{46} + 21 q^{48} - 10 q^{49} + 21 q^{50} + 16 q^{52} + 39 q^{54} + 18 q^{56} + 6 q^{57} + 4 q^{58} + 6 q^{60} - 2 q^{61} + 26 q^{64} - 30 q^{65} - 24 q^{66} - 15 q^{68} - 30 q^{69} - 6 q^{70} - 21 q^{72} + 4 q^{73} - 30 q^{74} - 3 q^{76} - 30 q^{77} - 12 q^{78} - 30 q^{81} + 10 q^{82} + 30 q^{84} + 8 q^{85} + 21 q^{86} - 21 q^{88} + 6 q^{90} + 24 q^{92} + 30 q^{93} - 18 q^{94} + 12 q^{96} + 4 q^{97}+O(q^{100}) $ 8 * q - 3 * q^2 - q^4 - 6 * q^5 - 3 * q^6 - 6 * q^9 - 8 * q^10 + 6 * q^12 - 2 * q^13 + 12 * q^14 - q^16 + 18 * q^18 + 18 * q^20 - 6 * q^21 + 3 * q^22 + 3 * q^24 - 6 * q^25 - 12 * q^28 + 6 * q^29 - 18 * q^30 - 33 * q^32 + 24 * q^33 + 7 * q^34 - 33 * q^36 - 8 * q^37 - 27 * q^38 + 10 * q^40 + 24 * q^41 - 18 * q^42 + 6 * q^45 + 12 * q^46 + 21 * q^48 - 10 * q^49 + 21 * q^50 + 16 * q^52 + 39 * q^54 + 18 * q^56 + 6 * q^57 + 4 * q^58 + 6 * q^60 - 2 * q^61 + 26 * q^64 - 30 * q^65 - 24 * q^66 - 15 * q^68 - 30 * q^69 - 6 * q^70 - 21 * q^72 + 4 * q^73 - 30 * q^74 - 3 * q^76 - 30 * q^77 - 12 * q^78 - 30 * q^81 + 10 * q^82 + 30 * q^84 + 8 * q^85 + 21 * q^86 - 21 * q^88 + 6 * q^90 + 24 * q^92 + 30 * q^93 - 18 * q^94 + 12 * q^96 + 4 * q^97

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/36\mathbb{Z}\right)^\times$.

$n$	$19$	$29$
$\chi(n)$	$-1$	$e\left(\frac{1}{6}\right)$

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	−0.335728	+	1.37379i	−0.237396	+	0.971413i
$2$	−0.335728	+	1.37379i	−0.237396	+	0.971413i
$3$	1.35760	−	1.07561i	0.783809	−	0.621002i
$3$	1.35760	−	1.07561i	0.783809	−	0.621002i
$4$	−1.77457	−	0.922437i	−0.887287	−	0.461219i
$5$	−2.18614	+	1.26217i	−0.977672	+	0.564459i	−0.901566	−	0.432641i	$-0.857582\pi$
$5$	−2.18614	+	1.26217i	−0.977672	+	0.564459i	−0.0761054	+	0.997100i	$0.524249\pi$
$6$	1.02187	+	2.22616i	0.417176	+	0.908826i
$7$	−1.10489	−	0.637910i	−0.417610	−	0.241107i	0.276444	−	0.961030i	$-0.410844\pi$
$7$	−1.10489	−	0.637910i	−0.417610	−	0.241107i	−0.694054	+	0.719923i	$0.744177\pi$
$8$	1.86301	−	2.12819i	0.658672	−	0.752430i
$9$	0.686141	−	2.92048i	0.228714	−	0.973494i
$10$	−1.00000	−	3.42703i	−0.316228	−	1.08372i
$11$	−0.252704	+	0.437696i	−0.0761931	+	0.131970i	−0.901605	−	0.432561i	$-0.857610\pi$
$11$	−0.252704	+	0.437696i	−0.0761931	+	0.131970i	0.825411	+	0.564532i	$0.190943\pi$
$12$	−3.40134	+	0.656444i	−0.981881	+	0.189499i
$13$	1.18614	+	2.05446i	0.328976	+	0.569804i	0.982309	−	0.187267i	$-0.0599631\pi$
$13$	1.18614	+	2.05446i	0.328976	+	0.569804i	−0.653333	+	0.757071i	$0.726630\pi$
$14$	1.24730	−	1.30372i	0.333354	−	0.348434i
$15$	−1.61030	+	4.06494i	−0.415778	+	1.04956i
$16$	2.29822	+	3.27386i	0.574555	+	0.818466i
$17$		−	0.792287i		−	0.192158i	−0.995374	−	0.0960789i	$-0.969370\pi$
$17$		−	0.792287i		−	0.192158i	0.995374	−	0.0960789i	$-0.0306301\pi$
$18$	3.78176	+	1.92310i	0.891369	+	0.453279i
$19$			4.70285i			1.07891i	0.842015	+	0.539454i	$0.181369\pi$
$19$			4.70285i			1.07891i	−0.842015	+	0.539454i	$0.818631\pi$
$20$	5.04374	−	0.223233i	1.12781	−	0.0499164i
$21$	−2.18614	+	0.322405i	−0.477055	+	0.0703546i
$22$	−0.516461	−	0.494108i	−0.110110	−	0.105344i
$23$	−1.61030	−	2.78912i	−0.335771	−	0.581572i	0.647862	−	0.761758i	$-0.275664\pi$
$23$	−1.61030	−	2.78912i	−0.335771	−	0.581572i	−0.983633	+	0.180186i	$0.942330\pi$
$24$	0.240111	−	4.89309i	0.0490125	−	0.998798i
$25$	0.686141	−	1.18843i	0.137228	−	0.237686i
$26$	−3.22060	+	0.939764i	−0.631612	+	0.184303i
$27$	−2.20979	−	4.70285i	−0.425274	−	0.905065i
$28$	1.37228	+	2.15121i	0.259337	+	0.406541i
$29$	2.18614	+	1.26217i	0.405956	+	0.234379i	0.689051	−	0.724713i	$-0.258028\pi$
$29$	2.18614	+	1.26217i	0.405956	+	0.234379i	−0.283095	+	0.959092i	$0.591361\pi$
$30$	−5.04374	−	3.57693i	−0.920856	−	0.653054i
$31$	7.04069	−	4.06494i	1.26455	−	0.730086i	0.290595	−	0.956846i	$-0.406147\pi$
$31$	7.04069	−	4.06494i	1.26455	−	0.730086i	0.973951	+	0.226761i	$0.0728135\pi$
$32$	−5.26916	+	2.05813i	−0.931466	+	0.363830i
$33$	0.127719	+	0.866025i	0.0222330	+	0.150756i
$34$	1.08843	+	0.265993i	0.186665	+	0.0456175i
$35$	3.22060			0.544381
$36$	−3.91157	+	4.54969i	−0.651928	+	0.758281i
$37$	−6.74456			−1.10880			−0.554400	−	0.832251i	$-0.687052\pi$
$37$	−6.74456			−1.10880			−0.554400	+	0.832251i	$0.687052\pi$
$38$	−6.46071	−	1.57888i	−1.04807	−	0.256128i
$39$	3.82009	+	1.51330i	0.611704	+	0.242322i
$40$	−1.38665	+	7.00396i	−0.219249	+	1.10742i
$41$	5.87228	−	3.39036i	0.917096	−	0.529486i	0.0343887	−	0.999409i	$-0.489052\pi$
$41$	5.87228	−	3.39036i	0.917096	−	0.529486i	0.882708	+	0.469923i	$0.155718\pi$
$42$	0.291034	−	3.11153i	0.0449075	−	0.480119i
$43$	−6.69391	−	3.86473i	−1.02081	−	0.589366i	−0.106473	−	0.994316i	$-0.533956\pi$
$43$	−6.69391	−	3.86473i	−1.02081	−	0.589366i	−0.914339	+	0.404950i	$0.867289\pi$
$44$	0.852189	−	0.543620i	0.128472	−	0.0819538i
$45$	2.18614	+	7.25061i	0.325891	+	1.08086i
$46$	4.37228	−	1.27582i	0.644658	−	0.188110i
$47$	−0.599485	+	1.03834i	−0.0874439	+	0.151457i	−0.906430	−	0.422356i	$-0.861203\pi$
$47$	−0.599485	+	1.03834i	−0.0874439	+	0.151457i	0.818986	+	0.573813i	$0.194537\pi$
$48$	6.64145	+	1.97261i	0.958610	+	0.284722i
$49$	−2.68614	−	4.65253i	−0.383734	−	0.664647i
$50$	1.40229	+	1.34160i	0.198314	+	0.189731i
$51$	−0.852189	−	1.07561i	−0.119330	−	0.150615i
$52$	−0.209786	−	4.73992i	−0.0290921	−	0.657309i
$53$		−	1.87953i		−	0.258173i	−0.991633	−	0.129086i	$-0.958796\pi$
$53$		−	1.87953i		−	0.258173i	0.991633	−	0.129086i	$-0.0412045\pi$
$54$	7.20260	−	1.45689i	0.980150	−	0.198258i
$55$		−	1.27582i		−	0.172032i
$56$	−3.41602	+	1.16300i	−0.456485	+	0.155412i
$57$	5.05842	+	6.38458i	0.670004	+	0.845659i
$58$	−2.46790	+	2.57954i	−0.324051	+	0.338711i
$59$	6.18850	+	10.7188i	0.805674	+	1.39547i	0.915835	+	0.401555i	$0.131530\pi$
$59$	6.18850	+	10.7188i	0.805674	+	1.39547i	−0.110161	+	0.993914i	$0.535137\pi$
$60$	6.60725	−	5.72814i	0.852993	−	0.739500i
$61$	1.18614	−	2.05446i	0.151870	−	0.263046i	−0.780045	−	0.625723i	$-0.784804\pi$
$61$	1.18614	−	2.05446i	0.151870	−	0.263046i	0.931915	+	0.362677i	$0.118137\pi$
$62$	3.22060	+	11.0371i	0.409017	+	1.40172i
$63$	−2.62112	+	2.78912i	−0.330230	+	0.351397i
$64$	−1.05842	−	7.92967i	−0.132303	−	0.991209i
$65$	−5.18614	−	2.99422i	−0.643262	−	0.371387i
$66$	−1.23261	−	0.115291i	−0.151724	−	0.0141914i
$67$	−6.69391	+	3.86473i	−0.817791	+	0.472152i	−0.849654	−	0.527340i	$-0.823189\pi$
$67$	−6.69391	+	3.86473i	−0.817791	+	0.472152i	0.0318630	+	0.999492i	$0.489856\pi$
$68$	−0.730835	+	1.40597i	−0.0886268	+	0.170499i
$69$	−5.18614	−	2.05446i	−0.624338	−	0.247327i
$70$	−1.08125	+	4.42442i	−0.129234	+	0.528819i
$71$	−11.8716			−1.40890			−0.704450	−	0.709754i	$-0.748806\pi$
$71$	−11.8716			−1.40890			−0.704450	+	0.709754i	$0.748806\pi$
$72$	−4.93707	−	6.90111i	−0.581839	−	0.813304i
$73$	3.37228			0.394696			0.197348	−	0.980334i	$-0.436767\pi$
$73$	3.37228			0.394696			0.197348	+	0.980334i	$0.436767\pi$
$74$	2.26434	−	9.26558i	0.263224	−	1.07710i
$75$	−0.346781	−	2.35143i	−0.0400428	−	0.271519i
$76$	4.33809	−	8.34556i	0.497613	−	0.957301i
$77$	0.558422	−	0.322405i	0.0636381	−	0.0367415i
$78$	−3.36147	+	4.73992i	−0.380611	+	0.536691i
$79$	8.55691	+	4.94034i	0.962728	+	0.555831i	0.897012	−	0.442007i	$-0.145733\pi$
$79$	8.55691	+	4.94034i	0.962728	+	0.555831i	0.0657165	+	0.997838i	$0.479067\pi$
$80$	−9.15640	−	4.25639i	−1.02372	−	0.475879i
$81$	−8.05842	−	4.00772i	−0.895380	−	0.445302i
$82$	2.68614	+	9.20550i	0.296635	+	1.01658i
$83$	3.82009	−	6.61659i	0.419309	−	0.726265i	−0.576561	−	0.817054i	$-0.695606\pi$
$83$	3.82009	−	6.61659i	0.419309	−	0.726265i	0.995870	+	0.0907894i	$0.0289390\pi$
$84$	4.17686	+	1.44445i	0.455733	+	0.157602i
$85$	1.00000	+	1.73205i	0.108465	+	0.187867i
$86$	7.55665	−	7.89850i	0.814854	−	0.851717i
$87$	4.32550	−	0.637910i	0.463742	−	0.0683912i
$88$	0.460714	+	1.35323i	0.0491122	+	0.144255i
$89$			11.9769i			1.26955i	0.772698	+	0.634773i	$0.218907\pi$
$89$			11.9769i			1.26955i	−0.772698	+	0.634773i	$0.781093\pi$
$90$	−10.6947	+	0.569054i	−1.12732	+	0.0599835i
$91$		−	3.02661i		−	0.317274i
$92$	0.284805	+	6.43491i	0.0296930	+	0.670885i
$93$	5.18614	−	13.0916i	0.537778	−	1.35753i
$94$	−1.22519	−	1.17216i	−0.126369	−	0.120899i
$95$	−5.93580	−	10.2811i	−0.609000	−	1.05482i
$96$	−4.93967	+	8.46166i	−0.504152	+	0.863615i
$97$	−5.24456	+	9.08385i	−0.532505	+	0.922325i	0.466775	+	0.884376i	$0.345416\pi$
$97$	−5.24456	+	9.08385i	−0.532505	+	0.922325i	−0.999280	+	0.0379490i	$0.987918\pi$
$98$	7.29339	−	2.12819i	0.736744	−	0.214980i
$99$	1.10489	+	1.03834i	0.111046	+	0.104357i
$100$	−2.31386	+	1.47603i	−0.231386	+	0.147603i
$101$	1.06930	+	0.617359i	0.106399	+	0.0614295i	0.552255	−	0.833675i	$-0.313767\pi$
$101$	1.06930	+	0.617359i	0.106399	+	0.0614295i	−0.445856	+	0.895105i	$0.647101\pi$
$102$	1.76376	−	0.809613i	0.174638	−	0.0801637i
$103$	0.411331	−	0.237482i	0.0405297	−	0.0233998i	−0.479598	−	0.877488i	$-0.659218\pi$
$103$	0.411331	−	0.237482i	0.0405297	−	0.0233998i	0.520128	+	0.854088i	$0.325884\pi$
$104$	6.58207	+	1.30312i	0.645425	+	0.127782i
$105$	4.37228	−	3.46410i	0.426691	−	0.338062i
$106$	2.58207	+	0.631011i	0.250793	+	0.0612892i
$107$	12.5652			1.21472			0.607360	−	0.794427i	$-0.292229\pi$
$107$	12.5652			1.21472			0.607360	+	0.794427i	$0.292229\pi$
$108$	−0.416661	+	10.3839i	−0.0400933	+	0.999196i
$109$	13.4891			1.29202			0.646012	−	0.763327i	$-0.276436\pi$
$109$	13.4891			1.29202			0.646012	+	0.763327i	$0.276436\pi$
$110$	1.75270	+	0.428329i	0.167114	+	0.0408396i
$111$	−9.15640	+	7.25450i	−0.869087	+	0.688566i
$112$	−0.450854	−	5.08333i	−0.0426017	−	0.480329i
$113$	−6.30298	+	3.63903i	−0.592935	+	0.342331i	−0.766257	−	0.642534i	$-0.777883\pi$
$113$	−6.30298	+	3.63903i	−0.592935	+	0.342331i	0.173322	+	0.984865i	$0.444550\pi$
$114$	−10.4693	+	4.80570i	−0.980540	+	0.450095i
$115$	7.04069	+	4.06494i	0.656548	+	0.379058i
$116$	−2.71519	−	4.25639i	−0.252099	−	0.395196i
$117$	6.81386	−	2.05446i	0.629942	−	0.189935i
$118$	−16.8030	+	4.90307i	−1.54684	+	0.451364i
$119$	−0.505408	+	0.875393i	−0.0463307	+	0.0802471i
$120$	5.65099	+	11.0000i	0.515863	+	1.00416i
$121$	5.37228	+	9.30506i	0.488389	+	0.845915i
$122$	2.42416	+	2.31924i	0.219473	+	0.209974i
$123$	4.32550	−	10.9190i	0.390017	−	0.984534i
$124$	−16.2439	+	0.718945i	−1.45874	+	0.0645632i
$125$		−	9.15759i		−	0.819080i
$126$	−2.95167	−	4.53724i	−0.262956	−	0.404210i
$127$		−	7.65492i		−	0.679265i	−0.940558	−	0.339632i	$-0.889697\pi$
$127$		−	7.65492i		−	0.679265i	0.940558	−	0.339632i	$-0.110303\pi$
$128$	11.2490	+	1.20817i	0.994282	+	0.106788i
$129$	−13.2446	+	1.95327i	−1.16612	+	0.171975i
$130$	5.85455	−	6.11940i	0.513478	−	0.536707i
$131$	−3.82009	−	6.61659i	−0.333763	−	0.578094i	0.649484	−	0.760375i	$-0.274985\pi$
$131$	−3.82009	−	6.61659i	−0.333763	−	0.578094i	−0.983246	+	0.182282i	$0.941652\pi$
$132$	0.572208	−	1.65464i	0.0498043	−	0.144018i
$133$	3.00000	−	5.19615i	0.260133	−	0.450564i
$134$	−3.06198	−	10.4935i	−0.264514	−	0.906500i
$135$	10.7667	+	7.49198i	0.926650	+	0.644807i
$136$	−1.68614	−	1.47603i	−0.144585	−	0.126569i
$137$	−4.75544	−	2.74555i	−0.406284	−	0.234568i	0.282908	−	0.959147i	$-0.408701\pi$
$137$	−4.75544	−	2.74555i	−0.406284	−	0.234568i	−0.689192	+	0.724579i	$0.742034\pi$
$138$	4.56352	−	6.43491i	0.388472	−	0.547776i
$139$	−13.3233	+	7.69219i	−1.13006	+	0.652443i	−0.943951	−	0.330085i	$-0.892923\pi$
$139$	−13.3233	+	7.69219i	−1.13006	+	0.652443i	−0.186114	+	0.982528i	$0.559589\pi$
$140$	−5.71519	−	2.97080i	−0.483022	−	0.251079i
$141$	0.302985	+	2.05446i	0.0255159	+	0.173016i
$142$	3.98563	−	16.3090i	0.334467	−	1.36862i
$143$	−1.19897			−0.100263
$144$	11.1382	−	4.46557i	0.928180	−	0.372131i
$145$	−6.37228			−0.529189
$146$	−1.13217	+	4.63279i	−0.0936991	+	0.383413i
$147$	−8.65099	−	3.42703i	−0.713522	−	0.282657i
$148$	11.9687	+	6.22144i	0.983823	+	0.511399i
$149$	−11.1861	+	6.45832i	−0.916404	+	0.529086i	−0.882486	−	0.470338i	$-0.844132\pi$
$149$	−11.1861	+	6.45832i	−0.916404	+	0.529086i	−0.0339182	+	0.999425i	$0.510799\pi$
$150$	3.34678	+	0.313038i	0.273264	+	0.0255594i
$151$	−2.62112	−	1.51330i	−0.213304	−	0.123151i	0.389542	−	0.921009i	$-0.372633\pi$
$151$	−2.62112	−	1.51330i	−0.213304	−	0.123151i	−0.602846	+	0.797858i	$0.705967\pi$
$152$	10.0086	+	8.76144i	0.811804	+	0.710647i
$153$	−2.31386	−	0.543620i	−0.187064	−	0.0439491i
$154$	0.255437	+	0.875393i	0.0205837	+	0.0705411i
$155$	−10.2613	+	17.7731i	−0.824207	+	1.42757i
$156$	−5.38310	−	6.20926i	−0.430993	−	0.497139i
$157$	−5.93070	−	10.2723i	−0.473322	−	0.819817i	0.526212	−	0.850353i	$-0.323612\pi$
$157$	−5.93070	−	10.2723i	−0.473322	−	0.819817i	−0.999534	+	0.0305363i	$0.990278\pi$
$158$	−9.65976	+	10.0968i	−0.768489	+	0.803255i
$159$	−2.02163	−	2.55164i	−0.160326	−	0.202358i
$160$	8.92143	−	11.1499i	0.705301	−	0.881480i
$161$			4.10891i			0.323828i
$162$	8.21119	−	9.72504i	0.645132	−	0.764071i
$163$			1.75079i			0.137132i	0.997647	+	0.0685660i	$0.0218424\pi$
$163$			1.75079i			0.137132i	−0.997647	+	0.0685660i	$0.978158\pi$
$164$	−13.5482	+	0.599636i	−1.05794	+	0.0468237i
$165$	−1.37228	−	1.73205i	−0.106832	−	0.134840i
$166$	7.80726	+	7.46936i	0.605961	+	0.579734i
$167$	8.74507	+	15.1469i	0.676714	+	1.17210i	0.975965	+	0.217928i	$0.0699299\pi$
$167$	8.74507	+	15.1469i	0.676714	+	1.17210i	−0.299251	+	0.954174i	$0.596737\pi$
$168$	−3.38665	+	5.25317i	−0.261286	+	0.405291i
$169$	3.68614	−	6.38458i	0.283549	−	0.491122i
$170$	−2.71519	+	0.792287i	−0.208246	+	0.0607656i
$171$	13.7346	+	3.22682i	1.05031	+	0.246761i
$172$	8.31386	+	13.0330i	0.633926	+	0.993754i
$173$	15.3030	+	8.83518i	1.16346	+	0.671726i	0.952132	−	0.305688i	$-0.0988864\pi$
$173$	15.3030	+	8.83518i	1.16346	+	0.671726i	0.211333	+	0.977414i	$0.432220\pi$
$174$	−0.575839	+	6.15647i	−0.0436543	+	0.466721i
$175$	−1.51622	+	0.875393i	−0.114616	+	0.0661735i
$176$	−2.01373	+	0.178603i	−0.151790	+	0.0134627i
$177$	19.9307	+	7.89542i	1.49808	+	0.593456i
$178$	−16.4537	−	4.02098i	−1.23325	−	0.301385i
$179$	−8.83915			−0.660669			−0.330334	−	0.943864i	$-0.607162\pi$
$179$	−8.83915			−0.660669			−0.330334	+	0.943864i	$0.607162\pi$
$180$	2.80877	−	14.8833i	0.209353	−	1.10934i
$181$	−4.00000			−0.297318			−0.148659	−	0.988889i	$-0.547496\pi$
$181$	−4.00000			−0.297318			−0.148659	+	0.988889i	$0.547496\pi$
$182$	4.15791	+	1.01612i	0.308205	+	0.0753196i
$183$	−0.599485	−	4.06494i	−0.0443152	−	0.300489i
$184$	−8.93580	−	1.76912i	−0.658756	−	0.130421i
$185$	14.7446	−	8.51278i	1.08404	−	0.625872i
$186$	16.2439	+	11.5199i	1.19106	+	0.844677i
$187$	0.346781	+	0.200214i	0.0253591	+	0.0146411i
$188$	2.02163	−	1.28962i	0.147443	−	0.0940552i
$189$	−0.558422	+	6.60580i	−0.0406192	+	0.480501i
$190$	16.1168	−	4.70285i	1.16924	−	0.341181i
$191$	7.54610	−	13.0702i	0.546017	−	0.945728i	−0.452526	−	0.891751i	$-0.649477\pi$
$191$	7.54610	−	13.0702i	0.546017	−	0.945728i	0.998542	−	0.0539770i	$-0.0171898\pi$
$192$	−9.96612	−	9.62686i	−0.719243	−	0.694759i
$193$	−3.87228	−	6.70699i	−0.278733	−	0.482780i	0.692337	−	0.721574i	$-0.256581\pi$
$193$	−3.87228	−	6.70699i	−0.278733	−	0.482780i	−0.971070	+	0.238795i	$0.923248\pi$
$194$	−10.7185	−	10.2546i	−0.769544	−	0.736238i
$195$	−10.2613	+	1.51330i	−0.734826	+	0.108370i
$196$	0.475083	+	10.7341i	0.0339345	+	0.766718i
$197$		−	23.9538i		−	1.70663i	−0.521392	−	0.853317i	$-0.674587\pi$
$197$		−	23.9538i		−	1.70663i	0.521392	−	0.853317i	$-0.325413\pi$
$198$	−1.79740	+	1.16929i	−0.127736	+	0.0830976i
$199$		−	12.9073i		−	0.914973i	−0.889217	−	0.457486i	$-0.848750\pi$
$199$		−	12.9073i		−	0.914973i	0.889217	−	0.457486i	$-0.151250\pi$
$200$	−1.25093	−	3.67429i	−0.0884539	−	0.259812i
$201$	−4.93070	+	12.4468i	−0.347785	+	0.877927i
$202$	−1.20711	+	1.26172i	−0.0849321	+	0.0887743i
$203$	−1.61030	−	2.78912i	−0.113021	−	0.195758i
$204$	0.520092	+	2.69483i	0.0364137	+	0.188676i
$205$	−8.55842	+	14.8236i	−0.597746	+	1.03533i
$206$	0.188154	+	0.644810i	0.0131093	+	0.0449261i
$207$	−9.25048	+	2.78912i	−0.642953	+	0.193857i
$208$	−4.00000	+	8.60485i	−0.277350	+	0.596639i
$209$	−2.05842	−	1.18843i	−0.142384	−	0.0822055i
$210$	3.29103	+	7.16957i	0.227103	+	0.494748i
$211$	15.1863	−	8.76780i	1.04547	−	0.603600i	0.124090	−	0.992271i	$-0.460399\pi$
$211$	15.1863	−	8.76780i	1.04547	−	0.603600i	0.921377	+	0.388671i	$0.127066\pi$
$212$	−1.73375	+	3.33536i	−0.119074	+	0.229073i
$213$	−16.1168	+	12.7692i	−1.10431	+	0.874929i
$214$	−4.21848	+	17.2618i	−0.288369	+	1.17999i
$215$	19.5118			1.33069
$216$	−14.1254	−	4.05859i	−0.961114	−	0.276152i
$217$	−10.3723			−0.704116
$218$	−4.52868	+	18.5312i	−0.306721	+	1.25509i
$219$	4.57820	−	3.62725i	0.309366	−	0.245107i
$220$	−1.17686	+	2.26404i	−0.0793442	+	0.152641i
$221$	1.62772	−	0.939764i	0.109492	−	0.0632154i
$222$	−6.89206	−	15.0145i	−0.462565	−	1.00771i
$223$	7.04069	+	4.06494i	0.471479	+	0.272209i	0.716859	−	0.697218i	$-0.245579\pi$
$223$	7.04069	+	4.06494i	0.471479	+	0.272209i	−0.245379	+	0.969427i	$0.578913\pi$
$224$	7.13477	+	1.08724i	0.476712	+	0.0726443i
$225$	−3.00000	−	2.81929i	−0.200000	−	0.187953i
$226$	−2.88316	−	9.88067i	−0.191785	−	0.657253i
$227$	7.19932	−	12.4696i	0.477835	−	0.827635i	−0.521842	−	0.853042i	$-0.674755\pi$
$227$	7.19932	−	12.4696i	0.477835	−	0.827635i	0.999677	+	0.0254070i	$0.00808817\pi$
$228$	−3.08716	−	15.9960i	−0.204452	−	1.05936i
$229$	−1.81386	−	3.14170i	−0.119863	−	0.207609i	0.799850	−	0.600200i	$-0.204912\pi$
$229$	−1.81386	−	3.14170i	−0.119863	−	0.207609i	−0.919713	+	0.392591i	$0.871579\pi$
$230$	−7.94812	+	8.30768i	−0.524084	+	0.547792i
$231$	0.411331	−	1.03834i	0.0270636	−	0.0683177i
$232$	6.75893	−	2.30110i	0.443746	−	0.151075i
$233$			4.84630i			0.317491i	0.987320	+	0.158746i	$0.0507450\pi$
$233$			4.84630i			0.317491i	−0.987320	+	0.158746i	$0.949255\pi$
$234$	0.534776	+	10.0505i	0.0349594	+	0.657023i
$235$		−	3.02661i		−	0.197434i
$236$	−1.09453	−	24.7298i	−0.0712477	−	1.60977i
$237$	16.9307	−	2.49689i	1.09977	−	0.162190i
$238$	−1.03292	−	0.988216i	−0.0669544	−	0.0640566i
$239$	−6.02987	−	10.4440i	−0.390040	−	0.675569i	0.602414	−	0.798184i	$-0.294206\pi$
$239$	−6.02987	−	10.4440i	−0.390040	−	0.675569i	−0.992454	+	0.122614i	$0.960872\pi$
$240$	−17.0089	+	4.07022i	−1.09792	+	0.262732i
$241$	3.24456	−	5.61975i	0.209001	−	0.362000i	−0.742399	−	0.669958i	$-0.766312\pi$
$241$	3.24456	−	5.61975i	0.209001	−	0.362000i	0.951400	+	0.307958i	$0.0996456\pi$
$242$	−14.5868	+	4.25639i	−0.937674	+	0.273611i
$243$	−15.2508	+	3.22682i	−0.978341	+	0.207001i
$244$	−4.00000	+	2.55164i	−0.256074	+	0.163352i
$245$	11.7446	+	6.78073i	0.750333	+	0.433205i
$246$	13.5482	+	9.60812i	0.863801	+	0.612592i
$247$	−9.66181	+	5.57825i	−0.614766	+	0.354935i
$248$	4.46585	−	22.5570i	0.283582	−	1.43237i
$249$	−1.93070	−	13.0916i	−0.122353	−	0.829645i
$250$	12.5806	+	3.07446i	0.795665	+	0.194446i
$251$	−11.1780			−0.705551			−0.352776	−	0.935708i	$-0.614762\pi$
$251$	−11.1780			−0.705551			−0.352776	+	0.935708i	$0.614762\pi$
$252$	7.22416	−	2.53169i	0.455079	−	0.159481i
$253$	1.62772			0.102334
$254$	10.5162	+	2.56997i	0.659847	+	0.161255i
$255$	3.22060	+	1.27582i	0.201682	+	0.0798950i
$256$	−5.43638	+	15.0481i	−0.339774	+	0.940507i
$257$	12.9891	−	7.49927i	0.810239	−	0.467792i	−0.0367996	−	0.999323i	$-0.511716\pi$
$257$	12.9891	−	7.49927i	0.810239	−	0.467792i	0.847039	+	0.531531i	$0.178383\pi$
$258$	1.76321	−	18.8510i	0.109772	−	1.17361i
$259$	7.45202	+	4.30243i	0.463046	+	0.267340i
$260$	6.44121	+	10.0974i	0.399467	+	0.626211i
$261$	5.18614	−	5.51856i	0.321014	−	0.341590i
$262$	10.3723	−	3.02661i	0.640802	−	0.186984i
$263$	−13.9873	+	24.2267i	−0.862494	+	1.49388i	0.00701993	+	0.999975i	$0.497765\pi$
$263$	−13.9873	+	24.2267i	−0.862494	+	1.49388i	−0.869514	+	0.493908i	$0.835568\pi$
$264$	2.08101	+	1.34160i	0.128077	+	0.0825698i
$265$	2.37228	+	4.10891i	0.145728	+	0.252408i
$266$	6.13121	+	5.86585i	0.375929	+	0.359658i
$267$	12.8824	+	16.2598i	0.788391	+	0.995082i
$268$	15.4438	−	0.683534i	0.943380	−	0.0417535i
$269$			21.4843i			1.30992i	0.755663	+	0.654961i	$0.227315\pi$
$269$			21.4843i			1.30992i	−0.755663	+	0.654961i	$0.772685\pi$
$270$	−13.9071	+	12.2759i	−0.846357	+	0.747086i
$271$			29.9679i			1.82042i	0.414146	+	0.910211i	$0.364080\pi$
$271$			29.9679i			1.82042i	−0.414146	+	0.910211i	$0.635920\pi$
$272$	2.59384	−	1.82085i	0.157275	−	0.110405i
$273$	−3.25544	−	4.10891i	−0.197028	−	0.248683i
$274$	5.36834	−	5.61119i	0.324313	−	0.338984i
$275$	0.346781	+	0.600642i	0.0209117	+	0.0362201i
$276$	7.30808	+	8.42967i	0.439895	+	0.507407i
$277$	−3.18614	+	5.51856i	−0.191437	+	0.331578i	−0.945727	−	0.324963i	$-0.894648\pi$
$277$	−3.18614	+	5.51856i	−0.191437	+	0.331578i	0.754290	+	0.656541i	$0.227981\pi$
$278$	−6.09442	−	20.8858i	−0.365519	−	1.25265i
$279$	−7.04069	−	23.3513i	−0.421515	−	1.39801i
$280$	6.00000	−	6.85407i	0.358569	−	0.409609i
$281$	−19.9307	−	11.5070i	−1.18897	−	0.686450i	−0.230894	−	0.972979i	$-0.574165\pi$
$281$	−19.9307	−	11.5070i	−1.18897	−	0.686450i	−0.958072	+	0.286529i	$0.907499\pi$
$282$	−2.92410	−	0.273503i	−0.174128	−	0.0162869i
$283$	8.55691	−	4.94034i	0.508656	−	0.293673i	−0.223625	−	0.974675i	$-0.571789\pi$
$283$	8.55691	−	4.94034i	0.508656	−	0.293673i	0.732281	+	0.681003i	$0.238456\pi$
$284$	21.0670	+	10.9508i	1.25010	+	0.649811i
$285$	−19.1168	−	7.57301i	−1.13238	−	0.448587i
$286$	0.402528	−	1.64713i	0.0238020	−	0.0973967i
$287$	−8.65099			−0.510652
$288$	2.39534	+	16.8007i	0.141147	+	0.989989i
$289$	16.3723			0.963075
$290$	2.13936	−	8.75415i	0.125627	−	0.514061i
$291$	2.65064	+	17.9733i	0.155384	+	1.05361i
$292$	−5.98436	−	3.11072i	−0.350208	−	0.182041i
$293$	−20.1861	+	11.6545i	−1.17929	+	0.680862i	−0.955850	−	0.293857i	$-0.905061\pi$
$293$	−20.1861	+	11.6545i	−1.17929	+	0.680862i	−0.223437	+	0.974718i	$0.571728\pi$
$294$	7.61239	−	10.7341i	0.443964	−	0.626023i
$295$	−27.0579	−	15.6219i	−1.57537	−	0.909540i
$296$	−12.5652	+	14.3537i	−0.730335	+	0.834294i
$297$	2.61684	+	0.221215i	0.151845	+	0.0128362i
$298$	−5.11684	−	17.5356i	−0.296411	−	1.01581i
$299$	3.82009	−	6.61659i	0.220921	−	0.382647i
$300$	−1.55366	+	4.49266i	−0.0897004	+	0.259384i
$301$	4.93070	+	8.54023i	0.284201	+	0.492251i
$302$	2.95894	−	3.09279i	0.170268	−	0.177970i
$303$	2.11571	−	0.312018i	0.121544	−	0.0179250i
$304$	−15.3965	+	10.8082i	−0.883050	+	0.619892i
$305$			5.98844i			0.342897i
$306$	1.52365	−	2.99624i	0.0871010	−	0.171284i
$307$		−	1.20128i		−	0.0685609i	−0.999412	−	0.0342805i	$-0.989086\pi$
$307$		−	1.20128i		−	0.0685609i	0.999412	−	0.0342805i	$-0.0109140\pi$
$308$	−1.28836	+	0.0570221i	−0.0734111	+	0.00324913i
$309$	0.302985	−	0.764836i	0.0172362	−	0.0435100i
$310$	−20.9714	−	20.0637i	−1.19110	−	1.13954i
$311$	9.56773	+	16.5718i	0.542536	+	0.939700i	0.998758	+	0.0498340i	$0.0158692\pi$
$311$	9.56773	+	16.5718i	0.542536	+	0.939700i	−0.456221	+	0.889866i	$0.650797\pi$
$312$	10.3374	−	5.31060i	0.585243	−	0.300653i
$313$	9.24456	−	16.0121i	0.522534	−	0.905055i	−0.477123	−	0.878837i	$-0.658320\pi$
$313$	9.24456	−	16.0121i	0.522534	−	0.905055i	0.999656	−	0.0262180i	$-0.00834640\pi$
$314$	16.1030	−	4.69882i	0.908746	−	0.265170i
$315$	2.20979	−	9.40571i	0.124507	−	0.529952i
$316$	−10.6277	−	16.6602i	−0.597856	−	0.937210i
$317$	−28.1644	−	16.2607i	−1.58187	−	0.913293i	−0.994587	−	0.103911i	$-0.966864\pi$
$317$	−28.1644	−	16.2607i	−1.58187	−	0.913293i	−0.587283	−	0.809381i	$-0.699803\pi$
$318$	4.18413	−	1.92063i	0.234634	−	0.107704i
$319$	−1.10489	+	0.637910i	−0.0618621	+	0.0357161i
$320$	12.3224	+	15.9995i	0.688846	+	0.894398i
$321$	17.0584	−	13.5152i	0.952108	−	0.754343i
$322$	−5.64476	−	1.37948i	−0.314570	−	0.0768753i
$323$	3.72601			0.207321
$324$	10.6034	+	14.5454i	0.589077	+	0.808077i
$325$	3.25544			0.180579
$326$	−2.40520	−	0.587788i	−0.133212	−	0.0325546i
$327$	18.3128	−	14.5090i	1.01270	−	0.802349i
$328$	3.72474	−	18.8136i	0.205664	−	1.03881i
$329$	1.32473	−	0.764836i	0.0730350	−	0.0421667i
$330$	2.84018	−	1.30372i	0.156347	−	0.0717675i
$331$	−24.0254	−	13.8711i	−1.32056	−	0.762424i	−0.336739	−	0.941598i	$-0.609324\pi$
$331$	−24.0254	−	13.8711i	−1.32056	−	0.762424i	−0.983817	+	0.179174i	$0.942657\pi$
$332$	−12.8824	+	8.21782i	−0.707014	+	0.451012i
$333$	−4.62772	+	19.6974i	−0.253597	+	1.07941i
$334$	−23.7446	+	6.92860i	−1.29924	+	0.379116i
$335$	9.75588	−	16.8977i	0.533021	−	0.923219i
$336$	−6.07974	−	6.41617i	−0.331677	−	0.350031i
$337$	7.87228	+	13.6352i	0.428830	+	0.742756i	0.996770	−	0.0803144i	$-0.0255924\pi$
$337$	7.87228	+	13.6352i	0.428830	+	0.742756i	−0.567939	+	0.823071i	$0.692259\pi$
$338$	7.53351	+	7.20745i	0.409769	+	0.392034i
$339$	−4.64275	+	11.7199i	−0.252160	+	0.636536i
$340$	−0.176865	−	3.99609i	−0.00959184	−	0.216718i
$341$			4.10891i			0.222510i
$342$	−9.04405	+	17.7851i	−0.489046	+	0.961706i
$343$			15.7848i			0.852300i
$344$	−20.6957	+	7.04593i	−1.11584	+	0.379891i
$345$	13.9307	−	2.05446i	0.750004	−	0.110608i
$346$	−17.2753	+	18.0568i	−0.928725	+	0.970739i
$347$	−3.47331	−	6.01594i	−0.186457	−	0.322953i	0.757610	−	0.652708i	$-0.226367\pi$
$347$	−3.47331	−	6.01594i	−0.186457	−	0.322953i	−0.944066	+	0.329755i	$0.893034\pi$
$348$	−8.26434	−	2.85798i	−0.443015	−	0.153204i
$349$	2.81386	−	4.87375i	0.150622	−	0.260886i	−0.780834	−	0.624739i	$-0.785206\pi$
$349$	2.81386	−	4.87375i	0.150622	−	0.260886i	0.931456	+	0.363853i	$0.118539\pi$
$350$	−0.693562	−	2.37686i	−0.0370725	−	0.127049i
$351$	7.04069	−	10.1182i	0.375804	−	0.540067i
$352$	0.430703	−	2.82639i	0.0229566	−	0.150647i
$353$	7.24456	+	4.18265i	0.385589	+	0.222620i	0.680247	−	0.732983i	$-0.261872\pi$
$353$	7.24456	+	4.18265i	0.385589	+	0.222620i	−0.294658	+	0.955603i	$0.595206\pi$
$354$	−17.5379	+	24.7298i	−0.932130	+	1.31437i
$355$	25.9530	−	14.9840i	1.37744	−	0.795266i
$356$	11.0479	−	21.2538i	0.585539	−	1.12645i
$357$	0.255437	+	1.73205i	0.0135192	+	0.0916698i
$358$	2.96755	−	12.1431i	0.156840	−	0.641782i
$359$	1.38712			0.0732096			0.0366048	−	0.999330i	$-0.488346\pi$
$359$	1.38712			0.0732096			0.0366048	+	0.999330i	$0.488346\pi$
$360$	19.5035	+	8.85539i	1.02792	+	0.466720i
$361$	−3.11684			−0.164044
$362$	1.34291	−	5.49514i	0.0705820	−	0.288818i
$363$	17.3020	+	6.85407i	0.908119	+	0.359745i
$364$	−2.79185	+	5.37093i	−0.146333	+	0.281513i
$365$	−7.37228	+	4.25639i	−0.385883	+	0.222790i
$366$	5.78563	+	0.541153i	0.302420	+	0.0282865i
$367$	5.52447	+	3.18955i	0.288375	+	0.166493i	0.637209	−	0.770691i	$-0.280089\pi$
$367$	5.52447	+	3.18955i	0.288375	+	0.166493i	−0.348834	+	0.937185i	$0.613422\pi$
$368$	5.43039	−	11.6819i	0.283079	−	0.608962i
$369$	−5.87228	−	19.4762i	−0.305699	−	1.01389i
$370$	6.74456	+	23.1138i	0.350633	+	1.20163i
$371$	−1.19897	+	2.07668i	−0.0622474	+	0.107816i
$372$	−21.2793	+	18.4481i	−1.10328	+	0.956487i
$373$	9.93070	+	17.2005i	0.514192	+	0.890607i	0.999864	+	0.0164662i	$0.00524158\pi$
$373$	9.93070	+	17.2005i	0.514192	+	0.890607i	−0.485672	+	0.874141i	$0.661425\pi$
$374$	−0.391475	+	0.409185i	−0.0202427	+	0.0211585i
$375$	−9.84996	−	12.4323i	−0.508650	−	0.642002i
$376$	1.09294	+	3.21025i	0.0563642	+	0.165556i
$377$			5.98844i			0.308420i
$378$	−8.88747	−	2.98491i	−0.457122	−	0.153527i
$379$		−	6.45364i		−	0.331501i	−0.986168	−	0.165751i	$-0.946995\pi$
$379$		−	6.45364i		−	0.331501i	0.986168	−	0.165751i	$-0.0530047\pi$
$380$	1.04983	+	23.7200i	0.0538553	+	1.21681i
$381$	−8.23369	−	10.3923i	−0.421825	−	0.532414i
$382$	15.4222	+	14.7548i	0.789071	+	0.754919i
$383$	4.32550	+	7.49198i	0.221023	+	0.382822i	0.955119	−	0.296223i	$-0.0957272\pi$
$383$	4.32550	+	7.49198i	0.221023	+	0.382822i	−0.734096	+	0.679045i	$0.762394\pi$
$384$	16.5711	−	10.4593i	0.845643	−	0.533749i
$385$	−0.813859	+	1.40965i	−0.0414781	+	0.0718422i
$386$	10.5140	−	3.06796i	0.535148	−	0.156155i
$387$	−15.8798	+	16.8977i	−0.807217	+	0.858958i
$388$	17.6861	−	11.2822i	0.897878	−	0.572766i
$389$	27.3030	+	15.7634i	1.38432	+	0.799235i	0.992667	−	0.120879i	$-0.0385714\pi$
$389$	27.3030	+	15.7634i	1.38432	+	0.799235i	0.391649	+	0.920115i	$0.371905\pi$
$390$	1.36605	−	14.6049i	0.0691728	−	0.739547i
$391$	−2.20979	+	1.27582i	−0.111754	+	0.0645210i
$392$	−14.9058	−	2.95106i	−0.752856	−	0.149051i
$393$	−12.3030	−	4.87375i	−0.620603	−	0.245848i
$394$	32.9073	+	8.04195i	1.65785	+	0.405148i
$395$	−24.9422			−1.25498
$396$	−1.00291	−	2.86180i	−0.0503982	−	0.143811i
$397$	−18.7446			−0.940763			−0.470381	−	0.882463i	$-0.655884\pi$
$397$	−18.7446			−0.940763			−0.470381	+	0.882463i	$0.655884\pi$
$398$	17.7318	+	4.33334i	0.888816	+	0.217211i
$399$	−1.51622	−	10.2811i	−0.0759062	−	0.514699i
$400$	5.46766	−	0.484942i	0.273383	−	0.0242471i
$401$	3.98913	−	2.30312i	0.199207	−	0.115012i	−0.397078	−	0.917785i	$-0.629976\pi$
$401$	3.98913	−	2.30312i	0.199207	−	0.115012i	0.596286	+	0.802772i	$0.296643\pi$
$402$	−15.4438	−	10.9525i	−0.770267	−	0.546259i
$403$	16.7025	+	9.64319i	0.832011	+	0.480362i
$404$	−1.32807	−	2.08191i	−0.0660740	−	0.103579i
$405$	22.6753	−	1.40965i	1.12674	−	0.0700459i
$406$	4.37228	−	1.27582i	0.216993	−	0.0633179i
$407$	1.70438	−	2.95207i	0.0844829	−	0.146329i
$408$	−3.87673	−	0.190237i	−0.191927	−	0.00941813i
$409$	−6.87228	−	11.9031i	−0.339812	−	0.588572i	0.644585	−	0.764533i	$-0.277030\pi$
$409$	−6.87228	−	11.9031i	−0.339812	−	0.588572i	−0.984397	+	0.175960i	$0.943697\pi$
$410$	−17.4912	−	16.7341i	−0.863827	−	0.826441i
$411$	−9.40910	+	1.38762i	−0.464117	+	0.0684465i
$412$	−0.948999	+	0.0420022i	−0.0467538	+	0.00206930i
$413$		−	15.7908i		−	0.777016i
$414$	−0.726011	−	13.6446i	−0.0356815	−	0.670593i
$415$			19.2864i			0.946731i
$416$	−10.4783	−	8.38403i	−0.513741	−	0.411061i
$417$	−9.81386	+	24.7735i	−0.480587	+	1.21316i
$418$	2.32372	−	2.42884i	0.113657	−	0.118798i
$419$	−13.4819	−	23.3513i	−0.658634	−	1.14079i	−0.980970	−	0.194162i	$-0.937801\pi$
$419$	−13.4819	−	23.3513i	−0.658634	−	1.14079i	0.322336	−	0.946625i	$-0.395532\pi$
$420$	−10.9543	+	2.11415i	−0.534518	+	0.103160i
$421$	5.30298	−	9.18504i	0.258452	−	0.447651i	−0.707376	−	0.706838i	$-0.750121\pi$
$421$	5.30298	−	9.18504i	0.258452	−	0.447651i	0.965827	+	0.259186i	$0.0834544\pi$
$422$	6.94661	+	23.8063i	0.338156	+	1.15887i
$423$	2.62112	+	2.46323i	0.127443	+	0.119766i
$424$	−4.00000	−	3.50157i	−0.194257	−	0.170051i
$425$	−0.941578	−	0.543620i	−0.0456732	−	0.0263695i
$426$	−12.1312	−	26.4281i	−0.587759	−	1.28044i
$427$	−2.62112	+	1.51330i	−0.126845	+	0.0732339i
$428$	−22.2978	−	11.5906i	−1.07780	−	0.560251i
$429$	−1.62772	+	1.28962i	−0.0785870	+	0.0622635i
$430$	−6.55065	+	26.8050i	−0.315901	+	1.29265i
$431$	31.1952			1.50262			0.751310	−	0.659949i	$-0.229422\pi$
$431$	31.1952			1.50262			0.751310	+	0.659949i	$0.229422\pi$
$432$	10.3179	−	18.0427i	0.496422	−	0.868081i
$433$	−8.62772			−0.414622			−0.207311	−	0.978275i	$-0.566471\pi$
$433$	−8.62772			−0.414622			−0.207311	+	0.978275i	$0.566471\pi$
$434$	3.48227	−	14.2493i	0.167154	−	0.683988i
$435$	−8.65099	+	6.85407i	−0.414783	+	0.328627i
$436$	−23.9374	−	12.4429i	−1.14640	−	0.595906i
$437$	13.1168	−	7.57301i	0.627464	−	0.362266i
$438$	3.44603	+	7.50723i	0.164658	+	0.358710i
$439$	−5.65357	−	3.26409i	−0.269830	−	0.155786i	0.358980	−	0.933345i	$-0.383124\pi$
$439$	−5.65357	−	3.26409i	−0.269830	−	0.155786i	−0.628810	+	0.777559i	$0.716458\pi$
$440$	−2.71519	−	2.37686i	−0.129442	−	0.113312i
$441$	−15.4307	+	4.65253i	−0.734795	+	0.221549i
$442$	0.744563	+	2.55164i	0.0354152	+	0.121369i
$443$	−6.18850	+	10.7188i	−0.294025	+	0.509265i	−0.974758	−	0.223266i	$-0.928328\pi$
$443$	−6.18850	+	10.7188i	−0.294025	+	0.509265i	0.680733	+	0.732532i	$0.261661\pi$
$444$	22.9405	−	4.42743i	1.08871	−	0.210116i
$445$	−15.1168	−	26.1831i	−0.716607	−	1.24120i
$446$	−7.94812	+	8.30768i	−0.376354	+	0.393380i
$447$	−8.23966	+	20.7997i	−0.389723	+	0.983791i
$448$	−3.88898	+	9.43662i	−0.183737	+	0.445838i
$449$		−	19.4024i		−	0.915657i	−0.889041	−	0.457828i	$-0.848627\pi$
$449$		−	19.4024i		−	0.915657i	0.889041	−	0.457828i	$-0.151373\pi$
$450$	4.88029	−	3.17484i	0.230059	−	0.149663i
$451$			3.42703i			0.161373i
$452$	14.5419	−	0.643616i	0.683993	−	0.0302731i
$453$	−5.18614	+	0.764836i	−0.243666	+	0.0359351i
$454$	14.7135	+	14.0767i	0.690540	+	0.660653i
$455$	3.82009	+	6.61659i	0.179088	+	0.310190i
$456$	23.0115	+	1.12921i	1.07761	+	0.0528800i
$457$	−19.9891	+	34.6222i	−0.935052	+	1.61956i	−0.160510	+	0.987034i	$0.551314\pi$
$457$	−19.9891	+	34.6222i	−0.935052	+	1.61956i	−0.774541	+	0.632523i	$0.782019\pi$
$458$	4.92498	−	1.43710i	0.230129	−	0.0671511i
$459$	−3.72601	+	1.75079i	−0.173915	+	0.0817196i
$460$	−8.74456	−	13.7081i	−0.407717	−	0.639145i
$461$	0.302985	+	0.174928i	0.0141114	+	0.00814722i	0.507039	−	0.861923i	$-0.330740\pi$
$461$	0.302985	+	0.174928i	0.0141114	+	0.00814722i	−0.492928	+	0.870070i	$0.664073\pi$
$462$	1.28836	+	0.913680i	0.0599399	+	0.0425083i
$463$	−4.13734	+	2.38870i	−0.192279	+	0.111012i	−0.593049	−	0.805167i	$-0.702076\pi$
$463$	−4.13734	+	2.38870i	−0.192279	+	0.111012i	0.400770	+	0.916179i	$0.368743\pi$
$464$	0.892059	+	10.0579i	0.0414128	+	0.466925i
$465$	5.18614	+	35.1658i	0.240502	+	1.63077i
$466$	−6.65777	−	1.62704i	−0.308415	−	0.0753711i
$467$	−5.11313			−0.236608			−0.118304	−	0.992977i	$-0.537746\pi$
$467$	−5.11313			−0.236608			−0.118304	+	0.992977i	$0.537746\pi$
$468$	−13.9868	−	2.63958i	−0.646540	−	0.122014i
$469$	9.86141			0.455357
$470$	4.15791	+	1.01612i	0.191790	+	0.0468700i
$471$	−19.1004	−	7.56651i	−0.880102	−	0.348647i
$472$	34.3409	+	6.79885i	1.58067	+	0.312942i
$473$	3.38316	−	1.95327i	0.155558	−	0.0898113i
$474$	−2.25393	+	24.0974i	−0.103526	+	1.10683i
$475$	5.58902	+	3.22682i	0.256442	+	0.148057i
$476$	1.70438	−	1.08724i	0.0781201	−	0.0498336i
$477$	−5.48913	−	1.28962i	−0.251330	−	0.0590477i
$478$	16.3723	−	4.77739i	0.748851	−	0.218513i
$479$	−6.53528	+	11.3194i	−0.298605	+	0.517198i	−0.975817	−	0.218589i	$-0.929855\pi$
$479$	−6.53528	+	11.3194i	−0.298605	+	0.517198i	0.677212	+	0.735788i	$0.263188\pi$
$480$	0.118757	−	24.7331i	0.00542049	−	1.12891i
$481$	−8.00000	−	13.8564i	−0.364769	−	0.631798i
$482$	6.63104	+	6.34404i	0.302035	+	0.288963i
$483$	4.41957	+	5.57825i	0.201098	+	0.253819i
$484$	−0.950167	−	21.4681i	−0.0431894	−	0.975823i
$485$		−	26.4781i		−	1.20231i
$486$	0.687175	−	22.0347i	0.0311709	−	0.999514i
$487$		−	42.8752i		−	1.94286i	−0.237325	−	0.971430i	$-0.576271\pi$
$487$		−	42.8752i		−	1.94286i	0.237325	−	0.971430i	$-0.423729\pi$
$488$	−2.16249	−	6.35180i	−0.0978915	−	0.287532i
$489$	1.88316	+	2.37686i	0.0851593	+	0.107485i
$490$	−13.2582	+	13.8580i	−0.598946	+	0.626042i
$491$	6.88206	+	11.9201i	0.310583	+	0.537946i	0.978489	−	0.206300i	$-0.0661423\pi$
$491$	6.88206	+	11.9201i	0.310583	+	0.537946i	−0.667906	+	0.744246i	$0.732809\pi$
$492$	−17.7480	+	15.3866i	−0.800142	+	0.693681i
$493$	1.00000	−	1.73205i	0.0450377	−	0.0780076i
$494$	−4.41957	−	15.1460i	−0.198846	−	0.681452i
$495$	−3.72601	−	0.875393i	−0.167472	−	0.0393460i
$496$	29.4891	+	13.7081i	1.32410	+	0.615513i
$497$	13.1168	+	7.57301i	0.588371	+	0.339696i
$498$	18.6332	+	1.74284i	0.834974	+	0.0780985i
$499$	2.96790	−	1.71352i	0.132861	−	0.0767076i	−0.432096	−	0.901828i	$-0.642226\pi$
$499$	2.96790	−	1.71352i	0.132861	−	0.0767076i	0.564958	+	0.825120i	$0.308893\pi$
$500$	−8.44730	+	16.2508i	−0.377775	+	0.726758i
$501$	28.1644	+	11.1571i	1.25829	+	0.498464i
$502$	3.75278	−	15.3562i	0.167495	−	0.685382i
$503$	19.3236			0.861597			0.430799	−	0.902448i	$-0.358232\pi$
$503$	19.3236			0.861597			0.430799	+	0.902448i	$0.358232\pi$
$504$	1.05264	+	10.7744i	0.0468884	+	0.479930i
$505$	−3.11684			−0.138698
$506$	−0.546471	+	2.23614i	−0.0242936	+	0.0994084i
$507$	−1.86301	−	12.6325i	−0.0827390	−	0.561030i
$508$	−7.06119	+	13.5842i	−0.313290	+	0.602702i
$509$	12.8139	−	7.39809i	0.567964	−	0.327914i	−0.188372	−	0.982098i	$-0.560321\pi$
$509$	12.8139	−	7.39809i	0.567964	−	0.327914i	0.756336	+	0.654183i	$0.226988\pi$
$510$	−2.83395	+	3.99609i	−0.125489	+	0.176950i
$511$	−3.72601	−	2.15121i	−0.164829	−	0.0951641i
$512$	−18.8477	−	12.5205i	−0.832960	−	0.553333i
$513$	22.1168	−	10.3923i	0.976483	−	0.458831i
$514$	5.94158	+	20.3620i	0.262072	+	0.898129i
$515$	−0.599485	+	1.03834i	−0.0264165	+	0.0457547i
$516$	25.3052	+	8.75107i	1.11400	+	0.385244i
$517$	−0.302985	−	0.524785i	−0.0133252	−	0.0230800i
$518$	−8.41247	+	8.79303i	−0.369623	+	0.386344i
$519$	30.2785	−	4.46537i	1.32908	−	0.196008i
$520$	−16.0341	+	5.45887i	−0.703141	+	0.239387i
$521$			26.0357i			1.14064i	0.821421	+	0.570322i	$0.193181\pi$
$521$			26.0357i			1.14064i	−0.821421	+	0.570322i	$0.806819\pi$
$522$	5.84018	+	8.97738i	0.255618	+	0.392929i
$523$		−	9.40571i		−	0.411283i	−0.978627	−	0.205641i	$-0.934072\pi$
$523$		−	9.40571i		−	0.411283i	0.978627	−	0.205641i	$-0.0659281\pi$
$524$	0.675639	+	15.2654i	0.0295154	+	0.666872i
$525$	−1.11684	+	2.81929i	−0.0487431	+	0.123044i
$526$	−28.5864	−	27.3492i	−1.24643	−	1.19248i
$527$	−3.22060	−	5.57825i	−0.140292	−	0.242992i
$528$	−2.54172	+	2.40845i	−0.110614	+	0.104814i
$529$	6.31386	−	10.9359i	0.274516	−	0.475475i
$530$	−6.44121	+	1.87953i	−0.279788	+	0.0816415i
$531$	35.5502	−	10.7188i	1.54275	−	0.465156i
$532$	−10.1168	+	6.45364i	−0.438621	+	0.279801i
$533$	13.9307	+	8.04290i	0.603406	+	0.348376i
$534$	−26.6624	+	12.2388i	−1.15380	+	0.529625i
$535$	−27.4692	+	15.8593i	−1.18760	+	0.685659i
$536$	−4.24589	+	21.4460i	−0.183395	+	0.926324i
$537$	−12.0000	+	9.50744i	−0.517838	+	0.410276i
$538$	−29.5149	−	7.21290i	−1.27248	−	0.310970i
$539$	2.71519			0.116952
$540$	−12.1954	−	23.2267i	−0.524807	−	0.999517i
$541$	−8.97825			−0.386005			−0.193003	−	0.981198i	$-0.561823\pi$
$541$	−8.97825			−0.386005			−0.193003	+	0.981198i	$0.561823\pi$
$542$	−41.1695	−	10.0611i	−1.76838	−	0.432160i
$543$	−5.43039	+	4.30243i	−0.233040	+	0.184635i
$544$	1.63063	+	4.17469i	0.0699127	+	0.178988i
$545$	−29.4891	+	17.0256i	−1.26318	+	0.729295i
$546$	6.73771	−	3.09279i	0.288347	−	0.132359i
$547$	19.2591	+	11.1192i	0.823458	+	0.475424i	0.851608	−	0.524180i	$-0.175628\pi$
$547$	19.2591	+	11.1192i	0.823458	+	0.475424i	−0.0281494	+	0.999604i	$0.508961\pi$
$548$	5.90627	+	9.25878i	0.252303	+	0.395515i
$549$	−5.18614	−	4.87375i	−0.221339	−	0.208006i
$550$	−0.941578	+	0.274750i	−0.0401490	+	0.0117154i
$551$	−5.93580	+	10.2811i	−0.252873	+	0.437990i
$552$	−14.0341	+	7.20965i	−0.597331	+	0.306863i
$553$	−6.30298	−	10.9171i	−0.268030	−	0.464242i
$554$	−6.51164	−	6.22981i	−0.276653	−	0.264679i
$555$	10.8608	−	27.4163i	0.461014	−	1.16376i
$556$	30.7387	−	1.36048i	1.30361	−	0.0576971i
$557$			7.22316i			0.306055i	0.988222	+	0.153027i	$0.0489023\pi$
$557$			7.22316i			0.306055i	−0.988222	+	0.153027i	$0.951098\pi$
$558$	34.4435	−	1.83270i	1.45811	−	0.0775842i
$559$		−	18.3365i		−	0.775549i
$560$	7.40165	+	10.5438i	0.312777	+	0.445558i
$561$	0.686141	−	0.101190i	0.0289689	−	0.00427224i
$562$	22.4994	−	23.5173i	0.949082	−	0.992017i
$563$	−7.89288	−	13.6709i	−0.332645	−	0.576158i	0.650384	−	0.759605i	$-0.274608\pi$
$563$	−7.89288	−	13.6709i	−0.332645	−	0.576158i	−0.983030	+	0.183447i	$0.941274\pi$
$564$	1.35744	−	3.92527i	0.0571585	−	0.165284i
$565$	9.18614	−	15.9109i	0.386464	−	0.669375i
$566$	3.91416	+	13.4140i	0.164525	+	0.563831i
$567$	6.34713	+	9.56866i	0.266554	+	0.401846i
$568$	−22.1168	+	25.2651i	−0.928002	+	1.06010i
$569$	−21.9891	−	12.6954i	−0.921832	−	0.532220i	−0.0376130	−	0.999292i	$-0.511975\pi$
$569$	−21.9891	−	12.6954i	−0.921832	−	0.532220i	−0.884219	+	0.467072i	$0.845309\pi$
$570$	16.8218	−	23.7200i	0.704586	−	0.993520i
$571$	−3.66146	+	2.11395i	−0.153227	+	0.0884659i	−0.574653	−	0.818397i	$-0.694863\pi$
$571$	−3.66146	+	2.11395i	−0.153227	+	0.0884659i	0.421426	+	0.906863i	$0.361530\pi$
$572$	2.12766	+	1.10597i	0.0889619	+	0.0462431i
$573$	−3.81386	−	25.8607i	−0.159326	−	1.08035i
$574$	2.90438	−	11.8846i	0.121227	−	0.496054i
$575$	−4.41957			−0.184309
$576$	−23.8847	−	2.34977i	−0.995196	−	0.0979071i
$577$	31.8397			1.32550			0.662751	−	0.748840i	$-0.269389\pi$
$577$	31.8397			1.32550			0.662751	+	0.748840i	$0.269389\pi$
$578$	−5.49664	+	22.4920i	−0.228630	+	0.935544i
$579$	−12.4711	−	4.94034i	−0.518280	−	0.205313i
$580$	11.3081	+	5.87803i	0.469542	+	0.244072i
$581$	−8.44158	+	4.87375i	−0.350216	+	0.202197i
$582$	−25.5813	−	2.39273i	−1.06038	−	0.0991817i
$583$	0.822662	+	0.474964i	0.0340712	+	0.0196710i
$584$	6.28258	−	7.17687i	0.259975	−	0.296981i
$585$	−12.3030	+	13.0916i	−0.508666	+	0.541270i
$586$	−9.23369	−	31.6442i	−0.381440	−	1.30721i
$587$	1.95708	−	3.38977i	0.0807774	−	0.139911i	−0.822807	−	0.568321i	$-0.807593\pi$
$587$	1.95708	−	3.38977i	0.0807774	−	0.139911i	0.903584	+	0.428411i	$0.140926\pi$
$588$	12.1906	+	14.0615i	0.502732	+	0.579887i
$589$	19.1168	+	33.1113i	0.787696	+	1.36433i
$590$	30.5452	−	31.9270i	1.25753	−	1.31441i
$591$	−25.7648	−	32.5196i	−1.05982	−	1.33768i
$592$	−15.5005	−	22.0808i	−0.637066	−	0.907515i
$593$		−	8.80773i		−	0.361690i	−0.983512	−	0.180845i	$-0.942117\pi$
$593$		−	8.80773i		−	0.361690i	0.983512	−	0.180845i	$-0.0578833\pi$
$594$	−1.18245	+	3.52071i	−0.0485165	+	0.144457i
$595$		−	2.55164i		−	0.104607i
$596$	25.8080	−	1.14225i	1.05714	−	0.0467883i
$597$	−13.8832	−	17.5229i	−0.568200	−	0.717164i
$598$	7.80726	+	7.46936i	0.319263	+	0.305445i
$599$	−0.0940770	−	0.162946i	−0.00384388	−	0.00665780i	0.864097	−	0.503325i	$-0.167890\pi$
$599$	−0.0940770	−	0.162946i	−0.00384388	−	0.00665780i	−0.867941	+	0.496667i	$0.834557\pi$
$600$	−5.65035	−	3.64270i	−0.230675	−	0.148713i
$601$	−7.98913	+	13.8376i	−0.325883	+	0.564446i	−0.981691	−	0.190482i	$-0.938995\pi$
$601$	−7.98913	+	13.8376i	−0.325883	+	0.564446i	0.655807	+	0.754928i	$0.272328\pi$
$602$	−13.3878	+	3.90653i	−0.545647	+	0.159218i
$603$	6.69391	+	22.2012i	0.272597	+	0.904102i
$604$	3.25544	+	5.10328i	0.132462	+	0.207650i
$605$	−23.4891	−	13.5615i	−0.954969	−	0.551351i
$606$	−0.281658	+	3.01128i	−0.0114416	+	0.122325i
$607$	3.44378	−	1.98827i	0.139779	−	0.0807013i	−0.428480	−	0.903551i	$-0.640951\pi$
$607$	3.44378	−	1.98827i	0.139779	−	0.0807013i	0.568259	+	0.822850i	$0.307617\pi$
$608$	−9.67909	−	24.7801i	−0.392539	−	1.00497i
$609$	−5.18614	−	2.05446i	−0.210153	−	0.0832508i
$610$	−8.22683	−	2.01049i	−0.333095	−	0.0814023i
$611$	−2.84429			−0.115068
$612$	3.60466	+	3.09908i	0.145710	+	0.125273i
$613$	4.23369			0.170997			0.0854985	−	0.996338i	$-0.472752\pi$
$613$	4.23369			0.170997			0.0854985	+	0.996338i	$0.472752\pi$
$614$	1.65031	+	0.403305i	0.0666010	+	0.0162761i
$615$	4.32550	+	29.3300i	0.174421	+	1.18270i
$616$	0.354202	−	1.78907i	0.0142712	−	0.0720838i
$617$	−4.24456	+	2.45060i	−0.170880	+	0.0986574i	−0.583001	−	0.812472i	$-0.698121\pi$
$617$	−4.24456	+	2.45060i	−0.170880	+	0.0986574i	0.412121	+	0.911129i	$0.364788\pi$
$618$	0.948999	+	0.673013i	0.0381744	+	0.0270725i
$619$	8.08103	+	4.66559i	0.324804	+	0.187526i	0.653532	−	0.756899i	$-0.273287\pi$
$619$	8.08103	+	4.66559i	0.324804	+	0.187526i	−0.328728	+	0.944425i	$0.606620\pi$
$620$	34.6040	−	22.0742i	1.38973	−	0.886522i
$621$	−9.55842	+	13.7364i	−0.383566	+	0.551222i
$622$	−25.9783	+	7.58039i	−1.04163	+	0.303946i
$623$	7.64018	−	13.2332i	0.306097	−	0.530176i
$624$	3.82505	+	15.9844i	0.153124	+	0.639886i
$625$	14.9891	+	25.9619i	0.599565	+	1.03848i
$626$	18.8935	+	18.0757i	0.755135	+	0.722452i
$627$	−4.07279	+	0.600642i	−0.162652	+	0.0239873i
$628$	1.04893	+	23.6996i	0.0418569	+	0.945717i
$629$			5.34363i			0.213064i
$630$	12.1795	+	6.19354i	0.485244	+	0.246756i
$631$			42.8752i			1.70683i	0.521228	+	0.853417i	$0.325474\pi$
$631$			42.8752i			1.70683i	−0.521228	+	0.853417i	$0.674526\pi$
$632$	26.4556	−	9.00690i	1.05235	−	0.358275i
$633$	11.1861	−	28.2376i	0.444609	−	1.12234i
$634$	31.7943	−	33.2326i	1.26271	−	1.31984i
$635$	9.66181	+	16.7347i	0.383417	+	0.664098i
$636$	1.23380	+	6.39290i	0.0489235	+	0.253495i
$637$	6.37228	−	11.0371i	0.252479	−	0.437306i
$638$	−0.505408	−	1.73205i	−0.0200093	−	0.0685725i
$639$	−8.14558	+	34.6708i	−0.322234	+	1.37155i
$640$	−26.1168	+	11.5569i	−1.03236	+	0.456827i
$641$	18.1277	+	10.4660i	0.716002	+	0.413384i	0.813279	−	0.581873i	$-0.197680\pi$
$641$	18.1277	+	10.4660i	0.716002	+	0.413384i	−0.0972775	+	0.995257i	$0.531013\pi$
$642$	12.8399	+	27.9720i	0.506752	+	1.10397i
$643$	−31.1307	+	17.9733i	−1.22767	+	0.708798i	−0.966543	−	0.256506i	$-0.917429\pi$
$643$	−31.1307	+	17.9733i	−1.22767	+	0.708798i	−0.261131	+	0.965303i	$0.584095\pi$
$644$	3.79021	−	7.29156i	0.149355	−	0.287328i
$645$	26.4891	−	20.9870i	1.04301	−	0.826362i
$646$	−1.25093	+	5.11874i	−0.0492171	+	0.201394i
$647$	−46.0993			−1.81235			−0.906174	−	0.422904i	$-0.861011\pi$
$647$	−46.0993			−1.81235			−0.906174	+	0.422904i	$0.861011\pi$
$648$	−23.5421	+	9.68348i	−0.924821	+	0.380403i
$649$	−6.25544			−0.245547
$650$	−1.09294	+	4.47227i	−0.0428687	+	0.175417i
$651$	−14.0814	+	11.1565i	−0.551893	+	0.437258i
$652$	1.61499	−	3.10690i	0.0632479	−	0.121675i
$653$	3.81386	−	2.20193i	0.149248	−	0.0861683i	−0.423516	−	0.905888i	$-0.639204\pi$
$653$	3.81386	−	2.20193i	0.149248	−	0.0861683i	0.572764	+	0.819720i	$0.305871\pi$
$654$	13.7841	+	30.0289i	0.539002	+	1.17422i
$655$	16.7025	+	9.64319i	0.652621	+	0.376791i
$656$	24.5954	+	11.4333i	0.960288	+	0.446394i
$657$	2.31386	−	9.84868i	0.0902723	−	0.384234i
$658$	0.605969	+	2.07668i	0.0236231	+	0.0809573i
$659$	6.02987	−	10.4440i	0.234891	−	0.406842i	−0.724350	−	0.689432i	$-0.757860\pi$
$659$	6.02987	−	10.4440i	0.234891	−	0.406842i	0.959241	+	0.282590i	$0.0911935\pi$
$660$	0.837505	+	4.33949i	0.0325998	+	0.168915i
$661$	−7.81386	−	13.5340i	−0.303924	−	0.526412i	0.673097	−	0.739554i	$-0.264964\pi$
$661$	−7.81386	−	13.5340i	−0.303924	−	0.526412i	−0.977021	+	0.213142i	$0.931630\pi$
$662$	27.1219	−	28.3489i	1.05412	−	1.10181i
$663$	1.19897	−	3.02661i	0.0465641	−	0.117544i
$664$	−6.96454	−	20.4566i	−0.270276	−	0.793871i
$665$			15.1460i			0.587338i
$666$	−25.5063	−	12.9705i	−0.988349	−	0.502595i
$667$		−	8.12989i		−	0.314791i
$668$	−1.54669	−	34.9461i	−0.0598434	−	1.35210i
$669$	13.9307	−	2.05446i	0.538592	−	0.0794299i
$670$	19.9385	+	19.0755i	0.770290	+	0.736952i
$671$	0.599485	+	1.03834i	0.0231429	+	0.0400846i
$672$	10.8556	−	6.19817i	0.418763	−	0.239100i
$673$	−14.9307	+	25.8607i	−0.575536	+	0.996858i	0.420447	+	0.907317i	$0.361873\pi$
$673$	−14.9307	+	25.8607i	−0.575536	+	0.996858i	−0.995983	+	0.0895410i	$0.971460\pi$
$674$	−21.3748	+	6.23711i	−0.823326	+	0.240244i
$675$	−7.10524	−	0.600642i	−0.273481	−	0.0231187i
$676$	−12.4307	+	7.92967i	−0.478104	+	0.304987i
$677$	−3.04755	−	1.75950i	−0.117127	−	0.0676232i	0.440292	−	0.897855i	$-0.354875\pi$
$677$	−3.04755	−	1.75950i	−0.117127	−	0.0676232i	−0.557419	+	0.830231i	$0.688208\pi$
$678$	−14.5419	−	10.3128i	−0.558478	−	0.396062i
$679$	11.5894	−	6.69112i	0.444759	−	0.256782i
$680$	5.54915	+	1.09863i	0.212800	+	0.0421304i
$681$	−3.63859	−	24.6723i	−0.139431	−	0.945445i
$682$	−5.64476	−	1.37948i	−0.216149	−	0.0528229i
$683$	20.0172			0.765936			0.382968	−	0.923762i	$-0.374902\pi$
$683$	20.0172			0.765936			0.382968	+	0.923762i	$0.374902\pi$
$684$	−21.3965	−	18.3955i	−0.818116	−	0.703371i
$685$	13.8614			0.529617
$686$	−21.6849	−	5.29941i	−0.827935	−	0.202332i
$687$	−5.84172	−	2.31416i	−0.222876	−	0.0882907i
$688$	−2.73146	−	30.7969i	−0.104136	−	1.17412i
$689$	3.86141	−	2.22938i	0.147108	−	0.0849328i
$690$	−1.85455	+	19.8275i	−0.0706015	+	0.754821i
$691$	−17.3961	−	10.0436i	−0.661777	−	0.382077i	0.131177	−	0.991359i	$-0.458125\pi$
$691$	−17.3961	−	10.0436i	−0.661777	−	0.382077i	−0.792954	+	0.609282i	$0.791458\pi$
$692$	−19.0064	−	29.7947i	−0.722513	−	1.13263i
$693$	−0.558422	−	1.85208i	−0.0212127	−	0.0703546i
$694$	9.43070	−	2.75186i	0.357985	−	0.104459i
$695$	19.4177	−	33.6324i	0.736555	−	1.27575i
$696$	6.70082	−	10.3939i	0.253994	−	0.393981i
$697$	−2.68614	−	4.65253i	−0.101745	−	0.176227i
$698$	5.75079	+	5.50189i	0.217671	+	0.208250i
$699$	5.21271	+	6.57932i	0.197163	+	0.248853i
$700$	3.49815	−	0.154826i	0.132217	−	0.00585187i
$701$			32.7615i			1.23738i	0.785634	+	0.618692i	$0.212337\pi$
$701$			32.7615i			1.23738i	−0.785634	+	0.618692i	$0.787663\pi$
$702$	11.5364	+	13.0693i	0.435414	+	0.493271i
$703$		−	31.7187i		−	1.19629i
$704$	3.73826	+	1.54059i	0.140891	+	0.0580633i
$705$	−3.25544	−	4.10891i	−0.122607	−	0.154751i
$706$	−8.17827	+	8.54824i	−0.307793	+	0.321717i
$707$	−0.787639	−	1.36423i	−0.0296222	−	0.0513072i
$708$	−28.0855	−	32.3958i	−1.05552	−	1.21751i
$709$	−11.9307	+	20.6646i	−0.448067	+	0.776075i	−0.998260	−	0.0589626i	$-0.981221\pi$
$709$	−11.9307	+	20.6646i	−0.448067	+	0.776075i	0.550193	+	0.835037i	$0.314554\pi$
$710$	11.8716	+	40.6844i	0.445533	+	1.52686i
$711$	20.2994	−	21.6005i	0.761287	−	0.810084i
$712$	25.4891	+	22.3130i	0.955245	+	0.836215i
$713$	−22.6753	−	13.0916i	−0.849195	−	0.490283i
$714$	−2.46522	−	0.230582i	−0.0922587	−	0.00862933i
$715$	2.62112	−	1.51330i	0.0980242	−	0.0565943i
$716$	15.6857	+	8.15356i	0.586202	+	0.304713i
$717$	−19.4198	−	7.69304i	−0.725247	−	0.287302i
$718$	−0.465697	+	1.90561i	−0.0173797	+	0.0711168i
$719$	−16.2912			−0.607558			−0.303779	−	0.952743i	$-0.598248\pi$
$719$	−16.2912			−0.607558			−0.303779	+	0.952743i	$0.598248\pi$
$720$	−18.7133	+	23.8206i	−0.697403	+	0.887742i
$721$	−0.605969			−0.0225675
$722$	1.04641	−	4.28187i	0.0389434	−	0.159355i
$723$	−1.63983	−	11.1192i	−0.0609859	−	0.413528i
$724$	7.09829	+	3.68975i	0.263806	+	0.137128i
$725$	3.00000	−	1.73205i	0.111417	−	0.0643268i
$726$	−15.2248	+	21.4681i	−0.565045	+	0.796756i
$727$	32.9937	+	19.0489i	1.22367	+	0.706485i	0.965698	−	0.259668i	$-0.0836133\pi$
$727$	32.9937	+	19.0489i	1.22367	+	0.706485i	0.257969	+	0.966153i	$0.416947\pi$
$728$	−6.44121	−	5.63858i	−0.238727	−	0.208980i
$729$	−17.2337	+	20.7846i	−0.638285	+	0.769800i
$730$	−3.37228	−	11.5569i	−0.124814	−	0.427741i
$731$	−3.06198	+	5.30350i	−0.113251	+	0.196157i
$732$	−2.68583	+	7.76653i	−0.0992710	+	0.287059i
$733$	−0.186141	−	0.322405i	−0.00687526	−	0.0119083i	0.862567	−	0.505942i	$-0.168855\pi$
$733$	−0.186141	−	0.322405i	−0.00687526	−	0.0119083i	−0.869443	+	0.494034i	$0.835522\pi$
$734$	−6.23648	+	6.51861i	−0.230193	+	0.240606i
$735$	23.2378	−	3.42703i	0.857138	−	0.126408i
$736$	14.2253	+	11.3821i	0.524352	+	0.419551i
$737$		−	3.90653i		−	0.143899i
$738$	28.7275	−	1.52856i	1.05748	−	0.0562670i
$739$			6.45364i			0.237401i	0.992930	+	0.118700i	$0.0378728\pi$
$739$			6.45364i			0.237401i	−0.992930	+	0.118700i	$0.962127\pi$
$740$	−34.0178	+	1.50561i	−1.25052	+	0.0553473i
$741$	−7.11684	+	17.9653i	−0.261444	+	0.659972i
$742$	−2.45038	−	2.34433i	−0.0899563	−	0.0860630i
$743$	−10.5785	−	18.3226i	−0.388089	−	0.672190i	0.604103	−	0.796906i	$-0.293531\pi$
$743$	−10.5785	−	18.3226i	−0.388089	−	0.672190i	−0.992193	+	0.124716i	$0.960198\pi$
$744$	−18.1996	−	35.4268i	−0.667230	−	1.29881i
$745$	16.3030	−	28.2376i	0.597295	−	1.03455i
$746$	−26.9638	+	7.86797i	−0.987215	+	0.288067i
$747$	−16.7025	−	15.6964i	−0.611112	−	0.574301i
$748$	−0.430703	−	0.675178i	−0.0157481	−	0.0246870i
$749$	−13.8832	−	8.01544i	−0.507279	−	0.292878i
$750$	20.3862	−	9.35785i	0.744400	−	0.341701i
$751$	18.7832	−	10.8445i	0.685408	−	0.395721i	−0.116481	−	0.993193i	$-0.537162\pi$
$751$	18.7832	−	10.8445i	0.685408	−	0.395721i	0.801890	+	0.597472i	$0.203828\pi$
$752$	−4.77713	+	0.423696i	−0.174204	+	0.0154506i
$753$	−15.1753	+	12.0232i	−0.553017	+	0.438149i
$754$	−8.22683	−	2.01049i	−0.299604	−	0.0732177i
$755$	7.64018			0.278054
$756$	7.08440	−	11.2074i	0.257657	−	0.407608i
$757$	14.0000			0.508839			0.254419	−	0.967094i	$-0.418116\pi$
$757$	14.0000			0.508839			0.254419	+	0.967094i	$0.418116\pi$
$758$	8.86592	+	2.16667i	0.322025	+	0.0786970i
$759$	2.20979	−	1.75079i	0.0802102	−	0.0635495i
$760$	−32.9386	−	6.52122i	−1.19481	−	0.236549i
$761$	15.0475	−	8.68771i	0.545473	−	0.314929i	−0.201821	−	0.979422i	$-0.564686\pi$
$761$	15.0475	−	8.68771i	0.545473	−	0.314929i	0.747294	+	0.664493i	$0.231353\pi$
$762$	17.0411	−	7.82233i	0.617333	−	0.283373i
$763$	−14.9040	−	8.60485i	−0.539563	−	0.311517i
$764$	−25.4476	+	16.2333i	−0.920661	+	0.587299i
$765$	5.74456	−	1.73205i	0.207695	−	0.0626224i
$766$	−11.7446	+	3.42703i	−0.424348	+	0.123824i
$767$	−14.6809	+	25.4280i	−0.530095	+	0.918152i
$768$	8.80544	+	26.2767i	0.317739	+	0.948178i
$769$	−4.04755	−	7.01056i	−0.145958	−	0.252807i	0.783772	−	0.621049i	$-0.213293\pi$
$769$	−4.04755	−	7.01056i	−0.145958	−	0.252807i	−0.929730	+	0.368242i	$0.879960\pi$
$770$	−1.66332	−	1.59133i	−0.0599417	−	0.0573474i
$771$	9.56773	−	24.1522i	0.344573	−	0.869820i
$772$	0.684870	+	15.4740i	0.0246490	+	0.556921i
$773$			0.699713i			0.0251669i	0.999921	+	0.0125835i	$0.00400555\pi$
$773$			0.699713i			0.0251669i	−0.999921	+	0.0125835i	$0.995994\pi$
$774$	−17.8825	−	27.4885i	−0.642773	−	0.988054i
$775$		−	11.1565i		−	0.400753i
$776$	9.56155	+	28.0847i	0.343240	+	1.00818i
$777$	14.7446	−	2.17448i	0.528958	−	0.0780091i
$778$	−30.8219	+	32.2162i	−1.10502	+	1.15501i
$779$	15.9444	+	27.6165i	0.571267	+	0.989463i
$780$	19.6053	+	6.77993i	0.701984	+	0.242761i
$781$	3.00000	−	5.19615i	0.107348	−	0.185933i
$782$	−1.01082	−	3.46410i	−0.0361467	−	0.123876i
$783$	1.10489	−	13.0702i	0.0394857	−	0.467092i
$784$	9.05842	−	19.4866i	0.323515	−	0.695950i
$785$	25.9307	+	14.9711i	0.925506	+	0.534341i
$786$	10.8259	−	15.2654i	0.386149	−	0.544499i
$787$	−30.0903	+	17.3727i	−1.07260	+	0.619268i	−0.928892	−	0.370351i	$-0.879237\pi$
$787$	−30.0903	+	17.3727i	−1.07260	+	0.619268i	−0.143712	+	0.989620i	$0.545904\pi$
$788$	−22.0958	+	42.5077i	−0.787132	+	1.51427i
$789$	7.06930	+	47.9350i	0.251674	+	1.70653i
$790$	8.37379	−	34.2652i	0.297926	−	1.21910i
$791$	9.28550			0.330154
$792$	4.26821	−	0.416997i	0.151664	−	0.0148173i
$793$	5.62772			0.199846
$794$	6.29308	−	25.7510i	0.223333	−	0.913869i
$795$	7.64018	+	3.02661i	0.270969	+	0.107343i
$796$	−11.9062	+	22.9049i	−0.422003	+	0.811843i
$797$	20.6970	−	11.9494i	0.733126	−	0.423270i	−0.0864387	−	0.996257i	$-0.527549\pi$
$797$	20.6970	−	11.9494i	0.733126	−	0.423270i	0.819565	+	0.572987i	$0.194215\pi$
$798$	14.6331	+	1.36869i	0.518005	+	0.0484511i
$799$	0.822662	+	0.474964i	0.0291037	+	0.0168030i
$800$	−1.16944	+	7.67420i	−0.0413461	+	0.271324i
$801$	34.9783	+	8.21782i	1.23590	+	0.290363i
$802$	1.82473	+	6.25343i	0.0644336	+	0.220816i
$803$	−0.852189	+	1.47603i	−0.0300731	+	0.0520881i
$804$	20.2312	−	17.5394i	0.713501	−	0.618568i
$805$	−5.18614	−	8.98266i	−0.182787	−	0.316597i
$806$	−18.8552	+	19.7082i	−0.664145	+	0.694190i
$807$	23.1087	+	29.1671i	0.813464	+	1.02673i
$808$	3.30596	−	1.12553i	0.116303	−	0.0395960i
$809$		−	35.8381i		−	1.26000i	−0.776595	−	0.630000i	$-0.783055\pi$
$809$		−	35.8381i		−	1.26000i	0.776595	−	0.630000i	$-0.216945\pi$
$810$	−5.67618	+	31.6242i	−0.199441	+	1.11116i
$811$			1.20128i			0.0421828i	0.999778	+	0.0210914i	$0.00671410\pi$
$811$			1.20128i			0.0421828i	−0.999778	+	0.0210914i	$0.993286\pi$
$812$	0.284805	+	6.43491i	0.00999471	+	0.225821i
$813$	32.2337	+	40.6844i	1.13048	+	1.42686i
$814$	3.48330	+	3.33254i	0.122090	+	0.116806i
$815$	−2.20979	−	3.82746i	−0.0774054	−	0.134070i
$816$	1.56287	−	5.26193i	0.0547115	−	0.184204i
$817$	18.1753	−	31.4805i	0.635872	−	1.10136i
$818$	18.6596	−	5.44482i	0.652417	−	0.190374i
$819$	−8.83915	−	2.07668i	−0.308865	−	0.0725650i
$820$	28.8614	−	18.4110i	1.00788	−	0.642940i
$821$	−15.8139	−	9.13014i	−0.551907	−	0.318644i	0.197983	−	0.980205i	$-0.436561\pi$
$821$	−15.8139	−	9.13014i	−0.551907	−	0.318644i	−0.749891	+	0.661561i	$0.769894\pi$
$822$	1.25260	−	13.3920i	0.0436896	−	0.467098i
$823$	12.1538	−	7.01701i	0.423656	−	0.244598i	−0.272984	−	0.962018i	$-0.588011\pi$
$823$	12.1538	−	7.01701i	0.423656	−	0.244598i	0.696640	+	0.717421i	$0.254677\pi$
$824$	0.260904	−	1.31782i	0.00908902	−	0.0459085i
$825$	1.11684	+	0.442430i	0.0388835	+	0.0154035i
$826$	21.6932	+	5.30143i	0.754804	+	0.184460i
$827$	47.4864			1.65126			0.825632	−	0.564210i	$-0.190819\pi$
$827$	47.4864			1.65126			0.825632	+	0.564210i	$0.190819\pi$
$828$	18.9884	+	3.58348i	0.659894	+	0.124535i
$829$	−48.2337			−1.67523			−0.837613	−	0.546265i	$-0.816049\pi$
$829$	−48.2337			−1.67523			−0.837613	+	0.546265i	$0.816049\pi$
$830$	−26.4954	−	6.47498i	−0.919667	−	0.224750i
$831$	1.61030	+	10.9190i	0.0558607	+	0.378776i
$832$	15.0357	−	11.5802i	0.521270	−	0.401471i
$833$	−3.68614	+	2.12819i	−0.127717	+	0.0737376i
$834$	−30.7387	−	21.7993i	−1.06439	−	0.754848i
$835$	−38.2359	−	22.0755i	−1.32321	−	0.763954i
$836$	2.55657	+	4.00772i	0.0884207	+	0.138610i
$837$	−34.6753	−	24.1287i	−1.19855	−	0.834009i
$838$	36.6060	−	10.6815i	1.26453	−	0.368987i
$839$	−21.3102	+	36.9104i	−0.735711	+	1.27429i	0.218700	+	0.975792i	$0.429818\pi$
$839$	−21.3102	+	36.9104i	−0.735711	+	1.27429i	−0.954411	+	0.298496i	$0.903515\pi$
$840$	0.773302	−	15.7587i	0.0266815	−	0.543727i
$841$	−11.3139	−	19.5962i	−0.390133	−	0.675730i
$842$	10.8379	+	10.3688i	0.373499	+	0.357334i
$843$	−39.4349	+	5.81573i	−1.35821	+	0.200304i
$844$	−35.0369	+	1.55071i	−1.20602	+	0.0533778i
$845$			18.6101i			0.640208i
$846$	−4.26393	+	2.77388i	−0.146597	+	0.0953678i
$847$		−	13.7081i		−	0.471017i
$848$	6.15332	−	4.31957i	0.211306	−	0.148334i
$849$	6.30298	−	15.9109i	0.216318	−	0.546059i
$850$	1.06293	−	1.11102i	0.0364583	−	0.0381076i
$851$	10.8608	+	18.8114i	0.372303	+	0.644847i
$852$	40.3793	−	7.79304i	1.38337	−	0.266985i
$853$	−22.3030	+	38.6299i	−0.763640	+	1.32266i	0.177323	+	0.984153i	$0.443256\pi$
$853$	−22.3030	+	38.6299i	−0.763640	+	1.32266i	−0.940963	+	0.338510i	$0.890077\pi$
$854$	−1.19897	−	4.10891i	−0.0410279	−	0.140604i
$855$	−34.0986	+	10.2811i	−1.16615	+	0.351606i
$856$	23.4090	−	26.7411i	0.800102	−	0.913992i
$857$	32.5367	+	18.7851i	1.11143	+	0.641685i	0.939200	−	0.343371i	$-0.111569\pi$
$857$	32.5367	+	18.7851i	1.11143	+	0.641685i	0.172232	+	0.985056i	$0.444902\pi$
$858$	−1.22519	−	2.66910i	−0.0418273	−	0.0911215i
$859$	−1.58077	+	0.912661i	−0.0539353	+	0.0311396i	−0.526725	−	0.850036i	$-0.676580\pi$
$859$	−1.58077	+	0.912661i	−0.0539353	+	0.0311396i	0.472790	+	0.881175i	$0.343247\pi$
$860$	−34.6251	−	17.9984i	−1.18070	−	0.613740i
$861$	−11.7446	+	9.30506i	−0.400254	+	0.317116i
$862$	−10.4731	+	42.8555i	−0.356716	+	1.45967i
$863$	−40.0344			−1.36279			−0.681393	−	0.731918i	$-0.738625\pi$
$863$	−40.0344			−1.36279			−0.681393	+	0.731918i	$0.738625\pi$
$864$	21.3228	+	20.2321i	0.725417	+	0.688310i
$865$	−44.6060			−1.51665
$866$	2.89657	−	11.8526i	0.0984294	−	0.402769i
$867$	22.2270	−	17.6101i	0.754867	−	0.598072i
$868$	18.4064	+	9.56778i	0.624753	+	0.324752i
$869$	−4.32473	+	2.49689i	−0.146707	+	0.0847011i
$870$	−6.51164	−	14.1857i	−0.220765	−	0.480941i
$871$	−15.8798	−	9.16823i	−0.538068	−	0.310654i
$872$	25.1303	−	28.7075i	0.851020	−	0.972158i
$873$	22.9307	+	21.5494i	0.776087	+	0.729338i
$874$	6.00000	+	20.5622i	0.202953	+	0.695527i
$875$	−5.84172	+	10.1182i	−0.197486	+	0.342056i
$876$	−11.4703	+	2.21371i	−0.387544	+	0.0747945i
$877$	−10.8139	−	18.7302i	−0.365158	−	0.632472i	0.623643	−	0.781709i	$-0.285652\pi$
$877$	−10.8139	−	18.7302i	−0.365158	−	0.632472i	−0.988802	+	0.149237i	$0.952318\pi$
$878$	6.38222	−	6.67094i	0.215389	−	0.225133i
$879$	−14.8690	+	37.5344i	−0.501520	+	1.26600i
$880$	4.17686	−	2.93212i	0.140802	−	0.0988416i
$881$		−	52.9562i		−	1.78414i	−0.451898	−	0.892070i	$-0.649253\pi$
$881$		−	52.9562i		−	1.78414i	0.451898	−	0.892070i	$-0.350747\pi$
$882$	−1.21106	−	22.7605i	−0.0407784	−	0.766385i
$883$			20.0127i			0.673481i	0.941597	+	0.336741i	$0.109325\pi$
$883$			20.0127i			0.673481i	−0.941597	+	0.336741i	$0.890675\pi$
$884$	−3.75538	+	0.166211i	−0.126307	+	0.00559028i
$885$	−53.5367	+	7.89542i	−1.79962	+	0.265402i
$886$	−12.6477	−	12.1003i	−0.424907	−	0.406517i
$887$	−9.75588	−	16.8977i	−0.327571	−	0.567369i	0.654459	−	0.756098i	$-0.272897\pi$
$887$	−9.75588	−	16.8977i	−0.327571	−	0.567369i	−0.982029	+	0.188729i	$0.939563\pi$
$888$	−1.61944	+	33.0018i	−0.0543450	+	1.10747i
$889$	−4.88316	+	8.45787i	−0.163776	+	0.283668i
$890$	41.0452	−	11.9769i	1.37584	−	0.401466i
$891$	3.79056	−	2.51437i	0.126989	−	0.0842347i
$892$	−8.74456	−	13.7081i	−0.292790	−	0.458982i
$893$	−4.88316	−	2.81929i	−0.163409	−	0.0943440i
$894$	−25.8080	−	18.3026i	−0.863149	−	0.612129i
$895$	19.3236	−	11.1565i	0.645917	−	0.372920i
$896$	−11.6583	−	8.51076i	−0.389475	−	0.284325i
$897$	−1.93070	−	13.0916i	−0.0644643	−	0.437115i
$898$	26.6548	+	6.51394i	0.889481	+	0.217373i
$899$	20.5226			0.684467
$900$	2.72310	+	7.77035i	0.0907700	+	0.259012i
$901$	−1.48913			−0.0496100
$902$	−4.70801	−	1.15055i	−0.156760	−	0.0383092i
$903$	15.8798	+	6.29069i	0.528448	+	0.209341i
$904$	−3.99793	+	20.1935i	−0.132969	+	0.671626i
$905$	8.74456	−	5.04868i	0.290679	−	0.167824i
$906$	0.690414	−	7.38142i	0.0229375	−	0.245231i
$907$	25.8884	+	14.9467i	0.859611	+	0.496297i	0.863882	−	0.503694i	$-0.168026\pi$
$907$	25.8884	+	14.9467i	0.859611	+	0.496297i	−0.00427097	+	0.999991i	$0.501359\pi$
$908$	−24.2781	+	15.4873i	−0.805698	+	0.513963i
$909$	2.53667	−	2.69927i	0.0841361	−	0.0895290i
$910$	−10.3723	+	3.02661i	−0.343838	+	0.100331i
$911$	17.9015	−	31.0063i	0.593102	−	1.02728i	−0.400710	−	0.916205i	$-0.631236\pi$
$911$	17.9015	−	31.0063i	0.593102	−	1.02728i	0.993812	−	0.111078i	$-0.0354303\pi$
$912$	−9.27690	+	31.2338i	−0.307189	+	1.03425i
$913$	1.93070	+	3.34408i	0.0638970	+	0.110673i
$914$	−40.8525	−	39.0844i	−1.35128	−	1.29280i
$915$	6.44121	+	8.12989i	0.212940	+	0.268766i
$916$	0.320808	+	7.24834i	0.0105998	+	0.239492i
$917$			9.74749i			0.321891i
$918$	−1.15428	−	5.70653i	−0.0380968	−	0.188343i
$919$			36.9711i			1.21956i	0.792570	+	0.609781i	$0.208743\pi$
$919$			36.9711i			1.21956i	−0.792570	+	0.609781i	$0.791257\pi$
$920$	21.7678	−	7.41094i	0.717664	−	0.244332i
$921$	−1.29211	−	1.63086i	−0.0425765	−	0.0537387i
$922$	−0.342034	+	0.357508i	−0.0112643	+	0.0117739i
$923$	−14.0814	−	24.3897i	−0.463494	−	0.802796i
$924$	−1.68774	+	1.46318i	−0.0555226	+	0.0481351i
$925$	−4.62772	+	8.01544i	−0.152158	+	0.263546i
$926$	−1.89253	−	6.48577i	−0.0621925	−	0.213136i
$927$	−0.411331	−	1.36423i	−0.0135099	−	0.0448072i
$928$	−14.1168	−	2.15121i	−0.463408	−	0.0706170i
$929$	16.0693	+	9.27761i	0.527217	+	0.304389i	0.739882	−	0.672736i	$-0.234881\pi$
$929$	16.0693	+	9.27761i	0.527217	+	0.304389i	−0.212666	+	0.977125i	$0.568215\pi$
$930$	−50.0514	−	4.68151i	−1.64125	−	0.153513i
$931$	21.8802	−	12.6325i	0.717094	−	0.414014i
$932$	4.47040	−	8.60011i	0.146433	−	0.281706i
$933$	30.8139	+	12.2067i	1.00880	+	0.399630i
$934$	1.71662	−	7.02435i	0.0561697	−	0.229844i
$935$	−1.01082			−0.0330572
$936$	8.32198	−	18.3287i	0.272012	−	0.599092i
$937$	45.7228			1.49370			0.746850	−	0.664993i	$-0.231565\pi$
$937$	45.7228			1.49370			0.746850	+	0.664993i	$0.231565\pi$
$938$	−3.31075	+	13.5475i	−0.108100	+	0.442340i
$939$	−4.67228	−	31.6814i	−0.152474	−	1.03388i
$940$	−2.79185	+	5.37093i	−0.0910602	+	0.175181i
$941$	11.6970	−	6.75327i	0.381312	−	0.220150i	−0.297077	−	0.954854i	$-0.596012\pi$
$941$	11.6970	−	6.75327i	0.381312	−	0.220150i	0.678389	+	0.734703i	$0.262678\pi$
$942$	16.8073	−	23.6996i	0.547612	−	0.772175i
$943$	−18.9123	−	10.9190i	−0.615869	−	0.355572i
$944$	−20.8694	+	44.8945i	−0.679240	+	1.46119i
$945$	−7.11684	−	15.1460i	−0.231511	−	0.492700i
$946$	1.54755	+	5.30350i	0.0503151	+	0.172432i
$947$	−3.28515	+	5.69005i	−0.106753	+	0.184902i	−0.914453	−	0.404692i	$-0.867379\pi$
$947$	−3.28515	+	5.69005i	−0.106753	+	0.184902i	0.807700	+	0.589594i	$0.200712\pi$
$948$	−32.3480	−	11.1866i	−1.05061	−	0.363324i
$949$	4.00000	+	6.92820i	0.129845	+	0.224899i
$950$	−6.30935	+	6.59477i	−0.204702	+	0.213963i
$951$	−55.7260	+	8.21830i	−1.80704	+	0.266497i
$952$	0.921427	+	2.70647i	0.0298636	+	0.0877171i
$953$		−	10.2997i		−	0.333641i	−0.985987	−	0.166821i	$-0.946650\pi$
$953$		−	10.2997i		−	0.333641i	0.985987	−	0.166821i	$-0.0533500\pi$
$954$	3.61452	−	7.10792i	0.117024	−	0.230127i
$955$			38.0978i			1.23282i
$956$	1.06647	+	24.0959i	0.0344922	+	0.779317i
$957$	−0.813859	+	2.05446i	−0.0263083	+	0.0664111i
$958$	−13.3564	−	12.7783i	−0.431526	−	0.412849i
$959$	3.50283	+	6.06709i	0.113112	+	0.195916i
$960$	33.9381	+	8.46674i	1.09535	+	0.273263i
$961$	17.5475	−	30.3932i	0.566050	−	0.980427i
$962$	21.7216	−	6.33830i	0.700331	−	0.204355i
$963$	8.62146	−	36.6963i	0.277823	−	1.18252i
$964$	−10.9416	+	6.97975i	−0.352404	+	0.224802i
$965$	16.9307	+	9.77495i	0.545019	+	0.314667i
$966$	−9.14709	+	4.19877i	−0.294303	+	0.135093i
$967$	40.5748	−	23.4259i	1.30480	−	0.753325i	0.323574	−	0.946203i	$-0.395115\pi$
$967$	40.5748	−	23.4259i	1.30480	−	0.753325i	0.981223	+	0.192878i	$0.0617821\pi$
$968$	29.8116	+	5.90213i	0.958180	+	0.189702i
$969$	5.05842	−	4.00772i	0.162500	−	0.128747i
$970$	36.3752	+	8.88945i	1.16794	+	0.285423i
$971$	−37.0019			−1.18745			−0.593724	−	0.804669i	$-0.702343\pi$
$971$	−37.0019			−1.18745			−0.593724	+	0.804669i	$0.702343\pi$
$972$	30.0402	+	8.34170i	0.963541	+	0.267560i
$973$	19.6277			0.629236
$974$	58.9013	+	14.3944i	1.88732	+	0.461227i
$975$	4.41957	−	3.50157i	0.141540	−	0.112140i
$976$	9.45202	−	0.838325i	0.302552	−	0.0268341i
$977$	−47.3614	+	27.3441i	−1.51523	+	0.874816i	−0.515385	+	0.856959i	$0.672351\pi$
$977$	−47.3614	+	27.3441i	−1.51523	+	0.874816i	−0.999841	+	0.0178572i	$0.994316\pi$
$978$	−3.89753	+	1.78907i	−0.124629	+	0.0572082i
$979$	−5.24224	−	3.02661i	−0.167543	−	0.0967307i
$980$	−14.5868	−	22.8665i	−0.465958	−	0.730444i
$981$	9.25544	−	39.3947i	0.295503	−	1.25778i
$982$	−18.6861	+	5.45257i	−0.596299	+	0.173998i
$983$	17.2079	−	29.8050i	0.548847	−	0.950631i	−0.449507	−	0.893277i	$-0.648400\pi$
$983$	17.2079	−	29.8050i	0.548847	−	0.950631i	0.998354	−	0.0573540i	$-0.0182664\pi$
$984$	−15.1794	−	29.5477i	−0.483900	−	0.941945i
$985$	30.2337	+	52.3663i	0.963325	+	1.66853i
$986$	2.04374	+	1.95528i	0.0650859	+	0.0622689i
$987$	0.975793	−	2.46323i	0.0310598	−	0.0784055i
$988$	22.2912	−	0.986595i	0.709177	−	0.0313878i
$989$			24.8935i			0.791568i
$990$	2.45353	−	4.82485i	0.0779783	−	0.153344i
$991$			7.65492i			0.243167i	0.992581	+	0.121583i	$0.0387972\pi$
$991$			7.65492i			0.243167i	−0.992581	+	0.121583i	$0.961203\pi$
$992$	−28.7324	+	35.9095i	−0.912254	+	1.14013i
$993$	−47.5367	+	7.01056i	−1.50853	+	0.222473i
$994$	−14.8074	+	15.4773i	−0.469662	+	0.490909i
$995$	16.2912	+	28.2171i	0.516465	+	0.894543i
$996$	−8.64998	+	25.0129i	−0.274085	+	0.792564i
$997$	12.0693	−	20.9046i	0.382238	−	0.662056i	−0.609143	−	0.793060i	$-0.708487\pi$
$997$	12.0693	−	20.9046i	0.382238	−	0.662056i	0.991382	+	0.131004i	$0.0418200\pi$
$998$	1.35760	+	4.65253i	0.0429740	+	0.147273i
$999$	14.9040	+	31.7187i	0.471543	+	1.00354i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	36.2.h.a.11.3	✓	8
3.2	odd	2		108.2.h.a.35.2		8
4.3	odd	2	inner	36.2.h.a.11.4	yes	8
5.2	odd	4		900.2.o.a.299.1		16
5.3	odd	4		900.2.o.a.299.8		16
5.4	even	2		900.2.r.c.551.2		8
8.3	odd	2		576.2.s.f.191.4		8
8.5	even	2		576.2.s.f.191.1		8
9.2	odd	6		324.2.b.b.323.2		8
9.4	even	3		108.2.h.a.71.1		8
9.5	odd	6	inner	36.2.h.a.23.4	yes	8
9.7	even	3		324.2.b.b.323.7		8
12.11	even	2		108.2.h.a.35.1		8
20.3	even	4		900.2.o.a.299.3		16
20.7	even	4		900.2.o.a.299.6		16
20.19	odd	2		900.2.r.c.551.1		8
24.5	odd	2		1728.2.s.f.575.1		8
24.11	even	2		1728.2.s.f.575.2		8
36.7	odd	6		324.2.b.b.323.1		8
36.11	even	6		324.2.b.b.323.8		8
36.23	even	6	inner	36.2.h.a.23.3	yes	8
36.31	odd	6		108.2.h.a.71.2		8
45.14	odd	6		900.2.r.c.851.1		8
45.23	even	12		900.2.o.a.599.6		16
45.32	even	12		900.2.o.a.599.3		16
72.5	odd	6		576.2.s.f.383.4		8
72.11	even	6		5184.2.c.j.5183.1		8
72.13	even	6		1728.2.s.f.1151.2		8
72.29	odd	6		5184.2.c.j.5183.2		8
72.43	odd	6		5184.2.c.j.5183.7		8
72.59	even	6		576.2.s.f.383.1		8
72.61	even	6		5184.2.c.j.5183.8		8
72.67	odd	6		1728.2.s.f.1151.1		8
180.23	odd	12		900.2.o.a.599.1		16
180.59	even	6		900.2.r.c.851.2		8
180.167	odd	12		900.2.o.a.599.8		16

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
36.2.h.a.11.3	✓	8	1.1	even	1	trivial
36.2.h.a.11.4	yes	8	4.3	odd	2	inner
36.2.h.a.23.3	yes	8	36.23	even	6	inner
36.2.h.a.23.4	yes	8	9.5	odd	6	inner
108.2.h.a.35.1		8	12.11	even	2
108.2.h.a.35.2		8	3.2	odd	2
108.2.h.a.71.1		8	9.4	even	3
108.2.h.a.71.2		8	36.31	odd	6
324.2.b.b.323.1		8	36.7	odd	6
324.2.b.b.323.2		8	9.2	odd	6
324.2.b.b.323.7		8	9.7	even	3
324.2.b.b.323.8		8	36.11	even	6
576.2.s.f.191.1		8	8.5	even	2
576.2.s.f.191.4		8	8.3	odd	2
576.2.s.f.383.1		8	72.59	even	6
576.2.s.f.383.4		8	72.5	odd	6
900.2.o.a.299.1		16	5.2	odd	4
900.2.o.a.299.3		16	20.3	even	4
900.2.o.a.299.6		16	20.7	even	4
900.2.o.a.299.8		16	5.3	odd	4
900.2.o.a.599.1		16	180.23	odd	12
900.2.o.a.599.3		16	45.32	even	12
900.2.o.a.599.6		16	45.23	even	12
900.2.o.a.599.8		16	180.167	odd	12
900.2.r.c.551.1		8	20.19	odd	2
900.2.r.c.551.2		8	5.4	even	2
900.2.r.c.851.1		8	45.14	odd	6
900.2.r.c.851.2		8	180.59	even	6
1728.2.s.f.575.1		8	24.5	odd	2
1728.2.s.f.575.2		8	24.11	even	2
1728.2.s.f.1151.1		8	72.67	odd	6
1728.2.s.f.1151.2		8	72.13	even	6
5184.2.c.j.5183.1		8	72.11	even	6
5184.2.c.j.5183.2		8	72.29	odd	6
5184.2.c.j.5183.7		8	72.43	odd	6
5184.2.c.j.5183.8		8	72.61	even	6

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:	\( N \)	\(=\)	\( 36 = 2^{2} \cdot 3^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	36.h (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.335728 + 1.37379i) q^{2} +(1.35760 - 1.07561i) q^{3} +(-1.77457 - 0.922437i) q^{4} +(-2.18614 + 1.26217i) q^{5} +(1.02187 + 2.22616i) q^{6} +(-1.10489 - 0.637910i) q^{7} +(1.86301 - 2.12819i) q^{8} +(0.686141 - 2.92048i) q^{9} +O(q^{10})\)	\(q+(-0.335728 + 1.37379i) q^{2} +(1.35760 - 1.07561i) q^{3} +(-1.77457 - 0.922437i) q^{4} +(-2.18614 + 1.26217i) q^{5} +(1.02187 + 2.22616i) q^{6} +(-1.10489 - 0.637910i) q^{7} +(1.86301 - 2.12819i) q^{8} +(0.686141 - 2.92048i) q^{9} +(-1.00000 - 3.42703i) q^{10} +(-0.252704 + 0.437696i) q^{11} +(-3.40134 + 0.656444i) q^{12} +(1.18614 + 2.05446i) q^{13} +(1.24730 - 1.30372i) q^{14} +(-1.61030 + 4.06494i) q^{15} +(2.29822 + 3.27386i) q^{16} -0.792287i q^{17} +(3.78176 + 1.92310i) q^{18} +4.70285i q^{19} +(5.04374 - 0.223233i) q^{20} +(-2.18614 + 0.322405i) q^{21} +(-0.516461 - 0.494108i) q^{22} +(-1.61030 - 2.78912i) q^{23} +(0.240111 - 4.89309i) q^{24} +(0.686141 - 1.18843i) q^{25} +(-3.22060 + 0.939764i) q^{26} +(-2.20979 - 4.70285i) q^{27} +(1.37228 + 2.15121i) q^{28} +(2.18614 + 1.26217i) q^{29} +(-5.04374 - 3.57693i) q^{30} +(7.04069 - 4.06494i) q^{31} +(-5.26916 + 2.05813i) q^{32} +(0.127719 + 0.866025i) q^{33} +(1.08843 + 0.265993i) q^{34} +3.22060 q^{35} +(-3.91157 + 4.54969i) q^{36} -6.74456 q^{37} +(-6.46071 - 1.57888i) q^{38} +(3.82009 + 1.51330i) q^{39} +(-1.38665 + 7.00396i) q^{40} +(5.87228 - 3.39036i) q^{41} +(0.291034 - 3.11153i) q^{42} +(-6.69391 - 3.86473i) q^{43} +(0.852189 - 0.543620i) q^{44} +(2.18614 + 7.25061i) q^{45} +(4.37228 - 1.27582i) q^{46} +(-0.599485 + 1.03834i) q^{47} +(6.64145 + 1.97261i) q^{48} +(-2.68614 - 4.65253i) q^{49} +(1.40229 + 1.34160i) q^{50} +(-0.852189 - 1.07561i) q^{51} +(-0.209786 - 4.73992i) q^{52} -1.87953i q^{53} +(7.20260 - 1.45689i) q^{54} -1.27582i q^{55} +(-3.41602 + 1.16300i) q^{56} +(5.05842 + 6.38458i) q^{57} +(-2.46790 + 2.57954i) q^{58} +(6.18850 + 10.7188i) q^{59} +(6.60725 - 5.72814i) q^{60} +(1.18614 - 2.05446i) q^{61} +(3.22060 + 11.0371i) q^{62} +(-2.62112 + 2.78912i) q^{63} +(-1.05842 - 7.92967i) q^{64} +(-5.18614 - 2.99422i) q^{65} +(-1.23261 - 0.115291i) q^{66} +(-6.69391 + 3.86473i) q^{67} +(-0.730835 + 1.40597i) q^{68} +(-5.18614 - 2.05446i) q^{69} +(-1.08125 + 4.42442i) q^{70} -11.8716 q^{71} +(-4.93707 - 6.90111i) q^{72} +3.37228 q^{73} +(2.26434 - 9.26558i) q^{74} +(-0.346781 - 2.35143i) q^{75} +(4.33809 - 8.34556i) q^{76} +(0.558422 - 0.322405i) q^{77} +(-3.36147 + 4.73992i) q^{78} +(8.55691 + 4.94034i) q^{79} +(-9.15640 - 4.25639i) q^{80} +(-8.05842 - 4.00772i) q^{81} +(2.68614 + 9.20550i) q^{82} +(3.82009 - 6.61659i) q^{83} +(4.17686 + 1.44445i) q^{84} +(1.00000 + 1.73205i) q^{85} +(7.55665 - 7.89850i) q^{86} +(4.32550 - 0.637910i) q^{87} +(0.460714 + 1.35323i) q^{88} +11.9769i q^{89} +(-10.6947 + 0.569054i) q^{90} -3.02661i q^{91} +(0.284805 + 6.43491i) q^{92} +(5.18614 - 13.0916i) q^{93} +(-1.22519 - 1.17216i) q^{94} +(-5.93580 - 10.2811i) q^{95} +(-4.93967 + 8.46166i) q^{96} +(-5.24456 + 9.08385i) q^{97} +(7.29339 - 2.12819i) q^{98} +(1.10489 + 1.03834i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 8 q - 3 q^{2} - q^{4} - 6 q^{5} - 3 q^{6} - 6 q^{9}+O(q^{10}) \) 8 * q - 3 * q^2 - q^4 - 6 * q^5 - 3 * q^6 - 6 * q^9	\( 8 q - 3 q^{2} - q^{4} - 6 q^{5} - 3 q^{6} - 6 q^{9} - 8 q^{10} + 6 q^{12} - 2 q^{13} + 12 q^{14} - q^{16} + 18 q^{18} + 18 q^{20} - 6 q^{21} + 3 q^{22} + 3 q^{24} - 6 q^{25} - 12 q^{28} + 6 q^{29} - 18 q^{30} - 33 q^{32} + 24 q^{33} + 7 q^{34} - 33 q^{36} - 8 q^{37} - 27 q^{38} + 10 q^{40} + 24 q^{41} - 18 q^{42} + 6 q^{45} + 12 q^{46} + 21 q^{48} - 10 q^{49} + 21 q^{50} + 16 q^{52} + 39 q^{54} + 18 q^{56} + 6 q^{57} + 4 q^{58} + 6 q^{60} - 2 q^{61} + 26 q^{64} - 30 q^{65} - 24 q^{66} - 15 q^{68} - 30 q^{69} - 6 q^{70} - 21 q^{72} + 4 q^{73} - 30 q^{74} - 3 q^{76} - 30 q^{77} - 12 q^{78} - 30 q^{81} + 10 q^{82} + 30 q^{84} + 8 q^{85} + 21 q^{86} - 21 q^{88} + 6 q^{90} + 24 q^{92} + 30 q^{93} - 18 q^{94} + 12 q^{96} + 4 q^{97}+O(q^{100}) \) 8 * q - 3 * q^2 - q^4 - 6 * q^5 - 3 * q^6 - 6 * q^9 - 8 * q^10 + 6 * q^12 - 2 * q^13 + 12 * q^14 - q^16 + 18 * q^18 + 18 * q^20 - 6 * q^21 + 3 * q^22 + 3 * q^24 - 6 * q^25 - 12 * q^28 + 6 * q^29 - 18 * q^30 - 33 * q^32 + 24 * q^33 + 7 * q^34 - 33 * q^36 - 8 * q^37 - 27 * q^38 + 10 * q^40 + 24 * q^41 - 18 * q^42 + 6 * q^45 + 12 * q^46 + 21 * q^48 - 10 * q^49 + 21 * q^50 + 16 * q^52 + 39 * q^54 + 18 * q^56 + 6 * q^57 + 4 * q^58 + 6 * q^60 - 2 * q^61 + 26 * q^64 - 30 * q^65 - 24 * q^66 - 15 * q^68 - 30 * q^69 - 6 * q^70 - 21 * q^72 + 4 * q^73 - 30 * q^74 - 3 * q^76 - 30 * q^77 - 12 * q^78 - 30 * q^81 + 10 * q^82 + 30 * q^84 + 8 * q^85 + 21 * q^86 - 21 * q^88 + 6 * q^90 + 24 * q^92 + 30 * q^93 - 18 * q^94 + 12 * q^96 + 4 * q^97

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