LMFDB - Embedded newform 336.2.bu.a.11.9

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [336,2,Mod(11,336)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(336, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([6, 3, 6, 8]))

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

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

chi := DirichletCharacter("336.11");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 336 = 2^{4} \cdot 3 \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	336.bu (of order $12$, degree $4$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$2.68297350792$
Analytic rank:	$0$
Dimension:	$240$
Relative dimension:	$60$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			11.9
Character	$\chi$	$=$	336.11
Dual form			336.2.bu.a.275.9

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.30635 + 0.541709i) q^{2} +(1.11887 + 1.32217i) q^{3} +(1.41310 - 1.41532i) q^{4} +(3.95276 + 1.05914i) q^{5} +(-2.17787 - 1.12111i) q^{6} +(-1.79142 + 1.94700i) q^{7} +(-1.07931 + 2.61440i) q^{8} +(-0.496255 + 2.95867i) q^{9} +O(q^{10})$	\(q+(-1.30635 + 0.541709i) q^{2} +(1.11887 + 1.32217i) q^{3} +(1.41310 - 1.41532i) q^{4} +(3.95276 + 1.05914i) q^{5} +(-2.17787 - 1.12111i) q^{6} +(-1.79142 + 1.94700i) q^{7} +(-1.07931 + 2.61440i) q^{8} +(-0.496255 + 2.95867i) q^{9} +(-5.73744 + 0.757640i) q^{10} +(-2.41036 + 0.645854i) q^{11} +(3.45237 + 0.284795i) q^{12} +(3.16491 - 3.16491i) q^{13} +(1.28551 - 3.51389i) q^{14} +(3.02227 + 6.41126i) q^{15} +(-0.00627985 - 4.00000i) q^{16} +(-0.927482 - 0.535482i) q^{17} +(-0.954454 - 4.13389i) q^{18} +(1.07429 - 4.00932i) q^{19} +(7.08469 - 4.09777i) q^{20} +(-4.57863 - 0.190114i) q^{21} +(2.79891 - 2.14943i) q^{22} +(-0.813598 + 0.469731i) q^{23} +(-4.66429 + 1.49814i) q^{24} +(10.1724 + 5.87306i) q^{25} +(-2.42002 + 5.84895i) q^{26} +(-4.46710 + 2.65424i) q^{27} +(0.224176 + 5.28675i) q^{28} +(-4.24974 - 4.24974i) q^{29} +(-7.42118 - 6.73816i) q^{30} +(-2.06090 - 1.18986i) q^{31} +(2.17504 + 5.22199i) q^{32} +(-3.55081 - 2.46427i) q^{33} +(1.50169 + 0.197102i) q^{34} +(-9.14321 + 5.79867i) q^{35} +(3.48621 + 4.88327i) q^{36} +(-2.20397 + 8.22535i) q^{37} +(0.768480 + 5.81954i) q^{38} +(7.72567 + 0.643417i) q^{39} +(-7.03529 + 9.19096i) q^{40} +0.886034 q^{41} +(6.08428 - 2.23193i) q^{42} +(7.11104 - 7.11104i) q^{43} +(-2.49200 + 4.32410i) q^{44} +(-5.09523 + 11.1693i) q^{45} +(0.808387 - 1.05437i) q^{46} +(-0.760799 - 1.31774i) q^{47} +(5.28164 - 4.48378i) q^{48} +(-0.581630 - 6.97579i) q^{49} +(-16.4703 - 2.16178i) q^{50} +(-0.329736 - 1.82542i) q^{51} +(-0.00702694 - 8.95172i) q^{52} +(0.361540 + 1.34928i) q^{53} +(4.39778 - 5.88723i) q^{54} -10.2116 q^{55} +(-3.15673 - 6.78491i) q^{56} +(6.50299 - 3.06552i) q^{57} +(7.85378 + 3.24953i) q^{58} +(5.03046 - 1.34791i) q^{59} +(13.3448 + 4.78228i) q^{60} +(2.78209 + 0.745459i) q^{61} +(3.33682 + 0.437968i) q^{62} +(-4.87153 - 6.26643i) q^{63} +(-5.67016 - 5.64352i) q^{64} +(15.8622 - 9.15807i) q^{65} +(5.97352 + 1.29570i) q^{66} +(4.24429 - 1.13725i) q^{67} +(-2.06851 + 0.555996i) q^{68} +(-1.53137 - 0.550145i) q^{69} +(8.80304 - 12.5281i) q^{70} +10.0893i q^{71} +(-7.19953 - 4.49075i) q^{72} +(2.28066 + 1.31674i) q^{73} +(-1.57658 - 11.9391i) q^{74} +(3.61648 + 20.0209i) q^{75} +(-4.15640 - 7.18606i) q^{76} +(3.06049 - 5.84997i) q^{77} +(-10.4410 + 3.34454i) q^{78} +(-10.4135 + 6.01222i) q^{79} +(4.21173 - 15.8177i) q^{80} +(-8.50746 - 2.93651i) q^{81} +(-1.15747 + 0.479973i) q^{82} +(4.78867 - 4.78867i) q^{83} +(-6.73915 + 6.21159i) q^{84} +(-3.09897 - 3.09897i) q^{85} +(-5.43739 + 13.1416i) q^{86} +(0.863959 - 10.3738i) q^{87} +(0.913017 - 6.99872i) q^{88} +(-6.53442 - 11.3179i) q^{89} +(0.605631 - 17.3512i) q^{90} +(0.492402 + 11.8318i) q^{91} +(-0.484877 + 1.81528i) q^{92} +(-0.732685 - 4.05616i) q^{93} +(1.70770 + 1.30930i) q^{94} +(8.49287 - 14.7101i) q^{95} +(-4.47077 + 8.71850i) q^{96} +10.1729 q^{97} +(4.53866 + 8.79776i) q^{98} +(-0.714715 - 7.45197i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 240 q - 2 q^{3} - 4 q^{4} - 8 q^{6} - 16 q^{7}+O(q^{10}) $ 240 * q - 2 * q^3 - 4 * q^4 - 8 * q^6 - 16 * q^7	$ 240 q - 2 q^{3} - 4 q^{4} - 8 q^{6} - 16 q^{7} - 4 q^{10} - 2 q^{12} - 16 q^{13} - 20 q^{16} + 16 q^{18} - 4 q^{19} + 2 q^{21} - 40 q^{22} - 22 q^{24} - 8 q^{27} - 4 q^{28} - 26 q^{30} - 4 q^{33} + 16 q^{36} - 4 q^{37} - 4 q^{39} + 8 q^{40} - 18 q^{42} - 16 q^{43} + 18 q^{45} - 20 q^{46} - 88 q^{48} - 16 q^{49} + 6 q^{51} + 8 q^{52} + 14 q^{54} - 32 q^{55} - 36 q^{58} - 42 q^{60} - 4 q^{61} - 64 q^{64} - 30 q^{66} - 36 q^{67} - 20 q^{69} + 116 q^{70} - 46 q^{72} - 24 q^{75} - 112 q^{76} - 92 q^{78} - 4 q^{81} - 32 q^{82} + 44 q^{84} - 56 q^{85} - 4 q^{87} - 20 q^{88} + 28 q^{90} - 40 q^{91} - 14 q^{93} + 72 q^{94} + 36 q^{96} - 32 q^{97} + 28 q^{99}+O(q^{100}) $ 240 * q - 2 * q^3 - 4 * q^4 - 8 * q^6 - 16 * q^7 - 4 * q^10 - 2 * q^12 - 16 * q^13 - 20 * q^16 + 16 * q^18 - 4 * q^19 + 2 * q^21 - 40 * q^22 - 22 * q^24 - 8 * q^27 - 4 * q^28 - 26 * q^30 - 4 * q^33 + 16 * q^36 - 4 * q^37 - 4 * q^39 + 8 * q^40 - 18 * q^42 - 16 * q^43 + 18 * q^45 - 20 * q^46 - 88 * q^48 - 16 * q^49 + 6 * q^51 + 8 * q^52 + 14 * q^54 - 32 * q^55 - 36 * q^58 - 42 * q^60 - 4 * q^61 - 64 * q^64 - 30 * q^66 - 36 * q^67 - 20 * q^69 + 116 * q^70 - 46 * q^72 - 24 * q^75 - 112 * q^76 - 92 * q^78 - 4 * q^81 - 32 * q^82 + 44 * q^84 - 56 * q^85 - 4 * q^87 - 20 * q^88 + 28 * q^90 - 40 * q^91 - 14 * q^93 + 72 * q^94 + 36 * q^96 - 32 * q^97 + 28 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/336\mathbb{Z}\right)^\times$.

$n$	$85$	$113$	$127$	$241$
$\chi(n)$	$e\left(\frac{1}{4}\right)$	$-1$	$-1$	$e\left(\frac{2}{3}\right)$

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 $

$2$	−1.30635	+	0.541709i	−0.923729	+	0.383046i
$2$	−1.30635	+	0.541709i	−0.923729	+	0.383046i
$3$	1.11887	+	1.32217i	0.645980	+	0.763354i
$3$	1.11887	+	1.32217i	0.645980	+	0.763354i
$4$	1.41310	−	1.41532i	0.706551	−	0.707662i
$5$	3.95276	+	1.05914i	1.76773	+	0.473662i	0.988261	−	0.152778i	$-0.0488220\pi$
$5$	3.95276	+	1.05914i	1.76773	+	0.473662i	0.779470	+	0.626440i	$0.215489\pi$
$6$	−2.17787	−	1.12111i	−0.889111	−	0.457692i
$7$	−1.79142	+	1.94700i	−0.677093	+	0.735897i
$7$	−1.79142	+	1.94700i	−0.677093	+	0.735897i
$8$	−1.07931	+	2.61440i	−0.381595	+	0.924329i
$9$	−0.496255	+	2.95867i	−0.165418	+	0.986223i
$10$	−5.73744	+	0.757640i	−1.81434	+	0.239587i
$11$	−2.41036	+	0.645854i	−0.726751	+	0.194732i	−0.603182	−	0.797604i	$-0.706101\pi$
$11$	−2.41036	+	0.645854i	−0.726751	+	0.194732i	−0.123569	+	0.992336i	$0.539434\pi$
$12$	3.45237	+	0.284795i	0.996615	+	0.0822133i
$13$	3.16491	−	3.16491i	0.877789	−	0.877789i	−0.115517	−	0.993306i	$-0.536852\pi$
$13$	3.16491	−	3.16491i	0.877789	−	0.877789i	0.993306	+	0.115517i	$0.0368524\pi$
$14$	1.28551	−	3.51389i	0.343568	−	0.939128i
$15$	3.02227	+	6.41126i	0.780347	+	1.65538i
$16$	−0.00627985	−	4.00000i	−0.00156996	−	0.999999i
$17$	−0.927482	−	0.535482i	−0.224947	−	0.129873i	0.383292	−	0.923627i	$-0.374790\pi$
$17$	−0.927482	−	0.535482i	−0.224947	−	0.129873i	−0.608239	+	0.793754i	$0.708124\pi$
$18$	−0.954454	−	4.13389i	−0.224967	−	0.974366i
$19$	1.07429	−	4.00932i	0.246460	−	0.919802i	−0.726184	−	0.687501i	$-0.758708\pi$
$19$	1.07429	−	4.00932i	0.246460	−	0.919802i	0.972644	−	0.232301i	$-0.0746255\pi$
$20$	7.08469	−	4.09777i	1.58418	−	0.916288i
$21$	−4.57863	−	0.190114i	−0.999139	−	0.0414863i
$22$	2.79891	−	2.14943i	0.596730	−	0.458259i
$23$	−0.813598	+	0.469731i	−0.169647	+	0.0979457i	−0.582419	−	0.812888i	$-0.697894\pi$
$23$	−0.813598	+	0.469731i	−0.169647	+	0.0979457i	0.412772	+	0.910834i	$0.364560\pi$
$24$	−4.66429	+	1.49814i	−0.952094	+	0.305806i
$25$	10.1724	+	5.87306i	2.03449	+	1.17461i
$26$	−2.42002	+	5.84895i	−0.474606	+	1.14707i
$27$	−4.46710	+	2.65424i	−0.859695	+	0.510808i
$28$	0.224176	+	5.28675i	0.0423652	+	0.999102i
$29$	−4.24974	−	4.24974i	−0.789157	−	0.789157i	0.192199	−	0.981356i	$-0.438438\pi$
$29$	−4.24974	−	4.24974i	−0.789157	−	0.789157i	−0.981356	+	0.192199i	$0.938438\pi$
$30$	−7.42118	−	6.73816i	−1.35492	−	1.23021i
$31$	−2.06090	−	1.18986i	−0.370149	−	0.213705i	0.303375	−	0.952871i	$-0.401887\pi$
$31$	−2.06090	−	1.18986i	−0.370149	−	0.213705i	−0.673523	+	0.739166i	$0.735220\pi$
$32$	2.17504	+	5.22199i	0.384496	+	0.923127i
$33$	−3.55081	−	2.46427i	−0.618117	−	0.428975i
$34$	1.50169	+	0.197102i	0.257538	+	0.0338027i
$35$	−9.14321	+	5.79867i	−1.54548	+	0.980155i
$36$	3.48621	+	4.88327i	0.581036	+	0.813878i
$37$	−2.20397	+	8.22535i	−0.362331	+	1.35224i	0.508672	+	0.860961i	$0.330137\pi$
$37$	−2.20397	+	8.22535i	−0.362331	+	1.35224i	−0.871003	+	0.491278i	$0.836530\pi$
$38$	0.768480	+	5.81954i	0.124664	+	0.944053i
$39$	7.72567	+	0.643417i	1.23710	+	0.103029i
$40$	−7.03529	+	9.19096i	−1.11238	+	1.45322i
$41$	0.886034			0.138375			0.0691876	−	0.997604i	$-0.477959\pi$
$41$	0.886034			0.138375			0.0691876	+	0.997604i	$0.477959\pi$
$42$	6.08428	−	2.23193i	0.938825	−	0.344394i
$43$	7.11104	−	7.11104i	1.08442	−	1.08442i	0.0883318	−	0.996091i	$-0.471846\pi$
$43$	7.11104	−	7.11104i	1.08442	−	1.08442i	0.996091	−	0.0883318i	$-0.0281536\pi$
$44$	−2.49200	+	4.32410i	−0.375682	+	0.651882i
$45$	−5.09523	+	11.1693i	−0.759552	+	1.66502i
$46$	0.808387	−	1.05437i	0.119190	−	0.155458i
$47$	−0.760799	−	1.31774i	−0.110974	−	0.192212i	0.805189	−	0.593018i	$-0.202064\pi$
$47$	−0.760799	−	1.31774i	−0.110974	−	0.192212i	−0.916163	+	0.400805i	$0.868730\pi$
$48$	5.28164	−	4.48378i	0.762339	−	0.647178i
$49$	−0.581630	−	6.97579i	−0.0830899	−	0.996542i
$50$	−16.4703	−	2.16178i	−2.32925	−	0.305721i
$51$	−0.329736	−	1.82542i	−0.0461722	−	0.255610i
$52$	−0.00702694	−	8.95172i	−0.000974461	−	1.24138i
$53$	0.361540	+	1.34928i	0.0496613	+	0.185339i	0.986301	−	0.164956i	$-0.0527482\pi$
$53$	0.361540	+	1.34928i	0.0496613	+	0.185339i	−0.936640	+	0.350294i	$0.886082\pi$
$54$	4.39778	−	5.88723i	0.598462	−	0.801151i
$55$	−10.2116			−1.37694
$56$	−3.15673	−	6.78491i	−0.421836	−	0.906672i
$57$	6.50299	−	3.06552i	0.861343	−	0.406038i
$58$	7.85378	+	3.24953i	1.03125	+	0.426684i
$59$	5.03046	−	1.34791i	0.654910	−	0.175482i	0.0839619	−	0.996469i	$-0.473243\pi$
$59$	5.03046	−	1.34791i	0.654910	−	0.175482i	0.570948	+	0.820986i	$0.306576\pi$
$60$	13.3448	+	4.78228i	1.72280	+	0.617389i
$61$	2.78209	+	0.745459i	0.356210	+	0.0954463i	0.432486	−	0.901640i	$-0.357636\pi$
$61$	2.78209	+	0.745459i	0.356210	+	0.0954463i	−0.0762761	+	0.997087i	$0.524303\pi$
$62$	3.33682	+	0.437968i	0.423776	+	0.0556220i
$63$	−4.87153	−	6.26643i	−0.613756	−	0.789496i
$64$	−5.67016	−	5.64352i	−0.708770	−	0.705440i
$65$	15.8622	−	9.15807i	1.96747	−	1.13592i
$66$	5.97352	+	1.29570i	0.735290	+	0.159490i
$67$	4.24429	−	1.13725i	0.518522	−	0.138938i	0.00993939	−	0.999951i	$-0.496836\pi$
$67$	4.24429	−	1.13725i	0.518522	−	0.138938i	0.508583	+	0.861013i	$0.330169\pi$
$68$	−2.06851	+	0.555996i	−0.250843	+	0.0674244i
$69$	−1.53137	−	0.550145i	−0.184356	−	0.0662297i
$70$	8.80304	−	12.5281i	1.05216	−	1.49739i
$71$			10.0893i			1.19738i	0.800980	+	0.598692i	$0.204313\pi$
$71$			10.0893i			1.19738i	−0.800980	+	0.598692i	$0.795687\pi$
$72$	−7.19953	−	4.49075i	−0.848473	−	0.529239i
$73$	2.28066	+	1.31674i	0.266931	+	0.154113i	0.627492	−	0.778623i	$-0.284081\pi$
$73$	2.28066	+	1.31674i	0.266931	+	0.154113i	−0.360561	+	0.932736i	$0.617415\pi$
$74$	−1.57658	−	11.9391i	−0.183274	−	1.38789i
$75$	3.61648	+	20.0209i	0.417595	+	2.31181i
$76$	−4.15640	−	7.18606i	−0.476772	−	0.824298i
$77$	3.06049	−	5.84997i	0.348775	−	0.666666i
$78$	−10.4410	+	3.34454i	−1.18221	+	0.378694i
$79$	−10.4135	+	6.01222i	−1.17161	+	0.676428i	−0.954058	−	0.299621i	$-0.903140\pi$
$79$	−10.4135	+	6.01222i	−1.17161	+	0.676428i	−0.217549	+	0.976049i	$0.569806\pi$
$80$	4.21173	−	15.8177i	0.470886	−	1.76847i
$81$	−8.50746	−	2.93651i	−0.945273	−	0.326279i
$82$	−1.15747	+	0.479973i	−0.127821	+	0.0530041i
$83$	4.78867	−	4.78867i	0.525625	−	0.525625i	−0.393640	−	0.919265i	$-0.628784\pi$
$83$	4.78867	−	4.78867i	0.525625	−	0.525625i	0.919265	+	0.393640i	$0.128784\pi$
$84$	−6.73915	+	6.21159i	−0.735301	+	0.677740i
$85$	−3.09897	−	3.09897i	−0.336130	−	0.336130i
$86$	−5.43739	+	13.1416i	−0.586329	+	1.41710i
$87$	0.863959	−	10.3738i	0.0926261	−	1.11219i
$88$	0.913017	−	6.99872i	0.0973279	−	0.746066i
$89$	−6.53442	−	11.3179i	−0.692647	−	1.19970i	−0.970968	−	0.239211i	$-0.923111\pi$
$89$	−6.53442	−	11.3179i	−0.692647	−	1.19970i	0.278321	−	0.960488i	$-0.410222\pi$
$90$	0.605631	−	17.3512i	0.0638391	−	1.82898i
$91$	0.492402	+	11.8318i	0.0516178	+	1.24031i
$92$	−0.484877	+	1.81528i	−0.0505519	+	0.189256i
$93$	−0.732685	−	4.05616i	−0.0759759	−	0.420604i
$94$	1.70770	+	1.30930i	0.176136	+	0.135044i
$95$	8.49287	−	14.7101i	0.871350	−	1.50922i
$96$	−4.47077	+	8.71850i	−0.456296	+	0.889828i
$97$	10.1729			1.03290			0.516450	−	0.856317i	$-0.327253\pi$
$97$	10.1729			1.03290			0.516450	+	0.856317i	$0.327253\pi$
$98$	4.53866	+	8.79776i	0.458474	+	0.888708i
$99$	−0.714715	−	7.45197i	−0.0718316	−	0.748951i
$100$	22.6870	−	6.09805i	2.26870	−	0.609805i
$101$	−1.95645	−	7.30156i	−0.194674	−	0.726532i	−0.992351	−	0.123448i	$-0.960605\pi$
$101$	−1.95645	−	7.30156i	−0.194674	−	0.726532i	0.797677	−	0.603084i	$-0.206062\pi$
$102$	1.41960	+	2.20602i	0.140561	+	0.218429i
$103$	2.83309	+	4.90706i	0.279153	+	0.483507i	0.971174	−	0.238370i	$-0.0766131\pi$
$103$	2.83309	+	4.90706i	0.279153	+	0.483507i	−0.692022	+	0.721877i	$0.743280\pi$
$104$	4.85841	+	11.6903i	0.476406	+	1.14633i
$105$	−17.8969	−	5.60089i	−1.74656	−	0.546591i
$106$	−1.20322	−	1.56679i	−0.116867	−	0.152180i
$107$	−1.06649	+	3.98019i	−0.103101	+	0.384779i	−0.998123	−	0.0612436i	$-0.980493\pi$
$107$	−1.06649	+	3.98019i	−0.103101	+	0.384779i	0.895022	+	0.446023i	$0.147160\pi$
$108$	−2.55587	+	10.0731i	−0.245939	+	0.969285i
$109$	−1.72024	−	6.42001i	−0.164769	−	0.614926i	−0.998070	−	0.0621057i	$-0.980218\pi$
$109$	−1.72024	−	6.42001i	−0.164769	−	0.614926i	0.833301	−	0.552820i	$-0.186448\pi$
$110$	13.3400	−	5.53174i	1.27192	−	0.527430i
$111$	−13.3413	+	6.28908i	−1.26630	+	0.596933i
$112$	7.79925	+	7.15344i	0.736959	+	0.675937i
$113$		−	15.3901i		−	1.44778i	−0.689915	−	0.723890i	$-0.742352\pi$
$113$		−	15.3901i		−	1.44778i	0.689915	−	0.723890i	$-0.257648\pi$
$114$	−6.83457	+	7.52737i	−0.640116	+	0.705003i
$115$	−3.71347	+	0.995022i	−0.346283	+	0.0927863i
$116$	−12.0201	+	0.00943554i	−1.11604	+	0.000876068i
$117$	7.79333	+	10.9345i	0.720493	+	1.01090i
$118$	−5.84137	+	4.48588i	−0.537741	+	0.412959i
$119$	2.70409	−	0.846536i	0.247884	−	0.0776018i
$120$	−20.0236	+	0.981660i	−1.82789	+	0.0896129i
$121$	−4.13357	+	2.38652i	−0.375779	+	0.216956i
$122$	−4.03821	+	0.533253i	−0.365602	+	0.0482784i
$123$	0.991358	+	1.17149i	0.0893877	+	0.105629i
$124$	−4.59630	+	1.23544i	−0.412760	+	0.110946i
$125$	19.5208	+	19.5208i	1.74599	+	1.74599i
$126$	9.75851	+	5.54720i	0.869357	+	0.494184i
$127$		−	20.0773i		−	1.78157i	−0.454425	−	0.890785i	$-0.650155\pi$
$127$		−	20.0773i		−	1.78157i	0.454425	−	0.890785i	$-0.349845\pi$
$128$	10.4644	+	4.30083i	0.924927	+	0.380144i
$129$	17.3583	+	1.44565i	1.52831	+	0.127282i
$130$	−15.7606	+	20.5564i	−1.38230	+	1.80291i
$131$	1.10097	+	0.295003i	0.0961919	+	0.0257745i	0.306594	−	0.951840i	$-0.400811\pi$
$131$	1.10097	+	0.295003i	0.0961919	+	0.0257745i	−0.210402	+	0.977615i	$0.567477\pi$
$132$	−8.50540	+	1.54327i	−0.740300	+	0.134325i
$133$	5.88164	+	9.27403i	0.510003	+	0.804161i
$134$	−4.92847	+	3.78482i	−0.425755	+	0.326959i
$135$	−20.4686	+	5.76029i	−1.76166	+	0.495767i
$136$	2.40101	−	1.84685i	0.205885	−	0.158366i
$137$	5.16236	−	8.94148i	0.441051	−	0.763922i	−0.556717	−	0.830702i	$-0.687939\pi$
$137$	5.16236	−	8.94148i	0.441051	−	0.763922i	0.997768	+	0.0667802i	$0.0212726\pi$
$138$	2.29853	−	0.110877i	0.195664	−	0.00943851i
$139$	1.41628	−	1.41628i	0.120128	−	0.120128i	−0.644487	−	0.764615i	$-0.722929\pi$
$139$	1.41628	−	1.41628i	0.120128	−	0.120128i	0.764615	+	0.644487i	$0.222929\pi$
$140$	−4.71330	+	21.1347i	−0.398346	+	1.78621i
$141$	0.891040	−	2.48029i	0.0750391	−	0.208878i
$142$	−5.46548	−	13.1802i	−0.458653	−	1.10606i
$143$	−5.58451	+	9.67265i	−0.467000	+	0.808868i
$144$	11.8378	+	1.96644i	0.986482	+	0.163870i
$145$	−12.2972	−	21.2993i	−1.02122	−	1.76881i
$146$	−3.69263	−	0.484669i	−0.305604	−	0.0401115i
$147$	8.57240	−	8.57403i	0.707040	−	0.707174i
$148$	8.52708	+	14.7426i	0.700922	+	1.21183i
$149$	−12.0209	−	3.22099i	−0.984791	−	0.263874i	−0.269730	−	0.962936i	$-0.586935\pi$
$149$	−12.0209	−	3.22099i	−0.984791	−	0.263874i	−0.715061	+	0.699062i	$0.753601\pi$
$150$	−15.5699	−	24.1952i	−1.27127	−	1.97553i
$151$	−5.06846	+	8.77884i	−0.412466	+	0.714412i	−0.995159	−	0.0982808i	$-0.968666\pi$
$151$	−5.06846	+	8.77884i	−0.412466	+	0.714412i	0.582693	+	0.812692i	$0.301999\pi$
$152$	9.32247	+	7.13595i	0.756152	+	0.578802i
$153$	2.04458	−	2.47838i	0.165295	−	0.200365i
$154$	−0.829089	+	9.30001i	−0.0668099	+	0.749416i
$155$	−6.88603	−	6.88603i	−0.553099	−	0.553099i
$156$	11.8278	−	10.0251i	0.946983	−	0.802651i
$157$	2.19091	+	8.17658i	0.174853	+	0.652562i	0.996577	+	0.0826750i	$0.0263464\pi$
$157$	2.19091	+	8.17658i	0.174853	+	0.652562i	−0.821723	+	0.569887i	$0.806987\pi$
$158$	10.3468	−	13.4951i	0.823145	−	1.07362i
$159$	−1.37946	+	1.98769i	−0.109399	+	0.157634i
$160$	3.06658	+	22.9450i	0.242435	+	1.81396i
$161$	0.542929	−	2.42556i	0.0427888	−	0.191161i
$162$	12.7045	−	0.772453i	0.998157	−	0.0606896i
$163$	−1.41673	+	5.28733i	−0.110967	+	0.414135i	−0.998954	−	0.0457344i	$-0.985437\pi$
$163$	−1.41673	+	5.28733i	−0.110967	+	0.414135i	0.887986	+	0.459870i	$0.152104\pi$
$164$	1.25206	−	1.25402i	0.0977693	−	0.0979229i
$165$	−11.4255	−	13.5015i	−0.889474	−	1.05109i
$166$	−3.66162	+	8.84974i	−0.284196	+	0.686873i
$167$		−	14.1824i		−	1.09747i	−0.835997	−	0.548734i	$-0.815110\pi$
$167$		−	14.1824i		−	1.09747i	0.835997	−	0.548734i	$-0.184890\pi$
$168$	5.43882	−	11.7652i	0.419614	−	0.907703i
$169$		−	7.03335i		−	0.541027i
$170$	5.72708	+	2.36960i	0.439247	+	0.181740i
$171$	11.3291	+	5.16813i	0.866361	+	0.395217i
$172$	−0.0157884	−	20.1130i	−0.00120385	−	1.53361i
$173$	−4.09443	+	15.2806i	−0.311294	+	1.16176i	0.616097	+	0.787670i	$0.288713\pi$
$173$	−4.09443	+	15.2806i	−0.311294	+	1.16176i	−0.927391	+	0.374094i	$0.877954\pi$
$174$	4.49094	+	14.0198i	0.340457	+	1.06284i
$175$	−29.6580	+	9.28464i	−2.24193	+	0.701853i
$176$	2.59855	+	9.63737i	0.195873	+	0.726444i
$177$	7.41059	+	5.14297i	0.557014	+	0.386570i
$178$	14.6673	+	11.2454i	1.09936	+	0.842882i
$179$	3.61184	+	13.4796i	0.269962	+	1.00751i	0.959143	+	0.282922i	$0.0913036\pi$
$179$	3.61184	+	13.4796i	0.269962	+	1.00751i	−0.689181	+	0.724589i	$0.742030\pi$
$180$	8.60812	+	22.9948i	0.641612	+	1.71393i
$181$	1.72824	+	1.72824i	0.128459	+	0.128459i	0.768413	−	0.639954i	$-0.221047\pi$
$181$	1.72824	+	1.72824i	0.128459	+	0.128459i	−0.639954	+	0.768413i	$0.721047\pi$
$182$	−7.05263	−	15.1897i	−0.522776	−	1.12594i
$183$	2.12718	+	4.51246i	0.157246	+	0.333571i
$184$	−0.349936	−	2.63406i	−0.0257976	−	0.194185i
$185$	−17.4236	+	30.1785i	−1.28101	+	2.21877i
$186$	3.15440	+	4.90186i	0.231292	+	0.359422i
$187$	2.58141	+	0.691686i	0.188771	+	0.0505811i
$188$	−2.94012	−	0.785329i	−0.214430	−	0.0572760i
$189$	2.83466	−	13.4523i	0.206191	−	0.978512i
$190$	−3.12608	+	23.8172i	−0.226790	+	1.72788i
$191$	−0.711212	−	1.23186i	−0.0514615	−	0.0891340i	0.839147	−	0.543904i	$-0.183055\pi$
$191$	−0.711212	−	1.23186i	−0.0514615	−	0.0891340i	−0.890609	+	0.454771i	$0.849721\pi$
$192$	1.11750	−	13.8113i	0.0806485	−	0.996743i
$193$	1.44375	−	2.50065i	0.103923	−	0.180000i	−0.809374	−	0.587293i	$-0.800194\pi$
$193$	1.44375	−	2.50065i	0.103923	−	0.180000i	0.913298	+	0.407292i	$0.133527\pi$
$194$	−13.2893	+	5.51074i	−0.954120	+	0.395648i
$195$	29.8563	+	10.7258i	2.13805	+	0.768094i
$196$	−10.6949	−	9.03432i	−0.763922	−	0.645309i
$197$	−11.6082	+	11.6082i	−0.827051	+	0.827051i	−0.987108	−	0.160057i	$-0.948832\pi$
$197$	−11.6082	+	11.6082i	−0.827051	+	0.827051i	0.160057	+	0.987108i	$0.448832\pi$
$198$	4.97047	+	9.34772i	0.353236	+	0.664313i
$199$	5.88269	−	10.1891i	0.417013	−	0.722288i	−0.578624	−	0.815594i	$-0.696410\pi$
$199$	5.88269	−	10.1891i	0.417013	−	0.722288i	0.995637	+	0.0933065i	$0.0297436\pi$
$200$	−26.3338	+	20.2559i	−1.86208	+	1.43231i
$201$	6.25245	+	4.33922i	0.441014	+	0.306065i
$202$	6.51112	+	8.47857i	0.458121	+	0.596550i
$203$	15.8873	−	0.661182i	1.11507	−	0.0464059i
$204$	−3.04951	−	2.11283i	−0.213509	−	0.147927i
$205$	3.50228	+	0.938434i	0.244610	+	0.0655431i
$206$	−6.35921	−	4.87563i	−0.443067	−	0.339701i
$207$	−0.986027	−	2.64028i	−0.0685336	−	0.183512i
$208$	−12.6795	−	12.6398i	−0.879166	−	0.876410i
$209$			10.3578i			0.716461i
$210$	26.4137	−	2.37818i	1.82272	−	0.164110i
$211$	−11.3221	−	11.3221i	−0.779446	−	0.779446i	0.200290	−	0.979737i	$-0.435811\pi$
$211$	−11.3221	−	11.3221i	−0.779446	−	0.779446i	−0.979737	+	0.200290i	$0.935811\pi$
$212$	2.42057	+	1.39498i	0.166245	+	0.0958078i
$213$	−13.3398	+	11.2887i	−0.914027	+	0.773486i
$214$	−0.762896	−	5.77725i	−0.0521505	−	0.394924i
$215$	35.6398	−	20.5767i	2.43062	−	1.40332i
$216$	−2.11782	−	14.5435i	−0.144100	−	0.989563i
$217$	6.00860	−	1.88104i	0.407890	−	0.127693i
$218$	5.72501	+	7.45492i	0.387747	+	0.504911i
$219$	0.810813	+	4.48867i	0.0547896	+	0.303316i
$220$	−14.4301	+	14.4528i	−0.972877	+	0.974406i
$221$	−4.63015	+	1.24065i	−0.311458	+	0.0834549i
$222$	14.0215	−	15.4428i	0.941062	−	1.03645i
$223$		−	1.99625i		−	0.133679i	−0.997764	−	0.0668394i	$-0.978708\pi$
$223$		−	1.99625i		−	0.133679i	0.997764	−	0.0668394i	$-0.0212915\pi$
$224$	−14.0636	−	5.11998i	−0.939666	−	0.342093i
$225$	−22.4246	+	27.1824i	−1.49497	+	1.81216i
$226$	8.33697	+	20.1049i	0.554567	+	1.33736i
$227$	2.27669	+	8.49671i	0.151109	+	0.563946i	0.999407	+	0.0344276i	$0.0109608\pi$
$227$	2.27669	+	8.49671i	0.151109	+	0.563946i	−0.848298	+	0.529519i	$0.822373\pi$
$228$	4.85070	−	13.5357i	0.321246	−	0.896426i
$229$	1.10464	−	4.12257i	0.0729967	−	0.272427i	−0.919775	−	0.392446i	$-0.871629\pi$
$229$	1.10464	−	4.12257i	0.0729967	−	0.272427i	0.992772	+	0.120019i	$0.0382956\pi$
$230$	4.31209	−	3.31147i	0.284331	−	0.218352i
$231$	11.1589	−	2.49888i	0.734204	−	0.164414i
$232$	15.6973	−	6.52371i	1.03058	−	0.428303i
$233$	−1.22164	−	2.11594i	−0.0800323	−	0.138620i	0.823231	−	0.567706i	$-0.192169\pi$
$233$	−1.22164	−	2.11594i	−0.0800323	−	0.138620i	−0.903264	+	0.429086i	$0.858836\pi$
$234$	−16.1042	−	10.0626i	−1.05276	−	0.657814i
$235$	−1.61158	−	6.01452i	−0.105128	−	0.392344i
$236$	5.20083	−	9.02445i	0.338545	−	0.587442i
$237$	−19.6005	−	7.04146i	−1.27319	−	0.457392i
$238$	−3.07392	+	2.57070i	−0.199253	+	0.166634i
$239$	17.2009			1.11263			0.556317	−	0.830970i	$-0.312214\pi$
$239$	17.2009			1.11263			0.556317	+	0.830970i	$0.312214\pi$
$240$	25.6260	−	12.1293i	1.65415	−	0.782945i
$241$	−13.9862	+	24.2248i	−0.900932	+	1.56046i	−0.0746447	+	0.997210i	$0.523782\pi$
$241$	−13.9862	+	24.2248i	−0.900932	+	1.56046i	−0.826287	+	0.563249i	$0.809551\pi$
$242$	4.10709	−	5.35682i	0.264014	−	0.344349i
$243$	−5.63619	−	14.5339i	−0.361562	−	0.932348i
$244$	4.98645	−	2.88415i	0.319225	−	0.184639i
$245$	5.08930	−	28.1897i	0.325143	−	1.80097i
$246$	−1.92967	−	0.993344i	−0.123031	−	0.0633333i
$247$	−9.28911	−	16.0892i	−0.591052	−	1.02373i
$248$	5.33513	−	4.10378i	0.338781	−	0.260590i
$249$	11.6893	+	0.973521i	0.740781	+	0.0616944i
$250$	−36.0755	−	14.9264i	−2.28162	−	0.944028i
$251$	−7.80090	−	7.80090i	−0.492389	−	0.492389i	0.416670	−	0.909058i	$-0.363197\pi$
$251$	−7.80090	−	7.80090i	−0.492389	−	0.492389i	−0.909058	+	0.416670i	$0.863197\pi$
$252$	−15.7530	−	1.96032i	−0.992346	−	0.123488i
$253$	1.65769	−	1.65769i	0.104218	−	0.104218i
$254$	10.8760	+	26.2280i	0.682423	+	1.64569i
$255$	0.630010	−	7.56470i	0.0394528	−	0.473720i
$256$	−15.9999	+	0.0502387i	−0.999995	+	0.00313992i
$257$	−18.8680	+	10.8934i	−1.17695	+	0.679515i	−0.955308	−	0.295613i	$-0.904476\pi$
$257$	−18.8680	+	10.8934i	−1.17695	+	0.679515i	−0.221646	+	0.975127i	$0.571143\pi$
$258$	−23.4592	+	7.51463i	−1.46050	+	0.467840i
$259$	−12.0665	−	19.0262i	−0.749777	−	1.18223i
$260$	9.45335	−	35.3915i	0.586272	−	2.19489i
$261$	14.6825	−	10.4646i	0.908827	−	0.647744i
$262$	−1.59805	+	0.211026i	−0.0987281	+	0.0130372i
$263$	−20.5032	−	11.8375i	−1.26428	−	0.729933i	−0.290381	−	0.956911i	$-0.593782\pi$
$263$	−20.5032	−	11.8375i	−1.26428	−	0.729933i	−0.973900	+	0.226978i	$0.927115\pi$
$264$	10.2750	−	6.62351i	0.632385	−	0.407649i
$265$			5.71633i			0.351151i
$266$	−12.7073	−	8.92900i	−0.779135	−	0.547472i
$267$	7.65305	−	21.3029i	0.468359	−	1.30372i
$268$	4.38804	−	7.61410i	0.268042	−	0.465105i
$269$	−6.76854	+	1.81362i	−0.412685	+	0.110579i	−0.459187	−	0.888340i	$-0.651859\pi$
$269$	−6.76854	+	1.81362i	−0.412685	+	0.110579i	0.0465021	+	0.998918i	$0.485193\pi$
$270$	23.6188	−	18.6130i	1.43739	−	1.13275i
$271$	−2.84403	+	1.64200i	−0.172763	+	0.0997447i	−0.583888	−	0.811834i	$-0.698469\pi$
$271$	−2.84403	+	1.64200i	−0.172763	+	0.0997447i	0.411125	+	0.911579i	$0.365136\pi$
$272$	−2.13610	+	3.71329i	−0.129520	+	0.225151i
$273$	−15.0927	+	13.8893i	−0.913449	+	0.840617i
$274$	−1.90018	+	14.4772i	−0.114794	+	0.874600i
$275$	−28.3124	−	7.58629i	−1.70730	−	0.457470i
$276$	−2.94262	+	1.38998i	−0.177125	+	0.0836669i
$277$	0.407471	−	0.109181i	0.0244825	−	0.00656008i	−0.246557	−	0.969128i	$-0.579299\pi$
$277$	0.407471	−	0.109181i	0.0244825	−	0.00656008i	0.271040	+	0.962568i	$0.412633\pi$
$278$	−1.08295	+	2.61737i	−0.0649509	+	0.156980i
$279$	4.54314	−	5.50705i	0.271991	−	0.329699i
$280$	−5.29165	−	30.1626i	−0.316236	−	1.80256i
$281$	18.3789			1.09639			0.548195	−	0.836350i	$-0.315315\pi$
$281$	18.3789			1.09639			0.548195	+	0.836350i	$0.315315\pi$
$282$	0.179582	+	3.72281i	0.0106940	+	0.221690i
$283$	3.25159	+	12.1351i	0.193287	+	0.721357i	0.992704	+	0.120580i	$0.0384754\pi$
$283$	3.25159	+	12.1351i	0.193287	+	0.721357i	−0.799417	+	0.600777i	$0.794858\pi$
$284$	14.2797	+	14.2573i	0.847342	+	0.846013i
$285$	28.9516	−	5.22968i	1.71495	−	0.309780i
$286$	2.05556	−	15.6611i	0.121548	−	0.926057i
$287$	−1.58726	+	1.72511i	−0.0936930	+	0.101830i
$288$	−16.5295	+	3.84377i	−0.974012	+	0.226497i
$289$	−7.92652	−	13.7291i	−0.466266	−	0.807596i
$290$	27.6024	+	21.1629i	1.62087	+	1.24273i
$291$	11.3821	+	13.4503i	0.667233	+	0.788468i
$292$	5.08641	−	1.36718i	0.297660	−	0.0800082i
$293$	−21.6173	+	21.6173i	−1.26290	+	1.26290i	−0.313213	+	0.949683i	$0.601405\pi$
$293$	−21.6173	+	21.6173i	−1.26290	+	1.26290i	−0.949683	+	0.313213i	$0.898595\pi$
$294$	−6.55394	+	15.8444i	−0.382233	+	0.924066i
$295$	21.3118			1.24082
$296$	−19.1256	−	14.6398i	−1.11165	−	0.850921i
$297$	9.05308	−	9.28277i	0.525313	−	0.538641i
$298$	17.4484	−	2.30409i	1.01076	−	0.133472i
$299$	−1.08831	+	4.06163i	−0.0629386	+	0.234890i
$300$	33.4465	+	23.1731i	1.93103	+	1.33790i
$301$	1.10635	+	26.5841i	0.0637688	+	1.53228i
$302$	1.86562	−	14.2139i	0.107354	−	0.817916i
$303$	7.46488	−	10.7563i	0.428846	−	0.617931i
$304$	−16.0440	−	4.27200i	−0.920187	−	0.245016i
$305$	10.2074	+	5.89325i	0.584474	+	0.337446i
$306$	−1.32838	+	4.34520i	−0.0759386	+	0.248398i
$307$	6.01862	+	6.01862i	0.343501	+	0.343501i	0.857682	−	0.514181i	$-0.171904\pi$
$307$	6.01862	+	6.01862i	0.343501	+	0.343501i	−0.514181	+	0.857682i	$0.671904\pi$
$308$	−3.95481	−	12.5982i	−0.225346	−	0.717849i
$309$	−3.31809	+	9.23619i	−0.188760	+	0.525428i
$310$	12.7258	+	5.26534i	0.722776	+	0.299051i
$311$	−9.96879	−	5.75549i	−0.565278	−	0.326364i	0.189983	−	0.981787i	$-0.439157\pi$
$311$	−9.96879	−	5.75549i	−0.565278	−	0.326364i	−0.755261	+	0.655424i	$0.772490\pi$
$312$	−10.0206	+	19.5035i	−0.567304	+	1.10417i
$313$	−10.9654	+	6.33085i	−0.619799	+	0.357841i	−0.776791	−	0.629759i	$-0.783154\pi$
$313$	−10.9654	+	6.33085i	−0.619799	+	0.357841i	0.156992	+	0.987600i	$0.449820\pi$
$314$	−7.29142	−	9.49464i	−0.411479	−	0.535814i
$315$	−12.6190	−	29.9294i	−0.711000	−	1.68633i
$316$	−6.20607	+	23.2343i	−0.349119	+	1.30703i
$317$	4.19948	−	15.6727i	0.235866	−	0.880264i	−0.741890	−	0.670521i	$-0.766071\pi$
$317$	4.19948	−	15.6727i	0.235866	−	0.880264i	0.977756	−	0.209743i	$-0.0672628\pi$
$318$	0.725314	−	3.34389i	0.0406736	−	0.187516i
$319$	12.9881	+	7.49870i	0.727195	+	0.419846i
$320$	−16.4355	−	28.3130i	−0.918774	−	1.58274i
$321$	−6.45574	+	3.04324i	−0.360324	+	0.169857i
$322$	0.604694	+	3.46274i	0.0336983	+	0.192971i
$323$	−3.14331	+	3.14331i	−0.174898	+	0.174898i
$324$	−16.1780	+	7.89121i	−0.898780	+	0.438401i
$325$	50.7826	−	13.6072i	2.81691	−	0.754790i
$326$	−1.01344	−	7.67456i	−0.0561292	−	0.425054i
$327$	6.56361	−	9.45761i	0.362968	−	0.523007i
$328$	−0.956310	+	2.31645i	−0.0528034	+	0.127904i
$329$	3.92856	+	0.879353i	0.216588	+	0.0484803i
$330$	22.2396	+	11.4484i	1.22425	+	0.630213i
$331$	8.39921	+	2.25056i	0.461662	+	0.123702i	0.482151	−	0.876088i	$-0.339856\pi$
$331$	8.39921	+	2.25056i	0.461662	+	0.123702i	−0.0204889	+	0.999790i	$0.506522\pi$
$332$	−0.0106321	−	13.5444i	−0.000583512	−	0.743345i
$333$	−23.2424	−	10.6027i	−1.27367	−	0.581025i
$334$	7.68274	+	18.5272i	0.420381	+	1.01376i
$335$	17.9812			0.982417
$336$	−0.731703	+	18.3157i	−0.0399177	+	0.999203i
$337$	24.9112			1.35700			0.678500	−	0.734600i	$-0.262630\pi$
$337$	24.9112			1.35700			0.678500	+	0.734600i	$0.262630\pi$
$338$	3.81003	+	9.18801i	0.207238	+	0.499762i
$339$	20.3483	−	17.2196i	1.10517	−	0.935238i
$340$	−8.76520	+	0.00688052i	−0.475360	+	0.000373149i
$341$	5.73599	+	1.53695i	0.310621	+	0.0832307i
$342$	−17.5994	−	0.614297i	−0.951669	−	0.0332174i
$343$	14.6238	+	11.3641i	0.789612	+	0.613606i
$344$	10.9160	+	26.2661i	0.588553	+	1.41617i
$345$	−5.47048	−	3.79653i	−0.294521	−	0.204399i
$346$	−2.92889	−	22.1798i	−0.157458	−	1.19240i
$347$	0.291837	−	0.0781976i	0.0156667	−	0.00419787i	−0.250977	−	0.967993i	$-0.580752\pi$
$347$	0.291837	−	0.0781976i	0.0156667	−	0.00419787i	0.266644	+	0.963795i	$0.414085\pi$
$348$	−13.4614	−	15.8820i	−0.721607	−	0.851365i
$349$	−23.9744	+	23.9744i	−1.28332	+	1.28332i	−0.344557	+	0.938765i	$0.611971\pi$
$349$	−23.9744	+	23.9744i	−1.28332	+	1.28332i	−0.938765	+	0.344557i	$0.888029\pi$
$350$	33.7141	−	28.1950i	1.80210	−	1.50709i
$351$	−5.73757	+	22.5384i	−0.306249	+	1.20301i
$352$	−8.61527	−	11.1821i	−0.459195	−	0.596010i
$353$	−0.805285	−	0.464932i	−0.0428610	−	0.0247458i	0.478416	−	0.878133i	$-0.341211\pi$
$353$	−0.805285	−	0.464932i	−0.0428610	−	0.0247458i	−0.521277	+	0.853387i	$0.674544\pi$
$354$	−12.4668	−	2.70414i	−0.662604	−	0.143724i
$355$	−10.6860	+	39.8808i	−0.567155	+	2.11665i
$356$	−25.2524	−	6.74511i	−1.33837	−	0.357490i
$357$	4.14479	+	2.62810i	0.219366	+	0.139094i
$358$	−12.0203	−	15.6525i	−0.635294	−	0.827259i
$359$	−1.97133	+	1.13815i	−0.104043	+	0.0600693i	−0.551119	−	0.834427i	$-0.685799\pi$
$359$	−1.97133	+	1.13815i	−0.104043	+	0.0600693i	0.447076	+	0.894496i	$0.352465\pi$
$360$	−23.7017	−	25.3762i	−1.24919	−	1.33744i
$361$	1.53392	+	0.885612i	0.0807329	+	0.0466111i
$362$	−3.19389	−	1.32148i	−0.167867	−	0.0694557i
$363$	−7.78031	−	2.79507i	−0.408360	−	0.146703i
$364$	17.4416	+	16.0226i	0.914189	+	0.839813i
$365$	7.62029	+	7.62029i	0.398864	+	0.398864i
$366$	−5.22328	−	4.74255i	−0.273025	−	0.247897i
$367$	29.7658	+	17.1853i	1.55376	+	0.897066i	0.997830	+	0.0658403i	$0.0209728\pi$
$367$	29.7658	+	17.1853i	1.55376	+	0.897066i	0.555934	+	0.831226i	$0.312361\pi$
$368$	1.88403	+	3.25144i	0.0982119	+	0.169493i
$369$	−0.439699	+	2.62148i	−0.0228898	+	0.136469i
$370$	6.41333	−	48.8623i	0.333413	−	2.54023i
$371$	−3.27473	−	1.71322i	−0.170015	−	0.0889458i
$372$	−6.77614	−	4.69478i	−0.351326	−	0.243413i
$373$	−5.58733	+	20.8522i	−0.289301	+	1.07969i	0.656338	+	0.754467i	$0.272105\pi$
$373$	−5.58733	+	20.8522i	−0.289301	+	1.07969i	−0.945639	+	0.325219i	$0.894562\pi$
$374$	−3.74692	+	0.494787i	−0.193749	+	0.0255848i
$375$	−3.96851	+	47.6509i	−0.204933	+	2.46068i
$376$	4.26624	−	0.566773i	0.220015	−	0.0292291i
$377$	−26.9001			−1.38543
$378$	3.58418	+	19.1090i	0.184351	+	0.982861i
$379$	−22.3426	+	22.3426i	−1.14766	+	1.14766i	−0.160653	+	0.987011i	$0.551360\pi$
$379$	−22.3426	+	22.3426i	−1.14766	+	1.14766i	−0.987011	+	0.160653i	$0.948640\pi$
$380$	−8.81822	−	32.8070i	−0.452365	−	1.68296i
$381$	26.5455	−	22.4639i	1.35997	−	1.15086i
$382$	1.59640	+	1.22397i	0.0816789	+	0.0626235i
$383$	10.6867	+	18.5100i	0.546067	+	0.945815i	0.998539	+	0.0540368i	$0.0172088\pi$
$383$	10.6867	+	18.5100i	0.546067	+	0.945815i	−0.452472	+	0.891779i	$0.649458\pi$
$384$	6.02184	+	18.6477i	0.307301	+	0.951612i
$385$	18.2933	−	19.8821i	0.932315	−	1.01328i
$386$	−0.531420	+	4.04881i	−0.0270486	+	0.206079i
$387$	17.5103	+	24.5681i	0.890100	+	1.24887i
$388$	14.3753	−	14.3979i	0.729797	−	0.730943i
$389$	5.00453	+	18.6771i	0.253739	+	0.946969i	0.968787	+	0.247893i	$0.0797382\pi$
$389$	5.00453	+	18.6771i	0.253739	+	0.946969i	−0.715048	+	0.699075i	$0.753595\pi$
$390$	−44.8131	+	2.16171i	−2.26920	+	0.109462i
$391$	1.00613			0.0508822
$392$	18.8653	+	6.00846i	0.952840	+	0.303473i
$393$	0.841796	+	1.78573i	0.0424630	+	0.0900783i
$394$	8.87612	−	21.4527i	0.447173	−	1.08077i
$395$	−47.5298	+	12.7356i	−2.39148	+	0.640796i
$396$	−11.5569	−	9.51885i	−0.580757	−	0.478340i
$397$	7.86454	+	2.10730i	0.394710	+	0.105762i	0.450714	−	0.892668i	$-0.351169\pi$
$397$	7.86454	+	2.10730i	0.394710	+	0.105762i	−0.0560043	+	0.998431i	$0.517836\pi$
$398$	−2.16532	+	16.4973i	−0.108538	+	0.826933i
$399$	−5.68103	+	18.1530i	−0.284407	+	0.908785i
$400$	23.4283	−	40.7266i	1.17142	−	2.03633i
$401$	14.4219	−	8.32650i	0.720196	−	0.415806i	−0.0946286	−	0.995513i	$-0.530166\pi$
$401$	14.4219	−	8.32650i	0.720196	−	0.415806i	0.814825	+	0.579707i	$0.196833\pi$
$402$	−10.5185	−	2.28154i	−0.524615	−	0.113793i
$403$	−10.2884	+	2.75676i	−0.512501	+	0.137324i
$404$	−13.0987	−	7.54885i	−0.651686	−	0.375569i
$405$	−30.5178	−	20.6179i	−1.51644	−	1.02451i
$406$	−20.3962	+	9.47004i	−1.01225	+	0.469990i
$407$		−	21.2495i		−	1.05330i
$408$	5.12827	+	1.10814i	0.253887	+	0.0548613i
$409$	1.20178	+	0.693847i	0.0594241	+	0.0343085i	0.529418	−	0.848361i	$-0.322410\pi$
$409$	1.20178	+	0.693847i	0.0594241	+	0.0343085i	−0.469994	+	0.882670i	$0.655744\pi$
$410$	−5.08357	+	0.671295i	−0.251060	+	0.0331529i
$411$	17.5982	−	3.17885i	0.868053	−	0.156801i
$412$	10.9485	+	2.92444i	0.539395	+	0.144077i
$413$	−6.38728	+	12.2090i	−0.314298	+	0.600764i
$414$	2.71836	+	2.91499i	0.133600	+	0.143264i
$415$	24.0004	−	13.8566i	1.17813	−	0.680194i
$416$	23.4110	+	9.64335i	1.14782	+	0.472804i
$417$	3.45720	+	0.287926i	0.169300	+	0.0140998i
$418$	−5.61089	−	13.5309i	−0.274437	−	0.661816i
$419$	8.67201	−	8.67201i	0.423656	−	0.423656i	−0.462805	−	0.886460i	$-0.653157\pi$
$419$	8.67201	−	8.67201i	0.423656	−	0.423656i	0.886460	+	0.462805i	$0.153157\pi$
$420$	−33.2172	+	17.4153i	−1.62083	+	0.849777i
$421$	−26.3207	−	26.3207i	−1.28279	−	1.28279i	−0.939073	−	0.343718i	$-0.888314\pi$
$421$	−26.3207	−	26.3207i	−1.28279	−	1.28279i	−0.343718	−	0.939073i	$-0.611686\pi$
$422$	20.9239	+	8.65736i	1.01856	+	0.421434i
$423$	4.27631	−	1.59702i	0.207922	−	0.0776496i
$424$	−3.91778	−	0.511094i	−0.190264	−	0.0248209i
$425$	−6.28984	−	10.8943i	−0.305102	−	0.528452i
$426$	11.3113	−	21.9732i	0.548033	−	1.06461i
$427$	−6.43530	+	4.08131i	−0.311426	+	0.197508i
$428$	4.12619	+	7.13384i	0.199447	+	0.344827i
$429$	−19.0372	+	3.43879i	−0.919125	+	0.166026i
$430$	−35.4116	+	46.1868i	−1.70770	+	2.22732i
$431$	−15.4058	+	26.6836i	−0.742070	+	1.28530i	0.209481	+	0.977813i	$0.432823\pi$
$431$	−15.4058	+	26.6836i	−0.742070	+	1.28530i	−0.951551	+	0.307491i	$0.900511\pi$
$432$	10.6450	+	17.8517i	0.512157	+	0.858892i
$433$	−19.6433			−0.943997			−0.471999	−	0.881599i	$-0.656467\pi$
$433$	−19.6433			−0.943997			−0.471999	+	0.881599i	$0.656467\pi$
$434$	−6.83037	+	5.71220i	−0.327868	+	0.274195i
$435$	14.4023	−	40.0901i	0.690538	−	1.92217i
$436$	−11.5173	−	6.63745i	−0.551577	−	0.317876i
$437$	1.00926	+	3.76661i	0.0482794	+	0.180181i
$438$	−3.49076	−	5.42455i	−0.166795	−	0.259195i
$439$	−9.94349	−	17.2226i	−0.474577	−	0.821991i	0.524999	−	0.851103i	$-0.324066\pi$
$439$	−9.94349	−	17.2226i	−0.474577	−	0.821991i	−0.999576	+	0.0291113i	$0.990732\pi$
$440$	11.0216	−	26.6973i	0.525433	−	1.27274i
$441$	20.9277	+	1.74093i	0.996558	+	0.0829012i
$442$	5.37653	−	4.12891i	0.255736	−	0.196392i
$443$	0.303376	−	1.13221i	0.0144138	−	0.0537932i	−0.958344	−	0.285615i	$-0.907802\pi$
$443$	0.303376	−	1.13221i	0.0144138	−	0.0537932i	0.972758	+	0.231822i	$0.0744687\pi$
$444$	−9.95149	+	27.7693i	−0.472277	+	1.31787i
$445$	−13.8417	−	51.6580i	−0.656161	−	2.44883i
$446$	1.08139	+	2.60780i	0.0512051	+	0.123483i
$447$	−9.19115	−	19.4975i	−0.434727	−	0.922202i
$448$	21.1456	−	0.929902i	0.999034	−	0.0439337i
$449$		−	9.68545i		−	0.457085i	−0.973534	−	0.228542i	$-0.926604\pi$
$449$		−	9.68545i		−	0.457085i	0.973534	−	0.228542i	$-0.0733959\pi$
$450$	14.5694	−	47.6573i	0.686810	−	2.24659i
$451$	−2.13566	+	0.572249i	−0.100564	+	0.0269461i
$452$	−21.7820	−	21.7478i	−1.02454	−	1.02293i
$453$	−17.2781	+	3.12103i	−0.811794	+	0.146639i
$454$	−7.57689	−	9.86638i	−0.355601	−	0.463052i
$455$	−10.5852	+	47.2898i	−0.496240	+	2.21698i
$456$	0.995706	+	20.3101i	0.0466282	+	0.951106i
$457$	−7.90844	+	4.56594i	−0.369941	+	0.213586i	−0.673433	−	0.739248i	$-0.735181\pi$
$457$	−7.90844	+	4.56594i	−0.369941	+	0.213586i	0.303492	+	0.952834i	$0.401848\pi$
$458$	0.790187	+	5.98392i	0.0369230	+	0.279610i
$459$	5.56446	−	0.0697035i	0.259727	−	0.00325348i
$460$	−3.83924	+	6.66183i	−0.179006	+	0.310610i
$461$	26.6576	+	26.6576i	1.24157	+	1.24157i	0.959351	+	0.282216i	$0.0910694\pi$
$461$	26.6576	+	26.6576i	1.24157	+	1.24157i	0.282216	+	0.959351i	$0.408931\pi$
$462$	−13.2238	+	9.30931i	−0.615227	+	0.433108i
$463$			1.79112i			0.0832402i	0.999134	+	0.0416201i	$0.0132519\pi$
$463$			1.79112i			0.0832402i	−0.999134	+	0.0416201i	$0.986748\pi$
$464$	−16.9723	+	17.0256i	−0.787917	+	0.790395i
$465$	1.39991	−	16.8091i	0.0649192	−	0.779501i
$466$	2.74211	+	2.10239i	0.127026	+	0.0973913i
$467$	−14.4587	−	3.87420i	−0.669069	−	0.179277i	−0.0917338	−	0.995784i	$-0.529241\pi$
$467$	−14.4587	−	3.87420i	−0.669069	−	0.179277i	−0.577336	+	0.816507i	$0.695908\pi$
$468$	26.4887	+	4.42155i	1.22444	+	0.204386i
$469$	−5.38907	+	10.3009i	−0.248844	+	0.475653i
$470$	5.36341	+	6.98406i	0.247396	+	0.322150i
$471$	−8.35947	+	12.0453i	−0.385184	+	0.555017i
$472$	−1.90548	+	14.6064i	−0.0877068	+	0.672315i
$473$	−12.5475	+	21.7329i	−0.576933	+	0.999278i
$474$	29.4195	−	1.41915i	1.35128	−	0.0651838i
$475$	34.4752	−	34.4752i	1.58183	−	1.58183i
$476$	2.62304	−	5.02341i	0.120227	−	0.230248i
$477$	−4.17151	+	0.400087i	−0.191000	+	0.0183187i
$478$	−22.4704	+	9.31789i	−1.02777	+	0.426190i
$479$	12.6505	−	21.9113i	0.578016	−	1.00115i	−0.417690	−	0.908589i	$-0.637160\pi$
$479$	12.6505	−	21.9113i	0.578016	−	1.00115i	0.995707	−	0.0925643i	$-0.0295064\pi$
$480$	−26.9060	+	29.7270i	−1.22809	+	1.35685i
$481$	19.0571	+	33.0079i	0.868930	+	1.50503i
$482$	5.14809	−	39.2226i	0.234489	−	1.78654i
$483$	3.81447	−	1.99605i	0.173564	−	0.0908234i
$484$	−2.46347	+	9.22273i	−0.111976	+	0.419215i
$485$	40.2110	+	10.7745i	1.82589	+	0.489245i
$486$	15.2360	+	15.9332i	0.691117	+	0.722743i
$487$	−7.11842	+	12.3295i	−0.322566	+	0.558701i	−0.981017	−	0.193923i	$-0.937879\pi$
$487$	−7.11842	+	12.3295i	−0.322566	+	0.558701i	0.658450	+	0.752624i	$0.271212\pi$
$488$	−4.95168	+	6.46891i	−0.224152	+	0.292834i
$489$	−8.57588	+	4.04267i	−0.387814	+	0.182816i
$490$	8.62220	+	39.5825i	0.389511	+	1.78816i
$491$	6.17721	+	6.17721i	0.278773	+	0.278773i	0.832619	−	0.553846i	$-0.186840\pi$
$491$	6.17721	+	6.17721i	0.278773	+	0.278773i	−0.553846	+	0.832619i	$0.686840\pi$
$492$	3.05892	+	0.252338i	0.137907	+	0.0113763i
$493$	1.66590	+	6.21722i	0.0750283	+	0.280009i
$494$	20.8505	+	15.9861i	0.938108	+	0.719251i
$495$	5.06758	−	30.2129i	0.227771	−	1.35797i
$496$	−4.74650	+	8.25107i	−0.213124	+	0.370484i
$497$	−19.6439	−	18.0742i	−0.881151	−	0.810740i
$498$	−15.7977	+	5.06045i	−0.707913	+	0.226764i
$499$	3.35592	−	12.5244i	0.150231	−	0.560671i	−0.849235	−	0.528015i	$-0.822937\pi$
$499$	3.35592	−	12.5244i	0.150231	−	0.560671i	0.999467	−	0.0326566i	$-0.0103968\pi$
$500$	55.2130	−	0.0433412i	2.46920	−	0.00193828i
$501$	18.7515	−	15.8683i	0.837757	−	0.708943i
$502$	14.4165	+	5.96489i	0.643441	+	0.266226i
$503$			10.0330i			0.447349i	0.974664	+	0.223675i	$0.0718053\pi$
$503$			10.0330i			0.447349i	−0.974664	+	0.223675i	$0.928195\pi$
$504$	21.6409	−	5.97268i	0.963961	−	0.266044i
$505$		−	30.9335i		−	1.37652i
$506$	−1.26754	+	3.06350i	−0.0563489	+	0.136189i
$507$	9.29926	−	7.86941i	0.412995	−	0.349493i
$508$	−28.4158	−	28.3713i	−1.26075	−	1.25877i
$509$	−5.54270	+	20.6856i	−0.245676	+	0.916874i	0.727367	+	0.686249i	$0.240744\pi$
$509$	−5.54270	+	20.6856i	−0.245676	+	0.916874i	−0.973043	+	0.230625i	$0.925923\pi$
$510$	3.27485	+	10.2234i	0.145013	+	0.452701i
$511$	−6.64931	+	2.08161i	−0.294148	+	0.0920851i
$512$	20.8743	−	8.73293i	0.922522	−	0.385945i
$513$	5.84271	+	20.7615i	0.257962	+	0.916642i
$514$	18.7471	−	24.4516i	0.826901	−	1.07851i
$515$	6.00128	+	22.3971i	0.264448	+	0.986934i
$516$	26.5752	−	22.5248i	1.16991	−	0.991598i
$517$	2.68487	+	2.68487i	0.118080	+	0.118080i
$518$	26.0698	+	18.3183i	1.14544	+	0.804861i
$519$	−24.7847	+	11.6835i	−1.08793	+	0.512850i
$520$	6.82250	+	51.3547i	0.299186	+	2.25205i
$521$	22.6020	−	39.1479i	0.990214	−	1.71510i	0.374245	−	0.927330i	$-0.377902\pi$
$521$	22.6020	−	39.1479i	0.990214	−	1.71510i	0.615969	−	0.787771i	$-0.288765\pi$
$522$	−13.5118	+	21.6241i	−0.591394	+	0.946463i
$523$	−35.0069	−	9.38006i	−1.53074	−	0.410161i	−0.607482	−	0.794333i	$-0.707820\pi$
$523$	−35.0069	−	9.38006i	−1.53074	−	0.410161i	−0.923262	+	0.384172i	$0.874487\pi$
$524$	1.97330	−	1.14135i	0.0862041	−	0.0498603i
$525$	−45.4593	−	28.8245i	−1.98401	−	1.25800i
$526$	33.1969	+	4.35719i	1.44745	+	0.189983i
$527$	1.27430	+	2.20715i	0.0555093	+	0.0961450i
$528$	−9.83478	+	14.2187i	−0.428004	+	0.618789i
$529$	−11.0587	+	19.1542i	−0.480813	+	0.832793i
$530$	−3.09659	−	7.46753i	−0.134507	−	0.324369i
$531$	1.49162	+	15.5524i	0.0647308	+	0.674915i
$532$	21.4371	+	4.78074i	0.929417	+	0.207271i
$533$	2.80422	−	2.80422i	0.121464	−	0.121464i
$534$	1.54241	+	31.9748i	0.0667467	+	1.38368i
$535$	−8.43115	+	14.6032i	−0.364511	+	0.631351i
$536$	−1.60769	+	12.3237i	−0.0694416	+	0.532304i
$537$	−13.7811	+	19.8574i	−0.594697	+	0.856908i
$538$	7.85963	−	6.03581i	0.338853	−	0.260222i
$539$	5.90728	+	16.4385i	0.254445	+	0.708058i
$540$	−20.7716	+	37.1096i	−0.893868	+	1.59694i
$541$	11.6564	+	3.12332i	0.501147	+	0.134282i	0.500532	−	0.865718i	$-0.333138\pi$
$541$	11.6564	+	3.12332i	0.501147	+	0.134282i	0.000614539		1.00000i	$0.499804\pi$
$542$	2.82582	−	3.68567i	0.121379	−	0.158313i
$543$	−0.351346	+	4.21870i	−0.0150777	+	0.181042i
$544$	0.778976	−	6.00800i	0.0333983	−	0.257591i
$545$		−	27.1988i		−	1.16507i
$546$	12.1924	−	26.3201i	0.521785	−	1.12640i
$547$	13.7632	+	13.7632i	0.588474	+	0.588474i	0.937218	−	0.348744i	$-0.113392\pi$
$547$	13.7632	+	13.7632i	0.588474	+	0.588474i	−0.348744	+	0.937218i	$0.613392\pi$
$548$	−5.36013	−	19.9416i	−0.228973	−	0.851865i
$549$	−3.58620	+	7.86135i	−0.153055	+	0.335514i
$550$	41.0955	−	5.42673i	1.75232	−	0.231397i
$551$	−21.6041	+	12.4731i	−0.920364	+	0.531372i
$552$	3.09113	−	3.40985i	0.131567	−	0.145133i
$553$	6.94910	−	31.0455i	0.295506	−	1.32019i
$554$	−0.473155	+	0.363360i	−0.0201024	+	0.0154377i
$555$	−59.3958	+	10.7290i	−2.52121	+	0.455420i
$556$	−0.00314452	−	4.00585i	−0.000133357	−	0.169886i
$557$	25.6188	−	6.86454i	1.08550	−	0.290860i	0.328655	−	0.944450i	$-0.393405\pi$
$557$	25.6188	−	6.86454i	1.08550	−	0.290860i	0.756848	+	0.653590i	$0.226738\pi$
$558$	−2.95172	+	9.65520i	−0.124956	+	0.408737i
$559$		−	45.0116i		−	1.90379i
$560$	23.2521	+	36.5364i	0.982580	+	1.54394i
$561$	1.97374	+	4.18696i	0.0833313	+	0.176774i
$562$	−24.0092	+	9.95599i	−1.01277	+	0.419968i
$563$	−7.79468	−	29.0901i	−0.328507	−	1.22600i	−0.910740	−	0.412981i	$-0.864488\pi$
$563$	−7.79468	−	29.0901i	−0.328507	−	1.22600i	0.582233	−	0.813022i	$-0.302179\pi$
$564$	−2.25128	−	4.76601i	−0.0947958	−	0.200685i
$565$	16.3003	−	60.8335i	0.685759	−	2.55929i
$566$	−10.8214	−	14.0913i	−0.454858	−	0.592301i
$567$	20.9578	−	11.3035i	0.880146	−	0.474703i
$568$	−26.3775	−	10.8896i	−1.10678	−	0.456916i
$569$	−7.91884	−	13.7158i	−0.331975	−	0.574997i	0.650924	−	0.759143i	$-0.274382\pi$
$569$	−7.91884	−	13.7158i	−0.331975	−	0.574997i	−0.982899	+	0.184145i	$0.941048\pi$
$570$	−34.9880	+	22.5151i	−1.46549	+	0.943056i
$571$	−8.65940	−	32.3173i	−0.362385	−	1.35244i	−0.870932	−	0.491404i	$-0.836484\pi$
$571$	−8.65940	−	32.3173i	−0.362385	−	1.35244i	0.508547	−	0.861034i	$-0.330183\pi$
$572$	5.79844	+	21.5723i	0.242445	+	0.901985i
$573$	0.832965	−	2.31863i	0.0347976	−	0.0968621i
$574$	1.13901	−	3.11343i	0.0475413	−	0.129952i
$575$	−11.0350			−0.460193
$576$	19.5112	−	13.9755i	0.812965	−	0.582313i
$577$	−0.855135	+	1.48114i	−0.0355997	+	0.0616605i	−0.883276	−	0.468853i	$-0.844667\pi$
$577$	−0.855135	+	1.48114i	−0.0355997	+	0.0616605i	0.847677	+	0.530513i	$0.178001\pi$
$578$	17.7920	+	13.6412i	0.740050	+	0.567399i
$579$	4.92164	−	0.889023i	0.204537	−	0.0369465i
$580$	−47.5226	−	12.6937i	−1.97327	−	0.527075i
$581$	0.745029	+	17.9021i	0.0309090	+	0.742703i
$582$	−22.1552	−	11.4049i	−0.918362	−	0.472750i
$583$	−1.74288	−	3.01876i	−0.0721828	−	0.125024i
$584$	−5.90403	+	4.54137i	−0.244310	+	0.187923i
$585$	19.2240	+	51.4759i	0.794814	+	2.12827i
$586$	16.5295	−	39.9500i	0.682827	−	1.65032i
$587$	8.23516	+	8.23516i	0.339901	+	0.339901i	0.856330	−	0.516429i	$-0.172739\pi$
$587$	8.23516	+	8.23516i	0.339901	+	0.339901i	−0.516429	+	0.856330i	$0.672739\pi$
$588$	−0.0213308	−	24.2487i	−0.000879669	−	1.00000i
$589$	−6.98455	+	6.98455i	−0.287794	+	0.287794i
$590$	−27.8407	+	11.5448i	−1.14618	+	0.475292i
$591$	−28.3361	−	2.35991i	−1.16559	−	0.0970738i
$592$	32.9152	+	8.76423i	1.35281	+	0.360208i
$593$	3.90936	−	2.25707i	0.160538	−	0.0926869i	−0.417578	−	0.908641i	$-0.637121\pi$
$593$	3.90936	−	2.25707i	0.160538	−	0.0926869i	0.578117	+	0.815954i	$0.303788\pi$
$594$	−6.79794	+	17.0307i	−0.278923	+	0.698777i
$595$	11.5852	−	0.482142i	0.474949	−	0.0197659i
$596$	−21.5455	+	12.4619i	−0.882539	+	0.510458i
$597$	20.0537	−	3.62241i	0.820743	−	0.148255i
$598$	−0.778505	−	5.89545i	−0.0318355	−	0.241083i
$599$	9.47278	+	5.46911i	0.387047	+	0.223462i	0.680880	−	0.732395i	$-0.261597\pi$
$599$	9.47278	+	5.46911i	0.387047	+	0.223462i	−0.293833	+	0.955857i	$0.594931\pi$
$600$	−56.2459	−	12.1539i	−2.29623	−	0.496181i
$601$			34.6372i			1.41288i	0.707773	+	0.706440i	$0.249700\pi$
$601$			34.6372i			1.41288i	−0.707773	+	0.706440i	$0.750300\pi$
$602$	−15.8461	−	34.1288i	−0.645839	−	1.39098i
$603$	1.25851	+	13.1218i	0.0512504	+	0.534362i
$604$	5.26263	+	19.5789i	0.214133	+	0.796655i
$605$	−18.8667	+	5.05531i	−0.767040	+	0.205528i
$606$	−3.92498	+	18.0952i	−0.159442	+	0.735068i
$607$	6.78726	−	3.91863i	0.275486	−	0.159052i	−0.355892	−	0.934527i	$-0.615823\pi$
$607$	6.78726	−	3.91863i	0.275486	−	0.159052i	0.631378	+	0.775475i	$0.282490\pi$
$608$	23.2733	−	3.11046i	0.943856	−	0.126146i
$609$	18.6501	+	20.2659i	0.755739	+	0.821217i
$610$	−16.5269	−	2.16921i	−0.669154	−	0.0878286i
$611$	−6.57840	−	1.76268i	−0.266134	−	0.0713103i
$612$	−0.618500	−	6.39595i	−0.0250014	−	0.258541i
$613$	−37.0742	+	9.93400i	−1.49741	+	0.401231i	−0.912233	−	0.409673i	$-0.865643\pi$
$613$	−37.0742	+	9.93400i	−1.49741	+	0.401231i	−0.585180	+	0.810903i	$0.698976\pi$
$614$	−11.1228	−	4.60209i	−0.448879	−	0.185725i
$615$	2.67784	+	5.68060i	0.107981	+	0.229064i
$616$	11.9909	+	14.3153i	0.483128	+	0.576780i
$617$	6.18956			0.249182			0.124591	−	0.992208i	$-0.460238\pi$
$617$	6.18956			0.249182			0.124591	+	0.992208i	$0.460238\pi$
$618$	−0.668735	−	13.8631i	−0.0269005	−	0.557657i
$619$	−9.67898	−	36.1224i	−0.389031	−	1.45188i	−0.831714	−	0.555205i	$-0.812640\pi$
$619$	−9.67898	−	36.1224i	−0.389031	−	1.45188i	0.442682	−	0.896678i	$-0.354027\pi$
$620$	−19.4766	+	0.0152888i	−0.782200	+	0.000614012i
$621$	2.38765	−	4.25782i	0.0958131	−	0.170860i
$622$	16.1405	+	2.11850i	0.647177	+	0.0849440i
$623$	33.7419	+	7.55267i	1.35184	+	0.302591i
$624$	2.52515	−	30.9067i	0.101087	−	1.23726i
$625$	27.1204	+	46.9740i	1.08482	+	1.87896i
$626$	10.8951	−	14.2103i	0.435457	−	0.567959i
$627$	−13.6947	+	11.5890i	−0.546913	+	0.462820i
$628$	14.6685	+	8.45350i	0.585336	+	0.337332i
$629$	6.44867	−	6.44867i	0.257125	−	0.257125i
$630$	32.6978	+	32.2624i	1.30271	+	1.28537i
$631$	41.1256			1.63718			0.818591	−	0.574376i	$-0.194755\pi$
$631$	41.1256			1.63718			0.818591	+	0.574376i	$0.194755\pi$
$632$	−4.47893	−	33.7141i	−0.178162	−	1.34107i
$633$	2.30175	−	27.6377i	0.0914863	−	1.09850i
$634$	3.00403	+	22.7489i	0.119305	+	0.903474i
$635$	21.2646	−	79.3607i	0.843862	−	3.14934i
$636$	0.863901	+	4.76120i	0.0342559	+	0.188794i
$637$	−23.9186	−	20.2370i	−0.947689	−	0.801818i
$638$	−21.0292	−	2.76014i	−0.832552	−	0.109275i
$639$	−29.8510	−	5.00689i	−1.18089	−	0.198069i
$640$	36.8080	+	28.0834i	1.45496	+	1.11009i
$641$	−37.8170	−	21.8337i	−1.49368	−	0.862378i	−0.493708	−	0.869628i	$-0.664359\pi$
$641$	−37.8170	−	21.8337i	−1.49368	−	0.862378i	−0.999974	+	0.00725000i	$0.997692\pi$
$642$	6.78491	−	7.47267i	0.267779	−	0.294923i
$643$	−5.05839	−	5.05839i	−0.199484	−	0.199484i	0.600295	−	0.799779i	$-0.295050\pi$
$643$	−5.05839	−	5.05839i	−0.199484	−	0.199484i	−0.799779	+	0.600295i	$0.795050\pi$
$644$	−2.66574	−	4.19599i	−0.105045	−	0.165345i
$645$	67.0822	+	24.0992i	2.64136	+	0.948905i
$646$	2.40350	−	5.80902i	0.0945646	−	0.228553i
$647$	−6.84216	−	3.95032i	−0.268993	−	0.155303i	0.359437	−	0.933169i	$-0.382969\pi$
$647$	−6.84216	−	3.95032i	−0.268993	−	0.155303i	−0.628430	+	0.777866i	$0.716302\pi$
$648$	16.8594	−	19.0725i	0.662301	−	0.749238i
$649$	−11.2547	+	6.49788i	−0.441784	+	0.255064i
$650$	−58.9688	+	45.2851i	−2.31295	+	1.77623i
$651$	9.20989	+	5.83974i	0.360964	+	0.228878i
$652$	5.48128	+	9.47667i	0.214664	+	0.371135i
$653$	1.57244	−	5.86843i	0.0615344	−	0.229649i	−0.928309	−	0.371809i	$-0.878738\pi$
$653$	1.57244	−	5.86843i	0.0615344	−	0.229649i	0.989844	+	0.142159i	$0.0454045\pi$
$654$	−3.45111	+	15.9105i	−0.134949	+	0.622150i
$655$	4.03941	+	2.33215i	0.157833	+	0.0911248i
$656$	−0.00556416	−	3.54413i	−0.000217244	−	0.138375i
$657$	−5.02758	+	6.09428i	−0.196145	+	0.237760i
$658$	−5.60842	+	0.979390i	−0.218639	+	0.0381806i
$659$	−26.0441	+	26.0441i	−1.01453	+	1.01453i	−0.0146394	+	0.999893i	$0.504660\pi$
$659$	−26.0441	+	26.0441i	−1.01453	+	1.01453i	−0.999893	+	0.0146394i	$0.995340\pi$
$660$	−35.2544	−	2.90823i	−1.37228	−	0.113203i
$661$	−37.1411	+	9.95194i	−1.44462	+	0.387085i	−0.894150	−	0.447768i	$-0.852219\pi$
$661$	−37.1411	+	9.95194i	−1.44462	+	0.387085i	−0.550473	+	0.834853i	$0.685552\pi$
$662$	−12.1915	+	1.60990i	−0.473835	+	0.0625707i
$663$	−6.82089	−	4.73372i	−0.264901	−	0.183842i
$664$	7.35101	+	17.6880i	0.285274	+	0.686426i
$665$	13.4263	+	42.8876i	0.520648	+	1.66311i
$666$	36.1062	+	1.26026i	1.39909	+	0.0488342i
$667$	5.45382	+	1.46135i	0.211173	+	0.0565836i
$668$	−20.0727	−	20.0412i	−0.776636	−	0.775418i
$669$	2.63938	−	2.23355i	0.102044	−	0.0863539i
$670$	−23.4897	+	9.74057i	−0.907488	+	0.376311i
$671$	−7.18730			−0.277463
$672$	−8.96591	−	24.3231i	−0.345868	−	0.938283i
$673$	8.74065			0.336927			0.168464	−	0.985708i	$-0.446119\pi$
$673$	8.74065			0.336927			0.168464	+	0.985708i	$0.446119\pi$
$674$	−32.5428	+	13.4946i	−1.25350	+	0.519794i
$675$	−61.0299	+	0.764494i	−2.34904	+	0.0294254i
$676$	−9.95446	−	9.93884i	−0.382864	−	0.382263i
$677$	−15.2571	−	4.08813i	−0.586378	−	0.157120i	−0.0465809	−	0.998915i	$-0.514833\pi$
$677$	−15.2571	−	4.08813i	−0.586378	−	0.157120i	−0.539798	+	0.841795i	$0.681499\pi$
$678$	−17.2541	+	33.5176i	−0.662638	+	1.28724i
$679$	−18.2239	+	19.8066i	−0.699369	+	0.760108i
$680$	11.4467	−	4.75718i	0.438961	−	0.182429i
$681$	−8.68676	+	12.5169i	−0.332877	+	0.479648i
$682$	−8.32580	+	1.09944i	−0.318811	+	0.0420996i
$683$	47.1421	−	12.6317i	1.80384	−	0.483338i	0.809275	−	0.587429i	$-0.199860\pi$
$683$	47.1421	−	12.6317i	1.80384	−	0.483338i	0.994568	+	0.104091i	$0.0331933\pi$
$684$	23.3238	−	8.73129i	0.891808	−	0.333849i
$685$	29.8759	−	29.8759i	1.14150	−	1.14150i
$686$	−25.2599	−	6.92370i	−0.964427	−	0.264348i
$687$	6.68668	−	3.15211i	0.255113	−	0.120260i
$688$	−28.4888	−	28.3995i	−1.08612	−	1.08272i
$689$	5.41461	+	3.12613i	0.206280	+	0.119096i
$690$	9.20299	+	1.99619i	0.350352	+	0.0759938i
$691$	−2.00742	+	7.49181i	−0.0763660	+	0.285002i	−0.993540	−	0.113486i	$-0.963798\pi$
$691$	−2.00742	+	7.49181i	−0.0763660	+	0.285002i	0.917174	+	0.398488i	$0.130465\pi$
$692$	15.8412	+	27.3880i	0.602191	+	1.04114i
$693$	15.7894	+	11.9581i	0.599788	+	0.454249i
$694$	−0.338882	+	0.260244i	−0.0128638	+	0.00987874i
$695$	7.09827	−	4.09819i	0.269253	−	0.155453i
$696$	26.1887	+	13.4553i	0.992681	+	0.510022i
$697$	−0.821781	−	0.474455i	−0.0311272	−	0.0179713i
$698$	18.3319	−	44.3062i	0.693871	−	1.67701i
$699$	1.43077	−	3.98268i	0.0541168	−	0.150639i
$700$	−28.7690	+	55.0958i	−1.08737	+	2.08243i
$701$	−12.1511	−	12.1511i	−0.458942	−	0.458942i	0.439366	−	0.898308i	$-0.355203\pi$
$701$	−12.1511	−	12.1511i	−0.458942	−	0.458942i	−0.898308	+	0.439366i	$0.855203\pi$
$702$	−4.71399	−	32.5512i	−0.177918	−	1.22856i
$703$	30.6103	+	17.6729i	1.15449	+	0.666546i
$704$	17.3120	+	9.94081i	0.652471	+	0.374659i
$705$	6.14904	−	8.86025i	0.231586	−	0.333696i
$706$	1.30384	+	0.171133i	0.0490707	+	0.00644069i
$707$	17.7210	+	9.27095i	0.666465	+	0.348670i
$708$	17.7509	−	3.22083i	0.667120	−	0.121046i
$709$	5.61170	−	20.9432i	0.210752	−	0.786537i	−0.776867	−	0.629665i	$-0.783192\pi$
$709$	5.61170	−	20.9432i	0.210752	−	0.786537i	0.987619	−	0.156872i	$-0.0501410\pi$
$710$	−7.64408	−	57.8870i	−0.286877	−	2.17246i
$711$	−12.6204	−	33.7936i	−0.473304	−	1.26736i
$712$	36.6423	−	4.86795i	1.37323	−	0.182434i
$713$	2.23566			0.0837262
$714$	−6.83822	−	1.18795i	−0.255914	−	0.0444579i
$715$	−32.3189	+	32.3189i	−1.20866	+	1.20866i
$716$	24.1819	+	13.9361i	0.903718	+	0.520816i
$717$	19.2456	+	22.7425i	0.718740	+	0.849334i
$718$	1.95871	−	2.55471i	0.0730983	−	0.0953410i
$719$	25.4589	+	44.0962i	0.949459	+	1.64451i	0.746568	+	0.665309i	$0.231700\pi$
$719$	25.4589	+	44.0962i	0.949459	+	1.64451i	0.202891	+	0.979201i	$0.434966\pi$
$720$	44.7092	+	20.3107i	1.66621	+	0.756937i
$721$	−14.6293	−	3.27457i	−0.544824	−	0.121951i
$722$	−2.48359	−	0.325979i	−0.0924295	−	0.0121317i
$723$	−47.6781	+	8.61235i	−1.77317	+	0.320297i
$724$	4.88820	−	0.00383715i	0.181669	−	0.000142606i
$725$	−18.2713	−	68.1893i	−0.678578	−	2.53249i
$726$	11.6779	−	0.563324i	0.433408	−	0.0209069i
$727$	−11.9980			−0.444983			−0.222492	−	0.974935i	$-0.571419\pi$
$727$	−11.9980			−0.444983			−0.222492	+	0.974935i	$0.571419\pi$
$728$	−31.4644	−	11.4829i	−1.16615	−	0.425584i
$729$	12.9100	−	23.7135i	0.478150	−	0.878278i
$730$	−14.0828	−	5.82679i	−0.521226	−	0.215659i
$731$	−10.4032	+	2.78753i	−0.384776	+	0.103100i
$732$	9.39252	+	3.36593i	0.347157	+	0.124408i
$733$	26.8190	+	7.18613i	0.990582	+	0.265426i	0.717495	−	0.696564i	$-0.245289\pi$
$733$	26.8190	+	7.18613i	0.990582	+	0.265426i	0.273087	+	0.961989i	$0.411955\pi$
$734$	−48.1941	−	6.32563i	−1.77888	−	0.233483i
$735$	42.9658	−	24.8117i	1.58482	−	0.915195i
$736$	−4.22254	−	3.22692i	−0.155645	−	0.118946i
$737$	−9.49577	+	5.48238i	−0.349781	+	0.201946i
$738$	−0.845679	−	3.66276i	−0.0311299	−	0.134828i
$739$	42.9728	−	11.5145i	1.58078	−	0.423569i	0.641613	−	0.767029i	$-0.278266\pi$
$739$	42.9728	−	11.5145i	1.58078	−	0.423569i	0.939167	+	0.343460i	$0.111599\pi$
$740$	18.0911	+	67.3054i	0.665041	+	2.47420i
$741$	10.8793	−	30.2835i	0.399662	−	1.11249i
$742$	5.20601	+	0.464112i	0.191119	+	0.0170381i
$743$		−	33.1765i		−	1.21713i	−0.793505	−	0.608564i	$-0.791746\pi$
$743$		−	33.1765i		−	1.21713i	0.793505	−	0.608564i	$-0.208254\pi$
$744$	11.3952	+	2.46234i	0.417769	+	0.0902737i
$745$	−44.1043	−	25.4637i	−1.61586	−	0.932916i
$746$	−3.99681	−	30.2670i	−0.146334	−	1.10815i
$747$	11.7917	+	16.5445i	0.431435	+	0.605331i
$748$	4.62676	−	2.67610i	0.169171	−	0.0978481i
$749$	−5.83890	−	9.20664i	−0.213349	−	0.336403i
$750$	−20.6287	−	64.3986i	−0.753253	−	2.35150i
$751$	−7.07752	+	4.08621i	−0.258262	+	0.149108i	−0.623542	−	0.781790i	$-0.714307\pi$
$751$	−7.07752	+	4.08621i	−0.258262	+	0.149108i	0.365279	+	0.930898i	$0.380973\pi$
$752$	−5.26618	+	3.05147i	−0.192038	+	0.111276i
$753$	1.58590	−	19.0423i	0.0577934	−	0.693940i
$754$	35.1410	−	14.5720i	1.27976	−	0.530682i
$755$	−29.3325	+	29.3325i	−1.06752	+	1.06752i
$756$	−15.0337	−	23.0215i	−0.546771	−	0.837282i
$757$	32.7389	+	32.7389i	1.18992	+	1.18992i	0.977090	+	0.212826i	$0.0682666\pi$
$757$	32.7389	+	32.7389i	1.18992	+	1.18992i	0.212826	+	0.977090i	$0.431733\pi$
$758$	17.0841	−	41.2905i	0.620523	−	1.49974i
$759$	4.04648	+	0.337003i	0.146878	+	0.0122324i
$760$	29.2915	+	38.0805i	1.06252	+	1.38133i
$761$	−16.5630	−	28.6880i	−0.600410	−	1.03994i	−0.992759	−	0.120124i	$-0.961671\pi$
$761$	−16.5630	−	28.6880i	−0.600410	−	1.03994i	0.392349	−	0.919816i	$-0.371662\pi$
$762$	−22.5089	+	43.7256i	−0.815411	+	1.58401i
$763$	15.5814	+	8.15163i	0.564086	+	0.295109i
$764$	−2.74849	−	0.734144i	−0.0994369	−	0.0265604i
$765$	10.7067	−	7.63094i	0.387102	−	0.275897i
$766$	−23.9876	−	18.3914i	−0.866709	−	0.664509i
$767$	11.6549	−	20.1870i	0.420836	−	0.728909i
$768$	−17.9683	−	21.0984i	−0.648374	−	0.761322i
$769$	9.86581			0.355770			0.177885	−	0.984051i	$-0.443074\pi$
$769$	9.86581			0.355770			0.177885	+	0.984051i	$0.443074\pi$
$770$	−13.1272	+	35.8826i	−0.473072	+	1.29312i
$771$	−35.5138	−	12.7583i	−1.27900	−	0.459479i
$772$	−1.49906	−	5.57704i	−0.0539523	−	0.200722i
$773$	8.09815	+	30.2227i	0.291270	+	1.08704i	0.944135	+	0.329560i	$0.106900\pi$
$773$	8.09815	+	30.2227i	0.291270	+	1.08704i	−0.652864	+	0.757475i	$0.726433\pi$
$774$	−36.1834	−	22.6091i	−1.30058	−	0.812666i
$775$	−13.9763	−	24.2076i	−0.502042	−	0.869563i
$776$	−10.9797	+	26.5960i	−0.394150	+	0.954740i
$777$	11.6549	−	37.2418i	0.418119	−	1.33604i
$778$	−16.6552	−	21.6879i	−0.597119	−	0.777549i
$779$	0.951862	−	3.55240i	0.0341040	−	0.127278i
$780$	57.3706	−	27.0996i	2.05420	−	0.970321i
$781$	−6.51624	−	24.3189i	−0.233169	−	0.870200i
$782$	−1.31436	+	0.545030i	−0.0470014	+	0.0194902i
$783$	30.2639	+	7.70422i	1.08154	+	0.275326i
$784$	−27.8995	+	2.37032i	−0.996410	+	0.0846544i
$785$			34.6406i			1.23637i
$786$	−2.06703	−	1.87678i	−0.0737284	−	0.0669427i
$787$	−25.9192	+	6.94504i	−0.923921	+	0.247564i	−0.689261	−	0.724514i	$-0.742064\pi$
$787$	−25.9192	+	6.94504i	−0.923921	+	0.247564i	−0.234660	+	0.972077i	$0.575398\pi$
$788$	0.0257733	+	32.8330i	0.000918135	+	1.16963i
$789$	−7.28924	−	40.3533i	−0.259504	−	1.43662i
$790$	55.1916	−	42.3844i	1.96363	−	1.50797i
$791$	29.9646	+	27.5702i	1.06542	+	0.980282i
$792$	20.2538	+	6.17447i	0.719688	+	0.219400i
$793$	11.1644	−	6.44576i	0.396459	−	0.228896i
$794$	−11.4154	+	1.50742i	−0.405117	+	0.0534964i
$795$	−7.55794	+	6.39583i	−0.268053	+	0.226837i
$796$	−6.10805	−	22.7242i	−0.216494	−	0.805437i
$797$	−23.2739	−	23.2739i	−0.824405	−	0.824405i	0.162331	−	0.986736i	$-0.448099\pi$
$797$	−23.2739	−	23.2739i	−0.824405	−	0.824405i	−0.986736	+	0.162331i	$0.948099\pi$
$798$	−2.41221	−	26.7916i	−0.0853913	−	0.948412i
$799$			1.62958i			0.0576502i
$800$	−8.54366	+	65.8946i	−0.302064	+	2.32972i
$801$	36.7288	−	13.7166i	1.29775	−	0.484652i
$802$	−14.3295	+	18.6898i	−0.505994	+	0.659960i
$803$	−6.34763	−	1.70084i	−0.224003	−	0.0600214i
$804$	14.9768	−	2.71747i	0.528190	−	0.0958379i
$805$	4.71508	−	9.01264i	0.166185	−	0.317654i
$806$	11.9469	−	9.17461i	0.420810	−	0.323162i
$807$	−9.97104	−	6.91993i	−0.350997	−	0.243593i
$808$	21.2008	+	2.76575i	0.745842	+	0.0972987i
$809$	−1.97741	+	3.42497i	−0.0695220	+	0.120416i	−0.898691	−	0.438582i	$-0.855481\pi$
$809$	−1.97741	+	3.42497i	−0.0695220	+	0.120416i	0.829169	+	0.558998i	$0.188814\pi$
$810$	51.0359	+	10.4025i	1.79322	+	0.365506i
$811$	−38.4451	+	38.4451i	−1.34999	+	1.34999i	−0.464328	+	0.885663i	$0.653704\pi$
$811$	−38.4451	+	38.4451i	−1.34999	+	1.34999i	−0.885663	+	0.464328i	$0.846296\pi$
$812$	21.5146	−	23.4200i	0.755016	−	0.821882i
$813$	−5.35311	−	1.92310i	−0.187742	−	0.0674461i
$814$	11.5110	+	27.7593i	0.403462	+	0.972963i
$815$	−11.2000	+	19.3990i	−0.392320	+	0.679519i
$816$	−7.29961	+	1.33040i	−0.255537	+	0.0465735i
$817$	−20.8711	−	36.1498i	−0.730187	−	1.26472i
$818$	−1.94581	−	0.255394i	−0.0680336	−	0.00892963i
$819$	−35.2507	−	4.41473i	−1.23176	−	0.154263i
$820$	6.27728	−	3.63076i	0.219212	−	0.126792i
$821$	4.92527	+	1.31972i	0.171893	+	0.0460586i	0.343739	−	0.939065i	$-0.388306\pi$
$821$	4.92527	+	1.31972i	0.171893	+	0.0460586i	−0.171846	+	0.985124i	$0.554973\pi$
$822$	−21.2673	+	13.6858i	−0.741784	+	0.477346i
$823$	−10.2554	+	17.7629i	−0.357481	+	0.619176i	−0.987539	−	0.157372i	$-0.949698\pi$
$823$	−10.2554	+	17.7629i	−0.357481	+	0.619176i	0.630058	+	0.776548i	$0.283031\pi$
$824$	−15.8868	+	2.11057i	−0.553443	+	0.0735252i
$825$	−21.6476	−	45.9218i	−0.753672	−	1.59879i
$826$	1.73032	−	19.4092i	0.0602056	−	0.675334i
$827$	8.00259	+	8.00259i	0.278277	+	0.278277i	0.832421	−	0.554144i	$-0.186954\pi$
$827$	8.00259	+	8.00259i	0.278277	+	0.278277i	−0.554144	+	0.832421i	$0.686954\pi$
$828$	−5.13020	−	2.33543i	−0.178287	−	0.0811620i
$829$	−8.67368	−	32.3706i	−0.301249	−	1.12428i	−0.936126	−	0.351664i	$-0.885616\pi$
$829$	−8.67368	−	32.3706i	−0.301249	−	1.12428i	0.634877	−	0.772613i	$-0.281051\pi$
$830$	−23.8466	+	31.1028i	−0.827728	+	1.07959i
$831$	0.600263	+	0.416585i	0.0208229	+	0.0144512i
$832$	−35.8068	+	0.0843232i	−1.24138	+	0.00292338i
$833$	−3.19596	+	6.78138i	−0.110733	+	0.234961i
$834$	−4.67229	+	1.49666i	−0.161788	+	0.0518253i
$835$	15.0212	−	56.0598i	0.519829	−	1.94003i
$836$	14.6596	+	14.6366i	0.507012	+	0.506216i
$837$	12.3644	−	0.154884i	0.427377	−	0.00535357i
$838$	−6.63098	+	16.0264i	−0.229064	+	0.553623i
$839$		−	46.3601i		−	1.60053i	−0.599648	−	0.800264i	$-0.704693\pi$
$839$		−	46.3601i		−	1.60053i	0.599648	−	0.800264i	$-0.295307\pi$
$840$	33.9593	−	40.7445i	1.17171	−	1.40582i
$841$			7.12062i			0.245539i
$842$	48.6422	+	20.1259i	1.67632	+	0.693584i
$843$	20.5636	+	24.2999i	0.708247	+	0.836934i
$844$	−32.0238	+	0.0251381i	−1.10230	+	0.000865288i
$845$	7.44930	−	27.8012i	0.256264	−	0.956389i
$846$	−4.72125	+	4.40278i	−0.162320	+	0.151371i
$847$	2.75841	−	12.3233i	0.0947799	−	0.423434i
$848$	5.39486	−	1.45463i	0.185260	−	0.0499522i
$849$	−12.4065	+	17.8768i	−0.425791	+	0.613529i
$850$	14.1183	+	10.8245i	0.484253	+	0.371279i
$851$	−2.07055	−	7.72740i	−0.0709776	−	0.264892i
$852$	−2.87339	+	34.8322i	−0.0984408	+	1.19333i
$853$	17.2619	+	17.2619i	0.591038	+	0.591038i	0.937912	−	0.346874i	$-0.112757\pi$
$853$	17.2619	+	17.2619i	0.591038	+	0.591038i	−0.346874	+	0.937912i	$0.612757\pi$
$854$	6.19588	−	8.81768i	0.212019	−	0.301735i
$855$	39.3076	+	32.4276i	1.34429	+	1.10900i
$856$	−9.25472	−	7.08410i	−0.316320	−	0.242130i
$857$	−3.32524	+	5.75949i	−0.113588	+	0.196740i	−0.917214	−	0.398394i	$-0.869568\pi$
$857$	−3.32524	+	5.75949i	−0.113588	+	0.196740i	0.803626	+	0.595134i	$0.202901\pi$
$858$	23.0064	−	14.8049i	0.785427	−	0.505431i
$859$	40.0289	+	10.7257i	1.36577	+	0.365957i	0.865932	−	0.500162i	$-0.166726\pi$
$859$	40.0289	+	10.7257i	1.36577	+	0.365957i	0.499838	+	0.866119i	$0.333393\pi$
$860$	21.2401	−	79.5189i	0.724282	−	2.71157i
$861$	−4.05682	−	0.168448i	−0.138256	−	0.00574068i
$862$	5.67061	−	43.2036i	0.193142	−	1.47152i
$863$	−23.7223	−	41.0882i	−0.807516	−	1.39866i	−0.914579	−	0.404406i	$-0.867478\pi$
$863$	−23.7223	−	41.0882i	−0.807516	−	1.39866i	0.107063	−	0.994252i	$-0.465855\pi$
$864$	−23.5765	−	17.5541i	−0.802090	−	0.597204i
$865$	−32.3686	+	56.0641i	−1.10057	+	1.90624i
$866$	25.6610	−	10.6410i	0.871998	−	0.361594i
$867$	9.28347	−	25.8413i	0.315283	−	0.877617i
$868$	5.82850	−	11.1622i	0.197832	−	0.378870i
$869$	21.2172	−	21.2172i	0.719745	−	0.719745i
$870$	2.90268	+	60.1736i	0.0984099	+	2.04007i
$871$	9.83350	−	17.0321i	0.333195	−	0.577111i
$872$	18.6411	+	2.43183i	0.631269	+	0.0823521i
$873$	−5.04835	+	30.0982i	−0.170861	+	1.01867i
$874$	−3.35885	−	4.37378i	−0.113615	−	0.147945i
$875$	−72.9768	+	3.03707i	−2.46707	+	0.102672i
$876$	7.49868	+	5.19539i	0.253357	+	0.175536i
$877$	25.9843	+	6.96247i	0.877427	+	0.235106i	0.669297	−	0.742995i	$-0.266595\pi$
$877$	25.9843	+	6.96247i	0.877427	+	0.235106i	0.208130	+	0.978101i	$0.433262\pi$
$878$	22.3193	+	17.1123i	0.753241	+	0.577513i
$879$	−52.7687	−	4.39473i	−1.77984	−	0.148230i
$880$	0.0641275	+	40.8465i	0.00216174	+	1.37694i
$881$			27.2089i			0.916693i	0.888774	+	0.458346i	$0.151558\pi$
$881$			27.2089i			0.916693i	−0.888774	+	0.458346i	$0.848442\pi$
$882$	−28.2820	+	9.06247i	−0.952305	+	0.305149i
$883$	15.8993	+	15.8993i	0.535053	+	0.535053i	0.922072	−	0.387019i	$-0.126495\pi$
$883$	15.8993	+	15.8993i	0.535053	+	0.535053i	−0.387019	+	0.922072i	$0.626495\pi$
$884$	−4.78697	+	8.30632i	−0.161003	+	0.279372i
$885$	23.8452	+	28.1778i	0.801547	+	0.947187i
$886$	0.217015	+	1.64341i	0.00729077	+	0.0552115i
$887$	−43.4659	+	25.0950i	−1.45944	+	0.842609i	−0.998984	−	0.0450724i	$-0.985648\pi$
$887$	−43.4659	+	25.0950i	−1.45944	+	0.842609i	−0.460458	+	0.887682i	$0.652315\pi$
$888$	−2.04275	−	41.6672i	−0.0685501	−	1.39826i
$889$	39.0905	+	35.9668i	1.31105	+	1.20629i
$890$	46.0658	+	59.9853i	1.54413	+	2.01071i
$891$	22.4026	+	1.58347i	0.750516	+	0.0530484i
$892$	−2.82534	−	2.82091i	−0.0945993	−	0.0944509i
$893$	−6.10057	+	1.63464i	−0.204148	+	0.0547013i
$894$	22.5689	+	20.4917i	0.754815	+	0.685344i
$895$			57.1070i			1.90888i
$896$	−27.1198	+	12.6695i	−0.906009	+	0.423259i
$897$	−6.58783	+	3.10551i	−0.219961	+	0.103690i
$898$	5.24670	+	12.6526i	0.175084	+	0.422223i
$899$	3.70169	+	13.8149i	0.123458	+	0.460753i
$900$	6.78359	+	70.1495i	0.226120	+	2.33832i
$901$	0.387196	−	1.44504i	0.0128994	−	0.0481411i
$902$	2.47993	−	1.90446i	0.0825727	−	0.0634117i
$903$	−33.9107	+	31.2069i	−1.12848	+	1.03850i
$904$	40.2359	+	16.6108i	1.33823	+	0.552466i
$905$	5.00088	+	8.66178i	0.166235	+	0.287927i
$906$	20.8805	−	13.4368i	0.693708	−	0.446409i
$907$	−1.42642	−	5.32349i	−0.0473636	−	0.176764i	0.938192	−	0.346115i	$-0.112499\pi$
$907$	−1.42642	−	5.32349i	−0.0473636	−	0.176764i	−0.985556	+	0.169352i	$0.945833\pi$
$908$	15.2428	+	8.78448i	0.505849	+	0.291523i
$909$	22.5738	−	2.16504i	0.748726	−	0.0718099i
$910$	−11.7894	−	67.5111i	−0.390813	−	2.23797i
$911$	−38.2681			−1.26788			−0.633939	−	0.773383i	$-0.718563\pi$
$911$	−38.2681			−1.26788			−0.633939	+	0.773383i	$0.718563\pi$
$912$	−12.3029	−	25.9927i	−0.407389	−	0.860704i
$913$	−8.44964	+	14.6352i	−0.279642	+	0.484354i
$914$	7.85778	−	10.2488i	0.259912	−	0.339000i
$915$	3.62891	+	20.0897i	0.119968	+	0.664145i
$916$	−4.27380	−	7.38904i	−0.141210	−	0.244141i
$917$	−2.54666	+	1.61511i	−0.0840983	+	0.0533356i
$918$	−7.23137	+	3.10537i	−0.238671	+	0.102493i
$919$	−7.43247	−	12.8734i	−0.245175	−	0.424655i	0.717006	−	0.697067i	$-0.245512\pi$
$919$	−7.43247	−	12.8734i	−0.245175	−	0.424655i	−0.962181	+	0.272412i	$0.912179\pi$
$920$	1.40662	−	10.7824i	0.0463749	−	0.355487i
$921$	−1.22357	+	14.6917i	−0.0403179	+	0.484108i
$922$	−49.2648	−	20.3835i	−1.62245	−	0.671294i
$923$	31.9319	+	31.9319i	1.05105	+	1.05105i
$924$	12.2320	−	19.3247i	0.402403	−	0.635735i
$925$	−70.7278	+	70.7278i	−2.32552	+	2.32552i
$926$	−0.970263	−	2.33982i	−0.0318848	−	0.0768914i
$927$	−15.9243	+	5.94703i	−0.523023	+	0.195326i
$928$	12.9488	−	31.4355i	0.425065	−	1.03192i
$929$	23.6063	−	13.6291i	0.774497	−	0.447156i	−0.0599795	−	0.998200i	$-0.519104\pi$
$929$	23.6063	−	13.6291i	0.774497	−	0.447156i	0.834476	+	0.551044i	$0.185770\pi$
$930$	7.27685	+	22.7169i	0.238617	+	0.744915i
$931$	−28.5931	−	5.16212i	−0.937099	−	0.169182i
$932$	−4.72105	−	1.26103i	−0.154643	−	0.0413064i
$933$	−3.54408	−	19.6201i	−0.116028	−	0.642332i
$934$	20.9868	−	2.77135i	0.686710	−	0.0906813i
$935$	9.47111	+	5.46815i	0.309738	+	0.178828i
$936$	−36.9987	+	8.57306i	−1.20934	+	0.280219i
$937$			14.5436i			0.475118i	0.971373	+	0.237559i	$0.0763473\pi$
$937$			14.5436i			0.475118i	−0.971373	+	0.237559i	$0.923653\pi$
$938$	1.45990	−	16.3759i	0.0476676	−	0.534693i
$939$	−20.6393	−	7.41464i	−0.673537	−	0.241967i
$940$	−10.7898	−	6.21822i	−0.351925	−	0.202816i
$941$	12.3520	−	3.30972i	0.402665	−	0.107894i	−0.0518018	−	0.998657i	$-0.516496\pi$
$941$	12.3520	−	3.30972i	0.402665	−	0.107894i	0.454467	+	0.890764i	$0.349830\pi$
$942$	4.39535	−	20.2638i	0.143208	−	0.660229i
$943$	−0.720876	+	0.416198i	−0.0234749	+	0.0135533i
$944$	−5.42321	−	20.1133i	−0.176510	−	0.654633i
$945$	25.4526	−	50.1715i	0.827974	−	1.63208i
$946$	4.61851	−	35.1878i	0.150161	−	1.14405i
$947$	5.21684	+	1.39785i	0.169524	+	0.0454240i	0.342583	−	0.939488i	$-0.388698\pi$
$947$	5.21684	+	1.39785i	0.169524	+	0.0454240i	−0.173058	+	0.984912i	$0.555365\pi$
$948$	−37.6635	+	17.7907i	−1.22325	+	0.577816i
$949$	11.3854	−	3.05072i	0.369587	−	0.0990306i
$950$	−26.3612	+	63.7122i	−0.855270	+	2.06710i
$951$	25.4206	−	11.9833i	0.824318	−	0.388584i
$952$	−0.705386	+	7.98326i	−0.0228617	+	0.258739i
$953$	−53.2775			−1.72583			−0.862914	−	0.505351i	$-0.831363\pi$
$953$	−53.2775			−1.72583			−0.862914	+	0.505351i	$0.831363\pi$
$954$	5.23272	−	2.78240i	0.169415	−	0.0900834i
$955$	−1.50655	−	5.62251i	−0.0487507	−	0.181940i
$956$	24.3067	−	24.3449i	0.786134	−	0.787369i
$957$	4.61750	+	25.5626i	0.149263	+	0.826320i
$958$	−4.65644	+	35.4768i	−0.150443	+	1.14620i
$959$	8.16111	+	26.0691i	0.263536	+	0.841814i
$960$	19.0453	−	53.4091i	0.614684	−	1.72377i
$961$	−12.6685	−	21.9424i	−0.408660	−	0.707820i
$962$	−42.7759	−	32.7965i	−1.37915	−	1.05740i
$963$	−11.2468	−	5.13058i	−0.362423	−	0.165331i
$964$	14.5220	+	54.0272i	0.467723	+	1.74010i
$965$	8.35534	−	8.35534i	0.268968	−	0.268968i
$966$	−3.90176	+	4.67387i	−0.125537	+	0.150379i
$967$	−4.03609			−0.129792			−0.0648959	−	0.997892i	$-0.520672\pi$
$967$	−4.03609			−0.129792			−0.0648959	+	0.997892i	$0.520672\pi$
$968$	−1.77789	−	13.3826i	−0.0571434	−	0.430133i
$969$	−7.67294	−	0.639025i	−0.246490	−	0.0205284i
$970$	−58.3663	+	7.70738i	−1.87403	+	0.247469i
$971$	−8.82414	+	32.9321i	−0.283180	+	1.05684i	0.666979	+	0.745077i	$0.267587\pi$
$971$	−8.82414	+	32.9321i	−0.283180	+	1.05684i	−0.950159	+	0.311766i	$0.899080\pi$
$972$	−28.5346	−	12.5608i	−0.915249	−	0.402889i
$973$	0.220348	+	5.29466i	0.00706402	+	0.169739i
$974$	2.62017	−	19.9627i	0.0839557	−	0.639647i
$975$	74.8102	+	51.9185i	2.39584	+	1.66272i
$976$	2.96436	−	11.1330i	0.0948869	−	0.356360i
$977$	8.83010	+	5.09806i	0.282500	+	0.163101i	0.634555	−	0.772878i	$-0.281184\pi$
$977$	8.83010	+	5.09806i	0.282500	+	0.163101i	−0.352055	+	0.935979i	$0.614517\pi$
$978$	9.01315	−	9.92678i	0.288209	−	0.317423i
$979$	23.0600	+	23.0600i	0.737002	+	0.737002i
$980$	−32.7058	−	47.0380i	−1.04475	−	1.50257i
$981$	19.8484	−	1.90365i	0.633710	−	0.0607788i
$982$	−11.4158	−	4.72335i	−0.364294	−	0.150728i
$983$	41.0818	+	23.7186i	1.31031	+	0.756505i	0.982147	−	0.188117i	$-0.0602385\pi$
$983$	41.0818	+	23.7186i	1.31031	+	0.756505i	0.328159	+	0.944623i	$0.393572\pi$
$984$	−4.13272	+	1.32740i	−0.131746	+	0.0423161i
$985$	−58.1793	+	33.5898i	−1.85375	+	1.07026i
$986$	−5.54417	−	7.21944i	−0.176562	−	0.229914i
$987$	3.23289	+	6.17809i	0.102904	+	0.196651i
$988$	−35.8979	−	9.58862i	−1.14206	−	0.305054i
$989$	−2.44525	+	9.12580i	−0.0777545	+	0.290184i
$990$	9.74654	+	42.2138i	0.309766	+	1.34164i
$991$	−21.6866	−	12.5208i	−0.688897	−	0.397735i	0.114302	−	0.993446i	$-0.463537\pi$
$991$	−21.6866	−	12.5208i	−0.688897	−	0.397735i	−0.803199	+	0.595711i	$0.796870\pi$
$992$	1.73092	−	13.3500i	0.0549566	−	0.423863i
$993$	6.42201	+	13.6233i	0.203796	+	0.432321i
$994$	35.4528	+	12.9700i	1.12450	+	0.411383i
$995$	34.0446	−	34.0446i	1.07929	−	1.07929i
$996$	17.8961	−	15.1685i	0.567059	−	0.480632i
$997$	−35.2604	+	9.44801i	−1.11671	+	0.299221i	−0.769551	−	0.638585i	$-0.779520\pi$
$997$	−35.2604	+	9.44801i	−1.11671	+	0.299221i	−0.347158	+	0.937807i	$0.612853\pi$
$998$	2.40060	+	18.1792i	0.0759898	+	0.575454i
$999$	−11.9866	−	42.5934i	−0.379240	−	1.34759i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	336.2.bu.a.11.9	✓	240
3.2	odd	2	inner	336.2.bu.a.11.52	yes	240
7.2	even	3	inner	336.2.bu.a.107.49	yes	240
16.3	odd	4	inner	336.2.bu.a.179.12	yes	240
21.2	odd	6	inner	336.2.bu.a.107.12	yes	240
48.35	even	4	inner	336.2.bu.a.179.49	yes	240
112.51	odd	12	inner	336.2.bu.a.275.52	yes	240
336.275	even	12	inner	336.2.bu.a.275.9	yes	240

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
336.2.bu.a.11.9	✓	240	1.1	even	1	trivial
336.2.bu.a.11.52	yes	240	3.2	odd	2	inner
336.2.bu.a.107.12	yes	240	21.2	odd	6	inner
336.2.bu.a.107.49	yes	240	7.2	even	3	inner
336.2.bu.a.179.12	yes	240	16.3	odd	4	inner
336.2.bu.a.179.49	yes	240	48.35	even	4	inner
336.2.bu.a.275.9	yes	240	336.275	even	12	inner
336.2.bu.a.275.52	yes	240	112.51	odd	12	inner

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:	\( N \)	\(=\)	\( 336 = 2^{4} \cdot 3 \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	336.bu (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.30635 + 0.541709i) q^{2} +(1.11887 + 1.32217i) q^{3} +(1.41310 - 1.41532i) q^{4} +(3.95276 + 1.05914i) q^{5} +(-2.17787 - 1.12111i) q^{6} +(-1.79142 + 1.94700i) q^{7} +(-1.07931 + 2.61440i) q^{8} +(-0.496255 + 2.95867i) q^{9} +O(q^{10})\)	\(q+(-1.30635 + 0.541709i) q^{2} +(1.11887 + 1.32217i) q^{3} +(1.41310 - 1.41532i) q^{4} +(3.95276 + 1.05914i) q^{5} +(-2.17787 - 1.12111i) q^{6} +(-1.79142 + 1.94700i) q^{7} +(-1.07931 + 2.61440i) q^{8} +(-0.496255 + 2.95867i) q^{9} +(-5.73744 + 0.757640i) q^{10} +(-2.41036 + 0.645854i) q^{11} +(3.45237 + 0.284795i) q^{12} +(3.16491 - 3.16491i) q^{13} +(1.28551 - 3.51389i) q^{14} +(3.02227 + 6.41126i) q^{15} +(-0.00627985 - 4.00000i) q^{16} +(-0.927482 - 0.535482i) q^{17} +(-0.954454 - 4.13389i) q^{18} +(1.07429 - 4.00932i) q^{19} +(7.08469 - 4.09777i) q^{20} +(-4.57863 - 0.190114i) q^{21} +(2.79891 - 2.14943i) q^{22} +(-0.813598 + 0.469731i) q^{23} +(-4.66429 + 1.49814i) q^{24} +(10.1724 + 5.87306i) q^{25} +(-2.42002 + 5.84895i) q^{26} +(-4.46710 + 2.65424i) q^{27} +(0.224176 + 5.28675i) q^{28} +(-4.24974 - 4.24974i) q^{29} +(-7.42118 - 6.73816i) q^{30} +(-2.06090 - 1.18986i) q^{31} +(2.17504 + 5.22199i) q^{32} +(-3.55081 - 2.46427i) q^{33} +(1.50169 + 0.197102i) q^{34} +(-9.14321 + 5.79867i) q^{35} +(3.48621 + 4.88327i) q^{36} +(-2.20397 + 8.22535i) q^{37} +(0.768480 + 5.81954i) q^{38} +(7.72567 + 0.643417i) q^{39} +(-7.03529 + 9.19096i) q^{40} +0.886034 q^{41} +(6.08428 - 2.23193i) q^{42} +(7.11104 - 7.11104i) q^{43} +(-2.49200 + 4.32410i) q^{44} +(-5.09523 + 11.1693i) q^{45} +(0.808387 - 1.05437i) q^{46} +(-0.760799 - 1.31774i) q^{47} +(5.28164 - 4.48378i) q^{48} +(-0.581630 - 6.97579i) q^{49} +(-16.4703 - 2.16178i) q^{50} +(-0.329736 - 1.82542i) q^{51} +(-0.00702694 - 8.95172i) q^{52} +(0.361540 + 1.34928i) q^{53} +(4.39778 - 5.88723i) q^{54} -10.2116 q^{55} +(-3.15673 - 6.78491i) q^{56} +(6.50299 - 3.06552i) q^{57} +(7.85378 + 3.24953i) q^{58} +(5.03046 - 1.34791i) q^{59} +(13.3448 + 4.78228i) q^{60} +(2.78209 + 0.745459i) q^{61} +(3.33682 + 0.437968i) q^{62} +(-4.87153 - 6.26643i) q^{63} +(-5.67016 - 5.64352i) q^{64} +(15.8622 - 9.15807i) q^{65} +(5.97352 + 1.29570i) q^{66} +(4.24429 - 1.13725i) q^{67} +(-2.06851 + 0.555996i) q^{68} +(-1.53137 - 0.550145i) q^{69} +(8.80304 - 12.5281i) q^{70} +10.0893i q^{71} +(-7.19953 - 4.49075i) q^{72} +(2.28066 + 1.31674i) q^{73} +(-1.57658 - 11.9391i) q^{74} +(3.61648 + 20.0209i) q^{75} +(-4.15640 - 7.18606i) q^{76} +(3.06049 - 5.84997i) q^{77} +(-10.4410 + 3.34454i) q^{78} +(-10.4135 + 6.01222i) q^{79} +(4.21173 - 15.8177i) q^{80} +(-8.50746 - 2.93651i) q^{81} +(-1.15747 + 0.479973i) q^{82} +(4.78867 - 4.78867i) q^{83} +(-6.73915 + 6.21159i) q^{84} +(-3.09897 - 3.09897i) q^{85} +(-5.43739 + 13.1416i) q^{86} +(0.863959 - 10.3738i) q^{87} +(0.913017 - 6.99872i) q^{88} +(-6.53442 - 11.3179i) q^{89} +(0.605631 - 17.3512i) q^{90} +(0.492402 + 11.8318i) q^{91} +(-0.484877 + 1.81528i) q^{92} +(-0.732685 - 4.05616i) q^{93} +(1.70770 + 1.30930i) q^{94} +(8.49287 - 14.7101i) q^{95} +(-4.47077 + 8.71850i) q^{96} +10.1729 q^{97} +(4.53866 + 8.79776i) q^{98} +(-0.714715 - 7.45197i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 240 q - 2 q^{3} - 4 q^{4} - 8 q^{6} - 16 q^{7}+O(q^{10}) \) 240 * q - 2 * q^3 - 4 * q^4 - 8 * q^6 - 16 * q^7	\( 240 q - 2 q^{3} - 4 q^{4} - 8 q^{6} - 16 q^{7} - 4 q^{10} - 2 q^{12} - 16 q^{13} - 20 q^{16} + 16 q^{18} - 4 q^{19} + 2 q^{21} - 40 q^{22} - 22 q^{24} - 8 q^{27} - 4 q^{28} - 26 q^{30} - 4 q^{33} + 16 q^{36} - 4 q^{37} - 4 q^{39} + 8 q^{40} - 18 q^{42} - 16 q^{43} + 18 q^{45} - 20 q^{46} - 88 q^{48} - 16 q^{49} + 6 q^{51} + 8 q^{52} + 14 q^{54} - 32 q^{55} - 36 q^{58} - 42 q^{60} - 4 q^{61} - 64 q^{64} - 30 q^{66} - 36 q^{67} - 20 q^{69} + 116 q^{70} - 46 q^{72} - 24 q^{75} - 112 q^{76} - 92 q^{78} - 4 q^{81} - 32 q^{82} + 44 q^{84} - 56 q^{85} - 4 q^{87} - 20 q^{88} + 28 q^{90} - 40 q^{91} - 14 q^{93} + 72 q^{94} + 36 q^{96} - 32 q^{97} + 28 q^{99}+O(q^{100}) \) 240 * q - 2 * q^3 - 4 * q^4 - 8 * q^6 - 16 * q^7 - 4 * q^10 - 2 * q^12 - 16 * q^13 - 20 * q^16 + 16 * q^18 - 4 * q^19 + 2 * q^21 - 40 * q^22 - 22 * q^24 - 8 * q^27 - 4 * q^28 - 26 * q^30 - 4 * q^33 + 16 * q^36 - 4 * q^37 - 4 * q^39 + 8 * q^40 - 18 * q^42 - 16 * q^43 + 18 * q^45 - 20 * q^46 - 88 * q^48 - 16 * q^49 + 6 * q^51 + 8 * q^52 + 14 * q^54 - 32 * q^55 - 36 * q^58 - 42 * q^60 - 4 * q^61 - 64 * q^64 - 30 * q^66 - 36 * q^67 - 20 * q^69 + 116 * q^70 - 46 * q^72 - 24 * q^75 - 112 * q^76 - 92 * q^78 - 4 * q^81 - 32 * q^82 + 44 * q^84 - 56 * q^85 - 4 * q^87 - 20 * q^88 + 28 * q^90 - 40 * q^91 - 14 * q^93 + 72 * q^94 + 36 * q^96 - 32 * q^97 + 28 * q^99

Introduction

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