LMFDB - Embedded newform 260.2.bj.c.3.18

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [260,2,Mod(3,260)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(260, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([6, 9, 4]))

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

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

chi := DirichletCharacter("260.3");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 260 = 2^{2} \cdot 5 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	260.bj (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:	$2.07611045255$
Analytic rank:	$0$
Dimension:	$144$
Relative dimension:	$36$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			3.18
Character	$\chi$	$=$	260.3
Dual form			260.2.bj.c.87.18

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.265092 - 1.38915i) q^{2} +(-1.38963 - 0.372351i) q^{3} +(-1.85945 + 0.736503i) q^{4} +(-0.609763 - 2.15132i) q^{5} +(-0.148869 + 2.02911i) q^{6} +(-0.0945931 + 0.0253462i) q^{7} +(1.51604 + 2.38781i) q^{8} +(-0.805646 - 0.465140i) q^{9} +O(q^{10})$	\(q+(-0.265092 - 1.38915i) q^{2} +(-1.38963 - 0.372351i) q^{3} +(-1.85945 + 0.736503i) q^{4} +(-0.609763 - 2.15132i) q^{5} +(-0.148869 + 2.02911i) q^{6} +(-0.0945931 + 0.0253462i) q^{7} +(1.51604 + 2.38781i) q^{8} +(-0.805646 - 0.465140i) q^{9} +(-2.82686 + 1.41735i) q^{10} +(-4.47905 + 2.58598i) q^{11} +(2.85819 - 0.331099i) q^{12} +(2.95351 + 2.06803i) q^{13} +(0.0602854 + 0.124685i) q^{14} +(0.0462995 + 3.21659i) q^{15} +(2.91513 - 2.73898i) q^{16} +(-0.360001 - 1.34354i) q^{17} +(-0.432577 + 1.24246i) q^{18} +(-2.61189 + 4.52392i) q^{19} +(2.71828 + 3.55119i) q^{20} +0.140887 q^{21} +(4.77966 + 5.53653i) q^{22} +(-3.69862 - 0.991041i) q^{23} +(-1.21763 - 3.88267i) q^{24} +(-4.25638 + 2.62359i) q^{25} +(2.08985 - 4.65108i) q^{26} +(3.99820 + 3.99820i) q^{27} +(0.157224 - 0.116798i) q^{28} +(-5.00089 + 2.88727i) q^{29} +(4.45604 - 0.917009i) q^{30} -9.73477i q^{31} +(-4.57762 - 3.32346i) q^{32} +(7.18712 - 1.92578i) q^{33} +(-1.77094 + 0.856256i) q^{34} +(0.112207 + 0.188045i) q^{35} +(1.84064 + 0.271545i) q^{36} +(6.06241 + 1.62442i) q^{37} +(6.97678 + 2.42904i) q^{38} +(-3.33426 - 3.97355i) q^{39} +(4.21253 - 4.71748i) q^{40} +(-5.83725 - 10.1104i) q^{41} +(-0.0373481 - 0.195713i) q^{42} +(-1.45375 - 5.42545i) q^{43} +(6.42400 - 8.10734i) q^{44} +(-0.509413 + 2.01683i) q^{45} +(-0.396228 + 5.40063i) q^{46} +(-2.08792 - 2.08792i) q^{47} +(-5.07081 + 2.72073i) q^{48} +(-6.05387 + 3.49520i) q^{49} +(4.77289 + 5.21724i) q^{50} +2.00107i q^{51} +(-7.01503 - 1.67014i) q^{52} +(-5.32526 - 5.32526i) q^{53} +(4.49419 - 6.61397i) q^{54} +(8.29443 + 8.05904i) q^{55} +(-0.203928 - 0.187445i) q^{56} +(5.31405 - 5.31405i) q^{57} +(5.33653 + 6.18158i) q^{58} +(-0.0290288 + 0.0502794i) q^{59} +(-2.45512 - 5.94700i) q^{60} +(-4.24055 + 7.34484i) q^{61} +(-13.5230 + 2.58061i) q^{62} +(0.0879981 + 0.0235790i) q^{63} +(-3.40327 + 7.24001i) q^{64} +(2.64806 - 7.61497i) q^{65} +(-4.58044 - 9.47344i) q^{66} +(1.13125 - 4.22189i) q^{67} +(1.65893 + 2.23311i) q^{68} +(4.77070 + 2.75436i) q^{69} +(0.231477 - 0.205721i) q^{70} +(2.16646 + 1.25081i) q^{71} +(-0.110722 - 2.62890i) q^{72} +(-2.95321 - 2.95321i) q^{73} +(0.649458 - 8.85220i) q^{74} +(6.89169 - 2.06096i) q^{75} +(1.52480 - 10.3357i) q^{76} +(0.358142 - 0.358142i) q^{77} +(-4.63595 + 5.68513i) q^{78} -2.17146 q^{79} +(-7.66997 - 4.60125i) q^{80} +(-2.67187 - 4.62781i) q^{81} +(-12.4974 + 10.7890i) q^{82} +(1.73204 - 1.73204i) q^{83} +(-0.261973 + 0.103764i) q^{84} +(-2.67088 + 1.59372i) q^{85} +(-7.15137 + 3.45771i) q^{86} +(8.02447 - 2.15015i) q^{87} +(-12.9652 - 6.77468i) q^{88} +(6.10731 - 3.52606i) q^{89} +(2.93671 + 0.173004i) q^{90} +(-0.331799 - 0.120761i) q^{91} +(7.60730 - 0.881246i) q^{92} +(-3.62475 + 13.5277i) q^{93} +(-2.34694 + 3.45392i) q^{94} +(11.3251 + 2.86049i) q^{95} +(5.12372 + 6.32286i) q^{96} +(2.54897 + 9.51290i) q^{97} +(6.46018 + 7.48316i) q^{98} +4.81137 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 144 q - 6 q^{2} - 24 q^{5} - 4 q^{6} - 24 q^{8}+O(q^{10}) $ 144 * q - 6 * q^2 - 24 * q^5 - 4 * q^6 - 24 * q^8	$ 144 q - 6 q^{2} - 24 q^{5} - 4 q^{6} - 24 q^{8} - 16 q^{10} + 20 q^{12} - 12 q^{13} - 28 q^{16} - 4 q^{18} + 30 q^{20} - 32 q^{21} - 28 q^{22} - 24 q^{25} - 12 q^{26} + 14 q^{28} - 4 q^{30} + 4 q^{32} - 28 q^{33} + 4 q^{36} + 20 q^{40} + 24 q^{41} - 56 q^{42} - 4 q^{46} + 12 q^{48} + 20 q^{50} - 2 q^{52} + 24 q^{53} - 20 q^{56} - 24 q^{57} - 42 q^{58} + 88 q^{60} - 32 q^{61} - 128 q^{66} - 32 q^{68} + 108 q^{70} + 2 q^{72} - 8 q^{73} + 60 q^{76} - 72 q^{77} - 120 q^{78} - 64 q^{80} - 32 q^{81} - 42 q^{82} - 48 q^{85} - 24 q^{86} - 42 q^{88} - 56 q^{90} - 84 q^{92} + 8 q^{93} + 160 q^{96} + 68 q^{97} + 98 q^{98}+O(q^{100}) $ 144 * q - 6 * q^2 - 24 * q^5 - 4 * q^6 - 24 * q^8 - 16 * q^10 + 20 * q^12 - 12 * q^13 - 28 * q^16 - 4 * q^18 + 30 * q^20 - 32 * q^21 - 28 * q^22 - 24 * q^25 - 12 * q^26 + 14 * q^28 - 4 * q^30 + 4 * q^32 - 28 * q^33 + 4 * q^36 + 20 * q^40 + 24 * q^41 - 56 * q^42 - 4 * q^46 + 12 * q^48 + 20 * q^50 - 2 * q^52 + 24 * q^53 - 20 * q^56 - 24 * q^57 - 42 * q^58 + 88 * q^60 - 32 * q^61 - 128 * q^66 - 32 * q^68 + 108 * q^70 + 2 * q^72 - 8 * q^73 + 60 * q^76 - 72 * q^77 - 120 * q^78 - 64 * q^80 - 32 * q^81 - 42 * q^82 - 48 * q^85 - 24 * q^86 - 42 * q^88 - 56 * q^90 - 84 * q^92 + 8 * q^93 + 160 * q^96 + 68 * q^97 + 98 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/260\mathbb{Z}\right)^\times$.

$n$	$41$	$131$	$157$
$\chi(n)$	$e\left(\frac{1}{3}\right)$	$-1$	$e\left(\frac{3}{4}\right)$

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 $

$2$	−0.265092	−	1.38915i	−0.187448	−	0.982274i
$2$	−0.265092	−	1.38915i	−0.187448	−	0.982274i
$3$	−1.38963	−	0.372351i	−0.802304	−	0.214977i	−0.165709	−	0.986175i	$-0.552991\pi$
$3$	−1.38963	−	0.372351i	−0.802304	−	0.214977i	−0.636595	+	0.771198i	$0.719658\pi$
$4$	−1.85945	+	0.736503i	−0.929726	+	0.368251i
$5$	−0.609763	−	2.15132i	−0.272694	−	0.962101i
$5$	−0.609763	−	2.15132i	−0.272694	−	0.962101i
$6$	−0.148869	+	2.02911i	−0.0607756	+	0.828380i
$7$	−0.0945931	+	0.0253462i	−0.0357528	+	0.00957994i	−0.276651	−	0.960970i	$-0.589225\pi$
$7$	−0.0945931	+	0.0253462i	−0.0357528	+	0.00957994i	0.240898	+	0.970550i	$0.422558\pi$
$8$	1.51604	+	2.38781i	0.535999	+	0.844218i
$9$	−0.805646	−	0.465140i	−0.268549	−	0.155047i
$10$	−2.82686	+	1.41735i	−0.893931	+	0.448205i
$11$	−4.47905	+	2.58598i	−1.35048	+	0.779702i	−0.988317	−	0.152411i	$-0.951296\pi$
$11$	−4.47905	+	2.58598i	−1.35048	+	0.779702i	−0.362166	+	0.932113i	$0.617963\pi$
$12$	2.85819	−	0.331099i	0.825089	−	0.0955800i
$13$	2.95351	+	2.06803i	0.819157	+	0.573569i
$13$	2.95351	+	2.06803i	0.819157	+	0.573569i
$14$	0.0602854	+	0.124685i	0.0161119	+	0.0333234i
$15$	0.0462995	+	3.21659i	0.0119545	+	0.830520i
$16$	2.91513	−	2.73898i	0.728782	−	0.684746i
$17$	−0.360001	−	1.34354i	−0.0873130	−	0.325857i	0.908429	−	0.418039i	$-0.137282\pi$
$17$	−0.360001	−	1.34354i	−0.0873130	−	0.325857i	−0.995742	+	0.0921822i	$0.970616\pi$
$18$	−0.432577	+	1.24246i	−0.101959	+	0.292852i
$19$	−2.61189	+	4.52392i	−0.599208	+	1.03786i	0.393730	+	0.919226i	$0.371185\pi$
$19$	−2.61189	+	4.52392i	−0.599208	+	1.03786i	−0.992938	+	0.118633i	$0.962149\pi$
$20$	2.71828	+	3.55119i	0.607826	+	0.794070i
$21$	0.140887			0.0307441
$22$	4.77966	+	5.53653i	1.01903	+	1.18039i
$23$	−3.69862	−	0.991041i	−0.771215	−	0.206646i	−0.148307	−	0.988941i	$-0.547382\pi$
$23$	−3.69862	−	0.991041i	−0.771215	−	0.206646i	−0.622908	+	0.782295i	$0.714049\pi$
$24$	−1.21763	−	3.88267i	−0.248547	−	0.792547i
$25$	−4.25638	+	2.62359i	−0.851276	+	0.524719i
$26$	2.08985	−	4.65108i	0.409853	−	0.912152i
$27$	3.99820	+	3.99820i	0.769454	+	0.769454i
$28$	0.157224	−	0.116798i	0.0297125	−	0.0220728i
$29$	−5.00089	+	2.88727i	−0.928642	+	0.536152i	−0.886382	−	0.462955i	$-0.846789\pi$
$29$	−5.00089	+	2.88727i	−0.928642	+	0.536152i	−0.0422603	+	0.999107i	$0.513456\pi$
$30$	4.45604	−	0.917009i	0.813558	−	0.167422i
$31$		−	9.73477i		−	1.74842i	−0.485551	−	0.874208i	$-0.661381\pi$
$31$		−	9.73477i		−	1.74842i	0.485551	−	0.874208i	$-0.338619\pi$
$32$	−4.57762	−	3.32346i	−0.809217	−	0.587509i
$33$	7.18712	−	1.92578i	1.25112	−	0.335236i
$34$	−1.77094	+	0.856256i	−0.303714	+	0.146847i
$35$	0.112207	+	0.188045i	0.0189665	+	0.0317854i
$36$	1.84064	+	0.271545i	0.306773	+	0.0452575i
$37$	6.06241	+	1.62442i	0.996655	+	0.267053i	0.720043	−	0.693929i	$-0.244122\pi$
$37$	6.06241	+	1.62442i	0.996655	+	0.267053i	0.276611	+	0.960982i	$0.410789\pi$
$38$	6.97678	+	2.42904i	1.13178	+	0.394042i
$39$	−3.33426	−	3.97355i	−0.533909	−	0.636277i
$40$	4.21253	−	4.71748i	0.666059	−	0.745899i
$41$	−5.83725	−	10.1104i	−0.911625	−	1.57898i	−0.811769	−	0.583979i	$-0.801495\pi$
$41$	−5.83725	−	10.1104i	−0.911625	−	1.57898i	−0.0998564	−	0.995002i	$-0.531838\pi$
$42$	−0.0373481	−	0.195713i	−0.00576293	−	0.0301992i
$43$	−1.45375	−	5.42545i	−0.221694	−	0.827374i	−0.983702	−	0.179806i	$-0.942453\pi$
$43$	−1.45375	−	5.42545i	−0.221694	−	0.827374i	0.762008	−	0.647568i	$-0.224214\pi$
$44$	6.42400	−	8.10734i	0.968454	−	1.22223i
$45$	−0.509413	+	2.01683i	−0.0759388	+	0.300651i
$46$	−0.396228	+	5.40063i	−0.0584206	+	0.796280i
$47$	−2.08792	−	2.08792i	−0.304555	−	0.304555i	0.538238	−	0.842793i	$-0.319090\pi$
$47$	−2.08792	−	2.08792i	−0.304555	−	0.304555i	−0.842793	+	0.538238i	$0.819090\pi$
$48$	−5.07081	+	2.72073i	−0.731909	+	0.392703i
$49$	−6.05387	+	3.49520i	−0.864839	+	0.499315i
$50$	4.77289	+	5.21724i	0.674988	+	0.737829i
$51$			2.00107i			0.280206i
$52$	−7.01503	−	1.67014i	−0.972810	−	0.231607i
$53$	−5.32526	−	5.32526i	−0.731481	−	0.731481i	0.239432	−	0.970913i	$-0.423039\pi$
$53$	−5.32526	−	5.32526i	−0.731481	−	0.731481i	−0.970913	+	0.239432i	$0.923039\pi$
$54$	4.49419	−	6.61397i	0.611582	−	0.900047i
$55$	8.29443	+	8.05904i	1.11842	+	1.08668i
$56$	−0.203928	−	0.187445i	−0.0272511	−	0.0250484i
$57$	5.31405	−	5.31405i	0.703863	−	0.703863i
$58$	5.33653	+	6.18158i	0.700721	+	0.811681i
$59$	−0.0290288	+	0.0502794i	−0.00377923	+	0.00654582i	−0.867909	−	0.496724i	$-0.834536\pi$
$59$	−0.0290288	+	0.0502794i	−0.00377923	+	0.00654582i	0.864130	+	0.503269i	$0.167870\pi$
$60$	−2.45512	−	5.94700i	−0.316955	−	0.767754i
$61$	−4.24055	+	7.34484i	−0.542947	+	0.940411i	0.455787	+	0.890089i	$0.349358\pi$
$61$	−4.24055	+	7.34484i	−0.542947	+	0.940411i	−0.998733	+	0.0503218i	$0.983975\pi$
$62$	−13.5230	+	2.58061i	−1.71743	+	0.327738i
$63$	0.0879981	+	0.0235790i	0.0110867	+	0.00297068i
$64$	−3.40327	+	7.24001i	−0.425409	+	0.905001i
$65$	2.64806	−	7.61497i	0.328452	−	0.944521i
$66$	−4.58044	−	9.47344i	−0.563813	−	1.16610i
$67$	1.13125	−	4.22189i	0.138204	−	0.515786i	−0.861760	−	0.507317i	$-0.830637\pi$
$67$	1.13125	−	4.22189i	0.138204	−	0.515786i	0.999964	−	0.00846922i	$-0.00269587\pi$
$68$	1.65893	+	2.23311i	0.201174	+	0.270804i
$69$	4.77070	+	2.75436i	0.574324	+	0.331586i
$70$	0.231477	−	0.205721i	0.0276668	−	0.0245884i
$71$	2.16646	+	1.25081i	0.257111	+	0.148443i	0.623016	−	0.782209i	$-0.285907\pi$
$71$	2.16646	+	1.25081i	0.257111	+	0.148443i	−0.365905	+	0.930652i	$0.619240\pi$
$72$	−0.110722	−	2.62890i	−0.0130487	−	0.309819i
$73$	−2.95321	−	2.95321i	−0.345647	−	0.345647i	0.512838	−	0.858485i	$-0.328594\pi$
$73$	−2.95321	−	2.95321i	−0.345647	−	0.345647i	−0.858485	+	0.512838i	$0.828594\pi$
$74$	0.649458	−	8.85220i	0.0754980	−	1.02905i
$75$	6.89169	−	2.06096i	0.795784	−	0.237980i
$76$	1.52480	−	10.3357i	0.174907	−	1.18558i
$77$	0.358142	−	0.358142i	0.0408141	−	0.0408141i
$78$	−4.63595	+	5.68513i	−0.524918	+	0.643714i
$79$	−2.17146			−0.244308			−0.122154	−	0.992511i	$-0.538980\pi$
$79$	−2.17146			−0.244308			−0.122154	+	0.992511i	$0.538980\pi$
$80$	−7.66997	−	4.60125i	−0.857529	−	0.514435i
$81$	−2.67187	−	4.62781i	−0.296874	−	0.514202i
$82$	−12.4974	+	10.7890i	−1.38011	+	1.19144i
$83$	1.73204	−	1.73204i	0.190116	−	0.190116i	−0.605630	−	0.795746i	$-0.707079\pi$
$83$	1.73204	−	1.73204i	0.190116	−	0.190116i	0.795746	+	0.605630i	$0.207079\pi$
$84$	−0.261973	+	0.103764i	−0.0285836	+	0.0113216i
$85$	−2.67088	+	1.59372i	−0.289697	+	0.172863i
$86$	−7.15137	+	3.45771i	−0.771152	+	0.372854i
$87$	8.02447	−	2.15015i	0.860314	−	0.230520i
$88$	−12.9652	−	6.77468i	−1.38210	−	0.722183i
$89$	6.10731	−	3.52606i	0.647374	−	0.373762i	−0.140075	−	0.990141i	$-0.544735\pi$
$89$	6.10731	−	3.52606i	0.647374	−	0.373762i	0.787449	+	0.616379i	$0.211401\pi$
$90$	2.93671	+	0.173004i	0.309557	+	0.0182362i
$91$	−0.331799	−	0.120761i	−0.0347820	−	0.0126592i
$92$	7.60730	−	0.881246i	0.793116	−	0.0918763i
$93$	−3.62475	+	13.5277i	−0.375869	+	1.40276i
$94$	−2.34694	+	3.45392i	−0.242068	+	0.356245i
$95$	11.3251	+	2.86049i	1.16193	+	0.293480i
$96$	5.12372	+	6.32286i	0.522937	+	0.645324i
$97$	2.54897	+	9.51290i	0.258809	+	0.965889i	0.965932	+	0.258798i	$0.0833263\pi$
$97$	2.54897	+	9.51290i	0.258809	+	0.965889i	−0.707122	+	0.707091i	$0.750007\pi$
$98$	6.46018	+	7.48316i	0.652577	+	0.755913i
$99$	4.81137			0.483561
$100$	5.98225	−	8.01328i	0.598225	−	0.801328i
$101$	5.71166	+	9.89289i	0.568331	+	0.984379i	0.996731	+	0.0807897i	$0.0257442\pi$
$101$	5.71166	+	9.89289i	0.568331	+	0.984379i	−0.428400	+	0.903589i	$0.640922\pi$
$102$	2.77978	−	0.530468i	0.275240	−	0.0525242i
$103$	−6.40636	+	6.40636i	−0.631238	+	0.631238i	−0.948378	−	0.317141i	$-0.897277\pi$
$103$	−6.40636	+	6.40636i	−0.631238	+	0.631238i	0.317141	+	0.948378i	$0.397277\pi$
$104$	−0.460439	+	10.1876i	−0.0451497	+	0.998980i
$105$	−0.0859078	−	0.303094i	−0.00838374	−	0.0295789i
$106$	−5.98588	+	8.80925i	−0.581400	+	0.855630i
$107$	1.52059	−	5.67491i	0.147001	−	0.548614i	−0.852657	−	0.522470i	$-0.825011\pi$
$107$	1.52059	−	5.67491i	0.147001	−	0.548614i	0.999658	−	0.0261439i	$-0.00832280\pi$
$108$	−10.3791	−	4.48978i	−0.998733	−	0.432029i
$109$		−	4.11945i		−	0.394572i	−0.980346	−	0.197286i	$-0.936787\pi$
$109$		−	4.11945i		−	0.394572i	0.980346	−	0.197286i	$-0.0632128\pi$
$110$	8.99640	−	13.6586i	0.857773	−	1.30229i
$111$	−7.81967	−	4.51469i	−0.742210	−	0.428515i
$112$	−0.206328	+	0.332976i	−0.0194962	+	0.0314633i
$113$	4.58275	−	1.22794i	0.431109	−	0.115515i	−0.0367379	−	0.999325i	$-0.511697\pi$
$113$	4.58275	−	1.22794i	0.431109	−	0.115515i	0.467847	+	0.883810i	$0.345030\pi$
$114$	−8.79070	−	5.97328i	−0.823324	−	0.559449i
$115$	0.123230	+	8.56122i	0.0114912	+	0.798338i
$116$	7.17244	−	9.05190i	0.665944	−	0.840448i
$117$	−1.41756	−	3.03990i	−0.131054	−	0.281039i
$118$	0.0775407	+	0.0269966i	0.00713820	+	0.00248524i
$119$	0.0681072	+	0.117965i	0.00624338	+	0.0108138i
$120$	−7.61042	+	4.98702i	−0.694733	+	0.455251i
$121$	7.87458	−	13.6392i	0.715871	−	1.23992i
$122$	11.3272	+	3.94368i	1.02552	+	0.357044i
$123$	4.34701	+	16.2232i	0.391956	+	1.46280i
$124$	7.16969	+	18.1013i	0.643857	+	1.62555i
$125$	8.23958	+	7.55707i	0.736970	+	0.675925i
$126$	0.00942711	−	0.128493i	0.000839834	−	0.0114470i
$127$	2.70103	−	10.0804i	0.239678	−	0.894490i	−0.736306	−	0.676648i	$-0.763432\pi$
$127$	2.70103	−	10.0804i	0.239678	−	0.894490i	0.975984	−	0.217841i	$-0.0699016\pi$
$128$	10.9596	+	2.80838i	0.968702	+	0.248228i
$129$			8.08068i			0.711464i
$130$	−11.2803	−	1.65988i	−0.989346	−	0.145581i
$131$			0.976465i			0.0853141i	0.999090	+	0.0426571i	$0.0135823\pi$
$131$			0.976465i			0.0853141i	−0.999090	+	0.0426571i	$0.986418\pi$
$132$	−11.9458	+	8.87423i	−1.03974	+	0.772403i
$133$	0.132403	−	0.494133i	0.0114808	−	0.0428468i
$134$	−6.16471	−	0.452285i	−0.532549	−	0.0390715i
$135$	6.16346	−	11.0394i	0.530466	−	0.950117i
$136$	2.66235	−	2.89647i	0.228294	−	0.248370i
$137$	3.12322	+	11.6560i	0.266835	+	0.995840i	0.961118	+	0.276139i	$0.0890549\pi$
$137$	3.12322	+	11.6560i	0.266835	+	0.995840i	−0.694283	+	0.719702i	$0.744278\pi$
$138$	2.56154	−	7.35735i	0.218053	−	0.626300i
$139$	0.912376	−	1.58028i	0.0773867	−	0.134038i	−0.824735	−	0.565519i	$-0.808676\pi$
$139$	0.912376	−	1.58028i	0.0773867	−	0.134038i	0.902122	+	0.431482i	$0.142009\pi$
$140$	−0.347140	−	0.267020i	−0.0293387	−	0.0225673i
$141$	2.12400	+	3.67888i	0.178873	+	0.309818i
$142$	1.16324	−	3.34110i	0.0976170	−	0.280379i
$143$	−18.5768	−	1.62509i	−1.55347	−	0.135897i
$144$	−3.62257	+	0.850709i	−0.301881	+	0.0708924i
$145$	9.26080	+	8.99798i	0.769068	+	0.747242i
$146$	−3.31956	+	4.88531i	−0.274729	+	0.404311i
$147$	9.71409	−	2.60288i	0.801205	−	0.214682i
$148$	−12.4692	+	1.44445i	−1.02496	+	0.118733i
$149$	−4.45905	−	2.57443i	−0.365299	−	0.210906i	0.306103	−	0.951998i	$-0.400975\pi$
$149$	−4.45905	−	2.57443i	−0.365299	−	0.210906i	−0.671403	+	0.741093i	$0.734308\pi$
$150$	−4.68991	−	9.02722i	−0.382930	−	0.737070i
$151$			8.79495i			0.715723i	0.933775	+	0.357861i	$0.116494\pi$
$151$			8.79495i			0.715723i	−0.933775	+	0.357861i	$0.883506\pi$
$152$	−14.7620	+	0.621735i	−1.19736	+	0.0504294i
$153$	−0.334902	+	1.24987i	−0.0270752	+	0.101046i
$154$	−0.592453	−	0.402571i	−0.0477412	−	0.0324401i
$155$	−20.9426	+	5.93590i	−1.68215	+	0.476783i
$156$	9.12643	+	4.93293i	0.730699	+	0.394950i
$157$	−8.22104	+	8.22104i	−0.656110	+	0.656110i	−0.954457	−	0.298347i	$-0.903565\pi$
$157$	−8.22104	+	8.22104i	−0.656110	+	0.656110i	0.298347	+	0.954457i	$0.403565\pi$
$158$	0.575635	+	3.01647i	0.0457951	+	0.239977i
$159$	5.41728	+	9.38301i	0.429619	+	0.744121i
$160$	−4.35856	+	11.8745i	−0.344574	+	0.938759i
$161$	0.374983			0.0295528
$162$	−5.72042	+	4.93841i	−0.449439	+	0.387998i
$163$	−5.21239	−	19.4529i	−0.408266	−	1.52367i	−0.797952	−	0.602721i	$-0.794083\pi$
$163$	−5.21239	−	19.4529i	−0.408266	−	1.52367i	0.389686	−	0.920948i	$-0.372583\pi$
$164$	18.3004	+	14.5007i	1.42902	+	1.13231i
$165$	−8.52541	−	14.2875i	−0.663703	−	1.11228i
$166$	−2.86521	−	1.94691i	−0.222383	−	0.151109i
$167$	4.72997	−	17.6525i	0.366016	−	1.36599i	−0.500023	−	0.866012i	$-0.666675\pi$
$167$	4.72997	−	17.6525i	0.366016	−	1.36599i	0.866039	−	0.499977i	$-0.166658\pi$
$168$	0.213590	+	0.336412i	0.0164788	+	0.0259547i
$169$	4.44648	+	12.2159i	0.342037	+	0.939686i
$170$	2.92194	+	3.28775i	0.224102	+	0.252159i
$171$	4.20851	−	2.42979i	0.321833	−	0.185810i
$172$	6.69903	+	9.01768i	0.510796	+	0.687592i
$173$	−8.15536	+	2.18522i	−0.620040	+	0.166139i	−0.555146	−	0.831753i	$-0.687338\pi$
$173$	−8.15536	+	2.18522i	−0.620040	+	0.166139i	−0.0648943	+	0.997892i	$0.520671\pi$
$174$	−5.11409	−	10.5772i	−0.387699	−	0.801853i
$175$	0.336126	−	0.356057i	0.0254087	−	0.0269154i
$176$	−5.97404	+	19.8065i	−0.450310	+	1.49297i
$177$	0.0590609	−	0.0590609i	0.00443929	−	0.00443929i
$178$	−6.51721	−	7.54922i	−0.488486	−	0.565838i
$179$	−1.56534	−	2.71126i	−0.116999	−	0.202649i	0.801578	−	0.597890i	$-0.203994\pi$
$179$	−1.56534	−	2.71126i	−0.116999	−	0.202649i	−0.918577	+	0.395242i	$0.870661\pi$
$180$	−0.538171	−	4.12538i	−0.0401129	−	0.307488i
$181$	−14.3084			−1.06354			−0.531768	−	0.846890i	$-0.678472\pi$
$181$	−14.3084			−1.06354			−0.531768	+	0.846890i	$0.678472\pi$
$182$	−0.0797982	+	0.492930i	−0.00591503	+	0.0365384i
$183$	8.62766	−	8.62766i	0.637775	−	0.637775i
$184$	−3.24081	−	10.3340i	−0.238916	−	0.761836i
$185$	−0.201986	−	14.0327i	−0.0148503	−	1.03171i
$186$	19.7529	+	1.44921i	1.44835	+	0.106261i
$187$	5.08683	+	5.08683i	0.371986	+	0.371986i
$188$	5.42016	+	2.34463i	0.395305	+	0.171000i
$189$	−0.479541	−	0.276863i	−0.0348815	−	0.0201388i
$190$	0.971464	−	16.4904i	0.0704774	−	1.19634i
$191$	0.882283	+	0.509386i	0.0638398	+	0.0368579i	0.531580	−	0.847008i	$-0.321598\pi$
$191$	0.882283	+	0.509386i	0.0638398	+	0.0368579i	−0.467740	+	0.883866i	$0.654932\pi$
$192$	7.42512	−	8.79373i	0.535862	−	0.634633i
$193$	2.88677	−	10.7736i	0.207794	−	0.775498i	−0.780786	−	0.624799i	$-0.785181\pi$
$193$	2.88677	−	10.7736i	0.207794	−	0.775498i	0.988580	−	0.150699i	$-0.0481524\pi$
$194$	12.5391	−	6.06269i	0.900255	−	0.435276i
$195$	−6.51527	+	9.59599i	−0.466568	+	0.687183i
$196$	8.68266	−	10.9579i	0.620190	−	0.782704i
$197$	−1.36187	−	0.364912i	−0.0970292	−	0.0259989i	0.209978	−	0.977706i	$-0.432661\pi$
$197$	−1.36187	−	0.364912i	−0.0970292	−	0.0259989i	−0.307007	+	0.951707i	$0.599328\pi$
$198$	−1.27545	−	6.68369i	−0.0906426	−	0.474989i
$199$	−10.1828	+	17.6372i	−0.721841	+	1.25026i	0.238421	+	0.971162i	$0.423370\pi$
$199$	−10.1828	+	17.6372i	−0.721841	+	1.25026i	−0.960261	+	0.279103i	$0.909963\pi$
$200$	−12.7175	−	6.18596i	−0.899260	−	0.437414i
$201$	−3.14405	+	5.44565i	−0.221764	+	0.384106i
$202$	12.2285	−	10.5569i	0.860398	−	0.742778i
$203$	0.399869	−	0.399869i	0.0280653	−	0.0280653i
$204$	−1.47380	−	3.72090i	−0.103186	−	0.260515i
$205$	−18.1914	+	18.7228i	−1.27054	+	1.30765i
$206$	10.5976	+	7.20110i	0.738373	+	0.501724i
$207$	2.51880	+	2.51880i	0.175069	+	0.175069i
$208$	14.2742	−	2.06104i	0.989736	−	0.142908i
$209$		−	27.0172i		−	1.86882i
$210$	−0.398268	+	0.199686i	−0.0274831	+	0.0137797i
$211$	1.76597	−	1.01958i	0.121574	−	0.0701908i	−0.437980	−	0.898985i	$-0.644306\pi$
$211$	1.76597	−	1.01958i	0.121574	−	0.0701908i	0.559554	+	0.828794i	$0.310973\pi$
$212$	13.8241	+	5.98000i	0.949446	+	0.410708i
$213$	−2.54484	−	2.54484i	−0.174370	−	0.174370i
$214$	−8.28637	−	0.607945i	−0.566445	−	0.0415583i
$215$	−10.7855	+	6.43572i	−0.735562	+	0.438912i
$216$	−3.48553	+	15.6083i	−0.237160	+	1.06201i
$217$	0.246739	+	0.920842i	0.0167497	+	0.0625109i
$218$	−5.72252	+	1.09203i	−0.387578	+	0.0739618i
$219$	3.00424	+	5.20350i	0.203008	+	0.351620i
$220$	−21.3586	−	8.87653i	−1.44000	−	0.598456i
$221$	1.71522	−	4.71266i	0.115378	−	0.317008i
$222$	−4.19863	+	12.0595i	−0.281793	+	0.809378i
$223$	15.1109	+	4.04896i	1.01190	+	0.271139i	0.726424	−	0.687246i	$-0.241181\pi$
$223$	15.1109	+	4.04896i	1.01190	+	0.271139i	0.285479	+	0.958385i	$0.407847\pi$
$224$	0.517249	+	0.198351i	0.0345601	+	0.0132529i
$225$	4.64947	−	0.133876i	0.309965	−	0.00892509i
$226$	−2.92064	−	6.04059i	−0.194278	−	0.401814i
$227$	−7.17603	+	1.92281i	−0.476290	+	0.127622i	−0.488975	−	0.872298i	$-0.662629\pi$
$227$	−7.17603	+	1.92281i	−0.476290	+	0.127622i	0.0126845	+	0.999920i	$0.495962\pi$
$228$	−5.96741	+	13.7950i	−0.395201	+	0.913598i
$229$		−	9.12820i		−	0.603208i	−0.953433	−	0.301604i	$-0.902478\pi$
$229$		−	9.12820i		−	0.603208i	0.953433	−	0.301604i	$-0.0975221\pi$
$230$	11.8601	−	2.44069i	0.782033	−	0.160935i
$231$	−0.631041	+	0.364331i	−0.0415194	+	0.0239712i
$232$	−14.4758	−	7.56398i	−0.950381	−	0.496600i
$233$	−9.15211	−	9.15211i	−0.599575	−	0.599575i	0.340624	−	0.940199i	$-0.389362\pi$
$233$	−9.15211	−	9.15211i	−0.599575	−	0.599575i	−0.940199	+	0.340624i	$0.889362\pi$
$234$	−3.84708	+	2.77505i	−0.251491	+	0.181411i
$235$	−3.21866	+	5.76493i	−0.209962	+	0.376063i
$236$	0.0169468	−	0.114872i	0.00110314	−	0.00747752i
$237$	3.01752	+	0.808543i	0.196009	+	0.0525205i
$238$	0.145816	−	0.125882i	0.00945186	−	0.00815975i
$239$	30.2994			1.95991			0.979953	−	0.199226i	$-0.0638429\pi$
$239$	30.2994			1.95991			0.979953	+	0.199226i	$0.0638429\pi$
$240$	8.94516	+	9.24996i	0.577407	+	0.597082i
$241$	14.9900	−	25.9635i	0.965593	−	1.67246i	0.257579	−	0.966257i	$-0.417075\pi$
$241$	14.9900	−	25.9635i	0.965593	−	1.67246i	0.708014	−	0.706199i	$-0.249592\pi$
$242$	−21.0343	−	7.32330i	−1.35213	−	0.470760i
$243$	−2.40058	−	8.95909i	−0.153997	−	0.574726i
$244$	2.47560	−	16.7806i	0.158484	−	1.07427i
$245$	11.2107	+	10.8926i	0.716228	+	0.695902i
$246$	21.3841	−	10.3393i	1.36340	−	0.659208i
$247$	−17.0699	+	7.96000i	−1.08613	+	0.506483i
$248$	23.2448	−	14.7583i	1.47605	−	0.937150i
$249$	−3.05183	+	1.76197i	−0.193402	+	0.111661i
$250$	8.31363	−	13.4493i	0.525800	−	0.850608i
$251$	−21.4923	−	12.4086i	−1.35658	−	0.783221i	−0.367418	−	0.930056i	$-0.619758\pi$
$251$	−21.4923	−	12.4086i	−1.35658	−	0.783221i	−0.989161	+	0.146835i	$0.953091\pi$
$252$	−0.180994	+	0.0209668i	−0.0114016	+	0.00132078i
$253$	19.1291	−	5.12562i	1.20264	−	0.322245i
$254$	−14.7192	−	1.07990i	−0.923562	−	0.0677588i
$255$	4.30496	−	1.22018i	0.269587	−	0.0764107i
$256$	0.995939	−	15.9690i	0.0622462	−	0.998061i
$257$	−1.09816	−	0.294250i	−0.0685011	−	0.0183548i	0.224406	−	0.974496i	$-0.427956\pi$
$257$	−1.09816	−	0.294250i	−0.0685011	−	0.0183548i	−0.292907	+	0.956141i	$0.594623\pi$
$258$	11.2252	−	2.14212i	0.698853	−	0.133363i
$259$	−0.614635			−0.0381916
$260$	0.684498	+	16.1100i	0.0424508	+	0.999099i
$261$	5.37193			0.332514
$262$	1.35645	−	0.258853i	0.0838019	−	0.0159920i
$263$	−14.1336	−	3.78708i	−0.871514	−	0.233522i	−0.204772	−	0.978810i	$-0.565645\pi$
$263$	−14.1336	−	3.78708i	−0.871514	−	0.233522i	−0.666742	+	0.745288i	$0.732312\pi$
$264$	15.4943	+	14.2419i	0.953610	+	0.876529i
$265$	−8.20921	+	14.7035i	−0.504288	+	0.903229i
$266$	−0.721522	−	0.0529358i	−0.0442394	−	0.00324570i
$267$	−9.79984	+	2.62586i	−0.599741	+	0.160700i
$268$	1.00592	+	8.68357i	0.0614466	+	0.530434i
$269$	−5.30907	−	3.06519i	−0.323700	−	0.186888i	0.329341	−	0.944211i	$-0.393174\pi$
$269$	−5.30907	−	3.06519i	−0.323700	−	0.186888i	−0.653041	+	0.757323i	$0.726507\pi$
$270$	−16.9692	−	5.63550i	−1.03271	−	0.342966i
$271$	−27.3492	+	15.7901i	−1.66134	+	0.959177i	−0.689269	+	0.724505i	$0.742068\pi$
$271$	−27.3492	+	15.7901i	−1.66134	+	0.959177i	−0.972075	+	0.234672i	$0.924598\pi$
$272$	−4.72939	−	2.93056i	−0.286761	−	0.177691i
$273$	0.416112	+	0.291359i	0.0251843	+	0.0176339i
$274$	15.3640	−	7.42852i	0.928171	−	0.448773i
$275$	12.2800	−	22.7581i	0.740509	−	1.37237i
$276$	−10.8995	−	1.60798i	−0.656072	−	0.0967888i
$277$	−1.11302	−	4.15386i	−0.0668751	−	0.249581i	0.924393	−	0.381441i	$-0.124572\pi$
$277$	−1.11302	−	4.15386i	−0.0668751	−	0.249581i	−0.991268	+	0.131859i	$0.957905\pi$
$278$	−2.43710	−	0.848503i	−0.146168	−	0.0508898i
$279$	−4.52803	+	7.84278i	−0.271086	+	0.469535i
$280$	−0.278906	+	0.553012i	−0.0166678	+	0.0330488i
$281$	−9.42305			−0.562132			−0.281066	−	0.959688i	$-0.590688\pi$
$281$	−9.42305			−0.562132			−0.281066	+	0.959688i	$0.590688\pi$
$282$	4.54745	−	3.92579i	0.270797	−	0.233778i
$283$	27.1693	+	7.27999i	1.61505	+	0.432751i	0.949541	−	0.313642i	$-0.101549\pi$
$283$	27.1693	+	7.27999i	1.61505	+	0.432751i	0.665506	+	0.746393i	$0.268216\pi$
$284$	−4.94965	−	0.730211i	−0.293708	−	0.0433300i
$285$	−14.6725	−	8.19192i	−0.869126	−	0.485248i
$286$	2.66707	+	26.2367i	0.157707	+	1.55141i
$287$	0.808424	+	0.808424i	0.0477197	+	0.0477197i
$288$	2.14207	+	4.80676i	0.126223	+	0.283241i
$289$	13.0469	−	7.53265i	0.767466	−	0.443097i
$290$	10.0445	−	15.2499i	0.589836	−	0.895505i
$291$		−	14.1685i		−	0.830574i
$292$	7.66639	+	3.31630i	0.448642	+	0.194072i
$293$	11.0377	−	2.95754i	0.644830	−	0.172782i	0.0784396	−	0.996919i	$-0.475006\pi$
$293$	11.0377	−	2.95754i	0.644830	−	0.172782i	0.566390	+	0.824137i	$0.308340\pi$
$294$	−6.19091	−	12.8043i	−0.361061	−	0.746761i
$295$	0.125868	+	0.0317918i	0.00732831	+	0.00185099i
$296$	5.31203	+	16.9386i	0.308755	+	0.984534i
$297$	−28.2474	−	7.56886i	−1.63908	−	0.439190i
$298$	−2.39420	+	6.87673i	−0.138693	+	0.398358i
$299$	−8.87441	−	10.5759i	−0.513220	−	0.611621i
$300$	−11.2969	+	8.90801i	−0.652225	+	0.514304i
$301$	0.275029	+	0.476364i	0.0158524	+	0.0274571i
$302$	12.2175	−	2.33147i	0.703036	−	0.134161i
$303$	−4.25348	−	15.8742i	−0.244356	−	0.911949i
$304$	4.77696	+	20.3417i	0.273978	+	1.16668i
$305$	18.3869	+	4.64417i	1.05283	+	0.265925i
$306$	1.82503	+	0.133897i	0.104330	+	0.00765437i
$307$	5.41428	+	5.41428i	0.309009	+	0.309009i	0.844525	−	0.535516i	$-0.179883\pi$
$307$	5.41428	+	5.41428i	0.309009	+	0.309009i	−0.535516	+	0.844525i	$0.679883\pi$
$308$	−0.402176	+	0.929722i	−0.0229161	+	0.0529758i
$309$	11.2879	−	6.51707i	0.642146	−	0.370743i
$310$	13.7976	+	27.5188i	0.783649	+	1.56296i
$311$			30.2186i			1.71354i	0.515699	+	0.856770i	$0.327532\pi$
$311$			30.2186i			1.71354i	−0.515699	+	0.856770i	$0.672468\pi$
$312$	4.43321	−	13.9856i	0.250981	−	0.791780i
$313$	12.9059	+	12.9059i	0.729487	+	0.729487i	0.970518	−	0.241030i	$-0.0774853\pi$
$313$	12.9059	+	12.9059i	0.729487	+	0.729487i	−0.241030	+	0.970518i	$0.577485\pi$
$314$	13.5996	+	9.24089i	0.767467	+	0.521494i
$315$	−0.00293190	−	0.203690i	−0.000165194	−	0.0114766i
$316$	4.03772	−	1.59928i	0.227139	−	0.0899667i
$317$	−3.48246	+	3.48246i	−0.195594	+	0.195594i	−0.798108	−	0.602514i	$-0.794166\pi$
$317$	−3.48246	+	3.48246i	−0.195594	+	0.195594i	0.602514	+	0.798108i	$0.294166\pi$
$318$	11.5983	−	10.0128i	0.650400	−	0.561488i
$319$	14.9328	−	25.8644i	0.836077	−	1.44813i
$320$	17.6508	+	2.90685i	0.986709	+	0.162498i
$321$	−4.22611	+	7.31984i	−0.235879	+	0.408554i
$322$	−0.0994049	−	0.520906i	−0.00553962	−	0.0290289i
$323$	7.01836	+	1.88056i	0.390512	+	0.104637i
$324$	8.37661	+	6.63736i	0.465367	+	0.368742i
$325$	−17.9969	−	1.05351i	−0.998291	−	0.0584383i
$326$	−25.6412	+	12.3976i	−1.42013	+	0.686638i
$327$	−1.53388	+	5.72452i	−0.0848238	+	0.316567i
$328$	15.2923	−	29.2660i	0.844374	−	1.61594i
$329$	0.250424	+	0.144582i	0.0138063	+	0.00797108i
$330$	−17.5874	+	15.6306i	−0.968157	+	0.860434i
$331$	1.46974	+	0.848557i	0.0807844	+	0.0466409i	0.539848	−	0.841762i	$-0.318482\pi$
$331$	1.46974	+	0.848557i	0.0807844	+	0.0466409i	−0.459064	+	0.888403i	$0.651815\pi$
$332$	−1.94500	+	4.49630i	−0.106746	+	0.246767i
$333$	−4.12858	−	4.12858i	−0.226245	−	0.226245i
$334$	−25.7757	−	1.89109i	−1.41039	−	0.103476i
$335$	−9.77244	+	0.140664i	−0.533925	+	0.00768530i
$336$	0.410704	−	0.385888i	0.0224058	−	0.0210519i
$337$	22.8580	−	22.8580i	1.24515	−	1.24515i	0.287317	−	0.957836i	$-0.407237\pi$
$337$	22.8580	−	22.8580i	1.24515	−	1.24515i	0.957836	−	0.287317i	$-0.0927632\pi$
$338$	15.7910	−	9.41515i	0.858916	−	0.512117i
$339$	−6.82556			−0.370713
$340$	3.79259	−	4.93055i	0.205682	−	0.267397i
$341$	25.1739	+	43.6025i	1.36324	+	2.36121i
$342$	−4.49097	−	5.20212i	−0.242844	−	0.281299i
$343$	0.968793	−	0.968793i	0.0523099	−	0.0523099i
$344$	10.7510	−	11.6964i	0.579656	−	0.630630i
$345$	3.01653	−	11.9428i	0.162405	−	0.642980i
$346$	5.19751	+	10.7497i	0.279420	+	0.577907i
$347$	−16.0280	+	4.29470i	−0.860430	+	0.230551i	−0.661945	−	0.749553i	$-0.730269\pi$
$347$	−16.0280	+	4.29470i	−0.860430	+	0.230551i	−0.198485	+	0.980104i	$0.563602\pi$
$348$	−13.3375	+	9.90815i	−0.714967	+	0.531132i
$349$	−18.5208	+	10.6930i	−0.991397	+	0.572384i	−0.905692	−	0.423937i	$-0.860648\pi$
$349$	−18.5208	+	10.6930i	−0.991397	+	0.572384i	−0.0857056	+	0.996321i	$0.527314\pi$
$350$	−0.583719	−	0.372540i	−0.0312011	−	0.0199131i
$351$	3.54033	+	20.0771i	0.188969	+	1.07164i
$352$	29.0978	+	3.04827i	1.55092	+	0.162473i
$353$	−1.06865	+	3.98827i	−0.0568787	+	0.212274i	−0.988516	−	0.151115i	$-0.951714\pi$
$353$	−1.06865	+	3.98827i	−0.0568787	+	0.212274i	0.931638	+	0.363389i	$0.118380\pi$
$354$	−0.0977008	−	0.0663876i	−0.00519274	−	0.00352846i
$355$	1.36986	−	5.42345i	0.0727046	−	0.287847i
$356$	−8.75931	+	11.0546i	−0.464242	+	0.585892i
$357$	−0.0507195	−	0.189288i	−0.00268436	−	0.0100182i
$358$	−3.35137	+	2.89322i	−0.177125	+	0.152912i
$359$	−19.4786			−1.02804			−0.514021	−	0.857778i	$-0.671845\pi$
$359$	−19.4786			−1.02804			−0.514021	+	0.857778i	$0.671845\pi$
$360$	−5.58809	+	1.84120i	−0.294518	+	0.0970399i
$361$	−4.14392	−	7.17749i	−0.218101	−	0.377762i
$362$	3.79304	+	19.8765i	0.199358	+	1.04468i
$363$	−16.0213	+	16.0213i	−0.840901	+	0.840901i
$364$	0.705905	−	0.0198204i	0.0369995	−	0.00103887i
$365$	−4.55255	+	8.15406i	−0.238291	+	0.426803i
$366$	−14.2722	−	9.69795i	−0.746020	−	0.506920i
$367$	4.40058	−	16.4232i	0.229708	−	0.857283i	−0.750755	−	0.660581i	$-0.770310\pi$
$367$	4.40058	−	16.4232i	0.229708	−	0.857283i	0.980463	−	0.196702i	$-0.0630232\pi$
$368$	−13.4964	+	7.24144i	−0.703548	+	0.377486i
$369$			10.8605i			0.565378i
$370$	−19.4399	+	4.00055i	−1.01063	+	0.207979i
$371$	0.638708	+	0.368758i	0.0331601	+	0.0191450i
$372$	−3.22317	−	27.8238i	−0.167114	−	1.44260i
$373$	−7.52954	+	2.01753i	−0.389865	+	0.104464i	−0.448426	−	0.893820i	$-0.648015\pi$
$373$	−7.52954	+	2.01753i	−0.389865	+	0.104464i	0.0585613	+	0.998284i	$0.481349\pi$
$374$	5.71787	−	8.41483i	0.295664	−	0.435120i
$375$	−8.63610	−	13.5696i	−0.445966	−	0.700729i
$376$	1.82020	−	8.15093i	0.0938696	−	0.420352i
$377$	−20.7412	−	1.81443i	−1.06822	−	0.0934478i
$378$	−0.257481	+	0.739546i	−0.0132434	+	0.0380382i
$379$	6.15949	+	10.6686i	0.316392	+	0.548007i	0.979732	−	0.200311i	$-0.0641952\pi$
$379$	6.15949	+	10.6686i	0.316392	+	0.548007i	−0.663341	+	0.748318i	$0.730862\pi$
$380$	−23.1652	+	3.02198i	−1.18835	+	0.155024i
$381$	−7.50688	+	13.0023i	−0.384589	+	0.666128i
$382$	0.473726	−	1.36065i	0.0242379	−	0.0696171i
$383$	9.27422	+	34.6119i	0.473891	+	1.76858i	0.625585	+	0.780156i	$0.284860\pi$
$383$	9.27422	+	34.6119i	0.473891	+	1.76858i	−0.151694	+	0.988427i	$0.548473\pi$
$384$	−14.1841	−	7.98342i	−0.723830	−	0.407402i
$385$	−0.988862	−	0.552098i	−0.0503971	−	0.0281375i
$386$	−15.7313	−	1.15416i	−0.800702	−	0.0587450i
$387$	−1.35239	+	5.04719i	−0.0687459	+	0.256563i
$388$	−11.7460	−	15.8115i	−0.596311	−	0.802705i
$389$			10.7860i			0.546874i	0.961890	+	0.273437i	$0.0881605\pi$
$389$			10.7860i			0.546874i	−0.961890	+	0.273437i	$0.911840\pi$
$390$	15.0574	+	6.50684i	0.762460	+	0.329487i
$391$			5.32602i			0.269348i
$392$	−17.5238	−	9.15664i	−0.885084	−	0.462480i
$393$	0.363587	−	1.35693i	0.0183406	−	0.0684479i
$394$	−0.145895	+	1.98857i	−0.00735010	+	0.100183i
$395$	1.32407	+	4.67150i	0.0666213	+	0.235049i
$396$	−8.94651	+	3.54359i	−0.449579	+	0.178072i
$397$	−0.759650	−	2.83505i	−0.0381258	−	0.142287i	0.944239	−	0.329260i	$-0.106799\pi$
$397$	−0.759650	−	2.83505i	−0.0381258	−	0.142287i	−0.982365	+	0.186972i	$0.940132\pi$
$398$	27.2000	+	9.46995i	1.36341	+	0.474686i
$399$	−0.367982	+	0.637363i	−0.0184221	+	0.0319081i
$400$	−5.22191	+	19.3063i	−0.261095	+	0.965313i
$401$	−8.57298	−	14.8488i	−0.428114	−	0.741515i	0.568591	−	0.822620i	$-0.307489\pi$
$401$	−8.57298	−	14.8488i	−0.428114	−	0.741515i	−0.996706	+	0.0811046i	$0.974155\pi$
$402$	8.39826	+	2.92394i	0.418867	+	0.145833i
$403$	20.1318	−	28.7518i	1.00284	−	1.43223i
$404$	−17.9067	−	14.1887i	−0.890892	−	0.705914i
$405$	−8.32671	+	8.56992i	−0.413758	+	0.425843i
$406$	−0.661478	−	0.449474i	−0.0328286	−	0.0223070i
$407$	−31.3546	+	8.40143i	−1.55419	+	0.416443i
$408$	−4.77818	+	3.03370i	−0.236555	+	0.150190i
$409$	−28.6103	−	16.5181i	−1.41469	−	0.816769i	−0.418861	−	0.908051i	$-0.637570\pi$
$409$	−28.6103	−	16.5181i	−1.41469	−	0.816769i	−0.995825	+	0.0912813i	$0.970904\pi$
$410$	30.8310	+	20.3073i	1.52264	+	1.00291i
$411$		−	17.3605i		−	0.856330i
$412$	7.19403	−	16.6306i	0.354424	−	0.819333i
$413$	0.00147154	−	0.00549185i	7.24096e−5	−	0.000270236i
$414$	2.83127	−	4.16670i	0.139149	−	0.204782i
$415$	−4.78232	−	2.67005i	−0.234755	−	0.131067i
$416$	−6.64706	−	19.2825i	−0.325899	−	0.945405i
$417$	−1.85628	+	1.85628i	−0.0909026	+	0.0909026i
$418$	−37.5308	+	7.16203i	−1.83569	+	0.350306i
$419$	−1.23923	−	2.14641i	−0.0605403	−	0.104859i	0.834167	−	0.551512i	$-0.185949\pi$
$419$	−1.23923	−	2.14641i	−0.0605403	−	0.104859i	−0.894707	+	0.446653i	$0.852616\pi$
$420$	0.382971	+	0.500317i	0.0186871	+	0.0244130i
$421$	17.9803			0.876307			0.438153	−	0.898900i	$-0.355633\pi$
$421$	17.9803			0.876307			0.438153	+	0.898900i	$0.355633\pi$
$422$	−1.88449	−	2.18290i	−0.0917355	−	0.106262i
$423$	0.710950	+	2.65330i	0.0345676	+	0.129008i
$424$	4.64243	−	20.7890i	0.225456	−	1.00960i
$425$	5.05721	+	4.77412i	0.245311	+	0.231579i
$426$	−2.86054	+	4.20977i	−0.138594	+	0.203964i
$427$	0.214963	−	0.802253i	0.0104028	−	0.0388238i
$428$	1.35213	+	11.6721i	0.0653575	+	0.564194i
$429$	25.2098	+	9.17537i	1.21714	+	0.442991i
$430$	11.7993	+	13.2765i	0.569012	+	0.640251i
$431$	15.9320	−	9.19835i	0.767418	−	0.443069i	−0.0645346	−	0.997915i	$-0.520556\pi$
$431$	15.9320	−	9.19835i	0.767418	−	0.443069i	0.831953	+	0.554846i	$0.187223\pi$
$432$	22.6063	+	0.704260i	1.08764	+	0.0338837i
$433$	−35.7394	+	9.57635i	−1.71753	+	0.460210i	−0.977250	−	0.212092i	$-0.931972\pi$
$433$	−35.7394	+	9.57635i	−1.71753	+	0.460210i	−0.740277	+	0.672302i	$0.765306\pi$
$434$	1.21378	−	0.586864i	0.0582631	−	0.0281704i
$435$	−9.51869	−	15.9521i	−0.456386	−	0.764847i
$436$	3.03399	+	7.65993i	0.145302	+	0.366844i
$437$	14.1438	−	14.1438i	0.676588	−	0.676588i
$438$	6.43202	−	5.55273i	0.307334	−	0.265320i
$439$	3.65933	+	6.33815i	0.174650	+	0.302504i	0.940040	−	0.341063i	$-0.110787\pi$
$439$	3.65933	+	6.33815i	0.174650	+	0.302504i	−0.765390	+	0.643567i	$0.777454\pi$
$440$	−6.66881	+	32.0233i	−0.317923	+	1.52665i
$441$	6.50304			0.309668
$442$	−7.00126	−	1.13340i	−0.333016	−	0.0539105i
$443$	−21.3678	+	21.3678i	−1.01522	+	1.01522i	−0.0153346	+	0.999882i	$0.504881\pi$
$443$	−21.3678	+	21.3678i	−1.01522	+	1.01522i	−0.999882	+	0.0153346i	$0.995119\pi$
$444$	17.8654	+	2.63564i	0.847853	+	0.125082i
$445$	−11.3097	−	10.9887i	−0.536131	−	0.520916i
$446$	1.61881	−	22.0646i	0.0766531	−	1.04479i
$447$	5.23784	+	5.23784i	0.247741	+	0.247741i
$448$	0.138420	−	0.771115i	0.00653972	−	0.0364318i
$449$	−0.140040	−	0.0808520i	−0.00660889	−	0.00381564i	0.496692	−	0.867927i	$-0.334548\pi$
$449$	−0.140040	−	0.0808520i	−0.00660889	−	0.00381564i	−0.503301	+	0.864111i	$0.667881\pi$
$450$	−1.41851	−	6.42331i	−0.0668693	−	0.302798i
$451$	52.2906	+	30.1900i	2.46227	+	1.42159i
$452$	−7.61702	+	5.65851i	−0.358274	+	0.266154i
$453$	3.27480	−	12.2217i	0.153864	−	0.574227i
$454$	4.57338	+	9.45884i	0.214639	+	0.443925i
$455$	−0.0574784	+	0.787442i	−0.00269463	+	0.0369158i
$456$	20.7452	+	4.63265i	0.971484	+	0.216944i
$457$	24.5739	+	6.58457i	1.14952	+	0.308013i	0.782773	−	0.622307i	$-0.213805\pi$
$457$	24.5739	+	6.58457i	1.14952	+	0.308013i	0.366748	+	0.930320i	$0.380471\pi$
$458$	−12.6804	+	2.41981i	−0.592516	+	0.113070i
$459$	3.93239	−	6.81110i	0.183548	−	0.317915i
$460$	−6.53450	−	15.8284i	−0.304673	−	0.738004i
$461$	0.384205	−	0.665462i	0.0178942	−	0.0309937i	−0.856940	−	0.515417i	$-0.827637\pi$
$461$	0.384205	−	0.665462i	0.0178942	−	0.0309937i	0.874834	+	0.484423i	$0.160970\pi$
$462$	0.673393	+	0.780026i	0.0313291	+	0.0362901i
$463$	7.15533	−	7.15533i	0.332536	−	0.332536i	−0.521013	−	0.853549i	$-0.674446\pi$
$463$	7.15533	−	7.15533i	0.332536	−	0.332536i	0.853549	+	0.521013i	$0.174446\pi$
$464$	−6.67006	+	22.1141i	−0.309650	+	1.02662i
$465$	31.3128	−	0.450715i	1.45210	−	0.0209014i
$466$	−10.2875	+	15.1398i	−0.476558	+	0.701336i
$467$	18.4885	+	18.4885i	0.855544	+	0.855544i	0.990809	−	0.135265i	$-0.0431887\pi$
$467$	18.4885	+	18.4885i	0.855544	+	0.855544i	−0.135265	+	0.990809i	$0.543189\pi$
$468$	4.87478	+	4.60851i	0.225337	+	0.213028i
$469$			0.428035i			0.0197648i
$470$	8.86158	+	2.94295i	0.408754	+	0.135748i
$471$	14.4853	−	8.36310i	0.667448	−	0.385351i
$472$	−0.164066	+	0.00691003i	−0.00755176	+	0.000318060i
$473$	20.5415	+	20.5415i	0.944499	+	0.944499i
$474$	0.323263	−	4.40612i	0.0148480	−	0.202380i
$475$	−0.751752	−	26.1081i	−0.0344928	−	1.19792i
$476$	−0.213524	−	0.169189i	−0.00978685	−	0.00775479i
$477$	1.81328	+	6.76727i	0.0830245	+	0.309852i
$478$	−8.03213	−	42.0903i	−0.367381	−	1.92517i
$479$	−5.23404	−	9.06562i	−0.239149	−	0.414219i	0.721321	−	0.692601i	$-0.243535\pi$
$479$	−5.23404	−	9.06562i	−0.239149	−	0.414219i	−0.960470	+	0.278382i	$0.910202\pi$
$480$	10.4783	−	14.8782i	0.478265	−	0.679095i
$481$	14.5461	+	17.3350i	0.663244	+	0.790409i
$482$	−40.0408	−	13.9406i	−1.82381	−	0.634978i
$483$	−0.521088	−	0.139625i	−0.0237103	−	0.00635316i
$484$	−4.59712	+	31.1610i	−0.208960	+	1.41641i
$485$	18.9110	−	11.2843i	0.858707	−	0.512393i
$486$	−11.8091	+	5.70974i	−0.535672	+	0.258999i
$487$	33.0975	−	8.86845i	1.49979	−	0.401868i	0.586761	−	0.809760i	$-0.300403\pi$
$487$	33.0975	−	8.86845i	1.49979	−	0.401868i	0.913030	+	0.407893i	$0.133736\pi$
$488$	−23.9669	+	1.00942i	−1.08493	+	0.0456944i
$489$			28.9732i			1.31021i
$490$	12.1595	−	18.4609i	0.549311	−	0.833978i
$491$	27.3732	−	15.8039i	1.23533	−	0.713221i	0.267198	−	0.963642i	$-0.413902\pi$
$491$	27.3732	−	15.8039i	1.23533	−	0.713221i	0.968137	+	0.250421i	$0.0805690\pi$
$492$	−20.0315	−	26.9648i	−0.903090	−	1.21567i
$493$	5.67949	+	5.67949i	0.255791	+	0.255791i
$494$	15.5827	+	21.6024i	0.701098	+	0.971938i
$495$	−2.93379	−	10.3508i	−0.131864	−	0.465234i
$496$	−26.6634	−	28.3781i	−1.19722	−	1.27421i
$497$	−0.236635	−	0.0634062i	−0.0106145	−	0.00284416i
$498$	3.25665	+	3.77235i	0.145934	+	0.169043i
$499$	−29.0076			−1.29856			−0.649280	−	0.760550i	$-0.724929\pi$
$499$	−29.0076			−1.29856			−0.649280	+	0.760550i	$0.724929\pi$
$500$	−20.8869	−	7.98355i	−0.934091	−	0.357035i
$501$	−13.1458	+	22.7692i	−0.587312	+	1.01725i
$502$	−11.5399	+	33.1453i	−0.515050	+	1.47935i
$503$	−2.28910	−	8.54303i	−0.102066	−	0.380915i	0.895930	−	0.444195i	$-0.146510\pi$
$503$	−2.28910	−	8.54303i	−0.102066	−	0.380915i	−0.997996	+	0.0632805i	$0.979844\pi$
$504$	0.0771060	+	0.245869i	0.00343457	+	0.0109519i
$505$	17.8000	−	18.3199i	0.792091	−	0.815227i
$506$	−12.1912	−	25.2143i	−0.541965	−	1.12091i
$507$	−1.63036	−	18.6313i	−0.0724069	−	0.827444i
$508$	2.40179	+	20.7333i	0.106562	+	0.919892i
$509$	18.2240	−	10.5216i	0.807765	−	0.466363i	−0.0384142	−	0.999262i	$-0.512231\pi$
$509$	18.2240	−	10.5216i	0.807765	−	0.466363i	0.846179	+	0.532899i	$0.178897\pi$
$510$	−2.83622	−	5.65675i	−0.125590	−	0.250485i
$511$	0.354206	+	0.204501i	0.0156691	+	0.00904658i
$512$	−22.4472	+	2.84974i	−0.992038	+	0.125942i
$513$	−28.5304	+	7.64469i	−1.25965	+	0.337522i
$514$	−0.117644	+	1.60350i	−0.00518905	+	0.0707275i
$515$	17.6885	+	9.87579i	0.779449	+	0.435179i
$516$	−5.95144	−	15.0256i	−0.261998	−	0.661467i
$517$	14.7512	+	3.95258i	0.648758	+	0.173834i
$518$	0.162935	+	0.853818i	0.00715895	+	0.0375146i
$519$	12.1466			0.533177
$520$	22.1977	−	5.22149i	0.973432	−	0.228978i
$521$	−15.3493			−0.672464			−0.336232	−	0.941779i	$-0.609153\pi$
$521$	−15.3493			−0.672464			−0.336232	+	0.941779i	$0.609153\pi$
$522$	−1.42406	−	7.46240i	−0.0623292	−	0.326620i
$523$	3.19567	+	0.856276i	0.139737	+	0.0374423i	0.328009	−	0.944674i	$-0.393622\pi$
$523$	3.19567	+	0.856276i	0.139737	+	0.0374423i	−0.188273	+	0.982117i	$0.560289\pi$
$524$	−0.719169	−	1.81569i	−0.0314170	−	0.0793188i
$525$	−0.599669	+	0.369631i	−0.0261717	+	0.0161320i
$526$	−1.51411	+	20.6375i	−0.0660184	+	0.899839i
$527$	−13.0791	+	3.50453i	−0.569733	+	0.152660i
$528$	15.6767	−	25.2993i	0.682240	−	1.10101i
$529$	−7.22099	−	4.16904i	−0.313956	−	0.181263i
$530$	22.6015	+	7.50601i	0.981746	+	0.326040i
$531$	0.0467739	−	0.0270049i	0.00202981	−	0.00117191i
$532$	0.117734	+	1.01633i	0.00510442	+	0.0440636i
$533$	3.66827	−	41.9329i	0.158890	−	1.81631i
$534$	6.24556	+	12.9173i	0.270272	+	0.558987i
$535$	−13.1358	+	0.189076i	−0.567908	+	0.00817445i
$536$	11.7961	−	3.69932i	0.509513	−	0.159786i
$537$	1.16571	+	4.35050i	0.0503043	+	0.187738i
$538$	−2.85061	+	8.18763i	−0.122899	+	0.352994i
$539$	18.0771	−	31.3104i	0.778634	−	1.34863i
$540$	−3.33014	+	25.0666i	−0.143306	+	1.07869i
$541$	−5.88219			−0.252895			−0.126447	−	0.991973i	$-0.540358\pi$
$541$	−5.88219			−0.252895			−0.126447	+	0.991973i	$0.540358\pi$
$542$	29.1847	+	33.8062i	1.25359	+	1.45210i
$543$	19.8834	+	5.32774i	0.853279	+	0.228635i
$544$	−2.81725	+	7.34668i	−0.120789	+	0.314986i
$545$	−8.86227	+	2.51189i	−0.379618	+	0.107598i
$546$	0.294433	−	0.655278i	0.0126006	−	0.0280433i
$547$	1.72600	+	1.72600i	0.0737985	+	0.0737985i	0.743043	−	0.669244i	$-0.233382\pi$
$547$	1.72600	+	1.72600i	0.0737985	+	0.0737985i	−0.669244	+	0.743043i	$0.733382\pi$
$548$	−14.3922	−	19.3735i	−0.614803	−	0.827597i
$549$	6.83276	−	3.94490i	0.291615	−	0.168364i
$550$	−34.8696	−	11.0257i	−1.48685	−	0.470136i
$551$		−	30.1649i		−	1.28507i
$552$	0.655650	+	15.5672i	0.0279063	+	0.662585i
$553$	0.205405	−	0.0550380i	0.00873470	−	0.00234046i
$554$	−5.47526	+	2.64731i	−0.232622	+	0.112473i
$555$	−4.94440	+	19.5755i	−0.209878	+	0.830934i
$556$	−0.532638	+	3.61043i	−0.0225889	+	0.153116i
$557$	−23.8198	−	6.38250i	−1.00928	−	0.270435i	−0.283950	−	0.958839i	$-0.591645\pi$
$557$	−23.8198	−	6.38250i	−1.00928	−	0.270435i	−0.725327	+	0.688404i	$0.758312\pi$
$558$	12.0951	+	4.21104i	0.512027	+	0.178267i
$559$	6.92636	−	19.0305i	0.292954	−	0.804906i
$560$	0.842151	+	0.240842i	0.0355874	+	0.0101774i
$561$	−5.17474	−	8.96290i	−0.218477	−	0.378414i
$562$	2.49797	+	13.0900i	0.105371	+	0.552168i
$563$	6.14140	+	22.9200i	0.258829	+	0.965964i	0.965920	+	0.258841i	$0.0833406\pi$
$563$	6.14140	+	22.9200i	0.258829	+	0.965964i	−0.707091	+	0.707123i	$0.749993\pi$
$564$	−6.65899	−	5.27637i	−0.280394	−	0.222175i
$565$	−5.43609	−	9.11022i	−0.228698	−	0.383270i
$566$	2.91061	−	39.6720i	0.122342	−	1.66754i
$567$	0.370038	+	0.370038i	0.0155401	+	0.0155401i
$568$	0.297742	+	7.06936i	0.0124930	+	0.296624i
$569$	−29.6037	+	17.0917i	−1.24105	+	0.716521i	−0.969308	−	0.245849i	$-0.920933\pi$
$569$	−29.6037	+	17.0917i	−1.24105	+	0.716521i	−0.271742	+	0.962370i	$0.587600\pi$
$570$	−7.49020	+	22.5539i	−0.313730	+	0.944679i
$571$		−	11.9727i		−	0.501042i	−0.968111	−	0.250521i	$-0.919398\pi$
$571$		−	11.9727i		−	0.501042i	0.968111	−	0.250521i	$-0.0806019\pi$
$572$	35.7396	−	10.6601i	1.49435	−	0.445721i
$573$	−1.03638	−	1.03638i	−0.0432953	−	0.0432953i
$574$	0.908712	−	1.33732i	0.0379289	−	0.0558189i
$575$	18.3428	−	5.48542i	0.764948	−	0.228758i
$576$	6.10945	−	4.24989i	0.254560	−	0.177079i
$577$	0.623342	−	0.623342i	0.0259501	−	0.0259501i	−0.694013	−	0.719963i	$-0.744159\pi$
$577$	0.623342	−	0.623342i	0.0259501	−	0.0259501i	0.719963	+	0.694013i	$0.244159\pi$
$578$	−13.9226	−	16.1272i	−0.579103	−	0.670805i
$579$	−8.02308	+	13.8964i	−0.333428	+	0.577514i
$580$	−23.8471	−	9.91072i	−0.990195	−	0.411520i
$581$	−0.119939	+	0.207740i	−0.00497590	+	0.00861850i
$582$	−19.6822	+	3.75596i	−0.815852	+	0.155690i
$583$	37.6231	+	10.0811i	1.55819	+	0.417516i
$584$	2.57453	−	11.5289i	0.106535	−	0.477068i
$585$	−5.67543	+	4.90325i	−0.234650	+	0.202724i
$586$	−7.03447	−	14.5490i	−0.290591	−	0.601012i
$587$	−8.88351	+	33.1537i	−0.366662	+	1.36840i	0.498492	+	0.866894i	$0.333887\pi$
$587$	−8.88351	+	33.1537i	−0.366662	+	1.36840i	−0.865154	+	0.501506i	$0.832779\pi$
$588$	−16.1459	+	11.9944i	−0.665844	+	0.494640i
$589$	44.0394	+	25.4261i	1.81461	+	1.04767i
$590$	0.0107969	−	0.183277i	0.000444503	−	0.00754538i
$591$	1.75662	+	1.01419i	0.0722578	+	0.0417181i
$592$	22.1220	−	11.8695i	0.909207	−	0.487832i
$593$	−10.5295	−	10.5295i	−0.432394	−	0.432394i	0.457048	−	0.889442i	$-0.348907\pi$
$593$	−10.5295	−	10.5295i	−0.432394	−	0.432394i	−0.889442	+	0.457048i	$0.848907\pi$
$594$	−3.02610	+	41.2462i	−0.124162	+	1.69235i
$595$	0.212252	−	0.218451i	0.00870148	−	0.00895563i
$596$	10.1875	+	1.50293i	0.417295	+	0.0615626i
$597$	20.7176	−	20.7176i	0.847913	−	0.847913i
$598$	−12.3390	+	15.1314i	−0.504577	+	0.618770i
$599$	7.21687			0.294873			0.147437	−	0.989072i	$-0.452898\pi$
$599$	7.21687			0.294873			0.147437	+	0.989072i	$0.452898\pi$
$600$	15.3692	+	13.3316i	0.627447	+	0.544259i
$601$	−1.87368	−	3.24530i	−0.0764289	−	0.132379i	0.825278	−	0.564727i	$-0.191018\pi$
$601$	−1.87368	−	3.24530i	−0.0764289	−	0.132379i	−0.901707	+	0.432348i	$0.857685\pi$
$602$	0.588831	−	0.508335i	0.0239989	−	0.0207182i
$603$	−2.87516	+	2.87516i	−0.117085	+	0.117085i
$604$	−6.47750	−	16.3538i	−0.263566	−	0.665426i
$605$	−34.1439	−	8.62410i	−1.38815	−	0.350619i
$606$	−20.9240	+	10.1168i	−0.849980	+	0.410968i
$607$	−30.4912	+	8.17009i	−1.23760	+	0.331614i	−0.817534	−	0.575880i	$-0.804660\pi$
$607$	−30.4912	+	8.17009i	−1.23760	+	0.331614i	−0.420065	+	0.907494i	$0.637993\pi$
$608$	26.9913	−	12.0283i	1.09464	−	0.487813i
$609$	−0.704562	+	0.406779i	−0.0285503	+	0.0164835i
$610$	1.57723	−	26.7732i	0.0638600	−	1.08401i
$611$	−1.84882	−	10.4846i	−0.0747951	−	0.424162i
$612$	−0.297799	−	2.57073i	−0.0120378	−	0.103916i
$613$	−5.04219	+	18.8177i	−0.203652	+	0.760040i	0.786204	+	0.617967i	$0.212043\pi$
$613$	−5.04219	+	18.8177i	−0.203652	+	0.760040i	−0.989856	+	0.142073i	$0.954623\pi$
$614$	6.08595	−	8.95651i	0.245609	−	0.361455i
$615$	32.2508	−	19.2441i	1.30048	−	0.775999i
$616$	1.39813	+	0.312219i	0.0563324	+	0.0125797i
$617$	4.14894	+	15.4840i	0.167030	+	0.623364i	0.997773	+	0.0667074i	$0.0212494\pi$
$617$	4.14894	+	15.4840i	0.167030	+	0.623364i	−0.830743	+	0.556657i	$0.812084\pi$
$618$	−12.0455	−	13.9529i	−0.484541	−	0.561268i
$619$	−38.2271			−1.53648			−0.768238	−	0.640164i	$-0.778866\pi$
$619$	−38.2271			−1.53648			−0.768238	+	0.640164i	$0.778866\pi$
$620$	34.5700	−	26.4618i	1.38837	−	1.06273i
$621$	−10.8254	−	18.7502i	−0.434409	−	0.752419i
$622$	41.9780	−	8.01070i	1.68317	−	0.321200i
$623$	−0.488338	+	0.488338i	−0.0195648	+	0.0195648i
$624$	−20.6033	−	2.45091i	−0.824791	−	0.0981148i
$625$	11.2335	−	22.3340i	0.449340	−	0.893361i
$626$	14.5070	−	21.3495i	0.579816	−	0.853298i
$627$	−10.0599	+	37.5439i	−0.401752	+	1.49936i
$628$	9.23181	−	21.3414i	0.368390	−	0.851616i
$629$		−	8.72990i		−	0.348084i
$630$	−0.282178	+	0.0580694i	−0.0112422	+	0.00231354i
$631$	10.5628	+	6.09843i	0.420498	+	0.242775i	0.695290	−	0.718729i	$-0.255276\pi$
$631$	10.5628	+	6.09843i	0.420498	+	0.242775i	−0.274792	+	0.961504i	$0.588609\pi$
$632$	−3.29200	−	5.18502i	−0.130949	−	0.206249i
$633$	−2.83368	+	0.759283i	−0.112629	+	0.0301788i
$634$	5.76082	+	3.91447i	0.228791	+	0.155464i
$635$	−23.3332	+	0.335856i	−0.925948	+	0.0133281i
$636$	−16.9838	−	13.4574i	−0.673451	−	0.533621i
$637$	−25.1084	−	2.19647i	−0.994831	−	0.0870274i
$638$	−39.8880	−	13.8874i	−1.57918	−	0.549808i
$639$	−1.16360	−	2.01541i	−0.0460313	−	0.0797285i
$640$	−0.641043	−	25.2901i	−0.0253394	−	0.999679i
$641$	8.61838	−	14.9275i	0.340406	−	0.589600i	−0.644102	−	0.764939i	$-0.722769\pi$
$641$	8.61838	−	14.9275i	0.340406	−	0.589600i	0.984508	+	0.175339i	$0.0561022\pi$
$642$	11.2886	+	3.93026i	0.445527	+	0.155115i
$643$	−2.70968	−	10.1127i	−0.106859	−	0.398805i	0.891690	−	0.452646i	$-0.149520\pi$
$643$	−2.70968	−	10.1127i	−0.106859	−	0.398805i	−0.998549	+	0.0538417i	$0.982853\pi$
$644$	−0.697263	+	0.276176i	−0.0274760	+	0.0108828i
$645$	17.3842	−	4.92730i	0.684500	−	0.194012i
$646$	0.751867	−	10.2481i	0.0295818	−	0.403204i
$647$	−1.11363	+	4.15613i	−0.0437814	+	0.163394i	−0.984355	−	0.176194i	$-0.943621\pi$
$647$	−1.11363	+	4.15613i	−0.0437814	+	0.163394i	0.940574	+	0.339589i	$0.110288\pi$
$648$	6.99969	−	13.3958i	0.274974	−	0.526239i
$649$		−	0.300272i		−	0.0117867i
$650$	3.30736	+	25.2797i	0.129726	+	0.991550i
$651$		−	1.37150i		−	0.0537535i
$652$	24.0193	+	32.3328i	0.940668	+	1.26625i
$653$	−6.46761	+	24.1375i	−0.253097	+	0.944572i	0.716042	+	0.698057i	$0.245952\pi$
$653$	−6.46761	+	24.1375i	−0.253097	+	0.944572i	−0.969139	+	0.246514i	$0.920715\pi$
$654$	8.35881	+	0.613260i	0.326855	+	0.0239804i
$655$	2.10069	−	0.595412i	0.0820808	−	0.0232647i
$656$	−44.7086	−	13.4850i	−1.74558	−	0.526501i
$657$	1.00558	+	3.75289i	0.0392316	+	0.146414i
$658$	0.134461	−	0.386203i	0.00524182	−	0.0150558i
$659$	1.86574	−	3.23155i	0.0726788	−	0.125883i	−0.827396	−	0.561619i	$-0.810179\pi$
$659$	1.86574	−	3.23155i	0.0726788	−	0.125883i	0.900075	+	0.435736i	$0.143512\pi$
$660$	26.3754	+	20.2880i	1.02666	+	0.789709i
$661$	−2.38589	−	4.13248i	−0.0928004	−	0.160735i	0.815888	−	0.578210i	$-0.196249\pi$
$661$	−2.38589	−	4.13248i	−0.0928004	−	0.160735i	−0.908688	+	0.417475i	$0.862915\pi$
$662$	0.789152	−	2.26663i	0.0306713	−	0.0880952i
$663$	−4.13829	+	5.91020i	−0.160718	+	0.229533i
$664$	6.76163	+	1.50995i	0.262402	+	0.0585974i
$665$	−1.14377	+	0.0164634i	−0.0443537	+	0.000638425i
$666$	−4.64074	+	6.82965i	−0.179825	+	0.264643i
$667$	21.3578	−	5.72280i	0.826976	−	0.221588i
$668$	4.20595	+	36.3076i	0.162733	+	1.40478i
$669$	−19.4910	−	11.2531i	−0.753565	−	0.435071i
$670$	2.78600	+	13.5381i	0.107632	+	0.523021i
$671$		−	43.8639i		−	1.69335i
$672$	−0.644929	−	0.468232i	−0.0248787	−	0.0180625i
$673$	−1.95715	+	7.30420i	−0.0754427	+	0.281556i	−0.993333	−	0.115277i	$-0.963224\pi$
$673$	−1.95715	+	7.30420i	−0.0754427	+	0.281556i	0.917891	+	0.396834i	$0.129891\pi$
$674$	−37.8125	−	25.6936i	−1.45648	−	0.989680i
$675$	−27.5075	−	6.52820i	−1.05876	−	0.251270i
$676$	−17.2651	−	19.4401i	−0.664042	−	0.747696i
$677$	−15.0614	+	15.0614i	−0.578856	+	0.578856i	−0.934588	−	0.355732i	$-0.884232\pi$
$677$	−15.0614	+	15.0614i	−0.578856	+	0.578856i	0.355732	+	0.934588i	$0.384232\pi$
$678$	1.80940	+	9.48169i	0.0694896	+	0.364142i
$679$	−0.482231	−	0.835248i	−0.0185063	−	0.0320539i
$680$	−7.85464	−	3.96141i	−0.301212	−	0.151913i
$681$	10.6880			0.409565
$682$	53.8968	−	46.5289i	2.06382	−	1.78168i
$683$	−7.64764	−	28.5414i	−0.292629	−	1.09211i	−0.943082	−	0.332560i	$-0.892088\pi$
$683$	−7.64764	−	28.5414i	−0.292629	−	1.09211i	0.650453	−	0.759546i	$-0.274579\pi$
$684$	−6.03599	+	7.61766i	−0.230792	+	0.291268i
$685$	23.1714	−	13.8265i	0.885334	−	0.528282i
$686$	−1.60261	−	1.08898i	−0.0611881	−	0.0415773i
$687$	−3.39889	+	12.6848i	−0.129676	+	0.483956i
$688$	−19.0981	−	11.8341i	−0.728107	−	0.451171i
$689$	−4.71541	−	26.7410i	−0.179643	−	1.01875i
$690$	−17.3900	−	1.02446i	−0.662025	−	0.0390004i
$691$	−23.0074	+	13.2833i	−0.875242	+	0.505321i	−0.869087	−	0.494660i	$-0.835293\pi$
$691$	−23.0074	+	13.2833i	−0.875242	+	0.505321i	−0.00615544	+	0.999981i	$0.501959\pi$
$692$	13.5551	−	10.0698i	0.515287	−	0.382795i
$693$	−0.455122	+	0.121950i	−0.0172887	+	0.00463248i
$694$	10.2149	+	21.1268i	0.387751	+	0.801962i
$695$	−3.95603	−	0.999218i	−0.150061	−	0.0379025i
$696$	17.2995	+	15.9012i	0.655737	+	0.602734i
$697$	−11.4823	+	11.4823i	−0.434925	+	0.434925i
$698$	19.7639	+	22.8935i	0.748073	+	0.866532i
$699$	9.31027	+	16.1259i	0.352147	+	0.609936i
$700$	−0.362774	+	0.909628i	−0.0137116	+	0.0343807i
$701$	−17.8617			−0.674627			−0.337314	−	0.941392i	$-0.609518\pi$
$701$	−17.8617			−0.674627			−0.337314	+	0.941392i	$0.609518\pi$
$702$	26.9516	−	10.2403i	1.01722	−	0.386496i
$703$	−23.1831	+	23.1831i	−0.874367	+	0.874367i
$704$	−3.47909	−	41.2291i	−0.131123	−	1.55388i
$705$	6.61933	−	6.81266i	0.249298	−	0.256580i
$706$	5.82358	+	0.427258i	0.219173	+	0.0160801i
$707$	−0.791030	−	0.791030i	−0.0297498	−	0.0297498i
$708$	−0.0663224	+	0.153319i	−0.00249255	+	0.00576210i
$709$	1.71769	+	0.991710i	0.0645093	+	0.0372444i	0.531908	−	0.846802i	$-0.321475\pi$
$709$	1.71769	+	0.991710i	0.0645093	+	0.0372444i	−0.467398	+	0.884047i	$0.654809\pi$
$710$	−7.89710	−	0.465223i	−0.296373	−	0.0174595i
$711$	1.74942	+	1.01003i	0.0656085	+	0.0378791i
$712$	17.6785	+	9.23747i	0.662528	+	0.346189i
$713$	−9.64756	+	36.0052i	−0.361304	+	1.34840i
$714$	−0.249503	+	0.120635i	−0.00933742	+	0.00451467i
$715$	7.83135	+	40.9556i	0.292876	+	1.53165i
$716$	4.90753	+	3.88857i	0.183403	+	0.145323i
$717$	−42.1050	−	11.2820i	−1.57244	−	0.421334i
$718$	5.16362	+	27.0586i	0.192705	+	1.00982i
$719$	−6.21683	+	10.7679i	−0.231849	+	0.401574i	−0.958352	−	0.285589i	$-0.907811\pi$
$719$	−6.21683	+	10.7679i	−0.231849	+	0.401574i	0.726503	+	0.687163i	$0.241144\pi$
$720$	4.03906	+	7.27459i	0.150527	+	0.271108i
$721$	0.443621	−	0.768375i	0.0165213	−	0.0286158i
$722$	−8.87206	+	7.65921i	−0.330184	+	0.285046i
$723$	−30.4981	+	30.4981i	−1.13424	+	1.13424i
$724$	26.6058	−	10.5382i	0.988797	−	0.391648i
$725$	13.7107	−	25.4096i	0.509202	−	0.943689i
$726$	26.5031	+	18.0088i	0.983621	+	0.668370i
$727$	−19.9059	−	19.9059i	−0.738268	−	0.738268i	0.233975	−	0.972243i	$-0.424827\pi$
$727$	−19.9059	−	19.9059i	−0.738268	−	0.738268i	−0.972243	+	0.233975i	$0.924827\pi$
$728$	−0.214663	−	0.975351i	−0.00795594	−	0.0361489i
$729$			29.3749i			1.08796i
$730$	12.5340	+	4.16257i	0.463905	+	0.154064i
$731$	−6.76597	+	3.90633i	−0.250248	+	0.144481i
$732$	−9.68843	+	22.3970i	−0.358094	+	0.827817i
$733$	−9.43578	−	9.43578i	−0.348518	−	0.348518i	0.511039	−	0.859557i	$-0.329261\pi$
$733$	−9.43578	−	9.43578i	−0.348518	−	0.348518i	−0.859557	+	0.511039i	$0.829261\pi$
$734$	−23.9807	−	1.75939i	−0.885145	−	0.0649403i
$735$	−11.5229	−	19.3110i	−0.425030	−	0.712297i
$736$	13.6372	+	16.8288i	0.502674	+	0.620318i
$737$	5.85079	+	21.8354i	0.215517	+	0.804319i
$738$	15.0869	−	2.87904i	0.555356	−	0.105979i
$739$	−23.2895	−	40.3386i	−0.856719	−	1.48388i	−0.875041	−	0.484048i	$-0.839166\pi$
$739$	−23.2895	−	40.3386i	−0.856719	−	1.48388i	0.0183227	−	0.999832i	$-0.494167\pi$
$740$	10.7107	+	25.9444i	0.393734	+	0.953736i
$741$	26.6847	−	4.70549i	0.980288	−	0.172860i
$742$	0.342943	−	0.985013i	0.0125898	−	0.0361610i
$743$	−13.0370	−	3.49326i	−0.478282	−	0.128155i	0.0116204	−	0.999932i	$-0.496301\pi$
$743$	−13.0370	−	3.49326i	−0.478282	−	0.128155i	−0.489903	+	0.871777i	$0.662968\pi$
$744$	−37.7969	+	11.8533i	−1.38570	+	0.434564i
$745$	−2.81947	+	11.1626i	−0.103297	+	0.408968i
$746$	4.79867	+	9.92480i	0.175692	+	0.363373i
$747$	−2.20106	+	0.589771i	−0.0805324	+	0.0215786i
$748$	−13.2052	−	5.71226i	−0.482829	−	0.208861i
$749$			0.575348i			0.0210228i
$750$	−16.5607	+	15.5940i	−0.604713	+	0.569412i
$751$	−16.4886	+	9.51970i	−0.601678	+	0.347379i	−0.769701	−	0.638404i	$-0.779595\pi$
$751$	−16.4886	+	9.51970i	−0.601678	+	0.347379i	0.168024	+	0.985783i	$0.446262\pi$
$752$	−11.8053	−	0.367776i	−0.430497	−	0.0134114i
$753$	25.2460	+	25.2460i	0.920014	+	0.920014i
$754$	2.97781	+	29.2935i	0.108445	+	1.06681i
$755$	18.9208	−	5.36283i	0.688598	−	0.195174i
$756$	1.09559	+	0.161631i	0.0398464	+	0.00587845i
$757$	−42.7661	−	11.4591i	−1.55436	−	0.416490i	−0.623488	−	0.781833i	$-0.714285\pi$
$757$	−42.7661	−	11.4591i	−1.55436	−	0.416490i	−0.930873	+	0.365343i	$0.880952\pi$
$758$	13.1873	−	11.3846i	0.478986	−	0.413506i
$759$	−28.4909			−1.03415
$760$	10.3389	+	31.3787i	0.375030	+	1.13822i
$761$	−2.80424	+	4.85709i	−0.101654	+	0.176069i	−0.912366	−	0.409375i	$-0.865747\pi$
$761$	−2.80424	+	4.85709i	−0.101654	+	0.176069i	0.810712	+	0.585445i	$0.199080\pi$
$762$	20.0521	+	6.98134i	0.726411	+	0.252907i
$763$	0.104412	+	0.389672i	0.00377998	+	0.0141071i
$764$	−2.01573	−	0.297376i	−0.0729265	−	0.0107587i
$765$	2.89308	−	0.0416429i	0.104600	−	0.00150560i
$766$	45.6224	−	22.0586i	1.64840	−	0.797009i
$767$	−0.189716	+	0.0884682i	−0.00685026	+	0.00319440i
$768$	−7.33004	+	21.8201i	−0.264500	+	0.787367i
$769$	36.8549	−	21.2782i	1.32902	−	0.767312i	0.343874	−	0.939016i	$-0.388261\pi$
$769$	36.8549	−	21.2782i	1.32902	−	0.767312i	0.985149	+	0.171704i	$0.0549273\pi$
$770$	−0.504805	+	1.52003i	−0.0181919	+	0.0547781i
$771$	1.41647	+	0.817799i	0.0510129	+	0.0294523i
$772$	2.56695	+	22.1590i	0.0923865	+	0.797521i
$773$	39.4249	−	10.5639i	1.41801	−	0.379956i	0.533236	−	0.845967i	$-0.320976\pi$
$773$	39.4249	−	10.5639i	1.41801	−	0.379956i	0.884779	+	0.466011i	$0.154309\pi$
$774$	7.36979	+	0.540698i	0.264902	+	0.0194350i
$775$	25.5401	+	41.4349i	0.917427	+	1.48838i
$776$	−18.8507	+	20.5084i	−0.676699	+	0.736207i
$777$	0.854117	+	0.228860i	0.0306413	+	0.00821030i
$778$	14.9834	−	2.85929i	0.537180	−	0.102511i
$779$	60.9850			2.18501
$780$	5.04736	−	22.6418i	0.180724	−	0.810707i
$781$	−12.9382			−0.462966
$782$	7.39862	−	1.41188i	0.264574	−	0.0504889i
$783$	−31.5384	−	8.45069i	−1.12709	−	0.302003i
$784$	−8.07450	+	26.7704i	−0.288375	+	0.956087i
$785$	22.6990	+	12.6732i	0.810162	+	0.452327i
$786$	−1.98135	−	0.145366i	−0.0706725	−	0.00518502i
$787$	−26.2567	+	7.03545i	−0.935949	+	0.250787i	−0.694389	−	0.719599i	$-0.744325\pi$
$787$	−26.2567	+	7.03545i	−0.935949	+	0.250787i	−0.241559	+	0.970386i	$0.577659\pi$
$788$	2.80109	−	0.324484i	0.0997848	−	0.0115593i
$789$	18.2303	+	10.5253i	0.649018	+	0.374710i
$790$	6.13840	−	3.07771i	0.218394	−	0.109500i
$791$	−0.402373	+	0.232310i	−0.0143067	+	0.00825999i
$792$	7.29420	+	11.4886i	0.259188	+	0.408231i
$793$	−27.7139	+	12.9235i	−0.984149	+	0.458927i
$794$	−3.73693	+	1.80681i	−0.132619	+	0.0641215i
$795$	16.8826	−	17.3757i	0.598765	−	0.616254i
$796$	5.94465	−	40.2951i	0.210703	−	1.42822i
$797$	0.740700	+	2.76433i	0.0262369	+	0.0979176i	0.977803	−	0.209528i	$-0.0671926\pi$
$797$	0.740700	+	2.76433i	0.0262369	+	0.0979176i	−0.951566	+	0.307445i	$0.900526\pi$
$798$	0.982939	+	0.342221i	0.0347957	+	0.0121145i
$799$	−2.05356	+	3.55687i	−0.0726496	+	0.125833i
$800$	28.2035	+	2.13606i	0.997144	+	0.0755210i
$801$	−6.56044			−0.231802
$802$	−18.3546	+	15.8454i	−0.648122	+	0.559521i
$803$	20.8645	+	5.59062i	0.736292	+	0.197289i
$804$	1.83547	−	12.4415i	0.0647321	−	0.438779i
$805$	−0.228651	−	0.806709i	−0.00805887	−	0.0284327i
$806$	−45.2772	−	20.3442i	−1.59482	−	0.716593i
$807$	6.23633	+	6.23633i	0.219529	+	0.219529i
$808$	−14.9633	+	28.6363i	−0.526405	+	1.00742i
$809$	−28.2590	+	16.3153i	−0.993533	+	0.573617i	−0.906329	−	0.422574i	$-0.861127\pi$
$809$	−28.2590	+	16.3153i	−0.993533	+	0.573617i	−0.0872046	+	0.996190i	$0.527793\pi$
$810$	14.1122	+	9.29520i	0.495853	+	0.326600i
$811$			28.7528i			1.00965i	0.863223	+	0.504824i	$0.168442\pi$
$811$			28.7528i			1.00965i	−0.863223	+	0.504824i	$0.831558\pi$
$812$	−0.449033	+	1.03804i	−0.0157580	+	0.0364281i
$813$	43.8847	−	11.7589i	1.53910	−	0.412402i
$814$	19.9826	+	41.3289i	0.700391	+	1.44858i
$815$	−38.6711	+	23.0752i	−1.35459	+	0.808289i
$816$	5.48091	+	5.83339i	0.191870	+	0.204209i
$817$	28.3414	+	7.59404i	0.991538	+	0.265682i
$818$	−15.3618	+	44.1226i	−0.537111	+	1.54271i
$819$	0.211141	+	0.251624i	0.00737787	+	0.00879245i
$820$	20.0367	−	48.2121i	0.699713	−	1.68364i
$821$	0.418172	+	0.724296i	0.0145943	+	0.0252781i	0.873230	−	0.487308i	$-0.162021\pi$
$821$	0.418172	+	0.724296i	0.0145943	+	0.0252781i	−0.858636	+	0.512586i	$0.828688\pi$
$822$	−24.1163	+	4.60213i	−0.841151	+	0.160518i
$823$	−11.8533	−	44.2371i	−0.413180	−	1.54201i	−0.788453	−	0.615095i	$-0.789118\pi$
$823$	−11.8533	−	44.2371i	−0.413180	−	1.54201i	0.375273	−	0.926914i	$-0.377549\pi$
$824$	−25.0095	−	5.58491i	−0.871246	−	0.194559i
$825$	−25.5386	+	27.0529i	−0.889140	+	0.941862i
$826$	−0.00801907		0.000588334i	−0.000279019		2.04708e-5i
$827$	19.8999	+	19.8999i	0.691986	+	0.691986i	0.962669	−	0.270682i	$-0.0872493\pi$
$827$	19.8999	+	19.8999i	0.691986	+	0.691986i	−0.270682	+	0.962669i	$0.587249\pi$
$828$	−6.53870	−	2.82849i	−0.227235	−	0.0982968i
$829$	13.1255	−	7.57800i	0.455867	−	0.263195i	−0.254438	−	0.967089i	$-0.581890\pi$
$829$	13.1255	−	7.57800i	0.455867	−	0.263195i	0.710305	+	0.703894i	$0.248557\pi$
$830$	−2.44133	+	7.35114i	−0.0847398	+	0.255162i
$831$			6.18677i			0.214617i
$832$	−25.0242	+	14.3454i	−0.867558	+	0.497337i
$833$	6.87535	+	6.87535i	0.238217	+	0.238217i
$834$	3.07074	+	2.08656i	0.106331	+	0.0722518i
$835$	−40.8603	+	0.588142i	−1.41403	+	0.0203535i
$836$	19.8982	+	50.2371i	0.688194	+	1.73749i
$837$	38.9215	−	38.9215i	1.34533	−	1.34533i
$838$	−2.65316	+	2.29046i	−0.0916520	+	0.0791228i
$839$	1.94653	−	3.37149i	0.0672016	−	0.116397i	−0.830467	−	0.557068i	$-0.811926\pi$
$839$	1.94653	−	3.37149i	0.0672016	−	0.116397i	0.897668	+	0.440671i	$0.145260\pi$
$840$	0.593491	−	0.664633i	0.0204774	−	0.0229320i
$841$	2.17261	−	3.76307i	0.0749176	−	0.129761i
$842$	−4.76643	−	24.9773i	−0.164262	−	0.860774i
$843$	13.0946	+	3.50868i	0.451001	+	0.120845i
$844$	−2.53280	+	3.19650i	−0.0871827	+	0.110028i
$845$	23.5691	−	17.0146i	0.810802	−	0.585321i
$846$	3.49736	−	1.69098i	0.120242	−	0.0581372i
$847$	−0.399180	+	1.48976i	−0.0137160	+	0.0511888i
$848$	−30.1096	−	0.938014i	−1.03397	−	0.0322115i
$849$	−35.0446	−	20.2330i	−1.20273	−	0.694395i
$850$	5.29133	−	8.29078i	0.181491	−	0.284371i
$851$	−20.8127	−	12.0162i	−0.713449	−	0.411910i
$852$	6.60629	+	2.85773i	0.226328	+	0.0979041i
$853$	−10.8365	−	10.8365i	−0.371035	−	0.371035i	0.496819	−	0.867854i	$-0.334501\pi$
$853$	−10.8365	−	10.8365i	−0.371035	−	0.371035i	−0.867854	+	0.496819i	$0.834501\pi$
$854$	−1.17143	−	0.0859443i	−0.0400856	−	0.00294095i
$855$	−7.79345	−	7.57228i	−0.266530	−	0.258966i
$856$	15.8559	−	4.97249i	0.541942	−	0.169956i
$857$	11.0550	−	11.0550i	0.377633	−	0.377633i	−0.492615	−	0.870248i	$-0.663959\pi$
$857$	11.0550	−	11.0550i	0.377633	−	0.377633i	0.870248	+	0.492615i	$0.163959\pi$
$858$	6.06301	−	37.4524i	0.206988	−	1.27860i
$859$	1.79688			0.0613087			0.0306544	−	0.999530i	$-0.490241\pi$
$859$	1.79688			0.0613087			0.0306544	+	0.999530i	$0.490241\pi$
$860$	15.3151	−	19.9104i	0.522241	−	0.678940i
$861$	−0.822394	−	1.42443i	−0.0280271	−	0.0485444i
$862$	−17.0013	−	19.6935i	−0.579067	−	0.670763i
$863$	−31.8758	+	31.8758i	−1.08506	+	1.08506i	−0.0890355	+	0.996028i	$0.528378\pi$
$863$	−31.8758	+	31.8758i	−1.08506	+	1.08506i	−0.996028	+	0.0890355i	$0.971622\pi$
$864$	−5.01442	−	31.5901i	−0.170594	−	1.07472i
$865$	9.67395	+	16.2123i	0.328924	+	0.551236i
$866$	22.7772	+	47.1087i	0.774000	+	1.60082i
$867$	−20.9352	+	5.60957i	−0.710997	+	0.190511i
$868$	−1.13700	−	1.53054i	−0.0385924	−	0.0519499i
$869$	9.72605	−	5.61534i	0.329934	−	0.190487i
$870$	−19.6365	+	17.4516i	−0.665741	+	0.591666i
$871$	12.0722	−	10.1299i	0.409050	−	0.343240i
$872$	9.83647	−	6.24524i	0.333105	−	0.211490i
$873$	2.37126	−	8.84966i	0.0802550	−	0.299516i
$874$	−23.3972	−	15.8984i	−0.791421	−	0.537770i
$875$	−0.970950	−	0.506005i	−0.0328241	−	0.0171061i
$876$	−9.41863	−	7.46303i	−0.318226	−	0.252152i
$877$	−9.41720	−	35.1455i	−0.317996	−	1.18678i	−0.921167	−	0.389167i	$-0.872763\pi$
$877$	−9.41720	−	35.1455i	−0.317996	−	1.18678i	0.603171	−	0.797612i	$-0.293904\pi$
$878$	7.83456	−	6.76354i	0.264404	−	0.228258i
$879$	−16.4396			−0.554493
$880$	46.2529	+	0.774821i	1.55919	+	0.0261192i
$881$	−1.63666	−	2.83478i	−0.0551405	−	0.0955062i	0.837138	−	0.546992i	$-0.184227\pi$
$881$	−1.63666	−	2.83478i	−0.0551405	−	0.0955062i	−0.892278	+	0.451486i	$0.850894\pi$
$882$	−1.72390	−	9.03367i	−0.0580468	−	0.304179i
$883$	32.1245	−	32.1245i	1.08108	−	1.08108i	0.0846666	−	0.996409i	$-0.473017\pi$
$883$	32.1245	−	32.1245i	1.08108	−	1.08108i	0.996409	−	0.0846666i	$-0.0269825\pi$
$884$	0.281516	+	10.0262i	0.00946841	+	0.337219i
$885$	−0.163072	−	0.0910459i	−0.00548161	−	0.00306047i
$886$	35.3475	+	24.0186i	1.18752	+	0.806921i
$887$	−10.4109	+	38.8540i	−0.349564	+	1.30459i	0.537626	+	0.843184i	$0.319321\pi$
$887$	−10.4109	+	38.8540i	−0.349564	+	1.30459i	−0.887189	+	0.461405i	$0.847345\pi$
$888$	−1.07468	−	25.5163i	−0.0360638	−	0.856271i
$889$			1.02200i			0.0342767i
$890$	−12.2669	+	18.6239i	−0.411186	+	0.624273i
$891$	23.9349	+	13.8188i	0.801848	+	0.462947i
$892$	−31.0801	+	3.60039i	−1.04064	+	0.120550i
$893$	14.8990	−	3.99218i	0.498577	−	0.133593i
$894$	5.88762	−	8.66463i	0.196911	−	0.289789i
$895$	−4.87830	+	5.02078i	−0.163064	+	0.167826i
$896$	−1.10789	+	0.0121309i	−0.0370118	+	0.000405266i
$897$	8.39420	+	18.0010i	0.280274	+	0.601036i
$898$	−0.0751918	+	0.215969i	−0.00250918	+	0.00720698i
$899$	28.1069	+	48.6825i	0.937417	+	1.62365i
$900$	−8.54687	+	3.67329i	−0.284896	+	0.122443i
$901$	−5.23761	+	9.07181i	−0.174490	+	0.302226i
$902$	28.0765	−	80.6424i	0.934845	−	2.68510i
$903$	−0.204814	−	0.764377i	−0.00681579	−	0.0254369i
$904$	9.87970	+	9.08113i	0.328594	+	0.302034i
$905$	8.72474	+	30.7820i	0.290020	+	1.02323i
$906$	−17.8459	−	1.30930i	−0.592890	−	0.0434985i
$907$	0.155740	−	0.581228i	0.00517125	−	0.0192994i	−0.963292	−	0.268456i	$-0.913487\pi$
$907$	0.155740	−	0.581228i	0.00517125	−	0.0192994i	0.968463	+	0.249156i	$0.0801533\pi$
$908$	11.9273	−	8.86055i	0.395823	−	0.294048i
$909$		−	10.6269i		−	0.352472i
$910$	1.10911	−	0.128899i	0.0367666	−	0.00427295i
$911$		−	12.9813i		−	0.430088i	−0.976604	−	0.215044i	$-0.931010\pi$
$911$		−	12.9813i		−	0.430088i	0.976604	−	0.215044i	$-0.0689896\pi$
$912$	0.936039	−	30.0462i	0.0309953	−	0.994930i
$913$	−3.27887	+	12.2369i	−0.108515	+	0.404983i
$914$	2.63257	−	35.8823i	0.0870778	−	1.18688i
$915$	−23.8217	−	13.3000i	−0.787521	−	0.439686i
$916$	6.72294	+	16.9734i	0.222132	+	0.560818i
$917$	−0.0247496	−	0.0923669i	−0.000817305	−	0.00305022i
$918$	−10.5041	−	3.65710i	−0.346685	−	0.120702i
$919$	7.36111	−	12.7498i	0.242821	−	0.420578i	−0.718696	−	0.695324i	$-0.755261\pi$
$919$	7.36111	−	12.7498i	0.242821	−	0.420578i	0.961517	+	0.274747i	$0.0885940\pi$
$920$	−20.2557	+	13.2734i	−0.667812	+	0.437610i
$921$	−5.50784	−	9.53987i	−0.181490	−	0.314349i
$922$	−1.02627	−	0.357308i	−0.0337985	−	0.0117673i
$923$	3.81196	+	8.17458i	0.125472	+	0.269069i
$924$	0.905059	−	1.14222i	0.0297743	−	0.0375763i
$925$	−30.0657	+	8.99117i	−0.988555	+	0.295628i
$926$	−11.8366	−	8.04298i	−0.388976	−	0.264309i
$927$	8.14112	−	2.18141i	0.267389	−	0.0716468i
$928$	32.4879	+	3.40342i	1.06647	+	0.111723i
$929$	−19.8689	−	11.4713i	−0.651878	−	0.376362i	0.137298	−	0.990530i	$-0.456158\pi$
$929$	−19.8689	−	11.4713i	−0.651878	−	0.376362i	−0.789175	+	0.614168i	$0.789492\pi$
$930$	−8.92687	−	43.3785i	−0.292724	−	1.42244i
$931$		−	36.5163i		−	1.19677i
$932$	23.7585	+	10.2774i	0.778235	+	0.336646i
$933$	11.2519	−	41.9927i	0.368371	−	1.37478i
$934$	20.7820	−	30.5843i	0.680009	−	1.00075i
$935$	7.84165	−	14.0452i	0.256450	−	0.459326i
$936$	5.10963	−	7.99346i	0.167013	−	0.261274i
$937$	36.3657	−	36.3657i	1.18802	−	1.18802i	0.210401	−	0.977615i	$-0.432523\pi$
$937$	36.3657	−	36.3657i	1.18802	−	1.18802i	0.977615	−	0.210401i	$-0.0674771\pi$
$938$	0.594602	−	0.113468i	0.0194145	−	0.00370488i
$939$	−13.1290	−	22.7400i	−0.428448	−	0.742093i
$940$	1.73905	−	13.0902i	0.0567216	−	0.426954i
$941$	−34.8355			−1.13561			−0.567803	−	0.823165i	$-0.692206\pi$
$941$	−34.8355			−1.13561			−0.567803	+	0.823165i	$0.692206\pi$
$942$	−15.4575	−	17.9052i	−0.503633	−	0.583384i
$943$	11.5699	+	43.1795i	0.376768	+	1.40612i
$944$	0.0530917	+	0.226080i	0.00172799	+	0.00735828i
$945$	−0.303216	+	1.20047i	−0.00986360	+	0.0390512i
$946$	23.0898	−	33.9805i	0.750713	−	1.10480i
$947$	15.2639	−	56.9657i	0.496011	−	1.85114i	−0.0282826	−	0.999600i	$-0.509004\pi$
$947$	15.2639	−	56.9657i	0.496011	−	1.85114i	0.524293	−	0.851538i	$-0.324330\pi$
$948$	−6.20643	+	0.718966i	−0.201576	+	0.0233509i
$949$	−2.61501	−	14.8297i	−0.0848867	−	0.481391i
$950$	−36.0686	+	7.96533i	−1.17022	+	0.258429i
$951$	6.13603	−	3.54264i	0.198975	−	0.114878i
$952$	−0.178425	+	0.341466i	−0.00578280	+	0.0110670i
$953$	−44.4428	+	11.9084i	−1.43964	+	0.385751i	−0.892409	−	0.451228i	$-0.850986\pi$
$953$	−44.4428	+	11.9084i	−1.43964	+	0.385751i	−0.547235	+	0.836979i	$0.684320\pi$
$954$	8.92003	−	4.31286i	0.288797	−	0.139634i
$955$	0.557871	−	2.20868i	0.0180523	−	0.0714712i
$956$	−56.3403	+	22.3156i	−1.82218	+	0.721738i
$957$	−30.3817	+	30.3817i	−0.982102	+	0.982102i
$958$	−11.2060	+	9.67406i	−0.362048	+	0.312555i
$959$	−0.590870	−	1.02342i	−0.0190802	−	0.0330479i
$960$	−23.4457	−	10.6117i	−0.756707	−	0.342492i
$961$	−63.7658			−2.05696
$962$	20.2248	−	24.8020i	0.652074	−	0.799648i
$963$	−3.86468	+	3.86468i	−0.124538	+	0.124538i
$964$	−8.75107	+	59.3181i	−0.281853	+	1.91051i
$965$	−24.9376	+	0.358951i	−0.802771	+	0.0115551i
$966$	−0.0558234	+	0.760880i	−0.00179609	+	0.0244809i
$967$	−22.6425	−	22.6425i	−0.728132	−	0.728132i	0.242115	−	0.970247i	$-0.422159\pi$
$967$	−22.6425	−	22.6425i	−0.728132	−	0.728132i	−0.970247	+	0.242115i	$0.922159\pi$
$968$	44.5059	−	1.87447i	1.43047	−	0.0602477i
$969$	−9.05271	−	5.22658i	−0.290815	−	0.167902i
$970$	−20.6887	−	23.2788i	−0.664273	−	0.747438i
$971$	8.49238	+	4.90308i	0.272533	+	0.157347i	0.630038	−	0.776564i	$-0.283039\pi$
$971$	8.49238	+	4.90308i	0.272533	+	0.157347i	−0.357505	+	0.933911i	$0.616372\pi$
$972$	11.0622	+	14.8910i	0.354819	+	0.477628i
$973$	−0.0462504	+	0.172609i	−0.00148272	+	0.00553359i
$974$	−21.0934	−	43.6263i	−0.675877	−	1.39788i
$975$	24.6168	+	8.16517i	0.788370	+	0.261495i
$976$	7.75567	+	33.0260i	0.248253	+	1.05713i
$977$	1.63943	+	0.439283i	0.0524499	+	0.0140539i	0.284949	−	0.958543i	$-0.408023\pi$
$977$	1.63943	+	0.439283i	0.0524499	+	0.0140539i	−0.232499	+	0.972597i	$0.574690\pi$
$978$	40.2480	−	7.68056i	1.28699	−	0.245597i
$979$	−18.2366	+	31.5868i	−0.582845	+	1.00952i
$980$	−28.8683	−	11.9975i	−0.922163	−	0.383246i
$981$	−1.91612	+	3.31882i	−0.0611771	+	0.105962i
$982$	−29.2104	−	33.8359i	−0.932140	−	1.07975i
$983$	20.8728	−	20.8728i	0.665738	−	0.665738i	−0.290988	−	0.956727i	$-0.593984\pi$
$983$	20.8728	−	20.8728i	0.665738	−	0.665738i	0.956727	+	0.290988i	$0.0939841\pi$
$984$	−32.1478	+	34.9748i	−1.02483	+	1.11496i
$985$	0.0453745	+	3.15233i	0.00144575	+	0.100442i
$986$	6.38405	−	9.39522i	0.203310	−	0.299205i
$987$	−0.294162	−	0.294162i	−0.00936327	−	0.00936327i
$988$	25.8781	−	27.3732i	0.823291	−	0.870859i
$989$			21.5074i			0.683895i
$990$	−13.6011	+	6.81938i	−0.432270	+	0.216734i
$991$	39.0082	−	22.5214i	1.23914	−	0.715416i	0.270219	−	0.962799i	$-0.412904\pi$
$991$	39.0082	−	22.5214i	1.23914	−	0.715416i	0.968918	+	0.247383i	$0.0795706\pi$
$992$	−32.3531	+	44.5621i	−1.02721	+	1.41485i
$993$	−1.72644	−	1.72644i	−0.0547869	−	0.0547869i
$994$	−0.0253504	+	0.345529i	−0.000804066	+	0.0109595i
$995$	44.1523	+	11.1520i	1.39972	+	0.353543i
$996$	4.37703	−	5.52398i	0.138692	−	0.175034i
$997$	−4.31338	−	16.0978i	−0.136606	−	0.509822i	−0.999986	−	0.00526707i	$-0.998323\pi$
$997$	−4.31338	−	16.0978i	−0.136606	−	0.509822i	0.863380	−	0.504554i	$-0.168343\pi$
$998$	7.68968	+	40.2958i	0.243413	+	1.27554i
$999$	17.7440	+	30.7335i	0.561395	+	0.972364i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	260.2.bj.c.3.18	yes	144
4.3	odd	2	inner	260.2.bj.c.3.12	✓	144
5.2	odd	4	inner	260.2.bj.c.107.35	yes	144
13.9	even	3	inner	260.2.bj.c.243.9	yes	144
20.7	even	4	inner	260.2.bj.c.107.9	yes	144
52.35	odd	6	inner	260.2.bj.c.243.35	yes	144
65.22	odd	12	inner	260.2.bj.c.87.12	yes	144
260.87	even	12	inner	260.2.bj.c.87.18	yes	144

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
260.2.bj.c.3.12	✓	144	4.3	odd	2	inner
260.2.bj.c.3.18	yes	144	1.1	even	1	trivial
260.2.bj.c.87.12	yes	144	65.22	odd	12	inner
260.2.bj.c.87.18	yes	144	260.87	even	12	inner
260.2.bj.c.107.9	yes	144	20.7	even	4	inner
260.2.bj.c.107.35	yes	144	5.2	odd	4	inner
260.2.bj.c.243.9	yes	144	13.9	even	3	inner
260.2.bj.c.243.35	yes	144	52.35	odd	6	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:	\( N \)	\(=\)	\( 260 = 2^{2} \cdot 5 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	260.bj (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.265092 - 1.38915i) q^{2} +(-1.38963 - 0.372351i) q^{3} +(-1.85945 + 0.736503i) q^{4} +(-0.609763 - 2.15132i) q^{5} +(-0.148869 + 2.02911i) q^{6} +(-0.0945931 + 0.0253462i) q^{7} +(1.51604 + 2.38781i) q^{8} +(-0.805646 - 0.465140i) q^{9} +O(q^{10})\)	\(q+(-0.265092 - 1.38915i) q^{2} +(-1.38963 - 0.372351i) q^{3} +(-1.85945 + 0.736503i) q^{4} +(-0.609763 - 2.15132i) q^{5} +(-0.148869 + 2.02911i) q^{6} +(-0.0945931 + 0.0253462i) q^{7} +(1.51604 + 2.38781i) q^{8} +(-0.805646 - 0.465140i) q^{9} +(-2.82686 + 1.41735i) q^{10} +(-4.47905 + 2.58598i) q^{11} +(2.85819 - 0.331099i) q^{12} +(2.95351 + 2.06803i) q^{13} +(0.0602854 + 0.124685i) q^{14} +(0.0462995 + 3.21659i) q^{15} +(2.91513 - 2.73898i) q^{16} +(-0.360001 - 1.34354i) q^{17} +(-0.432577 + 1.24246i) q^{18} +(-2.61189 + 4.52392i) q^{19} +(2.71828 + 3.55119i) q^{20} +0.140887 q^{21} +(4.77966 + 5.53653i) q^{22} +(-3.69862 - 0.991041i) q^{23} +(-1.21763 - 3.88267i) q^{24} +(-4.25638 + 2.62359i) q^{25} +(2.08985 - 4.65108i) q^{26} +(3.99820 + 3.99820i) q^{27} +(0.157224 - 0.116798i) q^{28} +(-5.00089 + 2.88727i) q^{29} +(4.45604 - 0.917009i) q^{30} -9.73477i q^{31} +(-4.57762 - 3.32346i) q^{32} +(7.18712 - 1.92578i) q^{33} +(-1.77094 + 0.856256i) q^{34} +(0.112207 + 0.188045i) q^{35} +(1.84064 + 0.271545i) q^{36} +(6.06241 + 1.62442i) q^{37} +(6.97678 + 2.42904i) q^{38} +(-3.33426 - 3.97355i) q^{39} +(4.21253 - 4.71748i) q^{40} +(-5.83725 - 10.1104i) q^{41} +(-0.0373481 - 0.195713i) q^{42} +(-1.45375 - 5.42545i) q^{43} +(6.42400 - 8.10734i) q^{44} +(-0.509413 + 2.01683i) q^{45} +(-0.396228 + 5.40063i) q^{46} +(-2.08792 - 2.08792i) q^{47} +(-5.07081 + 2.72073i) q^{48} +(-6.05387 + 3.49520i) q^{49} +(4.77289 + 5.21724i) q^{50} +2.00107i q^{51} +(-7.01503 - 1.67014i) q^{52} +(-5.32526 - 5.32526i) q^{53} +(4.49419 - 6.61397i) q^{54} +(8.29443 + 8.05904i) q^{55} +(-0.203928 - 0.187445i) q^{56} +(5.31405 - 5.31405i) q^{57} +(5.33653 + 6.18158i) q^{58} +(-0.0290288 + 0.0502794i) q^{59} +(-2.45512 - 5.94700i) q^{60} +(-4.24055 + 7.34484i) q^{61} +(-13.5230 + 2.58061i) q^{62} +(0.0879981 + 0.0235790i) q^{63} +(-3.40327 + 7.24001i) q^{64} +(2.64806 - 7.61497i) q^{65} +(-4.58044 - 9.47344i) q^{66} +(1.13125 - 4.22189i) q^{67} +(1.65893 + 2.23311i) q^{68} +(4.77070 + 2.75436i) q^{69} +(0.231477 - 0.205721i) q^{70} +(2.16646 + 1.25081i) q^{71} +(-0.110722 - 2.62890i) q^{72} +(-2.95321 - 2.95321i) q^{73} +(0.649458 - 8.85220i) q^{74} +(6.89169 - 2.06096i) q^{75} +(1.52480 - 10.3357i) q^{76} +(0.358142 - 0.358142i) q^{77} +(-4.63595 + 5.68513i) q^{78} -2.17146 q^{79} +(-7.66997 - 4.60125i) q^{80} +(-2.67187 - 4.62781i) q^{81} +(-12.4974 + 10.7890i) q^{82} +(1.73204 - 1.73204i) q^{83} +(-0.261973 + 0.103764i) q^{84} +(-2.67088 + 1.59372i) q^{85} +(-7.15137 + 3.45771i) q^{86} +(8.02447 - 2.15015i) q^{87} +(-12.9652 - 6.77468i) q^{88} +(6.10731 - 3.52606i) q^{89} +(2.93671 + 0.173004i) q^{90} +(-0.331799 - 0.120761i) q^{91} +(7.60730 - 0.881246i) q^{92} +(-3.62475 + 13.5277i) q^{93} +(-2.34694 + 3.45392i) q^{94} +(11.3251 + 2.86049i) q^{95} +(5.12372 + 6.32286i) q^{96} +(2.54897 + 9.51290i) q^{97} +(6.46018 + 7.48316i) q^{98} +4.81137 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 144 q - 6 q^{2} - 24 q^{5} - 4 q^{6} - 24 q^{8}+O(q^{10}) \) 144 * q - 6 * q^2 - 24 * q^5 - 4 * q^6 - 24 * q^8	\( 144 q - 6 q^{2} - 24 q^{5} - 4 q^{6} - 24 q^{8} - 16 q^{10} + 20 q^{12} - 12 q^{13} - 28 q^{16} - 4 q^{18} + 30 q^{20} - 32 q^{21} - 28 q^{22} - 24 q^{25} - 12 q^{26} + 14 q^{28} - 4 q^{30} + 4 q^{32} - 28 q^{33} + 4 q^{36} + 20 q^{40} + 24 q^{41} - 56 q^{42} - 4 q^{46} + 12 q^{48} + 20 q^{50} - 2 q^{52} + 24 q^{53} - 20 q^{56} - 24 q^{57} - 42 q^{58} + 88 q^{60} - 32 q^{61} - 128 q^{66} - 32 q^{68} + 108 q^{70} + 2 q^{72} - 8 q^{73} + 60 q^{76} - 72 q^{77} - 120 q^{78} - 64 q^{80} - 32 q^{81} - 42 q^{82} - 48 q^{85} - 24 q^{86} - 42 q^{88} - 56 q^{90} - 84 q^{92} + 8 q^{93} + 160 q^{96} + 68 q^{97} + 98 q^{98}+O(q^{100}) \) 144 * q - 6 * q^2 - 24 * q^5 - 4 * q^6 - 24 * q^8 - 16 * q^10 + 20 * q^12 - 12 * q^13 - 28 * q^16 - 4 * q^18 + 30 * q^20 - 32 * q^21 - 28 * q^22 - 24 * q^25 - 12 * q^26 + 14 * q^28 - 4 * q^30 + 4 * q^32 - 28 * q^33 + 4 * q^36 + 20 * q^40 + 24 * q^41 - 56 * q^42 - 4 * q^46 + 12 * q^48 + 20 * q^50 - 2 * q^52 + 24 * q^53 - 20 * q^56 - 24 * q^57 - 42 * q^58 + 88 * q^60 - 32 * q^61 - 128 * q^66 - 32 * q^68 + 108 * q^70 + 2 * q^72 - 8 * q^73 + 60 * q^76 - 72 * q^77 - 120 * q^78 - 64 * q^80 - 32 * q^81 - 42 * q^82 - 48 * q^85 - 24 * q^86 - 42 * q^88 - 56 * q^90 - 84 * q^92 + 8 * q^93 + 160 * q^96 + 68 * q^97 + 98 * q^98

Introduction

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