LMFDB - Embedded newform 260.2.bj.c.3.12

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			3.12
Character	$\chi$	$=$	260.3
Dual form			260.2.bj.c.87.12

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.924149 + 1.07049i) q^{2} +(1.38963 + 0.372351i) q^{3} +(-0.291896 - 1.97858i) q^{4} +(-0.609763 - 2.15132i) q^{5} +(-1.68282 + 1.14348i) q^{6} +(0.0945931 - 0.0253462i) q^{7} +(2.38781 + 1.51604i) q^{8} +(-0.805646 - 0.465140i) q^{9} +O(q^{10})$	\(q+(-0.924149 + 1.07049i) q^{2} +(1.38963 + 0.372351i) q^{3} +(-0.291896 - 1.97858i) q^{4} +(-0.609763 - 2.15132i) q^{5} +(-1.68282 + 1.14348i) q^{6} +(0.0945931 - 0.0253462i) q^{7} +(2.38781 + 1.51604i) q^{8} +(-0.805646 - 0.465140i) q^{9} +(2.86648 + 1.33540i) q^{10} +(4.47905 - 2.58598i) q^{11} +(0.331099 - 2.85819i) q^{12} +(2.95351 + 2.06803i) q^{13} +(-0.0602854 + 0.124685i) q^{14} +(-0.0462995 - 3.21659i) q^{15} +(-3.82959 + 1.15508i) q^{16} +(-0.360001 - 1.34354i) q^{17} +(1.24246 - 0.432577i) q^{18} +(2.61189 - 4.52392i) q^{19} +(-4.07859 + 1.83443i) q^{20} +0.140887 q^{21} +(-1.37104 + 7.18460i) q^{22} +(3.69862 + 0.991041i) q^{23} +(2.75368 + 2.99583i) q^{24} +(-4.25638 + 2.62359i) q^{25} +(-4.94329 + 1.25053i) q^{26} +(-3.99820 - 3.99820i) q^{27} +(-0.0777609 - 0.179762i) q^{28} +(-5.00089 + 2.88727i) q^{29} +(3.48612 + 2.92305i) q^{30} +9.73477i q^{31} +(2.30261 - 5.16701i) q^{32} +(7.18712 - 1.92578i) q^{33} +(1.77094 + 0.856256i) q^{34} +(-0.112207 - 0.188045i) q^{35} +(-0.685154 + 1.72981i) q^{36} +(6.06241 + 1.62442i) q^{37} +(2.42904 + 6.97678i) q^{38} +(3.33426 + 3.97355i) q^{39} +(1.80548 - 6.06137i) q^{40} +(-5.83725 - 10.1104i) q^{41} +(-0.130201 + 0.150818i) q^{42} +(1.45375 + 5.42545i) q^{43} +(-6.42400 - 8.10734i) q^{44} +(-0.509413 + 2.01683i) q^{45} +(-4.47897 + 3.04346i) q^{46} +(2.08792 + 2.08792i) q^{47} +(-5.75182 + 0.179188i) q^{48} +(-6.05387 + 3.49520i) q^{49} +(1.12500 - 6.98100i) q^{50} -2.00107i q^{51} +(3.22966 - 6.44743i) q^{52} +(-5.32526 - 5.32526i) q^{53} +(7.97496 - 0.585098i) q^{54} +(-8.29443 - 8.05904i) q^{55} +(0.264296 + 0.0828847i) q^{56} +(5.31405 - 5.31405i) q^{57} +(1.53078 - 8.02167i) q^{58} +(0.0290288 - 0.0502794i) q^{59} +(-6.35078 + 1.03052i) q^{60} +(-4.24055 + 7.34484i) q^{61} +(-10.4210 - 8.99638i) 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} +(-2.55323 + 1.10447i) q^{68} +(4.77070 + 2.75436i) q^{69} +(0.304997 + 0.0536652i) q^{70} +(-2.16646 - 1.25081i) q^{71} +(-1.21856 - 2.33205i) q^{72} +(-2.95321 - 2.95321i) q^{73} +(-7.34150 + 4.98855i) q^{74} +(-6.89169 + 2.06096i) q^{75} +(-9.71337 - 3.84733i) q^{76} +(0.358142 - 0.358142i) q^{77} +(-7.33499 - 0.102857i) q^{78} +2.17146 q^{79} +(4.82010 + 7.53436i) q^{80} +(-2.67187 - 4.62781i) q^{81} +(16.2176 + 3.09481i) q^{82} +(-1.73204 + 1.73204i) q^{83} +(-0.0411245 - 0.278757i) q^{84} +(-2.67088 + 1.59372i) q^{85} +(-7.15137 - 3.45771i) q^{86} +(-8.02447 + 2.15015i) q^{87} +(14.6155 + 0.615567i) q^{88} +(6.10731 - 3.52606i) q^{89} +(-1.68822 - 2.40917i) q^{90} +(0.331799 + 0.120761i) q^{91} +(0.881246 - 7.60730i) q^{92} +(-3.62475 + 13.5277i) q^{93} +(-4.16465 + 0.305548i) q^{94} +(-11.3251 - 2.86049i) q^{95} +(5.12372 - 6.32286i) q^{96} +(2.54897 + 9.51290i) q^{97} +(1.85310 - 9.71070i) 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 $

$2$	−0.924149	+	1.07049i	−0.653472	+	0.756951i
$2$	−0.924149	+	1.07049i	−0.653472	+	0.756951i
$3$	1.38963	+	0.372351i	0.802304	+	0.214977i	0.636595	−	0.771198i	$-0.280342\pi$
$3$	1.38963	+	0.372351i	0.802304	+	0.214977i	0.165709	+	0.986175i	$0.447009\pi$
$4$	−0.291896	−	1.97858i	−0.145948	−	0.989292i
$5$	−0.609763	−	2.15132i	−0.272694	−	0.962101i
$5$	−0.609763	−	2.15132i	−0.272694	−	0.962101i
$6$	−1.68282	+	1.14348i	−0.687010	+	0.466823i
$7$	0.0945931	−	0.0253462i	0.0357528	−	0.00957994i	−0.240898	−	0.970550i	$-0.577442\pi$
$7$	0.0945931	−	0.0253462i	0.0357528	−	0.00957994i	0.276651	+	0.960970i	$0.410775\pi$
$8$	2.38781	+	1.51604i	0.844218	+	0.535999i
$9$	−0.805646	−	0.465140i	−0.268549	−	0.155047i
$10$	2.86648	+	1.33540i	0.906461	+	0.422290i
$11$	4.47905	−	2.58598i	1.35048	−	0.779702i	0.362166	−	0.932113i	$-0.382037\pi$
$11$	4.47905	−	2.58598i	1.35048	−	0.779702i	0.988317	+	0.152411i	$0.0487039\pi$
$12$	0.331099	−	2.85819i	0.0955800	−	0.825089i
$13$	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
$16$	−3.82959	+	1.15508i	−0.957398	+	0.288771i
$17$	−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	$0.970616\pi$
$18$	1.24246	−	0.432577i	0.292852	−	0.101959i
$19$	2.61189	−	4.52392i	0.599208	−	1.03786i	−0.393730	−	0.919226i	$-0.628815\pi$
$19$	2.61189	−	4.52392i	0.599208	−	1.03786i	0.992938	−	0.118633i	$-0.0378512\pi$
$20$	−4.07859	+	1.83443i	−0.912000	+	0.410191i
$21$	0.140887			0.0307441
$22$	−1.37104	+	7.18460i	−0.292308	+	1.53176i
$23$	3.69862	+	0.991041i	0.771215	+	0.206646i	0.622908	−	0.782295i	$-0.285951\pi$
$23$	3.69862	+	0.991041i	0.771215	+	0.206646i	0.148307	+	0.988941i	$0.452618\pi$
$24$	2.75368	+	2.99583i	0.562092	+	0.611522i
$25$	−4.25638	+	2.62359i	−0.851276	+	0.524719i
$26$	−4.94329	+	1.25053i	−0.969460	+	0.245250i
$27$	−3.99820	−	3.99820i	−0.769454	−	0.769454i
$28$	−0.0777609	−	0.179762i	−0.0146954	−	0.0339718i
$29$	−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	$0.513456\pi$
$30$	3.48612	+	2.92305i	0.636475	+	0.533673i
$31$			9.73477i			1.74842i	0.485551	+	0.874208i	$0.338619\pi$
$31$			9.73477i			1.74842i	−0.485551	+	0.874208i	$0.661381\pi$
$32$	2.30261	−	5.16701i	0.407048	−	0.913407i
$33$	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
$36$	−0.685154	+	1.72981i	−0.114192	+	0.288302i
$37$	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	$0.410789\pi$
$38$	2.42904	+	6.97678i	0.394042	+	1.13178i
$39$	3.33426	+	3.97355i	0.533909	+	0.636277i
$40$	1.80548	−	6.06137i	0.285472	−	0.958387i
$41$	−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	$-0.531838\pi$
$42$	−0.130201	+	0.150818i	−0.0200904	+	0.0232718i
$43$	1.45375	+	5.42545i	0.221694	+	0.827374i	0.983702	+	0.179806i	$0.0575470\pi$
$43$	1.45375	+	5.42545i	0.221694	+	0.827374i	−0.762008	+	0.647568i	$0.775786\pi$
$44$	−6.42400	−	8.10734i	−0.968454	−	1.22223i
$45$	−0.509413	+	2.01683i	−0.0759388	+	0.300651i
$46$	−4.47897	+	3.04346i	−0.660388	+	0.448734i
$47$	2.08792	+	2.08792i	0.304555	+	0.304555i	0.842793	−	0.538238i	$-0.180910\pi$
$47$	2.08792	+	2.08792i	0.304555	+	0.304555i	−0.538238	+	0.842793i	$0.680910\pi$
$48$	−5.75182	+	0.179188i	−0.830203	+	0.0258636i
$49$	−6.05387	+	3.49520i	−0.864839	+	0.499315i
$50$	1.12500	−	6.98100i	0.159099	−	0.987263i
$51$		−	2.00107i		−	0.280206i
$52$	3.22966	−	6.44743i	0.447873	−	0.894097i
$53$	−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	$0.923039\pi$
$54$	7.97496	−	0.585098i	1.08525	−	0.0796217i
$55$	−8.29443	−	8.05904i	−1.11842	−	1.08668i
$56$	0.264296	+	0.0828847i	0.0353180	+	0.0110759i
$57$	5.31405	−	5.31405i	0.703863	−	0.703863i
$58$	1.53078	−	8.02167i	0.201001	−	1.05330i
$59$	0.0290288	−	0.0502794i	0.00377923	−	0.00654582i	−0.864130	−	0.503269i	$-0.832130\pi$
$59$	0.0290288	−	0.0502794i	0.00377923	−	0.00654582i	0.867909	+	0.496724i	$0.165464\pi$
$60$	−6.35078	+	1.03052i	−0.819882	+	0.133039i
$61$	−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	$0.983975\pi$
$62$	−10.4210	−	8.99638i	−1.32346	−	1.14254i
$63$	−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	$0.169363\pi$
$67$	−1.13125	+	4.22189i	−0.138204	+	0.515786i	−0.999964	+	0.00846922i	$0.997304\pi$
$68$	−2.55323	+	1.10447i	−0.309624	+	0.133936i
$69$	4.77070	+	2.75436i	0.574324	+	0.331586i
$70$	0.304997	+	0.0536652i	0.0364541	+	0.00641422i
$71$	−2.16646	−	1.25081i	−0.257111	−	0.148443i	0.365905	−	0.930652i	$-0.380760\pi$
$71$	−2.16646	−	1.25081i	−0.257111	−	0.148443i	−0.623016	+	0.782209i	$0.714093\pi$
$72$	−1.21856	−	2.33205i	−0.143609	−	0.274835i
$73$	−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	$0.828594\pi$
$74$	−7.34150	+	4.98855i	−0.853432	+	0.579907i
$75$	−6.89169	+	2.06096i	−0.795784	+	0.237980i
$76$	−9.71337	−	3.84733i	−1.11420	−	0.441319i
$77$	0.358142	−	0.358142i	0.0408141	−	0.0408141i
$78$	−7.33499	−	0.102857i	−0.830525	−	0.0116462i
$79$	2.17146			0.244308			0.122154	−	0.992511i	$-0.461020\pi$
$79$	2.17146			0.244308			0.122154	+	0.992511i	$0.461020\pi$
$80$	4.82010	+	7.53436i	0.538904	+	0.842367i
$81$	−2.67187	−	4.62781i	−0.296874	−	0.514202i
$82$	16.2176	+	3.09481i	1.79093	+	0.341765i
$83$	−1.73204	+	1.73204i	−0.190116	+	0.190116i	−0.795746	−	0.605630i	$-0.792921\pi$
$83$	−1.73204	+	1.73204i	−0.190116	+	0.190116i	0.605630	+	0.795746i	$0.292921\pi$
$84$	−0.0411245	−	0.278757i	−0.00448705	−	0.0304149i
$85$	−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
$88$	14.6155	+	0.615567i	1.55802	+	0.0656197i
$89$	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	$0.211401\pi$
$90$	−1.68822	−	2.40917i	−0.177954	−	0.253949i
$91$	0.331799	+	0.120761i	0.0347820	+	0.0126592i
$92$	0.881246	−	7.60730i	0.0918763	−	0.793116i
$93$	−3.62475	+	13.5277i	−0.375869	+	1.40276i
$94$	−4.16465	+	0.305548i	−0.429551	+	0.0315148i
$95$	−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	$0.750007\pi$
$98$	1.85310	−	9.71070i	0.187191	−	0.980929i
$99$	−4.81137			−0.483561
$100$	6.43342	+	7.65579i	0.643342	+	0.765579i
$101$	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	$0.640922\pi$
$102$	2.14213	+	1.84929i	0.212102	+	0.183107i
$103$	6.40636	−	6.40636i	0.631238	−	0.631238i	−0.317141	−	0.948378i	$-0.602723\pi$
$103$	6.40636	−	6.40636i	0.631238	−	0.631238i	0.948378	+	0.317141i	$0.102723\pi$
$104$	3.91722	+	9.41570i	0.384115	+	0.923285i
$105$	−0.0859078	−	0.303094i	−0.00838374	−	0.0295789i
$106$	10.6220	−	0.779301i	1.03170	−	0.0756924i
$107$	−1.52059	+	5.67491i	−0.147001	+	0.548614i	0.852657	+	0.522470i	$0.174989\pi$
$107$	−1.52059	+	5.67491i	−0.147001	+	0.548614i	−0.999658	+	0.0261439i	$0.991677\pi$
$108$	−6.74371	+	9.07783i	−0.648914	+	0.873515i
$109$		−	4.11945i		−	0.394572i	−0.980346	−	0.197286i	$-0.936787\pi$
$109$		−	4.11945i		−	0.394572i	0.980346	−	0.197286i	$-0.0632128\pi$
$110$	16.2924	−	1.43135i	1.55342	−	0.136474i
$111$	7.81967	+	4.51469i	0.742210	+	0.428515i
$112$	−0.332976	+	0.206328i	−0.0314633	+	0.0194962i
$113$	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	$0.345030\pi$
$114$	0.777660	+	10.5996i	0.0728345	+	0.992744i
$115$	−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
$118$	0.0269966	+	0.0775407i	0.00248524	+	0.00713820i
$119$	−0.0681072	−	0.117965i	−0.00624338	−	0.0108138i
$120$	4.76591	−	7.75080i	0.435066	−	0.707548i
$121$	7.87458	−	13.6392i	0.715871	−	1.23992i
$122$	−3.94368	−	11.3272i	−0.357044	−	1.02552i
$123$	−4.34701	−	16.2232i	−0.391956	−	1.46280i
$124$	19.2611	−	2.84154i	1.72970	−	0.255178i
$125$	8.23958	+	7.55707i	0.736970	+	0.675925i
$126$	0.106564	−	0.0724105i	0.00949352	−	0.00645084i
$127$	−2.70103	+	10.0804i	−0.239678	+	0.894490i	0.736306	+	0.676648i	$0.236568\pi$
$127$	−2.70103	+	10.0804i	−0.239678	+	0.894490i	−0.975984	+	0.217841i	$0.930098\pi$
$128$	−10.8955	−	3.04768i	−0.963034	−	0.269379i
$129$			8.08068i			0.711464i
$130$	5.70454	+	9.87209i	0.500321	+	0.865840i
$131$		−	0.976465i		−	0.0853141i	−0.999090	−	0.0426571i	$-0.986418\pi$
$131$		−	0.976465i		−	0.0853141i	0.999090	−	0.0426571i	$-0.0135823\pi$
$132$	−5.90821	−	13.6582i	−0.514244	−	1.18879i
$133$	0.132403	−	0.494133i	0.0114808	−	0.0428468i
$134$	−3.47404	−	5.11265i	−0.300112	−	0.441666i
$135$	−6.16346	+	11.0394i	−0.530466	+	0.950117i
$136$	1.17724	−	3.75390i	0.100948	−	0.321894i
$137$	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	$0.744278\pi$
$138$	−7.35735	+	2.56154i	−0.626300	+	0.218053i
$139$	−0.912376	+	1.58028i	−0.0773867	+	0.134038i	−0.902122	−	0.431482i	$-0.857991\pi$
$139$	−0.912376	+	1.58028i	−0.0773867	+	0.134038i	0.824735	+	0.565519i	$0.191324\pi$
$140$	−0.339310	+	0.276901i	−0.0286770	+	0.0234024i
$141$	2.12400	+	3.67888i	0.178873	+	0.309818i
$142$	3.34110	−	1.16324i	0.280379	−	0.0976170i
$143$	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
$146$	5.89058	−	0.432174i	0.487508	−	0.0357669i
$147$	−9.71409	+	2.60288i	−0.801205	+	0.214682i
$148$	1.44445	−	12.4692i	0.118733	−	1.02496i
$149$	−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	$0.734308\pi$
$150$	4.16271	−	9.28212i	0.339884	−	0.757882i
$151$		−	8.79495i		−	0.715723i	−0.933775	−	0.357861i	$-0.883506\pi$
$151$		−	8.79495i		−	0.715723i	0.933775	−	0.357861i	$-0.116494\pi$
$152$	13.0951	−	6.84255i	1.06215	−	0.555004i
$153$	−0.334902	+	1.24987i	−0.0270752	+	0.101046i
$154$	0.0524107	+	0.714365i	0.00422338	+	0.0575652i
$155$	20.9426	−	5.93590i	1.68215	−	0.476783i
$156$	6.88874	−	7.75698i	0.551540	−	0.621056i
$157$	−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	$0.403565\pi$
$158$	−2.00675	+	2.32452i	−0.159648	+	0.184929i
$159$	−5.41728	−	9.38301i	−0.429619	−	0.744121i
$160$	−12.5200	−	1.80301i	−0.989789	−	0.142540i
$161$	0.374983			0.0295528
$162$	7.42323	+	1.41658i	0.583224	+	0.111297i
$163$	5.21239	+	19.4529i	0.408266	+	1.52367i	0.797952	+	0.602721i	$0.205917\pi$
$163$	5.21239	+	19.4529i	0.408266	+	1.52367i	−0.389686	+	0.920948i	$0.627417\pi$
$164$	−18.3004	+	14.5007i	−1.42902	+	1.13231i
$165$	−8.52541	−	14.2875i	−0.663703	−	1.11228i
$166$	−0.253468	−	3.45480i	−0.0196729	−	0.268144i
$167$	−4.72997	+	17.6525i	−0.366016	+	1.36599i	0.500023	+	0.866012i	$0.333325\pi$
$167$	−4.72997	+	17.6525i	−0.366016	+	1.36599i	−0.866039	+	0.499977i	$0.833342\pi$
$168$	0.336412	+	0.213590i	0.0259547	+	0.0164788i
$169$	4.44648	+	12.2159i	0.342037	+	0.939686i
$170$	0.762227	−	4.33198i	0.0584602	−	0.332248i
$171$	−4.20851	+	2.42979i	−0.321833	+	0.185810i
$172$	10.3104	−	4.46003i	0.786159	−	0.340074i
$173$	−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
$176$	−14.1659	+	15.0769i	−1.06780	+	1.13647i
$177$	0.0590609	−	0.0590609i	0.00443929	−	0.00443929i
$178$	−1.86946	+	9.79642i	−0.140122	+	0.734273i
$179$	1.56534	+	2.71126i	0.116999	+	0.202649i	0.918577	−	0.395242i	$-0.129339\pi$
$179$	1.56534	+	2.71126i	0.116999	+	0.202649i	−0.801578	+	0.597890i	$0.796006\pi$
$180$	4.13916	+	0.419212i	0.308515	+	0.0312462i
$181$	−14.3084			−1.06354			−0.531768	−	0.846890i	$-0.678472\pi$
$181$	−14.3084			−1.06354			−0.531768	+	0.846890i	$0.678472\pi$
$182$	−0.435905	+	0.243585i	−0.0323115	+	0.0180558i
$183$	−8.62766	+	8.62766i	−0.637775	+	0.637775i
$184$	7.32914	+	7.97365i	0.540311	+	0.587825i
$185$	−0.201986	−	14.0327i	−0.0148503	−	1.03171i
$186$	−11.1315	−	16.3819i	−0.816201	−	1.20118i
$187$	−5.08683	−	5.08683i	−0.371986	−	0.371986i
$188$	3.52168	−	4.74059i	0.256845	−	0.345743i
$189$	−0.479541	−	0.276863i	−0.0348815	−	0.0201388i
$190$	13.5282	−	9.47983i	0.981436	−	0.687739i
$191$	−0.882283	−	0.509386i	−0.0638398	−	0.0368579i	0.467740	−	0.883866i	$-0.345068\pi$
$191$	−0.882283	−	0.509386i	−0.0638398	−	0.0368579i	−0.531580	+	0.847008i	$0.678402\pi$
$192$	2.03347	+	11.3282i	0.146753	+	0.817539i
$193$	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	$0.599328\pi$
$198$	4.44642	−	5.15052i	0.315993	−	0.366032i
$199$	10.1828	−	17.6372i	0.721841	−	1.25026i	−0.238421	−	0.971162i	$-0.576630\pi$
$199$	10.1828	−	17.6372i	0.721841	−	1.25026i	0.960261	−	0.279103i	$-0.0900369\pi$
$200$	−14.1409	−	0.188177i	−0.999911	−	0.0133061i
$201$	−3.14405	+	5.44565i	−0.221764	+	0.384106i
$202$	−15.8687	−	3.02823i	−1.11652	−	0.213066i
$203$	−0.399869	+	0.399869i	−0.0280653	+	0.0280653i
$204$	−3.95929	+	0.584106i	−0.277206	+	0.0408956i
$205$	−18.1914	+	18.7228i	−1.27054	+	1.30765i
$206$	0.937510	+	12.7784i	0.0653194	+	0.890312i
$207$	−2.51880	−	2.51880i	−0.175069	−	0.175069i
$208$	−13.6995	−	4.50817i	−0.949890	−	0.312585i
$209$		−	27.0172i		−	1.86882i
$210$	0.403850	+	0.188141i	0.0278683	+	0.0129829i
$211$	−1.76597	+	1.01958i	−0.121574	+	0.0701908i	−0.559554	−	0.828794i	$-0.689027\pi$
$211$	−1.76597	+	1.01958i	−0.121574	+	0.0701908i	0.437980	+	0.898985i	$0.355694\pi$
$212$	−8.98205	+	12.0909i	−0.616890	+	0.830406i
$213$	−2.54484	−	2.54484i	−0.174370	−	0.174370i
$214$	−4.66968	−	6.87224i	−0.319213	−	0.469776i
$215$	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
$218$	4.40983	+	3.80699i	0.298671	+	0.257842i
$219$	−3.00424	−	5.20350i	−0.203008	−	0.351620i
$220$	−13.5244	+	18.7636i	−0.911814	+	1.26504i
$221$	1.71522	−	4.71266i	0.115378	−	0.317008i
$222$	−12.0595	+	4.19863i	−0.809378	+	0.281793i
$223$	−15.1109	−	4.04896i	−1.01190	−	0.271139i	−0.285479	−	0.958385i	$-0.592153\pi$
$223$	−15.1109	−	4.04896i	−1.01190	−	0.271139i	−0.726424	+	0.687246i	$0.758819\pi$
$224$	0.0868474	−	0.547126i	0.00580274	−	0.0365564i
$225$	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	−0.0126845	−	0.999920i	$-0.504038\pi$
$227$	7.17603	−	1.92281i	0.476290	−	0.127622i	0.488975	+	0.872298i	$0.337371\pi$
$228$	−12.0654	−	8.96314i	−0.799054	−	0.593599i
$229$		−	9.12820i		−	0.603208i	−0.953433	−	0.301604i	$-0.902478\pi$
$229$		−	9.12820i		−	0.603208i	0.953433	−	0.301604i	$-0.0975221\pi$
$230$	9.27858	+	7.77993i	0.611811	+	0.512993i
$231$	0.631041	−	0.364331i	0.0415194	−	0.0239712i
$232$	−16.3184	−	0.687286i	−1.07135	−	0.0451225i
$233$	−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	$0.889362\pi$
$234$	4.56422	+	1.29184i	0.298372	+	0.0844499i
$235$	3.21866	−	5.76493i	0.209962	−	0.376063i
$236$	−0.107955	−	0.0427596i	−0.00702730	−	0.00278341i
$237$	3.01752	+	0.808543i	0.196009	+	0.0525205i
$238$	0.189222	+	0.0361093i	0.0122654	+	0.00234062i
$239$	−30.2994			−1.95991			−0.979953	−	0.199226i	$-0.936157\pi$
$239$	−30.2994			−1.95991			−0.979953	+	0.199226i	$0.936157\pi$
$240$	3.89274	+	12.2648i	0.251275	+	0.791687i
$241$	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	$-0.249592\pi$
$242$	7.32330	+	21.0343i	0.470760	+	1.35213i
$243$	2.40058	+	8.95909i	0.153997	+	0.574726i
$244$	15.7702	+	6.24635i	1.00958	+	0.399882i
$245$	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
$248$	−14.7583	+	23.2448i	−0.937150	+	1.47605i
$249$	−3.05183	+	1.76197i	−0.193402	+	0.111661i
$250$	−15.7044	+	1.83652i	−0.993231	+	0.116152i
$251$	21.4923	+	12.4086i	1.35658	+	0.783221i	0.989161	−	0.146835i	$-0.0469086\pi$
$251$	21.4923	+	12.4086i	1.35658	+	0.783221i	0.367418	+	0.930056i	$0.380242\pi$
$252$	−0.0209668	+	0.180994i	−0.00132078	+	0.0114016i
$253$	19.1291	−	5.12562i	1.20264	−	0.322245i
$254$	−8.29479	−	12.2072i	−0.520462	−	0.765948i
$255$	−4.30496	+	1.22018i	−0.269587	+	0.0764107i
$256$	13.3316	−	8.84700i	0.833223	−	0.552937i
$257$	−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	$0.594623\pi$
$258$	−8.65029	−	7.46776i	−0.538543	−	0.464922i
$259$	0.614635			0.0381916
$260$	−15.8398	−	3.01663i	−0.982344	−	0.187084i
$261$	5.37193			0.332514
$262$	1.04530	+	0.902399i	0.0645786	+	0.0557504i
$263$	14.1336	+	3.78708i	0.871514	+	0.233522i	0.666742	−	0.745288i	$-0.267688\pi$
$263$	14.1336	+	3.78708i	0.871514	+	0.233522i	0.204772	+	0.978810i	$0.434355\pi$
$264$	20.0810	+	6.29752i	1.23590	+	0.387586i
$265$	−8.20921	+	14.7035i	−0.504288	+	0.903229i
$266$	0.406605	+	0.598389i	0.0249305	+	0.0366896i
$267$	9.79984	−	2.62586i	0.599741	−	0.160700i
$268$	8.68357	+	1.00592i	0.530434	+	0.0614466i
$269$	−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	$0.726507\pi$
$270$	−6.12157	−	16.7999i	−0.372547	−	1.02241i
$271$	27.3492	−	15.7901i	1.66134	−	0.959177i	0.689269	−	0.724505i	$-0.257932\pi$
$271$	27.3492	−	15.7901i	1.66134	−	0.959177i	0.972075	−	0.234672i	$-0.0754017\pi$
$272$	2.93056	+	4.72939i	0.177691	+	0.286761i
$273$	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
$276$	4.05719	−	10.2432i	0.244214	−	0.616569i
$277$	−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	$0.957905\pi$
$278$	−0.848503	−	2.43710i	−0.0508898	−	0.146168i
$279$	4.52803	−	7.84278i	0.271086	−	0.469535i
$280$	0.0171538	−	0.619126i	0.00102514	−	0.0369999i
$281$	−9.42305			−0.562132			−0.281066	−	0.959688i	$-0.590688\pi$
$281$	−9.42305			−0.562132			−0.281066	+	0.959688i	$0.590688\pi$
$282$	−5.90110	−	1.12611i	−0.351406	−	0.0670590i
$283$	−27.1693	−	7.27999i	−1.61505	−	0.432751i	−0.665506	−	0.746393i	$-0.731784\pi$
$283$	−27.1693	−	7.27999i	−1.61505	−	0.432751i	−0.949541	+	0.313642i	$0.898451\pi$
$284$	−1.84244	+	4.65163i	−0.109329	+	0.276023i
$285$	−14.6725	−	8.19192i	−0.869126	−	0.485248i
$286$	−18.9074	+	18.3845i	−1.11802	+	1.08710i
$287$	−0.808424	−	0.808424i	−0.0477197	−	0.0477197i
$288$	−4.25847	+	3.09174i	−0.250933	+	0.182183i
$289$	13.0469	−	7.53265i	0.767466	−	0.443097i
$290$	−18.1906	+	1.59811i	−1.06819	+	0.0938443i
$291$			14.1685i			0.830574i
$292$	−4.98114	+	6.70520i	−0.291499	+	0.392392i
$293$	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
$296$	12.0132	+	13.0696i	0.698254	+	0.759657i
$297$	−28.2474	−	7.56886i	−1.63908	−	0.439190i
$298$	6.87673	−	2.39420i	0.398358	−	0.138693i
$299$	8.87441	+	10.5759i	0.513220	+	0.611621i
$300$	6.08945	+	13.0342i	0.351575	+	0.752530i
$301$	0.275029	+	0.476364i	0.0158524	+	0.0274571i
$302$	9.41490	+	8.12785i	0.541767	+	0.467705i
$303$	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
$306$	−1.02847	−	1.51357i	−0.0587939	−	0.0865253i
$307$	−5.41428	−	5.41428i	−0.309009	−	0.309009i	0.535516	−	0.844525i	$-0.320117\pi$
$307$	−5.41428	−	5.41428i	−0.309009	−	0.309009i	−0.844525	+	0.535516i	$0.820117\pi$
$308$	−0.813156	−	0.604075i	−0.0463338	−	0.0344203i
$309$	11.2879	−	6.51707i	0.642146	−	0.370743i
$310$	−12.9998	+	27.9045i	−0.738339	+	1.58487i
$311$		−	30.2186i		−	1.71354i	−0.515699	−	0.856770i	$-0.672468\pi$
$311$		−	30.2186i		−	1.71354i	0.515699	−	0.856770i	$-0.327532\pi$
$312$	1.93755	+	14.5429i	0.109692	+	0.823331i
$313$	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	$0.577485\pi$
$314$	−1.20307	−	16.3980i	−0.0678932	−	0.925393i
$315$	0.00293190	+	0.203690i	0.000165194	+	0.0114766i
$316$	−0.633840	−	4.29641i	−0.0356563	−	0.241692i
$317$	−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	$0.294166\pi$
$318$	15.0508	+	2.87216i	0.844007	+	0.161063i
$319$	−14.9328	+	25.8644i	−0.836077	+	1.44813i
$320$	13.5004	−	11.7362i	0.754696	−	0.656075i
$321$	−4.22611	+	7.31984i	−0.235879	+	0.408554i
$322$	−0.346540	+	0.401415i	−0.0193119	+	0.0223700i
$323$	−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
$328$	1.38950	−	32.9912i	0.0767224	−	1.82164i
$329$	0.250424	+	0.144582i	0.0138063	+	0.00797108i
$330$	23.1734	+	4.07745i	1.27565	+	0.224456i
$331$	−1.46974	−	0.848557i	−0.0807844	−	0.0466409i	0.459064	−	0.888403i	$-0.348185\pi$
$331$	−1.46974	−	0.848557i	−0.0807844	−	0.0466409i	−0.539848	+	0.841762i	$0.681518\pi$
$332$	3.93257	+	2.92142i	0.215828	+	0.160334i
$333$	−4.12858	−	4.12858i	−0.226245	−	0.226245i
$334$	−14.5256	−	21.3769i	−0.794805	−	1.16969i
$335$	9.77244	−	0.140664i	0.533925	−	0.00768530i
$336$	−0.539541	+	0.162736i	−0.0294344	+	0.00887800i
$337$	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	$-0.0927632\pi$
$338$	−17.1862	−	6.52943i	−0.934808	−	0.355154i
$339$	6.82556			0.370713
$340$	3.93293	+	4.81935i	0.213293	+	0.261366i
$341$	25.1739	+	43.6025i	1.36324	+	2.36121i
$342$	1.28823	−	6.75066i	0.0696597	−	0.365034i
$343$	−0.968793	+	0.968793i	−0.0523099	+	0.0523099i
$344$	−4.75391	+	15.1589i	−0.256314	+	0.817312i
$345$	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	0.198485	−	0.980104i	$-0.436398\pi$
$347$	16.0280	−	4.29470i	0.860430	−	0.230551i	0.661945	+	0.749553i	$0.269731\pi$
$348$	6.59657	+	15.2495i	0.353613	+	0.817458i
$349$	−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	$0.527314\pi$
$350$	−0.0705244	−	0.688869i	−0.00376969	−	0.0368216i
$351$	−3.54033	−	20.0771i	−0.188969	−	1.07164i
$352$	−3.04827	−	29.0978i	−0.162473	−	1.55092i
$353$	−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	$0.118380\pi$
$354$	0.00864299	+	0.117805i	0.000459370	+	0.00626127i
$355$	−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
$358$	−4.34898	−	0.829920i	−0.229851	−	0.0438626i
$359$	19.4786			1.02804			0.514021	−	0.857778i	$-0.328155\pi$
$359$	19.4786			1.02804			0.514021	+	0.857778i	$0.328155\pi$
$360$	−4.27397	+	4.04352i	−0.225258	+	0.213112i
$361$	−4.14392	−	7.17749i	−0.218101	−	0.377762i
$362$	13.2231	−	15.3170i	0.694991	−	0.805044i
$363$	16.0213	−	16.0213i	0.840901	−	0.840901i
$364$	0.142086	−	0.691742i	0.00744733	−	0.0362571i
$365$	−4.55255	+	8.15406i	−0.238291	+	0.426803i
$366$	−1.26257	−	17.2091i	−0.0659958	−	0.899532i
$367$	−4.40058	+	16.4232i	−0.229708	+	0.857283i	0.750755	+	0.660581i	$0.229690\pi$
$367$	−4.40058	+	16.4232i	−0.229708	+	0.857283i	−0.980463	+	0.196702i	$0.936977\pi$
$368$	−15.3089	+	0.476924i	−0.798033	+	0.0248614i
$369$			10.8605i			0.565378i
$370$	15.2085	+	12.7521i	0.790655	+	0.662950i
$371$	−0.638708	−	0.368758i	−0.0331601	−	0.0191450i
$372$	27.8238	+	3.22317i	1.44260	+	0.167114i
$373$	−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	$0.481349\pi$
$374$	10.1464	−	0.744409i	0.524657	−	0.0384925i
$375$	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
$378$	0.739546	−	0.257481i	0.0380382	−	0.0132434i
$379$	−6.15949	−	10.6686i	−0.316392	−	0.548007i	0.663341	−	0.748318i	$-0.269138\pi$
$379$	−6.15949	−	10.6686i	−0.316392	−	0.548007i	−0.979732	+	0.200311i	$0.935805\pi$
$380$	−2.35399	+	23.2425i	−0.120757	+	1.19232i
$381$	−7.50688	+	13.0023i	−0.384589	+	0.666128i
$382$	1.36065	−	0.473726i	0.0696171	−	0.0242379i
$383$	−9.27422	−	34.6119i	−0.473891	−	1.76858i	−0.625585	−	0.780156i	$-0.715140\pi$
$383$	−9.27422	−	34.6119i	−0.473891	−	1.76858i	0.151694	−	0.988427i	$-0.451527\pi$
$384$	−14.0059	−	8.29209i	−0.714736	−	0.423154i
$385$	−0.988862	−	0.552098i	−0.0503971	−	0.0281375i
$386$	8.86518	+	13.0466i	0.451226	+	0.664056i
$387$	1.35239	−	5.04719i	0.0687459	−	0.256563i
$388$	18.0780	−	7.82014i	0.917774	−	0.397008i
$389$			10.7860i			0.546874i	0.961890	+	0.273437i	$0.0881605\pi$
$389$			10.7860i			0.546874i	−0.961890	+	0.273437i	$0.911840\pi$
$390$	4.25133	+	15.8427i	0.215274	+	0.802224i
$391$		−	5.32602i		−	0.269348i
$392$	−19.7544	−	0.832000i	−0.997745	−	0.0420223i
$393$	0.363587	−	1.35693i	0.0183406	−	0.0684479i
$394$	1.64921	−	1.12063i	0.0830858	−	0.0564568i
$395$	−1.32407	−	4.67150i	−0.0666213	−	0.235049i
$396$	1.40442	+	9.51970i	0.0705748	+	0.478383i
$397$	−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	$0.940132\pi$
$398$	9.46995	+	27.2000i	0.474686	+	1.36341i
$399$	0.367982	−	0.637363i	0.0184221	−	0.0319081i
$400$	13.2697	−	14.9638i	0.663486	−	0.748188i
$401$	−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	$0.974155\pi$
$402$	−2.92394	−	8.39826i	−0.145833	−	0.418867i
$403$	−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
$406$	−0.0585170	−	0.797594i	−0.00290415	−	0.0395839i
$407$	31.3546	−	8.40143i	1.55419	−	0.416443i
$408$	3.03370	−	4.77818i	0.150190	−	0.236555i
$409$	−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	$0.970904\pi$
$410$	−3.23093	−	36.7764i	−0.159564	−	1.81625i
$411$			17.3605i			0.856330i
$412$	−14.5455	−	10.8055i	−0.716607	−	0.532351i
$413$	0.00147154	−	0.00549185i	7.24096e−5	−	0.000270236i
$414$	5.02410	−	0.368603i	0.246921	−	0.0181158i
$415$	4.78232	+	2.67005i	0.234755	+	0.131067i
$416$	17.4863	−	10.4990i	0.857338	−	0.514754i
$417$	−1.85628	+	1.85628i	−0.0909026	+	0.0909026i
$418$	28.9216	+	24.9679i	1.41460	+	1.22122i
$419$	1.23923	+	2.14641i	0.0605403	+	0.104859i	0.894707	−	0.446653i	$-0.147384\pi$
$419$	1.23923	+	2.14641i	0.0605403	+	0.104859i	−0.834167	+	0.551512i	$0.814051\pi$
$420$	−0.574621	+	0.258448i	−0.0280386	+	0.0126110i
$421$	17.9803			0.876307			0.438153	−	0.898900i	$-0.355633\pi$
$421$	17.9803			0.876307			0.438153	+	0.898900i	$0.355633\pi$
$422$	0.540565	−	2.83269i	0.0263143	−	0.137893i
$423$	−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
$426$	5.07604	−	0.372413i	0.245935	−	0.0180435i
$427$	−0.214963	+	0.802253i	−0.0104028	+	0.0388238i
$428$	11.6721	+	1.35213i	0.564194	+	0.0653575i
$429$	25.2098	+	9.17537i	1.21714	+	0.442991i
$430$	−3.07801	+	17.4933i	−0.148435	+	0.843601i
$431$	−15.9320	+	9.19835i	−0.767418	+	0.443069i	−0.831953	−	0.554846i	$-0.812777\pi$
$431$	−15.9320	+	9.19835i	−0.767418	+	0.443069i	0.0645346	+	0.997915i	$0.479444\pi$
$432$	19.9297	+	10.6932i	0.958869	+	0.514478i
$433$	−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
$436$	−8.15068	+	1.20245i	−0.390347	+	0.0575870i
$437$	14.1438	−	14.1438i	0.676588	−	0.676588i
$438$	8.34666	+	1.59280i	0.398819	+	0.0761069i
$439$	−3.65933	−	6.33815i	−0.174650	−	0.302504i	0.765390	−	0.643567i	$-0.222546\pi$
$439$	−3.65933	−	6.33815i	−0.174650	−	0.302504i	−0.940040	+	0.341063i	$0.889213\pi$
$440$	−7.58774	−	31.8181i	−0.361731	−	1.51687i
$441$	6.50304			0.309668
$442$	3.45974	+	6.19133i	0.164563	+	0.294491i
$443$	21.3678	−	21.3678i	1.01522	−	1.01522i	0.0153346	−	0.999882i	$-0.495119\pi$
$443$	21.3678	−	21.3678i	1.01522	−	1.01522i	0.999882	−	0.0153346i	$-0.00488135\pi$
$444$	6.65016	−	16.7897i	0.315603	−	0.796804i
$445$	−11.3097	−	10.9887i	−0.536131	−	0.520916i
$446$	18.2991	−	12.4343i	0.866489	−	0.588779i
$447$	−5.23784	−	5.23784i	−0.247741	−	0.247741i
$448$	0.505433	+	0.598595i	0.0238794	+	0.0282810i
$449$	−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	$0.667881\pi$
$450$	−4.15349	+	5.10093i	−0.195798	+	0.240460i
$451$	−52.2906	−	30.1900i	−2.46227	−	1.42159i
$452$	−3.76728	−	8.70892i	−0.177198	−	0.409633i
$453$	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	$0.380471\pi$
$458$	9.77164	+	8.43581i	0.456599	+	0.394180i
$459$	−3.93239	+	6.81110i	−0.183548	+	0.317915i
$460$	−16.9031	+	2.74281i	−0.788112	+	0.127884i
$461$	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	$0.160970\pi$
$462$	−0.193163	+	1.01222i	−0.00898674	+	0.0470927i
$463$	−7.15533	+	7.15533i	−0.332536	+	0.332536i	−0.853549	−	0.521013i	$-0.825554\pi$
$463$	−7.15533	+	7.15533i	−0.332536	+	0.332536i	0.521013	+	0.853549i	$0.325554\pi$
$464$	15.8163	−	16.8335i	0.734256	−	0.781476i
$465$	31.3128	−	0.450715i	1.45210	−	0.0209014i
$466$	18.2552	−	1.33932i	0.845654	−	0.0620430i
$467$	−18.4885	−	18.4885i	−0.855544	−	0.855544i	0.135265	−	0.990809i	$-0.456811\pi$
$467$	−18.4885	−	18.4885i	−0.855544	−	0.855544i	−0.990809	+	0.135265i	$0.956811\pi$
$468$	−5.60092	+	3.69210i	−0.258902	+	0.170667i
$469$			0.428035i			0.0197648i
$470$	3.19678	+	8.77320i	0.147457	+	0.404678i
$471$	−14.4853	+	8.36310i	−0.667448	+	0.385351i
$472$	0.145541	−	0.0760489i	0.00669905	−	0.00350043i
$473$	20.5415	+	20.5415i	0.944499	+	0.944499i
$474$	−3.65418	+	2.48301i	−0.167842	+	0.114049i
$475$	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
$478$	28.0012	−	32.4352i	1.28074	−	1.48355i
$479$	5.23404	+	9.06562i	0.239149	+	0.414219i	0.960470	−	0.278382i	$-0.0897981\pi$
$479$	5.23404	+	9.06562i	0.239149	+	0.414219i	−0.721321	+	0.692601i	$0.756465\pi$
$480$	−16.7268	−	7.16733i	−0.763469	−	0.327142i
$481$	14.5461	+	17.3350i	0.663244	+	0.790409i
$482$	13.9406	+	40.0408i	0.634978	+	1.82381i
$483$	0.521088	+	0.139625i	0.0237103	+	0.00635316i
$484$	−29.2848	−	11.5993i	−1.33113	−	0.527241i
$485$	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	−0.913030	−	0.407893i	$-0.866264\pi$
$487$	−33.0975	+	8.86845i	−1.49979	+	0.401868i	−0.586761	+	0.809760i	$0.699597\pi$
$488$	−21.2607	+	11.1093i	−0.962425	+	0.502893i
$489$			28.9732i			1.31021i
$490$	−22.0208	+	1.93461i	−0.994798	+	0.0873966i
$491$	−27.3732	+	15.8039i	−1.23533	+	0.713221i	−0.968137	−	0.250421i	$-0.919431\pi$
$491$	−27.3732	+	15.8039i	−1.23533	+	0.713221i	−0.267198	+	0.963642i	$0.586098\pi$
$492$	−30.8302	+	13.3364i	−1.38993	+	0.601252i
$493$	5.67949	+	5.67949i	0.255791	+	0.255791i
$494$	−7.25401	+	25.6293i	−0.326373	+	1.15312i
$495$	2.93379	+	10.3508i	0.131864	+	0.465234i
$496$	−11.2445	−	37.2802i	−0.504892	−	1.67393i
$497$	−0.236635	−	0.0634062i	−0.0106145	−	0.00284416i
$498$	0.934170	−	4.89528i	0.0418611	−	0.219363i
$499$	29.0076			1.29856			0.649280	−	0.760550i	$-0.275071\pi$
$499$	29.0076			1.29856			0.649280	+	0.760550i	$0.275071\pi$
$500$	12.5472	−	18.5086i	0.561128	−	0.827729i
$501$	−13.1458	+	22.7692i	−0.587312	+	1.01725i
$502$	−33.1453	+	11.5399i	−1.47935	+	0.515050i
$503$	2.28910	+	8.54303i	0.102066	+	0.380915i	0.997996	−	0.0632805i	$-0.0201563\pi$
$503$	2.28910	+	8.54303i	0.102066	+	0.380915i	−0.895930	+	0.444195i	$0.853490\pi$
$504$	−0.174376	−	0.189710i	−0.00776733	−	0.00845037i
$505$	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
$508$	20.7333	+	2.40179i	0.919892	+	0.106562i
$509$	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	$0.178897\pi$
$510$	2.67223	−	5.73604i	0.118328	−	0.253996i
$511$	−0.354206	−	0.204501i	−0.0156691	−	0.00904658i
$512$	−2.84974	+	22.4472i	−0.125942	+	0.992038i
$513$	−28.5304	+	7.64469i	−1.25965	+	0.337522i
$514$	1.32985	−	0.903634i	0.0586573	−	0.0398576i
$515$	−17.6885	−	9.87579i	−0.779449	−	0.435179i
$516$	15.9883	−	2.35872i	0.703846	−	0.103837i
$517$	14.7512	+	3.95258i	0.648758	+	0.173834i
$518$	−0.568015	+	0.657961i	−0.0249571	+	0.0289091i
$519$	−12.1466			−0.533177
$520$	17.8676	−	14.1685i	0.783548	−	0.621332i
$521$	−15.3493			−0.672464			−0.336232	−	0.941779i	$-0.609153\pi$
$521$	−15.3493			−0.672464			−0.336232	+	0.941779i	$0.609153\pi$
$522$	−4.96447	+	5.75060i	−0.217289	+	0.251697i
$523$	−3.19567	−	0.856276i	−0.139737	−	0.0374423i	0.188273	−	0.982117i	$-0.439711\pi$
$523$	−3.19567	−	0.856276i	−0.139737	−	0.0374423i	−0.328009	+	0.944674i	$0.606378\pi$
$524$	−1.93202	+	0.285027i	−0.0844006	+	0.0124514i
$525$	−0.599669	+	0.369631i	−0.0261717	+	0.0161320i
$526$	−17.1156	+	11.6300i	−0.746274	+	0.507093i
$527$	13.0791	−	3.50453i	0.569733	−	0.152660i
$528$	−25.2993	+	15.6767i	−1.10101	+	0.682240i
$529$	−7.22099	−	4.16904i	−0.313956	−	0.181263i
$530$	−8.15341	−	22.3761i	−0.354162	−	0.971956i
$531$	−0.0467739	+	0.0270049i	−0.00202981	+	0.00117191i
$532$	−1.01633	−	0.117734i	−0.0440636	−	0.00510442i
$533$	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
$536$	−9.10175	+	8.36605i	−0.393136	+	0.361358i
$537$	1.16571	+	4.35050i	0.0503043	+	0.187738i
$538$	8.18763	−	2.85061i	0.352994	−	0.122899i
$539$	−18.0771	+	31.3104i	−0.778634	+	1.34863i
$540$	23.6414	+	8.97258i	1.01736	+	0.386118i
$541$	−5.88219			−0.252895			−0.126447	−	0.991973i	$-0.540358\pi$
$541$	−5.88219			−0.252895			−0.126447	+	0.991973i	$0.540358\pi$
$542$	−8.37163	+	43.8694i	−0.359592	+	1.88435i
$543$	−19.8834	−	5.32774i	−0.853279	−	0.228635i
$544$	−7.77103	−	1.23353i	−0.333180	−	0.0528870i
$545$	−8.86227	+	2.51189i	−0.379618	+	0.107598i
$546$	−0.696447	+	0.176184i	−0.0298052	+	0.00753999i
$547$	−1.72600	−	1.72600i	−0.0737985	−	0.0737985i	0.669244	−	0.743043i	$-0.266618\pi$
$547$	−1.72600	−	1.72600i	−0.0737985	−	0.0737985i	−0.743043	+	0.669244i	$0.766618\pi$
$548$	22.1508	−	9.58190i	0.946233	−	0.409318i
$549$	6.83276	−	3.94490i	0.291615	−	0.168364i
$550$	−13.0138	−	34.1775i	−0.554910	−	1.45733i
$551$			30.1649i			1.28507i
$552$	7.21581	+	13.8094i	0.307125	+	0.587769i
$553$	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
$556$	3.39304	+	1.34393i	0.143897	+	0.0569955i
$557$	−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	$0.758312\pi$
$558$	4.21104	+	12.0951i	0.178267	+	0.512027i
$559$	−6.92636	+	19.0305i	−0.292954	+	0.804906i
$560$	0.646915	+	0.590528i	0.0273372	+	0.0249544i
$561$	−5.17474	−	8.96290i	−0.218477	−	0.378414i
$562$	8.70830	−	10.0873i	0.367338	−	0.425506i
$563$	−6.14140	−	22.9200i	−0.258829	−	0.965964i	−0.965920	−	0.258841i	$-0.916659\pi$
$563$	−6.14140	−	22.9200i	−0.258829	−	0.965964i	0.707091	−	0.707123i	$-0.250007\pi$
$564$	6.65899	−	5.27637i	0.280394	−	0.222175i
$565$	−5.43609	−	9.11022i	−0.228698	−	0.383270i
$566$	32.9016	−	22.3567i	1.38296	−	0.939720i
$567$	−0.370038	−	0.370038i	−0.0155401	−	0.0155401i
$568$	−3.27683	−	6.27111i	−0.137493	−	0.263130i
$569$	−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	$0.587600\pi$
$570$	22.3290	−	8.13625i	0.935258	−	0.340790i
$571$			11.9727i			0.501042i	0.968111	+	0.250521i	$0.0806019\pi$
$571$			11.9727i			0.501042i	−0.968111	+	0.250521i	$0.919398\pi$
$572$	−2.20712	−	37.2302i	−0.0922843	−	1.55667i
$573$	−1.03638	−	1.03638i	−0.0432953	−	0.0432953i
$574$	1.61251	−	0.118305i	0.0673050	−	0.00493796i
$575$	−18.3428	+	5.48542i	−0.764948	+	0.228758i
$576$	0.625784	−	7.41588i	0.0260743	−	0.308995i
$577$	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	$0.244159\pi$
$578$	−3.99369	+	20.9279i	−0.166116	+	0.870486i
$579$	8.02308	−	13.8964i	0.333428	−	0.577514i
$580$	15.1001	−	20.9498i	0.626997	−	0.869891i
$581$	−0.119939	+	0.207740i	−0.00497590	+	0.00861850i
$582$	−15.1673	−	13.0938i	−0.628704	−	0.542757i
$583$	−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	$-0.666113\pi$
$587$	8.88351	−	33.1537i	0.366662	−	1.36840i	0.865154	−	0.501506i	$-0.167221\pi$
$588$	7.98553	+	18.4604i	0.329318	+	0.761293i
$589$	44.0394	+	25.4261i	1.81461	+	1.04767i
$590$	0.150353	−	0.105360i	0.00618995	−	0.00433759i
$591$	−1.75662	−	1.01419i	−0.0722578	−	0.0417181i
$592$	−25.0929	+	0.781727i	−1.03131	+	0.0321288i
$593$	−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	$0.848907\pi$
$594$	34.2072	−	23.2438i	1.40354	−	0.953703i
$595$	−0.212252	+	0.218451i	−0.00870148	+	0.00895563i
$596$	−3.79215	+	9.57407i	−0.155333	+	0.392169i
$597$	20.7176	−	20.7176i	0.847913	−	0.847913i
$598$	−19.5227	−	0.273762i	−0.798342	−	0.0111950i
$599$	−7.21687			−0.294873			−0.147437	−	0.989072i	$-0.547102\pi$
$599$	−7.21687			−0.294873			−0.147437	+	0.989072i	$0.547102\pi$
$600$	−19.5805	−	5.52686i	−0.799372	−	0.225633i
$601$	−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	$0.857685\pi$
$602$	−0.764110	−	0.145816i	−0.0311428	−	0.00594301i
$603$	2.87516	−	2.87516i	0.117085	−	0.117085i
$604$	−17.4016	+	2.56721i	−0.708059	+	0.104458i
$605$	−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	0.420065	−	0.907494i	$-0.362007\pi$
$607$	30.4912	−	8.17009i	1.23760	−	0.331614i	0.817534	+	0.575880i	$0.195340\pi$
$608$	−17.3610	−	23.9125i	−0.704081	−	0.969780i
$609$	−0.704562	+	0.406779i	−0.0285503	+	0.0164835i
$610$	−21.9637	+	15.3910i	−0.889286	+	0.623165i
$611$	1.84882	+	10.4846i	0.0747951	+	0.424162i
$612$	2.57073	+	0.297799i	0.103916	+	0.0120378i
$613$	−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	$0.954623\pi$
$614$	10.7995	−	0.792328i	0.435834	−	0.0319758i
$615$	−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	$0.812084\pi$
$618$	−3.45525	+	18.1063i	−0.138990	+	0.728343i
$619$	38.2271			1.53648			0.768238	−	0.640164i	$-0.221134\pi$
$619$	38.2271			1.53648			0.768238	+	0.640164i	$0.221134\pi$
$620$	−17.8578	−	39.7041i	−0.717185	−	1.59456i
$621$	−10.8254	−	18.7502i	−0.434409	−	0.752419i
$622$	32.3487	+	27.9265i	1.29706	+	1.11975i
$623$	0.488338	−	0.488338i	0.0195648	−	0.0195648i
$624$	−17.3586	−	11.3657i	−0.694902	−	0.454993i
$625$	11.2335	−	22.3340i	0.449340	−	0.893361i
$626$	−25.7427	+	1.88866i	−1.02889	+	0.0754861i
$627$	10.0599	−	37.5439i	0.401752	−	1.49936i
$628$	18.6657	+	13.8663i	0.744843	+	0.553327i
$629$		−	8.72990i		−	0.348084i
$630$	−0.220757	−	0.185101i	−0.00879519	−	0.00737461i
$631$	−10.5628	−	6.09843i	−0.420498	−	0.242775i	0.274792	−	0.961504i	$-0.411391\pi$
$631$	−10.5628	−	6.09843i	−0.420498	−	0.242775i	−0.695290	+	0.718729i	$0.744724\pi$
$632$	5.18502	+	3.29200i	0.206249	+	0.130949i
$633$	−2.83368	+	0.759283i	−0.112629	+	0.0301788i
$634$	−0.509625	−	6.94625i	−0.0202398	−	0.275871i
$635$	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
$638$	−13.8874	−	39.8880i	−0.549808	−	1.57918i
$639$	1.16360	+	2.01541i	0.0460313	+	0.0797285i
$640$	0.0871211	+	25.2981i	0.00344376	+	0.999994i
$641$	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	$0.0561022\pi$
$642$	−3.93026	−	11.2886i	−0.155115	−	0.445527i
$643$	2.70968	+	10.1127i	0.106859	+	0.398805i	0.998549	−	0.0538417i	$-0.0171467\pi$
$643$	2.70968	+	10.1127i	0.106859	+	0.398805i	−0.891690	+	0.452646i	$0.850480\pi$
$644$	−0.109456	−	0.741935i	−0.00431317	−	0.0292363i
$645$	17.3842	−	4.92730i	0.684500	−	0.194012i
$646$	8.49914	−	5.77516i	0.334394	−	0.227221i
$647$	1.11363	−	4.15613i	0.0437814	−	0.163394i	−0.940574	−	0.339589i	$-0.889712\pi$
$647$	1.11363	−	4.15613i	0.0437814	−	0.163394i	0.984355	+	0.176194i	$0.0563787\pi$
$648$	0.636013	−	15.1010i	0.0249849	−	0.593223i
$649$		−	0.300272i		−	0.0117867i
$650$	17.7596	−	18.2919i	0.696590	−	0.717469i
$651$			1.37150i			0.0537535i
$652$	36.9677	−	15.9914i	1.44777	−	0.626271i
$653$	−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	$0.920715\pi$
$654$	4.71051	+	6.93231i	0.184195	+	0.271075i
$655$	−2.10069	+	0.595412i	−0.0820808	+	0.0232647i
$656$	34.0327	+	31.9763i	1.32875	+	1.24846i
$657$	1.00558	+	3.75289i	0.0392316	+	0.146414i
$658$	−0.386203	+	0.134461i	−0.0150558	+	0.00524182i
$659$	−1.86574	+	3.23155i	−0.0726788	+	0.125883i	−0.900075	−	0.435736i	$-0.856488\pi$
$659$	−1.86574	+	3.23155i	−0.0726788	+	0.125883i	0.827396	+	0.561619i	$0.189821\pi$
$660$	−25.7806	+	21.0387i	−1.00351	+	0.818931i
$661$	−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	$0.862915\pi$
$662$	2.26663	−	0.789152i	0.0880952	−	0.0306713i
$663$	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
$666$	8.23502	−	0.604178i	0.319101	−	0.0234114i
$667$	−21.3578	+	5.72280i	−0.826976	+	0.221588i
$668$	36.3076	+	4.20595i	1.40478	+	0.162733i
$669$	−19.4910	−	11.2531i	−0.753565	−	0.435071i
$670$	−8.88061	+	10.5913i	−0.343088	+	0.409177i
$671$			43.8639i			1.69335i
$672$	0.324409	−	0.727966i	0.0125143	−	0.0280819i
$673$	−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	$0.129891\pi$
$674$	3.34504	+	45.5934i	0.128846	+	1.75619i
$675$	27.5075	+	6.52820i	1.05876	+	0.251270i
$676$	22.8723	−	12.3635i	0.879705	−	0.475520i
$677$	−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	$0.384232\pi$
$678$	−6.30783	+	7.30669i	−0.242251	+	0.280612i
$679$	0.482231	+	0.835248i	0.0185063	+	0.0320539i
$680$	−8.79368	−	0.243643i	−0.337222	−	0.00934326i
$681$	10.6880			0.409565
$682$	−69.9405	−	13.3468i	−2.67816	−	0.511076i
$683$	7.64764	+	28.5414i	0.292629	+	1.09211i	0.943082	+	0.332560i	$0.107912\pi$
$683$	7.64764	+	28.5414i	0.292629	+	1.09211i	−0.650453	+	0.759546i	$0.725421\pi$
$684$	6.03599	+	7.61766i	0.230792	+	0.291268i
$685$	23.1714	−	13.8265i	0.885334	−	0.528282i
$686$	−0.141774	−	1.93239i	−0.00541294	−	0.0737791i
$687$	3.39889	−	12.6848i	0.129676	−	0.483956i
$688$	−11.8341	−	19.0981i	−0.451171	−	0.728107i
$689$	−4.71541	−	26.7410i	−0.179643	−	1.01875i
$690$	9.99694	+	14.2661i	0.380577	+	0.543102i
$691$	23.0074	−	13.2833i	0.875242	−	0.505321i	0.00615544	−	0.999981i	$-0.498041\pi$
$691$	23.0074	−	13.2833i	0.875242	−	0.505321i	0.869087	+	0.494660i	$0.164707\pi$
$692$	6.70416	+	15.4982i	0.254854	+	0.589153i
$693$	−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
$696$	−22.4206	−	7.03123i	−0.849851	−	0.266518i
$697$	−11.4823	+	11.4823i	−0.434925	+	0.434925i
$698$	5.66926	−	29.7083i	0.214585	−	1.12448i
$699$	−9.31027	−	16.1259i	−0.352147	−	0.609936i
$700$	0.802602	+	0.561122i	0.0303355	+	0.0212084i
$701$	−17.8617			−0.674627			−0.337314	−	0.941392i	$-0.609518\pi$
$701$	−17.8617			−0.674627			−0.337314	+	0.941392i	$0.609518\pi$
$702$	24.7642	+	14.7644i	0.934663	+	0.557246i
$703$	23.1831	−	23.1831i	0.874367	−	0.874367i
$704$	33.9659	+	23.6275i	1.28014	+	0.890497i
$705$	6.61933	−	6.81266i	0.249298	−	0.256580i
$706$	−3.28181	−	4.82974i	−0.123512	−	0.181770i
$707$	0.791030	+	0.791030i	0.0297498	+	0.0297498i
$708$	−0.134097	−	0.0996173i	−0.00503966	−	0.00374385i
$709$	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	$0.654809\pi$
$710$	−4.53979	−	6.47849i	−0.170375	−	0.243134i
$711$	−1.74942	−	1.01003i	−0.0656085	−	0.0378791i
$712$	19.9287	+	0.839344i	0.746861	+	0.0314558i
$713$	−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
$718$	−18.0011	+	20.8516i	−0.671796	+	0.778176i
$719$	6.21683	−	10.7679i	0.231849	−	0.401574i	−0.726503	−	0.687163i	$-0.758856\pi$
$719$	6.21683	−	10.7679i	0.231849	−	0.401574i	0.958352	+	0.285589i	$0.0921892\pi$
$720$	−0.378761	−	8.31205i	−0.0141156	−	0.309772i
$721$	0.443621	−	0.768375i	0.0165213	−	0.0286158i
$722$	11.5130	+	2.19704i	0.428471	+	0.0817654i
$723$	30.4981	−	30.4981i	1.13424	−	1.13424i
$724$	4.17657	+	28.3104i	0.155221	+	1.05215i
$725$	13.7107	−	25.4096i	0.509202	−	0.943689i
$726$	2.34457	+	31.9567i	0.0870150	+	1.18603i
$727$	19.9059	+	19.9059i	0.738268	+	0.738268i	0.972243	−	0.233975i	$-0.0751733\pi$
$727$	19.9059	+	19.9059i	0.738268	+	0.738268i	−0.233975	+	0.972243i	$0.575173\pi$
$728$	0.609194	+	0.791374i	0.0225782	+	0.0293303i
$729$			29.3749i			1.08796i
$730$	−4.52160	−	12.4090i	−0.167352	−	0.459278i
$731$	6.76597	−	3.90633i	0.250248	−	0.144481i
$732$	19.5889	+	14.5522i	0.724028	+	0.537863i
$733$	−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	$0.829261\pi$
$734$	−13.5140	−	19.8882i	−0.498813	−	0.734088i
$735$	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
$738$	−11.6261	−	10.0368i	−0.427963	−	0.369459i
$739$	23.2895	+	40.3386i	0.856719	+	1.48388i	0.875041	+	0.484048i	$0.160834\pi$
$739$	23.2895	+	40.3386i	0.856719	+	1.48388i	−0.0183227	+	0.999832i	$0.505833\pi$
$740$	−27.7060	+	4.49575i	−1.01849	+	0.165267i
$741$	26.6847	−	4.70549i	0.980288	−	0.172860i
$742$	0.985013	−	0.342943i	0.0361610	−	0.0125898i
$743$	13.0370	+	3.49326i	0.478282	+	0.128155i	0.489903	−	0.871777i	$-0.337032\pi$
$743$	13.0370	+	3.49326i	0.478282	+	0.128155i	−0.0116204	+	0.999932i	$0.503699\pi$
$744$	−29.1637	+	26.8064i	−1.06919	+	0.982772i
$745$	−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
$748$	−8.57990	+	11.5496i	−0.313712	+	0.422293i
$749$			0.575348i			0.0210228i
$750$	−22.5071	−	3.29544i	−0.821844	−	0.120333i
$751$	16.4886	−	9.51970i	0.601678	−	0.347379i	−0.168024	−	0.985783i	$-0.553738\pi$
$751$	16.4886	−	9.51970i	0.601678	−	0.347379i	0.769701	+	0.638404i	$0.220405\pi$
$752$	−10.4076	−	5.58417i	−0.379527	−	0.203634i
$753$	25.2460	+	25.2460i	0.920014	+	0.920014i
$754$	21.1103	−	20.5264i	0.768790	−	0.747527i
$755$	−18.9208	+	5.36283i	−0.688598	+	0.195174i
$756$	−0.407821	+	1.02963i	−0.0148323	+	0.0374472i
$757$	−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	$0.880952\pi$
$758$	17.1129	+	3.26566i	0.621567	+	0.118614i
$759$	28.4909			1.03415
$760$	−22.7055	−	23.9995i	−0.823614	−	0.870553i
$761$	−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	$0.199080\pi$
$762$	−6.98134	−	20.0521i	−0.252907	−	0.726411i
$763$	−0.104412	−	0.389672i	−0.00377998	−	0.0141071i
$764$	−0.750329	+	1.89436i	−0.0271459	+	0.0685355i
$765$	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
$768$	21.8201	−	7.33004i	0.787367	−	0.264500i
$769$	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	$0.0549273\pi$
$770$	1.50487	−	0.548346i	0.0542318	−	0.0197610i
$771$	−1.41647	−	0.817799i	−0.0510129	−	0.0294523i
$772$	−22.1590	−	2.56695i	−0.797521	−	0.0923865i
$773$	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	$0.154309\pi$
$774$	4.15315	+	6.11208i	0.149282	+	0.219694i
$775$	−25.5401	−	41.4349i	−0.917427	−	1.48838i
$776$	−8.33543	+	26.5793i	−0.299224	+	0.954143i
$777$	0.854117	+	0.228860i	0.0306413	+	0.00821030i
$778$	−11.5463	−	9.96791i	−0.413956	−	0.357367i
$779$	−60.9850			−2.18501
$780$	−20.8883	−	10.0900i	−0.747920	−	0.361279i
$781$	−12.9382			−0.462966
$782$	5.70145	+	4.92204i	0.203883	+	0.176012i
$783$	31.5384	+	8.45069i	1.12709	+	0.302003i
$784$	19.1466	−	20.3779i	0.683808	−	0.727783i
$785$	22.6990	+	12.6732i	0.810162	+	0.452327i
$786$	1.11657	+	1.64322i	0.0398266	+	0.0586117i
$787$	26.2567	−	7.03545i	0.935949	−	0.250787i	0.241559	−	0.970386i	$-0.422341\pi$
$787$	26.2567	−	7.03545i	0.935949	−	0.250787i	0.694389	+	0.719599i	$0.255675\pi$
$788$	−0.324484	+	2.80109i	−0.0115593	+	0.0997848i
$789$	18.2303	+	10.5253i	0.649018	+	0.374710i
$790$	6.22444	+	2.89976i	0.221455	+	0.103169i
$791$	0.402373	−	0.232310i	0.0143067	−	0.00825999i
$792$	−11.4886	−	7.29420i	−0.408231	−	0.259188i
$793$	−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
$796$	−37.8689	−	14.9993i	−1.34223	−	0.531637i
$797$	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	$0.900526\pi$
$798$	0.342221	+	0.982939i	0.0121145	+	0.0347957i
$799$	2.05356	−	3.55687i	0.0726496	−	0.125833i
$800$	3.75535	+	28.0339i	0.132772	+	0.991147i
$801$	−6.56044			−0.231802
$802$	23.8182	+	4.54525i	0.841051	+	0.160499i
$803$	−20.8645	−	5.59062i	−0.736292	−	0.197289i
$804$	11.6924	+	4.63120i	0.412359	+	0.163330i
$805$	−0.228651	−	0.806709i	−0.00805887	−	0.0284327i
$806$	−12.1737	−	48.1218i	−0.428799	−	1.69502i
$807$	−6.23633	−	6.23633i	−0.219529	−	0.219529i
$808$	−1.35961	+	32.2814i	−0.0478308	+	1.13566i
$809$	−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	$0.527793\pi$
$810$	−1.47889	−	16.8336i	−0.0519628	−	0.591471i
$811$		−	28.7528i		−	1.00965i	−0.863223	−	0.504824i	$-0.831558\pi$
$811$		−	28.7528i		−	1.00965i	0.863223	−	0.504824i	$-0.168442\pi$
$812$	0.907895	+	0.674454i	0.0318609	+	0.0236687i
$813$	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
$816$	2.31141	+	7.66330i	0.0809154	+	0.268269i
$817$	28.3414	+	7.59404i	0.991538	+	0.265682i
$818$	44.1226	−	15.3618i	1.54271	−	0.537111i
$819$	−0.211141	−	0.251624i	−0.00737787	−	0.00879245i
$820$	42.3546	+	30.5282i	1.47909	+	1.06609i
$821$	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	$0.828688\pi$
$822$	−18.5842	−	16.0437i	−0.648199	−	0.559588i
$823$	11.8533	+	44.2371i	0.413180	+	1.54201i	0.788453	+	0.615095i	$0.210882\pi$
$823$	11.8533	+	44.2371i	0.413180	+	1.54201i	−0.375273	+	0.926914i	$0.622451\pi$
$824$	25.0095	−	5.58491i	0.871246	−	0.194559i
$825$	−25.5386	+	27.0529i	−0.889140	+	0.941862i
$826$	0.00451905	+	0.00665055i	0.000157238	+	0.000231402i
$827$	−19.8999	−	19.8999i	−0.691986	−	0.691986i	0.270682	−	0.962669i	$-0.412751\pi$
$827$	−19.8999	−	19.8999i	−0.691986	−	0.691986i	−0.962669	+	0.270682i	$0.912751\pi$
$828$	−4.24843	+	5.71889i	−0.147643	+	0.198745i
$829$	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	$0.248557\pi$
$830$	−7.27783	+	2.65190i	−0.252617	+	0.0920488i
$831$		−	6.18677i		−	0.214617i
$832$	−4.92096	+	28.4215i	−0.170604	+	0.985340i
$833$	6.87535	+	6.87535i	0.238217	+	0.238217i
$834$	−0.271649	−	3.70262i	−0.00940645	−	0.128211i
$835$	40.8603	−	0.588142i	1.41403	−	0.0203535i
$836$	−53.4557	+	7.88621i	−1.84881	+	0.272750i
$837$	38.9215	−	38.9215i	1.34533	−	1.34533i
$838$	−3.44294	−	0.657019i	−0.118934	−	0.0226963i
$839$	−1.94653	+	3.37149i	−0.0672016	+	0.116397i	−0.897668	−	0.440671i	$-0.854740\pi$
$839$	−1.94653	+	3.37149i	−0.0672016	+	0.116397i	0.830467	+	0.557068i	$0.188074\pi$
$840$	0.254370	−	0.853970i	0.00877658	−	0.0294648i
$841$	2.17261	−	3.76307i	0.0749176	−	0.129761i
$842$	−16.6165	+	19.2477i	−0.572642	+	0.663321i
$843$	−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
$848$	26.5447	+	14.2425i	0.911549	+	0.489088i
$849$	−35.0446	−	20.2330i	−1.20273	−	0.694395i
$850$	−9.78427	+	1.00168i	−0.335598	+	0.0343575i
$851$	20.8127	+	12.0162i	0.713449	+	0.411910i
$852$	−4.29235	+	5.77801i	−0.147054	+	0.197951i
$853$	−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	$0.834501\pi$
$854$	−0.660146	−	0.971518i	−0.0225897	−	0.0332446i
$855$	7.79345	+	7.57228i	0.266530	+	0.258966i
$856$	−12.2342	+	11.2453i	−0.418158	+	0.384358i
$857$	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	$0.163959\pi$
$858$	−33.1198	+	18.5074i	−1.13069	+	0.631834i
$859$	−1.79688			−0.0613087			−0.0306544	−	0.999530i	$-0.509759\pi$
$859$	−1.79688			−0.0613087			−0.0306544	+	0.999530i	$0.509759\pi$
$860$	−15.8818	−	19.4614i	−0.541566	−	0.663627i
$861$	−0.822394	−	1.42443i	−0.0280271	−	0.0485444i
$862$	4.87682	−	25.5557i	0.166105	−	0.870431i
$863$	31.8758	−	31.8758i	1.08506	−	1.08506i	0.0890355	−	0.996028i	$-0.471622\pi$
$863$	31.8758	−	31.8758i	1.08506	−	1.08506i	0.996028	−	0.0890355i	$-0.0283785\pi$
$864$	−29.8650	+	11.4524i	−1.01603	+	0.389620i
$865$	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
$868$	1.74994	−	0.756984i	0.0593969	−	0.0256937i
$869$	9.72605	−	5.61534i	0.329934	−	0.190487i
$870$	−25.8733	−	4.55250i	−0.877187	−	0.154344i
$871$	−12.0722	+	10.1299i	−0.409050	+	0.343240i
$872$	6.24524	−	9.83647i	0.211490	−	0.333105i
$873$	2.37126	−	8.84966i	0.0802550	−	0.299516i
$874$	2.06980	+	28.2117i	0.0700122	+	0.954275i
$875$	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	$-0.293904\pi$
$878$	10.1667	+	1.94012i	0.343109	+	0.0654759i
$879$	16.4396			0.554493
$880$	41.0732	+	21.2821i	1.38458	+	0.717419i
$881$	−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	$0.850894\pi$
$882$	−6.00978	+	6.96143i	−0.202360	+	0.234404i
$883$	−32.1245	+	32.1245i	−1.08108	+	1.08108i	−0.0846666	+	0.996409i	$0.526983\pi$
$883$	−32.1245	+	32.1245i	−1.08108	+	1.08108i	−0.996409	+	0.0846666i	$0.973017\pi$
$884$	−9.82506	−	2.01810i	−0.330453	−	0.0678761i
$885$	−0.163072	−	0.0910459i	−0.00548161	−	0.00306047i
$886$	3.12698	+	42.6211i	0.105053	+	1.43189i
$887$	10.4109	−	38.8540i	0.349564	−	1.30459i	−0.537626	−	0.843184i	$-0.680679\pi$
$887$	10.4109	−	38.8540i	0.349564	−	1.30459i	0.887189	−	0.461405i	$-0.152655\pi$
$888$	11.8275	+	22.6351i	0.396903	+	0.759584i
$889$			1.02200i			0.0342767i
$890$	22.2152	−	1.95168i	0.744655	−	0.0654206i
$891$	−23.9349	−	13.8188i	−0.801848	−	0.462947i
$892$	−3.60039	+	31.0801i	−0.120550	+	1.04064i
$893$	14.8990	−	3.99218i	0.498577	−	0.133593i
$894$	10.4476	−	0.766508i	0.349420	−	0.0256359i
$895$	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
$898$	0.215969	−	0.0751918i	0.00720698	−	0.00250918i
$899$	−28.1069	−	48.6825i	−0.937417	−	1.62365i
$900$	−1.62205	−	9.16030i	−0.0540683	−	0.305343i
$901$	−5.23761	+	9.07181i	−0.174490	+	0.302226i
$902$	80.6424	−	28.0765i	2.68510	−	0.934845i
$903$	0.204814	+	0.764377i	0.00681579	+	0.0254369i
$904$	12.8043	+	4.01551i	0.425866	+	0.133554i
$905$	8.72474	+	30.7820i	0.290020	+	1.02323i
$906$	10.0568	+	14.8004i	0.334116	+	0.491709i
$907$	−0.155740	+	0.581228i	−0.00517125	+	0.0192994i	−0.968463	−	0.249156i	$-0.919847\pi$
$907$	−0.155740	+	0.581228i	−0.00517125	+	0.0192994i	0.963292	+	0.268456i	$0.0865133\pi$
$908$	−5.89910	−	13.6371i	−0.195769	−	0.452564i
$909$		−	10.6269i		−	0.352472i
$910$	0.789830	+	0.789244i	0.0261826	+	0.0261632i
$911$			12.9813i			0.430088i	0.976604	+	0.215044i	$0.0689896\pi$
$911$			12.9813i			0.430088i	−0.976604	+	0.215044i	$0.931010\pi$
$912$	−14.2125	+	26.4888i	−0.470622	+	0.877132i
$913$	−3.27887	+	12.2369i	−0.108515	+	0.404983i
$914$	−29.7587	+	20.2210i	−0.984330	+	0.668852i
$915$	23.8217	+	13.3000i	0.787521	+	0.439686i
$916$	−18.0609	+	2.66449i	−0.596749	+	0.0880371i
$917$	−0.0247496	−	0.0923669i	−0.000817305	−	0.00305022i
$918$	−3.65710	−	10.5041i	−0.120702	−	0.346685i
$919$	−7.36111	+	12.7498i	−0.242821	+	0.420578i	−0.961517	−	0.274747i	$-0.911406\pi$
$919$	−7.36111	+	12.7498i	−0.242821	+	0.420578i	0.718696	+	0.695324i	$0.244739\pi$
$920$	12.6849	−	20.6294i	0.418207	−	0.680130i
$921$	−5.50784	−	9.53987i	−0.181490	−	0.314349i
$922$	0.357308	+	1.02627i	0.0117673	+	0.0337985i
$923$	−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
$926$	−1.04711	−	14.2723i	−0.0344103	−	0.469017i
$927$	−8.14112	+	2.18141i	−0.267389	+	0.0716468i
$928$	3.40342	+	32.4879i	0.111723	+	1.06647i
$929$	−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	$0.789492\pi$
$930$	−28.4552	+	33.9365i	−0.933083	+	1.11282i
$931$			36.5163i			1.19677i
$932$	−15.4368	+	20.7797i	−0.505648	+	0.680662i
$933$	11.2519	−	41.9927i	0.368371	−	1.37478i
$934$	36.8778	−	2.70561i	1.20668	−	0.0885303i
$935$	−7.84165	+	14.0452i	−0.256450	+	0.459326i
$936$	1.22373	−	9.40777i	0.0399988	−	0.307503i
$937$	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	$-0.0674771\pi$
$938$	−0.458207	−	0.395568i	−0.0149610	−	0.0129157i
$939$	13.1290	+	22.7400i	0.428448	+	0.742093i
$940$	−12.3459	−	4.68562i	−0.402680	−	0.152828i
$941$	−34.8355			−1.13561			−0.567803	−	0.823165i	$-0.692206\pi$
$941$	−34.8355			−1.13561			−0.567803	+	0.823165i	$0.692206\pi$
$942$	4.43398	−	23.2351i	0.144467	−	0.757042i
$943$	−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
$946$	−40.9729	+	3.00605i	−1.33214	+	0.0977352i
$947$	−15.2639	+	56.9657i	−0.496011	+	1.85114i	0.0282826	+	0.999600i	$0.490996\pi$
$947$	−15.2639	+	56.9657i	−0.496011	+	1.85114i	−0.524293	+	0.851538i	$0.675670\pi$
$948$	0.718966	−	6.20643i	0.0233509	−	0.201576i
$949$	−2.61501	−	14.8297i	−0.0848867	−	0.481391i
$950$	−28.6431	−	23.3230i	−0.929306	−	0.756698i
$951$	−6.13603	+	3.54264i	−0.198975	+	0.114878i
$952$	0.0162123	−	0.384931i	0.000525443	−	0.0124757i
$953$	−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
$956$	8.84429	+	59.9500i	0.286045	+	1.93892i
$957$	−30.3817	+	30.3817i	−0.982102	+	0.982102i
$958$	−14.5417	−	2.77500i	−0.469820	−	0.0896562i
$959$	0.590870	+	1.02342i	0.0190802	+	0.0330479i
$960$	23.1306	−	11.2821i	0.746536	−	0.364130i
$961$	−63.7658			−2.05696
$962$	−31.9997	−	0.448724i	−1.03171	−	0.0144674i
$963$	3.86468	−	3.86468i	0.124538	−	0.124538i
$964$	−55.7465	−	22.0804i	−1.79547	−	0.711162i
$965$	−24.9376	+	0.358951i	−0.802771	+	0.0115551i
$966$	−0.631030	+	0.428785i	−0.0203031	+	0.0137959i
$967$	22.6425	+	22.6425i	0.728132	+	0.728132i	0.970247	−	0.242115i	$-0.0778412\pi$
$967$	22.6425	+	22.6425i	0.728132	+	0.728132i	−0.242115	+	0.970247i	$0.577841\pi$
$968$	39.4805	−	20.6296i	1.26895	−	0.663060i
$969$	−9.05271	−	5.22658i	−0.290815	−	0.167902i
$970$	−5.39693	+	30.6724i	−0.173285	+	0.984833i
$971$	−8.49238	−	4.90308i	−0.272533	−	0.157347i	0.357505	−	0.933911i	$-0.383628\pi$
$971$	−8.49238	−	4.90308i	−0.272533	−	0.157347i	−0.630038	+	0.776564i	$0.716961\pi$
$972$	17.0256	−	7.36488i	0.546096	−	0.236229i
$973$	−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	$0.574690\pi$
$978$	−31.0155	−	26.7756i	−0.991767	−	0.856188i
$979$	18.2366	−	31.5868i	0.582845	−	1.00952i
$980$	18.2795	−	25.3609i	0.583918	−	0.810124i
$981$	−1.91612	+	3.31882i	−0.0611771	+	0.105962i
$982$	8.37898	−	43.9079i	0.267384	−	1.40116i
$983$	−20.8728	+	20.8728i	−0.665738	+	0.665738i	−0.956727	−	0.290988i	$-0.906016\pi$
$983$	−20.8728	+	20.8728i	−0.665738	+	0.665738i	0.290988	+	0.956727i	$0.406016\pi$
$984$	14.2152	−	45.3282i	0.453164	−	1.44501i
$985$	0.0453745	+	3.15233i	0.00144575	+	0.100442i
$986$	−11.3285	+	0.831138i	−0.360774	+	0.0264688i
$987$	0.294162	+	0.294162i	0.00936327	+	0.00936327i
$988$	−20.7322	−	31.4507i	−0.659578	−	1.00058i
$989$			21.5074i			0.683895i
$990$	−13.7917	−	6.42509i	−0.438329	−	0.204203i
$991$	−39.0082	+	22.5214i	−1.23914	+	0.715416i	−0.968918	−	0.247383i	$-0.920429\pi$
$991$	−39.0082	+	22.5214i	−1.23914	+	0.715416i	−0.270219	+	0.962799i	$0.587096\pi$
$992$	50.2997	+	22.4154i	1.59702	+	0.711690i
$993$	−1.72644	−	1.72644i	−0.0547869	−	0.0547869i
$994$	0.286562	−	0.194719i	0.00908919	−	0.00617610i
$995$	−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	$-0.168343\pi$
$998$	−26.8074	+	31.0523i	−0.848572	+	0.982945i
$999$	−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.3.12	✓	144
4.3	odd	2	inner	260.2.bj.c.3.18	yes	144
5.2	odd	4	inner	260.2.bj.c.107.9	yes	144
13.9	even	3	inner	260.2.bj.c.243.35	yes	144
20.7	even	4	inner	260.2.bj.c.107.35	yes	144
52.35	odd	6	inner	260.2.bj.c.243.9	yes	144
65.22	odd	12	inner	260.2.bj.c.87.18	yes	144
260.87	even	12	inner	260.2.bj.c.87.12	yes	144

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

\(f(q)\)	\(=\)	\(q+(-0.924149 + 1.07049i) q^{2} +(1.38963 + 0.372351i) q^{3} +(-0.291896 - 1.97858i) q^{4} +(-0.609763 - 2.15132i) q^{5} +(-1.68282 + 1.14348i) q^{6} +(0.0945931 - 0.0253462i) q^{7} +(2.38781 + 1.51604i) q^{8} +(-0.805646 - 0.465140i) q^{9} +O(q^{10})\)	\(q+(-0.924149 + 1.07049i) q^{2} +(1.38963 + 0.372351i) q^{3} +(-0.291896 - 1.97858i) q^{4} +(-0.609763 - 2.15132i) q^{5} +(-1.68282 + 1.14348i) q^{6} +(0.0945931 - 0.0253462i) q^{7} +(2.38781 + 1.51604i) q^{8} +(-0.805646 - 0.465140i) q^{9} +(2.86648 + 1.33540i) q^{10} +(4.47905 - 2.58598i) q^{11} +(0.331099 - 2.85819i) q^{12} +(2.95351 + 2.06803i) q^{13} +(-0.0602854 + 0.124685i) q^{14} +(-0.0462995 - 3.21659i) q^{15} +(-3.82959 + 1.15508i) q^{16} +(-0.360001 - 1.34354i) q^{17} +(1.24246 - 0.432577i) q^{18} +(2.61189 - 4.52392i) q^{19} +(-4.07859 + 1.83443i) q^{20} +0.140887 q^{21} +(-1.37104 + 7.18460i) q^{22} +(3.69862 + 0.991041i) q^{23} +(2.75368 + 2.99583i) q^{24} +(-4.25638 + 2.62359i) q^{25} +(-4.94329 + 1.25053i) q^{26} +(-3.99820 - 3.99820i) q^{27} +(-0.0777609 - 0.179762i) q^{28} +(-5.00089 + 2.88727i) q^{29} +(3.48612 + 2.92305i) q^{30} +9.73477i q^{31} +(2.30261 - 5.16701i) q^{32} +(7.18712 - 1.92578i) q^{33} +(1.77094 + 0.856256i) q^{34} +(-0.112207 - 0.188045i) q^{35} +(-0.685154 + 1.72981i) q^{36} +(6.06241 + 1.62442i) q^{37} +(2.42904 + 6.97678i) q^{38} +(3.33426 + 3.97355i) q^{39} +(1.80548 - 6.06137i) q^{40} +(-5.83725 - 10.1104i) q^{41} +(-0.130201 + 0.150818i) q^{42} +(1.45375 + 5.42545i) q^{43} +(-6.42400 - 8.10734i) q^{44} +(-0.509413 + 2.01683i) q^{45} +(-4.47897 + 3.04346i) q^{46} +(2.08792 + 2.08792i) q^{47} +(-5.75182 + 0.179188i) q^{48} +(-6.05387 + 3.49520i) q^{49} +(1.12500 - 6.98100i) q^{50} -2.00107i q^{51} +(3.22966 - 6.44743i) q^{52} +(-5.32526 - 5.32526i) q^{53} +(7.97496 - 0.585098i) q^{54} +(-8.29443 - 8.05904i) q^{55} +(0.264296 + 0.0828847i) q^{56} +(5.31405 - 5.31405i) q^{57} +(1.53078 - 8.02167i) q^{58} +(0.0290288 - 0.0502794i) q^{59} +(-6.35078 + 1.03052i) q^{60} +(-4.24055 + 7.34484i) q^{61} +(-10.4210 - 8.99638i) 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} +(-2.55323 + 1.10447i) q^{68} +(4.77070 + 2.75436i) q^{69} +(0.304997 + 0.0536652i) q^{70} +(-2.16646 - 1.25081i) q^{71} +(-1.21856 - 2.33205i) q^{72} +(-2.95321 - 2.95321i) q^{73} +(-7.34150 + 4.98855i) q^{74} +(-6.89169 + 2.06096i) q^{75} +(-9.71337 - 3.84733i) q^{76} +(0.358142 - 0.358142i) q^{77} +(-7.33499 - 0.102857i) q^{78} +2.17146 q^{79} +(4.82010 + 7.53436i) q^{80} +(-2.67187 - 4.62781i) q^{81} +(16.2176 + 3.09481i) q^{82} +(-1.73204 + 1.73204i) q^{83} +(-0.0411245 - 0.278757i) q^{84} +(-2.67088 + 1.59372i) q^{85} +(-7.15137 - 3.45771i) q^{86} +(-8.02447 + 2.15015i) q^{87} +(14.6155 + 0.615567i) q^{88} +(6.10731 - 3.52606i) q^{89} +(-1.68822 - 2.40917i) q^{90} +(0.331799 + 0.120761i) q^{91} +(0.881246 - 7.60730i) q^{92} +(-3.62475 + 13.5277i) q^{93} +(-4.16465 + 0.305548i) q^{94} +(-11.3251 - 2.86049i) q^{95} +(5.12372 - 6.32286i) q^{96} +(2.54897 + 9.51290i) q^{97} +(1.85310 - 9.71070i) 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

L-functions

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