LMFDB - Embedded newform 930.2.bj.a.337.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [930,2,Mod(277,930)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(930, base_ring=CyclotomicField(20))

chi = DirichletCharacter(H, H._module([0, 5, 6]))

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

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

chi := DirichletCharacter("930.277");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 930 = 2 \cdot 3 \cdot 5 \cdot 31 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	930.bj (of order $20$, degree $8$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$7.42608738798$
Analytic rank:	$0$
Dimension:	$128$
Relative dimension:	$16$ over $\Q(\zeta_{20})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label			337.2
Character	$\chi$	$=$	930.337
Dual form			930.2.bj.a.643.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.453990 + 0.891007i) q^{2} +(-0.891007 + 0.453990i) q^{3} +(-0.587785 - 0.809017i) q^{4} +(-1.80883 - 1.31459i) q^{5} -1.00000i q^{6} +(2.31722 + 0.367011i) q^{7} +(0.987688 - 0.156434i) q^{8} +(0.587785 - 0.809017i) q^{9} +O(q^{10})$	\(q+(-0.453990 + 0.891007i) q^{2} +(-0.891007 + 0.453990i) q^{3} +(-0.587785 - 0.809017i) q^{4} +(-1.80883 - 1.31459i) q^{5} -1.00000i q^{6} +(2.31722 + 0.367011i) q^{7} +(0.987688 - 0.156434i) q^{8} +(0.587785 - 0.809017i) q^{9} +(1.99250 - 1.01486i) q^{10} +(0.744195 + 1.02430i) q^{11} +(0.891007 + 0.453990i) q^{12} +(-5.01075 + 2.55310i) q^{13} +(-1.37900 + 1.89804i) q^{14} +(2.20849 + 0.350120i) q^{15} +(-0.309017 + 0.951057i) q^{16} +(5.17691 - 0.819943i) q^{17} +(0.453990 + 0.891007i) q^{18} +(-4.87969 + 1.58551i) q^{19} +(-0.000326349 + 2.23607i) q^{20} +(-2.23127 + 0.724985i) q^{21} +(-1.25051 + 0.198062i) q^{22} +(-1.40890 - 8.89545i) q^{23} +(-0.809017 + 0.587785i) q^{24} +(1.54370 + 4.75573i) q^{25} -5.62370i q^{26} +(-0.156434 + 0.987688i) q^{27} +(-1.06511 - 2.09039i) q^{28} +(-1.51420 - 4.66024i) q^{29} +(-1.31459 + 1.80883i) q^{30} +(-4.79326 - 2.83278i) q^{31} +(-0.707107 - 0.707107i) q^{32} +(-1.12810 - 0.574797i) q^{33} +(-1.61970 + 4.98491i) q^{34} +(-3.70897 - 3.71005i) q^{35} -1.00000 q^{36} +(3.89173 - 3.89173i) q^{37} +(0.802636 - 5.06765i) q^{38} +(3.30553 - 4.54967i) q^{39} +(-1.99220 - 1.01544i) q^{40} +(0.137161 + 0.422137i) q^{41} +(0.367011 - 2.31722i) q^{42} +(-0.178134 + 0.349608i) q^{43} +(0.391246 - 1.20413i) q^{44} +(-2.12673 + 0.690673i) q^{45} +(8.56553 + 2.78311i) q^{46} +(8.36180 - 4.26055i) q^{47} +(-0.156434 - 0.987688i) q^{48} +(-1.42260 - 0.462232i) q^{49} +(-4.93821 - 0.783614i) q^{50} +(-4.24042 + 3.08084i) q^{51} +(5.01075 + 2.55310i) q^{52} +(-1.09328 - 6.90267i) q^{53} +(-0.809017 - 0.587785i) q^{54} +(0.000413190 - 2.83109i) q^{55} +2.34610 q^{56} +(3.62803 - 3.62803i) q^{57} +(4.83974 + 0.766539i) q^{58} +(0.291262 + 0.0946368i) q^{59} +(-1.01486 - 1.99250i) q^{60} -7.94968i q^{61} +(4.70012 - 2.98477i) q^{62} +(1.65894 - 1.65894i) q^{63} +(0.951057 - 0.309017i) q^{64} +(12.4199 + 1.96897i) q^{65} +(1.02430 - 0.744195i) q^{66} +(-7.01045 - 7.01045i) q^{67} +(-3.70626 - 3.70626i) q^{68} +(5.29379 + 7.28628i) q^{69} +(4.98952 - 1.62039i) q^{70} +(-4.93210 - 3.58338i) q^{71} +(0.453990 - 0.891007i) q^{72} +(7.58557 + 1.20144i) q^{73} +(1.70075 + 5.23437i) q^{74} +(-3.53450 - 3.53657i) q^{75} +(4.15092 + 3.01582i) q^{76} +(1.34853 + 2.64664i) q^{77} +(2.55310 + 5.01075i) q^{78} +(-0.299638 - 0.217699i) q^{79} +(1.80921 - 1.31406i) q^{80} +(-0.309017 - 0.951057i) q^{81} +(-0.438396 - 0.0694352i) q^{82} +(2.03181 - 3.98766i) q^{83} +(1.89804 + 1.37900i) q^{84} +(-10.4420 - 5.32240i) q^{85} +(-0.230632 - 0.317438i) q^{86} +(3.46487 + 3.46487i) q^{87} +(0.895268 + 0.895268i) q^{88} +(-4.30192 + 3.12553i) q^{89} +(0.350120 - 2.20849i) q^{90} +(-12.5480 + 4.07709i) q^{91} +(-6.36844 + 6.36844i) q^{92} +(5.55688 + 0.347932i) q^{93} +9.38467i q^{94} +(10.9108 + 3.54690i) q^{95} +(0.951057 + 0.309017i) q^{96} +(-3.77707 - 0.598229i) q^{97} +(1.05770 - 1.05770i) q^{98} +1.26610 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 128 q - 16 q^{7}+O(q^{10}) $ 128 * q - 16 * q^7	$ 128 q - 16 q^{7} - 4 q^{10} + 4 q^{15} + 32 q^{16} - 12 q^{17} - 40 q^{19} + 40 q^{21} + 16 q^{22} - 32 q^{24} - 8 q^{25} - 4 q^{28} + 8 q^{29} + 20 q^{31} + 4 q^{33} + 24 q^{35} - 128 q^{36} + 64 q^{37} - 16 q^{38} - 24 q^{41} + 4 q^{42} + 24 q^{43} - 8 q^{44} + 20 q^{46} + 108 q^{47} - 100 q^{49} - 24 q^{50} + 16 q^{53} - 32 q^{54} + 12 q^{55} + 16 q^{57} - 40 q^{58} - 16 q^{62} - 4 q^{63} + 36 q^{65} - 12 q^{66} - 32 q^{67} + 8 q^{68} - 32 q^{70} + 24 q^{71} + 60 q^{73} - 16 q^{74} + 24 q^{75} - 24 q^{76} - 20 q^{77} - 56 q^{79} + 32 q^{81} - 16 q^{82} - 8 q^{83} - 132 q^{85} - 20 q^{87} - 4 q^{88} + 136 q^{89} - 40 q^{91} - 64 q^{93} + 108 q^{95} + 64 q^{97} - 16 q^{98} - 8 q^{99}+O(q^{100}) $ 128 * q - 16 * q^7 - 4 * q^10 + 4 * q^15 + 32 * q^16 - 12 * q^17 - 40 * q^19 + 40 * q^21 + 16 * q^22 - 32 * q^24 - 8 * q^25 - 4 * q^28 + 8 * q^29 + 20 * q^31 + 4 * q^33 + 24 * q^35 - 128 * q^36 + 64 * q^37 - 16 * q^38 - 24 * q^41 + 4 * q^42 + 24 * q^43 - 8 * q^44 + 20 * q^46 + 108 * q^47 - 100 * q^49 - 24 * q^50 + 16 * q^53 - 32 * q^54 + 12 * q^55 + 16 * q^57 - 40 * q^58 - 16 * q^62 - 4 * q^63 + 36 * q^65 - 12 * q^66 - 32 * q^67 + 8 * q^68 - 32 * q^70 + 24 * q^71 + 60 * q^73 - 16 * q^74 + 24 * q^75 - 24 * q^76 - 20 * q^77 - 56 * q^79 + 32 * q^81 - 16 * q^82 - 8 * q^83 - 132 * q^85 - 20 * q^87 - 4 * q^88 + 136 * q^89 - 40 * q^91 - 64 * q^93 + 108 * q^95 + 64 * q^97 - 16 * q^98 - 8 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/930\mathbb{Z}\right)^\times$.

$n$	$187$	$311$	$871$
$\chi(n)$	$e\left(\frac{1}{4}\right)$	$1$	$e\left(\frac{1}{10}\right)$

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 $

$2$	−0.453990	+	0.891007i	−0.321020	+	0.630037i
$2$	−0.453990	+	0.891007i	−0.321020	+	0.630037i
$3$	−0.891007	+	0.453990i	−0.514423	+	0.262112i
$3$	−0.891007	+	0.453990i	−0.514423	+	0.262112i
$4$	−0.587785	−	0.809017i	−0.293893	−	0.404508i
$5$	−1.80883	−	1.31459i	−0.808931	−	0.587903i
$5$	−1.80883	−	1.31459i	−0.808931	−	0.587903i
$6$		−	1.00000i		−	0.408248i
$7$	2.31722	+	0.367011i	0.875825	+	0.138717i	0.578131	−	0.815944i	$-0.303782\pi$
$7$	2.31722	+	0.367011i	0.875825	+	0.138717i	0.297695	+	0.954661i	$0.403782\pi$
$8$	0.987688	−	0.156434i	0.349201	−	0.0553079i
$9$	0.587785	−	0.809017i	0.195928	−	0.269672i
$10$	1.99250	−	1.01486i	0.630084	−	0.320928i
$11$	0.744195	+	1.02430i	0.224383	+	0.308837i	0.906335	−	0.422560i	$-0.138869\pi$
$11$	0.744195	+	1.02430i	0.224383	+	0.308837i	−0.681952	+	0.731397i	$0.738869\pi$
$12$	0.891007	+	0.453990i	0.257211	+	0.131056i
$13$	−5.01075	+	2.55310i	−1.38973	+	0.708104i	−0.979040	−	0.203670i	$-0.934713\pi$
$13$	−5.01075	+	2.55310i	−1.38973	+	0.708104i	−0.410692	+	0.911774i	$0.634713\pi$
$14$	−1.37900	+	1.89804i	−0.368554	+	0.507271i
$15$	2.20849	+	0.350120i	0.570229	+	0.0904007i
$16$	−0.309017	+	0.951057i	−0.0772542	+	0.237764i
$17$	5.17691	−	0.819943i	1.25559	−	0.198865i	0.507025	−	0.861931i	$-0.330745\pi$
$17$	5.17691	−	0.819943i	1.25559	−	0.198865i	0.748561	+	0.663066i	$0.230745\pi$
$18$	0.453990	+	0.891007i	0.107007	+	0.210012i
$19$	−4.87969	+	1.58551i	−1.11948	+	0.363741i	−0.809569	−	0.587025i	$-0.800299\pi$
$19$	−4.87969	+	1.58551i	−1.11948	+	0.363741i	−0.309910	+	0.950766i	$0.600299\pi$
$20$	−0.000326349		2.23607i	−7.29738e−5		0.500000i
$21$	−2.23127	+	0.724985i	−0.486904	+	0.158205i
$22$	−1.25051	+	0.198062i	−0.266610	+	0.0422269i
$23$	−1.40890	−	8.89545i	−0.293776	−	1.85483i	−0.486638	−	0.873604i	$-0.661777\pi$
$23$	−1.40890	−	8.89545i	−0.293776	−	1.85483i	0.192862	−	0.981226i	$-0.438223\pi$
$24$	−0.809017	+	0.587785i	−0.165140	+	0.119981i
$25$	1.54370	+	4.75573i	0.308739	+	0.951147i
$26$		−	5.62370i		−	1.10290i
$27$	−0.156434	+	0.987688i	−0.0301058	+	0.190081i
$28$	−1.06511	−	2.09039i	−0.201286	−	0.395047i
$29$	−1.51420	−	4.66024i	−0.281180	−	0.865385i	−0.987518	−	0.157509i	$-0.949654\pi$
$29$	−1.51420	−	4.66024i	−0.281180	−	0.865385i	0.706337	−	0.707876i	$-0.250346\pi$
$30$	−1.31459	+	1.80883i	−0.240011	+	0.330245i
$31$	−4.79326	−	2.83278i	−0.860895	−	0.508783i
$31$	−4.79326	−	2.83278i	−0.860895	−	0.508783i
$32$	−0.707107	−	0.707107i	−0.125000	−	0.125000i
$33$	−1.12810	−	0.574797i	−0.196378	−	0.100059i
$34$	−1.61970	+	4.98491i	−0.277775	+	0.854905i
$35$	−3.70897	−	3.71005i	−0.626930	−	0.627113i
$36$	−1.00000			−0.166667
$37$	3.89173	−	3.89173i	0.639797	−	0.639797i	−0.310708	−	0.950505i	$-0.600566\pi$
$37$	3.89173	−	3.89173i	0.639797	−	0.639797i	0.950505	+	0.310708i	$0.100566\pi$
$38$	0.802636	−	5.06765i	0.130205	−	0.822081i
$39$	3.30553	−	4.54967i	0.529308	−	0.728530i
$40$	−1.99220	−	1.01544i	−0.314995	−	0.160556i
$41$	0.137161	+	0.422137i	0.0214209	+	0.0659267i	0.961196	−	0.275868i	$-0.0889653\pi$
$41$	0.137161	+	0.422137i	0.0214209	+	0.0659267i	−0.939775	+	0.341795i	$0.888965\pi$
$42$	0.367011	−	2.31722i	0.0566310	−	0.357554i
$43$	−0.178134	+	0.349608i	−0.0271652	+	0.0533148i	−0.904190	−	0.427130i	$-0.859525\pi$
$43$	−0.178134	+	0.349608i	−0.0271652	+	0.0533148i	0.877025	+	0.480445i	$0.159525\pi$
$44$	0.391246	−	1.20413i	0.0589826	−	0.181530i
$45$	−2.12673	+	0.690673i	−0.317034	+	0.102959i
$46$	8.56553	+	2.78311i	1.26292	+	0.410347i
$47$	8.36180	−	4.26055i	1.21969	−	0.621465i	0.278860	−	0.960332i	$-0.410044\pi$
$47$	8.36180	−	4.26055i	1.21969	−	0.621465i	0.940834	+	0.338867i	$0.110044\pi$
$48$	−0.156434	−	0.987688i	−0.0225794	−	0.142561i
$49$	−1.42260	−	0.462232i	−0.203229	−	0.0660331i
$50$	−4.93821	−	0.783614i	−0.698369	−	0.110820i
$51$	−4.24042	+	3.08084i	−0.593777	+	0.431404i
$52$	5.01075	+	2.55310i	0.694866	+	0.354052i
$53$	−1.09328	−	6.90267i	−0.150173	−	0.948155i	−0.941561	−	0.336841i	$-0.890641\pi$
$53$	−1.09328	−	6.90267i	−0.150173	−	0.948155i	0.791388	−	0.611314i	$-0.209359\pi$
$54$	−0.809017	−	0.587785i	−0.110093	−	0.0799874i
$55$	0.000413190	−	2.83109i	5.57146e−5	−	0.381744i
$56$	2.34610			0.313511
$57$	3.62803	−	3.62803i	0.480545	−	0.480545i
$58$	4.83974	+	0.766539i	0.635489	+	0.100651i
$59$	0.291262	+	0.0946368i	0.0379191	+	0.0123207i	0.327915	−	0.944707i	$-0.393654\pi$
$59$	0.291262	+	0.0946368i	0.0379191	+	0.0123207i	−0.289996	+	0.957028i	$0.593654\pi$
$60$	−1.01486	−	1.99250i	−0.131018	−	0.257231i
$61$		−	7.94968i		−	1.01785i	−0.860810	−	0.508926i	$-0.830043\pi$
$61$		−	7.94968i		−	1.01785i	0.860810	−	0.508926i	$-0.169957\pi$
$62$	4.70012	−	2.98477i	0.596916	−	0.379066i
$63$	1.65894	−	1.65894i	0.209007	−	0.209007i
$64$	0.951057	−	0.309017i	0.118882	−	0.0386271i
$65$	12.4199	+	1.96897i	1.54049	+	0.244221i
$66$	1.02430	−	0.744195i	0.126082	−	0.0916041i
$67$	−7.01045	−	7.01045i	−0.856463	−	0.856463i	0.134457	−	0.990919i	$-0.457071\pi$
$67$	−7.01045	−	7.01045i	−0.856463	−	0.856463i	−0.990919	+	0.134457i	$0.957071\pi$
$68$	−3.70626	−	3.70626i	−0.449450	−	0.449450i
$69$	5.29379	+	7.28628i	0.637297	+	0.877165i
$70$	4.98952	−	1.62039i	0.596361	−	0.193673i
$71$	−4.93210	−	3.58338i	−0.585333	−	0.425269i	0.255310	−	0.966859i	$-0.417823\pi$
$71$	−4.93210	−	3.58338i	−0.585333	−	0.425269i	−0.840643	+	0.541590i	$0.817823\pi$
$72$	0.453990	−	0.891007i	0.0535033	−	0.105006i
$73$	7.58557	+	1.20144i	0.887824	+	0.140617i	0.583656	−	0.812001i	$-0.301622\pi$
$73$	7.58557	+	1.20144i	0.887824	+	0.140617i	0.304168	+	0.952618i	$0.401622\pi$
$74$	1.70075	+	5.23437i	0.197708	+	0.608483i
$75$	−3.53450	−	3.53657i	−0.408129	−	0.408367i
$76$	4.15092	+	3.01582i	0.476143	+	0.345938i
$77$	1.34853	+	2.64664i	0.153680	+	0.301613i
$78$	2.55310	+	5.01075i	0.289082	+	0.567356i
$79$	−0.299638	−	0.217699i	−0.0337119	−	0.0244931i	0.570802	−	0.821088i	$-0.306632\pi$
$79$	−0.299638	−	0.217699i	−0.0337119	−	0.0244931i	−0.604514	+	0.796595i	$0.706632\pi$
$80$	1.80921	−	1.31406i	0.202276	−	0.146917i
$81$	−0.309017	−	0.951057i	−0.0343352	−	0.105673i
$82$	−0.438396	−	0.0694352i	−0.0484128	−	0.00766783i
$83$	2.03181	−	3.98766i	0.223020	−	0.437702i	−0.752201	−	0.658934i	$-0.771008\pi$
$83$	2.03181	−	3.98766i	0.223020	−	0.437702i	0.975221	+	0.221232i	$0.0710077\pi$
$84$	1.89804	+	1.37900i	0.207093	+	0.150462i
$85$	−10.4420	−	5.32240i	−1.13260	−	0.577295i
$86$	−0.230632	−	0.317438i	−0.0248697	−	0.0342302i
$87$	3.46487	+	3.46487i	0.371473	+	0.371473i
$88$	0.895268	+	0.895268i	0.0954359	+	0.0954359i
$89$	−4.30192	+	3.12553i	−0.456002	+	0.331305i	−0.791961	−	0.610572i	$-0.790940\pi$
$89$	−4.30192	+	3.12553i	−0.456002	+	0.331305i	0.335959	+	0.941877i	$0.390940\pi$
$90$	0.350120	−	2.20849i	0.0369059	−	0.232795i
$91$	−12.5480	+	4.07709i	−1.31539	+	0.427396i
$92$	−6.36844	+	6.36844i	−0.663956	+	0.663956i
$93$	5.55688	+	0.347932i	0.576222	+	0.0360788i
$94$			9.38467i			0.967955i
$95$	10.9108	+	3.54690i	1.11943	+	0.363904i
$96$	0.951057	+	0.309017i	0.0970668	+	0.0315389i
$97$	−3.77707	−	0.598229i	−0.383503	−	0.0607410i	−0.0382936	−	0.999267i	$-0.512192\pi$
$97$	−3.77707	−	0.598229i	−0.383503	−	0.0607410i	−0.345210	+	0.938526i	$0.612192\pi$
$98$	1.05770	−	1.05770i	0.106844	−	0.106844i
$99$	1.26610			0.127248
$100$	2.94011	−	4.04423i	0.294011	−	0.404423i
$101$	2.48939	+	1.80865i	0.247703	+	0.179967i	0.704708	−	0.709497i	$-0.251078\pi$
$101$	2.48939	+	1.80865i	0.247703	+	0.179967i	−0.457005	+	0.889464i	$0.651078\pi$
$102$	−0.819943	−	5.17691i	−0.0811864	−	0.512591i
$103$	−2.75749	−	1.40501i	−0.271704	−	0.138440i	0.312831	−	0.949809i	$-0.398723\pi$
$103$	−2.75749	−	1.40501i	−0.271704	−	0.138440i	−0.584534	+	0.811369i	$0.698723\pi$
$104$	−4.54967	+	3.30553i	−0.446131	+	0.324133i
$105$	4.98904	+	1.62184i	0.486881	+	0.158276i
$106$	6.64666	+	2.15963i	0.645581	+	0.209762i
$107$	−0.669267	−	4.22559i	−0.0647005	−	0.408503i	−0.998688	−	0.0511985i	$-0.983696\pi$
$107$	−0.669267	−	4.22559i	−0.0647005	−	0.408503i	0.933988	−	0.357304i	$-0.116304\pi$
$108$	0.891007	−	0.453990i	0.0857371	−	0.0436853i
$109$	−1.96870	−	0.639671i	−0.188568	−	0.0612693i	0.213211	−	0.977006i	$-0.431608\pi$
$109$	−1.96870	−	0.639671i	−0.188568	−	0.0612693i	−0.401779	+	0.915737i	$0.631608\pi$
$110$	2.52233	+	1.28565i	0.240495	+	0.122582i
$111$	−1.70075	+	5.23437i	−0.161428	+	0.496824i
$112$	−1.06511	+	2.09039i	−0.100643	+	0.197523i
$113$	−0.478061	+	3.01836i	−0.0449722	+	0.283943i	−0.999918	−	0.0128383i	$-0.995913\pi$
$113$	−0.478061	+	3.01836i	−0.0449722	+	0.283943i	0.954945	+	0.296782i	$0.0959133\pi$
$114$	1.58551	+	4.87969i	0.148496	+	0.457025i
$115$	−9.14543	+	17.9424i	−0.852816	+	1.67314i
$116$	−2.88019	+	3.96424i	−0.267419	+	0.368070i
$117$	−0.879740	+	5.55446i	−0.0813320	+	0.513510i
$118$	−0.216552	+	0.216552i	−0.0199353	+	0.0199353i
$119$	12.2970			1.12726
$120$	2.23607		0.000326349i	0.204124		2.97914e-5i
$121$	2.90383	−	8.93707i	0.263985	−	0.812461i
$122$	7.08322	+	3.60908i	0.641285	+	0.326751i
$123$	−0.313857	−	0.313857i	−0.0282996	−	0.0282996i
$124$	0.525640	+	5.54290i	0.0472039	+	0.497767i
$125$	3.45957	−	10.6316i	0.309433	−	0.950921i
$126$	0.724985	+	2.23127i	0.0645868	+	0.198778i
$127$	1.90525	+	3.73927i	0.169064	+	0.331807i	0.959957	−	0.280148i	$-0.0903835\pi$
$127$	1.90525	+	3.73927i	0.169064	+	0.331807i	−0.790893	+	0.611955i	$0.790383\pi$
$128$	−0.156434	+	0.987688i	−0.0138270	+	0.0873001i
$129$		−	0.392375i		−	0.0345467i
$130$	−7.39286	+	10.1723i	−0.648397	+	0.892168i
$131$	−16.4176	+	11.9281i	−1.43441	+	1.04216i	−0.445234	+	0.895414i	$0.646880\pi$
$131$	−16.4176	+	11.9281i	−1.43441	+	1.04216i	−0.989174	+	0.146745i	$0.953120\pi$
$132$	0.198062	+	1.25051i	0.0172391	+	0.108843i
$133$	−11.8892	+	1.88306i	−1.03092	+	0.163282i
$134$	9.42903	−	3.06368i	0.814545	−	0.264662i
$135$	1.58137	−	1.58091i	0.136103	−	0.136063i
$136$	4.98491	−	1.61970i	0.427453	−	0.138888i
$137$	−5.14406	−	10.0958i	−0.439487	−	0.862541i	−0.999422	−	0.0340046i	$-0.989174\pi$
$137$	−5.14406	−	10.0958i	−0.439487	−	0.862541i	0.559935	−	0.828537i	$-0.310826\pi$
$138$	−8.89545	+	1.40890i	−0.757231	+	0.119934i
$139$	0.391620	−	1.20528i	0.0332168	−	0.102231i	−0.933074	−	0.359686i	$-0.882884\pi$
$139$	0.391620	−	1.20528i	0.0332168	−	0.102231i	0.966290	+	0.257455i	$0.0828839\pi$
$140$	−0.821418	+	5.18133i	−0.0694225	+	0.437903i
$141$	−5.51617	+	7.59236i	−0.464545	+	0.639392i
$142$	5.43195	−	2.76771i	0.455839	−	0.232261i
$143$	−6.34411	−	3.23249i	−0.530521	−	0.270314i
$144$	0.587785	+	0.809017i	0.0489821	+	0.0674181i
$145$	−3.38738	+	10.4201i	−0.281307	+	0.865343i
$146$	−4.51426	+	6.21335i	−0.373603	+	0.514221i
$147$	1.47740	−	0.233997i	0.121854	−	0.0192997i
$148$	−5.43598	−	0.860975i	−0.446835	−	0.0707717i
$149$		−	19.5037i		−	1.59780i	−0.601461	−	0.798902i	$-0.705414\pi$
$149$		−	19.5037i		−	1.59780i	0.601461	−	0.798902i	$-0.294586\pi$
$150$	4.75573	−	1.54370i	0.388304	−	0.126042i
$151$	5.85491	+	8.05859i	0.476466	+	0.655799i	0.977821	−	0.209443i	$-0.0671649\pi$
$151$	5.85491	+	8.05859i	0.476466	+	0.655799i	−0.501355	+	0.865242i	$0.667165\pi$
$152$	−4.57159	+	2.32934i	−0.370805	+	0.188934i
$153$	2.37957	−	4.67016i	0.192377	−	0.377560i
$154$	−2.97040			−0.239362
$155$	4.94622	+	11.4252i	0.397290	+	0.917693i
$156$	−5.62370			−0.450256
$157$	6.02314	−	11.8211i	0.480699	−	0.943425i	−0.515547	−	0.856861i	$-0.672411\pi$
$157$	6.02314	−	11.8211i	0.480699	−	0.943425i	0.996246	−	0.0865637i	$-0.0275886\pi$
$158$	0.330004	−	0.168146i	0.0262537	−	0.0133769i
$159$	4.10786	+	5.65399i	0.325775	+	0.448390i
$160$	0.349476	+	2.20859i	0.0276285	+	0.174604i
$161$		−	21.1298i		−	1.66526i
$162$	0.987688	+	0.156434i	0.0776001	+	0.0122907i
$163$	10.1625	−	1.60958i	0.795985	−	0.126072i	0.254821	−	0.966988i	$-0.417984\pi$
$163$	10.1625	−	1.60958i	0.795985	−	0.126072i	0.541165	+	0.840917i	$0.317984\pi$
$164$	0.260895	−	0.359091i	0.0203725	−	0.0280403i
$165$	1.28492	+	2.52270i	0.100031	+	0.196392i
$166$	2.63060	+	3.62072i	0.204175	+	0.281022i
$167$	−8.87827	−	4.52370i	−0.687021	−	0.350055i	0.0753844	−	0.997155i	$-0.475982\pi$
$167$	−8.87827	−	4.52370i	−0.687021	−	0.350055i	−0.762405	+	0.647100i	$0.775982\pi$
$168$	−2.09039	+	1.06511i	−0.161277	+	0.0821748i
$169$	10.9481	−	15.0687i	0.842159	−	1.15913i
$170$	9.48287	−	6.88759i	0.727303	−	0.528254i
$171$	−1.58551	+	4.87969i	−0.121247	+	0.373160i
$172$	0.387544	−	0.0613809i	0.0295499	−	0.00468025i
$173$	−11.0236	−	21.6350i	−0.838109	−	1.64488i	−0.761814	−	0.647796i	$-0.775691\pi$
$173$	−11.0236	−	21.6350i	−0.838109	−	1.64488i	−0.0762951	−	0.997085i	$-0.524309\pi$
$174$	−4.66024	+	1.51420i	−0.353292	+	0.114791i
$175$	1.83167	+	11.5866i	0.138461	+	0.875866i
$176$	−1.20413	+	0.391246i	−0.0907649	+	0.0294913i
$177$	−0.302481	+	0.0479082i	−0.0227358	+	0.00360100i
$178$	−0.831834	−	5.25200i	−0.0623486	−	0.393654i
$179$	−12.0686	+	8.76832i	−0.902047	+	0.655375i	−0.938991	−	0.343942i	$-0.888238\pi$
$179$	−12.0686	+	8.76832i	−0.902047	+	0.655375i	0.0369442	+	0.999317i	$0.488238\pi$
$180$	1.80883	+	1.31459i	0.134822	+	0.0979839i
$181$			19.2387i			1.43000i	0.699125	+	0.715000i	$0.253573\pi$
$181$			19.2387i			1.43000i	−0.699125	+	0.715000i	$0.746427\pi$
$182$	2.06396	−	13.0313i	0.152991	−	0.965946i
$183$	3.60908	+	7.08322i	0.266791	+	0.523607i
$184$	−2.78311	−	8.56553i	−0.205174	−	0.631459i
$185$	−12.1555	+	1.92342i	−0.893690	+	0.141413i
$186$	−2.83278	+	4.79326i	−0.207710	+	0.351459i
$187$	4.69250	+	4.69250i	0.343149	+	0.343149i
$188$	−8.36180	−	4.26055i	−0.609847	−	0.310733i
$189$	−0.724985	+	2.23127i	−0.0527349	+	0.162301i
$190$	−8.11371	+	8.11135i	−0.588631	+	0.588459i
$191$	8.42291			0.609460			0.304730	−	0.952439i	$-0.401434\pi$
$191$	8.42291			0.609460			0.304730	+	0.952439i	$0.401434\pi$
$192$	−0.707107	+	0.707107i	−0.0510310	+	0.0510310i
$193$	3.02393	−	19.0923i	0.217667	−	1.37430i	−0.600642	−	0.799518i	$-0.705088\pi$
$193$	3.02393	−	19.0923i	0.217667	−	1.37430i	0.818309	−	0.574778i	$-0.194912\pi$
$194$	2.24778	−	3.09380i	0.161381	−	0.222122i
$195$	−11.9601	+	3.88413i	−0.856478	+	0.278149i
$196$	0.462232	+	1.42260i	0.0330165	+	0.101614i
$197$	−2.68026	+	16.9225i	−0.190961	+	1.20568i	0.686896	+	0.726756i	$0.258973\pi$
$197$	−2.68026	+	16.9225i	−0.190961	+	1.20568i	−0.877857	+	0.478923i	$0.841027\pi$
$198$	−0.574797	+	1.12810i	−0.0408491	+	0.0801708i
$199$	−7.20931	+	22.1880i	−0.511055	+	1.57286i	0.279293	+	0.960206i	$0.409900\pi$
$199$	−7.20931	+	22.1880i	−0.511055	+	1.57286i	−0.790348	+	0.612658i	$0.790100\pi$
$200$	2.26865	+	4.45570i	0.160418	+	0.315065i
$201$	9.42903	+	3.06368i	0.665073	+	0.216095i
$202$	−2.74167	+	1.39695i	−0.192903	+	0.0982892i
$203$	−1.79838	−	11.3545i	−0.126221	−	0.796930i
$204$	4.98491	+	1.61970i	0.349014	+	0.113401i
$205$	0.306838	−	0.943882i	0.0214305	−	0.0659236i
$206$	2.50375	−	1.81908i	0.174445	−	0.126741i
$207$	−8.02470	−	4.08879i	−0.557755	−	0.284191i
$208$	−0.879740	−	5.55446i	−0.0609990	−	0.385132i
$209$	−5.25548	−	3.81833i	−0.363529	−	0.264119i
$210$	−3.71005	+	3.70897i	−0.256018	+	0.255943i
$211$	−21.6073			−1.48751			−0.743754	−	0.668454i	$-0.766956\pi$
$211$	−21.6073			−1.48751			−0.743754	+	0.668454i	$0.766956\pi$
$212$	−4.94177	+	4.94177i	−0.339402	+	0.339402i
$213$	6.02136	+	0.953690i	0.412577	+	0.0653457i
$214$	4.06887	+	1.32205i	0.278142	+	0.0903738i
$215$	0.781806	−	0.398207i	0.0533187	−	0.0271575i
$216$			1.00000i			0.0680414i
$217$	−10.0674	−	8.32335i	−0.683417	−	0.565025i
$218$	1.46372	−	1.46372i	0.0991359	−	0.0991359i
$219$	−7.30423	+	2.37329i	−0.493574	+	0.160372i
$220$	−2.29064	+	1.66374i	−0.154435	+	0.112169i
$221$	−23.8468	+	17.3257i	−1.60411	+	1.16545i
$222$	−3.89173	−	3.89173i	−0.261196	−	0.261196i
$223$	9.21043	+	9.21043i	0.616776	+	0.616776i	0.944703	−	0.327927i	$-0.106350\pi$
$223$	9.21043	+	9.21043i	0.616776	+	0.616776i	−0.327927	+	0.944703i	$0.606350\pi$
$224$	−1.37900	−	1.89804i	−0.0921385	−	0.126818i
$225$	4.75483	+	1.54647i	0.316989	+	0.103098i
$226$	−2.47234	−	1.79626i	−0.164458	−	0.119486i
$227$	−10.5518	+	20.7091i	−0.700348	+	1.37451i	0.216900	+	0.976194i	$0.430406\pi$
$227$	−10.5518	+	20.7091i	−0.700348	+	1.37451i	−0.917248	+	0.398317i	$0.869594\pi$
$228$	−5.06765	−	0.802636i	−0.335613	−	0.0531559i
$229$	5.87681	+	18.0870i	0.388350	+	1.19522i	0.934020	+	0.357220i	$0.116275\pi$
$229$	5.87681	+	18.0870i	0.388350	+	1.19522i	−0.545670	+	0.838000i	$0.683725\pi$
$230$	−11.8349	−	16.2943i	−0.780370	−	1.07442i
$231$	−2.40310	−	1.74596i	−0.158113	−	0.114875i
$232$	−2.22458	−	4.36599i	−0.146051	−	0.286641i
$233$	6.62483	+	13.0020i	0.434007	+	0.851786i	0.999632	+	0.0271239i	$0.00863485\pi$
$233$	6.62483	+	13.0020i	0.434007	+	0.851786i	−0.565625	+	0.824662i	$0.691365\pi$
$234$	−4.54967	−	3.30553i	−0.297421	−	0.216089i
$235$	−20.7259	−	3.28576i	−1.35201	−	0.214340i
$236$	−0.0946368	−	0.291262i	−0.00616033	−	0.0189596i
$237$	0.365812	+	0.0579390i	0.0237621	+	0.00376354i
$238$	−5.58270	+	10.9567i	−0.361873	+	0.710215i
$239$	15.2952	+	11.1126i	0.989363	+	0.718814i	0.959781	−	0.280748i	$-0.0905825\pi$
$239$	15.2952	+	11.1126i	0.989363	+	0.718814i	0.0295815	+	0.999562i	$0.490583\pi$
$240$	−1.01544	+	1.99220i	−0.0655467	+	0.128596i
$241$	2.61099	+	3.59372i	0.168189	+	0.231492i	0.884789	−	0.465993i	$-0.154303\pi$
$241$	2.61099	+	3.59372i	0.168189	+	0.231492i	−0.716600	+	0.697484i	$0.754303\pi$
$242$	6.64468	+	6.64468i	0.427136	+	0.427136i
$243$	0.707107	+	0.707107i	0.0453609	+	0.0453609i
$244$	−6.43143	+	4.67271i	−0.411730	+	0.299139i
$245$	1.96559	+	2.70624i	0.125577	+	0.172895i
$246$	0.422137	−	0.137161i	0.0269145	−	0.00874504i
$247$	20.4030	−	20.4030i	1.29821	−	1.29821i
$248$	−5.17739	−	2.04807i	−0.328765	−	0.130053i
$249$			4.47545i			0.283620i
$250$	7.90223	+	7.90915i	0.499781	+	0.500219i
$251$	23.2616	+	7.55815i	1.46826	+	0.477066i	0.930581	−	0.366085i	$-0.119302\pi$
$251$	23.2616	+	7.55815i	1.46826	+	0.477066i	0.537677	+	0.843151i	$0.319302\pi$
$252$	−2.31722	−	0.367011i	−0.145971	−	0.0231195i
$253$	8.06308	−	8.06308i	0.506922	−	0.506922i
$254$	−4.19668			−0.263323
$255$	11.7202	+	0.00171054i	0.733949	+	0.000107118i
$256$	−0.809017	−	0.587785i	−0.0505636	−	0.0367366i
$257$	0.00515549	+	0.0325505i	0.000321591	+	0.00203044i	0.987849	−	0.155419i	$-0.0496728\pi$
$257$	0.00515549	+	0.0325505i	0.000321591	+	0.00203044i	−0.987527	+	0.157450i	$0.949673\pi$
$258$	0.349608	+	0.178134i	0.0217657	+	0.0110902i
$259$	10.4463	−	7.58968i	0.649101	−	0.471600i
$260$	−5.70728	−	11.2052i	−0.353950	−	0.694918i
$261$	−4.66024	−	1.51420i	−0.288462	−	0.0937268i
$262$	−3.17456	−	20.0434i	−0.196125	−	1.23828i
$263$	−11.7219	+	5.97261i	−0.722804	+	0.368287i	−0.776370	−	0.630277i	$-0.782941\pi$
$263$	−11.7219	+	5.97261i	−0.722804	+	0.368287i	0.0535660	+	0.998564i	$0.482941\pi$
$264$	−1.20413	−	0.391246i	−0.0741093	−	0.0240796i
$265$	−7.09665	+	13.9229i	−0.435944	+	0.855279i
$266$	3.71976	−	11.4483i	0.228073	−	0.701937i
$267$	2.41408	−	4.73789i	0.147739	−	0.289954i
$268$	−1.55093	+	9.79221i	−0.0947384	+	0.598155i
$269$	−5.13838	−	15.8143i	−0.313292	−	0.964215i	−0.976452	−	0.215737i	$-0.930785\pi$
$269$	−5.13838	−	15.8143i	−0.313292	−	0.964215i	0.663159	−	0.748478i	$-0.269215\pi$
$270$	0.690673	+	2.12673i	0.0420330	+	0.129429i
$271$	−4.00387	+	5.51086i	−0.243218	+	0.334761i	−0.913122	−	0.407687i	$-0.866335\pi$
$271$	−4.00387	+	5.51086i	−0.243218	+	0.334761i	0.669904	+	0.742448i	$0.266335\pi$
$272$	−0.819943	+	5.17691i	−0.0497163	+	0.313897i
$273$	9.32939	−	9.32939i	0.564641	−	0.564641i
$274$	11.3308			0.684516
$275$	−3.72247	+	5.12040i	−0.224473	+	0.308772i
$276$	2.78311	−	8.56553i	0.167524	−	0.515584i
$277$	23.2436	+	11.8432i	1.39657	+	0.711588i	0.980274	−	0.197641i	$-0.0633281\pi$
$277$	23.2436	+	11.8432i	1.39657	+	0.711588i	0.416296	+	0.909229i	$0.363328\pi$
$278$	0.896122	+	0.896122i	0.0537459	+	0.0537459i
$279$	−5.10918	+	2.21276i	−0.305878	+	0.132475i
$280$	−4.24369	−	3.08416i	−0.253609	−	0.184314i
$281$	−7.20538	−	22.1759i	−0.429837	−	1.32290i	−0.898286	−	0.439412i	$-0.855187\pi$
$281$	−7.20538	−	22.1759i	−0.429837	−	1.32290i	0.468449	−	0.883491i	$-0.344813\pi$
$282$	−4.26055	−	8.36180i	−0.253712	−	0.497938i
$283$	−1.83537	+	11.5880i	−0.109101	+	0.688838i	0.871141	+	0.491034i	$0.163381\pi$
$283$	−1.83537	+	11.5880i	−0.109101	+	0.688838i	−0.980242	+	0.197804i	$0.936619\pi$
$284$			6.09642i			0.361756i
$285$	−11.3319	+	1.79310i	−0.671241	+	0.106214i
$286$	5.76033	−	4.18513i	0.340616	−	0.247472i
$287$	0.162902	+	1.02852i	0.00961580	+	0.0607117i
$288$	−0.987688	+	0.156434i	−0.0582001	+	0.00921799i
$289$	9.96017	−	3.23626i	0.585893	−	0.190368i
$290$	−7.74655	−	7.74881i	−0.454893	−	0.455026i
$291$	3.63698	−	1.18173i	0.213204	−	0.0692741i
$292$	−3.48670	−	6.84304i	−0.204044	−	0.400459i
$293$	25.1979	−	3.99096i	1.47208	−	0.233154i	0.631725	−	0.775192i	$-0.282347\pi$
$293$	25.1979	−	3.99096i	1.47208	−	0.233154i	0.840354	+	0.542038i	$0.182347\pi$
$294$	−0.462232	+	1.42260i	−0.0269579	+	0.0829679i
$295$	−0.402434	−	0.554072i	−0.0234306	−	0.0322593i
$296$	3.23502	−	4.45262i	0.188032	−	0.258803i
$297$	−1.12810	+	0.574797i	−0.0654592	+	0.0333531i
$298$	17.3779	+	8.85449i	1.00668	+	0.512927i
$299$	29.7707	+	40.9758i	1.72168	+	2.36969i
$300$	−0.783614	+	4.93821i	−0.0452420	+	0.285108i
$301$	−0.541086	+	0.744741i	−0.0311877	+	0.0429262i
$302$	−9.83833	+	1.55824i	−0.566133	+	0.0896666i
$303$	−3.03917	−	0.481357i	−0.174596	−	0.0276532i
$304$		−	5.13081i		−	0.294272i
$305$	−10.4506	+	14.3796i	−0.598399	+	0.823373i
$306$	3.08084	+	4.24042i	0.176120	+	0.242409i
$307$	19.0636	−	9.71340i	1.08802	−	0.554373i	0.184461	−	0.982840i	$-0.440946\pi$
$307$	19.0636	−	9.71340i	1.08802	−	0.554373i	0.903558	+	0.428467i	$0.140946\pi$
$308$	1.34853	−	2.64664i	0.0768398	−	0.150807i
$309$	3.09481			0.176057
$310$	−12.4255	−	0.779812i	−0.705718	−	0.0442904i
$311$	−15.0136			−0.851343			−0.425672	−	0.904878i	$-0.639962\pi$
$311$	−15.0136			−0.851343			−0.425672	+	0.904878i	$0.639962\pi$
$312$	2.55310	−	5.01075i	0.144541	−	0.283678i
$313$	−20.2575	+	10.3217i	−1.14502	+	0.583416i	−0.920380	−	0.391026i	$-0.872120\pi$
$313$	−20.2575	+	10.3217i	−1.14502	+	0.583416i	−0.224639	+	0.974442i	$0.572120\pi$
$314$	7.79821	+	10.7333i	0.440078	+	0.605716i
$315$	−5.18157	+	0.819905i	−0.291949	+	0.0461964i
$316$			0.370372i			0.0208351i
$317$	−1.57060	−	0.248759i	−0.0882139	−	0.0139717i	0.112171	−	0.993689i	$-0.464219\pi$
$317$	−1.57060	−	0.248759i	−0.0882139	−	0.0139717i	−0.200385	+	0.979717i	$0.564219\pi$
$318$	−6.90267	+	1.09328i	−0.387083	+	0.0613079i
$319$	3.64660	−	5.01912i	0.204171	−	0.281017i
$320$	−2.12653	−	0.691293i	−0.118876	−	0.0386445i
$321$	2.51470	+	3.46118i	0.140357	+	0.193184i
$322$	18.8268	+	9.59271i	1.04917	+	0.534581i
$323$	−23.9617	+	12.2091i	−1.33327	+	0.679333i
$324$	−0.587785	+	0.809017i	−0.0326547	+	0.0449454i
$325$	−19.8770	−	19.8886i	−1.10258	−	1.10322i
$326$	−3.17952	+	9.78555i	−0.176097	+	0.541971i
$327$	2.04453	−	0.323822i	0.113063	−	0.0179074i
$328$	0.201509	+	0.395483i	0.0111265	+	0.0218369i
$329$	20.9398	−	6.80374i	1.15445	−	0.375103i
$330$	−2.83109		0.000413190i	−0.155846		2.27454e-5i
$331$	5.95646	−	1.93537i	0.327396	−	0.106378i	−0.140707	−	0.990051i	$-0.544938\pi$
$331$	5.95646	−	1.93537i	0.327396	−	0.106378i	0.468103	+	0.883674i	$0.344938\pi$
$332$	−4.42035	+	0.700115i	−0.242598	+	0.0384238i
$333$	−0.860975	−	5.43598i	−0.0471811	−	0.297890i
$334$	8.06130	−	5.85687i	0.441095	−	0.320474i
$335$	3.46480	+	21.8966i	0.189302	+	1.19634i
$336$		−	2.34610i		−	0.127990i
$337$	−3.63084	+	22.9242i	−0.197784	+	1.24876i	0.666403	+	0.745592i	$0.267833\pi$
$337$	−3.63084	+	22.9242i	−0.197784	+	1.24876i	−0.864187	+	0.503170i	$0.832167\pi$
$338$	8.45601	+	16.5958i	0.459946	+	0.902695i
$339$	−0.944351	−	2.90641i	−0.0512901	−	0.157855i
$340$	1.83176	+	11.5762i	0.0993410	+	0.627808i
$341$	−0.665513	−	7.01786i	−0.0360395	−	0.380039i
$342$	−3.62803	−	3.62803i	−0.196182	−	0.196182i
$343$	−17.7596	−	9.04895i	−0.958927	−	0.488597i
$344$	−0.121250	+	0.373171i	−0.00653739	+	0.0201200i
$345$	0.00293921	−	20.1388i	0.000158242	−	1.08424i
$346$	24.2816			1.30539
$347$	−6.76036	+	6.76036i	−0.362915	+	0.362915i	−0.864885	−	0.501970i	$-0.832609\pi$
$347$	−6.76036	+	6.76036i	−0.362915	+	0.362915i	0.501970	+	0.864885i	$0.332609\pi$
$348$	0.766539	−	4.83974i	0.0410908	−	0.259437i
$349$	3.76484	−	5.18186i	0.201527	−	0.277379i	−0.696277	−	0.717773i	$-0.745161\pi$
$349$	3.76484	−	5.18186i	0.201527	−	0.277379i	0.897804	+	0.440395i	$0.145161\pi$
$350$	−11.1553	−	3.62818i	−0.596276	−	0.193934i
$351$	−1.73782	−	5.34845i	−0.0927578	−	0.285479i
$352$	0.198062	−	1.25051i	0.0105567	−	0.0666525i
$353$	14.5134	−	28.4841i	0.772468	−	1.51605i	−0.0820479	−	0.996628i	$-0.526146\pi$
$353$	14.5134	−	28.4841i	0.772468	−	1.51605i	0.854516	−	0.519425i	$-0.173854\pi$
$354$	0.0946368	−	0.291262i	0.00502989	−	0.0154804i
$355$	4.21063	+	12.9654i	0.223477	+	0.688133i
$356$	5.05721	+	1.64319i	0.268031	+	0.0870887i
$357$	−10.9567	+	5.58270i	−0.579888	+	0.295468i
$358$	−2.33362	−	14.7339i	−0.123336	−	0.778711i
$359$	−1.93018	−	0.627155i	−0.101871	−	0.0331000i	0.257638	−	0.966242i	$-0.417056\pi$
$359$	−1.93018	−	0.627155i	−0.101871	−	0.0331000i	−0.359509	+	0.933142i	$0.617056\pi$
$360$	−1.99250	+	1.01486i	−0.105014	+	0.0534880i
$361$	5.92625	−	4.30567i	0.311908	−	0.226614i
$362$	−17.1418	−	8.73417i	−0.900952	−	0.459058i
$363$	1.47001	+	9.28130i	0.0771557	+	0.487142i
$364$	10.6740	+	7.75509i	0.559468	+	0.406477i
$365$	−12.1416	−	12.1451i	−0.635519	−	0.635704i
$366$	−7.94968			−0.415537
$367$	−8.69393	+	8.69393i	−0.453819	+	0.453819i	−0.896620	−	0.442801i	$-0.853985\pi$
$367$	−8.69393	+	8.69393i	−0.453819	+	0.453819i	0.442801	+	0.896620i	$0.353985\pi$
$368$	8.89545	+	1.40890i	0.463707	+	0.0734440i
$369$	0.422137	+	0.137161i	0.0219756	+	0.00714030i
$370$	3.80470	−	11.7039i	0.197797	−	0.608454i
$371$		−	16.3962i		−	0.851250i
$372$	−2.98477	−	4.70012i	−0.154753	−	0.243690i
$373$	−13.3486	+	13.3486i	−0.691165	+	0.691165i	−0.962488	−	0.271323i	$-0.912539\pi$
$373$	−13.3486	+	13.3486i	−0.691165	+	0.691165i	0.271323	+	0.962488i	$0.412539\pi$
$374$	−6.31140	+	2.05070i	−0.326355	+	0.106039i
$375$	1.74416	+	11.0435i	0.0900678	+	0.570282i
$376$	7.59236	−	5.51617i	0.391546	−	0.284475i
$377$	19.4854	+	19.4854i	1.00355	+	1.00355i
$378$	−1.65894	−	1.65894i	−0.0853268	−	0.0853268i
$379$	−21.4131	−	29.4726i	−1.09992	−	1.51390i	−0.835496	−	0.549497i	$-0.814819\pi$
$379$	−21.4131	−	29.4726i	−1.09992	−	1.51390i	−0.264421	−	0.964407i	$-0.585181\pi$
$380$	−3.54371	−	10.9118i	−0.181789	−	0.559766i
$381$	−3.39519	−	2.46675i	−0.173941	−	0.126375i
$382$	−3.82392	+	7.50487i	−0.195649	+	0.383982i
$383$	12.6895	+	2.00982i	0.648405	+	0.102697i	0.471969	−	0.881615i	$-0.343543\pi$
$383$	12.6895	+	2.00982i	0.648405	+	0.102697i	0.176435	+	0.984312i	$0.443543\pi$
$384$	−0.309017	−	0.951057i	−0.0157695	−	0.0485334i
$385$	1.04000	−	6.56009i	0.0530032	−	0.334333i
$386$	15.6386	+	11.3621i	0.795981	+	0.578314i
$387$	0.178134	+	0.349608i	0.00905508	+	0.0177716i
$388$	1.73613	+	3.40734i	0.0881386	+	0.172982i
$389$	−24.8293	−	18.0395i	−1.25889	−	0.914641i	−0.260192	−	0.965557i	$-0.583786\pi$
$389$	−24.8293	−	18.0395i	−1.25889	−	0.914641i	−0.998703	+	0.0509162i	$0.983786\pi$
$390$	1.96897	−	12.4199i	0.0997027	−	0.628904i
$391$	−14.5875	−	44.8958i	−0.737722	−	2.27048i
$392$	−1.47740	−	0.233997i	−0.0746198	−	0.0118186i
$393$	9.21293	−	18.0814i	0.464731	−	0.912085i
$394$	−13.8612	−	10.0708i	−0.698320	−	0.507359i
$395$	0.255806	+	0.787681i	0.0128710	+	0.0396325i
$396$	−0.744195	−	1.02430i	−0.0373972	−	0.0514728i
$397$	26.8370	+	26.8370i	1.34691	+	1.34691i	0.888996	+	0.457915i	$0.151404\pi$
$397$	26.8370	+	26.8370i	1.34691	+	1.34691i	0.457915	+	0.888996i	$0.348596\pi$
$398$	−16.4967	−	16.4967i	−0.826904	−	0.826904i
$399$	9.73846	−	7.07541i	0.487533	−	0.354213i
$400$	−5.00000	−	0.00145948i	−0.250000	−	7.29738e-5i
$401$	7.74064	−	2.51508i	0.386549	−	0.125597i	−0.109294	−	0.994009i	$-0.534859\pi$
$401$	7.74064	−	2.51508i	0.386549	−	0.125597i	0.495843	+	0.868412i	$0.334859\pi$
$402$	−7.01045	+	7.01045i	−0.349649	+	0.349649i
$403$	31.2502	+	1.95666i	1.55668	+	0.0974682i
$404$		−	3.07705i		−	0.153089i
$405$	−0.691293	+	2.12653i	−0.0343506	+	0.105668i
$406$	10.9334	+	3.55247i	0.542615	+	0.176306i
$407$	6.88250	+	1.09008i	0.341153	+	0.0540333i
$408$	−3.70626	+	3.70626i	−0.183487	+	0.183487i
$409$	−8.54932			−0.422737			−0.211368	−	0.977406i	$-0.567792\pi$
$409$	−8.54932			−0.422737			−0.211368	+	0.977406i	$0.567792\pi$
$410$	0.701704	+	0.701909i	0.0346547	+	0.0346648i
$411$	9.16678	+	6.66006i	0.452164	+	0.328516i
$412$	0.484134	+	3.05670i	0.0238516	+	0.150593i
$413$	0.640185	+	0.326190i	0.0315014	+	0.0160508i
$414$	7.28628	−	5.29379i	0.358101	−	0.260176i
$415$	−8.91734	+	4.54197i	−0.437735	+	0.222957i
$416$	5.34845	+	1.73782i	0.262229	+	0.0852035i
$417$	0.198251	+	1.25171i	0.00970838	+	0.0612963i
$418$	5.78809	−	2.94918i	0.283105	−	0.144249i
$419$	32.3056	+	10.4967i	1.57823	+	0.512799i	0.961601	−	0.274452i	$-0.0884963\pi$
$419$	32.3056	+	10.4967i	1.57823	+	0.512799i	0.616633	+	0.787251i	$0.288496\pi$
$420$	−1.62039	−	4.98952i	−0.0790668	−	0.243464i
$421$	7.69891	−	23.6948i	0.375222	−	1.15481i	−0.568107	−	0.822955i	$-0.692324\pi$
$421$	7.69891	−	23.6948i	0.375222	−	1.15481i	0.943329	−	0.331859i	$-0.107676\pi$
$422$	9.80950	−	19.2522i	0.477519	−	0.937184i
$423$	1.46809	−	9.26913i	0.0713808	−	0.450681i
$424$	−2.15963	−	6.64666i	−0.104881	−	0.322790i
$425$	11.8910	+	23.3543i	0.576799	+	1.13285i
$426$	−3.58338	+	4.93210i	−0.173615	+	0.238961i
$427$	2.91762	−	18.4211i	0.141194	−	0.891461i
$428$	−3.02519	+	3.02519i	−0.146228	+	0.146228i
$429$	7.12016			0.343765
$430$	−0.000128051		0.877377i	−6.17517e−6		0.0423109i
$431$	6.29870	−	19.3854i	0.303398	−	0.933762i	−0.676873	−	0.736100i	$-0.736665\pi$
$431$	6.29870	−	19.3854i	0.303398	−	0.933762i	0.980270	−	0.197662i	$-0.0633348\pi$
$432$	−0.891007	−	0.453990i	−0.0428686	−	0.0218426i
$433$	−9.44234	−	9.44234i	−0.453770	−	0.453770i	0.442834	−	0.896604i	$-0.353973\pi$
$433$	−9.44234	−	9.44234i	−0.453770	−	0.453770i	−0.896604	+	0.442834i	$0.853973\pi$
$434$	11.9866	−	5.19136i	0.575377	−	0.249193i
$435$	−1.71245	−	10.8222i	−0.0821059	−	0.518886i
$436$	0.639671	+	1.96870i	0.0306347	+	0.0942838i
$437$	20.9788	+	41.1733i	1.00355	+	1.96958i
$438$	1.20144	−	7.58557i	0.0574068	−	0.362453i
$439$		−	26.3676i		−	1.25846i	−0.777221	−	0.629228i	$-0.783371\pi$
$439$		−	26.3676i		−	1.25846i	0.777221	−	0.629228i	$-0.216629\pi$
$440$	−0.442471	−	2.79630i	−0.0210940	−	0.133308i
$441$	−1.21014	+	0.879217i	−0.0576256	+	0.0418675i
$442$	−4.61111	−	29.1134i	−0.219328	−	1.38478i
$443$	9.25305	−	1.46554i	0.439626	−	0.0696298i	0.0673016	−	0.997733i	$-0.478561\pi$
$443$	9.25305	−	1.46554i	0.439626	−	0.0696298i	0.372324	+	0.928103i	$0.378561\pi$
$444$	5.23437	−	1.70075i	0.248412	−	0.0807140i
$445$	11.8902	+	0.00173535i	0.563650	+	8.22633e-5i
$446$	−12.3880	+	4.02510i	−0.586589	+	0.190594i
$447$	8.85449	+	17.3779i	0.418803	+	0.821947i
$448$	2.31722	−	0.367011i	0.109478	−	0.0173396i
$449$	3.41654	−	10.5150i	0.161237	−	0.496235i	−0.837503	−	0.546433i	$-0.815985\pi$
$449$	3.41654	−	10.5150i	0.161237	−	0.496235i	0.998739	+	0.0501981i	$0.0159853\pi$
$450$	−3.53657	+	3.53450i	−0.166715	+	0.166618i
$451$	−0.330319	+	0.454645i	−0.0155541	+	0.0214084i
$452$	2.72290	−	1.38739i	0.128074	−	0.0652572i
$453$	−8.87529	−	4.52219i	−0.416998	−	0.212471i
$454$	−13.6615	−	18.8035i	−0.641167	−	0.882490i
$455$	28.0569	+	9.12076i	1.31533	+	0.427588i
$456$	3.01582	−	4.15092i	0.141229	−	0.194384i
$457$	36.2814	−	5.74641i	1.69717	−	0.268806i	0.768539	−	0.639803i	$-0.220984\pi$
$457$	36.2814	−	5.74641i	1.69717	−	0.268806i	0.928634	+	0.370998i	$0.120984\pi$
$458$	−18.7836	−	2.97503i	−0.877701	−	0.139014i
$459$			5.24144i			0.244650i
$460$	19.8913	−	3.14750i	0.927436	−	0.146753i
$461$	10.5030	+	14.4562i	0.489175	+	0.673292i	0.980236	−	0.197833i	$-0.0633905\pi$
$461$	10.5030	+	14.4562i	0.489175	+	0.673292i	−0.491060	+	0.871126i	$0.663391\pi$
$462$	2.64664	−	1.34853i	0.123133	−	0.0627394i
$463$	−4.91330	+	9.64289i	−0.228340	+	0.448143i	−0.976542	−	0.215329i	$-0.930918\pi$
$463$	−4.91330	+	9.64289i	−0.228340	+	0.448143i	0.748201	+	0.663472i	$0.230918\pi$
$464$	4.90006			0.227480
$465$	−9.59404	−	7.93438i	−0.444913	−	0.367948i
$466$	−14.5924			−0.675981
$467$	0.0711479	−	0.139636i	0.00329233	−	0.00646157i	−0.889354	−	0.457218i	$-0.848846\pi$
$467$	0.0711479	−	0.139636i	0.00329233	−	0.00646157i	0.892647	+	0.450757i	$0.148846\pi$
$468$	5.01075	−	2.55310i	0.231622	−	0.118017i
$469$	−13.6718	−	18.8176i	−0.631306	−	0.868918i
$470$	12.3370	−	16.9752i	0.569064	−	0.783009i
$471$			13.2671i			0.611316i
$472$	0.302481	+	0.0479082i	0.0139228	+	0.00220516i
$473$	−0.490669	+	0.0777144i	−0.0225610	+	0.00357331i
$474$	−0.217699	+	0.299638i	−0.00999927	+	0.0137628i
$475$	−15.0730	−	20.7590i	−0.691598	−	0.952487i
$476$	−7.22797	−	9.94845i	−0.331293	−	0.455986i
$477$	−6.22699	−	3.17281i	−0.285114	−	0.145273i
$478$	−16.8453	+	8.58309i	−0.770485	+	0.392581i
$479$	−11.8821	+	16.3543i	−0.542906	+	0.747246i	−0.989028	−	0.147726i	$-0.952805\pi$
$479$	−11.8821	+	16.3543i	−0.542906	+	0.747246i	0.446122	+	0.894972i	$0.352805\pi$
$480$	−1.31406	−	1.80921i	−0.0599785	−	0.0825787i
$481$	−9.56450	+	29.4365i	−0.436104	+	1.34219i
$482$	−4.38739	+	0.694895i	−0.199840	+	0.0316516i
$483$	9.59271	+	18.8268i	0.436483	+	0.856647i
$484$	−8.93707	+	2.90383i	−0.406230	+	0.131992i
$485$	6.04563	+	6.04740i	0.274518	+	0.274598i
$486$	−0.951057	+	0.309017i	−0.0431408	+	0.0140173i
$487$	−34.2643	+	5.42693i	−1.55266	+	0.245918i	−0.873042	−	0.487645i	$-0.837856\pi$
$487$	−34.2643	+	5.42693i	−1.55266	+	0.245918i	−0.679622	+	0.733563i	$0.737856\pi$
$488$	−1.24360	−	7.85181i	−0.0562953	−	0.355435i
$489$	−8.32408	+	6.04780i	−0.376428	+	0.273491i
$490$	−3.30364	+	0.522750i	−0.149243	+	0.0236155i
$491$			32.6411i			1.47307i	0.676397	+	0.736537i	$0.263540\pi$
$491$			32.6411i			1.47307i	−0.676397	+	0.736537i	$0.736460\pi$
$492$	−0.0694352	+	0.438396i	−0.00313038	+	0.0197644i
$493$	−11.6600	−	22.8841i	−0.525141	−	1.03065i
$494$	8.91642	+	27.4419i	0.401169	+	1.23467i
$495$	−2.29015	−	1.66440i	−0.102935	−	0.0748094i
$496$	4.17533	−	3.68328i	0.187478	−	0.165384i
$497$	−10.1136	−	10.1136i	−0.453657	−	0.453657i
$498$	−3.98766	−	2.03181i	−0.178691	−	0.0910477i
$499$	4.55662	−	14.0238i	0.203982	−	0.627793i	−0.795771	−	0.605597i	$-0.792934\pi$
$499$	4.55662	−	14.0238i	0.203982	−	0.627793i	0.999754	−	0.0221960i	$-0.00706580\pi$
$500$	−10.6346	+	3.45026i	−0.475596	+	0.154300i
$501$	9.96431			0.445173
$502$	−17.2949	+	17.2949i	−0.771909	+	0.771909i
$503$	4.97415	−	31.4055i	0.221786	−	1.40030i	−0.585753	−	0.810490i	$-0.699201\pi$
$503$	4.97415	−	31.4055i	0.221786	−	1.40030i	0.807539	−	0.589814i	$-0.200799\pi$
$504$	1.37900	−	1.89804i	0.0614257	−	0.0845452i
$505$	−2.12524	−	6.54405i	−0.0945717	−	0.291207i
$506$	3.52370	+	10.8448i	0.156647	+	0.482111i
$507$	−2.91374	+	18.3966i	−0.129404	+	0.817023i
$508$	1.90525	−	3.73927i	0.0845320	−	0.165903i
$509$	1.53054	−	4.71052i	0.0678400	−	0.208790i	−0.911390	−	0.411545i	$-0.864989\pi$
$509$	1.53054	−	4.71052i	0.0678400	−	0.208790i	0.979230	+	0.202755i	$0.0649894\pi$
$510$	−5.32240	+	10.4420i	−0.235680	+	0.462381i
$511$	17.1365	+	5.56797i	0.758072	+	0.246313i
$512$	0.891007	−	0.453990i	0.0393773	−	0.0200637i
$513$	−0.802636	−	5.06765i	−0.0354373	−	0.223742i
$514$	−0.0313432	−	0.0101840i	−0.00138249	−	0.000449199i
$515$	3.14080	+	6.16640i	0.138400	+	0.271724i
$516$	−0.317438	+	0.230632i	−0.0139744	+	0.0101530i
$517$	10.5869	+	5.39429i	0.465610	+	0.237240i
$518$	2.01993	+	12.7534i	0.0887508	+	0.560350i
$519$	19.6442	+	14.2723i	0.862285	+	0.626487i
$520$	12.5750	+	0.00183529i	0.551449	+	8.04826e-5i
$521$	−30.2341			−1.32458			−0.662291	−	0.749247i	$-0.730416\pi$
$521$	−30.2341			−1.32458			−0.662291	+	0.749247i	$0.730416\pi$
$522$	3.46487	−	3.46487i	0.151653	−	0.151653i
$523$	43.1214	+	6.82976i	1.88557	+	0.298645i	0.989416	−	0.145104i	$-0.0463517\pi$
$523$	43.1214	+	6.82976i	1.88557	+	0.298645i	0.896151	+	0.443749i	$0.146352\pi$
$524$	19.3000	+	6.27095i	0.843124	+	0.273948i
$525$	−6.89225	−	9.49219i	−0.300802	−	0.414273i
$526$		−	13.1558i		−	0.573621i
$527$	−27.1370	−	10.7349i	−1.18211	−	0.467618i
$528$	0.895268	−	0.895268i	0.0389615	−	0.0389615i
$529$	−55.2697	+	17.9582i	−2.40303	+	0.780792i
$530$	−9.18362	−	12.6440i	−0.398911	−	0.549222i
$531$	0.247762	−	0.180010i	0.0107520	−	0.00781177i
$532$	8.51173	+	8.51173i	0.369030	+	0.369030i
$533$	−1.76504	−	1.76504i	−0.0764523	−	0.0764523i
$534$	3.12553	+	4.30192i	0.135255	+	0.186162i
$535$	−4.34433	+	8.52316i	−0.187822	+	0.368488i
$536$	−8.02082	−	5.82746i	−0.346446	−	0.251708i
$537$	6.77243	−	13.2916i	0.292252	−	0.573577i
$538$	16.4234	+	2.60121i	0.708064	+	0.112146i
$539$	−0.585232	−	1.80116i	−0.0252077	−	0.0775813i
$540$	−2.20849	−	0.350120i	−0.0950382	−	0.0150668i
$541$	0.286567	+	0.208203i	0.0123205	+	0.00895134i	0.593928	−	0.804518i	$-0.297576\pi$
$541$	0.286567	+	0.208203i	0.0123205	+	0.00895134i	−0.581608	+	0.813469i	$0.697576\pi$
$542$	−3.09249	−	6.06936i	−0.132834	−	0.260701i
$543$	−8.73417	−	17.1418i	−0.374819	−	0.735624i
$544$	−4.24042	−	3.08084i	−0.181806	−	0.132090i
$545$	2.72014	+	3.74509i	0.116518	+	0.160422i
$546$	4.07709	+	12.5480i	0.174484	+	0.537005i
$547$	17.2764	+	2.73632i	0.738686	+	0.116996i	0.514428	−	0.857533i	$-0.328004\pi$
$547$	17.2764	+	2.73632i	0.738686	+	0.116996i	0.224258	+	0.974530i	$0.428004\pi$
$548$	−5.14406	+	10.0958i	−0.219743	+	0.431271i
$549$	−6.43143	−	4.67271i	−0.274487	−	0.199426i
$550$	−2.87234	−	5.64136i	−0.122477	−	0.240548i
$551$	14.7777	+	20.3398i	0.629551	+	0.866503i
$552$	6.36844	+	6.36844i	0.271059	+	0.271059i
$553$	−0.614427	−	0.614427i	−0.0261281	−	0.0261281i
$554$	−21.1047	+	15.3335i	−0.896653	+	0.651457i
$555$	9.95742	−	7.23227i	0.422669	−	0.306993i
$556$	−1.20528	+	0.391620i	−0.0511153	+	0.0166084i
$557$	30.1940	−	30.1940i	1.27936	−	1.27936i	0.338338	−	0.941025i	$-0.390135\pi$
$557$	30.1940	−	30.1940i	1.27936	−	1.27936i	0.941025	−	0.338338i	$-0.109865\pi$
$558$	0.347932	−	5.55688i	0.0147291	−	0.235242i
$559$		−	2.20660i		−	0.0933291i
$560$	4.67460	−	2.38097i	0.197538	−	0.100614i
$561$	−6.31140	−	2.05070i	−0.266467	−	0.0865805i
$562$	23.0300	+	3.64760i	0.971463	+	0.153865i
$563$	−21.0957	+	21.0957i	−0.889079	+	0.889079i	−0.994435	−	0.105356i	$-0.966402\pi$
$563$	−21.0957	+	21.0957i	−0.889079	+	0.889079i	0.105356	+	0.994435i	$0.466402\pi$
$564$	9.38467			0.395166
$565$	4.83264	−	4.83123i	0.203311	−	0.203251i
$566$	−9.49178	−	6.89618i	−0.398969	−	0.289868i
$567$	−0.367011	−	2.31722i	−0.0154130	−	0.0973139i
$568$	−5.43195	−	2.76771i	−0.227919	−	0.116131i
$569$	20.6634	−	15.0129i	0.866256	−	0.629372i	−0.0633234	−	0.997993i	$-0.520170\pi$
$569$	20.6634	−	15.0129i	0.866256	−	0.629372i	0.929580	+	0.368621i	$0.120170\pi$
$570$	3.54690	−	10.9108i	0.148563	−	0.457004i
$571$	22.6181	+	7.34906i	0.946538	+	0.307549i	0.741308	−	0.671165i	$-0.234206\pi$
$571$	22.6181	+	7.34906i	0.946538	+	0.307549i	0.205230	+	0.978714i	$0.434206\pi$
$572$	1.11384	+	7.03250i	0.0465719	+	0.294044i
$573$	−7.50487	+	3.82392i	−0.313520	+	0.159747i
$574$	−0.990376	−	0.321793i	−0.0413375	−	0.0134314i
$575$	40.1295	−	20.4322i	1.67351	−	0.852083i
$576$	0.309017	−	0.951057i	0.0128757	−	0.0396274i
$577$	−1.14972	+	2.25645i	−0.0478635	+	0.0939374i	−0.913699	−	0.406391i	$-0.866787\pi$
$577$	−1.14972	+	2.25645i	−0.0478635	+	0.0939374i	0.865836	+	0.500328i	$0.166787\pi$
$578$	−1.63830	+	10.3438i	−0.0681442	+	0.430246i
$579$	5.97340	+	18.3842i	0.248246	+	0.764022i
$580$	10.4211	−	3.38434i	0.432713	−	0.140527i
$581$	6.17166	−	8.49457i	0.256044	−	0.352414i
$582$	−0.598229	+	3.77707i	−0.0247974	+	0.156565i
$583$	6.25677	−	6.25677i	0.259129	−	0.259129i
$584$	7.68012			0.317806
$585$	8.89314	−	8.89055i	0.367686	−	0.367579i
$586$	−7.88365	+	24.2634i	−0.325671	+	1.00231i
$587$	−33.4434	−	17.0403i	−1.38036	−	0.703328i	−0.403056	−	0.915175i	$-0.632052\pi$
$587$	−33.4434	−	17.0403i	−1.38036	−	0.703328i	−0.977303	+	0.211848i	$0.932052\pi$
$588$	−1.05770	−	1.05770i	−0.0436188	−	0.0436188i
$589$	27.8810	+	6.22335i	1.14882	+	0.256429i
$590$	0.676383	−	0.107027i	0.0278463	−	0.00440625i
$591$	−5.29453	−	16.2949i	−0.217788	−	0.670282i
$592$	2.49865	+	4.90387i	0.102694	+	0.201548i
$593$	−0.599533	+	3.78530i	−0.0246199	+	0.155444i	−0.996936	−	0.0782275i	$-0.975074\pi$
$593$	−0.599533	+	3.78530i	−0.0246199	+	0.155444i	0.972316	+	0.233671i	$0.0750739\pi$
$594$		−	1.26610i		−	0.0519487i
$595$	−22.2430	−	16.1655i	−0.911876	−	0.662720i
$596$	−15.7788	+	11.4640i	−0.646326	+	0.469583i
$597$	−3.64959	−	23.0426i	−0.149368	−	0.943071i
$598$	−50.0253	+	7.92323i	−2.04569	+	0.324005i
$599$	−3.05690	+	0.993246i	−0.124901	+	0.0405829i	−0.370801	−	0.928712i	$-0.620917\pi$
$599$	−3.05690	+	0.993246i	−0.124901	+	0.0405829i	0.245899	+	0.969295i	$0.420917\pi$
$600$	−4.04423	−	2.94011i	−0.165105	−	0.120029i
$601$	41.9897	−	13.6433i	1.71280	−	0.556521i	0.722001	−	0.691892i	$-0.243223\pi$
$601$	41.9897	−	13.6433i	1.71280	−	0.556521i	0.990795	+	0.135371i	$0.0432225\pi$
$602$	−0.417921	−	0.820216i	−0.0170332	−	0.0334295i
$603$	−9.79221	+	1.55093i	−0.398770	+	0.0631589i
$604$	3.07811	−	9.47345i	0.125246	−	0.385469i
$605$	−17.0011	+	12.3482i	−0.691194	+	0.502028i
$606$	1.80865	−	2.48939i	0.0734712	−	0.101124i
$607$	−0.613808	+	0.312751i	−0.0249137	+	0.0126942i	−0.466403	−	0.884572i	$-0.654450\pi$
$607$	−0.613808	+	0.312751i	−0.0249137	+	0.0126942i	0.441489	+	0.897267i	$0.354450\pi$
$608$	4.57159	+	2.32934i	0.185402	+	0.0944672i
$609$	6.75720	+	9.30049i	0.273816	+	0.376875i
$610$	−8.06784	−	15.8397i	−0.326657	−	0.641332i
$611$	−31.0213	+	42.6971i	−1.25499	+	1.72734i
$612$	−5.17691	+	0.819943i	−0.209264	+	0.0331442i
$613$	15.0700	+	2.38685i	0.608671	+	0.0964039i	0.453158	−	0.891430i	$-0.350297\pi$
$613$	15.0700	+	2.38685i	0.608671	+	0.0964039i	0.155512	+	0.987834i	$0.450297\pi$
$614$			21.3956i			0.863457i
$615$	0.155119	+	0.980307i	0.00625499	+	0.0395298i
$616$	1.74596	+	2.40310i	0.0703466	+	0.0968238i
$617$	−11.3210	+	5.76833i	−0.455766	+	0.232224i	−0.666774	−	0.745260i	$-0.732325\pi$
$617$	−11.3210	+	5.76833i	−0.455766	+	0.232224i	0.211008	+	0.977484i	$0.432325\pi$
$618$	−1.40501	+	2.75749i	−0.0565179	+	0.110923i
$619$	−30.3092			−1.21823			−0.609115	−	0.793082i	$-0.708475\pi$
$619$	−30.3092			−1.21823			−0.609115	+	0.793082i	$0.708475\pi$
$620$	6.33586	−	10.7171i	0.254454	−	0.430410i
$621$	9.00633			0.361412
$622$	6.81603	−	13.3772i	0.273298	−	0.536378i
$623$	−11.1156	+	5.66367i	−0.445336	+	0.226910i
$624$	3.30553	+	4.54967i	0.132327	+	0.182132i
$625$	−20.2340	+	14.6828i	−0.809360	+	0.587313i
$626$		−	22.7355i		−	0.908692i
$627$	6.41615	+	1.01622i	0.256236	+	0.0405838i
$628$	−13.1038	+	2.07543i	−0.522897	+	0.0828188i
$629$	16.9562	−	23.3382i	0.676087	−	0.930554i
$630$	1.62184	−	4.98904i	0.0646158	−	0.198768i
$631$	−28.3847	−	39.0681i	−1.12998	−	1.55528i	−0.788116	−	0.615527i	$-0.788943\pi$
$631$	−28.3847	−	39.0681i	−1.12998	−	1.55528i	−0.341860	−	0.939751i	$-0.611057\pi$
$632$	−0.330004	−	0.168146i	−0.0131269	−	0.00668847i
$633$	19.2522	−	9.80950i	0.765208	−	0.389893i
$634$	0.934686	−	1.28648i	0.0371211	−	0.0510928i
$635$	1.46934	−	9.26832i	0.0583092	−	0.367802i
$636$	2.15963	−	6.64666i	0.0856350	−	0.263557i
$637$	8.30843	−	1.31593i	0.329192	−	0.0521389i
$638$	2.81654	+	5.52778i	0.111508	+	0.218847i
$639$	−5.79804	+	1.88390i	−0.229367	+	0.0745258i
$640$	1.58137	−	1.58091i	0.0625091	−	0.0624909i
$641$	10.7578	−	3.49541i	0.424907	−	0.138061i	−0.0887547	−	0.996054i	$-0.528289\pi$
$641$	10.7578	−	3.49541i	0.424907	−	0.138061i	0.513661	+	0.857993i	$0.328289\pi$
$642$	−4.22559	+	0.669267i	−0.166771	+	0.0264139i
$643$	−3.75994	−	23.7393i	−0.148277	−	0.936187i	−0.943861	−	0.330343i	$-0.892836\pi$
$643$	−3.75994	−	23.7393i	−0.148277	−	0.936187i	0.795584	−	0.605844i	$-0.207164\pi$
$644$	−17.0943	+	12.4198i	−0.673611	+	0.489407i
$645$	−0.515813	+	0.709737i	−0.0203101	+	0.0279459i
$646$		−	26.8929i		−	1.05809i
$647$	2.97208	−	18.7650i	0.116845	−	0.737728i	−0.857802	−	0.513980i	$-0.828171\pi$
$647$	2.97208	−	18.7650i	0.116845	−	0.737728i	0.974647	−	0.223748i	$-0.0718293\pi$
$648$	−0.453990	−	0.891007i	−0.0178344	−	0.0350020i
$649$	0.119820	+	0.368767i	0.00470334	+	0.0144754i
$650$	26.7448	−	8.68128i	1.04902	−	0.340508i
$651$	12.7488	+	2.84567i	0.499665	+	0.111531i
$652$	−7.27552	−	7.27552i	−0.284931	−	0.284931i
$653$	−22.8445	−	11.6398i	−0.893973	−	0.455502i	−0.0542563	−	0.998527i	$-0.517279\pi$
$653$	−22.8445	−	11.6398i	−0.893973	−	0.455502i	−0.839716	+	0.543025i	$0.817279\pi$
$654$	−0.639671	+	1.96870i	−0.0250131	+	0.0769824i
$655$	45.3770	+	0.00662267i	1.77303	+	0.000258769i
$656$	−0.443861			−0.0173299
$657$	5.43067	−	5.43067i	0.211871	−	0.211871i
$658$	−3.44428	+	21.7463i	−0.134272	+	0.847759i
$659$	14.3179	−	19.7069i	0.557746	−	0.767671i	−0.433292	−	0.901254i	$-0.642648\pi$
$659$	14.3179	−	19.7069i	0.557746	−	0.767671i	0.991038	+	0.133583i	$0.0426482\pi$
$660$	1.28565	−	2.52233i	0.0500440	−	0.0981815i
$661$	5.31509	+	16.3582i	0.206733	+	0.636259i	0.999638	+	0.0269132i	$0.00856776\pi$
$661$	5.31509	+	16.3582i	0.206733	+	0.636259i	−0.792905	+	0.609346i	$0.791432\pi$
$662$	−0.979747	+	6.18588i	−0.0380790	+	0.240421i
$663$	13.3820	−	26.2636i	0.519712	−	1.01999i
$664$	1.38299	−	4.25641i	0.0536705	−	0.165181i
$665$	23.9810	+	12.2233i	0.929941	+	0.474000i
$666$	5.23437	+	1.70075i	0.202828	+	0.0659027i
$667$	−39.3216	+	20.0353i	−1.52254	+	0.775771i
$668$	1.55876	+	9.84163i	0.0603103	+	0.380784i
$669$	−12.3880	−	4.02510i	−0.478948	−	0.155619i
$670$	−21.0830	−	6.85367i	−0.814506	−	0.264780i
$671$	8.14283	−	5.91612i	0.314351	−	0.228389i
$672$	2.09039	+	1.06511i	0.0806386	+	0.0410874i
$673$	0.784886	+	4.95557i	0.0302551	+	0.191023i	0.998187	−	0.0601896i	$-0.0191705\pi$
$673$	0.784886	+	4.95557i	0.0302551	+	0.191023i	−0.967932	+	0.251213i	$0.919171\pi$
$674$	−18.7773	−	13.6425i	−0.723273	−	0.525489i
$675$	−4.93867	+	0.780731i	−0.190089	+	0.0300503i
$676$	−18.6260			−0.716383
$677$	−5.39877	+	5.39877i	−0.207492	+	0.207492i	−0.803201	−	0.595709i	$-0.796871\pi$
$677$	−5.39877	+	5.39877i	−0.207492	+	0.207492i	0.595709	+	0.803201i	$0.296871\pi$
$678$	3.01836	+	0.478061i	0.115919	+	0.0183598i
$679$	−8.53273	−	2.77245i	−0.327456	−	0.106397i
$680$	−11.1461	−	3.62338i	−0.427432	−	0.138950i
$681$		−	23.2424i		−	0.890649i
$682$	6.55510	+	2.59307i	0.251008	+	0.0992937i
$683$	−24.6101	+	24.6101i	−0.941678	+	0.941678i	−0.998391	−	0.0567129i	$-0.981938\pi$
$683$	−24.6101	+	24.6101i	−0.941678	+	0.941678i	0.0567129	+	0.998391i	$0.481938\pi$
$684$	4.87969	−	1.58551i	0.186580	−	0.0606234i
$685$	−3.96713	+	25.0238i	−0.151576	+	0.956112i
$686$	16.1254	−	11.7158i	0.615669	−	0.447310i
$687$	−13.4476	−	13.4476i	−0.513057	−	0.513057i
$688$	−0.277451	−	0.277451i	−0.0105777	−	0.0105777i
$689$	23.1014	+	31.7963i	0.880092	+	1.21134i
$690$	17.9424	+	9.14543i	0.683057	+	0.348161i
$691$	−28.4177	−	20.6467i	−1.08106	−	0.785437i	−0.103194	−	0.994661i	$-0.532906\pi$
$691$	−28.4177	−	20.6467i	−1.08106	−	0.785437i	−0.977868	+	0.209224i	$0.932906\pi$
$692$	−11.0236	+	21.6350i	−0.419054	+	0.822441i
$693$	2.93383	+	0.464673i	0.111447	+	0.0176515i
$694$	−2.95439	−	9.09267i	−0.112147	−	0.345153i
$695$	−2.29283	+	1.66532i	−0.0869718	+	0.0631694i
$696$	3.96424	+	2.88019i	0.150264	+	0.109173i
$697$	1.05620	+	2.07290i	0.0400063	+	0.0785168i
$698$	2.90787	+	5.70702i	0.110065	+	0.216014i
$699$	−11.8055	−	8.57722i	−0.446526	−	0.324420i
$700$	8.29714	−	8.29230i	0.313602	−	0.313419i
$701$	3.52651	+	10.8535i	0.133194	+	0.409930i	0.995305	−	0.0967904i	$-0.0308577\pi$
$701$	3.52651	+	10.8535i	0.133194	+	0.409930i	−0.862110	+	0.506720i	$0.830858\pi$
$702$	5.55446	+	0.879740i	0.209640	+	0.0332036i
$703$	−12.8201	+	25.1608i	−0.483519	+	0.948959i
$704$	1.02430	+	0.744195i	0.0386046	+	0.0280479i
$705$	19.9586	−	6.48174i	0.751686	−	0.244116i
$706$	18.7906	+	25.8630i	0.707192	+	0.973366i
$707$	5.10466	+	5.10466i	0.191980	+	0.191980i
$708$	0.216552	+	0.216552i	0.00813853	+	0.00813853i
$709$	−33.1869	+	24.1117i	−1.24636	+	0.905532i	−0.998005	−	0.0631370i	$-0.979890\pi$
$709$	−33.1869	+	24.1117i	−1.24636	+	0.905532i	−0.248354	+	0.968669i	$0.579890\pi$
$710$	−13.4639	−	2.13448i	−0.505290	−	0.0801056i
$711$	−0.352245	+	0.114451i	−0.0132102	+	0.00429226i
$712$	−3.76001	+	3.76001i	−0.140912	+	0.140912i
$713$	−18.4456	+	46.6293i	−0.690794	+	1.74628i
$714$		−	12.2970i		−	0.460202i
$715$	7.22599	+	14.1869i	0.270237	+	0.530561i
$716$	14.1874	+	4.60978i	0.530210	+	0.172276i
$717$	−18.6731	−	2.95753i	−0.697360	−	0.110451i
$718$	1.43508	−	1.43508i	0.0535569	−	0.0535569i
$719$	6.69097			0.249531			0.124766	−	0.992186i	$-0.460182\pi$
$719$	6.69097			0.249531			0.124766	+	0.992186i	$0.460182\pi$
$720$	0.000326349	−	2.23607i	1.21623e−5	−	0.0833333i
$721$	−5.87405	−	4.26775i	−0.218761	−	0.158939i
$722$	1.14592	+	7.23507i	0.0426468	+	0.269261i
$723$	−3.95792	−	2.01666i	−0.147197	−	0.0750005i
$724$	15.5644	−	11.3082i	0.578447	−	0.420266i
$725$	19.8254	−	14.3951i	0.736296	−	0.534622i
$726$	−8.93707	−	2.90383i	−0.331686	−	0.107771i
$727$	5.47176	+	34.5474i	0.202936	+	1.28129i	0.853201	+	0.521583i	$0.174658\pi$
$727$	5.47176	+	34.5474i	0.202936	+	1.28129i	−0.650264	+	0.759708i	$0.725342\pi$
$728$	−11.7557	+	5.98984i	−0.435696	+	0.221998i
$729$	−0.951057	−	0.309017i	−0.0352243	−	0.0114451i
$730$	16.3335	−	5.30445i	0.604531	−	0.196327i
$731$	−0.635528	+	1.95595i	−0.0235058	+	0.0723435i
$732$	3.60908	−	7.08322i	0.133395	−	0.261803i
$733$	5.52570	−	34.8879i	0.204097	−	1.28861i	−0.646548	−	0.762873i	$-0.723788\pi$
$733$	5.52570	−	34.8879i	0.204097	−	1.28861i	0.850644	−	0.525741i	$-0.176212\pi$
$734$	−3.79939	−	11.6933i	−0.140238	−	0.431608i
$735$	−2.97996	−	1.51891i	−0.109918	−	0.0560260i
$736$	−5.29379	+	7.28628i	−0.195132	+	0.268576i
$737$	1.96364	−	12.3979i	0.0723315	−	0.456683i
$738$	−0.313857	+	0.313857i	−0.0115532	+	0.0115532i
$739$	6.99049			0.257149			0.128575	−	0.991700i	$-0.458960\pi$
$739$	6.99049			0.257149			0.128575	+	0.991700i	$0.458960\pi$
$740$	8.70091	+	8.70345i	0.319852	+	0.319945i
$741$	−8.91642	+	27.4419i	−0.327553	+	1.00810i
$742$	14.6091	+	7.44373i	0.536319	+	0.273268i
$743$	19.8761	+	19.8761i	0.729184	+	0.729184i	0.970457	−	0.241273i	$-0.0775649\pi$
$743$	19.8761	+	19.8761i	0.729184	+	0.729184i	−0.241273	+	0.970457i	$0.577565\pi$
$744$	5.54290	−	0.525640i	0.203212	−	0.0192709i
$745$	−25.6394	+	35.2788i	−0.939355	+	1.29251i
$746$	−5.83356	−	17.9539i	−0.213582	−	0.657337i
$747$	−2.03181	−	3.98766i	−0.0743401	−	0.145901i
$748$	1.03813	−	6.55449i	0.0379578	−	0.239656i
$749$		−	10.0372i		−	0.366752i
$750$	−10.6316	−	3.45957i	−0.388212	−	0.126326i
$751$	1.89912	−	1.37979i	0.0692999	−	0.0503493i	−0.552596	−	0.833449i	$-0.686363\pi$
$751$	1.89912	−	1.37979i	0.0692999	−	0.0503493i	0.621896	+	0.783100i	$0.286363\pi$
$752$	1.46809	+	9.26913i	0.0535356	+	0.338010i
$753$	−24.1575	+	3.82618i	−0.880350	+	0.139434i
$754$	−26.2078	+	8.51542i	−0.954430	+	0.310113i
$755$	0.00325075	−	22.2734i	0.000118307	−	0.810612i
$756$	2.23127	−	0.724985i	0.0811507	−	0.0263674i
$757$	−6.86227	−	13.4680i	−0.249413	−	0.489501i	0.732025	−	0.681277i	$-0.238575\pi$
$757$	−6.86227	−	13.4680i	−0.249413	−	0.489501i	−0.981439	+	0.191776i	$0.938575\pi$
$758$	35.9816	−	5.69893i	1.30691	−	0.206994i
$759$	−3.52370	+	10.8448i	−0.127902	+	0.393642i
$760$	11.3313	+	1.79640i	0.411031	+	0.0651624i
$761$	−18.4097	+	25.3387i	−0.667350	+	0.918528i	−0.999697	−	0.0246290i	$-0.992160\pi$
$761$	−18.4097	+	25.3387i	−0.667350	+	0.918528i	0.332347	+	0.943157i	$0.392160\pi$
$762$	3.73927	−	1.90525i	0.135460	−	0.0690201i
$763$	−4.32715	−	2.20479i	−0.156653	−	0.0798188i
$764$	−4.95086	−	6.81428i	−0.179116	−	0.246532i
$765$	−10.4436	+	5.31935i	−0.377588	+	0.192321i
$766$	−7.55169	+	10.3940i	−0.272854	+	0.375551i
$767$	−1.70106	+	0.269421i	−0.0614217	+	0.00972824i
$768$	0.987688	+	0.156434i	0.0356401	+	0.00564484i
$769$		−	30.8553i		−	1.11267i	−0.830958	−	0.556335i	$-0.812207\pi$
$769$		−	30.8553i		−	1.11267i	0.830958	−	0.556335i	$-0.187793\pi$
$770$	5.37293	+	3.90486i	0.193627	+	0.140721i
$771$	−0.0193712	−	0.0266622i	−0.000697636	−	0.000960214i
$772$	−17.2234	+	8.77578i	−0.619885	+	0.315847i
$773$	−3.85657	+	7.56894i	−0.138711	+	0.272236i	−0.949903	−	0.312544i	$-0.898819\pi$
$773$	−3.85657	+	7.56894i	−0.138711	+	0.272236i	0.811192	+	0.584779i	$0.198819\pi$
$774$	−0.392375			−0.0141036
$775$	6.07261	−	27.1684i	0.218135	−	0.975919i
$776$	−3.82415			−0.137279
$777$	−5.86208	+	11.5050i	−0.210301	+	0.412739i
$778$	27.3456	−	13.9333i	0.980387	−	0.499532i
$779$	−1.33860	−	1.84243i	−0.0479605	−	0.0660119i
$780$	10.1723	+	7.39286i	0.364226	+	0.264707i
$781$		−	7.71867i		−	0.276196i
$782$	46.6250	+	7.38468i	1.66731	+	0.264075i
$783$	4.83974	−	0.766539i	0.172958	−	0.0273939i
$784$	0.879217	−	1.21014i	0.0314006	−	0.0432192i
$785$	−26.4347	+	13.4643i	−0.943495	+	0.480561i
$786$	11.9281	+	16.4176i	0.425460	+	0.585595i
$787$	−13.9023	−	7.08356i	−0.495562	−	0.252501i	0.188302	−	0.982111i	$-0.439702\pi$
$787$	−13.9023	−	7.08356i	−0.495562	−	0.252501i	−0.683864	+	0.729610i	$0.739702\pi$
$788$	15.2660	−	7.77842i	0.543829	−	0.277095i
$789$	7.73279	−	10.6433i	0.275295	−	0.378911i
$790$	−0.817963	−	0.129675i	−0.0291018	−	0.00461363i
$791$	−2.21554	+	6.81874i	−0.0787756	+	0.242446i
$792$	1.25051	−	0.198062i	0.0444350	−	0.00703782i
$793$	20.2964	+	39.8339i	0.720745	+	1.41454i
$794$	−36.0957	+	11.7282i	−1.28099	+	0.416218i
$795$	0.00228076	−	15.6272i	8.08901e−5	−	0.554241i
$796$	22.1880	−	7.20931i	0.786432	−	0.255527i
$797$	8.07424	−	1.27883i	0.286004	−	0.0452986i	−0.0117841	−	0.999931i	$-0.503751\pi$
$797$	8.07424	−	1.27883i	0.286004	−	0.0452986i	0.297788	+	0.954632i	$0.403751\pi$
$798$	1.88306	+	11.8892i	0.0666598	+	0.420873i
$799$	39.7949	−	28.9127i	1.40784	−	1.02286i
$800$	2.27125	−	4.45437i	0.0803009	−	0.157486i
$801$			5.31746i			0.187883i
$802$	−1.27322	+	8.03878i	−0.0449589	+	0.283859i
$803$	4.41452	+	8.66398i	0.155785	+	0.305745i
$804$	−3.06368	−	9.42903i	−0.108048	−	0.332536i
$805$	−27.7770	+	38.2200i	−0.979011	+	1.34708i
$806$	−15.9307	+	26.9558i	−0.561135	+	0.949479i
$807$	11.7579	+	11.7579i	0.413897	+	0.413897i
$808$	2.74167	+	1.39695i	0.0964517	+	0.0491446i
$809$	6.88101	−	21.1776i	0.241923	−	0.744564i	−0.754204	−	0.656640i	$-0.771977\pi$
$809$	6.88101	−	21.1776i	0.241923	−	0.744564i	0.996127	−	0.0879233i	$-0.0280231\pi$
$810$	−1.58091	−	1.58137i	−0.0555474	−	0.0555637i
$811$	−36.5860			−1.28471			−0.642353	−	0.766409i	$-0.722042\pi$
$811$	−36.5860			−1.28471			−0.642353	+	0.766409i	$0.722042\pi$
$812$	−8.12893	+	8.12893i	−0.285270	+	0.285270i
$813$	1.06560	−	6.72793i	0.0373722	−	0.235959i
$814$	−4.09586	+	5.63746i	−0.143560	+	0.197593i
$815$	−20.4980	−	10.4480i	−0.718015	−	0.365979i
$816$	−1.61970	−	4.98491i	−0.0567007	−	0.174507i
$817$	0.314934	−	1.98842i	0.0110182	−	0.0695659i
$818$	3.88131	−	7.61750i	0.135707	−	0.266340i
$819$	−4.07709	+	12.5480i	−0.142465	+	0.438463i
$820$	−0.943972	+	0.306563i	−0.0329649	+	0.0107056i
$821$	−32.6813	−	10.6188i	−1.14058	−	0.370598i	−0.322995	−	0.946401i	$-0.604690\pi$
$821$	−32.6813	−	10.6188i	−1.14058	−	0.370598i	−0.817589	+	0.575803i	$0.804690\pi$
$822$	−10.0958	+	5.14406i	−0.352131	+	0.179420i
$823$	1.14979	+	7.25946i	0.0400790	+	0.253049i	0.999590	−	0.0286211i	$-0.00911164\pi$
$823$	1.14979	+	7.25946i	0.0400790	+	0.253049i	−0.959511	+	0.281670i	$0.909112\pi$
$824$	−2.94334	−	0.956348i	−0.102536	−	0.0333160i
$825$	0.992134	−	6.25227i	0.0345417	−	0.217676i
$826$	−0.581276	+	0.422321i	−0.0202252	+	0.0146944i
$827$	−28.8232	−	14.6861i	−1.00228	−	0.510687i	−0.125764	−	0.992060i	$-0.540138\pi$
$827$	−28.8232	−	14.6861i	−1.00228	−	0.510687i	−0.876516	+	0.481373i	$0.840138\pi$
$828$	1.40890	+	8.89545i	0.0489627	+	0.309138i
$829$	−6.50076	−	4.72308i	−0.225781	−	0.164039i	0.469144	−	0.883122i	$-0.344562\pi$
$829$	−6.50076	−	4.72308i	−0.225781	−	0.164039i	−0.694925	+	0.719082i	$0.744562\pi$
$830$	0.00146056	−	10.0074i	5.06967e−5	−	0.347362i
$831$	−26.0869			−0.904943
$832$	−3.97655	+	3.97655i	−0.137862	+	0.137862i
$833$	−7.74369	−	1.22648i	−0.268303	−	0.0424950i
$834$	−1.20528	−	0.391620i	−0.0417355	−	0.0135607i
$835$	10.1124	+	19.8539i	0.349954	+	0.687072i
$836$			6.49612i			0.224673i
$837$	3.54774	−	4.29110i	0.122628	−	0.148322i
$838$	−24.0191	+	24.0191i	−0.829727	+	0.829727i
$839$	1.64297	−	0.533833i	0.0567216	−	0.0184300i	−0.280519	−	0.959849i	$-0.590506\pi$
$839$	1.64297	−	0.533833i	0.0567216	−	0.0184300i	0.337240	+	0.941419i	$0.390506\pi$
$840$	5.18133	+	0.821418i	0.178773	+	0.0283416i
$841$	4.03648	−	2.93268i	0.139189	−	0.101127i
$842$	17.6170	+	17.6170i	0.607122	+	0.607122i
$843$	16.4877	+	16.4877i	0.567866	+	0.567866i
$844$	12.7004	+	17.4807i	0.437167	+	0.601709i
$845$	−39.6123	+	12.8644i	−1.36271	+	0.442550i
$846$	7.59236	+	5.51617i	0.261031	+	0.189650i
$847$	10.0088	−	19.6434i	0.343907	−	0.674955i
$848$	6.90267	+	1.09328i	0.237039	+	0.0375432i
$849$	−3.62554	−	11.1583i	−0.124428	−	0.382950i
$850$	−26.2072	−	0.00764976i	−0.898900	−	0.000262385i
$851$	−40.1018	−	29.1357i	−1.37467	−	0.998757i
$852$	−2.76771	−	5.43195i	−0.0948203	−	0.186095i
$853$	23.6402	+	46.3966i	0.809426	+	1.58859i	0.808433	+	0.588588i	$0.200316\pi$
$853$	23.6402	+	46.3966i	0.809426	+	1.58859i	0.000993206		1.00000i	$0.499684\pi$
$854$	15.0888	+	10.9626i	0.516327	+	0.375134i
$855$	9.28271	−	6.74222i	0.317462	−	0.230579i
$856$	−1.32205	−	4.06887i	−0.0451869	−	0.139071i
$857$	−2.04541	−	0.323960i	−0.0698697	−	0.0110663i	0.121402	−	0.992603i	$-0.461261\pi$
$857$	−2.04541	−	0.323960i	−0.0698697	−	0.0110663i	−0.191271	+	0.981537i	$0.561261\pi$
$858$	−3.23249	+	6.34411i	−0.110355	+	0.216584i
$859$	−27.4623	−	19.9526i	−0.937003	−	0.680773i	0.0106942	−	0.999943i	$-0.496596\pi$
$859$	−27.4623	−	19.9526i	−0.937003	−	0.680773i	−0.947697	+	0.319170i	$0.896596\pi$
$860$	−0.781690	−	0.398435i	−0.0266554	−	0.0135865i
$861$	−0.612086	−	0.842464i	−0.0208598	−	0.0287111i
$862$	14.4130	+	14.4130i	0.490908	+	0.490908i
$863$	−27.0710	−	27.0710i	−0.921509	−	0.921509i	0.0756275	−	0.997136i	$-0.475904\pi$
$863$	−27.0710	−	27.0710i	−0.921509	−	0.921509i	−0.997136	+	0.0756275i	$0.975904\pi$
$864$	0.809017	−	0.587785i	0.0275233	−	0.0199969i
$865$	−8.50147	+	53.6255i	−0.289059	+	1.82332i
$866$	12.6999	−	4.12645i	0.431561	−	0.140223i
$867$	−7.40535	+	7.40535i	−0.251499	+	0.251499i
$868$	−0.816282	+	13.0370i	−0.0277064	+	0.442505i
$869$		−	0.468929i		−	0.0159073i
$870$	10.4201	+	3.38738i	0.353275	+	0.114843i
$871$	53.0260	+	17.2292i	1.79672	+	0.583789i
$872$	−2.04453	−	0.323822i	−0.0692366	−	0.0109660i
$873$	−2.70408	+	2.70408i	−0.0915194	+	0.0915194i
$874$	−46.2098			−1.56307
$875$	11.9185	−	23.3661i	0.402919	−	0.789917i
$876$	6.21335	+	4.51426i	0.209930	+	0.152523i
$877$	−2.68843	−	16.9741i	−0.0907820	−	0.573175i	−0.990587	−	0.136883i	$-0.956292\pi$
$877$	−2.68843	−	16.9741i	−0.0907820	−	0.573175i	0.899805	−	0.436292i	$-0.143708\pi$
$878$	23.4937	+	11.9706i	0.792874	+	0.403989i
$879$	−20.6397	+	14.9956i	−0.696159	+	0.505789i
$880$	2.69240	+	0.875247i	0.0907606	+	0.0295046i
$881$	20.3790	+	6.62154i	0.686586	+	0.223085i	0.631476	−	0.775395i	$-0.282449\pi$
$881$	20.3790	+	6.62154i	0.686586	+	0.223085i	0.0551094	+	0.998480i	$0.482449\pi$
$882$	−0.233997	−	1.47740i	−0.00787908	−	0.0497465i
$883$	14.5818	−	7.42979i	0.490716	−	0.250032i	−0.191080	−	0.981574i	$-0.561199\pi$
$883$	14.5818	−	7.42979i	0.490716	−	0.250032i	0.681796	+	0.731542i	$0.261199\pi$
$884$	28.0336	+	9.10868i	0.942873	+	0.306358i
$885$	0.610115	+	0.310981i	0.0205088	+	0.0104535i
$886$	−2.89499	+	8.90987i	−0.0972591	+	0.299333i
$887$	9.22846	−	18.1119i	0.309861	−	0.608137i	−0.682586	−	0.730805i	$-0.739145\pi$
$887$	9.22846	−	18.1119i	0.309861	−	0.608137i	0.992448	+	0.122668i	$0.0391449\pi$
$888$	−0.860975	+	5.43598i	−0.0288924	+	0.182420i
$889$	3.04253	+	9.36395i	0.102043	+	0.314057i
$890$	−5.39959	+	10.5935i	−0.180995	+	0.355094i
$891$	0.744195	−	1.02430i	0.0249315	−	0.0343152i
$892$	2.03764	−	12.8651i	0.0682252	−	0.430757i
$893$	−34.0479	+	34.0479i	−1.13937	+	1.13937i
$894$	−19.5037			−0.652301
$895$	33.3567	+	0.00486833i	1.11499	+	0.000162730i
$896$	−0.724985	+	2.23127i	−0.0242200	+	0.0745416i
$897$	−45.1285	−	22.9941i	−1.50680	−	0.767751i
$898$	7.81788	+	7.81788i	0.260886	+	0.260886i
$899$	−5.94346	+	26.6271i	−0.198226	+	0.888065i
$900$	−1.54370	−	4.75573i	−0.0514566	−	0.158524i
$901$	−11.3196	−	34.8381i	−0.377110	−	1.16063i
$902$	−0.255130	−	0.500721i	−0.00849491	−	0.0166722i
$903$	0.144006	−	0.909217i	0.00479221	−	0.0302568i
$904$			3.05598i			0.101640i
$905$	25.2910	−	34.7994i	0.840701	−	1.15677i
$906$	8.05859	−	5.85491i	0.267729	−	0.194516i
$907$	3.66135	+	23.1169i	0.121573	+	0.767583i	0.970859	+	0.239650i	$0.0770328\pi$
$907$	3.66135	+	23.1169i	0.121573	+	0.767583i	−0.849286	+	0.527933i	$0.822967\pi$
$908$	22.9562	−	3.63591i	0.761828	−	0.120662i
$909$	2.92645	−	0.950861i	0.0970642	−	0.0315381i
$910$	−20.8642	+	20.8581i	−0.691642	+	0.691440i
$911$	18.1674	−	5.90295i	0.601913	−	0.195573i	0.00781941	−	0.999969i	$-0.497511\pi$
$911$	18.1674	−	5.90295i	0.601913	−	0.195573i	0.594093	+	0.804396i	$0.297511\pi$
$912$	2.32934	+	4.57159i	0.0771322	+	0.151380i
$913$	5.59661	−	0.886416i	0.185221	−	0.0293361i
$914$	−11.3513	+	34.9358i	−0.375468	+	1.15557i
$915$	2.78335	−	17.5568i	0.0920146	−	0.580409i
$916$	11.1784	−	15.3857i	0.369343	−	0.508357i
$917$	−42.4208	+	21.6145i	−1.40086	+	0.713772i
$918$	−4.67016	−	2.37957i	−0.154138	−	0.0785374i
$919$	−11.2069	−	15.4250i	−0.369682	−	0.508824i	0.583132	−	0.812377i	$-0.301827\pi$
$919$	−11.2069	−	15.4250i	−0.369682	−	0.508824i	−0.952814	+	0.303554i	$0.901827\pi$
$920$	−6.22602	+	19.1522i	−0.205266	+	0.631429i
$921$	−12.5760	+	17.3094i	−0.414394	+	0.570365i
$922$	−17.6488	+	2.79530i	−0.581234	+	0.0920584i
$923$	33.8623	+	5.36326i	1.11459	+	0.176534i
$924$			2.97040i			0.0977189i
$925$	24.5157	+	12.5004i	0.806071	+	0.411010i
$926$	−6.36129	−	8.75556i	−0.209045	−	0.287726i
$927$	−2.75749	+	1.40501i	−0.0905679	+	0.0461467i
$928$	−2.22458	+	4.36599i	−0.0730255	+	0.143321i
$929$	5.78297			0.189733			0.0948665	−	0.995490i	$-0.469758\pi$
$929$	5.78297			0.189733			0.0948665	+	0.995490i	$0.469758\pi$
$930$	11.4252	−	4.94622i	0.374647	−	0.162193i
$931$	7.67474			0.251529
$932$	6.62483	−	13.0020i	0.217003	−	0.425893i
$933$	13.3772	−	6.81603i	0.437950	−	0.223147i
$934$	0.0921158	+	0.126787i	0.00301412	+	0.00414858i
$935$	−2.31919	−	14.6566i	−0.0758456	−	0.479323i
$936$			5.62370i			0.183816i
$937$	−10.6879	−	1.69279i	−0.349157	−	0.0553010i	−0.0206071	−	0.999788i	$-0.506560\pi$
$937$	−10.6879	−	1.69279i	−0.349157	−	0.0553010i	−0.328550	+	0.944487i	$0.606560\pi$
$938$	22.9735	−	3.63865i	0.750112	−	0.118806i
$939$	13.3636	−	18.3934i	0.436104	−	0.600245i
$940$	9.52415	+	18.6990i	0.310644	+	0.609893i
$941$	26.2356	+	36.1102i	0.855256	+	1.17716i	0.982680	+	0.185310i	$0.0593289\pi$
$941$	26.2356	+	36.1102i	0.855256	+	1.17716i	−0.127425	+	0.991848i	$0.540671\pi$
$942$	−11.8211	−	6.02314i	−0.385152	−	0.196245i
$943$	3.56185	−	1.81485i	0.115990	−	0.0590998i
$944$	−0.180010	+	0.247762i	−0.00585882	+	0.00806398i
$945$	4.24459	−	3.08293i	0.138076	−	0.100288i
$946$	0.153515	−	0.472471i	0.00499121	−	0.0153614i
$947$	−38.0102	+	6.02022i	−1.23516	+	0.195631i	−0.739664	−	0.672976i	$-0.765016\pi$
$947$	−38.0102	+	6.02022i	−1.23516	+	0.195631i	−0.495501	+	0.868607i	$0.665016\pi$
$948$	−0.168146	−	0.330004i	−0.00546111	−	0.0107180i
$949$	−41.0768	+	13.3467i	−1.33341	+	0.433251i
$950$	25.3394	−	4.00578i	0.822119	−	0.129965i
$951$	1.51235	−	0.491393i	0.0490414	−	0.0159345i
$952$	12.1456	−	1.92367i	0.393640	−	0.0623464i
$953$	9.17551	+	57.9319i	0.297224	+	1.87660i	0.457032	+	0.889450i	$0.348913\pi$
$953$	9.17551	+	57.9319i	0.297224	+	1.87660i	−0.159808	+	0.987148i	$0.551087\pi$
$954$	5.65399	−	4.10786i	0.183055	−	0.132997i
$955$	−15.2356	−	11.0727i	−0.493012	−	0.358304i
$956$		−	18.9059i		−	0.611460i
$957$	−0.970515	+	6.12759i	−0.0313723	+	0.198077i
$958$	−9.17742	−	18.0117i	−0.296509	−	0.581931i
$959$	−8.21463	−	25.2820i	−0.265264	−	0.816400i
$960$	2.20859	−	0.349476i	0.0712819	−	0.0112793i
$961$	14.9507	+	27.1565i	0.482281	+	0.876017i
$962$	−21.8859	−	21.8859i	−0.705630	−	0.705630i
$963$	−3.81196	−	1.94229i	−0.122839	−	0.0625894i
$964$	1.37268	−	4.22467i	0.0442110	−	0.136067i
$965$	−30.5684	+	30.5595i	−0.984031	+	0.983744i
$966$	−21.1298			−0.679839
$967$	2.05375	−	2.05375i	0.0660441	−	0.0660441i	−0.673313	−	0.739357i	$-0.735129\pi$
$967$	2.05375	−	2.05375i	0.0660441	−	0.0660441i	0.739357	+	0.673313i	$0.235129\pi$
$968$	1.47001	−	9.28130i	0.0472480	−	0.298312i
$969$	15.8072	−	21.7568i	0.507802	−	0.698929i
$970$	−8.13293	+	2.64124i	−0.261133	+	0.0848050i
$971$	14.5614	+	44.8153i	0.467297	+	1.43819i	0.856071	+	0.516859i	$0.172899\pi$
$971$	14.5614	+	44.8153i	0.467297	+	1.43819i	−0.388774	+	0.921333i	$0.627101\pi$
$972$	0.156434	−	0.987688i	0.00501764	−	0.0316801i
$973$	1.34982	−	2.64917i	0.0432732	−	0.0849285i
$974$	10.7202	−	32.9935i	0.343499	−	1.05718i
$975$	26.7397	+	8.69689i	0.856357	+	0.278523i
$976$	7.56060	+	2.45659i	0.242009	+	0.0786335i
$977$	−30.8410	+	15.7143i	−0.986690	+	0.502744i	−0.871392	−	0.490587i	$-0.836782\pi$
$977$	−30.8410	+	15.7143i	−0.986690	+	0.502744i	−0.115298	+	0.993331i	$0.536782\pi$
$978$	−1.60958	−	10.1625i	−0.0514685	−	0.324960i
$979$	−6.40293	−	2.08044i	−0.204639	−	0.0664911i
$980$	1.03405	−	3.18089i	0.0330314	−	0.101610i
$981$	−1.67468	+	1.21673i	−0.0534684	+	0.0388471i
$982$	−29.0835	−	14.8188i	−0.928091	−	0.472886i
$983$	6.98866	+	44.1247i	0.222904	+	1.40736i	0.804535	+	0.593906i	$0.202415\pi$
$983$	6.98866	+	44.1247i	0.222904	+	1.40736i	−0.581631	+	0.813453i	$0.697585\pi$
$984$	−0.359091	−	0.260895i	−0.0114474	−	0.00831703i
$985$	27.0943	−	27.0864i	0.863297	−	0.863045i
$986$	25.6834			0.817927
$987$	−15.5686	+	15.5686i	−0.495555	+	0.495555i
$988$	−28.4989	−	4.51378i	−0.906671	−	0.143603i
$989$	3.36090	+	1.09202i	0.106870	+	0.0347243i
$990$	2.52270	−	1.28492i	0.0801768	−	0.0408374i
$991$			32.6792i			1.03809i	0.854747	+	0.519045i	$0.173712\pi$
$991$			32.6792i			1.03809i	−0.854747	+	0.519045i	$0.826288\pi$
$992$	1.38627	+	5.39243i	0.0440141	+	0.171210i
$993$	−4.42860	+	4.42860i	−0.140537	+	0.140537i
$994$	13.6028	−	4.41981i	0.431454	−	0.140188i
$995$	42.2085	−	30.6569i	1.33810	−	0.971888i
$996$	3.62072	−	2.63060i	0.114727	−	0.0833539i
$997$	−13.6981	−	13.6981i	−0.433822	−	0.433822i	0.456104	−	0.889926i	$-0.349244\pi$
$997$	−13.6981	−	13.6981i	−0.433822	−	0.433822i	−0.889926	+	0.456104i	$0.849244\pi$
$998$	10.4267	+	10.4267i	0.330051	+	0.330051i
$999$	3.23502	+	4.45262i	0.102351	+	0.140875i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	930.2.bj.a.337.2	✓	128
5.3	odd	4		930.2.bj.b.523.10	yes	128
31.23	odd	10		930.2.bj.b.457.10	yes	128
155.23	even	20	inner	930.2.bj.a.643.2	yes	128

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
930.2.bj.a.337.2	✓	128	1.1	even	1	trivial
930.2.bj.a.643.2	yes	128	155.23	even	20	inner
930.2.bj.b.457.10	yes	128	31.23	odd	10
930.2.bj.b.523.10	yes	128	5.3	odd	4

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:	\( N \)	\(=\)	\( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	930.bj (of order \(20\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.453990 + 0.891007i) q^{2} +(-0.891007 + 0.453990i) q^{3} +(-0.587785 - 0.809017i) q^{4} +(-1.80883 - 1.31459i) q^{5} -1.00000i q^{6} +(2.31722 + 0.367011i) q^{7} +(0.987688 - 0.156434i) q^{8} +(0.587785 - 0.809017i) q^{9} +O(q^{10})\)	\(q+(-0.453990 + 0.891007i) q^{2} +(-0.891007 + 0.453990i) q^{3} +(-0.587785 - 0.809017i) q^{4} +(-1.80883 - 1.31459i) q^{5} -1.00000i q^{6} +(2.31722 + 0.367011i) q^{7} +(0.987688 - 0.156434i) q^{8} +(0.587785 - 0.809017i) q^{9} +(1.99250 - 1.01486i) q^{10} +(0.744195 + 1.02430i) q^{11} +(0.891007 + 0.453990i) q^{12} +(-5.01075 + 2.55310i) q^{13} +(-1.37900 + 1.89804i) q^{14} +(2.20849 + 0.350120i) q^{15} +(-0.309017 + 0.951057i) q^{16} +(5.17691 - 0.819943i) q^{17} +(0.453990 + 0.891007i) q^{18} +(-4.87969 + 1.58551i) q^{19} +(-0.000326349 + 2.23607i) q^{20} +(-2.23127 + 0.724985i) q^{21} +(-1.25051 + 0.198062i) q^{22} +(-1.40890 - 8.89545i) q^{23} +(-0.809017 + 0.587785i) q^{24} +(1.54370 + 4.75573i) q^{25} -5.62370i q^{26} +(-0.156434 + 0.987688i) q^{27} +(-1.06511 - 2.09039i) q^{28} +(-1.51420 - 4.66024i) q^{29} +(-1.31459 + 1.80883i) q^{30} +(-4.79326 - 2.83278i) q^{31} +(-0.707107 - 0.707107i) q^{32} +(-1.12810 - 0.574797i) q^{33} +(-1.61970 + 4.98491i) q^{34} +(-3.70897 - 3.71005i) q^{35} -1.00000 q^{36} +(3.89173 - 3.89173i) q^{37} +(0.802636 - 5.06765i) q^{38} +(3.30553 - 4.54967i) q^{39} +(-1.99220 - 1.01544i) q^{40} +(0.137161 + 0.422137i) q^{41} +(0.367011 - 2.31722i) q^{42} +(-0.178134 + 0.349608i) q^{43} +(0.391246 - 1.20413i) q^{44} +(-2.12673 + 0.690673i) q^{45} +(8.56553 + 2.78311i) q^{46} +(8.36180 - 4.26055i) q^{47} +(-0.156434 - 0.987688i) q^{48} +(-1.42260 - 0.462232i) q^{49} +(-4.93821 - 0.783614i) q^{50} +(-4.24042 + 3.08084i) q^{51} +(5.01075 + 2.55310i) q^{52} +(-1.09328 - 6.90267i) q^{53} +(-0.809017 - 0.587785i) q^{54} +(0.000413190 - 2.83109i) q^{55} +2.34610 q^{56} +(3.62803 - 3.62803i) q^{57} +(4.83974 + 0.766539i) q^{58} +(0.291262 + 0.0946368i) q^{59} +(-1.01486 - 1.99250i) q^{60} -7.94968i q^{61} +(4.70012 - 2.98477i) q^{62} +(1.65894 - 1.65894i) q^{63} +(0.951057 - 0.309017i) q^{64} +(12.4199 + 1.96897i) q^{65} +(1.02430 - 0.744195i) q^{66} +(-7.01045 - 7.01045i) q^{67} +(-3.70626 - 3.70626i) q^{68} +(5.29379 + 7.28628i) q^{69} +(4.98952 - 1.62039i) q^{70} +(-4.93210 - 3.58338i) q^{71} +(0.453990 - 0.891007i) q^{72} +(7.58557 + 1.20144i) q^{73} +(1.70075 + 5.23437i) q^{74} +(-3.53450 - 3.53657i) q^{75} +(4.15092 + 3.01582i) q^{76} +(1.34853 + 2.64664i) q^{77} +(2.55310 + 5.01075i) q^{78} +(-0.299638 - 0.217699i) q^{79} +(1.80921 - 1.31406i) q^{80} +(-0.309017 - 0.951057i) q^{81} +(-0.438396 - 0.0694352i) q^{82} +(2.03181 - 3.98766i) q^{83} +(1.89804 + 1.37900i) q^{84} +(-10.4420 - 5.32240i) q^{85} +(-0.230632 - 0.317438i) q^{86} +(3.46487 + 3.46487i) q^{87} +(0.895268 + 0.895268i) q^{88} +(-4.30192 + 3.12553i) q^{89} +(0.350120 - 2.20849i) q^{90} +(-12.5480 + 4.07709i) q^{91} +(-6.36844 + 6.36844i) q^{92} +(5.55688 + 0.347932i) q^{93} +9.38467i q^{94} +(10.9108 + 3.54690i) q^{95} +(0.951057 + 0.309017i) q^{96} +(-3.77707 - 0.598229i) q^{97} +(1.05770 - 1.05770i) q^{98} +1.26610 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 128 q - 16 q^{7}+O(q^{10}) \) 128 * q - 16 * q^7	\( 128 q - 16 q^{7} - 4 q^{10} + 4 q^{15} + 32 q^{16} - 12 q^{17} - 40 q^{19} + 40 q^{21} + 16 q^{22} - 32 q^{24} - 8 q^{25} - 4 q^{28} + 8 q^{29} + 20 q^{31} + 4 q^{33} + 24 q^{35} - 128 q^{36} + 64 q^{37} - 16 q^{38} - 24 q^{41} + 4 q^{42} + 24 q^{43} - 8 q^{44} + 20 q^{46} + 108 q^{47} - 100 q^{49} - 24 q^{50} + 16 q^{53} - 32 q^{54} + 12 q^{55} + 16 q^{57} - 40 q^{58} - 16 q^{62} - 4 q^{63} + 36 q^{65} - 12 q^{66} - 32 q^{67} + 8 q^{68} - 32 q^{70} + 24 q^{71} + 60 q^{73} - 16 q^{74} + 24 q^{75} - 24 q^{76} - 20 q^{77} - 56 q^{79} + 32 q^{81} - 16 q^{82} - 8 q^{83} - 132 q^{85} - 20 q^{87} - 4 q^{88} + 136 q^{89} - 40 q^{91} - 64 q^{93} + 108 q^{95} + 64 q^{97} - 16 q^{98} - 8 q^{99}+O(q^{100}) \) 128 * q - 16 * q^7 - 4 * q^10 + 4 * q^15 + 32 * q^16 - 12 * q^17 - 40 * q^19 + 40 * q^21 + 16 * q^22 - 32 * q^24 - 8 * q^25 - 4 * q^28 + 8 * q^29 + 20 * q^31 + 4 * q^33 + 24 * q^35 - 128 * q^36 + 64 * q^37 - 16 * q^38 - 24 * q^41 + 4 * q^42 + 24 * q^43 - 8 * q^44 + 20 * q^46 + 108 * q^47 - 100 * q^49 - 24 * q^50 + 16 * q^53 - 32 * q^54 + 12 * q^55 + 16 * q^57 - 40 * q^58 - 16 * q^62 - 4 * q^63 + 36 * q^65 - 12 * q^66 - 32 * q^67 + 8 * q^68 - 32 * q^70 + 24 * q^71 + 60 * q^73 - 16 * q^74 + 24 * q^75 - 24 * q^76 - 20 * q^77 - 56 * q^79 + 32 * q^81 - 16 * q^82 - 8 * q^83 - 132 * q^85 - 20 * q^87 - 4 * q^88 + 136 * q^89 - 40 * q^91 - 64 * q^93 + 108 * q^95 + 64 * q^97 - 16 * q^98 - 8 * q^99

Introduction

L-functions

Modular forms

Varieties

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Database

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