LMFDB - Embedded newform 930.2.bj.b.277.9

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			277.9
Character	$\chi$	$=$	930.277
Dual form			930.2.bj.b.883.9

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.156434 + 0.987688i) q^{2} +(0.987688 + 0.156434i) q^{3} +(-0.951057 + 0.309017i) q^{4} +(-2.23524 - 0.0607951i) q^{5} +1.00000i q^{6} +(0.773249 - 1.51759i) q^{7} +(-0.453990 - 0.891007i) q^{8} +(0.951057 + 0.309017i) q^{9} +O(q^{10})$	\(q+(0.156434 + 0.987688i) q^{2} +(0.987688 + 0.156434i) q^{3} +(-0.951057 + 0.309017i) q^{4} +(-2.23524 - 0.0607951i) q^{5} +1.00000i q^{6} +(0.773249 - 1.51759i) q^{7} +(-0.453990 - 0.891007i) q^{8} +(0.951057 + 0.309017i) q^{9} +(-0.289622 - 2.21723i) q^{10} +(-1.06916 + 0.347390i) q^{11} +(-0.987688 + 0.156434i) q^{12} +(-4.67131 - 0.739864i) q^{13} +(1.61986 + 0.526326i) q^{14} +(-2.19821 - 0.409715i) q^{15} +(0.809017 - 0.587785i) q^{16} +(-3.38138 - 6.63633i) q^{17} +(-0.156434 + 0.987688i) q^{18} +(2.09447 - 2.88279i) q^{19} +(2.14463 - 0.632908i) q^{20} +(1.00113 - 1.37794i) q^{21} +(-0.510367 - 1.00165i) q^{22} +(-5.75339 + 2.93150i) q^{23} +(-0.309017 - 0.951057i) q^{24} +(4.99261 + 0.271783i) q^{25} -4.72954i q^{26} +(0.891007 + 0.453990i) q^{27} +(-0.266443 + 1.68226i) q^{28} +(0.718522 + 0.522037i) q^{29} +(0.0607951 - 2.23524i) q^{30} +(-5.52653 - 0.676401i) q^{31} +(0.707107 + 0.707107i) q^{32} +(-1.11034 + 0.175860i) q^{33} +(6.02566 - 4.37790i) q^{34} +(-1.82066 + 3.34516i) q^{35} -1.00000 q^{36} +(3.84044 - 3.84044i) q^{37} +(3.17494 + 1.61771i) q^{38} +(-4.49806 - 1.46151i) q^{39} +(0.960610 + 2.01922i) q^{40} +(-3.44778 - 2.50496i) q^{41} +(1.51759 + 0.773249i) q^{42} +(-0.704703 - 4.44932i) q^{43} +(0.909480 - 0.660776i) q^{44} +(-2.10705 - 0.748547i) q^{45} +(-3.79544 - 5.22397i) q^{46} +(1.06815 + 0.169178i) q^{47} +(0.891007 - 0.453990i) q^{48} +(2.40934 + 3.31618i) q^{49} +(0.512579 + 4.97366i) q^{50} +(-2.30160 - 7.08359i) q^{51} +(4.67131 - 0.739864i) q^{52} +(0.288633 - 0.147066i) q^{53} +(-0.309017 + 0.951057i) q^{54} +(2.41094 - 0.711502i) q^{55} -1.70323 q^{56} +(2.51965 - 2.51965i) q^{57} +(-0.403208 + 0.791340i) q^{58} +(-4.08812 - 5.62681i) q^{59} +(2.21723 - 0.289622i) q^{60} -5.10128i q^{61} +(-0.196465 - 5.56430i) q^{62} +(1.20436 - 1.20436i) q^{63} +(-0.587785 + 0.809017i) q^{64} +(10.3965 + 1.93777i) q^{65} +(-0.347390 - 1.06916i) q^{66} +(-0.00891228 - 0.00891228i) q^{67} +(5.26662 + 5.26662i) q^{68} +(-6.14114 + 1.99538i) q^{69} +(-3.58879 - 1.27495i) q^{70} +(-2.66108 + 8.18995i) q^{71} +(-0.156434 - 0.987688i) q^{72} +(4.80749 - 9.43524i) q^{73} +(4.39394 + 3.19238i) q^{74} +(4.88862 + 1.04945i) q^{75} +(-1.10113 + 3.38892i) q^{76} +(-0.299530 + 1.89116i) q^{77} +(0.739864 - 4.67131i) q^{78} +(1.95879 - 6.02854i) q^{79} +(-1.84408 + 1.26466i) q^{80} +(0.809017 + 0.587785i) q^{81} +(1.93477 - 3.79719i) q^{82} +(0.122251 + 0.771863i) q^{83} +(-0.526326 + 1.61986i) q^{84} +(7.15474 + 15.0394i) q^{85} +(4.28430 - 1.39205i) q^{86} +(0.628011 + 0.628011i) q^{87} +(0.794914 + 0.794914i) q^{88} +(-1.91214 - 5.88497i) q^{89} +(0.409715 - 2.19821i) q^{90} +(-4.73489 + 6.51702i) q^{91} +(4.56592 - 4.56592i) q^{92} +(-5.35267 - 1.53261i) q^{93} +1.08146i q^{94} +(-4.85690 + 6.31639i) q^{95} +(0.587785 + 0.809017i) q^{96} +(-5.22675 + 10.2581i) q^{97} +(-2.89844 + 2.89844i) q^{98} -1.12418 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 128 q + 4 q^{7}+O(q^{10}) $ 128 * q + 4 * q^7	$ 128 q + 4 q^{7} - 4 q^{10} - 4 q^{15} + 32 q^{16} + 12 q^{17} + 40 q^{19} + 40 q^{21} + 4 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} + 16 q^{42} - 24 q^{43} + 8 q^{44} + 20 q^{46} - 12 q^{47} + 100 q^{49} - 24 q^{50} + 64 q^{53} + 32 q^{54} + 68 q^{55} - 16 q^{57} + 40 q^{58} + 8 q^{62} - 4 q^{63} + 84 q^{65} - 12 q^{66} - 32 q^{67} - 8 q^{68} + 88 q^{70} + 24 q^{71} + 20 q^{73} + 16 q^{74} - 24 q^{75} - 24 q^{76} + 60 q^{77} + 56 q^{79} + 32 q^{81} - 16 q^{82} + 8 q^{83} - 68 q^{85} - 20 q^{87} + 4 q^{88} - 136 q^{89} - 40 q^{91} + 48 q^{93} - 92 q^{95} + 64 q^{97} - 16 q^{98} + 8 q^{99}+O(q^{100}) $ 128 * q + 4 * q^7 - 4 * q^10 - 4 * q^15 + 32 * q^16 + 12 * q^17 + 40 * q^19 + 40 * q^21 + 4 * 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 + 16 * q^42 - 24 * q^43 + 8 * q^44 + 20 * q^46 - 12 * q^47 + 100 * q^49 - 24 * q^50 + 64 * q^53 + 32 * q^54 + 68 * q^55 - 16 * q^57 + 40 * q^58 + 8 * q^62 - 4 * q^63 + 84 * q^65 - 12 * q^66 - 32 * q^67 - 8 * q^68 + 88 * q^70 + 24 * q^71 + 20 * q^73 + 16 * q^74 - 24 * q^75 - 24 * q^76 + 60 * q^77 + 56 * q^79 + 32 * q^81 - 16 * q^82 + 8 * q^83 - 68 * q^85 - 20 * q^87 + 4 * q^88 - 136 * q^89 - 40 * q^91 + 48 * q^93 - 92 * 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 $\left(\mathbb{Z}/930\mathbb{Z}\right)^\times$.

$n$	$187$	$311$	$871$
$\chi(n)$	$e\left(\frac{1}{4}\right)$	$1$	$e\left(\frac{3}{10}\right)$

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 $

$2$	0.156434	+	0.987688i	0.110616	+	0.698401i
$2$	0.156434	+	0.987688i	0.110616	+	0.698401i
$3$	0.987688	+	0.156434i	0.570242	+	0.0903175i
$3$	0.987688	+	0.156434i	0.570242	+	0.0903175i
$4$	−0.951057	+	0.309017i	−0.475528	+	0.154508i
$5$	−2.23524	−	0.0607951i	−0.999630	−	0.0271884i
$5$	−2.23524	−	0.0607951i	−0.999630	−	0.0271884i
$6$			1.00000i			0.408248i
$7$	0.773249	−	1.51759i	0.292260	−	0.573594i	−0.697457	−	0.716626i	$-0.745685\pi$
$7$	0.773249	−	1.51759i	0.292260	−	0.573594i	0.989718	+	0.143033i	$0.0456854\pi$
$8$	−0.453990	−	0.891007i	−0.160510	−	0.315018i
$9$	0.951057	+	0.309017i	0.317019	+	0.103006i
$10$	−0.289622	−	2.21723i	−0.0915866	−	0.701150i
$11$	−1.06916	+	0.347390i	−0.322363	+	0.104742i	−0.465728	−	0.884928i	$-0.654208\pi$
$11$	−1.06916	+	0.347390i	−0.322363	+	0.104742i	0.143365	+	0.989670i	$0.454208\pi$
$12$	−0.987688	+	0.156434i	−0.285121	+	0.0451587i
$13$	−4.67131	−	0.739864i	−1.29559	−	0.205201i	−0.529706	−	0.848181i	$-0.677698\pi$
$13$	−4.67131	−	0.739864i	−1.29559	−	0.205201i	−0.765883	+	0.642980i	$0.777698\pi$
$14$	1.61986	+	0.526326i	0.432927	+	0.140667i
$15$	−2.19821	−	0.409715i	−0.567576	−	0.105788i
$16$	0.809017	−	0.587785i	0.202254	−	0.146946i
$17$	−3.38138	−	6.63633i	−0.820104	−	1.60955i	−0.792457	−	0.609928i	$-0.791198\pi$
$17$	−3.38138	−	6.63633i	−0.820104	−	1.60955i	−0.0276474	−	0.999618i	$-0.508802\pi$
$18$	−0.156434	+	0.987688i	−0.0368720	+	0.232800i
$19$	2.09447	−	2.88279i	0.480504	−	0.661357i	−0.498098	−	0.867121i	$-0.665968\pi$
$19$	2.09447	−	2.88279i	0.480504	−	0.661357i	0.978602	+	0.205764i	$0.0659679\pi$
$20$	2.14463	−	0.632908i	0.479553	−	0.141523i
$21$	1.00113	−	1.37794i	0.218465	−	0.300691i
$22$	−0.510367	−	1.00165i	−0.108811	−	0.213553i
$23$	−5.75339	+	2.93150i	−1.19966	+	0.611260i	−0.935537	−	0.353228i	$-0.885084\pi$
$23$	−5.75339	+	2.93150i	−1.19966	+	0.611260i	−0.264127	+	0.964488i	$0.585084\pi$
$24$	−0.309017	−	0.951057i	−0.0630778	−	0.194134i
$25$	4.99261	+	0.271783i	0.998522	+	0.0543567i
$26$		−	4.72954i		−	0.927540i
$27$	0.891007	+	0.453990i	0.171474	+	0.0873705i
$28$	−0.266443	+	1.68226i	−0.0503531	+	0.317917i
$29$	0.718522	+	0.522037i	0.133426	+	0.0969397i	0.652496	−	0.757792i	$-0.273722\pi$
$29$	0.718522	+	0.522037i	0.133426	+	0.0969397i	−0.519070	+	0.854732i	$0.673722\pi$
$30$	0.0607951	−	2.23524i	0.0110996	−	0.408097i
$31$	−5.52653	−	0.676401i	−0.992593	−	0.121485i
$31$	−5.52653	−	0.676401i	−0.992593	−	0.121485i
$32$	0.707107	+	0.707107i	0.125000	+	0.125000i
$33$	−1.11034	+	0.175860i	−0.193285	+	0.0306134i
$34$	6.02566	−	4.37790i	1.03339	−	0.750803i
$35$	−1.82066	+	3.34516i	−0.307748	+	0.565435i
$36$	−1.00000			−0.166667
$37$	3.84044	−	3.84044i	0.631365	−	0.631365i	−0.317045	−	0.948410i	$-0.602691\pi$
$37$	3.84044	−	3.84044i	0.631365	−	0.631365i	0.948410	+	0.317045i	$0.102691\pi$
$38$	3.17494	+	1.61771i	0.515044	+	0.262428i
$39$	−4.49806	−	1.46151i	−0.720266	−	0.234029i
$40$	0.960610	+	2.01922i	0.151886	+	0.319266i
$41$	−3.44778	−	2.50496i	−0.538453	−	0.391209i	0.285057	−	0.958510i	$-0.407987\pi$
$41$	−3.44778	−	2.50496i	−0.538453	−	0.391209i	−0.823510	+	0.567302i	$0.807987\pi$
$42$	1.51759	+	0.773249i	0.234169	+	0.119315i
$43$	−0.704703	−	4.44932i	−0.107466	−	0.678515i	−0.981328	−	0.192341i	$-0.938392\pi$
$43$	−0.704703	−	4.44932i	−0.107466	−	0.678515i	0.873862	−	0.486174i	$-0.161608\pi$
$44$	0.909480	−	0.660776i	0.137109	−	0.0996157i
$45$	−2.10705	−	0.748547i	−0.314101	−	0.111587i
$46$	−3.79544	−	5.22397i	−0.559606	−	0.770232i
$47$	1.06815	+	0.169178i	0.155805	+	0.0246772i	0.233850	−	0.972273i	$-0.424868\pi$
$47$	1.06815	+	0.169178i	0.155805	+	0.0246772i	−0.0780444	+	0.996950i	$0.524868\pi$
$48$	0.891007	−	0.453990i	0.128606	−	0.0655279i
$49$	2.40934	+	3.31618i	0.344192	+	0.473740i
$50$	0.512579	+	4.97366i	0.0724896	+	0.703381i
$51$	−2.30160	−	7.08359i	−0.322288	−	0.991900i
$52$	4.67131	−	0.739864i	0.647795	−	0.102601i
$53$	0.288633	−	0.147066i	0.0396468	−	0.0202011i	−0.434055	−	0.900887i	$-0.642918\pi$
$53$	0.288633	−	0.147066i	0.0396468	−	0.0202011i	0.473702	+	0.880685i	$0.342918\pi$
$54$	−0.309017	+	0.951057i	−0.0420519	+	0.129422i
$55$	2.41094	−	0.711502i	0.325092	−	0.0959389i
$56$	−1.70323			−0.227603
$57$	2.51965	−	2.51965i	0.333736	−	0.333736i
$58$	−0.403208	+	0.791340i	−0.0529438	+	0.103908i
$59$	−4.08812	−	5.62681i	−0.532228	−	0.732549i	0.455240	−	0.890369i	$-0.349553\pi$
$59$	−4.08812	−	5.62681i	−0.532228	−	0.732549i	−0.987468	+	0.157820i	$0.949553\pi$
$60$	2.21723	−	0.289622i	0.286243	−	0.0373901i
$61$		−	5.10128i		−	0.653152i	−0.945171	−	0.326576i	$-0.894105\pi$
$61$		−	5.10128i		−	0.653152i	0.945171	−	0.326576i	$-0.105895\pi$
$62$	−0.196465	−	5.56430i	−0.0249511	−	0.706666i
$63$	1.20436	−	1.20436i	0.151735	−	0.151735i
$64$	−0.587785	+	0.809017i	−0.0734732	+	0.101127i
$65$	10.3965	+	1.93777i	1.28953	+	0.240350i
$66$	−0.347390	−	1.06916i	−0.0427608	−	0.131604i
$67$	−0.00891228	−	0.00891228i	−0.00108881	−	0.00108881i	0.706562	−	0.707651i	$-0.250245\pi$
$67$	−0.00891228	−	0.00891228i	−0.00108881	−	0.00108881i	−0.707651	+	0.706562i	$0.750245\pi$
$68$	5.26662	+	5.26662i	0.638671	+	0.638671i
$69$	−6.14114	+	1.99538i	−0.739307	+	0.240215i
$70$	−3.58879	−	1.27495i	−0.428942	−	0.152385i
$71$	−2.66108	+	8.18995i	−0.315812	+	0.971968i	0.659607	+	0.751610i	$0.270723\pi$
$71$	−2.66108	+	8.18995i	−0.315812	+	0.971968i	−0.975419	+	0.220358i	$0.929277\pi$
$72$	−0.156434	−	0.987688i	−0.0184360	−	0.116400i
$73$	4.80749	−	9.43524i	0.562675	−	1.10431i	−0.417960	−	0.908465i	$-0.637255\pi$
$73$	4.80749	−	9.43524i	0.562675	−	1.10431i	0.980635	−	0.195846i	$-0.0627452\pi$
$74$	4.39394	+	3.19238i	0.510785	+	0.371107i
$75$	4.88862	+	1.04945i	0.564490	+	0.121180i
$76$	−1.10113	+	3.38892i	−0.126308	+	0.388736i
$77$	−0.299530	+	1.89116i	−0.0341346	+	0.215517i
$78$	0.739864	−	4.67131i	0.0837731	−	0.528922i
$79$	1.95879	−	6.02854i	0.220381	−	0.678263i	−0.778347	−	0.627835i	$-0.783941\pi$
$79$	1.95879	−	6.02854i	0.220381	−	0.678263i	0.998728	−	0.0504284i	$-0.0160587\pi$
$80$	−1.84408	+	1.26466i	−0.206175	+	0.141393i
$81$	0.809017	+	0.587785i	0.0898908	+	0.0653095i
$82$	1.93477	−	3.79719i	0.213659	−	0.419330i
$83$	0.122251	+	0.771863i	0.0134188	+	0.0847230i	0.993489	−	0.113929i	$-0.0363436\pi$
$83$	0.122251	+	0.771863i	0.0134188	+	0.0847230i	−0.980070	+	0.198652i	$0.936344\pi$
$84$	−0.526326	+	1.61986i	−0.0574269	+	0.176742i
$85$	7.15474	+	15.0394i	0.776040	+	1.63125i
$86$	4.28430	−	1.39205i	0.461988	−	0.150109i
$87$	0.628011	+	0.628011i	0.0673298	+	0.0673298i
$88$	0.794914	+	0.794914i	0.0847382	+	0.0847382i
$89$	−1.91214	−	5.88497i	−0.202687	−	0.623805i	−0.999800	−	0.0199763i	$-0.993641\pi$
$89$	−1.91214	−	5.88497i	−0.202687	−	0.623805i	0.797114	−	0.603829i	$-0.206359\pi$
$90$	0.409715	−	2.19821i	0.0431878	−	0.231712i
$91$	−4.73489	+	6.51702i	−0.496352	+	0.683170i
$92$	4.56592	−	4.56592i	0.476030	−	0.476030i
$93$	−5.35267	−	1.53261i	−0.555046	−	0.158925i
$94$			1.08146i			0.111544i
$95$	−4.85690	+	6.31639i	−0.498307	+	0.648048i
$96$	0.587785	+	0.809017i	0.0599906	+	0.0825700i
$97$	−5.22675	+	10.2581i	−0.530696	+	1.04155i	0.457622	+	0.889147i	$0.348701\pi$
$97$	−5.22675	+	10.2581i	−0.530696	+	1.04155i	−0.988318	+	0.152404i	$0.951299\pi$
$98$	−2.89844	+	2.89844i	−0.292787	+	0.292787i
$99$	−1.12418			−0.112984
$100$	−4.83224	+	1.28432i	−0.483224	+	0.128432i
$101$	−5.21754	+	16.0579i	−0.519164	+	1.59782i	0.256411	+	0.966568i	$0.417460\pi$
$101$	−5.21754	+	16.0579i	−0.519164	+	1.59782i	−0.775575	+	0.631255i	$0.782540\pi$
$102$	6.63633	−	3.38138i	0.657094	−	0.334806i
$103$	−6.90207	+	1.09318i	−0.680081	+	0.107714i	−0.486912	−	0.873451i	$-0.661877\pi$
$103$	−6.90207	+	1.09318i	−0.680081	+	0.107714i	−0.193170	+	0.981165i	$0.561877\pi$
$104$	1.46151	+	4.49806i	0.143313	+	0.441071i
$105$	−2.32154	+	3.01916i	−0.226559	+	0.294640i
$106$	0.190407	+	0.262073i	0.0184940	+	0.0254548i
$107$	2.33578	−	1.19014i	0.225808	−	0.115055i	−0.337427	−	0.941352i	$-0.609557\pi$
$107$	2.33578	−	1.19014i	0.225808	−	0.115055i	0.563235	+	0.826297i	$0.309557\pi$
$108$	−0.987688	−	0.156434i	−0.0950404	−	0.0150529i
$109$	10.2899	+	14.1628i	0.985590	+	1.35655i	0.933763	+	0.357893i	$0.116505\pi$
$109$	10.2899	+	14.1628i	0.985590	+	1.35655i	0.0518278	+	0.998656i	$0.483495\pi$
$110$	1.07990	+	2.26996i	0.102964	+	0.216432i
$111$	4.39394	−	3.19238i	0.417054	−	0.303008i
$112$	−0.266443	−	1.68226i	−0.0251765	−	0.158958i
$113$	−7.02065	−	3.57720i	−0.660447	−	0.336515i	0.0914362	−	0.995811i	$-0.470854\pi$
$113$	−7.02065	−	3.57720i	−0.660447	−	0.336515i	−0.751883	+	0.659296i	$0.770854\pi$
$114$	2.88279	+	2.09447i	0.269998	+	0.196165i
$115$	13.0384	−	6.20283i	1.21584	−	0.578417i
$116$	−0.844673	−	0.274451i	−0.0784259	−	0.0254821i
$117$	−4.21405	−	2.14717i	−0.389589	−	0.198506i
$118$	4.91802	−	4.91802i	0.452740	−	0.452740i
$119$	−12.6858			−1.16291
$120$	0.632908	+	2.14463i	0.0577763	+	0.195777i
$121$	−7.87677	+	5.72281i	−0.716070	+	0.520255i
$122$	5.03848	−	0.798017i	0.456162	−	0.0722490i
$123$	−3.01347	−	3.01347i	−0.271716	−	0.271716i
$124$	5.46506	−	1.06449i	0.490777	−	0.0955944i
$125$	−11.1432	−	0.911028i	−0.996675	−	0.0814848i
$126$	1.37794	+	1.00113i	0.122757	+	0.0891879i
$127$	−2.15359	+	13.5972i	−0.191100	+	1.20656i	0.686488	+	0.727142i	$0.259152\pi$
$127$	−2.15359	+	13.5972i	−0.191100	+	1.20656i	−0.877588	+	0.479416i	$0.840848\pi$
$128$	−0.891007	−	0.453990i	−0.0787546	−	0.0401275i
$129$		−	4.50478i		−	0.396624i
$130$	−0.287533	+	10.5717i	−0.0252183	+	0.927197i
$131$	2.81187	+	8.65404i	0.245674	+	0.756107i	0.995525	+	0.0945000i	$0.0301252\pi$
$131$	2.81187	+	8.65404i	0.245674	+	0.756107i	−0.749851	+	0.661607i	$0.769875\pi$
$132$	1.00165	−	0.510367i	0.0871825	−	0.0444217i
$133$	−2.75533	−	5.40765i	−0.238918	−	0.468902i
$134$	0.00740836	−	0.0101967i	0.000639985	−	0.000880864i
$135$	−1.96401	−	1.06895i	−0.169035	−	0.0920003i
$136$	−4.37790	+	6.02566i	−0.375402	+	0.516696i
$137$	0.979516	−	6.18442i	0.0836857	−	0.528371i	−0.909858	−	0.414920i	$-0.863810\pi$
$137$	0.979516	−	6.18442i	0.0836857	−	0.528371i	0.993544	−	0.113451i	$-0.0361904\pi$
$138$	−2.93150	−	5.75339i	−0.249546	−	0.489761i
$139$	13.0096	−	9.45206i	1.10346	−	0.801713i	0.121842	−	0.992550i	$-0.461120\pi$
$139$	13.0096	−	9.45206i	1.10346	−	0.801713i	0.981622	+	0.190836i	$0.0611200\pi$
$140$	0.697838	−	3.74405i	0.0589781	−	0.316430i
$141$	1.02853	+	0.334191i	0.0866181	+	0.0281439i
$142$	−8.50540	−	1.34712i	−0.713758	−	0.113048i
$143$	5.25139	−	0.831739i	0.439144	−	0.0695535i
$144$	0.951057	−	0.309017i	0.0792547	−	0.0257514i
$145$	−1.57433	−	1.21056i	−0.130741	−	0.100532i
$146$	10.0711	+	3.27231i	0.833493	+	0.270818i
$147$	1.86092	+	3.65225i	0.153486	+	0.301233i
$148$	−2.46572	+	4.83924i	−0.202681	+	0.397783i
$149$			1.03917i			0.0851319i	0.999094	+	0.0425659i	$0.0135533\pi$
$149$			1.03917i			0.0851319i	−0.999094	+	0.0425659i	$0.986447\pi$
$150$	−0.271783	+	4.99261i	−0.0221910	+	0.407645i
$151$	10.9387	−	3.55420i	0.890179	−	0.289237i	0.172001	−	0.985097i	$-0.444977\pi$
$151$	10.9387	−	3.55420i	0.890179	−	0.289237i	0.718177	+	0.695860i	$0.244977\pi$
$152$	−3.51945	−	0.557426i	−0.285465	−	0.0452132i
$153$	−1.16514	−	7.35642i	−0.0941962	−	0.594732i
$154$	−1.91473			−0.154293
$155$	12.3120	+	1.84791i	0.988923	+	0.148427i
$156$	4.72954			0.378667
$157$	−3.47913	−	21.9664i	−0.277665	−	1.75311i	−0.594004	−	0.804462i	$-0.702454\pi$
$157$	−3.47913	−	21.9664i	−0.277665	−	1.75311i	0.316339	−	0.948646i	$-0.397546\pi$
$158$	6.26074	+	0.991603i	0.498077	+	0.0788877i
$159$	0.308086	−	0.100103i	0.0244328	−	0.00793869i
$160$	−1.53757	−	1.62354i	−0.121555	−	0.128352i
$161$			10.9980i			0.866767i
$162$	−0.453990	+	0.891007i	−0.0356689	+	0.0700041i
$163$	−0.745010	−	1.46217i	−0.0583537	−	0.114526i	0.859988	−	0.510315i	$-0.170471\pi$
$163$	−0.745010	−	1.46217i	−0.0583537	−	0.114526i	−0.918341	+	0.395789i	$0.870471\pi$
$164$	4.05311	+	1.31694i	0.316495	+	0.102835i
$165$	2.49257	−	0.325587i	0.194046	−	0.0253469i
$166$	−0.743236	+	0.241492i	−0.0576863	+	0.0187434i
$167$	−0.442713	+	0.0701188i	−0.0342582	+	0.00542596i	−0.173540	−	0.984827i	$-0.555521\pi$
$167$	−0.442713	+	0.0701188i	−0.0342582	+	0.00542596i	0.139282	+	0.990253i	$0.455521\pi$
$168$	−1.68226	−	0.266443i	−0.129789	−	0.0205565i
$169$	8.91005	+	2.89505i	0.685388	+	0.222696i
$170$	−13.7350	+	9.41933i	−1.05342	+	0.722429i
$171$	2.88279	−	2.09447i	0.220452	−	0.160168i
$172$	2.04513	+	4.01379i	0.155940	+	0.306049i
$173$	−1.68539	+	10.6412i	−0.128138	+	0.809032i	0.836983	+	0.547229i	$0.184317\pi$
$173$	−1.68539	+	10.6412i	−0.128138	+	0.809032i	−0.965121	+	0.261803i	$0.915683\pi$
$174$	−0.522037	+	0.718522i	−0.0395755	+	0.0544710i
$175$	4.27298	−	7.36655i	0.323007	−	0.556859i
$176$	−0.660776	+	0.909480i	−0.0498078	+	0.0685546i
$177$	−3.15756	−	6.19706i	−0.237337	−	0.465800i
$178$	5.51339	−	2.80921i	0.413246	−	0.210559i
$179$	0.148828	+	0.458045i	0.0111239	+	0.0342359i	0.956464	−	0.291849i	$-0.0942705\pi$
$179$	0.148828	+	0.458045i	0.0111239	+	0.0342359i	−0.945340	+	0.326085i	$0.894270\pi$
$180$	2.23524	+	0.0607951i	0.166605	+	0.00453140i
$181$		−	18.5396i		−	1.37804i	−0.724743	−	0.689019i	$-0.758042\pi$
$181$		−	18.5396i		−	1.37804i	0.724743	−	0.689019i	$-0.241958\pi$
$182$	−7.17749	−	3.65711i	−0.532031	−	0.271083i
$183$	0.798017	−	5.03848i	0.0589911	−	0.372455i
$184$	5.22397	+	3.79544i	0.385116	+	0.279803i
$185$	−8.81780	+	8.35084i	−0.648297	+	0.613966i
$186$	0.676401	−	5.52653i	0.0495961	−	0.405224i
$187$	5.92062	+	5.92062i	0.432959	+	0.432959i
$188$	−1.06815	+	0.169178i	−0.0779027	+	0.0123386i
$189$	1.37794	−	1.00113i	0.100230	−	0.0728216i
$190$	−6.99841	−	3.80900i	−0.507718	−	0.276334i
$191$	−14.2366			−1.03012			−0.515062	−	0.857153i	$-0.672231\pi$
$191$	−14.2366			−1.03012			−0.515062	+	0.857153i	$0.672231\pi$
$192$	−0.707107	+	0.707107i	−0.0510310	+	0.0510310i
$193$	−9.22693	−	4.70136i	−0.664169	−	0.338411i	0.0891954	−	0.996014i	$-0.471570\pi$
$193$	−9.22693	−	4.70136i	−0.664169	−	0.338411i	−0.753365	+	0.657603i	$0.771570\pi$
$194$	−10.9494	−	3.55769i	−0.786123	−	0.255427i
$195$	9.96540	+	3.54029i	0.713637	+	0.253525i
$196$	−3.31618	−	2.40934i	−0.236870	−	0.172096i
$197$	7.31467	+	3.72701i	0.521148	+	0.265538i	0.694717	−	0.719283i	$-0.255530\pi$
$197$	7.31467	+	3.72701i	0.521148	+	0.265538i	−0.173568	+	0.984822i	$0.555530\pi$
$198$	−0.175860	−	1.11034i	−0.0124978	−	0.0789083i
$199$	−10.3100	+	7.49065i	−0.730856	+	0.530998i	−0.889834	−	0.456284i	$-0.849180\pi$
$199$	−10.3100	+	7.49065i	−0.730856	+	0.530998i	0.158978	+	0.987282i	$0.449180\pi$
$200$	−2.02444	−	4.57183i	−0.143149	−	0.323277i
$201$	−0.00740836	−	0.0101967i	−0.000522546	−	0.000719223i
$202$	−16.6764	−	2.64129i	−1.17335	−	0.185840i
$203$	1.34783	−	0.686754i	0.0945992	−	0.0482007i
$204$	4.37790	+	6.02566i	0.306514	+	0.421880i
$205$	7.55433	+	5.80880i	0.527618	+	0.405704i
$206$	−2.15944	−	6.64609i	−0.150456	−	0.463055i
$207$	−6.37768	+	1.01013i	−0.443280	+	0.0702086i
$208$	−4.21405	+	2.14717i	−0.292192	+	0.148879i
$209$	−1.23786	+	3.80975i	−0.0856248	+	0.263526i
$210$	−3.34516	−	1.82066i	−0.230838	−	0.125637i
$211$	19.5953			1.34899			0.674496	−	0.738278i	$-0.264361\pi$
$211$	19.5953			1.34899			0.674496	+	0.738278i	$0.264361\pi$
$212$	−0.229060	+	0.229060i	−0.0157319	+	0.0157319i
$213$	−3.90950	+	7.67284i	−0.267875	+	0.525734i
$214$	1.54088	+	2.12084i	0.105333	+	0.144978i
$215$	1.30468	+	9.98815i	0.0889787	+	0.681186i
$216$		−	1.00000i		−	0.0680414i
$217$	−5.29987	+	7.86395i	−0.359779	+	0.533840i
$218$	−12.3787	+	12.3787i	−0.838393	+	0.838393i
$219$	6.22430	−	8.56702i	0.420599	−	0.578905i
$220$	−2.07308	+	1.42170i	−0.139767	+	0.0958511i
$221$	10.8855	+	33.5021i	0.732238	+	2.25360i
$222$	3.84044	+	3.84044i	0.257754	+	0.257754i
$223$	−6.92964	−	6.92964i	−0.464043	−	0.464043i	0.435935	−	0.899978i	$-0.356418\pi$
$223$	−6.92964	−	6.92964i	−0.464043	−	0.464043i	−0.899978	+	0.435935i	$0.856418\pi$
$224$	1.61986	−	0.526326i	0.108232	−	0.0351666i
$225$	4.66427	+	1.80128i	0.310951	+	0.120085i
$226$	2.43489	−	7.49381i	0.161966	−	0.498481i
$227$	−2.09153	−	13.2054i	−0.138819	−	0.876472i	−0.954552	−	0.298043i	$-0.903666\pi$
$227$	−2.09153	−	13.2054i	−0.138819	−	0.876472i	0.815733	−	0.578429i	$-0.196334\pi$
$228$	−1.61771	+	3.17494i	−0.107136	+	0.210266i
$229$	−12.8928	−	9.36716i	−0.851980	−	0.618999i	0.0737115	−	0.997280i	$-0.476516\pi$
$229$	−12.8928	−	9.36716i	−0.851980	−	0.618999i	−0.925691	+	0.378280i	$0.876516\pi$
$230$	8.16612	+	11.9076i	0.538458	+	0.785162i
$231$	−0.591684	+	1.82102i	−0.0389300	+	0.119814i
$232$	0.138936	−	0.877207i	0.00912159	−	0.0575915i
$233$	1.16448	−	7.35226i	0.0762878	−	0.481662i	−0.919733	−	0.392544i	$-0.871595\pi$
$233$	1.16448	−	7.35226i	0.0762878	−	0.481662i	0.996021	−	0.0891184i	$-0.0284049\pi$
$234$	1.46151	−	4.49806i	0.0955418	−	0.294048i
$235$	−2.37728	−	0.443092i	−0.155077	−	0.0289041i
$236$	5.62681	+	4.08812i	0.366274	+	0.266114i
$237$	2.87774	−	5.64789i	0.186930	−	0.366870i
$238$	−1.98450	−	12.5297i	−0.128636	−	0.812177i
$239$	−8.82228	+	27.1522i	−0.570666	+	1.75633i	0.0798195	+	0.996809i	$0.474566\pi$
$239$	−8.82228	+	27.1522i	−0.570666	+	1.75633i	−0.650485	+	0.759519i	$0.725434\pi$
$240$	−2.01922	+	0.960610i	−0.130340	+	0.0620071i
$241$	−26.8558	+	8.72598i	−1.72993	+	0.562090i	−0.993440	−	0.114354i	$-0.963520\pi$
$241$	−26.8558	+	8.72598i	−1.72993	+	0.562090i	−0.736495	+	0.676443i	$0.763520\pi$
$242$	−6.88455	−	6.88455i	−0.442556	−	0.442556i
$243$	0.707107	+	0.707107i	0.0453609	+	0.0453609i
$244$	1.57638	+	4.85161i	0.100918	+	0.310592i
$245$	−5.18386	−	7.55893i	−0.331184	−	0.482922i
$246$	2.50496	−	3.44778i	0.159710	−	0.219822i
$247$	−11.9168	+	11.9168i	−0.758247	+	0.758247i
$248$	1.90631	+	5.23125i	0.121051	+	0.332185i
$249$			0.781485i			0.0495246i
$250$	−0.843363	−	11.1485i	−0.0533390	−	0.705092i
$251$	3.88578	+	5.34832i	0.245268	+	0.337583i	0.913847	−	0.406058i	$-0.133097\pi$
$251$	3.88578	+	5.34832i	0.245268	+	0.337583i	−0.668579	+	0.743641i	$0.733097\pi$
$252$	−0.773249	+	1.51759i	−0.0487101	+	0.0955989i
$253$	5.13291	−	5.13291i	0.322703	−	0.322703i
$254$	−13.7667			−0.863800
$255$	4.71398	+	15.9734i	0.295201	+	1.00030i
$256$	0.309017	−	0.951057i	0.0193136	−	0.0594410i
$257$	18.3426	−	9.34600i	1.14418	−	0.582988i	0.224039	−	0.974580i	$-0.428076\pi$
$257$	18.3426	−	9.34600i	1.14418	−	0.582988i	0.920139	+	0.391592i	$0.128076\pi$
$258$	4.44932	−	0.704703i	0.277003	−	0.0438729i
$259$	−2.85858	−	8.79782i	−0.177624	−	0.546670i
$260$	−10.4865	+	1.36978i	−0.650345	+	0.0849502i
$261$	0.522037	+	0.718522i	0.0323132	+	0.0444754i
$262$	−8.10762	+	4.13104i	−0.500891	+	0.255216i
$263$	8.45342	+	1.33889i	0.521260	+	0.0825595i	0.411520	−	0.911401i	$-0.364998\pi$
$263$	8.45342	+	1.33889i	0.521260	+	0.0825595i	0.109740	+	0.993960i	$0.464998\pi$
$264$	0.660776	+	0.909480i	0.0406679	+	0.0559746i
$265$	−0.654105	+	0.311180i	−0.0401814	+	0.0191156i
$266$	4.91004	−	3.56735i	0.301054	−	0.218728i
$267$	−0.967989	−	6.11164i	−0.0592399	−	0.374026i
$268$	0.0112301	+	0.00572203i	0.000685989	+	0.000349529i
$269$	16.9019	+	12.2799i	1.03053	+	0.748720i	0.968414	−	0.249349i	$-0.0802166\pi$
$269$	16.9019	+	12.2799i	1.03053	+	0.748720i	0.0621113	+	0.998069i	$0.480217\pi$
$270$	0.748547	−	2.10705i	0.0455551	−	0.128231i
$271$	27.2753	+	8.86229i	1.65686	+	0.538345i	0.980210	−	0.197962i	$-0.0634322\pi$
$271$	27.2753	+	8.86229i	1.65686	+	0.538345i	0.676647	+	0.736307i	$0.263432\pi$
$272$	−6.63633	−	3.38138i	−0.402386	−	0.205026i
$273$	−5.69609	+	5.69609i	−0.344743	+	0.344743i
$274$	6.26151			0.378272
$275$	−5.43230	+	1.44380i	−0.327580	+	0.0870647i
$276$	5.22397	−	3.79544i	0.314446	−	0.228458i
$277$	9.67263	−	1.53199i	0.581172	−	0.0920486i	0.141075	−	0.989999i	$-0.454944\pi$
$277$	9.67263	−	1.53199i	0.581172	−	0.0920486i	0.440097	+	0.897950i	$0.354944\pi$
$278$	11.3708	+	11.3708i	0.681978	+	0.681978i
$279$	−5.04702	−	2.35109i	−0.302157	−	0.140756i
$280$	3.80712	+	0.103548i	0.227519	+	0.00618817i
$281$	−11.1319	−	8.08780i	−0.664074	−	0.482478i	0.203962	−	0.978979i	$-0.434618\pi$
$281$	−11.1319	−	8.08780i	−0.664074	−	0.482478i	−0.868036	+	0.496501i	$0.834618\pi$
$282$	−0.169178	+	1.06815i	−0.0100744	+	0.0636073i
$283$	−11.4702	−	5.84436i	−0.681832	−	0.347411i	0.0785285	−	0.996912i	$-0.474978\pi$
$283$	−11.4702	−	5.84436i	−0.681832	−	0.347411i	−0.760361	+	0.649501i	$0.774978\pi$
$284$		−	8.61142i		−	0.510994i
$285$	−5.78521	+	5.47884i	−0.342686	+	0.324539i
$286$	1.64300	+	5.05663i	0.0971525	+	0.299005i
$287$	−6.46748	+	3.29535i	−0.381763	+	0.194518i
$288$	0.453990	+	0.891007i	0.0267516	+	0.0525031i
$289$	−22.6148	+	31.1266i	−1.33028	+	1.83097i
$290$	0.949376	−	1.74432i	0.0557493	−	0.102430i
$291$	−6.76712	+	9.31414i	−0.396696	+	0.546005i
$292$	−1.65655	+	10.4590i	−0.0969422	+	0.612069i
$293$	−7.19244	−	14.1160i	−0.420187	−	0.824663i	−0.999951	−	0.00987912i	$-0.996855\pi$
$293$	−7.19244	−	14.1160i	−0.420187	−	0.824663i	0.579764	−	0.814784i	$-0.303145\pi$
$294$	−3.31618	+	2.40934i	−0.193403	+	0.140516i
$295$	8.79585	+	12.8258i	0.512114	+	0.746748i
$296$	−5.16538	−	1.67834i	−0.300232	−	0.0975512i
$297$	−1.11034	−	0.175860i	−0.0644284	−	0.0102045i
$298$	−1.02637	+	0.162562i	−0.0594562	+	0.00941694i
$299$	29.0448	−	9.43723i	1.67970	−	0.545769i
$300$	−4.97366	+	0.512579i	−0.287154	+	0.0295937i
$301$	−7.29714	−	2.37098i	−0.420600	−	0.136661i
$302$	5.22163	+	10.2480i	0.300471	+	0.589708i
$303$	−7.66531	+	15.0440i	−0.440361	+	0.864256i
$304$		−	3.56332i		−	0.204370i
$305$	−0.310133	+	11.4026i	−0.0177582	+	0.652911i
$306$	7.08359	−	2.30160i	0.404942	−	0.131574i
$307$	8.92640	+	1.41380i	0.509456	+	0.0806900i	0.405871	−	0.913931i	$-0.366968\pi$
$307$	8.92640	+	1.41380i	0.509456	+	0.0806900i	0.103586	+	0.994621i	$0.466968\pi$
$308$	−0.299530	−	1.89116i	−0.0170673	−	0.107759i
$309$	−6.98811			−0.397540
$310$	0.100866	+	12.4495i	0.00572878	+	0.707084i
$311$	7.24533			0.410845			0.205422	−	0.978673i	$-0.434143\pi$
$311$	7.24533			0.410845			0.205422	+	0.978673i	$0.434143\pi$
$312$	0.739864	+	4.67131i	0.0418865	+	0.264461i
$313$	−29.1706	−	4.62017i	−1.64882	−	0.261147i	−0.738258	−	0.674519i	$-0.764351\pi$
$313$	−29.1706	−	4.62017i	−1.64882	−	0.261147i	−0.910563	+	0.413371i	$0.864351\pi$
$314$	21.1517	−	6.87260i	1.19366	−	0.387843i
$315$	−2.76526	+	2.61882i	−0.155805	+	0.147554i
$316$			6.33878i			0.356584i
$317$	7.51499	−	14.7490i	0.422084	−	0.828387i	−0.577841	−	0.816149i	$-0.696105\pi$
$317$	7.51499	−	14.7490i	0.422084	−	0.828387i	0.999925	−	0.0122374i	$-0.00389538\pi$
$318$	0.147066	+	0.288633i	0.00824704	+	0.0161857i
$319$	−0.949563	−	0.308532i	−0.0531653	−	0.0172745i
$320$	1.36303	−	1.77261i	0.0761955	−	0.0990921i
$321$	2.49320	−	0.810090i	0.139157	−	0.0452148i
$322$	−10.8626	+	1.72047i	−0.605351	+	0.0958782i
$323$	−26.2133	−	4.15178i	−1.45855	−	0.231011i
$324$	−0.951057	−	0.309017i	−0.0528365	−	0.0171676i
$325$	−23.1210	−	4.96343i	−1.28252	−	0.275322i
$326$	1.32762	−	0.964571i	0.0735300	−	0.0534226i
$327$	7.94763	+	15.5981i	0.439505	+	0.862577i
$328$	−0.666675	+	4.20922i	−0.0368110	+	0.232415i
$329$	1.08269	−	1.49019i	0.0596905	−	0.0821569i
$330$	0.711502	+	2.41094i	0.0391669	+	0.132718i
$331$	13.3789	−	18.4144i	0.735369	−	1.01215i	−0.263502	−	0.964659i	$-0.584878\pi$
$331$	13.3789	−	18.4144i	0.735369	−	1.01215i	0.998872	−	0.0474904i	$-0.0151224\pi$
$332$	−0.354787	−	0.696308i	−0.0194714	−	0.0382149i
$333$	4.83924	−	2.46572i	0.265189	−	0.135120i
$334$	−0.138511	−	0.426293i	−0.00757899	−	0.0233257i
$335$	0.0193793	+	0.0204629i	0.00105880	+	0.00111801i
$336$		−	1.70323i		−	0.0929186i
$337$	−1.37025	−	0.698175i	−0.0746420	−	0.0380320i	0.416271	−	0.909241i	$-0.363337\pi$
$337$	−1.37025	−	0.698175i	−0.0746420	−	0.0380320i	−0.490913	+	0.871209i	$0.663337\pi$
$338$	−1.46557	+	9.25324i	−0.0797164	+	0.503310i
$339$	−6.37461	−	4.63143i	−0.346222	−	0.251545i
$340$	−11.4520	−	12.0923i	−0.621071	−	0.655800i
$341$	6.14370	−	1.19668i	0.332700	−	0.0648040i
$342$	2.51965	+	2.51965i	0.136247	+	0.136247i
$343$	18.6714	−	2.95726i	1.00816	−	0.159677i
$344$	−3.64444	+	2.64784i	−0.196495	+	0.142762i
$345$	13.8482	−	4.08680i	0.745565	−	0.220026i
$346$	−10.7738			−0.579203
$347$	13.9835	−	13.9835i	0.750672	−	0.750672i	−0.223933	−	0.974605i	$-0.571890\pi$
$347$	13.9835	−	13.9835i	0.750672	−	0.750672i	0.974605	+	0.223933i	$0.0718895\pi$
$348$	−0.791340	−	0.403208i	−0.0424203	−	0.0216142i
$349$	19.9450	+	6.48052i	1.06763	+	0.346894i	0.789564	−	0.613668i	$-0.210307\pi$
$349$	19.9450	+	6.48052i	1.06763	+	0.346894i	0.278066	+	0.960562i	$0.410307\pi$
$350$	7.94430	+	3.06799i	0.424641	+	0.163991i
$351$	−3.82628	−	2.77996i	−0.204232	−	0.148383i
$352$	−1.00165	−	0.510367i	−0.0533882	−	0.0272026i
$353$	1.50112	+	9.47771i	0.0798966	+	0.504448i	0.994889	+	0.100976i	$0.0321965\pi$
$353$	1.50112	+	9.47771i	0.0798966	+	0.504448i	−0.914992	+	0.403471i	$0.867803\pi$
$354$	5.62681	−	4.08812i	0.299062	−	0.217281i
$355$	6.44606	−	18.1447i	0.342121	−	0.963023i
$356$	3.63711	+	5.00605i	0.192766	+	0.265320i
$357$	−12.5297	−	1.98450i	−0.663140	−	0.105031i
$358$	−0.429124	+	0.218650i	−0.0226799	+	0.0115560i
$359$	−21.0367	−	28.9545i	−1.11027	−	1.52816i	−0.821014	−	0.570907i	$-0.806592\pi$
$359$	−21.0367	−	28.9545i	−1.11027	−	1.52816i	−0.289258	−	0.957251i	$-0.593408\pi$
$360$	0.289622	+	2.21723i	0.0152644	+	0.116858i
$361$	1.94765	+	5.99426i	0.102508	+	0.315487i
$362$	18.3114	−	2.90023i	0.962423	−	0.152433i
$363$	−8.67504	+	4.42015i	−0.455321	+	0.231998i
$364$	2.48928	−	7.66122i	0.130474	−	0.401557i
$365$	−11.3195	+	20.7978i	−0.592491	+	1.08860i
$366$	5.10128			0.266648
$367$	17.6698	−	17.6698i	0.922355	−	0.922355i	−0.0748408	−	0.997195i	$-0.523845\pi$
$367$	17.6698	−	17.6698i	0.922355	−	0.922355i	0.997195	+	0.0748408i	$0.0238449\pi$
$368$	−2.93150	+	5.75339i	−0.152815	+	0.299916i
$369$	−2.50496	−	3.44778i	−0.130403	−	0.179484i
$370$	−9.62743	−	7.40288i	−0.500506	−	0.384857i
$371$		−	0.551744i		−	0.0286451i
$372$	5.56430	−	0.196465i	0.288495	−	0.0101863i
$373$	−22.7543	+	22.7543i	−1.17817	+	1.17817i	−0.197965	+	0.980209i	$0.563433\pi$
$373$	−22.7543	+	22.7543i	−1.17817	+	1.17817i	−0.980209	+	0.197965i	$0.936567\pi$
$374$	−4.92154	+	6.77392i	−0.254487	+	0.350271i
$375$	−10.8635	−	2.64299i	−0.560986	−	0.136483i
$376$	−0.334191	−	1.02853i	−0.0172346	−	0.0530425i
$377$	−2.97020	−	2.97020i	−0.152973	−	0.152973i
$378$	1.20436	+	1.20436i	0.0619457	+	0.0619457i
$379$	34.7830	−	11.3017i	1.78668	−	0.580529i	0.787332	−	0.616529i	$-0.211462\pi$
$379$	34.7830	−	11.3017i	1.78668	−	0.580529i	0.999352	+	0.0360005i	$0.0114618\pi$
$380$	2.66731	−	7.50811i	0.136830	−	0.385158i
$381$	−4.25415	+	13.0929i	−0.217947	+	0.670770i
$382$	−2.22709	−	14.0613i	−0.113948	−	0.719440i
$383$	13.0926	−	25.6957i	0.669001	−	1.31299i	−0.267918	−	0.963442i	$-0.586336\pi$
$383$	13.0926	−	25.6957i	0.669001	−	1.31299i	0.936919	−	0.349547i	$-0.113664\pi$
$384$	−0.809017	−	0.587785i	−0.0412850	−	0.0299953i
$385$	0.784495	−	4.20898i	0.0399816	−	0.214510i
$386$	3.20007	−	9.84879i	0.162879	−	0.501290i
$387$	0.704703	−	4.44932i	0.0358221	−	0.226172i
$388$	1.80102	−	11.3712i	0.0914328	−	0.577284i
$389$	10.2650	−	31.5925i	0.520458	−	1.60180i	−0.252669	−	0.967553i	$-0.581308\pi$
$389$	10.2650	−	31.5925i	0.520458	−	1.60180i	0.773126	−	0.634252i	$-0.218692\pi$
$390$	−1.93777	+	10.3965i	−0.0981226	+	0.526449i
$391$	38.9088	+	28.2689i	1.96770	+	1.42962i
$392$	1.86092	−	3.65225i	0.0939905	−	0.184467i
$393$	1.42346	+	8.98737i	0.0718040	+	0.453353i
$394$	−2.53686	+	7.80764i	−0.127805	+	0.393343i
$395$	−4.74487	+	13.3561i	−0.238741	+	0.672021i
$396$	1.06916	−	0.347390i	0.0537272	−	0.0174570i
$397$	2.03545	+	2.03545i	0.102156	+	0.102156i	0.756338	−	0.654182i	$-0.226987\pi$
$397$	2.03545	+	2.03545i	0.102156	+	0.102156i	−0.654182	+	0.756338i	$0.726987\pi$
$398$	−9.01127	−	9.01127i	−0.451694	−	0.451694i
$399$	−1.87547	−	5.77210i	−0.0938909	−	0.288966i
$400$	4.19885	−	2.71470i	0.209943	−	0.135735i
$401$	0.518895	−	0.714198i	0.0259124	−	0.0356654i	−0.795864	−	0.605475i	$-0.792983\pi$
$401$	0.518895	−	0.714198i	0.0259124	−	0.0356654i	0.821777	+	0.569810i	$0.192983\pi$
$402$	0.00891228	−	0.00891228i	0.000444504	−	0.000444504i
$403$	25.3157	+	7.24856i	1.26106	+	0.361076i
$404$		−	16.8843i		−	0.840025i
$405$	−1.77261	−	1.36303i	−0.0880819	−	0.0677293i
$406$	0.889146	+	1.22380i	0.0441276	+	0.0607364i
$407$	−2.77191	+	5.44017i	−0.137398	+	0.269659i
$408$	−5.26662	+	5.26662i	−0.260736	+	0.260736i
$409$	14.0196			0.693223			0.346612	−	0.938009i	$-0.387332\pi$
$409$	14.0196			0.693223			0.346612	+	0.938009i	$0.387332\pi$
$410$	−4.55552	+	8.37002i	−0.224981	+	0.413366i
$411$	1.93491	−	5.95505i	0.0954422	−	0.293741i
$412$	6.22645	−	3.17253i	0.306755	−	0.156300i
$413$	−11.7003	+	1.85315i	−0.575734	+	0.0911874i
$414$	−1.99538	−	6.14114i	−0.0980675	−	0.301821i
$415$	−0.226335	−	1.73273i	−0.0111104	−	0.0850565i
$416$	−2.77996	−	3.82628i	−0.136299	−	0.187599i
$417$	14.3281	−	7.30053i	0.701650	−	0.357509i
$418$	−3.95649	−	0.626647i	−0.193518	−	0.0306503i
$419$	7.62872	+	10.5000i	0.372687	+	0.512960i	0.953629	−	0.300985i	$-0.0973155\pi$
$419$	7.62872	+	10.5000i	0.372687	+	0.512960i	−0.580941	+	0.813945i	$0.697315\pi$
$420$	1.27495	−	3.58879i	0.0622110	−	0.175115i
$421$	−20.9320	+	15.2080i	−1.02016	+	0.741191i	−0.966316	−	0.257358i	$-0.917148\pi$
$421$	−20.9320	+	15.2080i	−1.02016	+	0.741191i	−0.0538462	+	0.998549i	$0.517148\pi$
$422$	3.06537	+	19.3540i	0.149220	+	0.942138i
$423$	0.963591	+	0.490974i	0.0468514	+	0.0238720i
$424$	−0.262073	−	0.190407i	−0.0127274	−	0.00924700i
$425$	−15.0782	−	34.0516i	−0.731402	−	1.65174i
$426$	−8.18995	−	2.66108i	−0.396804	−	0.128930i
$427$	−7.74164	−	3.94456i	−0.374644	−	0.190891i
$428$	−1.85369	+	1.85369i	−0.0896013	+	0.0896013i
$429$	5.31685			0.256700
$430$	−9.66108	+	2.85111i	−0.465899	+	0.137493i
$431$	32.0888	−	23.3139i	1.54566	−	1.12299i	0.599009	−	0.800742i	$-0.295561\pi$
$431$	32.0888	−	23.3139i	1.54566	−	1.12299i	0.946655	−	0.322248i	$-0.104439\pi$
$432$	0.987688	−	0.156434i	0.0475202	−	0.00752646i
$433$	1.38274	+	1.38274i	0.0664502	+	0.0664502i	0.739551	−	0.673101i	$-0.235038\pi$
$433$	1.38274	+	1.38274i	0.0664502	+	0.0664502i	−0.673101	+	0.739551i	$0.735038\pi$
$434$	−8.59621	−	4.00443i	−0.412632	−	0.192219i
$435$	−1.36558	−	1.44194i	−0.0654744	−	0.0691355i
$436$	−14.1628	−	10.2899i	−0.678274	−	0.492795i
$437$	−3.59940	+	22.7257i	−0.172183	+	1.08712i
$438$	9.43524	+	4.80749i	0.450833	+	0.229711i
$439$		−	17.9772i		−	0.858003i	−0.903304	−	0.429001i	$-0.858866\pi$
$439$		−	17.9772i		−	0.858003i	0.903304	−	0.429001i	$-0.141134\pi$
$440$	−1.72850	−	1.82515i	−0.0824029	−	0.0870107i
$441$	1.26667	+	3.89840i	0.0603175	+	0.185638i
$442$	−31.3868	+	15.9924i	−1.49292	+	0.760679i
$443$	−6.59825	−	12.9498i	−0.313492	−	0.615263i	0.679469	−	0.733704i	$-0.262210\pi$
$443$	−6.59825	−	12.9498i	−0.313492	−	0.615263i	−0.992961	+	0.118441i	$0.962210\pi$
$444$	−3.19238	+	4.39394i	−0.151504	+	0.208527i
$445$	3.91632	+	13.2706i	0.185651	+	0.629085i
$446$	5.76029	−	7.92836i	0.272758	−	0.375418i
$447$	−0.162562	+	1.02637i	−0.00768890	+	0.0485458i
$448$	0.773249	+	1.51759i	0.0365326	+	0.0716992i
$449$	14.5556	−	10.5753i	0.686922	−	0.499078i	−0.188725	−	0.982030i	$-0.560435\pi$
$449$	14.5556	−	10.5753i	0.686922	−	0.499078i	0.875647	+	0.482952i	$0.160435\pi$
$450$	−1.04945	+	4.88862i	−0.0494717	+	0.230452i
$451$	4.55642	+	1.48047i	0.214553	+	0.0697126i
$452$	7.78245	+	1.23262i	0.366056	+	0.0579775i
$453$	11.3600	−	1.79925i	0.533740	−	0.0845362i
$454$	12.7156	−	4.13155i	0.596773	−	0.193903i
$455$	10.9798	−	14.2793i	0.514743	−	0.669422i
$456$	−3.38892	−	1.10113i	−0.158701	−	0.0515650i
$457$	−10.9713	−	21.5325i	−0.513218	−	1.00725i	−0.991630	−	0.129112i	$-0.958787\pi$
$457$	−10.9713	−	21.5325i	−0.513218	−	1.00725i	0.478412	−	0.878135i	$-0.341213\pi$
$458$	7.23496	−	14.1994i	0.338067	−	0.663495i
$459$		−	7.44812i		−	0.347649i
$460$	−10.4835	+	9.92834i	−0.488796	+	0.462911i
$461$	8.32831	−	2.70603i	0.387888	−	0.126032i	−0.108579	−	0.994088i	$-0.534630\pi$
$461$	8.32831	−	2.70603i	0.387888	−	0.126032i	0.496468	+	0.868055i	$0.334630\pi$
$462$	−1.89116	−	0.299530i	−0.0879846	−	0.0139354i
$463$	−3.44560	−	21.7546i	−0.160130	−	1.01102i	−0.928585	−	0.371120i	$-0.878974\pi$
$463$	−3.44560	−	21.7546i	−0.160130	−	1.01102i	0.768455	−	0.639904i	$-0.221026\pi$
$464$	0.888142			0.0412309
$465$	11.8713	+	3.75118i	0.550520	+	0.173957i
$466$	7.44390			0.344832
$467$	−5.53872	−	34.9701i	−0.256301	−	1.61822i	−0.694602	−	0.719395i	$-0.744419\pi$
$467$	−5.53872	−	34.9701i	−0.256301	−	1.61822i	0.438300	−	0.898829i	$-0.355581\pi$
$468$	4.67131	+	0.739864i	0.215932	+	0.0342002i
$469$	−0.0204166	+	0.00663374i	−0.000942749	+	0.000306318i
$470$	0.0657477	−	2.41733i	0.00303271	−	0.111503i
$471$		−	22.2402i		−	1.02477i
$472$	−3.15756	+	6.19706i	−0.145339	+	0.285243i
$473$	2.29909	+	4.51222i	0.105712	+	0.207472i
$474$	6.02854	+	1.95879i	0.276900	+	0.0899702i
$475$	11.2404	−	13.8234i	0.515743	−	0.634260i
$476$	12.0650	−	3.92014i	0.552996	−	0.179679i
$477$	0.319952	−	0.0506754i	0.0146496	−	0.00232027i
$478$	−28.1980	−	4.46612i	−1.28975	−	0.204276i
$479$	1.04837	+	0.340635i	0.0479011	+	0.0155640i	0.332870	−	0.942973i	$-0.391983\pi$
$479$	1.04837	+	0.340635i	0.0479011	+	0.0155640i	−0.284968	+	0.958537i	$0.591983\pi$
$480$	−1.26466	−	1.84408i	−0.0577235	−	0.0841705i
$481$	−20.7813	+	15.0985i	−0.947547	+	0.688433i
$482$	−12.8197	−	25.1601i	−0.583922	−	1.14601i
$483$	−1.72047	+	10.8626i	−0.0782842	+	0.494267i
$484$	5.72281	−	7.87677i	0.260128	−	0.358035i
$485$	12.3067	−	22.6115i	0.558818	−	1.02674i
$486$	−0.587785	+	0.809017i	−0.0266625	+	0.0366978i
$487$	−4.35290	−	8.54306i	−0.197249	−	0.387123i	0.771103	−	0.636710i	$-0.219705\pi$
$487$	−4.35290	−	8.54306i	−0.197249	−	0.387123i	−0.968352	+	0.249587i	$0.919705\pi$
$488$	−4.54528	+	2.31593i	−0.205755	+	0.104837i
$489$	−0.507105	−	1.56071i	−0.0229321	−	0.0705777i
$490$	6.65493	−	6.30251i	0.300639	−	0.284718i
$491$		−	30.5381i		−	1.37816i	−0.724683	−	0.689082i	$-0.758014\pi$
$491$		−	30.5381i		−	1.37816i	0.724683	−	0.689082i	$-0.241986\pi$
$492$	3.79719	+	1.93477i	0.171191	+	0.0872261i
$493$	1.03481	−	6.53355i	0.0466056	−	0.294256i
$494$	−13.6343	−	9.90588i	−0.613435	−	0.445686i
$495$	2.51281	+	0.0683446i	0.112942	+	0.00307186i
$496$	−4.86863	+	2.70119i	−0.218608	+	0.121287i
$497$	10.3713	+	10.3713i	0.465215	+	0.465215i
$498$	−0.771863	+	0.122251i	−0.0345880	+	0.00547820i
$499$	3.14538	−	2.28525i	0.140807	−	0.102302i	−0.515152	−	0.857099i	$-0.672265\pi$
$499$	3.14538	−	2.28525i	0.140807	−	0.102302i	0.655959	+	0.754797i	$0.272265\pi$
$500$	10.8793	−	2.57699i	0.486537	−	0.115246i
$501$	−0.448231			−0.0200255
$502$	−4.67460	+	4.67460i	−0.208638	+	0.208638i
$503$	16.9908	+	8.65726i	0.757584	+	0.386008i	0.789714	−	0.613475i	$-0.210229\pi$
$503$	16.9908	+	8.65726i	0.757584	+	0.386008i	−0.0321298	+	0.999484i	$0.510229\pi$
$504$	−1.61986	−	0.526326i	−0.0721545	−	0.0234444i
$505$	12.6387	−	35.5761i	0.562414	−	1.58312i
$506$	5.87268	+	4.26675i	0.261072	+	0.189680i
$507$	8.34746	+	4.25325i	0.370724	+	0.188893i
$508$	−2.15359	−	13.5972i	−0.0955500	−	0.603279i
$509$	−29.6437	+	21.5374i	−1.31393	+	0.954629i	−0.313948	+	0.949440i	$0.601652\pi$
$509$	−29.6437	+	21.5374i	−1.31393	+	0.954629i	−0.999987	+	0.00518863i	$0.998348\pi$
$510$	−15.0394	+	7.15474i	−0.665954	+	0.316817i
$511$	−10.6014	−	14.5916i	−0.468978	−	0.645493i
$512$	0.987688	+	0.156434i	0.0436501	+	0.00691349i
$513$	3.17494	−	1.61771i	0.140177	−	0.0714238i
$514$	12.1003	+	16.6547i	0.533724	+	0.734607i
$515$	15.4943	−	2.02391i	0.682759	−	0.0891842i
$516$	1.39205	+	4.28430i	0.0612818	+	0.188606i
$517$	−1.20079	+	0.190186i	−0.0528107	+	0.00836439i
$518$	8.24232	−	4.19967i	0.362147	−	0.184523i
$519$	−3.32929	+	10.2465i	−0.146139	+	0.449771i
$520$	−2.99337	−	10.1431i	−0.131268	−	0.444805i
$521$	−33.0074			−1.44608			−0.723041	−	0.690805i	$-0.757256\pi$
$521$	−33.0074			−1.44608			−0.723041	+	0.690805i	$0.757256\pi$
$522$	−0.628011	+	0.628011i	−0.0274873	+	0.0274873i
$523$	−14.5392	+	28.5348i	−0.635756	+	1.24774i	0.318266	+	0.948002i	$0.396900\pi$
$523$	−14.5392	+	28.5348i	−0.635756	+	1.24774i	−0.954021	+	0.299739i	$0.903100\pi$
$524$	−5.34849	−	7.36157i	−0.233650	−	0.321592i
$525$	5.37276	−	6.60742i	0.234486	−	0.288371i
$526$			8.55879i			0.373181i
$527$	14.1984	+	38.9630i	0.618494	+	1.69725i
$528$	−0.794914	+	0.794914i	−0.0345942	+	0.0345942i
$529$	10.9888	−	15.1247i	0.477772	−	0.657596i
$530$	−0.409674	−	0.597373i	−0.0177951	−	0.0259482i
$531$	−2.14925	−	6.61472i	−0.0932696	−	0.287054i
$532$	4.29153	+	4.29153i	0.186062	+	0.186062i
$533$	14.2523	+	14.2523i	0.617337	+	0.617337i
$534$	5.88497	−	1.91214i	0.254667	−	0.0827465i
$535$	−5.29339	+	2.51824i	−0.228853	+	0.108873i
$536$	−0.00389481	+	0.0119870i	−0.000168230	+	0.000517759i
$537$	0.0753416	+	0.475688i	0.00325123	+	0.0205274i
$538$	−9.48470	+	18.6148i	−0.408915	+	0.802540i
$539$	−3.72798	−	2.70853i	−0.160575	−	0.116665i
$540$	2.19821	+	0.409715i	0.0945960	+	0.0176313i
$541$	−11.0478	+	34.0016i	−0.474982	+	1.46184i	0.371000	+	0.928633i	$0.379015\pi$
$541$	−11.0478	+	34.0016i	−0.474982	+	1.46184i	−0.845982	+	0.533211i	$0.820985\pi$
$542$	−4.48638	+	28.3259i	−0.192706	+	1.21670i
$543$	2.90023	−	18.3114i	0.124461	−	0.785815i
$544$	2.30160	−	7.08359i	0.0986801	−	0.303706i
$545$	−22.1393	−	32.2828i	−0.948344	−	1.38284i
$546$	−6.51702	−	4.73489i	−0.278903	−	0.202635i
$547$	5.55970	−	10.9115i	0.237715	−	0.466543i	−0.741071	−	0.671427i	$-0.765682\pi$
$547$	5.55970	−	10.9115i	0.237715	−	0.466543i	0.978786	+	0.204884i	$0.0656817\pi$
$548$	0.979516	+	6.18442i	0.0418428	+	0.264185i
$549$	1.57638	−	4.85161i	0.0672784	−	0.207062i
$550$	−2.27583	−	5.13956i	−0.0970416	−	0.219152i
$551$	3.00984	−	0.977957i	0.128224	−	0.0416623i
$552$	4.56592	+	4.56592i	0.194338	+	0.194338i
$553$	−7.63419	−	7.63419i	−0.324639	−	0.324639i
$554$	3.02626	+	9.31388i	0.128574	+	0.395709i
$555$	−10.0156	+	6.86862i	−0.425138	+	0.291557i
$556$	−9.45206	+	13.0096i	−0.400857	+	0.551732i
$557$	24.5013	−	24.5013i	1.03815	−	1.03815i	0.0389093	−	0.999243i	$-0.487612\pi$
$557$	24.5013	−	24.5013i	1.03815	−	1.03815i	0.999243	−	0.0389093i	$-0.0123883\pi$
$558$	1.53261	−	5.35267i	0.0648807	−	0.226597i
$559$			21.3056i			0.901129i
$560$	0.493292	+	3.77645i	0.0208454	+	0.159584i
$561$	4.92154	+	6.77392i	0.207788	+	0.285995i
$562$	6.24682	−	12.2601i	0.263506	−	0.517160i
$563$	−3.56695	+	3.56695i	−0.150329	+	0.150329i	−0.778265	−	0.627936i	$-0.783900\pi$
$563$	−3.56695	+	3.56695i	−0.150329	+	0.150329i	0.627936	+	0.778265i	$0.283900\pi$
$564$	−1.08146			−0.0455378
$565$	15.4754	+	8.42272i	0.651054	+	0.354347i
$566$	3.97807	−	12.2432i	0.167211	−	0.514622i
$567$	1.51759	−	0.773249i	0.0637326	−	0.0324734i
$568$	8.50540	−	1.34712i	0.356879	−	0.0565240i
$569$	8.68856	+	26.7406i	0.364243	+	1.12103i	0.950454	+	0.310867i	$0.100619\pi$
$569$	8.68856	+	26.7406i	0.364243	+	1.12103i	−0.586210	+	0.810159i	$0.699381\pi$
$570$	−6.31639	−	4.85690i	−0.264565	−	0.203433i
$571$	22.4367	+	30.8815i	0.938947	+	1.29235i	0.956265	+	0.292500i	$0.0944872\pi$
$571$	22.4367	+	30.8815i	0.938947	+	1.29235i	−0.0173181	+	0.999850i	$0.505513\pi$
$572$	−4.73735	+	2.41380i	−0.198079	+	0.100926i
$573$	−14.0613	−	2.22709i	−0.587420	−	0.0930382i
$574$	−4.26651	−	5.87235i	−0.178081	−	0.245107i
$575$	−29.5212	+	13.0721i	−1.23112	+	0.545146i
$576$	−0.809017	+	0.587785i	−0.0337090	+	0.0244911i
$577$	2.28150	+	14.4048i	0.0949803	+	0.599682i	0.988566	+	0.150789i	$0.0481814\pi$
$577$	2.28150	+	14.4048i	0.0949803	+	0.599682i	−0.893586	+	0.448893i	$0.851819\pi$
$578$	−34.2811	−	17.4671i	−1.42590	−	0.726534i
$579$	−8.37788	−	6.08689i	−0.348173	−	0.252962i
$580$	1.87136	+	0.664816i	0.0777041	+	0.0276050i
$581$	1.26590	+	0.411316i	0.0525183	+	0.0170642i
$582$	−10.2581	−	5.22675i	−0.425211	−	0.216656i
$583$	−0.257505	+	0.257505i	−0.0106648	+	0.0106648i
$584$	−10.5894			−0.438193
$585$	9.28889	+	5.05563i	0.384048	+	0.209025i
$586$	12.8170	−	9.31212i	0.529467	−	0.384680i
$587$	39.2230	−	6.21231i	1.61891	−	0.256410i	0.719813	−	0.694168i	$-0.244227\pi$
$587$	39.2230	−	6.21231i	1.61891	−	0.256410i	0.899093	+	0.437758i	$0.144227\pi$
$588$	−2.89844	−	2.89844i	−0.119530	−	0.119530i
$589$	−13.5251	+	14.5151i	−0.557290	+	0.598084i
$590$	−11.2919	+	10.6940i	−0.464882	+	0.440263i
$591$	6.64158	+	4.82539i	0.273198	+	0.198490i
$592$	0.849628	−	5.36434i	0.0349195	−	0.220473i
$593$	14.2470	+	7.25919i	0.585053	+	0.298099i	0.721352	−	0.692568i	$-0.243521\pi$
$593$	14.2470	+	7.25919i	0.585053	+	0.298099i	−0.136299	+	0.990668i	$0.543521\pi$
$594$		−	1.12418i		−	0.0461256i
$595$	28.3559	+	0.771237i	1.16248	+	0.0316176i
$596$	−0.321120	−	0.988306i	−0.0131536	−	0.0404826i
$597$	−11.3549	+	5.78559i	−0.464724	+	0.236788i
$598$	13.8646	+	27.2109i	0.566968	+	1.11274i
$599$	4.26066	−	5.86429i	0.174086	−	0.239608i	−0.713054	−	0.701109i	$-0.752689\pi$
$599$	4.26066	−	5.86429i	0.174086	−	0.239608i	0.887140	+	0.461500i	$0.152689\pi$
$600$	−1.28432	−	4.83224i	−0.0524321	−	0.197275i
$601$	−8.08788	+	11.1320i	−0.329911	+	0.454084i	−0.941461	−	0.337122i	$-0.890546\pi$
$601$	−8.08788	+	11.1320i	−0.329911	+	0.454084i	0.611550	+	0.791206i	$0.290546\pi$
$602$	1.20027	−	7.57820i	0.0489193	−	0.308864i
$603$	−0.00572203	−	0.0112301i	−0.000233019	−	0.000457326i
$604$	−9.30501	+	6.76049i	−0.378616	+	0.275080i
$605$	17.9544	−	12.3130i	0.729950	−	0.500594i
$606$	−16.0579	−	5.21754i	−0.652309	−	0.211948i
$607$	−4.61622	−	0.731138i	−0.187367	−	0.0296760i	0.0620459	−	0.998073i	$-0.480237\pi$
$607$	−4.61622	−	0.731138i	−0.187367	−	0.0296760i	−0.249412	+	0.968397i	$0.580237\pi$
$608$	3.51945	−	0.557426i	0.142733	−	0.0226066i
$609$	1.43867	−	0.467452i	0.0582978	−	0.0189421i
$610$	−11.3107	+	1.47744i	−0.457958	+	0.0598200i
$611$	−4.86449	−	1.58057i	−0.196796	−	0.0639430i
$612$	3.38138	+	6.63633i	0.136684	+	0.268258i
$613$	3.29463	−	6.46608i	0.133069	−	0.261163i	−0.814851	−	0.579670i	$-0.803182\pi$
$613$	3.29463	−	6.46608i	0.133069	−	0.261163i	0.947920	+	0.318507i	$0.103182\pi$
$614$			9.03767i			0.364731i
$615$	6.55263	+	6.91904i	0.264228	+	0.279003i
$616$	1.82102	−	0.591684i	0.0733709	−	0.0238396i
$617$	−15.6145	−	2.47309i	−0.628615	−	0.0995628i	−0.166005	−	0.986125i	$-0.553087\pi$
$617$	−15.6145	−	2.47309i	−0.628615	−	0.0995628i	−0.462610	+	0.886562i	$0.653087\pi$
$618$	−1.09318	−	6.90207i	−0.0439742	−	0.277642i
$619$	46.0275			1.85000			0.925000	−	0.379967i	$-0.124065\pi$
$619$	46.0275			1.85000			0.925000	+	0.379967i	$0.124065\pi$
$620$	−12.2804	+	2.04715i	−0.493194	+	0.0822156i
$621$	−6.45718			−0.259118
$622$	1.13342	+	7.15612i	0.0454459	+	0.286934i
$623$	−10.4095	−	1.64870i	−0.417048	−	0.0660539i
$624$	−4.49806	+	1.46151i	−0.180067	+	0.0585072i
$625$	24.8523	+	2.71382i	0.994091	+	0.108553i
$626$		−	29.5342i		−	1.18043i
$627$	−1.81860	+	3.56920i	−0.0726279	+	0.142540i
$628$	10.0968	+	19.8162i	0.402908	+	0.790751i
$629$	−38.4724	−	12.5004i	−1.53400	−	0.498425i
$630$	−3.01916	−	2.32154i	−0.120286	−	0.0924925i
$631$	−33.0271	+	10.7311i	−1.31479	+	0.427200i	−0.880701	−	0.473672i	$-0.842928\pi$
$631$	−33.0271	+	10.7311i	−1.31479	+	0.427200i	−0.434085	+	0.900872i	$0.642928\pi$
$632$	−6.26074	+	0.991603i	−0.249039	+	0.0394439i
$633$	19.3540	+	3.06537i	0.769253	+	0.121838i
$634$	15.7430	+	5.11522i	0.625235	+	0.203151i
$635$	5.64043	−	30.2621i	0.223834	−	1.20092i
$636$	−0.262073	+	0.190407i	−0.0103919	+	0.00755014i
$637$	−8.80128	−	17.2735i	−0.348720	−	0.684401i
$638$	0.156189	−	0.986138i	0.00618358	−	0.0390416i
$639$	−5.06167	+	6.96679i	−0.200237	+	0.275602i
$640$	1.96401	+	1.06895i	0.0776345	+	0.0422538i
$641$	27.2649	−	37.5270i	1.07690	−	1.48223i	0.214013	−	0.976831i	$-0.431347\pi$
$641$	27.2649	−	37.5270i	1.07690	−	1.48223i	0.862888	−	0.505395i	$-0.168653\pi$
$642$	1.19014	+	2.33578i	0.0469710	+	0.0921859i
$643$	−7.29253	+	3.71573i	−0.287589	+	0.146534i	−0.591834	−	0.806060i	$-0.701596\pi$
$643$	−7.29253	+	3.71573i	−0.287589	+	0.146534i	0.304245	+	0.952594i	$0.401596\pi$
$644$	−3.39858	−	10.4598i	−0.133923	−	0.412172i
$645$	−0.273869	+	10.0693i	−0.0107836	+	0.396477i
$646$		−	26.5401i		−	1.04420i
$647$	−9.31254	−	4.74498i	−0.366114	−	0.186544i	0.261249	−	0.965271i	$-0.415866\pi$
$647$	−9.31254	−	4.74498i	−0.366114	−	0.186544i	−0.627363	+	0.778727i	$0.715866\pi$
$648$	0.156434	−	0.987688i	0.00614533	−	0.0388001i
$649$	6.32555	+	4.59578i	0.248299	+	0.180400i
$650$	1.28541	−	23.6128i	0.0504180	−	0.926168i
$651$	−6.46482	+	6.93805i	−0.253376	+	0.271924i
$652$	1.16038	+	1.16038i	0.0454440	+	0.0454440i
$653$	−16.7863	+	2.65869i	−0.656898	+	0.104042i	−0.475981	−	0.879456i	$-0.657907\pi$
$653$	−16.7863	+	2.65869i	−0.656898	+	0.104042i	−0.180918	+	0.983498i	$0.557907\pi$
$654$	−14.1628	+	10.2899i	−0.553809	+	0.402366i
$655$	−5.75908	−	19.5148i	−0.225026	−	0.762507i
$656$	−4.26169			−0.166391
$657$	7.48785	−	7.48785i	0.292129	−	0.292129i
$658$	1.64121	+	0.836240i	0.0639812	+	0.0326000i
$659$	−43.7862	−	14.2270i	−1.70567	−	0.554205i	−0.716066	−	0.698033i	$-0.754059\pi$
$659$	−43.7862	−	14.2270i	−1.70567	−	0.554205i	−0.989603	+	0.143827i	$0.954059\pi$
$660$	−2.26996	+	1.07990i	−0.0883580	+	0.0420349i
$661$	6.66918	+	4.84544i	0.259401	+	0.188466i	0.709883	−	0.704320i	$-0.248748\pi$
$661$	6.66918	+	4.84544i	0.259401	+	0.188466i	−0.450482	+	0.892786i	$0.648748\pi$
$662$	20.2806	+	10.3335i	0.788230	+	0.401623i
$663$	5.51059	+	34.7925i	0.214014	+	1.35123i
$664$	0.632234	−	0.459345i	0.0245354	−	0.0178260i
$665$	5.83008	+	12.2549i	0.226081	+	0.475225i
$666$	3.19238	+	4.39394i	0.123702	+	0.170262i
$667$	−5.66428	−	0.897135i	−0.219322	−	0.0347372i
$668$	0.399377	−	0.203493i	0.0154524	−	0.00787337i
$669$	−5.76029	−	7.92836i	−0.222706	−	0.306528i
$670$	−0.0171794	+	0.0223418i	−0.000663698	+	0.000863138i
$671$	1.77214	+	5.45408i	0.0684126	+	0.210552i
$672$	1.68226	−	0.266443i	0.0648945	−	0.0102783i
$673$	15.9203	−	8.11182i	0.613684	−	0.312688i	−0.119379	−	0.992849i	$-0.538090\pi$
$673$	15.9203	−	8.11182i	0.613684	−	0.312688i	0.733063	+	0.680161i	$0.238090\pi$
$674$	0.475226	−	1.46259i	0.0183050	−	0.0563370i
$675$	4.32506	+	2.50876i	0.166472	+	0.0965621i
$676$	−9.36858			−0.360330
$677$	9.03144	−	9.03144i	0.347106	−	0.347106i	−0.511924	−	0.859031i	$-0.671067\pi$
$677$	9.03144	−	9.03144i	0.347106	−	0.347106i	0.859031	+	0.511924i	$0.171067\pi$
$678$	3.57720	−	7.02065i	0.137381	−	0.269626i
$679$	11.5259	+	15.8641i	0.442325	+	0.608808i
$680$	10.1520	−	13.2026i	0.389311	−	0.506298i
$681$		−	13.3700i		−	0.512339i
$682$	2.14304	+	5.88086i	0.0820611	+	0.225190i
$683$	16.1040	−	16.1040i	0.616202	−	0.616202i	−0.328353	−	0.944555i	$-0.606494\pi$
$683$	16.1040	−	16.1040i	0.616202	−	0.616202i	0.944555	+	0.328353i	$0.106494\pi$
$684$	−2.09447	+	2.88279i	−0.0800840	+	0.110226i
$685$	−2.56544	+	13.7641i	−0.0980203	+	0.525900i
$686$	5.84170	+	17.9789i	0.223037	+	0.686438i
$687$	−11.2687	−	11.2687i	−0.429928	−	0.429928i
$688$	−3.18536	−	3.18536i	−0.121441	−	0.121441i
$689$	−1.45710	+	0.473442i	−0.0555113	+	0.0180367i
$690$	6.20283	+	13.0384i	0.236138	+	0.496365i
$691$	−2.29719	+	7.07002i	−0.0873892	+	0.268956i	−0.985196	−	0.171434i	$-0.945160\pi$
$691$	−2.29719	+	7.07002i	−0.0873892	+	0.268956i	0.897806	+	0.440390i	$0.145160\pi$
$692$	−1.68539	−	10.6412i	−0.0640690	−	0.404516i
$693$	−0.869270	+	1.70604i	−0.0330208	+	0.0648070i
$694$	15.9988	+	11.6238i	0.607306	+	0.441234i
$695$	−29.6543	+	20.3367i	−1.12485	+	0.771415i
$696$	0.274451	−	0.844673i	0.0104030	−	0.0320172i
$697$	−4.96548	+	31.3508i	−0.188081	+	1.18750i
$698$	−3.28065	+	20.7132i	−0.124174	+	0.784007i
$699$	2.30029	−	7.07957i	0.0870051	−	0.267774i
$700$	−1.78746	+	8.32643i	−0.0675595	+	0.314710i
$701$	−32.2068	−	23.3996i	−1.21643	−	0.883790i	−0.220634	−	0.975357i	$-0.570813\pi$
$701$	−32.2068	−	23.3996i	−1.21643	−	0.883790i	−0.995799	+	0.0915666i	$0.970813\pi$
$702$	2.14717	−	4.21405i	0.0810396	−	0.159049i
$703$	−3.02750	−	19.1149i	−0.114184	−	0.720931i
$704$	0.347390	−	1.06916i	0.0130928	−	0.0402954i
$705$	−2.27870	−	0.809526i	−0.0858209	−	0.0304885i
$706$	−9.12619	+	2.96528i	−0.343469	+	0.111600i
$707$	20.3348	+	20.3348i	0.764770	+	0.764770i
$708$	4.91802	+	4.91802i	0.184830	+	0.184830i
$709$	3.80280	+	11.7038i	0.142817	+	0.439545i	0.996724	−	0.0808804i	$-0.0257732\pi$
$709$	3.80280	+	11.7038i	0.142817	+	0.439545i	−0.853907	+	0.520426i	$0.825773\pi$
$710$	18.9297	+	3.52823i	0.710420	+	0.132412i
$711$	3.72584	−	5.12818i	0.139730	−	0.192322i
$712$	−4.37545	+	4.37545i	−0.163977	+	0.163977i
$713$	33.7791	−	12.3094i	1.26504	−	0.460991i
$714$		−	12.6858i		−	0.474756i
$715$	−11.7887	+	1.53988i	−0.440872	+	0.0575882i
$716$	−0.283088	−	0.389637i	−0.0105795	−	0.0145614i
$717$	−12.9612	+	25.4378i	−0.484045	+	0.949991i
$718$	25.3071	−	25.3071i	0.944454	−	0.944454i
$719$	−22.4240			−0.836275			−0.418137	−	0.908384i	$-0.637317\pi$
$719$	−22.4240			−0.836275			−0.418137	+	0.908384i	$0.637317\pi$
$720$	−2.14463	+	0.632908i	−0.0799256	+	0.0235871i
$721$	−3.67802	+	11.3198i	−0.136977	+	0.421571i
$722$	−5.61578	+	2.86138i	−0.208998	+	0.106490i
$723$	−27.8902	+	4.41738i	−1.03725	+	0.164284i
$724$	5.72905	+	17.6322i	0.212919	+	0.655296i
$725$	3.44542	+	2.80161i	0.127960	+	0.104049i
$726$	−5.72281	−	7.87677i	−0.212393	−	0.292334i
$727$	−29.7294	+	15.1479i	−1.10260	+	0.561804i	−0.907954	−	0.419069i	$-0.862357\pi$
$727$	−29.7294	+	15.1479i	−1.10260	+	0.561804i	−0.194648	+	0.980873i	$0.562357\pi$
$728$	7.95631	+	1.26016i	0.294880	+	0.0467045i
$729$	0.587785	+	0.809017i	0.0217698	+	0.0299636i
$730$	−22.3125	−	7.92668i	−0.825822	−	0.293380i
$731$	−27.1443	+	19.7215i	−1.00397	+	0.729425i
$732$	0.798017	+	5.03848i	0.0294955	+	0.186228i
$733$	−14.3240	−	7.29846i	−0.529070	−	0.269575i	0.168985	−	0.985619i	$-0.445951\pi$
$733$	−14.3240	−	7.29846i	−0.529070	−	0.269575i	−0.698055	+	0.716044i	$0.745951\pi$
$734$	20.2164	+	14.6881i	0.746201	+	0.542146i
$735$	−3.93756	−	8.27680i	−0.145239	−	0.305294i
$736$	−6.14114	−	1.99538i	−0.226366	−	0.0735506i
$737$	0.0126247	+	0.00643259i	0.000465036	+	0.000236947i
$738$	3.01347	−	3.01347i	0.110927	−	0.110927i
$739$	−32.6940			−1.20267			−0.601334	−	0.798998i	$-0.705364\pi$
$739$	−32.6940			−1.20267			−0.601334	+	0.798998i	$0.705364\pi$
$740$	5.80567	−	10.6670i	0.213421	−	0.392125i
$741$	−13.6343	+	9.90588i	−0.500867	+	0.363901i
$742$	0.544951	−	0.0863118i	0.0200058	−	0.00316860i
$743$	−25.9411	−	25.9411i	−0.951687	−	0.951687i	0.0471985	−	0.998886i	$-0.484971\pi$
$743$	−25.9411	−	25.9411i	−0.951687	−	0.951687i	−0.998886	+	0.0471985i	$0.984971\pi$
$744$	1.06449	+	5.46506i	0.0390263	+	0.200359i
$745$	0.0631763	−	2.32279i	0.00231460	−	0.0851004i
$746$	−26.0337	−	18.9146i	−0.953163	−	0.692514i
$747$	−0.122251	+	0.771863i	−0.00447293	+	0.0282410i
$748$	−7.46042	−	3.80127i	−0.272780	−	0.138988i
$749$		−	4.46502i		−	0.163148i
$750$	0.911028	−	11.1432i	0.0332660	−	0.406891i
$751$	−0.193405	−	0.595239i	−0.00705745	−	0.0217206i	0.947466	−	0.319857i	$-0.103635\pi$
$751$	−0.193405	−	0.595239i	−0.00705745	−	0.0217206i	−0.954523	+	0.298137i	$0.903635\pi$
$752$	0.963591	−	0.490974i	0.0351385	−	0.0179040i
$753$	3.00128	+	5.89034i	0.109373	+	0.214656i
$754$	2.46899	−	3.39828i	0.0899155	−	0.123758i
$755$	−24.6667	+	7.27947i	−0.897713	+	0.264927i
$756$	−1.00113	+	1.37794i	−0.0364108	+	0.0501152i
$757$	−3.43639	+	21.6965i	−0.124898	+	0.788573i	0.843126	+	0.537716i	$0.180713\pi$
$757$	−3.43639	+	21.6965i	−0.124898	+	0.788573i	−0.968024	+	0.250858i	$0.919287\pi$
$758$	16.6038	+	32.5868i	0.603078	+	1.18361i
$759$	5.87268	−	4.26675i	0.213165	−	0.154873i
$760$	7.83293	+	1.45995i	0.284130	+	0.0529579i
$761$	12.9366	+	4.20337i	0.468952	+	0.152372i	0.533954	−	0.845513i	$-0.320705\pi$
$761$	12.9366	+	4.20337i	0.468952	+	0.152372i	−0.0650020	+	0.997885i	$0.520705\pi$
$762$	−13.5972	−	2.15359i	−0.492575	−	0.0780162i
$763$	29.4499	−	4.66440i	1.06616	−	0.168863i
$764$	13.5398	−	4.39935i	0.489853	−	0.159163i
$765$	2.15714	+	16.5142i	0.0779916	+	0.597073i
$766$	27.4275	+	8.91173i	0.990995	+	0.321994i
$767$	14.9338	+	29.3093i	0.539229	+	1.05830i
$768$	0.453990	−	0.891007i	0.0163820	−	0.0321514i
$769$		−	18.8905i		−	0.681210i	−0.940207	−	0.340605i	$-0.889368\pi$
$769$		−	18.8905i		−	0.681210i	0.940207	−	0.340605i	$-0.110632\pi$
$770$	4.27989	+	0.116406i	0.154236	+	0.00419499i
$771$	19.5788	−	6.36153i	0.705112	−	0.229105i
$772$	10.2281	+	1.61998i	0.368119	+	0.0583043i
$773$	−1.73639	−	10.9631i	−0.0624535	−	0.394316i	−0.999037	−	0.0438719i	$-0.986031\pi$
$773$	−1.73639	−	10.9631i	−0.0624535	−	0.394316i	0.936584	−	0.350444i	$-0.113969\pi$
$774$	4.50478			0.161921
$775$	−27.4079	−	4.87902i	−0.984522	−	0.175260i
$776$	11.5129			0.413290
$777$	−1.44711	−	9.13668i	−0.0519147	−	0.327777i
$778$	32.8094	+	5.19649i	1.17627	+	0.186303i
$779$	−14.4425	+	4.69266i	−0.517457	+	0.168132i
$780$	−10.5717	−	0.287533i	−0.378527	−	0.0102953i
$781$		−	9.68078i		−	0.346406i
$782$	−21.8342	+	42.8520i	−0.780788	+	1.53238i
$783$	0.403208	+	0.791340i	0.0144095	+	0.0282802i
$784$	3.89840	+	1.26667i	0.139229	+	0.0452381i
$785$	6.44125	+	49.3117i	0.229898	+	1.76001i
$786$	−8.65404	+	2.81187i	−0.308679	+	0.100296i
$787$	21.6838	−	3.43437i	0.772944	−	0.122422i	0.242510	−	0.970149i	$-0.422029\pi$
$787$	21.6838	−	3.43437i	0.772944	−	0.122422i	0.530433	+	0.847727i	$0.322029\pi$
$788$	−8.10837	−	1.28424i	−0.288849	−	0.0457491i
$789$	8.13990	+	2.64481i	0.289788	+	0.0941578i
$790$	−13.9340	−	2.59709i	−0.495749	−	0.0924005i
$791$	−10.8574	+	7.88837i	−0.386045	+	0.280478i
$792$	0.510367	+	1.00165i	0.0181351	+	0.0355921i
$793$	−3.77425	+	23.8297i	−0.134028	+	0.846218i
$794$	−1.69197	+	2.32880i	−0.0600458	+	0.0826460i
$795$	−0.694732	+	0.205024i	−0.0246396	+	0.00727147i
$796$	7.49065	−	10.3100i	0.265499	−	0.365428i
$797$	−18.7330	−	36.7655i	−0.663556	−	1.30230i	−0.939968	−	0.341262i	$-0.889146\pi$
$797$	−18.7330	−	36.7655i	−0.663556	−	1.30230i	0.276412	−	0.961039i	$-0.410854\pi$
$798$	5.40765	−	2.75533i	0.191429	−	0.0975377i
$799$	−2.48909	−	7.66064i	−0.0880577	−	0.271014i
$800$	3.33813	+	3.72249i	0.118021	+	0.131610i
$801$		−	6.18782i		−	0.218636i
$802$	0.786578	+	0.400782i	0.0277751	+	0.0141521i
$803$	−1.86226	+	11.7578i	−0.0657177	+	0.414925i
$804$	0.0101967	+	0.00740836i	0.000359611	+	0.000261273i
$805$	0.668627	−	24.5833i	0.0235660	−	0.866447i
$806$	−3.19907	+	26.1379i	−0.112682	+	0.920670i
$807$	14.7728	+	14.7728i	0.520026	+	0.520026i
$808$	16.6764	−	2.64129i	0.586675	−	0.0929201i
$809$	−2.45769	+	1.78561i	−0.0864077	+	0.0627789i	−0.630150	−	0.776473i	$-0.717007\pi$
$809$	−2.45769	+	1.78561i	−0.0864077	+	0.0627789i	0.543743	+	0.839252i	$0.317007\pi$
$810$	1.06895	−	1.96401i	0.0375590	−	0.0690084i
$811$	−38.3228			−1.34570			−0.672849	−	0.739780i	$-0.734929\pi$
$811$	−38.3228			−1.34570			−0.672849	+	0.739780i	$0.734929\pi$
$812$	−1.06964	+	1.06964i	−0.0375372	+	0.0375372i
$813$	25.5531	+	13.0200i	0.896188	+	0.456630i
$814$	−5.80682	−	1.88675i	−0.203529	−	0.0661305i
$815$	1.57639	+	3.31358i	0.0552184	+	0.116070i
$816$	−6.02566	−	4.37790i	−0.210940	−	0.153257i
$817$	−14.3024	−	7.28745i	−0.500378	−	0.254956i
$818$	2.19314	+	13.8470i	0.0766815	+	0.484148i
$819$	−6.51702	+	4.73489i	−0.227723	+	0.165451i
$820$	−8.97961	−	3.19008i	−0.313582	−	0.111402i
$821$	−6.42888	−	8.84860i	−0.224370	−	0.308818i	0.681960	−	0.731389i	$-0.261128\pi$
$821$	−6.42888	−	8.84860i	−0.224370	−	0.308818i	−0.906330	+	0.422571i	$0.861128\pi$
$822$	6.18442	+	0.979516i	0.215706	+	0.0341645i
$823$	−15.3415	+	7.81688i	−0.534771	+	0.272479i	−0.700451	−	0.713700i	$-0.747018\pi$
$823$	−15.3415	+	7.81688i	−0.534771	+	0.272479i	0.165681	+	0.986179i	$0.447018\pi$
$824$	4.10751	+	5.65350i	0.143092	+	0.196949i
$825$	−5.59128	+	0.576230i	−0.194663	+	0.0200618i
$826$	−3.66066	−	11.2664i	−0.127371	−	0.392007i
$827$	36.1005	−	5.71775i	1.25534	−	0.198826i	0.506884	−	0.862014i	$-0.330797\pi$
$827$	36.1005	−	5.71775i	1.25534	−	0.198826i	0.748452	+	0.663189i	$0.230797\pi$
$828$	5.75339	−	2.93150i	0.199944	−	0.101877i
$829$	5.97923	−	18.4022i	0.207667	−	0.639134i	−0.791926	−	0.610617i	$-0.790922\pi$
$829$	5.97923	−	18.4022i	0.207667	−	0.639134i	0.999593	−	0.0285169i	$-0.00907845\pi$
$830$	1.67599	−	0.494608i	0.0581746	−	0.0171681i
$831$	9.79320			0.339722
$832$	3.34429	−	3.34429i	0.115942	−	0.115942i
$833$	13.8603	−	27.2024i	0.480232	−	0.942508i
$834$	9.45206	+	13.0096i	0.327298	+	0.450487i
$835$	0.993833	−	0.129818i	0.0343930	−	0.00449253i
$836$		−	4.00581i		−	0.138544i
$837$	−4.61709	−	3.11167i	−0.159590	−	0.107555i
$838$	−9.17736	+	9.17736i	−0.317027	+	0.317027i
$839$	−0.995800	+	1.37060i	−0.0343788	+	0.0473184i	−0.825860	−	0.563875i	$-0.809310\pi$
$839$	−0.995800	+	1.37060i	−0.0343788	+	0.0473184i	0.791482	+	0.611193i	$0.209310\pi$
$840$	3.74405	+	0.697838i	0.129182	+	0.0240777i
$841$	−8.71774	−	26.8304i	−0.300612	−	0.925188i
$842$	−18.2952	−	18.2952i	−0.630495	−	0.630495i
$843$	−9.72964	−	9.72964i	−0.335107	−	0.335107i
$844$	−18.6362	+	6.05527i	−0.641484	+	0.208431i
$845$	−19.7401	−	7.01282i	−0.679080	−	0.241248i
$846$	−0.334191	+	1.02853i	−0.0114897	+	0.0353617i
$847$	2.59415	+	16.3788i	0.0891361	+	0.562783i
$848$	0.147066	−	0.288633i	0.00505026	−	0.00991170i
$849$	−10.4147	−	7.56674i	−0.357432	−	0.259690i
$850$	31.2736	−	20.2194i	1.07268	−	0.693521i
$851$	−10.8373	+	33.3538i	−0.371498	+	1.14335i
$852$	1.34712	−	8.50540i	0.0461517	−	0.291390i
$853$	3.30113	−	20.8425i	0.113028	−	0.713633i	−0.864469	−	0.502686i	$-0.832345\pi$
$853$	3.30113	−	20.8425i	0.113028	−	0.713633i	0.977497	−	0.210947i	$-0.0676548\pi$
$854$	2.68494	−	8.26339i	0.0918767	−	0.282767i
$855$	−6.57106	+	4.50638i	−0.224725	+	0.154115i
$856$	−2.12084	−	1.54088i	−0.0724889	−	0.0526663i
$857$	−18.4054	+	36.1226i	−0.628715	+	1.23392i	0.328488	+	0.944508i	$0.393461\pi$
$857$	−18.4054	+	36.1226i	−0.628715	+	1.23392i	−0.957204	+	0.289415i	$0.906539\pi$
$858$	0.831739	+	5.25139i	0.0283951	+	0.179280i
$859$	9.52783	−	29.3237i	0.325085	−	1.00051i	−0.646317	−	0.763069i	$-0.723691\pi$
$859$	9.52783	−	29.3237i	0.325085	−	1.00051i	0.971402	−	0.237441i	$-0.0763086\pi$
$860$	−4.32734	−	9.09612i	−0.147561	−	0.310175i
$861$	−6.90336	+	2.24304i	−0.235266	+	0.0764425i
$862$	28.0467	+	28.0467i	0.955273	+	0.955273i
$863$	17.5549	+	17.5549i	0.597574	+	0.597574i	0.939666	−	0.342092i	$-0.111136\pi$
$863$	17.5549	+	17.5549i	0.597574	+	0.597574i	−0.342092	+	0.939666i	$0.611136\pi$
$864$	0.309017	+	0.951057i	0.0105130	+	0.0323556i
$865$	4.41419	−	23.6831i	0.150087	−	0.805249i
$866$	−1.14941	+	1.58202i	−0.0390584	+	0.0537593i
$867$	−27.2056	+	27.2056i	−0.923951	+	0.923951i
$868$	2.61039	−	9.11681i	0.0886023	−	0.309445i
$869$			7.12592i			0.241730i
$870$	1.21056	−	1.57433i	0.0410418	−	0.0533749i
$871$	0.0350382	+	0.0482259i	0.00118722	+	0.00163407i
$872$	7.94763	−	15.5981i	0.269141	−	0.528219i
$873$	−8.14086	+	8.14086i	−0.275526	+	0.275526i
$874$	−23.0090			−0.778291
$875$	−9.99900	+	16.2063i	−0.338028	+	0.547871i
$876$	−3.27231	+	10.0711i	−0.110561	+	0.340272i
$877$	−43.3703	+	22.0983i	−1.46451	+	0.746206i	−0.990909	−	0.134533i	$-0.957047\pi$
$877$	−43.3703	+	22.0983i	−1.46451	+	0.746206i	−0.473602	+	0.880739i	$0.657047\pi$
$878$	17.7558	−	2.81225i	0.599230	−	0.0949087i
$879$	−4.89567	−	15.0673i	−0.165127	−	0.508208i
$880$	1.53229	−	1.99273i	0.0516533	−	0.0671751i
$881$	10.8760	+	14.9695i	0.366422	+	0.504336i	0.951924	−	0.306335i	$-0.0991026\pi$
$881$	10.8760	+	14.9695i	0.366422	+	0.504336i	−0.585502	+	0.810671i	$0.699103\pi$
$882$	−3.65225	+	1.86092i	−0.122978	+	0.0626603i
$883$	22.1532	+	3.50872i	0.745513	+	0.118078i	0.517623	−	0.855609i	$-0.326817\pi$
$883$	22.1532	+	3.50872i	0.745513	+	0.118078i	0.227891	+	0.973687i	$0.426817\pi$
$884$	−20.7055	−	28.4986i	−0.696400	−	0.958512i
$885$	6.68116	+	14.0439i	0.224585	+	0.472080i
$886$	11.7582	−	8.54281i	0.395023	−	0.287001i
$887$	−0.817292	−	5.16018i	−0.0274420	−	0.173262i	0.970161	−	0.242462i	$-0.0779551\pi$
$887$	−0.817292	−	5.16018i	−0.0274420	−	0.173262i	−0.997603	+	0.0692007i	$0.977955\pi$
$888$	−4.83924	−	2.46572i	−0.162394	−	0.0827440i
$889$	18.9697	+	13.7823i	0.636223	+	0.462243i
$890$	−12.4945	+	5.94408i	−0.418818	+	0.199246i
$891$	−1.06916	−	0.347390i	−0.0358181	−	0.0116380i
$892$	8.73185	+	4.44910i	0.292364	+	0.148967i
$893$	2.72491	−	2.72491i	0.0911856	−	0.0911856i
$894$	−1.03917			−0.0347549
$895$	−0.304819	−	1.03289i	−0.0101890	−	0.0345257i
$896$	−1.37794	+	1.00113i	−0.0460337	+	0.0334455i
$897$	30.1635	−	4.77743i	1.00713	−	0.159514i
$898$	12.7221	+	12.7221i	0.424541	+	0.424541i
$899$	−3.61782	−	3.37106i	−0.120661	−	0.112431i
$900$	−4.99261	−	0.271783i	−0.166420	−	0.00905945i
$901$	−1.95195	−	1.41818i	−0.0650290	−	0.0472463i
$902$	−0.749462	+	4.73192i	−0.0249544	+	0.157556i
$903$	−6.83639	−	3.48332i	−0.227501	−	0.115917i
$904$			7.87946i			0.262067i
$905$	−1.12712	+	41.4405i	−0.0374666	+	1.37753i
$906$	3.55420	+	10.9387i	0.118080	+	0.363414i
$907$	−38.1974	+	19.4625i	−1.26832	+	0.646243i	−0.953066	−	0.302763i	$-0.902091\pi$
$907$	−38.1974	+	19.4625i	−1.26832	+	0.646243i	−0.315258	+	0.949006i	$0.602091\pi$
$908$	6.06984	+	11.9127i	0.201435	+	0.395338i
$909$	−9.92434	+	13.6597i	−0.329170	+	0.453063i
$910$	15.8211	+	8.61089i	0.524464	+	0.285448i
$911$	−20.0965	+	27.6604i	−0.665826	+	0.916431i	−0.999657	−	0.0262021i	$-0.991659\pi$
$911$	−20.0965	+	27.6604i	−0.665826	+	0.916431i	0.333831	+	0.942633i	$0.391659\pi$
$912$	0.557426	−	3.51945i	0.0184582	−	0.116541i
$913$	−0.398844	−	0.782775i	−0.0131998	−	0.0259061i
$914$	19.5511	−	14.2047i	0.646692	−	0.469850i
$915$	−2.09007	+	11.2137i	−0.0690957	+	0.370713i
$916$	15.1564	+	4.92461i	0.500781	+	0.162714i
$917$	15.3075	+	2.42447i	0.505499	+	0.0800632i
$918$	7.35642	−	1.16514i	0.242798	−	0.0384555i
$919$	−22.5876	+	7.33914i	−0.745095	+	0.242096i	−0.656869	−	0.754005i	$-0.728120\pi$
$919$	−22.5876	+	7.33914i	−0.745095	+	0.242096i	−0.0882256	+	0.996101i	$0.528120\pi$
$920$	−11.4461	−	8.80131i	−0.377366	−	0.290170i
$921$	8.59533	+	2.79279i	0.283226	+	0.0920256i
$922$	3.97555	+	7.80246i	0.130928	+	0.256960i
$923$	18.4902	−	36.2890i	0.608611	−	1.19447i
$924$		−	1.91473i		−	0.0629900i
$925$	20.2176	−	18.1301i	0.664750	−	0.596113i
$926$	20.9478	−	6.80635i	0.688387	−	0.223671i
$927$	−6.90207	−	1.09318i	−0.226694	−	0.0359048i
$928$	0.138936	+	0.877207i	0.00456080	+	0.0287957i
$929$	−33.7234			−1.10643			−0.553214	−	0.833039i	$-0.686599\pi$
$929$	−33.7234			−1.10643			−0.553214	+	0.833039i	$0.686599\pi$
$930$	−1.84791	+	12.3120i	−0.0605952	+	0.403726i
$931$	14.6061			0.478696
$932$	1.16448	+	7.35226i	0.0381439	+	0.240831i
$933$	7.15612	+	1.13342i	0.234281	+	0.0371065i
$934$	33.6731	−	10.9411i	1.10182	−	0.358002i
$935$	−12.8741	−	13.5940i	−0.421027	−	0.444570i
$936$			4.72954i			0.154590i
$937$	−27.2543	+	53.4897i	−0.890361	+	1.74743i	−0.270499	+	0.962720i	$0.587189\pi$
$937$	−27.2543	+	53.4897i	−0.890361	+	1.74743i	−0.619862	+	0.784711i	$0.712811\pi$
$938$	−0.00974592	−	0.0191274i	−0.000318216	−	0.000624533i
$939$	−28.0887	−	9.12658i	−0.916641	−	0.297835i
$940$	2.39786	−	0.313216i	0.0782094	−	0.0102160i
$941$	47.4065	−	15.4033i	1.54541	−	0.502133i	0.592546	−	0.805537i	$-0.298123\pi$
$941$	47.4065	−	15.4033i	1.54541	−	0.502133i	0.952862	+	0.303403i	$0.0981230\pi$
$942$	21.9664	−	3.47913i	0.715703	−	0.113356i
$943$	27.1797	+	4.30484i	0.885093	+	0.140185i
$944$	−6.61472	−	2.14925i	−0.215291	−	0.0699522i
$945$	−3.14089	+	2.15400i	−0.102173	+	0.0700696i
$946$	−4.09701	+	2.97665i	−0.133205	+	0.0967792i
$947$	8.35725	+	16.4020i	0.271574	+	0.532994i	0.986006	−	0.166711i	$-0.0533147\pi$
$947$	8.35725	+	16.4020i	0.271574	+	0.532994i	−0.714432	+	0.699705i	$0.753315\pi$
$948$	−0.991603	+	6.26074i	−0.0322058	+	0.203339i
$949$	−29.4381	+	40.5181i	−0.955602	+	1.31527i
$950$	15.4116	+	8.93951i	0.500018	+	0.290036i
$951$	9.72973	−	13.3918i	0.315508	−	0.434259i
$952$	5.75925	+	11.3032i	0.186658	+	0.366338i
$953$	−22.3054	+	11.3652i	−0.722543	+	0.368154i	−0.776269	−	0.630402i	$-0.782890\pi$
$953$	−22.3054	+	11.3652i	−0.722543	+	0.368154i	0.0537262	+	0.998556i	$0.482890\pi$
$954$	0.100103	+	0.308086i	0.00324096	+	0.00997464i
$955$	31.8222	+	0.865515i	1.02974	+	0.0280074i
$956$		−	28.5495i		−	0.923356i
$957$	−0.889608	−	0.453278i	−0.0287569	−	0.0146524i
$958$	−0.172441	+	1.08875i	−0.00557131	+	0.0351758i
$959$	−8.62798	−	6.26859i	−0.278612	−	0.202423i
$960$	1.62354	−	1.53757i	0.0523996	−	0.0496247i
$961$	30.0850	+	7.47630i	0.970483	+	0.241171i
$962$	−18.1635	−	18.1635i	−0.585616	−	0.585616i
$963$	2.58923	−	0.410094i	0.0834368	−	0.0132151i
$964$	22.8449	−	16.5978i	0.735785	−	0.534579i
$965$	20.3386	+	11.0696i	0.654723	+	0.356344i
$966$	−10.9980			−0.353856
$967$	−4.04268	+	4.04268i	−0.130004	+	0.130004i	−0.769115	−	0.639111i	$-0.779303\pi$
$967$	−4.04268	+	4.04268i	−0.130004	+	0.130004i	0.639111	+	0.769115i	$0.279303\pi$
$968$	8.67504	+	4.42015i	0.278826	+	0.142069i
$969$	−25.2411	−	8.20133i	−0.810861	−	0.263465i
$970$	24.2583	+	8.61796i	0.778888	+	0.276706i
$971$	31.6167	+	22.9709i	1.01463	+	0.737171i	0.965175	−	0.261605i	$-0.0842518\pi$
$971$	31.6167	+	22.9709i	1.01463	+	0.737171i	0.0494541	+	0.998776i	$0.484252\pi$
$972$	−0.891007	−	0.453990i	−0.0285790	−	0.0145618i
$973$	−4.28462	−	27.0520i	−0.137359	−	0.867249i
$974$	7.75693	−	5.63574i	0.248548	−	0.180581i
$975$	−22.0598	−	8.51924i	−0.706481	−	0.272834i
$976$	−2.99846	−	4.12703i	−0.0959783	−	0.132103i
$977$	37.5981	+	5.95495i	1.20287	+	0.190516i	0.725522	−	0.688199i	$-0.241598\pi$
$977$	37.5981	+	5.95495i	1.20287	+	0.190516i	0.477348	+	0.878715i	$0.341598\pi$
$978$	1.46217	−	0.745010i	0.0467549	−	0.0238228i
$979$	4.08876	+	5.62770i	0.130677	+	0.179862i
$980$	7.26598	+	5.58707i	0.232103	+	0.178472i
$981$	5.40970	+	16.6494i	0.172719	+	0.531573i
$982$	30.1621	−	4.77721i	0.962511	−	0.152447i
$983$	39.4997	−	20.1261i	1.25984	−	0.641923i	0.308844	−	0.951113i	$-0.400058\pi$
$983$	39.4997	−	20.1261i	1.25984	−	0.641923i	0.951000	+	0.309190i	$0.100058\pi$
$984$	−1.31694	+	4.05311i	−0.0419824	+	0.129208i
$985$	−16.1235	−	8.77546i	−0.513736	−	0.279609i
$986$	6.61499			0.210664
$987$	1.30247	−	1.30247i	0.0414582	−	0.0414582i
$988$	7.65105	−	15.0160i	0.243412	−	0.477723i
$989$	17.0976	+	23.5328i	0.543672	+	0.748301i
$990$	0.325587	+	2.49257i	0.0103478	+	0.0792189i
$991$			45.0540i			1.43119i	0.698516	+	0.715594i	$0.253844\pi$
$991$			45.0540i			1.43119i	−0.698516	+	0.715594i	$0.746156\pi$
$992$	−3.42956	−	4.38613i	−0.108888	−	0.139260i
$993$	16.0948	−	16.0948i	0.510753	−	0.510753i
$994$	−8.62117	+	11.8660i	−0.273447	+	0.376367i
$995$	23.5007	−	16.1166i	0.745023	−	0.510931i
$996$	−0.241492	−	0.743236i	−0.00765197	−	0.0235503i
$997$	−40.3794	−	40.3794i	−1.27883	−	1.27883i	−0.941324	−	0.337503i	$-0.890418\pi$
$997$	−40.3794	−	40.3794i	−1.27883	−	1.27883i	−0.337503	−	0.941324i	$-0.609582\pi$
$998$	2.74917	+	2.74917i	0.0870233	+	0.0870233i
$999$	5.16538	−	1.67834i	0.163426	−	0.0531002i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	930.2.bj.b.277.9	yes	128
5.3	odd	4		930.2.bj.a.463.9	✓	128
31.15	odd	10		930.2.bj.a.697.9	yes	128
155.108	even	20	inner	930.2.bj.b.883.9	yes	128

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
930.2.bj.a.463.9	✓	128	5.3	odd	4
930.2.bj.a.697.9	yes	128	31.15	odd	10
930.2.bj.b.277.9	yes	128	1.1	even	1	trivial
930.2.bj.b.883.9	yes	128	155.108	even	20	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:	\( N \)	\(=\)	\( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	930.bj (of order \(20\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(0.156434 + 0.987688i) q^{2} +(0.987688 + 0.156434i) q^{3} +(-0.951057 + 0.309017i) q^{4} +(-2.23524 - 0.0607951i) q^{5} +1.00000i q^{6} +(0.773249 - 1.51759i) q^{7} +(-0.453990 - 0.891007i) q^{8} +(0.951057 + 0.309017i) q^{9} +O(q^{10})\)	\(q+(0.156434 + 0.987688i) q^{2} +(0.987688 + 0.156434i) q^{3} +(-0.951057 + 0.309017i) q^{4} +(-2.23524 - 0.0607951i) q^{5} +1.00000i q^{6} +(0.773249 - 1.51759i) q^{7} +(-0.453990 - 0.891007i) q^{8} +(0.951057 + 0.309017i) q^{9} +(-0.289622 - 2.21723i) q^{10} +(-1.06916 + 0.347390i) q^{11} +(-0.987688 + 0.156434i) q^{12} +(-4.67131 - 0.739864i) q^{13} +(1.61986 + 0.526326i) q^{14} +(-2.19821 - 0.409715i) q^{15} +(0.809017 - 0.587785i) q^{16} +(-3.38138 - 6.63633i) q^{17} +(-0.156434 + 0.987688i) q^{18} +(2.09447 - 2.88279i) q^{19} +(2.14463 - 0.632908i) q^{20} +(1.00113 - 1.37794i) q^{21} +(-0.510367 - 1.00165i) q^{22} +(-5.75339 + 2.93150i) q^{23} +(-0.309017 - 0.951057i) q^{24} +(4.99261 + 0.271783i) q^{25} -4.72954i q^{26} +(0.891007 + 0.453990i) q^{27} +(-0.266443 + 1.68226i) q^{28} +(0.718522 + 0.522037i) q^{29} +(0.0607951 - 2.23524i) q^{30} +(-5.52653 - 0.676401i) q^{31} +(0.707107 + 0.707107i) q^{32} +(-1.11034 + 0.175860i) q^{33} +(6.02566 - 4.37790i) q^{34} +(-1.82066 + 3.34516i) q^{35} -1.00000 q^{36} +(3.84044 - 3.84044i) q^{37} +(3.17494 + 1.61771i) q^{38} +(-4.49806 - 1.46151i) q^{39} +(0.960610 + 2.01922i) q^{40} +(-3.44778 - 2.50496i) q^{41} +(1.51759 + 0.773249i) q^{42} +(-0.704703 - 4.44932i) q^{43} +(0.909480 - 0.660776i) q^{44} +(-2.10705 - 0.748547i) q^{45} +(-3.79544 - 5.22397i) q^{46} +(1.06815 + 0.169178i) q^{47} +(0.891007 - 0.453990i) q^{48} +(2.40934 + 3.31618i) q^{49} +(0.512579 + 4.97366i) q^{50} +(-2.30160 - 7.08359i) q^{51} +(4.67131 - 0.739864i) q^{52} +(0.288633 - 0.147066i) q^{53} +(-0.309017 + 0.951057i) q^{54} +(2.41094 - 0.711502i) q^{55} -1.70323 q^{56} +(2.51965 - 2.51965i) q^{57} +(-0.403208 + 0.791340i) q^{58} +(-4.08812 - 5.62681i) q^{59} +(2.21723 - 0.289622i) q^{60} -5.10128i q^{61} +(-0.196465 - 5.56430i) q^{62} +(1.20436 - 1.20436i) q^{63} +(-0.587785 + 0.809017i) q^{64} +(10.3965 + 1.93777i) q^{65} +(-0.347390 - 1.06916i) q^{66} +(-0.00891228 - 0.00891228i) q^{67} +(5.26662 + 5.26662i) q^{68} +(-6.14114 + 1.99538i) q^{69} +(-3.58879 - 1.27495i) q^{70} +(-2.66108 + 8.18995i) q^{71} +(-0.156434 - 0.987688i) q^{72} +(4.80749 - 9.43524i) q^{73} +(4.39394 + 3.19238i) q^{74} +(4.88862 + 1.04945i) q^{75} +(-1.10113 + 3.38892i) q^{76} +(-0.299530 + 1.89116i) q^{77} +(0.739864 - 4.67131i) q^{78} +(1.95879 - 6.02854i) q^{79} +(-1.84408 + 1.26466i) q^{80} +(0.809017 + 0.587785i) q^{81} +(1.93477 - 3.79719i) q^{82} +(0.122251 + 0.771863i) q^{83} +(-0.526326 + 1.61986i) q^{84} +(7.15474 + 15.0394i) q^{85} +(4.28430 - 1.39205i) q^{86} +(0.628011 + 0.628011i) q^{87} +(0.794914 + 0.794914i) q^{88} +(-1.91214 - 5.88497i) q^{89} +(0.409715 - 2.19821i) q^{90} +(-4.73489 + 6.51702i) q^{91} +(4.56592 - 4.56592i) q^{92} +(-5.35267 - 1.53261i) q^{93} +1.08146i q^{94} +(-4.85690 + 6.31639i) q^{95} +(0.587785 + 0.809017i) q^{96} +(-5.22675 + 10.2581i) q^{97} +(-2.89844 + 2.89844i) q^{98} -1.12418 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 128 q + 4 q^{7}+O(q^{10}) \) 128 * q + 4 * q^7	\( 128 q + 4 q^{7} - 4 q^{10} - 4 q^{15} + 32 q^{16} + 12 q^{17} + 40 q^{19} + 40 q^{21} + 4 q^{22} + 32 q^{24} - 8 q^{25} - 4 q^{28} - 8 q^{29} + 20 q^{31} + 4 q^{33} + 24 q^{35} - 128 q^{36} - 64 q^{37} - 16 q^{38} - 24 q^{41} + 16 q^{42} - 24 q^{43} + 8 q^{44} + 20 q^{46} - 12 q^{47} + 100 q^{49} - 24 q^{50} + 64 q^{53} + 32 q^{54} + 68 q^{55} - 16 q^{57} + 40 q^{58} + 8 q^{62} - 4 q^{63} + 84 q^{65} - 12 q^{66} - 32 q^{67} - 8 q^{68} + 88 q^{70} + 24 q^{71} + 20 q^{73} + 16 q^{74} - 24 q^{75} - 24 q^{76} + 60 q^{77} + 56 q^{79} + 32 q^{81} - 16 q^{82} + 8 q^{83} - 68 q^{85} - 20 q^{87} + 4 q^{88} - 136 q^{89} - 40 q^{91} + 48 q^{93} - 92 q^{95} + 64 q^{97} - 16 q^{98} + 8 q^{99}+O(q^{100}) \) 128 * q + 4 * q^7 - 4 * q^10 - 4 * q^15 + 32 * q^16 + 12 * q^17 + 40 * q^19 + 40 * q^21 + 4 * 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 + 16 * q^42 - 24 * q^43 + 8 * q^44 + 20 * q^46 - 12 * q^47 + 100 * q^49 - 24 * q^50 + 64 * q^53 + 32 * q^54 + 68 * q^55 - 16 * q^57 + 40 * q^58 + 8 * q^62 - 4 * q^63 + 84 * q^65 - 12 * q^66 - 32 * q^67 - 8 * q^68 + 88 * q^70 + 24 * q^71 + 20 * q^73 + 16 * q^74 - 24 * q^75 - 24 * q^76 + 60 * q^77 + 56 * q^79 + 32 * q^81 - 16 * q^82 + 8 * q^83 - 68 * q^85 - 20 * q^87 + 4 * q^88 - 136 * q^89 - 40 * q^91 + 48 * q^93 - 92 * q^95 + 64 * q^97 - 16 * q^98 + 8 * q^99

Introduction

L-functions

Modular forms

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