LMFDB - Embedded newform 290.2.o.b.247.8

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [290,2,Mod(3,290)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(290, base_ring=CyclotomicField(28)) chi = DirichletCharacter(H, H._module([21, 5])) N = Newforms(chi, 2, names="a")

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("290.3"); S:= CuspForms(chi, 2); N := Newforms(S);

Level:	$ N $	$=$	$ 290 = 2 \cdot 5 \cdot 29 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	290.o (of order $28$, degree $12$, minimal)

Newform invariants

comment:select newform

sage:traces = [96] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(1)] == traces)

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

Self dual:	no
Analytic conductor:	$2.31566165862$
Analytic rank:	$0$
Dimension:	$96$
Relative dimension:	$8$ over $\Q(\zeta_{28})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{28}]$

Embedding invariants

Embedding label			247.8
Character	$\chi$	$=$	290.247
Dual form			290.2.o.b.263.8

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(0.781831 + 0.623490i) q^{2} +(0.677134 - 2.96672i) q^{3} +(0.222521 + 0.974928i) q^{4} +(-1.61253 - 1.54911i) q^{5} +(2.37912 - 1.89729i) q^{6} +(0.822779 - 0.516986i) q^{7} +(-0.433884 + 0.900969i) q^{8} +(-5.64000 - 2.71608i) q^{9} +(-0.294869 - 2.21654i) q^{10} +(1.75243 + 0.613201i) q^{11} +3.04301 q^{12} +(-0.582782 - 0.203924i) q^{13} +(0.965610 + 0.108798i) q^{14} +(-5.68768 + 3.73496i) q^{15} +(-0.900969 + 0.433884i) q^{16} -1.38242i q^{17} +(-2.71608 - 5.64000i) q^{18} +(0.0458173 + 0.0287889i) q^{19} +(1.15145 - 1.91681i) q^{20} +(-0.976621 - 2.79102i) q^{21} +(0.987779 + 1.57204i) q^{22} +(8.54369 + 0.962643i) q^{23} +(2.37912 + 1.89729i) q^{24} +(0.200495 + 4.99598i) q^{25} +(-0.328492 - 0.522793i) q^{26} +(-6.18503 + 7.75578i) q^{27} +(0.687110 + 0.687110i) q^{28} +(4.05449 - 3.54417i) q^{29} +(-6.77552 - 0.626102i) q^{30} +(-8.96432 + 1.01004i) q^{31} +(-0.974928 - 0.222521i) q^{32} +(3.00582 - 4.78374i) q^{33} +(0.861927 - 1.08082i) q^{34} +(-2.12762 - 0.440923i) q^{35} +(1.39297 - 6.10298i) q^{36} +(8.02757 + 3.86587i) q^{37} +(0.0178718 + 0.0510747i) q^{38} +(-0.999607 + 1.59087i) q^{39} +(2.09535 - 0.780703i) q^{40} +(0.177717 - 0.177717i) q^{41} +(0.976621 - 2.79102i) q^{42} +(3.13539 + 3.93166i) q^{43} +(-0.207875 + 1.84494i) q^{44} +(4.88714 + 13.1168i) q^{45} +(6.07953 + 6.07953i) q^{46} +(4.95119 - 2.38437i) q^{47} +(0.677134 + 2.96672i) q^{48} +(-2.62750 + 5.45605i) q^{49} +(-2.95819 + 4.03102i) q^{50} +(-4.10126 - 0.936086i) q^{51} +(0.0691302 - 0.613547i) q^{52} +(0.703926 + 6.24751i) q^{53} +(-9.67130 + 2.20741i) q^{54} +(-1.87592 - 3.70351i) q^{55} +(0.108798 + 0.965610i) q^{56} +(0.116433 - 0.116433i) q^{57} +(5.37968 - 0.243011i) q^{58} +1.11487i q^{59} +(-4.90695 - 4.71397i) q^{60} +(11.9296 - 7.49586i) q^{61} +(-7.63833 - 4.79948i) q^{62} +(-6.04465 + 0.681069i) q^{63} +(-0.623490 - 0.781831i) q^{64} +(0.623850 + 1.23163i) q^{65} +(5.33266 - 1.86598i) q^{66} +(-8.32731 + 2.91385i) q^{67} +(1.34776 - 0.307618i) q^{68} +(8.64112 - 24.6949i) q^{69} +(-1.38853 - 1.67128i) q^{70} +(1.51471 + 3.14534i) q^{71} +(4.89421 - 3.90300i) q^{72} +(-9.85178 + 7.85653i) q^{73} +(3.86587 + 8.02757i) q^{74} +(14.9574 + 2.78813i) q^{75} +(-0.0178718 + 0.0510747i) q^{76} +(1.75888 - 0.401452i) q^{77} +(-1.77341 + 0.620544i) q^{78} +(-14.1051 + 4.93558i) q^{79} +(2.12497 + 0.696053i) q^{80} +(7.11211 + 8.91830i) q^{81} +(0.249749 - 0.0281400i) q^{82} +(-13.9728 - 8.77968i) q^{83} +(2.50373 - 1.57320i) q^{84} +(-2.14153 + 2.22920i) q^{85} +5.02878i q^{86} +(-7.76912 - 14.4284i) q^{87} +(-1.31283 + 1.31283i) q^{88} +(-1.71370 - 15.2095i) q^{89} +(-4.35724 + 13.3022i) q^{90} +(-0.584926 + 0.133506i) q^{91} +(0.962643 + 8.54369i) q^{92} +(-3.07355 + 27.2785i) q^{93} +(5.35762 + 1.22284i) q^{94} +(-0.0292844 - 0.117399i) q^{95} +(-1.32031 + 2.74166i) q^{96} +(-0.152686 - 0.668961i) q^{97} +(-5.45605 + 2.62750i) q^{98} +(-8.21820 - 8.21820i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 96 q - 4 q^{3} + 16 q^{4} - 14 q^{5} - 12 q^{7} - 24 q^{9} - 6 q^{10} - 18 q^{11} + 4 q^{12} + 14 q^{13} + 12 q^{14} - 6 q^{15} - 16 q^{16} - 14 q^{19} - 24 q^{21} + 4 q^{22} + 40 q^{23} + 24 q^{25} - 42 q^{26}+ \cdots - 60 q^{99}+O(q^{100}) $ 96 * q - 4 * q^3 + 16 * q^4 - 14 * q^5 - 12 * q^7 - 24 * q^9 - 6 * q^10 - 18 * q^11 + 4 * q^12 + 14 * q^13 + 12 * q^14 - 6 * q^15 - 16 * q^16 - 14 * q^19 - 24 * q^21 + 4 * q^22 + 40 * q^23 + 24 * q^25 - 42 * q^26 - 4 * q^27 - 2 * q^28 - 6 * q^29 - 34 * q^30 - 20 * q^31 - 18 * q^33 - 4 * q^34 - 26 * q^35 + 10 * q^36 + 46 * q^37 + 14 * q^38 + 18 * q^39 + 6 * q^40 - 16 * q^41 + 24 * q^42 - 20 * q^43 - 24 * q^44 + 44 * q^45 - 2 * q^46 - 24 * q^47 - 4 * q^48 - 14 * q^49 + 28 * q^50 + 14 * q^52 - 56 * q^53 + 48 * q^55 + 16 * q^56 + 20 * q^57 + 18 * q^58 - 8 * q^60 + 24 * q^61 - 8 * q^62 - 50 * q^63 + 16 * q^64 - 26 * q^65 + 4 * q^66 + 14 * q^67 - 2 * q^69 - 4 * q^70 - 28 * q^72 - 14 * q^73 + 14 * q^74 + 12 * q^75 - 14 * q^76 - 42 * q^77 - 60 * q^78 + 6 * q^79 - 40 * q^81 - 16 * q^82 - 6 * q^83 - 4 * q^84 - 26 * q^85 - 34 * q^87 - 4 * q^88 + 76 * q^89 - 88 * q^90 + 42 * q^91 + 30 * q^92 + 26 * q^93 + 28 * q^94 - 310 * q^95 - 4 * q^97 + 64 * q^98 - 60 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/290\mathbb{Z}\right)^\times$.

$n$	$31$	$117$
$\chi(n)$	$e\left(\frac{27}{28}\right)$	$e\left(\frac{1}{4}\right)$

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	0.781831	+	0.623490i	0.552838	+	0.440874i
$2$	0.781831	+	0.623490i	0.552838	+	0.440874i
$3$	0.677134	−	2.96672i	0.390944	−	1.71284i	−0.270396	−	0.962749i	$-0.587155\pi$
$3$	0.677134	−	2.96672i	0.390944	−	1.71284i	0.661340	−	0.750087i	$-0.269988\pi$
$4$	0.222521	+	0.974928i	0.111260	+	0.487464i
$5$	−1.61253	−	1.54911i	−0.721145	−	0.692785i
$5$	−1.61253	−	1.54911i	−0.721145	−	0.692785i
$6$	2.37912	−	1.89729i	0.971273	−	0.774565i
$7$	0.822779	−	0.516986i	0.310981	−	0.195402i	−0.367494	−	0.930026i	$-0.619784\pi$
$7$	0.822779	−	0.516986i	0.310981	−	0.195402i	0.678475	+	0.734624i	$0.262641\pi$
$8$	−0.433884	+	0.900969i	−0.153401	+	0.318541i
$9$	−5.64000	−	2.71608i	−1.88000	−	0.905361i
$10$	−0.294869	−	2.21654i	−0.0932458	−	0.700932i
$11$	1.75243	+	0.613201i	0.528377	+	0.184887i	0.581267	−	0.813713i	$-0.302557\pi$
$11$	1.75243	+	0.613201i	0.528377	+	0.184887i	−0.0528895	+	0.998600i	$0.516843\pi$
$12$	3.04301			0.878442
$13$	−0.582782	−	0.203924i	−0.161635	−	0.0565584i	0.248249	−	0.968696i	$-0.420145\pi$
$13$	−0.582782	−	0.203924i	−0.161635	−	0.0565584i	−0.409883	+	0.912138i	$0.634431\pi$
$14$	0.965610	+	0.108798i	0.258070	+	0.0290775i
$15$	−5.68768	+	3.73496i	−1.46855	+	0.964363i
$16$	−0.900969	+	0.433884i	−0.225242	+	0.108471i
$17$		−	1.38242i		−	0.335287i	−0.985848	−	0.167643i	$-0.946384\pi$
$17$		−	1.38242i		−	0.335287i	0.985848	−	0.167643i	$-0.0536157\pi$
$18$	−2.71608	−	5.64000i	−0.640187	−	1.32936i
$19$	0.0458173	+	0.0287889i	0.0105112	+	0.00660463i	0.537277	−	0.843406i	$-0.319453\pi$
$19$	0.0458173	+	0.0287889i	0.0105112	+	0.00660463i	−0.526766	+	0.850010i	$0.676596\pi$
$20$	1.15145	−	1.91681i	0.257473	−	0.428612i
$21$	−0.976621	−	2.79102i	−0.213116	−	0.609051i
$22$	0.987779	+	1.57204i	0.210595	+	0.335160i
$23$	8.54369	+	0.962643i	1.78148	+	0.200725i	0.940374	−	0.340141i	$-0.110475\pi$
$23$	8.54369	+	0.962643i	1.78148	+	0.200725i	0.841109	+	0.540866i	$0.181904\pi$
$24$	2.37912	+	1.89729i	0.485637	+	0.387282i
$25$	0.200495	+	4.99598i	0.0400991	+	0.999196i
$26$	−0.328492	−	0.522793i	−0.0644227	−	0.102528i
$27$	−6.18503	+	7.75578i	−1.19031	+	1.49260i
$28$	0.687110	+	0.687110i	0.129852	+	0.129852i
$29$	4.05449	−	3.54417i	0.752899	−	0.658136i
$29$	4.05449	−	3.54417i	0.752899	−	0.658136i
$30$	−6.77552	−	0.626102i	−1.23703	−	0.114310i
$31$	−8.96432	+	1.01004i	−1.61004	+	0.181408i	−0.870661	−	0.491883i	$-0.836309\pi$
$31$	−8.96432	+	1.01004i	−1.61004	+	0.181408i	−0.739378	+	0.673291i	$0.764880\pi$
$32$	−0.974928	−	0.222521i	−0.172345	−	0.0393365i
$33$	3.00582	−	4.78374i	0.523247	−	0.832743i
$34$	0.861927	−	1.08082i	0.147819	−	0.185359i
$35$	−2.12762	−	0.440923i	−0.359634	−	0.0745296i
$36$	1.39297	−	6.10298i	0.232161	−	1.01716i
$37$	8.02757	+	3.86587i	1.31972	+	0.635546i	0.955286	−	0.295682i	$-0.0955470\pi$
$37$	8.02757	+	3.86587i	1.31972	+	0.635546i	0.364438	+	0.931228i	$0.381261\pi$
$38$	0.0178718	+	0.0510747i	0.00289919	+	0.00828540i
$39$	−0.999607	+	1.59087i	−0.160065	+	0.254742i
$40$	2.09535	−	0.780703i	0.331304	−	0.123440i
$41$	0.177717	−	0.177717i	0.0277547	−	0.0277547i	−0.693093	−	0.720848i	$-0.743753\pi$
$41$	0.177717	−	0.177717i	0.0277547	−	0.0277547i	0.720848	+	0.693093i	$0.243753\pi$
$42$	0.976621	−	2.79102i	0.150696	−	0.430664i
$43$	3.13539	+	3.93166i	0.478143	+	0.599572i	0.961144	−	0.276048i	$-0.0890248\pi$
$43$	3.13539	+	3.93166i	0.478143	+	0.599572i	−0.483001	+	0.875620i	$0.660453\pi$
$44$	−0.207875	+	1.84494i	−0.0313383	+	0.278135i
$45$	4.88714	+	13.1168i	0.728533	+	1.95533i
$46$	6.07953	+	6.07953i	0.896378	+	0.896378i
$47$	4.95119	−	2.38437i	0.722205	−	0.347795i	−0.0364083	−	0.999337i	$-0.511592\pi$
$47$	4.95119	−	2.38437i	0.722205	−	0.347795i	0.758613	+	0.651542i	$0.225877\pi$
$48$	0.677134	+	2.96672i	0.0977359	+	0.428209i
$49$	−2.62750	+	5.45605i	−0.375357	+	0.779436i
$50$	−2.95819	+	4.03102i	−0.418351	+	0.570072i
$51$	−4.10126	−	0.936086i	−0.574291	−	0.131078i
$52$	0.0691302	−	0.613547i	0.00958663	−	0.0850837i
$53$	0.703926	+	6.24751i	0.0966916	+	0.858162i	0.944646	+	0.328092i	$0.106406\pi$
$53$	0.703926	+	6.24751i	0.0966916	+	0.858162i	−0.847954	+	0.530070i	$0.822166\pi$
$54$	−9.67130	+	2.20741i	−1.31610	+	0.300391i
$55$	−1.87592	−	3.70351i	−0.252949	−	0.499382i
$56$	0.108798	+	0.965610i	0.0145388	+	0.129035i
$57$	0.116433	−	0.116433i	0.0154219	−	0.0154219i
$58$	5.37968	−	0.243011i	0.706386	−	0.0319089i
$59$			1.11487i			0.145144i	0.997363	+	0.0725719i	$0.0231207\pi$
$59$			1.11487i			0.145144i	−0.997363	+	0.0725719i	$0.976879\pi$
$60$	−4.90695	−	4.71397i	−0.633484	−	0.608571i
$61$	11.9296	−	7.49586i	1.52743	−	0.959746i	0.533975	−	0.845500i	$-0.320698\pi$
$61$	11.9296	−	7.49586i	1.52743	−	0.959746i	0.993453	−	0.114246i	$-0.0364452\pi$
$62$	−7.63833	−	4.79948i	−0.970069	−	0.609535i
$63$	−6.04465	+	0.681069i	−0.761554	+	0.0858066i
$64$	−0.623490	−	0.781831i	−0.0779362	−	0.0977289i
$65$	0.623850	+	1.23163i	0.0773791	+	0.152765i
$66$	5.33266	−	1.86598i	0.656405	−	0.229686i
$67$	−8.32731	+	2.91385i	−1.01734	+	0.355983i	−0.786885	−	0.617099i	$-0.788308\pi$
$67$	−8.32731	+	2.91385i	−1.01734	+	0.355983i	−0.230457	+	0.973083i	$0.574022\pi$
$68$	1.34776	−	0.307618i	0.163440	−	0.0373042i
$69$	8.64112	−	24.6949i	1.04027	−	2.97292i
$70$	−1.38853	−	1.67128i	−0.165961	−	0.199756i
$71$	1.51471	+	3.14534i	0.179764	+	0.373283i	0.971307	−	0.237830i	$-0.0764362\pi$
$71$	1.51471	+	3.14534i	0.179764	+	0.373283i	−0.791543	+	0.611113i	$0.790722\pi$
$72$	4.89421	−	3.90300i	0.576788	−	0.459973i
$73$	−9.85178	+	7.85653i	−1.15306	+	0.919537i	−0.997664	−	0.0683146i	$-0.978238\pi$
$73$	−9.85178	+	7.85653i	−1.15306	+	0.919537i	−0.155399	+	0.987852i	$0.549666\pi$
$74$	3.86587	+	8.02757i	0.449399	+	0.933186i
$75$	14.9574	+	2.78813i	1.72713	+	0.321946i
$76$	−0.0178718	+	0.0510747i	−0.00205004	+	0.00585867i
$77$	1.75888	−	0.401452i	0.200443	−	0.0457497i
$78$	−1.77341	+	0.620544i	−0.200799	+	0.0702628i
$79$	−14.1051	+	4.93558i	−1.58694	+	0.555296i	−0.972346	−	0.233545i	$-0.924967\pi$
$79$	−14.1051	+	4.93558i	−1.58694	+	0.555296i	−0.614598	+	0.788840i	$0.710682\pi$
$80$	2.12497	+	0.696053i	0.237579	+	0.0778211i
$81$	7.11211	+	8.91830i	0.790234	+	0.990923i
$82$	0.249749	−	0.0281400i	0.0275802	−	0.00310754i
$83$	−13.9728	−	8.77968i	−1.53371	−	0.963695i	−0.992424	−	0.122858i	$-0.960794\pi$
$83$	−13.9728	−	8.77968i	−1.53371	−	0.963695i	−0.541288	−	0.840837i	$-0.682063\pi$
$84$	2.50373	−	1.57320i	0.273179	−	0.171650i
$85$	−2.14153	+	2.22920i	−0.232282	+	0.241790i
$86$			5.02878i			0.542267i
$87$	−7.76912	−	14.4284i	−0.832937	−	1.54689i
$88$	−1.31283	+	1.31283i	−0.139948	+	0.139948i
$89$	−1.71370	−	15.2095i	−0.181652	−	1.61220i	−0.671915	−	0.740628i	$-0.734528\pi$
$89$	−1.71370	−	15.2095i	−0.181652	−	1.61220i	0.490263	−	0.871574i	$-0.336901\pi$
$90$	−4.35724	+	13.3022i	−0.459294	+	1.40217i
$91$	−0.584926	+	0.133506i	−0.0613169	+	0.0139952i
$92$	0.962643	+	8.54369i	0.100362	+	0.890741i
$93$	−3.07355	+	27.2785i	−0.318713	+	2.82865i
$94$	5.35762	+	1.22284i	0.552596	+	0.126127i
$95$	−0.0292844	−	0.117399i	−0.00300451	−	0.0120449i
$96$	−1.32031	+	2.74166i	−0.134754	+	0.279820i
$97$	−0.152686	−	0.668961i	−0.0155029	−	0.0679227i	0.966585	−	0.256347i	$-0.0825191\pi$
$97$	−0.152686	−	0.668961i	−0.0155029	−	0.0679227i	−0.982088	+	0.188425i	$0.939662\pi$
$98$	−5.45605	+	2.62750i	−0.551144	+	0.265417i
$99$	−8.21820	−	8.21820i	−0.825960	−	0.825960i
$100$	−4.82610	+	1.30718i	−0.482610	+	0.130718i
$101$	−1.60852	+	14.2760i	−0.160054	+	1.42052i	0.614953	+	0.788564i	$0.289175\pi$
$101$	−1.60852	+	14.2760i	−0.160054	+	1.42052i	−0.775006	+	0.631953i	$0.782253\pi$
$102$	−2.62285	−	3.28895i	−0.259701	−	0.325655i
$103$	−0.976674	+	2.79118i	−0.0962346	+	0.275023i	−0.981930	−	0.189244i	$-0.939396\pi$
$103$	−0.976674	+	2.79118i	−0.0962346	+	0.275023i	0.885696	+	0.464267i	$0.153682\pi$
$104$	0.436589	−	0.436589i	0.0428110	−	0.0428110i
$105$	−2.74878	+	6.01350i	−0.268254	+	0.586857i
$106$	−3.34491	+	5.32339i	−0.324886	+	0.517054i
$107$	1.15702	+	3.30658i	0.111854	+	0.319659i	0.986180	−	0.165680i	$-0.0529818\pi$
$107$	1.15702	+	3.30658i	0.111854	+	0.319659i	−0.874326	+	0.485339i	$0.838696\pi$
$108$	−8.93762	−	4.30413i	−0.860023	−	0.414165i
$109$	1.97295	−	8.64407i	0.188975	−	0.827952i	−0.788184	−	0.615440i	$-0.788978\pi$
$109$	1.97295	−	8.64407i	0.188975	−	0.827952i	0.977158	−	0.212512i	$-0.0681645\pi$
$110$	0.842449	−	4.06514i	0.0803243	−	0.387596i
$111$	16.9047	−	21.1978i	1.60452	−	2.01201i
$112$	−0.516986	+	0.822779i	−0.0488506	+	0.0777453i
$113$	−0.373712	−	0.0852973i	−0.0351558	−	0.00802409i	0.204907	−	0.978781i	$-0.434311\pi$
$113$	−0.373712	−	0.0852973i	−0.0351558	−	0.00802409i	−0.240063	+	0.970757i	$0.577168\pi$
$114$	0.163626	−	0.0184362i	0.0153250	−	0.00172671i
$115$	−12.2857	−	14.7874i	−1.14565	−	1.37894i
$116$	4.35752	+	3.16418i	0.404585	+	0.293787i
$117$	2.73302	+	2.73302i	0.252667	+	0.252667i
$118$	−0.695111	+	0.871642i	−0.0639901	+	0.0802411i
$119$	−0.714693	−	1.13743i	−0.0655158	−	0.104268i
$120$	−0.897290	−	6.74496i	−0.0819110	−	0.615728i
$121$	−5.90516	−	4.70921i	−0.536832	−	0.428110i
$122$	14.0005	+	1.57748i	1.26755	+	0.142818i
$123$	−0.406898	−	0.647575i	−0.0366888	−	0.0583898i
$124$	−2.97946	−	8.51481i	−0.267563	−	0.764653i
$125$	7.41603	−	8.36675i	0.663310	−	0.748345i
$126$	−5.15054	−	3.23630i	−0.458846	−	0.288312i
$127$	−0.668458	−	1.38807i	−0.0593161	−	0.123171i	0.869204	−	0.494454i	$-0.164632\pi$
$127$	−0.668458	−	1.38807i	−0.0593161	−	0.123171i	−0.928520	+	0.371283i	$0.878918\pi$
$128$		−	1.00000i		−	0.0883883i
$129$	13.7872	−	6.63957i	1.21390	−	0.584581i
$130$	−0.280162	+	1.35189i	−0.0245718	+	0.118569i
$131$	4.69137	+	0.528590i	0.409887	+	0.0461831i	0.314501	−	0.949257i	$-0.398163\pi$
$131$	4.69137	+	0.528590i	0.409887	+	0.0461831i	0.0953860	+	0.995440i	$0.469591\pi$
$132$	5.33266	+	1.86598i	0.464149	+	0.162413i
$133$	0.0525809			0.00455935
$134$	−8.32731	−	2.91385i	−0.719370	−	0.251718i
$135$	21.9881	−	2.92510i	1.89244	−	0.251753i
$136$	1.24552	+	0.599811i	0.106802	+	0.0514333i
$137$	2.33091	−	4.84018i	0.199143	−	0.413525i	−0.777352	−	0.629066i	$-0.783437\pi$
$137$	2.33091	−	4.84018i	0.199143	−	0.413525i	0.976495	+	0.215542i	$0.0691517\pi$
$138$	22.1529	−	13.9196i	1.88578	−	1.18491i
$139$	−8.12426	+	6.47888i	−0.689090	+	0.549531i	−0.904227	−	0.427053i	$-0.859552\pi$
$139$	−8.12426	+	6.47888i	−0.689090	+	0.549531i	0.215136	+	0.976584i	$0.430980\pi$
$140$	−0.0435730	−	2.17239i	−0.00368259	−	0.183601i
$141$	−3.72112	−	16.3033i	−0.313375	−	1.37299i
$142$	−0.776834	+	3.40353i	−0.0651905	+	0.285618i
$143$	−0.896237	−	0.714725i	−0.0749471	−	0.0597683i
$144$	6.25993			0.521661
$145$	−12.0283	−	0.565789i	−0.998896	−	0.0469862i
$146$	−12.6009			−1.04286
$147$	14.4074	+	11.4895i	1.18830	+	0.947640i
$148$	−1.98265	+	8.68654i	−0.162972	+	0.714029i
$149$	2.49126	+	10.9149i	0.204092	+	0.894186i	0.968413	+	0.249351i	$0.0802171\pi$
$149$	2.49126	+	10.9149i	0.204092	+	0.894186i	−0.764321	+	0.644836i	$0.776926\pi$
$150$	9.95581	+	11.5057i	0.812889	+	0.939433i
$151$	13.9284	−	11.1076i	1.13348	−	0.903921i	0.137239	−	0.990538i	$-0.456177\pi$
$151$	13.9284	−	11.1076i	1.13348	−	0.903921i	0.996242	+	0.0866169i	$0.0276056\pi$
$152$	−0.0458173	+	0.0287889i	−0.00371627	+	0.00233509i
$153$	−3.75477	+	7.79687i	−0.303555	+	0.630339i
$154$	1.62545	+	0.782774i	0.130982	+	0.0630777i
$155$	16.0199	+	12.2580i	1.28675	+	0.984589i
$156$	−1.77341	−	0.620544i	−0.141987	−	0.0496833i
$157$	17.2556			1.37714			0.688572	−	0.725168i	$-0.258238\pi$
$157$	17.2556			1.37714			0.688572	+	0.725168i	$0.258238\pi$
$158$	−14.1051	−	4.93558i	−1.12214	−	0.392653i
$159$	19.0113	+	2.14206i	1.50769	+	0.169876i
$160$	1.22739	+	1.86910i	0.0970336	+	0.147765i
$161$	7.52724	−	3.62493i	0.593230	−	0.285684i
$162$			11.4069i			0.896214i
$163$	3.53210	+	7.33447i	0.276655	+	0.574480i	0.992282	−	0.124003i	$-0.0395731\pi$
$163$	3.53210	+	7.33447i	0.276655	+	0.574480i	−0.715627	+	0.698483i	$0.753859\pi$
$164$	0.212807	+	0.133716i	0.0166174	+	0.0104414i
$165$	−12.2575	+	3.05756i	−0.954248	+	0.238031i
$166$	−5.45032	−	15.5761i	−0.423027	−	1.20894i
$167$	−1.09838	−	1.74806i	−0.0849951	−	0.135269i	0.801521	−	0.597967i	$-0.204024\pi$
$167$	−1.09838	−	1.74806i	−0.0849951	−	0.135269i	−0.886516	+	0.462698i	$0.846882\pi$
$168$	2.93836	+	0.331074i	0.226700	+	0.0255429i
$169$	−9.86576	−	7.86768i	−0.758905	−	0.605206i
$170$	−3.06420	+	0.407634i	−0.235013	+	0.0312641i
$171$	−0.180216	−	0.286813i	−0.0137815	−	0.0219331i
$172$	−3.13539	+	3.93166i	−0.239071	+	0.299786i
$173$	7.99171	+	7.99171i	0.607598	+	0.607598i	0.942318	−	0.334719i	$-0.108642\pi$
$173$	7.99171	+	7.99171i	0.607598	+	0.607598i	−0.334719	+	0.942318i	$0.608642\pi$
$174$	2.92182	−	16.1245i	0.221503	−	1.22240i
$175$	2.74782	+	4.00693i	0.207715	+	0.302896i
$176$	−1.84494	+	0.207875i	−0.139068	+	0.0156692i
$177$	3.30751	+	0.754917i	0.248608	+	0.0567431i
$178$	8.14314	−	12.9597i	0.610354	−	0.971373i
$179$	6.06210	−	7.60163i	0.453102	−	0.568173i	−0.501841	−	0.864960i	$-0.667344\pi$
$179$	6.06210	−	7.60163i	0.453102	−	0.568173i	0.954944	+	0.296787i	$0.0959152\pi$
$180$	−11.7004	+	7.68337i	−0.872097	+	0.572684i
$181$	−3.66409	+	16.0534i	−0.272350	+	1.19324i	0.634881	+	0.772610i	$0.281049\pi$
$181$	−3.66409	+	16.0534i	−0.272350	+	1.19324i	−0.907231	+	0.420633i	$0.861808\pi$
$182$	−0.540553	−	0.260317i	−0.0400685	−	0.0192960i
$183$	−14.1602	−	40.4674i	−1.04675	−	2.99144i
$184$	−4.57428	+	7.27993i	−0.337220	+	0.536683i
$185$	−6.95600	−	18.6694i	−0.511416	−	1.37260i
$186$	−19.4109	+	19.4109i	−1.42328	+	1.42328i
$187$	0.847703	−	2.42260i	0.0619902	−	0.177158i
$188$	3.42633	+	4.29648i	0.249891	+	0.313353i
$189$	−1.07928	+	9.57886i	−0.0785060	+	0.696760i
$190$	0.0503017	−	0.110045i	0.00364927	−	0.00798349i
$191$	−9.23061	−	9.23061i	−0.667903	−	0.667903i	0.289327	−	0.957230i	$-0.406569\pi$
$191$	−9.23061	−	9.23061i	−0.667903	−	0.667903i	−0.957230	+	0.289327i	$0.906569\pi$
$192$	−2.74166	+	1.32031i	−0.197862	+	0.0952855i
$193$	2.81097	+	12.3157i	0.202338	+	0.886502i	0.969508	+	0.245058i	$0.0788070\pi$
$193$	2.81097	+	12.3157i	0.202338	+	0.886502i	−0.767170	+	0.641444i	$0.778336\pi$
$194$	0.297716	−	0.618213i	0.0213747	−	0.0443851i
$195$	4.07632	−	1.01681i	0.291912	−	0.0728153i
$196$	−5.90393	−	1.34753i	−0.421709	−	0.0962524i
$197$	2.16792	−	19.2409i	0.154458	−	1.37085i	−0.642252	−	0.766493i	$-0.722000\pi$
$197$	2.16792	−	19.2409i	0.154458	−	1.37085i	0.796711	−	0.604361i	$-0.206572\pi$
$198$	−1.30128	−	11.5492i	−0.0924782	−	0.820766i
$199$	−21.7303	+	4.95980i	−1.54042	+	0.351591i	−0.906635	−	0.421916i	$-0.861358\pi$
$199$	−21.7303	+	4.95980i	−1.54042	+	0.351591i	−0.633787	+	0.773508i	$0.718500\pi$
$200$	−4.58821	−	1.98703i	−0.324436	−	0.140505i
$201$	3.00587	+	26.6778i	0.212018	+	1.88171i
$202$	−10.1585	+	10.1585i	−0.714753	+	0.714753i
$203$	1.50366	−	5.01218i	0.105536	−	0.351786i
$204$		−	4.20673i		−	0.294530i
$205$	−0.561877	+	0.0112699i	−0.0392432	+	0.000787125i
$206$	−2.50386	+	1.57328i	−0.174452	+	0.109616i
$207$	−45.5718	−	28.6347i	−3.16746	−	1.99025i
$208$	0.613547	−	0.0691302i	0.0425419	−	0.00479332i
$209$	0.0626381	+	0.0785457i	0.00433277	+	0.00543312i
$210$	−5.89844	+	2.98771i	−0.407031	+	0.206171i
$211$	−10.3905	+	3.63579i	−0.715310	+	0.250298i	−0.663305	−	0.748349i	$-0.730847\pi$
$211$	−10.3905	+	3.63579i	−0.715310	+	0.250298i	−0.0520049	+	0.998647i	$0.516561\pi$
$212$	−5.93424	+	2.07648i	−0.407565	+	0.142613i
$213$	10.3570	−	2.36392i	0.709650	−	0.161973i
$214$	−1.15702	+	3.30658i	−0.0790925	+	0.226033i
$215$	1.03467	−	11.1970i	0.0705642	−	0.763628i
$216$	−4.30413	−	8.93762i	−0.292859	−	0.608128i
$217$	−6.85348	+	5.46547i	−0.465244	+	0.371020i
$218$	6.93201	−	5.52809i	0.469495	−	0.374410i
$219$	16.6371	+	34.5474i	1.12423	+	2.33450i
$220$	3.19323	−	2.65300i	0.215287	−	0.178865i
$221$	−0.281909	+	0.805651i	−0.0189633	+	0.0541939i
$222$	26.4332	−	6.03322i	1.77408	−	0.404923i
$223$	5.60645	−	1.96178i	0.375436	−	0.131371i	−0.135964	−	0.990714i	$-0.543413\pi$
$223$	5.60645	−	1.96178i	0.375436	−	0.131371i	0.511399	+	0.859343i	$0.329127\pi$
$224$	−0.917190	+	0.320939i	−0.0612824	+	0.0214436i
$225$	12.4387	−	28.7219i	0.829246	−	1.91479i
$226$	−0.238998	−	0.299694i	−0.0158979	−	0.0199353i
$227$	9.72918	−	1.09622i	0.645748	−	0.0727584i	0.216985	−	0.976175i	$-0.430378\pi$
$227$	9.72918	−	1.09622i	0.645748	−	0.0727584i	0.428764	+	0.903417i	$0.358949\pi$
$228$	0.139423	+	0.0876050i	0.00923348	+	0.00580178i
$229$	−16.5686	+	10.4107i	−1.09488	+	0.687962i	−0.953318	−	0.301967i	$-0.902357\pi$
$229$	−16.5686	+	10.4107i	−1.09488	+	0.687962i	−0.141566	+	0.989929i	$0.545214\pi$
$230$	−0.385533	−	19.2213i	−0.0254213	−	1.26741i
$231$		−	5.48993i		−	0.361211i
$232$	1.43401	+	5.19072i	0.0941473	+	0.340788i
$233$	−11.9863	+	11.9863i	−0.785250	+	0.785250i	−0.980711	−	0.195461i	$-0.937380\pi$
$233$	−11.9863	+	11.9863i	−0.785250	+	0.785250i	0.195461	+	0.980711i	$0.437380\pi$
$234$	0.432750	+	3.84076i	0.0282898	+	0.251079i
$235$	−11.6776	−	3.82509i	−0.761761	−	0.249521i
$236$	−1.08692	+	0.248082i	−0.0707524	+	0.0161488i
$237$	5.09144	+	45.1878i	0.330725	+	2.93526i
$238$	0.150405	−	1.33488i	0.00974931	−	0.0865275i
$239$	−11.4606	−	2.61582i	−0.741327	−	0.169203i	−0.164853	−	0.986318i	$-0.552715\pi$
$239$	−11.4606	−	2.61582i	−0.741327	−	0.169203i	−0.576475	+	0.817115i	$0.695572\pi$
$240$	3.50389	−	5.83288i	0.226175	−	0.376511i
$241$	6.11078	−	12.6892i	0.393630	−	0.817381i	−0.606128	−	0.795367i	$-0.707278\pi$
$241$	6.11078	−	12.6892i	0.393630	−	0.817381i	0.999758	−	0.0220135i	$-0.00700767\pi$
$242$	−1.68070	−	7.36361i	−0.108039	−	0.473351i
$243$	4.46108	−	2.14834i	0.286179	−	0.137816i
$244$	9.96250	+	9.96250i	0.637784	+	0.637784i
$245$	12.6890	−	4.72775i	0.810668	−	0.302045i
$246$	0.0856304	−	0.759991i	0.00545960	−	0.0484553i
$247$	−0.0208307	−	0.0261209i	−0.00132543	−	0.00166203i
$248$	2.97946	−	8.51481i	0.189196	−	0.540691i
$249$	−35.5083	+	35.5083i	−2.25025	+	2.25025i
$250$	11.0147	−	1.91757i	0.696629	−	0.121277i
$251$	−14.2668	+	22.7055i	−0.900511	+	1.43316i	0.000807865		1.00000i	$0.499743\pi$
$251$	−14.2668	+	22.7055i	−0.900511	+	1.43316i	−0.901319	+	0.433156i	$0.857400\pi$
$252$	−2.00905	−	5.74155i	−0.126559	−	0.361683i
$253$	14.3819	+	6.92596i	0.904183	+	0.435432i
$254$	0.342825	−	1.50201i	0.0215107	−	0.0942446i
$255$	5.16329	+	7.86278i	0.323338	+	0.492386i
$256$	0.623490	−	0.781831i	0.0389681	−	0.0488645i
$257$	4.14863	−	6.60251i	0.258785	−	0.411853i	−0.691909	−	0.721985i	$-0.743230\pi$
$257$	4.14863	−	6.60251i	0.258785	−	0.411853i	0.950694	+	0.310131i	$0.100373\pi$
$258$	14.9190	+	3.40516i	0.928814	+	0.211996i
$259$	8.60351	−	0.969383i	0.534596	−	0.0602345i
$260$	−1.06193	+	0.882272i	−0.0658580	+	0.0547162i
$261$	−32.4936	+	8.97680i	−2.01130	+	0.555650i
$262$	3.33829	+	3.33829i	0.206240	+	0.206240i
$263$	0.599744	−	0.752056i	0.0369818	−	0.0463737i	−0.762997	−	0.646402i	$-0.776273\pi$
$263$	0.599744	−	0.752056i	0.0369818	−	0.0463737i	0.799978	+	0.600029i	$0.204844\pi$
$264$	3.00582	+	4.78374i	0.184996	+	0.294419i
$265$	8.54301	−	11.1648i	0.524793	−	0.685845i
$266$	0.0411094	+	0.0327837i	0.00252058	+	0.00201010i
$267$	−46.2827	−	5.21481i	−2.83245	−	0.319141i
$268$	−4.69379	−	7.47013i	−0.286719	−	0.456311i
$269$	−1.89186	−	5.40664i	−0.115349	−	0.329648i	0.871706	−	0.490029i	$-0.163014\pi$
$269$	−1.89186	−	5.40664i	−0.115349	−	0.329648i	−0.987055	+	0.160380i	$0.948728\pi$
$270$	19.0148	+	11.4224i	1.15720	+	0.695147i
$271$	6.95843	+	4.37227i	0.422694	+	0.265596i	0.726539	−	0.687125i	$-0.241128\pi$
$271$	6.95843	+	4.37227i	0.422694	+	0.265596i	−0.303845	+	0.952722i	$0.598270\pi$
$272$	0.599811	+	1.24552i	0.0363689	+	0.0755207i
$273$			1.82571i			0.110497i
$274$	4.84018	−	2.33091i	0.292406	−	0.140815i
$275$	−2.71219	+	8.87804i	−0.163551	+	0.535366i
$276$	25.9986	+	2.92934i	1.56493	+	0.176325i
$277$	13.8416	+	4.84339i	0.831663	+	0.291011i	0.712331	−	0.701843i	$-0.247639\pi$
$277$	13.8416	+	4.84339i	0.831663	+	0.291011i	0.119331	+	0.992855i	$0.461925\pi$
$278$	−10.3913			−0.623230
$279$	53.3021	+	18.6512i	3.19111	+	1.11662i
$280$	1.32040	−	1.72561i	0.0789090	−	0.103125i
$281$	1.59367	+	0.767469i	0.0950701	+	0.0457834i	0.480815	−	0.876822i	$-0.340341\pi$
$281$	1.59367	+	0.767469i	0.0950701	+	0.0457834i	−0.385744	+	0.922606i	$0.626055\pi$
$282$	7.25566	−	15.0665i	0.432068	−	0.897198i
$283$	−14.2164	+	8.93274i	−0.845076	+	0.530996i	−0.883590	−	0.468262i	$-0.844880\pi$
$283$	−14.2164	+	8.93274i	−0.845076	+	0.530996i	0.0385140	+	0.999258i	$0.487738\pi$
$284$	−2.72942	+	2.17664i	−0.161961	+	0.129160i
$285$	−0.368119	+	0.00738359i	−0.0218055	+	0.000437366i
$286$	−0.255082	−	1.11759i	−0.0150833	−	0.0660844i
$287$	0.0543445	−	0.238099i	0.00320786	−	0.0140545i
$288$	4.89421	+	3.90300i	0.288394	+	0.229987i
$289$	15.0889			0.887583
$290$	−9.05134	−	7.94187i	−0.531513	−	0.466363i
$291$	−2.08801			−0.122401
$292$	−9.85178	−	7.85653i	−0.576532	−	0.459769i
$293$	5.76091	−	25.2402i	0.336556	−	1.47455i	−0.469618	−	0.882870i	$-0.655608\pi$
$293$	5.76091	−	25.2402i	0.336556	−	1.47455i	0.806174	−	0.591679i	$-0.201535\pi$
$294$	4.10056	+	17.9657i	0.239150	+	1.04778i
$295$	1.72706	−	1.79776i	0.100553	−	0.104670i
$296$	−6.96606	+	5.55525i	−0.404894	+	0.322892i
$297$	−15.5947	+	9.79878i	−0.904894	+	0.568583i
$298$	−4.85760	+	10.0869i	−0.281393	+	0.584319i
$299$	−4.78280	−	2.30328i	−0.276596	−	0.133202i
$300$	0.610110	+	15.2028i	0.0352247	+	0.877736i
$301$	4.61235	+	1.61393i	0.265851	+	0.0930254i
$302$	17.8152			1.02515
$303$	41.2638	+	14.4388i	2.37054	+	0.829488i
$304$	−0.0537710	−	0.00605853i	−0.00308398	−	0.000347481i
$305$	−30.8487	−	6.39300i	−1.76639	−	0.366062i
$306$	−7.79687	+	3.75477i	−0.445717	+	0.214646i
$307$			28.2214i			1.61068i	0.592812	+	0.805341i	$0.298018\pi$
$307$			28.2214i			1.61068i	−0.592812	+	0.805341i	$0.701982\pi$
$308$	0.782774	+	1.62545i	0.0446027	+	0.0926184i
$309$	7.61929	+	4.78752i	0.433446	+	0.272352i
$310$	4.88209	+	19.5719i	0.277284	+	1.11161i
$311$	4.34343	+	12.4128i	0.246293	+	0.703866i	0.998966	+	0.0454706i	$0.0144787\pi$
$311$	4.34343	+	12.4128i	0.246293	+	0.703866i	−0.752672	+	0.658395i	$0.771236\pi$
$312$	−0.999607	−	1.59087i	−0.0565916	−	0.0900650i
$313$	5.71879	+	0.644353i	0.323245	+	0.0364210i	0.272096	−	0.962270i	$-0.412283\pi$
$313$	5.71879	+	0.644353i	0.323245	+	0.0364210i	0.0511489	+	0.998691i	$0.483712\pi$
$314$	13.4909	+	10.7587i	0.761338	+	0.607147i
$315$	10.8022	+	8.26561i	0.608636	+	0.465714i
$316$	−7.95050	−	12.6532i	−0.447251	−	0.711796i
$317$	14.9148	−	18.7026i	0.837700	−	1.05044i	−0.160290	−	0.987070i	$-0.551243\pi$
$317$	14.9148	−	18.7026i	0.837700	−	1.05044i	0.997990	−	0.0633725i	$-0.0201856\pi$
$318$	13.5281	+	13.5281i	0.758616	+	0.758616i
$319$	9.27849	−	3.72468i	0.519496	−	0.208542i
$320$	−0.205751	+	2.22658i	−0.0115018	+	0.124470i
$321$	10.5932	−	1.19356i	0.591252	−	0.0666181i
$322$	8.14514	+	1.85908i	0.453911	+	0.103602i
$323$	0.0397984	−	0.0633388i	0.00221444	−	0.00352427i
$324$	−7.11211	+	8.91830i	−0.395117	+	0.495461i
$325$	0.901956	−	2.95245i	0.0500315	−	0.163772i
$326$	−1.81147	+	7.93655i	−0.100328	+	0.439565i
$327$	−24.3086	−	11.7064i	−1.34427	−	0.647365i
$328$	0.0830090	+	0.237226i	0.00458340	+	0.0130986i
$329$	2.84105	−	4.52150i	0.156632	−	0.249278i
$330$	−11.4897	−	5.25196i	−0.632486	−	0.289111i
$331$	−5.08814	+	5.08814i	−0.279669	+	0.279669i	−0.832977	−	0.553308i	$-0.813365\pi$
$331$	−5.08814	+	5.08814i	−0.279669	+	0.279669i	0.553308	+	0.832977i	$0.313365\pi$
$332$	5.45032	−	15.5761i	0.299125	−	0.854851i
$333$	−34.7755	−	43.6071i	−1.90568	−	2.38965i
$334$	0.231150	−	2.05152i	0.0126480	−	0.112254i
$335$	17.9419	+	8.20127i	0.980271	+	0.448083i
$336$	2.09088	+	2.09088i	0.114067	+	0.114067i
$337$	−3.59397	+	1.73077i	−0.195776	+	0.0942809i	−0.529203	−	0.848495i	$-0.677509\pi$
$337$	−3.59397	+	1.73077i	−0.195776	+	0.0942809i	0.333427	+	0.942776i	$0.391795\pi$
$338$	−2.80794	−	12.3024i	−0.152732	−	0.669162i
$339$	−0.506106	+	1.05094i	−0.0274879	+	0.0570792i
$340$	−2.64984	−	1.59179i	−0.143708	−	0.0863272i
$341$	−16.3287	−	3.72692i	−0.884248	−	0.201824i
$342$	0.0379260	−	0.336602i	0.00205080	−	0.0182014i
$343$	1.42044	+	12.6068i	0.0766967	+	0.680702i
$344$	−4.90270	+	1.11901i	−0.264336	+	0.0603329i
$345$	−52.1892	+	26.4351i	−2.80977	+	1.42322i
$346$	1.26542	+	11.2309i	0.0680294	+	0.603778i
$347$	−5.50371	+	5.50371i	−0.295455	+	0.295455i	−0.839231	−	0.543776i	$-0.816994\pi$
$347$	−5.50371	+	5.50371i	−0.295455	+	0.295455i	0.543776	+	0.839231i	$0.316994\pi$
$348$	12.3379	−	10.7850i	0.661379	−	0.578134i
$349$		−	31.0011i		−	1.65945i	−0.558173	−	0.829725i	$-0.688497\pi$
$349$		−	31.0011i		−	1.65945i	0.558173	−	0.829725i	$-0.311503\pi$
$350$	−0.349953	+	4.84598i	−0.0187058	+	0.259029i
$351$	5.18611	−	3.25865i	0.276814	−	0.173934i
$352$	−1.57204	−	0.987779i	−0.0837901	−	0.0526488i
$353$	−3.81342	+	0.429669i	−0.202968	+	0.0228690i	−0.212863	−	0.977082i	$-0.568279\pi$
$353$	−3.81342	+	0.429669i	−0.202968	+	0.0228690i	0.00989512	+	0.999951i	$0.496850\pi$
$354$	2.11523	+	2.65242i	0.112423	+	0.140974i
$355$	2.42996	−	7.41841i	0.128969	−	0.393728i
$356$	14.4468	−	5.05516i	0.765680	−	0.267923i
$357$	−3.85837	+	1.35010i	−0.204207	+	0.0714550i
$358$	9.47908	−	2.16354i	0.500985	−	0.114347i
$359$	−6.83087	+	19.5215i	−0.360520	+	1.03031i	0.610647	+	0.791903i	$0.290910\pi$
$359$	−6.83087	+	19.5215i	−0.360520	+	1.03031i	−0.971166	+	0.238403i	$0.923376\pi$
$360$	−13.9382	−	1.28798i	−0.734610	−	0.0678828i
$361$	−8.24252	−	17.1158i	−0.433817	−	0.900830i
$362$	−12.8739	+	10.2666i	−0.676635	+	0.539598i
$363$	−17.9695	+	14.3302i	−0.943153	+	0.752139i
$364$	−0.260317	−	0.540553i	−0.0136443	−	0.0283327i
$365$	28.0569	+	2.59264i	1.46857	+	0.135705i
$366$	14.1602	−	40.4674i	0.740164	−	2.11527i
$367$	−17.5736	+	4.01105i	−0.917332	+	0.209375i	−0.655023	−	0.755609i	$-0.727341\pi$
$367$	−17.5736	+	4.01105i	−0.917332	+	0.209375i	−0.262309	+	0.964984i	$0.584484\pi$
$368$	−8.11528	+	2.83966i	−0.423038	+	0.148027i
$369$	−1.48502	+	0.519630i	−0.0773070	+	0.0270509i
$370$	6.20178	−	18.9334i	0.322415	−	0.984298i
$371$	3.80905	+	4.77640i	0.197756	+	0.247978i
$372$	−27.2785	+	3.07355i	−1.41433	+	0.159356i
$373$	24.5995	+	15.4569i	1.27371	+	0.800327i	0.987466	−	0.157830i	$-0.0504497\pi$
$373$	24.5995	+	15.4569i	1.27371	+	0.800327i	0.286246	+	0.958156i	$0.407593\pi$
$374$	2.17323	−	1.36553i	0.112375	−	0.0706098i
$375$	−19.8001	−	27.6667i	−1.02247	−	1.42870i
$376$			5.49540i			0.283404i
$377$	−3.08562	+	1.23867i	−0.158918	+	0.0637947i
$378$	−6.81614	+	6.81614i	−0.350584	+	0.350584i
$379$	−1.17301	−	10.4108i	−0.0602537	−	0.534767i	−0.987190	−	0.159548i	$-0.948996\pi$
$379$	−1.17301	−	10.4108i	−0.0602537	−	0.534767i	0.926936	−	0.375218i	$-0.122432\pi$
$380$	0.107939	−	0.0546739i	0.00553717	−	0.00280471i
$381$	−4.57064	+	1.04322i	−0.234161	+	0.0534458i
$382$	−1.46159	−	12.9720i	−0.0747815	−	0.663704i
$383$	0.763976	−	6.78047i	0.0390373	−	0.346466i	−0.958977	−	0.283483i	$-0.908510\pi$
$383$	0.763976	−	6.78047i	0.0390373	−	0.346466i	0.998015	−	0.0629830i	$-0.0200614\pi$
$384$	−2.96672	−	0.677134i	−0.151395	−	0.0345549i
$385$	−3.45813	−	2.07735i	−0.176243	−	0.105871i
$386$	−5.48099	+	11.3814i	−0.278975	+	0.579298i
$387$	−7.00491	−	30.6905i	−0.356080	−	1.56009i
$388$	0.618213	−	0.297716i	0.0313850	−	0.0151142i
$389$	−9.44179	−	9.44179i	−0.478718	−	0.478718i	0.426004	−	0.904721i	$-0.359921\pi$
$389$	−9.44179	−	9.44179i	−0.478718	−	0.478718i	−0.904721	+	0.426004i	$0.859921\pi$
$390$	3.82097	+	1.74657i	0.193482	+	0.0884411i
$391$	1.33078	−	11.8110i	0.0673004	−	0.597308i
$392$	−3.77570	−	4.73458i	−0.190702	−	0.239133i
$393$	4.74486	−	13.5600i	0.239347	−	0.684014i
$394$	13.6914	−	13.6914i	0.689764	−	0.689764i
$395$	30.3906	+	13.8916i	1.52912	+	0.698962i
$396$	6.18343	−	9.84087i	0.310729	−	0.494522i
$397$	−6.54021	−	18.6908i	−0.328244	−	0.938067i	−0.983221	−	0.182418i	$-0.941608\pi$
$397$	−6.54021	−	18.6908i	−0.328244	−	0.938067i	0.654977	−	0.755648i	$-0.272678\pi$
$398$	−20.0818	−	9.67090i	−1.00661	−	0.484759i
$399$	0.0356043	−	0.155993i	0.00178245	−	0.00780941i
$400$	−2.34831	−	4.41423i	−0.117416	−	0.220711i
$401$	−3.44493	+	4.31981i	−0.172032	+	0.215721i	−0.860371	−	0.509667i	$-0.829768\pi$
$401$	−3.44493	+	4.31981i	−0.172032	+	0.215721i	0.688340	+	0.725388i	$0.258340\pi$
$402$	−14.2833	+	22.7317i	−0.712385	+	1.13375i
$403$	5.43021	+	1.23941i	0.270498	+	0.0617394i
$404$	−14.2760	+	1.60852i	−0.710259	+	0.0800269i
$405$	2.34699	−	25.3985i	0.116623	−	1.26206i
$406$	4.30065	−	2.98116i	0.213438	−	0.147953i
$407$	11.6972	+	11.6972i	0.579808	+	0.579808i
$408$	2.62285	−	3.28895i	0.129851	−	0.162828i
$409$	5.87006	+	9.34215i	0.290256	+	0.461940i	0.959741	−	0.280886i	$-0.0906281\pi$
$409$	5.87006	+	9.34215i	0.290256	+	0.461940i	−0.669485	+	0.742825i	$0.733485\pi$
$410$	−0.446320	−	0.341514i	−0.0220422	−	0.0168662i
$411$	−12.7811	−	10.1926i	−0.630446	−	0.502764i
$412$	−2.93853	−	0.331092i	−0.144771	−	0.0163117i
$413$	0.576373	+	0.917292i	0.0283615	+	0.0451370i
$414$	−17.7761	−	50.8011i	−0.873646	−	2.49674i
$415$	8.93079	+	35.8029i	0.438395	+	1.75750i
$416$	0.522793	+	0.328492i	0.0256320	+	0.0161057i
$417$	13.7198	+	28.4894i	0.671861	+	1.39513i
$418$			0.100464i			0.00491384i
$419$	2.74453	−	1.32169i	0.134079	−	0.0645690i	−0.365641	−	0.930756i	$-0.619150\pi$
$419$	2.74453	−	1.32169i	0.134079	−	0.0645690i	0.499720	+	0.866187i	$0.333436\pi$
$420$	−6.47439	−	1.34173i	−0.315918	−	0.0654699i
$421$	11.9710	+	1.34881i	0.583432	+	0.0657370i	0.398747	−	0.917061i	$-0.369445\pi$
$421$	11.9710	+	1.34881i	0.583432	+	0.0657370i	0.184685	+	0.982798i	$0.440874\pi$
$422$	−10.3905	−	3.63579i	−0.505801	−	0.176987i
$423$	−34.4008			−1.67263
$424$	−5.93424	−	2.07648i	−0.288192	−	0.100843i
$425$	6.90655	−	0.277169i	0.335017	−	0.0134447i
$426$	9.57130	+	4.60930i	0.463731	+	0.223321i
$427$	5.94016	−	12.3349i	0.287464	−	0.596926i
$428$	−2.96622	+	1.86380i	−0.143377	+	0.0900900i
$429$	−2.72726	+	2.17492i	−0.131673	+	0.105006i
$430$	7.79015	−	8.10905i	0.375674	−	0.391053i
$431$	8.02563	+	35.1626i	0.386581	+	1.69372i	0.676313	+	0.736615i	$0.263577\pi$
$431$	8.02563	+	35.1626i	0.386581	+	1.69372i	−0.289732	+	0.957108i	$0.593566\pi$
$432$	2.20741	−	9.67130i	0.106204	−	0.465310i
$433$	7.32054	+	5.83794i	0.351803	+	0.280553i	0.783406	−	0.621510i	$-0.213481\pi$
$433$	7.32054	+	5.83794i	0.351803	+	0.280553i	−0.431603	+	0.902064i	$0.642052\pi$
$434$	−8.76593			−0.420778
$435$	−9.82331	+	35.3015i	−0.470992	+	1.69258i
$436$	8.86637			0.424622
$437$	0.363735	+	0.290069i	0.0173998	+	0.0138759i
$438$	−8.53250	+	37.3833i	−0.407698	+	1.78624i
$439$	1.93069	+	8.45889i	0.0921466	+	0.403721i	0.999875	−	0.0158386i	$-0.00504179\pi$
$439$	1.93069	+	8.45889i	0.0921466	+	0.403721i	−0.907728	+	0.419559i	$0.862185\pi$
$440$	4.15068	−	0.0832527i	0.197876	−	0.00396892i
$441$	29.6382	−	23.6356i	1.41134	−	1.12551i
$442$	−0.722721	+	0.454115i	−0.0343763	+	0.0216001i
$443$	12.6915	−	26.3542i	0.602992	−	1.25213i	−0.346416	−	0.938081i	$-0.612602\pi$
$443$	12.6915	−	26.3542i	0.602992	−	1.25213i	0.949408	−	0.314045i	$-0.101684\pi$
$444$	24.4280	+	11.7639i	1.15930	+	0.558290i
$445$	−20.7978	+	27.1804i	−0.985912	+	1.28848i
$446$	5.60645	+	1.96178i	0.265473	+	0.0928931i
$447$	34.0685			1.61138
$448$	−0.917190	−	0.320939i	−0.0433332	−	0.0151629i
$449$	−5.97984	−	0.673766i	−0.282206	−	0.0317970i	−0.0302731	−	0.999542i	$-0.509638\pi$
$449$	−5.97984	−	0.673766i	−0.282206	−	0.0317970i	−0.251933	+	0.967745i	$0.581066\pi$
$450$	27.6328	−	14.7003i	1.30262	−	0.692978i
$451$	0.420413	−	0.202460i	0.0197965	−	0.00953347i
$452$		−	0.383322i		−	0.0180300i
$453$	−23.5216	−	48.8431i	−1.10514	−	2.29485i
$454$	8.29006	+	5.20899i	0.389072	+	0.244470i
$455$	1.15003	+	0.690836i	0.0539140	+	0.0323869i
$456$	0.0543841	+	0.155421i	0.00254677	+	0.00727825i
$457$	−6.38368	−	10.1596i	−0.298616	−	0.475245i	0.663390	−	0.748274i	$-0.269117\pi$
$457$	−6.38368	−	10.1596i	−0.298616	−	0.475245i	−0.962006	+	0.273029i	$0.911974\pi$
$458$	−19.4449	−	2.19091i	−0.908599	−	0.102374i
$459$	10.7218	+	8.55032i	0.500449	+	0.399095i
$460$	11.6829	−	15.2682i	0.544716	−	0.711883i
$461$	6.71676	+	10.6897i	0.312831	+	0.497867i	0.965720	−	0.259586i	$-0.0835861\pi$
$461$	6.71676	+	10.6897i	0.312831	+	0.497867i	−0.652889	+	0.757453i	$0.726443\pi$
$462$	3.42292	−	4.29220i	0.159248	−	0.199691i
$463$	1.73726	+	1.73726i	0.0807372	+	0.0807372i	0.746322	−	0.665585i	$-0.231818\pi$
$463$	1.73726	+	1.73726i	0.0807372	+	0.0807372i	−0.665585	+	0.746322i	$0.731818\pi$
$464$	−2.11521	+	4.95236i	−0.0981962	+	0.229908i
$465$	47.2137	−	39.2261i	2.18949	−	1.81907i
$466$	−16.8446	+	1.89794i	−0.780313	+	0.0879201i
$467$	21.4988	+	4.90696i	0.994846	+	0.227067i	0.688801	−	0.724950i	$-0.258137\pi$
$467$	21.4988	+	4.90696i	0.994846	+	0.227067i	0.306045	+	0.952017i	$0.400994\pi$
$468$	−2.05634	+	3.27265i	−0.0950543	+	0.151278i
$469$	−5.34511	+	6.70256i	−0.246814	+	0.309495i
$470$	−6.74499	−	10.2714i	−0.311123	−	0.473786i
$471$	11.6843	−	51.1924i	0.538386	−	2.35882i
$472$	−1.00446	−	0.483725i	−0.0462342	−	0.0222652i
$473$	3.08365	+	8.81257i	0.141786	+	0.405203i
$474$	−24.1935	+	38.5037i	−1.11124	+	1.76853i
$475$	−0.134643	+	0.234674i	−0.00617782	+	0.0107676i
$476$	0.949876	−	0.949876i	0.0435375	−	0.0435375i
$477$	12.9986	−	37.1479i	0.595166	−	1.70089i
$478$	−7.32936	−	9.19072i	−0.335237	−	0.420374i
$479$	−1.24333	+	11.0349i	−0.0568094	+	0.504198i	0.932798	+	0.360400i	$0.117360\pi$
$479$	−1.24333	+	11.0349i	−0.0568094	+	0.504198i	−0.989607	+	0.143797i	$0.954069\pi$
$480$	6.37619	−	2.37569i	0.291032	−	0.108435i
$481$	−3.88997	−	3.88997i	−0.177368	−	0.177368i
$482$	12.6892	−	6.11078i	0.577975	−	0.278338i
$483$	−5.65719	−	24.7858i	−0.257411	−	1.12779i
$484$	3.27711	−	6.80500i	0.148960	−	0.309318i
$485$	−0.790086	+	1.31525i	−0.0358760	+	0.0597223i
$486$	4.82729	+	1.10180i	0.218970	+	0.0499785i
$487$	3.73821	−	33.1775i	0.169394	−	1.50342i	−0.565225	−	0.824937i	$-0.691211\pi$
$487$	3.73821	−	33.1775i	0.169394	−	1.50342i	0.734619	−	0.678479i	$-0.237361\pi$
$488$	1.57748	+	14.0005i	0.0714091	+	0.633774i
$489$	24.1510	−	5.51231i	1.09215	−	0.249275i
$490$	12.8683	+	4.21513i	0.581332	+	0.190420i
$491$	2.27930	+	20.2293i	0.102863	+	0.912938i	0.934098	+	0.357016i	$0.116206\pi$
$491$	2.27930	+	20.2293i	0.102863	+	0.912938i	−0.831235	+	0.555921i	$0.812366\pi$
$492$	0.540795	−	0.540795i	0.0243809	−	0.0243809i
$493$	−4.89954	−	5.60502i	−0.220664	−	0.252437i
$494$		−	0.0334099i		−	0.00150318i
$495$	0.521156	+	25.9830i	0.0234242	+	1.16785i
$496$	7.63833	−	4.79948i	0.342971	−	0.215503i
$497$	2.87237	+	1.80483i	0.128843	+	0.0809577i
$498$	−49.9006	+	5.62244i	−2.23610	+	0.251948i
$499$	−19.3698	−	24.2890i	−0.867112	−	1.08732i	−0.995421	−	0.0955894i	$-0.969526\pi$
$499$	−19.3698	−	24.2890i	−0.867112	−	1.08732i	0.128309	−	0.991734i	$-0.459045\pi$
$500$	9.80720	+	5.36832i	0.438591	+	0.240079i
$501$	−5.92975	+	2.07491i	−0.264922	+	0.0927001i
$502$	−25.3108	+	8.85664i	−1.12968	+	0.395291i
$503$	−17.7977	+	4.06222i	−0.793562	+	0.181125i	−0.600039	−	0.799971i	$-0.704848\pi$
$503$	−17.7977	+	4.06222i	−0.793562	+	0.181125i	−0.193523	+	0.981096i	$0.561991\pi$
$504$	2.00905	−	5.74155i	0.0894904	−	0.255749i
$505$	24.7090	−	20.5287i	1.09953	−	0.913516i
$506$	6.92596	+	14.3819i	0.307897	+	0.639354i
$507$	−30.0216	+	23.9415i	−1.33331	+	1.06328i
$508$	1.20452	−	0.960573i	0.0534420	−	0.0426185i
$509$	−8.41690	−	17.4779i	−0.373073	−	0.774693i	0.626918	−	0.779085i	$-0.284316\pi$
$509$	−8.41690	−	17.4779i	−0.373073	−	0.774693i	−0.999990	+	0.00439214i	$0.998602\pi$
$510$	−0.865538	+	9.36663i	−0.0383267	+	0.414761i
$511$	−4.04412	+	11.5574i	−0.178901	+	0.511270i
$512$	0.974928	−	0.222521i	0.0430861	−	0.00983413i
$513$	−0.506661	+	0.177288i	−0.0223696	+	0.00782748i
$514$	7.36013	−	2.57542i	0.324641	−	0.113597i
$515$	5.89876	−	2.98787i	0.259931	−	0.131661i
$516$	9.54104	+	11.9641i	0.420021	+	0.526689i
$517$	10.1387	−	1.14236i	0.445899	−	0.0502408i
$518$	7.33090	+	4.60631i	0.322101	+	0.202390i
$519$	29.1206	−	18.2977i	1.27825	−	0.803180i
$520$	−1.38034	+	0.0276862i	−0.0605318	+	0.00121412i
$521$		−	18.4130i		−	0.806689i	−0.915048	−	0.403345i	$-0.867848\pi$
$521$		−	18.4130i		−	0.806689i	0.915048	−	0.403345i	$-0.132152\pi$
$522$	−31.0014	−	13.2411i	−1.35690	−	0.579546i
$523$	12.2504	−	12.2504i	0.535672	−	0.535672i	−0.386582	−	0.922255i	$-0.626345\pi$
$523$	12.2504	−	12.2504i	0.535672	−	0.535672i	0.922255	+	0.386582i	$0.126345\pi$
$524$	0.528590	+	4.69137i	0.0230916	+	0.204943i
$525$	13.7481	−	5.43876i	0.600015	−	0.237367i
$526$	0.937798	−	0.214046i	0.0408899	−	0.00933286i
$527$	1.39630	+	12.3925i	0.0608237	+	0.539825i
$528$	−0.632566	+	5.61418i	−0.0275289	+	0.244326i
$529$	49.6446	+	11.3311i	2.15846	+	0.492655i
$530$	13.6403	−	3.40248i	0.592497	−	0.147794i
$531$	3.02808	−	6.28788i	0.131408	−	0.272871i
$532$	0.0117004	+	0.0512626i	0.000507275	+	0.00222252i
$533$	−0.139811	+	0.0673294i	−0.00605589	+	0.00291636i
$534$	−32.9339	−	32.9339i	−1.42519	−	1.42519i
$535$	3.25654	−	7.12432i	0.140792	−	0.308011i
$536$	0.987794	−	8.76692i	0.0426662	−	0.378673i
$537$	−18.4470	−	23.1319i	−0.796049	−	0.998214i
$538$	1.89186	−	5.40664i	0.0815640	−	0.233097i
$539$	−7.95016	+	7.95016i	−0.342437	+	0.342437i
$540$	7.74458	+	20.7859i	0.333274	+	0.894484i
$541$	−15.8790	+	25.2714i	−0.682693	+	1.08650i	0.308131	+	0.951344i	$0.400297\pi$
$541$	−15.8790	+	25.2714i	−0.682693	+	1.08650i	−0.990824	+	0.135156i	$0.956846\pi$
$542$	2.71425	+	7.75689i	0.116587	+	0.333187i
$543$	45.1449	+	21.7407i	1.93735	+	0.932981i
$544$	−0.307618	+	1.34776i	−0.0131890	+	0.0577848i
$545$	−16.5721	+	10.8825i	−0.709870	+	0.466154i
$546$	−1.13831	+	1.42740i	−0.0487153	+	0.0610871i
$547$	−4.65315	+	7.40545i	−0.198954	+	0.316634i	−0.931269	−	0.364332i	$-0.881297\pi$
$547$	−4.65315	+	7.40545i	−0.198954	+	0.316634i	0.732315	+	0.680966i	$0.238440\pi$
$548$	5.23750	+	1.19543i	0.223735	+	0.0510661i
$549$	−87.6423	+	9.87491i	−3.74048	+	0.421451i
$550$	−7.65584	+	5.25011i	−0.326446	+	0.223865i
$551$	0.287798	−	0.0456599i	0.0122606	−	0.00194518i
$552$	18.5001	+	18.5001i	0.787416	+	0.787416i
$553$	−9.05373	+	11.3530i	−0.385004	+	0.482779i
$554$	7.80201	+	12.4168i	0.331476	+	0.527541i
$555$	−60.0971	+	7.99479i	−2.55098	+	0.339360i
$556$	−8.12426	−	6.47888i	−0.344545	−	0.274766i
$557$	−6.91166	−	0.778757i	−0.292856	−	0.0329970i	−0.0356860	−	0.999363i	$-0.511362\pi$
$557$	−6.91166	−	0.778757i	−0.292856	−	0.0329970i	−0.257170	+	0.966366i	$0.582790\pi$
$558$	30.0444	+	47.8154i	1.27188	+	2.02419i
$559$	−1.02549	−	2.93068i	−0.0433736	−	0.123955i
$560$	2.10823	−	0.525884i	0.0890891	−	0.0222227i
$561$	−6.61315	−	4.15532i	−0.279208	−	0.175438i
$562$	0.767469	+	1.59367i	0.0323737	+	0.0672247i
$563$		−	1.71034i		−	0.0720821i	−0.999350	−	0.0360410i	$-0.988525\pi$
$563$		−	1.71034i		−	0.0720821i	0.999350	−	0.0360410i	$-0.0114747\pi$
$564$	15.0665	−	7.25566i	0.634415	−	0.305518i
$565$	0.470486	+	0.716466i	0.0197935	+	0.0301420i
$566$	−16.6843	−	1.87987i	−0.701293	−	0.0790167i
$567$	10.4623	+	3.66093i	0.439377	+	0.153745i
$568$	−3.49106			−0.146482
$569$	17.8626	+	6.25039i	0.748838	+	0.262030i	0.677601	−	0.735430i	$-0.263020\pi$
$569$	17.8626	+	6.25039i	0.748838	+	0.262030i	0.0712371	+	0.997459i	$0.477305\pi$
$570$	−0.292411	−	0.223746i	−0.0122477	−	0.00937169i
$571$	1.22514	+	0.589999i	0.0512707	+	0.0246907i	0.459343	−	0.888259i	$-0.348085\pi$
$571$	1.22514	+	0.589999i	0.0512707	+	0.0246907i	−0.408073	+	0.912949i	$0.633799\pi$
$572$	0.497374	−	1.03281i	0.0207962	−	0.0431838i
$573$	−33.6350	+	21.1343i	−1.40512	+	0.882896i
$574$	0.190941	−	0.152270i	0.00796971	−	0.00635563i
$575$	−3.09637	+	42.8771i	−0.129128	+	1.78810i
$576$	1.39297	+	6.10298i	0.0580402	+	0.254291i
$577$	5.16700	−	22.6381i	0.215105	−	0.942436i	−0.745933	−	0.666021i	$-0.767996\pi$
$577$	5.16700	−	22.6381i	0.215105	−	0.942436i	0.961038	−	0.276416i	$-0.0891467\pi$
$578$	11.7970	+	9.40778i	0.490690	+	0.391312i
$579$	38.4406			1.59753
$580$	−2.12494	−	11.8526i	−0.0882335	−	0.492153i
$581$	−16.0355			−0.665264
$582$	−1.63247	−	1.30185i	−0.0676681	−	0.0539635i
$583$	−2.59740	+	11.3800i	−0.107573	+	0.471310i
$584$	−2.80396	−	12.2850i	−0.116029	−	0.508355i
$585$	−0.173314	−	8.64082i	−0.00716565	−	0.357254i
$586$	20.2411	−	16.1417i	0.836151	−	0.666808i
$587$	−7.31406	+	4.59573i	−0.301883	+	0.189686i	−0.674452	−	0.738319i	$-0.735620\pi$
$587$	−7.31406	+	4.59573i	−0.301883	+	0.189686i	0.372569	+	0.928005i	$0.378477\pi$
$588$	−7.99551	+	16.6028i	−0.329729	+	0.684689i
$589$	−0.439798	−	0.211796i	−0.0181216	−	0.00872689i
$590$	2.47116	−	0.328741i	0.101736	−	0.0135341i
$591$	−55.6142	−	19.4603i	−2.28766	−	0.800488i
$592$	−8.90993			−0.366196
$593$	7.68219	+	2.68812i	0.315470	+	0.110388i	0.483370	−	0.875416i	$-0.339413\pi$
$593$	7.68219	+	2.68812i	0.315470	+	0.110388i	−0.167900	+	0.985804i	$0.553698\pi$
$594$	−18.3018	−	2.06212i	−0.750934	−	0.0846099i
$595$	−0.609542	+	2.94128i	−0.0249888	+	0.120581i
$596$	−10.0869	+	4.85760i	−0.413176	+	0.198975i
$597$			67.8262i			2.77594i
$598$	−2.30328	−	4.78280i	−0.0941879	−	0.195583i
$599$	−22.4573	−	14.1109i	−0.917581	−	0.576555i	−0.0116281	−	0.999932i	$-0.503701\pi$
$599$	−22.4573	−	14.1109i	−0.917581	−	0.576555i	−0.905953	+	0.423378i	$0.860844\pi$
$600$	−9.00181	+	12.2664i	−0.367497	+	0.500776i
$601$	3.61055	+	10.3184i	0.147277	+	0.420894i	0.993762	−	0.111518i	$-0.0355713\pi$
$601$	3.61055	+	10.3184i	0.147277	+	0.420894i	−0.846485	+	0.532412i	$0.821286\pi$
$602$	2.59981	+	4.13757i	0.105960	+	0.168635i
$603$	54.8803	+	6.18352i	2.23490	+	0.251813i
$604$	13.9284	+	11.1076i	0.566741	+	0.451961i
$605$	2.22714	+	16.7415i	0.0905461	+	0.680638i
$606$	23.2589	+	37.0163i	0.944826	+	1.50368i
$607$	17.8867	−	22.4291i	0.725997	−	0.910371i	−0.272664	−	0.962109i	$-0.587905\pi$
$607$	17.8867	−	22.4291i	0.725997	−	0.910371i	0.998661	+	0.0517382i	$0.0164761\pi$
$608$	−0.0382624	−	0.0382624i	−0.00155175	−	0.00155175i
$609$	−13.8516	−	7.85486i	−0.561293	−	0.318295i
$610$	−20.1325	−	24.2321i	−0.815143	−	0.981130i
$611$	−3.37169	+	0.379898i	−0.136404	+	0.0153690i
$612$	−8.43690	−	1.92567i	−0.341041	−	0.0778405i
$613$	18.5728	−	29.5585i	0.750149	−	1.19386i	−0.225441	−	0.974257i	$-0.572382\pi$
$613$	18.5728	−	29.5585i	0.750149	−	1.19386i	0.975590	−	0.219599i	$-0.0704750\pi$
$614$	−17.5958	+	22.0644i	−0.710107	+	0.890447i
$615$	−0.347032	+	1.67456i	−0.0139937	+	0.0675249i
$616$	−0.401452	+	1.75888i	−0.0161750	+	0.0708672i
$617$	30.9911	+	14.9245i	1.24766	+	0.600839i	0.936882	−	0.349645i	$-0.113698\pi$
$617$	30.9911	+	14.9245i	1.24766	+	0.600839i	0.310773	+	0.950484i	$0.399412\pi$
$618$	2.97203	+	8.49358i	0.119553	+	0.341662i
$619$	2.58501	−	4.11403i	0.103901	−	0.165357i	−0.790728	−	0.612168i	$-0.790298\pi$
$619$	2.58501	−	4.11403i	0.103901	−	0.165357i	0.894628	+	0.446811i	$0.147440\pi$
$620$	−8.38594	+	18.3459i	−0.336788	+	0.736789i
$621$	−60.3090	+	60.3090i	−2.42012	+	2.42012i
$622$	−4.34343	+	12.4128i	−0.174156	+	0.497708i
$623$	−9.27309	−	11.6281i	−0.371518	−	0.465869i
$624$	0.210364	−	1.86703i	0.00842130	−	0.0747411i
$625$	−24.9196	+	2.00334i	−0.996784	+	0.0801336i
$626$	4.06938	+	4.06938i	0.162645	+	0.162645i
$627$	0.275437	−	0.132644i	0.0109999	−	0.00529728i
$628$	3.83972	+	16.8229i	0.153222	+	0.671308i
$629$	5.34427	−	11.0975i	0.213090	−	0.442486i
$630$	3.29200	+	13.1974i	0.131156	+	0.525797i
$631$	−43.6004	−	9.95150i	−1.73570	−	0.396163i	−0.766465	−	0.642286i	$-0.777986\pi$
$631$	−43.6004	−	9.95150i	−1.73570	−	0.396163i	−0.969239	+	0.246123i	$0.920843\pi$
$632$	1.67316	−	14.8497i	0.0665547	−	0.590689i
$633$	3.75061	+	33.2875i	0.149073	+	1.32306i
$634$	23.3218	−	5.32304i	0.926225	−	0.211405i
$635$	−1.07237	+	3.27382i	−0.0425556	+	0.129917i
$636$	2.14206	+	19.0113i	0.0849380	+	0.753846i
$637$	2.64388	−	2.64388i	0.104754	−	0.104754i
$638$	9.57652	+	2.87297i	0.379138	+	0.113742i
$639$		−	21.8538i		−	0.864523i
$640$	−1.54911	+	1.61253i	−0.0612341	+	0.0637408i
$641$	0.0854211	−	0.0536736i	0.00337393	−	0.00211998i	−0.530344	−	0.847783i	$-0.677937\pi$
$641$	0.0854211	−	0.0536736i	0.00337393	−	0.00211998i	0.533718	+	0.845663i	$0.320794\pi$
$642$	9.02624	+	5.67156i	0.356237	+	0.223839i
$643$	36.8963	−	4.15721i	1.45505	−	0.163944i	0.651257	−	0.758857i	$-0.274242\pi$
$643$	36.8963	−	4.15721i	1.45505	−	0.163944i	0.803790	+	0.594913i	$0.202814\pi$
$644$	5.20901	+	6.53190i	0.205264	+	0.257393i
$645$	−32.5177	−	10.6514i	−1.28038	−	0.419400i
$646$	0.0706068	−	0.0247064i	0.00277799	−	0.000972059i
$647$	−18.5634	+	6.49560i	−0.729801	+	0.255368i	−0.669500	−	0.742812i	$-0.733492\pi$
$647$	−18.5634	+	6.49560i	−0.729801	+	0.255368i	−0.0603009	+	0.998180i	$0.519206\pi$
$648$	−11.1209	+	2.53828i	−0.436872	+	0.0997132i
$649$	−0.683640	+	1.95373i	−0.0268352	+	0.0766907i
$650$	2.54600	−	1.74596i	0.0998623	−	0.0684821i
$651$	11.5738	+	24.0332i	0.453612	+	0.941935i
$652$	−6.36462	+	5.07561i	−0.249258	+	0.198776i
$653$	22.1284	−	17.6468i	0.865951	−	0.690573i	−0.0861748	−	0.996280i	$-0.527464\pi$
$653$	22.1284	−	17.6468i	0.865951	−	0.690573i	0.952126	+	0.305707i	$0.0988929\pi$
$654$	−11.7064	−	24.3086i	−0.457756	−	0.950541i
$655$	−6.74612	−	8.11983i	−0.263593	−	0.317268i
$656$	−0.0830090	+	0.237226i	−0.00324096	+	0.00926212i
$657$	76.9030	−	17.5526i	3.00027	−	0.684793i
$658$	5.04033	−	1.76369i	0.196492	−	0.0687557i
$659$	−13.0049	+	4.55061i	−0.506599	+	0.177267i	−0.571464	−	0.820627i	$-0.693624\pi$
$659$	−13.0049	+	4.55061i	−0.506599	+	0.177267i	0.0648645	+	0.997894i	$0.479338\pi$
$660$	−5.70846	−	11.2698i	−0.222201	−	0.438678i
$661$	−9.05703	−	11.3572i	−0.352278	−	0.441742i	0.573845	−	0.818964i	$-0.305451\pi$
$661$	−9.05703	−	11.3572i	−0.352278	−	0.441742i	−0.926123	+	0.377221i	$0.876880\pi$
$662$	−7.15047	+	0.805664i	−0.277911	+	0.0313130i
$663$	2.19925	+	1.38188i	0.0854117	+	0.0536677i
$664$	13.9728	−	8.77968i	0.542249	−	0.340718i
$665$	−0.0847882	−	0.0814538i	−0.00328795	−	0.00315864i
$666$		−	55.7755i		−	2.16126i
$667$	38.0521	−	26.3773i	1.47338	−	1.02133i
$668$	1.45982	−	1.45982i	0.0564821	−	0.0564821i
$669$	−2.02374	−	17.9612i	−0.0782422	−	0.694418i
$670$	8.91413	+	17.5986i	0.344383	+	0.679893i
$671$	25.5022	−	5.82072i	0.984502	−	0.224706i
$672$	0.331074	+	2.93836i	0.0127715	+	0.113350i
$673$	2.55062	−	22.6373i	0.0983190	−	0.872605i	−0.843647	−	0.536898i	$-0.819596\pi$
$673$	2.55062	−	22.6373i	0.0983190	−	0.872605i	0.941966	−	0.335708i	$-0.108975\pi$
$674$	−3.88900	−	0.887638i	−0.149799	−	0.0341905i
$675$	−39.9878	−	29.3453i	−1.53913	−	1.12950i
$676$	5.47508	−	11.3691i	0.210580	−	0.437274i
$677$	3.77874	+	16.5558i	0.145229	+	0.636290i	0.994172	+	0.107805i	$0.0343823\pi$
$677$	3.77874	+	16.5558i	0.145229	+	0.636290i	−0.848943	+	0.528484i	$0.822761\pi$
$678$	−1.05094	+	0.506106i	−0.0403611	+	0.0194369i
$679$	−0.471470	−	0.471470i	−0.0180934	−	0.0180934i
$680$	−1.07926	−	2.89666i	−0.0413878	−	0.111082i
$681$	3.33580	−	29.6060i	0.127828	−	1.13451i
$682$	−10.4426	−	13.0946i	−0.399867	−	0.501418i
$683$	2.92935	−	8.37161i	0.112089	−	0.320331i	−0.874151	−	0.485655i	$-0.838581\pi$
$683$	2.92935	−	8.37161i	0.112089	−	0.320331i	0.986239	+	0.165324i	$0.0528670\pi$
$684$	0.239520	−	0.239520i	0.00915827	−	0.00915827i
$685$	−11.2566	+	4.19409i	−0.430094	+	0.160248i
$686$	−6.74965	+	10.7420i	−0.257703	+	0.410132i
$687$	19.6666	+	56.2039i	0.750327	+	2.14431i
$688$	−4.53077	−	2.18190i	−0.172734	−	0.0831843i
$689$	0.863784	−	3.78448i	0.0329075	−	0.144177i
$690$	−57.2852	−	11.8716i	−2.18081	−	0.451945i
$691$	29.4521	−	36.9318i	1.12041	−	1.40495i	0.217001	−	0.976171i	$-0.430373\pi$
$691$	29.4521	−	36.9318i	1.12041	−	1.40495i	0.903410	−	0.428779i	$-0.141056\pi$
$692$	−6.01302	+	9.56966i	−0.228581	+	0.363784i
$693$	−11.0105	−	2.51306i	−0.418252	−	0.0954634i
$694$	−7.73448	+	0.871467i	−0.293597	+	0.0330804i
$695$	23.1371	+	2.13802i	0.877641	+	0.0810997i
$696$	16.3704	−	0.739485i	0.620520	−	0.0280301i
$697$	−0.245680	−	0.245680i	−0.00930579	−	0.00930579i
$698$	19.3289	−	24.2376i	0.731608	−	0.917407i
$699$	27.4437	+	43.6764i	1.03802	+	1.65199i
$700$	−3.29502	+	3.57055i	−0.124540	+	0.134954i
$701$	0.00136707	+	0.00109020i	5.16333e−5	+	4.11762e-5i	0.623516	−	0.781811i	$-0.285704\pi$
$701$	0.00136707	+	0.00109020i	5.16333e−5	+	4.11762e-5i	−0.623464	+	0.781852i	$0.714275\pi$
$702$	6.08640	+	0.685772i	0.229716	+	0.0258828i
$703$	0.256507	+	0.408228i	0.00967434	+	0.0153966i
$704$	−0.613201	−	1.75243i	−0.0231109	−	0.0660471i
$705$	−19.2553	+	32.0540i	−0.725195	+	1.20722i
$706$	−3.24935	−	2.04170i	−0.122291	−	0.0768404i
$707$	6.05705	+	12.5776i	0.227799	+	0.473029i
$708$			3.39257i			0.127501i
$709$	4.42264	−	2.12983i	0.166096	−	0.0799874i	−0.348989	−	0.937127i	$-0.613475\pi$
$709$	4.42264	−	2.12983i	0.166096	−	0.0799874i	0.515084	+	0.857139i	$0.327761\pi$
$710$	6.52513	−	4.28489i	0.244884	−	0.160809i
$711$	92.9580	+	10.4739i	3.48620	+	0.392800i
$712$	14.4468	+	5.05516i	0.541417	+	0.189450i
$713$	−77.5607			−2.90467
$714$	−3.85837	−	1.35010i	−0.144396	−	0.0505263i
$715$	0.338017	+	2.54089i	0.0126411	+	0.0950238i
$716$	8.75999	+	4.21859i	0.327376	+	0.157656i
$717$	−15.5208	+	32.2292i	−0.579634	+	1.20362i
$718$	−17.5121	+	11.0036i	−0.653544	+	0.410649i
$719$	12.5529	−	10.0106i	0.468143	−	0.373331i	−0.360820	−	0.932636i	$-0.617503\pi$
$719$	12.5529	−	10.0106i	0.468143	−	0.373331i	0.828963	+	0.559304i	$0.188932\pi$
$720$	−10.0943	−	9.69734i	−0.376193	−	0.361399i
$721$	0.639412	+	2.80145i	0.0238129	+	0.104331i
$722$	4.22725	−	18.5208i	0.157322	−	0.689272i
$723$	−33.5074	−	26.7212i	−1.24615	−	0.993773i
$724$	−16.4663			−0.611964
$725$	18.5195	+	19.5455i	0.687797	+	0.725903i
$726$	−22.9838			−0.853009
$727$	36.2928	+	28.9425i	1.34602	+	1.07342i	0.990318	+	0.138820i	$0.0443310\pi$
$727$	36.2928	+	28.9425i	1.34602	+	1.07342i	0.355706	+	0.934598i	$0.384240\pi$
$728$	0.133506	−	0.584926i	0.00494805	−	0.0216788i
$729$	4.26207	+	18.6733i	0.157854	+	0.691605i
$730$	20.3193	+	19.5202i	0.752051	+	0.722476i
$731$	5.43521	−	4.33444i	0.201029	−	0.160315i
$732$	36.3019	−	22.8100i	1.34176	−	0.843082i
$733$	−15.0971	+	31.3495i	−0.557626	+	1.15792i	0.411513	+	0.911404i	$0.365001\pi$
$733$	−15.0971	+	31.3495i	−0.557626	+	1.15792i	−0.969138	+	0.246517i	$0.920714\pi$
$734$	−16.2404	−	7.82097i	−0.599445	−	0.288677i
$735$	−5.43378	−	40.8459i	−0.200428	−	1.50662i
$736$	−8.11528	−	2.83966i	−0.299133	−	0.104671i
$737$	−16.3798			−0.603357
$738$	−1.48502	−	0.519630i	−0.0546643	−	0.0191279i
$739$	−43.4231	−	4.89261i	−1.59734	−	0.179977i	−0.732053	−	0.681248i	$-0.761438\pi$
$739$	−43.4231	−	4.89261i	−1.59734	−	0.179977i	−0.865291	+	0.501270i	$0.832866\pi$
$740$	16.6535	−	10.9359i	0.612195	−	0.402013i
$741$	−0.0915985	+	0.0441115i	−0.00336496	+	0.00162048i
$742$			6.10925i			0.224278i
$743$	−19.5789	−	40.6560i	−0.718280	−	1.49152i	−0.864694	−	0.502299i	$-0.832488\pi$
$743$	−19.5789	−	40.6560i	−0.718280	−	1.49152i	0.146414	−	0.989223i	$-0.453227\pi$
$744$	−23.2436	−	14.6049i	−0.852150	−	0.535441i
$745$	12.8912	−	21.4599i	0.472299	−	0.786230i
$746$	9.59544	+	27.4222i	0.351314	+	1.00400i
$747$	54.9602	+	87.4687i	2.01089	+	3.20031i
$748$	2.55049	+	0.287371i	0.0932551	+	0.0105073i
$749$	2.66143	+	2.12242i	0.0972466	+	0.0775515i
$750$	1.76953	−	33.9759i	0.0646142	−	1.24062i
$751$	−3.89150	−	6.19329i	−0.142003	−	0.225996i	0.768149	−	0.640271i	$-0.221178\pi$
$751$	−3.89150	−	6.19329i	−0.142003	−	0.225996i	−0.910152	+	0.414275i	$0.864035\pi$
$752$	−3.42633	+	4.29648i	−0.124945	+	0.156676i
$753$	57.7002	+	57.7002i	2.10271	+	2.10271i
$754$	−3.18473	−	0.955424i	−0.115981	−	0.0347945i
$755$	−39.6669	−	3.66548i	−1.44363	−	0.133400i
$756$	−9.57886	+	1.07928i	−0.348380	+	0.0392530i
$757$	−33.8290	−	7.72124i	−1.22954	−	0.280633i	−0.442063	−	0.896984i	$-0.645753\pi$
$757$	−33.8290	−	7.72124i	−1.22954	−	0.280633i	−0.787472	+	0.616351i	$0.788610\pi$
$758$	5.57393	−	8.87085i	0.202454	−	0.322204i
$759$	30.2859	−	37.9773i	1.09931	−	1.37849i
$760$	0.118479	+	0.0245532i	0.00429768	+	0.000890639i
$761$	4.34302	−	19.0280i	0.157434	−	0.689765i	−0.833171	−	0.553015i	$-0.813477\pi$
$761$	4.34302	−	19.0280i	0.157434	−	0.689765i	0.990606	−	0.136750i	$-0.0436657\pi$
$762$	−4.22391	−	2.03413i	−0.153016	−	0.0736887i
$763$	−2.84556	−	8.13215i	−0.103016	−	0.294404i
$764$	6.94517	−	11.0532i	0.251268	−	0.399890i
$765$	18.1329	−	6.75610i	0.655597	−	0.244267i
$766$	4.82486	−	4.82486i	0.174329	−	0.174329i
$767$	0.227349	−	0.649727i	0.00820910	−	0.0234603i
$768$	−1.89729	−	2.37912i	−0.0684625	−	0.0858492i
$769$	−2.49831	+	22.1731i	−0.0900912	+	0.799581i	0.864697	+	0.502294i	$0.167511\pi$
$769$	−2.49831	+	22.1731i	−0.0900912	+	0.799581i	−0.954788	+	0.297287i	$0.903918\pi$
$770$	−1.40847	−	3.78025i	−0.0507579	−	0.136231i
$771$	−16.7786	−	16.7786i	−0.604267	−	0.604267i
$772$	−11.3814	+	5.48099i	−0.409625	+	0.197265i
$773$	−0.961796	−	4.21391i	−0.0345934	−	0.151564i	0.954681	−	0.297629i	$-0.0961960\pi$
$773$	−0.961796	−	4.21391i	−0.0345934	−	0.151564i	−0.989275	+	0.146066i	$0.953339\pi$
$774$	13.6586	−	28.3623i	0.490947	−	1.01946i
$775$	−6.84342	−	44.5830i	−0.245823	−	1.60147i
$776$	0.668961	+	0.152686i	0.0240143	+	0.00548111i
$777$	2.94985	−	26.1806i	0.105825	−	0.939224i
$778$	−1.49503	−	13.2687i	−0.0535994	−	0.475708i
$779$	0.0132588	−	0.00302623i	0.000475045	−	0.000108426i
$780$	1.89838	+	3.74786i	0.0679731	+	0.134195i
$781$	0.725704	+	6.44080i	0.0259677	+	0.230470i
$782$	8.40448	−	8.40448i	0.300544	−	0.300544i
$783$	2.41067	+	53.3665i	0.0861503	+	1.90716i
$784$		−	6.05576i		−	0.216277i
$785$	−27.8251	−	26.7308i	−0.993120	−	0.954064i
$786$	12.1642	−	7.64329i	0.433884	−	0.272627i
$787$	9.39518	+	5.90338i	0.334902	+	0.210433i	0.688975	−	0.724785i	$-0.258061\pi$
$787$	9.39518	+	5.90338i	0.334902	+	0.210433i	−0.354073	+	0.935218i	$0.615204\pi$
$788$	19.2409	−	2.16792i	0.685427	−	0.0772291i
$789$	−1.82503	−	2.28852i	−0.0649728	−	0.0814733i
$790$	15.0991	+	29.8091i	0.537200	+	1.06056i
$791$	−0.351580	+	0.123023i	−0.0125007	+	0.00437420i
$792$	10.9701	−	3.83860i	0.389805	−	0.136399i
$793$	−8.48093	+	1.93572i	−0.301167	+	0.0687393i
$794$	6.54021	−	18.6908i	0.232103	−	0.663313i
$795$	−27.3379	−	32.9047i	−0.969576	−	1.16701i
$796$	−9.67090	−	20.0818i	−0.342776	−	0.711782i
$797$	−30.9591	+	24.6891i	−1.09663	+	0.874533i	−0.992767	−	0.120059i	$-0.961692\pi$
$797$	−30.9591	+	24.6891i	−1.09663	+	0.874533i	−0.103863	+	0.994592i	$0.533120\pi$
$798$	0.125097	−	0.0997612i	0.00442837	−	0.00353151i
$799$	−3.29620	−	6.84463i	−0.116611	−	0.242146i
$800$	0.916241	−	4.91533i	0.0323940	−	0.173783i
$801$	−31.6450	+	90.4361i	−1.11812	+	3.19540i
$802$	−5.38672	+	1.22948i	−0.190212	+	0.0434145i
$803$	−22.0822	+	7.72688i	−0.779263	+	0.272676i
$804$	−25.3401	+	8.86689i	−0.893677	+	0.312711i
$805$	−17.7533	−	5.81525i	−0.625722	−	0.204961i
$806$	3.47275	+	4.35469i	0.122322	+	0.153387i
$807$	−17.3210	+	1.95161i	−0.609729	+	0.0686999i
$808$	−12.1643	−	7.64336i	−0.427940	−	0.268893i
$809$	−45.2305	+	28.4202i	−1.59022	+	0.999201i	−0.612197	+	0.790706i	$0.709714\pi$
$809$	−45.2305	+	28.4202i	−1.59022	+	0.999201i	−0.978023	+	0.208496i	$0.933143\pi$
$810$	17.6706	−	18.3940i	0.620883	−	0.646300i
$811$			6.06565i			0.212994i	0.994313	+	0.106497i	$0.0339634\pi$
$811$			6.06565i			0.212994i	−0.994313	+	0.106497i	$0.966037\pi$
$812$	5.22111	+	0.350645i	0.183225	+	0.0123052i
$813$	17.6831	−	17.6831i	0.620173	−	0.620173i
$814$	1.85215	+	16.4383i	0.0649179	+	0.576162i
$815$	5.66633	−	17.2987i	0.198483	−	0.605946i
$816$	4.10126	−	0.936086i	0.143573	−	0.0327696i
$817$	0.0304670	+	0.270402i	0.00106591	+	0.00946018i
$818$	−1.23534	+	10.9639i	−0.0431925	+	0.383344i
$819$	3.66160	+	0.835736i	0.127947	+	0.0292030i
$820$	−0.136017	−	0.545282i	−0.00474991	−	0.0190421i
$821$	9.49432	−	19.7152i	0.331354	−	0.688064i	−0.667022	−	0.745038i	$-0.732431\pi$
$821$	9.49432	−	19.7152i	0.331354	−	0.688064i	0.998376	+	0.0569747i	$0.0181454\pi$
$822$	−3.63770	−	15.9378i	−0.126879	−	0.555894i
$823$	24.2617	−	11.6838i	0.845711	−	0.407273i	0.0397274	−	0.999211i	$-0.487351\pi$
$823$	24.2617	−	11.6838i	0.845711	−	0.407273i	0.805984	+	0.591937i	$0.201637\pi$
$824$	−2.09100	−	2.09100i	−0.0728434	−	0.0728434i
$825$	24.5021	+	14.0579i	0.853055	+	0.489434i
$826$	−0.121296	+	1.07653i	−0.00422042	+	0.0374573i
$827$	−12.6606	−	15.8759i	−0.440252	−	0.552058i	0.511358	−	0.859368i	$-0.329143\pi$
$827$	−12.6606	−	15.8759i	−0.440252	−	0.552058i	−0.951610	+	0.307310i	$0.900571\pi$
$828$	17.7761	−	50.8011i	0.617761	−	1.76546i
$829$	8.76040	−	8.76040i	0.304261	−	0.304261i	−0.538417	−	0.842679i	$-0.680977\pi$
$829$	8.76040	−	8.76040i	0.304261	−	0.304261i	0.842679	+	0.538417i	$0.180977\pi$
$830$	−15.3404	+	33.5601i	−0.532472	+	1.16489i
$831$	23.7416	−	37.7846i	0.823588	−	1.31073i
$832$	0.203924	+	0.582782i	0.00706980	+	0.0202043i
$833$	7.54257	+	3.63231i	0.261335	+	0.125852i
$834$	−7.03631	+	30.8281i	−0.243648	+	1.06749i
$835$	−0.936776	+	4.52031i	−0.0324185	+	0.156432i
$836$	−0.0626381	+	0.0785457i	−0.00216638	+	0.00271656i
$837$	47.6109	−	75.7724i	1.64567	−	2.61908i
$838$	2.96982	+	0.677842i	0.102591	+	0.0234157i
$839$	−34.5656	+	3.89461i	−1.19334	+	0.134457i	−0.686203	−	0.727410i	$-0.740724\pi$
$839$	−34.5656	+	3.89461i	−1.19334	+	0.134457i	−0.507134	+	0.861867i	$0.669295\pi$
$840$	−4.22532	−	5.08573i	−0.145788	−	0.175474i
$841$	3.87774	−	28.7396i	0.133715	−	0.991020i
$842$	8.51835	+	8.51835i	0.293562	+	0.293562i
$843$	3.35599	−	4.20828i	0.115586	−	0.144941i
$844$	−5.85673	−	9.32093i	−0.201597	−	0.320840i
$845$	3.72089	+	27.9700i	0.128002	+	0.962199i
$846$	−26.8957	−	21.4486i	−0.924692	−	0.737417i
$847$	−7.29323	−	0.821750i	−0.250598	−	0.0282357i
$848$	−3.34491	−	5.32339i	−0.114865	−	0.182806i
$849$	16.8745	+	48.2246i	0.579133	+	1.65507i
$850$	5.57257	+	4.08947i	0.191138	+	0.140268i
$851$	64.8636	+	40.7565i	2.22350	+	1.39711i
$852$	4.60930	+	9.57130i	0.157912	+	0.327908i
$853$			23.7586i			0.813478i	0.913544	+	0.406739i	$0.133334\pi$
$853$			23.7586i			0.813478i	−0.913544	+	0.406739i	$0.866666\pi$
$854$	12.3349	−	5.94016i	0.422090	−	0.203268i
$855$	−0.153702	+	0.741670i	−0.00525648	+	0.0253646i
$856$	−3.48114	−	0.392230i	−0.118983	−	0.0134062i
$857$	1.02388	+	0.358272i	0.0349752	+	0.0122383i	0.347710	−	0.937602i	$-0.386959\pi$
$857$	1.02388	+	0.358272i	0.0349752	+	0.0122383i	−0.312735	+	0.949840i	$0.601245\pi$
$858$	−3.48830			−0.119088
$859$	45.6540	+	15.9750i	1.55769	+	0.545060i	0.965425	−	0.260680i	$-0.0839469\pi$
$859$	45.6540	+	15.9750i	1.55769	+	0.545060i	0.592268	+	0.805741i	$0.298233\pi$
$860$	11.1465	−	1.48283i	0.380092	−	0.0505641i
$861$	−0.669574	−	0.322450i	−0.0228190	−	0.0109891i
$862$	−15.6488	+	32.4951i	−0.533001	+	1.10679i
$863$	−23.0395	+	14.4767i	−0.784275	+	0.492793i	−0.863674	−	0.504050i	$-0.831843\pi$
$863$	−23.0395	+	14.4767i	−0.784275	+	0.492793i	0.0793993	+	0.996843i	$0.474700\pi$
$864$	7.75578	−	6.18503i	0.263857	−	0.210419i
$865$	−0.506794	−	25.2669i	−0.0172315	−	0.859101i
$866$	2.08354	+	9.12857i	0.0708014	+	0.310201i
$867$	10.2172	−	44.7645i	0.346995	−	1.52028i
$868$	−6.85348	−	5.46547i	−0.232622	−	0.185510i
$869$	−27.7446			−0.941172
$870$	−29.6903	+	21.4751i	−1.00659	+	0.728073i
$871$	5.44721			0.184572
$872$	6.93201	+	5.52809i	0.234747	+	0.187205i
$873$	−0.955804	+	4.18765i	−0.0323491	+	0.141730i
$874$	0.103524	+	0.453570i	0.00350177	+	0.0153422i
$875$	1.77626	−	10.7180i	0.0600486	−	0.362333i
$876$	−29.9791	+	23.9075i	−1.01290	+	0.807760i
$877$	−20.9808	+	13.1831i	−0.708471	+	0.445162i	−0.837470	−	0.546483i	$-0.815966\pi$
$877$	−20.9808	+	13.1831i	−0.708471	+	0.445162i	0.128999	+	0.991645i	$0.458824\pi$
$878$	−3.76456	+	7.81719i	−0.127048	+	0.263817i
$879$	−70.9797	−	34.1820i	−2.39409	−	1.15293i
$880$	3.29704	+	2.52282i	0.111143	+	0.0850442i
$881$	−38.4479	−	13.4535i	−1.29534	−	0.453260i	−0.407416	−	0.913243i	$-0.633570\pi$
$881$	−38.4479	−	13.4535i	−1.29534	−	0.453260i	−0.887928	+	0.459982i	$0.847856\pi$
$882$	37.9086			1.27645
$883$	−33.1847	−	11.6118i	−1.11675	−	0.390769i	−0.292088	−	0.956391i	$-0.594350\pi$
$883$	−33.1847	−	11.6118i	−1.11675	−	0.390769i	−0.824664	+	0.565623i	$0.808636\pi$
$884$	−0.848182	−	0.0955672i	−0.0285274	−	0.00321427i
$885$	−4.16400	−	6.34103i	−0.139971	−	0.213152i
$886$	26.3542	−	12.6915i	0.885386	−	0.426380i
$887$		−	37.8057i		−	1.26939i	−0.772762	−	0.634696i	$-0.781125\pi$
$887$		−	37.8057i		−	1.26939i	0.772762	−	0.634696i	$-0.218875\pi$
$888$	11.7639	+	24.4280i	0.394771	+	0.819750i
$889$	−1.26761	−	0.796489i	−0.0425141	−	0.0267134i
$890$	−33.2071	+	8.28329i	−1.11311	+	0.277656i
$891$	6.99475	+	19.9898i	0.234333	+	0.669685i
$892$	3.16015	+	5.02935i	0.105810	+	0.168395i
$893$	0.295493	+	0.0332941i	0.00988830	+	0.00111414i
$894$	26.6358	+	21.2413i	0.890834	+	0.710417i
$895$	−21.5511	+	2.86697i	−0.720374	+	0.0958321i
$896$	−0.516986	−	0.822779i	−0.0172713	−	0.0274871i
$897$	−10.0718	+	12.6296i	−0.336287	+	0.421690i
$898$	−4.25514	−	4.25514i	−0.141996	−	0.141996i
$899$	−32.7660	+	35.8662i	−1.09281	+	1.19621i
$900$	30.7696	+	5.73561i	1.02565	+	0.191187i
$901$	8.63671	−	0.973123i	0.287730	−	0.0324194i
$902$	0.454924	+	0.103833i	0.0151473	+	0.00345727i
$903$	7.91125	−	12.5907i	0.263270	−	0.418992i
$904$	0.238998	−	0.299694i	0.00794894	−	0.00996766i
$905$	30.7770	−	20.2105i	1.02306	−	0.671821i
$906$	12.0633	−	52.8526i	0.400775	−	1.75591i
$907$	−50.5623	−	24.3495i	−1.67889	−	0.808513i	−0.997028	−	0.0770348i	$-0.975455\pi$
$907$	−50.5623	−	24.3495i	−1.67889	−	0.808513i	−0.681865	−	0.731478i	$-0.738831\pi$
$908$	3.23368	+	9.24132i	0.107313	+	0.306684i
$909$	47.8469	−	76.1479i	1.58698	−	2.52567i
$910$	0.468397	+	1.25715i	0.0155272	+	0.0416740i
$911$	−3.89244	+	3.89244i	−0.128962	+	0.128962i	−0.768642	−	0.639680i	$-0.779067\pi$
$911$	−3.89244	+	3.89244i	−0.128962	+	0.128962i	0.639680	+	0.768642i	$0.279067\pi$
$912$	−0.0543841	+	0.155421i	−0.00180084	+	0.00514650i
$913$	−19.1026	−	23.9539i	−0.632204	−	0.792758i
$914$	1.34343	−	11.9232i	0.0444366	−	0.394385i
$915$	−39.8550	+	87.1906i	−1.31756	+	2.88243i
$916$	−13.8366	−	13.8366i	−0.457174	−	0.457174i
$917$	4.13323	−	1.99046i	0.136491	−	0.0657308i
$918$	3.05157	+	13.3698i	0.100717	+	0.441270i
$919$	6.84055	−	14.2046i	0.225649	−	0.468565i	−0.757151	−	0.653240i	$-0.773409\pi$
$919$	6.84055	−	14.2046i	0.225649	−	0.468565i	0.982800	+	0.184675i	$0.0591234\pi$
$920$	18.6536	−	4.65301i	0.614991	−	0.153405i
$921$	83.7250	+	19.1097i	2.75883	+	0.629686i
$922$	−1.41352	+	12.5453i	−0.0465518	+	0.413159i
$923$	−0.241338	−	2.14193i	−0.00794373	−	0.0705025i
$924$	5.35229	−	1.22162i	0.176077	−	0.0401885i
$925$	−17.7043	+	40.8806i	−0.582115	+	1.34415i
$926$	0.275080	+	2.44140i	0.00903970	+	0.0802295i
$927$	13.0895	−	13.0895i	0.429916	−	0.429916i
$928$	−4.74148	+	2.55310i	−0.155647	+	0.0838096i
$929$			12.8682i			0.422190i	0.977465	+	0.211095i	$0.0677030\pi$
$929$			12.8682i			0.422190i	−0.977465	+	0.211095i	$0.932297\pi$
$930$	61.3703	−	1.23094i	2.01241	−	0.0403641i
$931$	−0.277458	+	0.174339i	−0.00909333	+	0.00571372i
$932$	−14.3530	−	9.01860i	−0.470149	−	0.295414i
$933$	39.7664	−	4.48060i	1.30189	−	0.146688i
$934$	13.7490	+	17.2407i	0.449881	+	0.564133i
$935$	−5.11982	+	2.59332i	−0.167436	+	0.0848106i
$936$	−3.64817	+	1.27655i	−0.119244	+	0.0417254i
$937$	−22.4728	+	7.86358i	−0.734155	+	0.256892i	−0.671357	−	0.741134i	$-0.734288\pi$
$937$	−22.4728	+	7.86358i	−0.734155	+	0.256892i	−0.0627982	+	0.998026i	$0.520002\pi$
$938$	−8.35795	+	1.90765i	−0.272897	+	0.0622869i
$939$	5.78400	−	16.5297i	0.188754	−	0.539427i
$940$	1.13068	−	12.2360i	0.0368788	−	0.399093i
$941$	−22.8790	−	47.5088i	−0.745835	−	1.54874i	−0.833454	−	0.552589i	$-0.813640\pi$
$941$	−22.8790	−	47.5088i	−0.745835	−	1.54874i	0.0876183	−	0.996154i	$-0.472074\pi$
$942$	41.0531	−	32.7388i	1.33758	−	1.06669i
$943$	1.68944	−	1.34728i	0.0550156	−	0.0438735i
$944$	−0.483725	−	1.00446i	−0.0157439	−	0.0326925i
$945$	16.5791	−	13.7743i	0.539319	−	0.448077i
$946$	−3.08365	+	8.81257i	−0.100258	+	0.286521i
$947$	−26.2869	+	5.99982i	−0.854211	+	0.194968i	−0.627137	−	0.778909i	$-0.715773\pi$
$947$	−26.2869	+	5.99982i	−0.854211	+	0.194968i	−0.227074	+	0.973877i	$0.572916\pi$
$948$	−42.9219	+	15.0190i	−1.39404	+	0.487795i
$949$	7.34357	−	2.56963i	0.238382	−	0.0834136i
$950$	−0.251585	+	0.0995273i	−0.00816249	+	0.00322909i
$951$	−45.3860	−	56.9123i	−1.47174	−	1.84551i
$952$	1.33488	−	0.150405i	0.0432637	−	0.00487465i
$953$	−15.1755	−	9.53542i	−0.491584	−	0.308883i	0.263331	−	0.964706i	$-0.415179\pi$
$953$	−15.1755	−	9.53542i	−0.491584	−	0.308883i	−0.754915	+	0.655823i	$0.772322\pi$
$954$	33.3241	−	20.9389i	1.07891	−	0.677922i
$955$	0.585358	+	29.1839i	0.0189418	+	0.944368i
$956$		−	11.7554i		−	0.380196i
$957$	−4.76731	−	30.0488i	−0.154105	−	0.971339i
$958$	−7.85223	+	7.85223i	−0.253694	+	0.253694i
$959$	−0.584485	−	5.18745i	−0.0188740	−	0.167511i
$960$	6.46632	+	2.11810i	0.208700	+	0.0683614i
$961$	49.1161	−	11.2104i	1.58439	−	0.361627i
$962$	−0.615945	−	5.46666i	−0.0198589	−	0.176252i
$963$	2.45533	−	21.7917i	0.0791220	−	0.702228i
$964$	13.7308	+	3.13396i	0.442239	+	0.100938i
$965$	14.5456	−	24.2139i	0.468240	−	0.779473i
$966$	11.0307	−	22.9055i	0.354907	−	0.736972i
$967$	8.07091	+	35.3609i	0.259543	+	1.13713i	0.921742	+	0.387804i	$0.126766\pi$
$967$	8.07091	+	35.3609i	0.259543	+	1.13713i	−0.662199	+	0.749328i	$0.730377\pi$
$968$	6.80500	−	3.27711i	0.218721	−	0.105330i
$969$	−0.160960	−	0.160960i	−0.00517077	−	0.00517077i
$970$	−1.43776	+	0.535691i	−0.0461636	+	0.0172000i
$971$	−5.73076	+	50.8619i	−0.183909	+	1.63224i	0.474980	+	0.879997i	$0.342455\pi$
$971$	−5.73076	+	50.8619i	−0.183909	+	1.63224i	−0.658889	+	0.752240i	$0.728973\pi$
$972$	3.08717	+	3.87118i	0.0990209	+	0.124168i
$973$	−3.33497	+	9.53081i	−0.106914	+	0.305544i
$974$	23.6085	−	23.6085i	0.756465	−	0.756465i
$975$	−8.14834	−	4.67505i	−0.260956	−	0.149722i
$976$	−7.49586	+	11.9296i	−0.239937	+	0.381857i
$977$	−13.8474	−	39.5735i	−0.443016	−	1.26607i	−0.921639	−	0.388047i	$-0.873150\pi$
$977$	−13.8474	−	39.5735i	−0.443016	−	1.26607i	0.478623	−	0.878020i	$-0.341136\pi$
$978$	22.3189	+	10.7482i	0.713680	+	0.343690i
$979$	6.32334	−	27.7044i	0.202095	−	0.885436i
$980$	7.43277	+	11.3188i	0.237431	+	0.361566i
$981$	−34.6055	+	43.3939i	−1.10487	+	1.38546i
$982$	−10.8308	+	17.2371i	−0.345623	+	0.550057i
$983$	−6.61684	−	1.51025i	−0.211044	−	0.0481695i	0.115691	−	0.993285i	$-0.463092\pi$
$983$	−6.61684	−	1.51025i	−0.211044	−	0.0481695i	−0.326736	+	0.945116i	$0.605949\pi$
$984$	0.759991	−	0.0856304i	0.0242276	−	0.00272980i
$985$	−33.3021	+	27.6681i	−1.06109	+	0.881578i
$986$	−0.335943	−	7.43699i	−0.0106986	−	0.236842i
$987$	−11.4902	−	11.4902i	−0.365739	−	0.365739i
$988$	0.0208307	−	0.0261209i	0.000662713	−	0.000831016i
$989$	23.0030	+	36.6091i	0.731454	+	1.16410i
$990$	−15.7927	+	20.6393i	−0.501924	+	0.655959i
$991$	23.3469	+	18.6185i	0.741639	+	0.591437i	0.919718	−	0.392579i	$-0.128417\pi$
$991$	23.3469	+	18.6185i	0.741639	+	0.591437i	−0.178080	+	0.984016i	$0.556988\pi$
$992$	8.96432	+	1.01004i	0.284617	+	0.0320687i
$993$	11.6497	+	18.5404i	0.369693	+	0.588362i
$994$	1.12042	+	3.20197i	0.0355375	+	0.101560i
$995$	42.7241	+	25.6649i	1.35444	+	0.813632i
$996$	−42.5194	−	26.7167i	−1.34728	−	0.846551i
$997$	16.2203	+	33.6819i	0.513703	+	1.06672i	0.982988	+	0.183669i	$0.0587973\pi$
$997$	16.2203	+	33.6819i	0.513703	+	1.06672i	−0.469285	+	0.883047i	$0.655488\pi$
$998$		−	31.0668i		−	0.983401i
$999$	−79.6336	+	38.3495i	−2.51949	+	1.21332i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	290.2.o.b.247.8	✓	96
5.3	odd	4		290.2.t.b.73.8	yes	96
29.2	odd	28		290.2.t.b.147.8	yes	96
145.118	even	28	inner	290.2.o.b.263.8	yes	96

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
290.2.o.b.247.8	✓	96	1.1	even	1	trivial
290.2.o.b.263.8	yes	96	145.118	even	28	inner
290.2.t.b.73.8	yes	96	5.3	odd	4
290.2.t.b.147.8	yes	96	29.2	odd	28

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 $\F_{q}$
Belyi maps

Level:	\( N \)	\(=\)	\( 290 = 2 \cdot 5 \cdot 29 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	290.o (of order \(28\), degree \(12\), minimal)

\(f(q)\)	\(=\)	\(q+(0.781831 + 0.623490i) q^{2} +(0.677134 - 2.96672i) q^{3} +(0.222521 + 0.974928i) q^{4} +(-1.61253 - 1.54911i) q^{5} +(2.37912 - 1.89729i) q^{6} +(0.822779 - 0.516986i) q^{7} +(-0.433884 + 0.900969i) q^{8} +(-5.64000 - 2.71608i) q^{9} +(-0.294869 - 2.21654i) q^{10} +(1.75243 + 0.613201i) q^{11} +3.04301 q^{12} +(-0.582782 - 0.203924i) q^{13} +(0.965610 + 0.108798i) q^{14} +(-5.68768 + 3.73496i) q^{15} +(-0.900969 + 0.433884i) q^{16} -1.38242i q^{17} +(-2.71608 - 5.64000i) q^{18} +(0.0458173 + 0.0287889i) q^{19} +(1.15145 - 1.91681i) q^{20} +(-0.976621 - 2.79102i) q^{21} +(0.987779 + 1.57204i) q^{22} +(8.54369 + 0.962643i) q^{23} +(2.37912 + 1.89729i) q^{24} +(0.200495 + 4.99598i) q^{25} +(-0.328492 - 0.522793i) q^{26} +(-6.18503 + 7.75578i) q^{27} +(0.687110 + 0.687110i) q^{28} +(4.05449 - 3.54417i) q^{29} +(-6.77552 - 0.626102i) q^{30} +(-8.96432 + 1.01004i) q^{31} +(-0.974928 - 0.222521i) q^{32} +(3.00582 - 4.78374i) q^{33} +(0.861927 - 1.08082i) q^{34} +(-2.12762 - 0.440923i) q^{35} +(1.39297 - 6.10298i) q^{36} +(8.02757 + 3.86587i) q^{37} +(0.0178718 + 0.0510747i) q^{38} +(-0.999607 + 1.59087i) q^{39} +(2.09535 - 0.780703i) q^{40} +(0.177717 - 0.177717i) q^{41} +(0.976621 - 2.79102i) q^{42} +(3.13539 + 3.93166i) q^{43} +(-0.207875 + 1.84494i) q^{44} +(4.88714 + 13.1168i) q^{45} +(6.07953 + 6.07953i) q^{46} +(4.95119 - 2.38437i) q^{47} +(0.677134 + 2.96672i) q^{48} +(-2.62750 + 5.45605i) q^{49} +(-2.95819 + 4.03102i) q^{50} +(-4.10126 - 0.936086i) q^{51} +(0.0691302 - 0.613547i) q^{52} +(0.703926 + 6.24751i) q^{53} +(-9.67130 + 2.20741i) q^{54} +(-1.87592 - 3.70351i) q^{55} +(0.108798 + 0.965610i) q^{56} +(0.116433 - 0.116433i) q^{57} +(5.37968 - 0.243011i) q^{58} +1.11487i q^{59} +(-4.90695 - 4.71397i) q^{60} +(11.9296 - 7.49586i) q^{61} +(-7.63833 - 4.79948i) q^{62} +(-6.04465 + 0.681069i) q^{63} +(-0.623490 - 0.781831i) q^{64} +(0.623850 + 1.23163i) q^{65} +(5.33266 - 1.86598i) q^{66} +(-8.32731 + 2.91385i) q^{67} +(1.34776 - 0.307618i) q^{68} +(8.64112 - 24.6949i) q^{69} +(-1.38853 - 1.67128i) q^{70} +(1.51471 + 3.14534i) q^{71} +(4.89421 - 3.90300i) q^{72} +(-9.85178 + 7.85653i) q^{73} +(3.86587 + 8.02757i) q^{74} +(14.9574 + 2.78813i) q^{75} +(-0.0178718 + 0.0510747i) q^{76} +(1.75888 - 0.401452i) q^{77} +(-1.77341 + 0.620544i) q^{78} +(-14.1051 + 4.93558i) q^{79} +(2.12497 + 0.696053i) q^{80} +(7.11211 + 8.91830i) q^{81} +(0.249749 - 0.0281400i) q^{82} +(-13.9728 - 8.77968i) q^{83} +(2.50373 - 1.57320i) q^{84} +(-2.14153 + 2.22920i) q^{85} +5.02878i q^{86} +(-7.76912 - 14.4284i) q^{87} +(-1.31283 + 1.31283i) q^{88} +(-1.71370 - 15.2095i) q^{89} +(-4.35724 + 13.3022i) q^{90} +(-0.584926 + 0.133506i) q^{91} +(0.962643 + 8.54369i) q^{92} +(-3.07355 + 27.2785i) q^{93} +(5.35762 + 1.22284i) q^{94} +(-0.0292844 - 0.117399i) q^{95} +(-1.32031 + 2.74166i) q^{96} +(-0.152686 - 0.668961i) q^{97} +(-5.45605 + 2.62750i) q^{98} +(-8.21820 - 8.21820i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 96 q - 4 q^{3} + 16 q^{4} - 14 q^{5} - 12 q^{7} - 24 q^{9} - 6 q^{10} - 18 q^{11} + 4 q^{12} + 14 q^{13} + 12 q^{14} - 6 q^{15} - 16 q^{16} - 14 q^{19} - 24 q^{21} + 4 q^{22} + 40 q^{23} + 24 q^{25} - 42 q^{26}+ \cdots - 60 q^{99}+O(q^{100}) \) 96 * q - 4 * q^3 + 16 * q^4 - 14 * q^5 - 12 * q^7 - 24 * q^9 - 6 * q^10 - 18 * q^11 + 4 * q^12 + 14 * q^13 + 12 * q^14 - 6 * q^15 - 16 * q^16 - 14 * q^19 - 24 * q^21 + 4 * q^22 + 40 * q^23 + 24 * q^25 - 42 * q^26 - 4 * q^27 - 2 * q^28 - 6 * q^29 - 34 * q^30 - 20 * q^31 - 18 * q^33 - 4 * q^34 - 26 * q^35 + 10 * q^36 + 46 * q^37 + 14 * q^38 + 18 * q^39 + 6 * q^40 - 16 * q^41 + 24 * q^42 - 20 * q^43 - 24 * q^44 + 44 * q^45 - 2 * q^46 - 24 * q^47 - 4 * q^48 - 14 * q^49 + 28 * q^50 + 14 * q^52 - 56 * q^53 + 48 * q^55 + 16 * q^56 + 20 * q^57 + 18 * q^58 - 8 * q^60 + 24 * q^61 - 8 * q^62 - 50 * q^63 + 16 * q^64 - 26 * q^65 + 4 * q^66 + 14 * q^67 - 2 * q^69 - 4 * q^70 - 28 * q^72 - 14 * q^73 + 14 * q^74 + 12 * q^75 - 14 * q^76 - 42 * q^77 - 60 * q^78 + 6 * q^79 - 40 * q^81 - 16 * q^82 - 6 * q^83 - 4 * q^84 - 26 * q^85 - 34 * q^87 - 4 * q^88 + 76 * q^89 - 88 * q^90 + 42 * q^91 + 30 * q^92 + 26 * q^93 + 28 * q^94 - 310 * q^95 - 4 * q^97 + 64 * q^98 - 60 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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