LMFDB - Embedded newform 804.2.w.a.59.18

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [804,2,Mod(59,804)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(804, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([11, 11, 12]))

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

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

chi := DirichletCharacter("804.59");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 804 = 2^{2} \cdot 3 \cdot 67 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	804.w (of order $22$, degree $10$, 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:	$6.41997232251$
Analytic rank:	$0$
Dimension:	$1320$
Relative dimension:	$132$ over $\Q(\zeta_{22})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label			59.18
Character	$\chi$	$=$	804.59
Dual form			804.2.w.a.695.18

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.26563 + 0.631011i) q^{2} +(1.52145 - 0.827758i) q^{3} +(1.20365 - 1.59726i) q^{4} +(-1.73166 + 2.69452i) q^{5} +(-1.40327 + 2.00769i) q^{6} +(-2.30452 - 0.331340i) q^{7} +(-0.515490 + 2.78106i) q^{8} +(1.62963 - 2.51879i) q^{9} +O(q^{10})$	\(q+(-1.26563 + 0.631011i) q^{2} +(1.52145 - 0.827758i) q^{3} +(1.20365 - 1.59726i) q^{4} +(-1.73166 + 2.69452i) q^{5} +(-1.40327 + 2.00769i) q^{6} +(-2.30452 - 0.331340i) q^{7} +(-0.515490 + 2.78106i) q^{8} +(1.62963 - 2.51879i) q^{9} +(0.491374 - 4.50296i) q^{10} +(-2.90279 - 1.86551i) q^{11} +(0.509152 - 3.42648i) q^{12} +(2.71821 + 5.95206i) q^{13} +(3.12575 - 1.03482i) q^{14} +(-0.404230 + 5.53297i) q^{15} +(-1.10246 - 3.84507i) q^{16} +(-1.87307 - 6.37911i) q^{17} +(-0.473130 + 4.21618i) q^{18} +(-5.05531 + 0.726843i) q^{19} +(2.21952 + 6.00916i) q^{20} +(-3.78049 + 1.40347i) q^{21} +(4.85103 + 0.529356i) q^{22} +(-1.71840 - 1.98313i) q^{23} +(1.51775 + 4.65794i) q^{24} +(-2.18470 - 4.78382i) q^{25} +(-7.19608 - 5.81789i) q^{26} +(0.394459 - 5.18116i) q^{27} +(-3.30307 + 3.28209i) q^{28} -5.46846i q^{29} +(-2.97976 - 7.25778i) q^{30} +(-4.51531 - 2.06207i) q^{31} +(3.82159 + 4.17078i) q^{32} +(-5.96066 - 0.435476i) q^{33} +(6.39591 + 6.89167i) q^{34} +(4.88345 - 5.63580i) q^{35} +(-2.06165 - 5.63468i) q^{36} -0.114534 q^{37} +(5.93951 - 4.10987i) q^{38} +(9.06250 + 6.80575i) q^{39} +(-6.60095 - 6.20484i) q^{40} +(0.621744 + 2.11747i) q^{41} +(3.89910 - 4.16181i) q^{42} +(-1.17644 - 4.00657i) q^{43} +(-6.47365 + 2.39109i) q^{44} +(3.96495 + 8.75276i) q^{45} +(3.42624 + 1.42559i) q^{46} +(-6.38827 - 7.37246i) q^{47} +(-4.86013 - 4.93753i) q^{48} +(-1.51542 - 0.444968i) q^{49} +(5.78366 + 4.67598i) q^{50} +(-8.13015 - 8.15505i) q^{51} +(12.7787 + 2.82251i) q^{52} +(-4.09298 + 13.9394i) q^{53} +(2.77013 + 6.80635i) q^{54} +(10.0533 - 4.59119i) q^{55} +(2.10943 - 6.23820i) q^{56} +(-7.08975 + 5.29043i) q^{57} +(3.45066 + 6.92106i) q^{58} +(-1.83454 + 4.01709i) q^{59} +(8.35103 + 7.30542i) q^{60} +(-7.63273 + 4.90526i) q^{61} +(7.01591 - 0.239386i) q^{62} +(-4.59010 + 5.26464i) q^{63} +(-7.46854 - 2.86721i) q^{64} +(-20.7449 - 2.98267i) q^{65} +(7.81879 - 3.21009i) q^{66} +(-1.73125 + 8.00017i) q^{67} +(-12.4436 - 4.68642i) q^{68} +(-4.25601 - 1.59483i) q^{69} +(-2.62440 + 10.2144i) q^{70} +(-1.01811 - 0.298944i) q^{71} +(6.16483 + 5.83051i) q^{72} +(10.1207 - 6.50416i) q^{73} +(0.144958 - 0.0722724i) q^{74} +(-7.28375 - 5.46995i) q^{75} +(-4.92386 + 8.94949i) q^{76} +(6.07143 + 5.26093i) q^{77} +(-15.7643 - 2.89503i) q^{78} +(3.92452 - 1.79227i) q^{79} +(12.2697 + 3.68777i) q^{80} +(-3.68860 - 8.20940i) q^{81} +(-2.12305 - 2.28761i) q^{82} +(6.80671 + 4.37441i) q^{83} +(-2.30868 + 7.72769i) q^{84} +(20.4321 + 5.99942i) q^{85} +(4.01713 + 4.32850i) q^{86} +(-4.52656 - 8.32000i) q^{87} +(6.68446 - 7.11118i) q^{88} +(5.66850 + 4.91178i) q^{89} +(-10.5413 - 8.57584i) q^{90} +(-4.29203 - 14.6173i) q^{91} +(-5.23592 + 0.357721i) q^{92} +(-8.57672 + 0.600240i) q^{93} +(12.7373 + 5.29975i) q^{94} +(6.79558 - 14.8803i) q^{95} +(9.26677 + 3.18229i) q^{96} -11.9716 q^{97} +(2.19874 - 0.393082i) q^{98} +(-9.42932 + 4.27143i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 1320 q - 18 q^{4} - 5 q^{6} - 22 q^{9}+O(q^{10}) $ 1320 * q - 18 * q^4 - 5 * q^6 - 22 * q^9	$ 1320 q - 18 q^{4} - 5 q^{6} - 22 q^{9} - 26 q^{10} - 15 q^{12} - 44 q^{13} - 34 q^{16} - 13 q^{18} - 66 q^{21} + 74 q^{22} + 13 q^{24} + 80 q^{25} - 110 q^{28} - 36 q^{30} - 22 q^{33} - 54 q^{34} - 37 q^{36} - 72 q^{37} - 22 q^{40} + q^{42} - 154 q^{45} - 82 q^{46} + 11 q^{48} + 96 q^{49} - 14 q^{52} - 138 q^{54} - 6 q^{57} + 74 q^{58} + 3 q^{60} - 28 q^{61} - 6 q^{64} - 4 q^{66} - 38 q^{69} - 18 q^{70} - 145 q^{72} + 96 q^{73} + 14 q^{76} - 51 q^{78} - 38 q^{81} - 74 q^{82} - 41 q^{84} - 76 q^{85} + 6 q^{88} - 5 q^{90} + 78 q^{93} - 22 q^{94} + 184 q^{96} - 128 q^{97}+O(q^{100}) $ 1320 * q - 18 * q^4 - 5 * q^6 - 22 * q^9 - 26 * q^10 - 15 * q^12 - 44 * q^13 - 34 * q^16 - 13 * q^18 - 66 * q^21 + 74 * q^22 + 13 * q^24 + 80 * q^25 - 110 * q^28 - 36 * q^30 - 22 * q^33 - 54 * q^34 - 37 * q^36 - 72 * q^37 - 22 * q^40 + q^42 - 154 * q^45 - 82 * q^46 + 11 * q^48 + 96 * q^49 - 14 * q^52 - 138 * q^54 - 6 * q^57 + 74 * q^58 + 3 * q^60 - 28 * q^61 - 6 * q^64 - 4 * q^66 - 38 * q^69 - 18 * q^70 - 145 * q^72 + 96 * q^73 + 14 * q^76 - 51 * q^78 - 38 * q^81 - 74 * q^82 - 41 * q^84 - 76 * q^85 + 6 * q^88 - 5 * q^90 + 78 * q^93 - 22 * q^94 + 184 * q^96 - 128 * q^97

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/804\mathbb{Z}\right)^\times$.

$n$	$269$	$337$	$403$
$\chi(n)$	$-1$	$e\left(\frac{6}{11}\right)$	$-1$

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 $

$2$	−1.26563	+	0.631011i	−0.894937	+	0.446192i
$2$	−1.26563	+	0.631011i	−0.894937	+	0.446192i
$3$	1.52145	−	0.827758i	0.878411	−	0.477906i
$3$	1.52145	−	0.827758i	0.878411	−	0.477906i
$4$	1.20365	−	1.59726i	0.601825	−	0.798628i
$5$	−1.73166	+	2.69452i	−0.774422	+	1.20502i	0.199889	+	0.979819i	$0.435942\pi$
$5$	−1.73166	+	2.69452i	−0.774422	+	1.20502i	−0.974311	+	0.225206i	$0.927695\pi$
$6$	−1.40327	+	2.00769i	−0.572884	+	0.819636i
$7$	−2.30452	−	0.331340i	−0.871027	−	0.125235i	−0.307715	−	0.951479i	$-0.599564\pi$
$7$	−2.30452	−	0.331340i	−0.871027	−	0.125235i	−0.563312	+	0.826244i	$0.690473\pi$
$8$	−0.515490	+	2.78106i	−0.182253	+	0.983252i
$9$	1.62963	−	2.51879i	0.543211	−	0.839596i
$10$	0.491374	−	4.50296i	0.155386	−	1.42396i
$11$	−2.90279	−	1.86551i	−0.875225	−	0.562473i	0.0241214	−	0.999709i	$-0.492321\pi$
$11$	−2.90279	−	1.86551i	−0.875225	−	0.562473i	−0.899347	+	0.437236i	$0.855958\pi$
$12$	0.509152	−	3.42648i	0.146979	−	0.989140i
$13$	2.71821	+	5.95206i	0.753897	+	1.65080i	0.759233	+	0.650819i	$0.225574\pi$
$13$	2.71821	+	5.95206i	0.753897	+	1.65080i	−0.00533610	+	0.999986i	$0.501699\pi$
$14$	3.12575	−	1.03482i	0.835393	−	0.276568i
$15$	−0.404230	+	5.53297i	−0.104372	+	1.42861i
$16$	−1.10246	−	3.84507i	−0.275614	−	0.961268i
$17$	−1.87307	−	6.37911i	−0.454287	−	1.54716i	−0.794771	−	0.606910i	$-0.792409\pi$
$17$	−1.87307	−	6.37911i	−0.454287	−	1.54716i	0.340483	−	0.940251i	$-0.389409\pi$
$18$	−0.473130	+	4.21618i	−0.111518	+	0.993762i
$19$	−5.05531	+	0.726843i	−1.15977	+	0.166749i	−0.695218	−	0.718799i	$-0.744692\pi$
$19$	−5.05531	+	0.726843i	−1.15977	+	0.166749i	−0.464548	+	0.885548i	$0.653783\pi$
$20$	2.21952	+	6.00916i	0.496300	+	1.34369i
$21$	−3.78049	+	1.40347i	−0.824970	+	0.306262i
$22$	4.85103	+	0.529356i	1.03424	+	0.112859i
$23$	−1.71840	−	1.98313i	−0.358310	−	0.413512i	0.547763	−	0.836634i	$-0.315480\pi$
$23$	−1.71840	−	1.98313i	−0.358310	−	0.413512i	−0.906073	+	0.423122i	$0.860934\pi$
$24$	1.51775	+	4.65794i	0.309809	+	0.950799i
$25$	−2.18470	−	4.78382i	−0.436939	−	0.956763i
$26$	−7.19608	−	5.81789i	−1.41127	−	1.14098i
$27$	0.394459	−	5.18116i	0.0759136	−	0.997114i
$28$	−3.30307	+	3.28209i	−0.624222	+	0.620257i
$29$		−	5.46846i		−	1.01547i	−0.861514	−	0.507734i	$-0.830483\pi$
$29$		−	5.46846i		−	1.01547i	0.861514	−	0.507734i	$-0.169517\pi$
$30$	−2.97976	−	7.25778i	−0.544028	−	1.32508i
$31$	−4.51531	−	2.06207i	−0.810973	−	0.370359i	−0.0336286	−	0.999434i	$-0.510706\pi$
$31$	−4.51531	−	2.06207i	−0.810973	−	0.370359i	−0.777344	+	0.629076i	$0.783434\pi$
$32$	3.82159	+	4.17078i	0.675568	+	0.737298i
$33$	−5.96066	−	0.435476i	−1.03762	−	0.0758066i
$34$	6.39591	+	6.89167i	1.09689	+	1.18191i
$35$	4.88345	−	5.63580i	0.825454	−	0.952624i
$36$	−2.06165	−	5.63468i	−0.343608	−	0.939113i
$37$	−0.114534			−0.0188293			−0.00941465	−	0.999956i	$-0.502997\pi$
$37$	−0.114534			−0.0188293			−0.00941465	+	0.999956i	$0.502997\pi$
$38$	5.93951	−	4.10987i	0.963516	−	0.666709i
$39$	9.06250	+	6.80575i	1.45116	+	1.08979i
$40$	−6.60095	−	6.20484i	−1.04370	−	0.981071i
$41$	0.621744	+	2.11747i	0.0971002	+	0.330693i	0.993689	−	0.112171i	$-0.0357806\pi$
$41$	0.621744	+	2.11747i	0.0971002	+	0.330693i	−0.896589	+	0.442864i	$0.853962\pi$
$42$	3.89910	−	4.16181i	0.601644	−	0.642181i
$43$	−1.17644	−	4.00657i	−0.179405	−	0.610997i	−0.999261	−	0.0384276i	$-0.987765\pi$
$43$	−1.17644	−	4.00657i	−0.179405	−	0.610997i	0.819857	−	0.572569i	$-0.194053\pi$
$44$	−6.47365	+	2.39109i	−0.975939	+	0.360470i
$45$	3.96495	+	8.75276i	0.591060	+	1.30478i
$46$	3.42624	+	1.42559i	0.505171	+	0.210192i
$47$	−6.38827	−	7.37246i	−0.931825	−	1.07538i	−0.996992	−	0.0775089i	$-0.975303\pi$
$47$	−6.38827	−	7.37246i	−0.931825	−	1.07538i	0.0651667	−	0.997874i	$-0.479242\pi$
$48$	−4.86013	−	4.93753i	−0.701499	−	0.712670i
$49$	−1.51542	−	0.444968i	−0.216489	−	0.0635668i
$50$	5.78366	+	4.67598i	0.817934	+	0.661284i
$51$	−8.13015	−	8.15505i	−1.13845	−	1.14194i
$52$	12.7787	+	2.82251i	1.77209	+	0.391411i
$53$	−4.09298	+	13.9394i	−0.562214	+	1.91473i	−0.217208	+	0.976125i	$0.569695\pi$
$53$	−4.09298	+	13.9394i	−0.562214	+	1.91473i	−0.345006	+	0.938600i	$0.612123\pi$
$54$	2.77013	+	6.80635i	0.376967	+	0.926227i
$55$	10.0533	−	4.59119i	1.35559	−	0.619076i
$56$	2.10943	−	6.23820i	0.281885	−	0.833614i
$57$	−7.08975	+	5.29043i	−0.939061	+	0.700734i
$58$	3.45066	+	6.92106i	0.453094	+	0.908780i
$59$	−1.83454	+	4.01709i	−0.238837	+	0.522980i	−0.990655	−	0.136390i	$-0.956450\pi$
$59$	−1.83454	+	4.01709i	−0.238837	+	0.522980i	0.751818	+	0.659371i	$0.229177\pi$
$60$	8.35103	+	7.30542i	1.07811	+	0.943125i
$61$	−7.63273	+	4.90526i	−0.977271	+	0.628054i	−0.928726	−	0.370767i	$-0.879095\pi$
$61$	−7.63273	+	4.90526i	−0.977271	+	0.628054i	−0.0485453	+	0.998821i	$0.515459\pi$
$62$	7.01591	−	0.239386i	0.891021	−	0.0304021i
$63$	−4.59010	+	5.26464i	−0.578298	+	0.663282i
$64$	−7.46854	−	2.86721i	−0.933568	−	0.358401i
$65$	−20.7449	−	2.98267i	−2.57309	−	0.369955i
$66$	7.81879	−	3.21009i	0.962426	−	0.395135i
$67$	−1.73125	+	8.00017i	−0.211506	+	0.977377i
$67$	−1.73125	+	8.00017i	−0.211506	+	0.977377i
$68$	−12.4436	−	4.68642i	−1.50901	−	0.568312i
$69$	−4.25601	−	1.59483i	−0.512364	−	0.191995i
$70$	−2.62440	+	10.2144i	−0.313675	+	1.22085i
$71$	−1.01811	−	0.298944i	−0.120827	−	0.0354781i	0.220760	−	0.975328i	$-0.429146\pi$
$71$	−1.01811	−	0.298944i	−0.120827	−	0.0354781i	−0.341587	+	0.939850i	$0.610964\pi$
$72$	6.16483	+	5.83051i	0.726533	+	0.687132i
$73$	10.1207	−	6.50416i	1.18453	−	0.761254i	0.208320	−	0.978061i	$-0.433200\pi$
$73$	10.1207	−	6.50416i	1.18453	−	0.761254i	0.976215	+	0.216806i	$0.0695640\pi$
$74$	0.144958	−	0.0722724i	0.0168510	−	0.00840149i
$75$	−7.28375	−	5.46995i	−0.841055	−	0.631615i
$76$	−4.92386	+	8.94949i	−0.564805	+	1.02658i
$77$	6.07143	+	5.26093i	0.691904	+	0.599538i
$78$	−15.7643	−	2.89503i	−1.78496	−	0.327798i
$79$	3.92452	−	1.79227i	0.441543	−	0.201646i	−0.182223	−	0.983257i	$-0.558329\pi$
$79$	3.92452	−	1.79227i	0.441543	−	0.201646i	0.623766	+	0.781611i	$0.285602\pi$
$80$	12.2697	+	3.68777i	1.37179	+	0.412305i
$81$	−3.68860	−	8.20940i	−0.409844	−	0.912156i
$82$	−2.12305	−	2.28761i	−0.234451	−	0.252624i
$83$	6.80671	+	4.37441i	0.747133	+	0.480153i	0.857979	−	0.513684i	$-0.171720\pi$
$83$	6.80671	+	4.37441i	0.747133	+	0.480153i	−0.110846	+	0.993838i	$0.535356\pi$
$84$	−2.30868	+	7.72769i	−0.251898	+	0.843160i
$85$	20.4321	+	5.99942i	2.21618	+	0.650728i
$86$	4.01713	+	4.32850i	0.433178	+	0.466754i
$87$	−4.52656	−	8.32000i	−0.485299	−	0.891998i
$88$	6.68446	−	7.11118i	0.712565	−	0.758054i
$89$	5.66850	+	4.91178i	0.600859	+	0.520648i	0.901324	−	0.433145i	$-0.142596\pi$
$89$	5.66850	+	4.91178i	0.600859	+	0.520648i	−0.300465	+	0.953793i	$0.597142\pi$
$90$	−10.5413	−	8.57584i	−1.11115	−	0.903973i
$91$	−4.29203	−	14.6173i	−0.449927	−	1.53231i
$92$	−5.23592	+	0.357721i	−0.545882	+	0.0372950i
$93$	−8.57672	+	0.600240i	−0.889364	+	0.0622420i
$94$	12.7373	+	5.29975i	1.31375	+	0.546627i
$95$	6.79558	−	14.8803i	0.697212	−	1.52668i
$96$	9.26677	+	3.18229i	0.945786	+	0.324792i
$97$	−11.9716			−1.21554			−0.607768	−	0.794115i	$-0.707935\pi$
$97$	−11.9716			−1.21554			−0.607768	+	0.794115i	$0.707935\pi$
$98$	2.19874	−	0.393082i	0.222107	−	0.0397073i
$99$	−9.42932	+	4.27143i	−0.947682	+	0.429295i
$100$	−10.2706	−	2.26852i	−1.02706	−	0.226852i
$101$	−5.24577	+	0.754228i	−0.521974	+	0.0750485i	−0.398266	−	0.917270i	$-0.630388\pi$
$101$	−5.24577	+	0.754228i	−0.521974	+	0.0750485i	−0.123708	+	0.992319i	$0.539479\pi$
$102$	15.4357	+	5.19108i	1.52836	+	0.513993i
$103$	−9.22600	−	4.21337i	−0.909065	−	0.415156i	−0.0946980	−	0.995506i	$-0.530189\pi$
$103$	−9.22600	−	4.21337i	−0.909065	−	0.415156i	−0.814367	+	0.580350i	$0.802916\pi$
$104$	−17.9542	+	4.49128i	−1.76056	+	0.440406i
$105$	2.76485	−	12.6169i	0.269822	−	1.23129i
$106$	−3.61572	−	20.2249i	−0.351190	−	1.96441i
$107$	10.2538	−	6.58974i	0.991276	−	0.637054i	0.0587936	−	0.998270i	$-0.481275\pi$
$107$	10.2538	−	6.58974i	0.991276	−	0.637054i	0.932482	+	0.361216i	$0.117638\pi$
$108$	−7.80085	−	6.86635i	−0.750637	−	0.660715i
$109$	−5.73059	−	12.5482i	−0.548891	−	1.20190i	−0.957298	−	0.289104i	$-0.906643\pi$
$109$	−5.73059	−	12.5482i	−0.548891	−	1.20190i	0.408407	−	0.912800i	$-0.366084\pi$
$110$	−9.82670	+	12.1545i	−0.936939	+	1.15889i
$111$	−0.174258	+	0.0948066i	−0.0165399	+	0.00899864i
$112$	1.26661	+	9.22634i	0.119683	+	0.871807i
$113$	−0.886889	−	1.38003i	−0.0834315	−	0.129822i	0.797030	−	0.603940i	$-0.206403\pi$
$113$	−0.886889	−	1.38003i	−0.0834315	−	0.129822i	−0.880461	+	0.474118i	$0.842767\pi$
$114$	5.63470	−	11.1695i	0.527738	−	1.04612i
$115$	8.31926	−	1.19613i	0.775775	−	0.111540i
$116$	−8.73453	−	6.58211i	−0.810981	−	0.611133i
$117$	19.4217	+	2.85306i	1.79553	+	0.263765i
$118$	−0.212972	−	6.24177i	−0.0196057	−	0.574602i
$119$	2.20289	+	15.3214i	0.201938	+	1.40451i
$120$	−15.1791	−	3.97638i	−1.38566	−	0.362992i
$121$	0.376513	+	0.824449i	0.0342285	+	0.0749499i
$122$	6.56496	−	11.0246i	0.594363	−	0.998120i
$123$	2.69871	+	2.70697i	0.243334	+	0.244079i
$124$	−8.72850	+	4.73009i	−0.783842	+	0.424775i
$125$	0.821343	+	0.118091i	0.0734632	+	0.0105624i
$126$	2.48733	−	9.55950i	0.221589	−	0.851628i
$127$	15.1201	+	2.17395i	1.34170	+	0.192907i	0.775492	−	0.631358i	$-0.217502\pi$
$127$	15.1201	+	2.17395i	1.34170	+	0.192907i	0.566205	+	0.824265i	$0.308411\pi$
$128$	11.2617	−	1.08390i	0.995400	−	0.0958041i
$129$	−5.10636	−	5.12200i	−0.449590	−	0.450967i
$130$	28.1376	−	9.31533i	2.46783	−	0.817009i
$131$	1.46413	+	1.68970i	0.127922	+	0.147630i	0.816097	−	0.577915i	$-0.196133\pi$
$131$	1.46413	+	1.68970i	0.127922	+	0.147630i	−0.688175	+	0.725545i	$0.741588\pi$
$132$	−7.87011	+	8.99654i	−0.685005	+	0.783048i
$133$	11.8909			1.03107
$134$	−2.85708	−	11.2177i	−0.246814	−	0.969063i
$135$	13.2776	+	10.0349i	1.14276	+	0.863665i
$136$	18.7062	−	1.92076i	1.60404	−	0.164704i
$137$	−3.70622	+	3.21146i	−0.316644	+	0.274374i	−0.798652	−	0.601793i	$-0.794453\pi$
$137$	−3.70622	+	3.21146i	−0.316644	+	0.274374i	0.482008	+	0.876167i	$0.339908\pi$
$138$	6.39290	−	0.667128i	0.544200	−	0.0567897i
$139$	−9.06037	+	14.0982i	−0.768490	+	1.19579i	0.207554	+	0.978224i	$0.433450\pi$
$139$	−9.06037	+	14.0982i	−0.768490	+	1.19579i	−0.976045	+	0.217571i	$0.930187\pi$
$140$	−3.12386	−	14.5836i	−0.264014	−	1.23254i
$141$	−15.8221	−	5.92889i	−1.33246	−	0.499303i
$142$	1.47719	−	0.264086i	0.123963	−	0.0221616i
$143$	3.21323	−	22.3485i	0.268703	−	1.86887i
$144$	−11.4815	−	3.48920i	−0.956794	−	0.290766i
$145$	14.7349	+	9.46952i	1.22366	+	0.786401i
$146$	−8.70485	+	14.6181i	−0.720418	+	1.20981i
$147$	−2.67397	+	0.577405i	−0.220545	+	0.0476236i
$148$	−0.137859	+	0.182940i	−0.0113319	+	0.0150376i
$149$	−0.945957	+	0.136008i	−0.0774958	+	0.0111422i	−0.180954	−	0.983492i	$-0.557918\pi$
$149$	−0.945957	+	0.136008i	−0.0774958	+	0.0111422i	0.103458	+	0.994634i	$0.467009\pi$
$150$	12.6702	+	2.32681i	1.03451	+	0.189983i
$151$	3.63178	+	12.3687i	0.295550	+	1.00655i	0.964684	+	0.263410i	$0.0848471\pi$
$151$	3.63178	+	12.3687i	0.295550	+	1.00655i	−0.669134	+	0.743142i	$0.733335\pi$
$152$	0.584567	−	14.4338i	0.0474146	−	1.17073i
$153$	−19.1200	−	5.67772i	−1.54576	−	0.459016i
$154$	−11.0039	−	2.82725i	−0.886720	−	0.227827i
$155$	13.3753	−	8.59576i	1.07433	−	0.690428i
$156$	21.7786	−	6.28341i	1.74368	−	0.503075i
$157$	1.75704	+	2.02773i	0.140227	+	0.161830i	0.821519	−	0.570181i	$-0.193127\pi$
$157$	1.75704	+	2.02773i	0.140227	+	0.161830i	−0.681292	+	0.732012i	$0.738582\pi$
$158$	−3.83605	+	4.74477i	−0.305180	+	0.377473i
$159$	5.31119	+	24.5961i	0.421205	+	1.95060i
$160$	−17.8559	+	3.07496i	−1.41164	+	0.243097i
$161$	3.30299	+	5.13955i	0.260312	+	0.405053i
$162$	9.84863	+	8.06253i	0.773782	+	0.633452i
$163$		−	18.0847i		−	1.41651i	−0.705959	−	0.708253i	$-0.749484\pi$
$163$		−	18.0847i		−	1.41651i	0.705959	−	0.708253i	$-0.250516\pi$
$164$	4.13050	+	1.55560i	0.322538	+	0.121472i
$165$	11.4952	−	15.3070i	0.894902	−	1.19165i
$166$	−11.3751	−	1.24128i	−0.882878	−	0.0963418i
$167$	−1.36486	−	9.49281i	−0.105616	−	0.734576i	−0.971963	−	0.235133i	$-0.924447\pi$
$167$	−1.36486	−	9.49281i	−0.105616	−	0.734576i	0.866347	−	0.499442i	$-0.166462\pi$
$168$	−1.95432	−	11.2372i	−0.150779	−	0.866970i
$169$	−19.5251	+	22.5332i	−1.50193	+	1.73332i
$170$	−29.6453	+	5.29986i	−2.27369	+	0.406481i
$171$	−6.40752	+	13.9177i	−0.489996	+	1.06432i
$172$	−7.81554	−	2.94344i	−0.595929	−	0.224435i
$173$	10.5926	+	4.83747i	0.805340	+	0.367786i	0.775165	−	0.631758i	$-0.217667\pi$
$173$	10.5926	+	4.83747i	0.805340	+	0.367786i	0.0301742	+	0.999545i	$0.490394\pi$
$174$	10.9790	+	7.67375i	0.832314	+	0.581745i
$175$	3.44961	+	11.7483i	0.260766	+	0.888087i
$176$	−3.97283	+	13.2181i	−0.299463	+	0.996352i
$177$	0.534009	+	7.63036i	0.0401386	+	0.573533i
$178$	−10.2736	−	2.63962i	−0.770040	−	0.197848i
$179$	−6.84686	+	7.90170i	−0.511759	+	0.590601i	−0.951548	−	0.307500i	$-0.900508\pi$
$179$	−6.84686	+	7.90170i	−0.511759	+	0.590601i	0.439790	+	0.898101i	$0.355053\pi$
$180$	18.7528	+	4.20221i	1.39775	+	0.313214i
$181$	11.5365	+	13.3139i	0.857503	+	0.989612i	1.00000		0.000183706i	$-5.84753e-5\pi$
$181$	11.5365	+	13.3139i	0.857503	+	0.989612i	−0.142497	+	0.989795i	$0.545513\pi$
$182$	14.6558	+	15.7918i	1.08636	+	1.17057i
$183$	−7.55247	+	13.7812i	−0.558294	+	1.01873i
$184$	6.40102	−	3.75667i	0.471889	−	0.276945i
$185$	0.198334	−	0.308614i	0.0145818	−	0.0226898i
$186$	10.4762	−	6.17169i	0.768153	−	0.452530i
$187$	−6.46315	+	22.0115i	−0.472633	+	1.60964i
$188$	−19.4649	+	1.32986i	−1.41963	+	0.0969897i
$189$	−2.62576	+	11.8094i	−0.190996	+	0.859007i
$190$	0.788901	+	23.1210i	0.0572329	+	1.67737i
$191$	2.33476	−	2.69446i	0.168937	−	0.194964i	−0.664968	−	0.746872i	$-0.731555\pi$
$191$	2.33476	−	2.69446i	0.168937	−	0.194964i	0.833905	+	0.551908i	$0.186100\pi$
$192$	−13.7364	+	1.81982i	−0.991338	+	0.131334i
$193$	−0.140362	+	0.307349i	−0.0101035	+	0.0221235i	−0.914616	−	0.404323i	$-0.867507\pi$
$193$	−0.140362	+	0.307349i	−0.0101035	+	0.0221235i	0.904513	+	0.426446i	$0.140235\pi$
$194$	15.1517	−	7.55424i	1.08783	−	0.542363i
$195$	−34.0314	+	12.6338i	−2.43704	+	0.904726i
$196$	−2.53476	+	1.88493i	−0.181054	+	0.134638i
$197$	3.02012	−	10.2856i	0.215174	−	0.732817i	−0.779189	−	0.626789i	$-0.784369\pi$
$197$	3.02012	−	10.2856i	0.215174	−	0.732817i	0.994363	−	0.106027i	$-0.0338131\pi$
$198$	9.23873	−	11.3561i	0.656568	−	0.807040i
$199$	3.87046	+	0.556488i	0.274370	+	0.0394484i	0.278126	−	0.960545i	$-0.410287\pi$
$199$	3.87046	+	0.556488i	0.274370	+	0.0394484i	−0.00375648	+	0.999993i	$0.501196\pi$
$200$	14.4302	−	3.60975i	1.02037	−	0.255248i
$201$	3.98820	+	13.6049i	0.281306	+	0.959618i
$202$	6.16329	−	4.26472i	0.433647	−	0.300064i
$203$	−1.81192	+	12.6022i	−0.127172	+	0.884500i
$204$	−22.8116	+	3.17012i	−1.59713	+	0.221953i
$205$	−6.78220	−	1.99143i	−0.473689	−	0.139088i
$206$	14.3354	−	0.489132i	0.998796	−	0.0340794i
$207$	−7.79545	+	1.09650i	−0.541821	+	0.0762118i
$208$	19.8894	−	17.0136i	1.37908	−	1.17968i
$209$	16.0304	+	7.32086i	1.10885	+	0.506395i
$210$	4.46213	+	17.7130i	0.307916	+	1.22232i
$211$	0.175578	+	0.152139i	0.0120873	+	0.0104737i	0.660883	−	0.750489i	$-0.270182\pi$
$211$	0.175578	+	0.152139i	0.0120873	+	0.0104737i	−0.648796	+	0.760962i	$0.724727\pi$
$212$	17.3383	+	23.3157i	1.19080	+	1.60133i
$213$	−1.79646	+	0.387920i	−0.123091	+	0.0265798i
$214$	−8.81938	+	14.8105i	−0.602881	+	1.01242i
$215$	12.8330	+	3.76810i	0.875201	+	0.256982i
$216$	14.2058	+	3.76785i	0.966579	+	0.256369i
$217$	9.72237	+	6.24819i	0.659997	+	0.424155i
$218$	15.1709	+	12.2654i	1.02750	+	0.830717i
$219$	10.0142	−	18.2732i	0.676700	−	1.23479i
$220$	4.76734	−	21.5839i	0.321414	−	1.45519i
$221$	32.8774	−	28.4884i	2.21157	−	1.91634i
$222$	0.160723	−	0.229949i	0.0107870	−	0.0154332i
$223$	15.6373	+	13.5498i	1.04715	+	0.907363i	0.995822	−	0.0913187i	$-0.0291082\pi$
$223$	15.6373	+	13.5498i	1.04715	+	0.907363i	0.0513310	+	0.998682i	$0.483654\pi$
$224$	−7.42499	−	10.8779i	−0.496103	−	0.726811i
$225$	−15.6097	−	2.29307i	−1.04065	−	0.152872i
$226$	1.99329	+	1.18697i	0.132592	+	0.0789560i
$227$	−21.3504	+	6.26904i	−1.41707	+	0.416091i	−0.898512	−	0.438949i	$-0.855351\pi$
$227$	−21.3504	+	6.26904i	−1.41707	+	0.416091i	−0.518563	+	0.855040i	$0.673533\pi$
$228$	−0.0834046	+	17.6920i	−0.00552361	+	1.17168i
$229$	0.926009	−	2.02768i	0.0611924	−	0.133993i	−0.876565	−	0.481283i	$-0.840171\pi$
$229$	0.926009	−	2.02768i	0.0611924	−	0.133993i	0.937758	+	0.347290i	$0.112898\pi$
$230$	−9.77436	+	6.76341i	−0.644502	+	0.445966i
$231$	13.5922	+	2.97857i	0.894299	+	0.195975i
$232$	15.2081	+	2.81894i	0.998460	+	0.185072i
$233$	4.44693	+	3.85329i	0.291328	+	0.252437i	0.788246	−	0.615360i	$-0.210989\pi$
$233$	4.44693	+	3.85329i	0.291328	+	0.252437i	−0.496918	+	0.867798i	$0.665535\pi$
$234$	−26.3810	+	8.64437i	−1.72458	+	0.565100i
$235$	30.9275	−	4.44671i	2.01749	−	0.290071i
$236$	4.20817	+	7.76540i	0.273929	+	0.505484i
$237$	4.48740	−	5.97540i	0.291488	−	0.388144i
$238$	−12.4560	−	18.0012i	−0.807404	−	1.16685i
$239$	1.22767			0.0794116			0.0397058	−	0.999211i	$-0.487358\pi$
$239$	1.22767			0.0794116			0.0397058	+	0.999211i	$0.487358\pi$
$240$	21.7203	−	4.54558i	1.40204	−	0.293416i
$241$	16.6921	−	10.7274i	1.07523	−	0.691011i	0.121782	−	0.992557i	$-0.461139\pi$
$241$	16.6921	−	10.7274i	1.07523	−	0.691011i	0.953452	+	0.301546i	$0.0975028\pi$
$242$	−0.996764	−	0.805865i	−0.0640744	−	0.0518029i
$243$	−12.4074	−	9.43694i	−0.795937	−	0.605380i
$244$	−1.35217	+	18.0956i	−0.0865641	+	1.15845i
$245$	3.82317	−	3.31279i	0.244253	−	0.211647i
$246$	−5.12370	−	1.72311i	−0.326675	−	0.109862i
$247$	−18.0676	−	28.1138i	−1.14962	−	1.78884i
$248$	8.06233	−	11.4943i	0.511958	−	0.729891i
$249$	13.9770	+	1.02114i	0.885758	+	0.0647120i
$250$	−1.11404	+	0.368817i	−0.0704578	+	0.0233260i
$251$	−0.998379	+	0.293151i	−0.0630171	+	0.0185035i	−0.313089	−	0.949724i	$-0.601364\pi$
$251$	−0.998379	+	0.293151i	−0.0630171	+	0.0185035i	0.250072	+	0.968227i	$0.419546\pi$
$252$	2.88411	+	13.6683i	0.181682	+	0.861025i
$253$	1.28859	+	8.96232i	0.0810128	+	0.563456i
$254$	−20.5083	+	6.78957i	−1.28681	+	0.426015i
$255$	36.0526	−	7.78505i	2.25770	−	0.487519i
$256$	−13.5692	+	8.47806i	−0.848073	+	0.529879i
$257$	−9.68699	+	15.0732i	−0.604258	+	0.940243i	0.395505	+	0.918464i	$0.370570\pi$
$257$	−9.68699	+	15.0732i	−0.604258	+	0.940243i	−0.999763	+	0.0217796i	$0.993067\pi$
$258$	9.69482	+	3.26040i	0.603573	+	0.202983i
$259$	0.263946	+	0.0379498i	0.0164008	+	0.00235808i
$260$	−29.7337	+	29.5449i	−1.84401	+	1.83230i
$261$	−13.7739	−	8.91158i	−0.852583	−	0.551613i
$262$	−2.91928	−	1.21465i	−0.180353	−	0.0750416i
$263$	3.74261	+	2.40523i	0.230779	+	0.148313i	0.650920	−	0.759146i	$-0.274383\pi$
$263$	3.74261	+	2.40523i	0.230779	+	0.148313i	−0.420141	+	0.907459i	$0.638019\pi$
$264$	4.28374	−	16.3524i	0.263646	−	1.00642i
$265$	−30.4723	−	35.1669i	−1.87190	−	2.16029i
$266$	−15.0495	+	7.50329i	−0.922744	+	0.460056i
$267$	12.6901	+	2.78089i	0.776622	+	0.170188i
$268$	10.6945	+	12.3947i	0.653271	+	0.757124i
$269$			0.242119i			0.0147623i	0.999973	+	0.00738113i	$0.00234951\pi$
$269$			0.242119i			0.0147623i	−0.999973	+	0.00738113i	$0.997650\pi$
$270$	−23.1367	−	4.32212i	−1.40806	−	0.263036i
$271$	−8.82387	+	7.64592i	−0.536012	+	0.464457i	−0.880307	−	0.474405i	$-0.842663\pi$
$271$	−8.82387	+	7.64592i	−0.536012	+	0.464457i	0.344295	+	0.938861i	$0.388118\pi$
$272$	−22.4631	+	14.2348i	−1.36203	+	0.863112i
$273$	−18.6297	−	18.6868i	−1.12752	−	1.13097i
$274$	2.66425	−	6.40320i	0.160953	−	0.386831i
$275$	−2.58255	+	17.9620i	−0.155733	+	1.08315i
$276$	−7.67009	+	4.87833i	−0.461685	+	0.293641i
$277$	2.23490	−	15.5441i	0.134282	−	0.933952i	−0.805602	−	0.592457i	$-0.798158\pi$
$277$	2.23490	−	15.5441i	0.134282	−	0.933952i	0.939884	−	0.341494i	$-0.110933\pi$
$278$	2.57096	−	23.5603i	0.154196	−	1.41306i
$279$	−12.5522	+	8.01268i	−0.751481	+	0.479707i
$280$	13.1561	+	16.4863i	0.786228	+	0.985247i
$281$	17.7487	−	8.10554i	1.05880	−	0.483536i	0.191585	−	0.981476i	$-0.438637\pi$
$281$	17.7487	−	8.10554i	1.05880	−	0.483536i	0.867211	+	0.497940i	$0.165910\pi$
$282$	23.7661	−	2.48010i	1.41525	−	0.147688i
$283$	17.7335	−	2.54970i	1.05415	−	0.151564i	0.406615	−	0.913600i	$-0.366709\pi$
$283$	17.7335	−	2.54970i	1.05415	−	0.151564i	0.647535	+	0.762036i	$0.275800\pi$
$284$	−1.70294	+	1.26636i	−0.101051	+	0.0751446i
$285$	−1.97810	−	28.2647i	−0.117172	−	1.67426i
$286$	10.0354	+	30.3125i	0.593404	+	1.79242i
$287$	−0.731221	−	5.08576i	−0.0431626	−	0.300203i
$288$	16.7331	−	2.82894i	0.986008	−	0.166697i
$289$	−22.8833	+	14.7062i	−1.34608	+	0.865070i
$290$	−24.6243	−	2.68706i	−1.44599	−	0.157790i
$291$	−18.2143	+	9.90962i	−1.06774	+	0.580912i
$292$	1.79292	−	23.9940i	0.104923	−	1.40414i
$293$	0.303764	−	0.138724i	0.0177461	−	0.00810435i	−0.406522	−	0.913641i	$-0.633259\pi$
$293$	0.303764	−	0.138724i	0.0177461	−	0.00810435i	0.424268	+	0.905537i	$0.360531\pi$
$294$	3.01991	−	2.41808i	0.176125	−	0.141026i
$295$	−7.64730	−	11.8994i	−0.445243	−	0.692812i
$296$	0.0590412	−	0.318526i	0.00343170	−	0.0185139i
$297$	−10.8105	+	14.3040i	−0.627292	+	0.830001i
$298$	1.11141	−	0.769046i	0.0643823	−	0.0445496i
$299$	7.13276	−	15.6186i	0.412498	−	0.903245i
$300$	−17.5040	+	5.05013i	−1.01059	+	0.291569i
$301$	1.38358	+	9.62303i	0.0797484	+	0.554662i
$302$	−12.4013	−	13.3625i	−0.713615	−	0.768928i
$303$	−7.35687	+	5.48975i	−0.422641	+	0.315378i
$304$	8.36803	+	18.6367i	0.479939	+	1.06889i
$305$		−	29.0608i		−	1.66401i
$306$	27.7816	−	4.87907i	1.58817	−	0.278918i
$307$	−17.8370	−	8.14587i	−1.01801	−	0.464909i	−0.164716	−	0.986341i	$-0.552671\pi$
$307$	−17.8370	−	8.14587i	−1.01801	−	0.464909i	−0.853293	+	0.521432i	$0.825398\pi$
$308$	15.7109	−	3.36533i	0.895213	−	0.191757i
$309$	−17.5246	+	1.22645i	−0.996938	+	0.0697705i
$310$	−11.5041	+	19.3190i	−0.653391	+	1.09725i
$311$	7.34217	−	2.15586i	0.416336	−	0.122247i	−0.0668539	−	0.997763i	$-0.521296\pi$
$311$	7.34217	−	2.15586i	0.416336	−	0.122247i	0.483190	+	0.875515i	$0.339478\pi$
$312$	−23.5988	+	21.6950i	−1.33602	+	1.22824i
$313$	−15.1799	+	17.5185i	−0.858016	+	0.990203i	0.141984	+	0.989869i	$0.454652\pi$
$313$	−15.1799	+	17.5185i	−0.858016	+	0.990203i	−1.00000		0.000334453i	$0.999894\pi$
$314$	−3.50328	−	1.45765i	−0.197702	−	0.0822599i
$315$	−6.23717	−	21.4847i	−0.351425	−	1.21052i
$316$	1.86103	−	8.42572i	0.104691	−	0.473984i
$317$	1.11421	−	3.79466i	0.0625804	−	0.213129i	−0.922267	−	0.386554i	$-0.873665\pi$
$317$	1.11421	−	3.79466i	0.0625804	−	0.213129i	0.984847	+	0.173425i	$0.0554834\pi$
$318$	−22.2425	−	27.7783i	−1.24730	−	1.55773i
$319$	−10.2015	+	15.8738i	−0.571173	+	0.888763i
$320$	20.6587	−	15.1591i	1.15486	−	0.847418i
$321$	10.1460	−	18.5137i	0.566295	−	1.03333i
$322$	−7.42348	−	4.42055i	−0.413694	−	0.246348i
$323$	14.1056	+	30.8869i	0.784855	+	1.71859i
$324$	−17.5523	−	3.98960i	−0.975128	−	0.221645i
$325$	22.5351	−	26.0069i	1.25002	−	1.44260i
$326$	11.4117	+	22.8886i	0.632034	+	1.26768i
$327$	−19.1057	−	14.3480i	−1.05655	−	0.793446i
$328$	−6.20930	+	0.637573i	−0.342851	+	0.0352041i
$329$	12.2791	+	19.1067i	0.676969	+	1.05338i
$330$	−4.88985	+	26.6266i	−0.269177	+	1.46575i
$331$	−1.93504	+	6.59014i	−0.106359	+	0.362227i	−0.995424	−	0.0955546i	$-0.969538\pi$
$331$	−1.93504	+	6.59014i	−0.106359	+	0.362227i	0.889065	+	0.457781i	$0.151356\pi$
$332$	15.1799	−	5.60681i	0.833107	−	0.307714i
$333$	−0.186649	+	0.288487i	−0.0102283	+	0.0158090i
$334$	7.71748	+	11.1532i	0.422282	+	0.610274i
$335$	−18.5587	−	18.5185i	−1.01397	−	1.01177i
$336$	9.56427	+	12.9890i	0.521773	+	0.708607i
$337$	2.23276	−	15.5292i	0.121626	−	0.845929i	−0.834088	−	0.551632i	$-0.814005\pi$
$337$	2.23276	−	15.5292i	0.121626	−	0.845929i	0.955714	−	0.294297i	$-0.0950855\pi$
$338$	10.4929	−	40.8393i	0.570740	−	2.22137i
$339$	−2.49169	−	1.36551i	−0.135330	−	0.0741646i
$340$	34.1757	−	25.4142i	1.85344	−	1.37828i
$341$	9.26018	+	14.4091i	0.501467	+	0.780298i
$342$	−0.672682	−	21.6580i	−0.0363745	−	1.17113i
$343$	18.1696	+	8.29780i	0.981068	+	0.448039i
$344$	11.7489	−	1.20639i	0.633460	−	0.0650440i
$345$	11.6673	−	8.70619i	0.628144	−	0.468726i
$346$	−16.4588	+	0.561583i	−0.884832	+	0.0301909i
$347$	−0.842221	−	1.84421i	−0.0452128	−	0.0990022i	0.885678	−	0.464301i	$-0.153694\pi$
$347$	−0.842221	−	1.84421i	−0.0452128	−	0.0990022i	−0.930890	+	0.365298i	$0.880967\pi$
$348$	−18.7376	−	2.78428i	−1.00444	−	0.149253i
$349$	12.5879	+	3.69613i	0.673812	+	0.197849i	0.600700	−	0.799475i	$-0.294889\pi$
$349$	12.5879	+	3.69613i	0.673812	+	0.197849i	0.0731124	+	0.997324i	$0.476707\pi$
$350$	−11.7792	−	12.6923i	−0.629627	−	0.678430i
$351$	31.9108	−	11.7357i	1.70327	−	0.626403i
$352$	−3.31264	−	19.2362i	−0.176564	−	1.02529i
$353$	−1.41612	+	4.82285i	−0.0753722	+	0.256694i	−0.988556	−	0.150854i	$-0.951798\pi$
$353$	−1.41612	+	4.82285i	−0.0753722	+	0.256694i	0.913184	+	0.407548i	$0.133616\pi$
$354$	−5.49070	−	9.32026i	−0.291828	−	0.495366i
$355$	2.56853	−	2.22564i	0.136323	−	0.118125i
$356$	14.6683	−	3.14198i	0.777416	−	0.166525i
$357$	16.0340	+	21.4873i	0.848610	+	1.13723i
$358$	3.67955	−	14.3211i	0.194470	−	0.756893i
$359$	−22.0212	+	6.46600i	−1.16223	+	0.341262i	−0.805300	−	0.592868i	$-0.797996\pi$
$359$	−22.0212	+	6.46600i	−1.16223	+	0.341262i	−0.356933	+	0.934130i	$0.616178\pi$
$360$	−26.3858	+	6.51479i	−1.39065	+	0.343359i
$361$	6.79745	−	1.99591i	0.357761	−	0.105048i
$362$	−23.0022	−	9.57077i	−1.20897	−	0.503029i
$363$	1.25529	+	0.942697i	0.0658857	+	0.0494788i
$364$	−28.5137	−	10.7386i	−1.49452	−	0.562857i
$365$			38.5333i			2.01693i
$366$	0.862565	−	22.2076i	0.0450870	−	1.16081i
$367$	−17.8822	−	15.4950i	−0.933443	−	0.808833i	0.0483417	−	0.998831i	$-0.484606\pi$
$367$	−17.8822	−	15.4950i	−0.933443	−	0.808833i	−0.981784	+	0.189998i	$0.939152\pi$
$368$	−5.73084	+	8.79368i	−0.298741	+	0.458402i
$369$	6.34667	+	1.88465i	0.330394	+	0.0981109i
$370$	−0.0562792	+	0.515743i	−0.00292581	+	0.0268122i
$371$	14.0510	−	30.7675i	0.729494	−	1.59737i
$372$	−9.36462	+	14.4217i	−0.485533	+	0.747730i
$373$	−8.35473			−0.432592			−0.216296	−	0.976328i	$-0.569398\pi$
$373$	−8.35473			−0.432592			−0.216296	+	0.976328i	$0.569398\pi$
$374$	−5.70952	−	31.9368i	−0.295232	−	1.65141i
$375$	1.34739	−	0.500203i	0.0695787	−	0.0258304i
$376$	23.7963	−	13.9657i	1.22720	−	0.720226i
$377$	32.5486	−	14.8644i	1.67634	−	0.765558i
$378$	−4.12861	−	16.6032i	−0.212353	−	0.853978i
$379$	7.05885	−	6.11653i	0.362589	−	0.314185i	−0.454445	−	0.890775i	$-0.650162\pi$
$379$	7.05885	−	6.11653i	0.362589	−	0.314185i	0.817034	+	0.576590i	$0.195617\pi$
$380$	−15.5881	−	28.7649i	−0.799652	−	1.47561i
$381$	24.8041	−	9.20827i	1.27075	−	0.471754i
$382$	−1.25471	+	4.88345i	−0.0641968	+	0.249859i
$383$	−1.71291	−	11.9136i	−0.0875256	−	0.608754i	−0.985623	−	0.168958i	$-0.945960\pi$
$383$	−1.71291	−	11.9136i	−0.0875256	−	0.608754i	0.898098	−	0.439796i	$-0.144949\pi$
$384$	16.2369	−	10.9710i	0.828585	−	0.559864i
$385$	−24.6893	+	7.24944i	−1.25828	+	0.369465i
$386$	−0.0162946	−	0.477561i	−0.000829375	−	0.0243072i
$387$	−12.0089	−	3.56605i	−0.610445	−	0.181272i
$388$	−14.4096	+	19.1218i	−0.731539	+	0.970761i
$389$	−22.0990	+	10.0923i	−1.12046	+	0.511698i	−0.887509	−	0.460790i	$-0.847566\pi$
$389$	−22.0990	+	10.0923i	−1.12046	+	0.511698i	−0.232954	+	0.972488i	$0.574839\pi$
$390$	35.0991	−	37.4639i	1.77731	−	1.89706i
$391$	−9.43194	+	14.6764i	−0.476994	+	0.742217i
$392$	2.01866	−	3.98509i	0.101958	−	0.201278i
$393$	3.62627	+	1.35885i	0.182921	+	0.0685449i
$394$	2.66796	+	14.9235i	0.134410	+	0.751834i
$395$	−1.96664	+	13.6783i	−0.0989524	+	0.688229i
$396$	−4.52703	+	20.2023i	−0.227492	+	1.01521i
$397$	0.820885	+	0.527551i	0.0411990	+	0.0264770i	0.561078	−	0.827763i	$-0.310387\pi$
$397$	0.820885	+	0.527551i	0.0411990	+	0.0264770i	−0.519879	+	0.854240i	$0.674023\pi$
$398$	−5.24973	+	1.73800i	−0.263145	+	0.0871179i
$399$	18.0914	−	9.84278i	0.905704	−	0.492756i
$400$	−15.9856	+	13.6743i	−0.799280	+	0.683714i
$401$			15.1446i			0.756286i	0.925747	+	0.378143i	$0.123437\pi$
$401$			15.1446i			0.756286i	−0.925747	+	0.378143i	$0.876563\pi$
$402$	−13.6325	−	14.7022i	−0.679925	−	0.733281i
$403$		−	32.4805i		−	1.61797i
$404$	−5.10937	+	9.28667i	−0.254201	+	0.462029i
$405$	28.5078	+	4.27691i	1.41656	+	0.212521i
$406$	−5.65890	−	17.0931i	−0.280846	−	0.848315i
$407$	0.332469	+	0.213665i	0.0164799	+	0.0105910i
$408$	26.8707	−	18.4066i	1.33030	−	0.911260i
$409$	3.03053	−	21.0778i	0.149850	−	1.04223i	−0.766612	−	0.642110i	$-0.778059\pi$
$409$	3.03053	−	21.0778i	0.149850	−	1.04223i	0.916463	−	0.400121i	$-0.131032\pi$
$410$	9.84039	−	1.75922i	0.485982	−	0.0868819i
$411$	−2.98053	+	7.95394i	−0.147019	+	0.392339i
$412$	−17.8347	+	9.66487i	−0.878653	+	0.476154i
$413$	5.55876	−	8.64960i	0.273529	−	0.425619i
$414$	9.17427	−	6.30678i	0.450891	−	0.309961i
$415$	−23.5738	+	10.7658i	−1.15719	+	0.528472i
$416$	−14.4369	+	34.0834i	−0.707825	+	1.67108i
$417$	−2.11501	+	28.9495i	−0.103572	+	1.41767i
$418$	−24.9082	+	0.849881i	−1.21830	+	0.0415690i
$419$	−28.1988	+	8.27992i	−1.37760	+	0.404501i	−0.884934	−	0.465716i	$-0.845797\pi$
$419$	−28.1988	+	8.27992i	−1.37760	+	0.404501i	−0.492669	+	0.870217i	$0.663979\pi$
$420$	−16.8245	−	19.6025i	−0.820954	−	0.956505i
$421$	1.51338	+	10.5258i	0.0737578	+	0.512997i	0.992889	+	0.119045i	$0.0379832\pi$
$421$	1.51338	+	10.5258i	0.0737578	+	0.512997i	−0.919131	+	0.393952i	$0.871108\pi$
$422$	−0.318219	−	0.0817605i	−0.0154906	−	0.00398004i
$423$	−28.9802	+	4.07631i	−1.40907	+	0.198197i
$424$	−36.6564	−	18.5684i	−1.78019	−	0.901763i
$425$	−26.4244	+	22.8969i	−1.28177	+	1.11066i
$426$	2.02887	−	1.62455i	0.0982992	−	0.0787097i
$427$	19.2151	−	8.77524i	0.929884	−	0.424664i
$428$	1.81651	−	24.3097i	0.0878045	−	1.17506i
$429$	−13.6104	−	36.6619i	−0.657115	−	1.77005i
$430$	−18.6195	+	3.32872i	−0.897913	+	0.160525i
$431$	−23.2321			−1.11905			−0.559524	−	0.828814i	$-0.689016\pi$
$431$	−23.2321			−1.11905			−0.559524	+	0.828814i	$0.689016\pi$
$432$	−20.3568	+	4.19529i	−0.979417	+	0.201846i
$433$	6.06991	−	13.2912i	0.291701	−	0.638736i	−0.705874	−	0.708338i	$-0.749445\pi$
$433$	6.06991	−	13.2912i	0.291701	−	0.638736i	0.997575	+	0.0696013i	$0.0221727\pi$
$434$	−16.2476	−	1.77298i	−0.779911	−	0.0851058i
$435$	30.2569	+	2.21052i	1.45070	+	0.105986i
$436$	−26.9404	−	5.95046i	−1.29021	−	0.284975i
$437$	10.1284	+	8.77634i	0.484509	+	0.419829i
$438$	−1.14372	+	29.4463i	−0.0546493	+	1.40700i
$439$			31.3863i			1.49799i	0.662578	+	0.748993i	$0.269462\pi$
$439$			31.3863i			1.49799i	−0.662578	+	0.748993i	$0.730538\pi$
$440$	7.58598	+	30.3255i	0.361648	+	1.44571i
$441$	−3.59036	+	3.09189i	−0.170969	+	0.147233i
$442$	−23.6342	+	56.8019i	−1.12416	+	2.70179i
$443$	34.9383	−	10.2588i	1.65997	−	0.487411i	0.688632	−	0.725111i	$-0.258212\pi$
$443$	34.9383	−	10.2588i	1.65997	−	0.487411i	0.971339	+	0.237700i	$0.0763934\pi$
$444$	−0.0583153	+	0.392449i	−0.00276752	+	0.0186248i
$445$	−23.0508	+	6.76832i	−1.09271	+	0.320849i
$446$	−28.3412	−	7.28175i	−1.34199	−	0.344801i
$447$	−1.32665	+	0.989954i	−0.0627482	+	0.0468232i
$448$	16.2614	+	9.08218i	0.768278	+	0.429092i
$449$	13.1785	−	11.4193i	0.621933	−	0.538908i	−0.285890	−	0.958263i	$-0.592289\pi$
$449$	13.1785	−	11.4193i	0.621933	−	0.538908i	0.907823	+	0.419355i	$0.137744\pi$
$450$	21.2031	−	6.94770i	0.999522	−	0.327518i
$451$	2.14537	−	7.30644i	0.101021	−	0.344047i
$452$	−3.27176	−	0.244478i	−0.153891	−	0.0114993i
$453$	15.7639	+	15.8122i	0.740652	+	0.742920i
$454$	23.0659	−	21.4066i	1.08254	−	1.00466i
$455$	46.8189	+	13.7473i	2.19490	+	0.644482i
$456$	−11.0583	−	22.4442i	−0.517851	−	1.05104i
$457$	−4.31907	−	9.45744i	−0.202037	−	0.442400i	0.781308	−	0.624145i	$-0.214553\pi$
$457$	−4.31907	−	9.45744i	−0.202037	−	0.442400i	−0.983346	+	0.181745i	$0.941825\pi$
$458$	0.107501	+	3.15061i	0.00502317	+	0.147219i
$459$	−33.7900	+	7.18840i	−1.57718	+	0.335526i
$460$	8.10295	−	14.7277i	0.377802	−	0.686683i
$461$	−18.9869	−	8.67104i	−0.884309	−	0.403850i	−0.0791176	−	0.996865i	$-0.525210\pi$
$461$	−18.9869	−	8.67104i	−0.884309	−	0.403850i	−0.805192	+	0.593015i	$0.797938\pi$
$462$	−19.0822	+	4.80704i	−0.887784	+	0.223644i
$463$	−17.2574	−	26.8531i	−0.802021	−	1.24797i	−0.965236	−	0.261379i	$-0.915823\pi$
$463$	−17.2574	−	26.8531i	−0.802021	−	1.24797i	0.163215	−	0.986591i	$-0.447814\pi$
$464$	−21.0266	+	6.02875i	−0.976137	+	0.279877i
$465$	13.2346	−	24.1495i	0.613740	−	1.11991i
$466$	−8.05965	−	2.07078i	−0.373356	−	0.0959271i
$467$	0.706321	−	4.91257i	0.0326847	−	0.227327i	−0.966931	−	0.255037i	$-0.917912\pi$
$467$	0.706321	−	4.91257i	0.0326847	−	0.227327i	0.999616	+	0.0277100i	$0.00882151\pi$
$468$	27.9339	−	27.5873i	1.29125	−	1.27522i
$469$	6.64048	−	17.8629i	0.306629	−	0.824834i
$470$	−36.3369	+	25.1435i	−1.67610	+	1.15978i
$471$	4.35172	+	1.63069i	0.200517	+	0.0751382i
$472$	−10.2261	−	7.17273i	−0.470692	−	0.330152i
$473$	−4.05936	+	13.8249i	−0.186650	+	0.635670i
$474$	−1.90885	+	10.3943i	−0.0876765	+	0.477424i
$475$	14.5214	+	22.5957i	0.666287	+	1.03676i
$476$	27.1237	+	14.9230i	1.24321	+	0.683996i
$477$	28.4404	+	33.0255i	1.30220	+	1.51213i
$478$	−1.55378	+	0.774676i	−0.0710684	+	0.0354329i
$479$	−27.6265	+	31.8827i	−1.26229	+	1.45676i	−0.429598	+	0.903020i	$0.641345\pi$
$479$	−27.6265	+	31.8827i	−1.26229	+	1.45676i	−0.832690	+	0.553739i	$0.813201\pi$
$480$	−24.6216	+	19.4588i	−1.12382	+	0.888169i
$481$	−0.311328	−	0.681714i	−0.0141954	−	0.0310835i
$482$	−14.3570	+	24.1098i	−0.653943	+	1.09817i
$483$	9.27964	+	5.08550i	0.422238	+	0.231398i
$484$	1.77005	+	0.390959i	0.0804566	+	0.0177709i
$485$	20.7308	−	32.2578i	0.941337	−	1.46475i
$486$	21.6581	+	4.11447i	0.982429	+	0.186636i
$487$	2.47804	−	8.43941i	0.112291	−	0.382426i	−0.884102	−	0.467295i	$-0.845229\pi$
$487$	2.47804	−	8.43941i	0.112291	−	0.382426i	0.996392	+	0.0848682i	$0.0270469\pi$
$488$	−9.70720	−	23.7557i	−0.439424	−	1.07537i
$489$	−14.9698	−	27.5151i	−0.676957	−	1.24427i
$490$	−2.74831	+	6.60524i	−0.124156	+	0.298394i
$491$	14.1037	−	16.2765i	0.636490	−	0.734548i	−0.342260	−	0.939605i	$-0.611192\pi$
$491$	14.1037	−	16.2765i	0.636490	−	0.734548i	0.978750	+	0.205057i	$0.0657379\pi$
$492$	7.57202	−	1.05228i	0.341373	−	0.0474406i
$493$	−34.8839	+	10.2428i	−1.57109	+	0.461314i
$494$	40.6071	+	24.1808i	1.82700	+	1.08795i
$495$	4.81895	−	32.8041i	0.216596	−	1.47444i
$496$	−2.95088	+	19.6350i	−0.132498	+	0.881639i
$497$	2.24720	+	1.02626i	0.100801	+	0.0460342i
$498$	−18.3341	+	7.52728i	−0.821572	+	0.337305i
$499$		−	15.1768i		−	0.679408i	−0.940532	−	0.339704i	$-0.889673\pi$
$499$		−	15.1768i		−	0.679408i	0.940532	−	0.339704i	$-0.110327\pi$
$500$	1.17723	−	1.16976i	0.0526474	−	0.0523131i
$501$	−9.93432	−	13.3131i	−0.443833	−	0.594785i
$502$	1.07860	−	1.00101i	0.0481402	−	0.0446772i
$503$	0.805803	+	5.60448i	0.0359290	+	0.249892i	0.999868	−	0.0162307i	$-0.00516662\pi$
$503$	0.805803	+	5.60448i	0.0359290	+	0.249892i	−0.963939	+	0.266122i	$0.914258\pi$
$504$	−12.2751	−	15.4792i	−0.546777	−	0.689498i
$505$	7.05161	−	15.4409i	0.313793	−	0.687110i
$506$	−7.28620	−	10.5299i	−0.323911	−	0.468110i
$507$	−11.0545	+	50.4453i	−0.490948	+	2.24035i
$508$	21.6717	−	21.5341i	0.961527	−	0.955421i
$509$	−10.9854	−	17.0937i	−0.486921	−	0.757664i	0.507668	−	0.861553i	$-0.330508\pi$
$509$	−10.9854	−	17.0937i	−0.486921	−	0.757664i	−0.994589	+	0.103889i	$0.966871\pi$
$510$	−40.7168	+	32.6026i	−1.80297	+	1.44367i
$511$	−25.4784	+	11.6356i	−1.12710	+	0.514728i
$512$	11.8238	−	19.2924i	0.522544	−	0.852612i
$513$	1.77178	+	26.4791i	0.0782260	+	1.16908i
$514$	2.74877	−	25.1898i	0.121243	−	1.11107i
$515$	27.3293	−	17.5635i	1.20427	−	0.773940i
$516$	−14.3274	+	1.99108i	−0.630730	+	0.0876524i
$517$	4.79042	+	33.3181i	0.210683	+	1.46533i
$518$	−0.358006	+	0.118523i	−0.0157299	+	0.00520759i
$519$	20.1204	−	1.40812i	0.883186	−	0.0618096i
$520$	18.9888	−	56.1553i	0.832713	−	2.46257i
$521$	−3.35620	+	0.482548i	−0.147038	+	0.0211408i	−0.215441	−	0.976517i	$-0.569119\pi$
$521$	−3.35620	+	0.482548i	−0.147038	+	0.0211408i	0.0684029	+	0.997658i	$0.478210\pi$
$522$	23.0560	+	2.58729i	1.00913	+	0.113243i
$523$	−17.5854	+	8.03099i	−0.768956	+	0.351170i	−0.760961	−	0.648798i	$-0.775272\pi$
$523$	−17.5854	+	8.03099i	−0.768956	+	0.351170i	−0.00799504	+	0.999968i	$0.502545\pi$
$524$	4.46119	−	0.304791i	0.194888	−	0.0133149i
$525$	14.9732	+	15.0190i	0.653482	+	0.655483i
$526$	−6.25449	−	0.682505i	−0.272709	−	0.0297587i
$527$	−4.69667	+	32.6660i	−0.204590	+	1.42295i
$528$	4.89693	+	23.3993i	0.213112	+	1.01832i
$529$	2.29330	−	15.9503i	0.0997089	−	0.693490i
$530$	60.7575	+	25.2800i	2.63914	+	1.09809i
$531$	7.12856	+	11.1672i	0.309353	+	0.484615i
$532$	14.3125	−	18.9928i	0.620524	−	0.823442i
$533$	−10.9133	+	9.45639i	−0.472706	+	0.409602i
$534$	−17.8158	+	4.48802i	−0.770964	+	0.194216i
$535$			39.0403i			1.68786i
$536$	−21.3565	−	8.93871i	−0.922460	−	0.386093i
$537$	−3.87647	+	17.6896i	−0.167282	+	0.763363i
$538$	−0.152780	−	0.306434i	−0.00658681	−	0.0132113i
$539$	3.56886	+	4.11869i	0.153722	+	0.177404i
$540$	32.0099	−	9.12933i	1.37749	−	0.392864i
$541$	−16.0573	−	10.3194i	−0.690358	−	0.443666i	0.147855	−	0.989009i	$-0.452763\pi$
$541$	−16.0573	−	10.3194i	−0.690358	−	0.443666i	−0.838213	+	0.545343i	$0.816399\pi$
$542$	6.34310	−	15.2449i	0.272460	−	0.654824i
$543$	28.5729	+	10.7069i	1.22618	+	0.459479i
$544$	19.4478	−	32.1905i	0.833816	−	1.38016i
$545$	43.7349	+	6.28813i	1.87340	+	0.269354i
$546$	35.3699	+	11.8950i	1.51369	+	0.509059i
$547$	6.33650	−	9.85979i	0.270929	−	0.421574i	−0.678953	−	0.734182i	$-0.737566\pi$
$547$	6.33650	−	9.85979i	0.270929	−	0.421574i	0.949882	+	0.312607i	$0.101202\pi$
$548$	0.668535	+	9.78527i	0.0285584	+	0.418006i
$549$	−0.0832337	+	27.2190i	−0.00355233	+	1.16168i
$550$	−8.06568	−	24.3629i	−0.343922	−	1.03884i
$551$	3.97471	+	27.6447i	0.169328	+	1.17771i
$552$	6.62923	−	11.0141i	0.282159	−	0.468791i
$553$	−9.63798	+	2.82997i	−0.409849	+	0.120342i
$554$	6.97992	+	21.0833i	0.296548	+	0.895743i
$555$	0.0462981	−	0.633714i	0.00196525	−	0.0268997i
$556$	11.6130	+	31.4410i	0.492499	+	1.33340i
$557$	−20.7909	−	32.3513i	−0.880940	−	1.37077i	−0.928277	−	0.371890i	$-0.878710\pi$
$557$	−20.7909	−	32.3513i	−0.880940	−	1.37077i	0.0473369	−	0.998879i	$-0.484927\pi$
$558$	10.8304	−	18.0617i	0.458487	−	0.764613i
$559$	20.6496	−	17.8929i	0.873383	−	0.756791i
$560$	−27.0539	−	12.5640i	−1.14323	−	0.530925i
$561$	8.38681	+	38.8393i	0.354091	+	1.63980i
$562$	−17.3486	+	21.4582i	−0.731806	+	0.905161i
$563$	13.4352	−	8.63430i	0.566227	−	0.363892i	−0.225992	−	0.974129i	$-0.572562\pi$
$563$	13.4352	−	8.63430i	0.566227	−	0.363892i	0.792219	+	0.610237i	$0.208926\pi$
$564$	−28.5142	+	18.1356i	−1.20066	+	0.763646i
$565$	5.25430			0.221050
$566$	−20.8353	+	14.4171i	−0.875771	+	0.605994i
$567$	5.78035	+	20.1409i	0.242752	+	0.845839i
$568$	1.35621	−	2.67732i	0.0569051	−	0.112338i
$569$	3.83570	−	0.551491i	0.160801	−	0.0231197i	−0.0614440	−	0.998111i	$-0.519571\pi$
$569$	3.83570	−	0.551491i	0.160801	−	0.0231197i	0.222245	+	0.974991i	$0.428661\pi$
$570$	20.3389	+	34.5245i	0.851902	+	1.44607i
$571$	−18.5056	−	16.0352i	−0.774435	−	0.671052i	0.175157	−	0.984541i	$-0.443957\pi$
$571$	−18.5056	−	16.0352i	−0.774435	−	0.671052i	−0.949592	+	0.313489i	$0.898502\pi$
$572$	−31.8286	−	32.0321i	−1.33082	−	1.33933i
$573$	1.32187	−	6.03210i	0.0552218	−	0.251995i
$574$	4.13463	+	5.97529i	0.172576	+	0.249404i
$575$	−5.73278	+	12.5530i	−0.239073	+	0.523498i
$576$	−19.3929	+	14.1392i	−0.808036	+	0.589132i
$577$	−12.2047	+	3.58361i	−0.508086	+	0.149188i	−0.525721	−	0.850657i	$-0.676205\pi$
$577$	−12.2047	+	3.58361i	−0.508086	+	0.149188i	0.0176350	+	0.999844i	$0.494386\pi$
$578$	19.6820	−	33.0522i	0.818665	−	1.37479i
$579$	0.0408573	+	0.583803i	0.00169797	+	0.0242620i
$580$	32.8608	−	12.1374i	1.36447	−	0.503977i
$581$	−14.2368	−	12.3362i	−0.590641	−	0.511794i
$582$	16.7995	−	24.0353i	0.696361	−	0.996297i
$583$	37.8852	−	32.8277i	1.56905	−	1.35959i
$584$	12.8713	+	31.4990i	0.532619	+	1.30344i
$585$	−41.3194	+	47.3915i	−1.70835	+	1.95940i
$586$	−0.296916	+	0.367252i	−0.0122655	+	0.0151710i
$587$	−21.0277	−	13.5137i	−0.867905	−	0.557769i	0.0292060	−	0.999573i	$-0.490702\pi$
$587$	−21.0277	−	13.5137i	−0.867905	−	0.557769i	−0.897111	+	0.441805i	$0.854338\pi$
$588$	−2.29625	+	4.96600i	−0.0946958	+	0.204794i
$589$	24.3251	+	7.14248i	1.00230	+	0.294301i
$590$	17.1873	+	10.2348i	0.707592	+	0.421359i
$591$	−3.91901	−	18.1489i	−0.161206	−	0.746547i
$592$	0.126269	+	0.440392i	0.00518963	+	0.0181000i
$593$	−1.95614	−	1.69500i	−0.0803288	−	0.0696053i	0.613771	−	0.789484i	$-0.289652\pi$
$593$	−1.95614	−	1.69500i	−0.0803288	−	0.0696053i	−0.694100	+	0.719879i	$0.744197\pi$
$594$	4.65621	−	24.9251i	0.191047	−	1.02269i
$595$	−45.0984	−	20.5958i	−1.84886	−	0.844344i
$596$	−0.921361	+	1.67464i	−0.0377404	+	0.0685960i
$597$	6.34936	−	2.35714i	0.259862	−	0.0964712i
$598$	0.828044	+	24.2682i	0.0338612	+	0.992402i
$599$	−8.00541	−	2.35060i	−0.327092	−	0.0960429i	0.114064	−	0.993473i	$-0.463613\pi$
$599$	−8.00541	−	2.35060i	−0.327092	−	0.0960429i	−0.441156	+	0.897431i	$0.645431\pi$
$600$	18.9669	−	17.4368i	0.774322	−	0.711855i
$601$	−3.41259	+	23.7351i	−0.139203	+	0.968175i	0.793767	+	0.608221i	$0.208117\pi$
$601$	−3.41259	+	23.7351i	−0.139203	+	0.968175i	−0.932970	+	0.359954i	$0.882792\pi$
$602$	−7.82335	−	11.3062i	−0.318856	−	0.460805i
$603$	17.3294	+	17.3980i	0.705710	+	0.708501i
$604$	24.1274	+	9.08670i	0.981730	+	0.369733i
$605$	−2.87348	−	0.413145i	−0.116824	−	0.0167967i
$606$	5.84699	−	11.5903i	0.237518	−	0.470823i
$607$	−4.75301	+	16.1873i	−0.192919	+	0.657021i	0.805044	+	0.593215i	$0.202142\pi$
$607$	−4.75301	+	16.1873i	−0.192919	+	0.657021i	−0.997962	+	0.0638051i	$0.979676\pi$
$608$	−22.3508	−	18.3069i	−0.906445	−	0.742443i
$609$	7.67481	+	20.6734i	0.310999	+	0.837730i
$610$	18.3377	+	36.7802i	0.742471	+	1.48919i
$611$	26.5166	−	58.0633i	1.07275	−	2.34899i
$612$	−32.0826	+	23.7056i	−1.29686	+	0.958244i
$613$	−3.25447	+	3.75586i	−0.131447	+	0.151698i	−0.817657	−	0.575705i	$-0.804728\pi$
$613$	−3.25447	+	3.75586i	−0.131447	+	0.151698i	0.686210	+	0.727403i	$0.259273\pi$
$614$	27.7152	−	0.945655i	1.11849	−	0.0381635i
$615$	−11.9672	+	2.58415i	−0.482565	+	0.104203i
$616$	−17.7607	+	14.1730i	−0.715598	+	0.571048i
$617$	−11.0090	+	37.4933i	−0.443206	+	1.50942i	0.370882	+	0.928680i	$0.379056\pi$
$617$	−11.0090	+	37.4933i	−0.443206	+	1.50942i	−0.814088	+	0.580742i	$0.802763\pi$
$618$	21.4058	−	12.6104i	0.861066	−	0.507267i
$619$	−2.24939	+	3.50012i	−0.0904107	+	0.140682i	−0.883513	−	0.468407i	$-0.844828\pi$
$619$	−2.24939	+	3.50012i	−0.0904107	+	0.140682i	0.793102	+	0.609089i	$0.208465\pi$
$620$	2.36949	−	31.7100i	0.0951610	−	1.27350i
$621$	−10.9528	+	8.12101i	−0.439519	+	0.325885i
$622$	−7.93212	+	7.36151i	−0.318049	+	0.295170i
$623$	−11.4357	−	13.1975i	−0.458162	−	0.528747i
$624$	16.1776	−	42.3490i	0.647621	−	1.69532i
$625$	15.4793	−	17.8641i	0.619172	−	0.714563i
$626$	8.15775	−	31.7506i	0.326049	−	1.26901i
$627$	30.4495	−	2.13100i	1.21603	−	0.0851039i
$628$	5.35366	−	0.365765i	0.213634	−	0.0145956i
$629$	0.214531	+	0.730625i	0.00855391	+	0.0291319i
$630$	21.4510	+	23.2560i	0.854629	+	0.926539i
$631$	−36.9950	−	16.8951i	−1.47275	−	0.672582i	−0.492493	−	0.870317i	$-0.663914\pi$
$631$	−36.9950	−	16.8951i	−1.47275	−	0.672582i	−0.980256	+	0.197735i	$0.936641\pi$
$632$	2.96135	+	11.8382i	0.117796	+	0.470898i
$633$	0.393068	+	0.0861364i	0.0156231	+	0.00342361i
$634$	0.984291	+	5.50573i	0.0390912	+	0.218660i
$635$	−32.0407	+	36.9769i	−1.27150	+	1.46739i
$636$	45.6792	+	21.1218i	1.81130	+	0.837534i
$637$	−1.47076	−	10.2294i	−0.0582738	−	0.405303i
$638$	2.89476	−	26.5277i	0.114605	−	1.05024i
$639$	−2.41212	+	2.07723i	−0.0954220	+	0.0821741i
$640$	−16.5808	+	32.2217i	−0.655414	+	1.27367i
$641$		−	41.6879i		−	1.64657i	−0.567625	−	0.823287i	$-0.692138\pi$
$641$		−	41.6879i		−	1.64657i	0.567625	−	0.823287i	$-0.307862\pi$
$642$	−1.15877	+	29.8337i	−0.0457331	+	1.17744i
$643$	−25.3626	−	39.4649i	−1.00020	−	1.55634i	−0.819718	−	0.572767i	$-0.805870\pi$
$643$	−25.3626	−	39.4649i	−1.00020	−	1.55634i	−0.180484	−	0.983578i	$-0.557766\pi$
$644$	12.1848	+	0.910494i	0.480149	+	0.0358785i
$645$	22.6438	−	4.88961i	0.891599	−	0.192528i
$646$	−37.3425	−	30.1907i	−1.46922	−	1.18784i
$647$	7.41572	+	8.55819i	0.291542	+	0.336457i	0.882559	−	0.470202i	$-0.155819\pi$
$647$	7.41572	+	8.55819i	0.291542	+	0.336457i	−0.591017	+	0.806659i	$0.701273\pi$
$648$	24.7322	−	6.02633i	0.971574	−	0.236737i
$649$	12.8192	−	8.23842i	0.503199	−	0.323386i
$650$	−12.1105	+	47.1350i	−0.475013	+	1.84879i
$651$	19.9641	+	1.45854i	0.782455	+	0.0571649i
$652$	−28.8860	−	21.7677i	−1.13126	−	0.852488i
$653$	−8.90672	−	30.3335i	−0.348547	−	1.18704i	−0.928170	−	0.372157i	$-0.878618\pi$
$653$	−8.90672	−	30.3335i	−0.348547	−	1.18704i	0.579623	−	0.814885i	$-0.303200\pi$
$654$	33.2346	+	6.10336i	1.29957	+	0.238660i
$655$	−7.08831	+	1.01915i	−0.276963	+	0.0398213i
$656$	7.45637	−	4.72507i	0.291122	−	0.184483i
$657$	0.110364	−	36.0912i	0.00430572	−	1.40805i
$658$	−27.5974	−	16.4338i	−1.07586	−	0.640654i
$659$	26.9132	+	17.2960i	1.04839	+	0.673758i	0.947047	−	0.321094i	$-0.104050\pi$
$659$	26.9132	+	17.2960i	1.04839	+	0.673758i	0.101341	+	0.994852i	$0.467687\pi$
$660$	−10.6130	−	36.7851i	−0.413109	−	1.43186i
$661$	1.96013	−	13.6330i	0.0762403	−	0.530263i	−0.915532	−	0.402246i	$-0.868230\pi$
$661$	1.96013	−	13.6330i	0.0762403	−	0.530263i	0.991772	−	0.128017i	$-0.0408612\pi$
$662$	−1.70940	−	9.56172i	−0.0664379	−	0.371627i
$663$	26.4399	−	70.5583i	1.02684	−	2.74026i
$664$	−15.6743	+	16.6749i	−0.608279	+	0.647111i
$665$	−20.5910	+	32.0402i	−0.798484	+	1.24247i
$666$	0.0541896	−	0.482896i	0.00209980	−	0.0187118i
$667$	−10.8447	+	9.39698i	−0.419908	+	0.363852i
$668$	−16.8053	−	9.24598i	−0.650215	−	0.357738i
$669$	35.0074	+	7.67147i	1.35346	+	0.296596i
$670$	35.1738	+	11.7268i	1.35888	+	0.453047i
$671$	31.3071			1.20860
$672$	−20.3010	−	10.4041i	−0.783130	−	0.401348i
$673$	−16.8970	−	19.5002i	−0.651333	−	0.751679i	0.330003	−	0.943980i	$-0.392950\pi$
$673$	−16.8970	−	19.5002i	−0.651333	−	0.751679i	−0.981336	+	0.192301i	$0.938405\pi$
$674$	6.97324	+	21.0631i	0.268599	+	0.811322i
$675$	−25.6475	+	9.43224i	−0.987172	+	0.363047i
$676$	12.4899	+	58.3087i	0.480381	+	2.24264i
$677$	31.0338	+	4.46198i	1.19273	+	0.171488i	0.709947	−	0.704255i	$-0.248719\pi$
$677$	31.0338	+	4.46198i	1.19273	+	0.171488i	0.482778	+	0.875743i	$0.339628\pi$
$678$	4.01522	+	0.155955i	0.154203	+	0.00598942i
$679$	27.5889	+	3.96668i	1.05876	+	0.152227i
$680$	−27.2173	+	53.7303i	−1.04373	+	2.06046i
$681$	−27.2943	+	27.2110i	−1.04592	+	1.04273i
$682$	−20.8123	−	12.3934i	−0.796945	−	0.474567i
$683$	9.93341	+	21.7511i	0.380091	+	0.832284i	0.998907	+	0.0467475i	$0.0148856\pi$
$683$	9.93341	+	21.7511i	0.380091	+	0.832284i	−0.618815	+	0.785536i	$0.712387\pi$
$684$	14.5178	+	26.9865i	0.555101	+	1.03186i
$685$	−2.23541	−	15.5476i	−0.0854108	−	0.594045i
$686$	−28.2321	+	0.963293i	−1.07791	+	0.0367787i
$687$	−0.269548	−	3.85152i	−0.0102839	−	0.146945i
$688$	−14.1086	+	8.94056i	−0.537885	+	0.340856i
$689$	−94.0938	+	13.5287i	−3.58469	+	0.515401i
$690$	−9.27274	+	18.3810i	−0.353007	+	0.699753i
$691$	24.2048	+	37.6634i	0.920793	+	1.43278i	0.901408	+	0.432970i	$0.142534\pi$
$691$	24.2048	+	37.6634i	0.920793	+	1.43278i	0.0193851	+	0.999812i	$0.493829\pi$
$692$	20.4764	−	11.0965i	0.778398	−	0.421824i
$693$	23.1454	−	6.71928i	0.879220	−	0.255244i
$694$	2.22966	+	1.80264i	0.0846366	+	0.0684271i
$695$	−22.2984	−	48.8266i	−0.845826	−	1.85210i
$696$	25.4718	−	8.29975i	0.965505	−	0.314601i
$697$	12.3430	−	7.93235i	0.467523	−	0.300459i
$698$	−18.2639	+	3.26514i	−0.691298	+	0.123587i
$699$	9.95539	+	2.18161i	0.376547	+	0.0825160i
$700$	22.9171	+	8.63090i	0.866186	+	0.326217i
$701$	−17.4120	−	7.95181i	−0.657643	−	0.300336i	0.0585017	−	0.998287i	$-0.481368\pi$
$701$	−17.4120	−	7.95181i	−0.657643	−	0.300336i	−0.716145	+	0.697952i	$0.754095\pi$
$702$	−32.9820	+	34.9891i	−1.24482	+	1.32058i
$703$	0.579005	−	0.0832484i	0.0218376	−	0.00313977i
$704$	16.3308	+	22.2556i	0.615491	+	0.838789i
$705$	43.3739	−	32.3660i	1.63356	−	1.21897i
$706$	−1.25099	−	6.99753i	−0.0470816	−	0.263356i
$707$	12.3389			0.464052
$708$	12.8304	+	8.33133i	0.482196	+	0.313110i
$709$	−15.3471	+	33.6055i	−0.576373	+	1.26208i	0.366962	+	0.930236i	$0.380398\pi$
$709$	−15.3471	+	33.6055i	−0.576373	+	1.26208i	−0.943334	+	0.331844i	$0.892329\pi$
$710$	−1.84641	+	4.43762i	−0.0692944	+	0.166541i
$711$	1.88118	−	12.8058i	0.0705497	−	0.480254i
$712$	−16.5820	+	13.2324i	−0.621436	+	0.495906i
$713$	3.66972	+	12.4979i	0.137432	+	0.468050i
$714$	−33.8519	−	17.0774i	−1.26688	−	0.639106i
$715$	54.6541	+	47.3581i	2.04395	+	1.77109i
$716$	4.37982	+	20.4471i	0.163682	+	0.764143i
$717$	1.86785	−	1.01622i	0.0697560	−	0.0379513i
$718$	23.7906	−	22.0792i	0.887857	−	0.823988i
$719$	−40.8091	−	11.9826i	−1.52192	−	0.446877i	−0.589355	−	0.807874i	$-0.700618\pi$
$719$	−40.8091	−	11.9826i	−1.52192	−	0.446877i	−0.932567	+	0.360997i	$0.882436\pi$
$720$	29.2838	−	24.8951i	1.09134	−	0.927784i
$721$	19.8655	+	12.7668i	0.739828	+	0.475459i
$722$	−7.34363	+	6.81536i	−0.273302	+	0.253641i
$723$	16.5166	−	30.1382i	0.614258	−	1.12085i
$724$	35.1516	−	2.40158i	1.30640	−	0.0892539i
$725$	−26.1601	+	11.9469i	−0.971562	+	0.443698i
$726$	−2.18359	−	0.401005i	−0.0810406	−	0.0148827i
$727$	19.9889	+	17.3204i	0.741346	+	0.642380i	0.941356	−	0.337414i	$-0.109552\pi$
$727$	19.9889	+	17.3204i	0.741346	+	0.642380i	−0.200011	+	0.979794i	$0.564098\pi$
$728$	42.8640	−	4.40130i	1.58865	−	0.163123i
$729$	−26.6888	−	4.08751i	−0.988474	−	0.151389i
$730$	−24.3150	−	48.7690i	−0.899937	−	1.80502i
$731$	−23.3548	+	15.0092i	−0.863808	+	0.555136i
$732$	12.9216	+	28.6509i	0.477594	+	1.05897i
$733$	−13.3423	−	3.91765i	−0.492809	−	0.144702i	0.0258795	−	0.999665i	$-0.491761\pi$
$733$	−13.3423	−	3.91765i	−0.492809	−	0.144702i	−0.518688	+	0.854963i	$0.673580\pi$
$734$	32.4098	+	8.32711i	1.19627	+	0.307359i
$735$	3.07457	−	8.20491i	0.113407	−	0.302643i
$736$	1.70422	−	14.7458i	0.0628184	−	0.543537i
$737$	19.9499	−	19.9932i	0.734864	−	0.736459i
$738$	−9.22178	+	1.61955i	−0.339458	+	0.0596163i
$739$	39.5851	+	5.69148i	1.45616	+	0.209365i	0.824493	−	0.565872i	$-0.191461\pi$
$739$	39.5851	+	5.69148i	1.45616	+	0.209365i	0.631670	+	0.775237i	$0.282370\pi$
$740$	−0.254211	−	0.688254i	−0.00934499	−	0.0253007i
$741$	−50.7604	−	27.8181i	−1.86473	−	1.02192i
$742$	1.63119	+	47.8067i	0.0598828	+	1.75504i
$743$	−5.76185	+	3.70292i	−0.211382	+	0.135847i	−0.642048	−	0.766664i	$-0.721915\pi$
$743$	−5.76185	+	3.70292i	−0.211382	+	0.135847i	0.430666	+	0.902511i	$0.358279\pi$
$744$	2.75191	−	24.1617i	0.100890	−	0.885813i
$745$	1.27160	−	2.78442i	0.0465878	−	0.102013i
$746$	10.5740	−	5.27193i	0.387142	−	0.193019i
$747$	22.1106	−	10.0160i	0.808986	−	0.366466i
$748$	27.3786	+	36.8174i	1.00106	+	1.34618i
$749$	−25.8136	+	11.7887i	−0.943209	+	0.430749i
$750$	−1.38966	+	1.48329i	−0.0507432	+	0.0541621i
$751$	2.65002	−	9.02512i	0.0967004	−	0.329331i	−0.896907	−	0.442218i	$-0.854192\pi$
$751$	2.65002	−	9.02512i	0.0967004	−	0.329331i	0.993608	+	0.112887i	$0.0360098\pi$
$752$	−21.3048	+	32.6912i	−0.776907	+	1.19212i
$753$	−1.27633	+	1.27243i	−0.0465120	+	0.0463700i
$754$	−31.8149	+	39.3515i	−1.15863	+	1.43310i
$755$	−39.6167	−	11.6325i	−1.44180	−	0.423351i
$756$	15.7021	+	18.4084i	0.571081	+	0.669506i
$757$	4.22407	+	4.87483i	0.153526	+	0.177179i	0.827303	−	0.561757i	$-0.189874\pi$
$757$	4.22407	+	4.87483i	0.153526	+	0.177179i	−0.673776	+	0.738935i	$0.735329\pi$
$758$	−5.07431	+	12.1955i	−0.184307	+	0.442960i
$759$	9.37916	+	12.5691i	0.340442	+	0.456229i
$760$	37.8798	+	26.5695i	1.37404	+	0.963777i
$761$	−13.1176	−	44.6745i	−0.475514	−	1.61945i	−0.752511	−	0.658580i	$-0.771157\pi$
$761$	−13.1176	−	44.6745i	−0.475514	−	1.61945i	0.276997	−	0.960871i	$-0.410661\pi$
$762$	−25.5823	+	27.3059i	−0.926750	+	0.989190i
$763$	9.04853	+	30.8165i	0.327579	+	1.11563i
$764$	−1.49351	−	6.97239i	−0.0540332	−	0.252252i
$765$	48.4081	−	41.6874i	1.75020	−	1.50721i
$766$	9.68550	+	13.9973i	0.349951	+	0.505743i
$767$	−28.8966			−1.04340
$768$	−13.6271	+	24.1310i	−0.491724	+	0.870751i
$769$	−22.6020	+	26.0841i	−0.815049	+	0.940617i	−0.999105	−	0.0422988i	$-0.986532\pi$
$769$	−22.6020	+	26.0841i	−0.815049	+	0.940617i	0.184056	+	0.982916i	$0.441077\pi$
$770$	26.6731	−	24.7544i	0.961232	−	0.892085i
$771$	−2.26128	+	30.9517i	−0.0814380	+	1.11470i
$772$	0.321969	+	0.594134i	0.0115879	+	0.0213834i
$773$	23.2742	+	10.6290i	0.837115	+	0.382298i	0.787382	−	0.616465i	$-0.211436\pi$
$773$	23.2742	+	10.6290i	0.837115	+	0.382298i	0.0497327	+	0.998763i	$0.484163\pi$
$774$	17.4490	−	3.06443i	0.627192	−	0.110149i
$775$			26.1054i			0.937733i
$776$	6.17125	−	33.2938i	0.221535	−	1.19518i
$777$	0.432995	−	0.160745i	0.0155336	−	0.00576670i
$778$	21.6008	−	26.7178i	0.774428	−	0.957880i
$779$	−4.68217	−	10.2525i	−0.167756	−	0.367335i
$780$	−20.7824	+	69.5635i	−0.744129	+	2.49077i
$781$	2.39768	+	2.76707i	0.0857957	+	0.0990135i
$782$	2.67640	−	24.5266i	0.0957078	−	0.877068i
$783$	−28.3330	−	2.15708i	−1.01254	−	0.0770878i
$784$	−0.0402462	+	6.31746i	−0.00143736	+	0.225624i
$785$	−8.50634	+	1.22303i	−0.303604	+	0.0436517i
$786$	−5.44698	+	0.568417i	−0.194287	+	0.0202747i
$787$	−1.67756	−	5.71326i	−0.0597987	−	0.203656i	0.924175	−	0.381969i	$-0.124754\pi$
$787$	−1.67756	−	5.71326i	−0.0597987	−	0.203656i	−0.983974	+	0.178314i	$0.942936\pi$
$788$	−12.7935	−	17.2041i	−0.455751	−	0.612872i
$789$	7.68515	+	0.561464i	0.273598	+	0.0199887i
$790$	−6.14211	−	18.5526i	−0.218526	−	0.660073i
$791$	1.58660	+	3.47416i	0.0564129	+	0.123527i
$792$	−7.01836	−	28.4253i	−0.249387	−	1.01005i
$793$	−49.9438	−	32.0969i	−1.77356	−	1.13980i
$794$	−1.37183	−	0.149697i	−0.0486844	−	0.00531256i
$795$	−75.4719	−	28.2811i	−2.67671	−	1.00303i
$796$	5.54753	−	5.51230i	0.196627	−	0.195378i
$797$	11.7002	+	1.68223i	0.414441	+	0.0595876i	0.346382	−	0.938094i	$-0.387410\pi$
$797$	11.7002	+	1.68223i	0.414441	+	0.0595876i	0.0680592	+	0.997681i	$0.478319\pi$
$798$	−16.6862	+	23.8732i	−0.590684	+	0.845103i
$799$	−35.0640	+	54.5606i	−1.24047	+	1.93022i
$800$	11.6033	−	27.3937i	0.410237	−	0.968513i
$801$	21.6093	−	6.27335i	0.763527	−	0.221658i
$802$	−9.55642	−	19.1675i	−0.337449	−	0.676828i
$803$	−41.5118			−1.46492
$804$	26.5310	+	10.0054i	0.935675	+	0.352863i
$805$	−19.5682			−0.689690
$806$	20.4956	+	41.1084i	0.721926	+	1.44798i
$807$	0.200416	+	0.368373i	0.00705498	+	0.0129673i
$808$	0.606591	−	14.9776i	0.0213398	−	0.526909i
$809$	−0.730930	+	1.13735i	−0.0256981	+	0.0399871i	−0.853865	−	0.520495i	$-0.825748\pi$
$809$	−0.730930	+	1.13735i	−0.0256981	+	0.0399871i	0.828167	+	0.560482i	$0.189384\pi$
$810$	−38.7791	+	12.5757i	−1.36256	+	0.441866i
$811$	−4.68662	−	0.673834i	−0.164569	−	0.0236615i	0.0595375	−	0.998226i	$-0.481037\pi$
$811$	−4.68662	−	0.673834i	−0.164569	−	0.0236615i	−0.224107	+	0.974565i	$0.571946\pi$
$812$	17.9480	+	18.0627i	0.629851	+	0.633877i
$813$	−7.09611	+	18.9369i	−0.248872	+	0.664147i
$814$	−0.555609	−	0.0606294i	−0.0194741	−	0.00212506i
$815$	48.7296	+	31.3166i	1.70692	+	1.09697i
$816$	−22.3936	+	40.2516i	−0.783933	+	1.40909i
$817$	8.85939	+	19.3994i	0.309951	+	0.678698i
$818$	9.46480	+	28.5891i	0.330929	+	0.999593i
$819$	−43.8123	−	13.0101i	−1.53093	−	0.454610i
$820$	−11.3442	+	8.43593i	−0.396157	+	0.294595i
$821$	−0.122152	−	0.416012i	−0.00426314	−	0.0145189i	0.957334	−	0.288984i	$-0.0933174\pi$
$821$	−0.122152	−	0.416012i	−0.00426314	−	0.0145189i	−0.961597	+	0.274465i	$0.911499\pi$
$822$	−1.24678	−	11.9475i	−0.0434863	−	0.416717i
$823$	−10.1020	+	1.45245i	−0.352133	+	0.0506291i	−0.316112	−	0.948722i	$-0.602377\pi$
$823$	−10.1020	+	1.45245i	−0.352133	+	0.0506291i	−0.0360212	+	0.999351i	$0.511468\pi$
$824$	16.4735	−	23.4861i	0.573883	−	0.818176i
$825$	10.9390	+	29.4661i	0.380847	+	1.02588i
$826$	−1.57735	+	14.4549i	−0.0548830	+	0.502949i
$827$	−8.41721	−	9.71398i	−0.292695	−	0.337788i	0.590288	−	0.807193i	$-0.299014\pi$
$827$	−8.41721	−	9.71398i	−0.292695	−	0.337788i	−0.882983	+	0.469404i	$0.844469\pi$
$828$	−7.63160	+	13.7711i	−0.265216	+	0.478580i
$829$	16.1180	+	35.2935i	0.559801	+	1.22579i	0.952052	+	0.305935i	$0.0989690\pi$
$829$	16.1180	+	35.2935i	0.559801	+	1.22579i	−0.392252	+	0.919858i	$0.628304\pi$
$830$	23.0424	−	28.5009i	0.799815	−	0.989280i
$831$	−9.46643	−	25.4995i	−0.328387	−	0.884567i
$832$	−3.23528	−	52.2469i	−0.112163	−	1.81134i
$833$			10.5005i			0.363820i
$834$	−15.5907	−	37.9741i	−0.539861	−	1.31493i
$835$	27.9420	+	12.7607i	0.966973	+	0.441602i
$836$	30.9883	−	16.7930i	1.07175	−	0.580798i
$837$	−12.4650	+	22.5811i	−0.430854	+	0.780517i
$838$	30.4646	−	28.2731i	1.05238	−	0.976679i
$839$	29.5723	−	34.1283i	1.02095	−	1.17824i	0.0370885	−	0.999312i	$-0.488192\pi$
$839$	29.5723	−	34.1283i	1.02095	−	1.17824i	0.983862	−	0.178928i	$-0.0572629\pi$
$840$	33.6631	+	14.1931i	1.16149	+	0.489708i
$841$	−0.904060			−0.0311745
$842$	−8.55729	−	12.3668i	−0.294904	−	0.426189i
$843$	20.2943	−	27.0238i	0.698973	−	0.930749i
$844$	0.454340	−	0.0973209i	0.0156390	−	0.00334992i
$845$	−26.9052	−	91.6307i	−0.925567	−	3.15219i
$846$	34.1061	−	23.4459i	1.17259	−	0.806088i
$847$	−0.594509	−	2.02471i	−0.0204276	−	0.0695700i
$848$	58.1104	+	0.370200i	1.99552	+	0.0127127i
$849$	24.8702	−	18.5583i	0.853543	−	0.636920i
$850$	18.9954	−	45.6531i	0.651536	−	1.56589i
$851$	0.196815	+	0.227137i	0.00674673	+	0.00778614i
$852$	−1.54270	+	3.33632i	−0.0528520	+	0.114301i
$853$	33.5987	+	9.86546i	1.15040	+	0.337787i	0.800694	−	0.599074i	$-0.204464\pi$
$853$	33.5987	+	9.86546i	1.15040	+	0.337787i	0.349703	+	0.936861i	$0.386283\pi$
$854$	−18.7820	+	23.2312i	−0.642706	+	0.794954i
$855$	−26.4059	−	41.3660i	−0.903063	−	1.41469i
$856$	13.0407	+	31.9134i	0.445722	+	1.09078i
$857$	13.5042	−	45.9911i	0.461295	−	1.57103i	−0.320347	−	0.947300i	$-0.603800\pi$
$857$	13.5042	−	45.9911i	0.461295	−	1.57103i	0.781642	−	0.623727i	$-0.214382\pi$
$858$	40.3598	+	37.8122i	1.37786	+	1.29089i
$859$	32.7003	−	14.9337i	1.11572	−	0.509532i	0.229738	−	0.973252i	$-0.426213\pi$
$859$	32.7003	−	14.9337i	1.11572	−	0.509532i	0.885982	+	0.463720i	$0.153486\pi$
$860$	21.4650	−	15.9621i	0.731951	−	0.544302i
$861$	−5.32229	−	7.13246i	−0.181383	−	0.243074i
$862$	29.4032	−	14.6597i	1.00148	−	0.499311i
$863$	15.0706	−	33.0001i	0.513010	−	1.12334i	−0.459009	−	0.888432i	$-0.651795\pi$
$863$	15.0706	−	33.0001i	0.513010	−	1.12334i	0.972019	−	0.234903i	$-0.0754773\pi$
$864$	23.1170	−	18.1551i	0.786455	−	0.617648i
$865$	−31.3774	+	20.1650i	−1.06686	+	0.685632i
$866$	0.704657	+	20.6520i	0.0239452	+	0.701784i
$867$	−22.6426	+	41.3166i	−0.768984	+	1.40318i
$868$	21.6823	−	8.00849i	0.735945	−	0.271826i
$869$	−14.7356	−	2.11865i	−0.499870	−	0.0718704i
$870$	−39.6889	+	16.2947i	−1.34558	+	0.552443i
$871$	−52.3234	+	11.4417i	−1.77291	+	0.387687i
$872$	37.8514	−	9.46860i	1.28181	−	0.320647i
$873$	−19.5094	+	30.1540i	−0.660292	+	1.02056i
$874$	−18.3569	−	4.71646i	−0.620930	−	0.159537i
$875$	−1.85367	−	0.544288i	−0.0626656	−	0.0184003i
$876$	−17.1334	−	37.9899i	−0.578884	−	1.28356i
$877$	38.7787	−	24.9216i	1.30946	−	0.841541i	0.315255	−	0.949007i	$-0.397910\pi$
$877$	38.7787	−	24.9216i	1.30946	−	0.841541i	0.994209	+	0.107466i	$0.0342736\pi$
$878$	−19.8051	−	39.7235i	−0.668390	−	1.34060i
$879$	0.347332	−	0.462505i	0.0117152	−	0.0155999i
$880$	−28.7368	−	33.5941i	−0.968718	−	1.13246i
$881$	11.7642	+	10.1937i	0.396344	+	0.343434i	0.830118	−	0.557587i	$-0.188273\pi$
$881$	11.7642	+	10.1937i	0.396344	+	0.343434i	−0.433774	+	0.901022i	$0.642818\pi$
$882$	2.59305	−	6.17875i	0.0873126	−	0.208049i
$883$	−4.45731	+	2.03559i	−0.150001	+	0.0685030i	−0.489001	−	0.872283i	$-0.662639\pi$
$883$	−4.45731	+	2.03559i	−0.150001	+	0.0685030i	0.339000	+	0.940786i	$0.389911\pi$
$884$	−5.93048	−	86.8037i	−0.199464	−	2.91953i
$885$	−21.4849	−	11.7743i	−0.722206	−	0.395789i
$886$	−37.7457	+	35.0304i	−1.26809	+	1.17687i
$887$	18.9618	+	12.1860i	0.636675	+	0.409166i	0.818775	−	0.574114i	$-0.194653\pi$
$887$	18.9618	+	12.1860i	0.636675	+	0.409166i	−0.182101	+	0.983280i	$0.558290\pi$
$888$	−0.173834	−	0.533494i	−0.00583349	−	0.0179029i
$889$	−34.1244	−	10.0198i	−1.14450	−	0.336054i
$890$	24.9029	−	23.1115i	0.834748	−	0.774700i
$891$	−4.60750	+	30.7113i	−0.154357	+	1.02887i
$892$	40.4644	−	8.66759i	1.35485	−	0.290212i
$893$	37.6533	+	32.6268i	1.26002	+	1.09181i
$894$	1.05437	−	2.09005i	0.0352635	−	0.0699016i
$895$	−9.43482	−	32.1320i	−0.315371	−	1.07406i
$896$	−26.3119	−	1.23357i	−0.879018	−	0.0412107i
$897$	−2.07625	−	29.6671i	−0.0693239	−	0.990556i
$898$	−9.47348	+	22.7684i	−0.316134	+	0.759791i
$899$	−11.2764	+	24.6918i	−0.376087	+	0.823517i
$900$	−22.4512	+	22.1726i	−0.748373	+	0.739087i
$901$	96.5875			3.21779
$902$	1.89521	+	10.6010i	0.0631035	+	0.352975i
$903$	10.0706	+	13.4957i	0.335129	+	0.449109i
$904$	4.29511	−	1.75510i	0.142853	−	0.0583737i
$905$	−55.8518	+	8.03027i	−1.85658	+	0.266935i
$906$	−29.9289	−	10.0652i	−0.994322	−	0.334394i
$907$	11.4682	+	5.23735i	0.380795	+	0.173903i	0.596611	−	0.802531i	$-0.296514\pi$
$907$	11.4682	+	5.23735i	0.380795	+	0.173903i	−0.215815	+	0.976434i	$0.569241\pi$
$908$	−15.6851	+	41.6478i	−0.520529	+	1.38213i
$909$	−6.64894	+	14.4421i	−0.220531	+	0.479014i
$910$	−67.9302	+	12.1443i	−2.25186	+	0.402579i
$911$	−21.7990	+	14.0094i	−0.722233	+	0.464151i	−0.849413	−	0.527729i	$-0.823044\pi$
$911$	−21.7990	+	14.0094i	−0.722233	+	0.464151i	0.127180	+	0.991880i	$0.459407\pi$
$912$	28.1582	+	21.4282i	0.932412	+	0.709557i
$913$	−11.5980	−	25.3960i	−0.383837	−	0.840485i
$914$	11.4341	+	9.24425i	0.378206	+	0.305773i
$915$	−24.0553	−	44.2146i	−0.795243	−	1.46169i
$916$	−2.12413	−	3.91968i	−0.0701832	−	0.129510i
$917$	−2.81426	−	4.37908i	−0.0929351	−	0.144610i
$918$	38.2298	−	30.4198i	1.26177	−	1.00400i
$919$	11.8085	−	1.69780i	0.389525	−	0.0560052i	0.0552298	−	0.998474i	$-0.482411\pi$
$919$	11.8085	−	1.69780i	0.389525	−	0.0560052i	0.334295	+	0.942468i	$0.391502\pi$
$920$	−0.961992	+	23.7529i	−0.0317159	+	0.783111i
$921$	−33.8809	+	2.37115i	−1.11641	+	0.0781319i
$922$	29.5020	−	1.00662i	0.971596	−	0.0331514i
$923$	−0.988108	−	6.87244i	−0.0325240	−	0.226209i
$924$	21.1177	−	18.1250i	0.694723	−	0.596270i
$925$	0.250222	+	0.547910i	0.00822726	+	0.0180152i
$926$	38.7862	+	23.0965i	1.27459	+	0.758998i
$927$	−25.6476	+	16.3721i	−0.842378	+	0.537731i
$928$	22.8078	−	20.8982i	0.748702	−	0.686018i
$929$	−26.7694	−	3.84886i	−0.878277	−	0.126277i	−0.311596	−	0.950215i	$-0.600864\pi$
$929$	−26.7694	−	3.84886i	−0.878277	−	0.126277i	−0.566681	+	0.823937i	$0.691773\pi$
$930$	−1.51152	+	38.9156i	−0.0495647	+	1.27609i
$931$	7.98434	+	1.14797i	0.261676	+	0.0376233i
$932$	11.5072	−	2.46488i	0.376932	−	0.0807400i
$933$	9.38623	−	9.35757i	0.307291	−	0.306353i
$934$	2.20595	+	6.66321i	0.0721808	+	0.218027i
$935$	−48.1183	−	55.5315i	−1.57364	−	1.81607i
$936$	−17.9462	+	52.5420i	−0.586590	+	1.71739i
$937$	−48.6311			−1.58871			−0.794354	−	0.607455i	$-0.792191\pi$
$937$	−48.6311			−1.58871			−0.794354	+	0.607455i	$0.792191\pi$
$938$	2.86731	+	26.7981i	0.0936210	+	0.874990i
$939$	−8.59435	+	39.2188i	−0.280466	+	1.27986i
$940$	30.1234	−	54.7515i	0.982515	−	1.78580i
$941$	−41.9229	+	36.3264i	−1.36665	+	1.18421i	−0.403582	+	0.914943i	$0.632235\pi$
$941$	−41.9229	+	36.3264i	−1.36665	+	1.18421i	−0.963066	+	0.269265i	$0.913219\pi$
$942$	−6.53666	+	0.682130i	−0.212976	+	0.0222250i
$943$	3.13082	−	4.87165i	0.101953	−	0.158643i
$944$	17.4685	+	2.62528i	0.568551	+	0.0854456i
$945$	−27.2737	−	27.5250i	−0.887212	−	0.895389i
$946$	−3.58602	−	20.0588i	−0.116592	−	0.652166i
$947$	−4.25256	+	29.5772i	−0.138190	+	0.961130i	0.796240	+	0.604981i	$0.206819\pi$
$947$	−4.25256	+	29.5772i	−0.138190	+	0.961130i	−0.934429	+	0.356149i	$0.884090\pi$
$948$	−4.14299	−	14.3598i	−0.134558	−	0.466385i
$949$	66.2233	+	42.5591i	2.14970	+	1.38153i
$950$	−32.6369	−	19.4347i	−1.05888	−	0.630545i
$951$	−1.44584	−	6.69569i	−0.0468846	−	0.217123i
$952$	−43.7453	−	1.77168i	−1.41779	−	0.0574205i
$953$	−4.06567	+	0.584556i	−0.131700	+	0.0189356i	−0.207850	−	0.978161i	$-0.566646\pi$
$953$	−4.06567	+	0.584556i	−0.131700	+	0.0189356i	0.0761495	+	0.997096i	$0.475737\pi$
$954$	−56.8345	−	23.8519i	−1.84009	−	0.772233i
$955$	3.21725	+	10.9569i	0.104108	+	0.354558i
$956$	1.47769	−	1.96091i	0.0477919	−	0.0634204i
$957$	−2.38138	+	32.5956i	−0.0769791	+	1.05367i
$958$	14.8467	−	57.7845i	0.479674	−	1.86693i
$959$	9.60516	−	6.17286i	0.310167	−	0.199332i
$960$	18.8832	−	40.1642i	0.609453	−	1.29629i
$961$	−4.16484	−	4.80648i	−0.134350	−	0.155048i
$962$	0.824197	+	0.666347i	0.0265732	+	0.0214839i
$963$	0.111816	−	36.5661i	0.00360323	−	1.17833i
$964$	2.95708	−	39.5736i	0.0952413	−	1.27458i
$965$	−0.585099	−	0.910432i	−0.0188350	−	0.0293078i
$966$	−14.9536	−	0.580814i	−0.481125	−	0.0186874i
$967$		−	17.0594i		−	0.548594i	−0.961645	−	0.274297i	$-0.911555\pi$
$967$		−	17.0594i		−	0.548594i	0.961645	−	0.274297i	$-0.0884452\pi$
$968$	−2.48693	+	0.622109i	−0.0799328	+	0.0199953i
$969$	47.0278	+	35.3169i	1.51075	+	1.13454i
$970$	−5.88255	+	53.9078i	−0.188877	+	1.73088i
$971$	−1.64848	−	11.4654i	−0.0529023	−	0.367944i	−0.999026	−	0.0441367i	$-0.985946\pi$
$971$	−1.64848	−	11.4654i	−0.0529023	−	0.367944i	0.946123	−	0.323807i	$-0.104963\pi$
$972$	−30.0074	+	8.45907i	−0.962488	+	0.271325i
$973$	25.5511	−	29.4876i	0.819131	−	0.945328i
$974$	2.18909	+	12.2449i	0.0701428	+	0.392351i
$975$	12.7586	−	58.2218i	0.408604	−	1.86459i
$976$	27.2758	+	23.9406i	0.873079	+	0.766319i
$977$	21.7489	+	9.93238i	0.695808	+	0.317765i	0.731735	−	0.681589i	$-0.238711\pi$
$977$	21.7489	+	9.93238i	0.695808	+	0.317765i	−0.0359264	+	0.999354i	$0.511438\pi$
$978$	36.3086	+	25.3778i	1.16102	+	0.811494i
$979$	−7.29149	−	24.8325i	−0.233037	−	0.793651i
$980$	−0.689629	−	10.0940i	−0.0220294	−	0.322442i
$981$	−40.9451	−	6.01487i	−1.30728	−	0.192040i
$982$	−7.57940	+	29.4996i	−0.241868	+	0.941372i
$983$	−17.9933	+	20.7653i	−0.573896	+	0.662311i	−0.966281	−	0.257490i	$-0.917105\pi$
$983$	−17.9933	+	20.7653i	−0.573896	+	0.662311i	0.392385	+	0.919801i	$0.371650\pi$
$984$	−8.91939	+	6.10983i	−0.284340	+	0.194774i
$985$	22.4848	+	25.9489i	0.716426	+	0.826800i
$986$	37.6868	−	34.9758i	1.20019	−	1.11386i
$987$	34.4978	+	18.9057i	1.09808	+	0.601776i
$988$	−66.6520	−	4.98048i	−2.12048	−	0.158450i
$989$	−5.92399	+	9.21790i	−0.188372	+	0.293112i
$990$	14.6008	+	44.5588i	0.464043	+	1.41617i
$991$	−6.50843	+	22.1657i	−0.206747	+	0.704116i	0.789197	+	0.614140i	$0.210497\pi$
$991$	−6.50843	+	22.1657i	−0.206747	+	0.704116i	−0.995944	+	0.0899759i	$0.971321\pi$
$992$	−8.65520	−	26.7128i	−0.274803	−	0.848131i
$993$	2.51097	+	11.6283i	0.0796833	+	0.369014i
$994$	−3.49172	+	0.119139i	−0.110751	+	0.00377886i
$995$	−8.20179	+	9.46537i	−0.260014	+	0.300073i
$996$	18.4545	−	21.0958i	0.584752	−	0.668446i
$997$	10.2005	−	22.3359i	0.323052	−	0.707385i	−0.676526	−	0.736418i	$-0.736516\pi$
$997$	10.2005	−	22.3359i	0.323052	−	0.707385i	0.999578	+	0.0290330i	$0.00924278\pi$
$998$	9.57675	+	19.2083i	0.303147	+	0.608028i
$999$	−0.0451790	+	0.593420i	−0.00142940	+	0.0187750i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	804.2.w.a.59.18	✓	1320
3.2	odd	2	inner	804.2.w.a.59.115	yes	1320
4.3	odd	2	inner	804.2.w.a.59.30	yes	1320
12.11	even	2	inner	804.2.w.a.59.103	yes	1320
67.25	even	11	inner	804.2.w.a.695.103	yes	1320
201.92	odd	22	inner	804.2.w.a.695.30	yes	1320
268.159	odd	22	inner	804.2.w.a.695.115	yes	1320
804.695	even	22	inner	804.2.w.a.695.18	yes	1320

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
804.2.w.a.59.18	✓	1320	1.1	even	1	trivial
804.2.w.a.59.30	yes	1320	4.3	odd	2	inner
804.2.w.a.59.103	yes	1320	12.11	even	2	inner
804.2.w.a.59.115	yes	1320	3.2	odd	2	inner
804.2.w.a.695.18	yes	1320	804.695	even	22	inner
804.2.w.a.695.30	yes	1320	201.92	odd	22	inner
804.2.w.a.695.103	yes	1320	67.25	even	11	inner
804.2.w.a.695.115	yes	1320	268.159	odd	22	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:	\( N \)	\(=\)	\( 804 = 2^{2} \cdot 3 \cdot 67 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	804.w (of order \(22\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.26563 + 0.631011i) q^{2} +(1.52145 - 0.827758i) q^{3} +(1.20365 - 1.59726i) q^{4} +(-1.73166 + 2.69452i) q^{5} +(-1.40327 + 2.00769i) q^{6} +(-2.30452 - 0.331340i) q^{7} +(-0.515490 + 2.78106i) q^{8} +(1.62963 - 2.51879i) q^{9} +O(q^{10})\)	\(q+(-1.26563 + 0.631011i) q^{2} +(1.52145 - 0.827758i) q^{3} +(1.20365 - 1.59726i) q^{4} +(-1.73166 + 2.69452i) q^{5} +(-1.40327 + 2.00769i) q^{6} +(-2.30452 - 0.331340i) q^{7} +(-0.515490 + 2.78106i) q^{8} +(1.62963 - 2.51879i) q^{9} +(0.491374 - 4.50296i) q^{10} +(-2.90279 - 1.86551i) q^{11} +(0.509152 - 3.42648i) q^{12} +(2.71821 + 5.95206i) q^{13} +(3.12575 - 1.03482i) q^{14} +(-0.404230 + 5.53297i) q^{15} +(-1.10246 - 3.84507i) q^{16} +(-1.87307 - 6.37911i) q^{17} +(-0.473130 + 4.21618i) q^{18} +(-5.05531 + 0.726843i) q^{19} +(2.21952 + 6.00916i) q^{20} +(-3.78049 + 1.40347i) q^{21} +(4.85103 + 0.529356i) q^{22} +(-1.71840 - 1.98313i) q^{23} +(1.51775 + 4.65794i) q^{24} +(-2.18470 - 4.78382i) q^{25} +(-7.19608 - 5.81789i) q^{26} +(0.394459 - 5.18116i) q^{27} +(-3.30307 + 3.28209i) q^{28} -5.46846i q^{29} +(-2.97976 - 7.25778i) q^{30} +(-4.51531 - 2.06207i) q^{31} +(3.82159 + 4.17078i) q^{32} +(-5.96066 - 0.435476i) q^{33} +(6.39591 + 6.89167i) q^{34} +(4.88345 - 5.63580i) q^{35} +(-2.06165 - 5.63468i) q^{36} -0.114534 q^{37} +(5.93951 - 4.10987i) q^{38} +(9.06250 + 6.80575i) q^{39} +(-6.60095 - 6.20484i) q^{40} +(0.621744 + 2.11747i) q^{41} +(3.89910 - 4.16181i) q^{42} +(-1.17644 - 4.00657i) q^{43} +(-6.47365 + 2.39109i) q^{44} +(3.96495 + 8.75276i) q^{45} +(3.42624 + 1.42559i) q^{46} +(-6.38827 - 7.37246i) q^{47} +(-4.86013 - 4.93753i) q^{48} +(-1.51542 - 0.444968i) q^{49} +(5.78366 + 4.67598i) q^{50} +(-8.13015 - 8.15505i) q^{51} +(12.7787 + 2.82251i) q^{52} +(-4.09298 + 13.9394i) q^{53} +(2.77013 + 6.80635i) q^{54} +(10.0533 - 4.59119i) q^{55} +(2.10943 - 6.23820i) q^{56} +(-7.08975 + 5.29043i) q^{57} +(3.45066 + 6.92106i) q^{58} +(-1.83454 + 4.01709i) q^{59} +(8.35103 + 7.30542i) q^{60} +(-7.63273 + 4.90526i) q^{61} +(7.01591 - 0.239386i) q^{62} +(-4.59010 + 5.26464i) q^{63} +(-7.46854 - 2.86721i) q^{64} +(-20.7449 - 2.98267i) q^{65} +(7.81879 - 3.21009i) q^{66} +(-1.73125 + 8.00017i) q^{67} +(-12.4436 - 4.68642i) q^{68} +(-4.25601 - 1.59483i) q^{69} +(-2.62440 + 10.2144i) q^{70} +(-1.01811 - 0.298944i) q^{71} +(6.16483 + 5.83051i) q^{72} +(10.1207 - 6.50416i) q^{73} +(0.144958 - 0.0722724i) q^{74} +(-7.28375 - 5.46995i) q^{75} +(-4.92386 + 8.94949i) q^{76} +(6.07143 + 5.26093i) q^{77} +(-15.7643 - 2.89503i) q^{78} +(3.92452 - 1.79227i) q^{79} +(12.2697 + 3.68777i) q^{80} +(-3.68860 - 8.20940i) q^{81} +(-2.12305 - 2.28761i) q^{82} +(6.80671 + 4.37441i) q^{83} +(-2.30868 + 7.72769i) q^{84} +(20.4321 + 5.99942i) q^{85} +(4.01713 + 4.32850i) q^{86} +(-4.52656 - 8.32000i) q^{87} +(6.68446 - 7.11118i) q^{88} +(5.66850 + 4.91178i) q^{89} +(-10.5413 - 8.57584i) q^{90} +(-4.29203 - 14.6173i) q^{91} +(-5.23592 + 0.357721i) q^{92} +(-8.57672 + 0.600240i) q^{93} +(12.7373 + 5.29975i) q^{94} +(6.79558 - 14.8803i) q^{95} +(9.26677 + 3.18229i) q^{96} -11.9716 q^{97} +(2.19874 - 0.393082i) q^{98} +(-9.42932 + 4.27143i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 1320 q - 18 q^{4} - 5 q^{6} - 22 q^{9}+O(q^{10}) \) 1320 * q - 18 * q^4 - 5 * q^6 - 22 * q^9	\( 1320 q - 18 q^{4} - 5 q^{6} - 22 q^{9} - 26 q^{10} - 15 q^{12} - 44 q^{13} - 34 q^{16} - 13 q^{18} - 66 q^{21} + 74 q^{22} + 13 q^{24} + 80 q^{25} - 110 q^{28} - 36 q^{30} - 22 q^{33} - 54 q^{34} - 37 q^{36} - 72 q^{37} - 22 q^{40} + q^{42} - 154 q^{45} - 82 q^{46} + 11 q^{48} + 96 q^{49} - 14 q^{52} - 138 q^{54} - 6 q^{57} + 74 q^{58} + 3 q^{60} - 28 q^{61} - 6 q^{64} - 4 q^{66} - 38 q^{69} - 18 q^{70} - 145 q^{72} + 96 q^{73} + 14 q^{76} - 51 q^{78} - 38 q^{81} - 74 q^{82} - 41 q^{84} - 76 q^{85} + 6 q^{88} - 5 q^{90} + 78 q^{93} - 22 q^{94} + 184 q^{96} - 128 q^{97}+O(q^{100}) \) 1320 * q - 18 * q^4 - 5 * q^6 - 22 * q^9 - 26 * q^10 - 15 * q^12 - 44 * q^13 - 34 * q^16 - 13 * q^18 - 66 * q^21 + 74 * q^22 + 13 * q^24 + 80 * q^25 - 110 * q^28 - 36 * q^30 - 22 * q^33 - 54 * q^34 - 37 * q^36 - 72 * q^37 - 22 * q^40 + q^42 - 154 * q^45 - 82 * q^46 + 11 * q^48 + 96 * q^49 - 14 * q^52 - 138 * q^54 - 6 * q^57 + 74 * q^58 + 3 * q^60 - 28 * q^61 - 6 * q^64 - 4 * q^66 - 38 * q^69 - 18 * q^70 - 145 * q^72 + 96 * q^73 + 14 * q^76 - 51 * q^78 - 38 * q^81 - 74 * q^82 - 41 * q^84 - 76 * q^85 + 6 * q^88 - 5 * q^90 + 78 * q^93 - 22 * q^94 + 184 * q^96 - 128 * q^97

Introduction

L-functions

Modular forms

Varieties

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Database

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