LMFDB - Embedded newform 196.2.p.a.103.7

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [196,2,Mod(3,196)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("196.3"); S:= CuspForms(chi, 2); N := Newforms(S);

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(196, base_ring=CyclotomicField(42)) chi = DirichletCharacter(H, H._module([21, 1])) N = Newforms(chi, 2, names="a")

Level:	$ N $	$=$	$ 196 = 2^{2} \cdot 7^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	196.p (of order $42$, degree $12$, minimal)

Newform invariants

comment:select newform

sage:traces = [] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(0)] == traces)

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

Self dual:	no
Analytic conductor:	$1.56506787962$
Analytic rank:	$0$
Dimension:	$312$
Relative dimension:	$26$ over $\Q(\zeta_{42})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label			103.7
Character	$\chi$	$=$	196.103
Dual form			196.2.p.a.59.7

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-1.02045 - 0.979123i) q^{2} +(-1.63648 - 1.11573i) q^{3} +(0.0826373 + 1.99829i) q^{4} +(2.43655 + 0.182594i) q^{5} +(0.577505 + 2.74086i) q^{6} +(1.91136 - 1.82940i) q^{7} +(1.87225 - 2.12007i) q^{8} +(0.337176 + 0.859110i) q^{9} +(-2.30760 - 2.57201i) q^{10} +(-2.09807 - 0.823430i) q^{11} +(2.09432 - 3.36236i) q^{12} +(0.425257 - 0.339131i) q^{13} +(-3.74165 - 0.00463859i) q^{14} +(-3.78363 - 3.01734i) q^{15} +(-3.98634 + 0.330267i) q^{16} +(-2.31908 - 2.49937i) q^{17} +(0.497103 - 1.20682i) q^{18} +(-0.309187 + 0.535527i) q^{19} +(-0.163527 + 4.88403i) q^{20} +(-5.16901 + 0.861215i) q^{21} +(1.33473 + 2.89453i) q^{22} +(5.40679 - 5.82713i) q^{23} +(-5.42931 + 1.38052i) q^{24} +(0.959278 + 0.144588i) q^{25} +(-0.766005 - 0.0703124i) q^{26} +(-0.915442 + 4.01081i) q^{27} +(3.81363 + 3.66827i) q^{28} +(-1.87079 - 8.19647i) q^{29} +(0.906655 + 6.78368i) q^{30} +(0.779760 + 1.35058i) q^{31} +(4.39124 + 3.56610i) q^{32} +(2.51471 + 3.68840i) q^{33} +(-0.0806880 + 4.82114i) q^{34} +(4.99115 - 4.10843i) q^{35} +(-1.68889 + 0.744770i) q^{36} +(11.4754 + 3.53970i) q^{37} +(0.839857 - 0.243747i) q^{38} +(-1.07430 + 0.0805078i) q^{39} +(4.94893 - 4.82379i) q^{40} +(-0.189645 - 0.393803i) q^{41} +(6.11795 + 4.18227i) q^{42} +(-2.48171 + 5.15333i) q^{43} +(1.47208 - 4.26059i) q^{44} +(0.664677 + 2.15483i) q^{45} +(-11.2228 + 0.652389i) q^{46} +(-2.28293 + 0.344096i) q^{47} +(6.89204 + 3.90721i) q^{48} +(0.306571 - 6.99328i) q^{49} +(-0.837326 - 1.08680i) q^{50} +(1.00649 + 6.67762i) q^{51} +(0.712826 + 0.821763i) q^{52} +(1.32055 - 0.407337i) q^{53} +(4.86124 - 3.19651i) q^{54} +(-4.96169 - 2.38942i) q^{55} +(-0.299931 - 7.47730i) q^{56} +(1.10348 - 0.531408i) q^{57} +(-6.11630 + 10.1958i) q^{58} +(0.851714 + 11.3653i) q^{59} +(5.71686 - 7.81014i) q^{60} +(-4.06989 + 13.1943i) q^{61} +(0.526681 - 2.14168i) q^{62} +(2.21612 + 1.02524i) q^{63} +(-0.989390 - 7.93858i) q^{64} +(1.09808 - 0.748661i) q^{65} +(1.04526 - 6.22604i) q^{66} +(-5.00951 + 2.89224i) q^{67} +(4.80283 - 4.84073i) q^{68} +(-15.3496 + 3.50344i) q^{69} +(-9.11588 - 0.694506i) q^{70} +(9.15258 + 2.08902i) q^{71} +(2.45265 + 0.893629i) q^{72} +(0.0617088 - 0.409411i) q^{73} +(-8.24430 - 14.8479i) q^{74} +(-1.40851 - 1.30691i) q^{75} +(-1.09569 - 0.573591i) q^{76} +(-5.51654 + 2.26434i) q^{77} +(1.17510 + 0.969720i) q^{78} +(5.72656 + 3.30623i) q^{79} +(-9.77322 + 0.0768285i) q^{80} +(8.00270 - 7.42542i) q^{81} +(-0.192057 + 0.587542i) q^{82} +(5.68081 - 7.12350i) q^{83} +(-2.14811 - 10.2580i) q^{84} +(-5.19417 - 6.51329i) q^{85} +(7.57820 - 2.82881i) q^{86} +(-6.08355 + 15.5006i) q^{87} +(-5.67382 + 2.90638i) q^{88} +(2.24168 - 0.879793i) q^{89} +(1.43157 - 2.84970i) q^{90} +(0.192411 - 1.42617i) q^{91} +(12.0911 + 10.3228i) q^{92} +(0.230829 - 3.08020i) q^{93} +(2.66653 + 1.88414i) q^{94} +(-0.851133 + 1.24838i) q^{95} +(-3.20735 - 10.7353i) q^{96} +16.6177i q^{97} +(-7.16012 + 6.83613i) q^{98} -2.08011i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 312 q - 13 q^{2} - 13 q^{4} - 22 q^{5} - 14 q^{6} - 4 q^{8} - 4 q^{9} - 20 q^{10} + 9 q^{12} - 28 q^{13} - 51 q^{14} - 17 q^{16} - 22 q^{17} - 12 q^{18} - 14 q^{20} - 34 q^{21} - 18 q^{22} - 44 q^{24} - 48 q^{25}+ \cdots + 183 q^{98}+O(q^{100}) $ 312 * q - 13 * q^2 - 13 * q^4 - 22 * q^5 - 14 * q^6 - 4 * q^8 - 4 * q^9 - 20 * q^10 + 9 * q^12 - 28 * q^13 - 51 * q^14 - 17 * q^16 - 22 * q^17 - 12 * q^18 - 14 * q^20 - 34 * q^21 - 18 * q^22 - 44 * q^24 - 48 * q^25 - 2 * q^26 - 36 * q^28 - 11 * q^30 - 13 * q^32 - 34 * q^33 - 98 * q^34 - 4 * q^36 - 58 * q^37 - 18 * q^38 + 30 * q^40 - 28 * q^41 - 26 * q^42 + 16 * q^44 - 28 * q^45 - 14 * q^46 - 24 * q^49 + 96 * q^50 - 14 * q^52 - 22 * q^53 - 17 * q^54 + 40 * q^56 + 34 * q^57 - 12 * q^58 + 98 * q^60 - 38 * q^61 - 4 * q^64 - 32 * q^65 - 176 * q^66 - 21 * q^68 + 28 * q^69 + 50 * q^70 - 120 * q^72 - 58 * q^73 - 14 * q^74 - 91 * q^76 - 18 * q^77 - 112 * q^78 + 66 * q^80 - 170 * q^81 + 114 * q^82 + 140 * q^84 - 24 * q^85 + 97 * q^86 + 127 * q^88 - 82 * q^89 + 266 * q^90 + 34 * q^92 + 226 * q^94 + 122 * q^96 + 183 * q^98

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/196\mathbb{Z}\right)^\times$.

$n$	$99$	$101$
$\chi(n)$	$-1$	$e\left(\frac{29}{42}\right)$

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 $

$2$	−1.02045	−	0.979123i	−0.721567	−	0.692344i
$2$	−1.02045	−	0.979123i	−0.721567	−	0.692344i
$3$	−1.63648	−	1.11573i	−0.944820	−	0.644167i	−0.0102501	−	0.999947i	$-0.503263\pi$
$3$	−1.63648	−	1.11573i	−0.944820	−	0.644167i	−0.934570	+	0.355780i	$0.884215\pi$
$4$	0.0826373	+	1.99829i	0.0413186	+	0.999146i
$5$	2.43655	+	0.182594i	1.08966	+	0.0816586i	0.607419	−	0.794381i	$-0.292205\pi$
$5$	2.43655	+	0.182594i	1.08966	+	0.0816586i	0.482239	+	0.876040i	$0.339824\pi$
$6$	0.577505	+	2.74086i	0.235765	+	1.11895i
$7$	1.91136	−	1.82940i	0.722425	−	0.691449i
$7$	1.91136	−	1.82940i	0.722425	−	0.691449i
$8$	1.87225	−	2.12007i	0.661939	−	0.749558i
$9$	0.337176	+	0.859110i	0.112392	+	0.286370i
$10$	−2.30760	−	2.57201i	−0.729726	−	0.813341i
$11$	−2.09807	−	0.823430i	−0.632591	−	0.248274i	0.0273093	−	0.999627i	$-0.491306\pi$
$11$	−2.09807	−	0.823430i	−0.632591	−	0.248274i	−0.659900	+	0.751353i	$0.729401\pi$
$12$	2.09432	−	3.36236i	0.604578	−	0.970629i
$13$	0.425257	−	0.339131i	0.117945	−	0.0940581i	−0.562741	−	0.826633i	$-0.690253\pi$
$13$	0.425257	−	0.339131i	0.117945	−	0.0940581i	0.680686	+	0.732575i	$0.261682\pi$
$14$	−3.74165	−	0.00463859i	−0.999999	−	0.00123972i
$15$	−3.78363	−	3.01734i	−0.976929	−	0.779075i
$16$	−3.98634	+	0.330267i	−0.996586	+	0.0825667i
$17$	−2.31908	−	2.49937i	−0.562459	−	0.606186i	0.386228	−	0.922403i	$-0.373778\pi$
$17$	−2.31908	−	2.49937i	−0.562459	−	0.606186i	−0.948687	+	0.316217i	$0.897587\pi$
$18$	0.497103	−	1.20682i	0.117168	−	0.284449i
$19$	−0.309187	+	0.535527i	−0.0709323	+	0.122858i	−0.899310	−	0.437311i	$-0.855931\pi$
$19$	−0.309187	+	0.535527i	−0.0709323	+	0.122858i	0.828378	+	0.560170i	$0.189264\pi$
$20$	−0.163527	+	4.88403i	−0.0365657	+	1.09210i
$21$	−5.16901	+	0.861215i	−1.12797	+	0.187932i
$22$	1.33473	+	2.89453i	0.284566	+	0.617117i
$23$	5.40679	−	5.82713i	1.12739	−	1.21504i	0.153473	−	0.988153i	$-0.450954\pi$
$23$	5.40679	−	5.82713i	1.12739	−	1.21504i	0.973921	−	0.226889i	$-0.0728553\pi$
$24$	−5.42931	+	1.38052i	−1.10825	+	0.281798i
$25$	0.959278	+	0.144588i	0.191856	+	0.0289176i
$26$	−0.766005	−	0.0703124i	−0.150226	−	0.0137894i
$27$	−0.915442	+	4.01081i	−0.176177	+	0.771881i
$28$	3.81363	+	3.66827i	0.720708	+	0.693238i
$29$	−1.87079	−	8.19647i	−0.347397	−	1.52205i	−0.783065	−	0.621939i	$-0.786345\pi$
$29$	−1.87079	−	8.19647i	−0.347397	−	1.52205i	0.435668	−	0.900107i	$-0.356512\pi$
$30$	0.906655	+	6.78368i	0.165532	+	1.23853i
$31$	0.779760	+	1.35058i	0.140049	+	0.242572i	0.927515	−	0.373786i	$-0.121941\pi$
$31$	0.779760	+	1.35058i	0.140049	+	0.242572i	−0.787466	+	0.616358i	$0.788607\pi$
$32$	4.39124	+	3.56610i	0.776268	+	0.630403i
$33$	2.51471	+	3.68840i	0.437754	+	0.642068i
$34$	−0.0806880	+	4.82114i	−0.0138379	+	0.826819i
$35$	4.99115	−	4.10843i	0.843659	−	0.694451i
$36$	−1.68889	+	0.744770i	−0.281482	+	0.124128i
$37$	11.4754	+	3.53970i	1.88655	+	0.581923i	0.990412	+	0.138144i	$0.0441138\pi$
$37$	11.4754	+	3.53970i	1.88655	+	0.581923i	0.896136	+	0.443779i	$0.146362\pi$
$38$	0.839857	−	0.243747i	0.136243	−	0.0395410i
$39$	−1.07430	+	0.0805078i	−0.172026	+	0.0128916i
$40$	4.94893	−	4.82379i	0.782495	−	0.762709i
$41$	−0.189645	−	0.393803i	−0.0296176	−	0.0615016i	0.885635	−	0.464382i	$-0.153723\pi$
$41$	−0.189645	−	0.393803i	−0.0296176	−	0.0615016i	−0.915253	+	0.402880i	$0.868009\pi$
$42$	6.11795	+	4.18227i	0.944020	+	0.645338i
$43$	−2.48171	+	5.15333i	−0.378457	+	0.785875i	0.621540	+	0.783383i	$0.286508\pi$
$43$	−2.48171	+	5.15333i	−0.378457	+	0.785875i	−0.999997	+	0.00249203i	$0.999207\pi$
$44$	1.47208	−	4.26059i	0.221924	−	0.642309i
$45$	0.664677	+	2.15483i	0.0990842	+	0.321223i
$46$	−11.2228	+	0.652389i	−1.65472	+	0.0961895i
$47$	−2.28293	+	0.344096i	−0.333000	+	0.0501916i	−0.313414	−	0.949617i	$-0.601473\pi$
$47$	−2.28293	+	0.344096i	−0.333000	+	0.0501916i	−0.0195855	+	0.999808i	$0.506235\pi$
$48$	6.89204	+	3.90721i	0.994780	+	0.563957i
$49$	0.306571	−	6.99328i	0.0437958	−	0.999041i
$50$	−0.837326	−	1.08680i	−0.118416	−	0.153696i
$51$	1.00649	+	6.67762i	0.140937	+	0.935054i
$52$	0.712826	+	0.821763i	0.0988511	+	0.113958i
$53$	1.32055	−	0.407337i	0.181392	−	0.0559520i	−0.202728	−	0.979235i	$-0.564981\pi$
$53$	1.32055	−	0.407337i	0.181392	−	0.0559520i	0.384121	+	0.923283i	$0.374505\pi$
$54$	4.86124	−	3.19651i	0.661531	−	0.434989i
$55$	−4.96169	−	2.38942i	−0.669034	−	0.322190i
$56$	−0.299931	−	7.47730i	−0.0400799	−	0.999196i
$57$	1.10348	−	0.531408i	0.146160	−	0.0703868i
$58$	−6.11630	+	10.1958i	−0.803110	+	1.33878i
$59$	0.851714	+	11.3653i	0.110884	+	1.47964i	0.724083	+	0.689712i	$0.242263\pi$
$59$	0.851714	+	11.3653i	0.110884	+	1.47964i	−0.613200	+	0.789928i	$0.710118\pi$
$60$	5.71686	−	7.81014i	0.738044	−	1.00828i
$61$	−4.06989	+	13.1943i	−0.521096	+	1.68935i	0.186265	+	0.982500i	$0.440362\pi$
$61$	−4.06989	+	13.1943i	−0.521096	+	1.68935i	−0.707361	+	0.706853i	$0.750114\pi$
$62$	0.526681	−	2.14168i	0.0668886	−	0.271994i
$63$	2.21612	+	1.02524i	0.279205	+	0.129168i
$64$	−0.989390	−	7.93858i	−0.123674	−	0.992323i
$65$	1.09808	−	0.748661i	0.136201	−	0.0928600i
$66$	1.04526	−	6.22604i	0.128663	−	0.766372i
$67$	−5.00951	+	2.89224i	−0.612009	+	0.353344i	−0.773751	−	0.633489i	$-0.781622\pi$
$67$	−5.00951	+	2.89224i	−0.612009	+	0.353344i	0.161742	+	0.986833i	$0.448289\pi$
$68$	4.80283	−	4.84073i	0.582428	−	0.587025i
$69$	−15.3496	+	3.50344i	−1.84787	+	0.421765i
$70$	−9.11588	−	0.694506i	−1.08956	−	0.0830094i
$71$	9.15258	+	2.08902i	1.08621	+	0.247921i	0.727901	−	0.685682i	$-0.240496\pi$
$71$	9.15258	+	2.08902i	1.08621	+	0.247921i	0.358310	+	0.933603i	$0.383353\pi$
$72$	2.45265	+	0.893629i	0.289047	+	0.105315i
$73$	0.0617088	−	0.409411i	0.00722247	−	0.0479180i	−0.984929	−	0.172957i	$-0.944668\pi$
$73$	0.0617088	−	0.409411i	0.00722247	−	0.0479180i	0.992152	+	0.125040i	$0.0399058\pi$
$74$	−8.24430	−	14.8479i	−0.958380	−	1.72604i
$75$	−1.40851	−	1.30691i	−0.162641	−	0.150909i
$76$	−1.09569	−	0.573591i	−0.125684	−	0.0657954i
$77$	−5.51654	+	2.26434i	−0.628668	+	0.258045i
$78$	1.17510	+	0.969720i	0.133054	+	0.109799i
$79$	5.72656	+	3.30623i	0.644289	+	0.371980i	0.786265	−	0.617890i	$-0.212012\pi$
$79$	5.72656	+	3.30623i	0.644289	+	0.371980i	−0.141976	+	0.989870i	$0.545346\pi$
$80$	−9.77322	+	0.0768285i	−1.09268	+	0.00858969i
$81$	8.00270	−	7.42542i	0.889189	−	0.825047i
$82$	−0.192057	+	0.587542i	−0.0212092	+	0.0648832i
$83$	5.68081	−	7.12350i	0.623549	−	0.781906i	−0.365290	−	0.930894i	$-0.619030\pi$
$83$	5.68081	−	7.12350i	0.623549	−	0.781906i	0.988839	+	0.148988i	$0.0476015\pi$
$84$	−2.14811	−	10.2580i	−0.234378	−	1.11924i
$85$	−5.19417	−	6.51329i	−0.563387	−	0.706465i
$86$	7.57820	−	2.82881i	0.817178	−	0.305039i
$87$	−6.08355	+	15.5006i	−0.652225	+	1.66184i
$88$	−5.67382	+	2.90638i	−0.604832	+	0.309821i
$89$	2.24168	−	0.879793i	0.237617	−	0.0932579i	−0.243545	−	0.969890i	$-0.578310\pi$
$89$	2.24168	−	0.879793i	0.237617	−	0.0932579i	0.481162	+	0.876632i	$0.340215\pi$
$90$	1.43157	−	2.84970i	0.150901	−	0.300384i
$91$	0.192411	−	1.42617i	0.0201701	−	0.149503i
$92$	12.0911	+	10.3228i	1.26059	+	1.07623i
$93$	0.230829	−	3.08020i	0.0239358	−	0.319402i
$94$	2.66653	+	1.88414i	0.275031	+	0.194334i
$95$	−0.851133	+	1.24838i	−0.0873244	+	0.128081i
$96$	−3.20735	−	10.7353i	−0.327348	−	1.09566i
$97$			16.6177i			1.68728i	0.536913	+	0.843638i	$0.319590\pi$
$97$			16.6177i			1.68728i	−0.536913	+	0.843638i	$0.680410\pi$
$98$	−7.16012	+	6.83613i	−0.723282	+	0.690553i
$99$		−	2.08011i		−	0.209059i
$100$	−0.209657	+	1.92887i	−0.0209657	+	0.192887i
$101$	−7.40813	+	10.8657i	−0.737136	+	1.08118i	0.256278	+	0.966603i	$0.417504\pi$
$101$	−7.40813	+	10.8657i	−0.737136	+	1.08118i	−0.993414	+	0.114577i	$0.963449\pi$
$102$	5.51114	−	7.79966i	0.545684	−	0.772281i
$103$	0.796565	−	10.6294i	0.0784879	−	1.04735i	−0.809391	−	0.587271i	$-0.800202\pi$
$103$	0.796565	−	10.6294i	0.0784879	−	1.04735i	0.887879	−	0.460078i	$-0.152179\pi$
$104$	0.0772042	−	1.53651i	0.00757049	−	0.150667i
$105$	−12.7518	+	1.15456i	−1.24445	+	0.112674i
$106$	−1.74639	−	0.877318i	−0.169625	−	0.0852126i
$107$	2.89990	−	1.13813i	0.280344	−	0.110027i	−0.221003	−	0.975273i	$-0.570933\pi$
$107$	2.89990	−	1.13813i	0.280344	−	0.110027i	0.501347	+	0.865246i	$0.332838\pi$
$108$	−8.09043	−	1.49788i	−0.778502	−	0.144133i
$109$	−1.17261	+	2.98777i	−0.112316	+	0.286177i	−0.975969	−	0.217911i	$-0.930076\pi$
$109$	−1.17261	+	2.98777i	−0.112316	+	0.286177i	0.863653	+	0.504087i	$0.168171\pi$
$110$	2.72362	+	7.29639i	0.259687	+	0.695683i
$111$	−14.8299	−	18.5961i	−1.40759	−	1.76507i
$112$	−7.01513	+	7.92388i	−0.662868	+	0.748737i
$113$	11.3377	−	14.2170i	1.06656	−	1.33743i	0.128210	−	0.991747i	$-0.459077\pi$
$113$	11.3377	−	14.2170i	1.06656	−	1.33743i	0.938353	−	0.345680i	$-0.112352\pi$
$114$	−1.64636	−	0.538168i	−0.154196	−	0.0504040i
$115$	14.2379	−	13.2109i	1.32769	−	1.23192i
$116$	16.2243	−	4.41572i	1.50639	−	0.409989i
$117$	0.434738	+	0.250996i	0.0401915	+	0.0232046i
$118$	10.2589	−	12.4317i	0.944411	−	1.14443i
$119$	−9.00494	−	0.534663i	−0.825481	−	0.0490125i
$120$	−13.4809	+	2.37235i	−1.23063	+	0.216565i
$121$	−4.33973	−	4.02668i	−0.394521	−	0.366062i
$122$	17.0719	−	9.47916i	1.54562	−	0.858203i
$123$	−0.129027	+	0.856041i	−0.0116340	+	0.0771867i
$124$	−2.63442	+	1.66980i	−0.236578	+	0.149952i
$125$	−9.59968	−	2.19106i	−0.858621	−	0.195975i
$126$	−1.25761	−	3.21606i	−0.112037	−	0.286509i
$127$	9.21060	−	2.10226i	0.817309	−	0.186545i	0.206625	−	0.978420i	$-0.433752\pi$
$127$	9.21060	−	2.10226i	0.817309	−	0.186545i	0.610684	+	0.791875i	$0.290895\pi$
$128$	−6.76322	+	9.06966i	−0.597790	+	0.801653i
$129$	9.81098	−	5.66437i	0.863809	−	0.498720i
$130$	−1.85357	−	0.311188i	−0.162569	−	0.0272930i
$131$	−4.23109	+	2.88471i	−0.369672	+	0.252038i	−0.733880	−	0.679280i	$-0.762292\pi$
$131$	−4.23109	+	2.88471i	−0.369672	+	0.252038i	0.364207	+	0.931318i	$0.381340\pi$
$132$	−7.16269	+	5.32992i	−0.623432	+	0.463910i
$133$	0.388729	+	1.58921i	0.0337071	+	0.137802i
$134$	7.94381	+	1.95354i	0.686241	+	0.168760i
$135$	−2.96287	+	9.60539i	−0.255003	+	0.826700i
$136$	−9.64072	+	0.237168i	−0.826685	+	0.0203370i
$137$	0.668458	+	8.91995i	0.0571102	+	0.762083i	0.950088	+	0.311982i	$0.100993\pi$
$137$	0.668458	+	8.91995i	0.0571102	+	0.762083i	−0.892978	+	0.450101i	$0.851388\pi$
$138$	19.0938	+	11.4540i	1.62537	+	0.975033i
$139$	8.23355	−	3.96507i	0.698361	−	0.336313i	−0.0507927	−	0.998709i	$-0.516175\pi$
$139$	8.23355	−	3.96507i	0.698361	−	0.336313i	0.749154	+	0.662396i	$0.230461\pi$
$140$	8.62229	+	9.63427i	0.728717	+	0.814245i
$141$	4.11988	+	1.98403i	0.346956	+	0.167085i
$142$	−7.29435	−	11.0932i	−0.612128	−	0.930924i
$143$	−1.17147	+	0.361350i	−0.0979632	+	0.0302176i
$144$	−1.62783	−	3.31335i	−0.135653	−	0.276112i
$145$	−3.06165	−	20.3127i	−0.254256	−	1.68688i
$146$	−0.463835	+	0.357363i	−0.0383872	+	0.0295756i
$147$	−8.30431	+	11.1023i	−0.684928	+	0.915701i
$148$	−6.12506	+	23.2238i	−0.503477	+	1.90898i
$149$	−10.8999	+	1.64290i	−0.892957	+	0.134592i	−0.579463	−	0.814999i	$-0.696738\pi$
$149$	−10.8999	+	1.64290i	−0.892957	+	0.134592i	−0.313494	+	0.949590i	$0.601500\pi$
$150$	0.157693	+	2.71274i	0.0128756	+	0.221495i
$151$	2.48559	+	8.05808i	0.202274	+	0.655757i	0.998698	+	0.0510179i	$0.0162466\pi$
$151$	2.48559	+	8.05808i	0.202274	+	0.655757i	−0.796423	+	0.604739i	$0.793277\pi$
$152$	0.556481	+	1.65814i	0.0451366	+	0.134493i
$153$	1.36530	−	2.83507i	0.110378	−	0.229202i
$154$	7.84642	+	3.09072i	0.632282	+	0.249058i
$155$	1.65331	+	3.43314i	0.132797	+	0.275757i
$156$	−0.249656	−	2.14012i	−0.0199884	−	0.171347i
$157$	13.6733	−	1.02467i	1.09125	−	0.0817776i	0.483072	−	0.875581i	$-0.339521\pi$
$157$	13.6733	−	1.02467i	1.09125	−	0.0817776i	0.608175	+	0.793803i	$0.291902\pi$
$158$	−2.60646	−	8.98085i	−0.207359	−	0.714478i
$159$	−2.61553	−	0.806785i	−0.207425	−	0.0639822i
$160$	10.0483	+	9.49079i	0.794389	+	0.750313i
$161$	−0.325869	−	21.0289i	−0.0256821	−	1.65731i
$162$	−15.4368	−	0.258354i	−1.21283	−	0.0202982i
$163$	−2.30605	−	3.38236i	−0.180624	−	0.264927i	0.725239	−	0.688497i	$-0.241729\pi$
$163$	−2.30605	−	3.38236i	−0.180624	−	0.264927i	−0.905863	+	0.423570i	$0.860777\pi$
$164$	0.771261	−	0.411509i	0.0602253	−	0.0321335i
$165$	5.45373	+	9.44614i	0.424572	+	0.735381i
$166$	−12.7718	+	1.70698i	−0.991281	+	0.132487i
$167$	5.39537	+	23.6386i	0.417506	+	1.82921i	0.546361	+	0.837550i	$0.316013\pi$
$167$	5.39537	+	23.6386i	0.417506	+	1.82921i	−0.128855	+	0.991663i	$0.541130\pi$
$168$	−7.85182	+	12.5711i	−0.605781	+	0.969879i
$169$	−2.82694	+	12.3856i	−0.217457	+	0.952741i
$170$	−1.07691	+	11.7322i	−0.0825954	+	0.899820i
$171$	−0.564327	−	0.0850587i	−0.0431552	−	0.00650460i
$172$	−10.5029	−	4.53333i	−0.800841	−	0.345663i
$173$	−13.3156	+	14.3508i	−1.01237	+	1.09107i	−0.0165366	+	0.999863i	$0.505264\pi$
$173$	−13.3156	+	14.3508i	−1.01237	+	1.09107i	−0.995832	+	0.0912102i	$0.970926\pi$
$174$	21.3850	−	9.86108i	1.62119	−	0.747566i
$175$	2.09803	−	1.47855i	0.158596	−	0.111768i
$176$	8.63556	+	2.58955i	0.650930	+	0.195195i
$177$	11.2868	−	19.5494i	0.848371	−	1.46942i
$178$	−3.14894	−	1.29709i	−0.236023	−	0.0972211i
$179$	−3.76364	−	4.05624i	−0.281307	−	0.303177i	0.576553	−	0.817060i	$-0.304397\pi$
$179$	−3.76364	−	4.05624i	−0.281307	−	0.303177i	−0.857861	+	0.513882i	$0.828207\pi$
$180$	−4.25105	+	1.50629i	−0.316855	+	0.112272i
$181$	15.1067	+	12.0472i	1.12287	+	0.895461i	0.995345	−	0.0963746i	$-0.0307247\pi$
$181$	15.1067	+	12.0472i	1.12287	+	0.895461i	0.127527	+	0.991835i	$0.459296\pi$
$182$	−1.59274	+	1.26694i	−0.118062	+	0.0939118i
$183$	21.3815	−	17.0512i	1.58057	−	1.26046i
$184$	−2.23109	−	22.3726i	−0.164478	−	1.64933i
$185$	27.3141	+	10.7200i	2.00817	+	0.788150i
$186$	−3.25144	+	2.91718i	−0.238407	+	0.213898i
$187$	2.80752	+	7.15344i	0.205306	+	0.523111i
$188$	−0.876260	−	4.53353i	−0.0639078	−	0.330641i
$189$	5.58766	+	9.34081i	0.406442	+	0.679444i
$190$	2.09086	−	0.440549i	0.151687	−	0.0319608i
$191$	−16.0261	−	1.20099i	−1.15961	−	0.0869007i	−0.519004	−	0.854772i	$-0.673697\pi$
$191$	−16.0261	−	1.20099i	−1.15961	−	0.0869007i	−0.640605	+	0.767871i	$0.721316\pi$
$192$	−7.23821	+	14.0952i	−0.522373	+	1.01723i
$193$	0.623725	+	0.425248i	0.0448967	+	0.0306101i	0.585560	−	0.810629i	$-0.300874\pi$
$193$	0.623725	+	0.425248i	0.0448967	+	0.0306101i	−0.540664	+	0.841239i	$0.681827\pi$
$194$	16.2708	−	16.9576i	1.16818	−	1.21748i
$195$	−2.63229			−0.188502
$196$	14.0000	+	0.0347120i	0.999997	+	0.00247943i
$197$	−3.90432			−0.278171			−0.139086	−	0.990280i	$-0.544416\pi$
$197$	−3.90432			−0.278171			−0.139086	+	0.990280i	$0.544416\pi$
$198$	−2.03668	+	2.12265i	−0.144741	+	0.150850i
$199$	−1.31856	−	0.898976i	−0.0934700	−	0.0637267i	0.515683	−	0.856779i	$-0.327538\pi$
$199$	−1.31856	−	0.898976i	−0.0934700	−	0.0637267i	−0.609153	+	0.793053i	$0.708491\pi$
$200$	2.10254	−	1.76303i	0.148672	−	0.124665i
$201$	11.4249	+	0.856178i	0.805851	+	0.0603901i
$202$	18.1985	−	3.83447i	1.28044	−	0.269792i
$203$	−18.5704	−	12.2440i	−1.30339	−	0.859357i
$204$	−13.2607	+	2.56308i	−0.928432	+	0.179451i
$205$	−0.390174	−	0.994147i	−0.0272509	−	0.0694343i
$206$	−11.2204	+	10.0669i	−0.781760	+	0.701392i
$207$	6.82919	+	2.68026i	0.474661	+	0.186291i
$208$	−1.58322	+	1.49234i	−0.109776	+	0.103475i
$209$	1.08966	−	0.868978i	0.0753736	−	0.0601085i
$210$	14.1430	+	11.3074i	0.975962	+	0.780285i
$211$	−9.10844	−	7.26374i	−0.627051	−	0.500056i	0.257636	−	0.966242i	$-0.417056\pi$
$211$	−9.10844	−	7.26374i	−0.627051	−	0.500056i	−0.884687	+	0.466186i	$0.845628\pi$
$212$	0.923105	+	2.60519i	0.0633991	+	0.178925i
$213$	−12.6472	−	13.6304i	−0.866572	−	0.933942i
$214$	−4.07358	−	1.67796i	−0.278464	−	0.114703i
$215$	−6.98778	+	12.1032i	−0.476563	+	0.825431i
$216$	6.78927	+	9.45003i	0.461951	+	0.642993i
$217$	3.96116	+	1.15495i	0.268901	+	0.0784033i
$218$	4.12199	−	1.90074i	0.279176	−	0.128734i
$219$	−0.557778	+	0.601141i	−0.0376911	+	0.0406214i
$220$	4.36474	−	10.1124i	0.294271	−	0.681775i
$221$	−1.83382	−	0.276404i	−0.123356	−	0.0185929i
$222$	−3.07470	+	33.4967i	−0.206360	+	2.24815i
$223$	4.08632	−	17.9033i	0.273640	−	1.19890i	−0.632040	−	0.774936i	$-0.717782\pi$
$223$	4.08632	−	17.9033i	0.273640	−	1.19890i	0.905680	−	0.423961i	$-0.139361\pi$
$224$	14.9170	−	1.21725i	0.996687	−	0.0813311i
$225$	0.199228	+	0.872877i	0.0132819	+	0.0581918i
$226$	−25.4898	+	3.40677i	−1.69556	+	0.226615i
$227$	−9.77418	−	16.9294i	−0.648735	−	1.12364i	−0.983425	−	0.181314i	$-0.941965\pi$
$227$	−9.77418	−	16.9294i	−0.648735	−	1.12364i	0.334690	−	0.942328i	$-0.391368\pi$
$228$	1.15310	+	2.16116i	0.0763658	+	0.143127i
$229$	5.06746	+	7.43259i	0.334867	+	0.491160i	0.956332	−	0.292282i	$-0.0944146\pi$
$229$	5.06746	+	7.43259i	0.334867	+	0.491160i	−0.621465	+	0.783442i	$0.713462\pi$
$230$	−27.4641	−	0.459647i	−1.81093	−	0.0303082i
$231$	11.5541	+	2.44943i	0.760202	+	0.161161i
$232$	−20.8797	−	11.3796i	−1.37082	−	0.747108i
$233$	−2.10613	−	0.649655i	−0.137977	−	0.0425603i	0.224997	−	0.974359i	$-0.427763\pi$
$233$	−2.10613	−	0.649655i	−0.137977	−	0.0425603i	−0.362975	+	0.931799i	$0.618239\pi$
$234$	−0.197872	−	0.681790i	−0.0129353	−	0.0445700i
$235$	−5.62530	+	0.421558i	−0.366954	+	0.0274994i
$236$	−22.6409	+	2.64117i	−1.47380	+	0.171926i
$237$	−5.68252	−	11.7999i	−0.369119	−	0.766484i
$238$	8.66559	+	9.36253i	0.561707	+	0.606883i
$239$	3.31822	−	6.89036i	0.214638	−	0.445701i	−0.765654	−	0.643252i	$-0.777585\pi$
$239$	3.31822	−	6.89036i	0.214638	−	0.445701i	0.980293	+	0.197552i	$0.0632990\pi$
$240$	16.0794	+	10.7786i	1.03792	+	0.695753i
$241$	−1.78183	−	5.77655i	−0.114778	−	0.372101i	0.879897	−	0.475165i	$-0.157612\pi$
$241$	−1.78183	−	5.77655i	−0.114778	−	0.372101i	−0.994675	+	0.103064i	$0.967135\pi$
$242$	0.485863	+	8.35815i	0.0312325	+	0.537282i
$243$	−9.17696	+	1.38320i	−0.588703	+	0.0887326i
$244$	−26.7023	−	7.04249i	−1.70944	−	0.450849i
$245$	2.02391	−	16.9835i	0.129303	−	1.08504i
$246$	0.969836	−	0.747214i	0.0618345	−	0.0476406i
$247$	0.0501302	+	0.332592i	0.00318971	+	0.0211623i
$248$	4.32323	+	0.875480i	0.274526	+	0.0555930i
$249$	−17.2444	+	5.31920i	−1.09282	+	0.337090i
$250$	7.65067	+	11.6351i	0.483871	+	0.735870i
$251$	14.2039	+	6.84023i	0.896542	+	0.431752i	0.824639	−	0.565660i	$-0.191378\pi$
$251$	14.2039	+	6.84023i	0.896542	+	0.431752i	0.0719031	+	0.997412i	$0.477093\pi$
$252$	−1.86559	+	4.51318i	−0.117521	+	0.284304i
$253$	−16.1420	+	7.77360i	−1.01484	+	0.488722i
$254$	−11.4573	−	6.87306i	−0.718897	−	0.431254i
$255$	1.23307	+	16.4541i	0.0772176	+	1.03040i
$256$	15.7818	−	2.63311i	0.986365	−	0.164570i
$257$	−1.95170	+	6.32726i	−0.121744	+	0.394684i	−0.995845	−	0.0910594i	$-0.970975\pi$
$257$	−1.95170	+	6.32726i	−0.121744	+	0.394684i	0.874102	+	0.485743i	$0.161451\pi$
$258$	−15.5577	−	3.82594i	−0.968582	−	0.238193i
$259$	28.4092	−	14.2275i	1.76526	−	0.884057i
$260$	1.58679	+	2.13242i	0.0984083	+	0.132247i
$261$	6.41088	−	4.37087i	0.396824	−	0.270550i
$262$	7.14210	+	1.19906i	0.441241	+	0.0740779i
$263$	−22.1135	+	12.7672i	−1.36358	+	0.787261i	−0.990098	−	0.140378i	$-0.955168\pi$
$263$	−22.1135	+	12.7672i	−1.36358	+	0.787261i	−0.373478	+	0.927639i	$0.621835\pi$
$264$	12.5278	+	1.57423i	0.771034	+	0.0968875i
$265$	3.29197	−	0.751371i	0.202224	−	0.0461564i
$266$	1.15935	−	2.00232i	0.0710846	−	0.122770i
$267$	−4.65006	−	1.06135i	−0.284579	−	0.0649533i
$268$	−6.19352	−	9.77146i	−0.378329	−	0.596887i
$269$	−0.812860	+	5.39298i	−0.0495610	+	0.328816i	0.950287	+	0.311376i	$0.100790\pi$
$269$	−0.812860	+	5.39298i	−0.0495610	+	0.328816i	−0.999848	+	0.0174400i	$0.994448\pi$
$270$	12.4283	−	6.90081i	0.756363	−	0.419970i
$271$	−19.5666	−	18.1552i	−1.18859	−	1.10285i	−0.992498	−	0.122262i	$-0.960985\pi$
$271$	−19.5666	−	18.1552i	−1.18859	−	1.10285i	−0.196089	−	0.980586i	$-0.562824\pi$
$272$	10.0701	+	9.19743i	0.610589	+	0.557676i
$273$	−1.90609	+	2.11921i	−0.115362	+	0.128260i
$274$	8.05160	−	9.75687i	0.486415	−	0.589434i
$275$	−1.89357	−	1.09325i	−0.114187	−	0.0659256i
$276$	−8.26935	−	30.3835i	−0.497757	−	1.82887i
$277$	17.2959	−	16.0483i	1.03921	−	0.964248i	0.0398233	−	0.999207i	$-0.487321\pi$
$277$	17.2959	−	16.0483i	1.03921	−	0.964248i	0.999389	+	0.0349589i	$0.0111300\pi$
$278$	−12.2842	−	4.01550i	−0.736759	−	0.240834i
$279$	−0.897384	+	1.12528i	−0.0537249	+	0.0673690i
$280$	0.634515	−	18.2736i	0.0379195	−	1.09206i
$281$	0.415424	+	0.520926i	0.0247821	+	0.0310758i	0.794068	−	0.607829i	$-0.207959\pi$
$281$	0.415424	+	0.520926i	0.0247821	+	0.0310758i	−0.769286	+	0.638905i	$0.779388\pi$
$282$	−2.26152	−	6.05847i	−0.134672	−	0.360777i
$283$	7.46334	−	19.0163i	0.443650	−	1.13040i	−0.517820	−	0.855490i	$-0.673256\pi$
$283$	7.46334	−	19.0163i	0.443650	−	1.13040i	0.961470	−	0.274911i	$-0.0886485\pi$
$284$	−3.41812	+	18.4622i	−0.202828	+	1.09553i
$285$	2.78572	−	1.09331i	0.165012	−	0.0647623i
$286$	1.54923	+	0.778272i	0.0916080	+	0.0460202i
$287$	−1.08290	−	0.405760i	−0.0639218	−	0.0239512i
$288$	−1.58305	+	4.97496i	−0.0932822	+	0.293152i
$289$	0.401677	−	5.36001i	0.0236281	−	0.315295i
$290$	−16.7644	+	23.7258i	−0.984438	+	1.39323i
$291$	18.5409	−	27.1945i	1.08689	−	1.59417i
$292$	0.823223	+	0.0894796i	0.0481755	+	0.00523640i
$293$		−	31.6183i		−	1.84716i	−0.383402	−	0.923582i	$-0.625248\pi$
$293$		−	31.6183i		−	1.84716i	0.383402	−	0.923582i	$-0.374752\pi$
$294$	19.3446	−	3.19839i	1.12820	−	0.186534i
$295$			27.8477i			1.62136i
$296$	28.9892	−	17.7015i	1.68496	−	1.02888i
$297$	5.22328	−	7.66115i	0.303086	−	0.444545i
$298$	12.7314	+	8.99587i	0.737512	+	0.521117i
$299$	0.323113	−	4.31164i	0.0186861	−	0.249349i
$300$	2.49519	−	2.92262i	0.144060	−	0.168738i
$301$	4.68407	+	14.3899i	0.269986	+	0.829420i
$302$	5.35343	−	10.6566i	0.308055	−	0.613217i
$303$	24.2465	−	9.51603i	1.39292	−	0.546682i
$304$	1.05566	−	2.23691i	0.0605461	−	0.128296i
$305$	−12.3257	+	31.4053i	−0.705767	+	1.79826i
$306$	−4.16910	+	1.55625i	−0.238331	+	0.0889650i
$307$	1.27618	+	1.60028i	0.0728353	+	0.0913326i	0.816914	−	0.576759i	$-0.195683\pi$
$307$	1.27618	+	1.60028i	0.0728353	+	0.0913326i	−0.744079	+	0.668092i	$0.767111\pi$
$308$	−4.98068	−	10.8365i	−0.283801	−	0.617469i
$309$	−13.1631	+	16.5060i	−0.748824	+	0.938996i
$310$	1.67434	−	5.12215i	0.0950963	−	0.290919i
$311$	9.67017	−	8.97261i	0.548345	−	0.508790i	−0.356635	−	0.934244i	$-0.616076\pi$
$311$	9.67017	−	8.97261i	0.548345	−	0.508790i	0.904980	+	0.425454i	$0.139886\pi$
$312$	−1.84068	+	2.42833i	−0.104208	+	0.137477i
$313$	−13.6770	−	7.89639i	−0.773067	−	0.446330i	0.0609006	−	0.998144i	$-0.480603\pi$
$313$	−13.6770	−	7.89639i	−0.773067	−	0.446330i	−0.833968	+	0.551813i	$0.813936\pi$
$314$	−14.9562	−	12.3422i	−0.844026	−	0.696510i
$315$	5.21249	+	2.90269i	0.293690	+	0.163548i
$316$	−6.13359	+	11.7166i	−0.345041	+	0.659108i
$317$	2.52422	+	2.34213i	0.141774	+	0.131547i	0.747872	−	0.663843i	$-0.231076\pi$
$317$	2.52422	+	2.34213i	0.141774	+	0.131547i	−0.606098	+	0.795390i	$0.707266\pi$
$318$	1.87908	+	3.38421i	0.105374	+	0.189777i
$319$	−2.82418	+	18.7372i	−0.158124	+	1.04908i
$320$	−0.961158	−	19.5234i	−0.0537304	−	1.09139i
$321$	−6.01547	−	1.37299i	−0.335751	−	0.0766329i
$322$	−20.2574	+	21.7780i	−1.12890	+	1.21364i
$323$	2.05551	−	0.469156i	0.114372	−	0.0261046i
$324$	15.4995	+	15.3781i	0.861082	+	0.854340i
$325$	0.456974	−	0.263834i	0.0253484	−	0.0146349i
$326$	−0.958532	+	5.70944i	−0.0530882	+	0.316216i
$327$	5.25250	−	3.58109i	0.290464	−	0.198035i
$328$	−1.18995	−	0.335234i	−0.0657041	−	0.0185102i
$329$	−3.73400	+	4.83409i	−0.205862	+	0.266512i
$330$	3.68367	−	14.9792i	0.202779	−	0.824577i
$331$	−8.48665	+	27.5131i	−0.466469	+	1.51225i	0.351053	+	0.936356i	$0.385824\pi$
$331$	−8.48665	+	27.5131i	−0.466469	+	1.51225i	−0.817521	+	0.575898i	$0.804652\pi$
$332$	14.7043	+	10.7632i	0.807003	+	0.590710i
$333$	0.828244	+	11.0522i	0.0453875	+	0.605654i
$334$	17.6394	−	29.4048i	0.965187	−	1.60896i
$335$	−12.7340	+	6.13238i	−0.695734	+	0.335048i
$336$	20.3210	−	5.14025i	1.10860	−	0.280424i
$337$	2.88666	+	1.39014i	0.157247	+	0.0757259i	0.510852	−	0.859669i	$-0.329330\pi$
$337$	2.88666	+	1.39014i	0.157247	+	0.0757259i	−0.353605	+	0.935395i	$0.615044\pi$
$338$	15.0118	−	9.87100i	0.816534	−	0.536911i
$339$	−34.4163	+	10.6160i	−1.86924	+	0.576583i
$340$	12.5862	−	10.9177i	0.682583	−	0.592096i
$341$	−0.523876	−	3.47569i	−0.0283695	−	0.188219i
$342$	0.492585	+	0.639344i	0.0266359	+	0.0345718i
$343$	−12.2076	−	13.9275i	−0.659147	−	0.752014i
$344$	6.27904	+	14.9097i	0.338543	+	0.803877i
$345$	−38.0397	+	5.73357i	−2.04799	+	0.308685i
$346$	27.6392	−	1.60668i	1.48589	−	0.0863755i
$347$	−1.62286	−	5.26119i	−0.0871198	−	0.282436i	0.901520	−	0.432736i	$-0.142452\pi$
$347$	−1.62286	−	5.26119i	−0.0871198	−	0.282436i	−0.988640	+	0.150301i	$0.951976\pi$
$348$	−31.4775	−	10.8758i	−1.68737	−	0.583003i
$349$	−3.94032	+	8.18215i	−0.210920	+	0.437980i	−0.979410	−	0.201882i	$-0.935294\pi$
$349$	−3.94032	+	8.18215i	−0.210920	+	0.437980i	0.768490	+	0.639862i	$0.221009\pi$
$350$	−3.58862	−	0.545448i	−0.191820	−	0.0291554i
$351$	0.970894	+	2.01608i	0.0518225	+	0.107611i
$352$	−6.27667	−	11.0978i	−0.334548	−	0.591514i
$353$	16.8583	−	1.26336i	0.897278	−	0.0672417i	0.381899	−	0.924204i	$-0.375270\pi$
$353$	16.8583	−	1.26336i	0.897278	−	0.0672417i	0.515379	+	0.856962i	$0.327651\pi$
$354$	−30.6589	+	8.89797i	−1.62950	+	0.472922i
$355$	21.9193	+	6.76120i	1.16335	+	0.358847i
$356$	1.94333	+	4.40682i	0.102996	+	0.233561i
$357$	14.1398	+	10.9220i	0.748359	+	0.578056i
$358$	−0.130949	+	7.82425i	−0.00692086	+	0.413524i
$359$	8.55257	+	12.5443i	0.451387	+	0.662063i	0.982720	−	0.185100i	$-0.0592609\pi$
$359$	8.55257	+	12.5443i	0.451387	+	0.662063i	−0.531333	+	0.847163i	$0.678309\pi$
$360$	5.81283	+	2.62521i	0.306363	+	0.138361i
$361$	9.30881	+	16.1233i	0.489937	+	0.848596i
$362$	−3.61996	−	27.0849i	−0.190261	−	1.42355i
$363$	2.60917	+	11.4315i	0.136946	+	0.600000i
$364$	2.86580	+	0.266638i	0.150209	+	0.0139756i
$365$	0.225113	−	0.986283i	0.0117829	−	0.0516244i
$366$	−38.5140	−	3.53524i	−2.01316	−	0.184790i
$367$	4.82228	+	0.726842i	0.251721	+	0.0379408i	0.273691	−	0.961818i	$-0.411756\pi$
$367$	4.82228	+	0.726842i	0.251721	+	0.0379408i	−0.0219695	+	0.999759i	$0.506994\pi$
$368$	−19.6288	+	25.0146i	−1.02322	+	1.30398i
$369$	0.274376	−	0.295707i	0.0142834	−	0.0153939i
$370$	−17.3765	−	37.6831i	−0.903361	−	1.95905i
$371$	1.77887	−	3.19439i	0.0923542	−	0.165845i
$372$	6.17421	+	0.206725i	0.320118	+	0.0107182i
$373$	11.9714	−	20.7351i	0.619857	−	1.07362i	−0.369655	−	0.929169i	$-0.620524\pi$
$373$	11.9714	−	20.7351i	0.619857	−	1.07362i	0.989512	−	0.144454i	$-0.0461426\pi$
$374$	4.13916	−	10.0486i	0.214031	−	0.519602i
$375$	13.2650	+	14.2963i	0.685002	+	0.738256i
$376$	−3.54470	+	5.48420i	−0.182804	+	0.282826i
$377$	−3.57525	−	2.85117i	−0.184135	−	0.146842i
$378$	3.44387	−	15.0028i	0.177134	−	0.771662i
$379$	−14.4090	+	11.4908i	−0.740140	+	0.590242i	−0.919290	−	0.393580i	$-0.871236\pi$
$379$	−14.4090	+	11.4908i	−0.740140	+	0.590242i	0.179151	+	0.983822i	$0.442665\pi$
$380$	−2.56497	−	1.59765i	−0.131580	−	0.0819577i
$381$	−17.4185	−	6.83625i	−0.892376	−	0.350232i
$382$	15.1779	+	16.9171i	0.776571	+	0.865553i
$383$	7.69054	+	19.5952i	0.392968	+	1.00127i	0.981272	+	0.192627i	$0.0617007\pi$
$383$	7.69054	+	19.5952i	0.392968	+	1.00127i	−0.588304	+	0.808640i	$0.700204\pi$
$384$	21.1872	−	7.29635i	1.08120	−	0.372340i
$385$	−13.8548	+	4.50989i	−0.706105	+	0.229845i
$386$	−0.220110	−	1.04465i	−0.0112033	−	0.0531712i
$387$	−5.26405	−	0.394486i	−0.267587	−	0.0200528i
$388$	−33.2071	+	1.37324i	−1.68583	+	0.0697159i
$389$	−17.1199	−	11.6722i	−0.868016	−	0.591803i	0.0453372	−	0.998972i	$-0.485564\pi$
$389$	−17.1199	−	11.6722i	−0.868016	−	0.591803i	−0.913353	+	0.407169i	$0.866516\pi$
$390$	2.68612	+	2.57734i	0.136017	+	0.130508i
$391$	−27.1029			−1.37065
$392$	−14.2523	−	13.7431i	−0.719848	−	0.694131i
$393$	10.1426			0.511628
$394$	3.98416	+	3.82281i	0.200719	+	0.192590i
$395$	13.3494	+	9.10143i	0.671679	+	0.457943i
$396$	4.15667	−	0.171895i	0.208880	−	0.00863803i
$397$	−21.9690	−	1.64635i	−1.10259	−	0.0826277i	−0.489024	−	0.872271i	$-0.662647\pi$
$397$	−21.9690	−	1.64635i	−1.10259	−	0.0826277i	−0.613567	+	0.789643i	$0.710266\pi$
$398$	0.465313	+	2.20839i	0.0233240	+	0.110697i
$399$	1.13699	−	3.03442i	0.0569205	−	0.151911i
$400$	−3.87176	−	0.259559i	−0.193588	−	0.0129780i
$401$	8.93137	+	22.7568i	0.446011	+	1.13642i	0.960342	+	0.278826i	$0.0899452\pi$
$401$	8.93137	+	22.7568i	0.446011	+	1.13642i	−0.514331	+	0.857592i	$0.671960\pi$
$402$	−10.8202	−	12.0601i	−0.539665	−	0.601502i
$403$	0.789624	+	0.309904i	0.0393340	+	0.0154374i
$404$	−22.3251	−	13.9057i	−1.11071	−	0.691834i
$405$	20.8548	−	16.6312i	1.03628	−	0.826409i
$406$	6.96183	+	30.6770i	0.345510	+	1.52248i
$407$	−21.1615	−	16.8757i	−1.04894	−	0.836499i
$408$	16.0414	+	10.3683i	0.794168	+	0.513308i
$409$	−6.88776	−	7.42324i	−0.340578	−	0.367056i	0.539417	−	0.842039i	$-0.318645\pi$
$409$	−6.88776	−	7.42324i	−0.340578	−	0.367056i	−0.879995	+	0.474983i	$0.842454\pi$
$410$	−0.575239	+	1.39651i	−0.0284090	+	0.0689685i
$411$	8.85834	−	15.3431i	0.436950	−	0.756819i
$412$	21.3065	+	0.713384i	1.04970	+	0.0351459i
$413$	22.4197	+	20.1651i	1.10320	+	0.992259i
$414$	−4.34454	−	9.42168i	−0.213523	−	0.463050i
$415$	15.1423	−	16.3195i	0.743305	−	0.801092i
$416$	3.07678	+	0.0273033i	0.150852	+	0.00133866i
$417$	−17.8980	−	2.69768i	−0.876467	−	0.132106i
$418$	−1.96278	−	0.180166i	−0.0960029	−	0.00881221i
$419$	−1.94156	+	8.50654i	−0.0948516	+	0.415572i	−0.999954	−	0.00962234i	$-0.996937\pi$
$419$	−1.94156	+	8.50654i	−0.0948516	+	0.415572i	0.905102	+	0.425194i	$0.139794\pi$
$420$	−3.36092	−	25.3864i	−0.163996	−	1.23873i
$421$	−2.74897	−	12.0440i	−0.133977	−	0.586991i	−0.996690	−	0.0812970i	$-0.974094\pi$
$421$	−2.74897	−	12.0440i	−0.133977	−	0.586991i	0.862713	−	0.505694i	$-0.168763\pi$
$422$	2.18262	+	16.3306i	0.106248	+	0.794959i
$423$	−1.06537	−	1.84527i	−0.0517998	−	0.0897200i
$424$	1.60882	−	3.56230i	0.0781312	−	0.173001i
$425$	−1.86326	−	2.73290i	−0.0903814	−	0.132565i
$426$	−0.440036	+	26.2923i	−0.0213198	+	1.27387i
$427$	16.3586	+	32.6644i	0.791648	+	1.58074i
$428$	2.51395	+	5.70080i	0.121517	+	0.275559i
$429$	2.32025	+	0.715702i	0.112023	+	0.0345544i
$430$	18.9812	−	5.50881i	0.915354	−	0.265658i
$431$	24.8997	−	1.86598i	1.19938	−	0.0898809i	0.539982	−	0.841677i	$-0.318431\pi$
$431$	24.8997	−	1.86598i	1.19938	−	0.0898809i	0.659396	+	0.751796i	$0.270812\pi$
$432$	2.32463	−	16.2908i	0.111844	−	0.783792i
$433$	2.43755	+	5.06161i	0.117141	+	0.243246i	0.951293	−	0.308289i	$-0.0997565\pi$
$433$	2.43755	+	5.06161i	0.117141	+	0.243246i	−0.834152	+	0.551535i	$0.814042\pi$
$434$	−2.91133	−	5.05703i	−0.139748	−	0.242745i
$435$	−17.6532	+	36.6572i	−0.846405	+	1.75758i
$436$	−6.06734	−	2.09632i	−0.290573	−	0.100396i
$437$	1.44888	+	4.69716i	0.0693094	+	0.224696i
$438$	1.15778	−	0.0673020i	0.0553206	−	0.00321581i
$439$	−0.544383	+	0.0820526i	−0.0259820	+	0.00391616i	−0.162020	−	0.986787i	$-0.551801\pi$
$439$	−0.544383	+	0.0820526i	−0.0259820	+	0.00391616i	0.136038	+	0.990704i	$0.456563\pi$
$440$	−14.3552	+	6.04554i	−0.684359	+	0.288210i
$441$	6.11137	−	2.09459i	0.291017	−	0.0997423i
$442$	1.60069	+	2.07759i	0.0761369	+	0.0988209i
$443$	−0.445047	−	2.95269i	−0.0211448	−	0.140287i	0.975767	−	0.218810i	$-0.0702175\pi$
$443$	−0.445047	−	2.95269i	−0.0211448	−	0.140287i	−0.996912	+	0.0785235i	$0.974979\pi$
$444$	35.9350	−	31.1712i	1.70540	−	1.47932i
$445$	5.62260	−	1.73434i	0.266537	−	0.0822157i
$446$	−21.6995	+	14.2685i	−1.02750	+	0.675631i
$447$	19.6705	+	9.47281i	0.930382	+	0.448049i
$448$	−16.4139	−	13.3635i	−0.775486	−	0.631365i
$449$	10.3409	−	4.97994i	0.488019	−	0.235018i	−0.173659	−	0.984806i	$-0.555559\pi$
$449$	10.3409	−	4.97994i	0.488019	−	0.235018i	0.661678	+	0.749788i	$0.269845\pi$
$450$	0.651351	−	1.08580i	0.0307050	−	0.0511849i
$451$	0.0736195	+	0.982383i	0.00346660	+	0.0462586i
$452$	29.3467	+	21.4812i	1.38035	+	1.01039i
$453$	4.92304	−	15.9601i	0.231305	−	0.749871i
$454$	−6.60188	+	26.8457i	−0.309841	+	1.25993i
$455$	0.729228	−	3.43980i	0.0341867	−	0.161260i
$456$	0.939365	−	3.33438i	0.0439898	−	0.156147i
$457$	−10.8206	+	7.37736i	−0.506166	+	0.345098i	−0.789326	−	0.613975i	$-0.789570\pi$
$457$	−10.8206	+	7.37736i	−0.506166	+	0.345098i	0.283160	+	0.959073i	$0.408617\pi$
$458$	2.10633	−	12.5463i	0.0984226	−	0.586248i
$459$	12.1475	−	7.01335i	0.566996	−	0.327355i
$460$	27.5757	+	27.3598i	1.28572	+	1.27566i
$461$	12.4723	−	2.84671i	0.580891	−	0.132584i	0.0780285	−	0.996951i	$-0.475137\pi$
$461$	12.4723	−	2.84671i	0.580891	−	0.132584i	0.502862	+	0.864367i	$0.332280\pi$
$462$	−9.39206	−	13.8124i	−0.436958	−	0.642610i
$463$	−25.2207	−	5.75646i	−1.17211	−	0.267526i	−0.408224	−	0.912882i	$-0.633852\pi$
$463$	−25.2207	−	5.75646i	−1.17211	−	0.267526i	−0.763882	+	0.645356i	$0.776709\pi$
$464$	10.1646	+	32.0561i	0.471881	+	1.48817i
$465$	1.12485	−	7.46291i	0.0521638	−	0.346084i
$466$	1.51311	+	2.72510i	0.0700934	+	0.126238i
$467$	15.6475	+	14.5187i	0.724078	+	0.671846i	0.953470	−	0.301488i	$-0.0974834\pi$
$467$	15.6475	+	14.5187i	0.724078	+	0.671846i	−0.229392	+	0.973334i	$0.573674\pi$
$468$	−0.465638	+	0.889474i	−0.0215241	+	0.0411160i
$469$	−4.28389	+	14.6925i	−0.197811	+	0.678437i
$470$	6.15310	+	5.07768i	0.283821	+	0.234216i
$471$	−23.5192	−	13.5788i	−1.08371	−	0.625680i
$472$	25.6899	+	19.4730i	1.18247	+	0.896318i
$473$	9.45020	−	8.76850i	0.434521	−	0.403176i
$474$	−5.75479	+	17.6051i	−0.264326	+	0.808627i
$475$	−0.374027	+	0.469015i	−0.0171615	+	0.0215199i
$476$	0.324270	−	18.0387i	0.0148629	−	0.826801i
$477$	0.795206	+	0.997157i	0.0364100	+	0.0456567i
$478$	−10.1326	+	3.78232i	−0.463454	+	0.173000i
$479$	−6.36701	+	16.2229i	−0.290916	+	0.741242i	0.708454	+	0.705757i	$0.249393\pi$
$479$	−6.36701	+	16.2229i	−0.290916	+	0.741242i	−0.999370	+	0.0354851i	$0.988702\pi$
$480$	−5.85466	−	26.7426i	−0.267228	−	1.22063i
$481$	6.08043	−	2.38639i	0.277244	−	0.108810i
$482$	−3.83769	+	7.63932i	−0.174802	+	0.347961i
$483$	−22.9293	+	34.7769i	−1.04332	+	1.58240i
$484$	7.68786	−	9.00480i	0.349448	−	0.409309i
$485$	−3.03430	+	40.4899i	−0.137781	+	1.83855i
$486$	10.7190	+	7.57388i	0.486222	+	0.343558i
$487$	5.40336	−	7.92527i	0.244849	−	0.359128i	−0.684066	−	0.729420i	$-0.739790\pi$
$487$	5.40336	−	7.92527i	0.244849	−	0.359128i	0.928915	+	0.370292i	$0.120742\pi$
$488$	20.3529	+	33.3314i	0.921333	+	1.50884i
$489$			8.10808i			0.366660i
$490$	−18.6942	+	15.3492i	−0.844519	+	0.693405i
$491$			23.3351i			1.05310i	0.850145	+	0.526549i	$0.176514\pi$
$491$			23.3351i			1.05310i	−0.850145	+	0.526549i	$0.823486\pi$
$492$	−1.72128	−	0.187094i	−0.0776014	−	0.00843483i
$493$	−16.1475	+	23.6840i	−0.727247	+	1.06668i
$494$	0.274493	−	0.388477i	0.0123500	−	0.0174784i
$495$	0.379816	−	5.06829i	0.0170715	−	0.227803i
$496$	−3.55444	−	5.12636i	−0.159599	−	0.230180i
$497$	21.3155	−	12.7509i	0.956131	−	0.571956i
$498$	22.8052	+	11.4564i	1.02193	+	0.513374i
$499$	15.1651	−	5.95185i	0.678881	−	0.266441i	−0.000745017	−	1.00000i	$-0.500237\pi$
$499$	15.1651	−	5.95185i	0.678881	−	0.266441i	0.679626	+	0.733558i	$0.262142\pi$
$500$	3.58509	−	19.3640i	0.160330	−	0.865985i
$501$	17.5450	−	44.7038i	0.783851	−	1.99722i
$502$	−7.79694	−	20.8875i	−0.347994	−	0.932254i
$503$	−26.2345	−	32.8971i	−1.16974	−	1.46681i	−0.855756	−	0.517380i	$-0.826907\pi$
$503$	−26.2345	−	32.8971i	−1.16974	−	1.46681i	−0.313985	−	0.949428i	$-0.601664\pi$
$504$	6.32269	−	2.77884i	0.281635	−	0.123779i
$505$	−20.0343	+	25.1222i	−0.891514	+	1.11792i
$506$	24.0835	+	7.87247i	1.07064	+	0.349974i
$507$	18.4452	−	17.1147i	0.819182	−	0.760089i
$508$	4.96207	+	18.2318i	0.220156	+	0.808903i
$509$	−11.5840	−	6.68802i	−0.513452	−	0.296441i	0.220800	−	0.975319i	$-0.429133\pi$
$509$	−11.5840	−	6.68802i	−0.513452	−	0.296441i	−0.734251	+	0.678878i	$0.762467\pi$
$510$	14.8523	−	17.9979i	0.657672	−	0.796962i
$511$	−0.631031	−	0.895421i	−0.0279152	−	0.0396111i
$512$	−18.6827	−	12.7654i	−0.825668	−	0.564157i
$513$	−1.86486	−	1.73034i	−0.0823355	−	0.0763962i
$514$	8.18678	−	4.54570i	0.361103	−	0.200502i
$515$	3.88174	−	25.7537i	0.171050	−	1.13484i
$516$	12.1298	+	19.1371i	0.533986	+	0.842465i
$517$	5.07308	+	1.15790i	0.223114	+	0.0509242i
$518$	−42.9207	−	13.2976i	−1.88583	−	0.584261i
$519$	37.8024	−	8.62814i	1.65934	−	0.378733i
$520$	0.468670	−	3.72969i	0.0205525	−	0.163558i
$521$	−20.9748	+	12.1098i	−0.918921	+	0.530539i	−0.883291	−	0.468826i	$-0.844677\pi$
$521$	−20.9748	+	12.1098i	−0.918921	+	0.530539i	−0.0356300	+	0.999365i	$0.511344\pi$
$522$	−10.8216	−	1.81679i	−0.473649	−	0.0795188i
$523$	21.3585	−	14.5620i	0.933943	−	0.636751i	0.00224949	−	0.999997i	$-0.499284\pi$
$523$	21.3585	−	14.5620i	0.933943	−	0.636751i	0.931693	+	0.363246i	$0.118332\pi$
$524$	−6.11414	−	8.21657i	−0.267097	−	0.358943i
$525$	−5.08304	+	0.0787680i	−0.221842	+	0.00343772i
$526$	35.0664	+	8.62350i	1.52897	+	0.376002i
$527$	1.56728	−	5.08101i	0.0682720	−	0.221332i
$528$	−11.2426	−	13.8727i	−0.489273	−	0.603732i
$529$	−3.00332	−	40.0765i	−0.130579	−	1.74246i
$530$	−4.09498	−	2.45651i	−0.177875	−	0.106704i
$531$	−9.47689	+	4.56383i	−0.411262	+	0.198053i
$532$	−3.14359	+	0.908122i	−0.136292	+	0.0393721i
$533$	−0.214199	−	0.103153i	−0.00927798	−	0.00446804i
$534$	3.70597	+	5.63603i	0.160373	+	0.243895i
$535$	7.27357	−	2.24360i	0.314464	−	0.0969993i
$536$	−3.24728	+	16.0355i	−0.140261	+	0.692628i
$537$	1.63344	+	10.8371i	0.0704879	+	0.467657i
$538$	6.10987	−	4.70737i	0.263415	−	0.202949i
$539$	−6.40169	+	14.4199i	−0.275740	+	0.621110i
$540$	−19.4392	−	5.12692i	−0.836531	−	0.220627i
$541$	7.12634	−	1.07412i	0.306385	−	0.0461802i	0.00594985	−	0.999982i	$-0.498106\pi$
$541$	7.12634	−	1.07412i	0.306385	−	0.0461802i	0.300435	+	0.953802i	$0.402868\pi$
$542$	2.19062	+	37.6846i	0.0940952	+	1.61869i
$543$	−11.2803	−	36.5699i	−0.484085	−	1.56937i
$544$	−1.27061	−	19.2454i	−0.0544771	−	0.825138i
$545$	−3.40268	+	7.06574i	−0.145755	+	0.302663i
$546$	4.02004	−	0.296249i	0.172042	−	0.0126783i
$547$	−14.3641	−	29.8273i	−0.614164	−	1.27532i	−0.943582	−	0.331140i	$-0.892567\pi$
$547$	−14.3641	−	29.8273i	−0.614164	−	1.27532i	0.329418	−	0.944184i	$-0.393147\pi$
$548$	−17.7694	+	2.07289i	−0.759072	+	0.0885496i
$549$	−12.7076	+	0.952302i	−0.542347	+	0.0406433i
$550$	0.861865	+	2.96965i	0.0367500	+	0.126626i
$551$	4.96786	+	1.53238i	0.211638	+	0.0652817i
$552$	−21.3107	+	39.1015i	−0.907042	+	1.66427i
$553$	16.9939	−	4.15680i	0.722656	−	0.176765i
$554$	−33.3629	−	0.558370i	−1.41745	−	0.0237229i
$555$	−32.7383	−	48.0182i	−1.38966	−	2.03826i
$556$	8.60377	+	16.1254i	0.364881	+	0.683868i
$557$	−8.75525	−	15.1645i	−0.370972	−	0.642542i	0.618743	−	0.785593i	$-0.287642\pi$
$557$	−8.75525	−	15.1645i	−0.370972	−	0.642542i	−0.989715	+	0.143051i	$0.954309\pi$
$558$	2.01753	−	0.269647i	0.0854087	−	0.0114151i
$559$	0.692289	+	3.03312i	0.0292807	+	0.128287i
$560$	−18.5396	+	18.0260i	−0.783440	+	0.761738i
$561$	3.38687	−	14.8389i	0.142994	−	0.626497i
$562$	0.0861303	−	0.938330i	0.00363319	−	0.0395811i
$563$	−22.9932	−	3.46566i	−0.969047	−	0.146060i	−0.354600	−	0.935018i	$-0.615383\pi$
$563$	−22.9932	−	3.46566i	−0.969047	−	0.146060i	−0.614447	+	0.788958i	$0.710621\pi$
$564$	−3.62421	+	8.39668i	−0.152607	+	0.353564i
$565$	30.2208	−	32.5703i	1.27140	−	1.37024i
$566$	−26.2353	+	12.0976i	−1.10275	+	0.508502i
$567$	1.71193	−	28.8328i	0.0718944	−	1.21086i
$568$	21.5647	−	15.4930i	0.904836	−	0.650070i
$569$	−2.87195	+	4.97437i	−0.120399	+	0.208536i	−0.919925	−	0.392095i	$-0.871751\pi$
$569$	−2.87195	+	4.97437i	−0.120399	+	0.208536i	0.799526	+	0.600631i	$0.205084\pi$
$570$	−3.91318	−	1.61189i	−0.163905	−	0.0675145i
$571$	1.29568	+	1.39641i	0.0542223	+	0.0584378i	0.759580	−	0.650413i	$-0.225404\pi$
$571$	1.29568	+	1.39641i	0.0542223	+	0.0584378i	−0.705358	+	0.708851i	$0.749214\pi$
$572$	−0.818890	−	2.31108i	−0.0342395	−	0.0966309i
$573$	24.8864	+	19.8462i	1.03964	+	0.829087i
$574$	0.707761	+	1.47435i	0.0295414	+	0.0615383i
$575$	6.02915	−	4.80808i	0.251433	−	0.200511i
$576$	6.48652	−	3.52669i	0.270272	−	0.146946i
$577$	−33.3453	−	13.0871i	−1.38818	−	0.544822i	−0.450645	−	0.892703i	$-0.648806\pi$
$577$	−33.3453	−	13.0871i	−1.38818	−	0.544822i	−0.937539	+	0.347881i	$0.886901\pi$
$578$	−5.65800	+	5.07633i	−0.235342	+	0.211148i
$579$	−0.546248	−	1.39182i	−0.0227013	−	0.0578420i
$580$	40.3377	−	7.79665i	1.67493	−	0.323738i
$581$	−2.17371	−	24.0080i	−0.0901808	−	0.996021i
$582$	−45.5469	+	9.59683i	−1.88798	+	0.397801i
$583$	−3.10602	−	0.232764i	−0.128638	−	0.00964011i
$584$	−0.752446	−	0.897346i	−0.0311365	−	0.0371324i
$585$	1.01343	+	0.690944i	0.0419001	+	0.0285670i
$586$	−30.9582	+	32.2649i	−1.27887	+	1.33285i
$587$	7.24174			0.298899			0.149449	−	0.988769i	$-0.452250\pi$
$587$	7.24174			0.298899			0.149449	+	0.988769i	$0.452250\pi$
$588$	−22.8719	−	15.6770i	−0.943220	−	0.646508i
$589$	−0.964366			−0.0397360
$590$	27.2663	−	28.4172i	1.12254	−	1.16992i
$591$	6.38932	+	4.35617i	0.262822	+	0.179189i
$592$	−46.9140	−	10.3205i	−1.92815	−	0.424170i
$593$	−6.37409	−	0.477672i	−0.261752	−	0.0196156i	−0.0567926	−	0.998386i	$-0.518087\pi$
$593$	−6.37409	−	0.477672i	−0.261752	−	0.0196156i	−0.204960	+	0.978770i	$0.565706\pi$
$594$	−12.8313	+	2.70359i	−0.526475	+	0.110929i
$595$	−21.8433	−	2.94698i	−0.895490	−	0.120814i
$596$	−4.18373	−	21.6455i	−0.171372	−	0.886633i
$597$	1.15477	+	2.94231i	0.0472616	+	0.120421i
$598$	−4.55135	+	4.08345i	−0.186119	+	0.166985i
$599$	−21.5679	−	8.46479i	−0.881242	−	0.345862i	−0.118800	−	0.992918i	$-0.537905\pi$
$599$	−21.5679	−	8.46479i	−0.881242	−	0.345862i	−0.762442	+	0.647056i	$0.776000\pi$
$600$	−5.40782	+	0.539290i	−0.220773	+	0.0220164i
$601$	10.7958	−	8.60933i	0.440368	−	0.351182i	−0.378070	−	0.925777i	$-0.623412\pi$
$601$	10.7958	−	8.60933i	0.440368	−	0.351182i	0.818438	+	0.574595i	$0.194841\pi$
$602$	9.30961	−	19.2705i	0.379431	−	0.785405i
$603$	−4.17384	−	3.32853i	−0.169972	−	0.135548i
$604$	−15.8970	+	5.63283i	−0.646840	+	0.229197i
$605$	−9.83871	−	10.6036i	−0.400001	−	0.431098i
$606$	−34.0597	−	14.0296i	−1.38358	−	0.569914i
$607$	−11.9403	+	20.6812i	−0.484641	+	0.839422i	−0.999844	−	0.0176455i	$-0.994383\pi$
$607$	−11.9403	+	20.6812i	−0.484641	+	0.839422i	0.515204	+	0.857068i	$0.327716\pi$
$608$	−3.26746	+	1.24904i	−0.132513	+	0.0506551i
$609$	16.7291	+	40.7565i	0.677896	+	1.65154i
$610$	43.3274	−	19.9792i	1.75428	−	0.808935i
$611$	−0.854139	+	0.920543i	−0.0345548	+	0.0372412i
$612$	5.77812	+	2.49398i	0.233567	+	0.100813i
$613$	32.0714	+	4.83399i	1.29535	+	0.195243i	0.760298	−	0.649575i	$-0.225053\pi$
$613$	32.0714	+	4.83399i	1.29535	+	0.195243i	0.535054	+	0.844818i	$0.320291\pi$
$614$	0.264591	−	2.88254i	0.0106780	−	0.116330i
$615$	−0.470690	+	2.06223i	−0.0189801	+	0.0831570i
$616$	−5.52776	+	15.9348i	−0.222720	+	0.642033i
$617$	3.45500	+	15.1374i	0.139093	+	0.609407i	0.995635	+	0.0933298i	$0.0297511\pi$
$617$	3.45500	+	15.1374i	0.139093	+	0.609407i	−0.856542	+	0.516077i	$0.827392\pi$
$618$	29.5938	−	3.95528i	1.19044	−	0.159105i
$619$	−11.5873	−	20.0697i	−0.465731	−	0.806670i	0.533503	−	0.845798i	$-0.320875\pi$
$619$	−11.5873	−	20.0697i	−0.465731	−	0.806670i	−0.999234	+	0.0391284i	$0.987542\pi$
$620$	−6.72380	+	3.58751i	−0.270034	+	0.144078i
$621$	18.4219	+	27.0200i	0.739247	+	1.08428i
$622$	−18.6532	−	0.312185i	−0.747926	−	0.0125175i
$623$	2.67515	−	5.78253i	0.107178	−	0.231672i
$624$	4.25595	−	0.675738i	0.170374	−	0.0270512i
$625$	−27.6251	−	8.52121i	−1.10500	−	0.340848i
$626$	6.22511	+	21.4493i	0.248805	+	0.857286i
$627$	−2.75275	+	0.206290i	−0.109934	+	0.00823844i
$628$	3.17751	+	27.2385i	0.126797	+	1.08694i
$629$	−17.7654	−	36.8902i	−0.708352	−	1.47091i
$630$	−2.47700	−	8.06571i	−0.0986859	−	0.321346i
$631$	−2.04894	+	4.25467i	−0.0815670	+	0.169376i	−0.937763	−	0.347275i	$-0.887107\pi$
$631$	−2.04894	+	4.25467i	−0.0815670	+	0.169376i	0.856196	+	0.516651i	$0.172821\pi$
$632$	17.7310	−	5.95063i	0.705300	−	0.236703i
$633$	6.80137	+	22.0495i	0.270330	+	0.876388i
$634$	−0.282604	−	4.86155i	−0.0112236	−	0.193077i
$635$	22.8260	−	3.44046i	0.905820	−	0.136530i
$636$	1.39605	−	5.29327i	0.0553571	−	0.209892i
$637$	−2.24127	−	3.07791i	−0.0888024	−	0.121951i
$638$	21.2280	−	16.3552i	0.840423	−	0.647507i
$639$	1.29133	+	8.56744i	0.0510844	+	0.338923i
$640$	−18.1350	+	20.8638i	−0.716849	+	0.824712i
$641$	2.49794	−	0.770511i	0.0986626	−	0.0304334i	−0.245031	−	0.969515i	$-0.578798\pi$
$641$	2.49794	−	0.770511i	0.0986626	−	0.0304334i	0.343693	+	0.939082i	$0.388322\pi$
$642$	4.79416	+	7.29095i	0.189210	+	0.287751i
$643$	42.1876	+	20.3165i	1.66372	+	0.801204i	0.998511	+	0.0545447i	$0.0173707\pi$
$643$	42.1876	+	20.3165i	1.66372	+	0.801204i	0.665206	+	0.746660i	$0.268344\pi$
$644$	41.9950	−	2.38896i	1.65484	−	0.0941380i
$645$	24.9392	−	12.0101i	0.981981	−	0.472897i
$646$	−2.55691	−	1.53384i	−0.100600	−	0.0603483i
$647$	−0.582018	−	7.76649i	−0.0228815	−	0.305332i	−0.996889	−	0.0788169i	$-0.974886\pi$
$647$	−0.582018	−	7.76649i	−0.0228815	−	0.305332i	0.974008	−	0.226515i	$-0.0727333\pi$
$648$	−0.759385	−	30.8685i	−0.0298314	−	1.21263i
$649$	7.57161	−	24.5465i	0.297212	−	0.963536i
$650$	−0.724645	−	0.178204i	−0.0284229	−	0.00698974i
$651$	−5.19373	−	6.30964i	−0.203558	−	0.247294i
$652$	6.56837	−	4.88768i	0.257237	−	0.191416i
$653$	21.8903	−	14.9245i	0.856632	−	0.584042i	−0.0534031	−	0.998573i	$-0.517007\pi$
$653$	21.8903	−	14.9245i	0.856632	−	0.584042i	0.910035	+	0.414531i	$0.136054\pi$
$654$	−8.86624	−	1.48851i	−0.346698	−	0.0582055i
$655$	−10.8360	+	6.25617i	−0.423397	+	0.244449i
$656$	0.886051	+	1.50720i	0.0345945	+	0.0588462i
$657$	0.372536	−	0.0850289i	0.0145340	−	0.00331729i
$658$	8.54353	−	1.27690i	0.333062	−	0.0497787i
$659$	−0.779315	−	0.177874i	−0.0303578	−	0.00692897i	0.207315	−	0.978274i	$-0.433527\pi$
$659$	−0.779315	−	0.177874i	−0.0303578	−	0.00692897i	−0.237673	+	0.971345i	$0.576385\pi$
$660$	−18.4255	+	11.6787i	−0.717210	+	0.454595i
$661$	−2.35134	+	15.6001i	−0.0914566	+	0.606775i	0.895411	+	0.445241i	$0.146882\pi$
$661$	−2.35134	+	15.6001i	−0.0914566	+	0.606775i	−0.986867	+	0.161533i	$0.948356\pi$
$662$	35.5989	−	19.7662i	1.38359	−	0.768236i
$663$	2.69261	+	2.49838i	0.104572	+	0.0970288i
$664$	−4.46646	−	25.3807i	−0.173332	−	0.984960i
$665$	0.656976	+	3.94317i	0.0254765	+	0.152910i
$666$	9.97623	−	12.0891i	0.386571	−	0.468444i
$667$	−57.8769	−	33.4153i	−2.24100	−	1.29384i
$668$	−46.7911	+	12.7349i	−1.81040	+	0.492730i
$669$	−26.6625	+	24.7392i	−1.03083	+	0.956471i
$670$	18.9988	+	6.21038i	0.733987	+	0.239928i
$671$	19.4035	−	24.3312i	0.749062	−	0.939294i
$672$	−25.7695	−	14.6514i	−0.994081	−	0.565190i
$673$	24.3868	+	30.5800i	0.940041	+	1.17877i	0.983716	+	0.179728i	$0.0575217\pi$
$673$	24.3868	+	30.5800i	0.940041	+	1.17877i	−0.0436758	+	0.999046i	$0.513907\pi$
$674$	−1.58457	−	4.24497i	−0.0610355	−	0.163510i
$675$	−1.45808	+	3.71512i	−0.0561214	+	0.142995i
$676$	−24.9837	−	4.62553i	−0.960912	−	0.177905i
$677$	−23.6470	+	9.28078i	−0.908830	+	0.356689i	−0.773268	−	0.634080i	$-0.781379\pi$
$677$	−23.6470	+	9.28078i	−0.908830	+	0.356689i	−0.135562	+	0.990769i	$0.543284\pi$
$678$	45.5145	+	22.8646i	1.74797	+	0.878111i
$679$	30.4005	+	31.7624i	1.16667	+	1.21893i
$680$	−23.5334	−	1.18247i	−0.902464	−	0.0453456i
$681$	−2.89341	+	38.6099i	−0.110876	+	1.47953i
$682$	−2.86854	+	4.05971i	−0.109842	+	0.155454i
$683$	−15.7842	+	23.1511i	−0.603965	+	0.885853i	−0.999468	−	0.0326111i	$-0.989618\pi$
$683$	−15.7842	+	23.1511i	−0.603965	+	0.885853i	0.395504	+	0.918464i	$0.370570\pi$
$684$	0.123338	−	1.13472i	0.00471593	−	0.0433871i
$685$			21.8560i			0.835073i
$686$	−1.17952	+	26.1650i	−0.0450343	+	0.998985i
$687$		−	17.8172i		−	0.679768i
$688$	8.19098	−	21.3625i	0.312278	−	0.814439i
$689$	0.423435	−	0.621065i	0.0161316	−	0.0236607i
$690$	44.4315	+	31.3948i	1.69148	+	1.19518i
$691$	−1.27486	+	17.0118i	−0.0484978	+	0.647159i	0.918996	+	0.394266i	$0.129001\pi$
$691$	−1.27486	+	17.0118i	−0.0484978	+	0.647159i	−0.967494	+	0.252893i	$0.918618\pi$
$692$	−29.7775	−	25.4226i	−1.13197	−	0.966422i
$693$	−3.80536	−	3.97583i	−0.144554	−	0.151029i
$694$	−3.49530	+	6.95777i	−0.132680	+	0.264113i
$695$	20.7855	−	8.15769i	0.788437	−	0.309439i
$696$	21.4725	+	41.9185i	0.813913	+	1.58892i
$697$	−0.544456	+	1.38725i	−0.0206227	+	0.0525459i
$698$	12.0322	−	4.49142i	0.455426	−	0.170003i
$699$	2.72179	+	3.41302i	0.102948	+	0.129092i
$700$	3.12794	+	4.07030i	0.118225	+	0.153843i
$701$	12.6583	−	15.8730i	0.478098	−	0.599516i	−0.483035	−	0.875601i	$-0.660466\pi$
$701$	12.6583	−	15.8730i	0.478098	−	0.599516i	0.961133	+	0.276085i	$0.0890371\pi$
$702$	0.983243	−	3.00794i	0.0371101	−	0.113527i
$703$	−5.44366	+	5.05098i	−0.205311	+	0.190501i
$704$	−4.46106	+	17.4704i	−0.168133	+	0.658439i
$705$	9.67602	+	5.58645i	0.364420	+	0.210398i
$706$	−18.4401	−	15.2172i	−0.694001	−	0.572706i
$707$	5.71822	+	34.3207i	0.215056	+	1.29076i
$708$	39.9981	+	20.9389i	1.50322	+	0.786932i
$709$	15.3201	+	14.2150i	0.575360	+	0.533856i	0.913287	−	0.407316i	$-0.133535\pi$
$709$	15.3201	+	14.2150i	0.575360	+	0.533856i	−0.337927	+	0.941172i	$0.609726\pi$
$710$	−15.7475	−	28.3611i	−0.590992	−	1.06437i
$711$	−0.909559	+	6.03453i	−0.0341111	+	0.226312i
$712$	2.33175	−	6.39970i	0.0873859	−	0.239839i
$713$	12.0860	+	2.75856i	0.452625	+	0.103309i
$714$	−3.73496	−	24.9900i	−0.139777	−	0.935228i
$715$	−2.92032	+	0.666544i	−0.109214	+	0.0249274i
$716$	7.79453	−	7.85604i	0.291295	−	0.293594i
$717$	−13.1180	+	7.57367i	−0.489900	+	0.282844i
$718$	3.55495	−	21.1749i	0.132670	−	0.790239i
$719$	−15.2513	+	10.3981i	−0.568777	+	0.387785i	−0.813288	−	0.581861i	$-0.802325\pi$
$719$	−15.2513	+	10.3981i	−0.568777	+	0.387785i	0.244512	+	0.969646i	$0.421372\pi$
$720$	−3.36130	−	8.37037i	−0.125268	−	0.311945i
$721$	−17.9230	−	21.7739i	−0.667487	−	0.810901i
$722$	6.28754	−	25.5675i	0.233998	−	0.951524i
$723$	−3.52915	+	11.4412i	−0.131251	+	0.425504i
$724$	−22.8254	+	31.1831i	−0.848300	+	1.15891i
$725$	−0.609498	−	8.13319i	−0.0226362	−	0.302059i
$726$	8.53034	−	14.2200i	0.316591	−	0.527754i
$727$	−16.5985	+	7.99343i	−0.615605	+	0.296460i	−0.715581	−	0.698530i	$-0.753838\pi$
$727$	−16.5985	+	7.99343i	−0.615605	+	0.296460i	0.0999757	+	0.994990i	$0.468124\pi$
$728$	−2.66334	−	3.07806i	−0.0987098	−	0.114081i
$729$	−12.9464	−	6.23464i	−0.479495	−	0.230913i
$730$	−1.19541	+	0.786040i	−0.0442441	+	0.0290926i
$731$	18.6353	−	5.74824i	0.689253	−	0.212606i
$732$	35.8402	+	41.3174i	1.32469	+	1.52714i
$733$	−1.30187	−	8.63734i	−0.0480856	−	0.319027i	−0.999923	−	0.0124234i	$-0.996045\pi$
$733$	−1.30187	−	8.63734i	−0.0480856	−	0.319027i	0.951837	−	0.306604i	$-0.0991927\pi$
$734$	−4.20923	−	5.46331i	−0.155366	−	0.201655i
$735$	−22.2611	+	25.5350i	−0.821112	+	0.941871i
$736$	44.5226	−	6.30718i	1.64113	−	0.232486i
$737$	12.8918	−	1.94313i	0.474877	−	0.0715762i
$738$	−0.569520	+	0.0331065i	−0.0209643	+	0.00121867i
$739$	4.14959	+	13.4526i	0.152645	+	0.494863i	0.999305	−	0.0372707i	$-0.0118664\pi$
$739$	4.14959	+	13.4526i	0.152645	+	0.494863i	−0.846660	+	0.532134i	$0.821390\pi$
$740$	−19.1645	+	55.4674i	−0.704502	+	2.03902i
$741$	0.289046	−	0.600210i	0.0106184	−	0.0220493i
$742$	−4.94295	+	1.51799i	−0.181461	+	0.0557271i
$743$	−0.190600	−	0.395785i	−0.00699243	−	0.0145199i	0.897443	−	0.441130i	$-0.145422\pi$
$743$	−0.190600	−	0.395785i	−0.00699243	−	0.0145199i	−0.904436	+	0.426610i	$0.859708\pi$
$744$	−6.09807	−	6.25626i	−0.223566	−	0.229366i
$745$	−26.8582	+	2.01274i	−0.984008	+	0.0737412i
$746$	−32.5184	+	9.43765i	−1.19059	+	0.345537i
$747$	8.03530	+	2.47856i	0.293996	+	0.0906859i
$748$	−14.0627	+	6.20138i	−0.514182	+	0.226745i
$749$	3.46066	−	7.48046i	0.126450	−	0.273330i
$750$	0.461531	−	27.5767i	0.0168527	−	1.00696i
$751$	23.1460	+	33.9489i	0.844609	+	1.23881i	0.969118	+	0.246596i	$0.0793121\pi$
$751$	23.1460	+	33.9489i	0.844609	+	1.23881i	−0.124509	+	0.992218i	$0.539736\pi$
$752$	8.98690	−	2.12566i	0.327718	−	0.0775149i
$753$	−15.6125	−	27.0416i	−0.568950	−	0.985450i
$754$	0.856722	+	6.41008i	0.0312000	+	0.233441i
$755$	4.58490	+	20.0878i	0.166862	+	0.731069i
$756$	−18.2039	+	11.9377i	−0.662070	+	0.434169i
$757$	4.93601	−	21.6261i	0.179402	−	0.786012i	−0.802504	−	0.596646i	$-0.796500\pi$
$757$	4.93601	−	21.6261i	0.179402	−	0.786012i	0.981907	−	0.189366i	$-0.0606433\pi$
$758$	25.9545	+	2.38239i	0.942711	+	0.0865324i
$759$	35.0893	+	5.28886i	1.27366	+	0.191973i
$760$	1.05313	+	4.14174i	0.0382010	+	0.150237i
$761$	29.1901	−	31.4594i	1.05814	−	1.14040i	0.0683806	−	0.997659i	$-0.478217\pi$
$761$	29.1901	−	31.4594i	1.05814	−	1.14040i	0.989760	−	0.142745i	$-0.0455927\pi$
$762$	11.0812	+	24.0309i	0.401428	+	0.870547i
$763$	3.22455	+	7.85588i	0.116737	+	0.284402i
$764$	1.07558	−	32.1241i	0.0389130	−	1.16221i
$765$	3.84428	−	6.65849i	0.138990	−	0.240738i
$766$	11.3383	−	27.5259i	0.409668	−	0.994551i
$767$	4.21654	+	4.54435i	0.152250	+	0.164087i
$768$	−28.7645	−	13.2993i	−1.03795	−	0.479896i
$769$	3.40855	+	2.71823i	0.122915	+	0.0980217i	0.683018	−	0.730401i	$-0.260667\pi$
$769$	3.40855	+	2.71823i	0.122915	+	0.0980217i	−0.560103	+	0.828423i	$0.689238\pi$
$770$	18.5538	+	8.96341i	0.668634	+	0.323019i
$771$	10.2534	−	8.17683i	0.369268	−	0.294481i
$772$	−0.798228	+	1.28153i	−0.0287288	+	0.0461231i
$773$	26.8433	+	10.5352i	0.965487	+	0.378926i	0.795118	−	0.606455i	$-0.207409\pi$
$773$	26.8433	+	10.5352i	0.965487	+	0.378926i	0.170369	+	0.985380i	$0.445504\pi$
$774$	4.98545	+	5.55670i	0.179198	+	0.199731i
$775$	0.552728	+	1.40833i	0.0198546	+	0.0505887i
$776$	35.2308	+	31.1125i	1.26471	+	1.11687i
$777$	−62.3650	−	8.41394i	−2.23733	−	0.301848i
$778$	6.04156	+	28.6734i	0.216600	+	1.02799i
$779$	0.269528	+	0.0201983i	0.00965684	+	0.000723680i
$780$	−0.217525	−	5.26009i	−0.00778866	−	0.188341i
$781$	−17.4826	−	11.9194i	−0.625575	−	0.426510i
$782$	27.6572	+	26.5371i	0.989019	+	0.948964i
$783$	34.5871			1.23604
$784$	1.08755	+	27.9789i	0.0388412	+	0.999245i
$785$	33.5027			1.19576
$786$	−10.3501	−	9.93089i	−0.369174	−	0.354223i
$787$	−15.3819	−	10.4872i	−0.548306	−	0.373828i	0.257253	−	0.966344i	$-0.417182\pi$
$787$	−15.3819	−	10.4872i	−0.548306	−	0.373828i	−0.805559	+	0.592516i	$0.798135\pi$
$788$	−0.322642	−	7.80197i	−0.0114936	−	0.277934i
$789$	50.4330	+	3.77943i	1.79546	+	0.134551i
$790$	−4.71093	−	22.3582i	−0.167607	−	0.795470i
$791$	−4.33828	−	47.9151i	−0.154252	−	1.70366i
$792$	−4.40998	−	3.89448i	−0.156702	−	0.138384i
$793$	2.74384	+	6.99118i	0.0974365	+	0.248264i
$794$	20.8063	+	23.1903i	0.738386	+	0.822994i
$795$	−6.22556	−	2.44335i	−0.220798	−	0.0866568i
$796$	1.68746	−	2.70915i	0.0598103	−	0.0960232i
$797$	−22.4995	+	17.9428i	−0.796975	+	0.635566i	−0.934914	−	0.354875i	$-0.884524\pi$
$797$	−22.4995	+	17.9428i	−0.796975	+	0.635566i	0.137939	+	0.990441i	$0.455952\pi$
$798$	−4.13131	+	1.98323i	−0.146247	+	0.0702055i
$799$	6.15431	+	4.90790i	0.217724	+	0.173629i
$800$	3.69680	+	4.05580i	0.130702	+	0.143394i
$801$	1.51168	+	1.62920i	0.0534125	+	0.0575650i
$802$	13.1676	−	31.9670i	0.464965	−	1.12880i
$803$	−0.466591	+	0.808159i	−0.0164656	+	0.0285193i
$804$	−0.766771	+	22.9010i	−0.0270419	+	0.807658i
$805$	3.04576	−	51.2975i	0.107349	−	1.80800i
$806$	−0.502337	−	1.08938i	−0.0176941	−	0.0383718i
$807$	7.34733	−	7.91854i	0.258638	−	0.278746i
$808$	9.16626	+	36.0491i	0.322468	+	1.26820i
$809$	−22.8979	−	3.45131i	−0.805048	−	0.121342i	−0.266389	−	0.963865i	$-0.585831\pi$
$809$	−22.8979	−	3.45131i	−0.805048	−	0.121342i	−0.538659	+	0.842524i	$0.681069\pi$
$810$	−37.5652	−	3.44815i	−1.31991	−	0.121156i
$811$	−4.20573	+	18.4265i	−0.147683	+	0.647042i	0.845842	+	0.533433i	$0.179098\pi$
$811$	−4.20573	+	18.4265i	−0.147683	+	0.647042i	−0.993525	+	0.113609i	$0.963759\pi$
$812$	22.9324	−	38.1209i	0.804769	−	1.33778i
$813$	11.7640	+	51.5416i	0.412582	+	1.80764i
$814$	5.07084	+	37.9406i	0.177733	+	1.32982i
$815$	−5.00121	−	8.66235i	−0.175185	−	0.303429i
$816$	−6.21761	−	26.2869i	−0.217660	−	0.920225i
$817$	−1.99243	−	2.92237i	−0.0697065	−	0.102241i
$818$	−0.239647	+	14.3190i	−0.00837906	+	0.500653i
$819$	1.29011	−	0.315568i	0.0450801	−	0.0110268i
$820$	1.95435	−	0.861835i	0.0682490	−	0.0300966i
$821$	−41.9167	−	12.9296i	−1.46290	−	0.451246i	−0.541781	−	0.840519i	$-0.682250\pi$
$821$	−41.9167	−	12.9296i	−1.46290	−	0.451246i	−0.921122	+	0.389273i	$0.872726\pi$
$822$	−24.0623	+	6.98346i	−0.839268	+	0.243576i
$823$	−14.2268	+	1.06615i	−0.495914	+	0.0371636i	−0.320340	−	0.947303i	$-0.603797\pi$
$823$	−14.2268	+	1.06615i	−0.495914	+	0.0371636i	−0.175574	+	0.984466i	$0.556178\pi$
$824$	−21.0438	−	21.5897i	−0.733094	−	0.752112i
$825$	1.87901	+	3.90180i	0.0654186	+	0.135843i
$826$	−3.13410	−	42.5291i	−0.109049	−	1.47978i
$827$	8.23492	−	17.1000i	0.286356	−	0.594625i	−0.707322	−	0.706892i	$-0.750097\pi$
$827$	8.23492	−	17.1000i	0.286356	−	0.594625i	0.993678	+	0.112267i	$0.0358111\pi$
$828$	−4.79159	+	13.8682i	−0.166519	+	0.481953i
$829$	−15.2344	−	49.3886i	−0.529112	−	1.71534i	−0.685891	−	0.727704i	$-0.740587\pi$
$829$	−15.2344	−	49.3886i	−0.529112	−	1.71534i	0.156780	−	0.987634i	$-0.449889\pi$
$830$	−31.4307	+	1.82708i	−1.09098	+	0.0634189i
$831$	−46.2099	+	6.96503i	−1.60300	+	0.241614i
$832$	−3.11297	−	3.04041i	−0.107923	−	0.105407i
$833$	−18.1898	+	15.4517i	−0.630238	+	0.535370i
$834$	15.6226	+	20.2771i	0.540967	+	0.702140i
$835$	8.82980	+	58.5819i	0.305568	+	2.02731i
$836$	1.82652	+	2.10566i	0.0631715	+	0.0728257i
$837$	−6.13076	+	1.89109i	−0.211910	+	0.0653656i
$838$	10.3102	−	6.77948i	0.356161	−	0.234193i
$839$	25.1717	+	12.1220i	0.869022	+	0.418499i	0.814603	−	0.580019i	$-0.196955\pi$
$839$	25.1717	+	12.1220i	0.869022	+	0.418499i	0.0544194	+	0.998518i	$0.482669\pi$
$840$	−21.4268	+	29.1963i	−0.739293	+	1.00737i
$841$	−37.5542	+	18.0851i	−1.29497	+	0.623626i
$842$	−8.98740	+	14.9819i	−0.309726	+	0.516311i
$843$	−0.0986193	−	1.31598i	−0.00339663	−	0.0453249i
$844$	13.7624	−	18.8016i	0.473720	−	0.647177i
$845$	−9.14952	+	29.6620i	−0.314753	+	1.02040i
$846$	−0.719591	+	2.92613i	−0.0247400	+	0.100602i
$847$	−15.6612	+	0.242690i	−0.538125	+	0.00833891i
$848$	−5.12965	+	2.05992i	−0.176153	+	0.0707379i
$849$	−33.4306	+	22.7926i	−1.14734	+	0.782241i
$850$	−0.774481	+	4.61315i	−0.0265645	+	0.158230i
$851$	82.6715	−	47.7304i	2.83394	−	1.63618i
$852$	26.1925	−	26.3992i	0.897339	−	0.904421i
$853$	13.2530	−	3.02490i	0.453773	−	0.103571i	0.0104750	−	0.999945i	$-0.496666\pi$
$853$	13.2530	−	3.02490i	0.453773	−	0.103571i	0.443298	+	0.896375i	$0.353808\pi$
$854$	15.2893	−	49.3495i	0.523190	−	1.68870i
$855$	−1.35948	−	0.310292i	−0.0464932	−	0.0106118i
$856$	3.01642	−	8.27885i	0.103099	−	0.282965i
$857$	−1.95711	+	12.9845i	−0.0668534	+	0.443544i	0.930214	+	0.367017i	$0.119621\pi$
$857$	−1.95711	+	12.9845i	−0.0668534	+	0.443544i	−0.997068	+	0.0765263i	$0.975617\pi$
$858$	−1.66694	−	3.00215i	−0.0569084	−	0.102492i
$859$	−23.7514	−	22.0381i	−0.810387	−	0.751929i	0.161627	−	0.986852i	$-0.448326\pi$
$859$	−23.7514	−	22.0381i	−0.810387	−	0.751929i	−0.972014	+	0.234923i	$0.924516\pi$
$860$	−24.7632	−	12.9634i	−0.844417	−	0.442050i
$861$	1.31943	+	1.87224i	0.0449659	+	0.0638059i
$862$	−27.2360	−	22.4758i	−0.927660	−	0.765527i
$863$	19.2394	+	11.1079i	0.654916	+	0.378116i	0.790337	−	0.612672i	$-0.209905\pi$
$863$	19.2394	+	11.1079i	0.654916	+	0.378116i	−0.135421	+	0.990788i	$0.543239\pi$
$864$	−18.3229	+	14.3479i	−0.623357	+	0.488124i
$865$	−35.0646	+	32.5352i	−1.19223	+	1.10623i
$866$	2.46855	−	7.55178i	0.0838847	−	0.256620i
$867$	−6.63766	+	8.32336i	−0.225427	+	0.282676i
$868$	−1.98059	+	8.01100i	−0.0672257	+	0.271911i
$869$	−9.29225	−	11.6521i	−0.315218	−	0.395271i
$870$	53.9061	−	20.1222i	1.82759	−	0.682207i
$871$	−1.14948	+	2.92883i	−0.0389487	+	0.0992396i
$872$	4.13886	+	8.07986i	0.140159	+	0.273619i
$873$	−14.2765	+	5.60310i	−0.483185	+	0.189636i
$874$	3.12058	−	6.21185i	0.105555	−	0.210119i
$875$	−22.3567	+	13.3738i	−0.755796	+	0.452116i
$876$	−1.24735	−	1.06493i	−0.0421440	−	0.0359805i
$877$	1.60724	−	21.4472i	0.0542727	−	0.724219i	−0.901999	−	0.431739i	$-0.857900\pi$
$877$	1.60724	−	21.4472i	0.0542727	−	0.724219i	0.956271	−	0.292481i	$-0.0944807\pi$
$878$	0.635856	+	0.449288i	0.0214591	+	0.0151627i
$879$	−35.2775	+	51.7427i	−1.18988	+	1.74524i
$880$	20.5681	+	7.88638i	0.693352	+	0.265850i
$881$			32.1059i			1.08168i	0.841127	+	0.540838i	$0.181893\pi$
$881$			32.1059i			1.08168i	−0.841127	+	0.540838i	$0.818107\pi$
$882$	−8.28720	−	3.84636i	−0.279045	−	0.129514i
$883$			11.5010i			0.387041i	0.981096	+	0.193521i	$0.0619906\pi$
$883$			11.5010i			0.387041i	−0.981096	+	0.193521i	$0.938009\pi$
$884$	0.400794	−	3.68735i	0.0134801	−	0.124019i
$885$	31.0705	−	45.5721i	1.04442	−	1.53189i
$886$	−2.43690	+	3.44883i	−0.0818693	+	0.115866i
$887$	1.68672	−	22.5078i	0.0566347	−	0.755737i	−0.894521	−	0.447026i	$-0.852483\pi$
$887$	1.68672	−	22.5078i	0.0566347	−	0.755737i	0.951156	−	0.308711i	$-0.0998977\pi$
$888$	−67.1903	−	3.37607i	−2.25476	−	0.113293i
$889$	13.7589	−	20.8681i	0.461458	−	0.699893i
$890$	−7.43572	−	3.73541i	−0.249246	−	0.125211i
$891$	−22.9045	+	8.98936i	−0.767330	+	0.301155i
$892$	36.1138	+	6.68618i	1.20918	+	0.223870i
$893$	0.521579	−	1.32896i	0.0174540	−	0.0444720i
$894$	−10.7977	−	28.9264i	−0.361130	−	0.967442i
$895$	−8.42964	−	10.5704i	−0.281772	−	0.353331i
$896$	3.66513	+	29.7080i	0.122443	+	0.992475i
$897$	−5.33940	+	6.69539i	−0.178277	+	0.223553i
$898$	−15.4284	−	5.04328i	−0.514852	−	0.168296i
$899$	9.61125	−	8.91794i	0.320553	−	0.297430i
$900$	−1.72780	+	0.470249i	−0.0575933	+	0.0156750i
$901$	−4.08055	−	2.35591i	−0.135943	−	0.0784867i
$902$	0.886749	−	1.07456i	0.0295255	−	0.0357788i
$903$	8.38987	−	28.7749i	0.279197	−	0.957568i
$904$	−8.91413	−	50.6545i	−0.296480	−	1.68474i
$905$	34.6085	+	32.1120i	1.15042	+	1.06744i
$906$	−20.6506	+	11.4662i	−0.686071	+	0.380940i
$907$	2.39056	−	15.8603i	0.0793772	−	0.526634i	−0.913438	−	0.406978i	$-0.866583\pi$
$907$	2.39056	−	15.8603i	0.0793772	−	0.526634i	0.992815	−	0.119656i	$-0.0381792\pi$
$908$	33.0221	−	20.9307i	1.09588	−	0.694609i
$909$	−11.8327	−	2.70074i	−0.392466	−	0.0895778i
$910$	−4.11212	+	2.79614i	−0.136316	+	0.0926910i
$911$	−26.8095	+	6.11909i	−0.888238	+	0.202735i	−0.642211	−	0.766528i	$-0.721983\pi$
$911$	−26.8095	+	6.11909i	−0.888238	+	0.202735i	−0.246028	+	0.969263i	$0.579125\pi$
$912$	−4.22335	+	2.48282i	−0.139849	+	0.0822144i
$913$	−17.7844	+	10.2678i	−0.588578	+	0.339816i
$914$	18.2652	+	3.06647i	0.604160	+	0.101430i
$915$	55.2106	−	37.6419i	1.82520	−	1.24440i
$916$	−14.4337	+	10.7405i	−0.476904	+	0.354875i
$917$	−2.80983	+	13.2541i	−0.0927888	+	0.437688i
$918$	−19.2628	−	4.73710i	−0.635768	−	0.156348i
$919$	−13.2849	+	43.0687i	−0.438229	+	1.42071i	0.420040	+	0.907506i	$0.362016\pi$
$919$	−13.2849	+	43.0687i	−0.438229	+	1.42071i	−0.858269	+	0.513199i	$0.828460\pi$
$920$	−1.35105	−	54.9193i	−0.0445428	−	1.81064i
$921$	−0.302957	−	4.04268i	−0.00998278	−	0.133211i
$922$	−15.5146	−	9.30694i	−0.510946	−	0.306508i
$923$	4.60065	−	2.21556i	0.151432	−	0.0729260i
$924$	−3.93989	+	23.2908i	−0.129613	+	0.766212i
$925$	10.4963	+	5.05476i	0.345117	+	0.166200i
$926$	20.1002	+	30.5684i	0.660534	+	1.00454i
$927$	9.40043	−	2.89965i	0.308751	−	0.0952369i
$928$	21.0143	−	42.6641i	0.689829	−	1.40052i
$929$	1.27279	+	8.44440i	0.0417588	+	0.277052i	0.999959	−	0.00904664i	$-0.00287967\pi$
$929$	1.27279	+	8.44440i	0.0417588	+	0.277052i	−0.958200	+	0.286098i	$0.907642\pi$
$930$	−8.45496	+	6.51416i	−0.277249	+	0.213608i
$931$	3.65031	+	2.32641i	0.119634	+	0.0762450i
$932$	1.12416	−	4.26235i	0.0368229	−	0.139618i
$933$	−25.8360	+	3.89415i	−0.845833	+	0.127489i
$934$	−1.75184	−	30.1364i	−0.0573220	−	0.986093i
$935$	5.53448	+	17.9423i	0.180997	+	0.586777i
$936$	1.34606	−	0.451748i	0.0439975	−	0.0147658i
$937$	−14.8680	+	30.8737i	−0.485716	+	1.00860i	0.503752	+	0.863848i	$0.331953\pi$
$937$	−14.8680	+	30.8737i	−0.485716	+	1.00860i	−0.989468	+	0.144751i	$0.953762\pi$
$938$	18.7573	−	10.7985i	0.612447	−	0.352585i
$939$	13.5718	+	28.1820i	0.442898	+	0.919686i
$940$	−1.30726	−	11.2062i	−0.0426380	−	0.365505i
$941$	2.24864	−	0.168512i	0.0733035	−	0.00549334i	−0.0380278	−	0.999277i	$-0.512108\pi$
$941$	2.24864	−	0.168512i	0.0733035	−	0.00549334i	0.111331	+	0.993783i	$0.464489\pi$
$942$	10.7049	+	36.8848i	0.348783	+	1.20177i
$943$	−3.32011	−	1.02412i	−0.108118	−	0.0333499i
$944$	−7.14882	−	45.0248i	−0.232674	−	1.46543i
$945$	11.9090	+	23.7796i	0.387401	+	0.773551i
$946$	−18.2289	−	0.305084i	−0.592672	−	0.00991913i
$947$	−16.1264	−	23.6531i	−0.524038	−	0.768623i	0.469401	−	0.882985i	$-0.344470\pi$
$947$	−16.1264	−	23.6531i	−0.524038	−	0.768623i	−0.993439	+	0.114362i	$0.963518\pi$
$948$	23.1100	−	12.3304i	0.750578	−	0.400474i
$949$	−0.112602	−	0.195033i	−0.00365522	−	0.00633102i
$950$	0.840899	−	0.112388i	0.0272824	−	0.00364635i
$951$	−1.51763	−	6.64919i	−0.0492126	−	0.215615i
$952$	−17.9930	+	18.0901i	−0.583156	+	0.586302i
$953$	−6.41094	+	28.0881i	−0.207671	+	0.909864i	0.758441	+	0.651741i	$0.225961\pi$
$953$	−6.41094	+	28.0881i	−0.207671	+	0.909864i	−0.966112	+	0.258123i	$0.916896\pi$
$954$	0.164871	−	1.79615i	0.00533789	−	0.0581526i
$955$	−38.8291	−	5.85255i	−1.25648	−	0.189384i
$956$	14.0432	+	6.06138i	0.454189	+	0.196039i
$957$	25.5274	−	27.5120i	0.825183	−	0.889335i
$958$	22.3814	−	10.3206i	0.723110	−	0.333442i
$959$	17.5958	+	15.8263i	0.568199	+	0.511059i
$960$	−20.2099	+	33.0220i	−0.652273	+	1.06578i
$961$	14.2839	−	24.7405i	0.460773	−	0.798081i
$962$	−8.54135	−	3.51829i	−0.275384	−	0.113434i
$963$	1.95555	+	2.10759i	0.0630169	+	0.0679160i
$964$	11.3960	−	4.03798i	0.367040	−	0.130054i
$965$	1.44209	+	1.15003i	0.0464225	+	0.0370207i
$966$	57.4491	−	13.0375i	1.84840	−	0.419474i
$967$	−2.11057	+	1.68312i	−0.0678713	+	0.0541256i	−0.656838	−	0.754032i	$-0.728106\pi$
$967$	−2.11057	+	1.68312i	−0.0678713	+	0.0541256i	0.588967	+	0.808157i	$0.299535\pi$
$968$	−16.6619	+	1.66159i	−0.535533	+	0.0534056i
$969$	−3.88724	−	1.52563i	−0.124876	−	0.0490103i
$970$	42.7410	−	38.3470i	1.37233	−	1.23125i
$971$	−6.74187	−	17.1780i	−0.216357	−	0.551268i	0.780951	−	0.624592i	$-0.214735\pi$
$971$	−6.74187	−	17.1780i	−0.216357	−	0.551268i	−0.997308	+	0.0733237i	$0.976639\pi$
$972$	−3.52241	−	18.2240i	−0.112981	−	0.584534i
$973$	8.48355	−	22.6411i	0.271970	−	0.725842i
$974$	−13.2737	+	2.79679i	−0.425316	+	0.0896150i
$975$	−1.04219	−	0.0781017i	−0.0333770	−	0.00250126i
$976$	11.8664	−	53.9410i	0.379833	−	1.72661i
$977$	−4.49715	−	3.06610i	−0.143876	−	0.0980933i	0.489243	−	0.872148i	$-0.337273\pi$
$977$	−4.49715	−	3.06610i	−0.143876	−	0.0980933i	−0.633119	+	0.774054i	$0.718226\pi$
$978$	7.93881	−	8.27389i	0.253855	−	0.264570i
$979$	−5.42763			−0.173468
$980$	34.1052	+	2.64089i	1.08945	+	0.0843601i
$981$	−2.96220			−0.0945758
$982$	22.8479	−	23.8123i	0.729106	−	0.759881i
$983$	19.8604	+	13.5406i	0.633447	+	0.431877i	0.837012	−	0.547185i	$-0.184300\pi$
$983$	19.8604	+	13.5406i	0.633447	+	0.431877i	−0.203565	+	0.979061i	$0.565253\pi$
$984$	1.57330	+	1.87627i	0.0501548	+	0.0598132i
$985$	−9.51306	−	0.712906i	−0.303111	−	0.0227151i
$986$	39.6673	−	8.35799i	1.26326	−	0.266173i
$987$	11.5041	−	3.74473i	0.366181	−	0.119196i
$988$	−0.660473	+	0.127659i	−0.0210125	+	0.00406138i
$989$	16.6110	+	42.3242i	0.528200	+	1.34583i
$990$	−5.35006	+	4.80005i	−0.170036	+	0.152556i
$991$	5.56454	+	2.18392i	0.176763	+	0.0693745i	0.452072	−	0.891981i	$-0.350685\pi$
$991$	5.56454	+	2.18392i	0.176763	+	0.0693745i	−0.275309	+	0.961356i	$0.588780\pi$
$992$	−1.39220	+	8.71143i	−0.0442025	+	0.276588i
$993$	44.5853	−	35.5556i	1.41487	−	1.12832i
$994$	−34.2361	−	7.85883i	−1.08590	−	0.249267i
$995$	−3.04858	−	2.43116i	−0.0966465	−	0.0770730i
$996$	−12.0543	−	34.0198i	−0.381956	−	1.07796i
$997$	27.3824	+	29.5112i	0.867210	+	0.934630i	0.998390	−	0.0567287i	$-0.0180670\pi$
$997$	27.3824	+	29.5112i	0.867210	+	0.934630i	−0.131180	+	0.991359i	$0.541877\pi$
$998$	−21.3028	−	8.77489i	−0.674328	−	0.277764i
$999$	−24.7022	+	42.7854i	−0.781542	+	1.35367i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	196.2.p.a.103.7	yes	312
4.3	odd	2	inner	196.2.p.a.103.10	yes	312
49.10	odd	42	inner	196.2.p.a.59.10	yes	312
196.59	even	42	inner	196.2.p.a.59.7	✓	312

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
196.2.p.a.59.7	✓	312	196.59	even	42	inner
196.2.p.a.59.10	yes	312	49.10	odd	42	inner
196.2.p.a.103.7	yes	312	1.1	even	1	trivial
196.2.p.a.103.10	yes	312	4.3	odd	2	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 $\F_{q}$
Belyi maps

Level:	\( N \)	\(=\)	\( 196 = 2^{2} \cdot 7^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	196.p (of order \(42\), degree \(12\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.02045 - 0.979123i) q^{2} +(-1.63648 - 1.11573i) q^{3} +(0.0826373 + 1.99829i) q^{4} +(2.43655 + 0.182594i) q^{5} +(0.577505 + 2.74086i) q^{6} +(1.91136 - 1.82940i) q^{7} +(1.87225 - 2.12007i) q^{8} +(0.337176 + 0.859110i) q^{9} +(-2.30760 - 2.57201i) q^{10} +(-2.09807 - 0.823430i) q^{11} +(2.09432 - 3.36236i) q^{12} +(0.425257 - 0.339131i) q^{13} +(-3.74165 - 0.00463859i) q^{14} +(-3.78363 - 3.01734i) q^{15} +(-3.98634 + 0.330267i) q^{16} +(-2.31908 - 2.49937i) q^{17} +(0.497103 - 1.20682i) q^{18} +(-0.309187 + 0.535527i) q^{19} +(-0.163527 + 4.88403i) q^{20} +(-5.16901 + 0.861215i) q^{21} +(1.33473 + 2.89453i) q^{22} +(5.40679 - 5.82713i) q^{23} +(-5.42931 + 1.38052i) q^{24} +(0.959278 + 0.144588i) q^{25} +(-0.766005 - 0.0703124i) q^{26} +(-0.915442 + 4.01081i) q^{27} +(3.81363 + 3.66827i) q^{28} +(-1.87079 - 8.19647i) q^{29} +(0.906655 + 6.78368i) q^{30} +(0.779760 + 1.35058i) q^{31} +(4.39124 + 3.56610i) q^{32} +(2.51471 + 3.68840i) q^{33} +(-0.0806880 + 4.82114i) q^{34} +(4.99115 - 4.10843i) q^{35} +(-1.68889 + 0.744770i) q^{36} +(11.4754 + 3.53970i) q^{37} +(0.839857 - 0.243747i) q^{38} +(-1.07430 + 0.0805078i) q^{39} +(4.94893 - 4.82379i) q^{40} +(-0.189645 - 0.393803i) q^{41} +(6.11795 + 4.18227i) q^{42} +(-2.48171 + 5.15333i) q^{43} +(1.47208 - 4.26059i) q^{44} +(0.664677 + 2.15483i) q^{45} +(-11.2228 + 0.652389i) q^{46} +(-2.28293 + 0.344096i) q^{47} +(6.89204 + 3.90721i) q^{48} +(0.306571 - 6.99328i) q^{49} +(-0.837326 - 1.08680i) q^{50} +(1.00649 + 6.67762i) q^{51} +(0.712826 + 0.821763i) q^{52} +(1.32055 - 0.407337i) q^{53} +(4.86124 - 3.19651i) q^{54} +(-4.96169 - 2.38942i) q^{55} +(-0.299931 - 7.47730i) q^{56} +(1.10348 - 0.531408i) q^{57} +(-6.11630 + 10.1958i) q^{58} +(0.851714 + 11.3653i) q^{59} +(5.71686 - 7.81014i) q^{60} +(-4.06989 + 13.1943i) q^{61} +(0.526681 - 2.14168i) q^{62} +(2.21612 + 1.02524i) q^{63} +(-0.989390 - 7.93858i) q^{64} +(1.09808 - 0.748661i) q^{65} +(1.04526 - 6.22604i) q^{66} +(-5.00951 + 2.89224i) q^{67} +(4.80283 - 4.84073i) q^{68} +(-15.3496 + 3.50344i) q^{69} +(-9.11588 - 0.694506i) q^{70} +(9.15258 + 2.08902i) q^{71} +(2.45265 + 0.893629i) q^{72} +(0.0617088 - 0.409411i) q^{73} +(-8.24430 - 14.8479i) q^{74} +(-1.40851 - 1.30691i) q^{75} +(-1.09569 - 0.573591i) q^{76} +(-5.51654 + 2.26434i) q^{77} +(1.17510 + 0.969720i) q^{78} +(5.72656 + 3.30623i) q^{79} +(-9.77322 + 0.0768285i) q^{80} +(8.00270 - 7.42542i) q^{81} +(-0.192057 + 0.587542i) q^{82} +(5.68081 - 7.12350i) q^{83} +(-2.14811 - 10.2580i) q^{84} +(-5.19417 - 6.51329i) q^{85} +(7.57820 - 2.82881i) q^{86} +(-6.08355 + 15.5006i) q^{87} +(-5.67382 + 2.90638i) q^{88} +(2.24168 - 0.879793i) q^{89} +(1.43157 - 2.84970i) q^{90} +(0.192411 - 1.42617i) q^{91} +(12.0911 + 10.3228i) q^{92} +(0.230829 - 3.08020i) q^{93} +(2.66653 + 1.88414i) q^{94} +(-0.851133 + 1.24838i) q^{95} +(-3.20735 - 10.7353i) q^{96} +16.6177i q^{97} +(-7.16012 + 6.83613i) q^{98} -2.08011i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 312 q - 13 q^{2} - 13 q^{4} - 22 q^{5} - 14 q^{6} - 4 q^{8} - 4 q^{9} - 20 q^{10} + 9 q^{12} - 28 q^{13} - 51 q^{14} - 17 q^{16} - 22 q^{17} - 12 q^{18} - 14 q^{20} - 34 q^{21} - 18 q^{22} - 44 q^{24} - 48 q^{25}+ \cdots + 183 q^{98}+O(q^{100}) \) 312 * q - 13 * q^2 - 13 * q^4 - 22 * q^5 - 14 * q^6 - 4 * q^8 - 4 * q^9 - 20 * q^10 + 9 * q^12 - 28 * q^13 - 51 * q^14 - 17 * q^16 - 22 * q^17 - 12 * q^18 - 14 * q^20 - 34 * q^21 - 18 * q^22 - 44 * q^24 - 48 * q^25 - 2 * q^26 - 36 * q^28 - 11 * q^30 - 13 * q^32 - 34 * q^33 - 98 * q^34 - 4 * q^36 - 58 * q^37 - 18 * q^38 + 30 * q^40 - 28 * q^41 - 26 * q^42 + 16 * q^44 - 28 * q^45 - 14 * q^46 - 24 * q^49 + 96 * q^50 - 14 * q^52 - 22 * q^53 - 17 * q^54 + 40 * q^56 + 34 * q^57 - 12 * q^58 + 98 * q^60 - 38 * q^61 - 4 * q^64 - 32 * q^65 - 176 * q^66 - 21 * q^68 + 28 * q^69 + 50 * q^70 - 120 * q^72 - 58 * q^73 - 14 * q^74 - 91 * q^76 - 18 * q^77 - 112 * q^78 + 66 * q^80 - 170 * q^81 + 114 * q^82 + 140 * q^84 - 24 * q^85 + 97 * q^86 + 127 * q^88 - 82 * q^89 + 266 * q^90 + 34 * q^92 + 226 * q^94 + 122 * q^96 + 183 * q^98

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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