LMFDB - Embedded newform 322.2.k.a.111.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [322,2,Mod(83,322)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(322, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([11, 21]))

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

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

chi := DirichletCharacter("322.83");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 322 = 2 \cdot 7 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	322.k (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:	$2.57118294509$
Analytic rank:	$0$
Dimension:	$80$
Relative dimension:	$8$ over $\Q(\zeta_{22})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label			111.2
Character	$\chi$	$=$	322.111
Dual form			322.2.k.a.293.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.415415 + 0.909632i) q^{2} +(-0.730873 - 2.48912i) q^{3} +(-0.654861 + 0.755750i) q^{4} +(-1.52995 - 0.983241i) q^{5} +(1.96057 - 1.69884i) q^{6} +(-2.20702 + 1.45913i) q^{7} +(-0.959493 - 0.281733i) q^{8} +(-3.13780 + 2.01654i) q^{9} +O(q^{10})$	\(q+(0.415415 + 0.909632i) q^{2} +(-0.730873 - 2.48912i) q^{3} +(-0.654861 + 0.755750i) q^{4} +(-1.52995 - 0.983241i) q^{5} +(1.96057 - 1.69884i) q^{6} +(-2.20702 + 1.45913i) q^{7} +(-0.959493 - 0.281733i) q^{8} +(-3.13780 + 2.01654i) q^{9} +(0.258822 - 1.80015i) q^{10} +(-0.133389 - 0.0609167i) q^{11} +(2.35977 + 1.07767i) q^{12} +(-2.27281 - 0.326780i) q^{13} +(-2.24410 - 1.40143i) q^{14} +(-1.32921 + 4.52687i) q^{15} +(-0.142315 - 0.989821i) q^{16} +(-2.03570 - 2.34933i) q^{17} +(-3.13780 - 2.01654i) q^{18} +(-3.74575 + 4.32283i) q^{19} +(1.74499 - 0.512375i) q^{20} +(5.24501 + 4.42710i) q^{21} -0.146641i q^{22} +(-3.54475 - 3.23029i) q^{23} +2.59421i q^{24} +(-0.703081 - 1.53953i) q^{25} +(-0.646909 - 2.20317i) q^{26} +(1.43104 + 1.24001i) q^{27} +(0.342551 - 2.62348i) q^{28} +(4.85965 + 5.60833i) q^{29} +(-4.66996 + 0.671438i) q^{30} +(0.987591 - 3.36343i) q^{31} +(0.841254 - 0.540641i) q^{32} +(-0.0541388 + 0.376544i) q^{33} +(1.29136 - 2.82768i) q^{34} +(4.81132 - 0.0623726i) q^{35} +(0.530822 - 3.69195i) q^{36} +(-1.53951 - 2.39552i) q^{37} +(-5.48822 - 1.61149i) q^{38} +(0.847736 + 5.89613i) q^{39} +(1.19097 + 1.37445i) q^{40} +(4.56813 - 7.10816i) q^{41} +(-1.84818 + 6.61012i) q^{42} +(-1.10149 - 3.75133i) q^{43} +(0.133389 - 0.0609167i) q^{44} +6.78344 q^{45} +(1.46583 - 4.56633i) q^{46} +3.45148i q^{47} +(-2.35977 + 1.07767i) q^{48} +(2.74186 - 6.44067i) q^{49} +(1.10834 - 1.27909i) q^{50} +(-4.35992 + 6.78417i) q^{51} +(1.73534 - 1.50368i) q^{52} +(11.7791 - 1.69357i) q^{53} +(-0.533473 + 1.81684i) q^{54} +(0.144183 + 0.224353i) q^{55} +(2.52870 - 0.778238i) q^{56} +(13.4977 + 6.16420i) q^{57} +(-3.08275 + 6.75028i) q^{58} +(-2.65098 - 0.381153i) q^{59} +(-2.55073 - 3.96902i) q^{60} +(3.68508 + 1.08204i) q^{61} +(3.46974 - 0.498873i) q^{62} +(3.98278 - 9.02902i) q^{63} +(0.841254 + 0.540641i) q^{64} +(3.15599 + 2.73468i) q^{65} +(-0.365006 + 0.107176i) q^{66} +(-1.68393 + 0.769024i) q^{67} +3.10860 q^{68} +(-5.44982 + 11.1842i) q^{69} +(2.05543 + 4.35062i) q^{70} +(-4.71153 - 10.3168i) q^{71} +(3.57882 - 1.05084i) q^{72} +(-2.35242 - 2.03838i) q^{73} +(1.53951 - 2.39552i) q^{74} +(-3.31823 + 2.87526i) q^{75} +(-0.814029 - 5.66170i) q^{76} +(0.383277 - 0.0601879i) q^{77} +(-5.01115 + 3.22047i) q^{78} +(-8.52895 - 1.22628i) q^{79} +(-0.755498 + 1.65431i) q^{80} +(-2.60776 + 5.71021i) q^{81} +(8.36348 + 1.20249i) q^{82} +(-13.4360 + 8.63477i) q^{83} +(-6.78053 + 1.06478i) q^{84} +(0.804575 + 5.59594i) q^{85} +(2.95475 - 2.56031i) q^{86} +(10.4081 - 16.1952i) q^{87} +(0.110824 + 0.0960291i) q^{88} +(-1.61135 + 0.473136i) q^{89} +(2.81794 + 6.17043i) q^{90} +(5.49295 - 2.59512i) q^{91} +(4.76260 - 0.563555i) q^{92} -9.09379 q^{93} +(-3.13958 + 1.43380i) q^{94} +(9.98120 - 2.93075i) q^{95} +(-1.96057 - 1.69884i) q^{96} +(-10.3940 - 6.67984i) q^{97} +(6.99765 - 0.181462i) q^{98} +(0.541389 - 0.0778400i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 80 q - 8 q^{2} - 8 q^{4} - 11 q^{7} - 8 q^{8} - 6 q^{9}+O(q^{10}) $ 80 * q - 8 * q^2 - 8 * q^4 - 11 * q^7 - 8 * q^8 - 6 * q^9	$ 80 q - 8 q^{2} - 8 q^{4} - 11 q^{7} - 8 q^{8} - 6 q^{9} + 11 q^{14} - 8 q^{16} - 6 q^{18} - 33 q^{21} + 18 q^{23} - 58 q^{25} - 11 q^{28} + 16 q^{29} + 22 q^{30} - 8 q^{32} + 47 q^{35} + 16 q^{36} - 22 q^{37} - 30 q^{39} - 22 q^{42} + 44 q^{43} - 4 q^{46} + 17 q^{49} + 8 q^{50} - 88 q^{51} + 44 q^{53} + 11 q^{56} - 22 q^{57} - 28 q^{58} + 121 q^{63} - 8 q^{64} - 154 q^{65} + 58 q^{70} + 42 q^{71} - 28 q^{72} + 22 q^{74} + 38 q^{77} + 58 q^{78} - 88 q^{79} - 26 q^{81} - 11 q^{84} + 26 q^{85} - 132 q^{86} + 22 q^{88} - 4 q^{92} + 152 q^{93} - 68 q^{95} - 27 q^{98} - 44 q^{99}+O(q^{100}) $ 80 * q - 8 * q^2 - 8 * q^4 - 11 * q^7 - 8 * q^8 - 6 * q^9 + 11 * q^14 - 8 * q^16 - 6 * q^18 - 33 * q^21 + 18 * q^23 - 58 * q^25 - 11 * q^28 + 16 * q^29 + 22 * q^30 - 8 * q^32 + 47 * q^35 + 16 * q^36 - 22 * q^37 - 30 * q^39 - 22 * q^42 + 44 * q^43 - 4 * q^46 + 17 * q^49 + 8 * q^50 - 88 * q^51 + 44 * q^53 + 11 * q^56 - 22 * q^57 - 28 * q^58 + 121 * q^63 - 8 * q^64 - 154 * q^65 + 58 * q^70 + 42 * q^71 - 28 * q^72 + 22 * q^74 + 38 * q^77 + 58 * q^78 - 88 * q^79 - 26 * q^81 - 11 * q^84 + 26 * q^85 - 132 * q^86 + 22 * q^88 - 4 * q^92 + 152 * q^93 - 68 * q^95 - 27 * q^98 - 44 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/322\mathbb{Z}\right)^\times$.

$n$	$185$	$281$
$\chi(n)$	$-1$	$e\left(\frac{15}{22}\right)$

Coefficient data

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

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

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

$2$	0.415415	+	0.909632i	0.293743	+	0.643207i
$2$	0.415415	+	0.909632i	0.293743	+	0.643207i
$3$	−0.730873	−	2.48912i	−0.421970	−	1.43710i	−0.846843	−	0.531843i	$-0.821500\pi$
$3$	−0.730873	−	2.48912i	−0.421970	−	1.43710i	0.424873	−	0.905253i	$-0.360319\pi$
$4$	−0.654861	+	0.755750i	−0.327430	+	0.377875i
$5$	−1.52995	−	0.983241i	−0.684216	−	0.439719i	0.151809	−	0.988410i	$-0.451490\pi$
$5$	−1.52995	−	0.983241i	−0.684216	−	0.439719i	−0.836025	+	0.548691i	$0.815126\pi$
$6$	1.96057	−	1.69884i	0.800400	−	0.693550i
$7$	−2.20702	+	1.45913i	−0.834175	+	0.551500i
$7$	−2.20702	+	1.45913i	−0.834175	+	0.551500i
$8$	−0.959493	−	0.281733i	−0.339232	−	0.0996075i
$9$	−3.13780	+	2.01654i	−1.04593	+	0.672181i
$10$	0.258822	−	1.80015i	0.0818468	−	0.569257i
$11$	−0.133389	−	0.0609167i	−0.0402183	−	0.0183671i	0.395204	−	0.918593i	$-0.370674\pi$
$11$	−0.133389	−	0.0609167i	−0.0402183	−	0.0183671i	−0.435423	+	0.900226i	$0.643401\pi$
$12$	2.35977	+	1.07767i	0.681208	+	0.311097i
$13$	−2.27281	−	0.326780i	−0.630363	−	0.0906326i	−0.180275	−	0.983616i	$-0.557699\pi$
$13$	−2.27281	−	0.326780i	−0.630363	−	0.0906326i	−0.450089	+	0.892984i	$0.648608\pi$
$14$	−2.24410	−	1.40143i	−0.599762	−	0.374548i
$15$	−1.32921	+	4.52687i	−0.343200	+	1.16883i
$16$	−0.142315	−	0.989821i	−0.0355787	−	0.247455i
$17$	−2.03570	−	2.34933i	−0.493730	−	0.569795i	0.453128	−	0.891445i	$-0.350308\pi$
$17$	−2.03570	−	2.34933i	−0.493730	−	0.569795i	−0.946859	+	0.321650i	$0.895762\pi$
$18$	−3.13780	−	2.01654i	−0.739587	−	0.475304i
$19$	−3.74575	+	4.32283i	−0.859334	+	0.991724i	0.140665	+	0.990057i	$0.455076\pi$
$19$	−3.74575	+	4.32283i	−0.859334	+	0.991724i	−0.999999	+	0.00166691i	$0.999469\pi$
$20$	1.74499	−	0.512375i	0.390192	−	0.114571i
$21$	5.24501	+	4.42710i	1.14456	+	0.966073i
$22$		−	0.146641i		−	0.0312639i
$23$	−3.54475	−	3.23029i	−0.739131	−	0.673561i
$23$	−3.54475	−	3.23029i	−0.739131	−	0.673561i
$24$			2.59421i			0.529540i
$25$	−0.703081	−	1.53953i	−0.140616	−	0.307907i
$26$	−0.646909	−	2.20317i	−0.126869	−	0.432077i
$27$	1.43104	+	1.24001i	0.275405	+	0.238639i
$28$	0.342551	−	2.62348i	0.0647361	−	0.495792i
$29$	4.85965	+	5.60833i	0.902414	+	1.04144i	0.998936	+	0.0461106i	$0.0146827\pi$
$29$	4.85965	+	5.60833i	0.902414	+	1.04144i	−0.0965222	+	0.995331i	$0.530772\pi$
$30$	−4.66996	+	0.671438i	−0.852613	+	0.122587i
$31$	0.987591	−	3.36343i	0.177377	−	0.604089i	−0.822023	−	0.569454i	$-0.807155\pi$
$31$	0.987591	−	3.36343i	0.177377	−	0.604089i	0.999400	−	0.0346354i	$-0.0110270\pi$
$32$	0.841254	−	0.540641i	0.148714	−	0.0955727i
$33$	−0.0541388	+	0.376544i	−0.00942436	+	0.0655479i
$34$	1.29136	−	2.82768i	0.221466	−	0.484944i
$35$	4.81132	−	0.0623726i	0.813261	−	0.0105429i
$36$	0.530822	−	3.69195i	0.0884703	−	0.615324i
$37$	−1.53951	−	2.39552i	−0.253094	−	0.393822i	0.691337	−	0.722533i	$-0.257022\pi$
$37$	−1.53951	−	2.39552i	−0.253094	−	0.393822i	−0.944431	+	0.328711i	$0.893386\pi$
$38$	−5.48822	−	1.61149i	−0.890307	−	0.261418i
$39$	0.847736	+	5.89613i	0.135746	+	0.944137i
$40$	1.19097	+	1.37445i	0.188309	+	0.217320i
$41$	4.56813	−	7.10816i	0.713423	−	1.11011i	−0.275446	−	0.961317i	$-0.588826\pi$
$41$	4.56813	−	7.10816i	0.713423	−	1.11011i	0.988869	−	0.148791i	$-0.0475381\pi$
$42$	−1.84818	+	6.61012i	−0.285180	+	1.01996i
$43$	−1.10149	−	3.75133i	−0.167975	−	0.572072i	−0.999854	−	0.0171134i	$-0.994552\pi$
$43$	−1.10149	−	3.75133i	−0.167975	−	0.572072i	0.831878	−	0.554958i	$-0.187266\pi$
$44$	0.133389	−	0.0609167i	0.0201091	−	0.00918353i
$45$	6.78344			1.01122
$46$	1.46583	−	4.56633i	0.216125	−	0.673268i
$47$			3.45148i			0.503451i	0.967799	+	0.251725i	$0.0809980\pi$
$47$			3.45148i			0.503451i	−0.967799	+	0.251725i	$0.919002\pi$
$48$	−2.35977	+	1.07767i	−0.340604	+	0.155549i
$49$	2.74186	−	6.44067i	0.391695	−	0.920095i
$50$	1.10834	−	1.27909i	0.156743	−	0.180891i
$51$	−4.35992	+	6.78417i	−0.610511	+	0.949974i
$52$	1.73534	−	1.50368i	0.240648	−	0.208523i
$53$	11.7791	−	1.69357i	1.61798	−	0.232630i	0.726987	−	0.686651i	$-0.240920\pi$
$53$	11.7791	−	1.69357i	1.61798	−	0.232630i	0.890991	+	0.454021i	$0.150011\pi$
$54$	−0.533473	+	1.81684i	−0.0725964	+	0.247241i
$55$	0.144183	+	0.224353i	0.0194416	+	0.0302518i
$56$	2.52870	−	0.778238i	0.337912	−	0.103996i
$57$	13.4977	+	6.16420i	1.78782	+	0.816468i
$58$	−3.08275	+	6.75028i	−0.404785	+	0.886355i
$59$	−2.65098	−	0.381153i	−0.345128	−	0.0496219i	−0.0324284	−	0.999474i	$-0.510324\pi$
$59$	−2.65098	−	0.381153i	−0.345128	−	0.0496219i	−0.312699	+	0.949852i	$0.601233\pi$
$60$	−2.55073	−	3.96902i	−0.329298	−	0.512398i
$61$	3.68508	+	1.08204i	0.471826	+	0.138541i	0.508997	−	0.860768i	$-0.330016\pi$
$61$	3.68508	+	1.08204i	0.471826	+	0.138541i	−0.0371709	+	0.999309i	$0.511835\pi$
$62$	3.46974	−	0.498873i	0.440657	−	0.0633570i
$63$	3.98278	−	9.02902i	0.501784	−	1.13755i
$64$	0.841254	+	0.540641i	0.105157	+	0.0675801i
$65$	3.15599	+	2.73468i	0.391452	+	0.339195i
$66$	−0.365006	+	0.107176i	−0.0449292	+	0.0131924i
$67$	−1.68393	+	0.769024i	−0.205725	+	0.0939513i	−0.515613	−	0.856822i	$-0.672436\pi$
$67$	−1.68393	+	0.769024i	−0.205725	+	0.0939513i	0.309888	+	0.950773i	$0.399708\pi$
$68$	3.10860			0.376974
$69$	−5.44982	+	11.1842i	−0.656082	+	1.34643i
$70$	2.05543	+	4.35062i	0.245671	+	0.519998i
$71$	−4.71153	−	10.3168i	−0.559155	−	1.22438i	−0.952373	−	0.304934i	$-0.901366\pi$
$71$	−4.71153	−	10.3168i	−0.559155	−	1.22438i	0.393218	−	0.919445i	$-0.371362\pi$
$72$	3.57882	−	1.05084i	0.421768	−	0.123842i
$73$	−2.35242	−	2.03838i	−0.275330	−	0.238575i	0.506240	−	0.862393i	$-0.331035\pi$
$73$	−2.35242	−	2.03838i	−0.275330	−	0.238575i	−0.781569	+	0.623818i	$0.785581\pi$
$74$	1.53951	−	2.39552i	0.178964	−	0.278474i
$75$	−3.31823	+	2.87526i	−0.383156	+	0.332006i
$76$	−0.814029	−	5.66170i	−0.0933756	−	0.649441i
$77$	0.383277	−	0.0601879i	0.0436785	−	0.00685904i
$78$	−5.01115	+	3.22047i	−0.567401	+	0.364647i
$79$	−8.52895	−	1.22628i	−0.959582	−	0.137967i	−0.355313	−	0.934747i	$-0.615626\pi$
$79$	−8.52895	−	1.22628i	−0.959582	−	0.137967i	−0.604269	+	0.796780i	$0.706535\pi$
$80$	−0.755498	+	1.65431i	−0.0844673	+	0.184958i
$81$	−2.60776	+	5.71021i	−0.289752	+	0.634468i
$82$	8.36348	+	1.20249i	0.923592	+	0.132792i
$83$	−13.4360	+	8.63477i	−1.47479	+	0.947789i	−0.477171	+	0.878811i	$0.658338\pi$
$83$	−13.4360	+	8.63477i	−1.47479	+	0.947789i	−0.997618	+	0.0689784i	$0.978026\pi$
$84$	−6.78053	+	1.06478i	−0.739817	+	0.116177i
$85$	0.804575	+	5.59594i	0.0872685	+	0.606965i
$86$	2.95475	−	2.56031i	0.318619	−	0.276085i
$87$	10.4081	−	16.1952i	1.11586	−	1.73631i
$88$	0.110824	+	0.0960291i	0.0118138	+	0.0102367i
$89$	−1.61135	+	0.473136i	−0.170803	+	0.0501523i	−0.366016	−	0.930609i	$-0.619278\pi$
$89$	−1.61135	+	0.473136i	−0.170803	+	0.0501523i	0.195213	+	0.980761i	$0.437460\pi$
$90$	2.81794	+	6.17043i	0.297037	+	0.650421i
$91$	5.49295	−	2.59512i	0.575817	−	0.272042i
$92$	4.76260	−	0.563555i	0.496536	−	0.0587546i
$93$	−9.09379			−0.942982
$94$	−3.13958	+	1.43380i	−0.323823	+	0.147885i
$95$	9.98120	−	2.93075i	1.02405	−	0.300688i
$96$	−1.96057	−	1.69884i	−0.200100	−	0.173388i
$97$	−10.3940	−	6.67984i	−1.05535	−	0.678235i	−0.106617	−	0.994300i	$-0.534002\pi$
$97$	−10.3940	−	6.67984i	−1.05535	−	0.678235i	−0.948737	+	0.316065i	$0.897638\pi$
$98$	6.99765	−	0.181462i	0.706869	−	0.0183304i
$99$	0.541389	−	0.0778400i	0.0544116	−	0.00782321i
$100$	1.62392	+	0.476827i	0.162392	+	0.0476827i
$101$	10.3899	+	16.1670i	1.03384	+	1.60868i	0.763381	+	0.645948i	$0.223538\pi$
$101$	10.3899	+	16.1670i	1.03384	+	1.60868i	0.270455	+	0.962733i	$0.412826\pi$
$102$	−7.98228	−	1.14768i	−0.790363	−	0.113637i
$103$	−1.57755	+	3.45435i	−0.155440	+	0.340367i	−0.971291	−	0.237896i	$-0.923542\pi$
$103$	−1.57755	+	3.45435i	−0.155440	+	0.340367i	0.815850	+	0.578263i	$0.196269\pi$
$104$	2.08868	+	0.953867i	0.204812	+	0.0935344i
$105$	−3.67171	−	11.9304i	−0.358322	−	1.16429i
$106$	6.43373	+	10.0111i	0.624899	+	0.972361i
$107$	−3.47745	+	11.8431i	−0.336177	+	1.14491i	0.601924	+	0.798554i	$0.294401\pi$
$107$	−3.47745	+	11.8431i	−0.336177	+	1.14491i	−0.938101	+	0.346361i	$0.887417\pi$
$108$	−1.87427	+	0.269479i	−0.180352	+	0.0259306i
$109$	−7.96452	+	6.90130i	−0.762863	+	0.661025i	−0.946767	−	0.321920i	$-0.895672\pi$
$109$	−7.96452	+	6.90130i	−0.762863	+	0.661025i	0.183904	+	0.982944i	$0.441126\pi$
$110$	−0.144183	+	0.224353i	−0.0137473	+	0.0213912i
$111$	−4.83757	+	5.58285i	−0.459162	+	0.529901i
$112$	1.75837	+	1.97690i	0.166151	+	0.186799i
$113$	12.0662	−	5.51043i	1.13509	−	0.518378i	0.242906	−	0.970050i	$-0.421900\pi$
$113$	12.0662	−	5.51043i	1.13509	−	0.518378i	0.892184	+	0.451672i	$0.149172\pi$
$114$			14.8387i			1.38977i
$115$	2.24715	+	8.42753i	0.209548	+	0.785871i
$116$	−7.42089			−0.689012
$117$	7.79059	−	3.55784i	0.720240	−	0.328923i
$118$	−0.754546	−	2.56975i	−0.0694616	−	0.236565i
$119$	7.92081	+	2.21465i	0.726099	+	0.203016i
$120$	2.55073	−	3.96902i	0.232849	−	0.362320i
$121$	−7.18939	−	8.29699i	−0.653581	−	0.754272i
$122$	0.546582	+	3.80156i	0.0494852	+	0.344177i
$123$	−21.0318	−	6.17549i	−1.89637	−	0.556826i
$124$	1.89517	+	2.94895i	0.170192	+	0.264823i
$125$	−1.73216	+	12.0475i	−0.154929	+	1.07756i
$126$	9.86759	−	0.127921i	0.879075	−	0.0113961i
$127$	1.74860	−	3.82890i	0.155163	−	0.339760i	−0.816047	−	0.577986i	$-0.803839\pi$
$127$	1.74860	−	3.82890i	0.155163	−	0.339760i	0.971210	+	0.238226i	$0.0765660\pi$
$128$	−0.142315	+	0.989821i	−0.0125790	+	0.0874887i
$129$	−8.53247	+	5.48348i	−0.751242	+	0.482794i
$130$	−1.17651	+	4.00681i	−0.103186	+	0.351421i
$131$	8.86146	−	1.27409i	0.774229	−	0.111317i	0.256135	−	0.966641i	$-0.417551\pi$
$131$	8.86146	−	1.27409i	0.774229	−	0.111317i	0.518094	+	0.855324i	$0.326642\pi$
$132$	−0.249119	−	0.287499i	−0.0216831	−	0.0250236i
$133$	1.95936	−	15.0061i	0.169898	−	1.30119i
$134$	−1.39906	−	1.21229i	−0.120860	−	0.104726i
$135$	−0.970205	−	3.30421i	−0.0835019	−	0.284381i
$136$	1.29136	+	2.82768i	0.110733	+	0.242472i
$137$		−	14.4444i		−	1.23407i	−0.786935	−	0.617036i	$-0.788333\pi$
$137$		−	14.4444i		−	1.23407i	0.786935	−	0.617036i	$-0.211667\pi$
$138$	−12.4375	−	0.311229i	−1.05875	−	0.0264936i
$139$		−	13.4134i		−	1.13771i	−0.822438	−	0.568855i	$-0.807387\pi$
$139$		−	13.4134i		−	1.13771i	0.822438	−	0.568855i	$-0.192613\pi$
$140$	−3.10360	+	3.67699i	−0.262302	+	0.310763i
$141$	8.59117	−	2.52260i	0.723507	−	0.212441i
$142$	7.42725	−	8.57151i	0.623281	−	0.719305i
$143$	0.283261	+	0.182041i	0.0236875	+	0.0152230i
$144$	2.44257	+	2.81888i	0.203548	+	0.234907i
$145$	−1.92069	−	13.3587i	−0.159505	−	1.10938i
$146$	0.876948	−	2.98661i	0.0725767	−	0.247174i
$147$	−18.0356	−	2.11753i	−1.48755	−	0.174651i
$148$	2.81858	+	0.405251i	0.231686	+	0.0333114i
$149$	−4.96816	−	2.26888i	−0.407008	−	0.185874i	0.201382	−	0.979513i	$-0.435457\pi$
$149$	−4.96816	−	2.26888i	−0.407008	−	0.185874i	−0.608390	+	0.793639i	$0.708184\pi$
$150$	−3.99387	−	1.82394i	−0.326098	−	0.148924i
$151$	−1.14863	+	7.98892i	−0.0934744	+	0.650129i	0.888185	+	0.459486i	$0.151966\pi$
$151$	−1.14863	+	7.98892i	−0.0934744	+	0.650129i	−0.981659	+	0.190643i	$0.938943\pi$
$152$	4.81190	−	3.09242i	0.390297	−	0.250828i
$153$	11.1251	+	3.26664i	0.899415	+	0.264092i
$154$	0.213968	+	0.323638i	0.0172420	+	0.0260795i
$155$	−4.81803	+	4.17484i	−0.386993	+	0.335332i
$156$	−5.01115	−	3.22047i	−0.401213	−	0.257844i
$157$	−10.2057	+	11.7780i	−0.814503	+	0.939987i	−0.999082	−	0.0428311i	$-0.986362\pi$
$157$	−10.2057	+	11.7780i	−0.814503	+	0.939987i	0.184579	+	0.982818i	$0.440908\pi$
$158$	−2.42759	−	8.26762i	−0.193129	−	0.657737i
$159$	−12.8245	−	28.0818i	−1.01705	−	2.22703i
$160$	−1.81866			−0.143778
$161$	12.5367	+	1.95704i	0.988034	+	0.154237i
$162$	−6.27749			−0.493206
$163$	−8.55469	−	18.7322i	−0.670055	−	1.46722i	−0.872847	−	0.487994i	$-0.837729\pi$
$163$	−8.55469	−	18.7322i	−0.670055	−	1.46722i	0.202792	−	0.979222i	$-0.434998\pi$
$164$	2.38049	+	8.10722i	0.185885	+	0.633067i
$165$	0.453063	−	0.522863i	0.0352709	−	0.0407048i
$166$	−13.4360	−	8.63477i	−1.04283	−	0.670188i
$167$	4.41375	−	3.82453i	0.341546	−	0.295951i	−0.467150	−	0.884178i	$-0.654719\pi$
$167$	4.41375	−	3.82453i	0.341546	−	0.295951i	0.808696	+	0.588227i	$0.200174\pi$
$168$	−3.78529	−	5.72546i	−0.292042	−	0.441729i
$169$	−7.41454	−	2.17711i	−0.570349	−	0.167470i
$170$	−4.75602	+	3.05651i	−0.364770	+	0.234423i
$171$	3.03626	−	21.1176i	0.232188	−	1.61491i
$172$	3.55638	+	1.62415i	0.271172	+	0.123840i
$173$	1.72175	+	0.786296i	0.130902	+	0.0597810i	0.479789	−	0.877384i	$-0.340713\pi$
$173$	1.72175	+	0.786296i	0.130902	+	0.0597810i	−0.348887	+	0.937165i	$0.613440\pi$
$174$	19.0554	+	2.73975i	1.44458	+	0.207700i
$175$	3.79810	+	2.37189i	0.287109	+	0.179298i
$176$	−0.0413134	+	0.140701i	−0.00311412	+	0.0106057i
$177$	0.988789	+	6.87718i	0.0743219	+	0.516920i
$178$	−1.09976	−	1.26919i	−0.0824305	−	0.0951298i
$179$	14.6130	+	9.39120i	1.09223	+	0.701931i	0.957350	−	0.288931i	$-0.0932999\pi$
$179$	14.6130	+	9.39120i	1.09223	+	0.701931i	0.134876	+	0.990862i	$0.456936\pi$
$180$	−4.44221	+	5.12658i	−0.331103	+	0.382113i
$181$	19.9652	−	5.86233i	1.48401	−	0.435743i	0.563382	−	0.826196i	$-0.309500\pi$
$181$	19.9652	−	5.86233i	1.48401	−	0.435743i	0.920623	+	0.390453i	$0.127682\pi$
$182$	4.64245	+	3.91851i	0.344122	+	0.290459i
$183$		−	9.96345i		−	0.736520i
$184$	2.49109	+	4.09811i	0.183645	+	0.302117i
$185$			5.17875i			0.380749i
$186$	−3.77769	−	8.27200i	−0.276994	−	0.606532i
$187$	0.128427	+	0.437382i	0.00939151	+	0.0319846i
$188$	−2.60846	−	2.26024i	−0.190241	−	0.164845i
$189$	−4.96768	−	0.648635i	−0.361345	−	0.0471813i
$190$	6.81224	+	7.86175i	0.494212	+	0.570351i
$191$	−4.52007	+	0.649888i	−0.327061	+	0.0470242i	−0.303890	−	0.952707i	$-0.598285\pi$
$191$	−4.52007	+	0.649888i	−0.327061	+	0.0470242i	−0.0231712	+	0.999732i	$0.507376\pi$
$192$	0.730873	−	2.48912i	0.0527462	−	0.179637i
$193$	−20.9423	+	13.4588i	−1.50746	+	0.968787i	−0.513615	+	0.858021i	$0.671694\pi$
$193$	−20.9423	+	13.4588i	−1.50746	+	0.968787i	−0.993847	+	0.110766i	$0.964670\pi$
$194$	1.75836	−	12.2296i	0.126243	−	0.878038i
$195$	4.50033	−	9.85434i	0.322275	−	0.705684i
$196$	3.07199	+	6.28990i	0.219428	+	0.449279i
$197$	3.28172	−	22.8248i	0.233813	−	1.62620i	−0.447552	−	0.894258i	$-0.647704\pi$
$197$	3.28172	−	22.8248i	0.233813	−	1.62620i	0.681365	−	0.731944i	$-0.261387\pi$
$198$	0.295707	+	0.460129i	0.0210150	+	0.0326999i
$199$	14.6718	+	4.30802i	1.04005	+	0.305387i	0.756792	−	0.653656i	$-0.226765\pi$
$199$	14.6718	+	4.30802i	1.04005	+	0.305387i	0.283261	+	0.959043i	$0.408584\pi$
$200$	0.240865	+	1.67525i	0.0170317	+	0.118458i
$201$	3.14493	+	3.62945i	0.221827	+	0.256002i
$202$	−10.3899	+	16.1670i	−0.731033	+	1.13751i
$203$	−18.9086	−	5.28683i	−1.32713	−	0.371062i
$204$	−2.27199	−	7.73770i	−0.159071	−	0.541747i
$205$	−13.9781	+	6.38357i	−0.976270	+	0.445848i
$206$	−3.79752			−0.264586
$207$	17.6367	+	2.98786i	1.22584	+	0.207671i
$208$			2.29618i			0.159211i
$209$	0.762974	−	0.348438i	0.0527760	−	0.0241020i
$210$	9.32696	−	8.29596i	0.643622	−	0.572476i
$211$	−13.0019	+	15.0050i	−0.895089	+	1.03299i	0.104173	+	0.994559i	$0.466781\pi$
$211$	−13.0019	+	15.0050i	−0.895089	+	1.03299i	−0.999261	+	0.0384282i	$0.987765\pi$
$212$	−6.43373	+	10.0111i	−0.441870	+	0.687563i
$213$	−22.2363	+	19.2678i	−1.52360	+	1.32021i
$214$	−12.2174	+	1.75660i	−0.835167	+	0.120079i
$215$	−2.00323	+	6.82238i	−0.136619	+	0.465283i
$216$	−1.02373	−	1.59295i	−0.0696558	−	0.108386i
$217$	2.72805	+	8.86417i	0.185192	+	0.601739i
$218$	−9.58622	−	4.37788i	−0.649261	−	0.296508i
$219$	−3.35447	+	7.34526i	−0.226674	+	0.496346i
$220$	−0.263975	−	0.0379538i	−0.0177972	−	0.00255885i
$221$	3.85905	+	6.00479i	0.259588	+	0.403926i
$222$	−7.08794	−	2.08121i	−0.475712	−	0.139682i
$223$	9.24282	−	1.32892i	0.618945	−	0.0889909i	0.174292	−	0.984694i	$-0.444236\pi$
$223$	9.24282	−	1.32892i	0.618945	−	0.0889909i	0.444653	+	0.895703i	$0.353327\pi$
$224$	−1.06780	+	2.42070i	−0.0713451	+	0.161740i
$225$	5.31066	+	3.41296i	0.354044	+	0.227530i
$226$	10.0249	+	8.68666i	0.666849	+	0.577828i
$227$	0.175392	−	0.0514997i	0.0116412	−	0.00341815i	−0.275907	−	0.961184i	$-0.588978\pi$
$227$	0.175392	−	0.0514997i	0.0116412	−	0.00341815i	0.287548	+	0.957766i	$0.407160\pi$
$228$	−13.4977	+	6.16420i	−0.893908	+	0.408234i
$229$	3.66720			0.242336			0.121168	−	0.992632i	$-0.461336\pi$
$229$	3.66720			0.242336			0.121168	+	0.992632i	$0.461336\pi$
$230$	−6.73245	+	5.54500i	−0.443925	+	0.365627i
$231$	−0.429942	−	0.910035i	−0.0282881	−	0.0598759i
$232$	−3.08275	−	6.75028i	−0.202392	−	0.443177i
$233$	12.5155	−	3.67488i	0.819917	−	0.240749i	0.155236	−	0.987877i	$-0.450386\pi$
$233$	12.5155	−	3.67488i	0.819917	−	0.240749i	0.664680	+	0.747128i	$0.268568\pi$
$234$	6.47265	+	5.60859i	0.423131	+	0.366645i
$235$	3.39364	−	5.28061i	0.221377	−	0.344469i
$236$	2.02408	−	1.75387i	0.131756	−	0.114167i
$237$	3.18122	+	22.1259i	0.206643	+	1.43723i
$238$	1.27591	+	8.12502i	0.0827050	+	0.526667i
$239$	−5.88648	+	3.78301i	−0.380765	+	0.244703i	−0.716997	−	0.697077i	$-0.754484\pi$
$239$	−5.88648	+	3.78301i	−0.380765	+	0.244703i	0.336232	+	0.941779i	$0.390847\pi$
$240$	4.66996	+	0.671438i	0.301444	+	0.0433412i
$241$	−12.1600	+	26.6266i	−0.783292	+	1.71517i	−0.0883679	+	0.996088i	$0.528165\pi$
$241$	−12.1600	+	26.6266i	−0.783292	+	1.71517i	−0.694924	+	0.719083i	$0.744562\pi$
$242$	4.56063	−	9.98639i	0.293169	−	0.641950i
$243$	21.7422	+	3.12605i	1.39476	+	0.200536i
$244$	−3.23096	+	2.07641i	−0.206841	+	0.132929i
$245$	−10.5277	+	7.15800i	−0.672587	+	0.457308i
$246$	−3.11950	−	21.6966i	−0.198892	−	1.38332i
$247$	9.92598	−	8.60091i	0.631575	−	0.547263i
$248$	−1.89517	+	2.94895i	−0.120344	+	0.187258i
$249$	31.3130	+	27.1329i	1.98438	+	1.71948i
$250$	−11.6783	+	3.42906i	−0.738601	+	0.216873i
$251$	−11.6508	−	25.5117i	−0.735391	−	1.61028i	−0.790990	−	0.611829i	$-0.790434\pi$
$251$	−11.6508	−	25.5117i	−0.735391	−	1.61028i	0.0555994	−	0.998453i	$-0.482293\pi$
$252$	4.21551	+	8.92274i	0.265552	+	0.562079i
$253$	0.276052	+	0.646819i	0.0173552	+	0.0406651i
$254$	4.20928			0.264114
$255$	13.3410	−	6.09261i	0.835443	−	0.381534i
$256$	−0.959493	+	0.281733i	−0.0599683	+	0.0176083i
$257$	−6.21433	−	5.38475i	−0.387639	−	0.335891i	0.439139	−	0.898419i	$-0.355284\pi$
$257$	−6.21433	−	5.38475i	−0.387639	−	0.335891i	−0.826778	+	0.562528i	$0.809829\pi$
$258$	−8.53247	−	5.48348i	−0.531208	−	0.341387i
$259$	6.89312	+	3.04062i	0.428317	+	0.188935i
$260$	−4.13346	+	0.594302i	−0.256346	+	0.0368571i
$261$	−26.5581	−	7.79815i	−1.64390	−	0.482693i
$262$	4.84013	+	7.53139i	0.299024	+	0.465291i
$263$	−2.68136	−	0.385521i	−0.165340	−	0.0237723i	0.0591478	−	0.998249i	$-0.481162\pi$
$263$	−2.68136	−	0.385521i	−0.165340	−	0.0237723i	−0.224487	+	0.974477i	$0.572071\pi$
$264$	0.158030	−	0.346039i	0.00972610	−	0.0212972i
$265$	−19.6866	−	8.99057i	−1.20934	−	0.552286i
$266$	14.4640	−	4.45146i	0.886844	−	0.272937i
$267$	2.35539	+	3.66505i	0.144147	+	0.224298i
$268$	0.521549	−	1.77623i	0.0318587	−	0.108501i
$269$	−7.86388	+	1.13065i	−0.479469	+	0.0689372i	−0.377812	−	0.925882i	$-0.623323\pi$
$269$	−7.86388	+	1.13065i	−0.479469	+	0.0689372i	−0.101657	+	0.994820i	$0.532414\pi$
$270$	2.60258	−	2.25515i	0.158388	−	0.137244i
$271$	−14.7593	+	22.9659i	−0.896563	+	1.39508i	0.0219806	+	0.999758i	$0.493003\pi$
$271$	−14.7593	+	22.9659i	−0.896563	+	1.39508i	−0.918543	+	0.395320i	$0.870634\pi$
$272$	−2.03570	+	2.34933i	−0.123433	+	0.142449i
$273$	−10.4742	−	11.7759i	−0.633928	−	0.712711i
$274$	13.1391	−	6.00044i	0.793763	−	0.362500i
$275$			0.248186i			0.0149662i
$276$	−4.88362	−	11.4428i	−0.293959	−	0.688777i
$277$	11.8830			0.713982			0.356991	−	0.934108i	$-0.383803\pi$
$277$	11.8830			0.713982			0.356991	+	0.934108i	$0.383803\pi$
$278$	12.2013	−	5.57213i	0.731783	−	0.334194i
$279$	3.68363	+	12.5453i	0.220533	+	0.751066i
$280$	−4.63400	−	1.29566i	−0.276934	−	0.0774304i
$281$	4.01896	−	6.25362i	0.239751	−	0.373060i	−0.700438	−	0.713713i	$-0.747012\pi$
$281$	4.01896	−	6.25362i	0.239751	−	0.373060i	0.940189	+	0.340654i	$0.110648\pi$
$282$	5.86354	+	6.76688i	0.349168	+	0.402962i
$283$	−1.99165	−	13.8523i	−0.118392	−	0.823431i	−0.959327	−	0.282296i	$-0.908904\pi$
$283$	−1.99165	−	13.8523i	−0.118392	−	0.823431i	0.840936	−	0.541135i	$-0.182005\pi$
$284$	10.8823	+	3.19534i	0.645746	+	0.189608i
$285$	−14.5900	−	22.7024i	−0.864236	−	1.34478i
$286$	−0.0479193	+	0.333286i	−0.00283352	+	0.0197076i
$287$	0.289783	+	22.3533i	0.0171053	+	1.31948i
$288$	−1.54946	+	3.39285i	−0.0913029	+	0.199925i
$289$	1.04411	−	7.26191i	0.0614179	−	0.427171i
$290$	11.3536	−	7.29652i	0.666707	−	0.428467i
$291$	−9.03023	+	30.7541i	−0.529362	+	1.80284i
$292$	3.08101	−	0.442983i	0.180303	−	0.0259236i
$293$	10.4828	+	12.0978i	0.612410	+	0.706759i	0.974247	−	0.225483i	$-0.0723959\pi$
$293$	10.4828	+	12.0978i	0.612410	+	0.706759i	−0.361837	+	0.932241i	$0.617850\pi$
$294$	−5.56607	−	17.2854i	−0.324620	−	1.00810i
$295$	3.68110	+	3.18969i	0.214322	+	0.185711i
$296$	0.802252	+	2.73222i	0.0466299	+	0.158807i
$297$	−0.115348	−	0.252578i	−0.00669319	−	0.0146560i
$298$		−	5.46173i		−	0.316390i
$299$	7.00094	+	8.50018i	0.404875	+	0.491578i
$300$		−	4.39064i		−	0.253494i
$301$	7.90469	+	6.67203i	0.455619	+	0.384569i
$302$	−7.74413	+	2.27388i	−0.445625	+	0.130847i
$303$	32.6481	−	37.6779i	1.87558	−	2.16454i
$304$	4.81190	+	3.09242i	0.275981	+	0.177363i
$305$	−4.57410	−	5.27879i	−0.261912	−	0.302263i
$306$	1.65011	+	11.4768i	0.0943308	+	0.656085i
$307$	4.38038	−	14.9182i	0.250001	−	0.851426i	−0.734880	−	0.678197i	$-0.762762\pi$
$307$	4.38038	−	14.9182i	0.250001	−	0.851426i	0.984882	−	0.173229i	$-0.0554202\pi$
$308$	−0.205506	+	0.329076i	−0.0117098	+	0.0187509i
$309$	9.75129	+	1.40202i	0.554732	+	0.0797584i
$310$	−5.79905	−	2.64834i	−0.329364	−	0.150416i
$311$	7.24614	+	3.30920i	0.410891	+	0.187648i	0.610126	−	0.792304i	$-0.291119\pi$
$311$	7.24614	+	3.30920i	0.410891	+	0.187648i	−0.199236	+	0.979952i	$0.563846\pi$
$312$	0.847736	−	5.89613i	0.0479936	−	0.333803i
$313$	16.8700	−	10.8417i	0.953548	−	0.612808i	0.0313426	−	0.999509i	$-0.490022\pi$
$313$	16.8700	−	10.8417i	0.953548	−	0.612808i	0.922205	+	0.386701i	$0.126385\pi$
$314$	−14.9532	−	4.39067i	−0.843860	−	0.247780i
$315$	−14.9712	+	9.89793i	−0.843530	+	0.557685i
$316$	6.51204	−	5.64271i	0.366331	−	0.317427i
$317$	5.65169	+	3.63212i	0.317431	+	0.204000i	0.689647	−	0.724146i	$-0.257766\pi$
$317$	5.65169	+	3.63212i	0.317431	+	0.204000i	−0.372216	+	0.928146i	$0.621402\pi$
$318$	20.2166	−	23.3312i	1.13369	−	1.30835i
$319$	−0.306582	−	1.04412i	−0.0171653	−	0.0584597i
$320$	−0.755498	−	1.65431i	−0.0422336	−	0.0924788i
$321$	32.0205			1.78721
$322$	3.42776	+	12.2168i	0.191022	+	0.680816i
$323$	17.7810			0.989359
$324$	−2.60776	−	5.71021i	−0.144876	−	0.317234i
$325$	1.09488	+	3.72882i	0.0607330	+	0.206838i
$326$	13.4856	−	15.5632i	0.746900	−	0.861968i
$327$	22.9992	+	14.7807i	1.27186	+	0.817375i
$328$	−6.38569	+	5.53323i	−0.352591	+	0.305522i
$329$	−5.03617	−	7.61749i	−0.277653	−	0.419966i
$330$	0.663822	+	0.194916i	0.0365422	+	0.0107298i
$331$	13.9657	−	8.97522i	0.767625	−	0.493323i	−0.0972805	−	0.995257i	$-0.531014\pi$
$331$	13.9657	−	8.97522i	0.767625	−	0.493323i	0.864906	+	0.501934i	$0.167378\pi$
$332$	2.27296	−	15.8088i	0.124745	−	0.867620i
$333$	9.66135	+	4.41219i	0.529439	+	0.241787i
$334$	5.31246	+	2.42612i	0.290685	+	0.132751i
$335$	3.33247	+	0.479137i	0.182072	+	0.0261780i
$336$	3.63560	−	5.82167i	0.198338	−	0.317598i
$337$	−2.70761	+	9.22128i	−0.147493	+	0.502315i	−0.999785	−	0.0207519i	$-0.993394\pi$
$337$	−2.70761	+	9.22128i	−0.147493	+	0.502315i	0.852292	+	0.523067i	$0.175212\pi$
$338$	−1.09975	−	7.64890i	−0.0598183	−	0.416046i
$339$	−22.5350	−	26.0068i	−1.22393	−	1.41249i
$340$	−4.75602	−	3.05651i	−0.257931	−	0.165762i
$341$	−0.336622	+	0.388483i	−0.0182291	+	0.0210375i
$342$	20.4706	−	6.01070i	1.10692	−	0.325022i
$343$	3.34644	+	18.2154i	0.180691	+	0.983540i
$344$			3.90970i			0.210797i
$345$	19.3348	−	11.7529i	1.04095	−	0.632754i
$346$			1.89280i			0.101757i
$347$	−5.96324	−	13.0577i	−0.320123	−	0.700972i	0.679337	−	0.733827i	$-0.262268\pi$
$347$	−5.96324	−	13.0577i	−0.320123	−	0.700972i	−0.999460	+	0.0328544i	$0.989540\pi$
$348$	5.42373	+	18.4715i	0.290742	+	0.990177i
$349$	−20.0486	−	17.3722i	−1.07318	−	0.929912i	−0.0754389	−	0.997150i	$-0.524036\pi$
$349$	−20.0486	−	17.3722i	−1.07318	−	0.929912i	−0.997737	+	0.0672383i	$0.978581\pi$
$350$	−0.579761	+	4.44019i	−0.0309895	+	0.237338i
$351$	−2.84728	−	3.28593i	−0.151976	−	0.175390i
$352$	−0.145148	+	0.0208691i	−0.00773641	+	0.00111233i
$353$	6.89578	−	23.4849i	0.367025	−	1.24997i	−0.544511	−	0.838754i	$-0.683285\pi$
$353$	6.89578	−	23.4849i	0.367025	−	1.24997i	0.911536	−	0.411220i	$-0.134897\pi$
$354$	−5.84494	+	3.75632i	−0.310655	+	0.199646i
$355$	−2.93549	+	20.4168i	−0.155800	+	1.08361i
$356$	0.697639	−	1.52762i	0.0369748	−	0.0809636i
$357$	−0.276575	−	21.3345i	−0.0146379	−	1.12914i
$358$	−2.47208	+	17.1937i	−0.130653	+	0.908715i
$359$	5.88889	+	9.16329i	0.310804	+	0.483620i	0.961153	−	0.276015i	$-0.0890139\pi$
$359$	5.88889	+	9.16329i	0.310804	+	0.483620i	−0.650350	+	0.759635i	$0.725378\pi$
$360$	−6.50866	−	1.91112i	−0.343037	−	0.100725i
$361$	−1.95220	−	13.5778i	−0.102747	−	0.714623i
$362$	13.6264	+	15.7257i	0.716189	+	0.826526i
$363$	−15.3977	+	23.9593i	−0.808171	+	1.25754i
$364$	−1.63586	+	5.85073i	−0.0857421	+	0.306662i
$365$	1.59487	+	5.43162i	0.0834792	+	0.284304i
$366$	9.06307	−	4.13897i	0.473734	−	0.216347i
$367$	−30.5671			−1.59559			−0.797795	−	0.602928i	$-0.794001\pi$
$367$	−30.5671			−1.59559			−0.797795	+	0.602928i	$0.794001\pi$
$368$	−2.69294	+	3.96839i	−0.140379	+	0.206866i
$369$			31.5158i			1.64065i
$370$	−4.71076	+	2.15133i	−0.244901	+	0.111842i
$371$	−23.5255	+	20.9250i	−1.22138	+	1.08637i
$372$	5.95516	−	6.87262i	0.308761	−	0.356329i
$373$	−19.0258	+	29.6047i	−0.985117	+	1.53287i	−0.145739	+	0.989323i	$0.546556\pi$
$373$	−19.0258	+	29.6047i	−0.985117	+	1.53287i	−0.839378	+	0.543549i	$0.817080\pi$
$374$	−0.344506	+	0.298516i	−0.0178140	+	0.0154359i
$375$	31.2536	−	4.49359i	1.61393	−	0.232048i
$376$	0.972396	−	3.31168i	0.0501475	−	0.170787i
$377$	−9.21235	−	14.3347i	−0.474460	−	0.738275i
$378$	−1.47363	−	4.78821i	−0.0757952	−	0.246279i
$379$	16.8499	+	7.69508i	0.865520	+	0.395270i	0.798150	−	0.602459i	$-0.205812\pi$
$379$	16.8499	+	7.69508i	0.865520	+	0.395270i	0.0673694	+	0.997728i	$0.478539\pi$
$380$	−4.32139	+	9.46252i	−0.221683	+	0.485417i
$381$	−10.8086	−	1.55404i	−0.553741	−	0.0796160i
$382$	−2.46886	−	3.84163i	−0.126318	−	0.196555i
$383$	−16.6163	−	4.87900i	−0.849055	−	0.249305i	−0.171872	−	0.985119i	$-0.554981\pi$
$383$	−16.6163	−	4.87900i	−0.849055	−	0.249305i	−0.677183	+	0.735814i	$0.736800\pi$
$384$	2.56780	−	0.369194i	0.131038	−	0.0188404i
$385$	−0.645576	−	0.284770i	−0.0329016	−	0.0145132i
$386$	−20.9423	−	13.4588i	−1.06594	−	0.685036i
$387$	11.0210	+	9.54972i	0.560227	+	0.485439i
$388$	11.8549	−	3.48092i	0.601843	−	0.176717i
$389$	15.0821	−	6.88779i	0.764695	−	0.349225i	0.00541238	−	0.999985i	$-0.498277\pi$
$389$	15.0821	−	6.88779i	0.764695	−	0.349225i	0.759283	+	0.650761i	$0.225550\pi$
$390$	10.8333			0.548567
$391$	−0.372942	+	14.9037i	−0.0188605	+	0.753711i
$392$	−4.44534	+	5.40730i	−0.224524	+	0.273110i
$393$	−9.64796	−	21.1261i	−0.486675	−	1.06567i
$394$	22.1255	−	6.49663i	1.11467	−	0.327295i
$395$	11.8432	+	10.2622i	0.595895	+	0.516346i
$396$	−0.295707	+	0.460129i	−0.0148598	+	0.0231223i
$397$	0.0352935	−	0.0305820i	0.00177133	−	0.00153487i	−0.653975	−	0.756516i	$-0.726900\pi$
$397$	0.0352935	−	0.0305820i	0.00177133	−	0.00153487i	0.655746	+	0.754982i	$0.272354\pi$
$398$	2.17616	+	15.1355i	0.109081	+	0.758675i
$399$	−38.7841	+	6.09045i	−1.94163	+	0.304904i
$400$	−1.42380	+	0.915023i	−0.0711902	+	0.0457512i
$401$	−17.6863	−	2.54291i	−0.883213	−	0.126987i	−0.314241	−	0.949343i	$-0.601750\pi$
$401$	−17.6863	−	2.54291i	−0.883213	−	0.126987i	−0.568973	+	0.822356i	$0.692659\pi$
$402$	−1.99501	+	4.36846i	−0.0995020	+	0.217879i
$403$	−3.34371	+	7.32169i	−0.166562	+	0.364720i
$404$	−19.0222	−	2.73498i	−0.946389	−	0.136070i
$405$	9.60427	−	6.17229i	0.477240	−	0.306704i
$406$	−3.04587	−	19.3961i	−0.151164	−	0.962614i
$407$	0.0594262	+	0.413318i	0.00294565	+	0.0204874i
$408$	6.09464	−	5.28103i	0.301730	−	0.261450i
$409$	15.3054	−	23.8157i	0.756804	−	1.17761i	−0.222445	−	0.974945i	$-0.571404\pi$
$409$	15.3054	−	23.8157i	0.756804	−	1.17761i	0.979248	−	0.202664i	$-0.0649599\pi$
$410$	−11.6134	−	10.0631i	−0.573545	−	0.496979i
$411$	−35.9540	+	10.5570i	−1.77348	+	0.520741i
$412$	−1.57755	−	3.45435i	−0.0777202	−	0.170184i
$413$	6.40690	−	3.02691i	0.315263	−	0.148945i
$414$	4.60871	+	17.2841i	0.226506	+	0.849469i
$415$	29.0465			1.42583
$416$	−2.08868	+	0.953867i	−0.102406	+	0.0467672i
$417$	−33.3876	+	9.80349i	−1.63500	+	0.480079i
$418$	0.633901	+	0.549279i	0.0310051	+	0.0268661i
$419$	1.92096	+	1.23452i	0.0938448	+	0.0603104i	0.586722	−	0.809789i	$-0.300418\pi$
$419$	1.92096	+	1.23452i	0.0938448	+	0.0603104i	−0.492877	+	0.870099i	$0.664055\pi$
$420$	11.4208	+	5.03784i	0.557280	+	0.245821i
$421$	−20.1264	+	2.89374i	−0.980901	+	0.141032i	−0.614067	−	0.789254i	$-0.710467\pi$
$421$	−20.1264	+	2.89374i	−0.980901	+	0.141032i	−0.366834	+	0.930286i	$0.619558\pi$
$422$	−19.0502	−	5.59365i	−0.927351	−	0.272295i
$423$	−6.96007	−	10.8301i	−0.338410	−	0.526576i
$424$	−11.7791	−	1.69357i	−0.572042	−	0.0822472i
$425$	−2.18560	+	4.78580i	−0.106017	+	0.232145i
$426$	−26.7639	−	12.2227i	−1.29672	−	0.592191i
$427$	−9.71188	+	2.98894i	−0.469991	+	0.144645i
$428$	−6.67317	−	10.3837i	−0.322560	−	0.501913i
$429$	0.246094	−	0.838120i	0.0118815	−	0.0404648i
$430$	−7.03803	+	1.01192i	−0.339404	+	0.0487989i
$431$	−0.581106	+	0.503531i	−0.0279909	+	0.0242542i	−0.668744	−	0.743493i	$-0.733168\pi$
$431$	−0.581106	+	0.503531i	−0.0279909	+	0.0242542i	0.640753	+	0.767747i	$0.278622\pi$
$432$	1.02373	−	1.59295i	0.0492541	−	0.0766408i
$433$	14.4388	−	16.6632i	0.693883	−	0.800783i	−0.294030	−	0.955796i	$-0.594996\pi$
$433$	14.4388	−	16.6632i	0.693883	−	0.800783i	0.987912	+	0.155013i	$0.0495419\pi$
$434$	−6.92986	+	6.16383i	−0.332644	+	0.295873i
$435$	−31.8477	+	14.5443i	−1.52698	+	0.697348i
$436$		−	10.5386i		−	0.504706i
$437$	27.2417	−	3.22349i	1.30315	−	0.154200i
$438$	−8.07498			−0.385837
$439$	18.2930	−	8.35414i	0.873078	−	0.398722i	0.0720876	−	0.997398i	$-0.477034\pi$
$439$	18.2930	−	8.35414i	0.873078	−	0.398722i	0.800991	+	0.598677i	$0.204307\pi$
$440$	−0.0751350	−	0.255886i	−0.00358192	−	0.0121989i
$441$	4.38445	+	25.7386i	0.208783	+	1.22565i
$442$	−3.85905	+	6.00479i	−0.183556	+	0.285619i
$443$	9.43794	+	10.8920i	0.448410	+	0.517493i	0.934281	−	0.356538i	$-0.116043\pi$
$443$	9.43794	+	10.8920i	0.448410	+	0.517493i	−0.485871	+	0.874031i	$0.661497\pi$
$444$	−1.05130	−	7.31198i	−0.0498927	−	0.347011i
$445$	2.93050	+	0.860473i	0.138919	+	0.0407903i
$446$	5.04843	+	7.85551i	0.239050	+	0.371969i
$447$	−2.01644	+	14.0246i	−0.0953743	+	0.663343i
$448$	−2.64553	+	0.0342959i	−0.124989	+	0.00162033i
$449$	−8.94067	+	19.5773i	−0.421936	+	0.923912i	0.572631	+	0.819814i	$0.305923\pi$
$449$	−8.94067	+	19.5773i	−0.421936	+	0.923912i	−0.994567	+	0.104098i	$0.966804\pi$
$450$	−0.898405	+	6.24854i	−0.0423512	+	0.294559i
$451$	−1.04234	+	0.669874i	−0.0490821	+	0.0315431i
$452$	−3.73715	+	12.7276i	−0.175781	+	0.598654i
$453$	20.7249	−	2.97979i	0.973741	−	0.140003i
$454$	0.119706	+	0.138148i	0.00561808	+	0.00648362i
$455$	−10.9556	−	1.43048i	−0.513605	−	0.0670621i
$456$	−11.2143	−	9.71725i	−0.525158	−	0.455052i
$457$	−6.06688	−	20.6619i	−0.283797	−	0.966523i	−0.970804	−	0.239873i	$-0.922894\pi$
$457$	−6.06688	−	20.6619i	−0.283797	−	0.966523i	0.687008	−	0.726650i	$-0.258924\pi$
$458$	1.52341	+	3.33581i	0.0711844	+	0.155872i
$459$		−	5.88627i		−	0.274748i
$460$	−7.84067	−	3.82058i	−0.365573	−	0.178135i
$461$		−	37.7904i		−	1.76007i	−0.474904	−	0.880037i	$-0.657517\pi$
$461$		−	37.7904i		−	1.76007i	0.474904	−	0.880037i	$-0.342483\pi$
$462$	0.649193	−	0.769131i	0.0302032	−	0.0357832i
$463$	−6.89065	+	2.02328i	−0.320236	+	0.0940297i	−0.437900	−	0.899024i	$-0.644278\pi$
$463$	−6.89065	+	2.02328i	−0.320236	+	0.0940297i	0.117664	+	0.993053i	$0.462459\pi$
$464$	4.85965	−	5.60833i	0.225604	−	0.260360i
$465$	13.9131	+	8.94138i	0.645203	+	0.414647i
$466$	8.54191	+	9.85788i	0.395696	+	0.456658i
$467$	−0.311445	−	2.16614i	−0.0144119	−	0.100237i	0.981346	−	0.192251i	$-0.0615787\pi$
$467$	−0.311445	−	2.16614i	−0.0144119	−	0.100237i	−0.995758	+	0.0920137i	$0.970670\pi$
$468$	−2.41291	+	8.21762i	−0.111537	+	0.379860i
$469$	2.59435	−	4.15433i	0.119796	−	0.191829i
$470$	6.21318	+	0.893321i	0.286593	+	0.0412058i
$471$	36.7760	+	16.7950i	1.69455	+	0.773874i
$472$	2.43621	+	1.11258i	0.112136	+	0.0512106i
$473$	−0.0815919	+	0.567484i	−0.00375160	+	0.0260930i
$474$	−18.8049	+	12.0852i	−0.863737	+	0.555090i
$475$	9.28870	+	2.72741i	0.426195	+	0.125142i
$476$	−6.86075	+	4.53586i	−0.314462	+	0.207901i
$477$	−33.5452	+	29.0671i	−1.53593	+	1.33089i
$478$	−5.88648	−	3.78301i	−0.269241	−	0.173031i
$479$	1.99626	−	2.30381i	0.0912116	−	0.105264i	−0.708309	−	0.705903i	$-0.750542\pi$
$479$	1.99626	−	2.30381i	0.0912116	−	0.105264i	0.799520	+	0.600639i	$0.205087\pi$
$480$	1.32921	+	4.52687i	0.0606698	+	0.206622i
$481$	2.71620	+	5.94765i	0.123848	+	0.271189i
$482$	−29.2718			−1.33330
$483$	−4.29144	−	32.6359i	−0.195267	−	1.48498i
$484$	10.9785			0.499023
$485$	9.33449	+	20.4397i	0.423857	+	0.928118i
$486$	6.18847	+	21.0760i	0.280715	+	0.956026i
$487$	3.82734	−	4.41698i	0.173433	−	0.200153i	−0.662378	−	0.749170i	$-0.730453\pi$
$487$	3.82734	−	4.41698i	0.173433	−	0.200153i	0.835811	+	0.549018i	$0.184998\pi$
$488$	−3.23096	−	2.07641i	−0.146259	−	0.0939949i
$489$	−40.3743	+	34.9845i	−1.82579	+	1.58205i
$490$	−10.8845	−	6.60275i	−0.491711	−	0.298282i
$491$	−24.0904	−	7.07358i	−1.08719	−	0.319226i	−0.311436	−	0.950267i	$-0.600810\pi$
$491$	−24.0904	−	7.07358i	−1.08719	−	0.319226i	−0.775750	+	0.631041i	$0.782628\pi$
$492$	18.4400	−	11.8507i	0.831341	−	0.534270i
$493$	3.28300	−	22.8338i	0.147859	−	1.02838i
$494$	11.9471	+	5.45604i	0.537524	+	0.245479i
$495$	−0.904835	−	0.413224i	−0.0406693	−	0.0185731i
$496$	−3.46974	−	0.498873i	−0.155796	−	0.0224001i
$497$	25.4520	+	15.8946i	1.14168	+	0.712972i
$498$	−11.6730	+	39.7547i	−0.523081	+	1.78145i
$499$	0.874394	+	6.08155i	0.0391433	+	0.272247i	0.999988	−	0.00483891i	$-0.00154028\pi$
$499$	0.874394	+	6.08155i	0.0391433	+	0.272247i	−0.960845	+	0.277086i	$0.910631\pi$
$500$	−7.97053	−	9.19848i	−0.356453	−	0.411369i
$501$	−12.7456	−	8.19112i	−0.569433	−	0.365952i
$502$	18.3663	−	21.1959i	0.819729	−	0.946017i
$503$	35.1771	−	10.3289i	1.56847	−	0.460545i	0.621915	−	0.783084i	$-0.286355\pi$
$503$	35.1771	−	10.3289i	1.56847	−	0.460545i	0.946556	+	0.322540i	$0.104537\pi$
$504$	−6.36522	+	7.54120i	−0.283529	+	0.335912i
$505$		−	34.9506i		−	1.55528i
$506$	−0.473691	+	0.519804i	−0.0210581	+	0.0231081i
$507$			20.0469i			0.890314i
$508$	1.74860	+	3.82890i	0.0775815	+	0.169880i
$509$	−10.1534	−	34.5794i	−0.450043	−	1.53271i	−0.802368	−	0.596829i	$-0.796427\pi$
$509$	−10.1534	−	34.5794i	−0.450043	−	1.53271i	0.352325	−	0.935878i	$-0.385391\pi$
$510$	11.0841	+	9.60440i	0.490811	+	0.425290i
$511$	8.16610	+	1.06626i	0.361247	+	0.0471684i
$512$	−0.654861	−	0.755750i	−0.0289410	−	0.0333997i
$513$	−10.7207	+	1.54140i	−0.473329	+	0.0680544i
$514$	2.31661	−	7.88966i	0.102181	−	0.347998i
$515$	5.81003	−	3.73388i	0.256021	−	0.164535i
$516$	1.44344	−	10.0393i	0.0635438	−	0.441957i
$517$	0.210253	−	0.460390i	0.00924692	−	0.0202479i
$518$	0.0976599	+	7.53332i	0.00429093	+	0.330995i
$519$	0.698809	−	4.86032i	0.0306743	−	0.213345i
$520$	−2.25770	−	3.51305i	−0.0990066	−	0.154057i
$521$	−28.2098	−	8.28315i	−1.23589	−	0.362891i	−0.402423	−	0.915454i	$-0.631832\pi$
$521$	−28.2098	−	8.28315i	−1.23589	−	0.362891i	−0.833471	+	0.552562i	$0.813650\pi$
$522$	−3.93917	−	27.3975i	−0.172413	−	1.19916i
$523$	0.211236	+	0.243779i	0.00923670	+	0.0106597i	0.760349	−	0.649515i	$-0.225028\pi$
$523$	0.211236	+	0.243779i	0.00923670	+	0.0106597i	−0.751112	+	0.660174i	$0.770482\pi$
$524$	−4.84013	+	7.53139i	−0.211442	+	0.329010i
$525$	3.12800	−	11.1875i	0.136517	−	0.488262i
$526$	−0.763194	−	2.59920i	−0.0332769	−	0.113331i
$527$	−9.91222	+	4.52676i	−0.431783	+	0.197189i
$528$	0.380416			0.0165555
$529$	2.13049	+	22.9011i	0.0926302	+	0.995701i
$530$		−	21.6424i		−	0.940085i
$531$	9.08684	−	4.14982i	0.394335	−	0.180087i
$532$	10.0577	+	11.3077i	0.436059	+	0.490251i
$533$	−12.7053	+	14.6627i	−0.550328	+	0.635112i
$534$	−2.35539	+	3.66505i	−0.101928	+	0.158602i
$535$	16.9649	−	14.7002i	0.733459	−	0.635546i
$536$	1.83238	−	0.263456i	0.0791466	−	0.0113796i
$537$	12.6956	−	43.2373i	0.547857	−	1.86583i
$538$	−4.29525	−	6.68354i	−0.185181	−	0.288148i
$539$	−0.758078	+	0.692088i	−0.0326527	+	0.0298103i
$540$	3.13251	+	1.43057i	0.134802	+	0.0615618i
$541$	10.3658	−	22.6980i	0.445661	−	0.975862i	−0.544863	−	0.838525i	$-0.683418\pi$
$541$	10.3658	−	22.6980i	0.445661	−	0.975862i	0.990524	−	0.137337i	$-0.0438542\pi$
$542$	−27.0217	−	3.88514i	−1.16068	−	0.166881i
$543$	−29.1841	−	45.4114i	−1.25241	−	1.94879i
$544$	−2.98268	−	0.875795i	−0.127881	−	0.0375494i
$545$	18.9710	−	2.72762i	0.812628	−	0.116838i
$546$	6.36061	−	14.4196i	0.272209	−	0.617101i
$547$	−7.95636	−	5.11324i	−0.340189	−	0.218626i	0.359380	−	0.933191i	$-0.382988\pi$
$547$	−7.95636	−	5.11324i	−0.340189	−	0.218626i	−0.699569	+	0.714565i	$0.746625\pi$
$548$	10.9164	+	9.45909i	0.466324	+	0.404072i
$549$	−13.7450	+	4.03590i	−0.586623	+	0.172248i
$550$	−0.225758	+	0.103100i	−0.00962635	+	0.00439621i
$551$	−42.4469			−1.80830
$552$	8.38003	−	9.19581i	0.356678	−	0.391400i
$553$	20.6129	−	9.73846i	0.876548	−	0.414121i
$554$	4.93639	+	10.8092i	0.209727	+	0.459238i
$555$	12.8905	−	3.78501i	0.547173	−	0.160665i
$556$	10.1372	+	8.78391i	0.429912	+	0.372521i
$557$	7.89677	−	12.2876i	0.334597	−	0.520643i	−0.632664	−	0.774426i	$-0.718039\pi$
$557$	7.89677	−	12.2876i	0.334597	−	0.520643i	0.967261	+	0.253783i	$0.0816750\pi$
$558$	−9.88135	+	8.56224i	−0.418311	+	0.362469i
$559$	1.27761	+	8.88599i	0.0540372	+	0.375837i
$560$	−0.746459	−	4.75347i	−0.0315437	−	0.200871i
$561$	0.994835	−	0.639341i	0.0420020	−	0.0269930i
$562$	7.35803	+	1.05792i	0.310380	+	0.0446258i
$563$	6.58852	−	14.4268i	0.277673	−	0.608019i	−0.718490	−	0.695537i	$-0.755166\pi$
$563$	6.58852	−	14.4268i	0.277673	−	0.608019i	0.996163	+	0.0875184i	$0.0278937\pi$
$564$	−3.71957	+	8.14472i	−0.156622	+	0.342955i
$565$	−23.8788	−	3.43325i	−1.00459	−	0.144438i
$566$	11.7731	−	7.56611i	0.494860	−	0.318027i
$567$	−2.57657	−	16.4076i	−0.108206	−	0.689055i
$568$	1.61410	+	11.2263i	0.0677260	+	0.471045i
$569$	−21.0111	+	18.2062i	−0.880831	+	0.763245i	−0.972588	−	0.232537i	$-0.925297\pi$
$569$	−21.0111	+	18.2062i	−0.880831	+	0.763245i	0.0917562	+	0.995782i	$0.470752\pi$
$570$	14.5900	−	22.7024i	0.611107	−	0.950901i
$571$	16.7289	+	14.4956i	0.700081	+	0.606624i	0.930424	−	0.366486i	$-0.119439\pi$
$571$	16.7289	+	14.4956i	0.700081	+	0.606624i	−0.230342	+	0.973110i	$0.573985\pi$
$572$	−0.323074	+	0.0948630i	−0.0135084	+	0.00396642i
$573$	4.92125	+	10.7760i	0.205588	+	0.450175i
$574$	−20.2129	+	9.54951i	−0.843672	+	0.398589i
$575$	−2.48089	+	7.72841i	−0.103460	+	0.322297i
$576$	−3.72991			−0.155413
$577$	−1.23337	+	0.563260i	−0.0513457	+	0.0234488i	−0.440922	−	0.897545i	$-0.645349\pi$
$577$	−1.23337	+	0.563260i	−0.0513457	+	0.0234488i	0.389577	+	0.920994i	$0.372621\pi$
$578$	7.03940	−	2.06696i	0.292801	−	0.0859740i
$579$	48.8068	+	42.2914i	2.02834	+	1.75757i
$580$	11.3536	+	7.29652i	0.471433	+	0.302972i
$581$	17.0542	−	38.6620i	0.707525	−	1.60397i
$582$	−31.7262	+	4.56155i	−1.31510	+	0.189082i
$583$	−1.67436	−	0.491637i	−0.0693450	−	0.0203615i
$584$	1.68285	+	2.61857i	0.0696368	+	0.108357i
$585$	−15.4174	−	2.21669i	−0.637433	−	0.0916490i
$586$	−6.64981	+	14.5611i	−0.274701	+	0.601512i
$587$	−42.3510	−	19.3411i	−1.74801	−	0.798291i	−0.989126	−	0.147069i	$-0.953016\pi$
$587$	−42.3510	−	19.3411i	−1.74801	−	0.798291i	−0.758887	−	0.651222i	$-0.774257\pi$
$588$	13.4111	−	12.2437i	0.553065	−	0.504921i
$589$	10.8402	+	16.8677i	0.446664	+	0.695023i
$590$	−1.37226	+	4.67350i	−0.0564951	+	0.192405i
$591$	−59.2124	+	8.51345i	−2.43567	+	0.350197i
$592$	−2.15205	+	1.86476i	−0.0884486	+	0.0766411i
$593$	−16.6491	+	25.9065i	−0.683696	+	1.06385i	0.309889	+	0.950773i	$0.399708\pi$
$593$	−16.6491	+	25.9065i	−0.683696	+	1.06385i	−0.993586	+	0.113080i	$0.963928\pi$
$594$	0.181835	−	0.209849i	0.00746079	−	0.00861021i
$595$	−9.94094	−	11.1764i	−0.407539	−	0.458187i
$596$	4.96816	−	2.26888i	0.203504	−	0.0929371i
$597$		−	39.6684i		−	1.62352i
$598$	−4.82374	+	9.89938i	−0.197257	+	0.404816i
$599$	5.12884			0.209559			0.104779	−	0.994496i	$-0.466586\pi$
$599$	5.12884			0.209559			0.104779	+	0.994496i	$0.466586\pi$
$600$	3.99387	−	1.82394i	0.163049	−	0.0744620i
$601$	−0.950241	−	3.23622i	−0.0387611	−	0.132008i	0.937839	−	0.347069i	$-0.112823\pi$
$601$	−0.950241	−	3.23622i	−0.0387611	−	0.132008i	−0.976601	+	0.215061i	$0.931005\pi$
$602$	−2.78536	+	9.96202i	−0.113523	+	0.406022i
$603$	3.73306	−	5.80876i	0.152022	−	0.236551i
$604$	−5.28542	−	6.09971i	−0.215061	−	0.248193i
$605$	2.84148	+	19.7629i	0.115523	+	0.803477i
$606$	47.8355	+	14.0458i	1.94318	+	0.570570i
$607$	−23.5283	−	36.6108i	−0.954986	−	1.48599i	−0.872041	−	0.489433i	$-0.837204\pi$
$607$	−23.5283	−	36.6108i	−0.954986	−	1.48599i	−0.0829450	−	0.996554i	$-0.526433\pi$
$608$	−0.814029	+	5.66170i	−0.0330132	+	0.229612i
$609$	0.660242	+	50.9299i	0.0267544	+	2.06379i
$610$	2.90161	−	6.35363i	0.117483	−	0.257251i
$611$	1.12788	−	7.84456i	0.0456290	−	0.317357i
$612$	−9.75418	+	6.26863i	−0.394289	+	0.253394i
$613$	13.4163	−	45.6917i	0.541879	−	1.84547i	0.00790810	−	0.999969i	$-0.497483\pi$
$613$	13.4163	−	45.6917i	0.541879	−	1.84547i	0.533971	−	0.845503i	$-0.320699\pi$
$614$	15.3897	−	2.21271i	0.621079	−	0.0892977i
$615$	26.1057	+	30.1276i	1.05268	+	1.21486i
$616$	−0.384709	−	0.0502319i	−0.0155004	−	0.00202390i
$617$	0.242398	+	0.210039i	0.00975858	+	0.00845586i	0.659726	−	0.751506i	$-0.270672\pi$
$617$	0.242398	+	0.210039i	0.00975858	+	0.00845586i	−0.649968	+	0.759962i	$0.725218\pi$
$618$	2.77551	+	9.45251i	0.111647	+	0.380236i
$619$	10.6305	+	23.2776i	0.427276	+	0.935604i	0.993761	+	0.111532i	$0.0355756\pi$
$619$	10.6305	+	23.2776i	0.427276	+	0.935604i	−0.566485	+	0.824072i	$0.691697\pi$
$620$		−	6.37516i		−	0.256033i
$621$	−1.06711	−	9.01820i	−0.0428218	−	0.361888i
$622$			7.96601i			0.319408i
$623$	2.86592	−	3.39540i	0.114821	−	0.136034i
$624$	5.71547	−	1.67821i	0.228802	−	0.0671824i
$625$	8.95399	−	10.3335i	0.358159	−	0.413338i
$626$	16.8700	+	10.8417i	0.674260	+	0.433321i
$627$	−1.42494	−	1.64447i	−0.0569067	−	0.0656739i
$628$	−2.21791	−	15.4259i	−0.0885042	−	0.615560i
$629$	−2.49388	+	8.49338i	−0.0994376	+	0.338653i
$630$	−15.2227	−	9.50651i	−0.606488	−	0.378748i
$631$	−15.9410	−	2.29197i	−0.634600	−	0.0912417i	−0.182496	−	0.983207i	$-0.558418\pi$
$631$	−15.9410	−	2.29197i	−0.634600	−	0.0912417i	−0.452105	+	0.891965i	$0.649327\pi$
$632$	7.83799	+	3.57949i	0.311778	+	0.142384i
$633$	46.8521	+	21.3966i	1.86220	+	0.850439i
$634$	−0.956097	+	6.64980i	−0.0379715	+	0.264097i
$635$	−6.44000	+	4.13874i	−0.255564	+	0.164241i
$636$	29.6210	+	8.69752i	1.17455	+	0.344879i
$637$	−8.33641	+	13.7424i	−0.330301	+	0.544494i
$638$	0.822409	−	0.712621i	0.0325595	−	0.0282130i
$639$	35.5881	+	22.8711i	1.40784	+	0.904766i
$640$	1.19097	−	1.37445i	0.0470772	−	0.0543299i
$641$	−2.28167	−	7.77067i	−0.0901207	−	0.306923i	0.902081	−	0.431567i	$-0.142039\pi$
$641$	−2.28167	−	7.77067i	−0.0901207	−	0.306923i	−0.992202	+	0.124644i	$0.960221\pi$
$642$	13.3018	+	29.1269i	0.524980	+	1.14955i
$643$	13.5694			0.535126			0.267563	−	0.963540i	$-0.413782\pi$
$643$	13.5694			0.535126			0.267563	+	0.963540i	$0.413782\pi$
$644$	−9.68886	+	8.19305i	−0.381794	+	0.322851i
$645$	18.4459			0.726305
$646$	7.38648	+	16.1741i	0.290617	+	0.636362i
$647$	11.1932	+	38.1206i	0.440051	+	1.49868i	0.819291	+	0.573378i	$0.194367\pi$
$647$	11.1932	+	38.1206i	0.440051	+	1.49868i	−0.379240	+	0.925298i	$0.623814\pi$
$648$	4.11088	−	4.74421i	0.161491	−	0.186370i
$649$	0.330392	+	0.212330i	0.0129690	+	0.00833469i
$650$	−2.93702	+	2.54494i	−0.115199	+	0.0998209i
$651$	20.0702	−	13.2690i	0.786611	−	0.520055i
$652$	19.7590	+	5.80175i	0.773820	+	0.227214i
$653$	−0.114571	+	0.0736301i	−0.00448350	+	0.00288137i	−0.542881	−	0.839810i	$-0.682666\pi$
$653$	−0.114571	+	0.0736301i	−0.00448350	+	0.00288137i	0.538397	+	0.842691i	$0.319030\pi$
$654$	−3.89078	+	27.0610i	−0.152142	+	1.05817i
$655$	−14.8104	−	6.76366i	−0.578688	−	0.264278i
$656$	−7.68592	−	3.51004i	−0.300085	−	0.137044i
$657$	11.4919	+	1.65229i	0.448342	+	0.0644618i
$658$	4.83701	−	7.74549i	0.188566	−	0.301950i
$659$	−6.35806	+	21.6536i	−0.247675	+	0.843503i	0.737993	+	0.674808i	$0.235774\pi$
$659$	−6.35806	+	21.6536i	−0.247675	+	0.843503i	−0.985668	+	0.168695i	$0.946045\pi$
$660$	0.0984601	+	0.684805i	0.00383255	+	0.0266560i
$661$	−6.49448	−	7.49503i	−0.252606	−	0.291523i	0.615257	−	0.788327i	$-0.289052\pi$
$661$	−6.49448	−	7.49503i	−0.252606	−	0.291523i	−0.867863	+	0.496804i	$0.834507\pi$
$662$	13.9657	+	8.97522i	0.542793	+	0.348832i
$663$	12.1262	−	13.9944i	0.470943	−	0.543497i
$664$	15.3244	−	4.49965i	0.594702	−	0.174620i
$665$	−17.7524	+	21.0321i	−0.688407	+	0.815590i
$666$			10.6212i			0.411562i
$667$	0.890290	−	35.5782i	0.0344722	−	1.37759i
$668$			5.84023i			0.225965i
$669$	−10.0632	−	22.0353i	−0.389064	−	0.851932i
$670$	0.948520	+	3.23036i	0.0366445	+	0.124800i
$671$	−0.425635	−	0.368815i	−0.0164314	−	0.0142379i
$672$	6.80586	+	0.888649i	0.262542	+	0.0342804i
$673$	9.96860	+	11.5044i	0.384261	+	0.443461i	0.914621	−	0.404311i	$-0.132489\pi$
$673$	9.96860	+	11.5044i	0.384261	+	0.443461i	−0.530360	+	0.847772i	$0.677943\pi$
$674$	−9.51275	+	1.36773i	−0.366417	+	0.0526829i
$675$	0.902891	−	3.07497i	0.0347523	−	0.118355i
$676$	6.50084	−	4.17783i	0.250032	−	0.160686i
$677$	−3.42218	+	23.8018i	−0.131525	+	0.914777i	0.812043	+	0.583598i	$0.198356\pi$
$677$	−3.42218	+	23.8018i	−0.131525	+	0.914777i	−0.943568	+	0.331179i	$0.892554\pi$
$678$	14.2952	−	31.3021i	0.549004	−	1.20215i
$679$	32.6866	−	0.423740i	1.25440	−	0.0162617i
$680$	0.804575	−	5.59594i	0.0308541	−	0.214595i
$681$	−0.256378	−	0.398932i	−0.00982443	−	0.0152871i
$682$	−0.493214	−	0.144821i	−0.0188862	−	0.00554548i
$683$	−1.42937	−	9.94149i	−0.0546933	−	0.380401i	−0.998722	−	0.0505376i	$-0.983907\pi$
$683$	−1.42937	−	9.94149i	−0.0546933	−	0.380401i	0.944029	−	0.329863i	$-0.107003\pi$
$684$	13.9713	+	16.1238i	0.534207	+	0.616507i
$685$	−14.2024	+	22.0993i	−0.542644	+	0.844371i
$686$	−15.1792	+	10.6110i	−0.579543	+	0.405129i
$687$	−2.68026	−	9.12813i	−0.102258	−	0.348260i
$688$	−3.55638	+	1.62415i	−0.135586	+	0.0619200i
$689$	−27.3250			−1.04100
$690$	18.7228	+	12.7052i	0.712763	+	0.483679i
$691$			11.2148i			0.426630i	0.976984	+	0.213315i	$0.0684260\pi$
$691$			11.2148i			0.426630i	−0.976984	+	0.213315i	$0.931574\pi$
$692$	−1.72175	+	0.786296i	−0.0654510	+	0.0298905i
$693$	−1.08128	+	0.961753i	−0.0410743	+	0.0365340i
$694$	9.40045	−	10.8487i	0.356836	−	0.411811i
$695$	−13.1886	+	20.5219i	−0.500272	+	0.778439i
$696$	−14.5492	+	12.6069i	−0.551485	+	0.477865i
$697$	−25.9987	+	3.73805i	−0.984772	+	0.141589i
$698$	7.47382	−	25.4535i	0.282888	−	0.963429i
$699$	−18.2944	−	28.4667i	−0.691960	−	1.07671i
$700$	−4.27978	+	1.31715i	−0.161760	+	0.0497837i
$701$	−11.6281	−	5.31039i	−0.439189	−	0.200571i	0.183534	−	0.983013i	$-0.441246\pi$
$701$	−11.6281	−	5.31039i	−0.439189	−	0.200571i	−0.622723	+	0.782443i	$0.713973\pi$
$702$	1.80619	−	3.95500i	0.0681702	−	0.149272i
$703$	16.1221	+	2.31800i	0.608055	+	0.0874251i
$704$	−0.0792799	−	0.123362i	−0.00298797	−	0.00464938i
$705$	−15.6244	−	4.58774i	−0.588449	−	0.172784i
$706$	24.2272	−	3.48335i	0.911803	−	0.131097i
$707$	−46.5206	−	20.5207i	−1.74959	−	0.771760i
$708$	−5.84494	−	3.75632i	−0.219666	−	0.141171i
$709$	−9.26047	−	8.02424i	−0.347784	−	0.301357i	0.463398	−	0.886150i	$-0.346630\pi$
$709$	−9.26047	−	8.02424i	−0.347784	−	0.301357i	−0.811182	+	0.584794i	$0.801175\pi$
$710$	−19.7912	+	5.81122i	−0.742751	+	0.218091i
$711$	29.2350	−	13.3512i	1.09640	−	0.500708i
$712$	1.67938			0.0629374
$713$	−14.3656	+	8.73230i	−0.537996	+	0.327027i
$714$	19.2917	−	9.11425i	0.721972	−	0.341092i
$715$	−0.254386	−	0.557028i	−0.00951350	−	0.0208317i
$716$	−16.6669	+	4.89383i	−0.622870	+	0.182891i
$717$	13.7186	+	11.8873i	0.512332	+	0.443938i
$718$	−5.88889	+	9.16329i	−0.219771	+	0.341971i
$719$	27.5014	−	23.8301i	1.02563	−	0.888713i	0.0317848	−	0.999495i	$-0.489881\pi$
$719$	27.5014	−	23.8301i	1.02563	−	0.888713i	0.993845	+	0.110782i	$0.0353354\pi$
$720$	−0.965384	−	6.71439i	−0.0359777	−	0.250231i
$721$	−1.55867	−	9.92567i	−0.0580481	−	0.369651i
$722$	11.5399	−	7.41622i	0.429469	−	0.276003i
$723$	75.1643	+	10.8070i	2.79539	+	0.401917i
$724$	−8.64401	+	18.9277i	−0.321252	+	0.703444i
$725$	5.21749	−	11.4247i	0.193773	−	0.424303i
$726$	−28.1906	−	4.05320i	−1.04625	−	0.150428i
$727$	−19.4389	+	12.4926i	−0.720948	+	0.463325i	−0.848967	−	0.528446i	$-0.822775\pi$
$727$	−19.4389	+	12.4926i	−0.720948	+	0.463325i	0.128018	+	0.991772i	$0.459138\pi$
$728$	−6.00157	+	0.942455i	−0.222433	+	0.0349297i
$729$	−5.42949	−	37.7629i	−0.201092	−	1.39863i
$730$	−4.27825	+	3.70712i	−0.158345	+	0.137207i
$731$	−6.57078	+	10.2243i	−0.243029	+	0.378161i
$732$	7.52987	+	6.52467i	0.278312	+	0.241159i
$733$	36.4402	−	10.6998i	1.34595	−	0.395206i	0.472160	−	0.881513i	$-0.343474\pi$
$733$	36.4402	−	10.6998i	1.34595	−	0.395206i	0.873788	+	0.486307i	$0.161656\pi$
$734$	−12.6980	−	27.8048i	−0.468693	−	1.02630i
$735$	25.5115	+	20.9730i	0.941007	+	0.773602i
$736$	−4.72846	−	0.801054i	−0.174293	−	0.0295272i
$737$	0.271464			0.00999950
$738$	−28.6678	+	13.0921i	−1.05528	+	0.481929i
$739$	30.1266	−	8.84597i	1.10823	−	0.325404i	0.324110	−	0.946019i	$-0.394935\pi$
$739$	30.1266	−	8.84597i	1.10823	−	0.325404i	0.784115	+	0.620615i	$0.213117\pi$
$740$	−3.91384	−	3.39136i	−0.143876	−	0.124669i
$741$	−28.6634	−	18.4208i	−1.05298	−	0.676706i
$742$	−28.8068	−	12.7070i	−1.05753	−	0.466488i
$743$	42.1384	−	6.05859i	1.54591	−	0.222268i	0.684057	−	0.729428i	$-0.260214\pi$
$743$	42.1384	−	6.05859i	1.54591	−	0.222268i	0.861852	+	0.507160i	$0.169305\pi$
$744$	8.72542	+	2.56202i	0.319890	+	0.0939280i
$745$	5.37020	+	8.35619i	0.196749	+	0.306147i
$746$	−34.8329	−	5.00822i	−1.27532	−	0.183364i
$747$	24.7470	−	54.1884i	0.905446	−	1.98265i
$748$	−0.414653	−	0.189366i	−0.0151612	−	0.00692390i
$749$	−9.60585	−	31.2120i	−0.350990	−	1.14046i
$750$	17.0707	+	26.5626i	0.623335	+	0.969928i
$751$	11.2066	−	38.1663i	0.408936	−	1.39271i	−0.455621	−	0.890174i	$-0.650583\pi$
$751$	11.2066	−	38.1663i	0.408936	−	1.39271i	0.864557	−	0.502535i	$-0.167599\pi$
$752$	3.41635	−	0.491197i	0.124582	−	0.0179121i
$753$	−54.9864	+	47.6460i	−2.00382	+	1.73632i
$754$	9.21235	−	14.3347i	0.335494	−	0.522039i
$755$	9.61239	−	11.0933i	0.349831	−	0.403726i
$756$	3.74334	−	3.32955i	0.136144	−	0.121095i
$757$	−25.2666	+	11.5389i	−0.918330	+	0.419387i	−0.817771	−	0.575544i	$-0.804790\pi$
$757$	−25.2666	+	11.5389i	−0.918330	+	0.419387i	−0.100559	+	0.994931i	$0.532063\pi$
$758$			18.5238i			0.672816i
$759$	1.40825	−	1.15987i	0.0511164	−	0.0421006i
$760$	−10.4026			−0.377341
$761$	−28.8144	+	13.1591i	−1.04452	+	0.477016i	−0.862383	−	0.506257i	$-0.831029\pi$
$761$	−28.8144	+	13.1591i	−1.04452	+	0.477016i	−0.182137	+	0.983273i	$0.558302\pi$
$762$	−3.07645	−	10.4774i	−0.111448	−	0.379557i
$763$	7.50794	−	26.8526i	0.271806	−	0.972129i
$764$	2.46886	−	3.84163i	0.0893203	−	0.138985i
$765$	−13.8091	−	15.9365i	−0.499268	−	0.576185i
$766$	−2.46458	−	17.1416i	−0.0890490	−	0.619350i
$767$	5.90060	+	1.73257i	0.213058	+	0.0625596i
$768$	1.40253	+	2.18239i	0.0506096	+	0.0787501i
$769$	−3.70113	+	25.7419i	−0.133466	+	0.928278i	0.807522	+	0.589838i	$0.200808\pi$
$769$	−3.70113	+	25.7419i	−0.133466	+	0.928278i	−0.940988	+	0.338440i	$0.890101\pi$
$770$	−0.00914635	−	0.705534i	−0.000329612	−	0.0254257i
$771$	−8.86142	+	19.4038i	−0.319136	+	0.698811i
$772$	3.54281	−	24.6408i	0.127509	−	0.886842i
$773$	15.6557	−	10.0613i	0.563098	−	0.361881i	−0.227915	−	0.973681i	$-0.573191\pi$
$773$	15.6557	−	10.0613i	0.563098	−	0.361881i	0.791012	+	0.611800i	$0.209554\pi$
$774$	−4.10846	+	13.9921i	−0.147675	+	0.502936i
$775$	−5.87246	+	0.844333i	−0.210945	+	0.0303293i
$776$	8.09107	+	9.33760i	0.290453	+	0.335200i
$777$	2.53049	−	19.3801i	0.0907807	−	0.695258i
$778$	12.5307	+	10.8579i	0.449247	+	0.389275i
$779$	13.6162	+	46.3726i	0.487852	+	1.66147i
$780$	4.50033	+	9.85434i	0.161138	+	0.352842i
$781$			1.66316i			0.0595125i
$782$	−13.7118	+	5.85197i	−0.490332	+	0.209266i
$783$			14.0518i			0.502169i
$784$	−6.76532	−	1.79735i	−0.241618	−	0.0641912i
$785$	27.1948	−	7.98513i	0.970626	−	0.285001i
$786$	15.2090	−	17.5522i	0.542489	−	0.626065i
$787$	35.9694	+	23.1161i	1.28217	+	0.824001i	0.991154	−	0.132717i	$-0.0423701\pi$
$787$	35.9694	+	23.1161i	1.28217	+	0.824001i	0.291017	+	0.956718i	$0.406006\pi$
$788$	15.1008	+	17.4272i	0.537943	+	0.620820i
$789$	1.00012	+	6.95600i	0.0356053	+	0.247640i
$790$	−4.41496	+	15.0360i	−0.157077	+	0.534957i
$791$	−18.5898	+	29.7678i	−0.660977	+	1.05842i
$792$	−0.541389	−	0.0778400i	−0.0192374	−	0.00276592i
$793$	−8.02189	−	3.66347i	−0.284866	−	0.130094i
$794$	0.0424798	+	0.0193999i	0.00150755	+	0.000688477i
$795$	−7.99024	+	55.5734i	−0.283385	+	1.97098i
$796$	−12.8637	+	8.26702i	−0.455943	+	0.293017i
$797$	−20.8698	−	6.12792i	−0.739246	−	0.217062i	−0.109634	−	0.993972i	$-0.534968\pi$
$797$	−20.8698	−	6.12792i	−0.739246	−	0.217062i	−0.629612	+	0.776910i	$0.716786\pi$
$798$	−21.6516	−	32.7492i	−0.766457	−	1.15931i
$799$	8.10866	−	7.02619i	0.286864	−	0.248569i
$800$	−1.42380	−	0.915023i	−0.0503391	−	0.0323510i
$801$	4.10201	−	4.73397i	0.144937	−	0.167267i
$802$	−5.03406	−	17.1444i	−0.177759	−	0.605391i
$803$	0.189615	+	0.415199i	0.00669137	+	0.0146521i
$804$	−4.80245			−0.169369
$805$	−17.2564	−	15.3208i	−0.608208	−	0.539988i
$806$	−8.04907			−0.283516
$807$	8.56183	+	18.7478i	0.301391	+	0.659954i
$808$	−5.41428	−	18.4393i	−0.190474	−	0.648694i
$809$	18.9522	−	21.8720i	0.666323	−	0.768978i	−0.317473	−	0.948267i	$-0.602834\pi$
$809$	18.9522	−	21.8720i	0.666323	−	0.768978i	0.983796	+	0.179289i	$0.0573798\pi$
$810$	9.60427	+	6.17229i	0.337460	+	0.216872i
$811$	16.1052	−	13.9553i	0.565531	−	0.490035i	−0.324531	−	0.945875i	$-0.605206\pi$
$811$	16.1052	−	13.9553i	0.565531	−	0.490035i	0.890062	+	0.455840i	$0.150661\pi$
$812$	16.3780	−	10.8281i	0.574757	−	0.379990i
$813$	67.9521	+	19.9525i	2.38318	+	0.699766i
$814$	−0.351281	+	0.225755i	−0.0123124	+	0.00791269i
$815$	−5.32995	+	37.0707i	−0.186700	+	1.29853i
$816$	7.33560	+	3.35006i	0.256797	+	0.117275i
$817$	20.3422	+	9.28998i	0.711684	+	0.325015i
$818$	28.0216	+	4.02890i	0.979752	+	0.140867i
$819$	−12.0026	+	19.2197i	−0.419405	+	0.671591i
$820$	4.32931	−	14.7443i	0.151186	−	0.514892i
$821$	6.57166	+	45.7069i	0.229353	+	1.59518i	0.700846	+	0.713313i	$0.252806\pi$
$821$	6.57166	+	45.7069i	0.229353	+	1.59518i	−0.471494	+	0.881870i	$0.656285\pi$
$822$	−24.5389	−	28.3193i	−0.855891	−	0.987751i
$823$	13.0305	+	8.37419i	0.454215	+	0.291906i	0.747675	−	0.664065i	$-0.231170\pi$
$823$	13.0305	+	8.37419i	0.454215	+	0.291906i	−0.293460	+	0.955971i	$0.594807\pi$
$824$	2.48685	−	2.86998i	0.0866335	−	0.0999804i
$825$	0.617766	−	0.181392i	0.0215078	−	0.00631527i
$826$	5.41490	+	4.57050i	0.188409	+	0.159028i
$827$			2.73494i			0.0951031i	0.998869	+	0.0475516i	$0.0151418\pi$
$827$			2.73494i			0.0951031i	−0.998869	+	0.0475516i	$0.984858\pi$
$828$	−13.8077	+	11.3723i	−0.479850	+	0.395215i
$829$			10.8506i			0.376857i	0.982087	+	0.188428i	$0.0603393\pi$
$829$			10.8506i			0.376857i	−0.982087	+	0.188428i	$0.939661\pi$
$830$	12.0663	+	26.4216i	0.418829	+	0.917107i
$831$	−8.68499	−	29.5783i	−0.301279	−	1.02606i
$832$	−1.73534	−	1.50368i	−0.0601620	−	0.0521306i
$833$	−20.7128	+	6.66975i	−0.717657	+	0.231093i
$834$	−22.7873	−	26.2979i	−0.789059	−	0.910623i
$835$	−10.5133	+	1.51158i	−0.363827	+	0.0523104i
$836$	−0.236309	+	0.804796i	−0.00817293	+	0.0278344i
$837$	5.58396	−	3.58859i	0.193010	−	0.124040i
$838$	−0.324968	+	2.26020i	−0.0112258	+	0.0780774i
$839$	6.75770	−	14.7973i	0.233302	−	0.510859i	−0.756382	−	0.654130i	$-0.773035\pi$
$839$	6.75770	−	14.7973i	0.233302	−	0.510859i	0.989683	+	0.143271i	$0.0457621\pi$
$840$	0.161808	+	12.4815i	0.00558289	+	0.430654i
$841$	−3.71009	+	25.8042i	−0.127934	+	0.889802i
$842$	−10.9931	−	17.1055i	−0.378846	−	0.589495i
$843$	−18.5034	−	5.43308i	−0.637290	−	0.187125i
$844$	−2.82559	−	19.6524i	−0.0972607	−	0.676463i
$845$	9.20328	+	10.6212i	0.316602	+	0.365379i
$846$	6.96007	−	10.8301i	0.239292	−	0.372346i
$847$	27.9735	+	7.82135i	0.961182	+	0.268745i
$848$	−3.35267	−	11.4181i	−0.115131	−	0.392101i
$849$	−33.0243	+	15.0817i	−1.13339	+	0.517603i
$850$	−5.26125			−0.180459
$851$	−2.28105	+	13.4646i	−0.0781935	+	0.461560i
$852$		−	29.4228i		−	1.00801i
$853$	−31.6927	+	14.4736i	−1.08514	+	0.495565i	−0.875995	−	0.482320i	$-0.839794\pi$
$853$	−31.6927	+	14.4736i	−1.08514	+	0.495565i	−0.209141	+	0.977885i	$0.567067\pi$
$854$	−6.75330	−	7.59258i	−0.231093	−	0.259813i
$855$	−25.4091	+	29.3236i	−0.868971	+	1.00285i
$856$	6.67317	−	10.3837i	0.228084	−	0.354906i
$857$	24.5738	−	21.2933i	0.839424	−	0.727365i	−0.124878	−	0.992172i	$-0.539854\pi$
$857$	24.5738	−	21.2933i	0.839424	−	0.727365i	0.964301	+	0.264807i	$0.0853084\pi$
$858$	0.864612	−	0.124312i	0.0295174	−	0.00424396i
$859$	−7.85671	+	26.7575i	−0.268067	+	0.912954i	0.709919	+	0.704284i	$0.248732\pi$
$859$	−7.85671	+	26.7575i	−0.268067	+	0.912954i	−0.977986	+	0.208670i	$0.933086\pi$
$860$	−3.84417	−	5.98165i	−0.131085	−	0.203973i
$861$	55.4285	−	17.0588i	1.88900	−	0.581361i
$862$	−0.699428	−	0.319418i	−0.0238226	−	0.0108794i
$863$	1.42010	−	3.10958i	0.0483407	−	0.105851i	−0.883921	−	0.467637i	$-0.845105\pi$
$863$	1.42010	−	3.10958i	0.0483407	−	0.105851i	0.932261	+	0.361786i	$0.117833\pi$
$864$	1.87427	+	0.269479i	0.0637639	+	0.00916787i
$865$	−1.86107	−	2.89589i	−0.0632784	−	0.0984632i
$866$	21.1555	+	6.21181i	0.718892	+	0.211086i
$867$	−18.8389	+	2.70863i	−0.639803	+	0.0919897i
$868$	−8.48559	−	3.74307i	−0.288020	−	0.127048i
$869$	1.06297	+	0.683128i	0.0360587	+	0.0231735i
$870$	−26.4600	−	22.9277i	−0.897078	−	0.777322i
$871$	4.07855	−	1.19757i	0.138196	−	0.0405781i
$872$	9.58622	−	4.37788i	0.324631	−	0.148254i
$873$	46.0846			1.55973
$874$	14.2488	+	23.4408i	0.481973	+	0.792898i
$875$	−13.7559	−	29.1164i	−0.465035	−	0.984314i
$876$	−3.35447	−	7.34526i	−0.113337	−	0.248173i
$877$	−49.4898	+	14.5315i	−1.67115	+	0.490694i	−0.974060	−	0.226289i	$-0.927341\pi$
$877$	−49.4898	+	14.5315i	−1.67115	+	0.490694i	−0.697090	+	0.716983i	$0.745522\pi$
$878$	15.1984	+	13.1695i	0.512921	+	0.444449i
$879$	22.4513	−	34.9348i	0.757262	−	1.17832i
$880$	0.201550	−	0.174644i	0.00679426	−	0.00588726i
$881$	5.48641	+	38.1589i	0.184842	+	1.28560i	0.845117	+	0.534581i	$0.179530\pi$
$881$	5.48641	+	38.1589i	0.184842	+	1.28560i	−0.660275	+	0.751024i	$0.729560\pi$
$882$	−21.5913	+	14.6804i	−0.727017	+	0.494316i
$883$	−26.4561	+	17.0023i	−0.890318	+	0.572172i	−0.903904	−	0.427735i	$-0.859312\pi$
$883$	−26.4561	+	17.0023i	−0.890318	+	0.572172i	0.0135864	+	0.999908i	$0.495675\pi$
$884$	−7.06526	−	1.01583i	−0.237630	−	0.0341661i
$885$	5.24913	−	11.4940i	0.176447	−	0.386366i
$886$	−5.98702	+	13.1097i	−0.201138	+	0.440430i
$887$	32.4238	+	4.66184i	1.08869	+	0.156529i	0.663205	−	0.748438i	$-0.269196\pi$
$887$	32.4238	+	4.66184i	1.08869	+	0.156529i	0.425481	+	0.904967i	$0.360105\pi$
$888$	6.21449	−	3.99381i	0.208545	−	0.134023i
$889$	1.72768	+	11.0019i	0.0579445	+	0.368991i
$890$	0.434661	+	3.02313i	0.0145699	+	0.101336i
$891$	0.695694	−	0.602822i	0.0233066	−	0.0201953i
$892$	−5.04843	+	7.85551i	−0.169034	+	0.263022i
$893$	−14.9202	−	12.9284i	−0.499284	−	0.432632i
$894$	−13.5949	+	3.99183i	−0.454682	+	0.133507i
$895$	−13.1234	−	28.7362i	−0.438666	−	0.960545i
$896$	−1.13019	−	2.39221i	−0.0377570	−	0.0799182i
$897$	16.0412	−	23.6387i	0.535600	−	0.789275i
$898$	−21.5223			−0.718207
$899$	23.6626	−	10.8063i	0.789190	−	0.360411i
$900$	−6.05709	+	1.77852i	−0.201903	+	0.0592840i
$901$	−27.9574	−	24.2252i	−0.931396	−	0.807060i
$902$	−1.04234	−	0.669874i	−0.0347063	−	0.0223044i
$903$	10.8302	−	24.5521i	0.360406	−	0.817044i
$904$	−13.1299	+	1.88779i	−0.436693	+	0.0627870i
$905$	−36.3100	−	10.6616i	−1.20698	−	0.354403i
$906$	11.3199	+	17.6142i	0.376080	+	0.585192i
$907$	−23.9326	−	3.44098i	−0.794668	−	0.114256i	−0.266989	−	0.963700i	$-0.586029\pi$
$907$	−23.9326	−	3.44098i	−0.794668	−	0.114256i	−0.527679	+	0.849444i	$0.676938\pi$
$908$	−0.0759363	+	0.166277i	−0.00252003	+	0.00551811i
$909$	−65.2031	−	29.7772i	−2.16265	−	0.987649i
$910$	−3.24990	−	10.5598i	−0.107733	−	0.350054i
$911$	−14.9153	−	23.2087i	−0.494167	−	0.768939i	0.501175	−	0.865346i	$-0.332901\pi$
$911$	−14.9153	−	23.2087i	−0.494167	−	0.768939i	−0.995342	+	0.0964071i	$0.969265\pi$
$912$	4.18053	−	14.2376i	0.138431	−	0.471454i
$913$	2.31821	−	0.333308i	0.0767216	−	0.0110309i
$914$	16.2745	−	14.1019i	0.538311	−	0.466449i
$915$	−9.79648	+	15.2436i	−0.323862	+	0.503938i
$916$	−2.40151	+	2.77149i	−0.0793481	+	0.0915725i
$917$	−17.6983	+	15.7420i	−0.584451	+	0.519846i
$918$	5.35434	−	2.44525i	0.176720	−	0.0807051i
$919$		−	29.1982i		−	0.963160i	−0.876402	−	0.481580i	$-0.840063\pi$
$919$		−	29.1982i		−	0.963160i	0.876402	−	0.481580i	$-0.159937\pi$
$920$	0.218186	−	8.71925i	0.00719338	−	0.287465i
$921$	−40.3347			−1.32907
$922$	34.3754	−	15.6987i	1.13209	−	0.517009i
$923$	7.33706	+	24.9877i	0.241502	+	0.822482i
$924$	0.969311	+	0.271018i	0.0318880	+	0.00891583i
$925$	−2.60559	+	4.05438i	−0.0856712	+	0.133307i
$926$	−4.70292	−	5.42746i	−0.154547	−	0.178357i
$927$	−2.01581	−	14.0203i	−0.0662078	−	0.460486i
$928$	7.12029	+	2.09071i	0.233735	+	0.0686308i
$929$	15.8389	+	24.6458i	0.519657	+	0.808603i	0.997560	−	0.0698100i	$-0.0222393\pi$
$929$	15.8389	+	24.6458i	0.519657	+	0.808603i	−0.477903	+	0.878413i	$0.658603\pi$
$930$	−2.35367	+	16.3702i	−0.0771800	+	0.536799i
$931$	17.5715	+	35.9777i	0.575884	+	1.17912i
$932$	−5.41861	+	11.8651i	−0.177493	+	0.388654i
$933$	2.94100	−	20.4551i	0.0962842	−	0.669671i
$934$	1.84102	−	1.18315i	0.0602399	−	0.0387138i
$935$	0.233565	−	0.795449i	0.00763839	−	0.0260140i
$936$	−8.47737	+	1.21886i	−0.277092	+	0.0398398i
$937$	22.8125	+	26.3270i	0.745250	+	0.860065i	0.994099	−	0.108478i	$-0.0345976\pi$
$937$	22.8125	+	26.3270i	0.745250	+	0.860065i	−0.248849	+	0.968542i	$0.580052\pi$
$938$	4.85664	+	0.634137i	0.158575	+	0.0207053i
$939$	−39.3161	−	34.0676i	−1.28303	−	1.11175i
$940$	1.76846	+	6.02281i	0.0576807	+	0.196442i
$941$	−0.299745	−	0.656350i	−0.00977141	−	0.0213964i	0.904683	−	0.426084i	$-0.140107\pi$
$941$	−0.299745	−	0.656350i	−0.00977141	−	0.0213964i	−0.914455	+	0.404688i	$0.867380\pi$
$942$			40.4295i			1.31726i
$943$	−39.1543	+	10.4402i	−1.27504	+	0.339981i
$944$			2.67824i			0.0871691i
$945$	6.96255	+	5.87680i	0.226492	+	0.191172i
$946$	−0.550096	+	0.161523i	−0.0178852	+	0.00525156i
$947$	−19.8774	+	22.9398i	−0.645930	+	0.745443i	−0.980412	−	0.196959i	$-0.936893\pi$
$947$	−19.8774	+	22.9398i	−0.645930	+	0.745443i	0.334481	+	0.942402i	$0.391439\pi$
$948$	−18.8049	−	12.0852i	−0.610754	−	0.392508i
$949$	4.68049	+	5.40157i	0.151935	+	0.175343i
$950$	1.37773	+	9.58231i	0.0446994	+	0.310891i
$951$	4.91013	−	16.7224i	0.159222	−	0.542260i
$952$	−6.97602	−	4.35649i	−0.226094	−	0.141195i
$953$	18.2064	+	2.61768i	0.589762	+	0.0847950i	0.430734	−	0.902479i	$-0.358255\pi$
$953$	18.2064	+	2.61768i	0.589762	+	0.0847950i	0.159028	+	0.987274i	$0.449164\pi$
$954$	−40.3755	−	18.4389i	−1.30721	−	0.596981i
$955$	7.55449	+	3.45002i	0.244458	+	0.111640i
$956$	0.995815	−	6.92605i	0.0322070	−	0.224004i
$957$	−2.37488	+	1.52624i	−0.0767689	+	0.0493364i
$958$	2.92490	+	0.858828i	0.0944992	+	0.0277475i
$959$	21.0763	+	31.8791i	0.680591	+	1.02943i
$960$	−3.56561	+	3.08962i	−0.115080	+	0.0997170i
$961$	15.7416	+	10.1165i	0.507792	+	0.326338i
$962$	−4.28182	+	4.94148i	−0.138051	+	0.159320i
$963$	−12.9706	−	44.1737i	−0.417971	−	1.42348i
$964$	−12.1600	−	26.6266i	−0.391646	−	0.857585i
$965$	45.2740			1.45742
$966$	27.9039	−	17.4611i	0.897793	−	0.561800i
$967$	10.1833			0.327473			0.163736	−	0.986504i	$-0.447645\pi$
$967$	10.1833			0.327473			0.163736	+	0.986504i	$0.447645\pi$
$968$	4.56063	+	9.98639i	0.146584	+	0.320975i
$969$	−12.9956	−	44.2590i	−0.417479	−	1.42180i
$970$	−14.7149	+	16.9819i	−0.472467	+	0.545256i
$971$	−14.5800	−	9.37001i	−0.467895	−	0.300698i	0.285367	−	0.958418i	$-0.407885\pi$
$971$	−14.5800	−	9.37001i	−0.467895	−	0.300698i	−0.753262	+	0.657720i	$0.771521\pi$
$972$	−16.6006	+	14.3845i	−0.532465	+	0.461383i
$973$	19.5719	+	29.6036i	0.627447	+	0.949049i
$974$	5.60776	+	1.64659i	0.179684	+	0.0527601i
$975$	8.48127	−	5.45058i	0.271618	−	0.174558i
$976$	0.546582	−	3.80156i	0.0174957	−	0.121685i
$977$	−2.04839	−	0.935468i	−0.0655338	−	0.0299283i	0.382379	−	0.924006i	$-0.375105\pi$
$977$	−2.04839	−	0.935468i	−0.0655338	−	0.0299283i	−0.447912	+	0.894078i	$0.647832\pi$
$978$	−48.5951	−	22.1926i	−1.55390	−	0.709642i
$979$	0.243758	+	0.0350472i	0.00779056	+	0.00112011i
$980$	1.48449	−	12.6438i	0.0474202	−	0.403890i
$981$	11.0743	−	37.7157i	0.353576	−	1.20417i
$982$	−3.57316	−	24.8519i	−0.114024	−	0.793056i
$983$	−34.0280	−	39.2704i	−1.08532	−	1.25253i	−0.965686	−	0.259713i	$-0.916372\pi$
$983$	−34.0280	−	39.2704i	−1.08532	−	1.25253i	−0.119638	−	0.992818i	$-0.538173\pi$
$984$	18.4400	+	11.8507i	0.587847	+	0.377786i
$985$	−27.4632	+	31.6942i	−0.875050	+	1.00986i
$986$	22.1342	−	6.49918i	0.704895	−	0.206976i
$987$	−15.2801	+	18.1031i	−0.486370	+	0.576227i
$988$			13.1340i			0.417847i
$989$	−8.21336	+	16.8556i	−0.261170	+	0.535978i
$990$		−	0.994727i		−	0.0316145i
$991$	10.3860	+	22.7421i	0.329921	+	0.722425i	0.999799	−	0.0200454i	$-0.00638107\pi$
$991$	10.3860	+	22.7421i	0.329921	+	0.722425i	−0.669878	+	0.742471i	$0.733654\pi$
$992$	−0.987591	−	3.36343i	−0.0313560	−	0.106789i
$993$	−32.5476	−	28.2027i	−1.03287	−	0.894984i
$994$	−3.88512	+	29.7548i	−0.123229	+	0.943766i
$995$	−18.2113	−	21.0169i	−0.577337	−	0.666282i
$996$	−41.0113	+	5.89653i	−1.29949	+	0.186839i
$997$	0.841188	−	2.86482i	0.0266407	−	0.0907298i	−0.945100	−	0.326782i	$-0.894036\pi$
$997$	0.841188	−	2.86482i	0.0266407	−	0.0907298i	0.971740	+	0.236053i	$0.0758538\pi$
$998$	−5.16873	+	3.32174i	−0.163613	+	0.105148i
$999$	0.767360	−	5.33710i	0.0242782	−	0.168858i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	322.2.k.a.111.2	✓	80
7.6	odd	2	inner	322.2.k.a.111.7	yes	80
23.17	odd	22	inner	322.2.k.a.293.7	yes	80
161.132	even	22	inner	322.2.k.a.293.2	yes	80

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
322.2.k.a.111.2	✓	80	1.1	even	1	trivial
322.2.k.a.111.7	yes	80	7.6	odd	2	inner
322.2.k.a.293.2	yes	80	161.132	even	22	inner
322.2.k.a.293.7	yes	80	23.17	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:	\( N \)	\(=\)	\( 322 = 2 \cdot 7 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	322.k (of order \(22\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(0.415415 + 0.909632i) q^{2} +(-0.730873 - 2.48912i) q^{3} +(-0.654861 + 0.755750i) q^{4} +(-1.52995 - 0.983241i) q^{5} +(1.96057 - 1.69884i) q^{6} +(-2.20702 + 1.45913i) q^{7} +(-0.959493 - 0.281733i) q^{8} +(-3.13780 + 2.01654i) q^{9} +O(q^{10})\)	\(q+(0.415415 + 0.909632i) q^{2} +(-0.730873 - 2.48912i) q^{3} +(-0.654861 + 0.755750i) q^{4} +(-1.52995 - 0.983241i) q^{5} +(1.96057 - 1.69884i) q^{6} +(-2.20702 + 1.45913i) q^{7} +(-0.959493 - 0.281733i) q^{8} +(-3.13780 + 2.01654i) q^{9} +(0.258822 - 1.80015i) q^{10} +(-0.133389 - 0.0609167i) q^{11} +(2.35977 + 1.07767i) q^{12} +(-2.27281 - 0.326780i) q^{13} +(-2.24410 - 1.40143i) q^{14} +(-1.32921 + 4.52687i) q^{15} +(-0.142315 - 0.989821i) q^{16} +(-2.03570 - 2.34933i) q^{17} +(-3.13780 - 2.01654i) q^{18} +(-3.74575 + 4.32283i) q^{19} +(1.74499 - 0.512375i) q^{20} +(5.24501 + 4.42710i) q^{21} -0.146641i q^{22} +(-3.54475 - 3.23029i) q^{23} +2.59421i q^{24} +(-0.703081 - 1.53953i) q^{25} +(-0.646909 - 2.20317i) q^{26} +(1.43104 + 1.24001i) q^{27} +(0.342551 - 2.62348i) q^{28} +(4.85965 + 5.60833i) q^{29} +(-4.66996 + 0.671438i) q^{30} +(0.987591 - 3.36343i) q^{31} +(0.841254 - 0.540641i) q^{32} +(-0.0541388 + 0.376544i) q^{33} +(1.29136 - 2.82768i) q^{34} +(4.81132 - 0.0623726i) q^{35} +(0.530822 - 3.69195i) q^{36} +(-1.53951 - 2.39552i) q^{37} +(-5.48822 - 1.61149i) q^{38} +(0.847736 + 5.89613i) q^{39} +(1.19097 + 1.37445i) q^{40} +(4.56813 - 7.10816i) q^{41} +(-1.84818 + 6.61012i) q^{42} +(-1.10149 - 3.75133i) q^{43} +(0.133389 - 0.0609167i) q^{44} +6.78344 q^{45} +(1.46583 - 4.56633i) q^{46} +3.45148i q^{47} +(-2.35977 + 1.07767i) q^{48} +(2.74186 - 6.44067i) q^{49} +(1.10834 - 1.27909i) q^{50} +(-4.35992 + 6.78417i) q^{51} +(1.73534 - 1.50368i) q^{52} +(11.7791 - 1.69357i) q^{53} +(-0.533473 + 1.81684i) q^{54} +(0.144183 + 0.224353i) q^{55} +(2.52870 - 0.778238i) q^{56} +(13.4977 + 6.16420i) q^{57} +(-3.08275 + 6.75028i) q^{58} +(-2.65098 - 0.381153i) q^{59} +(-2.55073 - 3.96902i) q^{60} +(3.68508 + 1.08204i) q^{61} +(3.46974 - 0.498873i) q^{62} +(3.98278 - 9.02902i) q^{63} +(0.841254 + 0.540641i) q^{64} +(3.15599 + 2.73468i) q^{65} +(-0.365006 + 0.107176i) q^{66} +(-1.68393 + 0.769024i) q^{67} +3.10860 q^{68} +(-5.44982 + 11.1842i) q^{69} +(2.05543 + 4.35062i) q^{70} +(-4.71153 - 10.3168i) q^{71} +(3.57882 - 1.05084i) q^{72} +(-2.35242 - 2.03838i) q^{73} +(1.53951 - 2.39552i) q^{74} +(-3.31823 + 2.87526i) q^{75} +(-0.814029 - 5.66170i) q^{76} +(0.383277 - 0.0601879i) q^{77} +(-5.01115 + 3.22047i) q^{78} +(-8.52895 - 1.22628i) q^{79} +(-0.755498 + 1.65431i) q^{80} +(-2.60776 + 5.71021i) q^{81} +(8.36348 + 1.20249i) q^{82} +(-13.4360 + 8.63477i) q^{83} +(-6.78053 + 1.06478i) q^{84} +(0.804575 + 5.59594i) q^{85} +(2.95475 - 2.56031i) q^{86} +(10.4081 - 16.1952i) q^{87} +(0.110824 + 0.0960291i) q^{88} +(-1.61135 + 0.473136i) q^{89} +(2.81794 + 6.17043i) q^{90} +(5.49295 - 2.59512i) q^{91} +(4.76260 - 0.563555i) q^{92} -9.09379 q^{93} +(-3.13958 + 1.43380i) q^{94} +(9.98120 - 2.93075i) q^{95} +(-1.96057 - 1.69884i) q^{96} +(-10.3940 - 6.67984i) q^{97} +(6.99765 - 0.181462i) q^{98} +(0.541389 - 0.0778400i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 80 q - 8 q^{2} - 8 q^{4} - 11 q^{7} - 8 q^{8} - 6 q^{9}+O(q^{10}) \) 80 * q - 8 * q^2 - 8 * q^4 - 11 * q^7 - 8 * q^8 - 6 * q^9	\( 80 q - 8 q^{2} - 8 q^{4} - 11 q^{7} - 8 q^{8} - 6 q^{9} + 11 q^{14} - 8 q^{16} - 6 q^{18} - 33 q^{21} + 18 q^{23} - 58 q^{25} - 11 q^{28} + 16 q^{29} + 22 q^{30} - 8 q^{32} + 47 q^{35} + 16 q^{36} - 22 q^{37} - 30 q^{39} - 22 q^{42} + 44 q^{43} - 4 q^{46} + 17 q^{49} + 8 q^{50} - 88 q^{51} + 44 q^{53} + 11 q^{56} - 22 q^{57} - 28 q^{58} + 121 q^{63} - 8 q^{64} - 154 q^{65} + 58 q^{70} + 42 q^{71} - 28 q^{72} + 22 q^{74} + 38 q^{77} + 58 q^{78} - 88 q^{79} - 26 q^{81} - 11 q^{84} + 26 q^{85} - 132 q^{86} + 22 q^{88} - 4 q^{92} + 152 q^{93} - 68 q^{95} - 27 q^{98} - 44 q^{99}+O(q^{100}) \) 80 * q - 8 * q^2 - 8 * q^4 - 11 * q^7 - 8 * q^8 - 6 * q^9 + 11 * q^14 - 8 * q^16 - 6 * q^18 - 33 * q^21 + 18 * q^23 - 58 * q^25 - 11 * q^28 + 16 * q^29 + 22 * q^30 - 8 * q^32 + 47 * q^35 + 16 * q^36 - 22 * q^37 - 30 * q^39 - 22 * q^42 + 44 * q^43 - 4 * q^46 + 17 * q^49 + 8 * q^50 - 88 * q^51 + 44 * q^53 + 11 * q^56 - 22 * q^57 - 28 * q^58 + 121 * q^63 - 8 * q^64 - 154 * q^65 + 58 * q^70 + 42 * q^71 - 28 * q^72 + 22 * q^74 + 38 * q^77 + 58 * q^78 - 88 * q^79 - 26 * q^81 - 11 * q^84 + 26 * q^85 - 132 * q^86 + 22 * q^88 - 4 * q^92 + 152 * q^93 - 68 * q^95 - 27 * q^98 - 44 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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