LMFDB - Embedded newform 322.2.k.a.293.2

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			293.2
Character	$\chi$	$=$	322.293
Dual form			322.2.k.a.111.2

$q$-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 $\left(\mathbb{Z}/322\mathbb{Z}\right)^\times$.

$n$	$185$	$281$
$\chi(n)$	$-1$	$e\left(\frac{7}{22}\right)$

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	0.424873	+	0.905253i	$0.360319\pi$
$3$	−0.730873	+	2.48912i	−0.421970	+	1.43710i	−0.846843	+	0.531843i	$0.821500\pi$
$4$	−0.654861	−	0.755750i	−0.327430	−	0.377875i
$5$	−1.52995	+	0.983241i	−0.684216	+	0.439719i	−0.836025	−	0.548691i	$-0.815126\pi$
$5$	−1.52995	+	0.983241i	−0.684216	+	0.439719i	0.151809	+	0.988410i	$0.451490\pi$
$6$	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	−0.435423	−	0.900226i	$-0.643401\pi$
$11$	−0.133389	+	0.0609167i	−0.0402183	+	0.0183671i	0.395204	+	0.918593i	$0.370674\pi$
$12$	2.35977	−	1.07767i	0.681208	−	0.311097i
$13$	−2.27281	+	0.326780i	−0.630363	+	0.0906326i	−0.450089	−	0.892984i	$-0.648608\pi$
$13$	−2.27281	+	0.326780i	−0.630363	+	0.0906326i	−0.180275	+	0.983616i	$0.557699\pi$
$14$	−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	−0.946859	−	0.321650i	$-0.895762\pi$
$17$	−2.03570	+	2.34933i	−0.493730	+	0.569795i	0.453128	+	0.891445i	$0.350308\pi$
$18$	−3.13780	+	2.01654i	−0.739587	+	0.475304i
$19$	−3.74575	−	4.32283i	−0.859334	−	0.991724i	−0.999999	−	0.00166691i	$-0.999469\pi$
$19$	−3.74575	−	4.32283i	−0.859334	−	0.991724i	0.140665	−	0.990057i	$-0.455076\pi$
$20$	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	−0.0965222	−	0.995331i	$-0.530772\pi$
$29$	4.85965	−	5.60833i	0.902414	−	1.04144i	0.998936	−	0.0461106i	$-0.0146827\pi$
$30$	−4.66996	−	0.671438i	−0.852613	−	0.122587i
$31$	0.987591	+	3.36343i	0.177377	+	0.604089i	0.999400	+	0.0346354i	$0.0110270\pi$
$31$	0.987591	+	3.36343i	0.177377	+	0.604089i	−0.822023	+	0.569454i	$0.807155\pi$
$32$	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	−0.944431	−	0.328711i	$-0.893386\pi$
$37$	−1.53951	+	2.39552i	−0.253094	+	0.393822i	0.691337	+	0.722533i	$0.257022\pi$
$38$	−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	0.988869	+	0.148791i	$0.0475381\pi$
$41$	4.56813	+	7.10816i	0.713423	+	1.11011i	−0.275446	+	0.961317i	$0.588826\pi$
$42$	−1.84818	−	6.61012i	−0.285180	−	1.01996i
$43$	−1.10149	+	3.75133i	−0.167975	+	0.572072i	0.831878	+	0.554958i	$0.187266\pi$
$43$	−1.10149	+	3.75133i	−0.167975	+	0.572072i	−0.999854	+	0.0171134i	$0.994552\pi$
$44$	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	$-0.919002\pi$
$47$		−	3.45148i		−	0.503451i	0.967799	−	0.251725i	$-0.0809980\pi$
$48$	−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	0.890991	−	0.454021i	$-0.150011\pi$
$53$	11.7791	+	1.69357i	1.61798	+	0.232630i	0.726987	+	0.686651i	$0.240920\pi$
$54$	−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	−0.312699	−	0.949852i	$-0.601233\pi$
$59$	−2.65098	+	0.381153i	−0.345128	+	0.0496219i	−0.0324284	+	0.999474i	$0.510324\pi$
$60$	−2.55073	+	3.96902i	−0.329298	+	0.512398i
$61$	3.68508	−	1.08204i	0.471826	−	0.138541i	−0.0371709	−	0.999309i	$-0.511835\pi$
$61$	3.68508	−	1.08204i	0.471826	−	0.138541i	0.508997	+	0.860768i	$0.330016\pi$
$62$	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	0.309888	−	0.950773i	$-0.399708\pi$
$67$	−1.68393	−	0.769024i	−0.205725	−	0.0939513i	−0.515613	+	0.856822i	$0.672436\pi$
$68$	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	0.393218	+	0.919445i	$0.371362\pi$
$71$	−4.71153	+	10.3168i	−0.559155	+	1.22438i	−0.952373	+	0.304934i	$0.901366\pi$
$72$	3.57882	+	1.05084i	0.421768	+	0.123842i
$73$	−2.35242	+	2.03838i	−0.275330	+	0.238575i	−0.781569	−	0.623818i	$-0.785581\pi$
$73$	−2.35242	+	2.03838i	−0.275330	+	0.238575i	0.506240	+	0.862393i	$0.331035\pi$
$74$	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	−0.604269	−	0.796780i	$-0.706535\pi$
$79$	−8.52895	+	1.22628i	−0.959582	+	0.137967i	−0.355313	+	0.934747i	$0.615626\pi$
$80$	−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	−0.997618	−	0.0689784i	$-0.978026\pi$
$83$	−13.4360	−	8.63477i	−1.47479	−	0.947789i	−0.477171	−	0.878811i	$-0.658338\pi$
$84$	−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	0.195213	−	0.980761i	$-0.437460\pi$
$89$	−1.61135	−	0.473136i	−0.170803	−	0.0501523i	−0.366016	+	0.930609i	$0.619278\pi$
$90$	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	−0.948737	−	0.316065i	$-0.897638\pi$
$97$	−10.3940	+	6.67984i	−1.05535	+	0.678235i	−0.106617	+	0.994300i	$0.534002\pi$
$98$	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	0.270455	−	0.962733i	$-0.412826\pi$
$101$	10.3899	−	16.1670i	1.03384	−	1.60868i	0.763381	−	0.645948i	$-0.223538\pi$
$102$	−7.98228	+	1.14768i	−0.790363	+	0.113637i
$103$	−1.57755	−	3.45435i	−0.155440	−	0.340367i	0.815850	−	0.578263i	$-0.196269\pi$
$103$	−1.57755	−	3.45435i	−0.155440	−	0.340367i	−0.971291	+	0.237896i	$0.923542\pi$
$104$	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	−0.938101	−	0.346361i	$-0.887417\pi$
$107$	−3.47745	−	11.8431i	−0.336177	−	1.14491i	0.601924	−	0.798554i	$-0.294401\pi$
$108$	−1.87427	−	0.269479i	−0.180352	−	0.0259306i
$109$	−7.96452	−	6.90130i	−0.762863	−	0.661025i	0.183904	−	0.982944i	$-0.441126\pi$
$109$	−7.96452	−	6.90130i	−0.762863	−	0.661025i	−0.946767	+	0.321920i	$0.895672\pi$
$110$	−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	0.892184	−	0.451672i	$-0.149172\pi$
$113$	12.0662	+	5.51043i	1.13509	+	0.518378i	0.242906	+	0.970050i	$0.421900\pi$
$114$		−	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	0.971210	−	0.238226i	$-0.0765660\pi$
$127$	1.74860	+	3.82890i	0.155163	+	0.339760i	−0.816047	+	0.577986i	$0.803839\pi$
$128$	−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	0.518094	−	0.855324i	$-0.326642\pi$
$131$	8.86146	+	1.27409i	0.774229	+	0.111317i	0.256135	+	0.966641i	$0.417551\pi$
$132$	−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	$0.211667\pi$
$137$			14.4444i			1.23407i	−0.786935	+	0.617036i	$0.788333\pi$
$138$	−12.4375	+	0.311229i	−1.05875	+	0.0264936i
$139$			13.4134i			1.13771i	0.822438	+	0.568855i	$0.192613\pi$
$139$			13.4134i			1.13771i	−0.822438	+	0.568855i	$0.807387\pi$
$140$	−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	−0.608390	−	0.793639i	$-0.708184\pi$
$149$	−4.96816	+	2.26888i	−0.407008	+	0.185874i	0.201382	+	0.979513i	$0.435457\pi$
$150$	−3.99387	+	1.82394i	−0.326098	+	0.148924i
$151$	−1.14863	−	7.98892i	−0.0934744	−	0.650129i	−0.981659	−	0.190643i	$-0.938943\pi$
$151$	−1.14863	−	7.98892i	−0.0934744	−	0.650129i	0.888185	−	0.459486i	$-0.151966\pi$
$152$	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	0.184579	−	0.982818i	$-0.440908\pi$
$157$	−10.2057	−	11.7780i	−0.814503	−	0.939987i	−0.999082	+	0.0428311i	$0.986362\pi$
$158$	−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	0.202792	+	0.979222i	$0.434998\pi$
$163$	−8.55469	+	18.7322i	−0.670055	+	1.46722i	−0.872847	+	0.487994i	$0.837729\pi$
$164$	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	0.808696	−	0.588227i	$-0.200174\pi$
$167$	4.41375	+	3.82453i	0.341546	+	0.295951i	−0.467150	+	0.884178i	$0.654719\pi$
$168$	−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	−0.348887	−	0.937165i	$-0.613440\pi$
$173$	1.72175	−	0.786296i	0.130902	−	0.0597810i	0.479789	+	0.877384i	$0.340713\pi$
$174$	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	0.134876	−	0.990862i	$-0.456936\pi$
$179$	14.6130	−	9.39120i	1.09223	−	0.701931i	0.957350	+	0.288931i	$0.0932999\pi$
$180$	−4.44221	−	5.12658i	−0.331103	−	0.382113i
$181$	19.9652	+	5.86233i	1.48401	+	0.435743i	0.920623	−	0.390453i	$-0.127682\pi$
$181$	19.9652	+	5.86233i	1.48401	+	0.435743i	0.563382	+	0.826196i	$0.309500\pi$
$182$	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	−0.0231712	−	0.999732i	$-0.507376\pi$
$191$	−4.52007	−	0.649888i	−0.327061	−	0.0470242i	−0.303890	+	0.952707i	$0.598285\pi$
$192$	0.730873	+	2.48912i	0.0527462	+	0.179637i
$193$	−20.9423	−	13.4588i	−1.50746	−	0.968787i	−0.993847	−	0.110766i	$-0.964670\pi$
$193$	−20.9423	−	13.4588i	−1.50746	−	0.968787i	−0.513615	−	0.858021i	$-0.671694\pi$
$194$	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	0.681365	+	0.731944i	$0.261387\pi$
$197$	3.28172	+	22.8248i	0.233813	+	1.62620i	−0.447552	+	0.894258i	$0.647704\pi$
$198$	0.295707	−	0.460129i	0.0210150	−	0.0326999i
$199$	14.6718	−	4.30802i	1.04005	−	0.305387i	0.283261	−	0.959043i	$-0.408584\pi$
$199$	14.6718	−	4.30802i	1.04005	−	0.305387i	0.756792	+	0.653656i	$0.226765\pi$
$200$	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	−0.999261	−	0.0384282i	$-0.987765\pi$
$211$	−13.0019	−	15.0050i	−0.895089	−	1.03299i	0.104173	−	0.994559i	$-0.466781\pi$
$212$	−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	0.444653	−	0.895703i	$-0.353327\pi$
$223$	9.24282	+	1.32892i	0.618945	+	0.0889909i	0.174292	+	0.984694i	$0.444236\pi$
$224$	−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	0.287548	−	0.957766i	$-0.407160\pi$
$227$	0.175392	+	0.0514997i	0.0116412	+	0.00341815i	−0.275907	+	0.961184i	$0.588978\pi$
$228$	−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	0.664680	−	0.747128i	$-0.268568\pi$
$233$	12.5155	+	3.67488i	0.819917	+	0.240749i	0.155236	+	0.987877i	$0.450386\pi$
$234$	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	0.336232	−	0.941779i	$-0.390847\pi$
$239$	−5.88648	−	3.78301i	−0.380765	−	0.244703i	−0.716997	+	0.697077i	$0.754484\pi$
$240$	4.66996	−	0.671438i	0.301444	−	0.0433412i
$241$	−12.1600	−	26.6266i	−0.783292	−	1.71517i	−0.694924	−	0.719083i	$-0.744562\pi$
$241$	−12.1600	−	26.6266i	−0.783292	−	1.71517i	−0.0883679	−	0.996088i	$-0.528165\pi$
$242$	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	0.0555994	+	0.998453i	$0.482293\pi$
$251$	−11.6508	+	25.5117i	−0.735391	+	1.61028i	−0.790990	+	0.611829i	$0.790434\pi$
$252$	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	−0.826778	−	0.562528i	$-0.809829\pi$
$257$	−6.21433	+	5.38475i	−0.387639	+	0.335891i	0.439139	+	0.898419i	$0.355284\pi$
$258$	−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	−0.224487	−	0.974477i	$-0.572071\pi$
$263$	−2.68136	+	0.385521i	−0.165340	+	0.0237723i	0.0591478	+	0.998249i	$0.481162\pi$
$264$	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	−0.101657	−	0.994820i	$-0.532414\pi$
$269$	−7.86388	−	1.13065i	−0.479469	−	0.0689372i	−0.377812	+	0.925882i	$0.623323\pi$
$270$	2.60258	+	2.25515i	0.158388	+	0.137244i
$271$	−14.7593	−	22.9659i	−0.896563	−	1.39508i	−0.918543	−	0.395320i	$-0.870634\pi$
$271$	−14.7593	−	22.9659i	−0.896563	−	1.39508i	0.0219806	−	0.999758i	$-0.493003\pi$
$272$	−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	0.940189	−	0.340654i	$-0.110648\pi$
$281$	4.01896	+	6.25362i	0.239751	+	0.373060i	−0.700438	+	0.713713i	$0.747012\pi$
$282$	5.86354	−	6.76688i	0.349168	−	0.402962i
$283$	−1.99165	+	13.8523i	−0.118392	+	0.823431i	0.840936	+	0.541135i	$0.182005\pi$
$283$	−1.99165	+	13.8523i	−0.118392	+	0.823431i	−0.959327	+	0.282296i	$0.908904\pi$
$284$	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	−0.361837	−	0.932241i	$-0.617850\pi$
$293$	10.4828	−	12.0978i	0.612410	−	0.706759i	0.974247	+	0.225483i	$0.0723959\pi$
$294$	−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	0.984882	+	0.173229i	$0.0554202\pi$
$307$	4.38038	+	14.9182i	0.250001	+	0.851426i	−0.734880	+	0.678197i	$0.762762\pi$
$308$	−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	−0.199236	−	0.979952i	$-0.563846\pi$
$311$	7.24614	−	3.30920i	0.410891	−	0.187648i	0.610126	+	0.792304i	$0.291119\pi$
$312$	0.847736	+	5.89613i	0.0479936	+	0.333803i
$313$	16.8700	+	10.8417i	0.953548	+	0.612808i	0.922205	−	0.386701i	$-0.126385\pi$
$313$	16.8700	+	10.8417i	0.953548	+	0.612808i	0.0313426	+	0.999509i	$0.490022\pi$
$314$	−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	−0.372216	−	0.928146i	$-0.621402\pi$
$317$	5.65169	−	3.63212i	0.317431	−	0.204000i	0.689647	+	0.724146i	$0.257766\pi$
$318$	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	0.864906	−	0.501934i	$-0.167378\pi$
$331$	13.9657	+	8.97522i	0.767625	+	0.493323i	−0.0972805	+	0.995257i	$0.531014\pi$
$332$	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	0.852292	−	0.523067i	$-0.175212\pi$
$337$	−2.70761	−	9.22128i	−0.147493	−	0.502315i	−0.999785	+	0.0207519i	$0.993394\pi$
$338$	−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	−0.999460	−	0.0328544i	$-0.989540\pi$
$347$	−5.96324	+	13.0577i	−0.320123	+	0.700972i	0.679337	+	0.733827i	$0.262268\pi$
$348$	5.42373	−	18.4715i	0.290742	−	0.990177i
$349$	−20.0486	+	17.3722i	−1.07318	+	0.929912i	−0.997737	−	0.0672383i	$-0.978581\pi$
$349$	−20.0486	+	17.3722i	−1.07318	+	0.929912i	−0.0754389	+	0.997150i	$0.524036\pi$
$350$	−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	0.911536	+	0.411220i	$0.134897\pi$
$353$	6.89578	+	23.4849i	0.367025	+	1.24997i	−0.544511	+	0.838754i	$0.683285\pi$
$354$	−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	−0.650350	−	0.759635i	$-0.725378\pi$
$359$	5.88889	−	9.16329i	0.310804	−	0.483620i	0.961153	+	0.276015i	$0.0890139\pi$
$360$	−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	−0.839378	−	0.543549i	$-0.817080\pi$
$373$	−19.0258	−	29.6047i	−0.985117	−	1.53287i	−0.145739	−	0.989323i	$-0.546556\pi$
$374$	−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	0.0673694	−	0.997728i	$-0.478539\pi$
$379$	16.8499	−	7.69508i	0.865520	−	0.395270i	0.798150	+	0.602459i	$0.205812\pi$
$380$	−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	−0.677183	−	0.735814i	$-0.736800\pi$
$383$	−16.6163	+	4.87900i	−0.849055	+	0.249305i	−0.171872	+	0.985119i	$0.554981\pi$
$384$	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	0.759283	−	0.650761i	$-0.225550\pi$
$389$	15.0821	+	6.88779i	0.764695	+	0.349225i	0.00541238	+	0.999985i	$0.498277\pi$
$390$	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	0.655746	−	0.754982i	$-0.272354\pi$
$397$	0.0352935	+	0.0305820i	0.00177133	+	0.00153487i	−0.653975	+	0.756516i	$0.726900\pi$
$398$	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	−0.568973	−	0.822356i	$-0.692659\pi$
$401$	−17.6863	+	2.54291i	−0.883213	+	0.126987i	−0.314241	+	0.949343i	$0.601750\pi$
$402$	−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	0.979248	+	0.202664i	$0.0649599\pi$
$409$	15.3054	+	23.8157i	0.756804	+	1.17761i	−0.222445	+	0.974945i	$0.571404\pi$
$410$	−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	−0.492877	−	0.870099i	$-0.664055\pi$
$419$	1.92096	−	1.23452i	0.0938448	−	0.0603104i	0.586722	+	0.809789i	$0.300418\pi$
$420$	11.4208	−	5.03784i	0.557280	−	0.245821i
$421$	−20.1264	−	2.89374i	−0.980901	−	0.141032i	−0.366834	−	0.930286i	$-0.619558\pi$
$421$	−20.1264	−	2.89374i	−0.980901	−	0.141032i	−0.614067	+	0.789254i	$0.710467\pi$
$422$	−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	0.640753	−	0.767747i	$-0.278622\pi$
$431$	−0.581106	−	0.503531i	−0.0279909	−	0.0242542i	−0.668744	+	0.743493i	$0.733168\pi$
$432$	1.02373	+	1.59295i	0.0492541	+	0.0766408i
$433$	14.4388	+	16.6632i	0.693883	+	0.800783i	0.987912	−	0.155013i	$-0.0495419\pi$
$433$	14.4388	+	16.6632i	0.693883	+	0.800783i	−0.294030	+	0.955796i	$0.594996\pi$
$434$	−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	0.800991	−	0.598677i	$-0.204307\pi$
$439$	18.2930	+	8.35414i	0.873078	+	0.398722i	0.0720876	+	0.997398i	$0.477034\pi$
$440$	−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	−0.485871	−	0.874031i	$-0.661497\pi$
$443$	9.43794	−	10.8920i	0.448410	−	0.517493i	0.934281	+	0.356538i	$0.116043\pi$
$444$	−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	−0.994567	−	0.104098i	$-0.966804\pi$
$449$	−8.94067	−	19.5773i	−0.421936	−	0.923912i	0.572631	−	0.819814i	$-0.305923\pi$
$450$	−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	0.687008	+	0.726650i	$0.258924\pi$
$457$	−6.06688	+	20.6619i	−0.283797	+	0.966523i	−0.970804	+	0.239873i	$0.922894\pi$
$458$	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	$0.342483\pi$
$461$			37.7904i			1.76007i	−0.474904	+	0.880037i	$0.657517\pi$
$462$	0.649193	+	0.769131i	0.0302032	+	0.0357832i
$463$	−6.89065	−	2.02328i	−0.320236	−	0.0940297i	0.117664	−	0.993053i	$-0.462459\pi$
$463$	−6.89065	−	2.02328i	−0.320236	−	0.0940297i	−0.437900	+	0.899024i	$0.644278\pi$
$464$	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	−0.995758	−	0.0920137i	$-0.970670\pi$
$467$	−0.311445	+	2.16614i	−0.0144119	+	0.100237i	0.981346	+	0.192251i	$0.0615787\pi$
$468$	−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	0.799520	−	0.600639i	$-0.205087\pi$
$479$	1.99626	+	2.30381i	0.0912116	+	0.105264i	−0.708309	+	0.705903i	$0.750542\pi$
$480$	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	0.835811	−	0.549018i	$-0.184998\pi$
$487$	3.82734	+	4.41698i	0.173433	+	0.200153i	−0.662378	+	0.749170i	$0.730453\pi$
$488$	−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	−0.775750	−	0.631041i	$-0.782628\pi$
$491$	−24.0904	+	7.07358i	−1.08719	+	0.319226i	−0.311436	+	0.950267i	$0.600810\pi$
$492$	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	−0.960845	−	0.277086i	$-0.910631\pi$
$499$	0.874394	−	6.08155i	0.0391433	−	0.272247i	0.999988	+	0.00483891i	$0.00154028\pi$
$500$	−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	0.946556	−	0.322540i	$-0.104537\pi$
$503$	35.1771	+	10.3289i	1.56847	+	0.460545i	0.621915	+	0.783084i	$0.286355\pi$
$504$	−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	0.352325	+	0.935878i	$0.385391\pi$
$509$	−10.1534	+	34.5794i	−0.450043	+	1.53271i	−0.802368	+	0.596829i	$0.796427\pi$
$510$	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	−0.833471	−	0.552562i	$-0.813650\pi$
$521$	−28.2098	+	8.28315i	−1.23589	+	0.362891i	−0.402423	+	0.915454i	$0.631832\pi$
$522$	−3.93917	+	27.3975i	−0.172413	+	1.19916i
$523$	0.211236	−	0.243779i	0.00923670	−	0.0106597i	−0.751112	−	0.660174i	$-0.770482\pi$
$523$	0.211236	−	0.243779i	0.00923670	−	0.0106597i	0.760349	+	0.649515i	$0.225028\pi$
$524$	−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	0.990524	+	0.137337i	$0.0438542\pi$
$541$	10.3658	+	22.6980i	0.445661	+	0.975862i	−0.544863	+	0.838525i	$0.683418\pi$
$542$	−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	−0.699569	−	0.714565i	$-0.746625\pi$
$547$	−7.95636	+	5.11324i	−0.340189	+	0.218626i	0.359380	+	0.933191i	$0.382988\pi$
$548$	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	0.967261	−	0.253783i	$-0.0816750\pi$
$557$	7.89677	+	12.2876i	0.334597	+	0.520643i	−0.632664	+	0.774426i	$0.718039\pi$
$558$	−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	0.996163	−	0.0875184i	$-0.0278937\pi$
$563$	6.58852	+	14.4268i	0.277673	+	0.608019i	−0.718490	+	0.695537i	$0.755166\pi$
$564$	−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	0.0917562	−	0.995782i	$-0.470752\pi$
$569$	−21.0111	−	18.2062i	−0.880831	−	0.763245i	−0.972588	+	0.232537i	$0.925297\pi$
$570$	14.5900	+	22.7024i	0.611107	+	0.950901i
$571$	16.7289	−	14.4956i	0.700081	−	0.606624i	−0.230342	−	0.973110i	$-0.573985\pi$
$571$	16.7289	−	14.4956i	0.700081	−	0.606624i	0.930424	+	0.366486i	$0.119439\pi$
$572$	−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	0.389577	−	0.920994i	$-0.372621\pi$
$577$	−1.23337	−	0.563260i	−0.0513457	−	0.0234488i	−0.440922	+	0.897545i	$0.645349\pi$
$578$	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	−0.758887	+	0.651222i	$0.774257\pi$
$587$	−42.3510	+	19.3411i	−1.74801	+	0.798291i	−0.989126	+	0.147069i	$0.953016\pi$
$588$	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	−0.993586	−	0.113080i	$-0.963928\pi$
$593$	−16.6491	−	25.9065i	−0.683696	−	1.06385i	0.309889	−	0.950773i	$-0.399708\pi$
$594$	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	−0.976601	−	0.215061i	$-0.931005\pi$
$601$	−0.950241	+	3.23622i	−0.0387611	+	0.132008i	0.937839	+	0.347069i	$0.112823\pi$
$602$	−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	−0.0829450	+	0.996554i	$0.526433\pi$
$607$	−23.5283	+	36.6108i	−0.954986	+	1.48599i	−0.872041	+	0.489433i	$0.837204\pi$
$608$	−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	0.533971	+	0.845503i	$0.320699\pi$
$613$	13.4163	+	45.6917i	0.541879	+	1.84547i	0.00790810	+	0.999969i	$0.497483\pi$
$614$	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	−0.649968	−	0.759962i	$-0.725218\pi$
$617$	0.242398	−	0.210039i	0.00975858	−	0.00845586i	0.659726	+	0.751506i	$0.270672\pi$
$618$	2.77551	−	9.45251i	0.111647	−	0.380236i
$619$	10.6305	−	23.2776i	0.427276	−	0.935604i	−0.566485	−	0.824072i	$-0.691697\pi$
$619$	10.6305	−	23.2776i	0.427276	−	0.935604i	0.993761	−	0.111532i	$-0.0355756\pi$
$620$			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	−0.452105	−	0.891965i	$-0.649327\pi$
$631$	−15.9410	+	2.29197i	−0.634600	+	0.0912417i	−0.182496	+	0.983207i	$0.558418\pi$
$632$	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	−0.992202	−	0.124644i	$-0.960221\pi$
$641$	−2.28167	+	7.77067i	−0.0901207	+	0.306923i	0.902081	+	0.431567i	$0.142039\pi$
$642$	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	−0.379240	−	0.925298i	$-0.623814\pi$
$647$	11.1932	−	38.1206i	0.440051	−	1.49868i	0.819291	−	0.573378i	$-0.194367\pi$
$648$	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	0.538397	−	0.842691i	$-0.319030\pi$
$653$	−0.114571	−	0.0736301i	−0.00448350	−	0.00288137i	−0.542881	+	0.839810i	$0.682666\pi$
$654$	−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	−0.985668	−	0.168695i	$-0.946045\pi$
$659$	−6.35806	−	21.6536i	−0.247675	−	0.843503i	0.737993	−	0.674808i	$-0.235774\pi$
$660$	0.0984601	−	0.684805i	0.00383255	−	0.0266560i
$661$	−6.49448	+	7.49503i	−0.252606	+	0.291523i	−0.867863	−	0.496804i	$-0.834507\pi$
$661$	−6.49448	+	7.49503i	−0.252606	+	0.291523i	0.615257	+	0.788327i	$0.289052\pi$
$662$	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	−0.530360	−	0.847772i	$-0.677943\pi$
$673$	9.96860	−	11.5044i	0.384261	−	0.443461i	0.914621	+	0.404311i	$0.132489\pi$
$674$	−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	−0.943568	−	0.331179i	$-0.892554\pi$
$677$	−3.42218	−	23.8018i	−0.131525	−	0.914777i	0.812043	−	0.583598i	$-0.198356\pi$
$678$	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	0.944029	+	0.329863i	$0.107003\pi$
$683$	−1.42937	+	9.94149i	−0.0546933	+	0.380401i	−0.998722	+	0.0505376i	$0.983907\pi$
$684$	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	$-0.931574\pi$
$691$		−	11.2148i		−	0.426630i	0.976984	−	0.213315i	$-0.0684260\pi$
$692$	−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	−0.622723	−	0.782443i	$-0.713973\pi$
$701$	−11.6281	+	5.31039i	−0.439189	+	0.200571i	0.183534	+	0.983013i	$0.441246\pi$
$702$	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	−0.811182	−	0.584794i	$-0.801175\pi$
$709$	−9.26047	+	8.02424i	−0.347784	+	0.301357i	0.463398	+	0.886150i	$0.346630\pi$
$710$	−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	0.993845	−	0.110782i	$-0.0353354\pi$
$719$	27.5014	+	23.8301i	1.02563	+	0.888713i	0.0317848	+	0.999495i	$0.489881\pi$
$720$	−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	0.128018	−	0.991772i	$-0.459138\pi$
$727$	−19.4389	−	12.4926i	−0.720948	−	0.463325i	−0.848967	+	0.528446i	$0.822775\pi$
$728$	−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	0.873788	−	0.486307i	$-0.161656\pi$
$733$	36.4402	+	10.6998i	1.34595	+	0.395206i	0.472160	+	0.881513i	$0.343474\pi$
$734$	−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	0.784115	−	0.620615i	$-0.213117\pi$
$739$	30.1266	+	8.84597i	1.10823	+	0.325404i	0.324110	+	0.946019i	$0.394935\pi$
$740$	−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	0.861852	−	0.507160i	$-0.169305\pi$
$743$	42.1384	+	6.05859i	1.54591	+	0.222268i	0.684057	+	0.729428i	$0.260214\pi$
$744$	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	0.864557	+	0.502535i	$0.167599\pi$
$751$	11.2066	+	38.1663i	0.408936	+	1.39271i	−0.455621	+	0.890174i	$0.650583\pi$
$752$	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	−0.100559	−	0.994931i	$-0.532063\pi$
$757$	−25.2666	−	11.5389i	−0.918330	−	0.419387i	−0.817771	+	0.575544i	$0.804790\pi$
$758$		−	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	−0.182137	−	0.983273i	$-0.558302\pi$
$761$	−28.8144	−	13.1591i	−1.04452	−	0.477016i	−0.862383	+	0.506257i	$0.831029\pi$
$762$	−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	−0.940988	−	0.338440i	$-0.890101\pi$
$769$	−3.70113	−	25.7419i	−0.133466	−	0.928278i	0.807522	−	0.589838i	$-0.200808\pi$
$770$	−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	0.791012	−	0.611800i	$-0.209554\pi$
$773$	15.6557	+	10.0613i	0.563098	+	0.361881i	−0.227915	+	0.973681i	$0.573191\pi$
$774$	−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	0.291017	−	0.956718i	$-0.406006\pi$
$787$	35.9694	−	23.1161i	1.28217	−	0.824001i	0.991154	+	0.132717i	$0.0423701\pi$
$788$	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	−0.629612	−	0.776910i	$-0.716786\pi$
$797$	−20.8698	+	6.12792i	−0.739246	+	0.217062i	−0.109634	+	0.993972i	$0.534968\pi$
$798$	−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	0.983796	−	0.179289i	$-0.0573798\pi$
$809$	18.9522	+	21.8720i	0.666323	+	0.768978i	−0.317473	+	0.948267i	$0.602834\pi$
$810$	9.60427	−	6.17229i	0.337460	−	0.216872i
$811$	16.1052	+	13.9553i	0.565531	+	0.490035i	0.890062	−	0.455840i	$-0.150661\pi$
$811$	16.1052	+	13.9553i	0.565531	+	0.490035i	−0.324531	+	0.945875i	$0.605206\pi$
$812$	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	−0.471494	−	0.881870i	$-0.656285\pi$
$821$	6.57166	−	45.7069i	0.229353	−	1.59518i	0.700846	−	0.713313i	$-0.252806\pi$
$822$	−24.5389	+	28.3193i	−0.855891	+	0.987751i
$823$	13.0305	−	8.37419i	0.454215	−	0.291906i	−0.293460	−	0.955971i	$-0.594807\pi$
$823$	13.0305	−	8.37419i	0.454215	−	0.291906i	0.747675	+	0.664065i	$0.231170\pi$
$824$	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	$-0.984858\pi$
$827$		−	2.73494i		−	0.0951031i	0.998869	−	0.0475516i	$-0.0151418\pi$
$828$	−13.8077	−	11.3723i	−0.479850	−	0.395215i
$829$		−	10.8506i		−	0.376857i	−0.982087	−	0.188428i	$-0.939661\pi$
$829$		−	10.8506i		−	0.376857i	0.982087	−	0.188428i	$-0.0603393\pi$
$830$	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	0.989683	−	0.143271i	$-0.0457621\pi$
$839$	6.75770	+	14.7973i	0.233302	+	0.510859i	−0.756382	+	0.654130i	$0.773035\pi$
$840$	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	−0.209141	−	0.977885i	$-0.567067\pi$
$853$	−31.6927	−	14.4736i	−1.08514	−	0.495565i	−0.875995	+	0.482320i	$0.839794\pi$
$854$	−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	0.964301	−	0.264807i	$-0.0853084\pi$
$857$	24.5738	+	21.2933i	0.839424	+	0.727365i	−0.124878	+	0.992172i	$0.539854\pi$
$858$	0.864612	+	0.124312i	0.0295174	+	0.00424396i
$859$	−7.85671	−	26.7575i	−0.268067	−	0.912954i	−0.977986	−	0.208670i	$-0.933086\pi$
$859$	−7.85671	−	26.7575i	−0.268067	−	0.912954i	0.709919	−	0.704284i	$-0.248732\pi$
$860$	−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	0.932261	−	0.361786i	$-0.117833\pi$
$863$	1.42010	+	3.10958i	0.0483407	+	0.105851i	−0.883921	+	0.467637i	$0.845105\pi$
$864$	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	−0.697090	−	0.716983i	$-0.745522\pi$
$877$	−49.4898	−	14.5315i	−1.67115	−	0.490694i	−0.974060	+	0.226289i	$0.927341\pi$
$878$	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	−0.660275	−	0.751024i	$-0.729560\pi$
$881$	5.48641	−	38.1589i	0.184842	−	1.28560i	0.845117	−	0.534581i	$-0.179530\pi$
$882$	−21.5913	−	14.6804i	−0.727017	−	0.494316i
$883$	−26.4561	−	17.0023i	−0.890318	−	0.572172i	0.0135864	−	0.999908i	$-0.495675\pi$
$883$	−26.4561	−	17.0023i	−0.890318	−	0.572172i	−0.903904	+	0.427735i	$0.859312\pi$
$884$	−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	0.425481	−	0.904967i	$-0.360105\pi$
$887$	32.4238	−	4.66184i	1.08869	−	0.156529i	0.663205	+	0.748438i	$0.269196\pi$
$888$	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	−0.527679	−	0.849444i	$-0.676938\pi$
$907$	−23.9326	+	3.44098i	−0.794668	+	0.114256i	−0.266989	+	0.963700i	$0.586029\pi$
$908$	−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	−0.995342	−	0.0964071i	$-0.969265\pi$
$911$	−14.9153	+	23.2087i	−0.494167	+	0.768939i	0.501175	+	0.865346i	$0.332901\pi$
$912$	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	$0.159937\pi$
$919$			29.1982i			0.963160i	−0.876402	+	0.481580i	$0.840063\pi$
$920$	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	−0.477903	−	0.878413i	$-0.658603\pi$
$929$	15.8389	−	24.6458i	0.519657	−	0.808603i	0.997560	+	0.0698100i	$0.0222393\pi$
$930$	−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	−0.248849	−	0.968542i	$-0.580052\pi$
$937$	22.8125	−	26.3270i	0.745250	−	0.860065i	0.994099	+	0.108478i	$0.0345976\pi$
$938$	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	−0.914455	−	0.404688i	$-0.867380\pi$
$941$	−0.299745	+	0.656350i	−0.00977141	+	0.0213964i	0.904683	+	0.426084i	$0.140107\pi$
$942$		−	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	0.334481	−	0.942402i	$-0.391439\pi$
$947$	−19.8774	−	22.9398i	−0.645930	−	0.745443i	−0.980412	+	0.196959i	$0.936893\pi$
$948$	−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	0.159028	−	0.987274i	$-0.449164\pi$
$953$	18.2064	−	2.61768i	0.589762	−	0.0847950i	0.430734	+	0.902479i	$0.358255\pi$
$954$	−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	−0.753262	−	0.657720i	$-0.771521\pi$
$971$	−14.5800	+	9.37001i	−0.467895	+	0.300698i	0.285367	+	0.958418i	$0.407885\pi$
$972$	−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	−0.447912	−	0.894078i	$-0.647832\pi$
$977$	−2.04839	+	0.935468i	−0.0655338	+	0.0299283i	0.382379	+	0.924006i	$0.375105\pi$
$978$	−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	−0.119638	+	0.992818i	$0.538173\pi$
$983$	−34.0280	+	39.2704i	−1.08532	+	1.25253i	−0.965686	+	0.259713i	$0.916372\pi$
$984$	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	−0.669878	−	0.742471i	$-0.733654\pi$
$991$	10.3860	−	22.7421i	0.329921	−	0.722425i	0.999799	+	0.0200454i	$0.00638107\pi$
$992$	−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	0.971740	−	0.236053i	$-0.0758538\pi$
$997$	0.841188	+	2.86482i	0.0266407	+	0.0907298i	−0.945100	+	0.326782i	$0.894036\pi$
$998$	−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.293.2	yes	80
7.6	odd	2	inner	322.2.k.a.293.7	yes	80
23.19	odd	22	inner	322.2.k.a.111.7	yes	80
161.111	even	22	inner	322.2.k.a.111.2	✓	80

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
322.2.k.a.111.2	✓	80	161.111	even	22	inner
322.2.k.a.111.7	yes	80	23.19	odd	22	inner
322.2.k.a.293.2	yes	80	1.1	even	1	trivial
322.2.k.a.293.7	yes	80	7.6	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 $\F_{q}$

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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