LMFDB - Embedded newform 280.2.bv.e.117.11

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [280,2,Mod(117,280)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(280, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([0, 6, 3, 10]))

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

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

chi := DirichletCharacter("280.117");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 280 = 2^{3} \cdot 5 \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	280.bv (of order $12$, degree $4$, 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:	$2.23581125660$
Analytic rank:	$0$
Dimension:	$160$
Relative dimension:	$40$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			117.11
Character	$\chi$	$=$	280.117
Dual form			280.2.bv.e.213.11

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.880343 - 1.10680i) q^{2} +(1.90798 + 0.511242i) q^{3} +(-0.449991 + 1.94872i) q^{4} +(-1.79531 - 1.33299i) q^{5} +(-1.11384 - 2.56181i) q^{6} +(1.57290 + 2.12743i) q^{7} +(2.55298 - 1.21749i) q^{8} +(0.780947 + 0.450880i) q^{9} +O(q^{10})$	\(q+(-0.880343 - 1.10680i) q^{2} +(1.90798 + 0.511242i) q^{3} +(-0.449991 + 1.94872i) q^{4} +(-1.79531 - 1.33299i) q^{5} +(-1.11384 - 2.56181i) q^{6} +(1.57290 + 2.12743i) q^{7} +(2.55298 - 1.21749i) q^{8} +(0.780947 + 0.450880i) q^{9} +(0.105136 + 3.16053i) q^{10} +(4.35724 - 2.51566i) q^{11} +(-1.85484 + 3.48807i) q^{12} +(2.21409 - 2.21409i) q^{13} +(0.969937 - 3.61375i) q^{14} +(-2.74393 - 3.46116i) q^{15} +(-3.59502 - 1.75381i) q^{16} +(-0.167379 - 0.0448492i) q^{17} +(-0.188470 - 1.26128i) q^{18} +(7.36877 + 4.25436i) q^{19} +(3.40550 - 2.89871i) q^{20} +(1.91344 + 4.86324i) q^{21} +(-6.62019 - 2.60794i) q^{22} +(0.161596 + 0.603086i) q^{23} +(5.49347 - 1.01777i) q^{24} +(1.44626 + 4.78627i) q^{25} +(-4.39970 - 0.501384i) q^{26} +(-2.93069 - 2.93069i) q^{27} +(-4.85356 + 2.10782i) q^{28} -2.66767 q^{29} +(-1.41520 + 6.08398i) q^{30} +(-7.33535 + 4.23507i) q^{31} +(1.22374 + 5.52290i) q^{32} +(9.59965 - 2.57222i) q^{33} +(0.0977125 + 0.224737i) q^{34} +(0.0120087 - 5.91607i) q^{35} +(-1.23006 + 1.31895i) q^{36} +(-1.25625 - 4.68837i) q^{37} +(-1.77834 - 11.9010i) q^{38} +(5.35638 - 3.09251i) q^{39} +(-6.20630 - 1.21733i) q^{40} -0.0598503i q^{41} +(3.69812 - 6.39910i) q^{42} +(-6.22590 - 6.22590i) q^{43} +(2.94159 + 9.62307i) q^{44} +(-0.801019 - 1.85047i) q^{45} +(0.525232 - 0.709777i) q^{46} +(-1.60670 - 5.99630i) q^{47} +(-5.96260 - 5.18416i) q^{48} +(-2.05194 + 6.69250i) q^{49} +(4.02422 - 5.81427i) q^{50} +(-0.296428 - 0.171143i) q^{51} +(3.31832 + 5.31096i) q^{52} +(-1.12433 + 4.19605i) q^{53} +(-0.663661 + 5.82369i) q^{54} +(-11.1759 - 1.29180i) q^{55} +(6.60573 + 3.51629i) q^{56} +(11.8845 + 11.8845i) q^{57} +(2.34847 + 2.95257i) q^{58} +(-8.50588 + 4.91087i) q^{59} +(7.97958 - 3.78966i) q^{60} +(-1.69798 + 2.94099i) q^{61} +(11.1450 + 4.39042i) q^{62} +(0.269138 + 2.37060i) q^{63} +(5.03541 - 6.21648i) q^{64} +(-6.92634 + 1.02360i) q^{65} +(-11.2979 - 8.36041i) q^{66} +(-5.27307 - 1.41291i) q^{67} +(0.162718 - 0.305994i) q^{68} +1.23329i q^{69} +(-6.55845 + 5.19488i) q^{70} +5.68213 q^{71} +(2.54269 + 0.200289i) q^{72} +(-1.38355 + 5.16347i) q^{73} +(-4.08314 + 5.51779i) q^{74} +(0.312487 + 9.87149i) q^{75} +(-11.6064 + 12.4452i) q^{76} +(12.2054 + 5.31286i) q^{77} +(-8.13822 - 3.20594i) q^{78} +(8.36703 + 4.83071i) q^{79} +(4.11634 + 7.94077i) q^{80} +(-5.44605 - 9.43284i) q^{81} +(-0.0662420 + 0.0526888i) q^{82} +(-1.20598 + 1.20598i) q^{83} +(-10.3381 + 1.54034i) q^{84} +(0.240714 + 0.303634i) q^{85} +(-1.40987 + 12.3717i) q^{86} +(-5.08987 - 1.36383i) q^{87} +(8.06116 - 11.7273i) q^{88} +(-3.81497 + 6.60772i) q^{89} +(-1.34291 + 2.51561i) q^{90} +(8.19288 + 1.22778i) q^{91} +(-1.24796 + 0.0435228i) q^{92} +(-16.1609 + 4.33029i) q^{93} +(-5.22222 + 7.05709i) q^{94} +(-7.55817 - 17.4604i) q^{95} +(-0.488672 + 11.1632i) q^{96} +(1.71334 - 1.71334i) q^{97} +(9.21364 - 3.62062i) q^{98} +4.53704 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 160 q - 2 q^{2} + 12 q^{7} + 4 q^{8}+O(q^{10}) $ 160 * q - 2 * q^2 + 12 * q^7 + 4 * q^8	$ 160 q - 2 q^{2} + 12 q^{7} + 4 q^{8} - 6 q^{10} + 6 q^{12} - 8 q^{15} + 4 q^{16} - 12 q^{17} - 28 q^{18} - 24 q^{22} - 16 q^{23} + 20 q^{25} - 12 q^{26} - 46 q^{28} + 32 q^{30} + 48 q^{31} + 18 q^{32} - 12 q^{33} - 32 q^{36} - 48 q^{38} + 54 q^{40} + 6 q^{42} - 64 q^{46} - 132 q^{47} - 12 q^{50} - 20 q^{56} - 88 q^{57} + 6 q^{58} + 34 q^{60} - 32 q^{63} - 28 q^{65} - 180 q^{66} + 60 q^{68} - 108 q^{70} - 160 q^{71} + 52 q^{72} + 84 q^{73} + 48 q^{78} - 48 q^{80} + 16 q^{81} - 90 q^{82} - 84 q^{86} - 12 q^{87} + 44 q^{88} + 36 q^{92} - 20 q^{95} - 48 q^{96} - 94 q^{98}+O(q^{100}) $ 160 * q - 2 * q^2 + 12 * q^7 + 4 * q^8 - 6 * q^10 + 6 * q^12 - 8 * q^15 + 4 * q^16 - 12 * q^17 - 28 * q^18 - 24 * q^22 - 16 * q^23 + 20 * q^25 - 12 * q^26 - 46 * q^28 + 32 * q^30 + 48 * q^31 + 18 * q^32 - 12 * q^33 - 32 * q^36 - 48 * q^38 + 54 * q^40 + 6 * q^42 - 64 * q^46 - 132 * q^47 - 12 * q^50 - 20 * q^56 - 88 * q^57 + 6 * q^58 + 34 * q^60 - 32 * q^63 - 28 * q^65 - 180 * q^66 + 60 * q^68 - 108 * q^70 - 160 * q^71 + 52 * q^72 + 84 * q^73 + 48 * q^78 - 48 * q^80 + 16 * q^81 - 90 * q^82 - 84 * q^86 - 12 * q^87 + 44 * q^88 + 36 * q^92 - 20 * q^95 - 48 * q^96 - 94 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/280\mathbb{Z}\right)^\times$.

$n$	$57$	$71$	$141$	$241$
$\chi(n)$	$e\left(\frac{1}{4}\right)$	$1$	$-1$	$e\left(\frac{5}{6}\right)$

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 $

$2$	−0.880343	−	1.10680i	−0.622497	−	0.782622i
$2$	−0.880343	−	1.10680i	−0.622497	−	0.782622i
$3$	1.90798	+	0.511242i	1.10157	+	0.295166i	0.763405	−	0.645920i	$-0.223526\pi$
$3$	1.90798	+	0.511242i	1.10157	+	0.295166i	0.338168	+	0.941086i	$0.390193\pi$
$4$	−0.449991	+	1.94872i	−0.224995	+	0.974360i
$5$	−1.79531	−	1.33299i	−0.802886	−	0.596133i
$5$	−1.79531	−	1.33299i	−0.802886	−	0.596133i
$6$	−1.11384	−	2.56181i	−0.454723	−	1.04586i
$7$	1.57290	+	2.12743i	0.594502	+	0.804094i
$7$	1.57290	+	2.12743i	0.594502	+	0.804094i
$8$	2.55298	−	1.21749i	0.902615	−	0.430449i
$9$	0.780947	+	0.450880i	0.260316	+	0.150293i
$10$	0.105136	+	3.16053i	0.0332468	+	0.999447i
$11$	4.35724	−	2.51566i	1.31376	−	0.758499i	0.331042	−	0.943616i	$-0.392600\pi$
$11$	4.35724	−	2.51566i	1.31376	−	0.758499i	0.982717	+	0.185117i	$0.0592664\pi$
$12$	−1.85484	+	3.48807i	−0.535447	+	1.00692i
$13$	2.21409	−	2.21409i	0.614078	−	0.614078i	−0.329928	−	0.944006i	$-0.607025\pi$
$13$	2.21409	−	2.21409i	0.614078	−	0.614078i	0.944006	+	0.329928i	$0.107025\pi$
$14$	0.969937	−	3.61375i	0.259226	−	0.965817i
$15$	−2.74393	−	3.46116i	−0.708480	−	0.893668i
$16$	−3.59502	−	1.75381i	−0.898754	−	0.438453i
$17$	−0.167379	−	0.0448492i	−0.0405955	−	0.0108775i	0.238464	−	0.971151i	$-0.423356\pi$
$17$	−0.167379	−	0.0448492i	−0.0405955	−	0.0108775i	−0.279060	+	0.960274i	$0.590023\pi$
$18$	−0.188470	−	1.26128i	−0.0444227	−	0.297286i
$19$	7.36877	+	4.25436i	1.69051	+	0.976018i	0.954101	+	0.299484i	$0.0968144\pi$
$19$	7.36877	+	4.25436i	1.69051	+	0.976018i	0.736411	+	0.676534i	$0.236519\pi$
$20$	3.40550	−	2.89871i	0.761494	−	0.648172i
$21$	1.91344	+	4.86324i	0.417547	+	1.06125i
$22$	−6.62019	−	2.60794i	−1.41143	−	0.556014i
$23$	0.161596	+	0.603086i	0.0336952	+	0.125752i	0.980725	−	0.195394i	$-0.0625986\pi$
$23$	0.161596	+	0.603086i	0.0336952	+	0.125752i	−0.947030	+	0.321146i	$0.895932\pi$
$24$	5.49347	−	1.01777i	1.12135	−	0.207751i
$25$	1.44626	+	4.78627i	0.289251	+	0.957253i
$26$	−4.39970	−	0.501384i	−0.862853	−	0.0983296i
$27$	−2.93069	−	2.93069i	−0.564012	−	0.564012i
$28$	−4.85356	+	2.10782i	−0.917237	+	0.398341i
$29$	−2.66767			−0.495374			−0.247687	−	0.968840i	$-0.579671\pi$
$29$	−2.66767			−0.495374			−0.247687	+	0.968840i	$0.579671\pi$
$30$	−1.41520	+	6.08398i	−0.258379	+	1.11078i
$31$	−7.33535	+	4.23507i	−1.31747	+	0.760641i	−0.983321	−	0.181880i	$-0.941782\pi$
$31$	−7.33535	+	4.23507i	−1.31747	+	0.760641i	−0.334148	+	0.942521i	$0.608448\pi$
$32$	1.22374	+	5.52290i	0.216328	+	0.976321i
$33$	9.59965	−	2.57222i	1.67108	−	0.447766i
$34$	0.0977125	+	0.224737i	0.0167576	+	0.0385421i
$35$	0.0120087	−	5.91607i	0.00202983	−	0.999998i
$36$	−1.23006	+	1.31895i	−0.205010	+	0.219826i
$37$	−1.25625	−	4.68837i	−0.206526	−	0.770764i	−0.988979	−	0.148055i	$-0.952699\pi$
$37$	−1.25625	−	4.68837i	−0.206526	−	0.770764i	0.782454	−	0.622709i	$-0.213968\pi$
$38$	−1.77834	−	11.9010i	−0.288485	−	1.93060i
$39$	5.35638	−	3.09251i	0.857707	−	0.495197i
$40$	−6.20630	−	1.21733i	−0.981302	−	0.192477i
$41$		−	0.0598503i		−	0.00934705i	−0.999989	−	0.00467352i	$-0.998512\pi$
$41$		−	0.0598503i		−	0.00934705i	0.999989	−	0.00467352i	$-0.00148763\pi$
$42$	3.69812	−	6.39910i	0.570633	−	0.987403i
$43$	−6.22590	−	6.22590i	−0.949441	−	0.949441i	0.0493410	−	0.998782i	$-0.484288\pi$
$43$	−6.22590	−	6.22590i	−0.949441	−	0.949441i	−0.998782	+	0.0493410i	$0.984288\pi$
$44$	2.94159	+	9.62307i	0.443461	+	1.45073i
$45$	−0.801019	−	1.85047i	−0.119409	−	0.275851i
$46$	0.525232	−	0.709777i	0.0774413	−	0.104651i
$47$	−1.60670	−	5.99630i	−0.234362	−	0.874650i	−0.978436	−	0.206552i	$-0.933776\pi$
$47$	−1.60670	−	5.99630i	−0.234362	−	0.874650i	0.744074	−	0.668097i	$-0.232891\pi$
$48$	−5.96260	−	5.18416i	−0.860627	−	0.748270i
$49$	−2.05194	+	6.69250i	−0.293135	+	0.956071i
$50$	4.02422	−	5.81427i	0.569110	−	0.822261i
$51$	−0.296428	−	0.171143i	−0.0415082	−	0.0239648i
$52$	3.31832	+	5.31096i	0.460168	+	0.736498i
$53$	−1.12433	+	4.19605i	−0.154438	+	0.576371i	0.844715	+	0.535217i	$0.179770\pi$
$53$	−1.12433	+	4.19605i	−0.154438	+	0.576371i	−0.999153	+	0.0411542i	$0.986897\pi$
$54$	−0.663661	+	5.82369i	−0.0903128	+	0.792505i
$55$	−11.1759	−	1.29180i	−1.50696	−	0.174187i
$56$	6.60573	+	3.51629i	0.882728	+	0.469884i
$57$	11.8845	+	11.8845i	1.57414	+	1.57414i
$58$	2.34847	+	2.95257i	0.308369	+	0.387691i
$59$	−8.50588	+	4.91087i	−1.10737	+	0.639341i	−0.938147	−	0.346237i	$-0.887459\pi$
$59$	−8.50588	+	4.91087i	−1.10737	+	0.639341i	−0.169224	+	0.985578i	$0.554126\pi$
$60$	7.97958	−	3.78966i	1.03016	−	0.489243i
$61$	−1.69798	+	2.94099i	−0.217404	+	0.376555i	−0.954014	−	0.299763i	$-0.903092\pi$
$61$	−1.69798	+	2.94099i	−0.217404	+	0.376555i	0.736609	+	0.676318i	$0.236426\pi$
$62$	11.1450	+	4.39042i	1.41541	+	0.557584i
$63$	0.269138	+	2.37060i	0.0339082	+	0.298668i
$64$	5.03541	−	6.21648i	0.629427	−	0.777060i
$65$	−6.92634	+	1.02360i	−0.859107	+	0.126962i
$66$	−11.2979	−	8.36041i	−1.39068	−	1.02910i
$67$	−5.27307	−	1.41291i	−0.644208	−	0.172615i	−0.0780990	−	0.996946i	$-0.524885\pi$
$67$	−5.27307	−	1.41291i	−0.644208	−	0.172615i	−0.566109	+	0.824331i	$0.691552\pi$
$68$	0.162718	−	0.305994i	0.0197324	−	0.0371072i
$69$			1.23329i			0.148471i
$70$	−6.55845	+	5.19488i	−0.783884	+	0.620907i
$71$	5.68213			0.674345			0.337173	−	0.941443i	$-0.390529\pi$
$71$	5.68213			0.674345			0.337173	+	0.941443i	$0.390529\pi$
$72$	2.54269	+	0.200289i	0.299658	+	0.0236043i
$73$	−1.38355	+	5.16347i	−0.161932	+	0.604338i	0.836480	+	0.547998i	$0.184610\pi$
$73$	−1.38355	+	5.16347i	−0.161932	+	0.604338i	−0.998412	+	0.0563402i	$0.982057\pi$
$74$	−4.08314	+	5.51779i	−0.474655	+	0.641429i
$75$	0.312487	+	9.87149i	0.0360829	+	1.13986i
$76$	−11.6064	+	12.4452i	−1.33135	+	1.42757i
$77$	12.2054	+	5.31286i	1.39094	+	0.605457i
$78$	−8.13822	−	3.20594i	−0.921472	−	0.363002i
$79$	8.36703	+	4.83071i	0.941364	+	0.543497i	0.890388	−	0.455203i	$-0.150433\pi$
$79$	8.36703	+	4.83071i	0.941364	+	0.543497i	0.0509765	+	0.998700i	$0.483767\pi$
$80$	4.11634	+	7.94077i	0.460220	+	0.887805i
$81$	−5.44605	−	9.43284i	−0.605117	−	1.04809i
$82$	−0.0662420	+	0.0526888i	−0.00731521	+	0.00581851i
$83$	−1.20598	+	1.20598i	−0.132374	+	0.132374i	−0.770189	−	0.637815i	$-0.779838\pi$
$83$	−1.20598	+	1.20598i	−0.132374	+	0.132374i	0.637815	+	0.770189i	$0.279838\pi$
$84$	−10.3381	+	1.54034i	−1.12798	+	0.168065i
$85$	0.240714	+	0.303634i	0.0261091	+	0.0329337i
$86$	−1.40987	+	12.3717i	−0.152030	+	1.33408i
$87$	−5.08987	−	1.36383i	−0.545691	−	0.146218i
$88$	8.06116	−	11.7273i	0.859323	−	1.25014i
$89$	−3.81497	+	6.60772i	−0.404386	+	0.700417i	−0.994250	−	0.107086i	$-0.965848\pi$
$89$	−3.81497	+	6.60772i	−0.404386	+	0.700417i	0.589864	+	0.807503i	$0.299181\pi$
$90$	−1.34291	+	2.51561i	−0.141556	+	0.265169i
$91$	8.19288	+	1.22778i	0.858847	+	0.128706i
$92$	−1.24796	+	0.0435228i	−0.130109	+	0.00453757i
$93$	−16.1609	+	4.33029i	−1.67580	+	0.449030i
$94$	−5.22222	+	7.05709i	−0.538631	+	0.727883i
$95$	−7.55817	−	17.4604i	−0.775452	−	1.79140i
$96$	−0.488672	+	11.1632i	−0.0498749	+	1.13934i
$97$	1.71334	−	1.71334i	0.173963	−	0.173963i	−0.614755	−	0.788718i	$-0.710745\pi$
$97$	1.71334	−	1.71334i	0.173963	−	0.173963i	0.788718	+	0.614755i	$0.210745\pi$
$98$	9.21364	−	3.62062i	0.930718	−	0.365737i
$99$	4.53704			0.455989
$100$	−9.97789	+	0.664569i	−0.997789	+	0.0664569i
$101$	6.28420	+	10.8846i	0.625302	+	1.08305i	0.988482	+	0.151336i	$0.0483574\pi$
$101$	6.28420	+	10.8846i	0.625302	+	1.08305i	−0.363181	+	0.931719i	$0.618309\pi$
$102$	0.0715384	+	0.478749i	0.00708336	+	0.0474032i
$103$	2.25184	−	0.603378i	0.221880	−	0.0594526i	−0.146166	−	0.989260i	$-0.546693\pi$
$103$	2.25184	−	0.603378i	0.221880	−	0.0594526i	0.368046	+	0.929807i	$0.380027\pi$
$104$	2.95688	−	8.34817i	0.289946	−	0.818605i
$105$	3.04745	−	11.2816i	0.297401	−	1.10097i
$106$	5.63396	−	2.44956i	0.547218	−	0.237922i
$107$	−4.04527	−	15.0972i	−0.391071	−	1.45950i	−0.828370	−	0.560181i	$-0.810732\pi$
$107$	−4.04527	−	15.0972i	−0.391071	−	1.45950i	0.437299	−	0.899316i	$-0.355935\pi$
$108$	7.02989	−	4.39231i	0.676451	−	0.422651i
$109$	−3.90368	−	6.76137i	−0.373904	−	0.647621i	0.616258	−	0.787544i	$-0.288648\pi$
$109$	−3.90368	−	6.76137i	−0.373904	−	0.647621i	−0.990162	+	0.139923i	$0.955315\pi$
$110$	8.40891	+	13.5067i	0.801758	+	1.28781i
$111$		−	9.58757i		−	0.910012i
$112$	−1.92350	−	10.4067i	−0.181753	−	0.983344i
$113$	−3.82066	+	3.82066i	−0.359418	+	0.359418i	−0.863598	−	0.504180i	$-0.831795\pi$
$113$	−3.82066	+	3.82066i	−0.359418	+	0.359418i	0.504180	+	0.863598i	$0.331795\pi$
$114$	2.69126	−	23.6161i	0.252060	−	2.21185i
$115$	0.513795	−	1.29813i	0.0479116	−	0.121051i
$116$	1.20043	−	5.19855i	0.111457	−	0.482673i
$117$	2.72737	−	0.730798i	0.252146	−	0.0675623i
$118$	12.9234	+	5.09101i	1.18970	+	0.468666i
$119$	−0.167858	−	0.426632i	−0.0153875	−	0.0391093i
$120$	−11.2191	−	5.49556i	−1.02416	−	0.501674i
$121$	7.15706	−	12.3964i	0.650641	−	1.12694i
$122$	4.74988	−	0.709764i	0.430034	−	0.0642590i
$123$	0.0305980	−	0.114193i	0.00275893	−	0.0102965i
$124$	−4.95212	−	16.2003i	−0.444713	−	1.45483i
$125$	3.78359	−	10.5207i	0.338415	−	0.940997i
$126$	2.38684	−	2.38483i	0.212636	−	0.212457i
$127$	0.205541	+	0.205541i	0.0182388	+	0.0182388i	0.716167	−	0.697929i	$-0.245895\pi$
$127$	0.205541	+	0.205541i	0.0182388	+	0.0182388i	−0.697929	+	0.716167i	$0.745895\pi$
$128$	−11.3133	−	0.100536i	−0.999961	−	0.00888617i
$129$	−8.69596	−	15.0618i	−0.765637	−	1.32612i
$130$	7.23047	+	6.76492i	0.634155	+	0.593322i
$131$	−1.21608	+	2.10632i	−0.106250	+	0.184030i	−0.914248	−	0.405155i	$-0.867218\pi$
$131$	−1.21608	+	2.10632i	−0.106250	+	0.184030i	0.807998	+	0.589185i	$0.200551\pi$
$132$	0.692777	+	19.8645i	0.0602985	+	1.72898i
$133$	2.53950	+	22.3683i	0.220203	+	1.93958i
$134$	3.07830	+	7.08005i	0.265925	+	0.611623i
$135$	1.35490	+	9.16809i	0.116611	+	0.789064i
$136$	−0.481920	+	0.0892845i	−0.0413243	+	0.00765608i
$137$	2.66071	−	9.92989i	0.227319	−	0.848368i	−0.754142	−	0.656711i	$-0.771947\pi$
$137$	2.66071	−	9.92989i	0.227319	−	0.848368i	0.981462	−	0.191657i	$-0.0613861\pi$
$138$	1.36500	−	1.08572i	0.116197	−	0.0924226i
$139$			2.70495i			0.229431i	0.993398	+	0.114715i	$0.0365956\pi$
$139$			2.70495i			0.229431i	−0.993398	+	0.114715i	$0.963404\pi$
$140$	11.5234	+	2.68558i	0.973901	+	0.226973i
$141$		−	12.2622i		−	1.03267i
$142$	−5.00223	−	6.28896i	−0.419778	−	0.527758i
$143$	4.07744	−	15.2172i	0.340973	−	1.27253i
$144$	−2.01676	−	2.99056i	−0.168063	−	0.249213i
$145$	4.78929	+	3.55599i	0.397729	+	0.295309i
$146$	6.93290	−	3.01432i	0.573771	−	0.249467i
$147$	−7.33655	+	11.7201i	−0.605109	+	0.966659i
$148$	9.70162	−	0.338345i	0.797469	−	0.0278118i
$149$	−2.07931	+	3.60147i	−0.170344	+	0.295044i	−0.938540	−	0.345170i	$-0.887821\pi$
$149$	−2.07931	+	3.60147i	−0.170344	+	0.295044i	0.768196	+	0.640214i	$0.221155\pi$
$150$	10.6506	−	9.03616i	0.869620	−	0.737800i
$151$	1.81029	+	3.13551i	0.147319	+	0.255164i	0.930236	−	0.366962i	$-0.119602\pi$
$151$	1.81029	+	3.13551i	0.147319	+	0.255164i	−0.782917	+	0.622127i	$0.786269\pi$
$152$	23.9920	+	1.88986i	1.94601	+	0.153288i
$153$	−0.110493	−	0.110493i	−0.00893282	−	0.00893282i
$154$	−4.86471	−	18.1860i	−0.392010	−	1.46547i
$155$	18.8145	+	2.17473i	1.51122	+	0.174679i
$156$	3.61610	+	11.8297i	0.289520	+	0.947132i
$157$	2.72296	−	10.1622i	0.217316	−	0.811033i	−0.768023	−	0.640422i	$-0.778759\pi$
$157$	2.72296	−	10.1622i	0.217316	−	0.811033i	0.985339	−	0.170611i	$-0.0545740\pi$
$158$	−2.01926	−	13.5133i	−0.160643	−	1.07506i
$159$	−4.29039	+	7.43117i	−0.340250	+	0.589330i
$160$	5.16501	−	11.5465i	0.408330	−	0.912834i
$161$	−1.02885	+	1.29238i	−0.0810847	+	0.101854i
$162$	−5.64583	+	14.3318i	−0.443578	+	1.12601i
$163$	−0.293617	+	0.0786743i	−0.0229978	+	0.00616225i	−0.270300	−	0.962776i	$-0.587123\pi$
$163$	−0.293617	+	0.0786743i	−0.0229978	+	0.00616225i	0.247302	+	0.968939i	$0.420456\pi$
$164$	0.116631	+	0.0269321i	0.00910739	+	0.00210304i
$165$	−20.6631	−	8.17835i	−1.60862	−	0.636684i
$166$	2.39645	+	0.273097i	0.186001	+	0.0211964i
$167$	−14.4018	+	14.4018i	−1.11444	+	1.11444i	−0.121902	+	0.992542i	$0.538899\pi$
$167$	−14.4018	+	14.4018i	−1.11444	+	1.11444i	−0.992542	+	0.121902i	$0.961101\pi$
$168$	10.8059	+	10.0861i	0.833696	+	0.778163i
$169$			3.19562i			0.245817i
$170$	0.124150	−	0.533723i	0.00952184	−	0.0409347i
$171$	3.83641	+	6.64486i	0.293378	+	0.508145i
$172$	14.9341	−	9.33094i	1.13872	−	0.711477i
$173$	−2.36833	−	8.83871i	−0.180061	−	0.671995i	−0.995634	−	0.0933417i	$-0.970245\pi$
$173$	−2.36833	−	8.83871i	−0.180061	−	0.671995i	0.815574	−	0.578653i	$-0.196422\pi$
$174$	2.97136	+	6.83408i	0.225258	+	0.518090i
$175$	−7.90764	+	10.6052i	−0.597761	+	0.801674i
$176$	−20.0764	+	1.40204i	−1.51331	+	0.105682i
$177$	−18.7397	+	5.02129i	−1.40856	+	0.377423i
$178$	10.6719	−	1.59467i	0.799891	−	0.119526i
$179$	1.49322	+	2.58632i	0.111608	+	0.193311i	0.916419	−	0.400221i	$-0.131067\pi$
$179$	1.49322	+	2.58632i	0.111608	+	0.193311i	−0.804811	+	0.593532i	$0.797733\pi$
$180$	3.96649	−	0.728270i	0.295645	−	0.0542820i
$181$	−2.61414			−0.194308			−0.0971538	−	0.995269i	$-0.530974\pi$
$181$	−2.61414			−0.194308			−0.0971538	+	0.995269i	$0.530974\pi$
$182$	−5.85365	−	10.1487i	−0.433901	−	0.752272i
$183$	−4.74327	+	4.74327i	−0.350633	+	0.350633i
$184$	1.14681	+	1.34292i	0.0845437	+	0.0990017i
$185$	−3.99423	+	10.0916i	−0.293661	+	0.741952i
$186$	19.0198	+	14.0746i	1.39460	+	1.03200i
$187$	−0.842138	+	0.225650i	−0.0615832	+	0.0165012i
$188$	12.4081	−	0.432734i	0.904954	−	0.0315604i
$189$	1.62515	−	10.8446i	0.118213	−	0.788825i
$190$	−12.6713	+	23.7365i	−0.919274	+	1.72203i
$191$	9.32935	−	16.1589i	0.675048	−	1.16922i	−0.301407	−	0.953496i	$-0.597456\pi$
$191$	9.32935	−	16.1589i	0.675048	−	1.16922i	0.976455	−	0.215722i	$-0.0692104\pi$
$192$	12.7856	−	9.28661i	0.922721	−	0.670203i
$193$	−17.2161	−	4.61304i	−1.23924	−	0.332054i	−0.421071	−	0.907028i	$-0.638346\pi$
$193$	−17.2161	−	4.61304i	−1.23924	−	0.332054i	−0.818172	+	0.574973i	$0.805012\pi$
$194$	−3.40464	−	0.387988i	−0.244439	−	0.0278559i
$195$	−13.7386	−	1.58802i	−0.983844	−	0.113720i
$196$	−12.1184	−	7.01023i	−0.865603	−	0.500730i
$197$	−2.72199	+	2.72199i	−0.193934	+	0.193934i	−0.797394	−	0.603460i	$-0.793788\pi$
$197$	−2.72199	+	2.72199i	−0.193934	+	0.193934i	0.603460	+	0.797394i	$0.293788\pi$
$198$	−3.99415	−	5.02157i	−0.283852	−	0.356867i
$199$	8.55844	+	14.8237i	0.606692	+	1.05082i	0.991782	+	0.127942i	$0.0408371\pi$
$199$	8.55844	+	14.8237i	0.606692	+	1.05082i	−0.385090	+	0.922879i	$0.625830\pi$
$200$	9.51951	+	10.4584i	0.673131	+	0.739523i
$201$	−9.33857	−	5.39163i	−0.658692	−	0.380296i
$202$	6.51472	−	16.5375i	0.458374	−	1.16357i
$203$	−4.19599	−	5.67530i	−0.294501	−	0.398328i
$204$	0.466899	−	0.500642i	0.0326895	−	0.0350520i
$205$	−0.0797801	+	0.107450i	−0.00557208	+	0.00750461i
$206$	−2.65021	−	1.96114i	−0.184649	−	0.136639i
$207$	−0.145721	+	0.543839i	−0.0101283	+	0.0377994i
$208$	−11.8428	+	4.07659i	−0.821149	+	0.282661i
$209$	42.8101			2.96123
$210$	−15.1692	+	6.55878i	−1.04678	+	0.452599i
$211$		−	24.8017i		−	1.70742i	−0.520747	−	0.853711i	$-0.674347\pi$
$211$		−	24.8017i		−	1.70742i	0.520747	−	0.853711i	$-0.325653\pi$
$212$	−7.67098	−	4.07918i	−0.526845	−	0.280159i
$213$	10.8414	+	2.90494i	0.742841	+	0.199044i
$214$	−13.1482	+	17.7680i	−0.898794	+	1.21459i
$215$	2.87832	+	19.4765i	0.196300	+	1.32829i
$216$	−11.0501	−	3.91390i	−0.751865	−	0.266307i
$217$	−20.5476	−	8.94412i	−1.39486	−	0.607166i
$218$	−4.04687	+	10.2729i	−0.274089	+	0.695768i
$219$	−5.27956	+	9.14447i	−0.356760	+	0.617926i
$220$	7.54644	−	21.1975i	0.508781	−	1.42913i
$221$	−0.469893	+	0.271293i	−0.0316084	+	0.0182491i
$222$	−10.6115	+	8.44036i	−0.712196	+	0.566480i
$223$	8.43910	+	8.43910i	0.565124	+	0.565124i	0.930758	−	0.365635i	$-0.119148\pi$
$223$	8.43910	+	8.43910i	0.565124	+	0.565124i	−0.365635	+	0.930758i	$0.619148\pi$
$224$	−9.82479	+	11.2904i	−0.656446	+	0.754373i
$225$	−1.02858	+	4.38991i	−0.0685722	+	0.292660i
$226$	7.59219	+	0.865196i	0.505025	+	0.0575520i
$227$	−4.25028	+	15.8623i	−0.282101	+	1.05282i	0.668831	+	0.743415i	$0.266795\pi$
$227$	−4.25028	+	15.8623i	−0.282101	+	1.05282i	−0.950932	+	0.309401i	$0.899872\pi$
$228$	−28.5074	+	17.8116i	−1.88795	+	1.17960i
$229$	3.68034	+	2.12485i	0.243204	+	0.140414i	0.616648	−	0.787239i	$-0.288490\pi$
$229$	3.68034	+	2.12485i	0.243204	+	0.140414i	−0.373445	+	0.927653i	$0.621823\pi$
$230$	−1.88908	+	0.574136i	−0.124562	+	0.0378574i
$231$	20.5716	+	16.3768i	1.35351	+	1.07751i
$232$	−6.81052	+	3.24788i	−0.447132	+	0.213234i
$233$	−0.645654	−	2.40961i	−0.0422982	−	0.157859i	0.941547	−	0.336883i	$-0.109373\pi$
$233$	−0.645654	−	2.40961i	−0.0422982	−	0.157859i	−0.983845	+	0.179024i	$0.942706\pi$
$234$	−3.20987	−	2.37529i	−0.209836	−	0.155278i
$235$	−5.10850	+	12.9069i	−0.333242	+	0.841955i
$236$	−5.74234	−	18.7854i	−0.373795	−	1.22283i
$237$	13.4945	+	13.4945i	0.876560	+	0.876560i
$238$	−0.324421	+	0.561367i	−0.0210291	+	0.0363880i
$239$		−	29.5702i		−	1.91274i	−0.292158	−	0.956370i	$-0.594373\pi$
$239$		−	29.5702i		−	1.91274i	0.292158	−	0.956370i	$-0.405627\pi$
$240$	3.79424	+	17.2553i	0.244917	+	1.11382i
$241$	−5.68943	+	3.28479i	−0.366488	+	0.211592i	−0.671923	−	0.740621i	$-0.734532\pi$
$241$	−5.68943	+	3.28479i	−0.366488	+	0.211592i	0.305435	+	0.952213i	$0.401198\pi$
$242$	−20.0209	+	2.99168i	−1.28699	+	0.192313i
$243$	−2.35038	−	8.77173i	−0.150777	−	0.562707i
$244$	−4.96709	−	4.63231i	−0.317985	−	0.296553i
$245$	12.6049	−	9.27986i	0.805299	−	0.592869i
$246$	−0.153325	+	0.0666636i	−0.00977566	+	0.00425031i
$247$	25.7347	−	6.89558i	1.63746	−	0.438755i
$248$	−13.5708	+	19.7428i	−0.861749	+	1.25367i
$249$	−2.91754	+	1.68444i	−0.184892	+	0.106747i
$250$	−14.9751	+	5.07414i	−0.947107	+	0.320917i
$251$	10.7742			0.680059			0.340029	−	0.940415i	$-0.389563\pi$
$251$	10.7742			0.680059			0.340029	+	0.940415i	$0.389563\pi$
$252$	−4.74075	−	0.542276i	−0.298639	−	0.0341602i
$253$	2.22127	+	2.22127i	0.139650	+	0.139650i
$254$	0.0465451	−	0.408438i	0.00292050	−	0.0256277i
$255$	0.304047	+	0.702390i	0.0190402	+	0.0439854i
$256$	9.84828	+	12.6100i	0.615518	+	0.788123i
$257$	1.34982	+	5.03758i	0.0841992	+	0.314236i	0.995161	−	0.0982542i	$-0.0313258\pi$
$257$	1.34982	+	5.03758i	0.0841992	+	0.314236i	−0.910962	+	0.412490i	$0.864659\pi$
$258$	−9.01494	+	22.8842i	−0.561246	+	1.42471i
$259$	7.99825	−	10.0469i	0.496987	−	0.624287i
$260$	1.12207	−	13.9581i	0.0695881	−	0.865645i
$261$	−2.08331	−	1.20280i	−0.128954	−	0.0744515i
$262$	3.40184	−	0.508328i	0.210166	−	0.0314046i
$263$	8.62398	+	2.31079i	0.531777	+	0.142489i	0.514709	−	0.857365i	$-0.327900\pi$
$263$	8.62398	+	2.31079i	0.531777	+	0.142489i	0.0170684	+	0.999854i	$0.494567\pi$
$264$	21.3761	−	18.2543i	1.31561	−	1.12348i
$265$	7.61182	−	6.03447i	0.467590	−	0.370695i
$266$	22.5215	−	22.5025i	1.38088	−	1.37972i
$267$	−10.6570	+	10.6570i	−0.652200	+	0.652200i
$268$	5.12621	−	9.63993i	0.313133	−	0.588852i
$269$	−15.7152	+	9.07316i	−0.958171	+	0.553201i	−0.895610	−	0.444841i	$-0.853260\pi$
$269$	−15.7152	+	9.07316i	−0.958171	+	0.553201i	−0.0625617	+	0.998041i	$0.519927\pi$
$270$	8.95442	−	9.57067i	0.544949	−	0.582452i
$271$	5.66505	+	3.27072i	0.344127	+	0.198682i	0.662096	−	0.749419i	$-0.269667\pi$
$271$	5.66505	+	3.27072i	0.344127	+	0.198682i	−0.317968	+	0.948101i	$0.603001\pi$
$272$	0.523075	+	0.454786i	0.0317161	+	0.0275754i
$273$	15.0042	+	6.53112i	0.908093	+	0.395281i
$274$	−13.3327	+	5.79686i	−0.805457	+	0.350201i
$275$	18.3423	+	17.2167i	1.10608	+	1.03820i
$276$	−2.40334	−	0.554970i	−0.144664	−	0.0334053i
$277$	19.5764	+	5.24547i	1.17623	+	0.315170i	0.793430	−	0.608661i	$-0.208293\pi$
$277$	19.5764	+	5.24547i	1.17623	+	0.315170i	0.382800	+	0.923831i	$0.374960\pi$
$278$	2.99382	−	2.38128i	0.179558	−	0.142820i
$279$	−7.63803			−0.457277
$280$	−7.17212	−	15.1182i	−0.428616	−	0.903487i
$281$	−3.75315			−0.223894			−0.111947	−	0.993714i	$-0.535709\pi$
$281$	−3.75315			−0.223894			−0.111947	+	0.993714i	$0.535709\pi$
$282$	−13.5718	+	10.7950i	−0.808188	+	0.642832i
$283$	0.00983654	+	0.00263569i	0.000584721	+	0.000156676i	0.259111	−	0.965847i	$-0.416570\pi$
$283$	0.00983654	+	0.00263569i	0.000584721	+	0.000156676i	−0.258527	+	0.966004i	$0.583237\pi$
$284$	−2.55691	+	11.0729i	−0.151725	+	0.657055i
$285$	−5.49435	−	37.1782i	−0.325457	−	2.20225i
$286$	−20.4319	+	8.88349i	−1.20816	+	0.525292i
$287$	0.127328	−	0.0941388i	0.00751591	−	0.00555684i
$288$	−1.53449	+	4.86485i	−0.0904208	+	0.286664i
$289$	−14.6964	−	8.48499i	−0.864496	−	0.499117i
$290$	−0.280468	−	8.43126i	−0.0164696	−	0.495101i
$291$	4.14495	−	2.39309i	0.242981	−	0.140285i
$292$	−9.43956	−	5.01966i	−0.552409	−	0.293753i
$293$	−11.9263	+	11.9263i	−0.696743	+	0.696743i	−0.963707	−	0.266964i	$-0.913980\pi$
$293$	−11.9263	+	11.9263i	−0.696743	+	0.696743i	0.266964	+	0.963707i	$0.413980\pi$
$294$	19.4305	−	2.19767i	1.13321	−	0.128171i
$295$	21.8168	+	2.52176i	1.27022	+	0.146823i
$296$	−8.91524	−	10.4399i	−0.518188	−	0.606804i
$297$	−20.1424	−	5.39713i	−1.16878	−	0.313173i
$298$	5.81660	−	0.869161i	0.336947	−	0.0503492i
$299$	1.69308	+	0.977498i	0.0979131	+	0.0565301i
$300$	−19.3774	−	3.83313i	−1.11875	−	0.221306i
$301$	3.45244	−	23.0379i	0.198995	−	1.32788i
$302$	1.87669	−	4.76394i	0.107992	−	0.274134i
$303$	6.42550	+	23.9803i	0.369135	+	1.37763i
$304$	−19.0295	−	28.2180i	−1.09142	−	1.61841i
$305$	6.96872	−	3.01658i	0.399028	−	0.172729i
$306$	−0.0250213	+	0.219565i	−0.00143037	+	0.0125517i
$307$	−1.70424	−	1.70424i	−0.0972661	−	0.0972661i	0.656799	−	0.754065i	$-0.271910\pi$
$307$	−1.70424	−	1.70424i	−0.0972661	−	0.0972661i	−0.754065	+	0.656799i	$0.771910\pi$
$308$	−15.8456	+	21.3942i	−0.902887	+	1.21905i
$309$	4.60494			0.261966
$310$	−14.1563	−	22.7383i	−0.804022	−	1.29145i
$311$	−4.91574	+	2.83811i	−0.278746	+	0.160934i	−0.632856	−	0.774270i	$-0.718117\pi$
$311$	−4.91574	+	2.83811i	−0.278746	+	0.160934i	0.354109	+	0.935204i	$0.384784\pi$
$312$	9.90961	−	14.4165i	0.561021	−	0.816171i
$313$	−6.00394	+	1.60875i	−0.339363	+	0.0909320i	−0.424476	−	0.905439i	$-0.639542\pi$
$313$	−6.00394	+	1.60875i	−0.339363	+	0.0909320i	0.0851129	+	0.996371i	$0.472875\pi$
$314$	−13.6446	+	5.93248i	−0.770011	+	0.334789i
$315$	2.67681	−	4.61472i	0.150821	−	0.260010i
$316$	−13.1788	+	14.1312i	−0.741364	+	0.794943i
$317$	−4.00530	−	14.9480i	−0.224960	−	0.839563i	−0.982420	−	0.186682i	$-0.940227\pi$
$317$	−4.00530	−	14.9480i	−0.224960	−	0.839563i	0.757460	−	0.652881i	$-0.226440\pi$
$318$	12.0018	−	1.79340i	0.673028	−	0.100569i
$319$	−11.6237	+	6.71095i	−0.650803	+	0.375741i
$320$	−17.3266	+	4.44831i	−0.968589	+	0.248668i
$321$		−	30.8732i		−	1.72317i
$322$	2.33614		0.000985436i	0.130188		5.49162e-5i
$323$	−1.04258	−	1.04258i	−0.0580105	−	0.0580105i
$324$	20.8326	−	6.36814i	1.15737	−	0.353785i
$325$	13.7994	+	7.39508i	0.765451	+	0.410205i
$326$	0.345560	+	0.255713i	0.0191388	+	0.0141626i
$327$	−3.99145	−	14.8963i	−0.220727	−	0.823766i
$328$	−0.0728674	−	0.152797i	−0.00402343	−	0.00843678i
$329$	10.2295	−	12.8498i	0.563972	−	0.708430i
$330$	9.13884	+	30.0695i	0.503076	+	1.65527i
$331$	6.42786	+	3.71113i	0.353307	+	0.203982i	0.666141	−	0.745826i	$-0.267945\pi$
$331$	6.42786	+	3.71113i	0.353307	+	0.203982i	−0.312834	+	0.949808i	$0.601278\pi$
$332$	−1.80744	−	2.89280i	−0.0991961	−	0.158763i
$333$	1.13283	−	4.22779i	0.0620788	−	0.231681i
$334$	28.6183	+	3.26131i	1.56593	+	0.178451i
$335$	7.58337	+	9.56558i	0.414324	+	0.522623i
$336$	1.65036	−	20.8392i	0.0900347	−	1.13687i
$337$	19.6101	+	19.6101i	1.06823	+	1.06823i	0.997495	+	0.0707352i	$0.0225345\pi$
$337$	19.6101	+	19.6101i	1.06823	+	1.06823i	0.0707352	+	0.997495i	$0.477465\pi$
$338$	3.53689	−	2.81324i	0.192382	−	0.153020i
$339$	−9.24304	+	5.33647i	−0.502013	+	0.289837i
$340$	−0.700016	+	0.332451i	−0.0379637	+	0.0180297i
$341$	−21.3080	+	36.9065i	−1.15389	+	1.99860i
$342$	3.97714	−	10.0959i	0.215059	−	0.545923i
$343$	−17.4654	+	6.16129i	−0.943040	+	0.332678i
$344$	−23.4746	−	8.31460i	−1.26567	−	0.448293i
$345$	1.64397	−	2.21414i	0.0885084	−	0.119205i
$346$	−7.69771	+	10.4024i	−0.413831	+	0.559234i
$347$	−31.8638	−	8.53787i	−1.71054	−	0.458337i	−0.734980	−	0.678088i	$-0.762809\pi$
$347$	−31.8638	−	8.53787i	−1.71054	−	0.458337i	−0.975556	+	0.219752i	$0.929475\pi$
$348$	4.94811	−	9.30502i	0.265247	−	0.498801i
$349$			20.4841i			1.09649i	0.836319	+	0.548243i	$0.184703\pi$
$349$			20.4841i			1.09649i	−0.836319	+	0.548243i	$0.815297\pi$
$350$	18.6992	−	0.584036i	0.999513	−	0.0312181i
$351$	−12.9776			−0.692695
$352$	19.2259	+	20.9861i	1.02474	+	1.11857i
$353$	−4.89719	+	18.2766i	−0.260651	+	0.972763i	0.704208	+	0.709994i	$0.251302\pi$
$353$	−4.89719	+	18.2766i	−0.260651	+	0.972763i	−0.964859	+	0.262769i	$0.915364\pi$
$354$	22.0549	+	16.3205i	1.17220	+	0.867427i
$355$	−10.2012	−	7.57425i	−0.541422	−	0.401999i
$356$	−11.1599	−	10.4077i	−0.591473	−	0.551608i
$357$	−0.102158	−	0.899822i	−0.00540678	−	0.0476236i
$358$	1.54799	−	3.92954i	0.0818138	−	0.207682i
$359$	−23.9735	−	13.8411i	−1.26527	−	0.730504i	−0.291181	−	0.956668i	$-0.594048\pi$
$359$	−23.9735	−	13.8411i	−1.26527	−	0.730504i	−0.974089	+	0.226164i	$0.927382\pi$
$360$	−4.29792	−	3.74896i	−0.226520	−	0.197588i
$361$	26.6992	+	46.2444i	1.40522	+	2.43392i
$362$	2.30134	+	2.89332i	0.120956	+	0.152069i
$363$	19.9931	−	19.9931i	1.04936	−	1.04936i
$364$	−6.07931	+	15.4131i	−0.318643	+	0.807868i
$365$	9.36676	−	7.42575i	0.490279	−	0.388681i
$366$	9.42554	+	1.07412i	0.492681	+	0.0561453i
$367$	7.29904	+	1.95577i	0.381007	+	0.102090i	0.444239	−	0.895908i	$-0.353474\pi$
$367$	7.29904	+	1.95577i	0.381007	+	0.102090i	−0.0632322	+	0.997999i	$0.520141\pi$
$368$	0.476758	−	2.45151i	0.0248527	−	0.127794i
$369$	0.0269853	−	0.0467399i	0.00140480	−	0.00243318i
$370$	14.6857	−	4.46332i	0.763471	−	0.232037i
$371$	−10.6953	+	4.20805i	−0.555271	+	0.218471i
$372$	−1.16628	−	33.4416i	−0.0604687	−	1.73386i
$373$	36.9710	−	9.90634i	1.91428	−	0.512931i	0.922316	−	0.386436i	$-0.126294\pi$
$373$	36.9710	−	9.90634i	1.91428	−	0.512931i	0.991967	−	0.126495i	$-0.0403727\pi$
$374$	0.991119	+	0.733425i	0.0512496	+	0.0379245i
$375$	12.5976	−	18.1389i	0.650539	−	0.936689i
$376$	−11.4023	−	13.3523i	−0.588031	−	0.688591i
$377$	−5.90647	+	5.90647i	−0.304199	+	0.304199i
$378$	−13.4334	+	7.74822i	−0.690939	+	0.398526i
$379$	19.5457			1.00400			0.501999	−	0.864868i	$-0.332598\pi$
$379$	19.5457			1.00400			0.501999	+	0.864868i	$0.332598\pi$
$380$	37.4266	−	6.87173i	1.91994	−	0.352512i
$381$	0.287087	+	0.497249i	0.0147079	+	0.0254748i
$382$	−26.0976	+	3.89971i	−1.33527	+	0.199526i
$383$	13.7588	−	3.68665i	0.703040	−	0.188379i	0.110448	−	0.993882i	$-0.464771\pi$
$383$	13.7588	−	3.68665i	0.703040	−	0.188379i	0.592592	+	0.805503i	$0.298105\pi$
$384$	−21.5341	−	5.97563i	−1.09891	−	0.304943i
$385$	−14.8305	−	25.8080i	−0.755831	−	1.31530i
$386$	10.0504	+	23.1158i	0.511552	+	1.17656i
$387$	−2.05496	−	7.66923i	−0.104460	−	0.389849i
$388$	2.56783	+	4.10980i	0.130362	+	0.208644i
$389$	−2.23852	−	3.87723i	−0.113498	−	0.196584i	0.803681	−	0.595061i	$-0.202872\pi$
$389$	−2.23852	−	3.87723i	−0.113498	−	0.196584i	−0.917178	+	0.398477i	$0.869539\pi$
$390$	10.3371	+	16.6039i	0.523439	+	0.840769i
$391$		−	0.108192i		−	0.00547149i
$392$	2.90951	+	19.5840i	0.146952	+	0.989144i
$393$	−3.39710	+	3.39710i	−0.171361	+	0.171361i
$394$	5.40898	+	0.616400i	0.272500	+	0.0310538i
$395$	−8.58208	−	19.8258i	−0.431812	−	0.997544i
$396$	−2.04163	+	8.84141i	−0.102596	+	0.444298i
$397$	15.0259	−	4.02619i	0.754130	−	0.202068i	0.138781	−	0.990323i	$-0.455682\pi$
$397$	15.0259	−	4.02619i	0.754130	−	0.202068i	0.615349	+	0.788255i	$0.289015\pi$
$398$	8.87238	−	22.5223i	0.444732	−	1.12894i
$399$	−6.59028	+	43.9766i	−0.329927	+	2.20158i
$400$	3.19490	−	19.7432i	0.159745	−	0.987158i
$401$	−11.9711	+	20.7345i	−0.597806	+	1.03543i	0.395338	+	0.918536i	$0.370627\pi$
$401$	−11.9711	+	20.7345i	−0.597806	+	1.03543i	−0.993144	+	0.116895i	$0.962706\pi$
$402$	2.25372	+	15.0824i	0.112405	+	0.752240i
$403$	−6.86431	+	25.6179i	−0.341936	+	1.27612i
$404$	−24.0388	+	7.34820i	−1.19597	+	0.365586i
$405$	−2.79658	+	24.1944i	−0.138963	+	1.20223i
$406$	−2.58747	+	9.64032i	−0.128414	+	0.478441i
$407$	−17.2681	−	17.2681i	−0.855948	−	0.855948i
$408$	−0.965140	−	0.0760246i	−0.0477815	−	0.00376378i
$409$	−16.5509	−	28.6671i	−0.818391	−	1.41750i	−0.906867	−	0.421417i	$-0.861533\pi$
$409$	−16.5509	−	28.6671i	−0.818391	−	1.41750i	0.0884757	−	0.996078i	$-0.471800\pi$
$410$	0.189159	−	0.00629241i	0.00934188	−	0.000310760i
$411$	10.1532	−	17.5858i	0.500818	−	0.867443i
$412$	0.162508	+	4.65972i	0.00800620	+	0.229568i
$413$	−23.8265	−	10.3714i	−1.17242	−	0.510341i
$414$	0.730203	−	0.317481i	0.0358875	−	0.0156034i
$415$	3.77267	−	0.557541i	0.185193	−	0.0273686i
$416$	14.9377	+	9.51874i	0.732379	+	0.466695i
$417$	−1.38288	+	5.16099i	−0.0677201	+	0.252735i
$418$	−37.6876	−	47.3820i	−1.84336	−	2.31753i
$419$		−	33.5730i		−	1.64015i	−0.572257	−	0.820074i	$-0.693932\pi$
$419$		−	33.5730i		−	1.64015i	0.572257	−	0.820074i	$-0.306068\pi$
$420$	20.6134	+	11.0153i	1.00583	+	0.537489i
$421$			16.1870i			0.788908i	0.918916	+	0.394454i	$0.129066\pi$
$421$			16.1870i			0.788908i	−0.918916	+	0.394454i	$0.870934\pi$
$422$	−27.4504	+	21.8340i	−1.33627	+	1.06286i
$423$	1.44886	−	5.40722i	0.0704460	−	0.262908i
$424$	2.23828	+	12.0813i	0.108700	+	0.586719i
$425$	−0.0274132	−	0.865986i	−0.00132974	−	0.0420065i
$426$	−6.32898	−	14.5566i	−0.306640	−	0.705268i
$427$	−8.92752	+	1.01355i	−0.432033	+	0.0490493i
$428$	31.2404	−	1.08951i	1.51006	−	0.0526636i
$429$	15.5594	−	26.9496i	0.751213	−	1.30114i
$430$	19.0226	−	20.3317i	0.917350	−	0.980482i
$431$	6.56164	+	11.3651i	0.316063	+	0.547437i	0.979663	−	0.200650i	$-0.0643055\pi$
$431$	6.56164	+	11.3651i	0.316063	+	0.547437i	−0.663600	+	0.748088i	$0.730972\pi$
$432$	5.39600	+	15.6758i	0.259615	+	0.754201i
$433$	4.09338	+	4.09338i	0.196715	+	0.196715i	0.798590	−	0.601875i	$-0.205579\pi$
$433$	4.09338	+	4.09338i	0.196715	+	0.196715i	−0.601875	+	0.798590i	$0.705579\pi$
$434$	8.18967	+	30.6159i	0.393117	+	1.46961i
$435$	7.31991	+	9.23325i	0.350963	+	0.442701i
$436$	14.9326	−	4.56462i	0.715143	−	0.218606i
$437$	−1.37498	+	5.13149i	−0.0657742	+	0.245473i
$438$	14.7689	−	2.20688i	0.705684	−	0.105449i
$439$	5.24940	−	9.09223i	0.250540	−	0.433948i	−0.713135	−	0.701027i	$-0.752725\pi$
$439$	5.24940	−	9.09223i	0.250540	−	0.433948i	0.963675	+	0.267079i	$0.0860585\pi$
$440$	−30.1047	+	10.3087i	−1.43519	+	0.491448i
$441$	−4.61997	+	4.30131i	−0.219999	+	0.204824i
$442$	0.713933	+	0.281244i	0.0339583	+	0.0133774i
$443$	9.85214	−	2.63987i	0.468090	−	0.125424i	−0.0170618	−	0.999854i	$-0.505431\pi$
$443$	9.85214	−	2.63987i	0.468090	−	0.125424i	0.485151	+	0.874430i	$0.338765\pi$
$444$	18.6835	+	4.31432i	0.886679	+	0.204749i
$445$	15.6571	−	6.77756i	0.742217	−	0.321287i
$446$	1.91105	−	16.7697i	0.0904908	−	0.794066i
$447$	−5.80851	+	5.80851i	−0.274733	+	0.274733i
$448$	21.1454	+	0.934579i	0.999025	+	0.0441547i
$449$			20.1351i			0.950232i	0.879923	+	0.475116i	$0.157594\pi$
$449$			20.1351i			0.950232i	−0.879923	+	0.475116i	$0.842406\pi$
$450$	5.76423	−	2.72620i	0.271729	−	0.128514i
$451$	−0.150563	−	0.260782i	−0.00708973	−	0.0122798i
$452$	−5.72614	−	9.16467i	−0.269335	−	0.431070i
$453$	1.85099	+	6.90799i	0.0869671	+	0.324566i
$454$	21.2980	−	9.26005i	0.999564	−	0.434596i
$455$	−13.0721	−	13.1253i	−0.612830	−	0.615323i
$456$	44.8101	+	15.8715i	2.09842	+	0.743253i
$457$	27.9073	−	7.47774i	1.30545	−	0.349794i	0.461941	−	0.886911i	$-0.347153\pi$
$457$	27.9073	−	7.47774i	1.30545	−	0.349794i	0.843508	+	0.537117i	$0.180487\pi$
$458$	−0.888195	−	5.94398i	−0.0415026	−	0.277744i
$459$	0.359099	+	0.621977i	0.0167613	+	0.0290314i
$460$	2.29849	+	1.58539i	0.107168	+	0.0739192i
$461$	−16.2958			−0.758972			−0.379486	−	0.925197i	$-0.623899\pi$
$461$	−16.2958			−0.758972			−0.379486	+	0.925197i	$0.623899\pi$
$462$	0.0156857	−	37.1857i	0.000729766	−	1.73003i
$463$	10.4765	−	10.4765i	0.486885	−	0.486885i	−0.420437	−	0.907322i	$-0.638123\pi$
$463$	10.4765	−	10.4765i	0.486885	−	0.486885i	0.907322	+	0.420437i	$0.138123\pi$
$464$	9.59033	+	4.67860i	0.445220	+	0.217198i
$465$	34.7860	+	13.7681i	1.61316	+	0.638482i
$466$	−2.09855	+	2.83589i	−0.0972134	+	0.131370i
$467$	27.9482	−	7.48870i	1.29329	−	0.346536i	0.454380	−	0.890808i	$-0.349861\pi$
$467$	27.9482	−	7.48870i	1.29329	−	0.346536i	0.838909	+	0.544272i	$0.183194\pi$
$468$	0.196826	+	5.64374i	0.00909829	+	0.260882i
$469$	−5.28815	−	13.4405i	−0.244184	−	0.620623i
$470$	18.7826	−	5.70846i	0.866374	−	0.263311i
$471$	10.3907	−	17.9972i	0.478778	−	0.829268i
$472$	−15.7364	+	22.8932i	−0.724325	+	1.05375i
$473$	−42.7900	−	11.4655i	−1.96749	−	0.527186i
$474$	3.05585	−	26.8154i	0.140360	−	1.23167i
$475$	−9.70539	+	41.4218i	−0.445314	+	1.90056i
$476$	0.906921	−	0.135128i	0.0415686	−	0.00619358i
$477$	−2.76995	+	2.76995i	−0.126827	+	0.126827i
$478$	−32.7282	+	26.0320i	−1.49695	+	1.19067i
$479$	−1.32604	−	2.29677i	−0.0605885	−	0.104942i	0.834140	−	0.551553i	$-0.185964\pi$
$479$	−1.32604	−	2.29677i	−0.0605885	−	0.104942i	−0.894729	+	0.446610i	$0.852631\pi$
$480$	15.7578	−	19.3900i	0.719243	−	0.885029i
$481$	−13.1619	−	7.59904i	−0.600132	−	0.346486i
$482$	8.64425	+	3.40529i	0.393735	+	0.155107i
$483$	−2.62375	+	1.93985i	−0.119385	+	0.0882662i
$484$	20.9365	+	19.5254i	0.951658	+	0.887516i
$485$	−5.35984	+	0.792099i	−0.243378	+	0.0359674i
$486$	−7.63937	+	10.3235i	−0.346529	+	0.468284i
$487$	8.17655	−	30.5153i	0.370515	−	1.38278i	−0.489274	−	0.872130i	$-0.662738\pi$
$487$	8.17655	−	30.5153i	0.370515	−	1.38278i	0.859789	−	0.510650i	$-0.170595\pi$
$488$	−0.754273	+	9.57557i	−0.0341443	+	0.433466i
$489$	−0.600436			−0.0271527
$490$	−21.3676	−	5.78161i	−0.965288	−	0.261186i
$491$			11.9115i			0.537558i	0.963202	+	0.268779i	$0.0866201\pi$
$491$			11.9115i			0.537558i	−0.963202	+	0.268779i	$0.913380\pi$
$492$	0.208762	+	0.111013i	0.00941171	+	0.00500485i
$493$	0.446513	+	0.119643i	0.0201100	+	0.00538845i
$494$	−30.2873	−	22.4125i	−1.36269	−	1.00839i
$495$	−8.14537	−	6.04784i	−0.366107	−	0.271830i
$496$	33.7982	−	2.36030i	1.51759	−	0.105981i
$497$	8.93745	+	12.0884i	0.400899	+	0.542237i
$498$	4.43277	+	1.74623i	0.198637	+	0.0782505i
$499$	−14.9459	+	25.8871i	−0.669071	+	1.15886i	0.309094	+	0.951032i	$0.399974\pi$
$499$	−14.9459	+	25.8871i	−0.669071	+	1.15886i	−0.978164	+	0.207833i	$0.933359\pi$
$500$	18.7992	+	12.1074i	0.840728	+	0.541458i
$501$	−34.8411	+	20.1155i	−1.55659	+	0.898696i
$502$	−9.48496	−	11.9248i	−0.423335	−	0.532229i
$503$	−27.3933	−	27.3933i	−1.22141	−	1.22141i	−0.967131	−	0.254278i	$-0.918162\pi$
$503$	−27.3933	−	27.3933i	−1.22141	−	1.22141i	−0.254278	−	0.967131i	$-0.581838\pi$
$504$	3.57330	+	5.72443i	0.159167	+	0.254986i
$505$	3.22698	−	27.9179i	0.143599	−	1.24233i
$506$	0.503011	−	4.41398i	0.0223616	−	0.196225i
$507$	−1.63373	+	6.09717i	−0.0725566	+	0.270785i
$508$	−0.493033	+	0.308050i	−0.0218748	+	0.0136675i
$509$	18.6643	+	10.7758i	0.827281	+	0.477631i	0.852921	−	0.522040i	$-0.174829\pi$
$509$	18.6643	+	10.7758i	0.827281	+	0.477631i	−0.0256399	+	0.999671i	$0.508162\pi$
$510$	0.509736	−	0.954862i	0.0225715	−	0.0422820i
$511$	−13.1611	+	5.17824i	−0.582213	+	0.229072i
$512$	5.28678	−	22.0011i	0.233645	−	0.972322i
$513$	−9.12738	−	34.0639i	−0.402984	−	1.50396i
$514$	4.38727	−	5.92877i	0.193514	−	0.261507i
$515$	−4.84704	−	1.91844i	−0.213586	−	0.0845364i
$516$	33.2644	−	10.1683i	1.46438	−	0.447634i
$517$	−22.0854	−	22.0854i	−0.971316	−	0.971316i
$518$	−18.1611	−	0.00766075i	−0.797953	−	0.000336594i
$519$		−	18.0749i		−	0.793399i
$520$	−16.4366	+	11.0460i	−0.720791	+	0.484400i
$521$	10.1783	−	5.87644i	0.445919	−	0.257451i	−0.260186	−	0.965558i	$-0.583784\pi$
$521$	10.1783	−	5.87644i	0.445919	−	0.257451i	0.706105	+	0.708107i	$0.250451\pi$
$522$	0.502776	+	3.36468i	0.0220059	+	0.147268i
$523$	−3.59888	−	13.4312i	−0.157368	−	0.587305i	−0.998891	−	0.0470839i	$-0.985007\pi$
$523$	−3.59888	−	13.4312i	−0.157368	−	0.587305i	0.841523	−	0.540221i	$-0.181659\pi$
$524$	−3.55740	−	3.31763i	−0.155406	−	0.144931i
$525$	−20.5094	+	16.1917i	−0.895105	+	0.706664i
$526$	−5.03449	−	11.5793i	−0.219514	−	0.504880i
$527$	1.41773	−	0.379879i	0.0617571	−	0.0165478i
$528$	−39.0221	−	7.58882i	−1.69822	−	0.330261i
$529$	19.5810	−	11.3051i	0.851347	−	0.491526i
$530$	−13.3799	−	3.11231i	−0.581187	−	0.135190i
$531$	−8.85685			−0.384355
$532$	−44.7323	−	5.11675i	−1.93939	−	0.221839i
$533$	−0.132514	−	0.132514i	−0.00573982	−	0.00573982i
$534$	21.1770	+	2.41330i	0.916418	+	0.104434i
$535$	−12.8619	+	32.4963i	−0.556069	+	1.40494i
$536$	−15.1822	+	2.81279i	−0.655773	+	0.121494i
$537$	1.52679	+	5.69805i	0.0658858	+	0.245889i
$538$	23.8769	+	9.40599i	1.02941	+	0.405521i
$539$	7.89521	+	34.3228i	0.340071	+	1.47839i
$540$	−18.4757	−	1.48524i	−0.795069	−	0.0639146i
$541$	12.2164	+	7.05312i	0.525222	+	0.303237i	0.739069	−	0.673630i	$-0.235266\pi$
$541$	12.2164	+	7.05312i	0.525222	+	0.303237i	−0.213847	+	0.976867i	$0.568599\pi$
$542$	−1.36717	−	9.14941i	−0.0587252	−	0.393001i
$543$	−4.98773	−	1.33646i	−0.214044	−	0.0573529i
$544$	0.0428692	−	0.979304i	0.00183800	−	0.0419873i
$545$	−2.00456	+	17.3423i	−0.0858659	+	0.742863i
$546$	−5.98021	−	22.3562i	−0.255929	−	0.956755i
$547$	12.1958	−	12.1958i	0.521453	−	0.521453i	−0.396557	−	0.918010i	$-0.629795\pi$
$547$	12.1958	−	12.1958i	0.521453	−	0.521453i	0.918010	+	0.396557i	$0.129795\pi$
$548$	18.1533	+	9.65333i	0.775470	+	0.412370i
$549$	−2.65207	+	1.53117i	−0.113187	+	0.0653488i
$550$	2.90779	−	35.4577i	0.123989	−	1.51192i
$551$	−19.6575	−	11.3493i	−0.837437	−	0.483494i
$552$	1.50153	+	3.14857i	0.0639092	+	0.134012i
$553$	2.88353	+	25.3985i	0.122620	+	1.08006i
$554$	−11.4283	−	26.2849i	−0.485541	−	1.11674i
$555$	−12.7802	+	17.2126i	−0.542488	+	0.730636i
$556$	−5.27119	−	1.21720i	−0.223548	−	0.0516209i
$557$	−14.5463	−	3.89766i	−0.616344	−	0.165149i	−0.0628790	−	0.998021i	$-0.520028\pi$
$557$	−14.5463	−	3.89766i	−0.616344	−	0.165149i	−0.553465	+	0.832872i	$0.686695\pi$
$558$	6.72409	+	8.45373i	0.284653	+	0.357875i
$559$	−27.5694			−1.16606
$560$	−10.4188	+	21.2473i	−0.440277	+	0.897862i
$561$	−1.72215			−0.0727090
$562$	3.30406	+	4.15396i	0.139373	+	0.175224i
$563$	18.1742	+	4.86975i	0.765949	+	0.205236i	0.620581	−	0.784142i	$-0.286897\pi$
$563$	18.1742	+	4.86975i	0.765949	+	0.205236i	0.145368	+	0.989378i	$0.453563\pi$
$564$	23.8957	+	5.51790i	1.00619	+	0.232345i
$565$	11.9522	−	1.76634i	0.502832	−	0.0743107i
$566$	−0.00574236	−	0.0132073i	−0.000241369	−	0.000555146i
$567$	11.5016	−	26.4231i	0.483023	−	1.10966i
$568$	14.5064	−	6.91797i	0.608674	−	0.290271i
$569$	18.4080	+	10.6279i	0.771703	+	0.445543i	0.833482	−	0.552547i	$-0.186344\pi$
$569$	18.4080	+	10.6279i	0.771703	+	0.445543i	−0.0617790	+	0.998090i	$0.519677\pi$
$570$	−36.3117	+	38.8107i	−1.52093	+	1.62560i
$571$	11.7286	−	6.77148i	0.490825	−	0.283378i	−0.234092	−	0.972214i	$-0.575212\pi$
$571$	11.7286	−	6.77148i	0.490825	−	0.283378i	0.724916	+	0.688837i	$0.241878\pi$
$572$	27.8193	+	14.7934i	1.16318	+	0.618543i
$573$	26.0613	−	26.0613i	1.08873	−	1.08873i
$574$	−0.216284	−	0.0580510i	−0.00902753	−	0.00242300i
$575$	−2.65282	+	1.64566i	−0.110630	+	0.0686288i
$576$	6.73528	−	2.58437i	0.280637	−	0.107682i
$577$	19.0619	+	5.10762i	0.793557	+	0.212633i	0.632753	−	0.774353i	$-0.281925\pi$
$577$	19.0619	+	5.10762i	0.793557	+	0.212633i	0.160804	+	0.986986i	$0.448591\pi$
$578$	3.54676	+	23.7356i	0.147526	+	0.987272i
$579$	−30.4896	−	17.6032i	−1.26711	−	0.731564i
$580$	−9.08477	+	7.73282i	−0.377225	+	0.321088i
$581$	−4.46254	−	0.668752i	−0.185137	−	0.0277445i
$582$	−6.29763	−	2.48087i	−0.261045	−	0.102835i
$583$	5.65684	+	21.1116i	0.234282	+	0.874354i
$584$	2.75433	+	14.8667i	0.113975	+	0.615188i
$585$	−5.87062	−	2.32357i	−0.242720	−	0.0960677i
$586$	23.6992	+	2.70073i	0.979007	+	0.111566i
$587$	−16.3010	−	16.3010i	−0.672816	−	0.672816i	0.285549	−	0.958364i	$-0.407824\pi$
$587$	−16.3010	−	16.3010i	−0.672816	−	0.672816i	−0.958364	+	0.285549i	$0.907824\pi$
$588$	−19.5378	−	19.5708i	−0.805727	−	0.807088i
$589$	−72.0701			−2.96960
$590$	−16.4152	−	26.3668i	−0.675804	−	1.08550i
$591$	−6.58511	+	3.80192i	−0.270875	+	0.156390i
$592$	−3.70630	+	19.0580i	−0.152328	+	0.783279i
$593$	21.3654	−	5.72484i	0.877371	−	0.235091i	0.208099	−	0.978108i	$-0.433272\pi$
$593$	21.3654	−	5.72484i	0.877371	−	0.235091i	0.669273	+	0.743017i	$0.266606\pi$
$594$	11.7587	+	27.0448i	0.482465	+	1.10966i
$595$	−0.267341	+	0.989689i	−0.0109599	+	0.0405733i
$596$	−6.08259	−	5.67263i	−0.249153	−	0.232360i
$597$	8.75087	+	32.6587i	0.358149	+	1.33663i
$598$	−0.408598	−	2.73442i	−0.0167088	−	0.111819i
$599$	−3.94887	+	2.27988i	−0.161347	+	0.0931535i	−0.578499	−	0.815683i	$-0.696361\pi$
$599$	−3.94887	+	2.27988i	−0.161347	+	0.0931535i	0.417153	+	0.908836i	$0.363028\pi$
$600$	12.8163	+	24.8213i	0.523222	+	1.01332i
$601$		−	9.22658i		−	0.376360i	−0.982135	−	0.188180i	$-0.939741\pi$
$601$		−	9.22658i		−	0.376360i	0.982135	−	0.188180i	$-0.0602588\pi$
$602$	−28.5376	+	16.4601i	−1.16311	+	0.670866i
$603$	−3.48093	−	3.48093i	−0.141754	−	0.141754i
$604$	−6.92485	+	2.11679i	−0.281768	+	0.0861311i
$605$	−29.3734	+	12.7150i	−1.19420	+	0.516939i
$606$	20.8846	−	28.2226i	0.848380	−	1.14646i
$607$	−1.80594	−	6.73987i	−0.0733010	−	0.273563i	0.919542	−	0.392992i	$-0.128560\pi$
$607$	−1.80594	−	6.73987i	−0.0733010	−	0.273563i	−0.992843	+	0.119429i	$0.961893\pi$
$608$	−14.4790	+	45.9033i	−0.587201	+	1.86162i
$609$	−5.10443	−	12.9735i	−0.206842	−	0.525714i
$610$	−9.47360	−	5.05732i	−0.383575	−	0.204765i
$611$	−16.8337	−	9.71895i	−0.681020	−	0.393187i
$612$	0.265040	−	0.165599i	0.0107136	−	0.00669393i
$613$	−5.68372	+	21.2119i	−0.229563	+	0.856742i	0.750961	+	0.660346i	$0.229590\pi$
$613$	−5.68372	+	21.2119i	−0.229563	+	0.856742i	−0.980525	+	0.196396i	$0.937076\pi$
$614$	−0.385928	+	3.38656i	−0.0155748	+	0.136670i
$615$	−0.207152	+	0.164225i	−0.00835316	+	0.00662219i
$616$	37.6286	−	1.29641i	1.51610	−	0.0522338i
$617$	19.3487	+	19.3487i	0.778949	+	0.778949i	0.979652	−	0.200703i	$-0.0643227\pi$
$617$	19.3487	+	19.3487i	0.778949	+	0.778949i	−0.200703	+	0.979652i	$0.564323\pi$
$618$	−4.05392	−	5.09672i	−0.163073	−	0.205020i
$619$	38.1470	−	22.0242i	1.53326	−	0.885226i	0.534048	−	0.845454i	$-0.320670\pi$
$619$	38.1470	−	22.0242i	1.53326	−	0.885226i	0.999209	−	0.0397726i	$-0.0126634\pi$
$620$	−12.7043	+	35.6856i	−0.510218	+	1.43317i
$621$	1.29387	−	2.24105i	0.0519213	−	0.0899302i
$622$	7.46875	+	2.94221i	0.299469	+	0.117972i
$623$	−20.0581	+	2.27722i	−0.803609	+	0.0912349i
$624$	−24.6799	+	1.72353i	−0.987988	+	0.0689963i
$625$	−20.8167	+	13.8443i	−0.832668	+	0.553773i
$626$	7.06609	+	5.22888i	0.282418	+	0.208988i
$627$	81.6808	+	21.8863i	3.26202	+	0.874055i
$628$	18.5780	+	9.87919i	0.741343	+	0.394222i
$629$			0.841079i			0.0335360i
$630$	−7.46407	+	1.09985i	−0.297375	+	0.0438192i
$631$	−42.3809			−1.68716			−0.843579	−	0.537006i	$-0.819555\pi$
$631$	−42.3809			−1.68716			−0.843579	+	0.537006i	$0.819555\pi$
$632$	27.2422	+	2.14588i	1.08364	+	0.0853587i
$633$	12.6797	−	47.3212i	0.503972	−	1.88085i
$634$	−13.0183	+	17.5924i	−0.517024	+	0.698684i
$635$	−0.0950243	−	0.642993i	−0.00377092	−	0.0255164i
$636$	−12.5506	−	11.7047i	−0.497665	−	0.464123i
$637$	10.2746	+	19.3610i	0.407095	+	0.767110i
$638$	17.6605	+	6.95712i	0.699186	+	0.275435i
$639$	4.43744	+	2.56196i	0.175543	+	0.101350i
$640$	20.1768	+	15.2610i	0.797557	+	0.603244i
$641$	10.0022	+	17.3243i	0.395062	+	0.684268i	0.993109	−	0.117193i	$-0.0373896\pi$
$641$	10.0022	+	17.3243i	0.395062	+	0.684268i	−0.598047	+	0.801461i	$0.704056\pi$
$642$	−34.1703	+	27.1790i	−1.34859	+	1.07267i
$643$	−2.82880	+	2.82880i	−0.111557	+	0.111557i	−0.760682	−	0.649125i	$-0.775135\pi$
$643$	−2.82880	+	2.82880i	−0.111557	+	0.111557i	0.649125	+	0.760682i	$0.275135\pi$
$644$	−2.05552	−	2.58650i	−0.0809987	−	0.101922i
$645$	−4.46543	+	38.6323i	−0.175826	+	1.52115i
$646$	−0.236093	+	2.07174i	−0.00928896	+	0.0815116i
$647$	37.5378	+	10.0582i	1.47576	+	0.395430i	0.904903	−	0.425618i	$-0.139943\pi$
$647$	37.5378	+	10.0582i	1.47576	+	0.395430i	0.570860	+	0.821047i	$0.306610\pi$
$648$	−25.3881	−	17.4513i	−0.997339	−	0.685552i
$649$	−24.7081	+	42.7957i	−0.969879	+	1.67988i
$650$	−3.96333	−	21.7833i	−0.155455	−	0.854410i
$651$	−34.6319	−	27.5700i	−1.35733	−	1.08055i
$652$	−0.0211894	−	0.607579i	−0.000829840	−	0.0237946i
$653$	−7.96831	+	2.13510i	−0.311824	+	0.0835530i	−0.411337	−	0.911483i	$-0.634938\pi$
$653$	−7.96831	+	2.13510i	−0.311824	+	0.0835530i	0.0995131	+	0.995036i	$0.468271\pi$
$654$	−12.9733	+	17.5316i	−0.507296	+	0.685538i
$655$	4.99095	−	2.16046i	0.195013	−	0.0844161i
$656$	−0.104966	+	0.215163i	−0.00409824	+	0.00840070i
$657$	−3.40858	+	3.40858i	−0.132981	+	0.132981i
$658$	−23.2275	−	0.00979788i	−0.905504	−	0.000381961i
$659$	20.8260			0.811268			0.405634	−	0.914036i	$-0.367051\pi$
$659$	20.8260			0.811268			0.405634	+	0.914036i	$0.367051\pi$
$660$	25.2355	−	36.5863i	0.982291	−	1.42412i
$661$	−20.5122	−	35.5282i	−0.797832	−	1.38189i	−0.921025	−	0.389502i	$-0.872647\pi$
$661$	−20.5122	−	35.5282i	−0.797832	−	1.38189i	0.123194	−	0.992383i	$-0.460686\pi$
$662$	−1.55127	−	10.3814i	−0.0602917	−	0.403484i
$663$	−1.03524	+	0.277393i	−0.0402055	+	0.0107730i
$664$	−1.61057	+	4.54712i	−0.0625023	+	0.176463i
$665$	25.2576	−	43.5431i	0.979447	−	1.68853i
$666$	−5.67657	+	2.46809i	−0.219963	+	0.0956366i
$667$	−0.431086	−	1.60884i	−0.0166917	−	0.0622944i
$668$	−21.5844	−	34.5457i	−0.835124	−	1.33661i
$669$	11.7872	+	20.4161i	0.455720	+	0.789331i
$670$	3.91117	−	16.8142i	0.151102	−	0.649590i
$671$			17.0862i			0.659604i
$672$	−24.5176	+	16.5191i	−0.945789	+	0.637237i
$673$	18.4235	−	18.4235i	0.710174	−	0.710174i	−0.256398	−	0.966571i	$-0.582536\pi$
$673$	18.4235	−	18.4235i	0.710174	−	0.710174i	0.966571	+	0.256398i	$0.0825356\pi$
$674$	4.44074	−	38.9680i	0.171051	−	1.50099i
$675$	9.78855	−	18.2656i	0.376761	−	0.703044i
$676$	−6.22736	−	1.43800i	−0.239514	−	0.0553076i
$677$	−12.1562	+	3.25724i	−0.467200	+	0.125186i	−0.484736	−	0.874660i	$-0.661084\pi$
$677$	−12.1562	+	3.25724i	−0.467200	+	0.125186i	0.0175361	+	0.999846i	$0.494418\pi$
$678$	14.0434	+	5.53222i	0.539335	+	0.212464i
$679$	6.33993	+	0.950095i	0.243304	+	0.0364613i
$680$	0.984210	+	0.482103i	0.0377427	+	0.0184878i
$681$	−16.2189	+	28.0920i	−0.621510	+	1.07649i
$682$	59.6062	−	8.90682i	2.28244	−	0.341060i
$683$	1.34674	−	5.02610i	0.0515315	−	0.192318i	−0.935362	−	0.353692i	$-0.884926\pi$
$683$	1.34674	−	5.02610i	0.0515315	−	0.192318i	0.986893	+	0.161374i	$0.0515926\pi$
$684$	−14.6753	+	4.48597i	−0.561125	+	0.171525i
$685$	−18.0133	+	14.2805i	−0.688252	+	0.545630i
$686$	22.1948	+	13.9065i	0.847401	+	0.530953i
$687$	5.93571	+	5.93571i	0.226462	+	0.226462i
$688$	11.4632	+	33.3013i	0.437029	+	1.26960i
$689$	6.80106	+	11.7798i	0.259100	+	0.448774i
$690$	−3.89785	+	0.129663i	−0.148389	+	0.00493619i
$691$	−13.3087	+	23.0514i	−0.506287	+	0.876915i	0.493686	+	0.869640i	$0.335649\pi$
$691$	−13.3087	+	23.0514i	−0.506287	+	0.876915i	−0.999974	+	0.00727515i	$0.997684\pi$
$692$	18.2899	−	0.637862i	0.695278	−	0.0242479i
$693$	7.13632	+	9.65224i	0.271087	+	0.366658i
$694$	18.6014	+	42.7829i	0.706099	+	1.62402i
$695$	3.60568	−	4.85621i	0.136771	−	0.184207i
$696$	−14.6548	+	2.71507i	−0.555488	+	0.102914i
$697$	−0.00268424	+	0.0100177i	−0.000101673	+	0.000379448i
$698$	22.6717	−	18.0330i	0.858135	−	0.682560i
$699$		−	4.92758i		−	0.186378i
$700$	−17.1081	−	20.1820i	−0.646625	−	0.762808i
$701$		−	32.3344i		−	1.22126i	−0.791918	−	0.610628i	$-0.790917\pi$
$701$		−	32.3344i		−	1.22126i	0.791918	−	0.610628i	$-0.209083\pi$
$702$	11.4248	+	14.3636i	0.431200	+	0.542119i
$703$	10.6891	−	39.8921i	0.403145	−	1.50456i
$704$	6.30201	−	39.7541i	0.237516	−	1.49829i
$705$	−16.3455	+	22.0145i	−0.615606	+	0.829113i
$706$	24.5396	−	10.6695i	0.923561	−	0.401551i
$707$	−13.2717	+	30.4896i	−0.499134	+	1.14668i
$708$	−1.35238	−	38.7779i	−0.0508257	−	1.45736i
$709$	14.3423	−	24.8416i	0.538636	−	0.932944i	−0.460342	−	0.887742i	$-0.652273\pi$
$709$	14.3423	−	24.8416i	0.538636	−	0.932944i	0.998978	−	0.0452028i	$-0.0143934\pi$
$710$	0.597395	+	17.9585i	0.0224198	+	0.673972i
$711$	4.35614	+	7.54505i	0.163368	+	0.282961i
$712$	−1.69468	+	21.5141i	−0.0635107	+	0.806274i
$713$	−3.73948	−	3.73948i	−0.140045	−	0.140045i
$714$	−0.905984	+	0.905220i	−0.0339056	+	0.0338770i
$715$	−27.6047	+	21.8844i	−1.03236	+	0.818429i
$716$	−5.71195	+	1.74603i	−0.213466	+	0.0652524i
$717$	15.1176	−	56.4195i	0.564575	−	2.10702i
$718$	5.78563	+	38.7186i	0.215918	+	1.44497i
$719$	17.2640	−	29.9021i	0.643839	−	1.11516i	−0.340729	−	0.940161i	$-0.610674\pi$
$719$	17.2640	−	29.9021i	0.643839	−	1.11516i	0.984568	−	0.175000i	$-0.0559927\pi$
$720$	−0.365691	+	8.05729i	−0.0136285	+	0.300277i
$721$	4.82557	+	3.84158i	0.179714	+	0.143068i
$722$	27.6786	−	70.2615i	1.03009	−	2.61486i
$723$	−12.5346	+	3.35865i	−0.466169	+	0.124910i
$724$	1.17634	−	5.09423i	0.0437183	−	0.189326i
$725$	−3.85814	−	12.7682i	−0.143288	−	0.474199i
$726$	−39.7290	−	4.52747i	−1.47448	−	0.168030i
$727$	−25.1216	+	25.1216i	−0.931707	+	0.931707i	−0.997813	−	0.0661056i	$-0.978943\pi$
$727$	−25.1216	+	25.1216i	−0.931707	+	0.931707i	0.0661056	+	0.997813i	$0.478943\pi$
$728$	22.4111	−	6.84030i	0.830609	−	0.253518i
$729$			14.7384i			0.545867i
$730$	−16.4647	−	3.82988i	−0.609388	−	0.141750i
$731$	0.762861	+	1.32131i	0.0282154	+	0.0488706i
$732$	−7.10888	−	11.3777i	−0.262752	−	0.420533i
$733$	4.90847	+	18.3186i	0.181298	+	0.676615i	0.995393	+	0.0958820i	$0.0305672\pi$
$733$	4.90847	+	18.3186i	0.181298	+	0.676615i	−0.814094	+	0.580733i	$0.802766\pi$
$734$	−4.26102	−	9.80029i	−0.157277	−	0.361735i
$735$	28.7942	−	11.2616i	1.06209	−	0.415392i
$736$	−3.13303	+	1.63050i	−0.115485	+	0.0601010i
$737$	−26.5304	+	7.10881i	−0.977262	+	0.261856i
$738$	−0.0754878	+	0.0112800i	−0.00277875	+	0.000415222i
$739$	−25.1558	−	43.5710i	−0.925369	−	1.60279i	−0.790966	−	0.611860i	$-0.790421\pi$
$739$	−25.1558	−	43.5710i	−0.925369	−	1.60279i	−0.134404	−	0.990927i	$-0.542912\pi$
$740$	−17.8684	−	12.3248i	−0.656856	−	0.453068i
$741$	52.6266			1.93329
$742$	14.0730	+	8.13294i	0.516634	+	0.298570i
$743$	−18.3122	+	18.3122i	−0.671811	+	0.671811i	−0.958133	−	0.286323i	$-0.907567\pi$
$743$	−18.3122	+	18.3122i	−0.671811	+	0.671811i	0.286323	+	0.958133i	$0.407567\pi$
$744$	−35.9862	+	30.7309i	−1.31932	+	1.12665i
$745$	8.53375	−	3.69404i	0.312652	−	0.135339i
$746$	−43.5114	−	32.1983i	−1.59307	−	1.17886i
$747$	−1.48556	+	0.398055i	−0.0543538	+	0.0145641i
$748$	−0.0607745	−	1.74263i	−0.00222213	−	0.0637169i
$749$	25.7554	−	32.3524i	0.941080	−	1.18213i
$750$	−31.1663	+	2.02547i	−1.13803	+	0.0739598i
$751$	−8.27309	+	14.3294i	−0.301889	+	0.522887i	−0.976564	−	0.215228i	$-0.930951\pi$
$751$	−8.27309	+	14.3294i	−0.301889	+	0.522887i	0.674675	+	0.738115i	$0.264284\pi$
$752$	−4.74026	+	24.3746i	−0.172859	+	0.888852i
$753$	20.5569	+	5.50820i	0.749135	+	0.200730i
$754$	11.7370	+	1.33753i	0.427435	+	0.0487100i
$755$	0.929594	−	8.04231i	0.0338314	−	0.292690i
$756$	20.4017	+	8.04692i	0.742003	+	0.292664i
$757$	−25.9416	+	25.9416i	−0.942865	+	0.942865i	−0.998454	−	0.0555889i	$-0.982296\pi$
$757$	−25.9416	+	25.9416i	−0.942865	+	0.942865i	0.0555889	+	0.998454i	$0.482296\pi$
$758$	−17.2070	−	21.6331i	−0.624985	−	0.785751i
$759$	3.10254	+	5.37375i	0.112615	+	0.195055i
$760$	−40.5538	−	35.3741i	−1.47104	−	1.28315i
$761$	43.9142	+	25.3539i	1.59189	+	0.919077i	0.992983	+	0.118258i	$0.0377308\pi$
$761$	43.9142	+	25.3539i	1.59189	+	0.919077i	0.598905	+	0.800820i	$0.295603\pi$
$762$	0.297618	−	0.755496i	0.0107816	−	0.0273687i
$763$	8.24424	−	18.9398i	0.298462	−	0.685667i
$764$	27.2911	+	25.4516i	0.987356	+	0.920808i
$765$	0.0510823	+	0.345655i	0.00184688	+	0.0124972i
$766$	−16.1928	−	11.9826i	−0.585070	−	0.432949i
$767$	−7.95967	+	29.7059i	−0.287407	+	1.07262i
$768$	12.3436	+	29.0944i	0.445411	+	1.04986i
$769$	−30.6113			−1.10387			−0.551935	−	0.833887i	$-0.686111\pi$
$769$	−30.6113			−1.10387			−0.551935	+	0.833887i	$0.686111\pi$
$770$	−15.5082	+	39.1342i	−0.558878	+	1.41030i
$771$			10.3017i			0.371006i
$772$	16.7366	−	31.4736i	0.602364	−	1.13276i
$773$	−24.9572	−	6.68727i	−0.897649	−	0.240524i	−0.219643	−	0.975580i	$-0.570489\pi$
$773$	−24.9572	−	6.68727i	−0.897649	−	0.240524i	−0.678006	+	0.735056i	$0.737156\pi$
$774$	−6.67919	+	9.02598i	−0.240079	+	0.324432i
$775$	−30.8790	−	28.9840i	−1.10920	−	1.04113i
$776$	2.28814	−	6.46010i	0.0821394	−	0.231904i
$777$	20.3969	−	15.0803i	0.731735	−	0.541004i
$778$	−2.32064	+	5.89088i	−0.0831988	+	0.211198i
$779$	0.254625	−	0.441023i	0.00912289	−	0.0158013i
$780$	9.27686	−	26.0581i	0.332165	−	0.933031i
$781$	24.7584	−	14.2943i	0.885927	−	0.511490i
$782$	−0.119746	+	0.0952458i	−0.00428211	+	0.00340598i
$783$	7.81813	+	7.81813i	0.279397	+	0.279397i
$784$	19.1142	−	20.4609i	0.682648	−	0.730747i
$785$	−18.4347	+	14.6146i	−0.657963	+	0.521618i
$786$	6.75052	+	0.769280i	0.240783	+	0.0274393i
$787$	4.95759	−	18.5020i	0.176719	−	0.659524i	−0.819534	−	0.573031i	$-0.805767\pi$
$787$	4.95759	−	18.5020i	0.176719	−	0.659524i	0.996252	−	0.0864929i	$-0.0275660\pi$
$788$	−4.07953	−	6.52928i	−0.145327	−	0.232596i
$789$	15.2730	+	8.81788i	0.543734	+	0.313925i
$790$	−14.3879	+	26.9521i	−0.511899	+	0.958913i
$791$	−14.1377	−	2.11867i	−0.502680	−	0.0753312i
$792$	11.5830	−	5.52382i	0.411583	−	0.196280i
$793$	2.75213	+	10.2711i	0.0977311	+	0.364737i
$794$	−17.6841	−	13.0862i	−0.627587	−	0.464412i
$795$	17.6083	−	7.62217i	0.624501	−	0.270331i
$796$	−32.7384	+	10.0075i	−1.16038	+	0.354706i
$797$	−4.19672	−	4.19672i	−0.148655	−	0.148655i	0.628862	−	0.777517i	$-0.283521\pi$
$797$	−4.19672	−	4.19672i	−0.148655	−	0.148655i	−0.777517	+	0.628862i	$0.783521\pi$
$798$	54.4747	−	31.4204i	1.92839	−	1.11227i
$799$			1.07572i			0.0380561i
$800$	−24.6643	+	13.8447i	−0.872013	+	0.489483i
$801$	−5.95858	+	3.44019i	−0.210536	+	0.121553i
$802$	33.4875	−	5.00396i	1.18248	−	0.176696i
$803$	6.96106	+	25.9790i	0.245650	+	0.916780i
$804$	14.7090	−	15.7721i	0.518748	−	0.556238i
$805$	3.56984	−	0.948773i	0.125820	−	0.0334399i
$806$	34.3968	−	14.9552i	1.21157	−	0.526775i
$807$	−34.6228	+	9.27716i	−1.21878	+	0.326572i
$808$	29.2953	+	20.1371i	1.03061	+	0.708420i
$809$	−34.1247	+	19.7019i	−1.19976	+	0.692683i	−0.960502	−	0.278273i	$-0.910238\pi$
$809$	−34.1247	+	19.7019i	−1.19976	+	0.692683i	−0.239260	+	0.970956i	$0.576905\pi$
$810$	29.2402	−	18.2041i	1.02740	−	0.639628i
$811$	45.7844			1.60771			0.803853	−	0.594828i	$-0.202780\pi$
$811$	45.7844			1.60771			0.803853	+	0.594828i	$0.202780\pi$
$812$	12.9477	−	5.62299i	0.454376	−	0.197328i
$813$	9.13668	+	9.13668i	0.320437	+	0.320437i
$814$	−3.91039	+	34.3141i	−0.137059	+	1.20271i
$815$	0.632004	+	0.250145i	0.0221381	+	0.00876218i
$816$	0.765511	+	1.13514i	0.0267982	+	0.0397378i
$817$	−19.3900	−	72.3645i	−0.678371	−	2.53171i
$818$	−17.1581	+	43.5554i	−0.599918	+	1.52288i
$819$	5.84462	+	4.65283i	0.204228	+	0.162583i
$820$	−0.173489	−	0.203820i	−0.00605850	−	0.00711772i
$821$	−8.11841	−	4.68717i	−0.283334	−	0.163583i	0.351598	−	0.936151i	$-0.385639\pi$
$821$	−8.11841	−	4.68717i	−0.283334	−	0.163583i	−0.634932	+	0.772568i	$0.718972\pi$
$822$	−28.4021	+	4.24406i	−0.990638	+	0.148029i
$823$	41.5337	+	11.1289i	1.44777	+	0.387930i	0.895248	−	0.445567i	$-0.146998\pi$
$823$	41.5337	+	11.1289i	1.44777	+	0.387930i	0.552524	+	0.833497i	$0.313665\pi$
$824$	5.01429	−	4.28201i	0.174681	−	0.149171i
$825$	26.1949	+	42.2264i	0.911988	+	1.47013i
$826$	9.49652	+	35.5014i	0.330426	+	1.23525i
$827$	−21.7865	+	21.7865i	−0.757590	+	0.757590i	−0.975883	−	0.218293i	$-0.929951\pi$
$827$	−21.7865	+	21.7865i	−0.757590	+	0.757590i	0.218293	+	0.975883i	$0.429951\pi$
$828$	−0.994216	−	0.528692i	−0.0345514	−	0.0183733i
$829$	5.97401	−	3.44909i	0.207486	−	0.119792i	−0.392657	−	0.919685i	$-0.628444\pi$
$829$	5.97401	−	3.44909i	0.207486	−	0.119792i	0.600142	+	0.799893i	$0.295111\pi$
$830$	−3.93833	−	3.68475i	−0.136702	−	0.127900i
$831$	34.6696	+	20.0165i	1.20268	+	0.694366i
$832$	−2.61498	−	24.9127i	−0.0906582	−	0.863692i
$833$	0.643606	−	1.02816i	0.0222996	−	0.0356236i
$834$	6.92957	−	3.01288i	0.239951	−	0.104327i
$835$	45.0531	−	6.65814i	1.55913	−	0.230414i
$836$	−19.2641	+	83.4248i	−0.666264	+	2.88531i
$837$	33.9094	+	9.08599i	1.17208	+	0.314058i
$838$	−37.1584	+	29.5558i	−1.28362	+	1.02099i
$839$	54.4039			1.87823			0.939116	−	0.343599i	$-0.111646\pi$
$839$	54.4039			1.87823			0.939116	+	0.343599i	$0.111646\pi$
$840$	−5.95520	−	32.5120i	−0.205474	−	1.12177i
$841$	−21.8835			−0.754604
$842$	17.9157	−	14.2502i	0.617417	−	0.491093i
$843$	−7.16093	−	1.91877i	−0.246636	−	0.0660858i
$844$	48.3316	+	11.1606i	1.66364	+	0.384162i
$845$	4.25974	−	5.73711i	0.146539	−	0.197363i
$846$	−7.26018	+	3.15662i	−0.249610	+	0.108527i
$847$	37.6298	−	4.27217i	1.29298	−	0.146793i
$848$	11.4011	−	13.1130i	0.391514	−	0.450302i
$849$	0.0174204	+	0.0100577i	0.000597868	+	0.000345179i
$850$	−0.934336	+	0.792706i	−0.0320475	+	0.0271896i
$851$	2.62449	−	1.51525i	0.0899663	−	0.0519421i
$852$	−10.5395	+	19.8197i	−0.361076	+	0.679010i
$853$	16.4738	−	16.4738i	0.564051	−	0.564051i	−0.366405	−	0.930456i	$-0.619411\pi$
$853$	16.4738	−	16.4738i	0.564051	−	0.564051i	0.930456	+	0.366405i	$0.119411\pi$
$854$	8.98108	+	8.98866i	0.307326	+	0.307586i
$855$	1.97002	−	17.0435i	0.0673733	−	0.582875i
$856$	−28.7082	−	33.6176i	−0.981226	−	1.14903i
$857$	−26.5578	−	7.11614i	−0.907197	−	0.243083i	−0.225092	−	0.974337i	$-0.572268\pi$
$857$	−26.5578	−	7.11614i	−0.907197	−	0.243083i	−0.682104	+	0.731255i	$0.738935\pi$
$858$	−43.5253	+	6.50388i	−1.48593	+	0.222039i
$859$	−38.0765	−	21.9835i	−1.29915	−	0.750067i	−0.318896	−	0.947790i	$-0.603312\pi$
$859$	−38.0765	−	21.9835i	−1.29915	−	0.750067i	−0.980258	+	0.197723i	$0.936645\pi$
$860$	−39.2494	−	3.15521i	−1.33839	−	0.107592i
$861$	0.291066	−	0.114520i	0.00991951	−	0.00390283i
$862$	6.80233	−	17.2676i	0.231688	−	0.588136i
$863$	−10.5638	−	39.4246i	−0.359595	−	1.34203i	−0.874602	−	0.484842i	$-0.838877\pi$
$863$	−10.5638	−	39.4246i	−0.359595	−	1.34203i	0.515006	−	0.857186i	$-0.327790\pi$
$864$	12.5995	−	19.7723i	0.428645	−	0.672669i
$865$	−7.53008	+	19.0252i	−0.256030	+	0.646875i
$866$	0.926954	−	8.13412i	0.0314992	−	0.276409i
$867$	−23.7026	−	23.7026i	−0.804983	−	0.804983i
$868$	26.6758	−	36.0168i	0.905437	−	1.22249i
$869$	48.6096			1.64897
$870$	3.77529	−	16.2301i	0.127994	−	0.550251i
$871$	−14.8034	+	8.54672i	−0.501593	+	0.289595i
$872$	−18.1979	−	12.5089i	−0.616260	−	0.423606i
$873$	2.11054	−	0.565516i	0.0714308	−	0.0191398i
$874$	6.88997	−	2.99566i	0.233057	−	0.101330i
$875$	28.3332	−	8.49867i	0.957838	−	0.287307i
$876$	−15.4442	−	14.4033i	−0.521813	−	0.486643i
$877$	10.7072	+	39.9599i	0.361557	+	1.34935i	0.872029	+	0.489455i	$0.162804\pi$
$877$	10.7072	+	39.9599i	0.361557	+	1.34935i	−0.510472	+	0.859895i	$0.670529\pi$
$878$	−14.6845	+	2.19427i	−0.495578	+	0.0740531i
$879$	−28.8524	+	16.6580i	−0.973168	+	0.561859i
$880$	37.9121	+	24.2446i	1.27802	+	0.817284i
$881$		−	25.5574i		−	0.861050i	−0.902579	−	0.430525i	$-0.858328\pi$
$881$		−	25.5574i		−	0.861050i	0.902579	−	0.430525i	$-0.141672\pi$
$882$	8.82783	+	1.32674i	0.297248	+	0.0446735i
$883$	−17.8543	−	17.8543i	−0.600847	−	0.600847i	0.339691	−	0.940537i	$-0.389678\pi$
$883$	−17.8543	−	17.8543i	−0.600847	−	0.600847i	−0.940537	+	0.339691i	$0.889678\pi$
$884$	−0.317226	−	1.03777i	−0.0106695	−	0.0349040i
$885$	40.3368	+	15.9651i	1.35591	+	0.536663i
$886$	−11.5951	−	8.58031i	−0.389544	−	0.288261i
$887$	6.25380	+	23.3395i	0.209982	+	0.783663i	0.987873	+	0.155264i	$0.0496229\pi$
$887$	6.25380	+	23.3395i	0.209982	+	0.783663i	−0.777891	+	0.628399i	$0.783710\pi$
$888$	−11.6728	−	24.4769i	−0.391714	−	0.821390i
$889$	−0.113978	+	0.760570i	−0.00382271	+	0.0255087i
$890$	−21.2850	−	11.3626i	−0.713474	−	0.380876i
$891$	−47.4596	−	27.4008i	−1.58996	−	0.917961i
$892$	−20.2430	+	12.6479i	−0.677784	+	0.423484i
$893$	13.6710	−	51.0209i	0.457482	−	1.70735i
$894$	11.5423	+	1.31535i	0.386033	+	0.0439918i
$895$	0.766775	−	6.63369i	0.0256305	−	0.221740i
$896$	−17.5808	−	24.2263i	−0.587333	−	0.809345i
$897$	2.73062	+	2.73062i	0.0911727	+	0.0911727i
$898$	22.2854	−	17.7258i	0.743673	−	0.591517i
$899$	19.5683	−	11.2978i	0.652640	−	0.376802i
$900$	−8.09185	−	3.97984i	−0.269728	−	0.132661i
$901$	0.376378	−	0.651906i	0.0125390	−	0.0217182i
$902$	−0.156086	+	0.396220i	−0.00519709	+	0.0131927i
$903$	18.3652	−	42.1909i	0.611154	−	1.40403i
$904$	−5.10244	+	14.4057i	−0.169705	+	0.479127i
$905$	4.69319	+	3.48463i	0.156007	+	0.115833i
$906$	6.01622	−	8.13007i	0.199876	−	0.270104i
$907$	5.12719	+	1.37383i	0.170246	+	0.0456172i	0.342935	−	0.939359i	$-0.388579\pi$
$907$	5.12719	+	1.37383i	0.170246	+	0.0456172i	−0.172689	+	0.984976i	$0.555246\pi$
$908$	−28.9985	−	15.4205i	−0.962350	−	0.511747i
$909$			11.3337i			0.375915i
$910$	−3.01906	+	26.0229i	−0.100081	+	0.862651i
$911$	35.4005			1.17287			0.586436	−	0.809996i	$-0.300531\pi$
$911$	35.4005			1.17287			0.586436	+	0.809996i	$0.300531\pi$
$912$	−21.8817	−	63.5680i	−0.724577	−	2.10495i
$913$	−2.22092	+	8.28859i	−0.0735018	+	0.274312i
$914$	−32.8443	−	24.3047i	−1.08639	−	0.803928i
$915$	14.8384	−	2.19288i	0.490542	−	0.0724943i
$916$	−5.79685	+	6.21579i	−0.191533	+	0.205376i
$917$	−6.39384	+	0.725901i	−0.211143	+	0.0239714i
$918$	0.372271	−	0.945002i	0.0122868	−	0.0311897i
$919$	11.6204	+	6.70906i	0.383323	+	0.221311i	0.679263	−	0.733895i	$-0.262300\pi$
$919$	11.6204	+	6.70906i	0.383323	+	0.221311i	−0.295940	+	0.955206i	$0.595633\pi$
$920$	−0.268761	−	3.93965i	−0.00886077	−	0.129886i
$921$	−2.38038	−	4.12293i	−0.0784361	−	0.135855i
$922$	14.3459	+	18.0361i	0.472458	+	0.593989i
$923$	12.5808	−	12.5808i	0.414100	−	0.414100i
$924$	−41.1707	+	32.7188i	−1.35442	+	1.07637i
$925$	20.6230	−	12.7933i	0.678078	−	0.420641i
$926$	−20.8183	−	2.37242i	−0.684131	−	0.0779627i
$927$	2.03062	+	0.544102i	0.0666942	+	0.0178707i
$928$	−3.26453	−	14.7333i	−0.107164	−	0.483644i
$929$	18.0619	−	31.2841i	0.592591	−	1.02640i	−0.401291	−	0.915951i	$-0.631438\pi$
$929$	18.0619	−	31.2841i	0.592591	−	1.02640i	0.993882	−	0.110447i	$-0.0352283\pi$
$930$	−15.3851	−	50.6216i	−0.504497	−	1.65995i
$931$	−43.5926	+	40.5858i	−1.42869	+	1.33015i
$932$	4.98620	−	0.173894i	0.163328	−	0.00569609i
$933$	−10.8301	+	2.90192i	−0.354562	+	0.0950045i
$934$	−32.8925	−	24.3403i	−1.07627	−	0.796439i
$935$	1.81269	+	0.717453i	0.0592812	+	0.0234632i
$936$	6.07319	−	5.18628i	0.198508	−	0.169519i
$937$	16.2606	−	16.2606i	0.531210	−	0.531210i	−0.389723	−	0.920932i	$-0.627429\pi$
$937$	16.2606	−	16.2606i	0.531210	−	0.531210i	0.920932	+	0.389723i	$0.127429\pi$
$938$	−10.2205	+	17.6851i	−0.333710	+	0.577440i
$939$	−12.2779			−0.400673
$940$	−22.8532	−	15.7630i	−0.745389	−	0.514133i
$941$	10.4599	+	18.1171i	0.340984	+	0.590602i	0.984616	−	0.174733i	$-0.0559064\pi$
$941$	10.4599	+	18.1171i	0.340984	+	0.590602i	−0.643631	+	0.765336i	$0.722573\pi$
$942$	−29.0666	+	4.34336i	−0.947042	+	0.141514i
$943$	0.0360949	−	0.00967160i	0.00117541	−	0.000314950i
$944$	39.1915	−	2.73694i	1.27558	−	0.0890800i
$945$	−17.3734	+	17.3030i	−0.565156	+	0.562866i
$946$	24.9799	+	57.4534i	0.812166	+	1.86797i
$947$	10.9669	+	40.9290i	0.356376	+	1.33001i	0.878744	+	0.477293i	$0.158382\pi$
$947$	10.9669	+	40.9290i	0.356376	+	1.33001i	−0.522368	+	0.852720i	$0.674951\pi$
$948$	−32.3693	+	20.2246i	−1.05131	+	0.656863i
$949$	8.36908	+	14.4957i	0.271672	+	0.470549i
$950$	54.3895	−	25.7235i	1.76463	−	0.834582i
$951$		−	30.5682i		−	0.991241i
$952$	−0.947961	−	0.884816i	−0.0307236	−	0.0286771i
$953$	−11.1863	+	11.1863i	−0.362361	+	0.362361i	−0.864682	−	0.502320i	$-0.832480\pi$
$953$	−11.1863	+	11.1863i	−0.362361	+	0.362361i	0.502320	+	0.864682i	$0.332480\pi$
$954$	5.50428	+	0.627261i	0.178208	+	0.0203083i
$955$	−38.2888	+	16.5742i	−1.23900	+	0.536330i
$956$	57.6241	+	13.3063i	1.86370	+	0.430358i
$957$	−25.6087	+	6.86184i	−0.827813	+	0.221812i
$958$	−1.37469	+	3.48961i	−0.0444141	+	0.112744i
$959$	25.3102	−	9.95830i	0.817310	−	0.321570i
$960$	−35.3331	−	0.370809i	−1.14037	−	0.0119678i
$961$	20.3716	−	35.2847i	0.657149	−	1.13821i
$962$	3.17643	+	21.2573i	0.102412	+	0.685363i
$963$	3.64786	−	13.6140i	0.117551	−	0.438705i
$964$	−3.84095	−	12.5652i	−0.123709	−	0.404699i
$965$	24.7591	+	31.2308i	0.797022	+	1.00536i
$966$	4.45681	+	1.19621i	0.143396	+	0.0384876i
$967$	3.01892	+	3.01892i	0.0970820	+	0.0970820i	0.753980	−	0.656898i	$-0.228132\pi$
$967$	3.01892	+	3.01892i	0.0970820	+	0.0970820i	−0.656898	+	0.753980i	$0.728132\pi$
$968$	3.17929	−	40.3614i	0.102186	−	1.29726i
$969$	−1.45621	−	2.52222i	−0.0467801	−	0.0810255i
$970$	5.59519	+	5.23492i	0.179651	+	0.168083i
$971$	−2.75081	+	4.76454i	−0.0882776	+	0.152901i	−0.906783	−	0.421597i	$-0.861470\pi$
$971$	−2.75081	+	4.76454i	−0.0882776	+	0.152901i	0.818506	+	0.574499i	$0.194803\pi$
$972$	18.1513	−	0.633028i	0.582203	−	0.0203044i
$973$	−5.75460	+	4.25463i	−0.184484	+	0.136397i
$974$	−40.9723	+	17.8142i	−1.31284	+	0.570803i
$975$	22.5482	+	21.1645i	0.722122	+	0.677806i
$976$	11.2622	−	7.59497i	0.360495	−	0.243109i
$977$	0.438052	−	1.63483i	0.0140145	−	0.0523030i	−0.958564	−	0.284876i	$-0.908048\pi$
$977$	0.438052	−	1.63483i	0.0140145	−	0.0523030i	0.972579	+	0.232573i	$0.0747144\pi$
$978$	0.528590	+	0.664560i	0.0169025	+	0.0212503i
$979$			38.3886i			1.22691i
$980$	12.4117	+	28.7393i	0.396479	+	0.918044i
$981$		−	7.04036i		−	0.224781i
$982$	13.1836	−	10.4862i	0.420705	−	0.334628i
$983$	6.07456	−	22.6706i	0.193748	−	0.723078i	−0.798839	−	0.601545i	$-0.794552\pi$
$983$	6.07456	−	22.6706i	0.193748	−	0.723078i	0.992587	−	0.121534i	$-0.0387812\pi$
$984$	−0.0609136	−	0.328786i	−0.00194186	−	0.0104813i
$985$	8.51522	−	1.25841i	0.271317	−	0.0400964i
$986$	−0.260665	−	0.599526i	−0.00830126	−	0.0190928i
$987$	26.0871	−	19.2873i	0.830361	−	0.613922i
$988$	1.85719	+	53.2526i	0.0590851	+	1.69419i
$989$	2.74867	−	4.76084i	0.0874026	−	0.151386i
$990$	0.477005	+	14.3394i	0.0151602	+	0.455737i
$991$	−0.415522	−	0.719704i	−0.0131995	−	0.0228622i	0.859350	−	0.511388i	$-0.170868\pi$
$991$	−0.415522	−	0.719704i	−0.0131995	−	0.0228622i	−0.872550	+	0.488525i	$0.837535\pi$
$992$	−32.3664	−	35.3298i	−1.02763	−	1.12172i
$993$	10.3669	+	10.3669i	0.328985	+	0.328985i
$994$	5.51131	−	20.5338i	0.174808	−	0.651294i
$995$	4.39481	−	38.0214i	0.139325	−	1.20536i
$996$	−1.96964	−	6.44345i	−0.0624104	−	0.204169i
$997$	3.56793	−	13.3157i	0.112998	−	0.421713i	−0.886132	−	0.463433i	$-0.846617\pi$
$997$	3.56793	−	13.3157i	0.112998	−	0.421713i	0.999129	+	0.0417208i	$0.0132840\pi$
$998$	41.8092	−	6.24745i	1.32345	−	0.197760i
$999$	−10.0585	+	17.4219i	−0.318237	+	0.551203i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	280.2.bv.e.117.11	✓	160
5.3	odd	4	inner	280.2.bv.e.173.10	yes	160
7.3	odd	6	inner	280.2.bv.e.157.39	yes	160
8.5	even	2	inner	280.2.bv.e.117.20	yes	160
35.3	even	12	inner	280.2.bv.e.213.20	yes	160
40.13	odd	4	inner	280.2.bv.e.173.39	yes	160
56.45	odd	6	inner	280.2.bv.e.157.10	yes	160
280.213	even	12	inner	280.2.bv.e.213.11	yes	160

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
280.2.bv.e.117.11	✓	160	1.1	even	1	trivial
280.2.bv.e.117.20	yes	160	8.5	even	2	inner
280.2.bv.e.157.10	yes	160	56.45	odd	6	inner
280.2.bv.e.157.39	yes	160	7.3	odd	6	inner
280.2.bv.e.173.10	yes	160	5.3	odd	4	inner
280.2.bv.e.173.39	yes	160	40.13	odd	4	inner
280.2.bv.e.213.11	yes	160	280.213	even	12	inner
280.2.bv.e.213.20	yes	160	35.3	even	12	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:	\( N \)	\(=\)	\( 280 = 2^{3} \cdot 5 \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	280.bv (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.880343 - 1.10680i) q^{2} +(1.90798 + 0.511242i) q^{3} +(-0.449991 + 1.94872i) q^{4} +(-1.79531 - 1.33299i) q^{5} +(-1.11384 - 2.56181i) q^{6} +(1.57290 + 2.12743i) q^{7} +(2.55298 - 1.21749i) q^{8} +(0.780947 + 0.450880i) q^{9} +O(q^{10})\)	\(q+(-0.880343 - 1.10680i) q^{2} +(1.90798 + 0.511242i) q^{3} +(-0.449991 + 1.94872i) q^{4} +(-1.79531 - 1.33299i) q^{5} +(-1.11384 - 2.56181i) q^{6} +(1.57290 + 2.12743i) q^{7} +(2.55298 - 1.21749i) q^{8} +(0.780947 + 0.450880i) q^{9} +(0.105136 + 3.16053i) q^{10} +(4.35724 - 2.51566i) q^{11} +(-1.85484 + 3.48807i) q^{12} +(2.21409 - 2.21409i) q^{13} +(0.969937 - 3.61375i) q^{14} +(-2.74393 - 3.46116i) q^{15} +(-3.59502 - 1.75381i) q^{16} +(-0.167379 - 0.0448492i) q^{17} +(-0.188470 - 1.26128i) q^{18} +(7.36877 + 4.25436i) q^{19} +(3.40550 - 2.89871i) q^{20} +(1.91344 + 4.86324i) q^{21} +(-6.62019 - 2.60794i) q^{22} +(0.161596 + 0.603086i) q^{23} +(5.49347 - 1.01777i) q^{24} +(1.44626 + 4.78627i) q^{25} +(-4.39970 - 0.501384i) q^{26} +(-2.93069 - 2.93069i) q^{27} +(-4.85356 + 2.10782i) q^{28} -2.66767 q^{29} +(-1.41520 + 6.08398i) q^{30} +(-7.33535 + 4.23507i) q^{31} +(1.22374 + 5.52290i) q^{32} +(9.59965 - 2.57222i) q^{33} +(0.0977125 + 0.224737i) q^{34} +(0.0120087 - 5.91607i) q^{35} +(-1.23006 + 1.31895i) q^{36} +(-1.25625 - 4.68837i) q^{37} +(-1.77834 - 11.9010i) q^{38} +(5.35638 - 3.09251i) q^{39} +(-6.20630 - 1.21733i) q^{40} -0.0598503i q^{41} +(3.69812 - 6.39910i) q^{42} +(-6.22590 - 6.22590i) q^{43} +(2.94159 + 9.62307i) q^{44} +(-0.801019 - 1.85047i) q^{45} +(0.525232 - 0.709777i) q^{46} +(-1.60670 - 5.99630i) q^{47} +(-5.96260 - 5.18416i) q^{48} +(-2.05194 + 6.69250i) q^{49} +(4.02422 - 5.81427i) q^{50} +(-0.296428 - 0.171143i) q^{51} +(3.31832 + 5.31096i) q^{52} +(-1.12433 + 4.19605i) q^{53} +(-0.663661 + 5.82369i) q^{54} +(-11.1759 - 1.29180i) q^{55} +(6.60573 + 3.51629i) q^{56} +(11.8845 + 11.8845i) q^{57} +(2.34847 + 2.95257i) q^{58} +(-8.50588 + 4.91087i) q^{59} +(7.97958 - 3.78966i) q^{60} +(-1.69798 + 2.94099i) q^{61} +(11.1450 + 4.39042i) q^{62} +(0.269138 + 2.37060i) q^{63} +(5.03541 - 6.21648i) q^{64} +(-6.92634 + 1.02360i) q^{65} +(-11.2979 - 8.36041i) q^{66} +(-5.27307 - 1.41291i) q^{67} +(0.162718 - 0.305994i) q^{68} +1.23329i q^{69} +(-6.55845 + 5.19488i) q^{70} +5.68213 q^{71} +(2.54269 + 0.200289i) q^{72} +(-1.38355 + 5.16347i) q^{73} +(-4.08314 + 5.51779i) q^{74} +(0.312487 + 9.87149i) q^{75} +(-11.6064 + 12.4452i) q^{76} +(12.2054 + 5.31286i) q^{77} +(-8.13822 - 3.20594i) q^{78} +(8.36703 + 4.83071i) q^{79} +(4.11634 + 7.94077i) q^{80} +(-5.44605 - 9.43284i) q^{81} +(-0.0662420 + 0.0526888i) q^{82} +(-1.20598 + 1.20598i) q^{83} +(-10.3381 + 1.54034i) q^{84} +(0.240714 + 0.303634i) q^{85} +(-1.40987 + 12.3717i) q^{86} +(-5.08987 - 1.36383i) q^{87} +(8.06116 - 11.7273i) q^{88} +(-3.81497 + 6.60772i) q^{89} +(-1.34291 + 2.51561i) q^{90} +(8.19288 + 1.22778i) q^{91} +(-1.24796 + 0.0435228i) q^{92} +(-16.1609 + 4.33029i) q^{93} +(-5.22222 + 7.05709i) q^{94} +(-7.55817 - 17.4604i) q^{95} +(-0.488672 + 11.1632i) q^{96} +(1.71334 - 1.71334i) q^{97} +(9.21364 - 3.62062i) q^{98} +4.53704 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 160 q - 2 q^{2} + 12 q^{7} + 4 q^{8}+O(q^{10}) \) 160 * q - 2 * q^2 + 12 * q^7 + 4 * q^8	\( 160 q - 2 q^{2} + 12 q^{7} + 4 q^{8} - 6 q^{10} + 6 q^{12} - 8 q^{15} + 4 q^{16} - 12 q^{17} - 28 q^{18} - 24 q^{22} - 16 q^{23} + 20 q^{25} - 12 q^{26} - 46 q^{28} + 32 q^{30} + 48 q^{31} + 18 q^{32} - 12 q^{33} - 32 q^{36} - 48 q^{38} + 54 q^{40} + 6 q^{42} - 64 q^{46} - 132 q^{47} - 12 q^{50} - 20 q^{56} - 88 q^{57} + 6 q^{58} + 34 q^{60} - 32 q^{63} - 28 q^{65} - 180 q^{66} + 60 q^{68} - 108 q^{70} - 160 q^{71} + 52 q^{72} + 84 q^{73} + 48 q^{78} - 48 q^{80} + 16 q^{81} - 90 q^{82} - 84 q^{86} - 12 q^{87} + 44 q^{88} + 36 q^{92} - 20 q^{95} - 48 q^{96} - 94 q^{98}+O(q^{100}) \) 160 * q - 2 * q^2 + 12 * q^7 + 4 * q^8 - 6 * q^10 + 6 * q^12 - 8 * q^15 + 4 * q^16 - 12 * q^17 - 28 * q^18 - 24 * q^22 - 16 * q^23 + 20 * q^25 - 12 * q^26 - 46 * q^28 + 32 * q^30 + 48 * q^31 + 18 * q^32 - 12 * q^33 - 32 * q^36 - 48 * q^38 + 54 * q^40 + 6 * q^42 - 64 * q^46 - 132 * q^47 - 12 * q^50 - 20 * q^56 - 88 * q^57 + 6 * q^58 + 34 * q^60 - 32 * q^63 - 28 * q^65 - 180 * q^66 + 60 * q^68 - 108 * q^70 - 160 * q^71 + 52 * q^72 + 84 * q^73 + 48 * q^78 - 48 * q^80 + 16 * q^81 - 90 * q^82 - 84 * q^86 - 12 * q^87 + 44 * q^88 + 36 * q^92 - 20 * q^95 - 48 * q^96 - 94 * q^98

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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