LMFDB - Embedded newform 287.2.u.a.8.20

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [287,2,Mod(8,287)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(287, base_ring=CyclotomicField(20))

chi = DirichletCharacter(H, H._module([0, 19]))

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

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

chi := DirichletCharacter("287.8");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 287 = 7 \cdot 41 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	287.u (of order $20$, degree $8$, 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:	$2.29170653801$
Analytic rank:	$0$
Dimension:	$160$
Relative dimension:	$20$ over $\Q(\zeta_{20})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label			8.20
Character	$\chi$	$=$	287.8
Dual form			287.2.u.a.36.20

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.55275 - 2.13717i) q^{2} +(-0.217409 - 0.217409i) q^{3} +(-1.53845 - 4.73486i) q^{4} +(-2.92878 + 0.951619i) q^{5} +(-0.802220 + 0.127059i) q^{6} +(-0.987688 - 0.156434i) q^{7} +(-7.48325 - 2.43145i) q^{8} -2.90547i q^{9} +O(q^{10})$	\(q+(1.55275 - 2.13717i) q^{2} +(-0.217409 - 0.217409i) q^{3} +(-1.53845 - 4.73486i) q^{4} +(-2.92878 + 0.951619i) q^{5} +(-0.802220 + 0.127059i) q^{6} +(-0.987688 - 0.156434i) q^{7} +(-7.48325 - 2.43145i) q^{8} -2.90547i q^{9} +(-2.51388 + 7.73693i) q^{10} +(4.44390 - 2.26428i) q^{11} +(-0.694928 + 1.36387i) q^{12} +(0.594359 + 3.75264i) q^{13} +(-1.86796 + 1.86796i) q^{14} +(0.843632 + 0.429852i) q^{15} +(-8.76060 + 6.36495i) q^{16} +(-1.73499 - 3.40510i) q^{17} +(-6.20948 - 4.51145i) q^{18} +(0.739962 - 4.67194i) q^{19} +(9.01157 + 12.4034i) q^{20} +(0.180722 + 0.248742i) q^{21} +(2.06110 - 13.0132i) q^{22} +(7.23528 + 5.25674i) q^{23} +(1.09830 + 2.15554i) q^{24} +(3.62709 - 2.63524i) q^{25} +(8.94292 + 4.55665i) q^{26} +(-1.28390 + 1.28390i) q^{27} +(0.778814 + 4.91724i) q^{28} +(0.0162086 - 0.0318111i) q^{29} +(2.22862 - 1.13554i) q^{30} +(2.35934 - 7.26129i) q^{31} +12.8694i q^{32} +(-1.45842 - 0.473869i) q^{33} +(-9.97128 - 1.57930i) q^{34} +(3.04159 - 0.481740i) q^{35} +(-13.7570 + 4.46992i) q^{36} +(0.834926 + 2.56964i) q^{37} +(-8.83576 - 8.83576i) q^{38} +(0.686637 - 0.945075i) q^{39} +24.2306 q^{40} +(6.29429 - 1.17557i) q^{41} +0.812220 q^{42} +(-6.55645 + 9.02417i) q^{43} +(-17.5578 - 17.5578i) q^{44} +(2.76490 + 8.50948i) q^{45} +(22.4691 - 7.30065i) q^{46} +(-3.52111 + 0.557689i) q^{47} +(3.28842 + 0.520835i) q^{48} +(0.951057 + 0.309017i) q^{49} -11.8436i q^{50} +(-0.363098 + 1.11750i) q^{51} +(16.8538 - 8.58746i) q^{52} +(0.199974 - 0.392470i) q^{53} +(0.750344 + 4.73749i) q^{54} +(-10.8605 + 10.8605i) q^{55} +(7.01075 + 3.57216i) q^{56} +(-1.17659 + 0.854846i) q^{57} +(-0.0428181 - 0.0840352i) q^{58} +(4.35277 + 3.16247i) q^{59} +(0.737405 - 4.65579i) q^{60} +(0.0336697 + 0.0463424i) q^{61} +(-11.8552 - 16.3173i) q^{62} +(-0.454515 + 2.86970i) q^{63} +(9.98284 + 7.25296i) q^{64} +(-5.31183 - 10.4251i) q^{65} +(-3.27729 + 2.38109i) q^{66} +(-0.230889 - 0.117644i) q^{67} +(-13.4535 + 13.4535i) q^{68} +(-0.430152 - 2.71587i) q^{69} +(3.69325 - 7.24842i) q^{70} +(-7.99224 + 4.07225i) q^{71} +(-7.06451 + 21.7423i) q^{72} -0.797185i q^{73} +(6.78819 + 2.20562i) q^{74} +(-1.36149 - 0.215638i) q^{75} +(-23.2594 + 3.68392i) q^{76} +(-4.74340 + 1.54123i) q^{77} +(-0.953615 - 2.93492i) q^{78} +(-0.851516 - 0.851516i) q^{79} +(19.6009 - 26.9783i) q^{80} -8.15814 q^{81} +(7.26105 - 15.2773i) q^{82} +11.6476 q^{83} +(0.899729 - 1.23837i) q^{84} +(8.32175 + 8.32175i) q^{85} +(9.10572 + 28.0245i) q^{86} +(-0.0104399 + 0.00339213i) q^{87} +(-38.7603 + 6.13903i) q^{88} +(14.7429 + 2.33504i) q^{89} +(22.4794 + 7.30400i) q^{90} -3.79941i q^{91} +(13.7588 - 42.3453i) q^{92} +(-2.09161 + 1.06573i) q^{93} +(-4.27551 + 8.39117i) q^{94} +(2.27872 + 14.3872i) q^{95} +(2.79791 - 2.79791i) q^{96} +(-5.62253 - 2.86482i) q^{97} +(2.13717 - 1.55275i) q^{98} +(-6.57880 - 12.9116i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 160 q - 4 q^{3} + 36 q^{4} - 28 q^{6}+O(q^{10}) $ 160 * q - 4 * q^3 + 36 * q^4 - 28 * q^6	$ 160 q - 4 q^{3} + 36 q^{4} - 28 q^{6} - 48 q^{10} + 8 q^{11} - 16 q^{12} - 16 q^{13} - 32 q^{15} - 28 q^{16} - 20 q^{17} + 12 q^{18} - 40 q^{19} - 4 q^{22} - 36 q^{23} - 108 q^{24} + 40 q^{25} + 20 q^{26} + 20 q^{27} + 12 q^{29} - 4 q^{30} + 20 q^{31} - 32 q^{34} - 4 q^{35} + 140 q^{36} - 44 q^{38} + 80 q^{39} - 64 q^{40} + 4 q^{41} - 72 q^{42} - 8 q^{44} + 8 q^{45} + 40 q^{46} - 56 q^{47} + 120 q^{48} + 24 q^{51} + 16 q^{52} + 12 q^{53} - 52 q^{54} - 72 q^{55} + 48 q^{57} + 36 q^{58} - 48 q^{59} - 52 q^{60} + 8 q^{63} - 96 q^{64} - 96 q^{65} + 24 q^{66} + 20 q^{67} - 80 q^{68} - 68 q^{69} + 8 q^{70} + 60 q^{71} + 100 q^{72} - 40 q^{74} - 120 q^{75} + 4 q^{76} - 12 q^{78} + 12 q^{79} + 200 q^{80} - 56 q^{81} - 68 q^{82} - 40 q^{83} + 132 q^{85} + 80 q^{86} - 16 q^{88} + 8 q^{89} + 140 q^{92} + 64 q^{93} + 128 q^{94} - 68 q^{96} + 4 q^{98} + 96 q^{99}+O(q^{100}) $ 160 * q - 4 * q^3 + 36 * q^4 - 28 * q^6 - 48 * q^10 + 8 * q^11 - 16 * q^12 - 16 * q^13 - 32 * q^15 - 28 * q^16 - 20 * q^17 + 12 * q^18 - 40 * q^19 - 4 * q^22 - 36 * q^23 - 108 * q^24 + 40 * q^25 + 20 * q^26 + 20 * q^27 + 12 * q^29 - 4 * q^30 + 20 * q^31 - 32 * q^34 - 4 * q^35 + 140 * q^36 - 44 * q^38 + 80 * q^39 - 64 * q^40 + 4 * q^41 - 72 * q^42 - 8 * q^44 + 8 * q^45 + 40 * q^46 - 56 * q^47 + 120 * q^48 + 24 * q^51 + 16 * q^52 + 12 * q^53 - 52 * q^54 - 72 * q^55 + 48 * q^57 + 36 * q^58 - 48 * q^59 - 52 * q^60 + 8 * q^63 - 96 * q^64 - 96 * q^65 + 24 * q^66 + 20 * q^67 - 80 * q^68 - 68 * q^69 + 8 * q^70 + 60 * q^71 + 100 * q^72 - 40 * q^74 - 120 * q^75 + 4 * q^76 - 12 * q^78 + 12 * q^79 + 200 * q^80 - 56 * q^81 - 68 * q^82 - 40 * q^83 + 132 * q^85 + 80 * q^86 - 16 * q^88 + 8 * q^89 + 140 * q^92 + 64 * q^93 + 128 * q^94 - 68 * q^96 + 4 * q^98 + 96 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/287\mathbb{Z}\right)^\times$.

$n$	$206$	$211$
$\chi(n)$	$1$	$e\left(\frac{19}{20}\right)$

Coefficient data

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

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

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

$2$	1.55275	−	2.13717i	1.09796	−	1.51121i	0.259894	−	0.965637i	$-0.416312\pi$
$2$	1.55275	−	2.13717i	1.09796	−	1.51121i	0.838064	−	0.545572i	$-0.183688\pi$
$3$	−0.217409	−	0.217409i	−0.125521	−	0.125521i	0.641556	−	0.767077i	$-0.278289\pi$
$3$	−0.217409	−	0.217409i	−0.125521	−	0.125521i	−0.767077	+	0.641556i	$0.778289\pi$
$4$	−1.53845	−	4.73486i	−0.769225	−	2.36743i
$5$	−2.92878	+	0.951619i	−1.30979	+	0.425577i	−0.878977	−	0.476864i	$-0.841773\pi$
$5$	−2.92878	+	0.951619i	−1.30979	+	0.425577i	−0.430814	+	0.902441i	$0.641773\pi$
$6$	−0.802220	+	0.127059i	−0.327505	+	0.0518717i
$7$	−0.987688	−	0.156434i	−0.373311	−	0.0591267i
$7$	−0.987688	−	0.156434i	−0.373311	−	0.0591267i
$8$	−7.48325	−	2.43145i	−2.64573	−	0.859649i
$9$		−	2.90547i		−	0.968489i
$10$	−2.51388	+	7.73693i	−0.794959	+	2.44663i
$11$	4.44390	−	2.26428i	1.33989	−	0.682707i	0.370636	−	0.928778i	$-0.379140\pi$
$11$	4.44390	−	2.26428i	1.33989	−	0.682707i	0.969252	+	0.246072i	$0.0791398\pi$
$12$	−0.694928	+	1.36387i	−0.200608	+	0.393716i
$13$	0.594359	+	3.75264i	0.164846	+	1.04079i	0.921896	+	0.387438i	$0.126640\pi$
$13$	0.594359	+	3.75264i	0.164846	+	1.04079i	−0.757050	+	0.653357i	$0.773360\pi$
$14$	−1.86796	+	1.86796i	−0.499233	+	0.499233i
$15$	0.843632	+	0.429852i	0.217825	+	0.110987i
$16$	−8.76060	+	6.36495i	−2.19015	+	1.59124i
$17$	−1.73499	−	3.40510i	−0.420796	−	0.825858i	−0.999943	−	0.0106357i	$-0.996614\pi$
$17$	−1.73499	−	3.40510i	−0.420796	−	0.825858i	0.579148	−	0.815223i	$-0.303386\pi$
$18$	−6.20948	−	4.51145i	−1.46359	−	1.06336i
$19$	0.739962	−	4.67194i	0.169759	−	1.07182i	−0.744778	−	0.667313i	$-0.767444\pi$
$19$	0.739962	−	4.67194i	0.169759	−	1.07182i	0.914537	−	0.404503i	$-0.132556\pi$
$20$	9.01157	+	12.4034i	2.01505	+	2.77347i
$21$	0.180722	+	0.248742i	0.0394367	+	0.0542800i
$22$	2.06110	−	13.0132i	0.439427	−	2.77443i
$23$	7.23528	+	5.25674i	1.50866	+	1.09611i	0.966768	+	0.255657i	$0.0822917\pi$
$23$	7.23528	+	5.25674i	1.50866	+	1.09611i	0.541892	+	0.840448i	$0.317708\pi$
$24$	1.09830	+	2.15554i	0.224190	+	0.439998i
$25$	3.62709	−	2.63524i	0.725419	−	0.527048i
$26$	8.94292	+	4.55665i	1.75385	+	0.893632i
$27$	−1.28390	+	1.28390i	−0.247087	+	0.247087i
$28$	0.778814	+	4.91724i	0.147182	+	0.929270i
$29$	0.0162086	−	0.0318111i	0.00300986	−	0.00590718i	−0.889497	−	0.456942i	$-0.848945\pi$
$29$	0.0162086	−	0.0318111i	0.00300986	−	0.00590718i	0.892507	+	0.451034i	$0.148945\pi$
$30$	2.22862	−	1.13554i	0.406888	−	0.207320i
$31$	2.35934	−	7.26129i	0.423749	−	1.30417i	−0.480437	−	0.877029i	$-0.659522\pi$
$31$	2.35934	−	7.26129i	0.423749	−	1.30417i	0.904187	−	0.427137i	$-0.140478\pi$
$32$			12.8694i			2.27500i
$33$	−1.45842	−	0.473869i	−0.253878	−	0.0824899i
$34$	−9.97128	−	1.57930i	−1.71006	−	0.270847i
$35$	3.04159	−	0.481740i	0.514122	−	0.0814290i
$36$	−13.7570	+	4.46992i	−2.29283	+	0.744986i
$37$	0.834926	+	2.56964i	0.137261	+	0.422446i	0.995935	−	0.0900764i	$-0.0287111\pi$
$37$	0.834926	+	2.56964i	0.137261	+	0.422446i	−0.858674	+	0.512523i	$0.828711\pi$
$38$	−8.83576	−	8.83576i	−1.43335	−	1.43335i
$39$	0.686637	−	0.945075i	0.109950	−	0.151333i
$40$	24.2306			3.83120
$41$	6.29429	−	1.17557i	0.983002	−	0.183592i
$41$	6.29429	−	1.17557i	0.983002	−	0.183592i
$42$	0.812220			0.125328
$43$	−6.55645	+	9.02417i	−0.999849	+	1.37617i	−0.0744303	+	0.997226i	$0.523714\pi$
$43$	−6.55645	+	9.02417i	−0.999849	+	1.37617i	−0.925418	+	0.378947i	$0.876286\pi$
$44$	−17.5578	−	17.5578i	−2.64694	−	2.64694i
$45$	2.76490	+	8.50948i	0.412166	+	1.26852i
$46$	22.4691	−	7.30065i	3.31289	−	1.07642i
$47$	−3.52111	+	0.557689i	−0.513607	+	0.0813473i	−0.407858	−	0.913046i	$-0.633724\pi$
$47$	−3.52111	+	0.557689i	−0.513607	+	0.0813473i	−0.105749	+	0.994393i	$0.533724\pi$
$48$	3.28842	+	0.520835i	0.474643	+	0.0751761i
$49$	0.951057	+	0.309017i	0.135865	+	0.0441453i
$50$		−	11.8436i		−	1.67494i
$51$	−0.363098	+	1.11750i	−0.0508438	+	0.156481i
$52$	16.8538	−	8.58746i	2.33721	−	1.19087i
$53$	0.199974	−	0.392470i	0.0274685	−	0.0539099i	−0.876864	−	0.480738i	$-0.840369\pi$
$53$	0.199974	−	0.392470i	0.0274685	−	0.0539099i	0.904333	+	0.426828i	$0.140369\pi$
$54$	0.750344	+	4.73749i	0.102109	+	0.644690i
$55$	−10.8605	+	10.8605i	−1.46443	+	1.46443i
$56$	7.01075	+	3.57216i	0.936851	+	0.477350i
$57$	−1.17659	+	0.854846i	−0.155844	+	0.113227i
$58$	−0.0428181	−	0.0840352i	−0.00562229	−	0.0110344i
$59$	4.35277	+	3.16247i	0.566683	+	0.411719i	0.833899	−	0.551918i	$-0.186104\pi$
$59$	4.35277	+	3.16247i	0.566683	+	0.411719i	−0.267216	+	0.963637i	$0.586104\pi$
$60$	0.737405	−	4.65579i	0.0951985	−	0.601060i
$61$	0.0336697	+	0.0463424i	0.00431096	+	0.00593353i	0.811167	−	0.584815i	$-0.198833\pi$
$61$	0.0336697	+	0.0463424i	0.00431096	+	0.00593353i	−0.806856	+	0.590748i	$0.798833\pi$
$62$	−11.8552	−	16.3173i	−1.50561	−	2.07229i
$63$	−0.454515	+	2.86970i	−0.0572635	+	0.361548i
$64$	9.98284	+	7.25296i	1.24785	+	0.906620i
$65$	−5.31183	−	10.4251i	−0.658851	−	1.29307i
$66$	−3.27729	+	2.38109i	−0.403407	+	0.293092i
$67$	−0.230889	−	0.117644i	−0.0282075	−	0.0143725i	0.439830	−	0.898081i	$-0.355039\pi$
$67$	−0.230889	−	0.117644i	−0.0282075	−	0.0143725i	−0.468037	+	0.883709i	$0.655039\pi$
$68$	−13.4535	+	13.4535i	−1.63148	+	1.63148i
$69$	−0.430152	−	2.71587i	−0.0517842	−	0.326953i
$70$	3.69325	−	7.24842i	0.441428	−	0.866352i
$71$	−7.99224	+	4.07225i	−0.948504	+	0.483287i	−0.858590	−	0.512663i	$-0.828659\pi$
$71$	−7.99224	+	4.07225i	−0.948504	+	0.483287i	−0.0899140	+	0.995950i	$0.528659\pi$
$72$	−7.06451	+	21.7423i	−0.832561	+	2.56236i
$73$		−	0.797185i		−	0.0933035i	−0.998911	−	0.0466517i	$-0.985145\pi$
$73$		−	0.797185i		−	0.0933035i	0.998911	−	0.0466517i	$-0.0148551\pi$
$74$	6.78819	+	2.20562i	0.789111	+	0.256398i
$75$	−1.36149	−	0.215638i	−0.157211	−	0.0248997i
$76$	−23.2594	+	3.68392i	−2.66803	+	0.422575i
$77$	−4.74340	+	1.54123i	−0.540561	+	0.175639i
$78$	−0.953615	−	2.93492i	−0.107976	−	0.332315i
$79$	−0.851516	−	0.851516i	−0.0958030	−	0.0958030i	0.657581	−	0.753384i	$-0.271580\pi$
$79$	−0.851516	−	0.851516i	−0.0958030	−	0.0958030i	−0.753384	+	0.657581i	$0.771580\pi$
$80$	19.6009	−	26.9783i	2.19144	−	3.01626i
$81$	−8.15814			−0.906460
$82$	7.26105	−	15.2773i	0.801849	−	1.68710i
$83$	11.6476			1.27849			0.639244	−	0.769004i	$-0.279247\pi$
$83$	11.6476			1.27849			0.639244	+	0.769004i	$0.279247\pi$
$84$	0.899729	−	1.23837i	0.0981684	−	0.135117i
$85$	8.32175	+	8.32175i	0.902621	+	0.902621i
$86$	9.10572	+	28.0245i	0.981895	+	3.02196i
$87$	−0.0104399	+	0.00339213i	−0.00111928	+	0.000363675i
$88$	−38.7603	+	6.13903i	−4.13187	+	0.654423i
$89$	14.7429	+	2.33504i	1.56274	+	0.247514i	0.877058	−	0.480384i	$-0.159503\pi$
$89$	14.7429	+	2.33504i	1.56274	+	0.247514i	0.685685	+	0.727898i	$0.259503\pi$
$90$	22.4794	+	7.30400i	2.36954	+	0.769909i
$91$		−	3.79941i		−	0.398287i
$92$	13.7588	−	42.3453i	1.43446	−	4.41480i
$93$	−2.09161	+	1.06573i	−0.216890	+	0.110511i
$94$	−4.27551	+	8.39117i	−0.440986	+	0.865483i
$95$	2.27872	+	14.3872i	0.233791	+	1.47610i
$96$	2.79791	−	2.79791i	0.285560	−	0.285560i
$97$	−5.62253	−	2.86482i	−0.570882	−	0.290879i	0.144623	−	0.989487i	$-0.453803\pi$
$97$	−5.62253	−	2.86482i	−0.570882	−	0.290879i	−0.715505	+	0.698608i	$0.753803\pi$
$98$	2.13717	−	1.55275i	0.215887	−	0.156851i
$99$	−6.57880	−	12.9116i	−0.661194	−	1.29767i
$100$	−18.0576	−	13.1196i	−1.80576	−	1.31196i
$101$	−1.78560	+	11.2738i	−0.177674	+	1.12179i	0.724136	+	0.689657i	$0.242239\pi$
$101$	−1.78560	+	11.2738i	−0.177674	+	1.12179i	−0.901810	+	0.432133i	$0.857761\pi$
$102$	1.82449	+	2.51120i	0.180652	+	0.248645i
$103$	−2.54170	−	3.49834i	−0.250441	−	0.344702i	0.665225	−	0.746643i	$-0.268336\pi$
$103$	−2.54170	−	3.49834i	−0.250441	−	0.344702i	−0.915666	+	0.401941i	$0.868336\pi$
$104$	4.67663	−	29.5271i	0.458581	−	2.89537i
$105$	−0.766002	−	0.556533i	−0.0747542	−	0.0543121i
$106$	−0.528268	−	1.03679i	−0.0513100	−	0.100701i
$107$	6.46096	−	4.69416i	0.624604	−	0.453802i	−0.229923	−	0.973209i	$-0.573847\pi$
$107$	6.46096	−	4.69416i	0.624604	−	0.453802i	0.854527	+	0.519407i	$0.173847\pi$
$108$	8.05430	+	4.10387i	0.775026	+	0.394895i
$109$	4.35054	−	4.35054i	0.416706	−	0.416706i	−0.467360	−	0.884067i	$-0.654795\pi$
$109$	4.35054	−	4.35054i	0.416706	−	0.416706i	0.884067	+	0.467360i	$0.154795\pi$
$110$	6.34715	+	40.0743i	0.605177	+	3.82094i
$111$	0.377142	−	0.740182i	0.0357967	−	0.0702550i
$112$	9.64844	−	4.91612i	0.911692	−	0.464530i
$113$	2.23498	−	6.87857i	0.210249	−	0.647081i	−0.789207	−	0.614127i	$-0.789508\pi$
$113$	2.23498	−	6.87857i	0.210249	−	0.647081i	0.999457	−	0.0329546i	$-0.0104917\pi$
$114$			3.84194i			0.359831i
$115$	−26.1929	−	8.51060i	−2.44250	−	0.793618i
$116$	−0.175557	−	0.0278056i	−0.0163001	−	0.00258168i
$117$	10.9032	−	1.72689i	1.00800	−	0.159651i
$118$	13.5175	−	4.39210i	1.24439	−	0.404326i
$119$	1.18095	+	3.63459i	0.108258	+	0.333182i
$120$	−5.26794	−	5.26794i	−0.480895	−	0.480895i
$121$	8.15567	−	11.2253i	0.741425	−	1.02048i
$122$	0.151322			0.0137001
$123$	−1.62401	−	1.11285i	−0.146432	−	0.100343i
$124$	−38.0109			−3.41348
$125$	0.935209	−	1.28720i	0.0836476	−	0.115131i
$126$	5.42729	+	5.42729i	0.483501	+	0.483501i
$127$	4.67978	+	14.4029i	0.415263	+	1.27805i	0.912015	+	0.410157i	$0.134526\pi$
$127$	4.67978	+	14.4029i	0.415263	+	1.27805i	−0.496752	+	0.867893i	$0.665474\pi$
$128$	6.52267	−	2.11934i	0.576528	−	0.187325i
$129$	3.38736	−	0.536505i	0.298241	−	0.0472367i
$130$	−30.5281	−	4.83517i	−2.67749	−	0.424072i
$131$	−2.62982	−	0.854480i	−0.229768	−	0.0746562i	0.191870	−	0.981420i	$-0.438545\pi$
$131$	−2.62982	−	0.854480i	−0.229768	−	0.0746562i	−0.421638	+	0.906764i	$0.638545\pi$
$132$			7.63443i			0.664492i
$133$	−1.46170	+	4.49866i	−0.126746	+	0.390084i
$134$	−0.609937	+	0.310778i	−0.0526905	+	0.0268472i
$135$	2.53848	−	4.98204i	0.218477	−	0.428786i
$136$	4.70398	+	29.6998i	0.403363	+	2.54673i
$137$	−2.31973	+	2.31973i	−0.198188	+	0.198188i	−0.799223	−	0.601035i	$-0.794755\pi$
$137$	−2.31973	+	2.31973i	−0.198188	+	0.198188i	0.601035	+	0.799223i	$0.294755\pi$
$138$	−6.47220	−	3.29775i	−0.550950	−	0.280723i
$139$	−12.3663	+	8.98467i	−1.04890	+	0.762070i	−0.972003	−	0.234969i	$-0.924501\pi$
$139$	−12.3663	+	8.98467i	−1.04890	+	0.762070i	−0.0768967	+	0.997039i	$0.524501\pi$
$140$	−6.96031	−	13.6604i	−0.588253	−	1.15451i
$141$	0.886766	+	0.644273i	0.0746792	+	0.0542576i
$142$	−3.70682	+	23.4040i	−0.311070	+	1.96402i
$143$	11.1383	+	15.3306i	0.931432	+	1.28201i
$144$	18.4931	+	25.4536i	1.54110	+	2.12114i
$145$	−0.0171993	+	0.108592i	−0.00142833	+	0.00901810i
$146$	−1.70372	−	1.23783i	−0.141001	−	0.102443i
$147$	−0.139585	−	0.273951i	−0.0115128	−	0.0225951i
$148$	10.8824	−	7.90652i	0.894528	−	0.649912i
$149$	7.48230	+	3.81242i	0.612974	+	0.312326i	0.732774	−	0.680472i	$-0.238225\pi$
$149$	7.48230	+	3.81242i	0.612974	+	0.312326i	−0.119800	+	0.992798i	$0.538225\pi$
$150$	−2.57490	+	2.57490i	−0.210240	+	0.210240i
$151$	−0.507820	−	3.20625i	−0.0413258	−	0.260921i	0.958371	−	0.285524i	$-0.0921677\pi$
$151$	−0.507820	−	3.20625i	−0.0413258	−	0.260921i	−0.999697	+	0.0246034i	$0.992168\pi$
$152$	−16.8969	+	33.1621i	−1.37052	+	2.68980i
$153$	−9.89341	+	5.04094i	−0.799835	+	0.407536i
$154$	−4.07144	+	12.5306i	−0.328086	+	1.00974i
$155$			23.5119i			1.88852i
$156$	−5.53116	−	1.79718i	−0.442847	−	0.143890i
$157$	2.49049	+	0.394456i	0.198763	+	0.0314810i	0.255022	−	0.966935i	$-0.417917\pi$
$157$	2.49049	+	0.394456i	0.198763	+	0.0314810i	−0.0562590	+	0.998416i	$0.517917\pi$
$158$	−3.14202	+	0.497648i	−0.249966	+	0.0395907i
$159$	−0.128802	+	0.0418505i	−0.0102147	+	0.00331896i
$160$	−12.2467	−	37.6915i	−0.968188	−	2.97978i
$161$	−6.32386	−	6.32386i	−0.498390	−	0.498390i
$162$	−12.6675	+	17.4354i	−0.995255	+	1.36985i
$163$	−4.51879			−0.353939			−0.176969	−	0.984216i	$-0.556629\pi$
$163$	−4.51879			−0.353939			−0.176969	+	0.984216i	$0.556629\pi$
$164$	−15.2496	−	27.9940i	−1.19079	−	2.18597i
$165$	4.72233			0.367633
$166$	18.0857	−	24.8929i	1.40373	−	1.93206i
$167$	4.80140	+	4.80140i	0.371544	+	0.371544i	0.868039	−	0.496496i	$-0.165380\pi$
$167$	4.80140	+	4.80140i	0.371544	+	0.371544i	−0.496496	+	0.868039i	$0.665380\pi$
$168$	−0.747581	−	2.30082i	−0.0576771	−	0.177512i
$169$	−1.36529	+	0.443611i	−0.105023	+	0.0341239i
$170$	30.7066	−	4.86345i	2.35509	−	0.373009i
$171$	−13.5742	−	2.14994i	−1.03804	−	0.164410i
$172$	52.8150	+	17.1606i	4.02710	+	1.30849i
$173$		−	9.82954i		−	0.747326i	−0.927565	−	0.373663i	$-0.878102\pi$
$173$		−	9.82954i		−	0.747326i	0.927565	−	0.373663i	$-0.121898\pi$
$174$	−0.00896096	+	0.0275790i	−0.000679329	+	0.00209076i
$175$	−3.99468	+	2.03539i	−0.301969	+	0.153861i
$176$	−24.5192	+	48.1217i	−1.84821	+	3.62731i
$177$	−0.258781	−	1.63388i	−0.0194512	−	0.122810i
$178$	27.8824	−	27.8824i	2.08987	−	2.08987i
$179$	13.0049	+	6.62634i	0.972034	+	0.495276i	0.866520	−	0.499142i	$-0.166351\pi$
$179$	13.0049	+	6.62634i	0.972034	+	0.495276i	0.105514	+	0.994418i	$0.466351\pi$
$180$	36.0375	−	26.1828i	2.68608	−	1.95155i
$181$	−7.33935	−	14.4043i	−0.545529	−	1.07066i	−0.985024	−	0.172416i	$-0.944843\pi$
$181$	−7.33935	−	14.4043i	−0.545529	−	1.07066i	0.439495	−	0.898245i	$-0.355157\pi$
$182$	−8.12001	−	5.89953i	−0.601895	−	0.437302i
$183$	0.00275515	−	0.0173953i	0.000203666	−	0.00128590i
$184$	−41.3619	−	56.9297i	−3.04924	−	4.19691i
$185$	−4.89063	−	6.73138i	−0.359567	−	0.494901i
$186$	−0.970094	+	6.12493i	−0.0711307	+	0.449102i
$187$	−15.4202	−	11.2034i	−1.12764	−	0.819277i
$188$	8.05763	+	15.8140i	0.587663	+	1.15335i
$189$	1.46894	−	1.06725i	0.106850	−	0.0776308i
$190$	34.2863	+	17.4697i	2.48739	+	1.26739i
$191$	−12.0158	+	12.0158i	−0.869435	+	0.869435i	−0.992410	−	0.122975i	$-0.960757\pi$
$191$	−12.0158	+	12.0158i	−0.869435	+	0.869435i	0.122975	+	0.992410i	$0.460757\pi$
$192$	−0.593500	−	3.74721i	−0.0428322	−	0.270432i
$193$	−3.13584	+	6.15444i	−0.225723	+	0.443006i	−0.975896	−	0.218235i	$-0.929970\pi$
$193$	−3.13584	+	6.15444i	−0.225723	+	0.443006i	0.750173	+	0.661241i	$0.229970\pi$
$194$	−14.8530	+	7.56798i	−1.06638	+	0.543349i
$195$	−1.11166	+	3.42133i	−0.0796075	+	0.245007i
$196$		−	4.97853i		−	0.355609i
$197$	22.0043	+	7.14963i	1.56774	+	0.509390i	0.958862	−	0.283873i	$-0.0916193\pi$
$197$	22.0043	+	7.14963i	1.56774	+	0.509390i	0.608879	+	0.793263i	$0.291619\pi$
$198$	−37.8096	−	5.98845i	−2.68701	−	0.425580i
$199$	−19.0787	+	3.02178i	−1.35246	+	0.214208i	−0.790248	−	0.612787i	$-0.790048\pi$
$199$	−19.0787	+	3.02178i	−1.35246	+	0.214208i	−0.562209	+	0.826995i	$0.690048\pi$
$200$	−33.5499	+	10.9010i	−2.37234	+	0.770819i
$201$	0.0246205	+	0.0757740i	0.00173659	+	0.00534468i
$202$	21.3216	+	21.3216i	1.50018	+	1.50018i
$203$	−0.0209854	+	0.0288839i	−0.00147289	+	0.00202725i
$204$	5.84981			0.409569
$205$	−17.3159	+	9.43273i	−1.20939	+	0.658811i
$206$	−11.4232			−0.795890
$207$	15.2733	−	21.0219i	1.06157	−	1.46112i
$208$	−29.0923	−	29.0923i	−2.01719	−	2.01719i
$209$	−7.29026	−	22.4371i	−0.504278	−	1.55201i
$210$	−2.37881	+	0.772924i	−0.164154	+	0.0533368i
$211$	−8.40863	+	1.33180i	−0.578874	+	0.0916847i	−0.439004	−	0.898485i	$-0.644669\pi$
$211$	−8.40863	+	1.33180i	−0.578874	+	0.0916847i	−0.139870	+	0.990170i	$0.544669\pi$
$212$	−2.16594	−	0.343052i	−0.148758	−	0.0235609i
$213$	2.62292	+	0.852240i	0.179720	+	0.0583945i
$214$		−	21.0970i		−	1.44216i
$215$	10.6148	−	32.6691i	0.723925	−	2.22801i
$216$	12.7295	−	6.48600i	0.866132	−	0.441316i
$217$	−3.46621	+	6.80281i	−0.235301	+	0.461805i
$218$	−2.54257	−	16.0531i	−0.172205	−	1.08726i
$219$	−0.173315	+	0.173315i	−0.0117115	+	0.0117115i
$220$	68.1312	+	34.7146i	4.59341	+	2.34046i
$221$	11.7469	−	8.53463i	0.790183	−	0.574101i
$222$	−0.996291	−	1.95533i	−0.0668667	−	0.131233i
$223$	−7.23423	−	5.25598i	−0.484440	−	0.351966i	0.318602	−	0.947889i	$-0.396787\pi$
$223$	−7.23423	−	5.25598i	−0.484440	−	0.351966i	−0.803042	+	0.595922i	$0.796787\pi$
$224$	2.01321	−	12.7109i	0.134513	−	0.849284i
$225$	−7.65660	−	10.5384i	−0.510440	−	0.702560i
$226$	−11.2303	−	15.4572i	−0.747030	−	1.02820i
$227$	−3.84450	+	24.2732i	−0.255168	+	1.61107i	0.443943	+	0.896055i	$0.353579\pi$
$227$	−3.84450	+	24.2732i	−0.255168	+	1.61107i	−0.699111	+	0.715013i	$0.746421\pi$
$228$	5.85771	+	4.25587i	0.387936	+	0.281852i
$229$	0.326984	+	0.641742i	0.0216077	+	0.0424075i	0.901558	−	0.432658i	$-0.142424\pi$
$229$	0.326984	+	0.641742i	0.0216077	+	0.0424075i	−0.879950	+	0.475066i	$0.842424\pi$
$230$	−58.8596	+	42.7640i	−3.88109	+	2.81978i
$231$	1.36633	+	0.696181i	0.0898981	+	0.0458054i
$232$	−0.198640	+	0.198640i	−0.0130414	+	0.0130414i
$233$	−2.03215	−	12.8305i	−0.133131	−	0.840554i	−0.960375	−	0.278712i	$-0.910093\pi$
$233$	−2.03215	−	12.8305i	−0.133131	−	0.840554i	0.827244	−	0.561843i	$-0.189907\pi$
$234$	13.2392	−	25.9834i	0.865473	−	1.69859i
$235$	9.78185	−	4.98410i	0.638098	−	0.325127i
$236$	8.27736	−	25.4751i	0.538810	−	1.65829i
$237$			0.370254i			0.0240506i
$238$	9.60146	+	3.11970i	0.622370	+	0.202220i
$239$	−6.43386	−	1.01902i	−0.416172	−	0.0659151i	−0.0551625	−	0.998477i	$-0.517568\pi$
$239$	−6.43386	−	1.01902i	−0.416172	−	0.0659151i	−0.361009	+	0.932562i	$0.617568\pi$
$240$	−10.1267	+	1.60391i	−0.653676	+	0.103532i
$241$	4.48798	−	1.45823i	0.289096	−	0.0939331i	−0.160879	−	0.986974i	$-0.551433\pi$
$241$	4.48798	−	1.45823i	0.289096	−	0.0939331i	0.449975	+	0.893041i	$0.351433\pi$
$242$	−11.3267	−	34.8601i	−0.728111	−	2.24090i
$243$	5.62535	+	5.62535i	0.360866	+	0.360866i
$244$	0.167626	−	0.230717i	0.0107311	−	0.0147701i
$245$	−3.07950			−0.196742
$246$	−4.90004	+	1.74281i	−0.312415	+	0.111117i
$247$	17.9719			1.14352
$248$	−35.3110	+	48.6014i	−2.24225	+	3.08619i
$249$	−2.53229	−	2.53229i	−0.160477	−	0.160477i
$250$	−1.29884	−	3.99740i	−0.0821456	−	0.252818i
$251$	5.31063	−	1.72553i	0.335204	−	0.108914i	−0.136579	−	0.990629i	$-0.543611\pi$
$251$	5.31063	−	1.72553i	0.335204	−	0.108914i	0.471783	+	0.881715i	$0.343611\pi$
$252$	14.2869	−	2.26282i	0.899988	−	0.142544i
$253$	44.0556	+	6.97772i	2.76975	+	0.438686i
$254$	38.0480	+	12.3625i	2.38734	+	0.775694i
$255$		−	3.61844i		−	0.226596i
$256$	−2.02756	+	6.24018i	−0.126722	+	0.390011i
$257$	28.1502	−	14.3432i	1.75596	−	0.894706i	0.800633	−	0.599156i	$-0.204497\pi$
$257$	28.1502	−	14.3432i	1.75596	−	0.894706i	0.955327	−	0.295551i	$-0.0955031\pi$
$258$	4.11311	−	8.07243i	0.256071	−	0.502568i
$259$	−0.422667	−	2.66861i	−0.0262632	−	0.165820i
$260$	−41.1892	+	41.1892i	−2.55445	+	2.55445i
$261$	−0.0924262	−	0.0470935i	−0.00572104	−	0.00291502i
$262$	−5.90961	+	4.29358i	−0.365097	+	0.265258i
$263$	−10.3734	−	20.3590i	−0.639653	−	1.25539i	−0.952196	−	0.305487i	$-0.901181\pi$
$263$	−10.3734	−	20.3590i	−0.639653	−	1.25539i	0.312543	−	0.949904i	$-0.398819\pi$
$264$	9.76151	+	7.09215i	0.600779	+	0.436492i
$265$	−0.212197	+	1.33976i	−0.0130351	+	0.0823007i
$266$	7.34476	+	10.1092i	0.450336	+	0.619835i
$267$	−2.69757	−	3.71289i	−0.165089	−	0.227225i
$268$	−0.201816	+	1.27422i	−0.0123279	+	0.0778351i
$269$	12.6079	+	9.16018i	0.768718	+	0.558506i	0.901572	−	0.432629i	$-0.142414\pi$
$269$	12.6079	+	9.16018i	0.768718	+	0.558506i	−0.132854	+	0.991136i	$0.542414\pi$
$270$	−6.70587	−	13.1610i	−0.408106	−	0.800954i
$271$	−3.48259	+	2.53025i	−0.211552	+	0.153702i	−0.688516	−	0.725221i	$-0.741737\pi$
$271$	−3.48259	+	2.53025i	−0.211552	+	0.153702i	0.476964	+	0.878923i	$0.341737\pi$
$272$	36.8728	+	18.7876i	2.23574	+	1.13917i
$273$	−0.826026	+	0.826026i	−0.0499934	+	0.0499934i
$274$	1.35571	+	8.55960i	0.0819013	+	0.517105i
$275$	10.1515	−	19.9235i	0.612161	−	1.20143i
$276$	−12.1975	+	6.21494i	−0.734204	+	0.374096i
$277$	4.95032	−	15.2355i	0.297436	−	0.915413i	−0.684957	−	0.728584i	$-0.740179\pi$
$277$	4.95032	−	15.2355i	0.297436	−	0.915413i	0.982392	−	0.186829i	$-0.0598211\pi$
$278$			40.3799i			2.42183i
$279$	−21.0974	−	6.85497i	−1.26307	−	0.410397i
$280$	−23.9323	−	3.79050i	−1.43023	−	0.226526i
$281$	−19.5406	+	3.09493i	−1.16570	+	0.184628i	−0.709140	−	0.705067i	$-0.750917\pi$
$281$	−19.5406	+	3.09493i	−1.16570	+	0.184628i	−0.456555	+	0.889695i	$0.650917\pi$
$282$	2.75385	−	0.894779i	0.163989	−	0.0532833i
$283$	2.12675	+	6.54546i	0.126422	+	0.389087i	0.994157	−	0.107939i	$-0.0344252\pi$
$283$	2.12675	+	6.54546i	0.126422	+	0.389087i	−0.867735	+	0.497026i	$0.834425\pi$
$284$	31.5772	+	31.5772i	1.87376	+	1.87376i
$285$	2.63250	−	3.62332i	0.155936	−	0.214627i
$286$	50.0590			2.96005
$287$	−6.40069	+	0.176449i	−0.377821	+	0.0104154i
$288$	37.3915			2.20331
$289$	1.40781	−	1.93768i	0.0828123	−	0.113981i
$290$	0.205374	+	0.205374i	0.0120600	+	0.0120600i
$291$	0.599550	+	1.84523i	0.0351462	+	0.108169i
$292$	−3.77456	+	1.22643i	−0.220890	+	0.0717714i
$293$	15.8362	−	2.50821i	0.925163	−	0.146531i	0.324365	−	0.945932i	$-0.394850\pi$
$293$	15.8362	−	2.50821i	0.925163	−	0.146531i	0.600798	+	0.799401i	$0.294850\pi$
$294$	−0.802220	−	0.127059i	−0.0467864	−	0.00741024i
$295$	−15.7578	−	5.12001i	−0.917454	−	0.298099i
$296$		−	21.2593i		−	1.23567i
$297$	−2.79842	+	8.61264i	−0.162381	+	0.499756i
$298$	19.7659	−	10.0712i	1.14501	−	0.583412i
$299$	−15.4263	+	30.2758i	−0.892124	+	1.75089i
$300$	1.07356	+	6.77819i	0.0619820	+	0.391339i
$301$	7.88742	−	7.88742i	0.454623	−	0.454623i
$302$	−7.64082	−	3.89319i	−0.439680	−	0.224028i
$303$	2.83924	−	2.06283i	0.163110	−	0.118506i
$304$	23.2541	+	45.6388i	1.33372	+	2.61756i
$305$	−0.142711	−	0.103686i	−0.00817163	−	0.00593704i
$306$	−4.58859	+	28.9712i	−0.262312	+	1.65618i
$307$	1.87473	+	2.58034i	0.106996	+	0.147268i	0.859157	−	0.511712i	$-0.170988\pi$
$307$	1.87473	+	2.58034i	0.106996	+	0.147268i	−0.752161	+	0.658980i	$0.770988\pi$
$308$	14.5950	+	20.0883i	0.831626	+	1.14464i
$309$	−0.207984	+	1.31316i	−0.0118318	+	0.0747029i
$310$	50.2490	+	36.5081i	2.85395	+	2.07352i
$311$	3.16675	+	6.21510i	0.179570	+	0.352426i	0.963193	−	0.268811i	$-0.0866306\pi$
$311$	3.16675	+	6.21510i	0.179570	+	0.352426i	−0.783623	+	0.621237i	$0.786631\pi$
$312$	−7.43618	+	5.40270i	−0.420991	+	0.305868i
$313$	−10.6988	−	5.45129i	−0.604729	−	0.308125i	0.124686	−	0.992196i	$-0.460208\pi$
$313$	−10.6988	−	5.45129i	−0.604729	−	0.308125i	−0.729415	+	0.684071i	$0.760208\pi$
$314$	4.71013	−	4.71013i	0.265808	−	0.265808i
$315$	−1.39968	−	8.83724i	−0.0788631	−	0.497922i
$316$	−2.72180	+	5.34183i	−0.153113	+	0.300501i
$317$	−13.3403	+	6.79723i	−0.749266	+	0.381770i	−0.786544	−	0.617535i	$-0.788132\pi$
$317$	−13.3403	+	6.79723i	−0.749266	+	0.381770i	0.0372772	+	0.999305i	$0.488132\pi$
$318$	−0.110556	+	0.340256i	−0.00619967	+	0.0190806i
$319$		−	0.178066i		−	0.00996981i
$320$	−36.1396	−	11.7425i	−2.02026	−	0.656424i
$321$	−2.42522	−	0.384117i	−0.135363	−	0.0214393i
$322$	−23.3345	+	3.69583i	−1.30038	+	0.205960i
$323$	−17.1922	+	5.58610i	−0.956602	+	0.310819i
$324$	12.5509	+	38.6277i	0.697272	+	2.14598i
$325$	12.0449	+	12.0449i	0.668130	+	0.668130i
$326$	−7.01653	+	9.65743i	−0.388610	+	0.534875i
$327$	−1.89169			−0.104611
$328$	−49.9600	−	6.50723i	−2.75858	−	0.359301i
$329$	3.56500			0.196545
$330$	7.33258	−	10.0924i	0.403645	−	0.555570i
$331$	−5.91842	−	5.91842i	−0.325306	−	0.325306i	0.525492	−	0.850798i	$-0.323881\pi$
$331$	−5.91842	−	5.91842i	−0.325306	−	0.325306i	−0.850798	+	0.525492i	$0.823881\pi$
$332$	−17.9192	−	55.1497i	−0.983445	−	3.02673i
$333$	7.46600	−	2.42585i	0.409134	−	0.132936i
$334$	17.7168	−	2.80606i	0.969419	−	0.153541i
$335$	0.788174	+	0.124835i	0.0430626	+	0.00682044i
$336$	−3.16646	−	1.02885i	−0.172745	−	0.0561281i
$337$			4.61025i			0.251136i	0.992085	+	0.125568i	$0.0400753\pi$
$337$			4.61025i			0.251136i	−0.992085	+	0.125568i	$0.959925\pi$
$338$	−1.17188	+	3.60668i	−0.0637420	+	0.196178i
$339$	−1.98137	+	1.00956i	−0.107613	+	0.0548316i
$340$	26.5998	−	52.2049i	1.44257	−	2.83121i
$341$	−5.95695	−	37.6107i	−0.322587	−	2.03673i
$342$	−25.6720	+	25.6720i	−1.38818	+	1.38818i
$343$	−0.891007	−	0.453990i	−0.0481098	−	0.0245132i
$344$	71.0054	−	51.5884i	3.82835	−	2.78146i
$345$	3.84429	+	7.54485i	0.206970	+	0.406201i
$346$	−21.0074	−	15.2628i	−1.12937	−	0.820532i
$347$	2.56395	−	16.1882i	0.137640	−	0.869027i	−0.818156	−	0.574996i	$-0.805003\pi$
$347$	2.56395	−	16.1882i	0.137640	−	0.869027i	0.955796	−	0.294030i	$-0.0949966\pi$
$348$	0.0321225	+	0.0442129i	0.00172195	+	0.00237006i
$349$	19.0518	+	26.2225i	1.01982	+	1.40366i	0.912331	+	0.409454i	$0.134281\pi$
$349$	19.0518	+	26.2225i	1.01982	+	1.40366i	0.107488	+	0.994206i	$0.465719\pi$
$350$	−1.85274	+	11.6978i	−0.0990334	+	0.625272i
$351$	−5.58111	−	4.05491i	−0.297898	−	0.216435i
$352$	29.1399	+	57.1902i	1.55316	+	3.04825i
$353$	−16.6472	+	12.0949i	−0.886040	+	0.643745i	−0.934842	−	0.355063i	$-0.884459\pi$
$353$	−16.6472	+	12.0949i	−0.886040	+	0.643745i	0.0488028	+	0.998808i	$0.484459\pi$
$354$	−3.89370	−	1.98394i	−0.206948	−	0.105445i
$355$	19.5323	−	19.5323i	1.03667	−	1.03667i
$356$	−11.6251	−	73.3979i	−0.616128	−	3.89008i
$357$	0.533443	−	1.04694i	0.0282328	−	0.0554100i
$358$	34.3550	−	17.5047i	1.81572	−	0.925154i
$359$	5.80113	−	17.8540i	0.306172	−	0.942300i	−0.673066	−	0.739583i	$-0.735023\pi$
$359$	5.80113	−	17.8540i	0.306172	−	0.942300i	0.979237	−	0.202717i	$-0.0649771\pi$
$360$		−	70.4012i		−	3.71047i
$361$	−3.20939	−	1.04279i	−0.168915	−	0.0548839i
$362$	−42.1806	−	6.68075i	−2.21696	−	0.351132i
$363$	−4.21359	+	0.667368i	−0.221156	+	0.0350277i
$364$	−17.9897	+	5.84521i	−0.942917	+	0.306372i
$365$	0.758616	+	2.33478i	0.0397078	+	0.122208i
$366$	−0.0328987	−	0.0328987i	−0.00171965	−	0.00171965i
$367$	13.5858	−	18.6992i	0.709172	−	0.976092i	−0.290642	−	0.956832i	$-0.593869\pi$
$367$	13.5858	−	18.6992i	0.709172	−	0.976092i	0.999815	−	0.0192599i	$-0.00613100\pi$
$368$	−96.8442			−5.04835
$369$	−3.41557	−	18.2878i	−0.177807	−	0.952027i
$370$	−21.9800			−1.14269
$371$	−0.258907	+	0.356356i	−0.0134418	+	0.0185011i
$372$	8.26391	+	8.26391i	0.428464	+	0.428464i
$373$	−6.06314	−	18.6604i	−0.313938	−	0.966200i	−0.976190	−	0.216919i	$-0.930399\pi$
$373$	−6.06314	−	18.6604i	−0.313938	−	0.966200i	0.662252	−	0.749281i	$-0.269601\pi$
$374$	−47.8874	+	15.5596i	−2.47620	+	0.804566i
$375$	−0.483172	+	0.0765269i	−0.0249509	+	0.00395183i
$376$	27.7053	+	4.38809i	1.42879	+	0.226299i
$377$	0.129009	+	0.0419177i	0.00664432	+	0.00215887i
$378$		−	4.79654i		−	0.246707i
$379$	−6.78426	+	20.8798i	−0.348484	+	1.07252i	0.611208	+	0.791470i	$0.290684\pi$
$379$	−6.78426	+	20.8798i	−0.348484	+	1.07252i	−0.959692	+	0.281054i	$0.909316\pi$
$380$	64.6159	−	32.9235i	3.31473	−	1.68894i
$381$	2.11389	−	4.14874i	0.108298	−	0.212546i
$382$	7.02236	+	44.3374i	0.359295	+	2.26850i
$383$	−21.3849	+	21.3849i	−1.09272	+	1.09272i	−0.0974780	+	0.995238i	$0.531078\pi$
$383$	−21.3849	+	21.3849i	−1.09272	+	1.09272i	−0.995238	+	0.0974780i	$0.968922\pi$
$384$	−1.87885	−	0.957321i	−0.0958796	−	0.0488531i
$385$	12.4257	−	9.02782i	0.633274	−	0.460100i
$386$	8.28393	+	16.2581i	0.421641	+	0.827517i
$387$	26.2194	+	19.0495i	1.33281	+	0.968342i
$388$	−4.91456	+	31.0293i	−0.249499	+	1.57527i
$389$	−5.19605	−	7.15175i	−0.263450	−	0.362608i	0.656715	−	0.754139i	$-0.271946\pi$
$389$	−5.19605	−	7.15175i	−0.263450	−	0.362608i	−0.920165	+	0.391531i	$0.871946\pi$
$390$	5.58586	+	7.68827i	0.282851	+	0.389311i
$391$	5.34662	−	33.7572i	0.270390	−	1.70718i
$392$	−6.36563	−	4.62490i	−0.321513	−	0.233593i
$393$	0.385974	+	0.757516i	0.0194698	+	0.0382116i
$394$	49.4471	−	35.9254i	2.49111	−	1.80990i
$395$	3.30422	+	1.68358i	0.166253	+	0.0847104i
$396$	−51.0136	+	51.0136i	−2.56353	+	2.56353i
$397$	4.99282	+	31.5234i	0.250582	+	1.58211i	0.716694	+	0.697388i	$0.245655\pi$
$397$	4.99282	+	31.5234i	0.250582	+	1.58211i	−0.466111	+	0.884726i	$0.654345\pi$
$398$	−23.1664	+	45.4666i	−1.16123	+	2.27904i
$399$	1.29584	−	0.660261i	0.0648729	−	0.0330544i
$400$	−15.0024	+	46.1725i	−0.750118	+	2.30863i
$401$			6.41647i			0.320423i	0.987083	+	0.160212i	$0.0512177\pi$
$401$			6.41647i			0.320423i	−0.987083	+	0.160212i	$0.948782\pi$
$402$	0.200171	+	0.0650396i	0.00998364	+	0.00324388i
$403$	28.6513	+	4.53792i	1.42722	+	0.226050i
$404$	56.1272	−	8.88967i	2.79243	−	0.442278i
$405$	23.8934	−	7.76344i	1.18727	−	0.385768i
$406$	0.0291449	+	0.0896988i	0.00144644	+	0.00445168i
$407$	9.52872	+	9.52872i	0.472321	+	0.472321i
$408$	5.43430	−	7.47967i	0.269038	−	0.370299i
$409$	−24.3661			−1.20483			−0.602414	−	0.798184i	$-0.705794\pi$
$409$	−24.3661			−1.20483			−0.602414	+	0.798184i	$0.705794\pi$
$410$	−6.72782	+	51.6537i	−0.332264	+	2.55099i
$411$	1.00866			0.0497534
$412$	−12.6539	+	17.4166i	−0.623413	+	0.858055i
$413$	−3.80446	−	3.80446i	−0.187205	−	0.187205i
$414$	−21.2118	−	65.2832i	−1.04250	−	3.20850i
$415$	−34.1132	+	11.0841i	−1.67455	+	0.544095i
$416$	−48.2940	+	7.64902i	−2.36781	+	0.375024i
$417$	4.64190	+	0.735204i	0.227315	+	0.0360031i
$418$	−59.2719	−	19.2586i	−2.89909	−	0.941970i
$419$		−	5.88463i		−	0.287483i	−0.989615	−	0.143741i	$-0.954087\pi$
$419$		−	5.88463i		−	0.287483i	0.989615	−	0.143741i	$-0.0459134\pi$
$420$	−1.45665	+	4.48311i	−0.0710773	+	0.218754i
$421$	−20.2263	+	10.3058i	−0.985770	+	0.502275i	−0.871088	−	0.491127i	$-0.836585\pi$
$421$	−20.2263	+	10.3058i	−0.985770	+	0.502275i	−0.114682	+	0.993402i	$0.536585\pi$
$422$	−10.2102	+	20.0386i	−0.497025	+	0.975466i
$423$	1.62035	+	10.2305i	0.0787840	+	0.497422i
$424$	−2.45073	+	2.45073i	−0.119018	+	0.119018i
$425$	−15.2662	−	7.77852i	−0.740520	−	0.377314i
$426$	5.89412	−	4.28233i	0.285571	−	0.207480i
$427$	−0.0260056	−	0.0510389i	−0.00125850	−	0.00246995i
$428$	−32.1661	−	23.3700i	−1.55481	−	1.12963i
$429$	0.911433	−	5.75456i	0.0440044	−	0.277833i
$430$	−53.3373	−	73.4125i	−2.57215	−	3.54026i
$431$	−5.27752	−	7.26388i	−0.254209	−	0.349889i	0.662771	−	0.748822i	$-0.269380\pi$
$431$	−5.27752	−	7.26388i	−0.254209	−	0.349889i	−0.916980	+	0.398934i	$0.869380\pi$
$432$	3.07578	−	19.4197i	0.147983	−	0.934330i
$433$	2.43989	+	1.77269i	0.117254	+	0.0851899i	0.644867	−	0.764295i	$-0.276913\pi$
$433$	2.43989	+	1.77269i	0.117254	+	0.0851899i	−0.527613	+	0.849485i	$0.676913\pi$
$434$	9.15664	+	17.9709i	0.439533	+	0.862632i
$435$	0.0273482	−	0.0198696i	0.00131124	−	0.000952675i
$436$	−27.2923	−	13.9061i	−1.30706	−	0.665983i
$437$	29.9130	−	29.9130i	1.43093	−	1.43093i
$438$	0.101290	+	0.639518i	0.00483981	+	0.0305574i
$439$	−0.601787	+	1.18107i	−0.0287217	+	0.0563695i	−0.904921	−	0.425579i	$-0.860071\pi$
$439$	−0.601787	+	1.18107i	−0.0287217	+	0.0563695i	0.876200	+	0.481948i	$0.160071\pi$
$440$	107.679	−	54.8649i	5.13337	−	2.61558i
$441$	0.897839	−	2.76326i	0.0427542	−	0.131584i
$442$		−	38.3573i		−	1.82447i
$443$	23.2497	+	7.55429i	1.10463	+	0.358915i	0.803882	−	0.594789i	$-0.202765\pi$
$443$	23.2497	+	7.55429i	1.10463	+	0.358915i	0.300745	+	0.953704i	$0.402765\pi$
$444$	−4.08487	−	0.646981i	−0.193860	−	0.0307043i
$445$	−45.4008	+	7.19077i	−2.15220	+	0.340875i
$446$	−22.4659	+	7.29960i	−1.06379	+	0.345646i
$447$	−0.797864	−	2.45557i	−0.0377377	−	0.116145i
$448$	−8.72532	−	8.72532i	−0.412233	−	0.412233i
$449$	11.1787	−	15.3861i	0.527553	−	0.726115i	−0.459202	−	0.888332i	$-0.651864\pi$
$449$	11.1787	−	15.3861i	0.527553	−	0.726115i	0.986755	+	0.162217i	$0.0518645\pi$
$450$	−34.4111			−1.62216
$451$	25.3094	−	19.4761i	1.19177	−	0.917096i
$452$	−36.0075			−1.69365
$453$	−0.586662	+	0.807471i	−0.0275638	+	0.0379383i
$454$	45.9065	+	45.9065i	2.15450	+	2.15450i
$455$	3.61559	+	11.1277i	0.169502	+	0.521672i
$456$	10.8833	−	3.53619i	0.509656	−	0.165597i
$457$	−32.8445	+	5.20206i	−1.53640	+	0.243342i	−0.866526	−	0.499131i	$-0.833653\pi$
$457$	−32.8445	+	5.20206i	−1.53640	+	0.243342i	−0.669876	+	0.742473i	$0.733653\pi$
$458$	1.87924	+	0.297642i	0.0878110	+	0.0139079i
$459$	6.59936	+	2.14426i	0.308032	+	0.100086i
$460$			137.113i			6.39293i
$461$	−3.47942	+	10.7086i	−0.162053	+	0.498748i	−0.998807	−	0.0488311i	$-0.984450\pi$
$461$	−3.47942	+	10.7086i	−0.162053	+	0.498748i	0.836754	+	0.547579i	$0.184450\pi$
$462$	3.60943	−	1.83910i	0.167926	−	0.0855625i
$463$	−8.33641	+	16.3611i	−0.387426	+	0.760366i	−0.999538	−	0.0304054i	$-0.990320\pi$
$463$	−8.33641	+	16.3611i	−0.387426	+	0.760366i	0.612112	+	0.790771i	$0.290320\pi$
$464$	0.0604793	+	0.381851i	0.00280768	+	0.0177270i
$465$	5.11169	−	5.11169i	0.237049	−	0.237049i
$466$	−30.5764	−	15.5795i	−1.41643	−	0.721705i
$467$	−30.6274	+	22.2521i	−1.41727	+	1.02970i	−0.425052	+	0.905169i	$0.639744\pi$
$467$	−30.6274	+	22.2521i	−1.41727	+	1.02970i	−0.992215	+	0.124536i	$0.960256\pi$
$468$	−24.9506	−	48.9683i	−1.15334	−	2.26356i
$469$	0.209643	+	0.152314i	0.00968040	+	0.00703322i
$470$	4.53685	−	28.6446i	0.209269	−	1.32127i
$471$	−0.455697	−	0.627213i	−0.0209974	−	0.0289005i
$472$	−24.8835	−	34.2491i	−1.14535	−	1.57644i
$473$	−8.70294	+	54.9482i	−0.400162	+	2.52652i
$474$	0.791296	+	0.574910i	0.0363454	+	0.0264065i
$475$	−9.62776	−	18.8955i	−0.441752	−	0.866987i
$476$	15.3925	−	11.1833i	0.705512	−	0.512584i
$477$	−1.14031	−	0.581017i	−0.0522112	−	0.0266029i
$478$	−12.1680	+	12.1680i	−0.556550	+	0.556550i
$479$	4.84658	+	30.6001i	0.221446	+	1.39815i	0.808447	+	0.588569i	$0.200308\pi$
$479$	4.84658	+	30.6001i	0.221446	+	1.39815i	−0.587001	+	0.809586i	$0.699692\pi$
$480$	−5.53192	+	10.8570i	−0.252496	+	0.495552i
$481$	−9.14668	+	4.66047i	−0.417053	+	0.212499i
$482$	3.85220	−	11.8559i	0.175463	−	0.540019i
$483$			2.74973i			0.125117i
$484$	−65.6974	−	21.3464i	−2.98625	−	0.970290i
$485$	19.1934	+	3.03993i	0.871527	+	0.138036i
$486$	20.7571	−	3.28760i	0.941560	−	0.149129i
$487$	14.1574	−	4.60003i	0.641535	−	0.208447i	0.0298570	−	0.999554i	$-0.490495\pi$
$487$	14.1574	−	4.60003i	0.641535	−	0.208447i	0.611678	+	0.791107i	$0.290495\pi$
$488$	−0.139279	−	0.428658i	−0.00630488	−	0.0194044i
$489$	0.982423	+	0.982423i	0.0444267	+	0.0444267i
$490$	−4.78169	+	6.58143i	−0.216015	+	0.297319i
$491$	37.2241			1.67990			0.839950	−	0.542665i	$-0.182584\pi$
$491$	37.2241			1.67990			0.839950	+	0.542665i	$0.182584\pi$
$492$	−2.77075	+	9.40154i	−0.124915	+	0.423854i
$493$	−0.136442			−0.00614503
$494$	27.9058	−	38.4090i	1.25554	−	1.72810i
$495$	31.5548	+	31.5548i	1.41828	+	1.41828i
$496$	25.5485	+	78.6303i	1.14716	+	3.53060i
$497$	8.53088	−	2.77185i	0.382662	−	0.124335i
$498$	−9.34393	+	1.47993i	−0.418712	+	0.0663174i
$499$	−12.2347	−	1.93778i	−0.547699	−	0.0867470i	−0.123548	−	0.992339i	$-0.539427\pi$
$499$	−12.2347	−	1.93778i	−0.547699	−	0.0867470i	−0.424151	+	0.905592i	$0.639427\pi$
$500$	−7.53351	−	2.44778i	−0.336909	−	0.109468i
$501$		−	2.08773i		−	0.0932730i
$502$	4.55831	−	14.0290i	0.203447	−	0.626146i
$503$	−27.9935	+	14.2634i	−1.24817	+	0.635975i	−0.948109	−	0.317945i	$-0.897007\pi$
$503$	−27.9935	+	14.2634i	−1.24817	+	0.635975i	−0.300061	+	0.953920i	$0.597007\pi$
$504$	10.3788	−	20.3695i	0.462308	−	0.907330i
$505$	−5.49877	−	34.7178i	−0.244692	−	1.54492i
$506$	83.3198	−	83.3198i	3.70402	−	3.70402i
$507$	0.393271	+	0.200382i	0.0174658	+	0.00889927i
$508$	60.9961	−	44.3162i	2.70626	−	1.96622i
$509$	11.2189	+	22.0184i	0.497270	+	0.975948i	0.994138	+	0.108122i	$0.0344836\pi$
$509$	11.2189	+	22.0184i	0.497270	+	0.975948i	−0.496867	+	0.867827i	$0.665516\pi$
$510$	−7.73323	−	5.61852i	−0.342433	−	0.248792i
$511$	−0.124707	+	0.787371i	−0.00551672	+	0.0348312i
$512$	18.2505	+	25.1197i	0.806567	+	1.11014i
$513$	5.04826	+	6.94834i	0.222886	+	0.306777i
$514$	13.0561	−	82.4332i	0.575881	−	3.63597i
$515$	10.7732	+	7.82716i	0.474722	+	0.344906i
$516$	−7.75157	−	15.2133i	−0.341244	−	0.669728i
$517$	−14.3847	+	10.4511i	−0.632639	+	0.459639i
$518$	−6.35958	−	3.24037i	−0.279424	−	0.142374i
$519$	−2.13703	+	2.13703i	−0.0938051	+	0.0938051i
$520$	14.4017	+	90.9287i	0.631556	+	3.98749i
$521$	10.8025	−	21.2011i	0.473267	−	0.928839i	−0.523766	−	0.851862i	$-0.675473\pi$
$521$	10.8025	−	21.2011i	0.473267	−	0.928839i	0.997033	−	0.0769765i	$-0.0245267\pi$
$522$	−0.244161	+	0.124406i	−0.0106867	+	0.00544512i
$523$	3.69743	−	11.3795i	0.161677	−	0.497592i	−0.837099	−	0.547052i	$-0.815750\pi$
$523$	3.69743	−	11.3795i	0.161677	−	0.497592i	0.998776	+	0.0494600i	$0.0157500\pi$
$524$			13.7664i			0.601388i
$525$	1.31099	+	0.425966i	0.0572163	+	0.0185907i
$526$	−59.6180	−	9.44257i	−2.59947	−	0.411716i
$527$	−28.8189	+	4.56446i	−1.25537	+	0.198831i
$528$	15.7928	−	5.13138i	0.687292	−	0.223315i
$529$	17.6086	+	54.1936i	0.765589	+	2.35624i
$530$	2.53381	+	2.53381i	0.110062	+	0.110062i
$531$	9.18846	−	12.6468i	0.398745	−	0.548826i
$532$	23.5493			1.02099
$533$	8.15254	+	22.9215i	0.353126	+	0.992839i
$534$	−12.1237			−0.524645
$535$	−14.4557	+	19.8965i	−0.624973	+	0.860202i
$536$	1.44175	+	1.44175i	0.0622742	+	0.0622742i
$537$	−1.38676	−	4.26801i	−0.0598431	−	0.184178i
$538$	39.1538	−	12.7218i	1.68804	−	0.548477i
$539$	4.92611	−	0.780218i	0.212182	−	0.0336064i
$540$	−27.4946	−	4.35472i	−1.18318	−	0.187397i
$541$	0.255279	+	0.0829453i	0.0109753	+	0.00356610i	0.314500	−	0.949258i	$-0.398163\pi$
$541$	0.255279	+	0.0829453i	0.0109753	+	0.00356610i	−0.303524	+	0.952824i	$0.598163\pi$
$542$			11.3717i			0.488458i
$543$	−1.53598	+	4.72725i	−0.0659151	+	0.202866i
$544$	43.8215	−	22.3282i	1.87883	−	0.957312i
$545$	−8.60173	+	16.8818i	−0.368458	+	0.723139i
$546$	0.482751	+	3.04797i	0.0206598	+	0.130441i
$547$	4.05576	−	4.05576i	0.173412	−	0.173412i	−0.615065	−	0.788477i	$-0.710870\pi$
$547$	4.05576	−	4.05576i	0.173412	−	0.173412i	0.788477	+	0.615065i	$0.210870\pi$
$548$	14.5524	+	7.41480i	0.621646	+	0.316745i
$549$	0.134646	−	0.0978262i	0.00574656	−	0.00417512i
$550$	−26.8172	−	52.6317i	−1.14349	−	2.24423i
$551$	−0.136626	−	0.0992646i	−0.00582046	−	0.00422881i
$552$	−3.38459	+	21.3694i	−0.144058	+	0.909544i
$553$	0.707826	+	0.974239i	0.0300998	+	0.0414288i
$554$	−24.8743	−	34.2366i	−1.05681	−	1.45457i
$555$	−0.400194	+	2.52673i	−0.0169873	+	0.107254i
$556$	61.5662	+	44.7305i	2.61099	+	1.89699i
$557$	−13.0997	−	25.7095i	−0.555050	−	1.08935i	−0.982666	−	0.185387i	$-0.940646\pi$
$557$	−13.0997	−	25.7095i	−0.555050	−	1.08935i	0.427615	−	0.903961i	$-0.359354\pi$
$558$	−47.4092	+	34.4448i	−2.00699	+	1.45817i
$559$	−37.7613	−	19.2404i	−1.59713	−	0.813781i
$560$	−23.5799	+	23.5799i	−0.996432	+	0.996432i
$561$	0.916763	+	5.78822i	0.0387058	+	0.244379i
$562$	−23.7272	+	46.5673i	−1.00087	+	1.96432i
$563$	−8.47370	+	4.31756i	−0.357124	+	0.181964i	−0.623342	−	0.781949i	$-0.714226\pi$
$563$	−8.47370	+	4.31756i	−0.357124	+	0.181964i	0.266219	+	0.963913i	$0.414226\pi$
$564$	1.68630	−	5.18990i	0.0710061	−	0.218534i
$565$			22.2727i			0.937018i
$566$	17.2911	+	5.61821i	0.726798	+	0.236151i
$567$	8.05770	+	1.27621i	0.338392	+	0.0535960i
$568$	69.7094	−	11.0409i	2.92494	−	0.463265i
$569$	−22.3084	+	7.24845i	−0.935218	+	0.303871i	−0.736695	−	0.676225i	$-0.763615\pi$
$569$	−22.3084	+	7.24845i	−0.935218	+	0.303871i	−0.198523	+	0.980096i	$0.563615\pi$
$570$	−3.65606	−	11.2522i	−0.153136	−	0.471303i
$571$	−4.67814	−	4.67814i	−0.195774	−	0.195774i	0.602412	−	0.798186i	$-0.294207\pi$
$571$	−4.67814	−	4.67814i	−0.195774	−	0.195774i	−0.798186	+	0.602412i	$0.794207\pi$
$572$	55.4524	−	76.3237i	2.31858	−	3.19125i
$573$	5.22469			0.218265
$574$	−9.56155	+	13.9534i	−0.399092	+	0.582402i
$575$	40.0958			1.67211
$576$	21.0732	−	29.0048i	0.878051	−	1.20853i
$577$	−21.2112	−	21.2112i	−0.883035	−	0.883035i	0.110807	−	0.993842i	$-0.464656\pi$
$577$	−21.2112	−	21.2112i	−0.883035	−	0.883035i	−0.993842	+	0.110807i	$0.964656\pi$
$578$	−1.95519	−	6.01746i	−0.0813252	−	0.250293i
$579$	2.01979	−	0.656269i	0.0839395	−	0.0272736i
$580$	0.540630	−	0.0856273i	0.0224484	−	0.00355548i
$581$	−11.5042	−	1.82208i	−0.477274	−	0.0755928i
$582$	4.87451	+	1.58383i	0.202055	+	0.0656517i
$583$		−	2.19690i		−	0.0909862i
$584$	−1.93832	+	5.96553i	−0.0802082	+	0.246856i
$585$	−30.2896	+	15.4333i	−1.25232	+	0.638090i
$586$	19.2292	−	37.7394i	0.794350	−	1.55900i
$587$	6.37707	+	40.2632i	0.263210	+	1.66184i	0.665551	+	0.746352i	$0.268196\pi$
$587$	6.37707	+	40.2632i	0.263210	+	1.66184i	−0.402342	+	0.915490i	$0.631804\pi$
$588$	−1.08238	+	1.08238i	−0.0446364	+	0.0446364i
$589$	−32.1785	−	16.3958i	−1.32589	−	0.675575i
$590$	−35.4102	+	25.7270i	−1.45782	+	1.05916i
$591$	−3.22953	−	6.33832i	−0.132845	−	0.260724i
$592$	−23.6701	−	17.1973i	−0.972834	−	0.706805i
$593$	−1.95218	+	12.3256i	−0.0801664	+	0.506151i	0.914632	+	0.404287i	$0.132480\pi$
$593$	−1.95218	+	12.3256i	−0.0801664	+	0.506151i	−0.994798	+	0.101863i	$0.967520\pi$
$594$	14.0615	+	19.3539i	0.576949	+	0.794102i
$595$	−6.91749	−	9.52111i	−0.283589	−	0.390327i
$596$	6.54015	−	41.2929i	0.267895	−	1.69142i
$597$	4.80484	+	3.49092i	0.196649	+	0.142874i
$598$	40.7514	+	79.9792i	1.66645	+	3.27059i
$599$	0.475103	−	0.345182i	0.0194122	−	0.0141038i	−0.578037	−	0.816011i	$-0.696181\pi$
$599$	0.475103	−	0.345182i	0.0194122	−	0.0141038i	0.597449	+	0.801907i	$0.296181\pi$
$600$	9.66402	+	4.92406i	0.394532	+	0.201024i
$601$	17.1114	−	17.1114i	0.697989	−	0.697989i	−0.265988	−	0.963976i	$-0.585698\pi$
$601$	17.1114	−	17.1114i	0.697989	−	0.697989i	0.963976	+	0.265988i	$0.0856981\pi$
$602$	−4.60961	−	29.1039i	−0.187874	−	1.18619i
$603$	−0.341810	+	0.670840i	−0.0139196	+	0.0273187i
$604$	−14.3999	+	7.33711i	−0.585923	+	0.298543i
$605$	−13.2039	+	40.6376i	−0.536817	+	1.65215i
$606$		−	9.27099i		−	0.376608i
$607$	32.3328	+	10.5056i	1.31235	+	0.426408i	0.879861	−	0.475231i	$-0.157636\pi$
$607$	32.3328	+	10.5056i	1.31235	+	0.426408i	0.432488	+	0.901640i	$0.357636\pi$
$608$	60.1248	+	9.52284i	2.43838	+	0.386202i
$609$	0.0108420	−	0.00171721i	0.000439341	−	6.95847e-5i
$610$	−0.443189	+	0.144001i	−0.0179442	+	0.00583043i
$611$	−4.18561	−	12.8820i	−0.169332	−	0.521149i
$612$	39.0887	+	39.0887i	1.58007	+	1.58007i
$613$	−26.9378	+	37.0767i	−1.08801	+	1.49751i	−0.237620	+	0.971358i	$0.576367\pi$
$613$	−26.9378	+	37.0767i	−1.08801	+	1.49751i	−0.850388	+	0.526156i	$0.823633\pi$
$614$	8.42562			0.340030
$615$	5.81538	+	1.71387i	0.234499	+	0.0691098i
$616$	39.2435			1.58117
$617$	0.616933	−	0.849135i	0.0248368	−	0.0341849i	−0.796418	−	0.604747i	$-0.793274\pi$
$617$	0.616933	−	0.849135i	0.0248368	−	0.0341849i	0.821255	+	0.570562i	$0.193274\pi$
$618$	2.48350	+	2.48350i	0.0999009	+	0.0999009i
$619$	10.8602	+	33.4243i	0.436509	+	1.34344i	0.891532	+	0.452957i	$0.149631\pi$
$619$	10.8602	+	33.4243i	0.436509	+	1.34344i	−0.455023	+	0.890480i	$0.650369\pi$
$620$	111.326	−	36.1719i	4.47095	−	1.45270i
$621$	−16.0385	+	2.54025i	−0.643602	+	0.101937i
$622$	18.1999	+	2.88258i	0.729750	+	0.115581i
$623$	−14.1961	−	4.61259i	−0.568755	−	0.184800i
$624$			12.6498i			0.506398i
$625$	−8.44123	+	25.9794i	−0.337649	+	1.03918i
$626$	−28.2628	+	14.4006i	−1.12961	+	0.575564i
$627$	−3.29306	+	6.46299i	−0.131512	+	0.258107i
$628$	−1.96381	−	12.3990i	−0.0783645	−	0.494774i
$629$	7.30130	−	7.30130i	0.291122	−	0.291122i
$630$	−21.0600	−	10.7306i	−0.839052	−	0.427519i
$631$	25.1340	−	18.2609i	1.00057	−	0.726956i	0.0383593	−	0.999264i	$-0.487787\pi$
$631$	25.1340	−	18.2609i	1.00057	−	0.726956i	0.962210	+	0.272308i	$0.0877869\pi$
$632$	4.30168	+	8.44253i	0.171112	+	0.335826i
$633$	2.11765	+	1.53857i	0.0841692	+	0.0611525i
$634$	−6.18727	+	39.0649i	−0.245728	+	1.55147i
$635$	−27.4121	−	37.7295i	−1.08782	−	1.49725i
$636$	0.396312	+	0.545477i	0.0157148	+	0.0216296i
$637$	−0.594359	+	3.75264i	−0.0235494	+	0.148685i
$638$	−0.380559	−	0.276492i	−0.0150665	−	0.0109464i
$639$	11.8318	+	23.2212i	0.468058	+	0.918616i
$640$	−17.0867	+	12.4142i	−0.675410	+	0.490714i
$641$	−36.5985	−	18.6479i	−1.44555	−	0.736546i	−0.457291	−	0.889317i	$-0.651180\pi$
$641$	−36.5985	−	18.6479i	−1.44555	−	0.736546i	−0.988262	+	0.152771i	$0.951180\pi$
$642$	−4.58667	+	4.58667i	−0.181022	+	0.181022i
$643$	1.64758	+	10.4024i	0.0649744	+	0.410232i	0.998642	+	0.0520920i	$0.0165889\pi$
$643$	1.64758	+	10.4024i	0.0649744	+	0.410232i	−0.933668	+	0.358140i	$0.883411\pi$
$644$	−20.2137	+	39.6716i	−0.796530	+	1.56328i
$645$	−9.41029	+	4.79478i	−0.370530	+	0.188794i
$646$	−14.7567	+	45.4166i	−0.580597	+	1.78689i
$647$		−	36.6817i		−	1.44211i	−0.692880	−	0.721053i	$-0.743659\pi$
$647$		−	36.6817i		−	1.44211i	0.692880	−	0.721053i	$-0.256341\pi$
$648$	61.0494	+	19.8361i	2.39825	+	0.779237i
$649$	26.5040	+	4.19783i	1.04037	+	0.164779i
$650$	44.4447	−	7.03935i	1.74326	−	0.276106i
$651$	2.23257	−	0.725407i	0.0875014	−	0.0284309i
$652$	6.95193	+	21.3958i	0.272259	+	0.837926i
$653$	6.13543	+	6.13543i	0.240098	+	0.240098i	0.816891	−	0.576793i	$-0.195696\pi$
$653$	6.13543	+	6.13543i	0.240098	+	0.240098i	−0.576793	+	0.816891i	$0.695696\pi$
$654$	−2.93732	+	4.04287i	−0.114858	+	0.158089i
$655$	8.51530			0.332720
$656$	−47.6593	+	50.3615i	−1.86078	+	1.96628i
$657$	−2.31620			−0.0903634
$658$	5.53554	−	7.61902i	0.215798	−	0.297020i
$659$	16.5900	+	16.5900i	0.646253	+	0.646253i	0.952085	−	0.305832i	$-0.0989347\pi$
$659$	16.5900	+	16.5900i	0.646253	+	0.646253i	−0.305832	+	0.952085i	$0.598935\pi$
$660$	−7.26507	−	22.3596i	−0.282792	−	0.870345i
$661$	9.50950	−	3.08982i	0.369877	−	0.120180i	−0.118180	−	0.992992i	$-0.537706\pi$
$661$	9.50950	−	3.08982i	0.369877	−	0.120180i	0.488057	+	0.872812i	$0.337706\pi$
$662$	−21.8385	+	3.45888i	−0.848777	+	0.134433i
$663$	−4.40938	−	0.698377i	−0.171246	−	0.0271227i
$664$	−87.1618	−	28.3206i	−3.38253	−	1.09905i
$665$		−	14.5666i		−	0.564868i
$666$	6.40835	−	19.7229i	0.248318	−	0.764246i
$667$	0.284496	−	0.144958i	0.0110157	−	0.00561280i
$668$	15.3473	−	30.1207i	0.593803	−	1.16540i
$669$	0.430090	+	2.71548i	0.0166282	+	0.104986i
$670$	1.49063	−	1.49063i	0.0575880	−	0.0575880i
$671$	0.254557	+	0.129703i	0.00982707	+	0.00500714i
$672$	−3.20115	+	2.32577i	−0.123487	+	0.0897186i
$673$	10.3841	+	20.3799i	0.400278	+	0.785589i	0.999892	−	0.0146999i	$-0.00467930\pi$
$673$	10.3841	+	20.3799i	0.400278	+	0.785589i	−0.599614	+	0.800289i	$0.704679\pi$
$674$	9.85289	+	7.15854i	0.379519	+	0.275737i
$675$	−1.27344	+	8.04021i	−0.0490149	+	0.309468i
$676$	4.20087	+	5.78200i	0.161572	+	0.222385i
$677$	−19.4893	−	26.8247i	−0.749034	−	1.03096i	−0.998048	−	0.0624571i	$-0.980106\pi$
$677$	−19.4893	−	26.8247i	−0.749034	−	1.03096i	0.249013	−	0.968500i	$-0.419894\pi$
$678$	−0.918963	+	5.80210i	−0.0352926	+	0.222828i
$679$	5.10515	+	3.70911i	0.195918	+	0.142343i
$680$	−42.0398	−	82.5077i	−1.61215	−	3.16403i
$681$	6.11303	−	4.44137i	0.234252	−	0.170194i
$682$	−89.6302	−	45.6688i	−3.43212	−	1.74875i
$683$	11.7608	−	11.7608i	0.450015	−	0.450015i	−0.445344	−	0.895359i	$-0.646919\pi$
$683$	11.7608	−	11.7608i	0.450015	−	0.450015i	0.895359	+	0.445344i	$0.146919\pi$
$684$	10.7035	+	67.5794i	0.409259	+	2.58396i
$685$	4.58648	−	9.00147i	0.175240	−	0.343928i
$686$	−2.35376	+	1.19930i	−0.0898671	+	0.0457896i
$687$	0.0684312	−	0.210609i	0.00261081	−	0.00803525i
$688$		−	120.789i		−	4.60502i
$689$	1.59166	+	0.517160i	0.0606372	+	0.0197022i
$690$	22.0939	+	3.49932i	0.841099	+	0.133217i
$691$	2.23189	−	0.353497i	0.0849051	−	0.0134476i	−0.113837	−	0.993499i	$-0.536314\pi$
$691$	2.23189	−	0.353497i	0.0849051	−	0.0134476i	0.198742	+	0.980052i	$0.436314\pi$
$692$	−46.5415	+	15.1223i	−1.76924	+	0.574862i
$693$	4.47798	+	13.7818i	0.170104	+	0.523527i
$694$	−30.6157	−	30.6157i	−1.16216	−	1.16216i
$695$	27.6683	−	38.0822i	1.04952	−	1.44454i
$696$	0.0863722			0.00327393
$697$	−14.9234	−	19.3931i	−0.565265	−	0.734566i
$698$	85.6247			3.24094
$699$	−2.34766	+	3.23127i	−0.0887965	+	0.122218i
$700$	15.7829	+	15.7829i	0.596538	+	0.596538i
$701$	10.0693	+	30.9900i	0.380311	+	1.17048i	0.939825	+	0.341656i	$0.110988\pi$
$701$	10.0693	+	30.9900i	0.380311	+	1.17048i	−0.559514	+	0.828821i	$0.689012\pi$
$702$	−17.3321	+	5.63154i	−0.654158	+	0.212549i
$703$	12.6230	−	1.99929i	0.476086	−	0.0754046i
$704$	60.7855	+	9.62748i	2.29094	+	0.362849i
$705$	−3.21025	−	1.04307i	−0.120905	−	0.0392844i
$706$			54.3582i			2.04580i
$707$	3.52724	−	10.8557i	0.132655	−	0.408271i
$708$	−7.33807	+	3.73894i	−0.275782	+	0.140518i
$709$	23.4529	−	46.0289i	0.880793	−	1.72865i	0.223989	−	0.974592i	$-0.428092\pi$
$709$	23.4529	−	46.0289i	0.880793	−	1.72865i	0.656804	−	0.754061i	$-0.271908\pi$
$710$	−11.4152	−	72.0726i	−0.428404	−	2.70484i
$711$	−2.47405	+	2.47405i	−0.0927842	+	0.0927842i
$712$	−104.647	−	53.3204i	−3.92182	−	1.99827i
$713$	55.2411	−	40.1350i	2.06880	−	1.50307i
$714$	−1.40919	−	2.76569i	−0.0527376	−	0.103503i
$715$	−47.2105	−	34.3004i	−1.76557	−	1.28276i
$716$	11.3674	−	71.7708i	0.424819	−	2.68220i
$717$	1.17723	+	1.62032i	0.0439645	+	0.0605120i
$718$	−29.1495	−	40.1208i	−1.08785	−	1.49729i
$719$	−1.15545	+	7.29520i	−0.0430908	+	0.272065i	−0.999821	−	0.0189112i	$-0.993980\pi$
$719$	−1.15545	+	7.29520i	−0.0430908	+	0.272065i	0.956730	+	0.290976i	$0.0939800\pi$
$720$	−78.3845	−	56.9497i	−2.92122	−	2.12239i
$721$	1.96314	+	3.85288i	0.0731112	+	0.143489i
$722$	−7.21200	+	5.23982i	−0.268403	+	0.195006i
$723$	−1.29276	−	0.658693i	−0.0480782	−	0.0244971i
$724$	−56.9111	+	56.9111i	−2.11508	+	2.11508i
$725$	−0.0250399	−	0.158095i	−0.000929957	−	0.00587152i
$726$	−5.11636	+	10.0414i	−0.189886	+	0.372672i
$727$	20.3488	−	10.3682i	0.754696	−	0.384537i	−0.0339186	−	0.999425i	$-0.510799\pi$
$727$	20.3488	−	10.3682i	0.754696	−	0.384537i	0.788615	+	0.614888i	$0.210799\pi$
$728$	−9.23811	+	28.4320i	−0.342387	+	1.05376i
$729$			22.0284i			0.815867i
$730$	6.16777	+	2.00403i	0.228279	+	0.0741725i
$731$	42.1036	+	6.66855i	1.55726	+	0.246645i
$732$	−0.0866031	+	0.0137166i	−0.00320094	+	0.000506979i
$733$	16.5633	−	5.38174i	0.611779	−	0.198779i	0.0132923	−	0.999912i	$-0.495769\pi$
$733$	16.5633	−	5.38174i	0.611779	−	0.198779i	0.598487	+	0.801133i	$0.295769\pi$
$734$	−18.8682	−	58.0703i	−0.696438	−	2.14341i
$735$	0.669510	+	0.669510i	0.0246953	+	0.0246953i
$736$	−67.6508	+	93.1133i	−2.49364	+	3.43220i
$737$	−1.29243			−0.0476071
$738$	−44.3878	−	21.0967i	−1.63394	−	0.776582i
$739$	16.9189			0.622372			0.311186	−	0.950349i	$-0.399274\pi$
$739$	16.9189			0.622372			0.311186	+	0.950349i	$0.399274\pi$
$740$	−24.3482	+	33.5124i	−0.895056	+	1.23194i
$741$	−3.90725	−	3.90725i	−0.143536	−	0.143536i
$742$	0.359576	+	1.10666i	0.0132004	+	0.0406268i
$743$	5.14816	−	1.67274i	0.188868	−	0.0613668i	−0.213056	−	0.977040i	$-0.568342\pi$
$743$	5.14816	−	1.67274i	0.188868	−	0.0613668i	0.401924	+	0.915673i	$0.368342\pi$
$744$	18.2433	−	2.88945i	0.668831	−	0.105932i
$745$	−25.5420	−	4.04546i	−0.935786	−	0.148214i
$746$	−49.2951	−	16.0169i	−1.80482	−	0.586422i
$747$		−	33.8417i		−	1.23820i
$748$	−29.3235	+	90.2486i	−1.07217	+	3.29981i
$749$	−7.11574	+	3.62565i	−0.260003	+	0.132478i
$750$	−0.586692	+	1.15145i	−0.0214230	+	0.0420449i
$751$	6.14017	+	38.7675i	0.224058	+	1.41465i	0.801393	+	0.598138i	$0.204093\pi$
$751$	6.14017	+	38.7675i	0.224058	+	1.41465i	−0.577335	+	0.816507i	$0.695907\pi$
$752$	27.2974	−	27.2974i	0.995433	−	0.995433i
$753$	−1.52972	−	0.779432i	−0.0557461	−	0.0284041i
$754$	0.289904	−	0.210628i	0.0105577	−	0.00767061i
$755$	4.53842	+	8.90715i	0.165170	+	0.324164i
$756$	−7.31316	−	5.31332i	−0.265977	−	0.193244i
$757$	5.33868	−	33.7071i	0.194038	−	1.22511i	−0.677776	−	0.735269i	$-0.737056\pi$
$757$	5.33868	−	33.7071i	0.194038	−	1.22511i	0.871814	−	0.489838i	$-0.162944\pi$
$758$	34.0895	+	46.9202i	1.23819	+	1.70422i
$759$	−8.06105	−	11.0951i	−0.292598	−	0.402726i
$760$	17.9297	−	113.204i	0.650380	−	4.10634i
$761$	−13.8642	−	10.0729i	−0.502576	−	0.365143i	0.307424	−	0.951573i	$-0.400533\pi$
$761$	−13.8642	−	10.0729i	−0.502576	−	0.365143i	−0.810000	+	0.586430i	$0.800533\pi$
$762$	−5.58424	−	10.9597i	−0.202296	−	0.397027i
$763$	−4.97755	+	3.61640i	−0.180200	+	0.130923i
$764$	75.3791	+	38.4076i	2.72712	+	1.38954i
$765$	24.1786	−	24.1786i	0.874178	−	0.874178i
$766$	12.4979	+	78.9084i	0.451566	+	2.85108i
$767$	−9.28051	+	18.2140i	−0.335100	+	0.657670i
$768$	1.79748	−	0.915861i	0.0648609	−	0.0330483i
$769$	−1.21211	+	3.73049i	−0.0437097	+	0.134525i	−0.970530	−	0.240981i	$-0.922531\pi$
$769$	−1.21211	+	3.73049i	−0.0437097	+	0.134525i	0.926820	+	0.375506i	$0.122531\pi$
$770$		−	40.5739i		−	1.46218i
$771$	−9.23843	−	3.00175i	−0.332714	−	0.108105i
$772$	33.9648	+	5.37949i	1.22242	+	0.193612i
$773$	−43.3481	+	6.86566i	−1.55912	+	0.246941i	−0.875617	−	0.483006i	$-0.839545\pi$
$773$	−43.3481	+	6.86566i	−1.55912	+	0.246941i	−0.683504	+	0.729947i	$0.739545\pi$
$774$	81.4243	−	26.4564i	2.92674	−	0.950954i
$775$	−10.5777	−	32.5548i	−0.379962	−	1.16940i
$776$	35.1091	+	35.1091i	1.26034	+	1.26034i
$777$	−0.488288	+	0.672071i	−0.0175172	+	0.0241104i
$778$	−23.3527			−0.837234
$779$	−0.834633	−	30.2764i	−0.0299038	−	1.08476i
$780$	17.9098			0.641273
$781$	−26.2960	+	36.1934i	−0.940946	+	1.29510i
$782$	−63.8430	−	63.8430i	−2.28302	−	2.28302i
$783$	0.0200321	+	0.0616525i	0.000715889	+	0.00220328i
$784$	−10.2987	+	3.34625i	−0.367811	+	0.119509i
$785$	−7.66948	+	1.21473i	−0.273736	+	0.0433555i
$786$	2.21826	+	0.351338i	0.0791228	+	0.0125318i
$787$	−34.3209	−	11.1515i	−1.22341	−	0.397509i	−0.375086	−	0.926990i	$-0.622387\pi$
$787$	−34.3209	−	11.1515i	−1.22341	−	0.397509i	−0.848322	+	0.529481i	$0.822387\pi$
$788$		−	115.187i		−	4.10336i
$789$	−2.17095	+	6.68150i	−0.0772879	+	0.237868i
$790$	8.72873	−	4.44751i	0.310554	−	0.158235i
$791$	−3.28351	+	6.44425i	−0.116748	+	0.229131i
$792$	17.8368	+	112.617i	0.633802	+	4.00167i
$793$	−0.153894	+	0.153894i	−0.00546494	+	0.00546494i
$794$	75.1235	+	38.2774i	2.66603	+	1.35841i
$795$	0.337408	−	0.245142i	0.0119666	−	0.00869428i
$796$	43.6594	+	85.6864i	1.54747	+	3.03707i
$797$	23.8560	+	17.3324i	0.845024	+	0.613946i	0.923770	−	0.382949i	$-0.125091\pi$
$797$	23.8560	+	17.3324i	0.845024	+	0.613946i	−0.0787452	+	0.996895i	$0.525091\pi$
$798$	0.601012	−	3.79464i	0.0212756	−	0.134329i
$799$	8.00806	+	11.0222i	0.283305	+	0.389936i
$800$	33.9138	+	46.6784i	1.19903	+	1.65033i
$801$	6.78439	−	42.8350i	0.239715	−	1.51350i
$802$	13.7131	+	9.96315i	0.484226	+	0.351811i
$803$	−1.80505	−	3.54261i	−0.0636989	−	0.125016i
$804$	0.320902	−	0.233149i	0.0113173	−	0.00822253i
$805$	24.5391	+	12.5033i	0.864890	+	0.440684i
$806$	54.1865	−	54.1865i	1.90864	−	1.90864i
$807$	−0.749566	−	4.73257i	−0.0263860	−	0.166594i
$808$	40.7740	−	80.0234i	1.43442	−	2.81521i
$809$	27.2039	−	13.8611i	0.956439	−	0.487330i	0.0951597	−	0.995462i	$-0.469664\pi$
$809$	27.2039	−	13.8611i	0.956439	−	0.487330i	0.861279	+	0.508132i	$0.169664\pi$
$810$	20.5086	−	63.1190i	0.720599	−	2.21777i
$811$			51.4914i			1.80811i	0.427418	+	0.904054i	$0.359423\pi$
$811$			51.4914i			1.80811i	−0.427418	+	0.904054i	$0.640577\pi$
$812$	0.169046	+	0.0549265i	0.00593236	+	0.00192754i
$813$	1.30724	+	0.207047i	0.0458470	+	0.00726145i
$814$	35.1602	−	5.56883i	1.23236	−	0.195187i
$815$	13.2345	−	4.30016i	0.463586	−	0.150628i
$816$	−3.93187	−	12.1011i	−0.137643	−	0.423622i
$817$	37.3089	+	37.3089i	1.30527	+	1.30527i
$818$	−37.8344	+	52.0746i	−1.32285	+	1.82075i
$819$	−11.0391			−0.385736
$820$	71.3023	+	67.4766i	2.48999	+	2.35639i
$821$	−14.3187			−0.499724			−0.249862	−	0.968281i	$-0.580385\pi$
$821$	−14.3187			−0.499724			−0.249862	+	0.968281i	$0.580385\pi$
$822$	1.56619	−	2.15567i	0.0546271	−	0.0751878i
$823$	−16.9847	−	16.9847i	−0.592048	−	0.592048i	0.346136	−	0.938184i	$-0.387494\pi$
$823$	−16.9847	−	16.9847i	−0.592048	−	0.592048i	−0.938184	+	0.346136i	$0.887494\pi$
$824$	10.5141	+	32.3590i	0.366275	+	1.12728i
$825$	−6.53857	+	2.12451i	−0.227644	+	0.0739660i
$826$	−14.0382	+	2.22343i	−0.488450	+	0.0773629i
$827$	−35.6771	−	5.65070i	−1.24062	−	0.196494i	−0.498574	−	0.866847i	$-0.666143\pi$
$827$	−35.6771	−	5.65070i	−1.24062	−	0.196494i	−0.742042	+	0.670353i	$0.766143\pi$
$828$	−123.033	−	39.9758i	−4.27568	−	1.38925i
$829$		−	8.92976i		−	0.310143i	−0.987903	−	0.155072i	$-0.950439\pi$
$829$		−	8.92976i		−	0.310143i	0.987903	−	0.155072i	$-0.0495608\pi$
$830$	−29.2807	+	90.1166i	−1.01635	+	3.12799i
$831$	−4.38857	+	2.23609i	−0.152238	+	0.0775691i
$832$	−21.2843	+	41.7728i	−0.737901	+	1.44821i
$833$	−0.597835	−	3.77458i	−0.0207138	−	0.130782i
$834$	8.77895	−	8.77895i	0.303990	−	0.303990i
$835$	−18.6314	−	9.49315i	−0.644765	−	0.328524i
$836$	−95.0210	+	69.0368i	−3.28637	+	2.38769i
$837$	6.29362	+	12.3519i	0.217539	+	0.426945i
$838$	−12.5765	−	9.13734i	−0.434447	−	0.315644i
$839$	7.84549	−	49.5345i	0.270856	−	1.71012i	−0.358941	−	0.933360i	$-0.616862\pi$
$839$	7.84549	−	49.5345i	0.270856	−	1.71012i	0.629798	−	0.776759i	$-0.283138\pi$
$840$	4.37900	+	6.02718i	0.151090	+	0.207957i
$841$	17.0450	+	23.4605i	0.587759	+	0.808981i
$842$	−9.38102	+	59.2294i	−0.323291	+	2.04118i
$843$	4.92116	+	3.57543i	0.169494	+	0.123144i
$844$	19.2421	+	37.7648i	0.662342	+	1.29992i
$845$	3.57650	−	2.59848i	0.123035	−	0.0893903i
$846$	24.3803	+	12.4224i	0.838211	+	0.427090i
$847$	−9.81129	+	9.81129i	−0.337120	+	0.337120i
$848$	0.746164	+	4.71110i	0.0256234	+	0.161780i
$849$	0.960665	−	1.88541i	0.0329700	−	0.0647072i
$850$	−40.3286	+	20.5485i	−1.38326	+	0.704806i
$851$	−7.46699	+	22.9810i	−0.255965	+	0.787780i
$852$		−	13.7303i		−	0.470393i
$853$	11.5984	+	3.76855i	0.397121	+	0.129033i	0.500768	−	0.865582i	$-0.333051\pi$
$853$	11.5984	+	3.76855i	0.397121	+	0.129033i	−0.103646	+	0.994614i	$0.533051\pi$
$854$	−0.149459	−	0.0236720i	−0.00511439	−	0.000810039i
$855$	41.8017	−	6.62073i	1.42959	−	0.226424i
$856$	−59.7626	+	19.4180i	−2.04264	+	0.663695i
$857$	11.7410	+	36.1350i	0.401064	+	1.23435i	0.924138	+	0.382060i	$0.124785\pi$
$857$	11.7410	+	36.1350i	0.401064	+	1.23435i	−0.523074	+	0.852287i	$0.675215\pi$
$858$	−10.8833	−	10.8833i	−0.371549	−	0.371549i
$859$	12.9979	−	17.8901i	0.443482	−	0.610401i	−0.527499	−	0.849556i	$-0.676870\pi$
$859$	12.9979	−	17.8901i	0.443482	−	0.610401i	0.970982	+	0.239154i	$0.0768702\pi$
$860$	−171.014			−5.83153
$861$	1.42993	+	1.35320i	0.0487318	+	0.0461171i
$862$	−23.7188			−0.807866
$863$	−12.5977	+	17.3392i	−0.428830	+	0.590234i	−0.967684	−	0.252165i	$-0.918857\pi$
$863$	−12.5977	+	17.3392i	−0.428830	+	0.590234i	0.538854	+	0.842399i	$0.318857\pi$
$864$	−16.5230	−	16.5230i	−0.562123	−	0.562123i
$865$	9.35397	+	28.7886i	0.318045	+	0.978840i
$866$	7.57707	−	2.46194i	0.257479	−	0.0836601i
$867$	−0.727339	+	0.115199i	−0.0247017	+	0.00391237i
$868$	37.5430	+	5.94622i	1.27429	+	0.201828i
$869$	−5.71213	−	1.85598i	−0.193771	−	0.0629599i
$870$		−	0.0893003i		−	0.00302756i
$871$	0.304243	−	0.936364i	0.0103089	−	0.0317275i
$872$	−43.1343	+	21.9780i	−1.46071	+	0.744270i
$873$	−8.32365	+	16.3361i	−0.281713	+	0.552893i
$874$	−17.4819	−	110.376i	−0.591335	−	3.73354i
$875$	−1.12506	+	1.12506i	−0.0380339	+	0.0380339i
$876$	1.08726	+	0.553986i	0.0367351	+	0.0187175i
$877$	30.9869	−	22.5133i	1.04635	−	0.760220i	0.0748376	−	0.997196i	$-0.476156\pi$
$877$	30.9869	−	22.5133i	1.04635	−	0.760220i	0.971516	+	0.236976i	$0.0761562\pi$
$878$	1.58973	+	3.12003i	0.0536509	+	0.105296i
$879$	−3.98824	−	2.89763i	−0.134520	−	0.0977346i
$880$	26.0179	−	164.271i	0.877064	−	5.53757i
$881$	−15.4695	−	21.2919i	−0.521180	−	0.717342i	0.464575	−	0.885534i	$-0.346207\pi$
$881$	−15.4695	−	21.2919i	−0.521180	−	0.717342i	−0.985754	+	0.168192i	$0.946207\pi$
$882$	−4.51145	−	6.20948i	−0.151909	−	0.209084i
$883$	−4.31011	+	27.2130i	−0.145047	+	0.915790i	0.802611	+	0.596503i	$0.203444\pi$
$883$	−4.31011	+	27.2130i	−0.145047	+	0.915790i	−0.947658	+	0.319287i	$0.896556\pi$
$884$	−58.4823	−	42.4899i	−1.96697	−	1.42909i
$885$	2.31274	+	4.53901i	0.0777420	+	0.152577i
$886$	52.2457	−	37.9587i	1.75523	−	1.27525i
$887$	3.21466	+	1.63795i	0.107938	+	0.0549971i	0.507126	−	0.861872i	$-0.330708\pi$
$887$	3.21466	+	1.63795i	0.107938	+	0.0549971i	−0.399188	+	0.916869i	$0.630708\pi$
$888$	−4.62196	+	4.62196i	−0.155103	+	0.155103i
$889$	−2.36906	−	14.9576i	−0.0794557	−	0.501663i
$890$	−55.1280	+	108.195i	−1.84789	+	3.62669i
$891$	−36.2540	+	18.4723i	−1.21455	+	0.618846i
$892$	−13.7568	+	42.3391i	−0.460613	+	1.41762i
$893$			16.8631i			0.564301i
$894$	−6.48686	−	2.10771i	−0.216953	−	0.0704923i
$895$	−44.3943	−	7.03137i	−1.48394	−	0.235033i
$896$	−6.77390	+	1.07288i	−0.226300	+	0.0358424i
$897$	9.93602	−	3.22841i	0.331754	−	0.107793i
$898$	−15.5251	−	47.7814i	−0.518080	−	1.59449i
$899$	−0.192748	−	0.192748i	−0.00642852	−	0.00642852i
$900$	−38.1186	+	52.4657i	−1.27062	+	1.74886i
$901$	−1.68335			−0.0560806
$902$	−2.32479	−	84.3321i	−0.0774071	−	2.80795i
$903$	−3.42959			−0.114129
$904$	−33.4499	+	46.0398i	−1.11253	+	1.53126i
$905$	35.2027	+	35.2027i	1.17018	+	1.17018i
$906$	0.814767	+	2.50759i	0.0270688	+	0.0833093i
$907$	−35.2609	+	11.4570i	−1.17082	+	0.380422i	−0.828948	−	0.559325i	$-0.811060\pi$
$907$	−35.2609	+	11.4570i	−1.17082	+	0.380422i	−0.341870	+	0.939747i	$0.611060\pi$
$908$	120.845	−	19.1399i	4.01038	−	0.635181i
$909$	32.7558	+	5.18801i	1.08644	+	0.172075i
$910$	29.3958	+	9.55128i	0.974462	+	0.316622i
$911$			0.247881i			0.00821267i	0.999992	+	0.00410633i	$0.00130709\pi$
$911$			0.247881i			0.00821267i	−0.999992	+	0.00410633i	$0.998693\pi$
$912$	4.86662	−	14.9779i	0.161150	−	0.495968i
$913$	51.7607	−	26.3734i	1.71303	−	0.872833i
$914$	−39.8815	+	78.2719i	−1.31916	+	2.58900i
$915$	0.00848448	+	0.0535689i	0.000280488	+	0.00177093i
$916$	2.53551	−	2.53551i	0.0837757	−	0.0837757i
$917$	2.46377	+	1.25535i	0.0813609	+	0.0414554i
$918$	14.8298	−	10.7745i	0.489456	−	0.355610i
$919$	−4.22838	−	8.29865i	−0.139481	−	0.273747i	0.810690	−	0.585476i	$-0.199092\pi$
$919$	−4.22838	−	8.29865i	−0.139481	−	0.273747i	−0.950171	+	0.311728i	$0.899092\pi$
$920$	175.315	+	127.374i	5.77997	+	4.19939i
$921$	0.153407	−	0.968572i	0.00505492	−	0.0319155i
$922$	17.4834	+	24.0638i	0.575785	+	0.792500i
$923$	−20.0319	−	27.5716i	−0.659359	−	0.907530i
$924$	1.19429	−	7.54044i	0.0392892	−	0.248062i
$925$	9.79997	+	7.12009i	0.322221	+	0.234107i
$926$	22.0222	+	43.2210i	0.723695	+	1.42033i
$927$	−10.1643	+	7.38481i	−0.333840	+	0.242549i
$928$	0.409389	+	0.208594i	0.0134388	+	0.00684744i
$929$	2.34473	−	2.34473i	0.0769281	−	0.0769281i	−0.667596	−	0.744524i	$-0.732677\pi$
$929$	2.34473	−	2.34473i	0.0769281	−	0.0769281i	0.744524	+	0.667596i	$0.232677\pi$
$930$	−2.98741	−	18.8617i	−0.0979609	−	0.618501i
$931$	2.14745	−	4.21462i	0.0703800	−	0.138128i
$932$	−57.6243	+	29.3611i	−1.88755	+	0.961753i
$933$	0.662737	−	2.03970i	0.0216970	−	0.0667766i
$934$			100.008i			3.27236i
$935$	55.8239	+	18.1383i	1.82564	+	0.593185i
$936$	−85.7899	−	13.5878i	−2.80413	−	0.444131i
$937$	5.79143	−	0.917272i	0.189198	−	0.0299660i	−0.0611164	−	0.998131i	$-0.519466\pi$
$937$	5.79143	−	0.917272i	0.189198	−	0.0299660i	0.250314	+	0.968165i	$0.419466\pi$
$938$	0.651044	−	0.211537i	0.0212573	−	0.00690693i
$939$	1.14084	+	3.51116i	0.0372301	+	0.114582i
$940$	−38.6479	−	38.6479i	−1.26056	−	1.26056i
$941$	20.2422	−	27.8610i	0.659876	−	0.908241i	−0.339601	−	0.940569i	$-0.610292\pi$
$941$	20.2422	−	27.8610i	0.659876	−	0.908241i	0.999477	+	0.0323282i	$0.0102922\pi$
$942$	−2.04804			−0.0667289
$943$	51.7205	+	24.5819i	1.68425	+	0.800496i
$944$	−58.2619			−1.89626
$945$	−3.28659	+	4.52360i	−0.106913	+	0.147153i
$946$	103.920	+	103.920i	3.37874	+	3.37874i
$947$	−11.8456	−	36.4570i	−0.384930	−	1.18469i	−0.936531	−	0.350585i	$-0.885983\pi$
$947$	−11.8456	−	36.4570i	−0.384930	−	1.18469i	0.551601	−	0.834108i	$-0.314017\pi$
$948$	1.75310	−	0.569617i	0.0569381	−	0.0185003i
$949$	2.99155	−	0.473815i	0.0971097	−	0.0153807i
$950$	−55.3325	−	8.76381i	−1.79522	−	0.284335i
$951$	4.37807	+	1.42252i	0.141969	+	0.0461285i
$952$		−	30.0700i		−	0.974573i
$953$	10.4812	−	32.2578i	0.339520	−	1.04493i	−0.624933	−	0.780678i	$-0.714874\pi$
$953$	10.4812	−	32.2578i	0.339520	−	1.04493i	0.964453	−	0.264256i	$-0.0851262\pi$
$954$	−3.01235	+	1.53487i	−0.0975283	+	0.0496931i
$955$	23.7572	−	46.6262i	0.768766	−	1.50879i
$956$	5.07323	+	32.0311i	0.164080	+	1.03596i
$957$	−0.0387132	+	0.0387132i	−0.00125142	+	0.00125142i
$958$	72.9232	+	37.1562i	2.35604	+	1.20046i
$959$	2.65405	−	1.92828i	0.0857038	−	0.0622675i
$960$	5.30415	+	10.4100i	0.171191	+	0.335980i
$961$	−22.0804	−	16.0423i	−0.712269	−	0.517494i
$962$	−4.24226	+	26.7846i	−0.136776	+	0.863569i
$963$	−13.6387	−	18.7721i	−0.439502	−	0.604922i
$964$	−13.8091	−	19.0066i	−0.444760	−	0.612160i
$965$	3.32752	−	21.0091i	0.107117	−	0.676308i
$966$	5.87664	+	4.26963i	0.189078	+	0.137373i
$967$	−7.88648	−	15.4781i	−0.253612	−	0.497742i	0.728738	−	0.684792i	$-0.240107\pi$
$967$	−7.88648	−	15.4781i	−0.253612	−	0.497742i	−0.982350	+	0.187051i	$0.940107\pi$
$968$	−88.3247	+	64.1717i	−2.83886	+	2.06256i
$969$	4.95221	+	2.52328i	0.159088	+	0.0810593i
$970$	36.2993	−	36.2993i	1.16550	−	1.16550i
$971$	−4.71406	−	29.7634i	−0.151281	−	0.955153i	−0.940192	−	0.340645i	$-0.889355\pi$
$971$	−4.71406	−	29.7634i	−0.151281	−	0.955153i	0.788911	−	0.614508i	$-0.210645\pi$
$972$	17.9809	−	35.2896i	0.576739	−	1.13191i
$973$	13.6196	−	6.93954i	0.436625	−	0.222471i
$974$	12.1519	−	37.3996i	0.389371	−	1.19836i
$975$		−	5.23733i		−	0.167729i
$976$	−0.589933	−	0.191681i	−0.0188833	−	0.00613556i
$977$	−56.3098	−	8.91860i	−1.80151	−	0.285331i	−0.836581	−	0.547843i	$-0.815449\pi$
$977$	−56.3098	−	8.91860i	−1.80151	−	0.285331i	−0.964929	+	0.262512i	$0.915449\pi$
$978$	3.62506	−	0.574154i	0.115917	−	0.0183594i
$979$	70.8032	−	23.0053i	2.26288	−	0.735254i
$980$	4.73766	+	14.5810i	0.151339	+	0.465774i
$981$	−12.6404	−	12.6404i	−0.403576	−	0.403576i
$982$	57.7996	−	79.5543i	1.84446	−	2.53868i
$983$	14.6241			0.466435			0.233217	−	0.972425i	$-0.425075\pi$
$983$	14.6241			0.466435			0.233217	+	0.972425i	$0.425075\pi$
$984$	9.44702	+	12.2765i	0.301160	+	0.391360i
$985$	−71.2495			−2.27020
$986$	−0.211860	+	0.291600i	−0.00674699	+	0.00928643i
$987$	−0.775062	−	0.775062i	−0.0246705	−	0.0246705i
$988$	−27.6489	−	85.0945i	−0.879628	−	2.70722i
$989$	−94.8754	+	30.8269i	−3.01686	+	0.980238i
$990$	116.435	−	18.4414i	3.70054	−	0.586107i
$991$	0.328146	+	0.0519732i	0.0104239	+	0.00165098i	0.161644	−	0.986849i	$-0.448320\pi$
$991$	0.328146	+	0.0519732i	0.0104239	+	0.00165098i	−0.151220	+	0.988500i	$0.548320\pi$
$992$	93.4481	+	30.3631i	2.96698	+	0.964031i
$993$			2.57343i			0.0816654i
$994$	7.32237	−	22.5359i	0.232252	−	0.714797i
$995$	53.0019	−	27.0058i	1.68027	−	0.856142i
$996$	−8.09423	+	15.8858i	−0.256475	+	0.503361i
$997$	−2.03870	−	12.8719i	−0.0645663	−	0.407656i	−0.998711	−	0.0507607i	$-0.983835\pi$
$997$	−2.03870	−	12.8719i	−0.0645663	−	0.407656i	0.934145	−	0.356895i	$-0.116165\pi$
$998$	−23.1387	+	23.1387i	−0.732443	+	0.732443i
$999$	−4.37112	−	2.22720i	−0.138296	−	0.0704654i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	287.2.u.a.8.20	✓	160
41.36	even	20	inner	287.2.u.a.36.20	yes	160

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
287.2.u.a.8.20	✓	160	1.1	even	1	trivial
287.2.u.a.36.20	yes	160	41.36	even	20	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:	\( N \)	\(=\)	\( 287 = 7 \cdot 41 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	287.u (of order \(20\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(1.55275 - 2.13717i) q^{2} +(-0.217409 - 0.217409i) q^{3} +(-1.53845 - 4.73486i) q^{4} +(-2.92878 + 0.951619i) q^{5} +(-0.802220 + 0.127059i) q^{6} +(-0.987688 - 0.156434i) q^{7} +(-7.48325 - 2.43145i) q^{8} -2.90547i q^{9} +O(q^{10})\)	\(q+(1.55275 - 2.13717i) q^{2} +(-0.217409 - 0.217409i) q^{3} +(-1.53845 - 4.73486i) q^{4} +(-2.92878 + 0.951619i) q^{5} +(-0.802220 + 0.127059i) q^{6} +(-0.987688 - 0.156434i) q^{7} +(-7.48325 - 2.43145i) q^{8} -2.90547i q^{9} +(-2.51388 + 7.73693i) q^{10} +(4.44390 - 2.26428i) q^{11} +(-0.694928 + 1.36387i) q^{12} +(0.594359 + 3.75264i) q^{13} +(-1.86796 + 1.86796i) q^{14} +(0.843632 + 0.429852i) q^{15} +(-8.76060 + 6.36495i) q^{16} +(-1.73499 - 3.40510i) q^{17} +(-6.20948 - 4.51145i) q^{18} +(0.739962 - 4.67194i) q^{19} +(9.01157 + 12.4034i) q^{20} +(0.180722 + 0.248742i) q^{21} +(2.06110 - 13.0132i) q^{22} +(7.23528 + 5.25674i) q^{23} +(1.09830 + 2.15554i) q^{24} +(3.62709 - 2.63524i) q^{25} +(8.94292 + 4.55665i) q^{26} +(-1.28390 + 1.28390i) q^{27} +(0.778814 + 4.91724i) q^{28} +(0.0162086 - 0.0318111i) q^{29} +(2.22862 - 1.13554i) q^{30} +(2.35934 - 7.26129i) q^{31} +12.8694i q^{32} +(-1.45842 - 0.473869i) q^{33} +(-9.97128 - 1.57930i) q^{34} +(3.04159 - 0.481740i) q^{35} +(-13.7570 + 4.46992i) q^{36} +(0.834926 + 2.56964i) q^{37} +(-8.83576 - 8.83576i) q^{38} +(0.686637 - 0.945075i) q^{39} +24.2306 q^{40} +(6.29429 - 1.17557i) q^{41} +0.812220 q^{42} +(-6.55645 + 9.02417i) q^{43} +(-17.5578 - 17.5578i) q^{44} +(2.76490 + 8.50948i) q^{45} +(22.4691 - 7.30065i) q^{46} +(-3.52111 + 0.557689i) q^{47} +(3.28842 + 0.520835i) q^{48} +(0.951057 + 0.309017i) q^{49} -11.8436i q^{50} +(-0.363098 + 1.11750i) q^{51} +(16.8538 - 8.58746i) q^{52} +(0.199974 - 0.392470i) q^{53} +(0.750344 + 4.73749i) q^{54} +(-10.8605 + 10.8605i) q^{55} +(7.01075 + 3.57216i) q^{56} +(-1.17659 + 0.854846i) q^{57} +(-0.0428181 - 0.0840352i) q^{58} +(4.35277 + 3.16247i) q^{59} +(0.737405 - 4.65579i) q^{60} +(0.0336697 + 0.0463424i) q^{61} +(-11.8552 - 16.3173i) q^{62} +(-0.454515 + 2.86970i) q^{63} +(9.98284 + 7.25296i) q^{64} +(-5.31183 - 10.4251i) q^{65} +(-3.27729 + 2.38109i) q^{66} +(-0.230889 - 0.117644i) q^{67} +(-13.4535 + 13.4535i) q^{68} +(-0.430152 - 2.71587i) q^{69} +(3.69325 - 7.24842i) q^{70} +(-7.99224 + 4.07225i) q^{71} +(-7.06451 + 21.7423i) q^{72} -0.797185i q^{73} +(6.78819 + 2.20562i) q^{74} +(-1.36149 - 0.215638i) q^{75} +(-23.2594 + 3.68392i) q^{76} +(-4.74340 + 1.54123i) q^{77} +(-0.953615 - 2.93492i) q^{78} +(-0.851516 - 0.851516i) q^{79} +(19.6009 - 26.9783i) q^{80} -8.15814 q^{81} +(7.26105 - 15.2773i) q^{82} +11.6476 q^{83} +(0.899729 - 1.23837i) q^{84} +(8.32175 + 8.32175i) q^{85} +(9.10572 + 28.0245i) q^{86} +(-0.0104399 + 0.00339213i) q^{87} +(-38.7603 + 6.13903i) q^{88} +(14.7429 + 2.33504i) q^{89} +(22.4794 + 7.30400i) q^{90} -3.79941i q^{91} +(13.7588 - 42.3453i) q^{92} +(-2.09161 + 1.06573i) q^{93} +(-4.27551 + 8.39117i) q^{94} +(2.27872 + 14.3872i) q^{95} +(2.79791 - 2.79791i) q^{96} +(-5.62253 - 2.86482i) q^{97} +(2.13717 - 1.55275i) q^{98} +(-6.57880 - 12.9116i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 160 q - 4 q^{3} + 36 q^{4} - 28 q^{6}+O(q^{10}) \) 160 * q - 4 * q^3 + 36 * q^4 - 28 * q^6	\( 160 q - 4 q^{3} + 36 q^{4} - 28 q^{6} - 48 q^{10} + 8 q^{11} - 16 q^{12} - 16 q^{13} - 32 q^{15} - 28 q^{16} - 20 q^{17} + 12 q^{18} - 40 q^{19} - 4 q^{22} - 36 q^{23} - 108 q^{24} + 40 q^{25} + 20 q^{26} + 20 q^{27} + 12 q^{29} - 4 q^{30} + 20 q^{31} - 32 q^{34} - 4 q^{35} + 140 q^{36} - 44 q^{38} + 80 q^{39} - 64 q^{40} + 4 q^{41} - 72 q^{42} - 8 q^{44} + 8 q^{45} + 40 q^{46} - 56 q^{47} + 120 q^{48} + 24 q^{51} + 16 q^{52} + 12 q^{53} - 52 q^{54} - 72 q^{55} + 48 q^{57} + 36 q^{58} - 48 q^{59} - 52 q^{60} + 8 q^{63} - 96 q^{64} - 96 q^{65} + 24 q^{66} + 20 q^{67} - 80 q^{68} - 68 q^{69} + 8 q^{70} + 60 q^{71} + 100 q^{72} - 40 q^{74} - 120 q^{75} + 4 q^{76} - 12 q^{78} + 12 q^{79} + 200 q^{80} - 56 q^{81} - 68 q^{82} - 40 q^{83} + 132 q^{85} + 80 q^{86} - 16 q^{88} + 8 q^{89} + 140 q^{92} + 64 q^{93} + 128 q^{94} - 68 q^{96} + 4 q^{98} + 96 q^{99}+O(q^{100}) \) 160 * q - 4 * q^3 + 36 * q^4 - 28 * q^6 - 48 * q^10 + 8 * q^11 - 16 * q^12 - 16 * q^13 - 32 * q^15 - 28 * q^16 - 20 * q^17 + 12 * q^18 - 40 * q^19 - 4 * q^22 - 36 * q^23 - 108 * q^24 + 40 * q^25 + 20 * q^26 + 20 * q^27 + 12 * q^29 - 4 * q^30 + 20 * q^31 - 32 * q^34 - 4 * q^35 + 140 * q^36 - 44 * q^38 + 80 * q^39 - 64 * q^40 + 4 * q^41 - 72 * q^42 - 8 * q^44 + 8 * q^45 + 40 * q^46 - 56 * q^47 + 120 * q^48 + 24 * q^51 + 16 * q^52 + 12 * q^53 - 52 * q^54 - 72 * q^55 + 48 * q^57 + 36 * q^58 - 48 * q^59 - 52 * q^60 + 8 * q^63 - 96 * q^64 - 96 * q^65 + 24 * q^66 + 20 * q^67 - 80 * q^68 - 68 * q^69 + 8 * q^70 + 60 * q^71 + 100 * q^72 - 40 * q^74 - 120 * q^75 + 4 * q^76 - 12 * q^78 + 12 * q^79 + 200 * q^80 - 56 * q^81 - 68 * q^82 - 40 * q^83 + 132 * q^85 + 80 * q^86 - 16 * q^88 + 8 * q^89 + 140 * q^92 + 64 * q^93 + 128 * q^94 - 68 * q^96 + 4 * q^98 + 96 * q^99

Introduction

L-functions

Modular forms

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