LMFDB - Embedded newform 572.2.bn.a.95.12

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [572,2,Mod(95,572)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(572, base_ring=CyclotomicField(30))

chi = DirichletCharacter(H, H._module([15, 21, 5]))

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

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

chi := DirichletCharacter("572.95");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 572 = 2^{2} \cdot 11 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	572.bn (of order $30$, 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:	$4.56744299562$
Analytic rank:	$0$
Dimension:	$640$
Relative dimension:	$80$ over $\Q(\zeta_{30})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label			95.12
Character	$\chi$	$=$	572.95
Dual form			572.2.bn.a.283.12

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.26470 - 0.632879i) q^{2} +(1.96015 - 1.76492i) q^{3} +(1.19893 + 1.60080i) q^{4} +(1.52195 + 2.09479i) q^{5} +(-3.59598 + 0.991561i) q^{6} +(1.53627 + 1.38326i) q^{7} +(-0.503167 - 2.78331i) q^{8} +(0.413632 - 3.93545i) q^{9} +O(q^{10})$	\(q+(-1.26470 - 0.632879i) q^{2} +(1.96015 - 1.76492i) q^{3} +(1.19893 + 1.60080i) q^{4} +(1.52195 + 2.09479i) q^{5} +(-3.59598 + 0.991561i) q^{6} +(1.53627 + 1.38326i) q^{7} +(-0.503167 - 2.78331i) q^{8} +(0.413632 - 3.93545i) q^{9} +(-0.599063 - 3.61249i) q^{10} +(-0.0389047 + 3.31640i) q^{11} +(5.17537 + 1.02179i) q^{12} +(-3.59822 - 0.229866i) q^{13} +(-1.06748 - 2.72168i) q^{14} +(6.68038 + 1.41996i) q^{15} +(-1.12515 + 3.83850i) q^{16} +(3.01134 - 6.76359i) q^{17} +(-3.01378 + 4.71538i) q^{18} +(-0.0958166 - 0.450782i) q^{19} +(-1.52863 + 4.94784i) q^{20} +5.45266 q^{21} +(2.14808 - 4.16962i) q^{22} +(5.13562 + 2.96505i) q^{23} +(-5.89861 - 4.56764i) q^{24} +(-0.526709 + 1.62104i) q^{25} +(4.40518 + 2.56795i) q^{26} +(-1.48389 - 2.04240i) q^{27} +(-0.372457 + 4.11770i) q^{28} +(-1.22305 + 5.75399i) q^{29} +(-7.55001 - 6.02370i) q^{30} +(2.58566 + 1.87859i) q^{31} +(3.85228 - 4.14246i) q^{32} +(5.77693 + 6.56928i) q^{33} +(-8.08898 + 6.64809i) q^{34} +(-0.559513 + 5.32341i) q^{35} +(6.79579 - 4.05617i) q^{36} +(0.738466 - 3.47421i) q^{37} +(-0.164111 + 0.630743i) q^{38} +(-7.45872 + 5.90000i) q^{39} +(5.06465 - 5.29009i) q^{40} +(4.66748 + 5.18376i) q^{41} +(-6.89598 - 3.45088i) q^{42} +(-5.18381 - 8.97862i) q^{43} +(-5.35554 + 3.91384i) q^{44} +(8.87345 - 5.12309i) q^{45} +(-4.61849 - 7.00013i) q^{46} +(-0.0301227 + 0.0927082i) q^{47} +(4.56920 + 9.50980i) q^{48} +(-0.284993 - 2.71153i) q^{49} +(1.69205 - 1.71679i) q^{50} +(-6.03454 - 18.5724i) q^{51} +(-3.94603 - 6.03563i) q^{52} +(-8.47246 - 6.15560i) q^{53} +(0.584081 + 3.52214i) q^{54} +(-7.00635 + 4.96590i) q^{55} +(3.07705 - 4.97193i) q^{56} +(-0.983409 - 0.714488i) q^{57} +(5.18837 - 6.50302i) q^{58} +(-0.639382 + 0.710105i) q^{59} +(5.73622 + 12.3964i) q^{60} +(-1.94549 + 4.36965i) q^{61} +(-2.08116 - 4.01226i) q^{62} +(6.07921 - 5.47374i) q^{63} +(-7.49365 + 2.80094i) q^{64} +(-4.99479 - 7.88734i) q^{65} +(-3.14851 - 11.9643i) q^{66} +(-3.70317 + 6.41407i) q^{67} +(14.4376 - 3.28848i) q^{68} +(15.2996 - 3.25204i) q^{69} +(4.07670 - 6.37841i) q^{70} +(3.61232 + 1.60831i) q^{71} +(-11.1617 + 0.828919i) q^{72} +(-4.91193 - 15.1174i) q^{73} +(-3.13269 + 3.92647i) q^{74} +(1.82859 + 4.10708i) q^{75} +(0.606736 - 0.693838i) q^{76} +(-4.64722 + 5.04106i) q^{77} +(13.1670 - 2.74126i) q^{78} +(-0.668752 - 0.485877i) q^{79} +(-9.75324 + 3.48506i) q^{80} +(5.09864 + 1.08375i) q^{81} +(-2.62226 - 9.50984i) q^{82} +(0.341485 + 0.470014i) q^{83} +(6.53735 + 8.72864i) q^{84} +(18.7514 - 3.98573i) q^{85} +(0.873575 + 14.6360i) q^{86} +(7.75799 + 13.4372i) q^{87} +(9.25014 - 1.56042i) q^{88} +(-1.45328 - 0.839052i) q^{89} +(-14.4645 + 0.863342i) q^{90} +(-5.20986 - 5.33042i) q^{91} +(1.41077 + 11.7760i) q^{92} +(8.38382 - 0.881175i) q^{93} +(0.0967693 - 0.0981839i) q^{94} +(0.798463 - 0.886783i) q^{95} +(0.239897 - 14.9188i) q^{96} +(-16.4604 - 1.73005i) q^{97} +(-1.35564 + 3.60963i) q^{98} +(13.0354 + 1.52488i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 640 q - 15 q^{2} - 3 q^{4} - 15 q^{6} - 78 q^{9}+O(q^{10}) $ 640 * q - 15 * q^2 - 3 * q^4 - 15 * q^6 - 78 * q^9	$ 640 q - 15 q^{2} - 3 q^{4} - 15 q^{6} - 78 q^{9} - 4 q^{12} - 20 q^{13} - 12 q^{14} - 19 q^{16} - 10 q^{17} - 45 q^{20} - 15 q^{22} - 15 q^{24} + 104 q^{25} - 20 q^{26} - 15 q^{28} - 10 q^{29} + 45 q^{30} - 24 q^{33} + 4 q^{36} - 18 q^{37} - 14 q^{38} - 20 q^{40} - 30 q^{41} - 13 q^{42} - 108 q^{45} - 15 q^{46} + 35 q^{48} - 74 q^{49} - 90 q^{50} + 15 q^{52} - 8 q^{53} + 50 q^{56} + 27 q^{58} - 10 q^{61} - 5 q^{62} - 84 q^{64} - 146 q^{66} - 70 q^{68} - 26 q^{69} - 15 q^{72} - 55 q^{74} + 44 q^{77} + 24 q^{78} - 39 q^{80} + 30 q^{81} - 29 q^{82} + 30 q^{84} - 30 q^{85} - 75 q^{88} - 24 q^{89} + 30 q^{90} + 14 q^{92} + 66 q^{93} - 5 q^{94} - 30 q^{97}+O(q^{100}) $ 640 * q - 15 * q^2 - 3 * q^4 - 15 * q^6 - 78 * q^9 - 4 * q^12 - 20 * q^13 - 12 * q^14 - 19 * q^16 - 10 * q^17 - 45 * q^20 - 15 * q^22 - 15 * q^24 + 104 * q^25 - 20 * q^26 - 15 * q^28 - 10 * q^29 + 45 * q^30 - 24 * q^33 + 4 * q^36 - 18 * q^37 - 14 * q^38 - 20 * q^40 - 30 * q^41 - 13 * q^42 - 108 * q^45 - 15 * q^46 + 35 * q^48 - 74 * q^49 - 90 * q^50 + 15 * q^52 - 8 * q^53 + 50 * q^56 + 27 * q^58 - 10 * q^61 - 5 * q^62 - 84 * q^64 - 146 * q^66 - 70 * q^68 - 26 * q^69 - 15 * q^72 - 55 * q^74 + 44 * q^77 + 24 * q^78 - 39 * q^80 + 30 * q^81 - 29 * q^82 + 30 * q^84 - 30 * q^85 - 75 * q^88 - 24 * q^89 + 30 * q^90 + 14 * q^92 + 66 * q^93 - 5 * q^94 - 30 * q^97

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/572\mathbb{Z}\right)^\times$.

$n$	$287$	$353$	$365$
$\chi(n)$	$-1$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{7}{10}\right)$

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 $

$2$	−1.26470	−	0.632879i	−0.894277	−	0.447513i
$2$	−1.26470	−	0.632879i	−0.894277	−	0.447513i
$3$	1.96015	−	1.76492i	1.13169	−	1.01898i	0.132075	−	0.991240i	$-0.457836\pi$
$3$	1.96015	−	1.76492i	1.13169	−	1.01898i	0.999615	−	0.0277390i	$-0.00883074\pi$
$4$	1.19893	+	1.60080i	0.599464	+	0.800402i
$5$	1.52195	+	2.09479i	0.680637	+	0.936817i	0.999941	−	0.0108354i	$-0.00344909\pi$
$5$	1.52195	+	2.09479i	0.680637	+	0.936817i	−0.319304	+	0.947652i	$0.603449\pi$
$6$	−3.59598	+	0.991561i	−1.46805	+	0.404803i
$7$	1.53627	+	1.38326i	0.580655	+	0.522824i	0.906282	−	0.422674i	$-0.138909\pi$
$7$	1.53627	+	1.38326i	0.580655	+	0.522824i	−0.325627	+	0.945498i	$0.605575\pi$
$8$	−0.503167	−	2.78331i	−0.177896	−	0.984049i
$9$	0.413632	−	3.93545i	0.137877	−	1.31182i
$10$	−0.599063	−	3.61249i	−0.189441	−	1.14237i
$11$	−0.0389047	+	3.31640i	−0.0117302	+	0.999931i
$11$	−0.0389047	+	3.31640i	−0.0117302	+	0.999931i
$12$	5.17537	+	1.02179i	1.49400	+	0.294966i
$13$	−3.59822	−	0.229866i	−0.997966	−	0.0637533i
$13$	−3.59822	−	0.229866i	−0.997966	−	0.0637533i
$14$	−1.06748	−	2.72168i	−0.285296	−	0.727401i
$15$	6.68038	+	1.41996i	1.72487	+	0.366632i
$16$	−1.12515	+	3.83850i	−0.281286	+	0.959624i
$17$	3.01134	−	6.76359i	0.730358	−	1.64041i	−0.0370996	−	0.999312i	$-0.511812\pi$
$17$	3.01134	−	6.76359i	0.730358	−	1.64041i	0.767458	−	0.641100i	$-0.221521\pi$
$18$	−3.01378	+	4.71538i	−0.710355	+	1.11142i
$19$	−0.0958166	−	0.450782i	−0.0219818	−	0.103416i	0.965789	−	0.259329i	$-0.0835014\pi$
$19$	−0.0958166	−	0.450782i	−0.0219818	−	0.103416i	−0.987771	+	0.155913i	$0.950168\pi$
$20$	−1.52863	+	4.94784i	−0.341813	+	1.10637i
$21$	5.45266			1.18987
$22$	2.14808	−	4.16962i	0.457973	−	0.888966i
$23$	5.13562	+	2.96505i	1.07085	+	0.618256i	0.928414	−	0.371548i	$-0.121173\pi$
$23$	5.13562	+	2.96505i	1.07085	+	0.618256i	0.142437	+	0.989804i	$0.454506\pi$
$24$	−5.89861	−	4.56764i	−1.20405	−	0.932367i
$25$	−0.526709	+	1.62104i	−0.105342	+	0.324209i
$26$	4.40518	+	2.56795i	0.863928	+	0.503616i
$27$	−1.48389	−	2.04240i	−0.285574	−	0.393060i
$28$	−0.372457	+	4.11770i	−0.0703878	+	0.778172i
$29$	−1.22305	+	5.75399i	−0.227114	+	1.06849i	0.705806	+	0.708405i	$0.250585\pi$
$29$	−1.22305	+	5.75399i	−0.227114	+	1.06849i	−0.932920	+	0.360083i	$0.882748\pi$
$30$	−7.55001	−	6.02370i	−1.37844	−	1.09977i
$31$	2.58566	+	1.87859i	0.464397	+	0.337404i	0.795254	−	0.606277i	$-0.207338\pi$
$31$	2.58566	+	1.87859i	0.464397	+	0.337404i	−0.330856	+	0.943681i	$0.607338\pi$
$32$	3.85228	−	4.14246i	0.680992	−	0.732290i
$33$	5.77693	+	6.56928i	1.00563	+	1.14357i
$34$	−8.08898	+	6.64809i	−1.38725	+	1.14014i
$35$	−0.559513	+	5.32341i	−0.0945750	+	0.899821i
$36$	6.79579	−	4.05617i	1.13263	−	0.676028i
$37$	0.738466	−	3.47421i	0.121403	−	0.571157i	−0.874829	−	0.484431i	$-0.839026\pi$
$37$	0.738466	−	3.47421i	0.121403	−	0.571157i	0.996232	−	0.0867251i	$-0.0276402\pi$
$38$	−0.164111	+	0.630743i	−0.0266223	+	0.102320i
$39$	−7.45872	+	5.90000i	−1.19435	+	0.944757i
$40$	5.06465	−	5.29009i	0.800791	−	0.836437i
$41$	4.66748	+	5.18376i	0.728937	+	0.809567i	0.987698	−	0.156375i	$-0.0499807\pi$
$41$	4.66748	+	5.18376i	0.728937	+	0.809567i	−0.258760	+	0.965942i	$0.583314\pi$
$42$	−6.89598	−	3.45088i	−1.06407	−	0.532482i
$43$	−5.18381	−	8.97862i	−0.790524	−	1.36923i	−0.925643	−	0.378398i	$-0.876475\pi$
$43$	−5.18381	−	8.97862i	−0.790524	−	1.36923i	0.135119	−	0.990829i	$-0.456858\pi$
$44$	−5.35554	+	3.91384i	−0.807379	+	0.590034i
$45$	8.87345	−	5.12309i	1.32278	−	0.763705i
$46$	−4.61849	−	7.00013i	−0.680960	−	1.03211i
$47$	−0.0301227	+	0.0927082i	−0.00439385	+	0.0135229i	−0.953229	−	0.302248i	$-0.902263\pi$
$47$	−0.0301227	+	0.0927082i	−0.00439385	+	0.0135229i	0.948836	+	0.315771i	$0.102263\pi$
$48$	4.56920	+	9.50980i	0.659507	+	1.37262i
$49$	−0.284993	−	2.71153i	−0.0407133	−	0.387361i
$50$	1.69205	−	1.71679i	0.239292	−	0.242791i
$51$	−6.03454	−	18.5724i	−0.845005	−	2.60066i
$52$	−3.94603	−	6.03563i	−0.547216	−	0.836991i
$53$	−8.47246	−	6.15560i	−1.16378	−	0.845537i	−0.173530	−	0.984829i	$-0.555517\pi$
$53$	−8.47246	−	6.15560i	−1.16378	−	0.845537i	−0.990251	+	0.139292i	$0.955517\pi$
$54$	0.584081	+	3.52214i	0.0794834	+	0.479303i
$55$	−7.00635	+	4.96590i	−0.944736	+	0.669601i
$56$	3.07705	−	4.97193i	0.411188	−	0.664402i
$57$	−0.983409	−	0.714488i	−0.130256	−	0.0946363i
$58$	5.18837	−	6.50302i	0.681266	−	0.853888i
$59$	−0.639382	+	0.710105i	−0.0832404	+	0.0924478i	−0.783326	−	0.621611i	$-0.786478\pi$
$59$	−0.639382	+	0.710105i	−0.0832404	+	0.0924478i	0.700086	+	0.714059i	$0.253145\pi$
$60$	5.73622	+	12.3964i	0.740543	+	1.60037i
$61$	−1.94549	+	4.36965i	−0.249095	+	0.559476i	−0.994209	−	0.107460i	$-0.965728\pi$
$61$	−1.94549	+	4.36965i	−0.249095	+	0.559476i	0.745115	+	0.666936i	$0.232395\pi$
$62$	−2.08116	−	4.01226i	−0.264307	−	0.509557i
$63$	6.07921	−	5.47374i	0.765908	−	0.689627i
$64$	−7.49365	+	2.80094i	−0.936706	+	0.350117i
$65$	−4.99479	−	7.88734i	−0.619528	−	0.978304i
$66$	−3.14851	−	11.9643i	−0.387555	−	1.47270i
$67$	−3.70317	+	6.41407i	−0.452414	+	0.783604i	−0.998535	−	0.0541022i	$-0.982770\pi$
$67$	−3.70317	+	6.41407i	−0.452414	+	0.783604i	0.546122	+	0.837706i	$0.316104\pi$
$68$	14.4376	−	3.28848i	1.75081	−	0.398787i
$69$	15.2996	−	3.25204i	1.84186	−	0.391500i
$70$	4.07670	−	6.37841i	0.487258	−	0.762366i
$71$	3.61232	+	1.60831i	0.428703	+	0.190871i	0.609733	−	0.792607i	$-0.291277\pi$
$71$	3.61232	+	1.60831i	0.428703	+	0.190871i	−0.181030	+	0.983478i	$0.557943\pi$
$72$	−11.1617	+	0.828919i	−1.31542	+	0.0976890i
$73$	−4.91193	−	15.1174i	−0.574898	−	1.76935i	−0.636527	−	0.771255i	$-0.719630\pi$
$73$	−4.91193	−	15.1174i	−0.574898	−	1.76935i	0.0616288	−	0.998099i	$-0.480370\pi$
$74$	−3.13269	+	3.92647i	−0.364168	+	0.456443i
$75$	1.82859	+	4.10708i	0.211147	+	0.474245i
$76$	0.606736	−	0.693838i	0.0695974	−	0.0795887i
$77$	−4.64722	+	5.04106i	−0.529599	+	0.574482i
$78$	13.1670	−	2.74126i	1.49087	−	0.310386i
$79$	−0.668752	−	0.485877i	−0.0752405	−	0.0546654i	0.549529	−	0.835475i	$-0.314807\pi$
$79$	−0.668752	−	0.485877i	−0.0752405	−	0.0546654i	−0.624770	+	0.780809i	$0.714807\pi$
$80$	−9.75324	+	3.48506i	−1.09045	+	0.389642i
$81$	5.09864	+	1.08375i	0.566516	+	0.120417i
$82$	−2.62226	−	9.50984i	−0.289580	−	1.05019i
$83$	0.341485	+	0.470014i	0.0374829	+	0.0515907i	0.827347	−	0.561691i	$-0.189849\pi$
$83$	0.341485	+	0.470014i	0.0374829	+	0.0515907i	−0.789864	+	0.613282i	$0.789849\pi$
$84$	6.53735	+	8.72864i	0.713283	+	0.952373i
$85$	18.7514	−	3.98573i	2.03387	−	0.432313i
$86$	0.873575	+	14.6360i	0.0942000	+	1.57824i
$87$	7.75799	+	13.4372i	0.831744	+	1.44062i
$88$	9.25014	−	1.56042i	0.986068	−	0.166341i
$89$	−1.45328	−	0.839052i	−0.154047	−	0.0889393i	0.420995	−	0.907063i	$-0.361681\pi$
$89$	−1.45328	−	0.839052i	−0.154047	−	0.0889393i	−0.575042	+	0.818124i	$0.695014\pi$
$90$	−14.4645	+	0.863342i	−1.52470	+	0.0910042i
$91$	−5.20986	−	5.33042i	−0.546142	−	0.558779i
$92$	1.41077	+	11.7760i	0.147083	+	1.22773i
$93$	8.38382	−	0.881175i	0.869362	−	0.0913736i
$94$	0.0967693	−	0.0981839i	0.00998099	−	0.0101269i
$95$	0.798463	−	0.886783i	0.0819206	−	0.0909820i
$96$	0.239897	−	14.9188i	0.0244844	−	1.52264i
$97$	−16.4604	−	1.73005i	−1.67130	−	0.175660i	−0.778973	−	0.627058i	$-0.784259\pi$
$97$	−16.4604	−	1.73005i	−1.67130	−	0.175660i	−0.892323	+	0.451397i	$0.850926\pi$
$98$	−1.35564	+	3.60963i	−0.136940	+	0.364628i
$99$	13.0354	+	1.52488i	1.31011	+	0.153256i
$100$	−3.22646	+	1.10036i	−0.322646	+	0.110036i
$101$	−2.90044	−	6.51448i	−0.288604	−	0.648215i	0.709817	−	0.704386i	$-0.248778\pi$
$101$	−2.90044	−	6.51448i	−0.288604	−	0.648215i	−0.998421	+	0.0561706i	$0.982111\pi$
$102$	−4.12221	+	27.3076i	−0.408160	+	2.70386i
$103$	−3.14481	+	1.02181i	−0.309867	+	0.100682i	−0.459822	−	0.888011i	$-0.652087\pi$
$103$	−3.14481	+	1.02181i	−0.309867	+	0.100682i	0.149956	+	0.988693i	$0.452087\pi$
$104$	1.17071	+	10.1306i	0.114798	+	0.993389i
$105$	8.29869	+	11.4222i	0.809869	+	1.11469i
$106$	6.81935	+	13.1470i	0.662354	+	1.27695i
$107$	6.61854	+	7.35063i	0.639839	+	0.710613i	0.972623	−	0.232390i	$-0.0746547\pi$
$107$	6.61854	+	7.35063i	0.639839	+	0.710613i	−0.332784	+	0.943003i	$0.607988\pi$
$108$	1.49040	−	4.82410i	0.143414	−	0.464199i
$109$	−12.0417			−1.15339			−0.576694	−	0.816960i	$-0.695658\pi$
$109$	−12.0417			−1.15339			−0.576694	+	0.816960i	$0.695658\pi$
$110$	12.0037	−	1.84619i	1.14451	−	0.176027i
$111$	−4.68421	−	8.11329i	−0.444606	−	0.770080i
$112$	−7.03818	+	4.34059i	−0.665045	+	0.410147i
$113$	−7.28688	+	1.54887i	−0.685492	+	0.145706i	−0.537476	−	0.843279i	$-0.680622\pi$
$113$	−7.28688	+	1.54887i	−0.685492	+	0.145706i	−0.148016	+	0.988985i	$0.547289\pi$
$114$	0.791531	+	1.52599i	0.0741337	+	0.142922i
$115$	1.60501	+	15.2707i	0.149668	+	1.42400i
$116$	−10.6773	+	4.94075i	−0.991367	+	0.458737i
$117$	−2.39296	+	14.0655i	−0.221229	+	1.30036i
$118$	1.25804	−	0.493418i	0.115812	−	0.0454228i
$119$	13.9821	−	6.22521i	1.28173	−	0.570664i
$120$	0.590842	−	19.3081i	0.0539362	−	1.76258i
$121$	−10.9970	−	0.258047i	−0.999725	−	0.0234588i
$122$	5.22592	−	4.29503i	0.473133	−	0.388853i
$123$	18.2979	+	1.92318i	1.64986	+	0.173408i
$124$	0.0927615	+	6.39142i	0.00833023	+	0.573966i
$125$	8.11548	−	2.63688i	0.725871	−	0.235850i
$126$	−11.1526	+	3.07523i	−0.993551	+	0.273963i
$127$	−0.852109	−	8.10727i	−0.0756124	−	0.719404i	−0.965000	−	0.262250i	$-0.915535\pi$
$127$	−0.852109	−	8.10727i	−0.0756124	−	0.719404i	0.889388	−	0.457154i	$-0.151131\pi$
$128$	11.2499	+	1.20023i	0.994357	+	0.106086i
$129$	−26.0076	−	8.45038i	−2.28984	−	0.744015i
$130$	1.32517	+	13.1362i	0.116225	+	1.15212i
$131$	−20.8049			−1.81774			−0.908868	−	0.417083i	$-0.863052\pi$
$131$	−20.8049			−1.81774			−0.908868	+	0.417083i	$0.863052\pi$
$132$	−3.59002	+	17.1238i	−0.312471	+	1.49044i
$133$	0.476349	−	0.825061i	0.0413047	−	0.0715419i
$134$	8.74273	−	5.76821i	0.755256	−	0.498298i
$135$	2.01998	−	6.21686i	0.173852	−	0.535062i
$136$	−20.3404	−	4.97829i	−1.74417	−	0.426885i
$137$	2.09580	−	4.70725i	0.179056	−	0.402167i	−0.801612	−	0.597845i	$-0.796024\pi$
$137$	2.09580	−	4.70725i	0.179056	−	0.402167i	0.980668	+	0.195677i	$0.0626906\pi$
$138$	−21.4076	−	5.56998i	−1.82234	−	0.474148i
$139$	−11.0429	+	12.2644i	−0.936648	+	1.04025i	0.0624604	+	0.998047i	$0.480105\pi$
$139$	−11.0429	+	12.2644i	−0.936648	+	1.04025i	−0.999109	+	0.0422061i	$0.986561\pi$
$140$	−9.19256	+	5.48672i	−0.776913	+	0.463712i
$141$	0.104578	+	0.234886i	0.00880705	+	0.0197810i
$142$	−3.55063	−	4.32019i	−0.297962	−	0.362542i
$143$	0.902314	−	11.9242i	0.0754553	−	0.997149i
$144$	14.6408	+	6.01567i	1.22007	+	0.501306i
$145$	−13.9148	+	6.19526i	−1.15556	+	0.514489i
$146$	−3.35536	+	22.2276i	−0.277691	+	1.83957i
$147$	−5.34426	−	4.81199i	−0.440787	−	0.396887i
$148$	6.44690	−	2.98319i	0.529932	−	0.245216i
$149$	4.82397	+	2.14777i	0.395195	+	0.175952i	0.594706	−	0.803943i	$-0.297269\pi$
$149$	4.82397	+	2.14777i	0.395195	+	0.175952i	−0.199511	+	0.979896i	$0.563935\pi$
$150$	0.286670	−	6.35150i	0.0234065	−	0.518598i
$151$	−7.72558	−	2.51019i	−0.628699	−	0.204277i	−0.0227004	−	0.999742i	$-0.507226\pi$
$151$	−7.72558	−	2.51019i	−0.628699	−	0.204277i	−0.605999	+	0.795466i	$0.707226\pi$
$152$	−1.20645	+	0.493506i	−0.0978563	+	0.0400286i
$153$	−25.3721	−	14.6486i	−2.05122	−	1.18427i
$154$	9.06771	−	3.43430i	0.730697	−	0.276744i
$155$			8.27552i			0.664705i
$156$	−18.3872	−	4.86628i	−1.47216	−	0.389614i
$157$	2.21363	−	6.81285i	0.176667	−	0.543725i	−0.823039	−	0.567985i	$-0.807723\pi$
$157$	2.21363	−	6.81285i	0.176667	−	0.543725i	0.999706	+	0.0242604i	$0.00772308\pi$
$158$	0.538269	+	1.03773i	0.0428224	+	0.0825572i
$159$	−27.4714	+	2.88736i	−2.17862	+	0.228983i
$160$	14.5405	+	1.76507i	1.14953	+	0.139541i
$161$	3.78825	+	11.6590i	0.298556	+	0.918860i
$162$	−5.76236	−	4.59744i	−0.452734	−	0.361209i
$163$	0.710315	−	6.75819i	0.0556361	−	0.529342i	−0.930839	−	0.365430i	$-0.880922\pi$
$163$	0.710315	−	6.75819i	0.0556361	−	0.529342i	0.986475	−	0.163912i	$-0.0524114\pi$
$164$	−2.70221	+	13.6867i	−0.211007	+	1.06875i
$165$	−4.96905	+	22.0996i	−0.386840	+	1.72045i
$166$	−0.134414	−	0.810545i	−0.0104325	−	0.0629105i
$167$	8.55794	+	19.2215i	0.662233	+	1.48740i	0.861659	+	0.507488i	$0.169426\pi$
$167$	8.55794	+	19.2215i	0.662233	+	1.48740i	−0.199425	+	0.979913i	$0.563908\pi$
$168$	−2.74360	−	15.1765i	−0.211673	−	1.17089i
$169$	12.8943	+	1.65421i	0.991871	+	0.127247i
$170$	−26.2374	−	6.82662i	−2.01231	−	0.523578i
$171$	−1.81366	+	0.190623i	−0.138694	+	0.0145773i
$172$	8.15800	−	19.0630i	0.622042	−	1.45354i
$173$	−0.445548	−	2.09614i	−0.0338744	−	0.159367i	0.957959	−	0.286904i	$-0.0926261\pi$
$173$	−0.445548	−	2.09614i	−0.0338744	−	0.159367i	−0.991834	+	0.127537i	$0.959293\pi$
$174$	−1.30738	−	21.9039i	−0.0991119	−	1.66053i
$175$	−3.05150	+	1.76178i	−0.230671	+	0.133178i
$176$	−12.6862	−	3.88077i	−0.956258	−	0.292524i
$177$			2.52037i			0.189442i
$178$	1.30694	+	1.98090i	0.0979596	+	0.148475i
$179$	13.1385	−	11.8299i	0.982017	−	0.884212i	−0.0112645	−	0.999937i	$-0.503586\pi$
$179$	13.1385	−	11.8299i	0.982017	−	0.884212i	0.993281	+	0.115725i	$0.0369190\pi$
$180$	18.8397	+	8.06244i	1.40423	+	0.600939i
$181$	1.47813	−	1.07392i	0.109868	−	0.0798240i	−0.531494	−	0.847062i	$-0.678369\pi$
$181$	1.47813	−	1.07392i	0.109868	−	0.0798240i	0.641363	+	0.767238i	$0.278369\pi$
$182$	3.21540	+	10.0386i	0.238341	+	0.744110i
$183$	3.89864	+	11.9988i	0.288196	+	0.886976i
$184$	5.66859	−	15.7859i	0.417894	−	1.16376i
$185$	8.40164	−	3.74065i	0.617701	−	0.275018i
$186$	−11.1607	−	4.19153i	−0.818342	−	0.307338i
$187$	22.3136	+	10.2499i	1.63173	+	0.749550i
$188$	−0.184523	+	0.0629298i	−0.0134577	+	0.00458963i
$189$	0.545520	−	5.19028i	0.0396808	−	0.377537i
$190$	−1.57104	+	0.616183i	−0.113975	+	0.0447026i
$191$	12.6510	+	11.3910i	0.915391	+	0.824222i	0.984858	−	0.173363i	$-0.0554632\pi$
$191$	12.6510	+	11.3910i	0.915391	+	0.824222i	−0.0694672	+	0.997584i	$0.522130\pi$
$192$	−9.74519	+	18.7160i	−0.703299	+	1.35071i
$193$	1.75148	+	16.6642i	0.126074	+	1.19951i	0.856363	+	0.516375i	$0.172719\pi$
$193$	1.75148	+	16.6642i	0.126074	+	1.19951i	−0.730289	+	0.683139i	$0.760614\pi$
$194$	19.7225	+	12.6054i	1.41599	+	0.905016i
$195$	−23.7111	−	6.64491i	−1.69798	−	0.475852i
$196$	3.99893	−	3.70714i	0.285638	−	0.264796i
$197$	−5.36822	+	9.29803i	−0.382470	+	0.662457i	−0.991415	−	0.130756i	$-0.958260\pi$
$197$	−5.36822	+	9.29803i	−0.382470	+	0.662457i	0.608945	+	0.793212i	$0.291593\pi$
$198$	−15.5208	−	10.1783i	−1.10302	−	0.723344i
$199$	−16.1418	+	9.31948i	−1.14426	+	0.660640i	−0.947483	−	0.319808i	$-0.896382\pi$
$199$	−16.1418	+	9.31948i	−1.14426	+	0.660640i	−0.196780	+	0.980448i	$0.563048\pi$
$200$	4.77689	+	0.650340i	0.337777	+	0.0459860i
$201$	4.06160	+	19.1083i	0.286483	+	1.34780i
$202$	−0.454705	+	10.0745i	−0.0319929	+	0.708839i
$203$	−9.83821	+	7.14787i	−0.690507	+	0.501682i
$204$	22.4958	−	31.9271i	1.57502	−	2.23534i
$205$	−3.75519	+	17.6668i	−0.262274	+	1.23390i
$206$	4.62392	+	0.698001i	0.322163	+	0.0486321i
$207$	13.7931	−	18.9845i	0.958684	−	1.31951i
$208$	4.93086	−	13.5531i	0.341893	−	0.939739i
$209$	1.49870	−	0.300228i	0.103667	−	0.0207672i
$210$	−3.26649	−	19.6977i	−0.225409	−	1.35927i
$211$	14.9303	−	6.64740i	1.02784	−	0.457626i	0.177650	−	0.984094i	$-0.443151\pi$
$211$	14.9303	−	6.64740i	1.02784	−	0.457626i	0.850195	+	0.526468i	$0.176484\pi$
$212$	−0.303953	−	20.9429i	−0.0208756	−	1.43836i
$213$	9.91921	−	3.22295i	0.679653	−	0.220833i
$214$	−3.71840	−	13.4851i	−0.254184	−	0.921821i
$215$	10.9188	−	24.5240i	0.744655	−	1.67252i
$216$	−4.93798	+	5.15779i	−0.335987	+	0.350943i
$217$	1.37368	+	6.46266i	0.0932515	+	0.438714i
$218$	15.2292	+	7.62096i	1.03145	+	0.516156i
$219$	−36.3091	−	20.9631i	−2.45354	−	1.41655i
$220$	−16.3495	−	5.26205i	−1.10229	−	0.354767i
$221$	−12.3902	+	23.6446i	−0.833454	+	1.59051i
$222$	0.789383	+	13.2254i	0.0529799	+	0.887632i
$223$	−7.71734	−	8.57098i	−0.516791	−	0.573955i	0.427103	−	0.904203i	$-0.359534\pi$
$223$	−7.71734	−	8.57098i	−0.516791	−	0.573955i	−0.943894	+	0.330248i	$0.892868\pi$
$224$	11.6482	−	1.03522i	0.778281	−	0.0691688i
$225$	6.16166	+	2.74335i	0.410778	+	0.182890i
$226$	10.1960	+	2.65286i	0.678225	+	0.176465i
$227$	−1.39098	−	1.25244i	−0.0923224	−	0.0831274i	0.621677	−	0.783273i	$-0.286452\pi$
$227$	−1.39098	−	1.25244i	−0.0923224	−	0.0831274i	−0.714000	+	0.700146i	$0.753118\pi$
$228$	−0.0352802	−	2.43086i	−0.00233649	−	0.160988i
$229$	11.1017	−	15.2801i	0.733618	−	1.00974i	−0.265342	−	0.964154i	$-0.585485\pi$
$229$	11.1017	−	15.2801i	0.733618	−	1.00974i	0.998960	−	0.0455847i	$-0.0145151\pi$
$230$	7.63464	−	20.3286i	0.503414	−	1.34043i
$231$	−0.212134	+	18.0832i	−0.0139574	+	1.18979i
$232$	16.6305	+	0.508907i	1.09185	+	0.0334114i
$233$	2.76620	−	3.80735i	0.181220	−	0.249428i	−0.708737	−	0.705473i	$-0.750735\pi$
$233$	2.76620	−	3.80735i	0.181220	−	0.249428i	0.889956	+	0.456045i	$0.150735\pi$
$234$	11.9281	−	16.2742i	0.779767	−	1.06388i
$235$	−0.240049	+	0.0779967i	−0.0156591	+	0.00508794i
$236$	−1.90331	−	0.172160i	−0.123895	−	0.0112067i
$237$	−2.16839	+	0.227907i	−0.140852	+	0.0148041i
$238$	−21.6229	−	0.975934i	−1.40160	−	0.0632604i
$239$	−7.82580	−	2.54276i	−0.506209	−	0.164477i	0.0447687	−	0.998997i	$-0.485745\pi$
$239$	−7.82580	−	2.54276i	−0.506209	−	0.164477i	−0.550977	+	0.834520i	$0.685745\pi$
$240$	−12.9669	+	24.0450i	−0.837010	+	1.55210i
$241$	8.10876	+	14.0448i	0.522331	+	0.904705i	0.999662	+	0.0259810i	$0.00827095\pi$
$241$	8.10876	+	14.0448i	0.522331	+	0.904705i	−0.477331	+	0.878724i	$0.658396\pi$
$242$	13.7445	+	7.28611i	0.883533	+	0.468369i
$243$	18.4658	−	10.6612i	1.18458	−	0.683917i
$244$	−9.32745	+	2.12454i	−0.597129	+	0.136010i
$245$	5.24632	−	4.72381i	0.335175	−	0.301793i
$246$	−21.9242	−	14.0126i	−1.39783	−	0.893410i
$247$	0.241149	+	1.64403i	0.0153440	+	0.104607i
$248$	3.92768	−	8.14193i	0.249408	−	0.517013i
$249$	1.49890	+	0.318601i	0.0949888	+	0.0201905i
$250$	−11.9325	−	1.80126i	−0.754675	−	0.113922i
$251$	−4.12821	−	0.433892i	−0.260570	−	0.0273870i	−0.0266575	−	0.999645i	$-0.508486\pi$
$251$	−4.12821	−	0.433892i	−0.260570	−	0.0273870i	−0.233913	+	0.972258i	$0.575153\pi$
$252$	16.0509	+	3.16900i	1.01111	+	0.199628i
$253$	−10.0331	+	16.9164i	−0.630775	+	1.06352i
$254$	−4.05326	+	10.7925i	−0.254324	+	0.677184i
$255$	29.7209	−	40.9074i	1.86120	−	2.56172i
$256$	−13.4681	−	8.63773i	−0.841756	−	0.539858i
$257$	−19.5246	−	4.15009i	−1.21791	−	0.258875i	−0.446250	−	0.894908i	$-0.647241\pi$
$257$	−19.5246	−	4.15009i	−1.21791	−	0.258875i	−0.771662	+	0.636033i	$0.780574\pi$
$258$	27.5437	+	27.1469i	1.71480	+	1.69009i
$259$	5.94023	−	4.31583i	0.369108	−	0.268173i
$260$	6.63769	−	17.4520i	0.411652	−	1.08233i
$261$	22.1386	+	7.19327i	1.37035	+	0.445252i
$262$	26.3120	+	13.1670i	1.62556	+	0.813461i
$263$	11.6881	−	20.2444i	0.720720	−	1.24832i	−0.239992	−	0.970775i	$-0.577145\pi$
$263$	11.6881	−	20.2444i	0.720720	−	1.24832i	0.960712	−	0.277548i	$-0.0895218\pi$
$264$	15.3776	−	19.3844i	0.946426	−	1.19303i
$265$		−	27.1165i		−	1.66575i
$266$	−1.12460	+	0.741983i	−0.0689538	+	0.0454939i
$267$	−4.32950	+	0.920264i	−0.264961	+	0.0563193i
$268$	−14.7075	+	1.76196i	−0.898404	+	0.107629i
$269$	−9.17358	−	4.08434i	−0.559323	−	0.249027i	0.107548	−	0.994200i	$-0.465700\pi$
$269$	−9.17358	−	4.08434i	−0.559323	−	0.249027i	−0.666871	+	0.745173i	$0.732367\pi$
$270$	−6.48919	+	6.58405i	−0.394919	+	0.400693i
$271$	3.95802	−	18.6210i	0.240432	−	1.13115i	−0.677844	−	0.735206i	$-0.737086\pi$
$271$	3.95802	−	18.6210i	0.240432	−	1.13115i	0.918276	−	0.395940i	$-0.129581\pi$
$272$	22.5738	+	19.1691i	1.36874	+	1.16229i
$273$	−19.6199	−	1.25338i	−1.18745	−	0.0758581i
$274$	−5.62968	+	4.62686i	−0.340101	+	0.279519i
$275$	−5.35553	−	1.80984i	−0.322951	−	0.109138i
$276$	23.5491	+	20.5928i	1.41749	+	1.23954i
$277$	23.1653	+	2.43477i	1.39187	+	0.146291i	0.770605	−	0.637313i	$-0.219954\pi$
$277$	23.1653	+	2.43477i	1.39187	+	0.146291i	0.621260	+	0.783604i	$0.286621\pi$
$278$	21.7279	−	8.52195i	1.30315	−	0.511112i
$279$	8.46259	−	9.39866i	0.506642	−	0.562683i
$280$	15.0982	−	1.12127i	0.902293	−	0.0670084i
$281$	−7.16760	+	5.20756i	−0.427583	+	0.310657i	−0.780682	−	0.624929i	$-0.785128\pi$
$281$	−7.16760	+	5.20756i	−0.427583	+	0.310657i	0.353099	+	0.935586i	$0.385128\pi$
$282$	0.0163948	−	0.363245i	0.000976296	−	0.0216309i
$283$	15.5141	+	17.2301i	0.922215	+	1.02422i	0.999629	+	0.0272243i	$0.00866684\pi$
$283$	15.5141	+	17.2301i	0.922215	+	1.02422i	−0.0774145	+	0.996999i	$0.524666\pi$
$284$	1.75632	+	7.71086i	0.104219	+	0.457555i
$285$		−	3.14745i		−	0.186439i
$286$	−8.68772	+	14.5094i	−0.513715	+	0.857961i
$287$			14.4200i			0.851185i
$288$	−14.7090	−	16.8739i	−0.866736	−	0.994303i
$289$	−25.3027	−	28.1015i	−1.48840	−	1.65303i
$290$	21.5189	+	0.971239i	1.26363	+	0.0570331i
$291$	−35.3181	+	25.6601i	−2.07038	+	1.50422i
$292$	18.3109	−	25.9877i	1.07156	−	1.52081i
$293$	−9.30548	+	10.3348i	−0.543632	+	0.603764i	−0.950883	−	0.309552i	$-0.899821\pi$
$293$	−9.30548	+	10.3348i	−0.543632	+	0.603764i	0.407251	+	0.913316i	$0.366488\pi$
$294$	3.71347	+	9.46800i	0.216574	+	0.552185i
$295$	−2.46063	−	0.258622i	−0.143263	−	0.0150576i
$296$	−10.0414	−	0.307274i	−0.583643	−	0.0178599i
$297$	6.83113	−	4.84170i	0.396382	−	0.280944i
$298$	−4.74159	−	5.76928i	−0.274673	−	0.334205i
$299$	−17.7975	−	11.8494i	−1.02926	−	0.685269i
$300$	−4.38228	+	7.85131i	−0.253011	+	0.453295i
$301$	4.45607	−	20.9642i	0.256843	−	1.20835i
$302$	8.18189	+	8.06400i	0.470815	+	0.464031i
$303$	−17.1828	−	7.65029i	−0.987128	−	0.439498i
$304$	1.83813	+	0.139403i	0.105424	+	0.00799534i
$305$	−12.1144	+	2.57500i	−0.693670	+	0.147444i
$306$	22.8173	+	34.5836i	1.30438	+	1.97701i
$307$			31.6627i			1.80709i	0.428498	+	0.903543i	$0.359043\pi$
$307$			31.6627i			1.80709i	−0.428498	+	0.903543i	$0.640957\pi$
$308$	−13.6414	−	1.39541i	−0.777292	−	0.0795111i
$309$	−4.36086	+	7.55324i	−0.248081	+	0.429689i
$310$	5.23740	−	10.4660i	0.297465	−	0.594431i
$311$	24.4310	+	7.93811i	1.38535	+	0.450129i	0.904426	−	0.426631i	$-0.140300\pi$
$311$	24.4310	+	7.93811i	1.38535	+	0.450129i	0.480929	+	0.876760i	$0.340300\pi$
$312$	20.1745	+	17.7913i	1.14216	+	1.00723i
$313$	18.2949	−	13.2920i	1.03409	−	0.751311i	0.0649675	−	0.997887i	$-0.479306\pi$
$313$	18.2949	−	13.2920i	1.03409	−	0.751311i	0.969123	+	0.246576i	$0.0793056\pi$
$314$	−7.11129	+	7.21525i	−0.401313	+	0.407180i
$315$	20.7186	+	4.40387i	1.16736	+	0.248130i
$316$	−0.0239918	−	1.65307i	−0.00134964	−	0.0929926i
$317$	−5.90814	+	8.13186i	−0.331834	+	0.456731i	−0.942034	−	0.335517i	$-0.891089\pi$
$317$	−5.90814	+	8.13186i	−0.331834	+	0.456731i	0.610200	+	0.792247i	$0.291089\pi$
$318$	36.5704	+	13.7344i	2.05077	+	0.770189i
$319$	−19.0349	−	4.27997i	−1.06575	−	0.239632i
$320$	−17.2723	−	11.4347i	−0.965553	−	0.639219i
$321$	25.9466	+	2.72710i	1.44820	+	0.152212i
$322$	2.58776	−	17.1427i	0.144211	−	0.955324i
$323$	−3.33744	−	0.709394i	−0.185700	−	0.0394717i
$324$	4.37803	+	9.46126i	0.243224	+	0.525626i
$325$	2.26784	−	5.71179i	0.125797	−	0.316833i
$326$	−5.17545	+	8.09753i	−0.286642	+	0.448481i
$327$	−23.6035	+	21.2527i	−1.30528	+	1.17528i
$328$	12.0795	−	15.5993i	0.666978	−	0.861329i
$329$	−0.174516	+	0.100757i	−0.00962140	+	0.00555492i
$330$	20.2707	−	24.8045i	1.11587	−	1.36544i
$331$	−11.4132	−	19.7683i	−0.627329	−	1.08657i	−0.988086	−	0.153905i	$-0.950815\pi$
$331$	−11.4132	−	19.7683i	−0.627329	−	1.08657i	0.360757	−	0.932660i	$-0.382518\pi$
$332$	−0.342984	+	1.11016i	−0.0188237	+	0.0609281i
$333$	−13.3671	−	4.34324i	−0.732513	−	0.238008i
$334$	1.34164	−	29.7255i	0.0734112	−	1.62651i
$335$	−19.0722	+	2.00456i	−1.04202	+	0.109521i
$336$	−6.13504	+	20.9300i	−0.334694	+	1.14183i
$337$	13.6666	−	4.44056i	0.744470	−	0.241893i	0.0878699	−	0.996132i	$-0.471994\pi$
$337$	13.6666	−	4.44056i	0.744470	−	0.241893i	0.656600	+	0.754239i	$0.271994\pi$
$338$	−15.2605	−	10.2526i	−0.830063	−	0.557670i
$339$	−11.5497	+	15.8968i	−0.627294	+	0.863396i
$340$	28.8619	+	25.2387i	1.56526	+	1.36876i
$341$	−6.33074	+	8.50197i	−0.342829	+	0.460408i
$342$	2.41437	+	0.906746i	0.130554	+	0.0490312i
$343$	11.8186	−	16.2670i	0.638146	−	0.878333i
$344$	−22.3820	+	18.9459i	−1.20676	+	1.02149i
$345$	30.0977	+	27.1000i	1.62040	+	1.45902i
$346$	−0.763119	+	2.93297i	−0.0410256	+	0.157677i
$347$	−7.59345	−	3.38082i	−0.407638	−	0.181492i	0.192665	−	0.981265i	$-0.438287\pi$
$347$	−7.59345	−	3.38082i	−0.407638	−	0.181492i	−0.600303	+	0.799772i	$0.704953\pi$
$348$	−12.2091	+	28.5293i	−0.654477	+	1.52933i
$349$	−6.17034	−	6.85286i	−0.330291	−	0.366825i	0.555010	−	0.831844i	$-0.312714\pi$
$349$	−6.17034	−	6.85286i	−0.330291	−	0.366825i	−0.885301	+	0.465019i	$0.846048\pi$
$350$	4.97422	−	0.296895i	0.265883	−	0.0158697i
$351$	4.86987	+	7.69008i	0.259935	+	0.410466i
$352$	13.5882	+	12.9368i	0.724252	+	0.689536i
$353$	12.8691	+	7.43000i	0.684955	+	0.395459i	0.801719	−	0.597701i	$-0.203919\pi$
$353$	12.8691	+	7.43000i	0.684955	+	0.395459i	−0.116764	+	0.993160i	$0.537252\pi$
$354$	1.59509	−	3.18751i	0.0847780	−	0.169414i
$355$	2.12871	+	10.0148i	0.112980	+	0.531530i
$356$	−0.399220	−	3.33238i	−0.0211586	−	0.176616i
$357$	16.4198	−	36.8796i	0.869030	−	1.95187i
$358$	−24.1032	+	6.64625i	−1.27389	+	0.351265i
$359$	25.9089	−	8.41831i	1.36742	−	0.444301i	0.468906	−	0.883248i	$-0.344648\pi$
$359$	25.9089	−	8.41831i	1.36742	−	0.444301i	0.898513	+	0.438947i	$0.144648\pi$
$360$	−18.7240	−	22.1198i	−0.986840	−	1.16582i
$361$	17.1633	−	7.64161i	0.903334	−	0.402190i
$362$	−2.54905	+	0.422712i	−0.133975	+	0.0222173i
$363$	−22.0111	+	18.9030i	−1.15528	+	0.992150i
$364$	2.28670	−	14.7308i	0.119856	−	0.772101i
$365$	24.1919	−	33.2973i	1.26626	−	1.74286i
$366$	2.66318	−	17.6422i	0.139206	−	0.922174i
$367$	−4.71780	+	22.1955i	−0.246267	+	1.15860i	0.665021	+	0.746825i	$0.268423\pi$
$367$	−4.71780	+	22.1955i	−0.246267	+	1.15860i	−0.911288	+	0.411770i	$0.864911\pi$
$368$	−17.1597	+	16.3769i	−0.894509	+	0.853707i
$369$	22.3310	−	16.2244i	1.16251	−	0.844610i
$370$	−12.9929	−	0.586426i	−0.675470	−	0.0304868i
$371$	−4.50116	−	21.1763i	−0.233689	−	1.09942i
$372$	11.4622	+	12.3644i	0.594287	+	0.641064i
$373$	16.8996	−	9.75698i	0.875027	−	0.505197i	0.00601163	−	0.999982i	$-0.498086\pi$
$373$	16.8996	−	9.75698i	0.875027	−	0.505197i	0.869016	+	0.494785i	$0.164753\pi$
$374$	−21.7330	−	27.0849i	−1.12379	−	1.40053i
$375$	11.2536	−	19.4919i	0.581135	−	1.00656i
$376$	0.273193	+	0.0371932i	0.0140888	+	0.00191809i
$377$	5.72343	−	20.4230i	0.294772	−	1.05184i
$378$	−3.97474	+	6.21889i	−0.204439	+	0.319865i
$379$	0.972808	+	9.25565i	0.0499698	+	0.475431i	0.990679	+	0.136217i	$0.0434944\pi$
$379$	0.972808	+	9.25565i	0.0499698	+	0.475431i	−0.940709	+	0.339214i	$0.889839\pi$
$380$	2.37686	+	0.214994i	0.121931	+	0.0110290i
$381$	−15.9790	−	14.3875i	−0.818627	−	0.737095i
$382$	−8.79054	−	22.4127i	−0.449763	−	1.14673i
$383$	2.49217	−	23.7114i	0.127344	−	1.21160i	−0.725049	−	0.688697i	$-0.758183\pi$
$383$	2.49217	−	23.7114i	0.127344	−	1.21160i	0.852394	−	0.522901i	$-0.175150\pi$
$384$	24.1697	−	17.5025i	1.23340	−	0.893172i
$385$	−17.6328	−	2.06267i	−0.898650	−	0.105124i
$386$	8.33132	−	22.1836i	0.424053	−	1.12912i
$387$	−37.4791	+	16.6868i	−1.90517	+	0.848235i
$388$	−16.9653	−	28.4240i	−0.861282	−	1.44301i
$389$	−4.83905	−	14.8931i	−0.245350	−	0.755109i	−0.995579	−	0.0939309i	$-0.970057\pi$
$389$	−4.83905	−	14.8931i	−0.245350	−	0.755109i	0.750229	−	0.661178i	$-0.229943\pi$
$390$	25.7819	+	23.4101i	1.30552	+	1.18541i
$391$	35.5195	−	25.8064i	1.79630	−	1.30509i
$392$	−7.40362	+	2.15757i	−0.373939	+	0.108974i
$393$	−40.7807	+	36.7191i	−2.05712	+	1.85223i
$394$	12.6737	−	8.36177i	0.638492	−	0.421260i
$395$		−	2.14037i		−	0.107694i
$396$	13.1875	+	22.6953i	0.662696	+	1.14048i
$397$	−24.4968	+	14.1433i	−1.22946	+	0.709830i	−0.966917	−	0.255090i	$-0.917895\pi$
$397$	−24.4968	+	14.1433i	−1.22946	+	0.709830i	−0.262544	+	0.964920i	$0.584562\pi$
$398$	26.3126	−	1.57052i	1.31893	−	0.0787229i
$399$	−0.522455	−	2.45796i	−0.0261555	−	0.123052i
$400$	−5.62974	−	3.84568i	−0.281487	−	0.192284i
$401$	−29.2710	+	3.07651i	−1.46172	+	0.153633i	−0.801752	−	0.597657i	$-0.796098\pi$
$401$	−29.2710	+	3.07651i	−1.46172	+	0.153633i	−0.659972	+	0.751290i	$0.729432\pi$
$402$	6.95656	−	26.7368i	0.346962	−	1.33351i
$403$	−8.87192	−	7.35392i	−0.441942	−	0.366325i
$404$	6.95100	−	12.4534i	0.345825	−	0.619581i
$405$	5.48966	+	12.3300i	0.272783	+	0.612681i
$406$	16.9661	−	2.81351i	0.842014	−	0.139632i
$407$	11.4931	+	2.58421i	0.569693	+	0.128095i
$408$	−48.6564	+	26.1410i	−2.40885	+	1.29417i
$409$	−0.494060	+	4.70067i	−0.0244297	+	0.232433i	0.975493	+	0.220029i	$0.0706152\pi$
$409$	−0.494060	+	4.70067i	−0.0244297	+	0.232433i	−0.999923	+	0.0124043i	$0.996052\pi$
$410$	15.9301	−	19.9666i	0.786733	−	0.986080i
$411$	−4.19985	−	12.9258i	−0.207163	−	0.637584i
$412$	−5.40611	−	3.80914i	−0.266340	−	0.187663i
$413$	−1.96452	+	0.206480i	−0.0966679	+	0.0101602i
$414$	−29.4590	+	15.2804i	−1.44783	+	0.750988i
$415$	−0.464855	+	1.43068i	−0.0228188	+	0.0702291i
$416$	−14.8135	+	14.0200i	−0.726293	+	0.687385i
$417$			43.5299i			2.13167i
$418$	−2.08541	−	0.568797i	−0.102001	−	0.0278208i
$419$	7.21017	+	4.16279i	0.352240	+	0.203366i	0.665671	−	0.746245i	$-0.268145\pi$
$419$	7.21017	+	4.16279i	0.352240	+	0.203366i	−0.313431	+	0.949611i	$0.601479\pi$
$420$	−8.33512	+	26.9789i	−0.406712	+	1.31644i
$421$	−32.0022	−	10.3982i	−1.55969	−	0.506775i	−0.602967	−	0.797766i	$-0.706015\pi$
$421$	−32.0022	−	10.3982i	−1.55969	−	0.506775i	−0.956726	+	0.290991i	$0.906015\pi$
$422$	−23.0893	−	1.04212i	−1.12397	−	0.0507296i
$423$	0.352388	+	0.156893i	0.0171337	+	0.00762842i
$424$	−12.8699	+	26.6788i	−0.625017	+	1.29564i
$425$	9.37797	+	8.44396i	0.454898	+	0.409592i
$426$	−14.5845	−	2.20160i	−0.706624	−	0.106668i
$427$	−9.03317	+	4.02183i	−0.437146	+	0.194630i
$428$	−3.83177	+	19.4079i	−0.185216	+	0.938115i
$429$	−19.2766	−	24.9656i	−0.930682	−	1.20535i
$430$	−29.3297	+	24.1052i	−1.41440	+	1.16246i
$431$	8.15639	+	18.3196i	0.392880	+	0.882422i	0.996376	+	0.0850565i	$0.0271071\pi$
$431$	8.15639	+	18.3196i	0.392880	+	0.882422i	−0.603496	+	0.797366i	$0.706226\pi$
$432$	9.50932	−	3.39790i	0.457518	−	0.163482i
$433$	−4.33727	+	4.81702i	−0.208436	+	0.231491i	−0.838294	−	0.545219i	$-0.816446\pi$
$433$	−4.33727	+	4.81702i	−0.208436	+	0.231491i	0.629858	+	0.776710i	$0.283113\pi$
$434$	2.35279	−	9.04269i	0.112938	−	0.434063i
$435$	−16.3408	+	36.7021i	−0.783484	+	1.75973i
$436$	−14.4372	−	19.2764i	−0.691414	−	0.923174i
$437$	0.844513	−	2.59914i	0.0403985	−	0.124334i
$438$	32.6530	+	49.4912i	1.56022	+	2.36478i
$439$	−10.9141	+	18.9037i	−0.520900	+	0.902226i	0.478804	+	0.877922i	$0.341070\pi$
$439$	−10.9141	+	18.9037i	−0.520900	+	0.902226i	−0.999705	+	0.0243040i	$0.992263\pi$
$440$	17.3470	+	17.0022i	0.826986	+	0.810548i
$441$	−10.7889			−0.513759
$442$	30.6341	−	22.0619i	1.45711	−	1.04938i
$443$	6.82312	+	2.21697i	0.324176	+	0.105331i	0.466584	−	0.884477i	$-0.345484\pi$
$443$	6.82312	+	2.21697i	0.324176	+	0.105331i	−0.142408	+	0.989808i	$0.545484\pi$
$444$	7.37176	−	17.2258i	0.349848	−	0.817498i
$445$	−0.454188	−	4.32131i	−0.0215306	−	0.204850i
$446$	4.33572	+	15.7239i	0.205302	+	0.744546i
$447$	13.2463	−	4.30400i	0.626530	−	0.203572i
$448$	−15.3867	−	6.06269i	−0.726953	−	0.286435i
$449$	8.25470	+	0.867604i	0.389563	+	0.0409447i	0.297286	−	0.954789i	$-0.403919\pi$
$449$	8.25470	+	0.867604i	0.389563	+	0.0409447i	0.0922775	+	0.995733i	$0.470585\pi$
$450$	−6.05644	−	7.36910i	−0.285503	−	0.347383i
$451$	−17.3730	+	15.2775i	−0.818062	+	0.719391i
$452$	−11.2159	−	9.80788i	−0.527551	−	0.461324i
$453$	−19.5736	+	8.71471i	−0.919646	+	0.409453i
$454$	0.966523	+	2.46428i	0.0453612	+	0.115654i
$455$	3.23692	−	19.0262i	0.151749	−	0.891961i
$456$	−1.49383	+	3.09664i	−0.0699548	+	0.145013i
$457$	1.36993	+	13.0340i	0.0640827	+	0.609706i	0.978687	+	0.205357i	$0.0658354\pi$
$457$	1.36993	+	13.0340i	0.0640827	+	0.609706i	−0.914604	+	0.404350i	$0.867498\pi$
$458$	−23.7107	+	12.2987i	−1.10793	+	0.574683i
$459$	−18.2824	+	3.88605i	−0.853351	+	0.181385i
$460$	−22.5211	+	20.8778i	−1.05005	+	0.973431i
$461$	4.63311	+	8.02478i	0.215785	+	0.373751i	0.953515	−	0.301345i	$-0.0974355\pi$
$461$	4.63311	+	8.02478i	0.215785	+	0.373751i	−0.737730	+	0.675096i	$0.764102\pi$
$462$	11.7128	−	22.7355i	0.544927	−	1.05775i
$463$	−6.33104			−0.294228			−0.147114	−	0.989120i	$-0.546998\pi$
$463$	−6.33104			−0.294228			−0.147114	+	0.989120i	$0.546998\pi$
$464$	−20.7105	−	11.1687i	−0.961463	−	0.518496i
$465$	14.6056	+	16.2212i	0.677321	+	0.752241i
$466$	−5.90800	+	3.06448i	−0.273683	+	0.141959i
$467$	−3.83075	−	5.27258i	−0.177266	−	0.243986i	0.711133	−	0.703057i	$-0.248182\pi$
$467$	−3.83075	−	5.27258i	−0.177266	−	0.243986i	−0.888399	+	0.459071i	$0.848182\pi$
$468$	−25.3851	+	13.0329i	−1.17343	+	0.602444i
$469$	−14.5614	+	4.73129i	−0.672383	+	0.218471i
$470$	0.352953	+	0.0532798i	0.0162805	+	0.00245761i
$471$	−7.68512	−	17.2611i	−0.354112	−	0.795348i
$472$	2.29816	+	1.42230i	0.105781	+	0.0654665i
$473$	29.9783	−	16.8423i	1.37841	−	0.774408i
$474$	2.88659	+	1.08409i	0.132586	+	0.0497941i
$475$	0.781204	+	0.0821078i	0.0358441	+	0.00376737i
$476$	26.7288	+	14.9189i	1.22511	+	0.683809i
$477$	−27.7295	+	30.7967i	−1.26965	+	1.41009i
$478$	8.28802	+	8.16860i	0.379085	+	0.373623i
$479$	−5.94286	+	0.624619i	−0.271536	+	0.0285396i	−0.239318	−	0.970941i	$-0.576924\pi$
$479$	−5.94286	+	0.624619i	−0.271536	+	0.0285396i	−0.0322182	+	0.999481i	$0.510257\pi$
$480$	31.6168	−	22.2031i	1.44310	−	1.01343i
$481$	−3.45576	+	12.3312i	−0.157569	+	0.562255i
$482$	−1.36649	−	22.8943i	−0.0622418	−	1.04281i
$483$	28.0028	+	16.1674i	1.27417	+	0.735643i
$484$	−12.7715	−	17.9134i	−0.580522	−	0.814244i
$485$	−21.4278	−	37.1140i	−0.972985	−	1.68526i
$486$	−30.1009	+	1.79663i	−1.36540	+	0.0814966i
$487$	−12.6926	+	2.69789i	−0.575156	+	0.122253i	−0.486301	−	0.873791i	$-0.661654\pi$
$487$	−12.6926	+	2.69789i	−0.575156	+	0.122253i	−0.0888551	+	0.996045i	$0.528321\pi$
$488$	13.1410	+	3.21625i	0.594865	+	0.145593i
$489$	−10.5354	−	14.5007i	−0.476426	−	0.655744i
$490$	−9.62462	+	2.65391i	−0.434796	+	0.119891i
$491$	−5.10089	−	1.08423i	−0.230200	−	0.0489305i	0.0913673	−	0.995817i	$-0.470876\pi$
$491$	−5.10089	−	1.08423i	−0.230200	−	0.0489305i	−0.321567	+	0.946887i	$0.604210\pi$
$492$	18.8592	+	31.5971i	0.850237	+	1.42451i
$493$	35.2346	+	25.5994i	1.58689	+	1.15294i
$494$	0.735494	−	2.23183i	0.0330914	−	0.100415i
$495$	16.6450	+	29.6272i	0.748136	+	1.33164i
$496$	−10.1202	+	7.81134i	−0.454410	+	0.350740i
$497$	3.32478	+	7.46758i	0.149137	+	0.334967i
$498$	−1.69402	−	1.35156i	−0.0759108	−	0.0605647i
$499$	−3.13790	−	9.65746i	−0.140472	−	0.432327i	0.855929	−	0.517093i	$-0.172986\pi$
$499$	−3.13790	−	9.65746i	−0.140472	−	0.432327i	−0.996401	+	0.0847657i	$0.972986\pi$
$500$	13.9510	+	9.82987i	0.623908	+	0.439605i
$501$	50.6992	+	22.5727i	2.26507	+	1.00848i
$502$	4.94634	+	3.16140i	0.220766	+	0.141100i
$503$	17.9615	−	3.81783i	0.800862	−	0.170229i	0.210740	−	0.977542i	$-0.432413\pi$
$503$	17.9615	−	3.81783i	0.800862	−	0.170229i	0.590123	+	0.807314i	$0.299079\pi$
$504$	−18.2940	−	14.1661i	−0.814879	−	0.631009i
$505$	9.23213	−	15.9905i	0.410824	−	0.711569i
$506$	23.3949	−	15.0444i	1.04003	−	0.668806i
$507$	28.1943	−	19.5150i	1.25215	−	0.866691i
$508$	11.9565	−	11.0841i	0.530486	−	0.491777i
$509$	−11.6846	+	10.5208i	−0.517910	+	0.466328i	−0.886147	−	0.463404i	$-0.846628\pi$
$509$	−11.6846	+	10.5208i	−0.517910	+	0.466328i	0.368237	+	0.929732i	$0.379961\pi$
$510$	−63.4775	+	32.9257i	−2.81083	+	1.45798i
$511$	13.3652	−	30.0188i	0.591244	−	1.32795i
$512$	11.5664	+	19.4478i	0.511169	+	0.859480i
$513$	−0.778494	+	0.864605i	−0.0343713	+	0.0381732i
$514$	22.0663	+	17.6053i	0.973301	+	0.776538i
$515$	−6.92671	−	5.03255i	−0.305228	−	0.221761i
$516$	−17.6538	−	51.7645i	−0.777166	−	2.27880i
$517$	−0.306285	−	0.103506i	−0.0134704	−	0.00455217i
$518$	−10.2440	+	1.69878i	−0.450095	+	0.0746400i
$519$	−4.57287	−	3.32238i	−0.200727	−	0.145836i
$520$	−19.4397	+	17.8707i	−0.852488	+	0.783682i
$521$	0.292796	+	0.901135i	0.0128276	+	0.0394794i	0.957265	−	0.289211i	$-0.0933928\pi$
$521$	0.292796	+	0.901135i	0.0128276	+	0.0394794i	−0.944438	+	0.328690i	$0.893393\pi$
$522$	−23.4462	−	23.1084i	−1.02621	−	1.01143i
$523$	2.59885	+	24.7264i	0.113640	+	1.08121i	0.891577	+	0.452869i	$0.149599\pi$
$523$	2.59885	+	24.7264i	0.113640	+	1.08121i	−0.777937	+	0.628342i	$0.783734\pi$
$524$	−24.9436	−	33.3046i	−1.08967	−	1.45492i
$525$	−2.87197	+	8.83900i	−0.125343	+	0.385766i
$526$	−27.5942	+	18.2059i	−1.20316	+	0.793815i
$527$	20.4923	−	11.8312i	0.892658	−	0.515377i
$528$	−31.7160	+	14.7833i	−1.38026	+	0.643361i
$529$	6.08306	+	10.5362i	0.264481	+	0.458095i
$530$	−17.1615	+	34.2942i	−0.745447	+	1.48965i
$531$	2.53011	+	2.80997i	0.109797	+	0.121942i
$532$	1.89187	−	0.226647i	0.0820229	−	0.00982638i
$533$	−15.6030	−	19.7252i	−0.675842	−	0.854392i
$534$	6.05794	+	1.57620i	0.262152	+	0.0682087i
$535$	−5.32491	+	25.0517i	−0.230216	+	1.08308i
$536$	19.7157	+	7.07972i	0.851587	+	0.305797i
$537$	4.87440	−	46.3768i	0.210346	−	2.00131i
$538$	9.01692	+	10.9712i	0.388747	+	0.473003i
$539$	9.00358	−	0.839658i	0.387812	−	0.0361666i
$540$	12.3738	−	4.21997i	0.532483	−	0.181599i
$541$	22.6840	+	16.4809i	0.975260	+	0.708568i	0.956644	−	0.291259i	$-0.0940741\pi$
$541$	22.6840	+	16.4809i	0.975260	+	0.708568i	0.0186157	+	0.999827i	$0.494074\pi$
$542$	−16.7905	+	21.0450i	−0.721216	+	0.903961i
$543$	1.00195	−	4.71382i	0.0429980	−	0.202290i
$544$	−16.4174	−	38.5296i	−0.703889	−	1.65194i
$545$	−18.3269	−	25.2248i	−0.785039	−	1.08051i
$546$	24.0200	+	14.0022i	1.02796	+	0.599237i
$547$	−3.58018	+	11.0187i	−0.153077	+	0.471123i	−0.997961	−	0.0638265i	$-0.979670\pi$
$547$	−3.58018	+	11.0187i	−0.153077	+	0.471123i	0.844884	+	0.534950i	$0.179670\pi$
$548$	10.0481	−	2.28868i	0.429233	−	0.0977676i
$549$	16.3918	+	9.46381i	0.699585	+	0.403905i
$550$	5.62772	+	5.67831i	0.239967	+	0.242124i
$551$	2.71098			0.115492
$552$	−16.7497	−	40.9474i	−0.712915	−	1.74284i
$553$	−0.355288	−	1.67150i	−0.0151084	−	0.0710793i
$554$	−27.7562	−	17.7401i	−1.17925	−	0.753703i
$555$	9.86647	−	22.1605i	0.418808	−	0.940659i
$556$	−32.8726	−	2.97342i	−1.39411	−	0.126101i
$557$	−27.5784	−	5.86196i	−1.16853	−	0.248379i	−0.417521	−	0.908667i	$-0.637101\pi$
$557$	−27.5784	−	5.86196i	−1.16853	−	0.248379i	−0.751012	+	0.660288i	$0.770434\pi$
$558$	−16.6509	+	6.53068i	−0.704887	+	0.276466i
$559$	16.5886	+	33.4986i	0.701623	+	1.41684i
$560$	−19.8044	−	8.13731i	−0.836887	−	0.343864i
$561$	61.8282	−	19.2904i	2.61039	−	0.814440i
$562$	12.3606	−	2.04978i	0.521401	−	0.0864646i
$563$	1.54584	−	14.7077i	0.0651494	−	0.619856i	−0.912422	−	0.409251i	$-0.865790\pi$
$563$	1.54584	−	14.7077i	0.0651494	−	0.619856i	0.977571	−	0.210605i	$-0.0675433\pi$
$564$	−0.250625	+	0.449020i	−0.0105532	+	0.0189071i
$565$	−14.3348	−	12.9071i	−0.603071	−	0.543008i
$566$	−8.71603	−	31.6094i	−0.366362	−	1.32864i
$567$	6.33377	+	8.71769i	0.265993	+	0.366109i
$568$	2.65882	−	10.8635i	0.111562	−	0.455820i
$569$	25.7869	−	23.2186i	1.08104	−	0.973374i	0.0813137	−	0.996689i	$-0.474088\pi$
$569$	25.7869	−	23.2186i	1.08104	−	0.973374i	0.999728	+	0.0233141i	$0.00742178\pi$
$570$	−1.99196	+	3.98058i	−0.0834338	+	0.166728i
$571$	−8.01751			−0.335522			−0.167761	−	0.985828i	$-0.553654\pi$
$571$	−8.01751			−0.335522			−0.167761	+	0.985828i	$0.553654\pi$
$572$	20.1701	−	12.8518i	0.843353	−	0.537360i
$573$	44.9019			1.87580
$574$	9.12612	−	18.2370i	0.380917	−	0.761196i
$575$	−7.51145	+	6.76334i	−0.313249	+	0.282051i
$576$	7.92333	+	30.6494i	0.330139	+	1.27706i
$577$	18.3973	+	25.3217i	0.765889	+	1.05416i	0.996701	+	0.0811575i	$0.0258617\pi$
$577$	18.3973	+	25.3217i	0.765889	+	1.05416i	−0.230812	+	0.972998i	$0.574138\pi$
$578$	14.2155	+	51.5535i	0.591285	+	2.14434i
$579$	32.8441	+	29.5730i	1.36496	+	1.22901i
$580$	−26.6002	−	14.8472i	−1.10451	−	0.616495i
$581$	−0.125540	+	1.19443i	−0.00520827	+	0.0495534i
$582$	60.9065	−	10.1002i	2.52466	−	0.418667i
$583$	20.7440	−	27.8585i	0.859130	−	1.15378i
$584$	−39.6048	+	21.2780i	−1.63886	+	0.880489i
$585$	−33.1062	+	16.3943i	−1.36877	+	0.677820i
$586$	18.3093	−	7.18114i	0.756350	−	0.296650i
$587$	1.29094	+	0.274397i	0.0532826	+	0.0113256i	0.234476	−	0.972122i	$-0.424663\pi$
$587$	1.29094	+	0.274397i	0.0532826	+	0.0113256i	−0.181193	+	0.983448i	$0.557996\pi$
$588$	1.29568	−	14.3243i	0.0534328	−	0.590726i
$589$	0.599084	−	1.34557i	0.0246848	−	0.0554431i
$590$	2.94827	+	1.88436i	0.121379	+	0.0775778i
$591$	5.88781	+	27.7000i	0.242192	+	1.13942i
$592$	12.5049	+	6.74359i	0.513946	+	0.277160i
$593$	−39.7791			−1.63353			−0.816766	−	0.576969i	$-0.804235\pi$
$593$	−39.7791			−1.63353			−0.816766	+	0.576969i	$0.804235\pi$
$594$	−11.7035	+	1.80002i	−0.480202	+	0.0738556i
$595$	34.3205	+	19.8149i	1.40700	+	0.812334i
$596$	2.34543	+	10.2973i	0.0960727	+	0.421792i
$597$	−15.1921	+	46.7566i	−0.621773	+	1.91362i
$598$	15.0093	+	26.2496i	0.613774	+	1.07343i
$599$	15.0107	+	20.6605i	0.613322	+	0.844165i	0.996846	−	0.0793661i	$-0.0252896\pi$
$599$	15.0107	+	20.6605i	0.613322	+	0.844165i	−0.383524	+	0.923531i	$0.625290\pi$
$600$	10.5112	−	7.15608i	0.429118	−	0.292146i
$601$	−1.64710	+	7.74901i	−0.0671867	+	0.316089i	−0.998889	−	0.0471355i	$-0.984991\pi$
$601$	−1.64710	+	7.74901i	−0.0671867	+	0.316089i	0.931702	+	0.363224i	$0.118324\pi$
$602$	−18.9034	+	23.6932i	−0.770444	+	0.965662i
$603$	23.7105	+	17.2267i	0.965566	+	0.701524i
$604$	−5.24409	−	15.3767i	−0.213379	−	0.625668i
$605$	−16.1963	−	23.4290i	−0.658473	−	0.952526i
$606$	16.8894	+	20.5500i	0.686085	+	0.834786i
$607$	1.02510	−	9.75313i	0.0416073	−	0.395867i	−0.953822	−	0.300371i	$-0.902890\pi$
$607$	1.02510	−	9.75313i	0.0416073	−	0.395867i	0.995430	−	0.0954963i	$-0.0304438\pi$
$608$	−2.23646	−	1.33962i	−0.0907003	−	0.0543287i
$609$	−6.66887	+	31.3745i	−0.270236	+	1.27136i
$610$	16.9508	+	4.41037i	0.686316	+	0.178571i
$611$	0.129699	−	0.326660i	0.00524704	−	0.0132152i
$612$	−6.96980	−	58.1785i	−0.281738	−	2.35172i
$613$	5.66766	+	6.29458i	0.228915	+	0.254236i	0.846649	−	0.532151i	$-0.178616\pi$
$613$	5.66766	+	6.29458i	0.228915	+	0.254236i	−0.617735	+	0.786387i	$0.711949\pi$
$614$	20.0387	−	40.0438i	0.808695	−	1.61604i
$615$	23.8198	+	41.2571i	0.960507	+	1.66365i
$616$	16.3692	+	10.3982i	0.659533	+	0.418954i
$617$	−13.7921	+	7.96289i	−0.555250	+	0.320574i	−0.751237	−	0.660033i	$-0.770542\pi$
$617$	−13.7921	+	7.96289i	−0.555250	+	0.320574i	0.195987	+	0.980607i	$0.437209\pi$
$618$	10.2955	−	6.79267i	0.414144	−	0.273241i
$619$	11.6414	−	35.8285i	0.467906	−	1.44007i	−0.387384	−	0.921918i	$-0.626621\pi$
$619$	11.6414	−	35.8285i	0.467906	−	1.44007i	0.855290	−	0.518149i	$-0.173379\pi$
$620$	−13.2475	+	9.92174i	−0.532032	+	0.398467i
$621$	−1.56487	−	14.8888i	−0.0627962	−	0.597466i
$622$	−25.8740	−	25.5012i	−1.03745	−	1.02250i
$623$	−1.07200	−	3.29928i	−0.0429488	−	0.132183i
$624$	−14.2550	−	35.2686i	−0.570656	−	1.41188i
$625$	24.7698	+	17.9963i	0.990791	+	0.719852i
$626$	−31.5499	+	5.23195i	−1.26099	+	0.209111i
$627$	2.40779	−	3.23358i	0.0961577	−	0.129137i
$628$	13.5600	−	4.62453i	0.541104	−	0.184539i
$629$	−21.2743	−	15.4567i	−0.848264	−	0.616300i
$630$	−23.4156	−	18.6819i	−0.932902	−	0.744306i
$631$	−4.96395	+	5.51303i	−0.197612	+	0.219470i	−0.833804	−	0.552060i	$-0.813842\pi$
$631$	−4.96395	+	5.51303i	−0.197612	+	0.219470i	0.636192	+	0.771530i	$0.280508\pi$
$632$	−1.01585	+	2.10582i	−0.0404085	+	0.0837651i
$633$	17.5334	−	39.3807i	0.696891	−	1.56524i
$634$	12.6185	−	6.54521i	0.501145	−	0.259944i
$635$	15.6861	−	14.1239i	0.622485	−	0.560488i
$636$	−37.5583	−	40.5146i	−1.48928	−	1.60651i
$637$	0.402179	+	9.82216i	0.0159349	+	0.389168i
$638$	21.3647	+	17.4597i	0.845838	+	0.691235i
$639$	7.82358	−	13.5508i	0.309496	−	0.536063i
$640$	14.6075	+	25.3928i	0.577413	+	1.00374i
$641$	43.9612	−	9.34424i	1.73636	−	0.369075i	0.772405	−	0.635130i	$-0.219054\pi$
$641$	43.9612	−	9.34424i	1.73636	−	0.369075i	0.963958	+	0.266055i	$0.0857202\pi$
$642$	−31.0887	−	19.8700i	−1.22697	−	0.784208i
$643$	−29.3689	−	13.0759i	−1.15819	−	0.515661i	−0.264521	−	0.964380i	$-0.585214\pi$
$643$	−29.3689	−	13.0759i	−1.15819	−	0.515661i	−0.893673	+	0.448718i	$0.851881\pi$
$644$	−14.1220	+	20.0426i	−0.556484	+	0.789788i
$645$	−21.8806	−	67.3414i	−0.861546	−	2.65157i
$646$	3.77189	+	3.00937i	0.148403	+	0.118402i
$647$	0.784782	+	1.76265i	0.0308530	+	0.0692969i	0.928315	−	0.371796i	$-0.121258\pi$
$647$	0.784782	+	1.76265i	0.0308530	+	0.0692969i	−0.897462	+	0.441092i	$0.854591\pi$
$648$	0.450946	−	14.7364i	0.0177148	−	0.578901i
$649$	−2.33012	−	2.14807i	−0.0914650	−	0.0843191i
$650$	−6.48300	+	5.78843i	−0.254284	+	0.227041i
$651$	14.0987	+	10.2433i	0.552572	+	0.401467i
$652$	11.6702	−	6.96551i	0.457038	−	0.272790i
$653$	3.34441	+	0.710876i	0.130877	+	0.0278187i	0.272884	−	0.962047i	$-0.412022\pi$
$653$	3.34441	+	0.710876i	0.130877	+	0.0278187i	−0.142007	+	0.989866i	$0.545356\pi$
$654$	43.3018	−	11.9401i	1.69323	−	0.466895i
$655$	−31.6641	−	43.5819i	−1.23722	−	1.70289i
$656$	−25.1494	+	12.0836i	−0.981920	+	0.471785i
$657$	−61.5253	+	13.0776i	−2.40033	+	0.510206i
$658$	0.284478	−	0.0169796i	0.0110901	−	0.000661933i
$659$	−5.75851	−	9.97403i	−0.224320	−	0.388533i	0.731796	−	0.681524i	$-0.238683\pi$
$659$	−5.75851	−	9.97403i	−0.224320	−	0.388533i	−0.956115	+	0.292991i	$0.905349\pi$
$660$	−41.3346	+	18.5413i	−1.60895	+	0.721719i
$661$	10.2029	+	5.89067i	0.396848	+	0.229120i	0.685123	−	0.728427i	$-0.259748\pi$
$661$	10.2029	+	5.89067i	0.396848	+	0.229120i	−0.288275	+	0.957548i	$0.593082\pi$
$662$	1.92336	+	32.2242i	0.0747535	+	1.25243i
$663$	17.4444	+	68.2147i	0.677485	+	2.64924i
$664$	1.13637	−	1.18695i	0.0440997	−	0.0460628i
$665$	2.45331	−	0.257853i	0.0951352	−	0.00999911i
$666$	14.1566	+	13.9527i	0.548558	+	0.540654i
$667$	−23.3420	+	25.9239i	−0.903805	+	1.00378i
$668$	−20.5094	+	36.7447i	−0.793533	+	1.42170i
$669$	−30.2542	−	3.17985i	−1.16970	−	0.122940i
$670$	25.3892	+	9.53520i	0.980870	+	0.368377i
$671$	−14.4158	−	6.62202i	−0.556516	−	0.255640i
$672$	21.0052	−	22.5874i	0.810292	−	0.871329i
$673$	1.76264	+	3.95894i	0.0679446	+	0.152606i	0.944326	−	0.329012i	$-0.106716\pi$
$673$	1.76264	+	3.95894i	0.0679446	+	0.152606i	−0.876381	+	0.481618i	$0.840049\pi$
$674$	−20.0945	−	3.03336i	−0.774013	−	0.116841i
$675$	4.09239	−	1.32970i	0.157516	−	0.0511801i
$676$	12.8113	+	22.6246i	0.492742	+	0.870176i
$677$	13.2133	+	18.1865i	0.507827	+	0.698964i	0.983551	−	0.180630i	$-0.0578138\pi$
$677$	13.2133	+	18.1865i	0.507827	+	0.698964i	−0.475724	+	0.879595i	$0.657814\pi$
$678$	24.6677	−	12.7951i	0.947356	−	0.491393i
$679$	−22.8944	−	25.4268i	−0.878607	−	0.975792i
$680$	−20.5286	−	50.1855i	−0.787236	−	1.92453i
$681$	−4.93698			−0.189185
$682$	13.3872	−	6.74584i	0.512622	−	0.258312i
$683$	−3.14706	−	5.45087i	−0.120419	−	0.208572i	0.799514	−	0.600648i	$-0.205090\pi$
$683$	−3.14706	−	5.45087i	−0.120419	−	0.208572i	−0.919933	+	0.392076i	$0.871757\pi$
$684$	−2.47960	−	2.67477i	−0.0948097	−	0.102272i
$685$	13.0504	−	2.77395i	0.498630	−	0.105987i
$686$	−25.2420	+	13.0930i	−0.963746	+	0.499894i
$687$	−5.20737	−	49.5448i	−0.198674	−	1.89025i
$688$	40.2969	−	9.79577i	1.53631	−	0.373460i
$689$	29.0708	+	24.0967i	1.10751	+	0.918011i
$690$	−20.9134	−	53.3216i	−0.796160	−	2.02992i
$691$	16.0275	−	7.13589i	0.609714	−	0.271462i	−0.0785641	−	0.996909i	$-0.525034\pi$
$691$	16.0275	−	7.13589i	0.609714	−	0.271462i	0.688278	+	0.725447i	$0.258367\pi$
$692$	2.82133	−	3.22636i	0.107251	−	0.122648i
$693$	17.9166	+	20.3740i	0.680595	+	0.773945i
$694$	7.46378	+	9.08146i	0.283321	+	0.344728i
$695$	−42.4981	−	4.46673i	−1.61205	−	0.169433i
$696$	33.4964	−	28.3541i	1.26968	−	1.07476i
$697$	49.1162	−	15.9588i	1.86041	−	0.604483i
$698$	3.46659	+	12.5719i	0.131212	+	0.475853i
$699$	−1.29752	−	12.3451i	−0.0490767	−	0.466934i
$700$	−6.47879	−	2.77260i	−0.244875	−	0.104794i
$701$	3.51339	+	1.14157i	0.132699	+	0.0431165i	0.374614	−	0.927181i	$-0.377775\pi$
$701$	3.51339	+	1.14157i	0.132699	+	0.0431165i	−0.241915	+	0.970298i	$0.577775\pi$
$702$	−1.29203	−	12.8077i	−0.0487646	−	0.483395i
$703$	−1.63687			−0.0617356
$704$	−8.99749	−	24.9609i	−0.339106	−	0.940748i
$705$	−0.332873	+	0.576553i	−0.0125367	+	0.0217143i
$706$	−11.5733	−	17.5413i	−0.435567	−	0.660177i
$707$	4.55540	−	14.0201i	0.171323	−	0.527279i
$708$	−4.03462	+	3.02174i	−0.151630	+	0.113564i
$709$	−5.01938	+	11.2737i	−0.188507	+	0.423394i	−0.982932	−	0.183968i	$-0.941106\pi$
$709$	−5.01938	+	11.2737i	−0.188507	+	0.423394i	0.794425	+	0.607362i	$0.207772\pi$
$710$	3.64598	−	14.0129i	0.136831	−	0.525896i
$711$	−2.18876	+	2.43086i	−0.0820849	+	0.0911645i
$712$	−1.60410	+	4.46712i	−0.0601162	+	0.167412i
$713$	7.70883	+	17.3143i	0.288698	+	0.648426i
$714$	−44.1065	+	36.2498i	−1.65064	+	1.35661i
$715$	26.3519	−	16.2579i	0.985504	−	0.608009i
$716$	34.6895	+	6.84889i	1.29641	+	0.255955i
$717$	−19.8275	+	8.82776i	−0.740470	+	0.329679i
$718$	−38.0947	−	5.75057i	−1.42168	−	0.214610i
$719$	26.4540	+	23.8193i	0.986569	+	0.888310i	0.993746	−	0.111664i	$-0.0356180\pi$
$719$	26.4540	+	23.8193i	0.986569	+	0.888310i	−0.00717744	+	0.999974i	$0.502285\pi$
$720$	9.68102	+	39.8249i	0.360790	+	1.48419i
$721$	−6.24470	−	2.78032i	−0.232565	−	0.103545i
$722$	−26.5427	−	1.19798i	−0.987816	−	0.0445844i
$723$	40.6823	+	13.2185i	1.51299	+	0.491601i
$724$	3.49131	+	1.07864i	0.129753	+	0.0400872i
$725$	−8.68327	−	5.01329i	−0.322489	−	0.186189i
$726$	39.8007	−	9.97624i	1.47714	−	0.370253i
$727$			26.2692i			0.974269i	0.873327	+	0.487135i	$0.161958\pi$
$727$			26.2692i			0.974269i	−0.873327	+	0.487135i	$0.838042\pi$
$728$	−12.2148	+	17.1828i	−0.452710	+	0.636836i
$729$	12.5471	−	38.6159i	0.464706	−	1.43022i
$730$	−51.6687	+	26.8005i	−1.91234	+	0.991932i
$731$	−76.3379	+	8.02344i	−2.82346	+	0.296758i
$732$	−14.5335	+	20.6266i	−0.537174	+	0.762383i
$733$	5.13929	+	15.8171i	0.189824	+	0.584218i	0.999998	−	0.00197134i	$-0.000627499\pi$
$733$	5.13929	+	15.8171i	0.189824	+	0.584218i	−0.810174	+	0.586189i	$0.800627\pi$
$734$	20.0137	−	25.0848i	0.738718	−	0.925898i
$735$	1.94639	−	18.5187i	0.0717938	−	0.683073i
$736$	32.0664	−	9.85191i	1.18198	−	0.363146i
$737$	−21.1275	−	12.5307i	−0.778243	−	0.461575i
$738$	−38.5101	+	6.38619i	−1.41758	+	0.235079i
$739$	1.64062	+	3.68489i	0.0603512	+	0.135551i	0.941203	−	0.337840i	$-0.109696\pi$
$739$	1.64062	+	3.68489i	0.0603512	+	0.135551i	−0.880852	+	0.473391i	$0.843030\pi$
$740$	16.0610	+	8.96460i	0.590414	+	0.329545i
$741$	3.37428	+	2.79694i	0.123957	+	0.102748i
$742$	−7.70942	+	29.6303i	−0.283022	+	1.08776i
$743$	−50.2711	+	5.28371i	−1.84427	+	0.193840i	−0.961283	−	0.275562i	$-0.911136\pi$
$743$	−50.2711	+	5.28371i	−1.84427	+	0.193840i	−0.882985	+	0.469402i	$0.844470\pi$
$744$	−6.67105	−	22.8914i	−0.244572	−	0.839240i
$745$	2.84273	+	13.3740i	0.104150	+	0.489985i
$746$	−27.5479	+	1.64424i	−1.00860	+	0.0602001i
$747$	1.99096	−	1.14948i	0.0728455	−	0.0420574i
$748$	10.3442	+	48.0086i	0.378222	+	1.75537i
$749$			20.4477i			0.747144i
$750$	−26.5685	+	17.5292i	−0.970143	+	0.640074i
$751$	21.2242	−	19.1104i	0.774482	−	0.697347i	−0.183866	−	0.982951i	$-0.558861\pi$
$751$	21.2242	−	19.1104i	0.774482	−	0.697347i	0.958348	+	0.285605i	$0.0921944\pi$
$752$	−0.321968	−	0.219936i	−0.0117409	−	0.00802025i
$753$	−8.85768	+	6.43548i	−0.322792	+	0.234522i
$754$	−20.1637	+	22.2066i	−0.734318	+	0.808718i
$755$	−6.49964	−	20.0038i	−0.236546	−	0.728014i
$756$	8.96266	−	5.34950i	0.325969	−	0.194559i
$757$	2.96452	−	1.31989i	0.107747	−	0.0479722i	−0.352155	−	0.935942i	$-0.614551\pi$
$757$	2.96452	−	1.31989i	0.107747	−	0.0479722i	0.459902	+	0.887969i	$0.347884\pi$
$758$	4.62740	−	12.3213i	0.168075	−	0.447529i
$759$	10.1898	+	50.8662i	0.369867	+	1.84633i
$760$	−2.86995	−	1.77617i	−0.104104	−	0.0644285i
$761$	1.36895	−	13.0247i	0.0496245	−	0.472146i	−0.941285	−	0.337614i	$-0.890380\pi$
$761$	1.36895	−	13.0247i	0.0496245	−	0.472146i	0.990909	−	0.134532i	$-0.0429531\pi$
$762$	11.1030	+	28.3087i	0.402220	+	1.02551i
$763$	−18.4993	−	16.6569i	−0.669721	−	0.603019i
$764$	−3.06713	+	33.9086i	−0.110965	+	1.22677i
$765$	−7.92945	−	75.4437i	−0.286690	−	2.72767i
$766$	−18.1583	+	28.4106i	−0.656087	+	1.02652i
$767$	2.46386	−	2.40814i	0.0889649	−	0.0869529i
$768$	−41.6444	+	6.83893i	−1.50271	+	0.246779i
$769$	16.2844	−	28.2055i	0.587231	−	1.01711i	−0.407362	−	0.913267i	$-0.633551\pi$
$769$	16.2844	−	28.2055i	0.587231	−	1.01711i	0.994593	−	0.103848i	$-0.0331155\pi$
$770$	20.9947	+	13.7681i	0.756598	+	0.496167i
$771$	−45.5957	+	26.3247i	−1.64209	+	0.948060i
$772$	−24.5762	+	22.7829i	−0.884516	+	0.819975i
$773$	−1.37758	−	6.48102i	−0.0495483	−	0.233106i	0.946405	−	0.322984i	$-0.104686\pi$
$773$	−1.37758	−	6.48102i	−0.0495483	−	0.233106i	−0.995953	+	0.0898773i	$0.971353\pi$
$774$	57.9604	+	2.61600i	2.08335	+	0.0940303i
$775$	−4.40716	+	3.20199i	−0.158310	+	0.115019i
$776$	3.46703	+	46.6848i	0.124459	+	1.67589i
$777$	4.02661	−	18.9437i	0.144454	−	0.679601i
$778$	−3.30557	+	21.8978i	−0.118511	+	0.785074i
$779$	1.88952	−	2.60070i	0.0676991	−	0.0931798i
$780$	−17.7906	−	45.9235i	−0.637007	−	1.64433i
$781$	−5.47432	+	11.9173i	−0.195887	+	0.426435i
$782$	−61.2538	+	10.1578i	−2.19043	+	0.363242i
$783$	13.5668	−	6.04032i	0.484838	−	0.215864i
$784$	10.7288	+	1.95692i	0.383173	+	0.0698899i
$785$	17.6405	−	5.73175i	0.629617	−	0.204575i
$786$	74.8141	−	20.6294i	2.66853	−	0.735825i
$787$	3.95795	−	8.88970i	0.141086	−	0.316884i	−0.829158	−	0.559014i	$-0.811180\pi$
$787$	3.95795	−	8.88970i	0.141086	−	0.316884i	0.970244	+	0.242131i	$0.0778463\pi$
$788$	−21.3204	+	2.55420i	−0.759508	+	0.0909894i
$789$	−12.8194	−	60.3106i	−0.456383	−	2.14711i
$790$	−1.35460	+	2.70693i	−0.0481945	+	0.0963082i
$791$	−13.3371	−	7.70018i	−0.474213	−	0.273787i
$792$	−2.31478	−	37.0489i	−0.0822522	−	1.31647i
$793$	8.00474	−	15.2757i	0.284257	−	0.542457i
$794$	39.9321	−	2.38342i	1.41714	−	0.0845844i
$795$	−47.8585	−	53.1523i	−1.69737	−	1.88512i
$796$	−34.2715	−	14.6665i	−1.21472	−	0.519840i
$797$	1.51838	+	0.676027i	0.0537838	+	0.0239461i	0.433452	−	0.901177i	$-0.357295\pi$
$797$	1.51838	+	0.676027i	0.0537838	+	0.0239461i	−0.379668	+	0.925123i	$0.623962\pi$
$798$	−0.894843	+	3.43923i	−0.0316771	+	0.121747i
$799$	0.536330	+	0.482914i	0.0189740	+	0.0170843i
$800$	4.68608	+	8.42658i	0.165678	+	0.297924i
$801$	−3.90317	+	5.37225i	−0.137912	+	0.189819i
$802$	38.9661	+	14.6342i	1.37594	+	0.516750i
$803$	50.3263	−	15.7018i	1.77598	−	0.554103i
$804$	−25.7191	+	29.4113i	−0.907043	+	1.03726i
$805$	−18.6576	+	25.6800i	−0.657596	+	0.905103i
$806$	6.56617	+	14.9154i	0.231283	+	0.525371i
$807$	−25.1901	+	8.18476i	−0.886734	+	0.288117i
$808$	−16.6724	+	11.3507i	−0.586534	+	0.399316i
$809$	16.0424	−	1.68612i	0.564020	−	0.0592809i	0.181772	−	0.983341i	$-0.441817\pi$
$809$	16.0424	−	1.68612i	0.564020	−	0.0592809i	0.382248	+	0.924060i	$0.375150\pi$
$810$	0.860620	−	19.0680i	0.0302391	−	0.669981i
$811$	19.0851	+	6.20112i	0.670168	+	0.217751i	0.624286	−	0.781196i	$-0.285390\pi$
$811$	19.0851	+	6.20112i	0.670168	+	0.217751i	0.0458823	+	0.998947i	$0.485390\pi$
$812$	−23.2376	−	7.17925i	−0.815481	−	0.251942i
$813$	−25.1063	−	43.4855i	−0.880518	−	1.52510i
$814$	−12.8999	−	10.5420i	−0.452140	−	0.369497i
$815$	15.2380	−	8.79768i	0.533765	−	0.308169i
$816$	78.0798	−	2.26689i	2.73334	−	0.0793571i
$817$	−3.55070	+	3.19707i	−0.124223	+	0.111851i
$818$	3.59979	−	5.63225i	0.125864	−	0.196927i
$819$	−23.1325	+	18.2983i	−0.808316	+	0.639395i
$820$	−32.7833	+	15.1699i	−1.14484	+	0.529755i
$821$	34.5117	+	7.33569i	1.20447	+	0.256017i	0.766066	−	0.642762i	$-0.222212\pi$
$821$	34.5117	+	7.33569i	1.20447	+	0.256017i	0.438401	+	0.898780i	$0.355545\pi$
$822$	−2.86893	+	19.0053i	−0.100066	+	0.662885i
$823$	31.7058	+	3.33242i	1.10520	+	0.116161i	0.639505	−	0.768787i	$-0.279139\pi$
$823$	31.7058	+	3.33242i	1.10520	+	0.116161i	0.465691	+	0.884948i	$0.345806\pi$
$824$	4.42638	+	8.23883i	0.154200	+	0.287013i
$825$	−13.6919	+	5.90455i	−0.476689	+	0.205570i
$826$	2.61521	+	0.982172i	0.0909947	+	0.0341741i
$827$	3.13233	−	4.31128i	0.108922	−	0.149918i	−0.751076	−	0.660216i	$-0.770465\pi$
$827$	3.13233	−	4.31128i	0.108922	−	0.149918i	0.859998	+	0.510298i	$0.170465\pi$
$828$	46.9274	−	0.681077i	1.63084	−	0.0236691i
$829$	13.3392	+	2.83533i	0.463289	+	0.0984752i	0.433642	−	0.901085i	$-0.357228\pi$
$829$	13.3392	+	2.83533i	0.463289	+	0.0984752i	0.0296473	+	0.999560i	$0.490562\pi$
$830$	1.49335	−	1.51518i	0.0518348	−	0.0525926i
$831$	49.7044	−	36.1124i	1.72423	−	1.25273i
$832$	27.6076	−	8.35585i	0.957121	−	0.289687i
$833$	−19.1979	−	6.23776i	−0.665166	−	0.216126i
$834$	27.5492	−	55.0523i	0.953951	−	1.90630i
$835$	−27.2401	+	47.1812i	−0.942681	+	1.63277i
$836$	2.27744	+	2.03917i	0.0787668	+	0.0705262i
$837$		−	8.06855i		−	0.278890i
$838$	−6.48415	−	9.82785i	−0.223991	−	0.339497i
$839$	−27.0944	+	5.75909i	−0.935402	+	0.198826i	−0.650305	−	0.759673i	$-0.725359\pi$
$839$	−27.0944	+	5.75909i	−0.935402	+	0.198826i	−0.285096	+	0.958499i	$0.592026\pi$
$840$	27.6158	−	28.8451i	0.952836	−	0.995250i
$841$	−5.11969	−	2.27943i	−0.176541	−	0.0786012i
$842$	33.8924	+	33.4041i	1.16801	+	1.15118i
$843$	−4.85858	+	22.8578i	−0.167338	+	0.787266i
$844$	28.5415	+	15.9307i	0.982440	+	0.548359i
$845$	16.1593	+	29.5285i	0.555897	+	1.01581i
$846$	−0.346371	−	0.421442i	−0.0119085	−	0.0144895i
$847$	−16.5374	−	15.6081i	−0.568231	−	0.536302i
$848$	33.1610	−	25.5955i	1.13875	−	0.878954i
$849$	60.8196	+	6.39240i	2.08732	+	0.219387i
$850$	−6.51630	−	16.6142i	−0.223507	−	0.569862i
$851$	14.0937	−	15.6526i	0.483126	−	0.536565i
$852$	17.0517	+	12.0146i	0.584182	+	0.411614i
$853$	8.28461	−	6.01912i	0.283660	−	0.206091i	−0.436852	−	0.899533i	$-0.643907\pi$
$853$	8.28461	−	6.01912i	0.283660	−	0.206091i	0.720512	+	0.693442i	$0.243907\pi$
$854$	13.9696	+	0.630507i	0.478029	+	0.0215755i
$855$	−3.15962	−	3.50911i	−0.108057	−	0.120009i
$856$	17.1289	−	22.1201i	0.585453	−	0.756048i
$857$		−	53.9557i		−	1.84309i	−0.388269	−	0.921546i	$-0.626927\pi$
$857$		−	53.9557i		−	1.84309i	0.388269	−	0.921546i	$-0.373073\pi$
$858$	8.57884	+	43.7737i	0.292877	+	1.49441i
$859$			18.0327i			0.615269i	0.951505	+	0.307634i	$0.0995374\pi$
$859$			18.0327i			0.615269i	−0.951505	+	0.307634i	$0.900463\pi$
$860$	52.3489	−	11.9237i	1.78508	−	0.406593i
$861$	25.4502	+	28.2653i	0.867340	+	0.963278i
$862$	1.27869	−	28.3307i	0.0435523	−	0.964949i
$863$	8.26658	−	6.00602i	0.281398	−	0.204447i	−0.438129	−	0.898912i	$-0.644359\pi$
$863$	8.26658	−	6.00602i	0.281398	−	0.204447i	0.719527	+	0.694465i	$0.244359\pi$
$864$	−14.1769	−	1.72093i	−0.482308	−	0.0585472i
$865$	3.71286	−	4.12355i	0.126241	−	0.140205i
$866$	8.53393	−	3.34712i	0.289995	−	0.113740i
$867$	−99.1940	−	10.4257i	−3.36881	−	0.354076i
$868$	−8.69851	+	9.94725i	−0.295247	+	0.337632i
$869$	1.63738	−	2.19894i	0.0555443	−	0.0745941i
$870$	43.8943	−	36.0754i	1.48816	−	1.22307i
$871$	14.7992	−	22.2280i	0.501451	−	0.753167i
$872$	6.05900	+	33.5159i	0.205184	+	1.13499i
$873$	−13.6171	+	64.0632i	−0.460868	+	2.16821i
$874$	−2.71300	+	2.75266i	−0.0917686	+	0.0931101i
$875$	16.1151	+	7.17489i	0.544788	+	0.242555i
$876$	−9.97421	−	83.2569i	−0.336997	−	2.81299i
$877$	46.2627	−	9.83344i	1.56218	−	0.332052i	0.655940	−	0.754813i	$-0.272273\pi$
$877$	46.2627	−	9.83344i	1.56218	−	0.332052i	0.906241	+	0.422762i	$0.138939\pi$
$878$	25.7668	−	17.0002i	0.869587	−	0.573730i
$879$			36.6811i			1.23722i
$880$	−11.1784	−	32.4812i	−0.376824	−	1.09494i
$881$	20.0929	−	34.8019i	0.676947	−	1.17251i	−0.298949	−	0.954269i	$-0.596636\pi$
$881$	20.0929	−	34.8019i	0.676947	−	1.17251i	0.975896	−	0.218238i	$-0.0700308\pi$
$882$	13.6448	+	6.82810i	0.459443	+	0.229914i
$883$	−49.6331	−	16.1268i	−1.67029	−	0.542709i	−0.687298	−	0.726376i	$-0.741203\pi$
$883$	−49.6331	−	16.1268i	−1.67029	−	0.542709i	−0.982989	+	0.183667i	$0.941203\pi$
$884$	−52.7054	+	8.51397i	−1.77267	+	0.286356i
$885$	−5.27963	+	3.83588i	−0.177473	+	0.128942i
$886$	−7.22613	−	7.12201i	−0.242766	−	0.239269i
$887$	2.14210	+	0.455317i	0.0719247	+	0.0152881i	0.243733	−	0.969842i	$-0.421628\pi$
$887$	2.14210	+	0.455317i	0.0719247	+	0.0152881i	−0.171809	+	0.985130i	$0.554961\pi$
$888$	−20.2249	+	17.1200i	−0.678703	+	0.574508i
$889$	9.90542	−	13.6336i	0.332217	−	0.457258i
$890$	−2.16046	+	5.75260i	−0.0724187	+	0.192828i
$891$	−3.79250	+	16.8669i	−0.127054	+	0.565064i
$892$	4.46792	−	22.6299i	0.149597	−	0.757706i
$893$	0.0446774	+	0.00469578i	0.00149507	+	0.000157138i
$894$	−19.4765	−	2.94007i	−0.651393	−	0.0983308i
$895$	44.7774	+	9.51772i	1.49674	+	0.318142i
$896$	15.6226	+	17.4054i	0.521914	+	0.581473i
$897$	−55.7990	+	8.18468i	−1.86307	+	0.273279i
$898$	−9.89062	−	6.32148i	−0.330054	−	0.210951i
$899$	−13.9718	+	12.5802i	−0.465984	+	0.419574i
$900$	2.99582	+	13.1527i	0.0998608	+	0.438423i
$901$	−67.1474	+	38.7676i	−2.23700	+	1.29154i
$902$	31.6404	−	8.32648i	1.05351	−	0.277241i
$903$	−28.2656	−	48.9574i	−0.940619	−	1.62920i
$904$	7.97752	+	19.5023i	0.265328	+	0.648637i
$905$	4.49928	+	1.46190i	0.149561	+	0.0485953i
$906$	30.2700	+	1.36622i	1.00565	+	0.0453895i
$907$	42.5033	−	4.46728i	1.41130	−	0.148334i	0.631992	−	0.774975i	$-0.282238\pi$
$907$	42.5033	−	4.46728i	1.41130	−	0.148334i	0.779308	+	0.626641i	$0.215571\pi$
$908$	0.337232	−	3.72827i	0.0111914	−	0.123727i
$909$	−26.8371	+	8.71991i	−0.890131	+	0.289221i
$910$	−16.1350	+	22.0138i	−0.534870	+	0.729751i
$911$	−29.6889	+	40.8633i	−0.983638	+	1.35386i	−0.0487923	+	0.998809i	$0.515537\pi$
$911$	−29.6889	+	40.8633i	−0.983638	+	1.35386i	−0.934846	+	0.355053i	$0.884463\pi$
$912$	3.84904	−	2.97091i	0.127454	−	0.0983766i
$913$	−1.57204	+	1.11421i	−0.0520269	+	0.0368751i
$914$	6.51642	−	17.3511i	0.215544	−	0.573924i
$915$	−19.2014	+	26.4284i	−0.634777	+	0.873696i
$916$	37.7706	−	0.548181i	1.24797	−	0.0181124i
$917$	−31.9620	−	28.7787i	−1.05548	−	0.950357i
$918$	25.5812	+	6.65589i	0.844305	+	0.219677i
$919$	−47.6039	−	21.1946i	−1.57031	−	0.699146i	−0.577227	−	0.816584i	$-0.695865\pi$
$919$	−47.6039	−	21.1946i	−1.57031	−	0.699146i	−0.993080	+	0.117438i	$0.962532\pi$
$920$	41.6955	−	12.1510i	1.37466	−	0.400605i
$921$	55.8822	+	62.0635i	1.84138	+	2.04506i
$922$	−0.780771	−	13.0811i	−0.0257133	−	0.430804i
$923$	−12.6282	−	6.61739i	−0.415662	−	0.217814i
$924$	−29.2020	+	21.3409i	−0.960675	+	0.702063i
$925$	5.24289	+	3.02698i	0.172385	+	0.0995266i
$926$	8.00686	+	4.00678i	0.263122	+	0.131671i
$927$	2.72048	+	12.7989i	0.0893524	+	0.420370i
$928$	19.1241	+	27.2324i	0.627781	+	0.893946i
$929$	20.1475	−	45.2519i	0.661017	−	1.48467i	−0.201944	−	0.979397i	$-0.564726\pi$
$929$	20.1475	−	45.2519i	0.661017	−	1.48467i	0.862961	−	0.505271i	$-0.168607\pi$
$930$	−8.20568	−	29.7586i	−0.269075	−	0.975822i
$931$	−1.19500	+	0.388279i	−0.0391645	+	0.0127253i
$932$	9.41129	−	0.136590i	0.308277	−	0.00447416i
$933$	61.8985	−	27.5590i	2.02646	−	0.902240i
$934$	1.50784	+	9.09263i	0.0493381	+	0.297520i
$935$	12.4887	+	62.3421i	0.408426	+	2.03881i
$936$	40.3527	−	0.416936i	1.31897	−	0.0136280i
$937$	−20.4300	+	28.1195i	−0.667419	+	0.918624i	−0.999698	−	0.0245571i	$-0.992182\pi$
$937$	−20.4300	+	28.1195i	−0.667419	+	0.918624i	0.332279	+	0.943181i	$0.392182\pi$
$938$	21.4101	+	3.23196i	0.699066	+	0.105527i
$939$	12.4013	−	58.3435i	0.404701	−	1.90397i
$940$	−0.412659	−	0.290759i	−0.0134595	−	0.00948352i
$941$	−1.30376	+	0.947237i	−0.0425014	+	0.0308790i	−0.608833	−	0.793298i	$-0.708362\pi$
$941$	−1.30376	+	0.947237i	−0.0425014	+	0.0308790i	0.566332	+	0.824177i	$0.308362\pi$
$942$	−1.20481	+	26.6938i	−0.0392547	+	0.869731i
$943$	8.60028	+	40.4611i	0.280064	+	1.31760i
$944$	−2.00634	−	3.25323i	−0.0653007	−	0.105884i
$945$	11.7028	−	6.75660i	0.380692	−	0.219792i
$946$	−48.5727	+	2.32771i	−1.57923	+	0.0756805i
$947$	−10.6465	+	18.4402i	−0.345963	+	0.599226i	−0.985528	−	0.169511i	$-0.945781\pi$
$947$	−10.6465	+	18.4402i	−0.345963	+	0.599226i	0.639565	+	0.768737i	$0.279114\pi$
$948$	−2.96457	−	3.19792i	−0.0962848	−	0.103864i
$949$	14.1992	+	55.5246i	0.460926	+	1.80241i
$950$	−0.936023	−	0.598249i	−0.0303686	−	0.0194098i
$951$	2.77129	+	26.3670i	0.0898652	+	0.855010i
$952$	−24.3620	−	35.7841i	−0.789577	−	1.15977i
$953$	27.8861	+	25.1088i	0.903320	+	0.813353i	0.983026	−	0.183465i	$-0.0587315\pi$
$953$	27.8861	+	25.1088i	0.903320	+	0.813353i	−0.0797061	+	0.996818i	$0.525398\pi$
$954$	54.5601	−	21.3992i	1.76645	−	0.692824i
$955$	−4.60751	+	43.8375i	−0.149096	+	1.41855i
$956$	−5.31211	−	15.5761i	−0.171806	−	0.503768i
$957$	−44.8650	+	25.2058i	−1.45028	+	0.814788i
$958$	7.91123	+	2.97116i	0.255600	+	0.0959937i
$959$	9.73108	−	4.33255i	0.314233	−	0.139905i
$960$	−54.0376	+	8.07068i	−1.74406	+	0.260480i
$961$	−6.42301	−	19.7680i	−0.207194	−	0.637677i
$962$	12.1747	−	13.4082i	0.392527	−	0.432297i
$963$	31.6657	−	23.0065i	1.02041	−	0.741373i
$964$	−12.7611	+	29.8192i	−0.411009	+	0.960413i
$965$	−32.2422	+	29.0310i	−1.03791	+	0.934542i
$966$	−25.1831	−	38.1693i	−0.810253	−	1.22808i
$967$			1.67215i			0.0537729i	0.999638	+	0.0268864i	$0.00855925\pi$
$967$			1.67215i			0.0537729i	−0.999638	+	0.0268864i	$0.991441\pi$
$968$	4.81509	+	30.7378i	0.154763	+	0.987952i
$969$	−7.79389	+	4.49980i	−0.250376	+	0.144555i
$970$	3.61101	+	60.4992i	0.115942	+	1.94251i
$971$	5.65229	+	26.5919i	0.181390	+	0.853375i	0.970872	+	0.239600i	$0.0770164\pi$
$971$	5.65229	+	26.5919i	0.181390	+	0.853375i	−0.789481	+	0.613775i	$0.789650\pi$
$972$	39.2056	+	16.7780i	1.25752	+	0.538156i
$973$	−33.9298	+	3.56617i	−1.08774	+	0.114326i
$974$	17.7597	+	4.62085i	0.569059	+	0.148062i
$975$	−5.63559	−	15.1985i	−0.180483	−	0.486741i
$976$	−14.5839	−	12.3843i	−0.466820	−	0.396410i
$977$	12.0700	+	27.1096i	0.386153	+	0.867315i	0.997133	+	0.0756683i	$0.0241090\pi$
$977$	12.0700	+	27.1096i	0.386153	+	0.867315i	−0.610980	+	0.791646i	$0.709224\pi$
$978$	4.14688	+	25.0066i	0.132603	+	0.799624i
$979$	2.83917	−	4.78701i	0.0907402	−	0.152994i
$980$	13.8518	+	2.73483i	0.442481	+	0.0873608i
$981$	−4.98084	+	47.3896i	−0.159026	+	1.51303i
$982$	5.76490	+	4.59947i	0.183965	+	0.146775i
$983$	−4.71452	−	14.5098i	−0.150370	−	0.462791i	0.847293	−	0.531126i	$-0.178231\pi$
$983$	−4.71452	−	14.5098i	−0.150370	−	0.462791i	−0.997662	+	0.0683358i	$0.978231\pi$
$984$	−3.85406	−	51.8963i	−0.122863	−	1.65439i
$985$	−27.6475	+	2.90587i	−0.880924	+	0.0925888i
$986$	−28.3598	−	54.6748i	−0.903160	−	1.74120i
$987$	−0.164249	+	0.505507i	−0.00522811	+	0.0160905i
$988$	−2.34266	+	2.35711i	−0.0745298	+	0.0749897i
$989$		−	61.4811i		−	1.95498i
$990$	−2.30045	−	48.0037i	−0.0731130	−	1.52566i
$991$	−3.10954	−	1.79529i	−0.0987778	−	0.0570294i	0.449797	−	0.893131i	$-0.351496\pi$
$991$	−3.10954	−	1.79529i	−0.0987778	−	0.0570294i	−0.548575	+	0.836101i	$0.684830\pi$
$992$	17.7426	−	3.47413i	0.563329	−	0.110304i
$993$	−57.2612	−	18.6053i	−1.81713	−	0.590421i
$994$	0.521230	−	11.5484i	0.0165324	−	0.366294i
$995$	−44.0894	−	19.6298i	−1.39773	−	0.622308i
$996$	1.28705	+	2.78142i	0.0407818	+	0.0881327i
$997$	37.2105	+	33.5045i	1.17847	+	1.06110i	0.996976	+	0.0777065i	$0.0247597\pi$
$997$	37.2105	+	33.5045i	1.17847	+	1.06110i	0.181493	+	0.983392i	$0.441907\pi$
$998$	−2.14351	+	14.1997i	−0.0678516	+	0.449483i
$999$	−8.19152	+	3.64710i	−0.259168	+	0.115389i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	572.2.bn.a.95.12	✓	640
4.3	odd	2	inner	572.2.bn.a.95.34	yes	640
11.8	odd	10	inner	572.2.bn.a.459.61	yes	640
13.10	even	6	inner	572.2.bn.a.491.16	yes	640
44.19	even	10	inner	572.2.bn.a.459.16	yes	640
52.23	odd	6	inner	572.2.bn.a.491.61	yes	640
143.140	odd	30	inner	572.2.bn.a.283.34	yes	640
572.283	even	30	inner	572.2.bn.a.283.12	yes	640

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
572.2.bn.a.95.12	✓	640	1.1	even	1	trivial
572.2.bn.a.95.34	yes	640	4.3	odd	2	inner
572.2.bn.a.283.12	yes	640	572.283	even	30	inner
572.2.bn.a.283.34	yes	640	143.140	odd	30	inner
572.2.bn.a.459.16	yes	640	44.19	even	10	inner
572.2.bn.a.459.61	yes	640	11.8	odd	10	inner
572.2.bn.a.491.16	yes	640	13.10	even	6	inner
572.2.bn.a.491.61	yes	640	52.23	odd	6	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:	\( N \)	\(=\)	\( 572 = 2^{2} \cdot 11 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	572.bn (of order \(30\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.26470 - 0.632879i) q^{2} +(1.96015 - 1.76492i) q^{3} +(1.19893 + 1.60080i) q^{4} +(1.52195 + 2.09479i) q^{5} +(-3.59598 + 0.991561i) q^{6} +(1.53627 + 1.38326i) q^{7} +(-0.503167 - 2.78331i) q^{8} +(0.413632 - 3.93545i) q^{9} +O(q^{10})\)	\(q+(-1.26470 - 0.632879i) q^{2} +(1.96015 - 1.76492i) q^{3} +(1.19893 + 1.60080i) q^{4} +(1.52195 + 2.09479i) q^{5} +(-3.59598 + 0.991561i) q^{6} +(1.53627 + 1.38326i) q^{7} +(-0.503167 - 2.78331i) q^{8} +(0.413632 - 3.93545i) q^{9} +(-0.599063 - 3.61249i) q^{10} +(-0.0389047 + 3.31640i) q^{11} +(5.17537 + 1.02179i) q^{12} +(-3.59822 - 0.229866i) q^{13} +(-1.06748 - 2.72168i) q^{14} +(6.68038 + 1.41996i) q^{15} +(-1.12515 + 3.83850i) q^{16} +(3.01134 - 6.76359i) q^{17} +(-3.01378 + 4.71538i) q^{18} +(-0.0958166 - 0.450782i) q^{19} +(-1.52863 + 4.94784i) q^{20} +5.45266 q^{21} +(2.14808 - 4.16962i) q^{22} +(5.13562 + 2.96505i) q^{23} +(-5.89861 - 4.56764i) q^{24} +(-0.526709 + 1.62104i) q^{25} +(4.40518 + 2.56795i) q^{26} +(-1.48389 - 2.04240i) q^{27} +(-0.372457 + 4.11770i) q^{28} +(-1.22305 + 5.75399i) q^{29} +(-7.55001 - 6.02370i) q^{30} +(2.58566 + 1.87859i) q^{31} +(3.85228 - 4.14246i) q^{32} +(5.77693 + 6.56928i) q^{33} +(-8.08898 + 6.64809i) q^{34} +(-0.559513 + 5.32341i) q^{35} +(6.79579 - 4.05617i) q^{36} +(0.738466 - 3.47421i) q^{37} +(-0.164111 + 0.630743i) q^{38} +(-7.45872 + 5.90000i) q^{39} +(5.06465 - 5.29009i) q^{40} +(4.66748 + 5.18376i) q^{41} +(-6.89598 - 3.45088i) q^{42} +(-5.18381 - 8.97862i) q^{43} +(-5.35554 + 3.91384i) q^{44} +(8.87345 - 5.12309i) q^{45} +(-4.61849 - 7.00013i) q^{46} +(-0.0301227 + 0.0927082i) q^{47} +(4.56920 + 9.50980i) q^{48} +(-0.284993 - 2.71153i) q^{49} +(1.69205 - 1.71679i) q^{50} +(-6.03454 - 18.5724i) q^{51} +(-3.94603 - 6.03563i) q^{52} +(-8.47246 - 6.15560i) q^{53} +(0.584081 + 3.52214i) q^{54} +(-7.00635 + 4.96590i) q^{55} +(3.07705 - 4.97193i) q^{56} +(-0.983409 - 0.714488i) q^{57} +(5.18837 - 6.50302i) q^{58} +(-0.639382 + 0.710105i) q^{59} +(5.73622 + 12.3964i) q^{60} +(-1.94549 + 4.36965i) q^{61} +(-2.08116 - 4.01226i) q^{62} +(6.07921 - 5.47374i) q^{63} +(-7.49365 + 2.80094i) q^{64} +(-4.99479 - 7.88734i) q^{65} +(-3.14851 - 11.9643i) q^{66} +(-3.70317 + 6.41407i) q^{67} +(14.4376 - 3.28848i) q^{68} +(15.2996 - 3.25204i) q^{69} +(4.07670 - 6.37841i) q^{70} +(3.61232 + 1.60831i) q^{71} +(-11.1617 + 0.828919i) q^{72} +(-4.91193 - 15.1174i) q^{73} +(-3.13269 + 3.92647i) q^{74} +(1.82859 + 4.10708i) q^{75} +(0.606736 - 0.693838i) q^{76} +(-4.64722 + 5.04106i) q^{77} +(13.1670 - 2.74126i) q^{78} +(-0.668752 - 0.485877i) q^{79} +(-9.75324 + 3.48506i) q^{80} +(5.09864 + 1.08375i) q^{81} +(-2.62226 - 9.50984i) q^{82} +(0.341485 + 0.470014i) q^{83} +(6.53735 + 8.72864i) q^{84} +(18.7514 - 3.98573i) q^{85} +(0.873575 + 14.6360i) q^{86} +(7.75799 + 13.4372i) q^{87} +(9.25014 - 1.56042i) q^{88} +(-1.45328 - 0.839052i) q^{89} +(-14.4645 + 0.863342i) q^{90} +(-5.20986 - 5.33042i) q^{91} +(1.41077 + 11.7760i) q^{92} +(8.38382 - 0.881175i) q^{93} +(0.0967693 - 0.0981839i) q^{94} +(0.798463 - 0.886783i) q^{95} +(0.239897 - 14.9188i) q^{96} +(-16.4604 - 1.73005i) q^{97} +(-1.35564 + 3.60963i) q^{98} +(13.0354 + 1.52488i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 640 q - 15 q^{2} - 3 q^{4} - 15 q^{6} - 78 q^{9}+O(q^{10}) \) 640 * q - 15 * q^2 - 3 * q^4 - 15 * q^6 - 78 * q^9	\( 640 q - 15 q^{2} - 3 q^{4} - 15 q^{6} - 78 q^{9} - 4 q^{12} - 20 q^{13} - 12 q^{14} - 19 q^{16} - 10 q^{17} - 45 q^{20} - 15 q^{22} - 15 q^{24} + 104 q^{25} - 20 q^{26} - 15 q^{28} - 10 q^{29} + 45 q^{30} - 24 q^{33} + 4 q^{36} - 18 q^{37} - 14 q^{38} - 20 q^{40} - 30 q^{41} - 13 q^{42} - 108 q^{45} - 15 q^{46} + 35 q^{48} - 74 q^{49} - 90 q^{50} + 15 q^{52} - 8 q^{53} + 50 q^{56} + 27 q^{58} - 10 q^{61} - 5 q^{62} - 84 q^{64} - 146 q^{66} - 70 q^{68} - 26 q^{69} - 15 q^{72} - 55 q^{74} + 44 q^{77} + 24 q^{78} - 39 q^{80} + 30 q^{81} - 29 q^{82} + 30 q^{84} - 30 q^{85} - 75 q^{88} - 24 q^{89} + 30 q^{90} + 14 q^{92} + 66 q^{93} - 5 q^{94} - 30 q^{97}+O(q^{100}) \) 640 * q - 15 * q^2 - 3 * q^4 - 15 * q^6 - 78 * q^9 - 4 * q^12 - 20 * q^13 - 12 * q^14 - 19 * q^16 - 10 * q^17 - 45 * q^20 - 15 * q^22 - 15 * q^24 + 104 * q^25 - 20 * q^26 - 15 * q^28 - 10 * q^29 + 45 * q^30 - 24 * q^33 + 4 * q^36 - 18 * q^37 - 14 * q^38 - 20 * q^40 - 30 * q^41 - 13 * q^42 - 108 * q^45 - 15 * q^46 + 35 * q^48 - 74 * q^49 - 90 * q^50 + 15 * q^52 - 8 * q^53 + 50 * q^56 + 27 * q^58 - 10 * q^61 - 5 * q^62 - 84 * q^64 - 146 * q^66 - 70 * q^68 - 26 * q^69 - 15 * q^72 - 55 * q^74 + 44 * q^77 + 24 * q^78 - 39 * q^80 + 30 * q^81 - 29 * q^82 + 30 * q^84 - 30 * q^85 - 75 * q^88 - 24 * q^89 + 30 * q^90 + 14 * q^92 + 66 * q^93 - 5 * q^94 - 30 * q^97

Introduction

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