LMFDB - Embedded newform 252.2.bb.a.11.4

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [252,2,Mod(11,252)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(252, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([3, 1, 4]))

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

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

chi := DirichletCharacter("252.11");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 252 = 2^{2} \cdot 3^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	252.bb (of order $6$, degree $2$, 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:	$2.01223013094$
Analytic rank:	$0$
Dimension:	$88$
Relative dimension:	$44$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			11.4
Character	$\chi$	$=$	252.11
Dual form			252.2.bb.a.23.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.35995 - 0.387995i) q^{2} +(0.672325 + 1.59624i) q^{3} +(1.69892 + 1.05531i) q^{4} +(3.19234 + 1.84310i) q^{5} +(-0.294994 - 2.43166i) q^{6} +(2.29354 + 1.31898i) q^{7} +(-1.90099 - 2.09434i) q^{8} +(-2.09596 + 2.14638i) q^{9} +O(q^{10})$	\(q+(-1.35995 - 0.387995i) q^{2} +(0.672325 + 1.59624i) q^{3} +(1.69892 + 1.05531i) q^{4} +(3.19234 + 1.84310i) q^{5} +(-0.294994 - 2.43166i) q^{6} +(2.29354 + 1.31898i) q^{7} +(-1.90099 - 2.09434i) q^{8} +(-2.09596 + 2.14638i) q^{9} +(-3.62630 - 3.74513i) q^{10} +(-1.79831 - 3.11476i) q^{11} +(-0.542297 + 3.42139i) q^{12} +(-0.565220 - 0.978990i) q^{13} +(-2.60733 - 2.68362i) q^{14} +(-0.795735 + 6.33490i) q^{15} +(1.77265 + 3.58576i) q^{16} +(-5.61029 - 3.23910i) q^{17} +(3.68318 - 2.10575i) q^{18} +(4.20169 - 2.42585i) q^{19} +(3.47849 + 6.50017i) q^{20} +(-0.563399 + 4.54781i) q^{21} +(1.23709 + 4.93365i) q^{22} +(-0.522364 + 0.904760i) q^{23} +(2.06498 - 4.44251i) q^{24} +(4.29402 + 7.43745i) q^{25} +(0.388827 + 1.55068i) q^{26} +(-4.83531 - 1.90258i) q^{27} +(2.50461 + 4.66122i) q^{28} +(1.32443 + 0.764659i) q^{29} +(3.54007 - 8.30639i) q^{30} -3.45679i q^{31} +(-1.01945 - 5.56424i) q^{32} +(3.76286 - 4.96466i) q^{33} +(6.37294 + 6.58178i) q^{34} +(4.89074 + 8.43782i) q^{35} +(-5.82596 + 1.43465i) q^{36} +(1.02611 + 1.77727i) q^{37} +(-6.65530 + 1.66879i) q^{38} +(1.18269 - 1.56043i) q^{39} +(-2.20853 - 10.1895i) q^{40} +(-0.782771 + 0.451933i) q^{41} +(2.53072 - 5.96619i) q^{42} +(-5.77771 - 3.33576i) q^{43} +(0.231851 - 7.18949i) q^{44} +(-10.6470 + 2.98893i) q^{45} +(1.06143 - 1.02775i) q^{46} +3.71500 q^{47} +(-4.53194 + 5.24037i) q^{48} +(3.52061 + 6.05023i) q^{49} +(-2.95394 - 11.7806i) q^{50} +(1.39844 - 11.1331i) q^{51} +(0.0728725 - 2.25971i) q^{52} +(0.975539 + 0.563227i) q^{53} +(5.83757 + 4.46349i) q^{54} -13.2578i q^{55} +(-1.59760 - 7.31079i) q^{56} +(6.69713 + 5.07594i) q^{57} +(-1.50447 - 1.55377i) q^{58} +0.835539 q^{59} +(-8.03715 + 9.92273i) q^{60} -13.5427 q^{61} +(-1.34122 + 4.70106i) q^{62} +(-7.63818 + 2.15829i) q^{63} +(-0.772494 + 7.96262i) q^{64} -4.16702i q^{65} +(-7.04355 + 5.29171i) q^{66} +3.46796i q^{67} +(-6.11317 - 11.4235i) q^{68} +(-1.79541 - 0.225524i) q^{69} +(-3.37732 - 13.3726i) q^{70} +2.47422 q^{71} +(8.47964 + 0.309394i) q^{72} +(3.43894 - 5.95641i) q^{73} +(-0.705881 - 2.81512i) q^{74} +(-8.98498 + 11.8547i) q^{75} +(9.69835 + 0.312758i) q^{76} +(-0.0161899 - 9.51574i) q^{77} +(-2.21384 + 1.66322i) q^{78} -6.62099i q^{79} +(-0.950010 + 14.7141i) q^{80} +(-0.213922 - 8.99746i) q^{81} +(1.23988 - 0.310894i) q^{82} +(-5.37860 + 9.31600i) q^{83} +(-5.75651 + 7.13180i) q^{84} +(-11.9400 - 20.6806i) q^{85} +(6.56313 + 6.77819i) q^{86} +(-0.330132 + 2.62820i) q^{87} +(-3.10480 + 9.68738i) q^{88} +(15.6235 - 9.02024i) q^{89} +(15.6391 + 0.0662018i) q^{90} +(-0.00508858 - 2.99086i) q^{91} +(-1.84225 + 0.985860i) q^{92} +(5.51787 - 2.32409i) q^{93} +(-5.05221 - 1.44140i) q^{94} +17.8843 q^{95} +(8.19644 - 5.36827i) q^{96} +(-5.46022 + 9.45739i) q^{97} +(-2.44038 - 9.59398i) q^{98} +(10.4546 + 2.66855i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 88 q - 2 q^{4} - 6 q^{5} - 6 q^{6} - 2 q^{9}+O(q^{10}) $ 88 * q - 2 * q^4 - 6 * q^5 - 6 * q^6 - 2 * q^9	$ 88 q - 2 q^{4} - 6 q^{5} - 6 q^{6} - 2 q^{9} + 2 q^{10} + 6 q^{12} - 4 q^{13} - 18 q^{14} - 2 q^{16} + 2 q^{18} - 6 q^{20} - 6 q^{21} - 6 q^{22} - 14 q^{24} + 30 q^{25} + 6 q^{26} - 24 q^{29} - 29 q^{30} + 10 q^{33} - 4 q^{34} + 2 q^{36} - 4 q^{37} - 45 q^{38} - 4 q^{40} - 12 q^{41} - 46 q^{42} + 57 q^{44} - 18 q^{45} - 6 q^{46} - 43 q^{48} - 2 q^{49} + 9 q^{50} - 7 q^{52} + 23 q^{54} - 24 q^{56} - 28 q^{57} + 5 q^{58} - 19 q^{60} - 4 q^{61} - 8 q^{64} + 60 q^{66} - 12 q^{68} - 6 q^{69} - 27 q^{70} - 10 q^{72} - 4 q^{73} + 51 q^{74} - 6 q^{76} - 30 q^{77} + 55 q^{78} - 87 q^{80} - 34 q^{81} - 4 q^{82} - 55 q^{84} - 14 q^{85} + 81 q^{86} + 9 q^{88} - 60 q^{89} + 41 q^{90} + 24 q^{92} + 30 q^{93} - 18 q^{94} - 29 q^{96} - 4 q^{97} + 57 q^{98}+O(q^{100}) $ 88 * q - 2 * q^4 - 6 * q^5 - 6 * q^6 - 2 * q^9 + 2 * q^10 + 6 * q^12 - 4 * q^13 - 18 * q^14 - 2 * q^16 + 2 * q^18 - 6 * q^20 - 6 * q^21 - 6 * q^22 - 14 * q^24 + 30 * q^25 + 6 * q^26 - 24 * q^29 - 29 * q^30 + 10 * q^33 - 4 * q^34 + 2 * q^36 - 4 * q^37 - 45 * q^38 - 4 * q^40 - 12 * q^41 - 46 * q^42 + 57 * q^44 - 18 * q^45 - 6 * q^46 - 43 * q^48 - 2 * q^49 + 9 * q^50 - 7 * q^52 + 23 * q^54 - 24 * q^56 - 28 * q^57 + 5 * q^58 - 19 * q^60 - 4 * q^61 - 8 * q^64 + 60 * q^66 - 12 * q^68 - 6 * q^69 - 27 * q^70 - 10 * q^72 - 4 * q^73 + 51 * q^74 - 6 * q^76 - 30 * q^77 + 55 * q^78 - 87 * q^80 - 34 * q^81 - 4 * q^82 - 55 * q^84 - 14 * q^85 + 81 * q^86 + 9 * q^88 - 60 * q^89 + 41 * q^90 + 24 * q^92 + 30 * q^93 - 18 * q^94 - 29 * q^96 - 4 * q^97 + 57 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/252\mathbb{Z}\right)^\times$.

$n$	$29$	$73$	$127$
$\chi(n)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{2}{3}\right)$	$-1$

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 $

$2$	−1.35995	−	0.387995i	−0.961629	−	0.274354i
$2$	−1.35995	−	0.387995i	−0.961629	−	0.274354i
$3$	0.672325	+	1.59624i	0.388167	+	0.921589i
$3$	0.672325	+	1.59624i	0.388167	+	0.921589i
$4$	1.69892	+	1.05531i	0.849459	+	0.527654i
$5$	3.19234	+	1.84310i	1.42766	+	0.824258i	0.996936	−	0.0782267i	$-0.0249258\pi$
$5$	3.19234	+	1.84310i	1.42766	+	0.824258i	0.430722	+	0.902485i	$0.358259\pi$
$6$	−0.294994	−	2.43166i	−0.120431	−	0.992722i
$7$	2.29354	+	1.31898i	0.866875	+	0.498526i
$7$	2.29354	+	1.31898i	0.866875	+	0.498526i
$8$	−1.90099	−	2.09434i	−0.672101	−	0.740460i
$9$	−2.09596	+	2.14638i	−0.698653	+	0.715461i
$10$	−3.62630	−	3.74513i	−1.14674	−	1.18431i
$11$	−1.79831	−	3.11476i	−0.542210	−	0.939136i	−0.998777	−	0.0494465i	$-0.984254\pi$
$11$	−1.79831	−	3.11476i	−0.542210	−	0.939136i	0.456566	−	0.889689i	$-0.349079\pi$
$12$	−0.542297	+	3.42139i	−0.156548	+	0.987670i
$13$	−0.565220	−	0.978990i	−0.156764	−	0.271523i	0.776936	−	0.629580i	$-0.216773\pi$
$13$	−0.565220	−	0.978990i	−0.156764	−	0.271523i	−0.933700	+	0.358057i	$0.883440\pi$
$14$	−2.60733	−	2.68362i	−0.696839	−	0.717228i
$15$	−0.795735	+	6.33490i	−0.205458	+	1.63566i
$16$	1.77265	+	3.58576i	0.443163	+	0.896441i
$17$	−5.61029	−	3.23910i	−1.36069	−	0.785597i	−0.370978	−	0.928642i	$-0.620978\pi$
$17$	−5.61029	−	3.23910i	−1.36069	−	0.785597i	−0.989716	+	0.143044i	$0.954311\pi$
$18$	3.68318	−	2.10575i	0.868134	−	0.496330i
$19$	4.20169	−	2.42585i	0.963934	−	0.556528i	0.0665524	−	0.997783i	$-0.478800\pi$
$19$	4.20169	−	2.42585i	0.963934	−	0.556528i	0.897382	+	0.441255i	$0.145467\pi$
$20$	3.47849	+	6.50017i	0.777814	+	1.45348i
$21$	−0.563399	+	4.54781i	−0.122944	+	0.992414i
$22$	1.23709	+	4.93365i	0.263749	+	1.05186i
$23$	−0.522364	+	0.904760i	−0.108920	+	0.188656i	−0.915333	−	0.402697i	$-0.868073\pi$
$23$	−0.522364	+	0.904760i	−0.108920	+	0.188656i	0.806413	+	0.591353i	$0.201406\pi$
$24$	2.06498	−	4.44251i	0.421512	−	0.906823i
$25$	4.29402	+	7.43745i	0.858803	+	1.48749i
$26$	0.388827	+	1.55068i	0.0762552	+	0.304113i
$27$	−4.83531	−	1.90258i	−0.930555	−	0.366152i
$28$	2.50461	+	4.66122i	0.473326	+	0.880887i
$29$	1.32443	+	0.764659i	0.245940	+	0.141994i	0.617904	−	0.786254i	$-0.287982\pi$
$29$	1.32443	+	0.764659i	0.245940	+	0.141994i	−0.371964	+	0.928247i	$0.621315\pi$
$30$	3.54007	−	8.30639i	0.646325	−	1.51653i
$31$		−	3.45679i		−	0.620859i	−0.950596	−	0.310429i	$-0.899527\pi$
$31$		−	3.45679i		−	0.620859i	0.950596	−	0.310429i	$-0.100473\pi$
$32$	−1.01945	−	5.56424i	−0.180216	−	0.983627i
$33$	3.76286	−	4.96466i	0.655029	−	0.864237i
$34$	6.37294	+	6.58178i	1.09295	+	1.12877i
$35$	4.89074	+	8.43782i	0.826686	+	1.42625i
$36$	−5.82596	+	1.43465i	−0.970993	+	0.239108i
$37$	1.02611	+	1.77727i	0.168691	+	0.292182i	0.937960	−	0.346744i	$-0.112713\pi$
$37$	1.02611	+	1.77727i	0.168691	+	0.292182i	−0.769269	+	0.638925i	$0.779379\pi$
$38$	−6.65530	+	1.66879i	−1.07963	+	0.270713i
$39$	1.18269	−	1.56043i	0.189382	−	0.249868i
$40$	−2.20853	−	10.1895i	−0.349199	−	1.61111i
$41$	−0.782771	+	0.451933i	−0.122248	+	0.0705801i	−0.559877	−	0.828576i	$-0.689152\pi$
$41$	−0.782771	+	0.451933i	−0.122248	+	0.0705801i	0.437629	+	0.899156i	$0.355818\pi$
$42$	2.53072	−	5.96619i	0.390499	−	0.920603i
$43$	−5.77771	−	3.33576i	−0.881093	−	0.508699i	−0.0100740	−	0.999949i	$-0.503207\pi$
$43$	−5.77771	−	3.33576i	−0.881093	−	0.508699i	−0.871018	+	0.491250i	$0.836540\pi$
$44$	0.231851	−	7.18949i	0.0349529	−	1.08386i
$45$	−10.6470	+	2.98893i	−1.58716	+	0.445563i
$46$	1.06143	−	1.02775i	0.156499	−	0.151534i
$47$	3.71500			0.541889			0.270944	−	0.962595i	$-0.412664\pi$
$47$	3.71500			0.541889			0.270944	+	0.962595i	$0.412664\pi$
$48$	−4.53194	+	5.24037i	−0.654129	+	0.756383i
$49$	3.52061	+	6.05023i	0.502944	+	0.864319i
$50$	−2.95394	−	11.7806i	−0.417750	−	1.66603i
$51$	1.39844	−	11.1331i	0.195821	−	1.55894i
$52$	0.0728725	−	2.25971i	0.0101056	−	0.313365i
$53$	0.975539	+	0.563227i	0.134001	+	0.0773652i	0.565502	−	0.824747i	$-0.308683\pi$
$53$	0.975539	+	0.563227i	0.134001	+	0.0773652i	−0.431501	+	0.902112i	$0.642016\pi$
$54$	5.83757	+	4.46349i	0.794393	+	0.607404i
$55$		−	13.2578i		−	1.78769i
$56$	−1.59760	−	7.31079i	−0.213489	−	0.976946i
$57$	6.69713	+	5.07594i	0.887057	+	0.672325i
$58$	−1.50447	−	1.55377i	−0.197547	−	0.204020i
$59$	0.835539			0.108778			0.0543890	−	0.998520i	$-0.482679\pi$
$59$	0.835539			0.108778			0.0543890	+	0.998520i	$0.482679\pi$
$60$	−8.03715	+	9.92273i	−1.03759	+	1.28102i
$61$	−13.5427			−1.73397			−0.866983	−	0.498339i	$-0.833944\pi$
$61$	−13.5427			−1.73397			−0.866983	+	0.498339i	$0.833944\pi$
$62$	−1.34122	+	4.70106i	−0.170335	+	0.597036i
$63$	−7.63818	+	2.15829i	−0.962320	+	0.271919i
$64$	−0.772494	+	7.96262i	−0.0965617	+	0.995327i
$65$		−	4.16702i		−	0.516856i
$66$	−7.04355	+	5.29171i	−0.867002	+	0.651365i
$67$			3.46796i			0.423679i	0.977304	+	0.211839i	$0.0679454\pi$
$67$			3.46796i			0.423679i	−0.977304	+	0.211839i	$0.932055\pi$
$68$	−6.11317	−	11.4235i	−0.741331	−	1.38531i
$69$	−1.79541	−	0.225524i	−0.216142	−	0.0271499i
$70$	−3.37732	−	13.3726i	−0.403667	−	1.59833i
$71$	2.47422			0.293636			0.146818	−	0.989164i	$-0.453097\pi$
$71$	2.47422			0.293636			0.146818	+	0.989164i	$0.453097\pi$
$72$	8.47964	+	0.309394i	0.999335	+	0.0364625i
$73$	3.43894	−	5.95641i	0.402497	−	0.697145i	−0.591530	−	0.806283i	$-0.701476\pi$
$73$	3.43894	−	5.95641i	0.402497	−	0.697145i	0.994027	+	0.109138i	$0.0348090\pi$
$74$	−0.705881	−	2.81512i	−0.0820570	−	0.327252i
$75$	−8.98498	+	11.8547i	−1.03750	+	1.36886i
$76$	9.69835	+	0.312758i	1.11248	+	0.0358759i
$77$	−0.0161899	−	9.51574i	−0.00184501	−	1.08442i
$78$	−2.21384	+	1.66322i	−0.250668	+	0.188323i
$79$		−	6.62099i		−	0.744919i	−0.928048	−	0.372460i	$-0.878514\pi$
$79$		−	6.62099i		−	0.744919i	0.928048	−	0.372460i	$-0.121486\pi$
$80$	−0.950010	+	14.7141i	−0.106214	+	1.64509i
$81$	−0.213922	−	8.99746i	−0.0237691	−	0.999717i
$82$	1.23988	−	0.310894i	0.136921	−	0.0343325i
$83$	−5.37860	+	9.31600i	−0.590378	+	1.02256i	0.403804	+	0.914846i	$0.367688\pi$
$83$	−5.37860	+	9.31600i	−0.590378	+	1.02256i	−0.994181	+	0.107718i	$0.965645\pi$
$84$	−5.75651	+	7.13180i	−0.628087	+	0.778144i
$85$	−11.9400	−	20.6806i	−1.29507	−	2.24313i
$86$	6.56313	+	6.77819i	0.707720	+	0.730911i
$87$	−0.330132	+	2.62820i	−0.0353939	+	0.281773i
$88$	−3.10480	+	9.68738i	−0.330973	+	1.03268i
$89$	15.6235	−	9.02024i	1.65609	−	0.956144i	0.681596	−	0.731729i	$-0.261286\pi$
$89$	15.6235	−	9.02024i	1.65609	−	0.956144i	0.974494	−	0.224415i	$-0.0720471\pi$
$90$	15.6391	+	0.0662018i	1.64850	+	0.00697828i
$91$	−0.00508858	−	2.99086i	−0.000533428	−	0.313527i
$92$	−1.84225	+	0.985860i	−0.192068	+	0.102783i
$93$	5.51787	−	2.32409i	0.572177	−	0.240997i
$94$	−5.05221	−	1.44140i	−0.521096	−	0.148670i
$95$	17.8843			1.83489
$96$	8.19644	−	5.36827i	0.836546	−	0.547896i
$97$	−5.46022	+	9.45739i	−0.554402	+	0.960252i	0.443548	+	0.896251i	$0.353720\pi$
$97$	−5.46022	+	9.45739i	−0.554402	+	0.960252i	−0.997950	+	0.0640014i	$0.979614\pi$
$98$	−2.44038	−	9.59398i	−0.246516	−	0.969139i
$99$	10.4546	+	2.66855i	1.05073	+	0.268199i
$100$	−0.553617	+	17.1671i	−0.0553617	+	1.71671i
$101$	6.36259	−	3.67344i	0.633101	−	0.365521i	−0.148851	−	0.988860i	$-0.547557\pi$
$101$	6.36259	−	3.67344i	0.633101	−	0.365521i	0.781952	+	0.623339i	$0.214224\pi$
$102$	−6.22140	+	14.5978i	−0.616010	+	1.44540i
$103$	−1.01104	−	0.583722i	−0.0996204	−	0.0575158i	0.449362	−	0.893350i	$-0.351651\pi$
$103$	−1.01104	−	0.583722i	−0.0996204	−	0.0575158i	−0.548982	+	0.835834i	$0.684985\pi$
$104$	−0.975859	+	3.04481i	−0.0956908	+	0.298568i
$105$	−10.1806	+	13.4798i	−0.993526	+	1.31549i
$106$	−1.10815	−	1.14446i	−0.107633	−	0.111160i
$107$	7.59837	+	13.1608i	0.734562	+	1.27230i	0.954915	+	0.296878i	$0.0959456\pi$
$107$	7.59837	+	13.1608i	0.734562	+	1.27230i	−0.220353	+	0.975420i	$0.570721\pi$
$108$	−6.20698	−	8.33507i	−0.597267	−	0.802042i
$109$	6.64628	−	11.5117i	0.636598	−	1.10262i	−0.349576	−	0.936908i	$-0.613674\pi$
$109$	6.64628	−	11.5117i	0.636598	−	1.10262i	0.986174	−	0.165712i	$-0.0529923\pi$
$110$	−5.14398	+	18.0300i	−0.490459	+	1.71909i
$111$	−2.14707	+	2.83282i	−0.203791	+	0.268879i
$112$	−0.663897	+	10.5622i	−0.0627323	+	0.998030i
$113$	−0.272599	+	0.157385i	−0.0256440	+	0.0148055i	−0.512767	−	0.858528i	$-0.671380\pi$
$113$	−0.272599	+	0.157385i	−0.0256440	+	0.0148055i	0.487123	+	0.873333i	$0.338046\pi$
$114$	−7.13831	−	9.50148i	−0.668564	−	0.889895i
$115$	−3.33512	+	1.92553i	−0.311002	+	0.179557i
$116$	1.44315	+	2.69677i	0.133993	+	0.250389i
$117$	3.28597	+	0.838743i	0.303788	+	0.0775418i
$118$	−1.13629	−	0.324185i	−0.104604	−	0.0298437i
$119$	−8.59510	−	14.8288i	−0.787911	−	1.35936i
$120$	14.7801	−	10.3760i	1.34923	−	0.947197i
$121$	−0.967824	+	1.67632i	−0.0879840	+	0.152393i
$122$	18.4174	+	5.25451i	1.66743	+	0.475721i
$123$	−1.24767	−	0.945644i	−0.112499	−	0.0852658i
$124$	3.64798	−	5.87281i	0.327598	−	0.527394i
$125$			13.2262i			1.18299i
$126$	11.2249	+	0.0284183i	0.999997	+	0.00253170i
$127$			7.20459i			0.639304i	0.947535	+	0.319652i	$0.103566\pi$
$127$			7.20459i			0.639304i	−0.947535	+	0.319652i	$0.896434\pi$
$128$	4.14001	−	10.5290i	0.365929	−	0.930643i
$129$	1.44017	−	11.4653i	0.126800	−	1.00947i
$130$	−1.61679	+	5.66694i	−0.141802	+	0.497023i
$131$	−7.01097	+	12.1434i	−0.612551	+	1.06097i	0.378257	+	0.925700i	$0.376523\pi$
$131$	−7.01097	+	12.1434i	−0.612551	+	1.06097i	−0.990809	+	0.135270i	$0.956810\pi$
$132$	11.6320	−	4.46359i	1.01244	−	0.388505i
$133$	12.8364	−	0.0218395i	1.11305	−	0.00189372i
$134$	1.34555	−	4.71625i	0.116238	−	0.407422i
$135$	−11.9293	−	14.9856i	−1.02671	−	1.28976i
$136$	3.88132	+	17.9073i	0.332820	+	1.53554i
$137$	−16.1736	+	9.33782i	−1.38180	+	0.797784i	−0.992373	−	0.123273i	$-0.960661\pi$
$137$	−16.1736	+	9.33782i	−1.38180	+	0.797784i	−0.389429	+	0.921057i	$0.627328\pi$
$138$	2.35417	+	1.00331i	0.200400	+	0.0854077i
$139$	−0.265228	+	0.153129i	−0.0224963	+	0.0129883i	−0.511206	−	0.859458i	$-0.670801\pi$
$139$	−0.265228	+	0.153129i	−0.0224963	+	0.0129883i	0.488710	+	0.872446i	$0.337468\pi$
$140$	−0.595529	+	19.4964i	−0.0503314	+	1.64775i
$141$	2.49769	+	5.93003i	0.210343	+	0.499399i
$142$	−3.36481	−	0.959985i	−0.282368	−	0.0805602i
$143$	−2.03288	+	3.52105i	−0.169998	+	0.294445i
$144$	−11.4118	−	3.71082i	−0.950986	−	0.309235i
$145$	2.81868	+	4.88210i	0.234079	+	0.405437i
$146$	−6.98784	+	6.76612i	−0.578318	+	0.559968i
$147$	−7.29062	+	9.68746i	−0.601321	+	0.799008i
$148$	−0.132294	+	4.10230i	−0.0108745	+	0.337207i
$149$	−8.46904	−	4.88960i	−0.693810	−	0.400572i	0.111228	−	0.993795i	$-0.464522\pi$
$149$	−8.46904	−	4.88960i	−0.693810	−	0.400572i	−0.805038	+	0.593223i	$0.797855\pi$
$150$	16.8187	−	12.6356i	1.37324	−	1.03169i
$151$	20.1095	−	11.6102i	1.63649	−	0.944829i	0.654463	−	0.756094i	$-0.272895\pi$
$151$	20.1095	−	11.6102i	1.63649	−	0.944829i	0.982028	−	0.188735i	$-0.0604386\pi$
$152$	−13.0679	−	4.18825i	−1.05995	−	0.339712i
$153$	18.7113	−	5.25281i	1.51272	−	0.424664i
$154$	−3.67005	+	12.9472i	−0.295741	+	1.04331i
$155$	6.37121	−	11.0353i	0.511748	−	0.886373i
$156$	3.65603	−	1.40294i	0.292716	−	0.112325i
$157$	−6.42697			−0.512928			−0.256464	−	0.966554i	$-0.582557\pi$
$157$	−6.42697			−0.512928			−0.256464	+	0.966554i	$0.582557\pi$
$158$	−2.56891	+	9.00420i	−0.204372	+	0.716336i
$159$	−0.243167	+	1.93586i	−0.0192844	+	0.153524i
$160$	7.00099	−	19.6419i	0.553477	−	1.55283i
$161$	−2.39142	+	1.38612i	−0.188470	+	0.109241i
$162$	−3.20005	+	12.3191i	−0.251420	+	0.967878i
$163$	−6.27359	+	3.62206i	−0.491386	+	0.283702i	−0.725149	−	0.688592i	$-0.758229\pi$
$163$	−6.27359	+	3.62206i	−0.491386	+	0.283702i	0.233763	+	0.972294i	$0.424896\pi$
$164$	−1.80679	−	0.0582666i	−0.141087	−	0.00454986i
$165$	21.1627	−	8.91357i	1.64751	−	0.693921i
$166$	10.9292	−	10.5824i	0.848269	−	0.821354i
$167$	−8.90378	−	15.4218i	−0.688995	−	1.19337i	−0.972163	−	0.234304i	$-0.924719\pi$
$167$	−8.90378	−	15.4218i	−0.688995	−	1.19337i	0.283168	−	0.959070i	$-0.408614\pi$
$168$	10.5957	−	7.46538i	0.817473	−	0.575967i
$169$	5.86105	−	10.1516i	0.450850	−	0.780895i
$170$	8.21374	+	32.7572i	0.629965	+	2.51236i
$171$	−3.59977	+	14.1029i	−0.275281	+	1.07848i
$172$	−6.29561	−	11.7645i	−0.480035	−	0.897031i
$173$			8.82819i			0.671195i	0.942006	+	0.335597i	$0.108938\pi$
$173$			8.82819i			0.671195i	−0.942006	+	0.335597i	$0.891062\pi$
$174$	1.46869	−	3.44613i	0.111341	−	0.261251i
$175$	0.0386583	+	22.7218i	0.00292229	+	1.71760i
$176$	7.98103	−	11.9697i	0.601592	−	0.902250i
$177$	0.561754	+	1.33372i	0.0422240	+	0.100249i
$178$	−24.7470	+	6.20521i	−1.85487	+	0.465100i
$179$	6.44399	−	11.1613i	0.481646	−	0.834236i	−0.518132	−	0.855301i	$-0.673372\pi$
$179$	6.44399	−	11.1613i	0.481646	−	0.834236i	0.999778	+	0.0210647i	$0.00670560\pi$
$180$	−21.2426	−	6.15792i	−1.58333	−	0.458984i
$181$	−9.19667			−0.683583			−0.341792	−	0.939776i	$-0.611034\pi$
$181$	−9.19667			−0.683583			−0.341792	+	0.939776i	$0.611034\pi$
$182$	−1.15352	+	4.06939i	−0.0855046	+	0.301643i
$183$	−9.10510	−	21.6174i	−0.673068	−	1.59800i
$184$	2.88788	−	0.625933i	0.212897	−	0.0461444i
$185$			7.56487i			0.556181i
$186$	−8.40576	+	1.01973i	−0.616340	+	0.0747705i
$187$			23.2996i			1.70384i
$188$	6.31149	+	3.92047i	0.460313	+	0.285930i
$189$	−8.58048	−	10.7413i	−0.624138	−	0.781314i
$190$	−24.3217	−	6.93902i	−1.76448	−	0.503410i
$191$	−9.10663			−0.658932			−0.329466	−	0.944167i	$-0.606869\pi$
$191$	−9.10663			−0.658932			−0.329466	+	0.944167i	$0.606869\pi$
$192$	−13.2296	+	4.12038i	−0.954764	+	0.297363i
$193$	−11.5357			−0.830356			−0.415178	−	0.909740i	$-0.636281\pi$
$193$	−11.5357			−0.830356			−0.415178	+	0.909740i	$0.636281\pi$
$194$	11.0950	−	10.7430i	0.796578	−	0.771303i
$195$	6.65157	−	2.80160i	0.476329	−	0.200626i
$196$	−0.403630	+	13.9942i	−0.0288307	+	0.999584i
$197$			12.9243i			0.920815i	0.887708	+	0.460408i	$0.152297\pi$
$197$			12.9243i			0.920815i	−0.887708	+	0.460408i	$0.847703\pi$
$198$	−13.1824	−	7.68545i	−0.936832	−	0.546181i
$199$	−9.22615	−	5.32672i	−0.654024	−	0.377601i	0.135972	−	0.990713i	$-0.456584\pi$
$199$	−9.22615	−	5.32672i	−0.654024	−	0.377601i	−0.789996	+	0.613112i	$0.789918\pi$
$200$	7.41366	−	23.1316i	0.524225	−	1.63565i
$201$	−5.53570	+	2.33160i	−0.390458	+	0.164458i
$202$	−10.0781	+	2.52704i	−0.709090	+	0.177802i
$203$	2.02906	+	3.50066i	0.142412	+	0.245698i
$204$	14.1247	−	17.4384i	0.988925	−	1.22093i
$205$	−3.33183			−0.232705
$206$	1.14848	+	1.18611i	0.0800181	+	0.0826402i
$207$	−0.847110	−	3.01753i	−0.0588782	−	0.209733i
$208$	2.50849	−	3.76216i	0.173933	−	0.260859i
$209$	−15.1119	−	8.72484i	−1.04531	−	0.603510i
$210$	19.0752	−	14.3817i	1.31631	−	0.992434i
$211$	−0.485988	+	0.280585i	−0.0334568	+	0.0193163i	−0.516635	−	0.856206i	$-0.672816\pi$
$211$	−0.485988	+	0.280585i	−0.0334568	+	0.0193163i	0.483178	+	0.875522i	$0.339482\pi$
$212$	1.06298	+	1.98637i	0.0730060	+	0.136425i
$213$	1.66348	+	3.94944i	0.113980	+	0.270611i
$214$	−5.22707	−	20.8461i	−0.357315	−	1.42501i
$215$	−12.2963	−	21.2978i	−0.838599	−	1.45250i
$216$	5.20721	+	13.7435i	0.354306	+	0.935130i
$217$	4.55943	−	7.92828i	0.309514	−	0.538207i
$218$	−13.5051	+	13.0766i	−0.914679	+	0.885658i
$219$	11.8199	+	1.48472i	0.798718	+	0.100328i
$220$	13.9911	−	22.5240i	0.943279	−	1.51857i
$221$			7.32322i			0.492613i
$222$	4.01903	−	3.01943i	0.269740	−	0.202651i
$223$	−13.4947	−	7.79117i	−0.903672	−	0.521735i	−0.0252823	−	0.999680i	$-0.508048\pi$
$223$	−13.4947	−	7.79117i	−0.903672	−	0.521735i	−0.878390	+	0.477945i	$0.841382\pi$
$224$	5.00094	−	14.1064i	0.334139	−	0.942524i
$225$	−24.9637	−	6.37199i	−1.66425	−	0.424799i
$226$	0.431785	−	0.108268i	0.0287219	−	0.00720191i
$227$	9.96283	+	17.2561i	0.661256	+	1.14533i	0.980286	+	0.197585i	$0.0633098\pi$
$227$	9.96283	+	17.2561i	0.661256	+	1.14533i	−0.319029	+	0.947745i	$0.603357\pi$
$228$	6.02121	+	15.6912i	0.398764	+	1.03917i
$229$	−5.23823	+	9.07287i	−0.346152	+	0.599552i	−0.985562	−	0.169313i	$-0.945845\pi$
$229$	−5.23823	+	9.07287i	−0.346152	+	0.599552i	0.639411	+	0.768865i	$0.279178\pi$
$230$	5.28269	−	1.32461i	0.348331	−	0.0873425i
$231$	15.1785	−	6.42351i	0.998672	−	0.422636i
$232$	−0.916268	−	4.22741i	−0.0601560	−	0.277543i
$233$	20.8229	−	12.0221i	1.36415	−	0.787595i	0.373981	−	0.927436i	$-0.377993\pi$
$233$	20.8229	−	12.0221i	1.36415	−	0.787595i	0.990174	+	0.139841i	$0.0446592\pi$
$234$	−4.14332	−	2.41559i	−0.270857	−	0.157912i
$235$	11.8595	+	6.84711i	0.773632	+	0.446656i
$236$	1.41951	+	0.881751i	0.0924024	+	0.0573971i
$237$	10.5687	−	4.45146i	0.686510	−	0.289153i
$238$	5.93537	+	23.5013i	0.384733	+	1.52336i
$239$	6.39090	+	11.0694i	0.413393	+	0.716017i	0.995258	−	0.0972677i	$-0.0310103\pi$
$239$	6.39090	+	11.0694i	0.413393	+	0.716017i	−0.581865	+	0.813285i	$0.697677\pi$
$240$	−24.1260	+	8.37624i	−1.55733	+	0.540684i
$241$	7.41032	+	12.8351i	0.477341	+	0.826778i	0.999663	−	0.0259699i	$-0.00826741\pi$
$241$	7.41032	+	12.8351i	0.477341	+	0.826778i	−0.522322	+	0.852748i	$0.674934\pi$
$242$	1.96659	−	1.90420i	0.126418	−	0.122406i
$243$	14.2183	−	6.39069i	0.912102	−	0.409963i
$244$	−23.0080	−	14.2917i	−1.47293	−	0.914933i
$245$	0.0878022	+	25.8032i	0.00560948	+	1.64851i
$246$	1.32986	+	1.77012i	0.0847888	+	0.112859i
$247$	−4.74976	−	2.74228i	−0.302220	−	0.174487i
$248$	−7.23969	+	6.57132i	−0.459721	+	0.417279i
$249$	−18.4867	−	2.32214i	−1.17155	−	0.147160i
$250$	5.13170	−	17.9869i	0.324557	−	1.13759i
$251$	−11.5264			−0.727542			−0.363771	−	0.931488i	$-0.618511\pi$
$251$	−11.5264			−0.727542			−0.363771	+	0.931488i	$0.618511\pi$
$252$	−15.2543	−	4.39387i	−0.960931	−	0.276788i
$253$	3.75748			0.236231
$254$	2.79535	−	9.79787i	0.175396	−	0.614773i
$255$	24.9837	−	32.9631i	1.56454	−	2.06423i
$256$	−9.71541	+	12.7126i	−0.607213	+	0.794539i
$257$	−15.0476	−	8.68772i	−0.938642	−	0.541925i	−0.0491076	−	0.998793i	$-0.515638\pi$
$257$	−15.0476	−	8.68772i	−0.938642	−	0.541925i	−0.889534	+	0.456868i	$0.848971\pi$
$258$	−6.40706	+	15.0335i	−0.398886	+	0.935943i
$259$	0.00923788	+	5.42965i	0.000574014	+	0.337382i
$260$	4.39749	−	7.07944i	0.272721	−	0.439048i
$261$	−4.41720	+	1.24004i	−0.273418	+	0.0767564i
$262$	14.2461	−	13.7941i	0.880129	−	0.852203i
$263$	5.80575	+	10.0558i	0.357998	+	0.620070i	0.987626	−	0.156826i	$-0.0501262\pi$
$263$	5.80575	+	10.0558i	0.357998	+	0.620070i	−0.629629	+	0.776896i	$0.716793\pi$
$264$	−17.5508	+	1.55707i	−1.08018	+	0.0958312i
$265$	2.07617	+	3.59603i	0.127538	+	0.220902i
$266$	−17.4653	−	4.95075i	−1.07086	−	0.303550i
$267$	24.9025	+	18.8743i	1.52401	+	1.15509i
$268$	−3.65977	+	5.89179i	−0.223556	+	0.359898i
$269$	14.3096	+	8.26163i	0.872469	+	0.503720i	0.868168	−	0.496271i	$-0.165298\pi$
$269$	14.3096	+	8.26163i	0.872469	+	0.503720i	0.00430110	+	0.999991i	$0.498631\pi$
$270$	10.4089	+	25.0082i	0.633463	+	1.52195i
$271$	−7.51182	+	4.33695i	−0.456310	+	0.263451i	−0.710492	−	0.703706i	$-0.751527\pi$
$271$	−7.51182	+	4.33695i	−0.456310	+	0.263451i	0.254181	+	0.967157i	$0.418194\pi$
$272$	1.66957	−	25.8590i	0.101232	−	1.56793i
$273$	4.77071	−	2.01895i	0.288736	−	0.122193i
$274$	25.6183	−	6.42367i	1.54766	−	0.388068i
$275$	15.4439	−	26.7497i	0.931304	−	1.61307i
$276$	−2.81226	−	2.27786i	−0.169278	−	0.137111i
$277$	9.02246	+	15.6274i	0.542107	+	0.938957i	0.998783	+	0.0493237i	$0.0157066\pi$
$277$	9.02246	+	15.6274i	0.542107	+	0.938957i	−0.456676	+	0.889633i	$0.650960\pi$
$278$	0.420110	−	0.105341i	0.0251965	−	0.00631792i
$279$	7.41961	+	7.24530i	0.444200	+	0.433765i
$280$	8.37441	−	26.2831i	0.500467	−	1.57071i
$281$	20.2561	+	11.6949i	1.20838	+	0.697658i	0.962405	−	0.271619i	$-0.0875589\pi$
$281$	20.2561	+	11.6949i	1.20838	+	0.697658i	0.245974	+	0.969276i	$0.420892\pi$
$282$	−1.09590	−	9.03363i	−0.0652601	−	0.537945i
$283$		−	12.4850i		−	0.742157i	−0.928602	−	0.371078i	$-0.878988\pi$
$283$		−	12.4850i		−	0.742157i	0.928602	−	0.371078i	$-0.121012\pi$
$284$	4.20350	+	2.61106i	0.249432	+	0.154938i
$285$	12.0241	+	28.5476i	0.712244	+	1.69101i
$286$	4.13077	−	3.99970i	0.244257	−	0.236507i
$287$	−2.39140	+	0.00406867i	−0.141160	+	0.000240166i
$288$	14.0797	+	9.47426i	0.829655	+	0.558276i
$289$	12.4835	+	21.6221i	0.734326	+	1.27189i
$290$	−1.93903	−	7.73304i	−0.113864	−	0.454100i
$291$	−18.7673	−	2.35738i	−1.10016	−	0.138192i
$292$	12.1283	−	6.49033i	0.709756	−	0.379818i
$293$	−3.37934	+	1.95106i	−0.197423	+	0.113982i	−0.595453	−	0.803390i	$-0.703027\pi$
$293$	−3.37934	+	1.95106i	−0.197423	+	0.113982i	0.398030	+	0.917373i	$0.369694\pi$
$294$	13.6736	−	10.3457i	0.797458	−	0.603374i
$295$	2.66732	+	1.53998i	0.155298	+	0.0896611i
$296$	1.77159	−	5.52759i	0.102971	−	0.321285i
$297$	2.76928	+	18.4823i	0.160690	+	1.07245i
$298$	9.62031	+	9.93555i	0.557289	+	0.575551i
$299$	1.18100			0.0682991
$300$	−27.7751	+	10.6582i	−1.60359	+	0.615351i
$301$	−8.85159	−	15.2713i	−0.510197	−	0.880226i
$302$	−31.8527	+	7.98693i	−1.83291	+	0.459596i
$303$	10.1414	+	7.68646i	0.582609	+	0.441576i
$304$	16.1467	+	10.7661i	0.926074	+	0.617478i
$305$	−43.2329	−	24.9605i	−2.47551	−	1.42923i
$306$	−27.4844	−	0.116344i	−1.57118	−	0.00665097i
$307$		−	5.13048i		−	0.292812i	−0.989225	−	0.146406i	$-0.953229\pi$
$307$		−	5.13048i		−	0.292812i	0.989225	−	0.146406i	$-0.0467706\pi$
$308$	10.0145	−	16.1836i	0.570631	−	0.922144i
$309$	0.252015	−	2.00631i	0.0143366	−	0.114135i
$310$	−12.9461	+	12.5354i	−0.735292	+	0.711962i
$311$	−5.75440			−0.326302			−0.163151	−	0.986601i	$-0.552166\pi$
$311$	−5.75440			−0.326302			−0.163151	+	0.986601i	$0.552166\pi$
$312$	−5.51634	+	0.489399i	−0.312301	+	0.0277067i
$313$	2.38124			0.134596			0.0672978	−	0.997733i	$-0.478562\pi$
$313$	2.38124			0.134596			0.0672978	+	0.997733i	$0.478562\pi$
$314$	8.74034	+	2.49363i	0.493246	+	0.140724i
$315$	−28.3616	−	7.18792i	−1.59799	−	0.404994i
$316$	6.98718	−	11.2485i	0.393060	−	0.632779i
$317$		−	11.0574i		−	0.621046i	−0.950566	−	0.310523i	$-0.899496\pi$
$317$		−	11.0574i		−	0.621046i	0.950566	−	0.310523i	$-0.100504\pi$
$318$	1.08180	−	2.53833i	0.0606644	−	0.142342i
$319$		−	5.50037i		−	0.307962i
$320$	−17.1419	+	23.9956i	−0.958263	+	1.34139i
$321$	−15.8991	+	20.9771i	−0.887404	+	1.17083i
$322$	3.79001	−	0.957186i	0.211209	−	0.0533419i
$323$	−31.4303			−1.74883
$324$	9.13165	−	15.5117i	0.507314	−	0.861761i
$325$	4.85413	−	8.40760i	0.269259	−	0.466370i
$326$	9.93711	−	2.49169i	0.550365	−	0.138002i
$327$	22.8439	+	2.86945i	1.26327	+	0.158681i
$328$	2.43454	+	0.780267i	0.134425	+	0.0430830i
$329$	8.52049	+	4.90000i	0.469750	+	0.270146i
$330$	−32.2386	+	3.91098i	−1.77467	+	0.215292i
$331$			9.44833i			0.519327i	0.965699	+	0.259664i	$0.0836117\pi$
$331$			9.44833i			0.519327i	−0.965699	+	0.259664i	$0.916388\pi$
$332$	−18.9690	+	10.1511i	−1.04106	+	0.557112i
$333$	−5.96539	−	1.52267i	−0.326901	−	0.0834416i
$334$	6.12509	+	24.4275i	0.335150	+	1.33661i
$335$	−6.39179	+	11.0709i	−0.349221	+	0.604868i
$336$	−17.3061	+	6.04147i	−0.944124	+	0.329589i
$337$	9.17654	+	15.8942i	0.499878	+	0.865814i	1.00000		0.000141125i	$-4.49213e-5\pi$
$337$	9.17654	+	15.8942i	0.499878	+	0.865814i	−0.500122	+	0.865955i	$0.666712\pi$
$338$	−11.9095	+	11.5316i	−0.647792	+	0.627239i
$339$	−0.434499	−	0.329319i	−0.0235988	−	0.0178862i
$340$	1.53939	−	47.7350i	0.0834851	−	2.58879i
$341$	−10.7671	+	6.21638i	−0.583071	+	0.336636i
$342$	10.3674	−	17.7825i	0.560603	−	0.961570i
$343$	0.0945293	+	18.5200i	0.00510410	+	0.999987i
$344$	3.99714	+	18.4417i	0.215512	+	0.994311i
$345$	−5.31590	−	4.02907i	−0.286198	−	0.216918i
$346$	3.42530	−	12.0059i	0.184145	−	0.645440i
$347$	−33.8066			−1.81483			−0.907416	−	0.420233i	$-0.861948\pi$
$347$	−33.8066			−1.81483			−0.907416	+	0.420233i	$0.861948\pi$
$348$	−3.33443	+	4.11672i	−0.178744	+	0.220679i
$349$	−7.41378	+	12.8410i	−0.396851	+	0.687365i	−0.993335	−	0.115259i	$-0.963230\pi$
$349$	−7.41378	+	12.8410i	−0.396851	+	0.687365i	0.596485	+	0.802624i	$0.296564\pi$
$350$	8.76337	−	30.9154i	0.468422	−	1.65250i
$351$	0.870404	+	5.80910i	0.0464587	+	0.310067i
$352$	−15.4980	+	13.1816i	−0.826045	+	0.702580i
$353$	22.0009	−	12.7022i	1.17099	−	0.676071i	0.217077	−	0.976155i	$-0.430348\pi$
$353$	22.0009	−	12.7022i	1.17099	−	0.676071i	0.953913	+	0.300083i	$0.0970144\pi$
$354$	−0.246479	−	2.03175i	−0.0131002	−	0.107986i
$355$	7.89854	+	4.56022i	0.419211	+	0.242032i
$356$	36.0622	+	1.16296i	1.91129	+	0.0616366i
$357$	17.8916	−	23.6896i	0.946926	−	1.25379i
$358$	−13.0940	+	12.6786i	−0.692041	+	0.670084i
$359$	7.27219	+	12.5958i	0.383811	+	0.664781i	0.991604	−	0.129315i	$-0.0412780\pi$
$359$	7.27219	+	12.5958i	0.383811	+	0.664781i	−0.607792	+	0.794096i	$0.707945\pi$
$360$	26.4996	+	16.6165i	1.39665	+	0.875766i
$361$	2.26947	−	3.93084i	0.119446	−	0.206886i
$362$	12.5070	+	3.56827i	0.657353	+	0.187544i
$363$	−3.32650	−	0.417846i	−0.174596	−	0.0219312i
$364$	3.14763	−	5.08660i	0.164981	−	0.266610i
$365$	21.9565	−	12.6766i	1.14926	−	0.663523i
$366$	3.99501	+	32.9313i	0.208823	+	1.72134i
$367$	12.4958	−	7.21446i	0.652276	−	0.376592i	−0.137052	−	0.990564i	$-0.543763\pi$
$367$	12.4958	−	7.21446i	0.652276	−	0.376592i	0.789328	+	0.613972i	$0.210429\pi$
$368$	−4.17023	−	0.269248i	−0.217388	−	0.0140355i
$369$	0.670633	−	2.62736i	0.0349118	−	0.136775i
$370$	2.93514	−	10.2878i	0.152591	−	0.534839i
$371$	1.49455	+	2.57849i	0.0775931	+	0.133869i
$372$	11.8270	+	1.87461i	0.613204	+	0.0971940i
$373$	−0.658883	+	1.14122i	−0.0341157	+	0.0590901i	−0.882579	−	0.470164i	$-0.844195\pi$
$373$	−0.658883	+	1.14122i	−0.0341157	+	0.0590901i	0.848463	+	0.529254i	$0.177528\pi$
$374$	9.04014	−	31.6863i	0.467455	−	1.63846i
$375$	−21.1122	+	8.89230i	−1.09023	+	0.459196i
$376$	−7.06217	−	7.78047i	−0.364204	−	0.401247i
$377$		−	1.72880i		−	0.0890379i
$378$	7.50144	+	17.9368i	0.385833	+	0.922569i
$379$			19.4758i			1.00041i	0.865908	+	0.500203i	$0.166741\pi$
$379$			19.4758i			1.00041i	−0.865908	+	0.500203i	$0.833259\pi$
$380$	30.3840	+	18.8734i	1.55866	+	0.968187i
$381$	−11.5002	+	4.84382i	−0.589175	+	0.248157i
$382$	12.3845	+	3.53333i	0.633648	+	0.180781i
$383$	−1.15780	+	2.00538i	−0.0591611	+	0.102470i	−0.894089	−	0.447889i	$-0.852176\pi$
$383$	−1.15780	+	2.00538i	−0.0591611	+	0.102470i	0.834928	+	0.550359i	$0.185509\pi$
$384$	19.5903	−	0.470480i	0.999712	−	0.0240091i
$385$	17.4867	−	30.4073i	0.891207	−	1.54970i
$386$	15.6879	+	4.47579i	0.798494	+	0.227812i
$387$	19.2697	−	5.40956i	0.979532	−	0.274984i
$388$	−19.2569	+	10.3051i	−0.977622	+	0.523163i
$389$	−0.391507	+	0.226037i	−0.0198502	+	0.0114605i	−0.509892	−	0.860238i	$-0.670315\pi$
$389$	−0.391507	+	0.226037i	−0.0198502	+	0.0114605i	0.490042	+	0.871699i	$0.336981\pi$
$390$	−10.1328	+	1.22925i	−0.513094	+	0.0622453i
$391$	5.86122	−	3.38398i	0.296415	−	0.171135i
$392$	5.97859	−	18.8748i	0.301965	−	0.953319i
$393$	−24.0974	−	3.02690i	−1.21555	−	0.152687i
$394$	5.01455	−	17.5763i	0.252630	−	0.885482i
$395$	12.2031	−	21.1364i	0.614006	−	1.06349i
$396$	14.9455	+	15.5665i	0.751038	+	0.782247i
$397$	−14.3892	−	24.9228i	−0.722174	−	1.25084i	−0.960127	−	0.279565i	$-0.909810\pi$
$397$	−14.3892	−	24.9228i	−0.722174	−	1.25084i	0.237953	−	0.971277i	$-0.423524\pi$
$398$	10.4803	+	10.8238i	0.525332	+	0.542546i
$399$	8.66507	+	20.4752i	0.433796	+	1.02504i
$400$	−19.0572	+	28.5813i	−0.952858	+	1.42907i
$401$	10.2380	+	5.91088i	0.511259	+	0.295176i	0.733351	−	0.679850i	$-0.237955\pi$
$401$	10.2380	+	5.91088i	0.511259	+	0.295176i	−0.222092	+	0.975026i	$0.571289\pi$
$402$	8.43291	−	1.02303i	0.420595	−	0.0510240i
$403$	−3.38417	+	1.95385i	−0.168577	+	0.0973282i
$404$	14.6861	+	0.473608i	0.730662	+	0.0235629i
$405$	15.9003	−	29.1172i	0.790091	−	1.44685i
$406$	−1.40117	−	5.54798i	−0.0695390	−	0.275342i
$407$	3.69052	−	6.39217i	0.182932	−	0.316848i
$408$	−25.9749	+	18.2351i	−1.28595	+	0.902769i
$409$	−35.8514			−1.77274			−0.886369	−	0.462979i	$-0.846780\pi$
$409$	−35.8514			−1.77274			−0.886369	+	0.462979i	$0.846780\pi$
$410$	4.53111	+	1.29273i	0.223776	+	0.0638436i
$411$	−25.7793	−	19.5388i	−1.27160	−	0.963780i
$412$	−1.10166	−	2.05865i	−0.0542750	−	0.101422i
$413$	1.91634	+	1.10206i	0.0942968	+	0.0542286i
$414$	−0.0187627	+	4.43236i	−0.000922134	+	0.217839i
$415$	−34.3406	+	19.8266i	−1.68571	+	0.973247i
$416$	−4.87112	+	4.14305i	−0.238826	+	0.203130i
$417$	−0.422751	−	0.320414i	−0.0207022	−	0.0156908i
$418$	17.1662	+	17.7287i	0.839624	+	0.867138i
$419$	−12.3927	−	21.4647i	−0.605421	−	1.04862i	−0.991985	−	0.126357i	$-0.959671\pi$
$419$	−12.3927	−	21.4647i	−0.605421	−	1.04862i	0.386564	−	0.922263i	$-0.373662\pi$
$420$	−31.5213	+	12.1573i	−1.53808	+	0.593217i
$421$	−12.5570	+	21.7493i	−0.611990	+	1.06000i	0.378914	+	0.925432i	$0.376297\pi$
$421$	−12.5570	+	21.7493i	−0.611990	+	1.06000i	−0.990905	+	0.134566i	$0.957036\pi$
$422$	0.769784	−	0.193020i	0.0374725	−	0.00939608i
$423$	−7.78649	+	7.97382i	−0.378592	+	0.387700i
$424$	−0.674899	−	3.11379i	−0.0327760	−	0.151219i
$425$		−	55.6350i		−	2.69869i
$426$	−0.729879	−	6.01646i	−0.0353628	−	0.291499i
$427$	−31.0607	−	17.8625i	−1.50313	−	0.864426i
$428$	−0.979639	+	30.3777i	−0.0473526	+	1.46836i
$429$	−6.98720	−	0.877671i	−0.337345	−	0.0423744i
$430$	8.45886	+	33.7348i	0.407922	+	1.62683i
$431$	−3.15851	+	5.47070i	−0.152140	+	0.263514i	−0.932014	−	0.362422i	$-0.881950\pi$
$431$	−3.15851	+	5.47070i	−0.152140	+	0.263514i	0.779874	+	0.625937i	$0.215283\pi$
$432$	−1.74910	−	20.7109i	−0.0841536	−	0.996453i
$433$	27.4268			1.31805			0.659024	−	0.752122i	$-0.270969\pi$
$433$	27.4268			1.31805			0.659024	+	0.752122i	$0.270969\pi$
$434$	−9.27672	+	9.01302i	−0.445297	+	0.432639i
$435$	−5.89793	+	7.78165i	−0.282784	+	0.373102i
$436$	23.4399	−	12.5436i	1.12257	−	0.600728i
$437$			5.06870i			0.242469i
$438$	−15.4984	−	6.60523i	−0.740544	−	0.315610i
$439$		−	5.09892i		−	0.243358i	−0.992569	−	0.121679i	$-0.961172\pi$
$439$		−	5.09892i		−	0.243358i	0.992569	−	0.121679i	$-0.0388279\pi$
$440$	−27.7664	+	25.2030i	−1.32371	+	1.20150i
$441$	−20.3652	−	5.12446i	−0.969770	−	0.244022i
$442$	2.84138	−	9.95920i	0.135151	−	0.473711i
$443$	3.95739			0.188021			0.0940106	−	0.995571i	$-0.470031\pi$
$443$	3.95739			0.188021			0.0940106	+	0.995571i	$0.470031\pi$
$444$	−6.63720	+	2.54691i	−0.314988	+	0.120871i
$445$	66.5007			3.15244
$446$	15.3292	+	15.8315i	0.725857	+	0.749642i
$447$	2.11102	−	16.8060i	0.0998480	−	0.794897i
$448$	−12.2742	+	17.2436i	−0.579903	+	0.814685i
$449$			5.92979i			0.279844i	0.990163	+	0.139922i	$0.0446852\pi$
$449$			5.92979i			0.279844i	−0.990163	+	0.139922i	$0.955315\pi$
$450$	31.4770	+	18.3514i	1.48384	+	0.865092i
$451$	2.81533	+	1.62543i	0.132569	+	0.0765385i
$452$	−0.629213	−	0.0202913i	−0.0295957	−	0.000954421i
$453$	32.0529	+	24.2938i	1.50598	+	1.14142i
$454$	−6.85364	−	27.3330i	−0.321657	−	1.28280i
$455$	5.49620	−	9.55722i	0.257666	−	0.448049i
$456$	−2.10043	−	23.6754i	−0.0983617	−	1.10870i
$457$	−30.7269			−1.43734			−0.718671	−	0.695350i	$-0.755249\pi$
$457$	−30.7269			−1.43734			−0.718671	+	0.695350i	$0.755249\pi$
$458$	10.6440	−	10.3062i	0.497359	−	0.481579i
$459$	20.9648	+	26.3361i	0.978553	+	1.22926i
$460$	−7.69814	−	0.248254i	−0.358927	−	0.0115749i
$461$	−9.98931	−	5.76733i	−0.465248	−	0.268611i	0.249000	−	0.968503i	$-0.419898\pi$
$461$	−9.98931	−	5.76733i	−0.465248	−	0.268611i	−0.714249	+	0.699892i	$0.753231\pi$
$462$	−23.1343	+	2.84645i	−1.07630	+	0.132429i
$463$	33.1945	−	19.1649i	1.54268	−	0.890667i	0.544011	−	0.839078i	$-0.316905\pi$
$463$	33.1945	−	19.1649i	1.54268	−	0.890667i	0.998668	−	0.0515888i	$-0.0164285\pi$
$464$	−0.394138	+	6.10456i	−0.0182974	+	0.283397i
$465$	21.8984	+	2.75069i	1.01552	+	0.127560i
$466$	−32.9826	+	8.27026i	−1.52789	+	0.383112i
$467$	−1.92182	−	3.32869i	−0.0889313	−	0.154033i	0.818128	−	0.575036i	$-0.195012\pi$
$467$	−1.92182	−	3.32869i	−0.0889313	−	0.154033i	−0.907060	+	0.421002i	$0.861678\pi$
$468$	4.69746	+	4.89266i	0.217140	+	0.226163i
$469$	−4.57416	+	7.95389i	−0.211215	+	0.367277i
$470$	−13.4717	−	13.9132i	−0.621404	−	0.641767i
$471$	−4.32101	−	10.2590i	−0.199102	−	0.472709i
$472$	−1.58835	−	1.74990i	−0.0731097	−	0.0805457i
$473$			23.9949i			1.10329i
$474$	−16.1000	+	1.95315i	−0.739498	+	0.0897112i
$475$	36.0843	+	20.8333i	1.65566	+	0.955895i
$476$	1.04660	−	34.2634i	0.0479707	−	1.57046i
$477$	−3.25359	+	0.913379i	−0.148972	+	0.0418207i
$478$	−4.39643	−	17.5334i	−0.201088	−	0.801959i
$479$	−15.7732	−	27.3199i	−0.720695	−	1.24828i	−0.960722	−	0.277514i	$-0.910490\pi$
$479$	−15.7732	−	27.3199i	−0.720695	−	1.24828i	0.240027	−	0.970766i	$-0.422844\pi$
$480$	36.0601	−	2.03048i	1.64591	−	0.0926783i
$481$	1.15996	−	2.00910i	0.0528894	−	0.0916071i
$482$	−5.09771	−	20.3302i	−0.232194	−	0.926014i
$483$	−3.82038	−	2.88535i	−0.173833	−	0.131288i
$484$	−3.41329	+	1.82658i	−0.155149	+	0.0830264i
$485$	−34.8618	+	20.1274i	−1.58299	+	0.913940i
$486$	−21.8157	+	3.17438i	−0.989579	+	0.143993i
$487$	−0.788735	−	0.455376i	−0.0357410	−	0.0206351i	0.482023	−	0.876159i	$-0.339902\pi$
$487$	−0.788735	−	0.455376i	−0.0357410	−	0.0206351i	−0.517764	+	0.855523i	$0.673235\pi$
$488$	25.7445	+	28.3630i	1.16540	+	1.28393i
$489$	−9.99957	−	7.57895i	−0.452196	−	0.342732i
$490$	9.89212	−	35.1251i	0.446881	−	1.58679i
$491$	5.42838	+	9.40224i	0.244980	+	0.424317i	0.962126	−	0.272606i	$-0.0878854\pi$
$491$	5.42838	+	9.40224i	0.244980	+	0.424317i	−0.717146	+	0.696923i	$0.754552\pi$
$492$	−1.12174	−	2.92325i	−0.0505722	−	0.131790i
$493$	−4.95362	−	8.57992i	−0.223100	−	0.386420i
$494$	5.39544	+	5.57224i	0.242752	+	0.250707i
$495$	28.4564	+	27.7878i	1.27902	+	1.24897i
$496$	12.3953	−	6.12769i	0.556563	−	0.275142i
$497$	5.67471	+	3.26343i	0.254545	+	0.146385i
$498$	24.2400	+	10.3308i	1.08622	+	0.462933i
$499$	8.57499	+	4.95078i	0.383869	+	0.221627i	0.679500	−	0.733675i	$-0.262197\pi$
$499$	8.57499	+	4.95078i	0.383869	+	0.221627i	−0.295631	+	0.955302i	$0.595530\pi$
$500$	−13.9577	+	22.4702i	−0.624207	+	1.00490i
$501$	18.6306	−	24.5810i	0.832355	−	1.09820i
$502$	15.6753	+	4.47220i	0.699625	+	0.199604i
$503$	−7.43095			−0.331330			−0.165665	−	0.986182i	$-0.552977\pi$
$503$	−7.43095			−0.331330			−0.165665	+	0.986182i	$0.552977\pi$
$504$	19.0403	+	11.8940i	0.848121	+	0.529803i
$505$	27.0820			1.20513
$506$	−5.10998	−	1.45789i	−0.227166	−	0.0648110i
$507$	20.1450	+	2.53044i	0.894670	+	0.112381i
$508$	−7.60306	+	12.2400i	−0.337331	+	0.543063i
$509$	−27.9418	−	16.1322i	−1.23850	−	0.715048i	−0.269712	−	0.962941i	$-0.586929\pi$
$509$	−27.9418	−	16.1322i	−1.23850	−	0.715048i	−0.968788	+	0.247893i	$0.920262\pi$
$510$	−46.7660	+	35.1346i	−2.07083	+	1.55579i
$511$	15.7437	−	9.12537i	0.696460	−	0.403683i
$512$	18.1449	−	13.5190i	0.801899	−	0.597460i
$513$	−24.9318	+	3.73565i	−1.10077	+	0.164933i
$514$	17.0931	+	17.6532i	0.753945	+	0.778651i
$515$	−2.15171	−	3.72688i	−0.0948158	−	0.164226i
$516$	14.5462	−	17.9588i	0.640360	−	0.790593i
$517$	−6.68072	−	11.5713i	−0.293818	−	0.508907i
$518$	2.09412	−	7.38763i	0.0920102	−	0.324594i
$519$	−14.0919	+	5.93541i	−0.618566	+	0.260536i
$520$	−8.72715	+	7.92146i	−0.382711	+	0.347379i
$521$	2.39057	+	1.38020i	0.104733	+	0.0604675i	0.551452	−	0.834207i	$-0.314074\pi$
$521$	2.39057	+	1.38020i	0.104733	+	0.0604675i	−0.446719	+	0.894674i	$0.647408\pi$
$522$	6.48829	+	0.0274656i	0.283985	+	0.00120214i
$523$	30.8196	−	17.7937i	1.34765	−	0.778065i	0.359732	−	0.933056i	$-0.382868\pi$
$523$	30.8196	−	17.7937i	1.34765	−	0.778065i	0.987916	+	0.154991i	$0.0495348\pi$
$524$	−24.7261	+	13.2319i	−1.08016	+	0.578036i
$525$	−36.2434	+	15.3381i	−1.58179	+	0.669410i
$526$	−3.99389	−	15.9280i	−0.174142	−	0.694496i
$527$	−11.1969	+	19.3936i	−0.487745	+	0.844799i
$528$	24.4723	+	4.69210i	1.06502	+	0.204197i
$529$	10.9543	+	18.9734i	0.476273	+	0.824929i
$530$	−1.42824	−	5.69595i	−0.0620387	−	0.247416i
$531$	−1.75125	+	1.79339i	−0.0759980	+	0.0778264i
$532$	21.8310	+	13.5092i	0.946493	+	0.585698i
$533$	0.884876	+	0.510883i	0.0383282	+	0.0221288i
$534$	−26.5430	−	35.3302i	−1.14863	−	1.52889i
$535$			56.0181i			2.42187i
$536$	7.26308	−	6.59255i	0.313717	−	0.284755i
$537$	22.1486	+	2.78211i	0.955782	+	0.120057i
$538$	−16.2548	−	16.7874i	−0.700793	−	0.723757i
$539$	12.5139	−	21.8460i	0.539012	−	0.940975i
$540$	−4.45245	−	38.0484i	−0.191603	−	1.63734i
$541$	−8.40724	−	14.5618i	−0.361455	−	0.626059i	0.626745	−	0.779224i	$-0.284387\pi$
$541$	−8.40724	−	14.5618i	−0.361455	−	0.626059i	−0.988201	+	0.153165i	$0.951053\pi$
$542$	11.8984	−	2.98348i	0.511080	−	0.128151i
$543$	−6.18315	−	14.6801i	−0.265345	−	0.629983i
$544$	−12.3037	+	34.5191i	−0.527516	+	1.47999i
$545$	42.4343	−	24.4995i	1.81769	−	1.04944i
$546$	−7.27126	+	0.894659i	−0.311181	+	0.0382879i
$547$	−24.7313	−	14.2786i	−1.05743	−	0.610509i	−0.132712	−	0.991155i	$-0.542369\pi$
$547$	−24.7313	−	14.2786i	−1.05743	−	0.610509i	−0.924721	+	0.380645i	$0.875702\pi$
$548$	−37.3319	−	1.20390i	−1.59474	−	0.0514281i
$549$	28.3849	−	29.0678i	1.21144	−	1.24058i
$550$	−31.3817	+	30.3860i	−1.33812	+	1.29566i
$551$	7.41979			0.316094
$552$	2.94073	+	4.18892i	0.125166	+	0.178292i
$553$	8.73292	−	15.1855i	0.371362	−	0.645752i
$554$	−6.20673	−	24.7531i	−0.263699	−	1.05166i
$555$	−12.0753	+	5.08606i	−0.512570	+	0.215891i
$556$	−0.612199	−	0.0197426i	−0.0259630	−	0.000837273i
$557$	−25.4527	−	14.6951i	−1.07847	−	0.622652i	−0.147983	−	0.988990i	$-0.547278\pi$
$557$	−25.4527	−	14.6951i	−1.07847	−	0.622652i	−0.930482	+	0.366338i	$0.880612\pi$
$558$	−7.27914	−	12.7320i	−0.308151	−	0.538989i
$559$			7.54176i			0.318983i
$560$	−21.5865	+	32.4944i	−0.912195	+	1.37314i
$561$	−37.1917	+	15.6649i	−1.57024	+	0.661373i
$562$	−23.0097	−	23.7637i	−0.970606	−	1.00241i
$563$	−17.2010			−0.724937			−0.362469	−	0.931996i	$-0.618066\pi$
$563$	−17.2010			−0.724937			−0.362469	+	0.931996i	$0.618066\pi$
$564$	−2.01464	+	12.7105i	−0.0848315	+	0.535208i
$565$	−1.16030			−0.0488144
$566$	−4.84413	+	16.9790i	−0.203614	+	0.713679i
$567$	11.3768	−	20.9181i	0.477780	−	0.878479i
$568$	−4.70346	−	5.18185i	−0.197353	−	0.217425i
$569$			0.765439i			0.0320889i	0.999871	+	0.0160444i	$0.00510732\pi$
$569$			0.765439i			0.0320889i	−0.999871	+	0.0160444i	$0.994893\pi$
$570$	−5.27576	−	43.4885i	−0.220977	−	1.82153i
$571$		−	1.65866i		−	0.0694127i	−0.999398	−	0.0347064i	$-0.988950\pi$
$571$		−	1.65866i		−	0.0694127i	0.999398	−	0.0347064i	$-0.0110496\pi$
$572$	−7.16949	+	3.83667i	−0.299772	+	0.160419i
$573$	−6.12261	−	14.5364i	−0.255776	−	0.607265i
$574$	3.25376	+	0.922320i	0.135809	+	0.0384969i
$575$	−8.97215			−0.374165
$576$	−15.4717	−	18.3474i	−0.644655	−	0.764474i
$577$	−5.33017	+	9.23213i	−0.221898	+	0.384339i	−0.955384	−	0.295366i	$-0.904559\pi$
$577$	−5.33017	+	9.23213i	−0.221898	+	0.384339i	0.733486	+	0.679704i	$0.237892\pi$
$578$	−8.58768	−	34.2485i	−0.357201	−	1.42455i
$579$	−7.75572	−	18.4137i	−0.322317	−	0.765247i
$580$	−0.363406	+	11.2689i	−0.0150896	+	0.467915i
$581$	−24.6236	+	14.2723i	−1.02156	+	0.592117i
$582$	24.6079	+	10.4875i	1.02003	+	0.434723i
$583$		−	4.05143i		−	0.167793i
$584$	−19.0121	+	4.12077i	−0.786727	+	0.170519i
$585$	8.94403	+	8.73391i	0.369790	+	0.361103i
$586$	5.35274	−	1.34218i	0.221119	−	0.0554448i
$587$	−17.4777	+	30.2723i	−0.721383	+	1.24947i	0.239062	+	0.971004i	$0.423160\pi$
$587$	−17.4777	+	30.2723i	−0.721383	+	1.24947i	−0.960445	+	0.278468i	$0.910173\pi$
$588$	−22.6094	+	8.76435i	−0.932397	+	0.361436i
$589$	−8.38566	−	14.5244i	−0.345525	−	0.598467i
$590$	−3.02992	−	3.12920i	−0.124740	−	0.128827i
$591$	−20.6302	+	8.68930i	−0.848613	+	0.357430i
$592$	−4.55395	+	6.82987i	−0.187166	+	0.280706i
$593$	10.4609	−	6.03961i	0.429578	−	0.248017i	−0.269589	−	0.962976i	$-0.586888\pi$
$593$	10.4609	−	6.03961i	0.429578	−	0.248017i	0.699167	+	0.714958i	$0.253554\pi$
$594$	3.40495	−	26.2094i	0.139707	−	1.07538i
$595$	−0.107493	−	63.1802i	−0.00440680	−	2.59014i
$596$	−9.22817	−	17.2445i	−0.378001	−	0.706361i
$597$	2.29975	−	18.3084i	0.0941223	−	0.749314i
$598$	−1.60610	−	0.458224i	−0.0656784	−	0.0187382i
$599$	26.2805			1.07379			0.536895	−	0.843649i	$-0.319597\pi$
$599$	26.2805			1.07379			0.536895	+	0.843649i	$0.319597\pi$
$600$	41.9080	−	3.71799i	1.71089	−	0.151786i
$601$	4.09157	−	7.08681i	0.166899	−	0.289077i	−0.770429	−	0.637525i	$-0.779958\pi$
$601$	4.09157	−	7.08681i	0.166899	−	0.289077i	0.937328	+	0.348449i	$0.113291\pi$
$602$	6.11250	+	24.2026i	0.249127	+	0.986425i
$603$	−7.44357	−	7.26870i	−0.303126	−	0.296004i
$604$	46.4169	+	1.49688i	1.88868	+	0.0609072i
$605$	−6.17924	+	3.56759i	−0.251222	+	0.145043i
$606$	−10.8095	−	14.3880i	−0.439106	−	0.584473i
$607$	−36.8640	−	21.2834i	−1.49626	−	0.863869i	−0.496273	−	0.868166i	$-0.665299\pi$
$607$	−36.8640	−	21.2834i	−1.49626	−	0.863869i	−0.999991	+	0.00429768i	$0.998632\pi$
$608$	−17.7814	−	20.9062i	−0.721132	−	0.847857i
$609$	−4.22371	+	5.59244i	−0.171153	+	0.226617i
$610$	49.1099	+	50.7192i	1.98840	+	2.05356i
$611$	−2.09980	−	3.63695i	−0.0849486	−	0.147135i
$612$	37.3323	+	10.8221i	1.50907	+	0.437456i
$613$	−23.0509	+	39.9254i	−0.931018	+	1.61257i	−0.149433	+	0.988772i	$0.547745\pi$
$613$	−23.0509	+	39.9254i	−0.931018	+	1.61257i	−0.781585	+	0.623799i	$0.785588\pi$
$614$	−1.99061	+	6.97719i	−0.0803343	+	0.281577i
$615$	−2.24007	−	5.31839i	−0.0903284	−	0.214458i
$616$	−19.8984	+	18.1232i	−0.801729	+	0.730205i
$617$	−19.9837	+	11.5376i	−0.804515	+	0.464487i	−0.845047	−	0.534691i	$-0.820428\pi$
$617$	−19.9837	+	11.5376i	−0.804515	+	0.464487i	0.0405327	+	0.999178i	$0.487095\pi$
$618$	−1.12117	+	2.63069i	−0.0450999	+	0.105822i
$619$	−19.1629	+	11.0637i	−0.770222	+	0.444688i	−0.832954	−	0.553343i	$-0.813352\pi$
$619$	−19.1629	+	11.0637i	−0.770222	+	0.444688i	0.0627318	+	0.998030i	$0.480019\pi$
$620$	22.4698	−	12.0244i	0.902407	−	0.482913i
$621$	4.24717	−	3.38095i	0.170433	−	0.135673i
$622$	7.82568	+	2.23268i	0.313781	+	0.0895223i
$623$	47.7306	−	0.0812077i	1.91228	−	0.00325352i
$624$	7.69182	+	1.47476i	0.307919	+	0.0590376i
$625$	−2.90707	+	5.03519i	−0.116283	+	0.201407i
$626$	−3.23836	−	0.923909i	−0.129431	−	0.0369268i
$627$	3.76684	−	29.9881i	0.150433	−	1.19761i
$628$	−10.9189	−	6.78243i	−0.435711	−	0.270648i
$629$		−	13.2947i		−	0.530094i
$630$	35.7814	+	20.7794i	1.42557	+	0.827870i
$631$		−	45.8081i		−	1.82359i	−0.410642	−	0.911797i	$-0.634695\pi$
$631$		−	45.8081i		−	1.82359i	0.410642	−	0.911797i	$-0.365305\pi$
$632$	−13.8666	+	12.5864i	−0.551583	+	0.500661i
$633$	−0.774623	−	0.587108i	−0.0307885	−	0.0233355i
$634$	−4.29022	+	15.0375i	−0.170387	+	0.597216i
$635$	−13.2788	+	22.9995i	−0.526951	+	0.912706i
$636$	−2.45605	+	3.03226i	−0.0973888	+	0.120237i
$637$	3.93320	−	6.86636i	0.155839	−	0.272055i
$638$	−2.13412	+	7.48022i	−0.0844906	+	0.296145i
$639$	−5.18586	+	5.31062i	−0.205149	+	0.210085i
$640$	32.6223	−	25.9818i	1.28951	−	1.02702i
$641$	1.63602	−	0.944559i	0.0646191	−	0.0373078i	−0.467342	−	0.884076i	$-0.654788\pi$
$641$	1.63602	−	0.944559i	0.0646191	−	0.0373078i	0.531961	+	0.846769i	$0.321455\pi$
$642$	29.7610	−	22.3590i	1.17457	−	0.882439i
$643$	−13.3963	+	7.73434i	−0.528297	+	0.305013i	−0.740323	−	0.672251i	$-0.765327\pi$
$643$	−13.3963	+	7.73434i	−0.528297	+	0.305013i	0.212025	+	0.977264i	$0.431994\pi$
$644$	−5.52560	−	0.168783i	−0.217739	−	0.00665097i
$645$	25.7292	−	33.9468i	1.01309	−	1.33665i
$646$	42.7435	+	12.1948i	1.68172	+	0.479798i
$647$	−3.68660	+	6.38537i	−0.144935	+	0.251035i	−0.929349	−	0.369203i	$-0.879631\pi$
$647$	−3.68660	+	6.38537i	−0.144935	+	0.251035i	0.784414	+	0.620238i	$0.212964\pi$
$648$	−18.4370	+	17.5521i	−0.724275	+	0.689511i
$649$	−1.50256	−	2.60250i	−0.0589805	−	0.102157i
$650$	−9.86348	+	9.55052i	−0.386877	+	0.374602i
$651$	15.7208	+	1.94755i	0.616149	+	0.0763306i
$652$	−14.4807	−	0.466983i	−0.567109	−	0.0182885i
$653$	43.2008	+	24.9420i	1.69058	+	0.976055i	0.954050	+	0.299648i	$0.0968693\pi$
$653$	43.2008	+	24.9420i	1.69058	+	0.976055i	0.736528	+	0.676407i	$0.236464\pi$
$654$	−29.9532	−	12.7656i	−1.17126	−	0.499175i
$655$	−44.7628	+	25.8438i	−1.74903	+	1.00980i
$656$	−3.00811	−	2.00571i	−0.117447	−	0.0783099i
$657$	5.57688	+	19.8657i	0.217575	+	0.775033i
$658$	−9.68625	−	9.96966i	−0.377609	−	0.388658i
$659$	10.8898	−	18.8616i	0.424205	−	0.734745i	−0.572141	−	0.820155i	$-0.693887\pi$
$659$	10.8898	−	18.8616i	0.424205	−	0.734745i	0.996346	+	0.0854106i	$0.0272202\pi$
$660$	45.3602	+	7.18968i	1.76564	+	0.279858i
$661$	−7.83210			−0.304634			−0.152317	−	0.988332i	$-0.548673\pi$
$661$	−7.83210			−0.304634			−0.152317	+	0.988332i	$0.548673\pi$
$662$	3.66591	−	12.8492i	0.142480	−	0.499400i
$663$	−11.6896	+	4.92359i	−0.453987	+	0.191216i
$664$	29.7355	−	6.44501i	1.15396	−	0.250115i
$665$	41.0183	+	23.5889i	1.59062	+	0.914740i
$666$	7.52183	+	4.38529i	0.291465	+	0.169927i
$667$	−1.38367	+	0.798860i	−0.0535758	+	0.0309320i
$668$	1.14794	−	35.5966i	0.0444152	−	1.37727i
$669$	3.36374	−	26.7790i	0.130050	−	1.03533i
$670$	12.9880	−	12.5759i	0.501769	−	0.485848i
$671$	24.3539	+	42.1823i	0.940174	+	1.62843i
$672$	25.8794	−	1.50140i	0.998321	−	0.0579178i
$673$	14.7309	−	25.5146i	0.567833	−	0.983516i	−0.428947	−	0.903330i	$-0.641115\pi$
$673$	14.7309	−	25.5146i	0.567833	−	0.983516i	0.996780	−	0.0801864i	$-0.0255515\pi$
$674$	−6.31273	−	25.1758i	−0.243157	−	0.969735i
$675$	−6.61251	−	44.1321i	−0.254516	−	1.69864i
$676$	20.6706	−	11.0616i	0.795021	−	0.425446i
$677$			23.3331i			0.896764i	0.893842	+	0.448382i	$0.148000\pi$
$677$			23.3331i			0.896764i	−0.893842	+	0.448382i	$0.852000\pi$
$678$	0.463122	+	0.616441i	0.0177861	+	0.0236743i
$679$	−24.9973	+	14.4889i	−0.959307	+	0.556035i
$680$	−20.6145	+	64.3199i	−0.790528	+	2.46655i
$681$	−20.8466	+	27.5048i	−0.798845	+	1.05399i
$682$	17.0546	−	4.27638i	0.653055	−	0.163751i
$683$	−5.29091	+	9.16412i	−0.202451	+	0.350655i	−0.949318	−	0.314319i	$-0.898224\pi$
$683$	−5.29091	+	9.16412i	−0.202451	+	0.350655i	0.746867	+	0.664974i	$0.231557\pi$
$684$	−20.9986	+	20.1608i	−0.802903	+	0.770869i
$685$	−68.8420			−2.63032
$686$	7.05713	−	25.2229i	0.269442	−	0.963017i
$687$	−18.0043	−	2.26154i	−0.686906	−	0.0862831i
$688$	1.71939	−	26.6307i	0.0655512	−	1.01528i
$689$		−	1.27339i		−	0.0485123i
$690$	5.66609	+	7.54187i	0.215704	+	0.287114i
$691$			12.3492i			0.469786i	0.972021	+	0.234893i	$0.0754740\pi$
$691$			12.3492i			0.469786i	−0.972021	+	0.234893i	$0.924526\pi$
$692$	−9.31646	+	14.9984i	−0.354159	+	0.570153i
$693$	20.4584	+	19.9098i	0.777149	+	0.756312i
$694$	45.9752	+	13.1168i	1.74520	+	0.497907i
$695$	−1.12893			−0.0428227
$696$	6.13192	−	4.30478i	0.232430	−	0.163172i
$697$	5.85543			0.221790
$698$	15.0646	−	14.5866i	0.570204	−	0.552113i
$699$	33.1899	+	25.1556i	1.25536	+	0.951472i
$700$	−23.9128	+	38.6432i	−0.903818	+	1.46058i
$701$			8.26934i			0.312329i	0.987731	+	0.156164i	$0.0499130\pi$
$701$			8.26934i			0.312329i	−0.987731	+	0.156164i	$0.950087\pi$
$702$	1.07020	−	8.23778i	0.0403921	−	0.310915i
$703$	8.62279	+	4.97837i	0.325215	+	0.187763i
$704$	26.1908	−	11.9131i	0.987104	−	0.448992i
$705$	−2.95616	+	23.5342i	−0.111335	+	0.886348i
$706$	−34.8485	+	8.73812i	−1.31154	+	0.328864i
$707$	19.4380	−	0.0330714i	0.731041	−	0.00124378i
$708$	−0.453111	+	2.85871i	−0.0170289	+	0.107437i
$709$	5.36467			0.201475			0.100737	−	0.994913i	$-0.467880\pi$
$709$	5.36467			0.201475			0.100737	+	0.994913i	$0.467880\pi$
$710$	−8.97226	−	9.26627i	−0.336723	−	0.347757i
$711$	14.2112	+	13.8773i	0.532961	+	0.520440i
$712$	−48.5915	−	15.5735i	−1.82104	−	0.583643i
$713$	3.12757	+	1.80570i	0.117128	+	0.0676242i
$714$	−33.5232	+	25.2748i	−1.25457	+	0.945885i
$715$	−12.9793	+	7.49359i	−0.485398	+	0.280245i
$716$	22.7264	−	12.1618i	0.849327	−	0.454507i
$717$	−13.3726	+	17.6436i	−0.499408	+	0.658913i
$718$	−5.00269	−	19.9512i	−0.186699	−	0.744573i
$719$	3.38933	+	5.87049i	0.126401	+	0.218932i	0.922280	−	0.386524i	$-0.126324\pi$
$719$	3.38933	+	5.87049i	0.126401	+	0.218932i	−0.795879	+	0.605456i	$0.792991\pi$
$720$	−29.5910	−	32.8793i	−1.10279	−	1.22534i
$721$	−1.54893	−	2.67232i	−0.0576853	−	0.0995224i
$722$	−4.61151	+	4.46519i	−0.171623	+	0.166177i
$723$	−15.5057	+	20.4580i	−0.576662	+	0.760840i
$724$	−15.6244	−	9.70532i	−0.580676	−	0.360695i
$725$			13.1338i			0.487778i
$726$	4.36174	+	1.85892i	0.161880	+	0.0689908i
$727$	3.83172	+	2.21224i	0.142110	+	0.0820475i	0.569369	−	0.822082i	$-0.307187\pi$
$727$	3.83172	+	2.21224i	0.142110	+	0.0820475i	−0.427259	+	0.904129i	$0.640521\pi$
$728$	−6.25420	+	5.69625i	−0.231796	+	0.211117i
$729$	19.7604	+	18.3991i	0.731865	+	0.681449i
$730$	−34.7782	+	8.72049i	−1.28720	+	0.322760i
$731$	21.6097	+	37.4292i	0.799265	+	1.38437i
$732$	7.34417	−	46.3349i	0.271448	−	1.71259i
$733$	−20.7029	+	35.8585i	−0.764679	+	1.32446i	0.175738	+	0.984437i	$0.443769\pi$
$733$	−20.7029	+	35.8585i	−0.764679	+	1.32446i	−0.940416	+	0.340025i	$0.889564\pi$
$734$	−19.7928	+	4.96298i	−0.730567	+	0.183187i
$735$	−41.1291	+	17.4883i	−1.51707	+	0.645066i
$736$	5.56683	+	1.98419i	0.205196	+	0.0731383i
$737$	10.8019	−	6.23646i	0.397892	−	0.229723i
$738$	−1.93143	+	3.31287i	−0.0710969	+	0.121948i
$739$	12.0981	+	6.98485i	0.445037	+	0.256942i	0.705732	−	0.708479i	$-0.250618\pi$
$739$	12.0981	+	6.98485i	0.445037	+	0.256942i	−0.260695	+	0.965421i	$0.583952\pi$
$740$	−7.98327	+	12.8521i	−0.293471	+	0.472453i
$741$	1.18394	−	9.42546i	0.0434933	−	0.346253i
$742$	−1.03207	−	4.08650i	−0.0378883	−	0.150020i
$743$	8.17429	+	14.1583i	0.299886	+	0.519417i	0.976110	−	0.217279i	$-0.0697181\pi$
$743$	8.17429	+	14.1583i	0.299886	+	0.519417i	−0.676224	+	0.736696i	$0.736385\pi$
$744$	−15.3568	−	7.13821i	−0.563009	−	0.261700i
$745$	−18.0240	−	31.2185i	−0.660349	−	1.14376i
$746$	1.33883	−	1.29635i	0.0490182	−	0.0474629i
$747$	−8.72240	−	31.0705i	−0.319136	−	1.13681i
$748$	−24.5882	+	39.5841i	−0.899035	+	1.44734i
$749$	0.0684068	+	40.2067i	0.00249953	+	1.46912i
$750$	32.1616	−	3.90164i	1.17438	−	0.142468i
$751$	40.1194	+	23.1629i	1.46398	+	0.845227i	0.999192	−	0.0401971i	$-0.0127986\pi$
$751$	40.1194	+	23.1629i	1.46398	+	0.845227i	0.464784	+	0.885424i	$0.346132\pi$
$752$	6.58541	+	13.3211i	0.240145	+	0.485771i
$753$	−7.74951	−	18.3989i	−0.282408	−	0.670494i
$754$	−0.670768	+	2.35108i	−0.0244279	+	0.0856214i
$755$	85.5953			3.11513
$756$	−3.24218	−	27.3036i	−0.117917	−	0.993023i
$757$	18.2447			0.663115			0.331558	−	0.943435i	$-0.392426\pi$
$757$	18.2447			0.663115			0.331558	+	0.943435i	$0.392426\pi$
$758$	7.55654	−	26.4861i	0.274466	−	0.962020i
$759$	2.52625	+	5.99784i	0.0916971	+	0.217708i
$760$	−33.9978	−	37.4557i	−1.23323	−	1.35866i
$761$	13.2289	+	7.63773i	0.479548	+	0.276867i	0.720228	−	0.693737i	$-0.244037\pi$
$761$	13.2289	+	7.63773i	0.479548	+	0.276867i	−0.240680	+	0.970605i	$0.577370\pi$
$762$	17.5191	−	2.12531i	0.634651	−	0.0769918i
$763$	30.4271	−	17.6362i	1.10154	−	0.638473i
$764$	−15.4714	−	9.61029i	−0.559736	−	0.347688i
$765$	69.4142	+	17.7180i	2.50967	+	0.640594i
$766$	2.35263	−	2.27799i	0.0850041	−	0.0823070i
$767$	−0.472264	−	0.817985i	−0.0170525	−	0.0295357i
$768$	−26.8243	−	6.96111i	−0.967938	−	0.251187i
$769$	20.8322	+	36.0824i	0.751227	+	1.30116i	0.947228	+	0.320560i	$0.103871\pi$
$769$	20.8322	+	36.0824i	0.751227	+	1.30116i	−0.196001	+	0.980604i	$0.562795\pi$
$770$	−35.5790	+	34.5676i	−1.28218	+	1.24573i
$771$	3.75082	−	29.8605i	0.135082	−	1.07540i
$772$	−19.5982	−	12.1737i	−0.705354	−	0.438140i
$773$	−1.49050	−	0.860538i	−0.0536094	−	0.0309514i	0.472956	−	0.881086i	$-0.343187\pi$
$773$	−1.49050	−	0.860538i	−0.0536094	−	0.0309514i	−0.526565	+	0.850135i	$0.676520\pi$
$774$	−28.3046	−	0.119816i	−1.01739	−	0.00430671i
$775$	25.7098	−	14.8435i	0.923522	−	0.533195i
$776$	30.1868	−	6.54282i	1.08364	−	0.234874i
$777$	−8.66081	+	3.66524i	−0.310705	+	0.131490i
$778$	0.620131	−	0.155495i	0.0222328	−	0.00557478i
$779$	−2.19264	+	3.79777i	−0.0785595	+	0.136069i
$780$	14.2570	+	2.25977i	0.510483	+	0.0809126i
$781$	−4.44941	−	7.70660i	−0.159212	−	0.275764i
$782$	−9.28392	+	2.32791i	−0.331992	+	0.0832458i
$783$	−4.94919	−	6.21720i	−0.176870	−	0.222184i
$784$	−15.4539	+	23.3490i	−0.551925	+	0.833894i
$785$	−20.5171	−	11.8455i	−0.732285	−	0.422785i
$786$	31.5967	+	13.4661i	1.12702	+	0.480320i
$787$		−	34.6912i		−	1.23661i	−0.785939	−	0.618304i	$-0.787820\pi$
$787$		−	34.6912i		−	1.23661i	0.785939	−	0.618304i	$-0.212180\pi$
$788$	−13.6391	+	21.9573i	−0.485872	+	0.782195i
$789$	−12.1482	+	16.0282i	−0.432487	+	0.570618i
$790$	−24.7965	+	24.0097i	−0.882219	+	0.854227i
$791$	−0.832803	+	0.00141691i	−0.0296110	+	5.03795e-5i
$792$	−14.2853	−	26.9684i	−0.507607	−	0.958282i
$793$	7.65461	+	13.2582i	0.271823	+	0.470812i
$794$	9.89863	+	39.4767i	0.351289	+	1.40098i
$795$	−4.34426	+	5.73176i	−0.154075	+	0.203284i
$796$	−10.0532	−	18.7861i	−0.356325	−	0.665855i
$797$	−25.7110	+	14.8443i	−0.910731	+	0.525811i	−0.880666	−	0.473737i	$-0.842905\pi$
$797$	−25.7110	+	14.8443i	−0.910731	+	0.525811i	−0.0300650	+	0.999548i	$0.509571\pi$
$798$	−3.83975	−	31.2072i	−0.135926	−	1.10472i
$799$	−20.8422	−	12.0333i	−0.737345	−	0.425706i
$800$	37.0062	−	31.4751i	1.30837	−	1.11281i
$801$	−13.3853	+	52.4401i	−0.472948	+	1.85288i
$802$	−11.6297	−	12.0108i	−0.410659	−	0.424115i
$803$	−24.7371			−0.872952
$804$	−11.8653	−	1.88067i	−0.418455	−	0.0663260i
$805$	−10.1890	+	0.0173353i	−0.359113	+	0.000610987i
$806$	5.36038	−	1.34409i	0.188811	−	0.0473437i
$807$	−3.56686	+	28.3960i	−0.125559	+	0.999586i
$808$	−19.7886	−	6.34223i	−0.696161	−	0.223119i
$809$	21.1767	+	12.2264i	0.744534	+	0.429857i	0.823715	−	0.567004i	$-0.191897\pi$
$809$	21.1767	+	12.2264i	0.744534	+	0.429857i	−0.0791818	+	0.996860i	$0.525231\pi$
$810$	−32.9209	+	33.4287i	−1.15672	+	1.17456i
$811$			34.3972i			1.20785i	0.797042	+	0.603924i	$0.206397\pi$
$811$			34.3972i			1.20785i	−0.797042	+	0.603924i	$0.793603\pi$
$812$	−0.247072	+	8.08862i	−0.00867051	+	0.283855i
$813$	−11.9732	−	9.07482i	−0.419918	−	0.318268i
$814$	−7.49905	+	7.26111i	−0.262842	+	0.254502i
$815$	−26.7032			−0.935374
$816$	42.3996	−	14.7206i	1.48428	−	0.515324i
$817$	−32.3682			−1.13242
$818$	48.7561	+	13.9102i	1.70472	+	0.486358i
$819$	6.43020	+	6.25780i	0.224689	+	0.218665i
$820$	−5.66050	−	3.51610i	−0.197673	−	0.122788i
$821$		−	22.4377i		−	0.783079i	−0.920161	−	0.391540i	$-0.871943\pi$
$821$		−	22.4377i		−	0.783079i	0.920161	−	0.391540i	$-0.128057\pi$
$822$	27.4775	+	36.5741i	0.958388	+	1.27567i
$823$		−	25.4294i		−	0.886412i	−0.896420	−	0.443206i	$-0.853841\pi$
$823$		−	25.4294i		−	0.886412i	0.896420	−	0.443206i	$-0.146159\pi$
$824$	0.699457	+	3.22710i	0.0243667	+	0.112421i
$825$	53.0822	+	6.66773i	1.84809	+	0.232140i
$826$	−2.17853	−	2.24227i	−0.0758007	−	0.0780185i
$827$	51.6448			1.79587			0.897934	−	0.440131i	$-0.145068\pi$
$827$	51.6448			1.79587			0.897934	+	0.440131i	$0.145068\pi$
$828$	1.74525	−	6.02051i	0.0606517	−	0.209227i
$829$	−6.19638	+	10.7324i	−0.215209	+	0.372753i	−0.953337	−	0.301907i	$-0.902377\pi$
$829$	−6.19638	+	10.7324i	−0.215209	+	0.372753i	0.738128	+	0.674661i	$0.235710\pi$
$830$	54.3941	−	13.6391i	1.88805	−	0.473420i
$831$	−18.8790	+	24.9087i	−0.654904	+	0.864072i
$832$	8.23195	−	3.74437i	0.285392	−	0.129813i
$833$	−0.154306	−	45.3471i	−0.00534637	−	1.57119i
$834$	0.450600	+	0.599772i	0.0156030	+	0.0207684i
$835$		−	65.6421i		−	2.27164i
$836$	−16.4664	−	30.7705i	−0.569504	−	1.06422i
$837$	−6.57684	+	16.7147i	−0.227329	+	0.577743i
$838$	8.52516	+	33.9992i	0.294497	+	1.17448i
$839$	21.4887	−	37.2196i	0.741873	−	1.28496i	−0.209768	−	0.977751i	$-0.567271\pi$
$839$	21.4887	−	37.2196i	0.741873	−	1.28496i	0.951641	−	0.307211i	$-0.0993958\pi$
$840$	47.5844	−	4.30320i	1.64182	−	0.148474i
$841$	−13.3306	−	23.0893i	−0.459676	−	0.796181i
$842$	25.5155	−	24.7059i	0.879322	−	0.851422i
$843$	−5.04912	+	40.1964i	−0.173901	+	1.38444i
$844$	−1.12176	−	0.0361752i	−0.0386125	−	0.00124520i
$845$	37.4209	−	21.6050i	1.28732	−	0.743234i
$846$	13.6830	−	7.82286i	0.470432	−	0.268955i
$847$	−4.43076	+	2.56816i	−0.152243	+	0.0882431i
$848$	−0.290311	+	4.49646i	−0.00996933	+	0.154409i
$849$	19.9291	−	8.39399i	0.683964	−	0.288081i
$850$	−21.5861	+	75.6607i	−0.740398	+	2.59514i
$851$	−2.14401			−0.0734957
$852$	−1.34176	+	8.46527i	−0.0459680	+	0.290015i
$853$	21.9724	−	38.0573i	0.752320	−	1.30306i	−0.194375	−	0.980927i	$-0.562268\pi$
$853$	21.9724	−	38.0573i	0.752320	−	1.30306i	0.946696	−	0.322130i	$-0.104399\pi$
$854$	35.3103	+	36.3435i	1.20829	+	1.24365i
$855$	−37.4847	+	38.3865i	−1.28195	+	1.31279i
$856$	13.1187	−	40.9320i	0.448387	−	1.39903i
$857$	−22.1891	+	12.8109i	−0.757967	+	0.437612i	−0.828565	−	0.559892i	$-0.810842\pi$
$857$	−22.1891	+	12.8109i	−0.757967	+	0.437612i	0.0705984	+	0.997505i	$0.477509\pi$
$858$	9.16170	+	3.90459i	0.312775	+	0.133300i
$859$	3.67684	+	2.12282i	0.125452	+	0.0724298i	0.561413	−	0.827536i	$-0.310258\pi$
$859$	3.67684	+	2.12282i	0.125452	+	0.0724298i	−0.435961	+	0.899966i	$0.643591\pi$
$860$	1.58533	−	49.1595i	0.0540592	−	1.67633i
$861$	−1.61429	−	3.81451i	−0.0550150	−	0.129998i
$862$	6.41802	−	6.21438i	0.218599	−	0.211663i
$863$	−3.42515	−	5.93253i	−0.116593	−	0.201946i	0.801822	−	0.597563i	$-0.203864\pi$
$863$	−3.42515	−	5.93253i	−0.116593	−	0.201946i	−0.918416	+	0.395617i	$0.870531\pi$
$864$	−5.65704	+	28.8444i	−0.192457	+	0.981305i
$865$	−16.2712	+	28.1826i	−0.553238	+	0.958236i
$866$	−37.2990	−	10.6415i	−1.26747	−	0.361612i
$867$	−26.1211	+	34.4638i	−0.887119	+	1.17045i
$868$	16.1129	−	8.65791i	0.546907	−	0.293869i
$869$	−20.6228	+	11.9066i	−0.699580	+	0.403903i
$870$	11.0401	−	8.29427i	0.374295	−	0.281202i
$871$	3.39510	−	1.96016i	0.115039	−	0.0664176i
$872$	−36.7439	+	7.96404i	−1.24430	+	0.269696i
$873$	−8.85477	−	31.5420i	−0.299689	−	1.06754i
$874$	1.96663	−	6.89317i	0.0665223	−	0.233165i
$875$	−17.4450	+	30.3347i	−0.589749	+	1.02550i
$876$	18.5143	+	14.9961i	0.625540	+	0.506671i
$877$	18.9329	−	32.7927i	0.639318	−	1.10733i	−0.346265	−	0.938137i	$-0.612550\pi$
$877$	18.9329	−	32.7927i	0.639318	−	1.10733i	0.985583	−	0.169195i	$-0.0541166\pi$
$878$	−1.97836	+	6.93427i	−0.0667664	+	0.234020i
$879$	−5.38638	−	4.08249i	−0.181678	−	0.137699i
$880$	47.5394	−	23.5015i	1.60255	−	0.792236i
$881$			0.333275i			0.0112283i	0.999984	+	0.00561416i	$0.00178705\pi$
$881$			0.333275i			0.0112283i	−0.999984	+	0.00561416i	$0.998213\pi$
$882$	25.7073	+	14.8706i	0.865610	+	0.500719i
$883$			46.2921i			1.55785i	0.627114	+	0.778927i	$0.284236\pi$
$883$			46.2921i			1.55785i	−0.627114	+	0.778927i	$0.715764\pi$
$884$	−7.72825	+	12.4416i	−0.259929	+	0.418455i
$885$	−0.664867	+	5.29305i	−0.0223493	+	0.177924i
$886$	−5.38184	−	1.53545i	−0.180807	−	0.0515844i
$887$	21.0495	−	36.4589i	0.706775	−	1.22417i	−0.259273	−	0.965804i	$-0.583483\pi$
$887$	21.0495	−	36.4589i	0.706775	−	1.22417i	0.966047	−	0.258366i	$-0.0831839\pi$
$888$	10.0144	−	0.888461i	0.336063	−	0.0298148i
$889$	−9.50267	+	16.5240i	−0.318709	+	0.554196i
$890$	−90.4376	−	25.8020i	−3.03147	−	0.864885i
$891$	−27.6402	+	16.8465i	−0.925983	+	0.564379i
$892$	−14.7043	−	27.4776i	−0.492337	−	0.920019i
$893$	15.6093	−	9.01203i	0.522345	−	0.301576i
$894$	−9.39154	+	22.0362i	−0.314100	+	0.737002i
$895$	41.1428	−	23.7538i	1.37525	−	0.794002i
$896$	23.3828	−	18.6881i	0.781164	−	0.624326i
$897$	0.794018	+	1.88516i	0.0265115	+	0.0629437i
$898$	2.30073	−	8.06421i	0.0767764	−	0.269106i
$899$	2.64327	−	4.57828i	0.0881580	−	0.152694i
$900$	−35.6869	−	37.1699i	−1.18956	−	1.23900i
$901$	−3.64870	−	6.31974i	−0.121556	−	0.210541i
$902$	−3.19804	−	3.30283i	−0.106483	−	0.109972i
$903$	18.4256	−	24.3966i	0.613165	−	0.811867i
$904$	0.847825	+	0.271727i	0.0281982	+	0.00903751i
$905$	−29.3589	−	16.9504i	−0.975922	−	0.563449i
$906$	−34.1644	−	45.4746i	−1.13504	−	1.51079i
$907$	12.5719	−	7.25841i	0.417444	−	0.241011i	−0.276539	−	0.961003i	$-0.589188\pi$
$907$	12.5719	−	7.25841i	0.417444	−	0.241011i	0.693983	+	0.719991i	$0.255854\pi$
$908$	−1.28448	+	39.8306i	−0.0426271	+	1.32183i
$909$	−5.45110	+	21.3559i	−0.180802	+	0.708331i
$910$	−11.1827	+	10.8648i	−0.370703	+	0.360165i
$911$	−4.19622	+	7.26807i	−0.139027	+	0.240802i	−0.927129	−	0.374743i	$-0.877731\pi$
$911$	−4.19622	+	7.26807i	−0.139027	+	0.240802i	0.788102	+	0.615545i	$0.211064\pi$
$912$	−6.32946	+	33.0122i	−0.209589	+	1.09314i
$913$	38.6895			1.28044
$914$	41.7869	+	11.9219i	1.38219	+	0.394341i
$915$	10.7764	−	85.7916i	0.356257	−	2.83618i
$916$	−18.4740	+	9.88614i	−0.610398	+	0.326647i
$917$	−32.0967	+	18.6039i	−1.05993	+	0.614356i
$918$	−18.2928	−	43.9499i	−0.603751	−	1.45056i
$919$	49.1071	−	28.3520i	1.61990	−	0.935247i	0.632949	−	0.774193i	$-0.281844\pi$
$919$	49.1071	−	28.3520i	1.61990	−	0.935247i	0.986946	−	0.161054i	$-0.0514892\pi$
$920$	10.3727	+	3.32445i	0.341979	+	0.109604i
$921$	8.18948	−	3.44935i	0.269853	−	0.113660i
$922$	11.3472	+	11.7191i	0.373702	+	0.385947i
$923$	−1.39848	−	2.42224i	−0.0460315	−	0.0797289i
$924$	32.5658	+	5.10497i	1.07134	+	0.167941i
$925$	−8.81226	+	15.2633i	−0.289745	+	0.501853i
$926$	−52.5787	+	13.1839i	−1.72784	+	0.433250i
$927$	3.37198	−	0.946614i	0.110750	−	0.0310909i
$928$	2.90455	−	8.14897i	0.0953465	−	0.267503i
$929$			18.4293i			0.604646i	0.953206	+	0.302323i	$0.0977621\pi$
$929$			18.4293i			0.604646i	−0.953206	+	0.302323i	$0.902238\pi$
$930$	−28.7135	−	12.2373i	−0.941552	−	0.401277i
$931$	29.4694	+	16.8808i	0.965822	+	0.553244i
$932$	48.0635	+	1.54998i	1.57437	+	0.0507713i
$933$	−3.86883	−	9.18539i	−0.126660	−	0.300716i
$934$	1.32206	+	5.27251i	0.0432591	+	0.172522i
$935$	−42.9434	+	74.3802i	−1.40440	+	2.43249i
$936$	−4.48997	−	8.47636i	−0.146759	−	0.277059i
$937$	26.4098			0.862771			0.431386	−	0.902168i	$-0.358025\pi$
$937$	26.4098			0.862771			0.431386	+	0.902168i	$0.358025\pi$
$938$	9.30669	−	9.04213i	0.303874	−	0.295236i
$939$	1.60097	+	3.80102i	0.0522455	+	0.124042i
$940$	12.9226	+	24.1482i	0.421489	+	0.787626i
$941$		−	42.7788i		−	1.39455i	−0.716804	−	0.697275i	$-0.754396\pi$
$941$		−	42.7788i		−	1.39455i	0.716804	−	0.697275i	$-0.245604\pi$
$942$	1.89592	+	15.6282i	0.0617723	+	0.509195i
$943$		−	0.944294i		−	0.0307504i
$944$	1.48112	+	2.99605i	0.0482063	+	0.0975130i
$945$	−7.59457	−	50.1045i	−0.247051	−	1.62990i
$946$	9.30992	−	32.6318i	0.302692	−	1.06095i
$947$	6.55037			0.212858			0.106429	−	0.994320i	$-0.466058\pi$
$947$	6.55037			0.212858			0.106429	+	0.994320i	$0.466058\pi$
$948$	22.6530	+	3.59054i	0.735735	+	0.116615i
$949$	−7.77503			−0.252388
$950$	−40.9895	−	42.3327i	−1.32988	−	1.37345i
$951$	17.6503	−	7.43417i	0.572349	−	0.241070i
$952$	−14.7174	+	46.1904i	−0.476993	+	1.49704i
$953$		−	57.3933i		−	1.85915i	−0.368630	−	0.929576i	$-0.620173\pi$
$953$		−	57.3933i		−	1.85915i	0.368630	−	0.929576i	$-0.379827\pi$
$954$	4.77910	+	0.0202304i	0.154729	+	0.000654984i
$955$	−29.0714	−	16.7844i	−0.940730	−	0.543130i
$956$	−0.823962	+	25.5503i	−0.0266489	+	0.826356i
$957$	8.77991	−	3.69804i	0.283814	−	0.119541i
$958$	10.8507	+	43.2736i	0.350570	+	1.39811i
$959$	−49.4110	+	0.0840667i	−1.59556	+	0.00271466i
$960$	−49.8276	−	11.2298i	−1.60818	−	0.362440i
$961$	19.0506			0.614534
$962$	−2.35700	+	2.28222i	−0.0759928	+	0.0735816i
$963$	−44.1739	−	11.2754i	−1.42348	−	0.363344i
$964$	−0.955394	+	29.6259i	−0.0307712	+	0.954185i
$965$	−36.8258	−	21.2614i	−1.18546	−	0.684428i
$966$	4.07602	+	5.40622i	0.131144	+	0.173942i
$967$	21.2476	−	12.2673i	0.683275	−	0.394489i	−0.117813	−	0.993036i	$-0.537588\pi$
$967$	21.2476	−	12.2673i	0.683275	−	0.394489i	0.801088	+	0.598547i	$0.204255\pi$
$968$	5.35060	−	1.15971i	0.171975	−	0.0372746i
$969$	−21.1313	−	50.1702i	−0.678837	−	1.61170i
$970$	55.2196	−	13.8461i	1.77299	−	0.444571i
$971$	0.228931	+	0.396521i	0.00734676	+	0.0127250i	0.869675	−	0.493624i	$-0.164328\pi$
$971$	0.228931	+	0.396521i	0.00734676	+	0.0127250i	−0.862329	+	0.506349i	$0.830995\pi$
$972$	30.8998	+	4.14739i	0.991112	+	0.133028i
$973$	−0.810284	+	0.00137860i	−0.0259765	+	4.41958e-5i
$974$	0.895954	+	0.925314i	0.0287082	+	0.0296490i
$975$	16.6841	+	2.09571i	0.534319	+	0.0671165i
$976$	−24.0065	−	48.5609i	−0.768429	−	1.55440i
$977$			10.8563i			0.347324i	0.984805	+	0.173662i	$0.0555600\pi$
$977$			10.8563i			0.347324i	−0.984805	+	0.173662i	$0.944440\pi$
$978$	10.6583	+	14.1868i	0.340815	+	0.453643i
$979$	−56.1918	−	32.4423i	−1.79590	−	1.03686i
$980$	−27.0812	+	43.9302i	−0.865076	+	1.40330i
$981$	10.7782	+	38.3935i	0.344121	+	1.22581i
$982$	−3.73430	−	14.8927i	−0.119166	−	0.475247i
$983$	−17.5837	−	30.4558i	−0.560832	−	0.971390i	−0.997424	−	0.0717304i	$-0.977148\pi$
$983$	−17.5837	−	30.4558i	−0.560832	−	0.971390i	0.436592	−	0.899660i	$-0.356185\pi$
$984$	0.391308	+	4.41070i	0.0124745	+	0.140608i
$985$	−23.8207	+	41.2586i	−0.758990	+	1.31461i
$986$	3.40769	+	13.5902i	0.108523	+	0.432801i
$987$	−2.09303	+	16.8951i	−0.0666218	+	0.537778i
$988$	−5.17552	−	9.67137i	−0.164655	−	0.307687i
$989$	6.03613	−	3.48496i	0.191938	−	0.110815i
$990$	−27.9176	−	48.8310i	−0.887281	−	1.55195i
$991$	−10.5332	−	6.08134i	−0.334598	−	0.193180i	0.323283	−	0.946302i	$-0.395213\pi$
$991$	−10.5332	−	6.08134i	−0.334598	−	0.193180i	−0.657881	+	0.753122i	$0.728547\pi$
$992$	−19.2344	+	3.52404i	−0.610693	+	0.111888i
$993$	−15.0818	+	6.35235i	−0.478606	+	0.201586i
$994$	−6.45111	−	6.63986i	−0.204617	−	0.210604i
$995$	−19.6353	−	34.0094i	−0.622482	−	1.07817i
$996$	−28.9569	−	23.4543i	−0.917534	−	0.743179i
$997$	−16.4463	−	28.4858i	−0.520859	−	0.902155i	−0.999706	−	0.0242561i	$-0.992278\pi$
$997$	−16.4463	−	28.4858i	−0.520859	−	0.902155i	0.478847	−	0.877899i	$-0.341055\pi$
$998$	−9.74067	−	10.0599i	−0.308336	−	0.318439i
$999$	−1.58014	−	10.5459i	−0.0499935	−	0.333658i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	252.2.bb.a.11.4	yes	88
3.2	odd	2		756.2.bb.a.683.41		88
4.3	odd	2	inner	252.2.bb.a.11.41	yes	88
7.2	even	3		252.2.o.a.191.26	yes	88
9.4	even	3		756.2.o.a.179.32		88
9.5	odd	6		252.2.o.a.95.13	✓	88
12.11	even	2		756.2.bb.a.683.4		88
21.2	odd	6		756.2.o.a.359.19		88
28.23	odd	6		252.2.o.a.191.13	yes	88
36.23	even	6		252.2.o.a.95.26	yes	88
36.31	odd	6		756.2.o.a.179.19		88
63.23	odd	6	inner	252.2.bb.a.23.41	yes	88
63.58	even	3		756.2.bb.a.611.4		88
84.23	even	6		756.2.o.a.359.32		88
252.23	even	6	inner	252.2.bb.a.23.4	yes	88
252.247	odd	6		756.2.bb.a.611.41		88

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
252.2.o.a.95.13	✓	88	9.5	odd	6
252.2.o.a.95.26	yes	88	36.23	even	6
252.2.o.a.191.13	yes	88	28.23	odd	6
252.2.o.a.191.26	yes	88	7.2	even	3
252.2.bb.a.11.4	yes	88	1.1	even	1	trivial
252.2.bb.a.11.41	yes	88	4.3	odd	2	inner
252.2.bb.a.23.4	yes	88	252.23	even	6	inner
252.2.bb.a.23.41	yes	88	63.23	odd	6	inner
756.2.o.a.179.19		88	36.31	odd	6
756.2.o.a.179.32		88	9.4	even	3
756.2.o.a.359.19		88	21.2	odd	6
756.2.o.a.359.32		88	84.23	even	6
756.2.bb.a.611.4		88	63.58	even	3
756.2.bb.a.611.41		88	252.247	odd	6
756.2.bb.a.683.4		88	12.11	even	2
756.2.bb.a.683.41		88	3.2	odd	2

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:	\( N \)	\(=\)	\( 252 = 2^{2} \cdot 3^{2} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	252.bb (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.35995 - 0.387995i) q^{2} +(0.672325 + 1.59624i) q^{3} +(1.69892 + 1.05531i) q^{4} +(3.19234 + 1.84310i) q^{5} +(-0.294994 - 2.43166i) q^{6} +(2.29354 + 1.31898i) q^{7} +(-1.90099 - 2.09434i) q^{8} +(-2.09596 + 2.14638i) q^{9} +O(q^{10})\)	\(q+(-1.35995 - 0.387995i) q^{2} +(0.672325 + 1.59624i) q^{3} +(1.69892 + 1.05531i) q^{4} +(3.19234 + 1.84310i) q^{5} +(-0.294994 - 2.43166i) q^{6} +(2.29354 + 1.31898i) q^{7} +(-1.90099 - 2.09434i) q^{8} +(-2.09596 + 2.14638i) q^{9} +(-3.62630 - 3.74513i) q^{10} +(-1.79831 - 3.11476i) q^{11} +(-0.542297 + 3.42139i) q^{12} +(-0.565220 - 0.978990i) q^{13} +(-2.60733 - 2.68362i) q^{14} +(-0.795735 + 6.33490i) q^{15} +(1.77265 + 3.58576i) q^{16} +(-5.61029 - 3.23910i) q^{17} +(3.68318 - 2.10575i) q^{18} +(4.20169 - 2.42585i) q^{19} +(3.47849 + 6.50017i) q^{20} +(-0.563399 + 4.54781i) q^{21} +(1.23709 + 4.93365i) q^{22} +(-0.522364 + 0.904760i) q^{23} +(2.06498 - 4.44251i) q^{24} +(4.29402 + 7.43745i) q^{25} +(0.388827 + 1.55068i) q^{26} +(-4.83531 - 1.90258i) q^{27} +(2.50461 + 4.66122i) q^{28} +(1.32443 + 0.764659i) q^{29} +(3.54007 - 8.30639i) q^{30} -3.45679i q^{31} +(-1.01945 - 5.56424i) q^{32} +(3.76286 - 4.96466i) q^{33} +(6.37294 + 6.58178i) q^{34} +(4.89074 + 8.43782i) q^{35} +(-5.82596 + 1.43465i) q^{36} +(1.02611 + 1.77727i) q^{37} +(-6.65530 + 1.66879i) q^{38} +(1.18269 - 1.56043i) q^{39} +(-2.20853 - 10.1895i) q^{40} +(-0.782771 + 0.451933i) q^{41} +(2.53072 - 5.96619i) q^{42} +(-5.77771 - 3.33576i) q^{43} +(0.231851 - 7.18949i) q^{44} +(-10.6470 + 2.98893i) q^{45} +(1.06143 - 1.02775i) q^{46} +3.71500 q^{47} +(-4.53194 + 5.24037i) q^{48} +(3.52061 + 6.05023i) q^{49} +(-2.95394 - 11.7806i) q^{50} +(1.39844 - 11.1331i) q^{51} +(0.0728725 - 2.25971i) q^{52} +(0.975539 + 0.563227i) q^{53} +(5.83757 + 4.46349i) q^{54} -13.2578i q^{55} +(-1.59760 - 7.31079i) q^{56} +(6.69713 + 5.07594i) q^{57} +(-1.50447 - 1.55377i) q^{58} +0.835539 q^{59} +(-8.03715 + 9.92273i) q^{60} -13.5427 q^{61} +(-1.34122 + 4.70106i) q^{62} +(-7.63818 + 2.15829i) q^{63} +(-0.772494 + 7.96262i) q^{64} -4.16702i q^{65} +(-7.04355 + 5.29171i) q^{66} +3.46796i q^{67} +(-6.11317 - 11.4235i) q^{68} +(-1.79541 - 0.225524i) q^{69} +(-3.37732 - 13.3726i) q^{70} +2.47422 q^{71} +(8.47964 + 0.309394i) q^{72} +(3.43894 - 5.95641i) q^{73} +(-0.705881 - 2.81512i) q^{74} +(-8.98498 + 11.8547i) q^{75} +(9.69835 + 0.312758i) q^{76} +(-0.0161899 - 9.51574i) q^{77} +(-2.21384 + 1.66322i) q^{78} -6.62099i q^{79} +(-0.950010 + 14.7141i) q^{80} +(-0.213922 - 8.99746i) q^{81} +(1.23988 - 0.310894i) q^{82} +(-5.37860 + 9.31600i) q^{83} +(-5.75651 + 7.13180i) q^{84} +(-11.9400 - 20.6806i) q^{85} +(6.56313 + 6.77819i) q^{86} +(-0.330132 + 2.62820i) q^{87} +(-3.10480 + 9.68738i) q^{88} +(15.6235 - 9.02024i) q^{89} +(15.6391 + 0.0662018i) q^{90} +(-0.00508858 - 2.99086i) q^{91} +(-1.84225 + 0.985860i) q^{92} +(5.51787 - 2.32409i) q^{93} +(-5.05221 - 1.44140i) q^{94} +17.8843 q^{95} +(8.19644 - 5.36827i) q^{96} +(-5.46022 + 9.45739i) q^{97} +(-2.44038 - 9.59398i) q^{98} +(10.4546 + 2.66855i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 88 q - 2 q^{4} - 6 q^{5} - 6 q^{6} - 2 q^{9}+O(q^{10}) \) 88 * q - 2 * q^4 - 6 * q^5 - 6 * q^6 - 2 * q^9	\( 88 q - 2 q^{4} - 6 q^{5} - 6 q^{6} - 2 q^{9} + 2 q^{10} + 6 q^{12} - 4 q^{13} - 18 q^{14} - 2 q^{16} + 2 q^{18} - 6 q^{20} - 6 q^{21} - 6 q^{22} - 14 q^{24} + 30 q^{25} + 6 q^{26} - 24 q^{29} - 29 q^{30} + 10 q^{33} - 4 q^{34} + 2 q^{36} - 4 q^{37} - 45 q^{38} - 4 q^{40} - 12 q^{41} - 46 q^{42} + 57 q^{44} - 18 q^{45} - 6 q^{46} - 43 q^{48} - 2 q^{49} + 9 q^{50} - 7 q^{52} + 23 q^{54} - 24 q^{56} - 28 q^{57} + 5 q^{58} - 19 q^{60} - 4 q^{61} - 8 q^{64} + 60 q^{66} - 12 q^{68} - 6 q^{69} - 27 q^{70} - 10 q^{72} - 4 q^{73} + 51 q^{74} - 6 q^{76} - 30 q^{77} + 55 q^{78} - 87 q^{80} - 34 q^{81} - 4 q^{82} - 55 q^{84} - 14 q^{85} + 81 q^{86} + 9 q^{88} - 60 q^{89} + 41 q^{90} + 24 q^{92} + 30 q^{93} - 18 q^{94} - 29 q^{96} - 4 q^{97} + 57 q^{98}+O(q^{100}) \) 88 * q - 2 * q^4 - 6 * q^5 - 6 * q^6 - 2 * q^9 + 2 * q^10 + 6 * q^12 - 4 * q^13 - 18 * q^14 - 2 * q^16 + 2 * q^18 - 6 * q^20 - 6 * q^21 - 6 * q^22 - 14 * q^24 + 30 * q^25 + 6 * q^26 - 24 * q^29 - 29 * q^30 + 10 * q^33 - 4 * q^34 + 2 * q^36 - 4 * q^37 - 45 * q^38 - 4 * q^40 - 12 * q^41 - 46 * q^42 + 57 * q^44 - 18 * q^45 - 6 * q^46 - 43 * q^48 - 2 * q^49 + 9 * q^50 - 7 * q^52 + 23 * q^54 - 24 * q^56 - 28 * q^57 + 5 * q^58 - 19 * q^60 - 4 * q^61 - 8 * q^64 + 60 * q^66 - 12 * q^68 - 6 * q^69 - 27 * q^70 - 10 * q^72 - 4 * q^73 + 51 * q^74 - 6 * q^76 - 30 * q^77 + 55 * q^78 - 87 * q^80 - 34 * q^81 - 4 * q^82 - 55 * q^84 - 14 * q^85 + 81 * q^86 + 9 * q^88 - 60 * q^89 + 41 * q^90 + 24 * q^92 + 30 * q^93 - 18 * q^94 - 29 * q^96 - 4 * q^97 + 57 * q^98

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