LMFDB - Embedded newform 152.2.t.a.101.9

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [152,2,Mod(5,152)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(152, base_ring=CyclotomicField(18))

chi = DirichletCharacter(H, H._module([0, 9, 16]))

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

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

chi := DirichletCharacter("152.5");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 152 = 2^{3} \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	152.t (of order $18$, degree $6$, 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:	$1.21372611072$
Analytic rank:	$0$
Dimension:	$108$
Relative dimension:	$18$ over $\Q(\zeta_{18})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label			101.9
Character	$\chi$	$=$	152.101
Dual form			152.2.t.a.149.9

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.124820 - 1.40869i) q^{2} +(0.711212 - 1.95404i) q^{3} +(-1.96884 + 0.351666i) q^{4} +(3.16846 - 0.558684i) q^{5} +(-2.84142 - 0.757977i) q^{6} +(0.199668 - 0.345836i) q^{7} +(0.741141 + 2.72960i) q^{8} +(-1.01431 - 0.851110i) q^{9} +O(q^{10})$	\(q+(-0.124820 - 1.40869i) q^{2} +(0.711212 - 1.95404i) q^{3} +(-1.96884 + 0.351666i) q^{4} +(3.16846 - 0.558684i) q^{5} +(-2.84142 - 0.757977i) q^{6} +(0.199668 - 0.345836i) q^{7} +(0.741141 + 2.72960i) q^{8} +(-1.01431 - 0.851110i) q^{9} +(-1.18250 - 4.39365i) q^{10} +(-4.85869 + 2.80516i) q^{11} +(-0.713093 + 4.09730i) q^{12} +(0.216928 + 0.596006i) q^{13} +(-0.512100 - 0.238105i) q^{14} +(1.16175 - 6.58863i) q^{15} +(3.75266 - 1.38475i) q^{16} +(-0.750823 + 0.630015i) q^{17} +(-1.07235 + 1.53509i) q^{18} +(-2.44070 + 3.61151i) q^{19} +(-6.04171 + 2.21420i) q^{20} +(-0.533770 - 0.636123i) q^{21} +(4.55808 + 6.49426i) q^{22} +(-0.335696 + 1.90383i) q^{23} +(5.86085 + 0.493105i) q^{24} +(5.02853 - 1.83023i) q^{25} +(0.812513 - 0.379979i) q^{26} +(3.01806 - 1.74248i) q^{27} +(-0.271496 + 0.751112i) q^{28} +(3.55379 - 4.23525i) q^{29} +(-9.42638 - 0.814163i) q^{30} +(4.06836 - 7.04660i) q^{31} +(-2.41910 - 5.11351i) q^{32} +(2.02584 + 11.4891i) q^{33} +(0.981217 + 0.979042i) q^{34} +(0.439428 - 1.20732i) q^{35} +(2.29633 + 1.31900i) q^{36} +9.10805i q^{37} +(5.39216 + 2.98741i) q^{38} +1.31890 q^{39} +(3.87326 + 8.23455i) q^{40} +(-10.4174 - 3.79163i) q^{41} +(-0.829477 + 0.831320i) q^{42} +(3.02291 - 0.533020i) q^{43} +(8.57949 - 7.23156i) q^{44} +(-3.68931 - 2.13002i) q^{45} +(2.72381 + 0.235258i) q^{46} +(-3.18426 - 2.67191i) q^{47} +(-0.0369167 - 8.31770i) q^{48} +(3.42027 + 5.92407i) q^{49} +(-3.20590 - 6.85521i) q^{50} +(0.697080 + 1.91521i) q^{51} +(-0.636693 - 1.09715i) q^{52} +(5.58357 + 0.984534i) q^{53} +(-2.83134 - 4.03403i) q^{54} +(-13.8273 + 11.6025i) q^{55} +(1.09198 + 0.288702i) q^{56} +(5.32118 + 7.33777i) q^{57} +(-6.40975 - 4.47756i) q^{58} +(-1.02652 - 1.22336i) q^{59} +(0.0296935 + 13.3805i) q^{60} +(-9.85721 - 1.73809i) q^{61} +(-10.4343 - 4.85152i) q^{62} +(-0.496871 + 0.180846i) q^{63} +(-6.90142 + 4.04604i) q^{64} +(1.02031 + 1.76722i) q^{65} +(15.9318 - 4.28787i) q^{66} +(-0.841438 + 1.00279i) q^{67} +(1.25670 - 1.50444i) q^{68} +(3.48140 + 2.00999i) q^{69} +(-1.75559 - 0.468322i) q^{70} +(-0.206961 - 1.17373i) q^{71} +(1.57144 - 3.39946i) q^{72} +(-7.95057 - 2.89377i) q^{73} +(12.8305 - 1.13687i) q^{74} -11.1276i q^{75} +(3.53530 - 7.96879i) q^{76} +2.24041i q^{77} +(-0.164625 - 1.85793i) q^{78} +(7.01543 + 2.55341i) q^{79} +(11.1165 - 6.48407i) q^{80} +(-1.94817 - 11.0486i) q^{81} +(-4.04094 + 15.1482i) q^{82} +(-11.8470 - 6.83985i) q^{83} +(1.27461 + 1.06471i) q^{84} +(-2.02697 + 2.41565i) q^{85} +(-1.12818 - 4.19182i) q^{86} +(-5.74833 - 9.95641i) q^{87} +(-11.2579 - 11.1832i) q^{88} +(-1.01860 + 0.370741i) q^{89} +(-2.54005 + 5.46298i) q^{90} +(0.249434 + 0.0439819i) q^{91} +(-0.00858012 - 3.86639i) q^{92} +(-10.8759 - 12.9614i) q^{93} +(-3.36645 + 4.81916i) q^{94} +(-5.71555 + 12.8065i) q^{95} +(-11.7125 + 1.09022i) q^{96} +(2.60728 - 2.18777i) q^{97} +(7.91829 - 5.55755i) q^{98} +(7.31573 + 1.28996i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 108 q - 6 q^{2} - 12 q^{4} - 12 q^{6} - 6 q^{7} - 3 q^{8} - 12 q^{9}+O(q^{10}) $ 108 * q - 6 * q^2 - 12 * q^4 - 12 * q^6 - 6 * q^7 - 3 * q^8 - 12 * q^9	$ 108 q - 6 q^{2} - 12 q^{4} - 12 q^{6} - 6 q^{7} - 3 q^{8} - 12 q^{9} + 9 q^{10} - 3 q^{12} - 9 q^{14} - 12 q^{15} - 12 q^{17} - 12 q^{18} - 42 q^{20} - 12 q^{22} - 12 q^{23} - 36 q^{24} - 12 q^{25} + 21 q^{26} + 24 q^{28} - 48 q^{30} + 30 q^{31} + 39 q^{32} - 30 q^{33} - 60 q^{34} + 69 q^{36} - 42 q^{38} - 24 q^{39} + 36 q^{40} - 24 q^{41} - 81 q^{42} + 45 q^{44} - 18 q^{46} - 48 q^{47} - 21 q^{48} - 24 q^{49} - 12 q^{50} + 3 q^{52} + 63 q^{54} - 42 q^{55} + 30 q^{56} - 12 q^{57} - 84 q^{58} + 30 q^{60} - 6 q^{62} + 30 q^{63} + 3 q^{64} - 6 q^{65} + 54 q^{66} + 36 q^{68} + 123 q^{70} - 12 q^{71} + 150 q^{72} + 12 q^{73} + 75 q^{74} + 42 q^{76} + 39 q^{78} - 12 q^{79} + 51 q^{80} - 18 q^{81} + 99 q^{82} + 75 q^{84} - 48 q^{86} - 6 q^{87} - 27 q^{88} - 12 q^{89} + 66 q^{90} - 48 q^{92} + 54 q^{94} - 72 q^{95} + 42 q^{96} - 12 q^{97} + 93 q^{98}+O(q^{100}) $ 108 * q - 6 * q^2 - 12 * q^4 - 12 * q^6 - 6 * q^7 - 3 * q^8 - 12 * q^9 + 9 * q^10 - 3 * q^12 - 9 * q^14 - 12 * q^15 - 12 * q^17 - 12 * q^18 - 42 * q^20 - 12 * q^22 - 12 * q^23 - 36 * q^24 - 12 * q^25 + 21 * q^26 + 24 * q^28 - 48 * q^30 + 30 * q^31 + 39 * q^32 - 30 * q^33 - 60 * q^34 + 69 * q^36 - 42 * q^38 - 24 * q^39 + 36 * q^40 - 24 * q^41 - 81 * q^42 + 45 * q^44 - 18 * q^46 - 48 * q^47 - 21 * q^48 - 24 * q^49 - 12 * q^50 + 3 * q^52 + 63 * q^54 - 42 * q^55 + 30 * q^56 - 12 * q^57 - 84 * q^58 + 30 * q^60 - 6 * q^62 + 30 * q^63 + 3 * q^64 - 6 * q^65 + 54 * q^66 + 36 * q^68 + 123 * q^70 - 12 * q^71 + 150 * q^72 + 12 * q^73 + 75 * q^74 + 42 * q^76 + 39 * q^78 - 12 * q^79 + 51 * q^80 - 18 * q^81 + 99 * q^82 + 75 * q^84 - 48 * q^86 - 6 * q^87 - 27 * q^88 - 12 * q^89 + 66 * q^90 - 48 * q^92 + 54 * q^94 - 72 * q^95 + 42 * q^96 - 12 * q^97 + 93 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/152\mathbb{Z}\right)^\times$.

$n$	$39$	$77$	$97$
$\chi(n)$	$1$	$-1$	$e\left(\frac{7}{9}\right)$

Coefficient data

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

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

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

$2$	−0.124820	−	1.40869i	−0.0882610	−	0.996097i
$2$	−0.124820	−	1.40869i	−0.0882610	−	0.996097i
$3$	0.711212	−	1.95404i	0.410619	−	1.12817i	−0.546245	−	0.837626i	$-0.683943\pi$
$3$	0.711212	−	1.95404i	0.410619	−	1.12817i	0.956863	−	0.290539i	$-0.0938347\pi$
$4$	−1.96884	+	0.351666i	−0.984420	+	0.175833i
$5$	3.16846	−	0.558684i	1.41698	−	0.249851i	0.587876	−	0.808951i	$-0.299964\pi$
$5$	3.16846	−	0.558684i	1.41698	−	0.249851i	0.829101	+	0.559100i	$0.188853\pi$
$6$	−2.84142	−	0.757977i	−1.16000	−	0.309443i
$7$	0.199668	−	0.345836i	0.0754676	−	0.130714i	−0.825822	−	0.563931i	$-0.809288\pi$
$7$	0.199668	−	0.345836i	0.0754676	−	0.130714i	0.901290	+	0.433217i	$0.142622\pi$
$8$	0.741141	+	2.72960i	0.262033	+	0.965059i
$9$	−1.01431	−	0.851110i	−0.338104	−	0.283703i
$10$	−1.18250	−	4.39365i	−0.373940	−	1.38939i
$11$	−4.85869	+	2.80516i	−1.46495	+	0.845789i	−0.999234	−	0.0391456i	$-0.987536\pi$
$11$	−4.85869	+	2.80516i	−1.46495	+	0.845789i	−0.465716	+	0.884934i	$0.654203\pi$
$12$	−0.713093	+	4.09730i	−0.205852	+	1.18279i
$13$	0.216928	+	0.596006i	0.0601651	+	0.165302i	0.966133	−	0.258043i	$-0.0830778\pi$
$13$	0.216928	+	0.596006i	0.0601651	+	0.165302i	−0.905968	+	0.423346i	$0.860856\pi$
$14$	−0.512100	−	0.238105i	−0.136864	−	0.0636361i
$15$	1.16175	−	6.58863i	0.299963	−	1.70118i
$16$	3.75266	−	1.38475i	0.938165	−	0.346187i
$17$	−0.750823	+	0.630015i	−0.182101	+	0.152801i	−0.729282	−	0.684214i	$-0.760146\pi$
$17$	−0.750823	+	0.630015i	−0.182101	+	0.152801i	0.547180	+	0.837015i	$0.315701\pi$
$18$	−1.07235	+	1.53509i	−0.252755	+	0.361825i
$19$	−2.44070	+	3.61151i	−0.559934	+	0.828537i
$19$	−2.44070	+	3.61151i	−0.559934	+	0.828537i
$20$	−6.04171	+	2.21420i	−1.35097	+	0.495110i
$21$	−0.533770	−	0.636123i	−0.116478	−	0.138813i
$22$	4.55808	+	6.49426i	0.971786	+	1.38458i
$23$	−0.335696	+	1.90383i	−0.0699975	+	0.396976i	0.929599	+	0.368572i	$0.120153\pi$
$23$	−0.335696	+	1.90383i	−0.0699975	+	0.396976i	−0.999597	+	0.0284032i	$0.990958\pi$
$24$	5.86085	+	0.493105i	1.19634	+	0.100655i
$25$	5.02853	−	1.83023i	1.00571	−	0.366047i
$26$	0.812513	−	0.379979i	0.159347	−	0.0745201i
$27$	3.01806	−	1.74248i	0.580826	−	0.335340i
$28$	−0.271496	+	0.751112i	−0.0513080	+	0.141947i
$29$	3.55379	−	4.23525i	0.659923	−	0.786465i	−0.327452	−	0.944868i	$-0.606190\pi$
$29$	3.55379	−	4.23525i	0.659923	−	0.786465i	0.987375	+	0.158403i	$0.0506344\pi$
$30$	−9.42638	−	0.814163i	−1.72101	−	0.148645i
$31$	4.06836	−	7.04660i	0.730699	−	1.26561i	−0.225886	−	0.974154i	$-0.572528\pi$
$31$	4.06836	−	7.04660i	0.730699	−	1.26561i	0.956585	−	0.291454i	$-0.0941389\pi$
$32$	−2.41910	−	5.11351i	−0.427640	−	0.903949i
$33$	2.02584	+	11.4891i	0.352654	+	2.00000i
$34$	0.981217	+	0.979042i	0.168277	+	0.167904i
$35$	0.439428	−	1.20732i	0.0742768	−	0.204074i
$36$	2.29633	+	1.31900i	0.382721	+	0.219833i
$37$			9.10805i			1.49735i	0.662935	+	0.748677i	$0.269311\pi$
$37$			9.10805i			1.49735i	−0.662935	+	0.748677i	$0.730689\pi$
$38$	5.39216	+	2.98741i	0.874724	+	0.484622i
$39$	1.31890			0.211193
$40$	3.87326	+	8.23455i	0.612416	+	1.30200i
$41$	−10.4174	−	3.79163i	−1.62693	−	0.592153i	−0.642243	−	0.766501i	$-0.721996\pi$
$41$	−10.4174	−	3.79163i	−1.62693	−	0.592153i	−0.984684	+	0.174349i	$0.944218\pi$
$42$	−0.829477	+	0.831320i	−0.127991	+	0.128275i
$43$	3.02291	−	0.533020i	0.460989	−	0.0812848i	0.0616694	−	0.998097i	$-0.480358\pi$
$43$	3.02291	−	0.533020i	0.460989	−	0.0812848i	0.399319	+	0.916812i	$0.369246\pi$
$44$	8.57949	−	7.23156i	1.29341	−	1.09020i
$45$	−3.68931	−	2.13002i	−0.549970	−	0.317525i
$46$	2.72381	+	0.235258i	0.401604	+	0.0346869i
$47$	−3.18426	−	2.67191i	−0.464473	−	0.389739i	0.380301	−	0.924863i	$-0.375820\pi$
$47$	−3.18426	−	2.67191i	−0.464473	−	0.389739i	−0.844774	+	0.535124i	$0.820265\pi$
$48$	−0.0369167	−	8.31770i	−0.00532847	−	1.20056i
$49$	3.42027	+	5.92407i	0.488609	+	0.846296i
$50$	−3.20590	−	6.85521i	−0.453383	−	0.969472i
$51$	0.697080	+	1.91521i	0.0976108	+	0.268183i
$52$	−0.636693	−	1.09715i	−0.0882934	−	0.152148i
$53$	5.58357	+	0.984534i	0.766962	+	0.135236i	0.543423	−	0.839459i	$-0.317128\pi$
$53$	5.58357	+	0.984534i	0.766962	+	0.135236i	0.223539	+	0.974695i	$0.428239\pi$
$54$	−2.83134	−	4.03403i	−0.385296	−	0.548962i
$55$	−13.8273	+	11.6025i	−1.86448	+	1.56448i
$56$	1.09198	+	0.288702i	0.145921	+	0.0385794i
$57$	5.32118	+	7.33777i	0.704807	+	0.971911i
$58$	−6.40975	−	4.47756i	−0.841641	−	0.587933i
$59$	−1.02652	−	1.22336i	−0.133642	−	0.159268i	0.695073	−	0.718939i	$-0.255372\pi$
$59$	−1.02652	−	1.22336i	−0.133642	−	0.159268i	−0.828715	+	0.559671i	$0.810928\pi$
$60$	0.0296935	+	13.3805i	0.00383341	+	1.72742i
$61$	−9.85721	−	1.73809i	−1.26209	−	0.222540i	−0.497729	−	0.867332i	$-0.665833\pi$
$61$	−9.85721	−	1.73809i	−1.26209	−	0.222540i	−0.764358	+	0.644792i	$0.776944\pi$
$62$	−10.4343	−	4.85152i	−1.32516	−	0.616143i
$63$	−0.496871	+	0.180846i	−0.0625998	+	0.0227845i
$64$	−6.90142	+	4.04604i	−0.862678	+	0.505754i
$65$	1.02031	+	1.76722i	0.126554	+	0.219197i
$66$	15.9318	−	4.28787i	1.96107	−	0.527800i
$67$	−0.841438	+	1.00279i	−0.102798	+	0.122510i	−0.814990	−	0.579474i	$-0.803258\pi$
$67$	−0.841438	+	1.00279i	−0.102798	+	0.122510i	0.712192	+	0.701984i	$0.247702\pi$
$68$	1.25670	−	1.50444i	0.152397	−	0.182440i
$69$	3.48140	+	2.00999i	0.419112	+	0.241974i
$70$	−1.75559	−	0.468322i	−0.209833	−	0.0559752i
$71$	−0.206961	−	1.17373i	−0.0245617	−	0.139296i	0.970061	−	0.242862i	$-0.0780861\pi$
$71$	−0.206961	−	1.17373i	−0.0245617	−	0.139296i	−0.994623	+	0.103565i	$0.966975\pi$
$72$	1.57144	−	3.39946i	0.185196	−	0.400630i
$73$	−7.95057	−	2.89377i	−0.930544	−	0.338690i	−0.168119	−	0.985767i	$-0.553769\pi$
$73$	−7.95057	−	2.89377i	−0.930544	−	0.338690i	−0.762425	+	0.647076i	$0.775991\pi$
$74$	12.8305	−	1.13687i	1.49151	−	0.132158i
$75$		−	11.1276i		−	1.28491i
$76$	3.53530	−	7.96879i	0.405526	−	0.914083i
$77$			2.24041i			0.255318i
$78$	−0.164625	−	1.85793i	−0.0186401	−	0.210369i
$79$	7.01543	+	2.55341i	0.789298	+	0.287281i	0.705044	−	0.709163i	$-0.250927\pi$
$79$	7.01543	+	2.55341i	0.789298	+	0.287281i	0.0842538	+	0.996444i	$0.473149\pi$
$80$	11.1165	−	6.48407i	1.24286	−	0.724941i
$81$	−1.94817	−	11.0486i	−0.216463	−	1.22762i
$82$	−4.04094	+	15.1482i	−0.446248	+	1.67284i
$83$	−11.8470	−	6.83985i	−1.30037	−	0.750772i	−0.319906	−	0.947449i	$-0.603651\pi$
$83$	−11.8470	−	6.83985i	−1.30037	−	0.750772i	−0.980468	+	0.196678i	$0.936985\pi$
$84$	1.27461	+	1.06471i	0.139071	+	0.116170i
$85$	−2.02697	+	2.41565i	−0.219856	+	0.262014i
$86$	−1.12818	−	4.19182i	−0.121655	−	0.452015i
$87$	−5.74833	−	9.95641i	−0.616286	−	1.06744i
$88$	−11.2579	−	11.1832i	−1.20010	−	1.19214i
$89$	−1.01860	+	0.370741i	−0.107972	+	0.0392985i	−0.395441	−	0.918491i	$-0.629408\pi$
$89$	−1.01860	+	0.370741i	−0.107972	+	0.0392985i	0.287469	+	0.957790i	$0.407186\pi$
$90$	−2.54005	+	5.46298i	−0.267745	+	0.575849i
$91$	0.249434	+	0.0439819i	0.0261478	+	0.00461056i
$92$	−0.00858012	−	3.86639i	−0.000894539	−	0.403099i
$93$	−10.8759	−	12.9614i	−1.12778	−	1.34403i
$94$	−3.36645	+	4.81916i	−0.347223	+	0.497059i
$95$	−5.71555	+	12.8065i	−0.586403	+	1.31392i
$96$	−11.7125	+	1.09022i	−1.19540	+	0.111270i
$97$	2.60728	−	2.18777i	0.264729	−	0.222134i	−0.500755	−	0.865589i	$-0.666944\pi$
$97$	2.60728	−	2.18777i	0.264729	−	0.222134i	0.765484	+	0.643455i	$0.222500\pi$
$98$	7.91829	−	5.55755i	0.799868	−	0.561397i
$99$	7.31573	+	1.28996i	0.735259	+	0.129646i
$100$	−9.25673	+	5.37180i	−0.925673	+	0.537180i
$101$	−3.17023	−	8.71013i	−0.315449	−	0.866690i	−0.991532	−	0.129864i	$-0.958546\pi$
$101$	−3.17023	−	8.71013i	−0.315449	−	0.866690i	0.676082	−	0.736826i	$-0.263676\pi$
$102$	2.61094	−	1.22103i	0.258522	−	0.120900i
$103$	9.20341	+	15.9408i	0.906839	+	1.57069i	0.818429	+	0.574607i	$0.194845\pi$
$103$	9.20341	+	15.9408i	0.906839	+	1.57069i	0.0884095	+	0.996084i	$0.471822\pi$
$104$	−1.46608	+	1.03385i	−0.143761	+	0.101378i
$105$	−2.04662	−	1.71732i	−0.199730	−	0.167593i
$106$	0.689967	−	7.98843i	0.0670155	−	0.775905i
$107$	6.10178	+	3.52286i	0.589881	+	0.340568i	0.765050	−	0.643970i	$-0.222714\pi$
$107$	6.10178	+	3.52286i	0.589881	+	0.340568i	−0.175169	+	0.984538i	$0.556047\pi$
$108$	−5.32931	+	4.49201i	−0.512813	+	0.432244i
$109$	16.6064	−	2.92816i	1.59061	−	0.280467i	0.692891	−	0.721042i	$-0.256337\pi$
$109$	16.6064	−	2.92816i	1.59061	−	0.280467i	0.897715	+	0.440576i	$0.145226\pi$
$110$	18.0703	+	18.0303i	1.72294	+	1.71912i
$111$	17.7975	+	6.47776i	1.68926	+	0.614841i
$112$	0.270392	−	1.57430i	0.0255496	−	0.148757i
$113$	−14.6911			−1.38203			−0.691013	−	0.722842i	$-0.742835\pi$
$113$	−14.6911			−1.38203			−0.691013	+	0.722842i	$0.742835\pi$
$114$	9.67248	−	8.41181i	0.905911	−	0.787838i
$115$			6.21975i			0.579994i
$116$	−5.50746	+	9.58827i	−0.511354	+	0.890248i
$117$	0.287233	−	0.789167i	0.0265547	−	0.0729585i
$118$	−1.59521	+	1.59876i	−0.146851	+	0.147177i
$119$	0.0679662	+	0.385456i	0.00623046	+	0.0353347i
$120$	18.8453	−	1.71198i	1.72034	−	0.156282i
$121$	10.2379	−	17.7325i	0.930717	−	1.61205i
$122$	−1.21806	+	14.1028i	−0.110278	+	1.27680i
$123$	−14.8180	+	17.6594i	−1.33609	+	1.59229i
$124$	−5.53189	+	15.3043i	−0.496779	+	1.37437i
$125$	0.978670	−	0.565036i	0.0875349	−	0.0505383i
$126$	0.316776	+	0.677366i	0.0282207	+	0.0603445i
$127$	−6.30086	+	2.29333i	−0.559111	+	0.203500i	−0.606090	−	0.795396i	$-0.707263\pi$
$127$	−6.30086	+	2.29333i	−0.559111	+	0.203500i	0.0469790	+	0.998896i	$0.485041\pi$
$128$	6.56106	+	9.21697i	0.579921	+	0.814672i
$129$	1.10839	−	6.28597i	0.0975879	−	0.553449i
$130$	2.36212	−	1.65789i	0.207172	−	0.145406i
$131$	2.45157	+	2.92167i	0.214195	+	0.255267i	0.862434	−	0.506169i	$-0.168939\pi$
$131$	2.45157	+	2.92167i	0.214195	+	0.255267i	−0.648240	+	0.761436i	$0.724494\pi$
$132$	−8.02890	−	21.9078i	−0.698826	−	1.90683i
$133$	0.761659	+	1.56518i	0.0660442	+	0.135719i
$134$	1.51765	+	1.06016i	0.131105	+	0.0915840i
$135$	8.58910	−	7.20711i	0.739232	−	0.620290i
$136$	−2.27616	−	1.58252i	−0.195179	−	0.135700i
$137$	−0.496414	+	2.81531i	−0.0424115	+	0.240528i	−0.998643	−	0.0520846i	$-0.983413\pi$
$137$	−0.496414	+	2.81531i	−0.0424115	+	0.240528i	0.956231	+	0.292612i	$0.0945246\pi$
$138$	2.39691	−	5.15512i	0.204039	−	0.438833i
$139$	6.53978	+	17.9679i	0.554696	+	1.52402i	0.827226	+	0.561869i	$0.189917\pi$
$139$	6.53978	+	17.9679i	0.554696	+	1.52402i	−0.272530	+	0.962147i	$0.587860\pi$
$140$	−0.440590	+	2.53155i	−0.0372366	+	0.213955i
$141$	−7.48571	+	4.32188i	−0.630411	+	0.363968i
$142$	−1.62760	+	0.438049i	−0.136585	+	0.0367603i
$143$	−2.72588	−	2.28729i	−0.227950	−	0.191273i
$144$	−4.98495	−	1.78936i	−0.415412	−	0.149113i
$145$	8.89387	−	15.4046i	0.738596	−	1.27929i
$146$	−3.08405	+	11.5611i	−0.255238	+	0.956806i
$147$	14.0084	−	2.47006i	1.15539	−	0.203727i
$148$	−3.20300	−	17.9323i	−0.263285	−	1.47403i
$149$	−6.36276	+	17.4815i	−0.521258	+	1.43214i	0.347863	+	0.937545i	$0.386907\pi$
$149$	−6.36276	+	17.4815i	−0.521258	+	1.43214i	−0.869121	+	0.494599i	$0.835315\pi$
$150$	−15.6754	+	1.38895i	−1.27989	+	0.113407i
$151$	−5.32577			−0.433405			−0.216702	−	0.976238i	$-0.569530\pi$
$151$	−5.32577			−0.433405			−0.216702	+	0.976238i	$0.569530\pi$
$152$	−11.6669	−	3.98549i	−0.946308	−	0.323266i
$153$	1.29778			0.104920
$154$	3.15605	−	0.279648i	0.254322	−	0.0225347i
$155$	8.95359	−	24.5998i	0.719170	−	1.97590i
$156$	−2.59671	+	0.463813i	−0.207903	+	0.0371348i
$157$	−1.27516	+	0.224845i	−0.101769	+	0.0179446i	−0.224301	−	0.974520i	$-0.572010\pi$
$157$	−1.27516	+	0.224845i	−0.101769	+	0.0179446i	0.122532	+	0.992465i	$0.460899\pi$
$158$	2.72131	−	10.2013i	0.216496	−	0.811573i
$159$	5.89492	−	10.2103i	0.467498	−	0.809730i
$160$	−10.5216	−	14.8504i	−0.831809	−	1.17403i
$161$	0.591384	+	0.496230i	0.0466076	+	0.0391084i
$162$	−15.3210	+	4.12346i	−1.20373	+	0.323970i
$163$	10.9849	−	6.34213i	0.860402	−	0.496754i	−0.00374457	−	0.999993i	$-0.501192\pi$
$163$	10.9849	−	6.34213i	0.860402	−	0.496754i	0.864147	+	0.503239i	$0.167859\pi$
$164$	21.8436	+	3.80166i	1.70570	+	0.296859i
$165$	12.8376	+	35.2710i	0.999406	+	2.74584i
$166$	−8.15653	+	17.5425i	−0.633069	+	1.36156i
$167$	1.56852	−	8.89552i	0.121376	−	0.688356i	−0.862019	−	0.506876i	$-0.830800\pi$
$167$	1.56852	−	8.89552i	0.121376	−	0.688356i	0.983395	−	0.181480i	$-0.0580887\pi$
$168$	1.34076	−	1.92843i	0.103442	−	0.148782i
$169$	9.65041	−	8.09766i	0.742339	−	0.622897i
$170$	3.65592	+	2.55386i	0.280396	+	0.195872i
$171$	5.54942	−	1.58590i	0.424375	−	0.121277i
$172$	−5.76417	+	2.11249i	−0.439514	+	0.161075i
$173$	−10.9316	−	13.0278i	−0.831117	−	0.990486i	−0.999988	−	0.00484823i	$-0.998457\pi$
$173$	−10.9316	−	13.0278i	−0.831117	−	0.990486i	0.168872	−	0.985638i	$-0.445988\pi$
$174$	−13.3080	+	9.34041i	−1.00888	+	0.708094i
$175$	0.371077	−	2.10448i	0.0280508	−	0.159084i
$176$	−14.3486	+	17.2549i	−1.08156	+	1.30064i
$177$	−3.12057	+	1.13579i	−0.234556	+	0.0853716i
$178$	0.649403	+	1.38863i	0.0486748	+	0.104082i
$179$	−0.312463	+	0.180400i	−0.0233545	+	0.0134838i	−0.511632	−	0.859205i	$-0.670959\pi$
$179$	−0.312463	+	0.180400i	−0.0233545	+	0.0134838i	0.488277	+	0.872689i	$0.337625\pi$
$180$	8.01272	+	2.89627i	0.597233	+	0.215875i
$181$	5.79643	−	6.90792i	0.430845	−	0.513462i	−0.506321	−	0.862345i	$-0.668995\pi$
$181$	5.79643	−	6.90792i	0.430845	−	0.513462i	0.937166	+	0.348884i	$0.113439\pi$
$182$	0.0308228	−	0.356866i	0.00228474	−	0.0264527i
$183$	−10.4069	+	18.0252i	−0.769298	+	1.33246i
$184$	−5.44549	+	0.494689i	−0.401447	+	0.0364690i
$185$	5.08853	+	28.8585i	0.374116	+	2.12172i
$186$	−16.9011	+	16.9386i	−1.23925	+	1.24200i
$187$	1.88072	−	5.16723i	0.137532	−	0.377865i
$188$	7.20893	+	4.14077i	0.525765	+	0.301997i
$189$		−	1.39167i		−	0.101229i
$190$	18.7538	+	6.45296i	1.36055	+	0.468147i
$191$	−10.9929			−0.795418			−0.397709	−	0.917512i	$-0.630195\pi$
$191$	−10.9929			−0.795418			−0.397709	+	0.917512i	$0.630195\pi$
$192$	2.99774	+	16.3632i	0.216343	+	1.18091i
$193$	3.37303	+	1.22768i	0.242796	+	0.0883705i	0.460552	−	0.887633i	$-0.347652\pi$
$193$	3.37303	+	1.22768i	0.242796	+	0.0883705i	−0.217756	+	0.976003i	$0.569874\pi$
$194$	−3.40734	−	3.39979i	−0.244633	−	0.244090i
$195$	4.17888	−	0.736850i	0.299256	−	0.0527669i
$196$	−8.81725	−	10.4608i	−0.629804	−	0.747197i
$197$	4.94006	+	2.85214i	0.351965	+	0.203207i	0.665550	−	0.746353i	$-0.268197\pi$
$197$	4.94006	+	2.85214i	0.351965	+	0.203207i	−0.313586	+	0.949560i	$0.601530\pi$
$198$	0.904012	−	10.4666i	0.0642453	−	0.743832i
$199$	1.99498	+	1.67398i	0.141420	+	0.118666i	0.710753	−	0.703441i	$-0.248354\pi$
$199$	1.99498	+	1.67398i	0.141420	+	0.118666i	−0.569333	+	0.822107i	$0.692799\pi$
$200$	8.72265	+	12.3694i	0.616784	+	0.874648i
$201$	1.36104	+	2.35740i	0.0960007	+	0.166278i
$202$	−11.8742	+	5.55308i	−0.835466	+	0.390713i
$203$	−0.755119	−	2.07467i	−0.0529990	−	0.145614i
$204$	−2.04596	−	3.52561i	−0.143246	−	0.246842i
$205$	−35.1254	−	6.19356i	−2.45327	−	0.432577i
$206$	21.3069	−	14.9545i	1.48452	−	1.04193i
$207$	1.96087	−	1.64536i	0.136290	−	0.114361i
$208$	1.63938	+	1.93622i	0.113670	+	0.134253i
$209$	1.72771	−	24.3937i	0.119508	−	1.68735i
$210$	−2.16372	+	3.09742i	−0.149311	+	0.213742i
$211$	−7.28347	−	8.68010i	−0.501414	−	0.597562i	0.454668	−	0.890661i	$-0.349758\pi$
$211$	−7.28347	−	8.68010i	−0.501414	−	0.597562i	−0.956082	+	0.293099i	$0.905314\pi$
$212$	−11.3394	+	0.0251639i	−0.778792	+	0.00172826i
$213$	−2.44071	−	0.430363i	−0.167235	−	0.0294880i
$214$	4.20101	−	9.03526i	0.287175	−	0.617638i
$215$	9.28016	−	3.37770i	0.632901	−	0.230357i
$216$	6.99308	+	6.94668i	0.475819	+	0.472662i
$217$	−1.62465	−	2.81397i	−0.110288	−	0.191025i
$218$	−6.19769	−	23.0279i	−0.419761	−	1.55964i
$219$	−11.3091	+	13.4776i	−0.764197	+	0.910735i
$220$	23.1436	−	27.7061i	1.56034	−	1.86794i
$221$	−0.538368	−	0.310827i	−0.0362146	−	0.0209085i
$222$	6.90370	−	25.8798i	0.463346	−	1.73694i
$223$	−2.95525	−	16.7601i	−0.197898	−	1.12234i	−0.908230	−	0.418471i	$-0.862566\pi$
$223$	−2.95525	−	16.7601i	−0.197898	−	1.12234i	0.710332	−	0.703867i	$-0.248545\pi$
$224$	−2.25145	−	0.184396i	−0.150431	−	0.0123205i
$225$	−6.65823	−	2.42340i	−0.443882	−	0.161560i
$226$	1.83375	+	20.6953i	0.121979	+	1.37663i
$227$		−	9.25881i		−	0.614529i	−0.951624	−	0.307264i	$-0.900586\pi$
$227$		−	9.25881i		−	0.614529i	0.951624	−	0.307264i	$-0.0994136\pi$
$228$	−13.0570	−	12.5756i	−0.864720	−	0.832840i
$229$		−	24.0296i		−	1.58792i	−0.607969	−	0.793961i	$-0.708015\pi$
$229$		−	24.0296i		−	1.58792i	0.607969	−	0.793961i	$-0.291985\pi$
$230$	8.76172	−	0.776348i	0.577731	−	0.0511909i
$231$	4.37785	+	1.59341i	0.288041	+	0.104838i
$232$	14.1944	+	6.56151i	0.931907	+	0.430785i
$233$	1.69969	+	9.63943i	0.111350	+	0.631500i	0.988493	+	0.151269i	$0.0483360\pi$
$233$	1.69969	+	9.63943i	0.111350	+	0.631500i	−0.877142	+	0.480231i	$0.840553\pi$
$234$	−1.14755	−	0.306120i	−0.0750175	−	0.0200117i
$235$	−11.5820	−	6.68685i	−0.755524	−	0.436202i
$236$	2.45127	+	2.04761i	0.159564	+	0.133288i
$237$	9.97892	−	11.8924i	0.648201	−	0.772496i
$238$	0.534506	−	0.143856i	0.0346469	−	0.00932482i
$239$	−5.52211	−	9.56458i	−0.357196	−	0.618681i	0.630295	−	0.776355i	$-0.282934\pi$
$239$	−5.52211	−	9.56458i	−0.357196	−	0.618681i	−0.987491	+	0.157674i	$0.949600\pi$
$240$	−4.76394	−	26.3336i	−0.307511	−	1.69983i
$241$	−18.4143	+	6.70226i	−1.18617	+	0.431731i	−0.858377	−	0.513019i	$-0.828527\pi$
$241$	−18.4143	+	6.70226i	−1.18617	+	0.431731i	−0.327793	+	0.944750i	$0.606305\pi$
$242$	−26.2576	−	12.2087i	−1.68790	−	0.784804i
$243$	−12.6789	−	2.23564i	−0.813355	−	0.143416i
$244$	20.0185	−	0.0444242i	1.28155	−	0.00284397i
$245$	14.1466	+	16.8593i	0.903796	+	1.07710i
$246$	26.7263	+	18.6698i	1.70400	+	1.19034i
$247$	−2.68194	−	0.671231i	−0.170648	−	0.0427094i
$248$	22.2496	+	5.88246i	1.41285	+	0.373537i
$249$	−21.7911	+	18.2849i	−1.38095	+	1.15876i
$250$	−0.918120	−	1.30812i	−0.0580670	−	0.0827328i
$251$	0.159117	+	0.0280567i	0.0100434	+	0.00177092i	0.178668	−	0.983909i	$-0.442821\pi$
$251$	0.159117	+	0.0280567i	0.0100434	+	0.00177092i	−0.168624	+	0.985680i	$0.553932\pi$
$252$	0.914661	−	0.530790i	0.0576182	−	0.0334366i
$253$	−3.70951	−	10.1918i	−0.233215	−	0.640752i
$254$	4.01707	+	8.58973i	0.252053	+	0.538968i
$255$	3.27867	+	5.67882i	0.205318	+	0.355622i
$256$	12.1649	−	10.3930i	0.760309	−	0.649562i
$257$	12.9236	+	10.8442i	0.806150	+	0.676440i	0.949686	−	0.313205i	$-0.101403\pi$
$257$	12.9236	+	10.8442i	0.806150	+	0.676440i	−0.143536	+	0.989645i	$0.545847\pi$
$258$	−8.99336	−	0.776762i	−0.559902	−	0.0483591i
$259$	3.14989	+	1.81859i	0.195725	+	0.113002i
$260$	−2.63030	−	3.12057i	−0.163124	−	0.193530i
$261$	−7.20932	+	1.27120i	−0.446246	+	0.0786852i
$262$	3.80973	−	3.81819i	0.235366	−	0.235889i
$263$	9.48538	+	3.45240i	0.584893	+	0.212884i	0.617482	−	0.786585i	$-0.288153\pi$
$263$	9.48538	+	3.45240i	0.584893	+	0.212884i	−0.0325885	+	0.999469i	$0.510375\pi$
$264$	−29.8593	+	14.0448i	−1.83771	+	0.864398i
$265$	18.2413			1.12056
$266$	2.10980	−	1.26831i	0.129360	−	0.0777652i
$267$			2.25407i			0.137947i
$268$	1.30401	−	2.27023i	0.0796552	−	0.138677i
$269$	5.10993	−	14.0394i	0.311558	−	0.855998i	−0.680785	−	0.732483i	$-0.738361\pi$
$269$	5.10993	−	14.0394i	0.311558	−	0.855998i	0.992343	−	0.123515i	$-0.0394166\pi$
$270$	−11.2247	−	11.1998i	−0.683114	−	0.681600i
$271$	2.15517	+	12.2226i	0.130917	+	0.742470i	0.977616	+	0.210397i	$0.0674756\pi$
$271$	2.15517	+	12.2226i	0.130917	+	0.742470i	−0.846699	+	0.532073i	$0.821413\pi$
$272$	−1.94517	+	3.40394i	−0.117943	+	0.206394i
$273$	0.263343	−	0.456123i	0.0159382	−	0.0276058i
$274$	4.02787	+	0.347890i	0.243332	+	0.0210168i
$275$	−19.2979	+	22.9984i	−1.16371	+	1.38685i
$276$	−7.56117	−	2.73305i	−0.455129	−	0.164511i
$277$	−3.13358	+	1.80917i	−0.188279	+	0.108703i	−0.591176	−	0.806542i	$-0.701336\pi$
$277$	−3.13358	+	1.80917i	−0.188279	+	0.108703i	0.402898	+	0.915245i	$0.368003\pi$
$278$	24.4950	−	11.4553i	1.46911	−	0.687043i
$279$	−10.1240	+	3.68484i	−0.606110	+	0.220606i
$280$	3.62117	+	0.304669i	0.216406	+	0.0182074i
$281$	0.452374	−	2.56554i	0.0269864	−	0.153047i	−0.968337	−	0.249647i	$-0.919685\pi$
$281$	0.452374	−	2.56554i	0.0269864	−	0.153047i	0.995323	+	0.0965994i	$0.0307966\pi$
$282$	7.02257	+	10.0056i	0.418188	+	0.595826i
$283$	5.84787	+	6.96922i	0.347620	+	0.414277i	0.911318	−	0.411704i	$-0.135066\pi$
$283$	5.84787	+	6.96922i	0.347620	+	0.414277i	−0.563698	+	0.825981i	$0.690622\pi$
$284$	0.820234	+	2.23811i	0.0486719	+	0.132807i
$285$	20.9594	+	20.2765i	1.24153	+	1.20108i
$286$	−2.88184	+	4.12543i	−0.170407	+	0.243942i
$287$	−3.39131	+	2.84565i	−0.200183	+	0.167973i
$288$	−1.89844	+	7.24562i	−0.111866	+	0.426952i
$289$	−2.78520	+	15.7957i	−0.163835	+	0.929157i
$290$	−22.8106	−	10.6059i	−1.33948	−	0.622802i
$291$	−2.42066	−	6.65070i	−0.141901	−	0.389871i
$292$	16.6710	+	2.90142i	0.975599	+	0.169793i
$293$	7.75290	−	4.47614i	0.452929	−	0.261499i	−0.256137	−	0.966640i	$-0.582450\pi$
$293$	7.75290	−	4.47614i	0.452929	−	0.261499i	0.709067	+	0.705142i	$0.249117\pi$
$294$	−5.22809	−	19.4252i	−0.304908	−	1.13290i
$295$	−3.93596	−	3.30266i	−0.229161	−	0.192289i
$296$	−24.8613	+	6.75035i	−1.44504	+	0.392356i
$297$	−9.77588	+	16.9323i	−0.567254	+	0.982513i
$298$	25.4204	+	6.78114i	1.47256	+	0.392821i
$299$	−1.20752	+	0.212918i	−0.0698324	+	0.0123133i
$300$	3.91321	+	21.9085i	0.225929	+	1.26489i
$301$	0.419241	−	1.15186i	0.0241647	−	0.0663919i
$302$	0.664762	+	7.50238i	0.0382528	+	0.431713i
$303$	−19.2746			−1.10730
$304$	−4.15807	+	16.9325i	−0.238482	+	0.971147i
$305$	−32.2032			−1.84395
$306$	−0.161989	−	1.82818i	−0.00926031	−	0.104510i
$307$	−5.86034	+	16.1012i	−0.334467	+	0.918942i	0.652467	+	0.757817i	$0.273734\pi$
$307$	−5.86034	+	16.1012i	−0.334467	+	0.918942i	−0.986934	+	0.161124i	$0.948488\pi$
$308$	−0.787877	−	4.41101i	−0.0448935	−	0.251341i
$309$	37.6945	−	6.64655i	2.14436	−	0.378109i
$310$	−35.7712	−	9.54233i	−2.03167	−	0.541968i
$311$	4.27120	−	7.39793i	0.242197	−	0.419498i	−0.719143	−	0.694863i	$-0.755465\pi$
$311$	4.27120	−	7.39793i	0.242197	−	0.419498i	0.961340	+	0.275365i	$0.0887985\pi$
$312$	0.977492	+	3.60007i	0.0553396	+	0.203814i
$313$	0.252128	+	0.211561i	0.0142511	+	0.0119581i	0.649885	−	0.760032i	$-0.274817\pi$
$313$	0.252128	+	0.211561i	0.0142511	+	0.0119581i	−0.635634	+	0.771990i	$0.719261\pi$
$314$	0.475903	+	1.76825i	0.0268568	+	0.0997878i
$315$	−1.47328	+	0.850597i	−0.0830098	+	0.0479257i
$316$	−14.7102	−	2.56016i	−0.827514	−	0.144020i
$317$	−4.58015	−	12.5839i	−0.257247	−	0.706781i	−0.999334	−	0.0364774i	$-0.988386\pi$
$317$	−4.58015	−	12.5839i	−0.257247	−	0.706781i	0.742087	−	0.670303i	$-0.233836\pi$
$318$	−15.1190	−	7.02969i	−0.847831	−	0.394206i
$319$	−5.38621	+	30.5467i	−0.301570	+	1.71029i
$320$	−19.6064	+	16.6754i	−1.09603	+	0.932183i
$321$	11.2235	−	9.41761i	0.626433	−	0.525640i
$322$	0.625220	−	0.895019i	0.0348422	−	0.0498775i
$323$	−0.442775	−	4.24928i	−0.0246366	−	0.236436i
$324$	7.72106	+	21.0678i	0.428948	+	1.17044i
$325$	2.18166	+	2.60000i	0.121017	+	0.144222i
$326$	−10.3052	−	14.6827i	−0.570755	−	0.813201i
$327$	6.08895	−	34.5321i	0.336720	−	1.90963i
$328$	2.62885	−	31.2455i	0.145154	−	1.72524i
$329$	−1.55984	+	0.567736i	−0.0859968	+	0.0313003i
$330$	48.0837	−	22.4868i	2.64692	−	1.23786i
$331$	21.7419	−	12.5527i	1.19504	−	0.689957i	0.235595	−	0.971851i	$-0.424296\pi$
$331$	21.7419	−	12.5527i	1.19504	−	0.689957i	0.959446	+	0.281894i	$0.0909627\pi$
$332$	25.7301	+	9.30040i	1.41213	+	0.510426i
$333$	7.75195	−	9.23842i	0.424804	−	0.506262i
$334$	−12.7268	−	1.09923i	−0.696382	−	0.0601470i
$335$	−2.10582	+	3.64739i	−0.115053	+	0.199278i
$336$	−2.88393	−	1.64801i	−0.157331	−	0.0899066i
$337$	0.391528	+	2.22047i	0.0213279	+	0.120956i	0.993613	−	0.112842i	$-0.0359955\pi$
$337$	0.391528	+	2.22047i	0.0213279	+	0.120956i	−0.972285	+	0.233799i	$0.924884\pi$
$338$	−12.6117	−	12.5837i	−0.685985	−	0.684465i
$339$	−10.4485	+	28.7071i	−0.567486	+	1.55915i
$340$	3.14128	−	5.46885i	0.170360	−	0.296590i
$341$			45.6497i			2.47207i
$342$	−2.92673	−	7.61949i	−0.158259	−	0.412015i
$343$	5.52703			0.298432
$344$	3.69533	+	7.85628i	0.199239	+	0.423582i
$345$	12.1536	+	4.42356i	0.654329	+	0.238156i
$346$	−16.9877	+	17.0255i	−0.913266	+	0.915295i
$347$	−17.8872	+	3.15399i	−0.960234	+	0.169315i	−0.631731	−	0.775188i	$-0.717655\pi$
$347$	−17.8872	+	3.15399i	−0.960234	+	0.169315i	−0.328503	+	0.944503i	$0.606544\pi$
$348$	14.8189	+	17.5811i	0.794376	+	0.942445i
$349$	5.27064	+	3.04301i	0.282131	+	0.162888i	0.634388	−	0.773015i	$-0.281252\pi$
$349$	5.27064	+	3.04301i	0.282131	+	0.162888i	−0.352257	+	0.935903i	$0.614586\pi$
$350$	−3.01089	−	0.260053i	−0.160939	−	0.0139004i
$351$	1.69323	+	1.42079i	0.0903780	+	0.0758362i
$352$	26.0979	+	18.0590i	1.39102	+	0.962547i
$353$	9.60848	+	16.6424i	0.511408	+	0.885784i	0.999913	+	0.0132231i	$0.00420917\pi$
$353$	9.60848	+	16.6424i	0.511408	+	0.885784i	−0.488505	+	0.872561i	$0.662457\pi$
$354$	1.98950	+	4.25416i	0.105741	+	0.226106i
$355$	−1.31149	−	3.60329i	−0.0696067	−	0.191243i
$356$	1.87509	−	1.08814i	0.0993796	−	0.0576712i
$357$	0.801534	+	0.141332i	0.0424217	+	0.00748009i
$358$	0.293131	+	0.417647i	0.0154924	+	0.0220733i
$359$	20.3940	−	17.1126i	1.07635	−	0.903167i	0.0807396	−	0.996735i	$-0.474272\pi$
$359$	20.3940	−	17.1126i	1.07635	−	0.903167i	0.995613	+	0.0935683i	$0.0298273\pi$
$360$	3.07981	−	11.6490i	0.162320	−	0.613955i
$361$	−7.08600	−	17.6292i	−0.372947	−	0.927853i
$362$	−10.4547	−	7.30316i	−0.549485	−	0.383845i
$363$	−27.3688	−	32.6168i	−1.43649	−	1.71194i
$364$	−0.506563	+	0.00112414i	−0.0265511	+	5.89211e-5i
$365$	−26.8077	−	4.72693i	−1.40318	−	0.247419i
$366$	26.6910	+	12.4102i	1.39516	+	0.648691i
$367$	−4.28870	+	1.56096i	−0.223868	+	0.0814813i	−0.451519	−	0.892261i	$-0.649118\pi$
$367$	−4.28870	+	1.56096i	−0.223868	+	0.0814813i	0.227651	+	0.973743i	$0.426895\pi$
$368$	1.37657	+	7.60928i	0.0717587	+	0.396661i
$369$	7.33943	+	12.7123i	0.382075	+	0.661774i
$370$	40.0176	−	10.7703i	2.08042	−	0.559921i
$371$	1.45535	−	1.73442i	0.0755580	−	0.0900465i
$372$	25.9709	+	21.6942i	1.34653	+	1.12479i
$373$	9.74698	+	5.62742i	0.504679	+	0.291377i	0.730644	−	0.682759i	$-0.239220\pi$
$373$	9.74698	+	5.62742i	0.504679	+	0.291377i	−0.225964	+	0.974136i	$0.572553\pi$
$374$	−7.51380	−	2.00438i	−0.388529	−	0.103644i
$375$	−0.408060	−	2.31422i	−0.0210721	−	0.119506i
$376$	4.93327	−	10.6720i	0.254414	−	0.550368i
$377$	3.29515	+	1.19934i	0.169709	+	0.0617690i
$378$	−1.96044	+	0.173708i	−0.100834	+	0.00893460i
$379$		−	7.19550i		−	0.369608i	−0.982775	−	0.184804i	$-0.940835\pi$
$379$		−	7.19550i		−	0.369608i	0.982775	−	0.184804i	$-0.0591651\pi$
$380$	6.74939	−	27.2239i	0.346236	−	1.39656i
$381$			13.9432i			0.714330i
$382$	1.37213	+	15.4856i	0.0702044	+	0.792314i
$383$	14.8572	+	5.40758i	0.759168	+	0.276314i	0.692458	−	0.721458i	$-0.256528\pi$
$383$	14.8572	+	5.40758i	0.759168	+	0.276314i	0.0667096	+	0.997772i	$0.478750\pi$
$384$	22.6766	−	6.26536i	1.15721	−	0.319728i
$385$	1.25168	+	7.09864i	0.0637916	+	0.361780i
$386$	1.30841	−	4.90481i	0.0665962	−	0.249648i
$387$	−3.51983	−	2.03218i	−0.178923	−	0.103301i
$388$	−4.36396	+	5.22426i	−0.221546	+	0.265222i
$389$	−16.6362	+	19.8263i	−0.843490	+	1.00523i	0.156357	+	0.987701i	$0.450025\pi$
$389$	−16.6362	+	19.8263i	−0.843490	+	1.00523i	−0.999846	+	0.0175310i	$0.994419\pi$
$390$	−1.55960	−	5.79479i	−0.0789736	−	0.293431i
$391$	−0.947393	−	1.64093i	−0.0479117	−	0.0829855i
$392$	−13.6354	+	13.7265i	−0.688694	+	0.693294i
$393$	7.45263	−	2.71254i	0.375936	−	0.136829i
$394$	3.40118	−	7.31504i	0.171349	−	0.368526i
$395$	23.6546	+	4.17095i	1.19019	+	0.209863i
$396$	−14.8571	+	0.0329703i	−0.746600	+	0.00165682i
$397$	−8.58453	−	10.2306i	−0.430845	−	0.513462i	0.506321	−	0.862345i	$-0.331005\pi$
$397$	−8.58453	−	10.2306i	−0.430845	−	0.513462i	−0.937166	+	0.348884i	$0.886561\pi$
$398$	2.10912	−	3.01926i	0.105721	−	0.151342i
$399$	3.60013	−	0.375133i	0.180232	−	0.0187802i
$400$	16.3359	−	13.8315i	0.816797	−	0.691575i
$401$	19.9579	−	16.7467i	0.996649	−	0.836288i	0.0101325	−	0.999949i	$-0.496775\pi$
$401$	19.9579	−	16.7467i	0.996649	−	0.836288i	0.986517	+	0.163661i	$0.0523302\pi$
$402$	3.15097	−	2.21155i	0.157156	−	0.110302i
$403$	5.08236	+	0.896157i	0.253170	+	0.0446408i
$404$	9.30473	+	16.0340i	0.462928	+	0.797721i
$405$	−12.3454	−	33.9186i	−0.613447	−	1.68543i
$406$	−2.82833	+	1.32269i	−0.140368	+	0.0656442i
$407$	−25.5496	−	44.2532i	−1.26645	−	2.19355i
$408$	−4.71113	+	3.32219i	−0.233236	+	0.164473i
$409$	−21.0336	−	17.6493i	−1.04005	−	0.872702i	−0.0480336	−	0.998846i	$-0.515295\pi$
$409$	−21.0336	−	17.6493i	−1.04005	−	0.872702i	−0.992012	+	0.126144i	$0.959740\pi$
$410$	−4.34048	+	50.2541i	−0.214361	+	2.48187i
$411$	5.14816	+	2.97229i	0.253940	+	0.146612i
$412$	−23.7259	−	28.1483i	−1.16889	−	1.38677i
$413$	−0.628046	+	0.110741i	−0.0309041	+	0.00544923i
$414$	−2.56257	−	2.55689i	−0.125943	−	0.125664i
$415$	−41.3579	−	15.0531i	−2.03018	−	0.738926i
$416$	2.52291	−	2.55106i	0.123696	−	0.125076i
$417$	39.7611			1.94711
$418$	−34.5790	+	0.611015i	−1.69131	+	0.0298857i
$419$		−	19.2095i		−	0.938444i	−0.883080	−	0.469222i	$-0.844534\pi$
$419$		−	19.2095i		−	0.938444i	0.883080	−	0.469222i	$-0.155466\pi$
$420$	4.63339	+	2.66140i	0.226086	+	0.129863i
$421$	3.95210	−	10.8583i	0.192613	−	0.529201i	−0.805363	−	0.592782i	$-0.798030\pi$
$421$	3.95210	−	10.8583i	0.192613	−	0.529201i	0.997977	+	0.0635805i	$0.0202520\pi$
$422$	−11.3185	+	11.3436i	−0.550975	+	0.552199i
$423$	0.955748	+	5.42032i	0.0464701	+	0.263545i
$424$	1.45083	+	15.9706i	0.0704585	+	0.775600i
$425$	−2.62246	+	4.54223i	−0.127208	+	0.220331i
$426$	−0.301601	+	3.49193i	−0.0146126	+	0.169185i
$427$	−2.56927	+	3.06194i	−0.124336	+	0.148177i
$428$	−13.2523	−	4.79016i	−0.640574	−	0.231541i
$429$	−6.40813	+	3.69974i	−0.309387	+	0.178625i
$430$	−5.91650	−	12.6513i	−0.285319	−	0.610100i
$431$	−1.99429	+	0.725861i	−0.0960614	+	0.0349635i	−0.389604	−	0.920983i	$-0.627388\pi$
$431$	−1.99429	+	0.725861i	−0.0960614	+	0.0349635i	0.293542	+	0.955946i	$0.405166\pi$
$432$	8.91287	−	10.7182i	0.428821	−	0.515679i
$433$	−2.82660	+	16.0305i	−0.135838	+	0.770375i	0.838435	+	0.545002i	$0.183471\pi$
$433$	−2.82660	+	16.0305i	−0.135838	+	0.770375i	−0.974273	+	0.225373i	$0.927640\pi$
$434$	−3.76123	+	2.63987i	−0.180545	+	0.126718i
$435$	−23.7758	−	28.3349i	−1.13996	−	1.35856i
$436$	−31.6656	+	11.6050i	−1.51651	+	0.555779i
$437$	−6.05636	−	5.85904i	−0.289715	−	0.280276i
$438$	20.3975	+	14.2488i	0.974629	+	0.680832i
$439$	23.3640	−	19.6047i	1.11510	−	0.935683i	0.116757	−	0.993160i	$-0.462750\pi$
$439$	23.3640	−	19.6047i	1.11510	−	0.935683i	0.998347	+	0.0574770i	$0.0183056\pi$
$440$	−41.9182	−	29.1440i	−1.99837	−	1.38938i
$441$	1.57282	−	8.91989i	0.0748960	−	0.424757i
$442$	−0.370661	+	0.797193i	−0.0176305	+	0.0379186i
$443$	13.4326	+	36.9059i	0.638204	+	1.75345i	0.657296	+	0.753633i	$0.271700\pi$
$443$	13.4326	+	36.9059i	0.638204	+	1.75345i	−0.0190918	+	0.999818i	$0.506077\pi$
$444$	−37.3184	−	6.49489i	−1.77105	−	0.308234i
$445$	−3.02027	+	1.74376i	−0.143175	+	0.0826619i
$446$	−23.2410	+	6.25504i	−1.10049	+	0.296185i
$447$	29.6344	+	24.8662i	1.40166	+	1.17613i
$448$	0.0212684	+	3.19462i	0.00100484	+	0.150932i
$449$	−11.3657	+	19.6860i	−0.536382	+	0.929041i	0.462713	+	0.886508i	$0.346876\pi$
$449$	−11.3657	+	19.6860i	−0.536382	+	0.929041i	−0.999095	+	0.0425327i	$0.986457\pi$
$450$	−2.58275	+	9.68190i	−0.121752	+	0.456409i
$451$	61.2511	−	10.8002i	2.88420	−	0.508562i
$452$	28.9245	−	5.16638i	1.36049	−	0.243006i
$453$	−3.78775	+	10.4068i	−0.177964	+	0.488952i
$454$	−13.0428	+	1.15568i	−0.612130	+	0.0542389i
$455$	0.814893			0.0382028
$456$	−16.0854	+	19.9630i	−0.753269	+	0.934853i
$457$	25.2703			1.18210			0.591048	−	0.806637i	$-0.298714\pi$
$457$	25.2703			1.18210			0.591048	+	0.806637i	$0.298714\pi$
$458$	−33.8504	+	2.99938i	−1.58172	+	0.140152i
$459$	−1.16824	+	3.20972i	−0.0545289	+	0.149817i
$460$	−2.18728	−	12.2457i	−0.101982	−	0.570958i
$461$	26.2579	−	4.62997i	1.22295	−	0.215639i	0.475356	−	0.879794i	$-0.342319\pi$
$461$	26.2579	−	4.62997i	1.22295	−	0.215639i	0.747595	+	0.664154i	$0.231208\pi$
$462$	1.69818	−	6.36594i	0.0790065	−	0.296170i
$463$	−12.3636	+	21.4143i	−0.574584	+	0.995208i	0.421503	+	0.906827i	$0.361503\pi$
$463$	−12.3636	+	21.4143i	−0.574584	+	0.995208i	−0.996087	+	0.0883811i	$0.971831\pi$
$464$	7.47143	−	20.8146i	0.346852	−	0.966291i
$465$	−41.7010	−	34.9913i	−1.93384	−	1.62268i
$466$	13.3669	−	3.59754i	0.619208	−	0.166653i
$467$	16.7094	−	9.64718i	0.773219	−	0.446418i	−0.0608025	−	0.998150i	$-0.519366\pi$
$467$	16.7094	−	9.64718i	0.773219	−	0.446418i	0.834022	+	0.551731i	$0.186033\pi$
$468$	−0.287993	+	1.65475i	−0.0133125	+	0.0764910i
$469$	0.178791	+	0.491224i	0.00825581	+	0.0226826i
$470$	−7.97406	+	17.1501i	−0.367816	+	0.791075i
$471$	−0.467553	+	2.65162i	−0.0215437	+	0.122180i
$472$	2.57849	−	3.70868i	0.118685	−	0.170706i
$473$	−13.1921	+	11.0695i	−0.606575	+	0.508977i
$474$	−17.9984	−	12.5728i	−0.826692	−	0.577490i
$475$	−5.66320	+	22.6276i	−0.259846	+	1.03823i
$476$	−0.269366	−	0.734999i	−0.0123464	−	0.0336886i
$477$	−4.82554	−	5.75086i	−0.220946	−	0.263314i
$478$	−12.7843	+	8.97282i	−0.584740	+	0.410407i
$479$	1.39079	−	7.88755i	0.0635467	−	0.360392i	−0.936408	−	0.350912i	$-0.885872\pi$
$479$	1.39079	−	7.88755i	0.0635467	−	0.360392i	0.999955	−	0.00947921i	$-0.00301737\pi$
$480$	−36.5014	+	9.99790i	−1.66605	+	0.456339i
$481$	−5.42845	+	1.97580i	−0.247516	+	0.0900885i
$482$	11.7399	+	25.1036i	0.534739	+	1.14344i
$483$	1.39025	−	0.802663i	0.0632587	−	0.0365224i
$484$	−13.9208	+	38.5129i	−0.632765	+	1.75059i
$485$	7.03879	−	8.38850i	0.319615	−	0.380902i
$486$	−1.56675	+	18.1398i	−0.0710691	+	0.822839i
$487$	8.35244	−	14.4669i	0.378485	−	0.655556i	−0.612357	−	0.790582i	$-0.709778\pi$
$487$	8.35244	−	14.4669i	0.378485	−	0.655556i	0.990842	+	0.135026i	$0.0431117\pi$
$488$	−2.56129	−	28.1944i	−0.115944	−	1.27630i
$489$	−4.58018	−	25.9755i	−0.207123	−	1.17465i
$490$	21.9838	−	22.0327i	0.993129	−	0.995335i
$491$	−3.89459	+	10.7003i	−0.175761	+	0.482898i	−0.996024	−	0.0890882i	$-0.971605\pi$
$491$	−3.89459	+	10.7003i	−0.175761	+	0.482898i	0.820263	+	0.571986i	$0.193827\pi$
$492$	22.9640	−	39.9795i	1.03530	−	1.80241i
$493$			5.41886i			0.244053i
$494$	−0.610800	+	3.86181i	−0.0274812	+	0.173751i
$495$	23.9003			1.07424
$496$	5.50939	−	32.0772i	0.247379	−	1.44031i
$497$	−0.447242	−	0.162783i	−0.0200615	−	0.00730180i
$498$	28.4778	+	28.4146i	1.27612	+	1.27329i
$499$	−19.2447	+	3.39336i	−0.861512	+	0.151908i	−0.586912	−	0.809651i	$-0.699657\pi$
$499$	−19.2447	+	3.39336i	−0.861512	+	0.151908i	−0.274600	+	0.961559i	$0.588545\pi$
$500$	−1.72814	+	1.45663i	−0.0772848	+	0.0651425i
$501$	−16.2666	−	9.39155i	−0.726740	−	0.419583i
$502$	0.0196623	−	0.227650i	0.000877570	−	0.0101605i
$503$	24.9903	+	20.9694i	1.11426	+	0.934979i	0.998301	−	0.0582747i	$-0.0185599\pi$
$503$	24.9903	+	20.9694i	1.11426	+	0.934979i	0.115964	+	0.993253i	$0.463004\pi$
$504$	−0.861889	−	1.22223i	−0.0383916	−	0.0544422i
$505$	−14.9109	−	25.8265i	−0.663528	−	1.14926i
$506$	−13.8941	+	6.49770i	−0.617668	+	0.288858i
$507$	−8.95965	−	24.6164i	−0.397912	−	1.09325i
$508$	11.5989	−	6.73099i	0.514618	−	0.298639i
$509$	−20.6972	−	3.64947i	−0.917385	−	0.161760i	−0.305030	−	0.952343i	$-0.598667\pi$
$509$	−20.6972	−	3.64947i	−0.917385	−	0.161760i	−0.612355	+	0.790583i	$0.709778\pi$
$510$	7.59048	−	5.32747i	0.336112	−	0.235904i
$511$	−2.58825	+	2.17180i	−0.114497	+	0.0960747i
$512$	−16.1590	−	15.8394i	−0.714133	−	0.700010i
$513$	−1.07320	+	15.1526i	−0.0473828	+	0.669005i
$514$	13.6630	−	19.5589i	0.602649	−	0.862707i
$515$	38.0665	+	45.3658i	1.67741	+	1.99906i
$516$	0.0283294	+	12.7658i	0.00124713	+	0.561985i
$517$	22.9665	+	4.04961i	1.01007	+	0.178102i
$518$	2.16867	−	4.66423i	0.0952858	−	0.204934i
$519$	−33.2316	+	12.0953i	−1.45870	+	0.530925i
$520$	−4.06762	+	4.09479i	−0.178377	+	0.179569i
$521$	−14.9845	−	25.9539i	−0.656483	−	1.13706i	−0.981520	−	0.191361i	$-0.938710\pi$
$521$	−14.9845	−	25.9539i	−0.656483	−	1.13706i	0.325036	−	0.945702i	$-0.394623\pi$
$522$	2.69060	+	9.99706i	0.117764	+	0.437559i
$523$	−1.57538	+	1.87747i	−0.0688866	+	0.0820959i	−0.799387	−	0.600816i	$-0.794842\pi$
$523$	−1.57538	+	1.87747i	−0.0688866	+	0.0820959i	0.730501	+	0.682912i	$0.239287\pi$
$524$	−5.85420	−	4.89016i	−0.255742	−	0.213627i
$525$	−3.84833	−	2.22183i	−0.167955	−	0.0969688i
$526$	3.67941	−	13.7929i	0.160430	−	0.601400i
$527$	1.38485	+	7.85388i	0.0603251	+	0.342120i
$528$	23.5119	+	40.3095i	1.02322	+	1.75425i
$529$	18.1011	+	6.58825i	0.787003	+	0.286446i
$530$	−2.27688	−	25.6965i	−0.0989015	−	1.11618i
$531$			2.11455i			0.0917639i
$532$	−2.05001	−	2.81375i	−0.0888791	−	0.121991i
$533$		−	7.03135i		−	0.304562i
$534$	3.17529	−	0.281353i	0.137408	−	0.0121753i
$535$	21.3014	+	7.75307i	0.920939	+	0.335194i
$536$	−3.36083	−	1.55358i	−0.145166	−	0.0671046i
$537$	0.130282	+	0.738867i	0.00562209	+	0.0318845i
$538$	−20.4151	−	5.44593i	−0.880156	−	0.234791i
$539$	−33.2360	−	19.1888i	−1.43158	−	0.826521i
$540$	−14.3761	+	17.2102i	−0.618648	+	0.740607i
$541$	7.11092	−	8.47446i	0.305722	−	0.364346i	−0.591207	−	0.806520i	$-0.701348\pi$
$541$	7.11092	−	8.47446i	0.305722	−	0.364346i	0.896929	+	0.442174i	$0.145793\pi$
$542$	16.9489	−	4.56160i	0.728017	−	0.195938i
$543$	−9.37585	−	16.2395i	−0.402356	−	0.696902i
$544$	5.03790	+	2.31527i	0.215998	+	0.0992665i
$545$	50.9808	−	18.5555i	2.18378	−	0.794830i
$546$	−0.675409	−	0.314036i	−0.0289048	−	0.0134395i
$547$	−4.49613	−	0.792789i	−0.192241	−	0.0338972i	0.0766988	−	0.997054i	$-0.475562\pi$
$547$	−4.49613	−	0.792789i	−0.192241	−	0.0338972i	−0.268939	+	0.963157i	$0.586673\pi$
$548$	−0.0126879	−	5.71746i	−0.000542002	−	0.244238i
$549$	8.51900	+	10.1525i	0.363582	+	0.433300i
$550$	34.8064	+	24.3142i	1.48415	+	1.03676i
$551$	6.62190	+	23.1715i	0.282102	+	0.987139i
$552$	−2.90625	+	10.9925i	−0.123698	+	0.467873i
$553$	2.28382	−	1.91635i	0.0971179	−	0.0814916i
$554$	2.93970	+	4.18843i	0.124896	+	0.177950i
$555$	60.0096	+	10.5813i	2.54727	+	0.449152i
$556$	−19.1945	−	33.0761i	−0.814027	−	1.40274i
$557$	12.5760	+	34.5524i	0.532864	+	1.46403i	0.855648	+	0.517559i	$0.173159\pi$
$557$	12.5760	+	34.5524i	0.532864	+	1.46403i	−0.322784	+	0.946473i	$0.604619\pi$
$558$	6.45450	+	13.8017i	0.273241	+	0.584273i
$559$	0.973437	+	1.68604i	0.0411720	+	0.0713120i
$560$	−0.0228093	−	5.13915i	−0.000963868	−	0.217169i
$561$	−8.75938	−	7.34999i	−0.369821	−	0.310317i
$562$	−3.67053	−	0.317026i	−0.154832	−	0.0133729i
$563$	−15.2628	−	8.81195i	−0.643248	−	0.371380i	0.142616	−	0.989778i	$-0.454448\pi$
$563$	−15.2628	−	8.81195i	−0.643248	−	0.371380i	−0.785865	+	0.618398i	$0.787782\pi$
$564$	13.2183	−	11.1416i	0.556591	−	0.469144i
$565$	−46.5482	+	8.20771i	−1.95830	+	0.345301i
$566$	9.08757	−	9.10776i	0.381979	−	0.382828i
$567$	−4.20999	−	1.53231i	−0.176803	−	0.0643511i
$568$	3.05043	−	1.43482i	0.127993	−	0.0602037i
$569$	30.8712			1.29419			0.647094	−	0.762411i	$-0.275984\pi$
$569$	30.8712			1.29419			0.647094	+	0.762411i	$0.275984\pi$
$570$	25.9473	−	32.0563i	1.08681	−	1.34269i
$571$		−	11.3096i		−	0.473293i	−0.971596	−	0.236646i	$-0.923952\pi$
$571$		−	11.3096i		−	0.473293i	0.971596	−	0.236646i	$-0.0760483\pi$
$572$	6.17119	+	3.54470i	0.258030	+	0.148211i
$573$	−7.81828	+	21.4805i	−0.326613	+	0.897363i
$574$	4.43195	+	4.42212i	0.184986	+	0.184576i
$575$	1.79639	+	10.1879i	0.0749148	+	0.424863i
$576$	10.4438	+	1.76992i	0.435159	+	0.0737467i
$577$	−11.5972	+	20.0870i	−0.482799	+	0.836232i	−0.999805	−	0.0197494i	$-0.993713\pi$
$577$	−11.5972	+	20.0870i	−0.482799	+	0.836232i	0.517006	+	0.855982i	$0.327046\pi$
$578$	22.5989	+	1.95188i	0.939991	+	0.0811877i
$579$	4.79788	−	5.71789i	0.199393	−	0.237627i
$580$	−12.0933	+	33.4569i	−0.502148	+	1.38922i
$581$	−4.73093	+	2.73141i	−0.196272	+	0.113318i
$582$	−9.06666	+	4.24011i	−0.375825	+	0.175758i
$583$	−29.8906	+	10.8793i	−1.23794	+	0.450574i
$584$	2.00634	−	23.8466i	0.0830230	−	0.986778i
$585$	0.469191	−	2.66091i	0.0193987	−	0.110015i
$586$	−7.27323	−	10.3628i	−0.300454	−	0.428081i
$587$	−4.58290	−	5.46169i	−0.189157	−	0.225428i	0.663128	−	0.748506i	$-0.269228\pi$
$587$	−4.58290	−	5.46169i	−0.189157	−	0.225428i	−0.852285	+	0.523077i	$0.824784\pi$
$588$	−26.7117	+	9.78944i	−1.10157	+	0.403710i
$589$	15.5192	+	31.8915i	0.639459	+	1.31407i
$590$	−4.16116	+	5.95681i	−0.171312	+	0.245238i
$591$	9.08663	−	7.62459i	0.373774	−	0.313634i
$592$	12.6124	+	34.1794i	0.518365	+	1.40477i
$593$	1.77268	−	10.0533i	0.0727951	−	0.412842i	−0.926534	−	0.376212i	$-0.877227\pi$
$593$	1.77268	−	10.0533i	0.0727951	−	0.412842i	0.999329	−	0.0366300i	$-0.0116623\pi$
$594$	25.0727	+	11.6577i	1.02875	+	0.478323i
$595$	0.430696	+	1.18333i	0.0176568	+	0.0485117i
$596$	6.37959	−	36.6559i	0.261318	−	1.50149i
$597$	4.68988	−	2.70770i	0.191944	−	0.110819i
$598$	0.450658	+	1.67444i	0.0184288	+	0.0684731i
$599$	−4.27108	−	3.58386i	−0.174511	−	0.146432i	0.551348	−	0.834275i	$-0.314113\pi$
$599$	−4.27108	−	3.58386i	−0.174511	−	0.146432i	−0.725860	+	0.687843i	$0.758558\pi$
$600$	30.3739	−	8.24714i	1.24001	−	0.336688i
$601$	2.47329	−	4.28387i	0.100888	−	0.174743i	−0.811163	−	0.584820i	$-0.801165\pi$
$601$	2.47329	−	4.28387i	0.100888	−	0.174743i	0.912051	+	0.410078i	$0.134498\pi$
$602$	−1.67494	−	0.446808i	−0.0682656	−	0.0182106i
$603$	1.70696	−	0.300984i	0.0695130	−	0.0122570i
$604$	10.4856	−	1.87289i	0.426652	−	0.0762069i
$605$	22.5314	−	61.9046i	0.916032	−	2.51678i
$606$	2.40586	+	27.1521i	0.0977314	+	1.10298i
$607$	−8.74391			−0.354904			−0.177452	−	0.984129i	$-0.556785\pi$
$607$	−8.74391			−0.354904			−0.177452	+	0.984129i	$0.556785\pi$
$608$	24.3718	+	3.74394i	0.988406	+	0.151837i
$609$	−4.59104			−0.186038
$610$	4.01960	+	45.3645i	0.162749	+	1.83675i
$611$	0.901720	−	2.47746i	0.0364797	−	0.100227i
$612$	−2.55513	+	0.456387i	−0.103285	+	0.0184483i
$613$	−38.3746	+	6.76648i	−1.54994	+	0.273296i	−0.882118	−	0.471029i	$-0.843883\pi$
$613$	−38.3746	+	6.76648i	−1.54994	+	0.273296i	−0.667818	+	0.744324i	$0.732772\pi$
$614$	23.4131	+	6.24569i	0.944876	+	0.252055i
$615$	−37.0841	+	64.2316i	−1.49538	+	2.59007i
$616$	−6.11542	+	1.66046i	−0.246397	+	0.0669018i
$617$	−22.8437	−	19.1681i	−0.919652	−	0.771680i	0.0542782	−	0.998526i	$-0.482714\pi$
$617$	−22.8437	−	19.1681i	−0.919652	−	0.771680i	−0.973931	+	0.226846i	$0.927159\pi$
$618$	−14.0680	−	52.2704i	−0.565897	−	2.10262i
$619$	3.35151	−	1.93499i	0.134708	−	0.0777739i	−0.431131	−	0.902289i	$-0.641885\pi$
$619$	3.35151	−	1.93499i	0.134708	−	0.0777739i	0.565840	+	0.824515i	$0.308552\pi$
$620$	−8.97727	+	51.5817i	−0.360536	+	2.07157i
$621$	2.30423	+	6.33082i	0.0924655	+	0.254047i
$622$	−10.9545	−	5.09340i	−0.439237	−	0.204227i
$623$	−0.0751673	+	0.426295i	−0.00301151	+	0.0170791i
$624$	4.94939	−	1.82635i	0.198134	−	0.0731124i
$625$	−17.7113	+	14.8615i	−0.708450	+	0.594460i
$626$	0.266554	−	0.381579i	0.0106536	−	0.0152510i
$627$	−46.4376	−	20.7251i	−1.85454	−	0.827682i
$628$	2.43151	−	0.891115i	0.0970280	−	0.0355593i
$629$	−5.73821	−	6.83854i	−0.228798	−	0.272670i
$630$	1.38213	+	1.96923i	0.0550652	+	0.0784558i
$631$	−4.40826	+	25.0005i	−0.175490	+	0.995253i	0.762087	+	0.647475i	$0.224175\pi$
$631$	−4.40826	+	25.0005i	−0.175490	+	0.995253i	−0.937577	+	0.347778i	$0.886936\pi$
$632$	−1.77036	+	21.0418i	−0.0704210	+	0.836996i
$633$	−22.1413	+	8.05879i	−0.880039	+	0.320308i
$634$	−17.1551	+	8.02276i	−0.681317	+	0.318624i
$635$	−18.6828	+	10.7865i	−0.741402	+	0.428049i
$636$	−8.01554	+	22.1755i	−0.317837	+	0.879316i
$637$	−2.78883	+	3.32360i	−0.110497	+	0.131686i
$638$	43.7033	+	3.77468i	1.73023	+	0.149441i
$639$	−0.789052	+	1.36668i	−0.0312144	+	0.0540650i
$640$	25.9378	+	25.5380i	1.02528	+	1.00948i
$641$	−3.06640	−	17.3904i	−0.121115	−	0.686880i	−0.983539	−	0.180693i	$-0.942166\pi$
$641$	−3.06640	−	17.3904i	−0.121115	−	0.686880i	0.862424	−	0.506187i	$-0.168945\pi$
$642$	−14.6674	−	14.6349i	−0.578878	−	0.577595i
$643$	−6.49835	+	17.8541i	−0.256270	+	0.704096i	0.743120	+	0.669159i	$0.233345\pi$
$643$	−6.49835	+	17.8541i	−0.256270	+	0.704096i	−0.999390	+	0.0349373i	$0.988877\pi$
$644$	−1.33885	−	0.769028i	−0.0527580	−	0.0303039i
$645$		−	20.5361i		−	0.808606i
$646$	−5.93067	+	1.15413i	−0.233339	+	0.0454086i
$647$	30.0626			1.18188			0.590942	−	0.806714i	$-0.298756\pi$
$647$	30.0626			1.18188			0.590942	+	0.806714i	$0.298756\pi$
$648$	28.7144	−	13.5063i	1.12801	−	0.530578i
$649$	8.41928	+	3.06437i	0.330486	+	0.120287i
$650$	3.39029	−	3.39783i	0.132978	−	0.133274i
$651$	−6.65407	+	1.17329i	−0.260794	+	0.0459849i
$652$	−19.3972	+	16.3496i	−0.759652	+	0.640301i
$653$	27.4148	+	15.8279i	1.07282	+	0.619394i	0.928951	−	0.370202i	$-0.120712\pi$
$653$	27.4148	+	15.8279i	1.07282	+	0.619394i	0.143871	+	0.989596i	$0.454045\pi$
$654$	−49.4052	−	4.26717i	−1.93190	−	0.166859i
$655$	9.39998	+	7.88752i	0.367287	+	0.308191i
$656$	−44.3435	+	0.196811i	−1.73132	+	0.00768419i
$657$	5.60145	+	9.70200i	0.218534	+	0.378511i
$658$	0.994465	+	2.12647i	0.0387683	+	0.0828986i
$659$	4.83443	+	13.2825i	0.188323	+	0.517412i	0.997540	−	0.0700970i	$-0.0223309\pi$
$659$	4.83443	+	13.2825i	0.188323	+	0.517412i	−0.809218	+	0.587509i	$0.800109\pi$
$660$	−37.6788	−	64.9284i	−1.46665	−	2.52734i
$661$	12.5373	+	2.21066i	0.487643	+	0.0859846i	0.412063	−	0.911155i	$-0.364808\pi$
$661$	12.5373	+	2.21066i	0.487643	+	0.0859846i	0.0755794	+	0.997140i	$0.475919\pi$
$662$	−20.3967	−	29.0608i	−0.792740	−	1.12948i
$663$	−0.990262	+	0.830928i	−0.0384586	+	0.0322706i
$664$	9.88978	−	37.4068i	0.383798	−	1.45166i
$665$	3.28773	+	4.53369i	0.127493	+	0.175809i
$666$	−13.9817	−	9.76699i	−0.541780	−	0.378463i
$667$	6.87018	+	8.18757i	0.266015	+	0.317024i
$668$	0.0400901	+	18.0654i	0.00155113	+	0.698973i
$669$	−34.8517	−	6.14529i	−1.34744	−	0.237591i
$670$	5.40090	+	2.51119i	0.208655	+	0.0970157i
$671$	52.7688	−	19.2063i	2.03712	−	0.741449i
$672$	−1.96158	+	4.26828i	−0.0756695	+	0.164652i
$673$	−10.3959	−	18.0063i	−0.400734	−	0.694092i	0.593080	−	0.805143i	$-0.297912\pi$
$673$	−10.3959	−	18.0063i	−0.400734	−	0.694092i	−0.993815	+	0.111051i	$0.964578\pi$
$674$	3.07909	−	0.828702i	0.118602	−	0.0319204i
$675$	11.9873	−	14.2859i	0.461390	−	0.549863i
$676$	−16.1524	+	19.3367i	−0.621248	+	0.743720i
$677$	13.1109	+	7.56956i	0.503891	+	0.290922i	0.730319	−	0.683106i	$-0.239371\pi$
$677$	13.1109	+	7.56956i	0.503891	+	0.290922i	−0.226428	+	0.974028i	$0.572705\pi$
$678$	41.7437	+	11.1356i	1.60316	+	0.427658i
$679$	−0.236017	−	1.33852i	−0.00905751	−	0.0513677i
$680$	−8.09603	−	3.74248i	−0.310468	−	0.143518i
$681$	−18.0921	−	6.58498i	−0.693290	−	0.252337i
$682$	64.3064	−	5.69799i	2.46242	−	0.218187i
$683$		−	21.1079i		−	0.807672i	−0.914831	−	0.403836i	$-0.867677\pi$
$683$		−	21.1079i		−	0.807672i	0.914831	−	0.403836i	$-0.132323\pi$
$684$	−10.3682	+	5.07393i	−0.396439	+	0.194007i
$685$			9.19751i			0.351419i
$686$	−0.689884	−	7.78590i	−0.0263399	−	0.297267i
$687$	−46.9548	−	17.0902i	−1.79144	−	0.652030i
$688$	10.6058	−	6.18621i	0.404344	−	0.235847i
$689$	0.624447	+	3.54142i	0.0237895	+	0.134917i
$690$	4.71443	−	17.6729i	0.179475	−	0.672796i
$691$	15.2719	+	8.81722i	0.580969	+	0.335423i	0.761518	−	0.648143i	$-0.224454\pi$
$691$	15.2719	+	8.81722i	0.580969	+	0.335423i	−0.180549	+	0.983566i	$0.557788\pi$
$692$	26.1041	+	21.8054i	0.992328	+	0.828917i
$693$	1.90684	−	2.27248i	0.0724347	−	0.0863243i
$694$	6.67569	+	24.8039i	0.253406	+	0.941543i
$695$	30.7594	+	53.2768i	1.16677	+	2.02090i
$696$	22.9167	−	23.0698i	0.868654	−	0.874457i
$697$	10.2104	−	3.71629i	0.386747	−	0.140764i
$698$	3.62878	−	7.80455i	0.137352	−	0.295407i
$699$	20.0447	+	3.53441i	0.758159	+	0.133684i
$700$	0.00948443	+	4.27389i	0.000358478	+	0.161538i
$701$	−5.42017	−	6.45951i	−0.204717	−	0.243972i	0.653911	−	0.756572i	$-0.273127\pi$
$701$	−5.42017	−	6.45951i	−0.204717	−	0.243972i	−0.858628	+	0.512599i	$0.828683\pi$
$702$	1.79011	−	2.56259i	0.0675634	−	0.0967187i
$703$	−32.8938	−	22.2300i	−1.24061	−	0.838420i
$704$	22.1820	−	39.0180i	0.836017	−	1.47055i
$705$	−21.3036	+	17.8758i	−0.802340	+	0.673243i
$706$	22.2447	−	15.6127i	0.837190	−	0.587592i
$707$	−3.64527	−	0.642759i	−0.137094	−	0.0241735i
$708$	5.74448	−	3.33360i	0.215891	−	0.125284i
$709$	−13.5196	−	37.1449i	−0.507741	−	1.39501i	−0.883562	−	0.468314i	$-0.844862\pi$
$709$	−13.5196	−	37.1449i	−0.507741	−	1.39501i	0.375821	−	0.926692i	$-0.377361\pi$
$710$	−4.91224	+	2.29725i	−0.184353	+	0.0862144i
$711$	−4.94262	−	8.56086i	−0.185363	−	0.321057i
$712$	−1.76690	−	2.50561i	−0.0662175	−	0.0939016i
$713$	12.0498	+	10.1110i	0.451268	+	0.378659i
$714$	0.0990463	−	1.14676i	0.00370671	−	0.0429163i
$715$	−9.91471	−	5.72426i	−0.370789	−	0.214075i
$716$	0.551748	−	0.465062i	0.0206198	−	0.0173802i
$717$	−22.6170	+	3.98798i	−0.844646	+	0.148934i
$718$	−26.6520	−	26.5929i	−0.994642	−	0.992437i
$719$	−38.2874	−	13.9355i	−1.42788	−	0.519705i	−0.491555	−	0.870846i	$-0.663571\pi$
$719$	−38.2874	−	13.9355i	−1.42788	−	0.519705i	−0.936322	+	0.351141i	$0.885794\pi$
$720$	−16.7943	−	2.88449i	−0.625886	−	0.107499i
$721$	7.35052			0.273748
$722$	−23.9497	+	12.1825i	−0.891315	+	0.453385i
$723$			40.7490i			1.51547i
$724$	−8.98297	+	15.6390i	−0.333849	+	0.581219i
$725$	10.1188	−	27.8013i	0.375805	−	1.03251i
$726$	−42.5310	+	42.6255i	−1.57847	+	1.58198i
$727$	−1.48274	−	8.40905i	−0.0549919	−	0.311874i	0.944888	−	0.327395i	$-0.106171\pi$
$727$	−1.48274	−	8.40905i	−0.0549919	−	0.311874i	−0.999880	+	0.0155203i	$0.995060\pi$
$728$	0.0648127	+	0.713452i	0.00240212	+	0.0264423i
$729$	3.44264	−	5.96282i	0.127505	−	0.220845i
$730$	−3.31266	+	38.3539i	−0.122607	+	1.41954i
$731$	−1.93386	+	2.30468i	−0.0715263	+	0.0852417i
$732$	14.1506	−	39.1485i	0.523021	−	1.44697i
$733$	−19.6710	+	11.3571i	−0.726566	+	0.419483i	−0.817165	−	0.576404i	$-0.804455\pi$
$733$	−19.6710	+	11.3571i	−0.726566	+	0.419483i	0.0905985	+	0.995887i	$0.471122\pi$
$734$	2.73423	+	5.84662i	0.100922	+	0.215803i
$735$	43.0050	−	15.6526i	1.58626	−	0.577353i
$736$	10.5473	−	2.88896i	0.388780	−	0.106488i
$737$	1.27530	−	7.23260i	0.0469764	−	0.266416i
$738$	16.9916	−	11.9258i	0.625469	−	0.438993i
$739$	−21.4194	−	25.5267i	−0.787927	−	0.939015i	0.211336	−	0.977414i	$-0.432219\pi$
$739$	−21.4194	−	25.5267i	−0.787927	−	0.939015i	−0.999262	+	0.0383990i	$0.987774\pi$
$740$	−20.1670	−	55.0282i	−0.741355	−	2.02288i
$741$	−3.21904	+	4.76322i	−0.118254	+	0.174981i
$742$	−2.62492	−	1.83365i	−0.0963639	−	0.0673155i
$743$	−36.7757	+	30.8585i	−1.34917	+	1.13209i	−0.370002	+	0.929031i	$0.620643\pi$
$743$	−36.7757	+	30.8585i	−1.34917	+	1.13209i	−0.979167	+	0.203056i	$0.934913\pi$
$744$	27.3188	−	39.2930i	1.00155	−	1.44055i
$745$	−10.3935	+	58.9443i	−0.380787	+	2.15955i
$746$	6.71070	−	14.4329i	0.245696	−	0.528427i
$747$	6.19508	+	17.0208i	0.226666	+	0.622760i
$748$	−1.88569	+	10.8348i	−0.0689477	+	0.396161i
$749$	2.43666	−	1.40681i	0.0890338	−	0.0514037i
$750$	−3.20910	+	0.863692i	−0.117180	+	0.0315376i
$751$	27.1674	+	22.7962i	0.991354	+	0.831845i	0.985763	−	0.168140i	$-0.0537759\pi$
$751$	27.1674	+	22.7962i	0.991354	+	0.831845i	0.00559078	+	0.999984i	$0.498220\pi$
$752$	−15.6494	−	5.61738i	−0.570675	−	0.204845i
$753$	0.167990	−	0.290967i	0.00612190	−	0.0106034i
$754$	1.27820	−	4.79156i	0.0465492	−	0.174498i
$755$	−16.8745	+	2.97542i	−0.614124	+	0.108287i
$756$	0.489404	+	2.73998i	0.0177995	+	0.0996521i
$757$	1.00191	−	2.75273i	0.0364151	−	0.100050i	−0.920153	−	0.391560i	$-0.871936\pi$
$757$	1.00191	−	2.75273i	0.0364151	−	0.100050i	0.956568	+	0.291510i	$0.0941578\pi$
$758$	−10.1363	+	0.898143i	−0.368166	+	0.0326220i
$759$	−22.5534			−0.818637
$760$	−39.1926	−	6.10974i	−1.42167	−	0.221624i
$761$	−23.8366			−0.864074			−0.432037	−	0.901856i	$-0.642205\pi$
$761$	−23.8366			−0.864074			−0.432037	+	0.901856i	$0.642205\pi$
$762$	19.6417	−	1.74039i	0.711542	−	0.0630475i
$763$	2.30311	−	6.32775i	0.0833783	−	0.229080i
$764$	21.6433	−	3.86583i	0.783025	−	0.139861i
$765$	4.11197	−	0.725051i	0.148669	−	0.0262143i
$766$	5.76315	−	21.6042i	0.208231	−	0.780593i
$767$	0.506449	−	0.877195i	0.0182868	−	0.0316737i
$768$	−11.6565	−	31.1624i	−0.420616	−	1.12448i
$769$	4.44629	+	3.73088i	0.160337	+	0.134539i	0.719427	−	0.694569i	$-0.244405\pi$
$769$	4.44629	+	3.73088i	0.160337	+	0.134539i	−0.559089	+	0.829107i	$0.688849\pi$
$770$	9.84358	−	2.64929i	0.354738	−	0.0954738i
$771$	30.3813	−	17.5407i	1.09416	−	0.631711i
$772$	−7.07269	−	1.23093i	−0.254552	−	0.0443021i
$773$	2.79175	+	7.67027i	0.100412	+	0.275881i	0.979719	−	0.200375i	$-0.0642160\pi$
$773$	2.79175	+	7.67027i	0.100412	+	0.275881i	−0.879307	+	0.476255i	$0.841994\pi$
$774$	−2.42337	+	5.21202i	−0.0871062	+	0.187342i
$775$	7.56091	−	42.8801i	0.271596	−	1.54030i
$776$	7.90410	+	5.49539i	0.283741	+	0.197273i
$777$	5.79384	−	4.86161i	0.207853	−	0.174409i
$778$	30.0057	+	20.9606i	1.07576	+	0.751475i
$779$	39.1192	−	28.3684i	1.40159	−	1.01640i
$780$	−7.96842	+	2.92031i	−0.285315	+	0.104564i
$781$	4.29807	+	5.12224i	0.153797	+	0.183288i
$782$	−2.19332	+	1.53941i	−0.0784329	+	0.0550491i
$783$	3.34574	−	18.9746i	0.119567	−	0.678098i
$784$	21.0385	+	17.4948i	0.751373	+	0.624815i
$785$	−3.91467	+	1.42482i	−0.139721	+	0.0508541i
$786$	−4.75137	−	10.1599i	−0.169476	−	0.362392i
$787$	−31.4477	+	18.1563i	−1.12099	+	0.647203i	−0.941653	−	0.336585i	$-0.890728\pi$
$787$	−31.4477	+	18.1563i	−1.12099	+	0.647203i	−0.179336	+	0.983788i	$0.557395\pi$
$788$	−10.7292	−	3.87816i	−0.382212	−	0.138154i
$789$	13.4922	−	16.0794i	0.480336	−	0.572442i
$790$	2.92303	−	33.8428i	0.103997	−	1.20407i
$791$	−2.93336	+	5.08072i	−0.104298	+	0.180650i
$792$	1.90091	+	20.9251i	0.0675460	+	0.743540i
$793$	−1.10240	−	6.25200i	−0.0391473	−	0.222015i
$794$	−13.3403	+	13.3700i	−0.473431	+	0.474483i
$795$	12.9735	−	35.6443i	0.460121	−	1.26417i
$796$	−4.51647	−	2.59424i	−0.160082	−	0.0919504i
$797$			18.8406i			0.667370i	0.942685	+	0.333685i	$0.108292\pi$
$797$			18.8406i			0.667370i	−0.942685	+	0.333685i	$0.891708\pi$
$798$	−0.977817	−	5.02466i	−0.0346143	−	0.177871i
$799$	4.07417			0.144134
$800$	−21.5234	−	21.2859i	−0.760967	−	0.752570i
$801$	1.34872	+	0.490896i	0.0476548	+	0.0173449i
$802$	−26.0821	−	26.0242i	−0.920990	−	0.918948i
$803$	46.7468	−	8.24273i	1.64966	−	0.290880i
$804$	−3.50870	−	4.16271i	−0.123742	−	0.146807i
$805$	2.15101	+	1.24189i	0.0758132	+	0.0437708i
$806$	0.628032	−	7.27135i	0.0221215	−	0.256122i
$807$	−23.7993	−	19.9700i	−0.837776	−	0.702977i
$808$	21.4256	−	15.1089i	0.753749	−	0.531529i
$809$	23.0033	+	39.8429i	0.808753	+	1.40080i	0.913728	+	0.406326i	$0.133190\pi$
$809$	23.0033	+	39.8429i	0.808753	+	1.40080i	−0.104975	+	0.994475i	$0.533476\pi$
$810$	−46.2400	+	21.6246i	−1.62471	+	0.759810i
$811$	1.19449	+	3.28183i	0.0419442	+	0.115241i	0.958896	−	0.283756i	$-0.0915806\pi$
$811$	1.19449	+	3.28183i	0.0419442	+	0.115241i	−0.916952	+	0.398997i	$0.869358\pi$
$812$	2.21630	+	3.81915i	0.0777770	+	0.134026i
$813$	25.4162	+	4.48156i	0.891386	+	0.157175i
$814$	−59.1501	+	41.5152i	−2.07321	+	1.45511i
$815$	31.2619	−	26.2318i	1.09506	−	0.918861i
$816$	5.26800	+	6.22186i	0.184417	+	0.217809i
$817$	−5.45299	+	12.2182i	−0.190776	+	0.427460i
$818$	−22.2371	+	31.8329i	−0.777500	+	1.11301i
$819$	−0.215571	−	0.256907i	−0.00753265	−	0.00897707i
$820$	71.3344	−	0.158302i	2.49111	−	0.00552816i
$821$	−18.3454	−	3.23478i	−0.640257	−	0.112895i	−0.155911	−	0.987771i	$-0.549831\pi$
$821$	−18.3454	−	3.23478i	−0.640257	−	0.112895i	−0.484346	+	0.874876i	$0.660942\pi$
$822$	3.54446	−	7.62319i	0.123627	−	0.265889i
$823$	46.3575	−	16.8728i	1.61592	−	0.588148i	0.633324	−	0.773887i	$-0.281690\pi$
$823$	46.3575	−	16.8728i	1.61592	−	0.588148i	0.982599	+	0.185739i	$0.0594680\pi$
$824$	−36.6909	+	36.9360i	−1.27819	+	1.28673i
$825$	31.2148	+	54.0656i	1.08676	+	1.88232i
$826$	0.234394	+	0.870902i	0.00815560	+	0.0303026i
$827$	−27.8964	+	33.2456i	−0.970053	+	1.15606i	0.0176693	+	0.999844i	$0.494375\pi$
$827$	−27.8964	+	33.2456i	−0.970053	+	1.15606i	−0.987722	+	0.156220i	$0.950069\pi$
$828$	−3.28202	+	3.92903i	−0.114058	+	0.136543i
$829$	20.2935	+	11.7164i	0.704822	+	0.406929i	0.809141	−	0.587615i	$-0.199933\pi$
$829$	20.2935	+	11.7164i	0.704822	+	0.406929i	−0.104319	+	0.994544i	$0.533266\pi$
$830$	−16.0429	+	60.1396i	−0.556856	+	2.08748i
$831$	1.30656	+	7.40984i	0.0453239	+	0.257045i
$832$	−3.90858	−	3.23559i	−0.135506	−	0.112174i
$833$	−6.30027	−	2.29311i	−0.218291	−	0.0794516i
$834$	−4.96298	−	56.0113i	−0.171854	−	1.93951i
$835$		−	29.0614i		−	1.00571i
$836$	5.17688	+	48.6350i	0.179046	+	1.68208i
$837$		−	28.3561i		−	0.980131i
$838$	−27.0603	+	2.39772i	−0.934781	+	0.0828280i
$839$	−44.2939	−	16.1217i	−1.52919	−	0.556581i	−0.565770	−	0.824563i	$-0.691421\pi$
$839$	−44.2939	−	16.1217i	−1.52919	−	0.556581i	−0.963424	+	0.267982i	$0.913643\pi$
$840$	3.17075	−	6.85922i	0.109401	−	0.236666i
$841$	−0.272062	−	1.54294i	−0.00938146	−	0.0532049i
$842$	−15.7893	−	4.21196i	−0.544136	−	0.145154i
$843$	−4.69144	−	2.70860i	−0.161582	−	0.0932892i
$844$	17.3925	+	14.5284i	0.598674	+	0.500087i
$845$	26.0529	−	31.0486i	0.896246	−	1.06810i
$846$	7.51628	−	2.02292i	0.258415	−	0.0695495i
$847$	−4.08837	−	7.08126i	−0.140478	−	0.243315i
$848$	22.3166	−	4.03722i	0.766355	−	0.138639i
$849$	17.7772	−	6.47037i	0.610112	−	0.222063i
$850$	6.72595	+	3.12728i	0.230698	+	0.107265i
$851$	−17.3402	−	3.05754i	−0.594413	−	0.104811i
$852$	4.95671	−	0.0109997i	0.169814	−	0.000376844i
$853$	22.5059	+	26.8215i	0.770589	+	0.918352i	0.998468	−	0.0553375i	$-0.0176235\pi$
$853$	22.5059	+	26.8215i	0.770589	+	0.918352i	−0.227879	+	0.973689i	$0.573179\pi$
$854$	4.63403	+	3.23712i	0.158573	+	0.110772i
$855$	16.6971	−	8.12523i	0.571028	−	0.277877i
$856$	−5.09372	+	19.2663i	−0.174100	+	0.658510i
$857$	30.1469	−	25.2962i	1.02980	−	0.864103i	0.0389710	−	0.999240i	$-0.487592\pi$
$857$	30.1469	−	25.2962i	1.02980	−	0.864103i	0.990827	+	0.135137i	$0.0431475\pi$
$858$	6.01166	+	8.56530i	0.205235	+	0.292414i
$859$	−55.6298	−	9.80904i	−1.89807	−	0.334680i	−0.902654	−	0.430366i	$-0.858384\pi$
$859$	−55.6298	−	9.80904i	−1.89807	−	0.334680i	−0.995412	+	0.0956862i	$0.969495\pi$
$860$	−17.0833	+	9.91367i	−0.582536	+	0.338053i
$861$	3.14856	+	8.65061i	0.107303	+	0.294812i
$862$	1.27144	+	2.71874i	0.0433055	+	0.0926006i
$863$	0.0972934	+	0.168517i	0.00331190	+	0.00573639i	0.867677	−	0.497129i	$-0.165612\pi$
$863$	0.0972934	+	0.168517i	0.00331190	+	0.00573639i	−0.864365	+	0.502865i	$0.832279\pi$
$864$	−16.2112	−	11.2177i	−0.551515	−	0.381633i
$865$	−41.9148	−	35.1707i	−1.42515	−	1.19584i
$866$	22.9348	+	1.98090i	0.779358	+	0.0673137i
$867$	28.8845	+	16.6765i	0.980969	+	0.566363i
$868$	4.18824	+	4.96892i	0.142158	+	0.168656i
$869$	−41.2485	+	7.27323i	−1.39926	+	0.246727i
$870$	−36.9476	+	37.0297i	−1.25264	+	1.25542i
$871$	−0.780199	−	0.283969i	−0.0264360	−	0.00962193i
$872$	20.3004	+	43.1587i	0.687458	+	1.46154i
$873$	−4.50663			−0.152526
$874$	−7.49764	+	9.26289i	−0.253611	+	0.313322i
$875$		−	0.451279i		−	0.0152560i
$876$	17.5261	−	30.5123i	0.592154	−	1.03092i
$877$	−2.00749	+	5.51553i	−0.0677880	+	0.186246i	−0.968961	−	0.247214i	$-0.920485\pi$
$877$	−2.00749	+	5.51553i	−0.0677880	+	0.186246i	0.901173	+	0.433460i	$0.142707\pi$
$878$	−30.5334	−	30.4657i	−1.03045	−	1.02817i
$879$	−3.23259	−	18.3330i	−0.109033	−	0.618355i
$880$	−35.8227	+	62.6877i	−1.20758	+	2.11320i
$881$	11.8500	−	20.5248i	0.399236	−	0.691497i	−0.594396	−	0.804173i	$-0.702609\pi$
$881$	11.8500	−	20.5248i	0.399236	−	0.691497i	0.993632	+	0.112676i	$0.0359421\pi$
$882$	−12.7617	−	1.10224i	−0.429709	−	0.0371143i
$883$	5.10668	−	6.08591i	0.171853	−	0.204807i	−0.673242	−	0.739422i	$-0.735099\pi$
$883$	5.10668	−	6.08591i	0.171853	−	0.204807i	0.845096	+	0.534615i	$0.179543\pi$
$884$	1.16927	+	0.422643i	0.0393267	+	0.0142150i
$885$	−9.25284	+	5.34213i	−0.311031	+	0.179574i
$886$	50.3124	−	23.5291i	1.69028	−	0.790475i
$887$	0.961948	−	0.350121i	0.0322991	−	0.0117559i	−0.325820	−	0.945432i	$-0.605640\pi$
$887$	0.961948	−	0.350121i	0.0322991	−	0.0117559i	0.358119	+	0.933676i	$0.383418\pi$
$888$	−4.49123	+	53.3809i	−0.150716	+	1.79135i
$889$	−0.464968	+	2.63697i	−0.0155945	+	0.0884410i
$890$	2.83341	+	4.03699i	0.0949761	+	0.135320i
$891$	40.4587	+	48.2168i	1.35542	+	1.61532i
$892$	11.7124	+	31.9586i	0.392159	+	1.07005i
$893$	17.4215	−	4.97866i	0.582987	−	0.166605i
$894$	31.3299	−	44.8495i	1.04783	−	1.49999i
$895$	−0.889237	+	0.746159i	−0.0297239	+	0.0249413i
$896$	4.49759	−	0.428713i	0.150254	−	0.0143223i
$897$	−0.442750	+	2.51096i	−0.0147830	+	0.0838386i
$898$	29.1503	+	13.5536i	0.972757	+	0.452291i
$899$	−15.3860	−	42.2727i	−0.513152	−	1.40987i
$900$	13.9612	+	2.42981i	0.465374	+	0.0809935i
$901$	−4.81255	+	2.77852i	−0.160329	+	0.0925661i
$902$	−22.8596	−	84.9360i	−0.761140	−	2.82806i
$903$	−1.95260	−	1.63843i	−0.0649786	−	0.0545235i
$904$	−10.8882	−	40.1009i	−0.362136	−	1.33374i
$905$	14.5064	−	25.1258i	0.482209	−	0.835211i
$906$	15.1327	+	4.03681i	0.502751	+	0.134114i
$907$	−30.5628	+	5.38904i	−1.01482	+	0.178940i	−0.656235	−	0.754557i	$-0.727852\pi$
$907$	−30.5628	+	5.38904i	−1.01482	+	0.178940i	−0.358585	+	0.933497i	$0.616741\pi$
$908$	3.25601	+	18.2291i	0.108055	+	0.604954i
$909$	−4.19767	+	11.5330i	−0.139228	+	0.382526i
$910$	−0.101715	−	1.14794i	−0.00337182	−	0.0380537i
$911$	−2.11813			−0.0701767			−0.0350884	−	0.999384i	$-0.511171\pi$
$911$	−2.11813			−0.0701767			−0.0350884	+	0.999384i	$0.511171\pi$
$912$	30.1295	+	20.1677i	0.997689	+	0.667818i
$913$	76.7477			2.53998
$914$	−3.15424	−	35.5982i	−0.104333	−	1.17748i
$915$	−22.9033	+	62.9263i	−0.757160	+	2.08028i
$916$	8.45041	+	47.3105i	0.279209	+	1.56318i
$917$	1.49992	−	0.264476i	0.0495316	−	0.00873376i
$918$	4.66733	+	1.24506i	0.154045	+	0.0410931i
$919$	17.8213	−	30.8674i	0.587871	−	1.01822i	−0.406640	−	0.913589i	$-0.633300\pi$
$919$	17.8213	−	30.8674i	0.587871	−	1.01822i	0.994511	−	0.104634i	$-0.0333671\pi$
$920$	−16.9774	+	4.60971i	−0.559729	+	0.151978i
$921$	27.2943	+	22.9027i	0.899379	+	0.754669i
$922$	−9.79972	−	36.4114i	−0.322737	−	1.19915i
$923$	0.654656	−	0.377966i	0.0215483	−	0.0124409i
$924$	−9.17963	−	1.59762i	−0.301988	−	0.0525579i
$925$	16.6699	+	45.8001i	0.548102	+	1.50590i
$926$	31.7095	+	14.7436i	1.04204	+	0.484503i
$927$	4.23221	−	24.0021i	0.139004	−	0.788331i
$928$	−30.2539	−	7.92689i	−0.993134	−	0.260213i
$929$	−3.43451	+	2.88189i	−0.112682	+	0.0945518i	−0.697388	−	0.716694i	$-0.745655\pi$
$929$	−3.43451	+	2.88189i	−0.112682	+	0.0945518i	0.584705	+	0.811246i	$0.301210\pi$
$930$	−44.0870	+	63.1116i	−1.44567	+	2.06951i
$931$	−29.7427	−	2.10655i	−0.974777	−	0.0690394i
$932$	−6.73628	−	18.3808i	−0.220654	−	0.602082i
$933$	−11.4181	−	13.6076i	−0.373812	−	0.445492i
$934$	−15.6756	−	22.3343i	−0.512921	−	0.730800i
$935$	3.07212	−	17.4229i	0.100469	−	0.569789i
$936$	2.36699	+	0.199148i	0.0773675	+	0.00650935i
$937$	−55.7385	+	20.2872i	−1.82090	+	0.662753i	−0.825789	+	0.563979i	$0.809270\pi$
$937$	−55.7385	+	20.2872i	−1.82090	+	0.662753i	−0.995110	+	0.0987736i	$0.968508\pi$
$938$	0.669669	−	0.313177i	0.0218655	−	0.0102256i
$939$	0.592715	−	0.342204i	0.0193425	−	0.0111674i
$940$	25.1546	+	9.09235i	0.820451	+	0.296560i
$941$	−26.6233	+	31.7285i	−0.867896	+	1.03432i	0.131181	+	0.991358i	$0.458123\pi$
$941$	−26.6233	+	31.7285i	−0.867896	+	1.03432i	−0.999077	+	0.0429597i	$0.986321\pi$
$942$	3.79369	+	0.327664i	0.123605	+	0.0106759i
$943$	10.7157	−	18.5601i	0.348951	−	0.604401i
$944$	−5.54624	−	3.16938i	−0.180515	−	0.103155i
$945$	−0.777505	−	4.40945i	−0.0252923	−	0.143440i
$946$	17.2402	+	17.2020i	0.560528	+	0.559285i
$947$	−1.40777	+	3.86782i	−0.0457464	+	0.125687i	−0.960462	−	0.278411i	$-0.910192\pi$
$947$	−1.40777	+	3.86782i	−0.0457464	+	0.125687i	0.914716	+	0.404098i	$0.132415\pi$
$948$	−15.4647	+	26.9235i	−0.502271	+	0.874435i
$949$		−	5.36633i		−	0.174198i
$950$	32.5823	+	5.15334i	1.05711	+	0.167197i
$951$	−27.8468			−0.902996
$952$	−1.00177	+	0.471198i	−0.0324675	+	0.0152716i
$953$	4.91074	+	1.78736i	0.159075	+	0.0578984i	0.420330	−	0.907371i	$-0.361914\pi$
$953$	4.91074	+	1.78736i	0.159075	+	0.0578984i	−0.261256	+	0.965270i	$0.584137\pi$
$954$	−7.49888	+	7.51554i	−0.242785	+	0.243325i
$955$	−34.8305	+	6.14156i	−1.12709	+	0.198736i
$956$	14.2357	+	16.8892i	0.460416	+	0.546235i
$957$	55.8587	+	32.2500i	1.80566	+	1.04250i
$958$	−11.2848	−	0.974672i	−0.364594	−	0.0314902i
$959$	0.874515	+	0.733806i	0.0282396	+	0.0236958i
$960$	18.6401	+	50.1714i	0.601606	+	1.61928i
$961$	−17.6031	−	30.4894i	−0.567841	−	0.983530i
$962$	3.46087	+	7.40041i	0.111583	+	0.238599i
$963$	−3.19077	−	8.76657i	−0.102821	−	0.282499i
$964$	33.8979	−	19.6714i	1.09178	−	0.633573i
$965$	11.3732	+	2.00540i	0.366116	+	0.0645561i
$966$	−1.30424	−	1.85825i	−0.0419632	−	0.0597883i
$967$	−20.9916	+	17.6140i	−0.675043	+	0.566429i	−0.914553	−	0.404465i	$-0.867458\pi$
$967$	−20.9916	+	17.6140i	−0.675043	+	0.566429i	0.239510	+	0.970894i	$0.423013\pi$
$968$	55.9905	+	14.8030i	1.79960	+	0.475787i
$969$	−8.61817	−	2.15694i	−0.276856	−	0.0692910i
$970$	−12.6954	−	8.86845i	−0.407625	−	0.284749i
$971$	6.10832	+	7.27961i	0.196025	+	0.233614i	0.855099	−	0.518464i	$-0.173496\pi$
$971$	6.10832	+	7.27961i	0.196025	+	0.233614i	−0.659074	+	0.752078i	$0.729052\pi$
$972$	25.7490	−	0.0571411i	0.825900	−	0.00183280i
$973$	7.51972	+	1.32593i	0.241071	+	0.0425074i
$974$	−21.4219	−	9.96029i	−0.686403	−	0.319148i
$975$	6.63213	−	2.41390i	0.212398	−	0.0773066i
$976$	−39.3976	+	7.12730i	−1.26109	+	0.228139i
$977$	7.83978	+	13.5789i	0.250817	+	0.434427i	0.963751	−	0.266804i	$-0.0859675\pi$
$977$	7.83978	+	13.5789i	0.250817	+	0.434427i	−0.712934	+	0.701231i	$0.752634\pi$
$978$	−36.0198	+	9.69433i	−1.15179	+	0.309991i
$979$	3.90908	−	4.65867i	0.124935	−	0.148892i
$980$	−33.7813	−	28.2184i	−1.07911	−	0.901404i
$981$	−19.3363	−	11.1638i	−0.617360	−	0.356433i
$982$	15.5596	+	4.15068i	0.496526	+	0.132454i
$983$	−7.02994	−	39.8688i	−0.224220	−	1.27162i	−0.864170	−	0.503200i	$-0.832156\pi$
$983$	−7.02994	−	39.8688i	−0.224220	−	1.27162i	0.639950	−	0.768417i	$-0.278955\pi$
$984$	−59.1852	−	27.3591i	−1.88676	−	0.872175i
$985$	17.2458	+	6.27696i	0.549497	+	0.200001i
$986$	7.63352	−	0.676383i	0.243101	−	0.0215404i
$987$			3.45177i			0.109871i
$988$	5.51636	+	0.378399i	0.175499	+	0.0120385i
$989$			5.93403i			0.188691i
$990$	−2.98323	−	33.6682i	−0.0948133	−	1.07004i
$991$	−8.14573	−	2.96480i	−0.258758	−	0.0941801i	0.209384	−	0.977833i	$-0.432854\pi$
$991$	−8.14573	−	2.96480i	−0.258758	−	0.0941801i	−0.468142	+	0.883653i	$0.655076\pi$
$992$	−45.8746	−	3.75718i	−1.45652	−	0.119290i
$993$	−9.06533	−	51.4121i	−0.287680	−	1.63151i
$994$	−0.173486	+	0.650346i	−0.00550266	+	0.0206277i
$995$	7.25622	+	4.18938i	0.230038	+	0.132812i
$996$	36.4729	−	43.6632i	1.15569	−	1.38352i
$997$	33.7252	−	40.1922i	1.06809	−	1.27290i	0.107716	−	0.994182i	$-0.465646\pi$
$997$	33.7252	−	40.1922i	1.06809	−	1.27290i	0.960373	−	0.278717i	$-0.0899093\pi$
$998$	7.18234	+	26.6864i	0.227353	+	0.844742i
$999$	15.8706	+	27.4887i	0.502123	+	0.869703i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	152.2.t.a.101.9	✓	108
4.3	odd	2		608.2.bf.a.177.4		108
8.3	odd	2		608.2.bf.a.177.15		108
8.5	even	2	inner	152.2.t.a.101.17	yes	108
19.16	even	9	inner	152.2.t.a.149.17	yes	108
76.35	odd	18		608.2.bf.a.529.15		108
152.35	odd	18		608.2.bf.a.529.4		108
152.149	even	18	inner	152.2.t.a.149.9	yes	108

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
152.2.t.a.101.9	✓	108	1.1	even	1	trivial
152.2.t.a.101.17	yes	108	8.5	even	2	inner
152.2.t.a.149.9	yes	108	152.149	even	18	inner
152.2.t.a.149.17	yes	108	19.16	even	9	inner
608.2.bf.a.177.4		108	4.3	odd	2
608.2.bf.a.177.15		108	8.3	odd	2
608.2.bf.a.529.4		108	152.35	odd	18
608.2.bf.a.529.15		108	76.35	odd	18

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:	\( N \)	\(=\)	\( 152 = 2^{3} \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	152.t (of order \(18\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.124820 - 1.40869i) q^{2} +(0.711212 - 1.95404i) q^{3} +(-1.96884 + 0.351666i) q^{4} +(3.16846 - 0.558684i) q^{5} +(-2.84142 - 0.757977i) q^{6} +(0.199668 - 0.345836i) q^{7} +(0.741141 + 2.72960i) q^{8} +(-1.01431 - 0.851110i) q^{9} +O(q^{10})\)	\(q+(-0.124820 - 1.40869i) q^{2} +(0.711212 - 1.95404i) q^{3} +(-1.96884 + 0.351666i) q^{4} +(3.16846 - 0.558684i) q^{5} +(-2.84142 - 0.757977i) q^{6} +(0.199668 - 0.345836i) q^{7} +(0.741141 + 2.72960i) q^{8} +(-1.01431 - 0.851110i) q^{9} +(-1.18250 - 4.39365i) q^{10} +(-4.85869 + 2.80516i) q^{11} +(-0.713093 + 4.09730i) q^{12} +(0.216928 + 0.596006i) q^{13} +(-0.512100 - 0.238105i) q^{14} +(1.16175 - 6.58863i) q^{15} +(3.75266 - 1.38475i) q^{16} +(-0.750823 + 0.630015i) q^{17} +(-1.07235 + 1.53509i) q^{18} +(-2.44070 + 3.61151i) q^{19} +(-6.04171 + 2.21420i) q^{20} +(-0.533770 - 0.636123i) q^{21} +(4.55808 + 6.49426i) q^{22} +(-0.335696 + 1.90383i) q^{23} +(5.86085 + 0.493105i) q^{24} +(5.02853 - 1.83023i) q^{25} +(0.812513 - 0.379979i) q^{26} +(3.01806 - 1.74248i) q^{27} +(-0.271496 + 0.751112i) q^{28} +(3.55379 - 4.23525i) q^{29} +(-9.42638 - 0.814163i) q^{30} +(4.06836 - 7.04660i) q^{31} +(-2.41910 - 5.11351i) q^{32} +(2.02584 + 11.4891i) q^{33} +(0.981217 + 0.979042i) q^{34} +(0.439428 - 1.20732i) q^{35} +(2.29633 + 1.31900i) q^{36} +9.10805i q^{37} +(5.39216 + 2.98741i) q^{38} +1.31890 q^{39} +(3.87326 + 8.23455i) q^{40} +(-10.4174 - 3.79163i) q^{41} +(-0.829477 + 0.831320i) q^{42} +(3.02291 - 0.533020i) q^{43} +(8.57949 - 7.23156i) q^{44} +(-3.68931 - 2.13002i) q^{45} +(2.72381 + 0.235258i) q^{46} +(-3.18426 - 2.67191i) q^{47} +(-0.0369167 - 8.31770i) q^{48} +(3.42027 + 5.92407i) q^{49} +(-3.20590 - 6.85521i) q^{50} +(0.697080 + 1.91521i) q^{51} +(-0.636693 - 1.09715i) q^{52} +(5.58357 + 0.984534i) q^{53} +(-2.83134 - 4.03403i) q^{54} +(-13.8273 + 11.6025i) q^{55} +(1.09198 + 0.288702i) q^{56} +(5.32118 + 7.33777i) q^{57} +(-6.40975 - 4.47756i) q^{58} +(-1.02652 - 1.22336i) q^{59} +(0.0296935 + 13.3805i) q^{60} +(-9.85721 - 1.73809i) q^{61} +(-10.4343 - 4.85152i) q^{62} +(-0.496871 + 0.180846i) q^{63} +(-6.90142 + 4.04604i) q^{64} +(1.02031 + 1.76722i) q^{65} +(15.9318 - 4.28787i) q^{66} +(-0.841438 + 1.00279i) q^{67} +(1.25670 - 1.50444i) q^{68} +(3.48140 + 2.00999i) q^{69} +(-1.75559 - 0.468322i) q^{70} +(-0.206961 - 1.17373i) q^{71} +(1.57144 - 3.39946i) q^{72} +(-7.95057 - 2.89377i) q^{73} +(12.8305 - 1.13687i) q^{74} -11.1276i q^{75} +(3.53530 - 7.96879i) q^{76} +2.24041i q^{77} +(-0.164625 - 1.85793i) q^{78} +(7.01543 + 2.55341i) q^{79} +(11.1165 - 6.48407i) q^{80} +(-1.94817 - 11.0486i) q^{81} +(-4.04094 + 15.1482i) q^{82} +(-11.8470 - 6.83985i) q^{83} +(1.27461 + 1.06471i) q^{84} +(-2.02697 + 2.41565i) q^{85} +(-1.12818 - 4.19182i) q^{86} +(-5.74833 - 9.95641i) q^{87} +(-11.2579 - 11.1832i) q^{88} +(-1.01860 + 0.370741i) q^{89} +(-2.54005 + 5.46298i) q^{90} +(0.249434 + 0.0439819i) q^{91} +(-0.00858012 - 3.86639i) q^{92} +(-10.8759 - 12.9614i) q^{93} +(-3.36645 + 4.81916i) q^{94} +(-5.71555 + 12.8065i) q^{95} +(-11.7125 + 1.09022i) q^{96} +(2.60728 - 2.18777i) q^{97} +(7.91829 - 5.55755i) q^{98} +(7.31573 + 1.28996i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 108 q - 6 q^{2} - 12 q^{4} - 12 q^{6} - 6 q^{7} - 3 q^{8} - 12 q^{9}+O(q^{10}) \) 108 * q - 6 * q^2 - 12 * q^4 - 12 * q^6 - 6 * q^7 - 3 * q^8 - 12 * q^9	\( 108 q - 6 q^{2} - 12 q^{4} - 12 q^{6} - 6 q^{7} - 3 q^{8} - 12 q^{9} + 9 q^{10} - 3 q^{12} - 9 q^{14} - 12 q^{15} - 12 q^{17} - 12 q^{18} - 42 q^{20} - 12 q^{22} - 12 q^{23} - 36 q^{24} - 12 q^{25} + 21 q^{26} + 24 q^{28} - 48 q^{30} + 30 q^{31} + 39 q^{32} - 30 q^{33} - 60 q^{34} + 69 q^{36} - 42 q^{38} - 24 q^{39} + 36 q^{40} - 24 q^{41} - 81 q^{42} + 45 q^{44} - 18 q^{46} - 48 q^{47} - 21 q^{48} - 24 q^{49} - 12 q^{50} + 3 q^{52} + 63 q^{54} - 42 q^{55} + 30 q^{56} - 12 q^{57} - 84 q^{58} + 30 q^{60} - 6 q^{62} + 30 q^{63} + 3 q^{64} - 6 q^{65} + 54 q^{66} + 36 q^{68} + 123 q^{70} - 12 q^{71} + 150 q^{72} + 12 q^{73} + 75 q^{74} + 42 q^{76} + 39 q^{78} - 12 q^{79} + 51 q^{80} - 18 q^{81} + 99 q^{82} + 75 q^{84} - 48 q^{86} - 6 q^{87} - 27 q^{88} - 12 q^{89} + 66 q^{90} - 48 q^{92} + 54 q^{94} - 72 q^{95} + 42 q^{96} - 12 q^{97} + 93 q^{98}+O(q^{100}) \) 108 * q - 6 * q^2 - 12 * q^4 - 12 * q^6 - 6 * q^7 - 3 * q^8 - 12 * q^9 + 9 * q^10 - 3 * q^12 - 9 * q^14 - 12 * q^15 - 12 * q^17 - 12 * q^18 - 42 * q^20 - 12 * q^22 - 12 * q^23 - 36 * q^24 - 12 * q^25 + 21 * q^26 + 24 * q^28 - 48 * q^30 + 30 * q^31 + 39 * q^32 - 30 * q^33 - 60 * q^34 + 69 * q^36 - 42 * q^38 - 24 * q^39 + 36 * q^40 - 24 * q^41 - 81 * q^42 + 45 * q^44 - 18 * q^46 - 48 * q^47 - 21 * q^48 - 24 * q^49 - 12 * q^50 + 3 * q^52 + 63 * q^54 - 42 * q^55 + 30 * q^56 - 12 * q^57 - 84 * q^58 + 30 * q^60 - 6 * q^62 + 30 * q^63 + 3 * q^64 - 6 * q^65 + 54 * q^66 + 36 * q^68 + 123 * q^70 - 12 * q^71 + 150 * q^72 + 12 * q^73 + 75 * q^74 + 42 * q^76 + 39 * q^78 - 12 * q^79 + 51 * q^80 - 18 * q^81 + 99 * q^82 + 75 * q^84 - 48 * q^86 - 6 * q^87 - 27 * q^88 - 12 * q^89 + 66 * q^90 - 48 * q^92 + 54 * q^94 - 72 * q^95 + 42 * q^96 - 12 * q^97 + 93 * q^98

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