LMFDB - Embedded newform 152.2.t.a.101.17

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			101.17
Character	$\chi$	$=$	152.101
Dual form			152.2.t.a.149.17

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.36562 + 0.367541i) q^{2} +(-0.711212 + 1.95404i) q^{3} +(1.72983 + 1.00384i) q^{4} +(-3.16846 + 0.558684i) q^{5} +(-1.68943 + 2.40707i) q^{6} +(0.199668 - 0.345836i) q^{7} +(1.99333 + 2.00665i) q^{8} +(-1.01431 - 0.851110i) q^{9} +O(q^{10})$	\(q+(1.36562 + 0.367541i) q^{2} +(-0.711212 + 1.95404i) q^{3} +(1.72983 + 1.00384i) q^{4} +(-3.16846 + 0.558684i) q^{5} +(-1.68943 + 2.40707i) q^{6} +(0.199668 - 0.345836i) q^{7} +(1.99333 + 2.00665i) q^{8} +(-1.01431 - 0.851110i) q^{9} +(-4.53224 - 0.401588i) q^{10} +(4.85869 - 2.80516i) q^{11} +(-3.19182 + 2.66621i) q^{12} +(-0.216928 - 0.596006i) q^{13} +(0.399780 - 0.398893i) q^{14} +(1.16175 - 6.58863i) q^{15} +(1.98461 + 3.47294i) 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} +(7.66612 - 2.04502i) q^{22} +(-0.335696 + 1.90383i) q^{23} +(-5.33875 + 2.46790i) q^{24} +(5.02853 - 1.83023i) q^{25} +(-0.0771849 - 0.893647i) q^{26} +(-3.01806 + 1.74248i) q^{27} +(0.692556 - 0.397801i) q^{28} +(-3.55379 + 4.23525i) q^{29} +(4.00810 - 8.57056i) q^{30} +(4.06836 - 7.04660i) q^{31} +(1.43377 + 5.47214i) q^{32} +(2.02584 + 11.4891i) q^{33} +(-1.25689 + 0.584403i) q^{34} +(-0.439428 + 1.20732i) q^{35} +(-0.900208 - 2.49048i) q^{36} -9.10805i q^{37} +(4.66044 - 4.03489i) q^{38} +1.31890 q^{39} +(-7.43687 - 5.24433i) q^{40} +(-10.4174 - 3.79163i) q^{41} +(0.495125 + 1.06488i) q^{42} +(-3.02291 + 0.533020i) q^{43} +(11.2206 + 0.0249003i) q^{44} +(3.68931 + 2.13002i) q^{45} +(-1.15817 + 2.47652i) q^{46} +(-3.18426 - 2.67191i) q^{47} +(-8.19774 + 1.40800i) q^{48} +(3.42027 + 5.92407i) q^{49} +(7.53973 - 0.651212i) q^{50} +(-0.697080 - 1.91521i) q^{51} +(0.223047 - 1.24875i) q^{52} +(-5.58357 - 0.984534i) q^{53} +(-4.76195 + 1.27030i) 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} +(8.62357 - 10.2310i) q^{60} +(9.85721 + 1.73809i) q^{61} +(8.14574 - 8.12768i) q^{62} +(-0.496871 + 0.180846i) q^{63} +(-0.0532593 + 7.99982i) q^{64} +(1.02031 + 1.76722i) q^{65} +(-1.45620 + 16.4344i) q^{66} +(0.841438 - 1.00279i) q^{67} +(-1.93123 + 0.336111i) q^{68} +(-3.48140 - 2.00999i) q^{69} +(-1.04383 + 1.48723i) q^{70} +(-0.206961 - 1.17373i) q^{71} +(-0.313986 - 3.73191i) q^{72} +(-7.95057 - 2.89377i) q^{73} +(3.34758 - 12.4381i) q^{74} +11.1276i q^{75} +(7.84737 - 3.79721i) q^{76} -2.24041i q^{77} +(1.80112 + 0.484750i) q^{78} +(7.01543 + 2.55341i) q^{79} +(-8.22842 - 9.89510i) q^{80} +(-1.94817 - 11.0486i) q^{81} +(-12.8326 - 9.00674i) q^{82} +(11.8470 + 6.83985i) q^{83} +(0.284764 + 1.63620i) q^{84} +(2.02697 - 2.41565i) q^{85} +(-4.32404 - 0.383140i) q^{86} +(-5.74833 - 9.95641i) q^{87} +(15.3139 + 4.15804i) q^{88} +(-1.01860 + 0.370741i) q^{89} +(4.25532 + 4.26477i) q^{90} +(-0.249434 - 0.0439819i) q^{91} +(-2.49184 + 2.95631i) 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} +(2.49344 + 9.34711i) 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 $

$2$	1.36562	+	0.367541i	0.965638	+	0.259891i
$2$	1.36562	+	0.367541i	0.965638	+	0.259891i
$3$	−0.711212	+	1.95404i	−0.410619	+	1.12817i	0.546245	+	0.837626i	$0.316057\pi$
$3$	−0.711212	+	1.95404i	−0.410619	+	1.12817i	−0.956863	+	0.290539i	$0.906165\pi$
$4$	1.72983	+	1.00384i	0.864914	+	0.501921i
$5$	−3.16846	+	0.558684i	−1.41698	+	0.249851i	−0.829101	−	0.559100i	$-0.811147\pi$
$5$	−3.16846	+	0.558684i	−1.41698	+	0.249851i	−0.587876	+	0.808951i	$0.700036\pi$
$6$	−1.68943	+	2.40707i	−0.689708	+	0.982683i
$7$	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	$0.142622\pi$
$8$	1.99333	+	2.00665i	0.704749	+	0.709457i
$9$	−1.01431	−	0.851110i	−0.338104	−	0.283703i
$10$	−4.53224	−	0.401588i	−1.43322	−	0.126993i
$11$	4.85869	−	2.80516i	1.46495	−	0.845789i	0.465716	−	0.884934i	$-0.345797\pi$
$11$	4.85869	−	2.80516i	1.46495	−	0.845789i	0.999234	+	0.0391456i	$0.0124636\pi$
$12$	−3.19182	+	2.66621i	−0.921399	+	0.769668i
$13$	−0.216928	−	0.596006i	−0.0601651	−	0.165302i	0.905968	−	0.423346i	$-0.139144\pi$
$13$	−0.216928	−	0.596006i	−0.0601651	−	0.165302i	−0.966133	+	0.258043i	$0.916922\pi$
$14$	0.399780	−	0.398893i	0.106846	−	0.106609i
$15$	1.16175	−	6.58863i	0.299963	−	1.70118i
$16$	1.98461	+	3.47294i	0.496151	+	0.868236i
$17$	−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
$22$	7.66612	−	2.04502i	1.63442	−	0.435999i
$23$	−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	$0.990958\pi$
$24$	−5.33875	+	2.46790i	−1.08977	+	0.503757i
$25$	5.02853	−	1.83023i	1.00571	−	0.366047i
$26$	−0.0771849	−	0.893647i	−0.0151372	−	0.175259i
$27$	−3.01806	+	1.74248i	−0.580826	+	0.335340i
$28$	0.692556	−	0.397801i	0.130881	−	0.0751773i
$29$	−3.55379	+	4.23525i	−0.659923	+	0.786465i	−0.987375	−	0.158403i	$-0.949366\pi$
$29$	−3.55379	+	4.23525i	−0.659923	+	0.786465i	0.327452	+	0.944868i	$0.393810\pi$
$30$	4.00810	−	8.57056i	0.731776	−	1.56476i
$31$	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	$-0.0941389\pi$
$32$	1.43377	+	5.47214i	0.253456	+	0.967347i
$33$	2.02584	+	11.4891i	0.352654	+	2.00000i
$34$	−1.25689	+	0.584403i	−0.215556	+	0.100224i
$35$	−0.439428	+	1.20732i	−0.0742768	+	0.204074i
$36$	−0.900208	−	2.49048i	−0.150035	−	0.415081i
$37$		−	9.10805i		−	1.49735i	−0.662935	−	0.748677i	$-0.730689\pi$
$37$		−	9.10805i		−	1.49735i	0.662935	−	0.748677i	$-0.269311\pi$
$38$	4.66044	−	4.03489i	0.756023	−	0.654545i
$39$	1.31890			0.211193
$40$	−7.43687	−	5.24433i	−1.17587	−	0.829201i
$41$	−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	$0.944218\pi$
$42$	0.495125	+	1.06488i	0.0763995	+	0.164315i
$43$	−3.02291	+	0.533020i	−0.460989	+	0.0812848i	−0.399319	−	0.916812i	$-0.630754\pi$
$43$	−3.02291	+	0.533020i	−0.460989	+	0.0812848i	−0.0616694	+	0.998097i	$0.519642\pi$
$44$	11.2206	+	0.0249003i	1.69157	+	0.00375387i
$45$	3.68931	+	2.13002i	0.549970	+	0.317525i
$46$	−1.15817	+	2.47652i	−0.170763	+	0.365143i
$47$	−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	$0.820265\pi$
$48$	−8.19774	+	1.40800i	−1.18324	+	0.203227i
$49$	3.42027	+	5.92407i	0.488609	+	0.846296i
$50$	7.53973	−	0.651212i	1.06628	−	0.0920953i
$51$	−0.697080	−	1.91521i	−0.0976108	−	0.268183i
$52$	0.223047	−	1.24875i	0.0309310	−	0.173170i
$53$	−5.58357	−	0.984534i	−0.766962	−	0.135236i	−0.223539	−	0.974695i	$-0.571761\pi$
$53$	−5.58357	−	0.984534i	−0.766962	−	0.135236i	−0.543423	+	0.839459i	$0.682872\pi$
$54$	−4.76195	+	1.27030i	−0.648020	+	0.172866i
$55$	−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	0.828715	−	0.559671i	$-0.189072\pi$
$59$	1.02652	+	1.22336i	0.133642	+	0.159268i	−0.695073	+	0.718939i	$0.744628\pi$
$60$	8.62357	−	10.2310i	1.11330	−	1.32081i
$61$	9.85721	+	1.73809i	1.26209	+	0.222540i	0.764358	−	0.644792i	$-0.223056\pi$
$61$	9.85721	+	1.73809i	1.26209	+	0.222540i	0.497729	+	0.867332i	$0.334167\pi$
$62$	8.14574	−	8.12768i	1.03451	−	1.03222i
$63$	−0.496871	+	0.180846i	−0.0625998	+	0.0227845i
$64$	−0.0532593	+	7.99982i	−0.00665741	+	0.999978i
$65$	1.02031	+	1.76722i	0.126554	+	0.219197i
$66$	−1.45620	+	16.4344i	−0.179245	+	2.02293i
$67$	0.841438	−	1.00279i	0.102798	−	0.122510i	−0.712192	−	0.701984i	$-0.752298\pi$
$67$	0.841438	−	1.00279i	0.102798	−	0.122510i	0.814990	+	0.579474i	$0.196742\pi$
$68$	−1.93123	+	0.336111i	−0.234196	+	0.0407594i
$69$	−3.48140	−	2.00999i	−0.419112	−	0.241974i
$70$	−1.04383	+	1.48723i	−0.124761	+	0.177758i
$71$	−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	$0.966975\pi$
$72$	−0.313986	−	3.73191i	−0.0370036	−	0.439810i
$73$	−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	$0.775991\pi$
$74$	3.34758	−	12.4381i	0.389148	−	1.44590i
$75$			11.1276i			1.28491i
$76$	7.84737	−	3.79721i	0.900155	−	0.435570i
$77$		−	2.24041i		−	0.255318i
$78$	1.80112	+	0.484750i	0.203936	+	0.0548872i
$79$	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	$0.473149\pi$
$80$	−8.22842	−	9.89510i	−0.919965	−	1.10631i
$81$	−1.94817	−	11.0486i	−0.216463	−	1.22762i
$82$	−12.8326	−	9.00674i	−1.41713	−	0.994628i
$83$	11.8470	+	6.83985i	1.30037	+	0.750772i	0.980468	−	0.196678i	$-0.0630152\pi$
$83$	11.8470	+	6.83985i	1.30037	+	0.750772i	0.319906	+	0.947449i	$0.396349\pi$
$84$	0.284764	+	1.63620i	0.0310703	+	0.178524i
$85$	2.02697	−	2.41565i	0.219856	−	0.262014i
$86$	−4.32404	−	0.383140i	−0.466274	−	0.0413150i
$87$	−5.74833	−	9.95641i	−0.616286	−	1.06744i
$88$	15.3139	+	4.15804i	1.63247	+	0.443249i
$89$	−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	$0.407186\pi$
$90$	4.25532	+	4.26477i	0.448550	+	0.449546i
$91$	−0.249434	−	0.0439819i	−0.0261478	−	0.00461056i
$92$	−2.49184	+	2.95631i	−0.259792	+	0.308216i
$93$	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	$0.222500\pi$
$98$	2.49344	+	9.34711i	0.251875	+	0.944201i
$99$	−7.31573	−	1.28996i	−0.735259	−	0.129646i
$100$	10.5357	+	1.88185i	1.05357	+	0.188185i
$101$	3.17023	+	8.71013i	0.315449	+	0.866690i	0.991532	+	0.129864i	$0.0414541\pi$
$101$	3.17023	+	8.71013i	0.315449	+	0.866690i	−0.676082	+	0.736826i	$0.736324\pi$
$102$	−0.248027	−	2.87166i	−0.0245583	−	0.284336i
$103$	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	$0.471822\pi$
$104$	0.763563	−	1.62334i	0.0748735	−	0.159181i
$105$	−2.04662	−	1.71732i	−0.199730	−	0.167593i
$106$	−7.26317	−	3.39669i	−0.705461	−	0.329916i
$107$	−6.10178	−	3.52286i	−0.589881	−	0.340568i	0.175169	−	0.984538i	$-0.443953\pi$
$107$	−6.10178	−	3.52286i	−0.589881	−	0.340568i	−0.765050	+	0.643970i	$0.777286\pi$
$108$	−6.96990	−	0.0154673i	−0.670679	−	0.00148834i
$109$	−16.6064	+	2.92816i	−1.59061	+	0.280467i	−0.897715	−	0.440576i	$-0.854774\pi$
$109$	−16.6064	+	2.92816i	−1.59061	+	0.280467i	−0.692891	+	0.721042i	$0.743663\pi$
$110$	−23.1473	+	10.7625i	−2.20700	+	1.02616i
$111$	17.7975	+	6.47776i	1.68926	+	0.614841i
$112$	1.59733	+	0.00708949i	0.150934	+	0.000669894i
$113$	−14.6911			−1.38203			−0.691013	−	0.722842i	$-0.742835\pi$
$113$	−14.6911			−1.38203			−0.691013	+	0.722842i	$0.742835\pi$
$114$	4.56977	+	11.9763i	0.427998	+	1.12169i
$115$		−	6.21975i		−	0.579994i
$116$	−10.3990	+	3.75880i	−0.965519	+	0.348996i
$117$	−0.287233	+	0.789167i	−0.0265547	+	0.0729585i
$118$	0.952202	+	2.04793i	0.0876573	+	0.188528i
$119$	0.0679662	+	0.385456i	0.00623046	+	0.0353347i
$120$	15.5368	−	10.8021i	1.41831	−	0.986092i
$121$	10.2379	−	17.7325i	0.930717	−	1.61205i
$122$	12.8224	+	5.99650i	1.16088	+	0.542898i
$123$	14.8180	−	17.6594i	1.33609	−	1.59229i
$124$	14.1112	−	8.10542i	1.26723	−	0.727888i
$125$	−0.978670	+	0.565036i	−0.0875349	+	0.0505383i
$126$	−0.745004	+	0.0643465i	−0.0663702	+	0.00573244i
$127$	−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	$0.485041\pi$
$128$	−3.01299	+	10.9051i	−0.266314	+	0.963886i
$129$	1.10839	−	6.28597i	0.0975879	−	0.553449i
$130$	0.743824	+	2.78836i	0.0652377	+	0.244555i
$131$	−2.45157	−	2.92167i	−0.214195	−	0.255267i	0.648240	−	0.761436i	$-0.275506\pi$
$131$	−2.45157	−	2.92167i	−0.214195	−	0.255267i	−0.862434	+	0.506169i	$0.831061\pi$
$132$	−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
$136$	−2.76086	−	0.250807i	−0.236742	−	0.0215065i
$137$	−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	$0.0945246\pi$
$138$	−4.01552	−	4.02444i	−0.341823	−	0.342583i
$139$	−6.53978	−	17.9679i	−0.554696	−	1.52402i	−0.827226	−	0.561869i	$-0.810083\pi$
$139$	−6.53978	−	17.9679i	−0.554696	−	1.52402i	0.272530	−	0.962147i	$-0.412140\pi$
$140$	−1.97209	+	1.64734i	−0.166672	+	0.139225i
$141$	7.48571	−	4.32188i	0.630411	−	0.363968i
$142$	0.148765	−	1.67894i	0.0124841	−	0.140893i
$143$	−2.72588	−	2.28729i	−0.227950	−	0.191273i
$144$	0.942845	−	5.21177i	0.0785705	−	0.434314i
$145$	8.89387	−	15.4046i	0.738596	−	1.27929i
$146$	−9.79387	−	6.87395i	−0.810546	−	0.568892i
$147$	−14.0084	+	2.47006i	−1.15539	+	0.203727i
$148$	9.14304	−	15.7554i	0.751553	−	1.29508i
$149$	6.36276	−	17.4815i	0.521258	−	1.43214i	−0.347863	−	0.937545i	$-0.613093\pi$
$149$	6.36276	−	17.4815i	0.521258	−	1.43214i	0.869121	−	0.494599i	$-0.164685\pi$
$150$	−4.08986	+	15.1961i	−0.333935	+	1.24075i
$151$	−5.32577			−0.433405			−0.216702	−	0.976238i	$-0.569530\pi$
$151$	−5.32577			−0.433405			−0.216702	+	0.976238i	$0.569530\pi$
$152$	12.1121	−	2.30132i	0.982424	−	0.186662i
$153$	1.29778			0.104920
$154$	0.823443	−	3.05955i	0.0663549	−	0.246545i
$155$	−8.95359	+	24.5998i	−0.719170	+	1.97590i
$156$	2.28147	+	1.32397i	0.182664	+	0.106002i
$157$	1.27516	−	0.224845i	0.101769	−	0.0179446i	−0.122532	−	0.992465i	$-0.539101\pi$
$157$	1.27516	−	0.224845i	0.101769	−	0.0179446i	0.224301	+	0.974520i	$0.427990\pi$
$158$	8.64192	+	6.06544i	0.687514	+	0.482541i
$159$	5.89492	−	10.2103i	0.467498	−	0.809730i
$160$	−7.60002	−	16.5372i	−0.600834	−	1.30738i
$161$	0.591384	+	0.496230i	0.0466076	+	0.0391084i
$162$	1.40036	−	15.8042i	0.110023	−	1.24170i
$163$	−10.9849	+	6.34213i	−0.860402	+	0.496754i	−0.864147	−	0.503239i	$-0.832141\pi$
$163$	−10.9849	+	6.34213i	−0.860402	+	0.496754i	0.00374457	+	0.999993i	$0.498808\pi$
$164$	−14.2141	−	17.0163i	−1.10994	−	1.32875i
$165$	−12.8376	−	35.2710i	−0.999406	−	2.74584i
$166$	13.6645	+	13.6949i	1.06057	+	1.06293i
$167$	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	$-0.0580887\pi$
$168$	−0.212492	+	2.33909i	−0.0163941	+	0.180465i
$169$	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	$0.00154325\pi$
$173$	10.9316	+	13.0278i	0.831117	+	0.990486i	−0.168872	+	0.985638i	$0.554012\pi$
$174$	−4.19065	−	15.7094i	−0.317692	−	1.19093i
$175$	0.371077	−	2.10448i	0.0280508	−	0.159084i
$176$	19.3848	+	11.3068i	1.46118	+	0.852282i
$177$	−3.12057	+	1.13579i	−0.234556	+	0.0853716i
$178$	−1.52729	+	0.131913i	−0.114475	+	0.00988728i
$179$	0.312463	−	0.180400i	0.0233545	−	0.0134838i	−0.488277	−	0.872689i	$-0.662375\pi$
$179$	0.312463	−	0.180400i	0.0233545	−	0.0134838i	0.511632	+	0.859205i	$0.329041\pi$
$180$	4.24366	+	7.38806i	0.316304	+	0.550673i
$181$	−5.79643	+	6.90792i	−0.430845	+	0.513462i	−0.937166	−	0.348884i	$-0.886561\pi$
$181$	−5.79643	+	6.90792i	−0.430845	+	0.513462i	0.506321	+	0.862345i	$0.331005\pi$
$182$	−0.324467	−	0.151740i	−0.0240511	−	0.0112477i
$183$	−10.4069	+	18.0252i	−0.769298	+	1.33246i
$184$	−4.48946	+	3.12134i	−0.330968	+	0.230108i
$185$	5.08853	+	28.8585i	0.374116	+	2.12172i
$186$	10.0885	+	21.6976i	0.739722	+	1.59095i
$187$	−1.88072	+	5.16723i	−0.137532	+	0.377865i
$188$	−2.82605	−	7.81845i	−0.206111	−	0.570219i
$189$			1.39167i			0.101229i
$190$	−12.5122	+	15.3881i	−0.907728	+	1.11637i
$191$	−10.9929			−0.795418			−0.397709	−	0.917512i	$-0.630195\pi$
$191$	−10.9929			−0.795418			−0.397709	+	0.917512i	$0.630195\pi$
$192$	−15.5941	−	5.79364i	−1.12541	−	0.418120i
$193$	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	$0.569874\pi$
$194$	4.36465	−	2.02938i	0.313363	−	0.145701i
$195$	−4.17888	+	0.736850i	−0.299256	+	0.0527669i
$196$	−0.0303603	+	13.6810i	−0.00216860	+	0.977216i
$197$	−4.94006	−	2.85214i	−0.351965	−	0.203207i	0.313586	−	0.949560i	$-0.398470\pi$
$197$	−4.94006	−	2.85214i	−0.351965	−	0.203207i	−0.665550	+	0.746353i	$0.731803\pi$
$198$	−9.51639	−	4.45043i	−0.676300	−	0.316278i
$199$	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	$0.692799\pi$
$200$	13.6961	+	6.44221i	0.968464	+	0.455533i
$201$	1.36104	+	2.35740i	0.0960007	+	0.166278i
$202$	1.12799	+	13.0599i	0.0793653	+	0.918892i
$203$	0.755119	+	2.07467i	0.0529990	+	0.145614i
$204$	0.716741	−	4.01275i	0.0501819	−	0.280948i
$205$	35.1254	+	6.19356i	2.45327	+	0.432577i
$206$	6.70946	+	25.1516i	0.467470	+	1.75240i
$207$	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	0.956082	−	0.293099i	$-0.0946864\pi$
$211$	7.28347	+	8.68010i	0.501414	+	0.597562i	−0.454668	+	0.890661i	$0.650242\pi$
$212$	−8.67030	−	7.30809i	−0.595478	−	0.501922i
$213$	2.44071	+	0.430363i	0.167235	+	0.0294880i
$214$	−7.03790	−	7.05354i	−0.481101	−	0.482170i
$215$	9.28016	−	3.37770i	0.632901	−	0.230357i
$216$	−9.51254	−	2.58285i	−0.647246	−	0.175740i
$217$	−1.62465	−	2.81397i	−0.110288	−	0.191025i
$218$	−23.7542	−	2.10479i	−1.60884	−	0.142554i
$219$	11.3091	−	13.4776i	0.764197	−	0.910735i
$220$	−35.5660	+	6.18989i	−2.39786	+	0.417323i
$221$	0.538368	+	0.310827i	0.0362146	+	0.0209085i
$222$	21.9237	+	15.3874i	1.47142	+	1.03274i
$223$	−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	$-0.248545\pi$
$224$	2.17874	+	0.596766i	0.145573	+	0.0398731i
$225$	−6.65823	−	2.42340i	−0.443882	−	0.161560i
$226$	−20.0625	−	5.39960i	−1.33454	−	0.359176i
$227$			9.25881i			0.614529i	0.951624	+	0.307264i	$0.0994136\pi$
$227$			9.25881i			0.614529i	−0.951624	+	0.307264i	$0.900586\pi$
$228$	1.83877	+	18.0347i	0.121775	+	1.19438i
$229$			24.0296i			1.58792i	0.607969	+	0.793961i	$0.291985\pi$
$229$			24.0296i			1.58792i	−0.607969	+	0.793961i	$0.708015\pi$
$230$	2.28601	−	8.49380i	0.150735	−	0.560064i
$231$	4.37785	+	1.59341i	0.288041	+	0.104838i
$232$	−15.5825	+	1.31104i	−1.02304	+	0.0860741i
$233$	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	$0.840553\pi$
$234$	−0.682302	+	0.972131i	−0.0446035	+	0.0635502i
$235$	11.5820	+	6.68685i	0.755524	+	0.436202i
$236$	0.547645	+	3.14667i	0.0356487	+	0.204831i
$237$	−9.97892	+	11.8924i	−0.648201	+	0.772496i
$238$	−0.0488548	+	0.551366i	−0.00316679	+	0.0357397i
$239$	−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	$0.949600\pi$
$240$	25.1876	−	9.04113i	1.62585	−	0.583602i
$241$	−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	$0.606305\pi$
$242$	20.4985	−	20.4531i	1.31769	−	1.31477i
$243$	12.6789	+	2.23564i	0.813355	+	0.143416i
$244$	15.3065	+	12.9017i	0.979899	+	0.825945i
$245$	−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
$250$	−1.54416	+	0.411922i	−0.0976615	+	0.0260522i
$251$	−0.159117	−	0.0280567i	−0.0100434	−	0.00177092i	0.168624	−	0.985680i	$-0.446068\pi$
$251$	−0.159117	−	0.0280567i	−0.0100434	−	0.00177092i	−0.178668	+	0.983909i	$0.557179\pi$
$252$	−1.04104	−	0.185947i	−0.0655794	−	0.0117135i
$253$	3.70951	+	10.1918i	0.233215	+	0.640752i
$254$	−9.44746	+	0.815984i	−0.592786	+	0.0511994i
$255$	3.27867	+	5.67882i	0.205318	+	0.355622i
$256$	−8.12268	+	13.7848i	−0.507668	+	0.861553i
$257$	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	$0.545847\pi$
$258$	3.82398	−	8.17686i	0.238071	−	0.509069i
$259$	−3.14989	−	1.81859i	−0.195725	−	0.113002i
$260$	−0.00905687	+	4.08122i	−0.000561683	+	0.253107i
$261$	7.20932	−	1.27120i	0.446246	−	0.0786852i
$262$	−2.27408	−	4.89093i	−0.140493	−	0.302163i
$263$	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	$0.510375\pi$
$264$	−19.0164	+	26.9668i	−1.17038	+	1.65969i
$265$	18.2413			1.12056
$266$	−0.464866	−	2.41739i	−0.0285028	−	0.148219i
$267$		−	2.25407i		−	0.137947i
$268$	2.46218	−	0.889978i	0.150402	−	0.0543641i
$269$	−5.10993	+	14.0394i	−0.311558	+	0.855998i	0.680785	+	0.732483i	$0.261639\pi$
$269$	−5.10993	+	14.0394i	−0.311558	+	0.855998i	−0.992343	+	0.123515i	$0.960583\pi$
$270$	14.3783	−	6.68532i	0.875038	−	0.406856i
$271$	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	$0.821413\pi$
$272$	−3.67810	−	1.35723i	−0.223017	−	0.0822944i
$273$	0.263343	−	0.456123i	0.0159382	−	0.0276058i
$274$	−1.71265	+	3.66218i	−0.103465	+	0.221240i
$275$	19.2979	−	22.9984i	1.16371	−	1.38685i
$276$	−4.00452	−	6.97171i	−0.241044	−	0.419648i
$277$	3.13358	−	1.80917i	0.188279	−	0.108703i	−0.402898	−	0.915245i	$-0.631997\pi$
$277$	3.13358	−	1.80917i	0.188279	−	0.108703i	0.591176	+	0.806542i	$0.298664\pi$
$278$	−2.32691	−	26.9409i	−0.139558	−	1.61581i
$279$	−10.1240	+	3.68484i	−0.606110	+	0.220606i
$280$	−3.29858	+	1.52481i	−0.197128	+	0.0911247i
$281$	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	$0.0307966\pi$
$282$	11.8111	−	3.15073i	0.703341	−	0.187623i
$283$	−5.84787	−	6.96922i	−0.347620	−	0.414277i	0.563698	−	0.825981i	$-0.309378\pi$
$283$	−5.84787	−	6.96922i	−0.347620	−	0.414277i	−0.911318	+	0.411704i	$0.864934\pi$
$284$	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
$288$	3.20311	−	6.77076i	0.188745	−	0.398971i
$289$	−2.78520	+	15.7957i	−0.163835	+	0.929157i
$290$	17.8075	−	17.7680i	1.04569	−	1.04337i
$291$	2.42066	+	6.65070i	0.141901	+	0.389871i
$292$	−10.8482	−	12.9868i	−0.634845	−	0.759997i
$293$	−7.75290	+	4.47614i	−0.452929	+	0.261499i	−0.709067	−	0.705142i	$-0.750883\pi$
$293$	−7.75290	+	4.47614i	−0.452929	+	0.261499i	0.256137	+	0.966640i	$0.417550\pi$
$294$	−20.0380	−	1.77550i	−1.16864	−	0.103549i
$295$	−3.93596	−	3.30266i	−0.229161	−	0.192289i
$296$	18.2766	−	18.1554i	1.06231	−	1.05526i
$297$	−9.77588	+	16.9323i	−0.567254	+	0.982513i
$298$	15.1143	−	21.5345i	0.875547	−	1.24746i
$299$	1.20752	−	0.212918i	0.0698324	−	0.0123133i
$300$	−11.1704	+	19.2489i	−0.644921	+	1.11133i
$301$	−0.419241	+	1.15186i	−0.0241647	+	0.0663919i
$302$	−7.27297	−	1.95744i	−0.418512	−	0.112638i
$303$	−19.2746			−1.10730
$304$	17.3864	+	1.30898i	0.997178	+	0.0750753i
$305$	−32.2032			−1.84395
$306$	1.77228	+	0.476988i	0.101314	+	0.0272676i
$307$	5.86034	−	16.1012i	0.334467	−	0.918942i	−0.652467	−	0.757817i	$-0.726266\pi$
$307$	5.86034	−	16.1012i	0.334467	−	0.918942i	0.986934	−	0.161124i	$-0.0515120\pi$
$308$	2.24902	−	3.87552i	0.128150	−	0.220828i
$309$	−37.6945	+	6.64655i	−2.14436	+	0.378109i
$310$	−21.2686	+	30.3031i	−1.20798	+	1.72110i
$311$	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	$0.0887985\pi$
$312$	2.62901	+	2.64657i	0.148838	+	0.149832i
$313$	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	$0.719261\pi$
$314$	1.82402	+	0.161621i	0.102935	+	0.00912079i
$315$	1.47328	−	0.850597i	0.0830098	−	0.0479257i
$316$	9.57227	+	11.4593i	0.538482	+	0.644638i
$317$	4.58015	+	12.5839i	0.257247	+	0.706781i	0.999334	+	0.0364774i	$0.0116137\pi$
$317$	4.58015	+	12.5839i	0.257247	+	0.706781i	−0.742087	+	0.670303i	$0.766164\pi$
$318$	11.8029	−	11.7768i	0.661875	−	0.660408i
$319$	−5.38621	+	30.5467i	−0.301570	+	1.71029i
$320$	−4.30063	−	25.3768i	−0.240412	−	1.41861i
$321$	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
$326$	−17.3321	+	4.62353i	−0.959939	+	0.256074i
$327$	6.08895	−	34.5321i	0.336720	−	1.90963i
$328$	−13.1569	−	28.4620i	−0.726468	−	1.57155i
$329$	−1.55984	+	0.567736i	−0.0859968	+	0.0313003i
$330$	−4.56772	−	52.8851i	−0.251445	−	2.91123i
$331$	−21.7419	+	12.5527i	−1.19504	+	0.689957i	−0.959446	−	0.281894i	$-0.909037\pi$
$331$	−21.7419	+	12.5527i	−1.19504	+	0.689957i	−0.235595	+	0.971851i	$0.575704\pi$
$332$	13.6271	+	23.7242i	0.747884	+	1.30204i
$333$	−7.75195	+	9.23842i	−0.424804	+	0.506262i
$334$	5.41147	−	11.5714i	0.296102	−	0.633158i
$335$	−2.10582	+	3.64739i	−0.115053	+	0.199278i
$336$	−1.14989	+	3.11621i	−0.0627319	+	0.170003i
$337$	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	$0.924884\pi$
$338$	16.1550	−	7.51139i	0.878716	−	0.408566i
$339$	10.4485	−	28.7071i	0.567486	−	1.55915i
$340$	5.93124	−	2.14390i	0.321667	−	0.116269i
$341$		−	45.6497i		−	2.47207i
$342$	−8.16128	+	0.126095i	−0.441311	+	0.00681843i
$343$	5.52703			0.298432
$344$	−7.09524	−	5.00342i	−0.382549	−	0.269766i
$345$	12.1536	+	4.42356i	0.654329	+	0.238156i
$346$	10.1402	+	21.8088i	0.545140	+	1.17245i
$347$	17.8872	−	3.15399i	0.960234	−	0.169315i	0.328503	−	0.944503i	$-0.393456\pi$
$347$	17.8872	−	3.15399i	0.960234	−	0.169315i	0.631731	+	0.775188i	$0.282345\pi$
$348$	0.0510257	−	22.9933i	0.00273527	−	1.23257i
$349$	−5.27064	−	3.04301i	−0.282131	−	0.162888i	0.352257	−	0.935903i	$-0.385414\pi$
$349$	−5.27064	−	3.04301i	−0.282131	−	0.162888i	−0.634388	+	0.773015i	$0.718748\pi$
$350$	1.28023	−	2.73754i	0.0684314	−	0.146327i
$351$	1.69323	+	1.42079i	0.0903780	+	0.0758362i
$352$	22.3165	+	22.5655i	1.18947	+	1.20274i
$353$	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	$0.662457\pi$
$354$	−4.67896	+	0.404125i	−0.248684	+	0.0214790i
$355$	1.31149	+	3.60329i	0.0696067	+	0.191243i
$356$	−2.13417	−	0.381198i	−0.113111	−	0.0202034i
$357$	−0.801534	−	0.141332i	−0.0424217	−	0.00748009i
$358$	0.493009	−	0.131515i	0.0260563	−	0.00695080i
$359$	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
$364$	−0.387327	−	0.326473i	−0.0203014	−	0.0171119i
$365$	26.8077	+	4.72693i	1.40318	+	0.247419i
$366$	−20.8368	+	20.7906i	−1.08916	+	1.08674i
$367$	−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	$0.426895\pi$
$368$	−7.27811	+	2.61249i	−0.379398	+	0.136186i
$369$	7.33943	+	12.7123i	0.382075	+	0.661774i
$370$	−3.65768	+	41.2799i	−0.190154	+	2.14604i
$371$	−1.45535	+	1.73442i	−0.0755580	+	0.0900465i
$372$	5.80224	+	33.3386i	0.300832	+	1.72852i
$373$	−9.74698	−	5.62742i	−0.504679	−	0.291377i	0.225964	−	0.974136i	$-0.427447\pi$
$373$	−9.74698	−	5.62742i	−0.504679	−	0.291377i	−0.730644	+	0.682759i	$0.760780\pi$
$374$	−4.46751	+	6.36522i	−0.231010	+	0.329138i
$375$	−0.408060	−	2.31422i	−0.0210721	−	0.119506i
$376$	−0.985706	−	11.7157i	−0.0508339	−	0.604191i
$377$	3.29515	+	1.19934i	0.169709	+	0.0617690i
$378$	−0.511496	+	1.90049i	−0.0263085	+	0.0977508i
$379$			7.19550i			0.369608i	0.982775	+	0.184804i	$0.0591651\pi$
$379$			7.19550i			0.369608i	−0.982775	+	0.184804i	$0.940835\pi$
$380$	−22.7426	+	16.4155i	−1.16667	+	0.842098i
$381$		−	13.9432i		−	0.714330i
$382$	−15.0121	−	4.04034i	−0.768086	−	0.206722i
$383$	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	$0.478750\pi$
$384$	−19.1662	−	13.6434i	−0.978070	−	0.696235i
$385$	1.25168	+	7.09864i	0.0637916	+	0.361780i
$386$	4.15505	+	2.91627i	0.211486	+	0.148434i
$387$	3.51983	+	2.03218i	0.178923	+	0.103301i
$388$	6.70632	−	1.16717i	0.340462	−	0.0592539i
$389$	16.6362	−	19.8263i	0.843490	−	1.00523i	−0.156357	−	0.987701i	$-0.549975\pi$
$389$	16.6362	−	19.8263i	0.843490	−	1.00523i	0.999846	−	0.0175310i	$-0.00558059\pi$
$390$	−5.97758	−	0.529655i	−0.302687	−	0.0268201i
$391$	−0.947393	−	1.64093i	−0.0479117	−	0.0829855i
$392$	−5.06980	+	18.6719i	−0.256063	+	0.943074i
$393$	7.45263	−	2.71254i	0.375936	−	0.136829i
$394$	−5.69796	−	5.71061i	−0.287059	−	0.287697i
$395$	−23.6546	−	4.17095i	−1.19019	−	0.209863i
$396$	−11.3600	−	9.57525i	−0.570864	−	0.481174i
$397$	8.58453	+	10.2306i	0.430845	+	0.513462i	0.937166	−	0.348884i	$-0.113439\pi$
$397$	8.58453	+	10.2306i	0.430845	+	0.513462i	−0.506321	+	0.862345i	$0.668995\pi$
$398$	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	$0.0523302\pi$
$402$	0.992227	+	3.71955i	0.0494878	+	0.185514i
$403$	−5.08236	−	0.896157i	−0.253170	−	0.0446408i
$404$	−3.25964	+	18.2494i	−0.162173	+	0.907943i
$405$	12.3454	+	33.9186i	0.613447	+	1.68543i
$406$	0.268678	+	3.11075i	0.0133342	+	0.154384i
$407$	−25.5496	−	44.2532i	−1.26645	−	2.19355i
$408$	2.45364	−	5.21645i	0.121473	−	0.258253i
$409$	−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	$0.959740\pi$
$410$	45.6916	+	21.3681i	2.25655	+	1.05529i
$411$	−5.14816	−	2.97229i	−0.253940	−	0.146612i
$412$	−0.0816951	+	36.8136i	−0.00402483	+	1.81367i
$413$	0.628046	−	0.110741i	0.0309041	−	0.00544923i
$414$	3.28254	−	1.52624i	0.161328	−	0.0750106i
$415$	−41.3579	−	15.0531i	−2.03018	−	0.738926i
$416$	2.95040	−	2.04160i	0.144655	−	0.100097i
$417$	39.7611			1.94711
$418$	11.3251	−	32.6775i	0.553928	−	1.59831i
$419$			19.2095i			0.938444i	0.883080	+	0.469222i	$0.155466\pi$
$419$			19.2095i			0.938444i	−0.883080	+	0.469222i	$0.844534\pi$
$420$	−1.81638	−	5.02514i	−0.0886305	−	0.245202i
$421$	−3.95210	+	10.8583i	−0.192613	+	0.529201i	−0.997977	−	0.0635805i	$-0.979748\pi$
$421$	−3.95210	+	10.8583i	−0.192613	+	0.529201i	0.805363	+	0.592782i	$0.201970\pi$
$422$	6.75614	+	14.5307i	0.328884	+	0.707342i
$423$	0.955748	+	5.42032i	0.0464701	+	0.263545i
$424$	−9.15429	−	13.1668i	−0.444572	−	0.639434i
$425$	−2.62246	+	4.54223i	−0.127208	+	0.220331i
$426$	3.17490	+	1.48477i	0.153825	+	0.0719375i
$427$	2.56927	−	3.06194i	0.124336	−	0.148177i
$428$	−7.01863	−	12.2192i	−0.339258	−	0.590635i
$429$	6.40813	−	3.69974i	0.309387	−	0.178625i
$430$	13.9146	−	1.20181i	0.671021	−	0.0579566i
$431$	−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	$0.405166\pi$
$432$	−12.0412	−	7.02343i	−0.579332	−	0.337915i
$433$	−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	$0.927640\pi$
$434$	−1.18440	−	4.43993i	−0.0568529	−	0.213123i
$435$	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	$0.0183056\pi$
$440$	−50.8446	−	4.61892i	−2.42392	−	0.220198i
$441$	1.57282	−	8.91989i	0.0748960	−	0.424757i
$442$	0.620964	+	0.622343i	0.0295362	+	0.0296018i
$443$	−13.4326	−	36.9059i	−0.638204	−	1.75345i	−0.657296	−	0.753633i	$-0.728300\pi$
$443$	−13.4326	−	36.9059i	−0.638204	−	1.75345i	0.0190918	−	0.999818i	$-0.493923\pi$
$444$	24.2839	+	29.0713i	1.15246	+	1.37966i
$445$	3.02027	−	1.74376i	0.143175	−	0.0826619i
$446$	2.12426	−	23.9740i	0.100587	−	1.13520i
$447$	29.6344	+	24.8662i	1.40166	+	1.17613i
$448$	2.75599	+	1.61573i	0.130208	+	0.0763361i
$449$	−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	$0.986457\pi$
$450$	−8.20190	−	5.75661i	−0.386641	−	0.271369i
$451$	−61.2511	+	10.8002i	−2.88420	+	0.508562i
$452$	−25.4131	−	14.7476i	−1.19533	−	0.693668i
$453$	3.78775	−	10.4068i	0.177964	−	0.488952i
$454$	−3.40299	+	12.6440i	−0.159710	+	0.593412i
$455$	0.814893			0.0382028
$456$	−4.11743	+	25.3043i	−0.192816	+	1.18498i
$457$	25.2703			1.18210			0.591048	−	0.806637i	$-0.298714\pi$
$457$	25.2703			1.18210			0.591048	+	0.806637i	$0.298714\pi$
$458$	−8.83187	+	32.8153i	−0.412686	+	1.53336i
$459$	1.16824	−	3.20972i	0.0545289	−	0.149817i
$460$	6.24364	−	10.7591i	0.291111	−	0.501645i
$461$	−26.2579	+	4.62997i	−1.22295	+	0.215639i	−0.747595	−	0.664154i	$-0.768792\pi$
$461$	−26.2579	+	4.62997i	−1.22295	+	0.215639i	−0.475356	+	0.879794i	$0.657681\pi$
$462$	5.39283	+	3.78503i	0.250897	+	0.176095i
$463$	−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	$0.971831\pi$
$464$	−21.7616	−	3.93683i	−1.01026	−	0.182763i
$465$	−41.7010	−	34.9913i	−1.93384	−	1.62268i
$466$	−1.22175	+	13.7885i	−0.0565967	+	0.638739i
$467$	−16.7094	+	9.64718i	−0.773219	+	0.446418i	−0.834022	−	0.551731i	$-0.813967\pi$
$467$	−16.7094	+	9.64718i	−0.773219	+	0.446418i	0.0608025	+	0.998150i	$0.480634\pi$
$468$	−1.28906	+	1.07679i	−0.0595869	+	0.0497745i
$469$	−0.178791	−	0.491224i	−0.00825581	−	0.0226826i
$470$	13.3588	+	13.3885i	0.616198	+	0.617567i
$471$	−0.467553	+	2.65162i	−0.0215437	+	0.122180i
$472$	−0.408655	+	4.49843i	−0.0188099	+	0.207057i
$473$	−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
$478$	−4.02573	−	15.0912i	−0.184132	−	0.690254i
$479$	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	$-0.00301737\pi$
$480$	37.7196	−	3.08927i	1.72166	−	0.141005i
$481$	−5.42845	+	1.97580i	−0.247516	+	0.0900885i
$482$	−27.6103	+	2.38472i	−1.25761	+	0.108621i
$483$	−1.39025	+	0.802663i	−0.0632587	+	0.0365224i
$484$	35.5105	−	20.3970i	1.61411	−	0.927138i
$485$	−7.03879	+	8.38850i	−0.319615	+	0.380902i
$486$	16.4929	+	7.71306i	0.748134	+	0.349872i
$487$	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	$0.0431117\pi$
$488$	16.1610	+	23.2445i	0.731572	+	1.05223i
$489$	−4.58018	−	25.9755i	−0.207123	−	1.17465i
$490$	−13.1224	−	28.2229i	−0.592811	−	1.27498i
$491$	3.89459	−	10.7003i	0.175761	−	0.482898i	−0.820263	−	0.571986i	$-0.806173\pi$
$491$	3.89459	−	10.7003i	0.175761	−	0.482898i	0.996024	+	0.0890882i	$0.0283953\pi$
$492$	43.3598	−	15.6728i	1.95481	−	0.706584i
$493$		−	5.41886i		−	0.244053i
$494$	−3.41580	−	1.90237i	−0.153684	−	0.0855916i
$495$	23.9003			1.07424
$496$	32.5465	+	0.144453i	1.46138	+	0.00648611i
$497$	−0.447242	−	0.162783i	−0.0200615	−	0.00730180i
$498$	−36.4787	+	16.9610i	−1.63465	+	0.760043i
$499$	19.2447	−	3.39336i	0.861512	−	0.151908i	0.274600	−	0.961559i	$-0.411455\pi$
$499$	19.2447	−	3.39336i	0.861512	−	0.151908i	0.586912	+	0.809651i	$0.300343\pi$
$500$	−2.26014	−	0.00501560i	−0.101076	−	0.000224304i
$501$	16.2666	+	9.39155i	0.726740	+	0.419583i
$502$	−0.206982	−	0.0967969i	−0.00923804	−	0.00432026i
$503$	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	$0.463004\pi$
$504$	−1.35332	−	0.636557i	−0.0602818	−	0.0283545i
$505$	−14.9109	−	25.8265i	−0.663528	−	1.14926i
$506$	1.31987	+	15.2815i	0.0586755	+	0.679345i
$507$	8.95965	+	24.6164i	0.397912	+	1.09325i
$508$	−13.2015	−	2.35801i	−0.585723	−	0.104620i
$509$	20.6972	+	3.64947i	0.917385	+	0.161760i	0.612355	−	0.790583i	$-0.290222\pi$
$509$	20.6972	+	3.64947i	0.917385	+	0.161760i	0.305030	+	0.952343i	$0.401333\pi$
$510$	2.39021	+	8.96015i	0.105840	+	0.396762i
$511$	−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
$516$	8.22743	−	9.76099i	0.362192	−	0.429704i
$517$	−22.9665	−	4.04961i	−1.01007	−	0.178102i
$518$	−3.63314	−	3.64121i	−0.159631	−	0.159986i
$519$	−33.2316	+	12.0953i	−1.45870	+	0.530925i
$520$	−1.51238	+	5.57006i	−0.0663224	+	0.244263i
$521$	−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	$-0.394623\pi$
$522$	10.3124	+	0.913749i	0.451361	+	0.0399937i
$523$	1.57538	−	1.87747i	0.0688866	−	0.0820959i	−0.730501	−	0.682912i	$-0.760713\pi$
$523$	1.57538	−	1.87747i	0.0688866	−	0.0820959i	0.799387	+	0.600816i	$0.205158\pi$
$524$	−1.30790	−	7.51496i	−0.0571360	−	0.328293i
$525$	3.84833	+	2.22183i	0.167955	+	0.0969688i
$526$	11.6845	+	8.20092i	0.509469	+	0.357577i
$527$	1.38485	+	7.85388i	0.0603251	+	0.342120i
$528$	−35.8806	+	29.8370i	−1.56150	+	1.29849i
$529$	18.1011	+	6.58825i	0.787003	+	0.286446i
$530$	24.9107	+	6.70444i	1.08205	+	0.291222i
$531$		−	2.11455i		−	0.0917639i
$532$	0.253658	−	3.47208i	0.0109975	−	0.150534i
$533$			7.03135i			0.304562i
$534$	0.828462	−	3.07820i	0.0358510	−	0.133207i
$535$	21.3014	+	7.75307i	0.920939	+	0.335194i
$536$	3.68951	−	0.310418i	0.159362	−	0.0134080i
$537$	0.130282	+	0.738867i	0.00562209	+	0.0318845i
$538$	−12.1383	+	17.2944i	−0.523318	+	0.745613i
$539$	33.2360	+	19.1888i	1.43158	+	0.826521i
$540$	22.0925	−	3.84497i	0.950708	−	0.165461i
$541$	−7.11092	+	8.47446i	−0.305722	+	0.364346i	−0.896929	−	0.442174i	$-0.854207\pi$
$541$	−7.11092	+	8.47446i	−0.305722	+	0.364346i	0.591207	+	0.806520i	$0.298652\pi$
$542$	−1.54916	+	17.4835i	−0.0665421	+	0.750981i
$543$	−9.37585	−	16.2395i	−0.402356	−	0.696902i
$544$	−4.52404	−	3.20532i	−0.193966	−	0.137427i
$545$	50.9808	−	18.5555i	2.18378	−	0.794830i
$546$	0.527270	−	0.526101i	0.0225651	−	0.0225151i
$547$	4.49613	+	0.792789i	0.192241	+	0.0338972i	0.268939	−	0.963157i	$-0.413327\pi$
$547$	4.49613	+	0.792789i	0.192241	+	0.0338972i	−0.0766988	+	0.997054i	$0.524438\pi$
$548$	−3.68483	+	4.37167i	−0.157408	+	0.186749i
$549$	−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
$554$	4.94422	−	1.31892i	0.210060	−	0.0560356i
$555$	−60.0096	−	10.5813i	−2.54727	−	0.449152i
$556$	6.72422	−	37.6462i	0.285170	−	1.59656i
$557$	−12.5760	−	34.5524i	−0.532864	−	1.46403i	−0.855648	−	0.517559i	$-0.826841\pi$
$557$	−12.5760	−	34.5524i	−0.532864	−	1.46403i	0.322784	−	0.946473i	$-0.395381\pi$
$558$	−15.1799	+	1.31110i	−0.642616	+	0.0555032i
$559$	0.973437	+	1.68604i	0.0411720	+	0.0713120i
$560$	−5.06504	+	0.869941i	−0.214037	+	0.0367617i
$561$	−8.75938	−	7.34999i	−0.369821	−	0.310317i
$562$	1.56071	−	3.33729i	0.0658347	−	0.140775i
$563$	15.2628	+	8.81195i	0.643248	+	0.371380i	0.785865	−	0.618398i	$-0.212218\pi$
$563$	15.2628	+	8.81195i	0.643248	+	0.371380i	−0.142616	+	0.989778i	$0.545552\pi$
$564$	17.2875	+	0.0383636i	0.727934	+	0.00161540i
$565$	46.5482	−	8.20771i	1.95830	−	0.345301i
$566$	−5.42448	−	11.6666i	−0.228008	−	0.490385i
$567$	−4.20999	−	1.53231i	−0.176803	−	0.0643511i
$568$	1.94272	−	2.75493i	0.0815149	−	0.115594i
$569$	30.8712			1.29419			0.647094	−	0.762411i	$-0.275984\pi$
$569$	30.8712			1.29419			0.647094	+	0.762411i	$0.275984\pi$
$570$	−21.1701	−	35.3935i	−0.886718	−	1.48247i
$571$			11.3096i			0.473293i	0.971596	+	0.236646i	$0.0760483\pi$
$571$			11.3096i			0.473293i	−0.971596	+	0.236646i	$0.923952\pi$
$572$	−2.41923	−	6.69297i	−0.101153	−	0.279847i
$573$	7.81828	−	21.4805i	0.326613	−	0.897363i
$574$	−5.67713	+	2.63962i	−0.236959	+	0.110176i
$575$	1.79639	+	10.1879i	0.0749148	+	0.424863i
$576$	6.86275	−	8.06900i	0.285948	−	0.336208i
$577$	−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	$0.327046\pi$
$578$	−9.60908	+	20.5472i	−0.399685	+	0.854650i
$579$	−4.79788	+	5.71789i	−0.199393	+	0.237627i
$580$	30.8487	−	17.7193i	1.28092	−	0.735755i
$581$	4.73093	−	2.73141i	0.196272	−	0.113318i
$582$	0.861289	+	9.97201i	0.0357016	+	0.413353i
$583$	−29.8906	+	10.8793i	−1.23794	+	0.450574i
$584$	−10.0413	−	21.7222i	−0.415514	−	0.898872i
$585$	0.469191	−	2.66091i	0.0193987	−	0.110015i
$586$	−12.2327	+	3.26319i	−0.505327	+	0.134801i
$587$	4.58290	+	5.46169i	0.189157	+	0.225428i	0.852285	−	0.523077i	$-0.175216\pi$
$587$	4.58290	+	5.46169i	0.189157	+	0.225428i	−0.663128	+	0.748506i	$0.730772\pi$
$588$	−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
$592$	31.6317	−	18.0759i	1.30006	−	0.742914i
$593$	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	$-0.0116623\pi$
$594$	−19.5734	+	19.5301i	−0.803108	+	0.801328i
$595$	−0.430696	−	1.18333i	−0.0176568	−	0.0485117i
$596$	28.5552	−	23.8529i	1.16967	−	0.977051i
$597$	−4.68988	+	2.70770i	−0.191944	+	0.110819i
$598$	1.72726	+	0.153047i	0.0706330	+	0.00625856i
$599$	−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	$0.758558\pi$
$600$	−22.3292	+	22.1810i	−0.911586	+	0.905537i
$601$	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	$0.134498\pi$
$602$	−0.995878	+	1.41891i	−0.0405890	+	0.0578304i
$603$	−1.70696	+	0.300984i	−0.0695130	+	0.0122570i
$604$	−9.21266	−	5.34622i	−0.374858	−	0.217535i
$605$	−22.5314	+	61.9046i	−0.916032	+	2.51678i
$606$	−26.3218	−	7.08422i	−1.06925	−	0.287777i
$607$	−8.74391			−0.354904			−0.177452	−	0.984129i	$-0.556785\pi$
$607$	−8.74391			−0.354904			−0.177452	+	0.984129i	$0.556785\pi$
$608$	23.2621	+	8.17778i	0.943402	+	0.331653i
$609$	−4.59104			−0.186038
$610$	−43.9773	−	11.8360i	−1.78059	−	0.479225i
$611$	−0.901720	+	2.47746i	−0.0364797	+	0.100227i
$612$	2.24494	+	1.30277i	0.0907463	+	0.0526613i
$613$	38.3746	−	6.76648i	1.54994	−	0.273296i	0.667818	−	0.744324i	$-0.267228\pi$
$613$	38.3746	−	6.76648i	1.54994	−	0.273296i	0.882118	+	0.471029i	$0.156117\pi$
$614$	13.9208	−	19.8341i	0.561799	−	0.800440i
$615$	−37.0841	+	64.2316i	−1.49538	+	2.59007i
$616$	4.49571	−	4.46588i	0.181137	−	0.179935i
$617$	−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	$0.927159\pi$
$618$	−53.9192	−	4.77761i	−2.16895	−	0.192183i
$619$	−3.35151	+	1.93499i	−0.134708	+	0.0777739i	−0.565840	−	0.824515i	$-0.691448\pi$
$619$	−3.35151	+	1.93499i	−0.134708	+	0.0777739i	0.431131	+	0.902289i	$0.358115\pi$
$620$	−40.1824	+	33.5654i	−1.61377	+	1.34802i
$621$	−2.30423	−	6.33082i	−0.0924655	−	0.254047i
$622$	8.55186	−	8.53291i	0.342899	−	0.342138i
$623$	−0.0751673	+	0.426295i	−0.00301151	+	0.0170791i
$624$	2.61750	+	4.58047i	0.104784	+	0.183366i
$625$	−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
$630$	2.32456	−	0.620101i	0.0926128	−	0.0247054i
$631$	−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	$0.886936\pi$
$632$	8.86030	+	19.1673i	0.352444	+	0.762434i
$633$	−22.1413	+	8.05879i	−0.880039	+	0.320308i
$634$	1.62966	+	18.8682i	0.0647219	+	0.749350i
$635$	18.6828	−	10.7865i	0.741402	−	0.428049i
$636$	20.4467	−	11.7445i	0.810765	−	0.465700i
$637$	2.78883	−	3.32360i	0.110497	−	0.131686i
$638$	−18.5827	+	39.7355i	−0.735695	+	1.57314i
$639$	−0.789052	+	1.36668i	−0.0312144	+	0.0540650i
$640$	3.45401	−	36.2357i	0.136532	−	1.43234i
$641$	−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	$-0.168945\pi$
$642$	18.7883	−	8.73578i	0.741516	−	0.344774i
$643$	6.49835	−	17.8541i	0.256270	−	0.704096i	−0.743120	−	0.669159i	$-0.766655\pi$
$643$	6.49835	−	17.8541i	0.256270	−	0.704096i	0.999390	−	0.0349373i	$-0.0111231\pi$
$644$	0.524856	+	1.45205i	0.0206822	+	0.0572187i
$645$			20.5361i			0.808606i
$646$	−0.957124	+	5.96564i	−0.0376575	+	0.234715i
$647$	30.0626			1.18188			0.590942	−	0.806714i	$-0.298756\pi$
$647$	30.0626			1.18188			0.590942	+	0.806714i	$0.298756\pi$
$648$	18.2873	−	25.9328i	0.718394	−	1.01874i
$649$	8.41928	+	3.06437i	0.330486	+	0.120287i
$650$	−2.02371	−	4.35246i	−0.0793764	−	0.170718i
$651$	6.65407	−	1.17329i	0.260794	−	0.0459849i
$652$	−25.3684	−	0.0562966i	−0.993505	−	0.00220474i
$653$	−27.4148	−	15.8279i	−1.07282	−	0.619394i	−0.143871	−	0.989596i	$-0.545955\pi$
$653$	−27.4148	−	15.8279i	−1.07282	−	0.619394i	−0.928951	+	0.370202i	$0.879288\pi$
$654$	21.0071	−	44.9198i	0.821445	−	1.75650i
$655$	9.39998	+	7.88752i	0.367287	+	0.308191i
$656$	−7.50634	−	43.7040i	−0.293073	−	1.70635i
$657$	5.60145	+	9.70200i	0.218534	+	0.378511i
$658$	−2.33881	+	0.202005i	−0.0911764	+	0.00787497i
$659$	−4.83443	−	13.2825i	−0.188323	−	0.517412i	0.809218	−	0.587509i	$-0.199891\pi$
$659$	−4.83443	−	13.2825i	−0.188323	−	0.517412i	−0.997540	+	0.0700970i	$0.977669\pi$
$660$	13.1997	−	73.8997i	0.513796	−	2.87654i
$661$	−12.5373	−	2.21066i	−0.487643	−	0.0859846i	−0.0755794	−	0.997140i	$-0.524081\pi$
$661$	−12.5373	−	2.21066i	−0.487643	−	0.0859846i	−0.412063	+	0.911155i	$0.635192\pi$
$662$	−34.3047	+	9.15113i	−1.33329	+	0.355669i
$663$	−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
$668$	11.6430	−	13.8132i	0.450479	−	0.534447i
$669$	34.8517	+	6.14529i	1.34744	+	0.237591i
$670$	−4.21631	+	4.20696i	−0.162890	+	0.162529i
$671$	52.7688	−	19.2063i	2.03712	−	0.741449i
$672$	−2.71565	+	3.83292i	−0.104758	+	0.147858i
$673$	−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	$0.964578\pi$
$674$	−0.281434	+	3.17621i	−0.0108404	+	0.122343i
$675$	−11.9873	+	14.2859i	−0.461390	+	0.549863i
$676$	24.8223	−	4.32007i	0.954704	−	0.166156i
$677$	−13.1109	−	7.56956i	−0.503891	−	0.290922i	0.226428	−	0.974028i	$-0.427295\pi$
$677$	−13.1109	−	7.56956i	−0.503891	−	0.290922i	−0.730319	+	0.683106i	$0.760629\pi$
$678$	24.8197	−	35.3626i	0.953195	−	1.35809i
$679$	−0.236017	−	1.33852i	−0.00905751	−	0.0513677i
$680$	8.88778	−	0.747777i	0.340831	−	0.0286759i
$681$	−18.0921	−	6.58498i	−0.693290	−	0.252337i
$682$	16.7781	−	62.3400i	0.642467	−	2.38712i
$683$			21.1079i			0.807672i	0.914831	+	0.403836i	$0.132323\pi$
$683$			21.1079i			0.807672i	−0.914831	+	0.403836i	$0.867677\pi$
$684$	−11.1915	−	2.82741i	−0.427919	−	0.108109i
$685$		−	9.19751i		−	0.351419i
$686$	7.54782	+	2.03141i	0.288177	+	0.0775596i
$687$	−46.9548	−	17.0902i	−1.79144	−	0.652030i
$688$	−7.85042	−	9.44055i	−0.299295	−	0.359918i
$689$	0.624447	+	3.54142i	0.0237895	+	0.134917i
$690$	14.9714	+	10.5078i	0.569951	+	0.400027i
$691$	−15.2719	−	8.81722i	−0.580969	−	0.335423i	0.180549	−	0.983566i	$-0.442212\pi$
$691$	−15.2719	−	8.81722i	−0.580969	−	0.335423i	−0.761518	+	0.648143i	$0.775546\pi$
$692$	5.83198	+	33.5095i	0.221699	+	1.27384i
$693$	−1.90684	+	2.27248i	−0.0724347	+	0.0863243i
$694$	25.5863	+	2.26712i	0.971242	+	0.0860587i
$695$	30.7594	+	53.2768i	1.16677	+	2.02090i
$696$	8.52065	−	31.3813i	0.322975	−	1.18951i
$697$	10.2104	−	3.71629i	0.386747	−	0.140764i
$698$	−6.07925	−	6.09276i	−0.230103	−	0.230614i
$699$	−20.0447	−	3.53441i	−0.758159	−	0.133684i
$700$	2.75447	−	3.26789i	0.104109	−	0.123515i
$701$	5.42017	+	6.45951i	0.204717	+	0.243972i	0.858628	−	0.512599i	$-0.171317\pi$
$701$	5.42017	+	6.45951i	0.204717	+	0.243972i	−0.653911	+	0.756572i	$0.726873\pi$
$702$	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
$706$	7.00476	+	26.2586i	0.263628	+	0.988257i
$707$	3.64527	+	0.642759i	0.137094	+	0.0241735i
$708$	−6.53821	−	1.16783i	−0.245721	−	0.0438897i
$709$	13.5196	+	37.1449i	0.507741	+	1.39501i	0.883562	+	0.468314i	$0.155138\pi$
$709$	13.5196	+	37.1449i	0.507741	+	1.39501i	−0.375821	+	0.926692i	$0.622639\pi$
$710$	0.466639	+	5.40275i	0.0175127	+	0.202762i
$711$	−4.94262	−	8.56086i	−0.185363	−	0.321057i
$712$	−2.77436	−	1.30497i	−0.103974	−	0.0489057i
$713$	12.0498	+	10.1110i	0.451268	+	0.378659i
$714$	−1.04264	−	0.487602i	−0.0390200	−	0.0182481i
$715$	9.91471	+	5.72426i	0.370789	+	0.214075i
$716$	0.721600	+	0.00160134i	0.0269674	+	5.98450e-5i
$717$	22.6170	−	3.98798i	0.844646	−	0.148934i
$718$	34.1399	−	15.8736i	1.27409	−	0.592398i
$719$	−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	$0.885794\pi$
$720$	−0.0756294	+	17.0400i	−0.00281854	+	0.635044i
$721$	7.35052			0.273748
$722$	−3.19731	−	26.6792i	−0.118992	−	0.992895i
$723$		−	40.7490i		−	1.51547i
$724$	−16.9613	+	6.13081i	−0.630361	+	0.227850i
$725$	−10.1188	+	27.8013i	−0.375805	+	1.03251i
$726$	25.3873	+	54.6013i	0.942211	+	2.02644i
$727$	−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	$0.995060\pi$
$728$	−0.408948	−	0.588196i	−0.0151566	−	0.0218000i
$729$	3.44264	−	5.96282i	0.127505	−	0.220845i
$730$	34.8718	+	16.3081i	1.29066	+	0.603591i
$731$	1.93386	−	2.30468i	0.0715263	−	0.0852417i
$732$	−36.0966	+	20.7337i	−1.33417	+	0.766339i
$733$	19.6710	−	11.3571i	0.726566	−	0.419483i	−0.0905985	−	0.995887i	$-0.528878\pi$
$733$	19.6710	−	11.3571i	0.726566	−	0.419483i	0.817165	+	0.576404i	$0.195545\pi$
$734$	−6.43044	+	0.555401i	−0.237352	+	0.0205002i
$735$	43.0050	−	15.6526i	1.58626	−	0.577353i
$736$	−10.8993	+	0.892665i	−0.401754	+	0.0329041i
$737$	1.27530	−	7.23260i	0.0469764	−	0.266416i
$738$	5.35058	+	20.0576i	0.196958	+	0.738332i
$739$	21.4194	+	25.5267i	0.787927	+	0.939015i	0.999262	−	0.0383990i	$-0.0122258\pi$
$739$	21.4194	+	25.5267i	0.787927	+	0.939015i	−0.211336	+	0.977414i	$0.567781\pi$
$740$	−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	$0.934913\pi$
$744$	−4.32965	+	47.6603i	−0.158733	+	1.74731i
$745$	−10.3935	+	58.9443i	−0.380787	+	2.15955i
$746$	−11.2423	−	11.2673i	−0.411612	−	0.412526i
$747$	−6.19508	−	17.0208i	−0.226666	−	0.622760i
$748$	−8.44040	+	7.05047i	−0.308611	+	0.257791i
$749$	−2.43666	+	1.40681i	−0.0890338	+	0.0514037i
$750$	0.293317	−	3.31032i	0.0107104	−	0.120876i
$751$	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	$0.498220\pi$
$752$	2.95990	−	16.3615i	0.107937	−	0.596641i
$753$	0.167990	−	0.290967i	0.00612190	−	0.0106034i
$754$	4.05911	+	2.84894i	0.147824	+	0.103752i
$755$	16.8745	−	2.97542i	0.614124	−	0.108287i
$756$	−1.39702	+	2.40735i	−0.0508090	+	0.0875546i
$757$	−1.00191	+	2.75273i	−0.0364151	+	0.100050i	−0.956568	−	0.291510i	$-0.905842\pi$
$757$	−1.00191	+	2.75273i	−0.0364151	+	0.100050i	0.920153	+	0.391560i	$0.128064\pi$
$758$	−2.64464	+	9.82631i	−0.0960577	+	0.356908i
$759$	−22.5534			−0.818637
$760$	−37.0911	+	14.0585i	−1.34543	+	0.509955i
$761$	−23.8366			−0.864074			−0.432037	−	0.901856i	$-0.642205\pi$
$761$	−23.8366			−0.864074			−0.432037	+	0.901856i	$0.642205\pi$
$762$	5.12468	−	19.0410i	0.185648	−	0.689784i
$763$	−2.30311	+	6.32775i	−0.0833783	+	0.229080i
$764$	−19.0158	−	11.0351i	−0.687968	−	0.399237i
$765$	−4.11197	+	0.725051i	−0.148669	+	0.0262143i
$766$	18.3018	+	12.8453i	0.661270	+	0.464120i
$767$	0.506449	−	0.877195i	0.0182868	−	0.0316737i
$768$	−21.1592	−	25.6760i	−0.763516	−	0.926502i
$769$	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	$0.688849\pi$
$770$	−0.899721	+	10.1541i	−0.0324237	+	0.365928i
$771$	−30.3813	+	17.5407i	−1.09416	+	0.631711i
$772$	4.60236	+	5.50966i	0.165643	+	0.198297i
$773$	−2.79175	−	7.67027i	−0.100412	−	0.275881i	0.879307	−	0.476255i	$-0.158006\pi$
$773$	−2.79175	−	7.67027i	−0.100412	−	0.275881i	−0.979719	+	0.200375i	$0.935784\pi$
$774$	4.05984	+	4.06886i	0.145928	+	0.146252i
$775$	7.56091	−	42.8801i	0.271596	−	1.54030i
$776$	9.58726	+	0.870943i	0.344162	+	0.0312650i
$777$	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
$782$	−0.690667	−	2.58909i	−0.0246982	−	0.0925858i
$783$	3.34574	−	18.9746i	0.119567	−	0.678098i
$784$	−13.7861	+	23.6353i	−0.492361	+	0.844119i
$785$	−3.91467	+	1.42482i	−0.139721	+	0.0508541i
$786$	11.1744	−	0.965143i	0.398578	−	0.0344255i
$787$	31.4477	−	18.1563i	1.12099	−	0.647203i	0.179336	−	0.983788i	$-0.442605\pi$
$787$	31.4477	−	18.1563i	1.12099	−	0.647203i	0.941653	+	0.336585i	$0.109272\pi$
$788$	−5.68235	−	9.89275i	−0.202425	−	0.352415i
$789$	−13.4922	+	16.0794i	−0.480336	+	0.572442i
$790$	−30.7702	−	14.3900i	−1.09476	−	0.511972i
$791$	−2.93336	+	5.08072i	−0.104298	+	0.180650i
$792$	−11.9942	−	17.2514i	−0.426195	−	0.613002i
$793$	−1.10240	−	6.25200i	−0.0391473	−	0.222015i
$794$	7.96302	+	17.1263i	0.282597	+	0.607791i
$795$	−12.9735	+	35.6443i	−0.460121	+	1.26417i
$796$	1.77055	+	4.89834i	0.0627555	+	0.173617i
$797$		−	18.8406i		−	0.667370i	−0.942685	−	0.333685i	$-0.891708\pi$
$797$		−	18.8406i		−	0.667370i	0.942685	−	0.333685i	$-0.108292\pi$
$798$	5.05429	+	0.810907i	0.178920	+	0.0287058i
$799$	4.07417			0.144134
$800$	17.2250	+	24.8927i	0.608996	+	0.880089i
$801$	1.34872	+	0.490896i	0.0476548	+	0.0173449i
$802$	33.4099	−	15.5342i	1.17975	−	0.548532i
$803$	−46.7468	+	8.24273i	−1.64966	+	0.290880i
$804$	−0.0120815	+	5.44416i	−0.000426080	+	0.192001i
$805$	−2.15101	−	1.24189i	−0.0758132	−	0.0437708i
$806$	−6.61119	−	3.09178i	−0.232869	−	0.108903i
$807$	−23.7993	−	19.9700i	−0.837776	−	0.702977i
$808$	−11.1588	+	23.7237i	−0.392566	+	0.834597i
$809$	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	$0.533476\pi$
$810$	4.39259	+	50.8574i	0.154340	+	1.78695i
$811$	−1.19449	−	3.28183i	−0.0419442	−	0.115241i	0.916952	−	0.398997i	$-0.130642\pi$
$811$	−1.19449	−	3.28183i	−0.0419442	−	0.115241i	−0.958896	+	0.283756i	$0.908419\pi$
$812$	−0.776417	+	4.34685i	−0.0272469	+	0.152544i
$813$	−25.4162	−	4.48156i	−0.891386	−	0.157175i
$814$	−18.6261	−	69.8235i	−0.652845	−	2.44731i
$815$	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
$820$	54.5436	+	45.9742i	1.90475	+	1.60549i
$821$	18.3454	+	3.23478i	0.640257	+	0.112895i	0.484346	−	0.874876i	$-0.339058\pi$
$821$	18.3454	+	3.23478i	0.640257	+	0.112895i	0.155911	+	0.987771i	$0.450169\pi$
$822$	−5.93799	−	5.95118i	−0.207111	−	0.207571i
$823$	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	$0.0594680\pi$
$824$	−13.6420	+	50.2432i	−0.475243	+	1.75031i
$825$	31.2148	+	54.0656i	1.08676	+	1.88232i
$826$	0.898373	+	0.0796020i	0.0312584	+	0.00276971i
$827$	27.8964	−	33.2456i	0.970053	−	1.15606i	−0.0176693	−	0.999844i	$-0.505625\pi$
$827$	27.8964	−	33.2456i	0.970053	−	1.15606i	0.987722	−	0.156220i	$-0.0499310\pi$
$828$	5.04365	−	0.877795i	0.175279	−	0.0305055i
$829$	−20.2935	−	11.7164i	−0.704822	−	0.406929i	0.104319	−	0.994544i	$-0.466734\pi$
$829$	−20.2935	−	11.7164i	−0.704822	−	0.406929i	−0.809141	+	0.587615i	$0.800067\pi$
$830$	−50.9466	−	35.7575i	−1.76838	−	1.24116i
$831$	1.30656	+	7.40984i	0.0453239	+	0.257045i
$832$	4.77950	−	1.70365i	0.165699	−	0.0590633i
$833$	−6.30027	−	2.29311i	−0.218291	−	0.0794516i
$834$	54.2985	+	14.6138i	1.88020	+	0.506036i
$835$			29.0614i			1.00571i
$836$	27.4761	−	40.4626i	0.950280	−	1.39943i
$837$			28.3561i			0.980131i
$838$	−7.06026	+	26.2328i	−0.243893	+	0.906197i
$839$	−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	$0.913643\pi$
$840$	−0.633542	−	7.53002i	−0.0218593	−	0.259811i
$841$	−0.272062	−	1.54294i	−0.00938146	−	0.0532049i
$842$	−9.38792	+	13.3757i	−0.323529	+	0.460958i
$843$	4.69144	+	2.70860i	0.161582	+	0.0932892i
$844$	3.88570	+	22.3265i	0.133751	+	0.768510i
$845$	−26.0529	+	31.0486i	−0.896246	+	1.06810i
$846$	−0.687001	+	7.75336i	−0.0236196	+	0.266566i
$847$	−4.08837	−	7.08126i	−0.140478	−	0.243315i
$848$	−7.66195	−	21.3453i	−0.263113	−	0.733002i
$849$	17.7772	−	6.47037i	0.610112	−	0.222063i
$850$	−5.25073	+	5.23909i	−0.180099	+	0.179699i
$851$	17.3402	+	3.05754i	0.594413	+	0.104811i
$852$	3.78999	+	3.19454i	0.129843	+	0.109443i
$853$	−22.5059	−	26.8215i	−0.770589	−	0.918352i	0.227879	−	0.973689i	$-0.426821\pi$
$853$	−22.5059	−	26.8215i	−0.770589	−	0.918352i	−0.998468	+	0.0553375i	$0.982377\pi$
$854$	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	$0.0431475\pi$
$858$	10.1109	−	2.69718i	0.345179	−	0.0920801i
$859$	55.6298	+	9.80904i	1.89807	+	0.334680i	0.995412	−	0.0956862i	$-0.0305045\pi$
$859$	55.6298	+	9.80904i	1.89807	+	0.334680i	0.902654	+	0.430366i	$0.141616\pi$
$860$	19.4437	+	3.47296i	0.663026	+	0.118427i
$861$	−3.14856	−	8.65061i	−0.107303	−	0.294812i
$862$	−2.99022	+	0.258267i	−0.101847	+	0.00879662i
$863$	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	$0.832279\pi$
$864$	−13.8623	−	14.0170i	−0.471604	−	0.476867i
$865$	−41.9148	−	35.1707i	−1.42515	−	1.19584i
$866$	−9.75191	+	20.8526i	−0.331384	+	0.708601i
$867$	−28.8845	−	16.6765i	−0.980969	−	0.566363i
$868$	0.0144213	−	6.49856i	0.000489492	−	0.220576i
$869$	41.2485	−	7.27323i	1.39926	−	0.246727i
$870$	22.0545	+	47.4333i	0.747717	+	1.60814i
$871$	−0.780199	−	0.283969i	−0.0264360	−	0.00962193i
$872$	−38.9779	−	27.4864i	−1.31996	−	0.930807i
$873$	−4.50663			−0.152526
$874$	6.11724	+	10.2272i	0.206919	+	0.345939i
$875$			0.451279i			0.0152560i
$876$	33.0922	−	11.9615i	1.11808	−	0.404141i
$877$	2.00749	−	5.51553i	0.0677880	−	0.186246i	−0.901173	−	0.433460i	$-0.857293\pi$
$877$	2.00749	−	5.51553i	0.0677880	−	0.186246i	0.968961	+	0.247214i	$0.0795149\pi$
$878$	39.1119	−	18.1854i	1.31996	−	0.613726i
$879$	−3.23259	−	18.3330i	−0.109033	−	0.618355i
$880$	−67.7367	−	24.9952i	−2.28340	−	0.842586i
$881$	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	$0.0359421\pi$
$882$	5.42629	−	11.6031i	0.182713	−	0.390696i
$883$	−5.10668	+	6.08591i	−0.171853	+	0.204807i	−0.845096	−	0.534615i	$-0.820457\pi$
$883$	−5.10668	+	6.08591i	−0.171853	+	0.204807i	0.673242	+	0.739422i	$0.264901\pi$
$884$	0.619263	+	1.07811i	0.0208281	+	0.0362609i
$885$	9.25284	−	5.34213i	0.311031	−	0.179574i
$886$	−4.77944	−	55.3364i	−0.160568	−	1.85906i
$887$	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	$0.383418\pi$
$888$	22.4777	+	48.6256i	0.754303	+	1.63177i
$889$	−0.464968	+	2.63697i	−0.0155945	+	0.0884410i
$890$	4.76544	−	1.27123i	0.159738	−	0.0426118i
$891$	−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
$896$	3.16978	+	3.21941i	0.105895	+	0.107553i
$897$	−0.442750	+	2.51096i	−0.0147830	+	0.0838386i
$898$	−22.7567	+	22.7062i	−0.759400	+	0.757716i
$899$	15.3860	+	42.2727i	0.513152	+	1.40987i
$900$	−9.08488	−	10.8759i	−0.302829	−	0.362529i
$901$	4.81255	−	2.77852i	0.160329	−	0.0925661i
$902$	−87.6151	−	7.76330i	−2.91726	−	0.258490i
$903$	−1.95260	−	1.63843i	−0.0649786	−	0.0545235i
$904$	−29.2843	−	29.4799i	−0.973982	−	0.980488i
$905$	14.5064	−	25.1258i	0.482209	−	0.835211i
$906$	8.99753	−	12.8195i	0.298923	−	0.425900i
$907$	30.5628	−	5.38904i	1.01482	−	0.178940i	0.358585	−	0.933497i	$-0.383259\pi$
$907$	30.5628	−	5.38904i	1.01482	−	0.178940i	0.656235	+	0.754557i	$0.272148\pi$
$908$	−9.29437	+	16.0161i	−0.308445	+	0.531514i
$909$	4.19767	−	11.5330i	0.139228	−	0.382526i
$910$	1.11283	+	0.299506i	0.0368900	+	0.00992854i
$911$	−2.11813			−0.0701767			−0.0350884	−	0.999384i	$-0.511171\pi$
$911$	−2.11813			−0.0701767			−0.0350884	+	0.999384i	$0.511171\pi$
$912$	−14.9232	+	33.0427i	−0.494157	+	1.09415i
$913$	76.7477			2.53998
$914$	34.5096	+	9.28787i	1.14148	+	0.307216i
$915$	22.9033	−	62.9263i	0.757160	−	2.08028i
$916$	−24.1219	+	41.5671i	−0.797011	+	1.37342i
$917$	−1.49992	+	0.264476i	−0.0495316	+	0.00873376i
$918$	2.77508	−	3.95388i	0.0915912	−	0.130497i
$919$	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	$-0.0333671\pi$
$920$	12.4808	−	12.3980i	0.411481	−	0.408750i
$921$	27.2943	+	22.9027i	0.899379	+	0.754669i
$922$	−37.5599	−	3.32807i	−1.23697	−	0.109604i
$923$	−0.654656	+	0.377966i	−0.0215483	+	0.0124409i
$924$	5.97340	+	7.15099i	0.196510	+	0.235250i
$925$	−16.6699	−	45.8001i	−0.548102	−	1.50590i
$926$	−24.7546	+	24.6997i	−0.813485	+	0.811682i
$927$	4.23221	−	24.0021i	0.139004	−	0.788331i
$928$	−28.2712	−	13.3745i	−0.928046	−	0.439040i
$929$	−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
$934$	−26.3644	+	7.03298i	−0.862670	+	0.230126i
$935$	3.07212	−	17.4229i	0.100469	−	0.569789i
$936$	−2.15613	+	0.996696i	−0.0704753	+	0.0325780i
$937$	−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	$0.968508\pi$
$938$	−0.0636153	−	0.736538i	−0.00207711	−	0.0240488i
$939$	−0.592715	+	0.342204i	−0.0193425	+	0.0111674i
$940$	13.3223	+	23.1935i	0.434524	+	0.756490i
$941$	26.6233	−	31.7285i	0.867896	−	1.03432i	−0.131181	−	0.991358i	$-0.541877\pi$
$941$	26.6233	−	31.7285i	0.867896	−	1.03432i	0.999077	−	0.0429597i	$-0.0136787\pi$
$942$	−1.61308	+	3.44926i	−0.0525570	+	0.112383i
$943$	10.7157	−	18.5601i	0.348951	−	0.604401i
$944$	−2.21142	+	5.99294i	−0.0719757	+	0.195054i
$945$	−0.777505	−	4.40945i	−0.0252923	−	0.143440i
$946$	−22.0839	+	10.2681i	−0.718011	+	0.333845i
$947$	1.40777	−	3.86782i	0.0457464	−	0.125687i	−0.914716	−	0.404098i	$-0.867585\pi$
$947$	1.40777	−	3.86782i	0.0457464	−	0.125687i	0.960462	+	0.278411i	$0.0898077\pi$
$948$	−29.1999	+	10.5546i	−0.948369	+	0.342797i
$949$			5.36633i			0.174198i
$950$	16.0503	−	28.8192i	0.520742	−	0.935019i
$951$	−27.8468			−0.902996
$952$	−0.637994	+	0.904725i	−0.0206775	+	0.0293223i
$953$	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	$0.584137\pi$
$954$	4.47618	+	9.62706i	0.144922	+	0.311688i
$955$	34.8305	−	6.14156i	1.12709	−	0.198736i
$956$	0.0490176	−	22.0884i	0.00158534	−	0.714390i
$957$	−55.8587	−	32.2500i	−1.80566	−	1.04250i
$958$	4.79828	−	10.2602i	0.155026	−	0.331493i
$959$	0.874515	+	0.733806i	0.0282396	+	0.0236958i
$960$	52.6460	+	9.64473i	1.69914	+	0.311282i
$961$	−17.6031	−	30.4894i	−0.567841	−	0.983530i
$962$	−8.13938	+	0.703004i	−0.262424	+	0.0226658i
$963$	3.19077	+	8.76657i	0.102821	+	0.282499i
$964$	−38.5816	−	6.89129i	−1.24263	−	0.221954i
$965$	−11.3732	−	2.00540i	−0.366116	−	0.0645561i
$966$	−2.19357	+	0.585156i	−0.0705768	+	0.0188271i
$967$	−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	0.659074	−	0.752078i	$-0.270948\pi$
$971$	−6.10832	−	7.27961i	−0.196025	−	0.233614i	−0.855099	+	0.518464i	$0.826504\pi$
$972$	19.6882	+	16.5949i	0.631498	+	0.532282i
$973$	−7.51972	−	1.32593i	−0.241071	−	0.0425074i
$974$	16.7234	−	16.6863i	0.535853	−	0.534665i
$975$	6.63213	−	2.41390i	0.212398	−	0.0773066i
$976$	13.5264	+	37.6830i	0.432969	+	1.20620i
$977$	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	$0.752634\pi$
$978$	3.29228	−	37.1560i	0.105275	−	1.18812i
$979$	−3.90908	+	4.65867i	−0.124935	+	0.148892i
$980$	−7.54718	−	43.3647i	−0.241086	−	1.38523i
$981$	19.3363	+	11.1638i	0.617360	+	0.356433i
$982$	9.25133	−	13.1811i	0.295222	−	0.420626i
$983$	−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	$-0.278955\pi$
$984$	64.9733	−	5.46655i	2.07127	−	0.174267i
$985$	17.2458	+	6.27696i	0.549497	+	0.200001i
$986$	1.99165	−	7.40010i	0.0634272	−	0.235667i
$987$		−	3.45177i		−	0.109871i
$988$	−3.96548	−	3.85335i	−0.126159	−	0.122592i
$989$		−	5.93403i		−	0.188691i
$990$	32.6386	+	8.78433i	1.03732	+	0.279184i
$991$	−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	$0.655076\pi$
$992$	44.3931	+	12.1595i	1.40948	+	0.386063i
$993$	−9.06533	−	51.4121i	−0.287680	−	1.63151i
$994$	−0.550933	−	0.386679i	−0.0174745	−	0.0122647i
$995$	−7.25622	−	4.18938i	−0.230038	−	0.132812i
$996$	−56.0499	+	9.75490i	−1.77601	+	0.309096i
$997$	−33.7252	+	40.1922i	−1.06809	+	1.27290i	−0.107716	+	0.994182i	$0.534354\pi$
$997$	−33.7252	+	40.1922i	−1.06809	+	1.27290i	−0.960373	+	0.278717i	$0.910091\pi$
$998$	27.5281	+	2.43918i	0.871388	+	0.0772109i
$999$	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.101.17	yes	108
4.3	odd	2		608.2.bf.a.177.15		108
8.3	odd	2		608.2.bf.a.177.4		108
8.5	even	2	inner	152.2.t.a.101.9	✓	108
19.16	even	9	inner	152.2.t.a.149.9	yes	108
76.35	odd	18		608.2.bf.a.529.4		108
152.35	odd	18		608.2.bf.a.529.15		108
152.149	even	18	inner	152.2.t.a.149.17	yes	108

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

\(f(q)\)	\(=\)	\(q+(1.36562 + 0.367541i) q^{2} +(-0.711212 + 1.95404i) q^{3} +(1.72983 + 1.00384i) q^{4} +(-3.16846 + 0.558684i) q^{5} +(-1.68943 + 2.40707i) q^{6} +(0.199668 - 0.345836i) q^{7} +(1.99333 + 2.00665i) q^{8} +(-1.01431 - 0.851110i) q^{9} +O(q^{10})\)	\(q+(1.36562 + 0.367541i) q^{2} +(-0.711212 + 1.95404i) q^{3} +(1.72983 + 1.00384i) q^{4} +(-3.16846 + 0.558684i) q^{5} +(-1.68943 + 2.40707i) q^{6} +(0.199668 - 0.345836i) q^{7} +(1.99333 + 2.00665i) q^{8} +(-1.01431 - 0.851110i) q^{9} +(-4.53224 - 0.401588i) q^{10} +(4.85869 - 2.80516i) q^{11} +(-3.19182 + 2.66621i) q^{12} +(-0.216928 - 0.596006i) q^{13} +(0.399780 - 0.398893i) q^{14} +(1.16175 - 6.58863i) q^{15} +(1.98461 + 3.47294i) 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} +(7.66612 - 2.04502i) q^{22} +(-0.335696 + 1.90383i) q^{23} +(-5.33875 + 2.46790i) q^{24} +(5.02853 - 1.83023i) q^{25} +(-0.0771849 - 0.893647i) q^{26} +(-3.01806 + 1.74248i) q^{27} +(0.692556 - 0.397801i) q^{28} +(-3.55379 + 4.23525i) q^{29} +(4.00810 - 8.57056i) q^{30} +(4.06836 - 7.04660i) q^{31} +(1.43377 + 5.47214i) q^{32} +(2.02584 + 11.4891i) q^{33} +(-1.25689 + 0.584403i) q^{34} +(-0.439428 + 1.20732i) q^{35} +(-0.900208 - 2.49048i) q^{36} -9.10805i q^{37} +(4.66044 - 4.03489i) q^{38} +1.31890 q^{39} +(-7.43687 - 5.24433i) q^{40} +(-10.4174 - 3.79163i) q^{41} +(0.495125 + 1.06488i) q^{42} +(-3.02291 + 0.533020i) q^{43} +(11.2206 + 0.0249003i) q^{44} +(3.68931 + 2.13002i) q^{45} +(-1.15817 + 2.47652i) q^{46} +(-3.18426 - 2.67191i) q^{47} +(-8.19774 + 1.40800i) q^{48} +(3.42027 + 5.92407i) q^{49} +(7.53973 - 0.651212i) q^{50} +(-0.697080 - 1.91521i) q^{51} +(0.223047 - 1.24875i) q^{52} +(-5.58357 - 0.984534i) q^{53} +(-4.76195 + 1.27030i) 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} +(8.62357 - 10.2310i) q^{60} +(9.85721 + 1.73809i) q^{61} +(8.14574 - 8.12768i) q^{62} +(-0.496871 + 0.180846i) q^{63} +(-0.0532593 + 7.99982i) q^{64} +(1.02031 + 1.76722i) q^{65} +(-1.45620 + 16.4344i) q^{66} +(0.841438 - 1.00279i) q^{67} +(-1.93123 + 0.336111i) q^{68} +(-3.48140 - 2.00999i) q^{69} +(-1.04383 + 1.48723i) q^{70} +(-0.206961 - 1.17373i) q^{71} +(-0.313986 - 3.73191i) q^{72} +(-7.95057 - 2.89377i) q^{73} +(3.34758 - 12.4381i) q^{74} +11.1276i q^{75} +(7.84737 - 3.79721i) q^{76} -2.24041i q^{77} +(1.80112 + 0.484750i) q^{78} +(7.01543 + 2.55341i) q^{79} +(-8.22842 - 9.89510i) q^{80} +(-1.94817 - 11.0486i) q^{81} +(-12.8326 - 9.00674i) q^{82} +(11.8470 + 6.83985i) q^{83} +(0.284764 + 1.63620i) q^{84} +(2.02697 - 2.41565i) q^{85} +(-4.32404 - 0.383140i) q^{86} +(-5.74833 - 9.95641i) q^{87} +(15.3139 + 4.15804i) q^{88} +(-1.01860 + 0.370741i) q^{89} +(4.25532 + 4.26477i) q^{90} +(-0.249434 - 0.0439819i) q^{91} +(-2.49184 + 2.95631i) 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} +(2.49344 + 9.34711i) 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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