LMFDB - Embedded newform 354.2.e.d.49.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [354,2,Mod(7,354)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(354, base_ring=CyclotomicField(58))

chi = DirichletCharacter(H, H._module([0, 18]))

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

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

chi := DirichletCharacter("354.7");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 354 = 2 \cdot 3 \cdot 59 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	354.e (of order $29$, degree $28$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

gp: f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$2.82670423155$
Analytic rank:	$0$
Dimension:	$84$
Relative dimension:	$3$ over $\Q(\zeta_{29})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{29}]$

Embedding invariants

Embedding label			49.1
Character	$\chi$	$=$	354.49
Dual form			354.2.e.d.289.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.370138 - 0.928977i) q^{2} +(-0.994138 - 0.108119i) q^{3} +(-0.725995 - 0.687699i) q^{4} +(-1.43265 + 1.68664i) q^{5} +(-0.468408 + 0.883512i) q^{6} +(-0.808791 - 0.486633i) q^{7} +(-0.907575 + 0.419889i) q^{8} +(0.976621 + 0.214970i) q^{9} +O(q^{10})$	\(q+(0.370138 - 0.928977i) q^{2} +(-0.994138 - 0.108119i) q^{3} +(-0.725995 - 0.687699i) q^{4} +(-1.43265 + 1.68664i) q^{5} +(-0.468408 + 0.883512i) q^{6} +(-0.808791 - 0.486633i) q^{7} +(-0.907575 + 0.419889i) q^{8} +(0.976621 + 0.214970i) q^{9} +(1.03657 + 1.95519i) q^{10} +(-0.184028 + 3.39420i) q^{11} +(0.647386 + 0.762162i) q^{12} +(-3.32147 + 0.731110i) q^{13} +(-0.751435 + 0.571226i) q^{14} +(1.60661 - 1.52186i) q^{15} +(0.0541389 + 0.998533i) q^{16} +(-3.01456 + 1.81380i) q^{17} +(0.561187 - 0.827689i) q^{18} +(-0.996252 + 3.58818i) q^{19} +(2.20000 - 0.239264i) q^{20} +(0.751435 + 0.571226i) q^{21} +(3.08502 + 1.42728i) q^{22} +(5.01948 + 7.40318i) q^{23} +(0.947653 - 0.319302i) q^{24} +(0.0166238 + 0.101400i) q^{25} +(-0.550217 + 3.35618i) q^{26} +(-0.947653 - 0.319302i) q^{27} +(0.252521 + 0.909498i) q^{28} +(-1.34438 - 3.37413i) q^{29} +(-0.819105 - 2.05580i) q^{30} +(-2.53959 - 9.14678i) q^{31} +(0.947653 + 0.319302i) q^{32} +(0.549928 - 3.35441i) q^{33} +(0.569175 + 3.47181i) q^{34} +(1.97949 - 0.666968i) q^{35} +(-0.561187 - 0.827689i) q^{36} +(-7.28231 - 3.36916i) q^{37} +(2.96458 + 2.25362i) q^{38} +(3.38104 - 0.367711i) q^{39} +(0.592033 - 2.13231i) q^{40} +(2.88508 - 4.25517i) q^{41} +(0.808791 - 0.486633i) q^{42} +(0.289688 + 5.34298i) q^{43} +(2.46780 - 2.33762i) q^{44} +(-1.76173 + 1.33923i) q^{45} +(8.73528 - 1.92278i) q^{46} +(2.46166 + 2.89809i) q^{47} +(0.0541389 - 0.998533i) q^{48} +(-2.86153 - 5.39742i) q^{49} +(0.100352 + 0.0220891i) q^{50} +(3.19299 - 1.47724i) q^{51} +(2.91415 + 1.75339i) q^{52} +(-3.14108 + 5.92470i) q^{53} +(-0.647386 + 0.762162i) q^{54} +(-5.46116 - 5.17309i) q^{55} +(0.938371 + 0.102054i) q^{56} +(1.37836 - 3.45943i) q^{57} -3.63210 q^{58} +(-7.53793 + 1.47633i) q^{59} -2.21297 q^{60} +(2.35370 - 5.90735i) q^{61} +(-9.43715 - 1.02635i) q^{62} +(-0.685270 - 0.649122i) q^{63} +(0.647386 - 0.762162i) q^{64} +(3.52537 - 6.64956i) q^{65} +(-2.91262 - 1.75247i) q^{66} +(4.14407 - 1.91725i) q^{67} +(3.43591 + 0.756300i) q^{68} +(-4.18963 - 7.90248i) q^{69} +(0.113087 - 2.08577i) q^{70} +(4.57987 + 5.39184i) q^{71} +(-0.976621 + 0.214970i) q^{72} +(-8.42306 + 6.40304i) q^{73} +(-5.82533 + 5.51804i) q^{74} +(-0.00556299 - 0.102603i) q^{75} +(3.19086 - 1.91988i) q^{76} +(1.80057 - 2.65565i) q^{77} +(0.909859 - 3.27702i) q^{78} +(-1.29819 + 0.141186i) q^{79} +(-1.76173 - 1.33923i) q^{80} +(0.907575 + 0.419889i) q^{81} +(-2.88508 - 4.25517i) q^{82} +(-5.13428 + 1.72994i) q^{83} +(-0.152707 - 0.931469i) q^{84} +(1.25957 - 7.68302i) q^{85} +(5.07073 + 1.70853i) q^{86} +(0.971689 + 3.49971i) q^{87} +(-1.25817 - 3.15777i) q^{88} +(0.152089 + 0.381715i) q^{89} +(0.592033 + 2.13231i) q^{90} +(3.04216 + 1.02502i) q^{91} +(1.44704 - 8.82657i) q^{92} +(1.53576 + 9.36774i) q^{93} +(3.60342 - 1.21413i) q^{94} +(-4.62470 - 6.82092i) q^{95} +(-0.907575 - 0.419889i) q^{96} +(2.14560 + 1.63104i) q^{97} +(-6.07323 + 0.660504i) q^{98} +(-0.909380 + 3.27529i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 84 q + 3 q^{2} - 3 q^{3} - 3 q^{4} - 2 q^{5} + 3 q^{6} - 7 q^{7} + 3 q^{8} - 3 q^{9}+O(q^{10}) $ 84 * q + 3 * q^2 - 3 * q^3 - 3 * q^4 - 2 * q^5 + 3 * q^6 - 7 * q^7 + 3 * q^8 - 3 * q^9	\( 84 q + 3 q^{2} - 3 q^{3} - 3 q^{4} - 2 q^{5} + 3 q^{6} - 7 q^{7} + 3 q^{8} - 3 q^{9} + 2 q^{10} + 30 q^{11} - 3 q^{12} - 3 q^{13} + 7 q^{14} - 2 q^{15} - 3 q^{16} + 3 q^{17} + 3 q^{18} - 4 q^{19} - 2 q^{20} - 7 q^{21} - q^{22} + 2 q^{23} + 3 q^{24} - 67 q^{25} + 32 q^{26} - 3 q^{27} - 7 q^{28} + 4 q^{29} + 2 q^{30} - 6 q^{31} + 3 q^{32} + q^{33} + 26 q^{34} + 79 q^{35} - 3 q^{36} + 55 q^{37} + 4 q^{38} - 3 q^{39} + 2 q^{40} + q^{41} + 7 q^{42} + 51 q^{43} + q^{44} - 2 q^{45} - 31 q^{46} - 62 q^{47} - 3 q^{48} - 70 q^{49} + 9 q^{50} + 3 q^{51} - 32 q^{52} - 27 q^{53} + 3 q^{54} - 83 q^{55} + 7 q^{56} - 4 q^{57} - 120 q^{58} - 55 q^{59} + 56 q^{60} - 46 q^{61} - 23 q^{62} - 7 q^{63} - 3 q^{64} - 121 q^{65} - q^{66} + 8 q^{67} - 26 q^{68} - 27 q^{69} - 50 q^{70} - 61 q^{71} + 3 q^{72} + 49 q^{73} - 26 q^{74} - 9 q^{75} + 25 q^{76} + 77 q^{77} + 3 q^{78} - 5 q^{79} - 2 q^{80} - 3 q^{81} - q^{82} + 75 q^{83} - 7 q^{84} + 189 q^{85} + 65 q^{86} - 25 q^{87} - 30 q^{88} + 54 q^{89} + 2 q^{90} - 161 q^{91} + 2 q^{92} + 23 q^{93} + 33 q^{94} - 54 q^{95} + 3 q^{96} + 28 q^{97} + 12 q^{98} + q^{99}+O(q^{100}) \) 84 * q + 3 * q^2 - 3 * q^3 - 3 * q^4 - 2 * q^5 + 3 * q^6 - 7 * q^7 + 3 * q^8 - 3 * q^9 + 2 * q^10 + 30 * q^11 - 3 * q^12 - 3 * q^13 + 7 * q^14 - 2 * q^15 - 3 * q^16 + 3 * q^17 + 3 * q^18 - 4 * q^19 - 2 * q^20 - 7 * q^21 - q^22 + 2 * q^23 + 3 * q^24 - 67 * q^25 + 32 * q^26 - 3 * q^27 - 7 * q^28 + 4 * q^29 + 2 * q^30 - 6 * q^31 + 3 * q^32 + q^33 + 26 * q^34 + 79 * q^35 - 3 * q^36 + 55 * q^37 + 4 * q^38 - 3 * q^39 + 2 * q^40 + q^41 + 7 * q^42 + 51 * q^43 + q^44 - 2 * q^45 - 31 * q^46 - 62 * q^47 - 3 * q^48 - 70 * q^49 + 9 * q^50 + 3 * q^51 - 32 * q^52 - 27 * q^53 + 3 * q^54 - 83 * q^55 + 7 * q^56 - 4 * q^57 - 120 * q^58 - 55 * q^59 + 56 * q^60 - 46 * q^61 - 23 * q^62 - 7 * q^63 - 3 * q^64 - 121 * q^65 - q^66 + 8 * q^67 - 26 * q^68 - 27 * q^69 - 50 * q^70 - 61 * q^71 + 3 * q^72 + 49 * q^73 - 26 * q^74 - 9 * q^75 + 25 * q^76 + 77 * q^77 + 3 * q^78 - 5 * q^79 - 2 * q^80 - 3 * q^81 - q^82 + 75 * q^83 - 7 * q^84 + 189 * q^85 + 65 * q^86 - 25 * q^87 - 30 * q^88 + 54 * q^89 + 2 * q^90 - 161 * q^91 + 2 * q^92 + 23 * q^93 + 33 * q^94 - 54 * q^95 + 3 * q^96 + 28 * q^97 + 12 * q^98 + q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/354\mathbb{Z}\right)^\times$.

$n$	$61$	$119$
$\chi(n)$	$e\left(\frac{18}{29}\right)$	$1$

Coefficient data

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

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

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

$2$	0.370138	−	0.928977i	0.261727	−	0.656886i
$2$	0.370138	−	0.928977i	0.261727	−	0.656886i
$3$	−0.994138	−	0.108119i	−0.573966	−	0.0624225i
$3$	−0.994138	−	0.108119i	−0.573966	−	0.0624225i
$4$	−0.725995	−	0.687699i	−0.362998	−	0.343850i
$5$	−1.43265	+	1.68664i	−0.640700	+	0.754290i	−0.982658	−	0.185425i	$-0.940634\pi$
$5$	−1.43265	+	1.68664i	−0.640700	+	0.754290i	0.341959	+	0.939715i	$0.388910\pi$
$6$	−0.468408	+	0.883512i	−0.191227	+	0.360692i
$7$	−0.808791	−	0.486633i	−0.305694	−	0.183930i	0.354438	−	0.935079i	$-0.384672\pi$
$7$	−0.808791	−	0.486633i	−0.305694	−	0.183930i	−0.660132	+	0.751149i	$0.729500\pi$
$8$	−0.907575	+	0.419889i	−0.320876	+	0.148453i
$9$	0.976621	+	0.214970i	0.325540	+	0.0716568i
$10$	1.03657	+	1.95519i	0.327794	+	0.618285i
$11$	−0.184028	+	3.39420i	−0.0554867	+	1.02339i	0.829716	+	0.558186i	$0.188502\pi$
$11$	−0.184028	+	3.39420i	−0.0554867	+	1.02339i	−0.885203	+	0.465205i	$0.845980\pi$
$12$	0.647386	+	0.762162i	0.186884	+	0.220017i
$13$	−3.32147	+	0.731110i	−0.921209	+	0.202774i	−0.650165	−	0.759793i	$-0.725300\pi$
$13$	−3.32147	+	0.731110i	−0.921209	+	0.202774i	−0.271045	+	0.962567i	$0.587369\pi$
$14$	−0.751435	+	0.571226i	−0.200830	+	0.152667i
$15$	1.60661	−	1.52186i	0.414824	−	0.392943i
$16$	0.0541389	+	0.998533i	0.0135347	+	0.249633i
$17$	−3.01456	+	1.81380i	−0.731138	+	0.439911i	−0.831847	−	0.555005i	$-0.812716\pi$
$17$	−3.01456	+	1.81380i	−0.731138	+	0.439911i	0.100709	+	0.994916i	$0.467889\pi$
$18$	0.561187	−	0.827689i	0.132273	−	0.195088i
$19$	−0.996252	+	3.58818i	−0.228556	+	0.823184i	0.756940	+	0.653485i	$0.226694\pi$
$19$	−0.996252	+	3.58818i	−0.228556	+	0.823184i	−0.985496	+	0.169700i	$0.945720\pi$
$20$	2.20000	−	0.239264i	0.491935	−	0.0535011i
$21$	0.751435	+	0.571226i	0.163977	+	0.124652i
$22$	3.08502	+	1.42728i	0.657729	+	0.304298i
$23$	5.01948	+	7.40318i	1.04663	+	1.54367i	0.822215	+	0.569177i	$0.192738\pi$
$23$	5.01948	+	7.40318i	1.04663	+	1.54367i	0.224419	+	0.974493i	$0.427952\pi$
$24$	0.947653	−	0.319302i	0.193439	−	0.0651772i
$25$	0.0166238	+	0.101400i	0.00332475	+	0.0202801i
$26$	−0.550217	+	3.35618i	−0.107907	+	0.658201i
$27$	−0.947653	−	0.319302i	−0.182376	−	0.0614496i
$28$	0.252521	+	0.909498i	0.0477220	+	0.171879i
$29$	−1.34438	−	3.37413i	−0.249645	−	0.626561i	0.749736	−	0.661737i	$-0.230180\pi$
$29$	−1.34438	−	3.37413i	−0.249645	−	0.626561i	−0.999381	+	0.0351756i	$0.988801\pi$
$30$	−0.819105	−	2.05580i	−0.149548	−	0.375336i
$31$	−2.53959	−	9.14678i	−0.456124	−	1.64281i	−0.731770	−	0.681552i	$-0.761306\pi$
$31$	−2.53959	−	9.14678i	−0.456124	−	1.64281i	0.275646	−	0.961259i	$-0.411108\pi$
$32$	0.947653	+	0.319302i	0.167523	+	0.0564451i
$33$	0.549928	−	3.35441i	0.0957301	−	0.583928i
$34$	0.569175	+	3.47181i	0.0976126	+	0.595411i
$35$	1.97949	−	0.666968i	0.334595	−	0.112738i
$36$	−0.561187	−	0.827689i	−0.0935312	−	0.137948i
$37$	−7.28231	−	3.36916i	−1.19720	−	0.553886i	−0.282992	−	0.959122i	$-0.591327\pi$
$37$	−7.28231	−	3.36916i	−1.19720	−	0.553886i	−0.914212	+	0.405236i	$0.867189\pi$
$38$	2.96458	+	2.25362i	0.480919	+	0.365585i
$39$	3.38104	−	0.367711i	0.541400	−	0.0588808i
$40$	0.592033	−	2.13231i	0.0936086	−	0.337148i
$41$	2.88508	−	4.25517i	0.450574	−	0.664546i	−0.532779	−	0.846254i	$-0.678852\pi$
$41$	2.88508	−	4.25517i	0.450574	−	0.664546i	0.983352	+	0.181708i	$0.0581626\pi$
$42$	0.808791	−	0.486633i	0.124799	−	0.0750891i
$43$	0.289688	+	5.34298i	0.0441770	+	0.814797i	0.933733	+	0.357970i	$0.116531\pi$
$43$	0.289688	+	5.34298i	0.0441770	+	0.814797i	−0.889556	+	0.456826i	$0.848986\pi$
$44$	2.46780	−	2.33762i	0.372034	−	0.352410i
$45$	−1.76173	+	1.33923i	−0.262623	+	0.199641i
$46$	8.73528	−	1.92278i	1.28795	−	0.283499i
$47$	2.46166	+	2.89809i	0.359071	+	0.422731i	0.911803	−	0.410628i	$-0.134691\pi$
$47$	2.46166	+	2.89809i	0.359071	+	0.422731i	−0.552732	+	0.833359i	$0.686415\pi$
$48$	0.0541389	−	0.998533i	0.00781428	−	0.144126i
$49$	−2.86153	−	5.39742i	−0.408790	−	0.771059i
$50$	0.100352	+	0.0220891i	0.0141919	+	0.00312387i
$51$	3.19299	−	1.47724i	0.447109	−	0.206854i
$52$	2.91415	+	1.75339i	0.404121	+	0.243151i
$53$	−3.14108	+	5.92470i	−0.431460	+	0.813820i	−0.999961	−	0.00886252i	$-0.997179\pi$
$53$	−3.14108	+	5.92470i	−0.431460	+	0.813820i	0.568500	+	0.822683i	$0.307524\pi$
$54$	−0.647386	+	0.762162i	−0.0880981	+	0.103717i
$55$	−5.46116	−	5.17309i	−0.736383	−	0.697539i
$56$	0.938371	+	0.102054i	0.125395	+	0.0136375i
$57$	1.37836	−	3.45943i	0.182569	−	0.458213i
$58$	−3.63210			−0.476918
$59$	−7.53793	+	1.47633i	−0.981355	+	0.192201i
$59$	−7.53793	+	1.47633i	−0.981355	+	0.192201i
$60$	−2.21297			−0.285693
$61$	2.35370	−	5.90735i	0.301361	−	0.756358i	−0.697835	−	0.716259i	$-0.745853\pi$
$61$	2.35370	−	5.90735i	0.301361	−	0.756358i	0.999196	−	0.0400998i	$-0.0127676\pi$
$62$	−9.43715	−	1.02635i	−1.19852	−	0.130347i
$63$	−0.685270	−	0.649122i	−0.0863359	−	0.0817817i
$64$	0.647386	−	0.762162i	0.0809233	−	0.0952703i
$65$	3.52537	−	6.64956i	0.437268	−	0.824776i
$66$	−2.91262	−	1.75247i	−0.358519	−	0.215714i
$67$	4.14407	−	1.91725i	0.506279	−	0.234230i	−0.150086	−	0.988673i	$-0.547955\pi$
$67$	4.14407	−	1.91725i	0.506279	−	0.234230i	0.656365	+	0.754443i	$0.272093\pi$
$68$	3.43591	+	0.756300i	0.416665	+	0.0917148i
$69$	−4.18963	−	7.90248i	−0.504372	−	0.951347i
$70$	0.113087	−	2.08577i	0.0135165	−	0.249297i
$71$	4.57987	+	5.39184i	0.543530	+	0.639893i	0.963520	−	0.267635i	$-0.0862423\pi$
$71$	4.57987	+	5.39184i	0.543530	+	0.639893i	−0.419990	+	0.907529i	$0.637966\pi$
$72$	−0.976621	+	0.214970i	−0.115096	+	0.0253345i
$73$	−8.42306	+	6.40304i	−0.985845	+	0.749420i	−0.968136	−	0.250424i	$-0.919430\pi$
$73$	−8.42306	+	6.40304i	−0.985845	+	0.749420i	−0.0177083	+	0.999843i	$0.505637\pi$
$74$	−5.82533	+	5.51804i	−0.677181	+	0.641460i
$75$	−0.00556299	−	0.102603i	−0.000642359	−	0.0118476i
$76$	3.19086	−	1.91988i	0.366017	−	0.220225i
$77$	1.80057	−	2.65565i	0.205194	−	0.302639i
$78$	0.909859	−	3.27702i	0.103021	−	0.371049i
$79$	−1.29819	+	0.141186i	−0.146057	+	0.0158847i	−0.180856	−	0.983510i	$-0.557887\pi$
$79$	−1.29819	+	0.141186i	−0.146057	+	0.0158847i	0.0347982	+	0.999394i	$0.488921\pi$
$80$	−1.76173	−	1.33923i	−0.196968	−	0.149731i
$81$	0.907575	+	0.419889i	0.100842	+	0.0466543i
$82$	−2.88508	−	4.25517i	−0.318604	−	0.469905i
$83$	−5.13428	+	1.72994i	−0.563560	+	0.189886i	−0.586640	−	0.809848i	$-0.699550\pi$
$83$	−5.13428	+	1.72994i	−0.563560	+	0.189886i	0.0230794	+	0.999734i	$0.492653\pi$
$84$	−0.152707	−	0.931469i	−0.0166617	−	0.101632i
$85$	1.25957	−	7.68302i	0.136619	−	0.833341i
$86$	5.07073	+	1.70853i	0.546791	+	0.184235i
$87$	0.971689	+	3.49971i	0.104176	+	0.375208i
$88$	−1.25817	−	3.15777i	−0.134121	−	0.336619i
$89$	0.152089	+	0.381715i	0.0161214	+	0.0404618i	0.936817	−	0.349819i	$-0.113757\pi$
$89$	0.152089	+	0.381715i	0.0161214	+	0.0404618i	−0.920696	+	0.390281i	$0.872378\pi$
$90$	0.592033	+	2.13231i	0.0624057	+	0.224765i
$91$	3.04216	+	1.02502i	0.318904	+	0.107451i
$92$	1.44704	−	8.82657i	0.150865	−	0.920234i
$93$	1.53576	+	9.36774i	0.159251	+	0.971390i
$94$	3.60342	−	1.21413i	0.371664	−	0.125228i
$95$	−4.62470	−	6.82092i	−0.474484	−	0.699811i
$96$	−0.907575	−	0.419889i	−0.0926290	−	0.0428548i
$97$	2.14560	+	1.63104i	0.217853	+	0.165607i	0.708409	−	0.705802i	$-0.249413\pi$
$97$	2.14560	+	1.63104i	0.217853	+	0.165607i	−0.490556	+	0.871410i	$0.663206\pi$
$98$	−6.07323	+	0.660504i	−0.613489	+	0.0667210i
$99$	−0.909380	+	3.27529i	−0.0913961	+	0.329179i
$100$	0.0576643	−	0.0850484i	0.00576643	−	0.00850484i
$101$	4.13955	−	2.49068i	0.411901	−	0.247832i	−0.294490	−	0.955655i	$-0.595150\pi$
$101$	4.13955	−	2.49068i	0.411901	−	0.247832i	0.706391	+	0.707822i	$0.250322\pi$
$102$	−0.190469	−	3.51300i	−0.0188593	−	0.347839i
$103$	12.2430	−	11.5972i	1.20634	−	1.14271i	0.220438	−	0.975401i	$-0.429251\pi$
$103$	12.2430	−	11.5972i	1.20634	−	1.14271i	0.985905	−	0.167307i	$-0.0535072\pi$
$104$	2.70750	−	2.05819i	0.265492	−	0.201822i
$105$	−2.04000	+	0.449037i	−0.199083	+	0.0438216i
$106$	4.34128	+	5.11095i	0.421662	+	0.496419i
$107$	−0.940965	+	17.3551i	−0.0909665	+	1.67778i	0.496120	+	0.868254i	$0.334758\pi$
$107$	−0.940965	+	17.3551i	−0.0909665	+	1.67778i	−0.587086	+	0.809524i	$0.699725\pi$
$108$	0.468408	+	0.883512i	0.0450726	+	0.0850160i
$109$	13.4231	+	2.95465i	1.28570	+	0.283004i	0.804682	−	0.593706i	$-0.202336\pi$
$109$	13.4231	+	2.95465i	1.28570	+	0.283004i	0.481018	+	0.876710i	$0.340267\pi$
$110$	−6.82707	+	3.15854i	−0.650935	+	0.301155i
$111$	6.87535	+	4.13676i	0.652579	+	0.392644i
$112$	0.442133	−	0.833950i	0.0417776	−	0.0788009i
$113$	1.34280	−	1.58087i	0.126320	−	0.148715i	−0.695366	−	0.718656i	$-0.744758\pi$
$113$	1.34280	−	1.58087i	0.126320	−	0.148715i	0.821686	+	0.569940i	$0.193034\pi$
$114$	−2.70354	−	2.56093i	−0.253210	−	0.239853i
$115$	−19.6777	−	2.14008i	−1.83495	−	0.199563i
$116$	−1.34438	+	3.37413i	−0.124822	+	0.313280i
$117$	−3.40098			−0.314421
$118$	−1.41860	+	7.54901i	−0.130593	+	0.694943i
$119$	3.32080			0.304417
$120$	−0.819105	+	2.05580i	−0.0747738	+	0.187668i
$121$	−0.551241	−	0.0599510i	−0.0501128	−	0.00545009i
$122$	−4.61659	−	4.37307i	−0.417967	−	0.395919i
$123$	−3.32823	+	3.91830i	−0.300096	+	0.353301i
$124$	−4.44651	+	8.38700i	−0.399308	+	0.753175i
$125$	−9.67585	−	5.82176i	−0.865434	−	0.520714i
$126$	−0.856664	+	0.396335i	−0.0763177	+	0.0353083i
$127$	13.2384	+	2.91398i	1.17471	+	0.258574i	0.759105	−	0.650969i	$-0.225637\pi$
$127$	13.2384	+	2.91398i	1.17471	+	0.258574i	0.415610	+	0.909543i	$0.363568\pi$
$128$	−0.468408	−	0.883512i	−0.0414018	−	0.0780922i
$129$	0.289688	−	5.34298i	0.0255056	−	0.470423i
$130$	−4.87241	−	5.73624i	−0.427338	−	0.503102i
$131$	−3.15277	+	0.693977i	−0.275459	+	0.0606330i	−0.350551	−	0.936544i	$-0.614006\pi$
$131$	−3.15277	+	0.693977i	−0.275459	+	0.0606330i	0.0750927	+	0.997177i	$0.476075\pi$
$132$	−2.70607	+	2.05710i	−0.235533	+	0.179048i
$133$	2.55189	−	2.41727i	0.221277	−	0.209604i
$134$	−0.247203	−	4.55940i	−0.0213551	−	0.393872i
$135$	1.89620	−	1.14091i	0.163199	−	0.0981936i
$136$	1.97434	−	2.91194i	0.169299	−	0.249697i
$137$	0.871052	−	3.13725i	0.0744190	−	0.268033i	−0.916975	−	0.398945i	$-0.869377\pi$
$137$	0.871052	−	3.13725i	0.0744190	−	0.268033i	0.991394	+	0.130911i	$0.0417904\pi$
$138$	−8.89197	+	0.967060i	−0.756934	+	0.0823216i
$139$	4.48449	+	3.40902i	0.380369	+	0.289149i	0.777836	−	0.628467i	$-0.216317\pi$
$139$	4.48449	+	3.40902i	0.380369	+	0.289149i	−0.397467	+	0.917617i	$0.630111\pi$
$140$	−1.89577	−	0.877078i	−0.160222	−	0.0741266i
$141$	−2.13389	−	3.14726i	−0.179706	−	0.265047i
$142$	6.70407	−	2.25887i	0.562593	−	0.189560i
$143$	−1.87029	−	11.4083i	−0.156402	−	0.954009i
$144$	−0.161782	+	0.986827i	−0.0134818	+	0.0822355i
$145$	7.61698	+	2.56646i	0.632556	+	0.213133i
$146$	2.83058	+	10.1948i	0.234261	+	0.843731i
$147$	2.26119	+	5.67516i	0.186500	+	0.468079i
$148$	2.96996	+	7.45403i	0.244129	+	0.612718i
$149$	−2.85696	−	10.2898i	−0.234051	−	0.842977i	−0.983499	−	0.180913i	$-0.942095\pi$
$149$	−2.85696	−	10.2898i	−0.234051	−	0.842977i	0.749448	−	0.662064i	$-0.230319\pi$
$150$	−0.0973752	−	0.0328095i	−0.00795065	−	0.00267889i
$151$	−2.53969	+	15.4914i	−0.206677	+	1.26067i	0.655939	+	0.754814i	$0.272273\pi$
$151$	−2.53969	+	15.4914i	−0.206677	+	1.26067i	−0.862616	+	0.505859i	$0.831175\pi$
$152$	−0.602462	−	3.67486i	−0.0488661	−	0.298070i
$153$	−3.33399	+	1.12335i	−0.269537	+	0.0908177i
$154$	−1.80057	−	2.65565i	−0.145094	−	0.213998i
$155$	19.0657	+	8.82073i	1.53139	+	0.708498i
$156$	−2.70750	−	2.05819i	−0.216773	−	0.164787i
$157$	−6.81426	+	0.741095i	−0.543837	+	0.0591458i	−0.375914	−	0.926654i	$-0.622671\pi$
$157$	−6.81426	+	0.741095i	−0.543837	+	0.0591458i	−0.167922	+	0.985800i	$0.553706\pi$
$158$	−0.349350	+	1.25824i	−0.0277928	+	0.100100i
$159$	3.76324	−	5.55036i	0.298444	−	0.440172i
$160$	−1.89620	+	1.14091i	−0.149908	+	0.0901966i
$161$	−0.457076	−	8.43027i	−0.0360226	−	0.664398i
$162$	0.725995	−	0.687699i	0.0570396	−	0.0540308i
$163$	−3.39186	+	2.57843i	−0.265671	+	0.201958i	−0.729526	−	0.683953i	$-0.760259\pi$
$163$	−3.39186	+	2.57843i	−0.265671	+	0.201958i	0.463855	+	0.885911i	$0.346466\pi$
$164$	−5.02083	+	1.10517i	−0.392061	+	0.0862992i
$165$	4.86984	+	5.73322i	0.379117	+	0.446331i
$166$	−0.293319	+	5.40994i	−0.0227659	+	0.419893i
$167$	8.76333	+	16.5294i	0.678127	+	1.27908i	0.948637	+	0.316365i	$0.102463\pi$
$167$	8.76333	+	16.5294i	0.678127	+	1.27908i	−0.270511	+	0.962717i	$0.587193\pi$
$168$	−0.921836	−	0.202911i	−0.0711212	−	0.0156550i
$169$	−1.30085	+	0.601839i	−0.100066	+	0.0462953i
$170$	−6.67113	−	4.01389i	−0.511653	−	0.307851i
$171$	−1.74431	+	3.29012i	−0.133391	+	0.251602i
$172$	3.46405	−	4.07820i	0.264131	−	0.310960i
$173$	9.65917	+	9.14965i	0.734373	+	0.695635i	0.960443	−	0.278476i	$-0.0898293\pi$
$173$	9.65917	+	9.14965i	0.734373	+	0.695635i	−0.226070	+	0.974111i	$0.572588\pi$
$174$	3.61081	+	0.392699i	0.273734	+	0.0297704i
$175$	0.0358997	−	0.0901014i	0.00271376	−	0.00681103i
$176$	−3.39919			−0.256224
$177$	7.65337	−	0.652679i	0.575262	−	0.0490583i
$178$	0.410899			0.0307982
$179$	−6.85263	+	17.1988i	−0.512189	+	1.28550i	0.414630	+	0.909990i	$0.363911\pi$
$179$	−6.85263	+	17.1988i	−0.512189	+	1.28550i	−0.926819	+	0.375508i	$0.877468\pi$
$180$	2.20000	+	0.239264i	0.163978	+	0.0178337i
$181$	8.83173	+	8.36586i	0.656457	+	0.621829i	0.941631	−	0.336646i	$-0.109293\pi$
$181$	8.83173	+	8.36586i	0.656457	+	0.621829i	−0.285174	+	0.958476i	$0.592051\pi$
$182$	2.07824	−	2.44669i	0.154049	−	0.181361i
$183$	−2.97860	+	5.61824i	−0.220185	+	0.415312i
$184$	−7.66407	−	4.61132i	−0.565003	−	0.339951i
$185$	16.1156	−	7.45585i	1.18484	−	0.548165i
$186$	9.27086	+	2.04067i	0.679772	+	0.149629i
$187$	−5.60164	−	10.5658i	−0.409633	−	0.772649i
$188$	0.205861	−	3.79689i	0.0150140	−	0.276917i
$189$	0.611070	+	0.719408i	0.0444488	+	0.0523292i
$190$	−8.04825	+	1.77155i	−0.583881	+	0.128522i
$191$	11.5993	−	8.81755i	0.839295	−	0.638016i	−0.0946187	−	0.995514i	$-0.530163\pi$
$191$	11.5993	−	8.81755i	0.839295	−	0.638016i	0.933914	+	0.357498i	$0.116370\pi$
$192$	−0.725995	+	0.687699i	−0.0523942	+	0.0496304i
$193$	0.254818	+	4.69984i	0.0183422	+	0.338302i	0.993273	+	0.115794i	$0.0369414\pi$
$193$	0.254818	+	4.69984i	0.0183422	+	0.338302i	−0.974931	+	0.222507i	$0.928576\pi$
$194$	2.30937	−	1.38950i	0.165803	−	0.0997604i
$195$	−4.22365	+	6.22942i	−0.302462	+	0.446098i
$196$	−1.63434	+	5.88637i	−0.116739	+	0.420455i
$197$	4.82417	−	0.524660i	0.343708	−	0.0373805i	0.0653625	−	0.997862i	$-0.479180\pi$
$197$	4.82417	−	0.524660i	0.343708	−	0.0373805i	0.278345	+	0.960481i	$0.410214\pi$
$198$	2.70607	+	2.05710i	0.192312	+	0.146192i
$199$	−9.45138	−	4.37267i	−0.669990	−	0.309971i	0.0552438	−	0.998473i	$-0.482406\pi$
$199$	−9.45138	−	4.37267i	−0.669990	−	0.309971i	−0.725234	+	0.688502i	$0.758268\pi$
$200$	−0.0576643	−	0.0850484i	−0.00407748	−	0.00601383i
$201$	−4.32707	+	1.45796i	−0.305208	+	0.102837i
$202$	−0.781583	−	4.76744i	−0.0549920	−	0.335436i
$203$	−0.554645	+	3.38319i	−0.0389285	+	0.237453i
$204$	−3.33399	−	1.12335i	−0.233426	−	0.0786505i
$205$	3.04366	+	10.9623i	0.212578	+	0.765638i
$206$	−6.24193	−	15.6661i	−0.434896	−	1.09151i
$207$	3.31066	+	8.30914i	0.230107	+	0.577525i
$208$	−0.909859	−	3.27702i	−0.0630874	−	0.227220i
$209$	−11.9957	−	4.04181i	−0.829758	−	0.279578i
$210$	−0.337936	+	2.06132i	−0.0233198	+	0.142244i
$211$	1.93679	+	11.8139i	0.133334	+	0.813302i	0.965812	+	0.259244i	$0.0834733\pi$
$211$	1.93679	+	11.8139i	0.133334	+	0.813302i	−0.832478	+	0.554058i	$0.813078\pi$
$212$	6.35482	−	2.14119i	0.436451	−	0.147057i
$213$	−3.97006	−	5.85540i	−0.272024	−	0.401205i
$214$	15.7742	+	7.29791i	1.07830	+	0.498875i
$215$	−9.42672	−	7.16601i	−0.642897	−	0.488718i
$216$	0.994138	−	0.108119i	0.0676425	−	0.00735657i
$217$	−2.39713	+	8.63368i	−0.162728	+	0.586093i
$218$	7.71320	−	11.3761i	0.522404	−	0.770488i
$219$	9.06597	−	5.45482i	0.612622	−	0.368602i
$220$	0.407250	+	7.51128i	0.0274568	+	0.506410i
$221$	8.68667	−	8.22845i	0.584329	−	0.553506i
$222$	6.38779	−	4.85587i	0.428720	−	0.325905i
$223$	−1.62142	+	0.356901i	−0.108578	+	0.0238998i	−0.268927	−	0.963161i	$-0.586669\pi$
$223$	−1.62142	+	0.356901i	−0.108578	+	0.0238998i	0.160349	+	0.987060i	$0.448738\pi$
$224$	−0.611070	−	0.719408i	−0.0408289	−	0.0480674i
$225$	−0.00556299	+	0.102603i	−0.000370866	+	0.00684023i
$226$	−0.971566	−	1.83257i	−0.0646276	−	0.121901i
$227$	21.0143	+	4.62559i	1.39477	+	0.307011i	0.847877	−	0.530193i	$-0.177881\pi$
$227$	21.0143	+	4.62559i	1.39477	+	0.307011i	0.546890	+	0.837205i	$0.315812\pi$
$228$	−3.37973	+	1.56363i	−0.223828	+	0.103554i
$229$	0.164663	+	0.0990747i	0.0108813	+	0.00654704i	0.520984	−	0.853566i	$-0.325565\pi$
$229$	0.164663	+	0.0990747i	0.0108813	+	0.00654704i	−0.510103	+	0.860113i	$0.670393\pi$
$230$	−9.27154	+	17.4880i	−0.611347	+	1.15312i
$231$	−2.07714	+	2.44540i	−0.136666	+	0.160896i
$232$	2.63689	+	2.49779i	0.173120	+	0.163988i
$233$	−24.4079	−	2.65452i	−1.59901	−	0.173903i	−0.735249	−	0.677797i	$-0.762935\pi$
$233$	−24.4079	−	2.65452i	−1.59901	−	0.173903i	−0.863766	+	0.503894i	$0.831900\pi$
$234$	−1.25883	+	3.15943i	−0.0822925	+	0.206539i
$235$	−8.41475			−0.548918
$236$	6.48778	+	4.11203i	0.422318	+	0.267670i
$237$	1.30584			0.0848235
$238$	1.22916	−	3.08495i	0.0796743	−	0.199967i
$239$	−23.1726	−	2.52017i	−1.49891	−	0.163016i	−0.678419	−	0.734675i	$-0.737335\pi$
$239$	−23.1726	−	2.52017i	−1.49891	−	0.163016i	−0.820491	+	0.571659i	$0.806300\pi$
$240$	1.60661	+	1.52186i	0.103706	+	0.0982356i
$241$	−13.7045	+	16.1342i	−0.882787	+	1.03930i	0.116151	+	0.993232i	$0.462944\pi$
$241$	−13.7045	+	16.1342i	−0.882787	+	1.03930i	−0.998938	+	0.0460658i	$0.985332\pi$
$242$	−0.259728	+	0.489900i	−0.0166960	+	0.0314919i
$243$	−0.856857	−	0.515554i	−0.0549674	−	0.0330728i
$244$	−5.77126	+	2.67007i	−0.369467	+	0.170934i
$245$	13.2031	+	2.90622i	0.843514	+	0.185671i
$246$	2.40810	+	4.54216i	0.153535	+	0.289598i
$247$	0.685667	−	12.6464i	0.0436280	−	0.804670i
$248$	6.14551	+	7.23505i	0.390240	+	0.459426i
$249$	5.29122	−	1.16469i	0.335317	−	0.0738090i
$250$	−8.98968	+	6.83378i	−0.568558	+	0.432206i
$251$	18.7815	−	17.7908i	1.18548	−	1.12294i	0.195649	−	0.980674i	$-0.437319\pi$
$251$	18.7815	−	17.7908i	1.18548	−	1.12294i	0.989828	−	0.142269i	$-0.0454399\pi$
$252$	0.0511019	+	0.942519i	0.00321912	+	0.0593731i
$253$	−26.0516	+	15.6747i	−1.63785	+	0.985463i
$254$	7.60705	−	11.2196i	0.477309	−	0.703978i
$255$	−2.08286	+	7.50180i	−0.130434	+	0.469781i
$256$	−0.994138	+	0.108119i	−0.0621336	+	0.00675744i
$257$	−18.4627	−	14.0350i	−1.15167	−	0.875478i	−0.157960	−	0.987445i	$-0.550492\pi$
$257$	−18.4627	−	14.0350i	−1.15167	−	0.875478i	−0.993712	+	0.111967i	$0.964285\pi$
$258$	−4.85628	−	2.24675i	−0.302339	−	0.139877i
$259$	4.25032	+	6.26876i	0.264102	+	0.389522i
$260$	−7.13230	+	2.40315i	−0.442326	+	0.149037i
$261$	−0.587608	−	3.58425i	−0.0363720	−	0.221860i
$262$	−0.522272	+	3.18572i	−0.0322660	+	0.196814i
$263$	−3.22549	−	1.08680i	−0.198893	−	0.0670147i	0.218092	−	0.975928i	$-0.430017\pi$
$263$	−3.22549	−	1.08680i	−0.198893	−	0.0670147i	−0.416985	+	0.908913i	$0.636913\pi$
$264$	0.909380	+	3.27529i	0.0559684	+	0.201580i
$265$	−5.49280	−	13.7859i	−0.337420	−	0.846861i
$266$	−1.30104	−	3.26537i	−0.0797720	−	0.200213i
$267$	−0.109927	−	0.395922i	−0.00672743	−	0.0242300i
$268$	−4.32707	−	1.45796i	−0.264318	−	0.0890591i
$269$	−2.69426	+	16.4343i	−0.164272	+	1.00202i	0.768051	+	0.640389i	$0.221227\pi$
$269$	−2.69426	+	16.4343i	−0.164272	+	1.00202i	−0.932323	+	0.361627i	$0.882221\pi$
$270$	−0.358019	−	2.18382i	−0.0217883	−	0.132903i
$271$	25.7754	−	8.68473i	1.56574	−	0.527560i	0.602944	−	0.797784i	$-0.293994\pi$
$271$	25.7754	−	8.68473i	1.56574	−	0.527560i	0.962798	+	0.270224i	$0.0870977\pi$
$272$	−1.97434	−	2.91194i	−0.119712	−	0.176562i
$273$	−2.91350	−	1.34793i	−0.176333	−	0.0815803i
$274$	−2.59202	−	1.97040i	−0.156590	−	0.119036i
$275$	−0.347233	+	0.0377639i	−0.0209389	+	0.00227725i
$276$	−2.39288	+	8.61838i	−0.144034	+	0.518765i
$277$	−11.9300	+	17.5955i	−0.716806	+	1.05721i	0.278500	+	0.960436i	$0.410163\pi$
$277$	−11.9300	+	17.5955i	−0.716806	+	1.05721i	−0.995306	+	0.0967737i	$0.969148\pi$
$278$	4.82678	−	2.90418i	0.289491	−	0.174181i
$279$	−0.513930	−	9.47887i	−0.0307682	−	0.567485i
$280$	−1.51648	+	1.43649i	−0.0906272	+	0.0858467i
$281$	6.72373	−	5.11124i	0.401104	−	0.304911i	−0.385104	−	0.922873i	$-0.625834\pi$
$281$	6.72373	−	5.11124i	0.401104	−	0.304911i	0.786208	+	0.617962i	$0.212041\pi$
$282$	−3.71357	+	0.817418i	−0.221140	+	0.0486765i
$283$	−3.74890	−	4.41355i	−0.222849	−	0.262358i	0.639364	−	0.768904i	$-0.279198\pi$
$283$	−3.74890	−	4.41355i	−0.222849	−	0.262358i	−0.862213	+	0.506546i	$0.830922\pi$
$284$	0.383000	−	7.06402i	0.0227269	−	0.419173i
$285$	3.86012	+	7.28095i	0.228654	+	0.431286i
$286$	−11.2903	−	2.48518i	−0.667609	−	0.146952i
$287$	−4.40413	+	2.03757i	−0.259968	+	0.120274i
$288$	0.856857	+	0.515554i	0.0504908	+	0.0303793i
$289$	−2.16525	+	4.08409i	−0.127368	+	0.240241i
$290$	5.20352	−	6.12605i	0.305561	−	0.359734i
$291$	−1.95668	−	1.85346i	−0.114702	−	0.108652i
$292$	10.5185	+	1.14395i	0.615547	+	0.0669448i
$293$	−4.14253	+	10.3970i	−0.242009	+	0.607397i	−0.998937	−	0.0461017i	$-0.985320\pi$
$293$	−4.14253	+	10.3970i	−0.242009	+	0.607397i	0.756928	+	0.653499i	$0.226699\pi$
$294$	6.10905			0.356287
$295$	8.30917	−	14.8289i	0.483778	−	0.863370i
$296$	8.02392			0.466381
$297$	1.25817	−	3.15777i	0.0730064	−	0.183232i
$298$	−10.6165	−	1.15461i	−0.614997	−	0.0668850i
$299$	−22.0846	−	20.9196i	−1.27718	−	1.20981i
$300$	−0.0665216	+	0.0783153i	−0.00384063	+	0.00452153i
$301$	2.36577	−	4.46232i	0.136361	−	0.257204i
$302$	13.4511	+	8.09327i	0.774025	+	0.465716i
$303$	−4.38457	+	2.02852i	−0.251887	+	0.116535i
$304$	−3.63685	−	0.800531i	−0.208588	−	0.0459136i
$305$	6.59156	+	12.4330i	0.377432	+	0.711912i
$306$	−0.190469	+	3.51300i	−0.0108884	+	0.200825i
$307$	−7.88040	−	9.27753i	−0.449758	−	0.529496i	0.489823	−	0.871822i	$-0.337061\pi$
$307$	−7.88040	−	9.27753i	−0.449758	−	0.529496i	−0.939581	+	0.342325i	$0.888785\pi$
$308$	−3.13349	+	0.689734i	−0.178547	+	0.0393013i
$309$	−13.4251	+	10.2055i	−0.763730	+	0.580572i
$310$	15.2512	−	14.4467i	0.866210	−	0.820518i
$311$	−0.557445	−	10.2815i	−0.0316098	−	0.583009i	−0.970841	−	0.239724i	$-0.922943\pi$
$311$	−0.557445	−	10.2815i	−0.0316098	−	0.583009i	0.939231	−	0.343285i	$-0.111540\pi$
$312$	−2.91415	+	1.75339i	−0.164982	+	0.0992661i
$313$	8.12385	−	11.9818i	0.459187	−	0.677251i	−0.525656	−	0.850697i	$-0.676180\pi$
$313$	8.12385	−	11.9818i	0.459187	−	0.677251i	0.984843	+	0.173447i	$0.0554904\pi$
$314$	−1.83376	+	6.60459i	−0.103485	+	0.372719i
$315$	2.07659	−	0.225843i	0.117002	−	0.0127248i
$316$	1.03957	+	0.790261i	0.0584804	+	0.0444557i
$317$	−3.22533	−	1.49220i	−0.181153	−	0.0838102i	0.327216	−	0.944949i	$-0.393889\pi$
$317$	−3.22533	−	1.49220i	−0.181153	−	0.0838102i	−0.508369	+	0.861139i	$0.669751\pi$
$318$	−3.76324	−	5.55036i	−0.211032	−	0.311249i
$319$	11.6999	−	3.94216i	0.655069	−	0.220718i
$320$	0.358019	+	2.18382i	0.0200139	+	0.122079i
$321$	2.81186	−	17.1516i	0.156943	−	0.957309i
$322$	−8.00071	−	2.69575i	−0.445862	−	0.150228i
$323$	−3.50497	−	12.6238i	−0.195022	−	0.702406i
$324$	−0.370138	−	0.928977i	−0.0205632	−	0.0516098i
$325$	−0.129350	−	0.324645i	−0.00717506	−	0.0180080i
$326$	1.13984	+	4.10533i	0.0631299	+	0.227373i
$327$	−13.0250	−	4.38862i	−0.720282	−	0.242691i
$328$	−0.831726	+	5.07330i	−0.0459244	+	0.280126i
$329$	−0.580662	−	3.54188i	−0.0320129	−	0.195270i
$330$	7.12854	−	2.40189i	0.392413	−	0.132219i
$331$	−3.27683	−	4.83296i	−0.180111	−	0.265643i	0.726907	−	0.686736i	$-0.240957\pi$
$331$	−3.27683	−	4.83296i	−0.180111	−	0.265643i	−0.907018	+	0.421093i	$0.861647\pi$
$332$	4.91714	+	2.27491i	0.269863	+	0.124852i
$333$	−6.38779	−	4.85587i	−0.350048	−	0.266100i
$334$	18.5991	−	2.02277i	1.01770	−	0.110681i
$335$	−2.70328	+	9.73633i	−0.147696	+	0.531952i
$336$	−0.529707	+	0.781259i	−0.0288979	+	0.0426212i
$337$	17.2031	−	10.3508i	0.937115	−	0.563843i	0.0369142	−	0.999318i	$-0.488247\pi$
$337$	17.2031	−	10.3508i	0.937115	−	0.563843i	0.900201	+	0.435475i	$0.143420\pi$
$338$	0.0775989	+	1.43123i	0.00422082	+	0.0778485i
$339$	−1.50585	+	1.42642i	−0.0817865	+	0.0774723i
$340$	−6.19805	+	4.71164i	−0.336136	+	0.255524i
$341$	31.5134	−	6.93663i	1.70655	−	0.375639i
$342$	2.41081	+	2.83823i	0.130362	+	0.153474i
$343$	−0.669897	+	12.3555i	−0.0361711	+	0.667136i
$344$	−2.50637	−	4.72752i	−0.135135	−	0.254891i
$345$	19.3309	+	4.25506i	1.04074	+	0.229085i
$346$	12.0750	−	5.58651i	0.649158	−	0.300332i
$347$	3.80490	+	2.28933i	0.204258	+	0.122898i	0.614008	−	0.789300i	$-0.289556\pi$
$347$	3.80490	+	2.28933i	0.204258	+	0.122898i	−0.409750	+	0.912198i	$0.634384\pi$
$348$	1.70131	−	3.20900i	0.0911995	−	0.172021i
$349$	15.8094	−	18.6123i	0.846259	−	0.996293i	−0.153708	−	0.988116i	$-0.549121\pi$
$349$	15.8094	−	18.6123i	0.846259	−	0.996293i	0.999967	−	0.00817663i	$-0.00260273\pi$
$350$	−0.0704143	−	0.0666999i	−0.00376380	−	0.00356526i
$351$	3.38104	+	0.367711i	0.180467	+	0.0196269i
$352$	−1.25817	+	3.15777i	−0.0670607	+	0.168310i
$353$	−31.5991			−1.68185			−0.840926	−	0.541151i	$-0.817989\pi$
$353$	−31.5991			−1.68185			−0.840926	+	0.541151i	$0.817989\pi$
$354$	2.22648	−	7.35138i	0.118336	−	0.390721i
$355$	−15.6554			−0.830905
$356$	0.152089	−	0.381715i	0.00806072	−	0.0202309i
$357$	−3.30134	−	0.359042i	−0.174725	−	0.0190025i
$358$	13.4409	+	12.7319i	0.710372	+	0.672900i
$359$	23.1199	−	27.2188i	1.22022	−	1.43655i	0.355218	−	0.934784i	$-0.384407\pi$
$359$	23.1199	−	27.2188i	1.22022	−	1.43655i	0.865001	−	0.501769i	$-0.167317\pi$
$360$	1.03657	−	1.95519i	0.0546323	−	0.103047i
$361$	4.39779	+	2.64606i	0.231463	+	0.139266i
$362$	11.0406	−	5.10795i	0.580284	−	0.268468i
$363$	0.541527	+	0.119199i	0.0284228	+	0.00625634i
$364$	−1.50368	−	2.83625i	−0.0788145	−	0.148660i
$365$	1.26763	−	23.3800i	0.0663506	−	1.22377i
$366$	4.11672	+	4.84658i	0.215184	+	0.253335i
$367$	−26.0863	+	5.74203i	−1.36169	+	0.299732i	−0.834966	−	0.550302i	$-0.814513\pi$
$367$	−26.0863	+	5.74203i	−1.36169	+	0.299732i	−0.526729	+	0.850033i	$0.676582\pi$
$368$	−7.12057	+	5.41292i	−0.371186	+	0.282168i
$369$	3.73236	−	3.53548i	0.194299	−	0.184050i
$370$	−0.961329	−	17.7307i	−0.0499771	−	0.921773i
$371$	5.42363	−	3.26329i	0.281581	−	0.169422i
$372$	5.32723	−	7.85708i	0.276204	−	0.407371i
$373$	9.02663	−	32.5110i	0.467381	−	1.68335i	−0.235360	−	0.971908i	$-0.575627\pi$
$373$	9.02663	−	32.5110i	0.467381	−	1.68335i	0.702741	−	0.711446i	$-0.251959\pi$
$374$	−11.8888	+	1.29298i	−0.614754	+	0.0668586i
$375$	8.98968	+	6.83378i	0.464225	+	0.352895i
$376$	−3.45102	−	1.59661i	−0.177973	−	0.0823391i
$377$	6.93217	+	10.2242i	0.357025	+	0.526573i
$378$	0.894493	−	0.301390i	0.0460078	−	0.0155018i
$379$	−2.18523	−	13.3293i	−0.112248	−	0.684681i	−0.981667	−	0.190605i	$-0.938955\pi$
$379$	−2.18523	−	13.3293i	−0.112248	−	0.684681i	0.869419	−	0.494076i	$-0.164493\pi$
$380$	−1.33323	+	8.13236i	−0.0683934	+	0.417181i
$381$	−12.8457	−	4.32822i	−0.658105	−	0.221742i
$382$	−3.89796	−	14.0392i	−0.199437	−	0.718307i
$383$	−9.60682	−	24.1113i	−0.490886	−	1.23203i	−0.940801	−	0.338959i	$-0.889925\pi$
$383$	−9.60682	−	24.1113i	−0.490886	−	1.23203i	0.449916	−	0.893071i	$-0.351454\pi$
$384$	0.370138	+	0.928977i	0.0188885	+	0.0474066i
$385$	1.89954	+	6.84153i	0.0968096	+	0.348677i
$386$	4.46036	+	1.50287i	0.227026	+	0.0764941i
$387$	−0.865667	+	5.28034i	−0.0440044	+	0.268415i
$388$	−0.436029	−	2.65966i	−0.0221360	−	0.135024i
$389$	−20.7285	+	6.98424i	−1.05098	+	0.354115i	−0.791202	−	0.611555i	$-0.790544\pi$
$389$	−20.7285	+	6.98424i	−1.05098	+	0.354115i	−0.259773	+	0.965670i	$0.583648\pi$
$390$	4.22365	+	6.22942i	0.213873	+	0.315439i
$391$	−28.5594	−	13.2130i	−1.44431	−	0.668210i
$392$	4.86337	+	3.69704i	0.245637	+	0.186729i
$393$	3.20932	−	0.349034i	0.161889	−	0.0176065i
$394$	1.29821	−	4.67574i	0.0654030	−	0.235560i
$395$	1.62171	−	2.39185i	0.0815972	−	0.120347i
$396$	2.91262	−	1.75247i	0.146365	−	0.0880647i
$397$	2.05164	+	37.8402i	0.102969	+	1.89915i	0.360319	+	0.932829i	$0.382668\pi$
$397$	2.05164	+	37.8402i	0.102969	+	1.89915i	−0.257350	+	0.966318i	$0.582849\pi$
$398$	−7.56043	+	7.16162i	−0.378970	+	0.358979i
$399$	−2.79828	+	2.12720i	−0.140089	+	0.106493i
$400$	−0.100352	+	0.0220891i	−0.00501759	+	0.00110445i
$401$	−2.20393	−	2.59467i	−0.110059	−	0.129572i	0.704374	−	0.709829i	$-0.251228\pi$
$401$	−2.20393	−	2.59467i	−0.110059	−	0.129572i	−0.814433	+	0.580257i	$0.802952\pi$
$402$	−0.247203	+	4.55940i	−0.0123294	+	0.227402i
$403$	15.1225	+	28.5240i	0.753304	+	1.42088i
$404$	−4.71814	−	1.03854i	−0.234736	−	0.0516693i
$405$	−2.00844	+	0.929203i	−0.0998001	+	0.0461725i
$406$	2.93761	+	1.76750i	0.145791	+	0.0877195i
$407$	12.7758	−	24.0976i	0.633271	−	1.19448i
$408$	−2.27761	+	2.68141i	−0.112758	+	0.132749i
$409$	27.7851	+	26.3195i	1.37389	+	1.30141i	0.909453	+	0.415806i	$0.136500\pi$
$409$	27.7851	+	26.3195i	1.37389	+	1.30141i	0.464433	+	0.885608i	$0.346258\pi$
$410$	11.3103	+	1.23006i	0.558574	+	0.0607486i
$411$	−1.20514	+	3.02468i	−0.0594453	+	0.149196i
$412$	−16.8638			−0.830819
$413$	6.81504	+	2.47417i	0.335346	+	0.121746i
$414$	8.94440			0.439593
$415$	4.43782	−	11.1381i	0.217844	−	0.546747i
$416$	−3.38104	−	0.367711i	−0.165769	−	0.0180285i
$417$	−4.08962	−	3.87389i	−0.200269	−	0.189705i
$418$	−8.19480	+	9.64767i	−0.400821	+	0.471883i
$419$	−14.6093	+	27.5561i	−0.713712	+	1.34620i	0.215444	+	0.976516i	$0.430880\pi$
$419$	−14.6093	+	27.5561i	−0.713712	+	1.34620i	−0.929156	+	0.369688i	$0.879465\pi$
$420$	1.78983	+	1.07691i	0.0873348	+	0.0525476i
$421$	17.0010	−	7.86552i	0.828580	−	0.383342i	0.0407004	−	0.999171i	$-0.487041\pi$
$421$	17.0010	−	7.86552i	0.828580	−	0.383342i	0.787879	+	0.615830i	$0.211179\pi$
$422$	11.6917	+	2.57354i	0.569144	+	0.125278i
$423$	1.78111	+	3.35952i	0.0866004	+	0.163346i
$424$	0.363048	−	6.69602i	0.0176311	−	0.325187i
$425$	−0.234033	−	0.275525i	−0.0113523	−	0.0133649i
$426$	−6.90900	+	1.52079i	−0.334742	+	0.0736823i
$427$	−4.77836	+	3.63242i	−0.231241	+	0.175785i
$428$	12.6182	−	11.9526i	0.609924	−	0.577751i
$429$	0.625877	+	11.5436i	0.0302176	+	0.557331i
$430$	−10.1462	+	6.10479i	−0.489295	+	0.294399i
$431$	−4.52492	+	6.67375i	−0.217958	+	0.321463i	−0.920911	−	0.389772i	$-0.872554\pi$
$431$	−4.52492	+	6.67375i	−0.217958	+	0.321463i	0.702954	+	0.711236i	$0.251864\pi$
$432$	0.267528	−	0.963550i	0.0128715	−	0.0463588i
$433$	−18.8168	+	2.04645i	−0.904276	+	0.0983460i	−0.548428	−	0.836198i	$-0.684774\pi$
$433$	−18.8168	+	2.04645i	−0.904276	+	0.0983460i	−0.355848	+	0.934544i	$0.615808\pi$
$434$	7.13322	+	5.42253i	0.342406	+	0.260290i
$435$	−7.29485	−	3.37496i	−0.349761	−	0.161817i
$436$	−7.71320	−	11.3761i	−0.369395	−	0.544817i
$437$	−31.5646	+	10.6353i	−1.50994	+	0.508758i
$438$	−1.71173	−	10.4411i	−0.0817898	−	0.498896i
$439$	−2.13797	+	13.0411i	−0.102040	+	0.622416i	0.885450	+	0.464735i	$0.153850\pi$
$439$	−2.13797	+	13.0411i	−0.102040	+	0.622416i	−0.987490	+	0.157682i	$0.949598\pi$
$440$	7.12854	+	2.40189i	0.339840	+	0.114505i
$441$	−1.63434	−	5.88637i	−0.0778258	−	0.280303i
$442$	−4.42877	−	11.1154i	−0.210655	−	0.528705i
$443$	7.31970	+	18.3711i	0.347769	+	0.872835i	0.993968	+	0.109666i	$0.0349782\pi$
$443$	7.31970	+	18.3711i	0.347769	+	0.872835i	−0.646199	+	0.763169i	$0.723642\pi$
$444$	−2.14663	−	7.73145i	−0.101874	−	0.366918i
$445$	−0.861708	−	0.290343i	−0.0408489	−	0.0137636i
$446$	−0.268596	+	1.63836i	−0.0127184	+	0.0775786i
$447$	1.72769	+	10.5384i	0.0817167	+	0.498450i
$448$	−0.894493	+	0.301390i	−0.0422608	+	0.0142393i
$449$	0.779496	+	1.14967i	0.0367867	+	0.0542563i	0.845638	−	0.533757i	$-0.179220\pi$
$449$	0.779496	+	1.14967i	0.0367867	+	0.0542563i	−0.808851	+	0.588014i	$0.799910\pi$
$450$	0.0932571	+	0.0431453i	0.00439618	+	0.00203389i
$451$	13.9120	+	10.5756i	0.655090	+	0.497986i
$452$	−2.06203	+	0.224259i	−0.0969896	+	0.0105483i
$453$	4.19972	−	15.1260i	0.197320	−	0.710682i
$454$	12.0753	−	17.8097i	0.566720	−	0.835849i
$455$	−6.08718	+	3.66254i	−0.285372	+	0.171702i
$456$	0.201609	+	3.71845i	0.00944119	+	0.174132i
$457$	21.8053	−	20.6551i	1.02001	−	0.966204i	0.0205731	−	0.999788i	$-0.493451\pi$
$457$	21.8053	−	20.6551i	1.02001	−	0.966204i	0.999436	+	0.0335846i	$0.0106923\pi$
$458$	0.152986	−	0.116297i	0.00714858	−	0.00543421i
$459$	3.43591	−	0.756300i	0.160374	−	0.0353011i
$460$	12.8142	+	15.0860i	0.597464	+	0.703389i
$461$	−0.0824148	+	1.52005i	−0.00383844	+	0.0707958i	−0.999825	−	0.0187070i	$-0.994045\pi$
$461$	−0.0824148	+	1.52005i	−0.00383844	+	0.0707958i	0.995987	+	0.0895028i	$0.0285278\pi$
$462$	1.50289	+	2.83476i	0.0699209	+	0.131885i
$463$	−2.67572	−	0.588970i	−0.124351	−	0.0273718i	0.152359	−	0.988325i	$-0.451313\pi$
$463$	−2.67572	−	0.588970i	−0.124351	−	0.0273718i	−0.276710	+	0.960953i	$0.589244\pi$
$464$	3.29640	−	1.52508i	0.153032	−	0.0708000i
$465$	−18.0003	−	10.8304i	−0.834742	−	0.502247i
$466$	−11.5003	+	21.6918i	−0.532740	+	1.00485i
$467$	−15.8926	+	18.7102i	−0.735423	+	0.865806i	−0.994996	−	0.0999170i	$-0.968142\pi$
$467$	−15.8926	+	18.7102i	−0.735423	+	0.865806i	0.259573	+	0.965723i	$0.416418\pi$
$468$	2.46910	+	2.33885i	0.114134	+	0.108114i
$469$	−4.28469	−	0.465988i	−0.197849	−	0.0215173i
$470$	−3.11462	+	7.81711i	−0.143667	+	0.360576i
$471$	6.85444			0.315836
$472$	6.22135	−	4.50497i	0.286361	−	0.207358i
$473$	−18.1885			−0.836307
$474$	0.483342	−	1.21310i	0.0222006	−	0.0557193i
$475$	−0.380404	−	0.0413715i	−0.0174541	−	0.00189825i
$476$	−2.41089	−	2.28371i	−0.110503	−	0.104674i
$477$	−4.34128	+	5.11095i	−0.198773	+	0.234014i
$478$	−10.9182	+	20.5940i	−0.499389	+	0.941947i
$479$	−21.7357	−	13.0779i	−0.993128	−	0.597545i	−0.0764083	−	0.997077i	$-0.524345\pi$
$479$	−21.7357	−	13.0779i	−0.993128	−	0.597545i	−0.916720	+	0.399531i	$0.869173\pi$
$480$	2.00844	−	0.929203i	0.0916723	−	0.0424121i
$481$	26.6512	+	5.86637i	1.21519	+	0.267483i
$482$	9.91575	+	18.7031i	0.451650	+	0.851903i
$483$	−0.457076	+	8.43027i	−0.0207977	+	0.383591i
$484$	0.358970	+	0.422612i	0.0163168	+	0.0192096i
$485$	−5.82488	+	1.28215i	−0.264494	+	0.0582196i
$486$	−0.796093	+	0.605174i	−0.0361115	+	0.0274513i
$487$	9.61439	−	9.10724i	0.435670	−	0.412688i	−0.438178	−	0.898888i	$-0.644376\pi$
$487$	9.61439	−	9.10724i	0.435670	−	0.412688i	0.873848	+	0.486200i	$0.161617\pi$
$488$	0.344268	+	6.34966i	0.0155843	+	0.287436i
$489$	3.65075	−	2.19659i	0.165093	−	0.0993331i
$490$	7.58677	−	11.1897i	0.342735	−	0.505497i
$491$	0.151959	−	0.547305i	0.00685780	−	0.0246995i	−0.960042	−	0.279856i	$-0.909713\pi$
$491$	0.151959	−	0.547305i	0.00685780	−	0.0246995i	0.966900	+	0.255157i	$0.0821270\pi$
$492$	5.11089	−	0.555843i	0.230417	−	0.0250593i
$493$	10.1727	+	7.73309i	0.458156	+	0.348281i
$494$	−11.4944	−	5.31788i	−0.517158	−	0.239263i
$495$	−4.22142	−	6.22614i	−0.189739	−	0.279844i
$496$	8.99588	−	3.03106i	0.403927	−	0.136099i
$497$	−1.08031	−	6.58958i	−0.0484584	−	0.295583i
$498$	0.876517	−	5.34652i	0.0392777	−	0.239583i
$499$	16.6990	+	5.62655i	0.747550	+	0.251879i	0.667191	−	0.744887i	$-0.267497\pi$
$499$	16.6990	+	5.62655i	0.747550	+	0.251879i	0.0803594	+	0.996766i	$0.474393\pi$
$500$	3.02100	+	10.8807i	0.135103	+	0.486597i
$501$	−6.92481	−	17.3800i	−0.309378	−	0.776480i
$502$	−9.57547	−	24.0326i	−0.427374	−	1.07263i
$503$	4.98050	+	17.9381i	0.222069	+	0.799822i	0.987676	+	0.156513i	$0.0500252\pi$
$503$	4.98050	+	17.9381i	0.222069	+	0.799822i	−0.765606	+	0.643309i	$0.777561\pi$
$504$	0.894493	+	0.301390i	0.0398439	+	0.0134250i
$505$	−1.72962	+	10.5502i	−0.0769671	+	0.469479i
$506$	4.91877	+	30.0032i	0.218666	+	1.33380i
$507$	1.35830	−	0.457664i	0.0603242	−	0.0203256i
$508$	−7.60705	−	11.2196i	−0.337508	−	0.497787i
$509$	−21.1497	−	9.78487i	−0.937442	−	0.433707i	−0.109164	−	0.994024i	$-0.534817\pi$
$509$	−21.1497	−	9.78487i	−0.937442	−	0.433707i	−0.828278	+	0.560317i	$0.810679\pi$
$510$	6.19805	+	4.71164i	0.274454	+	0.208635i
$511$	9.92843	−	1.07978i	0.439208	−	0.0477667i
$512$	−0.267528	+	0.963550i	−0.0118232	+	0.0425833i
$513$	2.08981	−	3.08224i	0.0922675	−	0.136084i
$514$	−19.8719	+	11.9565i	−0.876513	+	0.527381i
$515$	2.02042	+	37.2644i	0.0890302	+	1.64206i
$516$	−3.88468	+	3.67976i	−0.171013	+	0.161992i
$517$	−10.2897	+	7.82206i	−0.452542	+	0.344014i
$518$	7.39673	−	1.62814i	0.324994	−	0.0715366i
$519$	−8.61329	−	10.1404i	−0.378082	−	0.445112i
$520$	−0.407464	+	7.51524i	−0.0178685	+	0.329565i
$521$	16.0734	+	30.3176i	0.704188	+	1.32824i	0.934794	+	0.355192i	$0.115584\pi$
$521$	16.0734	+	30.3176i	0.704188	+	1.32824i	−0.230606	+	0.973047i	$0.574071\pi$
$522$	−3.54718	−	0.780794i	−0.155256	−	0.0341744i
$523$	−2.20930	+	1.02213i	−0.0966058	+	0.0446946i	−0.467597	−	0.883942i	$-0.654880\pi$
$523$	−2.20930	+	1.02213i	−0.0966058	+	0.0446946i	0.370991	+	0.928636i	$0.379018\pi$
$524$	2.76614	+	1.66433i	0.120840	+	0.0727067i
$525$	−0.0454309	+	0.0856918i	−0.00198277	+	0.00373990i
$526$	−2.20349	+	2.59415i	−0.0960766	+	0.113110i
$527$	24.2462	+	22.9672i	1.05618	+	1.00047i
$528$	3.37926	+	0.367517i	0.147064	+	0.0159941i
$529$	−21.0987	+	52.9538i	−0.917335	+	2.30234i
$530$	−14.8399			−0.644603
$531$	−7.67907	−	0.178622i	−0.333243	−	0.00775152i
$532$	−3.51502			−0.152395
$533$	−6.47169	+	16.2427i	−0.280320	+	0.703551i
$534$	−0.408490	−	0.0444260i	−0.0176771	−	0.00192250i
$535$	−27.9237	−	26.4508i	−1.20725	−	1.14357i
$536$	−2.95603	+	3.48010i	−0.127681	+	0.150318i
$537$	8.67197	−	16.3571i	0.374223	−	0.705860i
$538$	14.2698	+	8.58586i	0.615216	+	0.370163i
$539$	18.8465	−	8.71934i	0.811778	−	0.375568i
$540$	−2.16123	−	0.475724i	−0.0930047	−	0.0204719i
$541$	−10.3411	−	19.5054i	−0.444598	−	0.838601i	−0.999975	−	0.00700239i	$-0.997771\pi$
$541$	−10.3411	−	19.5054i	−0.444598	−	0.838601i	0.555378	−	0.831598i	$-0.312574\pi$
$542$	1.47253	−	27.1593i	0.0632507	−	1.16659i
$543$	−7.87545	−	9.27170i	−0.337968	−	0.397887i
$544$	−3.43591	+	0.756300i	−0.147313	+	0.0324261i
$545$	−24.2140	+	18.4070i	−1.03721	+	0.788470i
$546$	−2.33059	+	2.20765i	−0.0997400	+	0.0944788i
$547$	−0.0702668	−	1.29600i	−0.00300439	−	0.0554128i	0.996647	−	0.0818245i	$-0.0260747\pi$
$547$	−0.0702668	−	1.29600i	−0.00300439	−	0.0554128i	−0.999651	+	0.0264117i	$0.991592\pi$
$548$	−2.78986	+	1.67861i	−0.119177	+	0.0717065i
$549$	3.56858	−	5.26326i	0.152303	−	0.224631i
$550$	−0.0934425	+	0.336549i	−0.00398440	+	0.0143505i
$551$	13.4463	−	1.46238i	0.572833	−	0.0622993i
$552$	7.12057	+	5.41292i	0.303072	+	0.230389i
$553$	1.11867	+	0.517550i	0.0475706	+	0.0220085i
$554$	11.9300	+	17.5955i	0.506858	+	0.747560i
$555$	−16.8272	+	5.66974i	−0.714275	+	0.240667i
$556$	−0.911337	−	5.55891i	−0.0386493	−	0.235750i
$557$	0.942951	−	5.75175i	0.0399541	−	0.243709i	−0.959297	−	0.282399i	$-0.908870\pi$
$557$	0.942951	−	5.75175i	0.0399541	−	0.243709i	0.999251	+	0.0386892i	$0.0123182\pi$
$558$	−8.99588	−	3.03106i	−0.380826	−	0.128315i
$559$	−4.86850	−	17.5347i	−0.205915	−	0.741641i
$560$	0.773157	+	1.94048i	0.0326718	+	0.0820001i
$561$	4.42644	+	11.1095i	0.186884	+	0.469045i
$562$	−2.25952	−	8.13805i	−0.0953121	−	0.343283i
$563$	23.6377	+	7.96448i	0.996212	+	0.335663i	0.769742	−	0.638355i	$-0.220385\pi$
$563$	23.6377	+	7.96448i	0.996212	+	0.335663i	0.226470	+	0.974018i	$0.427282\pi$
$564$	−0.615170	+	3.75237i	−0.0259033	+	0.158003i
$565$	0.742598	+	4.52965i	0.0312413	+	0.190564i
$566$	−5.48769	+	1.84902i	−0.230665	+	0.0777201i
$567$	−0.529707	−	0.781259i	−0.0222456	−	0.0328098i
$568$	−6.42055	−	2.97046i	−0.269400	−	0.124638i
$569$	26.0788	+	19.8246i	1.09328	+	0.831091i	0.986593	−	0.163202i	$-0.0521822\pi$
$569$	26.0788	+	19.8246i	1.09328	+	0.831091i	0.106688	+	0.994293i	$0.465975\pi$
$570$	8.19261	−	0.891000i	0.343151	−	0.0373199i
$571$	7.76162	−	27.9548i	0.324814	−	1.16987i	−0.603281	−	0.797529i	$-0.706140\pi$
$571$	7.76162	−	27.9548i	0.324814	−	1.16987i	0.928095	−	0.372345i	$-0.121446\pi$
$572$	−6.48765	+	9.56856i	−0.271262	+	0.400082i
$573$	−12.4846	+	7.51176i	−0.521553	+	0.313808i
$574$	0.262716	+	4.84552i	0.0109656	+	0.202248i
$575$	−0.667243	+	0.632046i	−0.0278260	+	0.0263582i
$576$	0.796093	−	0.605174i	0.0331705	−	0.0252156i
$577$	18.8988	−	4.15995i	0.786769	−	0.173181i	0.196625	−	0.980479i	$-0.437002\pi$
$577$	18.8988	−	4.15995i	0.786769	−	0.173181i	0.590144	+	0.807298i	$0.299071\pi$
$578$	2.99259	+	3.52314i	0.124475	+	0.146543i
$579$	0.254818	−	4.69984i	0.0105899	−	0.195319i
$580$	−3.76494	−	7.10143i	−0.156331	−	0.294871i
$581$	4.99440	+	1.09935i	0.207203	+	0.0456088i
$582$	−2.44606	+	1.13167i	−0.101393	+	0.0469092i
$583$	−19.5316	−	11.7518i	−0.808916	−	0.486709i
$584$	4.95599	−	9.34800i	0.205080	−	0.386823i
$585$	4.87241	−	5.73624i	0.201449	−	0.237164i
$586$	8.12523	+	7.69662i	0.335650	+	0.317945i
$587$	−42.4427	−	4.61592i	−1.75180	−	0.190519i	−0.824759	−	0.565485i	$-0.808689\pi$
$587$	−42.4427	−	4.61592i	−1.75180	−	0.190519i	−0.927039	+	0.374965i	$0.877655\pi$
$588$	2.26119	−	5.67516i	0.0932499	−	0.234040i
$589$	35.3504			1.45659
$590$	−10.7001	−	13.2078i	−0.440517	−	0.543755i
$591$	−4.85261			−0.199610
$592$	2.96996	−	7.45403i	0.122065	−	0.306359i
$593$	11.3511	+	1.23451i	0.466134	+	0.0506951i	0.338173	−	0.941084i	$-0.390191\pi$
$593$	11.3511	+	1.23451i	0.466134	+	0.0506951i	0.127961	+	0.991779i	$0.459157\pi$
$594$	−2.46780	−	2.33762i	−0.101255	−	0.0959138i
$595$	−4.75754	+	5.60101i	−0.195040	+	0.229619i
$596$	−5.00218	+	9.43511i	−0.204897	+	0.386477i
$597$	8.92320	+	5.36891i	0.365202	+	0.219735i
$598$	−27.6082	+	12.7729i	−1.12898	+	0.522323i
$599$	10.2194	+	2.24947i	0.417554	+	0.0919107i	0.418778	−	0.908089i	$-0.362459\pi$
$599$	10.2194	+	2.24947i	0.417554	+	0.0919107i	−0.00122377	+	0.999999i	$0.500390\pi$
$600$	0.0481309	+	0.0907845i	0.00196493	+	0.00370626i
$601$	−2.39459	+	44.1656i	−0.0976774	+	1.80155i	0.382055	+	0.924139i	$0.375216\pi$
$601$	−2.39459	+	44.1656i	−0.0976774	+	1.80155i	−0.479733	+	0.877415i	$0.659266\pi$
$602$	−3.26973	−	3.84943i	−0.133264	−	0.156891i
$603$	4.45934	−	0.981575i	0.181598	−	0.0399728i
$604$	12.4972	−	9.50015i	0.508505	−	0.386556i
$605$	0.890850	−	0.843858i	0.0362182	−	0.0343077i
$606$	0.261550	+	4.82400i	0.0106247	+	0.195962i
$607$	31.2987	−	18.8318i	1.27037	−	0.764359i	0.289160	−	0.957281i	$-0.406624\pi$
$607$	31.2987	−	18.8318i	1.27037	−	0.764359i	0.981214	+	0.192922i	$0.0617963\pi$
$608$	−2.08981	+	3.08224i	−0.0847531	+	0.125001i
$609$	0.917181	−	3.30339i	0.0371660	−	0.133860i
$610$	13.9898	−	1.52148i	0.566429	−	0.0616029i
$611$	−10.2952	−	7.82618i	−0.416498	−	0.316613i
$612$	3.19299	+	1.47724i	0.129069	+	0.0597137i
$613$	−14.9616	−	22.0667i	−0.604294	−	0.891267i	0.395334	−	0.918537i	$-0.370629\pi$
$613$	−14.9616	−	22.0667i	−0.604294	−	0.891267i	−0.999628	+	0.0272705i	$0.991318\pi$
$614$	−11.5354	+	3.88674i	−0.465533	+	0.156856i
$615$	−1.84059	−	11.2271i	−0.0742196	−	0.452719i
$616$	−0.519079	+	3.16624i	−0.0209143	+	0.127571i
$617$	12.2597	+	4.13079i	0.493559	+	0.166299i	0.555064	−	0.831807i	$-0.312694\pi$
$617$	12.2597	+	4.13079i	0.493559	+	0.166299i	−0.0615055	+	0.998107i	$0.519590\pi$
$618$	4.51154	+	16.2491i	0.181481	+	0.653635i
$619$	4.11866	+	10.3371i	0.165543	+	0.415482i	0.988223	−	0.153024i	$-0.0489011\pi$
$619$	4.11866	+	10.3371i	0.165543	+	0.415482i	−0.822679	+	0.568506i	$0.807522\pi$
$620$	−7.77560	−	19.5153i	−0.312276	−	0.783753i
$621$	−2.39288	−	8.61838i	−0.0960230	−	0.345843i
$622$	−9.75758	−	3.28771i	−0.391243	−	0.131825i
$623$	0.0627470	−	0.382740i	0.00251390	−	0.0153341i
$624$	0.550217	+	3.35618i	0.0220263	+	0.134355i
$625$	23.1944	−	7.81512i	0.927778	−	0.312605i
$626$	−8.12385	−	11.9818i	−0.324695	−	0.478889i
$627$	11.4884	+	5.31508i	0.458801	+	0.212264i
$628$	5.45677	+	4.14813i	0.217749	+	0.165528i
$629$	28.0639	−	3.05214i	1.11898	−	0.121697i
$630$	0.558822	−	2.01269i	0.0222640	−	0.0801877i
$631$	13.8238	−	20.3886i	0.550318	−	0.811659i	−0.446209	−	0.894929i	$-0.647226\pi$
$631$	13.8238	−	20.3886i	0.550318	−	0.811659i	0.996527	+	0.0832701i	$0.0265364\pi$
$632$	1.11892	−	0.673231i	0.0445082	−	0.0267797i
$633$	−0.648129	−	11.9540i	−0.0257608	−	0.475131i
$634$	−2.58003	+	2.44394i	−0.102466	+	0.0970612i
$635$	−23.8808	+	18.1537i	−0.947679	+	0.720407i
$636$	−6.54907	+	1.44156i	−0.259688	+	0.0571616i
$637$	13.4506	+	15.8352i	0.532931	+	0.627415i
$638$	0.668409	−	12.3281i	0.0264626	−	0.488073i
$639$	3.31371	+	6.25031i	0.131088	+	0.247259i
$640$	2.16123	+	0.475724i	0.0854303	+	0.0188046i
$641$	−39.9293	+	18.4733i	−1.57711	+	0.729651i	−0.996426	−	0.0844748i	$-0.973079\pi$
$641$	−39.9293	+	18.4733i	−1.57711	+	0.729651i	−0.580689	+	0.814126i	$0.697217\pi$
$642$	−14.8927	−	8.96062i	−0.587766	−	0.353647i
$643$	−14.2964	+	26.9659i	−0.563796	+	1.06343i	0.423702	+	0.905802i	$0.360730\pi$
$643$	−14.2964	+	26.9659i	−0.563796	+	1.06343i	−0.987498	+	0.157631i	$0.949614\pi$
$644$	−5.46566	+	6.43467i	−0.215377	+	0.253561i
$645$	8.59668	+	8.14321i	0.338494	+	0.320639i
$646$	−13.0245	−	1.41650i	−0.512443	−	0.0557315i
$647$	−7.44945	+	18.6967i	−0.292868	+	0.735043i	0.706752	+	0.707462i	$0.250160\pi$
$647$	−7.44945	+	18.6967i	−0.292868	+	0.735043i	−0.999620	+	0.0275813i	$0.991219\pi$
$648$	−1.00000			−0.0392837
$649$	−3.62376	−	25.8570i	−0.142245	−	1.01498i
$650$	−0.349465			−0.0137071
$651$	3.31654	−	8.32390i	0.129986	−	0.326239i
$652$	4.23566	+	0.460655i	0.165881	+	0.0180407i
$653$	0.784419	+	0.743041i	0.0306967	+	0.0290774i	0.702894	−	0.711295i	$-0.251891\pi$
$653$	0.784419	+	0.743041i	0.0306967	+	0.0290774i	−0.672197	+	0.740372i	$0.734649\pi$
$654$	−8.89796	+	10.4755i	−0.347938	+	0.409624i
$655$	3.34632	−	6.31182i	0.130751	−	0.246623i
$656$	4.40513	+	2.65048i	0.171991	+	0.103484i
$657$	−9.60260	+	4.44264i	−0.374633	+	0.173324i
$658$	−3.50525	−	0.771564i	−0.136649	−	0.0300787i
$659$	−8.40955	−	15.8621i	−0.327589	−	0.617899i	0.663939	−	0.747786i	$-0.268883\pi$
$659$	−8.40955	−	15.8621i	−0.327589	−	0.617899i	−0.991529	+	0.129887i	$0.958538\pi$
$660$	0.407250	−	7.51128i	0.0158522	−	0.292376i
$661$	−25.5075	−	30.0297i	−0.992126	−	1.16802i	−0.985780	−	0.168041i	$-0.946256\pi$
$661$	−25.5075	−	30.0297i	−0.992126	−	1.16802i	−0.00634601	−	0.999980i	$-0.502020\pi$
$662$	−5.70258	+	1.25523i	−0.221637	+	0.0487860i
$663$	−9.52540	+	7.24102i	−0.369936	+	0.281218i
$664$	3.93336	−	3.72588i	0.152644	−	0.144592i
$665$	0.421127	+	7.76723i	0.0163306	+	0.301200i
$666$	−6.87535	+	4.13676i	−0.266414	+	0.160296i
$667$	18.2312	−	26.8891i	0.705917	−	1.04115i
$668$	5.00511	−	18.0268i	0.193654	−	0.697478i
$669$	1.65050	−	0.179503i	0.0638120	−	0.00693997i
$670$	8.04423	+	6.11507i	0.310776	+	0.236246i
$671$	19.6176	+	9.07607i	0.757329	+	0.350378i
$672$	0.529707	+	0.781259i	0.0204339	+	0.0301377i
$673$	−35.7658	+	12.0509i	−1.37867	+	0.464528i	−0.908439	−	0.418016i	$-0.862725\pi$
$673$	−35.7658	+	12.0509i	−1.37867	+	0.464528i	−0.470230	+	0.882544i	$0.655829\pi$
$674$	−3.24810	−	19.8125i	−0.125112	−	0.763151i
$675$	0.0166238	−	0.101400i	0.000639849	−	0.00390291i
$676$	1.35830	+	0.457664i	0.0522423	+	0.0176025i
$677$	11.1005	+	39.9805i	0.426628	+	1.53658i	0.794831	+	0.606831i	$0.207560\pi$
$677$	11.1005	+	39.9805i	0.426628	+	1.53658i	−0.368202	+	0.929746i	$0.620027\pi$
$678$	0.767736	+	1.92687i	0.0294847	+	0.0740010i
$679$	−0.941622	−	2.36329i	−0.0361362	−	0.0906949i
$680$	2.08286	+	7.50180i	0.0798742	+	0.287681i
$681$	−20.3910	−	6.87052i	−0.781384	−	0.263279i
$682$	5.22035	−	31.8427i	0.199898	−	1.21932i
$683$	4.25863	+	25.9765i	0.162952	+	0.993964i	0.934023	+	0.357214i	$0.116273\pi$
$683$	4.25863	+	25.9765i	0.162952	+	0.993964i	−0.771071	+	0.636750i	$0.780278\pi$
$684$	3.52898	−	1.18905i	0.134934	−	0.0454645i
$685$	4.04351	+	5.96373i	0.154494	+	0.227862i
$686$	11.2300	+	5.19557i	0.428765	+	0.198368i
$687$	−0.152986	−	0.116297i	−0.00583679	−	0.00443702i
$688$	−5.31946	+	0.578526i	−0.202803	+	0.0220561i
$689$	6.10138	−	21.9752i	0.232444	−	0.837188i
$690$	11.1080	−	16.3830i	0.422873	−	0.623691i
$691$	14.7715	−	8.88772i	0.561935	−	0.338105i	−0.206082	−	0.978535i	$-0.566071\pi$
$691$	14.7715	−	8.88772i	0.561935	−	0.338105i	0.768017	+	0.640430i	$0.221244\pi$
$692$	−0.720303	−	13.2852i	−0.0273818	−	0.505028i
$693$	2.32936	−	2.20649i	0.0884852	−	0.0838176i
$694$	3.53508	−	2.68730i	0.134190	−	0.102008i
$695$	−12.1745	+	2.67981i	−0.461805	+	0.101651i
$696$	−2.35137	−	2.76825i	−0.0891285	−	0.104930i
$697$	−0.979208	+	18.0604i	−0.0370901	+	0.684087i
$698$	−11.4387	−	21.5757i	−0.432962	−	0.816652i
$699$	23.9778	+	5.27792i	0.906924	+	0.199629i
$700$	−0.0880257	+	0.0407250i	−0.00332706	+	0.00153926i
$701$	21.3670	+	12.8561i	0.807021	+	0.485569i	0.858320	−	0.513115i	$-0.171508\pi$
$701$	21.3670	+	12.8561i	0.807021	+	0.485569i	−0.0512987	+	0.998683i	$0.516336\pi$
$702$	1.59305	−	3.00481i	0.0601257	−	0.113409i
$703$	19.3441	−	22.7737i	0.729578	−	0.858926i
$704$	2.46780	+	2.33762i	0.0930086	+	0.0881024i
$705$	8.36542	+	0.909795i	0.315060	+	0.0342648i
$706$	−11.6960	+	29.3548i	−0.440186	+	1.10478i
$707$	−4.56008			−0.171499
$708$	−6.00516	−	4.78937i	−0.225688	−	0.179996i
$709$	40.9676			1.53857			0.769286	−	0.638905i	$-0.220612\pi$
$709$	40.9676			1.53857			0.769286	+	0.638905i	$0.220612\pi$
$710$	−5.79468	+	14.5435i	−0.217470	+	0.545809i
$711$	−1.29819	−	0.141186i	−0.0486858	−	0.00529490i
$712$	−0.298311	−	0.282575i	−0.0111797	−	0.0105899i
$713$	54.9679	−	64.7132i	2.05856	−	2.42353i
$714$	−1.55549	+	2.93397i	−0.0582128	+	0.109801i
$715$	21.9212	+	13.1895i	0.819806	+	0.493261i
$716$	16.8026	−	7.77370i	0.627942	−	0.290517i
$717$	22.7643	+	5.01080i	0.850147	+	0.187132i
$718$	−16.7281	−	31.5525i	−0.624287	−	1.17753i
$719$	0.141295	−	2.60603i	0.00526941	−	0.0971885i	−0.994716	−	0.102669i	$-0.967262\pi$
$719$	0.141295	−	2.60603i	0.00526941	−	0.0971885i	0.999985	+	0.00548052i	$0.00174451\pi$
$720$	−1.43265	−	1.68664i	−0.0533916	−	0.0628575i
$721$	−15.5456	+	3.42186i	−0.578950	+	0.127437i
$722$	4.08592	−	3.10604i	0.152062	−	0.115595i
$723$	15.3686	−	14.5579i	0.571565	−	0.541415i
$724$	−0.658599	−	12.1472i	−0.0244767	−	0.451445i
$725$	0.319790	−	0.192411i	0.0118767	−	0.00714598i
$726$	0.311173	−	0.458946i	0.0115487	−	0.0170331i
$727$	−9.65123	+	34.7606i	−0.357944	+	1.28920i	0.537212	+	0.843447i	$0.319477\pi$
$727$	−9.65123	+	34.7606i	−0.357944	+	1.28920i	−0.895157	+	0.445752i	$0.852936\pi$
$728$	−3.19138	+	0.347084i	−0.118280	+	0.0128638i
$729$	0.796093	+	0.605174i	0.0294849	+	0.0224139i
$730$	−21.2503	−	9.83143i	−0.786508	−	0.363877i
$731$	−10.5644	−	15.5813i	−0.390738	−	0.576295i
$732$	6.02611	−	2.03043i	0.222731	−	0.0750470i
$733$	1.15189	+	7.02624i	0.0425462	+	0.259520i	0.999531	−	0.0306172i	$-0.00974728\pi$
$733$	1.15189	+	7.02624i	0.0425462	+	0.259520i	−0.956985	+	0.290137i	$0.906299\pi$
$734$	−4.32133	+	26.3589i	−0.159503	+	0.972926i
$735$	−12.8115	−	4.31668i	−0.472558	−	0.159223i
$736$	2.39288	+	8.61838i	0.0882027	+	0.317678i
$737$	5.74492	+	14.4187i	0.211617	+	0.531118i
$738$	−1.90289	−	4.77590i	−0.0700464	−	0.175803i
$739$	−11.0147	−	39.6712i	−0.405181	−	1.45933i	−0.831890	−	0.554940i	$-0.812741\pi$
$739$	−11.0147	−	39.6712i	−0.405181	−	1.45933i	0.426710	−	0.904389i	$-0.359673\pi$
$740$	−16.8272	−	5.66974i	−0.618580	−	0.208424i
$741$	−2.04896	+	12.4981i	−0.0752705	+	0.459130i
$742$	−1.02403	−	6.24630i	−0.0375933	−	0.229309i
$743$	−2.87742	+	0.969514i	−0.105562	+	0.0355680i	−0.371587	−	0.928398i	$-0.621186\pi$
$743$	−2.87742	+	0.969514i	−0.105562	+	0.0355680i	0.266025	+	0.963966i	$0.414290\pi$
$744$	−5.32723	−	7.85708i	−0.195306	−	0.288055i
$745$	21.4483	+	9.92305i	0.785805	+	0.363552i
$746$	−26.8608	−	20.4191i	−0.983445	−	0.747595i
$747$	−5.38613	+	0.585777i	−0.197068	+	0.0214324i
$748$	−3.19934	+	11.5230i	−0.116979	+	0.421322i
$749$	9.20660	−	13.5787i	0.336402	−	0.496156i
$750$	9.67585	−	5.82176i	0.353312	−	0.212581i
$751$	−1.95285	−	36.0182i	−0.0712606	−	1.31432i	−0.787433	−	0.616401i	$-0.788590\pi$
$751$	−1.95285	−	36.0182i	−0.0712606	−	1.31432i	0.716172	−	0.697924i	$-0.245893\pi$
$752$	−2.76057	+	2.61495i	−0.100668	+	0.0953575i
$753$	−20.5949	+	15.6558i	−0.750520	+	0.570531i
$754$	12.0639	−	2.65546i	0.439341	−	0.0967063i
$755$	−22.4900	−	26.4773i	−0.818495	−	0.963607i
$756$	0.0511019	−	0.942519i	0.00185856	−	0.0342791i
$757$	14.0854	+	26.5678i	0.511942	+	0.965625i	0.995894	+	0.0905300i	$0.0288561\pi$
$757$	14.0854	+	26.5678i	0.511942	+	0.965625i	−0.483952	+	0.875095i	$0.660799\pi$
$758$	−13.1915	−	2.90366i	−0.479136	−	0.105466i
$759$	27.5937	−	12.7662i	1.00159	−	0.463383i
$760$	7.06129	+	4.24864i	0.256140	+	0.154114i
$761$	13.4290	−	25.3297i	0.486799	−	0.918201i	−0.511465	−	0.859304i	$-0.670897\pi$
$761$	13.4290	−	25.3297i	0.486799	−	0.918201i	0.998264	−	0.0588967i	$-0.0187583\pi$
$762$	−8.77550	+	10.3313i	−0.317903	+	0.374264i
$763$	−9.41865	−	8.92182i	−0.340978	−	0.322992i
$764$	−14.4849	−	1.57532i	−0.524044	−	0.0569932i
$765$	2.88174	−	7.23263i	0.104190	−	0.261496i
$766$	−25.9547			−0.937781
$767$	23.9576	−	10.4146i	0.865061	−	0.376051i
$768$	1.00000			0.0360844
$769$	−7.19875	+	18.0675i	−0.259594	+	0.651531i	−0.999782	−	0.0208683i	$-0.993357\pi$
$769$	−7.19875	+	18.0675i	−0.259594	+	0.651531i	0.740189	+	0.672399i	$0.234736\pi$
$770$	7.05872	+	0.767682i	0.254378	+	0.0276653i
$771$	16.8370	+	15.9489i	0.606371	+	0.574385i
$772$	3.04708	−	3.58730i	0.109667	−	0.129110i
$773$	17.3097	−	32.6496i	0.622587	−	1.17432i	−0.348884	−	0.937166i	$-0.613439\pi$
$773$	17.3097	−	32.6496i	0.622587	−	1.17432i	0.971471	−	0.237158i	$-0.0762159\pi$
$774$	4.58489	+	2.75864i	0.164801	+	0.0991573i
$775$	0.885270	−	0.409570i	0.0317999	−	0.0147122i
$776$	−2.63215	−	0.579381i	−0.0944888	−	0.0207986i
$777$	−3.54763	−	6.69155i	−0.127271	−	0.240058i
$778$	−1.18421	+	21.8414i	−0.0424559	+	0.783052i
$779$	12.3940	+	14.5914i	0.444063	+	0.522791i
$780$	7.35032	−	1.61793i	0.263184	−	0.0579311i
$781$	−19.1438	+	14.5528i	−0.685020	+	0.520739i
$782$	−22.8455	+	21.6404i	−0.816953	+	0.773859i
$783$	0.196638	+	3.62677i	0.00702726	+	0.129610i
$784$	5.23458	−	3.14954i	0.186949	−	0.112484i
$785$	8.51247	−	12.5549i	0.303823	−	0.448105i
$786$	0.863646	−	3.11057i	0.0308052	−	0.110950i
$787$	11.0622	−	1.20308i	0.394324	−	0.0428853i	0.0911906	−	0.995833i	$-0.470933\pi$
$787$	11.0622	−	1.20308i	0.394324	−	0.0428853i	0.303133	+	0.952948i	$0.401967\pi$
$788$	−3.86313	−	2.93668i	−0.137618	−	0.104615i
$789$	3.08908	+	1.42916i	0.109974	+	0.0508795i
$790$	−1.62171	−	2.39185i	−0.0576980	−	0.0850981i
$791$	−1.85535	+	0.625139i	−0.0659685	+	0.0222274i
$792$	−0.549928	−	3.35441i	−0.0195408	−	0.119194i
$793$	−3.49882	+	21.3419i	−0.124247	+	0.757872i
$794$	35.9121	+	12.1002i	1.27447	+	0.429420i
$795$	3.97009	+	14.2990i	0.140804	+	0.507132i
$796$	3.85457	+	9.67425i	0.136622	+	0.342895i
$797$	−7.36284	−	18.4793i	−0.260805	−	0.654572i	0.739012	−	0.673692i	$-0.235293\pi$
$797$	−7.36284	−	18.4793i	−0.260805	−	0.654572i	−0.999817	+	0.0191206i	$0.993913\pi$
$798$	0.940366	+	3.38689i	0.0332886	+	0.119895i
$799$	−12.6774	−	4.27151i	−0.448494	−	0.151115i
$800$	−0.0166238	+	0.101400i	−0.000587739	+	0.00358505i
$801$	0.0664760	+	0.405486i	0.00234882	+	0.0143271i
$802$	−3.22615	+	1.08702i	−0.113919	+	0.0383839i
$803$	−20.1832	−	29.7679i	−0.712248	−	1.05049i
$804$	4.14407	+	1.91725i	0.146150	+	0.0676163i
$805$	14.8737	+	11.3067i	0.524229	+	0.398508i
$806$	32.0956	−	3.49060i	1.13052	−	0.122951i
$807$	4.45533	−	16.0466i	0.156835	−	0.564869i
$808$	−2.71114	+	3.99864i	−0.0953777	+	0.140672i
$809$	−23.3126	+	14.0267i	−0.819626	+	0.493153i	−0.862578	−	0.505924i	$-0.831152\pi$
$809$	−23.3126	+	14.0267i	−0.819626	+	0.493153i	0.0429514	+	0.999077i	$0.486324\pi$
$810$	0.119808	+	2.20973i	0.00420962	+	0.0776419i
$811$	−24.8894	+	23.5765i	−0.873986	+	0.827884i	−0.986159	−	0.165805i	$-0.946978\pi$
$811$	−24.8894	+	23.5765i	−0.873986	+	0.827884i	0.112172	+	0.993689i	$0.464219\pi$
$812$	2.72929	−	2.07475i	0.0957792	−	0.0728094i
$813$	−26.5632	+	5.84701i	−0.931614	+	0.205064i
$814$	−17.6573	−	20.7878i	−0.618890	−	0.728613i
$815$	0.510458	−	9.41484i	0.0178805	−	0.329787i
$816$	1.64793	+	3.10833i	0.0576893	+	0.108813i
$817$	−19.4602	−	4.28351i	−0.680825	−	0.149861i
$818$	34.7345	−	16.0699i	1.21446	−	0.561871i
$819$	2.75068	+	1.65503i	0.0961166	+	0.0578314i
$820$	5.32906	−	10.0517i	0.186099	−	0.351020i
$821$	14.7480	−	17.3627i	0.514708	−	0.605961i	−0.441999	−	0.897016i	$-0.645730\pi$
$821$	14.7480	−	17.3627i	0.514708	−	0.605961i	0.956706	+	0.291055i	$0.0940062\pi$
$822$	2.36379	+	2.23910i	0.0824466	+	0.0780975i
$823$	−52.4736	−	5.70684i	−1.82911	−	0.198928i	−0.872170	−	0.489203i	$-0.837288\pi$
$823$	−52.4736	−	5.70684i	−1.82911	−	0.198928i	−0.956943	+	0.290275i	$0.906253\pi$
$824$	−6.24193	+	15.6661i	−0.217448	+	0.545753i
$825$	0.349281			0.0121604
$826$	4.82095	−	5.41523i	0.167742	−	0.188420i
$827$	45.8633			1.59482			0.797411	−	0.603436i	$-0.206202\pi$
$827$	45.8633			1.59482			0.797411	+	0.603436i	$0.206202\pi$
$828$	3.31066	−	8.30914i	0.115054	−	0.288763i
$829$	7.78791	+	0.846986i	0.270485	+	0.0294171i	0.242357	−	0.970187i	$-0.422080\pi$
$829$	7.78791	+	0.846986i	0.270485	+	0.0294171i	0.0281288	+	0.999604i	$0.491045\pi$
$830$	−8.70442	−	8.24527i	−0.302135	−	0.286197i
$831$	13.7625	−	16.2025i	0.477416	−	0.562057i
$832$	−1.59305	+	3.00481i	−0.0552290	+	0.104173i
$833$	18.4161	+	11.0806i	0.638079	+	0.383920i
$834$	−5.11248	+	2.36529i	−0.177031	+	0.0819031i
$835$	−40.4339	−	8.90018i	−1.39927	−	0.308004i
$836$	5.92925	+	11.1838i	0.205067	+	0.386798i
$837$	−0.513930	+	9.47887i	−0.0177640	+	0.327638i
$838$	20.1915	+	23.7713i	0.697504	+	0.821165i
$839$	−28.0313	+	6.17017i	−0.967749	+	0.213018i	−0.670605	−	0.741815i	$-0.733965\pi$
$839$	−28.0313	+	6.17017i	−0.967749	+	0.213018i	−0.297145	+	0.954833i	$0.596034\pi$
$840$	1.66291	−	1.26411i	0.0573757	−	0.0436159i
$841$	11.4764	−	10.8711i	0.395739	−	0.374864i
$842$	−1.01415	−	18.7049i	−0.0349499	−	0.644613i
$843$	−7.23694	+	4.35432i	−0.249253	+	0.149971i
$844$	6.71831	−	9.90876i	0.231254	−	0.341074i
$845$	0.848578	−	3.05630i	0.0291920	−	0.105140i
$846$	3.78018	−	0.411119i	0.129965	−	0.0141346i
$847$	0.416664	+	0.316740i	0.0143168	+	0.0108833i
$848$	−6.08607	−	2.81571i	−0.208996	−	0.0966920i
$849$	3.24974	+	4.79300i	0.111531	+	0.164495i
$850$	−0.342581	+	0.115429i	−0.0117504	+	0.00395919i
$851$	−11.6110	−	70.8237i	−0.398018	−	2.42780i
$852$	−1.14451	+	6.98120i	−0.0392103	+	0.239172i
$853$	−15.1361	−	5.09993i	−0.518249	−	0.174618i	0.0480084	−	0.998847i	$-0.484713\pi$
$853$	−15.1361	−	5.09993i	−0.518249	−	0.174618i	−0.566257	+	0.824229i	$0.691609\pi$
$854$	1.60578	+	5.78349i	0.0549486	+	0.197907i
$855$	−3.05028	−	7.65562i	−0.104317	−	0.261817i
$856$	−6.43321	−	16.1461i	−0.219883	−	0.551864i
$857$	0.954724	+	3.43861i	0.0326128	+	0.117461i	0.978065	−	0.208301i	$-0.0667932\pi$
$857$	0.954724	+	3.43861i	0.0326128	+	0.117461i	−0.945452	+	0.325761i	$0.894379\pi$
$858$	10.9554	+	3.69131i	0.374012	+	0.126019i
$859$	−8.90737	+	54.3326i	−0.303916	+	1.85380i	0.186686	+	0.982420i	$0.440225\pi$
$859$	−8.90737	+	54.3326i	−0.303916	+	1.85380i	−0.490601	+	0.871384i	$0.663223\pi$
$860$	1.91570	+	11.6852i	0.0653248	+	0.398463i
$861$	4.59862	−	1.54945i	0.156720	−	0.0528053i
$862$	4.52492	+	6.67375i	0.154119	+	0.227309i
$863$	−15.3036	−	7.08020i	−0.520940	−	0.241013i	0.141755	−	0.989902i	$-0.454725\pi$
$863$	−15.3036	−	7.08020i	−0.520940	−	0.241013i	−0.662695	+	0.748889i	$0.730588\pi$
$864$	−0.796093	−	0.605174i	−0.0270836	−	0.0205884i
$865$	−29.2704	+	3.18335i	−0.995223	+	0.108237i
$866$	−5.06370	+	18.2378i	−0.172072	+	0.619746i
$867$	2.59412	−	3.82605i	0.0881011	−	0.129939i
$868$	7.67769	−	4.61951i	0.260598	−	0.156796i
$869$	−0.240312	−	4.43229i	−0.00815202	−	0.150355i
$870$	−5.83536	+	5.52754i	−0.197837	+	0.187401i
$871$	−12.3627	+	9.39787i	−0.418894	+	0.318435i
$872$	−13.4231	+	2.95465i	−0.454564	+	0.100057i
$873$	1.74481	+	2.05415i	0.0590529	+	0.0695225i
$874$	−1.80327	+	33.2593i	−0.0609964	+	1.12501i
$875$	4.99267	+	9.41718i	0.168783	+	0.318359i
$876$	−10.3331	−	2.27449i	−0.349124	−	0.0768480i
$877$	−37.3966	+	17.3015i	−1.26279	+	0.584230i	−0.933018	−	0.359830i	$-0.882835\pi$
$877$	−37.3966	+	17.3015i	−1.26279	+	0.584230i	−0.329775	+	0.944060i	$0.606973\pi$
$878$	11.3235	+	6.81313i	0.382150	+	0.229932i
$879$	5.24235	−	9.88813i	0.176820	−	0.333518i
$880$	4.86984	−	5.73322i	0.164162	−	0.193267i
$881$	−9.11933	−	8.63829i	−0.307238	−	0.291031i	0.518509	−	0.855072i	$-0.326487\pi$
$881$	−9.11933	−	8.63829i	−0.307238	−	0.291031i	−0.825747	+	0.564041i	$0.809246\pi$
$882$	−6.07323	−	0.660504i	−0.204496	−	0.0222403i
$883$	13.1312	−	32.9569i	0.441902	−	1.10909i	−0.524353	−	0.851501i	$-0.675693\pi$
$883$	13.1312	−	32.9569i	0.441902	−	1.10909i	0.966255	−	0.257589i	$-0.0829279\pi$
$884$	−11.9652			−0.402433
$885$	−9.86374	+	13.8436i	−0.331566	+	0.465346i
$886$	19.7756			0.664374
$887$	5.57249	−	13.9859i	0.187106	−	0.469601i	−0.805261	−	0.592921i	$-0.797975\pi$
$887$	5.57249	−	13.9859i	0.187106	−	0.469601i	0.992367	+	0.123320i	$0.0393541\pi$
$888$	−7.97688	−	0.867538i	−0.267687	−	0.0291127i
$889$	−9.28902	−	8.79903i	−0.311544	−	0.295110i
$890$	−0.588673	+	0.693040i	−0.0197324	+	0.0232307i
$891$	−1.59221	+	3.00323i	−0.0533410	+	0.100612i
$892$	1.42258	+	0.855939i	0.0476315	+	0.0286590i
$893$	−12.8513	+	5.94565i	−0.430053	+	0.198964i
$894$	10.4294	+	2.29569i	0.348812	+	0.0767794i
$895$	−19.1908	−	36.1977i	−0.641479	−	1.20996i
$896$	−0.0511019	+	0.942519i	−0.00170720	+	0.0314874i
$897$	19.6933	+	23.1848i	0.657541	+	0.774117i
$898$	1.35654	−	0.298597i	0.0452683	−	0.00996430i
$899$	−27.4483	+	20.8657i	−0.915452	+	0.695909i
$900$	0.0745990	−	0.0706639i	0.00248663	−	0.00235546i
$901$	−1.27726	−	23.5577i	−0.0425517	−	0.784819i
$902$	14.9739	−	9.00947i	0.498575	−	0.299983i
$903$	−2.83437	+	4.18038i	−0.0943219	+	0.139114i
$904$	−0.554904	+	1.99858i	−0.0184558	+	0.0664719i
$905$	−26.7630	+	2.91065i	−0.889631	+	0.0967533i
$906$	−12.4972	−	9.50015i	−0.415193	−	0.315621i
$907$	−23.5765	−	10.9077i	−0.782846	−	0.362183i	−0.0125923	−	0.999921i	$-0.504008\pi$
$907$	−23.5765	−	10.9077i	−0.782846	−	0.362183i	−0.770254	+	0.637738i	$0.779870\pi$
$908$	−12.0753	−	17.8097i	−0.400731	−	0.591035i
$909$	4.57819	−	1.54257i	0.151849	−	0.0511639i
$910$	1.14931	+	7.01050i	0.0380993	+	0.232396i
$911$	2.10724	−	12.8536i	0.0698161	−	0.425859i	−0.928673	−	0.370901i	$-0.879049\pi$
$911$	2.10724	−	12.8536i	0.0698161	−	0.425859i	0.998489	−	0.0549585i	$-0.0175027\pi$
$912$	3.52898	+	1.18905i	0.116856	+	0.0393734i
$913$	−4.92692	−	17.7452i	−0.163057	−	0.587279i
$914$	−11.1171	−	27.9018i	−0.367721	−	0.922911i
$915$	−5.20868	−	13.0728i	−0.172194	−	0.432173i
$916$	−0.0514113	−	0.185167i	−0.00169868	−	0.00611808i
$917$	2.88764	+	0.972960i	0.0953583	+	0.0321300i
$918$	0.569175	−	3.47181i	0.0187856	−	0.114587i
$919$	9.24134	+	56.3697i	0.304844	+	1.85946i	0.483215	+	0.875502i	$0.339469\pi$
$919$	9.24134	+	56.3697i	0.304844	+	1.85946i	−0.178371	+	0.983963i	$0.557083\pi$
$920$	18.7576	−	6.32016i	0.618419	−	0.208370i
$921$	6.83113	+	10.0752i	0.225093	+	0.331988i
$922$	1.38159	+	0.639190i	0.0455001	+	0.0210506i
$923$	−19.1539	−	14.5604i	−0.630459	−	0.479262i
$924$	3.18970	−	0.346901i	0.104933	−	0.0114122i
$925$	0.220575	−	0.794438i	0.00725245	−	0.0261209i
$926$	−1.53752	+	2.26768i	−0.0505262	+	0.0745205i
$927$	14.4499	−	8.69419i	0.474596	−	0.285555i
$928$	−0.196638	−	3.62677i	−0.00645495	−	0.119055i
$929$	−24.5517	+	23.2566i	−0.805515	+	0.763024i	−0.974928	−	0.222521i	$-0.928571\pi$
$929$	−24.5517	+	23.2566i	−0.805515	+	0.763024i	0.169413	+	0.985545i	$0.445813\pi$
$930$	−16.7238	+	12.7131i	−0.548394	+	0.416878i
$931$	22.2177	−	4.89048i	0.728155	−	0.160279i
$932$	15.8945	+	18.7125i	0.520642	+	0.612947i
$933$	−0.557445	+	10.2815i	−0.0182499	+	0.336600i
$934$	11.4989	+	21.6892i	0.376256	+	0.709694i
$935$	25.8460	+	5.68912i	0.845253	+	0.186054i
$936$	3.08665	−	1.42803i	0.100890	−	0.0466768i
$937$	12.7805	+	7.68974i	0.417519	+	0.251213i	0.708778	−	0.705431i	$-0.249247\pi$
$937$	12.7805	+	7.68974i	0.417519	+	0.251213i	−0.291259	+	0.956644i	$0.594074\pi$
$938$	−2.01882	+	3.80790i	−0.0659168	+	0.124332i
$939$	−9.37169	+	11.0332i	−0.305834	+	0.360055i
$940$	6.10907	+	5.78682i	0.199256	+	0.188745i
$941$	−31.5343	−	3.42956i	−1.02799	−	0.111801i	−0.421448	−	0.906853i	$-0.638478\pi$
$941$	−31.5343	−	3.42956i	−1.02799	−	0.111801i	−0.606541	+	0.795052i	$0.707443\pi$
$942$	2.53709	−	6.36761i	0.0826628	−	0.207468i
$943$	45.9834			1.49743
$944$	−1.88226	−	7.44695i	−0.0612623	−	0.242378i
$945$	−2.08883			−0.0679497
$946$	−6.73225	+	16.8967i	−0.218884	+	0.549358i
$947$	−30.4364	−	3.31015i	−0.989049	−	0.107566i	−0.400731	−	0.916196i	$-0.631244\pi$
$947$	−30.4364	−	3.31015i	−0.989049	−	0.107566i	−0.588317	+	0.808630i	$0.700209\pi$
$948$	−0.948035	−	0.898026i	−0.0307907	−	0.0291665i
$949$	23.2956	−	27.4257i	0.756207	−	0.890276i
$950$	−0.179235	+	0.338074i	−0.00581516	+	0.0109686i
$951$	3.04509	+	1.83217i	0.0987438	+	0.0594122i
$952$	−3.01388	+	1.39437i	−0.0976804	+	0.0451918i
$953$	34.3345	+	7.55759i	1.11220	+	0.244814i	0.732818	−	0.680425i	$-0.238205\pi$
$953$	34.3345	+	7.55759i	1.11220	+	0.244814i	0.379384	+	0.925239i	$0.376136\pi$
$954$	3.14108	+	5.92470i	0.101696	+	0.191819i
$955$	−1.74563	+	32.1963i	−0.0564874	+	1.04185i
$956$	15.0901	+	17.7654i	0.488048	+	0.574574i
$957$	−12.0575	+	2.65407i	−0.389765	+	0.0857938i
$958$	−20.1943	+	15.3513i	−0.652447	+	0.495978i
$959$	−2.23119	+	2.11349i	−0.0720488	+	0.0682483i
$960$	−0.119808	−	2.20973i	−0.00386678	−	0.0713186i
$961$	−50.6516	+	30.4760i	−1.63392	+	0.983098i
$962$	15.3143	−	22.5870i	0.493754	−	0.728233i
$963$	−4.64979	+	16.7470i	−0.149837	+	0.539666i
$964$	21.0449	−	2.28877i	0.677812	−	0.0737165i
$965$	−8.29202	−	6.30343i	−0.266930	−	0.202915i
$966$	7.66234	+	3.54498i	0.246532	+	0.114058i
$967$	−32.2402	−	47.5507i	−1.03677	−	1.52913i	−0.835422	−	0.549609i	$-0.814777\pi$
$967$	−32.2402	−	47.5507i	−1.03677	−	1.52913i	−0.201352	−	0.979519i	$-0.564534\pi$
$968$	0.525465	−	0.177050i	0.0168891	−	0.00569060i
$969$	2.11956	+	12.9287i	0.0680900	+	0.415331i
$970$	−0.964920	+	5.88575i	−0.0309817	+	0.188980i
$971$	39.5594	+	13.3291i	1.26952	+	0.427752i	0.871849	−	0.489775i	$-0.162921\pi$
$971$	39.5594	+	13.3291i	1.26952	+	0.427752i	0.397674	+	0.917527i	$0.369817\pi$
$972$	0.267528	+	0.963550i	0.00858098	+	0.0309059i
$973$	−1.96807	−	4.93948i	−0.0630934	−	0.158353i
$974$	−4.90176	−	12.3025i	−0.157062	−	0.394197i
$975$	0.0934917	+	0.336727i	0.00299413	+	0.0107839i
$976$	6.02611	+	2.03043i	0.192891	+	0.0649926i
$977$	7.46921	−	45.5602i	0.238961	−	1.45760i	−0.545860	−	0.837876i	$-0.683797\pi$
$977$	7.46921	−	45.5602i	0.238961	−	1.45760i	0.784821	−	0.619722i	$-0.212755\pi$
$978$	−0.689294	−	4.20451i	−0.0220412	−	0.134445i
$979$	−1.32361	+	0.445976i	−0.0423027	+	0.0142534i
$980$	−7.58677	−	11.1897i	−0.242351	−	0.357440i
$981$	12.4741	+	5.77114i	0.398268	+	0.184258i
$982$	−0.452188	−	0.343745i	−0.0144299	−	0.0109693i
$983$	32.9762	−	3.58637i	1.05178	−	0.114388i	0.434135	−	0.900848i	$-0.357054\pi$
$983$	32.9762	−	3.58637i	1.05178	−	0.114388i	0.617641	+	0.786460i	$0.288088\pi$
$984$	1.37537	−	4.95364i	0.0438452	−	0.157916i
$985$	−6.02642	+	8.88830i	−0.192018	+	0.283205i
$986$	10.9492	−	6.58790i	0.348693	−	0.209801i
$987$	0.194313	+	3.58390i	0.00618506	+	0.114077i
$988$	−9.19470	+	8.70969i	−0.292522	+	0.277092i
$989$	−38.1010	+	28.9636i	−1.21154	+	0.920989i
$990$	−7.34644	+	1.61707i	−0.233485	+	0.0513940i
$991$	31.9126	+	37.5704i	1.01374	+	1.19346i	0.981002	+	0.193999i	$0.0621459\pi$
$991$	31.9126	+	37.5704i	1.01374	+	1.19346i	0.0327351	+	0.999464i	$0.489578\pi$
$992$	0.513930	−	9.47887i	0.0163173	−	0.300955i
$993$	2.73508	+	5.15891i	0.0867952	+	0.163713i
$994$	−6.52143	−	1.43548i	−0.206847	−	0.0455305i
$995$	20.9156	−	9.67660i	0.663070	−	0.306769i
$996$	−4.64236	−	2.79321i	−0.147099	−	0.0885063i
$997$	22.8601	−	43.1187i	0.723986	−	1.36558i	−0.198711	−	0.980058i	$-0.563676\pi$
$997$	22.8601	−	43.1187i	0.723986	−	1.36558i	0.922697	−	0.385525i	$-0.125980\pi$
$998$	11.4079	−	13.4304i	0.361110	−	0.425131i
$999$	5.82533	+	5.51804i	0.184305	+	0.174583i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	354.2.e.d.49.1	✓	84
59.53	even	29	inner	354.2.e.d.289.1	yes	84

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
354.2.e.d.49.1	✓	84	1.1	even	1	trivial
354.2.e.d.289.1	yes	84	59.53	even	29	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 354 = 2 \cdot 3 \cdot 59 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	354.e (of order \(29\), degree \(28\), minimal)

\(f(q)\)	\(=\)	\(q+(0.370138 - 0.928977i) q^{2} +(-0.994138 - 0.108119i) q^{3} +(-0.725995 - 0.687699i) q^{4} +(-1.43265 + 1.68664i) q^{5} +(-0.468408 + 0.883512i) q^{6} +(-0.808791 - 0.486633i) q^{7} +(-0.907575 + 0.419889i) q^{8} +(0.976621 + 0.214970i) q^{9} +O(q^{10})\)	\(q+(0.370138 - 0.928977i) q^{2} +(-0.994138 - 0.108119i) q^{3} +(-0.725995 - 0.687699i) q^{4} +(-1.43265 + 1.68664i) q^{5} +(-0.468408 + 0.883512i) q^{6} +(-0.808791 - 0.486633i) q^{7} +(-0.907575 + 0.419889i) q^{8} +(0.976621 + 0.214970i) q^{9} +(1.03657 + 1.95519i) q^{10} +(-0.184028 + 3.39420i) q^{11} +(0.647386 + 0.762162i) q^{12} +(-3.32147 + 0.731110i) q^{13} +(-0.751435 + 0.571226i) q^{14} +(1.60661 - 1.52186i) q^{15} +(0.0541389 + 0.998533i) q^{16} +(-3.01456 + 1.81380i) q^{17} +(0.561187 - 0.827689i) q^{18} +(-0.996252 + 3.58818i) q^{19} +(2.20000 - 0.239264i) q^{20} +(0.751435 + 0.571226i) q^{21} +(3.08502 + 1.42728i) q^{22} +(5.01948 + 7.40318i) q^{23} +(0.947653 - 0.319302i) q^{24} +(0.0166238 + 0.101400i) q^{25} +(-0.550217 + 3.35618i) q^{26} +(-0.947653 - 0.319302i) q^{27} +(0.252521 + 0.909498i) q^{28} +(-1.34438 - 3.37413i) q^{29} +(-0.819105 - 2.05580i) q^{30} +(-2.53959 - 9.14678i) q^{31} +(0.947653 + 0.319302i) q^{32} +(0.549928 - 3.35441i) q^{33} +(0.569175 + 3.47181i) q^{34} +(1.97949 - 0.666968i) q^{35} +(-0.561187 - 0.827689i) q^{36} +(-7.28231 - 3.36916i) q^{37} +(2.96458 + 2.25362i) q^{38} +(3.38104 - 0.367711i) q^{39} +(0.592033 - 2.13231i) q^{40} +(2.88508 - 4.25517i) q^{41} +(0.808791 - 0.486633i) q^{42} +(0.289688 + 5.34298i) q^{43} +(2.46780 - 2.33762i) q^{44} +(-1.76173 + 1.33923i) q^{45} +(8.73528 - 1.92278i) q^{46} +(2.46166 + 2.89809i) q^{47} +(0.0541389 - 0.998533i) q^{48} +(-2.86153 - 5.39742i) q^{49} +(0.100352 + 0.0220891i) q^{50} +(3.19299 - 1.47724i) q^{51} +(2.91415 + 1.75339i) q^{52} +(-3.14108 + 5.92470i) q^{53} +(-0.647386 + 0.762162i) q^{54} +(-5.46116 - 5.17309i) q^{55} +(0.938371 + 0.102054i) q^{56} +(1.37836 - 3.45943i) q^{57} -3.63210 q^{58} +(-7.53793 + 1.47633i) q^{59} -2.21297 q^{60} +(2.35370 - 5.90735i) q^{61} +(-9.43715 - 1.02635i) q^{62} +(-0.685270 - 0.649122i) q^{63} +(0.647386 - 0.762162i) q^{64} +(3.52537 - 6.64956i) q^{65} +(-2.91262 - 1.75247i) q^{66} +(4.14407 - 1.91725i) q^{67} +(3.43591 + 0.756300i) q^{68} +(-4.18963 - 7.90248i) q^{69} +(0.113087 - 2.08577i) q^{70} +(4.57987 + 5.39184i) q^{71} +(-0.976621 + 0.214970i) q^{72} +(-8.42306 + 6.40304i) q^{73} +(-5.82533 + 5.51804i) q^{74} +(-0.00556299 - 0.102603i) q^{75} +(3.19086 - 1.91988i) q^{76} +(1.80057 - 2.65565i) q^{77} +(0.909859 - 3.27702i) q^{78} +(-1.29819 + 0.141186i) q^{79} +(-1.76173 - 1.33923i) q^{80} +(0.907575 + 0.419889i) q^{81} +(-2.88508 - 4.25517i) q^{82} +(-5.13428 + 1.72994i) q^{83} +(-0.152707 - 0.931469i) q^{84} +(1.25957 - 7.68302i) q^{85} +(5.07073 + 1.70853i) q^{86} +(0.971689 + 3.49971i) q^{87} +(-1.25817 - 3.15777i) q^{88} +(0.152089 + 0.381715i) q^{89} +(0.592033 + 2.13231i) q^{90} +(3.04216 + 1.02502i) q^{91} +(1.44704 - 8.82657i) q^{92} +(1.53576 + 9.36774i) q^{93} +(3.60342 - 1.21413i) q^{94} +(-4.62470 - 6.82092i) q^{95} +(-0.907575 - 0.419889i) q^{96} +(2.14560 + 1.63104i) q^{97} +(-6.07323 + 0.660504i) q^{98} +(-0.909380 + 3.27529i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 84 q + 3 q^{2} - 3 q^{3} - 3 q^{4} - 2 q^{5} + 3 q^{6} - 7 q^{7} + 3 q^{8} - 3 q^{9}+O(q^{10}) \) 84 * q + 3 * q^2 - 3 * q^3 - 3 * q^4 - 2 * q^5 + 3 * q^6 - 7 * q^7 + 3 * q^8 - 3 * q^9	\( 84 q + 3 q^{2} - 3 q^{3} - 3 q^{4} - 2 q^{5} + 3 q^{6} - 7 q^{7} + 3 q^{8} - 3 q^{9} + 2 q^{10} + 30 q^{11} - 3 q^{12} - 3 q^{13} + 7 q^{14} - 2 q^{15} - 3 q^{16} + 3 q^{17} + 3 q^{18} - 4 q^{19} - 2 q^{20} - 7 q^{21} - q^{22} + 2 q^{23} + 3 q^{24} - 67 q^{25} + 32 q^{26} - 3 q^{27} - 7 q^{28} + 4 q^{29} + 2 q^{30} - 6 q^{31} + 3 q^{32} + q^{33} + 26 q^{34} + 79 q^{35} - 3 q^{36} + 55 q^{37} + 4 q^{38} - 3 q^{39} + 2 q^{40} + q^{41} + 7 q^{42} + 51 q^{43} + q^{44} - 2 q^{45} - 31 q^{46} - 62 q^{47} - 3 q^{48} - 70 q^{49} + 9 q^{50} + 3 q^{51} - 32 q^{52} - 27 q^{53} + 3 q^{54} - 83 q^{55} + 7 q^{56} - 4 q^{57} - 120 q^{58} - 55 q^{59} + 56 q^{60} - 46 q^{61} - 23 q^{62} - 7 q^{63} - 3 q^{64} - 121 q^{65} - q^{66} + 8 q^{67} - 26 q^{68} - 27 q^{69} - 50 q^{70} - 61 q^{71} + 3 q^{72} + 49 q^{73} - 26 q^{74} - 9 q^{75} + 25 q^{76} + 77 q^{77} + 3 q^{78} - 5 q^{79} - 2 q^{80} - 3 q^{81} - q^{82} + 75 q^{83} - 7 q^{84} + 189 q^{85} + 65 q^{86} - 25 q^{87} - 30 q^{88} + 54 q^{89} + 2 q^{90} - 161 q^{91} + 2 q^{92} + 23 q^{93} + 33 q^{94} - 54 q^{95} + 3 q^{96} + 28 q^{97} + 12 q^{98} + q^{99}+O(q^{100}) \) 84 * q + 3 * q^2 - 3 * q^3 - 3 * q^4 - 2 * q^5 + 3 * q^6 - 7 * q^7 + 3 * q^8 - 3 * q^9 + 2 * q^10 + 30 * q^11 - 3 * q^12 - 3 * q^13 + 7 * q^14 - 2 * q^15 - 3 * q^16 + 3 * q^17 + 3 * q^18 - 4 * q^19 - 2 * q^20 - 7 * q^21 - q^22 + 2 * q^23 + 3 * q^24 - 67 * q^25 + 32 * q^26 - 3 * q^27 - 7 * q^28 + 4 * q^29 + 2 * q^30 - 6 * q^31 + 3 * q^32 + q^33 + 26 * q^34 + 79 * q^35 - 3 * q^36 + 55 * q^37 + 4 * q^38 - 3 * q^39 + 2 * q^40 + q^41 + 7 * q^42 + 51 * q^43 + q^44 - 2 * q^45 - 31 * q^46 - 62 * q^47 - 3 * q^48 - 70 * q^49 + 9 * q^50 + 3 * q^51 - 32 * q^52 - 27 * q^53 + 3 * q^54 - 83 * q^55 + 7 * q^56 - 4 * q^57 - 120 * q^58 - 55 * q^59 + 56 * q^60 - 46 * q^61 - 23 * q^62 - 7 * q^63 - 3 * q^64 - 121 * q^65 - q^66 + 8 * q^67 - 26 * q^68 - 27 * q^69 - 50 * q^70 - 61 * q^71 + 3 * q^72 + 49 * q^73 - 26 * q^74 - 9 * q^75 + 25 * q^76 + 77 * q^77 + 3 * q^78 - 5 * q^79 - 2 * q^80 - 3 * q^81 - q^82 + 75 * q^83 - 7 * q^84 + 189 * q^85 + 65 * q^86 - 25 * q^87 - 30 * q^88 + 54 * q^89 + 2 * q^90 - 161 * q^91 + 2 * q^92 + 23 * q^93 + 33 * q^94 - 54 * q^95 + 3 * q^96 + 28 * q^97 + 12 * q^98 + q^99

Introduction

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