LMFDB - Embedded newform 190.2.k.d.111.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [190,2,Mod(61,190)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(190, base_ring=CyclotomicField(18))

chi = DirichletCharacter(H, H._module([0, 2]))

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

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

chi := DirichletCharacter("190.61");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 190 = 2 \cdot 5 \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	190.k (of order $9$, 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:	$1.51715763840$
Analytic rank:	$0$
Dimension:	$18$
Relative dimension:	$3$ over $\Q(\zeta_{9})$
Coefficient field:	$\mathbb{Q}[x]/(x^{18} + \cdots)$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{18} + 24 x^{16} - 12 x^{15} + 393 x^{14} - 222 x^{13} + 3518 x^{12} - 2478 x^{11} + 22809 x^{10} + \cdots + 64 $ x^18 + 24x^16 - 12x^15 + 393x^14 - 222x^13 + 3518x^12 - 2478x^11 + 22809x^10 - 12862x^9 + 77397x^8 - 24822x^7 + 178501x^6 - 39408x^5 + 132588x^4 + 45584x^3 + 50640x^2 + 1824x + 64
Coefficient ring:	$\Z[a_1, a_2, a_3]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label			111.1
Root			$-0.897451 + 1.55443i$ of defining polynomial
Character	$\chi$	$=$	190.111
Dual form			190.2.k.d.101.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.766044 - 0.642788i) q^{2} +(-1.68666 + 0.613893i) q^{3} +(0.173648 + 0.984808i) q^{4} +(0.173648 - 0.984808i) q^{5} +(1.68666 + 0.613893i) q^{6} +(-0.680736 - 1.17907i) q^{7} +(0.500000 - 0.866025i) q^{8} +(0.169813 - 0.142490i) q^{9} +O(q^{10})$	\(q+(-0.766044 - 0.642788i) q^{2} +(-1.68666 + 0.613893i) q^{3} +(0.173648 + 0.984808i) q^{4} +(0.173648 - 0.984808i) q^{5} +(1.68666 + 0.613893i) q^{6} +(-0.680736 - 1.17907i) q^{7} +(0.500000 - 0.866025i) q^{8} +(0.169813 - 0.142490i) q^{9} +(-0.766044 + 0.642788i) q^{10} +(-3.22960 + 5.59384i) q^{11} +(-0.897451 - 1.55443i) q^{12} +(-5.52256 - 2.01005i) q^{13} +(-0.236417 + 1.34079i) q^{14} +(0.311682 + 1.76763i) q^{15} +(-0.939693 + 0.342020i) q^{16} +(-1.96020 - 1.64480i) q^{17} -0.221676 q^{18} +(-3.83851 - 2.06538i) q^{19} +1.00000 q^{20} +(1.87199 + 1.57079i) q^{21} +(6.06967 - 2.20918i) q^{22} +(1.46285 + 8.29626i) q^{23} +(-0.311682 + 1.76763i) q^{24} +(-0.939693 - 0.342020i) q^{25} +(2.93849 + 5.08962i) q^{26} +(2.49341 - 4.31871i) q^{27} +(1.04295 - 0.875137i) q^{28} +(3.41558 - 2.86601i) q^{29} +(0.897451 - 1.55443i) q^{30} +(0.701264 + 1.21462i) q^{31} +(0.939693 + 0.342020i) q^{32} +(2.01322 - 11.4175i) q^{33} +(0.444341 + 2.51998i) q^{34} +(-1.27936 + 0.465651i) q^{35} +(0.169813 + 0.142490i) q^{36} -4.42962 q^{37} +(1.61287 + 4.04953i) q^{38} +10.5486 q^{39} +(-0.766044 - 0.642788i) q^{40} +(5.15407 - 1.87593i) q^{41} +(-0.424346 - 2.40658i) q^{42} +(1.19018 - 6.74986i) q^{43} +(-6.06967 - 2.20918i) q^{44} +(-0.110838 - 0.191977i) q^{45} +(4.21212 - 7.29560i) q^{46} +(-7.29140 + 6.11821i) q^{47} +(1.37498 - 1.15374i) q^{48} +(2.57320 - 4.45691i) q^{49} +(0.500000 + 0.866025i) q^{50} +(4.31591 + 1.57086i) q^{51} +(1.02053 - 5.78770i) q^{52} +(0.768506 + 4.35841i) q^{53} +(-4.68608 + 1.70559i) q^{54} +(4.94804 + 4.15190i) q^{55} -1.36147 q^{56} +(7.74218 + 1.12716i) q^{57} -4.45872 q^{58} +(-7.87687 - 6.60948i) q^{59} +(-1.68666 + 0.613893i) q^{60} +(1.12233 + 6.36503i) q^{61} +(0.243546 - 1.38122i) q^{62} +(-0.283604 - 0.103223i) q^{63} +(-0.500000 - 0.866025i) q^{64} +(-2.93849 + 5.08962i) q^{65} +(-8.88125 + 7.45226i) q^{66} +(-5.14753 + 4.31929i) q^{67} +(1.27943 - 2.21604i) q^{68} +(-7.56034 - 13.0949i) q^{69} +(1.27936 + 0.465651i) q^{70} +(0.336459 - 1.90815i) q^{71} +(-0.0384936 - 0.218308i) q^{72} +(5.90451 - 2.14907i) q^{73} +(3.39328 + 2.84730i) q^{74} +1.79490 q^{75} +(1.36746 - 4.13885i) q^{76} +8.79403 q^{77} +(-8.08071 - 6.78052i) q^{78} +(3.37355 - 1.22787i) q^{79} +(0.173648 + 0.984808i) q^{80} +(-1.66978 + 9.46980i) q^{81} +(-5.15407 - 1.87593i) q^{82} +(6.74970 + 11.6908i) q^{83} +(-1.22185 + 2.11631i) q^{84} +(-1.96020 + 1.64480i) q^{85} +(-5.25046 + 4.40566i) q^{86} +(-4.00148 + 6.93077i) q^{87} +(3.22960 + 5.59384i) q^{88} +(1.78165 + 0.648469i) q^{89} +(-0.0384936 + 0.218308i) q^{90} +(1.38942 + 7.87979i) q^{91} +(-7.91619 + 2.88126i) q^{92} +(-1.92844 - 1.61815i) q^{93} +9.51825 q^{94} +(-2.70056 + 3.42155i) q^{95} -1.79490 q^{96} +(-0.0945771 - 0.0793596i) q^{97} +(-4.83603 + 1.76017i) q^{98} +(0.248638 + 1.41010i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 18 q + 9 q^{8} - 18 q^{9}+O(q^{10}) $ 18 * q + 9 * q^8 - 18 * q^9	$ 18 q + 9 q^{8} - 18 q^{9} - 12 q^{11} - 6 q^{13} + 6 q^{14} - 42 q^{18} + 18 q^{20} + 12 q^{21} - 3 q^{22} + 9 q^{23} - 9 q^{26} - 18 q^{27} + 3 q^{28} - 6 q^{29} - 6 q^{31} + 66 q^{33} + 18 q^{34} + 3 q^{35} - 18 q^{36} - 12 q^{37} - 6 q^{38} + 48 q^{39} - 21 q^{41} + 42 q^{42} + 18 q^{43} + 3 q^{44} - 21 q^{45} + 18 q^{46} - 54 q^{47} - 39 q^{49} + 9 q^{50} + 42 q^{51} + 12 q^{52} - 24 q^{53} - 54 q^{54} - 6 q^{55} - 18 q^{57} - 30 q^{59} + 48 q^{61} - 30 q^{62} - 57 q^{63} - 9 q^{64} + 9 q^{65} + 24 q^{66} - 6 q^{67} - 6 q^{68} - 30 q^{69} - 3 q^{70} + 30 q^{71} + 6 q^{73} - 3 q^{74} - 21 q^{76} + 30 q^{77} - 24 q^{78} + 30 q^{79} + 18 q^{81} + 21 q^{82} + 6 q^{83} + 6 q^{84} + 36 q^{86} + 24 q^{87} + 12 q^{88} + 30 q^{89} - 60 q^{91} - 18 q^{92} - 12 q^{93} + 6 q^{94} - 12 q^{95} - 12 q^{97} - 18 q^{98} + 171 q^{99}+O(q^{100}) $ 18 * q + 9 * q^8 - 18 * q^9 - 12 * q^11 - 6 * q^13 + 6 * q^14 - 42 * q^18 + 18 * q^20 + 12 * q^21 - 3 * q^22 + 9 * q^23 - 9 * q^26 - 18 * q^27 + 3 * q^28 - 6 * q^29 - 6 * q^31 + 66 * q^33 + 18 * q^34 + 3 * q^35 - 18 * q^36 - 12 * q^37 - 6 * q^38 + 48 * q^39 - 21 * q^41 + 42 * q^42 + 18 * q^43 + 3 * q^44 - 21 * q^45 + 18 * q^46 - 54 * q^47 - 39 * q^49 + 9 * q^50 + 42 * q^51 + 12 * q^52 - 24 * q^53 - 54 * q^54 - 6 * q^55 - 18 * q^57 - 30 * q^59 + 48 * q^61 - 30 * q^62 - 57 * q^63 - 9 * q^64 + 9 * q^65 + 24 * q^66 - 6 * q^67 - 6 * q^68 - 30 * q^69 - 3 * q^70 + 30 * q^71 + 6 * q^73 - 3 * q^74 - 21 * q^76 + 30 * q^77 - 24 * q^78 + 30 * q^79 + 18 * q^81 + 21 * q^82 + 6 * q^83 + 6 * q^84 + 36 * q^86 + 24 * q^87 + 12 * q^88 + 30 * q^89 - 60 * q^91 - 18 * q^92 - 12 * q^93 + 6 * q^94 - 12 * q^95 - 12 * q^97 - 18 * q^98 + 171 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/190\mathbb{Z}\right)^\times$.

$n$	$21$	$77$
$\chi(n)$	$e\left(\frac{2}{9}\right)$	$1$

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 $

$2$	−0.766044	−	0.642788i	−0.541675	−	0.454519i
$2$	−0.766044	−	0.642788i	−0.541675	−	0.454519i
$3$	−1.68666	+	0.613893i	−0.973792	+	0.354431i	−0.779423	−	0.626497i	$-0.784488\pi$
$3$	−1.68666	+	0.613893i	−0.973792	+	0.354431i	−0.194368	+	0.980929i	$0.562266\pi$
$4$	0.173648	+	0.984808i	0.0868241	+	0.492404i
$5$	0.173648	−	0.984808i	0.0776578	−	0.440419i
$5$	0.173648	−	0.984808i	0.0776578	−	0.440419i
$6$	1.68666	+	0.613893i	0.688575	+	0.250621i
$7$	−0.680736	−	1.17907i	−0.257294	−	0.445646i	0.708222	−	0.705990i	$-0.249498\pi$
$7$	−0.680736	−	1.17907i	−0.257294	−	0.445646i	−0.965516	+	0.260343i	$0.916164\pi$
$8$	0.500000	−	0.866025i	0.176777	−	0.306186i
$9$	0.169813	−	0.142490i	0.0566045	−	0.0474968i
$10$	−0.766044	+	0.642788i	−0.242245	+	0.203267i
$11$	−3.22960	+	5.59384i	−0.973762	+	1.68661i	−0.289803	+	0.957086i	$0.593590\pi$
$11$	−3.22960	+	5.59384i	−0.973762	+	1.68661i	−0.683960	+	0.729520i	$0.739744\pi$
$12$	−0.897451	−	1.55443i	−0.259072	−	0.448726i
$13$	−5.52256	−	2.01005i	−1.53168	−	0.557487i	−0.567650	−	0.823270i	$-0.692147\pi$
$13$	−5.52256	−	2.01005i	−1.53168	−	0.557487i	−0.964033	+	0.265784i	$0.914369\pi$
$14$	−0.236417	+	1.34079i	−0.0631851	+	0.358341i
$15$	0.311682	+	1.76763i	0.0804758	+	0.456401i
$16$	−0.939693	+	0.342020i	−0.234923	+	0.0855050i
$17$	−1.96020	−	1.64480i	−0.475418	−	0.398923i	0.373348	−	0.927691i	$-0.378210\pi$
$17$	−1.96020	−	1.64480i	−0.475418	−	0.398923i	−0.848766	+	0.528768i	$0.822654\pi$
$18$	−0.221676			−0.0522494
$19$	−3.83851	−	2.06538i	−0.880615	−	0.473832i
$19$	−3.83851	−	2.06538i	−0.880615	−	0.473832i
$20$	1.00000			0.223607
$21$	1.87199	+	1.57079i	0.408502	+	0.342774i
$22$	6.06967	−	2.20918i	1.29406	−	0.470999i
$23$	1.46285	+	8.29626i	0.305026	+	1.72989i	0.623382	+	0.781918i	$0.285758\pi$
$23$	1.46285	+	8.29626i	0.305026	+	1.72989i	−0.318356	+	0.947971i	$0.603131\pi$
$24$	−0.311682	+	1.76763i	−0.0636217	+	0.360817i
$25$	−0.939693	−	0.342020i	−0.187939	−	0.0684040i
$26$	2.93849	+	5.08962i	0.576286	+	0.998156i
$27$	2.49341	−	4.31871i	0.479857	−	0.831137i
$28$	1.04295	−	0.875137i	0.197099	−	0.165385i
$29$	3.41558	−	2.86601i	0.634257	−	0.532205i	−0.267992	−	0.963421i	$-0.586360\pi$
$29$	3.41558	−	2.86601i	0.634257	−	0.532205i	0.902248	+	0.431217i	$0.141916\pi$
$30$	0.897451	−	1.55443i	0.163851	−	0.283799i
$31$	0.701264	+	1.21462i	0.125951	+	0.218153i	0.922104	−	0.386942i	$-0.126469\pi$
$31$	0.701264	+	1.21462i	0.125951	+	0.218153i	−0.796153	+	0.605095i	$0.793135\pi$
$32$	0.939693	+	0.342020i	0.166116	+	0.0604612i
$33$	2.01322	−	11.4175i	0.350456	−	1.98753i
$34$	0.444341	+	2.51998i	0.0762038	+	0.432173i
$35$	−1.27936	+	0.465651i	−0.216252	+	0.0787093i
$36$	0.169813	+	0.142490i	0.0283022	+	0.0237484i
$37$	−4.42962			−0.728225			−0.364112	−	0.931355i	$-0.618628\pi$
$37$	−4.42962			−0.728225			−0.364112	+	0.931355i	$0.618628\pi$
$38$	1.61287	+	4.04953i	0.261642	+	0.656920i
$39$	10.5486			1.68913
$40$	−0.766044	−	0.642788i	−0.121122	−	0.101634i
$41$	5.15407	−	1.87593i	0.804931	−	0.292971i	0.0934025	−	0.995628i	$-0.470226\pi$
$41$	5.15407	−	1.87593i	0.804931	−	0.292971i	0.711528	+	0.702658i	$0.248003\pi$
$42$	−0.424346	−	2.40658i	−0.0654780	−	0.371344i
$43$	1.19018	−	6.74986i	0.181501	−	1.02934i	−0.748868	−	0.662719i	$-0.769402\pi$
$43$	1.19018	−	6.74986i	0.181501	−	1.02934i	0.930369	−	0.366625i	$-0.119487\pi$
$44$	−6.06967	−	2.20918i	−0.915037	−	0.333046i
$45$	−0.110838	−	0.191977i	−0.0165227	−	0.0286182i
$46$	4.21212	−	7.29560i	0.621043	−	1.07568i
$47$	−7.29140	+	6.11821i	−1.06356	+	0.892433i	−0.994454	−	0.105176i	$-0.966459\pi$
$47$	−7.29140	+	6.11821i	−1.06356	+	0.892433i	−0.0691065	+	0.997609i	$0.522015\pi$
$48$	1.37498	−	1.15374i	0.198461	−	0.166528i
$49$	2.57320	−	4.45691i	0.367600	−	0.636701i
$50$	0.500000	+	0.866025i	0.0707107	+	0.122474i
$51$	4.31591	+	1.57086i	0.604349	+	0.219965i
$52$	1.02053	−	5.78770i	0.141522	−	0.802610i
$53$	0.768506	+	4.35841i	0.105562	+	0.598674i	0.990994	+	0.133905i	$0.0427516\pi$
$53$	0.768506	+	4.35841i	0.105562	+	0.598674i	−0.885432	+	0.464769i	$0.846137\pi$
$54$	−4.68608	+	1.70559i	−0.637695	+	0.232102i
$55$	4.94804	+	4.15190i	0.667194	+	0.559842i
$56$	−1.36147			−0.181934
$57$	7.74218	+	1.12716i	1.02548	+	0.149296i
$58$	−4.45872			−0.585458
$59$	−7.87687	−	6.60948i	−1.02548	−	0.860481i	−0.0351753	−	0.999381i	$-0.511199\pi$
$59$	−7.87687	−	6.60948i	−1.02548	−	0.860481i	−0.990306	+	0.138900i	$0.955643\pi$
$60$	−1.68666	+	0.613893i	−0.217746	+	0.0792532i
$61$	1.12233	+	6.36503i	0.143699	+	0.814958i	0.968402	+	0.249393i	$0.0802310\pi$
$61$	1.12233	+	6.36503i	0.143699	+	0.814958i	−0.824703	+	0.565566i	$0.808658\pi$
$62$	0.243546	−	1.38122i	0.0309304	−	0.175415i
$63$	−0.283604	−	0.103223i	−0.0357307	−	0.0130049i
$64$	−0.500000	−	0.866025i	−0.0625000	−	0.108253i
$65$	−2.93849	+	5.08962i	−0.364475	+	0.631289i
$66$	−8.88125	+	7.45226i	−1.09321	+	0.917309i
$67$	−5.14753	+	4.31929i	−0.628871	+	0.527685i	−0.900578	−	0.434695i	$-0.856856\pi$
$67$	−5.14753	+	4.31929i	−0.628871	+	0.527685i	0.271707	+	0.962380i	$0.412412\pi$
$68$	1.27943	−	2.21604i	0.155153	−	0.268734i
$69$	−7.56034	−	13.0949i	−0.910158	−	1.57644i
$70$	1.27936	+	0.465651i	0.152913	+	0.0556559i
$71$	0.336459	−	1.90815i	0.0399303	−	0.226456i	−0.958312	−	0.285725i	$-0.907766\pi$
$71$	0.336459	−	1.90815i	0.0399303	−	0.226456i	0.998242	+	0.0592685i	$0.0188768\pi$
$72$	−0.0384936	−	0.218308i	−0.00453651	−	0.0257278i
$73$	5.90451	−	2.14907i	0.691071	−	0.251529i	0.0274772	−	0.999622i	$-0.491253\pi$
$73$	5.90451	−	2.14907i	0.691071	−	0.251529i	0.663594	+	0.748093i	$0.269030\pi$
$74$	3.39328	+	2.84730i	0.394461	+	0.330992i
$75$	1.79490			0.207258
$76$	1.36746	−	4.13885i	0.156858	−	0.474758i
$77$	8.79403			1.00217
$78$	−8.08071	−	6.78052i	−0.914960	−	0.767743i
$79$	3.37355	−	1.22787i	0.379554	−	0.138146i	−0.145195	−	0.989403i	$-0.546381\pi$
$79$	3.37355	−	1.22787i	0.379554	−	0.138146i	0.524750	+	0.851257i	$0.324159\pi$
$80$	0.173648	+	0.984808i	0.0194145	+	0.110105i
$81$	−1.66978	+	9.46980i	−0.185531	+	1.05220i
$82$	−5.15407	−	1.87593i	−0.569172	−	0.207162i
$83$	6.74970	+	11.6908i	0.740876	+	1.28323i	0.952097	+	0.305797i	$0.0989228\pi$
$83$	6.74970	+	11.6908i	0.740876	+	1.28323i	−0.211221	+	0.977438i	$0.567744\pi$
$84$	−1.22185	+	2.11631i	−0.133315	+	0.230909i
$85$	−1.96020	+	1.64480i	−0.212613	+	0.178404i
$86$	−5.25046	+	4.40566i	−0.566172	+	0.475074i
$87$	−4.00148	+	6.93077i	−0.429004	+	0.743057i
$88$	3.22960	+	5.59384i	0.344277	+	0.596305i
$89$	1.78165	+	0.648469i	0.188855	+	0.0687376i	0.434716	−	0.900567i	$-0.356849\pi$
$89$	1.78165	+	0.648469i	0.188855	+	0.0687376i	−0.245861	+	0.969305i	$0.579071\pi$
$90$	−0.0384936	+	0.218308i	−0.00405758	+	0.0230117i
$91$	1.38942	+	7.87979i	0.145651	+	0.826026i
$92$	−7.91619	+	2.88126i	−0.825320	+	0.300392i
$93$	−1.92844	−	1.61815i	−0.199970	−	0.167795i
$94$	9.51825			0.981732
$95$	−2.70056	+	3.42155i	−0.277071	+	0.351043i
$96$	−1.79490			−0.183191
$97$	−0.0945771	−	0.0793596i	−0.00960285	−	0.00805774i	0.637974	−	0.770058i	$-0.279773\pi$
$97$	−0.0945771	−	0.0793596i	−0.00960285	−	0.00805774i	−0.647576	+	0.762001i	$0.724217\pi$
$98$	−4.83603	+	1.76017i	−0.488513	+	0.177804i
$99$	0.248638	+	1.41010i	0.0249891	+	0.141720i
$100$	0.173648	−	0.984808i	0.0173648	−	0.0984808i
$101$	−12.8307	−	4.66998i	−1.27670	−	0.464680i	−0.387359	−	0.921929i	$-0.626613\pi$
$101$	−12.8307	−	4.66998i	−1.27670	−	0.464680i	−0.889339	+	0.457249i	$0.848835\pi$
$102$	−2.29645	−	3.97757i	−0.227382	−	0.393838i
$103$	3.43714	−	5.95330i	0.338672	−	0.586596i	−0.645512	−	0.763751i	$-0.723356\pi$
$103$	3.43714	−	5.95330i	0.338672	−	0.586596i	0.984183	+	0.177154i	$0.0566891\pi$
$104$	−4.50203	+	3.77765i	−0.441460	+	0.370429i
$105$	1.87199	−	1.57079i	0.182688	−	0.153293i
$106$	2.21282	−	3.83272i	0.214929	−	0.372267i
$107$	−4.42008	−	7.65580i	−0.427305	−	0.740114i	0.569328	−	0.822111i	$-0.307204\pi$
$107$	−4.42008	−	7.65580i	−0.427305	−	0.740114i	−0.996633	+	0.0819969i	$0.973870\pi$
$108$	4.68608	+	1.70559i	0.450918	+	0.164121i
$109$	−1.65245	+	9.37152i	−0.158276	+	0.897629i	0.797453	+	0.603381i	$0.206180\pi$
$109$	−1.65245	+	9.37152i	−0.158276	+	0.897629i	−0.955729	+	0.294248i	$0.904931\pi$
$110$	−1.12163	−	6.36108i	−0.106943	−	0.606505i
$111$	7.47124	−	2.71931i	0.709139	−	0.258106i
$112$	1.04295	+	0.875137i	0.0985493	+	0.0826927i
$113$	−11.0799			−1.04231			−0.521154	−	0.853462i	$-0.674498\pi$
$113$	−11.0799			−1.04231			−0.521154	+	0.853462i	$0.674498\pi$
$114$	−5.20633	−	5.84003i	−0.487617	−	0.546969i
$115$	8.42424			0.785564
$116$	3.41558	+	2.86601i	0.317128	+	0.266102i
$117$	−1.22422	+	0.445578i	−0.113179	+	0.0411937i
$118$	1.78554	+	10.1263i	0.164373	+	0.932203i
$119$	−0.604958	+	3.43088i	−0.0554564	+	0.314509i
$120$	1.68666	+	0.613893i	0.153970	+	0.0560405i
$121$	−15.3607	−	26.6055i	−1.39643	−	2.41868i
$122$	3.23161	−	5.59731i	0.292576	−	0.506757i
$123$	−7.54153	+	6.32809i	−0.679997	+	0.570585i
$124$	−1.07440	+	0.901527i	−0.0964838	+	0.0809595i
$125$	−0.500000	+	0.866025i	−0.0447214	+	0.0774597i
$126$	0.150903	+	0.261371i	0.0134435	+	0.0232848i
$127$	−8.63792	−	3.14395i	−0.766491	−	0.278980i	−0.0709633	−	0.997479i	$-0.522607\pi$
$127$	−8.63792	−	3.14395i	−0.766491	−	0.278980i	−0.695528	+	0.718499i	$0.744830\pi$
$128$	−0.173648	+	0.984808i	−0.0153485	+	0.0870455i
$129$	2.13626	+	12.1153i	0.188087	+	1.06670i
$130$	5.52256	−	2.01005i	0.484360	−	0.176293i
$131$	0.0847217	+	0.0710900i	0.00740217	+	0.00621116i	0.646481	−	0.762930i	$-0.276240\pi$
$131$	0.0847217	+	0.0710900i	0.00740217	+	0.00621116i	−0.639079	+	0.769141i	$0.720684\pi$
$132$	11.5937			1.00910
$133$	0.177782	+	5.93185i	0.0154157	+	0.514357i
$134$	6.71962			0.580487
$135$	−3.82013	−	3.20547i	−0.328784	−	0.275883i
$136$	−2.40454	+	0.875181i	−0.206188	+	0.0750461i
$137$	2.37043	+	13.4434i	0.202520	+	1.14855i	0.901295	+	0.433205i	$0.142617\pi$
$137$	2.37043	+	13.4434i	0.202520	+	1.14855i	−0.698776	+	0.715341i	$0.746271\pi$
$138$	−2.62568	+	14.8910i	−0.223513	+	1.26760i
$139$	−2.27126	−	0.826670i	−0.192645	−	0.0701172i	0.243896	−	0.969801i	$-0.421575\pi$
$139$	−2.27126	−	0.826670i	−0.192645	−	0.0701172i	−0.436541	+	0.899684i	$0.643797\pi$
$140$	−0.680736	−	1.17907i	−0.0575327	−	0.0996495i
$141$	8.54216	−	14.7955i	0.719380	−	1.24600i
$142$	−1.48428	+	1.24546i	−0.124558	+	0.104517i
$143$	29.0796	−	24.4007i	2.43176	−	2.04048i
$144$	−0.110838	+	0.191977i	−0.00923648	+	0.0159981i
$145$	−2.22936	−	3.86136i	−0.185138	−	0.320669i
$146$	−5.90451	−	2.14907i	−0.488661	−	0.177858i
$147$	−1.60404	+	9.09694i	−0.132299	+	0.750303i
$148$	−0.769195	−	4.36232i	−0.0632274	−	0.358581i
$149$	2.08531	−	0.758990i	0.170835	−	0.0621789i	−0.255187	−	0.966892i	$-0.582137\pi$
$149$	2.08531	−	0.758990i	0.170835	−	0.0621789i	0.426022	+	0.904713i	$0.359915\pi$
$150$	−1.37498	−	1.15374i	−0.112266	−	0.0942026i
$151$	−11.6771			−0.950267			−0.475133	−	0.879914i	$-0.657600\pi$
$151$	−11.6771			−0.950267			−0.475133	+	0.879914i	$0.657600\pi$
$152$	−3.70793	+	2.29156i	−0.300753	+	0.185870i
$153$	−0.567236			−0.0458583
$154$	−6.73662	−	5.65269i	−0.542852	−	0.455507i
$155$	1.31794	−	0.479693i	0.105860	−	0.0385298i
$156$	1.83175	+	10.3884i	0.146657	+	0.831734i
$157$	−0.722948	+	4.10004i	−0.0576975	+	0.327219i	−0.999971	−	0.00762562i	$-0.997573\pi$
$157$	−0.722948	+	4.10004i	−0.0576975	+	0.327219i	0.942273	+	0.334844i	$0.108684\pi$
$158$	−3.37355	−	1.22787i	−0.268385	−	0.0976843i
$159$	−3.97181	−	6.87937i	−0.314985	−	0.545569i
$160$	0.500000	−	0.866025i	0.0395285	−	0.0684653i
$161$	8.78604	−	7.37236i	0.692437	−	0.581024i
$162$	7.36620	−	6.18097i	0.578743	−	0.485623i
$163$	−2.40117	+	4.15894i	−0.188074	+	0.325753i	−0.944608	−	0.328201i	$-0.893558\pi$
$163$	−2.40117	+	4.15894i	−0.188074	+	0.325753i	0.756534	+	0.653954i	$0.226891\pi$
$164$	2.74242	+	4.75002i	0.214147	+	0.370914i
$165$	−10.8945	−	3.96526i	−0.848133	−	0.308695i
$166$	2.34415	−	13.2943i	0.181941	−	1.03184i
$167$	−0.671525	−	3.80840i	−0.0519641	−	0.294703i	0.947740	−	0.319045i	$-0.103362\pi$
$167$	−0.671525	−	3.80840i	−0.0519641	−	0.294703i	−0.999704	+	0.0243418i	$0.992251\pi$
$168$	2.29634	−	0.835798i	0.177166	−	0.0644832i
$169$	16.4998	+	13.8450i	1.26921	+	1.06500i
$170$	2.55886			0.196255
$171$	−0.946128	+	0.196221i	−0.0723522	+	0.0150054i
$172$	6.85399			0.522612
$173$	8.83929	+	7.41704i	0.672039	+	0.563907i	0.913668	−	0.406461i	$-0.133237\pi$
$173$	8.83929	+	7.41704i	0.672039	+	0.563907i	−0.241629	+	0.970369i	$0.577682\pi$
$174$	7.52033	−	2.73718i	0.570115	−	0.207505i
$175$	0.236417	+	1.34079i	0.0178715	+	0.101354i
$176$	1.12163	−	6.36108i	0.0845460	−	0.479484i
$177$	17.3431	+	6.31237i	1.30359	+	0.474467i
$178$	−0.947998	−	1.64198i	−0.0710555	−	0.123072i
$179$	−4.18981	+	7.25696i	−0.313161	+	0.542411i	−0.979045	−	0.203645i	$-0.934721\pi$
$179$	−4.18981	+	7.25696i	−0.313161	+	0.542411i	0.665884	+	0.746055i	$0.268055\pi$
$180$	0.169813	−	0.142490i	0.0126571	−	0.0106206i
$181$	−8.13969	+	6.83001i	−0.605018	+	0.507671i	−0.893054	−	0.449949i	$-0.851442\pi$
$181$	−8.13969	+	6.83001i	−0.605018	+	0.507671i	0.288036	+	0.957620i	$0.406998\pi$
$182$	4.00067	−	6.92937i	0.296550	−	0.513639i
$183$	−5.80042	−	10.0466i	−0.428780	−	0.742668i
$184$	7.91619	+	2.88126i	0.583590	+	0.212409i
$185$	−0.769195	+	4.36232i	−0.0565523	+	0.320724i
$186$	0.437142	+	2.47915i	0.0320528	+	0.181780i
$187$	15.5314	−	5.65298i	1.13577	−	0.413386i
$188$	−7.29140	−	6.11821i	−0.531780	−	0.446216i
$189$	−6.78942			−0.493857
$190$	4.26808	−	0.885172i	0.309639	−	0.0642171i
$191$	10.8514			0.785179			0.392589	−	0.919714i	$-0.371579\pi$
$191$	10.8514			0.785179			0.392589	+	0.919714i	$0.371579\pi$
$192$	1.37498	+	1.15374i	0.0992303	+	0.0832641i
$193$	−1.81949	+	0.662240i	−0.130970	+	0.0476691i	−0.406674	−	0.913574i	$-0.633311\pi$
$193$	−1.81949	+	0.662240i	−0.130970	+	0.0476691i	0.275704	+	0.961243i	$0.411089\pi$
$194$	0.0214389	+	0.121586i	0.00153922	+	0.00872936i
$195$	1.83175	−	10.3884i	0.131174	−	0.743926i
$196$	4.83603	+	1.76017i	0.345431	+	0.125726i
$197$	−6.12697	−	10.6122i	−0.436529	−	0.756090i	0.560890	−	0.827890i	$-0.310459\pi$
$197$	−6.12697	−	10.6122i	−0.436529	−	0.756090i	−0.997419	+	0.0718004i	$0.977126\pi$
$198$	0.715925	−	1.24002i	0.0508785	−	0.0881242i
$199$	−0.331678	+	0.278311i	−0.0235121	+	0.0197290i	−0.654468	−	0.756090i	$-0.727107\pi$
$199$	−0.331678	+	0.278311i	−0.0235121	+	0.0197290i	0.630956	+	0.775819i	$0.282663\pi$
$200$	−0.766044	+	0.642788i	−0.0541675	+	0.0454519i
$201$	6.03053	−	10.4452i	0.425361	−	0.736747i
$202$	6.82705	+	11.8248i	0.480350	+	0.831990i
$203$	−5.70433	−	2.07621i	−0.400365	−	0.145721i
$204$	−0.797549	+	4.52312i	−0.0558396	+	0.316682i
$205$	−0.952434	−	5.40152i	−0.0665209	−	0.377259i
$206$	−6.45971	+	2.35114i	−0.450070	+	0.163812i
$207$	1.43055	+	1.20037i	0.0994300	+	0.0834317i
$208$	5.87698			0.407496
$209$	23.9503	−	14.8017i	1.65668	−	1.02385i
$210$	−2.44371			−0.168632
$211$	−10.5293	−	8.83513i	−0.724867	−	0.608235i	0.203860	−	0.979000i	$-0.434651\pi$
$211$	−10.5293	−	8.83513i	−0.724867	−	0.608235i	−0.928727	+	0.370765i	$0.879096\pi$
$212$	−4.15875	+	1.51366i	−0.285624	+	0.103959i
$213$	0.603911	+	3.42495i	0.0413793	+	0.234674i
$214$	−1.53508	+	8.70585i	−0.104936	+	0.595120i
$215$	−6.44064	−	2.34420i	−0.439248	−	0.159873i
$216$	−2.49341	−	4.31871i	−0.169655	−	0.293851i
$217$	0.954751	−	1.65368i	0.0648127	−	0.112259i
$218$	7.28975	−	6.11683i	0.493724	−	0.414284i
$219$	−8.63959	+	7.24948i	−0.583809	+	0.489874i
$220$	−3.22960	+	5.59384i	−0.217740	+	0.377137i
$221$	7.51918	+	13.0236i	0.505795	+	0.876062i
$222$	−7.47124	−	2.71931i	−0.501437	−	0.182508i
$223$	−3.90968	+	22.1729i	−0.261812	+	1.48481i	0.516151	+	0.856497i	$0.327364\pi$
$223$	−3.90968	+	22.1729i	−0.261812	+	1.48481i	−0.777963	+	0.628310i	$0.783747\pi$
$224$	−0.236417	−	1.34079i	−0.0157963	−	0.0895852i
$225$	−0.208307	+	0.0758175i	−0.0138871	+	0.00505450i
$226$	8.48769	+	7.12202i	0.564593	+	0.473750i
$227$	−18.8403			−1.25048			−0.625239	−	0.780433i	$-0.714998\pi$
$227$	−18.8403			−1.25048			−0.625239	+	0.780433i	$0.714998\pi$
$228$	0.234380	+	7.82029i	0.0155222	+	0.517911i
$229$	−4.51829			−0.298577			−0.149289	−	0.988794i	$-0.547698\pi$
$229$	−4.51829			−0.298577			−0.149289	+	0.988794i	$0.547698\pi$
$230$	−6.45334	−	5.41500i	−0.425521	−	0.357054i
$231$	−14.8325	+	5.39859i	−0.975908	+	0.355201i
$232$	−0.774248	−	4.39098i	−0.0508319	−	0.288282i
$233$	−1.86901	+	10.5997i	−0.122443	+	0.694406i	0.860351	+	0.509701i	$0.170244\pi$
$233$	−1.86901	+	10.5997i	−0.122443	+	0.694406i	−0.982794	+	0.184705i	$0.940867\pi$
$234$	1.22422	+	0.445578i	0.0800295	+	0.0291284i
$235$	4.75912	+	8.24304i	0.310451	+	0.537717i
$236$	5.14126	−	8.90493i	0.334668	−	0.579662i
$237$	−4.93624	+	4.14200i	−0.320643	+	0.269052i
$238$	2.66875	−	2.23935i	0.172990	−	0.145156i
$239$	−11.7010	+	20.2668i	−0.756876	+	1.31095i	0.187560	+	0.982253i	$0.439942\pi$
$239$	−11.7010	+	20.2668i	−0.756876	+	1.31095i	−0.944436	+	0.328695i	$0.893391\pi$
$240$	−0.897451	−	1.55443i	−0.0579302	−	0.100338i
$241$	19.6353	+	7.14665i	1.26482	+	0.460356i	0.885383	−	0.464862i	$-0.153896\pi$
$241$	19.6353	+	7.14665i	1.26482	+	0.460356i	0.379435	+	0.925218i	$0.376118\pi$
$242$	−5.33471	+	30.2547i	−0.342928	+	1.94484i
$243$	−0.399237	−	2.26419i	−0.0256111	−	0.145248i
$244$	−6.07344	+	2.21055i	−0.388812	+	0.141516i
$245$	−3.94237	−	3.30804i	−0.251869	−	0.211343i
$246$	9.84477			0.627679
$247$	17.0469	+	19.1218i	1.08467	+	1.21669i
$248$	1.40253			0.0890606
$249$	−18.5613	−	15.5748i	−1.17628	−	0.987014i
$250$	0.939693	−	0.342020i	0.0594314	−	0.0216313i
$251$	−3.10917	−	17.6330i	−0.196249	−	1.11298i	−0.910628	−	0.413226i	$-0.864402\pi$
$251$	−3.10917	−	17.6330i	−0.196249	−	1.11298i	0.714379	−	0.699759i	$-0.246709\pi$
$252$	0.0524079	−	0.297220i	0.00330139	−	0.0187231i
$253$	−51.1324	−	18.6107i	−3.21466	−	1.17004i
$254$	4.59614	+	7.96075i	0.288388	+	0.499502i
$255$	2.29645	−	3.97757i	0.143809	−	0.249085i
$256$	0.766044	−	0.642788i	0.0478778	−	0.0401742i
$257$	−0.372978	+	0.312965i	−0.0232657	+	0.0195222i	−0.654346	−	0.756195i	$-0.727056\pi$
$257$	−0.372978	+	0.312965i	−0.0232657	+	0.0195222i	0.631081	+	0.775717i	$0.282612\pi$
$258$	6.15112	−	10.6541i	0.382952	−	0.663292i
$259$	3.01540	+	5.22282i	0.187368	+	0.324531i
$260$	−5.52256	−	2.01005i	−0.342495	−	0.124658i
$261$	0.171632	−	0.973373i	0.0106238	−	0.0602503i
$262$	−0.0192049	−	0.108916i	−0.00118648	−	0.00672886i
$263$	20.7375	−	7.54785i	1.27873	−	0.465420i	0.388719	−	0.921356i	$-0.372918\pi$
$263$	20.7375	−	7.54785i	1.27873	−	0.465420i	0.890013	+	0.455936i	$0.150695\pi$
$264$	−8.88125	−	7.45226i	−0.546603	−	0.458655i
$265$	4.42565			0.271865
$266$	3.67673	−	4.65834i	0.225435	−	0.285621i
$267$	−3.40313			−0.208268
$268$	−5.14753	−	4.31929i	−0.314435	−	0.263843i
$269$	−16.6789	+	6.07061i	−1.01693	+	0.370131i	−0.796089	−	0.605179i	$-0.793101\pi$
$269$	−16.6789	+	6.07061i	−1.01693	+	0.370131i	−0.220838	+	0.975310i	$0.570879\pi$
$270$	0.865953	+	4.91106i	0.0527002	+	0.298878i
$271$	1.89657	−	10.7560i	0.115208	−	0.653380i	−0.871438	−	0.490505i	$-0.836812\pi$
$271$	1.89657	−	10.7560i	0.115208	−	0.653380i	0.986647	−	0.162875i	$-0.0520766\pi$
$272$	2.40454	+	0.875181i	0.145797	+	0.0530656i
$273$	−7.18082	−	12.4375i	−0.434603	−	0.752755i
$274$	6.82538	−	11.8219i	0.412337	−	0.714188i
$275$	4.94804	−	4.15190i	0.298378	−	0.250369i
$276$	11.5831	−	9.71939i	0.697222	−	0.585039i
$277$	−4.52983	+	7.84590i	−0.272171	+	0.471414i	−0.969418	−	0.245417i	$-0.921075\pi$
$277$	−4.52983	+	7.84590i	−0.272171	+	0.471414i	0.697246	+	0.716832i	$0.254408\pi$
$278$	1.20851	+	2.09320i	0.0724816	+	0.125542i
$279$	0.292156	+	0.106336i	0.0174909	+	0.00636618i
$280$	−0.236417	+	1.34079i	−0.0141286	+	0.0801274i
$281$	2.65688	+	15.0679i	0.158496	+	0.898876i	0.955520	+	0.294928i	$0.0952956\pi$
$281$	2.65688	+	15.0679i	0.158496	+	0.898876i	−0.797023	+	0.603948i	$0.793593\pi$
$282$	−16.0540	+	5.84318i	−0.956003	+	0.347957i
$283$	−7.54574	−	6.33163i	−0.448548	−	0.376376i	0.390349	−	0.920667i	$-0.372354\pi$
$283$	−7.54574	−	6.33163i	−0.448548	−	0.376376i	−0.838897	+	0.544291i	$0.816799\pi$
$284$	1.93759			0.114975
$285$	2.45445	−	7.42883i	0.145389	−	0.440046i
$286$	−37.9607			−2.24466
$287$	−5.72041	−	4.79999i	−0.337665	−	0.283335i
$288$	0.208307	−	0.0758175i	0.0122746	−	0.00446759i
$289$	−1.81501	−	10.2935i	−0.106766	−	0.605498i
$290$	−0.774248	+	4.39098i	−0.0454654	+	0.257847i
$291$	0.208237	+	0.0757922i	0.0122071	+	0.00444302i
$292$	3.14173	+	5.44163i	0.183856	+	0.318447i
$293$	−4.08936	+	7.08299i	−0.238903	+	0.413792i	−0.960400	−	0.278625i	$-0.910121\pi$
$293$	−4.08936	+	7.08299i	−0.238903	+	0.413792i	0.721497	+	0.692418i	$0.243455\pi$
$294$	7.07617	−	5.93761i	0.412690	−	0.346288i
$295$	−7.87687	+	6.60948i	−0.458609	+	0.384819i
$296$	−2.21481	+	3.83616i	−0.128733	+	0.222972i
$297$	16.1055	+	27.8955i	0.934534	+	1.61866i
$298$	−2.08531	−	0.758990i	−0.120799	−	0.0439671i
$299$	8.59717	−	48.7570i	0.497187	−	2.81969i
$300$	0.311682	+	1.76763i	0.0179949	+	0.102054i
$301$	−8.76875	+	3.19157i	−0.505423	+	0.183959i
$302$	8.94516	+	7.50588i	0.514736	+	0.431915i
$303$	24.5078			1.40794
$304$	4.31343	+	0.627978i	0.247392	+	0.0360170i
$305$	6.46322			0.370083
$306$	0.434528	+	0.364612i	0.0248403	+	0.0208435i
$307$	5.68175	−	2.06799i	0.324275	−	0.118026i	−0.174753	−	0.984612i	$-0.555913\pi$
$307$	5.68175	−	2.06799i	0.324275	−	0.118026i	0.499028	+	0.866586i	$0.333691\pi$
$308$	1.52707	+	8.66043i	0.0870127	+	0.493474i
$309$	−2.14259	+	12.1512i	−0.121888	+	0.691259i
$310$	−1.31794	−	0.479693i	−0.0748542	−	0.0272447i
$311$	−16.5582	−	28.6797i	−0.938932	−	1.62628i	−0.767468	−	0.641087i	$-0.778484\pi$
$311$	−16.5582	−	28.6797i	−0.938932	−	1.62628i	−0.171463	−	0.985191i	$-0.554849\pi$
$312$	5.27431	−	9.13537i	0.298599	−	0.517188i
$313$	−4.72802	+	3.96728i	−0.267244	+	0.224244i	−0.766555	−	0.642179i	$-0.778031\pi$
$313$	−4.72802	+	3.96728i	−0.267244	+	0.224244i	0.499312	+	0.866423i	$0.333586\pi$
$314$	3.18927	−	2.67611i	0.179981	−	0.151022i
$315$	−0.150903	+	0.261371i	−0.00850240	+	0.0147266i
$316$	1.79503	+	3.10908i	0.100978	+	0.174900i
$317$	15.4171	+	5.61135i	0.865908	+	0.315165i	0.736509	−	0.676428i	$-0.236473\pi$
$317$	15.4171	+	5.61135i	0.865908	+	0.315165i	0.129399	+	0.991593i	$0.458695\pi$
$318$	−1.37939	+	7.82293i	−0.0773525	+	0.438688i
$319$	5.00103	+	28.3623i	0.280004	+	1.58798i
$320$	−0.939693	+	0.342020i	−0.0525304	+	0.0191195i
$321$	12.1550	+	10.1992i	0.678425	+	0.569266i
$322$	−11.4694			−0.639163
$323$	4.12710	+	10.3622i	0.229638	+	0.576566i
$324$	−9.61589			−0.534216
$325$	4.50203	+	3.77765i	0.249728	+	0.209546i
$326$	4.51272	−	1.64249i	0.249936	−	0.0909694i
$327$	−2.96599	−	16.8210i	−0.164020	−	0.930202i
$328$	0.952434	−	5.40152i	0.0525894	−	0.298249i
$329$	12.1773	+	4.43218i	0.671357	+	0.244354i
$330$	5.79683	+	10.0404i	0.319105	+	0.552706i
$331$	−8.53392	+	14.7812i	−0.469066	+	0.812447i	−0.999375	−	0.0353579i	$-0.988743\pi$
$331$	−8.53392	+	14.7812i	−0.469066	+	0.812447i	0.530308	+	0.847805i	$0.322076\pi$
$332$	−10.3411	+	8.67725i	−0.567544	+	0.476226i
$333$	−0.752208	+	0.631178i	−0.0412208	+	0.0345883i
$334$	−1.93358	+	3.34906i	−0.105801	+	0.183252i
$335$	3.35981	+	5.81936i	0.183566	+	0.317946i
$336$	−2.29634	−	0.835798i	−0.125275	−	0.0455965i
$337$	3.27441	−	18.5701i	0.178368	−	1.01158i	−0.755816	−	0.654785i	$-0.772759\pi$
$337$	3.27441	−	18.5701i	0.178368	−	1.01158i	0.934184	−	0.356792i	$-0.116130\pi$
$338$	−3.74020	−	21.2117i	−0.203440	−	1.15377i
$339$	18.6880	−	6.80187i	1.01499	−	0.369427i
$340$	−1.96020	−	1.64480i	−0.106307	−	0.0892019i
$341$	−9.05922			−0.490584
$342$	0.850905	+	0.457845i	0.0460117	+	0.0247574i
$343$	−16.5370			−0.892913
$344$	−5.25046	−	4.40566i	−0.283086	−	0.237537i
$345$	−14.2088	+	5.17158i	−0.764976	+	0.278429i
$346$	−2.00370	−	11.3636i	−0.107720	−	0.610909i
$347$	0.939047	−	5.32560i	0.0504107	−	0.285893i	−0.949173	−	0.314756i	$-0.898077\pi$
$347$	0.939047	−	5.32560i	0.0504107	−	0.285893i	0.999583	+	0.0288626i	$0.00918852\pi$
$348$	−7.52033	−	2.73718i	−0.403132	−	0.146728i
$349$	18.1540	+	31.4436i	0.971761	+	1.68314i	0.690235	+	0.723586i	$0.257507\pi$
$349$	18.1540	+	31.4436i	0.971761	+	1.68314i	0.281526	+	0.959554i	$0.409159\pi$
$350$	0.680736	−	1.17907i	0.0363869	−	0.0630239i
$351$	−22.4508	+	18.8385i	−1.19834	+	1.00552i
$352$	−4.94804	+	4.15190i	−0.263731	+	0.221297i
$353$	0.614958	−	1.06514i	0.0327309	−	0.0566916i	−0.849196	−	0.528078i	$-0.822913\pi$
$353$	0.614958	−	1.06514i	0.0327309	−	0.0566916i	0.881927	+	0.471386i	$0.156246\pi$
$354$	−9.22807	−	15.9835i	−0.490466	−	0.849513i
$355$	−1.82074	−	0.662695i	−0.0966348	−	0.0351722i
$356$	−0.329236	+	1.86719i	−0.0174495	+	0.0989610i
$357$	−1.08584	−	6.15810i	−0.0574687	−	0.325921i
$358$	7.87426	−	2.86600i	0.416168	−	0.151473i
$359$	−11.5897	−	9.72494i	−0.611683	−	0.513263i	0.283494	−	0.958974i	$-0.408506\pi$
$359$	−11.5897	−	9.72494i	−0.611683	−	0.513263i	−0.895177	+	0.445711i	$0.852951\pi$
$360$	−0.221676			−0.0116833
$361$	10.4684	+	15.8560i	0.550967	+	0.834527i
$362$	10.6256			0.558470
$363$	42.2411	+	35.4445i	2.21709	+	1.86036i
$364$	−7.51881	+	2.73662i	−0.394093	+	0.143438i
$365$	−1.09111	−	6.18799i	−0.0571113	−	0.323894i
$366$	−2.01447	+	11.4246i	−0.105298	+	0.597174i
$367$	1.98697	+	0.723196i	0.103719	+	0.0377505i	0.393358	−	0.919385i	$-0.371313\pi$
$367$	1.98697	+	0.723196i	0.103719	+	0.0377505i	−0.289640	+	0.957136i	$0.593535\pi$
$368$	−4.21212	−	7.29560i	−0.219572	−	0.380310i
$369$	0.607928	−	1.05296i	0.0316475	−	0.0548151i
$370$	3.39328	−	2.84730i	0.176408	−	0.148024i
$371$	4.61572	−	3.87305i	0.239636	−	0.201079i
$372$	1.25870	−	2.18013i	0.0652605	−	0.113035i
$373$	−2.51876	−	4.36262i	−0.130416	−	0.225888i	0.793421	−	0.608674i	$-0.208298\pi$
$373$	−2.51876	−	4.36262i	−0.130416	−	0.225888i	−0.923837	+	0.382786i	$0.874965\pi$
$374$	−15.5314	−	5.65298i	−0.803111	−	0.292308i
$375$	0.311682	−	1.76763i	0.0160952	−	0.0912802i
$376$	1.65283	+	9.37364i	0.0852380	+	0.483409i
$377$	−24.6235	+	8.96223i	−1.26818	+	0.461579i
$378$	5.20100	+	4.36415i	0.267510	+	0.224468i
$379$	37.2812			1.91501			0.957503	−	0.288423i	$-0.0931308\pi$
$379$	37.2812			1.91501			0.957503	+	0.288423i	$0.0931308\pi$
$380$	−3.83851	−	2.06538i	−0.196912	−	0.105952i
$381$	16.4993			0.845282
$382$	−8.31264	−	6.97514i	−0.425312	−	0.356879i
$383$	−13.9869	+	5.09082i	−0.714698	+	0.260129i	−0.673673	−	0.739029i	$-0.735285\pi$
$383$	−13.9869	+	5.09082i	−0.714698	+	0.260129i	−0.0410250	+	0.999158i	$0.513062\pi$
$384$	−0.311682	−	1.76763i	−0.0159054	−	0.0902042i
$385$	1.52707	−	8.66043i	0.0778266	−	0.441376i
$386$	1.81949	+	0.662240i	0.0926096	+	0.0337071i
$387$	−0.759681	−	1.31581i	−0.0386168	−	0.0668862i
$388$	0.0617308	−	0.106921i	0.00313391	−	0.00542808i
$389$	23.6259	−	19.8245i	1.19788	−	1.00514i	0.198191	−	0.980163i	$-0.436493\pi$
$389$	23.6259	−	19.8245i	1.19788	−	1.00514i	0.999688	−	0.0249764i	$-0.00795105\pi$
$390$	−8.08071	+	6.78052i	−0.409183	+	0.343345i
$391$	10.7782	−	18.6684i	0.545078	−	0.944102i
$392$	−2.57320	−	4.45691i	−0.129966	−	0.225108i
$393$	−0.186538	−	0.0678943i	−0.00940960	−	0.00342482i
$394$	−2.12787	+	12.0678i	−0.107201	+	0.607966i
$395$	−0.623407	−	3.53552i	−0.0313670	−	0.177891i
$396$	−1.34550	+	0.489721i	−0.0676138	+	0.0246094i
$397$	−16.9711	−	14.2405i	−0.851756	−	0.714708i	0.108420	−	0.994105i	$-0.465421\pi$
$397$	−16.9711	−	14.2405i	−0.851756	−	0.714708i	−0.960176	+	0.279397i	$0.909865\pi$
$398$	0.432975			0.0217031
$399$	−3.94138	−	9.89586i	−0.197316	−	0.495413i
$400$	1.00000			0.0500000
$401$	23.8011	+	19.9715i	1.18857	+	0.997330i	0.999883	+	0.0152927i	$0.00486799\pi$
$401$	23.8011	+	19.9715i	1.18857	+	0.997330i	0.188688	+	0.982037i	$0.439576\pi$
$402$	−11.3337	+	4.12513i	−0.565273	+	0.205743i
$403$	−1.43132	−	8.11741i	−0.0712990	−	0.404357i
$404$	2.37101	−	13.4467i	0.117962	−	0.668997i
$405$	9.03598	+	3.28883i	0.449001	+	0.163423i
$406$	3.03521	+	5.25714i	0.150635	+	0.260907i
$407$	14.3059	−	24.7786i	0.709118	−	1.22823i
$408$	3.51836	−	2.95226i	0.174185	−	0.146159i
$409$	1.56037	−	1.30931i	0.0771554	−	0.0647411i	−0.603394	−	0.797443i	$-0.706185\pi$
$409$	1.56037	−	1.30931i	0.0771554	−	0.0647411i	0.680550	+	0.732702i	$0.261741\pi$
$410$	−2.74242	+	4.75002i	−0.135439	+	0.234587i
$411$	−12.2509	−	21.2192i	−0.604292	−	1.04667i
$412$	6.45971	+	2.35114i	0.318247	+	0.115833i
$413$	−2.43097	+	13.7867i	−0.119620	+	0.678399i
$414$	−0.324279	−	1.83908i	−0.0159374	−	0.0903857i
$415$	12.6853	−	4.61707i	0.622696	−	0.226643i
$416$	−4.50203	−	3.77765i	−0.220730	−	0.185215i
$417$	4.33832			0.212448
$418$	−27.8613	−	4.05624i	−1.36274	−	0.198397i
$419$	−11.2236			−0.548308			−0.274154	−	0.961686i	$-0.588398\pi$
$419$	−11.2236			−0.548308			−0.274154	+	0.961686i	$0.588398\pi$
$420$	1.87199	+	1.57079i	0.0913438	+	0.0766465i
$421$	9.19144	−	3.34541i	0.447964	−	0.163045i	−0.108181	−	0.994131i	$-0.534502\pi$
$421$	9.19144	−	3.34541i	0.447964	−	0.163045i	0.556144	+	0.831086i	$0.312280\pi$
$422$	2.38680	+	13.5362i	0.116187	+	0.658932i
$423$	−0.366391	+	2.07791i	−0.0178146	+	0.101031i
$424$	4.15875	+	1.51366i	0.201967	+	0.0735099i
$425$	1.27943	+	2.21604i	0.0620614	+	0.107493i
$426$	1.73889	−	3.01185i	0.0842496	−	0.145925i
$427$	6.74080	−	5.65620i	0.326210	−	0.273723i
$428$	6.77195	−	5.68234i	0.327335	−	0.274666i
$429$	−34.0679	+	59.0073i	−1.64481	+	2.84890i
$430$	3.42699	+	5.93573i	0.165264	+	0.286246i
$431$	4.58045	+	1.66715i	0.220633	+	0.0803037i	0.449971	−	0.893043i	$-0.351434\pi$
$431$	4.58045	+	1.66715i	0.220633	+	0.0803037i	−0.229339	+	0.973347i	$0.573656\pi$
$432$	−0.865953	+	4.91106i	−0.0416632	+	0.236284i
$433$	−3.45838	−	19.6135i	−0.166199	−	0.942563i	−0.947819	−	0.318808i	$-0.896717\pi$
$433$	−3.45838	−	19.6135i	−0.166199	−	0.942563i	0.781620	−	0.623755i	$-0.214394\pi$
$434$	−1.79434	+	0.653088i	−0.0861313	+	0.0313492i
$435$	6.13063	+	5.14421i	0.293941	+	0.246646i
$436$	−9.51609			−0.455738
$437$	11.5198	−	34.8666i	0.551066	−	1.66790i
$438$	11.2782			0.538892
$439$	−16.3249	−	13.6982i	−0.779145	−	0.653780i	0.163888	−	0.986479i	$-0.447596\pi$
$439$	−16.3249	−	13.6982i	−0.779145	−	0.653780i	−0.943033	+	0.332699i	$0.892041\pi$
$440$	6.06967	−	2.20918i	0.289360	−	0.105319i
$441$	−0.198103	−	1.12350i	−0.00943348	−	0.0534999i
$442$	2.61138	−	14.8099i	0.124211	−	0.704435i
$443$	5.81205	+	2.11541i	0.276139	+	0.100506i	0.476377	−	0.879241i	$-0.341950\pi$
$443$	5.81205	+	2.11541i	0.276139	+	0.100506i	−0.200239	+	0.979747i	$0.564172\pi$
$444$	3.97537	+	6.88554i	0.188662	+	0.326773i
$445$	0.947998	−	1.64198i	0.0449394	−	0.0778374i
$446$	17.2475	−	14.4723i	0.816691	−	0.685285i
$447$	−3.05126	+	2.56031i	−0.144320	+	0.121099i
$448$	−0.680736	+	1.17907i	−0.0321617	+	0.0557058i
$449$	−20.3687	−	35.2797i	−0.961260	−	1.66495i	−0.719345	−	0.694653i	$-0.755558\pi$
$449$	−20.3687	−	35.2797i	−0.961260	−	1.66495i	−0.241914	−	0.970298i	$-0.577775\pi$
$450$	0.208307	+	0.0758175i	0.00981968	+	0.00357407i
$451$	−6.15197	+	34.8896i	−0.289685	+	1.64288i
$452$	−1.92400	−	10.9116i	−0.0904975	−	0.513237i
$453$	19.6952	−	7.16847i	0.925362	−	0.336804i
$454$	14.4325	+	12.1103i	0.677353	+	0.568366i
$455$	8.00135			0.375109
$456$	4.84724	−	6.14134i	0.226993	−	0.287595i
$457$	14.7073			0.687978			0.343989	−	0.938974i	$-0.388222\pi$
$457$	14.7073			0.687978			0.343989	+	0.938974i	$0.388222\pi$
$458$	3.46121	+	2.90430i	0.161732	+	0.135709i
$459$	−11.9910	+	4.36437i	−0.559692	+	0.203711i
$460$	1.46285	+	8.29626i	0.0682059	+	0.386815i
$461$	−2.43148	+	13.7896i	−0.113245	+	0.642245i	0.874359	+	0.485280i	$0.161282\pi$
$461$	−2.43148	+	13.7896i	−0.113245	+	0.642245i	−0.987604	+	0.156966i	$0.949829\pi$
$462$	14.8325	+	5.39859i	0.690071	+	0.251165i
$463$	−1.13697	−	1.96929i	−0.0528394	−	0.0915206i	0.838396	−	0.545062i	$-0.183494\pi$
$463$	−1.13697	−	1.96929i	−0.0528394	−	0.0915206i	−0.891235	+	0.453541i	$0.850160\pi$
$464$	−2.22936	+	3.86136i	−0.103495	+	0.179259i
$465$	−1.92844	+	1.61815i	−0.0894293	+	0.0750401i
$466$	8.24507	−	6.91843i	0.381945	−	0.320490i
$467$	14.7327	−	25.5178i	0.681749	−	1.18082i	−0.292698	−	0.956205i	$-0.594553\pi$
$467$	14.7327	−	25.5178i	0.681749	−	1.18082i	0.974447	−	0.224618i	$-0.0721136\pi$
$468$	−0.651392	−	1.12824i	−0.0301106	−	0.0521531i
$469$	8.59685	+	3.12900i	0.396966	+	0.144484i
$470$	1.65283	−	9.37364i	0.0762392	−	0.432374i
$471$	−1.29762	−	7.35917i	−0.0597912	−	0.339093i
$472$	−9.66242	+	3.51683i	−0.444749	+	0.161875i
$473$	33.9138	+	28.4571i	1.55936	+	1.30846i
$474$	6.44381			0.295974
$475$	2.90062	+	3.25368i	0.133090	+	0.149289i
$476$	−3.48381			−0.159680
$477$	0.751534	+	0.630612i	0.0344104	+	0.0288738i
$478$	21.9907	−	8.00397i	1.00583	−	0.366093i
$479$	3.55187	+	20.1437i	0.162289	+	0.920387i	0.951816	+	0.306671i	$0.0992150\pi$
$479$	3.55187	+	20.1437i	0.162289	+	0.920387i	−0.789527	+	0.613716i	$0.789674\pi$
$480$	−0.311682	+	1.76763i	−0.0142263	+	0.0806811i
$481$	24.4628	+	8.90374i	1.11541	+	0.405976i
$482$	−10.4477	−	18.0960i	−0.475880	−	0.824248i
$483$	−10.2932	+	17.8283i	−0.468357	+	0.811217i
$484$	23.5339	−	19.7473i	1.06972	−	0.897606i
$485$	−0.0945771	+	0.0793596i	−0.00429452	+	0.00360353i
$486$	−1.14956	+	1.99109i	−0.0521450	+	0.0903178i
$487$	−14.5597	−	25.2182i	−0.659765	−	1.14275i	−0.980676	−	0.195637i	$-0.937323\pi$
$487$	−14.5597	−	25.2182i	−0.659765	−	1.14275i	0.320912	−	0.947109i	$-0.396011\pi$
$488$	6.07344	+	2.21055i	0.274932	+	0.100067i
$489$	1.49680	−	8.48877i	0.0676876	−	0.383875i
$490$	0.893662	+	5.06821i	0.0403715	+	0.228958i
$491$	−15.6448	+	5.69426i	−0.706042	+	0.256978i	−0.669988	−	0.742372i	$-0.733701\pi$
$491$	−15.6448	+	5.69426i	−0.706042	+	0.256978i	−0.0360537	+	0.999350i	$0.511479\pi$
$492$	−7.54153	−	6.32809i	−0.339998	−	0.285293i
$493$	−11.4092			−0.513846
$494$	−0.767422	−	25.6057i	−0.0345279	−	1.15205i
$495$	1.43185			0.0643568
$496$	−1.07440	−	0.901527i	−0.0482419	−	0.0404798i
$497$	−2.47888	+	0.902240i	−0.111193	+	0.0404710i
$498$	4.20752	+	23.8620i	0.188543	+	1.06928i
$499$	5.09005	−	28.8671i	0.227862	−	1.29227i	−0.629276	−	0.777182i	$-0.716649\pi$
$499$	5.09005	−	28.8671i	0.227862	−	1.29227i	0.857138	−	0.515087i	$-0.172240\pi$
$500$	−0.939693	−	0.342020i	−0.0420243	−	0.0152956i
$501$	3.47058	+	6.01123i	0.155054	+	0.268562i
$502$	−8.95251	+	15.5062i	−0.399570	+	0.692075i
$503$	5.41129	−	4.54061i	0.241277	−	0.202456i	−0.514128	−	0.857713i	$-0.671884\pi$
$503$	5.41129	−	4.54061i	0.241277	−	0.202456i	0.755405	+	0.655258i	$0.227440\pi$
$504$	−0.231196	+	0.193997i	−0.0102983	+	0.00864129i
$505$	−6.82705	+	11.8248i	−0.303800	+	0.526197i
$506$	27.2070	+	47.1238i	1.20950	+	2.09491i
$507$	−36.3288	−	13.2226i	−1.61342	−	0.587237i
$508$	1.59622	−	9.05263i	0.0708209	−	0.401646i
$509$	2.11320	+	11.9846i	0.0936661	+	0.531207i	0.995148	+	0.0983900i	$0.0313693\pi$
$509$	2.11320	+	11.9846i	0.0936661	+	0.531207i	−0.901482	+	0.432817i	$0.857520\pi$
$510$	−4.31591	+	1.57086i	−0.191112	+	0.0695590i
$511$	−6.55331	−	5.49888i	−0.289901	−	0.243256i
$512$	−1.00000			−0.0441942
$513$	−18.4908	+	11.4276i	−0.816389	+	0.504540i
$514$	0.486888			0.0214757
$515$	−5.26601	−	4.41870i	−0.232048	−	0.194711i
$516$	−11.5603	+	4.20761i	−0.508915	+	0.185230i
$517$	−10.6760	−	60.5463i	−0.469528	−	2.66282i
$518$	1.04724	−	5.93918i	0.0460130	−	0.260952i
$519$	−19.4621	−	7.08363i	−0.854292	−	0.310937i
$520$	2.93849	+	5.08962i	0.128861	+	0.223195i
$521$	−12.6575	+	21.9234i	−0.554535	+	0.960483i	0.443405	+	0.896322i	$0.353770\pi$
$521$	−12.6575	+	21.9234i	−0.554535	+	0.960483i	−0.997940	+	0.0641611i	$0.979563\pi$
$522$	−0.757150	+	0.635324i	−0.0331396	+	0.0278074i
$523$	33.1069	−	27.7800i	1.44766	−	1.21473i	0.513399	−	0.858150i	$-0.328386\pi$
$523$	33.1069	−	27.7800i	1.44766	−	1.21473i	0.934263	−	0.356583i	$-0.116058\pi$
$524$	−0.0552982	+	0.0957793i	−0.00241571	+	0.00418414i
$525$	−1.22185	−	2.11631i	−0.0533261	−	0.0923635i
$526$	−20.7375	−	7.54785i	−0.904200	−	0.329102i
$527$	0.623200	−	3.53434i	0.0271470	−	0.153958i
$528$	2.01322	+	11.4175i	0.0876140	+	0.496884i
$529$	−45.0750	+	16.4060i	−1.95978	+	0.713302i
$530$	−3.39024	−	2.84475i	−0.147263	−	0.123568i
$531$	−2.27939			−0.0989169
$532$	−5.81086	+	1.20514i	−0.251933	+	0.0522493i
$533$	−32.2344			−1.39623
$534$	2.60695	+	2.18749i	0.112814	+	0.0946619i
$535$	−8.30703	+	3.02351i	−0.359144	+	0.130718i
$536$	1.16685	+	6.61753i	0.0504002	+	0.285834i
$537$	2.61177	−	14.8121i	0.112706	−	0.639189i
$538$	16.6789	+	6.07061i	0.719076	+	0.261722i
$539$	16.6208	+	28.7881i	0.715909	+	1.23999i
$540$	2.49341	−	4.31871i	0.107299	−	0.185848i
$541$	−16.8919	+	14.1740i	−0.726240	+	0.609388i	−0.929104	−	0.369819i	$-0.879420\pi$
$541$	−16.8919	+	14.1740i	−0.726240	+	0.609388i	0.202864	+	0.979207i	$0.434975\pi$
$542$	−8.36667	+	7.02047i	−0.359379	+	0.301555i
$543$	9.53597	−	16.5168i	0.409228	−	0.708803i
$544$	−1.27943	−	2.21604i	−0.0548550	−	0.0950117i
$545$	8.94220	+	3.25470i	0.383042	+	0.139416i
$546$	−2.49387	+	14.1435i	−0.106728	+	0.605284i
$547$	4.17215	+	23.6615i	0.178388	+	1.01169i	0.934160	+	0.356855i	$0.116151\pi$
$547$	4.17215	+	23.6615i	0.178388	+	1.01169i	−0.755771	+	0.654836i	$0.772738\pi$
$548$	−12.8275	+	4.66884i	−0.547965	+	0.199443i
$549$	1.09754	+	0.920946i	0.0468419	+	0.0393050i
$550$	−6.45921			−0.275422
$551$	−19.0301	+	3.94673i	−0.810712	+	0.168137i
$552$	−15.1207			−0.643579
$553$	−3.74424	−	3.14179i	−0.159221	−	0.133603i
$554$	8.51330	−	3.09859i	0.361695	−	0.131646i
$555$	−1.38063	−	7.82994i	−0.0586045	−	0.332363i
$556$	0.419711	−	2.38030i	0.0177997	−	0.100947i
$557$	−4.28175	−	1.55843i	−0.181424	−	0.0660328i	0.249711	−	0.968320i	$-0.419664\pi$
$557$	−4.28175	−	1.55843i	−0.181424	−	0.0660328i	−0.431135	+	0.902288i	$0.641887\pi$
$558$	−0.155453	−	0.269253i	−0.00658085	−	0.0113984i
$559$	−20.1404	+	34.8842i	−0.851848	+	1.47544i
$560$	1.04295	−	0.875137i	0.0440726	−	0.0369813i
$561$	−22.7259	+	19.0693i	−0.959486	+	0.805105i
$562$	7.65018	−	13.2505i	0.322703	−	0.558939i
$563$	11.5030	+	19.9237i	0.484792	+	0.839684i	0.999847	−	0.0174729i	$-0.00556209\pi$
$563$	11.5030	+	19.9237i	0.484792	+	0.839684i	−0.515056	+	0.857157i	$0.672229\pi$
$564$	16.0540	+	5.84318i	0.675996	+	0.246042i
$565$	−1.92400	+	10.9116i	−0.0809434	+	0.459053i
$566$	1.71048	+	9.70062i	0.0718969	+	0.407747i
$567$	12.3022	−	4.47765i	0.516645	−	0.188043i
$568$	−1.48428	−	1.24546i	−0.0622790	−	0.0522583i
$569$	−39.2546			−1.64564			−0.822819	−	0.568303i	$-0.807600\pi$
$569$	−39.2546			−1.64564			−0.822819	+	0.568303i	$0.807600\pi$
$570$	−6.65538	+	4.11312i	−0.278763	+	0.172280i
$571$	−20.4203			−0.854563			−0.427282	−	0.904119i	$-0.640529\pi$
$571$	−20.4203			−0.854563			−0.427282	+	0.904119i	$0.640529\pi$
$572$	29.0796	+	24.4007i	1.21588	+	1.02024i
$573$	−18.3026	+	6.66159i	−0.764601	+	0.278292i
$574$	1.29671	+	7.35402i	0.0541237	+	0.306951i
$575$	1.46285	−	8.29626i	0.0610052	−	0.345978i
$576$	−0.208307	−	0.0758175i	−0.00867946	−	0.00315906i
$577$	11.0328	+	19.1093i	0.459300	+	0.795531i	0.998924	−	0.0463754i	$-0.0147670\pi$
$577$	11.0328	+	19.1093i	0.459300	+	0.795531i	−0.539624	+	0.841906i	$0.681434\pi$
$578$	−5.22613	+	9.05191i	−0.217378	+	0.376510i
$579$	2.66231	−	2.23394i	0.110642	−	0.0928396i
$580$	3.41558	−	2.86601i	0.141824	−	0.119005i
$581$	9.18953	−	15.9167i	0.381246	−	0.660337i
$582$	−0.110801	−	0.191913i	−0.00459284	−	0.00795503i
$583$	−26.8622	−	9.77706i	−1.11252	−	0.404924i
$584$	1.09111	−	6.18799i	0.0451504	−	0.256061i
$585$	0.226226	+	1.28299i	0.00935330	+	0.0530452i
$586$	7.68549	−	2.79729i	0.317485	−	0.115555i
$587$	−2.17270	−	1.82311i	−0.0896768	−	0.0752478i	0.596847	−	0.802355i	$-0.296420\pi$
$587$	−2.17270	−	1.82311i	−0.0896768	−	0.0752478i	−0.686524	+	0.727107i	$0.740864\pi$
$588$	−9.23728			−0.380939
$589$	−0.183143	−	6.11073i	−0.00754629	−	0.251788i
$590$	10.2825			0.423325
$591$	16.8489	+	14.1379i	0.693070	+	0.581554i
$592$	4.16248	−	1.51502i	0.171077	−	0.0622669i
$593$	−7.28557	−	41.3185i	−0.299183	−	1.69675i	−0.649698	−	0.760192i	$-0.725105\pi$
$593$	−7.28557	−	41.3185i	−0.299183	−	1.69675i	0.350515	−	0.936557i	$-0.386006\pi$
$594$	5.59337	−	31.7216i	0.229499	−	1.30155i
$595$	3.27371	+	1.19153i	0.134209	+	0.0488481i
$596$	1.10957	+	1.92183i	0.0454498	+	0.0787213i
$597$	0.388574	−	0.673031i	0.0159033	−	0.0275453i
$598$	−37.9262	+	31.8238i	−1.55092	+	1.30137i
$599$	−23.2333	+	19.4950i	−0.949286	+	0.796546i	−0.979177	−	0.203008i	$-0.934928\pi$
$599$	−23.2333	+	19.4950i	−0.949286	+	0.796546i	0.0298911	+	0.999553i	$0.490484\pi$
$600$	0.897451	−	1.55443i	0.0366383	−	0.0634594i
$601$	−16.4125	−	28.4274i	−0.669482	−	1.15958i	−0.978049	−	0.208374i	$-0.933183\pi$
$601$	−16.4125	−	28.4274i	−0.669482	−	1.15958i	0.308568	−	0.951202i	$-0.400150\pi$
$602$	8.76875	+	3.19157i	0.357388	+	0.130078i
$603$	−0.258662	+	1.46695i	−0.0105335	+	0.0597387i
$604$	−2.02770	−	11.4997i	−0.0825060	−	0.467915i
$605$	−28.8687	+	10.5073i	−1.17368	+	0.427184i
$606$	−18.7741	−	15.7533i	−0.762644	−	0.639934i
$607$	−7.07201			−0.287044			−0.143522	−	0.989647i	$-0.545843\pi$
$607$	−7.07201			−0.287044			−0.143522	+	0.989647i	$0.545843\pi$
$608$	−2.90062	−	3.25368i	−0.117636	−	0.131954i
$609$	10.8958			0.441521
$610$	−4.95111	−	4.15448i	−0.200465	−	0.168210i
$611$	52.5651	−	19.1321i	2.12656	−	0.774003i
$612$	−0.0984995	−	0.558619i	−0.00398161	−	0.0225808i
$613$	−3.66501	+	20.7853i	−0.148028	+	0.839510i	0.816857	+	0.576840i	$0.195714\pi$
$613$	−3.66501	+	20.7853i	−0.148028	+	0.839510i	−0.964886	+	0.262670i	$0.915397\pi$
$614$	−5.68175	−	2.06799i	−0.229297	−	0.0834572i
$615$	4.92238	+	8.52582i	0.198490	+	0.343794i
$616$	4.39702	−	7.61585i	0.177161	−	0.306852i
$617$	−22.4149	+	18.8083i	−0.902390	+	0.757195i	−0.970656	−	0.240472i	$-0.922698\pi$
$617$	−22.4149	+	18.8083i	−0.902390	+	0.757195i	0.0682659	+	0.997667i	$0.478253\pi$
$618$	9.45197	−	7.93114i	0.380214	−	0.319037i
$619$	8.81402	−	15.2663i	0.354265	−	0.613606i	−0.632727	−	0.774375i	$-0.718064\pi$
$619$	8.81402	−	15.2663i	0.354265	−	0.613606i	0.986992	+	0.160770i	$0.0513976\pi$
$620$	0.701264	+	1.21462i	0.0281634	+	0.0487805i
$621$	39.4767	+	14.3683i	1.58414	+	0.576581i
$622$	−5.75062	+	32.6134i	−0.230579	+	1.30768i
$623$	−0.448246	−	2.54213i	−0.0179586	−	0.101848i
$624$	−9.91246	+	3.60784i	−0.396816	+	0.144429i
$625$	0.766044	+	0.642788i	0.0306418	+	0.0257115i
$626$	6.17199			0.246682
$627$	−31.3093	+	39.6682i	−1.25037	+	1.58420i
$628$	−4.16329			−0.166133
$629$	8.68293	+	7.28584i	0.346211	+	0.290505i
$630$	0.283604	−	0.103223i	0.0112991	−	0.00411252i
$631$	5.98586	+	33.9475i	0.238293	+	1.35143i	0.835566	+	0.549390i	$0.185140\pi$
$631$	5.98586	+	33.9475i	0.238293	+	1.35143i	−0.597273	+	0.802038i	$0.703749\pi$
$632$	0.623407	−	3.53552i	0.0247978	−	0.140635i
$633$	23.1831	+	8.43797i	0.921447	+	0.335379i
$634$	−8.20325	−	14.2084i	−0.325793	−	0.564289i
$635$	−4.59614	+	7.96075i	−0.182392	+	0.315913i
$636$	6.08516	−	5.10605i	0.241292	−	0.202468i
$637$	−23.1692	+	19.4413i	−0.917998	+	0.770292i
$638$	14.3999	−	24.9414i	0.570097	−	0.987438i
$639$	−0.214758	−	0.371972i	−0.00849570	−	0.0147150i
$640$	0.939693	+	0.342020i	0.0371446	+	0.0135195i
$641$	8.27820	−	46.9480i	0.326969	−	1.85434i	−0.168489	−	0.985704i	$-0.553889\pi$
$641$	8.27820	−	46.9480i	0.326969	−	1.85434i	0.495458	−	0.868632i	$-0.335000\pi$
$642$	−2.75531	−	15.6262i	−0.108744	−	0.616715i
$643$	8.90463	−	3.24102i	0.351164	−	0.127813i	−0.160414	−	0.987050i	$-0.551283\pi$
$643$	8.90463	−	3.24102i	0.351164	−	0.127813i	0.511579	+	0.859236i	$0.329061\pi$
$644$	8.78604	+	7.37236i	0.346219	+	0.290512i
$645$	12.3022			0.484400
$646$	3.49912	−	10.5907i	0.137671	−	0.416686i
$647$	16.8594			0.662810			0.331405	−	0.943489i	$-0.392477\pi$
$647$	16.8594			0.662810			0.331405	+	0.943489i	$0.392477\pi$
$648$	7.36620	+	6.18097i	0.289372	+	0.242812i
$649$	62.4116	−	22.7160i	2.44987	−	0.891679i
$650$	−1.02053	−	5.78770i	−0.0400284	−	0.227012i
$651$	−0.595156	+	3.37530i	−0.0233260	+	0.132288i
$652$	−4.51272	−	1.64249i	−0.176732	−	0.0643250i
$653$	−5.39386	−	9.34245i	−0.211078	−	0.365598i	0.740974	−	0.671534i	$-0.234364\pi$
$653$	−5.39386	−	9.34245i	−0.211078	−	0.365598i	−0.952052	+	0.305936i	$0.901031\pi$
$654$	−8.54023	+	14.7921i	−0.333949	+	0.578417i
$655$	0.0847217	−	0.0710900i	0.00331035	−	0.00277772i
$656$	−4.20164	+	3.52559i	−0.164046	+	0.137651i
$657$	0.696444	−	1.20628i	0.0271709	−	0.0470613i
$658$	−6.47941	−	11.2227i	−0.252594	−	0.437505i
$659$	18.6209	+	6.77745i	0.725367	+	0.264012i	0.678202	−	0.734875i	$-0.262759\pi$
$659$	18.6209	+	6.77745i	0.725367	+	0.264012i	0.0471644	+	0.998887i	$0.484982\pi$
$660$	2.01322	−	11.4175i	0.0783643	−	0.444426i
$661$	−4.06094	−	23.0307i	−0.157952	−	0.895792i	−0.956037	−	0.293247i	$-0.905264\pi$
$661$	−4.06094	−	23.0307i	−0.157952	−	0.895792i	0.798084	−	0.602546i	$-0.205847\pi$
$662$	16.0385	−	5.83754i	0.623355	−	0.226883i
$663$	−20.6774	−	17.3504i	−0.803043	−	0.673833i
$664$	13.4994			0.523878
$665$	5.87261	+	0.854974i	0.227730	+	0.0331545i
$666$	0.981938			0.0380493
$667$	28.7736	+	24.1439i	1.11412	+	0.934857i
$668$	3.63394	−	1.32265i	0.140601	−	0.0511747i
$669$	−7.01750	−	39.7982i	−0.271312	−	1.53869i
$670$	1.16685	−	6.61753i	0.0450793	−	0.255658i
$671$	−39.2296	−	14.2784i	−1.51444	−	0.551212i
$672$	1.22185	+	2.11631i	0.0471341	+	0.0816386i
$673$	10.9881	−	19.0320i	0.423560	−	0.733628i	−0.572724	−	0.819748i	$-0.694113\pi$
$673$	10.9881	−	19.0320i	0.423560	−	0.733628i	0.996285	+	0.0861200i	$0.0274468\pi$
$674$	−14.4450	+	12.1208i	−0.556399	+	0.466874i
$675$	−3.82013	+	3.20547i	−0.147037	+	0.123378i
$676$	−10.7695	+	18.6533i	−0.414210	+	0.717434i
$677$	23.2278	+	40.2317i	0.892716	+	1.54623i	0.836607	+	0.547804i	$0.184536\pi$
$677$	23.2278	+	40.2317i	0.892716	+	1.54623i	0.0561091	+	0.998425i	$0.482131\pi$
$678$	−18.6880	−	6.80187i	−0.717707	−	0.261224i
$679$	−0.0291884	+	0.165536i	−0.00112015	+	0.00635268i
$680$	0.444341	+	2.51998i	0.0170397	+	0.0966369i
$681$	31.7772	−	11.5660i	1.21770	−	0.443208i
$682$	6.93976	+	5.82315i	0.265737	+	0.222980i
$683$	−13.4198			−0.513496			−0.256748	−	0.966478i	$-0.582651\pi$
$683$	−13.4198			−0.513496			−0.256748	+	0.966478i	$0.582651\pi$
$684$	−0.357534	−	0.897681i	−0.0136706	−	0.0343237i
$685$	13.6508			0.521569
$686$	12.6681	+	10.6298i	0.483669	+	0.405846i
$687$	7.62081	−	2.77375i	0.290752	−	0.105825i
$688$	1.19018	+	6.74986i	0.0453753	+	0.257336i
$689$	4.51650	−	25.6143i	0.172065	−	0.975828i
$690$	14.2088	+	5.17158i	0.540920	+	0.196879i
$691$	20.9252	+	36.2436i	0.796033	+	1.37877i	0.922181	+	0.386759i	$0.126405\pi$
$691$	20.9252	+	36.2436i	0.796033	+	1.37877i	−0.126148	+	0.992011i	$0.540261\pi$
$692$	−5.76944	+	9.99296i	−0.219321	+	0.379875i
$693$	1.49334	−	1.25306i	0.0567275	−	0.0476000i
$694$	−4.14258	+	3.47604i	−0.157250	+	0.131949i
$695$	−1.20851	+	2.09320i	−0.0458414	+	0.0793997i
$696$	4.00148	+	6.93077i	0.151676	+	0.262710i
$697$	−13.1885	−	4.80023i	−0.499551	−	0.181822i
$698$	6.30481	−	35.7564i	0.238641	−	1.35340i
$699$	−3.35468	−	19.0253i	−0.126886	−	0.719605i
$700$	−1.27936	+	0.465651i	−0.0483555	+	0.0175999i
$701$	20.5106	+	17.2104i	0.774674	+	0.650028i	0.941901	−	0.335890i	$-0.109037\pi$
$701$	20.5106	+	17.2104i	0.774674	+	0.650028i	−0.167228	+	0.985918i	$0.553481\pi$
$702$	29.3075			1.10614
$703$	17.0031	+	9.14886i	0.641286	+	0.345056i
$704$	6.45921			0.243441
$705$	−13.0874	−	10.9816i	−0.492898	−	0.413591i
$706$	−1.15574	+	0.420656i	−0.0434970	+	0.0158316i
$707$	3.22806	+	18.3073i	0.121404	+	0.688515i
$708$	−3.20488	+	18.1757i	−0.120447	+	0.683086i
$709$	17.7455	+	6.45882i	0.666445	+	0.242566i	0.653016	−	0.757344i	$-0.273503\pi$
$709$	17.7455	+	6.45882i	0.666445	+	0.242566i	0.0134283	+	0.999910i	$0.495726\pi$
$710$	0.968795	+	1.67800i	0.0363582	+	0.0629743i
$711$	0.397914	−	0.689208i	0.0149230	−	0.0258473i
$712$	1.45242	−	1.21872i	0.0544317	−	0.0456736i
$713$	−9.05099	+	7.59468i	−0.338962	+	0.284423i
$714$	−3.12655	+	5.41535i	−0.117008	+	0.202664i
$715$	−18.9803	−	32.8749i	−0.709824	−	1.22945i
$716$	−7.87426	−	2.86600i	−0.294275	−	0.107107i
$717$	7.29398	−	41.3662i	0.272399	−	1.54485i
$718$	2.62718	+	14.8995i	0.0980455	+	0.556044i
$719$	−30.3154	+	11.0339i	−1.13057	+	0.411496i	−0.838501	−	0.544900i	$-0.816568\pi$
$719$	−30.3154	+	11.0339i	−1.13057	+	0.411496i	−0.292074	+	0.956396i	$0.594345\pi$
$720$	0.169813	+	0.142490i	0.00632857	+	0.00531030i
$721$	−9.35914			−0.348553
$722$	2.17281	−	18.8754i	0.0808637	−	0.702468i
$723$	−37.5052			−1.39483
$724$	−8.13969	−	6.83001i	−0.302509	−	0.253835i
$725$	−4.18982	+	1.52497i	−0.155606	+	0.0566360i
$726$	−9.57529	−	54.3042i	−0.355372	−	2.01542i
$727$	−3.11002	+	17.6378i	−0.115344	+	0.654150i	0.871235	+	0.490866i	$0.163320\pi$
$727$	−3.11002	+	17.6378i	−0.115344	+	0.654150i	−0.986579	+	0.163284i	$0.947791\pi$
$728$	7.51881	+	2.73662i	0.278666	+	0.101426i
$729$	−12.3605	−	21.4090i	−0.457796	−	0.792926i
$730$	−3.14173	+	5.44163i	−0.116280	+	0.201404i
$731$	−13.4352	+	11.2735i	−0.496918	+	0.416964i
$732$	8.88676	−	7.45688i	0.328464	−	0.275614i
$733$	23.9071	−	41.4082i	0.883027	−	1.52945i	0.0350693	−	0.999385i	$-0.488835\pi$
$733$	23.9071	−	41.4082i	0.883027	−	1.52945i	0.847958	−	0.530063i	$-0.177832\pi$
$734$	−1.05724	−	1.83120i	−0.0390235	−	0.0675907i
$735$	8.68020	+	3.15933i	0.320174	+	0.116534i
$736$	−1.46285	+	8.29626i	−0.0539215	+	0.305804i
$737$	−7.53693	−	42.7440i	−0.277626	−	1.57450i
$738$	−1.14253	+	0.415848i	−0.0420572	+	0.0153076i
$739$	−2.75913	−	2.31519i	−0.101496	−	0.0851656i	0.590627	−	0.806944i	$-0.298880\pi$
$739$	−2.75913	−	2.31519i	−0.101496	−	0.0851656i	−0.692124	+	0.721779i	$0.743325\pi$
$740$	−4.42962			−0.162836
$741$	−40.4910	−	21.7870i	−1.48747	−	0.800364i
$742$	−6.02540			−0.221199
$743$	−2.38245	−	1.99911i	−0.0874036	−	0.0733403i	0.598039	−	0.801467i	$-0.295947\pi$
$743$	−2.38245	−	1.99911i	−0.0874036	−	0.0733403i	−0.685443	+	0.728127i	$0.740391\pi$
$744$	−2.36558	+	0.861001i	−0.0867264	+	0.0315658i
$745$	−0.385350	−	2.18543i	−0.0141181	−	0.0800678i
$746$	−0.874756	+	4.96099i	−0.0320271	+	0.181635i
$747$	2.81202	+	1.02349i	0.102886	+	0.0374476i
$748$	8.26410	+	14.3138i	0.302165	+	0.523366i
$749$	−6.01781	+	10.4231i	−0.219886	+	0.380854i
$750$	−1.37498	+	1.15374i	−0.0502070	+	0.0421287i
$751$	15.5562	−	13.0532i	0.567654	−	0.476318i	−0.313213	−	0.949683i	$-0.601405\pi$
$751$	15.5562	−	13.0532i	0.567654	−	0.476318i	0.880866	+	0.473365i	$0.156961\pi$
$752$	4.75912	−	8.24304i	0.173547	−	0.300593i
$753$	16.0689	+	27.8321i	0.585582	+	1.01426i
$754$	24.6235	+	8.96223i	0.896736	+	0.326385i
$755$	−2.02770	+	11.4997i	−0.0737956	+	0.418516i
$756$	−1.17897	−	6.68627i	−0.0428787	−	0.243177i
$757$	36.7396	−	13.3721i	1.33532	−	0.486018i	0.426987	−	0.904258i	$-0.359575\pi$
$757$	36.7396	−	13.3721i	1.33532	−	0.486018i	0.908337	+	0.418239i	$0.137353\pi$
$758$	−28.5591	−	23.9639i	−1.03731	−	0.870408i
$759$	97.6677			3.54511
$760$	1.61287	+	4.04953i	0.0585049	+	0.146892i
$761$	4.22431			0.153131			0.0765656	−	0.997065i	$-0.475605\pi$
$761$	4.22431			0.153131			0.0765656	+	0.997065i	$0.475605\pi$
$762$	−12.6392	−	10.6055i	−0.457868	−	0.384197i
$763$	12.1746	−	4.43118i	0.440748	−	0.160419i
$764$	1.88432	+	10.6865i	0.0681724	+	0.386625i
$765$	−0.0984995	+	0.558619i	−0.00356126	+	0.0201969i
$766$	13.9869	+	5.09082i	0.505368	+	0.183939i
$767$	30.2151	+	52.3341i	1.09101	+	1.88968i
$768$	−0.897451	+	1.55443i	−0.0323840	+	0.0560907i
$769$	28.9268	−	24.2725i	1.04313	−	0.875288i	0.0507735	−	0.998710i	$-0.483831\pi$
$769$	28.9268	−	24.2725i	1.04313	−	0.875288i	0.992354	+	0.123422i	$0.0393869\pi$
$770$	−6.73662	+	5.65269i	−0.242771	+	0.203709i
$771$	0.436958	−	0.756833i	0.0157367	−	0.0272567i
$772$	−0.968131	−	1.67685i	−0.0348438	−	0.0603512i
$773$	−3.64243	−	1.32574i	−0.131009	−	0.0476834i	0.275684	−	0.961248i	$-0.411096\pi$
$773$	−3.64243	−	1.32574i	−0.131009	−	0.0476834i	−0.406693	+	0.913565i	$0.633318\pi$
$774$	−0.263834	+	1.49628i	−0.00948333	+	0.0537827i
$775$	−0.243546	−	1.38122i	−0.00874844	−	0.0496149i
$776$	−0.116016	+	0.0422263i	−0.00416473	+	0.00151584i
$777$	−8.29220	−	6.95798i	−0.297481	−	0.249616i
$778$	−30.8414			−1.10572
$779$	−23.6585	−	3.44436i	−0.847653	−	0.123407i
$780$	10.5486			0.377701
$781$	9.58727	+	8.04468i	0.343060	+	0.287861i
$782$	−20.2564	+	7.37273i	−0.724368	+	0.263648i
$783$	−3.86104	−	21.8970i	−0.137982	−	0.782536i
$784$	−0.893662	+	5.06821i	−0.0319165	+	0.181007i
$785$	3.91221	+	1.42393i	0.139633	+	0.0508222i
$786$	0.0992549	+	0.171914i	0.00354030	+	0.00613199i
$787$	−3.41520	+	5.91530i	−0.121739	+	0.210858i	−0.920453	−	0.390852i	$-0.872180\pi$
$787$	−3.41520	+	5.91530i	−0.121739	+	0.210858i	0.798715	+	0.601710i	$0.205514\pi$
$788$	9.38706	−	7.87668i	0.334400	−	0.280595i
$789$	−30.3436	+	25.4613i	−1.08026	+	0.906445i
$790$	−1.79503	+	3.10908i	−0.0638643	+	0.110616i
$791$	7.54248	+	13.0640i	0.268180	+	0.464501i
$792$	1.34550	+	0.489721i	0.0478102	+	0.0174015i
$793$	6.59589	−	37.4072i	0.234227	−	1.32837i
$794$	3.84704	+	21.8176i	0.136526	+	0.774279i
$795$	−7.46455	+	2.71687i	−0.264740	+	0.0963576i
$796$	−0.331678	−	0.278311i	−0.0117560	−	0.00986448i
$797$	−26.0356			−0.922229			−0.461114	−	0.887341i	$-0.652550\pi$
$797$	−26.0356			−0.922229			−0.461114	+	0.887341i	$0.652550\pi$
$798$	−3.34167	+	10.1141i	−0.118294	+	0.358037i
$799$	24.3558			0.861647
$800$	−0.766044	−	0.642788i	−0.0270838	−	0.0227260i
$801$	0.394949	−	0.143750i	0.0139548	−	0.00507915i
$802$	−5.39528	−	30.5981i	−0.190514	−	1.08046i
$803$	−7.04771	+	39.9695i	−0.248708	+	1.41049i
$804$	11.3337	+	4.12513i	0.399709	+	0.145482i
$805$	−5.73468	−	9.93276i	−0.202121	−	0.350084i
$806$	−4.12131	+	7.13833i	−0.145167	+	0.251437i
$807$	24.4048	−	20.4781i	0.859089	−	0.720862i
$808$	−10.4596	+	8.77669i	−0.367969	+	0.308763i
$809$	−1.43475	+	2.48505i	−0.0504430	+	0.0873698i	−0.890144	−	0.455679i	$-0.849397\pi$
$809$	−1.43475	+	2.48505i	−0.0504430	+	0.0873698i	0.839701	+	0.543048i	$0.182730\pi$
$810$	−4.80794	−	8.32760i	−0.168934	−	0.292602i
$811$	−14.8021	−	5.38752i	−0.519772	−	0.189181i	0.0687939	−	0.997631i	$-0.478085\pi$
$811$	−14.8021	−	5.38752i	−0.519772	−	0.189181i	−0.588566	+	0.808449i	$0.700307\pi$
$812$	1.05412	−	5.97820i	0.0369923	−	0.209794i
$813$	3.40416	+	19.3060i	0.119389	+	0.677089i
$814$	−26.8863	+	9.78582i	−0.942365	+	0.342993i
$815$	3.67880	+	3.08688i	0.128863	+	0.108129i
$816$	−4.59290			−0.160784
$817$	−18.5096	+	23.4512i	−0.647569	+	0.820455i
$818$	−2.03692			−0.0712193
$819$	1.35874	+	1.14011i	0.0474781	+	0.0398388i
$820$	5.15407	−	1.87593i	0.179988	−	0.0655103i
$821$	−2.78936	−	15.8192i	−0.0973493	−	0.552095i	−0.994002	−	0.109361i	$-0.965120\pi$
$821$	−2.78936	−	15.8192i	−0.0973493	−	0.552095i	0.896653	−	0.442734i	$-0.145992\pi$
$822$	−4.25469	+	24.1296i	−0.148399	+	0.841615i
$823$	38.3389	+	13.9542i	1.33641	+	0.486413i	0.908680	−	0.417494i	$-0.137092\pi$
$823$	38.3389	+	13.9542i	1.33641	+	0.486413i	0.427729	+	0.903907i	$0.359314\pi$
$824$	−3.43714	−	5.95330i	−0.119738	−	0.207393i
$825$	−5.79683	+	10.0404i	−0.201820	+	0.349562i
$826$	10.7241	−	8.99862i	0.373141	−	0.313102i
$827$	−18.6581	+	15.6560i	−0.648806	+	0.544413i	−0.906708	−	0.421758i	$-0.861413\pi$
$827$	−18.6581	+	15.6560i	−0.648806	+	0.544413i	0.257903	+	0.966171i	$0.416969\pi$
$828$	−0.933724	+	1.61726i	−0.0324492	+	0.0562036i
$829$	−7.31291	−	12.6663i	−0.253988	−	0.439920i	0.710632	−	0.703564i	$-0.248409\pi$
$829$	−7.31291	−	12.6663i	−0.253988	−	0.439920i	−0.964620	+	0.263644i	$0.915076\pi$
$830$	−12.6853	−	4.61707i	−0.440313	−	0.160261i
$831$	2.82373	−	16.0142i	0.0979541	−	0.555525i
$832$	1.02053	+	5.78770i	0.0353804	+	0.200652i
$833$	−12.3747	+	4.50402i	−0.428758	+	0.156055i
$834$	−3.32334	−	2.78862i	−0.115078	−	0.0965619i
$835$	−3.86716			−0.133828
$836$	18.7357	+	21.0162i	0.647988	+	0.726860i
$837$	6.99415			0.241753
$838$	8.59776	+	7.21438i	0.297005	+	0.249217i
$839$	−49.0332	+	17.8466i	−1.69282	+	0.616134i	−0.994975	−	0.100119i	$-0.968078\pi$
$839$	−49.0332	+	17.8466i	−1.69282	+	0.616134i	−0.697840	+	0.716254i	$0.745855\pi$
$840$	−0.424346	−	2.40658i	−0.0146413	−	0.0830350i
$841$	−1.58364	+	8.98128i	−0.0546083	+	0.309699i
$842$	−9.19144	−	3.34541i	−0.316758	−	0.115291i
$843$	−13.7313	−	23.7834i	−0.472932	−	0.819142i
$844$	6.87251	−	11.9035i	0.236562	−	0.409737i
$845$	16.4998	−	13.8450i	0.567610	−	0.476281i
$846$	1.61633	−	1.35626i	0.0555704	−	0.0466291i
$847$	−20.9132	+	36.2226i	−0.718584	+	1.24462i
$848$	−2.21282	−	3.83272i	−0.0759887	−	0.131616i
$849$	16.6140	+	6.04701i	0.570192	+	0.207533i
$850$	0.444341	−	2.51998i	0.0152408	−	0.0864347i
$851$	−6.47988	−	36.7492i	−0.222127	−	1.25975i
$852$	−3.26805	+	1.18947i	−0.111962	+	0.0407507i
$853$	−8.57401	−	7.19445i	−0.293569	−	0.246333i	0.484093	−	0.875017i	$-0.339150\pi$
$853$	−8.57401	−	7.19445i	−0.293569	−	0.246333i	−0.777661	+	0.628683i	$0.783594\pi$
$854$	−8.79949			−0.301112
$855$	0.0289466	+	0.965828i	0.000989953	+	0.0330306i
$856$	−8.84015			−0.302150
$857$	25.3642	+	21.2831i	0.866424	+	0.727016i	0.963342	−	0.268276i	$-0.0864540\pi$
$857$	25.3642	+	21.2831i	0.866424	+	0.727016i	−0.0969180	+	0.995292i	$0.530898\pi$
$858$	64.0266	−	23.3038i	2.18583	−	0.795578i
$859$	1.64149	+	9.30936i	0.0560070	+	0.317631i	0.999921	−	0.0125596i	$-0.00399795\pi$
$859$	1.64149	+	9.30936i	0.0560070	+	0.317631i	−0.943914	+	0.330191i	$0.892887\pi$
$860$	1.19018	−	6.74986i	0.0405849	−	0.230168i
$861$	12.5951	+	4.58422i	0.429238	+	0.156230i
$862$	−2.43721	−	4.22137i	−0.0830117	−	0.143780i
$863$	−27.5359	+	47.6935i	−0.937332	+	1.62351i	−0.166910	+	0.985972i	$0.553379\pi$
$863$	−27.5359	+	47.6935i	−0.937332	+	1.62351i	−0.770422	+	0.637535i	$0.779954\pi$
$864$	3.82013	−	3.20547i	0.129963	−	0.109052i
$865$	8.83929	−	7.41704i	0.300545	−	0.252187i
$866$	−9.95802	+	17.2478i	−0.338387	+	0.586104i
$867$	9.38039	+	16.2473i	0.318575	+	0.551787i
$868$	1.79434	+	0.653088i	0.0609040	+	0.0221672i
$869$	−4.02672	+	22.8367i	−0.136597	+	0.774680i
$870$	−1.38970	−	7.88138i	−0.0471153	−	0.267204i
$871$	37.1095	−	13.5068i	1.25741	−	0.457659i
$872$	7.28975	+	6.11683i	0.246862	+	0.207142i
$873$	−0.0273684			−0.000926281
$874$	−31.2365	+	19.3046i	−1.05659	+	0.652989i
$875$	1.36147			0.0460261
$876$	−8.63959	−	7.24948i	−0.291905	−	0.244937i
$877$	16.6833	−	6.07221i	0.563354	−	0.205044i	−0.0446161	−	0.999004i	$-0.514206\pi$
$877$	16.6833	−	6.07221i	0.563354	−	0.205044i	0.607970	+	0.793960i	$0.291984\pi$
$878$	3.70055	+	20.9869i	0.124888	+	0.708273i
$879$	2.54916	−	14.4570i	0.0859810	−	0.487622i
$880$	−6.06967	−	2.20918i	−0.204609	−	0.0744714i
$881$	−9.17773	−	15.8963i	−0.309206	−	0.535560i	0.668983	−	0.743278i	$-0.266730\pi$
$881$	−9.17773	−	15.8963i	−0.309206	−	0.535560i	−0.978189	+	0.207718i	$0.933396\pi$
$882$	−0.570415	+	0.987988i	−0.0192069	+	0.0332673i
$883$	18.0924	−	15.1814i	0.608859	−	0.510893i	−0.285421	−	0.958402i	$-0.592133\pi$
$883$	18.0924	−	15.1814i	0.608859	−	0.510893i	0.894279	+	0.447509i	$0.147689\pi$
$884$	−11.5201	+	9.66647i	−0.387461	+	0.325119i
$885$	9.22807	−	15.9835i	0.310198	−	0.537279i
$886$	−3.09253	−	5.35641i	−0.103895	−	0.179952i
$887$	−3.42345	−	1.24604i	−0.114948	−	0.0418378i	0.283906	−	0.958852i	$-0.408370\pi$
$887$	−3.42345	−	1.24604i	−0.114948	−	0.0418378i	−0.398854	+	0.917014i	$0.630592\pi$
$888$	1.38063	−	7.82994i	0.0463309	−	0.262756i
$889$	2.17321	+	12.3249i	0.0728872	+	0.413364i
$890$	−1.78165	+	0.648469i	−0.0597212	+	0.0217367i
$891$	−47.5798	−	39.9242i	−1.59398	−	1.33751i
$892$	−22.5150			−0.753856
$893$	40.6246	−	8.42529i	1.35945	−	0.281942i
$894$	3.98314			0.133216
$895$	6.41916	+	5.38631i	0.214569	+	0.180045i
$896$	1.27936	−	0.465651i	0.0427406	−	0.0155563i
$897$	15.4311	+	87.5140i	0.515229	+	2.92201i
$898$	−7.07398	+	40.1186i	−0.236062	+	1.33877i
$899$	5.87634	+	2.13881i	0.195987	+	0.0713334i
$900$	−0.110838	−	0.191977i	−0.00369459	−	0.00639922i
$901$	5.66230	−	9.80740i	0.188639	−	0.326732i
$902$	27.1393	−	22.7725i	0.903638	−	0.758243i
$903$	12.8306	−	10.7662i	0.426976	−	0.358275i
$904$	−5.53995	+	9.59547i	−0.184256	+	0.319141i
$905$	5.31280	+	9.20205i	0.176604	+	0.305886i
$906$	−19.6952	−	7.16847i	−0.654330	−	0.238156i
$907$	−0.179915	+	1.02035i	−0.00597397	+	0.0338801i	−0.987649	−	0.156682i	$-0.949920\pi$
$907$	−0.179915	+	1.02035i	−0.00597397	+	0.0338801i	0.981675	+	0.190563i	$0.0610312\pi$
$908$	−3.27159	−	18.5541i	−0.108572	−	0.615740i
$909$	−2.84424	+	1.03522i	−0.0943376	+	0.0343361i
$910$	−6.12939	−	5.14317i	−0.203187	−	0.170494i
$911$	−20.4703			−0.678210			−0.339105	−	0.940749i	$-0.610124\pi$
$911$	−20.4703			−0.678210			−0.339105	+	0.940749i	$0.610124\pi$
$912$	−7.66078	+	1.58880i	−0.253674	+	0.0526104i
$913$	−87.1955			−2.88575
$914$	−11.2664	−	9.45366i	−0.372660	−	0.312699i
$915$	−10.9012	+	3.96772i	−0.360384	+	0.131169i
$916$	−0.784593	−	4.44965i	−0.0259237	−	0.147021i
$917$	0.0261469	−	0.148286i	0.000863446	−	0.00489684i
$918$	11.9910	+	4.36437i	0.395762	+	0.144046i
$919$	21.9810	+	38.0723i	0.725088	+	1.25589i	0.958938	+	0.283616i	$0.0915342\pi$
$919$	21.9810	+	38.0723i	0.725088	+	1.25589i	−0.233850	+	0.972273i	$0.575132\pi$
$920$	4.21212	−	7.29560i	0.138869	−	0.240529i
$921$	−8.31364	+	6.97597i	−0.273944	+	0.229866i
$922$	10.7264	−	9.00052i	0.353255	−	0.296416i
$923$	−5.69359	+	9.86159i	−0.187407	+	0.324598i
$924$	−7.89222	−	13.6697i	−0.259635	−	0.449701i
$925$	4.16248	+	1.51502i	0.136861	+	0.0498135i
$926$	−0.394865	+	2.23939i	−0.0129761	+	0.0735910i
$927$	−0.264616	−	1.50071i	−0.00869112	−	0.0492898i
$928$	4.18982	−	1.52497i	0.137538	−	0.0500596i
$929$	5.62577	+	4.72058i	0.184576	+	0.154877i	0.730394	−	0.683026i	$-0.239337\pi$
$929$	5.62577	+	4.72058i	0.184576	+	0.154877i	−0.545818	+	0.837904i	$0.683781\pi$
$930$	2.51740			0.0825488
$931$	−19.0825	+	11.7933i	−0.625403	+	0.386508i
$932$	−10.7632			−0.352559
$933$	45.5343	+	38.2078i	1.49073	+	1.25087i
$934$	−27.6884	+	10.0778i	−0.905994	+	0.329755i
$935$	−2.87009	−	16.2771i	−0.0938620	−	0.532318i
$936$	−0.226226	+	1.28299i	−0.00739443	+	0.0419359i
$937$	−0.437322	−	0.159172i	−0.0142867	−	0.00519993i	0.334867	−	0.942265i	$-0.391309\pi$
$937$	−0.437322	−	0.159172i	−0.0142867	−	0.00519993i	−0.349154	+	0.937066i	$0.613531\pi$
$938$	−4.57429	−	7.92290i	−0.149356	−	0.258692i
$939$	5.53906	−	9.59394i	0.180761	−	0.313086i
$940$	−7.29140	+	6.11821i	−0.237819	+	0.199554i
$941$	31.9901	−	26.8429i	1.04285	−	0.875054i	0.0505251	−	0.998723i	$-0.483911\pi$
$941$	31.9901	−	26.8429i	1.04285	−	0.875054i	0.992324	+	0.123669i	$0.0394661\pi$
$942$	−3.73635	+	6.47155i	−0.121737	+	0.210854i
$943$	23.1028	+	40.0153i	0.752332	+	1.30308i
$944$	9.66242	+	3.51683i	0.314485	+	0.114463i
$945$	−1.17897	+	6.68627i	−0.0383519	+	0.217504i
$946$	−7.68764	−	43.5988i	−0.249947	−	1.41752i
$947$	33.0668	−	12.0353i	1.07453	−	0.391096i	0.256659	−	0.966502i	$-0.417378\pi$
$947$	33.0668	−	12.0353i	1.07453	−	0.391096i	0.817868	+	0.575406i	$0.195156\pi$
$948$	−4.93624	−	4.14200i	−0.160322	−	0.134526i
$949$	−36.9277			−1.19873
$950$	−0.130581	−	4.35694i	−0.00423660	−	0.141358i
$951$	−29.4481			−0.954919
$952$	2.66875	+	2.23935i	0.0864948	+	0.0725778i
$953$	−8.92435	+	3.24820i	−0.289088	+	0.105219i	−0.482494	−	0.875899i	$-0.660269\pi$
$953$	−8.92435	+	3.24820i	−0.289088	+	0.105219i	0.193406	+	0.981119i	$0.438047\pi$
$954$	−0.170359	−	0.966154i	−0.00551558	−	0.0312804i
$955$	1.88432	−	10.6865i	0.0609753	−	0.345808i
$956$	−21.9907	−	8.00397i	−0.711231	−	0.258867i
$957$	−25.8464	−	44.7673i	−0.835496	−	1.44712i
$958$	10.2272	−	17.7140i	0.330426	−	0.572314i
$959$	14.2370	−	11.9463i	0.459738	−	0.385766i
$960$	1.37498	−	1.15374i	0.0443771	−	0.0372368i
$961$	14.5165	−	25.1432i	0.468273	−	0.811072i
$962$	−13.0164	−	22.5451i	−0.419665	−	0.726882i
$963$	−1.84146	−	0.670238i	−0.0593404	−	0.0215981i
$964$	−3.62845	+	20.5780i	−0.116864	+	0.662771i
$965$	0.336228	+	1.90685i	0.0108236	+	0.0613835i
$966$	19.3449	−	7.04096i	0.622411	−	0.226539i
$967$	−16.5011	−	13.8461i	−0.530641	−	0.445260i	0.337682	−	0.941260i	$-0.390357\pi$
$967$	−16.5011	−	13.8461i	−0.530641	−	0.445260i	−0.868323	+	0.496000i	$0.834802\pi$
$968$	−30.7214			−0.987423
$969$	−13.3223	−	14.9438i	−0.427972	−	0.480064i
$970$	0.123462			0.00396411
$971$	−16.6642	−	13.9829i	−0.534779	−	0.448733i	0.334969	−	0.942229i	$-0.391274\pi$
$971$	−16.6642	−	13.9829i	−0.534779	−	0.448733i	−0.869748	+	0.493496i	$0.835719\pi$
$972$	2.16046	−	0.786344i	0.0692968	−	0.0252220i
$973$	0.571425	+	3.24071i	0.0183190	+	0.103892i
$974$	−5.05654	+	28.6771i	−0.162022	+	0.918873i
$975$	−9.91246	−	3.60784i	−0.317453	−	0.115543i
$976$	−3.23161	−	5.59731i	−0.103441	−	0.179166i
$977$	−21.1566	+	36.6442i	−0.676859	+	1.17235i	0.299063	+	0.954233i	$0.403326\pi$
$977$	−21.1566	+	36.6442i	−0.676859	+	1.17235i	−0.975922	+	0.218120i	$0.930008\pi$
$978$	−6.60309	+	5.54065i	−0.211143	+	0.177170i
$979$	−9.38147	+	7.87199i	−0.299833	+	0.251590i
$980$	2.57320	−	4.45691i	0.0821978	−	0.142371i
$981$	1.05474	+	1.82687i	0.0336753	+	0.0583274i
$982$	15.6448	+	5.69426i	0.499247	+	0.181711i
$983$	−2.16108	+	12.2561i	−0.0689276	+	0.390908i	0.930753	+	0.365648i	$0.119153\pi$
$983$	−2.16108	+	12.2561i	−0.0689276	+	0.390908i	−0.999681	+	0.0252602i	$0.991959\pi$
$984$	1.70953	+	9.69520i	0.0544977	+	0.309072i
$985$	−11.5149	+	4.19109i	−0.366896	+	0.133539i
$986$	8.73997	+	7.33371i	0.278337	+	0.233553i
$987$	−23.2598			−0.740369
$988$	−15.8711	+	20.1084i	−0.504928	+	0.639733i
$989$	57.7396			1.83601
$990$	−1.09686	−	0.920375i	−0.0348605	−	0.0292514i
$991$	11.7729	−	4.28498i	0.373978	−	0.136117i	−0.148191	−	0.988959i	$-0.547345\pi$
$991$	11.7729	−	4.28498i	0.373978	−	0.136117i	0.522169	+	0.852842i	$0.325123\pi$
$992$	0.243546	+	1.38122i	0.00773260	+	0.0438538i
$993$	5.31973	−	30.1697i	0.168817	−	0.957406i
$994$	2.47888	+	0.902240i	0.0786254	+	0.0286173i
$995$	0.216488	+	0.374968i	0.00686312	+	0.0118873i
$996$	12.1151	−	20.9839i	0.383880	−	0.664900i
$997$	−16.9956	+	14.2610i	−0.538257	+	0.451651i	−0.870941	−	0.491387i	$-0.836490\pi$
$997$	−16.9956	+	14.2610i	−0.538257	+	0.451651i	0.332684	+	0.943038i	$0.392046\pi$
$998$	−22.4546	+	18.8417i	−0.710788	+	0.596422i
$999$	−11.0449	+	19.1303i	−0.349444	+	0.605254i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	190.2.k.d.111.1	yes	18
5.2	odd	4		950.2.u.g.149.6		36
5.3	odd	4		950.2.u.g.149.1		36
5.4	even	2		950.2.l.i.301.3		18
19.5	even	9		3610.2.a.bi.1.7		9
19.6	even	9	inner	190.2.k.d.101.1	✓	18
19.14	odd	18		3610.2.a.bj.1.3		9
95.44	even	18		950.2.l.i.101.3		18
95.63	odd	36		950.2.u.g.899.6		36
95.82	odd	36		950.2.u.g.899.1		36

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
190.2.k.d.101.1	✓	18	19.6	even	9	inner
190.2.k.d.111.1	yes	18	1.1	even	1	trivial
950.2.l.i.101.3		18	95.44	even	18
950.2.l.i.301.3		18	5.4	even	2
950.2.u.g.149.1		36	5.3	odd	4
950.2.u.g.149.6		36	5.2	odd	4
950.2.u.g.899.1		36	95.82	odd	36
950.2.u.g.899.6		36	95.63	odd	36
3610.2.a.bi.1.7		9	19.5	even	9
3610.2.a.bj.1.3		9	19.14	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:	\( N \)	\(=\)	\( 190 = 2 \cdot 5 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	190.k (of order \(9\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.766044 - 0.642788i) q^{2} +(-1.68666 + 0.613893i) q^{3} +(0.173648 + 0.984808i) q^{4} +(0.173648 - 0.984808i) q^{5} +(1.68666 + 0.613893i) q^{6} +(-0.680736 - 1.17907i) q^{7} +(0.500000 - 0.866025i) q^{8} +(0.169813 - 0.142490i) q^{9} +O(q^{10})\)	\(q+(-0.766044 - 0.642788i) q^{2} +(-1.68666 + 0.613893i) q^{3} +(0.173648 + 0.984808i) q^{4} +(0.173648 - 0.984808i) q^{5} +(1.68666 + 0.613893i) q^{6} +(-0.680736 - 1.17907i) q^{7} +(0.500000 - 0.866025i) q^{8} +(0.169813 - 0.142490i) q^{9} +(-0.766044 + 0.642788i) q^{10} +(-3.22960 + 5.59384i) q^{11} +(-0.897451 - 1.55443i) q^{12} +(-5.52256 - 2.01005i) q^{13} +(-0.236417 + 1.34079i) q^{14} +(0.311682 + 1.76763i) q^{15} +(-0.939693 + 0.342020i) q^{16} +(-1.96020 - 1.64480i) q^{17} -0.221676 q^{18} +(-3.83851 - 2.06538i) q^{19} +1.00000 q^{20} +(1.87199 + 1.57079i) q^{21} +(6.06967 - 2.20918i) q^{22} +(1.46285 + 8.29626i) q^{23} +(-0.311682 + 1.76763i) q^{24} +(-0.939693 - 0.342020i) q^{25} +(2.93849 + 5.08962i) q^{26} +(2.49341 - 4.31871i) q^{27} +(1.04295 - 0.875137i) q^{28} +(3.41558 - 2.86601i) q^{29} +(0.897451 - 1.55443i) q^{30} +(0.701264 + 1.21462i) q^{31} +(0.939693 + 0.342020i) q^{32} +(2.01322 - 11.4175i) q^{33} +(0.444341 + 2.51998i) q^{34} +(-1.27936 + 0.465651i) q^{35} +(0.169813 + 0.142490i) q^{36} -4.42962 q^{37} +(1.61287 + 4.04953i) q^{38} +10.5486 q^{39} +(-0.766044 - 0.642788i) q^{40} +(5.15407 - 1.87593i) q^{41} +(-0.424346 - 2.40658i) q^{42} +(1.19018 - 6.74986i) q^{43} +(-6.06967 - 2.20918i) q^{44} +(-0.110838 - 0.191977i) q^{45} +(4.21212 - 7.29560i) q^{46} +(-7.29140 + 6.11821i) q^{47} +(1.37498 - 1.15374i) q^{48} +(2.57320 - 4.45691i) q^{49} +(0.500000 + 0.866025i) q^{50} +(4.31591 + 1.57086i) q^{51} +(1.02053 - 5.78770i) q^{52} +(0.768506 + 4.35841i) q^{53} +(-4.68608 + 1.70559i) q^{54} +(4.94804 + 4.15190i) q^{55} -1.36147 q^{56} +(7.74218 + 1.12716i) q^{57} -4.45872 q^{58} +(-7.87687 - 6.60948i) q^{59} +(-1.68666 + 0.613893i) q^{60} +(1.12233 + 6.36503i) q^{61} +(0.243546 - 1.38122i) q^{62} +(-0.283604 - 0.103223i) q^{63} +(-0.500000 - 0.866025i) q^{64} +(-2.93849 + 5.08962i) q^{65} +(-8.88125 + 7.45226i) q^{66} +(-5.14753 + 4.31929i) q^{67} +(1.27943 - 2.21604i) q^{68} +(-7.56034 - 13.0949i) q^{69} +(1.27936 + 0.465651i) q^{70} +(0.336459 - 1.90815i) q^{71} +(-0.0384936 - 0.218308i) q^{72} +(5.90451 - 2.14907i) q^{73} +(3.39328 + 2.84730i) q^{74} +1.79490 q^{75} +(1.36746 - 4.13885i) q^{76} +8.79403 q^{77} +(-8.08071 - 6.78052i) q^{78} +(3.37355 - 1.22787i) q^{79} +(0.173648 + 0.984808i) q^{80} +(-1.66978 + 9.46980i) q^{81} +(-5.15407 - 1.87593i) q^{82} +(6.74970 + 11.6908i) q^{83} +(-1.22185 + 2.11631i) q^{84} +(-1.96020 + 1.64480i) q^{85} +(-5.25046 + 4.40566i) q^{86} +(-4.00148 + 6.93077i) q^{87} +(3.22960 + 5.59384i) q^{88} +(1.78165 + 0.648469i) q^{89} +(-0.0384936 + 0.218308i) q^{90} +(1.38942 + 7.87979i) q^{91} +(-7.91619 + 2.88126i) q^{92} +(-1.92844 - 1.61815i) q^{93} +9.51825 q^{94} +(-2.70056 + 3.42155i) q^{95} -1.79490 q^{96} +(-0.0945771 - 0.0793596i) q^{97} +(-4.83603 + 1.76017i) q^{98} +(0.248638 + 1.41010i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 18 q + 9 q^{8} - 18 q^{9}+O(q^{10}) \) 18 * q + 9 * q^8 - 18 * q^9	\( 18 q + 9 q^{8} - 18 q^{9} - 12 q^{11} - 6 q^{13} + 6 q^{14} - 42 q^{18} + 18 q^{20} + 12 q^{21} - 3 q^{22} + 9 q^{23} - 9 q^{26} - 18 q^{27} + 3 q^{28} - 6 q^{29} - 6 q^{31} + 66 q^{33} + 18 q^{34} + 3 q^{35} - 18 q^{36} - 12 q^{37} - 6 q^{38} + 48 q^{39} - 21 q^{41} + 42 q^{42} + 18 q^{43} + 3 q^{44} - 21 q^{45} + 18 q^{46} - 54 q^{47} - 39 q^{49} + 9 q^{50} + 42 q^{51} + 12 q^{52} - 24 q^{53} - 54 q^{54} - 6 q^{55} - 18 q^{57} - 30 q^{59} + 48 q^{61} - 30 q^{62} - 57 q^{63} - 9 q^{64} + 9 q^{65} + 24 q^{66} - 6 q^{67} - 6 q^{68} - 30 q^{69} - 3 q^{70} + 30 q^{71} + 6 q^{73} - 3 q^{74} - 21 q^{76} + 30 q^{77} - 24 q^{78} + 30 q^{79} + 18 q^{81} + 21 q^{82} + 6 q^{83} + 6 q^{84} + 36 q^{86} + 24 q^{87} + 12 q^{88} + 30 q^{89} - 60 q^{91} - 18 q^{92} - 12 q^{93} + 6 q^{94} - 12 q^{95} - 12 q^{97} - 18 q^{98} + 171 q^{99}+O(q^{100}) \) 18 * q + 9 * q^8 - 18 * q^9 - 12 * q^11 - 6 * q^13 + 6 * q^14 - 42 * q^18 + 18 * q^20 + 12 * q^21 - 3 * q^22 + 9 * q^23 - 9 * q^26 - 18 * q^27 + 3 * q^28 - 6 * q^29 - 6 * q^31 + 66 * q^33 + 18 * q^34 + 3 * q^35 - 18 * q^36 - 12 * q^37 - 6 * q^38 + 48 * q^39 - 21 * q^41 + 42 * q^42 + 18 * q^43 + 3 * q^44 - 21 * q^45 + 18 * q^46 - 54 * q^47 - 39 * q^49 + 9 * q^50 + 42 * q^51 + 12 * q^52 - 24 * q^53 - 54 * q^54 - 6 * q^55 - 18 * q^57 - 30 * q^59 + 48 * q^61 - 30 * q^62 - 57 * q^63 - 9 * q^64 + 9 * q^65 + 24 * q^66 - 6 * q^67 - 6 * q^68 - 30 * q^69 - 3 * q^70 + 30 * q^71 + 6 * q^73 - 3 * q^74 - 21 * q^76 + 30 * q^77 - 24 * q^78 + 30 * q^79 + 18 * q^81 + 21 * q^82 + 6 * q^83 + 6 * q^84 + 36 * q^86 + 24 * q^87 + 12 * q^88 + 30 * q^89 - 60 * q^91 - 18 * q^92 - 12 * q^93 + 6 * q^94 - 12 * q^95 - 12 * q^97 - 18 * q^98 + 171 * q^99

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