LMFDB - Embedded newform 190.2.k.d.111.2

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			111.2
Root			$-0.288205 + 0.499186i$ of defining polynomial
Character	$\chi$	$=$	190.111
Dual form			190.2.k.d.101.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.766044 - 0.642788i) q^{2} +(-0.541649 + 0.197144i) q^{3} +(0.173648 + 0.984808i) q^{4} +(0.173648 - 0.984808i) q^{5} +(0.541649 + 0.197144i) q^{6} +(2.43209 + 4.21251i) q^{7} +(0.500000 - 0.866025i) q^{8} +(-2.04362 + 1.71480i) q^{9} +O(q^{10})$	\(q+(-0.766044 - 0.642788i) q^{2} +(-0.541649 + 0.197144i) q^{3} +(0.173648 + 0.984808i) q^{4} +(0.173648 - 0.984808i) q^{5} +(0.541649 + 0.197144i) q^{6} +(2.43209 + 4.21251i) q^{7} +(0.500000 - 0.866025i) q^{8} +(-2.04362 + 1.71480i) q^{9} +(-0.766044 + 0.642788i) q^{10} +(2.68454 - 4.64975i) q^{11} +(-0.288205 - 0.499186i) q^{12} +(3.62457 + 1.31923i) q^{13} +(0.844657 - 4.79029i) q^{14} +(0.100093 + 0.567654i) q^{15} +(-0.939693 + 0.342020i) q^{16} +(1.07407 + 0.901248i) q^{17} +2.66775 q^{18} +(4.35299 - 0.226908i) q^{19} +1.00000 q^{20} +(-2.14781 - 1.80223i) q^{21} +(-5.04528 + 1.83633i) q^{22} +(0.927092 + 5.25780i) q^{23} +(-0.100093 + 0.567654i) q^{24} +(-0.939693 - 0.342020i) q^{25} +(-1.92859 - 3.34042i) q^{26} +(1.63348 - 2.82926i) q^{27} +(-3.72618 + 3.12664i) q^{28} +(-2.78364 + 2.33575i) q^{29} +(0.288205 - 0.499186i) q^{30} +(-4.10189 - 7.10468i) q^{31} +(0.939693 + 0.342020i) q^{32} +(-0.537405 + 3.04777i) q^{33} +(-0.243471 - 1.38079i) q^{34} +(4.57084 - 1.66365i) q^{35} +(-2.04362 - 1.71480i) q^{36} -10.4594 q^{37} +(-3.48044 - 2.62423i) q^{38} -2.22332 q^{39} +(-0.766044 - 0.642788i) q^{40} +(1.79322 - 0.652678i) q^{41} +(0.486869 + 2.76117i) q^{42} +(0.256764 - 1.45618i) q^{43} +(5.04528 + 1.83633i) q^{44} +(1.33388 + 2.31034i) q^{45} +(2.66945 - 4.62363i) q^{46} +(-2.39030 + 2.00570i) q^{47} +(0.441556 - 0.370510i) q^{48} +(-8.33016 + 14.4283i) q^{49} +(0.500000 + 0.866025i) q^{50} +(-0.759442 - 0.276414i) q^{51} +(-0.669793 + 3.79858i) q^{52} +(-0.312568 - 1.77266i) q^{53} +(-3.06993 + 1.11736i) q^{54} +(-4.11295 - 3.45117i) q^{55} +4.86419 q^{56} +(-2.31306 + 0.981070i) q^{57} +3.63378 q^{58} +(-5.61133 - 4.70846i) q^{59} +(-0.541649 + 0.197144i) q^{60} +(1.40916 + 7.99176i) q^{61} +(-1.42457 + 8.07914i) q^{62} +(-12.1939 - 4.43820i) q^{63} +(-0.500000 - 0.866025i) q^{64} +(1.92859 - 3.34042i) q^{65} +(2.37075 - 1.98929i) q^{66} +(6.46916 - 5.42827i) q^{67} +(-0.701047 + 1.21425i) q^{68} +(-1.53870 - 2.66511i) q^{69} +(-4.57084 - 1.66365i) q^{70} +(1.04647 - 5.93485i) q^{71} +(0.463250 + 2.62722i) q^{72} +(1.19931 - 0.436515i) q^{73} +(8.01234 + 6.72316i) q^{74} +0.576411 q^{75} +(0.979350 + 4.24746i) q^{76} +26.1162 q^{77} +(1.70316 + 1.42912i) q^{78} +(15.6290 - 5.68848i) q^{79} +(0.173648 + 0.984808i) q^{80} +(1.06275 - 6.02717i) q^{81} +(-1.79322 - 0.652678i) q^{82} +(-7.23049 - 12.5236i) q^{83} +(1.40188 - 2.42814i) q^{84} +(1.07407 - 0.901248i) q^{85} +(-1.13271 + 0.950453i) q^{86} +(1.04727 - 1.81393i) q^{87} +(-2.68454 - 4.64975i) q^{88} +(-9.02905 - 3.28630i) q^{89} +(0.463250 - 2.62722i) q^{90} +(3.25800 + 18.4770i) q^{91} +(-5.01693 + 1.82601i) q^{92} +(3.62243 + 3.03958i) q^{93} +3.12031 q^{94} +(0.532428 - 4.32626i) q^{95} -0.576411 q^{96} +(-4.65687 - 3.90758i) q^{97} +(15.6556 - 5.69817i) q^{98} +(2.48722 + 14.1057i) 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
$3$	−0.541649	+	0.197144i	−0.312721	+	0.113821i	−0.493613	−	0.869682i	$-0.664324\pi$
$3$	−0.541649	+	0.197144i	−0.312721	+	0.113821i	0.180892	+	0.983503i	$0.442102\pi$
$4$	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
$6$	0.541649	+	0.197144i	0.221127	+	0.0804837i
$7$	2.43209	+	4.21251i	0.919245	+	1.59218i	0.800564	+	0.599247i	$0.204533\pi$
$7$	2.43209	+	4.21251i	0.919245	+	1.59218i	0.118681	+	0.992932i	$0.462134\pi$
$8$	0.500000	−	0.866025i	0.176777	−	0.306186i
$9$	−2.04362	+	1.71480i	−0.681205	+	0.571599i
$10$	−0.766044	+	0.642788i	−0.242245	+	0.203267i
$11$	2.68454	−	4.64975i	0.809418	−	1.40195i	−0.103850	−	0.994593i	$-0.533116\pi$
$11$	2.68454	−	4.64975i	0.809418	−	1.40195i	0.913268	−	0.407360i	$-0.133550\pi$
$12$	−0.288205	−	0.499186i	−0.0831977	−	0.144103i
$13$	3.62457	+	1.31923i	1.00527	+	0.365890i	0.791616	−	0.611019i	$-0.209240\pi$
$13$	3.62457	+	1.31923i	1.00527	+	0.365890i	0.213658	+	0.976909i	$0.431462\pi$
$14$	0.844657	−	4.79029i	0.225744	−	1.28026i
$15$	0.100093	+	0.567654i	0.0258438	+	0.146568i
$16$	−0.939693	+	0.342020i	−0.234923	+	0.0855050i
$17$	1.07407	+	0.901248i	0.260499	+	0.218585i	0.763678	−	0.645598i	$-0.223392\pi$
$17$	1.07407	+	0.901248i	0.260499	+	0.218585i	−0.503178	+	0.864183i	$0.667836\pi$
$18$	2.66775			0.628795
$19$	4.35299	−	0.226908i	0.998644	−	0.0520563i
$19$	4.35299	−	0.226908i	0.998644	−	0.0520563i
$20$	1.00000			0.223607
$21$	−2.14781	−	1.80223i	−0.468691	−	0.393278i
$22$	−5.04528	+	1.83633i	−1.07566	+	0.391507i
$23$	0.927092	+	5.25780i	0.193312	+	1.09633i	0.914802	+	0.403902i	$0.132346\pi$
$23$	0.927092	+	5.25780i	0.193312	+	1.09633i	−0.721490	+	0.692425i	$0.756543\pi$
$24$	−0.100093	+	0.567654i	−0.0204313	+	0.115872i
$25$	−0.939693	−	0.342020i	−0.187939	−	0.0684040i
$26$	−1.92859	−	3.34042i	−0.378228	−	0.655110i
$27$	1.63348	−	2.82926i	0.314363	−	0.544492i
$28$	−3.72618	+	3.12664i	−0.704183	+	0.590879i
$29$	−2.78364	+	2.33575i	−0.516908	+	0.433738i	−0.863552	−	0.504259i	$-0.831766\pi$
$29$	−2.78364	+	2.33575i	−0.516908	+	0.433738i	0.346644	+	0.937997i	$0.387321\pi$
$30$	0.288205	−	0.499186i	0.0526189	−	0.0911385i
$31$	−4.10189	−	7.10468i	−0.736721	−	1.27604i	−0.953964	−	0.299920i	$-0.903040\pi$
$31$	−4.10189	−	7.10468i	−0.736721	−	1.27604i	0.217244	−	0.976117i	$-0.430293\pi$
$32$	0.939693	+	0.342020i	0.166116	+	0.0604612i
$33$	−0.537405	+	3.04777i	−0.0935501	+	0.530549i
$34$	−0.243471	−	1.38079i	−0.0417549	−	0.236804i
$35$	4.57084	−	1.66365i	0.772613	−	0.281208i
$36$	−2.04362	−	1.71480i	−0.340603	−	0.285800i
$37$	−10.4594			−1.71951			−0.859755	−	0.510706i	$-0.829384\pi$
$37$	−10.4594			−1.71951			−0.859755	+	0.510706i	$0.829384\pi$
$38$	−3.48044	−	2.62423i	−0.564601	−	0.425706i
$39$	−2.22332			−0.356016
$40$	−0.766044	−	0.642788i	−0.121122	−	0.101634i
$41$	1.79322	−	0.652678i	0.280054	−	0.101931i	−0.198175	−	0.980167i	$-0.563501\pi$
$41$	1.79322	−	0.652678i	0.280054	−	0.101931i	0.478228	+	0.878236i	$0.341279\pi$
$42$	0.486869	+	2.76117i	0.0751256	+	0.426058i
$43$	0.256764	−	1.45618i	0.0391561	−	0.222065i	−0.958950	−	0.283574i	$-0.908480\pi$
$43$	0.256764	−	1.45618i	0.0391561	−	0.222065i	0.998107	+	0.0615084i	$0.0195911\pi$
$44$	5.04528	+	1.83633i	0.760604	+	0.276837i
$45$	1.33388	+	2.31034i	0.198842	+	0.344405i
$46$	2.66945	−	4.62363i	0.393590	−	0.681717i
$47$	−2.39030	+	2.00570i	−0.348661	+	0.292561i	−0.800252	−	0.599664i	$-0.795301\pi$
$47$	−2.39030	+	2.00570i	−0.348661	+	0.292561i	0.451591	+	0.892225i	$0.350857\pi$
$48$	0.441556	−	0.370510i	0.0637331	−	0.0534785i
$49$	−8.33016	+	14.4283i	−1.19002	+	2.06118i
$50$	0.500000	+	0.866025i	0.0707107	+	0.122474i
$51$	−0.759442	−	0.276414i	−0.106343	−	0.0387058i
$52$	−0.669793	+	3.79858i	−0.0928835	+	0.526769i
$53$	−0.312568	−	1.77266i	−0.0429346	−	0.243494i	0.955786	−	0.294063i	$-0.0950076\pi$
$53$	−0.312568	−	1.77266i	−0.0429346	−	0.243494i	−0.998721	+	0.0505691i	$0.983896\pi$
$54$	−3.06993	+	1.11736i	−0.417765	+	0.152054i
$55$	−4.11295	−	3.45117i	−0.554590	−	0.465356i
$56$	4.86419			0.650004
$57$	−2.31306	+	0.981070i	−0.306372	+	0.129946i
$58$	3.63378			0.477139
$59$	−5.61133	−	4.70846i	−0.730532	−	0.612990i	0.199744	−	0.979848i	$-0.435989\pi$
$59$	−5.61133	−	4.70846i	−0.730532	−	0.612990i	−0.930277	+	0.366859i	$0.880433\pi$
$60$	−0.541649	+	0.197144i	−0.0699266	+	0.0254512i
$61$	1.40916	+	7.99176i	0.180425	+	1.02324i	0.931694	+	0.363244i	$0.118331\pi$
$61$	1.40916	+	7.99176i	0.180425	+	1.02324i	−0.751269	+	0.659996i	$0.770558\pi$
$62$	−1.42457	+	8.07914i	−0.180921	+	1.02605i
$63$	−12.1939	−	4.43820i	−1.53628	−	0.559161i
$64$	−0.500000	−	0.866025i	−0.0625000	−	0.108253i
$65$	1.92859	−	3.34042i	0.239212	−	0.414328i
$66$	2.37075	−	1.98929i	0.291819	−	0.244865i
$67$	6.46916	−	5.42827i	0.790334	−	0.663169i	−0.155494	−	0.987837i	$-0.549697\pi$
$67$	6.46916	−	5.42827i	0.790334	−	0.663169i	0.945828	+	0.324668i	$0.105253\pi$
$68$	−0.701047	+	1.21425i	−0.0850144	+	0.147249i
$69$	−1.53870	−	2.66511i	−0.185238	−	0.320842i
$70$	−4.57084	−	1.66365i	−0.546320	−	0.198844i
$71$	1.04647	−	5.93485i	0.124194	−	0.704337i	−0.857590	−	0.514334i	$-0.828039\pi$
$71$	1.04647	−	5.93485i	0.124194	−	0.704337i	0.981783	−	0.190003i	$-0.0608498\pi$
$72$	0.463250	+	2.62722i	0.0545945	+	0.309621i
$73$	1.19931	−	0.436515i	0.140369	−	0.0510902i	−0.270880	−	0.962613i	$-0.587315\pi$
$73$	1.19931	−	0.436515i	0.140369	−	0.0510902i	0.411249	+	0.911523i	$0.365093\pi$
$74$	8.01234	+	6.72316i	0.931416	+	0.781551i
$75$	0.576411			0.0665582
$76$	0.979350	+	4.24746i	0.112339	+	0.487217i
$77$	26.1162			2.97621
$78$	1.70316	+	1.42912i	0.192845	+	0.161816i
$79$	15.6290	−	5.68848i	1.75840	−	0.640004i	0.758465	−	0.651714i	$-0.225950\pi$
$79$	15.6290	−	5.68848i	1.75840	−	0.640004i	0.999931	+	0.0117101i	$0.00372754\pi$
$80$	0.173648	+	0.984808i	0.0194145	+	0.110105i
$81$	1.06275	−	6.02717i	0.118084	−	0.669685i
$82$	−1.79322	−	0.652678i	−0.198028	−	0.0720762i
$83$	−7.23049	−	12.5236i	−0.793649	−	1.37464i	−0.923693	−	0.383133i	$-0.874845\pi$
$83$	−7.23049	−	12.5236i	−0.793649	−	1.37464i	0.130044	−	0.991508i	$-0.458488\pi$
$84$	1.40188	−	2.42814i	0.152958	−	0.264931i
$85$	1.07407	−	0.901248i	0.116499	−	0.0977541i
$86$	−1.13271	+	0.950453i	−0.122143	+	0.102490i
$87$	1.04727	−	1.81393i	0.112280	−	0.194474i
$88$	−2.68454	−	4.64975i	−0.286172	−	0.495665i
$89$	−9.02905	−	3.28630i	−0.957077	−	0.348348i	−0.184190	−	0.982891i	$-0.558966\pi$
$89$	−9.02905	−	3.28630i	−0.957077	−	0.348348i	−0.772887	+	0.634543i	$0.781188\pi$
$90$	0.463250	−	2.62722i	0.0488308	−	0.276933i
$91$	3.25800	+	18.4770i	0.341531	+	1.93692i
$92$	−5.01693	+	1.82601i	−0.523051	+	0.190375i
$93$	3.62243	+	3.03958i	0.375628	+	0.315189i
$94$	3.12031			0.321836
$95$	0.532428	−	4.32626i	0.0546259	−	0.443865i
$96$	−0.576411			−0.0588297
$97$	−4.65687	−	3.90758i	−0.472834	−	0.396755i	0.374993	−	0.927028i	$-0.377645\pi$
$97$	−4.65687	−	3.90758i	−0.472834	−	0.396755i	−0.847827	+	0.530273i	$0.822089\pi$
$98$	15.6556	−	5.69817i	1.58145	−	0.575602i
$99$	2.48722	+	14.1057i	0.249975	+	1.41768i
$100$	0.173648	−	0.984808i	0.0173648	−	0.0984808i
$101$	−1.17995	−	0.429466i	−0.117409	−	0.0427335i	0.282647	−	0.959224i	$-0.408787\pi$
$101$	−1.17995	−	0.429466i	−0.117409	−	0.0427335i	−0.400057	+	0.916490i	$0.631010\pi$
$102$	0.404091	+	0.699906i	0.0400109	+	0.0693010i
$103$	−3.68352	+	6.38005i	−0.362948	+	0.628645i	−0.988445	−	0.151582i	$-0.951563\pi$
$103$	−3.68352	+	6.38005i	−0.362948	+	0.628645i	0.625496	+	0.780227i	$0.284897\pi$
$104$	2.95477	−	2.47935i	0.289739	−	0.243120i
$105$	−2.14781	+	1.80223i	−0.209605	+	0.175879i
$106$	−0.900005	+	1.55885i	−0.0874162	+	0.151409i
$107$	4.36539	+	7.56108i	0.422018	+	0.730957i	0.996137	−	0.0878153i	$-0.0279885\pi$
$107$	4.36539	+	7.56108i	0.422018	+	0.730957i	−0.574119	+	0.818772i	$0.694655\pi$
$108$	3.06993	+	1.11736i	0.295404	+	0.107518i
$109$	1.41173	−	8.00630i	0.135219	−	0.766865i	−0.839488	−	0.543378i	$-0.817145\pi$
$109$	1.41173	−	8.00630i	0.135219	−	0.766865i	0.974707	−	0.223487i	$-0.0717439\pi$
$110$	0.932329	+	5.28750i	0.0888941	+	0.504144i
$111$	5.66531	−	2.06200i	0.537727	−	0.195717i
$112$	−3.72618	−	3.12664i	−0.352091	−	0.295440i
$113$	−4.48210			−0.421640			−0.210820	−	0.977525i	$-0.567613\pi$
$113$	−4.48210			−0.421640			−0.210820	+	0.977525i	$0.567613\pi$
$114$	2.40253	+	0.735261i	0.225017	+	0.0688635i
$115$	5.33891			0.497856
$116$	−2.78364	−	2.33575i	−0.258454	−	0.216869i
$117$	−9.66944	+	3.51939i	−0.893940	+	0.325368i
$118$	1.27198	+	7.21378i	0.117096	+	0.664082i
$119$	−1.18429	+	6.71643i	−0.108564	+	0.615694i
$120$	0.541649	+	0.197144i	0.0494455	+	0.0179967i
$121$	−8.91346	−	15.4386i	−0.810314	−	1.40351i
$122$	4.05753	−	7.02784i	0.367351	−	0.636271i
$123$	−0.842623	+	0.707045i	−0.0759768	+	0.0637521i
$124$	6.28445	−	5.27328i	0.564361	−	0.473555i
$125$	−0.500000	+	0.866025i	−0.0447214	+	0.0774597i
$126$	6.48822	+	11.2379i	0.578017	+	1.00115i
$127$	0.130789	+	0.0476033i	0.0116057	+	0.00422411i	0.347816	−	0.937563i	$-0.386923\pi$
$127$	0.130789	+	0.0476033i	0.0116057	+	0.00422411i	−0.336211	+	0.941787i	$0.609145\pi$
$128$	−0.173648	+	0.984808i	−0.0153485	+	0.0870455i
$129$	0.148001	+	0.839357i	0.0130308	+	0.0739013i
$130$	−3.62457	+	1.31923i	−0.317896	+	0.115705i
$131$	9.52200	+	7.98991i	0.831941	+	0.698082i	0.955736	−	0.294226i	$-0.0950620\pi$
$131$	9.52200	+	7.98991i	0.831941	+	0.698082i	−0.123795	+	0.992308i	$0.539506\pi$
$132$	−3.09479			−0.269367
$133$	11.5427	+	17.7851i	1.00088	+	1.54217i
$134$	−8.44489			−0.729528
$135$	−2.50263	−	2.09996i	−0.215392	−	0.180735i
$136$	1.31754	−	0.479544i	0.112978	−	0.0411206i
$137$	−2.49734	−	14.1631i	−0.213362	−	1.21004i	−0.883726	−	0.468004i	$-0.844973\pi$
$137$	−2.49734	−	14.1631i	−0.213362	−	1.21004i	0.670364	−	0.742032i	$-0.266138\pi$
$138$	−0.534386	+	3.03065i	−0.0454899	+	0.257986i
$139$	−16.7746	−	6.10544i	−1.42280	−	0.517857i	−0.487941	−	0.872877i	$-0.662252\pi$
$139$	−16.7746	−	6.10544i	−1.42280	−	0.517857i	−0.934859	+	0.355020i	$0.884474\pi$
$140$	2.43209	+	4.21251i	0.205549	+	0.356022i
$141$	0.899291	−	1.55762i	0.0757340	−	0.131175i
$142$	−4.61650	+	3.87370i	−0.387408	+	0.325074i
$143$	15.8644	−	13.3118i	1.32665	−	1.11319i
$144$	1.33388	−	2.31034i	0.111156	−	0.192528i
$145$	1.81689	+	3.14694i	0.150884	+	0.261340i
$146$	−1.19931	−	0.436515i	−0.0992559	−	0.0361262i
$147$	1.66758	−	9.45729i	0.137539	−	0.780024i
$148$	−1.81625	−	10.3005i	−0.149295	−	0.846694i
$149$	2.71250	−	0.987271i	0.222217	−	0.0808804i	−0.228512	−	0.973541i	$-0.573386\pi$
$149$	2.71250	−	0.987271i	0.222217	−	0.0808804i	0.450729	+	0.892661i	$0.351164\pi$
$150$	−0.441556	−	0.370510i	−0.0360529	−	0.0302520i
$151$	2.01805			0.164226			0.0821132	−	0.996623i	$-0.473833\pi$
$151$	2.01805			0.164226			0.0821132	+	0.996623i	$0.473833\pi$
$152$	1.97999	−	3.88325i	0.160598	−	0.314973i
$153$	−3.74044			−0.302396
$154$	−20.0061	−	16.7871i	−1.61214	−	1.35275i
$155$	−7.70903	+	2.80586i	−0.619204	+	0.225372i
$156$	−0.386076	−	2.18954i	−0.0309108	−	0.175304i
$157$	−1.91697	+	10.8717i	−0.152991	+	0.867655i	0.807609	+	0.589719i	$0.200761\pi$
$157$	−1.91697	+	10.8717i	−0.152991	+	0.867655i	−0.960600	+	0.277936i	$0.910350\pi$
$158$	−15.6290	−	5.68848i	−1.24337	−	0.452551i
$159$	0.518772	+	0.898540i	0.0411413	+	0.0712589i
$160$	0.500000	−	0.866025i	0.0395285	−	0.0684653i
$161$	−19.8938	+	16.6928i	−1.56785	+	1.31558i
$162$	−4.68830	+	3.93395i	−0.368348	+	0.309081i
$163$	2.96434	−	5.13439i	0.232185	−	0.402157i	−0.726266	−	0.687414i	$-0.758746\pi$
$163$	2.96434	−	5.13439i	0.232185	−	0.402157i	0.958451	+	0.285257i	$0.0920791\pi$
$164$	0.954151	+	1.65264i	0.0745067	+	0.129049i
$165$	2.90815	+	1.05848i	0.226399	+	0.0824026i
$166$	−2.51112	+	14.2413i	−0.194901	+	1.10534i
$167$	1.25507	+	7.11784i	0.0971200	+	0.550795i	0.994077	+	0.108677i	$0.0346615\pi$
$167$	1.25507	+	7.11784i	0.0971200	+	0.550795i	−0.896957	+	0.442118i	$0.854227\pi$
$168$	−2.63468	+	0.958946i	−0.203270	+	0.0739843i
$169$	1.43852	+	1.20707i	0.110656	+	0.0928512i
$170$	−1.40209			−0.107536
$171$	−8.50673	+	7.92821i	−0.650526	+	0.606285i
$172$	1.47864			0.112745
$173$	−3.95167	−	3.31585i	−0.300440	−	0.252099i	0.480087	−	0.877221i	$-0.340605\pi$
$173$	−3.95167	−	3.31585i	−0.300440	−	0.252099i	−0.780528	+	0.625121i	$0.785049\pi$
$174$	−1.96823	+	0.716378i	−0.149211	+	0.0543085i
$175$	−0.844657	−	4.79029i	−0.0638501	−	0.362112i
$176$	−0.932329	+	5.28750i	−0.0702770	+	0.398560i
$177$	3.96761	+	1.44409i	0.298224	+	0.108545i
$178$	4.80426	+	8.32122i	0.360094	+	0.623701i
$179$	−4.09186	+	7.08730i	−0.305840	+	0.529730i	−0.977448	−	0.211177i	$-0.932270\pi$
$179$	−4.09186	+	7.08730i	−0.305840	+	0.529730i	0.671608	+	0.740906i	$0.265604\pi$
$180$	−2.04362	+	1.71480i	−0.152322	+	0.127813i
$181$	−2.62934	+	2.20628i	−0.195437	+	0.163991i	−0.735255	−	0.677791i	$-0.762938\pi$
$181$	−2.62934	+	2.20628i	−0.195437	+	0.163991i	0.539818	+	0.841782i	$0.318493\pi$
$182$	9.38103	−	16.2484i	0.695368	−	1.20441i
$183$	−2.33880	−	4.05092i	−0.172889	−	0.299453i
$184$	5.01693	+	1.82601i	0.369853	+	0.134616i
$185$	−1.81625	+	10.3005i	−0.133533	+	0.757306i
$186$	−0.821137	−	4.65690i	−0.0602087	−	0.341461i
$187$	7.07395	−	2.57471i	0.517298	−	0.188281i
$188$	−2.39030	−	2.00570i	−0.174330	−	0.146281i
$189$	15.8911			1.15591
$190$	−3.18873	+	2.97187i	−0.231335	+	0.215602i
$191$	3.77584			0.273210			0.136605	−	0.990626i	$-0.456381\pi$
$191$	3.77584			0.273210			0.136605	+	0.990626i	$0.456381\pi$
$192$	0.441556	+	0.370510i	0.0318666	+	0.0267392i
$193$	−11.4435	+	4.16508i	−0.823718	+	0.299809i	−0.719278	−	0.694722i	$-0.755527\pi$
$193$	−11.4435	+	4.16508i	−0.823718	+	0.299809i	−0.104440	+	0.994531i	$0.533305\pi$
$194$	1.05563	+	5.98676i	0.0757896	+	0.429824i
$195$	−0.386076	+	2.18954i	−0.0276475	+	0.156797i
$196$	−15.6556	−	5.69817i	−1.11826	−	0.407012i
$197$	−3.60118	−	6.23743i	−0.256574	−	0.444399i	0.708748	−	0.705462i	$-0.249260\pi$
$197$	−3.60118	−	6.23743i	−0.256574	−	0.444399i	−0.965322	+	0.261063i	$0.915927\pi$
$198$	7.16167	−	12.4044i	0.508958	−	0.881541i
$199$	4.47147	−	3.75201i	0.316974	−	0.265973i	−0.470393	−	0.882457i	$-0.655888\pi$
$199$	4.47147	−	3.75201i	0.316974	−	0.265973i	0.787367	+	0.616484i	$0.211443\pi$
$200$	−0.766044	+	0.642788i	−0.0541675	+	0.0454519i
$201$	−2.43386	+	4.21557i	−0.171671	+	0.297344i
$202$	0.627838	+	1.08745i	0.0441745	+	0.0765125i
$203$	−16.6094	−	6.04534i	−1.16575	−	0.424299i
$204$	0.140339	−	0.795903i	0.00982571	−	0.0557244i
$205$	−0.331373	−	1.87931i	−0.0231441	−	0.131257i
$206$	6.92276	−	2.51968i	0.482332	−	0.175554i
$207$	−10.9107	−	9.15514i	−0.758344	−	0.636327i
$208$	−3.85718			−0.267448
$209$	10.6307	−	20.8495i	0.735340	−	1.44219i
$210$	2.80377			0.193478
$211$	8.17443	+	6.85916i	0.562751	+	0.472204i	0.879231	−	0.476395i	$-0.158057\pi$
$211$	8.17443	+	6.85916i	0.562751	+	0.472204i	−0.316481	+	0.948599i	$0.602501\pi$
$212$	1.69146	−	0.615640i	0.116170	−	0.0422823i
$213$	0.603199	+	3.42091i	0.0413305	+	0.234397i
$214$	1.51608	−	8.59814i	0.103637	−	0.587757i
$215$	−1.38947	−	0.505726i	−0.0947611	−	0.0344902i
$216$	−1.63348	−	2.82926i	−0.111144	−	0.192507i
$217$	19.9523	−	34.5585i	1.35445	−	2.34598i
$218$	−6.22780	+	5.22574i	−0.421800	+	0.353932i
$219$	−0.563551	+	0.472875i	−0.0380812	+	0.0319539i
$220$	2.68454	−	4.64975i	0.180991	−	0.313486i
$221$	2.70407	+	4.68358i	0.181895	+	0.315052i
$222$	−5.66531	−	2.06200i	−0.380231	−	0.138393i
$223$	−0.0172725	+	0.0979573i	−0.00115665	+	0.00655971i	−0.985381	−	0.170367i	$-0.945505\pi$
$223$	−0.0172725	+	0.0979573i	−0.00115665	+	0.00655971i	0.984224	+	0.176927i	$0.0566157\pi$
$224$	0.844657	+	4.79029i	0.0564360	+	0.320065i
$225$	2.50687	−	0.912424i	0.167124	−	0.0608283i
$226$	3.43349	+	2.88104i	0.228392	+	0.191644i
$227$	−13.8262			−0.917680			−0.458840	−	0.888519i	$-0.651735\pi$
$227$	−13.8262			−0.917680			−0.458840	+	0.888519i	$0.651735\pi$
$228$	−1.36782	−	2.10756i	−0.0905864	−	0.139576i
$229$	15.5752			1.02924			0.514619	−	0.857419i	$-0.327934\pi$
$229$	15.5752			1.02924			0.514619	+	0.857419i	$0.327934\pi$
$230$	−4.08984	−	3.43178i	−0.269676	−	0.226285i
$231$	−14.1458	+	5.14865i	−0.930725	+	0.338756i
$232$	0.630999	+	3.57857i	0.0414271	+	0.234945i
$233$	−2.64658	+	15.0095i	−0.173384	+	0.983307i	0.766610	+	0.642113i	$0.221942\pi$
$233$	−2.64658	+	15.0095i	−0.173384	+	0.983307i	−0.939993	+	0.341193i	$0.889169\pi$
$234$	9.66944	+	3.51939i	0.632111	+	0.230070i
$235$	1.56016	+	2.70227i	0.101773	+	0.176277i
$236$	3.66253	−	6.34369i	0.238411	−	0.412939i
$237$	−7.34396	+	6.16232i	−0.477042	+	0.400285i
$238$	5.22446	−	4.38384i	0.338651	−	0.284162i
$239$	−8.41167	+	14.5694i	−0.544106	+	0.942419i	0.454557	+	0.890718i	$0.349798\pi$
$239$	−8.41167	+	14.5694i	−0.544106	+	0.942419i	−0.998663	+	0.0517011i	$0.983536\pi$
$240$	−0.288205	−	0.499186i	−0.0186036	−	0.0322223i
$241$	8.55776	+	3.11477i	0.551254	+	0.200640i	0.602604	−	0.798041i	$-0.294130\pi$
$241$	8.55776	+	3.11477i	0.551254	+	0.200640i	−0.0513496	+	0.998681i	$0.516352\pi$
$242$	−3.09561	+	17.5561i	−0.198993	+	1.12855i
$243$	2.31448	+	13.1261i	0.148474	+	0.842039i
$244$	−7.62565	+	2.77551i	−0.488182	+	0.177684i
$245$	12.7625	+	10.7090i	0.815369	+	0.684176i
$246$	1.09997			0.0701313
$247$	16.0770	+	4.92017i	1.02296	+	0.313063i
$248$	−8.20377			−0.520940
$249$	6.38533	+	5.35793i	0.404654	+	0.339545i
$250$	0.939693	−	0.342020i	0.0594314	−	0.0216313i
$251$	2.91829	+	16.5504i	0.184201	+	1.04465i	0.926978	+	0.375116i	$0.122397\pi$
$251$	2.91829	+	16.5504i	0.184201	+	1.04465i	−0.742777	+	0.669539i	$0.766492\pi$
$252$	2.25334	−	12.7793i	0.141947	−	0.805020i
$253$	26.9363	+	9.80400i	1.69347	+	0.616372i
$254$	−0.0695914	−	0.120536i	−0.00436655	−	0.00756309i
$255$	−0.404091	+	0.699906i	−0.0253051	+	0.0438298i
$256$	0.766044	−	0.642788i	0.0478778	−	0.0401742i
$257$	−7.58176	+	6.36185i	−0.472937	+	0.396841i	−0.847865	−	0.530213i	$-0.822112\pi$
$257$	−7.58176	+	6.36185i	−0.472937	+	0.396841i	0.374927	+	0.927054i	$0.377668\pi$
$258$	0.426153	−	0.738118i	0.0265311	−	0.0459532i
$259$	−25.4382	−	44.0602i	−1.58065	−	2.73777i
$260$	3.62457	+	1.31923i	0.224786	+	0.0818154i
$261$	1.68335	−	9.54674i	0.104197	−	0.590929i
$262$	−2.15846	−	12.2412i	−0.133350	−	0.756267i
$263$	21.0609	−	7.66554i	1.29867	−	0.472677i	0.402107	−	0.915593i	$-0.368278\pi$
$263$	21.0609	−	7.66554i	1.29867	−	0.472677i	0.896564	+	0.442915i	$0.146056\pi$
$264$	2.37075	+	1.98929i	0.145909	+	0.122432i
$265$	−1.80001			−0.110574
$266$	2.58983	−	21.0437i	0.158793	−	1.29027i
$267$	5.53845			0.338948
$268$	6.46916	+	5.42827i	0.395167	+	0.331584i
$269$	−7.02217	+	2.55586i	−0.428149	+	0.155834i	−0.547101	−	0.837066i	$-0.684269\pi$
$269$	−7.02217	+	2.55586i	−0.428149	+	0.155834i	0.118952	+	0.992900i	$0.462047\pi$
$270$	0.567300	+	3.21732i	0.0345248	+	0.195800i
$271$	−1.84950	+	10.4890i	−0.112349	+	0.637163i	0.875680	+	0.482893i	$0.160414\pi$
$271$	−1.84950	+	10.4890i	−0.112349	+	0.637163i	−0.988029	+	0.154271i	$0.950697\pi$
$272$	−1.31754	−	0.479544i	−0.0798874	−	0.0290766i
$273$	−5.40733	−	9.36576i	−0.327266	−	0.566842i
$274$	−7.19080	+	12.4548i	−0.434412	+	0.752424i
$275$	−4.11295	+	3.45117i	−0.248020	+	0.208113i
$276$	2.35743	−	1.97812i	0.141900	−	0.119069i
$277$	1.16317	−	2.01467i	0.0698880	−	0.121050i	−0.828964	−	0.559302i	$-0.811069\pi$
$277$	1.16317	−	2.01467i	0.0698880	−	0.121050i	0.898852	+	0.438253i	$0.144402\pi$
$278$	8.92555	+	15.4595i	0.535319	+	0.927200i
$279$	20.5658	+	7.48532i	1.23124	+	0.448135i
$280$	0.844657	−	4.79029i	0.0504779	−	0.286275i
$281$	−2.96472	−	16.8137i	−0.176860	−	1.00302i	−0.935975	−	0.352067i	$-0.885479\pi$
$281$	−2.96472	−	16.8137i	−0.176860	−	1.00302i	0.759115	−	0.650957i	$-0.225632\pi$
$282$	−1.69011	+	0.615151i	−0.100645	+	0.0366317i
$283$	6.48680	+	5.44307i	0.385600	+	0.323557i	0.814896	−	0.579607i	$-0.196794\pi$
$283$	6.48680	+	5.44307i	0.385600	+	0.323557i	−0.429296	+	0.903164i	$0.641238\pi$
$284$	6.02641			0.357601
$285$	0.564508	+	2.44828i	0.0334385	+	0.145023i
$286$	−20.7095			−1.22458
$287$	7.11069	+	5.96658i	0.419731	+	0.352196i
$288$	−2.50687	+	0.912424i	−0.147718	+	0.0537651i
$289$	−2.61065	−	14.8057i	−0.153568	−	0.870925i
$290$	0.630999	−	3.57857i	0.0370535	−	0.210141i
$291$	3.29275	+	1.19846i	0.193024	+	0.0702551i
$292$	0.638142	+	1.10529i	0.0373444	+	0.0646824i
$293$	1.29622	−	2.24512i	0.0757260	−	0.131161i	−0.825676	−	0.564145i	$-0.809206\pi$
$293$	1.29622	−	2.24512i	0.0757260	−	0.131161i	0.901402	+	0.432984i	$0.142539\pi$
$294$	−7.35647	+	6.17281i	−0.429038	+	0.360006i
$295$	−5.61133	+	4.70846i	−0.326704	+	0.274137i
$296$	−5.22969	+	9.05808i	−0.303969	+	0.526490i
$297$	−8.77025	−	15.1905i	−0.508901	−	0.881443i
$298$	−2.71250	−	0.987271i	−0.157131	−	0.0571911i
$299$	−3.57596	+	20.2803i	−0.206803	+	1.17284i
$300$	0.100093	+	0.567654i	0.00577885	+	0.0327735i
$301$	6.75864	−	2.45994i	0.389562	−	0.141789i
$302$	−1.54591	−	1.29718i	−0.0889573	−	0.0746441i
$303$	0.723785			0.0415804
$304$	−4.01286	+	1.70203i	−0.230154	+	0.0976183i
$305$	8.11505			0.464666
$306$	2.86534	+	2.40431i	0.163801	+	0.137445i
$307$	3.87311	−	1.40970i	0.221050	−	0.0804557i	−0.229121	−	0.973398i	$-0.573585\pi$
$307$	3.87311	−	1.40970i	0.221050	−	0.0804557i	0.450171	+	0.892942i	$0.351363\pi$
$308$	4.53502	+	25.7194i	0.258407	+	1.46550i
$309$	0.737387	−	4.18193i	0.0419485	−	0.237902i
$310$	7.70903	+	2.80586i	0.437843	+	0.159362i
$311$	−1.24153	−	2.15040i	−0.0704008	−	0.121938i	0.828676	−	0.559728i	$-0.189094\pi$
$311$	−1.24153	−	2.15040i	−0.0704008	−	0.121938i	−0.899077	+	0.437791i	$0.855761\pi$
$312$	−1.11166	+	1.92545i	−0.0629354	+	0.109007i
$313$	4.12243	−	3.45913i	0.233014	−	0.195522i	−0.518803	−	0.854894i	$-0.673622\pi$
$313$	4.12243	−	3.45913i	0.233014	−	0.195522i	0.751817	+	0.659372i	$0.229178\pi$
$314$	8.45667	−	7.09599i	0.477238	−	0.400450i
$315$	−6.48822	+	11.2379i	−0.365570	+	0.633185i
$316$	8.31600	+	14.4037i	0.467812	+	0.810273i
$317$	−18.2914	−	6.65753i	−1.02735	−	0.373924i	−0.227278	−	0.973830i	$-0.572983\pi$
$317$	−18.2914	−	6.65753i	−1.02735	−	0.373924i	−0.800071	+	0.599906i	$0.795205\pi$
$318$	0.180168	−	1.02178i	0.0101033	−	0.0572987i
$319$	3.38788	+	19.2136i	0.189685	+	1.07576i
$320$	−0.939693	+	0.342020i	−0.0525304	+	0.0191195i
$321$	−3.85513	−	3.23484i	−0.215172	−	0.180551i
$322$	25.9695			1.44722
$323$	4.87990	+	3.67941i	0.271525	+	0.204728i
$324$	6.12015			0.340008
$325$	−2.95477	−	2.47935i	−0.163901	−	0.137530i
$326$	−5.57114	+	2.02773i	−0.308557	+	0.112306i
$327$	0.813735	+	4.61492i	0.0449996	+	0.255206i
$328$	0.331373	−	1.87931i	0.0182970	−	0.103768i
$329$	−14.2625	−	5.19111i	−0.786315	−	0.286195i
$330$	−1.54739	−	2.68017i	−0.0851813	−	0.147538i
$331$	9.35511	−	16.2035i	0.514203	−	0.890626i	−0.485661	−	0.874147i	$-0.661421\pi$
$331$	9.35511	−	16.2035i	0.514203	−	0.890626i	0.999864	−	0.0164787i	$-0.00524557\pi$
$332$	11.0778	−	9.29534i	0.607971	−	0.510148i
$333$	21.3749	−	17.9357i	1.17134	−	0.982870i
$334$	3.61382	−	6.25932i	0.197739	−	0.342495i
$335$	−4.22245	−	7.31349i	−0.230697	−	0.399579i
$336$	2.63468	+	0.958946i	0.143734	+	0.0523148i
$337$	−4.35808	+	24.7159i	−0.237400	+	1.34636i	0.600101	+	0.799924i	$0.295127\pi$
$337$	−4.35808	+	24.7159i	−0.237400	+	1.34636i	−0.837501	+	0.546436i	$0.815984\pi$
$338$	−0.326087	−	1.84933i	−0.0177368	−	0.100590i
$339$	2.42772	−	0.883619i	0.131856	−	0.0479916i
$340$	1.07407	+	0.901248i	0.0582494	+	0.0488770i
$341$	−44.0466			−2.38526
$342$	11.6127	−	0.605335i	0.627942	−	0.0327328i
$343$	−46.9896			−2.53720
$344$	−1.13271	−	0.950453i	−0.0610714	−	0.0512450i
$345$	−2.89181	+	1.05253i	−0.155690	+	0.0566665i
$346$	0.895772	+	5.08018i	0.0481570	+	0.273112i
$347$	3.95111	−	22.4078i	0.212107	−	1.20292i	−0.673751	−	0.738958i	$-0.735318\pi$
$347$	3.95111	−	22.4078i	0.212107	−	1.20292i	0.885857	−	0.463957i	$-0.153571\pi$
$348$	1.96823	+	0.716378i	0.105508	+	0.0384019i
$349$	−6.58190	−	11.4002i	−0.352321	−	0.610238i	0.634335	−	0.773059i	$-0.281274\pi$
$349$	−6.58190	−	11.4002i	−0.352321	−	0.610238i	−0.986656	+	0.162820i	$0.947941\pi$
$350$	−2.43209	+	4.21251i	−0.130001	+	0.225168i
$351$	9.65310	−	8.09992i	0.515245	−	0.432341i
$352$	4.11295	−	3.45117i	0.219221	−	0.183948i
$353$	6.15281	−	10.6570i	0.327481	−	0.567213i	−0.654530	−	0.756036i	$-0.727134\pi$
$353$	6.15281	−	10.6570i	0.327481	−	0.567213i	0.982011	+	0.188822i	$0.0604670\pi$
$354$	−2.11112	−	3.65657i	−0.112205	−	0.194345i
$355$	−5.66297	−	2.06115i	−0.300559	−	0.109395i
$356$	1.66850	−	9.46254i	0.0884304	−	0.501513i
$357$	−0.682636	−	3.87142i	−0.0361290	−	0.204897i
$358$	7.69017	−	2.79899i	0.406438	−	0.147931i
$359$	9.62244	+	8.07418i	0.507853	+	0.426139i	0.860373	−	0.509665i	$-0.170231\pi$
$359$	9.62244	+	8.07418i	0.507853	+	0.426139i	−0.352520	+	0.935804i	$0.614675\pi$
$360$	2.66775			0.140603
$361$	18.8970	−	1.97546i	0.994580	−	0.103972i
$362$	3.43236			0.180401
$363$	7.87158	+	6.60504i	0.413151	+	0.346675i
$364$	−17.6306	+	6.41700i	−0.924093	+	0.336342i
$365$	−0.221624	−	1.25689i	−0.0116003	−	0.0657888i
$366$	−0.812257	+	4.60654i	−0.0424574	+	0.240788i
$367$	−2.52261	−	0.918156i	−0.131679	−	0.0479274i	0.275340	−	0.961347i	$-0.411210\pi$
$367$	−2.52261	−	0.918156i	−0.131679	−	0.0479274i	−0.407019	+	0.913420i	$0.633432\pi$
$368$	−2.66945	−	4.62363i	−0.139155	−	0.241023i
$369$	−2.54544	+	4.40883i	−0.132510	+	0.229514i
$370$	8.01234	−	6.72316i	0.416542	−	0.349520i
$371$	6.70717	−	5.62798i	0.348219	−	0.292190i
$372$	−2.36437	+	4.09521i	−0.122587	+	0.212327i
$373$	9.27119	+	16.0582i	0.480044	+	0.831461i	0.999738	−	0.0228917i	$-0.00728729\pi$
$373$	9.27119	+	16.0582i	0.480044	+	0.831461i	−0.519694	+	0.854353i	$0.673954\pi$
$374$	−7.07395	−	2.57471i	−0.365785	−	0.133135i
$375$	0.100093	−	0.567654i	0.00516876	−	0.0293135i
$376$	0.541837	+	3.07291i	0.0279431	+	0.158473i
$377$	−13.1709	+	4.79381i	−0.678334	+	0.246894i
$378$	−12.1733	−	10.2146i	−0.626125	−	0.525381i
$379$	11.5855			0.595108			0.297554	−	0.954705i	$-0.403829\pi$
$379$	11.5855			0.595108			0.297554	+	0.954705i	$0.403829\pi$
$380$	4.35299	−	0.226908i	0.223304	−	0.0116401i
$381$	−0.0802265			−0.00411013
$382$	−2.89246	−	2.42706i	−0.147991	−	0.124179i
$383$	−27.3254	+	9.94564i	−1.39626	+	0.508199i	−0.927067	−	0.374895i	$-0.877679\pi$
$383$	−27.3254	+	9.94564i	−1.39626	+	0.508199i	−0.469197	+	0.883094i	$0.655457\pi$
$384$	−0.100093	−	0.567654i	−0.00510783	−	0.0289680i
$385$	4.53502	−	25.7194i	0.231126	−	1.31078i
$386$	11.4435	+	4.16508i	0.582457	+	0.211997i
$387$	1.97233	+	3.41617i	0.100259	+	0.173654i
$388$	3.03956	−	5.26467i	0.154310	−	0.267273i
$389$	22.8144	−	19.1436i	1.15674	−	0.970618i	0.156882	−	0.987617i	$-0.449856\pi$
$389$	22.8144	−	19.1436i	1.15674	−	0.970618i	0.999856	+	0.0169993i	$0.00541131\pi$
$390$	1.70316	−	1.42912i	0.0862430	−	0.0723665i
$391$	−3.74282	+	6.48276i	−0.189283	+	0.327847i
$392$	8.33016	+	14.4283i	0.420737	+	0.728737i
$393$	−6.73274	−	2.45052i	−0.339622	−	0.123612i
$394$	−1.25068	+	7.09294i	−0.0630082	+	0.357337i
$395$	−2.88812	−	16.3793i	−0.145317	−	0.824133i
$396$	−13.4595	+	4.89887i	−0.676367	+	0.246178i
$397$	4.80307	+	4.03025i	0.241059	+	0.202273i	0.755311	−	0.655367i	$-0.227486\pi$
$397$	4.80307	+	4.03025i	0.241059	+	0.202273i	−0.514252	+	0.857639i	$0.671930\pi$
$398$	−5.83709			−0.292587
$399$	−9.75834	−	7.35772i	−0.488528	−	0.368347i
$400$	1.00000			0.0500000
$401$	7.58485	+	6.36445i	0.378769	+	0.317825i	0.812219	−	0.583353i	$-0.198259\pi$
$401$	7.58485	+	6.36445i	0.378769	+	0.317825i	−0.433450	+	0.901178i	$0.642704\pi$
$402$	4.57417	−	1.66486i	0.228139	−	0.0830357i
$403$	−5.49483	−	31.1627i	−0.273717	−	1.55233i
$404$	0.218046	−	1.23660i	0.0108482	−	0.0615231i
$405$	−5.75106	−	2.09321i	−0.285772	−	0.104013i
$406$	8.83769	+	15.3073i	0.438607	+	0.759690i
$407$	−28.0786	+	48.6335i	−1.39180	+	2.41067i
$408$	−0.619103	+	0.519489i	−0.0306502	+	0.0257185i
$409$	−23.4859	+	19.7070i	−1.16130	+	0.974449i	−0.999923	−	0.0124433i	$-0.996039\pi$
$409$	−23.4859	+	19.7070i	−1.16130	+	0.974449i	−0.161380	+	0.986892i	$0.551595\pi$
$410$	−0.954151	+	1.65264i	−0.0471222	+	0.0816180i
$411$	4.14486	+	7.17910i	0.204451	+	0.354119i
$412$	−6.92276	−	2.51968i	−0.341060	−	0.124136i
$413$	6.18717	−	35.0892i	0.304451	−	1.72663i
$414$	2.47325	+	14.0265i	0.121554	+	0.689365i
$415$	−13.5889	+	4.94595i	−0.667052	+	0.242787i
$416$	2.95477	+	2.47935i	0.144870	+	0.121560i
$417$	10.2896			0.503882
$418$	−21.5454	+	9.13834i	−1.05382	+	0.446971i
$419$	17.9296			0.875916			0.437958	−	0.898995i	$-0.355702\pi$
$419$	17.9296			0.875916			0.437958	+	0.898995i	$0.355702\pi$
$420$	−2.14781	−	1.80223i	−0.104802	−	0.0879397i
$421$	30.2850	−	11.0228i	1.47600	−	0.537220i	0.526278	−	0.850313i	$-0.323587\pi$
$421$	30.2850	−	11.0228i	1.47600	−	0.537220i	0.949723	+	0.313093i	$0.101365\pi$
$422$	−1.85299	−	10.5088i	−0.0902022	−	0.511562i
$423$	1.44549	−	8.19775i	0.0702819	−	0.398588i
$424$	−1.69146	−	0.615640i	−0.0821444	−	0.0298981i
$425$	−0.701047	−	1.21425i	−0.0340058	−	0.0588997i
$426$	1.73684	−	3.00830i	0.0841503	−	0.145753i
$427$	−30.2382	+	25.3728i	−1.46333	+	1.22788i
$428$	−6.68816	+	5.61204i	−0.323285	+	0.271268i
$429$	−5.96858	+	10.3379i	−0.288166	+	0.499118i
$430$	0.739321	+	1.28054i	0.0356532	+	0.0617532i
$431$	1.30703	+	0.475720i	0.0629575	+	0.0229146i	0.373307	−	0.927708i	$-0.378224\pi$
$431$	1.30703	+	0.475720i	0.0629575	+	0.0229146i	−0.310349	+	0.950623i	$0.600446\pi$
$432$	−0.567300	+	3.21732i	−0.0272942	+	0.154793i
$433$	5.77441	+	32.7483i	0.277500	+	1.57378i	0.730906	+	0.682478i	$0.239098\pi$
$433$	5.77441	+	32.7483i	0.277500	+	1.57378i	−0.453406	+	0.891304i	$0.649791\pi$
$434$	−37.4981	+	13.6482i	−1.79997	+	0.655135i
$435$	−1.60452	−	1.34635i	−0.0769307	−	0.0645525i
$436$	8.12981			0.389347
$437$	5.22866	+	22.6768i	0.250121	+	1.08478i
$438$	0.735663			0.0351513
$439$	−27.6648	−	23.2135i	−1.32037	−	1.10792i	−0.986227	−	0.165397i	$-0.947109\pi$
$439$	−27.6648	−	23.2135i	−1.32037	−	1.10792i	−0.334141	−	0.942523i	$-0.608446\pi$
$440$	−5.04528	+	1.83633i	−0.240524	+	0.0875436i
$441$	−7.71789	−	43.7704i	−0.367519	−	2.08430i
$442$	0.939112	−	5.32597i	0.0446690	−	0.253330i
$443$	−30.0586	−	10.9404i	−1.42813	−	0.519795i	−0.491732	−	0.870746i	$-0.663636\pi$
$443$	−30.0586	−	10.9404i	−1.42813	−	0.519795i	−0.936394	+	0.350951i	$0.885858\pi$
$444$	3.01445	+	5.22118i	0.143059	+	0.247786i
$445$	−4.80426	+	8.32122i	−0.227744	+	0.394463i
$446$	0.0761973	−	0.0639371i	0.00360805	−	0.00302751i
$447$	−1.27459	+	1.06951i	−0.0602860	+	0.0505860i
$448$	2.43209	−	4.21251i	0.114906	−	0.199022i
$449$	1.09116	+	1.88995i	0.0514951	+	0.0891922i	0.890624	−	0.454741i	$-0.150268\pi$
$449$	1.09116	+	1.88995i	0.0514951	+	0.0891922i	−0.839129	+	0.543933i	$0.816935\pi$
$450$	−2.50687	−	0.912424i	−0.118175	−	0.0430121i
$451$	1.77917	−	10.0902i	0.0837777	−	0.475127i
$452$	−0.778308	−	4.41400i	−0.0366085	−	0.207617i
$453$	−1.09307	+	0.397846i	−0.0513570	+	0.0186924i
$454$	10.5915	+	8.88734i	0.497084	+	0.417103i
$455$	18.7621			0.879579
$456$	−0.306897	+	2.49370i	−0.0143718	+	0.116778i
$457$	−37.2037			−1.74031			−0.870157	−	0.492774i	$-0.835983\pi$
$457$	−37.2037			−1.74031			−0.870157	+	0.492774i	$0.835983\pi$
$458$	−11.9313	−	10.0115i	−0.557512	−	0.467808i
$459$	4.30433	−	1.56665i	0.200909	−	0.0731248i
$460$	0.927092	+	5.25780i	0.0432259	+	0.245146i
$461$	−0.847556	+	4.80673i	−0.0394746	+	0.223872i	−0.998163	−	0.0605870i	$-0.980703\pi$
$461$	−0.847556	+	4.80673i	−0.0394746	+	0.223872i	0.958688	+	0.284459i	$0.0918138\pi$
$462$	14.1458	+	5.14865i	0.658122	+	0.239537i
$463$	10.1113	+	17.5133i	0.469913	+	0.813914i	0.999408	−	0.0343994i	$-0.0109518\pi$
$463$	10.1113	+	17.5133i	0.469913	+	0.813914i	−0.529495	+	0.848313i	$0.677619\pi$
$464$	1.81689	−	3.14694i	0.0843470	−	0.146093i
$465$	3.62243	−	3.03958i	0.167986	−	0.140957i
$466$	11.6753	−	9.79677i	0.540850	−	0.453827i
$467$	−19.5063	+	33.7859i	−0.902644	+	1.56342i	−0.0785944	+	0.996907i	$0.525043\pi$
$467$	−19.5063	+	33.7859i	−0.902644	+	1.56342i	−0.824049	+	0.566518i	$0.808290\pi$
$468$	−5.14500	−	8.91140i	−0.237828	−	0.411930i
$469$	38.6003	+	14.0493i	1.78239	+	0.648739i
$470$	0.541837	−	3.07291i	0.0249931	−	0.141743i
$471$	−1.10496	−	6.26656i	−0.0509140	−	0.288748i
$472$	−6.88331	+	2.50532i	−0.316830	+	0.115317i
$473$	−6.08158	−	5.10305i	−0.279631	−	0.234639i
$474$	9.58686			0.440339
$475$	−4.16808	−	1.27559i	−0.191245	−	0.0585279i
$476$	−6.82004			−0.312596
$477$	3.67853	+	3.08665i	0.168428	+	0.141328i
$478$	15.8088	−	5.75392i	0.723076	−	0.263178i
$479$	−5.39865	−	30.6172i	−0.246670	−	1.39894i	−0.816581	−	0.577231i	$-0.804133\pi$
$479$	−5.39865	−	30.6172i	−0.246670	−	1.39894i	0.569911	−	0.821707i	$-0.306978\pi$
$480$	−0.100093	+	0.567654i	−0.00456858	+	0.0259097i
$481$	−37.9107	−	13.7984i	−1.72858	−	0.629151i
$482$	−4.55349	−	7.88688i	−0.207406	−	0.359237i
$483$	7.48453	−	12.9636i	0.340558	−	0.589864i
$484$	13.6562	−	11.4589i	0.620737	−	0.520860i
$485$	−4.65687	+	3.90758i	−0.211458	+	0.177434i
$486$	6.66429	−	11.5429i	0.302298	−	0.523596i
$487$	13.9870	+	24.2263i	0.633813	+	1.09780i	0.986765	+	0.162155i	$0.0518445\pi$
$487$	13.9870	+	24.2263i	0.633813	+	1.09780i	−0.352952	+	0.935641i	$0.614822\pi$
$488$	7.62565	+	2.77551i	0.345197	+	0.125641i
$489$	−0.593418	+	3.36544i	−0.0268353	+	0.152191i
$490$	−2.89303	−	16.4072i	−0.130694	−	0.741202i
$491$	−2.79400	+	1.01693i	−0.126091	+	0.0458935i	−0.404295	−	0.914629i	$-0.632483\pi$
$491$	−2.79400	+	1.01693i	−0.126091	+	0.0458935i	0.278204	+	0.960522i	$0.410261\pi$
$492$	−0.842623	−	0.707045i	−0.0379884	−	0.0318760i
$493$	−5.09490			−0.229463
$494$	−9.15311	−	14.1032i	−0.411818	−	0.634533i
$495$	14.3233			0.643786
$496$	6.28445	+	5.27328i	0.282180	+	0.236777i
$497$	27.5458	−	10.0258i	1.23560	−	0.449720i
$498$	−1.44744	−	8.20883i	−0.0648612	−	0.367846i
$499$	3.20155	−	18.1569i	0.143321	−	0.812815i	−0.825379	−	0.564580i	$-0.809038\pi$
$499$	3.20155	−	18.1569i	0.143321	−	0.812815i	0.968700	−	0.248235i	$-0.0798506\pi$
$500$	−0.939693	−	0.342020i	−0.0420243	−	0.0152956i
$501$	−2.08304	−	3.60794i	−0.0930636	−	0.161191i
$502$	8.40288	−	14.5542i	0.375039	−	0.649586i
$503$	2.50412	−	2.10120i	0.111653	−	0.0936881i	−0.585252	−	0.810852i	$-0.699004\pi$
$503$	2.50412	−	2.10120i	0.111653	−	0.0936881i	0.696905	+	0.717163i	$0.254560\pi$
$504$	−9.94053	+	8.34110i	−0.442786	+	0.371542i
$505$	−0.627838	+	1.08745i	−0.0279384	+	0.0483908i
$506$	−14.3325	−	24.8246i	−0.637157	−	1.10359i
$507$	−1.01714	−	0.370209i	−0.0451728	−	0.0164416i
$508$	−0.0241688	+	0.137068i	−0.00107232	+	0.00608142i
$509$	6.53272	+	37.0489i	0.289558	+	1.64216i	0.688536	+	0.725202i	$0.258254\pi$
$509$	6.53272	+	37.0489i	0.289558	+	1.64216i	−0.398978	+	0.916960i	$0.630635\pi$
$510$	0.759442	−	0.276414i	0.0336287	−	0.0122398i
$511$	4.75567	+	3.99048i	0.210378	+	0.176528i
$512$	−1.00000			−0.0441942
$513$	6.46852	−	12.6864i	0.285592	−	0.560118i
$514$	9.89728			0.436550
$515$	5.64349	+	4.73545i	0.248682	+	0.208669i
$516$	−0.800905	+	0.291506i	−0.0352579	+	0.0128328i
$517$	2.90916	+	16.4987i	0.127945	+	0.725610i
$518$	−8.83459	+	50.1034i	−0.388169	+	2.20142i
$519$	2.79412	+	1.01698i	0.122648	+	0.0446403i
$520$	−1.92859	−	3.34042i	−0.0845743	−	0.146487i
$521$	−15.7203	+	27.2284i	−0.688719	+	1.19290i	0.283533	+	0.958962i	$0.408493\pi$
$521$	−15.7203	+	27.2284i	−0.688719	+	1.19290i	−0.972252	+	0.233934i	$0.924840\pi$
$522$	−7.42605	+	6.23119i	−0.325029	+	0.272732i
$523$	3.43679	−	2.88381i	0.150280	−	0.126100i	−0.564548	−	0.825400i	$-0.690949\pi$
$523$	3.43679	−	2.88381i	0.150280	−	0.126100i	0.714828	+	0.699300i	$0.246505\pi$
$524$	−6.21505	+	10.7648i	−0.271506	+	0.470261i
$525$	1.40188	+	2.42814i	0.0611833	+	0.105973i
$526$	−21.0609	−	7.66554i	−0.918299	−	0.334233i
$527$	1.99738	−	11.3277i	0.0870073	−	0.493443i
$528$	−0.537405	−	3.04777i	−0.0233875	−	0.132637i
$529$	−5.17201	+	1.88246i	−0.224870	+	0.0818460i
$530$	1.37889	+	1.15702i	0.0598950	+	0.0502579i
$531$	19.5415			0.848027
$532$	−15.5106	+	14.4557i	−0.672469	+	0.626735i
$533$	7.36067			0.318826
$534$	−4.24270	−	3.56005i	−0.183599	−	0.154058i
$535$	8.20425	−	2.98610i	0.354701	−	0.129100i
$536$	−1.46644	−	8.31660i	−0.0633406	−	0.359222i
$537$	0.819129	−	4.64551i	0.0353480	−	0.200469i
$538$	7.02217	+	2.55586i	0.302747	+	0.110191i
$539$	44.7252	+	77.4664i	1.92645	+	3.33671i
$540$	1.63348	−	2.82926i	0.0702936	−	0.121752i
$541$	17.0269	−	14.2873i	0.732045	−	0.614259i	−0.198643	−	0.980072i	$-0.563653\pi$
$541$	17.0269	−	14.2873i	0.732045	−	0.614259i	0.930688	+	0.365813i	$0.119209\pi$
$542$	8.15902	−	6.84623i	0.350460	−	0.294071i
$543$	0.989225	−	1.71339i	0.0424517	−	0.0735285i
$544$	0.701047	+	1.21425i	0.0300571	+	0.0520605i
$545$	−7.63952	−	2.78056i	−0.327241	−	0.119106i
$546$	−1.87794	+	10.6504i	−0.0803686	+	0.455793i
$547$	−5.00894	−	28.4071i	−0.214167	−	1.21460i	−0.882347	−	0.470600i	$-0.844038\pi$
$547$	−5.00894	−	28.4071i	−0.214167	−	1.21460i	0.668180	−	0.744000i	$-0.267074\pi$
$548$	13.5143	−	4.91880i	0.577302	−	0.210121i
$549$	−16.5840	−	13.9157i	−0.707790	−	0.593906i
$550$	5.36907			0.228938
$551$	−11.5871	+	10.7991i	−0.493629	+	0.460058i
$552$	−3.07740			−0.130983
$553$	61.9739	+	52.0023i	2.63540	+	2.21136i
$554$	−2.18604	+	0.795654i	−0.0928760	+	0.0338041i
$555$	−1.04691	−	5.93730i	−0.0444387	−	0.252024i
$556$	3.09981	−	17.5799i	0.131461	−	0.745554i
$557$	26.3406	+	9.58721i	1.11609	+	0.406223i	0.833223	−	0.552937i	$-0.186493\pi$
$557$	26.3406	+	9.58721i	1.11609	+	0.406223i	0.282865	+	0.959160i	$0.408715\pi$
$558$	−10.9428	−	18.9535i	−0.463246	−	0.802366i
$559$	2.85170	−	4.93929i	0.120614	−	0.208910i
$560$	−3.72618	+	3.12664i	−0.157460	+	0.132125i
$561$	−3.32401	+	2.78917i	−0.140340	+	0.117759i
$562$	−8.53656	+	14.7858i	−0.360093	+	0.623699i
$563$	3.28614	+	5.69177i	0.138494	+	0.239879i	0.926927	−	0.375242i	$-0.122440\pi$
$563$	3.28614	+	5.69177i	0.138494	+	0.239879i	−0.788432	+	0.615121i	$0.789107\pi$
$564$	1.69011	+	0.615151i	0.0711666	+	0.0259025i
$565$	−0.778308	+	4.41400i	−0.0327437	+	0.185699i
$566$	−1.47044	−	8.33927i	−0.0618071	−	0.350526i
$567$	27.9742	−	10.1818i	1.17481	−	0.427595i
$568$	−4.61650	−	3.87370i	−0.193704	−	0.162537i
$569$	3.90032			0.163510			0.0817549	−	0.996652i	$-0.473948\pi$
$569$	3.90032			0.163510			0.0817549	+	0.996652i	$0.473948\pi$
$570$	1.14129	−	2.23835i	0.0478032	−	0.0937541i
$571$	18.1559			0.759802			0.379901	−	0.925027i	$-0.375958\pi$
$571$	18.1559			0.759802			0.379901	+	0.925027i	$0.375958\pi$
$572$	15.8644	+	13.3118i	0.663323	+	0.556594i
$573$	−2.04518	+	0.744385i	−0.0854386	+	0.0310971i
$574$	−1.61186	−	9.14132i	−0.0672778	−	0.381551i
$575$	0.927092	−	5.25780i	0.0386624	−	0.219265i
$576$	2.50687	+	0.912424i	0.104453	+	0.0380177i
$577$	−7.00915	−	12.1402i	−0.291795	−	0.505403i	0.682439	−	0.730942i	$-0.260919\pi$
$577$	−7.00915	−	12.1402i	−0.291795	−	0.505403i	−0.974234	+	0.225539i	$0.927586\pi$
$578$	−7.51707	+	13.0199i	−0.312669	+	0.541558i
$579$	5.37721	−	4.51202i	0.223469	−	0.187513i
$580$	−2.78364	+	2.33575i	−0.115584	+	0.0969867i
$581$	35.1705	−	60.9170i	1.45912	−	2.52726i
$582$	−1.75203	−	3.03461i	−0.0726241	−	0.125789i
$583$	−9.08155	−	3.30541i	−0.376119	−	0.136896i
$584$	0.221624	−	1.25689i	0.00917088	−	0.0520106i
$585$	1.78684	+	10.1337i	0.0738768	+	0.418976i
$586$	−2.43610	+	0.886667i	−0.100634	+	0.0366279i
$587$	−5.83061	−	4.89246i	−0.240655	−	0.201933i	0.514481	−	0.857502i	$-0.327985\pi$
$587$	−5.83061	−	4.89246i	−0.240655	−	0.201933i	−0.755136	+	0.655568i	$0.772429\pi$
$588$	9.60319			0.396029
$589$	−19.4676	−	29.9958i	−0.802148	−	1.23596i
$590$	7.32507			0.301568
$591$	3.18025	+	2.66855i	0.130818	+	0.109769i
$592$	9.82860	−	3.57732i	0.403953	−	0.147027i
$593$	−1.63620	−	9.27933i	−0.0671905	−	0.381056i	−0.999797	−	0.0201608i	$-0.993582\pi$
$593$	−1.63620	−	9.27933i	−0.0671905	−	0.381056i	0.932606	−	0.360896i	$-0.117529\pi$
$594$	−3.04587	+	17.2740i	−0.124974	+	0.708761i
$595$	6.40875	+	2.33259i	0.262733	+	0.0956270i
$596$	1.44329	+	2.49986i	0.0591196	+	0.102398i
$597$	−1.68228	+	2.91380i	−0.0688512	+	0.119254i
$598$	15.7753	−	13.2370i	0.645099	−	0.541302i
$599$	10.7502	−	9.02053i	0.439243	−	0.368569i	−0.396183	−	0.918172i	$-0.629665\pi$
$599$	10.7502	−	9.02053i	0.439243	−	0.368569i	0.835426	+	0.549603i	$0.185221\pi$
$600$	0.288205	−	0.499186i	0.0117659	−	0.0203792i
$601$	6.78599	+	11.7537i	0.276806	+	0.479443i	0.970589	−	0.240742i	$-0.0773906\pi$
$601$	6.78599	+	11.7537i	0.276806	+	0.479443i	−0.693783	+	0.720184i	$0.744057\pi$
$602$	−6.75864	−	2.45994i	−0.275462	−	0.100260i
$603$	−3.91210	+	22.1866i	−0.159313	+	0.903508i
$604$	0.350430	+	1.98739i	0.0142588	+	0.0808657i
$605$	−16.7518	+	6.09716i	−0.681058	+	0.247885i
$606$	−0.554451	−	0.465240i	−0.0225231	−	0.0188991i
$607$	2.07689			0.0842984			0.0421492	−	0.999111i	$-0.486580\pi$
$607$	2.07689			0.0842984			0.0421492	+	0.999111i	$0.486580\pi$
$608$	4.16808	+	1.27559i	0.169038	+	0.0517318i
$609$	10.1883			0.412850
$610$	−6.21649	−	5.21625i	−0.251698	−	0.211200i
$611$	−11.3098	+	4.11642i	−0.457545	+	0.166533i
$612$	−0.649520	−	3.68361i	−0.0262553	−	0.148901i
$613$	−2.86849	+	16.2680i	−0.115857	+	0.657059i	0.870465	+	0.492230i	$0.163818\pi$
$613$	−2.86849	+	16.2680i	−0.115857	+	0.657059i	−0.986322	+	0.164828i	$0.947293\pi$
$614$	−3.87311	−	1.40970i	−0.156306	−	0.0568908i
$615$	0.549983	+	0.952599i	0.0221775	+	0.0384125i
$616$	13.0581	−	22.6173i	0.526125	−	0.911275i
$617$	17.5283	−	14.7080i	0.705661	−	0.592120i	−0.217717	−	0.976012i	$-0.569861\pi$
$617$	17.5283	−	14.7080i	0.705661	−	0.592120i	0.923378	+	0.383892i	$0.125417\pi$
$618$	−3.25297	+	2.72956i	−0.130853	+	0.109799i
$619$	6.66514	−	11.5444i	0.267895	−	0.464007i	−0.700423	−	0.713728i	$-0.747005\pi$
$619$	6.66514	−	11.5444i	0.267895	−	0.464007i	0.968318	+	0.249721i	$0.0803388\pi$
$620$	−4.10189	−	7.10468i	−0.164736	−	0.285331i
$621$	16.3901	+	5.96550i	0.657711	+	0.239387i
$622$	−0.431179	+	2.44534i	−0.0172887	+	0.0980492i
$623$	−8.11590	−	46.0276i	−0.325157	−	1.84406i
$624$	2.08924	−	0.760421i	0.0836365	−	0.0304412i
$625$	0.766044	+	0.642788i	0.0306418	+	0.0257115i
$626$	−5.38145			−0.215086
$627$	−1.64775	+	13.3889i	−0.0658048	+	0.534700i
$628$	−11.0394			−0.440520
$629$	−11.2341	−	9.42649i	−0.447931	−	0.375859i
$630$	12.1939	−	4.43820i	0.485815	−	0.176822i
$631$	1.51546	+	8.59462i	0.0603297	+	0.342147i	1.00000		6.52024e-5i	$2.07546e-5\pi$
$631$	1.51546	+	8.59462i	0.0603297	+	0.342147i	−0.939670	+	0.342081i	$0.888868\pi$
$632$	2.88812	−	16.3793i	0.114883	−	0.651534i
$633$	−5.77991	−	2.10372i	−0.229731	−	0.0836152i
$634$	9.73266	+	16.8575i	0.386533	+	0.669495i
$635$	0.0695914	−	0.120536i	0.00276165	−	0.00478332i
$636$	−0.794805	+	0.666921i	−0.0315161	+	0.0264451i
$637$	−49.2275	+	41.3068i	−1.95046	+	1.63663i
$638$	9.75501	−	16.8962i	0.386204	−	0.668926i
$639$	8.03848	+	13.9230i	0.317997	+	0.550787i
$640$	0.939693	+	0.342020i	0.0371446	+	0.0135195i
$641$	−0.151753	+	0.860632i	−0.00599387	+	0.0339929i	−0.987658	−	0.156626i	$-0.949938\pi$
$641$	−0.151753	+	0.860632i	−0.00599387	+	0.0339929i	0.981664	+	0.190619i	$0.0610494\pi$
$642$	0.873887	+	4.95606i	0.0344896	+	0.195600i
$643$	17.8620	−	6.50122i	0.704407	−	0.256383i	0.0351158	−	0.999383i	$-0.488820\pi$
$643$	17.8620	−	6.50122i	0.704407	−	0.256383i	0.669291	+	0.743000i	$0.266598\pi$
$644$	−19.8938	−	16.6928i	−0.783924	−	0.657790i
$645$	0.852306			0.0335595
$646$	−1.37314	−	5.95533i	−0.0540255	−	0.234309i
$647$	14.4175			0.566810			0.283405	−	0.959000i	$-0.408536\pi$
$647$	14.4175			0.566810			0.283405	+	0.959000i	$0.408536\pi$
$648$	−4.68830	−	3.93395i	−0.184174	−	0.154540i
$649$	−36.9570	+	13.4512i	−1.45069	+	0.528007i
$650$	0.669793	+	3.79858i	0.0262714	+	0.148993i
$651$	−3.99417	+	22.6520i	−0.156544	+	0.887804i
$652$	5.57114	+	2.02773i	0.218183	+	0.0794121i
$653$	−5.23384	−	9.06528i	−0.204816	−	0.354752i	0.745258	−	0.666776i	$-0.232326\pi$
$653$	−5.23384	−	9.06528i	−0.204816	−	0.354752i	−0.950074	+	0.312024i	$0.898993\pi$
$654$	2.34306	−	4.05829i	0.0916207	−	0.158692i
$655$	9.52200	−	7.98991i	0.372055	−	0.312192i
$656$	−1.46184	+	1.22663i	−0.0570755	+	0.0478920i
$657$	−1.70240	+	2.94865i	−0.0664171	+	0.115038i
$658$	7.58889	+	13.1444i	0.295846	+	0.512420i
$659$	−5.20991	−	1.89625i	−0.202949	−	0.0738675i	0.238545	−	0.971131i	$-0.423329\pi$
$659$	−5.20991	−	1.89625i	−0.202949	−	0.0738675i	−0.441495	+	0.897264i	$0.645552\pi$
$660$	−0.537405	+	3.04777i	−0.0209184	+	0.118634i
$661$	5.00125	+	28.3635i	0.194526	+	1.10321i	0.913092	+	0.407753i	$0.133688\pi$
$661$	5.00125	+	28.3635i	0.194526	+	1.10321i	−0.718566	+	0.695459i	$0.755201\pi$
$662$	−17.5818	+	6.39927i	−0.683338	+	0.248715i
$663$	−2.38799	−	2.00376i	−0.0927420	−	0.0778198i
$664$	−14.4610			−0.561195
$665$	19.5193	−	8.27901i	0.756927	−	0.321046i
$666$	−27.9030			−1.08122
$667$	−14.8616	−	12.4703i	−0.575443	−	0.482854i
$668$	−6.79176	+	2.47200i	−0.262781	+	0.0956445i
$669$	−0.00995606	−	0.0564636i	−0.000384924	−	0.00218301i
$670$	−1.46644	+	8.31660i	−0.0566535	+	0.321298i
$671$	40.9427	+	14.9019i	1.58057	+	0.575282i
$672$	−1.40188	−	2.42814i	−0.0540789	−	0.0936674i
$673$	−19.9705	+	34.5899i	−0.769807	+	1.33334i	0.167861	+	0.985811i	$0.446314\pi$
$673$	−19.9705	+	34.5899i	−0.769807	+	1.33334i	−0.937668	+	0.347533i	$0.887019\pi$
$674$	19.2255	−	16.1322i	0.740540	−	0.621387i
$675$	−2.50263	+	2.09996i	−0.0963263	+	0.0808274i
$676$	−0.938930	+	1.62627i	−0.0361127	+	0.0625490i
$677$	−7.29022	−	12.6270i	−0.280186	−	0.485296i	0.691245	−	0.722621i	$-0.257063\pi$
$677$	−7.29022	−	12.6270i	−0.280186	−	0.485296i	−0.971430	+	0.237325i	$0.923729\pi$
$678$	−2.42772	−	0.883619i	−0.0932361	−	0.0339352i
$679$	5.13477	−	29.1207i	0.197054	−	1.11755i
$680$	−0.243471	−	1.38079i	−0.00933668	−	0.0529510i
$681$	7.48897	−	2.72576i	0.286978	−	0.104451i
$682$	33.7417	+	28.3126i	1.29204	+	1.08415i
$683$	−26.6159			−1.01843			−0.509214	−	0.860640i	$-0.670064\pi$
$683$	−26.6159			−1.01843			−0.509214	+	0.860640i	$0.670064\pi$
$684$	−9.28494	−	7.00078i	−0.355018	−	0.267681i
$685$	−14.3816			−0.549493
$686$	35.9961	+	30.2043i	1.37434	+	1.15321i
$687$	−8.43628	+	3.07056i	−0.321864	+	0.117149i
$688$	0.256764	+	1.45618i	0.00978902	+	0.0555163i
$689$	1.20563	−	6.83749i	0.0459310	−	0.260488i
$690$	2.89181	+	1.05253i	0.110089	+	0.0400693i
$691$	−18.6248	−	32.2591i	−0.708521	−	1.22719i	−0.965406	−	0.260752i	$-0.916029\pi$
$691$	−18.6248	−	32.2591i	−0.708521	−	1.22719i	0.256885	−	0.966442i	$-0.417304\pi$
$692$	2.57927	−	4.46743i	0.0980492	−	0.169826i
$693$	−53.3714	+	44.7839i	−2.02741	+	1.70120i
$694$	−17.4302	+	14.6257i	−0.661642	+	0.555183i
$695$	−8.92555	+	15.4595i	−0.338566	+	0.586413i
$696$	−1.04727	−	1.81393i	−0.0396968	−	0.0687569i
$697$	2.51426	+	0.915115i	0.0952344	+	0.0346625i
$698$	−2.28587	+	12.9638i	−0.0865215	+	0.490688i
$699$	−1.52552	−	8.65165i	−0.0577004	−	0.327235i
$700$	4.57084	−	1.66365i	0.172762	−	0.0628801i
$701$	−30.3425	−	25.4604i	−1.14602	−	0.961626i	−0.146402	−	0.989225i	$-0.546769\pi$
$701$	−30.3425	−	25.4604i	−1.14602	−	0.961626i	−0.999619	+	0.0275989i	$0.991214\pi$
$702$	−12.6012			−0.475603
$703$	−45.5295	+	2.37332i	−1.71718	+	0.0895114i
$704$	−5.36907			−0.202354
$705$	−1.37779	−	1.15611i	−0.0518907	−	0.0435415i
$706$	−11.5635	+	4.20877i	−0.435198	+	0.158399i
$707$	−1.06062	−	6.01505i	−0.0398886	−	0.226219i
$708$	−0.733185	+	4.15810i	−0.0275548	+	0.156271i
$709$	34.4453	+	12.5371i	1.29362	+	0.470839i	0.894914	−	0.446239i	$-0.147237\pi$
$709$	34.4453	+	12.5371i	1.29362	+	0.470839i	0.398707	+	0.917079i	$0.369459\pi$
$710$	3.01320	+	5.21902i	0.113084	+	0.195866i
$711$	−22.1850	+	38.4256i	−0.832003	+	1.44107i
$712$	−7.36055	+	6.17623i	−0.275848	+	0.231464i
$713$	33.5521	−	28.1536i	1.25654	−	1.05436i
$714$	−1.96557	+	3.40447i	−0.0735597	+	0.127409i
$715$	−10.3547	−	17.9349i	−0.387245	−	0.670729i
$716$	−7.69017	−	2.79899i	−0.287395	−	0.104603i
$717$	1.68389	−	9.54983i	0.0628861	−	0.356645i
$718$	−2.18123	−	12.3704i	−0.0814028	−	0.461658i
$719$	−10.3333	+	3.76101i	−0.385367	+	0.140262i	−0.527436	−	0.849595i	$-0.676847\pi$
$719$	−10.3333	+	3.76101i	−0.385367	+	0.140262i	0.142069	+	0.989857i	$0.454624\pi$
$720$	−2.04362	−	1.71480i	−0.0761611	−	0.0639067i
$721$	−35.8347			−1.33455
$722$	−15.7458	−	10.6335i	−0.585997	−	0.395737i
$723$	−5.24936			−0.195226
$724$	−2.62934	−	2.20628i	−0.0977187	−	0.0819957i
$725$	3.41464	−	1.24283i	0.126816	−	0.0461574i
$726$	−1.78434	−	10.1195i	−0.0662232	−	0.375570i
$727$	7.88597	−	44.7236i	0.292475	−	1.65871i	−0.384818	−	0.922992i	$-0.625736\pi$
$727$	7.88597	−	44.7236i	0.292475	−	1.65871i	0.677293	−	0.735714i	$-0.263153\pi$
$728$	17.6306	+	6.41700i	0.653432	+	0.237830i
$729$	5.33885	+	9.24717i	0.197735	+	0.342488i
$730$	−0.638142	+	1.10529i	−0.0236187	+	0.0409088i
$731$	1.58816	−	1.33262i	0.0587402	−	0.0492889i
$732$	3.58325	−	3.00670i	0.132441	−	0.111131i
$733$	13.5168	−	23.4118i	0.499255	−	0.864735i	−0.500744	−	0.865595i	$-0.666940\pi$
$733$	13.5168	−	23.4118i	0.499255	−	0.864735i	1.00000		0.000859816i	$0.000273688\pi$
$734$	1.34225	+	2.32485i	0.0495435	+	0.0858119i
$735$	−9.02404	−	3.28448i	−0.332857	−	0.121150i
$736$	−0.927092	+	5.25780i	−0.0341731	+	0.193805i
$737$	−7.87342	−	44.6524i	−0.290021	−	1.64479i
$738$	4.78386	−	1.74118i	0.176096	−	0.0640938i
$739$	−0.964167	−	0.809032i	−0.0354675	−	0.0297607i	0.624882	−	0.780720i	$-0.285147\pi$
$739$	−0.964167	−	0.809032i	−0.0354675	−	0.0297607i	−0.660349	+	0.750959i	$0.729592\pi$
$740$	−10.4594			−0.384494
$741$	−9.67809	+	0.504490i	−0.355534	+	0.0185329i
$742$	−8.75559			−0.321428
$743$	40.0045	+	33.5678i	1.46762	+	1.23148i	0.918308	+	0.395867i	$0.129556\pi$
$743$	40.0045	+	33.5678i	1.46762	+	1.23148i	0.549315	+	0.835615i	$0.314889\pi$
$744$	4.44356	−	1.61733i	0.162909	−	0.0592940i
$745$	−0.501251	−	2.84273i	−0.0183644	−	0.104150i
$746$	3.21985	−	18.2607i	0.117887	−	0.668571i
$747$	36.2517	+	13.1945i	1.32638	+	0.482763i
$748$	3.76397	+	6.51938i	0.137624	+	0.238372i
$749$	−21.2341	+	36.7785i	−0.775876	+	1.34386i
$750$	−0.441556	+	0.370510i	−0.0161234	+	0.0135291i
$751$	0.810409	−	0.680014i	0.0295723	−	0.0248141i	−0.627882	−	0.778309i	$-0.716078\pi$
$751$	0.810409	−	0.680014i	0.0295723	−	0.0248141i	0.657454	+	0.753495i	$0.271633\pi$
$752$	1.56016	−	2.70227i	0.0568931	−	0.0985417i
$753$	−4.84351	−	8.38920i	−0.176507	−	0.305720i
$754$	13.1709	+	4.79381i	0.479655	+	0.174580i
$755$	0.350430	−	1.98739i	0.0127535	−	0.0723285i
$756$	2.75945	+	15.6496i	0.100360	+	0.569172i
$757$	−1.73900	+	0.632944i	−0.0632050	+	0.0230047i	−0.373429	−	0.927659i	$-0.621818\pi$
$757$	−1.73900	+	0.632944i	−0.0632050	+	0.0230047i	0.310224	+	0.950663i	$0.399596\pi$
$758$	−8.87503	−	7.44703i	−0.322355	−	0.270488i
$759$	−16.5228			−0.599739
$760$	−3.48044	−	2.62423i	−0.126249	−	0.0951907i
$761$	−31.8442			−1.15435			−0.577176	−	0.816620i	$-0.695845\pi$
$761$	−31.8442			−1.15435			−0.577176	+	0.816620i	$0.695845\pi$
$762$	0.0614570	+	0.0515686i	0.00222635	+	0.00186813i
$763$	37.1601	−	13.5252i	1.34529	−	0.489644i
$764$	0.655668	+	3.71848i	0.0237212	+	0.134530i
$765$	−0.649520	+	3.68361i	−0.0234834	+	0.133181i
$766$	27.3254	+	9.94564i	0.987308	+	0.359351i
$767$	−14.1271	−	24.4688i	−0.510099	−	0.883517i
$768$	−0.288205	+	0.499186i	−0.0103997	+	0.0180128i
$769$	0.0929228	−	0.0779715i	0.00335088	−	0.00281172i	−0.641111	−	0.767448i	$-0.721526\pi$
$769$	0.0929228	−	0.0779715i	0.00335088	−	0.00281172i	0.644462	+	0.764637i	$0.277082\pi$
$770$	−20.0061	+	16.7871i	−0.720971	+	0.604967i
$771$	2.85245	−	4.94059i	0.102728	−	0.177931i
$772$	−6.08894	−	10.5463i	−0.219146	−	0.379571i
$773$	32.7308	+	11.9131i	1.17725	+	0.428483i	0.855229	−	0.518251i	$-0.173417\pi$
$773$	32.7308	+	11.9131i	1.17725	+	0.428483i	0.322018	+	0.946734i	$0.395639\pi$
$774$	0.684981	−	3.88472i	0.0246211	−	0.139633i
$775$	1.42457	+	8.07914i	0.0511721	+	0.290211i
$776$	−5.71250	+	2.07918i	−0.205067	+	0.0746382i
$777$	22.4648	+	18.8502i	0.805919	+	0.676246i
$778$	−29.7821			−1.06774
$779$	7.65776	−	3.24800i	0.274368	−	0.116372i
$780$	−2.22332			−0.0796077
$781$	−24.7863	−	20.7982i	−0.886923	−	0.744217i
$782$	7.03421	−	2.56024i	0.251543	−	0.0915541i
$783$	2.06144	+	11.6910i	0.0736700	+	0.417803i
$784$	2.89303	−	16.4072i	0.103323	−	0.585972i
$785$	10.3736	+	3.77570i	0.370251	+	0.134760i
$786$	3.58242	+	6.20493i	0.127781	+	0.221323i
$787$	−9.58626	+	16.6039i	−0.341713	+	0.591865i	−0.984751	−	0.173970i	$-0.944340\pi$
$787$	−9.58626	+	16.6039i	−0.341713	+	0.591865i	0.643038	+	0.765834i	$0.277674\pi$
$788$	5.51733	−	4.62959i	0.196547	−	0.164922i
$789$	−9.89640	+	8.30406i	−0.352321	+	0.295632i
$790$	−8.31600	+	14.4037i	−0.295870	+	0.512462i
$791$	−10.9009	−	18.8809i	−0.387591	−	0.671327i
$792$	13.4595	+	4.89887i	0.478264	+	0.174074i
$793$	−5.43540	+	30.8257i	−0.193017	+	1.09465i
$794$	−1.08877	−	6.17471i	−0.0386389	−	0.219132i
$795$	0.974973	−	0.354861i	0.0345787	−	0.0125856i
$796$	4.47147	+	3.75201i	0.158487	+	0.132986i
$797$	−22.4041			−0.793593			−0.396796	−	0.917907i	$-0.629878\pi$
$797$	−22.4041			−0.793593			−0.396796	+	0.917907i	$0.629878\pi$
$798$	2.74587	+	11.9089i	0.0972028	+	0.421570i
$799$	−4.37497			−0.154775
$800$	−0.766044	−	0.642788i	−0.0270838	−	0.0227260i
$801$	24.0872	−	8.76704i	0.851081	−	0.309768i
$802$	−1.71935	−	9.75090i	−0.0607122	−	0.344316i
$803$	1.18992	−	6.74835i	0.0419912	−	0.238144i
$804$	−4.57417	−	1.66486i	−0.161318	−	0.0587151i
$805$	12.9847	+	22.4902i	0.457651	+	0.792676i
$806$	−15.8217	+	27.4040i	−0.557297	+	0.965266i
$807$	3.29968	−	2.76876i	0.116154	−	0.0974649i
$808$	−0.961904	+	0.807133i	−0.0338396	+	0.0283948i
$809$	−22.7973	+	39.4861i	−0.801511	+	1.38826i	0.117110	+	0.993119i	$0.462637\pi$
$809$	−22.7973	+	39.4861i	−0.801511	+	1.38826i	−0.918621	+	0.395139i	$0.870696\pi$
$810$	3.06007	+	5.30020i	0.107520	+	0.186230i
$811$	−35.6230	−	12.9657i	−1.25089	−	0.455288i	−0.370191	−	0.928956i	$-0.620708\pi$
$811$	−35.6230	−	12.9657i	−1.25089	−	0.455288i	−0.880704	+	0.473667i	$0.842930\pi$
$812$	3.06930	−	17.4069i	0.107711	−	0.610861i
$813$	−1.06607	−	6.04599i	−0.0373888	−	0.212042i
$814$	52.7704	−	19.2069i	1.84960	−	0.673200i
$815$	−4.54164	−	3.81089i	−0.159087	−	0.133490i
$816$	0.808181			0.0282920
$817$	0.787270	−	6.39699i	0.0275431	−	0.223802i
$818$	30.6587			1.07196
$819$	−38.3424	−	32.1731i	−1.33979	−	1.12422i
$820$	1.79322	−	0.652678i	0.0626219	−	0.0227925i
$821$	9.63416	+	54.6380i	0.336235	+	1.90688i	0.414689	+	0.909963i	$0.363890\pi$
$821$	9.63416	+	54.6380i	0.336235	+	1.90688i	−0.0784541	+	0.996918i	$0.524998\pi$
$822$	1.43949	−	8.16377i	0.0502081	−	0.284744i
$823$	6.02255	+	2.19203i	0.209933	+	0.0764094i	0.444846	−	0.895607i	$-0.353258\pi$
$823$	6.02255	+	2.19203i	0.209933	+	0.0764094i	−0.234913	+	0.972016i	$0.575481\pi$
$824$	3.68352	+	6.38005i	0.128322	+	0.222260i
$825$	1.54739	−	2.68017i	0.0538734	−	0.0933114i
$826$	−27.2945	+	22.9028i	−0.949699	+	0.796892i
$827$	3.36481	−	2.82341i	0.117006	−	0.0981796i	−0.582407	−	0.812897i	$-0.697889\pi$
$827$	3.36481	−	2.82341i	0.117006	−	0.0981796i	0.699413	+	0.714717i	$0.253445\pi$
$828$	7.12144	−	12.3347i	0.247487	−	0.428660i
$829$	−25.0469	−	43.3826i	−0.869916	−	1.50674i	−0.862082	−	0.506769i	$-0.830840\pi$
$829$	−25.0469	−	43.3826i	−0.869916	−	1.50674i	−0.00783422	−	0.999969i	$-0.502494\pi$
$830$	13.5889	+	4.94595i	0.471677	+	0.171676i
$831$	−0.232849	+	1.32055i	−0.00807745	+	0.0458095i
$832$	−0.669793	−	3.79858i	−0.0232209	−	0.131692i
$833$	−21.9506	+	7.98936i	−0.760543	+	0.276815i
$834$	−7.88227	−	6.61401i	−0.272941	−	0.229024i
$835$	7.22764			0.250123
$836$	22.3787	+	6.84871i	0.773984	+	0.236868i
$837$	−26.8013			−0.926390
$838$	−13.7348	−	11.5249i	−0.474462	−	0.398121i
$839$	−28.3895	+	10.3329i	−0.980115	+	0.356733i	−0.781885	−	0.623423i	$-0.785742\pi$
$839$	−28.3895	+	10.3329i	−0.980115	+	0.356733i	−0.198230	+	0.980156i	$0.563519\pi$
$840$	0.486869	+	2.76117i	0.0167986	+	0.0952696i
$841$	−2.74289	+	15.5557i	−0.0945823	+	0.536403i
$842$	−30.2850	−	11.0228i	−1.04369	−	0.379872i
$843$	4.92056	+	8.52266i	0.169473	+	0.293536i
$844$	−5.33548	+	9.24132i	−0.183655	+	0.318099i
$845$	1.43852	−	1.20707i	0.0494868	−	0.0415243i
$846$	−6.37672	+	5.35070i	−0.219236	+	0.183961i
$847$	43.3567	−	75.0961i	1.48975	−	2.58033i
$848$	0.900005	+	1.55885i	0.0309063	+	0.0535313i
$849$	−4.58664	−	1.66940i	−0.157413	−	0.0572937i
$850$	−0.243471	+	1.38079i	−0.00835098	+	0.0473608i
$851$	−9.69680	−	54.9933i	−0.332402	−	1.88515i
$852$	−3.26420	+	1.18807i	−0.111830	+	0.0407026i
$853$	−9.07579	−	7.61549i	−0.310749	−	0.260750i	0.474052	−	0.880497i	$-0.342791\pi$
$853$	−9.07579	−	7.61549i	−0.310749	−	0.260750i	−0.784802	+	0.619747i	$0.787235\pi$
$854$	39.4731			1.35074
$855$	6.33058	+	9.75422i	0.216501	+	0.333587i
$856$	8.73078			0.298412
$857$	36.4650	+	30.5978i	1.24562	+	1.04520i	0.997063	+	0.0765828i	$0.0244010\pi$
$857$	36.4650	+	30.5978i	1.24562	+	1.04520i	0.248558	+	0.968617i	$0.420043\pi$
$858$	11.2173	−	4.08275i	0.382951	−	0.139383i
$859$	1.97498	+	11.2007i	0.0673853	+	0.382161i	0.999785	+	0.0207325i	$0.00659983\pi$
$859$	1.97498	+	11.2007i	0.0673853	+	0.382161i	−0.932400	+	0.361429i	$0.882289\pi$
$860$	0.256764	−	1.45618i	0.00875557	−	0.0496553i
$861$	−5.02777	−	1.82996i	−0.171346	−	0.0623648i
$862$	−0.695457	−	1.20457i	−0.0236873	−	0.0410277i
$863$	24.4357	−	42.3239i	0.831801	−	1.44072i	−0.0648068	−	0.997898i	$-0.520643\pi$
$863$	24.4357	−	42.3239i	0.831801	−	1.44072i	0.896608	−	0.442825i	$-0.146024\pi$
$864$	2.50263	−	2.09996i	0.0851412	−	0.0714420i
$865$	−3.95167	+	3.31585i	−0.134361	+	0.112742i
$866$	16.6267	−	28.7984i	0.565000	−	0.978608i
$867$	4.33292	+	7.50483i	0.147154	+	0.254878i
$868$	37.4981	+	13.6482i	1.27277	+	0.463250i
$869$	15.5065	−	87.9417i	0.526022	−	2.98322i
$870$	0.363715	+	2.06273i	0.0123311	+	0.0699330i
$871$	30.6091	−	11.1408i	1.03715	−	0.377491i
$872$	−6.22780	−	5.22574i	−0.210900	−	0.176966i
$873$	16.2176			0.548882
$874$	10.5710	−	20.7323i	0.357568	−	0.701282i
$875$	−4.86419			−0.164440
$876$	−0.563551	−	0.472875i	−0.0190406	−	0.0159770i
$877$	27.7048	−	10.0837i	0.935524	−	0.340503i	0.171127	−	0.985249i	$-0.445259\pi$
$877$	27.7048	−	10.0837i	0.935524	−	0.340503i	0.764397	+	0.644746i	$0.223037\pi$
$878$	6.27110	+	35.5652i	0.211639	+	1.20027i
$879$	−0.259484	+	1.47161i	−0.00875218	+	0.0496361i
$880$	5.04528	+	1.83633i	0.170076	+	0.0619027i
$881$	20.8616	+	36.1334i	0.702846	+	1.21736i	0.967463	+	0.253011i	$0.0814209\pi$
$881$	20.8616	+	36.1334i	0.702846	+	1.21736i	−0.264618	+	0.964353i	$0.585246\pi$
$882$	−22.2228	+	38.4910i	−0.748280	+	1.29606i
$883$	4.53603	−	3.80618i	0.152650	−	0.128088i	−0.563264	−	0.826277i	$-0.690455\pi$
$883$	4.53603	−	3.80618i	0.152650	−	0.128088i	0.715914	+	0.698189i	$0.246010\pi$
$884$	−4.14287	+	3.47628i	−0.139340	+	0.116920i
$885$	2.11112	−	3.65657i	0.0709646	−	0.122914i
$886$	15.9938	+	27.7021i	0.537323	+	0.930672i
$887$	12.9931	+	4.72909i	0.436265	+	0.158787i	0.550810	−	0.834631i	$-0.314319\pi$
$887$	12.9931	+	4.72909i	0.436265	+	0.158787i	−0.114545	+	0.993418i	$0.536541\pi$
$888$	1.04691	−	5.93730i	0.0351319	−	0.199243i
$889$	0.117562	+	0.666726i	0.00394290	+	0.0223613i
$890$	9.02905	−	3.28630i	0.302654	−	0.110157i
$891$	−25.1718	−	21.1217i	−0.843288	−	0.707603i
$892$	−0.0994685			−0.00333045
$893$	−9.94983	+	9.27316i	−0.332958	+	0.310315i
$894$	1.66386			0.0556478
$895$	6.26909	+	5.26039i	0.209552	+	0.175835i
$896$	−4.57084	+	1.66365i	−0.152701	+	0.0555787i
$897$	−2.06122	−	11.6898i	−0.0688222	−	0.390310i
$898$	0.378957	−	2.14917i	0.0126459	−	0.0717187i
$899$	28.0129	+	10.1959i	0.934282	+	0.340051i
$900$	1.33388	+	2.31034i	0.0444625	+	0.0770113i
$901$	1.26189	−	2.18566i	0.0420397	−	0.0728149i
$902$	−7.84875	+	6.58588i	−0.261335	+	0.219286i
$903$	−3.17585	+	2.66485i	−0.105686	+	0.0886807i
$904$	−2.24105	+	3.88161i	−0.0745362	+	0.129100i
$905$	1.71618	+	2.97251i	0.0570478	+	0.0988096i
$906$	1.09307	+	0.397846i	0.0363149	+	0.0132175i
$907$	1.45100	−	8.22903i	0.0481797	−	0.273240i	−0.951195	−	0.308589i	$-0.900143\pi$
$907$	1.45100	−	8.22903i	0.0481797	−	0.273240i	0.999375	+	0.0353489i	$0.0112542\pi$
$908$	−2.40090	−	13.6162i	−0.0796767	−	0.451869i
$909$	3.14781	−	1.14571i	0.104406	−	0.0380008i
$910$	−14.3726	−	12.0600i	−0.476446	−	0.399786i
$911$	39.5762			1.31122			0.655609	−	0.755101i	$-0.272412\pi$
$911$	39.5762			1.31122			0.655609	+	0.755101i	$0.272412\pi$
$912$	1.83802	−	1.71302i	0.0608628	−	0.0567237i
$913$	−77.6420			−2.56958
$914$	28.4997	+	23.9141i	0.942685	+	0.791007i
$915$	−4.39551	+	1.59983i	−0.145311	+	0.0528889i
$916$	2.70460	+	15.3386i	0.0893626	+	0.506800i
$917$	−10.4992	+	59.5437i	−0.346713	+	1.96631i
$918$	−4.30433	−	1.56665i	−0.142064	−	0.0517071i
$919$	19.0623	+	33.0169i	0.628807	+	1.08913i	0.987791	+	0.155782i	$0.0497899\pi$
$919$	19.0623	+	33.0169i	0.628807	+	1.08913i	−0.358984	+	0.933344i	$0.616877\pi$
$920$	2.66945	−	4.62363i	0.0880093	−	0.152437i
$921$	−1.81995	+	1.52712i	−0.0599695	+	0.0503204i
$922$	3.73897	−	3.13737i	0.123136	−	0.103324i
$923$	11.6225	−	20.1307i	0.382559	−	0.662611i
$924$	−7.52682	−	13.0368i	−0.247614	−	0.428880i
$925$	9.82860	+	3.57732i	0.323162	+	0.117621i
$926$	3.51163	−	19.9154i	0.115399	−	0.654462i
$927$	−3.41279	−	19.3549i	−0.112091	−	0.635697i
$928$	−3.41464	+	1.24283i	−0.112091	+	0.0407977i
$929$	29.3240	+	24.6058i	0.962090	+	0.807289i	0.981292	−	0.192527i	$-0.0616682\pi$
$929$	29.3240	+	24.6058i	0.962090	+	0.807289i	−0.0192022	+	0.999816i	$0.506113\pi$
$930$	−4.72874			−0.155062
$931$	−32.9872	+	64.6962i	−1.08111	+	2.12033i
$932$	−15.2411			−0.499238
$933$	1.09641	+	0.919999i	0.0358949	+	0.0301194i
$934$	36.6598	−	13.3431i	1.19955	−	0.436599i
$935$	−1.30721	−	7.41357i	−0.0427504	−	0.242450i
$936$	−1.78684	+	10.1337i	−0.0584047	+	0.331230i
$937$	−1.77169	−	0.644843i	−0.0578787	−	0.0210661i	0.312919	−	0.949780i	$-0.398693\pi$
$937$	−1.77169	−	0.644843i	−0.0578787	−	0.0210661i	−0.370797	+	0.928714i	$0.620916\pi$
$938$	−20.5388	−	35.5742i	−0.670615	−	1.16154i
$939$	−1.55096	+	2.68635i	−0.0506138	+	0.0876656i
$940$	−2.39030	+	2.00570i	−0.0779629	+	0.0654187i
$941$	−11.3282	+	9.50548i	−0.369288	+	0.309870i	−0.808480	−	0.588524i	$-0.799709\pi$
$941$	−11.3282	+	9.50548i	−0.369288	+	0.309870i	0.439192	+	0.898393i	$0.355265\pi$
$942$	−3.18161	+	5.51072i	−0.103663	+	0.179549i
$943$	5.09413	+	8.82329i	0.165888	+	0.287326i
$944$	6.88331	+	2.50532i	0.224033	+	0.0815412i
$945$	2.75945	−	15.6496i	0.0897651	−	0.509083i
$946$	1.37858	+	7.81833i	0.0448216	+	0.254196i
$947$	5.33767	−	1.94275i	0.173451	−	0.0631310i	−0.253835	−	0.967248i	$-0.581692\pi$
$947$	5.33767	−	1.94275i	0.173451	−	0.0631310i	0.427286	+	0.904117i	$0.359470\pi$
$948$	−7.34396	−	6.16232i	−0.238521	−	0.200143i
$949$	4.92286			0.159803
$950$	2.37300	+	3.65634i	0.0769904	+	0.118627i
$951$	11.2200			0.363834
$952$	5.22446	+	4.38384i	0.169326	+	0.142081i
$953$	12.0998	−	4.40396i	0.391950	−	0.142658i	−0.138524	−	0.990359i	$-0.544236\pi$
$953$	12.0998	−	4.40396i	0.391950	−	0.142658i	0.530475	+	0.847701i	$0.322014\pi$
$954$	−0.833855	−	4.72902i	−0.0269970	−	0.153108i
$955$	0.655668	−	3.71848i	0.0212169	−	0.120327i
$956$	−15.8088	−	5.75392i	−0.511292	−	0.186095i
$957$	−5.62289	−	9.73913i	−0.181762	−	0.314821i
$958$	−15.5448	+	26.9244i	−0.502229	+	0.869886i
$959$	53.5885	−	44.9661i	1.73046	−	1.45203i
$960$	0.441556	−	0.370510i	0.0142512	−	0.0119581i
$961$	−18.1509	+	31.4384i	−0.585514	+	1.01414i
$962$	20.1719	+	34.9387i	0.650367	+	1.12647i
$963$	−21.8869	−	7.96618i	−0.705295	−	0.256706i
$964$	−1.58141	+	8.96862i	−0.0509338	+	0.288860i
$965$	2.11466	+	11.9929i	0.0680735	+	0.386064i
$966$	−14.0663	+	5.11972i	−0.452577	+	0.164724i
$967$	−37.3576	−	31.3467i	−1.20134	−	1.00804i	−0.999591	−	0.0286047i	$-0.990894\pi$
$967$	−37.3576	−	31.3467i	−1.20134	−	1.00804i	−0.201747	−	0.979438i	$-0.564662\pi$
$968$	−17.8269			−0.572979
$969$	−3.36856	−	1.03090i	−0.108214	−	0.0331174i
$970$	6.07912			0.195189
$971$	22.9752	+	19.2784i	0.737308	+	0.618675i	0.932113	−	0.362167i	$-0.117963\pi$
$971$	22.9752	+	19.2784i	0.737308	+	0.618675i	−0.194805	+	0.980842i	$0.562407\pi$
$972$	−12.5248	+	4.55864i	−0.401732	+	0.146218i
$973$	−15.0781	−	85.5120i	−0.483381	−	2.74139i
$974$	4.85765	−	27.5491i	0.155649	−	0.882730i
$975$	2.08924	+	0.760421i	0.0669092	+	0.0243530i
$976$	−4.05753	−	7.02784i	−0.129878	−	0.224956i
$977$	26.8514	−	46.5081i	0.859054	−	1.48792i	−0.0137792	−	0.999905i	$-0.504386\pi$
$977$	26.8514	−	46.5081i	0.859054	−	1.48792i	0.872833	−	0.488019i	$-0.162280\pi$
$978$	2.61785	−	2.19664i	0.0837096	−	0.0702407i
$979$	−39.5193	+	33.1606i	−1.26304	+	1.05982i
$980$	−8.33016	+	14.4283i	−0.266097	+	0.460894i
$981$	10.8442	+	18.7826i	0.346227	+	0.599683i
$982$	2.79400	+	1.01693i	0.0891600	+	0.0324516i
$983$	−10.0589	+	57.0469i	−0.320829	+	1.81951i	0.216665	+	0.976246i	$0.430482\pi$
$983$	−10.0589	+	57.0469i	−0.320829	+	1.81951i	−0.537495	+	0.843267i	$0.680629\pi$
$984$	0.191007	+	1.08326i	0.00608908	+	0.0345329i
$985$	−6.76801	+	2.46335i	−0.215647	+	0.0784890i
$986$	3.90292	+	3.27494i	0.124294	+	0.104295i
$987$	8.74864			0.278472
$988$	−2.05367	+	16.6872i	−0.0653360	+	0.530890i
$989$	7.89434			0.251025
$990$	−10.9723	−	9.20687i	−0.348723	−	0.292613i
$991$	6.56906	−	2.39094i	0.208673	−	0.0759508i	−0.235569	−	0.971858i	$-0.575695\pi$
$991$	6.56906	−	2.39094i	0.208673	−	0.0759508i	0.444242	+	0.895907i	$0.353473\pi$
$992$	−1.42457	−	8.07914i	−0.0452302	−	0.256513i
$993$	−1.87275	+	10.6209i	−0.0594301	+	0.337045i
$994$	−27.5458	−	10.0258i	−0.873698	−	0.318000i
$995$	−2.91855	−	5.05507i	−0.0925241	−	0.160256i
$996$	−4.16773	+	7.21872i	−0.132060	+	0.228734i
$997$	29.0837	−	24.4042i	0.921091	−	0.772887i	−0.0531052	−	0.998589i	$-0.516912\pi$
$997$	29.0837	−	24.4042i	0.921091	−	0.772887i	0.974196	+	0.225702i	$0.0724674\pi$
$998$	−14.1236	+	11.8511i	−0.447074	+	0.375140i
$999$	−17.0851	+	29.5923i	−0.540550	+	0.936260i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	190.2.k.d.111.2	yes	18
5.2	odd	4		950.2.u.g.149.5		36
5.3	odd	4		950.2.u.g.149.2		36
5.4	even	2		950.2.l.i.301.2		18
19.5	even	9		3610.2.a.bi.1.6		9
19.6	even	9	inner	190.2.k.d.101.2	✓	18
19.14	odd	18		3610.2.a.bj.1.4		9
95.44	even	18		950.2.l.i.101.2		18
95.63	odd	36		950.2.u.g.899.5		36
95.82	odd	36		950.2.u.g.899.2		36

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
190.2.k.d.101.2	✓	18	19.6	even	9	inner
190.2.k.d.111.2	yes	18	1.1	even	1	trivial
950.2.l.i.101.2		18	95.44	even	18
950.2.l.i.301.2		18	5.4	even	2
950.2.u.g.149.2		36	5.3	odd	4
950.2.u.g.149.5		36	5.2	odd	4
950.2.u.g.899.2		36	95.82	odd	36
950.2.u.g.899.5		36	95.63	odd	36
3610.2.a.bi.1.6		9	19.5	even	9
3610.2.a.bj.1.4		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)

\(f(q)\)	\(=\)	\(q+(-0.766044 - 0.642788i) q^{2} +(-0.541649 + 0.197144i) q^{3} +(0.173648 + 0.984808i) q^{4} +(0.173648 - 0.984808i) q^{5} +(0.541649 + 0.197144i) q^{6} +(2.43209 + 4.21251i) q^{7} +(0.500000 - 0.866025i) q^{8} +(-2.04362 + 1.71480i) q^{9} +O(q^{10})\)	\(q+(-0.766044 - 0.642788i) q^{2} +(-0.541649 + 0.197144i) q^{3} +(0.173648 + 0.984808i) q^{4} +(0.173648 - 0.984808i) q^{5} +(0.541649 + 0.197144i) q^{6} +(2.43209 + 4.21251i) q^{7} +(0.500000 - 0.866025i) q^{8} +(-2.04362 + 1.71480i) q^{9} +(-0.766044 + 0.642788i) q^{10} +(2.68454 - 4.64975i) q^{11} +(-0.288205 - 0.499186i) q^{12} +(3.62457 + 1.31923i) q^{13} +(0.844657 - 4.79029i) q^{14} +(0.100093 + 0.567654i) q^{15} +(-0.939693 + 0.342020i) q^{16} +(1.07407 + 0.901248i) q^{17} +2.66775 q^{18} +(4.35299 - 0.226908i) q^{19} +1.00000 q^{20} +(-2.14781 - 1.80223i) q^{21} +(-5.04528 + 1.83633i) q^{22} +(0.927092 + 5.25780i) q^{23} +(-0.100093 + 0.567654i) q^{24} +(-0.939693 - 0.342020i) q^{25} +(-1.92859 - 3.34042i) q^{26} +(1.63348 - 2.82926i) q^{27} +(-3.72618 + 3.12664i) q^{28} +(-2.78364 + 2.33575i) q^{29} +(0.288205 - 0.499186i) q^{30} +(-4.10189 - 7.10468i) q^{31} +(0.939693 + 0.342020i) q^{32} +(-0.537405 + 3.04777i) q^{33} +(-0.243471 - 1.38079i) q^{34} +(4.57084 - 1.66365i) q^{35} +(-2.04362 - 1.71480i) q^{36} -10.4594 q^{37} +(-3.48044 - 2.62423i) q^{38} -2.22332 q^{39} +(-0.766044 - 0.642788i) q^{40} +(1.79322 - 0.652678i) q^{41} +(0.486869 + 2.76117i) q^{42} +(0.256764 - 1.45618i) q^{43} +(5.04528 + 1.83633i) q^{44} +(1.33388 + 2.31034i) q^{45} +(2.66945 - 4.62363i) q^{46} +(-2.39030 + 2.00570i) q^{47} +(0.441556 - 0.370510i) q^{48} +(-8.33016 + 14.4283i) q^{49} +(0.500000 + 0.866025i) q^{50} +(-0.759442 - 0.276414i) q^{51} +(-0.669793 + 3.79858i) q^{52} +(-0.312568 - 1.77266i) q^{53} +(-3.06993 + 1.11736i) q^{54} +(-4.11295 - 3.45117i) q^{55} +4.86419 q^{56} +(-2.31306 + 0.981070i) q^{57} +3.63378 q^{58} +(-5.61133 - 4.70846i) q^{59} +(-0.541649 + 0.197144i) q^{60} +(1.40916 + 7.99176i) q^{61} +(-1.42457 + 8.07914i) q^{62} +(-12.1939 - 4.43820i) q^{63} +(-0.500000 - 0.866025i) q^{64} +(1.92859 - 3.34042i) q^{65} +(2.37075 - 1.98929i) q^{66} +(6.46916 - 5.42827i) q^{67} +(-0.701047 + 1.21425i) q^{68} +(-1.53870 - 2.66511i) q^{69} +(-4.57084 - 1.66365i) q^{70} +(1.04647 - 5.93485i) q^{71} +(0.463250 + 2.62722i) q^{72} +(1.19931 - 0.436515i) q^{73} +(8.01234 + 6.72316i) q^{74} +0.576411 q^{75} +(0.979350 + 4.24746i) q^{76} +26.1162 q^{77} +(1.70316 + 1.42912i) q^{78} +(15.6290 - 5.68848i) q^{79} +(0.173648 + 0.984808i) q^{80} +(1.06275 - 6.02717i) q^{81} +(-1.79322 - 0.652678i) q^{82} +(-7.23049 - 12.5236i) q^{83} +(1.40188 - 2.42814i) q^{84} +(1.07407 - 0.901248i) q^{85} +(-1.13271 + 0.950453i) q^{86} +(1.04727 - 1.81393i) q^{87} +(-2.68454 - 4.64975i) q^{88} +(-9.02905 - 3.28630i) q^{89} +(0.463250 - 2.62722i) q^{90} +(3.25800 + 18.4770i) q^{91} +(-5.01693 + 1.82601i) q^{92} +(3.62243 + 3.03958i) q^{93} +3.12031 q^{94} +(0.532428 - 4.32626i) q^{95} -0.576411 q^{96} +(-4.65687 - 3.90758i) q^{97} +(15.6556 - 5.69817i) q^{98} +(2.48722 + 14.1057i) 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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