LMFDB - Embedded newform 189.2.ba.a.5.12

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [189,2,Mod(5,189)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(189, base_ring=CyclotomicField(18))

chi = DirichletCharacter(H, H._module([5, 15]))

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

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

chi := DirichletCharacter("189.5");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 189 = 3^{3} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	189.ba (of order $18$, degree $6$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$1.50917259820$
Analytic rank:	$0$
Dimension:	$132$
Relative dimension:	$22$ over $\Q(\zeta_{18})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label			5.12
Character	$\chi$	$=$	189.5
Dual form			189.2.ba.a.38.12

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	\(q+(0.284285 - 0.0501271i) q^{2} +(1.43787 + 0.965670i) q^{3} +(-1.80108 + 0.655540i) q^{4} +(-0.499509 + 2.83286i) q^{5} +(0.457172 + 0.202449i) q^{6} +(0.989753 - 2.45365i) q^{7} +(-0.979151 + 0.565313i) q^{8} +(1.13496 + 2.77702i) q^{9} +0.830377i q^{10} +(2.61285 - 0.460715i) q^{11} +(-3.22276 - 0.796666i) q^{12} +(-4.11463 + 4.90363i) q^{13} +(0.158378 - 0.747148i) q^{14} +(-3.45384 + 3.59093i) q^{15} +(2.68649 - 2.25423i) q^{16} +2.47492 q^{17} +(0.461857 + 0.732573i) q^{18} -4.65971i q^{19} +(-0.957395 - 5.42965i) q^{20} +(3.79255 - 2.57226i) q^{21} +(0.719698 - 0.261949i) q^{22} +(5.08246 - 6.05704i) q^{23} +(-1.95380 - 0.132688i) q^{24} +(-3.07712 - 1.11998i) q^{25} +(-0.923922 + 1.60028i) q^{26} +(-1.04975 + 5.08901i) q^{27} +(-0.174161 + 5.06804i) q^{28} +(-0.285491 - 0.340235i) q^{29} +(-0.801870 + 1.19398i) q^{30} +(-2.04142 - 5.60874i) q^{31} +(2.10423 - 2.50773i) q^{32} +(4.20184 + 1.86070i) q^{33} +(0.703581 - 0.124060i) q^{34} +(6.45645 + 4.02945i) q^{35} +(-3.86461 - 4.25763i) q^{36} +(-1.80657 - 3.12907i) q^{37} +(-0.233578 - 1.32469i) q^{38} +(-10.6516 + 3.07742i) q^{39} +(-1.11236 - 3.05618i) q^{40} +(5.96872 + 5.00835i) q^{41} +(0.949225 - 0.921364i) q^{42} +(-2.51543 - 0.915543i) q^{43} +(-4.40393 + 2.54261i) q^{44} +(-8.43384 + 1.82804i) q^{45} +(1.14124 - 1.97669i) q^{46} +(0.418068 + 0.152164i) q^{47} +(6.03967 - 0.647039i) q^{48} +(-5.04078 - 4.85701i) q^{49} +(-0.930918 - 0.164146i) q^{50} +(3.55862 + 2.38995i) q^{51} +(4.19626 - 11.5291i) q^{52} +(-2.28728 + 1.32056i) q^{53} +(-0.0433320 + 1.49935i) q^{54} +7.63196i q^{55} +(0.417961 + 2.96201i) q^{56} +(4.49975 - 6.70008i) q^{57} +(-0.0982156 - 0.0824127i) q^{58} +(4.11304 + 3.45125i) q^{59} +(3.86664 - 8.73169i) q^{60} +(-1.27720 + 3.50909i) q^{61} +(-0.861493 - 1.49215i) q^{62} +(7.93717 - 0.0362321i) q^{63} +(-3.03446 + 5.25585i) q^{64} +(-11.8360 - 14.1056i) q^{65} +(1.28779 + 0.318342i) q^{66} +(0.361168 - 2.04828i) q^{67} +(-4.45752 + 1.62241i) q^{68} +(13.1570 - 3.80128i) q^{69} +(2.03745 + 0.821869i) q^{70} +(-12.0809 - 6.97492i) q^{71} +(-2.68119 - 2.07752i) q^{72} +(1.49574 + 0.863568i) q^{73} +(-0.670431 - 0.798988i) q^{74} +(-3.34298 - 4.58187i) q^{75} +(3.05463 + 8.39252i) q^{76} +(1.45564 - 6.86700i) q^{77} +(-2.87383 + 1.40880i) q^{78} +(0.786549 + 4.46074i) q^{79} +(5.04399 + 8.73645i) q^{80} +(-6.42372 + 6.30364i) q^{81} +(1.94787 + 1.12460i) q^{82} +(-11.7399 + 9.85096i) q^{83} +(-5.14448 + 7.11902i) q^{84} +(-1.23624 + 7.01109i) q^{85} +(-0.760992 - 0.134183i) q^{86} +(-0.0819453 - 0.764904i) q^{87} +(-2.29792 + 1.92819i) q^{88} +11.6407 q^{89} +(-2.30598 + 0.942448i) q^{90} +(7.95930 + 14.9492i) q^{91} +(-5.18329 + 14.2410i) q^{92} +(2.48090 - 10.0360i) q^{93} +(0.126478 + 0.0223015i) q^{94} +(13.2003 + 2.32757i) q^{95} +(5.44726 - 1.57380i) q^{96} +(2.49357 - 6.85103i) q^{97} +(-1.67648 - 1.12809i) q^{98} +(4.24490 + 6.73304i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 132 q - 3 q^{2} - 9 q^{3} - 3 q^{4} - 9 q^{5} - 18 q^{6} - 6 q^{7} - 18 q^{8} + 3 q^{9} - 9 q^{11} - 9 q^{12} + 3 q^{14} - 24 q^{15} + 3 q^{16} - 18 q^{17} - 3 q^{18} + 18 q^{20} - 21 q^{21} - 12 q^{22}+ \cdots + 96 q^{99}+O(q^{100}) $ 132 * q - 3 * q^2 - 9 * q^3 - 3 * q^4 - 9 * q^5 - 18 * q^6 - 6 * q^7 - 18 * q^8 + 3 * q^9 - 9 * q^11 - 9 * q^12 + 3 * q^14 - 24 * q^15 + 3 * q^16 - 18 * q^17 - 3 * q^18 + 18 * q^20 - 21 * q^21 - 12 * q^22 - 6 * q^23 - 9 * q^24 - 3 * q^25 - 12 * q^28 + 6 * q^29 + 51 * q^30 - 9 * q^31 + 3 * q^32 - 9 * q^33 - 18 * q^34 + 18 * q^35 + 3 * q^37 - 99 * q^38 - 36 * q^39 - 54 * q^40 - 45 * q^42 - 12 * q^43 - 9 * q^44 - 9 * q^45 + 3 * q^46 + 45 * q^47 - 24 * q^49 - 9 * q^50 - 48 * q^51 - 9 * q^52 - 45 * q^53 + 171 * q^54 + 3 * q^56 - 3 * q^58 + 36 * q^59 + 57 * q^60 - 9 * q^61 - 99 * q^62 - 33 * q^63 + 18 * q^64 + 69 * q^65 - 9 * q^66 - 3 * q^67 + 36 * q^68 + 108 * q^69 + 66 * q^70 + 18 * q^71 - 129 * q^72 - 9 * q^73 + 75 * q^74 + 36 * q^75 + 36 * q^76 + 15 * q^77 + 66 * q^78 - 21 * q^79 + 72 * q^80 - 33 * q^81 - 18 * q^82 - 90 * q^83 - 120 * q^84 + 9 * q^85 - 105 * q^86 - 54 * q^87 - 63 * q^88 - 18 * q^89 + 81 * q^90 + 6 * q^91 + 150 * q^92 + 21 * q^93 - 9 * q^94 + 45 * q^95 - 81 * q^96 + 27 * q^98 + 96 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/189\mathbb{Z}\right)^\times$.

$n$	$29$	$136$
$\chi(n)$	$e\left(\frac{5}{18}\right)$	$e\left(\frac{5}{6}\right)$

Coefficient data

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

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

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

$2$	0.284285	−	0.0501271i	0.201020	−	0.0354452i	−0.0722316	−	0.997388i	$-0.523012\pi$
$2$	0.284285	−	0.0501271i	0.201020	−	0.0354452i	0.273251	+	0.961943i	$0.411901\pi$
$3$	1.43787	+	0.965670i	0.830157	+	0.557530i
$3$	1.43787	+	0.965670i	0.830157	+	0.557530i
$4$	−1.80108	+	0.655540i	−0.900540	+	0.327770i
$5$	−0.499509	+	2.83286i	−0.223387	+	1.26689i	0.642357	+	0.766406i	$0.277957\pi$
$5$	−0.499509	+	2.83286i	−0.223387	+	1.26689i	−0.865744	+	0.500487i	$0.833154\pi$
$6$	0.457172	+	0.202449i	0.186640	+	0.0826494i
$7$	0.989753	−	2.45365i	0.374092	−	0.927392i
$7$	0.989753	−	2.45365i	0.374092	−	0.927392i
$8$	−0.979151	+	0.565313i	−0.346182	+	0.199868i
$9$	1.13496	+	2.77702i	0.378321	+	0.925674i
$10$			0.830377i			0.262588i
$11$	2.61285	−	0.460715i	0.787803	−	0.138911i	0.234748	−	0.972056i	$-0.424573\pi$
$11$	2.61285	−	0.460715i	0.787803	−	0.138911i	0.553054	+	0.833145i	$0.313462\pi$
$12$	−3.22276	−	0.796666i	−0.930331	−	0.229978i
$13$	−4.11463	+	4.90363i	−1.14119	+	1.36002i	−0.217879	+	0.975976i	$0.569914\pi$
$13$	−4.11463	+	4.90363i	−1.14119	+	1.36002i	−0.923314	+	0.384046i	$0.874531\pi$
$14$	0.158378	−	0.747148i	0.0423282	−	0.199684i
$15$	−3.45384	+	3.59093i	−0.891777	+	0.927175i
$16$	2.68649	−	2.25423i	0.671622	−	0.563558i
$17$	2.47492			0.600255			0.300128	−	0.953899i	$-0.402971\pi$
$17$	2.47492			0.600255			0.300128	+	0.953899i	$0.402971\pi$
$18$	0.461857	+	0.732573i	0.108861	+	0.172669i
$19$		−	4.65971i		−	1.06901i	−0.845165	−	0.534506i	$-0.820498\pi$
$19$		−	4.65971i		−	1.06901i	0.845165	−	0.534506i	$-0.179502\pi$
$20$	−0.957395	−	5.42965i	−0.214080	−	1.21411i
$21$	3.79255	−	2.57226i	0.827603	−	0.561314i
$22$	0.719698	−	0.261949i	0.153440	−	0.0558476i
$23$	5.08246	−	6.05704i	1.05977	−	1.26298i	0.0962431	−	0.995358i	$-0.469317\pi$
$23$	5.08246	−	6.05704i	1.05977	−	1.26298i	0.963524	−	0.267623i	$-0.0862382\pi$
$24$	−1.95380	−	0.132688i	−0.398818	−	0.0270848i
$25$	−3.07712	−	1.11998i	−0.615423	−	0.223996i
$26$	−0.923922	+	1.60028i	−0.181196	+	0.313841i
$27$	−1.04975	+	5.08901i	−0.202025	+	0.979380i
$28$	−0.174161	+	5.06804i	−0.0329134	+	0.957769i
$29$	−0.285491	−	0.340235i	−0.0530143	−	0.0631800i	0.738886	−	0.673831i	$-0.235352\pi$
$29$	−0.285491	−	0.340235i	−0.0530143	−	0.0631800i	−0.791900	+	0.610651i	$0.790908\pi$
$30$	−0.801870	+	1.19398i	−0.146401	+	0.217990i
$31$	−2.04142	−	5.60874i	−0.366649	−	1.00736i	−0.976627	−	0.214942i	$-0.931044\pi$
$31$	−2.04142	−	5.60874i	−0.366649	−	1.00736i	0.609978	−	0.792419i	$-0.291178\pi$
$32$	2.10423	−	2.50773i	0.371980	−	0.443308i
$33$	4.20184	+	1.86070i	0.731447	+	0.323906i
$34$	0.703581	−	0.124060i	0.120663	−	0.0212762i
$35$	6.45645	+	4.02945i	1.09134	+	0.681102i
$36$	−3.86461	−	4.25763i	−0.644101	−	0.709605i
$37$	−1.80657	−	3.12907i	−0.296998	−	0.514416i	0.678450	−	0.734647i	$-0.262652\pi$
$37$	−1.80657	−	3.12907i	−0.296998	−	0.514416i	−0.975448	+	0.220231i	$0.929319\pi$
$38$	−0.233578	−	1.32469i	−0.0378913	−	0.214892i
$39$	−10.6516	+	3.07742i	−1.70562	+	0.492782i
$40$	−1.11236	−	3.05618i	−0.175879	−	0.483224i
$41$	5.96872	+	5.00835i	0.932158	+	0.782173i	0.976204	−	0.216856i	$-0.0695803\pi$
$41$	5.96872	+	5.00835i	0.932158	+	0.782173i	−0.0440458	+	0.999030i	$0.514025\pi$
$42$	0.949225	−	0.921364i	0.146469	−	0.142170i
$43$	−2.51543	−	0.915543i	−0.383600	−	0.139619i	0.143020	−	0.989720i	$-0.454319\pi$
$43$	−2.51543	−	0.915543i	−0.383600	−	0.139619i	−0.526620	+	0.850101i	$0.676541\pi$
$44$	−4.40393	+	2.54261i	−0.663917	+	0.383313i
$45$	−8.43384	+	1.82804i	−1.25724	+	0.272508i
$46$	1.14124	−	1.97669i	0.168267	−	0.291448i
$47$	0.418068	+	0.152164i	0.0609815	+	0.0221954i	0.372331	−	0.928100i	$-0.378559\pi$
$47$	0.418068	+	0.152164i	0.0609815	+	0.0221954i	−0.311349	+	0.950296i	$0.600781\pi$
$48$	6.03967	−	0.647039i	0.871752	−	0.0933921i
$49$	−5.04078	−	4.85701i	−0.720111	−	0.693859i
$50$	−0.930918	−	0.164146i	−0.131652	−	0.0232138i
$51$	3.55862	+	2.38995i	0.498306	+	0.334660i
$52$	4.19626	−	11.5291i	0.581917	−	1.59880i
$53$	−2.28728	+	1.32056i	−0.314183	+	0.181393i	−0.648797	−	0.760962i	$-0.724727\pi$
$53$	−2.28728	+	1.32056i	−0.314183	+	0.181393i	0.334614	+	0.942355i	$0.391394\pi$
$54$	−0.0433320	+	1.49935i	−0.00589674	+	0.204035i
$55$			7.63196i			1.02909i
$56$	0.417961	+	2.96201i	0.0558524	+	0.395815i
$57$	4.49975	−	6.70008i	0.596006	−	0.887447i
$58$	−0.0982156	−	0.0824127i	−0.0128963	−	0.0108213i
$59$	4.11304	+	3.45125i	0.535472	+	0.449314i	0.869986	−	0.493077i	$-0.164128\pi$
$59$	4.11304	+	3.45125i	0.535472	+	0.449314i	−0.334514	+	0.942391i	$0.608572\pi$
$60$	3.86664	−	8.73169i	0.499181	−	1.12726i
$61$	−1.27720	+	3.50909i	−0.163529	+	0.449293i	−0.994210	−	0.107456i	$-0.965729\pi$
$61$	−1.27720	+	3.50909i	−0.163529	+	0.449293i	0.830680	+	0.556749i	$0.187952\pi$
$62$	−0.861493	−	1.49215i	−0.109410	−	0.189503i
$63$	7.93717	−	0.0362321i	0.999990	−	0.00456481i
$64$	−3.03446	+	5.25585i	−0.379308	+	0.656981i
$65$	−11.8360	−	14.1056i	−1.46807	−	1.74958i
$66$	1.28779	+	0.318342i	0.158516	+	0.0391851i
$67$	0.361168	−	2.04828i	0.0441237	−	0.250238i	−0.954765	−	0.297360i	$-0.903894\pi$
$67$	0.361168	−	2.04828i	0.0441237	−	0.250238i	0.998889	+	0.0471221i	$0.0150050\pi$
$68$	−4.45752	+	1.62241i	−0.540554	+	0.196746i
$69$	13.1570	−	3.80128i	1.58392	−	0.457621i
$70$	2.03745	+	0.821869i	0.243522	+	0.0982321i
$71$	−12.0809	−	6.97492i	−1.43374	−	0.827771i	−0.436338	−	0.899783i	$-0.643725\pi$
$71$	−12.0809	−	6.97492i	−1.43374	−	0.827771i	−0.997404	+	0.0720121i	$0.977058\pi$
$72$	−2.68119	−	2.07752i	−0.315981	−	0.244838i
$73$	1.49574	+	0.863568i	0.175064	+	0.101073i	0.584971	−	0.811054i	$-0.301106\pi$
$73$	1.49574	+	0.863568i	0.175064	+	0.101073i	−0.409908	+	0.912127i	$0.634439\pi$
$74$	−0.670431	−	0.798988i	−0.0779360	−	0.0928805i
$75$	−3.34298	−	4.58187i	−0.386014	−	0.529068i
$76$	3.05463	+	8.39252i	0.350390	+	0.962688i
$77$	1.45564	−	6.86700i	0.165886	−	0.782567i
$78$	−2.87383	+	1.40880i	−0.325397	+	0.159515i
$79$	0.786549	+	4.46074i	0.0884937	+	0.501872i	0.996548	+	0.0830199i	$0.0264565\pi$
$79$	0.786549	+	4.46074i	0.0884937	+	0.501872i	−0.908054	+	0.418853i	$0.862432\pi$
$80$	5.04399	+	8.73645i	0.563935	+	0.976765i
$81$	−6.42372	+	6.30364i	−0.713746	+	0.700404i
$82$	1.94787	+	1.12460i	0.215106	+	0.124192i
$83$	−11.7399	+	9.85096i	−1.28862	+	1.08128i	−0.296629	+	0.954993i	$0.595863\pi$
$83$	−11.7399	+	9.85096i	−1.28862	+	1.08128i	−0.991993	+	0.126290i	$0.959693\pi$
$84$	−5.14448	+	7.11902i	−0.561308	+	0.776749i
$85$	−1.23624	+	7.01109i	−0.134089	+	0.760459i
$86$	−0.760992	−	0.134183i	−0.0820599	−	0.0144694i
$87$	−0.0819453	−	0.764904i	−0.00878546	−	0.0820063i
$88$	−2.29792	+	1.92819i	−0.244959	+	0.205545i
$89$	11.6407			1.23391			0.616956	−	0.786998i	$-0.288366\pi$
$89$	11.6407			1.23391			0.616956	+	0.786998i	$0.288366\pi$
$90$	−2.30598	+	0.942448i	−0.243071	+	0.0993427i
$91$	7.95930	+	14.9492i	0.834362	+	1.56711i
$92$	−5.18329	+	14.2410i	−0.540396	+	1.48472i
$93$	2.48090	−	10.0360i	0.257257	−	1.04068i
$94$	0.126478	+	0.0223015i	0.0130452	+	0.00230022i
$95$	13.2003	+	2.32757i	1.35432	+	0.238804i
$96$	5.44726	−	1.57380i	0.555959	−	0.160625i
$97$	2.49357	−	6.85103i	0.253184	−	0.695617i	−0.746364	−	0.665538i	$-0.768202\pi$
$97$	2.49357	−	6.85103i	0.253184	−	0.695617i	0.999548	−	0.0300786i	$-0.00957575\pi$
$98$	−1.67648	−	1.12809i	−0.169350	−	0.113955i
$99$	4.24490	+	6.73304i	0.426629	+	0.676696i
$100$	6.27632			0.627632
$101$	−2.57671	+	2.16212i	−0.256393	+	0.215139i	−0.761919	−	0.647672i	$-0.775743\pi$
$101$	−2.57671	+	2.16212i	−0.256393	+	0.215139i	0.505527	+	0.862811i	$0.331298\pi$
$102$	1.13146	+	0.501044i	0.112031	+	0.0496107i
$103$	4.90650	+	0.865149i	0.483452	+	0.0852456i	0.410062	−	0.912058i	$-0.365507\pi$
$103$	4.90650	+	0.865149i	0.483452	+	0.0852456i	0.0733901	+	0.997303i	$0.476618\pi$
$104$	1.25676	−	7.12744i	0.123236	−	0.698903i
$105$	5.39244	+	12.0286i	0.526248	+	1.17388i
$106$	−0.584044	+	0.490071i	−0.0567274	+	0.0475999i
$107$	3.28484	+	1.89651i	0.317558	+	0.183342i	0.650303	−	0.759675i	$-0.274642\pi$
$107$	3.28484	+	1.89651i	0.317558	+	0.183342i	−0.332746	+	0.943017i	$0.607975\pi$
$108$	−1.44536	−	9.85387i	−0.139079	−	0.948189i
$109$	−3.99786	−	6.92450i	−0.382926	−	0.663247i	0.608553	−	0.793513i	$-0.291750\pi$
$109$	−3.99786	−	6.92450i	−0.382926	−	0.663247i	−0.991479	+	0.130266i	$0.958417\pi$
$110$	0.382568	+	2.16965i	0.0364764	+	0.206868i
$111$	0.424029	−	6.24375i	0.0402471	−	0.592631i
$112$	−2.87213	−	8.82283i	−0.271391	−	0.833679i
$113$	1.59010	+	4.36878i	0.149584	+	0.410980i	0.991742	−	0.128252i	$-0.0409367\pi$
$113$	1.59010	+	4.36878i	0.149584	+	0.410980i	−0.842157	+	0.539232i	$0.818715\pi$
$114$	0.943353	−	2.13029i	0.0883531	−	0.199520i
$115$	14.6200	+	17.4235i	1.36332	+	1.62475i
$116$	0.737229	+	0.425639i	0.0684500	+	0.0395196i
$117$	−18.2874	−	5.86099i	−1.69067	−	0.541849i
$118$	1.34227	+	0.774962i	0.123566	+	0.0713411i
$119$	2.44956	−	6.07257i	0.224550	−	0.556672i
$120$	1.35183	−	5.46856i	0.123404	−	0.499209i
$121$	−3.72191	+	1.35467i	−0.338356	+	0.123151i
$122$	−0.187189	+	1.06160i	−0.0169473	+	0.0961131i
$123$	3.74585	+	12.9652i	0.337752	+	1.16903i
$124$	7.35351	+	8.76357i	0.660365	+	0.786992i
$125$	−2.48161	+	4.29827i	−0.221962	+	0.384449i
$126$	2.25460	−	0.408167i	0.200856	−	0.0363624i
$127$	1.55254	+	2.68908i	0.137766	+	0.238618i	0.926651	−	0.375924i	$-0.122674\pi$
$127$	1.55254	+	2.68908i	0.137766	+	0.238618i	−0.788885	+	0.614541i	$0.789341\pi$
$128$	−2.83847	+	7.79863i	−0.250888	+	0.689308i
$129$	−2.73276	−	3.74551i	−0.240606	−	0.329774i
$130$	−4.07186	−	3.41670i	−0.357126	−	0.299664i
$131$	−15.9864	−	13.4142i	−1.39674	−	1.17201i	−0.962524	−	0.271198i	$-0.912580\pi$
$131$	−15.9864	−	13.4142i	−1.39674	−	1.17201i	−0.434218	−	0.900808i	$-0.642975\pi$
$132$	−8.78761	−	0.596790i	−0.764864	−	0.0519439i
$133$	−11.4333	−	4.61197i	−0.991393	−	0.399908i
$134$		−	0.600400i		−	0.0518667i
$135$	−13.8921	−	5.51581i	−1.19564	−	0.474726i
$136$	−2.42332	+	1.39910i	−0.207798	+	0.119972i
$137$	6.77762	−	18.6213i	0.579051	−	1.59093i	−0.210733	−	0.977544i	$-0.567585\pi$
$137$	6.77762	−	18.6213i	0.579051	−	1.59093i	0.789784	−	0.613385i	$-0.210193\pi$
$138$	3.54980	−	1.74017i	0.302179	−	0.148133i
$139$	5.16629	+	0.910956i	0.438199	+	0.0772663i	0.388395	−	0.921493i	$-0.373029\pi$
$139$	5.16629	+	0.910956i	0.438199	+	0.0772663i	0.0498033	+	0.998759i	$0.484141\pi$
$140$	−14.2700	−	3.02491i	−1.20604	−	0.255651i
$141$	0.454189	+	0.622509i	0.0382496	+	0.0524247i
$142$	−3.78405	−	1.37728i	−0.317551	−	0.115579i
$143$	−8.49172	+	14.7081i	−0.710114	+	1.22995i
$144$	9.30912	+	4.90197i	0.775760	+	0.408498i
$145$	1.10644	−	0.638805i	0.0918850	−	0.0530498i
$146$	0.468505	+	0.170522i	0.0387738	+	0.0141125i
$147$	−2.55773	−	11.8515i	−0.210958	−	0.977495i
$148$	5.30500	+	4.45142i	0.436068	+	0.365905i
$149$	3.71385	+	10.2037i	0.304250	+	0.835921i	0.993749	+	0.111634i	$0.0356084\pi$
$149$	3.71385	+	10.2037i	0.304250	+	0.835921i	−0.689499	+	0.724286i	$0.742169\pi$
$150$	−1.18003	−	1.13498i	−0.0963492	−	0.0926708i
$151$	−3.09120	−	17.5310i	−0.251558	−	1.42666i	−0.804756	−	0.593606i	$-0.797704\pi$
$151$	−3.09120	−	17.5310i	−0.251558	−	1.42666i	0.553197	−	0.833050i	$-0.313407\pi$
$152$	2.63420	+	4.56256i	0.213662	+	0.370073i
$153$	2.80894	+	6.87290i	0.227089	+	0.555641i
$154$	0.0695936	−	2.02515i	0.00560801	−	0.163191i
$155$	16.9085	−	2.98142i	1.35812	−	0.239474i
$156$	17.1670	−	12.5252i	1.37446	−	1.00282i
$157$	2.54045	−	3.02759i	0.202750	−	0.241628i	−0.655083	−	0.755557i	$-0.727366\pi$
$157$	2.54045	−	3.02759i	0.202750	−	0.241628i	0.857832	+	0.513929i	$0.171811\pi$
$158$	0.447208	+	1.22869i	0.0355779	+	0.0977495i
$159$	−4.56406	−	0.309957i	−0.361953	−	0.0245812i
$160$	6.05296	+	7.21363i	0.478528	+	0.570288i
$161$	−9.83147	−	18.4656i	−0.774828	−	1.45529i
$162$	−1.51018	+	2.11403i	−0.118651	+	0.166094i
$163$	3.81207	−	6.60270i	0.298585	−	0.517164i	−0.677228	−	0.735773i	$-0.736819\pi$
$163$	3.81207	−	6.60270i	0.298585	−	0.517164i	0.975812	+	0.218610i	$0.0701522\pi$
$164$	−14.0333	−	5.10771i	−1.09582	−	0.398845i
$165$	−7.36995	+	10.9738i	−0.573750	+	0.854308i
$166$	−2.84368	+	3.38896i	−0.220712	+	0.263035i
$167$	−17.9253	+	6.52426i	−1.38710	+	0.504862i	−0.924322	−	0.381613i	$-0.875369\pi$
$167$	−17.9253	+	6.52426i	−1.38710	+	0.504862i	−0.462775	+	0.886476i	$0.653146\pi$
$168$	−2.25935	+	4.66261i	−0.174313	+	0.359728i
$169$	−4.85794	−	27.5507i	−0.373688	−	2.11929i
$170$			2.05511i			0.157620i
$171$	12.9401	−	5.28860i	0.989557	−	0.404430i
$172$	5.13067			0.391210
$173$	−1.26918	+	1.06497i	−0.0964941	+	0.0809682i	−0.689759	−	0.724039i	$-0.742283\pi$
$173$	−1.26918	+	1.06497i	−0.0964941	+	0.0809682i	0.593264	+	0.805008i	$0.297839\pi$
$174$	−0.0616382	−	0.213343i	−0.00467278	−	0.0161735i
$175$	−5.79362	+	6.44166i	−0.437956	+	0.486944i
$176$	5.98082	−	7.12766i	0.450821	−	0.537268i
$177$	2.58126	+	8.93429i	0.194020	+	0.671543i
$178$	3.30927	−	0.583514i	0.248040	−	0.0437362i
$179$			6.01171i			0.449337i	0.974435	+	0.224668i	$0.0721298\pi$
$179$			6.01171i			0.449337i	−0.974435	+	0.224668i	$0.927870\pi$
$180$	13.9917	−	8.82116i	1.04288	−	0.657491i
$181$	−4.20460	+	2.42753i	−0.312525	+	0.180437i	−0.648056	−	0.761593i	$-0.724418\pi$
$181$	−4.20460	+	2.42753i	−0.312525	+	0.180437i	0.335531	+	0.942029i	$0.391084\pi$
$182$	3.01207	+	3.85086i	0.223269	+	0.285445i
$183$	−5.22508	+	3.81227i	−0.386249	+	0.281811i
$184$	−1.55237	+	8.80394i	−0.114442	+	0.649035i
$185$	9.76660	−	3.55475i	0.718055	−	0.261351i
$186$	0.202206	−	2.97744i	0.0148264	−	0.218317i
$187$	6.46657	−	1.14023i	0.472883	−	0.0833820i
$188$	−0.852724			−0.0621913
$189$	11.4476	+	7.61259i	0.832693	+	0.553734i
$190$	3.86932			0.280710
$191$	9.70443	−	1.71115i	0.702188	−	0.123815i	0.188856	−	0.982005i	$-0.439522\pi$
$191$	9.70443	−	1.71115i	0.702188	−	0.123815i	0.513332	+	0.858190i	$0.328411\pi$
$192$	−9.43859	+	4.62695i	−0.681172	+	0.333922i
$193$	−11.3944	+	4.14722i	−0.820187	+	0.298524i	−0.717825	−	0.696224i	$-0.754862\pi$
$193$	−11.3944	+	4.14722i	−0.820187	+	0.298524i	−0.102362	+	0.994747i	$0.532640\pi$
$194$	0.365462	−	2.07264i	0.0262387	−	0.148807i
$195$	−3.39732	−	31.7117i	−0.243287	−	2.27092i
$196$	12.2628	+	5.44344i	0.875915	+	0.388817i
$197$	−15.2644	+	8.81291i	−1.08754	+	0.627894i	−0.932922	−	0.360079i	$-0.882750\pi$
$197$	−15.2644	+	8.81291i	−1.08754	+	0.627894i	−0.154623	+	0.987974i	$0.549416\pi$
$198$	1.54427	+	1.70132i	0.109746	+	0.120907i
$199$		−	15.6797i		−	1.11151i	−0.831347	−	0.555754i	$-0.812430\pi$
$199$		−	15.6797i		−	1.11151i	0.831347	−	0.555754i	$-0.187570\pi$
$200$	3.64610	−	0.642906i	0.257818	−	0.0454603i
$201$	2.49728	−	2.59641i	0.176145	−	0.183136i
$202$	−0.624139	+	0.743820i	−0.0439143	+	0.0523350i
$203$	−1.11738	+	0.363745i	−0.0784248	+	0.0255299i
$204$	−7.97606	−	1.97168i	−0.558436	−	0.138045i
$205$	−17.1694	+	14.4068i	−1.19916	+	1.00622i
$206$	1.43821			0.100205
$207$	22.5890	+	7.23960i	1.57004	+	0.503187i
$208$			22.4489i			1.55655i
$209$	−2.14680	−	12.1751i	−0.148497	−	0.842170i
$210$	2.13595	+	3.14925i	0.147394	+	0.217319i
$211$	3.12171	−	1.13621i	0.214907	−	0.0782198i	−0.232323	−	0.972639i	$-0.574633\pi$
$211$	3.12171	−	1.13621i	0.214907	−	0.0782198i	0.447230	+	0.894419i	$0.352410\pi$
$212$	3.25390	−	3.87785i	0.223479	−	0.266332i
$213$	−10.6354	−	21.6952i	−0.728723	−	1.48653i
$214$	1.02890	+	0.374488i	0.0703339	+	0.0255995i
$215$	3.85009	−	6.66854i	0.262574	−	0.454791i
$216$	−1.84902	−	5.57635i	−0.125810	−	0.379422i
$217$	−15.7824	−	0.542356i	−1.07138	−	0.0368175i
$218$	−1.48364	−	1.76813i	−0.100484	−	0.119753i
$219$	1.31677	+	2.68610i	0.0889791	+	0.181510i
$220$	−5.00305	−	13.7458i	−0.337305	−	0.926739i
$221$	−10.1834	+	12.1361i	−0.685007	+	0.816360i
$222$	−0.192436	−	1.79626i	−0.0129155	−	0.120557i
$223$	5.47895	−	0.966086i	0.366897	−	0.0646939i	0.0128399	−	0.999918i	$-0.495913\pi$
$223$	5.47895	−	0.966086i	0.366897	−	0.0646939i	0.354057	+	0.935224i	$0.384802\pi$
$224$	−4.07041	−	7.64508i	−0.271966	−	0.510809i
$225$	−0.382206	−	9.81636i	−0.0254804	−	0.654424i
$226$	0.671036	+	1.16227i	0.0446367	+	0.0773130i
$227$	2.18551	+	12.3946i	0.145057	+	0.822660i	0.967321	+	0.253554i	$0.0815996\pi$
$227$	2.18551	+	12.3946i	0.145057	+	0.822660i	−0.822264	+	0.569106i	$0.807289\pi$
$228$	−3.71223	+	15.0171i	−0.245849	+	0.994535i
$229$	−2.64176	−	7.25817i	−0.174572	−	0.479633i	0.821290	−	0.570511i	$-0.193255\pi$
$229$	−2.64176	−	7.25817i	−0.174572	−	0.479633i	−0.995862	+	0.0908781i	$0.971033\pi$
$230$	5.02963	+	4.22036i	0.331644	+	0.278282i
$231$	8.72428	−	8.46821i	0.574016	−	0.557167i
$232$	0.471877	+	0.171749i	0.0309803	+	0.0112759i
$233$	2.38185	−	1.37516i	0.156040	−	0.0900897i	−0.419947	−	0.907549i	$-0.637951\pi$
$233$	2.38185	−	1.37516i	0.156040	−	0.0900897i	0.575987	+	0.817459i	$0.304618\pi$
$234$	−5.49263	−	0.749495i	−0.359065	−	0.0489960i
$235$	−0.639889	+	1.10832i	−0.0417418	+	0.0722988i
$236$	−9.67034	−	3.51971i	−0.629485	−	0.229114i
$237$	−3.17664	+	7.17353i	−0.206345	+	0.465971i
$238$	0.391971	−	1.84913i	0.0254077	−	0.119861i
$239$	9.44308	+	1.66507i	0.610822	+	0.107704i	0.470498	−	0.882401i	$-0.344074\pi$
$239$	9.44308	+	1.66507i	0.610822	+	0.107704i	0.140324	+	0.990106i	$0.455185\pi$
$240$	−1.18390	+	17.4327i	−0.0764206	+	1.12528i
$241$	0.524067	−	1.43986i	0.0337581	−	0.0927497i	−0.921669	−	0.387978i	$-0.873174\pi$
$241$	0.524067	−	1.43986i	0.0337581	−	0.0927497i	0.955427	+	0.295229i	$0.0953958\pi$
$242$	−0.990178	+	0.571679i	−0.0636510	+	0.0367489i
$243$	−15.3237	+	2.86065i	−0.983018	+	0.183510i
$244$		−	7.15741i		−	0.458206i
$245$	16.2771	−	11.8537i	1.03991	−	0.757304i
$246$	1.71480	+	3.49804i	0.109331	+	0.223027i
$247$	22.8495	+	19.1730i	1.45388	+	1.21995i
$248$	5.16955	+	4.33777i	0.328267	+	0.275449i
$249$	−26.3933	+	2.82755i	−1.67261	+	0.179189i
$250$	−0.490024	+	1.34633i	−0.0309918	+	0.0851494i
$251$	−11.2902	−	19.5553i	−0.712634	−	1.23432i	−0.963865	−	0.266391i	$-0.914169\pi$
$251$	−11.2902	−	19.5553i	−0.712634	−	1.23432i	0.251231	−	0.967927i	$-0.419165\pi$
$252$	−14.2717	+	5.26839i	−0.899034	+	0.331877i
$253$	10.4891	−	18.1677i	0.659445	−	1.14219i
$254$	0.576160	+	0.686641i	0.0361515	+	0.0430837i
$255$	−8.54796	+	8.88726i	−0.535294	+	0.556542i
$256$	1.69171	−	9.59414i	0.105732	−	0.599634i
$257$	4.33157	−	1.57656i	0.270196	−	0.0983433i	−0.203369	−	0.979102i	$-0.565189\pi$
$257$	4.33157	−	1.57656i	0.270196	−	0.0983433i	0.473565	+	0.880759i	$0.342967\pi$
$258$	−0.964634	−	0.927806i	−0.0600555	−	0.0577627i
$259$	−9.46569	+	1.33568i	−0.588169	+	0.0829950i
$260$	30.5643	+	17.6463i	1.89552	+	1.09438i
$261$	0.620818	−	1.17897i	0.0384277	−	0.0729763i
$262$	−5.21712	−	3.01210i	−0.322315	−	0.186088i
$263$	2.33928	+	2.78784i	0.144246	+	0.171906i	0.833330	−	0.552776i	$-0.186431\pi$
$263$	2.33928	+	2.78784i	0.144246	+	0.171906i	−0.689084	+	0.724681i	$0.741987\pi$
$264$	−5.16611	+	0.553453i	−0.317952	+	0.0340627i
$265$	−2.59845	−	7.13919i	−0.159622	−	0.438557i
$266$	−3.48150	−	0.737994i	−0.213464	−	0.0452493i
$267$	16.7379	+	11.2411i	1.02434	+	0.687943i
$268$	0.692240	+	3.92589i	0.0422853	+	0.239812i
$269$	5.41440	+	9.37801i	0.330122	+	0.571788i	0.982535	−	0.186075i	$-0.0595769\pi$
$269$	5.41440	+	9.37801i	0.330122	+	0.571788i	−0.652414	+	0.757863i	$0.726244\pi$
$270$	−4.22580	−	0.871692i	−0.257174	−	0.0530495i
$271$	−7.73136	−	4.46370i	−0.469647	−	0.271151i	0.246445	−	0.969157i	$-0.420738\pi$
$271$	−7.73136	−	4.46370i	−0.469647	−	0.271151i	−0.716092	+	0.698006i	$0.754071\pi$
$272$	6.64883	−	5.57903i	0.403145	−	0.338279i
$273$	−2.99155	+	29.1812i	−0.181057	+	1.76613i
$274$	0.993339	−	5.63351i	0.0600098	−	0.340333i
$275$	−8.55602	−	1.50866i	−0.515948	−	0.0909755i
$276$	−21.2050	+	15.4714i	−1.27639	+	0.931268i
$277$	−15.2023	+	12.7563i	−0.913419	+	0.766449i	−0.972766	−	0.231788i	$-0.925542\pi$
$277$	−15.2023	+	12.7563i	−0.913419	+	0.766449i	0.0593476	+	0.998237i	$0.481098\pi$
$278$	1.51436			0.0908253
$279$	13.2587	−	12.0348i	0.793777	−	0.720503i
$280$	−8.59974	−	0.295527i	−0.513933	−	0.0176611i
$281$	5.24675	−	14.4153i	0.312995	−	0.859947i	−0.679053	−	0.734089i	$-0.737609\pi$
$281$	5.24675	−	14.4153i	0.312995	−	0.859947i	0.992048	−	0.125858i	$-0.0401683\pi$
$282$	0.160323	+	0.154203i	0.00954712	+	0.00918263i
$283$	17.2740	+	3.04587i	1.02683	+	0.181058i	0.661599	−	0.749858i	$-0.269878\pi$
$283$	17.2740	+	3.04587i	1.02683	+	0.181058i	0.365233	+	0.930916i	$0.380989\pi$
$284$	26.3310	+	4.64287i	1.56246	+	0.275504i
$285$	16.7327	+	16.0939i	0.991161	+	0.953320i
$286$	−1.67679	+	4.60695i	−0.0991509	+	0.272415i
$287$	18.1963	−	9.68811i	1.07409	−	0.571871i
$288$	9.35225	+	2.99733i	0.551087	+	0.176619i
$289$	−10.8748			−0.639694
$290$	0.282523	−	0.237065i	0.0165903	−	0.0139209i
$291$	10.2013	−	7.44295i	0.598009	−	0.436314i
$292$	−3.26006	−	0.574836i	−0.190781	−	0.0336398i
$293$	0.0433429	−	0.245810i	0.00253212	−	0.0143604i	−0.983516	−	0.180824i	$-0.942124\pi$
$293$	0.0433429	−	0.245810i	0.00253212	−	0.0143604i	0.986048	+	0.166463i	$0.0532348\pi$
$294$	−1.32120	−	3.24099i	−0.0770542	−	0.189018i
$295$	−11.8314	+	9.92772i	−0.688851	+	0.578014i
$296$	3.53780	+	2.04255i	0.205631	+	0.118721i
$297$	−0.398262	+	13.7804i	−0.0231095	+	0.799622i
$298$	1.56727	+	2.71459i	0.0907896	+	0.157252i
$299$	8.78902	+	49.8450i	0.508282	+	2.88261i
$300$	9.02456	+	6.06086i	0.521033	+	0.349924i
$301$	−4.73608	+	5.26582i	−0.272983	+	0.303517i
$302$	−1.75756	−	4.82886i	−0.101136	−	0.277869i
$303$	−5.79288	+	0.620600i	−0.332792	+	0.0356525i
$304$	−10.5041	−	12.5183i	−0.602450	−	0.717972i
$305$	−9.30278	−	5.37097i	−0.532676	−	0.307541i
$306$	1.14306	+	1.81306i	0.0653442	+	0.103646i
$307$	3.87598	+	2.23780i	0.221214	+	0.127718i	0.606512	−	0.795074i	$-0.292568\pi$
$307$	3.87598	+	2.23780i	0.221214	+	0.127718i	−0.385298	+	0.922792i	$0.625902\pi$
$308$	1.87987	+	13.3222i	0.107115	+	0.759105i
$309$	6.21948	+	5.98204i	0.353814	+	0.340306i
$310$	4.65737	−	1.69515i	0.264521	−	0.0962778i
$311$	−3.09532	+	17.5544i	−0.175519	+	0.995419i	0.762024	+	0.647549i	$0.224206\pi$
$311$	−3.09532	+	17.5544i	−0.175519	+	0.995419i	−0.937543	+	0.347870i	$0.886905\pi$
$312$	8.68982	−	9.03475i	0.491964	−	0.511492i
$313$	15.4221	+	18.3794i	0.871710	+	1.03886i	0.998896	+	0.0469848i	$0.0149612\pi$
$313$	15.4221	+	18.3794i	0.871710	+	1.03886i	−0.127185	+	0.991879i	$0.540594\pi$
$314$	0.570446	−	0.988042i	0.0321921	−	0.0557584i
$315$	−3.86205	+	22.5030i	−0.217602	+	1.26790i
$316$	−4.34083	−	7.51854i	−0.244191	−	0.422951i
$317$	−7.09204	+	19.4852i	−0.398329	+	1.09440i	0.564770	+	0.825249i	$0.308965\pi$
$317$	−7.09204	+	19.4852i	−0.398329	+	1.09440i	−0.963098	+	0.269150i	$0.913257\pi$
$318$	−1.31303	+	0.140667i	−0.0736310	+	0.00788820i
$319$	−0.902695	−	0.757451i	−0.0505412	−	0.0424091i
$320$	−13.3733	−	11.2216i	−0.747592	−	0.627304i
$321$	2.89179	+	5.89901i	0.161404	+	0.329251i
$322$	−3.72056	−	4.75665i	−0.207339	−	0.265078i
$323$		−	11.5324i		−	0.641680i
$324$	7.43735	−	15.5644i	0.413186	−	0.864687i
$325$	18.1532	−	10.4807i	1.00696	−	0.581366i
$326$	0.752740	−	2.06814i	0.0416904	−	0.114543i
$327$	0.938360	−	13.8172i	0.0518914	−	0.764091i
$328$	−8.67557	−	1.52974i	−0.479028	−	0.0844656i
$329$	0.787142	−	0.875187i	0.0433965	−	0.0482506i
$330$	−1.54508	+	3.48911i	−0.0850539	+	0.192069i
$331$	−27.7217	−	10.0899i	−1.52372	−	0.554590i	−0.561649	−	0.827375i	$-0.689833\pi$
$331$	−27.7217	−	10.0899i	−1.52372	−	0.554590i	−0.962075	+	0.272785i	$0.912055\pi$
$332$	14.6868	−	25.4383i	0.806045	−	1.39611i
$333$	6.63911	−	8.56826i	0.363821	−	0.469538i
$334$	−4.76883	+	2.75329i	−0.260939	+	0.150653i
$335$	5.62210	+	2.04628i	0.307168	+	0.111800i
$336$	4.39018	−	15.4596i	0.239504	−	0.843393i
$337$	12.0127	+	10.0799i	0.654375	+	0.549086i	0.908395	−	0.418113i	$-0.137308\pi$
$337$	12.0127	+	10.0799i	0.654375	+	0.549086i	−0.254020	+	0.967199i	$0.581753\pi$
$338$	−2.76207	−	7.58874i	−0.150237	−	0.412773i
$339$	−1.93243	+	7.81727i	−0.104955	+	0.424576i
$340$	−2.36947	−	13.4379i	−0.128503	−	0.728774i
$341$	−7.91794	−	13.7143i	−0.428781	−	0.742670i
$342$	3.41358	−	2.15212i	0.184585	−	0.116373i
$343$	−16.9065	+	7.56105i	−0.912866	+	0.408258i
$344$	2.98056	−	0.525552i	0.160701	−	0.0283359i
$345$	4.19643	+	39.1708i	0.225928	+	2.10889i
$346$	−0.307425	+	0.366375i	−0.0165273	+	0.0196965i
$347$	1.66317	+	4.56953i	0.0892838	+	0.245305i	0.976296	−	0.216442i	$-0.0694451\pi$
$347$	1.66317	+	4.56953i	0.0892838	+	0.245305i	−0.887012	+	0.461747i	$0.847223\pi$
$348$	0.649015	+	1.32394i	0.0347909	+	0.0709704i
$349$	−9.42487	−	11.2321i	−0.504502	−	0.601242i	0.452342	−	0.891845i	$-0.350589\pi$
$349$	−9.42487	−	11.2321i	−0.504502	−	0.601242i	−0.956844	+	0.290603i	$0.906144\pi$
$350$	−1.32414	+	2.12168i	−0.0707780	+	0.113409i
$351$	−20.6353	−	26.0870i	−1.10143	−	1.39242i
$352$	4.34269	−	7.52176i	0.231466	−	0.400911i
$353$	5.63074	+	2.04942i	0.299694	+	0.109080i	0.487491	−	0.873128i	$-0.337912\pi$
$353$	5.63074	+	2.04942i	0.299694	+	0.109080i	−0.187797	+	0.982208i	$0.560135\pi$
$354$	1.18166	+	2.41049i	0.0628047	+	0.128116i
$355$	25.7935	−	30.7395i	1.36898	−	1.63148i
$356$	−20.9658	+	7.63094i	−1.11119	+	0.404439i
$357$	9.38625	−	6.36613i	0.496773	−	0.336931i
$358$	0.301349	+	1.70904i	0.0159268	+	0.0903255i
$359$		−	1.82006i		−	0.0960588i	−0.998846	−	0.0480294i	$-0.984706\pi$
$359$		−	1.82006i		−	0.0960588i	0.998846	−	0.0480294i	$-0.0152941\pi$
$360$	7.22459	−	6.55769i	0.380769	−	0.345620i
$361$	−2.71293			−0.142786
$362$	−1.07362	+	0.900872i	−0.0564281	+	0.0473488i
$363$	−6.65980	−	1.64630i	−0.349549	−	0.0864084i
$364$	−24.1352	−	21.7071i	−1.26503	−	1.13776i
$365$	−3.19351	+	3.80587i	−0.167156	+	0.199208i
$366$	−1.29431	+	1.34569i	−0.0676548	+	0.0703403i
$367$	−26.7758	+	4.72129i	−1.39768	+	0.246450i	−0.821192	−	0.570653i	$-0.806690\pi$
$367$	−26.7758	+	4.72129i	−1.39768	+	0.246450i	−0.576493	+	0.817102i	$0.695579\pi$
$368$		−	27.7292i		−	1.44549i
$369$	−7.13403	+	22.2596i	−0.371383	+	1.15879i
$370$	2.59831	−	1.50013i	0.135080	−	0.0779882i
$371$	0.976353	+	6.91922i	0.0506897	+	0.359228i
$372$	2.11070	+	19.7020i	0.109435	+	1.02150i
$373$	1.76316	−	9.99937i	0.0912929	−	0.517748i	−0.904528	−	0.426415i	$-0.859776\pi$
$373$	1.76316	−	9.99937i	0.0912929	−	0.517748i	0.995820	−	0.0913325i	$-0.0291126\pi$
$374$	1.78119	−	0.648301i	0.0921032	−	0.0335228i
$375$	−7.71896	+	3.78396i	−0.398605	+	0.195403i
$376$	−0.495372	+	0.0873475i	−0.0255469	+	0.00450460i
$377$	2.84307			0.146426
$378$	3.63599	+	1.59031i	0.187015	+	0.0817965i
$379$	12.0300			0.617937			0.308969	−	0.951072i	$-0.400016\pi$
$379$	12.0300			0.617937			0.308969	+	0.951072i	$0.400016\pi$
$380$	−25.3006	+	4.46118i	−1.29790	+	0.228854i
$381$	−0.364406	+	5.36581i	−0.0186691	+	0.274899i
$382$	2.67304	−	0.972909i	0.136765	−	0.0497783i
$383$	−3.03110	+	17.1902i	−0.154882	+	0.878380i	0.804011	+	0.594614i	$0.202695\pi$
$383$	−3.03110	+	17.1902i	−0.154882	+	0.878380i	−0.958893	+	0.283766i	$0.908416\pi$
$384$	−11.6123	+	8.47243i	−0.592586	+	0.432357i
$385$	18.7261	+	7.55375i	0.954372	+	0.384975i
$386$	−3.03136	+	1.75016i	−0.154292	+	0.0890808i
$387$	−0.312440	−	8.02452i	−0.0158822	−	0.407909i
$388$			13.9739i			0.709417i
$389$	36.6560	−	6.46344i	1.85853	−	0.327709i	0.871774	−	0.489908i	$-0.162970\pi$
$389$	36.6560	−	6.46344i	1.85853	−	0.327709i	0.986758	+	0.162198i	$0.0518584\pi$
$390$	−2.55542	−	8.84485i	−0.129399	−	0.447877i
$391$	12.5787	−	14.9907i	0.636131	−	0.758111i
$392$	7.68141	+	1.90613i	0.387970	+	0.0962741i
$393$	−10.0328	−	34.7256i	−0.506087	−	1.75167i
$394$	−3.89767	+	3.27054i	−0.196362	+	0.164767i
$395$	−13.0295			−0.655587
$396$	−12.0592	−	9.34404i	−0.605997	−	0.469556i
$397$		−	25.0865i		−	1.25906i	−0.776977	−	0.629529i	$-0.783248\pi$
$397$		−	25.0865i		−	1.25906i	0.776977	−	0.629529i	$-0.216752\pi$
$398$	−0.785979	−	4.45751i	−0.0393976	−	0.223435i
$399$	−11.9860	−	17.6722i	−0.600051	−	0.884718i
$400$	−10.7913	+	3.92772i	−0.539566	+	0.196386i
$401$	15.7151	−	18.7286i	0.784777	−	0.935260i	−0.214362	−	0.976754i	$-0.568767\pi$
$401$	15.7151	−	18.7286i	0.784777	−	0.935260i	0.999139	+	0.0414939i	$0.0132117\pi$
$402$	0.579789	−	0.863300i	0.0289172	−	0.0430575i
$403$	35.9029	+	13.0676i	1.78845	+	0.650942i
$404$	3.22351	−	5.58329i	0.160376	−	0.277779i
$405$	−14.6486	−	21.3462i	−0.727895	−	1.06070i
$406$	−0.299421	+	0.159418i	−0.0148600	+	0.00791180i
$407$	−6.16189	−	7.34346i	−0.305434	−	0.364002i
$408$	−4.83549	−	0.328391i	−0.239393	−	0.0162578i
$409$	11.6774	+	32.0835i	0.577412	+	1.58643i	0.792526	+	0.609838i	$0.208766\pi$
$409$	11.6774	+	32.0835i	0.577412	+	1.58643i	−0.215113	+	0.976589i	$0.569012\pi$
$410$	−4.15882	+	4.95629i	−0.205390	+	0.244774i
$411$	27.7274	−	20.2302i	1.36769	−	0.997883i
$412$	−9.40414	+	1.65820i	−0.463309	+	0.0816939i
$413$	12.5390	−	6.67606i	0.617006	−	0.328507i
$414$	6.78460	+	0.925789i	0.333445	+	0.0455000i
$415$	−22.0422	−	38.1782i	−1.08201	−	1.87409i
$416$	3.63882	+	20.6368i	0.178408	+	1.01180i
$417$	6.54879	+	6.29877i	0.320695	+	0.308452i
$418$	−1.22061	−	3.35359i	−0.0597018	−	0.164029i
$419$	−9.48775	−	7.96117i	−0.463507	−	0.388929i	0.380912	−	0.924611i	$-0.375610\pi$
$419$	−9.48775	−	7.96117i	−0.463507	−	0.388929i	−0.844419	+	0.535682i	$0.820054\pi$
$420$	−17.5975	−	18.1296i	−0.858668	−	0.884633i
$421$	23.5715	+	8.57934i	1.14881	+	0.418132i	0.845086	−	0.534630i	$-0.179549\pi$
$421$	23.5715	+	8.57934i	1.14881	+	0.418132i	0.303720	+	0.952761i	$0.401771\pi$
$422$	0.830499	−	0.479489i	0.0404281	−	0.0233412i
$423$	0.0519279	+	1.33369i	0.00252482	+	0.0648460i
$424$	1.49306	−	2.58606i	0.0725096	−	0.125590i
$425$	−7.61560	−	2.77185i	−0.369411	−	0.134455i
$426$	−4.11099	−	5.63450i	−0.199178	−	0.272993i
$427$	7.34596	+	6.60695i	0.355496	+	0.319732i
$428$	−7.15950	−	1.26241i	−0.346067	−	0.0610210i
$429$	−26.4132	+	12.9482i	−1.27524	+	0.625144i
$430$	0.760246	−	2.08876i	0.0366623	−	0.100729i
$431$	−11.6318	+	6.71561i	−0.560283	+	0.323479i	−0.753259	−	0.657724i	$-0.771519\pi$
$431$	−11.6318	+	6.71561i	−0.560283	+	0.323479i	0.192976	+	0.981203i	$0.438186\pi$
$432$	8.65165	+	16.0380i	0.416253	+	0.771626i
$433$			26.7899i			1.28744i	0.765261	+	0.643720i	$0.222610\pi$
$433$			26.7899i			1.28744i	−0.765261	+	0.643720i	$0.777390\pi$
$434$	−4.51388	+	0.636941i	−0.216673	+	0.0305741i
$435$	2.20780	+	0.149937i	0.105856	+	0.00718894i
$436$	11.7398	+	9.85082i	0.562232	+	0.471769i
$437$	−28.2241	−	23.6828i	−1.35014	−	1.13290i
$438$	0.508984	+	0.697611i	0.0243202	+	0.0333331i
$439$	1.51839	−	4.17174i	0.0724688	−	0.199106i	−0.898170	−	0.439649i	$-0.855103\pi$
$439$	1.51839	−	4.17174i	0.0724688	−	0.199106i	0.970639	+	0.240542i	$0.0773252\pi$
$440$	−4.31444	−	7.47284i	−0.205683	−	0.356253i
$441$	7.76694	−	19.5109i	0.369854	−	0.929090i
$442$	−2.28663	+	3.96056i	−0.108764	+	0.188385i
$443$	−14.8474	−	17.6944i	−0.705420	−	0.840687i	0.287708	−	0.957718i	$-0.407107\pi$
$443$	−14.8474	−	17.6944i	−0.705420	−	0.840687i	−0.993128	+	0.117031i	$0.962662\pi$
$444$	3.32932	+	11.5235i	0.158002	+	0.546880i
$445$	−5.81464	+	32.9765i	−0.275640	+	1.56323i
$446$	1.50915	−	0.549287i	0.0714605	−	0.0260095i
$447$	−4.51337	+	18.2580i	−0.213475	+	0.863574i
$448$	9.89263	+	12.6475i	0.467383	+	0.597538i
$449$	8.28201	+	4.78162i	0.390852	+	0.225659i	0.682529	−	0.730858i	$-0.260880\pi$
$449$	8.28201	+	4.78162i	0.390852	+	0.225659i	−0.291677	+	0.956517i	$0.594213\pi$
$450$	−0.600721	−	2.77148i	−0.0283182	−	0.130649i
$451$	17.9028	+	10.3362i	0.843009	+	0.486711i
$452$	−5.72781	−	6.82614i	−0.269414	−	0.321075i
$453$	12.4845	−	28.1925i	0.586571	−	1.32460i
$454$	1.24261	+	3.41405i	0.0583187	+	0.160229i
$455$	−46.3248	+	15.0803i	−2.17174	+	0.706975i
$456$	−0.618287	+	9.10415i	−0.0289539	+	0.426341i
$457$	6.32868	+	35.8917i	0.296043	+	1.67894i	0.662932	+	0.748679i	$0.269312\pi$
$457$	6.32868	+	35.8917i	0.296043	+	1.67894i	−0.366889	+	0.930265i	$0.619577\pi$
$458$	−1.11484	−	1.93096i	−0.0520931	−	0.0902279i
$459$	−2.59805	+	12.5949i	−0.121267	+	0.587878i
$460$	−37.7536	−	21.7970i	−1.76027	−	1.01629i
$461$	25.6345	−	21.5099i	1.19392	−	1.00182i	0.194137	−	0.980974i	$-0.437809\pi$
$461$	25.6345	−	21.5099i	1.19392	−	1.00182i	0.999783	−	0.0208432i	$-0.00663506\pi$
$462$	2.05569	−	2.84471i	0.0956395	−	0.132348i
$463$	−2.24659	+	12.7410i	−0.104408	+	0.592126i	0.887047	+	0.461678i	$0.152753\pi$
$463$	−2.24659	+	12.7410i	−0.104408	+	0.592126i	−0.991455	+	0.130448i	$0.958359\pi$
$464$	−1.53393	−	0.270474i	−0.0712111	−	0.0125564i
$465$	27.1913	+	12.0411i	1.26097	+	0.558393i
$466$	0.608190	−	0.510332i	0.0281738	−	0.0236407i
$467$	13.9472			0.645399			0.322699	−	0.946502i	$-0.395410\pi$
$467$	13.9472			0.645399			0.322699	+	0.946502i	$0.395410\pi$
$468$	36.7793	−	1.43202i	1.70012	−	0.0661953i
$469$	−4.66830	−	2.91348i	−0.215562	−	0.134532i
$470$	−0.126354	+	0.347154i	−0.00582827	+	0.0160130i
$471$	6.57649	−	1.90005i	0.303029	−	0.0875499i
$472$	−5.97832	−	1.05414i	−0.275174	−	0.0485207i
$473$	−6.99424	−	1.23327i	−0.321596	−	0.0567060i
$474$	−0.543484	+	2.19856i	−0.0249630	+	0.100983i
$475$	−5.21878	+	14.3385i	−0.239454	+	0.657895i
$476$	−0.431035	+	12.5430i	−0.0197565	+	0.574906i
$477$	−6.26322	−	4.85305i	−0.286773	−	0.222206i
$478$	2.76799			0.126605
$479$	8.98168	−	7.53652i	0.410383	−	0.344352i	−0.414107	−	0.910228i	$-0.635906\pi$
$479$	8.98168	−	7.53652i	0.410383	−	0.344352i	0.824491	+	0.565876i	$0.191462\pi$
$480$	1.73740	+	16.2175i	0.0793011	+	0.740222i
$481$	22.7771	+	4.01622i	1.03855	+	0.183124i
$482$	0.0768082	−	0.435601i	0.00349852	−	0.0198411i
$483$	3.69522	−	36.0451i	0.168138	−	1.64011i
$484$	5.81543	−	4.87972i	0.264338	−	0.221806i
$485$	18.1624	+	10.4861i	0.824714	+	0.476149i
$486$	−4.21291	+	1.58137i	−0.191101	+	0.0717325i
$487$	6.97325	+	12.0780i	0.315988	+	0.547308i	0.979647	−	0.200728i	$-0.0643307\pi$
$487$	6.97325	+	12.0780i	0.315988	+	0.547308i	−0.663659	+	0.748035i	$0.730997\pi$
$488$	−0.733159	−	4.15795i	−0.0331885	−	0.188222i
$489$	11.8573	−	5.81265i	0.536206	−	0.262857i
$490$	4.03315	−	4.18575i	0.182199	−	0.189093i
$491$	3.99625	+	10.9796i	0.180348	+	0.495503i	0.996619	−	0.0821674i	$-0.0261842\pi$
$491$	3.99625	+	10.9796i	0.180348	+	0.495503i	−0.816270	+	0.577670i	$0.803962\pi$
$492$	−15.2458	−	20.8958i	−0.687333	−	0.942055i
$493$	−0.706566	−	0.842052i	−0.0318221	−	0.0379241i
$494$	7.45685	+	4.30521i	0.335500	+	0.193701i
$495$	−21.1941	+	8.66199i	−0.952605	+	0.389327i
$496$	−18.1276	−	10.4660i	−0.813955	−	0.469937i
$497$	−29.0711	+	22.7389i	−1.30402	+	1.01998i
$498$	−7.36147	+	2.12685i	−0.329875	+	0.0953063i
$499$	31.7223	−	11.5460i	1.42008	−	0.516868i	0.486011	−	0.873952i	$-0.338451\pi$
$499$	31.7223	−	11.5460i	1.42008	−	0.516868i	0.934072	+	0.357084i	$0.116229\pi$
$500$	1.65189	−	9.36833i	0.0738747	−	0.418965i
$501$	−32.0745	−	7.92882i	−1.43298	−	0.354233i
$502$	−4.18989	−	4.99332i	−0.187004	−	0.222863i
$503$	−17.9602	+	31.1080i	−0.800807	+	1.38704i	0.118279	+	0.992980i	$0.462262\pi$
$503$	−17.9602	+	31.1080i	−0.800807	+	1.38704i	−0.919086	+	0.394058i	$0.871071\pi$
$504$	−7.75121	+	4.52246i	−0.345266	+	0.201446i
$505$	−4.83789	−	8.37946i	−0.215283	−	0.372881i
$506$	2.07120	−	5.69059i	0.0920762	−	0.252977i
$507$	19.6198	−	44.3056i	0.871347	−	1.96768i
$508$	−4.55906	−	3.82550i	−0.202275	−	0.169729i
$509$	15.2676	+	12.8110i	0.676724	+	0.567839i	0.915047	−	0.403347i	$-0.132153\pi$
$509$	15.2676	+	12.8110i	0.676724	+	0.567839i	−0.238323	+	0.971186i	$0.576598\pi$
$510$	−1.98456	+	2.95500i	−0.0878779	+	0.130849i
$511$	3.59931	−	2.81531i	0.159224	−	0.124542i
$512$		−	19.4105i		−	0.857833i
$513$	23.7133	+	4.89155i	1.04697	+	0.215967i
$514$	1.15237	−	0.665322i	0.0508289	−	0.0293461i
$515$	−4.90169	+	13.4673i	−0.215994	+	0.593439i
$516$	7.37726	+	4.95453i	0.324766	+	0.218111i
$517$	1.16245	+	0.204972i	0.0511246	+	0.00901464i
$518$	−2.62400	+	0.854200i	−0.115292	+	0.0375314i
$519$	−2.85333	+	0.305682i	−0.125247	+	0.0134180i
$520$	19.5633	+	7.12045i	0.857907	+	0.312252i
$521$	1.03640	−	1.79510i	0.0454056	−	0.0786448i	−0.842429	−	0.538807i	$-0.818875\pi$
$521$	1.03640	−	1.79510i	0.0454056	−	0.0786448i	0.887835	+	0.460162i	$0.152209\pi$
$522$	0.117391	−	0.366282i	0.00513806	−	0.0160317i
$523$	−31.2489	+	18.0416i	−1.36642	+	0.788902i	−0.990469	−	0.137738i	$-0.956017\pi$
$523$	−31.2489	+	18.0416i	−1.36642	+	0.788902i	−0.375950	+	0.926640i	$0.622683\pi$
$524$	37.5864	+	13.6803i	1.64197	+	0.597628i
$525$	−14.5510	+	3.66757i	−0.635058	+	0.160066i
$526$	0.804767	+	0.675280i	0.0350895	+	0.0294436i
$527$	−5.05233	−	13.8812i	−0.220083	−	0.604673i
$528$	15.4826	−	4.47318i	0.673795	−	0.194670i
$529$	−6.86244	−	38.9188i	−0.298367	−	1.69212i
$530$	−1.09657	−	1.89931i	−0.0476318	−	0.0825007i
$531$	−4.91605	+	15.3390i	−0.213338	+	0.665657i
$532$	23.6156	+	0.811542i	1.02387	+	0.0351848i
$533$	−49.1182	+	8.66086i	−2.12754	+	0.375144i
$534$	5.32180	+	2.35665i	0.230297	+	0.101982i
$535$	−7.01334	+	8.35817i	−0.303213	+	0.361355i
$536$	0.804284	+	2.20975i	0.0347398	+	0.0954468i
$537$	−5.80533	+	8.64409i	−0.250518	+	0.373020i
$538$	2.00932	+	2.39462i	0.0866281	+	0.103239i
$539$	−15.4085	−	10.3683i	−0.663690	−	0.446593i
$540$	28.6366	+	0.827613i	1.23232	+	0.0356148i
$541$	10.8625	−	18.8144i	0.467015	−	0.808893i	−0.532275	−	0.846571i	$-0.678663\pi$
$541$	10.8625	−	18.8144i	0.467015	−	0.808893i	0.999290	+	0.0376783i	$0.0119962\pi$
$542$	−2.42166	−	0.881412i	−0.104019	−	0.0378599i
$543$	−8.38987	−	0.569778i	−0.360044	−	0.0244515i
$544$	5.20780	−	6.20642i	0.223283	−	0.266098i
$545$	21.6131	−	7.86653i	0.925803	−	0.336965i
$546$	0.612314	+	8.44572i	0.0262046	+	0.361443i
$547$	5.04440	+	28.6082i	0.215683	+	1.22320i	0.879717	+	0.475497i	$0.157732\pi$
$547$	5.04440	+	28.6082i	0.215683	+	1.22320i	−0.664035	+	0.747702i	$0.731157\pi$
$548$			37.9815i			1.62249i
$549$	−11.1944	+	0.435861i	−0.477766	+	0.0186021i
$550$	−2.50797			−0.106940
$551$	−1.58540	+	1.33031i	−0.0675401	+	0.0566729i
$552$	−10.7338	+	11.1599i	−0.456862	+	0.474996i
$553$	11.7236	+	2.48512i	0.498537	+	0.105678i
$554$	−3.68235	+	4.38846i	−0.156448	+	0.186448i
$555$	17.4759	+	4.32003i	0.741809	+	0.183375i
$556$	−9.90207	+	1.74600i	−0.419941	+	0.0740469i
$557$		−	11.2465i		−	0.476528i	−0.971200	−	0.238264i	$-0.923422\pi$
$557$		−	11.2465i		−	0.476528i	0.971200	−	0.238264i	$-0.0765783\pi$
$558$	3.16597	−	4.08592i	0.134026	−	0.172971i
$559$	14.8396	−	8.56762i	0.627646	−	0.362372i
$560$	26.4285	−	3.72925i	1.11681	−	0.157590i
$561$	10.3992	+	4.60507i	0.439055	+	0.194426i
$562$	0.768973	−	4.36106i	0.0324372	−	0.183960i
$563$	−6.54090	+	2.38069i	−0.275666	+	0.100334i	−0.476154	−	0.879362i	$-0.657970\pi$
$563$	−6.54090	+	2.38069i	−0.275666	+	0.100334i	0.200488	+	0.979696i	$0.435747\pi$
$564$	−1.22611	−	0.823450i	−0.0516285	−	0.0346735i
$565$	−13.1704	+	2.32230i	−0.554083	+	0.0976998i
$566$	5.06341			0.212831
$567$	9.10901	+	22.0006i	0.382543	+	0.923938i
$568$	15.7721			0.661781
$569$	−6.84382	+	1.20675i	−0.286908	+	0.0505896i	−0.315250	−	0.949009i	$-0.602088\pi$
$569$	−6.84382	+	1.20675i	−0.286908	+	0.0505896i	0.0283420	+	0.999598i	$0.490977\pi$
$570$	5.56360	+	3.73649i	0.233033	+	0.156504i
$571$	−27.5455	+	10.0258i	−1.15274	+	0.419565i	−0.846500	−	0.532388i	$-0.821295\pi$
$571$	−27.5455	+	10.0258i	−1.15274	+	0.419565i	−0.306244	+	0.951953i	$0.599072\pi$
$572$	5.65253	−	32.0571i	0.236344	−	1.34038i
$573$	15.6061	+	6.91085i	0.651956	+	0.288705i
$574$	4.68729	−	3.66631i	0.195644	−	0.153029i
$575$	−22.4231	+	12.9460i	−0.935108	+	0.539885i
$576$	−18.0396	−	2.46159i	−0.751651	−	0.102566i
$577$		−	13.4978i		−	0.561919i	−0.959720	−	0.280960i	$-0.909347\pi$
$577$		−	13.4978i		−	0.561919i	0.959720	−	0.280960i	$-0.0906527\pi$
$578$	−3.09154	+	0.545121i	−0.128591	+	0.0226741i
$579$	−20.3886	−	5.04005i	−0.847319	−	0.209457i
$580$	−1.57403	+	1.87585i	−0.0653580	+	0.0778906i
$581$	12.5512	+	38.5556i	0.520710	+	1.59956i
$582$	2.52697	−	2.62728i	0.104746	−	0.108904i
$583$	−5.36792	+	4.50422i	−0.222316	+	0.186546i
$584$	−1.95275			−0.0808052
$585$	25.7381	−	48.8781i	1.06414	−	2.02086i
$586$		−	0.0720526i		−	0.00297647i
$587$	6.81709	+	38.6616i	0.281371	+	1.59574i	0.717966	+	0.696078i	$0.245073\pi$
$587$	6.81709	+	38.6616i	0.281371	+	1.59574i	−0.436595	+	0.899658i	$0.643816\pi$
$588$	12.3758	+	19.6688i	0.510370	+	0.811128i
$589$	−26.1351	+	9.51242i	−1.07688	+	0.391952i
$590$	−2.86584	+	3.41537i	−0.117985	+	0.140609i
$591$	−30.4587	−	2.06853i	−1.25290	−	0.0850878i
$592$	−11.9070	−	4.33378i	−0.489373	−	0.178117i
$593$	−13.3004	+	23.0369i	−0.546181	+	0.946012i	0.452351	+	0.891840i	$0.350585\pi$
$593$	−13.3004	+	23.0369i	−0.546181	+	0.946012i	−0.998532	+	0.0541725i	$0.982748\pi$
$594$	0.577553	+	3.93753i	0.0236973	+	0.161559i
$595$	15.9792	+	9.97255i	0.655082	+	0.408835i
$596$	−13.3779	−	15.9431i	−0.547979	−	0.653056i
$597$	15.1415	−	22.5455i	0.619698	−	0.922725i
$598$	4.99717	+	13.7296i	0.204349	+	0.561445i
$599$	−21.2140	+	25.2819i	−0.866781	+	1.03299i	0.132346	+	0.991204i	$0.457749\pi$
$599$	−21.2140	+	25.2819i	−0.866781	+	1.03299i	−0.999127	+	0.0417852i	$0.986695\pi$
$600$	5.86347	+	2.59651i	0.239375	+	0.106002i
$601$	−11.4857	+	2.02525i	−0.468513	+	0.0826115i	−0.402920	−	0.915235i	$-0.632005\pi$
$601$	−11.4857	+	2.02525i	−0.468513	+	0.0826115i	−0.0655926	+	0.997846i	$0.520894\pi$
$602$	−1.08243	+	1.73440i	−0.0441167	+	0.0706888i
$603$	6.09805	−	1.32176i	0.248332	−	0.0538261i
$604$	17.0598	+	29.5484i	0.694153	+	1.20231i
$605$	−1.97845	−	11.2203i	−0.0804353	−	0.456171i
$606$	−1.61572	+	0.466807i	−0.0656341	+	0.0189628i
$607$	−1.16536	−	3.20181i	−0.0473007	−	0.129958i	0.913793	−	0.406180i	$-0.133139\pi$
$607$	−1.16536	−	3.20181i	−0.0473007	−	0.129958i	−0.961094	+	0.276223i	$0.910917\pi$
$608$	−11.6853	−	9.80513i	−0.473901	−	0.397650i
$609$	−1.95791	−	0.556001i	−0.0793386	−	0.0225303i
$610$	−2.91387	−	1.06056i	−0.117979	−	0.0429409i
$611$	−2.46635	+	1.42395i	−0.0997780	+	0.0576068i
$612$	−9.56458	−	10.5373i	−0.386625	−	0.425944i
$613$	−0.935230	+	1.61987i	−0.0377736	+	0.0654258i	−0.884294	−	0.466930i	$-0.845360\pi$
$613$	−0.935230	+	1.61987i	−0.0377736	+	0.0654258i	0.846521	+	0.532356i	$0.178693\pi$
$614$	1.21405	+	0.441880i	0.0489953	+	0.0178328i
$615$	−38.5997	+	4.13524i	−1.55649	+	0.166749i
$616$	2.45671	+	7.54672i	0.0989838	+	0.304066i
$617$	2.51227	+	0.442981i	0.101140	+	0.0178337i	0.223989	−	0.974592i	$-0.428092\pi$
$617$	2.51227	+	0.442981i	0.101140	+	0.0178337i	−0.122849	+	0.992425i	$0.539203\pi$
$618$	2.06797	+	1.38884i	0.0831858	+	0.0558672i
$619$	2.09682	−	5.76096i	0.0842782	−	0.231553i	−0.890394	−	0.455191i	$-0.849571\pi$
$619$	2.09682	−	5.76096i	0.0842782	−	0.231553i	0.974672	+	0.223638i	$0.0717934\pi$
$620$	−28.4991	+	16.4540i	−1.14455	+	0.660807i
$621$	25.4890	+	32.2231i	1.02284	+	1.29307i
$622$			5.14561i			0.206320i
$623$	11.5214	−	28.5622i	0.461596	−	1.14432i
$624$	−21.6782	+	32.2786i	−0.867822	+	1.29218i
$625$	−23.4793	−	19.7014i	−0.939170	−	0.788058i
$626$	5.30558	+	4.45191i	0.212054	+	0.177934i
$627$	8.67031	−	19.5794i	0.346259	−	0.781925i
$628$	−2.59085	+	7.11829i	−0.103386	+	0.284051i
$629$	−4.47110	−	7.74418i	−0.178275	−	0.308781i
$630$	0.0300863	+	6.59085i	0.00119867	+	0.262586i
$631$	−5.17604	+	8.96516i	−0.206055	+	0.356898i	−0.950468	−	0.310821i	$-0.899396\pi$
$631$	−5.17604	+	8.96516i	−0.206055	+	0.356898i	0.744413	+	0.667719i	$0.232729\pi$
$632$	−3.29186	−	3.92309i	−0.130943	−	0.156052i
$633$	5.58583	+	1.38081i	0.222017	+	0.0548825i
$634$	−1.03942	+	5.89485i	−0.0412807	+	0.234114i
$635$	−8.39331	+	3.05491i	−0.333078	+	0.121231i
$636$	8.42342	−	2.43366i	0.334010	−	0.0965010i
$637$	44.5579	−	4.73328i	1.76545	−	0.187539i
$638$	−0.294591	−	0.170082i	−0.0116630	−	0.00673362i
$639$	5.65812	−	41.4653i	0.223832	−	1.64034i
$640$	−20.6746	−	11.9365i	−0.817235	−	0.471831i
$641$	−0.357124	−	0.425604i	−0.0141056	−	0.0168104i	0.758946	−	0.651154i	$-0.225715\pi$
$641$	−0.357124	−	0.425604i	−0.0141056	−	0.0168104i	−0.773051	+	0.634344i	$0.781270\pi$
$642$	1.11779	+	1.53204i	0.0441157	+	0.0604648i
$643$	−7.70030	−	21.1564i	−0.303670	−	0.834327i	−0.993855	−	0.110694i	$-0.964693\pi$
$643$	−7.70030	−	21.1564i	−0.303670	−	0.834327i	0.690184	−	0.723634i	$-0.257529\pi$
$644$	29.8122	+	26.8130i	1.17476	+	1.05658i
$645$	11.9755	−	5.87061i	0.471537	−	0.231155i
$646$	−0.578085	−	3.27848i	−0.0227445	−	0.128990i
$647$	−8.90914	−	15.4311i	−0.350254	−	0.606659i	0.636039	−	0.771657i	$-0.280572\pi$
$647$	−8.90914	−	15.4311i	−0.350254	−	0.606659i	−0.986294	+	0.164998i	$0.947238\pi$
$648$	2.72626	−	9.80362i	0.107098	−	0.385123i
$649$	12.3368	+	7.12264i	0.484261	+	0.279588i
$650$	4.63530	−	3.88948i	0.181811	−	0.152558i
$651$	−22.1693	−	16.0204i	−0.868885	−	0.627890i
$652$	−2.53751	+	14.3910i	−0.0993767	+	0.563594i
$653$	45.7951	+	8.07491i	1.79210	+	0.315996i	0.968095	−	0.250584i	$-0.0806228\pi$
$653$	45.7951	+	8.07491i	1.79210	+	0.315996i	0.824007	+	0.566580i	$0.191734\pi$
$654$	−0.425853	−	3.97505i	−0.0166522	−	0.155437i
$655$	45.9860	−	38.5868i	1.79682	−	1.50771i
$656$	27.3249			1.06686
$657$	−0.700535	+	5.13384i	−0.0273305	+	0.200290i
$658$	0.179902	−	0.288259i	0.00701330	−	0.0112375i
$659$	15.2241	−	41.8278i	0.593046	−	1.62938i	−0.171773	−	0.985136i	$-0.554950\pi$
$659$	15.2241	−	41.8278i	0.593046	−	1.62938i	0.764820	−	0.644245i	$-0.222828\pi$
$660$	6.08012	−	24.5960i	0.236668	−	0.957397i
$661$	6.43212	+	1.13416i	0.250180	+	0.0441135i	0.297332	−	0.954774i	$-0.403903\pi$
$661$	6.43212	+	1.13416i	0.250180	+	0.0441135i	−0.0471515	+	0.998888i	$0.515014\pi$
$662$	−8.38664	−	1.47879i	−0.325956	−	0.0574749i
$663$	−26.3618	+	7.61636i	−1.02381	+	0.295795i
$664$	5.92627	−	16.2823i	0.229984	−	0.631876i
$665$	18.7761	−	30.0852i	0.728106	−	1.16665i
$666$	1.45789	−	2.76862i	0.0564923	−	0.107282i
$667$	−3.51181			−0.135978
$668$	28.0079	−	23.5014i	1.08366	−	0.909297i
$669$	8.81095	+	3.90174i	0.340651	+	0.150850i
$670$	1.70085	+	0.299906i	0.0657095	+	0.0115864i
$671$	−1.72045	+	9.75714i	−0.0664171	+	0.376670i
$672$	1.52989	−	14.9233i	0.0590167	−	0.575680i
$673$	−26.3036	+	22.0713i	−1.01393	+	0.850788i	−0.988853	−	0.148898i	$-0.952428\pi$
$673$	−26.3036	+	22.0713i	−1.01393	+	0.850788i	−0.0250770	+	0.999686i	$0.507983\pi$
$674$	3.92031	+	2.26339i	0.151005	+	0.0871826i
$675$	8.92980	−	14.4838i	0.343708	−	0.557481i
$676$	26.8101	+	46.4365i	1.03116	+	1.78602i
$677$	2.17087	+	12.3116i	0.0834333	+	0.473174i	0.997684	+	0.0680240i	$0.0216695\pi$
$677$	2.17087	+	12.3116i	0.0834333	+	0.473174i	−0.914250	+	0.405150i	$0.867219\pi$
$678$	−0.157503	+	2.31920i	−0.00604885	+	0.0890682i
$679$	−14.3420	−	12.8992i	−0.550395	−	0.495025i
$680$	−2.75299	−	7.56378i	−0.105572	−	0.290058i
$681$	−8.82664	+	19.9324i	−0.338237	+	0.763811i
$682$	−2.93841	−	3.50186i	−0.112517	−	0.134093i
$683$	−23.7951	−	13.7381i	−0.910493	−	0.525674i	−0.0299035	−	0.999553i	$-0.509520\pi$
$683$	−23.7951	−	13.7381i	−0.910493	−	0.525674i	−0.880590	+	0.473879i	$0.842853\pi$
$684$	−19.8393	+	18.0080i	−0.758576	+	0.688552i
$685$	49.3662	+	28.5016i	1.88618	+	1.08899i
$686$	−4.42725	+	2.99697i	−0.169033	+	0.114425i
$687$	3.21048	−	12.9874i	0.122487	−	0.495500i
$688$	−8.82152	+	3.21077i	−0.336317	+	0.122410i
$689$	2.93578	−	16.6496i	0.111844	−	0.634300i
$690$	3.15650	+	10.9253i	0.120166	+	0.415920i
$691$	7.49226	+	8.92892i	0.285019	+	0.339672i	0.889490	−	0.456955i	$-0.151060\pi$
$691$	7.49226	+	8.92892i	0.285019	+	0.339672i	−0.604471	+	0.796627i	$0.706615\pi$
$692$	1.58777	−	2.75010i	0.0603579	−	0.104543i
$693$	20.7219	−	3.75144i	0.787160	−	0.142506i
$694$	0.701872	+	1.21568i	0.0266427	+	0.0461465i
$695$	−5.16122	+	14.1803i	−0.195776	+	0.537891i
$696$	0.512647	+	0.702632i	0.0194318	+	0.0266332i
$697$	14.7721	+	12.3953i	0.559533	+	0.469504i
$698$	−3.24238	−	2.72068i	−0.122726	−	0.102979i
$699$	4.75274	+	0.322771i	0.179765	+	0.0122083i
$700$	6.21201	−	15.3999i	0.234792	−	0.582061i
$701$			32.4601i			1.22600i	0.790082	+	0.613001i	$0.210038\pi$
$701$			32.4601i			1.22600i	−0.790082	+	0.613001i	$0.789962\pi$
$702$	−7.17395	−	6.38175i	−0.270763	−	0.240864i
$703$	−14.5806	+	8.41809i	−0.549916	+	0.317494i
$704$	−5.50714	+	15.1307i	−0.207558	+	0.570261i
$705$	−1.99035	+	0.975703i	−0.0749610	+	0.0367471i
$706$	1.70346	+	0.300367i	0.0641107	+	0.0113044i
$707$	2.75477	+	8.46231i	0.103604	+	0.318258i
$708$	−10.5058	−	14.3993i	−0.394834	−	0.541157i
$709$	−36.9085	−	13.4336i	−1.38613	−	0.504509i	−0.462097	−	0.886830i	$-0.652903\pi$
$709$	−36.9085	−	13.4336i	−1.38613	−	0.504509i	−0.924030	+	0.382321i	$0.875125\pi$
$710$	5.79182	−	10.0317i	0.217363	−	0.376484i
$711$	−11.4949	+	7.24704i	−0.431092	+	0.271785i
$712$	−11.3980	+	6.58064i	−0.427158	+	0.246620i
$713$	−44.3478	−	16.1413i	−1.66084	−	0.604496i
$714$	2.34925	−	2.28030i	0.0879186	−	0.0853380i
$715$	−37.4243	−	31.4027i	−1.39959	−	1.17439i
$716$	−3.94092	−	10.8276i	−0.147279	−	0.404646i
$717$	11.9701	+	11.5131i	0.447030	+	0.429963i
$718$	−0.0912340	−	0.517414i	−0.00340482	−	0.0193097i
$719$	−18.1544	−	31.4443i	−0.677043	−	1.17267i	−0.975867	−	0.218365i	$-0.929928\pi$
$719$	−18.1544	−	31.4443i	−0.677043	−	1.17267i	0.298824	−	0.954308i	$-0.403406\pi$
$720$	−18.5366	+	23.9228i	−0.690818	+	0.891551i
$721$	6.97900	−	11.1825i	0.259911	−	0.416460i
$722$	−0.771245	+	0.135991i	−0.0287028	+	0.00506108i
$723$	2.14397	−	1.56427i	0.0797353	−	0.0581756i
$724$	5.98148	−	7.12845i	0.222300	−	0.264927i
$725$	0.497433	+	1.36668i	0.0184742	+	0.0507574i
$726$	−1.97580	−	0.134182i	−0.0733290	−	0.00497996i
$727$	0.158059	+	0.188367i	0.00586208	+	0.00698616i	0.768968	−	0.639288i	$-0.220771\pi$
$727$	0.158059	+	0.188367i	0.00586208	+	0.00698616i	−0.763105	+	0.646274i	$0.776326\pi$
$728$	−16.2444	−	10.1381i	−0.602056	−	0.375741i
$729$	−24.7960	−	10.6844i	−0.918372	−	0.395719i
$730$	−0.717088	+	1.24203i	−0.0265406	+	0.0459697i
$731$	−6.22548	−	2.26589i	−0.230258	−	0.0838070i
$732$	6.91170	−	10.2915i	0.255464	−	0.380383i
$733$	7.05145	−	8.40360i	0.260451	−	0.310394i	−0.619933	−	0.784655i	$-0.712840\pi$
$733$	7.05145	−	8.40360i	0.260451	−	0.310394i	0.880384	+	0.474261i	$0.157285\pi$
$734$	−7.37528	+	2.68438i	−0.272227	+	0.0990824i
$735$	34.8512	−	1.32576i	1.28551	−	0.0489013i
$736$	−4.49473	−	25.4909i	−0.165678	−	0.939606i
$737$		−	5.51825i		−	0.203267i
$738$	−0.912289	+	6.68566i	−0.0335818	+	0.246103i
$739$	49.9364			1.83694			0.918469	−	0.395492i	$-0.129426\pi$
$739$	49.9364			1.83694			0.918469	+	0.395492i	$0.129426\pi$
$740$	−15.2602	+	12.8048i	−0.560974	+	0.470713i
$741$	14.3399	+	49.6334i	0.526789	+	1.82333i
$742$	0.624403	+	1.91809i	0.0229225	+	0.0704152i
$743$	9.20279	−	10.9675i	0.337617	−	0.402357i	−0.570347	−	0.821404i	$-0.693191\pi$
$743$	9.20279	−	10.9675i	0.337617	−	0.402357i	0.907965	+	0.419047i	$0.137636\pi$
$744$	3.24431	+	11.2292i	0.118942	+	0.411684i
$745$	−30.7608	+	5.42395i	−1.12699	+	0.198718i
$746$		−	2.93105i		−	0.107313i
$747$	−40.6807	−	21.4215i	−1.48843	−	0.783773i
$748$	−10.8994	+	6.29274i	−0.398520	+	0.230085i
$749$	7.90454	−	6.18278i	0.288826	−	0.225914i
$750$	−2.00470	+	1.46265i	−0.0732014	+	0.0534085i
$751$	−4.71689	+	26.7508i	−0.172122	+	0.976150i	0.769292	+	0.638897i	$0.220609\pi$
$751$	−4.71689	+	26.7508i	−0.172122	+	0.976150i	−0.941414	+	0.337253i	$0.890502\pi$
$752$	1.46615	−	0.533634i	0.0534649	−	0.0194596i
$753$	2.65000	−	39.0207i	0.0965712	−	1.42199i
$754$	0.808242	−	0.142515i	0.0294344	−	0.00519009i
$755$	51.2071			1.86362
$756$	−25.6085	−	6.20651i	−0.931371	−	0.225728i
$757$	−37.8156			−1.37443			−0.687216	−	0.726453i	$-0.741167\pi$
$757$	−37.8156			−1.37443			−0.687216	+	0.726453i	$0.741167\pi$
$758$	3.41993	−	0.603026i	0.124218	−	0.0219029i
$759$	32.6260	−	15.9938i	1.18425	−	0.580539i
$760$	−14.2409	+	5.18326i	−0.516572	+	0.188017i
$761$	6.94531	−	39.3888i	0.251767	−	1.42784i	−0.552470	−	0.833533i	$-0.686314\pi$
$761$	6.94531	−	39.3888i	0.251767	−	1.42784i	0.804237	−	0.594309i	$-0.202574\pi$
$762$	0.165377	+	1.54368i	0.00599098	+	0.0559218i
$763$	−20.9472	+	2.95580i	−0.758339	+	0.107007i
$764$	−16.3567	+	9.44356i	−0.591765	+	0.341656i
$765$	−20.8730	+	4.52425i	−0.754667	+	0.163574i
$766$			5.03886i			0.182062i
$767$	−33.8473	+	5.96818i	−1.22215	+	0.215499i
$768$	11.6972	−	12.1615i	0.422088	−	0.438842i
$769$	−26.7155	+	31.8383i	−0.963386	+	1.14812i	0.0255350	+	0.999674i	$0.491871\pi$
$769$	−26.7155	+	31.8383i	−0.963386	+	1.14812i	−0.988921	+	0.148444i	$0.952573\pi$
$770$	5.70220	+	1.20873i	0.205493	+	0.0435596i
$771$	7.75070	+	1.91597i	0.279135	+	0.0690020i
$772$	17.8036	−	14.9390i	0.640764	−	0.537665i
$773$	−48.7683			−1.75407			−0.877036	−	0.480425i	$-0.840483\pi$
$773$	−48.7683			−1.75407			−0.877036	+	0.480425i	$0.840483\pi$
$774$	−0.491068	−	2.26559i	−0.0176511	−	0.0814348i
$775$			19.5451i			0.702081i
$776$	1.43139	+	8.11784i	0.0513841	+	0.291414i
$777$	−14.9003	−	7.22019i	−0.534545	−	0.259023i
$778$	10.0967	−	3.67491i	0.361986	−	0.131752i
$779$	23.3375	−	27.8125i	0.836152	−	0.996488i
$780$	26.9071	+	54.8882i	0.963430	+	1.96531i
$781$	−34.7790	−	12.6585i	−1.24449	−	0.452958i
$782$	2.82448	−	4.89215i	0.101003	−	0.174943i
$783$	2.03115	−	1.09570i	0.0725875	−	0.0391572i
$784$	−24.4908	−	1.68523i	−0.874672	−	0.0601867i
$785$	7.30775	+	8.70903i	0.260825	+	0.310839i
$786$	−4.59286	−	9.36904i	−0.163822	−	0.334182i
$787$	−11.3265	−	31.1193i	−0.403746	−	1.10928i	−0.960421	−	0.278552i	$-0.910145\pi$
$787$	−11.3265	−	31.1193i	−0.403746	−	1.10928i	0.556675	−	0.830730i	$-0.312077\pi$
$788$	21.7152	−	25.8792i	0.773573	−	0.921908i
$789$	0.671450	+	6.26753i	0.0239043	+	0.223130i
$790$	−3.70410	+	0.653132i	−0.131786	+	0.0232374i
$791$	12.2933	+	0.422453i	0.437098	+	0.0150207i
$792$	−7.96267	−	4.19296i	−0.282941	−	0.148990i
$793$	−11.9520	−	20.7016i	−0.424430	−	0.735134i
$794$	−1.25751	−	7.13172i	−0.0446275	−	0.253095i
$795$	3.15785	−	12.7745i	0.111998	−	0.453065i
$796$	10.2787	+	28.2405i	0.364318	+	1.00096i
$797$	17.6036	+	14.7712i	0.623552	+	0.523222i	0.898918	−	0.438117i	$-0.144355\pi$
$797$	17.6036	+	14.7712i	0.623552	+	0.523222i	−0.275366	+	0.961340i	$0.588799\pi$
$798$	−4.29329	−	4.42312i	−0.151981	−	0.156577i
$799$	1.03468	+	0.376594i	0.0366045	+	0.0133229i
$800$	−9.28358	+	5.35988i	−0.328224	+	0.189500i
$801$	13.2118	+	32.3265i	0.466815	+	1.14220i
$802$	3.52877	−	6.11200i	0.124605	−	0.215822i
$803$	4.30601	+	1.56726i	0.151956	+	0.0553074i
$804$	−2.79576	+	6.31340i	−0.0985987	+	0.222657i
$805$	57.2212	−	18.6274i	2.01678	−	0.656531i
$806$	10.8617	+	1.91521i	0.382586	+	0.0674603i
$807$	−1.27084	+	18.7129i	−0.0447358	+	0.658726i
$808$	1.30072	−	3.57369i	0.0457591	−	0.125722i
$809$	3.87201	−	2.23551i	0.136133	−	0.0785962i	−0.430387	−	0.902644i	$-0.641623\pi$
$809$	3.87201	−	2.23551i	0.136133	−	0.0785962i	0.566520	+	0.824048i	$0.308290\pi$
$810$	−5.23440	−	5.33411i	−0.183918	−	0.187422i
$811$		−	33.3526i		−	1.17117i	−0.810611	−	0.585584i	$-0.800865\pi$
$811$		−	33.3526i		−	1.17117i	0.810611	−	0.585584i	$-0.199135\pi$
$812$	1.77404	−	1.38762i	0.0622567	−	0.0486960i
$813$	−6.80626	−	13.8842i	−0.238706	−	0.486940i
$814$	−2.11984	−	1.77876i	−0.0743003	−	0.0623453i
$815$	16.8004	+	14.0972i	0.588491	+	0.493802i
$816$	14.9477	−	1.60137i	0.523274	−	0.0560591i
$817$	−4.26617	+	11.7212i	−0.149254	+	0.410073i
$818$	4.92797	+	8.53549i	0.172302	+	0.298437i
$819$	−32.4809	+	39.0700i	−1.13497	+	1.36522i
$820$	21.4792	−	37.2031i	0.750086	−	1.29919i
$821$	4.35728	+	5.19281i	0.152070	+	0.181230i	0.836701	−	0.547660i	$-0.184481\pi$
$821$	4.35728	+	5.19281i	0.152070	+	0.181230i	−0.684631	+	0.728890i	$0.740037\pi$
$822$	6.86840	−	7.14103i	0.239563	−	0.249072i
$823$	4.20683	−	23.8581i	0.146641	−	0.831642i	−0.819394	−	0.573231i	$-0.805690\pi$
$823$	4.20683	−	23.8581i	0.146641	−	0.831642i	0.966035	−	0.258412i	$-0.0831991\pi$
$824$	−5.29329	+	1.92660i	−0.184400	+	0.0671162i
$825$	−10.8456	−	10.4316i	−0.377596	−	0.363180i
$826$	3.23001	−	2.52645i	0.112386	−	0.0879063i
$827$	35.4120	+	20.4451i	1.23140	+	0.710947i	0.967321	−	0.253555i	$-0.0815998\pi$
$827$	35.4120	+	20.4451i	1.23140	+	0.710947i	0.264076	+	0.964502i	$0.414933\pi$
$828$	−45.4304	+	1.76886i	−1.57881	+	0.0614721i
$829$	11.3876	+	6.57464i	0.395508	+	0.228347i	0.684544	−	0.728972i	$-0.260001\pi$
$829$	11.3876	+	6.57464i	0.395508	+	0.228347i	−0.289036	+	0.957318i	$0.593335\pi$
$830$	−8.18001	−	9.74856i	−0.283932	−	0.338377i
$831$	−34.1774	+	3.66147i	−1.18560	+	0.127015i
$832$	−13.2870	−	36.5058i	−0.460644	−	1.26561i
$833$	−12.4755	−	12.0207i	−0.432250	−	0.416492i
$834$	2.17746	+	1.46237i	0.0753992	+	0.0506378i
$835$	−9.52847	−	54.0386i	−0.329746	−	1.87008i
$836$	11.8478	+	20.5210i	0.409766	+	0.709735i
$837$	30.6859	−	4.50098i	1.06066	−	0.155577i
$838$	−3.09629	−	1.78765i	−0.106960	−	0.0617532i
$839$	−11.9715	+	10.0453i	−0.413303	+	0.346802i	−0.825609	−	0.564243i	$-0.809168\pi$
$839$	−11.9715	+	10.0453i	−0.413303	+	0.346802i	0.412306	+	0.911046i	$0.364724\pi$
$840$	−12.0800	−	8.72944i	−0.416798	−	0.301194i
$841$	5.00154	−	28.3652i	0.172467	−	0.978109i
$842$	7.13109	+	1.25740i	0.245753	+	0.0433330i
$843$	21.4646	−	15.6608i	0.739281	−	0.539387i
$844$	−4.87762	+	4.09281i	−0.167894	+	0.140880i
$845$	80.4739			2.76839
$846$	0.0816160	+	0.376543i	0.00280602	+	0.0129458i
$847$	−0.359903	+	10.4730i	−0.0123664	+	0.359858i
$848$	−3.16790	+	8.70375i	−0.108786	+	0.298888i
$849$	21.8965	+	21.0605i	0.751486	+	0.722796i
$850$	−2.30394	−	0.406248i	−0.0790246	−	0.0139342i
$851$	−28.1347	−	4.96091i	−0.964446	−	0.170058i
$852$	33.3772	+	32.1030i	1.14349	+	1.09983i
$853$	17.9895	−	49.4257i	0.615948	−	1.69230i	−0.100744	−	0.994912i	$-0.532122\pi$
$853$	17.9895	−	49.4257i	0.615948	−	1.69230i	0.716692	−	0.697390i	$-0.245656\pi$
$854$	2.41953	+	1.51002i	0.0827946	+	0.0516719i
$855$	8.51815	+	39.2993i	0.291314	+	1.34401i
$856$	−4.28848			−0.146577
$857$	10.9398	−	9.17962i	0.373698	−	0.313570i	−0.436525	−	0.899692i	$-0.643791\pi$
$857$	10.9398	−	9.17962i	0.373698	−	0.313570i	0.810222	+	0.586123i	$0.199346\pi$
$858$	−6.85981	+	5.00499i	−0.234190	+	0.170867i
$859$	−55.0337	−	9.70392i	−1.87772	−	0.331093i	−0.886441	−	0.462842i	$-0.846830\pi$
$859$	−55.0337	−	9.70392i	−1.87772	−	0.331093i	−0.991283	+	0.131749i	$0.957941\pi$
$860$	−2.56282	+	14.5345i	−0.0873914	+	0.495621i
$861$	35.5195	+	3.64133i	1.21050	+	0.124096i
$862$	−2.97010	+	2.49221i	−0.101162	+	0.0848851i
$863$	28.9619	+	16.7212i	0.985874	+	0.569195i	0.904038	−	0.427451i	$-0.140588\pi$
$863$	28.9619	+	16.7212i	0.985874	+	0.569195i	0.0818358	+	0.996646i	$0.473922\pi$
$864$	10.5529	+	13.3410i	0.359018	+	0.453869i
$865$	−2.38294	−	4.12738i	−0.0810225	−	0.140335i
$866$	1.34290	+	7.61595i	0.0456335	+	0.258801i
$867$	−15.6366	−	10.5015i	−0.531046	−	0.356648i
$868$	28.7809	−	9.36915i	0.976887	−	0.318010i
$869$	4.11026	+	11.2929i	0.139431	+	0.383084i
$870$	0.635159	−	0.0680456i	0.0215339	−	0.00230696i
$871$	8.55795	+	10.1990i	0.289975	+	0.345579i
$872$	7.82902	+	4.52009i	0.265124	+	0.153069i
$873$	21.8556	−	0.850961i	0.739700	−	0.0288007i
$874$	−9.21083	−	5.31787i	−0.311561	−	0.179880i
$875$	8.09027	+	10.3432i	0.273501	+	0.349665i
$876$	−4.13245	−	3.97468i	−0.139623	−	0.134292i
$877$	−2.15703	+	0.785094i	−0.0728377	+	0.0265107i	−0.378182	−	0.925731i	$-0.623451\pi$
$877$	−2.15703	+	0.785094i	−0.0728377	+	0.0265107i	0.305344	+	0.952242i	$0.401228\pi$
$878$	0.222538	−	1.26207i	0.00751029	−	0.0425929i
$879$	0.299693	−	0.311589i	0.0101084	−	0.0105096i
$880$	17.2042	+	20.5032i	0.579953	+	0.691161i
$881$	−21.4005	+	37.0668i	−0.721003	+	1.24881i	0.239596	+	0.970873i	$0.422985\pi$
$881$	−21.4005	+	37.0668i	−0.721003	+	1.24881i	−0.960598	+	0.277941i	$0.910348\pi$
$882$	1.23000	−	5.93598i	0.0414162	−	0.199875i
$883$	7.18997	+	12.4534i	0.241962	+	0.419090i	0.961273	−	0.275598i	$-0.0888758\pi$
$883$	7.18997	+	12.4534i	0.241962	+	0.419090i	−0.719311	+	0.694688i	$0.755543\pi$
$884$	10.3854	−	28.5336i	0.349298	−	0.959690i
$885$	−26.5990	+	2.84959i	−0.894114	+	0.0957878i
$886$	−5.10785	−	4.28599i	−0.171602	−	0.143991i
$887$	−21.1145	−	17.7171i	−0.708955	−	0.594884i	0.215351	−	0.976537i	$-0.430910\pi$
$887$	−21.1145	−	17.7171i	−0.708955	−	0.594884i	−0.924306	+	0.381653i	$0.875355\pi$
$888$	3.11449	+	6.35329i	0.104515	+	0.213202i
$889$	8.13470	−	1.14787i	0.272829	−	0.0384982i
$890$			9.66617i			0.324011i
$891$	−13.8800	+	19.4299i	−0.464998	+	0.650927i
$892$	−9.23471	+	5.33166i	−0.309201	+	0.178517i
$893$	0.709042	−	1.94808i	0.0237272	−	0.0651899i
$894$	−0.367863	+	5.41671i	−0.0123032	+	0.181162i
$895$	−17.0303	−	3.00291i	−0.569261	−	0.100376i
$896$	16.3257	+	14.6833i	0.545404	+	0.490536i
$897$	−35.4963	+	80.1581i	−1.18519	+	2.67640i
$898$	2.59414	+	0.944189i	0.0865675	+	0.0315080i
$899$	−1.32548	+	2.29580i	−0.0442074	+	0.0765694i
$900$	7.12340	+	17.4295i	0.237447	+	0.580983i
$901$	−5.66084	+	3.26829i	−0.188590	+	0.108882i
$902$	5.60761	+	2.04100i	0.186713	+	0.0679579i
$903$	−11.8949	+	2.99811i	−0.395838	+	0.0997707i
$904$	−4.02668	−	3.37878i	−0.133925	−	0.112377i
$905$	−4.77660	−	13.1236i	−0.158780	−	0.436243i
$906$	2.13593	−	8.64051i	0.0709616	−	0.287062i
$907$	6.82729	+	38.7195i	0.226697	+	1.28566i	0.859415	+	0.511278i	$0.170828\pi$
$907$	6.82729	+	38.7195i	0.226697	+	1.28566i	−0.632719	+	0.774382i	$0.718061\pi$
$908$	−12.0614	−	20.8910i	−0.400273	−	0.693293i
$909$	−8.92873	−	4.70167i	−0.296147	−	0.155944i
$910$	−12.4135	+	6.60923i	−0.411504	+	0.219094i
$911$	19.8382	−	3.49800i	0.657268	−	0.115894i	0.164940	−	0.986304i	$-0.447257\pi$
$911$	19.8382	−	3.49800i	0.657268	−	0.115894i	0.492328	+	0.870410i	$0.336146\pi$
$912$	−3.01502	−	28.1432i	−0.0998372	−	0.931913i
$913$	−26.1361	+	31.1478i	−0.864978	+	1.03084i
$914$	3.59829	+	9.88623i	0.119021	+	0.327007i
$915$	−8.18965	−	16.7062i	−0.270742	−	0.552290i
$916$	9.51603	+	11.3408i	0.314418	+	0.374709i
$917$	−48.7364	+	25.9483i	−1.60942	+	0.856890i
$918$	−0.107243	+	3.71076i	−0.00353955	+	0.122473i
$919$	−3.63189	+	6.29063i	−0.119805	+	0.207509i	−0.919690	−	0.392644i	$-0.871560\pi$
$919$	−3.63189	+	6.29063i	−0.119805	+	0.207509i	0.799885	+	0.600153i	$0.204894\pi$
$920$	−24.1649	−	8.79530i	−0.796693	−	0.289973i
$921$	3.41219	+	6.96058i	0.112436	+	0.229359i
$922$	6.20928	−	7.39993i	0.204492	−	0.243704i
$923$	83.9109	−	30.5411i	2.76196	−	1.00527i
$924$	−10.1619	+	20.9710i	−0.334301	+	0.689897i
$925$	2.05453	+	11.6518i	0.0675526	+	0.383110i
$926$			3.73470i			0.122730i
$927$	3.16616	+	14.6074i	0.103990	+	0.479769i
$928$	−1.45396			−0.0477284
$929$	15.9640	−	13.3954i	0.523763	−	0.439490i	−0.342178	−	0.939635i	$-0.611165\pi$
$929$	15.9640	−	13.3954i	0.523763	−	0.439490i	0.865941	+	0.500146i	$0.166720\pi$
$930$	8.33367	+	2.06008i	0.273272	+	0.0675527i
$931$	−22.6323	+	23.4886i	−0.741743	+	0.769807i
$932$	−3.38842	+	4.03817i	−0.110991	+	0.132275i
$933$	−21.4024	+	22.2520i	−0.700684	+	0.728497i
$934$	3.96497	−	0.699131i	0.129738	−	0.0228763i
$935$			18.8884i			0.617718i
$936$	21.2195	−	4.59933i	0.693580	−	0.150334i
$937$	−6.28669	+	3.62962i	−0.205377	+	0.118575i	−0.599161	−	0.800628i	$-0.704499\pi$
$937$	−6.28669	+	3.62962i	−0.205377	+	0.118575i	0.393784	+	0.919203i	$0.371166\pi$
$938$	−1.47317	−	0.594248i	−0.0481007	−	0.0194029i
$939$	4.42666	+	41.3199i	0.144459	+	1.34842i
$940$	0.425944	−	2.41565i	0.0138927	−	0.0787897i
$941$	4.90428	−	1.78501i	0.159875	−	0.0581897i	−0.260843	−	0.965381i	$-0.584000\pi$
$941$	4.90428	−	1.78501i	0.159875	−	0.0581897i	0.420718	+	0.907192i	$0.361778\pi$
$942$	1.77435	−	0.869817i	0.0578115	−	0.0283402i
$943$	60.6716	−	10.6980i	1.97574	−	0.348376i
$944$	18.8295			0.612849
$945$	−27.2836	+	28.6270i	−0.887536	+	0.931236i
$946$	−2.05018			−0.0666570
$947$	9.49617	−	1.67443i	0.308584	−	0.0544117i	−0.0172116	−	0.999852i	$-0.505479\pi$
$947$	9.49617	−	1.67443i	0.308584	−	0.0544117i	0.325796	+	0.945440i	$0.394368\pi$
$948$	1.01886	−	15.0025i	0.0330910	−	0.487259i
$949$	−10.3891	+	3.78131i	−0.337243	+	0.122746i
$950$	−0.764873	+	4.33781i	−0.0248158	+	0.140737i
$951$	−29.0137	+	21.1687i	−0.940835	+	0.686443i
$952$	1.03442	+	7.33073i	0.0335257	+	0.237590i
$953$	−24.6467	+	14.2298i	−0.798385	+	0.460948i	−0.842906	−	0.538061i	$-0.819157\pi$
$953$	−24.6467	+	14.2298i	−0.798385	+	0.460948i	0.0445210	+	0.999008i	$0.485824\pi$
$954$	−2.02381	−	1.06569i	−0.0655232	−	0.0345030i
$955$			28.3460i			0.917255i
$956$	−18.0993	+	3.19139i	−0.585372	+	0.103217i
$957$	−0.566514	−	1.96082i	−0.0183128	−	0.0633844i
$958$	2.17557	−	2.59274i	0.0702895	−	0.0837677i
$959$	−38.9821	−	35.0604i	−1.25880	−	1.13216i
$960$	−8.39284	−	29.0494i	−0.270878	−	0.937565i
$961$	−3.54326	+	2.97315i	−0.114299	+	0.0959080i
$962$	6.67651			0.215259
$963$	−1.53846	+	11.2745i	−0.0495763	+	0.363317i
$964$			2.93685i			0.0945897i
$965$	−6.05688	−	34.3503i	−0.194978	−	1.10578i
$966$	−0.756341	−	10.4323i	−0.0243349	−	0.335654i
$967$	41.4607	−	15.0904i	1.33328	−	0.485276i	0.425593	−	0.904914i	$-0.360065\pi$
$967$	41.4607	−	15.0904i	1.33328	−	0.485276i	0.907691	+	0.419639i	$0.137843\pi$
$968$	2.87850	−	3.43047i	0.0925186	−	0.110259i
$969$	11.1365	−	16.5821i	0.357756	−	0.532695i
$970$	5.68894	+	2.07061i	0.182661	+	0.0664831i
$971$	1.66945	−	2.89156i	0.0535751	−	0.0927947i	−0.837994	−	0.545679i	$-0.816272\pi$
$971$	1.66945	−	2.89156i	0.0535751	−	0.0927947i	0.891569	+	0.452885i	$0.149605\pi$
$972$	25.7240	−	15.1976i	0.825098	−	0.487462i
$973$	7.34851	−	11.7746i	0.235583	−	0.377477i
$974$	2.58782	+	3.08405i	0.0829193	+	0.0988193i
$975$	36.2229	+	2.45999i	1.16006	+	0.0787827i
$976$	4.47911	+	12.3062i	0.143373	+	0.393913i
$977$	12.3310	−	14.6955i	0.394504	−	0.470152i	−0.531832	−	0.846850i	$-0.678496\pi$
$977$	12.3310	−	14.6955i	0.394504	−	0.470152i	0.926336	+	0.376698i	$0.122941\pi$
$978$	3.07948	−	2.24682i	0.0984709	−	0.0718454i
$979$	30.4154	−	5.36305i	0.972079	−	0.171404i
$980$	−21.5459	+	32.0198i	−0.688258	+	1.02283i
$981$	14.6921	−	18.9612i	0.469082	−	0.605385i
$982$	1.68645	+	2.92101i	0.0538167	+	0.0932133i
$983$	−7.31958	−	41.5114i	−0.233458	−	1.32401i	−0.845836	−	0.533443i	$-0.820898\pi$
$983$	−7.31958	−	41.5114i	−0.233458	−	1.32401i	0.612378	−	0.790565i	$-0.290213\pi$
$984$	−10.9971	−	10.5773i	−0.350576	−	0.337192i
$985$	−17.3410	−	47.6441i	−0.552531	−	1.51807i
$986$	−0.243075	−	0.203964i	−0.00774110	−	0.00649555i
$987$	1.97695	−	0.498289i	0.0629271	−	0.0158607i
$988$	−53.7224	−	19.5534i	−1.70914	−	0.622076i
$989$	−18.3301	+	10.5829i	−0.582862	+	0.336516i
$990$	−5.59096	+	3.52487i	−0.177692	+	0.112028i
$991$	−26.3241	+	45.5947i	−0.836214	+	1.44836i	0.0568248	+	0.998384i	$0.481902\pi$
$991$	−26.3241	+	45.5947i	−0.836214	+	1.44836i	−0.893038	+	0.449980i	$0.851431\pi$
$992$	−18.3608	−	6.68279i	−0.582957	−	0.212179i
$993$	−30.1169	−	41.2780i	−0.955730	−	1.30992i
$994$	−7.12464	+	7.92156i	−0.225980	+	0.251257i
$995$	44.4185	+	7.83218i	1.40816	+	0.248297i
$996$	45.6828	−	22.3945i	1.44752	−	0.709597i
$997$	−14.2080	+	39.0361i	−0.449971	+	1.23629i	0.482773	+	0.875746i	$0.339630\pi$
$997$	−14.2080	+	39.0361i	−0.449971	+	1.23629i	−0.932744	+	0.360540i	$0.882593\pi$
$998$	8.43939	−	4.87248i	0.267144	−	0.154236i
$999$	17.8203	−	5.90889i	0.563810	−	0.186949i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	189.2.ba.a.5.12	✓	132
3.2	odd	2		567.2.ba.a.530.11		132
7.3	odd	6		189.2.bd.a.59.11	yes	132
21.17	even	6		567.2.bd.a.206.12		132
27.11	odd	18		189.2.bd.a.173.11	yes	132
27.16	even	9		567.2.bd.a.278.12		132
189.38	even	18	inner	189.2.ba.a.38.12	yes	132
189.178	odd	18		567.2.ba.a.521.11		132

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
189.2.ba.a.5.12	✓	132	1.1	even	1	trivial
189.2.ba.a.38.12	yes	132	189.38	even	18	inner
189.2.bd.a.59.11	yes	132	7.3	odd	6
189.2.bd.a.173.11	yes	132	27.11	odd	18
567.2.ba.a.521.11		132	189.178	odd	18
567.2.ba.a.530.11		132	3.2	odd	2
567.2.bd.a.206.12		132	21.17	even	6
567.2.bd.a.278.12		132	27.16	even	9

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:	\( N \)	\(=\)	\( 189 = 3^{3} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	189.ba (of order \(18\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(0.284285 - 0.0501271i) q^{2} +(1.43787 + 0.965670i) q^{3} +(-1.80108 + 0.655540i) q^{4} +(-0.499509 + 2.83286i) q^{5} +(0.457172 + 0.202449i) q^{6} +(0.989753 - 2.45365i) q^{7} +(-0.979151 + 0.565313i) q^{8} +(1.13496 + 2.77702i) q^{9} +0.830377i q^{10} +(2.61285 - 0.460715i) q^{11} +(-3.22276 - 0.796666i) q^{12} +(-4.11463 + 4.90363i) q^{13} +(0.158378 - 0.747148i) q^{14} +(-3.45384 + 3.59093i) q^{15} +(2.68649 - 2.25423i) q^{16} +2.47492 q^{17} +(0.461857 + 0.732573i) q^{18} -4.65971i q^{19} +(-0.957395 - 5.42965i) q^{20} +(3.79255 - 2.57226i) q^{21} +(0.719698 - 0.261949i) q^{22} +(5.08246 - 6.05704i) q^{23} +(-1.95380 - 0.132688i) q^{24} +(-3.07712 - 1.11998i) q^{25} +(-0.923922 + 1.60028i) q^{26} +(-1.04975 + 5.08901i) q^{27} +(-0.174161 + 5.06804i) q^{28} +(-0.285491 - 0.340235i) q^{29} +(-0.801870 + 1.19398i) q^{30} +(-2.04142 - 5.60874i) q^{31} +(2.10423 - 2.50773i) q^{32} +(4.20184 + 1.86070i) q^{33} +(0.703581 - 0.124060i) q^{34} +(6.45645 + 4.02945i) q^{35} +(-3.86461 - 4.25763i) q^{36} +(-1.80657 - 3.12907i) q^{37} +(-0.233578 - 1.32469i) q^{38} +(-10.6516 + 3.07742i) q^{39} +(-1.11236 - 3.05618i) q^{40} +(5.96872 + 5.00835i) q^{41} +(0.949225 - 0.921364i) q^{42} +(-2.51543 - 0.915543i) q^{43} +(-4.40393 + 2.54261i) q^{44} +(-8.43384 + 1.82804i) q^{45} +(1.14124 - 1.97669i) q^{46} +(0.418068 + 0.152164i) q^{47} +(6.03967 - 0.647039i) q^{48} +(-5.04078 - 4.85701i) q^{49} +(-0.930918 - 0.164146i) q^{50} +(3.55862 + 2.38995i) q^{51} +(4.19626 - 11.5291i) q^{52} +(-2.28728 + 1.32056i) q^{53} +(-0.0433320 + 1.49935i) q^{54} +7.63196i q^{55} +(0.417961 + 2.96201i) q^{56} +(4.49975 - 6.70008i) q^{57} +(-0.0982156 - 0.0824127i) q^{58} +(4.11304 + 3.45125i) q^{59} +(3.86664 - 8.73169i) q^{60} +(-1.27720 + 3.50909i) q^{61} +(-0.861493 - 1.49215i) q^{62} +(7.93717 - 0.0362321i) q^{63} +(-3.03446 + 5.25585i) q^{64} +(-11.8360 - 14.1056i) q^{65} +(1.28779 + 0.318342i) q^{66} +(0.361168 - 2.04828i) q^{67} +(-4.45752 + 1.62241i) q^{68} +(13.1570 - 3.80128i) q^{69} +(2.03745 + 0.821869i) q^{70} +(-12.0809 - 6.97492i) q^{71} +(-2.68119 - 2.07752i) q^{72} +(1.49574 + 0.863568i) q^{73} +(-0.670431 - 0.798988i) q^{74} +(-3.34298 - 4.58187i) q^{75} +(3.05463 + 8.39252i) q^{76} +(1.45564 - 6.86700i) q^{77} +(-2.87383 + 1.40880i) q^{78} +(0.786549 + 4.46074i) q^{79} +(5.04399 + 8.73645i) q^{80} +(-6.42372 + 6.30364i) q^{81} +(1.94787 + 1.12460i) q^{82} +(-11.7399 + 9.85096i) q^{83} +(-5.14448 + 7.11902i) q^{84} +(-1.23624 + 7.01109i) q^{85} +(-0.760992 - 0.134183i) q^{86} +(-0.0819453 - 0.764904i) q^{87} +(-2.29792 + 1.92819i) q^{88} +11.6407 q^{89} +(-2.30598 + 0.942448i) q^{90} +(7.95930 + 14.9492i) q^{91} +(-5.18329 + 14.2410i) q^{92} +(2.48090 - 10.0360i) q^{93} +(0.126478 + 0.0223015i) q^{94} +(13.2003 + 2.32757i) q^{95} +(5.44726 - 1.57380i) q^{96} +(2.49357 - 6.85103i) q^{97} +(-1.67648 - 1.12809i) q^{98} +(4.24490 + 6.73304i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 132 q - 3 q^{2} - 9 q^{3} - 3 q^{4} - 9 q^{5} - 18 q^{6} - 6 q^{7} - 18 q^{8} + 3 q^{9} - 9 q^{11} - 9 q^{12} + 3 q^{14} - 24 q^{15} + 3 q^{16} - 18 q^{17} - 3 q^{18} + 18 q^{20} - 21 q^{21} - 12 q^{22}+ \cdots + 96 q^{99}+O(q^{100}) \) 132 * q - 3 * q^2 - 9 * q^3 - 3 * q^4 - 9 * q^5 - 18 * q^6 - 6 * q^7 - 18 * q^8 + 3 * q^9 - 9 * q^11 - 9 * q^12 + 3 * q^14 - 24 * q^15 + 3 * q^16 - 18 * q^17 - 3 * q^18 + 18 * q^20 - 21 * q^21 - 12 * q^22 - 6 * q^23 - 9 * q^24 - 3 * q^25 - 12 * q^28 + 6 * q^29 + 51 * q^30 - 9 * q^31 + 3 * q^32 - 9 * q^33 - 18 * q^34 + 18 * q^35 + 3 * q^37 - 99 * q^38 - 36 * q^39 - 54 * q^40 - 45 * q^42 - 12 * q^43 - 9 * q^44 - 9 * q^45 + 3 * q^46 + 45 * q^47 - 24 * q^49 - 9 * q^50 - 48 * q^51 - 9 * q^52 - 45 * q^53 + 171 * q^54 + 3 * q^56 - 3 * q^58 + 36 * q^59 + 57 * q^60 - 9 * q^61 - 99 * q^62 - 33 * q^63 + 18 * q^64 + 69 * q^65 - 9 * q^66 - 3 * q^67 + 36 * q^68 + 108 * q^69 + 66 * q^70 + 18 * q^71 - 129 * q^72 - 9 * q^73 + 75 * q^74 + 36 * q^75 + 36 * q^76 + 15 * q^77 + 66 * q^78 - 21 * q^79 + 72 * q^80 - 33 * q^81 - 18 * q^82 - 90 * q^83 - 120 * q^84 + 9 * q^85 - 105 * q^86 - 54 * q^87 - 63 * q^88 - 18 * q^89 + 81 * q^90 + 6 * q^91 + 150 * q^92 + 21 * q^93 - 9 * q^94 + 45 * q^95 - 81 * q^96 + 27 * q^98 + 96 * q^99

Introduction

L-functions

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