LMFDB - Embedded newform 189.2.bd.a.47.8

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [189,2,Mod(47,189)]

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([7, 15]))

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

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

chi := DirichletCharacter("189.47");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 189 = 3^{3} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	189.bd (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			47.8
Character	$\chi$	$=$	189.47
Dual form			189.2.bd.a.185.8

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-0.910598 - 0.160563i) q^{2} +(-1.05237 - 1.37569i) q^{3} +(-1.07598 - 0.391623i) q^{4} +(-0.473927 - 0.172495i) q^{5} +(0.737399 + 1.42167i) q^{6} +(-2.46079 + 0.971863i) q^{7} +(2.51844 + 1.45402i) q^{8} +(-0.785044 + 2.89546i) q^{9} +(0.403861 + 0.233169i) q^{10} +(1.66156 + 4.56510i) q^{11} +(0.593571 + 1.89234i) q^{12} +(1.60911 - 4.42100i) q^{13} +(2.39684 - 0.489865i) q^{14} +(0.261446 + 0.833505i) q^{15} +(-0.305533 - 0.256373i) q^{16} +(-2.38696 + 4.13434i) q^{17} +(1.17976 - 2.51055i) q^{18} +(-5.51758 + 3.18557i) q^{19} +(0.442381 + 0.371202i) q^{20} +(3.92664 + 2.36252i) q^{21} +(-0.780028 - 4.42376i) q^{22} +(-3.53298 + 0.622960i) q^{23} +(-0.650041 - 4.99475i) q^{24} +(-3.63537 - 3.05044i) q^{25} +(-2.17510 + 3.76739i) q^{26} +(4.80941 - 1.96711i) q^{27} +(3.02836 - 0.0819996i) q^{28} +(0.997075 + 2.73944i) q^{29} +(-0.104242 - 0.800967i) q^{30} +(-0.268468 + 0.737610i) q^{31} +(-3.50145 - 4.17286i) q^{32} +(4.53159 - 7.08995i) q^{33} +(2.83739 - 3.38147i) q^{34} +(1.33388 - 0.0361178i) q^{35} +(1.97862 - 2.80801i) q^{36} -5.47451 q^{37} +(5.53578 - 2.01486i) q^{38} +(-7.77529 + 2.43888i) q^{39} +(-0.942744 - 1.12352i) q^{40} +(-5.44849 - 1.98309i) q^{41} +(-3.19626 - 2.78178i) q^{42} +(-1.36729 + 7.75429i) q^{43} -5.56264i q^{44} +(0.871508 - 1.23682i) q^{45} +3.31715 q^{46} +(7.22256 - 2.62880i) q^{47} +(-0.0311561 + 0.690117i) q^{48} +(5.11096 - 4.78310i) q^{49} +(2.82057 + 3.36143i) q^{50} +(8.19953 - 1.06713i) q^{51} +(-3.46273 + 4.12672i) q^{52} +(4.26125 - 2.46023i) q^{53} +(-4.69529 + 1.01904i) q^{54} -2.45014i q^{55} +(-7.61045 - 1.13046i) q^{56} +(10.1889 + 4.23808i) q^{57} +(-0.468082 - 2.65462i) q^{58} +(-4.08557 + 3.42820i) q^{59} +(0.0451109 - 0.999221i) q^{60} +(-2.45624 - 6.74846i) q^{61} +(0.362900 - 0.628561i) q^{62} +(-0.882166 - 7.88808i) q^{63} +(2.91725 + 5.05283i) q^{64} +(-1.52520 + 1.81767i) q^{65} +(-5.26484 + 5.72849i) q^{66} +(1.51964 + 8.61830i) q^{67} +(4.18742 - 3.51366i) q^{68} +(4.57499 + 4.20470i) q^{69} +(-1.22043 - 0.181283i) q^{70} +(-11.3110 + 6.53043i) q^{71} +(-6.18714 + 6.15057i) q^{72} -9.73306i q^{73} +(4.98508 + 0.879004i) q^{74} +(-0.370709 + 8.21132i) q^{75} +(7.18433 - 1.26679i) q^{76} +(-8.52540 - 9.61893i) q^{77} +(7.47176 - 0.972412i) q^{78} +(-0.825069 + 4.67920i) q^{79} +(0.100577 + 0.174205i) q^{80} +(-7.76741 - 4.54613i) q^{81} +(4.64298 + 2.68063i) q^{82} +(-2.75845 + 1.00400i) q^{83} +(-3.29975 - 4.07978i) q^{84} +(1.84440 - 1.54764i) q^{85} +(2.49011 - 6.84151i) q^{86} +(2.71933 - 4.25456i) q^{87} +(-2.45321 + 13.9128i) q^{88} +(5.60470 + 9.70762i) q^{89} +(-0.992182 + 0.986316i) q^{90} +(0.336922 + 12.4430i) q^{91} +(4.04537 + 0.713308i) q^{92} +(1.29725 - 0.406908i) q^{93} +(-6.99893 + 1.23410i) q^{94} +(3.16443 - 0.557974i) q^{95} +(-2.05575 + 9.20829i) q^{96} +(2.41733 + 0.426241i) q^{97} +(-5.42202 + 3.53485i) q^{98} +(-14.5225 + 1.22718i) 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} - 15 q^{9} - 9 q^{10} + 9 q^{11} - 9 q^{12} - 42 q^{14} - 24 q^{15} - 15 q^{16} - 9 q^{17} - 3 q^{18} - 9 q^{19} - 18 q^{20}+ \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 - 15 * q^9 - 9 * q^10 + 9 * q^11 - 9 * q^12 - 42 * q^14 - 24 * q^15 - 15 * q^16 - 9 * q^17 - 3 * q^18 - 9 * q^19 - 18 * q^20 + 15 * q^21 - 12 * q^22 + 30 * q^23 - 36 * q^24 - 3 * q^25 - 12 * q^28 + 6 * q^29 - 3 * q^30 - 9 * q^31 - 51 * q^32 - 9 * q^33 + 18 * q^34 - 9 * q^35 - 6 * q^37 - 9 * q^38 - 9 * q^39 - 9 * q^40 + 27 * q^42 - 12 * q^43 - 63 * q^45 - 6 * q^46 + 45 * q^47 + 30 * q^49 - 9 * q^50 + 33 * q^51 - 9 * q^52 + 45 * q^53 + 117 * q^54 - 51 * q^56 - 3 * q^58 - 9 * q^59 - 15 * q^60 - 63 * q^61 + 99 * q^62 - 33 * q^63 + 18 * q^64 - 102 * q^65 + 63 * q^66 - 3 * q^67 + 144 * q^68 - 108 * q^69 - 15 * q^70 + 18 * q^71 + 15 * q^72 - 33 * q^74 - 9 * q^75 - 36 * q^76 - 57 * q^77 + 66 * q^78 - 21 * q^79 - 72 * q^80 + 57 * q^81 - 18 * q^82 + 90 * q^83 + 51 * q^84 + 9 * q^85 - 33 * q^86 - 9 * q^87 + 45 * q^88 - 9 * q^89 - 81 * q^90 - 21 * q^91 + 150 * q^92 - 87 * q^93 - 9 * q^94 + 27 * q^95 - 9 * q^96 - 180 * q^98 + 96 * q^99

Character values

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

$n$	$29$	$136$
$\chi(n)$	$e\left(\frac{7}{18}\right)$	$e\left(\frac{5}{6}\right)$

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 $

$2$	−0.910598	−	0.160563i	−0.643890	−	0.113535i	−0.157838	−	0.987465i	$-0.550452\pi$
$2$	−0.910598	−	0.160563i	−0.643890	−	0.113535i	−0.486052	+	0.873930i	$0.661564\pi$
$3$	−1.05237	−	1.37569i	−0.607585	−	0.794255i
$3$	−1.05237	−	1.37569i	−0.607585	−	0.794255i
$4$	−1.07598	−	0.391623i	−0.537988	−	0.195812i
$5$	−0.473927	−	0.172495i	−0.211947	−	0.0771423i	0.233865	−	0.972269i	$-0.424863\pi$
$5$	−0.473927	−	0.172495i	−0.211947	−	0.0771423i	−0.445812	+	0.895127i	$0.647085\pi$
$6$	0.737399	+	1.42167i	0.301042	+	0.580395i
$7$	−2.46079	+	0.971863i	−0.930091	+	0.367330i
$7$	−2.46079	+	0.971863i	−0.930091	+	0.367330i
$8$	2.51844	+	1.45402i	0.890401	+	0.514073i
$9$	−0.785044	+	2.89546i	−0.261681	+	0.965154i
$10$	0.403861	+	0.233169i	0.127712	+	0.0737346i
$11$	1.66156	+	4.56510i	0.500979	+	1.37643i	0.890320	+	0.455335i	$0.150481\pi$
$11$	1.66156	+	4.56510i	0.500979	+	1.37643i	−0.389341	+	0.921094i	$0.627297\pi$
$12$	0.593571	+	1.89234i	0.171349	+	0.546272i
$13$	1.60911	−	4.42100i	0.446287	−	1.22616i	−0.489003	−	0.872282i	$-0.662639\pi$
$13$	1.60911	−	4.42100i	0.446287	−	1.22616i	0.935290	−	0.353882i	$-0.115138\pi$
$14$	2.39684	−	0.489865i	0.640581	−	0.130922i
$15$	0.261446	+	0.833505i	0.0675050	+	0.215210i
$16$	−0.305533	−	0.256373i	−0.0763833	−	0.0640932i
$17$	−2.38696	+	4.13434i	−0.578923	+	1.00272i	0.416680	+	0.909053i	$0.363194\pi$
$17$	−2.38696	+	4.13434i	−0.578923	+	1.00272i	−0.995603	+	0.0936714i	$0.970140\pi$
$18$	1.17976	−	2.51055i	0.278073	−	0.591743i
$19$	−5.51758	+	3.18557i	−1.26582	+	0.730821i	−0.974194	−	0.225712i	$-0.927529\pi$
$19$	−5.51758	+	3.18557i	−1.26582	+	0.730821i	−0.291625	+	0.956533i	$0.594196\pi$
$20$	0.442381	+	0.371202i	0.0989195	+	0.0830033i
$21$	3.92664	+	2.36252i	0.856862	+	0.515545i
$22$	−0.780028	−	4.42376i	−0.166302	−	0.943148i
$23$	−3.53298	+	0.622960i	−0.736677	+	0.129896i	−0.529383	−	0.848383i	$-0.677577\pi$
$23$	−3.53298	+	0.622960i	−0.736677	+	0.129896i	−0.207294	+	0.978279i	$0.566466\pi$
$24$	−0.650041	−	4.99475i	−0.132689	−	1.01955i
$25$	−3.63537	−	3.05044i	−0.727074	−	0.610087i
$26$	−2.17510	+	3.76739i	−0.426573	+	0.738846i
$27$	4.80941	−	1.96711i	0.925572	−	0.378571i
$28$	3.02836	−	0.0819996i	0.572305	−	0.0154965i
$29$	0.997075	+	2.73944i	0.185152	+	0.508701i	0.997191	−	0.0749022i	$-0.0238645\pi$
$29$	0.997075	+	2.73944i	0.185152	+	0.508701i	−0.812039	+	0.583604i	$0.801642\pi$
$30$	−0.104242	−	0.800967i	−0.0190319	−	0.146236i
$31$	−0.268468	+	0.737610i	−0.0482183	+	0.132479i	−0.961464	−	0.274930i	$-0.911345\pi$
$31$	−0.268468	+	0.737610i	−0.0482183	+	0.132479i	0.913246	+	0.407409i	$0.133568\pi$
$32$	−3.50145	−	4.17286i	−0.618975	−	0.737665i
$33$	4.53159	−	7.08995i	0.788848	−	1.23420i
$34$	2.83739	−	3.38147i	0.486608	−	0.579916i
$35$	1.33388	−	0.0361178i	0.225466	−	0.00610501i
$36$	1.97862	−	2.80801i	0.329770	−	0.468001i
$37$	−5.47451			−0.900004			−0.450002	−	0.893028i	$-0.648577\pi$
$37$	−5.47451			−0.900004			−0.450002	+	0.893028i	$0.648577\pi$
$38$	5.53578	−	2.01486i	0.898022	−	0.326853i
$39$	−7.77529	+	2.43888i	−1.24504	+	0.390533i
$40$	−0.942744	−	1.12352i	−0.149061	−	0.177644i
$41$	−5.44849	−	1.98309i	−0.850912	−	0.309707i	−0.120500	−	0.992713i	$-0.538450\pi$
$41$	−5.44849	−	1.98309i	−0.850912	−	0.309707i	−0.730412	+	0.683007i	$0.760672\pi$
$42$	−3.19626	−	2.78178i	−0.493193	−	0.429238i
$43$	−1.36729	+	7.75429i	−0.208510	+	1.18252i	0.683310	+	0.730128i	$0.260540\pi$
$43$	−1.36729	+	7.75429i	−0.208510	+	1.18252i	−0.891820	+	0.452390i	$0.850571\pi$
$44$		−	5.56264i		−	0.838600i
$45$	0.871508	−	1.23682i	0.129917	−	0.184375i
$46$	3.31715			0.489087
$47$	7.22256	−	2.62880i	1.05352	−	0.383449i	0.243529	−	0.969894i	$-0.421695\pi$
$47$	7.22256	−	2.62880i	1.05352	−	0.383449i	0.809989	+	0.586445i	$0.199473\pi$
$48$	−0.0311561	+	0.690117i	−0.00449700	+	0.0996099i
$49$	5.11096	−	4.78310i	0.730138	−	0.683300i
$50$	2.82057	+	3.36143i	0.398889	+	0.475378i
$51$	8.19953	−	1.06713i	1.14816	−	0.149428i
$52$	−3.46273	+	4.12672i	−0.480194	+	0.572273i
$53$	4.26125	−	2.46023i	0.585328	−	0.337939i	−0.177920	−	0.984045i	$-0.556937\pi$
$53$	4.26125	−	2.46023i	0.585328	−	0.337939i	0.763248	+	0.646106i	$0.223604\pi$
$54$	−4.69529	+	1.01904i	−0.638948	+	0.138673i
$55$		−	2.45014i		−	0.330376i
$56$	−7.61045	−	1.13046i	−1.01699	−	0.151064i
$57$	10.1889	+	4.23808i	1.34955	+	0.561347i
$58$	−0.468082	−	2.65462i	−0.0614621	−	0.348569i
$59$	−4.08557	+	3.42820i	−0.531896	+	0.446313i	−0.868755	−	0.495241i	$-0.835080\pi$
$59$	−4.08557	+	3.42820i	−0.531896	+	0.446313i	0.336860	+	0.941555i	$0.390635\pi$
$60$	0.0451109	−	0.999221i	0.00582380	−	0.128999i
$61$	−2.45624	−	6.74846i	−0.314489	−	0.864052i	−0.991736	−	0.128296i	$-0.959049\pi$
$61$	−2.45624	−	6.74846i	−0.314489	−	0.864052i	0.677247	−	0.735756i	$-0.263173\pi$
$62$	0.362900	−	0.628561i	0.0460883	−	0.0798273i
$63$	−0.882166	−	7.88808i	−0.111143	−	0.993804i
$64$	2.91725	+	5.05283i	0.364656	+	0.631603i
$65$	−1.52520	+	1.81767i	−0.189178	+	0.225454i
$66$	−5.26484	+	5.72849i	−0.648057	+	0.705129i
$67$	1.51964	+	8.61830i	0.185653	+	1.05289i	0.925113	+	0.379692i	$0.123970\pi$
$67$	1.51964	+	8.61830i	0.185653	+	1.05289i	−0.739460	+	0.673201i	$0.764919\pi$
$68$	4.18742	−	3.51366i	0.507799	−	0.426094i
$69$	4.57499	+	4.20470i	0.550764	+	0.506187i
$70$	−1.22043	−	0.181283i	−0.145869	−	0.0216674i
$71$	−11.3110	+	6.53043i	−1.34237	+	0.775019i	−0.987155	−	0.159764i	$-0.948927\pi$
$71$	−11.3110	+	6.53043i	−1.34237	+	0.775019i	−0.355217	+	0.934784i	$0.615593\pi$
$72$	−6.18714	+	6.15057i	−0.729162	+	0.724851i
$73$		−	9.73306i		−	1.13917i	−0.821933	−	0.569584i	$-0.807104\pi$
$73$		−	9.73306i		−	1.13917i	0.821933	−	0.569584i	$-0.192896\pi$
$74$	4.98508	+	0.879004i	0.579504	+	0.102182i
$75$	−0.370709	+	8.21132i	−0.0428058	+	0.948162i
$76$	7.18433	−	1.26679i	0.824099	−	0.145311i
$77$	−8.52540	−	9.61893i	−0.971560	−	1.09618i
$78$	7.47176	−	0.972412i	0.846011	−	0.110104i
$79$	−0.825069	+	4.67920i	−0.0928275	+	0.526451i	0.902564	+	0.430556i	$0.141682\pi$
$79$	−0.825069	+	4.67920i	−0.0928275	+	0.526451i	−0.995391	+	0.0958952i	$0.969429\pi$
$80$	0.100577	+	0.174205i	0.0112449	+	0.0194767i
$81$	−7.76741	−	4.54613i	−0.863046	−	0.505126i
$82$	4.64298	+	2.68063i	0.512731	+	0.296026i
$83$	−2.75845	+	1.00400i	−0.302780	+	0.110203i	−0.488942	−	0.872316i	$-0.662617\pi$
$83$	−2.75845	+	1.00400i	−0.302780	+	0.110203i	0.186163	+	0.982519i	$0.440395\pi$
$84$	−3.29975	−	4.07978i	−0.360032	−	0.445141i
$85$	1.84440	−	1.54764i	0.200053	−	0.167865i
$86$	2.49011	−	6.84151i	0.268515	−	0.737739i
$87$	2.71933	−	4.25456i	0.291543	−	0.456137i
$88$	−2.45321	+	13.9128i	−0.261513	+	1.48311i
$89$	5.60470	+	9.70762i	0.594097	+	1.02901i	0.993674	+	0.112306i	$0.0358236\pi$
$89$	5.60470	+	9.70762i	0.594097	+	1.02901i	−0.399577	+	0.916700i	$0.630843\pi$
$90$	−0.992182	+	0.986316i	−0.104585	+	0.103967i
$91$	0.336922	+	12.4430i	0.0353190	+	1.30438i
$92$	4.04537	+	0.713308i	0.421759	+	0.0743675i
$93$	1.29725	−	0.406908i	0.134519	−	0.0421944i
$94$	−6.99893	+	1.23410i	−0.721885	+	0.127288i
$95$	3.16443	−	0.557974i	0.324663	−	0.0572469i
$96$	−2.05575	+	9.20829i	−0.209815	+	0.939818i
$97$	2.41733	+	0.426241i	0.245443	+	0.0432783i	0.295016	−	0.955492i	$-0.404675\pi$
$97$	2.41733	+	0.426241i	0.245443	+	0.0432783i	−0.0495730	+	0.998771i	$0.515786\pi$
$98$	−5.42202	+	3.53485i	−0.547707	+	0.357074i
$99$	−14.5225	+	1.22718i	−1.45956	+	0.123336i
$100$	2.71695	+	4.70589i	0.271695	+	0.470589i
$101$	−1.05002	+	5.95496i	−0.104481	+	0.592540i	0.886946	+	0.461874i	$0.152823\pi$
$101$	−1.05002	+	5.95496i	−0.104481	+	0.592540i	−0.991426	+	0.130666i	$0.958288\pi$
$102$	−7.63782	−	0.344818i	−0.756257	−	0.0341421i
$103$	3.34509	−	9.19055i	0.329601	−	0.905572i	−0.658611	−	0.752483i	$-0.728856\pi$
$103$	3.34509	−	9.19055i	0.329601	−	0.905572i	0.988212	−	0.153089i	$-0.0489220\pi$
$104$	10.4807	−	8.79431i	1.02771	−	0.862354i
$105$	−1.45342	−	1.79699i	−0.141839	−	0.175368i
$106$	−4.27531	+	1.55609i	−0.415255	+	0.151140i
$107$	−13.9175	−	8.03528i	−1.34546	−	0.776800i	−0.357855	−	0.933777i	$-0.616492\pi$
$107$	−13.9175	−	8.03528i	−1.34546	−	0.776800i	−0.987602	+	0.156977i	$0.949825\pi$
$108$	−5.94518	+	0.233090i	−0.572076	+	0.0224291i
$109$	7.22285	+	12.5103i	0.691823	+	1.19827i	0.971240	+	0.238103i	$0.0765256\pi$
$109$	7.22285	+	12.5103i	0.691823	+	1.19827i	−0.279417	+	0.960170i	$0.590141\pi$
$110$	−0.393401	+	2.23109i	−0.0375093	+	0.212726i
$111$	5.76120	+	7.53123i	0.546829	+	0.714833i
$112$	1.00101	+	0.333943i	0.0945867	+	0.0315546i
$113$	−1.50934	+	0.266138i	−0.141987	+	0.0250361i	−0.244190	−	0.969727i	$-0.578522\pi$
$113$	−1.50934	+	0.266138i	−0.141987	+	0.0250361i	0.102203	+	0.994764i	$0.467411\pi$
$114$	−8.59750	−	5.49515i	−0.805230	−	0.514667i
$115$	1.78183	+	0.314185i	0.166157	+	0.0292979i
$116$		−	3.33805i		−	0.309930i
$117$	11.5376	+	8.12980i	1.06665	+	0.751600i
$118$	4.27075	−	2.46572i	0.393155	−	0.226988i
$119$	1.85580	−	12.4935i	0.170121	−	1.14528i
$120$	−0.553499	+	2.47928i	−0.0505273	+	0.226326i
$121$	−9.65286	+	8.09971i	−0.877532	+	0.736337i
$122$	1.15309	+	6.53952i	0.104396	+	0.592060i
$123$	3.00570	+	9.58238i	0.271015	+	0.864014i
$124$	0.577731	−	0.688513i	0.0518818	−	0.0618303i
$125$	2.45757	+	4.25664i	0.219812	+	0.380725i
$126$	−0.463235	+	7.32451i	−0.0412682	+	0.652520i
$127$	5.33708	−	9.24410i	0.473590	−	0.820281i	−0.525953	−	0.850513i	$-0.676291\pi$
$127$	5.33708	−	9.24410i	0.473590	−	0.820281i	0.999543	+	0.0302322i	$0.00962466\pi$
$128$	1.88102	+	5.16805i	0.166260	+	0.456796i
$129$	12.1064	−	6.27940i	1.06591	−	0.552870i
$130$	1.68070	−	1.41027i	0.147407	−	0.123689i
$131$	−1.59928	−	9.06999i	−0.139730	−	0.792449i	−0.971448	−	0.237251i	$-0.923754\pi$
$131$	−1.59928	−	9.06999i	−0.139730	−	0.792449i	0.831718	−	0.555198i	$-0.187357\pi$
$132$	−7.65247	+	5.85395i	−0.666062	+	0.509521i
$133$	10.4816	−	13.2014i	0.908874	−	1.14470i
$134$		−	8.09180i		−	0.699025i
$135$	−2.61863	+	0.102667i	−0.225376	+	0.00883621i
$136$	−12.0228	+	6.94138i	−1.03095	+	0.595218i
$137$	9.57049	−	11.4057i	0.817663	−	0.974452i	−0.182299	−	0.983243i	$-0.558354\pi$
$137$	9.57049	−	11.4057i	0.817663	−	0.974452i	0.999961	+	0.00879090i	$0.00279827\pi$
$138$	−3.49086	−	4.56337i	−0.297162	−	0.388460i
$139$	−6.89067	−	8.21198i	−0.584459	−	0.696531i	0.390072	−	0.920784i	$-0.372450\pi$
$139$	−6.89067	−	8.21198i	−0.584459	−	0.696531i	−0.974531	+	0.224254i	$0.928006\pi$
$140$	−1.44936	−	0.483516i	−0.122494	−	0.0408645i
$141$	−11.2172	−	7.16954i	−0.944658	−	0.603784i
$142$	11.3484	−	4.13046i	0.952333	−	0.346621i
$143$	22.8559			1.91131
$144$	0.982175	−	0.683396i	0.0818479	−	0.0569497i
$145$		−	1.47029i		−	0.122101i
$146$	−1.56277	+	8.86290i	−0.129336	+	0.733499i
$147$	−11.9587	−	1.99752i	−0.986335	−	0.164753i
$148$	5.89045	+	2.14395i	0.484192	+	0.176231i
$149$	1.37019	+	1.63293i	0.112250	+	0.133775i	0.819244	−	0.573445i	$-0.194394\pi$
$149$	1.37019	+	1.63293i	0.112250	+	0.133775i	−0.706994	+	0.707220i	$0.749949\pi$
$150$	1.65600	−	7.41769i	0.135212	−	0.605652i
$151$	−6.24885	+	2.27439i	−0.508524	+	0.185088i	−0.583524	−	0.812096i	$-0.698327\pi$
$151$	−6.24885	+	2.27439i	−0.508524	+	0.185088i	0.0750000	+	0.997184i	$0.476104\pi$
$152$	−18.5276			−1.50278
$153$	−10.0970	−	10.1570i	−0.816291	−	0.821145i
$154$	6.21877	+	10.1278i	0.501123	+	0.816125i
$155$	0.254469	−	0.303264i	0.0204394	−	0.0243588i
$156$	9.32116	+	0.420814i	0.746290	+	0.0336921i
$157$	−0.380802	−	0.453822i	−0.0303913	−	0.0362189i	0.750635	−	0.660717i	$-0.229748\pi$
$157$	−0.380802	−	0.453822i	−0.0303913	−	0.0362189i	−0.781026	+	0.624499i	$0.785303\pi$
$158$	1.50261	−	4.12840i	0.119541	−	0.328438i
$159$	−7.86892	−	3.27309i	−0.624046	−	0.259573i
$160$	0.939632	+	2.58162i	0.0742844	+	0.204095i
$161$	8.08848	−	4.96655i	0.637462	−	0.391419i
$162$	6.34305	+	5.38686i	0.498357	+	0.423232i
$163$	9.38783	−	16.2602i	0.735311	−	1.27360i	−0.219275	−	0.975663i	$-0.570369\pi$
$163$	9.38783	−	16.2602i	0.735311	−	1.27360i	0.954587	−	0.297934i	$-0.0962975\pi$
$164$	5.08583	+	4.26752i	0.397136	+	0.333237i
$165$	−3.37063	+	2.57844i	−0.262403	+	0.200732i
$166$	2.67305	−	0.471331i	0.207469	−	0.0365823i
$167$	2.39928	+	13.6070i	0.185662	+	1.05294i	0.925102	+	0.379718i	$0.123979\pi$
$167$	2.39928	+	13.6070i	0.185662	+	1.05294i	−0.739441	+	0.673221i	$0.764910\pi$
$168$	6.45383	+	11.6593i	0.497924	+	0.899532i
$169$	−6.99739	−	5.87151i	−0.538261	−	0.451654i
$170$	−1.92800	+	1.11313i	−0.147871	+	0.0853734i
$171$	−4.89217	−	18.4768i	−0.374114	−	1.41295i
$172$	4.50794	−	7.80797i	0.343727	−	0.595352i
$173$	3.37313	+	2.83039i	0.256454	+	0.215191i	0.761946	−	0.647641i	$-0.224244\pi$
$173$	3.37313	+	2.83039i	0.256454	+	0.215191i	−0.505491	+	0.862832i	$0.668689\pi$
$174$	−3.15934	+	3.43757i	−0.239509	+	0.260602i
$175$	11.9105	+	3.97340i	0.900348	+	0.300361i
$176$	0.662705	−	1.82077i	0.0499533	−	0.137246i
$177$	9.01566	+	2.01275i	0.677658	+	0.151287i
$178$	−3.54494	−	9.73965i	−0.265705	−	0.730017i
$179$	−2.60964	−	1.50667i	−0.195053	−	0.112614i	0.399293	−	0.916823i	$-0.369256\pi$
$179$	−2.60964	−	1.50667i	−0.195053	−	0.112614i	−0.594346	+	0.804209i	$0.702589\pi$
$180$	−1.42209	+	0.989489i	−0.105996	+	0.0737521i
$181$	−1.98157	−	1.14406i	−0.147289	−	0.0850373i	0.424544	−	0.905407i	$-0.360434\pi$
$181$	−1.98157	−	1.14406i	−0.147289	−	0.0850373i	−0.571833	+	0.820370i	$0.693768\pi$
$182$	1.69108	−	11.3846i	0.125351	−	0.843886i
$183$	−6.69892	+	10.4809i	−0.495198	+	0.774769i
$184$	−9.80338	−	3.56814i	−0.722715	−	0.263047i
$185$	2.59452	+	0.944328i	0.190753	+	0.0694284i
$186$	−1.24661	+	0.162240i	−0.0914057	+	0.0118960i
$187$	−22.8398	−	4.02726i	−1.67021	−	0.294503i
$188$	−8.80080			−0.641864
$189$	−9.92318	+	9.51475i	−0.721805	+	0.692096i
$190$	−2.97111			−0.215547
$191$	12.9505	+	2.28352i	0.937063	+	0.165229i	0.621268	−	0.783598i	$-0.286618\pi$
$191$	12.9505	+	2.28352i	0.937063	+	0.165229i	0.315795	+	0.948828i	$0.397729\pi$
$192$	3.88110	−	9.33066i	0.280094	−	0.673383i
$193$	0.0352236	+	0.0128203i	0.00253545	+	0.000922827i	0.343288	−	0.939230i	$-0.388459\pi$
$193$	0.0352236	+	0.0128203i	0.00253545	+	0.000922827i	−0.340752	+	0.940153i	$0.610682\pi$
$194$	−2.13278	−	0.776269i	−0.153125	−	0.0557329i
$195$	4.10562	+	0.185353i	0.294010	+	0.0132734i
$196$	−7.37245	+	3.14493i	−0.526604	+	0.224638i
$197$	−4.43094	−	2.55821i	−0.315692	−	0.182265i	0.333779	−	0.942651i	$-0.391676\pi$
$197$	−4.43094	−	2.55821i	−0.315692	−	0.182265i	−0.649471	+	0.760387i	$0.725009\pi$
$198$	13.4212	+	1.21430i	0.953802	+	0.0862968i
$199$	5.34761	+	3.08744i	0.379082	+	0.218863i	0.677419	−	0.735598i	$-0.263099\pi$
$199$	5.34761	+	3.08744i	0.379082	+	0.218863i	−0.298337	+	0.954461i	$0.596432\pi$
$200$	−4.72005	−	12.9682i	−0.333758	−	0.916992i
$201$	10.2569	−	11.1602i	0.723465	−	0.787178i
$202$	1.91229	−	5.25398i	0.134548	−	0.369669i
$203$	−5.11595	−	5.77216i	−0.359069	−	0.405126i
$204$	−9.24041	−	2.06293i	−0.646958	−	0.144434i
$205$	2.24012	+	1.87968i	0.156457	+	0.131283i
$206$	−4.52169	+	7.83180i	−0.315041	+	0.545668i
$207$	0.969789	−	10.7187i	0.0674050	−	0.744999i
$208$	−1.62506	+	0.938229i	−0.112678	+	0.0650545i
$209$	−23.7103	−	19.8953i	−1.64007	−	1.37618i
$210$	1.03495	+	1.86970i	0.0714182	+	0.129022i
$211$	0.583521	+	3.30931i	0.0401712	+	0.227822i	0.998283	−	0.0585715i	$-0.0186546\pi$
$211$	0.583521	+	3.30931i	0.0401712	+	0.227822i	−0.958112	+	0.286394i	$0.907543\pi$
$212$	−5.54849	+	0.978349i	−0.381072	+	0.0671933i
$213$	20.8872	+	8.68806i	1.43117	+	0.595296i
$214$	11.3831	+	9.55155i	0.778133	+	0.652931i
$215$	1.98558	−	3.43912i	0.135415	−	0.234546i
$216$	14.9724	+	2.03893i	1.01874	+	0.138732i
$217$	−0.0562129	−	2.07602i	−0.00381598	−	0.140929i
$218$	−4.56841	−	12.5516i	−0.309412	−	0.850103i
$219$	−13.3897	+	10.2428i	−0.904790	+	0.692141i
$220$	−0.959531	+	2.63629i	−0.0646915	+	0.177739i
$221$	14.4370	+	17.2054i	0.971139	+	1.15736i
$222$	−4.03690	−	7.78296i	−0.270939	−	0.522358i
$223$	4.25268	−	5.06814i	0.284780	−	0.339388i	−0.604623	−	0.796512i	$-0.706676\pi$
$223$	4.25268	−	5.06814i	0.284780	−	0.339388i	0.889403	+	0.457124i	$0.151120\pi$
$224$	12.6718	+	6.86561i	0.846669	+	0.458728i
$225$	11.6864	−	8.13135i	0.779090	−	0.542090i
$226$	1.41714			0.0942665
$227$	−9.85012	+	3.58515i	−0.653775	+	0.237955i	−0.647547	−	0.762026i	$-0.724205\pi$
$227$	−9.85012	+	3.58515i	−0.653775	+	0.237955i	−0.00622869	+	0.999981i	$0.501983\pi$
$228$	−9.30327	−	8.55028i	−0.616124	−	0.566256i
$229$	11.2293	+	13.3825i	0.742052	+	0.884343i	0.996572	−	0.0827244i	$-0.0263621\pi$
$229$	11.2293	+	13.3825i	0.742052	+	0.884343i	−0.254521	+	0.967067i	$0.581918\pi$
$230$	−1.57209	−	0.572193i	−0.103660	−	0.0377293i
$231$	−4.26081	+	21.8510i	−0.280341	+	1.43769i
$232$	−1.47213	+	8.34887i	−0.0966501	+	0.548130i
$233$			10.2714i			0.672900i	0.941701	+	0.336450i	$0.109226\pi$
$233$			10.2714i			0.672900i	−0.941701	+	0.336450i	$0.890774\pi$
$234$	−9.20078	−	9.25549i	−0.601474	−	0.605051i
$235$	−3.87642			−0.252870
$236$	5.73854	−	2.08866i	0.373547	−	0.135960i
$237$	7.30540	−	3.78920i	0.474537	−	0.246135i
$238$	−3.69589	+	11.0786i	−0.239569	+	0.718120i
$239$	14.4600	+	17.2328i	0.935342	+	1.11470i	0.993206	+	0.116372i	$0.0371266\pi$
$239$	14.4600	+	17.2328i	0.935342	+	1.11470i	−0.0578640	+	0.998324i	$0.518429\pi$
$240$	0.133808	−	0.321691i	0.00863726	−	0.0207651i
$241$	5.50391	−	6.55931i	0.354538	−	0.422522i	−0.559068	−	0.829121i	$-0.688841\pi$
$241$	5.50391	−	6.55931i	0.354538	−	0.422522i	0.913606	+	0.406600i	$0.133286\pi$
$242$	10.0904	−	5.82569i	0.648635	−	0.374489i
$243$	1.92011	+	15.4698i	0.123175	+	0.992385i
$244$			8.22310i			0.526430i
$245$	−3.24729	+	1.38522i	−0.207462	+	0.0884987i
$246$	−1.19841	−	9.20830i	−0.0764080	−	0.587100i
$247$	5.20502	+	29.5191i	0.331187	+	1.87826i
$248$	−1.74862	+	1.46727i	−0.111037	+	0.0931715i
$249$	4.28409	+	2.73820i	0.271493	+	0.173527i
$250$	−1.55440	−	4.27068i	−0.0983090	−	0.270102i
$251$	−8.90861	+	15.4302i	−0.562307	+	0.973943i	0.434988	+	0.900436i	$0.356753\pi$
$251$	−8.90861	+	15.4302i	−0.562307	+	0.973943i	−0.997295	+	0.0735073i	$0.976581\pi$
$252$	−2.13997	+	8.83286i	−0.134805	+	0.556418i
$253$	−8.71413	−	15.0933i	−0.547853	−	0.948909i
$254$	−6.34420	+	7.56072i	−0.398071	+	0.474402i
$255$	−4.07006	−	0.908641i	−0.254877	−	0.0569013i
$256$	−2.90935	−	16.4998i	−0.181835	−	1.03124i
$257$	−18.3114	+	15.3650i	−1.14223	+	0.958445i	−0.999509	−	0.0313176i	$-0.990030\pi$
$257$	−18.3114	+	15.3650i	−1.14223	+	0.958445i	−0.142721	+	0.989763i	$0.545585\pi$
$258$	−12.0323	+	3.77417i	−0.749098	+	0.234970i
$259$	13.4716	−	5.32048i	0.837086	−	0.330598i
$260$	2.35292	−	1.35846i	0.145922	−	0.0842482i
$261$	−8.71470	+	0.736411i	−0.539426	+	0.0455827i
$262$			8.51590i			0.526114i
$263$	−8.75677	−	1.54405i	−0.539965	−	0.0952104i	−0.102987	−	0.994683i	$-0.532840\pi$
$263$	−8.75677	−	1.54405i	−0.539965	−	0.0952104i	−0.436978	+	0.899472i	$0.643951\pi$
$264$	21.7214	−	11.2666i	1.33686	−	0.693410i
$265$	−2.44390	+	0.430926i	−0.150128	+	0.0264716i
$266$	−11.6642	+	10.3382i	−0.715179	+	0.633874i
$267$	7.45647	−	17.9263i	0.456328	−	1.09707i
$268$	1.74003	−	9.86821i	0.106289	−	0.602797i
$269$	−0.579284	−	1.00335i	−0.0353195	−	0.0611752i	0.847825	−	0.530276i	$-0.177912\pi$
$269$	−0.579284	−	1.00335i	−0.0353195	−	0.0611752i	−0.883145	+	0.469100i	$0.844578\pi$
$270$	2.40101	+	0.326966i	0.146121	+	0.0198985i
$271$	−22.8894	−	13.2152i	−1.39043	−	0.802766i	−0.397069	−	0.917789i	$-0.629973\pi$
$271$	−22.8894	−	13.2152i	−1.39043	−	0.802766i	−0.993363	+	0.115023i	$0.963306\pi$
$272$	1.78923	−	0.651226i	0.108488	−	0.0394864i
$273$	16.7631	−	13.5581i	1.01455	−	0.820573i
$274$	−10.5462	+	8.84932i	−0.637120	+	0.534607i
$275$	7.88516	−	21.6643i	0.475493	−	1.30641i
$276$	−3.27593	−	6.31583i	−0.197188	−	0.380169i
$277$	−1.90615	+	10.8103i	−0.114529	+	0.649529i	0.872453	+	0.488699i	$0.162528\pi$
$277$	−1.90615	+	10.8103i	−0.114529	+	0.649529i	−0.986982	+	0.160830i	$0.948583\pi$
$278$	4.95609	+	8.58420i	0.297246	+	0.514846i
$279$	−1.92496	−	1.35640i	−0.115245	−	0.0812053i
$280$	3.41180	+	1.84852i	0.203894	+	0.110470i
$281$	0.726106	+	0.128032i	0.0433159	+	0.00763776i	0.195264	−	0.980751i	$-0.437444\pi$
$281$	0.726106	+	0.128032i	0.0433159	+	0.00763776i	−0.151948	+	0.988388i	$0.548555\pi$
$282$	9.06319	+	8.32963i	0.539705	+	0.496022i
$283$	−9.06936	+	1.59917i	−0.539117	+	0.0950609i	−0.436575	−	0.899668i	$-0.643809\pi$
$283$	−9.06936	+	1.59917i	−0.539117	+	0.0950609i	−0.102542	+	0.994729i	$0.532698\pi$
$284$	14.7279	−	2.59692i	0.873939	−	0.154099i
$285$	−4.09774	−	3.76608i	−0.242729	−	0.223083i
$286$	−20.8126	−	3.66982i	−1.23067	−	0.217001i
$287$	15.3349	−	0.415227i	0.905190	−	0.0245101i
$288$	14.8312	−	6.86243i	0.873935	−	0.404373i
$289$	−2.89518	−	5.01460i	−0.170305	−	0.294976i
$290$	−0.236074	+	1.33884i	−0.0138627	+	0.0786194i
$291$	−1.95755	−	3.77407i	−0.114754	−	0.221240i
$292$	−3.81169	+	10.4725i	−0.223062	+	0.612859i
$293$	−17.3436	+	14.5530i	−1.01322	+	0.850196i	−0.988761	−	0.149505i	$-0.952232\pi$
$293$	−17.3436	+	14.5530i	−1.01322	+	0.850196i	−0.0244632	+	0.999701i	$0.507788\pi$
$294$	10.5688	+	3.73906i	0.616386	+	0.218066i
$295$	2.52761	−	0.919975i	0.147163	−	0.0535630i
$296$	−13.7872	−	7.96005i	−0.801365	−	0.462668i
$297$	16.9712	+	18.6870i	0.984769	+	1.08433i
$298$	−0.985503	−	1.70694i	−0.0570887	−	0.0988805i
$299$	−2.93085	+	16.6217i	−0.169496	+	0.961258i
$300$	3.61462	−	8.69001i	0.208690	−	0.501718i
$301$	−4.17150	−	20.4105i	−0.240441	−	1.17644i
$302$	6.05537	−	1.06773i	0.348448	−	0.0614407i
$303$	9.29718	−	4.82230i	0.534109	−	0.277034i
$304$	2.50250	+	0.441258i	0.143528	+	0.0253079i
$305$			3.62197i			0.207393i
$306$	7.56343	+	10.8701i	0.432373	+	0.621405i
$307$	−18.3264	+	10.5807i	−1.04594	+	0.603875i	−0.921511	−	0.388353i	$-0.873044\pi$
$307$	−18.3264	+	10.5807i	−1.04594	+	0.603875i	−0.124432	+	0.992228i	$0.539711\pi$
$308$	5.40613	+	13.6885i	0.308043	+	0.779974i
$309$	−16.1636	+	5.07004i	−0.919516	+	0.288424i
$310$	−0.280412	+	0.235293i	−0.0159263	+	0.0133638i
$311$	−1.43987	−	8.16591i	−0.0816476	−	0.463046i	−0.998030	−	0.0627420i	$-0.980015\pi$
$311$	−1.43987	−	8.16591i	−0.0816476	−	0.463046i	0.916382	−	0.400304i	$-0.131096\pi$
$312$	−23.1278	−	5.16328i	−1.30935	−	0.292313i
$313$	18.3841	−	21.9093i	1.03913	−	1.23839i	0.0685426	−	0.997648i	$-0.478165\pi$
$313$	18.3841	−	21.9093i	1.03913	−	1.23839i	0.970589	−	0.240741i	$-0.0773904\pi$
$314$	0.273890	+	0.474392i	0.0154565	+	0.0267715i
$315$	−0.942575	+	3.89055i	−0.0531081	+	0.219207i
$316$	2.72024	−	4.71159i	0.153025	−	0.265048i
$317$	6.91030	+	18.9859i	0.388121	+	1.06635i	0.967846	+	0.251542i	$0.0809377\pi$
$317$	6.91030	+	18.9859i	0.388121	+	1.06635i	−0.579725	+	0.814812i	$0.696840\pi$
$318$	6.63989	+	4.24393i	0.372347	+	0.237988i
$319$	−10.8491	+	9.10349i	−0.607434	+	0.509698i
$320$	−0.510975	−	2.89788i	−0.0285644	−	0.161997i
$321$	3.59229	+	27.6023i	0.200502	+	1.54061i
$322$	−8.16280	+	3.22382i	−0.454895	+	0.179656i
$323$		−	30.4154i		−	1.69236i
$324$	6.57718	+	7.93343i	0.365399	+	0.440746i
$325$	−19.3357	+	11.1635i	−1.07255	+	0.619238i
$326$	−11.1593	+	13.2992i	−0.618058	+	0.736573i
$327$	9.60925	−	23.1019i	0.531393	−	1.27754i
$328$	−10.8382	−	12.9165i	−0.598441	−	0.713194i
$329$	−15.2184	+	13.4882i	−0.839015	+	0.743631i
$330$	3.48329	−	1.80673i	0.191749	−	0.0994572i
$331$	14.0414	−	5.11066i	0.771786	−	0.280907i	0.0740427	−	0.997255i	$-0.476410\pi$
$331$	14.0414	−	5.11066i	0.771786	−	0.280907i	0.697743	+	0.716348i	$0.254188\pi$
$332$	3.36122			0.184471
$333$	4.29773	−	15.8512i	0.235514	−	0.868643i
$334$		−	12.7757i		−	0.699056i
$335$	0.766419	−	4.34658i	0.0418739	−	0.237479i
$336$	−0.594031	−	1.72851i	−0.0324071	−	0.0942981i
$337$	−10.4942	−	3.81956i	−0.571653	−	0.208065i	0.0399880	−	0.999200i	$-0.487268\pi$
$337$	−10.4942	−	3.81956i	−0.571653	−	0.208065i	−0.611641	+	0.791136i	$0.709490\pi$
$338$	5.42906	+	6.47011i	0.295302	+	0.351927i
$339$	1.95451	+	1.79631i	0.106154	+	0.0975623i
$340$	−2.59062	+	0.942910i	−0.140496	+	0.0511365i
$341$	−3.81334			−0.206504
$342$	1.48812	+	17.6104i	0.0804682	+	0.952262i
$343$	−7.92848	+	16.7374i	−0.428098	+	0.903732i
$344$	−14.7183	+	17.5406i	−0.793559	+	0.945727i
$345$	−1.44292	−	2.78189i	−0.0776843	−	0.149772i
$346$	−2.61711	−	3.11895i	−0.140697	−	0.167676i
$347$	−6.22372	+	17.0995i	−0.334107	+	0.917950i	0.652925	+	0.757423i	$0.273542\pi$
$347$	−6.22372	+	17.0995i	−0.334107	+	0.917950i	−0.987031	+	0.160528i	$0.948680\pi$
$348$	−4.59212	+	3.51286i	−0.246164	+	0.188309i
$349$	8.74024	+	24.0136i	0.467854	+	1.28542i	0.919454	+	0.393198i	$0.128631\pi$
$349$	8.74024	+	24.0136i	0.467854	+	1.28542i	−0.451599	+	0.892221i	$0.649146\pi$
$350$	−10.2077	−	5.53055i	−0.545624	−	0.295621i
$351$	−0.957726	−	24.4277i	−0.0511196	−	1.30385i
$352$	13.2317	−	22.9179i	0.705250	−	1.22153i
$353$	9.82463	+	8.24385i	0.522913	+	0.438776i	0.865646	−	0.500657i	$-0.166908\pi$
$353$	9.82463	+	8.24385i	0.522913	+	0.438776i	−0.342733	+	0.939433i	$0.611353\pi$
$354$	−7.88647	−	3.28039i	−0.419161	−	0.174351i
$355$	6.48708	−	1.14385i	0.344298	−	0.0607091i
$356$	−2.22879	−	12.6401i	−0.118126	−	0.669924i
$357$	−19.1402	+	10.5948i	−1.01301	+	0.560736i
$358$	2.13441	+	1.79099i	0.112807	+	0.0946565i
$359$	18.5666	−	10.7194i	0.979908	−	0.565750i	0.0776659	−	0.996979i	$-0.475253\pi$
$359$	18.5666	−	10.7194i	0.979908	−	0.565750i	0.902242	+	0.431229i	$0.141920\pi$
$360$	3.99320	−	1.84767i	0.210460	−	0.0973806i
$361$	10.7958	−	18.6988i	0.568199	−	0.984149i
$362$	1.62072	+	1.35995i	0.0851831	+	0.0714771i
$363$	21.3010	+	4.75546i	1.11801	+	0.249597i
$364$	4.51044	−	13.5203i	0.236411	−	0.708656i
$365$	−1.67891	+	4.61276i	−0.0878780	+	0.241443i
$366$	7.78287	−	8.46827i	0.406817	−	0.442644i
$367$	2.38366	+	6.54905i	0.124426	+	0.341858i	0.986229	−	0.165385i	$-0.0528868\pi$
$367$	2.38366	+	6.54905i	0.124426	+	0.341858i	−0.861803	+	0.507243i	$0.830665\pi$
$368$	1.23915	+	0.715425i	0.0645953	+	0.0372941i
$369$	10.0193	−	14.2191i	0.521582	−	0.740217i
$370$	−2.21094	−	1.27649i	−0.114941	−	0.0663614i
$371$	−8.09503	+	10.1955i	−0.420273	+	0.529322i
$372$	−1.55517	−	0.0702097i	−0.0806316	−	0.00364020i
$373$	10.8547	+	3.95079i	0.562035	+	0.204564i	0.607386	−	0.794407i	$-0.292218\pi$
$373$	10.8547	+	3.95079i	0.562035	+	0.204564i	−0.0453508	+	0.998971i	$0.514441\pi$
$374$	20.1512	+	7.33444i	1.04199	+	0.379255i
$375$	3.26955	−	7.86041i	0.168839	−	0.405910i
$376$	22.0119	+	3.88128i	1.13518	+	0.200162i
$377$	13.7155			0.706382
$378$	10.5638	−	7.07082i	0.543341	−	0.363684i
$379$	6.46443			0.332055			0.166028	−	0.986121i	$-0.446906\pi$
$379$	6.46443			0.332055			0.166028	+	0.986121i	$0.446906\pi$
$380$	−3.62337	−	0.638897i	−0.185875	−	0.0327747i
$381$	−18.3336	+	2.38602i	−0.939258	+	0.122240i
$382$	−11.4260	−	4.15873i	−0.584606	−	0.212779i
$383$	−2.18674	−	0.795907i	−0.111737	−	0.0406690i	0.285547	−	0.958365i	$-0.407825\pi$
$383$	−2.18674	−	0.795907i	−0.111737	−	0.0406690i	−0.397284	+	0.917696i	$0.630047\pi$
$384$	5.13012	−	8.02639i	0.261795	−	0.409595i
$385$	2.38120	+	6.02927i	0.121357	+	0.307280i
$386$	−0.0300160	−	0.0173298i	−0.00152778	−	0.000882062i
$387$	−21.3789	−	10.0464i	−1.08675	−	0.510687i
$388$	−2.43407	−	1.40531i	−0.123571	−	0.0713438i
$389$	−11.2737	−	30.9741i	−0.571597	−	1.57045i	−0.801980	−	0.597351i	$-0.796220\pi$
$389$	−11.2737	−	30.9741i	−0.571597	−	1.57045i	0.230383	−	0.973100i	$-0.426002\pi$
$390$	−3.70881	−	0.827993i	−0.187803	−	0.0419270i
$391$	5.85756	−	16.0935i	0.296230	−	0.813884i
$392$	19.8264	−	4.61449i	1.00138	−	0.233067i
$393$	−10.7945	+	11.7451i	−0.544508	+	0.592461i
$394$	3.62406	+	3.04094i	0.182577	+	0.153201i
$395$	1.19816	−	2.07528i	0.0602861	−	0.104419i
$396$	16.1064	+	4.36692i	0.809379	+	0.219446i
$397$	−21.9971	+	12.7000i	−1.10400	+	0.637397i	−0.937270	−	0.348605i	$-0.886656\pi$
$397$	−21.9971	+	12.7000i	−1.10400	+	0.637397i	−0.166734	+	0.986002i	$0.553322\pi$
$398$	−4.37379	−	3.67005i	−0.219238	−	0.183963i
$399$	−29.1915	−	0.526813i	−1.46140	−	0.0263736i
$400$	0.328677	+	1.86402i	0.0164339	+	0.0932010i
$401$	19.2008	−	3.38563i	0.958844	−	0.169070i	0.327740	−	0.944768i	$-0.393713\pi$
$401$	19.2008	−	3.38563i	0.958844	−	0.169070i	0.631104	+	0.775698i	$0.282602\pi$
$402$	−11.1318	+	8.51555i	−0.555204	+	0.424717i
$403$	2.82898	+	2.37379i	0.140921	+	0.118247i
$404$	3.46190	−	5.99618i	0.172236	−	0.298321i
$405$	2.89700	+	3.49438i	0.143953	+	0.173637i
$406$	3.73178	+	6.07756i	0.185205	+	0.301624i
$407$	−9.09623	−	24.9917i	−0.450883	−	1.23879i
$408$	22.2016	+	9.23479i	1.09914	+	0.457190i
$409$	−5.92119	+	16.2683i	−0.292784	+	0.804417i	0.702873	+	0.711316i	$0.251900\pi$
$409$	−5.92119	+	16.2683i	−0.292784	+	0.804417i	−0.995657	+	0.0931015i	$0.970322\pi$
$410$	−1.73804	−	2.07131i	−0.0858356	−	0.102295i
$411$	−25.7623	−	1.16307i	−1.27076	−	0.0573700i
$412$	−7.19847	+	8.57880i	−0.354643	+	0.422647i
$413$	6.72198	−	12.4067i	0.330767	−	0.610493i
$414$	−2.60411	+	9.60468i	−0.127985	+	0.472044i
$415$	1.48049			0.0726745
$416$	−24.0824	+	8.76529i	−1.18074	+	0.429754i
$417$	−4.04562	+	18.1214i	−0.198115	+	0.887411i
$418$	18.3961	+	21.9236i	0.899781	+	1.07232i
$419$	−3.08710	−	1.12361i	−0.150815	−	0.0548920i	0.265510	−	0.964108i	$-0.414460\pi$
$419$	−3.08710	−	1.12361i	−0.150815	−	0.0548920i	−0.416324	+	0.909216i	$0.636682\pi$
$420$	0.860097	+	2.50271i	0.0419685	+	0.122120i
$421$	−0.564741	+	3.20281i	−0.0275238	+	0.156095i	−0.995472	−	0.0950543i	$-0.969698\pi$
$421$	−0.564741	+	3.20281i	−0.0275238	+	0.156095i	0.967948	+	0.251150i	$0.0808086\pi$
$422$		−	3.10714i		−	0.151253i
$423$	1.94155	+	22.9764i	0.0944016	+	1.11715i
$424$	14.3089			0.694902
$425$	21.2890	−	7.74858i	1.03267	−	0.375861i
$426$	−17.6249	−	11.2650i	−0.853928	−	0.545793i
$427$	12.6029	+	14.2194i	0.609895	+	0.688125i
$428$	11.8281	+	14.0962i	0.571734	+	0.681366i
$429$	−24.0528	−	31.4426i	−1.16128	−	1.51807i
$430$	−2.36026	+	2.81285i	−0.113822	+	0.135648i
$431$	29.6610	−	17.1248i	1.42872	−	0.824872i	0.431700	−	0.902017i	$-0.357914\pi$
$431$	29.6610	−	17.1248i	1.42872	−	0.824872i	0.997020	+	0.0771457i	$0.0245807\pi$
$432$	−1.97375	−	0.631984i	−0.0949621	−	0.0304063i
$433$		−	27.4243i		−	1.31793i	−0.752174	−	0.658965i	$-0.770995\pi$
$433$		−	27.4243i		−	1.31793i	0.752174	−	0.658965i	$-0.229005\pi$
$434$	−0.282144	+	1.89944i	−0.0135434	+	0.0911762i
$435$	−2.02266	+	1.54728i	−0.0969790	+	0.0741865i
$436$	−2.87227	−	16.2895i	−0.137557	−	0.780124i
$437$	17.5090	−	14.6918i	0.837569	−	0.702804i
$438$	13.8372	−	7.17715i	0.661168	−	0.342937i
$439$	1.29268	+	3.55162i	0.0616964	+	0.169510i	0.966711	−	0.255871i	$-0.0823624\pi$
$439$	1.29268	+	3.55162i	0.0616964	+	0.169510i	−0.905014	+	0.425381i	$0.860140\pi$
$440$	3.56255	−	6.17051i	0.169838	−	0.294168i
$441$	9.83696	+	18.5536i	0.468427	+	0.883502i
$442$	−10.3838	−	17.9852i	−0.493906	−	0.855470i
$443$	−13.8797	+	16.5412i	−0.659444	+	0.785894i	−0.987306	−	0.158831i	$-0.949227\pi$
$443$	−13.8797	+	16.5412i	−0.659444	+	0.785894i	0.327862	+	0.944726i	$0.393672\pi$
$444$	−3.24951	−	10.3596i	−0.154215	−	0.491647i
$445$	−0.981699	−	5.56749i	−0.0465370	−	0.263924i
$446$	−4.68624	+	3.93222i	−0.221900	+	0.186196i
$447$	0.804458	−	3.60339i	0.0380496	−	0.170435i
$448$	−12.0894	−	9.59877i	−0.571170	−	0.453499i
$449$	−15.0109	+	8.66655i	−0.708408	+	0.409000i	−0.810471	−	0.585778i	$-0.800789\pi$
$449$	−15.0109	+	8.66655i	−0.708408	+	0.409000i	0.102063	+	0.994778i	$0.467456\pi$
$450$	−11.9472	+	5.52800i	−0.563195	+	0.260592i
$451$		−	28.1679i		−	1.32638i
$452$	1.72824	+	0.304736i	0.0812897	+	0.0143336i
$453$	9.70494	+	6.20297i	0.455978	+	0.291441i
$454$	9.54514	−	1.68307i	0.447976	−	0.0789902i
$455$	1.98668	−	5.95518i	0.0931370	−	0.279183i
$456$	19.4978	+	25.4882i	0.913068	+	1.19359i
$457$	5.69846	−	32.3176i	0.266563	−	1.51175i	−0.497985	−	0.867186i	$-0.665927\pi$
$457$	5.69846	−	32.3176i	0.266563	−	1.51175i	0.764548	−	0.644567i	$-0.222962\pi$
$458$	−8.07662	−	13.9891i	−0.377396	−	0.653669i
$459$	−3.34717	+	24.5792i	−0.156232	+	1.14726i
$460$	−1.79417	−	1.03586i	−0.0836535	−	0.0482974i
$461$	0.748682	−	0.272498i	0.0348696	−	0.0126915i	−0.324526	−	0.945877i	$-0.605205\pi$
$461$	0.748682	−	0.272498i	0.0348696	−	0.0126915i	0.359396	+	0.933185i	$0.382983\pi$
$462$	7.38835	−	19.2133i	0.343737	−	0.893885i
$463$	8.79280	−	7.37804i	0.408636	−	0.342887i	−0.415184	−	0.909737i	$-0.636283\pi$
$463$	8.79280	−	7.37804i	0.408636	−	0.342887i	0.823820	+	0.566851i	$0.191838\pi$
$464$	0.397679	−	1.09261i	0.0184618	−	0.0507233i
$465$	−0.684992	−	0.0309247i	−0.0317657	−	0.00143410i
$466$	1.64920	−	9.35309i	0.0763978	−	0.433273i
$467$	2.59486	+	4.49443i	0.120076	+	0.207977i	0.919797	−	0.392394i	$-0.128353\pi$
$467$	2.59486	+	4.49443i	0.120076	+	0.207977i	−0.799722	+	0.600371i	$0.795020\pi$
$468$	−9.23037	−	13.2659i	−0.426674	−	0.613215i
$469$	−12.1153	−	19.7309i	−0.559433	−	0.911090i
$470$	3.52986	+	0.622410i	0.162820	+	0.0287096i
$471$	−0.223574	+	1.00145i	−0.0103018	+	0.0461445i
$472$	−15.2739	+	2.69320i	−0.703039	+	0.123965i
$473$	−37.6710	+	6.64241i	−1.73211	+	0.305418i
$474$	−7.26069	+	2.27746i	−0.333495	+	0.104607i
$475$	29.7758	+	5.25028i	1.36621	+	0.240899i
$476$	−6.88956	+	12.7160i	−0.315782	+	0.582836i
$477$	3.77825	+	14.2697i	0.172994	+	0.653364i
$478$	−10.4003	−	18.0139i	−0.475700	−	0.823937i
$479$	3.21688	−	18.2438i	0.146983	−	0.833582i	−0.818771	−	0.574121i	$-0.805344\pi$
$479$	3.21688	−	18.2438i	0.146983	−	0.833582i	0.965754	−	0.259461i	$-0.0835449\pi$
$480$	2.56267	−	4.00945i	0.116969	−	0.183006i
$481$	−8.80910	+	24.2028i	−0.401660	+	1.10355i
$482$	−6.06503	+	5.08917i	−0.276255	+	0.231805i
$483$	−15.3445	−	5.90061i	−0.698198	−	0.268487i
$484$	13.5583	−	4.93481i	0.616285	−	0.224310i
$485$	−1.07212	−	0.618987i	−0.0486823	−	0.0281067i
$486$	0.735426	−	14.3950i	0.0333596	−	0.652972i
$487$	12.9714	+	22.4672i	0.587792	+	1.01809i	0.994521	+	0.104537i	$0.0333360\pi$
$487$	12.9714	+	22.4672i	0.587792	+	1.01809i	−0.406729	+	0.913549i	$0.633331\pi$
$488$	3.62651	−	20.5670i	0.164165	−	0.931023i
$489$	−32.2484	+	4.19697i	−1.45832	+	0.189793i
$490$	3.17939	−	0.739988i	0.143630	−	0.0334293i
$491$	17.9073	−	3.15754i	0.808146	−	0.142498i	0.245715	−	0.969342i	$-0.420977\pi$
$491$	17.9073	−	3.15754i	0.808146	−	0.142498i	0.562431	+	0.826844i	$0.309866\pi$
$492$	0.518617	−	11.4875i	0.0233811	−	0.517897i
$493$	−13.7058	−	2.41669i	−0.617276	−	0.108842i
$494$		−	27.7158i		−	1.24699i
$495$	7.09428	+	1.92347i	0.318864	+	0.0864533i
$496$	0.271129	−	0.156536i	0.0121741	−	0.00702870i
$497$	21.4874	−	27.0628i	0.963841	−	1.21393i
$498$	−3.46143	−	3.18127i	−0.155111	−	0.142556i
$499$	−18.7234	+	15.7108i	−0.838173	+	0.703311i	−0.957152	−	0.289586i	$-0.906482\pi$
$499$	−18.7234	+	15.7108i	−0.838173	+	0.703311i	0.118979	+	0.992897i	$0.462038\pi$
$500$	−0.977290	−	5.54249i	−0.0437057	−	0.247868i
$501$	16.1940	−	17.6202i	0.723497	−	0.787212i
$502$	10.5897	−	12.6203i	0.472641	−	0.563271i
$503$	7.81528	+	13.5365i	0.348466	+	0.603561i	0.985977	−	0.166880i	$-0.0533693\pi$
$503$	7.81528	+	13.5365i	0.348466	+	0.603561i	−0.637511	+	0.770441i	$0.720036\pi$
$504$	9.24774	−	21.1483i	0.411927	−	0.942020i
$505$	1.52484	−	2.64109i	0.0678543	−	0.117527i
$506$	5.51164	+	15.1431i	0.245022	+	0.673194i
$507$	−0.713544	+	15.8052i	−0.0316896	+	0.701935i
$508$	−9.36278	+	7.85631i	−0.415406	+	0.348567i
$509$	−4.24348	−	24.0660i	−0.188089	−	1.06671i	−0.921922	−	0.387375i	$-0.873382\pi$
$509$	−4.24348	−	24.0660i	−0.188089	−	1.06671i	0.733833	−	0.679330i	$-0.237729\pi$
$510$	3.56029	+	1.48091i	0.157652	+	0.0655757i
$511$	9.45920	+	23.9510i	0.418450	+	1.05953i
$512$			4.49234i			0.198535i
$513$	−20.2699	+	26.1745i	−0.894939	+	1.15563i
$514$	19.1413	−	11.0513i	0.844288	−	0.487450i
$515$	−3.17066	+	3.77864i	−0.139716	+	0.166507i
$516$	−15.4854	+	2.01534i	−0.681705	+	0.0887204i
$517$	24.0014	+	28.6038i	1.05558	+	1.25799i
$518$	−13.1215	+	2.68177i	−0.576526	+	0.117830i
$519$	0.343968	−	7.61899i	0.0150985	−	0.334437i
$520$	−6.48405	+	2.36000i	−0.284344	+	0.103493i
$521$	−33.1998			−1.45451			−0.727255	−	0.686367i	$-0.759204\pi$
$521$	−33.1998			−1.45451			−0.727255	+	0.686367i	$0.759204\pi$
$522$	8.05383	+	0.728683i	0.352506	+	0.0318936i
$523$			39.1939i			1.71383i	0.515458	+	0.856915i	$0.327622\pi$
$523$			39.1939i			1.71383i	−0.515458	+	0.856915i	$0.672378\pi$
$524$	−1.83123	+	10.3854i	−0.0799976	+	0.453689i
$525$	−7.06805	−	20.5666i	−0.308475	−	0.897600i
$526$	7.72598	+	2.81203i	0.336869	+	0.122610i
$527$	−2.40871	−	2.87059i	−0.104925	−	0.125045i
$528$	−3.20222	+	1.00444i	−0.139359	+	0.0437127i
$529$	−9.51906	+	3.46466i	−0.413872	+	0.150637i
$530$	2.29460			0.0996712
$531$	−6.71887	−	14.5209i	−0.291574	−	0.630153i
$532$	−16.4480	+	10.0995i	−0.713110	+	0.437869i
$533$	−17.5345	+	20.8968i	−0.759502	+	0.905139i
$534$	−9.66815	+	15.1264i	−0.418382	+	0.654585i
$535$	5.20984	+	6.20885i	0.225241	+	0.268432i
$536$	−8.70406	+	23.9142i	−0.375958	+	1.03294i
$537$	0.673581	+	5.17562i	0.0290671	+	0.223345i
$538$	0.366394	+	1.00666i	0.0157964	+	0.0434002i
$539$	30.3275	+	15.3846i	1.30630	+	0.662663i
$540$	2.85779	+	0.915049i	0.122980	+	0.0393775i
$541$	−22.2029	+	38.4566i	−0.954578	+	1.65338i	−0.219248	+	0.975669i	$0.570360\pi$
$541$	−22.2029	+	38.4566i	−0.954578	+	1.65338i	−0.735330	+	0.677709i	$0.762973\pi$
$542$	18.7212	+	15.7089i	0.804143	+	0.674756i
$543$	0.511469	+	3.92999i	0.0219492	+	0.168652i
$544$	25.6099	−	4.51571i	1.09801	−	0.193609i
$545$	−1.26513	−	7.17490i	−0.0541921	−	0.307339i
$546$	−17.4414	+	9.65443i	−0.746422	+	0.413172i
$547$	10.6883	+	8.96856i	0.456999	+	0.383468i	0.842025	−	0.539438i	$-0.181363\pi$
$547$	10.6883	+	8.96856i	0.456999	+	0.383468i	−0.385026	+	0.922906i	$0.625808\pi$
$548$	−14.7644	+	8.52420i	−0.630702	+	0.364136i
$549$	21.4682	−	1.81411i	0.916239	−	0.0774242i
$550$	−10.6587	+	18.4614i	−0.454489	+	0.787197i
$551$	−14.2281	−	11.9388i	−0.606139	−	0.508611i
$552$	5.40811	+	17.2414i	0.230184	+	0.733843i
$553$	−2.51722	−	12.3164i	−0.107043	−	0.523746i
$554$	3.47147	−	9.53780i	0.147489	−	0.405222i
$555$	−1.43129	−	4.56304i	−0.0607548	−	0.193690i
$556$	4.19819	+	11.5344i	0.178043	+	0.489169i
$557$	10.3785	+	5.99202i	0.439750	+	0.253890i	0.703492	−	0.710704i	$-0.251623\pi$
$557$	10.3785	+	5.99202i	0.439750	+	0.253890i	−0.263741	+	0.964593i	$0.584957\pi$
$558$	1.53508	+	1.54421i	0.0649852	+	0.0653716i
$559$	32.0816	+	18.5223i	1.35691	+	0.783410i
$560$	−0.416803	−	0.330935i	−0.0176132	−	0.0139845i
$561$	18.4956	+	35.6586i	0.780883	+	1.50551i
$562$	−0.640634	−	0.233172i	−0.0270235	−	0.00983576i
$563$	−0.925935	−	0.337013i	−0.0390235	−	0.0142034i	0.322435	−	0.946592i	$-0.395499\pi$
$563$	−0.925935	−	0.337013i	−0.0390235	−	0.0142034i	−0.361458	+	0.932388i	$0.617721\pi$
$564$	9.26168	+	12.1072i	0.389987	+	0.509804i
$565$	0.761226	+	0.134225i	0.0320250	+	0.00564688i
$566$	8.51531			0.357925
$567$	23.5322	+	3.63821i	0.988259	+	0.152790i
$568$	−37.9815			−1.59367
$569$	5.45358	+	0.961613i	0.228626	+	0.0403129i	0.286787	−	0.957994i	$-0.407413\pi$
$569$	5.45358	+	0.961613i	0.228626	+	0.0403129i	−0.0581614	+	0.998307i	$0.518524\pi$
$570$	3.12670	+	4.08733i	0.130963	+	0.171199i
$571$	12.4065	+	4.51560i	0.519196	+	0.188972i	0.588308	−	0.808637i	$-0.299794\pi$
$571$	12.4065	+	4.51560i	0.519196	+	0.188972i	−0.0691118	+	0.997609i	$0.522017\pi$
$572$	−24.5924	−	8.95091i	−1.02826	−	0.374256i
$573$	−10.4872	−	20.2189i	−0.438111	−	0.844657i
$574$	−14.0306	−	2.08411i	−0.585626	−	0.0869891i
$575$	14.7440	+	8.51244i	0.614867	+	0.354993i
$576$	−16.9204	+	4.48010i	−0.705018	+	0.186671i
$577$	16.5747	+	9.56942i	0.690015	+	0.398380i	0.803617	−	0.595146i	$-0.202906\pi$
$577$	16.5747	+	9.56942i	0.690015	+	0.398380i	−0.113603	+	0.993526i	$0.536239\pi$
$578$	1.83119	+	5.03114i	0.0761673	+	0.209268i
$579$	−0.0194313	−	0.0619484i	−0.000807539	−	0.00257449i
$580$	−0.575799	+	1.58199i	−0.0239087	+	0.0656887i
$581$	5.81223	−	5.15146i	0.241132	−	0.213719i
$582$	1.17657	+	3.75097i	0.0487702	+	0.155483i
$583$	18.3115	+	15.3652i	0.758386	+	0.636362i
$584$	14.1521	−	24.5121i	0.585616	−	1.01432i
$585$	−4.06563	−	5.84312i	−0.168093	−	0.241583i
$586$	18.1297	−	10.4672i	0.748932	−	0.432396i
$587$	−20.7501	−	17.4114i	−0.856450	−	0.718647i	0.104750	−	0.994499i	$-0.466596\pi$
$587$	−20.7501	−	17.4114i	−0.856450	−	0.718647i	−0.961200	+	0.275852i	$0.911040\pi$
$588$	12.0850	+	6.83258i	0.498376	+	0.281771i
$589$	−0.868419	−	4.92505i	−0.0357826	−	0.202933i
$590$	−2.44935	+	0.431887i	−0.100838	+	0.0177805i
$591$	1.14368	+	8.78778i	0.0470449	+	0.361481i
$592$	1.67265	+	1.40352i	0.0687453	+	0.0576841i
$593$	−21.3668	+	37.0083i	−0.877428	+	1.51975i	−0.0232738	+	0.999729i	$0.507409\pi$
$593$	−21.3668	+	37.0083i	−0.877428	+	1.51975i	−0.854154	+	0.520020i	$0.825924\pi$
$594$	−12.4535	−	19.7413i	−0.510974	−	0.809994i
$595$	−3.03459	+	5.60091i	−0.124406	+	0.229615i
$596$	−0.834798	−	2.29359i	−0.0341946	−	0.0939490i
$597$	−1.38029	−	10.6058i	−0.0564914	−	0.434065i
$598$	5.33766	−	14.6651i	0.218273	−	0.599701i
$599$	20.1380	+	23.9996i	0.822817	+	0.980595i	0.999994	−	0.00358376i	$-0.00114075\pi$
$599$	20.1380	+	23.9996i	0.822817	+	0.980595i	−0.177176	+	0.984179i	$0.556696\pi$
$600$	−12.8730	+	20.1407i	−0.525539	+	0.822239i
$601$	−3.68912	+	4.39652i	−0.150482	+	0.179338i	−0.836019	−	0.548700i	$-0.815123\pi$
$601$	−3.68912	+	4.39652i	−0.150482	+	0.179338i	0.685537	+	0.728038i	$0.259567\pi$
$602$	0.521388	+	19.2556i	0.0212502	+	0.784798i
$603$	−26.1469	−	2.36569i	−1.06479	−	0.0963382i
$604$	7.61432			0.309822
$605$	5.97191	−	2.17360i	0.242793	−	0.0883694i
$606$	−9.24028	+	2.89840i	−0.375361	+	0.117739i
$607$	−8.69875	−	10.3668i	−0.353071	−	0.420774i	0.560052	−	0.828457i	$-0.310781\pi$
$607$	−8.69875	−	10.3668i	−0.353071	−	0.420774i	−0.913123	+	0.407683i	$0.866337\pi$
$608$	32.6125	+	11.8700i	1.32261	+	0.481391i
$609$	−2.55684	+	13.1124i	−0.103609	+	0.531341i
$610$	0.581554	−	3.29816i	0.0235464	−	0.133539i
$611$		−	36.1609i		−	1.46291i
$612$	6.88637	+	14.8829i	0.278365	+	0.601606i
$613$	1.85353			0.0748633			0.0374316	−	0.999299i	$-0.488082\pi$
$613$	1.85353			0.0748633			0.0374316	+	0.999299i	$0.488082\pi$
$614$	18.3869	−	6.69227i	0.742033	−	0.270078i
$615$	0.228431	−	5.05982i	0.00921124	−	0.204032i
$616$	−7.48455	−	36.6208i	−0.301561	−	1.47549i
$617$	−30.5178	−	36.3698i	−1.22860	−	1.46419i	−0.839823	−	0.542860i	$-0.817341\pi$
$617$	−30.5178	−	36.3698i	−1.22860	−	1.46419i	−0.388779	−	0.921331i	$-0.627103\pi$
$618$	15.5326	−	2.02149i	0.624814	−	0.0813163i
$619$	−1.98050	+	2.36027i	−0.0796031	+	0.0948672i	−0.804376	−	0.594121i	$-0.797500\pi$
$619$	−1.98050	+	2.36027i	−0.0796031	+	0.0948672i	0.724773	+	0.688988i	$0.241945\pi$
$620$	−0.392568	+	0.226649i	−0.0157659	+	0.00910245i
$621$	−15.7661	+	9.94585i	−0.632673	+	0.399113i
$622$			7.66706i			0.307421i
$623$	−23.2264	−	18.4414i	−0.930548	−	0.738839i
$624$	3.00087	+	1.24822i	0.120131	+	0.0499686i
$625$	3.68990	+	20.9264i	0.147596	+	0.837058i
$626$	−20.2584	+	16.9988i	−0.809688	+	0.679409i
$627$	−2.41780	+	53.5551i	−0.0965578	+	2.13878i
$628$	0.232006	+	0.637432i	0.00925806	+	0.0254363i
$629$	13.0675	−	22.6335i	0.521033	−	0.902456i
$630$	1.48298	−	3.39138i	0.0590835	−	0.135116i
$631$	12.7919	+	22.1562i	0.509238	+	0.882026i	0.999943	+	0.0106999i	$0.00340596\pi$
$631$	12.7919	+	22.1562i	0.509238	+	0.882026i	−0.490705	+	0.871326i	$0.663261\pi$
$632$	−8.88153	+	10.5846i	−0.353288	+	0.421033i
$633$	3.93851	−	4.28535i	0.156542	−	0.170328i
$634$	−3.24407	−	18.3981i	−0.128839	−	0.730680i
$635$	−4.12395	+	3.46041i	−0.163654	+	0.137322i
$636$	7.18496	+	6.60342i	0.284902	+	0.261843i
$637$	−12.9220	−	30.2921i	−0.511987	−	1.20022i
$638$	11.3409	−	6.54765i	0.448989	−	0.259224i
$639$	−10.0290	−	37.8774i	−0.396739	−	1.49840i
$640$		−	2.77375i		−	0.109642i
$641$	−12.9851	−	2.28962i	−0.512879	−	0.0904345i	−0.0887820	−	0.996051i	$-0.528297\pi$
$641$	−12.9851	−	2.28962i	−0.512879	−	0.0904345i	−0.424097	+	0.905617i	$0.639409\pi$
$642$	1.16077	−	25.7114i	0.0458119	−	1.01475i
$643$	−39.9985	+	7.05281i	−1.57739	+	0.278136i	−0.892682	−	0.450686i	$-0.851179\pi$
$643$	−39.9985	+	7.05281i	−1.57739	+	0.278136i	−0.684703	+	0.728822i	$0.740068\pi$
$644$	−10.6480	+	2.17625i	−0.419591	+	0.0857561i
$645$	−6.82072	+	0.887681i	−0.268566	+	0.0349524i
$646$	−4.88359	+	27.6962i	−0.192142	+	1.08969i
$647$	−20.0184	−	34.6729i	−0.787006	−	1.36313i	−0.927794	−	0.373094i	$-0.878297\pi$
$647$	−20.0184	−	34.6729i	−0.787006	−	1.36313i	0.140788	−	0.990040i	$-0.455036\pi$
$648$	−12.9516	−	22.7431i	−0.508785	−	0.893434i
$649$	−22.4385	−	12.9549i	−0.880787	−	0.508523i
$650$	19.3995	−	7.06083i	0.760910	−	0.276949i
$651$	−2.79680	+	2.26207i	−0.109615	+	0.0886573i
$652$	−16.4690	+	13.8191i	−0.644974	+	0.541198i
$653$	−4.72454	+	12.9806i	−0.184885	+	0.507968i	−0.997160	−	0.0753061i	$-0.976007\pi$
$653$	−4.72454	+	12.9806i	−0.184885	+	0.507968i	0.812275	+	0.583275i	$0.198229\pi$
$654$	−12.4595	+	19.4936i	−0.487204	+	0.762262i
$655$	−0.806587	+	4.57438i	−0.0315160	+	0.178736i
$656$	1.15629	+	2.00275i	0.0451454	+	0.0781941i
$657$	28.1817	+	7.64088i	1.09947	+	0.298099i
$658$	16.0235	−	9.83887i	0.624662	−	0.383559i
$659$	36.6031	+	6.45411i	1.42585	+	0.251417i	0.832723	−	0.553690i	$-0.186781\pi$
$659$	36.6031	+	6.45411i	1.42585	+	0.251417i	0.593131	+	0.805106i	$0.297892\pi$
$660$	4.63649	−	1.45433i	0.180475	−	0.0566097i
$661$	44.4693	−	7.84114i	1.72966	−	0.304985i	0.781764	−	0.623575i	$-0.214320\pi$
$661$	44.4693	−	7.84114i	1.72966	−	0.304985i	0.947893	+	0.318589i	$0.103209\pi$
$662$	−13.6067	+	2.39922i	−0.528838	+	0.0932484i
$663$	8.47619	−	37.9672i	0.329188	−	1.47452i
$664$	−8.40682	−	1.48235i	−0.326248	−	0.0575263i
$665$	−7.24471	+	4.44845i	−0.280938	+	0.172503i
$666$	−6.45863	+	13.7441i	−0.250267	+	0.532571i
$667$	−5.22921	−	9.05725i	−0.202476	−	0.350698i
$668$	2.74724	−	15.5804i	0.106294	−	0.602823i
$669$	−11.4476	−	0.516813i	−0.442589	−	0.0199812i
$670$	−1.39580	+	3.83493i	−0.0539244	+	0.148156i
$671$	26.7262	−	22.4259i	1.03175	−	0.865744i
$672$	−3.89043	−	24.6576i	−0.150076	−	0.951187i
$673$	4.43681	−	1.61487i	0.171026	−	0.0622485i	−0.255088	−	0.966918i	$-0.582104\pi$
$673$	4.43681	−	1.61487i	0.171026	−	0.0622485i	0.426114	+	0.904669i	$0.359882\pi$
$674$	8.94268	+	5.16306i	0.344459	+	0.198874i
$675$	−23.4846	−	7.51963i	−0.903921	−	0.289431i
$676$	5.22961	+	9.05794i	0.201139	+	0.348382i
$677$	−1.83606	+	10.4128i	−0.0705656	+	0.400197i	0.928982	+	0.370125i	$0.120685\pi$
$677$	−1.83606	+	10.4128i	−0.0705656	+	0.400197i	−0.999548	+	0.0300728i	$0.990426\pi$
$678$	−1.49135	−	1.94954i	−0.0572749	−	0.0748717i
$679$	−6.36280	+	1.30043i	−0.244182	+	0.0499059i
$680$	6.89530	−	1.21583i	0.264423	−	0.0466248i
$681$	15.2980	+	9.77781i	0.586221	+	0.374686i
$682$	3.47242	+	0.612281i	0.132966	+	0.0234455i
$683$		−	9.29154i		−	0.355531i	−0.984073	−	0.177765i	$-0.943113\pi$
$683$		−	9.29154i		−	0.355531i	0.984073	−	0.177765i	$-0.0568868\pi$
$684$	−1.97207	+	21.7964i	−0.0754040	+	0.833408i
$685$	−6.50314	+	3.75459i	−0.248472	+	0.143456i
$686$	9.90706	−	13.9680i	0.378253	−	0.533300i
$687$	6.59288	−	29.5314i	0.251534	−	1.12669i
$688$	2.40574	−	2.01866i	0.0917181	−	0.0769606i
$689$	−4.01986	−	22.7978i	−0.153144	−	0.868526i
$690$	0.867254	+	2.76486i	0.0330158	+	0.105257i
$691$	−6.66743	+	7.94594i	−0.253641	+	0.302278i	−0.877807	−	0.479014i	$-0.840994\pi$
$691$	−6.66743	+	7.94594i	−0.253641	+	0.302278i	0.624166	+	0.781292i	$0.285439\pi$
$692$	−2.52096	−	4.36643i	−0.0958325	−	0.165987i
$693$	34.5441	−	17.1337i	1.31222	−	0.650855i
$694$	8.41286	−	14.5715i	0.319348	−	0.553126i
$695$	1.84915	+	5.08049i	0.0701421	+	0.192714i
$696$	13.0347	−	6.76089i	0.494078	−	0.256271i
$697$	21.2041	−	17.7924i	0.803163	−	0.673934i
$698$	−4.10315	−	23.2701i	−0.155306	−	0.880787i
$699$	14.1302	−	10.8093i	0.534454	−	0.408844i
$700$	−11.2593	−	8.93971i	−0.425563	−	0.337889i
$701$			32.6042i			1.23144i	0.787964	+	0.615721i	$0.211135\pi$
$701$			32.6042i			1.23144i	−0.787964	+	0.615721i	$0.788865\pi$
$702$	−3.05008	+	22.3976i	−0.115118	+	0.845343i
$703$	30.2060	−	17.4395i	1.13924	−	0.657742i
$704$	−18.2195	+	21.7131i	−0.686672	+	0.818344i
$705$	4.07942	+	5.33275i	0.153640	+	0.200843i
$706$	−7.62264	−	9.08431i	−0.286882	−	0.341892i
$707$	−3.20353	−	15.6744i	−0.120481	−	0.589495i
$708$	−8.91240	−	5.69641i	−0.334948	−	0.214084i
$709$	11.3943	−	4.14720i	0.427923	−	0.155751i	−0.119075	−	0.992885i	$-0.537993\pi$
$709$	11.3943	−	4.14720i	0.427923	−	0.155751i	0.546998	+	0.837134i	$0.315771\pi$
$710$	−6.09078			−0.228583
$711$	−12.9007	−	6.06234i	−0.483815	−	0.227355i
$712$			32.5973i			1.22164i
$713$	0.488991	−	2.77321i	0.0183129	−	0.103857i
$714$	19.1302	−	6.57439i	0.715929	−	0.246040i
$715$	−10.8320	−	3.94254i	−0.405095	−	0.147443i
$716$	2.21786	+	2.64314i	0.0828852	+	0.0987788i
$717$	8.48971	−	38.0278i	0.317054	−	1.42017i
$718$	−18.6279	+	6.77999i	−0.695186	+	0.253027i
$719$	−10.2736			−0.383139			−0.191570	−	0.981479i	$-0.561358\pi$
$719$	−10.2736			−0.383139			−0.191570	+	0.981479i	$0.561358\pi$
$720$	−0.583362	+	0.154459i	−0.0217406	+	0.00575636i
$721$	0.700407	+	25.8670i	0.0260845	+	0.963337i
$722$	−12.8330	+	15.2937i	−0.477593	+	0.569173i
$723$	−14.8157	−	0.668872i	−0.551002	−	0.0248756i
$724$	1.68408	+	2.00701i	0.0625884	+	0.0745899i
$725$	4.73176	−	13.0004i	0.175733	−	0.482822i
$726$	−18.6331	−	7.75048i	−0.691541	−	0.287647i
$727$	−12.1820	−	33.4698i	−0.451806	−	1.24133i	−0.931452	−	0.363865i	$-0.881457\pi$
$727$	−12.1820	−	33.4698i	−0.451806	−	1.24133i	0.479646	−	0.877462i	$-0.340765\pi$
$728$	−17.2438	+	31.8267i	−0.639098	+	1.17958i
$729$	19.2609	−	18.9213i	0.713367	−	0.700790i
$730$	2.26945	−	3.93080i	0.0839961	−	0.145485i
$731$	−28.7952	−	24.1621i	−1.06503	−	0.893666i
$732$	11.3124	−	8.65373i	0.418120	−	0.319851i
$733$	9.19455	−	1.62125i	0.339608	−	0.0598821i	−0.00124322	−	0.999999i	$-0.500396\pi$
$733$	9.19455	−	1.62125i	0.339608	−	0.0598821i	0.340852	+	0.940117i	$0.389285\pi$
$734$	−1.11902	−	6.34628i	−0.0413038	−	0.234246i
$735$	5.32298	+	3.00950i	0.196341	+	0.111007i
$736$	14.9701	+	12.5614i	0.551804	+	0.463019i
$737$	−36.8184	+	21.2571i	−1.35622	+	0.783016i
$738$	−11.4066	+	11.3392i	−0.419883	+	0.417400i
$739$	24.9361	−	43.1905i	0.917288	−	1.58879i	0.113770	−	0.993507i	$-0.463707\pi$
$739$	24.9361	−	43.1905i	0.917288	−	1.58879i	0.803517	−	0.595282i	$-0.202959\pi$
$740$	−2.42182	−	2.03215i	−0.0890279	−	0.0747033i
$741$	35.1316	−	38.2255i	1.29059	−	1.40425i
$742$	9.00833	−	7.98422i	0.330706	−	0.293110i
$743$	−13.7749	+	37.8461i	−0.505350	+	1.38844i	0.380635	+	0.924725i	$0.375705\pi$
$743$	−13.7749	+	37.8461i	−0.505350	+	1.38844i	−0.885985	+	0.463713i	$0.846517\pi$
$744$	3.85869	+	0.861454i	0.141467	+	0.0315824i
$745$	−0.367697	−	1.01024i	−0.0134714	−	0.0370123i
$746$	−9.24992	−	5.34044i	−0.338664	−	0.195527i
$747$	−0.741523	−	8.77518i	−0.0271309	−	0.321067i
$748$	22.9979	+	13.2778i	0.840885	+	0.485485i
$749$	42.0573	+	6.24721i	1.53674	+	0.228268i
$750$	−4.23933	+	6.63270i	−0.154799	+	0.242192i
$751$	−38.2116	−	13.9079i	−1.39436	−	0.507506i	−0.467862	−	0.883801i	$-0.654976\pi$
$751$	−38.2116	−	13.9079i	−1.39436	−	0.507506i	−0.926500	+	0.376295i	$0.877198\pi$
$752$	−2.88068	−	1.04848i	−0.105048	−	0.0382342i
$753$	30.6023	−	3.98273i	1.11521	−	0.145139i
$754$	−12.4893	−	2.20220i	−0.454833	−	0.0801992i
$755$	3.35382			0.122058
$756$	14.4033	−	6.35149i	0.523843	−	0.231002i
$757$	38.9341			1.41508			0.707542	−	0.706671i	$-0.249804\pi$
$757$	38.9341			1.41508			0.707542	+	0.706671i	$0.249804\pi$
$758$	−5.88650	−	1.03795i	−0.213807	−	0.0377000i
$759$	−11.5932	+	27.8717i	−0.420808	+	1.01168i
$760$	8.78071	+	3.19592i	0.318510	+	0.115928i
$761$	35.9569	+	13.0872i	1.30344	+	0.474412i	0.898115	−	0.439761i	$-0.144937\pi$
$761$	35.9569	+	13.0872i	1.30344	+	0.474412i	0.405322	+	0.914174i	$0.367159\pi$
$762$	17.0776	+	0.770989i	0.618658	+	0.0279300i
$763$	−29.9322	−	23.7657i	−1.08362	−	0.860375i
$764$	−13.0401	−	7.52871i	−0.471775	−	0.272379i
$765$	3.03319	+	6.55536i	0.109665	+	0.237009i
$766$	1.86345	+	1.07586i	0.0673291	+	0.0388724i
$767$	8.58192	+	23.5786i	0.309875	+	0.851375i
$768$	−19.6368	+	21.3662i	−0.708584	+	0.770986i
$769$	−2.38576	+	6.55481i	−0.0860326	+	0.236373i	−0.975247	−	0.221118i	$-0.929029\pi$
$769$	−2.38576	+	6.55481i	−0.0860326	+	0.236373i	0.889214	+	0.457491i	$0.151252\pi$
$770$	−1.20024	−	5.87257i	−0.0432535	−	0.211633i
$771$	40.4078	+	9.02106i	1.45525	+	0.324885i
$772$	−0.0328790	−	0.0275887i	−0.00118334	−	0.000992940i
$773$	−13.0179	+	22.5477i	−0.468222	+	0.810985i	−0.999340	−	0.0363129i	$-0.988439\pi$
$773$	−13.0179	+	22.5477i	−0.468222	+	0.810985i	0.531118	+	0.847298i	$0.321772\pi$
$774$	17.8545	+	12.5809i	0.641767	+	0.452211i
$775$	3.22601	−	1.86254i	0.115882	−	0.0669044i
$776$	5.46814	+	4.58831i	0.196295	+	0.164711i
$777$	−21.4964	−	12.9337i	−0.771180	−	0.463993i
$778$	5.29248	+	30.0151i	0.189744	+	1.07609i
$779$	36.3798	−	6.41474i	1.30344	−	0.229832i
$780$	−4.34496	−	1.80729i	−0.155575	−	0.0647114i
$781$	−48.6060	−	40.7853i	−1.73926	−	1.45941i
$782$	−7.91791	+	13.7142i	−0.283144	+	0.490420i
$783$	10.1841	+	11.2137i	0.363951	+	0.400746i
$784$	−2.78783	+	0.151084i	−0.0995652	+	0.00539587i
$785$	0.102190	+	0.280765i	0.00364732	+	0.0100209i
$786$	11.7152	−	8.96186i	0.417869	−	0.319659i
$787$	9.54357	−	26.2208i	0.340192	−	0.934669i	−0.645147	−	0.764059i	$-0.723204\pi$
$787$	9.54357	−	26.2208i	0.340192	−	0.934669i	0.985339	−	0.170610i	$-0.0545739\pi$
$788$	3.76574	+	4.48783i	0.134149	+	0.159872i
$789$	7.09120	+	13.6715i	0.252453	+	0.486718i
$790$	−1.42426	+	1.69737i	−0.0506729	+	0.0603896i
$791$	3.45552	−	2.12178i	0.122864	−	0.0754420i
$792$	−38.3583	−	18.0254i	−1.36300	−	0.640504i
$793$	−33.7873			−1.19982
$794$	22.0697	−	8.03272i	0.783225	−	0.285070i
$795$	3.16470	+	2.90856i	0.112240	+	0.103156i
$796$	−4.54478	−	5.41626i	−0.161086	−	0.191974i
$797$	−10.0467	−	3.65670i	−0.355873	−	0.129527i	0.157896	−	0.987456i	$-0.449529\pi$
$797$	−10.0467	−	3.65670i	−0.355873	−	0.129527i	−0.513769	+	0.857929i	$0.671751\pi$
$798$	26.4972	+	5.16680i	0.937989	+	0.182903i
$799$	−6.37163	+	36.1353i	−0.225412	+	1.27838i
$800$			25.8509i			0.913966i
$801$	−32.5080	+	8.60728i	−1.14861	+	0.304123i
$802$	−18.0279			−0.636586
$803$	44.4324	−	16.1721i	1.56798	−	0.570699i
$804$	−15.4067	+	7.99124i	−0.543354	+	0.281829i
$805$	−4.69006	+	0.958555i	−0.165303	+	0.0337846i
$806$	−2.19492	−	2.61580i	−0.0773127	−	0.0921377i
$807$	−0.770677	+	1.85281i	−0.0271291	+	0.0652219i
$808$	−11.3030	+	13.4704i	−0.397639	+	0.473888i
$809$	−43.9114	+	25.3522i	−1.54384	+	0.891338i	−0.545251	+	0.838273i	$0.683566\pi$
$809$	−43.9114	+	25.3522i	−1.54384	+	0.891338i	−0.998591	+	0.0530646i	$0.983101\pi$
$810$	−2.07694	−	3.64713i	−0.0729761	−	0.128147i
$811$		−	4.10320i		−	0.144083i	−0.997402	−	0.0720414i	$-0.977049\pi$
$811$		−	4.10320i		−	0.144083i	0.997402	−	0.0720414i	$-0.0229514\pi$
$812$	3.24413	+	8.21424i	0.113847	+	0.288263i
$813$	5.90805	+	45.3960i	0.207204	+	1.59211i
$814$	4.27027	+	24.2179i	0.149673	+	0.848837i
$815$	−7.25396	+	6.08679i	−0.254095	+	0.213211i
$816$	−2.77881	−	1.77609i	−0.0972779	−	0.0621757i
$817$	−17.1577	−	47.1405i	−0.600274	−	1.64924i
$818$	8.00392	−	13.8632i	0.279850	−	0.484715i
$819$	−36.2927	−	8.79274i	−1.26817	−	0.307243i
$820$	−1.67419	−	2.89977i	−0.0584651	−	0.101265i
$821$	22.3237	−	26.6043i	0.779102	−	0.928498i	−0.219790	−	0.975547i	$-0.570537\pi$
$821$	22.3237	−	26.6043i	0.779102	−	0.928498i	0.998893	+	0.0470490i	$0.0149817\pi$
$822$	23.2724	+	5.19557i	0.811718	+	0.181216i
$823$	−6.70773	−	38.0415i	−0.233817	−	1.32604i	−0.845091	−	0.534623i	$-0.820454\pi$
$823$	−6.70773	−	38.0415i	−0.233817	−	1.32604i	0.611274	−	0.791419i	$-0.290657\pi$
$824$	21.7876	−	18.2820i	0.759008	−	0.636883i
$825$	−38.1015	+	11.9513i	−1.32652	+	0.416090i
$826$	−8.11308	+	10.2182i	−0.282290	+	0.355537i
$827$	28.4168	−	16.4064i	0.988148	−	0.570508i	0.0834279	−	0.996514i	$-0.473413\pi$
$827$	28.4168	−	16.4064i	0.988148	−	0.570508i	0.904720	+	0.426006i	$0.140080\pi$
$828$	−5.24115	+	11.1532i	−0.182143	+	0.387602i
$829$			10.5842i			0.367605i	0.982963	+	0.183803i	$0.0588407\pi$
$829$			10.5842i			0.367605i	−0.982963	+	0.183803i	$0.941159\pi$
$830$	−1.34813	−	0.237712i	−0.0467944	−	0.00825111i
$831$	16.8776	−	8.75415i	0.585478	−	0.303678i
$832$	27.0327	−	4.76660i	0.937190	−	0.165252i
$833$	7.57529	+	32.5475i	0.262468	+	1.12771i
$834$	6.59356	−	15.8518i	0.228316	−	0.548902i
$835$	1.21006	−	6.86258i	0.0418758	−	0.237489i
$836$	17.7202	+	30.6923i	0.612867	+	1.06152i
$837$	0.159789	+	4.07558i	0.00552313	+	0.140873i
$838$	2.63070	+	1.51883i	0.0908759	+	0.0524672i
$839$	40.4225	−	14.7126i	1.39554	−	0.507934i	0.468687	−	0.883364i	$-0.344727\pi$
$839$	40.4225	−	14.7126i	1.39554	−	0.507934i	0.926851	+	0.375430i	$0.122505\pi$
$840$	−1.04747	−	6.63890i	−0.0361413	−	0.229064i
$841$	15.7049	−	13.1780i	0.541549	−	0.454413i
$842$	1.02851	−	2.82579i	0.0354446	−	0.0973833i
$843$	−0.587999	−	1.13363i	−0.0202517	−	0.0390444i
$844$	0.668149	−	3.78926i	0.0229986	−	0.130432i
$845$	2.30345	+	3.98968i	0.0792409	+	0.137249i
$846$	1.92118	−	21.2340i	0.0660515	−	0.730039i
$847$	15.8818	−	29.3129i	0.545706	−	1.00720i
$848$	−1.93269	−	0.340786i	−0.0663689	−	0.0117026i
$849$	11.7443	+	10.7937i	0.403062	+	0.370439i
$850$	−20.6299	+	3.63761i	−0.707600	+	0.124769i
$851$	19.3413	−	3.41040i	0.663012	−	0.116907i
$852$	−19.0717	−	17.5281i	−0.653386	−	0.600502i
$853$	−35.0998	−	6.18904i	−1.20179	−	0.211909i	−0.463320	−	0.886191i	$-0.653342\pi$
$853$	−35.0998	−	6.18904i	−1.20179	−	0.211909i	−0.738473	+	0.674283i	$0.764453\pi$
$854$	−9.19303	−	14.9717i	−0.314579	−	0.512322i
$855$	−0.868623	+	9.60052i	−0.0297063	+	0.328331i
$856$	−23.3669	−	40.4727i	−0.798665	−	1.38333i
$857$	−6.80319	+	38.5828i	−0.232393	+	1.31796i	0.615643	+	0.788025i	$0.288896\pi$
$857$	−6.80319	+	38.5828i	−0.232393	+	1.31796i	−0.848036	+	0.529939i	$0.822215\pi$
$858$	16.8539	+	32.4936i	0.575384	+	1.10931i
$859$	5.56866	−	15.2998i	0.190000	−	0.522021i	−0.807716	−	0.589572i	$-0.799296\pi$
$859$	5.56866	−	15.2998i	0.190000	−	0.522021i	0.997716	+	0.0675511i	$0.0215186\pi$
$860$	−3.48327	+	2.92281i	−0.118779	+	0.0996671i
$861$	−16.7092	−	20.6591i	−0.569447	−	0.704059i
$862$	−29.7589	+	10.8313i	−1.01359	+	0.368917i
$863$	−30.6409	−	17.6905i	−1.04303	−	0.602193i	−0.122339	−	0.992488i	$-0.539040\pi$
$863$	−30.6409	−	17.6905i	−1.04303	−	0.602193i	−0.920690	+	0.390295i	$0.872373\pi$
$864$	−25.0484	−	13.1813i	−0.852164	−	0.448436i
$865$	−1.11039	−	1.92325i	−0.0377543	−	0.0653924i
$866$	−4.40333	+	24.9726i	−0.149631	+	0.848602i
$867$	−3.85174	+	9.26007i	−0.130812	+	0.314488i
$868$	−0.752533	+	2.25576i	−0.0255426	+	0.0765655i
$869$	−22.7319	+	4.00825i	−0.771127	+	0.135971i
$870$	2.09026	−	1.08419i	0.0708666	−	0.0367574i
$871$	40.5467	+	7.14948i	1.37387	+	0.242251i
$872$			42.0086i			1.42259i
$873$	−3.13188	+	6.66469i	−0.105998	+	0.225565i
$874$	−18.3026	+	10.5670i	−0.619096	+	0.357435i
$875$	−10.1844	−	8.08627i	−0.344297	−	0.273366i
$876$	18.4183	−	5.77726i	0.622295	−	0.195195i
$877$	−20.4975	+	17.1995i	−0.692153	+	0.580785i	−0.919529	−	0.393022i	$-0.871430\pi$
$877$	−20.4975	+	17.1995i	−0.692153	+	0.580785i	0.227376	+	0.973807i	$0.426985\pi$
$878$	−0.606857	−	3.44166i	−0.0204804	−	0.116150i
$879$	38.2723	+	8.54430i	1.29089	+	0.288192i
$880$	−0.628148	+	0.748598i	−0.0211749	+	0.0252352i
$881$	0.302257	+	0.523525i	0.0101833	+	0.0176380i	0.871072	−	0.491155i	$-0.163425\pi$
$881$	0.302257	+	0.523525i	0.0101833	+	0.0176380i	−0.860889	+	0.508793i	$0.830092\pi$
$882$	−5.97850	−	18.4743i	−0.201307	−	0.622061i
$883$	−10.2674	+	17.7836i	−0.345525	+	0.598466i	−0.985449	−	0.169972i	$-0.945632\pi$
$883$	−10.2674	+	17.7836i	−0.345525	+	0.598466i	0.639924	+	0.768438i	$0.278966\pi$
$884$	−8.79586	−	24.1664i	−0.295837	−	0.812805i
$885$	−3.92558	−	2.50906i	−0.131957	−	0.0843410i
$886$	15.2947	−	12.8338i	0.513836	−	0.431160i
$887$	−2.47534	−	14.0384i	−0.0831139	−	0.471362i	−0.997748	−	0.0670790i	$-0.978632\pi$
$887$	−2.47534	−	14.0384i	−0.0831139	−	0.471362i	0.914634	−	0.404283i	$-0.132479\pi$
$888$	3.55866	+	27.3438i	0.119421	+	0.917598i
$889$	−4.14943	+	27.9347i	−0.139168	+	0.936900i
$890$			5.22737i			0.175222i
$891$	7.84752	−	43.0127i	0.262902	−	1.44098i
$892$	−6.56058	+	3.78775i	−0.219665	+	0.126823i
$893$	−31.4768	+	37.5126i	−1.05333	+	1.25531i
$894$	−1.31111	+	3.15208i	−0.0438501	+	0.105421i
$895$	0.976883	+	1.16420i	0.0326536	+	0.0389150i
$896$	−9.65143	−	10.8894i	−0.322432	−	0.363789i
$897$	25.9506	−	13.4602i	0.866467	−	0.449423i
$898$	15.0604	−	5.48155i	0.502573	−	0.182922i
$899$	−2.28832			−0.0763198
$900$	−15.7587	+	4.17249i	−0.525289	+	0.139083i
$901$			23.4899i			0.782564i
$902$	−4.52273	+	25.6497i	−0.150590	+	0.854041i
$903$	−23.6886	+	27.2180i	−0.788306	+	0.905760i
$904$	−4.18815	−	1.52436i	−0.139296	−	0.0506995i
$905$	0.741774	+	0.884012i	0.0246574	+	0.0293856i
$906$	−7.84134	−	7.20667i	−0.260511	−	0.239426i
$907$	−26.5353	+	9.65807i	−0.881091	+	0.320691i	−0.742650	−	0.669680i	$-0.766431\pi$
$907$	−26.5353	+	9.65807i	−0.881091	+	0.320691i	−0.138441	+	0.990371i	$0.544209\pi$
$908$	12.0025			0.398318
$909$	−16.4180	−	7.71519i	−0.544552	−	0.255897i
$910$	−2.76525	+	5.10379i	−0.0916671	+	0.169189i
$911$	20.6579	−	24.6191i	0.684426	−	0.815667i	−0.306244	−	0.951953i	$-0.599072\pi$
$911$	20.6579	−	24.6191i	0.684426	−	0.815667i	0.990670	+	0.136286i	$0.0435167\pi$
$912$	−2.02651	−	3.90703i	−0.0671046	−	0.129375i
$913$	−9.16667	−	10.9244i	−0.303373	−	0.361545i
$914$	−10.3780	+	28.5134i	−0.343274	+	0.943139i
$915$	4.98270	−	3.81164i	0.164723	−	0.126009i
$916$	−6.84153	−	18.7969i	−0.226050	−	0.621068i
$917$	12.7503	+	20.7650i	0.421052	+	0.685722i
$918$	6.99443	−	21.8443i	0.230851	−	0.720970i
$919$	7.94398	−	13.7594i	0.262048	−	0.453880i	−0.704738	−	0.709468i	$-0.748936\pi$
$919$	7.94398	−	13.7594i	0.262048	−	0.453880i	0.966786	+	0.255587i	$0.0822688\pi$
$920$	4.03060	+	3.38208i	0.132885	+	0.111504i
$921$	33.8419	+	14.0766i	1.11513	+	0.463839i
$922$	−0.725501	+	0.127925i	−0.0238931	+	0.00421300i
$923$	10.6703	+	60.5142i	0.351217	+	1.99185i
$924$	13.1419	−	21.8425i	0.432336	−	0.718565i
$925$	19.9019	+	16.6997i	0.654370	+	0.549081i
$926$	−9.19135	+	5.30663i	−0.302047	+	0.174387i
$927$	23.9849	+	16.9006i	0.787766	+	0.555087i
$928$	7.94011	−	13.7527i	0.260647	−	0.451453i
$929$	25.0074	+	20.9837i	0.820466	+	0.688452i	0.953081	−	0.302715i	$-0.0978931\pi$
$929$	25.0074	+	20.9837i	0.820466	+	0.688452i	−0.132615	+	0.991168i	$0.542338\pi$
$930$	0.618787	+	0.138144i	0.0202908	+	0.00452993i
$931$	−12.9632	+	42.6725i	−0.424852	+	1.39853i
$932$	4.02251	−	11.0517i	0.131762	−	0.362012i
$933$	−9.71849	+	10.5744i	−0.318169	+	0.346189i
$934$	−1.64123	−	4.50926i	−0.0537028	−	0.147547i
$935$	10.1297	+	5.84838i	0.331276	+	0.191263i
$936$	17.2358	+	37.2503i	0.563371	+	1.21756i
$937$	−3.11413	−	1.79794i	−0.101734	−	0.0587362i	0.448270	−	0.893898i	$-0.352040\pi$
$937$	−3.11413	−	1.79794i	−0.101734	−	0.0587362i	−0.550004	+	0.835162i	$0.685374\pi$
$938$	7.86413	+	19.9122i	0.256773	+	0.650157i
$939$	−49.4873	−	2.23416i	−1.61496	−	0.0729091i
$940$	4.17094	+	1.51810i	0.136041	+	0.0495149i
$941$	−18.8278	−	6.85277i	−0.613770	−	0.223394i	0.0163822	−	0.999866i	$-0.494785\pi$
$941$	−18.8278	−	6.85277i	−0.613770	−	0.223394i	−0.630152	+	0.776472i	$0.717007\pi$
$942$	0.364383	−	0.876023i	0.0118722	−	0.0285424i
$943$	20.4848	+	3.61202i	0.667077	+	0.117624i
$944$	2.12717			0.0692336
$945$	6.34412	−	2.79759i	0.206374	−	0.0910057i
$946$	35.3696			1.14997
$947$	48.3743	+	8.52970i	1.57195	+	0.277178i	0.890604	−	0.454779i	$-0.150282\pi$
$947$	48.3743	+	8.52970i	1.57195	+	0.277178i	0.681350	+	0.731957i	$0.261393\pi$
$948$	−9.34438	+	1.21612i	−0.303491	+	0.0394978i
$949$	−43.0298	−	15.6616i	−1.39681	−	0.508396i
$950$	−26.2708	−	9.56180i	−0.852338	−	0.310226i
$951$	18.8465	−	29.4866i	0.611140	−	0.956168i
$952$	22.8396	−	28.7658i	0.740234	−	0.932305i
$953$	−27.6214	−	15.9472i	−0.894744	−	0.516581i	−0.0192530	−	0.999815i	$-0.506129\pi$
$953$	−27.6214	−	15.9472i	−0.894744	−	0.516581i	−0.875491	+	0.483234i	$0.839462\pi$
$954$	−1.14928	−	13.6006i	−0.0372093	−	0.440336i
$955$	−5.74368	−	3.31612i	−0.185861	−	0.107307i
$956$	−8.80989	−	24.2050i	−0.284932	−	0.782845i
$957$	23.9408	+	5.34480i	0.773897	+	0.172773i
$958$	−5.85857	+	16.0963i	−0.189282	+	0.520048i
$959$	−12.4662	+	37.3682i	−0.402555	+	1.20668i
$960$	−3.44886	+	3.75258i	−0.111311	+	0.121114i
$961$	23.2754	+	19.5304i	0.750819	+	0.630012i
$962$	11.9076	−	20.6246i	0.383917	−	0.664964i
$963$	34.1917	−	33.9896i	1.10181	−	1.09530i
$964$	−8.49086	+	4.90220i	−0.273472	+	0.157889i
$965$	−0.0144820	−	0.0121518i	−0.000466191	−	0.000391180i
$966$	13.0252	+	7.83685i	0.419080	+	0.252146i
$967$	−7.25864	−	41.1658i	−0.233422	−	1.32380i	−0.845911	−	0.533323i	$-0.820943\pi$
$967$	−7.25864	−	41.1658i	−0.233422	−	1.32380i	0.612489	−	0.790479i	$-0.290168\pi$
$968$	−36.0872	+	6.36315i	−1.15989	+	0.204519i
$969$	−41.8421	+	32.0082i	−1.34416	+	1.02825i
$970$	0.876881	+	0.735790i	0.0281549	+	0.0236248i
$971$	−23.9484	+	41.4799i	−0.768542	+	1.33115i	0.169811	+	0.985477i	$0.445684\pi$
$971$	−23.9484	+	41.4799i	−0.768542	+	1.33115i	−0.938353	+	0.345677i	$0.887649\pi$
$972$	3.99233	−	17.3970i	0.128054	−	0.558011i
$973$	24.9374	+	13.5112i	0.799456	+	0.433148i
$974$	−8.20437	−	22.5413i	−0.262885	−	0.722270i
$975$	35.7057	+	14.8518i	1.14350	+	0.475639i
$976$	−0.979659	+	2.69159i	−0.0313581	+	0.0861557i
$977$	−15.1762	−	18.0863i	−0.485529	−	0.578631i	0.466546	−	0.884497i	$-0.345498\pi$
$977$	−15.1762	−	18.0863i	−0.485529	−	0.578631i	−0.952074	+	0.305866i	$0.901054\pi$
$978$	30.0392	+	1.35616i	0.960549	+	0.0433651i
$979$	−35.0037	+	41.7158i	−1.11872	+	1.33324i
$980$	4.03649	−	0.218755i	0.128941	−	0.00698787i
$981$	−41.8935	+	11.0923i	−1.33756	+	0.354150i
$982$	−16.8134			−0.536536
$983$	−57.8632	+	21.0605i	−1.84555	+	0.671725i	−0.858168	+	0.513369i	$0.828397\pi$
$983$	−57.8632	+	21.0605i	−1.84555	+	0.671725i	−0.987382	+	0.158356i	$0.949381\pi$
$984$	−6.36329	+	28.5030i	−0.202854	+	0.908641i
$985$	1.65867	+	1.97672i	0.0528495	+	0.0629836i
$986$	12.0924	+	4.40128i	0.385101	+	0.140165i
$987$	34.5709	+	6.74114i	1.10041	+	0.214573i
$988$	5.95990	−	33.8003i	0.189610	−	1.07533i
$989$		−	28.2475i		−	0.898219i
$990$	−6.15120	−	2.89058i	−0.195498	−	0.0918688i
$991$	−6.39641			−0.203189			−0.101594	−	0.994826i	$-0.532394\pi$
$991$	−6.39641			−0.203189			−0.101594	+	0.994826i	$0.532394\pi$
$992$	4.01797	−	1.46242i	0.127571	−	0.0464320i
$993$	−21.8074	−	13.9383i	−0.692037	−	0.442320i
$994$	−23.9117	+	21.1932i	−0.758432	+	0.672209i
$995$	−2.00181	−	2.38566i	−0.0634615	−	0.0756305i
$996$	−3.53724	−	4.62400i	−0.112082	−	0.146517i
$997$	23.1587	−	27.5994i	0.733442	−	0.874082i	−0.262421	−	0.964954i	$-0.584521\pi$
$997$	23.1587	−	27.5994i	0.733442	−	0.874082i	0.995863	+	0.0908715i	$0.0289653\pi$
$998$	19.5720	−	11.2999i	0.619542	−	0.357693i
$999$	−26.3292	+	10.7690i	−0.833019	+	0.340716i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	189.2.bd.a.47.8	yes	132
3.2	odd	2		567.2.bd.a.467.15		132
7.3	odd	6		189.2.ba.a.101.15	✓	132
21.17	even	6		567.2.ba.a.143.8		132
27.4	even	9		567.2.ba.a.341.8		132
27.23	odd	18		189.2.ba.a.131.15	yes	132
189.31	odd	18		567.2.bd.a.17.15		132
189.185	even	18	inner	189.2.bd.a.185.8	yes	132

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
189.2.ba.a.101.15	✓	132	7.3	odd	6
189.2.ba.a.131.15	yes	132	27.23	odd	18
189.2.bd.a.47.8	yes	132	1.1	even	1	trivial
189.2.bd.a.185.8	yes	132	189.185	even	18	inner
567.2.ba.a.143.8		132	21.17	even	6
567.2.ba.a.341.8		132	27.4	even	9
567.2.bd.a.17.15		132	189.31	odd	18
567.2.bd.a.467.15		132	3.2	odd	2

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.bd (of order \(18\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.910598 - 0.160563i) q^{2} +(-1.05237 - 1.37569i) q^{3} +(-1.07598 - 0.391623i) q^{4} +(-0.473927 - 0.172495i) q^{5} +(0.737399 + 1.42167i) q^{6} +(-2.46079 + 0.971863i) q^{7} +(2.51844 + 1.45402i) q^{8} +(-0.785044 + 2.89546i) q^{9} +(0.403861 + 0.233169i) q^{10} +(1.66156 + 4.56510i) q^{11} +(0.593571 + 1.89234i) q^{12} +(1.60911 - 4.42100i) q^{13} +(2.39684 - 0.489865i) q^{14} +(0.261446 + 0.833505i) q^{15} +(-0.305533 - 0.256373i) q^{16} +(-2.38696 + 4.13434i) q^{17} +(1.17976 - 2.51055i) q^{18} +(-5.51758 + 3.18557i) q^{19} +(0.442381 + 0.371202i) q^{20} +(3.92664 + 2.36252i) q^{21} +(-0.780028 - 4.42376i) q^{22} +(-3.53298 + 0.622960i) q^{23} +(-0.650041 - 4.99475i) q^{24} +(-3.63537 - 3.05044i) q^{25} +(-2.17510 + 3.76739i) q^{26} +(4.80941 - 1.96711i) q^{27} +(3.02836 - 0.0819996i) q^{28} +(0.997075 + 2.73944i) q^{29} +(-0.104242 - 0.800967i) q^{30} +(-0.268468 + 0.737610i) q^{31} +(-3.50145 - 4.17286i) q^{32} +(4.53159 - 7.08995i) q^{33} +(2.83739 - 3.38147i) q^{34} +(1.33388 - 0.0361178i) q^{35} +(1.97862 - 2.80801i) q^{36} -5.47451 q^{37} +(5.53578 - 2.01486i) q^{38} +(-7.77529 + 2.43888i) q^{39} +(-0.942744 - 1.12352i) q^{40} +(-5.44849 - 1.98309i) q^{41} +(-3.19626 - 2.78178i) q^{42} +(-1.36729 + 7.75429i) q^{43} -5.56264i q^{44} +(0.871508 - 1.23682i) q^{45} +3.31715 q^{46} +(7.22256 - 2.62880i) q^{47} +(-0.0311561 + 0.690117i) q^{48} +(5.11096 - 4.78310i) q^{49} +(2.82057 + 3.36143i) q^{50} +(8.19953 - 1.06713i) q^{51} +(-3.46273 + 4.12672i) q^{52} +(4.26125 - 2.46023i) q^{53} +(-4.69529 + 1.01904i) q^{54} -2.45014i q^{55} +(-7.61045 - 1.13046i) q^{56} +(10.1889 + 4.23808i) q^{57} +(-0.468082 - 2.65462i) q^{58} +(-4.08557 + 3.42820i) q^{59} +(0.0451109 - 0.999221i) q^{60} +(-2.45624 - 6.74846i) q^{61} +(0.362900 - 0.628561i) q^{62} +(-0.882166 - 7.88808i) q^{63} +(2.91725 + 5.05283i) q^{64} +(-1.52520 + 1.81767i) q^{65} +(-5.26484 + 5.72849i) q^{66} +(1.51964 + 8.61830i) q^{67} +(4.18742 - 3.51366i) q^{68} +(4.57499 + 4.20470i) q^{69} +(-1.22043 - 0.181283i) q^{70} +(-11.3110 + 6.53043i) q^{71} +(-6.18714 + 6.15057i) q^{72} -9.73306i q^{73} +(4.98508 + 0.879004i) q^{74} +(-0.370709 + 8.21132i) q^{75} +(7.18433 - 1.26679i) q^{76} +(-8.52540 - 9.61893i) q^{77} +(7.47176 - 0.972412i) q^{78} +(-0.825069 + 4.67920i) q^{79} +(0.100577 + 0.174205i) q^{80} +(-7.76741 - 4.54613i) q^{81} +(4.64298 + 2.68063i) q^{82} +(-2.75845 + 1.00400i) q^{83} +(-3.29975 - 4.07978i) q^{84} +(1.84440 - 1.54764i) q^{85} +(2.49011 - 6.84151i) q^{86} +(2.71933 - 4.25456i) q^{87} +(-2.45321 + 13.9128i) q^{88} +(5.60470 + 9.70762i) q^{89} +(-0.992182 + 0.986316i) q^{90} +(0.336922 + 12.4430i) q^{91} +(4.04537 + 0.713308i) q^{92} +(1.29725 - 0.406908i) q^{93} +(-6.99893 + 1.23410i) q^{94} +(3.16443 - 0.557974i) q^{95} +(-2.05575 + 9.20829i) q^{96} +(2.41733 + 0.426241i) q^{97} +(-5.42202 + 3.53485i) q^{98} +(-14.5225 + 1.22718i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 132 q - 3 q^{2} - 9 q^{3} - 3 q^{4} - 9 q^{5} + 18 q^{6} - 6 q^{7} - 18 q^{8} - 15 q^{9} - 9 q^{10} + 9 q^{11} - 9 q^{12} - 42 q^{14} - 24 q^{15} - 15 q^{16} - 9 q^{17} - 3 q^{18} - 9 q^{19} - 18 q^{20}+ \cdots + 96 q^{99}+O(q^{100}) \) 132 * q - 3 * q^2 - 9 * q^3 - 3 * q^4 - 9 * q^5 + 18 * q^6 - 6 * q^7 - 18 * q^8 - 15 * q^9 - 9 * q^10 + 9 * q^11 - 9 * q^12 - 42 * q^14 - 24 * q^15 - 15 * q^16 - 9 * q^17 - 3 * q^18 - 9 * q^19 - 18 * q^20 + 15 * q^21 - 12 * q^22 + 30 * q^23 - 36 * q^24 - 3 * q^25 - 12 * q^28 + 6 * q^29 - 3 * q^30 - 9 * q^31 - 51 * q^32 - 9 * q^33 + 18 * q^34 - 9 * q^35 - 6 * q^37 - 9 * q^38 - 9 * q^39 - 9 * q^40 + 27 * q^42 - 12 * q^43 - 63 * q^45 - 6 * q^46 + 45 * q^47 + 30 * q^49 - 9 * q^50 + 33 * q^51 - 9 * q^52 + 45 * q^53 + 117 * q^54 - 51 * q^56 - 3 * q^58 - 9 * q^59 - 15 * q^60 - 63 * q^61 + 99 * q^62 - 33 * q^63 + 18 * q^64 - 102 * q^65 + 63 * q^66 - 3 * q^67 + 144 * q^68 - 108 * q^69 - 15 * q^70 + 18 * q^71 + 15 * q^72 - 33 * q^74 - 9 * q^75 - 36 * q^76 - 57 * q^77 + 66 * q^78 - 21 * q^79 - 72 * q^80 + 57 * q^81 - 18 * q^82 + 90 * q^83 + 51 * q^84 + 9 * q^85 - 33 * q^86 - 9 * q^87 + 45 * q^88 - 9 * q^89 - 81 * q^90 - 21 * q^91 + 150 * q^92 - 87 * q^93 - 9 * q^94 + 27 * q^95 - 9 * q^96 - 180 * q^98 + 96 * q^99

Introduction

L-functions

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