LMFDB - Embedded newform 189.2.ba.a.5.6

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			5.6
Character	$\chi$	$=$	189.5
Dual form			189.2.ba.a.38.6

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-1.27749 + 0.225257i) q^{2} +(1.73184 - 0.0269248i) q^{3} +(-0.298135 + 0.108512i) q^{4} +(0.194492 - 1.10302i) q^{5} +(-2.20635 + 0.424505i) q^{6} +(0.0727513 + 2.64475i) q^{7} +(2.60324 - 1.50298i) q^{8} +(2.99855 - 0.0932590i) q^{9} +1.45291i q^{10} +(3.40359 - 0.600145i) q^{11} +(-0.513401 + 0.195953i) q^{12} +(-1.38711 + 1.65309i) q^{13} +(-0.688687 - 3.36227i) q^{14} +(0.307131 - 1.91549i) q^{15} +(-2.50098 + 2.09857i) q^{16} +3.10594 q^{17} +(-3.80962 + 0.794581i) q^{18} -2.29012i q^{19} +(0.0617062 + 0.349953i) q^{20} +(0.197203 + 4.57833i) q^{21} +(-4.21288 + 1.53336i) q^{22} +(-2.19188 + 2.61218i) q^{23} +(4.46793 - 2.67302i) q^{24} +(3.51964 + 1.28104i) q^{25} +(1.39965 - 2.42427i) q^{26} +(5.19050 - 0.242245i) q^{27} +(-0.308678 - 0.780599i) q^{28} +(-5.56147 - 6.62791i) q^{29} +(0.0391193 + 2.51621i) q^{30} +(2.76420 + 7.59457i) q^{31} +(-1.14212 + 1.36112i) q^{32} +(5.87832 - 1.13100i) q^{33} +(-3.96782 + 0.699634i) q^{34} +(2.93136 + 0.434137i) q^{35} +(-0.883854 + 0.353183i) q^{36} +(-3.24708 - 5.62411i) q^{37} +(0.515865 + 2.92562i) q^{38} +(-2.35775 + 2.90024i) q^{39} +(-1.15151 - 3.16374i) q^{40} +(-5.58386 - 4.68541i) q^{41} +(-1.28323 - 5.80437i) q^{42} +(-5.76293 - 2.09753i) q^{43} +(-0.949607 + 0.548256i) q^{44} +(0.480327 - 3.32559i) q^{45} +(2.21171 - 3.83079i) q^{46} +(-8.47795 - 3.08572i) q^{47} +(-4.27480 + 3.70174i) q^{48} +(-6.98941 + 0.384818i) q^{49} +(-4.78488 - 0.843704i) q^{50} +(5.37900 - 0.0836270i) q^{51} +(0.234165 - 0.643364i) q^{52} +(-1.56288 + 0.902330i) q^{53} +(-6.57627 + 1.47866i) q^{54} -3.87095i q^{55} +(4.16440 + 6.77558i) q^{56} +(-0.0616611 - 3.96613i) q^{57} +(8.59773 + 7.21435i) q^{58} +(-3.53619 - 2.96722i) q^{59} +(0.116288 + 0.604402i) q^{60} +(-1.65318 + 4.54209i) q^{61} +(-5.24198 - 9.07937i) q^{62} +(0.464795 + 7.92363i) q^{63} +(4.41725 - 7.65090i) q^{64} +(1.55361 + 1.85152i) q^{65} +(-7.25475 + 2.76897i) q^{66} +(0.408498 - 2.31671i) q^{67} +(-0.925991 + 0.337033i) q^{68} +(-3.72566 + 4.58291i) q^{69} +(-3.84258 + 0.105701i) q^{70} +(7.52345 + 4.34366i) q^{71} +(7.66578 - 4.74954i) q^{72} +(0.768958 + 0.443958i) q^{73} +(5.41499 + 6.45334i) q^{74} +(6.12995 + 2.12380i) q^{75} +(0.248506 + 0.682766i) q^{76} +(1.83485 + 8.95799i) q^{77} +(2.35871 - 4.23614i) q^{78} +(-2.34942 - 13.3242i) q^{79} +(1.82835 + 3.16679i) q^{80} +(8.98261 - 0.559284i) q^{81} +(8.18876 + 4.72778i) q^{82} +(0.171662 - 0.144041i) q^{83} +(-0.555599 - 1.34356i) q^{84} +(0.604081 - 3.42591i) q^{85} +(7.83459 + 1.38145i) q^{86} +(-9.81005 - 11.3287i) q^{87} +(7.95836 - 6.67786i) q^{88} -0.204873 q^{89} +(0.135497 + 4.35662i) q^{90} +(-4.47294 - 3.54830i) q^{91} +(0.370023 - 1.01663i) q^{92} +(4.99164 + 13.0782i) q^{93} +(11.5256 + 2.03228i) q^{94} +(-2.52605 - 0.445410i) q^{95} +(-1.94132 + 2.38800i) q^{96} +(-5.66132 + 15.5543i) q^{97} +(8.84225 - 2.06601i) q^{98} +(10.1499 - 2.11698i) 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 $

$2$	−1.27749	+	0.225257i	−0.903325	+	0.159280i	−0.605971	−	0.795487i	$-0.707215\pi$
$2$	−1.27749	+	0.225257i	−0.903325	+	0.159280i	−0.297354	+	0.954767i	$0.596104\pi$
$3$	1.73184	−	0.0269248i	0.999879	−	0.0155451i
$3$	1.73184	−	0.0269248i	0.999879	−	0.0155451i
$4$	−0.298135	+	0.108512i	−0.149068	+	0.0542562i
$5$	0.194492	−	1.10302i	0.0869794	−	0.493285i	−0.909932	−	0.414756i	$-0.863867\pi$
$5$	0.194492	−	1.10302i	0.0869794	−	0.493285i	0.996912	−	0.0785284i	$-0.0250221\pi$
$6$	−2.20635	+	0.424505i	−0.900739	+	0.173303i
$7$	0.0727513	+	2.64475i	0.0274974	+	0.999622i
$7$	0.0727513	+	2.64475i	0.0274974	+	0.999622i
$8$	2.60324	−	1.50298i	0.920385	−	0.531384i
$9$	2.99855	−	0.0932590i	0.999517	−	0.0310863i
$10$			1.45291i			0.459450i
$11$	3.40359	−	0.600145i	1.02622	−	0.180950i	0.364895	−	0.931049i	$-0.381105\pi$
$11$	3.40359	−	0.600145i	1.02622	−	0.180950i	0.661326	+	0.750098i	$0.269994\pi$
$12$	−0.513401	+	0.195953i	−0.148206	+	0.0565669i
$13$	−1.38711	+	1.65309i	−0.384715	+	0.458486i	−0.923297	−	0.384088i	$-0.874516\pi$
$13$	−1.38711	+	1.65309i	−0.384715	+	0.458486i	0.538581	+	0.842573i	$0.318960\pi$
$14$	−0.688687	−	3.36227i	−0.184059	−	0.898603i
$15$	0.307131	−	1.91549i	0.0793008	−	0.494577i
$16$	−2.50098	+	2.09857i	−0.625246	+	0.524644i
$17$	3.10594			0.753302			0.376651	−	0.926355i	$-0.377076\pi$
$17$	3.10594			0.753302			0.376651	+	0.926355i	$0.377076\pi$
$18$	−3.80962	+	0.794581i	−0.897937	+	0.187285i
$19$		−	2.29012i		−	0.525390i	−0.964879	−	0.262695i	$-0.915389\pi$
$19$		−	2.29012i		−	0.525390i	0.964879	−	0.262695i	$-0.0846113\pi$
$20$	0.0617062	+	0.349953i	0.0137979	+	0.0782520i
$21$	0.197203	+	4.57833i	0.0430333	+	0.999074i
$22$	−4.21288	+	1.53336i	−0.898189	+	0.326914i
$23$	−2.19188	+	2.61218i	−0.457039	+	0.544678i	−0.944519	−	0.328456i	$-0.893472\pi$
$23$	−2.19188	+	2.61218i	−0.457039	+	0.544678i	0.487480	+	0.873134i	$0.337916\pi$
$24$	4.46793	−	2.67302i	0.912013	−	0.545628i
$25$	3.51964	+	1.28104i	0.703928	+	0.256209i
$26$	1.39965	−	2.42427i	0.274495	−	0.475439i
$27$	5.19050	−	0.242245i	0.998913	−	0.0466201i
$28$	−0.308678	−	0.780599i	−0.0583346	−	0.147519i
$29$	−5.56147	−	6.62791i	−1.03274	−	1.23077i	−0.972577	−	0.232583i	$-0.925282\pi$
$29$	−5.56147	−	6.62791i	−1.03274	−	1.23077i	−0.0601632	−	0.998189i	$-0.519162\pi$
$30$	0.0391193	+	2.51621i	0.00714218	+	0.459395i
$31$	2.76420	+	7.59457i	0.496465	+	1.36403i	0.894669	+	0.446729i	$0.147411\pi$
$31$	2.76420	+	7.59457i	0.496465	+	1.36403i	−0.398204	+	0.917297i	$0.630367\pi$
$32$	−1.14212	+	1.36112i	−0.201900	+	0.240615i
$33$	5.87832	−	1.13100i	1.02328	−	0.196881i
$34$	−3.96782	+	0.699634i	−0.680476	+	0.119986i
$35$	2.93136	+	0.434137i	0.495490	+	0.0733825i
$36$	−0.883854	+	0.353183i	−0.147309	+	0.0588639i
$37$	−3.24708	−	5.62411i	−0.533817	−	0.924598i	−0.999220	−	0.0394987i	$-0.987424\pi$
$37$	−3.24708	−	5.62411i	−0.533817	−	0.924598i	0.465403	−	0.885099i	$-0.345909\pi$
$38$	0.515865	+	2.92562i	0.0836844	+	0.474598i
$39$	−2.35775	+	2.90024i	−0.377542	+	0.464411i
$40$	−1.15151	−	3.16374i	−0.182069	−	0.500231i
$41$	−5.58386	−	4.68541i	−0.872052	−	0.731738i	0.0924774	−	0.995715i	$-0.470521\pi$
$41$	−5.58386	−	4.68541i	−0.872052	−	0.731738i	−0.964529	+	0.263976i	$0.914966\pi$
$42$	−1.28323	−	5.80437i	−0.198006	−	0.895633i
$43$	−5.76293	−	2.09753i	−0.878838	−	0.319871i	−0.137097	−	0.990558i	$-0.543777\pi$
$43$	−5.76293	−	2.09753i	−0.878838	−	0.319871i	−0.741741	+	0.670687i	$0.766000\pi$
$44$	−0.949607	+	0.548256i	−0.143159	+	0.0826527i
$45$	0.480327	−	3.32559i	0.0716030	−	0.495750i
$46$	2.21171	−	3.83079i	0.326098	−	0.564819i
$47$	−8.47795	−	3.08572i	−1.23664	−	0.450099i	−0.360771	−	0.932654i	$-0.617486\pi$
$47$	−8.47795	−	3.08572i	−1.23664	−	0.450099i	−0.875865	+	0.482556i	$0.839709\pi$
$48$	−4.27480	+	3.70174i	−0.617015	+	0.534300i
$49$	−6.98941	+	0.384818i	−0.998488	+	0.0549740i
$50$	−4.78488	−	0.843704i	−0.676685	−	0.119318i
$51$	5.37900	−	0.0836270i	0.753211	−	0.0117101i
$52$	0.234165	−	0.643364i	0.0324729	−	0.0892185i
$53$	−1.56288	+	0.902330i	−0.214678	+	0.123945i	−0.603484	−	0.797375i	$-0.706221\pi$
$53$	−1.56288	+	0.902330i	−0.214678	+	0.123945i	0.388805	+	0.921320i	$0.372888\pi$
$54$	−6.57627	+	1.47866i	−0.894917	+	0.201220i
$55$		−	3.87095i		−	0.521958i
$56$	4.16440	+	6.77558i	0.556492	+	0.905425i
$57$	−0.0616611	−	3.96613i	−0.00816722	−	0.525327i
$58$	8.59773	+	7.21435i	1.12894	+	0.947291i
$59$	−3.53619	−	2.96722i	−0.460373	−	0.386299i	0.382895	−	0.923792i	$-0.374927\pi$
$59$	−3.53619	−	2.96722i	−0.460373	−	0.386299i	−0.843268	+	0.537493i	$0.819372\pi$
$60$	0.116288	+	0.604402i	0.0150127	+	0.0780280i
$61$	−1.65318	+	4.54209i	−0.211669	+	0.581554i	−0.999406	−	0.0344564i	$-0.989030\pi$
$61$	−1.65318	+	4.54209i	−0.211669	+	0.581554i	0.787738	+	0.616011i	$0.211252\pi$
$62$	−5.24198	−	9.07937i	−0.665732	−	1.15308i
$63$	0.464795	+	7.92363i	0.0585587	+	0.998284i
$64$	4.41725	−	7.65090i	0.552156	−	0.956363i
$65$	1.55361	+	1.85152i	0.192702	+	0.229653i
$66$	−7.25475	+	2.76897i	−0.892998	+	0.340837i
$67$	0.408498	−	2.31671i	0.0499060	−	0.283031i	−0.949634	−	0.313361i	$-0.898545\pi$
$67$	0.408498	−	2.31671i	0.0499060	−	0.283031i	0.999540	+	0.0303304i	$0.00965596\pi$
$68$	−0.925991	+	0.337033i	−0.112293	+	0.0408713i
$69$	−3.72566	+	4.58291i	−0.448517	+	0.551717i
$70$	−3.84258	+	0.105701i	−0.459277	+	0.0126337i
$71$	7.52345	+	4.34366i	0.892869	+	0.515498i	0.874880	−	0.484340i	$-0.160940\pi$
$71$	7.52345	+	4.34366i	0.892869	+	0.515498i	0.0179890	+	0.999838i	$0.494274\pi$
$72$	7.66578	−	4.74954i	0.903421	−	0.559739i
$73$	0.768958	+	0.443958i	0.0899998	+	0.0519614i	0.544324	−	0.838875i	$-0.316786\pi$
$73$	0.768958	+	0.443958i	0.0899998	+	0.0519614i	−0.454325	+	0.890836i	$0.650119\pi$
$74$	5.41499	+	6.45334i	0.629480	+	0.750185i
$75$	6.12995	+	2.12380i	0.707826	+	0.245235i
$76$	0.248506	+	0.682766i	0.0285056	+	0.0783186i
$77$	1.83485	+	8.95799i	0.209100	+	1.02086i
$78$	2.35871	−	4.23614i	0.267071	−	0.479649i
$79$	−2.34942	−	13.3242i	−0.264330	−	1.49909i	−0.770936	−	0.636913i	$-0.780211\pi$
$79$	−2.34942	−	13.3242i	−0.264330	−	1.49909i	0.506606	−	0.862178i	$-0.330900\pi$
$80$	1.82835	+	3.16679i	0.204415	+	0.354058i
$81$	8.98261	−	0.559284i	0.998067	−	0.0621427i
$82$	8.18876	+	4.72778i	0.904297	+	0.522096i
$83$	0.171662	−	0.144041i	0.0188423	−	0.0158106i	−0.633318	−	0.773892i	$-0.718307\pi$
$83$	0.171662	−	0.144041i	0.0188423	−	0.0158106i	0.652160	+	0.758081i	$0.273863\pi$
$84$	−0.555599	−	1.34356i	−0.0606208	−	0.146595i
$85$	0.604081	−	3.42591i	0.0655218	−	0.371592i
$86$	7.83459	+	1.38145i	0.844825	+	0.148966i
$87$	−9.81005	−	11.3287i	−1.05175	−	1.21457i
$88$	7.95836	−	6.67786i	0.848364	−	0.711862i
$89$	−0.204873			−0.0217165			−0.0108583	−	0.999941i	$-0.503456\pi$
$89$	−0.204873			−0.0217165			−0.0108583	+	0.999941i	$0.503456\pi$
$90$	0.135497	+	4.35662i	0.0142826	+	0.459228i
$91$	−4.47294	−	3.54830i	−0.468891	−	0.371963i
$92$	0.370023	−	1.01663i	0.0385776	−	0.105991i
$93$	4.99164	+	13.0782i	0.517609	+	1.35614i
$94$	11.5256	+	2.03228i	1.18878	+	0.209613i
$95$	−2.52605	−	0.445410i	−0.259167	−	0.0456981i
$96$	−1.94132	+	2.38800i	−0.198135	+	0.243725i
$97$	−5.66132	+	15.5543i	−0.574820	+	1.57930i	0.221974	+	0.975053i	$0.428750\pi$
$97$	−5.66132	+	15.5543i	−0.574820	+	1.57930i	−0.796794	+	0.604252i	$0.793472\pi$
$98$	8.84225	−	2.06601i	0.893202	−	0.208699i
$99$	10.1499	−	2.11698i	1.02010	−	0.212764i
$100$	−1.18834			−0.118834
$101$	−7.43666	+	6.24010i	−0.739975	+	0.620913i	−0.932831	−	0.360314i	$-0.882670\pi$
$101$	−7.43666	+	6.24010i	−0.739975	+	0.620913i	0.192856	+	0.981227i	$0.438225\pi$
$102$	−6.85280	+	1.31849i	−0.678529	+	0.130550i
$103$	18.2550	+	3.21885i	1.79872	+	0.317163i	0.970110	−	0.242665i	$-0.0780216\pi$
$103$	18.2550	+	3.21885i	1.79872	+	0.317163i	0.828609	+	0.559828i	$0.189133\pi$
$104$	−1.12641	+	6.38820i	−0.110454	+	0.626415i
$105$	5.08834	+	0.672930i	0.496571	+	0.0656712i
$106$	1.79332	−	1.50477i	0.174182	−	0.146156i
$107$	8.36447	+	4.82923i	0.808624	+	0.466859i	0.846478	−	0.532424i	$-0.178719\pi$
$107$	8.36447	+	4.82923i	0.808624	+	0.466859i	−0.0378540	+	0.999283i	$0.512052\pi$
$108$	−1.52118	+	0.635455i	−0.146376	+	0.0611467i
$109$	−1.81292	−	3.14007i	−0.173646	−	0.300764i	0.766046	−	0.642786i	$-0.222222\pi$
$109$	−1.81292	−	3.14007i	−0.173646	−	0.300764i	−0.939692	+	0.342022i	$0.888888\pi$
$110$	0.871956	+	4.94511i	0.0831378	+	0.471498i
$111$	−5.77486	−	9.65264i	−0.548125	−	0.916188i
$112$	−5.73216	−	6.46181i	−0.541638	−	0.610583i
$113$	0.232529	+	0.638868i	0.0218745	+	0.0600996i	0.950149	−	0.311795i	$-0.100930\pi$
$113$	0.232529	+	0.638868i	0.0218745	+	0.0600996i	−0.928275	+	0.371895i	$0.878708\pi$
$114$	0.972168	+	5.05282i	0.0910519	+	0.473240i
$115$	2.45498	+	2.92574i	0.228928	+	0.272826i
$116$	2.37728	+	1.37252i	0.220725	+	0.127436i
$117$	−4.00515	+	5.08625i	−0.370277	+	0.470224i
$118$	5.18585	+	2.99405i	0.477396	+	0.275625i
$119$	0.225961	+	8.21445i	0.0207138	+	0.753017i
$120$	−2.07941	−	5.44809i	−0.189823	−	0.497341i
$121$	0.887634	−	0.323072i	0.0806940	−	0.0293702i
$122$	1.08880	−	6.17488i	0.0985751	−	0.559047i
$123$	−9.79651	−	7.96405i	−0.883321	−	0.718094i
$124$	−1.64821	−	1.96426i	−0.148014	−	0.176396i
$125$	4.89764	−	8.48297i	0.438059	−	0.758740i
$126$	−2.37862	−	10.0177i	−0.211905	−	0.892447i
$127$	10.6145	+	18.3849i	0.941888	+	1.63140i	0.761865	+	0.647736i	$0.224284\pi$
$127$	10.6145	+	18.3849i	0.941888	+	1.63140i	0.180024	+	0.983662i	$0.442383\pi$
$128$	−2.70418	+	7.42966i	−0.239018	+	0.656696i
$129$	−10.0370	−	3.47743i	−0.883705	−	0.306171i
$130$	−2.40180	−	2.01535i	−0.210651	−	0.176758i
$131$	−5.73871	−	4.81535i	−0.501393	−	0.420719i	0.356695	−	0.934221i	$-0.383903\pi$
$131$	−5.73871	−	4.81535i	−0.501393	−	0.420719i	−0.858088	+	0.513502i	$0.828348\pi$
$132$	−1.62981	+	0.975060i	−0.141856	+	0.0848681i
$133$	6.05680	−	0.166609i	0.525191	−	0.0144469i
$134$			3.05160i			0.263618i
$135$	0.742310	−	5.77234i	0.0638879	−	0.496804i
$136$	8.08552	−	4.66818i	0.693328	−	0.400293i
$137$	2.84591	−	7.81907i	0.243142	−	0.668028i	−0.756755	−	0.653699i	$-0.773216\pi$
$137$	2.84591	−	7.81907i	0.243142	−	0.668028i	0.999897	−	0.0143297i	$-0.00456143\pi$
$138$	3.72718	−	6.69386i	0.317279	−	0.569820i
$139$	−16.6292	−	2.93217i	−1.41047	−	0.248704i	−0.584031	−	0.811732i	$-0.698525\pi$
$139$	−16.6292	−	2.93217i	−1.41047	−	0.248704i	−0.826438	+	0.563028i	$0.809636\pi$
$140$	−0.921050	+	0.188657i	−0.0778430	+	0.0159444i
$141$	−14.7656	−	5.11571i	−1.24348	−	0.430821i
$142$	−10.5896	−	3.85430i	−0.888659	−	0.323445i
$143$	−3.72906	+	6.45892i	−0.311840	+	0.540122i
$144$	−7.30361	+	6.52592i	−0.608635	+	0.543827i
$145$	−8.39237	+	4.84533i	−0.696948	+	0.402383i
$146$	−1.08234	−	0.393941i	−0.0895754	−	0.0326028i
$147$	−12.0942	+	0.854633i	−0.997513	+	0.0704889i
$148$	1.57835	+	1.32440i	0.129740	+	0.108865i
$149$	−7.46545	−	20.5112i	−0.611593	−	1.68034i	−0.726674	−	0.686983i	$-0.758935\pi$
$149$	−7.46545	−	20.5112i	−0.611593	−	1.68034i	0.115080	−	0.993356i	$-0.463288\pi$
$150$	−8.30938	−	1.33233i	−0.678458	−	0.108784i
$151$	−2.64937	−	15.0253i	−0.215603	−	1.22274i	−0.879857	−	0.475238i	$-0.842362\pi$
$151$	−2.64937	−	15.0253i	−0.215603	−	1.22274i	0.664255	−	0.747506i	$-0.268749\pi$
$152$	−3.44201	−	5.96174i	−0.279184	−	0.483561i
$153$	9.31333	−	0.289657i	0.752938	−	0.0234174i
$154$	−4.36185	−	11.0305i	−0.351488	−	0.888860i
$155$	8.91457	−	1.57188i	0.716036	−	0.126256i
$156$	0.388215	−	1.12051i	0.0310821	−	0.0897125i
$157$	−4.12579	+	4.91693i	−0.329274	+	0.392413i	−0.905128	−	0.425139i	$-0.860225\pi$
$157$	−4.12579	+	4.91693i	−0.329274	+	0.392413i	0.575854	+	0.817553i	$0.304670\pi$
$158$	6.00273	+	16.4924i	0.477552	+	1.31206i
$159$	−2.68237	+	1.60477i	−0.212726	+	0.127267i
$160$	1.27921	+	1.52451i	0.101131	+	0.120523i
$161$	−7.06804	−	5.60695i	−0.557040	−	0.441889i
$162$	−11.3492	+	2.73787i	−0.891681	+	0.215108i
$163$	4.61932	−	8.00090i	0.361813	−	0.626679i	−0.626446	−	0.779465i	$-0.715491\pi$
$163$	4.61932	−	8.00090i	0.361813	−	0.626679i	0.988259	+	0.152786i	$0.0488245\pi$
$164$	2.17317	+	0.790969i	0.169696	+	0.0617643i
$165$	−0.104225	−	6.70387i	−0.00811387	−	0.521895i
$166$	−0.186851	+	0.222680i	−0.0145024	+	0.0172833i
$167$	18.6355	−	6.78276i	1.44206	−	0.524866i	0.501696	−	0.865044i	$-0.332710\pi$
$167$	18.6355	−	6.78276i	1.44206	−	0.524866i	0.940361	+	0.340178i	$0.110487\pi$
$168$	7.39452	+	11.6221i	0.570499	+	0.896665i
$169$	1.44878	+	8.21645i	0.111445	+	0.632035i
$170$			4.51266i			0.346105i
$171$	−0.213575	−	6.86705i	−0.0163325	−	0.525136i
$172$	1.94574			0.148361
$173$	−15.2196	+	12.7708i	−1.15713	+	0.970944i	−0.999862	−	0.0166126i	$-0.994712\pi$
$173$	−15.2196	+	12.7708i	−1.15713	+	0.970944i	−0.157264	+	0.987557i	$0.550267\pi$
$174$	15.0841	+	12.2626i	1.14353	+	0.929627i
$175$	−3.13198	+	9.40177i	−0.236756	+	0.710707i
$176$	−7.25288	+	8.64364i	−0.546706	+	0.651539i
$177$	−6.20402	−	5.04354i	−0.466323	−	0.379096i
$178$	0.261725	−	0.0461491i	0.0196171	−	0.00345902i
$179$			3.20921i			0.239868i	0.992782	+	0.119934i	$0.0382683\pi$
$179$			3.20921i			0.239868i	−0.992782	+	0.119934i	$0.961732\pi$
$180$	0.217666	+	1.04360i	0.0162238	+	0.0777852i
$181$	−10.2749	+	5.93220i	−0.763726	+	0.440937i	−0.830632	−	0.556822i	$-0.812021\pi$
$181$	−10.2749	+	5.93220i	−0.763726	+	0.440937i	0.0669061	+	0.997759i	$0.478687\pi$
$182$	6.51342	+	3.52537i	0.482807	+	0.261318i
$183$	−2.74076	+	7.91068i	−0.202603	+	0.584775i
$184$	−1.77993	+	10.0945i	−0.131218	+	0.744177i
$185$	−6.83503	+	2.48775i	−0.502521	+	0.182903i
$186$	−9.32273	−	15.5829i	−0.683576	−	1.14259i
$187$	10.5714	−	1.86402i	0.773054	−	0.136310i
$188$	2.86241			0.208763
$189$	1.01829	+	13.7100i	0.0740700	+	0.997253i
$190$	3.32734			0.241391
$191$	11.0750	−	1.95283i	0.801362	−	0.141302i	0.242055	−	0.970262i	$-0.422178\pi$
$191$	11.0750	−	1.95283i	0.801362	−	0.141302i	0.559307	+	0.828961i	$0.311067\pi$
$192$	7.44398	−	13.3691i	0.537223	−	0.964831i
$193$	18.0902	−	6.58428i	1.30216	−	0.473947i	0.404459	−	0.914556i	$-0.367460\pi$
$193$	18.0902	−	6.58428i	1.30216	−	0.473947i	0.897699	+	0.440609i	$0.145238\pi$
$194$	3.72858	−	21.1458i	0.267696	−	1.51818i
$195$	2.74046	+	3.16471i	0.196248	+	0.226630i
$196$	2.04203	−	0.873165i	0.145859	−	0.0623690i
$197$	−6.15694	+	3.55471i	−0.438664	+	0.253263i	−0.703031	−	0.711160i	$-0.748170\pi$
$197$	−6.15694	+	3.55471i	−0.438664	+	0.253263i	0.264367	+	0.964422i	$0.414837\pi$
$198$	−12.4895	+	4.99075i	−0.887592	+	0.354677i
$199$			5.58860i			0.396165i	0.980185	+	0.198083i	$0.0634714\pi$
$199$			5.58860i			0.396165i	−0.980185	+	0.198083i	$0.936529\pi$
$200$	11.0879	−	1.95509i	0.784030	−	0.138246i
$201$	0.645077	−	4.02317i	0.0455002	−	0.283773i
$202$	8.09466	−	9.64684i	0.569539	−	0.678750i
$203$	17.1246	−	15.1909i	1.20191	−	1.06619i
$204$	−1.59460	+	0.608620i	−0.111644	+	0.0426119i
$205$	−6.25411	+	5.24782i	−0.436806	+	0.366524i
$206$	−24.0457			−1.67535
$207$	−6.32886	+	8.03718i	−0.439886	+	0.558623i
$208$		−	7.04532i		−	0.488505i
$209$	−1.37440	−	7.79464i	−0.0950696	−	0.539166i
$210$	−6.65190	+	0.286518i	−0.459025	+	0.0197716i
$211$	14.8632	−	5.40977i	1.02323	−	0.372424i	0.224729	−	0.974421i	$-0.427850\pi$
$211$	14.8632	−	5.40977i	1.02323	−	0.372424i	0.798498	+	0.601997i	$0.205628\pi$
$212$	0.368036	−	0.438608i	0.0252768	−	0.0301237i
$213$	13.1464	+	7.31997i	0.900774	+	0.501556i
$214$	−11.7734	−	4.28516i	−0.804811	−	0.292927i
$215$	−3.43446	+	5.94866i	−0.234228	+	0.405695i
$216$	13.1480	−	8.43186i	0.894611	−	0.573715i
$217$	−19.8847	+	7.86313i	−1.34986	+	0.533784i
$218$	3.02332	+	3.60305i	0.204765	+	0.244029i
$219$	1.34367	+	0.748161i	0.0907966	+	0.0505561i
$220$	0.420045	+	1.15407i	0.0283195	+	0.0778071i
$221$	−4.30829	+	5.13442i	−0.289807	+	0.345378i
$222$	9.55166	+	11.0304i	0.641066	+	0.740309i
$223$	8.98448	−	1.58421i	0.601645	−	0.106086i	0.135474	−	0.990781i	$-0.456744\pi$
$223$	8.98448	−	1.58421i	0.601645	−	0.106086i	0.466171	+	0.884695i	$0.345633\pi$
$224$	−3.68293	−	2.92160i	−0.246076	−	0.195207i
$225$	10.6733	+	3.51304i	0.711552	+	0.234202i
$226$	−0.440964	−	0.763771i	−0.0293325	−	0.0508053i
$227$	0.0310321	+	0.175992i	0.00205967	+	0.0116810i	0.985820	−	0.167805i	$-0.0536678\pi$
$227$	0.0310321	+	0.175992i	0.00205967	+	0.0116810i	−0.983761	+	0.179486i	$0.942557\pi$
$228$	0.448757	+	1.17575i	0.0297197	+	0.0778660i
$229$	−1.14080	−	3.13431i	−0.0753860	−	0.207121i	0.896276	−	0.443497i	$-0.146262\pi$
$229$	−1.14080	−	3.13431i	−0.0753860	−	0.207121i	−0.971662	+	0.236376i	$0.924040\pi$
$230$	−3.79527	−	3.18461i	−0.250253	−	0.209987i
$231$	3.41886	+	15.4644i	0.224944	+	1.01748i
$232$	−24.4395	−	8.89524i	−1.60453	−	0.584001i
$233$	−21.5975	+	12.4693i	−1.41490	+	0.816891i	−0.995844	−	0.0910706i	$-0.970971\pi$
$233$	−21.5975	+	12.4693i	−1.41490	+	0.816891i	−0.419053	+	0.907962i	$0.637638\pi$
$234$	3.97085	−	7.39983i	0.259583	−	0.483742i
$235$	−5.05250	+	8.75119i	−0.329589	+	0.570865i
$236$	1.37624	+	0.500912i	0.0895858	+	0.0326066i
$237$	−4.42757	−	23.0122i	−0.287602	−	1.49480i
$238$	−2.13902	−	10.4430i	−0.138652	−	0.676920i
$239$	0.740457	+	0.130563i	0.0478962	+	0.00844539i	0.197545	−	0.980294i	$-0.436703\pi$
$239$	0.740457	+	0.130563i	0.0478962	+	0.00844539i	−0.149649	+	0.988739i	$0.547814\pi$
$240$	3.25167	+	5.43515i	0.209894	+	0.350837i
$241$	−1.14049	+	3.13348i	−0.0734657	+	0.201845i	−0.970990	−	0.239119i	$-0.923141\pi$
$241$	−1.14049	+	3.13348i	−0.0734657	+	0.201845i	0.897525	+	0.440965i	$0.145364\pi$
$242$	−1.06117	+	0.612668i	−0.0682148	+	0.0393838i
$243$	15.5414	−	1.21045i	0.996981	−	0.0776502i
$244$		−	1.53355i		−	0.0981752i
$245$	−0.934923	+	7.78430i	−0.0597301	+	0.497321i
$246$	14.3089	+	7.96729i	0.912304	+	0.507976i
$247$	3.78579	+	3.17665i	0.240884	+	0.202126i
$248$	18.6104	+	15.6160i	1.18176	+	0.991615i
$249$	0.293413	−	0.254079i	0.0185943	−	0.0161016i
$250$	−4.34586	+	11.9402i	−0.274857	+	0.755162i
$251$	−7.22428	−	12.5128i	−0.455993	−	0.789803i	0.542752	−	0.839893i	$-0.317382\pi$
$251$	−7.22428	−	12.5128i	−0.455993	−	0.789803i	−0.998745	+	0.0500905i	$0.984049\pi$
$252$	−0.998384	−	2.31188i	−0.0628923	−	0.145635i
$253$	−5.89258	+	10.2063i	−0.370464	+	0.641662i
$254$	−17.7013	−	21.0956i	−1.11068	−	1.32366i
$255$	0.953930	−	5.94940i	0.0597374	−	0.372566i
$256$	−1.28720	+	7.30009i	−0.0804501	+	0.456255i
$257$	−9.45698	+	3.44206i	−0.589910	+	0.214710i	−0.619690	−	0.784847i	$-0.712742\pi$
$257$	−9.45698	+	3.44206i	−0.589910	+	0.214710i	0.0297799	+	0.999556i	$0.490519\pi$
$258$	13.6055	+	2.18151i	0.847039	+	0.135815i
$259$	14.6381	−	8.99688i	0.909569	−	0.559039i
$260$	−0.664099	−	0.383418i	−0.0411857	−	0.0237786i
$261$	−17.2945	−	19.3555i	−1.07050	−	1.19807i
$262$	8.41585	+	4.85889i	0.519933	+	0.300184i
$263$	−0.936984	−	1.11665i	−0.0577769	−	0.0688558i	0.736382	−	0.676566i	$-0.236533\pi$
$263$	−0.936984	−	1.11665i	−0.0577769	−	0.0688558i	−0.794159	+	0.607710i	$0.792088\pi$
$264$	13.6028	−	11.7793i	0.837196	−	0.724964i
$265$	0.691319	+	1.89938i	0.0424674	+	0.116678i
$266$	−7.70000	+	1.57718i	−0.472117	+	0.0967029i
$267$	−0.354808	+	0.00551618i	−0.0217139	+	0.000337585i
$268$	0.129604	+	0.735020i	0.00791681	+	0.0448985i
$269$	−1.24773	−	2.16113i	−0.0760753	−	0.131766i	0.825478	−	0.564434i	$-0.190906\pi$
$269$	−1.24773	−	2.16113i	−0.0760753	−	0.131766i	−0.901553	+	0.432668i	$0.857572\pi$
$270$	0.351961	+	7.54133i	0.0214196	+	0.458951i
$271$	−25.2165	−	14.5588i	−1.53179	−	0.884382i	−0.999279	−	0.0379619i	$-0.987913\pi$
$271$	−25.2165	−	14.5588i	−1.53179	−	0.884382i	−0.532516	−	0.846420i	$-0.678753\pi$
$272$	−7.76792	+	6.51806i	−0.470999	+	0.395215i
$273$	−7.84195	−	6.02465i	−0.474617	−	0.364629i
$274$	−1.87433	+	10.6299i	−0.113233	+	0.642174i
$275$	12.7482	+	2.24786i	0.768747	+	0.135551i
$276$	0.613449	−	1.77061i	0.0369253	−	0.106578i
$277$	5.55286	−	4.65940i	0.333639	−	0.279956i	−0.460542	−	0.887638i	$-0.652345\pi$
$277$	5.55286	−	4.65940i	0.333639	−	0.279956i	0.794181	+	0.607682i	$0.207900\pi$
$278$	21.9042			1.31372
$279$	8.99685	+	22.5149i	0.538627	+	1.34793i
$280$	8.28353	−	3.27562i	0.495036	−	0.195756i
$281$	5.95356	−	16.3573i	0.355160	−	0.975794i	−0.625526	−	0.780203i	$-0.715116\pi$
$281$	5.95356	−	16.3573i	0.355160	−	0.975794i	0.980686	−	0.195590i	$-0.0626623\pi$
$282$	20.0153	+	3.20926i	1.19189	+	0.191108i
$283$	−17.4136	−	3.07048i	−1.03513	−	0.182521i	−0.369831	−	0.929099i	$-0.620584\pi$
$283$	−17.4136	−	3.07048i	−1.03513	−	0.182521i	−0.665298	+	0.746578i	$0.731696\pi$
$284$	−2.71434	−	0.478612i	−0.161067	−	0.0284004i
$285$	−4.38671	−	0.703367i	−0.259846	−	0.0416638i
$286$	3.30894	−	9.09123i	0.195661	−	0.537576i
$287$	11.9855	−	15.1088i	0.707482	−	0.891843i
$288$	−3.29776	+	4.18791i	−0.194323	+	0.246775i
$289$	−7.35311			−0.432536
$290$	9.62975	−	8.08032i	0.565478	−	0.474493i
$291$	−9.38571	+	27.0901i	−0.550200	+	1.58805i
$292$	−0.277428	−	0.0489181i	−0.0162353	−	0.00286272i
$293$	−3.33188	+	18.8960i	−0.194650	+	1.10392i	0.718265	+	0.695769i	$0.244936\pi$
$293$	−3.33188	+	18.8960i	−0.194650	+	1.10392i	−0.912916	+	0.408148i	$0.866175\pi$
$294$	15.2578	−	3.81609i	0.889850	−	0.222559i
$295$	−3.96066	+	3.32339i	−0.230599	+	0.193495i
$296$	−16.9059	−	9.76061i	−0.982634	−	0.567324i
$297$	17.5210	−	3.93956i	1.01667	−	0.228596i
$298$	14.1573	+	24.5212i	0.820113	+	1.42048i
$299$	−1.27780	−	7.24678i	−0.0738972	−	0.419092i
$300$	−2.05801	+	0.0319958i	−0.118819	+	0.00184728i
$301$	5.12820	−	15.3941i	0.295584	−	0.887302i
$302$	6.76911	+	18.5980i	0.389519	+	1.07019i
$303$	−12.7111	+	11.0071i	−0.730234	+	0.632341i
$304$	4.80599	+	5.72756i	0.275643	+	0.328498i
$305$	4.68847	+	2.70689i	0.268461	+	0.154996i
$306$	−11.8325	+	2.46792i	−0.676417	+	0.141082i
$307$	21.4370	+	12.3766i	1.22347	+	0.706372i	0.965657	−	0.259822i	$-0.0836638\pi$
$307$	21.4370	+	12.3766i	1.22347	+	0.706372i	0.257816	+	0.966194i	$0.416997\pi$
$308$	−1.51909	−	2.47159i	−0.0865579	−	0.140832i
$309$	31.7014	+	5.08303i	1.80343	+	0.289163i
$310$	−11.0342	+	4.01613i	−0.626702	+	0.228101i
$311$	0.297483	−	1.68711i	0.0168687	−	0.0956672i	−0.975211	−	0.221277i	$-0.928978\pi$
$311$	0.297483	−	1.68711i	0.0168687	−	0.0956672i	0.992080	+	0.125610i	$0.0400887\pi$
$312$	−1.77877	+	11.0937i	−0.100703	+	0.628056i
$313$	11.6665	+	13.9036i	0.659432	+	0.785880i	0.987304	−	0.158842i	$-0.0507760\pi$
$313$	11.6665	+	13.9036i	0.659432	+	0.785880i	−0.327872	+	0.944722i	$0.606332\pi$
$314$	4.16310	−	7.21071i	0.234937	−	0.406924i
$315$	8.83031	+	1.02840i	0.497532	+	0.0579440i
$316$	2.14628	+	3.71747i	0.120738	+	0.209124i
$317$	9.12297	−	25.0651i	0.512397	−	1.40780i	−0.366335	−	0.930483i	$-0.619388\pi$
$317$	9.12297	−	25.0651i	0.512397	−	1.40780i	0.878732	−	0.477316i	$-0.158390\pi$
$318$	3.06522	−	2.65431i	0.171889	−	0.148846i
$319$	−22.9067	−	19.2210i	−1.28253	−	1.07617i
$320$	−7.57997	−	6.36035i	−0.423733	−	0.355554i
$321$	14.6160	+	8.13825i	0.815783	+	0.454233i
$322$	10.2924	+	5.57072i	0.573572	+	0.310444i
$323$		−	7.11299i		−	0.395777i
$324$	−2.61734	+	1.14147i	−0.145408	+	0.0634148i
$325$	−6.99982	+	4.04135i	−0.388280	+	0.224174i
$326$	−4.09890	+	11.2616i	−0.227017	+	0.623724i
$327$	−3.22424	−	5.38929i	−0.178301	−	0.298029i
$328$	−21.5782	−	3.80482i	−1.19146	−	0.210086i
$329$	7.54419	−	22.6466i	0.415924	−	1.24855i
$330$	1.64324	+	8.54067i	0.0904572	+	0.470148i
$331$	−0.198398	−	0.0722111i	−0.0109050	−	0.00396908i	0.336562	−	0.941661i	$-0.390736\pi$
$331$	−0.198398	−	0.0722111i	−0.0109050	−	0.00396908i	−0.347467	+	0.937692i	$0.612958\pi$
$332$	−0.0355482	+	0.0615713i	−0.00195096	+	0.00337916i
$333$	−10.2610	−	16.5614i	−0.562301	−	0.907556i
$334$	−22.2788	+	12.8627i	−1.21904	+	0.703816i
$335$	−2.47592	−	0.901162i	−0.135274	−	0.0492358i
$336$	−10.1012	−	11.0365i	−0.551064	−	0.602090i
$337$	−10.4352	−	8.75621i	−0.568444	−	0.476981i	0.312685	−	0.949857i	$-0.398771\pi$
$337$	−10.4352	−	8.75621i	−0.568444	−	0.476981i	−0.881129	+	0.472876i	$0.843216\pi$
$338$	−3.70162	−	10.1701i	−0.201342	−	0.553182i
$339$	0.419905	+	1.10016i	0.0228061	+	0.0597523i
$340$	0.191656	+	1.08694i	0.0103940	+	0.0589474i
$341$	13.9660	+	24.1899i	0.756304	+	1.30996i
$342$	1.81969	+	8.72450i	0.0983975	+	0.471767i
$343$	−1.52624	−	18.4573i	−0.0824090	−	0.996599i
$344$	−18.1548	+	3.20119i	−0.978844	+	0.172597i
$345$	4.33042	+	5.00081i	0.233142	+	0.269235i
$346$	16.5663	−	19.7429i	0.890608	−	1.06139i
$347$	8.71822	+	23.9531i	0.468019	+	1.28587i	0.919324	+	0.393501i	$0.128736\pi$
$347$	8.71822	+	23.9531i	0.468019	+	1.28587i	−0.451305	+	0.892370i	$0.649042\pi$
$348$	4.15403	+	2.31299i	0.222679	+	0.123989i
$349$	9.80955	+	11.6906i	0.525093	+	0.625782i	0.961777	−	0.273833i	$-0.0882916\pi$
$349$	9.80955	+	11.6906i	0.525093	+	0.625782i	−0.436684	+	0.899615i	$0.643847\pi$
$350$	1.88328	−	12.7162i	0.100666	−	0.679710i
$351$	−6.79935	+	8.91641i	−0.362922	+	0.475923i
$352$	−3.07043	+	5.31815i	−0.163655	+	0.283458i
$353$	−26.3417	−	9.58759i	−1.40203	−	0.510296i	−0.473248	−	0.880929i	$-0.656918\pi$
$353$	−26.3417	−	9.58759i	−1.40203	−	0.510296i	−0.928779	+	0.370633i	$0.879141\pi$
$354$	9.06169	+	5.04560i	0.481623	+	0.268171i
$355$	6.25439	−	7.45369i	0.331949	−	0.395601i
$356$	0.0610800	−	0.0222313i	0.00323723	−	0.00117826i
$357$	0.612502	+	14.2200i	0.0324170	+	0.752604i
$358$	−0.722896	−	4.09975i	−0.0382062	−	0.216678i
$359$			27.0056i			1.42530i	0.701520	+	0.712650i	$0.252505\pi$
$359$			27.0056i			1.42530i	−0.701520	+	0.712650i	$0.747495\pi$
$360$	−3.74790	−	9.37925i	−0.197532	−	0.494330i
$361$	13.7553			0.723965
$362$	11.7898	−	9.89284i	0.619660	−	0.519956i
$363$	1.52854	−	0.583409i	0.0802277	−	0.0306211i
$364$	1.71857	+	0.572503i	0.0900777	+	0.0300073i
$365$	0.639250	−	0.761829i	0.0334599	−	0.0398759i
$366$	1.71937	−	10.7232i	0.0898728	−	0.560512i
$367$	27.1129	−	4.78074i	1.41528	−	0.249552i	0.586874	−	0.809678i	$-0.300358\pi$
$367$	27.1129	−	4.78074i	1.41528	−	0.249552i	0.828408	+	0.560126i	$0.189247\pi$
$368$		−	11.1329i		−	0.580341i
$369$	−17.1804	−	13.5287i	−0.894377	−	0.704276i
$370$	8.17132	−	4.71772i	0.424807	−	0.245262i
$371$	−2.50014	−	4.06779i	−0.129801	−	0.211189i
$372$	−2.90733	−	3.35741i	−0.150738	−	0.174074i
$373$	−2.77059	+	15.7128i	−0.143456	+	0.813577i	0.825139	+	0.564930i	$0.191097\pi$
$373$	−2.77059	+	15.7128i	−0.143456	+	0.813577i	−0.968594	+	0.248647i	$0.920014\pi$
$374$	−13.0850	+	4.76254i	−0.676607	+	0.246265i
$375$	8.25354	−	14.8230i	0.426211	−	0.765458i
$376$	−26.7079	+	4.70933i	−1.37736	+	0.242865i
$377$	18.6709			0.961602
$378$	−4.38912	−	17.2850i	−0.225752	−	0.889045i
$379$	−0.969547			−0.0498023			−0.0249011	−	0.999690i	$-0.507927\pi$
$379$	−0.969547			−0.0498023			−0.0249011	+	0.999690i	$0.507927\pi$
$380$	0.801436	−	0.141315i	0.0411128	−	0.00724930i
$381$	18.8777	+	31.5540i	0.967135	+	1.61656i
$382$	−13.7084	+	4.98945i	−0.701383	+	0.255283i
$383$	−1.11578	+	6.32791i	−0.0570138	+	0.323341i	−0.999954	−	0.00962161i	$-0.996937\pi$
$383$	−1.11578	+	6.32791i	−0.0570138	+	0.323341i	0.942940	+	0.332963i	$0.108048\pi$
$384$	−4.48316	+	12.9398i	−0.228780	+	0.660332i
$385$	10.2377	−	0.281616i	0.521761	−	0.0143525i
$386$	−21.6269	+	12.4863i	−1.10078	+	0.635536i
$387$	−17.4760	−	5.75212i	−0.888357	−	0.292397i
$388$		−	5.25162i		−	0.266611i
$389$	8.31583	−	1.46630i	0.421629	−	0.0743446i	0.0411917	−	0.999151i	$-0.486885\pi$
$389$	8.31583	−	1.46630i	0.421629	−	0.0743446i	0.380437	+	0.924807i	$0.375773\pi$
$390$	−4.21379	−	3.42559i	−0.213374	−	0.173462i
$391$	−6.80787	+	8.11330i	−0.344289	+	0.410307i
$392$	−17.6168	+	11.5067i	−0.889781	+	0.581178i
$393$	−10.0682	−	8.18490i	−0.507873	−	0.412874i
$394$	7.06473	−	5.92801i	0.355916	−	0.298649i
$395$	−15.1538			−0.762470
$396$	−2.79631	+	1.73253i	−0.140520	+	0.0870630i
$397$			0.764587i			0.0383735i	0.999816	+	0.0191868i	$0.00610771\pi$
$397$			0.764587i			0.0383735i	−0.999816	+	0.0191868i	$0.993892\pi$
$398$	−1.25887	−	7.13940i	−0.0631014	−	0.357866i
$399$	10.4849	−	0.451619i	0.524903	−	0.0226092i
$400$	−11.4909	+	4.18236i	−0.574547	+	0.209118i
$401$	22.8564	−	27.2392i	1.14139	−	1.36026i	0.218209	−	0.975902i	$-0.429978\pi$
$401$	22.8564	−	27.2392i	1.14139	−	1.36026i	0.923184	−	0.384358i	$-0.125577\pi$
$402$	0.0821637	+	5.28489i	0.00409796	+	0.263586i
$403$	−16.3888	−	5.96503i	−0.816384	−	0.297139i
$404$	1.54000	−	2.66736i	0.0766180	−	0.132706i
$405$	1.13014	−	10.0168i	0.0561573	−	0.497737i
$406$	−18.4547	+	23.2637i	−0.915890	+	1.15456i
$407$	−14.4270	−	17.1934i	−0.715120	−	0.852247i
$408$	13.8772	−	8.30224i	0.687021	−	0.411022i
$409$	4.68797	+	12.8801i	0.231805	+	0.636880i	0.999994	−	0.00334320i	$-0.00106418\pi$
$409$	4.68797	+	12.8801i	0.231805	+	0.636880i	−0.768189	+	0.640223i	$0.778842\pi$
$410$	6.80748	−	8.11284i	0.336198	−	0.400665i
$411$	4.71814	−	13.6180i	0.232729	−	0.671727i
$412$	−5.79174	+	1.02124i	−0.285339	+	0.0503129i
$413$	7.59029	−	9.56822i	0.373494	−	0.470821i
$414$	6.27465	−	11.6931i	0.308382	−	0.574683i
$415$	−0.125494	−	0.217361i	−0.00616024	−	0.0106698i
$416$	−0.665821	−	3.77606i	−0.0326446	−	0.185137i
$417$	−28.8780	−	4.63032i	−1.41416	−	0.226748i
$418$	3.51159	+	9.64801i	0.171757	+	0.471899i
$419$	18.4427	+	15.4753i	0.900986	+	0.756017i	0.970383	−	0.241572i	$-0.0776630\pi$
$419$	18.4427	+	15.4753i	0.900986	+	0.756017i	−0.0693968	+	0.997589i	$0.522107\pi$
$420$	−1.59003	+	0.351523i	−0.0775857	+	0.0171526i
$421$	27.3264	+	9.94600i	1.33181	+	0.484738i	0.907223	−	0.420650i	$-0.138198\pi$
$421$	27.3264	+	9.94600i	1.33181	+	0.484738i	0.424585	+	0.905388i	$0.360420\pi$
$422$	−17.7691	+	10.2590i	−0.864986	+	0.499400i
$423$	−25.7093	−	8.46205i	−1.25003	−	0.411439i
$424$	−2.71237	+	4.69797i	−0.131724	+	0.228153i
$425$	10.9318	+	3.97885i	0.530270	+	0.193003i
$426$	−18.4433	−	6.38991i	−0.893580	−	0.309592i
$427$	−12.1330	−	4.04182i	−0.587155	−	0.195597i
$428$	−3.01777	−	0.532115i	−0.145870	−	0.0257207i
$429$	−6.28424	+	11.2862i	−0.303406	+	0.544904i
$430$	3.04753	−	8.37302i	0.146965	−	0.403783i
$431$	−22.3052	+	12.8779i	−1.07440	+	0.620307i	−0.929381	−	0.369121i	$-0.879659\pi$
$431$	−22.3052	+	12.8779i	−1.07440	+	0.620307i	−0.145022	+	0.989428i	$0.546325\pi$
$432$	−12.4730	+	11.4985i	−0.600107	+	0.553222i
$433$			2.53370i			0.121762i	0.998145	+	0.0608809i	$0.0193910\pi$
$433$			2.53370i			0.121762i	−0.998145	+	0.0608809i	$0.980609\pi$
$434$	23.6313	−	14.5243i	1.13434	−	0.697187i
$435$	−14.4038	+	8.61731i	−0.690609	+	0.413169i
$436$	0.881232	+	0.739441i	0.0422033	+	0.0354128i
$437$	5.98222	+	5.01968i	0.286168	+	0.240124i
$438$	−1.88506	−	0.653101i	−0.0900714	−	0.0312064i
$439$	−7.93921	+	21.8128i	−0.378918	+	1.04107i	0.592888	+	0.805285i	$0.297988\pi$
$439$	−7.93921	+	21.8128i	−0.378918	+	1.04107i	−0.971806	+	0.235783i	$0.924235\pi$
$440$	−5.81796	−	10.0770i	−0.277360	−	0.480402i
$441$	−20.9222	+	1.80572i	−0.996296	+	0.0859868i
$442$	4.34725	−	7.52966i	0.206778	−	0.358149i
$443$	11.7631	+	14.0187i	0.558882	+	0.666050i	0.969310	−	0.245843i	$-0.0790649\pi$
$443$	11.7631	+	14.0187i	0.558882	+	0.666050i	−0.410427	+	0.911893i	$0.634620\pi$
$444$	2.76912	+	2.25115i	0.131417	+	0.106835i
$445$	−0.0398462	+	0.225979i	−0.00188889	+	0.0107124i
$446$	−11.1208	+	4.04763i	−0.526583	+	0.191661i
$447$	−13.4812	−	35.3211i	−0.637640	−	1.67063i
$448$	20.5561	+	11.1259i	0.971184	+	0.525650i
$449$	8.49565	+	4.90497i	0.400934	+	0.231480i	0.686887	−	0.726764i	$-0.258977\pi$
$449$	8.49565	+	4.90497i	0.400934	+	0.231480i	−0.285953	+	0.958244i	$0.592310\pi$
$450$	−14.4264	−	2.08365i	−0.680067	−	0.0982244i
$451$	−21.8171	−	12.5961i	−1.02733	−	0.593127i
$452$	−0.138650	−	0.165237i	−0.00652155	−	0.00777208i
$453$	−4.99285	−	25.9502i	−0.234584	−	1.21925i
$454$	−0.0792866	−	0.217838i	−0.00372111	−	0.0102237i
$455$	−4.78379	+	4.24362i	−0.224267	+	0.198944i
$456$	−6.12154	−	10.2321i	−0.286667	−	0.479163i
$457$	0.594728	+	3.37287i	0.0278202	+	0.157776i	0.995553	−	0.0942020i	$-0.0300300\pi$
$457$	0.594728	+	3.37287i	0.0278202	+	0.157776i	−0.967733	+	0.251978i	$0.918919\pi$
$458$	2.16339	+	3.74709i	0.101088	+	0.175090i
$459$	16.1214	−	0.752400i	0.752483	−	0.0351190i
$460$	−1.04940	−	0.605869i	−0.0489283	−	0.0282488i
$461$	−4.27404	+	3.58634i	−0.199062	+	0.167033i	−0.736870	−	0.676035i	$-0.763697\pi$
$461$	−4.27404	+	3.58634i	−0.199062	+	0.167033i	0.537808	+	0.843067i	$0.319252\pi$
$462$	−7.85103	−	18.9856i	−0.365263	−	0.883289i
$463$	3.21696	−	18.2443i	0.149505	−	0.847884i	−0.814134	−	0.580677i	$-0.802788\pi$
$463$	3.21696	−	18.2443i	0.149505	−	0.847884i	0.963639	−	0.267207i	$-0.0861008\pi$
$464$	27.8183	+	4.90512i	1.29143	+	0.227714i
$465$	15.3963	−	2.96227i	0.713986	−	0.137372i
$466$	24.7818	−	20.7944i	1.14800	−	0.963284i
$467$	32.9348			1.52404			0.762021	−	0.647552i	$-0.224207\pi$
$467$	32.9348			1.52404			0.762021	+	0.647552i	$0.224207\pi$
$468$	0.642157	−	1.95100i	0.0296837	−	0.0901849i
$469$	6.15684	+	0.911833i	0.284296	+	0.0421045i
$470$	4.48328	−	12.3177i	0.206798	−	0.568173i
$471$	−7.01283	+	8.62642i	−0.323134	+	0.397485i
$472$	−13.6652	−	2.40955i	−0.628994	−	0.110909i
$473$	−20.8735	−	3.68056i	−0.959763	−	0.169232i
$474$	10.8398	+	28.4006i	0.497890	+	1.30448i
$475$	2.93375	−	8.06041i	0.134610	−	0.369837i
$476$	−0.958736	−	2.42450i	−0.0439436	−	0.111127i
$477$	−4.60223	+	2.85143i	−0.210722	+	0.130558i
$478$	−0.975339			−0.0446110
$479$	1.78160	−	1.49494i	0.0814034	−	0.0683056i	−0.601178	−	0.799115i	$-0.705302\pi$
$479$	1.78160	−	1.49494i	0.0814034	−	0.0683056i	0.682581	+	0.730810i	$0.260857\pi$
$480$	2.25644	+	2.60576i	0.102992	+	0.118936i
$481$	13.8012	+	2.43353i	0.629282	+	0.110959i
$482$	0.751137	−	4.25991i	0.0342133	−	0.194034i
$483$	−12.3917	−	9.52004i	−0.563841	−	0.433177i
$484$	−0.229578	+	0.192638i	−0.0104353	+	0.00875629i
$485$	16.0556	+	9.26973i	0.729049	+	0.420917i
$486$	−19.5814	+	5.04714i	−0.888229	+	0.228943i
$487$	5.28386	+	9.15192i	0.239435	+	0.414713i	0.960552	−	0.278100i	$-0.0897046\pi$
$487$	5.28386	+	9.15192i	0.239435	+	0.414713i	−0.721118	+	0.692813i	$0.756371\pi$
$488$	2.52304	+	14.3088i	0.114212	+	0.647731i
$489$	7.78451	−	13.9807i	0.352028	−	0.632227i
$490$	−0.559106	−	10.1550i	−0.0252578	−	0.458756i
$491$	7.28058	+	20.0032i	0.328568	+	0.902733i	0.988475	+	0.151386i	$0.0483735\pi$
$491$	7.28058	+	20.0032i	0.328568	+	0.902733i	−0.659907	+	0.751347i	$0.729404\pi$
$492$	3.78488	+	1.31132i	0.170636	+	0.0591189i
$493$	−17.2736	−	20.5859i	−0.777965	−	0.927143i
$494$	−5.55188	−	3.20538i	−0.249791	−	0.144217i
$495$	−0.361001	−	11.6072i	−0.0162258	−	0.521706i
$496$	−22.8510	−	13.1930i	−1.02604	−	0.592385i
$497$	−10.9406	+	20.2136i	−0.490752	+	0.906706i
$498$	−0.317600	+	0.390678i	−0.0142320	+	0.0175067i
$499$	21.9746	−	7.99812i	0.983720	−	0.358045i	0.200435	−	0.979707i	$-0.435765\pi$
$499$	21.9746	−	7.99812i	0.983720	−	0.358045i	0.783285	+	0.621662i	$0.213542\pi$
$500$	−0.539653	+	3.06053i	−0.0241340	+	0.136871i
$501$	32.0911	−	12.2484i	1.43372	−	0.547219i
$502$	12.0476	+	14.3577i	0.537710	+	0.640817i
$503$	−19.0227	+	32.9482i	−0.848178	+	1.46909i	0.0346537	+	0.999399i	$0.488967\pi$
$503$	−19.0227	+	32.9482i	−0.848178	+	1.46909i	−0.882832	+	0.469689i	$0.844366\pi$
$504$	13.1191	+	19.9286i	0.584369	+	0.887688i
$505$	5.43657	+	9.41642i	0.241924	+	0.419025i
$506$	5.22871	−	14.3658i	0.232445	−	0.638636i
$507$	2.73029	+	14.1906i	0.121256	+	0.630226i
$508$	−5.15956	−	4.32939i	−0.228918	−	0.192085i
$509$	0.331292	+	0.277987i	0.0146843	+	0.0123216i	0.650100	−	0.759848i	$-0.274727\pi$
$509$	0.331292	+	0.277987i	0.0146843	+	0.0123216i	−0.635416	+	0.772170i	$0.719171\pi$
$510$	0.121502	+	7.81521i	0.00538022	+	0.346063i
$511$	−1.11822	+	2.06600i	−0.0494670	+	0.0913945i
$512$		−	25.4287i		−	1.12380i
$513$	−0.554771	−	11.8869i	−0.0244938	−	0.524819i
$514$	11.3059	−	6.52745i	0.498681	−	0.287914i
$515$	7.10090	−	19.5096i	0.312903	−	0.859694i
$516$	3.36971	−	0.0523887i	0.148343	−	0.00230628i
$517$	−30.7074	−	5.41454i	−1.35051	−	0.238131i
$518$	−16.6735	+	14.7908i	−0.732592	+	0.649870i
$519$	−26.0141	+	22.5267i	−1.14189	+	0.988814i
$520$	6.82723	+	2.48491i	0.299394	+	0.108970i
$521$	2.58992	−	4.48588i	0.113467	−	0.196530i	−0.803699	−	0.595036i	$-0.797138\pi$
$521$	2.58992	−	4.48588i	0.113467	−	0.196530i	0.917166	+	0.398506i	$0.130471\pi$
$522$	26.4535	+	20.8308i	1.15784	+	0.911738i
$523$	25.6172	−	14.7901i	1.12016	−	0.646726i	0.178720	−	0.983900i	$-0.442804\pi$
$523$	25.6172	−	14.7901i	1.12016	−	0.646726i	0.941442	+	0.337174i	$0.109471\pi$
$524$	2.23344	+	0.812904i	0.0975681	+	0.0355119i
$525$	−5.17096	+	16.3667i	−0.225679	+	0.714301i
$526$	1.44853	+	1.21546i	0.0631587	+	0.0529964i
$527$	8.58545	+	23.5883i	0.373988	+	1.02752i
$528$	−12.3281	+	15.1647i	−0.536512	+	0.659959i
$529$	1.97475	+	11.1994i	0.0858587	+	0.486929i
$530$	−1.31100	−	2.27073i	−0.0569464	−	0.0986340i
$531$	−10.8802	−	8.56757i	−0.472159	−	0.371801i
$532$	−1.78767	+	0.706910i	−0.0775052	+	0.0306484i
$533$	15.4908	−	2.73145i	0.670983	−	0.118312i
$534$	0.452023	−	0.0869698i	0.0195609	−	0.00376355i
$535$	6.95355	−	8.28692i	0.300628	−	0.358275i
$536$	−2.41855	−	6.64492i	−0.104466	−	0.287017i
$537$	0.0864074	+	5.55785i	0.00372876	+	0.239839i
$538$	2.08077	+	2.47977i	0.0897084	+	0.106910i
$539$	−23.5582	+	5.50442i	−1.01472	+	0.237092i
$540$	0.405061	+	1.80149i	0.0174310	+	0.0775236i
$541$	15.8468	−	27.4474i	0.681306	−	1.18006i	−0.293277	−	0.956028i	$-0.594746\pi$
$541$	15.8468	−	27.4474i	0.681306	−	1.18006i	0.974583	−	0.224029i	$-0.0719209\pi$
$542$	35.4934	+	12.9185i	1.52457	+	0.554899i
$543$	−17.6347	+	10.5503i	−0.756779	+	0.452756i
$544$	−3.54736	+	4.22758i	−0.152092	+	0.181256i
$545$	−3.81615	+	1.38897i	−0.163466	+	0.0594968i
$546$	11.3751	+	5.93001i	0.486811	+	0.253781i
$547$	−4.74502	−	26.9103i	−0.202882	−	1.15060i	−0.900738	−	0.434364i	$-0.856973\pi$
$547$	−4.74502	−	26.9103i	−0.202882	−	1.15060i	0.697855	−	0.716239i	$-0.254138\pi$
$548$			2.63996i			0.112773i
$549$	−4.53356	+	13.7738i	−0.193488	+	0.587853i
$550$	−16.7921			−0.716019
$551$	−15.1787	+	12.7365i	−0.646635	+	0.542591i
$552$	−2.81077	+	17.5300i	−0.119634	+	0.746127i
$553$	35.0683	−	7.18298i	1.49126	−	0.305451i
$554$	−6.04418	+	7.20318i	−0.256793	+	0.306034i
$555$	−11.7702	+	4.49241i	−0.499617	+	0.190692i
$556$	5.27592	−	0.930287i	0.223749	−	0.0394530i
$557$		−	14.0128i		−	0.593742i	−0.954918	−	0.296871i	$-0.904057\pi$
$557$		−	14.0128i		−	0.593742i	0.954918	−	0.296871i	$-0.0959431\pi$
$558$	−16.5651	−	26.7361i	−0.701255	−	1.13183i
$559$	11.4612	−	6.61715i	0.484759	−	0.279876i
$560$	−8.24235	+	5.06591i	−0.348303	+	0.214074i
$561$	18.2577	−	3.51281i	0.770842	−	0.148311i
$562$	−3.92106	+	22.2374i	−0.165400	+	0.938029i
$563$	1.23719	−	0.450301i	0.0521414	−	0.0189779i	−0.315818	−	0.948820i	$-0.602279\pi$
$563$	1.23719	−	0.450301i	0.0521414	−	0.0189779i	0.367959	+	0.929842i	$0.380057\pi$
$564$	4.95725	−	0.0770700i	0.208738	−	0.00324523i
$565$	0.749908	−	0.132229i	0.0315489	−	0.00556292i
$566$	22.9374			0.964130
$567$	2.13266	+	23.7161i	0.0895634	+	0.995981i
$568$	26.1138			1.09571
$569$	−31.7868	+	5.60486i	−1.33257	+	0.234968i	−0.794157	−	0.607713i	$-0.792087\pi$
$569$	−31.7868	+	5.60486i	−1.33257	+	0.234968i	−0.538413	+	0.842681i	$0.680976\pi$
$570$	5.76243	−	0.0895881i	0.241362	−	0.00375243i
$571$	7.21456	−	2.62588i	0.301920	−	0.109890i	−0.186618	−	0.982433i	$-0.559753\pi$
$571$	7.21456	−	2.62588i	0.301920	−	0.109890i	0.488538	+	0.872543i	$0.337530\pi$
$572$	0.410891	−	2.33028i	0.0171802	−	0.0974339i
$573$	19.1276	−	3.68018i	0.799069	−	0.153742i
$574$	−11.9081	+	22.0012i	−0.497033	+	0.918312i
$575$	−11.0610	+	6.38605i	−0.461274	+	0.266317i
$576$	12.5318	−	23.3536i	0.522160	−	0.973065i
$577$		−	6.45958i		−	0.268916i	−0.990919	−	0.134458i	$-0.957071\pi$
$577$		−	6.45958i		−	0.268916i	0.990919	−	0.134458i	$-0.0429293\pi$
$578$	9.39356	−	1.65634i	0.390721	−	0.0688946i
$579$	31.1520	−	11.8900i	1.29463	−	0.494132i
$580$	1.97628	−	2.35524i	0.0820606	−	0.0977960i
$581$	0.393442	+	0.443524i	0.0163227	+	0.0184005i
$582$	5.88796	−	36.7216i	0.244064	−	1.52216i
$583$	−4.77788	+	4.00912i	−0.197880	+	0.166041i
$584$	2.66905			0.110446
$585$	4.83125	+	5.40699i	0.199748	+	0.223552i
$586$		−	24.8901i		−	1.02820i
$587$	2.50894	+	14.2289i	0.103555	+	0.587290i	0.991788	+	0.127896i	$0.0408223\pi$
$587$	2.50894	+	14.2289i	0.103555	+	0.587290i	−0.888233	+	0.459394i	$0.848067\pi$
$588$	3.51297	−	1.56717i	0.144872	−	0.0646288i
$589$	17.3925	−	6.33035i	0.716646	−	0.260838i
$590$	4.31110	−	5.13777i	0.177485	−	0.211519i
$591$	−10.5671	+	6.32197i	−0.434674	+	0.260051i
$592$	19.9235	+	7.25156i	0.818851	+	0.298037i
$593$	−15.9550	+	27.6348i	−0.655192	+	1.13483i	0.326654	+	0.945144i	$0.394079\pi$
$593$	−15.9550	+	27.6348i	−0.655192	+	1.13483i	−0.981846	+	0.189681i	$0.939255\pi$
$594$	−21.4955	+	8.97947i	−0.881971	+	0.368432i
$595$	9.10464	+	1.34840i	0.373254	+	0.0552792i
$596$	4.45143	+	5.30500i	0.182338	+	0.217301i
$597$	0.150472	+	9.67856i	0.00615841	+	0.396117i
$598$	3.26477	+	8.96988i	0.133506	+	0.366806i
$599$	−12.5492	+	14.9556i	−0.512746	+	0.611067i	−0.958850	−	0.283914i	$-0.908367\pi$
$599$	−12.5492	+	14.9556i	−0.512746	+	0.611067i	0.446103	+	0.894982i	$0.352811\pi$
$600$	19.1498	−	3.68444i	0.781786	−	0.150417i
$601$	9.77516	−	1.72362i	0.398737	−	0.0703081i	0.0293159	−	0.999570i	$-0.490667\pi$
$601$	9.77516	−	1.72362i	0.398737	−	0.0703081i	0.369421	+	0.929262i	$0.379556\pi$
$602$	−3.08361	+	20.8210i	−0.125679	+	0.848602i
$603$	1.00885	−	6.98486i	0.0410835	−	0.284446i
$604$	2.42031	+	4.19209i	0.0984808	+	0.170574i
$605$	−0.183717	−	1.04191i	−0.00746916	−	0.0423597i
$606$	13.7589	−	16.9248i	0.558919	−	0.687521i
$607$	−12.0056	−	32.9852i	−0.487293	−	1.33883i	−0.903122	−	0.429384i	$-0.858731\pi$
$607$	−12.0056	−	32.9852i	−0.487293	−	1.33883i	0.415829	−	0.909443i	$-0.363491\pi$
$608$	3.11714	+	2.61559i	0.126417	+	0.106076i
$609$	29.2480	−	26.7693i	1.18519	−	1.08475i
$610$	−6.59924	−	2.40193i	−0.267195	−	0.0972512i
$611$	16.8608	−	9.73461i	0.682117	−	0.393820i
$612$	−2.74520	+	1.09697i	−0.110968	+	0.0443423i
$613$	4.78308	−	8.28454i	0.193187	−	0.334610i	−0.753118	−	0.657886i	$-0.771451\pi$
$613$	4.78308	−	8.28454i	0.193187	−	0.334610i	0.946305	+	0.323276i	$0.104784\pi$
$614$	−30.1735	−	10.9823i	−1.21770	−	0.443208i
$615$	−10.6898	+	9.25679i	−0.431056	+	0.373270i
$616$	18.2402	+	20.5621i	0.734921	+	0.828469i
$617$	10.4083	+	1.83526i	0.419022	+	0.0738849i	0.379184	−	0.925321i	$-0.376205\pi$
$617$	10.4083	+	1.83526i	0.419022	+	0.0738849i	0.0398381	+	0.999206i	$0.487316\pi$
$618$	−41.6434	+	0.647427i	−1.67514	+	0.0260433i
$619$	−4.37134	+	12.0102i	−0.175699	+	0.482729i	−0.996015	−	0.0891810i	$-0.971575\pi$
$619$	−4.37134	+	12.0102i	−0.175699	+	0.482729i	0.820317	+	0.571910i	$0.193797\pi$
$620$	−2.48718	+	1.43597i	−0.0998875	+	0.0576701i
$621$	−10.7442	+	14.0895i	−0.431149	+	0.565393i
$622$			2.22228i			0.0891053i
$623$	−0.0149048	−	0.541839i	−0.000597148	−	0.0217083i
$624$	−0.189694	−	12.2014i	−0.00759383	−	0.488446i
$625$	5.94187	+	4.98582i	0.237675	+	0.199433i
$626$	−18.0358	−	15.1339i	−0.720856	−	0.604870i
$627$	−2.59012	−	13.4621i	−0.103439	−	0.537623i
$628$	0.696496	−	1.91361i	0.0277932	−	0.0763613i
$629$	−10.0852	−	17.4682i	−0.402125	−	0.696501i
$630$	−11.5123	+	0.675306i	−0.458662	+	0.0269048i
$631$	−1.50899	+	2.61364i	−0.0600719	+	0.104048i	−0.894497	−	0.447073i	$-0.852466\pi$
$631$	−1.50899	+	2.61364i	−0.0600719	+	0.104048i	0.834425	+	0.551121i	$0.185800\pi$
$632$	−26.1421	−	31.1550i	−1.03988	−	1.23928i
$633$	25.5951	−	9.76906i	1.01731	−	0.388285i
$634$	−6.00844	+	34.0756i	−0.238626	+	1.35331i
$635$	22.3434	−	8.13232i	0.886669	−	0.322721i
$636$	0.625571	−	0.769509i	0.0248055	−	0.0305130i
$637$	9.05895	−	12.0879i	0.358929	−	0.478942i
$638$	33.5928	+	19.3948i	1.32995	+	0.767848i
$639$	22.9645	+	12.3231i	0.908462	+	0.487493i
$640$	7.66912	+	4.42777i	0.303148	+	0.175023i
$641$	10.8521	+	12.9331i	0.428633	+	0.510825i	0.936527	−	0.350594i	$-0.114020\pi$
$641$	10.8521	+	12.9331i	0.428633	+	0.510825i	−0.507894	+	0.861419i	$0.669576\pi$
$642$	−20.5050	−	7.10422i	−0.809268	−	0.280381i
$643$	−4.79477	−	13.1735i	−0.189087	−	0.519513i	0.808534	−	0.588450i	$-0.200262\pi$
$643$	−4.79477	−	13.1735i	−0.189087	−	0.519513i	−0.997621	+	0.0689368i	$0.978039\pi$
$644$	2.71565	+	0.904658i	0.107012	+	0.0356485i
$645$	−5.78778	+	10.3946i	−0.227894	+	0.409288i
$646$	1.60225	+	9.08680i	0.0630396	+	0.357515i
$647$	13.1044	+	22.6975i	0.515187	+	0.892329i	0.999845	+	0.0176256i	$0.00561069\pi$
$647$	13.1044	+	22.6975i	0.515187	+	0.892329i	−0.484658	+	0.874704i	$0.661056\pi$
$648$	22.5433	−	14.9566i	0.885584	−	0.587553i
$649$	−13.8165	−	7.97697i	−0.542346	−	0.313123i
$650$	8.03188	−	6.73955i	0.315036	−	0.264347i
$651$	−34.2254	+	14.1531i	−1.34140	+	0.554703i
$652$	−0.508986	+	2.88660i	−0.0199334	+	0.113048i
$653$	7.44330	+	1.31245i	0.291279	+	0.0513603i	0.317378	−	0.948299i	$-0.397198\pi$
$653$	7.44330	+	1.31245i	0.291279	+	0.0513603i	−0.0260995	+	0.999659i	$0.508309\pi$
$654$	5.33292	+	6.15851i	0.208534	+	0.240817i
$655$	−6.42755	+	5.39335i	−0.251145	+	0.210736i
$656$	23.7978			0.929149
$657$	2.34716	+	1.25952i	0.0915716	+	0.0491385i
$658$	−4.53636	+	30.6302i	−0.176846	+	1.19409i
$659$	−3.28023	+	9.01236i	−0.127780	+	0.351072i	−0.987042	−	0.160464i	$-0.948701\pi$
$659$	−3.28023	+	9.01236i	−0.127780	+	0.351072i	0.859262	+	0.511536i	$0.170923\pi$
$660$	0.758525	+	1.98735i	0.0295255	+	0.0773574i
$661$	−28.8610	−	5.08896i	−1.12256	−	0.197938i	−0.418596	−	0.908173i	$-0.637478\pi$
$661$	−28.8610	−	5.08896i	−1.12256	−	0.197938i	−0.703965	+	0.710235i	$0.748589\pi$
$662$	0.269719	+	0.0475587i	0.0104829	+	0.00184842i
$663$	−7.32303	+	9.00799i	−0.284403	+	0.349842i
$664$	0.230386	−	0.632979i	0.00894070	−	0.0245644i
$665$	0.994226	−	6.71317i	0.0385544	−	0.260326i
$666$	16.8390	+	18.8457i	0.652496	+	0.730254i
$667$	29.5034			1.14238
$668$	−4.81988	+	4.04436i	−0.186487	+	0.156481i
$669$	15.5170	−	2.98550i	0.599923	−	0.115426i
$670$	3.36597	+	0.593511i	0.130039	+	0.0229293i
$671$	−2.90085	+	16.4515i	−0.111986	+	0.635105i
$672$	−6.45691	−	4.96058i	−0.249081	−	0.191359i
$673$	−12.7878	+	10.7303i	−0.492935	+	0.413622i	−0.855077	−	0.518501i	$-0.826490\pi$
$673$	−12.7878	+	10.7303i	−0.492935	+	0.413622i	0.362142	+	0.932123i	$0.382046\pi$
$674$	15.3034	+	8.83539i	0.589463	+	0.340327i
$675$	18.5790	+	5.79665i	0.715107	+	0.223113i
$676$	−1.32352	−	2.29240i	−0.0509046	−	0.0881694i
$677$	6.72751	+	38.1536i	0.258559	+	1.46636i	0.786769	+	0.617248i	$0.211752\pi$
$677$	6.72751	+	38.1536i	0.258559	+	1.46636i	−0.528210	+	0.849114i	$0.677136\pi$
$678$	−0.784243	−	1.31086i	−0.0301187	−	0.0503432i
$679$	−41.5492	−	13.8412i	−1.59451	−	0.531176i
$680$	−3.57652	−	9.82640i	−0.137153	−	0.376825i
$681$	0.0584812	+	0.303954i	0.00224100	+	0.0116476i
$682$	−23.2905	−	27.7565i	−0.891838	−	1.06285i
$683$	−24.5269	−	14.1606i	−0.938496	−	0.541841i	−0.0490077	−	0.998798i	$-0.515606\pi$
$683$	−24.5269	−	14.1606i	−0.938496	−	0.541841i	−0.889489	+	0.456957i	$0.848939\pi$
$684$	0.808833	+	2.02413i	0.0309265	+	0.0773946i
$685$	−8.07108	−	4.65984i	−0.308380	−	0.178043i
$686$	6.10738	+	23.2352i	0.233181	+	0.887126i
$687$	−2.06007	−	5.39742i	−0.0785966	−	0.205924i
$688$	18.8148	−	6.84804i	0.717308	−	0.261079i
$689$	0.676253	−	3.83522i	0.0257632	−	0.146110i
$690$	−6.65855	−	5.41305i	−0.253487	−	0.206071i
$691$	−11.1245	−	13.2577i	−0.423198	−	0.504347i	0.511749	−	0.859135i	$-0.328998\pi$
$691$	−11.1245	−	13.2577i	−0.423198	−	0.504347i	−0.934947	+	0.354788i	$0.884553\pi$
$692$	3.15172	−	5.45893i	0.119810	−	0.207518i
$693$	6.33730	+	26.6899i	0.240734	+	1.01386i
$694$	−16.5331	−	28.6361i	−0.627587	−	1.08701i
$695$	−6.46848	+	17.7720i	−0.245363	+	0.674131i
$696$	−42.5648	−	14.7471i	−1.61342	−	0.558988i
$697$	−17.3431	−	14.5526i	−0.656918	−	0.551220i
$698$	−15.1650	−	12.7250i	−0.574005	−	0.481647i
$699$	−37.0677	+	22.1764i	−1.40203	+	0.838787i
$700$	−0.0864531	−	3.14286i	−0.00326762	−	0.118789i
$701$		−	27.9266i		−	1.05477i	−0.849625	−	0.527387i	$-0.823172\pi$
$701$		−	27.9266i		−	1.05477i	0.849625	−	0.527387i	$-0.176828\pi$
$702$	6.67764	−	12.9223i	0.252031	−	0.487719i
$703$	−12.8799	+	7.43621i	−0.485774	+	0.280462i
$704$	10.4429	−	28.6915i	0.393580	−	1.08135i
$705$	−8.51451	+	15.2917i	−0.320675	+	0.575919i
$706$	35.8110	+	6.31445i	1.34777	+	0.237647i
$707$	−17.0445	−	19.2141i	−0.641026	−	0.722622i
$708$	2.39692	+	0.830445i	0.0900819	+	0.0312100i
$709$	−42.3620	−	15.4185i	−1.59094	−	0.579055i	−0.613393	−	0.789777i	$-0.710196\pi$
$709$	−42.3620	−	15.4185i	−1.59094	−	0.579055i	−0.977546	+	0.210723i	$0.932418\pi$
$710$	−6.31095	+	10.9309i	−0.236846	+	0.410229i
$711$	−8.28745	−	39.7342i	−0.310804	−	1.49015i
$712$	−0.533335	+	0.307921i	−0.0199876	+	0.0115398i
$713$	−25.8972	−	9.42582i	−0.969859	−	0.353000i
$714$	−3.98563	−	18.0280i	−0.149158	−	0.674682i
$715$	6.39904	+	5.36943i	0.239310	+	0.200805i
$716$	−0.348239	−	0.956779i	−0.0130143	−	0.0357565i
$717$	1.28587	+	0.206177i	0.0480217	+	0.00769982i
$718$	−6.08318	−	34.4994i	−0.227022	−	1.28751i
$719$	−15.9704	−	27.6615i	−0.595594	−	1.03160i	−0.993463	−	0.114157i	$-0.963583\pi$
$719$	−15.9704	−	27.6615i	−0.595594	−	1.03160i	0.397868	−	0.917442i	$-0.369750\pi$
$720$	5.77772	+	9.32526i	0.215323	+	0.347532i
$721$	−7.18498	+	48.5141i	−0.267583	+	1.80676i
$722$	−17.5724	+	3.09848i	−0.653976	+	0.115314i
$723$	−1.89079	+	5.45740i	−0.0703191	+	0.202963i
$724$	2.41959	−	2.88355i	0.0899232	−	0.107166i
$725$	−11.0837	−	30.4523i	−0.411640	−	1.13097i
$726$	−1.82129	+	1.08962i	−0.0675943	+	0.0404395i
$727$	−12.2324	−	14.5780i	−0.453674	−	0.540668i	0.489922	−	0.871766i	$-0.337025\pi$
$727$	−12.2324	−	14.5780i	−0.453674	−	0.540668i	−0.943596	+	0.331098i	$0.892581\pi$
$728$	−16.9772	−	2.51433i	−0.629215	−	0.0931873i
$729$	26.8826	−	2.51475i	0.995653	−	0.0931389i
$730$	−0.645031	+	1.11723i	−0.0238737	+	0.0413504i
$731$	−17.8993	−	6.51482i	−0.662031	−	0.240959i
$732$	−0.0412905	−	2.65586i	−0.00152614	−	0.0981634i
$733$	32.5485	−	38.7897i	1.20220	−	1.43273i	0.329728	−	0.944076i	$-0.393043\pi$
$733$	32.5485	−	38.7897i	1.20220	−	1.43273i	0.872477	−	0.488656i	$-0.162513\pi$
$734$	−33.5597	+	12.2147i	−1.23871	+	0.450854i
$735$	−1.40955	+	13.5063i	−0.0519920	+	0.498189i
$736$	−1.05212	−	5.96685i	−0.0387815	−	0.219941i
$737$		−	8.13029i		−	0.299483i
$738$	24.9953	+	13.4128i	0.920090	+	0.493733i
$739$	−7.04032			−0.258983			−0.129491	−	0.991581i	$-0.541334\pi$
$739$	−7.04032			−0.258983			−0.129491	+	0.991581i	$0.541334\pi$
$740$	1.76781	−	1.48337i	0.0649860	−	0.0545297i
$741$	6.64191	+	5.39953i	0.243997	+	0.198357i
$742$	4.11021	+	4.63340i	0.150891	+	0.170097i
$743$	16.6806	−	19.8792i	0.611952	−	0.729296i	−0.367712	−	0.929940i	$-0.619859\pi$
$743$	16.6806	−	19.8792i	0.611952	−	0.729296i	0.979664	+	0.200644i	$0.0643034\pi$
$744$	32.6507	+	26.5433i	1.19703	+	0.973125i
$745$	−24.0762	+	4.24528i	−0.882082	+	0.155535i
$746$		−	20.6971i		−	0.757773i
$747$	0.501304	−	0.447925i	0.0183417	−	0.0163887i
$748$	−2.94943	+	1.70285i	−0.107842	+	0.0622624i
$749$	−12.1636	+	22.4733i	−0.444448	+	0.821155i
$750$	−7.20486	+	20.7955i	−0.263084	+	0.759344i
$751$	−5.52319	+	31.3236i	−0.201544	+	1.14301i	0.701242	+	0.712923i	$0.252629\pi$
$751$	−5.52319	+	31.3236i	−0.201544	+	1.14301i	−0.902786	+	0.430090i	$0.858482\pi$
$752$	27.6788	−	10.0743i	1.00934	−	0.367371i
$753$	−12.8482	−	21.4757i	−0.468215	−	0.782619i
$754$	−23.8520	+	4.20575i	−0.868639	+	0.153164i
$755$	−17.0885			−0.621914
$756$	−1.79129	−	3.97692i	−0.0651486	−	0.144639i
$757$	−21.2865			−0.773671			−0.386835	−	0.922149i	$-0.626432\pi$
$757$	−21.2865			−0.773671			−0.386835	+	0.922149i	$0.626432\pi$
$758$	1.23859	−	0.218397i	0.0449876	−	0.00793253i
$759$	−9.93022	+	17.8343i	−0.360444	+	0.647343i
$760$	−7.24535	+	2.63709i	−0.262817	+	0.0956574i
$761$	5.70401	−	32.3491i	0.206770	−	1.17265i	−0.687859	−	0.725844i	$-0.741449\pi$
$761$	5.70401	−	32.3491i	0.206770	−	1.17265i	0.894630	−	0.446809i	$-0.147440\pi$
$762$	−31.2239	−	36.0577i	−1.13112	−	1.30623i
$763$	8.17281	−	5.02317i	0.295876	−	0.181851i
$764$	−3.08995	+	1.78399i	−0.111791	+	0.0645423i
$765$	1.49187	−	10.3291i	0.0539387	−	0.373450i
$766$		−	8.33521i		−	0.301163i
$767$	9.81018	−	1.72980i	0.354225	−	0.0624595i
$768$	−2.03268	+	12.6773i	−0.0733479	+	0.457451i
$769$	17.6094	−	20.9860i	0.635010	−	0.756775i	−0.348563	−	0.937285i	$-0.613330\pi$
$769$	17.6094	−	20.9860i	0.635010	−	0.756775i	0.983573	+	0.180510i	$0.0577748\pi$
$770$	−13.0151	+	2.66587i	−0.469033	+	0.0960713i
$771$	−16.2853	+	6.21573i	−0.586501	+	0.223854i
$772$	−4.67884	+	3.92601i	−0.168395	+	0.141300i
$773$	38.4741			1.38382			0.691908	−	0.721985i	$-0.256770\pi$
$773$	38.4741			1.38382			0.691908	+	0.721985i	$0.256770\pi$
$774$	23.6212	+	3.41170i	0.849048	+	0.122631i
$775$			30.2712i			1.08737i
$776$	8.64012	+	49.0006i	0.310162	+	1.75902i
$777$	25.1087	−	15.9753i	0.900769	−	0.573111i
$778$	−10.2931	+	3.74639i	−0.369026	+	0.134315i
$779$	−10.7302	+	12.7877i	−0.384448	+	0.458167i
$780$	−1.16044	−	0.646138i	−0.0415503	−	0.0231355i
$781$	28.2136	+	10.2689i	1.00956	+	0.367450i
$782$	6.86943	−	11.8982i	0.245650	−	0.425479i
$783$	−30.4724	−	33.0549i	−1.08900	−	1.18129i
$784$	16.6728	−	15.6302i	0.595459	−	0.558223i
$785$	4.62103	+	5.50713i	0.164932	+	0.196558i
$786$	14.7057	+	8.18824i	0.524537	+	0.292065i
$787$	17.5747	+	48.2861i	0.626471	+	1.72121i	0.690565	+	0.723270i	$0.257362\pi$
$787$	17.5747	+	48.2861i	0.626471	+	1.72121i	−0.0640949	+	0.997944i	$0.520416\pi$
$788$	1.44987	−	1.72789i	0.0516495	−	0.0615534i
$789$	−1.65277	−	1.90864i	−0.0588403	−	0.0679494i
$790$	19.3589	−	3.41349i	0.688758	−	0.121447i
$791$	−1.67273	+	0.661460i	−0.0594754	+	0.0235188i
$792$	23.2408	−	20.7661i	0.825825	−	0.737890i
$793$	−5.21534	−	9.03324i	−0.185202	−	0.320780i
$794$	−0.172228	−	0.976755i	−0.00611215	−	0.0346637i
$795$	1.24840	+	3.27082i	0.0442760	+	0.116004i
$796$	−0.606432	−	1.66616i	−0.0214944	−	0.0590554i
$797$	−13.5057	−	11.3326i	−0.478395	−	0.401421i	0.371451	−	0.928453i	$-0.378860\pi$
$797$	−13.5057	−	11.3326i	−0.478395	−	0.401421i	−0.849846	+	0.527032i	$0.823305\pi$
$798$	−13.2927	+	2.93874i	−0.470557	+	0.104030i
$799$	−26.3320	−	9.58408i	−0.931561	−	0.339060i
$800$	−5.76351	+	3.32756i	−0.203771	+	0.117647i
$801$	−0.614323	+	0.0191063i	−0.0217060	+	0.000675088i
$802$	−23.0631	+	39.9464i	−0.814386	+	1.41056i
$803$	2.88366	+	1.04957i	0.101762	+	0.0370384i
$804$	0.244243	+	1.26945i	0.00861380	+	0.0447700i
$805$	−7.55924	+	6.70567i	−0.266428	+	0.236344i
$806$	22.2802	+	3.92861i	0.784788	+	0.138379i
$807$	−2.21905	−	3.70913i	−0.0781144	−	0.130568i
$808$	−9.98066	+	27.4216i	−0.351119	+	0.964690i
$809$	36.0333	−	20.8039i	1.26686	−	0.731425i	0.292471	−	0.956274i	$-0.405522\pi$
$809$	36.0333	−	20.8039i	1.26686	−	0.731425i	0.974393	+	0.224850i	$0.0721891\pi$
$810$	0.812589	+	13.0509i	0.0285515	+	0.458562i
$811$			17.0974i			0.600371i	0.953881	+	0.300185i	$0.0970485\pi$
$811$			17.0974i			0.600371i	−0.953881	+	0.300185i	$0.902951\pi$
$812$	−3.45703	+	6.38717i	−0.121318	+	0.224146i
$813$	−44.0630	−	24.5345i	−1.54536	−	0.860463i
$814$	22.3034	+	18.7147i	0.781732	+	0.655951i
$815$	−7.92672	−	6.65131i	−0.277661	−	0.232985i
$816$	−13.2773	+	11.4974i	−0.464799	+	0.402489i
$817$	−4.80361	+	13.1978i	−0.168057	+	0.461733i
$818$	−8.89018	−	15.3982i	−0.310838	−	0.538387i
$819$	−13.7432	−	10.2226i	−0.480227	−	0.357207i
$820$	1.29512	−	2.24321i	0.0452274	−	0.0783362i
$821$	12.8576	+	15.3230i	0.448732	+	0.534778i	0.942229	−	0.334970i	$-0.108726\pi$
$821$	12.8576	+	15.3230i	0.448732	+	0.534778i	−0.493497	+	0.869747i	$0.664282\pi$
$822$	−2.95984	+	18.4597i	−0.103236	+	0.643857i
$823$	−8.18960	+	46.4455i	−0.285471	+	1.61899i	0.418125	+	0.908389i	$0.362687\pi$
$823$	−8.18960	+	46.4455i	−0.285471	+	1.61899i	−0.703597	+	0.710600i	$0.748424\pi$
$824$	52.3601	−	19.0575i	1.82405	−	0.663900i
$825$	22.1384	+	3.54969i	0.770761	+	0.123584i
$826$	−7.54125	+	13.9331i	−0.262394	+	0.484795i
$827$	−34.7004	−	20.0343i	−1.20665	−	0.696660i	−0.244624	−	0.969618i	$-0.578665\pi$
$827$	−34.7004	−	20.0343i	−1.20665	−	0.696660i	−0.962026	+	0.272958i	$0.911998\pi$
$828$	1.01472	−	3.08293i	0.0352641	−	0.107139i
$829$	3.62880	+	2.09509i	0.126034	+	0.0727655i	0.561691	−	0.827347i	$-0.310151\pi$
$829$	3.62880	+	2.09509i	0.126034	+	0.0727655i	−0.435658	+	0.900112i	$0.643484\pi$
$830$	0.209279	+	0.249409i	0.00726419	+	0.00865712i
$831$	9.49122	−	8.21886i	0.329247	−	0.285109i
$832$	6.52045	+	17.9148i	0.226056	+	0.621083i
$833$	−21.7087	+	1.19522i	−0.752163	+	0.0414120i
$834$	37.9345	−	0.589766i	1.31357	−	0.0204219i
$835$	−3.85706	−	21.8745i	−0.133479	−	0.756997i
$836$	1.25557	+	2.17472i	0.0434249	+	0.0752141i
$837$	16.1873	+	38.7500i	0.559516	+	1.33940i
$838$	−27.0464	−	15.6152i	−0.934302	−	0.539419i
$839$	11.6647	−	9.78781i	0.402709	−	0.337913i	−0.418831	−	0.908064i	$-0.637560\pi$
$839$	11.6647	−	9.78781i	0.402709	−	0.337913i	0.821540	+	0.570152i	$0.193116\pi$
$840$	14.2576	−	5.89588i	0.491933	−	0.203427i
$841$	−7.96336	+	45.1624i	−0.274598	+	1.55733i
$842$	−37.1497	−	6.55050i	−1.28026	−	0.225745i
$843$	9.87021	−	28.4885i	0.339948	−	0.981197i
$844$	−3.84422	+	3.22569i	−0.132324	+	0.111033i
$845$	9.34468			0.321467
$846$	34.7497	+	5.01901i	1.19472	+	0.172557i
$847$	0.919022	+	2.32407i	0.0315780	+	0.0798559i
$848$	2.01513	−	5.53654i	0.0692000	−	0.190125i
$849$	−30.2402	−	4.84873i	−1.03784	−	0.166408i
$850$	−14.8616	−	2.62050i	−0.509748	−	0.0898823i
$851$	21.8084	+	3.84541i	0.747583	+	0.131819i
$852$	−4.71370	−	0.755797i	−0.161489	−	0.0258932i
$853$	1.23534	−	3.39406i	0.0422971	−	0.116210i	−0.916746	−	0.399471i	$-0.869194\pi$
$853$	1.23534	−	3.39406i	0.0422971	−	0.116210i	0.959043	+	0.283260i	$0.0914161\pi$
$854$	16.4102	+	2.43037i	0.561546	+	0.0831655i
$855$	−7.61602	−	1.10001i	−0.260462	−	0.0376195i
$856$	29.0330			0.992327
$857$	36.0709	−	30.2671i	1.23216	−	1.03390i	0.234061	−	0.972222i	$-0.424798\pi$
$857$	36.0709	−	30.2671i	1.23216	−	1.03390i	0.998096	−	0.0616809i	$-0.0196461\pi$
$858$	5.48577	−	15.8337i	0.187281	−	0.540552i
$859$	35.5330	+	6.26542i	1.21237	+	0.213773i	0.743038	−	0.669249i	$-0.233384\pi$
$859$	35.5330	+	6.26542i	1.21237	+	0.213773i	0.469331	+	0.883022i	$0.344495\pi$
$860$	0.378431	−	2.14619i	0.0129044	−	0.0731844i
$861$	20.3502	−	26.4887i	0.693533	−	0.902733i
$862$	25.5939	−	21.4758i	0.871732	−	0.731470i
$863$	2.82207	+	1.62932i	0.0960645	+	0.0554629i	0.547263	−	0.836961i	$-0.315670\pi$
$863$	2.82207	+	1.62932i	0.0960645	+	0.0554629i	−0.451198	+	0.892424i	$0.649003\pi$
$864$	−5.59845	+	7.34159i	−0.190463	+	0.249766i
$865$	11.1263	+	19.2713i	0.378306	+	0.655245i
$866$	−0.570733	−	3.23679i	−0.0193943	−	0.109990i
$867$	−12.7344	+	0.197981i	−0.432484	+	0.00672380i
$868$	5.07507	−	4.50201i	0.172259	−	0.152808i
$869$	−15.9929	−	43.9402i	−0.542522	−	1.49057i
$870$	16.4596	−	14.2531i	0.558034	−	0.483226i
$871$	3.26310	+	3.88882i	0.110566	+	0.131768i
$872$	−9.43894	−	5.44957i	−0.319643	−	0.184546i
$873$	−15.5252	+	47.1684i	−0.525447	+	1.59641i
$874$	−8.77297	−	5.06508i	−0.296750	−	0.171329i
$875$	22.7916	+	12.3359i	0.770498	+	0.417030i
$876$	−0.481779	−	0.0772487i	−0.0162778	−	0.00260999i
$877$	30.6149	−	11.1429i	1.03379	−	0.376270i	0.231269	−	0.972890i	$-0.425712\pi$
$877$	30.6149	−	11.1429i	1.03379	−	0.376270i	0.802524	+	0.596620i	$0.203490\pi$
$878$	5.22881	−	29.6541i	0.176464	−	1.00078i
$879$	−5.26151	+	32.8146i	−0.177466	+	1.10681i
$880$	8.12347	+	9.68118i	0.273842	+	0.326352i
$881$	−25.1519	+	43.5644i	−0.847389	+	1.46772i	0.0361413	+	0.999347i	$0.488493\pi$
$881$	−25.1519	+	43.5644i	−0.847389	+	1.46772i	−0.883530	+	0.468374i	$0.844840\pi$
$882$	26.3213	−	7.01967i	0.886283	−	0.236365i
$883$	−9.26415	−	16.0460i	−0.311764	−	0.539990i	0.666981	−	0.745075i	$-0.267586\pi$
$883$	−9.26415	−	16.0460i	−0.311764	−	0.539990i	−0.978744	+	0.205085i	$0.934253\pi$
$884$	0.727304	−	1.99825i	0.0244619	−	0.0672085i
$885$	−6.76975	+	5.86222i	−0.227563	+	0.197056i
$886$	−18.1851	−	15.2591i	−0.610941	−	0.512640i
$887$	−7.57340	−	6.35484i	−0.254290	−	0.213375i	0.506727	−	0.862107i	$-0.330855\pi$
$887$	−7.57340	−	6.35484i	−0.254290	−	0.213375i	−0.761017	+	0.648732i	$0.775300\pi$
$888$	−29.5411	−	16.4486i	−0.991334	−	0.551980i
$889$	−47.8513	+	29.4103i	−1.60488	+	0.986391i
$890$		−	0.297663i		−	0.00997767i
$891$	30.2375	−	7.29444i	1.01299	−	0.244373i
$892$	−2.50668	+	1.44723i	−0.0839299	+	0.0484570i
$893$	−7.06668	+	19.4155i	−0.236477	+	0.649716i
$894$	25.1785	+	42.0857i	0.842095	+	1.40756i
$895$	3.53982	+	0.624166i	0.118323	+	0.0208636i
$896$	−19.8463	−	6.61136i	−0.663020	−	0.220870i
$897$	−2.40807	−	12.5159i	−0.0804031	−	0.417893i
$898$	−11.9580	−	4.35236i	−0.399044	−	0.145240i
$899$	34.9631	−	60.5579i	1.16608	−	2.01972i
$900$	−3.56329	+	0.110823i	−0.118776	+	0.00369411i
$901$	−4.85422	+	2.80259i	−0.161718	+	0.0933677i
$902$	30.7085	+	11.1770i	1.02248	+	0.372153i
$903$	8.46674	−	26.7982i	0.281755	−	0.891789i
$904$	1.56554	+	1.31364i	0.0520690	+	0.0436910i
$905$	4.54495	+	12.4871i	0.151079	+	0.415087i
$906$	12.2238	+	32.0265i	0.406108	+	1.06401i
$907$	9.02069	+	51.1589i	0.299527	+	1.69870i	0.648209	+	0.761462i	$0.275518\pi$
$907$	9.02069	+	51.1589i	0.299527	+	1.69870i	−0.348682	+	0.937241i	$0.613371\pi$
$908$	−0.0283490	−	0.0491020i	−0.000940796	−	0.00162951i
$909$	−21.7173	+	19.4048i	−0.720316	+	0.643616i
$910$	5.15536	−	6.49877i	0.170898	−	0.215432i
$911$	37.3848	−	6.59195i	1.23861	−	0.218401i	0.484292	−	0.874906i	$-0.339077\pi$
$911$	37.3848	−	6.59195i	1.23861	−	0.218401i	0.754321	+	0.656506i	$0.227966\pi$
$912$	8.47743	+	9.78982i	0.280716	+	0.324173i
$913$	0.497821	−	0.593280i	0.0164755	−	0.0196347i
$914$	−1.51952	−	4.17486i	−0.0502614	−	0.138092i
$915$	8.19258	+	4.56167i	0.270838	+	0.150804i
$916$	0.680223	+	0.810658i	0.0224752	+	0.0267849i
$917$	12.3179	−	15.5278i	0.406773	−	0.512772i
$918$	−20.4255	+	4.59264i	−0.674143	+	0.151580i
$919$	9.90574	−	17.1572i	0.326760	−	0.565965i	−0.655107	−	0.755536i	$-0.727376\pi$
$919$	9.90574	−	17.1572i	0.326760	−	0.565965i	0.981867	+	0.189571i	$0.0607097\pi$
$920$	10.7882	+	3.92660i	0.355678	+	0.129456i
$921$	37.4587	+	20.8572i	1.23431	+	0.687268i
$922$	4.65221	−	5.54429i	0.153212	−	0.182591i
$923$	−17.6163	+	6.41182i	−0.579849	+	0.211048i
$924$	−2.69736	−	4.23950i	−0.0887367	−	0.139469i
$925$	−4.22382	−	23.9545i	−0.138878	−	0.787619i
$926$			24.0316i			0.789727i
$927$	55.0387	+	7.94944i	1.80771	+	0.261094i
$928$	15.3733			0.504652
$929$	−25.2330	+	21.1730i	−0.827867	+	0.694663i	−0.954800	−	0.297248i	$-0.903931\pi$
$929$	−25.2330	+	21.1730i	−0.827867	+	0.694663i	0.126933	+	0.991911i	$0.459487\pi$
$930$	−19.0014	+	7.25240i	−0.623081	+	0.237816i
$931$	0.881280	+	16.0066i	0.0288828	+	0.524596i
$932$	5.08589	−	6.06113i	0.166594	−	0.198539i
$933$	0.469768	−	2.92981i	0.0153795	−	0.0959178i
$934$	−42.0740	+	7.41879i	−1.37670	+	0.242750i
$935$		−	12.0229i		−	0.393192i
$936$	−2.78185	+	19.2604i	−0.0909275	+	0.629546i
$937$	6.93130	−	4.00179i	0.226436	−	0.130733i	−0.382491	−	0.923959i	$-0.624934\pi$
$937$	6.93130	−	4.00179i	0.226436	−	0.130733i	0.608927	+	0.793227i	$0.291600\pi$
$938$	−8.07072	+	0.222008i	−0.263518	+	0.00724881i
$939$	20.5790	+	23.7648i	0.671569	+	0.775535i
$940$	0.556717	−	3.15730i	0.0181581	−	0.102980i
$941$	37.7049	−	13.7235i	1.22914	−	0.447372i	0.355840	−	0.934547i	$-0.384195\pi$
$941$	37.7049	−	13.7235i	1.22914	−	0.447372i	0.873305	+	0.487175i	$0.161973\pi$
$942$	7.01569	−	12.5999i	0.228583	−	0.410527i
$943$	24.4783	−	4.31619i	0.797124	−	0.140554i
$944$	15.0709			0.490516
$945$	15.3204	+	1.54328i	0.498372	+	0.0502029i
$946$	27.4948			0.893933
$947$	−4.89627	+	0.863344i	−0.159107	+	0.0280549i	−0.252634	−	0.967562i	$-0.581297\pi$
$947$	−4.89627	+	0.863344i	−0.159107	+	0.0280549i	0.0935270	+	0.995617i	$0.470186\pi$
$948$	3.81712	+	6.38029i	0.123974	+	0.207222i
$949$	−1.80053	+	0.655341i	−0.0584478	+	0.0212733i
$950$	−1.93218	+	10.9580i	−0.0626884	+	0.355523i
$951$	15.1247	−	43.6545i	0.490451	−	1.41559i
$952$	12.9344	+	21.0446i	0.419206	+	0.682059i
$953$	−45.2730	+	26.1384i	−1.46654	+	0.846705i	−0.999299	−	0.0374280i	$-0.988084\pi$
$953$	−45.2730	+	26.1384i	−1.46654	+	0.846705i	−0.467236	+	0.884133i	$0.654750\pi$
$954$	5.23701	−	4.67937i	0.169555	−	0.151500i
$955$		−	12.5958i		−	0.407590i
$956$	−0.234924	+	0.0414234i	−0.00759798	+	0.00133973i
$957$	−40.1883	−	32.6709i	−1.29910	−	1.05610i
$958$	−1.93924	+	2.31109i	−0.0626540	+	0.0746681i
$959$	20.8865	+	6.95787i	0.674462	+	0.224681i
$960$	−13.2986	−	10.8110i	−0.429209	−	0.348924i
$961$	−26.2894	+	22.0594i	−0.848045	+	0.711594i
$962$	−18.1792			−0.586120
$963$	25.5316	+	13.7006i	0.822746	+	0.441496i
$964$		−	1.05796i		−	0.0340746i
$965$	−3.74419	−	21.2344i	−0.120530	−	0.683558i
$966$	17.9748	+	9.37048i	0.578328	+	0.301490i
$967$	−25.0926	+	9.13296i	−0.806924	+	0.293696i	−0.712353	−	0.701822i	$-0.752370\pi$
$967$	−25.0926	+	9.13296i	−0.806924	+	0.293696i	−0.0945714	+	0.995518i	$0.530148\pi$
$968$	1.82515	−	2.17513i	0.0586626	−	0.0699114i
$969$	−0.191516	−	12.3186i	−0.00615238	−	0.395730i
$970$	−22.5991	−	8.22538i	−0.725612	−	0.264101i
$971$	−13.7533	+	23.8215i	−0.441365	+	0.764467i	−0.997791	−	0.0664300i	$-0.978839\pi$
$971$	−13.7533	+	23.8215i	−0.441365	+	0.764467i	0.556426	+	0.830897i	$0.312172\pi$
$972$	−4.50209	+	2.04731i	−0.144405	+	0.0656675i
$973$	6.54507	−	44.1934i	0.209825	−	1.41677i
$974$	−8.81163	−	10.5013i	−0.282343	−	0.336483i
$975$	−12.0138	+	7.18744i	−0.384748	+	0.230182i
$976$	−5.39732	−	14.8290i	−0.172764	−	0.474665i
$977$	−29.1340	+	34.7205i	−0.932078	+	1.11081i	0.0615506	+	0.998104i	$0.480395\pi$
$977$	−29.1340	+	34.7205i	−0.932078	+	1.11081i	−0.993629	+	0.112703i	$0.964049\pi$
$978$	−6.79543	+	19.6137i	−0.217294	+	0.627178i
$979$	−0.697305	+	0.122954i	−0.0222860	+	0.00392962i
$980$	−0.565959	−	2.42222i	−0.0180789	−	0.0773751i
$981$	−5.72897	−	9.24659i	−0.182912	−	0.295221i
$982$	−13.8068	−	23.9140i	−0.440591	−	0.763126i
$983$	−0.0349354	−	0.198128i	−0.00111427	−	0.00631931i	0.984246	−	0.176807i	$-0.0565768\pi$
$983$	−0.0349354	−	0.198128i	−0.00111427	−	0.00631931i	−0.985360	+	0.170488i	$0.945466\pi$
$984$	−37.4725	−	6.00836i	−1.19458	−	0.191539i
$985$	2.72344	+	7.48258i	0.0867759	+	0.238415i
$986$	26.7041	+	22.4074i	0.850431	+	0.713596i
$987$	12.4556	−	39.4234i	0.396465	−	1.25486i
$988$	−1.47338	−	0.536267i	−0.0468745	−	0.0170609i
$989$	18.1108	−	10.4563i	0.575890	−	0.332490i
$990$	3.07578	+	14.7468i	0.0977547	+	0.468685i
$991$	−0.484752	+	0.839616i	−0.0153987	+	0.0266713i	−0.873622	−	0.486605i	$-0.838235\pi$
$991$	−0.484752	+	0.839616i	−0.0153987	+	0.0266713i	0.858223	+	0.513276i	$0.171568\pi$
$992$	−13.4942	−	4.91149i	−0.428441	−	0.155940i
$993$	−0.345539	−	0.119716i	−0.0109653	−	0.00379908i
$994$	9.42325	−	28.2872i	0.298887	−	0.897217i
$995$	6.16433	+	1.08694i	0.195422	+	0.0344582i
$996$	−0.0599060	+	0.107589i	−0.00189820	+	0.00340908i
$997$	1.92858	−	5.29872i	0.0610787	−	0.167812i	−0.905400	−	0.424560i	$-0.860429\pi$
$997$	1.92858	−	5.29872i	0.0610787	−	0.167812i	0.966478	+	0.256748i	$0.0826510\pi$
$998$	−26.2708	+	15.1675i	−0.831589	+	0.480118i
$999$	−18.2164	−	28.4054i	−0.576341	−	0.898706i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	189.2.ba.a.5.6	✓	132
3.2	odd	2		567.2.ba.a.530.17		132
7.3	odd	6		189.2.bd.a.59.17	yes	132
21.17	even	6		567.2.bd.a.206.6		132
27.11	odd	18		189.2.bd.a.173.17	yes	132
27.16	even	9		567.2.bd.a.278.6		132
189.38	even	18	inner	189.2.ba.a.38.6	yes	132
189.178	odd	18		567.2.ba.a.521.17		132

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
189.2.ba.a.5.6	✓	132	1.1	even	1	trivial
189.2.ba.a.38.6	yes	132	189.38	even	18	inner
189.2.bd.a.59.17	yes	132	7.3	odd	6
189.2.bd.a.173.17	yes	132	27.11	odd	18
567.2.ba.a.521.17		132	189.178	odd	18
567.2.ba.a.530.17		132	3.2	odd	2
567.2.bd.a.206.6		132	21.17	even	6
567.2.bd.a.278.6		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+(-1.27749 + 0.225257i) q^{2} +(1.73184 - 0.0269248i) q^{3} +(-0.298135 + 0.108512i) q^{4} +(0.194492 - 1.10302i) q^{5} +(-2.20635 + 0.424505i) q^{6} +(0.0727513 + 2.64475i) q^{7} +(2.60324 - 1.50298i) q^{8} +(2.99855 - 0.0932590i) q^{9} +1.45291i q^{10} +(3.40359 - 0.600145i) q^{11} +(-0.513401 + 0.195953i) q^{12} +(-1.38711 + 1.65309i) q^{13} +(-0.688687 - 3.36227i) q^{14} +(0.307131 - 1.91549i) q^{15} +(-2.50098 + 2.09857i) q^{16} +3.10594 q^{17} +(-3.80962 + 0.794581i) q^{18} -2.29012i q^{19} +(0.0617062 + 0.349953i) q^{20} +(0.197203 + 4.57833i) q^{21} +(-4.21288 + 1.53336i) q^{22} +(-2.19188 + 2.61218i) q^{23} +(4.46793 - 2.67302i) q^{24} +(3.51964 + 1.28104i) q^{25} +(1.39965 - 2.42427i) q^{26} +(5.19050 - 0.242245i) q^{27} +(-0.308678 - 0.780599i) q^{28} +(-5.56147 - 6.62791i) q^{29} +(0.0391193 + 2.51621i) q^{30} +(2.76420 + 7.59457i) q^{31} +(-1.14212 + 1.36112i) q^{32} +(5.87832 - 1.13100i) q^{33} +(-3.96782 + 0.699634i) q^{34} +(2.93136 + 0.434137i) q^{35} +(-0.883854 + 0.353183i) q^{36} +(-3.24708 - 5.62411i) q^{37} +(0.515865 + 2.92562i) q^{38} +(-2.35775 + 2.90024i) q^{39} +(-1.15151 - 3.16374i) q^{40} +(-5.58386 - 4.68541i) q^{41} +(-1.28323 - 5.80437i) q^{42} +(-5.76293 - 2.09753i) q^{43} +(-0.949607 + 0.548256i) q^{44} +(0.480327 - 3.32559i) q^{45} +(2.21171 - 3.83079i) q^{46} +(-8.47795 - 3.08572i) q^{47} +(-4.27480 + 3.70174i) q^{48} +(-6.98941 + 0.384818i) q^{49} +(-4.78488 - 0.843704i) q^{50} +(5.37900 - 0.0836270i) q^{51} +(0.234165 - 0.643364i) q^{52} +(-1.56288 + 0.902330i) q^{53} +(-6.57627 + 1.47866i) q^{54} -3.87095i q^{55} +(4.16440 + 6.77558i) q^{56} +(-0.0616611 - 3.96613i) q^{57} +(8.59773 + 7.21435i) q^{58} +(-3.53619 - 2.96722i) q^{59} +(0.116288 + 0.604402i) q^{60} +(-1.65318 + 4.54209i) q^{61} +(-5.24198 - 9.07937i) q^{62} +(0.464795 + 7.92363i) q^{63} +(4.41725 - 7.65090i) q^{64} +(1.55361 + 1.85152i) q^{65} +(-7.25475 + 2.76897i) q^{66} +(0.408498 - 2.31671i) q^{67} +(-0.925991 + 0.337033i) q^{68} +(-3.72566 + 4.58291i) q^{69} +(-3.84258 + 0.105701i) q^{70} +(7.52345 + 4.34366i) q^{71} +(7.66578 - 4.74954i) q^{72} +(0.768958 + 0.443958i) q^{73} +(5.41499 + 6.45334i) q^{74} +(6.12995 + 2.12380i) q^{75} +(0.248506 + 0.682766i) q^{76} +(1.83485 + 8.95799i) q^{77} +(2.35871 - 4.23614i) q^{78} +(-2.34942 - 13.3242i) q^{79} +(1.82835 + 3.16679i) q^{80} +(8.98261 - 0.559284i) q^{81} +(8.18876 + 4.72778i) q^{82} +(0.171662 - 0.144041i) q^{83} +(-0.555599 - 1.34356i) q^{84} +(0.604081 - 3.42591i) q^{85} +(7.83459 + 1.38145i) q^{86} +(-9.81005 - 11.3287i) q^{87} +(7.95836 - 6.67786i) q^{88} -0.204873 q^{89} +(0.135497 + 4.35662i) q^{90} +(-4.47294 - 3.54830i) q^{91} +(0.370023 - 1.01663i) q^{92} +(4.99164 + 13.0782i) q^{93} +(11.5256 + 2.03228i) q^{94} +(-2.52605 - 0.445410i) q^{95} +(-1.94132 + 2.38800i) q^{96} +(-5.66132 + 15.5543i) q^{97} +(8.84225 - 2.06601i) q^{98} +(10.1499 - 2.11698i) 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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