LMFDB - Embedded newform 189.2.ba.a.131.13

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [189,2,Mod(5,189)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

magma://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);

sage: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")

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:traces = [] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(0)] == traces)

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			131.13
Character	$\chi$	$=$	189.131
Dual form			189.2.ba.a.101.13

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(0.204899 + 0.244189i) q^{2} +(1.66650 - 0.471978i) q^{3} +(0.329652 - 1.86955i) q^{4} +(-2.18935 - 1.83708i) q^{5} +(0.456717 + 0.310234i) q^{6} +(0.468007 + 2.60403i) q^{7} +(1.07619 - 0.621337i) q^{8} +(2.55447 - 1.57311i) q^{9} -0.911030i q^{10} +(-2.19030 - 2.61029i) q^{11} +(-0.333020 - 3.27120i) q^{12} +(1.17022 + 3.21516i) q^{13} +(-0.539981 + 0.647845i) q^{14} +(-4.51562 - 2.02818i) q^{15} +(-3.19557 - 1.16309i) q^{16} +4.66323 q^{17} +(0.907544 + 0.301446i) q^{18} +5.52060i q^{19} +(-4.15623 + 3.48749i) q^{20} +(2.00898 + 4.11874i) q^{21} +(0.188615 - 1.06969i) q^{22} +(0.470293 + 1.29212i) q^{23} +(1.50021 - 1.54340i) q^{24} +(0.550137 + 3.11998i) q^{25} +(-0.545329 + 0.944538i) q^{26} +(3.51457 - 3.82725i) q^{27} +(5.02264 - 0.0165384i) q^{28} +(-2.81504 + 7.73427i) q^{29} +(-0.429987 - 1.51824i) q^{30} +(2.17942 + 0.384290i) q^{31} +(-1.22079 - 3.35410i) q^{32} +(-4.88214 - 3.31629i) q^{33} +(0.955489 + 1.13871i) q^{34} +(3.75918 - 6.56089i) q^{35} +(-2.09891 - 5.29429i) q^{36} +(0.882419 + 1.52840i) q^{37} +(-1.34807 + 1.13116i) q^{38} +(3.46767 + 4.80576i) q^{39} +(-3.49759 - 0.616720i) q^{40} +(-4.96713 + 1.80789i) q^{41} +(-0.594112 + 1.33450i) q^{42} +(-1.57831 - 8.95103i) q^{43} +(-5.60210 + 3.23437i) q^{44} +(-8.48256 - 1.24869i) q^{45} +(-0.219159 + 0.379594i) q^{46} +(0.532155 + 3.01800i) q^{47} +(-5.87439 - 0.430058i) q^{48} +(-6.56194 + 2.43741i) q^{49} +(-0.649143 + 0.773618i) q^{50} +(7.77129 - 2.20094i) q^{51} +(6.39667 - 1.12790i) q^{52} +(-1.30996 + 0.756305i) q^{53} +(1.65470 + 0.0740197i) q^{54} +9.73859i q^{55} +(2.12164 + 2.51163i) q^{56} +(2.60560 + 9.20011i) q^{57} +(-2.46542 + 0.897340i) q^{58} +(-6.44995 + 2.34759i) q^{59} +(-5.28036 + 7.77358i) q^{60} +(9.69333 - 1.70919i) q^{61} +(0.352721 + 0.610930i) q^{62} +(5.29193 + 5.91570i) q^{63} +(-2.83176 + 4.90475i) q^{64} +(3.34449 - 9.18891i) q^{65} +(-0.190543 - 1.87167i) q^{66} +(-7.34743 - 6.16523i) q^{67} +(1.53724 - 8.71812i) q^{68} +(1.39360 + 1.93135i) q^{69} +(2.37235 - 0.426368i) q^{70} +(-9.64722 - 5.56983i) q^{71} +(1.77166 - 3.28015i) q^{72} +(-5.11937 - 2.95567i) q^{73} +(-0.192410 + 0.528643i) q^{74} +(2.38937 + 4.93981i) q^{75} +(10.3210 + 1.81988i) q^{76} +(5.77220 - 6.92523i) q^{77} +(-0.462992 + 1.83146i) q^{78} +(8.75642 - 7.34751i) q^{79} +(4.85952 + 8.41694i) q^{80} +(4.05066 - 8.03692i) q^{81} +(-1.45922 - 0.842484i) q^{82} +(-6.72578 - 2.44798i) q^{83} +(8.36244 - 2.39814i) q^{84} +(-10.2094 - 8.56673i) q^{85} +(1.86235 - 2.21946i) q^{86} +(-1.04087 + 14.2178i) q^{87} +(-3.97904 - 1.44825i) q^{88} +12.2586 q^{89} +(-1.43315 - 2.32720i) q^{90} +(-7.82471 + 4.55201i) q^{91} +(2.57071 - 0.453286i) q^{92} +(3.81339 - 0.388217i) q^{93} +(-0.627925 + 0.748331i) q^{94} +(10.1418 - 12.0865i) q^{95} +(-3.61752 - 5.01344i) q^{96} +(2.47531 - 0.436465i) q^{97} +(-1.93972 - 1.10293i) q^{98} +(-9.70132 - 3.22235i) 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 $\left(\mathbb{Z}/189\mathbb{Z}\right)^\times$.

$n$	$29$	$136$
$\chi(n)$	$e\left(\frac{11}{18}\right)$	$e\left(\frac{5}{6}\right)$

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 $

$2$	0.204899	+	0.244189i	0.144885	+	0.172668i	0.833607	−	0.552359i	$-0.186272\pi$
$2$	0.204899	+	0.244189i	0.144885	+	0.172668i	−0.688721	+	0.725026i	$0.741828\pi$
$3$	1.66650	−	0.471978i	0.962157	−	0.272497i
$3$	1.66650	−	0.471978i	0.962157	−	0.272497i
$4$	0.329652	−	1.86955i	0.164826	−	0.934774i
$5$	−2.18935	−	1.83708i	−0.979106	−	0.821568i	0.00484794	−	0.999988i	$-0.498457\pi$
$5$	−2.18935	−	1.83708i	−0.979106	−	0.821568i	−0.983954	+	0.178420i	$0.942901\pi$
$6$	0.456717	+	0.310234i	0.186454	+	0.126652i
$7$	0.468007	+	2.60403i	0.176890	+	0.984231i
$7$	0.468007	+	2.60403i	0.176890	+	0.984231i
$8$	1.07619	−	0.621337i	0.380489	−	0.219676i
$9$	2.55447	−	1.57311i	0.851491	−	0.524369i
$10$		−	0.911030i		−	0.288093i
$11$	−2.19030	−	2.61029i	−0.660399	−	0.787033i	0.327044	−	0.945009i	$-0.393947\pi$
$11$	−2.19030	−	2.61029i	−0.660399	−	0.787033i	−0.987443	+	0.157976i	$0.949503\pi$
$12$	−0.333020	−	3.27120i	−0.0961347	−	0.944313i
$13$	1.17022	+	3.21516i	0.324562	+	0.891726i	0.989462	+	0.144794i	$0.0462518\pi$
$13$	1.17022	+	3.21516i	0.324562	+	0.891726i	−0.664900	+	0.746932i	$0.731526\pi$
$14$	−0.539981	+	0.647845i	−0.144316	+	0.173144i
$15$	−4.51562	−	2.02818i	−1.16593	−	0.523674i
$16$	−3.19557	−	1.16309i	−0.798893	−	0.290773i
$17$	4.66323			1.13100			0.565499	−	0.824749i	$-0.308683\pi$
$17$	4.66323			1.13100			0.565499	+	0.824749i	$0.308683\pi$
$18$	0.907544	+	0.301446i	0.213910	+	0.0710515i
$19$			5.52060i			1.26651i	0.773942	+	0.633256i	$0.218282\pi$
$19$			5.52060i			1.26651i	−0.773942	+	0.633256i	$0.781718\pi$
$20$	−4.15623	+	3.48749i	−0.929362	+	0.779827i
$21$	2.00898	+	4.11874i	0.438396	+	0.898782i
$22$	0.188615	−	1.06969i	0.0402129	−	0.228059i
$23$	0.470293	+	1.29212i	0.0980628	+	0.269425i	0.979018	−	0.203775i	$-0.0653210\pi$
$23$	0.470293	+	1.29212i	0.0980628	+	0.269425i	−0.880955	+	0.473200i	$0.843099\pi$
$24$	1.50021	−	1.54340i	0.306230	−	0.315045i
$25$	0.550137	+	3.11998i	0.110027	+	0.623997i
$26$	−0.545329	+	0.944538i	−0.106948	+	0.185239i
$27$	3.51457	−	3.82725i	0.676379	−	0.736554i
$28$	5.02264	−	0.0165384i	0.949189	−	0.00312546i
$29$	−2.81504	+	7.73427i	−0.522741	+	1.43622i	0.344717	+	0.938707i	$0.387975\pi$
$29$	−2.81504	+	7.73427i	−0.522741	+	1.43622i	−0.867458	+	0.497511i	$0.834247\pi$
$30$	−0.429987	−	1.51824i	−0.0785045	−	0.277191i
$31$	2.17942	+	0.384290i	0.391435	+	0.0690206i	0.365902	−	0.930653i	$-0.380761\pi$
$31$	2.17942	+	0.384290i	0.391435	+	0.0690206i	0.0255331	+	0.999674i	$0.491872\pi$
$32$	−1.22079	−	3.35410i	−0.215808	−	0.592927i
$33$	−4.88214	−	3.31629i	−0.849871	−	0.577292i
$34$	0.955489	+	1.13871i	0.163865	+	0.195287i
$35$	3.75918	−	6.56089i	0.635418	−	1.10899i
$36$	−2.09891	−	5.29429i	−0.349819	−	0.882381i
$37$	0.882419	+	1.52840i	0.145069	+	0.251267i	0.929399	−	0.369077i	$-0.120326\pi$
$37$	0.882419	+	1.52840i	0.145069	+	0.251267i	−0.784330	+	0.620344i	$0.786993\pi$
$38$	−1.34807	+	1.13116i	−0.218686	+	0.183499i
$39$	3.46767	+	4.80576i	0.555272	+	0.769538i
$40$	−3.49759	−	0.616720i	−0.553018	−	0.0975120i
$41$	−4.96713	+	1.80789i	−0.775735	+	0.282344i	−0.699393	−	0.714737i	$-0.746546\pi$
$41$	−4.96713	+	1.80789i	−0.775735	+	0.282344i	−0.0763420	+	0.997082i	$0.524324\pi$
$42$	−0.594112	+	1.33450i	−0.0916735	+	0.205917i
$43$	−1.57831	−	8.95103i	−0.240690	−	1.36502i	−0.830293	−	0.557327i	$-0.811827\pi$
$43$	−1.57831	−	8.95103i	−0.240690	−	1.36502i	0.589603	−	0.807693i	$-0.299284\pi$
$44$	−5.60210	+	3.23437i	−0.844548	+	0.487600i
$45$	−8.48256	−	1.24869i	−1.26451	−	0.186144i
$46$	−0.219159	+	0.379594i	−0.0323132	+	0.0559681i
$47$	0.532155	+	3.01800i	0.0776228	+	0.440221i	0.998706	+	0.0508551i	$0.0161947\pi$
$47$	0.532155	+	3.01800i	0.0776228	+	0.440221i	−0.921083	+	0.389366i	$0.872694\pi$
$48$	−5.87439	−	0.430058i	−0.847895	−	0.0620736i
$49$	−6.56194	+	2.43741i	−0.937420	+	0.348201i
$50$	−0.649143	+	0.773618i	−0.0918027	+	0.109406i
$51$	7.77129	−	2.20094i	1.08820	−	0.308194i
$52$	6.39667	−	1.12790i	0.887058	−	0.156412i
$53$	−1.30996	+	0.756305i	−0.179937	+	0.103886i	−0.587263	−	0.809396i	$-0.699795\pi$
$53$	−1.30996	+	0.756305i	−0.179937	+	0.103886i	0.407326	+	0.913283i	$0.366461\pi$
$54$	1.65470	+	0.0740197i	0.225176	+	0.0100728i
$55$			9.73859i			1.31315i
$56$	2.12164	+	2.51163i	0.283516	+	0.335631i
$57$	2.60560	+	9.20011i	0.345121	+	1.21858i
$58$	−2.46542	+	0.897340i	−0.323726	+	0.117827i
$59$	−6.44995	+	2.34759i	−0.839713	+	0.305630i	−0.725839	−	0.687865i	$-0.758548\pi$
$59$	−6.44995	+	2.34759i	−0.839713	+	0.305630i	−0.113874	+	0.993495i	$0.536326\pi$
$60$	−5.28036	+	7.77358i	−0.681691	+	1.00356i
$61$	9.69333	−	1.70919i	1.24110	−	0.218840i	0.485715	−	0.874117i	$-0.338559\pi$
$61$	9.69333	−	1.70919i	1.24110	−	0.218840i	0.755388	+	0.655277i	$0.227448\pi$
$62$	0.352721	+	0.610930i	0.0447956	+	0.0775882i
$63$	5.29193	+	5.91570i	0.666721	+	0.745308i
$64$	−2.83176	+	4.90475i	−0.353970	+	0.613094i
$65$	3.34449	−	9.18891i	0.414833	−	1.13974i
$66$	−0.190543	−	1.87167i	−0.0234542	−	0.230386i
$67$	−7.34743	−	6.16523i	−0.897632	−	0.753203i	0.0720942	−	0.997398i	$-0.477032\pi$
$67$	−7.34743	−	6.16523i	−0.897632	−	0.753203i	−0.969726	+	0.244195i	$0.921476\pi$
$68$	1.53724	−	8.71812i	0.186418	−	1.05723i
$69$	1.39360	+	1.93135i	0.167769	+	0.232508i
$70$	2.37235	−	0.426368i	0.283550	−	0.0509608i
$71$	−9.64722	−	5.56983i	−1.14491	−	0.661017i	−0.197272	−	0.980349i	$-0.563208\pi$
$71$	−9.64722	−	5.56983i	−1.14491	−	0.661017i	−0.947643	+	0.319332i	$0.896541\pi$
$72$	1.77166	−	3.28015i	0.208792	−	0.386569i
$73$	−5.11937	−	2.95567i	−0.599176	−	0.345935i	0.169541	−	0.985523i	$-0.445771\pi$
$73$	−5.11937	−	2.95567i	−0.599176	−	0.345935i	−0.768718	+	0.639588i	$0.779105\pi$
$74$	−0.192410	+	0.528643i	−0.0223673	+	0.0614535i
$75$	2.38937	+	4.93981i	0.275901	+	0.570401i
$76$	10.3210	+	1.81988i	1.18390	+	0.208754i
$77$	5.77220	−	6.92523i	0.657804	−	0.789203i
$78$	−0.462992	+	1.83146i	−0.0524235	+	0.207372i
$79$	8.75642	−	7.34751i	0.985175	−	0.826660i	0.000312673	−	1.00000i	$-0.499900\pi$
$79$	8.75642	−	7.34751i	0.985175	−	0.826660i	0.984862	+	0.173340i	$0.0554560\pi$
$80$	4.85952	+	8.41694i	0.543311	+	0.941042i
$81$	4.05066	−	8.03692i	0.450074	−	0.892992i
$82$	−1.45922	−	0.842484i	−0.161144	−	0.0930367i
$83$	−6.72578	−	2.44798i	−0.738250	−	0.268701i	−0.0545974	−	0.998508i	$-0.517388\pi$
$83$	−6.72578	−	2.44798i	−0.738250	−	0.268701i	−0.683653	+	0.729807i	$0.739610\pi$
$84$	8.36244	−	2.39814i	0.912417	−	0.261658i
$85$	−10.2094	−	8.56673i	−1.10737	−	0.929192i
$86$	1.86235	−	2.21946i	0.200822	−	0.239331i
$87$	−1.04087	+	14.2178i	−0.111593	+	1.52431i
$88$	−3.97904	−	1.44825i	−0.424167	−	0.154384i
$89$	12.2586			1.29941			0.649703	−	0.760188i	$-0.274893\pi$
$89$	12.2586			1.29941			0.649703	+	0.760188i	$0.274893\pi$
$90$	−1.43315	−	2.32720i	−0.151067	−	0.245309i
$91$	−7.82471	+	4.55201i	−0.820252	+	0.477181i
$92$	2.57071	−	0.453286i	0.268015	−	0.0472583i
$93$	3.81339	−	0.388217i	0.395430	−	0.0402562i
$94$	−0.627925	+	0.748331i	−0.0647655	+	0.0771845i
$95$	10.1418	−	12.0865i	1.04053	−	1.24005i
$96$	−3.61752	−	5.01344i	−0.369212	−	0.511682i
$97$	2.47531	−	0.436465i	0.251330	−	0.0443163i	−0.0465636	−	0.998915i	$-0.514827\pi$
$97$	2.47531	−	0.436465i	0.251330	−	0.0443163i	0.297894	+	0.954599i	$0.403716\pi$
$98$	−1.93972	−	1.10293i	−0.195941	−	0.111413i
$99$	−9.70132	−	3.22235i	−0.975019	−	0.323858i
$100$	6.01431			0.601431
$101$	8.75323	+	3.18591i	0.870979	+	0.317010i	0.738563	−	0.674184i	$-0.235505\pi$
$101$	8.75323	+	3.18591i	0.870979	+	0.317010i	0.132415	+	0.991194i	$0.457727\pi$
$102$	2.12977	+	1.44669i	0.210879	+	0.143244i
$103$	−7.24467	+	8.63386i	−0.713838	+	0.850719i	−0.994017	−	0.109229i	$-0.965162\pi$
$103$	−7.24467	+	8.63386i	−0.713838	+	0.850719i	0.280178	+	0.959948i	$0.409606\pi$
$104$	3.25708	+	2.73301i	0.319383	+	0.267994i
$105$	3.16810	−	12.7080i	0.309174	−	1.24018i
$106$	−0.453090	−	0.164911i	−0.0440080	−	0.0160176i
$107$	5.79854	+	3.34779i	0.560566	+	0.323643i	0.753373	−	0.657594i	$-0.228426\pi$
$107$	5.79854	+	3.34779i	0.560566	+	0.323643i	−0.192807	+	0.981237i	$0.561759\pi$
$108$	−5.99664	−	7.83231i	−0.577027	−	0.753664i
$109$	−8.30492	−	14.3845i	−0.795467	−	1.37779i	−0.922542	−	0.385896i	$-0.873892\pi$
$109$	−8.30492	−	14.3845i	−0.795467	−	1.37779i	0.127076	−	0.991893i	$-0.459441\pi$
$110$	−2.37806	+	1.99543i	−0.226739	+	0.190256i
$111$	2.19193	+	2.13059i	0.208048	+	0.202227i
$112$	1.53318	−	8.86569i	0.144872	−	0.837729i
$113$	10.4246	+	1.83814i	0.980666	+	0.172918i	0.640927	−	0.767602i	$-0.278550\pi$
$113$	10.4246	+	1.83814i	0.980666	+	0.172918i	0.339739	+	0.940520i	$0.389661\pi$
$114$	−1.71268	+	2.52135i	−0.160407	+	0.236146i
$115$	1.34409	−	3.69286i	0.125337	−	0.344361i
$116$	13.5316	+	7.81247i	1.25638	+	0.725370i
$117$	8.04710	+	6.37216i	0.743955	+	0.589106i
$118$	−1.89484	−	1.09399i	−0.174434	−	0.100710i
$119$	2.18242	+	12.1432i	0.200062	+	1.11316i
$120$	−6.11983	+	0.623022i	−0.558662	+	0.0568739i
$121$	−0.106102	+	0.601736i	−0.00964566	+	0.0547033i
$122$	2.40352	+	2.01679i	0.217604	+	0.182592i
$123$	−7.42446	+	5.35723i	−0.669441	+	0.483045i
$124$	1.43690	−	3.94784i	0.129037	−	0.354527i
$125$	−2.61776	+	4.53409i	−0.234139	+	0.405541i
$126$	−0.360237	+	2.50435i	−0.0320925	+	0.223105i
$127$	8.48685	+	14.6997i	0.753086	+	1.30438i	0.946320	+	0.323231i	$0.104769\pi$
$127$	8.48685	+	14.6997i	0.753086	+	1.30438i	−0.193234	+	0.981153i	$0.561898\pi$
$128$	−8.80818	+	1.55312i	−0.778540	+	0.137278i
$129$	−6.85495	−	14.1720i	−0.603545	−	1.24778i
$130$	2.92911	−	1.06611i	0.256900	−	0.0935039i
$131$	−15.0308	+	5.47076i	−1.31325	+	0.477982i	−0.901288	−	0.433221i	$-0.857377\pi$
$131$	−15.0308	+	5.47076i	−1.31325	+	0.477982i	−0.411958	+	0.911203i	$0.635155\pi$
$132$	−7.80937	+	8.03417i	−0.679718	+	0.699285i
$133$	−14.3758	+	2.58368i	−1.24654	+	0.224033i
$134$		−	3.05741i		−	0.264120i
$135$	−14.7256	+	1.92263i	−1.26738	+	0.165474i
$136$	5.01850	−	2.89743i	0.430333	−	0.248453i
$137$	12.8335	−	2.26289i	1.09644	−	0.193332i	0.403965	−	0.914774i	$-0.367632\pi$
$137$	12.8335	−	2.26289i	1.09644	−	0.193332i	0.692475	+	0.721442i	$0.256520\pi$
$138$	−0.186069	+	0.736033i	−0.0158392	+	0.0626553i
$139$	2.63292	−	3.13779i	0.223321	−	0.266144i	−0.642737	−	0.766087i	$-0.722201\pi$
$139$	2.63292	−	3.13779i	0.223321	−	0.266144i	0.866058	+	0.499943i	$0.166646\pi$
$140$	−11.0267	−	9.19078i	−0.931925	−	0.776763i
$141$	2.31127	+	4.77835i	0.194644	+	0.402410i
$142$	−0.616615	−	3.49699i	−0.0517451	−	0.293461i
$143$	5.82938	−	10.0968i	0.487477	−	0.844335i
$144$	−9.99267	+	2.05589i	−0.832722	+	0.171324i
$145$	20.3716	−	11.7615i	1.69177	−	0.976743i
$146$	−0.327211	−	1.85570i	−0.0270802	−	0.153579i
$147$	−9.78510	+	7.15904i	−0.807061	+	0.590468i
$148$	3.14830	−	1.14589i	0.258789	−	0.0941913i
$149$	1.46897	+	0.259019i	0.120343	+	0.0212197i	0.233495	−	0.972358i	$-0.424984\pi$
$149$	1.46897	+	0.259019i	0.120343	+	0.0212197i	−0.113152	+	0.993578i	$0.536095\pi$
$150$	−0.716668	+	1.59562i	−0.0585157	+	0.130282i
$151$	−3.72109	+	3.12237i	−0.302818	+	0.254095i	−0.781516	−	0.623885i	$-0.785553\pi$
$151$	−3.72109	+	3.12237i	−0.302818	+	0.254095i	0.478698	+	0.877980i	$0.341109\pi$
$152$	3.43015	+	5.94120i	0.278222	+	0.481895i
$153$	11.9121	−	7.33576i	0.963035	−	0.593061i
$154$	2.87378	−	0.00946270i	0.231576	−	0.000762526i
$155$	−4.06553	−	4.84511i	−0.326551	−	0.389169i
$156$	10.1277	−	4.89875i	0.810867	−	0.392214i
$157$	−7.70444	−	21.1678i	−0.614882	−	1.68937i	−0.719177	−	0.694827i	$-0.755481\pi$
$157$	−7.70444	−	21.1678i	−0.614882	−	1.68937i	0.104295	−	0.994546i	$-0.466741\pi$
$158$	3.58836	+	0.632725i	0.285475	+	0.0503369i
$159$	−1.82609	+	1.87866i	−0.144818	+	0.148987i
$160$	−3.48902	+	9.58599i	−0.275831	+	0.757839i
$161$	−3.14462	+	1.82938i	−0.247830	+	0.144175i
$162$	2.79250	−	0.657629i	0.219400	−	0.0516682i
$163$	−4.81306	+	8.33646i	−0.376988	+	0.652962i	−0.990622	−	0.136628i	$-0.956374\pi$
$163$	−4.81306	+	8.33646i	−0.376988	+	0.652962i	0.613635	+	0.789590i	$0.289707\pi$
$164$	1.74251	+	9.88225i	0.136067	+	0.771674i
$165$	4.59640	+	16.2294i	0.357830	+	1.26346i
$166$	−0.780334	−	2.14395i	−0.0605657	−	0.166403i
$167$	−1.75065	+	9.92841i	−0.135469	+	0.768284i	0.839063	+	0.544035i	$0.183104\pi$
$167$	−1.75065	+	9.92841i	−0.135469	+	0.768284i	−0.974532	+	0.224249i	$0.928007\pi$
$168$	4.72116	+	3.18428i	0.364245	+	0.245672i
$169$	0.990731	−	0.831322i	0.0762101	−	0.0639479i
$170$		−	4.24834i		−	0.325833i
$171$	8.68450	+	14.1022i	0.664121	+	1.07842i
$172$	−17.2547			−1.31566
$173$	−11.6153	−	4.22763i	−0.883097	−	0.321421i	−0.139638	−	0.990203i	$-0.544594\pi$
$173$	−11.6153	−	4.22763i	−0.883097	−	0.321421i	−0.743459	+	0.668782i	$0.766816\pi$
$174$	−3.68511	+	2.65905i	−0.279368	+	0.201582i
$175$	−7.86706	+	2.89275i	−0.594694	+	0.218671i
$176$	3.96323	+	10.8889i	0.298740	+	0.820781i
$177$	−9.64086	+	6.95651i	−0.724652	+	0.522883i
$178$	2.51177	+	2.99341i	0.188265	+	0.224365i
$179$		−	15.7838i		−	1.17974i	−0.807500	−	0.589868i	$-0.799180\pi$
$179$		−	15.7838i		−	1.17974i	0.807500	−	0.589868i	$-0.200820\pi$
$180$	−5.13078	+	15.4469i	−0.382426	+	1.15134i
$181$	−11.3602	+	6.55879i	−0.844393	+	0.487511i	−0.858755	−	0.512386i	$-0.828762\pi$
$181$	−11.3602	+	6.55879i	−0.844393	+	0.487511i	0.0143618	+	0.999897i	$0.495428\pi$
$182$	−2.71482	−	0.978004i	−0.201236	−	0.0724945i
$183$	15.3473	−	7.42342i	1.13450	−	0.548755i
$184$	1.30896	+	1.09835i	0.0964981	+	0.0809715i
$185$	0.875863	−	4.96727i	0.0643947	−	0.365201i
$186$	0.876156	+	0.851641i	0.0642429	+	0.0624454i
$187$	−10.2138	−	12.1724i	−0.746910	−	0.890133i
$188$	5.81773			0.424301
$189$	11.6111	+	7.36086i	0.844584	+	0.535424i
$190$	5.02943			0.364874
$191$	−11.4242	−	13.6149i	−0.826629	−	0.985138i	−1.00000		0.000281329i	$-0.999910\pi$
$191$	−11.4242	−	13.6149i	−0.826629	−	0.985138i	0.173371	−	0.984857i	$-0.444534\pi$
$192$	−2.40420	+	9.51032i	−0.173508	+	0.686348i
$193$	−2.36579	+	13.4170i	−0.170293	+	0.965780i	0.773144	+	0.634230i	$0.218683\pi$
$193$	−2.36579	+	13.4170i	−0.170293	+	0.965780i	−0.943438	+	0.331550i	$0.892428\pi$
$194$	0.613769	+	0.515013i	0.0440660	+	0.0369758i
$195$	1.23664	−	16.8919i	0.0885575	−	1.20965i
$196$	2.39369	+	13.0714i	0.170978	+	0.933668i
$197$	7.98620	−	4.61083i	0.568993	−	0.328508i	−0.187754	−	0.982216i	$-0.560121\pi$
$197$	7.98620	−	4.61083i	0.568993	−	0.328508i	0.756747	+	0.653708i	$0.226787\pi$
$198$	−1.20093	−	3.02921i	−0.0853462	−	0.215277i
$199$			0.268183i			0.0190110i	0.999955	+	0.00950548i	$0.00302573\pi$
$199$			0.268183i			0.0190110i	−0.999955	+	0.00950548i	$0.996974\pi$
$200$	2.53061	+	3.01587i	0.178941	+	0.213254i
$201$	−15.1544	−	6.80655i	−1.06891	−	0.480097i
$202$	1.01556	+	2.79023i	0.0714546	+	0.196320i
$203$	−21.4577	−	3.71077i	−1.50604	−	0.260445i
$204$	−1.55295	−	15.2543i	−0.108728	−	1.06802i
$205$	14.1960	+	5.16692i	0.991492	+	0.360874i
$206$	−3.59272			−0.250316
$207$	3.23399	+	2.56086i	0.224778	+	0.177992i
$208$		−	11.6354i		−	0.806767i
$209$	14.4104	−	12.0917i	0.996787	−	0.836404i
$210$	3.75229	−	1.83024i	0.258933	−	0.126299i
$211$	−2.27165	+	12.8832i	−0.156387	+	0.886914i	0.801120	+	0.598503i	$0.204238\pi$
$211$	−2.27165	+	12.8832i	−0.156387	+	0.886914i	−0.957507	+	0.288410i	$0.906873\pi$
$212$	0.982118	+	2.69835i	0.0674521	+	0.185323i
$213$	−18.7060	−	4.72886i	−1.28171	−	0.324016i
$214$	0.370621	+	2.10190i	0.0253351	+	0.143683i
$215$	−12.9883	+	22.4964i	−0.885795	+	1.53424i
$216$	1.40432	−	6.30256i	0.0955519	−	0.428835i
$217$	0.0192796	+	5.85512i	0.00130878	+	0.397471i
$218$	1.81088	−	4.97534i	0.122648	−	0.336973i
$219$	−9.92646	−	2.50940i	−0.670768	−	0.169570i
$220$	18.2068	+	3.21034i	1.22750	+	0.216441i
$221$	5.45702	+	14.9930i	0.367079	+	1.00854i
$222$	−0.0711445	+	0.971800i	−0.00477491	+	0.0652229i
$223$	−9.50475	−	11.3273i	−0.636485	−	0.758534i	0.347325	−	0.937745i	$-0.387090\pi$
$223$	−9.50475	−	11.3273i	−0.636485	−	0.758534i	−0.983811	+	0.179211i	$0.942646\pi$
$224$	8.16284	−	4.74872i	0.545403	−	0.317287i
$225$	6.31338	+	7.10449i	0.420892	+	0.473633i
$226$	1.68714	+	2.92221i	0.112227	+	0.194383i
$227$	−7.02467	+	5.89440i	−0.466244	+	0.391225i	−0.845422	−	0.534099i	$-0.820651\pi$
$227$	−7.02467	+	5.89440i	−0.466244	+	0.391225i	0.379178	+	0.925324i	$0.376207\pi$
$228$	18.0590	−	1.83847i	1.19598	−	0.121756i
$229$	12.5995	+	2.22163i	0.832599	+	0.146810i	0.573670	−	0.819087i	$-0.305519\pi$
$229$	12.5995	+	2.22163i	0.832599	+	0.146810i	0.258929	+	0.965896i	$0.416630\pi$
$230$	1.17716	−	0.428451i	0.0776196	−	0.0282512i
$231$	6.35085	−	14.2653i	0.417855	−	0.938586i
$232$	1.77607	+	10.0726i	0.116605	+	0.661299i
$233$	−14.7803	+	8.53340i	−0.968289	+	0.559042i	−0.898714	−	0.438535i	$-0.855498\pi$
$233$	−14.7803	+	8.53340i	−0.968289	+	0.559042i	−0.0695746	+	0.997577i	$0.522164\pi$
$234$	0.0928317	+	3.27066i	0.00606860	+	0.213810i
$235$	4.37924	−	7.58507i	0.285670	−	0.494796i
$236$	2.26270	+	12.8324i	0.147289	+	0.835317i
$237$	11.1248	−	16.3775i	0.722630	−	1.06383i
$238$	−2.51805	+	3.02105i	−0.163221	+	0.195825i
$239$	−4.33839	+	5.17029i	−0.280627	+	0.334438i	−0.887884	−	0.460067i	$-0.847825\pi$
$239$	−4.33839	+	5.17029i	−0.280627	+	0.334438i	0.607257	+	0.794505i	$0.292270\pi$
$240$	12.0710	+	11.7333i	0.779181	+	0.757379i
$241$	−2.76527	+	0.487591i	−0.178126	+	0.0314085i	−0.262000	−	0.965068i	$-0.584382\pi$
$241$	−2.76527	+	0.487591i	−0.178126	+	0.0314085i	0.0838734	+	0.996476i	$0.473271\pi$
$242$	−0.168677	+	0.0973859i	−0.0108430	+	0.00626021i
$243$	2.95719	−	15.3054i	0.189704	−	0.981841i
$244$		−	18.6856i		−	1.19622i
$245$	18.8441	+	6.71848i	1.20390	+	0.429228i
$246$	−2.82944	−	0.715280i	−0.180398	−	0.0456046i
$247$	−17.7496	+	6.46034i	−1.12938	+	0.411061i
$248$	2.58423	−	0.940584i	0.164099	−	0.0597272i
$249$	−12.3639	−	0.905152i	−0.783533	−	0.0573617i
$250$	−1.64355	+	0.289802i	−0.103947	+	0.0183287i
$251$	−11.4184	−	19.7772i	−0.720720	−	1.24832i	−0.960712	−	0.277549i	$-0.910478\pi$
$251$	−11.4184	−	19.7772i	−0.720720	−	1.24832i	0.239992	−	0.970775i	$-0.422855\pi$
$252$	12.8042	−	7.94340i	0.806587	−	0.500387i
$253$	2.34273	−	4.05772i	0.147286	−	0.255107i
$254$	−1.85055	+	5.08434i	−0.116114	+	0.319020i
$255$	−21.0574	−	9.45786i	−1.31866	−	0.592274i
$256$	6.49298	+	5.44825i	0.405811	+	0.340516i
$257$	2.17396	−	12.3291i	0.135608	−	0.769069i	−0.838827	−	0.544398i	$-0.816758\pi$
$257$	2.17396	−	12.3291i	0.135608	−	0.769069i	0.974435	−	0.224671i	$-0.0721307\pi$
$258$	2.05607	−	4.57773i	0.128006	−	0.284997i
$259$	−3.56701	+	3.01315i	−0.221643	+	0.187228i
$260$	−16.0766	−	9.28182i	−0.997027	−	0.575634i
$261$	4.97589	+	24.1854i	0.308000	+	1.49704i
$262$	−4.41569	−	2.54940i	−0.272802	−	0.157502i
$263$	4.35051	−	11.9529i	0.268264	−	0.737049i	−0.730282	−	0.683146i	$-0.760611\pi$
$263$	4.35051	−	11.9529i	0.268264	−	0.737049i	0.998546	−	0.0539035i	$-0.0171663\pi$
$264$	−7.31462	−	0.535497i	−0.450184	−	0.0329575i
$265$	4.25735	+	0.750685i	0.261527	+	0.0461142i
$266$	−3.57649	−	2.98102i	−0.219289	−	0.182778i
$267$	20.4290	−	5.78578i	1.25023	−	0.354084i
$268$	−13.9483	+	11.7040i	−0.852027	+	0.714936i
$269$	9.79421	+	16.9641i	0.597163	+	1.03432i	0.993238	+	0.116099i	$0.0370389\pi$
$269$	9.79421	+	16.9641i	0.597163	+	1.03432i	−0.396074	+	0.918218i	$0.629628\pi$
$270$	−3.48674	−	3.20188i	−0.212196	−	0.194860i
$271$	16.1584	+	9.32907i	0.981555	+	0.566701i	0.902739	−	0.430188i	$-0.141553\pi$
$271$	16.1584	+	9.32907i	0.981555	+	0.566701i	0.0788154	+	0.996889i	$0.474886\pi$
$272$	−14.9017	−	5.42376i	−0.903546	−	0.328864i
$273$	−10.8915	+	11.2790i	−0.659181	+	0.682639i
$274$	3.18214	+	2.67013i	0.192240	+	0.161309i
$275$	6.93911	−	8.26971i	0.418444	−	0.498682i
$276$	4.07016	−	1.96872i	0.244995	−	0.118503i
$277$	2.50916	+	0.913261i	0.150761	+	0.0548725i	0.416298	−	0.909228i	$-0.363327\pi$
$277$	2.50916	+	0.913261i	0.150761	+	0.0548725i	−0.265537	+	0.964101i	$0.585549\pi$
$278$	1.30570			0.0783104
$279$	6.17179	−	2.44680i	0.369496	−	0.146486i
$280$	−0.0309404	−	9.39647i	−0.00184904	−	0.561546i
$281$	17.0926	−	3.01388i	1.01966	−	0.179793i	0.361261	−	0.932465i	$-0.382346\pi$
$281$	17.0926	−	3.01388i	1.01966	−	0.179793i	0.658396	+	0.752672i	$0.271235\pi$
$282$	−0.693243	+	1.54346i	−0.0412820	+	0.0919120i
$283$	0.702594	−	0.837319i	0.0417649	−	0.0497734i	−0.744758	−	0.667335i	$-0.767435\pi$
$283$	0.702594	−	0.837319i	0.0417649	−	0.0497734i	0.786523	+	0.617562i	$0.211879\pi$
$284$	−13.5933	+	16.1998i	−0.806613	+	0.961284i
$285$	11.1968	−	24.9289i	0.663239	−	1.47666i
$286$	3.65995	−	0.645349i	0.216418	−	0.0381603i
$287$	−7.03244	−	12.0884i	−0.415112	−	0.713558i
$288$	−8.39485	−	6.64752i	−0.494671	−	0.391709i
$289$	4.74568			0.279158
$290$	7.04615	+	2.56459i	0.413764	+	0.150598i
$291$	3.91912	−	1.89567i	0.229743	−	0.111126i
$292$	−7.21337	+	8.59656i	−0.422130	+	0.503075i
$293$	−16.1311	−	13.5356i	−0.942391	−	0.790760i	0.0356088	−	0.999366i	$-0.488663\pi$
$293$	−16.1311	−	13.5356i	−0.942391	−	0.790760i	−0.978000	+	0.208606i	$0.933107\pi$
$294$	−3.75311	−	0.922532i	−0.218886	−	0.0538032i
$295$	18.4339	+	6.70940i	1.07326	+	0.390636i
$296$	1.89930	+	1.09656i	0.110394	+	0.0637362i
$297$	−17.6882	−	0.791244i	−1.02637	−	0.0459126i
$298$	0.237741	+	0.411779i	0.0137720	+	0.0238537i
$299$	−3.60402	+	3.02414i	−0.208426	+	0.174890i
$300$	10.0229	−	2.83863i	0.578671	−	0.163888i
$301$	22.5701	−	8.29911i	1.30092	−	0.478353i
$302$	−1.52489	−	0.268880i	−0.0877478	−	0.0154723i
$303$	16.0910	+	1.17800i	0.924402	+	0.0676746i
$304$	6.42097	−	17.6415i	0.368268	−	1.01181i
$305$	−24.3620	−	14.0654i	−1.39496	−	0.805383i
$306$	4.23208	+	1.40571i	0.241932	+	0.0803591i
$307$	19.7567	+	11.4065i	1.12757	+	0.651004i	0.943323	−	0.331876i	$-0.107682\pi$
$307$	19.7567	+	11.4065i	1.12757	+	0.651004i	0.184249	+	0.982880i	$0.441015\pi$
$308$	−11.0442	−	13.0743i	−0.629303	−	0.744979i
$309$	−7.99827	+	17.8077i	−0.455006	+	1.01304i
$310$	0.350100	−	1.98552i	0.0198843	−	0.112770i
$311$	17.2454	+	14.4706i	0.977895	+	0.820551i	0.983770	−	0.179431i	$-0.0574258\pi$
$311$	17.2454	+	14.4706i	0.977895	+	0.820551i	−0.00587548	+	0.999983i	$0.501870\pi$
$312$	6.71786	+	3.01731i	0.380324	+	0.170821i
$313$	0.482843	−	1.32660i	0.0272919	−	0.0749839i	−0.925298	−	0.379240i	$-0.876186\pi$
$313$	0.482843	−	1.32660i	0.0272919	−	0.0749839i	0.952590	+	0.304256i	$0.0984078\pi$
$314$	3.59031	−	6.21859i	0.202613	−	0.350935i
$315$	−0.718263	−	22.6732i	−0.0404695	−	1.27749i
$316$	−10.8500	−	18.7927i	−0.610358	−	1.05717i
$317$	6.75056	−	1.19031i	0.379149	−	0.0668542i	0.0191741	−	0.999816i	$-0.493896\pi$
$317$	6.75056	−	1.19031i	0.379149	−	0.0668542i	0.359975	+	0.932962i	$0.382785\pi$
$318$	−0.832911	−	0.0609766i	−0.0467073	−	0.00341940i
$319$	26.3545	−	9.59225i	1.47557	−	0.537063i
$320$	15.2101	−	5.53604i	0.850273	−	0.309474i
$321$	11.2434	+	2.84232i	0.627544	+	0.158643i
$322$	−1.09104	−	0.393043i	−0.0608014	−	0.0219034i
$323$			25.7438i			1.43242i
$324$	−13.6901	−	10.2223i	−0.760561	−	0.567905i
$325$	−9.38747	+	5.41986i	−0.520723	+	0.300640i
$326$	−3.02186	+	0.532836i	−0.167365	+	0.0295110i
$327$	−20.6294	−	20.0522i	−1.14081	−	1.10889i
$328$	−4.22225	+	5.03188i	−0.233135	+	0.277839i
$329$	−7.60992	+	2.79819i	−0.419548	+	0.154269i
$330$	−3.02124	+	4.44778i	−0.166314	+	0.244842i
$331$	0.516799	+	2.93091i	0.0284058	+	0.161098i	0.995711	−	0.0925176i	$-0.0294914\pi$
$331$	0.516799	+	2.93091i	0.0284058	+	0.161098i	−0.967305	+	0.253615i	$0.918380\pi$
$332$	−6.79379	+	11.7672i	−0.372858	+	0.645808i
$333$	4.65845	+	2.51610i	0.255281	+	0.137882i
$334$	−2.78311	+	1.60683i	−0.152285	+	0.0879219i
$335$	4.76007	+	26.9957i	0.260070	+	1.47493i
$336$	−1.62937	−	15.4983i	−0.0888893	−	0.845504i
$337$	23.6884	−	8.62186i	1.29039	−	0.469663i	0.396534	−	0.918020i	$-0.370213\pi$
$337$	23.6884	−	8.62186i	1.29039	−	0.469663i	0.893854	+	0.448357i	$0.147991\pi$
$338$	0.405999	+	0.0715886i	0.0220834	+	0.00389391i
$339$	18.2402	−	1.85693i	0.990674	−	0.100854i
$340$	−19.3815	+	16.2630i	−1.05111	+	0.881984i
$341$	−3.77046	−	6.53063i	−0.204182	−	0.353653i
$342$	−1.66416	+	5.01019i	−0.0899876	+	0.270920i
$343$	−9.41811	−	15.9468i	−0.508530	−	0.861044i
$344$	−7.26016	−	8.65232i	−0.391442	−	0.466502i
$345$	0.496984	−	6.78856i	0.0267567	−	0.365484i
$346$	−1.34763	−	3.70257i	−0.0724488	−	0.199051i
$347$	−2.26682	−	0.399701i	−0.121689	−	0.0214571i	0.112472	−	0.993655i	$-0.464123\pi$
$347$	−2.26682	−	0.399701i	−0.121689	−	0.0214571i	−0.234161	+	0.972198i	$0.575234\pi$
$348$	26.2378	+	6.63290i	1.40649	+	0.355561i
$349$	2.39148	−	6.57053i	0.128013	−	0.351712i	−0.859084	−	0.511834i	$-0.828966\pi$
$349$	2.39148	−	6.57053i	0.128013	−	0.351712i	0.987097	+	0.160121i	$0.0511886\pi$
$350$	−2.31833	−	1.32833i	−0.123920	−	0.0710022i
$351$	16.4180	+	6.82117i	0.876331	+	0.364087i
$352$	−6.08129	+	10.5331i	−0.324134	+	0.561416i
$353$	−3.83541	−	21.7517i	−0.204138	−	1.15772i	−0.898790	−	0.438379i	$-0.855553\pi$
$353$	−3.83541	−	21.7517i	−0.204138	−	1.15772i	0.694652	−	0.719346i	$-0.255558\pi$
$354$	−3.67410	−	0.928811i	−0.195276	−	0.0493658i
$355$	10.8889	+	29.9170i	0.577923	+	1.58783i
$356$	4.04106	−	22.9180i	0.214176	−	1.21465i
$357$	9.36833	+	19.2066i	0.495825	+	1.01652i
$358$	3.85423	−	3.23408i	0.203702	−	0.170926i
$359$			32.6065i			1.72090i	0.509532	+	0.860451i	$0.329818\pi$
$359$			32.6065i			1.72090i	−0.509532	+	0.860451i	$0.670182\pi$
$360$	−9.90468	+	3.92670i	−0.522022	+	0.206955i
$361$	−11.4770			−0.604055
$362$	−3.92926	−	1.43014i	−0.206518	−	0.0751662i
$363$	0.107186	+	1.05287i	0.00562583	+	0.0552615i
$364$	5.93078	+	16.1292i	0.310857	+	0.845402i
$365$	5.77827	+	15.8757i	0.302449	+	0.830971i
$366$	4.95735	+	2.22658i	0.259125	+	0.116385i
$367$	2.73420	+	3.25850i	0.142724	+	0.170092i	0.832671	−	0.553768i	$-0.186811\pi$
$367$	2.73420	+	3.25850i	0.142724	+	0.170092i	−0.689947	+	0.723860i	$0.742366\pi$
$368$		−	4.67605i		−	0.243756i
$369$	−9.84439	+	12.4320i	−0.512479	+	0.647185i
$370$	1.39241	−	0.803911i	0.0723882	−	0.0417933i
$371$	−2.58251	−	3.05721i	−0.134077	−	0.158723i
$372$	0.531299	−	7.25728i	0.0275466	−	0.376273i
$373$	−18.6688	−	15.6650i	−0.966633	−	0.811101i	0.0153863	−	0.999882i	$-0.495102\pi$
$373$	−18.6688	−	15.6650i	−0.966633	−	0.811101i	−0.982019	+	0.188780i	$0.939547\pi$
$374$	0.879557	−	4.98821i	0.0454808	−	0.257934i
$375$	−2.22251	+	8.79160i	−0.114770	+	0.453996i
$376$	2.44789	+	2.91729i	0.126241	+	0.150448i
$377$	−28.1612			−1.45037
$378$	0.581662	+	4.34353i	0.0299175	+	0.223407i
$379$	−17.8518			−0.916987			−0.458493	−	0.888698i	$-0.651611\pi$
$379$	−17.8518			−0.916987			−0.458493	+	0.888698i	$0.651611\pi$
$380$	−19.2531	−	22.9449i	−0.987661	−	1.17705i
$381$	21.0813	+	20.4914i	1.08003	+	1.04981i
$382$	0.983789	−	5.57934i	0.0503350	−	0.285464i
$383$	20.9677	+	17.5940i	1.07140	+	0.899009i	0.995178	−	0.0980821i	$-0.0312708\pi$
$383$	20.9677	+	17.5940i	1.07140	+	0.899009i	0.0762189	+	0.997091i	$0.475715\pi$
$384$	−13.9458	+	6.74555i	−0.711670	+	0.344232i
$385$	−25.3596	+	4.55773i	−1.29244	+	0.232283i
$386$	−3.76104	+	2.17144i	−0.191432	+	0.110523i
$387$	−18.1127	−	20.3823i	−0.920720	−	1.03609i
$388$		−	4.77160i		−	0.242241i
$389$	10.4768	+	12.4858i	0.531197	+	0.633056i	0.963190	−	0.268821i	$-0.0866341\pi$
$389$	10.4768	+	12.4858i	0.531197	+	0.633056i	−0.431993	+	0.901877i	$0.642190\pi$
$390$	4.37819	−	3.15915i	0.221698	−	0.159970i
$391$	2.19308	+	6.02544i	0.110909	+	0.304720i
$392$	−5.54742	+	6.70028i	−0.280187	+	0.338415i
$393$	−22.4668	+	16.2112i	−1.13330	+	0.817749i
$394$	2.76228	+	1.00539i	0.139162	+	0.0506506i
$395$	−32.6688			−1.64375
$396$	−9.22239	+	17.0748i	−0.463443	+	0.858042i
$397$			4.55646i			0.228682i	0.993442	+	0.114341i	$0.0364757\pi$
$397$			4.55646i			0.228682i	−0.993442	+	0.114341i	$0.963524\pi$
$398$	−0.0654872	+	0.0549503i	−0.00328258	+	0.00275441i
$399$	−22.7379	+	11.0908i	−1.13832	+	0.555234i
$400$	1.87083	−	10.6100i	0.0935414	−	0.530499i
$401$	12.8930	+	35.4232i	0.643844	+	1.76895i	0.639299	+	0.768958i	$0.279225\pi$
$401$	12.8930	+	35.4232i	0.643844	+	1.76895i	0.00454521	+	0.999990i	$0.498553\pi$
$402$	−1.44303	−	5.09519i	−0.0719719	−	0.254125i
$403$	1.31485	+	7.45689i	0.0654974	+	0.371454i
$404$	8.84173	−	15.3143i	0.439893	−	0.761916i
$405$	−23.6328	+	10.1542i	−1.17432	+	0.504568i
$406$	−3.49053	−	6.00007i	−0.173232	−	0.297778i
$407$	2.05680	−	5.65101i	0.101952	−	0.280110i
$408$	6.99583	−	7.19721i	0.346345	−	0.356315i
$409$	−0.986288	−	0.173909i	−0.0487688	−	0.00859926i	0.149211	−	0.988805i	$-0.452327\pi$
$409$	−0.986288	−	0.173909i	−0.0487688	−	0.00859926i	−0.197979	+	0.980206i	$0.563438\pi$
$410$	1.64704	+	4.52520i	0.0813415	+	0.223484i
$411$	20.3190	−	9.82826i	1.00226	−	0.484792i
$412$	13.7532	+	16.3904i	0.677571	+	0.807498i
$413$	−9.13182	−	15.6972i	−0.449348	−	0.772408i
$414$	0.0373075	+	1.31442i	0.00183356	+	0.0646003i
$415$	10.2279	+	17.7153i	0.502069	+	0.869610i
$416$	9.35538	−	7.85009i	0.458685	−	0.384883i
$417$	2.90680	−	6.47183i	0.142347	−	0.316927i
$418$	5.90534	+	1.04127i	0.288840	+	0.0509302i
$419$	−2.20646	+	0.803084i	−0.107792	+	0.0392332i	−0.395353	−	0.918529i	$-0.629378\pi$
$419$	−2.20646	+	0.803084i	−0.107792	+	0.0392332i	0.287561	+	0.957762i	$0.407156\pi$
$420$	−22.7139	−	10.1121i	−1.10832	−	0.493421i
$421$	1.14047	+	6.46793i	0.0555831	+	0.315228i	0.999905	−	0.0137960i	$-0.00439155\pi$
$421$	1.14047	+	6.46793i	0.0555831	+	0.315228i	−0.944322	+	0.329024i	$0.893280\pi$
$422$	−3.61138	+	2.08503i	−0.175799	+	0.101498i
$423$	6.10702	+	6.87227i	0.296934	+	0.334141i
$424$	−0.939840	+	1.62785i	−0.0456426	+	0.0790554i
$425$	2.56542	+	14.5492i	0.124441	+	0.705740i
$426$	−2.67810	−	5.53673i	−0.129754	−	0.268255i
$427$	8.98734	+	24.4418i	0.434928	+	1.18282i
$428$	8.17035	−	9.73704i	0.394929	−	0.470658i
$429$	4.94922	−	19.5777i	0.238951	−	0.945219i
$430$	−8.15466	+	1.43789i	−0.393253	+	0.0693411i
$431$	13.3456	−	7.70506i	0.642833	−	0.371140i	−0.142872	−	0.989741i	$-0.545634\pi$
$431$	13.3456	−	7.70506i	0.642833	−	0.371140i	0.785705	+	0.618602i	$0.212300\pi$
$432$	−15.6825	+	8.14247i	−0.754524	+	0.391755i
$433$		−	9.87188i		−	0.474412i	−0.971459	−	0.237206i	$-0.923768\pi$
$433$		−	9.87188i		−	0.474412i	0.971459	−	0.237206i	$-0.0762317\pi$
$434$	−1.42580	+	1.20441i	−0.0684408	+	0.0578138i
$435$	28.3982	−	29.2156i	1.36159	−	1.40078i
$436$	−29.6303	+	10.7845i	−1.41903	+	0.516486i
$437$	−7.13327	+	2.59630i	−0.341231	+	0.124198i
$438$	−1.42115	−	2.93810i	−0.0679052	−	0.140388i
$439$	−34.7691	+	6.13074i	−1.65944	+	0.292604i	−0.923258	−	0.384180i	$-0.874484\pi$
$439$	−34.7691	+	6.13074i	−1.65944	+	0.292604i	−0.736182	+	0.676784i	$0.763373\pi$
$440$	6.05094	+	10.4805i	0.288467	+	0.499640i
$441$	−12.9280	+	16.5489i	−0.615619	+	0.788044i
$442$	−2.54299	+	4.40460i	−0.120958	+	0.209505i
$443$	1.52210	−	4.18193i	0.0723170	−	0.198689i	−0.898268	−	0.439448i	$-0.855174\pi$
$443$	1.52210	−	4.18193i	0.0723170	−	0.198689i	0.970585	+	0.240759i	$0.0773963\pi$
$444$	4.70582	−	3.39555i	0.223328	−	0.161146i
$445$	−26.8383	−	22.5200i	−1.27226	−	1.06755i
$446$	0.818494	−	4.64191i	0.0387568	−	0.219801i
$447$	2.57030	−	0.261666i	0.121571	−	0.0123764i
$448$	−14.0974	−	5.07853i	−0.666040	−	0.239938i
$449$	4.96216	+	2.86491i	0.234179	+	0.135203i	0.612498	−	0.790472i	$-0.290165\pi$
$449$	4.96216	+	2.86491i	0.234179	+	0.135203i	−0.378319	+	0.925675i	$0.623498\pi$
$450$	−0.441233	+	2.99736i	−0.0207999	+	0.141297i
$451$	15.5986	+	9.00585i	0.734509	+	0.424069i
$452$	6.87299	−	18.8834i	0.323278	−	0.888200i
$453$	−4.72753	+	6.95971i	−0.222119	+	0.326996i
$454$	−2.87869	−	0.507591i	−0.135104	−	0.0238224i
$455$	25.4934	+	4.40868i	1.19515	+	0.206682i
$456$	8.52048	+	8.28207i	0.399008	+	0.387844i
$457$	31.3062	−	26.2690i	1.46444	−	1.22881i	0.543327	−	0.839521i	$-0.317165\pi$
$457$	31.3062	−	26.2690i	1.46444	−	1.22881i	0.921115	−	0.389291i	$-0.127280\pi$
$458$	2.03913	+	3.53187i	0.0952821	+	0.165033i
$459$	16.3892	−	17.8473i	0.764983	−	0.833042i
$460$	−6.46090	−	3.73020i	−0.301241	−	0.173922i
$461$	25.5016	+	9.28183i	1.18773	+	0.432298i	0.858925	−	0.512101i	$-0.171133\pi$
$461$	25.5016	+	9.28183i	1.18773	+	0.432298i	0.328803	+	0.944399i	$0.393355\pi$
$462$	4.78470	−	1.37213i	0.222605	−	0.0638374i
$463$	−9.76642	−	8.19500i	−0.453884	−	0.380854i	0.386991	−	0.922084i	$-0.373515\pi$
$463$	−9.76642	−	8.19500i	−0.453884	−	0.380854i	−0.840875	+	0.541230i	$0.817959\pi$
$464$	17.9913	−	21.4412i	0.835227	−	0.995385i
$465$	−9.06202	−	6.15556i	−0.420241	−	0.285457i
$466$	−5.11222	−	1.86070i	−0.236819	−	0.0861951i
$467$	22.5443			1.04323			0.521613	−	0.853182i	$-0.325330\pi$
$467$	22.5443			1.04323			0.521613	+	0.853182i	$0.325330\pi$
$468$	14.5658	−	12.9438i	0.673304	−	0.598330i
$469$	12.6158	−	22.0183i	0.582543	−	1.01671i
$470$	2.74949	−	0.484810i	0.126825	−	0.0223626i
$471$	−22.8302	−	31.6399i	−1.05196	−	1.45789i
$472$	−5.48271	+	6.53404i	−0.252362	+	0.300754i
$473$	−19.9078	+	23.7252i	−0.915364	+	1.09089i
$474$	6.27865	−	0.639190i	0.288388	−	0.0293590i
$475$	−17.2242	+	3.03709i	−0.790300	+	0.139351i
$476$	23.4217	−	0.0771223i	1.07353	−	0.00353489i
$477$	−2.15650	+	3.99267i	−0.0987395	+	0.182812i
$478$	−2.15146			−0.0984053
$479$	−30.6612	−	11.1598i	−1.40095	−	0.509903i	−0.472489	−	0.881337i	$-0.656644\pi$
$479$	−30.6612	−	11.1598i	−1.40095	−	0.509903i	−0.928460	+	0.371433i	$0.878866\pi$
$480$	−1.29008	+	17.6218i	−0.0588837	+	0.804323i
$481$	−3.88141	+	4.62569i	−0.176977	+	0.210913i
$482$	−0.685664	−	0.575340i	−0.0312311	−	0.0262060i
$483$	−4.37709	+	4.53285i	−0.199164	+	0.206252i
$484$	1.09000	+	0.396726i	0.0495453	+	0.0180330i
$485$	−6.22115	−	3.59178i	−0.282488	−	0.163094i
$486$	4.34333	−	2.41394i	0.197017	−	0.109499i
$487$	3.41485	+	5.91469i	0.154741	+	0.268020i	0.932965	−	0.359967i	$-0.117212\pi$
$487$	3.41485	+	5.91469i	0.154741	+	0.268020i	−0.778223	+	0.627988i	$0.783879\pi$
$488$	9.36984	−	7.86223i	0.424153	−	0.355906i
$489$	−4.08635	+	16.1644i	−0.184791	+	0.730980i
$490$	2.22055	+	5.97813i	0.100314	+	0.270064i
$491$	−2.93823	−	0.518089i	−0.132601	−	0.0233810i	0.106954	−	0.994264i	$-0.465890\pi$
$491$	−2.93823	−	0.518089i	−0.132601	−	0.0233810i	−0.239554	+	0.970883i	$0.577001\pi$
$492$	7.56811	+	15.6464i	0.341197	+	0.705394i
$493$	−13.1272	+	36.0667i	−0.591219	+	1.62436i
$494$	−5.21442	−	3.01055i	−0.234608	−	0.135451i
$495$	15.3199	+	24.8770i	0.688576	+	1.11814i
$496$	−6.51752	−	3.76289i	−0.292645	−	0.168959i
$497$	9.98903	−	27.7284i	0.448069	−	1.24379i
$498$	−2.31233	−	3.20460i	−0.103618	−	0.143602i
$499$	5.31326	−	30.1330i	0.237854	−	1.34894i	−0.598664	−	0.801000i	$-0.704302\pi$
$499$	5.31326	−	30.1330i	0.237854	−	1.34894i	0.836518	−	0.547939i	$-0.184587\pi$
$500$	7.61374	+	6.38869i	0.340497	+	0.285711i
$501$	1.76854	+	17.3720i	0.0790124	+	0.776124i
$502$	2.48976	−	6.84055i	0.111123	−	0.305309i
$503$	4.53519	−	7.85518i	0.202214	−	0.350245i	−0.747027	−	0.664793i	$-0.768520\pi$
$503$	4.53519	−	7.85518i	0.202214	−	0.350245i	0.949242	+	0.314548i	$0.101853\pi$
$504$	9.37074	+	3.07832i	0.417406	+	0.137119i
$505$	−13.3111	−	23.0555i	−0.592335	−	1.02595i
$506$	1.47087	−	0.259355i	0.0653883	−	0.0115297i
$507$	1.25869	−	1.85301i	0.0559005	−	0.0822949i
$508$	30.2794	−	11.0208i	1.34343	−	0.488969i
$509$	−7.01260	+	2.55238i	−0.310828	+	0.113132i	−0.492724	−	0.870186i	$-0.663999\pi$
$509$	−7.01260	+	2.55238i	−0.310828	+	0.113132i	0.181896	+	0.983318i	$0.441777\pi$
$510$	−2.00513	−	7.07988i	−0.0887884	−	0.313502i
$511$	5.30075	−	14.7143i	0.234491	−	0.650920i
$512$			20.5900i			0.909956i
$513$	21.1287	+	19.4025i	0.932855	+	0.856642i
$514$	3.45607	−	1.99536i	0.152441	−	0.0880117i
$515$	31.7222	−	5.59348i	1.39785	−	0.246478i
$516$	−28.7550	+	8.14383i	−1.26587	+	0.358512i
$517$	6.71229	−	7.99940i	0.295206	−	0.351813i
$518$	−1.46665	−	0.253634i	−0.0644410	−	0.0111440i
$519$	−21.3523	−	1.56318i	−0.937264	−	0.0686162i
$520$	−2.11011	−	11.9670i	−0.0925345	−	0.524789i
$521$	7.87991	−	13.6484i	0.345225	−	0.597947i	−0.640170	−	0.768234i	$-0.721136\pi$
$521$	7.87991	−	13.6484i	0.345225	−	0.597947i	0.985395	+	0.170286i	$0.0544692\pi$
$522$	−4.88624	+	6.17061i	−0.213865	+	0.270080i
$523$	4.87781	−	2.81620i	0.213292	−	0.123144i	−0.389549	−	0.921006i	$-0.627369\pi$
$523$	4.87781	−	2.81620i	0.213292	−	0.123144i	0.602840	+	0.797862i	$0.294036\pi$
$524$	5.27292	+	29.9042i	0.230348	+	1.30637i
$525$	−11.7452	+	8.53386i	−0.512602	+	0.372448i
$526$	3.81019	−	1.38679i	0.166132	−	0.0604671i
$527$	10.1631	+	1.79203i	0.442712	+	0.0780622i
$528$	11.7441	+	16.2758i	0.511095	+	0.708314i
$529$	16.1706	−	13.5688i	0.703071	−	0.589946i
$530$	0.689016	+	1.19341i	0.0299290	+	0.0518385i
$531$	−12.7832	+	16.1433i	−0.554744	+	0.700561i
$532$	0.0913019	+	27.7280i	0.00395844	+	1.20216i
$533$	−11.6253	−	13.8545i	−0.503548	−	0.600105i
$534$	5.59869	+	3.80303i	0.242279	+	0.164573i
$535$	−6.54487	−	17.9819i	−0.282959	−	0.777424i
$536$	−11.7379	−	2.06971i	−0.507000	−	0.0893977i
$537$	−7.44961	−	26.3038i	−0.321474	−	1.13509i
$538$	−2.13561	+	5.86755i	−0.0920729	+	0.252968i
$539$	20.7349	+	11.7899i	0.893117	+	0.507829i
$540$	−1.25986	+	28.1640i	−0.0542156	+	1.21198i
$541$	−0.446747	+	0.773788i	−0.0192071	+	0.0332677i	−0.875469	−	0.483274i	$-0.839448\pi$
$541$	−0.446747	+	0.773788i	−0.0192071	+	0.0332677i	0.856262	+	0.516542i	$0.172781\pi$
$542$	1.03279	+	5.85722i	0.0443620	+	0.251589i
$543$	−15.8361	+	16.2920i	−0.679594	+	0.699156i
$544$	−5.69283	−	15.6409i	−0.244078	−	0.670599i
$545$	−8.24321	+	46.7496i	−0.353100	+	2.00253i
$546$	−4.98586	−	0.348509i	−0.213375	−	0.0149148i
$547$	4.87449	−	4.09018i	0.208418	−	0.174884i	−0.532603	−	0.846365i	$-0.678786\pi$
$547$	4.87449	−	4.09018i	0.208418	−	0.174884i	0.741021	+	0.671481i	$0.234342\pi$
$548$		−	24.7388i		−	1.05679i
$549$	22.0726	−	19.6147i	0.942035	−	0.837137i
$550$	3.44118			0.146733
$551$	−42.6978	−	15.5407i	−1.81899	−	0.662058i
$552$	2.69979	+	1.21260i	0.114911	+	0.0516118i
$553$	23.2312	+	19.3633i	0.987891	+	0.823411i
$554$	0.291117	+	0.799836i	0.0123684	+	0.0339818i
$555$	−0.884813	−	8.69136i	−0.0375582	−	0.368928i
$556$	−4.99831	−	5.95675i	−0.211975	−	0.252622i
$557$		−	17.2809i		−	0.732217i	−0.930572	−	0.366109i	$-0.880690\pi$
$557$		−	17.2809i		−	0.732217i	0.930572	−	0.366109i	$-0.119310\pi$
$558$	1.86207	+	1.00574i	0.0788279	+	0.0425762i
$559$	26.9320	−	15.5492i	1.13910	−	0.657662i
$560$	−19.6437	+	16.5935i	−0.830096	+	0.701204i
$561$	−22.7665	−	15.4646i	−0.961203	−	0.652917i
$562$	4.23820	+	3.55627i	0.178778	+	0.150012i
$563$	−0.323777	+	1.83623i	−0.0136456	+	0.0773878i	−0.990870	−	0.134820i	$-0.956954\pi$
$563$	−0.323777	+	1.83623i	−0.0136456	+	0.0773878i	0.977225	+	0.212208i	$0.0680654\pi$
$564$	9.69526	−	2.74584i	0.408244	−	0.115621i
$565$	−19.4463	−	23.1752i	−0.818113	−	0.974989i
$566$	0.348424			0.0146454
$567$	22.8241	+	6.78671i	0.958523	+	0.285015i
$568$	−13.8429			−0.580837
$569$	16.5138	+	19.6804i	0.692296	+	0.825046i	0.991631	−	0.129102i	$-0.0412095\pi$
$569$	16.5138	+	19.6804i	0.692296	+	0.825046i	−0.299336	+	0.954148i	$0.596765\pi$
$570$	8.38157	−	2.37378i	0.351066	−	0.0994269i
$571$	−0.379935	+	2.15472i	−0.0158998	+	0.0901722i	−0.991725	−	0.128380i	$-0.959022\pi$
$571$	−0.379935	+	2.15472i	−0.0158998	+	0.0901722i	0.975825	+	0.218552i	$0.0701334\pi$
$572$	−16.9547	−	14.2267i	−0.708914	−	0.594849i
$573$	−25.4645	−	17.2973i	−1.06379	−	0.722603i
$574$	1.51092	−	4.19415i	0.0630648	−	0.175060i
$575$	−3.77267	+	2.17815i	−0.157331	+	0.0908351i
$576$	0.482052	+	16.9837i	0.0200855	+	0.707655i
$577$		−	14.2718i		−	0.594142i	−0.954855	−	0.297071i	$-0.903990\pi$
$577$		−	14.2718i		−	0.594142i	0.954855	−	0.297071i	$-0.0960098\pi$
$578$	0.972385	+	1.15884i	0.0404459	+	0.0482015i
$579$	2.38996	+	23.4762i	0.0993234	+	0.975636i
$580$	−15.2732	−	41.9629i	−0.634187	−	1.74241i
$581$	3.22691	−	18.6598i	0.133875	−	0.774139i
$582$	1.26592	+	0.568586i	0.0524742	+	0.0235686i
$583$	4.84337	+	1.76284i	0.200592	+	0.0730095i
$584$	−7.34586			−0.303974
$585$	−5.91174	−	28.7341i	−0.244420	−	1.18801i
$586$		−	6.71248i		−	0.277290i
$587$	20.9075	−	17.5435i	0.862947	−	0.724098i	−0.0996541	−	0.995022i	$-0.531774\pi$
$587$	20.9075	−	17.5435i	0.862947	−	0.724098i	0.962601	+	0.270924i	$0.0873292\pi$
$588$	10.1585	+	20.6537i	0.418929	+	0.851744i
$589$	−2.12151	+	12.0317i	−0.0874154	+	0.495757i
$590$	2.13873	+	5.87610i	0.0880500	+	0.241915i
$591$	11.1328	−	11.4533i	0.457943	−	0.471125i
$592$	−1.04217	−	5.91043i	−0.0428328	−	0.242917i
$593$	9.81715	−	17.0038i	0.403142	−	0.698262i	−0.590961	−	0.806700i	$-0.701251\pi$
$593$	9.81715	−	17.0038i	0.403142	−	0.698262i	0.994103	+	0.108438i	$0.0345848\pi$
$594$	−3.43107	−	4.48138i	−0.140779	−	0.183873i
$595$	17.5299	−	30.5949i	0.718657	−	1.25427i
$596$	0.968498	−	2.66093i	0.0396712	−	0.108996i
$597$	0.126576	+	0.446928i	0.00518043	+	0.0182915i
$598$	−1.47692	−	0.260421i	−0.0603958	−	0.0106494i
$599$	6.60034	+	18.1343i	0.269682	+	0.740946i	0.998422	+	0.0561554i	$0.0178842\pi$
$599$	6.60034	+	18.1343i	0.269682	+	0.740946i	−0.728740	+	0.684791i	$0.759894\pi$
$600$	5.64070	+	3.83156i	0.230281	+	0.156423i
$601$	13.5997	+	16.2075i	0.554743	+	0.661116i	0.968425	−	0.249305i	$-0.0802021\pi$
$601$	13.5997	+	16.2075i	0.554743	+	0.661116i	−0.413683	+	0.910421i	$0.635758\pi$
$602$	6.65113	+	3.81089i	0.271080	+	0.155320i
$603$	−28.4674	−	4.19060i	−1.15928	−	0.170654i
$604$	4.61075	+	7.98605i	0.187609	+	0.324948i
$605$	1.33773	−	1.12249i	0.0543866	−	0.0456357i
$606$	3.00936	+	4.17061i	0.122247	+	0.169419i
$607$	−14.7116	−	2.59404i	−0.597123	−	0.105289i	−0.133086	−	0.991105i	$-0.542489\pi$
$607$	−14.7116	−	2.59404i	−0.597123	−	0.105289i	−0.464038	+	0.885816i	$0.653600\pi$
$608$	18.5167	−	6.73951i	0.750949	−	0.273323i
$609$	−37.5108	+	3.94358i	−1.52001	+	0.159802i
$610$	−1.55713	−	8.83091i	−0.0630463	−	0.357553i
$611$	−9.08063	+	5.24270i	−0.367363	+	0.212097i
$612$	−9.78771	−	24.6885i	−0.395645	−	0.997972i
$613$	−2.79443	+	4.84009i	−0.112866	+	0.195490i	−0.916925	−	0.399060i	$-0.869336\pi$
$613$	−2.79443	+	4.84009i	−0.112866	+	0.195490i	0.804059	+	0.594550i	$0.202670\pi$
$614$	1.26277	+	7.16153i	0.0509613	+	0.289016i
$615$	26.0964	+	1.91049i	1.05231	+	0.0770385i
$616$	1.90907	−	11.0393i	0.0769187	−	0.444787i
$617$	4.78146	−	5.69832i	0.192494	−	0.229406i	−0.661161	−	0.750244i	$-0.729936\pi$
$617$	4.78146	−	5.69832i	0.192494	−	0.229406i	0.853655	+	0.520838i	$0.174381\pi$
$618$	−5.98728	+	1.69568i	−0.240844	+	0.0682104i
$619$	15.1027	−	2.66302i	0.607030	−	0.107036i	0.138320	−	0.990388i	$-0.455830\pi$
$619$	15.1027	−	2.66302i	0.607030	−	0.107036i	0.468710	+	0.883352i	$0.344719\pi$
$620$	−10.3984	+	6.00351i	−0.417609	+	0.241107i
$621$	6.59813	+	2.74131i	0.264774	+	0.110005i
$622$			7.17613i			0.287737i
$623$	5.73710	+	31.9217i	0.229852	+	1.27892i
$624$	−5.49164	−	19.3904i	−0.219841	−	0.776236i
$625$	28.9459	−	10.5355i	1.15784	−	0.421418i
$626$	0.422875	−	0.153914i	0.0169015	−	0.00615164i
$627$	18.3079	−	26.9523i	0.731148	−	1.07637i
$628$	−42.1140	+	7.42583i	−1.68053	+	0.296323i
$629$	4.11492	+	7.12725i	0.164073	+	0.284182i
$630$	5.38938	−	4.82111i	0.214718	−	0.192078i
$631$	−12.0123	+	20.8060i	−0.478203	+	0.828272i	−0.999688	−	0.0249886i	$-0.992045\pi$
$631$	−12.0123	+	20.8060i	−0.478203	+	0.828272i	0.521485	+	0.853261i	$0.325378\pi$
$632$	4.85827	−	13.3480i	0.193252	−	0.530954i
$633$	2.29486	+	22.5420i	0.0912126	+	0.895965i
$634$	1.67384	+	1.40452i	0.0664767	+	0.0557806i
$635$	8.42380	−	47.7737i	0.334288	−	1.89584i
$636$	2.91026	+	4.03327i	0.115399	+	0.159929i
$637$	−15.5156	−	18.2454i	−0.614750	−	0.722909i
$638$	7.74232	+	4.47003i	0.306521	+	0.176970i
$639$	−33.4055	+	0.948154i	−1.32150	+	0.0375084i
$640$	22.1374	+	12.7810i	0.875056	+	0.505214i
$641$	−15.3856	+	42.2717i	−0.607696	+	1.66963i	0.127552	+	0.991832i	$0.459288\pi$
$641$	−15.3856	+	42.2717i	−0.607696	+	1.66963i	−0.735248	+	0.677798i	$0.762934\pi$
$642$	1.60969	+	3.32790i	0.0635295	+	0.131342i
$643$	5.46038	+	0.962813i	0.215337	+	0.0379696i	0.280276	−	0.959920i	$-0.409574\pi$
$643$	5.46038	+	0.962813i	0.215337	+	0.0379696i	−0.0649390	+	0.997889i	$0.520685\pi$
$644$	2.38348	+	6.48206i	0.0939222	+	0.255429i
$645$	−11.0273	+	43.6206i	−0.434198	+	1.71756i
$646$	−6.28635	+	5.27488i	−0.247333	+	0.207537i
$647$	−17.8595	−	30.9335i	−0.702127	−	1.21612i	−0.967718	−	0.252035i	$-0.918900\pi$
$647$	−17.8595	−	30.9335i	−0.702127	−	1.21612i	0.265591	−	0.964086i	$-0.414433\pi$
$648$	−0.634367	−	11.1661i	−0.0249203	−	0.438644i
$649$	20.2552	+	11.6943i	0.795086	+	0.459043i
$650$	−3.24695	−	1.18179i	−0.127356	−	0.0463538i
$651$	2.79562	+	9.74848i	0.109569	+	0.382073i
$652$	13.9988	+	11.7464i	0.548235	+	0.460023i
$653$	17.1210	−	20.4041i	0.669998	−	0.798473i	−0.318786	−	0.947827i	$-0.603275\pi$
$653$	17.1210	−	20.4041i	0.669998	−	0.798473i	0.988784	+	0.149354i	$0.0477195\pi$
$654$	0.669579	−	9.14612i	0.0261826	−	0.357642i
$655$	42.9578	+	15.6354i	1.67850	+	0.610925i
$656$	17.9755			0.701827
$657$	−17.7269	+	0.503145i	−0.691591	+	0.0196295i
$658$	−2.24255	−	1.28491i	−0.0874237	−	0.0500910i
$659$	27.7440	−	4.89202i	1.08075	−	0.190566i	0.395205	−	0.918593i	$-0.370673\pi$
$659$	27.7440	−	4.89202i	1.08075	−	0.190566i	0.685549	+	0.728027i	$0.259562\pi$
$660$	31.8568	−	3.24315i	1.24003	−	0.126239i
$661$	−21.3442	+	25.4370i	−0.830193	+	0.989386i	0.169799	+	0.985479i	$0.445688\pi$
$661$	−21.3442	+	25.4370i	−0.830193	+	0.989386i	−0.999992	+	0.00390705i	$0.998756\pi$
$662$	−0.609805	+	0.726737i	−0.0237007	+	0.0282454i
$663$	16.1705	+	22.4104i	0.628011	+	0.870346i
$664$	−8.75922	+	1.54449i	−0.339924	+	0.0599377i
$665$	36.2201	+	20.7530i	1.40455	+	0.804765i
$666$	0.340106	+	1.65309i	0.0131788	+	0.0640558i
$667$	−11.3175			−0.438215
$668$	17.9845	+	6.54584i	0.695843	+	0.253266i
$669$	−21.1860	−	14.3910i	−0.819097	−	0.556388i
$670$	−5.61671	+	6.69373i	−0.216992	+	0.258602i
$671$	−25.6927	−	21.5588i	−0.991857	−	0.832267i
$672$	11.3621	−	11.7664i	0.438303	−	0.453901i
$673$	2.51415	+	0.915077i	0.0969135	+	0.0352736i	0.390022	−	0.920806i	$-0.372467\pi$
$673$	2.51415	+	0.915077i	0.0969135	+	0.0352736i	−0.293108	+	0.956079i	$0.594690\pi$
$674$	6.95908	+	4.01783i	0.268054	+	0.154761i
$675$	13.8744	+	8.85988i	0.534028	+	0.341017i
$676$	−1.22760	−	2.12627i	−0.0472154	−	0.0817795i
$677$	−30.4165	+	25.5225i	−1.16900	+	0.980909i	−0.999989	−	0.00470491i	$-0.998502\pi$
$677$	−30.4165	+	25.5225i	−1.16900	+	0.980909i	−0.169013	+	0.985614i	$0.554058\pi$
$678$	4.19084	+	4.07358i	0.160948	+	0.156445i
$679$	2.29503	+	6.24152i	0.0880752	+	0.239528i
$680$	−16.3101	−	2.87591i	−0.625463	−	0.110286i
$681$	−8.92461	+	13.1385i	−0.341992	+	0.503470i
$682$	0.822144	−	2.25882i	0.0314815	−	0.0864947i
$683$	−16.9924	−	9.81058i	−0.650197	−	0.375392i	0.138335	−	0.990386i	$-0.455825\pi$
$683$	−16.9924	−	9.81058i	−0.650197	−	0.375392i	−0.788532	+	0.614994i	$0.789158\pi$
$684$	29.2276	−	11.5873i	1.11755	−	0.443050i
$685$	−32.2541	−	18.6219i	−1.23237	−	0.711507i
$686$	1.96426	−	5.56727i	0.0749958	−	0.212559i
$687$	22.0457	−	2.24433i	0.841096	−	0.0856267i
$688$	−5.36728	+	30.4394i	−0.204626	+	1.16049i
$689$	−3.96459	−	3.32668i	−0.151039	−	0.126737i
$690$	1.75952	−	1.26961i	0.0669838	−	0.0483332i
$691$	1.90749	−	5.24080i	0.0725645	−	0.199369i	−0.898108	−	0.439775i	$-0.855058\pi$
$691$	1.90749	−	5.24080i	0.0725645	−	0.199369i	0.970673	+	0.240406i	$0.0772804\pi$
$692$	−11.7328	+	20.3218i	−0.446013	+	0.772517i
$693$	3.85081	−	26.7706i	0.146280	−	1.01693i
$694$	−0.366866	−	0.635430i	−0.0139260	−	0.0241206i
$695$	−11.5288	+	2.03283i	−0.437311	+	0.0771097i
$696$	7.71389	+	15.9478i	0.292394	+	0.604499i
$697$	−23.1628	+	8.43059i	−0.877355	+	0.319331i
$698$	2.09446	−	0.762322i	0.0792765	−	0.0288543i
$699$	−20.6038	+	21.1969i	−0.779308	+	0.801741i
$700$	2.81474	+	15.6614i	0.106387	+	0.591947i
$701$		−	46.9342i		−	1.77268i	−0.463033	−	0.886341i	$-0.653239\pi$
$701$		−	46.9342i		−	1.77268i	0.463033	−	0.886341i	$-0.346761\pi$
$702$	1.69839	+	5.40675i	0.0641014	+	0.204065i
$703$	−8.43766	+	4.87149i	−0.318232	+	0.183732i
$704$	19.0052	−	3.35113i	0.716286	−	0.126301i
$705$	3.71804	−	14.7075i	0.140029	−	0.553915i
$706$	4.52564	−	5.39345i	0.170325	−	0.202985i
$707$	−4.19964	+	24.2847i	−0.157944	+	0.913320i
$708$	9.82740	+	20.3173i	0.369336	+	0.763570i
$709$	−3.01382	−	17.0922i	−0.113186	−	0.641911i	−0.987632	−	0.156788i	$-0.949886\pi$
$709$	−3.01382	−	17.0922i	−0.113186	−	0.641911i	0.874446	−	0.485123i	$-0.161225\pi$
$710$	−5.07428	+	8.78891i	−0.190434	+	0.329842i
$711$	10.8096	−	32.5438i	0.405392	−	1.22049i
$712$	13.1925	−	7.61670i	0.494410	−	0.285448i
$713$	0.528416	+	2.99680i	0.0197893	+	0.112231i
$714$	−2.77048	+	6.22305i	−0.103683	+	0.232892i
$715$	−31.3111	+	11.3963i	−1.17097	+	0.426198i
$716$	−29.5086	−	5.20315i	−1.10279	−	0.194451i
$717$	−4.78967	+	10.6639i	−0.178874	+	0.398252i
$718$	−7.96213	+	6.68102i	−0.297144	+	0.249334i
$719$	13.3361	+	23.0988i	0.497353	+	0.861441i	0.999995	−	0.00305366i	$-0.000972012\pi$
$719$	13.3361	+	23.0988i	0.497353	+	0.861441i	−0.502642	+	0.864495i	$0.667639\pi$
$720$	25.6543	+	13.8563i	0.956078	+	0.516393i
$721$	−25.8734	−	14.8246i	−0.963575	−	0.552098i
$722$	−2.35163	−	2.80257i	−0.0875187	−	0.104301i
$723$	−4.37820	+	2.11772i	−0.162827	+	0.0787588i
$724$	8.51707	+	23.4005i	0.316534	+	0.869671i
$725$	−25.6795	−	4.52798i	−0.953711	−	0.168165i
$726$	−0.235138	+	0.241906i	−0.00872677	+	0.00897798i
$727$	−11.6117	+	31.9029i	−0.430654	+	1.18321i	0.514758	+	0.857336i	$0.327882\pi$
$727$	−11.6117	+	31.9029i	−0.430654	+	1.18321i	−0.945412	+	0.325878i	$0.894340\pi$
$728$	−5.59251	+	9.76059i	−0.207272	+	0.361752i
$729$	−2.29564	−	26.9022i	−0.0850239	−	0.996379i
$730$	−2.69270	+	4.66390i	−0.0996614	+	0.172619i
$731$	−7.36001	−	41.7407i	−0.272220	−	1.54384i
$732$	−8.81919	−	31.1396i	−0.325967	−	1.15095i
$733$	5.22487	+	14.3552i	0.192985	+	0.530222i	0.998013	−	0.0630153i	$-0.0200717\pi$
$733$	5.22487	+	14.3552i	0.192985	+	0.530222i	−0.805027	+	0.593238i	$0.797849\pi$
$734$	−0.235454	+	1.33532i	−0.00869076	+	0.0492877i
$735$	34.5747	+	2.30238i	1.27531	+	0.0849245i
$736$	3.75977	−	3.15482i	0.138587	−	0.116288i
$737$			32.6826i			1.20388i
$738$	−5.05287	+	0.143416i	−0.185999	+	0.00527923i
$739$	−31.0643			−1.14272			−0.571359	−	0.820701i	$-0.693583\pi$
$739$	−31.0643			−1.14272			−0.571359	+	0.820701i	$0.693583\pi$
$740$	−8.99781	−	3.27494i	−0.330766	−	0.120389i
$741$	−26.5307	+	19.1436i	−0.974629	+	0.703259i
$742$	0.217385	−	1.25704i	0.00798044	−	0.0461474i
$743$	−10.8218	−	29.7328i	−0.397015	−	1.09079i	−0.963731	−	0.266876i	$-0.914008\pi$
$743$	−10.8218	−	29.7328i	−0.397015	−	1.09079i	0.566716	−	0.823913i	$-0.308214\pi$
$744$	3.86270	−	2.78719i	0.141614	−	0.102183i
$745$	−2.74025	−	3.26571i	−0.100395	−	0.119646i
$746$		−	7.76844i		−	0.284423i
$747$	−21.0318	+	4.32707i	−0.769512	+	0.158319i
$748$	−26.1239	+	15.0826i	−0.955183	+	0.551475i
$749$	−6.00399	+	16.6664i	−0.219381	+	0.608976i
$750$	−2.60220	+	1.25868i	−0.0950189	+	0.0459603i
$751$	−16.1329	−	13.5371i	−0.588698	−	0.493976i	0.299093	−	0.954224i	$-0.403316\pi$
$751$	−16.1329	−	13.5371i	−0.588698	−	0.493976i	−0.887790	+	0.460248i	$0.847760\pi$
$752$	1.80968	−	10.2632i	0.0659921	−	0.374260i
$753$	−28.3631	−	27.5695i	−1.03361	−	1.00469i
$754$	−5.77019	−	6.87664i	−0.210138	−	0.250433i
$755$	13.8828			0.505247
$756$	17.5891	−	19.2810i	0.639709	−	0.701243i
$757$	−13.1053			−0.476322			−0.238161	−	0.971226i	$-0.576545\pi$
$757$	−13.1053			−0.476322			−0.238161	+	0.971226i	$0.576545\pi$
$758$	−3.65782	−	4.35922i	−0.132858	−	0.158334i
$759$	1.98901	−	7.86793i	0.0721964	−	0.285588i
$760$	3.40467	−	19.3088i	0.123500	−	0.700405i
$761$	−7.76470	−	6.51536i	−0.281470	−	0.236182i	0.491112	−	0.871097i	$-0.336591\pi$
$761$	−7.76470	−	6.51536i	−0.281470	−	0.236182i	−0.772582	+	0.634915i	$0.781035\pi$
$762$	−0.684248	+	9.34649i	−0.0247877	+	0.338588i
$763$	33.5710	−	28.3583i	1.21535	−	1.02664i
$764$	−29.2197	+	16.8700i	−1.05713	+	0.610335i
$765$	−39.5561	−	5.82294i	−1.43015	−	0.210529i
$766$			8.72505i			0.315249i
$767$	−15.0958	−	17.9904i	−0.545077	−	0.649597i
$768$	13.3920	+	6.01499i	0.483243	+	0.217047i
$769$	7.15123	+	19.6478i	0.257880	+	0.708519i	0.999298	+	0.0374752i	$0.0119315\pi$
$769$	7.15123	+	19.6478i	0.257880	+	0.708519i	−0.741418	+	0.671044i	$0.765846\pi$
$770$	−6.30909	−	5.25865i	−0.227364	−	0.189509i
$771$	−2.19617	−	21.5726i	−0.0790931	−	0.776917i
$772$	24.3039	+	8.84590i	0.874717	+	0.318371i
$773$	21.1888			0.762108			0.381054	−	0.924553i	$-0.375561\pi$
$773$	21.1888			0.762108			0.381054	+	0.924553i	$0.375561\pi$
$774$	1.26587	−	8.59923i	0.0455007	−	0.309093i
$775$			7.01116i			0.251848i
$776$	2.39271	−	2.00772i	0.0858932	−	0.0720730i
$777$	−4.52229	+	6.70497i	−0.162236	+	0.240539i
$778$	−0.902204	+	5.11665i	−0.0323456	+	0.183441i
$779$	−9.98062	−	27.4215i	−0.357593	−	0.982478i
$780$	−31.1725	−	7.88039i	−1.11615	−	0.282163i
$781$	6.59139	+	37.3816i	0.235858	+	1.33762i
$782$	−1.02199	+	1.77013i	−0.0365462	+	0.0632998i
$783$	19.7073	+	37.9565i	0.704282	+	1.35645i
$784$	23.8041	−	0.156764i	0.850145	−	0.00559873i
$785$	−22.0192	+	60.4974i	−0.785900	+	2.15924i
$786$	−8.56202	−	2.16447i	−0.305397	−	0.0772042i
$787$	−21.4804	−	3.78757i	−0.765693	−	0.135012i	−0.222857	−	0.974851i	$-0.571538\pi$
$787$	−21.4804	−	3.78757i	−0.765693	−	0.135012i	−0.542836	+	0.839839i	$0.682650\pi$
$788$	−5.98751	−	16.4505i	−0.213296	−	0.586027i
$789$	1.60862	−	21.9730i	0.0572684	−	0.782258i
$790$	−6.69381	−	7.97737i	−0.238155	−	0.283822i
$791$	0.0922183	+	28.0063i	0.00327891	+	0.995789i
$792$	−12.4426	+	2.55994i	−0.442128	+	0.0909634i
$793$	16.8387	+	29.1655i	0.597960	+	1.03570i
$794$	−1.11264	+	0.933613i	−0.0394860	+	0.0331327i
$795$	7.44920	−	0.758356i	0.264196	−	0.0268961i
$796$	0.501380	+	0.0884069i	0.0177710	+	0.00313350i
$797$	14.4170	−	5.24735i	0.510676	−	0.185871i	−0.0738137	−	0.997272i	$-0.523517\pi$
$797$	14.4170	−	5.24735i	0.510676	−	0.185871i	0.584490	+	0.811401i	$0.301295\pi$
$798$	−7.36722	−	3.27985i	−0.260797	−	0.116106i
$799$	2.48156	+	14.0736i	0.0877913	+	0.497889i
$800$	9.79314	−	5.65407i	0.346240	−	0.199902i
$801$	31.3142	−	19.2841i	1.10643	−	0.681369i
$802$	−6.00818	+	10.4065i	−0.212156	+	0.367466i
$803$	3.49777	+	19.8368i	0.123434	+	0.700026i
$804$	−17.7208	+	26.0881i	−0.624966	+	0.920055i
$805$	10.2454	+	1.77177i	0.361102	+	0.0624467i
$806$	−1.55148	+	1.84898i	−0.0546485	+	0.0651275i
$807$	24.3288	+	23.6480i	0.856413	+	0.832450i
$808$	11.3996	−	2.01006i	0.401038	−	0.0707137i
$809$	−11.6471	+	6.72444i	−0.409489	+	0.236419i	−0.690570	−	0.723265i	$-0.742640\pi$
$809$	−11.6471	+	6.72444i	−0.409489	+	0.236419i	0.281081	+	0.959684i	$0.409307\pi$
$810$	−7.32188	−	3.69028i	−0.257265	−	0.129663i
$811$			3.07886i			0.108113i	0.998538	+	0.0540566i	$0.0172152\pi$
$811$			3.07886i			0.108113i	−0.998538	+	0.0540566i	$0.982785\pi$
$812$	−14.0110	+	38.8930i	−0.491691	+	1.36488i
$813$	31.3312	+	7.92051i	1.09883	+	0.277784i
$814$	1.80135	−	0.655637i	0.0631373	−	0.0229801i
$815$	25.8522	−	9.40944i	0.905564	−	0.329598i
$816$	−27.3936	−	2.00546i	−0.958968	−	0.0702051i
$817$	49.4151	−	8.71321i	1.72881	−	0.304837i
$818$	−0.159623	−	0.276474i	−0.00558107	−	0.00966670i
$819$	−12.8272	+	23.9371i	−0.448218	+	0.836430i
$820$	14.3395	−	24.8368i	0.500759	−	0.867340i
$821$	−1.54402	+	4.24217i	−0.0538868	+	0.148053i	−0.963716	−	0.266931i	$-0.913990\pi$
$821$	−1.54402	+	4.24217i	−0.0538868	+	0.148053i	0.909829	+	0.414984i	$0.136213\pi$
$822$	6.56330	+	2.94789i	0.228921	+	0.102819i
$823$	23.4546	+	19.6807i	0.817575	+	0.686027i	0.952403	−	0.304842i	$-0.0986036\pi$
$823$	23.4546	+	19.6807i	0.817575	+	0.686027i	−0.134828	+	0.990869i	$0.543048\pi$
$824$	−2.43208	+	13.7930i	−0.0847256	+	0.480503i
$825$	7.66093	−	17.0566i	0.266719	−	0.593835i
$826$	1.96198	−	5.44622i	0.0682660	−	0.189498i
$827$	12.8966	+	7.44587i	0.448459	+	0.258918i	0.707179	−	0.707034i	$-0.249967\pi$
$827$	12.8966	+	7.44587i	0.448459	+	0.258918i	−0.258720	+	0.965952i	$0.583301\pi$
$828$	5.85374	−	5.20191i	0.203432	−	0.180779i
$829$	21.8853	+	12.6355i	0.760107	+	0.438848i	0.829334	−	0.558753i	$-0.188720\pi$
$829$	21.8853	+	12.6355i	0.760107	+	0.438848i	−0.0692275	+	0.997601i	$0.522053\pi$
$830$	−2.23019	+	6.12739i	−0.0774109	+	0.212685i
$831$	4.61257	+	0.337682i	0.160008	+	0.0117141i
$832$	−19.0834	−	3.36491i	−0.661597	−	0.116657i
$833$	−30.5998	+	11.3662i	−1.06022	+	0.393815i
$834$	2.17595	−	0.616260i	0.0753469	−	0.0213394i
$835$	22.0721	−	18.5207i	0.763836	−	0.640934i
$836$	−17.8557	−	30.9270i	−0.617552	−	1.06963i
$837$	9.13048	−	6.99056i	0.315596	−	0.241629i
$838$	−0.648204	−	0.374241i	−0.0223918	−	0.0129279i
$839$	−16.6975	−	6.07738i	−0.576460	−	0.209814i	0.0373037	−	0.999304i	$-0.488123\pi$
$839$	−16.6975	−	6.07738i	−0.576460	−	0.209814i	−0.613764	+	0.789490i	$0.710345\pi$
$840$	−4.48649	−	15.6446i	−0.154799	−	0.539792i
$841$	−29.6792	−	24.9038i	−1.02342	−	0.858751i
$842$	−1.34572	+	1.60376i	−0.0463764	+	0.0552692i
$843$	27.0623	−	13.0900i	0.932077	−	0.450842i
$844$	23.3368	+	8.49391i	0.803287	+	0.292373i
$845$	−3.69626			−0.127155
$846$	−0.426810	+	2.89939i	−0.0146740	+	0.0996829i
$847$	−1.61659	+	0.00532307i	−0.0555468	+	0.000182903i
$848$	5.06571	−	0.893222i	0.173957	−	0.0306734i
$849$	0.775679	−	1.72700i	0.0266212	−	0.0592706i
$850$	−3.02710	+	3.60756i	−0.103829	+	0.123738i
$851$	−1.55987	+	1.85898i	−0.0534717	+	0.0637251i
$852$	−15.0073	+	33.4128i	−0.514141	+	1.14470i
$853$	13.7587	−	2.42603i	0.471089	−	0.0830656i	0.0669361	−	0.997757i	$-0.478678\pi$
$853$	13.7587	−	2.42603i	0.471089	−	0.0830656i	0.404152	+	0.914692i	$0.367567\pi$
$854$	−4.12692	+	7.20270i	−0.141220	+	0.246471i
$855$	6.89353	−	46.8288i	0.235754	−	1.60151i
$856$	8.32042			0.284386
$857$	20.0805	+	7.30871i	0.685937	+	0.249661i	0.661395	−	0.750038i	$-0.269965\pi$
$857$	20.0805	+	7.30871i	0.685937	+	0.249661i	0.0245424	+	0.999699i	$0.492187\pi$
$858$	5.79474	−	2.80290i	0.197829	−	0.0956893i
$859$	7.97036	−	9.49870i	0.271945	−	0.324092i	−0.612737	−	0.790287i	$-0.709931\pi$
$859$	7.97036	−	9.49870i	0.271945	−	0.324092i	0.884682	+	0.466196i	$0.154376\pi$
$860$	37.7765	+	31.6982i	1.28817	+	1.08090i
$861$	−17.4251	−	16.8263i	−0.593845	−	0.573438i
$862$	4.61598	+	1.68008i	0.157221	+	0.0572237i
$863$	9.03144	+	5.21430i	0.307434	+	0.177497i	0.645778	−	0.763526i	$-0.276533\pi$
$863$	9.03144	+	5.21430i	0.307434	+	0.177497i	−0.338344	+	0.941023i	$0.609867\pi$
$864$	−17.1275	−	7.11593i	−0.582690	−	0.242089i
$865$	17.6635	+	30.5941i	0.600577	+	1.04023i
$866$	2.41060	−	2.02274i	0.0819156	−	0.0687354i
$867$	7.90870	−	2.23986i	0.268594	−	0.0760696i
$868$	10.9528	+	1.89411i	0.371762	+	0.0642901i
$869$	−38.3583	−	6.76360i	−1.30122	−	0.229440i
$870$	12.9529	+	0.948268i	0.439144	+	0.0321493i
$871$	11.2241	−	30.8379i	0.380313	−	1.04490i
$872$	−17.8753	−	10.3203i	−0.605333	−	0.349489i
$873$	5.63652	−	5.00887i	0.190767	−	0.169525i
$874$	−2.09559	−	1.20989i	−0.0708843	−	0.0409250i
$875$	−13.0320	−	4.69473i	−0.440563	−	0.158711i
$876$	−7.96372	+	17.7308i	−0.269069	+	0.599067i
$877$	7.13778	−	40.4804i	0.241026	−	1.36693i	−0.588518	−	0.808484i	$-0.700289\pi$
$877$	7.13778	−	40.4804i	0.241026	−	1.36693i	0.829544	−	0.558441i	$-0.188600\pi$
$878$	−8.62121	−	7.23405i	−0.290952	−	0.244137i
$879$	−33.2711	−	14.9436i	−1.12221	−	0.504036i
$880$	11.3269	−	31.1203i	0.381829	−	1.04907i
$881$	14.4200	−	24.9761i	0.485821	−	0.841467i	−0.514046	−	0.857762i	$-0.671854\pi$
$881$	14.4200	−	24.9761i	0.485821	−	0.841467i	0.999867	+	0.0162958i	$0.00518736\pi$
$882$	−6.68999	+	0.233985i	−0.225264	+	0.00787867i
$883$	24.3484	+	42.1726i	0.819388	+	1.41922i	0.906134	+	0.422991i	$0.139020\pi$
$883$	24.3484	+	42.1726i	0.819388	+	1.41922i	−0.0867455	+	0.996231i	$0.527647\pi$
$884$	29.8291	−	5.25967i	1.00326	−	0.176902i
$885$	33.8869	+	2.48083i	1.13910	+	0.0833921i
$886$	1.33306	−	0.485193i	0.0447849	−	0.0163004i
$887$	−7.47224	+	2.71967i	−0.250893	+	0.0913177i	−0.464405	−	0.885623i	$-0.653732\pi$
$887$	−7.47224	+	2.71967i	−0.250893	+	0.0913177i	0.213512	+	0.976940i	$0.431510\pi$
$888$	3.68274	+	0.930994i	0.123585	+	0.0312421i
$889$	−34.3064	+	28.9796i	−1.15060	+	0.971943i
$890$		−	11.1679i		−	0.374350i
$891$	−29.8509	+	7.02982i	−1.00004	+	0.235508i
$892$	−24.3102	+	14.0355i	−0.813967	+	0.469944i
$893$	−16.6612	+	2.93782i	−0.557545	+	0.0983103i
$894$	0.590547	+	0.574024i	0.0197509	+	0.0191982i
$895$	−28.9961	+	34.5562i	−0.969233	+	1.15509i
$896$	−8.16665	−	22.2099i	−0.272829	−	0.741980i
$897$	−4.57880	+	6.74076i	−0.152882	+	0.225067i
$898$	0.317163	+	1.79872i	0.0105839	+	0.0600241i
$899$	−9.10736	+	15.7744i	−0.303748	+	0.526106i
$900$	15.3634	−	9.46116i	0.512113	−	0.315372i
$901$	−6.10863	+	3.52682i	−0.203508	+	0.117495i
$902$	0.997004	+	5.65429i	0.0331966	+	0.188267i
$903$	33.6962	−	24.4831i	1.12134	−	0.814746i
$904$	12.3609	−	4.49902i	0.411119	−	0.149635i
$905$	36.9204	+	6.51005i	1.22727	+	0.216402i
$906$	−2.66815	+	0.271628i	−0.0886433	+	0.00902422i
$907$	33.1849	−	27.8455i	1.10189	−	0.924593i	0.104337	−	0.994542i	$-0.466728\pi$
$907$	33.1849	−	27.8455i	1.10189	−	0.924593i	0.997551	+	0.0699485i	$0.0222835\pi$
$908$	8.70416	+	15.0761i	0.288858	+	0.500316i
$909$	27.3717	−	5.63144i	0.907861	−	0.186783i
$910$	4.14702	+	7.12854i	0.137472	+	0.236309i
$911$	−32.8056	−	39.0962i	−1.08690	−	1.29531i	−0.952551	−	0.304379i	$-0.901551\pi$
$911$	−32.8056	−	39.0962i	−1.08690	−	1.29531i	−0.134346	−	0.990934i	$-0.542893\pi$
$912$	2.37418	−	32.4301i	0.0786170	−	1.07387i
$913$	8.34149	+	22.9181i	0.276063	+	0.758477i
$914$	12.8292	+	2.26213i	0.424352	+	0.0748247i
$915$	−47.2379	−	11.9417i	−1.56164	−	0.394781i
$916$	8.30690	−	22.8230i	0.274468	−	0.754094i
$917$	−21.2805	−	36.5802i	−0.702745	−	1.20799i
$918$	7.71625	+	0.345170i	0.254674	+	0.0113923i
$919$	19.5951	−	33.9398i	0.646384	−	1.11957i	−0.337596	−	0.941291i	$-0.609614\pi$
$919$	19.5951	−	33.9398i	0.646384	−	1.11957i	0.983980	−	0.178279i	$-0.0570529\pi$
$920$	−0.848017	−	4.80935i	−0.0279583	−	0.158559i
$921$	38.3082	+	9.68428i	1.26230	+	0.319108i
$922$	2.95873	+	8.12904i	0.0974406	+	0.267716i
$923$	6.61849	−	37.5353i	0.217850	−	1.23549i
$924$	−24.5760	−	16.5758i	−0.808493	−	0.545303i
$925$	−4.28312	+	3.59396i	−0.140828	+	0.118169i
$926$		−	4.06400i		−	0.133551i
$927$	−4.92431	+	33.4516i	−0.161736	+	1.09869i
$928$	29.3781			0.964384
$929$	−28.7454	−	10.4625i	−0.943107	−	0.343263i	−0.175715	−	0.984441i	$-0.556224\pi$
$929$	−28.7454	−	10.4625i	−0.943107	−	0.343263i	−0.767392	+	0.641178i	$0.778446\pi$
$930$	−0.353677	−	3.47411i	−0.0115975	−	0.113921i
$931$	−13.4560	−	36.2259i	−0.441001	−	1.18725i
$932$	11.0813	+	30.4455i	0.362979	+	0.997275i
$933$	35.5693	+	15.9758i	1.16449	+	0.523026i
$934$	4.61930	+	5.50507i	0.151148	+	0.180131i
$935$			45.4133i			1.48517i
$936$	12.6194	+	1.85767i	0.412479	+	0.0607199i
$937$	4.39414	−	2.53696i	0.143550	−	0.0828787i	−0.426505	−	0.904485i	$-0.640255\pi$
$937$	4.39414	−	2.53696i	0.143550	−	0.0828787i	0.570055	+	0.821607i	$0.306922\pi$
$938$	7.96158	−	1.43089i	0.259955	−	0.0467202i
$939$	0.178533	−	2.43868i	0.00582621	−	0.0795832i
$940$	−12.7370	−	10.6876i	−0.415436	−	0.348592i
$941$	−2.52700	+	14.3313i	−0.0823778	+	0.467188i	0.915514	+	0.402286i	$0.131784\pi$
$941$	−2.52700	+	14.3313i	−0.0823778	+	0.467188i	−0.997892	+	0.0649013i	$0.979327\pi$
$942$	3.04822	−	12.0579i	0.0993163	−	0.392866i
$943$	−4.67201	−	5.56788i	−0.152142	−	0.181315i
$944$	23.3417			0.759709
$945$	−11.8983	−	37.4460i	−0.387051	−	1.21812i
$946$	−9.87254			−0.320984
$947$	−35.0139	−	41.7280i	−1.13780	−	1.35598i	−0.925489	−	0.378774i	$-0.876346\pi$
$947$	−35.0139	−	41.7280i	−1.13780	−	1.35598i	−0.212310	−	0.977202i	$-0.568099\pi$
$948$	−26.9512	−	26.1971i	−0.875335	−	0.850843i
$949$	3.51215	−	19.9184i	0.114009	−	0.646578i
$950$	−4.27084	−	3.58366i	−0.138564	−	0.116269i
$951$	10.6880	−	5.16977i	0.346583	−	0.167641i
$952$	9.89370	+	11.7123i	0.320657	+	0.379598i
$953$	19.6055	−	11.3192i	0.635084	−	0.366666i	−0.147634	−	0.989042i	$-0.547166\pi$
$953$	19.6055	−	11.3192i	0.635084	−	0.366666i	0.782718	+	0.622376i	$0.213833\pi$
$954$	−1.41683	+	0.291498i	−0.0458715	+	0.00943760i
$955$			50.7950i			1.64369i
$956$	8.23594	+	9.81521i	0.266369	+	0.317447i
$957$	39.3925	−	28.4243i	1.27338	−	0.918826i
$958$	−3.55736	−	9.77376i	−0.114933	−	0.315776i
$959$	11.8988	+	32.3598i	0.384232	+	1.04495i
$960$	22.7349	−	16.4047i	0.733765	−	0.529459i
$961$	−24.5283	−	8.92757i	−0.791235	−	0.287986i
$962$	−1.92484			−0.0620592
$963$	20.0787	−	0.569896i	0.647025	−	0.0183646i
$964$			5.33053i			0.171685i
$965$	29.8277	−	25.0284i	0.960189	−	0.805694i
$966$	−2.00373	−	0.140060i	−0.0644690	−	0.00450635i
$967$	5.14316	−	29.1683i	0.165393	−	0.937990i	−0.783265	−	0.621687i	$-0.786447\pi$
$967$	5.14316	−	29.1683i	0.165393	−	0.937990i	0.948658	−	0.316303i	$-0.102441\pi$
$968$	0.259695	+	0.713505i	0.00834690	+	0.0229329i
$969$	12.1505	+	42.9022i	0.390331	+	1.37822i
$970$	−0.397633	−	2.25509i	−0.0127672	−	0.0724065i
$971$	−7.12855	+	12.3470i	−0.228766	+	0.396234i	−0.957443	−	0.288623i	$-0.906802\pi$
$971$	−7.12855	+	12.3470i	−0.228766	+	0.396234i	0.728677	+	0.684858i	$0.240136\pi$
$972$	−27.6393	−	10.5741i	−0.886531	−	0.339163i
$973$	9.40313	+	5.38769i	0.301450	+	0.172722i
$974$	−0.744603	+	2.04578i	−0.0238586	+	0.0655510i
$975$	−13.0862	+	13.4629i	−0.419094	+	0.431158i
$976$	−32.9637	−	5.81238i	−1.05514	−	0.186050i
$977$	6.86194	+	18.8530i	0.219533	+	0.603162i	0.999750	−	0.0223468i	$-0.00711380\pi$
$977$	6.86194	+	18.8530i	0.219533	+	0.603162i	−0.780217	+	0.625508i	$0.784892\pi$
$978$	−4.78446	+	2.31423i	−0.152990	+	0.0740008i
$979$	−26.8499	−	31.9985i	−0.858126	−	1.02268i
$980$	18.7725	−	33.0152i	0.599666	−	1.05463i
$981$	−43.8431	−	23.6804i	−1.39980	−	0.756056i
$982$	−0.475528	−	0.823639i	−0.0151747	−	0.0262834i
$983$	−12.8242	+	10.7608i	−0.409029	+	0.343216i	−0.823971	−	0.566632i	$-0.808246\pi$
$983$	−12.8242	+	10.7608i	−0.409029	+	0.343216i	0.414942	+	0.909848i	$0.363802\pi$
$984$	−4.66146	+	10.3785i	−0.148602	+	0.330853i
$985$	−25.9551	−	4.57658i	−0.826997	−	0.145822i
$986$	−11.4968	+	4.18450i	−0.366133	+	0.133262i
$987$	−11.3613	+	8.25492i	−0.361633	+	0.262757i
$988$	6.22671	+	35.3134i	0.198098	+	1.12347i
$989$	10.8235	−	6.24897i	0.344168	−	0.198706i
$990$	−2.93566	+	8.83820i	−0.0933013	+	0.280896i
$991$	−11.0601	+	19.1566i	−0.351335	+	0.608531i	−0.986484	−	0.163859i	$-0.947606\pi$
$991$	−11.0601	+	19.1566i	−0.351335	+	0.608531i	0.635148	+	0.772390i	$0.280939\pi$
$992$	−1.37167	−	7.77913i	−0.0435506	−	0.246988i
$993$	2.24457	+	4.64046i	0.0712294	+	0.147261i
$994$	8.81770	−	3.24230i	0.279680	−	0.102840i
$995$	0.492673	−	0.587145i	0.0156188	−	0.0186138i
$996$	−5.76802	+	22.8166i	−0.182767	+	0.722971i
$997$	−43.9525	+	7.75001i	−1.39199	+	0.245445i	−0.818847	−	0.574011i	$-0.805387\pi$
$997$	−43.9525	+	7.75001i	−1.39199	+	0.245445i	−0.573141	+	0.819457i	$0.694275\pi$
$998$	8.44683	−	4.87678i	0.267380	−	0.154372i
$999$	8.95087	+	1.99441i	0.283193	+	0.0631003i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	189.2.ba.a.131.13	yes	132
3.2	odd	2		567.2.ba.a.341.10		132
7.3	odd	6		189.2.bd.a.185.10	yes	132
21.17	even	6		567.2.bd.a.17.13		132
27.7	even	9		567.2.bd.a.467.13		132
27.20	odd	18		189.2.bd.a.47.10	yes	132
189.101	even	18	inner	189.2.ba.a.101.13	✓	132
189.115	odd	18		567.2.ba.a.143.10		132

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
189.2.ba.a.101.13	✓	132	189.101	even	18	inner
189.2.ba.a.131.13	yes	132	1.1	even	1	trivial
189.2.bd.a.47.10	yes	132	27.20	odd	18
189.2.bd.a.185.10	yes	132	7.3	odd	6
567.2.ba.a.143.10		132	189.115	odd	18
567.2.ba.a.341.10		132	3.2	odd	2
567.2.bd.a.17.13		132	21.17	even	6
567.2.bd.a.467.13		132	27.7	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 $\F_{q}$
Belyi maps

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

\(f(q)\)	\(=\)	\(q+(0.204899 + 0.244189i) q^{2} +(1.66650 - 0.471978i) q^{3} +(0.329652 - 1.86955i) q^{4} +(-2.18935 - 1.83708i) q^{5} +(0.456717 + 0.310234i) q^{6} +(0.468007 + 2.60403i) q^{7} +(1.07619 - 0.621337i) q^{8} +(2.55447 - 1.57311i) q^{9} -0.911030i q^{10} +(-2.19030 - 2.61029i) q^{11} +(-0.333020 - 3.27120i) q^{12} +(1.17022 + 3.21516i) q^{13} +(-0.539981 + 0.647845i) q^{14} +(-4.51562 - 2.02818i) q^{15} +(-3.19557 - 1.16309i) q^{16} +4.66323 q^{17} +(0.907544 + 0.301446i) q^{18} +5.52060i q^{19} +(-4.15623 + 3.48749i) q^{20} +(2.00898 + 4.11874i) q^{21} +(0.188615 - 1.06969i) q^{22} +(0.470293 + 1.29212i) q^{23} +(1.50021 - 1.54340i) q^{24} +(0.550137 + 3.11998i) q^{25} +(-0.545329 + 0.944538i) q^{26} +(3.51457 - 3.82725i) q^{27} +(5.02264 - 0.0165384i) q^{28} +(-2.81504 + 7.73427i) q^{29} +(-0.429987 - 1.51824i) q^{30} +(2.17942 + 0.384290i) q^{31} +(-1.22079 - 3.35410i) q^{32} +(-4.88214 - 3.31629i) q^{33} +(0.955489 + 1.13871i) q^{34} +(3.75918 - 6.56089i) q^{35} +(-2.09891 - 5.29429i) q^{36} +(0.882419 + 1.52840i) q^{37} +(-1.34807 + 1.13116i) q^{38} +(3.46767 + 4.80576i) q^{39} +(-3.49759 - 0.616720i) q^{40} +(-4.96713 + 1.80789i) q^{41} +(-0.594112 + 1.33450i) q^{42} +(-1.57831 - 8.95103i) q^{43} +(-5.60210 + 3.23437i) q^{44} +(-8.48256 - 1.24869i) q^{45} +(-0.219159 + 0.379594i) q^{46} +(0.532155 + 3.01800i) q^{47} +(-5.87439 - 0.430058i) q^{48} +(-6.56194 + 2.43741i) q^{49} +(-0.649143 + 0.773618i) q^{50} +(7.77129 - 2.20094i) q^{51} +(6.39667 - 1.12790i) q^{52} +(-1.30996 + 0.756305i) q^{53} +(1.65470 + 0.0740197i) q^{54} +9.73859i q^{55} +(2.12164 + 2.51163i) q^{56} +(2.60560 + 9.20011i) q^{57} +(-2.46542 + 0.897340i) q^{58} +(-6.44995 + 2.34759i) q^{59} +(-5.28036 + 7.77358i) q^{60} +(9.69333 - 1.70919i) q^{61} +(0.352721 + 0.610930i) q^{62} +(5.29193 + 5.91570i) q^{63} +(-2.83176 + 4.90475i) q^{64} +(3.34449 - 9.18891i) q^{65} +(-0.190543 - 1.87167i) q^{66} +(-7.34743 - 6.16523i) q^{67} +(1.53724 - 8.71812i) q^{68} +(1.39360 + 1.93135i) q^{69} +(2.37235 - 0.426368i) q^{70} +(-9.64722 - 5.56983i) q^{71} +(1.77166 - 3.28015i) q^{72} +(-5.11937 - 2.95567i) q^{73} +(-0.192410 + 0.528643i) q^{74} +(2.38937 + 4.93981i) q^{75} +(10.3210 + 1.81988i) q^{76} +(5.77220 - 6.92523i) q^{77} +(-0.462992 + 1.83146i) q^{78} +(8.75642 - 7.34751i) q^{79} +(4.85952 + 8.41694i) q^{80} +(4.05066 - 8.03692i) q^{81} +(-1.45922 - 0.842484i) q^{82} +(-6.72578 - 2.44798i) q^{83} +(8.36244 - 2.39814i) q^{84} +(-10.2094 - 8.56673i) q^{85} +(1.86235 - 2.21946i) q^{86} +(-1.04087 + 14.2178i) q^{87} +(-3.97904 - 1.44825i) q^{88} +12.2586 q^{89} +(-1.43315 - 2.32720i) q^{90} +(-7.82471 + 4.55201i) q^{91} +(2.57071 - 0.453286i) q^{92} +(3.81339 - 0.388217i) q^{93} +(-0.627925 + 0.748331i) q^{94} +(10.1418 - 12.0865i) q^{95} +(-3.61752 - 5.01344i) q^{96} +(2.47531 - 0.436465i) q^{97} +(-1.93972 - 1.10293i) q^{98} +(-9.70132 - 3.22235i) 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

Modular forms

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