LMFDB - Embedded newform 270.2.r.a.173.7

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [270,2,Mod(23,270)] 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("270.23"); S:= CuspForms(chi, 2); N := Newforms(S);

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(270, base_ring=CyclotomicField(36)) chi = DirichletCharacter(H, H._module([22, 27])) N = Newforms(chi, 2, names="a")

Level:	$ N $	$=$	$ 270 = 2 \cdot 3^{3} \cdot 5 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	270.r (of order $36$, degree $12$, 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:	$2.15596085457$
Analytic rank:	$0$
Dimension:	$216$
Relative dimension:	$18$ over $\Q(\zeta_{36})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{36}]$

Embedding invariants

Embedding label			173.7
Character	$\chi$	$=$	270.173
Dual form			270.2.r.a.167.7

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-0.0871557 - 0.996195i) q^{2} +(1.03011 + 1.39244i) q^{3} +(-0.984808 + 0.173648i) q^{4} +(-1.59133 + 1.57088i) q^{5} +(1.29736 - 1.14755i) q^{6} +(0.514631 + 0.734969i) q^{7} +(0.258819 + 0.965926i) q^{8} +(-0.877763 + 2.86872i) q^{9} +(1.70359 + 1.44837i) q^{10} +(0.457015 + 1.25564i) q^{11} +(-1.25625 - 1.19241i) q^{12} +(1.07783 + 0.0942983i) q^{13} +(0.687319 - 0.576729i) q^{14} +(-3.82659 - 0.597662i) q^{15} +(0.939693 - 0.342020i) q^{16} +(-0.965374 + 3.60283i) q^{17} +(2.93430 + 0.624397i) q^{18} +(4.47083 + 2.58124i) q^{19} +(1.29438 - 1.82334i) q^{20} +(-0.493274 + 1.47369i) q^{21} +(1.21103 - 0.564712i) q^{22} +(-0.268064 - 0.187700i) q^{23} +(-1.07838 + 1.35540i) q^{24} +(0.0646872 - 4.99958i) q^{25} -1.08195i q^{26} +(-4.89870 + 1.73285i) q^{27} +(-0.634439 - 0.634439i) q^{28} +(-3.73628 - 3.13512i) q^{29} +(-0.261878 + 3.86412i) q^{30} +(-1.54601 - 8.76783i) q^{31} +(-0.422618 - 0.906308i) q^{32} +(-1.27762 + 1.92980i) q^{33} +(3.67325 + 0.647694i) q^{34} +(-1.97350 - 0.361159i) q^{35} +(0.366280 - 2.97756i) q^{36} +(10.2362 + 2.74278i) q^{37} +(2.18175 - 4.67879i) q^{38} +(0.978980 + 1.59795i) q^{39} +(-1.92922 - 1.13054i) q^{40} +(0.945418 + 1.12671i) q^{41} +(1.51107 + 0.362957i) q^{42} +(1.02030 + 0.475774i) q^{43} +(-0.668111 - 1.15720i) q^{44} +(-3.10959 - 5.94394i) q^{45} +(-0.163623 + 0.283403i) q^{46} +(6.61269 - 4.63025i) q^{47} +(1.44422 + 0.956146i) q^{48} +(2.11881 - 5.82137i) q^{49} +(-4.98619 + 0.371301i) q^{50} +(-6.01115 + 2.36707i) q^{51} +(-1.07783 + 0.0942983i) q^{52} +(2.08364 - 2.08364i) q^{53} +(2.15321 + 4.72903i) q^{54} +(-2.69972 - 1.28022i) q^{55} +(-0.576729 + 0.687319i) q^{56} +(1.01122 + 8.88430i) q^{57} +(-2.79755 + 3.99531i) q^{58} +(-11.7104 - 4.26225i) q^{59} +(3.87224 - 0.0758985i) q^{60} +(1.05434 - 5.97947i) q^{61} +(-8.59972 + 2.30429i) q^{62} +(-2.56014 + 0.831202i) q^{63} +(-0.866025 + 0.500000i) q^{64} +(-1.86333 + 1.54309i) q^{65} +(2.03381 + 1.10457i) q^{66} +(-0.832678 + 9.51755i) q^{67} +(0.325084 - 3.71573i) q^{68} +(-0.0147733 - 0.566613i) q^{69} +(-0.187783 + 1.99746i) q^{70} +(-2.95943 + 1.70863i) q^{71} +(-2.99815 - 0.105375i) q^{72} +(4.30684 - 1.15401i) q^{73} +(1.84020 - 10.4363i) q^{74} +(7.02824 - 5.06003i) q^{75} +(-4.85114 - 1.76567i) q^{76} +(-0.687661 + 0.982082i) q^{77} +(1.50655 - 1.11453i) q^{78} +(-10.7626 + 12.8264i) q^{79} +(-0.958093 + 2.02041i) q^{80} +(-7.45907 - 5.03610i) q^{81} +(1.04002 - 1.04002i) q^{82} +(3.40793 - 0.298155i) q^{83} +(0.229877 - 1.53696i) q^{84} +(-4.12337 - 7.24978i) q^{85} +(0.385038 - 1.05788i) q^{86} +(0.516681 - 8.43204i) q^{87} +(-1.09457 + 0.766425i) q^{88} +(4.47579 - 7.75230i) q^{89} +(-5.65031 + 3.61580i) q^{90} +(0.485381 + 0.840704i) q^{91} +(0.296585 + 0.138300i) q^{92} +(10.6161 - 11.1845i) q^{93} +(-5.18897 - 6.18397i) q^{94} +(-11.1694 + 2.91552i) q^{95} +(0.826635 - 1.52206i) q^{96} +(-4.89650 + 10.5006i) q^{97} +(-5.98389 - 1.60338i) q^{98} +(-4.00322 + 0.208894i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 216 q + 12 q^{6} + 24 q^{11} - 24 q^{20} + 24 q^{23} + 36 q^{25} + 12 q^{27} - 72 q^{30} - 12 q^{33} - 108 q^{35} - 12 q^{36} - 36 q^{38} - 72 q^{41} - 48 q^{42} - 60 q^{45} - 48 q^{47} - 12 q^{48} - 48 q^{50}+ \cdots - 72 q^{97}+O(q^{100}) $ 216 * q + 12 * q^6 + 24 * q^11 - 24 * q^20 + 24 * q^23 + 36 * q^25 + 12 * q^27 - 72 * q^30 - 12 * q^33 - 108 * q^35 - 12 * q^36 - 36 * q^38 - 72 * q^41 - 48 * q^42 - 60 * q^45 - 48 * q^47 - 12 * q^48 - 48 * q^50 - 192 * q^51 - 12 * q^56 - 36 * q^57 + 36 * q^61 + 84 * q^63 + 24 * q^65 - 72 * q^67 + 36 * q^68 - 48 * q^72 - 36 * q^75 - 240 * q^77 + 24 * q^78 - 24 * q^81 - 60 * q^83 + 72 * q^86 - 252 * q^87 - 48 * q^92 - 96 * q^93 - 60 * q^95 - 72 * q^97

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/270\mathbb{Z}\right)^\times$.

$n$	$191$	$217$
$\chi(n)$	$e\left(\frac{13}{18}\right)$	$e\left(\frac{3}{4}\right)$

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 $

$2$	−0.0871557	−	0.996195i	−0.0616284	−	0.704416i
$2$	−0.0871557	−	0.996195i	−0.0616284	−	0.704416i
$3$	1.03011	+	1.39244i	0.594732	+	0.803924i
$3$	1.03011	+	1.39244i	0.594732	+	0.803924i
$4$	−0.984808	+	0.173648i	−0.492404	+	0.0868241i
$5$	−1.59133	+	1.57088i	−0.711666	+	0.702518i
$5$	−1.59133	+	1.57088i	−0.711666	+	0.702518i
$6$	1.29736	−	1.14755i	0.529645	−	0.468483i
$7$	0.514631	+	0.734969i	0.194512	+	0.277792i	0.904547	−	0.426375i	$-0.140210\pi$
$7$	0.514631	+	0.734969i	0.194512	+	0.277792i	−0.710034	+	0.704167i	$0.751321\pi$
$8$	0.258819	+	0.965926i	0.0915064	+	0.341506i
$9$	−0.877763	+	2.86872i	−0.292588	+	0.956239i
$10$	1.70359	+	1.44837i	0.538724	+	0.458014i
$11$	0.457015	+	1.25564i	0.137795	+	0.378589i	0.989327	−	0.145714i	$-0.0465480\pi$
$11$	0.457015	+	1.25564i	0.137795	+	0.378589i	−0.851532	+	0.524303i	$0.824326\pi$
$12$	−1.25625	−	1.19241i	−0.362648	−	0.344218i
$13$	1.07783	+	0.0942983i	0.298938	+	0.0261537i	0.235638	−	0.971841i	$-0.424282\pi$
$13$	1.07783	+	0.0942983i	0.298938	+	0.0261537i	0.0632997	+	0.997995i	$0.479838\pi$
$14$	0.687319	−	0.576729i	0.183694	−	0.154137i
$15$	−3.82659	−	0.597662i	−0.988022	−	0.154316i
$16$	0.939693	−	0.342020i	0.234923	−	0.0855050i
$17$	−0.965374	+	3.60283i	−0.234138	+	0.873814i	0.744398	+	0.667736i	$0.232737\pi$
$17$	−0.965374	+	3.60283i	−0.234138	+	0.873814i	−0.978536	+	0.206077i	$0.933930\pi$
$18$	2.93430	+	0.624397i	0.691622	+	0.147172i
$19$	4.47083	+	2.58124i	1.02568	+	0.592176i	0.915744	−	0.401763i	$-0.131602\pi$
$19$	4.47083	+	2.58124i	1.02568	+	0.592176i	0.109935	+	0.993939i	$0.464936\pi$
$20$	1.29438	−	1.82334i	0.289432	−	0.407712i
$21$	−0.493274	+	1.47369i	−0.107641	+	0.321585i
$22$	1.21103	−	0.564712i	0.258192	−	0.120397i
$23$	−0.268064	−	0.187700i	−0.0558952	−	0.0391382i	0.545295	−	0.838244i	$-0.316418\pi$
$23$	−0.268064	−	0.187700i	−0.0558952	−	0.0391382i	−0.601190	+	0.799106i	$0.705307\pi$
$24$	−1.07838	+	1.35540i	−0.220123	+	0.276669i
$25$	0.0646872	−	4.99958i	0.0129374	−	0.999916i
$26$		−	1.08195i		−	0.212188i
$27$	−4.89870	+	1.73285i	−0.942754	+	0.333488i
$28$	−0.634439	−	0.634439i	−0.119898	−	0.119898i
$29$	−3.73628	−	3.13512i	−0.693811	−	0.582176i	0.226195	−	0.974082i	$-0.427371\pi$
$29$	−3.73628	−	3.13512i	−0.693811	−	0.582176i	−0.920005	+	0.391906i	$0.871816\pi$
$30$	−0.261878	+	3.86412i	−0.0478122	+	0.705488i
$31$	−1.54601	−	8.76783i	−0.277671	−	1.57475i	−0.730348	−	0.683075i	$-0.760642\pi$
$31$	−1.54601	−	8.76783i	−0.277671	−	1.57475i	0.452678	−	0.891674i	$-0.350469\pi$
$32$	−0.422618	−	0.906308i	−0.0747091	−	0.160214i
$33$	−1.27762	+	1.92980i	−0.222406	+	0.335936i
$34$	3.67325	+	0.647694i	0.629958	+	0.111079i
$35$	−1.97350	−	0.361159i	−0.333582	−	0.0610470i
$36$	0.366280	−	2.97756i	0.0610467	−	0.496259i
$37$	10.2362	+	2.74278i	1.68282	+	0.450910i	0.968521	−	0.248931i	$-0.0800793\pi$
$37$	10.2362	+	2.74278i	1.68282	+	0.450910i	0.714298	+	0.699841i	$0.246746\pi$
$38$	2.18175	−	4.67879i	0.353927	−	0.758999i
$39$	0.978980	+	1.59795i	0.156762	+	0.255878i
$40$	−1.92922	−	1.13054i	−0.305036	−	0.178754i
$41$	0.945418	+	1.12671i	0.147649	+	0.175962i	0.834800	−	0.550553i	$-0.185583\pi$
$41$	0.945418	+	1.12671i	0.147649	+	0.175962i	−0.687151	+	0.726515i	$0.741139\pi$
$42$	1.51107	+	0.362957i	0.233163	+	0.0560054i
$43$	1.02030	+	0.475774i	0.155594	+	0.0725548i	0.498855	−	0.866685i	$-0.333754\pi$
$43$	1.02030	+	0.475774i	0.155594	+	0.0725548i	−0.343261	+	0.939240i	$0.611532\pi$
$44$	−0.668111	−	1.15720i	−0.100721	−	0.174455i
$45$	−3.10959	−	5.94394i	−0.463550	−	0.886071i
$46$	−0.163623	+	0.283403i	−0.0241249	+	0.0417855i
$47$	6.61269	−	4.63025i	0.964560	−	0.675392i	0.0186513	−	0.999826i	$-0.494063\pi$
$47$	6.61269	−	4.63025i	0.964560	−	0.675392i	0.945908	+	0.324434i	$0.105174\pi$
$48$	1.44422	+	0.956146i	0.208456	+	0.138008i
$49$	2.11881	−	5.82137i	0.302687	−	0.831625i
$50$	−4.98619	+	0.371301i	−0.705154	+	0.0525099i
$51$	−6.01115	+	2.36707i	−0.841729	+	0.331456i
$52$	−1.07783	+	0.0942983i	−0.149469	+	0.0130768i
$53$	2.08364	−	2.08364i	0.286210	−	0.286210i	−0.549369	−	0.835580i	$-0.685132\pi$
$53$	2.08364	−	2.08364i	0.286210	−	0.286210i	0.835580	+	0.549369i	$0.185132\pi$
$54$	2.15321	+	4.72903i	0.293015	+	0.643539i
$55$	−2.69972	−	1.28022i	−0.364030	−	0.172625i
$56$	−0.576729	+	0.687319i	−0.0770687	+	0.0918469i
$57$	1.01122	+	8.88430i	0.133940	+	1.17675i
$58$	−2.79755	+	3.99531i	−0.367336	+	0.524610i
$59$	−11.7104	−	4.26225i	−1.52457	−	0.554898i	−0.562284	−	0.826944i	$-0.690077\pi$
$59$	−11.7104	−	4.26225i	−1.52457	−	0.554898i	−0.962284	+	0.272046i	$0.912300\pi$
$60$	3.87224	−	0.0758985i	0.499904	−	0.00979846i
$61$	1.05434	−	5.97947i	0.134995	−	0.765593i	−0.839869	−	0.542790i	$-0.817368\pi$
$61$	1.05434	−	5.97947i	0.134995	−	0.765593i	0.974863	−	0.222803i	$-0.0715208\pi$
$62$	−8.59972	+	2.30429i	−1.09217	+	0.292645i
$63$	−2.56014	+	0.831202i	−0.322548	+	0.104722i
$64$	−0.866025	+	0.500000i	−0.108253	+	0.0625000i
$65$	−1.86333	+	1.54309i	−0.231117	+	0.191396i
$66$	2.03381	+	1.10457i	0.250345	+	0.135963i
$67$	−0.832678	+	9.51755i	−0.101728	+	1.16275i	0.758089	+	0.652151i	$0.226133\pi$
$67$	−0.832678	+	9.51755i	−0.101728	+	1.16275i	−0.859817	+	0.510603i	$0.829422\pi$
$68$	0.325084	−	3.71573i	0.0394222	−	0.450598i
$69$	−0.0147733	−	0.566613i	−0.00177850	−	0.0682122i
$70$	−0.187783	+	1.99746i	−0.0224444	+	0.238743i
$71$	−2.95943	+	1.70863i	−0.351220	+	0.202777i	−0.665223	−	0.746645i	$-0.731663\pi$
$71$	−2.95943	+	1.70863i	−0.351220	+	0.202777i	0.314002	+	0.949422i	$0.398330\pi$
$72$	−2.99815	−	0.105375i	−0.353335	−	0.0124186i
$73$	4.30684	−	1.15401i	0.504077	−	0.135067i	0.00218557	−	0.999998i	$-0.499304\pi$
$73$	4.30684	−	1.15401i	0.504077	−	0.135067i	0.501892	+	0.864931i	$0.332638\pi$
$74$	1.84020	−	10.4363i	0.213919	−	1.21319i
$75$	7.02824	−	5.06003i	0.811551	−	0.584282i
$76$	−4.85114	−	1.76567i	−0.556463	−	0.202536i
$77$	−0.687661	+	0.982082i	−0.0783662	+	0.111919i
$78$	1.50655	−	1.11453i	0.170583	−	0.126195i
$79$	−10.7626	+	12.8264i	−1.21089	+	1.44308i	−0.348140	+	0.937443i	$0.613187\pi$
$79$	−10.7626	+	12.8264i	−1.21089	+	1.44308i	−0.862747	+	0.505636i	$0.831258\pi$
$80$	−0.958093	+	2.02041i	−0.107118	+	0.225889i
$81$	−7.45907	−	5.03610i	−0.828785	−	0.559567i
$82$	1.04002	−	1.04002i	0.114851	−	0.114851i
$83$	3.40793	−	0.298155i	0.374069	−	0.0327268i	0.101429	−	0.994843i	$-0.467659\pi$
$83$	3.40793	−	0.298155i	0.374069	−	0.0327268i	0.272640	+	0.962116i	$0.412103\pi$
$84$	0.229877	−	1.53696i	0.0250816	−	0.167696i
$85$	−4.12337	−	7.24978i	−0.447242	−	0.786349i
$86$	0.385038	−	1.05788i	0.0415197	−	0.114075i
$87$	0.516681	−	8.43204i	0.0553940	−	0.904010i
$88$	−1.09457	+	0.766425i	−0.116681	+	0.0817012i
$89$	4.47579	−	7.75230i	0.474433	−	0.821742i	−0.525139	−	0.851017i	$-0.675986\pi$
$89$	4.47579	−	7.75230i	0.474433	−	0.821742i	0.999571	+	0.0292749i	$0.00931982\pi$
$90$	−5.65031	+	3.61580i	−0.595595	+	0.381139i
$91$	0.485381	+	0.840704i	0.0508817	+	0.0881298i
$92$	0.296585	+	0.138300i	0.0309211	+	0.0144188i
$93$	10.6161	−	11.1845i	1.10084	−	1.15978i
$94$	−5.18897	−	6.18397i	−0.535201	−	0.637828i
$95$	−11.1694	+	2.91552i	−1.14596	+	0.299126i
$96$	0.826635	−	1.52206i	0.0843681	−	0.155345i
$97$	−4.89650	+	10.5006i	−0.497164	+	1.06617i	0.484366	+	0.874865i	$0.339050\pi$
$97$	−4.89650	+	10.5006i	−0.497164	+	1.06617i	−0.981530	+	0.191306i	$0.938728\pi$
$98$	−5.98389	−	1.60338i	−0.604464	−	0.161966i
$99$	−4.00322	+	0.208894i	−0.402339	+	0.0209946i
$100$	0.804464	+	4.93486i	0.0804464	+	0.493486i
$101$	16.8242	+	2.96657i	1.67407	+	0.295184i	0.928526	−	0.371268i	$-0.121077\pi$
$101$	16.8242	+	2.96657i	1.67407	+	0.295184i	0.745548	+	0.666452i	$0.232188\pi$
$102$	2.88197	+	5.78197i	0.285357	+	0.572500i
$103$	3.61126	+	7.74438i	0.355828	+	0.763076i	0.999998	−	0.00180621i	$-0.000574934\pi$
$103$	3.61126	+	7.74438i	0.355828	+	0.763076i	−0.644170	+	0.764882i	$0.722797\pi$
$104$	0.187879	+	1.06551i	0.0184231	+	0.104482i
$105$	−1.53002	−	3.12000i	−0.149315	−	0.304481i
$106$	−2.25731	−	1.89411i	−0.219250	−	0.183972i
$107$	4.81383	+	4.81383i	0.465371	+	0.465371i	0.900411	−	0.435040i	$-0.143266\pi$
$107$	4.81383	+	4.81383i	0.465371	+	0.465371i	−0.435040	+	0.900411i	$0.643266\pi$
$108$	4.52337	−	2.55718i	0.435261	−	0.246064i
$109$		−	17.8131i		−	1.70618i	−0.521760	−	0.853092i	$-0.674724\pi$
$109$		−	17.8131i		−	1.70618i	0.521760	−	0.853092i	$-0.325276\pi$
$110$	−1.04006	+	2.80102i	−0.0991655	+	0.267067i
$111$	6.72522	+	17.0786i	0.638329	+	1.62103i
$112$	0.734969	+	0.514631i	0.0694481	+	0.0486281i
$113$	0.616184	−	0.287331i	0.0579657	−	0.0270299i	−0.393419	−	0.919359i	$-0.628708\pi$
$113$	0.616184	−	0.287331i	0.0579657	−	0.0270299i	0.451385	+	0.892329i	$0.350930\pi$
$114$	8.76236	−	1.78169i	0.820670	−	0.166871i
$115$	0.721433	−	0.122402i	0.0672740	−	0.0114140i
$116$	4.22393	+	2.43869i	0.392182	+	0.226426i
$117$	−1.21660	+	3.00923i	−0.112475	+	0.278204i
$118$	−3.22540	+	12.0374i	−0.296922	+	1.10813i
$119$	−3.14478	+	1.14461i	−0.288281	+	0.104926i
$120$	−0.413098	−	3.85089i	−0.0377105	−	0.351537i
$121$	7.05873	−	5.92297i	0.641702	−	0.538452i
$122$	−6.04861	−	0.529185i	−0.547616	−	0.0479101i
$123$	−0.594986	+	2.47706i	−0.0536480	+	0.223349i
$124$	3.04504	+	8.36617i	0.273452	+	0.751304i
$125$	7.75079	+	8.05762i	0.693252	+	0.720695i
$126$	1.05117	+	2.47796i	0.0936456	+	0.220754i
$127$	−0.913135	−	3.40787i	−0.0810277	−	0.302399i	0.913505	−	0.406828i	$-0.133365\pi$
$127$	−0.913135	−	3.40787i	−0.0810277	−	0.302399i	−0.994532	+	0.104429i	$0.966699\pi$
$128$	0.573576	+	0.819152i	0.0506975	+	0.0724035i
$129$	0.388532	+	1.91080i	0.0342084	+	0.168237i
$130$	1.69961	+	1.72175i	0.149066	+	0.151007i
$131$	15.1888	−	2.67820i	1.32705	−	0.233995i	0.535209	−	0.844720i	$-0.320233\pi$
$131$	15.1888	−	2.67820i	1.32705	−	0.233995i	0.791843	+	0.610725i	$0.209122\pi$
$132$	0.923106	−	2.12234i	0.0803460	−	0.184726i
$133$	0.403699	+	4.61431i	0.0350052	+	0.400111i
$134$	9.55391			0.825332
$135$	5.07336	−	10.4528i	0.436645	−	0.899634i
$136$	−3.72992			−0.319838
$137$	1.24791	+	14.2637i	0.106616	+	1.21863i	0.841432	+	0.540364i	$0.181713\pi$
$137$	1.24791	+	14.2637i	0.106616	+	1.21863i	−0.734815	+	0.678267i	$0.762731\pi$
$138$	−0.563170	+	0.0641007i	−0.0479402	+	0.00545661i
$139$	−10.6457	+	1.87712i	−0.902953	+	0.159215i	−0.605802	−	0.795616i	$-0.707148\pi$
$139$	−10.6457	+	1.87712i	−0.902953	+	0.159215i	−0.297151	+	0.954831i	$0.596036\pi$
$140$	2.00623	+	0.0129783i	0.169557	+	0.00109686i
$141$	13.2591	+	4.43810i	1.11662	+	0.373755i
$142$	1.96006	+	2.79926i	0.164485	+	0.234908i
$143$	0.374182	+	1.39647i	0.0312907	+	0.116778i
$144$	0.156332	+	2.99592i	0.0130276	+	0.249660i
$145$	10.8706	−	0.880231i	0.902751	−	0.0730992i
$146$	−1.52499	−	4.18987i	−0.126209	−	0.346756i
$147$	10.2885	−	3.04633i	0.848580	−	0.251257i
$148$	−10.5570	−	0.923614i	−0.867777	−	0.0759206i
$149$	−3.34495	+	2.80675i	−0.274029	+	0.229938i	−0.769437	−	0.638723i	$-0.779463\pi$
$149$	−3.34495	+	2.80675i	−0.274029	+	0.229938i	0.495408	+	0.868660i	$0.335019\pi$
$150$	−5.65332	−	6.56048i	−0.461592	−	0.535661i
$151$	4.82495	−	1.75614i	0.392649	−	0.142913i	−0.138148	−	0.990412i	$-0.544115\pi$
$151$	4.82495	−	1.75614i	0.392649	−	0.142913i	0.530797	+	0.847499i	$0.321893\pi$
$152$	−1.33615	+	4.98656i	−0.108376	+	0.404464i
$153$	−9.48811	−	5.93181i	−0.767069	−	0.479558i
$154$	1.03828	+	0.599450i	0.0836668	+	0.0483051i
$155$	16.2334	+	11.5240i	1.30390	+	0.925627i
$156$	−1.24159	−	1.40368i	−0.0994067	−	0.112384i
$157$	5.87269	−	2.73848i	0.468691	−	0.218554i	−0.173900	−	0.984763i	$-0.555637\pi$
$157$	5.87269	−	2.73848i	0.468691	−	0.218554i	0.642592	+	0.766209i	$0.277859\pi$
$158$	13.7156	+	9.60375i	1.09115	+	0.764033i
$159$	5.04771	+	0.754968i	0.400310	+	0.0598729i
$160$	2.09623	+	0.778357i	0.165721	+	0.0615345i
$161$		−	0.293615i		−	0.0231401i
$162$	−4.36684	+	7.86961i	−0.343091	+	0.618295i
$163$	−2.98075	−	2.98075i	−0.233470	−	0.233470i	0.580669	−	0.814140i	$-0.302791\pi$
$163$	−2.98075	−	2.98075i	−0.233470	−	0.233470i	−0.814140	+	0.580669i	$0.802791\pi$
$164$	−1.12671	−	0.945418i	−0.0879809	−	0.0738247i
$165$	−0.998362	−	5.07795i	−0.0777223	−	0.395318i
$166$	−0.594042	−	3.36898i	−0.0461066	−	0.261483i
$167$	−6.55497	−	14.0572i	−0.507239	−	1.08778i	−0.978588	−	0.205831i	$-0.934010\pi$
$167$	−6.55497	−	14.0572i	−0.507239	−	1.08778i	0.471349	−	0.881947i	$-0.343767\pi$
$168$	−1.55114	−	0.0950476i	−0.119673	−	0.00733308i
$169$	−11.6497	−	2.05415i	−0.896128	−	0.158012i
$170$	−6.86282	+	4.73953i	−0.526354	+	0.363506i
$171$	−11.3292	+	10.5598i	−0.866362	+	0.807531i
$172$	−1.08742	−	0.291372i	−0.0829147	−	0.0222169i
$173$	10.6547	−	22.8491i	0.810064	−	1.73719i	0.146308	−	0.989239i	$-0.453261\pi$
$173$	10.6547	−	22.8491i	0.810064	−	1.73719i	0.663756	−	0.747949i	$-0.268961\pi$
$174$	−8.44499	+	0.220186i	−0.640213	+	0.0166923i
$175$	3.70783	−	2.52540i	0.280285	−	0.190902i
$176$	0.858907	+	1.02360i	0.0647425	+	0.0771571i
$177$	−6.12807	−	20.6966i	−0.460614	−	1.55565i
$178$	−8.11289	−	3.78310i	−0.608087	−	0.283555i
$179$	10.5977	+	18.3558i	0.792112	+	1.37198i	0.924657	+	0.380802i	$0.124352\pi$
$179$	10.5977	+	18.3558i	0.792112	+	1.37198i	−0.132544	+	0.991177i	$0.542315\pi$
$180$	4.09450	+	5.31367i	0.305186	+	0.396057i
$181$	5.84791	−	10.1289i	0.434672	−	0.752874i	−0.562597	−	0.826731i	$-0.690198\pi$
$181$	5.84791	−	10.1289i	0.434672	−	0.752874i	0.997269	+	0.0738575i	$0.0235310\pi$
$182$	0.795201	−	0.556806i	0.0589443	−	0.0412732i
$183$	9.41212	−	4.69139i	0.695764	−	0.346797i
$184$	0.111925	−	0.307510i	0.00825119	−	0.0226700i
$185$	−20.5978	+	11.7151i	−1.51438	+	0.861313i
$186$	−12.0672	−	9.60091i	−0.884811	−	0.703973i
$187$	−4.96503	+	0.434384i	−0.363079	+	0.0317653i
$188$	−5.70819	+	5.70819i	−0.416313	+	0.416313i
$189$	−3.79461	−	2.70861i	−0.276018	−	0.197022i
$190$	3.87790	+	10.8728i	0.281333	+	0.788794i
$191$	−12.0553	+	14.3669i	−0.872288	+	1.03955i	0.126579	+	0.991957i	$0.459600\pi$
$191$	−12.0553	+	14.3669i	−0.872288	+	1.03955i	−0.998867	+	0.0475957i	$0.984844\pi$
$192$	−1.58832	−	0.690833i	−0.114627	−	0.0498566i
$193$	−10.2279	+	14.6069i	−0.736218	+	1.05143i	0.260090	+	0.965584i	$0.416248\pi$
$193$	−10.2279	+	14.6069i	−0.736218	+	1.05143i	−0.996309	+	0.0858443i	$0.972641\pi$
$194$	10.8874	+	3.96268i	0.781668	+	0.284504i
$195$	−4.06808	−	1.00502i	−0.291321	−	0.0719711i
$196$	−1.07575	+	6.10086i	−0.0768390	+	0.435776i
$197$	1.88936	−	0.506253i	0.134612	−	0.0360691i	−0.190884	−	0.981613i	$-0.561135\pi$
$197$	1.88936	−	0.506253i	0.134612	−	0.0360691i	0.325496	+	0.945544i	$0.394469\pi$
$198$	0.557002	+	3.96978i	0.0395844	+	0.282120i
$199$	−4.22337	+	2.43837i	−0.299387	+	0.172851i	−0.642168	−	0.766564i	$-0.721965\pi$
$199$	−4.22337	+	2.43837i	−0.299387	+	0.172851i	0.342780	+	0.939416i	$0.388631\pi$
$200$	4.84597	−	1.23150i	0.342662	−	0.0870805i
$201$	−14.1103	+	8.64464i	−0.995267	+	0.609746i
$202$	1.48895	−	17.0188i	0.104762	−	1.19744i
$203$	0.381405	−	4.35948i	0.0267694	−	0.305976i
$204$	5.50879	−	3.37493i	0.385692	−	0.236293i
$205$	−3.27439	−	0.307828i	−0.228693	−	0.0214997i
$206$	7.40016	−	4.27249i	0.515594	−	0.297678i
$207$	0.773755	−	0.604243i	0.0537797	−	0.0419978i
$208$	1.04509	−	0.280030i	0.0724636	−	0.0194166i
$209$	−1.19786	+	6.79340i	−0.0828577	+	0.469910i
$210$	−2.97478	+	1.79612i	−0.205279	+	0.123944i
$211$	−2.69507	−	0.980927i	−0.185537	−	0.0675298i	0.247581	−	0.968867i	$-0.420364\pi$
$211$	−2.69507	−	0.980927i	−0.185537	−	0.0675298i	−0.433118	+	0.901337i	$0.642587\pi$
$212$	−1.69017	+	2.41381i	−0.116081	+	0.165781i
$213$	−5.42769	−	2.36076i	−0.371899	−	0.161756i
$214$	4.37596	−	5.21507i	0.299135	−	0.356495i
$215$	−2.37102	+	0.845651i	−0.161702	+	0.0576729i
$216$	−2.94168	−	4.28328i	−0.200156	−	0.291440i
$217$	5.64846	−	5.64846i	0.383443	−	0.383443i
$218$	−17.7453	+	1.55251i	−1.20186	+	0.105149i
$219$	6.04339	+	4.80824i	0.408374	+	0.324911i
$220$	2.88101	+	0.791974i	0.194238	+	0.0533949i
$221$	−1.38025	+	3.79222i	−0.0928460	+	0.255092i
$222$	16.4275	−	8.18812i	1.10254	−	0.549551i
$223$	−12.3469	+	8.64537i	−0.826807	+	0.578937i	−0.908578	−	0.417714i	$-0.862831\pi$
$223$	−12.3469	+	8.64537i	−0.826807	+	0.578937i	0.0817710	+	0.996651i	$0.473942\pi$
$224$	0.448616	−	0.777025i	0.0299744	−	0.0519172i
$225$	14.2856	+	4.57402i	0.952373	+	0.304934i
$226$	−0.339942	−	0.588797i	−0.0226126	−	0.0391662i
$227$	−20.7104	−	9.65741i	−1.37460	−	0.640985i	−0.411815	−	0.911267i	$-0.635105\pi$
$227$	−20.7104	−	9.65741i	−1.37460	−	0.640985i	−0.962781	+	0.270283i	$0.912883\pi$
$228$	−2.53860	−	8.57373i	−0.168123	−	0.567809i
$229$	−7.00025	−	8.34257i	−0.462589	−	0.551293i	0.483438	−	0.875378i	$-0.339388\pi$
$229$	−7.00025	−	8.34257i	−0.462589	−	0.551293i	−0.946028	+	0.324086i	$0.894943\pi$
$230$	−0.184813	−	0.708020i	−0.0121862	−	0.0466855i
$231$	−2.07585	+	0.0541236i	−0.136581	+	0.00356107i
$232$	2.06127	−	4.42040i	0.135329	−	0.290214i
$233$	−9.23397	−	2.47423i	−0.604937	−	0.162092i	−0.0566662	−	0.998393i	$-0.518047\pi$
$233$	−9.23397	−	2.47423i	−0.604937	−	0.162092i	−0.548271	+	0.836301i	$0.684714\pi$
$234$	3.10381	+	0.949697i	0.202903	+	0.0620837i
$235$	−3.24943	+	17.7560i	−0.211970	+	1.15827i
$236$	12.2727	+	2.16400i	0.798882	+	0.140864i
$237$	−28.9465	−	1.77372i	−1.88028	−	0.115216i
$238$	1.41434	+	3.03305i	0.0916777	+	0.196604i
$239$	−2.54154	−	14.4138i	−0.164399	−	0.932351i	−0.949682	−	0.313215i	$-0.898594\pi$
$239$	−2.54154	−	14.4138i	−0.164399	−	0.932351i	0.785284	−	0.619136i	$-0.212517\pi$
$240$	−3.80023	+	0.747153i	−0.245304	+	0.0482285i
$241$	−2.57850	−	2.16361i	−0.166095	−	0.139371i	0.555951	−	0.831215i	$-0.312354\pi$
$241$	−2.57850	−	2.16361i	−0.166095	−	0.139371i	−0.722047	+	0.691844i	$0.756799\pi$
$242$	−6.51564	−	6.51564i	−0.418841	−	0.418841i
$243$	−0.671170	−	15.5740i	−0.0430556	−	0.999073i
$244$			6.07172i			0.388702i
$245$	5.77294	+	12.5921i	0.368819	+	0.804482i
$246$	2.51949	+	0.376831i	0.160637	+	0.0240259i
$247$	4.57541	+	3.20374i	0.291126	+	0.203849i
$248$	8.06894	−	3.76261i	0.512378	−	0.238926i
$249$	3.92570	+	4.43820i	0.248781	+	0.281260i
$250$	7.35143	−	8.42357i	0.464945	−	0.532753i
$251$	−6.11959	−	3.53315i	−0.386265	−	0.223010i	0.294275	−	0.955721i	$-0.404922\pi$
$251$	−6.11959	−	3.53315i	−0.386265	−	0.223010i	−0.680541	+	0.732710i	$0.738255\pi$
$252$	2.37691	−	1.26314i	0.149731	−	0.0795702i
$253$	0.113174	−	0.422373i	0.00711522	−	0.0265543i
$254$	−3.31531	+	1.20668i	−0.208021	+	0.0757136i
$255$	5.84736	−	13.2096i	0.366176	−	0.827216i
$256$	0.766044	−	0.642788i	0.0478778	−	0.0401742i
$257$	15.8787	+	1.38920i	0.990484	+	0.0866561i	0.570865	−	0.821044i	$-0.306608\pi$
$257$	15.8787	+	1.38920i	0.990484	+	0.0866561i	0.419619	+	0.907700i	$0.362164\pi$
$258$	1.86967	−	0.553591i	0.116400	−	0.0344651i
$259$	3.25200	+	8.93480i	0.202070	+	0.555182i
$260$	1.56706	−	1.84321i	0.0971852	−	0.114311i
$261$	12.2733	−	7.96645i	0.759700	−	0.493111i
$262$	−3.99180	−	14.8976i	−0.246614	−	0.920376i
$263$	−11.4183	−	16.3071i	−0.704085	−	1.00554i	−0.998752	−	0.0499372i	$-0.984098\pi$
$263$	−11.4183	−	16.3071i	−0.704085	−	1.00554i	0.294668	−	0.955600i	$-0.404791\pi$
$264$	−2.19472	−	0.734619i	−0.135076	−	0.0452127i
$265$	−0.0426236	+	6.58892i	−0.00261835	+	0.404754i
$266$	4.56156	−	0.804327i	0.279687	−	0.0493164i
$267$	15.4051	−	1.75343i	0.942778	−	0.107308i
$268$	−0.832678	−	9.51755i	−0.0508639	−	0.581377i
$269$	23.9757			1.46182			0.730911	−	0.682473i	$-0.239095\pi$
$269$	23.9757			1.46182			0.730911	+	0.682473i	$0.239095\pi$
$270$	−10.8552	−	4.14303i	−0.660626	−	0.252137i
$271$	−31.4527			−1.91061			−0.955307	−	0.295616i	$-0.904475\pi$
$271$	−31.4527			−1.91061			−0.955307	+	0.295616i	$0.904475\pi$
$272$	0.325084	+	3.71573i	0.0197111	+	0.225299i
$273$	−0.670634	+	1.54188i	−0.0405886	+	0.0933186i
$274$	14.1007	−	2.48633i	0.851853	−	0.150205i
$275$	6.30722	−	2.20366i	0.380340	−	0.132886i
$276$	0.112940	+	0.555440i	0.00679820	+	0.0334335i
$277$	3.34271	+	4.77388i	0.200844	+	0.286835i	0.906921	−	0.421300i	$-0.138426\pi$
$277$	3.34271	+	4.77388i	0.200844	+	0.286835i	−0.706078	+	0.708134i	$0.749537\pi$
$278$	2.79780	+	10.4415i	0.167801	+	0.626242i
$279$	26.5094	+	3.26103i	1.58708	+	0.195232i
$280$	−0.161925	−	1.99973i	−0.00967690	−	0.119506i
$281$	1.23133	+	3.38305i	0.0734550	+	0.201816i	0.970986	−	0.239134i	$-0.0768637\pi$
$281$	1.23133	+	3.38305i	0.0734550	+	0.201816i	−0.897531	+	0.440950i	$0.854641\pi$
$282$	3.26560	−	13.5955i	0.194464	−	0.809598i
$283$	12.6089	+	1.10313i	0.749521	+	0.0655746i	0.455514	−	0.890229i	$-0.349456\pi$
$283$	12.6089	+	1.10313i	0.749521	+	0.0655746i	0.294007	+	0.955803i	$0.405011\pi$
$284$	2.61777	−	2.19657i	0.155336	−	0.130343i
$285$	−15.5653	−	12.5494i	−0.922011	−	0.743361i
$286$	1.35854	−	0.494468i	0.0803321	−	0.0292385i
$287$	−0.341552	+	1.27469i	−0.0201612	+	0.0752426i
$288$	2.97090	−	0.416849i	0.175062	−	0.0245630i
$289$	2.67403	+	1.54385i	0.157296	+	0.0908147i
$290$	−1.82431	−	10.7525i	−0.107127	−	0.631407i
$291$	−19.6653	+	3.99864i	−1.15280	+	0.234404i
$292$	−4.04101	+	1.88436i	−0.236482	+	0.110274i
$293$	−7.66414	−	5.36649i	−0.447744	−	0.313514i	0.327868	−	0.944723i	$-0.393670\pi$
$293$	−7.66414	−	5.36649i	−0.447744	−	0.313514i	−0.775612	+	0.631210i	$0.782559\pi$
$294$	−3.93144	−	9.98384i	−0.229286	−	0.582269i
$295$	25.3307	−	11.6130i	1.47481	−	0.676135i
$296$			10.5973i			0.615955i
$297$	−4.41461	−	5.35905i	−0.256162	−	0.310963i
$298$	3.08760	+	3.08760i	0.178860	+	0.178860i
$299$	−0.271229	−	0.227588i	−0.0156856	−	0.0131617i
$300$	−6.04280	+	6.20359i	−0.348881	+	0.358165i
$301$	0.175399	+	0.994737i	0.0101098	+	0.0573357i
$302$	−2.16998	−	4.65353i	−0.124868	−	0.267781i
$303$	13.2000	+	26.4826i	0.758320	+	1.52138i
$304$	5.08404	+	0.896454i	0.291590	+	0.0514151i
$305$	7.71521	+	11.1716i	0.441772	+	0.639683i
$306$	−5.08229	+	9.96900i	−0.290535	+	0.569890i
$307$	−12.3596	−	3.31174i	−0.705398	−	0.189011i	−0.111751	−	0.993736i	$-0.535646\pi$
$307$	−12.3596	−	3.31174i	−0.705398	−	0.189011i	−0.593647	+	0.804725i	$0.702313\pi$
$308$	0.506677	−	1.08657i	0.0288706	−	0.0619132i
$309$	−7.06357	+	13.0060i	−0.401833	+	0.739885i
$310$	10.0653	−	17.1760i	0.571669	−	0.975532i
$311$	−12.7735	−	15.2229i	−0.724319	−	0.863210i	0.270724	−	0.962657i	$-0.412737\pi$
$311$	−12.7735	−	15.2229i	−0.724319	−	0.863210i	−0.995043	+	0.0994475i	$0.968292\pi$
$312$	−1.29013	+	1.35920i	−0.0730391	+	0.0769497i
$313$	−27.5614	−	12.8521i	−1.55786	−	0.726444i	−0.562886	−	0.826535i	$-0.690309\pi$
$313$	−27.5614	−	12.8521i	−1.55786	−	0.726444i	−0.994978	+	0.100090i	$0.968087\pi$
$314$	−3.23990	−	5.61167i	−0.182838	−	0.316685i
$315$	2.76832	−	5.34439i	0.155977	−	0.301122i
$316$	8.37181	−	14.5004i	0.470951	−	0.815712i
$317$	0.607316	−	0.425247i	0.0341102	−	0.0238842i	−0.556397	−	0.830917i	$-0.687817\pi$
$317$	0.607316	−	0.425247i	0.0341102	−	0.0238842i	0.590507	+	0.807032i	$0.298928\pi$
$318$	0.312158	−	5.09431i	0.0175050	−	0.285674i
$319$	2.22903	−	6.12421i	0.124802	−	0.342890i
$320$	0.592697	−	2.15609i	0.0331328	−	0.120529i
$321$	−1.74420	+	11.6617i	−0.0973519	+	0.650894i
$322$	−0.292498	+	0.0255902i	−0.0163003	+	0.00142609i
$323$	−13.6158	+	13.6158i	−0.757601	+	0.757601i
$324$	8.22026	+	3.66434i	0.456681	+	0.203575i
$325$	0.541174	−	5.38262i	0.0300190	−	0.298574i
$326$	−2.70962	+	3.22920i	−0.150072	+	0.178849i
$327$	24.8036	−	18.3494i	1.37164	−	1.01472i
$328$	−0.843622	+	1.20482i	−0.0465812	+	0.0665249i
$329$	6.80619	+	2.47725i	0.375237	+	0.136575i
$330$	−4.97162	+	1.43714i	−0.273678	+	0.0791117i
$331$	−2.86141	+	16.2279i	−0.157278	+	0.891965i	0.799396	+	0.600804i	$0.205153\pi$
$331$	−2.86141	+	16.2279i	−0.157278	+	0.891965i	−0.956674	+	0.291161i	$0.905958\pi$
$332$	−3.30438	+	0.885407i	−0.181352	+	0.0485930i
$333$	−16.8532	+	26.9572i	−0.923550	+	1.47725i
$334$	−13.4324	+	7.75519i	−0.734988	+	0.424345i
$335$	−13.6258	−	16.4536i	−0.744459	−	0.898959i
$336$	0.0405050	+	1.55352i	0.00220973	+	0.0847516i
$337$	−2.79720	+	31.9721i	−0.152373	+	1.74163i	0.407635	+	0.913145i	$0.366353\pi$
$337$	−2.79720	+	31.9721i	−0.152373	+	1.74163i	−0.560009	+	0.828487i	$0.689202\pi$
$338$	−1.03100	+	11.7844i	−0.0560789	+	0.640985i
$339$	1.03483	+	0.562016i	0.0562040	+	0.0305245i
$340$	5.31963	+	6.42363i	0.288498	+	0.348370i
$341$	10.3027	−	5.94825i	0.557921	−	0.322116i
$342$	11.5070	+	10.3657i	0.622230	+	0.560513i
$343$	11.4355	−	3.06415i	0.617462	−	0.165448i
$344$	−0.195489	+	1.10867i	−0.0105401	+	0.0597757i
$345$	0.913589	+	0.878464i	0.0491860	+	0.0472949i
$346$	−23.6908	−	8.62275i	−1.27363	−	0.463562i
$347$	14.4284	−	20.6058i	0.774556	−	1.10618i	−0.216959	−	0.976181i	$-0.569614\pi$
$347$	14.4284	−	20.6058i	0.774556	−	1.10618i	0.991514	−	0.129999i	$-0.0414975\pi$
$348$	0.955377	+	8.39366i	0.0512136	+	0.449948i
$349$	−18.1194	+	21.5939i	−0.969910	+	1.15589i	0.0178387	+	0.999841i	$0.494321\pi$
$349$	−18.1194	+	21.5939i	−0.969910	+	1.15589i	−0.987749	+	0.156053i	$0.950123\pi$
$350$	−2.83895	−	3.47362i	−0.151748	−	0.185673i
$351$	−5.44339	+	1.40579i	−0.290547	+	0.0750355i
$352$	0.944851	−	0.944851i	0.0503607	−	0.0503607i
$353$	−3.26048	+	0.285255i	−0.173538	+	0.0151826i	−0.173593	−	0.984817i	$-0.555538\pi$
$353$	−3.26048	+	0.285255i	−0.173538	+	0.0151826i	5.56666e−5		1.00000i	$0.499982\pi$
$354$	−20.0838	+	7.90858i	−1.06744	+	0.420336i
$355$	2.02540	−	7.36791i	0.107497	−	0.391048i
$356$	−3.06162	+	8.41174i	−0.162266	+	0.445821i
$357$	−4.83325	−	3.19984i	−0.255802	−	0.169353i
$358$	17.3623	−	12.1572i	0.917627	−	0.642530i
$359$	10.3345	−	17.8999i	0.545434	−	0.944720i	−0.453145	−	0.891437i	$-0.649698\pi$
$359$	10.3345	−	17.8999i	0.545434	−	0.944720i	0.998579	−	0.0532832i	$-0.0169686\pi$
$360$	4.93659	−	4.54204i	0.260181	−	0.239386i
$361$	3.82555	+	6.62605i	0.201345	+	0.348739i
$362$	−10.6000	−	4.94287i	−0.557125	−	0.259791i
$363$	15.5186	+	3.72754i	0.814516	+	0.195645i
$364$	−0.623994	−	0.743647i	−0.0327062	−	0.0389777i
$365$	−5.04080	+	8.60193i	−0.263848	+	0.450246i
$366$	−5.49385	−	8.96743i	−0.287168	−	0.468735i
$367$	−1.75767	+	3.76935i	−0.0917499	+	0.196758i	−0.946827	−	0.321742i	$-0.895732\pi$
$367$	−1.75767	+	3.76935i	−0.0917499	+	0.196758i	0.855078	+	0.518500i	$0.173509\pi$
$368$	−0.316095	−	0.0846974i	−0.0164776	−	0.00441516i
$369$	−4.06205	+	1.72316i	−0.211462	+	0.0897039i
$370$	13.4658	+	19.4983i	0.700051	+	1.01367i
$371$	2.60372	+	0.459106i	0.135178	+	0.0238356i
$372$	−8.51265	+	12.8581i	−0.441361	+	0.666659i
$373$	3.76869	+	8.08198i	0.195135	+	0.418469i	0.979392	−	0.201967i	$-0.0647334\pi$
$373$	3.76869	+	8.08198i	0.195135	+	0.418469i	−0.784257	+	0.620436i	$0.786956\pi$
$374$	0.865462	+	4.90828i	0.0447520	+	0.253801i
$375$	−3.23559	+	19.0927i	−0.167085	+	0.985942i
$376$	6.18397	+	5.18897i	0.318914	+	0.267601i
$377$	−3.73146	−	3.73146i	−0.192180	−	0.192180i
$378$	−2.36758	+	4.01625i	−0.121775	+	0.206573i
$379$		−	4.09110i		−	0.210146i	−0.994465	−	0.105073i	$-0.966492\pi$
$379$		−	4.09110i		−	0.210146i	0.994465	−	0.105073i	$-0.0335076\pi$
$380$	10.4934	−	4.81077i	0.538301	−	0.246787i
$381$	3.80462	−	4.78195i	0.194916	−	0.244987i
$382$	15.3629	+	10.7572i	0.786035	+	0.550388i
$383$	−13.8482	+	6.45751i	−0.707608	+	0.329963i	−0.742889	−	0.669414i	$-0.766545\pi$
$383$	−13.8482	+	6.45751i	−0.707608	+	0.329963i	0.0352811	+	0.999377i	$0.488767\pi$
$384$	−0.549773	+	1.64248i	−0.0280555	+	0.0838176i
$385$	−0.448432	−	2.64305i	−0.0228542	−	0.134702i
$386$	15.4427	+	8.91587i	0.786015	+	0.453806i
$387$	−2.26044	+	2.50933i	−0.114905	+	0.127557i
$388$	2.99870	−	11.1913i	0.152236	−	0.568153i
$389$	−26.1240	+	9.50835i	−1.32454	+	0.482092i	−0.904910	−	0.425604i	$-0.860062\pi$
$389$	−26.1240	+	9.50835i	−1.32454	+	0.482092i	−0.419628	+	0.907696i	$0.637840\pi$
$390$	−0.646642	+	4.14019i	−0.0327440	+	0.209647i
$391$	0.935033	−	0.784586i	0.0472867	−	0.0396782i
$392$	6.17140	+	0.539928i	0.311703	+	0.0272705i
$393$	19.3753	+	18.3906i	0.977354	+	0.927684i
$394$	−0.668996	−	1.83805i	−0.0337035	−	0.0925997i
$395$	−3.02176	−	37.3178i	−0.152041	−	1.87766i
$396$	3.90613	−	0.900871i	0.196290	−	0.0452705i
$397$	−8.73733	−	32.6082i	−0.438514	−	1.63656i	−0.732514	−	0.680752i	$-0.761653\pi$
$397$	−8.73733	−	32.6082i	−0.438514	−	1.63656i	0.294000	−	0.955805i	$-0.405013\pi$
$398$	2.79718	+	3.99479i	0.140210	+	0.200241i
$399$	−6.00928	+	5.31535i	−0.300840	+	0.266100i
$400$	−1.64917	−	4.72019i	−0.0824586	−	0.236010i
$401$	−9.33902	+	1.64672i	−0.466368	+	0.0822333i	−0.401894	−	0.915686i	$-0.631648\pi$
$401$	−9.33902	+	1.64672i	−0.466368	+	0.0822333i	−0.0644740	+	0.997919i	$0.520537\pi$
$402$	9.84154	+	13.3032i	0.490851	+	0.663504i
$403$	−0.839547	−	9.59606i	−0.0418208	−	0.478014i
$404$	−17.0838			−0.849950
$405$	19.7810	−	3.70315i	0.982924	−	0.184011i
$406$	−4.37613			−0.217184
$407$	1.23415	+	14.1064i	0.0611747	+	0.699230i
$408$	−3.84221	−	5.19368i	−0.190218	−	0.257125i
$409$	27.2521	−	4.80528i	1.34753	−	0.237606i	0.547118	−	0.837056i	$-0.315725\pi$
$409$	27.2521	−	4.80528i	1.34753	−	0.237606i	0.800412	+	0.599450i	$0.204614\pi$
$410$	−0.0212750	+	3.28876i	−0.00105070	+	0.162420i
$411$	−18.5758	+	16.4308i	−0.916278	+	0.810470i
$412$	−4.90120	−	6.99963i	−0.241465	−	0.344847i
$413$	−2.89393	−	10.8003i	−0.142401	−	0.531448i
$414$	−0.669381	−	0.718148i	−0.0328983	−	0.0352950i
$415$	−4.95479	+	5.82791i	−0.243221	+	0.286081i
$416$	−0.370049	−	1.01670i	−0.0181432	−	0.0498479i
$417$	−13.5799	−	12.8898i	−0.665012	−	0.631215i
$418$	6.87195	+	0.601218i	0.336118	+	0.0294065i
$419$	−1.14029	+	0.956820i	−0.0557070	+	0.0467437i	−0.670216	−	0.742166i	$-0.733799\pi$
$419$	−1.14029	+	0.956820i	−0.0557070	+	0.0467437i	0.614509	+	0.788910i	$0.289354\pi$
$420$	2.04856	+	2.80692i	0.0999594	+	0.136964i
$421$	23.4690	−	8.54203i	1.14381	−	0.416313i	0.300523	−	0.953775i	$-0.402839\pi$
$421$	23.4690	−	8.54203i	1.14381	−	0.416313i	0.843288	+	0.537461i	$0.180617\pi$
$422$	−0.742303	+	2.77031i	−0.0361347	+	0.134857i
$423$	7.47851	+	23.0342i	0.363618	+	1.11996i
$424$	2.55193	+	1.47336i	0.123933	+	0.0715526i
$425$	17.9502	+	5.05952i	0.870711	+	0.245423i
$426$	−1.87872	+	5.61279i	−0.0910242	+	0.271941i
$427$	4.93733	−	2.30231i	0.238934	−	0.111417i
$428$	−5.57662	−	3.90479i	−0.269556	−	0.188745i
$429$	−1.55904	+	1.95953i	−0.0752713	+	0.0946071i
$430$	1.04908	+	2.28829i	0.0505912	+	0.110351i
$431$		−	20.8531i		−	1.00446i	−0.864734	−	0.502230i	$-0.832513\pi$
$431$		−	20.8531i		−	1.00446i	0.864734	−	0.502230i	$-0.167487\pi$
$432$	−4.01060	+	3.30380i	−0.192960	+	0.158954i
$433$	23.9469	+	23.9469i	1.15081	+	1.15081i	0.986390	+	0.164423i	$0.0525761\pi$
$433$	23.9469	+	23.9469i	1.15081	+	1.15081i	0.164423	+	0.986390i	$0.447424\pi$
$434$	−6.11927	−	5.13467i	−0.293734	−	0.246472i
$435$	12.4235	+	14.2298i	0.595661	+	0.682269i
$436$	3.09321	+	17.5425i	0.148138	+	0.840132i
$437$	−0.713969	−	1.53111i	−0.0341538	−	0.0732430i
$438$	4.26323	−	6.43946i	0.203705	−	0.307689i
$439$	−0.464538	−	0.0819106i	−0.0221712	−	0.00390938i	0.162552	−	0.986700i	$-0.448028\pi$
$439$	−0.464538	−	0.0819106i	−0.0221712	−	0.00390938i	−0.184723	+	0.982791i	$0.559139\pi$
$440$	0.537864	−	2.93907i	0.0256417	−	0.140115i
$441$	14.8401	+	11.1880i	0.706669	+	0.532764i
$442$	3.89808	+	1.04449i	0.185413	+	0.0496813i
$443$	7.54566	−	16.1817i	0.358505	−	0.768817i	−0.641493	−	0.767129i	$-0.721685\pi$
$443$	7.54566	−	16.1817i	0.358505	−	0.768817i	0.999999	−	0.00168819i	$-0.000537369\pi$
$444$	−9.58871	−	15.6513i	−0.455060	−	0.742779i
$445$	5.05543	+	19.3674i	0.239650	+	0.918103i
$446$	9.68857	+	11.5464i	0.458767	+	0.546737i
$447$	−7.35387	−	1.76639i	−0.347826	−	0.0835472i
$448$	−0.813168	−	0.379187i	−0.0384186	−	0.0179149i
$449$	−8.04414	−	13.9329i	−0.379627	−	0.657533i	0.611381	−	0.791336i	$-0.290614\pi$
$449$	−8.04414	−	13.9329i	−0.379627	−	0.657533i	−0.991008	+	0.133804i	$0.957281\pi$
$450$	3.31154	−	14.6299i	0.156107	−	0.689660i
$451$	−0.982663	+	1.70202i	−0.0462718	+	0.0801451i
$452$	−0.556928	+	0.389965i	−0.0261957	+	0.0183424i
$453$	7.41552	+	4.90943i	0.348412	+	0.230665i
$454$	−7.81563	+	21.4733i	−0.366806	+	1.00779i
$455$	−2.09305	−	0.575367i	−0.0981235	−	0.0269736i
$456$	−8.31985	+	3.27619i	−0.389613	+	0.153422i
$457$	15.9069	−	1.39167i	0.744091	−	0.0650995i	0.291196	−	0.956663i	$-0.405947\pi$
$457$	15.9069	−	1.39167i	0.744091	−	0.0650995i	0.452895	+	0.891564i	$0.350391\pi$
$458$	−7.70071	+	7.70071i	−0.359831	+	0.359831i
$459$	−1.51409	−	19.3220i	−0.0706717	−	0.901874i
$460$	−0.689218	+	0.245818i	−0.0321350	+	0.0114613i
$461$	−17.3655	+	20.6954i	−0.808793	+	0.963881i	−0.999843	−	0.0176987i	$-0.994366\pi$
$461$	−17.3655	+	20.6954i	−0.808793	+	0.963881i	0.191051	+	0.981580i	$0.438810\pi$
$462$	0.234840	+	2.06323i	0.0109257	+	0.0959903i
$463$	0.0459116	−	0.0655686i	0.00213369	−	0.00304723i	−0.818084	−	0.575099i	$-0.804964\pi$
$463$	0.0459116	−	0.0655686i	0.00213369	−	0.00304723i	0.820217	+	0.572052i	$0.193852\pi$
$464$	−4.58323	−	1.66816i	−0.212771	−	0.0774424i
$465$	0.675731	+	34.4749i	0.0313363	+	1.59874i
$466$	−1.66003	+	9.41447i	−0.0768992	+	0.436117i
$467$	20.1664	−	5.40356i	0.933188	−	0.250047i	0.239975	−	0.970779i	$-0.422861\pi$
$467$	20.1664	−	5.40356i	0.933188	−	0.250047i	0.693214	+	0.720732i	$0.256194\pi$
$468$	0.675568	−	3.17477i	0.0312281	−	0.146754i
$469$	−7.42363	+	4.28604i	−0.342791	+	0.197911i
$470$	17.9716	+	1.68953i	0.828970	+	0.0779322i
$471$	9.86265	+	5.35642i	0.454447	+	0.246811i
$472$	1.08613	−	12.4146i	0.0499933	−	0.571426i
$473$	−0.131107	+	1.49856i	−0.00602832	+	0.0689040i
$474$	0.755881	+	28.9910i	0.0347188	+	1.33160i
$475$	13.1943	−	22.1853i	0.605396	−	1.01793i
$476$	2.89824	−	1.67330i	0.132841	−	0.0766956i
$477$	4.14843	+	7.80632i	0.189944	+	0.357427i
$478$	−14.1374	+	3.78812i	−0.646631	+	0.173264i
$479$	−2.34496	+	13.2989i	−0.107144	+	0.607644i	0.883198	+	0.469000i	$0.155386\pi$
$479$	−2.34496	+	13.2989i	−0.107144	+	0.607644i	−0.990342	+	0.138644i	$0.955726\pi$
$480$	1.07552	+	3.72065i	0.0490906	+	0.169824i
$481$	10.7743	+	3.92152i	0.491265	+	0.178806i
$482$	−1.93065	+	2.75725i	−0.0879387	+	0.125590i
$483$	0.408841	−	0.302455i	0.0186029	−	0.0137622i
$484$	−5.92297	+	7.05873i	−0.269226	+	0.320851i
$485$	−8.70315	−	24.4017i	−0.395190	−	1.10802i
$486$	−15.4562	+	2.02598i	−0.701109	+	0.0919003i
$487$	−18.5265	+	18.5265i	−0.839518	+	0.839518i	−0.988795	−	0.149278i	$-0.952305\pi$
$487$	−18.5265	+	18.5265i	−0.839518	+	0.839518i	0.149278	+	0.988795i	$0.452305\pi$
$488$	6.04861	−	0.529185i	0.273808	−	0.0239551i
$489$	1.08002	−	7.22100i	0.0488401	−	0.326545i
$490$	12.0411	−	6.84844i	0.543960	−	0.309381i
$491$	−0.472624	+	1.29852i	−0.0213292	+	0.0586015i	−0.949900	−	0.312553i	$-0.898816\pi$
$491$	−0.472624	+	1.29852i	−0.0213292	+	0.0586015i	0.928571	+	0.371155i	$0.121038\pi$
$492$	0.155809	−	2.54275i	0.00702442	−	0.114636i
$493$	14.9022	−	10.4346i	0.671161	−	0.469952i
$494$	2.79277	−	4.83722i	0.125653	−	0.217637i
$495$	6.04231	−	6.62098i	0.271582	−	0.297591i
$496$	−4.45155	−	7.71030i	−0.199880	−	0.346203i
$497$	−2.77881	−	1.29578i	−0.124647	−	0.0581236i
$498$	4.07917	−	4.29757i	0.182792	−	0.192579i
$499$	19.6741	+	23.4466i	0.880732	+	1.04962i	0.998399	+	0.0565620i	$0.0180139\pi$
$499$	19.6741	+	23.4466i	0.880732	+	1.04962i	−0.117668	+	0.993053i	$0.537542\pi$
$500$	−9.03223	−	6.58930i	−0.403934	−	0.294682i
$501$	12.8214	−	23.6078i	0.572819	−	1.05472i
$502$	−2.98635	+	6.40424i	−0.133287	+	0.285835i
$503$	−33.1886	−	8.89285i	−1.47981	−	0.396513i	−0.573524	−	0.819189i	$-0.694424\pi$
$503$	−33.1886	−	8.89285i	−1.47981	−	0.396513i	−0.906281	+	0.422676i	$0.861091\pi$
$504$	−1.46549	−	2.25778i	−0.0652782	−	0.100569i
$505$	−31.4331	+	21.7080i	−1.39875	+	0.965994i
$506$	−0.430629	−	0.0759316i	−0.0191438	−	0.00337557i
$507$	−9.14012	−	18.3374i	−0.405927	−	0.814393i
$508$	1.49103	+	3.19753i	0.0661539	+	0.141867i
$509$	−4.31600	−	24.4773i	−0.191304	−	1.08494i	−0.917585	−	0.397539i	$-0.869864\pi$
$509$	−4.31600	−	24.4773i	−0.191304	−	1.08494i	0.726282	−	0.687397i	$-0.241247\pi$
$510$	−13.6689	−	4.67382i	−0.605271	−	0.206960i
$511$	3.06460	+	2.57150i	0.135570	+	0.113757i
$512$	−0.707107	−	0.707107i	−0.0312500	−	0.0312500i
$513$	−26.3741	−	4.89740i	−1.16445	−	0.216225i
$514$		−	15.9393i		−	0.703053i
$515$	−17.9122	−	6.65104i	−0.789305	−	0.293080i
$516$	−0.714437	−	1.81430i	−0.0314513	−	0.0798703i
$517$	8.83601	+	6.18704i	0.388607	+	0.272106i
$518$	8.61737	−	4.01835i	0.378626	−	0.176556i
$519$	42.7915	−	8.70100i	1.87834	−	0.381931i
$520$	−1.97277	−	1.40045i	−0.0865118	−	0.0614140i
$521$	−32.7211	−	18.8916i	−1.43354	−	0.827654i	−0.436150	−	0.899874i	$-0.643658\pi$
$521$	−32.7211	−	18.8916i	−1.43354	−	0.827654i	−0.997389	+	0.0722201i	$0.976992\pi$
$522$	−9.00583	−	11.5323i	−0.394174	−	0.504755i
$523$	10.3360	−	38.5745i	0.451962	−	1.68675i	−0.244907	−	0.969547i	$-0.578757\pi$
$523$	10.3360	−	38.5745i	0.451962	−	1.68675i	0.696869	−	0.717199i	$-0.254576\pi$
$524$	−14.4930	+	5.27501i	−0.633129	+	0.230440i
$525$	7.33591	+	2.56149i	0.320165	+	0.111793i
$526$	−15.2498	+	12.7961i	−0.664925	+	0.557938i
$527$	33.0814	+	2.89425i	1.44105	+	0.126076i
$528$	−0.540541	+	2.25040i	−0.0235240	+	0.0979359i
$529$	−7.82984	−	21.5123i	−0.340428	−	0.935317i
$530$	6.56756	−	0.531801i	0.285277	−	0.0230999i
$531$	22.5062	−	29.8527i	0.976684	−	1.29550i
$532$	−1.19883	−	4.47410i	−0.0519760	−	0.193977i
$533$	0.912758	+	1.30355i	0.0395359	+	0.0564632i
$534$	−3.08940	−	15.1937i	−0.133692	−	0.657495i
$535$	−15.2224	−	0.0984733i	−0.658120	−	0.00425737i
$536$	−9.40876	+	1.65902i	−0.406397	+	0.0716587i
$537$	−14.6425	+	33.6651i	−0.631872	+	1.45276i
$538$	−2.08962	−	23.8844i	−0.0900898	−	1.02973i
$539$	8.27786			0.356553
$540$	−3.18118	+	11.1750i	−0.136896	+	0.480894i
$541$	15.8053			0.679525			0.339762	−	0.940511i	$-0.389653\pi$
$541$	15.8053			0.679525			0.339762	+	0.940511i	$0.389653\pi$
$542$	2.74128	+	31.3330i	0.117748	+	1.34587i
$543$	20.1278	−	2.29097i	0.863767	−	0.0983150i
$544$	3.67325	−	0.647694i	0.157489	−	0.0277696i
$545$	27.9822	+	28.3466i	1.19863	+	1.21423i
$546$	1.59446	+	0.533699i	0.0682366	+	0.0228402i
$547$	−5.73556	−	8.19122i	−0.245235	−	0.350231i	0.677598	−	0.735432i	$-0.263021\pi$
$547$	−5.73556	−	8.19122i	−0.245235	−	0.350231i	−0.922833	+	0.385201i	$0.874132\pi$
$548$	−3.70582	−	13.8303i	−0.158305	−	0.590802i
$549$	16.2279	+	8.27317i	0.692592	+	0.353090i
$550$	−2.74498	−	6.09116i	−0.117046	−	0.259728i
$551$	−8.61183	−	23.6608i	−0.366876	−	1.00798i
$552$	0.543483	−	0.160920i	0.0231322	−	0.00684922i
$553$	−14.9657	−	1.30933i	−0.636408	−	0.0556785i
$554$	4.46438	−	3.74606i	0.189673	−	0.159155i
$555$	−37.5305	−	16.6133i	−1.59308	−	0.705194i
$556$	10.1580	−	3.69720i	0.430794	−	0.156796i
$557$	2.15209	−	8.03172i	0.0911871	−	0.340315i	−0.905227	−	0.424929i	$-0.860299\pi$
$557$	2.15209	−	8.03172i	0.0911871	−	0.340315i	0.996414	+	0.0846140i	$0.0269657\pi$
$558$	0.938166	−	26.6928i	0.0397157	−	1.13000i
$559$	1.05485	+	0.609018i	0.0446154	+	0.0257587i
$560$	−1.97800	+	0.335597i	−0.0835859	+	0.0141816i
$561$	−5.71936	−	6.46603i	−0.241472	−	0.272996i
$562$	3.26286	−	1.52150i	0.137635	−	0.0641805i
$563$	31.2395	+	21.8741i	1.31659	+	0.921885i	0.999647	−	0.0265602i	$-0.00845537\pi$
$563$	31.2395	+	21.8741i	1.31659	+	0.921885i	0.316941	+	0.948445i	$0.397344\pi$
$564$	−13.8283	−	2.06825i	−0.582278	−	0.0870892i
$565$	−0.529192	+	1.42519i	−0.0222633	+	0.0599582i
$566$		−	12.6571i		−	0.532016i
$567$	−0.137284	−	8.07392i	−0.00576541	−	0.339073i
$568$	−2.41637	−	2.41637i	−0.101389	−	0.101389i
$569$	11.5102	+	9.65816i	0.482531	+	0.404891i	0.851340	−	0.524614i	$-0.175790\pi$
$569$	11.5102	+	9.65816i	0.482531	+	0.404891i	−0.368810	+	0.929505i	$0.620235\pi$
$570$	−11.1450	+	16.5999i	−0.466813	+	0.695291i
$571$	−3.15997	−	17.9211i	−0.132241	−	0.749974i	−0.976742	−	0.214420i	$-0.931214\pi$
$571$	−3.15997	−	17.9211i	−0.132241	−	0.749974i	0.844501	−	0.535554i	$-0.179897\pi$
$572$	−0.610991	−	1.31027i	−0.0255468	−	0.0547853i
$573$	−32.4232	−	1.98676i	−1.35450	−	0.0829981i
$574$	1.29961	+	0.229156i	0.0542446	+	0.00956479i
$575$	−0.955763	+	1.32807i	−0.0398581	+	0.0553841i
$576$	−0.674193	−	2.92326i	−0.0280914	−	0.121803i
$577$	−15.0337	−	4.02827i	−0.625862	−	0.167699i	−0.0680705	−	0.997681i	$-0.521684\pi$
$577$	−15.0337	−	4.02827i	−0.625862	−	0.167699i	−0.557791	+	0.829981i	$0.688351\pi$
$578$	1.30492	−	2.79841i	0.0542775	−	0.116398i
$579$	−30.8750	+	0.805003i	−1.28312	+	0.0334548i
$580$	−10.5526	+	2.75451i	−0.438171	+	0.114375i
$581$	1.97296	+	2.35129i	0.0818523	+	0.0975478i
$582$	5.69737	+	19.2420i	0.236163	+	0.797605i
$583$	3.56855	+	1.66404i	0.147794	+	0.0689177i
$584$	2.22938	+	3.86140i	0.0922525	+	0.159786i
$585$	−2.79112	−	6.69982i	−0.115399	−	0.277003i
$586$	−4.67809	+	8.10269i	−0.193250	+	0.334719i
$587$	−29.7513	+	20.8321i	−1.22797	+	0.859831i	−0.993671	−	0.112334i	$-0.964167\pi$
$587$	−29.7513	+	20.8321i	−1.22797	+	0.859831i	−0.234296	+	0.972165i	$0.575279\pi$
$588$	−9.60320	+	4.78662i	−0.396029	+	0.197397i
$589$	15.7199	−	43.1901i	0.647728	−	1.77962i
$590$	−13.7765	−	24.2221i	−0.567170	−	0.997210i
$591$	2.65117	+	2.10933i	0.109055	+	0.0867660i
$592$	10.5570	−	0.923614i	0.433888	−	0.0379603i
$593$	−7.15045	+	7.15045i	−0.293634	+	0.293634i	−0.838514	−	0.544880i	$-0.816575\pi$
$593$	−7.15045	+	7.15045i	−0.293634	+	0.293634i	0.544880	+	0.838514i	$0.316575\pi$
$594$	−4.95390	+	4.86488i	−0.203261	+	0.199609i
$595$	3.20636	−	6.76151i	0.131448	−	0.277195i
$596$	2.80675	−	3.34495i	0.114969	−	0.137014i
$597$	−7.74580	−	3.36901i	−0.317014	−	0.137884i
$598$	−0.203083	+	0.290032i	−0.00830467	+	0.0118603i
$599$	22.8455	+	8.31508i	0.933442	+	0.339745i	0.763573	−	0.645722i	$-0.223443\pi$
$599$	22.8455	+	8.31508i	0.933442	+	0.339745i	0.169869	+	0.985467i	$0.445666\pi$
$600$	6.70665	+	5.47913i	0.273798	+	0.223684i
$601$	5.19436	−	29.4587i	0.211882	−	1.20164i	−0.674353	−	0.738409i	$-0.735577\pi$
$601$	5.19436	−	29.4587i	0.211882	−	1.20164i	0.886235	−	0.463236i	$-0.153312\pi$
$602$	0.975664	−	0.261429i	0.0397651	−	0.0106550i
$603$	−26.5723	−	10.7429i	−1.08211	−	0.437484i
$604$	−4.44670	+	2.56730i	−0.180934	+	0.104462i
$605$	−1.92852	+	20.5138i	−0.0784056	+	0.834006i
$606$	25.2313	−	15.4579i	1.02495	−	0.627933i
$607$	−1.64679	+	18.8229i	−0.0668410	+	0.763996i	0.886624	+	0.462492i	$0.153044\pi$
$607$	−1.64679	+	18.8229i	−0.0668410	+	0.763996i	−0.953465	+	0.301505i	$0.902511\pi$
$608$	0.449939	−	5.14283i	0.0182474	−	0.208569i
$609$	6.46319	−	3.95965i	0.261902	−	0.160453i
$610$	10.4566	−	8.65952i	0.423377	−	0.350614i
$611$	7.56401	−	4.36708i	0.306007	−	0.176673i
$612$	10.3740	+	4.19410i	0.419345	+	0.169536i
$613$	3.68786	−	0.988160i	0.148951	−	0.0399114i	−0.183573	−	0.983006i	$-0.558766\pi$
$613$	3.68786	−	0.988160i	0.148951	−	0.0399114i	0.332524	+	0.943095i	$0.392100\pi$
$614$	−2.22193	+	12.6012i	−0.0896697	+	0.508542i
$615$	−2.94434	−	4.87648i	−0.118727	−	0.196639i
$616$	−1.12660	−	0.410048i	−0.0453919	−	0.0165213i
$617$	−17.7178	+	25.3036i	−0.713292	+	1.01869i	0.284899	+	0.958558i	$0.408040\pi$
$617$	−17.7178	+	25.3036i	−0.713292	+	1.01869i	−0.998191	+	0.0601284i	$0.980849\pi$
$618$	13.5721	+	5.90315i	0.545951	+	0.237459i
$619$	8.89621	−	10.6021i	0.357569	−	0.426134i	−0.557032	−	0.830491i	$-0.688060\pi$
$619$	8.89621	−	10.6021i	0.357569	−	0.426134i	0.914601	+	0.404357i	$0.132505\pi$
$620$	−17.9879	−	8.52999i	−0.722411	−	0.342573i
$621$	1.63842	+	0.454972i	0.0657475	+	0.0182574i
$622$	−14.0517	+	14.0517i	−0.563420	+	0.563420i
$623$	8.00108	−	0.700004i	0.320557	−	0.0280451i
$624$	1.46647	+	1.16676i	0.0587059	+	0.0467076i
$625$	−24.9916	−	0.646818i	−0.999665	−	0.0258727i
$626$	−10.4011	+	28.5767i	−0.415710	+	1.14215i
$627$	−10.6933	+	5.32998i	−0.427050	+	0.212859i
$628$	−5.30794	+	3.71666i	−0.211810	+	0.148311i
$629$	−19.7635	+	34.2314i	−0.788023	+	1.36490i
$630$	−5.56533	−	2.29200i	−0.221728	−	0.0913153i
$631$	13.5113	+	23.4023i	0.537878	+	0.931632i	0.999018	+	0.0443048i	$0.0141073\pi$
$631$	13.5113	+	23.4023i	0.537878	+	0.931632i	−0.461140	+	0.887327i	$0.652559\pi$
$632$	−15.1749	−	7.07616i	−0.603624	−	0.281475i
$633$	−1.41033	−	4.76318i	−0.0560557	−	0.189319i
$634$	−0.476560	−	0.567942i	−0.0189266	−	0.0225558i
$635$	6.80645	+	3.98863i	0.270106	+	0.158284i
$636$	−5.10213	+	0.133028i	−0.202312	+	0.00527489i
$637$	2.83267	−	6.07468i	0.112234	−	0.240688i
$638$	−6.29518	−	1.68679i	−0.249229	−	0.0667806i
$639$	−2.30389	−	9.98955i	−0.0911406	−	0.395180i
$640$	−2.19954	−	0.402526i	−0.0869444	−	0.0159112i
$641$	41.5970	+	7.33467i	1.64298	+	0.289702i	0.917261	−	0.398287i	$-0.130395\pi$
$641$	41.5970	+	7.33467i	1.64298	+	0.289702i	0.725721	+	0.687989i	$0.241506\pi$
$642$	11.7694	+	0.721178i	0.464500	+	0.0284626i
$643$	−8.24266	−	17.6764i	−0.325059	−	0.697091i	0.674077	−	0.738661i	$-0.264542\pi$
$643$	−8.24266	−	17.6764i	−0.325059	−	0.697091i	−0.999136	+	0.0415703i	$0.986764\pi$
$644$	0.0509857	+	0.289154i	0.00200912	+	0.0113943i
$645$	−3.61992	−	2.43039i	−0.142534	−	0.0956963i
$646$	14.7506	+	12.3773i	0.580356	+	0.486977i
$647$	19.5310	+	19.5310i	0.767844	+	0.767844i	0.977727	−	0.209883i	$-0.0673082\pi$
$647$	19.5310	+	19.5310i	0.767844	+	0.767844i	−0.209883	+	0.977727i	$0.567308\pi$
$648$	2.93396	−	8.50834i	0.115257	−	0.334239i
$649$		−	16.6520i		−	0.653647i
$650$	−5.40931	−	0.0699885i	−0.212171	−	0.00274517i
$651$	13.6836	+	2.04661i	0.536305	+	0.0802131i
$652$	3.45307	+	2.41786i	0.135233	+	0.0946909i
$653$	−1.09408	+	0.510177i	−0.0428146	+	0.0199648i	−0.443908	−	0.896073i	$-0.646408\pi$
$653$	−1.09408	+	0.510177i	−0.0428146	+	0.0199648i	0.401093	+	0.916037i	$0.368630\pi$
$654$	−20.4413	−	23.1100i	−0.799319	−	0.903672i
$655$	−19.9633	+	28.1216i	−0.780032	+	1.09880i
$656$	1.27376	+	0.735405i	0.0497319	+	0.0287127i
$657$	−0.469844	+	13.3680i	−0.0183303	+	0.521537i
$658$	1.87462	−	6.99619i	0.0730805	−	0.272740i
$659$	8.79668	−	3.20173i	0.342670	−	0.124722i	−0.164952	−	0.986302i	$-0.552747\pi$
$659$	8.79668	−	3.20173i	0.342670	−	0.124722i	0.507622	+	0.861580i	$0.330525\pi$
$660$	1.86497	+	4.82744i	0.0725939	+	0.187908i
$661$	−20.6324	+	17.3127i	−0.802509	+	0.673385i	−0.948807	−	0.315856i	$-0.897709\pi$
$661$	−20.6324	+	17.3127i	−0.802509	+	0.673385i	0.146298	+	0.989241i	$0.453264\pi$
$662$	16.4155	+	1.43617i	0.638007	+	0.0558184i
$663$	−6.70223	+	1.98447i	−0.260293	+	0.0770704i
$664$	1.17003	+	3.21464i	0.0454061	+	0.124752i
$665$	−7.89093	−	6.70874i	−0.305997	−	0.260154i
$666$	28.3235	+	14.4396i	1.09751	+	0.559523i
$667$	0.413101	+	1.54171i	0.0159953	+	0.0596954i
$668$	8.89639	+	12.7054i	0.344212	+	0.491585i
$669$	−24.7567	−	8.28659i	−0.957150	−	0.320378i
$670$	−15.2035	+	15.0080i	−0.587361	+	0.579811i
$671$	7.98990	−	1.40883i	0.308447	−	0.0543875i
$672$	1.54408	−	0.175749i	0.0595642	−	0.00677968i
$673$	−1.48211	−	16.9406i	−0.0571312	−	0.653013i	−0.969734	−	0.244165i	$-0.921486\pi$
$673$	−1.48211	−	16.9406i	−0.0571312	−	0.653013i	0.912603	−	0.408848i	$-0.134069\pi$
$674$	32.0942			1.23622
$675$	8.34666	+	24.6035i	0.321263	+	0.946990i
$676$	11.8294			0.454976
$677$	−2.70584	−	30.9278i	−0.103994	−	1.18865i	−0.851484	−	0.524381i	$-0.824297\pi$
$677$	−2.70584	−	30.9278i	−0.103994	−	1.18865i	0.747490	−	0.664273i	$-0.231259\pi$
$678$	0.469686	−	1.07987i	0.0180382	−	0.0414722i
$679$	−10.2375	+	1.80514i	−0.392879	+	0.0692751i
$680$	5.93555	−	5.85925i	0.227618	−	0.224692i
$681$	−7.88655	−	38.7861i	−0.302213	−	1.48628i
$682$	−6.82355	−	9.74504i	−0.261287	−	0.373157i
$683$	10.3628	+	38.6745i	0.396522	+	1.47984i	0.819172	+	0.573548i	$0.194433\pi$
$683$	10.3628	+	38.6745i	0.396522	+	1.47984i	−0.422650	+	0.906293i	$0.638900\pi$
$684$	9.32335	−	12.3667i	0.356487	−	0.472852i
$685$	−24.3924	−	20.7380i	−0.931985	−	0.792358i
$686$	−4.04916	−	11.1250i	−0.154598	−	0.424753i
$687$	4.40551	−	18.3411i	0.168081	−	0.699758i
$688$	1.12149	+	0.0981179i	0.0427565	+	0.00374071i
$689$	2.44231	−	2.04934i	0.0930445	−	0.0780736i
$690$	0.795496	−	0.986676i	0.0302840	−	0.0375621i
$691$	17.7490	−	6.46009i	0.675202	−	0.245753i	0.0184160	−	0.999830i	$-0.494138\pi$
$691$	17.7490	−	6.46009i	0.675202	−	0.245753i	0.656786	+	0.754077i	$0.271915\pi$
$692$	−6.52515	+	24.3522i	−0.248049	+	0.925731i
$693$	−2.21371	−	2.83474i	−0.0840919	−	0.107683i
$694$	−21.7850	−	12.5775i	−0.826946	−	0.477437i
$695$	13.9921	−	19.7101i	0.530750	−	0.747648i
$696$	8.27846	−	1.68330i	0.313794	−	0.0638052i
$697$	−4.97201	+	2.31848i	−0.188328	+	0.0878188i
$698$	23.0909	+	16.1684i	0.874004	+	0.611984i
$699$	−6.06675	−	15.4064i	−0.229466	−	0.582725i
$700$	−3.21297	+	3.13089i	−0.121439	+	0.118336i
$701$		−	33.0600i		−	1.24866i	−0.781161	−	0.624330i	$-0.785372\pi$
$701$		−	33.0600i		−	1.24866i	0.781161	−	0.624330i	$-0.214628\pi$
$702$	1.87486	+	5.30015i	0.0707622	+	0.200041i
$703$	38.6845	+	38.6845i	1.45901	+	1.45901i
$704$	−1.02360	−	0.858907i	−0.0385786	−	0.0323713i
$705$	−28.0714	+	13.7659i	−1.05723	+	0.518455i
$706$	0.568339	+	3.22321i	0.0213897	+	0.121307i
$707$	6.47794	+	13.8920i	0.243628	+	0.522462i
$708$	9.62890	+	19.3181i	0.361876	+	0.726017i
$709$	0.912124	+	0.160832i	0.0342555	+	0.00604018i	0.190750	−	0.981639i	$-0.438908\pi$
$709$	0.912124	+	0.160832i	0.0342555	+	0.00604018i	−0.156494	+	0.987679i	$0.550019\pi$
$710$	−7.51640	−	1.37554i	−0.282085	−	0.0516229i
$711$	−27.3482	−	42.1333i	−1.02564	−	1.58012i
$712$	8.64656	+	2.31684i	0.324044	+	0.0868272i
$713$	−1.23130	+	2.64052i	−0.0461124	+	0.0988884i
$714$	−2.76642	+	5.09374i	−0.103531	+	0.190628i
$715$	−2.78912	−	1.63445i	−0.104307	−	0.0611249i
$716$	−13.6242	−	16.2367i	−0.509160	−	0.606793i
$717$	17.4523	−	18.3867i	0.651766	−	0.686663i
$718$	−18.7325	−	8.73510i	−0.699090	−	0.325991i
$719$	10.7184	+	18.5648i	0.399729	+	0.692351i	0.993692	−	0.112141i	$-0.0357709\pi$
$719$	10.7184	+	18.5648i	0.399729	+	0.692351i	−0.593963	+	0.804492i	$0.702438\pi$
$720$	−4.95501	−	4.52194i	−0.184662	−	0.168523i
$721$	−3.83341	+	6.63966i	−0.142764	+	0.247274i
$722$	6.26741	−	4.38849i	0.233249	−	0.163323i
$723$	0.356573	−	5.81915i	0.0132611	−	0.216416i
$724$	−4.00021	+	10.9905i	−0.148667	+	0.408458i
$725$	−15.9160	+	18.4771i	−0.591104	+	0.686221i
$726$	2.36082	−	15.7844i	0.0876183	−	0.585815i
$727$	−3.54696	+	0.310319i	−0.131550	+	0.0115091i	−0.152740	−	0.988266i	$-0.548810\pi$
$727$	−3.54696	+	0.310319i	−0.131550	+	0.0115091i	0.0211908	+	0.999775i	$0.493254\pi$
$728$	−0.686432	+	0.686432i	−0.0254409	+	0.0254409i
$729$	20.9944	−	16.9774i	0.777572	−	0.628794i
$730$	9.00854	+	4.27191i	0.333421	+	0.158111i
$731$	−2.69910	+	3.21666i	−0.0998298	+	0.118973i
$732$	−8.45448	+	6.25451i	−0.312487	+	0.231173i
$733$	−18.2373	+	26.0456i	−0.673611	+	0.962016i	0.326249	+	0.945284i	$0.394215\pi$
$733$	−18.2373	+	26.0456i	−0.673611	+	0.962016i	−0.999860	+	0.0167325i	$0.994674\pi$
$734$	3.90819	+	1.42247i	0.144254	+	0.0525042i
$735$	−11.5870	+	21.0097i	−0.427394	+	0.774954i
$736$	−0.0568256	+	0.322274i	−0.00209462	+	0.0118792i
$737$	−12.3311	+	3.30412i	−0.454223	+	0.121709i
$738$	2.07063	+	3.89641i	0.0762209	+	0.143429i
$739$	−32.8067	+	18.9409i	−1.20681	+	0.696754i	−0.962062	−	0.272832i	$-0.912040\pi$
$739$	−32.8067	+	18.9409i	−1.20681	+	0.696754i	−0.244751	+	0.969586i	$0.578706\pi$
$740$	18.2505	−	15.1139i	0.670903	−	0.555598i
$741$	0.252156	+	9.67116i	0.00926318	+	0.355279i
$742$	0.230430	−	2.63383i	0.00845935	−	0.0966908i
$743$	1.10263	−	12.6032i	0.0404517	−	0.462365i	−0.948773	−	0.315959i	$-0.897674\pi$
$743$	1.10263	−	12.6032i	0.0404517	−	0.462365i	0.989225	−	0.146406i	$-0.0467707\pi$
$744$	13.5511	+	7.35961i	0.496806	+	0.269816i
$745$	0.913877	−	9.72097i	0.0334819	−	0.356149i
$746$	7.72276	−	4.45874i	0.282750	−	0.163246i
$747$	−2.13603	+	10.0381i	−0.0781534	+	0.367275i
$748$	4.81417	−	1.28995i	0.176024	−	0.0471654i
$749$	−1.06067	+	6.01537i	−0.0387561	+	0.219797i
$750$	19.3020	+	1.55924i	0.704811	+	0.0569354i
$751$	34.1139	+	12.4164i	1.24483	+	0.453082i	0.878653	−	0.477461i	$-0.158443\pi$
$751$	34.1139	+	12.4164i	1.24483	+	0.453082i	0.366181	+	0.930544i	$0.380665\pi$
$752$	4.63025	−	6.61269i	0.168848	−	0.241140i
$753$	−1.38414	−	12.1607i	−0.0504409	−	0.443159i
$754$	−3.39204	+	4.04248i	−0.123531	+	0.147218i
$755$	−4.91943	+	10.3740i	−0.179036	+	0.377549i
$756$	4.20731	+	2.00853i	0.153018	+	0.0730496i
$757$	−1.14349	+	1.14349i	−0.0415609	+	0.0415609i	−0.727582	−	0.686021i	$-0.759356\pi$
$757$	−1.14349	+	1.14349i	−0.0415609	+	0.0415609i	0.686021	+	0.727582i	$0.259356\pi$
$758$	−4.07554	+	0.356563i	−0.148030	+	0.0129510i
$759$	0.704709	−	0.277500i	0.0255793	−	0.0100726i
$760$	−5.70703	−	10.0342i	−0.207016	−	0.363979i
$761$	−1.01737	+	2.79520i	−0.0368796	+	0.101326i	−0.956766	−	0.290860i	$-0.906059\pi$
$761$	−1.01737	+	2.79520i	−0.0368796	+	0.101326i	0.919886	+	0.392186i	$0.128281\pi$
$762$	−5.09535	−	3.37336i	−0.184585	−	0.122204i
$763$	13.0921	−	9.16717i	0.473965	−	0.331874i
$764$	9.37733	−	16.2420i	0.339260	−	0.587615i
$765$	24.4169	−	5.46518i	0.882795	−	0.197594i
$766$	7.63988	+	13.2327i	0.276040	+	0.478115i
$767$	−12.2200	−	5.69828i	−0.441238	−	0.205753i
$768$	1.68415	+	0.404529i	0.0607715	+	0.0145972i
$769$	12.2665	+	14.6186i	0.442341	+	0.527162i	0.940440	−	0.339958i	$-0.110413\pi$
$769$	12.2665	+	14.6186i	0.442341	+	0.527162i	−0.498099	+	0.867120i	$0.665969\pi$
$770$	−2.59391	+	0.677082i	−0.0934780	+	0.0244004i
$771$	14.4223	+	23.5411i	0.519408	+	0.847811i
$772$	7.53602	−	16.1611i	0.271227	−	0.581649i
$773$	41.4490	+	11.1062i	1.49082	+	0.399463i	0.910013	−	0.414581i	$-0.136072\pi$
$773$	41.4490	+	11.1062i	1.49082	+	0.399463i	0.580804	+	0.814044i	$0.302738\pi$
$774$	2.69680	+	2.03314i	0.0969343	+	0.0730796i
$775$	−43.9355	+	7.16221i	−1.57821	+	0.257274i
$776$	−11.4101	−	2.01190i	−0.409598	−	0.0722232i
$777$	−9.09125	+	13.7320i	−0.326147	+	0.492633i
$778$	11.7490	+	25.1959i	0.421223	+	0.903315i
$779$	1.31851	+	7.47765i	0.0472406	+	0.267915i
$780$	4.18079	+	0.283340i	0.149696	+	0.0101452i
$781$	−3.49792	−	2.93511i	−0.125166	−	0.105026i
$782$	−0.863094	−	0.863094i	−0.0308642	−	0.0308642i
$783$	23.7356	+	8.88354i	0.848242	+	0.317472i
$784$		−	6.19498i		−	0.221249i
$785$	−5.04359	+	13.5831i	−0.180013	+	0.484802i
$786$	16.6320	−	20.9044i	0.593243	−	0.745636i
$787$	−40.2177	−	28.1608i	−1.43361	−	1.00382i	−0.994427	−	0.105423i	$-0.966380\pi$
$787$	−40.2177	−	28.1608i	−1.43361	−	1.00382i	−0.439180	−	0.898399i	$-0.644731\pi$
$788$	−1.77275	+	0.826647i	−0.0631516	+	0.0294481i
$789$	10.9445	−	32.6973i	0.389634	−	1.16406i
$790$	−36.9124	+	6.26272i	−1.31328	+	0.222818i
$791$	0.528287	+	0.305007i	0.0187837	+	0.0108448i
$792$	−1.23788	−	3.81275i	−0.0439863	−	0.135480i
$793$	1.70026	−	6.34546i	0.0603781	−	0.225334i
$794$	−31.7226	+	11.5461i	−1.12579	+	0.409755i
$795$	−9.21856	+	6.72793i	−0.326949	+	0.238615i
$796$	3.73579	−	3.13470i	0.132412	−	0.111107i
$797$	19.3498	+	1.69288i	0.685404	+	0.0599650i	0.424538	−	0.905410i	$-0.360437\pi$
$797$	19.3498	+	1.69288i	0.685404	+	0.0599650i	0.260866	+	0.965375i	$0.415992\pi$
$798$	5.81887	+	5.52315i	0.205986	+	0.195517i
$799$	10.2983	+	28.2943i	0.364327	+	1.00098i
$800$	−4.55850	+	2.05429i	−0.161167	+	0.0726300i
$801$	18.3105	+	19.6445i	0.646968	+	0.694103i
$802$	2.45440	+	9.15996i	0.0866680	+	0.323449i
$803$	3.41731	+	4.88042i	0.120594	+	0.172226i
$804$	12.3949	−	10.9635i	0.437133	−	0.386654i
$805$	0.461233	+	0.467240i	0.0162563	+	0.0164680i
$806$	−9.48637	+	1.67270i	−0.334143	+	0.0589185i
$807$	24.6975	+	33.3846i	0.869392	+	1.17519i
$808$	1.48895	+	17.0188i	0.0523810	+	0.598718i
$809$	−36.3148			−1.27676			−0.638379	−	0.769722i	$-0.720395\pi$
$809$	−36.3148			−1.27676			−0.638379	+	0.769722i	$0.720395\pi$
$810$	−5.41309	−	19.3829i	−0.190197	−	0.681047i
$811$	−24.5432			−0.861827			−0.430914	−	0.902393i	$-0.641809\pi$
$811$	−24.5432			−0.861827			−0.430914	+	0.902393i	$0.641809\pi$
$812$	0.381405	+	4.35948i	0.0133847	+	0.152988i
$813$	−32.3996	−	43.7959i	−1.13630	−	1.53599i
$814$	13.9452	−	2.45891i	0.488779	−	0.0861849i
$815$	9.42576	+	0.0609752i	0.330170	+	0.00213587i
$816$	−4.83904	+	4.28025i	−0.169400	+	0.149839i
$817$	3.33350	+	4.76074i	0.116625	+	0.166557i
$818$	−7.16218	−	26.7296i	−0.250420	−	0.934579i
$819$	−2.83779	+	0.654481i	−0.0991605	+	0.0228694i
$820$	3.27810	−	0.265440i	0.114476	−	0.00926958i
$821$	5.86960	+	16.1266i	0.204851	+	0.562822i	0.998991	−	0.0449121i	$-0.0143008\pi$
$821$	5.86960	+	16.1266i	0.204851	+	0.562822i	−0.794140	+	0.607734i	$0.792079\pi$
$822$	17.9872	+	17.0731i	0.627377	+	0.595493i
$823$	−20.6504	−	1.80668i	−0.719828	−	0.0629768i	−0.278645	−	0.960394i	$-0.589885\pi$
$823$	−20.6504	−	1.80668i	−0.719828	−	0.0629768i	−0.441183	+	0.897417i	$0.645441\pi$
$824$	−6.54583	+	5.49260i	−0.228035	+	0.191344i
$825$	9.56557	+	6.51241i	0.333030	+	0.226733i
$826$	−10.5070	+	3.82422i	−0.365584	+	0.133062i
$827$	0.0537636	−	0.200648i	0.00186954	−	0.00697723i	−0.964985	−	0.262306i	$-0.915517\pi$
$827$	0.0537636	−	0.200648i	0.00186954	−	0.00697723i	0.966854	+	0.255329i	$0.0821837\pi$
$828$	−0.657075	+	0.729424i	−0.0228349	+	0.0253492i
$829$	26.1088	+	15.0739i	0.906795	+	0.523538i	0.879398	−	0.476086i	$-0.157945\pi$
$829$	26.1088	+	15.0739i	0.906795	+	0.523538i	0.0273963	+	0.999625i	$0.491278\pi$
$830$	6.23757	+	4.42800i	0.216509	+	0.153698i
$831$	−3.20398	+	9.57211i	−0.111145	+	0.332053i
$832$	−0.980582	+	0.457253i	−0.0339956	+	0.0158524i
$833$	18.9279	+	13.2535i	0.655815	+	0.459206i
$834$	−11.6572	+	14.6517i	−0.403654	+	0.507346i
$835$	32.5133	+	12.0726i	1.12517	+	0.417790i
$836$		−	6.89820i		−	0.238579i
$837$	22.7668	+	40.2719i	0.786935	+	1.39200i
$838$	1.05256	+	1.05256i	0.0363601	+	0.0363601i
$839$	3.20065	+	2.68567i	0.110499	+	0.0927195i	0.696363	−	0.717690i	$-0.254800\pi$
$839$	3.20065	+	2.68567i	0.110499	+	0.0927195i	−0.585864	+	0.810409i	$0.699245\pi$
$840$	2.61769	−	2.28540i	0.0903190	−	0.0788538i
$841$	−0.904920	−	5.13206i	−0.0312042	−	0.176968i
$842$	−10.5550	−	22.6352i	−0.363749	−	0.780062i
$843$	−3.44229	+	5.19945i	−0.118559	+	0.179079i
$844$	2.82447	+	0.498030i	0.0972221	+	0.0171429i
$845$	21.7653	−	15.0314i	0.748750	−	0.517094i
$846$	22.2947	−	9.45762i	0.766509	−	0.325160i
$847$	7.98584	+	2.13980i	0.274397	+	0.0735244i
$848$	1.24534	−	2.67063i	0.0427650	−	0.0917098i
$849$	11.4524	+	18.6934i	0.393047	+	0.641557i
$850$	3.47581	−	18.3228i	0.119219	−	0.628468i
$851$	−2.22913	−	2.65658i	−0.0764137	−	0.0910663i
$852$	5.75517	+	1.38238i	0.197169	+	0.0473596i
$853$	−3.20011	−	1.49224i	−0.109570	−	0.0510932i	0.367061	−	0.930197i	$-0.380364\pi$
$853$	−3.20011	−	1.49224i	−0.109570	−	0.0510932i	−0.476630	+	0.879104i	$0.658142\pi$
$854$	−2.72387	−	4.71788i	−0.0932088	−	0.161442i
$855$	1.44027	−	34.6009i	0.0492563	−	1.18333i
$856$	−3.40390	+	5.89572i	−0.116343	+	0.201512i
$857$	8.83037	−	6.18309i	0.301640	−	0.211210i	−0.412951	−	0.910753i	$-0.635502\pi$
$857$	8.83037	−	6.18309i	0.301640	−	0.211210i	0.714591	+	0.699543i	$0.246613\pi$
$858$	2.08796	+	1.38233i	0.0712816	+	0.0471918i
$859$	4.16152	−	11.4337i	0.141989	−	0.390113i	−0.848231	−	0.529627i	$-0.822332\pi$
$859$	4.16152	−	11.4337i	0.141989	−	0.390113i	0.990220	+	0.139514i	$0.0445542\pi$
$860$	2.18815	−	1.24453i	0.0746154	−	0.0424380i
$861$	−2.12676	+	0.837476i	−0.0724798	+	0.0285411i
$862$	−20.7738	+	1.81747i	−0.707558	+	0.0619033i
$863$	−13.6586	+	13.6586i	−0.464945	+	0.464945i	−0.900272	−	0.435328i	$-0.856633\pi$
$863$	−13.6586	+	13.6586i	−0.464945	+	0.464945i	0.435328	+	0.900272i	$0.356633\pi$
$864$	3.64078	+	3.70739i	0.123862	+	0.126128i
$865$	18.9380	+	53.0979i	0.643910	+	1.80538i
$866$	21.7686	−	25.9428i	0.739728	−	0.881574i
$867$	0.604817	+	5.31374i	0.0205407	+	0.180464i
$868$	−4.58181	+	6.54350i	−0.155517	+	0.222101i
$869$	−21.0239	−	7.65208i	−0.713188	−	0.259579i
$870$	13.0929	−	13.6164i	0.443891	−	0.461640i
$871$	−1.79498	+	10.1798i	−0.0608205	+	0.344930i
$872$	17.2061	−	4.61037i	0.582673	−	0.156127i
$873$	−25.8252	−	23.2637i	−0.874050	−	0.787356i
$874$	−1.46306	+	0.844698i	−0.0494887	+	0.0285723i
$875$	−1.93330	+	9.84329i	−0.0653576	+	0.332764i
$876$	−6.78652	−	3.68577i	−0.229295	−	0.124531i
$877$	−2.27806	+	26.0383i	−0.0769245	+	0.879251i	0.855480	+	0.517835i	$0.173262\pi$
$877$	−2.27806	+	26.0383i	−0.0769245	+	0.879251i	−0.932405	+	0.361416i	$0.882294\pi$
$878$	−0.0411117	+	0.469909i	−0.00138745	+	0.0158587i
$879$	−0.422379	−	16.1999i	−0.0142465	−	0.546409i
$880$	−2.97477	−	0.279660i	−0.100279	−	0.00942734i
$881$	−19.2790	+	11.1307i	−0.649524	+	0.375003i	−0.788274	−	0.615324i	$-0.789025\pi$
$881$	−19.2790	+	11.1307i	−0.649524	+	0.375003i	0.138750	+	0.990327i	$0.455692\pi$
$882$	9.85207	−	15.7587i	0.331736	−	0.530623i
$883$	21.0877	−	5.65042i	0.709656	−	0.190152i	0.114104	−	0.993469i	$-0.463600\pi$
$883$	21.0877	−	5.65042i	0.709656	−	0.190152i	0.595552	+	0.803317i	$0.296933\pi$
$884$	0.700774	−	3.97428i	0.0235696	−	0.133670i
$885$	42.2637	+	23.3088i	1.42068	+	0.783515i
$886$	−16.7778	−	6.10662i	−0.563661	−	0.205156i
$887$	−2.93156	+	4.18671i	−0.0984323	+	0.140576i	−0.865347	−	0.501173i	$-0.832902\pi$
$887$	−2.93156	+	4.18671i	−0.0984323	+	0.140576i	0.766915	+	0.641749i	$0.221791\pi$
$888$	−14.7561	+	10.9163i	−0.495181	+	0.366328i
$889$	2.03475	−	2.42492i	0.0682433	−	0.0813292i
$890$	18.8531	−	6.72418i	0.631957	−	0.225395i
$891$	2.91462	−	11.6675i	0.0976434	−	0.390874i
$892$	10.6580	−	10.6580i	0.356857	−	0.356857i
$893$	41.5160	−	3.63218i	1.38928	−	0.121546i
$894$	−1.11873	+	7.47984i	−0.0374160	+	0.250163i
$895$	−45.6993	−	12.5625i	−1.52756	−	0.419918i
$896$	−0.306871	+	0.843122i	−0.0102519	+	0.0281667i
$897$	0.0375075	−	0.612109i	0.00125234	−	0.0204377i
$898$	−13.1788	+	9.22786i	−0.439781	+	0.307938i
$899$	−21.7118	+	37.6060i	−0.724131	+	1.25423i
$900$	−14.8628	−	2.02386i	−0.495428	−	0.0674619i
$901$	5.49551	+	9.51849i	0.183082	+	0.317107i
$902$	1.78119	+	0.830583i	0.0593072	+	0.0276554i
$903$	−1.20443	+	1.26892i	−0.0400809	+	0.0422269i
$904$	0.437021	+	0.520821i	0.0145351	+	0.0173223i
$905$	6.60525	+	25.3048i	0.219566	+	0.841160i
$906$	4.24444	−	7.81519i	0.141012	−	0.259642i
$907$	−9.22305	+	19.7789i	−0.306246	+	0.656747i	−0.997851	−	0.0655293i	$-0.979126\pi$
$907$	−9.22305	+	19.7789i	−0.306246	+	0.656747i	0.691604	+	0.722277i	$0.256904\pi$
$908$	22.0727	+	5.91437i	0.732509	+	0.196275i
$909$	−23.2779	+	45.6600i	−0.772080	+	1.51445i
$910$	−0.390757	+	2.13523i	−0.0129535	+	0.0707821i
$911$	−49.7438	−	8.77118i	−1.64809	−	0.290602i	−0.728957	−	0.684559i	$-0.759995\pi$
$911$	−49.7438	−	8.77118i	−1.64809	−	0.290602i	−0.919129	+	0.393957i	$0.871106\pi$
$912$	3.98885	+	8.00265i	0.132084	+	0.264994i
$913$	1.93185	+	4.14287i	0.0639349	+	0.137109i
$914$	−2.77275	−	15.7250i	−0.0917143	−	0.520138i
$915$	−7.60824	+	22.2509i	−0.251521	+	0.735591i
$916$	8.34257	+	7.00025i	0.275646	+	0.231295i
$917$	9.78502	+	9.78502i	0.323130	+	0.323130i
$918$	−19.1165	+	3.19235i	−0.630939	+	0.105363i
$919$		−	28.1849i		−	0.929736i	−0.885380	−	0.464868i	$-0.846102\pi$
$919$		−	28.1849i		−	0.929736i	0.885380	−	0.464868i	$-0.153898\pi$
$920$	0.304952	+	0.665171i	0.0100540	+	0.0219300i
$921$	−8.12028	−	20.6214i	−0.267572	−	0.679497i
$922$	22.1302	+	15.4957i	0.728818	+	0.510324i
$923$	−3.35090	+	1.56255i	−0.110296	+	0.0514320i
$924$	2.03492	−	0.413769i	0.0669438	−	0.0136120i
$925$	14.3749	−	50.9992i	0.472644	−	1.67684i
$926$	−0.0693205	−	0.0400222i	−0.00227801	−	0.00131521i
$927$	−25.3862	+	3.56196i	−0.833794	+	0.116990i
$928$	−1.26236	+	4.71118i	−0.0414389	+	0.154652i
$929$	37.8692	−	13.7833i	1.24245	−	0.452214i	0.364605	−	0.931162i	$-0.381204\pi$
$929$	37.8692	−	13.7833i	1.24245	−	0.452214i	0.877843	+	0.478948i	$0.158982\pi$
$930$	34.2848	−	3.67785i	1.12424	−	0.120601i
$931$	24.4992	−	20.5572i	0.802927	−	0.673736i
$932$	9.52333	+	0.833183i	0.311947	+	0.0272918i
$933$	8.03882	−	33.4675i	0.263179	−	1.09568i
$934$	−7.14062	−	19.6187i	−0.233648	−	0.641943i
$935$	7.21866	−	8.49071i	0.236075	−	0.277676i
$936$	−3.22157	−	0.396298i	−0.105300	−	0.0129534i
$937$	−11.3207	−	42.2493i	−0.369830	−	1.38022i	−0.860754	−	0.509022i	$-0.830007\pi$
$937$	−11.3207	−	42.2493i	−0.369830	−	1.38022i	0.490923	−	0.871203i	$-0.336659\pi$
$938$	4.91674	+	7.02183i	0.160537	+	0.229271i
$939$	−10.4954	−	51.6166i	−0.342506	−	1.68444i
$940$	0.116769	−	18.0505i	0.00380857	−	0.588743i
$941$	−13.1370	+	2.31641i	−0.428255	+	0.0755129i	−0.383621	−	0.923491i	$-0.625323\pi$
$941$	−13.1370	+	2.31641i	−0.428255	+	0.0755129i	−0.0446337	+	0.999003i	$0.514212\pi$
$942$	4.47645	−	10.2920i	0.145851	−	0.335330i
$943$	−0.0419494	−	0.479484i	−0.00136606	−	0.0156142i
$944$	−12.4620			−0.405603
$945$	10.2934	−	1.65057i	0.334844	−	0.0536930i
$946$	1.50429			0.0489086
$947$	−1.50920	−	17.2503i	−0.0490425	−	0.560559i	−0.980475	−	0.196644i	$-0.936996\pi$
$947$	−1.50920	−	17.2503i	−0.0490425	−	0.560559i	0.931432	−	0.363914i	$-0.118560\pi$
$948$	28.8148	−	3.27973i	0.935860	−	0.106521i
$949$	4.75088	−	0.837708i	0.154220	−	0.0271932i
$950$	−23.2508	−	11.2105i	−0.754357	−	0.363717i
$951$	1.21773	+	0.407599i	0.0394876	+	0.0132173i
$952$	−1.91953	−	2.74138i	−0.0622124	−	0.0888485i
$953$	6.38908	+	23.8444i	0.206963	+	0.772395i	0.988842	+	0.148966i	$0.0475944\pi$
$953$	6.38908	+	23.8444i	0.206963	+	0.772395i	−0.781880	+	0.623429i	$0.785739\pi$
$954$	7.41506	−	4.81301i	0.240071	−	0.155827i
$955$	−3.38470	−	41.7999i	−0.109526	−	1.35261i
$956$	5.00586	+	13.7535i	0.161901	+	0.444820i
$957$	10.8237	−	3.20480i	0.349881	−	0.103597i
$958$	13.4527	+	1.17696i	0.434638	+	0.0380259i
$959$	−9.84117	+	8.25772i	−0.317788	+	0.266656i
$960$	3.61276	−	1.39571i	0.116601	−	0.0450462i
$961$	−45.3543	+	16.5076i	−1.46304	+	0.532503i
$962$	2.96756	−	11.0751i	0.0956778	−	0.357075i
$963$	−18.0349	+	9.58412i	−0.581167	+	0.308844i
$964$	2.91503	+	1.68299i	0.0938868	+	0.0542056i
$965$	−6.66971	−	39.3112i	−0.214706	−	1.26547i
$966$	−0.336937	−	0.380924i	−0.0108408	−	0.0122560i
$967$	23.1494	−	10.7948i	0.744435	−	0.347136i	−0.0131138	−	0.999914i	$-0.504174\pi$
$967$	23.1494	−	10.7948i	0.744435	−	0.347136i	0.757549	+	0.652778i	$0.226397\pi$
$968$	7.54809	+	5.28523i	0.242605	+	0.169874i
$969$	−32.9848	−	4.93341i	−1.05962	−	0.158484i
$970$	−23.5503	+	10.7968i	−0.756155	+	0.346664i
$971$			31.8579i			1.02237i	0.859471	+	0.511185i	$0.170793\pi$
$971$			31.8579i			1.02237i	−0.859471	+	0.511185i	$0.829207\pi$
$972$	3.36537	+	15.2209i	0.107944	+	0.488209i
$973$	−6.85821	−	6.85821i	−0.219864	−	0.219864i
$974$	20.0707	+	16.8413i	0.643108	+	0.539631i
$975$	8.05243	−	4.79112i	0.257884	−	0.153439i
$976$	−1.05434	−	5.97947i	−0.0337487	−	0.191398i
$977$	−24.3580	−	52.2358i	−0.779280	−	1.67117i	−0.740624	−	0.671919i	$-0.765470\pi$
$977$	−24.3580	−	52.2358i	−0.779280	−	1.67117i	−0.0386561	−	0.999253i	$-0.512308\pi$
$978$	−7.28765	−	0.446557i	−0.233033	−	0.0142793i
$979$	11.7796	+	2.07706i	0.376477	+	0.0663830i
$980$	−7.87183	−	11.3984i	−0.251456	−	0.364108i
$981$	51.1007	+	15.6357i	1.63152	+	0.499209i
$982$	1.33477	+	0.357651i	0.0425943	+	0.0114131i
$983$	−1.24883	+	2.67813i	−0.0398315	+	0.0854189i	−0.925217	−	0.379439i	$-0.876117\pi$
$983$	−1.24883	+	2.67813i	−0.0398315	+	0.0854189i	0.885385	+	0.464858i	$0.153895\pi$
$984$	−2.54665	+	0.0663988i	−0.0811843	+	0.00211672i
$985$	−2.21135	+	3.77358i	−0.0704593	+	0.120236i
$986$	−11.6937	−	13.9360i	−0.372404	−	0.443814i
$987$	3.56168	+	12.0290i	0.113370	+	0.382888i
$988$	−5.06222	−	2.36055i	−0.161051	−	0.0750992i
$989$	−0.184203	−	0.319048i	−0.00585730	−	0.0101451i
$990$	−7.12241	−	5.44226i	−0.226365	−	0.172966i
$991$	−21.5167	+	37.2680i	−0.683500	+	1.18386i	0.290405	+	0.956904i	$0.406210\pi$
$991$	−21.5167	+	37.2680i	−0.683500	+	1.18386i	−0.973906	+	0.226954i	$0.927123\pi$
$992$	−7.29298	+	5.10660i	−0.231552	+	0.162135i
$993$	−25.5439	+	12.7321i	−0.810610	+	0.404041i
$994$	−1.04866	+	2.88117i	−0.0332614	+	0.0913851i
$995$	2.89042	−	10.5147i	0.0916326	−	0.333337i
$996$	−4.63674	−	3.68908i	−0.146921	−	0.116893i
$997$	−29.7938	+	2.60662i	−0.943580	+	0.0825526i	−0.548552	−	0.836116i	$-0.684821\pi$
$997$	−29.7938	+	2.60662i	−0.943580	+	0.0825526i	−0.395028	+	0.918669i	$0.629265\pi$
$998$	21.6427	−	21.6427i	0.685088	−	0.685088i
$999$	−54.8968	+	4.30177i	−1.73686	+	0.136102i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	270.2.r.a.173.7	yes	216
3.2	odd	2		810.2.s.a.683.16		216
5.2	odd	4	inner	270.2.r.a.227.17	yes	216
15.2	even	4		810.2.s.a.197.4		216
27.5	odd	18	inner	270.2.r.a.113.17	✓	216
27.22	even	9		810.2.s.a.773.4		216
135.22	odd	36		810.2.s.a.287.16		216
135.32	even	36	inner	270.2.r.a.167.7	yes	216

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
270.2.r.a.113.17	✓	216	27.5	odd	18	inner
270.2.r.a.167.7	yes	216	135.32	even	36	inner
270.2.r.a.173.7	yes	216	1.1	even	1	trivial
270.2.r.a.227.17	yes	216	5.2	odd	4	inner
810.2.s.a.197.4		216	15.2	even	4
810.2.s.a.287.16		216	135.22	odd	36
810.2.s.a.683.16		216	3.2	odd	2
810.2.s.a.773.4		216	27.22	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:	\( N \)	\(=\)	\( 270 = 2 \cdot 3^{3} \cdot 5 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	270.r (of order \(36\), degree \(12\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.0871557 - 0.996195i) q^{2} +(1.03011 + 1.39244i) q^{3} +(-0.984808 + 0.173648i) q^{4} +(-1.59133 + 1.57088i) q^{5} +(1.29736 - 1.14755i) q^{6} +(0.514631 + 0.734969i) q^{7} +(0.258819 + 0.965926i) q^{8} +(-0.877763 + 2.86872i) q^{9} +(1.70359 + 1.44837i) q^{10} +(0.457015 + 1.25564i) q^{11} +(-1.25625 - 1.19241i) q^{12} +(1.07783 + 0.0942983i) q^{13} +(0.687319 - 0.576729i) q^{14} +(-3.82659 - 0.597662i) q^{15} +(0.939693 - 0.342020i) q^{16} +(-0.965374 + 3.60283i) q^{17} +(2.93430 + 0.624397i) q^{18} +(4.47083 + 2.58124i) q^{19} +(1.29438 - 1.82334i) q^{20} +(-0.493274 + 1.47369i) q^{21} +(1.21103 - 0.564712i) q^{22} +(-0.268064 - 0.187700i) q^{23} +(-1.07838 + 1.35540i) q^{24} +(0.0646872 - 4.99958i) q^{25} -1.08195i q^{26} +(-4.89870 + 1.73285i) q^{27} +(-0.634439 - 0.634439i) q^{28} +(-3.73628 - 3.13512i) q^{29} +(-0.261878 + 3.86412i) q^{30} +(-1.54601 - 8.76783i) q^{31} +(-0.422618 - 0.906308i) q^{32} +(-1.27762 + 1.92980i) q^{33} +(3.67325 + 0.647694i) q^{34} +(-1.97350 - 0.361159i) q^{35} +(0.366280 - 2.97756i) q^{36} +(10.2362 + 2.74278i) q^{37} +(2.18175 - 4.67879i) q^{38} +(0.978980 + 1.59795i) q^{39} +(-1.92922 - 1.13054i) q^{40} +(0.945418 + 1.12671i) q^{41} +(1.51107 + 0.362957i) q^{42} +(1.02030 + 0.475774i) q^{43} +(-0.668111 - 1.15720i) q^{44} +(-3.10959 - 5.94394i) q^{45} +(-0.163623 + 0.283403i) q^{46} +(6.61269 - 4.63025i) q^{47} +(1.44422 + 0.956146i) q^{48} +(2.11881 - 5.82137i) q^{49} +(-4.98619 + 0.371301i) q^{50} +(-6.01115 + 2.36707i) q^{51} +(-1.07783 + 0.0942983i) q^{52} +(2.08364 - 2.08364i) q^{53} +(2.15321 + 4.72903i) q^{54} +(-2.69972 - 1.28022i) q^{55} +(-0.576729 + 0.687319i) q^{56} +(1.01122 + 8.88430i) q^{57} +(-2.79755 + 3.99531i) q^{58} +(-11.7104 - 4.26225i) q^{59} +(3.87224 - 0.0758985i) q^{60} +(1.05434 - 5.97947i) q^{61} +(-8.59972 + 2.30429i) q^{62} +(-2.56014 + 0.831202i) q^{63} +(-0.866025 + 0.500000i) q^{64} +(-1.86333 + 1.54309i) q^{65} +(2.03381 + 1.10457i) q^{66} +(-0.832678 + 9.51755i) q^{67} +(0.325084 - 3.71573i) q^{68} +(-0.0147733 - 0.566613i) q^{69} +(-0.187783 + 1.99746i) q^{70} +(-2.95943 + 1.70863i) q^{71} +(-2.99815 - 0.105375i) q^{72} +(4.30684 - 1.15401i) q^{73} +(1.84020 - 10.4363i) q^{74} +(7.02824 - 5.06003i) q^{75} +(-4.85114 - 1.76567i) q^{76} +(-0.687661 + 0.982082i) q^{77} +(1.50655 - 1.11453i) q^{78} +(-10.7626 + 12.8264i) q^{79} +(-0.958093 + 2.02041i) q^{80} +(-7.45907 - 5.03610i) q^{81} +(1.04002 - 1.04002i) q^{82} +(3.40793 - 0.298155i) q^{83} +(0.229877 - 1.53696i) q^{84} +(-4.12337 - 7.24978i) q^{85} +(0.385038 - 1.05788i) q^{86} +(0.516681 - 8.43204i) q^{87} +(-1.09457 + 0.766425i) q^{88} +(4.47579 - 7.75230i) q^{89} +(-5.65031 + 3.61580i) q^{90} +(0.485381 + 0.840704i) q^{91} +(0.296585 + 0.138300i) q^{92} +(10.6161 - 11.1845i) q^{93} +(-5.18897 - 6.18397i) q^{94} +(-11.1694 + 2.91552i) q^{95} +(0.826635 - 1.52206i) q^{96} +(-4.89650 + 10.5006i) q^{97} +(-5.98389 - 1.60338i) q^{98} +(-4.00322 + 0.208894i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 216 q + 12 q^{6} + 24 q^{11} - 24 q^{20} + 24 q^{23} + 36 q^{25} + 12 q^{27} - 72 q^{30} - 12 q^{33} - 108 q^{35} - 12 q^{36} - 36 q^{38} - 72 q^{41} - 48 q^{42} - 60 q^{45} - 48 q^{47} - 12 q^{48} - 48 q^{50}+ \cdots - 72 q^{97}+O(q^{100}) \) 216 * q + 12 * q^6 + 24 * q^11 - 24 * q^20 + 24 * q^23 + 36 * q^25 + 12 * q^27 - 72 * q^30 - 12 * q^33 - 108 * q^35 - 12 * q^36 - 36 * q^38 - 72 * q^41 - 48 * q^42 - 60 * q^45 - 48 * q^47 - 12 * q^48 - 48 * q^50 - 192 * q^51 - 12 * q^56 - 36 * q^57 + 36 * q^61 + 84 * q^63 + 24 * q^65 - 72 * q^67 + 36 * q^68 - 48 * q^72 - 36 * q^75 - 240 * q^77 + 24 * q^78 - 24 * q^81 - 60 * q^83 + 72 * q^86 - 252 * q^87 - 48 * q^92 - 96 * q^93 - 60 * q^95 - 72 * q^97

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

Related objects

Downloads

Learn more