LMFDB - Embedded newform 755.2.t.a.81.17

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [755,2,Mod(81,755)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(755, base_ring=CyclotomicField(50)) chi = DirichletCharacter(H, H._module([0, 8])) N = Newforms(chi, 2, names="a")

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("755.81"); S:= CuspForms(chi, 2); N := Newforms(S);

Level:	$ N $	$=$	$ 755 = 5 \cdot 151 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	755.t (of order $25$, degree $20$, minimal)

Newform invariants

comment:select newform

sage:traces = [520,0,0,-140,0,-5,0,0,0,-5] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(10)] == traces)

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

Self dual:	no
Analytic conductor:	$6.02870535261$
Analytic rank:	$0$
Dimension:	$520$
Relative dimension:	$26$ over $\Q(\zeta_{25})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{25}]$

Embedding invariants

Embedding label			81.17
Character	$\chi$	$=$	755.81
Dual form			755.2.t.a.261.17

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(0.715742 + 0.520017i) q^{2} +(-1.38091 + 0.174450i) q^{3} +(-0.376165 - 1.15772i) q^{4} +(0.968583 - 0.248690i) q^{5} +(-1.07910 - 0.593238i) q^{6} +(-2.80902 + 3.39553i) q^{7} +(0.879574 - 2.70705i) q^{8} +(-1.02926 + 0.264268i) q^{9} +(0.822578 + 0.325682i) q^{10} +(5.00268 + 0.631985i) q^{11} +(0.721416 + 1.53309i) q^{12} +(0.694236 - 3.63931i) q^{13} +(-3.77627 + 0.969581i) q^{14} +(-1.29415 + 0.512389i) q^{15} +(0.0676324 - 0.0491378i) q^{16} +(3.17449 + 3.83730i) q^{17} +(-0.874106 - 0.346083i) q^{18} +(0.905172 + 2.78583i) q^{19} +(-0.652260 - 1.02780i) q^{20} +(3.28667 - 5.17897i) q^{21} +(3.25198 + 3.05381i) q^{22} +(2.04424 + 6.29151i) q^{23} +(-0.742371 + 3.89165i) q^{24} +(0.876307 - 0.481754i) q^{25} +(2.38940 - 2.24379i) q^{26} +(5.25765 - 2.08165i) q^{27} +(4.98772 + 1.97478i) q^{28} +(0.807541 + 0.758331i) q^{29} +(-1.19273 - 0.306240i) q^{30} +(-0.393524 - 6.25488i) q^{31} -5.61876 q^{32} -7.01852 q^{33} +(0.276655 + 4.39730i) q^{34} +(-1.87634 + 3.98743i) q^{35} +(0.693118 + 1.09218i) q^{36} +(0.513110 - 2.68982i) q^{37} +(-0.800811 + 2.46464i) q^{38} +(-0.323802 + 5.14669i) q^{39} +(0.178724 - 2.84074i) q^{40} +(9.53277 + 5.24069i) q^{41} +(5.04556 - 1.99768i) q^{42} +(6.98457 + 8.44290i) q^{43} +(-1.15017 - 6.02941i) q^{44} +(-0.931200 + 0.511931i) q^{45} +(-1.80855 + 5.56614i) q^{46} +(11.4252 + 6.28105i) q^{47} +(-0.0848225 + 0.0796536i) q^{48} +(-2.32732 - 12.2002i) q^{49} +(0.877729 + 0.110883i) q^{50} +(-5.05312 - 4.74519i) q^{51} +(-4.47444 + 0.565253i) q^{52} +(-2.05028 + 4.35706i) q^{53} +(4.84562 + 1.24414i) q^{54} +(5.00268 - 0.631985i) q^{55} +(6.72112 + 10.5908i) q^{56} +(-1.73595 - 3.68909i) q^{57} +(0.183646 + 0.962704i) q^{58} +(-0.361379 + 0.262557i) q^{59} +(1.08001 + 1.30551i) q^{60} +(-12.2163 - 1.54328i) q^{61} +(2.97098 - 4.68152i) q^{62} +(1.99388 - 4.23720i) q^{63} +(-4.15685 - 3.02013i) q^{64} +(-0.232635 - 3.69762i) q^{65} +(-5.02345 - 3.64975i) q^{66} +(-7.95728 - 2.04308i) q^{67} +(3.24838 - 5.11862i) q^{68} +(-3.92047 - 8.33143i) q^{69} +(-3.41650 + 1.87824i) q^{70} +(4.48668 - 5.42347i) q^{71} +(-0.189920 + 3.01869i) q^{72} +(-2.69186 + 3.25390i) q^{73} +(1.76600 - 1.65839i) q^{74} +(-1.12606 + 0.818133i) q^{75} +(2.88471 - 2.09587i) q^{76} +(-16.1986 + 15.2115i) q^{77} +(-2.90812 + 3.51532i) q^{78} +(0.589279 - 9.36633i) q^{79} +(0.0532875 - 0.0644136i) q^{80} +(-4.10363 + 2.25599i) q^{81} +(4.09776 + 8.70818i) q^{82} +(-6.88240 + 10.8449i) q^{83} +(-7.23211 - 1.85689i) q^{84} +(4.02906 + 2.92728i) q^{85} +(0.608701 + 9.67503i) q^{86} +(-1.24744 - 0.906315i) q^{87} +(6.11103 - 12.9866i) q^{88} +(5.59004 - 8.80850i) q^{89} +(-0.932712 - 0.117829i) q^{90} +(10.4073 + 12.5802i) q^{91} +(6.51482 - 4.73330i) q^{92} +(1.63459 + 8.56880i) q^{93} +(4.91123 + 10.4369i) q^{94} +(1.56954 + 2.47320i) q^{95} +(7.75903 - 0.980193i) q^{96} +(-3.24415 - 0.832956i) q^{97} +(4.67857 - 9.94246i) q^{98} +(-5.31605 + 0.671573i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 520 q - 140 q^{4} - 5 q^{6} - 5 q^{10} - 15 q^{11} + 20 q^{13} - 15 q^{14} - 160 q^{16} - 45 q^{17} - 105 q^{18} - 5 q^{20} - 70 q^{23} - 40 q^{24} - 15 q^{26} - 45 q^{27} + 145 q^{28} - 45 q^{29} - 30 q^{31}+ \cdots - 140 q^{99}+O(q^{100}) $ 520 * q - 140 * q^4 - 5 * q^6 - 5 * q^10 - 15 * q^11 + 20 * q^13 - 15 * q^14 - 160 * q^16 - 45 * q^17 - 105 * q^18 - 5 * q^20 - 70 * q^23 - 40 * q^24 - 15 * q^26 - 45 * q^27 + 145 * q^28 - 45 * q^29 - 30 * q^31 - 20 * q^32 + 160 * q^33 + 45 * q^34 - 20 * q^35 - 20 * q^36 - 50 * q^37 + 65 * q^38 + 30 * q^39 + 5 * q^40 - 15 * q^41 + 95 * q^42 - 60 * q^44 - 50 * q^46 + 15 * q^47 + 110 * q^48 - 10 * q^49 - 5 * q^50 - 65 * q^51 - 95 * q^52 + 65 * q^53 + 330 * q^54 - 15 * q^55 + 70 * q^56 - 80 * q^58 - 20 * q^59 + 5 * q^60 - 50 * q^61 - 60 * q^62 - 80 * q^63 - 200 * q^64 - 25 * q^65 - 200 * q^66 - 40 * q^67 + 70 * q^68 - 110 * q^69 - 30 * q^70 - 30 * q^71 - 175 * q^72 - 70 * q^73 - 20 * q^74 - 5 * q^75 + 15 * q^76 + 10 * q^77 - 235 * q^78 + 135 * q^79 + 15 * q^80 + 220 * q^81 + 100 * q^82 - 45 * q^83 - 45 * q^84 + 15 * q^85 + 140 * q^86 - 100 * q^87 + 135 * q^88 - 15 * q^89 - 20 * q^90 - 110 * q^91 - 180 * q^92 - 60 * q^93 - 65 * q^94 + 35 * q^95 - 85 * q^96 - 15 * q^97 + 120 * q^98 - 140 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/755\mathbb{Z}\right)^\times$.

$n$	$6$	$152$
$\chi(n)$	$e\left(\frac{4}{25}\right)$	$1$

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 $

$2$	0.715742	+	0.520017i	0.506106	+	0.367707i	0.811344	−	0.584568i	$-0.198736\pi$
$2$	0.715742	+	0.520017i	0.506106	+	0.367707i	−0.305238	+	0.952276i	$0.598736\pi$
$3$	−1.38091	+	0.174450i	−0.797272	+	0.100719i	−0.513407	−	0.858145i	$-0.671617\pi$
$3$	−1.38091	+	0.174450i	−0.797272	+	0.100719i	−0.283865	+	0.958864i	$0.591617\pi$
$4$	−0.376165	−	1.15772i	−0.188083	−	0.578859i
$5$	0.968583	−	0.248690i	0.433164	−	0.111217i
$5$	0.968583	−	0.248690i	0.433164	−	0.111217i
$6$	−1.07910	−	0.593238i	−0.440539	−	0.242188i
$7$	−2.80902	+	3.39553i	−1.06171	+	1.28339i	−0.104336	+	0.994542i	$0.533272\pi$
$7$	−2.80902	+	3.39553i	−1.06171	+	1.28339i	−0.957375	+	0.288847i	$0.906728\pi$
$8$	0.879574	−	2.70705i	0.310976	−	0.957086i
$9$	−1.02926	+	0.264268i	−0.343085	+	0.0880894i
$10$	0.822578	+	0.325682i	0.260122	+	0.102990i
$11$	5.00268	+	0.631985i	1.50836	+	0.190551i	0.835613	−	0.549319i	$-0.185113\pi$
$11$	5.00268	+	0.631985i	1.50836	+	0.190551i	0.672750	+	0.739869i	$0.265113\pi$
$12$	0.721416	+	1.53309i	0.208255	+	0.442564i
$13$	0.694236	−	3.63931i	0.192546	−	1.00936i	−0.746451	−	0.665440i	$-0.768244\pi$
$13$	0.694236	−	3.63931i	0.192546	−	1.00936i	0.938998	−	0.343923i	$-0.111756\pi$
$14$	−3.77627	+	0.969581i	−1.00925	+	0.259131i
$15$	−1.29415	+	0.512389i	−0.334147	+	0.132298i
$16$	0.0676324	−	0.0491378i	0.0169081	−	0.0122845i
$17$	3.17449	+	3.83730i	0.769927	+	0.930682i	0.999088	−	0.0427068i	$-0.0135981\pi$
$17$	3.17449	+	3.83730i	0.769927	+	0.930682i	−0.229161	+	0.973389i	$0.573598\pi$
$18$	−0.874106	−	0.346083i	−0.206029	−	0.0815725i
$19$	0.905172	+	2.78583i	0.207661	+	0.639114i	0.999594	+	0.0285057i	$0.00907489\pi$
$19$	0.905172	+	2.78583i	0.207661	+	0.639114i	−0.791933	+	0.610608i	$0.790925\pi$
$20$	−0.652260	−	1.02780i	−0.145850	−	0.229822i
$21$	3.28667	−	5.17897i	0.717211	−	1.13014i
$22$	3.25198	+	3.05381i	0.693325	+	0.651075i
$23$	2.04424	+	6.29151i	0.426253	+	1.31187i	0.901790	+	0.432175i	$0.142254\pi$
$23$	2.04424	+	6.29151i	0.426253	+	1.31187i	−0.475537	+	0.879696i	$0.657746\pi$
$24$	−0.742371	+	3.89165i	−0.151536	+	0.794379i
$25$	0.876307	−	0.481754i	0.175261	−	0.0963507i
$26$	2.38940	−	2.24379i	0.468599	−	0.440044i
$27$	5.25765	−	2.08165i	1.01184	−	0.400614i
$28$	4.98772	+	1.97478i	0.942590	+	0.373198i
$29$	0.807541	+	0.758331i	0.149957	+	0.140819i	0.755895	−	0.654693i	$-0.227202\pi$
$29$	0.807541	+	0.758331i	0.149957	+	0.140819i	−0.605938	+	0.795512i	$0.707202\pi$
$30$	−1.19273	−	0.306240i	−0.217761	−	0.0559115i
$31$	−0.393524	−	6.25488i	−0.0706789	−	1.12341i	−0.860291	−	0.509803i	$-0.829718\pi$
$31$	−0.393524	−	6.25488i	−0.0706789	−	1.12341i	0.789612	−	0.613606i	$-0.210282\pi$
$32$	−5.61876			−0.993266
$33$	−7.01852			−1.22177
$34$	0.276655	+	4.39730i	0.0474459	+	0.754131i
$35$	−1.87634	+	3.98743i	−0.317159	+	0.673998i
$36$	0.693118	+	1.09218i	0.115520	+	0.182030i
$37$	0.513110	−	2.68982i	0.0843548	−	0.442203i	−0.914903	−	0.403674i	$-0.867733\pi$
$37$	0.513110	−	2.68982i	0.0843548	−	0.442203i	0.999257	−	0.0385288i	$-0.0122671\pi$
$38$	−0.800811	+	2.46464i	−0.129909	+	0.399818i
$39$	−0.323802	+	5.14669i	−0.0518498	+	0.824130i
$40$	0.178724	−	2.84074i	0.0282588	−	0.449161i
$41$	9.53277	+	5.24069i	1.48877	+	0.818458i	0.998586	−	0.0531618i	$-0.0169299\pi$
$41$	9.53277	+	5.24069i	1.48877	+	0.818458i	0.490183	+	0.871619i	$0.336930\pi$
$42$	5.04556	−	1.99768i	0.778547	−	0.308249i
$43$	6.98457	+	8.44290i	1.06514	+	1.28753i	0.955957	+	0.293508i	$0.0948228\pi$
$43$	6.98457	+	8.44290i	1.06514	+	1.28753i	0.109181	+	0.994022i	$0.465177\pi$
$44$	−1.15017	−	6.02941i	−0.173395	−	0.908968i
$45$	−0.931200	+	0.511931i	−0.138815	+	0.0763142i
$46$	−1.80855	+	5.56614i	−0.266656	+	0.820682i
$47$	11.4252	+	6.28105i	1.66653	+	0.916185i	0.982391	+	0.186837i	$0.0598236\pi$
$47$	11.4252	+	6.28105i	1.66653	+	0.916185i	0.684143	+	0.729348i	$0.260176\pi$
$48$	−0.0848225	+	0.0796536i	−0.0122431	+	0.0114970i
$49$	−2.32732	−	12.2002i	−0.332474	−	1.74289i
$50$	0.877729	+	0.110883i	0.124130	+	0.0156812i
$51$	−5.05312	−	4.74519i	−0.707578	−	0.664460i
$52$	−4.47444	+	0.565253i	−0.620493	+	0.0783865i
$53$	−2.05028	+	4.35706i	−0.281627	+	0.598488i	−0.994725	−	0.102576i	$-0.967291\pi$
$53$	−2.05028	+	4.35706i	−0.281627	+	0.598488i	0.713098	+	0.701064i	$0.247291\pi$
$54$	4.84562	+	1.24414i	0.659405	+	0.169306i
$55$	5.00268	−	0.631985i	0.674561	−	0.0852168i
$56$	6.72112	+	10.5908i	0.898147	+	1.41525i
$57$	−1.73595	−	3.68909i	−0.229933	−	0.488632i
$58$	0.183646	+	0.962704i	0.0241139	+	0.126409i
$59$	−0.361379	+	0.262557i	−0.0470475	+	0.0341820i	−0.611060	−	0.791584i	$-0.709257\pi$
$59$	−0.361379	+	0.262557i	−0.0470475	+	0.0341820i	0.564013	+	0.825766i	$0.309257\pi$
$60$	1.08001	+	1.30551i	0.139429	+	0.168541i
$61$	−12.2163	−	1.54328i	−1.56414	−	0.197597i	−0.704952	−	0.709255i	$-0.749031\pi$
$61$	−12.2163	−	1.54328i	−1.56414	−	0.197597i	−0.859189	+	0.511658i	$0.829031\pi$
$62$	2.97098	−	4.68152i	0.377315	−	0.594553i
$63$	1.99388	−	4.23720i	0.251205	−	0.533838i
$64$	−4.15685	−	3.02013i	−0.519606	−	0.377516i
$65$	−0.232635	−	3.69762i	−0.0288548	−	0.458634i
$66$	−5.02345	−	3.64975i	−0.618344	−	0.449253i
$67$	−7.95728	−	2.04308i	−0.972136	−	0.249602i	−0.270960	−	0.962591i	$-0.587341\pi$
$67$	−7.95728	−	2.04308i	−0.972136	−	0.249602i	−0.701176	+	0.712988i	$0.747341\pi$
$68$	3.24838	−	5.11862i	0.393923	−	0.620724i
$69$	−3.92047	−	8.33143i	−0.471969	−	1.00299i
$70$	−3.41650	+	1.87824i	−0.408350	+	0.224493i
$71$	4.48668	−	5.42347i	0.532471	−	0.643647i	−0.433850	−	0.900985i	$-0.642845\pi$
$71$	4.48668	−	5.42347i	0.532471	−	0.643647i	0.966321	+	0.257338i	$0.0828454\pi$
$72$	−0.189920	+	3.01869i	−0.0223823	+	0.355756i
$73$	−2.69186	+	3.25390i	−0.315059	+	0.380841i	−0.904142	−	0.427232i	$-0.859489\pi$
$73$	−2.69186	+	3.25390i	−0.315059	+	0.380841i	0.589083	+	0.808072i	$0.299489\pi$
$74$	1.76600	−	1.65839i	0.205294	−	0.192784i
$75$	−1.12606	+	0.818133i	−0.130027	+	0.0944698i
$76$	2.88471	−	2.09587i	0.330899	−	0.240412i
$77$	−16.1986	+	15.2115i	−1.84600	+	1.73351i
$78$	−2.90812	+	3.51532i	−0.329280	+	0.398031i
$79$	0.589279	−	9.36633i	0.0662991	−	1.05379i	−0.814457	−	0.580224i	$-0.802965\pi$
$79$	0.589279	−	9.36633i	0.0662991	−	1.05379i	0.880756	−	0.473570i	$-0.157035\pi$
$80$	0.0532875	−	0.0644136i	0.00595773	−	0.00720166i
$81$	−4.10363	+	2.25599i	−0.455959	+	0.250666i
$82$	4.09776	+	8.70818i	0.452522	+	0.961658i
$83$	−6.88240	+	10.8449i	−0.755442	+	1.19039i	0.221140	+	0.975242i	$0.429022\pi$
$83$	−6.88240	+	10.8449i	−0.755442	+	1.19039i	−0.976582	+	0.215144i	$0.930978\pi$
$84$	−7.23211	−	1.85689i	−0.789088	−	0.202603i
$85$	4.02906	+	2.92728i	0.437012	+	0.317508i
$86$	0.608701	+	9.67503i	0.0656380	+	1.04329i
$87$	−1.24744	−	0.906315i	−0.133739	−	0.0971672i
$88$	6.11103	−	12.9866i	0.651438	−	1.38438i
$89$	5.59004	−	8.80850i	0.592544	−	0.933699i	−0.407249	−	0.913317i	$-0.633512\pi$
$89$	5.59004	−	8.80850i	0.592544	−	0.933699i	0.999792	−	0.0203819i	$-0.00648822\pi$
$90$	−0.932712	−	0.117829i	−0.0983164	−	0.0124203i
$91$	10.4073	+	12.5802i	1.09098	+	1.31876i
$92$	6.51482	−	4.73330i	0.679217	−	0.493480i
$93$	1.63459	+	8.56880i	0.169499	+	0.888543i
$94$	4.91123	+	10.4369i	0.506555	+	1.07648i
$95$	1.56954	+	2.47320i	0.161032	+	0.253745i
$96$	7.75903	−	0.980193i	0.791903	−	0.100041i
$97$	−3.24415	−	0.832956i	−0.329393	−	0.0845738i	0.0803717	−	0.996765i	$-0.474389\pi$
$97$	−3.24415	−	0.832956i	−0.329393	−	0.0845738i	−0.409765	+	0.912191i	$0.634389\pi$
$98$	4.67857	−	9.94246i	0.472607	−	1.00434i
$99$	−5.31605	+	0.671573i	−0.534283	+	0.0674956i
$100$	−0.887371	−	0.833296i	−0.0887371	−	0.0833296i
$101$	−9.74223	−	1.23073i	−0.969388	−	0.122462i	−0.375336	−	0.926889i	$-0.622473\pi$
$101$	−9.74223	−	1.23073i	−0.969388	−	0.122462i	−0.594052	+	0.804427i	$0.702473\pi$
$102$	−1.14915	−	6.02404i	−0.113783	−	0.596469i
$103$	−7.47571	+	7.02016i	−0.736604	+	0.691717i	−0.959053	−	0.283227i	$-0.908595\pi$
$103$	−7.47571	+	7.02016i	−0.736604	+	0.691717i	0.222449	+	0.974944i	$0.428595\pi$
$104$	−9.24116	−	5.08037i	−0.906170	−	0.498171i
$105$	1.89546	−	5.83362i	0.184978	−	0.569303i
$106$	−3.73321	+	2.05235i	−0.362602	+	0.199342i
$107$	−1.70335	−	8.92929i	−0.164669	−	0.863227i	−0.964717	−	0.263290i	$-0.915192\pi$
$107$	−1.70335	−	8.92929i	−0.164669	−	0.863227i	0.800047	−	0.599937i	$-0.204808\pi$
$108$	−4.38771	−	5.30383i	−0.422208	−	0.510362i
$109$	4.68407	−	1.85456i	0.448653	−	0.177634i	−0.132923	−	0.991126i	$-0.542436\pi$
$109$	4.68407	−	1.85456i	0.448653	−	0.177634i	0.581576	+	0.813492i	$0.302436\pi$
$110$	3.90927	+	2.14914i	0.372734	+	0.204912i
$111$	−0.239322	+	3.80392i	−0.0227155	+	0.361052i
$112$	−0.0231323	+	0.367677i	−0.00218580	+	0.0347422i
$113$	−3.01076	+	9.26616i	−0.283228	+	0.871687i	0.703696	+	0.710501i	$0.251532\pi$
$113$	−3.01076	+	9.26616i	−0.283228	+	0.871687i	−0.986924	+	0.161186i	$0.948468\pi$
$114$	0.675894	−	3.54316i	0.0633033	−	0.331847i
$115$	3.54465	+	5.58547i	0.330540	+	0.520848i
$116$	0.574165	−	1.22016i	0.0533098	−	0.113289i
$117$	0.247207	+	3.92925i	0.0228543	+	0.363259i
$118$	−0.395188			−0.0363800
$119$	−21.9469			−2.01187
$120$	0.248765	+	3.95400i	0.0227090	+	0.360949i
$121$	13.9729	+	3.58764i	1.27027	+	0.326149i
$122$	−7.94121	−	7.45729i	−0.718963	−	0.675151i
$123$	−14.0782	−	5.57395i	−1.26939	−	0.502586i
$124$	−7.09335	+	2.80846i	−0.637002	+	0.252207i
$125$	0.728969	−	0.684547i	0.0652009	−	0.0612278i
$126$	3.63052	−	1.99589i	0.323432	−	0.177808i
$127$	1.16852	−	6.12562i	0.103690	−	0.543560i	−0.892096	−	0.451847i	$-0.850765\pi$
$127$	1.16852	−	6.12562i	0.103690	−	0.543560i	0.995785	−	0.0917139i	$-0.0292345\pi$
$128$	2.06787	+	6.36426i	0.182776	+	0.562526i
$129$	−11.1180	−	10.4405i	−0.978882	−	0.919232i
$130$	1.75632	−	2.76752i	0.154040	−	0.242727i
$131$	0.339933	+	0.535649i	0.0297001	+	0.0467999i	0.858854	−	0.512221i	$-0.171177\pi$
$131$	0.339933	+	0.535649i	0.0297001	+	0.0467999i	−0.829154	+	0.559021i	$0.811177\pi$
$132$	2.64012	+	8.12546i	0.229793	+	0.707231i
$133$	−12.0020	−	4.75194i	−1.04071	−	0.412045i
$134$	−4.63292	−	5.60024i	−0.400223	−	0.483787i
$135$	4.57479	−	3.32378i	0.393735	−	0.286065i
$136$	13.1800	−	5.21831i	1.13017	−	0.447467i
$137$	18.3535	−	4.71239i	1.56805	−	0.402607i	0.637998	−	0.770038i	$-0.279763\pi$
$137$	18.3535	−	4.71239i	1.56805	−	0.402607i	0.930051	+	0.367431i	$0.119763\pi$
$138$	1.52644	−	8.00186i	0.129939	−	0.681164i
$139$	5.07538	+	10.7857i	0.430488	+	0.914833i	0.995937	+	0.0900502i	$0.0287028\pi$
$139$	5.07538	+	10.7857i	0.430488	+	0.914833i	−0.565449	+	0.824783i	$0.691297\pi$
$140$	5.32213	+	0.672341i	0.449802	+	0.0568232i
$141$	−16.8729	−	6.68047i	−1.42096	−	0.562597i
$142$	6.03160	−	1.54865i	0.506161	−	0.129960i
$143$	5.77302	−	17.7675i	0.482765	−	1.48580i
$144$	−0.0566255	+	0.0684485i	−0.00471880	+	0.00570404i
$145$	0.970760	+	0.533680i	0.0806172	+	0.0443197i
$146$	−3.61876	+	0.929141i	−0.299491	+	0.0768962i
$147$	5.34216	+	16.4415i	0.440614	+	1.35607i
$148$	−3.30706	+	0.417779i	−0.271839	+	0.0343412i
$149$	−15.4101	−	11.1961i	−1.26244	−	0.917219i	−0.263569	−	0.964641i	$-0.584900\pi$
$149$	−15.4101	−	11.1961i	−1.26244	−	0.917219i	−0.998875	+	0.0474213i	$0.984900\pi$
$150$	−1.23141			−0.100544
$151$	10.8909	−	5.69098i	0.886293	−	0.463125i
$151$	10.8909	−	5.69098i	0.886293	−	0.463125i
$152$	8.33755			0.676265
$153$	−4.28144	−	3.11065i	−0.346134	−	0.251481i
$154$	−19.5042	+	2.46395i	−1.57169	+	0.198551i
$155$	−1.93669	−	5.96050i	−0.155558	−	0.478759i
$156$	6.08021	−	1.56113i	0.486807	−	0.124991i
$157$	−13.1792	−	7.24534i	−1.05182	−	0.578241i	−0.140557	−	0.990073i	$-0.544889\pi$
$157$	−13.1792	−	7.24534i	−1.05182	−	0.578241i	−0.911260	+	0.411831i	$0.864889\pi$
$158$	5.29242	−	6.39744i	0.421042	−	0.508953i
$159$	2.07117	−	6.37440i	0.164254	−	0.505523i
$160$	−5.44224	+	1.39733i	−0.430247	+	0.110469i
$161$	−27.1053	−	10.7318i	−2.13620	−	0.845781i
$162$	−4.11029	−	0.519251i	−0.322935	−	0.0407962i
$163$	−3.73393	−	7.93501i	−0.292464	−	0.621518i	0.703557	−	0.710639i	$-0.251594\pi$
$163$	−3.73393	−	7.93501i	−0.292464	−	0.621518i	−0.996021	+	0.0891211i	$0.971594\pi$
$164$	2.48134	−	13.0076i	0.193760	−	1.01572i
$165$	−6.79802	+	1.74543i	−0.529225	+	0.135882i
$166$	−10.5656	+	4.18321i	−0.820048	+	0.324680i
$167$	13.3566	−	9.70417i	1.03357	−	0.750931i	0.0645482	−	0.997915i	$-0.479439\pi$
$167$	13.3566	−	9.70417i	1.03357	−	0.750931i	0.969020	+	0.246984i	$0.0794394\pi$
$168$	−11.1289	−	13.4525i	−0.858610	−	1.03788i
$169$	−0.675523	−	0.267458i	−0.0519633	−	0.0205737i
$170$	1.36153	+	4.19035i	0.104424	+	0.321385i
$171$	−1.66786	−	2.62813i	−0.127544	−	0.200978i
$172$	7.14714	−	11.2621i	0.544964	−	0.858726i
$173$	0.526965	+	0.494853i	0.0400644	+	0.0376230i	0.704321	−	0.709882i	$-0.251252\pi$
$173$	0.526965	+	0.494853i	0.0400644	+	0.0376230i	−0.664256	+	0.747505i	$0.731252\pi$
$174$	−0.421543	−	1.29738i	−0.0319571	−	0.0983538i
$175$	−0.825759	+	4.32878i	−0.0624215	+	0.327225i
$176$	0.369397	−	0.203078i	0.0278444	−	0.0153076i
$177$	0.453230	−	0.425612i	0.0340669	−	0.0319909i
$178$	8.58160	−	3.39770i	0.643218	−	0.254668i
$179$	6.98712	+	2.76640i	0.522242	+	0.206770i	0.614430	−	0.788971i	$-0.289386\pi$
$179$	6.98712	+	2.76640i	0.522242	+	0.206770i	−0.0921881	+	0.995742i	$0.529386\pi$
$180$	0.942957	+	0.885495i	0.0702838	+	0.0660009i
$181$	0.905029	+	0.232372i	0.0672703	+	0.0172721i	0.282175	−	0.959363i	$-0.408944\pi$
$181$	0.905029	+	0.232372i	0.0672703	+	0.0172721i	−0.214905	+	0.976635i	$0.568944\pi$
$182$	0.906986	+	14.4161i	0.0672303	+	1.06859i
$183$	17.1389			1.26695
$184$	18.8295			1.38813
$185$	−0.171941	−	2.73292i	−0.0126413	−	0.200928i
$186$	−3.28598	+	6.98306i	−0.240940	+	0.512023i
$187$	13.4558	+	21.2030i	0.983988	+	1.55052i
$188$	2.97392	−	15.5898i	0.216895	−	1.13701i
$189$	−7.70057	+	23.6999i	−0.560134	+	1.72392i
$190$	−0.162720	+	2.58636i	−0.0118050	+	0.187635i
$191$	−0.406302	+	6.45798i	−0.0293990	+	0.467283i	0.955594	+	0.294687i	$0.0952155\pi$
$191$	−0.406302	+	6.45798i	−0.0293990	+	0.467283i	−0.984993	+	0.172596i	$0.944785\pi$
$192$	6.26711	+	3.44537i	0.452290	+	0.248648i
$193$	6.43137	−	2.54636i	0.462940	−	0.183291i	−0.125064	−	0.992149i	$-0.539914\pi$
$193$	6.43137	−	2.54636i	0.462940	−	0.183291i	0.588005	+	0.808858i	$0.299914\pi$
$194$	−1.88882	−	2.28319i	−0.135609	−	0.163924i
$195$	0.966300	+	5.06552i	0.0691982	+	0.362749i
$196$	−13.2490	+	7.28368i	−0.946354	+	0.520263i
$197$	2.94845	−	9.07439i	0.210068	−	0.646524i	−0.789399	−	0.613881i	$-0.789608\pi$
$197$	2.94845	−	9.07439i	0.210068	−	0.646524i	0.999467	−	0.0326430i	$-0.0103924\pi$
$198$	−4.15415	−	2.28376i	−0.295222	−	0.162300i
$199$	−5.23327	+	4.91436i	−0.370976	+	0.348370i	−0.847504	−	0.530790i	$-0.821895\pi$
$199$	−5.23327	+	4.91436i	−0.370976	+	0.348370i	0.476527	+	0.879160i	$0.341895\pi$
$200$	−0.533355	−	2.79594i	−0.0377139	−	0.197703i
$201$	11.3447	+	1.43317i	0.800196	+	0.101088i
$202$	−6.33292	−	5.94701i	−0.445583	−	0.418430i
$203$	−4.84334	+	0.611856i	−0.339936	+	0.0429439i
$204$	−3.59279	+	7.63506i	−0.251545	+	0.534561i
$205$	10.5366	+	2.70534i	0.735907	+	0.188949i
$206$	−9.00128	+	1.13713i	−0.627149	+	0.0792273i
$207$	−3.76669	−	5.93535i	−0.261803	−	0.412536i
$208$	−0.131875	−	0.280249i	−0.00914389	−	0.0194317i
$209$	2.76768	+	14.5087i	0.191444	+	1.00359i
$210$	4.39024	−	3.18970i	0.302956	−	0.220110i
$211$	4.61298	+	5.57614i	0.317571	+	0.383877i	0.905009	−	0.425392i	$-0.139864\pi$
$211$	4.61298	+	5.57614i	0.317571	+	0.383877i	−0.587439	+	0.809269i	$0.699864\pi$
$212$	5.81549	+	0.734667i	0.399409	+	0.0504571i
$213$	−5.24960	+	8.27205i	−0.359697	+	0.566791i
$214$	3.42422	−	7.27684i	0.234075	−	0.497435i
$215$	8.86480	+	6.44066i	0.604575	+	0.439249i
$216$	−1.01064	−	16.0637i	−0.0687655	−	1.09300i
$217$	22.3440	+	16.2339i	1.51681	+	1.10203i
$218$	4.31699	+	1.10841i	0.292383	+	0.0750712i
$219$	3.14959	−	4.96296i	0.212830	−	0.335366i
$220$	−2.61349	−	5.55395i	−0.176202	−	0.374447i
$221$	16.1690	−	8.88897i	1.08764	−	0.597937i
$222$	−2.14940	+	2.59817i	−0.144258	+	0.174378i
$223$	−0.650557	+	10.3403i	−0.0435645	+	0.692438i	0.914268	+	0.405110i	$0.132767\pi$
$223$	−0.650557	+	10.3403i	−0.0435645	+	0.692438i	−0.957832	+	0.287328i	$0.907233\pi$
$224$	15.7832	−	19.0787i	1.05456	−	1.27475i
$225$	−0.774632	+	0.727428i	−0.0516421	+	0.0484952i
$226$	−6.97349	+	5.06653i	−0.463869	+	0.337021i
$227$	−12.1626	+	8.83663i	−0.807258	+	0.586507i	−0.913034	−	0.407883i	$-0.866267\pi$
$227$	−12.1626	+	8.83663i	−0.807258	+	0.586507i	0.105776	+	0.994390i	$0.466267\pi$
$228$	−3.61792	+	3.39745i	−0.239602	+	0.225002i
$229$	−8.16665	+	9.87179i	−0.539668	+	0.652346i	−0.967904	−	0.251321i	$-0.919135\pi$
$229$	−8.16665	+	9.87179i	−0.539668	+	0.652346i	0.428236	+	0.903667i	$0.359135\pi$
$230$	−0.367487	+	5.84103i	−0.0242314	+	0.385146i
$231$	19.7152	−	23.8316i	1.29716	−	1.56800i
$232$	2.76313	−	1.51904i	0.181408	−	0.0997302i
$233$	4.37427	+	9.29580i	0.286568	+	0.608988i	0.995338	−	0.0964520i	$-0.0307494\pi$
$233$	4.37427	+	9.29580i	0.286568	+	0.608988i	−0.708770	+	0.705440i	$0.750749\pi$
$234$	−1.86634	+	2.94088i	−0.122006	+	0.192251i
$235$	12.6283	+	3.24239i	0.823778	+	0.211510i
$236$	0.439905	+	0.319610i	0.0286354	+	0.0208048i
$237$	0.820212	+	13.0369i	0.0532785	+	0.846838i
$238$	−15.7083	−	11.4127i	−1.01822	−	0.739778i
$239$	7.79086	−	16.5564i	0.503949	−	1.07095i	−0.477396	−	0.878688i	$-0.658419\pi$
$239$	7.79086	−	16.5564i	0.503949	−	1.07095i	0.981345	−	0.192257i	$-0.0615808\pi$
$240$	−0.0623486	+	0.0982457i	−0.00402459	+	0.00634173i
$241$	−11.2845	−	1.42557i	−0.726900	−	0.0918289i	−0.246830	−	0.969059i	$-0.579389\pi$
$241$	−11.2845	−	1.42557i	−0.726900	−	0.0918289i	−0.480070	+	0.877230i	$0.659389\pi$
$242$	8.13538	+	9.83399i	0.522962	+	0.632153i
$243$	−8.45116	+	6.14013i	−0.542142	+	0.393889i
$244$	2.80867	+	14.7236i	0.179807	+	0.942581i
$245$	−5.28828	−	11.2382i	−0.337856	−	0.717979i
$246$	−7.17780	−	11.3104i	−0.457640	−	0.721125i
$247$	10.7669	−	1.36018i	0.685082	−	0.0865460i
$248$	−17.2784	−	4.43634i	−1.09718	−	0.281708i
$249$	7.61211	−	16.1766i	0.482398	−	1.02515i
$250$	0.877729	−	0.110883i	0.0555125	−	0.00701286i
$251$	−2.30308	−	2.16274i	−0.145369	−	0.136511i	0.608451	−	0.793591i	$-0.291791\pi$
$251$	−2.30308	−	2.16274i	−0.145369	−	0.136511i	−0.753820	+	0.657081i	$0.771791\pi$
$252$	−5.65551	−	0.714457i	−0.356264	−	0.0450066i
$253$	6.25051	+	32.7663i	0.392966	+	2.06000i
$254$	4.02178	−	3.77671i	0.252349	−	0.236972i
$255$	−6.07445	−	3.33946i	−0.380397	−	0.209125i
$256$	−5.00501	+	15.4038i	−0.312813	+	0.962739i
$257$	−15.2667	+	8.39292i	−0.952308	+	0.523536i	−0.880585	−	0.473889i	$-0.842850\pi$
$257$	−15.2667	+	8.39292i	−0.952308	+	0.523536i	−0.0717233	+	0.997425i	$0.522850\pi$
$258$	−2.52838	−	13.2542i	−0.157410	−	0.825171i
$259$	7.69201	+	9.29804i	0.477958	+	0.577752i
$260$	−4.19329	+	1.66024i	−0.260057	+	0.102964i
$261$	−1.03157	−	0.567110i	−0.0638526	−	0.0351032i
$262$	−0.0352421	+	0.560158i	−0.00217727	+	0.0346067i
$263$	1.24885	−	19.8500i	0.0770076	−	1.22400i	−0.749857	−	0.661600i	$-0.769878\pi$
$263$	1.24885	−	19.8500i	0.0770076	−	1.22400i	0.826865	−	0.562401i	$-0.190122\pi$
$264$	−6.17330	+	18.9995i	−0.379941	+	1.16934i
$265$	−0.902307	+	4.73006i	−0.0554283	+	0.290565i
$266$	−6.11926	−	9.64241i	−0.375196	−	0.591214i
$267$	−6.18273	+	13.1390i	−0.378377	+	0.804092i
$268$	0.627940	+	9.98081i	0.0383575	+	0.609675i
$269$	−24.5880			−1.49916			−0.749578	−	0.661916i	$-0.769744\pi$
$269$	−24.5880			−1.49916			−0.749578	+	0.661916i	$0.769744\pi$
$270$	5.00279			0.304460
$271$	0.397386	+	6.31627i	0.0241395	+	0.383686i	0.991485	+	0.130224i	$0.0415695\pi$
$271$	0.397386	+	6.31627i	0.0241395	+	0.383686i	−0.967345	+	0.253463i	$0.918430\pi$
$272$	0.403255	+	0.103538i	0.0244509	+	0.00627793i
$273$	−16.5662	−	15.5567i	−1.00263	−	0.941531i
$274$	15.5869	+	6.17130i	0.941640	+	0.372822i
$275$	4.68834	−	1.85624i	0.282717	−	0.111936i
$276$	−8.17069	+	7.67279i	−0.491818	+	0.461848i
$277$	−8.29206	+	4.55860i	−0.498221	+	0.273899i	−0.710989	−	0.703203i	$-0.751752\pi$
$277$	−8.29206	+	4.55860i	−0.498221	+	0.273899i	0.212767	+	0.977103i	$0.431752\pi$
$278$	−1.97610	+	10.3591i	−0.118519	+	0.621296i
$279$	2.05800	+	6.33388i	0.123209	+	0.379199i
$280$	9.14378	+	8.58658i	0.546445	+	0.513146i
$281$	−8.31570	+	13.1034i	−0.496073	+	0.781686i	−0.996456	−	0.0841183i	$-0.973193\pi$
$281$	−8.31570	+	13.1034i	−0.496073	+	0.781686i	0.500383	+	0.865804i	$0.333193\pi$
$282$	−8.60271	−	13.5557i	−0.512284	−	0.807230i
$283$	−1.01798	−	3.13302i	−0.0605126	−	0.186239i	0.916231	−	0.400652i	$-0.131216\pi$
$283$	−1.01798	−	3.13302i	−0.0605126	−	0.186239i	−0.976743	+	0.214413i	$0.931216\pi$
$284$	−7.96657	−	3.15419i	−0.472729	−	0.187167i
$285$	−2.59886	−	3.14148i	−0.153943	−	0.186085i
$286$	13.3714	−	9.71490i	0.790668	−	0.574454i
$287$	−44.5727	+	17.6476i	−2.63104	+	1.04170i
$288$	5.78314	−	1.48486i	0.340775	−	0.0874962i
$289$	−1.46200	+	7.66406i	−0.0859998	+	0.450827i
$290$	0.417291	+	0.886788i	0.0245042	+	0.0520740i
$291$	4.62520	+	0.584299i	0.271134	+	0.0342522i
$292$	4.77969	+	1.89241i	0.279710	+	0.110745i
$293$	32.1016	−	8.24229i	1.87540	−	0.481520i	0.875398	−	0.483403i	$-0.160599\pi$
$293$	32.1016	−	8.24229i	1.87540	−	0.481520i	0.999998	+	0.00188271i	$0.000599286\pi$
$294$	−4.72624	+	14.5459i	−0.275640	+	0.848332i
$295$	−0.284730	+	0.344180i	−0.0165776	+	0.0200389i
$296$	−6.83015	−	3.75491i	−0.396994	−	0.218249i
$297$	27.6179	−	7.09107i	1.60255	−	0.411466i
$298$	−5.20749	−	16.0270i	−0.301662	−	0.928420i
$299$	24.3160	−	3.07182i	1.40623	−	0.177648i
$300$	1.37075	+	0.995910i	0.0791404	+	0.0574989i
$301$	−48.2879			−2.78327
$302$	10.7545	+	1.59021i	0.618853	+	0.0915061i
$303$	13.6679			0.785200
$304$	0.198109	+	0.143934i	0.0113623	+	0.00825520i
$305$	−12.2163	+	1.54328i	−0.699505	+	0.0883680i
$306$	−1.44682	−	4.45284i	−0.0827090	−	0.254552i
$307$	20.5234	−	5.26950i	1.17133	−	0.300746i	0.387588	−	0.921833i	$-0.373308\pi$
$307$	20.5234	−	5.26950i	1.17133	−	0.300746i	0.783742	+	0.621086i	$0.213308\pi$
$308$	23.7039	+	13.0313i	1.35066	+	0.742529i
$309$	9.09865	−	10.9984i	0.517604	−	0.625676i
$310$	1.71340	−	5.27329i	0.0973144	−	0.299503i
$311$	12.9251	−	3.31860i	0.732914	−	0.188180i	0.136253	−	0.990674i	$-0.456494\pi$
$311$	12.9251	−	3.31860i	0.732914	−	0.188180i	0.596661	+	0.802494i	$0.296494\pi$
$312$	13.6475	+	5.40344i	0.772639	+	0.305909i
$313$	−29.8885	−	3.77580i	−1.68940	−	0.213421i	−0.778964	−	0.627069i	$-0.784254\pi$
$313$	−29.8885	−	3.77580i	−1.68940	−	0.213421i	−0.910437	+	0.413648i	$0.864254\pi$
$314$	−5.66523	−	12.0392i	−0.319707	−	0.679412i
$315$	0.877486	−	4.59994i	0.0494407	−	0.259177i
$316$	−11.0652	+	2.84107i	−0.622468	+	0.159823i
$317$	9.51821	−	3.76853i	0.534596	−	0.211662i	−0.0852861	−	0.996357i	$-0.527180\pi$
$317$	9.51821	−	3.76853i	0.534596	−	0.211662i	0.619882	+	0.784695i	$0.287180\pi$
$318$	4.79722	−	3.48538i	0.269015	−	0.195451i
$319$	3.56061	+	4.30404i	0.199356	+	0.240980i
$320$	−4.77733	−	1.89148i	−0.267061	−	0.105737i
$321$	3.90990	+	12.0334i	0.218230	+	0.671641i
$322$	−13.8197	−	21.7764i	−0.770143	−	1.21355i
$323$	−7.81661	+	12.3170i	−0.434928	+	0.685337i
$324$	4.15544	+	3.90222i	0.230858	+	0.216790i
$325$	−1.14489	−	3.52360i	−0.0635070	−	0.195454i
$326$	1.45381	−	7.62113i	0.0805190	−	0.422095i
$327$	−6.14478	+	3.37812i	−0.339807	+	0.186810i
$328$	22.5716	−	21.1961i	1.24631	−	1.17036i
$329$	−53.4211	+	21.1509i	−2.94520	+	1.16609i
$330$	−5.77328	−	2.28580i	−0.317809	−	0.125829i
$331$	12.8025	+	12.0223i	0.703688	+	0.660807i	0.951376	−	0.308033i	$-0.0996708\pi$
$331$	12.8025	+	12.0223i	0.703688	+	0.660807i	−0.247688	+	0.968840i	$0.579671\pi$
$332$	15.1443	+	3.88839i	0.831151	+	0.213403i
$333$	0.182711	+	2.90411i	0.0100125	+	0.159144i
$334$	14.6062			0.799218
$335$	−8.21538			−0.448854
$336$	−0.0321976	−	0.511766i	−0.00175652	−	0.0279191i
$337$	3.67648	−	7.81292i	0.200271	−	0.425597i	−0.779313	−	0.626635i	$-0.784432\pi$
$337$	3.67648	−	7.81292i	0.200271	−	0.425597i	0.979583	+	0.201038i	$0.0644316\pi$
$338$	−0.344417	−	0.542715i	−0.0187338	−	0.0295198i
$339$	2.54112	−	13.3210i	0.138015	−	0.723498i
$340$	1.87337	−	5.76565i	0.101598	−	0.312686i
$341$	1.98432	−	31.5398i	0.107457	−	1.70798i
$342$	0.172913	−	2.74838i	0.00935008	−	0.148615i
$343$	20.9315	+	11.5072i	1.13020	+	0.621330i
$344$	28.9988	−	11.4814i	1.56351	−	0.619037i
$345$	−5.86924	−	7.09470i	−0.315990	−	0.381966i
$346$	0.119839	+	0.628218i	0.00644259	+	0.0337732i
$347$	−29.4008	+	16.1632i	−1.57832	+	0.867688i	−0.579717	+	0.814818i	$0.696837\pi$
$347$	−29.4008	+	16.1632i	−1.57832	+	0.867688i	−0.998601	+	0.0528698i	$0.983163\pi$
$348$	−0.580015	+	1.78510i	−0.0310921	+	0.0956916i
$349$	17.9492	+	9.86763i	0.960796	+	0.528202i	0.883309	−	0.468791i	$-0.155310\pi$
$349$	17.9492	+	9.86763i	0.960796	+	0.528202i	0.0774873	+	0.996993i	$0.475310\pi$
$350$	−2.84207	+	2.66888i	−0.151915	+	0.142658i
$351$	−3.92573	−	20.5794i	−0.209540	−	1.09845i
$352$	−28.1088	−	3.55097i	−1.49821	−	0.189267i
$353$	19.1151	+	17.9502i	1.01739	+	0.955395i	0.999012	−	0.0444366i	$-0.0141493\pi$
$353$	19.1151	+	17.9502i	1.01739	+	0.955395i	0.0183796	+	0.999831i	$0.494149\pi$
$354$	0.545721	−	0.0689406i	0.0290047	−	0.00366415i
$355$	2.99696	−	6.36887i	0.159062	−	0.338024i
$356$	−12.3005	−	3.15824i	−0.651927	−	0.167386i
$357$	30.3068	−	3.82864i	1.60400	−	0.202633i
$358$	3.56240	+	5.61344i	0.188279	+	0.296680i
$359$	11.3879	+	24.2004i	0.601028	+	1.27725i	0.941506	+	0.336997i	$0.109411\pi$
$359$	11.3879	+	24.2004i	0.601028	+	1.27725i	−0.340477	+	0.940253i	$0.610589\pi$
$360$	0.566765	+	2.97108i	0.0298711	+	0.156590i
$361$	8.42980	−	6.12461i	0.443674	−	0.322348i
$362$	0.526930	+	0.636949i	0.0276948	+	0.0334773i
$363$	−19.9213	−	2.51665i	−1.04560	−	0.132090i
$364$	10.6495	−	16.7809i	0.558184	−	0.879558i
$365$	−1.79808	+	3.82112i	−0.0941158	+	0.200006i
$366$	12.2671	+	8.91254i	0.641209	+	0.465866i
$367$	2.09486	+	33.2969i	0.109351	+	1.73808i	0.545413	+	0.838168i	$0.316373\pi$
$367$	2.09486	+	33.2969i	0.109351	+	1.73808i	−0.436061	+	0.899917i	$0.643627\pi$
$368$	0.447408	+	0.325061i	0.0233228	+	0.0169450i
$369$	−11.1966	−	2.87480i	−0.582872	−	0.149656i
$370$	1.29810	−	2.04547i	0.0674849	−	0.106339i
$371$	−9.03524	−	19.2009i	−0.469086	−	0.996859i
$372$	9.30538	−	5.11567i	0.482461	−	0.265235i
$373$	4.25644	−	5.14515i	0.220390	−	0.266406i	−0.648717	−	0.761030i	$-0.724694\pi$
$373$	4.25644	−	5.14515i	0.220390	−	0.266406i	0.869107	+	0.494624i	$0.164694\pi$
$374$	−1.39501	+	22.1731i	−0.0721345	+	1.14655i
$375$	−0.887224	+	1.07247i	−0.0458161	+	0.0553821i
$376$	27.0524	−	25.4039i	1.39512	−	1.31011i
$377$	3.32043	−	2.41243i	0.171011	−	0.124247i
$378$	−17.8360	+	12.9586i	−0.917384	+	0.666518i
$379$	0.331904	−	0.311678i	0.0170487	−	0.0160098i	−0.675976	−	0.736924i	$-0.736278\pi$
$379$	0.331904	−	0.311678i	0.0170487	−	0.0160098i	0.693025	+	0.720914i	$0.256278\pi$
$380$	2.27286	−	2.74742i	0.116595	−	0.140940i
$381$	−0.545017	+	8.66280i	−0.0279221	+	0.443809i
$382$	−3.64907	+	4.41097i	−0.186703	+	0.225685i
$383$	10.9979	−	6.04614i	0.561965	−	0.308943i	−0.175334	−	0.984509i	$-0.556101\pi$
$383$	10.9979	−	6.04614i	0.561965	−	0.308943i	0.737300	+	0.675566i	$0.236101\pi$
$384$	−3.96580	−	8.42775i	−0.202379	−	0.430077i
$385$	−11.9067	+	18.7620i	−0.606822	+	0.956199i
$386$	5.92735	+	1.52189i	0.301694	+	0.0774619i
$387$	−9.42011	−	6.84411i	−0.478851	−	0.347906i
$388$	0.256008	+	4.06914i	0.0129969	+	0.206579i
$389$	−12.5091	−	9.08838i	−0.634235	−	0.460799i	0.223630	−	0.974674i	$-0.428209\pi$
$389$	−12.5091	−	9.08838i	−0.634235	−	0.460799i	−0.857865	+	0.513875i	$0.828209\pi$
$390$	−1.94254	+	4.12810i	−0.0983641	+	0.209034i
$391$	−17.6530	+	27.8167i	−0.892751	+	1.40675i
$392$	−35.0737	−	4.43083i	−1.77149	−	0.223791i
$393$	−0.562863	−	0.680385i	−0.0283927	−	0.0343209i
$394$	6.82917	−	4.96168i	0.344048	−	0.249966i
$395$	−1.75854	−	9.21861i	−0.0884820	−	0.463839i
$396$	2.77720	+	5.90186i	0.139560	+	0.296580i
$397$	−15.3881	−	24.2478i	−0.772309	−	1.21696i	−0.971508	−	0.237005i	$-0.923834\pi$
$397$	−15.3881	−	24.2478i	−0.772309	−	1.21696i	0.199200	−	0.979959i	$-0.436166\pi$
$398$	−6.30122	+	0.796029i	−0.315852	+	0.0399013i
$399$	17.4027	+	4.46827i	0.871227	+	0.223693i
$400$	0.0355944	−	0.0756420i	0.00177972	−	0.00378210i
$401$	17.7557	−	2.24307i	0.886678	−	0.112014i	0.331216	−	0.943555i	$-0.392541\pi$
$401$	17.7557	−	2.24307i	0.886678	−	0.112014i	0.555463	+	0.831542i	$0.312541\pi$
$402$	7.37463	+	6.92524i	0.367813	+	0.345399i
$403$	−23.0366	−	2.91020i	−1.14754	−	0.144968i
$404$	2.23985	+	11.7417i	0.111437	+	0.584172i
$405$	−3.41367	+	3.20564i	−0.169626	+	0.159290i
$406$	−3.78475	−	2.08069i	−0.187834	−	0.103263i
$407$	4.26685	−	13.1320i	0.211500	−	0.650929i
$408$	−17.2901	+	9.50529i	−0.855986	+	0.470582i
$409$	−0.329622	−	1.72794i	−0.0162987	−	0.0854410i	0.973208	−	0.229925i	$-0.0738479\pi$
$409$	−0.329622	−	1.72794i	−0.0162987	−	0.0854410i	−0.989507	+	0.144484i	$0.953848\pi$
$410$	6.13466	+	7.41553i	0.302969	+	0.366227i
$411$	−24.5226	+	9.70919i	−1.20961	+	0.478919i
$412$	10.9395	+	6.01402i	0.538949	+	0.296289i
$413$	0.123602	−	1.96460i	0.00608207	−	0.0966717i
$414$	0.390507	−	6.20692i	0.0191923	−	0.305054i
$415$	−3.96916	+	12.2158i	−0.194838	+	0.599650i
$416$	−3.90074	+	20.4484i	−0.191250	+	1.00257i
$417$	−8.89023	−	14.0088i	−0.435357	−	0.686012i
$418$	−5.56381	+	11.8237i	−0.272135	+	0.578316i
$419$	−2.12767	−	33.8184i	−0.103944	−	1.65214i	−0.612032	−	0.790833i	$-0.709648\pi$
$419$	−2.12767	−	33.8184i	−0.103944	−	1.65214i	0.508089	−	0.861305i	$-0.330352\pi$
$420$	−7.46669			−0.364337
$421$	7.95034			0.387476			0.193738	−	0.981053i	$-0.437939\pi$
$421$	7.95034			0.387476			0.193738	+	0.981053i	$0.437939\pi$
$422$	0.402019	+	6.38990i	0.0195700	+	0.311056i
$423$	−13.4193	−	3.44550i	−0.652470	−	0.167526i
$424$	9.99141	+	9.38256i	0.485226	+	0.455657i
$425$	4.63046	+	1.83333i	0.224610	+	0.0889295i
$426$	−8.05896	+	3.19077i	−0.390458	+	0.154593i
$427$	39.5562	−	37.1458i	1.91426	−	1.79761i
$428$	−9.69686	+	5.33089i	−0.468715	+	0.257678i
$429$	−4.87251	+	25.5426i	−0.235247	+	1.23321i
$430$	2.99566	+	9.21970i	0.144464	+	0.444613i
$431$	4.38610	+	4.11882i	0.211271	+	0.198397i	0.782957	−	0.622076i	$-0.213710\pi$
$431$	4.38610	+	4.11882i	0.211271	+	0.198397i	−0.571686	+	0.820472i	$0.693710\pi$
$432$	0.253300	−	0.399137i	0.0121869	−	0.0192035i
$433$	−20.0511	−	31.5955i	−0.963595	−	1.51838i	−0.851281	−	0.524710i	$-0.824174\pi$
$433$	−20.0511	−	31.5955i	−0.963595	−	1.51838i	−0.112314	−	0.993673i	$-0.535826\pi$
$434$	7.55066	+	23.2385i	0.362443	+	1.11549i
$435$	−1.43364	−	0.567617i	−0.0687376	−	0.0272152i
$436$	−3.90904	−	4.72521i	−0.187209	−	0.226297i
$437$	−15.6767	+	11.3898i	−0.749919	+	0.544848i
$438$	4.83512	−	1.91436i	0.231031	−	0.0914716i
$439$	−13.8116	+	3.54621i	−0.659191	+	0.169251i	−0.563444	−	0.826154i	$-0.690524\pi$
$439$	−13.8116	+	3.54621i	−0.659191	+	0.169251i	−0.0957467	+	0.995406i	$0.530524\pi$
$440$	2.68941	−	14.0984i	0.128212	−	0.672113i
$441$	5.61954	+	11.9421i	0.267597	+	0.568673i
$442$	16.1952	+	2.04593i	0.770328	+	0.0973151i
$443$	−18.3740	−	7.27479i	−0.872976	−	0.345636i	−0.111450	−	0.993770i	$-0.535550\pi$
$443$	−18.3740	−	7.27479i	−0.872976	−	0.345636i	−0.761526	+	0.648134i	$0.775550\pi$
$444$	4.49389	−	1.15383i	0.213271	−	0.0547586i
$445$	3.22384	−	9.92195i	0.152825	−	0.470346i
$446$	−5.84276	+	7.06269i	−0.276663	+	0.334428i
$447$	23.2332	+	12.7726i	1.09889	+	0.604121i
$448$	21.9316	−	5.63108i	1.03617	−	0.266043i
$449$	−6.46104	−	19.8850i	−0.304916	−	0.938433i	−0.979709	−	0.200427i	$-0.935767\pi$
$449$	−6.46104	−	19.8850i	−0.304916	−	0.938433i	0.674793	−	0.738007i	$-0.264233\pi$
$450$	−0.932712	+	0.117829i	−0.0439684	+	0.00555451i
$451$	44.3773	+	32.2420i	2.08965	+	1.51822i
$452$	11.8601			0.557854
$453$	−14.0467	+	9.75868i	−0.659971	+	0.458503i
$454$	−13.3005			−0.624221
$455$	13.2089	+	9.59680i	0.619241	+	0.449905i
$456$	−11.5134	+	1.45449i	−0.539167	+	0.0681126i
$457$	−0.801049	−	2.46538i	−0.0374715	−	0.115325i	0.930571	−	0.366111i	$-0.119311\pi$
$457$	−0.801049	−	2.46538i	−0.0374715	−	0.115325i	−0.968043	+	0.250786i	$0.919311\pi$
$458$	−10.9787	+	2.81885i	−0.513001	+	0.131716i
$459$	24.6783	+	13.5670i	1.15188	+	0.633254i
$460$	5.13303	−	6.20476i	0.239329	−	0.289298i
$461$	2.35974	−	7.26252i	0.109904	−	0.338249i	−0.880946	−	0.473216i	$-0.843093\pi$
$461$	2.35974	−	7.26252i	0.109904	−	0.338249i	0.990850	+	0.134967i	$0.0430929\pi$
$462$	26.5038	−	6.80502i	1.23307	−	0.316598i
$463$	−10.9960	−	4.35362i	−0.511027	−	0.202330i	0.0984376	−	0.995143i	$-0.468616\pi$
$463$	−10.9960	−	4.35362i	−0.511027	−	0.202330i	−0.609464	+	0.792813i	$0.708616\pi$
$464$	0.0918787	+	0.0116070i	0.00426536	+	0.000538841i
$465$	3.71421	+	7.89309i	0.172242	+	0.366033i
$466$	−1.70312	+	8.92809i	−0.0788957	+	0.413586i
$467$	−13.2391	+	3.39923i	−0.612634	+	0.157298i	−0.542243	−	0.840222i	$-0.682425\pi$
$467$	−13.2391	+	3.39923i	−0.612634	+	0.157298i	−0.0703912	+	0.997519i	$0.522425\pi$
$468$	4.45597	−	1.76424i	0.205977	−	0.0815521i
$469$	29.2895	−	21.2801i	1.35246	−	0.982623i
$470$	7.35248	+	8.88763i	0.339145	+	0.409956i
$471$	19.4633	+	7.70608i	0.896824	+	0.355078i
$472$	0.392896	+	1.20921i	0.0180845	+	0.0556583i
$473$	29.6058	+	46.6512i	1.36127	+	2.14503i
$474$	−6.19235	+	9.75758i	−0.284424	+	0.448180i
$475$	2.13529	+	2.00517i	0.0979740	+	0.0920037i
$476$	8.25565	+	25.4083i	0.378397	+	1.16459i
$477$	0.958829	−	5.02636i	0.0439017	−	0.230141i
$478$	14.1859	−	7.79874i	0.648846	−	0.356706i
$479$	−12.6173	+	11.8485i	−0.576500	+	0.541370i	−0.917006	−	0.398872i	$-0.869402\pi$
$479$	−12.6173	+	11.8485i	−0.576500	+	0.541370i	0.340506	+	0.940242i	$0.389402\pi$
$480$	7.27150	−	2.87899i	0.331897	−	0.131407i
$481$	−9.43286	−	3.73473i	−0.430101	−	0.170289i
$482$	−7.33549	−	6.88848i	−0.334122	−	0.313762i
$483$	39.3023	+	10.0911i	1.78832	+	0.459162i
$484$	−1.10266	−	17.5263i	−0.0501209	−	0.796648i
$485$	−3.34937			−0.152087
$486$	−9.24182			−0.419218
$487$	−2.61986	−	41.6414i	−0.118717	−	1.88695i	−0.384795	−	0.923002i	$-0.625728\pi$
$487$	−2.61986	−	41.6414i	−0.118717	−	1.88695i	0.266078	−	0.963951i	$-0.414272\pi$
$488$	−14.9229	+	31.7128i	−0.675528	+	1.43557i
$489$	6.54051	+	10.3062i	0.295772	+	0.466062i
$490$	2.05899	−	10.7936i	0.0930158	−	0.487606i
$491$	−2.97733	+	9.16327i	−0.134365	+	0.413533i	−0.995491	−	0.0948593i	$-0.969760\pi$
$491$	−2.97733	+	9.16327i	−0.134365	+	0.413533i	0.861126	+	0.508392i	$0.169760\pi$
$492$	−1.15733	+	18.3953i	−0.0521766	+	0.829324i
$493$	−0.346414	+	5.50609i	−0.0156017	+	0.247982i
$494$	8.41364	+	4.62544i	0.378548	+	0.208108i
$495$	−4.98202	+	1.97252i	−0.223925	+	0.0886583i
$496$	−0.333966	−	0.403696i	−0.0149955	−	0.0181265i
$497$	5.81233	+	30.4693i	0.260719	+	1.36673i
$498$	13.8604	−	7.61982i	0.621099	−	0.341452i
$499$	10.9561	−	33.7194i	0.490462	−	1.50949i	−0.333449	−	0.942768i	$-0.608213\pi$
$499$	10.9561	−	33.7194i	0.490462	−	1.50949i	0.823911	−	0.566719i	$-0.191787\pi$
$500$	−1.06672	−	0.586437i	−0.0477054	−	0.0262263i
$501$	−16.7515	+	15.7307i	−0.748401	+	0.702796i
$502$	−0.523751	−	2.74560i	−0.0233762	−	0.122542i
$503$	11.2420	+	1.42019i	0.501255	+	0.0633232i	0.371895	−	0.928275i	$-0.378708\pi$
$503$	11.2420	+	1.42019i	0.501255	+	0.0633232i	0.129359	+	0.991598i	$0.458708\pi$
$504$	−9.71656	−	9.12446i	−0.432810	−	0.406436i
$505$	−9.74223	+	1.23073i	−0.433524	+	0.0547668i
$506$	−12.5653	+	26.7026i	−0.558595	+	1.18708i
$507$	0.979498	+	0.251492i	0.0435010	+	0.0111692i
$508$	−7.53129	+	0.951423i	−0.334147	+	0.0422126i
$509$	−1.70662	−	2.68920i	−0.0756445	−	0.119197i	0.804400	−	0.594089i	$-0.202487\pi$
$509$	−1.70662	−	2.68920i	−0.0756445	−	0.119197i	−0.880044	+	0.474892i	$0.842487\pi$
$510$	−2.61116	−	5.54900i	−0.115624	−	0.245714i
$511$	−3.48721	−	18.2806i	−0.154265	−	0.808686i
$512$	−0.765023	+	0.555822i	−0.0338095	+	0.0245641i
$513$	10.5582	+	12.7627i	0.466157	+	0.563487i
$514$	−15.2914	−	1.93176i	−0.674477	−	0.0852062i
$515$	−5.49500	+	8.65874i	−0.242139	+	0.381550i
$516$	−7.90492	+	16.7988i	−0.347995	+	0.739526i
$517$	53.1869	+	38.6426i	2.33916	+	1.69950i
$518$	0.670354	+	10.6550i	0.0294537	+	0.468153i
$519$	−0.814022	−	0.591421i	−0.0357316	−	0.0259605i
$520$	−10.2143	−	2.62258i	−0.447925	−	0.115008i
$521$	2.27185	−	3.57987i	0.0995316	−	0.156837i	−0.790913	−	0.611929i	$-0.790394\pi$
$521$	2.27185	−	3.57987i	0.0995316	−	0.156837i	0.890444	+	0.455092i	$0.150394\pi$
$522$	−0.443431	−	0.942338i	−0.0194084	−	0.0412450i
$523$	−0.968335	+	0.532346i	−0.0423423	+	0.0232779i	−0.502784	−	0.864412i	$-0.667691\pi$
$523$	−0.968335	+	0.532346i	−0.0423423	+	0.0232779i	0.460442	+	0.887690i	$0.347691\pi$
$524$	0.492259	−	0.595039i	0.0215044	−	0.0259944i
$525$	0.385147	−	6.12173i	0.0168092	−	0.267174i
$526$	11.2162	−	13.5580i	0.489048	−	0.591158i
$527$	22.7526	−	21.3661i	0.991119	−	0.930723i
$528$	−0.474679	+	0.344875i	−0.0206578	+	0.0150087i
$529$	−16.7968	+	12.2036i	−0.730298	+	0.530592i
$530$	−3.10553	+	2.91629i	−0.134896	+	0.126675i
$531$	0.302566	−	0.365739i	0.0131302	−	0.0158717i
$532$	−0.986657	+	15.6825i	−0.0427770	+	0.679921i
$533$	25.6905	−	31.0544i	1.11278	−	1.34512i
$534$	−11.2577	+	6.18899i	−0.487170	+	0.267824i
$535$	−3.87047	−	8.22516i	−0.167335	−	0.355605i
$536$	−12.5297	+	19.7437i	−0.541202	+	0.852798i
$537$	−10.1312	−	2.60125i	−0.437194	−	0.112252i
$538$	−17.5987	−	12.7862i	−0.758732	−	0.551251i
$539$	−3.93246	−	62.5046i	−0.169383	−	2.69226i
$540$	−5.56887	−	4.04602i	−0.239646	−	0.174113i
$541$	14.0565	−	29.8715i	0.604334	−	1.28428i	−0.335305	−	0.942110i	$-0.608839\pi$
$541$	14.0565	−	29.8715i	0.604334	−	1.28428i	0.939639	−	0.342166i	$-0.111161\pi$
$542$	−3.00014	+	4.72747i	−0.128867	+	0.203062i
$543$	−1.29031	−	0.163004i	−0.0553723	−	0.00699515i
$544$	−17.8367	−	21.5609i	−0.764742	−	0.924414i
$545$	4.07570	−	2.96117i	0.174584	−	0.126843i
$546$	−3.76737	−	19.7492i	−0.161228	−	0.845189i
$547$	−0.661716	−	1.40622i	−0.0282929	−	0.0601255i	0.890181	−	0.455607i	$-0.150578\pi$
$547$	−0.661716	−	1.40622i	−0.0282929	−	0.0601255i	−0.918474	+	0.395481i	$0.870578\pi$
$548$	−12.3596	−	19.4756i	−0.527975	−	0.831956i
$549$	12.9816	−	1.63995i	0.554040	−	0.0699916i
$550$	4.32092	+	1.10942i	0.184245	+	0.0473060i
$551$	−1.38162	+	2.93609i	−0.0588590	+	0.125082i
$552$	−26.0019	+	3.28481i	−1.10672	+	0.139811i
$553$	30.1483	+	28.3112i	1.28204	+	1.20391i
$554$	−8.30552	−	1.04923i	−0.352868	−	0.0445775i
$555$	0.714193	+	3.74393i	0.0303158	+	0.158921i
$556$	10.5776	−	9.93307i	0.448592	−	0.421256i
$557$	16.9618	+	9.32484i	0.718695	+	0.395106i	0.798733	−	0.601686i	$-0.205504\pi$
$557$	16.9618	+	9.32484i	0.718695	+	0.395106i	−0.0800375	+	0.996792i	$0.525504\pi$
$558$	−1.82073	+	5.60362i	−0.0770775	+	0.237220i
$559$	35.5753	−	19.5577i	1.50467	−	0.827201i
$560$	0.0690320	+	0.361879i	0.00291714	+	0.0152922i
$561$	−22.2802	−	26.9322i	−0.940672	−	1.13708i
$562$	−12.7659	+	5.05438i	−0.538497	+	0.213206i
$563$	−5.82152	−	3.20041i	−0.245348	−	0.134881i	0.354336	−	0.935118i	$-0.384707\pi$
$563$	−5.82152	−	3.20041i	−0.245348	−	0.134881i	−0.599684	+	0.800237i	$0.704707\pi$
$564$	−1.38708	+	22.0470i	−0.0584067	+	0.928348i
$565$	−0.611769	+	9.72379i	−0.0257373	+	0.409083i
$566$	0.900612	−	2.77180i	0.0378555	−	0.116507i
$567$	3.86692	−	20.2711i	0.162395	−	0.851307i
$568$	−10.7352	−	16.9160i	−0.450440	−	0.709780i
$569$	−5.47289	+	11.6305i	−0.229435	+	0.487575i	−0.986084	−	0.166246i	$-0.946835\pi$
$569$	−5.47289	+	11.6305i	−0.229435	+	0.487575i	0.756649	+	0.653821i	$0.226835\pi$
$570$	−0.226489	−	3.59993i	−0.00948657	−	0.150785i
$571$	12.9837			0.543353			0.271676	−	0.962389i	$-0.412422\pi$
$571$	12.9837			0.543353			0.271676	+	0.962389i	$0.412422\pi$
$572$	−22.7414			−0.950866
$573$	−0.565528	−	8.98881i	−0.0236253	−	0.375513i
$574$	−41.0796	−	10.5474i	−1.71463	−	0.440242i
$575$	4.82234	+	4.52848i	0.201105	+	0.188851i
$576$	5.07658	+	2.00996i	0.211524	+	0.0837484i
$577$	4.75845	−	1.88400i	0.198097	−	0.0784321i	−0.266981	−	0.963702i	$-0.586026\pi$
$577$	4.75845	−	1.88400i	0.198097	−	0.0784321i	0.465078	+	0.885270i	$0.346026\pi$
$578$	−5.03185	+	4.72522i	−0.209297	+	0.196543i
$579$	−8.43697	+	4.63826i	−0.350628	+	0.192760i
$580$	0.252684	−	1.32462i	0.0104921	−	0.0550017i
$581$	−17.4914	−	53.8331i	−0.725667	−	2.23337i
$582$	3.00660	+	2.82339i	0.124628	+	0.117033i
$583$	−13.0105	+	20.5012i	−0.538838	+	0.849074i
$584$	6.44079	+	10.1491i	0.266522	+	0.419971i
$585$	1.21661	+	3.74433i	0.0503004	+	0.154809i
$586$	27.2626	+	10.7940i	1.12621	+	0.445897i
$587$	−25.9186	−	31.3302i	−1.06978	−	1.29314i	−0.953982	−	0.299864i	$-0.903059\pi$
$587$	−25.9186	−	31.3302i	−1.06978	−	1.29314i	−0.115794	−	0.993273i	$-0.536941\pi$
$588$	17.0250	−	12.3694i	0.702101	−	0.510106i
$589$	17.0688	−	6.75803i	0.703309	−	0.278460i
$590$	−0.382772	+	0.0982793i	−0.0157585	+	0.00404609i
$591$	−2.48853	+	13.0453i	−0.102364	+	0.536613i
$592$	−0.0974689	−	0.207132i	−0.00400595	−	0.00851307i
$593$	20.8633	+	2.63564i	0.856752	+	0.108233i	0.541424	−	0.840750i	$-0.317885\pi$
$593$	20.8633	+	2.63564i	0.856752	+	0.108233i	0.315328	+	0.948983i	$0.397885\pi$
$594$	23.4548	+	9.28640i	0.962361	+	0.381026i
$595$	−21.2574	+	5.45797i	−0.871467	+	0.223755i
$596$	−7.16516	+	22.0521i	−0.293497	+	0.903290i
$597$	6.36938	−	7.69926i	0.260681	−	0.315110i
$598$	19.0013	+	10.4461i	0.777023	+	0.427172i
$599$	0.108615	−	0.0278876i	0.00443790	−	0.00113946i	−0.246470	−	0.969150i	$-0.579271\pi$
$599$	0.108615	−	0.0278876i	0.00443790	−	0.00113946i	0.250908	+	0.968011i	$0.419271\pi$
$600$	1.22427	+	3.76792i	0.0499806	+	0.153824i
$601$	−4.87329	+	0.615640i	−0.198786	+	0.0251125i	−0.224096	−	0.974567i	$-0.571943\pi$
$601$	−4.87329	+	0.615640i	−0.198786	+	0.0251125i	0.0253098	+	0.999680i	$0.491943\pi$
$602$	−34.5617	−	25.1105i	−1.40863	−	1.02343i
$603$	8.73000			0.355513
$604$	−10.6853	−	10.4679i	−0.434780	−	0.425933i
$605$	14.4262			0.586507
$606$	9.78268	+	7.10753i	0.397394	+	0.288724i
$607$	24.7493	−	3.12656i	1.00454	−	0.126903i	0.394186	−	0.919031i	$-0.371026\pi$
$607$	24.7493	−	3.12656i	1.00454	−	0.126903i	0.610356	+	0.792127i	$0.291026\pi$
$608$	−5.08594	−	15.6529i	−0.206262	−	0.634810i
$609$	6.58150	−	1.68984i	0.266696	−	0.0684758i
$610$	−9.54627	−	5.24811i	−0.386517	−	0.212490i
$611$	30.7904	−	37.2193i	1.24565	−	1.50573i
$612$	−1.99072	+	6.12682i	−0.0804702	+	0.247662i
$613$	−10.0601	+	2.58298i	−0.406322	+	0.104326i	−0.446319	−	0.894874i	$-0.647265\pi$
$613$	−10.0601	+	2.58298i	−0.406322	+	0.104326i	0.0399968	+	0.999200i	$0.487265\pi$
$614$	17.4297	+	6.90089i	0.703404	+	0.278497i
$615$	−15.0221	−	1.89773i	−0.605749	−	0.0765239i
$616$	26.9303	+	57.2299i	1.08505	+	2.30586i
$617$	5.33192	−	27.9509i	0.214655	−	1.12526i	−0.697866	−	0.716229i	$-0.745867\pi$
$617$	5.33192	−	27.9509i	0.214655	−	1.12526i	0.912520	−	0.409031i	$-0.134133\pi$
$618$	12.2316	−	3.14055i	0.492028	−	0.126331i
$619$	−34.0301	+	13.4735i	−1.36779	+	0.541545i	−0.933288	−	0.359128i	$-0.883074\pi$
$619$	−34.0301	+	13.4735i	−1.36779	+	0.541545i	−0.434498	+	0.900673i	$0.643074\pi$
$620$	−6.17206	+	4.48427i	−0.247876	+	0.180093i
$621$	23.8446	+	28.8232i	0.956852	+	1.15664i
$622$	10.9767	+	4.34600i	0.440127	+	0.174259i
$623$	14.2069	+	43.7244i	0.569189	+	1.75178i
$624$	0.230998	+	0.363994i	0.00924730	+	0.0145714i
$625$	0.535827	−	0.844328i	0.0214331	−	0.0337731i
$626$	−19.4290	−	18.2450i	−0.776539	−	0.729219i
$627$	−6.35296	−	19.5524i	−0.253713	−	0.780848i
$628$	−3.43049	+	17.9833i	−0.136892	+	0.717611i
$629$	11.9505	−	6.56984i	0.476497	−	0.261957i
$630$	3.02010	−	2.83606i	0.120324	−	0.112991i
$631$	9.00881	−	3.56684i	0.358635	−	0.141994i	−0.181896	−	0.983318i	$-0.558223\pi$
$631$	9.00881	−	3.56684i	0.358635	−	0.141994i	0.540531	+	0.841324i	$0.318223\pi$
$632$	−24.8368	−	9.83358i	−0.987955	−	0.391159i
$633$	−7.34289	−	6.89543i	−0.291854	−	0.274069i
$634$	8.77228	+	2.25234i	0.348392	+	0.0894518i
$635$	−0.391566	−	6.22377i	−0.0155388	−	0.246983i
$636$	−8.15886			−0.323520
$637$	−46.0161			−1.82323
$638$	0.310305	+	4.93216i	0.0122851	+	0.195266i
$639$	−3.18470	+	6.76782i	−0.125985	+	0.267731i
$640$	3.58563	+	5.65005i	0.141735	+	0.223338i
$641$	3.62703	−	19.0136i	0.143259	−	0.750990i	−0.836055	−	0.548645i	$-0.815144\pi$
$641$	3.62703	−	19.0136i	0.143259	−	0.750990i	0.979314	−	0.202345i	$-0.0648562\pi$
$642$	−3.45911	+	10.6461i	−0.136520	+	0.420166i
$643$	−1.18177	+	18.7837i	−0.0466044	+	0.740755i	0.903454	+	0.428684i	$0.141023\pi$
$643$	−1.18177	+	18.7837i	−0.0466044	+	0.740755i	−0.950059	+	0.312071i	$0.898977\pi$
$644$	−2.22826	+	35.4172i	−0.0878058	+	1.39563i
$645$	−13.3651	−	7.34753i	−0.526251	−	0.289309i
$646$	−11.9997	+	4.75103i	−0.472123	+	0.186927i
$647$	−26.2461	−	31.7261i	−1.03184	−	1.24728i	−0.968428	−	0.249294i	$-0.919801\pi$
$647$	−26.2461	−	31.7261i	−1.03184	−	1.24728i	−0.0634130	−	0.997987i	$-0.520199\pi$
$648$	2.49763	+	13.0930i	0.0981162	+	0.514343i
$649$	−1.97379	+	1.08510i	−0.0774781	+	0.0425940i
$650$	1.01289	−	3.11735i	0.0397288	−	0.122273i
$651$	−33.6872	−	18.5197i	−1.32031	−	0.725844i
$652$	−7.78193	+	7.30771i	−0.304764	+	0.286192i
$653$	−1.08065	−	5.66496i	−0.0422890	−	0.221687i	0.954869	−	0.297028i	$-0.0959954\pi$
$653$	−1.08065	−	5.66496i	−0.0422890	−	0.221687i	−0.997158	+	0.0753411i	$0.975995\pi$
$654$	−6.15475	−	0.777526i	−0.240670	−	0.0304037i
$655$	0.462464	+	0.434283i	0.0180700	+	0.0169688i
$656$	0.902240	−	0.113979i	0.0352266	−	0.00445015i
$657$	1.91071	−	4.06048i	0.0745441	−	0.158414i
$658$	−49.2345	−	12.6413i	−1.91936	−	0.492808i
$659$	−29.8136	+	3.76634i	−1.16137	+	0.146716i	−0.682309	−	0.731063i	$-0.739024\pi$
$659$	−29.8136	+	3.76634i	−1.16137	+	0.146716i	−0.479065	+	0.877779i	$0.659024\pi$
$660$	4.57790	+	7.21361i	0.178194	+	0.280789i
$661$	10.1765	+	21.6261i	0.395818	+	0.841157i	0.999049	+	0.0435904i	$0.0138797\pi$
$661$	10.1765	+	21.6261i	0.395818	+	0.841157i	−0.603231	+	0.797566i	$0.706120\pi$
$662$	2.91146	+	15.2624i	0.113157	+	0.593189i
$663$	−20.7773	+	15.0956i	−0.806923	+	0.586264i
$664$	23.3042	+	28.1699i	0.904378	+	1.09320i
$665$	−12.8067	−	1.61786i	−0.496623	−	0.0627381i
$666$	−1.37941	+	2.17361i	−0.0534511	+	0.0842255i
$667$	−3.12025	+	6.63086i	−0.120816	+	0.256748i
$668$	−16.2590	−	11.8128i	−0.629079	−	0.457053i
$669$	−0.905504	−	14.3926i	−0.0350088	−	0.556449i
$670$	−5.88009	−	4.27214i	−0.227168	−	0.165047i
$671$	−60.1390	−	15.4411i	−2.32164	−	0.596096i
$672$	−18.4670	+	29.0994i	−0.712381	+	1.12253i
$673$	−16.1520	−	34.3247i	−0.622613	−	1.32312i	−0.928599	−	0.371084i	$-0.878986\pi$
$673$	−16.1520	−	34.3247i	−0.622613	−	1.32312i	0.305987	−	0.952036i	$-0.401014\pi$
$674$	6.69426	−	3.68020i	0.257853	−	0.141756i
$675$	3.60447	−	4.35706i	0.138736	−	0.167703i
$676$	−0.0555331	+	0.882673i	−0.00213589	+	0.0339490i
$677$	−8.13828	+	9.83749i	−0.312779	+	0.378085i	−0.903353	−	0.428899i	$-0.858902\pi$
$677$	−8.13828	+	9.83749i	−0.312779	+	0.378085i	0.590573	+	0.806984i	$0.298902\pi$
$678$	8.74593	−	8.21298i	0.335886	−	0.315418i
$679$	11.9412	−	8.67580i	0.458262	−	0.332947i
$680$	11.4681	−	8.33209i	0.439783	−	0.319521i
$681$	15.2539	−	14.3244i	0.584532	−	0.548912i
$682$	17.8215	−	21.5425i	0.682420	−	0.824905i
$683$	−0.506547	+	8.05133i	−0.0193825	+	0.308076i	0.976377	+	0.216076i	$0.0693259\pi$
$683$	−0.506547	+	8.05133i	−0.0193825	+	0.308076i	−0.995759	+	0.0919997i	$0.970674\pi$
$684$	−2.41524	+	2.91952i	−0.0923489	+	0.111631i
$685$	16.6050	−	9.12868i	0.634445	−	0.348789i
$686$	8.99762	+	19.1209i	0.343531	+	0.730040i
$687$	9.55532	−	15.0568i	0.364558	−	0.574452i
$688$	0.887249	+	0.227807i	0.0338261	+	0.00868506i
$689$	14.4333	+	10.4864i	0.549866	+	0.399501i
$690$	−0.511501	−	8.13008i	−0.0194725	−	0.309507i
$691$	5.78832	+	4.20546i	0.220198	+	0.159983i	0.692416	−	0.721499i	$-0.256546\pi$
$691$	5.78832	+	4.20546i	0.220198	+	0.159983i	−0.472218	+	0.881482i	$0.656546\pi$
$692$	0.374674	−	0.796224i	0.0142430	−	0.0302679i
$693$	12.6526	−	19.9373i	0.480631	−	0.757354i
$694$	−29.4485	−	3.72022i	−1.11785	−	0.141217i
$695$	7.59823	+	9.18468i	0.288217	+	0.348395i
$696$	−3.55065	+	2.57970i	−0.134587	+	0.0977833i
$697$	10.1516	+	53.2166i	0.384520	+	2.01572i
$698$	7.71563	+	16.3965i	0.292041	+	0.620618i
$699$	−7.66215	−	12.0736i	−0.289809	−	0.456666i
$700$	5.32213	−	0.672341i	0.201157	−	0.0254121i
$701$	15.9209	+	4.08780i	0.601326	+	0.154394i	0.537068	−	0.843539i	$-0.319532\pi$
$701$	15.9209	+	4.08780i	0.601326	+	0.154394i	0.0642579	+	0.997933i	$0.479532\pi$
$702$	7.89182	−	16.7710i	0.297858	−	0.632980i
$703$	7.95783	−	1.00531i	0.300135	−	0.0379159i
$704$	−18.8867	−	17.7358i	−0.711818	−	0.668442i
$705$	−18.0042	−	2.27446i	−0.678077	−	0.0856611i
$706$	4.34702	+	22.7879i	0.163602	+	0.857633i
$707$	31.5451	−	29.6229i	1.18638	−	1.11408i
$708$	−0.663227	−	0.364612i	−0.0249256	−	0.0137030i
$709$	−2.67418	+	8.23029i	−0.100431	+	0.309095i	−0.988631	−	0.150362i	$-0.951956\pi$
$709$	−2.67418	+	8.23029i	−0.100431	+	0.309095i	0.888200	+	0.459457i	$0.151956\pi$
$710$	5.45697	−	3.00000i	0.204796	−	0.112588i
$711$	1.86870	+	9.79608i	0.0700818	+	0.367382i
$712$	−18.9282	−	22.8802i	−0.709364	−	0.857474i
$713$	38.5482	−	15.2623i	1.44364	−	0.571578i
$714$	23.6828	+	13.0197i	0.886306	+	0.487251i
$715$	1.17305	−	18.6450i	0.0438694	−	0.697285i
$716$	0.574394	−	9.12973i	0.0214661	−	0.341194i
$717$	−7.87024	+	24.2221i	−0.293920	+	0.904592i
$718$	−4.43387	+	23.2431i	−0.165470	+	0.867426i
$719$	4.84740	+	7.63828i	0.180778	+	0.284860i	0.922617	−	0.385718i	$-0.126046\pi$
$719$	4.84740	+	7.63828i	0.180778	+	0.284860i	−0.741839	+	0.670578i	$0.766046\pi$
$720$	−0.0378241	+	0.0803803i	−0.00140962	+	0.00299560i
$721$	−2.83769	−	45.1038i	−0.105681	−	1.67975i
$722$	9.21846			0.343075
$723$	15.8317			0.588786
$724$	−0.0714194	−	1.13518i	−0.00265428	−	0.0421886i
$725$	1.07298	+	0.275495i	0.0398496	+	0.0102316i
$726$	−12.9498	−	12.1607i	−0.480613	−	0.451325i
$727$	16.5546	+	6.55445i	0.613978	+	0.243091i	0.654469	−	0.756089i	$-0.272892\pi$
$727$	16.5546	+	6.55445i	0.613978	+	0.243091i	−0.0404912	+	0.999180i	$0.512892\pi$
$728$	43.2092	−	17.1077i	1.60144	−	0.634055i
$729$	20.8402	−	19.5702i	0.771859	−	0.724824i
$730$	−3.27401	+	1.79990i	−0.121176	+	0.0666173i
$731$	−10.2255	+	53.6038i	−0.378203	+	1.98261i
$732$	−6.44707	−	19.8420i	−0.238291	−	0.733383i
$733$	−11.6906	−	10.9782i	−0.431801	−	0.405488i	0.437934	−	0.899007i	$-0.355710\pi$
$733$	−11.6906	−	10.9782i	−0.431801	−	0.405488i	−0.869735	+	0.493519i	$0.835710\pi$
$734$	−15.8156	+	24.9214i	−0.583764	+	0.919864i
$735$	9.26316	+	14.5964i	0.341677	+	0.538396i
$736$	−11.4861	−	35.3505i	−0.423382	−	1.30304i
$737$	−38.5165	−	15.2498i	−1.41877	−	0.561732i
$738$	−6.51894	−	7.88004i	−0.239965	−	0.290068i
$739$	−15.3557	+	11.1566i	−0.564870	+	0.410402i	−0.833238	−	0.552914i	$-0.813516\pi$
$739$	−15.3557	+	11.1566i	−0.564870	+	0.410402i	0.268368	+	0.963316i	$0.413516\pi$
$740$	−3.09927	+	1.22709i	−0.113931	+	0.0451086i
$741$	−14.6309	+	3.75658i	−0.537480	+	0.138001i
$742$	3.51787	−	18.4413i	0.129145	−	0.677003i
$743$	−16.1169	−	34.2502i	−0.591273	−	1.25652i	−0.946791	−	0.321849i	$-0.895696\pi$
$743$	−16.1169	−	34.2502i	−0.591273	−	1.25652i	0.355518	−	0.934669i	$-0.384304\pi$
$744$	24.6339	+	3.11199i	0.903123	+	0.114091i
$745$	−17.7103	−	7.01201i	−0.648856	−	0.256900i
$746$	5.72208	−	1.46918i	0.209500	−	0.0537905i
$747$	4.21779	−	12.9810i	0.154321	−	0.474951i
$748$	19.4855	−	23.5539i	0.712459	−	0.861215i
$749$	35.1044	+	19.2988i	1.28269	+	0.705164i
$750$	−1.19273	+	0.306240i	−0.0435522	+	0.0111823i
$751$	−5.50846	−	16.9533i	−0.201007	−	0.618635i	−0.999854	−	0.0171007i	$-0.994556\pi$
$751$	−5.50846	−	16.9533i	−0.201007	−	0.618635i	0.798847	−	0.601534i	$-0.205444\pi$
$752$	1.08135	−	0.136606i	0.0394328	−	0.00498152i
$753$	3.55765	+	2.58478i	0.129648	+	0.0941947i
$754$	3.63107			0.132236
$755$	9.13350	−	8.22065i	0.332402	−	0.299180i
$756$	30.3345			1.10326
$757$	−41.2919	−	30.0003i	−1.50078	−	1.09038i	−0.970070	−	0.242825i	$-0.921926\pi$
$757$	−41.2919	−	30.0003i	−1.50078	−	1.09038i	−0.530709	−	0.847554i	$-0.678074\pi$
$758$	0.399635	−	0.0504857i	0.0145154	−	0.00183372i
$759$	−14.3475	−	44.1571i	−0.520782	−	1.60280i
$760$	8.07561	−	2.07346i	0.292933	−	0.0752125i
$761$	−19.8838	−	10.9312i	−0.720789	−	0.396257i	0.0787318	−	0.996896i	$-0.474913\pi$
$761$	−19.8838	−	10.9312i	−0.720789	−	0.396257i	−0.799520	+	0.600639i	$0.794913\pi$
$762$	−4.89490	+	5.91691i	−0.177323	+	0.214347i
$763$	−6.86048	+	21.1144i	−0.248366	+	0.764392i
$764$	7.62936	−	1.95889i	0.276020	−	0.0708700i
$765$	−4.92052	−	1.94817i	−0.177902	−	0.0704363i
$766$	11.0157	+	1.39161i	0.398015	+	0.0502809i
$767$	0.704645	+	1.49745i	0.0254432	+	0.0540696i
$768$	4.22429	−	22.1445i	0.152431	−	0.799071i
$769$	−30.7431	+	7.89350i	−1.10863	+	0.284647i	−0.758251	−	0.651963i	$-0.773946\pi$
$769$	−30.7431	+	7.89350i	−1.10863	+	0.284647i	−0.350375	+	0.936609i	$0.613946\pi$
$770$	−18.2787	+	7.23704i	−0.658718	+	0.260805i
$771$	19.6178	−	14.2532i	0.706518	−	0.513316i
$772$	−5.36722	−	6.48786i	−0.193171	−	0.233503i
$773$	1.29363	+	0.512185i	0.0465287	+	0.0184220i	0.391274	−	0.920274i	$-0.372035\pi$
$773$	1.29363	+	0.512185i	0.0465287	+	0.0184220i	−0.344745	+	0.938696i	$0.612035\pi$
$774$	−3.18331	−	9.79723i	−0.114422	−	0.352154i
$775$	−3.35816	−	5.29161i	−0.120629	−	0.190080i
$776$	−5.10832	+	8.04942i	−0.183378	+	0.288957i
$777$	−12.2441	−	11.4979i	−0.439253	−	0.412486i
$778$	−4.22716	−	13.0099i	−0.151551	−	0.466426i
$779$	−5.97088	+	31.3004i	−0.213929	+	1.12145i
$780$	5.50095	−	3.02417i	0.196966	−	0.108283i
$781$	25.8730	−	24.2963i	0.925807	−	0.869391i
$782$	−27.1001	+	10.7297i	−0.969099	+	0.383694i
$783$	5.82435	+	2.30602i	0.208145	+	0.0824106i
$784$	−0.756895	−	0.710772i	−0.0270320	−	0.0253847i
$785$	−14.5670	−	3.74018i	−0.519919	−	0.133493i
$786$	−0.0490532	−	0.779678i	−0.00174967	−	0.0278102i
$787$	−37.6764			−1.34302			−0.671510	−	0.740996i	$-0.734354\pi$
$787$	−37.6764			−1.34302			−0.671510	+	0.740996i	$0.734354\pi$
$788$	−11.6147			−0.413756
$789$	1.73827	+	27.6290i	0.0618839	+	0.983617i
$790$	3.53517	−	7.51262i	0.125776	−	0.267287i
$791$	−23.0062	−	36.2520i	−0.818007	−	1.28897i
$792$	−2.85787	+	14.9815i	−0.101550	+	0.532345i
$793$	−14.0975	+	43.3876i	−0.500617	+	1.54074i
$794$	1.59535	−	25.3573i	0.0566167	−	0.899896i
$795$	0.420850	−	6.68922i	0.0149260	−	0.237242i
$796$	7.65802	+	4.21003i	0.271431	+	0.149221i
$797$	−37.9106	+	15.0098i	−1.34286	+	0.531676i	−0.926079	−	0.377330i	$-0.876842\pi$
$797$	−37.9106	+	15.0098i	−1.34286	+	0.531676i	−0.416782	+	0.909007i	$0.636842\pi$
$798$	10.1323	+	12.2478i	0.358679	+	0.433569i
$799$	12.1669	+	63.7810i	0.430433	+	2.25641i
$800$	−4.92376	+	2.70686i	−0.174081	+	0.0957019i
$801$	−3.42578	+	10.5435i	−0.121044	+	0.372535i
$802$	13.8749	+	7.62781i	0.489941	+	0.269348i
$803$	−15.5229	+	14.5770i	−0.547793	+	0.514411i
$804$	−2.60829	−	13.6731i	−0.0919871	−	0.482213i
$805$	−28.9226	−	3.65378i	−1.01939	−	0.128779i
$806$	−14.9749	−	14.0624i	−0.527469	−	0.495327i
$807$	33.9539	−	4.28938i	1.19523	−	0.150993i
$808$	−11.9007	+	25.2902i	−0.418664	+	0.889705i
$809$	6.02116	+	1.54597i	0.211693	+	0.0543535i	0.353047	−	0.935606i	$-0.385146\pi$
$809$	6.02116	+	1.54597i	0.211693	+	0.0543535i	−0.141354	+	0.989959i	$0.545146\pi$
$810$	−4.11029	+	0.519251i	−0.144421	+	0.0182446i
$811$	26.6567	+	42.0043i	0.936044	+	1.47497i	0.879125	+	0.476591i	$0.158128\pi$
$811$	26.6567	+	42.0043i	0.936044	+	1.47497i	0.0569193	+	0.998379i	$0.481872\pi$
$812$	2.53025	+	5.37706i	0.0887944	+	0.188698i
$813$	−1.65063	−	8.65291i	−0.0578902	−	0.303471i
$814$	9.88282	−	7.18029i	0.346393	−	0.251669i
$815$	−5.58998	−	6.75713i	−0.195809	−	0.236692i
$816$	−0.574923	−	0.0726297i	−0.0201263	−	0.00254255i
$817$	−17.1983	+	27.1001i	−0.601691	+	0.948113i
$818$	0.662632	−	1.40817i	0.0231684	−	0.0492354i
$819$	−14.0363	−	10.1980i	−0.490467	−	0.356345i
$820$	−0.831483	−	13.2160i	−0.0290366	−	0.461524i
$821$	15.3978	+	11.1872i	0.537388	+	0.390435i	0.823114	−	0.567876i	$-0.192235\pi$
$821$	15.3978	+	11.1872i	0.537388	+	0.390435i	−0.285726	+	0.958311i	$0.592235\pi$
$822$	−22.6008	−	5.80290i	−0.788293	−	0.202399i
$823$	−4.44011	+	6.99650i	−0.154773	+	0.243883i	−0.912862	−	0.408268i	$-0.866133\pi$
$823$	−4.44011	+	6.99650i	−0.154773	+	0.243883i	0.758090	+	0.652150i	$0.226133\pi$
$824$	12.4285	+	26.4119i	0.432967	+	0.920101i
$825$	−6.15037	+	3.38120i	−0.214129	+	0.117718i
$826$	1.11009	−	1.34187i	0.0386251	−	0.0466897i
$827$	0.895679	−	14.2364i	0.0311458	−	0.495049i	−0.951272	−	0.308353i	$-0.900222\pi$
$827$	0.895679	−	14.2364i	0.0311458	−	0.495049i	0.982418	−	0.186696i	$-0.0597778\pi$
$828$	−5.45456	+	6.59344i	−0.189559	+	0.229138i
$829$	22.3199	−	20.9598i	0.775204	−	0.727965i	−0.192158	−	0.981364i	$-0.561549\pi$
$829$	22.3199	−	20.9598i	0.775204	−	0.727965i	0.967362	+	0.253399i	$0.0815486\pi$
$830$	−9.19332	+	6.67933i	−0.319105	+	0.231843i
$831$	10.6554	−	7.74158i	0.369631	−	0.268553i
$832$	−13.8770	+	13.0314i	−0.481099	+	0.451782i
$833$	39.4279	−	47.6601i	1.36610	−	1.65133i
$834$	0.921683	−	14.6497i	0.0319153	−	0.507279i
$835$	10.5237	−	12.7210i	0.364187	−	0.440227i
$836$	15.7558	−	8.66184i	0.544927	−	0.299576i
$837$	−15.0895	−	32.0668i	−0.521569	−	1.10839i
$838$	16.0633	−	25.3117i	0.554897	−	0.874377i
$839$	−9.15420	−	2.35040i	−0.316038	−	0.0811448i	0.0873389	−	0.996179i	$-0.472164\pi$
$839$	−9.15420	−	2.35040i	−0.316038	−	0.0811448i	−0.403377	+	0.915034i	$0.632164\pi$
$840$	−14.1247	−	10.2622i	−0.487349	−	0.354080i
$841$	−1.74387	−	27.7180i	−0.0601334	−	0.955793i
$842$	5.69039	+	4.13431i	0.196104	+	0.142478i
$843$	9.19738	−	19.5454i	0.316774	−	0.673180i
$844$	4.72035	−	7.43808i	0.162481	−	0.256029i
$845$	−0.720814	−	0.0910600i	−0.0247968	−	0.00313256i
$846$	−7.81305	−	9.44436i	−0.268618	−	0.324704i
$847$	−51.4323	+	37.3677i	−1.76723	+	1.28397i
$848$	0.0754313	+	0.395425i	0.00259032	+	0.0135789i
$849$	1.95230	+	4.14885i	0.0670027	+	0.142388i
$850$	2.36085	+	3.72011i	0.0809766	+	0.127599i
$851$	17.9719	−	2.27038i	0.616070	−	0.0778277i
$852$	11.5514	+	2.96590i	0.395745	+	0.101610i
$853$	5.35135	−	11.3722i	0.183227	−	0.389377i	−0.792020	−	0.610495i	$-0.790971\pi$
$853$	5.35135	−	11.3722i	0.183227	−	0.389377i	0.975247	+	0.221118i	$0.0709706\pi$
$854$	47.6285	−	6.01688i	1.62981	−	0.205893i
$855$	−2.26905	−	2.13078i	−0.0775999	−	0.0728711i
$856$	−25.6703	−	3.24291i	−0.877392	−	0.110840i
$857$	−8.59483	−	45.0557i	−0.293594	−	1.53907i	−0.757291	−	0.653078i	$-0.773477\pi$
$857$	−8.59483	−	45.0557i	−0.293594	−	1.53907i	0.463697	−	0.885994i	$-0.346523\pi$
$858$	−16.7700	+	15.7481i	−0.572519	+	0.537631i
$859$	20.4000	+	11.2150i	0.696038	+	0.382650i	0.790152	−	0.612912i	$-0.210002\pi$
$859$	20.4000	+	11.2150i	0.696038	+	0.382650i	−0.0941140	+	0.995561i	$0.530002\pi$
$860$	4.12183	−	12.6857i	0.140553	−	0.432578i
$861$	58.4725	−	32.1455i	1.99274	−	1.09552i
$862$	0.997458	+	5.22886i	0.0339735	+	0.178096i
$863$	−16.8695	−	20.3917i	−0.574245	−	0.694143i	0.400796	−	0.916167i	$-0.368733\pi$
$863$	−16.8695	−	20.3917i	−0.574245	−	0.694143i	−0.975041	+	0.222025i	$0.928733\pi$
$864$	−29.5415	+	11.6963i	−1.00502	+	0.397916i
$865$	0.633475	+	0.348256i	0.0215388	+	0.0118411i
$866$	2.07877	−	33.0411i	0.0706395	−	1.12278i
$867$	0.681898	−	10.8385i	0.0231585	−	0.368093i
$868$	10.3892	−	31.9747i	0.352633	−	1.08529i
$869$	8.86735	−	46.4843i	0.300804	−	1.57687i
$870$	−0.730944	−	1.15178i	−0.0247813	−	0.0390491i
$871$	−12.9596	+	27.5406i	−0.439120	+	0.933178i
$872$	−0.900386	−	14.3112i	−0.0304909	−	0.484639i
$873$	3.55918			0.120460
$874$	−17.1434			−0.579883
$875$	0.276708	+	4.39814i	0.00935443	+	0.148684i
$876$	−6.93047	−	1.77944i	−0.234159	−	0.0601218i
$877$	−20.0630	−	18.8404i	−0.677479	−	0.636195i	0.267411	−	0.963582i	$-0.413832\pi$
$877$	−20.0630	−	18.8404i	−0.677479	−	0.636195i	−0.944890	+	0.327388i	$0.893832\pi$
$878$	−11.7296	−	4.64408i	−0.395855	−	0.156730i
$879$	−42.8917	+	16.9820i	−1.44670	+	0.572790i
$880$	0.307289	−	0.288563i	0.0103587	−	0.00972747i
$881$	6.59919	−	3.62793i	0.222332	−	0.122228i	−0.366695	−	0.930341i	$-0.619511\pi$
$881$	6.59919	−	3.62793i	0.222332	−	0.122228i	0.589028	+	0.808113i	$0.299511\pi$
$882$	−2.18797	+	11.4697i	−0.0736728	+	0.386206i
$883$	−1.62681	−	5.00681i	−0.0547465	−	0.168492i	0.919945	−	0.392048i	$-0.128233\pi$
$883$	−1.62681	−	5.00681i	−0.0547465	−	0.168492i	−0.974691	+	0.223556i	$0.928233\pi$
$884$	−16.3731	−	15.3754i	−0.550687	−	0.517130i
$885$	0.333146	−	0.524954i	0.0111986	−	0.0176461i
$886$	−9.36804	−	14.7617i	−0.314726	−	0.495928i
$887$	12.4705	+	38.3804i	0.418720	+	1.28869i	0.908881	+	0.417056i	$0.136938\pi$
$887$	12.4705	+	38.3804i	0.418720	+	1.28869i	−0.490161	+	0.871632i	$0.663062\pi$
$888$	10.0869	+	3.99368i	0.338494	+	0.134019i
$889$	17.5173	+	21.1748i	0.587511	+	0.710179i
$890$	7.46702	−	5.42511i	0.250295	−	0.181850i
$891$	−21.9549	+	8.69255i	−0.735516	+	0.291211i
$892$	12.2159	−	3.13650i	0.409017	−	0.105018i
$893$	−7.15619	+	37.5141i	−0.239473	+	1.25536i
$894$	9.98702	+	21.2235i	0.334016	+	0.709820i
$895$	7.45558	+	0.941859i	0.249213	+	0.0314829i
$896$	−27.4187	−	10.8558i	−0.915995	−	0.362668i
$897$	−33.0424	+	8.48384i	−1.10325	+	0.283267i
$898$	5.71612	−	17.5924i	0.190749	−	0.587066i
$899$	4.42548	−	5.34949i	0.147598	−	0.178415i
$900$	1.13355	+	0.623172i	0.0377849	+	0.0207724i
$901$	−23.2279	+	5.96392i	−0.773835	+	0.198687i
$902$	14.9963	+	46.1539i	0.499323	+	1.53676i
$903$	66.6815	−	8.42384i	2.21902	−	0.280328i
$904$	22.4358	+	16.3005i	0.746203	+	0.542148i
$905$	0.934385			0.0310600
$906$	−15.1285	−	0.319815i	−0.502610	−	0.0106251i
$907$	−34.2480			−1.13719			−0.568594	−	0.822618i	$-0.692512\pi$
$907$	−34.2480			−1.13719			−0.568594	+	0.822618i	$0.692512\pi$
$908$	14.8054	+	10.7568i	0.491336	+	0.356977i
$909$	10.3525	−	1.30782i	0.343371	−	0.0433778i
$910$	4.46364	+	13.7377i	0.147968	+	0.455399i
$911$	−11.3526	+	2.91486i	−0.376130	+	0.0965738i	−0.432022	−	0.901863i	$-0.642200\pi$
$911$	−11.3526	+	2.91486i	−0.376130	+	0.0965738i	0.0558920	+	0.998437i	$0.482200\pi$
$912$	−0.298681	−	0.164201i	−0.00989031	−	0.00543724i
$913$	−41.2843	+	49.9041i	−1.36631	+	1.65158i
$914$	0.708693	−	2.18113i	0.0234415	−	0.0721454i
$915$	16.6005	−	4.26228i	0.548795	−	0.140907i
$916$	14.5007	+	5.74125i	0.479118	+	0.189696i
$917$	−2.77369	−	0.350399i	−0.0915954	−	0.0115712i
$918$	10.6082	+	22.5436i	0.350123	+	0.744050i
$919$	−7.20286	+	37.7587i	−0.237600	+	1.24554i	0.640833	+	0.767680i	$0.278589\pi$
$919$	−7.20286	+	37.7587i	−0.237600	+	1.24554i	−0.878434	+	0.477865i	$0.841411\pi$
$920$	18.2379	−	4.68270i	0.601287	−	0.154384i
$921$	−27.4217	+	10.8570i	−0.903577	+	0.357752i
$922$	5.46560	−	3.97099i	0.180000	−	0.130778i
$923$	−16.6229	−	20.0936i	−0.547148	−	0.661388i
$924$	−35.0064	−	13.8600i	−1.15163	−	0.455961i
$925$	−0.846187	−	2.60430i	−0.0278225	−	0.0856288i
$926$	−5.60633	−	8.83417i	−0.184236	−	0.290309i
$927$	5.83922	−	9.20114i	0.191785	−	0.302205i
$928$	−4.53738	−	4.26088i	−0.148947	−	0.139870i
$929$	−15.5084	−	47.7300i	−0.508814	−	1.56597i	−0.794262	−	0.607575i	$-0.792142\pi$
$929$	−15.5084	−	47.7300i	−0.508814	−	1.56597i	0.285448	−	0.958394i	$-0.407858\pi$
$930$	−1.44613	+	7.58087i	−0.0474204	+	0.248586i
$931$	31.8812	−	17.5268i	1.04486	−	0.574418i
$932$	9.11646	−	8.56093i	0.298620	−	0.280422i
$933$	−17.2695	+	6.83748i	−0.565378	+	0.223849i
$934$	−11.2435	−	4.45160i	−0.367897	−	0.145661i
$935$	18.3061	+	17.1905i	0.598672	+	0.562191i
$936$	10.8541	+	2.78686i	0.354777	+	0.0910914i
$937$	−0.830234	−	13.1962i	−0.0271226	−	0.431101i	−0.988033	−	0.154242i	$-0.950707\pi$
$937$	−0.830234	−	13.1962i	−0.0271226	−	0.431101i	0.960911	−	0.276859i	$-0.0892935\pi$
$938$	32.0297			1.04581
$939$	41.9322			1.36841
$940$	−0.996546	−	15.8396i	−0.0325037	−	0.516632i
$941$	10.2166	−	21.7113i	0.333051	−	0.707768i	−0.666228	−	0.745748i	$-0.732092\pi$
$941$	10.2166	−	21.7113i	0.333051	−	0.707768i	0.999279	+	0.0379797i	$0.0120922\pi$
$942$	9.92344	+	15.6368i	0.323323	+	0.509476i
$943$	−13.4846	+	70.6888i	−0.439119	+	2.30194i
$944$	−0.0115394	+	0.0355147i	−0.000375577	+	0.00115591i
$945$	−1.56471	+	24.8704i	−0.0509001	+	0.809034i
$946$	−3.06934	+	48.7857i	−0.0997928	+	1.58616i
$947$	17.5485	+	9.64738i	0.570250	+	0.313498i	0.740665	−	0.671875i	$-0.234511\pi$
$947$	17.5485	+	9.64738i	0.570250	+	0.313498i	−0.170415	+	0.985372i	$0.554511\pi$
$948$	14.7845	−	5.85360i	0.480179	−	0.190116i
$949$	9.97318	+	12.0555i	0.323743	+	0.391338i
$950$	0.485594	+	2.54558i	0.0157548	+	0.0825894i
$951$	−12.4864	+	6.86447i	−0.404900	+	0.222596i
$952$	−19.3039	+	59.4113i	−0.625643	+	1.92553i
$953$	14.6263	+	8.04088i	0.473792	+	0.260470i	0.700712	−	0.713444i	$-0.252866\pi$
$953$	14.6263	+	8.04088i	0.473792	+	0.260470i	−0.226920	+	0.973913i	$0.572866\pi$
$954$	3.30006	−	3.09897i	0.106844	−	0.100333i
$955$	1.21250	+	6.35614i	0.0392355	+	0.205680i
$956$	−22.0983	−	2.79166i	−0.714710	−	0.0902889i
$957$	−5.66774	−	5.32236i	−0.183212	−	0.172048i
$958$	−15.1921	+	1.91921i	−0.490836	+	0.0620070i
$959$	−35.5545	+	75.5572i	−1.14812	+	2.43987i
$960$	6.92705	+	1.77856i	0.223570	+	0.0574029i
$961$	−8.21307	+	1.03755i	−0.264938	+	0.0334694i
$962$	−4.80937	−	7.57835i	−0.155060	−	0.244336i
$963$	4.11292	+	8.74039i	0.132537	+	0.281655i
$964$	2.59444	+	13.6005i	0.0835614	+	0.438044i
$965$	5.59607	−	4.06578i	0.180144	−	0.130882i
$966$	22.8827	+	27.6605i	0.736240	+	0.889962i
$967$	51.0102	+	6.44409i	1.64038	+	0.207228i	0.890706	−	0.454580i	$-0.150211\pi$
$967$	51.0102	+	6.44409i	1.64038	+	0.207228i	0.749673	+	0.661808i	$0.230211\pi$
$968$	22.0021	−	34.6698i	0.707176	−	1.11433i
$969$	8.64537	−	18.3724i	0.277729	−	0.590205i
$970$	−2.39729	−	1.74173i	−0.0769723	−	0.0559236i
$971$	3.41806	+	54.3285i	0.109691	+	1.74349i	0.540769	+	0.841171i	$0.318133\pi$
$971$	3.41806	+	54.3285i	0.109691	+	1.74349i	−0.431078	+	0.902314i	$0.641867\pi$
$972$	10.2876	+	7.47436i	0.329974	+	0.239740i
$973$	−50.8801	−	13.0638i	−1.63114	−	0.418806i
$974$	19.7791	−	31.1669i	0.633763	−	0.998651i
$975$	2.19569	+	4.66607i	0.0703182	+	0.149434i
$976$	−0.902054	+	0.495908i	−0.0288740	+	0.0158736i
$977$	−25.7854	+	31.1692i	−0.824949	+	0.997192i	0.174971	+	0.984574i	$0.444017\pi$
$977$	−25.7854	+	31.1692i	−0.824949	+	0.997192i	−0.999920	+	0.0126184i	$0.995983\pi$
$978$	−0.678078	+	10.7777i	−0.0216826	+	0.344634i
$979$	33.5320	−	40.5332i	1.07169	−	1.29545i
$980$	−11.0213	+	10.3497i	−0.352064	+	0.330610i
$981$	−4.33101	+	3.14666i	−0.138279	+	0.100465i
$982$	−6.89606	+	5.01028i	−0.220062	+	0.159884i
$983$	−18.5256	+	17.3967i	−0.590874	+	0.554868i	−0.921245	−	0.388984i	$-0.872826\pi$
$983$	−18.5256	+	17.3967i	−0.590874	+	0.554868i	0.330371	+	0.943851i	$0.392826\pi$
$984$	−27.4718	+	33.2076i	−0.875767	+	1.05862i
$985$	0.599108	−	9.52255i	0.0190892	−	0.303414i
$986$	−3.11120	+	3.76080i	−0.0990809	+	0.119768i
$987$	70.0802	−	38.5269i	2.23068	−	1.22633i
$988$	−5.62484	−	11.9534i	−0.178950	−	0.380288i
$989$	−38.8405	+	61.2028i	−1.23506	+	1.94614i
$990$	−4.59159	−	1.17892i	−0.145930	−	0.0374685i
$991$	−25.9467	−	18.8513i	−0.824223	−	0.598833i	0.0936963	−	0.995601i	$-0.470132\pi$
$991$	−25.9467	−	18.8513i	−0.824223	−	0.598833i	−0.917919	+	0.396768i	$0.870132\pi$
$992$	2.21111	+	35.1447i	0.0702029	+	1.11584i
$993$	−19.7764	−	14.3684i	−0.627586	−	0.455968i
$994$	−11.6844	+	24.8307i	−0.370607	+	0.787581i
$995$	−3.84670	+	6.06143i	−0.121949	+	0.192160i
$996$	−21.5913	−	2.72762i	−0.684147	−	0.0864278i
$997$	−14.4008	−	17.4076i	−0.456079	−	0.551305i	0.491479	−	0.870890i	$-0.336457\pi$
$997$	−14.4008	−	17.4076i	−0.456079	−	0.551305i	−0.947558	+	0.319585i	$0.896457\pi$
$998$	25.3764	−	18.4370i	0.803275	−	0.583614i
$999$	−2.90151	−	15.2102i	−0.0917997	−	0.481231i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	755.2.t.a.81.17	✓	520
151.110	even	25	inner	755.2.t.a.261.17	yes	520

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
755.2.t.a.81.17	✓	520	1.1	even	1	trivial
755.2.t.a.261.17	yes	520	151.110	even	25	inner

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:	\( N \)	\(=\)	\( 755 = 5 \cdot 151 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	755.t (of order \(25\), degree \(20\), minimal)

\(f(q)\)	\(=\)	\(q+(0.715742 + 0.520017i) q^{2} +(-1.38091 + 0.174450i) q^{3} +(-0.376165 - 1.15772i) q^{4} +(0.968583 - 0.248690i) q^{5} +(-1.07910 - 0.593238i) q^{6} +(-2.80902 + 3.39553i) q^{7} +(0.879574 - 2.70705i) q^{8} +(-1.02926 + 0.264268i) q^{9} +(0.822578 + 0.325682i) q^{10} +(5.00268 + 0.631985i) q^{11} +(0.721416 + 1.53309i) q^{12} +(0.694236 - 3.63931i) q^{13} +(-3.77627 + 0.969581i) q^{14} +(-1.29415 + 0.512389i) q^{15} +(0.0676324 - 0.0491378i) q^{16} +(3.17449 + 3.83730i) q^{17} +(-0.874106 - 0.346083i) q^{18} +(0.905172 + 2.78583i) q^{19} +(-0.652260 - 1.02780i) q^{20} +(3.28667 - 5.17897i) q^{21} +(3.25198 + 3.05381i) q^{22} +(2.04424 + 6.29151i) q^{23} +(-0.742371 + 3.89165i) q^{24} +(0.876307 - 0.481754i) q^{25} +(2.38940 - 2.24379i) q^{26} +(5.25765 - 2.08165i) q^{27} +(4.98772 + 1.97478i) q^{28} +(0.807541 + 0.758331i) q^{29} +(-1.19273 - 0.306240i) q^{30} +(-0.393524 - 6.25488i) q^{31} -5.61876 q^{32} -7.01852 q^{33} +(0.276655 + 4.39730i) q^{34} +(-1.87634 + 3.98743i) q^{35} +(0.693118 + 1.09218i) q^{36} +(0.513110 - 2.68982i) q^{37} +(-0.800811 + 2.46464i) q^{38} +(-0.323802 + 5.14669i) q^{39} +(0.178724 - 2.84074i) q^{40} +(9.53277 + 5.24069i) q^{41} +(5.04556 - 1.99768i) q^{42} +(6.98457 + 8.44290i) q^{43} +(-1.15017 - 6.02941i) q^{44} +(-0.931200 + 0.511931i) q^{45} +(-1.80855 + 5.56614i) q^{46} +(11.4252 + 6.28105i) q^{47} +(-0.0848225 + 0.0796536i) q^{48} +(-2.32732 - 12.2002i) q^{49} +(0.877729 + 0.110883i) q^{50} +(-5.05312 - 4.74519i) q^{51} +(-4.47444 + 0.565253i) q^{52} +(-2.05028 + 4.35706i) q^{53} +(4.84562 + 1.24414i) q^{54} +(5.00268 - 0.631985i) q^{55} +(6.72112 + 10.5908i) q^{56} +(-1.73595 - 3.68909i) q^{57} +(0.183646 + 0.962704i) q^{58} +(-0.361379 + 0.262557i) q^{59} +(1.08001 + 1.30551i) q^{60} +(-12.2163 - 1.54328i) q^{61} +(2.97098 - 4.68152i) q^{62} +(1.99388 - 4.23720i) q^{63} +(-4.15685 - 3.02013i) q^{64} +(-0.232635 - 3.69762i) q^{65} +(-5.02345 - 3.64975i) q^{66} +(-7.95728 - 2.04308i) q^{67} +(3.24838 - 5.11862i) q^{68} +(-3.92047 - 8.33143i) q^{69} +(-3.41650 + 1.87824i) q^{70} +(4.48668 - 5.42347i) q^{71} +(-0.189920 + 3.01869i) q^{72} +(-2.69186 + 3.25390i) q^{73} +(1.76600 - 1.65839i) q^{74} +(-1.12606 + 0.818133i) q^{75} +(2.88471 - 2.09587i) q^{76} +(-16.1986 + 15.2115i) q^{77} +(-2.90812 + 3.51532i) q^{78} +(0.589279 - 9.36633i) q^{79} +(0.0532875 - 0.0644136i) q^{80} +(-4.10363 + 2.25599i) q^{81} +(4.09776 + 8.70818i) q^{82} +(-6.88240 + 10.8449i) q^{83} +(-7.23211 - 1.85689i) q^{84} +(4.02906 + 2.92728i) q^{85} +(0.608701 + 9.67503i) q^{86} +(-1.24744 - 0.906315i) q^{87} +(6.11103 - 12.9866i) q^{88} +(5.59004 - 8.80850i) q^{89} +(-0.932712 - 0.117829i) q^{90} +(10.4073 + 12.5802i) q^{91} +(6.51482 - 4.73330i) q^{92} +(1.63459 + 8.56880i) q^{93} +(4.91123 + 10.4369i) q^{94} +(1.56954 + 2.47320i) q^{95} +(7.75903 - 0.980193i) q^{96} +(-3.24415 - 0.832956i) q^{97} +(4.67857 - 9.94246i) q^{98} +(-5.31605 + 0.671573i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 520 q - 140 q^{4} - 5 q^{6} - 5 q^{10} - 15 q^{11} + 20 q^{13} - 15 q^{14} - 160 q^{16} - 45 q^{17} - 105 q^{18} - 5 q^{20} - 70 q^{23} - 40 q^{24} - 15 q^{26} - 45 q^{27} + 145 q^{28} - 45 q^{29} - 30 q^{31}+ \cdots - 140 q^{99}+O(q^{100}) \) 520 * q - 140 * q^4 - 5 * q^6 - 5 * q^10 - 15 * q^11 + 20 * q^13 - 15 * q^14 - 160 * q^16 - 45 * q^17 - 105 * q^18 - 5 * q^20 - 70 * q^23 - 40 * q^24 - 15 * q^26 - 45 * q^27 + 145 * q^28 - 45 * q^29 - 30 * q^31 - 20 * q^32 + 160 * q^33 + 45 * q^34 - 20 * q^35 - 20 * q^36 - 50 * q^37 + 65 * q^38 + 30 * q^39 + 5 * q^40 - 15 * q^41 + 95 * q^42 - 60 * q^44 - 50 * q^46 + 15 * q^47 + 110 * q^48 - 10 * q^49 - 5 * q^50 - 65 * q^51 - 95 * q^52 + 65 * q^53 + 330 * q^54 - 15 * q^55 + 70 * q^56 - 80 * q^58 - 20 * q^59 + 5 * q^60 - 50 * q^61 - 60 * q^62 - 80 * q^63 - 200 * q^64 - 25 * q^65 - 200 * q^66 - 40 * q^67 + 70 * q^68 - 110 * q^69 - 30 * q^70 - 30 * q^71 - 175 * q^72 - 70 * q^73 - 20 * q^74 - 5 * q^75 + 15 * q^76 + 10 * q^77 - 235 * q^78 + 135 * q^79 + 15 * q^80 + 220 * q^81 + 100 * q^82 - 45 * q^83 - 45 * q^84 + 15 * q^85 + 140 * q^86 - 100 * q^87 + 135 * q^88 - 15 * q^89 - 20 * q^90 - 110 * q^91 - 180 * q^92 - 60 * q^93 - 65 * q^94 + 35 * q^95 - 85 * q^96 - 15 * q^97 + 120 * q^98 - 140 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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