LMFDB - Embedded newform 95.2.r.a.3.5

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [95,2,Mod(2,95)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(95, base_ring=CyclotomicField(36)) chi = DirichletCharacter(H, H._module([9, 2])) N = Newforms(chi, 2, names="a")

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("95.2"); S:= CuspForms(chi, 2); N := Newforms(S);

Level:	$ N $	$=$	$ 95 = 5 \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	95.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:	$0.758578819202$
Analytic rank:	$0$
Dimension:	$96$
Relative dimension:	$8$ over $\Q(\zeta_{36})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{36}]$

Embedding invariants

Embedding label			3.5
Character	$\chi$	$=$	95.3
Dual form			95.2.r.a.32.5

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(0.0741107 + 0.847089i) q^{2} +(0.344068 - 0.737855i) q^{3} +(1.25755 - 0.221740i) q^{4} +(0.654653 - 2.13809i) q^{5} +(0.650528 + 0.236773i) q^{6} +(-3.83889 - 1.02863i) q^{7} +(0.721192 + 2.69152i) q^{8} +(1.50231 + 1.79039i) q^{9} +(1.85967 + 0.396094i) q^{10} +(-2.45629 + 4.25442i) q^{11} +(0.269070 - 1.00418i) q^{12} +(1.10589 - 0.515684i) q^{13} +(0.586836 - 3.32811i) q^{14} +(-1.35236 - 1.21869i) q^{15} +(0.173363 - 0.0630990i) q^{16} +(-1.40281 + 0.122730i) q^{17} +(-1.40528 + 1.40528i) q^{18} +(-4.22304 - 1.07980i) q^{19} +(0.349158 - 2.83391i) q^{20} +(-2.07982 + 2.47863i) q^{21} +(-3.78591 - 1.76540i) q^{22} +(-0.867092 + 1.23834i) q^{23} +(2.23409 + 0.393931i) q^{24} +(-4.14286 - 2.79941i) q^{25} +(0.518789 + 0.898569i) q^{26} +(4.19712 - 1.12462i) q^{27} +(-5.05567 - 0.442314i) q^{28} +(1.63627 - 1.37299i) q^{29} +(0.932112 - 1.23588i) q^{30} +(8.01543 - 4.62771i) q^{31} +(2.42153 + 5.19298i) q^{32} +(2.29401 + 3.27619i) q^{33} +(-0.207926 - 1.17921i) q^{34} +(-4.71244 + 7.53450i) q^{35} +(2.28623 + 1.91838i) q^{36} +(-6.74741 - 6.74741i) q^{37} +(0.601718 - 3.65731i) q^{38} -0.993416i q^{39} +(6.22685 + 0.220040i) q^{40} +(0.783311 + 2.15213i) q^{41} +(-2.25375 - 1.57810i) q^{42} +(-1.09842 + 0.769121i) q^{43} +(-2.14553 + 5.89479i) q^{44} +(4.81151 - 2.04000i) q^{45} +(-1.11324 - 0.642730i) q^{46} +(-0.434606 + 4.96757i) q^{47} +(0.0130907 - 0.149627i) q^{48} +(7.61681 + 4.39757i) q^{49} +(2.06432 - 3.71684i) q^{50} +(-0.392104 + 1.07730i) q^{51} +(1.27636 - 0.893717i) q^{52} +(7.59734 + 5.31972i) q^{53} +(1.26370 + 3.47199i) q^{54} +(7.48831 + 8.03693i) q^{55} -11.0743i q^{56} +(-2.24975 + 2.74446i) q^{57} +(1.28431 + 1.28431i) q^{58} +(-9.46359 - 7.94090i) q^{59} +(-1.97088 - 1.23269i) q^{60} +(-1.09383 - 6.20343i) q^{61} +(4.51411 + 6.44682i) q^{62} +(-3.92558 - 8.41843i) q^{63} +(-3.89991 + 2.25161i) q^{64} +(-0.378607 - 2.70208i) q^{65} +(-2.60522 + 2.18604i) q^{66} +(8.76025 + 0.766422i) q^{67} +(-1.73688 + 0.465396i) q^{68} +(0.615374 + 1.06586i) q^{69} +(-6.73163 - 3.43347i) q^{70} +(-2.67473 - 0.471627i) q^{71} +(-3.73542 + 5.33473i) q^{72} +(-0.139300 - 0.0649566i) q^{73} +(5.21560 - 6.21571i) q^{74} +(-3.49099 + 2.09364i) q^{75} +(-5.55010 - 0.421490i) q^{76} +(13.8056 - 13.8056i) q^{77} +(0.841512 - 0.0736228i) q^{78} +(1.57856 - 0.574548i) q^{79} +(-0.0214188 - 0.411974i) q^{80} +(-0.603254 + 3.42123i) q^{81} +(-1.76499 + 0.823030i) q^{82} +(0.200296 - 0.747516i) q^{83} +(-2.06586 + 3.57817i) q^{84} +(-0.655944 + 3.07967i) q^{85} +(-0.732919 - 0.873459i) q^{86} +(-0.450082 - 1.67973i) q^{87} +(-13.2223 - 3.54291i) q^{88} +(-3.86114 - 1.40534i) q^{89} +(2.08465 + 3.92459i) q^{90} +(-4.77583 + 0.842108i) q^{91} +(-0.815821 + 1.74953i) q^{92} +(-0.656731 - 7.50647i) q^{93} -4.24019 q^{94} +(-5.07334 + 8.32233i) q^{95} +4.66483 q^{96} +(0.860973 + 9.84096i) q^{97} +(-3.16065 + 6.77803i) q^{98} +(-11.3072 + 1.99376i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 96 q - 12 q^{2} - 12 q^{3} - 12 q^{5} - 12 q^{6} - 18 q^{8} - 12 q^{10} - 12 q^{11} - 18 q^{12} - 12 q^{13} + 6 q^{15} + 12 q^{16} - 30 q^{17} - 84 q^{20} + 24 q^{21} - 24 q^{22} + 12 q^{25} - 48 q^{26}+ \cdots - 90 q^{98}+O(q^{100}) $ 96 * q - 12 * q^2 - 12 * q^3 - 12 * q^5 - 12 * q^6 - 18 * q^8 - 12 * q^10 - 12 * q^11 - 18 * q^12 - 12 * q^13 + 6 * q^15 + 12 * q^16 - 30 * q^17 - 84 * q^20 + 24 * q^21 - 24 * q^22 + 12 * q^25 - 48 * q^26 - 18 * q^27 - 6 * q^30 - 36 * q^31 + 18 * q^32 + 90 * q^33 - 30 * q^35 + 24 * q^36 + 54 * q^38 + 54 * q^40 + 12 * q^41 + 24 * q^42 + 48 * q^43 + 12 * q^45 - 36 * q^46 - 24 * q^47 + 60 * q^48 + 126 * q^50 - 96 * q^51 - 30 * q^53 + 18 * q^55 - 66 * q^57 + 120 * q^58 + 84 * q^60 - 48 * q^61 + 60 * q^62 - 126 * q^63 + 72 * q^65 + 72 * q^66 + 108 * q^67 + 18 * q^68 + 36 * q^70 - 24 * q^71 + 48 * q^72 + 6 * q^73 + 60 * q^76 + 168 * q^77 - 138 * q^78 - 60 * q^80 - 120 * q^81 + 60 * q^82 - 36 * q^85 - 180 * q^86 - 6 * q^87 - 198 * q^88 - 270 * q^90 - 24 * q^91 - 72 * q^92 - 90 * q^93 - 24 * q^95 - 192 * q^96 - 72 * q^97 - 90 * q^98

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/95\mathbb{Z}\right)^\times$.

$n$	$21$	$77$
$\chi(n)$	$e\left(\frac{13}{18}\right)$	$e\left(\frac{3}{4}\right)$

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 $

$2$	0.0741107	+	0.847089i	0.0524042	+	0.598983i	0.976312	+	0.216367i	$0.0694209\pi$
$2$	0.0741107	+	0.847089i	0.0524042	+	0.598983i	−0.923908	+	0.382615i	$0.875024\pi$
$3$	0.344068	−	0.737855i	0.198648	−	0.426001i	−0.781599	−	0.623781i	$-0.785596\pi$
$3$	0.344068	−	0.737855i	0.198648	−	0.426001i	0.980246	+	0.197780i	$0.0633733\pi$
$4$	1.25755	−	0.221740i	0.628774	−	0.110870i
$5$	0.654653	−	2.13809i	0.292770	−	0.956183i
$5$	0.654653	−	2.13809i	0.292770	−	0.956183i
$6$	0.650528	+	0.236773i	0.265577	+	0.0966622i
$7$	−3.83889	−	1.02863i	−1.45096	−	0.388784i	−0.554605	−	0.832114i	$-0.687131\pi$
$7$	−3.83889	−	1.02863i	−1.45096	−	0.388784i	−0.896359	+	0.443329i	$0.853797\pi$
$8$	0.721192	+	2.69152i	0.254980	+	0.951597i
$9$	1.50231	+	1.79039i	0.500772	+	0.596796i
$10$	1.85967	+	0.396094i	0.588079	+	0.125256i
$11$	−2.45629	+	4.25442i	−0.740599	+	1.28275i	0.211624	+	0.977351i	$0.432125\pi$
$11$	−2.45629	+	4.25442i	−0.740599	+	1.28275i	−0.952223	+	0.305403i	$0.901209\pi$
$12$	0.269070	−	1.00418i	0.0776737	−	0.289882i
$13$	1.10589	−	0.515684i	0.306718	−	0.143025i	−0.263165	−	0.964751i	$-0.584766\pi$
$13$	1.10589	−	0.515684i	0.306718	−	0.143025i	0.569883	+	0.821726i	$0.306988\pi$
$14$	0.586836	−	3.32811i	0.156839	−	0.889476i
$15$	−1.35236	−	1.21869i	−0.349177	−	0.314663i
$16$	0.173363	−	0.0630990i	0.0433408	−	0.0157748i
$17$	−1.40281	+	0.122730i	−0.340231	+	0.0297663i	−0.255991	−	0.966679i	$-0.582402\pi$
$17$	−1.40281	+	0.122730i	−0.340231	+	0.0297663i	−0.0842397	+	0.996446i	$0.526846\pi$
$18$	−1.40528	+	1.40528i	−0.331228	+	0.331228i
$19$	−4.22304	−	1.07980i	−0.968831	−	0.247724i
$19$	−4.22304	−	1.07980i	−0.968831	−	0.247724i
$20$	0.349158	−	2.83391i	0.0780740	−	0.633682i
$21$	−2.07982	+	2.47863i	−0.453853	+	0.540881i
$22$	−3.78591	−	1.76540i	−0.807158	−	0.376384i
$23$	−0.867092	+	1.23834i	−0.180801	+	0.258211i	−0.899315	−	0.437302i	$-0.855934\pi$
$23$	−0.867092	+	1.23834i	−0.180801	+	0.258211i	0.718513	+	0.695513i	$0.244823\pi$
$24$	2.23409	+	0.393931i	0.456032	+	0.0804108i
$25$	−4.14286	−	2.79941i	−0.828572	−	0.559882i
$26$	0.518789	+	0.898569i	0.101743	+	0.176224i
$27$	4.19712	−	1.12462i	0.807737	−	0.216432i
$28$	−5.05567	−	0.442314i	−0.955432	−	0.0835895i
$29$	1.63627	−	1.37299i	0.303847	−	0.254958i	−0.478096	−	0.878307i	$-0.658673\pi$
$29$	1.63627	−	1.37299i	0.303847	−	0.254958i	0.781943	+	0.623350i	$0.214229\pi$
$30$	0.932112	−	1.23588i	0.170180	−	0.225641i
$31$	8.01543	−	4.62771i	1.43961	−	0.831161i	0.441791	−	0.897118i	$-0.354343\pi$
$31$	8.01543	−	4.62771i	1.43961	−	0.831161i	0.997823	+	0.0659564i	$0.0210098\pi$
$32$	2.42153	+	5.19298i	0.428069	+	0.917997i
$33$	2.29401	+	3.27619i	0.399337	+	0.570312i
$34$	−0.207926	−	1.17921i	−0.0356590	−	0.202232i
$35$	−4.71244	+	7.53450i	−0.796547	+	1.27356i
$36$	2.28623	+	1.91838i	0.381039	+	0.319729i
$37$	−6.74741	−	6.74741i	−1.10927	−	1.10927i	−0.993247	−	0.116021i	$-0.962986\pi$
$37$	−6.74741	−	6.74741i	−1.10927	−	1.10927i	−0.116021	−	0.993247i	$-0.537014\pi$
$38$	0.601718	−	3.65731i	0.0976115	−	0.593294i
$39$		−	0.993416i		−	0.159074i
$40$	6.22685	+	0.220040i	0.984552	+	0.0347914i
$41$	0.783311	+	2.15213i	0.122333	+	0.336106i	0.985710	−	0.168453i	$-0.0538772\pi$
$41$	0.783311	+	2.15213i	0.122333	+	0.336106i	−0.863377	+	0.504559i	$0.831655\pi$
$42$	−2.25375	−	1.57810i	−0.347762	−	0.243506i
$43$	−1.09842	+	0.769121i	−0.167507	+	0.117290i	−0.654324	−	0.756214i	$-0.727047\pi$
$43$	−1.09842	+	0.769121i	−0.167507	+	0.117290i	0.486817	+	0.873504i	$0.338158\pi$
$44$	−2.14553	+	5.89479i	−0.323450	+	0.888672i
$45$	4.81151	−	2.04000i	0.717257	−	0.304106i
$46$	−1.11324	−	0.642730i	−0.164138	−	0.0947654i
$47$	−0.434606	+	4.96757i	−0.0633939	+	0.724595i	0.896282	+	0.443485i	$0.146258\pi$
$47$	−0.434606	+	4.96757i	−0.0633939	+	0.724595i	−0.959676	+	0.281110i	$0.909297\pi$
$48$	0.0130907	−	0.149627i	0.00188948	−	0.0215968i
$49$	7.61681	+	4.39757i	1.08812	+	0.628224i
$50$	2.06432	−	3.71684i	0.291939	−	0.525640i
$51$	−0.392104	+	1.07730i	−0.0549055	+	0.150852i
$52$	1.27636	−	0.893717i	0.176999	−	0.123936i
$53$	7.59734	+	5.31972i	1.04358	+	0.730719i	0.963944	−	0.266105i	$-0.0857368\pi$
$53$	7.59734	+	5.31972i	1.04358	+	0.730719i	0.0796315	+	0.996824i	$0.474626\pi$
$54$	1.26370	+	3.47199i	0.171968	+	0.472478i
$55$	7.48831	+	8.03693i	1.00972	+	1.08370i
$56$		−	11.0743i		−	1.47987i
$57$	−2.24975	+	2.74446i	−0.297986	+	0.363513i
$58$	1.28431	+	1.28431i	0.168638	+	0.168638i
$59$	−9.46359	−	7.94090i	−1.23205	−	1.03382i	−0.998103	−	0.0615685i	$-0.980390\pi$
$59$	−9.46359	−	7.94090i	−1.23205	−	1.03382i	−0.233952	−	0.972248i	$-0.575166\pi$
$60$	−1.97088	−	1.23269i	−0.254440	−	0.159139i
$61$	−1.09383	−	6.20343i	−0.140051	−	0.794268i	−0.971209	−	0.238231i	$-0.923432\pi$
$61$	−1.09383	−	6.20343i	−0.140051	−	0.794268i	0.831158	−	0.556037i	$-0.187679\pi$
$62$	4.51411	+	6.44682i	0.573293	+	0.818747i
$63$	−3.92558	−	8.41843i	−0.494576	−	1.06062i
$64$	−3.89991	+	2.25161i	−0.487489	+	0.281452i
$65$	−0.378607	−	2.70208i	−0.0469604	−	0.335152i
$66$	−2.60522	+	2.18604i	−0.320680	+	0.269082i
$67$	8.76025	+	0.766422i	1.07023	+	0.0936334i	0.608631	−	0.793453i	$-0.291719\pi$
$67$	8.76025	+	0.766422i	1.07023	+	0.0936334i	0.461603	+	0.887087i	$0.347274\pi$
$68$	−1.73688	+	0.465396i	−0.210628	+	0.0564376i
$69$	0.615374	+	1.06586i	0.0740823	+	0.128314i
$70$	−6.73163	−	3.43347i	−0.804584	−	0.410378i
$71$	−2.67473	−	0.471627i	−0.317432	−	0.0559718i	0.0126621	−	0.999920i	$-0.495969\pi$
$71$	−2.67473	−	0.471627i	−0.317432	−	0.0559718i	−0.330094	+	0.943948i	$0.607081\pi$
$72$	−3.73542	+	5.33473i	−0.440223	+	0.628704i
$73$	−0.139300	−	0.0649566i	−0.0163038	−	0.00760259i	0.414449	−	0.910072i	$-0.363974\pi$
$73$	−0.139300	−	0.0649566i	−0.0163038	−	0.00760259i	−0.430753	+	0.902470i	$0.641752\pi$
$74$	5.21560	−	6.21571i	0.606302	−	0.722562i
$75$	−3.49099	+	2.09364i	−0.403104	+	0.241753i
$76$	−5.55010	−	0.421490i	−0.636640	−	0.0483482i
$77$	13.8056	−	13.8056i	1.57330	−	1.57330i
$78$	0.841512	−	0.0736228i	0.0952825	−	0.00833614i
$79$	1.57856	−	0.574548i	0.177602	−	0.0646417i	−0.251689	−	0.967808i	$-0.580986\pi$
$79$	1.57856	−	0.574548i	0.177602	−	0.0646417i	0.429290	+	0.903167i	$0.358764\pi$
$80$	−0.0214188	−	0.411974i	−0.00239469	−	0.0460601i
$81$	−0.603254	+	3.42123i	−0.0670283	+	0.380136i
$82$	−1.76499	+	0.823030i	−0.194911	+	0.0908885i
$83$	0.200296	−	0.747516i	0.0219854	−	0.0820505i	−0.954062	−	0.299611i	$-0.903143\pi$
$83$	0.200296	−	0.747516i	0.0219854	−	0.0820505i	0.976047	+	0.217560i	$0.0698099\pi$
$84$	−2.06586	+	3.57817i	−0.225403	+	0.390410i
$85$	−0.655944	+	3.07967i	−0.0711471	+	0.334037i
$86$	−0.732919	−	0.873459i	−0.0790327	−	0.0941875i
$87$	−0.450082	−	1.67973i	−0.0482538	−	0.180086i
$88$	−13.2223	−	3.54291i	−1.40950	−	0.377675i
$89$	−3.86114	−	1.40534i	−0.409280	−	0.148966i	0.129171	−	0.991622i	$-0.458768\pi$
$89$	−3.86114	−	1.40534i	−0.409280	−	0.148966i	−0.538452	+	0.842656i	$0.680991\pi$
$90$	2.08465	+	3.92459i	0.219741	+	0.413688i
$91$	−4.77583	+	0.842108i	−0.500643	+	0.0882769i
$92$	−0.815821	+	1.74953i	−0.0850552	+	0.182402i
$93$	−0.656731	−	7.50647i	−0.0680999	−	0.778385i
$94$	−4.24019			−0.437342
$95$	−5.07334	+	8.32233i	−0.520513	+	0.853853i
$96$	4.66483			0.476103
$97$	0.860973	+	9.84096i	0.0874185	+	0.999198i	0.905570	+	0.424196i	$0.139443\pi$
$97$	0.860973	+	9.84096i	0.0874185	+	0.999198i	−0.818152	+	0.575002i	$0.805001\pi$
$98$	−3.16065	+	6.77803i	−0.319273	+	0.684684i
$99$	−11.3072	+	1.99376i	−1.13641	+	0.200380i
$100$	−5.83058	−	2.60176i	−0.583058	−	0.260176i
$101$	8.19112	+	2.98132i	0.815047	+	0.296653i	0.715707	−	0.698401i	$-0.246105\pi$
$101$	8.19112	+	2.98132i	0.815047	+	0.296653i	0.0993398	+	0.995054i	$0.468327\pi$
$102$	−0.941625	−	0.252308i	−0.0932348	−	0.0249822i
$103$	0.0994278	+	0.371070i	0.00979691	+	0.0365626i	0.970651	−	0.240491i	$-0.0773086\pi$
$103$	0.0994278	+	0.371070i	0.00979691	+	0.0365626i	−0.960854	+	0.277054i	$0.910642\pi$
$104$	2.18553	+	2.60462i	0.214309	+	0.255404i
$105$	3.93797	+	6.06947i	0.384307	+	0.592320i
$106$	−3.94323	+	6.82988i	−0.383000	+	0.663376i
$107$	2.22050	−	8.28702i	0.214664	−	0.801137i	−0.771621	−	0.636083i	$-0.780554\pi$
$107$	2.22050	−	8.28702i	0.214664	−	0.801137i	0.986285	−	0.165054i	$-0.0527797\pi$
$108$	5.02871	−	2.34493i	0.483888	−	0.225641i
$109$	1.11653	−	6.33215i	0.106944	−	0.606510i	−0.883482	−	0.468465i	$-0.844807\pi$
$109$	1.11653	−	6.33215i	0.106944	−	0.606510i	0.990426	−	0.138045i	$-0.0440818\pi$
$110$	−6.25303	+	6.93889i	−0.596203	+	0.661597i
$111$	−7.30018	+	2.65705i	−0.692902	+	0.252196i
$112$	−0.730427	+	0.0639041i	−0.0690189	+	0.00603837i
$113$	11.4607	−	11.4607i	1.07813	−	1.07813i	0.0814546	−	0.996677i	$-0.474043\pi$
$113$	11.4607	−	11.4607i	1.07813	−	1.07813i	0.996677	−	0.0814546i	$-0.0259566\pi$
$114$	−2.49154	−	1.70234i	−0.233354	−	0.159439i
$115$	2.08003	+	2.66460i	0.193964	+	0.248475i
$116$	1.75324	−	2.08942i	0.162784	−	0.193998i
$117$	2.58467	+	1.20525i	0.238953	+	0.111425i
$118$	6.02529	−	8.60501i	0.554673	−	0.792156i
$119$	5.51146	+	0.971819i	0.505235	+	0.0890865i
$120$	2.30482	−	4.51881i	0.210400	−	0.412509i
$121$	−6.56670	−	11.3739i	−0.596973	−	1.03399i
$122$	5.17379	−	1.38631i	0.468413	−	0.125511i
$123$	1.85747	+	0.162508i	0.167483	+	0.0146528i
$124$	9.05364	−	7.59691i	0.813041	−	0.682222i
$125$	−8.69753	+	7.02517i	−0.777931	+	0.628350i
$126$	6.84023	−	3.94921i	0.609376	−	0.351824i
$127$	1.58848	+	3.40651i	0.140955	+	0.302279i	0.964094	−	0.265561i	$-0.0855571\pi$
$127$	1.58848	+	3.40651i	0.140955	+	0.302279i	−0.823139	+	0.567840i	$0.807779\pi$
$128$	4.37663	+	6.25048i	0.386843	+	0.552469i
$129$	0.189570	+	1.07510i	0.0166907	+	0.0946577i
$130$	2.26085	−	0.520967i	0.198289	−	0.0456918i
$131$	−6.85330	−	5.75060i	−0.598775	−	0.502432i	0.292277	−	0.956334i	$-0.405587\pi$
$131$	−6.85330	−	5.75060i	−0.598775	−	0.502432i	−0.891052	+	0.453902i	$0.850032\pi$
$132$	3.61129	+	3.61129i	0.314323	+	0.314323i
$133$	15.1010	+	8.48917i	1.30943	+	0.736105i
$134$			7.47751i			0.645959i
$135$	0.343127	−	9.71006i	0.0295317	−	0.835709i
$136$	−1.34202	−	3.68718i	−0.115077	−	0.316173i
$137$	−4.67796	−	3.27554i	−0.399665	−	0.279848i	0.356415	−	0.934328i	$-0.383999\pi$
$137$	−4.67796	−	3.27554i	−0.399665	−	0.279848i	−0.756080	+	0.654479i	$0.772888\pi$
$138$	−0.857272	+	0.600268i	−0.0729758	+	0.0510982i
$139$	−3.42015	+	9.39679i	−0.290094	+	0.797026i	0.705958	+	0.708253i	$0.250517\pi$
$139$	−3.42015	+	9.39679i	−0.290094	+	0.797026i	−0.996052	+	0.0887722i	$0.971706\pi$
$140$	−4.25542	+	10.5199i	−0.359648	+	0.889096i
$141$	3.51582	+	2.02986i	0.296085	+	0.170945i
$142$	0.201284	−	2.30069i	0.0168914	−	0.193069i
$143$	−0.522445	+	5.97158i	−0.0436891	+	0.499368i
$144$	0.373418	+	0.215593i	0.0311182	+	0.0179661i
$145$	−1.86439	−	4.39731i	−0.154829	−	0.365177i
$146$	0.0447004	−	0.122813i	0.00369943	−	0.0101641i
$147$	5.86547	−	4.10704i	0.483776	−	0.338743i
$148$	−9.98136	−	6.98902i	−0.820463	−	0.574494i
$149$	1.44345	+	3.96584i	0.118252	+	0.324894i	0.984671	−	0.174424i	$-0.0558062\pi$
$149$	1.44345	+	3.96584i	0.118252	+	0.324894i	−0.866419	+	0.499318i	$0.833584\pi$
$150$	−2.03222	−	2.80201i	−0.165930	−	0.228784i
$151$			16.0056i			1.30252i	0.758856	+	0.651258i	$0.225758\pi$
$151$			16.0056i			1.30252i	−0.758856	+	0.651258i	$0.774242\pi$
$152$	−0.139302	−	12.1451i	−0.0112989	−	0.985101i
$153$	−2.32719	−	2.32719i	−0.188142	−	0.188142i
$154$	12.7177	+	10.6714i	1.02482	+	0.859930i
$155$	−4.64714	−	20.1673i	−0.373267	−	1.61987i
$156$	−0.220280	−	1.24927i	−0.0176365	−	0.100021i
$157$	7.23463	+	10.3321i	0.577386	+	0.824593i	0.996522	−	0.0833309i	$-0.0265558\pi$
$157$	7.23463	+	10.3321i	0.577386	+	0.824593i	−0.419136	+	0.907923i	$0.637667\pi$
$158$	0.603681	+	1.29460i	0.0480263	+	0.102993i
$159$	6.53918	−	3.77540i	0.518591	−	0.299409i
$160$	12.6883	−	1.77784i	1.00310	−	0.140551i
$161$	4.60245	−	3.86192i	0.362724	−	0.304362i
$162$	−2.94279	−	0.257461i	−0.231208	−	0.0202280i
$163$	10.3009	−	2.76013i	0.806833	−	0.216190i	0.168251	−	0.985744i	$-0.446188\pi$
$163$	10.3009	−	2.76013i	0.806833	−	0.216190i	0.638582	+	0.769554i	$0.279521\pi$
$164$	1.46226	+	2.53271i	0.114184	+	0.197772i
$165$	8.50658	−	2.76004i	0.662236	−	0.214869i
$166$	0.648057	+	0.114270i	0.0502990	+	0.00886907i
$167$	−1.34413	+	1.91962i	−0.104012	+	0.148545i	−0.867784	−	0.496941i	$-0.834456\pi$
$167$	−1.34413	+	1.91962i	−0.104012	+	0.148545i	0.763772	+	0.645486i	$0.223345\pi$
$168$	−8.17123	−	3.81031i	−0.630424	−	0.293972i
$169$	−7.39918	+	8.81800i	−0.569168	+	0.678308i
$170$	−2.65737	−	0.327406i	−0.203811	−	0.0251109i
$171$	−4.41106	−	9.18308i	−0.337322	−	0.702248i
$172$	−1.21077	+	1.21077i	−0.0923203	+	0.0923203i
$173$	−12.5886	+	1.10136i	−0.957090	+	0.0837345i	−0.554986	−	0.831860i	$-0.687276\pi$
$173$	−12.5886	+	1.10136i	−0.957090	+	0.0837345i	−0.402104	+	0.915594i	$0.631721\pi$
$174$	1.38952	−	0.505745i	0.105340	−	0.0383405i
$175$	13.0244	+	15.0081i	0.984554	+	1.13450i
$176$	−0.157380	+	0.892548i	−0.0118630	+	0.0672784i
$177$	−9.11535	+	4.25056i	−0.685152	+	0.319491i
$178$	0.904298	−	3.37488i	0.0677800	−	0.252958i
$179$	3.40041	−	5.88969i	0.254159	−	0.440216i	−0.710508	−	0.703689i	$-0.751535\pi$
$179$	3.40041	−	5.88969i	0.254159	−	0.440216i	0.964667	+	0.263473i	$0.0848681\pi$
$180$	5.59835	−	3.63230i	0.417276	−	0.270736i
$181$	12.5267	+	14.9288i	0.931106	+	1.10965i	0.993752	+	0.111613i	$0.0356016\pi$
$181$	12.5267	+	14.9288i	0.931106	+	1.10965i	−0.0626462	+	0.998036i	$0.519954\pi$
$182$	−1.06728	−	3.98315i	−0.0791121	−	0.295250i
$183$	−4.95359	−	1.32731i	−0.366180	−	0.0981175i
$184$	−3.95835	−	1.44072i	−0.291813	−	0.106211i
$185$	−18.8438	+	10.0094i	−1.38542	+	0.735903i
$186$	6.30998	−	1.11262i	0.462670	−	0.0815813i
$187$	2.92355	−	6.26958i	0.213791	−	0.458477i
$188$	0.554970	+	6.34333i	0.0404753	+	0.462635i
$189$	−17.2691			−1.25614
$190$	−7.42575	−	3.68080i	−0.538720	−	0.267033i
$191$	−18.5918			−1.34525			−0.672627	−	0.739982i	$-0.734834\pi$
$191$	−18.5918			−1.34525			−0.672627	+	0.739982i	$0.734834\pi$
$192$	0.319533	+	3.65228i	0.0230603	+	0.263580i
$193$	−7.75406	+	16.6286i	−0.558149	+	1.19696i	0.401527	+	0.915847i	$0.368480\pi$
$193$	−7.75406	+	16.6286i	−0.558149	+	1.19696i	−0.959676	+	0.281108i	$0.909298\pi$
$194$	−8.27237	+	1.45864i	−0.593921	+	0.104724i
$195$	−2.12401	−	0.650342i	−0.152104	−	0.0465720i
$196$	10.5536	+	3.84120i	0.753830	+	0.274372i
$197$	−10.9281	−	2.92819i	−0.778598	−	0.208625i	−0.152431	−	0.988314i	$-0.548710\pi$
$197$	−10.9281	−	2.92819i	−0.778598	−	0.208625i	−0.626166	+	0.779690i	$0.715377\pi$
$198$	−2.52688	−	9.43043i	−0.179577	−	0.670191i
$199$	−7.77099	−	9.26110i	−0.550871	−	0.656502i	0.416717	−	0.909036i	$-0.363180\pi$
$199$	−7.77099	−	9.26110i	−0.550871	−	0.656502i	−0.967588	+	0.252534i	$0.918736\pi$
$200$	4.54689	−	13.1695i	0.321514	−	0.931226i
$201$	3.57963	−	6.20009i	0.252487	−	0.437321i
$202$	−1.91840	+	7.15956i	−0.134978	+	0.503745i
$203$	−7.69373	+	3.58765i	−0.539994	+	0.251803i
$204$	−0.254210	+	1.44170i	−0.0177983	+	0.100939i
$205$	5.11424	−	0.265893i	0.357194	−	0.0185708i
$206$	−0.306960	+	0.111724i	−0.0213870	+	0.00778421i
$207$	−3.51975	+	0.307938i	−0.244639	+	0.0214032i
$208$	0.159181	−	0.159181i	0.0110372	−	0.0110372i
$209$	14.9669	−	15.3142i	1.03528	−	1.05931i
$210$	−4.84954	+	3.78563i	−0.334650	+	0.261233i
$211$	4.77188	−	5.68690i	0.328509	−	0.391502i	−0.576357	−	0.817198i	$-0.695526\pi$
$211$	4.77188	−	5.68690i	0.328509	−	0.391502i	0.904866	+	0.425696i	$0.139971\pi$
$212$	10.7336	+	5.00517i	0.737188	+	0.343756i
$213$	−1.26828	+	1.81129i	−0.0869011	+	0.124108i
$214$	7.18441	+	1.26681i	0.491116	+	0.0865970i
$215$	0.925368	+	2.85203i	0.0631096	+	0.194507i
$216$	6.05386	+	10.4856i	0.411913	+	0.713454i
$217$	−35.5305	+	9.52038i	−2.41197	+	0.646285i
$218$	5.44664	+	0.476520i	0.368893	+	0.0322740i
$219$	−0.0958571	+	0.0804337i	−0.00647742	+	0.00543520i
$220$	11.1990	+	8.44637i	0.755037	+	0.569454i
$221$	−1.48806	+	0.859131i	−0.100098	+	0.0577914i
$222$	−2.79178	−	5.98699i	−0.187372	−	0.401820i
$223$	−8.33065	−	11.8974i	−0.557861	−	0.796708i	0.436837	−	0.899540i	$-0.356098\pi$
$223$	−8.33065	−	11.8974i	−0.557861	−	0.796708i	−0.994699	+	0.102832i	$0.967210\pi$
$224$	−3.95433	−	22.4261i	−0.264210	−	1.49841i
$225$	−1.21184	−	11.6229i	−0.0807895	−	0.774862i
$226$	10.5576	+	8.85887i	0.702281	+	0.589283i
$227$	3.07432	+	3.07432i	0.204050	+	0.204050i	0.801733	−	0.597683i	$-0.203912\pi$
$227$	3.07432	+	3.07432i	0.204050	+	0.204050i	−0.597683	+	0.801733i	$0.703912\pi$
$228$	−2.22061	+	3.95015i	−0.147063	+	0.261605i
$229$		−	18.5866i		−	1.22824i	−0.789214	−	0.614119i	$-0.789512\pi$
$229$		−	18.5866i		−	1.22824i	0.789214	−	0.614119i	$-0.210488\pi$
$230$	−2.10300	+	1.95945i	−0.138668	+	0.129202i
$231$	−5.43648	−	14.9366i	−0.357694	−	0.982757i
$232$	4.87549	+	3.41386i	0.320092	+	0.224131i
$233$	−18.0369	+	12.6296i	−1.18164	+	0.827390i	−0.988116	−	0.153707i	$-0.950879\pi$
$233$	−18.0369	+	12.6296i	−1.18164	+	0.827390i	−0.193519	+	0.981097i	$0.561990\pi$
$234$	−0.829403	+	2.27877i	−0.0542198	+	0.148968i
$235$	10.3366	+	4.18126i	0.674286	+	0.272756i
$236$	−13.6617	−	7.88760i	−0.889303	−	0.513439i
$237$	0.119197	−	1.36243i	0.00774269	−	0.0884993i
$238$	−0.414760	+	4.74072i	−0.0268849	+	0.307295i
$239$	−2.93366	−	1.69375i	−0.189763	−	0.109560i	0.402109	−	0.915592i	$-0.368277\pi$
$239$	−2.93366	−	1.69375i	−0.189763	−	0.109560i	−0.591872	+	0.806032i	$0.701611\pi$
$240$	−0.311347	−	0.125943i	−0.0200973	−	0.00812958i
$241$	−0.0368288	+	0.101186i	−0.00237235	+	0.00651798i	−0.940873	−	0.338759i	$-0.889993\pi$
$241$	−0.0368288	+	0.101186i	−0.00237235	+	0.00651798i	0.938501	+	0.345277i	$0.112215\pi$
$242$	9.14801	−	6.40550i	0.588056	−	0.411761i
$243$	12.9949	+	9.09913i	0.833623	+	0.583709i
$244$	−2.75109	−	7.55856i	−0.176121	−	0.483887i
$245$	14.3888	−	13.4066i	0.919264	−	0.856513i
$246$			1.58549i			0.101087i
$247$	−5.22704	+	0.983611i	−0.332589	+	0.0625857i
$248$	18.2363	+	18.2363i	1.15800	+	1.15800i
$249$	−0.482643	−	0.404986i	−0.0305863	−	0.0256649i
$250$	−6.59552	−	6.84694i	−0.417138	−	0.433039i
$251$	3.71248	+	21.0545i	0.234330	+	1.32895i	0.844020	+	0.536311i	$0.180183\pi$
$251$	3.71248	+	21.0545i	0.234330	+	1.32895i	−0.609691	+	0.792639i	$0.708706\pi$
$252$	−6.80330	−	9.71612i	−0.428567	−	0.612058i
$253$	−3.13857	−	6.73067i	−0.197320	−	0.423154i
$254$	−2.76790	+	1.59805i	−0.173673	+	0.100270i
$255$	2.04666	+	1.54361i	0.128167	+	0.0966644i
$256$	−11.8697	+	9.95986i	−0.741856	+	0.622491i
$257$	−12.5607	−	1.09892i	−0.783518	−	0.0685489i	−0.311625	−	0.950205i	$-0.600873\pi$
$257$	−12.5607	−	1.09892i	−0.783518	−	0.0685489i	−0.471892	+	0.881656i	$0.656429\pi$
$258$	−0.896660	+	0.240259i	−0.0558236	+	0.0149579i
$259$	18.9620	+	32.8431i	1.17824	+	2.04077i
$260$	−1.07528	−	3.31405i	−0.0666857	−	0.205528i
$261$	4.91637	+	0.866889i	0.304316	+	0.0536591i
$262$	4.36337	−	6.23153i	0.269570	−	0.384985i
$263$	24.1482	+	11.2605i	1.48904	+	0.694351i	0.985509	−	0.169626i	$-0.0542559\pi$
$263$	24.1482	+	11.2605i	1.48904	+	0.694351i	0.503532	+	0.863977i	$0.332034\pi$
$264$	−7.16352	+	8.53715i	−0.440884	+	0.525426i
$265$	16.3477	−	12.7612i	1.00423	−	0.783917i
$266$	−6.07194	+	13.4211i	−0.372294	+	0.822899i
$267$	−2.36543	+	2.36543i	−0.144762	+	0.144762i
$268$	11.1864	−	0.978681i	0.683317	−	0.0597825i
$269$	12.1556	−	4.42428i	0.741141	−	0.269753i	0.0562682	−	0.998416i	$-0.482080\pi$
$269$	12.1556	−	4.42428i	0.741141	−	0.269753i	0.684873	+	0.728662i	$0.259858\pi$
$270$	8.25072	−	0.428960i	0.502123	−	0.0261057i
$271$	3.22437	−	18.2863i	0.195866	−	1.11081i	−0.715313	−	0.698804i	$-0.753716\pi$
$271$	3.22437	−	18.2863i	0.195866	−	1.11081i	0.911180	−	0.412009i	$-0.135173\pi$
$272$	−0.235451	+	0.109793i	−0.0142763	+	0.00665715i
$273$	−1.02185	+	3.81361i	−0.0618455	+	0.230810i
$274$	2.42799	−	4.20540i	0.146680	−	0.254058i
$275$	22.0859	−	10.7493i	1.33183	−	0.648206i
$276$	1.01021	+	1.20392i	0.0608072	+	0.0724672i
$277$	−4.08087	−	15.2300i	−0.245195	−	0.915082i	−0.973285	−	0.229600i	$-0.926258\pi$
$277$	−4.08087	−	15.2300i	−0.245195	−	0.915082i	0.728090	−	0.685482i	$-0.240408\pi$
$278$	−8.21339	−	2.20077i	−0.492607	−	0.131994i
$279$	20.3271	+	7.39846i	1.21695	+	0.442934i
$280$	−23.6778	−	7.24982i	−1.41502	−	0.433259i
$281$	0.225686	−	0.0397945i	0.0134633	−	0.00237394i	−0.166912	−	0.985972i	$-0.553380\pi$
$281$	0.225686	−	0.0397945i	0.0134633	−	0.00237394i	0.180376	+	0.983598i	$0.442269\pi$
$282$	−1.45891	+	3.12865i	−0.0868769	+	0.186308i
$283$	−1.12979	−	12.9136i	−0.0671591	−	0.767632i	−0.952867	−	0.303389i	$-0.901882\pi$
$283$	−1.12979	−	12.9136i	−0.0671591	−	0.767632i	0.885708	−	0.464243i	$-0.153674\pi$
$284$	−3.46818			−0.205799
$285$	4.39511	+	6.60683i	0.260344	+	0.391355i
$286$	−5.09718			−0.301403
$287$	−0.793305	−	9.06752i	−0.0468273	−	0.535239i
$288$	−5.65956	+	12.1370i	−0.333493	+	0.715177i
$289$	−14.7889	+	2.60769i	−0.869937	+	0.153393i
$290$	3.58675	−	1.90519i	0.210621	−	0.111877i
$291$	7.55744	+	2.75068i	0.443025	+	0.161248i
$292$	−0.189580	−	0.0507977i	−0.0110943	−	0.00297271i
$293$	1.97297	+	7.36321i	0.115262	+	0.430163i	0.999306	−	0.0372396i	$-0.0118565\pi$
$293$	1.97297	+	7.36321i	0.115262	+	0.430163i	−0.884044	+	0.467403i	$0.845190\pi$
$294$	3.91373	+	4.66420i	0.228253	+	0.272022i
$295$	−23.1737	+	15.0355i	−1.34923	+	0.875400i
$296$	13.2946	−	23.0270i	0.772735	−	1.33842i
$297$	−5.52476	+	20.6187i	−0.320579	+	1.19642i
$298$	−3.25244	+	1.51664i	−0.188409	+	0.0878566i
$299$	−0.320317	+	1.81661i	−0.0185244	+	0.105057i
$300$	−3.92584	+	3.40695i	−0.226658	+	0.196700i
$301$	5.00785	−	1.82271i	0.288648	−	0.105059i
$302$	−13.5582	+	1.18619i	−0.780184	+	0.0682573i
$303$	5.01808	−	5.01808i	0.288281	−	0.288281i
$304$	−0.800253	+	0.0792713i	−0.0458977	+	0.00454652i
$305$	−13.9796	−	1.72238i	−0.800468	−	0.0986231i
$306$	1.79887	−	2.14381i	0.102835	−	0.122553i
$307$	24.9542	+	11.6364i	1.42421	+	0.664122i	0.973530	−	0.228561i	$-0.0734022\pi$
$307$	24.9542	+	11.6364i	1.42421	+	0.664122i	0.450685	+	0.892683i	$0.351180\pi$
$308$	14.3000	−	20.4225i	0.814817	−	1.16368i
$309$	0.308006	+	0.0543097i	0.0175218	+	0.00308957i
$310$	16.7391	−	5.43115i	0.950715	−	0.308469i
$311$	3.61837	+	6.26721i	0.205179	+	0.355381i	0.950190	−	0.311672i	$-0.100889\pi$
$311$	3.61837	+	6.26721i	0.205179	+	0.355381i	−0.745011	+	0.667053i	$0.767556\pi$
$312$	2.67380	−	0.716443i	0.151374	−	0.0405606i
$313$	−5.80964	−	0.508278i	−0.328381	−	0.0287296i	−0.0782264	−	0.996936i	$-0.524926\pi$
$313$	−5.80964	−	0.508278i	−0.328381	−	0.0287296i	−0.250154	+	0.968206i	$0.580481\pi$
$314$	−8.21606	+	6.89409i	−0.463659	+	0.389056i
$315$	−20.5692	+	2.88209i	−1.15895	+	0.162388i
$316$	1.85771	−	1.07255i	0.104504	−	0.0603356i
$317$	−1.23887	−	2.65676i	−0.0695818	−	0.149219i	0.868441	−	0.495793i	$-0.165123\pi$
$317$	−1.23887	−	2.65676i	−0.0695818	−	0.149219i	−0.938022	+	0.346574i	$0.887345\pi$
$318$	3.68272	+	5.25947i	0.206517	+	0.294937i
$319$	1.82213	+	10.3338i	0.102020	+	0.578582i
$320$	2.26107	+	9.81238i	0.126398	+	0.548529i
$321$	−5.35062	−	4.48970i	−0.298643	−	0.250591i
$322$	3.61248	+	3.61248i	0.201316	+	0.201316i
$323$	6.05663	+	0.996463i	0.337000	+	0.0554447i
$324$			4.43612i			0.246451i
$325$	−6.02516	−	0.959430i	−0.334215	−	0.0532196i
$326$	3.10149	+	8.52127i	0.171776	+	0.471949i
$327$	−4.28805	−	3.00253i	−0.237130	−	0.166040i
$328$	−5.22759	+	3.66040i	−0.288645	+	0.202112i
$329$	6.77819	−	18.6229i	0.373694	−	1.02671i
$330$	2.96843	+	7.00128i	0.163407	+	0.385408i
$331$	7.17253	+	4.14106i	0.394238	+	0.227613i	0.683995	−	0.729487i	$-0.260241\pi$
$331$	7.17253	+	4.14106i	0.394238	+	0.227613i	−0.289757	+	0.957100i	$0.593574\pi$
$332$	0.0861283	−	0.984451i	0.00472690	−	0.0540288i
$333$	1.94376	−	22.2172i	0.106517	−	1.21750i
$334$	−1.72571	−	0.996337i	−0.0944264	−	0.0545171i
$335$	7.37360	−	18.2285i	0.402863	−	0.995927i
$336$	−0.204164	+	0.560937i	−0.0111381	+	0.0306016i
$337$	12.2046	−	8.54575i	0.664827	−	0.465517i	−0.191813	−	0.981431i	$-0.561437\pi$
$337$	12.2046	−	8.54575i	0.664827	−	0.465517i	0.856640	+	0.515915i	$0.172548\pi$
$338$	−8.01799	−	5.61426i	−0.436121	−	0.305375i
$339$	−4.51308	−	12.3996i	−0.245117	−	0.673453i
$340$	−0.141995	+	4.01828i	−0.00770078	+	0.217922i
$341$			45.4680i			2.46223i
$342$	7.45198	−	4.41713i	0.402957	−	0.238851i
$343$	−5.04480	−	5.04480i	−0.272394	−	0.272394i
$344$	−2.86228	−	2.40174i	−0.154324	−	0.129493i
$345$	2.68176	−	0.617958i	0.144381	−	0.0332697i
$346$	−1.86589	−	10.5820i	−0.100311	−	0.568892i
$347$	3.73392	+	5.33259i	0.200447	+	0.286268i	0.906774	−	0.421618i	$-0.138538\pi$
$347$	3.73392	+	5.33259i	0.200447	+	0.286268i	−0.706326	+	0.707887i	$0.749649\pi$
$348$	−0.938461	−	2.01254i	−0.0503068	−	0.107883i
$349$	21.2321	−	12.2584i	1.13653	−	0.656176i	0.190961	−	0.981598i	$-0.438840\pi$
$349$	21.2321	−	12.2584i	1.13653	−	0.656176i	0.945569	+	0.325422i	$0.105506\pi$
$350$	−11.7479	+	12.1451i	−0.627954	+	0.649184i
$351$	4.06160	−	3.40809i	0.216792	−	0.181910i
$352$	−28.0410	−	2.45327i	−1.49459	−	0.130760i
$353$	−18.5195	+	4.96227i	−0.985691	+	0.264115i	−0.715440	−	0.698675i	$-0.753774\pi$
$353$	−18.5195	+	4.96227i	−0.985691	+	0.264115i	−0.270251	+	0.962790i	$0.587107\pi$
$354$	−4.27615	−	7.40650i	−0.227275	−	0.393651i
$355$	−2.75940	+	5.41006i	−0.146454	+	0.287136i
$356$	−5.16719	−	0.911116i	−0.273861	−	0.0482890i
$357$	2.61338	−	3.73229i	0.138315	−	0.197534i
$358$	5.24110	+	2.44397i	0.277001	+	0.129168i
$359$	−12.6054	+	15.0226i	−0.665289	+	0.792860i	−0.988134	−	0.153592i	$-0.950916\pi$
$359$	−12.6054	+	15.0226i	−0.665289	+	0.792860i	0.322846	+	0.946452i	$0.395360\pi$
$360$	8.96073	+	11.4791i	0.472272	+	0.604999i
$361$	16.6681	+	9.12009i	0.877266	+	0.480005i
$362$	−11.7177	+	11.7177i	−0.615866	+	0.615866i
$363$	−10.6516	+	0.931899i	−0.559067	+	0.0489120i
$364$	−5.81910	+	2.11798i	−0.305004	+	0.111012i
$365$	−0.230076	+	0.255312i	−0.0120427	+	0.0133636i
$366$	0.757236	−	4.29450i	0.0395813	−	0.224477i
$367$	12.5944	−	5.87286i	0.657421	−	0.306561i	−0.0651311	−	0.997877i	$-0.520747\pi$
$367$	12.5944	−	5.87286i	0.657421	−	0.306561i	0.722552	+	0.691316i	$0.242969\pi$
$368$	−0.0721840	+	0.269394i	−0.00376285	+	0.0140431i
$369$	−2.67637	+	4.63561i	−0.139326	+	0.241320i
$370$	−9.87535	−	15.2206i	−0.513395	−	0.791280i
$371$	−23.6934	−	28.2366i	−1.23010	−	1.46597i
$372$	−2.49035	−	9.29412i	−0.129119	−	0.481878i
$373$	−35.6461	−	9.55135i	−1.84569	−	0.494550i	−0.846407	−	0.532536i	$-0.821239\pi$
$373$	−35.6461	−	9.55135i	−1.84569	−	0.494550i	−0.999278	+	0.0379859i	$0.987906\pi$
$374$	5.52756	+	2.01187i	0.285823	+	0.104031i
$375$	2.19102	+	8.83465i	0.113144	+	0.456219i
$376$	−13.6838	+	2.41282i	−0.705687	+	0.124432i
$377$	1.10150	−	2.36217i	0.0567300	−	0.121658i
$378$	−1.27983	−	14.6285i	−0.0658271	−	0.752407i
$379$	−2.15198			−0.110540			−0.0552699	−	0.998471i	$-0.517602\pi$
$379$	−2.15198			−0.110540			−0.0552699	+	0.998471i	$0.517602\pi$
$380$	−4.53457	+	11.5907i	−0.232619	+	0.594590i
$381$	3.06006			0.156771
$382$	−1.37785	−	15.7489i	−0.0704969	−	0.805783i
$383$	4.96338	−	10.6440i	0.253617	−	0.543883i	−0.737739	−	0.675086i	$-0.764106\pi$
$383$	4.96338	−	10.6440i	0.253617	−	0.543883i	0.991355	+	0.131203i	$0.0418841\pi$
$384$	6.11781	−	1.07873i	0.312198	−	0.0550489i
$385$	−20.4798	−	38.5555i	−1.04375	−	1.96497i
$386$	−14.6606	−	5.33602i	−0.746205	−	0.271596i
$387$	−3.02720	−	0.811135i	−0.153881	−	0.0412323i
$388$	3.26484	+	12.1846i	0.165747	+	0.618578i
$389$	2.20372	+	2.62629i	0.111733	+	0.133158i	0.819012	−	0.573776i	$-0.194522\pi$
$389$	2.20372	+	2.62629i	0.111733	+	0.133158i	−0.707279	+	0.706934i	$0.750078\pi$
$390$	0.393486	−	1.84743i	0.0199249	−	0.0935481i
$391$	1.06438	−	1.84356i	0.0538281	−	0.0932330i
$392$	−6.34298	+	23.6723i	−0.320369	+	1.19563i
$393$	−6.60111	+	3.07815i	−0.332982	+	0.155272i
$394$	1.67054	−	9.47412i	0.0841607	−	0.477299i
$395$	−0.195029	−	3.75123i	−0.00981296	−	0.188745i
$396$	−13.7772	+	5.01450i	−0.692331	+	0.251988i
$397$	8.57163	−	0.749921i	0.430198	−	0.0376375i	0.129999	−	0.991514i	$-0.458503\pi$
$397$	8.57163	−	0.749921i	0.430198	−	0.0376375i	0.300199	+	0.953877i	$0.402947\pi$
$398$	7.26907	−	7.26907i	0.364365	−	0.364365i
$399$	11.4596	−	8.22154i	0.573696	−	0.411592i
$400$	−0.894860	−	0.223905i	−0.0447430	−	0.0111952i
$401$	−9.47424	+	11.2910i	−0.473121	+	0.563844i	−0.948841	−	0.315753i	$-0.897743\pi$
$401$	−9.47424	+	11.2910i	−0.473121	+	0.563844i	0.475720	+	0.879597i	$0.342187\pi$
$402$	5.51732	+	2.57277i	0.275179	+	0.128318i
$403$	6.47774	−	9.25116i	0.322679	−	0.460833i
$404$	10.9618	+	1.93286i	0.545370	+	0.0961634i
$405$	6.91997	+	3.52953i	0.343856	+	0.175384i
$406$	−3.60924	−	6.25140i	−0.179124	−	0.310252i
$407$	45.2799	−	12.1327i	2.24444	−	0.601396i
$408$	−3.18235	−	0.278419i	−0.157550	−	0.0137838i
$409$	−28.3413	+	23.7811i	−1.40139	+	1.17590i	−0.440905	+	0.897554i	$0.645342\pi$
$409$	−28.3413	+	23.7811i	−1.40139	+	1.17590i	−0.960480	+	0.278348i	$0.910213\pi$
$410$	0.604255	+	4.31251i	0.0298420	+	0.212980i
$411$	−4.02641	+	2.32465i	−0.198608	+	0.114666i
$412$	0.207316	+	0.444591i	0.0102137	+	0.0219034i
$413$	28.1615	+	40.2187i	1.38573	+	1.97903i
$414$	−0.521702	−	2.95872i	−0.0256402	−	0.145413i
$415$	−1.46713	−	0.917615i	−0.0720187	−	0.0450439i
$416$	5.35587	+	4.49411i	0.262593	+	0.220342i
$417$	5.75671	+	5.75671i	0.281907	+	0.281907i
$418$	14.0817	+	11.5434i	0.688760	+	0.564605i
$419$			9.21192i			0.450032i	0.974355	+	0.225016i	$0.0722434\pi$
$419$			9.21192i			0.450032i	−0.974355	+	0.225016i	$0.927757\pi$
$420$	6.29803	+	6.75945i	0.307312	+	0.329827i
$421$	−0.789738	−	2.16979i	−0.0384895	−	0.105749i	0.918959	−	0.394353i	$-0.129031\pi$
$421$	−0.789738	−	2.16979i	−0.0384895	−	0.105749i	−0.957449	+	0.288604i	$0.906809\pi$
$422$	5.17096	+	3.62074i	0.251718	+	0.176255i
$423$	−9.54681	+	6.68475i	−0.464182	+	0.325023i
$424$	−8.83901	+	24.2850i	−0.429260	+	1.17938i
$425$	6.15520	+	3.41858i	0.298571	+	0.165826i
$426$	−1.62832	−	0.940111i	−0.0788923	−	0.0455485i
$427$	−2.18192	+	24.9394i	−0.105590	+	1.20690i
$428$	0.954825	−	10.9137i	0.0461532	−	0.527534i
$429$	4.22640	+	2.44012i	0.204053	+	0.117810i
$430$	−2.34734	+	0.995235i	−0.113199	+	0.0479945i
$431$	6.23851	−	17.1402i	0.300498	−	0.825612i	−0.693915	−	0.720057i	$-0.744116\pi$
$431$	6.23851	−	17.1402i	0.300498	−	0.825612i	0.994413	−	0.105556i	$-0.0336621\pi$
$432$	0.656664	−	0.459801i	0.0315938	−	0.0221222i
$433$	17.8019	+	12.4651i	0.855507	+	0.599032i	0.916916	−	0.399080i	$-0.130671\pi$
$433$	17.8019	+	12.4651i	0.855507	+	0.599032i	−0.0614092	+	0.998113i	$0.519559\pi$
$434$	−10.6978	−	29.3920i	−0.513511	−	1.41086i
$435$	−3.88606	−	0.137323i	−0.186322	−	0.00658412i
$436$		−	8.21056i		−	0.393215i
$437$	4.99892	−	4.29324i	0.239131	−	0.205374i
$438$	−0.0752385	−	0.0752385i	−0.00359504	−	0.00359504i
$439$	−7.23611	−	6.07181i	−0.345361	−	0.289792i	0.453563	−	0.891224i	$-0.350153\pi$
$439$	−7.23611	−	6.07181i	−0.345361	−	0.289792i	−0.798924	+	0.601432i	$0.794597\pi$
$440$	−16.2311	+	25.9511i	−0.773786	+	1.23717i
$441$	3.56949	+	20.2436i	0.169976	+	0.963980i
$442$	−0.838042	−	1.19685i	−0.0398616	−	0.0569282i
$443$	−14.4220	−	30.9280i	−0.685208	−	1.46943i	−0.873250	−	0.487273i	$-0.837992\pi$
$443$	−14.4220	−	30.9280i	−0.685208	−	1.46943i	0.188042	−	0.982161i	$-0.439786\pi$
$444$	−8.59115	+	4.96010i	−0.407718	+	0.235396i
$445$	−5.53246	+	7.33546i	−0.262264	+	0.347734i
$446$	9.46077	−	7.93852i	0.447980	−	0.375900i
$447$	3.42286	+	0.299461i	0.161896	+	0.0141640i
$448$	17.2874	−	4.63214i	0.816752	−	0.218848i
$449$	20.6242	+	35.7221i	0.973316	+	1.68583i	0.685385	+	0.728181i	$0.259634\pi$
$449$	20.6242	+	35.7221i	0.973316	+	1.68583i	0.287931	+	0.957651i	$0.407033\pi$
$450$	9.75585	−	1.88792i	0.459895	−	0.0889975i
$451$	−11.0801	−	1.95372i	−0.521741	−	0.0919970i
$452$	11.8711	−	16.9537i	0.558369	−	0.797433i
$453$	11.8098	+	5.50700i	0.554873	+	0.258742i
$454$	−2.37638	+	2.83206i	−0.111529	+	0.132915i
$455$	−1.32601	+	10.7624i	−0.0621642	+	0.504551i
$456$	−9.00929	−	4.07597i	−0.421899	−	0.190875i
$457$	−12.9398	+	12.9398i	−0.605300	+	0.605300i	−0.941714	−	0.336414i	$-0.890786\pi$
$457$	−12.9398	+	12.9398i	−0.605300	+	0.605300i	0.336414	+	0.941714i	$0.390786\pi$
$458$	15.7445	−	1.37747i	0.735693	−	0.0643648i
$459$	−5.74973	+	2.09273i	−0.268374	+	0.0976803i
$460$	3.20658	+	2.88964i	0.149508	+	0.134730i
$461$	5.56561	−	31.5641i	0.259216	−	1.47009i	−0.525797	−	0.850610i	$-0.676233\pi$
$461$	5.56561	−	31.5641i	0.259216	−	1.47009i	0.785014	−	0.619479i	$-0.212656\pi$
$462$	12.2497	−	5.71215i	0.569910	−	0.265753i
$463$	9.97438	−	37.2249i	0.463549	−	1.72999i	−0.198108	−	0.980180i	$-0.563480\pi$
$463$	9.97438	−	37.2249i	0.463549	−	1.72999i	0.661656	−	0.749807i	$-0.269854\pi$
$464$	0.197034	−	0.341273i	0.00914706	−	0.0158432i
$465$	−16.4794	−	3.50998i	−0.764216	−	0.162771i
$466$	−12.0351	−	14.3429i	−0.557515	−	0.664420i
$467$	2.53409	+	9.45734i	0.117263	+	0.437633i	0.999446	−	0.0332738i	$-0.0105933\pi$
$467$	2.53409	+	9.45734i	0.117263	+	0.437633i	−0.882183	+	0.470907i	$0.843927\pi$
$468$	3.51760	+	0.942537i	0.162601	+	0.0435688i
$469$	−32.8412	−	11.9532i	−1.51647	−	0.551949i
$470$	−2.77585	+	9.06590i	−0.128040	+	0.418179i
$471$	10.1128	−	1.78316i	0.465974	−	0.0821637i
$472$	14.5480	−	31.1984i	0.669628	−	1.43602i
$473$	−0.574128	−	6.56232i	−0.0263984	−	0.301736i
$474$	1.16293			0.0534153
$475$	14.4726	+	16.2955i	0.664050	+	0.747688i
$476$	7.14642			0.327555
$477$	1.88924	+	21.5941i	0.0865023	+	0.988726i
$478$	1.21734	−	2.61060i	0.0556800	−	0.119406i
$479$	12.0119	−	2.11802i	0.548837	−	0.0967747i	0.107648	−	0.994189i	$-0.465668\pi$
$479$	12.0119	−	2.11802i	0.548837	−	0.0967747i	0.441189	+	0.897414i	$0.354557\pi$
$480$	3.05385	−	9.97384i	0.139388	−	0.455241i
$481$	−10.9414	−	3.98235i	−0.498886	−	0.181580i
$482$	−0.0884433	−	0.0236983i	−0.00402848	−	0.00107943i
$483$	−1.26598	−	4.72470i	−0.0576041	−	0.214981i
$484$	−10.7800	−	12.8471i	−0.489999	−	0.583958i
$485$	21.6045	+	4.60157i	0.981010	+	0.208947i
$486$	−6.74471	+	11.6822i	−0.305946	+	0.529915i
$487$	−2.75407	+	10.2783i	−0.124799	+	0.465756i	−0.999832	−	0.0183065i	$-0.994173\pi$
$487$	−2.75407	+	10.2783i	−0.124799	+	0.465756i	0.875034	+	0.484062i	$0.160839\pi$
$488$	15.9078	−	7.41794i	0.720113	−	0.335794i
$489$	1.50765	−	8.55028i	0.0681781	−	0.386657i
$490$	12.4229	+	11.1950i	0.561210	+	0.505738i
$491$	36.5384	−	13.2989i	1.64896	−	0.600171i	0.660385	−	0.750927i	$-0.270393\pi$
$491$	36.5384	−	13.2989i	1.64896	−	0.600171i	0.988571	+	0.150756i	$0.0481709\pi$
$492$	2.37189	−	0.207514i	0.106933	−	0.00935544i
$493$	−2.12686	+	2.12686i	−0.0957888	+	0.0957888i
$494$	−1.22059	−	4.35488i	−0.0549168	−	0.195935i
$495$	−3.13943	+	25.4810i	−0.141107	+	1.14529i
$496$	1.09758	−	1.30804i	0.0492826	−	0.0587328i
$497$	9.78286	+	4.56182i	0.438821	+	0.204626i
$498$	0.307290	−	0.438856i	0.0137700	−	0.0196656i
$499$	16.0108	+	2.82313i	0.716740	+	0.126381i	0.520113	−	0.854098i	$-0.325890\pi$
$499$	16.0108	+	2.82313i	0.716740	+	0.126381i	0.196627	+	0.980478i	$0.437001\pi$
$500$	−9.37980	+	10.7631i	−0.419477	+	0.481339i
$501$	0.953931	+	1.65226i	0.0426185	+	0.0738174i
$502$	−17.5599	+	4.70517i	−0.783738	+	0.210002i
$503$	−28.6678	−	2.50810i	−1.27823	−	0.111831i	−0.572261	−	0.820071i	$-0.693934\pi$
$503$	−28.6678	−	2.50810i	−1.27823	−	0.111831i	−0.705971	+	0.708240i	$0.749489\pi$
$504$	19.8273	−	16.6371i	0.883178	−	0.741074i
$505$	11.7367	−	15.5616i	0.522275	−	0.692483i
$506$	5.46888	−	3.15746i	0.243121	−	0.140366i
$507$	3.96059	+	8.49351i	0.175896	+	0.377210i
$508$	2.75295	+	3.93162i	0.122142	+	0.174437i
$509$	−3.87905	−	21.9992i	−0.171936	−	0.975097i	−0.941621	−	0.336673i	$-0.890698\pi$
$509$	−3.87905	−	21.9992i	−0.171936	−	0.975097i	0.769686	−	0.638423i	$-0.220413\pi$
$510$	−1.15589	+	1.84811i	−0.0511838	+	0.0818355i
$511$	0.467940	+	0.392649i	0.0207005	+	0.0173697i
$512$	1.47449	+	1.47449i	0.0651637	+	0.0651637i
$513$	−18.9390	+	0.217225i	−0.836176	+	0.00959073i
$514$		−	10.7215i		−	0.472906i
$515$	0.858471	+	0.0303360i	0.0378288	+	0.00133677i
$516$	0.476786	+	1.30996i	0.0209893	+	0.0576678i
$517$	−20.0666	−	14.0508i	−0.882528	−	0.617953i
$518$	−26.4158	+	18.4965i	−1.16064	+	0.812691i
$519$	−3.51867	+	9.66747i	−0.154453	+	0.424355i
$520$	6.99967	−	2.96775i	0.306956	−	0.130144i
$521$	−23.6960	−	13.6809i	−1.03814	−	0.599371i	−0.118835	−	0.992914i	$-0.537916\pi$
$521$	−23.6960	−	13.6809i	−1.03814	−	0.599371i	−0.919306	+	0.393543i	$0.871249\pi$
$522$	−0.369976	+	4.22885i	−0.0161934	+	0.185092i
$523$	−0.813771	+	9.30145i	−0.0355837	+	0.406724i	0.957425	+	0.288682i	$0.0932172\pi$
$523$	−0.813771	+	9.30145i	−0.0355837	+	0.406724i	−0.993009	+	0.118042i	$0.962338\pi$
$524$	−9.89348	−	5.71200i	−0.432199	−	0.249530i
$525$	15.5551	−	4.44635i	0.678879	−	0.194054i
$526$	−7.74899	+	21.2902i	−0.337872	+	0.928296i
$527$	−10.6761	+	7.47552i	−0.465060	+	0.325639i
$528$	0.604422	+	0.423221i	0.0263041	+	0.0184183i
$529$	7.08484	+	19.4654i	0.308036	+	0.846323i
$530$	12.0214	+	12.9022i	0.522178	+	0.560435i
$531$		−	28.8732i		−	1.25299i
$532$	20.8727	+	7.32704i	0.904945	+	0.317667i
$533$	1.97607	+	1.97607i	0.0855932	+	0.0855932i
$534$	−2.17904	−	1.82843i	−0.0942962	−	0.0791239i
$535$	−16.2647	−	10.1728i	−0.703186	−	0.439806i
$536$	4.25497	+	24.1311i	0.183787	+	1.04231i
$537$	−3.17577	−	4.53547i	−0.137044	−	0.195720i
$538$	4.64863	+	9.96901i	0.200416	+	0.429795i
$539$	−37.4182	+	21.6034i	−1.61171	+	0.930524i
$540$	−1.72161	−	12.2869i	−0.0740861	−	0.528746i
$541$	19.4951	−	16.3584i	0.838162	−	0.703301i	−0.118988	−	0.992896i	$-0.537965\pi$
$541$	19.4951	−	16.3584i	0.838162	−	0.703301i	0.957149	+	0.289594i	$0.0935204\pi$
$542$	15.7291	+	1.37612i	0.675622	+	0.0591093i
$543$	15.3253	−	4.10641i	0.657673	−	0.176223i
$544$	−4.03426	−	6.98755i	−0.172968	−	0.299589i
$545$	−12.8078	−	6.53260i	−0.548625	−	0.279826i
$546$	−3.30620	−	0.582973i	−0.141492	−	0.0249489i
$547$	17.3018	−	24.7095i	0.739771	−	1.05650i	−0.256182	−	0.966629i	$-0.582465\pi$
$547$	17.3018	−	24.7095i	0.739771	−	1.05650i	0.995953	−	0.0898741i	$-0.0286465\pi$
$548$	−6.60907	−	3.08186i	−0.282326	−	0.131651i
$549$	9.46327	−	11.2779i	0.403883	−	0.481329i
$550$	10.7424	+	17.9121i	0.458058	+	0.763775i
$551$	−8.39256	+	4.03134i	−0.357535	+	0.171741i
$552$	−2.42498	+	2.42498i	−0.103214	+	0.103214i
$553$	−6.65090	+	0.581878i	−0.282825	+	0.0247440i
$554$	12.5987	−	4.58556i	0.535269	−	0.194822i
$555$	0.901928	+	17.3479i	0.0382847	+	0.736377i
$556$	−2.21736	+	12.5753i	−0.0940372	+	0.533311i
$557$	−26.2184	+	12.2258i	−1.11091	+	0.518025i	−0.889398	−	0.457133i	$-0.848876\pi$
$557$	−26.2184	+	12.2258i	−1.11091	+	0.518025i	−0.221510	+	0.975158i	$0.571098\pi$
$558$	−4.76070	+	17.7672i	−0.201537	+	0.752145i
$559$	−0.818106	+	1.41700i	−0.0346022	+	0.0599327i
$560$	−0.341543	+	1.60355i	−0.0144328	+	0.0677625i
$561$	−3.62014	−	4.31432i	−0.152843	−	0.182151i
$562$	0.0504352	+	0.188227i	0.00212748	+	0.00793987i
$563$	−18.9758	−	5.08454i	−0.799734	−	0.214288i	−0.164267	−	0.986416i	$-0.552526\pi$
$563$	−18.9758	−	5.08454i	−0.799734	−	0.214288i	−0.635467	+	0.772128i	$0.719192\pi$
$564$	4.87141	+	1.77305i	0.205123	+	0.0746588i
$565$	−17.0012	−	32.0068i	−0.715247	−	1.34654i
$566$	10.8552	−	1.91407i	0.456279	−	0.0804543i
$567$	5.83499	−	12.5132i	0.245047	−	0.525504i
$568$	−0.659597	−	7.53923i	−0.0276761	−	0.316339i
$569$	28.9346			1.21300			0.606501	−	0.795082i	$-0.292572\pi$
$569$	28.9346			1.21300			0.606501	+	0.795082i	$0.292572\pi$
$570$	−5.27085	+	4.21269i	−0.220772	+	0.176450i
$571$	−24.1433			−1.01037			−0.505184	−	0.863012i	$-0.668575\pi$
$571$	−24.1433			−1.01037			−0.505184	+	0.863012i	$0.668575\pi$
$572$	0.667135	+	7.62539i	0.0278943	+	0.318834i
$573$	−6.39683	+	13.7180i	−0.267231	+	0.573079i
$574$	7.62220	−	1.34400i	0.318145	−	0.0560975i
$575$	7.05885	−	2.70290i	0.294374	−	0.112719i
$576$	−9.89016	−	3.59972i	−0.412090	−	0.149988i
$577$	26.2166	+	7.02471i	1.09141	+	0.292442i	0.759262	−	0.650785i	$-0.225560\pi$
$577$	26.2166	+	7.02471i	1.09141	+	0.292442i	0.332148	+	0.943227i	$0.392227\pi$
$578$	−3.30496	−	12.3343i	−0.137468	−	0.513039i
$579$	9.60160	+	11.4427i	0.399029	+	0.475544i
$580$	−3.31962	−	5.11642i	−0.137840	−	0.212448i
$581$	−1.53783	+	2.66360i	−0.0638000	+	0.110505i
$582$	−1.76999	+	6.60568i	−0.0733683	+	0.273814i
$583$	−41.2936	+	19.2555i	−1.71020	+	0.797481i
$584$	0.0743703	−	0.421775i	0.00307746	−	0.0174532i
$585$	4.26899	−	4.73723i	0.176501	−	0.195861i
$586$	−6.09108	+	2.21697i	−0.251620	+	0.0915822i
$587$	−36.8062	+	3.22012i	−1.51915	+	0.132909i	−0.815968	−	0.578097i	$-0.803796\pi$
$587$	−36.8062	+	3.22012i	−1.51915	+	0.132909i	−0.703186	+	0.711006i	$0.748240\pi$
$588$	6.46541	−	6.46541i	0.266629	−	0.266629i
$589$	−38.8465	+	10.8879i	−1.60064	+	0.448628i
$590$	−14.4538	−	18.5159i	−0.595054	−	0.762288i
$591$	−5.92060	+	7.05589i	−0.243541	+	0.290241i
$592$	−1.59551	−	0.743997i	−0.0655750	−	0.0305781i
$593$	−1.82350	+	2.60423i	−0.0748823	+	0.106943i	−0.854846	−	0.518882i	$-0.826349\pi$
$593$	−1.82350	+	2.60423i	−0.0748823	+	0.106943i	0.779964	+	0.625825i	$0.215237\pi$
$594$	−17.8753	−	3.15190i	−0.733433	−	0.129324i
$595$	5.68593	−	11.1478i	0.233100	−	0.457015i
$596$	2.69459	+	4.66716i	0.110375	+	0.191174i
$597$	−9.50710	+	2.54742i	−0.389100	+	0.104259i
$598$	−1.56257	−	0.136707i	−0.0638981	−	0.00559036i
$599$	−5.95719	+	4.99867i	−0.243404	+	0.204240i	−0.756326	−	0.654195i	$-0.773008\pi$
$599$	−5.95719	+	4.99867i	−0.243404	+	0.204240i	0.512922	+	0.858435i	$0.328563\pi$
$600$	−8.15276	−	7.88615i	−0.332835	−	0.321951i
$601$	16.9764	−	9.80133i	0.692482	−	0.399805i	−0.112059	−	0.993702i	$-0.535745\pi$
$601$	16.9764	−	9.80133i	0.692482	−	0.399805i	0.804541	+	0.593897i	$0.202411\pi$
$602$	1.91513	+	4.10701i	0.0780549	+	0.167389i
$603$	11.7885	+	16.8357i	0.480063	+	0.685601i
$604$	3.54907	+	20.1278i	0.144410	+	0.818988i
$605$	−28.6172	+	6.59427i	−1.16346	+	0.268095i
$606$	4.62266	+	3.87887i	0.187783	+	0.157568i
$607$	−16.2338	−	16.2338i	−0.658910	−	0.658910i	0.296212	−	0.955122i	$-0.404276\pi$
$607$	−16.2338	−	16.2338i	−0.658910	−	0.658910i	−0.955122	+	0.296212i	$0.904276\pi$
$608$	−4.61879	−	24.5449i	−0.187317	−	0.995427i
$609$			6.91125i			0.280058i
$610$	0.422973	−	11.9696i	0.0171257	−	0.484635i
$611$	2.08107	+	5.71770i	0.0841912	+	0.231314i
$612$	−3.44258	−	2.41052i	−0.139158	−	0.0974396i
$613$	30.4501	−	21.3214i	1.22987	−	0.861162i	0.236001	−	0.971753i	$-0.424163\pi$
$613$	30.4501	−	21.3214i	1.22987	−	0.861162i	0.993866	+	0.110590i	$0.0352742\pi$
$614$	−8.00766	+	22.0009i	−0.323163	+	0.887882i
$615$	1.56345	−	3.86506i	0.0630446	−	0.155854i
$616$	47.1147	+	27.2017i	1.89830	+	1.09599i
$617$	0.00700337	−	0.0800488i	0.000281945	−	0.00322264i	−0.996052	−	0.0887670i	$-0.971707\pi$
$617$	0.00700337	−	0.0800488i	0.000281945	−	0.00322264i	0.996334	+	0.0855443i	$0.0272629\pi$
$618$	−0.0231787	+	0.264933i	−0.000932382	+	0.0106572i
$619$	−24.9397	−	14.3989i	−1.00241	−	0.578741i	−0.0934491	−	0.995624i	$-0.529789\pi$
$619$	−24.9397	−	14.3989i	−1.00241	−	0.578741i	−0.908960	+	0.416883i	$0.863123\pi$
$620$	−10.3159	−	24.3308i	−0.414296	−	0.977150i
$621$	−2.24664	+	6.17259i	−0.0901545	+	0.247697i
$622$	−5.04072	+	3.52955i	−0.202115	+	0.141522i
$623$	13.3769	+	9.36663i	0.535935	+	0.375266i
$624$	−0.0626836	−	0.172222i	−0.00250935	−	0.00689439i
$625$	9.32658	+	23.1951i	0.373063	+	0.927806i
$626$		−	4.95896i		−	0.198200i
$627$	−6.15006	−	16.3126i	−0.245610	−	0.651461i
$628$	11.3889	+	11.3889i	0.454468	+	0.454468i
$629$	10.2934	+	8.63721i	0.410426	+	0.344388i
$630$	−3.96579	−	17.2104i	−0.158001	−	0.685678i
$631$	−1.03534	−	5.87173i	−0.0412164	−	0.233750i	0.957240	−	0.289296i	$-0.0934211\pi$
$631$	−1.03534	−	5.87173i	−0.0412164	−	0.233750i	−0.998456	+	0.0555461i	$0.982310\pi$
$632$	2.68485	+	3.83436i	0.106798	+	0.152523i
$633$	−2.55426	−	5.47763i	−0.101523	−	0.217716i
$634$	2.15870	−	1.24633i	0.0857331	−	0.0494980i
$635$	8.32333	−	1.16624i	0.330301	−	0.0462807i
$636$	7.38618	−	6.19774i	0.292881	−	0.245756i
$637$	10.6911	+	0.935350i	0.423597	+	0.0370599i
$638$	−8.61862	+	2.30935i	−0.341214	+	0.0914281i
$639$	−3.17389	−	5.49734i	−0.125557	−	0.217471i
$640$	16.2293	−	5.26574i	0.641518	−	0.208147i
$641$	−23.2634	−	4.10197i	−0.918850	−	0.162018i	−0.305831	−	0.952086i	$-0.598934\pi$
$641$	−23.2634	−	4.10197i	−0.918850	−	0.162018i	−0.613019	+	0.790068i	$0.710045\pi$
$642$	3.40664	−	4.86519i	0.134449	−	0.192014i
$643$	−16.0066	−	7.46400i	−0.631239	−	0.294351i	0.0805441	−	0.996751i	$-0.474334\pi$
$643$	−16.0066	−	7.46400i	−0.631239	−	0.294351i	−0.711783	+	0.702400i	$0.752112\pi$
$644$	4.93146	−	5.87709i	0.194327	−	0.231590i
$645$	2.42277	+	0.298502i	0.0953966	+	0.0117535i
$646$	−0.395233	+	5.20435i	−0.0155502	+	0.204762i
$647$	5.50558	−	5.50558i	0.216447	−	0.216447i	−0.590553	−	0.806999i	$-0.701090\pi$
$647$	5.50558	−	5.50558i	0.216447	−	0.216447i	0.806999	+	0.590553i	$0.201090\pi$
$648$	−9.64337	+	0.843686i	−0.378827	+	0.0331431i
$649$	57.0292	−	20.7569i	2.23859	−	0.814780i
$650$	0.366195	−	5.17495i	0.0143633	−	0.202978i
$651$	−5.20024	+	29.4920i	−0.203814	+	1.15588i
$652$	12.3419	−	5.75512i	0.483346	−	0.225388i
$653$	0.674379	−	2.51682i	0.0263905	−	0.0984907i	−0.951474	−	0.307728i	$-0.900431\pi$
$653$	0.674379	−	2.51682i	0.0263905	−	0.0984907i	0.977865	+	0.209237i	$0.0670980\pi$
$654$	2.22562	−	3.85488i	0.0870285	−	0.150738i
$655$	−16.7818	+	10.8883i	−0.655720	+	0.425442i
$656$	0.271594	+	0.323674i	0.0106040	+	0.0126373i
$657$	−0.0929746	−	0.346986i	−0.00362729	−	0.0135372i
$658$	16.2776	+	4.36157i	0.634567	+	0.170032i
$659$	25.1582	+	9.15684i	0.980025	+	0.356700i	0.781850	−	0.623467i	$-0.214276\pi$
$659$	25.1582	+	9.15684i	0.980025	+	0.356700i	0.198175	+	0.980167i	$0.436499\pi$
$660$	10.0854	−	5.35713i	0.392574	−	0.208526i
$661$	−36.0063	+	6.34888i	−1.40048	+	0.246943i	−0.822341	−	0.568995i	$-0.807333\pi$
$661$	−36.0063	+	6.34888i	−1.40048	+	0.246943i	−0.578140	+	0.815937i	$0.696221\pi$
$662$	−2.97629	+	6.38267i	−0.115677	+	0.248070i
$663$	0.121922	+	1.39357i	0.00473505	+	0.0541218i
$664$	2.15641			0.0836849
$665$	28.0366	−	26.7299i	1.08721	−	1.03654i
$666$	18.9640			0.734841
$667$	0.281429	+	3.21675i	0.0108970	+	0.124553i
$668$	−1.26466	+	2.71206i	−0.0489310	+	0.104933i
$669$	−11.6449	+	2.05330i	−0.450216	+	0.0793853i
$670$	15.9876	+	4.89517i	0.617655	+	0.189117i
$671$	29.0787	+	10.5838i	1.12257	+	0.408583i
$672$	−17.9078	−	4.79837i	−0.690808	−	0.185101i
$673$	−4.66494	−	17.4098i	−0.179820	−	0.671098i	−0.995680	−	0.0928486i	$-0.970403\pi$
$673$	−4.66494	−	17.4098i	−0.179820	−	0.671098i	0.815860	−	0.578249i	$-0.196264\pi$
$674$	8.14350	+	9.70505i	0.313676	+	0.373825i
$675$	−20.5364	−	7.09035i	−0.790445	−	0.272908i
$676$	−7.34952	+	12.7297i	−0.282674	+	0.489606i
$677$	11.0963	−	41.4118i	0.426464	−	1.59158i	−0.334242	−	0.942487i	$-0.608480\pi$
$677$	11.0963	−	41.4118i	0.426464	−	1.59158i	0.760706	−	0.649097i	$-0.224853\pi$
$678$	10.1691	−	4.74193i	0.390542	−	0.182113i
$679$	6.81750	−	38.6640i	0.261632	−	1.48379i
$680$	−8.76207	+	0.455546i	−0.336010	+	0.0174694i
$681$	3.32617	−	1.21063i	0.127459	−	0.0463914i
$682$	−38.5154	+	3.36966i	−1.47483	+	0.129031i
$683$	−17.1640	+	17.1640i	−0.656763	+	0.656763i	−0.954613	−	0.297850i	$-0.903730\pi$
$683$	−17.1640	+	17.1640i	−0.656763	+	0.656763i	0.297850	+	0.954613i	$0.403730\pi$
$684$	−7.58337	−	10.5701i	−0.289957	−	0.404156i
$685$	−10.0658	+	7.85756i	−0.384596	+	0.300222i
$686$	3.89953	−	4.64727i	0.148885	−	0.177434i
$687$	−13.7142	−	6.39505i	−0.523230	−	0.243986i
$688$	−0.141895	+	0.202647i	−0.00540968	+	0.00772583i
$689$	11.1451	+	1.96518i	0.424595	+	0.0748675i
$690$	0.722213	+	2.22589i	0.0274942	+	0.0847383i
$691$	6.09079	+	10.5496i	0.231705	+	0.401324i	0.958310	−	0.285731i	$-0.0922363\pi$
$691$	6.09079	+	10.5496i	0.231705	+	0.401324i	−0.726605	+	0.687055i	$0.758903\pi$
$692$	−15.5865	+	4.17639i	−0.592510	+	0.158762i
$693$	45.4578	+	3.97704i	1.72680	+	0.151075i
$694$	−4.24046	+	3.55817i	−0.160966	+	0.135066i
$695$	17.8522	+	13.4642i	0.677172	+	0.510727i
$696$	4.19643	−	2.42281i	0.159065	−	0.0918364i
$697$	−1.36296	−	2.92289i	−0.0516259	−	0.110712i
$698$	11.9575	+	17.0770i	0.452597	+	0.646375i
$699$	3.11288	+	17.6540i	0.117740	+	0.667737i
$700$	19.7067	+	15.9854i	0.744844	+	0.604190i
$701$	23.1767	+	19.4476i	0.875372	+	0.734524i	0.965222	−	0.261431i	$-0.0841944\pi$
$701$	23.1767	+	19.4476i	0.875372	+	0.734524i	−0.0898504	+	0.995955i	$0.528639\pi$
$702$	3.18797	+	3.18797i	0.120322	+	0.120322i
$703$	21.2087	+	35.7804i	0.799900	+	1.34948i
$704$		−	22.1224i		−	0.833771i
$705$	6.64166	−	6.18828i	0.250139	−	0.233064i
$706$	−5.57598	−	15.3199i	−0.209855	−	0.576571i
$707$	−28.3781	−	19.8706i	−1.06727	−	0.747310i
$708$	−10.5205	+	7.36651i	−0.395383	+	0.276850i
$709$	0.671174	−	1.84404i	0.0252065	−	0.0692542i	−0.926451	−	0.376415i	$-0.877157\pi$
$709$	0.671174	−	1.84404i	0.0252065	−	0.0692542i	0.951658	+	0.307161i	$0.0993789\pi$
$710$	−4.78731	−	1.93651i	−0.179664	−	0.0726761i
$711$	3.40015	+	1.96308i	0.127516	+	0.0736212i
$712$	0.997885	−	11.4059i	0.0373973	−	0.427453i
$713$	−1.21946	+	13.9384i	−0.0456690	+	0.521999i
$714$	3.35526	+	1.93716i	0.125568	+	0.0724965i
$715$	12.4258	+	5.02634i	0.464697	+	0.187975i
$716$	2.97021	−	8.16057i	0.111002	−	0.304975i
$717$	−2.25912	+	1.58185i	−0.0843684	+	0.0590754i
$718$	−13.6596	−	9.56458i	−0.509773	−	0.356947i
$719$	−4.78058	−	13.1345i	−0.178285	−	0.489835i	0.818072	−	0.575117i	$-0.195043\pi$
$719$	−4.78058	−	13.1345i	−0.178285	−	0.489835i	−0.996357	+	0.0852814i	$0.972821\pi$
$720$	0.705416	−	0.657263i	0.0262893	−	0.0244947i
$721$		−	1.52677i		−	0.0568599i
$722$	−6.49025	+	14.7952i	−0.241542	+	0.550621i
$723$	0.0619893	+	0.0619893i	0.00230541	+	0.00230541i
$724$	19.0633	+	15.9960i	0.708481	+	0.594486i
$725$	−10.6224	+	1.10752i	−0.394505	+	0.0411323i
$726$	−1.57880	−	8.95383i	−0.0585949	−	0.332308i
$727$	13.9674	+	19.9475i	0.518022	+	0.739813i	0.989887	−	0.141858i	$-0.0453078\pi$
$727$	13.9674	+	19.9475i	0.518022	+	0.739813i	−0.471865	+	0.881671i	$0.656419\pi$
$728$	−5.71084	−	12.2469i	−0.211658	−	0.453902i
$729$	2.15924	−	1.24664i	0.0799718	−	0.0461717i
$730$	−0.233323	−	0.175974i	−0.00863566	−	0.00651307i
$731$	1.44648	−	1.21374i	0.0534999	−	0.0448917i
$732$	−6.52369	−	0.570749i	−0.241122	−	0.0210955i
$733$	17.2215	−	4.61450i	0.636092	−	0.170440i	0.0736595	−	0.997283i	$-0.476532\pi$
$733$	17.2215	−	4.61450i	0.636092	−	0.170440i	0.562433	+	0.826843i	$0.309866\pi$
$734$	5.90821	+	10.2333i	0.218076	+	0.377719i
$735$	−4.94139	−	15.2296i	−0.182266	−	0.561752i
$736$	−8.53033	−	1.50413i	−0.314432	−	0.0554429i
$737$	−24.7784	+	35.3872i	−0.912723	+	1.30350i
$738$	−4.12512	−	1.92357i	−0.151848	−	0.0708078i
$739$	18.5274	−	22.0801i	0.681543	−	0.812231i	−0.308763	−	0.951139i	$-0.599915\pi$
$739$	18.5274	−	22.0801i	0.681543	−	0.812231i	0.990305	+	0.138908i	$0.0443593\pi$
$740$	−21.4775	+	16.7657i	−0.789528	+	0.616318i
$741$	−1.07269	+	4.19523i	−0.0394064	+	0.154116i
$742$	22.1630	−	22.1630i	0.813630	−	0.813630i
$743$	−6.33768	+	0.554475i	−0.232507	+	0.0203417i	−0.202814	−	0.979217i	$-0.565009\pi$
$743$	−6.33768	+	0.554475i	−0.232507	+	0.0203417i	−0.0296933	+	0.999559i	$0.509453\pi$
$744$	19.7302	−	7.18121i	0.723345	−	0.263276i
$745$	9.42428	−	0.489974i	0.345279	−	0.0179513i
$746$	5.44908	−	30.9033i	0.199505	−	1.13145i
$747$	1.63925	−	0.764396i	0.0599771	−	0.0279678i
$748$	2.28629	−	8.53257i	0.0835952	−	0.311982i
$749$	−17.0485	+	29.5289i	−0.622939	+	1.07896i
$750$	−7.32136	+	2.51073i	−0.267338	+	0.0916789i
$751$	33.4145	+	39.8218i	1.21931	+	1.45312i	0.852421	+	0.522856i	$0.175133\pi$
$751$	33.4145	+	39.8218i	1.21931	+	1.45312i	0.366891	+	0.930264i	$0.380422\pi$
$752$	0.238104	+	0.888618i	0.00868277	+	0.0324046i
$753$	16.8125	+	4.50491i	0.612683	+	0.164168i
$754$	2.08260	+	0.758005i	0.0758439	+	0.0276049i
$755$	34.2214	+	10.4781i	1.24544	+	0.381337i
$756$	−21.7167	+	3.82924i	−0.789829	+	0.139268i
$757$	−22.6581	+	48.5905i	−0.823523	+	1.76605i	−0.207652	+	0.978203i	$0.566582\pi$
$757$	−22.6581	+	48.5905i	−0.823523	+	1.76605i	−0.615871	+	0.787847i	$0.711196\pi$
$758$	−0.159485	−	1.82292i	−0.00579275	−	0.0662115i
$759$	−6.04614			−0.219461
$760$	−26.0586	−	7.65301i	−0.945245	−	0.277604i
$761$	28.6371			1.03809			0.519046	−	0.854746i	$-0.326287\pi$
$761$	28.6371			1.03809			0.519046	+	0.854746i	$0.326287\pi$
$762$	0.226783	+	2.59214i	0.00821548	+	0.0939034i
$763$	−10.7997	+	23.1599i	−0.390974	+	0.838446i
$764$	−23.3800	+	4.12253i	−0.845860	+	0.149148i
$765$	−6.49925	+	3.45224i	−0.234981	+	0.124816i
$766$	9.38426	+	3.41559i	0.339067	+	0.123410i
$767$	−14.5607	−	3.90152i	−0.525755	−	0.140876i
$768$	3.26496	+	12.1850i	0.117814	+	0.439688i
$769$	−3.77330	−	4.49684i	−0.136069	−	0.162160i	0.693707	−	0.720257i	$-0.255976\pi$
$769$	−3.77330	−	4.49684i	−0.136069	−	0.162160i	−0.829776	+	0.558097i	$0.811532\pi$
$770$	31.1422	−	20.2056i	1.12229	−	0.728159i
$771$	−5.13259	+	8.88991i	−0.184846	+	0.320162i
$772$	−6.06387	+	22.6307i	−0.218244	+	0.814496i
$773$	41.1245	−	19.1767i	1.47915	−	0.689738i	0.495295	−	0.868725i	$-0.335060\pi$
$773$	41.1245	−	19.1767i	1.47915	−	0.689738i	0.983851	+	0.178987i	$0.0572820\pi$
$774$	0.462756	−	2.62442i	0.0166334	−	0.0943329i
$775$	−46.1617	−	3.26654i	−1.65818	−	0.117337i
$776$	−25.8663	+	9.41455i	−0.928544	+	0.337963i
$777$	30.7577	−	2.69095i	1.10343	−	0.0965372i
$778$	−2.06138	+	2.06138i	−0.0739040	+	0.0739040i
$779$	−0.984074	−	9.93434i	−0.0352581	−	0.355935i
$780$	−2.81525	−	0.346859i	−0.100802	−	0.0124195i
$781$	8.57640	−	10.2210i	0.306888	−	0.365735i
$782$	1.64054	+	0.764998i	0.0586658	+	0.0273563i
$783$	5.32352	−	7.60278i	0.190247	−	0.271701i
$784$	1.59796	+	0.281763i	0.0570699	+	0.0100630i
$785$	26.8272	−	8.70434i	0.957502	−	0.310671i
$786$	−3.09668	−	5.36360i	−0.110455	−	0.191313i
$787$	24.6233	−	6.59781i	0.877728	−	0.235186i	0.208301	−	0.978065i	$-0.433207\pi$
$787$	24.6233	−	6.59781i	0.877728	−	0.235186i	0.669426	+	0.742878i	$0.266540\pi$
$788$	−14.3919	−	1.25913i	−0.512692	−	0.0448547i
$789$	16.6172	−	13.9435i	0.591588	−	0.496402i
$790$	3.16317	−	0.443213i	0.112541	−	0.0157688i
$791$	−55.7851	+	32.2076i	−1.98349	+	1.14517i
$792$	−13.5209	−	28.9956i	−0.480444	−	1.03032i
$793$	−4.40867	−	6.29623i	−0.156556	−	0.223586i
$794$	1.27050	+	7.20536i	0.0450884	+	0.255709i
$795$	−3.79125	−	16.4529i	−0.134462	−	0.583526i
$796$	−11.8259	−	9.92314i	−0.419159	−	0.351716i
$797$	−37.6403	−	37.6403i	−1.33329	−	1.33329i	−0.902409	−	0.430880i	$-0.858203\pi$
$797$	−37.6403	−	37.6403i	−1.33329	−	1.33329i	−0.430880	−	0.902409i	$-0.641797\pi$
$798$	7.81365	+	9.09797i	0.276600	+	0.322065i
$799$		−	7.02189i		−	0.248417i
$800$	4.50525	−	28.2926i	0.159284	−	1.00030i
$801$	−3.28455	−	9.02422i	−0.116054	−	0.318855i
$802$	−10.2666	−	7.18875i	−0.362526	−	0.253844i
$803$	0.618513	−	0.433087i	0.0218268	−	0.0152833i
$804$	3.12674	−	8.59066i	0.110272	−	0.302969i
$805$	−5.24412	−	12.3687i	−0.184831	−	0.435938i
$806$	8.31663	+	4.80161i	0.292941	+	0.169129i
$807$	0.917874	−	10.4913i	0.0323107	−	0.369313i
$808$	−2.11694	+	24.1967i	−0.0744736	+	0.851237i
$809$	−22.8364	−	13.1846i	−0.802885	−	0.463546i	0.0415941	−	0.999135i	$-0.486756\pi$
$809$	−22.8364	−	13.1846i	−0.802885	−	0.463546i	−0.844479	+	0.535589i	$0.820090\pi$
$810$	−2.47698	+	6.12341i	−0.0870322	+	0.215155i
$811$	3.15115	−	8.65771i	0.110652	−	0.304013i	−0.871991	−	0.489522i	$-0.837171\pi$
$811$	3.15115	−	8.65771i	0.110652	−	0.304013i	0.982643	+	0.185509i	$0.0593934\pi$
$812$	−8.87971	+	6.21764i	−0.311617	+	0.218196i
$813$	−12.3832	−	8.67084i	−0.434299	−	0.304100i
$814$	13.6332	+	37.4569i	0.477844	+	1.31286i
$815$	0.842133	−	23.8313i	0.0294986	−	0.834774i
$816$			0.211505i			0.00740415i
$817$	5.46916	−	2.06195i	0.191342	−	0.0721385i
$818$	−22.2451	−	22.2451i	−0.777783	−	0.777783i
$819$	−8.68250	−	7.28548i	−0.303391	−	0.254575i
$820$	6.37244	−	1.46840i	0.222535	−	0.0512788i
$821$	2.89232	+	16.4031i	0.100943	+	0.572473i	0.992764	+	0.120085i	$0.0383168\pi$
$821$	2.89232	+	16.4031i	0.100943	+	0.572473i	−0.891821	+	0.452388i	$0.850572\pi$
$822$	−2.26759	−	3.23845i	−0.0790911	−	0.112954i
$823$	11.5057	+	24.6740i	0.401063	+	0.860082i	0.998315	+	0.0580287i	$0.0184815\pi$
$823$	11.5057	+	24.6740i	0.401063	+	0.860082i	−0.597252	+	0.802054i	$0.703741\pi$
$824$	−0.927036	+	0.535225i	−0.0322948	+	0.0186454i
$825$	−0.332368	−	19.9947i	−0.0115716	−	0.696126i
$826$	−31.9818	+	26.8359i	−1.11279	+	0.933740i
$827$	19.3437	+	1.69235i	0.672646	+	0.0588489i	0.418361	−	0.908281i	$-0.362605\pi$
$827$	19.3437	+	1.69235i	0.672646	+	0.0588489i	0.254284	+	0.967130i	$0.418160\pi$
$828$	−4.35797	+	1.16771i	−0.151450	+	0.0405809i
$829$	−23.2647	−	40.2956i	−0.808016	−	1.39953i	−0.914236	−	0.405183i	$-0.867208\pi$
$829$	−23.2647	−	40.2956i	−0.808016	−	1.39953i	0.106219	−	0.994343i	$-0.466125\pi$
$830$	0.668572	−	1.31080i	0.0232065	−	0.0454984i
$831$	−12.6416	−	2.22906i	−0.438533	−	0.0773253i
$832$	−3.15174	+	4.50116i	−0.109267	+	0.156050i
$833$	−11.2246	−	5.23413i	−0.388910	−	0.181352i
$834$	−4.44981	+	5.30308i	−0.154084	+	0.183631i
$835$	3.22438	+	4.13057i	0.111584	+	0.142944i
$836$	15.4258	−	22.5771i	0.533514	−	0.780847i
$837$	28.4374	−	28.4374i	0.982939	−	0.982939i
$838$	−7.80332	+	0.682702i	−0.269561	+	0.0235835i
$839$	−52.2864	+	19.0307i	−1.80513	+	0.657013i	−0.807374	+	0.590041i	$0.799112\pi$
$839$	−52.2864	+	19.0307i	−1.80513	+	0.657013i	−0.997755	+	0.0669723i	$0.978666\pi$
$840$	−13.4961	+	14.9764i	−0.465659	+	0.516735i
$841$	−4.24353	+	24.0663i	−0.146329	+	0.829872i
$842$	1.77948	−	0.829783i	0.0613248	−	0.0285962i
$843$	0.0482886	−	0.180215i	0.00166315	−	0.00620695i
$844$	4.73985	−	8.20966i	0.163152	−	0.282588i
$845$	14.0098	+	21.5928i	0.481951	+	0.742816i
$846$	−6.37010	−	7.59159i	−0.219008	−	0.261004i
$847$	13.5094	+	50.4176i	0.464187	+	1.73237i
$848$	1.65277	+	0.442858i	0.0567563	+	0.0152078i
$849$	−9.91707	−	3.60952i	−0.340353	−	0.123878i
$850$	−2.43968	+	5.46736i	−0.0836803	+	0.187529i
$851$	14.2062	−	2.50493i	0.486982	−	0.0858680i
$852$	−1.19329	+	2.55901i	−0.0408814	+	0.0876704i
$853$	0.873658	+	9.98595i	0.0299135	+	0.341913i	0.996373	+	0.0850935i	$0.0271189\pi$
$853$	0.873658	+	9.98595i	0.0299135	+	0.341913i	−0.966460	+	0.256819i	$0.917326\pi$
$854$	−21.2876			−0.728447
$855$	−22.5220	+	3.41952i	−0.770235	+	0.116945i
$856$	23.9061			0.817094
$857$	−1.25616	−	14.3580i	−0.0429096	−	0.490459i	−0.986994	−	0.160756i	$-0.948607\pi$
$857$	−1.25616	−	14.3580i	−0.0429096	−	0.490459i	0.944085	−	0.329703i	$-0.106949\pi$
$858$	−1.75377	+	3.76098i	−0.0598729	+	0.128398i
$859$	29.4418	−	5.19139i	1.00454	−	0.177128i	0.352906	−	0.935659i	$-0.385194\pi$
$859$	29.4418	−	5.19139i	1.00454	−	0.177128i	0.651637	+	0.758531i	$0.274083\pi$
$860$	1.79610	+	3.38137i	0.0612466	+	0.115304i
$861$	−6.96347	−	2.53449i	−0.237314	−	0.0863753i
$862$	14.9816	+	4.01430i	0.510275	+	0.136728i
$863$	−10.4833	−	39.1242i	−0.356856	−	1.33180i	−0.878133	−	0.478416i	$-0.841211\pi$
$863$	−10.4833	−	39.1242i	−0.356856	−	1.33180i	0.521278	−	0.853387i	$-0.325456\pi$
$864$	16.0035	+	19.0723i	0.544452	+	0.648852i
$865$	−5.88633	+	27.6365i	−0.200141	+	0.939668i
$866$	−9.23970	+	16.0036i	−0.313978	+	0.543825i
$867$	−3.16429	+	11.8093i	−0.107465	+	0.401065i
$868$	−42.5703	+	19.8509i	−1.44493	+	0.673782i
$869$	−1.43303	+	8.12709i	−0.0486121	+	0.275693i
$870$	−0.171674	−	3.30201i	−0.00582029	−	0.111949i
$871$	10.0831	−	3.66994i	0.341652	−	0.124351i
$872$	17.8484	−	1.56153i	0.604422	−	0.0528801i
$873$	−16.3257	+	16.3257i	−0.552541	+	0.552541i
$874$	4.00723	+	3.91635i	0.135547	+	0.132473i
$875$	40.6151	−	18.0223i	1.37304	−	0.609265i
$876$	−0.102710	+	0.122404i	−0.00347023	+	0.00413566i
$877$	−19.2255	−	8.96500i	−0.649199	−	0.302727i	0.0699829	−	0.997548i	$-0.477706\pi$
$877$	−19.2255	−	8.96500i	−0.649199	−	0.302727i	−0.719182	+	0.694822i	$0.755483\pi$
$878$	4.60710	−	6.57962i	0.155482	−	0.222051i
$879$	6.11182	+	1.07768i	0.206146	+	0.0363492i
$880$	1.80532	+	0.920802i	0.0608573	+	0.0310402i
$881$	6.83139	+	11.8323i	0.230155	+	0.398641i	0.957854	−	0.287256i	$-0.0927432\pi$
$881$	6.83139	+	11.8323i	0.230155	+	0.398641i	−0.727698	+	0.685897i	$0.759410\pi$
$882$	−16.8836	+	4.52394i	−0.568500	+	0.152329i
$883$	−14.5546	−	1.27336i	−0.489800	−	0.0428520i	−0.160419	−	0.987049i	$-0.551285\pi$
$883$	−14.5546	−	1.27336i	−0.489800	−	0.0428520i	−0.329381	+	0.944197i	$0.606840\pi$
$884$	−1.68080	+	1.41036i	−0.0565315	+	0.0474355i
$885$	3.12069	+	22.2721i	0.104901	+	0.748668i
$886$	25.1300	−	14.5088i	0.844257	−	0.487432i
$887$	2.51587	+	5.39531i	0.0844747	+	0.181157i	0.944008	−	0.329924i	$-0.107023\pi$
$887$	2.51587	+	5.39531i	0.0844747	+	0.181157i	−0.859533	+	0.511081i	$0.829245\pi$
$888$	−12.4163	−	17.7324i	−0.416665	−	0.595059i
$889$	−2.59398	−	14.7112i	−0.0869992	−	0.493397i
$890$	−6.62381	−	4.14285i	−0.222031	−	0.138869i
$891$	−13.0735	−	10.9700i	−0.437980	−	0.367509i
$892$	−13.1143	−	13.1143i	−0.439099	−	0.439099i
$893$	7.19936	−	20.5090i	0.240917	−	0.686306i
$894$			2.92166i			0.0977149i
$895$	−10.3666	−	11.1261i	−0.346517	−	0.371904i
$896$	−10.3720	−	28.4968i	−0.346504	−	0.952012i
$897$	1.23018	+	0.861383i	0.0410746	+	0.0287607i
$898$	−28.7314	+	20.1179i	−0.958778	+	0.671344i
$899$	6.76157	−	18.5773i	0.225511	−	0.619586i
$900$	−4.10121	−	14.3477i	−0.136707	−	0.478256i
$901$	−11.3105	−	6.53012i	−0.376807	−	0.217550i
$902$	0.833821	−	9.53061i	0.0277632	−	0.317335i
$903$	0.378144	−	4.32220i	0.0125838	−	0.143834i
$904$	39.1121	+	22.5814i	1.30085	+	0.751045i
$905$	40.1198	−	17.0101i	1.33363	−	0.565436i
$906$	−3.78969	+	10.4121i	−0.125904	+	0.345918i
$907$	33.1934	−	23.2423i	1.10217	−	0.771747i	0.126713	−	0.991939i	$-0.459557\pi$
$907$	33.1934	−	23.2423i	1.10217	−	0.771747i	0.975456	+	0.220192i	$0.0706685\pi$
$908$	4.54780	+	3.18440i	0.150924	+	0.105678i
$909$	6.96791	+	19.1442i	0.231111	+	0.634972i
$910$	−9.21502	−	0.325634i	−0.305475	−	0.0107947i
$911$		−	24.1659i		−	0.800652i	−0.916373	−	0.400326i	$-0.868897\pi$
$911$		−	24.1659i		−	0.800652i	0.916373	−	0.400326i	$-0.131103\pi$
$912$	−0.216850	+	0.617746i	−0.00718064	+	0.0204556i
$913$	2.68826	+	2.68826i	0.0889684	+	0.0889684i
$914$	−11.9202	−	10.0022i	−0.394284	−	0.330844i
$915$	−6.08078	+	9.72229i	−0.201025	+	0.321409i
$916$	−4.12139	−	23.3735i	−0.136174	−	0.772283i
$917$	20.3938	+	29.1254i	0.673463	+	0.961805i
$918$	−2.19885	−	4.71544i	−0.0725727	−	0.155633i
$919$	−10.9705	+	6.33379i	−0.361882	+	0.208933i	−0.669906	−	0.742446i	$-0.733666\pi$
$919$	−10.9705	+	6.33379i	−0.361882	+	0.208933i	0.308024	+	0.951379i	$0.400332\pi$
$920$	−5.67173	+	7.52013i	−0.186991	+	0.247931i
$921$	17.1719	−	14.4089i	0.565833	−	0.474790i
$922$	27.1501	+	2.37533i	0.894141	+	0.0782272i
$923$	−3.20116	+	0.857749i	−0.105368	+	0.0282332i
$924$	−10.1487	−	17.5780i	−0.333867	−	0.578275i
$925$	9.06479	+	46.8424i	0.298049	+	1.54017i
$926$	32.2720	+	5.69043i	1.06052	+	0.186999i
$927$	−0.514987	+	0.735478i	−0.0169144	+	0.0241563i
$928$	11.0922	+	5.17236i	0.364118	+	0.169791i
$929$	−7.06706	+	8.42219i	−0.231863	+	0.276323i	−0.869414	−	0.494085i	$-0.835503\pi$
$929$	−7.06706	+	8.42219i	−0.231863	+	0.276323i	0.637551	+	0.770408i	$0.279948\pi$
$930$	1.75196	−	14.2197i	0.0574492	−	0.466282i
$931$	−27.4176	−	26.7957i	−0.898574	−	0.878195i
$932$	−19.8818	+	19.8818i	−0.651249	+	0.651249i
$933$	5.86926	−	0.513493i	0.192151	−	0.0168110i
$934$	−7.82341	+	2.84749i	−0.255990	+	0.0931726i
$935$	−11.4910	−	10.3552i	−0.375797	−	0.338652i
$936$	−1.37992	+	7.82591i	−0.0451041	+	0.255798i
$937$	−45.8065	+	21.3599i	−1.49643	+	0.697798i	−0.986703	−	0.162536i	$-0.948033\pi$
$937$	−45.8065	+	21.3599i	−1.49643	+	0.697798i	−0.509730	+	0.860334i	$0.670255\pi$
$938$	7.69157	−	28.7053i	0.251139	−	0.937262i
$939$	−2.37395	+	4.11180i	−0.0774708	+	0.134183i
$940$	13.9259	+	2.96610i	0.454214	+	0.0967436i
$941$	8.30693	+	9.89982i	0.270798	+	0.322725i	0.884256	−	0.467003i	$-0.154666\pi$
$941$	8.30693	+	9.89982i	0.270798	+	0.322725i	−0.613457	+	0.789728i	$0.710222\pi$
$942$	2.25996	+	8.43430i	0.0736336	+	0.274804i
$943$	−3.34426	−	0.896091i	−0.108904	−	0.0291808i
$944$	−2.14170	−	0.779515i	−0.0697064	−	0.0253711i
$945$	−11.3053	+	36.9229i	−0.367760	+	1.20110i
$946$	5.51632	−	0.972676i	0.179351	−	0.0316244i
$947$	−9.38977	+	20.1364i	−0.305126	+	0.654346i	−0.997757	−	0.0669472i	$-0.978674\pi$
$947$	−9.38977	+	20.1364i	−0.305126	+	0.654346i	0.692630	+	0.721293i	$0.256452\pi$
$948$	−0.152209	−	1.73975i	−0.00494350	−	0.0565045i
$949$	−0.187547			−0.00608804
$950$	−12.7312	+	13.4673i	−0.413053	+	0.436936i
$951$	−2.38656			−0.0773896
$952$	1.35915	+	15.5351i	0.0440501	+	0.503495i
$953$	0.0877126	−	0.188100i	0.00284129	−	0.00609316i	−0.904882	−	0.425662i	$-0.860041\pi$
$953$	0.0877126	−	0.188100i	0.00284129	−	0.00609316i	0.907723	+	0.419569i	$0.137819\pi$
$954$	−18.1521	+	3.20071i	−0.587696	+	0.103627i
$955$	−12.1712	+	39.7509i	−0.393849	+	1.28631i
$956$	−4.06479	−	1.47946i	−0.131465	−	0.0478493i
$957$	8.25179	+	2.21106i	0.266743	+	0.0714734i
$958$	2.68436	+	10.0182i	0.0867277	+	0.323672i
$959$	14.5888	+	17.3863i	0.471099	+	0.561433i
$960$	8.01808	+	1.70778i	0.258782	+	0.0551184i
$961$	27.3314	−	47.3394i	0.881659	−	1.52708i
$962$	2.56253	−	9.56349i	0.0826193	−	0.308339i
$963$	18.1729	−	8.47416i	0.585613	−	0.273076i
$964$	−0.0238770	+	0.135413i	−0.000769025	+	0.00436136i
$965$	30.4773	+	27.4649i	0.981099	+	0.884125i
$966$	3.90842	−	1.42255i	0.125751	−	0.0457698i
$967$	31.7239	−	2.77548i	1.02017	−	0.0892534i	0.435222	−	0.900323i	$-0.356670\pi$
$967$	31.7239	−	2.77548i	1.02017	−	0.0892534i	0.584949	+	0.811070i	$0.301114\pi$
$968$	25.8772	−	25.8772i	0.831723	−	0.831723i
$969$	2.81913	−	4.12606i	0.0905637	−	0.132548i
$970$	−2.29682	+	18.6420i	−0.0737464	+	0.598558i
$971$	8.61657	−	10.2688i	0.276519	−	0.329542i	−0.609855	−	0.792513i	$-0.708772\pi$
$971$	8.61657	−	10.2688i	0.276519	−	0.329542i	0.886373	+	0.462971i	$0.153217\pi$
$972$	18.3593	+	8.56110i	0.588876	+	0.274598i
$973$	22.7954	−	32.5552i	0.730786	−	1.04367i
$974$	−8.91077	−	1.57121i	−0.285520	−	0.0503448i
$975$	−2.78098	+	4.11558i	−0.0890627	+	0.131804i
$976$	−0.581061	−	1.00643i	−0.0185993	−	0.0322149i
$977$	12.4193	−	3.32775i	0.397330	−	0.106464i	−0.0546207	−	0.998507i	$-0.517395\pi$
$977$	12.4193	−	3.32775i	0.397330	−	0.106464i	0.451951	+	0.892043i	$0.350728\pi$
$978$	7.35459	+	0.643443i	0.235174	+	0.0205750i
$979$	15.4630	−	12.9750i	0.494199	−	0.414682i
$980$	15.1218	−	20.0499i	0.483048	−	0.640472i
$981$	13.0144	−	7.51386i	0.415518	−	0.239899i
$982$	13.9732	+	29.9657i	0.445904	+	0.956244i
$983$	−7.59418	−	10.8456i	−0.242217	−	0.345921i	0.679576	−	0.733606i	$-0.262164\pi$
$983$	−7.59418	−	10.8456i	−0.242217	−	0.345921i	−0.921792	+	0.387684i	$0.873275\pi$
$984$	0.902200	+	5.11663i	0.0287611	+	0.163112i
$985$	−13.4149	+	21.4484i	−0.427433	+	0.683403i
$986$	−1.95926	−	1.64402i	−0.0623956	−	0.0523561i
$987$	−11.4089	−	11.4089i	−0.363148	−	0.363148i
$988$	−6.35515	+	2.39598i	−0.202184	+	0.0762263i
$989$		−	2.02711i		−	0.0644583i
$990$	−21.8173	−	0.770965i	−0.693400	−	0.0245029i
$991$	−0.111950	−	0.307581i	−0.00355622	−	0.00977062i	0.937902	−	0.346901i	$-0.112766\pi$
$991$	−0.111950	−	0.307581i	−0.00355622	−	0.00977062i	−0.941458	+	0.337130i	$0.890544\pi$
$992$	43.4412	+	30.4178i	1.37926	+	0.965767i
$993$	5.52334	−	3.86749i	0.175278	−	0.122731i
$994$	−3.13926	+	8.62504i	−0.0995712	+	0.273570i
$995$	−24.8884	+	10.5523i	−0.789014	+	0.334529i
$996$	−0.696748	−	0.402268i	−0.0220773	−	0.0127463i
$997$	2.69227	−	30.7728i	0.0852650	−	0.974584i	−0.826246	−	0.563309i	$-0.809528\pi$
$997$	2.69227	−	30.7728i	0.0852650	−	0.974584i	0.911511	−	0.411275i	$-0.134916\pi$
$998$	−1.20487	+	13.7718i	−0.0381396	+	0.435938i
$999$	−35.9080	−	20.7315i	−1.13608	−	0.655915i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	95.2.r.a.3.5	✓	96
3.2	odd	2		855.2.dl.a.478.4		96
5.2	odd	4	inner	95.2.r.a.22.4	yes	96
5.3	odd	4		475.2.bb.b.307.5		96
5.4	even	2		475.2.bb.b.193.4		96
15.2	even	4		855.2.dl.a.307.5		96
19.13	odd	18	inner	95.2.r.a.13.4	yes	96
57.32	even	18		855.2.dl.a.298.5		96
95.13	even	36		475.2.bb.b.32.4		96
95.32	even	36	inner	95.2.r.a.32.5	yes	96
95.89	odd	18		475.2.bb.b.393.5		96
285.32	odd	36		855.2.dl.a.127.4		96

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
95.2.r.a.3.5	✓	96	1.1	even	1	trivial
95.2.r.a.13.4	yes	96	19.13	odd	18	inner
95.2.r.a.22.4	yes	96	5.2	odd	4	inner
95.2.r.a.32.5	yes	96	95.32	even	36	inner
475.2.bb.b.32.4		96	95.13	even	36
475.2.bb.b.193.4		96	5.4	even	2
475.2.bb.b.307.5		96	5.3	odd	4
475.2.bb.b.393.5		96	95.89	odd	18
855.2.dl.a.127.4		96	285.32	odd	36
855.2.dl.a.298.5		96	57.32	even	18
855.2.dl.a.307.5		96	15.2	even	4
855.2.dl.a.478.4		96	3.2	odd	2

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$
Belyi maps

Level:	\( N \)	\(=\)	\( 95 = 5 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	95.r (of order \(36\), degree \(12\), minimal)

\(f(q)\)	\(=\)	\(q+(0.0741107 + 0.847089i) q^{2} +(0.344068 - 0.737855i) q^{3} +(1.25755 - 0.221740i) q^{4} +(0.654653 - 2.13809i) q^{5} +(0.650528 + 0.236773i) q^{6} +(-3.83889 - 1.02863i) q^{7} +(0.721192 + 2.69152i) q^{8} +(1.50231 + 1.79039i) q^{9} +(1.85967 + 0.396094i) q^{10} +(-2.45629 + 4.25442i) q^{11} +(0.269070 - 1.00418i) q^{12} +(1.10589 - 0.515684i) q^{13} +(0.586836 - 3.32811i) q^{14} +(-1.35236 - 1.21869i) q^{15} +(0.173363 - 0.0630990i) q^{16} +(-1.40281 + 0.122730i) q^{17} +(-1.40528 + 1.40528i) q^{18} +(-4.22304 - 1.07980i) q^{19} +(0.349158 - 2.83391i) q^{20} +(-2.07982 + 2.47863i) q^{21} +(-3.78591 - 1.76540i) q^{22} +(-0.867092 + 1.23834i) q^{23} +(2.23409 + 0.393931i) q^{24} +(-4.14286 - 2.79941i) q^{25} +(0.518789 + 0.898569i) q^{26} +(4.19712 - 1.12462i) q^{27} +(-5.05567 - 0.442314i) q^{28} +(1.63627 - 1.37299i) q^{29} +(0.932112 - 1.23588i) q^{30} +(8.01543 - 4.62771i) q^{31} +(2.42153 + 5.19298i) q^{32} +(2.29401 + 3.27619i) q^{33} +(-0.207926 - 1.17921i) q^{34} +(-4.71244 + 7.53450i) q^{35} +(2.28623 + 1.91838i) q^{36} +(-6.74741 - 6.74741i) q^{37} +(0.601718 - 3.65731i) q^{38} -0.993416i q^{39} +(6.22685 + 0.220040i) q^{40} +(0.783311 + 2.15213i) q^{41} +(-2.25375 - 1.57810i) q^{42} +(-1.09842 + 0.769121i) q^{43} +(-2.14553 + 5.89479i) q^{44} +(4.81151 - 2.04000i) q^{45} +(-1.11324 - 0.642730i) q^{46} +(-0.434606 + 4.96757i) q^{47} +(0.0130907 - 0.149627i) q^{48} +(7.61681 + 4.39757i) q^{49} +(2.06432 - 3.71684i) q^{50} +(-0.392104 + 1.07730i) q^{51} +(1.27636 - 0.893717i) q^{52} +(7.59734 + 5.31972i) q^{53} +(1.26370 + 3.47199i) q^{54} +(7.48831 + 8.03693i) q^{55} -11.0743i q^{56} +(-2.24975 + 2.74446i) q^{57} +(1.28431 + 1.28431i) q^{58} +(-9.46359 - 7.94090i) q^{59} +(-1.97088 - 1.23269i) q^{60} +(-1.09383 - 6.20343i) q^{61} +(4.51411 + 6.44682i) q^{62} +(-3.92558 - 8.41843i) q^{63} +(-3.89991 + 2.25161i) q^{64} +(-0.378607 - 2.70208i) q^{65} +(-2.60522 + 2.18604i) q^{66} +(8.76025 + 0.766422i) q^{67} +(-1.73688 + 0.465396i) q^{68} +(0.615374 + 1.06586i) q^{69} +(-6.73163 - 3.43347i) q^{70} +(-2.67473 - 0.471627i) q^{71} +(-3.73542 + 5.33473i) q^{72} +(-0.139300 - 0.0649566i) q^{73} +(5.21560 - 6.21571i) q^{74} +(-3.49099 + 2.09364i) q^{75} +(-5.55010 - 0.421490i) q^{76} +(13.8056 - 13.8056i) q^{77} +(0.841512 - 0.0736228i) q^{78} +(1.57856 - 0.574548i) q^{79} +(-0.0214188 - 0.411974i) q^{80} +(-0.603254 + 3.42123i) q^{81} +(-1.76499 + 0.823030i) q^{82} +(0.200296 - 0.747516i) q^{83} +(-2.06586 + 3.57817i) q^{84} +(-0.655944 + 3.07967i) q^{85} +(-0.732919 - 0.873459i) q^{86} +(-0.450082 - 1.67973i) q^{87} +(-13.2223 - 3.54291i) q^{88} +(-3.86114 - 1.40534i) q^{89} +(2.08465 + 3.92459i) q^{90} +(-4.77583 + 0.842108i) q^{91} +(-0.815821 + 1.74953i) q^{92} +(-0.656731 - 7.50647i) q^{93} -4.24019 q^{94} +(-5.07334 + 8.32233i) q^{95} +4.66483 q^{96} +(0.860973 + 9.84096i) q^{97} +(-3.16065 + 6.77803i) q^{98} +(-11.3072 + 1.99376i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 96 q - 12 q^{2} - 12 q^{3} - 12 q^{5} - 12 q^{6} - 18 q^{8} - 12 q^{10} - 12 q^{11} - 18 q^{12} - 12 q^{13} + 6 q^{15} + 12 q^{16} - 30 q^{17} - 84 q^{20} + 24 q^{21} - 24 q^{22} + 12 q^{25} - 48 q^{26}+ \cdots - 90 q^{98}+O(q^{100}) \) 96 * q - 12 * q^2 - 12 * q^3 - 12 * q^5 - 12 * q^6 - 18 * q^8 - 12 * q^10 - 12 * q^11 - 18 * q^12 - 12 * q^13 + 6 * q^15 + 12 * q^16 - 30 * q^17 - 84 * q^20 + 24 * q^21 - 24 * q^22 + 12 * q^25 - 48 * q^26 - 18 * q^27 - 6 * q^30 - 36 * q^31 + 18 * q^32 + 90 * q^33 - 30 * q^35 + 24 * q^36 + 54 * q^38 + 54 * q^40 + 12 * q^41 + 24 * q^42 + 48 * q^43 + 12 * q^45 - 36 * q^46 - 24 * q^47 + 60 * q^48 + 126 * q^50 - 96 * q^51 - 30 * q^53 + 18 * q^55 - 66 * q^57 + 120 * q^58 + 84 * q^60 - 48 * q^61 + 60 * q^62 - 126 * q^63 + 72 * q^65 + 72 * q^66 + 108 * q^67 + 18 * q^68 + 36 * q^70 - 24 * q^71 + 48 * q^72 + 6 * q^73 + 60 * q^76 + 168 * q^77 - 138 * q^78 - 60 * q^80 - 120 * q^81 + 60 * q^82 - 36 * q^85 - 180 * q^86 - 6 * q^87 - 198 * q^88 - 270 * q^90 - 24 * q^91 - 72 * q^92 - 90 * q^93 - 24 * q^95 - 192 * q^96 - 72 * q^97 - 90 * q^98

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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