LMFDB - Embedded newform 696.2.bs.c.77.94

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [696,2,Mod(77,696)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("696.77"); S:= CuspForms(chi, 2); N := Newforms(S);

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(696, base_ring=CyclotomicField(28)) chi = DirichletCharacter(H, H._module([0, 14, 14, 9])) N = Newforms(chi, 2, names="a")

Level:	$ N $	$=$	$ 696 = 2^{3} \cdot 3 \cdot 29 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	696.bs (of order $28$, degree $12$, minimal)

Newform invariants

comment:select newform

sage:traces = [1344,0] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(2)] == traces)

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

Self dual:	no
Analytic conductor:	$5.55758798068$
Analytic rank:	$0$
Dimension:	$1344$
Relative dimension:	$112$ over $\Q(\zeta_{28})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{28}]$

Embedding invariants

Embedding label			77.94
Character	$\chi$	$=$	696.77
Dual form			696.2.bs.c.461.94

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(1.20353 - 0.742633i) q^{2} +(-1.47941 + 0.900752i) q^{3} +(0.896991 - 1.78757i) q^{4} +(-0.726418 - 0.165800i) q^{5} +(-1.11159 + 2.18274i) q^{6} +(-0.411287 + 0.198065i) q^{7} +(-0.247949 - 2.81754i) q^{8} +(1.37729 - 2.66516i) q^{9} +(-0.997398 + 0.339916i) q^{10} +(2.81239 + 0.316881i) q^{11} +(0.283142 + 3.45251i) q^{12} +(0.0833027 + 0.104458i) q^{13} +(-0.347908 + 0.543814i) q^{14} +(1.22401 - 0.409037i) q^{15} +(-2.39081 - 3.20687i) q^{16} +(-2.02325 - 2.02325i) q^{17} +(-0.321616 - 4.23043i) q^{18} +(-2.45217 - 7.00790i) q^{19} +(-0.947970 + 1.14980i) q^{20} +(0.430053 - 0.663486i) q^{21} +(3.62014 - 1.70720i) q^{22} +(8.11782 - 1.85284i) q^{23} +(2.90472 + 3.94495i) q^{24} +(-4.00465 - 1.92854i) q^{25} +(0.177832 + 0.0638558i) q^{26} +(0.363070 + 5.18345i) q^{27} +(-0.0148651 + 0.912867i) q^{28} +(-1.40374 - 5.19899i) q^{29} +(1.16938 - 1.40128i) q^{30} +(2.95968 + 4.71031i) q^{31} +(-5.25896 - 2.08408i) q^{32} +(-4.44611 + 2.06447i) q^{33} +(-3.93759 - 0.932519i) q^{34} +(0.331605 - 0.0756868i) q^{35} +(-3.52874 - 4.85263i) q^{36} +(-1.09826 - 9.74731i) q^{37} +(-8.15557 - 6.61319i) q^{38} +(-0.217330 - 0.0795013i) q^{39} +(-0.287034 + 2.08782i) q^{40} +(5.44931 - 5.44931i) q^{41} +(0.0248564 - 1.11790i) q^{42} +(-3.32379 + 5.28978i) q^{43} +(3.08914 - 4.74311i) q^{44} +(-1.44237 + 1.70766i) q^{45} +(8.39410 - 8.25852i) q^{46} +(0.387048 + 0.0436098i) q^{47} +(6.42558 + 2.59074i) q^{48} +(-4.23450 + 5.30990i) q^{49} +(-6.25193 + 0.652925i) q^{50} +(4.81566 + 1.17077i) q^{51} +(0.261448 - 0.0552113i) q^{52} +(0.290914 - 1.27458i) q^{53} +(4.28637 + 5.96884i) q^{54} +(-1.99044 - 0.696484i) q^{55} +(0.660035 + 1.10971i) q^{56} +(9.94014 + 8.15874i) q^{57} +(-5.55040 - 5.21470i) q^{58} +9.35172 q^{59} +(0.366748 - 2.55491i) q^{60} +(7.45436 + 2.60839i) q^{61} +(7.06011 + 3.47106i) q^{62} +(-0.0385869 + 1.36894i) q^{63} +(-7.87704 + 1.39721i) q^{64} +(-0.0431934 - 0.0896921i) q^{65} +(-3.81790 + 5.78649i) q^{66} +(-1.56210 + 1.95881i) q^{67} +(-5.43154 + 1.80187i) q^{68} +(-10.3406 + 10.0532i) q^{69} +(0.342891 - 0.337353i) q^{70} +(7.43977 + 9.32917i) q^{71} +(-7.85068 - 3.21975i) q^{72} +(-6.72559 + 10.7037i) q^{73} +(-8.56047 - 10.9156i) q^{74} +(7.66164 - 0.754103i) q^{75} +(-14.7267 - 1.90260i) q^{76} +(-1.21946 + 0.426709i) q^{77} +(-0.320604 + 0.0657137i) q^{78} +(-0.843091 - 7.48264i) q^{79} +(1.20503 + 2.72593i) q^{80} +(-5.20613 - 7.34140i) q^{81} +(2.51159 - 10.6053i) q^{82} +(-1.83901 - 0.885619i) q^{83} +(-0.800275 - 1.36389i) q^{84} +(1.13427 + 1.80518i) q^{85} +(-0.0719278 + 8.83479i) q^{86} +(6.75971 + 6.42700i) q^{87} +(0.195492 - 8.00260i) q^{88} +(-7.73322 + 4.85910i) q^{89} +(-0.467779 + 3.12639i) q^{90} +(-0.0549509 - 0.0264629i) q^{91} +(3.96953 - 16.1732i) q^{92} +(-8.62139 - 4.30252i) q^{93} +(0.498211 - 0.234949i) q^{94} +(0.619390 + 5.49724i) q^{95} +(9.65738 - 1.65381i) q^{96} +(3.21007 + 9.17386i) q^{97} +(-1.15306 + 9.53533i) q^{98} +(4.71803 - 7.05904i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 1344 q - 28 q^{4} - 14 q^{6} - 40 q^{7} - 28 q^{9} - 48 q^{10} - 12 q^{15} - 84 q^{16} + 12 q^{18} - 28 q^{22} - 10 q^{24} + 120 q^{25} - 16 q^{30} - 8 q^{31} - 28 q^{33} - 28 q^{34} - 86 q^{36} - 36 q^{39}+ \cdots - 24 q^{97}+O(q^{100}) $ 1344 * q - 28 * q^4 - 14 * q^6 - 40 * q^7 - 28 * q^9 - 48 * q^10 - 12 * q^15 - 84 * q^16 + 12 * q^18 - 28 * q^22 - 10 * q^24 + 120 * q^25 - 16 * q^30 - 8 * q^31 - 28 * q^33 - 28 * q^34 - 86 * q^36 - 36 * q^39 - 60 * q^40 - 14 * q^42 - 112 * q^46 - 16 * q^48 - 88 * q^49 + 104 * q^52 - 10 * q^54 + 16 * q^55 - 188 * q^58 + 68 * q^60 - 196 * q^63 + 224 * q^64 - 44 * q^66 + 280 * q^70 + 56 * q^72 + 8 * q^73 - 68 * q^76 + 14 * q^78 - 72 * q^79 - 60 * q^81 - 20 * q^82 - 40 * q^84 - 48 * q^87 - 40 * q^88 - 4 * q^90 - 128 * q^94 - 56 * q^96 - 24 * q^97

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/696\mathbb{Z}\right)^\times$.

$n$	$175$	$233$	$349$	$553$
$\chi(n)$	$1$	$-1$	$-1$	$e\left(\frac{9}{28}\right)$

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	1.20353	−	0.742633i	0.851027	−	0.525121i
$2$	1.20353	−	0.742633i	0.851027	−	0.525121i
$3$	−1.47941	+	0.900752i	−0.854136	+	0.520049i
$3$	−1.47941	+	0.900752i	−0.854136	+	0.520049i
$4$	0.896991	−	1.78757i	0.448496	−	0.893785i
$5$	−0.726418	−	0.165800i	−0.324864	−	0.0741481i	0.0569787	−	0.998375i	$-0.481853\pi$
$5$	−0.726418	−	0.165800i	−0.324864	−	0.0741481i	−0.381843	+	0.924227i	$0.624710\pi$
$6$	−1.11159	+	2.18274i	−0.453805	+	0.891101i
$7$	−0.411287	+	0.198065i	−0.155452	+	0.0748616i	−0.509992	−	0.860179i	$-0.670352\pi$
$7$	−0.411287	+	0.198065i	−0.155452	+	0.0748616i	0.354540	+	0.935041i	$0.384637\pi$
$8$	−0.247949	−	2.81754i	−0.0876633	−	0.996150i
$9$	1.37729	−	2.66516i	0.459097	−	0.888386i
$10$	−0.997398	+	0.339916i	−0.315405	+	0.107491i
$11$	2.81239	+	0.316881i	0.847969	+	0.0955431i	0.525246	−	0.850950i	$-0.323973\pi$
$11$	2.81239	+	0.316881i	0.847969	+	0.0955431i	0.322723	+	0.946494i	$0.395402\pi$
$12$	0.283142	+	3.45251i	0.0817360	+	0.996654i
$13$	0.0833027	+	0.104458i	0.0231040	+	0.0289715i	0.793249	−	0.608897i	$-0.208388\pi$
$13$	0.0833027	+	0.104458i	0.0231040	+	0.0289715i	−0.770145	+	0.637869i	$0.779816\pi$
$14$	−0.347908	+	0.543814i	−0.0929823	+	0.145340i
$15$	1.22401	−	0.409037i	0.316039	−	0.105613i
$16$	−2.39081	−	3.20687i	−0.597703	−	0.801717i
$17$	−2.02325	−	2.02325i	−0.490711	−	0.490711i	0.417819	−	0.908530i	$-0.362794\pi$
$17$	−2.02325	−	2.02325i	−0.490711	−	0.490711i	−0.908530	+	0.417819i	$0.862794\pi$
$18$	−0.321616	−	4.23043i	−0.0758057	−	0.997123i
$19$	−2.45217	−	7.00790i	−0.562566	−	1.60772i	−0.775978	−	0.630760i	$-0.782743\pi$
$19$	−2.45217	−	7.00790i	−0.562566	−	1.60772i	0.213411	−	0.976962i	$-0.431543\pi$
$20$	−0.947970	+	1.14980i	−0.211973	+	0.257104i
$21$	0.430053	−	0.663486i	0.0938452	−	0.144785i
$22$	3.62014	−	1.70720i	0.771817	−	0.363977i
$23$	8.11782	−	1.85284i	1.69268	−	0.386344i	0.735887	−	0.677105i	$-0.236766\pi$
$23$	8.11782	−	1.85284i	1.69268	−	0.386344i	0.956796	+	0.290761i	$0.0939084\pi$
$24$	2.90472	+	3.94495i	0.592924	+	0.805259i
$25$	−4.00465	−	1.92854i	−0.800930	−	0.385708i
$26$	0.177832	+	0.0638558i	0.0348757	+	0.0125232i
$27$	0.363070	+	5.18345i	0.0698728	+	0.997556i
$28$	−0.0148651	+	0.912867i	−0.00280923	+	0.172516i
$29$	−1.40374	−	5.19899i	−0.260668	−	0.965428i
$29$	−1.40374	−	5.19899i	−0.260668	−	0.965428i
$30$	1.16938	−	1.40128i	0.213498	−	0.255838i
$31$	2.95968	+	4.71031i	0.531574	+	0.845996i	0.999282	−	0.0378874i	$-0.0120628\pi$
$31$	2.95968	+	4.71031i	0.531574	+	0.845996i	−0.467708	+	0.883883i	$0.654920\pi$
$32$	−5.25896	−	2.08408i	−0.929661	−	0.368417i
$33$	−4.44611	+	2.06447i	−0.773968	+	0.359379i
$34$	−3.93759	−	0.932519i	−0.675291	−	0.159926i
$35$	0.331605	−	0.0756868i	0.0560516	−	0.0127934i
$36$	−3.52874	−	4.85263i	−0.588123	−	0.808772i
$37$	−1.09826	−	9.74731i	−0.180552	−	1.60245i	−0.678073	−	0.734995i	$-0.737185\pi$
$37$	−1.09826	−	9.74731i	−0.180552	−	1.60245i	0.497520	−	0.867452i	$-0.334244\pi$
$38$	−8.15557	−	6.61319i	−1.32301	−	1.07280i
$39$	−0.217330	−	0.0795013i	−0.0348006	−	0.0127304i
$40$	−0.287034	+	2.08782i	−0.0453840	+	0.330114i
$41$	5.44931	−	5.44931i	0.851039	−	0.851039i	−0.139222	−	0.990261i	$-0.544460\pi$
$41$	5.44931	−	5.44931i	0.851039	−	0.851039i	0.990261	+	0.139222i	$0.0444602\pi$
$42$	0.0248564	−	1.11790i	0.00383543	−	0.172496i
$43$	−3.32379	+	5.28978i	−0.506873	+	0.806684i	−0.997921	−	0.0644486i	$-0.979471\pi$
$43$	−3.32379	+	5.28978i	−0.506873	+	0.806684i	0.491048	+	0.871133i	$0.336614\pi$
$44$	3.08914	−	4.74311i	0.465705	−	0.715051i
$45$	−1.44237	+	1.70766i	−0.215016	+	0.254564i
$46$	8.39410	−	8.25852i	1.23764	−	1.21765i
$47$	0.387048	+	0.0436098i	0.0564567	+	0.00636114i	0.140148	−	0.990131i	$-0.455242\pi$
$47$	0.387048	+	0.0436098i	0.0564567	+	0.00636114i	−0.0836909	+	0.996492i	$0.526671\pi$
$48$	6.42558	+	2.59074i	0.927453	+	0.373941i
$49$	−4.23450	+	5.30990i	−0.604929	+	0.758557i
$50$	−6.25193	+	0.652925i	−0.884157	+	0.0923375i
$51$	4.81566	+	1.17077i	0.674327	+	0.163940i
$52$	0.261448	−	0.0552113i	0.0362564	−	0.00765643i
$53$	0.290914	−	1.27458i	0.0399601	−	0.175077i	−0.951010	−	0.309161i	$-0.899952\pi$
$53$	0.290914	−	1.27458i	0.0399601	−	0.175077i	0.990970	+	0.134084i	$0.0428091\pi$
$54$	4.28637	+	5.96884i	0.583301	+	0.812256i
$55$	−1.99044	−	0.696484i	−0.268390	−	0.0939138i
$56$	0.660035	+	1.10971i	0.0882008	+	0.148291i
$57$	9.94014	+	8.15874i	1.31660	+	1.08065i
$58$	−5.55040	−	5.21470i	−0.728803	−	0.684724i
$59$	9.35172			1.21749			0.608745	−	0.793366i	$-0.291673\pi$
$59$	9.35172			1.21749			0.608745	+	0.793366i	$0.291673\pi$
$60$	0.366748	−	2.55491i	0.0473469	−	0.329838i
$61$	7.45436	+	2.60839i	0.954433	+	0.333970i	0.762173	−	0.647374i	$-0.224133\pi$
$61$	7.45436	+	2.60839i	0.954433	+	0.333970i	0.192260	+	0.981344i	$0.438418\pi$
$62$	7.06011	+	3.47106i	0.896635	+	0.440825i
$63$	−0.0385869	+	1.36894i	−0.00486149	+	0.172470i
$64$	−7.87704	+	1.39721i	−0.984630	+	0.174652i
$65$	−0.0431934	−	0.0896921i	−0.00535748	−	0.0111249i
$66$	−3.81790	+	5.78649i	−0.469951	+	0.712268i
$67$	−1.56210	+	1.95881i	−0.190840	+	0.239306i	−0.868041	−	0.496492i	$-0.834621\pi$
$67$	−1.56210	+	1.95881i	−0.190840	+	0.239306i	0.677201	+	0.735798i	$0.263193\pi$
$68$	−5.43154	+	1.80187i	−0.658671	+	0.218508i
$69$	−10.3406	+	10.0532i	−1.24486	+	1.21027i
$70$	0.342891	−	0.337353i	0.0409833	−	0.0403214i
$71$	7.43977	+	9.32917i	0.882938	+	1.10717i	0.993560	+	0.113307i	$0.0361442\pi$
$71$	7.43977	+	9.32917i	0.882938	+	1.10717i	−0.110622	+	0.993863i	$0.535284\pi$
$72$	−7.85068	−	3.21975i	−0.925212	−	0.379451i
$73$	−6.72559	+	10.7037i	−0.787171	+	1.25278i	0.176134	+	0.984366i	$0.443641\pi$
$73$	−6.72559	+	10.7037i	−0.787171	+	1.25278i	−0.963305	+	0.268409i	$0.913502\pi$
$74$	−8.56047	−	10.9156i	−0.995134	−	1.26891i
$75$	7.66164	−	0.754103i	0.884690	−	0.0870763i
$76$	−14.7267	−	1.90260i	−1.68927	−	0.218243i
$77$	−1.21946	+	0.426709i	−0.138971	+	0.0486280i
$78$	−0.320604	+	0.0657137i	−0.0363013	+	0.00744061i
$79$	−0.843091	−	7.48264i	−0.0948551	−	0.841863i	−0.947584	−	0.319508i	$-0.896482\pi$
$79$	−0.843091	−	7.48264i	−0.0948551	−	0.841863i	0.852728	−	0.522355i	$-0.174946\pi$
$80$	1.20503	+	2.72593i	0.134727	+	0.304768i
$81$	−5.20613	−	7.34140i	−0.578459	−	0.815711i
$82$	2.51159	−	10.6053i	0.277359	−	1.17116i
$83$	−1.83901	−	0.885619i	−0.201857	−	0.0972093i	0.330224	−	0.943903i	$-0.392876\pi$
$83$	−1.83901	−	0.885619i	−0.201857	−	0.0972093i	−0.532081	+	0.846693i	$0.678590\pi$
$84$	−0.800275	−	1.36389i	−0.0873171	−	0.148813i
$85$	1.13427	+	1.80518i	0.123029	+	0.195800i
$86$	−0.0719278	+	8.83479i	−0.00775617	+	0.952680i
$87$	6.75971	+	6.42700i	0.724717	+	0.689047i
$88$	0.195492	−	8.00260i	0.0208395	−	0.853080i
$89$	−7.73322	+	4.85910i	−0.819720	+	0.515064i	−0.875408	−	0.483384i	$-0.839407\pi$
$89$	−7.73322	+	4.85910i	−0.819720	+	0.515064i	0.0556887	+	0.998448i	$0.482265\pi$
$90$	−0.467779	+	3.12639i	−0.0493082	+	0.329550i
$91$	−0.0549509	−	0.0264629i	−0.00576042	−	0.00277407i
$92$	3.96953	−	16.1732i	0.413852	−	1.68617i
$93$	−8.62139	−	4.30252i	−0.893997	−	0.446151i
$94$	0.498211	−	0.234949i	0.0513866	−	0.0242331i
$95$	0.619390	+	5.49724i	0.0635481	+	0.564005i
$96$	9.65738	−	1.65381i	0.985652	−	0.168791i
$97$	3.21007	+	9.17386i	0.325934	+	0.931465i	0.983947	+	0.178459i	$0.0571111\pi$
$97$	3.21007	+	9.17386i	0.325934	+	0.931465i	−0.658014	+	0.753006i	$0.728603\pi$
$98$	−1.15306	+	9.53533i	−0.116477	+	0.963214i
$99$	4.71803	−	7.05904i	0.474180	−	0.709460i
$100$	−7.03953	+	5.42871i	−0.703953	+	0.542871i
$101$	10.4198	+	6.54718i	1.03681	+	0.651469i	0.939064	−	0.343742i	$-0.111695\pi$
$101$	10.4198	+	6.54718i	1.03681	+	0.651469i	0.0977434	+	0.995212i	$0.468838\pi$
$102$	6.66526	−	2.16721i	0.659959	−	0.214586i
$103$	0.275499	+	0.345465i	0.0271458	+	0.0340397i	0.795219	−	0.606322i	$-0.207356\pi$
$103$	0.275499	+	0.345465i	0.0271458	+	0.0340397i	−0.768073	+	0.640362i	$0.778784\pi$
$104$	0.273660	−	0.260609i	0.0268346	−	0.0255548i
$105$	−0.422405	+	0.410666i	−0.0412225	+	0.0400769i
$106$	−0.596419	−	1.75004i	−0.0579294	−	0.169979i
$107$	−8.99626	+	11.2809i	−0.869701	+	1.09057i	0.125439	+	0.992101i	$0.459966\pi$
$107$	−8.99626	+	11.2809i	−0.869701	+	1.09057i	−0.995140	+	0.0984691i	$0.968605\pi$
$108$	9.59145	+	4.00050i	0.922938	+	0.384948i
$109$	−5.61480	+	2.70394i	−0.537800	+	0.258991i	−0.683009	−	0.730410i	$-0.739329\pi$
$109$	−5.61480	+	2.70394i	−0.537800	+	0.258991i	0.145209	+	0.989401i	$0.453615\pi$
$110$	−2.91279	+	0.639922i	−0.277724	+	0.0610142i
$111$	10.4047	+	13.4310i	0.987568	+	1.27481i
$112$	1.61848	+	0.845406i	0.152932	+	0.0798833i
$113$	3.90773	−	11.1676i	0.367608	−	1.05056i	−0.600412	−	0.799691i	$-0.704997\pi$
$113$	3.90773	−	11.1676i	0.367608	−	1.05056i	0.968020	−	0.250872i	$-0.0807175\pi$
$114$	18.0223	+	2.43745i	1.68794	+	0.228288i
$115$	−6.20413			−0.578539
$116$	−10.5527	−	2.15416i	−0.979794	−	0.200009i
$117$	0.393130	−	0.0781453i	0.0363449	−	0.00722454i
$118$	11.2551	−	6.94490i	1.03612	−	0.639330i
$119$	1.23287	+	0.431401i	0.113017	+	0.0395464i
$120$	−1.45597	−	3.34728i	−0.132911	−	0.305564i
$121$	−2.91506	−	0.665343i	−0.265005	−	0.0604857i
$122$	10.9087	−	2.39656i	0.987623	−	0.216975i
$123$	−3.15327	+	12.9702i	−0.284321	+	1.16949i
$124$	11.0748	−	1.06553i	0.994547	−	0.0956879i
$125$	5.50201	+	4.38771i	0.492115	+	0.392448i
$126$	0.970178	+	1.67622i	0.0864303	+	0.149330i
$127$	15.4187	+	1.73727i	1.36819	+	0.154158i	0.765304	−	0.643669i	$-0.222589\pi$
$127$	15.4187	+	1.73727i	1.36819	+	0.154158i	0.602886	+	0.797827i	$0.294017\pi$
$128$	−8.44268	+	7.53135i	−0.746234	+	0.665684i
$129$	0.152459	−	10.8197i	0.0134233	−	0.952617i
$130$	−0.118593	−	0.0758706i	−0.0104013	−	0.00665429i
$131$	3.45451	−	5.49783i	0.301822	−	0.480347i	−0.661036	−	0.750354i	$-0.729883\pi$
$131$	3.45451	−	5.49783i	0.301822	−	0.480347i	0.962858	+	0.270007i	$0.0870259\pi$
$132$	−0.297728	+	9.79954i	−0.0259139	+	0.852941i
$133$	2.39657	+	2.39657i	0.207809	+	0.207809i
$134$	−0.425362	+	3.51756i	−0.0367456	+	0.303871i
$135$	0.595677	−	3.82555i	0.0512677	−	0.329251i
$136$	−5.19892	+	6.20225i	−0.445804	+	0.531839i
$137$	−7.27734	+	0.819959i	−0.621745	+	0.0700538i	−0.417217	−	0.908807i	$-0.636995\pi$
$137$	−7.27734	+	0.819959i	−0.621745	+	0.0700538i	−0.204528	+	0.978861i	$0.565566\pi$
$138$	−4.97941	+	19.7787i	−0.423876	+	1.68368i
$139$	−15.3771	+	3.50973i	−1.30427	+	0.297691i	−0.817546	−	0.575864i	$-0.804666\pi$
$139$	−15.3771	+	3.50973i	−1.30427	+	0.297691i	−0.486725	+	0.873555i	$0.661809\pi$
$140$	0.162152	−	0.660658i	0.0137043	−	0.0558358i
$141$	−0.611883	+	0.284117i	−0.0515298	+	0.0239270i
$142$	15.8822	+	5.70296i	1.33280	+	0.478582i
$143$	0.201179	+	0.320175i	0.0168235	+	0.0267744i
$144$	−11.8397	+	1.95510i	−0.986638	+	0.162925i
$145$	0.157710	+	4.00938i	0.0130971	+	0.332961i
$146$	−0.145544	+	17.8769i	−0.0120453	+	1.47951i
$147$	1.48165	−	11.6697i	0.122205	−	0.962504i
$148$	−18.4091	−	6.78003i	−1.51322	−	0.557315i
$149$	7.25374	−	15.0626i	0.594250	−	1.23397i	−0.359437	−	0.933169i	$-0.617031\pi$
$149$	7.25374	−	15.0626i	0.594250	−	1.23397i	0.953686	−	0.300803i	$-0.0972546\pi$
$150$	8.66103	−	6.59738i	0.707170	−	0.538674i
$151$	4.88065	−	1.11398i	0.397182	−	0.0906542i	−0.0192645	−	0.999814i	$-0.506132\pi$
$151$	4.88065	−	1.11398i	0.397182	−	0.0906542i	0.416446	+	0.909160i	$0.363275\pi$
$152$	−19.1370	+	8.64669i	−1.55222	+	0.701339i
$153$	−8.17889	+	2.60568i	−0.661224	+	0.210656i
$154$	−1.15078	+	1.41917i	−0.0927324	+	0.114360i
$155$	−1.36900	−	3.91237i	−0.109960	−	0.314249i
$156$	−0.337057	+	0.317180i	−0.0269862	+	0.0253947i
$157$	3.79147	−	3.79147i	0.302592	−	0.302592i	−0.539435	−	0.842027i	$-0.681362\pi$
$157$	3.79147	−	3.79147i	0.302592	−	0.302592i	0.842027	+	0.539435i	$0.181362\pi$
$158$	−6.57155	−	8.37951i	−0.522804	−	0.666638i
$159$	0.717698	+	2.14766i	0.0569172	+	0.170321i
$160$	3.47466	+	2.38585i	0.274696	+	0.188618i
$161$	−2.97177	+	2.36991i	−0.234208	+	0.186775i
$162$	−11.7177	−	4.96938i	−0.920632	−	0.390432i
$163$	9.23815	+	1.04089i	0.723588	+	0.0815288i	0.466074	−	0.884746i	$-0.345668\pi$
$163$	9.23815	+	1.04089i	0.723588	+	0.0815288i	0.257514	+	0.966275i	$0.417097\pi$
$164$	−4.85304	−	14.6290i	−0.378959	−	1.14233i
$165$	3.57202	−	0.762506i	0.278082	−	0.0593610i
$166$	−2.87100	+	0.299835i	−0.222833	+	0.0232717i
$167$	−16.2524	+	7.82672i	−1.25765	+	0.605650i	−0.939551	−	0.342409i	$-0.888757\pi$
$167$	−16.2524	+	7.82672i	−1.25765	+	0.605650i	−0.318094	+	0.948059i	$0.603043\pi$
$168$	−1.97603	−	1.04718i	−0.152454	−	0.0807917i
$169$	2.88880	−	12.6567i	0.222215	−	0.973589i
$170$	2.70572	+	1.33025i	0.207520	+	0.102026i
$171$	−22.0545	−	3.11651i	−1.68655	−	0.238325i
$172$	6.47444	+	10.6864i	0.493672	+	0.814830i
$173$			21.0469i			1.60017i	0.599889	+	0.800083i	$0.295212\pi$
$173$			21.0469i			1.60017i	−0.599889	+	0.800083i	$0.704788\pi$
$174$	12.9084	+	2.71514i	0.978587	+	0.205834i
$175$	2.02904			0.153381
$176$	−5.70772	−	9.77658i	−0.430235	−	0.736938i
$177$	−13.8350	+	8.42358i	−1.03990	+	0.633155i
$178$	−5.69866	+	11.5910i	−0.427133	+	0.868786i
$179$	21.2039	+	4.83966i	1.58485	+	0.361733i	0.922054	−	0.387062i	$-0.126510\pi$
$179$	21.2039	+	4.83966i	1.58485	+	0.361733i	0.662801	+	0.748795i	$0.269367\pi$
$180$	1.75877	+	4.11010i	0.131091	+	0.306349i
$181$	−1.63067	−	3.38613i	−0.121207	−	0.251689i	0.831533	−	0.555475i	$-0.187463\pi$
$181$	−1.63067	−	3.38613i	−0.121207	−	0.251689i	−0.952740	+	0.303786i	$0.901749\pi$
$182$	−0.0857875	+	0.00895928i	−0.00635900	+	0.000664106i
$183$	−13.3775	+	2.85565i	−0.988897	+	0.211096i
$184$	−7.23325	−	22.4129i	−0.533243	−	1.65230i
$185$	−0.818311	+	7.26271i	−0.0601634	+	0.533965i
$186$	−13.5713	+	1.22430i	−0.995099	+	0.0897699i
$187$	−5.04905	−	6.33131i	−0.369223	−	0.462991i
$188$	0.425134	−	0.652757i	0.0310061	−	0.0476072i
$189$	−1.17599	−	2.05997i	−0.0855405	−	0.149841i
$190$	4.82789	+	6.15614i	0.350252	+	0.446613i
$191$	9.88689	+	9.88689i	0.715390	+	0.715390i	0.967658	−	0.252268i	$-0.0811763\pi$
$191$	9.88689	+	9.88689i	0.715390	+	0.715390i	−0.252268	+	0.967658i	$0.581176\pi$
$192$	10.3948	−	9.16231i	0.750181	−	0.661233i
$193$	12.1774	−	4.26104i	0.876546	−	0.306717i	0.145757	−	0.989320i	$-0.453438\pi$
$193$	12.1774	−	4.26104i	0.876546	−	0.306717i	0.730789	+	0.682604i	$0.239153\pi$
$194$	10.6763	+	8.65716i	0.766510	+	0.621548i
$195$	0.144691	+	0.0937845i	0.0103615	+	0.00671605i
$196$	5.69350	+	12.3324i	0.406679	+	0.880886i
$197$	3.17494	+	13.9103i	0.226205	+	0.991069i	0.952704	+	0.303901i	$0.0982893\pi$
$197$	3.17494	+	13.9103i	0.226205	+	0.991069i	−0.726499	+	0.687168i	$0.758854\pi$
$198$	0.436031	−	11.9996i	0.0309874	−	0.852772i
$199$	13.6434	+	6.57030i	0.967152	+	0.465756i	0.849667	−	0.527319i	$-0.176803\pi$
$199$	13.6434	+	6.57030i	0.967152	+	0.465756i	0.117485	+	0.993075i	$0.462517\pi$
$200$	−4.44078	+	11.7614i	−0.314010	+	0.831659i
$201$	0.546578	−	4.30493i	0.0385526	−	0.303647i
$202$	17.4027	+	0.141683i	1.22445	+	0.00996878i
$203$	1.60708	+	1.86024i	0.112795	+	0.130563i
$204$	6.41243	−	7.55816i	0.448960	−	0.529177i
$205$	−4.86197	+	3.05498i	−0.339575	+	0.213369i
$206$	0.588127	+	0.211184i	0.0409768	+	0.0147139i
$207$	6.24250	−	24.1872i	0.433884	−	1.68112i
$208$	0.135823	−	0.516881i	0.00941762	−	0.0358393i
$209$	−4.67580	−	20.4860i	−0.323432	−	1.41705i
$210$	−0.203404	+	0.807942i	−0.0140362	+	0.0557533i
$211$	−1.83824	−	16.3148i	−0.126550	−	1.12316i	−0.883087	−	0.469209i	$-0.844539\pi$
$211$	−1.83824	−	16.3148i	−0.126550	−	1.12316i	0.756538	−	0.653950i	$-0.226889\pi$
$212$	−2.01745	−	1.66332i	−0.138559	−	0.114237i
$213$	−19.4097	−	7.10026i	−1.32993	−	0.486502i
$214$	−2.44970	+	20.2579i	−0.167458	+	1.38480i
$215$	3.29151	−	3.29151i	0.224479	−	0.224479i
$216$	14.5146	−	2.30820i	0.987590	−	0.157053i
$217$	−2.15023	−	1.35108i	−0.145967	−	0.0917170i
$218$	−4.74956	+	7.42402i	−0.321681	+	0.502818i
$219$	0.308496	−	21.8932i	0.0208462	−	1.47941i
$220$	−3.03042	+	2.93330i	−0.204311	+	0.197763i
$221$	0.0428031	−	0.379888i	0.00287925	−	0.0255540i
$222$	22.4967	+	8.43779i	1.50988	+	0.566307i
$223$	−4.23946	+	5.31611i	−0.283895	+	0.355993i	−0.903248	−	0.429120i	$-0.858824\pi$
$223$	−4.23946	+	5.31611i	−0.283895	+	0.355993i	0.619352	+	0.785113i	$0.287395\pi$
$224$	2.57572	−	0.184462i	0.172098	−	0.0123249i
$225$	−10.6554	+	8.01687i	−0.710362	+	0.534458i
$226$	−3.59038	−	16.3426i	−0.238828	−	1.08710i
$227$	1.26566	−	5.54523i	0.0840050	−	0.368050i	−0.915400	−	0.402546i	$-0.868125\pi$
$227$	1.26566	−	5.54523i	0.0840050	−	0.368050i	0.999405	+	0.0344959i	$0.0109826\pi$
$228$	23.5005	−	10.4504i	1.55636	−	0.692093i
$229$	4.24160	−	12.1218i	0.280292	−	0.801030i	−0.714549	−	0.699586i	$-0.753368\pi$
$229$	4.24160	−	12.1218i	0.280292	−	0.801030i	0.994841	−	0.101444i	$-0.0323464\pi$
$230$	−7.46689	+	4.60740i	−0.492352	+	0.303803i
$231$	1.41972	−	1.72971i	0.0934110	−	0.113807i
$232$	−14.3003	+	5.24418i	−0.938861	+	0.344298i
$233$		−	11.4779i		−	0.751941i	−0.926632	−	0.375970i	$-0.877309\pi$
$233$		−	11.4779i		−	0.751941i	0.926632	−	0.375970i	$-0.122691\pi$
$234$	0.415112	−	0.386002i	0.0271367	−	0.0252337i
$235$	−0.273928	−	0.0958515i	−0.0178691	−	0.00625266i
$236$	8.38841	−	16.7169i	0.546039	−	1.08818i
$237$	7.98728	+	10.3105i	0.518829	+	0.669736i
$238$	1.80418	−	0.396367i	0.116947	−	0.0256926i
$239$	−4.10208	−	8.51806i	−0.265342	−	0.550988i	0.725145	−	0.688596i	$-0.241773\pi$
$239$	−4.10208	−	8.51806i	−0.265342	−	0.550988i	−0.990487	+	0.137609i	$0.956058\pi$
$240$	−4.23811	−	2.94732i	−0.273569	−	0.190249i
$241$	−11.0076	−	8.77825i	−0.709060	−	0.565456i	0.201172	−	0.979556i	$-0.435525\pi$
$241$	−11.0076	−	8.77825i	−0.709060	−	0.565456i	−0.910232	+	0.414100i	$0.864097\pi$
$242$	−4.00248	+	1.36406i	−0.257289	+	0.0876848i
$243$	14.3148	+	6.17149i	0.918293	+	0.395901i
$244$	11.3492	−	10.9855i	0.726557	−	0.703273i
$245$	3.95640	−	3.15513i	0.252765	−	0.201574i
$246$	5.83705	+	17.9518i	0.372157	+	1.14457i
$247$	0.527761	−	0.839927i	0.0335806	−	0.0534433i
$248$	12.5376	−	9.50693i	0.796139	−	0.603691i
$249$	3.51836	−	0.346298i	0.222967	−	0.0219457i
$250$	9.88032	+	1.19478i	0.624886	+	0.0755645i
$251$	−1.44782	+	0.506615i	−0.0913857	+	0.0319772i	−0.375585	−	0.926788i	$-0.622558\pi$
$251$	−1.44782	+	0.506615i	−0.0913857	+	0.0319772i	0.284199	+	0.958765i	$0.408272\pi$
$252$	2.41246	+	1.29690i	0.151971	+	0.0816971i
$253$	23.4176	−	2.63853i	1.47225	−	0.165883i
$254$	19.8471	−	9.35959i	1.24532	−	0.587273i
$255$	−3.30407	−	1.64890i	−0.206909	−	0.103258i
$256$	−4.56802	+	15.3341i	−0.285501	+	0.958378i
$257$	−3.65190	+	7.58324i	−0.227799	+	0.473030i	−0.983270	−	0.182152i	$-0.941694\pi$
$257$	−3.65190	+	7.58324i	−0.227799	+	0.473030i	0.755471	+	0.655182i	$0.227408\pi$
$258$	−7.85154	−	13.1350i	−0.488816	−	0.817752i
$259$	2.38230	+	3.79141i	0.148029	+	0.235587i
$260$	−0.199075	−	0.00324172i	−0.0123461	−	0.000201043i
$261$	−15.7895	−	3.41934i	−0.977345	−	0.211652i
$262$	0.0747567	−	9.18226i	0.00461848	−	0.567282i
$263$	−8.31573	+	5.22512i	−0.512770	+	0.322195i	−0.763441	−	0.645878i	$-0.776492\pi$
$263$	−8.31573	+	5.22512i	−0.512770	+	0.322195i	0.250671	+	0.968072i	$0.419349\pi$
$264$	6.91914	+	12.0152i	0.425844	+	0.739484i
$265$	−0.422651	+	0.877644i	−0.0259632	+	0.0539132i
$266$	4.66412	+	1.10458i	0.285976	+	0.0677262i
$267$	7.06374	−	14.1543i	0.432294	−	0.866229i
$268$	2.10032	+	4.54939i	0.128297	+	0.277898i
$269$	0.488272	−	0.0550150i	0.0297705	−	0.00335432i	−0.0970667	−	0.995278i	$-0.530946\pi$
$269$	0.488272	−	0.0550150i	0.0297705	−	0.00335432i	0.126837	+	0.991924i	$0.459517\pi$
$270$	−2.12406	−	5.04655i	−0.129266	−	0.307123i
$271$	−9.53897	−	27.2608i	−0.579451	−	1.65598i	−0.742882	−	0.669422i	$-0.766542\pi$
$271$	−9.53897	−	27.2608i	−0.579451	−	1.65598i	0.163431	−	0.986555i	$-0.447744\pi$
$272$	−1.65109	+	11.3255i	−0.100112	+	0.686711i
$273$	0.105131	−	0.0103476i	0.00636283	−	0.000626267i
$274$	−8.14960	+	6.39125i	−0.492335	+	0.386109i
$275$	−10.6515	−	6.69281i	−0.642312	−	0.403591i
$276$	8.69544	+	27.5022i	0.523404	+	1.65544i
$277$	13.4650	−	10.7380i	0.809036	−	0.645184i	−0.129031	−	0.991641i	$-0.541187\pi$
$277$	13.4650	−	10.7380i	0.809036	−	0.645184i	0.938066	+	0.346456i	$0.112615\pi$
$278$	−15.9005	+	15.6437i	−0.953647	+	0.938244i
$279$	16.6301	−	1.40055i	0.995615	−	0.0838487i
$280$	−0.295472	−	0.915545i	−0.0176578	−	0.0547143i
$281$	9.57705	+	7.63744i	0.571319	+	0.455612i	0.866042	−	0.499971i	$-0.166656\pi$
$281$	9.57705	+	7.63744i	0.571319	+	0.455612i	−0.294723	+	0.955583i	$0.595227\pi$
$282$	−0.525427	+	0.796349i	−0.0312887	+	0.0474219i
$283$	−15.1055	+	7.27442i	−0.897929	+	0.432420i	−0.825140	−	0.564928i	$-0.808904\pi$
$283$	−15.1055	+	7.27442i	−0.897929	+	0.432420i	−0.0727883	+	0.997347i	$0.523190\pi$
$284$	23.3500	−	4.93092i	1.38556	−	0.292596i
$285$	−5.86798	−	7.57474i	−0.347589	−	0.448689i
$286$	0.479899	+	0.235939i	0.0283770	+	0.0139514i
$287$	−1.16191	+	3.32055i	−0.0685854	+	0.196006i
$288$	−12.7975	+	11.1456i	−0.754101	+	0.656758i
$289$		−	8.81291i		−	0.518406i
$290$	3.16731	+	4.70831i	0.185991	+	0.276482i
$291$	−13.0124	−	10.6804i	−0.762799	−	0.626096i
$292$	13.1008	+	21.6236i	0.766669	+	1.26543i
$293$	−6.27147	+	17.9228i	−0.366383	+	1.04706i	0.602194	+	0.798350i	$0.294293\pi$
$293$	−6.27147	+	17.9228i	−0.366383	+	1.04706i	−0.968577	+	0.248713i	$0.919992\pi$
$294$	−6.88312	−	15.1453i	−0.401431	−	0.883289i
$295$	−6.79326	−	1.55052i	−0.395519	−	0.0902747i
$296$	−27.1911	+	5.51122i	−1.58045	+	0.320333i
$297$	−0.621442	+	14.6930i	−0.0360597	+	0.852572i
$298$	−2.45582	−	23.5152i	−0.142262	−	1.36220i
$299$	0.869781	+	0.693627i	0.0503007	+	0.0401135i
$300$	5.52441	−	14.3721i	0.318952	−	0.829776i
$301$	0.319309	−	2.83394i	0.0184047	−	0.163346i
$302$	5.04676	−	4.96525i	0.290408	−	0.285718i
$303$	−21.3125	−	0.300313i	−1.22437	−	0.0172525i
$304$	−16.6107	+	24.6184i	−0.952691	+	1.41196i
$305$	−4.98251	−	3.13072i	−0.285298	−	0.179264i
$306$	−7.90852	+	9.20994i	−0.452100	+	0.526497i
$307$	7.32204	+	7.32204i	0.417891	+	0.417891i	0.884476	−	0.466585i	$-0.154516\pi$
$307$	7.32204	+	7.32204i	0.417891	+	0.417891i	−0.466585	+	0.884476i	$0.654516\pi$
$308$	−0.331076	+	2.56263i	−0.0188648	+	0.146019i
$309$	−0.718755	−	0.262927i	−0.0408885	−	0.0149574i
$310$	−4.55309	−	3.69201i	−0.258598	−	0.209692i
$311$	−10.6526	+	1.20026i	−0.604053	+	0.0680604i	−0.408694	−	0.912671i	$-0.634016\pi$
$311$	−10.6526	+	1.20026i	−0.604053	+	0.0680604i	−0.195359	+	0.980732i	$0.562587\pi$
$312$	−0.170111	+	0.632047i	−0.00963065	+	0.0357826i
$313$	−0.352434	−	1.54412i	−0.0199208	−	0.0872786i	0.963990	−	0.265937i	$-0.0856814\pi$
$313$	−0.352434	−	1.54412i	−0.0199208	−	0.0872786i	−0.983911	+	0.178659i	$0.942824\pi$
$314$	1.74749	−	7.37883i	0.0986167	−	0.416412i
$315$	0.255000	−	0.988024i	0.0143676	−	0.0556688i
$316$	−14.1320	−	5.20478i	−0.794986	−	0.292792i
$317$	23.7567	−	14.9273i	1.33431	−	0.838403i	0.339545	−	0.940590i	$-0.389727\pi$
$317$	23.7567	−	14.9273i	1.33431	−	0.838403i	0.994765	+	0.102187i	$0.0325840\pi$
$318$	2.45870	+	2.05180i	0.137877	+	0.115059i
$319$	−2.30042	−	15.0664i	−0.128799	−	0.843558i
$320$	5.95369	+	0.291054i	0.332821	+	0.0162704i
$321$	3.14779	−	24.7925i	0.175693	−	1.38378i
$322$	−1.81665	+	5.05920i	−0.101238	+	0.281938i
$323$	−9.21739	+	19.1401i	−0.512869	+	1.06498i
$324$	−17.7931	+	2.72115i	−0.988507	+	0.151175i
$325$	−0.132146	−	0.578972i	−0.00733017	−	0.0321156i
$326$	11.8914	−	5.60781i	0.658606	−	0.310588i
$327$	5.87099	−	9.05777i	0.324666	−	0.500896i
$328$	−16.7048	−	14.0025i	−0.922368	−	0.773158i
$329$	−0.167825	+	0.0587245i	−0.00925250	+	0.00323759i
$330$	3.73279	−	3.57041i	0.205483	−	0.196544i
$331$	−8.42661	+	8.42661i	−0.463169	+	0.463169i	−0.899693	−	0.436524i	$-0.856209\pi$
$331$	−8.42661	+	8.42661i	−0.463169	+	0.463169i	0.436524	+	0.899693i	$0.356209\pi$
$332$	−3.23268	+	2.49296i	−0.177416	+	0.136819i
$333$	−27.4907	−	10.4979i	−1.50648	−	0.575279i
$334$	−13.7479	+	21.4893i	−0.752251	+	1.17584i
$335$	1.45951	−	1.16392i	0.0797413	−	0.0635916i
$336$	−3.15589	+	0.207149i	−0.172168	+	0.0113009i
$337$	1.03085	−	9.14906i	0.0561540	−	0.498381i	−0.933884	−	0.357577i	$-0.883603\pi$
$337$	1.03085	−	9.14906i	0.0561540	−	0.498381i	0.990038	−	0.140804i	$-0.0449686\pi$
$338$	−5.92249	−	17.3780i	−0.322141	−	0.945241i
$339$	4.27815	+	20.0414i	0.232357	+	1.08850i
$340$	4.24432	−	0.408357i	0.230181	−	0.0221463i
$341$	6.83119	+	14.1851i	0.369929	+	0.768167i
$342$	−28.8578	+	12.6276i	−1.56045	+	0.682822i
$343$	1.40094	−	6.13794i	0.0756439	−	0.331417i
$344$	15.7283	+	8.05331i	0.848013	+	0.434205i
$345$	9.17844	−	5.58839i	0.494151	−	0.300869i
$346$	15.6301	+	25.3307i	0.840281	+	1.36179i
$347$			7.14628i			0.383632i	0.981431	+	0.191816i	$0.0614377\pi$
$347$			7.14628i			0.383632i	−0.981431	+	0.191816i	$0.938562\pi$
$348$	17.5521	−	6.31849i	0.940892	−	0.338706i
$349$			7.77080i			0.415962i	0.978133	+	0.207981i	$0.0666892\pi$
$349$			7.77080i			0.415962i	−0.978133	+	0.207981i	$0.933311\pi$
$350$	2.44201	−	1.50683i	0.130531	−	0.0805434i
$351$	−0.511210	+	0.469721i	−0.0272864	+	0.0250719i
$352$	−14.1299	−	7.52772i	−0.753124	−	0.401229i
$353$	−2.22959	+	9.76847i	−0.118669	+	0.519923i	0.880295	+	0.474426i	$0.157344\pi$
$353$	−2.22959	+	9.76847i	−0.118669	+	0.519923i	−0.998964	+	0.0454973i	$0.985513\pi$
$354$	−10.3953	+	20.4124i	−0.552503	+	1.08491i
$355$	−3.85760	−	8.01040i	−0.204740	−	0.425148i
$356$	1.74936	+	18.1822i	0.0927158	+	0.963657i
$357$	−2.21251	+	0.472295i	−0.117098	+	0.0249965i
$358$	29.1137	−	9.92204i	1.53871	−	0.524396i
$359$	1.04483	−	9.27309i	0.0551438	−	0.489415i	−0.935539	−	0.353224i	$-0.885085\pi$
$359$	1.04483	−	9.27309i	0.0551438	−	0.489415i	0.990683	−	0.136191i	$-0.0434861\pi$
$360$	5.16904	+	3.64053i	0.272433	+	0.191873i
$361$	−28.2427	+	22.5228i	−1.48646	+	1.18541i
$362$	−4.47722	−	2.86433i	−0.235318	−	0.150546i
$363$	4.91187	−	1.64143i	0.257806	−	0.0861527i
$364$	−0.0965948	+	0.0744915i	−0.00506294	+	0.00390442i
$365$	6.66027	−	6.66027i	0.348615	−	0.348615i
$366$	−13.9796	+	13.3715i	−0.730727	+	0.698939i
$367$	−13.2986	+	4.65338i	−0.694181	+	0.242904i	−0.654228	−	0.756297i	$-0.727006\pi$
$367$	−13.2986	+	4.65338i	−0.694181	+	0.242904i	−0.0399525	+	0.999202i	$0.512721\pi$
$368$	−25.3500	−	21.6030i	−1.32146	−	1.12613i
$369$	−7.01798	−	22.0286i	−0.365341	−	1.14676i
$370$	4.40867	+	9.34863i	0.229196	+	0.486012i
$371$	0.132801	+	0.581837i	0.00689466	+	0.0302075i
$372$	−15.4244	+	11.5520i	−0.799716	+	0.598944i
$373$	−7.56339	+	15.7056i	−0.391618	+	0.813203i	0.608194	+	0.793789i	$0.291894\pi$
$373$	−7.56339	+	15.7056i	−0.391618	+	0.813203i	−0.999812	+	0.0194140i	$0.993820\pi$
$374$	−10.7786	−	3.87036i	−0.557346	−	0.200131i
$375$	−12.0920	−	1.53526i	−0.624426	−	0.0792805i
$376$	0.0269041	−	1.10133i	0.00138747	−	0.0567970i
$377$	0.426142	−	0.579723i	0.0219474	−	0.0298572i
$378$	−2.94515	−	1.60592i	−0.151482	−	0.0825997i
$379$	−19.9167	+	12.5145i	−1.02305	+	0.642827i	−0.935498	−	0.353333i	$-0.885048\pi$
$379$	−19.9167	+	12.5145i	−1.02305	+	0.642827i	−0.0875553	+	0.996160i	$0.527905\pi$
$380$	10.3823	+	3.82377i	0.532600	+	0.196155i
$381$	−24.3754	+	11.3183i	−1.24879	+	0.579854i
$382$	19.2415	+	4.55688i	0.984483	+	0.233150i
$383$	−2.36985	−	10.3830i	−0.121094	−	0.530546i	−0.998691	−	0.0511475i	$-0.983712\pi$
$383$	−2.36985	−	10.3830i	−0.121094	−	0.530546i	0.877598	−	0.479398i	$-0.159145\pi$
$384$	5.70628	−	18.7467i	0.291197	−	0.956663i
$385$	0.956589	−	0.107782i	0.0487523	−	0.00549306i
$386$	11.4915	−	14.1716i	0.584901	−	0.721317i
$387$	9.52027	+	16.1440i	0.483943	+	0.820646i
$388$	19.2783	+	2.49064i	0.978709	+	0.126443i
$389$	4.34922	+	4.34922i	0.220514	+	0.220514i	0.808715	−	0.588201i	$-0.200163\pi$
$389$	4.34922	+	4.34922i	0.220514	+	0.220514i	−0.588201	+	0.808715i	$0.700163\pi$
$390$	0.243788	+	0.00542061i	0.0123447	+	0.000274483i
$391$	−20.1732	−	12.6756i	−1.02020	−	0.641034i
$392$	16.0108	+	10.6143i	0.808666	+	0.536102i
$393$	−0.158455	+	11.2452i	−0.00799300	+	0.567244i
$394$	14.1514	+	14.3837i	0.712938	+	0.724642i
$395$	−0.628187	+	5.57531i	−0.0316075	+	0.280524i
$396$	−8.38650	−	14.7657i	−0.421437	−	0.742004i
$397$	15.7038	+	12.5233i	0.788149	+	0.628528i	0.932570	−	0.360988i	$-0.117561\pi$
$397$	15.7038	+	12.5233i	0.788149	+	0.628528i	−0.144421	+	0.989516i	$0.546132\pi$
$398$	21.2996	−	2.22444i	1.06765	−	0.111501i
$399$	−5.70421	−	1.38679i	−0.285568	−	0.0694262i
$400$	3.38980	+	17.4532i	0.169490	+	0.872658i
$401$	−3.31705	−	0.757095i	−0.165646	−	0.0378075i	0.138894	−	0.990307i	$-0.455645\pi$
$401$	−3.31705	−	0.757095i	−0.165646	−	0.0378075i	−0.304539	+	0.952500i	$0.598503\pi$
$402$	−2.53916	−	5.58704i	−0.126642	−	0.278656i
$403$	−0.245481	+	0.701545i	−0.0122283	+	0.0349464i
$404$	21.0500	−	12.7533i	1.04728	−	0.634502i
$405$	2.56462	+	6.19611i	0.127437	+	0.307887i
$406$	3.31566	+	1.04540i	0.164553	+	0.0518821i
$407$		−	27.7613i		−	1.37608i
$408$	2.10464	−	13.8586i	0.104195	−	0.686103i
$409$	1.04678	−	2.99152i	0.0517599	−	0.147921i	−0.915101	−	0.403224i	$-0.867889\pi$
$409$	1.04678	−	2.99152i	0.0517599	−	0.147921i	0.966861	+	0.255303i	$0.0821752\pi$
$410$	−3.58282	+	7.28744i	−0.176943	+	0.359901i
$411$	10.0276	−	7.76813i	0.494624	−	0.383174i
$412$	0.864664	−	0.182595i	0.0425990	−	0.00899582i
$413$	−3.84624	+	1.85225i	−0.189261	+	0.0911433i
$414$	−10.4491	−	33.7460i	−0.513547	−	1.65852i
$415$	1.18905	+	0.948238i	0.0583683	+	0.0465472i
$416$	−0.220386	−	0.722951i	−0.0108053	−	0.0354456i
$417$	19.5876	−	19.0433i	0.959211	−	0.932554i
$418$	−20.8411	−	21.1832i	−1.01937	−	1.03611i
$419$	17.6418	−	14.0689i	0.861860	−	0.687311i	−0.0893011	−	0.996005i	$-0.528463\pi$
$419$	17.6418	−	14.0689i	0.861860	−	0.687311i	0.951161	+	0.308694i	$0.0998919\pi$
$420$	0.355201	+	1.12344i	0.0173320	+	0.0548183i
$421$	31.0313	+	19.4982i	1.51237	+	0.950286i	0.995554	+	0.0941910i	$0.0300264\pi$
$421$	31.0313	+	19.4982i	1.51237	+	0.950286i	0.516818	+	0.856095i	$0.327116\pi$
$422$	−14.3283	−	18.2703i	−0.697492	−	0.889386i
$423$	0.649305	−	0.971480i	0.0315703	−	0.0472350i
$424$	−3.66331	−	0.503631i	−0.177906	−	0.0244585i
$425$	4.20050	+	12.0043i	0.203754	+	0.582296i
$426$	−28.6332	+	5.86889i	−1.38728	+	0.284349i
$427$	−3.58251	+	0.403652i	−0.173370	+	0.0195341i
$428$	12.0959	+	26.2003i	0.584679	+	1.26644i
$429$	−0.586024	−	0.292457i	−0.0282935	−	0.0141199i
$430$	1.51706	−	6.40583i	0.0731591	−	0.308916i
$431$	−3.11629	+	6.47104i	−0.150106	+	0.311699i	−0.962440	−	0.271494i	$-0.912482\pi$
$431$	−3.11629	+	6.47104i	−0.150106	+	0.311699i	0.812334	+	0.583193i	$0.198197\pi$
$432$	15.7546	−	13.5570i	0.757995	−	0.652261i
$433$	28.9658	−	18.2004i	1.39201	−	0.874656i	0.393015	−	0.919532i	$-0.371432\pi$
$433$	28.9658	−	18.2004i	1.39201	−	0.874656i	0.998993	+	0.0448760i	$0.0142893\pi$
$434$	−3.59123	−	0.0292377i	−0.172384	−	0.00140345i
$435$	−3.84478	−	5.78945i	−0.184343	−	0.277583i
$436$	−0.202935	+	12.4623i	−0.00971880	+	0.596834i
$437$	−32.8908	−	52.3454i	−1.57338	−	2.50402i
$438$	−15.8874	−	26.5784i	−0.759128	−	1.26996i
$439$	−3.43019	+	7.12285i	−0.163714	+	0.339955i	−0.966646	−	0.256115i	$-0.917558\pi$
$439$	−3.43019	+	7.12285i	−0.163714	+	0.339955i	0.802933	+	0.596070i	$0.203272\pi$
$440$	−1.46884	+	5.78082i	−0.0700243	+	0.275590i
$441$	8.31957	+	18.5989i	0.396170	+	0.885662i
$442$	−0.230602	−	0.488995i	−0.0109686	−	0.0232591i
$443$	23.7492	−	2.67589i	1.12836	−	0.127135i	0.472009	−	0.881593i	$-0.343529\pi$
$443$	23.7492	−	2.67589i	1.12836	−	0.127135i	0.656348	+	0.754458i	$0.272100\pi$
$444$	33.3417	−	6.55161i	1.58233	−	0.310926i
$445$	6.42319	−	2.24757i	0.304489	−	0.106545i
$446$	−1.15441	+	9.54649i	−0.0546630	+	0.452039i
$447$	2.83638	+	28.8175i	0.134156	+	1.36302i
$448$	2.96298	−	2.13482i	0.139988	−	0.100861i
$449$	7.64898	−	12.1733i	0.360977	−	0.574492i	−0.616023	−	0.787728i	$-0.711257\pi$
$449$	7.64898	−	12.1733i	0.360977	−	0.574492i	0.977001	+	0.213236i	$0.0684002\pi$
$450$	−6.87059	+	17.5617i	−0.323883	+	0.827864i
$451$	17.0524	−	13.5988i	0.802966	−	0.640344i
$452$	−16.4577	−	17.0026i	−0.774107	−	0.799735i
$453$	−6.21706	+	6.04428i	−0.292103	+	0.283985i
$454$	−2.59480	−	7.61380i	−0.121780	−	0.357333i
$455$	0.0355298	+	0.0283340i	0.00166566	+	0.00132832i
$456$	20.5229	−	30.0297i	0.961074	−	1.40627i
$457$	−5.99409	−	12.4468i	−0.280392	−	0.582239i	0.712444	−	0.701729i	$-0.247588\pi$
$457$	−5.99409	−	12.4468i	−0.280392	−	0.582239i	−0.992835	+	0.119490i	$0.961874\pi$
$458$	−3.89713	−	17.7389i	−0.182101	−	0.828886i
$459$	9.75285	−	11.2220i	0.455224	−	0.523799i
$460$	−5.56505	+	11.0903i	−0.259472	+	0.517089i
$461$	−32.9561	−	11.5318i	−1.53492	−	0.537091i	−0.575189	−	0.818021i	$-0.695072\pi$
$461$	−32.9561	−	11.5318i	−1.53492	−	0.537091i	−0.959728	+	0.280930i	$0.909357\pi$
$462$	0.424147	−	3.13610i	0.0197331	−	0.145905i
$463$			32.7218i			1.52071i	0.649506	+	0.760356i	$0.274976\pi$
$463$			32.7218i			1.52071i	−0.649506	+	0.760356i	$0.725024\pi$
$464$	−13.3164	+	16.9314i	−0.618198	+	0.786022i
$465$	5.54938	+	4.55486i	0.257346	+	0.211227i
$466$	−8.52385	−	13.8140i	−0.394860	−	0.639922i
$467$	−1.10202	+	3.14939i	−0.0509954	+	0.145736i	−0.966564	−	0.256425i	$-0.917455\pi$
$467$	−1.10202	+	3.14939i	−0.0509954	+	0.145736i	0.915569	+	0.402162i	$0.131741\pi$
$468$	0.212944	−	0.772843i	0.00984334	−	0.0357247i
$469$	0.254498	−	1.11503i	0.0117516	−	0.0514872i
$470$	−0.400864	+	0.0880674i	−0.0184905	+	0.00406225i
$471$	−2.19395	+	9.02430i	−0.101092	+	0.415818i
$472$	−2.31875	−	26.3488i	−0.106729	−	1.21280i
$473$	−11.0240	+	13.8237i	−0.506886	+	0.635615i
$474$	17.2699	+	6.47737i	0.793231	+	0.297516i
$475$	−3.69492	+	32.7933i	−0.169534	+	1.50466i
$476$	1.87703	−	1.81688i	0.0860337	−	0.0832767i
$477$	−2.99628	−	2.53080i	−0.137190	−	0.115877i
$478$	−11.2628	−	7.20544i	−0.515148	−	0.329569i
$479$	−4.19299	−	2.63463i	−0.191582	−	0.120379i	0.432825	−	0.901478i	$-0.357517\pi$
$479$	−4.19299	−	2.63463i	−0.191582	−	0.120379i	−0.624408	+	0.781099i	$0.714660\pi$
$480$	−7.28950	−	0.399837i	−0.332718	−	0.0182500i
$481$	0.926699	−	0.926699i	0.0422539	−	0.0422539i
$482$	−19.7670	−	2.39033i	−0.900363	−	0.108877i
$483$	2.26176	−	6.18288i	0.102914	−	0.281331i
$484$	−3.80413	+	4.61406i	−0.172915	+	0.209730i
$485$	−0.810828	−	7.19629i	−0.0368178	−	0.326767i
$486$	21.8115	−	3.20302i	0.989389	−	0.145292i
$487$	2.42847	+	10.6398i	0.110044	+	0.482136i	0.999676	+	0.0254572i	$0.00810415\pi$
$487$	2.42847	+	10.6398i	0.110044	+	0.482136i	−0.889631	+	0.456679i	$0.849039\pi$
$488$	5.50094	−	21.6497i	0.249016	−	0.980035i
$489$	−14.6046	+	6.78138i	−0.660442	+	0.306665i
$490$	2.41857	−	6.73546i	0.109260	−	0.304277i
$491$	−1.28267	+	0.805957i	−0.0578863	+	0.0363723i	−0.560664	−	0.828043i	$-0.689454\pi$
$491$	−1.28267	+	0.805957i	−0.0578863	+	0.0363723i	0.502778	+	0.864416i	$0.332311\pi$
$492$	20.3567	+	17.2709i	0.917752	+	0.778631i
$493$	−7.67874	+	13.3590i	−0.345833	+	0.601659i
$494$	0.0114209	−	1.40281i	0.000513851	−	0.0631156i
$495$	−4.59765	+	4.34556i	−0.206649	+	0.195319i
$496$	8.02929	−	20.7528i	0.360526	−	0.931827i
$497$	−4.90766	−	2.36341i	−0.220139	−	0.106013i
$498$	3.97730	−	3.02964i	0.178227	−	0.135761i
$499$	1.48783	+	6.51859i	0.0666042	+	0.291812i	0.997250	−	0.0741088i	$-0.0236112\pi$
$499$	1.48783	+	6.51859i	0.0666042	+	0.291812i	−0.930646	+	0.365921i	$0.880754\pi$
$500$	12.7786	−	5.89950i	0.571476	−	0.263833i
$501$	16.9939	−	26.2183i	0.759233	−	1.17135i
$502$	−1.36627	+	1.68493i	−0.0609798	+	0.0752020i
$503$	39.7316	−	13.9027i	1.77155	−	0.619891i	0.771676	−	0.636016i	$-0.219419\pi$
$503$	39.7316	−	13.9027i	1.77155	−	0.619891i	0.999870	+	0.0161252i	$0.00513303\pi$
$504$	3.86660	−	0.230707i	0.172232	−	0.0102765i
$505$	−6.48360	−	6.48360i	−0.288516	−	0.288516i
$506$	26.2245	−	20.5663i	1.16582	−	0.914283i
$507$	7.12680	+	21.3264i	0.316512	+	0.947141i
$508$	16.9360	−	26.0037i	0.751411	−	1.15373i
$509$	6.75399	+	8.46924i	0.299366	+	0.375393i	0.908650	−	0.417560i	$-0.137114\pi$
$509$	6.75399	+	8.46924i	0.299366	+	0.375393i	−0.609284	+	0.792952i	$0.708543\pi$
$510$	−5.20109	+	0.469201i	−0.230308	+	0.0207766i
$511$	0.646112	−	5.73440i	0.0285823	−	0.253675i
$512$	5.88981	+	21.8474i	0.260295	+	0.965529i
$513$	35.4348	−	15.2551i	1.56449	−	0.673528i
$514$	1.23638	+	11.8387i	0.0545346	+	0.522183i
$515$	−0.142850	−	0.296630i	−0.00629471	−	0.0130711i
$516$	−19.2041	−	9.97766i	−0.845415	−	0.439242i
$517$	1.07471	+	0.245296i	0.0472658	+	0.0107881i
$518$	5.68281	+	2.79392i	0.249688	+	0.122758i
$519$	−18.9580	−	31.1370i	−0.832166	−	1.36676i
$520$	−0.242001	+	0.143938i	−0.0106124	+	0.00631211i
$521$	4.19861			0.183944			0.0919721	−	0.995762i	$-0.470683\pi$
$521$	4.19861			0.183944			0.0919721	+	0.995762i	$0.470683\pi$
$522$	−21.5425	+	7.61052i	−0.942890	+	0.333103i
$523$			27.0165i			1.18135i	0.806910	+	0.590675i	$0.201138\pi$
$523$			27.0165i			1.18135i	−0.806910	+	0.590675i	$0.798862\pi$
$524$	−6.72908	−	11.1067i	−0.293961	−	0.485198i
$525$	−3.00177	+	1.82766i	−0.131008	+	0.0797655i
$526$	−6.12792	+	12.4642i	−0.267190	+	0.543463i
$527$	3.54195	−	15.5183i	0.154290	−	0.675988i
$528$	17.2503	+	9.32232i	0.750724	+	0.405702i
$529$	41.7437	−	20.1027i	1.81494	−	0.874031i
$530$	0.143093	+	1.37015i	0.00621554	+	0.0595155i
$531$	12.8801	−	24.9238i	0.558947	−	1.08160i
$532$	6.43373	−	2.13433i	0.278938	−	0.0925350i
$533$	1.02317	+	0.115283i	0.0443183	+	0.00499348i
$534$	−2.01001	−	22.2810i	−0.0869817	−	0.964192i
$535$	8.40543	−	6.70311i	0.363398	−	0.289801i
$536$	5.90633	+	3.91558i	0.255115	+	0.169127i
$537$	−35.7286	+	11.9396i	−1.54180	+	0.515234i
$538$	0.546796	−	0.428819i	0.0235740	−	0.0184877i
$539$	−13.5917	+	13.5917i	−0.585436	+	0.585436i
$540$	−6.30412	−	4.49630i	−0.271286	−	0.193490i
$541$	−8.87061	−	25.3507i	−0.381377	−	1.08991i	−0.961362	−	0.275287i	$-0.911227\pi$
$541$	−8.87061	−	25.3507i	−0.381377	−	1.08991i	0.579985	−	0.814627i	$-0.303058\pi$
$542$	−31.7253	−	25.7254i	−1.36272	−	1.10500i
$543$	5.46249	+	3.54063i	0.234418	+	0.151943i
$544$	6.42357	+	14.8568i	0.275408	+	0.636980i
$545$	4.52701	−	1.03326i	0.193916	−	0.0442600i
$546$	0.118845	−	0.0905277i	0.00508608	−	0.00387423i
$547$	−7.91845	+	16.4428i	−0.338569	+	0.703045i	−0.998849	−	0.0479747i	$-0.984723\pi$
$547$	−7.91845	+	16.4428i	−0.338569	+	0.703045i	0.660280	+	0.751019i	$0.270438\pi$
$548$	−5.06197	+	13.7443i	−0.216237	+	0.587125i
$549$	17.2186	−	16.2745i	0.734872	−	0.694580i
$550$	−17.7898	−	0.144834i	−0.758560	−	0.00617576i
$551$	−32.9918	+	22.5861i	−1.40550	+	0.962200i
$552$	30.8894	+	26.6424i	1.31474	+	1.13397i
$553$	1.82880	+	2.91052i	0.0777686	+	0.123768i
$554$	8.23123	−	22.9231i	0.349712	−	0.973911i
$555$	−5.33129	−	11.4816i	−0.226300	−	0.487367i
$556$	−7.51926	+	30.6359i	−0.318888	+	1.29925i
$557$	−18.7121	+	4.27092i	−0.792859	+	0.180965i	−0.599724	−	0.800207i	$-0.704723\pi$
$557$	−18.7121	+	4.27092i	−0.792859	+	0.180965i	−0.193135	+	0.981172i	$0.561866\pi$
$558$	18.9748	−	14.0356i	0.803265	−	0.594176i
$559$	−0.829442	+	0.0934557i	−0.0350817	+	0.00395276i
$560$	−1.03552	−	0.882462i	−0.0437589	−	0.0372908i
$561$	13.1725	+	4.81865i	0.556145	+	0.203443i
$562$	17.1981	+	2.07969i	0.725459	+	0.0877264i
$563$	−20.2982	−	20.2982i	−0.855468	−	0.855468i	0.135332	−	0.990800i	$-0.456790\pi$
$563$	−20.2982	−	20.2982i	−0.855468	−	0.855468i	−0.990800	+	0.135332i	$0.956790\pi$
$564$	−0.0409740	+	1.34863i	−0.00172532	+	0.0567877i
$565$	−4.69024	+	7.46448i	−0.197320	+	0.314033i
$566$	−12.7778	+	19.9729i	−0.537089	+	0.839522i
$567$	3.59529	+	1.98827i	0.150988	+	0.0834994i
$568$	24.4406	−	23.2750i	1.02551	−	0.976597i
$569$	38.9347	+	4.38689i	1.63223	+	0.183908i	0.879993	−	0.474987i	$-0.157547\pi$
$569$	38.9347	+	4.38689i	1.63223	+	0.183908i	0.752235	+	0.658895i	$0.228976\pi$
$570$	−12.6876	−	4.75870i	−0.531424	−	0.199320i
$571$	6.62033	+	5.27954i	0.277052	+	0.220942i	0.752151	−	0.658991i	$-0.229016\pi$
$571$	6.62033	+	5.27954i	0.277052	+	0.220942i	−0.475099	+	0.879932i	$0.657588\pi$
$572$	0.752791	−	0.0724279i	0.0314758	−	0.00302836i
$573$	−23.5324	−	5.72110i	−0.983079	−	0.239002i
$574$	1.06755	+	4.85927i	0.0445587	+	0.202822i
$575$	−36.0823	−	8.23555i	−1.50474	−	0.343446i
$576$	−7.12519	+	22.9179i	−0.296883	+	0.954914i
$577$	20.2368	+	7.08117i	0.842470	+	0.294793i	0.716800	−	0.697279i	$-0.245606\pi$
$577$	20.2368	+	7.08117i	0.842470	+	0.294793i	0.125670	+	0.992072i	$0.459892\pi$
$578$	−6.54476	−	10.6066i	−0.272226	−	0.441178i
$579$	−14.1771	+	17.2726i	−0.589182	+	0.717825i
$580$	7.30852	+	3.31446i	0.303470	+	0.137626i
$581$	0.931770			0.0386563
$582$	−23.5925	−	3.19080i	−0.977940	−	0.132263i
$583$	1.22206	−	3.49243i	0.0506124	−	0.144642i
$584$	31.8257	+	16.2956i	1.31696	+	0.674318i
$585$	−0.298533	−	0.00841490i	−0.0123428	−	0.000347913i
$586$	5.76216	+	26.2281i	0.238033	+	1.08347i
$587$	31.7599	−	15.2948i	1.31087	−	0.631282i	0.357734	−	0.933823i	$-0.383549\pi$
$587$	31.7599	−	15.2948i	1.31087	−	0.631282i	0.953136	+	0.302541i	$0.0978351\pi$
$588$	−19.5314	−	13.1162i	−0.805463	−	0.540903i
$589$	25.7517	−	32.2916i	1.06108	−	1.33055i
$590$	−9.32739	+	3.17880i	−0.384003	+	0.130869i
$591$	−17.2268	−	17.7192i	−0.708615	−	0.728870i
$592$	−28.6326	+	26.8260i	−1.17679	+	1.10254i
$593$	20.4953	+	25.7003i	0.841642	+	1.05539i	0.997710	+	0.0676391i	$0.0215466\pi$
$593$	20.4953	+	25.7003i	0.841642	+	1.05539i	−0.156068	+	0.987746i	$0.549882\pi$
$594$	10.1636	+	18.1450i	0.417016	+	0.744498i
$595$	−0.824055	−	0.517788i	−0.0337829	−	0.0212272i
$596$	−20.4188	−	26.4775i	−0.836388	−	1.08456i
$597$	−26.1023	+	2.56914i	−1.06830	+	0.105148i
$598$	1.56192	+	0.188876i	0.0638718	+	0.00772371i
$599$	−2.92450	−	8.35775i	−0.119492	−	0.341488i	0.868566	−	0.495574i	$-0.165042\pi$
$599$	−2.92450	−	8.35775i	−0.119492	−	0.341488i	−0.988057	+	0.154086i	$0.950757\pi$
$600$	−4.02441	−	21.4000i	−0.164296	−	0.873651i
$601$	4.09167	+	36.3146i	0.166903	+	1.48130i	0.745946	+	0.666006i	$0.231998\pi$
$601$	4.09167	+	36.3146i	0.166903	+	1.48130i	−0.579043	+	0.815297i	$0.696574\pi$
$602$	−1.72028	−	3.64788i	−0.0701135	−	0.148676i
$603$	3.06907	+	6.86108i	0.124982	+	0.279405i
$604$	2.38659	−	9.72374i	0.0971090	−	0.395653i
$605$	2.00724	+	0.966634i	0.0816058	+	0.0392993i
$606$	−25.8733	+	15.4659i	−1.05103	+	0.628261i
$607$	−6.77749	+	4.25858i	−0.275090	+	0.172850i	−0.662510	−	0.749053i	$-0.730509\pi$
$607$	−6.77749	+	4.25858i	−0.275090	+	0.172850i	0.387421	+	0.921903i	$0.373366\pi$
$608$	−1.70917	+	41.9648i	−0.0693160	+	1.70190i
$609$	−4.05314	−	1.30448i	−0.164242	−	0.0528601i
$610$	−8.32160	−	0.0677497i	−0.336932	−	0.00274310i
$611$	0.0276867	+	0.0440632i	0.00112008	+	0.00178260i
$612$	−2.67857	+	16.9576i	−0.108275	+	0.685471i
$613$	11.0758	+	5.33380i	0.447345	+	0.215430i	0.643973	−	0.765048i	$-0.277285\pi$
$613$	11.0758	+	5.33380i	0.447345	+	0.215430i	−0.196628	+	0.980478i	$0.562999\pi$
$614$	14.2499	+	3.37474i	0.575080	+	0.136193i
$615$	4.44106	−	8.89899i	0.179081	−	0.358842i
$616$	1.50463	+	3.33008i	0.0606234	+	0.134173i
$617$	1.99707	+	17.7245i	0.0803990	+	0.713561i	0.967654	+	0.252281i	$0.0811808\pi$
$617$	1.99707	+	17.7245i	0.0803990	+	0.713561i	−0.887255	+	0.461279i	$0.847391\pi$
$618$	−1.06030	+	0.217329i	−0.0426517	+	0.00874225i
$619$	19.0595	−	6.66919i	0.766064	−	0.268058i	0.0811704	−	0.996700i	$-0.474134\pi$
$619$	19.0595	−	6.66919i	0.766064	−	0.268058i	0.684894	+	0.728643i	$0.259849\pi$
$620$	−8.22161	−	1.06218i	−0.330188	−	0.0426583i
$621$	12.5514	+	41.4056i	0.503672	+	1.66155i
$622$	−11.9294	+	9.35552i	−0.478326	+	0.375122i
$623$	2.21815	−	3.53017i	0.0888683	−	0.141433i
$624$	0.264644	+	0.887021i	0.0105943	+	0.0355093i
$625$	10.5872	+	13.2760i	0.423490	+	0.531039i
$626$	−1.57088	−	1.59667i	−0.0627849	−	0.0638157i
$627$	25.3702	+	26.0954i	1.01319	+	1.04215i
$628$	−3.37660	−	10.1784i	−0.134741	−	0.406164i
$629$	−17.4992	+	21.9433i	−0.697739	+	0.874937i
$630$	−0.426838	−	1.37849i	−0.0170056	−	0.0549205i
$631$	14.7333	+	30.5941i	0.586525	+	1.21793i	0.957270	+	0.289197i	$0.0933882\pi$
$631$	14.7333	+	30.5941i	0.586525	+	1.21793i	−0.370745	+	0.928735i	$0.620898\pi$
$632$	−20.8736	+	4.23076i	−0.830306	+	0.168290i
$633$	17.4151	+	22.4805i	0.692189	+	0.893519i
$634$	17.5065	−	35.6081i	0.695272	−	1.41418i
$635$	−10.9124	−	3.81841i	−0.433045	−	0.151529i
$636$	4.48287	+	0.643498i	0.177757	+	0.0255164i
$637$	−0.907409			−0.0359528
$638$	−13.9575	−	16.4246i	−0.552581	−	0.650256i
$639$	35.1105	−	6.97916i	1.38895	−	0.276091i
$640$	7.38161	−	4.07111i	0.291784	−	0.160925i
$641$	−25.9559	−	9.08235i	−1.02519	−	0.358731i	−0.235267	−	0.971931i	$-0.575596\pi$
$641$	−25.9559	−	9.08235i	−1.02519	−	0.358731i	−0.789928	+	0.613200i	$0.789882\pi$
$642$	−14.6233	−	32.1763i	−0.577134	−	1.26990i
$643$	4.51644	−	19.7878i	0.178111	−	0.780355i	−0.804391	−	0.594101i	$-0.797508\pi$
$643$	4.51644	−	19.7878i	0.178111	−	0.780355i	0.982502	−	0.186254i	$-0.0596348\pi$
$644$	1.57072	+	7.43803i	0.0618952	+	0.293099i
$645$	−1.90465	+	7.83431i	−0.0749955	+	0.308476i
$646$	3.12063	+	29.8809i	0.122780	+	1.17565i
$647$	−13.0173	+	16.3232i	−0.511764	+	0.641731i	−0.968837	−	0.247697i	$-0.920326\pi$
$647$	−13.0173	+	16.3232i	−0.511764	+	0.641731i	0.457074	+	0.889429i	$0.348898\pi$
$648$	−19.3938	+	16.4888i	−0.761861	+	0.647740i
$649$	26.3007	+	2.96338i	1.03239	+	0.116323i
$650$	−0.589007	−	0.598676i	−0.0231027	−	0.0234820i
$651$	4.39804	+	0.0619725i	0.172373	+	0.00242889i
$652$	10.1472	−	15.5802i	0.397395	−	0.610167i
$653$	9.60805	−	15.2911i	0.375992	−	0.598388i	−0.604106	−	0.796904i	$-0.706469\pi$
$653$	9.60805	−	15.2911i	0.375992	−	0.598388i	0.980098	+	0.198516i	$0.0636123\pi$
$654$	0.339334	−	15.2613i	0.0132690	−	0.596765i
$655$	−3.42096	+	3.42096i	−0.133668	+	0.133668i
$656$	−30.5035	−	4.44694i	−1.19096	−	0.173624i
$657$	19.2640	+	32.6669i	0.751560	+	1.27446i
$658$	−0.158373	+	0.195310i	−0.00617400	+	0.00761396i
$659$	2.70876	+	24.0409i	0.105518	+	0.936502i	0.929232	+	0.369496i	$0.120470\pi$
$659$	2.70876	+	24.0409i	0.105518	+	0.936502i	−0.823714	+	0.567006i	$0.808102\pi$
$660$	1.84104	−	7.06921i	0.0716625	−	0.275168i
$661$	−0.759405	+	0.173329i	−0.0295374	+	0.00674173i	−0.237264	−	0.971445i	$-0.576251\pi$
$661$	−0.759405	+	0.173329i	−0.0295374	+	0.00674173i	0.207727	+	0.978187i	$0.433394\pi$
$662$	−3.88384	+	16.3996i	−0.150950	+	0.637389i
$663$	0.278861	+	0.600564i	0.0108301	+	0.0233240i
$664$	−2.03929	+	5.40106i	−0.0791396	+	0.209602i
$665$	−1.34356	−	2.13826i	−0.0521010	−	0.0829182i
$666$	−40.8821	+	7.78100i	−1.58415	+	0.301508i
$667$	−21.0282	−	39.6036i	−0.814216	−	1.53346i
$668$	−0.587406	+	36.0727i	−0.0227274	+	1.39570i
$669$	1.48339	−	11.6834i	0.0573511	−	0.451706i
$670$	0.892202	−	2.48469i	0.0344688	−	0.0959920i
$671$	20.1380	+	9.69797i	0.777421	+	0.374386i
$672$	−3.64439	+	2.59298i	−0.140585	+	0.100026i
$673$	−34.7449	+	7.93029i	−1.33932	+	0.305690i	−0.831380	−	0.555704i	$-0.812449\pi$
$673$	−34.7449	+	7.93029i	−1.33932	+	0.305690i	−0.507937	+	0.861394i	$0.669592\pi$
$674$	−5.55373	−	11.7768i	−0.213922	−	0.453623i
$675$	8.54252	−	21.4581i	0.328802	−	0.825923i
$676$	−20.0334	−	16.5168i	−0.770517	−	0.635263i
$677$	−7.50082	−	21.4361i	−0.288280	−	0.823857i	−0.993393	−	0.114762i	$-0.963389\pi$
$677$	−7.50082	−	21.4361i	−0.288280	−	0.823857i	0.705113	−	0.709095i	$-0.250896\pi$
$678$	20.0323	+	20.9434i	0.769336	+	0.804326i
$679$	−3.13728	−	3.13728i	−0.120398	−	0.120398i
$680$	4.80493	−	3.64345i	0.184261	−	0.139720i
$681$	3.12245	+	9.34370i	0.119652	+	0.358052i
$682$	18.7559	+	11.9992i	0.718201	+	0.459473i
$683$	−10.0219	−	12.5671i	−0.383478	−	0.480866i	0.552205	−	0.833708i	$-0.313787\pi$
$683$	−10.0219	−	12.5671i	−0.383478	−	0.480866i	−0.935683	+	0.352842i	$0.885215\pi$
$684$	−25.3537	+	36.6285i	−0.969422	+	1.40053i
$685$	5.42234	+	0.610951i	0.207177	+	0.0233432i
$686$	−2.87215	−	8.42761i	−0.109659	−	0.321768i
$687$	4.64367	+	21.7537i	0.177167	+	0.829955i
$688$	24.9102	−	1.98792i	0.949692	−	0.0757888i
$689$	0.157374	−	0.0757875i	0.00599548	−	0.00288727i
$690$	6.89645	−	13.5420i	0.262543	−	0.515536i
$691$	−47.3200	−	10.8005i	−1.80014	−	0.410870i	−0.814558	−	0.580082i	$-0.803021\pi$
$691$	−47.3200	−	10.8005i	−1.80014	−	0.410870i	−0.985580	+	0.169212i	$0.945878\pi$
$692$	37.6228	+	18.8789i	1.43021	+	0.717668i
$693$	−0.542312	+	3.83777i	−0.0206007	+	0.145785i
$694$	5.30706	+	8.60079i	0.201453	+	0.326482i
$695$	11.7521			0.445784
$696$	16.4323	−	20.6393i	0.622863	−	0.782331i
$697$	−22.0506			−0.835228
$698$	5.77086	+	9.35243i	0.218430	+	0.353995i
$699$	10.3387	+	16.9805i	0.391046	+	0.642260i
$700$	1.82003	−	3.62704i	0.0687906	−	0.137089i
$701$	20.4679	+	4.67166i	0.773061	+	0.176446i	0.590815	−	0.806807i	$-0.298806\pi$
$701$	20.4679	+	4.67166i	0.773061	+	0.176446i	0.182246	+	0.983253i	$0.441663\pi$
$702$	−0.266428	+	0.944968i	−0.0100557	+	0.0356655i
$703$	−65.6150	+	31.5985i	−2.47472	+	1.19176i
$704$	−22.5961	+	1.43343i	−0.851623	+	0.0540245i
$705$	0.491589	−	0.104938i	0.0185143	−	0.00395218i
$706$	4.57101	+	13.4125i	0.172032	+	0.504785i
$707$	−5.58229	−	0.628973i	−0.209944	−	0.0236550i
$708$	2.64786	+	32.2869i	0.0995128	+	1.21342i
$709$	23.4668	+	29.4264i	0.881313	+	1.10513i	0.993767	+	0.111475i	$0.0355574\pi$
$709$	23.4668	+	29.4264i	0.881313	+	1.10513i	−0.112454	+	0.993657i	$0.535871\pi$
$710$	−10.5915	−	6.77600i	−0.397494	−	0.254299i
$711$	−21.1036	−	8.05881i	−0.791447	−	0.302229i
$712$	15.6082	+	20.5838i	0.584940	+	0.771412i
$713$	32.7536	+	32.7536i	1.22663	+	1.22663i
$714$	−2.31208	+	2.21150i	−0.0865276	+	0.0827634i
$715$	−0.0930552	−	0.265937i	−0.00348007	−	0.00994547i
$716$	27.6709	−	33.5624i	1.03411	−	1.25428i
$717$	13.7413	+	8.90672i	0.513179	+	0.332628i
$718$	−5.62902	−	11.9364i	−0.210073	−	0.445463i
$719$	2.56457	−	0.585346i	0.0956422	−	0.0218297i	−0.174432	−	0.984669i	$-0.555809\pi$
$719$	2.56457	−	0.585346i	0.0956422	−	0.0218297i	0.270074	+	0.962840i	$0.412952\pi$
$720$	8.92470	+	0.542799i	0.332604	+	0.0202289i
$721$	−0.181734	−	0.0875185i	−0.00676813	−	0.00325936i
$722$	−17.2649	+	48.0810i	−0.642533	+	1.78939i
$723$	24.1917	+	3.07151i	0.899699	+	0.114231i
$724$	−7.51564	−	0.122384i	−0.279317	−	0.00454837i
$725$	−4.40496	+	23.5273i	−0.163596	+	0.873782i
$726$	4.69262	−	5.62323i	0.174159	−	0.208698i
$727$	27.4040	+	43.6132i	1.01636	+	1.61753i	0.758868	+	0.651244i	$0.225753\pi$
$727$	27.4040	+	43.6132i	1.01636	+	1.61753i	0.257490	+	0.966281i	$0.417104\pi$
$728$	−0.0609353	+	0.161388i	−0.00225841	+	0.00598142i
$729$	−26.7364	+	3.76391i	−0.990236	+	0.139404i
$730$	3.06973	−	12.9620i	0.113616	−	0.479745i
$731$	17.4274	−	3.97769i	0.644576	−	0.147120i
$732$	−6.89486	+	26.4748i	−0.254841	+	0.978536i
$733$	−4.46190	−	39.6004i	−0.164804	−	1.46268i	−0.755164	−	0.655536i	$-0.772443\pi$
$733$	−4.46190	−	39.6004i	−0.164804	−	1.46268i	0.590360	−	0.807140i	$-0.298986\pi$
$734$	−12.5496	+	15.4765i	−0.463213	+	0.571247i
$735$	−3.01115	+	8.23145i	−0.111068	+	0.303622i
$736$	−46.5527	−	7.17419i	−1.71596	−	0.264444i
$737$	−5.01394	+	5.01394i	−0.184691	+	0.184691i
$738$	−24.8055	−	21.3003i	−0.913104	−	0.784077i
$739$	−1.23450	+	1.96470i	−0.0454119	+	0.0722727i	−0.868659	−	0.495411i	$-0.835017\pi$
$739$	−1.23450	+	1.96470i	−0.0454119	+	0.0722727i	0.823247	+	0.567684i	$0.192160\pi$
$740$	12.2486	+	7.97738i	0.450267	+	0.293254i
$741$	−0.0242079	+	1.71798i	−0.000889299	+	0.0631114i
$742$	0.591922	+	0.601639i	0.0217301	+	0.0220869i
$743$	−0.863373	−	0.0972788i	−0.0316741	−	0.00356881i	0.0961132	−	0.995370i	$-0.469359\pi$
$743$	−0.863373	−	0.0972788i	−0.0316741	−	0.00356881i	−0.127787	+	0.991802i	$0.540787\pi$
$744$	−9.98485	+	25.3579i	−0.366063	+	0.929666i
$745$	−7.76663	+	9.73904i	−0.284547	+	0.356811i
$746$	2.56066	+	24.5190i	0.0937524	+	0.897705i
$747$	−4.89317	+	3.68149i	−0.179032	+	0.134699i
$748$	−15.8466	+	3.34640i	−0.579410	+	0.122357i
$749$	1.46568	−	6.42155i	0.0535547	−	0.234638i
$750$	−15.6932	+	7.13215i	−0.573035	+	0.260429i
$751$	39.5080	+	13.8244i	1.44167	+	0.504461i	0.934056	−	0.357126i	$-0.116243\pi$
$751$	39.5080	+	13.8244i	1.44167	+	0.504461i	0.507610	+	0.861587i	$0.330529\pi$
$752$	−0.785508	−	1.34547i	−0.0286445	−	0.0490644i
$753$	1.68558	−	2.05362i	0.0614261	−	0.0748380i
$754$	0.0823556	−	1.01418i	0.00299921	−	0.0369344i
$755$	−3.73009			−0.135752
$756$	−4.73720	+	0.254382i	−0.172290	+	0.00925177i
$757$	−42.9730	−	15.0369i	−1.56188	−	0.546526i	−0.595436	−	0.803403i	$-0.703021\pi$
$757$	−42.9730	−	15.0369i	−1.56188	−	0.546526i	−0.966444	+	0.256877i	$0.917306\pi$
$758$	−14.6768	+	29.8525i	−0.533084	+	1.08429i
$759$	−32.2676	+	24.9970i	−1.17124	+	0.907332i
$760$	15.3351	−	3.10819i	0.556263	−	0.112746i
$761$	8.39198	+	17.4261i	0.304209	+	0.631696i	0.995896	−	0.0905006i	$-0.0288467\pi$
$761$	8.39198	+	17.4261i	0.304209	+	0.631696i	−0.691687	+	0.722197i	$0.743132\pi$
$762$	−20.9313	+	31.7240i	−0.758261	+	1.14924i
$763$	1.77373	−	2.22419i	0.0642135	−	0.0805212i
$764$	26.5420	−	8.80505i	0.960254	−	0.318556i
$765$	6.37332	−	0.536748i	0.230428	−	0.0194062i
$766$	−10.5629	−	10.7364i	−0.381655	−	0.387920i
$767$	0.779024	+	0.976865i	0.0281289	+	0.0352726i
$768$	−7.05421	−	26.8000i	−0.254547	−	0.967060i
$769$	13.8791	−	22.0885i	0.500494	−	0.796531i	−0.496966	−	0.867770i	$-0.665552\pi$
$769$	13.8791	−	22.0885i	0.500494	−	0.796531i	0.997459	+	0.0712392i	$0.0226954\pi$
$770$	1.07125	−	0.840114i	0.0386050	−	0.0302756i
$771$	−1.42798	−	14.5082i	−0.0514273	−	0.522498i
$772$	3.30607	−	25.5900i	0.118988	−	0.921004i
$773$	6.08419	−	2.12895i	0.218833	−	0.0765730i	−0.218636	−	0.975806i	$-0.570161\pi$
$773$	6.08419	−	2.12895i	0.218833	−	0.0765730i	0.437469	+	0.899234i	$0.355875\pi$
$774$	23.4470	+	12.3598i	0.842787	+	0.444263i
$775$	−2.76849	−	24.5710i	−0.0994469	−	0.882616i
$776$	25.0518	−	11.3192i	0.899306	−	0.406334i
$777$	−6.93951	−	3.46318i	−0.248954	−	0.124241i
$778$	8.46432	+	2.00456i	0.303460	+	0.0718670i
$779$	−51.5509	−	24.8256i	−1.84700	−	0.889469i
$780$	0.297433	−	0.174521i	0.0106498	−	0.00624886i
$781$	17.9673	+	28.5948i	0.642921	+	1.02320i
$782$	−33.6924	−	0.274304i	−1.20484	−	0.00980911i
$783$	26.4391	−	9.16383i	0.944855	−	0.327488i
$784$	27.1521	+	0.884519i	0.969716	+	0.0315900i
$785$	−3.38282	+	2.12557i	−0.120738	+	0.0758647i
$786$	8.16034	+	13.6516i	0.291070	+	0.486938i
$787$	−41.1867	−	19.8345i	−1.46815	−	0.707023i	−0.482510	−	0.875890i	$-0.660275\pi$
$787$	−41.1867	−	19.8345i	−1.46815	−	0.707023i	−0.985639	+	0.168867i	$0.945989\pi$
$788$	27.7136	+	6.80201i	0.987255	+	0.242311i
$789$	7.59582	−	15.2205i	0.270418	−	0.541864i
$790$	3.38437	+	7.17659i	0.120410	+	0.255332i
$791$	0.604725	+	5.36709i	0.0215016	+	0.190832i
$792$	−21.0589	−	11.5429i	−0.748297	−	0.410160i
$793$	0.348500	+	0.995956i	0.0123756	+	0.0353674i
$794$	28.2003	+	3.41013i	1.00079	+	0.121021i
$795$	−0.165266	−	1.67910i	−0.00586139	−	0.0595514i
$796$	23.9828	−	18.4950i	0.850049	−	0.655537i
$797$	−17.3989	−	10.9324i	−0.616300	−	0.387247i	0.187398	−	0.982284i	$-0.439995\pi$
$797$	−17.3989	−	10.9324i	−0.616300	−	0.387247i	−0.803698	+	0.595037i	$0.797137\pi$
$798$	−7.89509	+	2.56709i	−0.279483	+	0.0908741i
$799$	−0.694861	−	0.871328i	−0.0245824	−	0.0308254i
$800$	17.0410	+	18.4881i	0.602492	+	0.653653i
$801$	2.29938	+	27.3027i	0.0812444	+	0.964692i
$802$	−4.55443	+	1.55216i	−0.160823	+	0.0548088i
$803$	−22.3068	+	27.9719i	−0.787191	+	0.987106i
$804$	−7.20510	−	4.83853i	−0.254104	−	0.170642i
$805$	2.55168	−	1.22882i	0.0899348	−	0.0433103i
$806$	0.225546	+	1.02664i	0.00794450	+	0.0361617i
$807$	−0.672798	+	0.521201i	−0.0236836	+	0.0183472i
$808$	15.8634	−	30.9815i	0.558071	−	1.08993i
$809$	−6.75149	+	19.2947i	−0.237370	+	0.678364i	0.762151	+	0.647400i	$0.224143\pi$
$809$	−6.75149	+	19.2947i	−0.237370	+	0.678364i	−0.999520	+	0.0309642i	$0.990142\pi$
$810$	7.68805	+	5.55265i	0.270131	+	0.195100i
$811$	21.0083			0.737702			0.368851	−	0.929488i	$-0.379751\pi$
$811$	21.0083			0.737702			0.368851	+	0.929488i	$0.379751\pi$
$812$	4.76685	−	1.20415i	0.167284	−	0.0422572i
$813$	38.6673	+	31.7376i	1.35612	+	1.11309i
$814$	−20.6165	−	33.4117i	−0.722606	−	1.17108i
$815$	−6.53818	−	2.28781i	−0.229023	−	0.0801384i
$816$	−7.75885	−	18.2423i	−0.271614	−	0.638607i
$817$	45.2208	+	10.3213i	1.58207	+	0.361098i
$818$	−0.961770	−	4.37777i	−0.0336275	−	0.153065i
$819$	−0.146211	+	0.110006i	−0.00510904	+	0.00384390i
$820$	1.09984	+	11.4314i	0.0384082	+	0.399202i
$821$	31.6072	+	25.2059i	1.10310	+	0.879692i	0.993449	−	0.114278i	$-0.0364555\pi$
$821$	31.6072	+	25.2059i	1.10310	+	0.879692i	0.109650	+	0.993970i	$0.465027\pi$
$822$	6.29965	−	16.7960i	0.219726	−	0.585829i
$823$	−37.9071	−	4.27110i	−1.32136	−	0.148881i	−0.577045	−	0.816712i	$-0.695794\pi$
$823$	−37.9071	−	4.27110i	−1.32136	−	0.148881i	−0.744313	+	0.667831i	$0.767223\pi$
$824$	0.905052	−	0.861888i	0.0315290	−	0.0300253i
$825$	21.7865	+	0.306992i	0.758509	+	0.0106881i
$826$	−3.25354	+	5.08559i	−0.113205	+	0.176950i
$827$	−17.7133	+	28.1905i	−0.615951	+	0.980281i	0.382462	+	0.923971i	$0.375076\pi$
$827$	−17.7133	+	28.1905i	−0.615951	+	0.980281i	−0.998413	+	0.0563094i	$0.982067\pi$
$828$	−37.6368	−	32.8546i	−1.30797	−	1.14178i
$829$	−34.9295	−	34.9295i	−1.21315	−	1.21315i	−0.969984	−	0.243168i	$-0.921813\pi$
$829$	−34.9295	−	34.9295i	−1.21315	−	1.21315i	−0.243168	−	0.969984i	$-0.578187\pi$
$830$	2.13526	+	0.258207i	0.0741159	+	0.00896249i
$831$	−10.2480	+	28.0145i	−0.355499	+	0.971814i
$832$	−0.802130	−	0.706431i	−0.0278088	−	0.0244911i
$833$	19.3107	−	2.17580i	0.669077	−	0.0753868i
$834$	9.43222	−	37.4657i	0.326611	−	1.29733i
$835$	13.1037	−	2.99083i	0.453472	−	0.103502i
$836$	−40.8144	−	10.0175i	−1.41159	−	0.346461i
$837$	−23.3411	+	17.0515i	−0.806786	+	0.589387i
$838$	10.7845	−	30.0338i	0.372545	−	1.03750i
$839$	−18.9607	−	30.1758i	−0.654596	−	1.04178i	−0.994841	−	0.101446i	$-0.967653\pi$
$839$	−18.9607	−	30.1758i	−0.654596	−	1.04178i	0.340245	−	0.940337i	$-0.389490\pi$
$840$	1.26180	+	1.08832i	0.0435363	+	0.0375505i
$841$	−25.0590	+	14.5961i	−0.864104	+	0.503313i
$842$	51.8273	+	0.421948i	1.78609	+	0.0145413i
$843$	−21.0478	−	2.67234i	−0.724925	−	0.0920404i
$844$	−30.8128	−	11.3483i	−1.06062	−	0.390624i
$845$	−4.19695	+	8.71507i	−0.144380	+	0.299807i
$846$	0.0600075	−	1.65140i	0.00206310	−	0.0567765i
$847$	1.33071	−	0.303725i	0.0457236	−	0.0104361i
$848$	−4.78293	+	2.11436i	−0.164246	+	0.0726073i
$849$	15.7947	−	24.3681i	0.542074	−	0.836313i
$850$	13.9703	+	11.3282i	0.479176	+	0.388554i
$851$	−26.9756	−	77.0920i	−0.924713	−	2.64268i
$852$	−30.1026	+	28.3274i	−1.03130	+	0.970479i
$853$	11.6148	−	11.6148i	0.397683	−	0.397683i	−0.479732	−	0.877415i	$-0.659266\pi$
$853$	11.6148	−	11.6148i	0.397683	−	0.397683i	0.877415	+	0.479732i	$0.159266\pi$
$854$	−4.01191	+	3.14630i	−0.137285	+	0.107664i
$855$	15.5041	+	5.92053i	0.530229	+	0.202478i
$856$	34.0151	+	22.5502i	1.16261	+	0.770750i
$857$	22.0661	−	17.5971i	0.753764	−	0.601106i	−0.169385	−	0.985550i	$-0.554178\pi$
$857$	22.0661	−	17.5971i	0.753764	−	0.601106i	0.923148	+	0.384444i	$0.125607\pi$
$858$	−0.922489	+	0.0832196i	−0.0314933	+	0.00284107i
$859$	20.2946	+	2.28665i	0.692443	+	0.0780196i	0.451170	−	0.892438i	$-0.351007\pi$
$859$	20.2946	+	2.28665i	0.692443	+	0.0780196i	0.241272	+	0.970457i	$0.422435\pi$
$860$	−2.93135	−	8.83626i	−0.0999581	−	0.301314i
$861$	−1.27205	−	5.95903i	−0.0433514	−	0.203083i
$862$	1.05505	+	10.1024i	0.0359351	+	0.344089i
$863$	23.4178	−	11.2774i	0.797151	−	0.383888i	0.00945779	−	0.999955i	$-0.496989\pi$
$863$	23.4178	−	11.2774i	0.797151	−	0.383888i	0.787693	+	0.616068i	$0.211275\pi$
$864$	8.89336	−	28.0162i	0.302558	−	0.953131i
$865$	3.48958	−	15.2889i	0.118649	−	0.519837i
$866$	21.3451	−	43.4158i	0.725336	−	1.47533i
$867$	7.93824	+	13.0379i	0.269597	+	0.442790i
$868$	−4.34388	+	2.63178i	−0.147441	+	0.0893283i
$869$		−	21.3113i		−	0.722936i
$870$	−8.92676	−	4.11255i	−0.302646	−	0.139428i
$871$	−0.334741			−0.0113423
$872$	9.01065	+	15.1495i	0.305139	+	0.513026i
$873$	28.8710	+	4.07974i	0.977136	+	0.138078i
$874$	−78.4587	−	38.5737i	−2.65390	−	1.30477i
$875$	−3.13196	−	0.714849i	−0.105879	−	0.0241663i
$876$	−38.8590	−	20.1895i	−1.31292	−	0.682140i
$877$	15.2495	+	31.6658i	0.514937	+	1.06928i	0.982662	+	0.185405i	$0.0593596\pi$
$877$	15.2495	+	31.6658i	0.514937	+	1.06928i	−0.467725	+	0.883874i	$0.654926\pi$
$878$	1.16132	+	11.1200i	0.0391927	+	0.375281i
$879$	−6.86596	−	32.1642i	−0.231583	−	1.08487i
$880$	2.52523	+	8.04823i	0.0851255	+	0.271306i
$881$	0.584148	−	5.18446i	0.0196805	−	0.174669i	−0.980027	−	0.198866i	$-0.936274\pi$
$881$	0.584148	−	5.18446i	0.0196805	−	0.174669i	0.999707	+	0.0241968i	$0.00770283\pi$
$882$	23.8250	+	16.2060i	0.802231	+	0.545685i
$883$	15.9918	+	20.0531i	0.538168	+	0.674842i	0.974355	−	0.225014i	$-0.0722428\pi$
$883$	15.9918	+	20.0531i	0.538168	+	0.674842i	−0.436187	+	0.899856i	$0.643671\pi$
$884$	−0.640682	−	0.417270i	−0.0215485	−	0.0140343i
$885$	11.4466	−	3.82520i	0.384774	−	0.128583i
$886$	26.5958	−	20.8575i	0.893502	−	0.700720i
$887$	17.0412	+	17.0412i	0.572186	+	0.572186i	0.932739	−	0.360553i	$-0.117412\pi$
$887$	17.0412	+	17.0412i	0.572186	+	0.572186i	−0.360553	+	0.932739i	$0.617412\pi$
$888$	35.2625	−	32.6458i	1.18333	−	1.09552i
$889$	−6.68561	+	2.33940i	−0.224228	+	0.0784608i
$890$	6.06141	−	7.47511i	0.203179	−	0.250566i
$891$	−12.3153	−	22.2966i	−0.412580	−	0.746966i
$892$	5.70017	+	12.3468i	0.190856	+	0.413403i
$893$	−0.643494	−	2.81933i	−0.0215337	−	0.0943453i
$894$	24.8145	+	32.5764i	0.829921	+	1.08952i
$895$	−14.6005	−	7.03123i	−0.488041	−	0.235028i
$896$	1.98066	−	4.76974i	0.0661693	−	0.159346i
$897$	−1.91155	−	0.242700i	−0.0638247	−	0.00810353i
$898$	0.165526	−	20.3313i	0.00552368	−	0.678466i
$899$	20.3342	−	21.9994i	0.678184	−	0.733721i
$900$	4.77288	+	26.2384i	0.159096	+	0.874613i
$901$	−3.16739	+	1.99020i	−0.105521	+	0.0663032i
$902$	10.4242	−	29.0303i	0.347088	−	0.966604i
$903$	2.08029	+	4.48018i	0.0692278	+	0.149091i
$904$	−32.4342	−	8.24116i	−1.07874	−	0.274097i
$905$	0.623130	+	2.73011i	0.0207135	+	0.0907520i
$906$	−2.99376	+	11.8915i	−0.0994609	+	0.395069i
$907$	−1.50483	−	13.3557i	−0.0499670	−	0.443469i	−0.993641	−	0.112593i	$-0.964084\pi$
$907$	−1.50483	−	13.3557i	−0.0499670	−	0.443469i	0.943674	−	0.330876i	$-0.107344\pi$
$908$	−8.77720	−	7.23648i	−0.291282	−	0.240151i
$909$	31.8004	−	18.7530i	1.05475	−	0.621997i
$910$	0.0638031	+	0.00771541i	0.00211505	+	0.000255763i
$911$	9.78684	−	9.78684i	0.324252	−	0.324252i	−0.526143	−	0.850396i	$-0.676363\pi$
$911$	9.78684	−	9.78684i	0.324252	−	0.324252i	0.850396	+	0.526143i	$0.176363\pi$
$912$	2.39900	−	51.3828i	0.0794389	−	1.70145i
$913$	−4.89138	−	3.07346i	−0.161881	−	0.101717i
$914$	−16.4575	−	10.5288i	−0.544367	−	0.348262i
$915$	10.1912	+	0.143603i	0.336909	+	0.00474737i
$916$	−17.8639	−	18.4553i	−0.590239	−	0.609780i
$917$	−0.331867	+	2.94540i	−0.0109592	+	0.0972657i
$918$	3.40405	−	20.7489i	0.112350	−	0.684815i
$919$	−22.9550	+	28.7847i	−0.757217	+	0.949520i	−0.999788	−	0.0206138i	$-0.993438\pi$
$919$	−22.9550	+	28.7847i	−0.757217	+	0.949520i	0.242571	+	0.970134i	$0.422009\pi$
$920$	1.53831	+	17.4804i	0.0507166	+	0.576311i
$921$	−17.4276	−	4.23694i	−0.574260	−	0.139612i
$922$	−48.2277	+	10.5953i	−1.58829	+	0.348938i
$923$	−0.354757	+	1.55429i	−0.0116770	+	0.0511601i
$924$	−1.81850	−	4.08939i	−0.0598242	−	0.134531i
$925$	−14.3999	+	41.1526i	−0.473466	+	1.35309i
$926$	24.3003	+	39.3819i	0.798558	+	1.29417i
$927$	1.30016	−	0.258443i	0.0427030	−	0.00848837i
$928$	−3.45290	+	30.2668i	−0.113347	+	0.993555i
$929$		−	38.2646i		−	1.25542i	−0.778447	−	0.627710i	$-0.783992\pi$
$929$		−	38.2646i		−	1.25542i	0.778447	−	0.627710i	$-0.216008\pi$
$930$	10.0615	+	1.36078i	0.329928	+	0.0446217i
$931$	47.5950	+	16.6542i	1.55986	+	0.545819i
$932$	−20.5175	−	10.2956i	−0.672073	−	0.337242i
$933$	14.6784	−	11.3710i	0.480549	−	0.372270i
$934$	1.01252	+	4.60880i	0.0331308	+	0.150805i
$935$	2.61799	+	5.43631i	0.0856175	+	0.177786i
$936$	−0.317654	−	1.08828i	−0.0103828	−	0.0355716i
$937$	0.918291	+	0.732313i	0.0299993	+	0.0239236i	0.638375	−	0.769726i	$-0.279607\pi$
$937$	0.918291	+	0.732313i	0.0299993	+	0.0239236i	−0.608375	+	0.793649i	$0.708178\pi$
$938$	−0.521760	−	1.53097i	−0.0170361	−	0.0499881i
$939$	1.91226	+	1.96692i	0.0624042	+	0.0641880i
$940$	−0.417052	+	0.403687i	−0.0136027	+	0.0131668i
$941$	9.79691	−	7.81278i	0.319370	−	0.254689i	−0.450661	−	0.892695i	$-0.648812\pi$
$941$	9.79691	−	7.81278i	0.319370	−	0.254689i	0.770032	+	0.638006i	$0.220240\pi$
$942$	4.06125	+	12.4904i	0.132323	+	0.406958i
$943$	34.1398	−	54.3332i	1.11175	−	1.76933i
$944$	−22.3582	−	29.9898i	−0.727698	−	0.976083i
$945$	0.512715	+	1.69138i	0.0166786	+	0.0550206i
$946$	−3.00186	+	24.8241i	−0.0975990	+	0.807102i
$947$	−22.2162	+	7.77380i	−0.721931	+	0.252615i	−0.666139	−	0.745828i	$-0.732054\pi$
$947$	−22.2162	+	7.77380i	−0.721931	+	0.252615i	−0.0557923	+	0.998442i	$0.517768\pi$
$948$	25.5952	−	5.02943i	0.831293	−	0.163348i
$949$	−1.67835	+	0.189105i	−0.0544816	+	0.00613861i
$950$	19.9064	+	42.2118i	0.645850	+	1.36953i
$951$	−21.7000	+	43.4825i	−0.703672	+	1.41002i
$952$	0.909798	−	3.58063i	0.0294867	−	0.116049i
$953$	10.2061	−	21.1931i	0.330607	−	0.686512i	−0.667715	−	0.744417i	$-0.732728\pi$
$953$	10.2061	−	21.1931i	0.330607	−	0.686512i	0.998322	+	0.0579046i	$0.0184419\pi$
$954$	−5.48558	−	0.820768i	−0.177602	−	0.0265733i
$955$	−5.54277	−	8.82126i	−0.179360	−	0.285449i
$956$	−18.9062	−	0.307867i	−0.611469	−	0.00995712i
$957$	16.9744	+	20.2173i	0.548703	+	0.653532i
$958$	−7.00297	−	0.0570141i	−0.226256	−	0.00184204i
$959$	2.83067	−	1.77863i	0.0914070	−	0.0574348i
$960$	−9.07009	+	4.93221i	−0.292736	+	0.159186i
$961$	0.0231278	−	0.0480253i	0.000746057	−	0.00154920i
$962$	0.427117	−	1.80351i	0.0137708	−	0.0581476i
$963$	17.6750	+	39.5136i	0.569570	+	1.27331i
$964$	−25.5654	+	11.8028i	−0.823407	+	0.380142i
$965$	−9.55234	+	1.07629i	−0.307501	+	0.0346470i
$966$	−1.86951	−	9.12097i	−0.0601505	−	0.293462i
$967$	0.382880	+	1.09421i	0.0123126	+	0.0351874i	0.949876	−	0.312628i	$-0.101209\pi$
$967$	0.382880	+	1.09421i	0.0123126	+	0.0351874i	−0.937563	+	0.347815i	$0.886924\pi$
$968$	−1.15184	+	8.37826i	−0.0370216	+	0.269287i
$969$	−3.60421	−	36.6186i	−0.115784	−	1.17636i
$970$	−6.32007	−	8.05884i	−0.202925	−	0.258754i
$971$	17.4420	+	10.9595i	0.559739	+	0.351707i	0.781999	−	0.623280i	$-0.214200\pi$
$971$	17.4420	+	10.9595i	0.559739	+	0.351707i	−0.222260	+	0.974988i	$0.571343\pi$
$972$	23.8722	−	20.0529i	0.765701	−	0.643197i
$973$	5.62925	−	4.48918i	0.180466	−	0.143917i
$974$	10.8242	+	11.0019i	0.346831	+	0.352525i
$975$	0.717008	+	0.737504i	0.0229626	+	0.0236190i
$976$	−9.45720	−	30.1413i	−0.302718	−	0.964800i
$977$	−21.5964	−	17.2226i	−0.690932	−	0.551000i	0.213855	−	0.976865i	$-0.431398\pi$
$977$	−21.5964	−	17.2226i	−0.690932	−	0.551000i	−0.904786	+	0.425866i	$0.859970\pi$
$978$	−12.5410	+	19.0075i	−0.401018	+	0.607792i
$979$	−23.2886	+	11.2152i	−0.744308	+	0.358440i
$980$	−2.09115	−	9.90246i	−0.0667993	−	0.316323i
$981$	−0.526779	+	18.6884i	−0.0168188	+	0.596676i
$982$	−0.945211	+	1.92255i	−0.0301629	+	0.0613512i
$983$	17.9035	−	51.1654i	0.571034	−	1.63192i	−0.188955	−	0.981986i	$-0.560510\pi$
$983$	17.9035	−	51.1654i	0.571034	−	1.63192i	0.759989	−	0.649936i	$-0.225204\pi$
$984$	37.3260	+	5.66851i	1.18991	+	0.180705i
$985$		−	10.6311i		−	0.338736i
$986$	0.679199	+	21.7805i	0.0216301	+	0.693632i
$987$	0.195385	−	0.238046i	0.00621919	−	0.00757710i
$988$	−1.02803	−	1.69682i	−0.0327060	−	0.0539829i
$989$	−17.1808	+	49.0999i	−0.546318	+	1.56129i
$990$	−2.30627	+	8.64441i	−0.0732981	+	0.274737i
$991$	−13.2049	−	3.01393i	−0.419467	−	0.0957406i	0.00757731	−	0.999971i	$-0.497588\pi$
$991$	−13.2049	−	3.01393i	−0.419467	−	0.0957406i	−0.427044	+	0.904231i	$0.640445\pi$
$992$	−5.74818	−	30.9395i	−0.182505	−	0.982330i
$993$	4.87611	−	20.0567i	0.154739	−	0.636480i
$994$	−7.66169	+	0.800154i	−0.243014	+	0.0253793i
$995$	−8.82143	−	7.03485i	−0.279658	−	0.223020i
$996$	2.53691	−	6.59995i	0.0803851	−	0.209127i
$997$	3.53132	−	31.3413i	0.111838	−	0.992590i	−0.804985	−	0.593296i	$-0.797827\pi$
$997$	3.53132	−	31.3413i	0.111838	−	0.992590i	0.916823	−	0.399294i	$-0.130745\pi$
$998$	6.63157	+	6.74044i	0.209919	+	0.213365i
$999$	50.1260	−	9.23172i	1.58591	−	0.292079i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	696.2.bs.c.77.94	yes	1344
3.2	odd	2	inner	696.2.bs.c.77.19	✓	1344
8.5	even	2	inner	696.2.bs.c.77.93	yes	1344
24.5	odd	2	inner	696.2.bs.c.77.20	yes	1344
29.26	odd	28	inner	696.2.bs.c.461.20	yes	1344
87.26	even	28	inner	696.2.bs.c.461.93	yes	1344
232.229	odd	28	inner	696.2.bs.c.461.19	yes	1344
696.461	even	28	inner	696.2.bs.c.461.94	yes	1344

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
696.2.bs.c.77.19	✓	1344	3.2	odd	2	inner
696.2.bs.c.77.20	yes	1344	24.5	odd	2	inner
696.2.bs.c.77.93	yes	1344	8.5	even	2	inner
696.2.bs.c.77.94	yes	1344	1.1	even	1	trivial
696.2.bs.c.461.19	yes	1344	232.229	odd	28	inner
696.2.bs.c.461.20	yes	1344	29.26	odd	28	inner
696.2.bs.c.461.93	yes	1344	87.26	even	28	inner
696.2.bs.c.461.94	yes	1344	696.461	even	28	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:	\( N \)	\(=\)	\( 696 = 2^{3} \cdot 3 \cdot 29 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	696.bs (of order \(28\), degree \(12\), minimal)

\(f(q)\)	\(=\)	\(q+(1.20353 - 0.742633i) q^{2} +(-1.47941 + 0.900752i) q^{3} +(0.896991 - 1.78757i) q^{4} +(-0.726418 - 0.165800i) q^{5} +(-1.11159 + 2.18274i) q^{6} +(-0.411287 + 0.198065i) q^{7} +(-0.247949 - 2.81754i) q^{8} +(1.37729 - 2.66516i) q^{9} +(-0.997398 + 0.339916i) q^{10} +(2.81239 + 0.316881i) q^{11} +(0.283142 + 3.45251i) q^{12} +(0.0833027 + 0.104458i) q^{13} +(-0.347908 + 0.543814i) q^{14} +(1.22401 - 0.409037i) q^{15} +(-2.39081 - 3.20687i) q^{16} +(-2.02325 - 2.02325i) q^{17} +(-0.321616 - 4.23043i) q^{18} +(-2.45217 - 7.00790i) q^{19} +(-0.947970 + 1.14980i) q^{20} +(0.430053 - 0.663486i) q^{21} +(3.62014 - 1.70720i) q^{22} +(8.11782 - 1.85284i) q^{23} +(2.90472 + 3.94495i) q^{24} +(-4.00465 - 1.92854i) q^{25} +(0.177832 + 0.0638558i) q^{26} +(0.363070 + 5.18345i) q^{27} +(-0.0148651 + 0.912867i) q^{28} +(-1.40374 - 5.19899i) q^{29} +(1.16938 - 1.40128i) q^{30} +(2.95968 + 4.71031i) q^{31} +(-5.25896 - 2.08408i) q^{32} +(-4.44611 + 2.06447i) q^{33} +(-3.93759 - 0.932519i) q^{34} +(0.331605 - 0.0756868i) q^{35} +(-3.52874 - 4.85263i) q^{36} +(-1.09826 - 9.74731i) q^{37} +(-8.15557 - 6.61319i) q^{38} +(-0.217330 - 0.0795013i) q^{39} +(-0.287034 + 2.08782i) q^{40} +(5.44931 - 5.44931i) q^{41} +(0.0248564 - 1.11790i) q^{42} +(-3.32379 + 5.28978i) q^{43} +(3.08914 - 4.74311i) q^{44} +(-1.44237 + 1.70766i) q^{45} +(8.39410 - 8.25852i) q^{46} +(0.387048 + 0.0436098i) q^{47} +(6.42558 + 2.59074i) q^{48} +(-4.23450 + 5.30990i) q^{49} +(-6.25193 + 0.652925i) q^{50} +(4.81566 + 1.17077i) q^{51} +(0.261448 - 0.0552113i) q^{52} +(0.290914 - 1.27458i) q^{53} +(4.28637 + 5.96884i) q^{54} +(-1.99044 - 0.696484i) q^{55} +(0.660035 + 1.10971i) q^{56} +(9.94014 + 8.15874i) q^{57} +(-5.55040 - 5.21470i) q^{58} +9.35172 q^{59} +(0.366748 - 2.55491i) q^{60} +(7.45436 + 2.60839i) q^{61} +(7.06011 + 3.47106i) q^{62} +(-0.0385869 + 1.36894i) q^{63} +(-7.87704 + 1.39721i) q^{64} +(-0.0431934 - 0.0896921i) q^{65} +(-3.81790 + 5.78649i) q^{66} +(-1.56210 + 1.95881i) q^{67} +(-5.43154 + 1.80187i) q^{68} +(-10.3406 + 10.0532i) q^{69} +(0.342891 - 0.337353i) q^{70} +(7.43977 + 9.32917i) q^{71} +(-7.85068 - 3.21975i) q^{72} +(-6.72559 + 10.7037i) q^{73} +(-8.56047 - 10.9156i) q^{74} +(7.66164 - 0.754103i) q^{75} +(-14.7267 - 1.90260i) q^{76} +(-1.21946 + 0.426709i) q^{77} +(-0.320604 + 0.0657137i) q^{78} +(-0.843091 - 7.48264i) q^{79} +(1.20503 + 2.72593i) q^{80} +(-5.20613 - 7.34140i) q^{81} +(2.51159 - 10.6053i) q^{82} +(-1.83901 - 0.885619i) q^{83} +(-0.800275 - 1.36389i) q^{84} +(1.13427 + 1.80518i) q^{85} +(-0.0719278 + 8.83479i) q^{86} +(6.75971 + 6.42700i) q^{87} +(0.195492 - 8.00260i) q^{88} +(-7.73322 + 4.85910i) q^{89} +(-0.467779 + 3.12639i) q^{90} +(-0.0549509 - 0.0264629i) q^{91} +(3.96953 - 16.1732i) q^{92} +(-8.62139 - 4.30252i) q^{93} +(0.498211 - 0.234949i) q^{94} +(0.619390 + 5.49724i) q^{95} +(9.65738 - 1.65381i) q^{96} +(3.21007 + 9.17386i) q^{97} +(-1.15306 + 9.53533i) q^{98} +(4.71803 - 7.05904i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 1344 q - 28 q^{4} - 14 q^{6} - 40 q^{7} - 28 q^{9} - 48 q^{10} - 12 q^{15} - 84 q^{16} + 12 q^{18} - 28 q^{22} - 10 q^{24} + 120 q^{25} - 16 q^{30} - 8 q^{31} - 28 q^{33} - 28 q^{34} - 86 q^{36} - 36 q^{39}+ \cdots - 24 q^{97}+O(q^{100}) \) 1344 * q - 28 * q^4 - 14 * q^6 - 40 * q^7 - 28 * q^9 - 48 * q^10 - 12 * q^15 - 84 * q^16 + 12 * q^18 - 28 * q^22 - 10 * q^24 + 120 * q^25 - 16 * q^30 - 8 * q^31 - 28 * q^33 - 28 * q^34 - 86 * q^36 - 36 * q^39 - 60 * q^40 - 14 * q^42 - 112 * q^46 - 16 * q^48 - 88 * q^49 + 104 * q^52 - 10 * q^54 + 16 * q^55 - 188 * q^58 + 68 * q^60 - 196 * q^63 + 224 * q^64 - 44 * q^66 + 280 * q^70 + 56 * q^72 + 8 * q^73 - 68 * q^76 + 14 * q^78 - 72 * q^79 - 60 * q^81 - 20 * q^82 - 40 * q^84 - 48 * q^87 - 40 * q^88 - 4 * q^90 - 128 * q^94 - 56 * q^96 - 24 * q^97

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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