LMFDB - Embedded newform 546.2.bu.b.71.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [546,2,Mod(71,546)]

mf = mfinit([N,k,chi],0)

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(546, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([6, 0, 5]))

N = Newforms(chi, 2, names="a")

//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code

chi := DirichletCharacter("546.71");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 546 = 2 \cdot 3 \cdot 7 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	546.bu (of order $12$, degree $4$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

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

Self dual:	no
Analytic conductor:	$4.35983195036$
Analytic rank:	$0$
Dimension:	$56$
Relative dimension:	$14$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			71.1
Character	$\chi$	$=$	546.71
Dual form			546.2.bu.b.323.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.965926 + 0.258819i) q^{2} +(-1.67137 + 0.454432i) q^{3} +(0.866025 - 0.500000i) q^{4} +(-0.359298 - 0.359298i) q^{5} +(1.49681 - 0.871531i) q^{6} +(-0.258819 + 0.965926i) q^{7} +(-0.707107 + 0.707107i) q^{8} +(2.58698 - 1.51905i) q^{9} +O(q^{10})$	\(q+(-0.965926 + 0.258819i) q^{2} +(-1.67137 + 0.454432i) q^{3} +(0.866025 - 0.500000i) q^{4} +(-0.359298 - 0.359298i) q^{5} +(1.49681 - 0.871531i) q^{6} +(-0.258819 + 0.965926i) q^{7} +(-0.707107 + 0.707107i) q^{8} +(2.58698 - 1.51905i) q^{9} +(0.440048 + 0.254062i) q^{10} +(-0.529024 - 1.97435i) q^{11} +(-1.22024 + 1.22924i) q^{12} +(-0.322715 + 3.59108i) q^{13} -1.00000i q^{14} +(0.763798 + 0.437245i) q^{15} +(0.500000 - 0.866025i) q^{16} +(-0.334378 - 0.579160i) q^{17} +(-2.10567 + 2.13685i) q^{18} +(3.11361 + 0.834289i) q^{19} +(-0.490810 - 0.131512i) q^{20} +(-0.00636431 - 1.73204i) q^{21} +(1.02200 + 1.77015i) q^{22} +(-3.54554 + 6.14106i) q^{23} +(0.860508 - 1.50317i) q^{24} -4.74181i q^{25} +(-0.617721 - 3.55224i) q^{26} +(-3.63351 + 3.71451i) q^{27} +(0.258819 + 0.965926i) q^{28} +(-2.59550 - 1.49852i) q^{29} +(-0.850939 - 0.224661i) q^{30} +(-4.15805 + 4.15805i) q^{31} +(-0.258819 + 0.965926i) q^{32} +(1.78140 + 3.05947i) q^{33} +(0.472882 + 0.472882i) q^{34} +(0.440048 - 0.254062i) q^{35} +(1.48087 - 2.60903i) q^{36} +(-4.74608 + 1.27171i) q^{37} -3.22345 q^{38} +(-1.09253 - 6.14869i) q^{39} +0.508124 q^{40} +(-5.56092 + 1.49004i) q^{41} +(0.454432 + 1.67137i) q^{42} +(-4.09318 + 2.36320i) q^{43} +(-1.44532 - 1.44532i) q^{44} +(-1.47529 - 0.383705i) q^{45} +(1.83531 - 6.84946i) q^{46} +(-9.15457 + 9.15457i) q^{47} +(-0.442137 + 1.67467i) q^{48} +(-0.866025 - 0.500000i) q^{49} +(1.22727 + 4.58024i) q^{50} +(0.822060 + 0.816040i) q^{51} +(1.51606 + 3.27132i) q^{52} -2.70226i q^{53} +(2.54831 - 4.52837i) q^{54} +(-0.519301 + 0.899456i) q^{55} +(-0.500000 - 0.866025i) q^{56} +(-5.58313 + 0.0205150i) q^{57} +(2.89491 + 0.775689i) q^{58} +(1.53497 + 0.411293i) q^{59} +(0.880090 - 0.00323386i) q^{60} +(1.05918 + 1.83455i) q^{61} +(2.94019 - 5.09255i) q^{62} +(0.797731 + 2.89199i) q^{63} -1.00000i q^{64} +(1.40622 - 1.17432i) q^{65} +(-2.51255 - 2.49416i) q^{66} +(-3.55109 - 13.2528i) q^{67} +(-0.579160 - 0.334378i) q^{68} +(3.13523 - 11.8752i) q^{69} +(-0.359298 + 0.359298i) q^{70} +(-3.72928 + 13.9179i) q^{71} +(-0.755141 + 2.90341i) q^{72} +(2.50310 + 2.50310i) q^{73} +(4.25522 - 2.45675i) q^{74} +(2.15483 + 7.92534i) q^{75} +(3.11361 - 0.834289i) q^{76} +2.04399 q^{77} +(2.64670 + 5.65641i) q^{78} -14.0833 q^{79} +(-0.490810 + 0.131512i) q^{80} +(4.38496 - 7.85952i) q^{81} +(4.98579 - 2.87854i) q^{82} +(-2.91896 - 2.91896i) q^{83} +(-0.871531 - 1.49681i) q^{84} +(-0.0879495 + 0.328232i) q^{85} +(3.34207 - 3.34207i) q^{86} +(5.01903 + 1.32510i) q^{87} +(1.77015 + 1.02200i) q^{88} +(3.28237 + 12.2500i) q^{89} +(1.52433 - 0.0112023i) q^{90} +(-3.38519 - 1.24116i) q^{91} +7.09109i q^{92} +(5.06011 - 8.83921i) q^{93} +(6.47326 - 11.2120i) q^{94} +(-0.818955 - 1.41847i) q^{95} +(-0.00636431 - 1.73204i) q^{96} +(16.9769 + 4.54895i) q^{97} +(0.965926 + 0.258819i) q^{98} +(-4.36771 - 4.30398i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 56 q + 8 q^{6} - 24 q^{9}+O(q^{10}) $ 56 * q + 8 * q^6 - 24 * q^9	$ 56 q + 8 q^{6} - 24 q^{9} + 24 q^{10} + 8 q^{11} + 24 q^{13} + 4 q^{15} + 28 q^{16} - 4 q^{17} - 8 q^{18} + 8 q^{19} + 4 q^{21} - 8 q^{23} - 8 q^{24} - 4 q^{26} - 24 q^{27} - 8 q^{30} - 8 q^{31} + 8 q^{33} - 24 q^{34} + 24 q^{35} - 12 q^{36} - 8 q^{37} - 20 q^{39} - 28 q^{41} + 8 q^{44} + 72 q^{45} - 20 q^{46} + 64 q^{50} + 16 q^{54} + 8 q^{55} - 28 q^{56} + 4 q^{58} - 8 q^{59} + 20 q^{60} + 8 q^{61} - 32 q^{62} - 16 q^{63} - 24 q^{65} + 32 q^{66} - 16 q^{69} - 112 q^{71} + 8 q^{73} + 48 q^{74} + 40 q^{75} + 8 q^{76} + 16 q^{79} + 12 q^{81} - 4 q^{83} - 4 q^{84} + 32 q^{85} - 16 q^{86} - 144 q^{87} + 88 q^{89} - 8 q^{90} - 8 q^{91} + 52 q^{93} - 8 q^{94} - 48 q^{95} + 4 q^{96} - 64 q^{97} + 56 q^{99}+O(q^{100}) $ 56 * q + 8 * q^6 - 24 * q^9 + 24 * q^10 + 8 * q^11 + 24 * q^13 + 4 * q^15 + 28 * q^16 - 4 * q^17 - 8 * q^18 + 8 * q^19 + 4 * q^21 - 8 * q^23 - 8 * q^24 - 4 * q^26 - 24 * q^27 - 8 * q^30 - 8 * q^31 + 8 * q^33 - 24 * q^34 + 24 * q^35 - 12 * q^36 - 8 * q^37 - 20 * q^39 - 28 * q^41 + 8 * q^44 + 72 * q^45 - 20 * q^46 + 64 * q^50 + 16 * q^54 + 8 * q^55 - 28 * q^56 + 4 * q^58 - 8 * q^59 + 20 * q^60 + 8 * q^61 - 32 * q^62 - 16 * q^63 - 24 * q^65 + 32 * q^66 - 16 * q^69 - 112 * q^71 + 8 * q^73 + 48 * q^74 + 40 * q^75 + 8 * q^76 + 16 * q^79 + 12 * q^81 - 4 * q^83 - 4 * q^84 + 32 * q^85 - 16 * q^86 - 144 * q^87 + 88 * q^89 - 8 * q^90 - 8 * q^91 + 52 * q^93 - 8 * q^94 - 48 * q^95 + 4 * q^96 - 64 * q^97 + 56 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/546\mathbb{Z}\right)^\times$.

$n$	$157$	$365$	$379$
$\chi(n)$	$1$	$-1$	$e\left(\frac{5}{12}\right)$

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 $

$2$	−0.965926	+	0.258819i	−0.683013	+	0.183013i
$2$	−0.965926	+	0.258819i	−0.683013	+	0.183013i
$3$	−1.67137	+	0.454432i	−0.964968	+	0.262367i
$3$	−1.67137	+	0.454432i	−0.964968	+	0.262367i
$4$	0.866025	−	0.500000i	0.433013	−	0.250000i
$5$	−0.359298	−	0.359298i	−0.160683	−	0.160683i	0.622186	−	0.782869i	$-0.286245\pi$
$5$	−0.359298	−	0.359298i	−0.160683	−	0.160683i	−0.782869	+	0.622186i	$0.786245\pi$
$6$	1.49681	−	0.871531i	0.611069	−	0.355801i
$7$	−0.258819	+	0.965926i	−0.0978244	+	0.365086i
$7$	−0.258819	+	0.965926i	−0.0978244	+	0.365086i
$8$	−0.707107	+	0.707107i	−0.250000	+	0.250000i
$9$	2.58698	−	1.51905i	0.862328	−	0.506351i
$10$	0.440048	+	0.254062i	0.139155	+	0.0803414i
$11$	−0.529024	−	1.97435i	−0.159507	−	0.595288i	−0.998677	−	0.0514190i	$-0.983626\pi$
$11$	−0.529024	−	1.97435i	−0.159507	−	0.595288i	0.839170	−	0.543869i	$-0.183041\pi$
$12$	−1.22024	+	1.22924i	−0.352252	+	0.354850i
$13$	−0.322715	+	3.59108i	−0.0895050	+	0.995986i
$13$	−0.322715	+	3.59108i	−0.0895050	+	0.995986i
$14$		−	1.00000i		−	0.267261i
$15$	0.763798	+	0.437245i	0.197212	+	0.112896i
$16$	0.500000	−	0.866025i	0.125000	−	0.216506i
$17$	−0.334378	−	0.579160i	−0.0810986	−	0.140467i	0.822623	−	0.568586i	$-0.192510\pi$
$17$	−0.334378	−	0.579160i	−0.0810986	−	0.140467i	−0.903722	+	0.428120i	$0.859176\pi$
$18$	−2.10567	+	2.13685i	−0.496312	+	0.503661i
$19$	3.11361	+	0.834289i	0.714311	+	0.191399i	0.597632	−	0.801771i	$-0.296108\pi$
$19$	3.11361	+	0.834289i	0.714311	+	0.191399i	0.116679	+	0.993170i	$0.462775\pi$
$20$	−0.490810	−	0.131512i	−0.109748	−	0.0294070i
$21$	−0.00636431	−	1.73204i	−0.00138881	−	0.377962i
$22$	1.02200	+	1.77015i	0.217890	+	0.377397i
$23$	−3.54554	+	6.14106i	−0.739297	+	1.28050i	0.213515	+	0.976940i	$0.431509\pi$
$23$	−3.54554	+	6.14106i	−0.739297	+	1.28050i	−0.952812	+	0.303560i	$0.901825\pi$
$24$	0.860508	−	1.50317i	0.175650	−	0.306834i
$25$		−	4.74181i		−	0.948362i
$26$	−0.617721	−	3.55224i	−0.121145	−	0.696652i
$27$	−3.63351	+	3.71451i	−0.699269	+	0.714858i
$28$	0.258819	+	0.965926i	0.0489122	+	0.182543i
$29$	−2.59550	−	1.49852i	−0.481973	−	0.278267i	0.239265	−	0.970954i	$-0.423093\pi$
$29$	−2.59550	−	1.49852i	−0.481973	−	0.278267i	−0.721238	+	0.692687i	$0.756427\pi$
$30$	−0.850939	−	0.224661i	−0.155360	−	0.0410172i
$31$	−4.15805	+	4.15805i	−0.746808	+	0.746808i	−0.973878	−	0.227070i	$-0.927085\pi$
$31$	−4.15805	+	4.15805i	−0.746808	+	0.746808i	0.227070	+	0.973878i	$0.427085\pi$
$32$	−0.258819	+	0.965926i	−0.0457532	+	0.170753i
$33$	1.78140	+	3.05947i	0.310103	+	0.532585i
$34$	0.472882	+	0.472882i	0.0810986	+	0.0810986i
$35$	0.440048	−	0.254062i	0.0743817	−	0.0429443i
$36$	1.48087	−	2.60903i	0.246811	−	0.434838i
$37$	−4.74608	+	1.27171i	−0.780250	+	0.209067i	−0.626895	−	0.779104i	$-0.715675\pi$
$37$	−4.74608	+	1.27171i	−0.780250	+	0.209067i	−0.153355	+	0.988171i	$0.549008\pi$
$38$	−3.22345			−0.522912
$39$	−1.09253	−	6.14869i	−0.174944	−	0.984578i
$40$	0.508124			0.0803414
$41$	−5.56092	+	1.49004i	−0.868470	+	0.232706i	−0.665426	−	0.746464i	$-0.731750\pi$
$41$	−5.56092	+	1.49004i	−0.868470	+	0.232706i	−0.203044	+	0.979170i	$0.565083\pi$
$42$	0.454432	+	1.67137i	0.0701204	+	0.257899i
$43$	−4.09318	+	2.36320i	−0.624205	+	0.360385i	−0.778504	−	0.627639i	$-0.784021\pi$
$43$	−4.09318	+	2.36320i	−0.624205	+	0.360385i	0.154300	+	0.988024i	$0.450688\pi$
$44$	−1.44532	−	1.44532i	−0.217890	−	0.217890i
$45$	−1.47529	−	0.383705i	−0.219923	−	0.0571994i
$46$	1.83531	−	6.84946i	0.270601	−	1.00990i
$47$	−9.15457	+	9.15457i	−1.33533	+	1.33533i	−0.434807	+	0.900524i	$0.643184\pi$
$47$	−9.15457	+	9.15457i	−1.33533	+	1.33533i	−0.900524	+	0.434807i	$0.856816\pi$
$48$	−0.442137	+	1.67467i	−0.0638170	+	0.241718i
$49$	−0.866025	−	0.500000i	−0.123718	−	0.0714286i
$50$	1.22727	+	4.58024i	0.173562	+	0.647743i
$51$	0.822060	+	0.816040i	0.115111	+	0.114269i
$52$	1.51606	+	3.27132i	0.210240	+	0.453651i
$53$		−	2.70226i		−	0.371184i	−0.982627	−	0.185592i	$-0.940580\pi$
$53$		−	2.70226i		−	0.371184i	0.982627	−	0.185592i	$-0.0594202\pi$
$54$	2.54831	−	4.52837i	0.346782	−	0.616232i
$55$	−0.519301	+	0.899456i	−0.0700225	+	0.121283i
$56$	−0.500000	−	0.866025i	−0.0668153	−	0.115728i
$57$	−5.58313	+	0.0205150i	−0.739504	+	0.00271728i
$58$	2.89491	+	0.775689i	0.380120	+	0.101853i
$59$	1.53497	+	0.411293i	0.199836	+	0.0535458i	0.357348	−	0.933971i	$-0.383681\pi$
$59$	1.53497	+	0.411293i	0.199836	+	0.0535458i	−0.157513	+	0.987517i	$0.550348\pi$
$60$	0.880090	−	0.00323386i	0.113619	−	0.000417489i
$61$	1.05918	+	1.83455i	0.135614	+	0.234890i	0.925832	−	0.377936i	$-0.123366\pi$
$61$	1.05918	+	1.83455i	0.135614	+	0.234890i	−0.790218	+	0.612826i	$0.790033\pi$
$62$	2.94019	−	5.09255i	0.373404	−	0.646755i
$63$	0.797731	+	2.89199i	0.100505	+	0.364357i
$64$		−	1.00000i		−	0.125000i
$65$	1.40622	−	1.17432i	0.174420	−	0.145656i
$66$	−2.51255	−	2.49416i	−0.309274	−	0.307009i
$67$	−3.55109	−	13.2528i	−0.433834	−	1.61909i	−0.743840	−	0.668357i	$-0.766998\pi$
$67$	−3.55109	−	13.2528i	−0.433834	−	1.61909i	0.310006	−	0.950735i	$-0.399669\pi$
$68$	−0.579160	−	0.334378i	−0.0702334	−	0.0405493i
$69$	3.13523	−	11.8752i	0.377438	−	1.42961i
$70$	−0.359298	+	0.359298i	−0.0429443	+	0.0429443i
$71$	−3.72928	+	13.9179i	−0.442585	+	1.65175i	0.279652	+	0.960102i	$0.409781\pi$
$71$	−3.72928	+	13.9179i	−0.442585	+	1.65175i	−0.722236	+	0.691647i	$0.756886\pi$
$72$	−0.755141	+	2.90341i	−0.0889942	+	0.342170i
$73$	2.50310	+	2.50310i	0.292965	+	0.292965i	0.838251	−	0.545285i	$-0.183579\pi$
$73$	2.50310	+	2.50310i	0.292965	+	0.292965i	−0.545285	+	0.838251i	$0.683579\pi$
$74$	4.25522	−	2.45675i	0.494659	−	0.285591i
$75$	2.15483	+	7.92534i	0.248818	+	0.915139i
$76$	3.11361	−	0.834289i	0.357155	−	0.0956995i
$77$	2.04399			0.232935
$78$	2.64670	+	5.65641i	0.299679	+	0.640463i
$79$	−14.0833			−1.58450			−0.792248	−	0.610200i	$-0.791089\pi$
$79$	−14.0833			−1.58450			−0.792248	+	0.610200i	$0.791089\pi$
$80$	−0.490810	+	0.131512i	−0.0548742	+	0.0147035i
$81$	4.38496	−	7.85952i	0.487218	−	0.873280i
$82$	4.98579	−	2.87854i	0.550588	−	0.317882i
$83$	−2.91896	−	2.91896i	−0.320398	−	0.320398i	0.528522	−	0.848920i	$-0.322746\pi$
$83$	−2.91896	−	2.91896i	−0.320398	−	0.320398i	−0.848920	+	0.528522i	$0.822746\pi$
$84$	−0.871531	−	1.49681i	−0.0950919	−	0.163315i
$85$	−0.0879495	+	0.328232i	−0.00953947	+	0.0356018i
$86$	3.34207	−	3.34207i	0.360385	−	0.360385i
$87$	5.01903	+	1.32510i	0.538097	+	0.142066i
$88$	1.77015	+	1.02200i	0.188699	+	0.108945i
$89$	3.28237	+	12.2500i	0.347930	+	1.29849i	0.889151	+	0.457614i	$0.151296\pi$
$89$	3.28237	+	12.2500i	0.347930	+	1.29849i	−0.541221	+	0.840881i	$0.682038\pi$
$90$	1.52433	−	0.0112023i	0.160679	−	0.00118083i
$91$	−3.38519	−	1.24116i	−0.354865	−	0.130109i
$92$			7.09109i			0.739297i
$93$	5.06011	−	8.83921i	0.524709	−	0.916584i
$94$	6.47326	−	11.2120i	0.667665	−	1.15643i
$95$	−0.818955	−	1.41847i	−0.0840230	−	0.145532i
$96$	−0.00636431	−	1.73204i	−0.000649554	−	0.176776i
$97$	16.9769	+	4.54895i	1.72374	+	0.461876i	0.978727	−	0.205169i	$-0.0657744\pi$
$97$	16.9769	+	4.54895i	1.72374	+	0.461876i	0.745018	+	0.667045i	$0.232441\pi$
$98$	0.965926	+	0.258819i	0.0975732	+	0.0261447i
$99$	−4.36771	−	4.30398i	−0.438972	−	0.432567i
$100$	−2.37091	−	4.10653i	−0.237091	−	0.410653i
$101$	2.35547	−	4.07980i	0.234378	−	0.405955i	−0.724713	−	0.689050i	$-0.758028\pi$
$101$	2.35547	−	4.07980i	0.234378	−	0.405955i	0.959092	+	0.283095i	$0.0913612\pi$
$102$	−1.00526	−	0.575470i	−0.0995351	−	0.0569800i
$103$		−	0.191339i		−	0.0188532i	−0.999956	−	0.00942662i	$-0.996999\pi$
$103$		−	0.191339i		−	0.0188532i	0.999956	−	0.00942662i	$-0.00300063\pi$
$104$	−2.31108	−	2.76747i	−0.226620	−	0.271373i
$105$	−0.620031	+	0.624605i	−0.0605089	+	0.0609552i
$106$	0.699396	+	2.61018i	0.0679313	+	0.253523i
$107$	9.11400	+	5.26197i	0.881084	+	0.508694i	0.871016	−	0.491255i	$-0.163462\pi$
$107$	9.11400	+	5.26197i	0.881084	+	0.508694i	0.0100681	+	0.999949i	$0.496795\pi$
$108$	−1.28946	+	5.03362i	−0.124078	+	0.484360i
$109$	0.435226	−	0.435226i	0.0416871	−	0.0416871i	−0.685956	−	0.727643i	$-0.740616\pi$
$109$	0.435226	−	0.435226i	0.0416871	−	0.0416871i	0.727643	+	0.685956i	$0.240616\pi$
$110$	0.268810	−	1.00321i	0.0256300	−	0.0956526i
$111$	7.35456	−	4.28227i	0.698064	−	0.406455i
$112$	0.707107	+	0.707107i	0.0668153	+	0.0668153i
$113$	4.97841	−	2.87429i	0.468330	−	0.270390i	−0.247211	−	0.968962i	$-0.579514\pi$
$113$	4.97841	−	2.87429i	0.468330	−	0.270390i	0.715540	+	0.698572i	$0.246181\pi$
$114$	5.38758	−	1.46484i	0.504593	−	0.137195i
$115$	3.48038	−	0.932564i	0.324547	−	0.0869620i
$116$	−2.99703			−0.278267
$117$	4.62018	+	9.78028i	0.427136	+	0.904187i
$118$	−1.58911			−0.146290
$119$	0.645969	−	0.173087i	0.0592159	−	0.0158668i
$120$	−0.849265	+	0.230908i	−0.0775269	+	0.0210789i
$121$	5.90810	−	3.41105i	0.537100	−	0.310095i
$122$	−1.49790	−	1.49790i	−0.135614	−	0.135614i
$123$	8.61726	−	5.01748i	0.776992	−	0.452411i
$124$	−1.52195	+	5.68001i	−0.136675	+	0.510080i
$125$	−3.50021	+	3.50021i	−0.313068	+	0.313068i
$126$	−1.51905	−	2.58698i	−0.135328	−	0.230467i
$127$	19.0710	+	11.0106i	1.69228	+	0.977036i	0.952676	+	0.303988i	$0.0983184\pi$
$127$	19.0710	+	11.0106i	1.69228	+	0.977036i	0.739599	+	0.673047i	$0.235015\pi$
$128$	0.258819	+	0.965926i	0.0228766	+	0.0853766i
$129$	5.76733	−	5.80987i	0.507785	−	0.511530i
$130$	−1.05437	+	1.49826i	−0.0924741	+	0.131406i
$131$			5.16099i			0.450918i	0.974253	+	0.225459i	$0.0723882\pi$
$131$			5.16099i			0.450918i	−0.974253	+	0.225459i	$0.927612\pi$
$132$	3.07247	+	1.75887i	0.267425	+	0.153090i
$133$	−1.61172	+	2.79159i	−0.139754	+	0.242061i
$134$	6.86017	+	11.8822i	0.592629	+	1.02646i
$135$	2.64013	−	0.0291042i	0.227226	−	0.00250489i
$136$	0.645969	+	0.173087i	0.0553914	+	0.0148421i
$137$	−4.58404	−	1.22829i	−0.391641	−	0.104940i	0.0576244	−	0.998338i	$-0.481647\pi$
$137$	−4.58404	−	1.22829i	−0.391641	−	0.104940i	−0.449265	+	0.893399i	$0.648314\pi$
$138$	0.0451299	+	12.2820i	0.00384171	+	1.04552i
$139$	−4.84605	−	8.39360i	−0.411036	−	0.711936i	0.583967	−	0.811777i	$-0.301500\pi$
$139$	−4.84605	−	8.39360i	−0.411036	−	0.711936i	−0.995003	+	0.0998417i	$0.968166\pi$
$140$	0.254062	−	0.440048i	0.0214722	−	0.0371909i
$141$	11.1406	−	19.4608i	0.938206	−	1.63890i
$142$		−	14.4088i		−	1.20916i
$143$	7.26076	−	1.26262i	0.607175	−	0.105585i
$144$	−0.0220465	−	2.99992i	−0.00183720	−	0.249993i
$145$	0.394146	+	1.47097i	0.0327320	+	0.122158i
$146$	−3.06566	−	1.76996i	−0.253716	−	0.146483i
$147$	1.67467	+	0.442137i	0.138124	+	0.0364669i
$148$	−3.47437	+	3.47437i	−0.285591	+	0.285591i
$149$	3.08364	−	11.5083i	0.252622	−	0.942798i	−0.716776	−	0.697303i	$-0.754383\pi$
$149$	3.08364	−	11.5083i	0.252622	−	0.942798i	0.969398	−	0.245494i	$-0.0789503\pi$
$150$	−4.13264	−	7.09758i	−0.337428	−	0.579515i
$151$	−7.88429	−	7.88429i	−0.641615	−	0.641615i	0.309338	−	0.950952i	$-0.399893\pi$
$151$	−7.88429	−	7.88429i	−0.641615	−	0.641615i	−0.950952	+	0.309338i	$0.899893\pi$
$152$	−2.79159	+	1.61172i	−0.226427	+	0.130728i
$153$	−1.74480	−	0.990339i	−0.141059	−	0.0800641i
$154$	−1.97435	+	0.529024i	−0.159097	+	0.0426300i
$155$	2.98796			0.239999
$156$	−4.02050	−	4.77866i	−0.321898	−	0.382599i
$157$	−16.4126			−1.30987			−0.654936	−	0.755684i	$-0.727304\pi$
$157$	−16.4126			−1.30987			−0.654936	+	0.755684i	$0.727304\pi$
$158$	13.6034	−	3.64503i	1.08223	−	0.289983i
$159$	1.22799	+	4.51648i	0.0973861	+	0.358180i
$160$	0.440048	−	0.254062i	0.0347889	−	0.0200854i
$161$	−5.01416	−	5.01416i	−0.395171	−	0.395171i
$162$	−2.20135	+	8.72663i	−0.172955	+	0.685629i
$163$	−2.79695	+	10.4384i	−0.219074	+	0.817595i	0.765619	+	0.643295i	$0.222433\pi$
$163$	−2.79695	+	10.4384i	−0.219074	+	0.817595i	−0.984693	+	0.174300i	$0.944234\pi$
$164$	−4.07088	+	4.07088i	−0.317882	+	0.317882i
$165$	0.459205	−	1.73931i	0.0357490	−	0.135405i
$166$	3.57498	+	2.06402i	0.277473	+	0.160199i
$167$	1.50540	+	5.61824i	0.116492	+	0.434752i	0.999394	−	0.0348038i	$-0.0110806\pi$
$167$	1.50540	+	5.61824i	0.116492	+	0.434752i	−0.882903	+	0.469556i	$0.844414\pi$
$168$	1.22924	+	1.22024i	0.0948377	+	0.0941433i
$169$	−12.7917	−	2.31779i	−0.983978	−	0.178291i
$170$		−	0.339811i		−	0.0260623i
$171$	9.32218	−	2.57144i	0.712885	−	0.196643i
$172$	−2.36320	+	4.09318i	−0.180192	+	0.312102i
$173$	−8.73192	−	15.1241i	−0.663876	−	1.14987i	−0.979589	−	0.201012i	$-0.935577\pi$
$173$	−8.73192	−	15.1241i	−0.663876	−	1.14987i	0.315713	−	0.948855i	$-0.397756\pi$
$174$	−5.19097	+	0.0190740i	−0.393527	+	0.00144600i
$175$	4.58024	+	1.22727i	0.346233	+	0.0927729i
$176$	−1.97435	−	0.529024i	−0.148822	−	0.0398767i
$177$	−2.75241	+	0.0101136i	−0.206884	+	0.000760185i
$178$	−6.34105	−	10.9830i	−0.475282	−	0.823212i
$179$	0.654352	−	1.13337i	0.0489086	−	0.0847121i	−0.840535	−	0.541758i	$-0.817759\pi$
$179$	0.654352	−	1.13337i	0.0489086	−	0.0847121i	0.889443	+	0.457046i	$0.151092\pi$
$180$	−1.46949	+	0.405346i	−0.109529	+	0.0302127i
$181$			4.39091i			0.326373i	0.986595	+	0.163187i	$0.0521773\pi$
$181$			4.39091i			0.326373i	−0.986595	+	0.163187i	$0.947823\pi$
$182$	3.59108	+	0.322715i	0.266189	+	0.0239212i
$183$	−2.60396	−	2.58489i	−0.192490	−	0.191081i
$184$	−1.83531	−	6.84946i	−0.135301	−	0.504949i
$185$	2.16218	+	1.24833i	0.158966	+	0.0917793i
$186$	−2.59993	+	9.84768i	−0.190636	+	0.722067i
$187$	−0.966568	+	0.966568i	−0.0706824	+	0.0706824i
$188$	−3.35080	+	12.5054i	−0.244383	+	0.912048i
$189$	−2.64752	−	4.47109i	−0.192579	−	0.325224i
$190$	1.15818	+	1.15818i	0.0840230	+	0.0840230i
$191$	14.1764	−	8.18474i	1.02577	−	0.592227i	0.109998	−	0.993932i	$-0.464916\pi$
$191$	14.1764	−	8.18474i	1.02577	−	0.592227i	0.915769	+	0.401705i	$0.131582\pi$
$192$	0.454432	+	1.67137i	0.0327958	+	0.120621i
$193$	−6.50091	+	1.74191i	−0.467946	+	0.125386i	−0.485084	−	0.874467i	$-0.661211\pi$
$193$	−6.50091	+	1.74191i	−0.467946	+	0.125386i	0.0171385	+	0.999853i	$0.494544\pi$
$194$	−17.5758			−1.26187
$195$	−1.81667	+	2.60175i	−0.130094	+	0.186315i
$196$	−1.00000			−0.0714286
$197$	−1.67284	+	0.448237i	−0.119185	+	0.0319356i	−0.317919	−	0.948118i	$-0.602984\pi$
$197$	−1.67284	+	0.448237i	−0.119185	+	0.0319356i	0.198733	+	0.980054i	$0.436317\pi$
$198$	5.33284	+	3.02688i	0.378988	+	0.215111i
$199$	−9.73076	+	5.61806i	−0.689796	+	0.398254i	−0.803535	−	0.595257i	$-0.797050\pi$
$199$	−9.73076	+	5.61806i	−0.689796	+	0.398254i	0.113740	+	0.993511i	$0.463717\pi$
$200$	3.35297	+	3.35297i	0.237091	+	0.237091i
$201$	11.9577	+	20.5367i	0.843432	+	1.44855i
$202$	−1.21928	+	4.55042i	−0.0857884	+	0.320167i
$203$	2.11922	−	2.11922i	0.148740	−	0.148740i
$204$	1.11994	+	0.295682i	0.0784118	+	0.0207019i
$205$	2.53340	+	1.46266i	0.176940	+	0.102156i
$206$	0.0495223	+	0.184820i	0.00345038	+	0.0128770i
$207$	0.156333	+	21.2727i	0.0108659	+	1.47855i
$208$	2.94861	+	2.07502i	0.204449	+	0.143877i
$209$		−	6.58870i		−	0.455750i
$210$	0.437245	−	0.763798i	0.0301727	−	0.0527070i
$211$	3.34979	−	5.80200i	0.230609	−	0.399426i	−0.727378	−	0.686236i	$-0.759262\pi$
$211$	3.34979	−	5.80200i	0.230609	−	0.399426i	0.957987	+	0.286810i	$0.0925948\pi$
$212$	−1.35113	−	2.34022i	−0.0927959	−	0.160727i
$213$	−0.0917023	−	24.9567i	−0.00628334	−	1.71000i
$214$	−10.1653	−	2.72380i	−0.694889	−	0.186195i
$215$	2.31976	+	0.621579i	0.158207	+	0.0423913i
$216$	−0.0572777	−	5.19584i	−0.00389726	−	0.353532i
$217$	−2.94019	−	5.09255i	−0.199593	−	0.345705i
$218$	−0.307751	+	0.533041i	−0.0208435	+	0.0361021i
$219$	−5.32110	−	3.04612i	−0.359567	−	0.205838i
$220$			1.03860i			0.0700225i
$221$	2.18772	−	1.01387i	0.147162	−	0.0682006i
$222$	−5.99563	+	6.03985i	−0.402400	+	0.405369i
$223$	1.47369	+	5.49990i	0.0986858	+	0.368301i	0.997552	−	0.0699217i	$-0.0222750\pi$
$223$	1.47369	+	5.49990i	0.0986858	+	0.368301i	−0.898867	+	0.438222i	$0.855608\pi$
$224$	−0.866025	−	0.500000i	−0.0578638	−	0.0334077i
$225$	−7.20306	−	12.2670i	−0.480204	−	0.817799i
$226$	−4.06486	+	4.06486i	−0.270390	+	0.270390i
$227$	−3.85346	+	14.3813i	−0.255763	+	0.954521i	0.711901	+	0.702280i	$0.247834\pi$
$227$	−3.85346	+	14.3813i	−0.255763	+	0.954521i	−0.967664	+	0.252241i	$0.918832\pi$
$228$	−4.82488	+	2.80933i	−0.319535	+	0.186053i
$229$	10.2552	+	10.2552i	0.677684	+	0.677684i	0.959476	−	0.281791i	$-0.0909286\pi$
$229$	10.2552	+	10.2552i	0.677684	+	0.677684i	−0.281791	+	0.959476i	$0.590929\pi$
$230$	−3.12042	+	1.80158i	−0.205754	+	0.118792i
$231$	−3.41628	+	0.928856i	−0.224775	+	0.0611143i
$232$	2.89491	−	0.775689i	0.190060	−	0.0509265i
$233$	−6.84615			−0.448506			−0.224253	−	0.974531i	$-0.571994\pi$
$233$	−6.84615			−0.448506			−0.224253	+	0.974531i	$0.571994\pi$
$234$	−6.99408	−	8.25124i	−0.457217	−	0.539400i
$235$	6.57843			0.429130
$236$	1.53497	−	0.411293i	0.0999178	−	0.0267729i
$237$	23.5385	−	6.39991i	1.52899	−	0.415719i
$238$	−0.579160	+	0.334378i	−0.0375414	+	0.0216745i
$239$	3.42357	+	3.42357i	0.221452	+	0.221452i	0.809110	−	0.587658i	$-0.199950\pi$
$239$	3.42357	+	3.42357i	0.221452	+	0.221452i	−0.587658	+	0.809110i	$0.699950\pi$
$240$	0.760564	−	0.442846i	0.0490942	−	0.0285856i
$241$	−4.31678	+	16.1105i	−0.278068	+	1.03777i	0.675689	+	0.737187i	$0.263846\pi$
$241$	−4.31678	+	16.1105i	−0.278068	+	1.03777i	−0.953757	+	0.300578i	$0.902820\pi$
$242$	−4.82395	+	4.82395i	−0.310095	+	0.310095i
$243$	−3.75729	+	15.1289i	−0.241030	+	0.970518i
$244$	1.83455	+	1.05918i	0.117445	+	0.0678069i
$245$	0.131512	+	0.490810i	0.00840200	+	0.0313567i
$246$	−7.02501	+	7.07683i	−0.447898	+	0.451202i
$247$	−4.00081	+	10.9120i	−0.254565	+	0.694313i
$248$		−	5.88037i		−	0.373404i
$249$	6.20515	+	3.55221i	0.393235	+	0.225112i
$250$	2.47502	−	4.28687i	0.156534	−	0.271125i
$251$	−8.20582	−	14.2129i	−0.517946	−	0.897110i	−0.999783	−	0.0208483i	$-0.993363\pi$
$251$	−8.20582	−	14.2129i	−0.517946	−	0.897110i	0.481836	−	0.876261i	$-0.339970\pi$
$252$	2.13685	+	2.10567i	0.134609	+	0.132645i
$253$	14.0003	+	3.75136i	0.880189	+	0.235846i
$254$	−21.2709	−	5.69952i	−1.33466	−	0.357620i
$255$	−0.00216266	−	0.588566i	−0.000135431	−	0.0368574i
$256$	−0.500000	−	0.866025i	−0.0312500	−	0.0541266i
$257$	6.66638	−	11.5465i	0.415837	−	0.720251i	−0.579679	−	0.814845i	$-0.696822\pi$
$257$	6.66638	−	11.5465i	0.415837	−	0.720251i	0.995516	+	0.0945940i	$0.0301553\pi$
$258$	−4.06711	+	7.10459i	−0.253207	+	0.442313i
$259$		−	4.91350i		−	0.305310i
$260$	0.630662	−	1.72010i	0.0391120	−	0.106676i
$261$	−8.99085	+	0.0660739i	−0.556520	+	0.00408987i
$262$	−1.33576	−	4.98514i	−0.0825238	−	0.307983i
$263$	−7.54086	−	4.35372i	−0.464989	−	0.268462i	0.249151	−	0.968465i	$-0.419849\pi$
$263$	−7.54086	−	4.35372i	−0.464989	−	0.268462i	−0.714140	+	0.700003i	$0.753182\pi$
$264$	−3.42301	−	0.903726i	−0.210672	−	0.0556205i
$265$	−0.970915	+	0.970915i	−0.0596428	+	0.0596428i
$266$	0.834289	−	3.11361i	0.0511535	−	0.190908i
$267$	−11.0528	−	18.9827i	−0.676423	−	1.16172i
$268$	−9.70175	−	9.70175i	−0.592629	−	0.592629i
$269$	18.8995	−	10.9116i	1.15232	−	0.665295i	0.202872	−	0.979205i	$-0.434972\pi$
$269$	18.8995	−	10.9116i	1.15232	−	0.665295i	0.949453	+	0.313910i	$0.101639\pi$
$270$	−2.54264	+	0.711428i	−0.154740	+	0.0432961i
$271$	−6.40055	+	1.71502i	−0.388806	+	0.104180i	−0.447926	−	0.894071i	$-0.647837\pi$
$271$	−6.40055	+	1.71502i	−0.388806	+	0.104180i	0.0591201	+	0.998251i	$0.481171\pi$
$272$	−0.668756			−0.0405493
$273$	6.22194	+	0.536100i	0.376569	+	0.0324462i
$274$	4.74574			0.286701
$275$	−9.36197	+	2.50853i	−0.564548	+	0.151270i
$276$	−3.22242	−	11.8519i	−0.193967	−	0.713398i
$277$	1.07655	−	0.621545i	0.0646834	−	0.0373450i	−0.467309	−	0.884094i	$-0.654777\pi$
$277$	1.07655	−	0.621545i	0.0646834	−	0.0373450i	0.531993	+	0.846749i	$0.321443\pi$
$278$	6.85334	+	6.85334i	0.411036	+	0.411036i
$279$	−4.44051	+	17.0731i	−0.265846	+	1.02214i
$280$	−0.131512	+	0.490810i	−0.00785935	+	0.0293315i
$281$	−23.6538	+	23.6538i	−1.41107	+	1.41107i	−0.658394	+	0.752674i	$0.728764\pi$
$281$	−23.6538	+	23.6538i	−1.41107	+	1.41107i	−0.752674	+	0.658394i	$0.771236\pi$
$282$	−5.72414	+	21.6811i	−0.340867	+	1.29109i
$283$	−16.5925	−	9.57970i	−0.986323	−	0.569454i	−0.0821500	−	0.996620i	$-0.526179\pi$
$283$	−16.5925	−	9.57970i	−0.986323	−	0.569454i	−0.904173	+	0.427166i	$0.859512\pi$
$284$	3.72928	+	13.9179i	0.221292	+	0.825874i
$285$	2.01338	+	1.99864i	0.119262	+	0.118389i
$286$	−6.68657	+	3.09882i	−0.395385	+	0.183237i
$287$		−	5.75709i		−	0.339830i
$288$	0.797731	+	2.89199i	0.0470068	+	0.170412i
$289$	8.27638	−	14.3351i	0.486846	−	0.843242i
$290$	−0.761431	−	1.31884i	−0.0447128	−	0.0774448i
$291$	−30.4420	+	0.111858i	−1.78454	+	0.00655722i
$292$	3.41930	+	0.916197i	0.200099	+	0.0536164i
$293$	−20.5467	−	5.50546i	−1.20035	−	0.321633i	−0.397381	−	0.917654i	$-0.630081\pi$
$293$	−20.5467	−	5.50546i	−1.20035	−	0.321633i	−0.802969	+	0.596021i	$0.796747\pi$
$294$	−1.73204	+	0.00636431i	−0.101015	+	0.000371174i
$295$	−0.403733	−	0.699287i	−0.0235063	−	0.0407141i
$296$	2.45675	−	4.25522i	0.142796	−	0.247329i
$297$	9.25595	+	5.20874i	0.537085	+	0.302242i
$298$			11.9143i			0.690176i
$299$	−20.9088	−	14.7141i	−1.20919	−	0.850941i
$300$	5.82881	+	5.78613i	0.336526	+	0.334062i
$301$	−1.22328	−	4.56535i	−0.0705088	−	0.263143i
$302$	9.65625	+	5.57504i	0.555655	+	0.320807i
$303$	−2.08289	+	7.88927i	−0.119659	+	0.453227i
$304$	2.27932	−	2.27932i	0.130728	−	0.130728i
$305$	0.278589	−	1.03971i	0.0159520	−	0.0595336i
$306$	1.94167	+	0.505005i	0.110998	+	0.0288692i
$307$	5.73682	+	5.73682i	0.327418	+	0.327418i	0.851604	−	0.524186i	$-0.175630\pi$
$307$	5.73682	+	5.73682i	0.327418	+	0.327418i	−0.524186	+	0.851604i	$0.675630\pi$
$308$	1.77015	−	1.02200i	0.100864	−	0.0582337i
$309$	0.0869508	+	0.319800i	0.00494646	+	0.0181928i
$310$	−2.88615	+	0.773341i	−0.163922	+	0.0439228i
$311$	31.1579			1.76681			0.883403	−	0.468615i	$-0.155247\pi$
$311$	31.1579			1.76681			0.883403	+	0.468615i	$0.155247\pi$
$312$	5.12031	+	3.57525i	0.289881	+	0.202409i
$313$	13.4053			0.757712			0.378856	−	0.925456i	$-0.376318\pi$
$313$	13.4053			0.757712			0.378856	+	0.925456i	$0.376318\pi$
$314$	15.8534	−	4.24791i	0.894659	−	0.239723i
$315$	0.752464	−	1.32571i	0.0423965	−	0.0746953i
$316$	−12.1965	+	7.04165i	−0.686107	+	0.396124i
$317$	−0.227144	−	0.227144i	−0.0127577	−	0.0127577i	0.700699	−	0.713457i	$-0.252872\pi$
$317$	−0.227144	−	0.227144i	−0.0127577	−	0.0127577i	−0.713457	+	0.700699i	$0.752872\pi$
$318$	−2.35510	−	4.04476i	−0.132068	−	0.226819i
$319$	−1.58550	+	5.91718i	−0.0887711	+	0.331298i
$320$	−0.359298	+	0.359298i	−0.0200854	+	0.0200854i
$321$	−17.6241	−	4.65303i	−0.983682	−	0.259707i
$322$	6.14106	+	3.54554i	0.342228	+	0.197585i
$323$	−0.557936	−	2.08224i	−0.0310444	−	0.115859i
$324$	−0.132275	−	8.99903i	−0.00734862	−	0.499946i
$325$	17.0282	+	1.53025i	0.944556	+	0.0848831i
$326$		−	10.8066i		−	0.598521i
$327$	−0.529645	+	0.925206i	−0.0292894	+	0.0511640i
$328$	2.87854	−	4.98579i	0.158941	−	0.275294i
$329$	−6.47326	−	11.2120i	−0.356882	−	0.618138i
$330$	0.00660998	+	1.79890i	0.000363867	+	0.0990261i
$331$	16.7569	+	4.49001i	0.921045	+	0.246793i	0.688032	−	0.725681i	$-0.258475\pi$
$331$	16.7569	+	4.49001i	0.921045	+	0.246793i	0.233013	+	0.972474i	$0.425142\pi$
$332$	−3.98738	−	1.06841i	−0.218836	−	0.0586369i
$333$	−10.3462	+	10.4994i	−0.566970	+	0.575365i
$334$	−2.90821	−	5.03717i	−0.159130	−	0.275622i
$335$	−3.48582	+	6.03761i	−0.190451	+	0.329870i
$336$	−1.50317	−	0.860508i	−0.0820048	−	0.0469446i
$337$			27.8659i			1.51795i	0.651119	+	0.758976i	$0.274300\pi$
$337$			27.8659i			1.51795i	−0.651119	+	0.758976i	$0.725700\pi$
$338$	12.9557	−	1.07193i	0.704699	−	0.0583051i
$339$	−7.01462	+	7.06636i	−0.380982	+	0.383792i
$340$	0.0879495	+	0.328232i	0.00476973	+	0.0178009i
$341$	10.4091	+	6.00972i	0.563687	+	0.325445i
$342$	−8.33900	+	4.89658i	−0.450921	+	0.264777i
$343$	0.707107	−	0.707107i	0.0381802	−	0.0381802i
$344$	1.22328	−	4.56535i	0.0659550	−	0.246147i
$345$	−5.39322	+	3.14026i	−0.290361	+	0.169066i
$346$	12.3488	+	12.3488i	0.663876	+	0.663876i
$347$	26.0998	−	15.0687i	1.40111	−	0.808932i	0.406605	−	0.913604i	$-0.366713\pi$
$347$	26.0998	−	15.0687i	1.40111	−	0.808932i	0.994507	+	0.104672i	$0.0333792\pi$
$348$	5.00916	−	1.36195i	0.268519	−	0.0730080i
$349$	−20.9974	+	5.62624i	−1.12397	+	0.301166i	−0.772488	−	0.635030i	$-0.780988\pi$
$349$	−20.9974	+	5.62624i	−1.12397	+	0.301166i	−0.351479	+	0.936196i	$0.614321\pi$
$350$	−4.74181			−0.253460
$351$	−12.1665	−	14.2470i	−0.649401	−	0.760446i
$352$	2.04399			0.108945
$353$	−1.42334	+	0.381382i	−0.0757565	+	0.0202989i	−0.296498	−	0.955033i	$-0.595819\pi$
$353$	−1.42334	+	0.381382i	−0.0757565	+	0.0202989i	0.220742	+	0.975332i	$0.429152\pi$
$354$	2.65600	−	0.722145i	0.141165	−	0.0383816i
$355$	6.34059	−	3.66074i	0.336523	−	0.194292i
$356$	8.96760	+	8.96760i	0.475282	+	0.475282i
$357$	−1.00100	+	0.582842i	−0.0529785	+	0.0308473i
$358$	−0.338717	+	1.26411i	−0.0179018	+	0.0668103i
$359$	14.7360	−	14.7360i	0.777736	−	0.777736i	−0.201709	−	0.979445i	$-0.564650\pi$
$359$	14.7360	−	14.7360i	0.777736	−	0.777736i	0.979445	+	0.201709i	$0.0646497\pi$
$360$	1.31451	−	0.771867i	0.0692806	−	0.0406809i
$361$	−7.45596	−	4.30470i	−0.392419	−	0.226563i
$362$	−1.13645	−	4.24129i	−0.0597305	−	0.222917i
$363$	−8.32456	+	8.38596i	−0.436926	+	0.440149i
$364$	−3.55224	+	0.617721i	−0.186188	+	0.0323774i
$365$		−	1.79872i		−	0.0941491i
$366$	3.18425	+	1.82286i	0.166443	+	0.0952824i
$367$	2.93561	−	5.08463i	0.153238	−	0.265416i	−0.779178	−	0.626803i	$-0.784363\pi$
$367$	2.93561	−	5.08463i	0.153238	−	0.265416i	0.932416	+	0.361387i	$0.117697\pi$
$368$	3.54554	+	6.14106i	0.184824	+	0.320125i
$369$	−12.1226	+	12.3020i	−0.631075	+	0.640419i
$370$	−2.41159	−	0.646185i	−0.125373	−	0.0335936i
$371$	2.61018	+	0.699396i	0.135514	+	0.0363108i
$372$	−0.0374245	−	10.1850i	−0.00194037	−	0.528070i
$373$	1.11041	+	1.92328i	0.0574948	+	0.0995838i	0.893340	−	0.449381i	$-0.148355\pi$
$373$	1.11041	+	1.92328i	0.0574948	+	0.0995838i	−0.835845	+	0.548965i	$0.815022\pi$
$374$	0.683467	−	1.18380i	0.0353412	−	0.0612128i
$375$	4.25955	−	7.44077i	0.219962	−	0.384240i
$376$		−	12.9465i		−	0.667665i
$377$	6.21890	−	8.83707i	0.320289	−	0.455132i
$378$	3.71451	+	3.63351i	0.191054	+	0.186888i
$379$	−2.50830	−	9.36112i	−0.128843	−	0.480849i	0.871105	−	0.491098i	$-0.163404\pi$
$379$	−2.50830	−	9.36112i	−0.128843	−	0.480849i	−0.999947	+	0.0102492i	$0.996738\pi$
$380$	−1.41847	−	0.818955i	−0.0727660	−	0.0420115i
$381$	−36.8783	−	9.73642i	−1.88933	−	0.498812i
$382$	−11.5750	+	11.5750i	−0.592227	+	0.592227i
$383$	2.19974	−	8.20953i	0.112401	−	0.419487i	−0.886678	−	0.462387i	$-0.846993\pi$
$383$	2.19974	−	8.20953i	0.112401	−	0.419487i	0.999079	+	0.0428999i	$0.0136597\pi$
$384$	−0.871531	−	1.49681i	−0.0444751	−	0.0763836i
$385$	−0.734402	−	0.734402i	−0.0374286	−	0.0374286i
$386$	5.82856	−	3.36512i	0.296666	−	0.171280i
$387$	−6.99917	+	12.3313i	−0.355788	+	0.626836i
$388$	16.9769	−	4.54895i	0.861872	−	0.230938i
$389$	0.833952			0.0422830			0.0211415	−	0.999776i	$-0.493270\pi$
$389$	0.833952			0.0422830			0.0211415	+	0.999776i	$0.493270\pi$
$390$	1.08138	−	2.98329i	0.0547580	−	0.151065i
$391$	4.74221			0.239824
$392$	0.965926	−	0.258819i	0.0487866	−	0.0130723i
$393$	−2.34532	−	8.62595i	−0.118306	−	0.435122i
$394$	1.49983	−	0.865928i	0.0755604	−	0.0436248i
$395$	5.06010	+	5.06010i	0.254601	+	0.254601i
$396$	−5.93454	−	1.54350i	−0.298222	−	0.0775640i
$397$	−8.12662	+	30.3290i	−0.407863	+	1.52217i	0.390849	+	0.920455i	$0.372181\pi$
$397$	−8.12662	+	30.3290i	−0.407863	+	1.52217i	−0.798713	+	0.601713i	$0.794485\pi$
$398$	7.94514	−	7.94514i	0.398254	−	0.398254i
$399$	1.42521	−	5.39820i	0.0713495	−	0.270248i
$400$	−4.10653	−	2.37091i	−0.205326	−	0.118545i
$401$	3.71231	+	13.8545i	0.185384	+	0.691863i	0.994548	+	0.104280i	$0.0332537\pi$
$401$	3.71231	+	13.8545i	0.185384	+	0.691863i	−0.809164	+	0.587583i	$0.800080\pi$
$402$	−16.8656	−	16.7421i	−0.841177	−	0.835018i
$403$	−13.5900	−	16.2738i	−0.676968	−	0.810654i
$404$		−	4.71095i		−	0.234378i
$405$	−4.39942	+	1.24840i	−0.218609	+	0.0620337i
$406$	−1.49852	+	2.59550i	−0.0743701	+	0.128813i
$407$	5.02158	+	8.69763i	0.248911	+	0.431126i
$408$	−1.15831	+	0.00425617i	−0.0573450	+	0.000210712i
$409$	−0.226783	−	0.0607664i	−0.0112137	−	0.00300470i	0.253208	−	0.967412i	$-0.418514\pi$
$409$	−0.226783	−	0.0607664i	−0.0112137	−	0.00300470i	−0.264422	+	0.964407i	$0.585181\pi$
$410$	−2.82564	−	0.757127i	−0.139548	−	0.0373918i
$411$	8.21981	−	0.0302034i	0.405453	−	0.00148982i
$412$	−0.0956697	−	0.165705i	−0.00471331	−	0.00816369i
$413$	−0.794557	+	1.37621i	−0.0390976	+	0.0677190i
$414$	−5.65678	−	20.5074i	−0.278016	−	1.00788i
$415$			2.09755i			0.102965i
$416$	−3.38519	−	1.24116i	−0.165973	−	0.0608528i
$417$	11.9139	+	11.8266i	0.583425	+	0.579153i
$418$	1.70528	+	6.36420i	0.0834080	+	0.311283i
$419$	21.0709	+	12.1653i	1.02938	+	0.594312i	0.916807	−	0.399331i	$-0.130758\pi$
$419$	21.0709	+	12.1653i	1.02938	+	0.594312i	0.112573	+	0.993644i	$0.464091\pi$
$420$	−0.224661	+	0.850939i	−0.0109623	+	0.0415216i
$421$	24.3907	−	24.3907i	1.18873	−	1.18873i	0.211312	−	0.977419i	$-0.432226\pi$
$421$	24.3907	−	24.3907i	1.18873	−	1.18873i	0.977419	−	0.211312i	$-0.0677735\pi$
$422$	−1.73398	+	6.47130i	−0.0844087	+	0.315018i
$423$	−9.77644	+	37.5890i	−0.475347	+	1.82764i
$424$	1.91078	+	1.91078i	0.0927959	+	0.0927959i
$425$	−2.74627	+	1.58556i	−0.133213	+	0.0769108i
$426$	6.54784	+	24.0826i	0.317244	+	1.16680i
$427$	−2.04617	+	0.548270i	−0.0990212	+	0.0265327i
$428$	10.5239			0.508694
$429$	−11.5617	+	5.40983i	−0.558203	+	0.261189i
$430$	−2.40160			−0.115815
$431$	−8.73059	+	2.33935i	−0.420538	+	0.112683i	−0.462881	−	0.886420i	$-0.653184\pi$
$431$	−8.73059	+	2.33935i	−0.420538	+	0.112683i	0.0423435	+	0.999103i	$0.486518\pi$
$432$	1.40011	+	5.00397i	0.0673627	+	0.240754i
$433$	6.82739	−	3.94180i	0.328104	−	0.189431i	−0.326895	−	0.945061i	$-0.606002\pi$
$433$	6.82739	−	3.94180i	0.328104	−	0.189431i	0.654999	+	0.755630i	$0.272669\pi$
$434$	4.15805	+	4.15805i	0.199593	+	0.199593i
$435$	−1.32722	−	2.27943i	−0.0636354	−	0.109290i
$436$	0.159304	−	0.594529i	0.00762926	−	0.0284728i
$437$	−16.1629	+	16.1629i	−0.773174	+	0.773174i
$438$	5.92818	+	1.56513i	0.283260	+	0.0747847i
$439$	−25.2760	−	14.5931i	−1.20636	−	0.696490i	−0.244395	−	0.969676i	$-0.578589\pi$
$439$	−25.2760	−	14.5931i	−1.20636	−	0.696490i	−0.961961	+	0.273185i	$0.911923\pi$
$440$	−0.268810	−	1.00321i	−0.0128150	−	0.0478263i
$441$	−2.99992	+	0.0220465i	−0.142853	+	0.00104983i
$442$	−1.85076	+	1.54555i	−0.0880318	+	0.0735144i
$443$		−	32.1997i		−	1.52985i	−0.644118	−	0.764926i	$-0.722775\pi$
$443$		−	32.1997i		−	1.52985i	0.644118	−	0.764926i	$-0.277225\pi$
$444$	4.22811	−	7.38584i	0.200657	−	0.350516i
$445$	3.22204	−	5.58074i	0.152739	−	0.264552i
$446$	−2.84696	−	4.93107i	−0.134807	−	0.233493i
$447$	0.0758261	+	20.6360i	0.00358645	+	0.976049i
$448$	0.965926	+	0.258819i	0.0456357	+	0.0122281i
$449$	33.3902	+	8.94687i	1.57578	+	0.422229i	0.937616	−	0.347672i	$-0.113028\pi$
$449$	33.3902	+	8.94687i	1.57578	+	0.422229i	0.638163	+	0.769901i	$0.279695\pi$
$450$	10.1325	+	9.98471i	0.477653	+	0.470684i
$451$	5.88373	+	10.1909i	0.277054	+	0.479871i
$452$	2.87429	−	4.97841i	0.135195	−	0.234165i
$453$	16.7605	+	9.59473i	0.787476	+	0.450800i
$454$		−	14.8886i		−	0.698758i
$455$	0.770347	+	1.66224i	0.0361144	+	0.0779269i
$456$	3.93337	−	3.96238i	0.184197	−	0.185555i
$457$	1.11579	+	4.16420i	0.0521946	+	0.194793i	0.987100	−	0.160103i	$-0.0511828\pi$
$457$	1.11579	+	4.16420i	0.0521946	+	0.194793i	−0.934906	+	0.354896i	$0.884516\pi$
$458$	−12.5600	−	7.25154i	−0.586892	−	0.338842i
$459$	3.36626	+	0.862331i	0.157124	+	0.0402502i
$460$	2.54781	−	2.54781i	0.118792	−	0.118792i
$461$	4.57904	−	17.0892i	0.213267	−	0.795924i	−0.773502	−	0.633794i	$-0.781497\pi$
$461$	4.57904	−	17.0892i	0.213267	−	0.795924i	0.986769	−	0.162130i	$-0.0518364\pi$
$462$	3.05947	−	1.78140i	0.142339	−	0.0828784i
$463$	−29.3911	−	29.3911i	−1.36592	−	1.36592i	−0.866167	−	0.499755i	$-0.833423\pi$
$463$	−29.3911	−	29.3911i	−1.36592	−	1.36592i	−0.499755	−	0.866167i	$-0.666577\pi$
$464$	−2.59550	+	1.49852i	−0.120493	+	0.0695668i
$465$	−4.99400	+	1.35782i	−0.231591	+	0.0629676i
$466$	6.61287	−	1.77191i	0.306335	−	0.0820823i
$467$	−17.9717			−0.831629			−0.415814	−	0.909449i	$-0.636503\pi$
$467$	−17.9717			−0.831629			−0.415814	+	0.909449i	$0.636503\pi$
$468$	8.89134	+	6.15988i	0.411002	+	0.284741i
$469$	13.7203			0.633547
$470$	−6.35428	+	1.70262i	−0.293101	+	0.0785362i
$471$	27.4317	−	7.45843i	1.26398	−	0.343667i
$472$	−1.37621	+	0.794557i	−0.0633453	+	0.0365725i
$473$	6.83117	+	6.83117i	0.314098	+	0.314098i
$474$	−21.0800	+	12.2740i	−0.968236	+	0.563765i
$475$	3.95604	−	14.7641i	0.181516	−	0.677425i
$476$	0.472882	−	0.472882i	0.0216745	−	0.0216745i
$477$	−4.10487	−	6.99069i	−0.187949	−	0.320082i
$478$	−4.19300	−	2.42083i	−0.191783	−	0.110726i
$479$	1.26728	+	4.72955i	0.0579035	+	0.216099i	0.988815	−	0.149145i	$-0.0476522\pi$
$479$	1.26728	+	4.72955i	0.0579035	+	0.216099i	−0.930912	+	0.365244i	$0.880986\pi$
$480$	−0.620031	+	0.624605i	−0.0283004	+	0.0285092i
$481$	−3.03517	−	17.4539i	−0.138392	−	0.795831i
$482$		−	16.6788i		−	0.759697i
$483$	10.6591	+	6.10194i	0.485007	+	0.277648i
$484$	3.41105	−	5.90810i	0.155048	−	0.268550i
$485$	−4.46534	−	7.73419i	−0.202761	−	0.351192i
$486$	−0.286378	−	15.5858i	−0.0129904	−	0.706987i
$487$	21.1774	+	5.67448i	0.959641	+	0.257135i	0.704448	−	0.709755i	$-0.251194\pi$
$487$	21.1774	+	5.67448i	0.959641	+	0.257135i	0.255193	+	0.966890i	$0.417861\pi$
$488$	−2.04617	−	0.548270i	−0.0926259	−	0.0248190i
$489$	−0.0687764	−	18.7174i	−0.00311018	−	0.846431i
$490$	−0.254062	−	0.440048i	−0.0114773	−	0.0198794i
$491$	−13.1003	+	22.6905i	−0.591210	+	1.02401i	0.402859	+	0.915262i	$0.368016\pi$
$491$	−13.1003	+	22.6905i	−0.591210	+	1.02401i	−0.994070	+	0.108744i	$0.965317\pi$
$492$	4.95402	−	8.65390i	0.223345	−	0.390148i
$493$			2.00428i			0.0902683i
$494$	1.04025	−	11.5756i	0.0468032	−	0.520813i
$495$	0.0228975	+	3.11572i	0.00102917	+	0.140041i
$496$	1.52195	+	5.68001i	0.0683377	+	0.255040i
$497$	−12.4784	−	7.20442i	−0.559734	−	0.323163i
$498$	−6.91309	−	1.82516i	−0.309783	−	0.0817873i
$499$	8.49382	−	8.49382i	0.380236	−	0.380236i	−0.490951	−	0.871187i	$-0.663351\pi$
$499$	8.49382	−	8.49382i	0.380236	−	0.380236i	0.871187	+	0.490951i	$0.163351\pi$
$500$	−1.28117	+	4.78138i	−0.0572955	+	0.213830i
$501$	−5.06920	−	8.70607i	−0.226475	−	0.388959i
$502$	11.6048	+	11.6048i	0.517946	+	0.517946i
$503$	34.4202	−	19.8725i	1.53472	−	0.886071i	0.535586	−	0.844481i	$-0.320091\pi$
$503$	34.4202	−	19.8725i	1.53472	−	0.886071i	0.999135	−	0.0415906i	$-0.0132425\pi$
$504$	−2.60903	−	1.48087i	−0.116215	−	0.0659630i
$505$	−2.31218	+	0.619547i	−0.102891	+	0.0275695i
$506$	−14.4941			−0.644343
$507$	22.4330	−	1.93907i	0.996285	−	0.0861172i
$508$	22.0213			0.977036
$509$	31.9237	−	8.55392i	1.41499	−	0.379146i	0.531287	−	0.847192i	$-0.321709\pi$
$509$	31.9237	−	8.55392i	1.41499	−	0.379146i	0.883704	+	0.468046i	$0.155042\pi$
$510$	0.154421	+	0.567951i	0.00683788	+	0.0251493i
$511$	−3.06566	+	1.76996i	−0.135617	+	0.0782983i
$512$	0.707107	+	0.707107i	0.0312500	+	0.0312500i
$513$	−14.4123	+	8.53414i	−0.636319	+	0.376792i
$514$	−3.45077	+	12.8785i	−0.152207	+	0.568044i
$515$	−0.0687479	+	0.0687479i	−0.00302939	+	0.00302939i
$516$	2.08972	−	7.91516i	0.0919947	−	0.348445i
$517$	22.9173	+	13.2313i	1.00790	+	0.581912i
$518$	1.27171	+	4.74608i	0.0558756	+	0.208531i
$519$	21.4672	+	21.3100i	0.942306	+	0.935406i
$520$	−0.163979	+	1.82471i	−0.00719096	+	0.0800190i
$521$			20.4603i			0.896381i	0.893938	+	0.448190i	$0.147931\pi$
$521$			20.4603i			0.896381i	−0.893938	+	0.448190i	$0.852069\pi$
$522$	8.66739	−	2.39083i	0.379361	−	0.104644i
$523$	11.3094	−	19.5884i	0.494524	−	0.856541i	−0.505456	−	0.862852i	$-0.668676\pi$
$523$	11.3094	−	19.5884i	0.494524	−	0.856541i	0.999980	+	0.00631162i	$0.00200906\pi$
$524$	2.58050	+	4.46955i	0.112730	+	0.195253i
$525$	−8.21300	+	0.0301783i	−0.358445	+	0.00131709i
$526$	8.41073	+	2.25365i	0.366725	+	0.0982638i
$527$	3.79854	+	1.01782i	0.165467	+	0.0443367i
$528$	3.54028	−	0.0130086i	0.154071	−	0.000566127i
$529$	−13.6418	−	23.6282i	−0.593120	−	1.02731i
$530$	0.686541	−	1.18912i	0.0298214	−	0.0516522i
$531$	4.59571	−	1.26769i	0.199437	−	0.0550129i
$532$			3.22345i			0.139754i
$533$	−3.55628	−	20.4506i	−0.154039	−	0.885813i
$534$	15.5893	+	15.4752i	0.674615	+	0.669676i
$535$	−1.38403	−	5.16526i	−0.0598367	−	0.223313i
$536$	11.8822	+	6.86017i	0.513232	+	0.296314i
$537$	−0.578627	+	2.19165i	−0.0249696	+	0.0945765i
$538$	−15.4314	+	15.4314i	−0.665295	+	0.665295i
$539$	−0.529024	+	1.97435i	−0.0227867	+	0.0850411i
$540$	2.27187	−	1.34527i	0.0977656	−	0.0578912i
$541$	16.0800	+	16.0800i	0.691332	+	0.691332i	0.962525	−	0.271193i	$-0.0874181\pi$
$541$	16.0800	+	16.0800i	0.691332	+	0.691332i	−0.271193	+	0.962525i	$0.587418\pi$
$542$	5.73858	−	3.31317i	0.246493	−	0.142313i
$543$	−1.99537	−	7.33885i	−0.0856295	−	0.314940i
$544$	0.645969	−	0.173087i	0.0276957	−	0.00742104i
$545$	−0.312751			−0.0133968
$546$	−6.14869	+	1.09253i	−0.263140	+	0.0467558i
$547$	36.6890			1.56871			0.784354	−	0.620314i	$-0.212995\pi$
$547$	36.6890			1.56871			0.784354	+	0.620314i	$0.212995\pi$
$548$	−4.58404	+	1.22829i	−0.195820	+	0.0524699i
$549$	5.52685	+	3.13700i	0.235880	+	0.133884i
$550$	8.39372	−	4.84611i	0.357909	−	0.206639i
$551$	−6.83119	−	6.83119i	−0.291019	−	0.291019i
$552$	6.18010	+	10.6140i	0.263043	+	0.451762i
$553$	3.64503	−	13.6034i	0.155002	−	0.578477i
$554$	−0.878997	+	0.878997i	−0.0373450	+	0.0373450i
$555$	−4.18109	−	1.10387i	−0.177477	−	0.0468566i
$556$	−8.39360	−	4.84605i	−0.355968	−	0.205518i
$557$	9.02390	+	33.6777i	0.382355	+	1.42697i	0.842294	+	0.539018i	$0.181205\pi$
$557$	9.02390	+	33.6777i	0.382355	+	1.42697i	−0.459939	+	0.887950i	$0.652129\pi$
$558$	−0.129641	−	17.6406i	−0.00548816	−	0.746788i
$559$	−7.16551	−	15.4616i	−0.303069	−	0.653956i
$560$		−	0.508124i		−	0.0214722i
$561$	1.17626	−	2.05474i	0.0496616	−	0.0867510i
$562$	16.7258	−	28.9699i	0.705534	−	1.22202i
$563$	14.1837	+	24.5669i	0.597772	+	1.03537i	0.993149	+	0.116853i	$0.0372805\pi$
$563$	14.1837	+	24.5669i	0.597772	+	1.03537i	−0.395377	+	0.918519i	$0.629386\pi$
$564$	−0.0823956	−	22.4239i	−0.00346948	−	0.944215i
$565$	−2.82146	−	0.756008i	−0.118700	−	0.0318055i
$566$	18.5066	+	4.95882i	0.777889	+	0.208435i
$567$	6.45681	+	6.26974i	0.271160	+	0.263304i
$568$	−7.20442	−	12.4784i	−0.302291	−	0.523583i
$569$	−7.99602	+	13.8495i	−0.335211	+	0.580602i	−0.983525	−	0.180771i	$-0.942141\pi$
$569$	−7.99602	+	13.8495i	−0.335211	+	0.580602i	0.648315	+	0.761373i	$0.275474\pi$
$570$	−2.46206	−	1.40943i	−0.103124	−	0.0590347i
$571$			2.03247i			0.0850562i	0.999095	+	0.0425281i	$0.0135412\pi$
$571$			2.03247i			0.0850562i	−0.999095	+	0.0425281i	$0.986459\pi$
$572$	5.65669	−	4.72384i	0.236518	−	0.197514i
$573$	−19.9746	+	20.1220i	−0.834452	+	0.840607i
$574$	1.49004	+	5.56092i	0.0621932	+	0.232108i
$575$	29.1197	+	16.8123i	1.21438	+	0.701121i
$576$	−1.51905	−	2.58698i	−0.0632938	−	0.107791i
$577$	9.51377	−	9.51377i	0.396063	−	0.396063i	−0.480779	−	0.876842i	$-0.659646\pi$
$577$	9.51377	−	9.51377i	0.396063	−	0.396063i	0.876842	+	0.480779i	$0.159646\pi$
$578$	−4.28417	+	15.9887i	−0.178198	+	0.665044i
$579$	10.0739	−	5.86561i	0.418656	−	0.243767i
$580$	1.07683	+	1.07683i	0.0447128	+	0.0447128i
$581$	3.57498	−	2.06402i	0.148315	−	0.0856299i
$582$	29.3757	−	7.98700i	1.21766	−	0.331072i
$583$	−5.33519	+	1.42956i	−0.220961	+	0.0592063i
$584$	−3.53991			−0.146483
$585$	1.85401	−	5.17406i	0.0766540	−	0.213921i
$586$	21.2715			0.878717
$587$	−39.8579	+	10.6799i	−1.64511	+	0.440806i	−0.958238	−	0.285972i	$-0.907683\pi$
$587$	−39.8579	+	10.6799i	−1.64511	+	0.440806i	−0.686872	+	0.726778i	$0.741017\pi$
$588$	1.67137	−	0.454432i	0.0689263	−	0.0187405i
$589$	−16.4156	+	9.47753i	−0.676392	+	0.390515i
$590$	0.570965	+	0.570965i	0.0235063	+	0.0235063i
$591$	2.59226	−	1.50937i	0.106631	−	0.0620870i
$592$	−1.27171	+	4.74608i	−0.0522668	+	0.195063i
$593$	4.52692	−	4.52692i	0.185898	−	0.185898i	−0.608022	−	0.793920i	$-0.708037\pi$
$593$	4.52692	−	4.52692i	0.185898	−	0.185898i	0.793920	+	0.608022i	$0.208037\pi$
$594$	−10.2887	−	2.63564i	−0.422150	−	0.108142i
$595$	−0.294285	−	0.169905i	−0.0120645	−	0.00696544i
$596$	−3.08364	−	11.5083i	−0.126311	−	0.471399i
$597$	13.7107	−	13.8119i	0.561142	−	0.565281i
$598$	24.0047	+	8.80116i	0.981625	+	0.359906i
$599$			32.9531i			1.34643i	0.739448	+	0.673214i	$0.235087\pi$
$599$			32.9531i			1.34643i	−0.739448	+	0.673214i	$0.764913\pi$
$600$	−7.12776	−	4.08037i	−0.290989	−	0.166580i
$601$	−19.0163	+	32.9371i	−0.775690	+	1.34353i	0.158717	+	0.987324i	$0.449264\pi$
$601$	−19.0163	+	32.9371i	−0.775690	+	1.34353i	−0.934406	+	0.356210i	$0.884069\pi$
$602$	2.36320	+	4.09318i	0.0963169	+	0.166826i
$603$	−29.3184	−	28.8906i	−1.19394	−	1.17652i
$604$	−10.7701	−	2.88585i	−0.438231	−	0.117424i
$605$	−3.34835	−	0.897188i	−0.136130	−	0.0364759i
$606$	−0.0299819	−	8.15954i	−0.00121793	−	0.331459i
$607$	−20.3316	−	35.2153i	−0.825233	−	1.42934i	−0.901741	−	0.432276i	$-0.857711\pi$
$607$	−20.3316	−	35.2153i	−0.825233	−	1.42934i	0.0765089	−	0.997069i	$-0.475623\pi$
$608$	−1.61172	+	2.79159i	−0.0653640	+	0.113214i
$609$	−2.57897	+	4.50505i	−0.104505	+	0.182554i
$610$			1.07639i			0.0435816i
$611$	−29.9205	−	35.8291i	−1.21045	−	1.44949i
$612$	−2.00621	+	0.0147437i	−0.0810964	+	0.000595979i
$613$	−7.46839	−	27.8724i	−0.301645	−	1.12576i	−0.935795	−	0.352545i	$-0.885316\pi$
$613$	−7.46839	−	27.8724i	−0.301645	−	1.12576i	0.634149	−	0.773211i	$-0.281350\pi$
$614$	−7.02615	−	4.05655i	−0.283552	−	0.163709i
$615$	−4.89893	−	1.29339i	−0.197544	−	0.0521545i
$616$	−1.44532	+	1.44532i	−0.0582337	+	0.0582337i
$617$	−2.33842	+	8.72710i	−0.0941413	+	0.351340i	−0.996888	−	0.0788328i	$-0.974881\pi$
$617$	−2.33842	+	8.72710i	−0.0941413	+	0.351340i	0.902747	+	0.430173i	$0.141547\pi$
$618$	−0.166758	−	0.286398i	−0.00670800	−	0.0115206i
$619$	23.1859	+	23.1859i	0.931919	+	0.931919i	0.997826	−	0.0659070i	$-0.0209941\pi$
$619$	23.1859	+	23.1859i	0.931919	+	0.931919i	−0.0659070	+	0.997826i	$0.520994\pi$
$620$	2.58765	−	1.49398i	0.103922	−	0.0599997i
$621$	−9.92828	−	35.4836i	−0.398408	−	1.42391i
$622$	−30.0963	+	8.06427i	−1.20675	+	0.323348i
$623$	−12.6821			−0.508098
$624$	−5.87118	−	2.12819i	−0.235035	−	0.0851958i
$625$	−21.1938			−0.847753
$626$	−12.9485	+	3.46954i	−0.517527	+	0.138671i
$627$	2.99412	+	11.0122i	0.119574	+	0.439784i
$628$	−14.2138	+	8.20632i	−0.567191	+	0.327468i
$629$	2.32351	+	2.32351i	0.0926442	+	0.0926442i
$630$	−0.383705	+	1.47529i	−0.0152872	+	0.0587769i
$631$	−1.17310	+	4.37806i	−0.0467003	+	0.174288i	−0.985337	−	0.170620i	$-0.945423\pi$
$631$	−1.17310	+	4.37806i	−0.0467003	+	0.174288i	0.938637	+	0.344908i	$0.112090\pi$
$632$	9.95840	−	9.95840i	0.396124	−	0.396124i
$633$	−2.96213	+	11.2196i	−0.117734	+	0.445938i
$634$	0.278194	+	0.160615i	0.0110485	+	0.00637884i
$635$	−2.89606	−	10.8083i	−0.114927	−	0.428913i
$636$	3.32171	+	3.29739i	0.131715	+	0.130750i
$637$	2.07502	−	2.94861i	0.0822153	−	0.116828i
$638$		−	6.12591i		−	0.242527i
$639$	11.4944	+	41.6703i	0.454711	+	1.64845i
$640$	0.254062	−	0.440048i	0.0100427	−	0.0173944i
$641$	10.0179	+	17.3515i	0.395682	+	0.685342i	0.993188	−	0.116523i	$-0.0371748\pi$
$641$	10.0179	+	17.3515i	0.395682	+	0.685342i	−0.597506	+	0.801865i	$0.703841\pi$
$642$	18.2279	−	0.0669776i	0.719397	−	0.00264339i
$643$	−22.0771	−	5.91555i	−0.870637	−	0.233287i	−0.204274	−	0.978914i	$-0.565483\pi$
$643$	−22.0771	−	5.91555i	−0.870637	−	0.233287i	−0.666363	+	0.745627i	$0.732150\pi$
$644$	−6.84946	−	1.83531i	−0.269907	−	0.0723213i
$645$	−4.15966	+	0.0152845i	−0.163786	+	0.000601827i
$646$	1.07785	+	1.86689i	0.0424074	+	0.0734518i
$647$	−19.5964	+	33.9420i	−0.770415	+	1.33440i	0.166921	+	0.985970i	$0.446617\pi$
$647$	−19.5964	+	33.9420i	−0.770415	+	1.33440i	−0.937336	+	0.348427i	$0.886716\pi$
$648$	2.45689	+	8.65816i	0.0965157	+	0.340125i
$649$		−	3.24814i		−	0.127501i
$650$	−16.8441	+	2.92912i	−0.660678	+	0.114889i
$651$	7.22837	+	7.17545i	0.283302	+	0.281228i
$652$	2.79695	+	10.4384i	0.109537	+	0.408797i
$653$	17.6224	+	10.1743i	0.689619	+	0.398152i	0.803469	−	0.595346i	$-0.202985\pi$
$653$	17.6224	+	10.1743i	0.689619	+	0.398152i	−0.113850	+	0.993498i	$0.536318\pi$
$654$	0.272136	−	1.03076i	0.0106414	−	0.0403060i
$655$	1.85433	−	1.85433i	0.0724548	−	0.0724548i
$656$	−1.49004	+	5.56092i	−0.0581765	+	0.217117i
$657$	10.2778	+	2.67313i	0.400975	+	0.104289i
$658$	9.15457	+	9.15457i	0.356882	+	0.356882i
$659$	−14.3376	+	8.27782i	−0.558514	+	0.322458i	−0.752549	−	0.658537i	$-0.771176\pi$
$659$	−14.3376	+	8.27782i	−0.558514	+	0.322458i	0.194035	+	0.980995i	$0.437842\pi$
$660$	−0.471974	−	1.73589i	−0.0183716	−	0.0675695i
$661$	−34.0537	+	9.12465i	−1.32453	+	0.354908i	−0.850674	−	0.525693i	$-0.823806\pi$
$661$	−34.0537	+	9.12465i	−1.32453	+	0.354908i	−0.473859	+	0.880601i	$0.657139\pi$
$662$	−17.3481			−0.674251
$663$	−3.19576	+	2.68873i	−0.124113	+	0.104422i
$664$	4.12804			0.160199
$665$	1.58210	−	0.423922i	0.0613512	−	0.0164390i
$666$	7.27624	−	12.8195i	0.281948	−	0.496744i
$667$	18.4050	−	10.6261i	0.712643	−	0.411444i
$668$	4.11283	+	4.11283i	0.159130	+	0.159130i
$669$	−4.96242	−	8.52270i	−0.191858	−	0.329506i
$670$	1.80439	−	6.73408i	0.0697098	−	0.260160i
$671$	3.06170	−	3.06170i	0.118196	−	0.118196i
$672$	1.67467	+	0.442137i	0.0646017	+	0.0170558i
$673$	−16.3150	−	9.41948i	−0.628898	−	0.363094i	0.151427	−	0.988468i	$-0.451613\pi$
$673$	−16.3150	−	9.41948i	−0.628898	−	0.363094i	−0.780325	+	0.625374i	$0.784946\pi$
$674$	−7.21222	−	26.9164i	−0.277804	−	1.03678i
$675$	17.6135	+	17.2294i	0.677944	+	0.663160i
$676$	−12.2368	+	4.38859i	−0.470648	+	0.168792i
$677$		−	3.89526i		−	0.149707i	−0.997195	−	0.0748536i	$-0.976151\pi$
$677$		−	3.89526i		−	0.149707i	0.997195	−	0.0748536i	$-0.0238489\pi$
$678$	4.94670	−	8.64110i	0.189977	−	0.331859i
$679$	−8.78790	+	15.2211i	−0.337248	+	0.584131i
$680$	−0.169905	−	0.294285i	−0.00651558	−	0.0112853i
$681$	−0.0947558	−	25.7877i	−0.00363105	−	0.988186i
$682$	−11.6099	−	3.11086i	−0.444566	−	0.119121i
$683$	−39.2280	−	10.5111i	−1.50102	−	0.402196i	−0.587576	−	0.809169i	$-0.699918\pi$
$683$	−39.2280	−	10.5111i	−1.50102	−	0.402196i	−0.913440	+	0.406973i	$0.866584\pi$
$684$	6.78752	−	6.88803i	0.259527	−	0.263370i
$685$	1.20571	+	2.08836i	0.0460679	+	0.0797920i
$686$	−0.500000	+	0.866025i	−0.0190901	+	0.0330650i
$687$	−21.8006	−	12.4800i	−0.831746	−	0.476142i
$688$			4.72640i			0.180192i
$689$	9.70402	+	0.872058i	0.369694	+	0.0332228i
$690$	4.39670	−	4.42913i	0.167379	−	0.168614i
$691$	−9.37085	−	34.9725i	−0.356484	−	1.33042i	−0.878607	−	0.477546i	$-0.841526\pi$
$691$	−9.37085	−	34.9725i	−0.356484	−	1.33042i	0.522123	−	0.852870i	$-0.325140\pi$
$692$	−15.1241	−	8.73192i	−0.574933	−	0.331938i
$693$	5.28778	−	3.10493i	0.200866	−	0.117947i
$694$	−21.3104	+	21.3104i	−0.808932	+	0.808932i
$695$	−1.27463	+	4.75697i	−0.0483494	+	0.180442i
$696$	−4.48598	+	2.61201i	−0.170041	+	0.0990078i
$697$	2.72242	+	2.72242i	0.103119	+	0.103119i
$698$	18.8258	−	10.8691i	0.712566	−	0.411400i
$699$	11.4425	−	3.11111i	0.432794	−	0.117673i
$700$	4.58024	−	1.22727i	0.173117	−	0.0463865i
$701$	14.2382			0.537770			0.268885	−	0.963172i	$-0.413345\pi$
$701$	14.2382			0.537770			0.268885	+	0.963172i	$0.413345\pi$
$702$	15.4393	+	10.6126i	0.582720	+	0.400546i
$703$	−15.8384			−0.597356
$704$	−1.97435	+	0.529024i	−0.0744110	+	0.0199384i
$705$	−10.9950	+	2.98945i	−0.414096	+	0.112589i
$706$	1.27613	−	0.736773i	0.0480277	−	0.0277288i
$707$	3.33114	+	3.33114i	0.125280	+	0.125280i
$708$	−2.37860	+	1.38496i	−0.0893932	+	0.0520501i
$709$	−9.82639	+	36.6726i	−0.369038	+	1.37727i	0.492826	+	0.870128i	$0.335964\pi$
$709$	−9.82639	+	36.6726i	−0.369038	+	1.37727i	−0.861864	+	0.507140i	$0.830703\pi$
$710$	−5.17707	+	5.17707i	−0.194292	+	0.194292i
$711$	−36.4333	+	21.3933i	−1.36635	+	0.802310i
$712$	−10.9830	−	6.34105i	−0.411606	−	0.237641i
$713$	−10.7923	−	40.2774i	−0.404175	−	1.50840i
$714$	0.816040	−	0.822060i	0.0305395	−	0.0307648i
$715$	−3.06243	−	2.15512i	−0.114528	−	0.0805969i
$716$		−	1.30870i		−	0.0489086i
$717$	−7.27784	−	4.16628i	−0.271796	−	0.155593i
$718$	−10.4199	+	18.0478i	−0.388868	+	0.673539i
$719$	−17.8930	−	30.9917i	−0.667298	−	1.15579i	−0.978657	−	0.205502i	$-0.934117\pi$
$719$	−17.8930	−	30.9917i	−0.667298	−	1.15579i	0.311359	−	0.950292i	$-0.399216\pi$
$720$	−1.06994	+	1.08579i	−0.0398744	+	0.0404648i
$721$	0.184820	+	0.0495223i	0.00688305	+	0.00184431i
$722$	8.31604	+	2.22828i	0.309491	+	0.0829279i
$723$	−0.106149	−	28.8883i	−0.00394772	−	1.07437i
$724$	2.19545	+	3.80264i	0.0815934	+	0.141324i
$725$	−7.10568	+	12.3074i	−0.263898	+	0.457085i
$726$	5.87046	−	10.2548i	0.217873	−	0.380590i
$727$			9.90693i			0.367428i	0.982980	+	0.183714i	$0.0588120\pi$
$727$			9.90693i			0.367428i	−0.982980	+	0.183714i	$0.941188\pi$
$728$	3.27132	−	1.51606i	0.121243	−	0.0561890i
$729$	−0.595211	−	26.9934i	−0.0220449	−	0.999757i
$730$	0.465542	+	1.73743i	0.0172305	+	0.0643050i
$731$	2.73734	+	1.58040i	0.101244	+	0.0584534i
$732$	−3.54754	−	0.936603i	−0.131121	−	0.0346179i
$733$	−3.22915	+	3.22915i	−0.119271	+	0.119271i	−0.764223	−	0.644952i	$-0.776877\pi$
$733$	−3.22915	+	3.22915i	−0.119271	+	0.119271i	0.644952	+	0.764223i	$0.276877\pi$
$734$	−1.51959	+	5.67117i	−0.0560889	+	0.209327i
$735$	−0.442846	−	0.760564i	−0.0163346	−	0.0280538i
$736$	−5.01416	−	5.01416i	−0.184824	−	0.184824i
$737$	−24.2871	+	14.0222i	−0.894626	+	0.516513i
$738$	8.52548	−	15.0204i	0.313827	−	0.552909i
$739$	34.8116	−	9.32775i	1.28057	−	0.343127i	0.446496	−	0.894785i	$-0.352672\pi$
$739$	34.8116	−	9.32775i	1.28057	−	0.343127i	0.834070	+	0.551659i	$0.186005\pi$
$740$	2.49667			0.0917793
$741$	1.72809	−	20.0561i	0.0634829	−	0.736779i
$742$	−2.70226			−0.0992030
$743$	−9.37865	+	2.51300i	−0.344069	+	0.0921930i	−0.426716	−	0.904386i	$-0.640329\pi$
$743$	−9.37865	+	2.51300i	−0.344069	+	0.0921930i	0.0826464	+	0.996579i	$0.473663\pi$
$744$	2.67223	+	9.82831i	0.0979688	+	0.360323i
$745$	−5.24286	+	3.02697i	−0.192083	+	0.110899i
$746$	−1.57035	−	1.57035i	−0.0574948	−	0.0574948i
$747$	−11.9854	−	3.11725i	−0.438522	−	0.114054i
$748$	−0.353788	+	1.32036i	−0.0129358	+	0.0482770i
$749$	−7.44155	+	7.44155i	−0.271908	+	0.271908i
$750$	−2.18860	+	8.28969i	−0.0799164	+	0.302697i
$751$	14.9212	+	8.61475i	0.544482	+	0.314357i	0.746893	−	0.664944i	$-0.231545\pi$
$751$	14.9212	+	8.61475i	0.544482	+	0.314357i	−0.202412	+	0.979301i	$0.564878\pi$
$752$	3.35080	+	12.5054i	0.122191	+	0.456024i
$753$	20.1738	+	20.0261i	0.735173	+	0.729791i
$754$	−3.71979	+	10.1455i	−0.135467	+	0.369478i
$755$			5.66562i			0.206193i
$756$	−4.52837	−	2.54831i	−0.164695	−	0.0926813i
$757$	−18.2011	+	31.5252i	−0.661529	+	1.14580i	0.318684	+	0.947861i	$0.396759\pi$
$757$	−18.2011	+	31.5252i	−0.661529	+	1.14580i	−0.980214	+	0.197942i	$0.936574\pi$
$758$	4.84567	+	8.39295i	0.176003	+	0.304846i
$759$	−25.1044	+	0.0922451i	−0.911232	+	0.00334829i
$760$	1.58210	+	0.423922i	0.0573888	+	0.0153773i
$761$	22.2002	+	5.94853i	0.804758	+	0.215634i	0.637672	−	0.770308i	$-0.279898\pi$
$761$	22.2002	+	5.94853i	0.804758	+	0.215634i	0.167086	+	0.985942i	$0.446564\pi$
$762$	38.1417	−	0.140150i	1.38173	−	0.00507710i
$763$	0.307751	+	0.533041i	0.0111413	+	0.0192974i
$764$	8.18474	−	14.1764i	0.296113	−	0.512884i
$765$	0.271078	+	0.982731i	0.00980084	+	0.0355307i
$766$			8.49913i			0.307086i
$767$	−1.97234	+	5.37946i	−0.0712172	+	0.194241i
$768$	1.22924	+	1.22024i	0.0443563	+	0.0440315i
$769$	9.15552	+	34.1689i	0.330157	+	1.23216i	0.909025	+	0.416741i	$0.136828\pi$
$769$	9.15552	+	34.1689i	0.330157	+	1.23216i	−0.578869	+	0.815421i	$0.696506\pi$
$770$	0.899456	+	0.519301i	0.0324141	+	0.0187143i
$771$	−5.89491	+	22.3279i	−0.212300	+	0.804121i
$772$	−4.75900	+	4.75900i	−0.171280	+	0.171280i
$773$	3.28552	−	12.2617i	0.118172	−	0.441024i	−0.881333	−	0.472496i	$-0.843353\pi$
$773$	3.28552	−	12.2617i	0.118172	−	0.441024i	0.999505	+	0.0314723i	$0.0100196\pi$
$774$	3.56910	−	13.7227i	0.128289	−	0.493251i
$775$	19.7167	+	19.7167i	0.708245	+	0.708245i
$776$	−15.2211	+	8.78790i	−0.546405	+	0.315467i
$777$	2.23285	+	8.21230i	0.0801031	+	0.294614i
$778$	−0.805535	+	0.215843i	−0.0288798	+	0.00773833i
$779$	−18.5577			−0.664897
$780$	−0.272405	+	3.16152i	−0.00975367	+	0.113201i
$781$	29.4516			1.05386
$782$	−4.58062	+	1.22737i	−0.163803	+	0.0438908i
$783$	14.9970	−	4.19617i	0.535951	−	0.149959i
$784$	−0.866025	+	0.500000i	−0.0309295	+	0.0178571i
$785$	5.89703	+	5.89703i	0.210474	+	0.210474i
$786$	4.49797	+	7.72502i	0.160437	+	0.275542i
$787$	−3.04233	+	11.3541i	−0.108447	+	0.404731i	−0.998713	−	0.0507097i	$-0.983852\pi$
$787$	−3.04233	+	11.3541i	−0.108447	+	0.404731i	0.890266	+	0.455441i	$0.150518\pi$
$788$	−1.22461	+	1.22461i	−0.0436248	+	0.0436248i
$789$	14.5821	+	3.84988i	0.519135	+	0.137059i
$790$	−6.19733	−	3.57803i	−0.220491	−	0.127301i
$791$	1.48784	+	5.55270i	0.0529015	+	0.197431i
$792$	6.13182	−	0.0450628i	0.217885	−	0.00160124i
$793$	−6.92982	+	3.21155i	−0.246085	+	0.114046i
$794$		−	31.3989i		−	1.11430i
$795$	1.18155	−	2.06398i	0.0419052	−	0.0732017i
$796$	−5.61806	+	9.73076i	−0.199127	+	0.344898i
$797$	0.767007	+	1.32850i	0.0271688	+	0.0470577i	0.879290	−	0.476287i	$-0.158018\pi$
$797$	0.767007	+	1.32850i	0.0271688	+	0.0470577i	−0.852121	+	0.523344i	$0.824684\pi$
$798$	0.0205150	+	5.58313i	0.000726223	+	0.197641i
$799$	8.36304	+	2.24087i	0.295863	+	0.0792763i
$800$	4.58024	+	1.22727i	0.161936	+	0.0433906i
$801$	27.0998	+	26.7044i	0.957524	+	0.943552i
$802$	−7.17164	−	12.4216i	−0.253239	−	0.438623i
$803$	3.61778	−	6.26618i	0.127669	−	0.221129i
$804$	20.6240	+	11.8065i	0.727354	+	0.416382i
$805$			3.60315i			0.126994i
$806$	17.3389	+	12.2019i	0.610738	+	0.429793i
$807$	−26.6296	+	26.8260i	−0.937406	+	0.944320i
$808$	1.21928	+	4.55042i	0.0428942	+	0.160083i
$809$	−22.2719	−	12.8587i	−0.783039	−	0.452088i	0.0544675	−	0.998516i	$-0.482654\pi$
$809$	−22.2719	−	12.8587i	−0.783039	−	0.452088i	−0.837506	+	0.546428i	$0.815987\pi$
$810$	3.92640	−	2.34452i	0.137960	−	0.0823780i
$811$	30.1919	−	30.1919i	1.06018	−	1.06018i	0.0621106	−	0.998069i	$-0.480217\pi$
$811$	30.1919	−	30.1919i	1.06018	−	1.06018i	0.998069	−	0.0621106i	$-0.0197831\pi$
$812$	0.775689	−	2.89491i	0.0272213	−	0.101591i
$813$	9.91836	−	5.77506i	0.347852	−	0.202540i
$814$	−7.10159	−	7.10159i	−0.248911	−	0.248911i
$815$	4.75542	−	2.74554i	0.166575	−	0.0961721i
$816$	1.11774	−	0.303904i	0.0391288	−	0.0106388i
$817$	−14.7162	+	3.94318i	−0.514853	+	0.137955i
$818$	0.234783			0.00820900
$819$	−10.6428	+	1.93143i	−0.371890	+	0.0674896i
$820$	2.92531			0.102156
$821$	−18.8539	+	5.05190i	−0.658007	+	0.176312i	−0.572346	−	0.820012i	$-0.693967\pi$
$821$	−18.8539	+	5.05190i	−0.658007	+	0.176312i	−0.0856604	+	0.996324i	$0.527300\pi$
$822$	−7.93191	+	2.15662i	−0.276657	+	0.0752207i
$823$	−6.31258	+	3.64457i	−0.220043	+	0.127042i	−0.605970	−	0.795487i	$-0.707215\pi$
$823$	−6.31258	+	3.64457i	−0.220043	+	0.127042i	0.385927	+	0.922529i	$0.373882\pi$
$824$	0.135297	+	0.135297i	0.00471331	+	0.00471331i
$825$	14.5074	−	8.44708i	0.505083	−	0.294090i
$826$	0.411293	−	1.53497i	0.0143107	−	0.0534083i
$827$	−4.86814	+	4.86814i	−0.169282	+	0.169282i	−0.786664	−	0.617382i	$-0.788193\pi$
$827$	−4.86814	+	4.86814i	−0.169282	+	0.169282i	0.617382	+	0.786664i	$0.288193\pi$
$828$	10.7717	+	18.3445i	0.374344	+	0.637516i
$829$	−3.47981	−	2.00907i	−0.120859	−	0.0697779i	0.438352	−	0.898803i	$-0.355562\pi$
$829$	−3.47981	−	2.00907i	−0.120859	−	0.0697779i	−0.559211	+	0.829026i	$0.688896\pi$
$830$	−0.542887	−	2.02608i	−0.0188439	−	0.0703263i
$831$	−1.51686	+	1.52805i	−0.0526194	+	0.0530075i
$832$	3.59108	+	0.322715i	0.124498	+	0.0111881i
$833$			0.668756i			0.0231710i
$834$	−14.5689	−	8.34012i	−0.504479	−	0.288795i
$835$	1.47773	−	2.55951i	0.0511390	−	0.0885754i
$836$	−3.29435	−	5.70598i	−0.113938	−	0.197346i
$837$	−0.336814	−	30.5535i	−0.0116420	−	1.05608i
$838$	−23.5015	−	6.29721i	−0.811846	−	0.217533i
$839$	−31.5197	−	8.44569i	−1.08818	−	0.291577i	−0.330238	−	0.943898i	$-0.607129\pi$
$839$	−31.5197	−	8.44569i	−1.08818	−	0.291577i	−0.757944	+	0.652320i	$0.773796\pi$
$840$	−0.00323386	−	0.880090i	−0.000111579	−	0.0303660i
$841$	−10.0089	−	17.3359i	−0.345135	−	0.597791i
$842$	−17.2468	+	29.8724i	−0.594365	+	1.02947i
$843$	28.7853	−	50.2834i	0.991418	−	1.73185i
$844$		−	6.69958i		−	0.230609i
$845$	3.76326	+	5.42881i	0.129460	+	0.186757i
$846$	−0.285425	−	38.8385i	−0.00981310	−	1.33529i
$847$	1.76569	+	6.58963i	0.0606697	+	0.226422i
$848$	−2.34022	−	1.35113i	−0.0803636	−	0.0463979i
$849$	32.0856	+	8.47108i	1.10118	+	0.290727i
$850$	2.24232	−	2.24232i	0.0769108	−	0.0769108i
$851$	9.01779	−	33.6548i	0.309126	−	1.15367i
$852$	−12.5578	−	21.5673i	−0.430222	−	0.738883i
$853$	−23.7384	−	23.7384i	−0.812786	−	0.812786i	0.172265	−	0.985051i	$-0.444892\pi$
$853$	−23.7384	−	23.7384i	−0.812786	−	0.812786i	−0.985051	+	0.172265i	$0.944892\pi$
$854$	1.83455	−	1.05918i	0.0627770	−	0.0362443i
$855$	−4.27335	−	2.42553i	−0.146146	−	0.0829512i
$856$	−10.1653	+	2.72380i	−0.347444	+	0.0930974i
$857$	−50.4662			−1.72389			−0.861947	−	0.506999i	$-0.830755\pi$
$857$	−50.4662			−1.72389			−0.861947	+	0.506999i	$0.830755\pi$
$858$	9.76755	−	8.21788i	0.333459	−	0.280554i
$859$	−56.7078			−1.93484			−0.967422	−	0.253169i	$-0.918527\pi$
$859$	−56.7078			−1.93484			−0.967422	+	0.253169i	$0.918527\pi$
$860$	2.31976	−	0.621579i	0.0791033	−	0.0211957i
$861$	2.61621	+	9.62225i	0.0891601	+	0.327925i
$862$	7.82763	−	4.51928i	0.266610	−	0.153927i
$863$	28.4327	+	28.4327i	0.967859	+	0.967859i	0.999499	−	0.0316405i	$-0.0100732\pi$
$863$	28.4327	+	28.4327i	0.967859	+	0.967859i	−0.0316405	+	0.999499i	$0.510073\pi$
$864$	−2.64752	−	4.47109i	−0.0900705	−	0.152109i
$865$	−2.29671	+	8.57143i	−0.0780904	+	0.291437i
$866$	−5.57454	+	5.57454i	−0.189431	+	0.189431i
$867$	−7.31859	+	27.7204i	−0.248552	+	0.941434i
$868$	−5.09255	−	2.94019i	−0.172853	−	0.0997965i
$869$	7.45041	+	27.8053i	0.252738	+	0.943231i
$870$	1.87196	+	1.85825i	0.0634654	+	0.0630007i
$871$	48.7380	−	8.47535i	1.65142	−	0.287176i
$872$			0.615502i			0.0208435i
$873$	50.8291	−	14.0208i	1.72030	−	0.474531i
$874$	11.4289	−	19.7954i	0.386587	−	0.669589i
$875$	−2.47502	−	4.28687i	−0.0836711	−	0.144923i
$876$	−6.13127	+	0.0225291i	−0.207156	+	0.000761188i
$877$	40.2264	+	10.7786i	1.35835	+	0.363968i	0.863210	−	0.504845i	$-0.168451\pi$
$877$	40.2264	+	10.7786i	1.35835	+	0.363968i	0.495139	+	0.868814i	$0.335117\pi$
$878$	28.1917	+	7.55394i	0.951424	+	0.254933i
$879$	36.8430	−	0.135378i	1.24268	−	0.00456619i
$880$	0.519301	+	0.899456i	0.0175056	+	0.0303206i
$881$	−0.769622	+	1.33302i	−0.0259292	+	0.0449107i	−0.878699	−	0.477377i	$-0.841588\pi$
$881$	−0.769622	+	1.33302i	−0.0259292	+	0.0449107i	0.852770	+	0.522287i	$0.174921\pi$
$882$	2.89199	−	0.797731i	0.0973785	−	0.0268610i
$883$		−	26.3630i		−	0.887184i	−0.896229	−	0.443592i	$-0.853704\pi$
$883$		−	26.3630i		−	0.887184i	0.896229	−	0.443592i	$-0.146296\pi$
$884$	1.38768	−	1.97190i	0.0466728	−	0.0663222i
$885$	0.992568	+	0.985300i	0.0333648	+	0.0331205i
$886$	8.33389	+	31.1025i	0.279982	+	1.04491i
$887$	−22.3603	−	12.9097i	−0.750787	−	0.433467i	0.0751913	−	0.997169i	$-0.476043\pi$
$887$	−22.3603	−	12.9097i	−0.750787	−	0.433467i	−0.825978	+	0.563702i	$0.809377\pi$
$888$	−2.17244	+	8.22848i	−0.0729024	+	0.276130i
$889$	−15.5714	+	15.5714i	−0.522247	+	0.522247i
$890$	−1.66785	+	6.22450i	−0.0559065	+	0.208646i
$891$	−17.8372	−	4.49955i	−0.597568	−	0.150741i
$892$	4.02621	+	4.02621i	0.134807	+	0.134807i
$893$	−36.1413	+	20.8662i	−1.20942	+	0.698260i
$894$	−5.41423	−	19.9132i	−0.181079	−	0.665998i
$895$	−0.642325	+	0.172110i	−0.0214706	+	0.00575302i
$896$	−1.00000			−0.0334077
$897$	41.6331	+	15.0912i	1.39009	+	0.503880i
$898$	−34.5680			−1.15355
$899$	17.0232	−	4.56134i	0.567754	−	0.152129i
$900$	−12.3715	−	7.02199i	−0.412384	−	0.234066i
$901$	−1.56504	+	0.903575i	−0.0521390	+	0.0301025i
$902$	−8.32085	−	8.32085i	−0.277054	−	0.277054i
$903$	4.11921	+	7.07451i	0.137079	+	0.235425i
$904$	−1.48784	+	5.55270i	−0.0494849	+	0.184680i
$905$	1.57764	−	1.57764i	0.0524426	−	0.0524426i
$906$	−18.6727	−	4.92986i	−0.620358	−	0.163784i
$907$	35.2248	+	20.3371i	1.16962	+	0.675281i	0.953591	−	0.301105i	$-0.0973556\pi$
$907$	35.2248	+	20.3371i	1.16962	+	0.675281i	0.216030	+	0.976387i	$0.430689\pi$
$908$	3.85346	+	14.3813i	0.127882	+	0.477260i
$909$	−0.103860	−	14.1325i	−0.00344481	−	0.468744i
$910$	−1.17432	−	1.40622i	−0.0389282	−	0.0466157i
$911$		−	28.0043i		−	0.927823i	−0.885882	−	0.463911i	$-0.846446\pi$
$911$		−	28.0043i		−	0.927823i	0.885882	−	0.463911i	$-0.153554\pi$
$912$	−2.77380	+	4.84539i	−0.0918497	+	0.160447i
$913$	−4.21884	+	7.30725i	−0.139623	+	0.241835i
$914$	−2.15555	−	3.73352i	−0.0712992	−	0.123494i
$915$	0.00685045	+	1.86434i	0.000226469	+	0.0616333i
$916$	14.0089	+	3.75367i	0.462867	+	0.124025i
$917$	−4.98514	−	1.33576i	−0.164624	−	0.0441108i
$918$	−3.47475	+	0.0383048i	−0.114684	+	0.00126425i
$919$	24.3432	+	42.1636i	0.803007	+	1.39085i	0.917629	+	0.397439i	$0.130101\pi$
$919$	24.3432	+	42.1636i	0.803007	+	1.39085i	−0.114622	+	0.993409i	$0.536566\pi$
$920$	−1.80158	+	3.12042i	−0.0593962	+	0.102877i
$921$	−12.1954	−	6.98138i	−0.401851	−	0.230044i
$922$			17.6920i			0.582657i
$923$	−48.7767	−	17.8837i	−1.60551	−	0.588648i
$924$	−2.49416	+	2.51255i	−0.0820517	+	0.0826569i
$925$	6.03019	+	22.5050i	0.198272	+	0.739960i
$926$	35.9966	+	20.7827i	1.18292	+	0.682961i
$927$	−0.290655	−	0.494992i	−0.00954635	−	0.0162577i
$928$	2.11922	−	2.11922i	0.0695668	−	0.0695668i
$929$	14.5498	−	54.3004i	0.477362	−	1.78154i	−0.134872	−	0.990863i	$-0.543062\pi$
$929$	14.5498	−	54.3004i	0.477362	−	1.78154i	0.612234	−	0.790677i	$-0.290271\pi$
$930$	4.47240	−	2.60410i	0.146656	−	0.0853918i
$931$	−2.27932	−	2.27932i	−0.0747017	−	0.0747017i
$932$	−5.92894	+	3.42308i	−0.194209	+	0.112127i
$933$	−52.0766	+	14.1592i	−1.70491	+	0.463551i
$934$	17.3593	−	4.65141i	0.568013	−	0.152199i
$935$	0.694571			0.0227149
$936$	−10.1827	−	3.64874i	−0.332831	−	0.119263i
$937$	18.9078			0.617692			0.308846	−	0.951112i	$-0.400057\pi$
$937$	18.9078			0.617692			0.308846	+	0.951112i	$0.400057\pi$
$938$	−13.2528	+	3.55109i	−0.432720	+	0.115947i
$939$	−22.4053	+	6.09180i	−0.731168	+	0.198798i
$940$	5.69709	−	3.28922i	0.185819	−	0.107282i
$941$	5.28968	+	5.28968i	0.172439	+	0.172439i	0.788050	−	0.615611i	$-0.211091\pi$
$941$	5.28968	+	5.28968i	0.172439	+	0.172439i	−0.615611	+	0.788050i	$0.711091\pi$
$942$	−24.5666	+	14.3041i	−0.800422	+	0.466054i
$943$	10.5660	−	39.4330i	0.344077	−	1.28411i
$944$	1.12367	−	1.12367i	0.0365725	−	0.0365725i
$945$	−0.655203	+	2.55770i	−0.0213138	+	0.0832020i
$946$	−8.36644	−	4.83037i	−0.272016	−	0.157049i
$947$	−2.48028	−	9.25653i	−0.0805983	−	0.300797i	0.913846	−	0.406061i	$-0.133098\pi$
$947$	−2.48028	−	9.25653i	−0.0805983	−	0.300797i	−0.994444	+	0.105264i	$0.966431\pi$
$948$	17.1850	−	17.3117i	0.558142	−	0.562258i
$949$	−9.79661	+	8.18104i	−0.318011	+	0.265568i
$950$			15.2850i			0.495910i
$951$	0.482865	+	0.276421i	0.0156580	+	0.00896357i
$952$	−0.334378	+	0.579160i	−0.0108373	+	0.0187707i
$953$	9.27435	+	16.0636i	0.300426	+	0.520352i	0.976232	−	0.216726i	$-0.0695380\pi$
$953$	9.27435	+	16.0636i	0.300426	+	0.520352i	−0.675807	+	0.737079i	$0.736205\pi$
$954$	5.77432	+	5.69007i	0.186951	+	0.184223i
$955$	−8.03430	−	2.15279i	−0.259984	−	0.0696625i
$956$	4.67668	+	1.25311i	0.151255	+	0.0405286i
$957$	−0.0389872	−	10.6103i	−0.00126028	−	0.342983i
$958$	−2.44820	−	4.24040i	−0.0790976	−	0.137001i
$959$	2.37287	−	4.10993i	0.0766240	−	0.132717i
$960$	0.437245	−	0.763798i	0.0141120	−	0.0246515i
$961$		−	3.57881i		−	0.115445i
$962$	7.44916	+	16.0736i	0.240171	+	0.518235i
$963$	31.5710	−	0.232016i	1.01736	−	0.00747660i
$964$	4.31678	+	16.1105i	0.139034	+	0.518883i
$965$	2.96163	+	1.70990i	0.0953382	+	0.0550435i
$966$	−11.8752	−	3.13523i	−0.382079	−	0.100874i
$967$	−3.92468	+	3.92468i	−0.126209	+	0.126209i	−0.767390	−	0.641181i	$-0.778445\pi$
$967$	−3.92468	+	3.92468i	−0.126209	+	0.126209i	0.641181	+	0.767390i	$0.278445\pi$
$968$	−1.76569	+	6.58963i	−0.0567513	+	0.211799i
$969$	1.87876	+	3.22667i	0.0603544	+	0.103655i
$970$	6.31494	+	6.31494i	0.202761	+	0.202761i
$971$	14.0788	−	8.12841i	0.451811	−	0.260853i	−0.256784	−	0.966469i	$-0.582663\pi$
$971$	14.0788	−	8.12841i	0.451811	−	0.260853i	0.708595	+	0.705616i	$0.249330\pi$
$972$	4.31053	+	14.9806i	0.138260	+	0.480504i
$973$	9.36184	−	2.50850i	0.300127	−	0.0804187i
$974$	−21.9245			−0.702506
$975$	−29.1559	+	5.18055i	−0.933737	+	0.165910i
$976$	2.11835			0.0678069
$977$	−0.705049	+	0.188917i	−0.0225565	+	0.00604400i	−0.270080	−	0.962838i	$-0.587050\pi$
$977$	−0.705049	+	0.188917i	−0.0225565	+	0.00604400i	0.247523	+	0.968882i	$0.420383\pi$
$978$	4.91086	+	18.0618i	0.157032	+	0.577554i
$979$	22.4492	−	12.9611i	0.717480	−	0.414237i
$980$	0.359298	+	0.359298i	0.0114773	+	0.0114773i
$981$	0.464791	−	1.78705i	0.0148396	−	0.0570562i
$982$	6.78124	−	25.3079i	0.216398	−	0.807608i
$983$	−31.7408	+	31.7408i	−1.01237	+	1.01237i	−0.0124519	+	0.999922i	$0.503964\pi$
$983$	−31.7408	+	31.7408i	−1.01237	+	1.01237i	−0.999922	+	0.0124519i	$0.996036\pi$
$984$	−2.54542	+	9.64122i	−0.0811451	+	0.307351i
$985$	0.762100	+	0.439999i	0.0242825	+	0.0140195i
$986$	−0.518746	−	1.93599i	−0.0165203	−	0.0616544i
$987$	15.9143	+	15.7978i	0.506559	+	0.502850i
$988$	1.99119	+	11.4505i	0.0633482	+	0.364288i
$989$		−	33.5153i		−	1.06573i
$990$	−0.828525	−	3.00363i	−0.0263323	−	0.0954616i
$991$	−30.7483	+	53.2576i	−0.976752	+	1.69178i	−0.302726	+	0.953078i	$0.597897\pi$
$991$	−30.7483	+	53.2576i	−0.976752	+	1.69178i	−0.674027	+	0.738707i	$0.735437\pi$
$992$	−2.94019	−	5.09255i	−0.0933510	−	0.161689i
$993$	−30.0475	+	0.110408i	−0.953529	+	0.00350370i
$994$	13.9179	+	3.72928i	0.441448	+	0.118286i
$995$	5.51480	+	1.47769i	0.174831	+	0.0468458i
$996$	7.14992	−	0.0262721i	0.226554	−	0.000832463i
$997$	−12.8580	−	22.2708i	−0.407218	−	0.705323i	0.587359	−	0.809327i	$-0.300168\pi$
$997$	−12.8580	−	22.2708i	−0.407218	−	0.705323i	−0.994577	+	0.104004i	$0.966835\pi$
$998$	−6.00604	+	10.4028i	−0.190118	+	0.329294i
$999$	12.5211	−	22.2501i	0.396151	−	0.703963i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	546.2.bu.b.71.1	yes	56
3.2	odd	2		546.2.bu.a.71.11	✓	56
13.11	odd	12		546.2.bu.a.323.11	yes	56
39.11	even	12	inner	546.2.bu.b.323.1	yes	56

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
546.2.bu.a.71.11	✓	56	3.2	odd	2
546.2.bu.a.323.11	yes	56	13.11	odd	12
546.2.bu.b.71.1	yes	56	1.1	even	1	trivial
546.2.bu.b.323.1	yes	56	39.11	even	12	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 $\F_{q}$

Level:	\( N \)	\(=\)	\( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	546.bu (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.965926 + 0.258819i) q^{2} +(-1.67137 + 0.454432i) q^{3} +(0.866025 - 0.500000i) q^{4} +(-0.359298 - 0.359298i) q^{5} +(1.49681 - 0.871531i) q^{6} +(-0.258819 + 0.965926i) q^{7} +(-0.707107 + 0.707107i) q^{8} +(2.58698 - 1.51905i) q^{9} +O(q^{10})\)	\(q+(-0.965926 + 0.258819i) q^{2} +(-1.67137 + 0.454432i) q^{3} +(0.866025 - 0.500000i) q^{4} +(-0.359298 - 0.359298i) q^{5} +(1.49681 - 0.871531i) q^{6} +(-0.258819 + 0.965926i) q^{7} +(-0.707107 + 0.707107i) q^{8} +(2.58698 - 1.51905i) q^{9} +(0.440048 + 0.254062i) q^{10} +(-0.529024 - 1.97435i) q^{11} +(-1.22024 + 1.22924i) q^{12} +(-0.322715 + 3.59108i) q^{13} -1.00000i q^{14} +(0.763798 + 0.437245i) q^{15} +(0.500000 - 0.866025i) q^{16} +(-0.334378 - 0.579160i) q^{17} +(-2.10567 + 2.13685i) q^{18} +(3.11361 + 0.834289i) q^{19} +(-0.490810 - 0.131512i) q^{20} +(-0.00636431 - 1.73204i) q^{21} +(1.02200 + 1.77015i) q^{22} +(-3.54554 + 6.14106i) q^{23} +(0.860508 - 1.50317i) q^{24} -4.74181i q^{25} +(-0.617721 - 3.55224i) q^{26} +(-3.63351 + 3.71451i) q^{27} +(0.258819 + 0.965926i) q^{28} +(-2.59550 - 1.49852i) q^{29} +(-0.850939 - 0.224661i) q^{30} +(-4.15805 + 4.15805i) q^{31} +(-0.258819 + 0.965926i) q^{32} +(1.78140 + 3.05947i) q^{33} +(0.472882 + 0.472882i) q^{34} +(0.440048 - 0.254062i) q^{35} +(1.48087 - 2.60903i) q^{36} +(-4.74608 + 1.27171i) q^{37} -3.22345 q^{38} +(-1.09253 - 6.14869i) q^{39} +0.508124 q^{40} +(-5.56092 + 1.49004i) q^{41} +(0.454432 + 1.67137i) q^{42} +(-4.09318 + 2.36320i) q^{43} +(-1.44532 - 1.44532i) q^{44} +(-1.47529 - 0.383705i) q^{45} +(1.83531 - 6.84946i) q^{46} +(-9.15457 + 9.15457i) q^{47} +(-0.442137 + 1.67467i) q^{48} +(-0.866025 - 0.500000i) q^{49} +(1.22727 + 4.58024i) q^{50} +(0.822060 + 0.816040i) q^{51} +(1.51606 + 3.27132i) q^{52} -2.70226i q^{53} +(2.54831 - 4.52837i) q^{54} +(-0.519301 + 0.899456i) q^{55} +(-0.500000 - 0.866025i) q^{56} +(-5.58313 + 0.0205150i) q^{57} +(2.89491 + 0.775689i) q^{58} +(1.53497 + 0.411293i) q^{59} +(0.880090 - 0.00323386i) q^{60} +(1.05918 + 1.83455i) q^{61} +(2.94019 - 5.09255i) q^{62} +(0.797731 + 2.89199i) q^{63} -1.00000i q^{64} +(1.40622 - 1.17432i) q^{65} +(-2.51255 - 2.49416i) q^{66} +(-3.55109 - 13.2528i) q^{67} +(-0.579160 - 0.334378i) q^{68} +(3.13523 - 11.8752i) q^{69} +(-0.359298 + 0.359298i) q^{70} +(-3.72928 + 13.9179i) q^{71} +(-0.755141 + 2.90341i) q^{72} +(2.50310 + 2.50310i) q^{73} +(4.25522 - 2.45675i) q^{74} +(2.15483 + 7.92534i) q^{75} +(3.11361 - 0.834289i) q^{76} +2.04399 q^{77} +(2.64670 + 5.65641i) q^{78} -14.0833 q^{79} +(-0.490810 + 0.131512i) q^{80} +(4.38496 - 7.85952i) q^{81} +(4.98579 - 2.87854i) q^{82} +(-2.91896 - 2.91896i) q^{83} +(-0.871531 - 1.49681i) q^{84} +(-0.0879495 + 0.328232i) q^{85} +(3.34207 - 3.34207i) q^{86} +(5.01903 + 1.32510i) q^{87} +(1.77015 + 1.02200i) q^{88} +(3.28237 + 12.2500i) q^{89} +(1.52433 - 0.0112023i) q^{90} +(-3.38519 - 1.24116i) q^{91} +7.09109i q^{92} +(5.06011 - 8.83921i) q^{93} +(6.47326 - 11.2120i) q^{94} +(-0.818955 - 1.41847i) q^{95} +(-0.00636431 - 1.73204i) q^{96} +(16.9769 + 4.54895i) q^{97} +(0.965926 + 0.258819i) q^{98} +(-4.36771 - 4.30398i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 56 q + 8 q^{6} - 24 q^{9}+O(q^{10}) \) 56 * q + 8 * q^6 - 24 * q^9	\( 56 q + 8 q^{6} - 24 q^{9} + 24 q^{10} + 8 q^{11} + 24 q^{13} + 4 q^{15} + 28 q^{16} - 4 q^{17} - 8 q^{18} + 8 q^{19} + 4 q^{21} - 8 q^{23} - 8 q^{24} - 4 q^{26} - 24 q^{27} - 8 q^{30} - 8 q^{31} + 8 q^{33} - 24 q^{34} + 24 q^{35} - 12 q^{36} - 8 q^{37} - 20 q^{39} - 28 q^{41} + 8 q^{44} + 72 q^{45} - 20 q^{46} + 64 q^{50} + 16 q^{54} + 8 q^{55} - 28 q^{56} + 4 q^{58} - 8 q^{59} + 20 q^{60} + 8 q^{61} - 32 q^{62} - 16 q^{63} - 24 q^{65} + 32 q^{66} - 16 q^{69} - 112 q^{71} + 8 q^{73} + 48 q^{74} + 40 q^{75} + 8 q^{76} + 16 q^{79} + 12 q^{81} - 4 q^{83} - 4 q^{84} + 32 q^{85} - 16 q^{86} - 144 q^{87} + 88 q^{89} - 8 q^{90} - 8 q^{91} + 52 q^{93} - 8 q^{94} - 48 q^{95} + 4 q^{96} - 64 q^{97} + 56 q^{99}+O(q^{100}) \) 56 * q + 8 * q^6 - 24 * q^9 + 24 * q^10 + 8 * q^11 + 24 * q^13 + 4 * q^15 + 28 * q^16 - 4 * q^17 - 8 * q^18 + 8 * q^19 + 4 * q^21 - 8 * q^23 - 8 * q^24 - 4 * q^26 - 24 * q^27 - 8 * q^30 - 8 * q^31 + 8 * q^33 - 24 * q^34 + 24 * q^35 - 12 * q^36 - 8 * q^37 - 20 * q^39 - 28 * q^41 + 8 * q^44 + 72 * q^45 - 20 * q^46 + 64 * q^50 + 16 * q^54 + 8 * q^55 - 28 * q^56 + 4 * q^58 - 8 * q^59 + 20 * q^60 + 8 * q^61 - 32 * q^62 - 16 * q^63 - 24 * q^65 + 32 * q^66 - 16 * q^69 - 112 * q^71 + 8 * q^73 + 48 * q^74 + 40 * q^75 + 8 * q^76 + 16 * q^79 + 12 * q^81 - 4 * q^83 - 4 * q^84 + 32 * q^85 - 16 * q^86 - 144 * q^87 + 88 * q^89 - 8 * q^90 - 8 * q^91 + 52 * q^93 - 8 * q^94 - 48 * q^95 + 4 * q^96 - 64 * q^97 + 56 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

Related objects

Downloads

Learn more