LMFDB - Embedded newform 546.2.bu.a.323.11

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			323.11
Character	$\chi$	$=$	546.323
Dual form			546.2.bu.a.71.11

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.965926 + 0.258819i) q^{2} +(0.442137 - 1.67467i) q^{3} +(0.866025 + 0.500000i) q^{4} +(0.359298 - 0.359298i) q^{5} +(0.860508 - 1.50317i) q^{6} +(-0.258819 - 0.965926i) q^{7} +(0.707107 + 0.707107i) q^{8} +(-2.60903 - 1.48087i) q^{9} +O(q^{10})$	\(q+(0.965926 + 0.258819i) q^{2} +(0.442137 - 1.67467i) q^{3} +(0.866025 + 0.500000i) q^{4} +(0.359298 - 0.359298i) q^{5} +(0.860508 - 1.50317i) q^{6} +(-0.258819 - 0.965926i) q^{7} +(0.707107 + 0.707107i) q^{8} +(-2.60903 - 1.48087i) 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} +(-0.442846 - 0.760564i) q^{15} +(0.500000 + 0.866025i) q^{16} +(0.334378 - 0.579160i) q^{17} +(-2.13685 - 2.10567i) q^{18} +(3.11361 - 0.834289i) q^{19} +(0.490810 - 0.131512i) q^{20} +(-1.73204 + 0.00636431i) q^{21} +(1.02200 - 1.77015i) q^{22} +(3.54554 + 6.14106i) q^{23} +(1.49681 - 0.871531i) 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} +(-0.230908 - 0.849265i) q^{30} +(-4.15805 - 4.15805i) q^{31} +(0.258819 + 0.965926i) q^{32} +(-3.07247 - 1.75887i) q^{33} +(0.472882 - 0.472882i) q^{34} +(-0.440048 - 0.254062i) q^{35} +(-1.51905 - 2.58698i) q^{36} +(-4.74608 - 1.27171i) q^{37} +3.22345 q^{38} +(-6.15655 - 1.04731i) q^{39} +0.508124 q^{40} +(5.56092 + 1.49004i) q^{41} +(-1.67467 - 0.442137i) q^{42} +(-4.09318 - 2.36320i) q^{43} +(1.44532 - 1.44532i) q^{44} +(-1.46949 + 0.405346i) q^{45} +(1.83531 + 6.84946i) q^{46} +(9.15457 + 9.15457i) q^{47} +(1.67137 - 0.454432i) 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} +(-4.47109 + 2.64752i) q^{54} +(-0.519301 - 0.899456i) q^{55} +(0.500000 - 0.866025i) q^{56} +(-0.0205150 - 5.58313i) q^{57} +(2.89491 - 0.775689i) q^{58} +(-1.53497 + 0.411293i) q^{59} +(-0.00323386 - 0.880090i) q^{60} +(1.05918 - 1.83455i) q^{61} +(-2.94019 - 5.09255i) q^{62} +(-0.755141 + 2.90341i) 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} +(11.8519 - 3.22242i) q^{69} +(-0.359298 - 0.359298i) q^{70} +(3.72928 + 13.9179i) q^{71} +(-0.797731 - 2.89199i) q^{72} +(2.50310 - 2.50310i) q^{73} +(-4.25522 - 2.45675i) q^{74} +(7.94096 + 2.09653i) q^{75} +(3.11361 + 0.834289i) q^{76} -2.04399 q^{77} +(-5.67571 - 2.60506i) q^{78} -14.0833 q^{79} +(0.490810 + 0.131512i) q^{80} +(4.61407 + 7.72725i) q^{81} +(4.98579 + 2.87854i) q^{82} +(2.91896 - 2.91896i) q^{83} +(-1.50317 - 0.860508i) q^{84} +(-0.0879495 - 0.328232i) q^{85} +(-3.34207 - 3.34207i) q^{86} +(-1.36195 - 5.00916i) 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} +(-8.80179 + 5.12493i) q^{93} +(6.47326 + 11.2120i) q^{94} +(0.818955 - 1.41847i) q^{95} +(1.73204 - 0.00636431i) q^{96} +(16.9769 - 4.54895i) q^{97} +(-0.965926 + 0.258819i) q^{98} +(-4.30398 + 4.36771i) 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^{19} + 4 q^{21} + 8 q^{23} + 8 q^{24} + 4 q^{26} - 24 q^{27} - 16 q^{30} - 8 q^{31} - 32 q^{33} - 24 q^{34} - 24 q^{35} - 12 q^{36} - 8 q^{37} - 60 q^{39} + 28 q^{41} - 8 q^{44} - 40 q^{45} - 20 q^{46} - 64 q^{50} + 8 q^{54} + 8 q^{55} + 28 q^{56} + 40 q^{57} + 4 q^{58} + 8 q^{59} + 4 q^{60} + 8 q^{61} + 32 q^{62} + 24 q^{65} + 32 q^{66} - 56 q^{69} + 112 q^{71} + 16 q^{72} + 8 q^{73} - 48 q^{74} - 40 q^{75} + 8 q^{76} - 8 q^{78} + 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} - 76 q^{93} - 8 q^{94} + 48 q^{95} - 4 q^{96} - 64 q^{97} - 40 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^19 + 4 * q^21 + 8 * q^23 + 8 * q^24 + 4 * q^26 - 24 * q^27 - 16 * q^30 - 8 * q^31 - 32 * q^33 - 24 * q^34 - 24 * q^35 - 12 * q^36 - 8 * q^37 - 60 * q^39 + 28 * q^41 - 8 * q^44 - 40 * q^45 - 20 * q^46 - 64 * q^50 + 8 * q^54 + 8 * q^55 + 28 * q^56 + 40 * q^57 + 4 * q^58 + 8 * q^59 + 4 * q^60 + 8 * q^61 + 32 * q^62 + 24 * q^65 + 32 * q^66 - 56 * q^69 + 112 * q^71 + 16 * q^72 + 8 * q^73 - 48 * q^74 - 40 * q^75 + 8 * q^76 - 8 * q^78 + 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 - 76 * q^93 - 8 * q^94 + 48 * q^95 - 4 * q^96 - 64 * q^97 - 40 * q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$157$	$365$	$379$
$\chi(n)$	$1$	$-1$	$e\left(\frac{7}{12}\right)$

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
$3$	0.442137	−	1.67467i	0.255268	−	0.966870i
$3$	0.442137	−	1.67467i	0.255268	−	0.966870i
$4$	0.866025	+	0.500000i	0.433013	+	0.250000i
$5$	0.359298	−	0.359298i	0.160683	−	0.160683i	−0.622186	−	0.782869i	$-0.713755\pi$
$5$	0.359298	−	0.359298i	0.160683	−	0.160683i	0.782869	+	0.622186i	$0.213755\pi$
$6$	0.860508	−	1.50317i	0.351301	−	0.613667i
$7$	−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
$9$	−2.60903	−	1.48087i	−0.869676	−	0.493622i
$10$	0.440048	−	0.254062i	0.139155	−	0.0803414i
$11$	0.529024	−	1.97435i	0.159507	−	0.595288i	−0.839170	−	0.543869i	$-0.816959\pi$
$11$	0.529024	−	1.97435i	0.159507	−	0.595288i	0.998677	−	0.0514190i	$-0.0163744\pi$
$12$	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
$15$	−0.442846	−	0.760564i	−0.114342	−	0.196377i
$16$	0.500000	+	0.866025i	0.125000	+	0.216506i
$17$	0.334378	−	0.579160i	0.0810986	−	0.140467i	−0.822623	−	0.568586i	$-0.807490\pi$
$17$	0.334378	−	0.579160i	0.0810986	−	0.140467i	0.903722	+	0.428120i	$0.140824\pi$
$18$	−2.13685	−	2.10567i	−0.503661	−	0.496312i
$19$	3.11361	−	0.834289i	0.714311	−	0.191399i	0.116679	−	0.993170i	$-0.462775\pi$
$19$	3.11361	−	0.834289i	0.714311	−	0.191399i	0.597632	+	0.801771i	$0.296108\pi$
$20$	0.490810	−	0.131512i	0.109748	−	0.0294070i
$21$	−1.73204	+	0.00636431i	−0.377962	+	0.00138881i
$22$	1.02200	−	1.77015i	0.217890	−	0.377397i
$23$	3.54554	+	6.14106i	0.739297	+	1.28050i	0.952812	+	0.303560i	$0.0981753\pi$
$23$	3.54554	+	6.14106i	0.739297	+	1.28050i	−0.213515	+	0.976940i	$0.568491\pi$
$24$	1.49681	−	0.871531i	0.305535	−	0.177901i
$25$			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	$-0.576907\pi$
$29$	2.59550	−	1.49852i	0.481973	−	0.278267i	0.721238	+	0.692687i	$0.243573\pi$
$30$	−0.230908	−	0.849265i	−0.0421578	−	0.155054i
$31$	−4.15805	−	4.15805i	−0.746808	−	0.746808i	0.227070	−	0.973878i	$-0.427085\pi$
$31$	−4.15805	−	4.15805i	−0.746808	−	0.746808i	−0.973878	+	0.227070i	$0.927085\pi$
$32$	0.258819	+	0.965926i	0.0457532	+	0.170753i
$33$	−3.07247	−	1.75887i	−0.534849	−	0.306180i
$34$	0.472882	−	0.472882i	0.0810986	−	0.0810986i
$35$	−0.440048	−	0.254062i	−0.0743817	−	0.0429443i
$36$	−1.51905	−	2.58698i	−0.253175	−	0.431164i
$37$	−4.74608	−	1.27171i	−0.780250	−	0.209067i	−0.153355	−	0.988171i	$-0.549008\pi$
$37$	−4.74608	−	1.27171i	−0.780250	−	0.209067i	−0.626895	+	0.779104i	$0.715675\pi$
$38$	3.22345			0.522912
$39$	−6.15655	−	1.04731i	−0.985837	−	0.167704i
$40$	0.508124			0.0803414
$41$	5.56092	+	1.49004i	0.868470	+	0.232706i	0.665426	−	0.746464i	$-0.268250\pi$
$41$	5.56092	+	1.49004i	0.868470	+	0.232706i	0.203044	+	0.979170i	$0.434917\pi$
$42$	−1.67467	−	0.442137i	−0.258407	−	0.0682233i
$43$	−4.09318	−	2.36320i	−0.624205	−	0.360385i	0.154300	−	0.988024i	$-0.450688\pi$
$43$	−4.09318	−	2.36320i	−0.624205	−	0.360385i	−0.778504	+	0.627639i	$0.784021\pi$
$44$	1.44532	−	1.44532i	0.217890	−	0.217890i
$45$	−1.46949	+	0.405346i	−0.219059	+	0.0604255i
$46$	1.83531	+	6.84946i	0.270601	+	1.00990i
$47$	9.15457	+	9.15457i	1.33533	+	1.33533i	0.900524	+	0.434807i	$0.143184\pi$
$47$	9.15457	+	9.15457i	1.33533	+	1.33533i	0.434807	+	0.900524i	$0.356816\pi$
$48$	1.67137	−	0.454432i	0.241242	−	0.0655916i
$49$	−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	$-0.0594202\pi$
$54$	−4.47109	+	2.64752i	−0.608438	+	0.360282i
$55$	−0.519301	−	0.899456i	−0.0700225	−	0.121283i
$56$	0.500000	−	0.866025i	0.0668153	−	0.115728i
$57$	−0.0205150	−	5.58313i	−0.00271728	−	0.739504i
$58$	2.89491	−	0.775689i	0.380120	−	0.101853i
$59$	−1.53497	+	0.411293i	−0.199836	+	0.0535458i	−0.357348	−	0.933971i	$-0.616319\pi$
$59$	−1.53497	+	0.411293i	−0.199836	+	0.0535458i	0.157513	+	0.987517i	$0.449652\pi$
$60$	−0.00323386	−	0.880090i	−0.000417489	−	0.113619i
$61$	1.05918	−	1.83455i	0.135614	−	0.234890i	−0.790218	−	0.612826i	$-0.790033\pi$
$61$	1.05918	−	1.83455i	0.135614	−	0.234890i	0.925832	+	0.377936i	$0.123366\pi$
$62$	−2.94019	−	5.09255i	−0.373404	−	0.646755i
$63$	−0.755141	+	2.90341i	−0.0951388	+	0.365795i
$64$			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	0.310006	+	0.950735i	$0.399669\pi$
$67$	−3.55109	+	13.2528i	−0.433834	+	1.61909i	−0.743840	+	0.668357i	$0.766998\pi$
$68$	0.579160	−	0.334378i	0.0702334	−	0.0405493i
$69$	11.8519	−	3.22242i	1.42680	−	0.387934i
$70$	−0.359298	−	0.359298i	−0.0429443	−	0.0429443i
$71$	3.72928	+	13.9179i	0.442585	+	1.65175i	0.722236	+	0.691647i	$0.243114\pi$
$71$	3.72928	+	13.9179i	0.442585	+	1.65175i	−0.279652	+	0.960102i	$0.590219\pi$
$72$	−0.797731	−	2.89199i	−0.0940135	−	0.340825i
$73$	2.50310	−	2.50310i	0.292965	−	0.292965i	−0.545285	−	0.838251i	$-0.683579\pi$
$73$	2.50310	−	2.50310i	0.292965	−	0.292965i	0.838251	+	0.545285i	$0.183579\pi$
$74$	−4.25522	−	2.45675i	−0.494659	−	0.285591i
$75$	7.94096	+	2.09653i	0.916943	+	0.242087i
$76$	3.11361	+	0.834289i	0.357155	+	0.0956995i
$77$	−2.04399			−0.232935
$78$	−5.67571	−	2.60506i	−0.642648	−	0.294965i
$79$	−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
$81$	4.61407	+	7.72725i	0.512674	+	0.858583i
$82$	4.98579	+	2.87854i	0.550588	+	0.317882i
$83$	2.91896	−	2.91896i	0.320398	−	0.320398i	−0.528522	−	0.848920i	$-0.677254\pi$
$83$	2.91896	−	2.91896i	0.320398	−	0.320398i	0.848920	+	0.528522i	$0.177254\pi$
$84$	−1.50317	−	0.860508i	−0.164010	−	0.0938891i
$85$	−0.0879495	−	0.328232i	−0.00953947	−	0.0356018i
$86$	−3.34207	−	3.34207i	−0.360385	−	0.360385i
$87$	−1.36195	−	5.00916i	−0.146016	−	0.537038i
$88$	1.77015	−	1.02200i	0.188699	−	0.108945i
$89$	−3.28237	+	12.2500i	−0.347930	+	1.29849i	0.541221	+	0.840881i	$0.317962\pi$
$89$	−3.28237	+	12.2500i	−0.347930	+	1.29849i	−0.889151	+	0.457614i	$0.848704\pi$
$90$	−1.52433	+	0.0112023i	−0.160679	+	0.00118083i
$91$	−3.38519	+	1.24116i	−0.354865	+	0.130109i
$92$			7.09109i			0.739297i
$93$	−8.80179	+	5.12493i	−0.912703	+	0.531430i
$94$	6.47326	+	11.2120i	0.667665	+	1.15643i
$95$	0.818955	−	1.41847i	0.0840230	−	0.145532i
$96$	1.73204	−	0.00636431i	0.176776	−	0.000649554i
$97$	16.9769	−	4.54895i	1.72374	−	0.461876i	0.745018	−	0.667045i	$-0.232441\pi$
$97$	16.9769	−	4.54895i	1.72374	−	0.461876i	0.978727	+	0.205169i	$0.0657744\pi$
$98$	−0.965926	+	0.258819i	−0.0975732	+	0.0261447i
$99$	−4.30398	+	4.36771i	−0.432567	+	0.438972i
$100$	−2.37091	+	4.10653i	−0.237091	+	0.410653i
$101$	−2.35547	−	4.07980i	−0.234378	−	0.405955i	0.724713	−	0.689050i	$-0.241972\pi$
$101$	−2.35547	−	4.07980i	−0.234378	−	0.405955i	−0.959092	+	0.283095i	$0.908639\pi$
$102$	−0.582842	−	1.00100i	−0.0577099	−	0.0991137i
$103$			0.191339i			0.0188532i	0.999956	+	0.00942662i	$0.00300063\pi$
$103$			0.191339i			0.0188532i	−0.999956	+	0.00942662i	$0.996999\pi$
$104$	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	$-0.836538\pi$
$107$	−9.11400	+	5.26197i	−0.881084	+	0.508694i	−0.0100681	+	0.999949i	$0.503205\pi$
$108$	−5.00397	+	1.40011i	−0.481507	+	0.134725i
$109$	0.435226	+	0.435226i	0.0416871	+	0.0416871i	0.727643	−	0.685956i	$-0.240616\pi$
$109$	0.435226	+	0.435226i	0.0416871	+	0.0416871i	−0.685956	+	0.727643i	$0.740616\pi$
$110$	−0.268810	−	1.00321i	−0.0256300	−	0.0956526i
$111$	−4.22811	+	7.38584i	−0.401314	+	0.701032i
$112$	0.707107	−	0.707107i	0.0668153	−	0.0668153i
$113$	−4.97841	−	2.87429i	−0.468330	−	0.270390i	0.247211	−	0.968962i	$-0.420486\pi$
$113$	−4.97841	−	2.87429i	−0.468330	−	0.270390i	−0.715540	+	0.698572i	$0.753819\pi$
$114$	1.42521	−	5.39820i	0.133483	−	0.505588i
$115$	3.48038	+	0.932564i	0.324547	+	0.0869620i
$116$	2.99703			0.278267
$117$	−4.47594	+	9.84713i	−0.413801	+	0.910368i
$118$	−1.58911			−0.146290
$119$	−0.645969	−	0.173087i	−0.0592159	−	0.0158668i
$120$	0.224661	−	0.850939i	0.0205086	−	0.0776798i
$121$	5.90810	+	3.41105i	0.537100	+	0.310095i
$122$	1.49790	−	1.49790i	0.135614	−	0.135614i
$123$	4.95402	−	8.65390i	0.446689	−	0.780295i
$124$	−1.52195	−	5.68001i	−0.136675	−	0.510080i
$125$	3.50021	+	3.50021i	0.313068	+	0.313068i
$126$	−1.48087	+	2.60903i	−0.131926	+	0.232431i
$127$	19.0710	−	11.0106i	1.69228	−	0.977036i	0.739599	−	0.673047i	$-0.235015\pi$
$127$	19.0710	−	11.0106i	1.69228	−	0.977036i	0.952676	−	0.303988i	$-0.0983184\pi$
$128$	−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	$0.927612\pi$
$132$	−1.78140	−	3.05947i	−0.155051	−	0.266292i
$133$	−1.61172	−	2.79159i	−0.139754	−	0.242061i
$134$	−6.86017	+	11.8822i	−0.592629	+	1.02646i
$135$	0.0291042	+	2.64013i	0.00250489	+	0.227226i
$136$	0.645969	−	0.173087i	0.0553914	−	0.0148421i
$137$	4.58404	−	1.22829i	0.391641	−	0.104940i	−0.0576244	−	0.998338i	$-0.518353\pi$
$137$	4.58404	−	1.22829i	0.391641	−	0.104940i	0.449265	+	0.893399i	$0.351686\pi$
$138$	12.2820	−	0.0451299i	1.04552	−	0.00384171i
$139$	−4.84605	+	8.39360i	−0.411036	+	0.711936i	−0.995003	−	0.0998417i	$-0.968166\pi$
$139$	−4.84605	+	8.39360i	−0.411036	+	0.711936i	0.583967	+	0.811777i	$0.301500\pi$
$140$	−0.254062	−	0.440048i	−0.0214722	−	0.0371909i
$141$	19.3784	−	11.2833i	1.63196	−	0.950224i
$142$			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
$147$	0.454432	+	1.67137i	0.0374809	+	0.137853i
$148$	−3.47437	−	3.47437i	−0.285591	−	0.285591i
$149$	−3.08364	−	11.5083i	−0.252622	−	0.942798i	−0.969398	−	0.245494i	$-0.921050\pi$
$149$	−3.08364	−	11.5083i	−0.252622	−	0.942798i	0.716776	−	0.697303i	$-0.245617\pi$
$150$	7.12776	+	4.08037i	0.581979	+	0.333160i
$151$	−7.88429	+	7.88429i	−0.641615	+	0.641615i	−0.950952	−	0.309338i	$-0.899893\pi$
$151$	−7.88429	+	7.88429i	−0.641615	+	0.641615i	0.309338	+	0.950952i	$0.399893\pi$
$152$	2.79159	+	1.61172i	0.226427	+	0.130728i
$153$	−1.73006	+	1.01588i	−0.139867	+	0.0821287i
$154$	−1.97435	−	0.529024i	−0.159097	−	0.0426300i
$155$	−2.98796			−0.239999
$156$	−4.80808	−	3.98527i	−0.384954	−	0.319077i
$157$	−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
$159$	−4.52539	−	1.19477i	−0.358886	−	0.0947513i
$160$	0.440048	+	0.254062i	0.0347889	+	0.0200854i
$161$	5.01416	−	5.01416i	0.395171	−	0.395171i
$162$	2.45689	+	8.65816i	0.193031	+	0.680249i
$163$	−2.79695	−	10.4384i	−0.219074	−	0.817595i	−0.984693	−	0.174300i	$-0.944234\pi$
$163$	−2.79695	−	10.4384i	−0.219074	−	0.817595i	0.765619	−	0.643295i	$-0.222433\pi$
$164$	4.07088	+	4.07088i	0.317882	+	0.317882i
$165$	−1.73589	+	0.471974i	−0.135139	+	0.0367431i
$166$	3.57498	−	2.06402i	0.277473	−	0.160199i
$167$	−1.50540	+	5.61824i	−0.116492	+	0.434752i	−0.999394	−	0.0348038i	$-0.988919\pi$
$167$	−1.50540	+	5.61824i	−0.116492	+	0.434752i	0.882903	+	0.469556i	$0.155586\pi$
$168$	−1.22924	−	1.22024i	−0.0948377	−	0.0941433i
$169$	−12.7917	+	2.31779i	−0.983978	+	0.178291i
$170$		−	0.339811i		−	0.0260623i
$171$	−9.35897	−	2.43416i	−0.715698	−	0.186145i
$172$	−2.36320	−	4.09318i	−0.180192	−	0.312102i
$173$	8.73192	−	15.1241i	0.663876	−	1.14987i	−0.315713	−	0.948855i	$-0.602244\pi$
$173$	8.73192	−	15.1241i	0.663876	−	1.14987i	0.979589	−	0.201012i	$-0.0644230\pi$
$174$	−0.0190740	−	5.19097i	−0.00144600	−	0.393527i
$175$	4.58024	−	1.22727i	0.346233	−	0.0927729i
$176$	1.97435	−	0.529024i	0.148822	−	0.0398767i
$177$	0.0101136	+	2.75241i	0.000760185	+	0.206884i
$178$	−6.34105	+	10.9830i	−0.475282	+	0.823212i
$179$	−0.654352	−	1.13337i	−0.0489086	−	0.0847121i	0.840535	−	0.541758i	$-0.182241\pi$
$179$	−0.654352	−	1.13337i	−0.0489086	−	0.0847121i	−0.889443	+	0.457046i	$0.848908\pi$
$180$	−1.47529	−	0.383705i	−0.109962	−	0.0285997i
$181$		−	4.39091i		−	0.326373i	−0.986595	−	0.163187i	$-0.947823\pi$
$181$		−	4.39091i		−	0.326373i	0.986595	−	0.163187i	$-0.0521773\pi$
$182$	−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
$186$	−9.82831	+	2.67223i	−0.720646	+	0.195938i
$187$	−0.966568	−	0.966568i	−0.0706824	−	0.0706824i
$188$	3.35080	+	12.5054i	0.244383	+	0.912048i
$189$	4.52837	+	2.54831i	0.329390	+	0.185363i
$190$	1.15818	−	1.15818i	0.0840230	−	0.0840230i
$191$	−14.1764	−	8.18474i	−1.02577	−	0.592227i	−0.109998	−	0.993932i	$-0.535084\pi$
$191$	−14.1764	−	8.18474i	−1.02577	−	0.592227i	−0.915769	+	0.401705i	$0.868418\pi$
$192$	1.67467	+	0.442137i	0.120859	+	0.0319085i
$193$	−6.50091	−	1.74191i	−0.467946	−	0.125386i	0.0171385	−	0.999853i	$-0.494544\pi$
$193$	−6.50091	−	1.74191i	−0.467946	−	0.125386i	−0.485084	+	0.874467i	$0.661211\pi$
$194$	17.5758			1.26187
$195$	−2.58833	+	1.83574i	−0.185354	+	0.131460i
$196$	−1.00000			−0.0714286
$197$	1.67284	+	0.448237i	0.119185	+	0.0319356i	0.317919	−	0.948118i	$-0.397016\pi$
$197$	1.67284	+	0.448237i	0.119185	+	0.0319356i	−0.198733	+	0.980054i	$0.563683\pi$
$198$	−5.28778	+	3.10493i	−0.375786	+	0.220658i
$199$	−9.73076	−	5.61806i	−0.689796	−	0.398254i	0.113740	−	0.993511i	$-0.463717\pi$
$199$	−9.73076	−	5.61806i	−0.689796	−	0.398254i	−0.803535	+	0.595257i	$0.797050\pi$
$200$	−3.35297	+	3.35297i	−0.237091	+	0.237091i
$201$	20.6240	+	11.8065i	1.45471	+	0.832764i
$202$	−1.21928	−	4.55042i	−0.0857884	−	0.320167i
$203$	−2.11922	−	2.11922i	−0.148740	−	0.148740i
$204$	−0.303904	−	1.11774i	−0.0212776	−	0.0782576i
$205$	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
$210$	−0.760564	+	0.442846i	−0.0524839	+	0.0305593i
$211$	3.34979	+	5.80200i	0.230609	+	0.399426i	0.957987	−	0.286810i	$-0.0925948\pi$
$211$	3.34979	+	5.80200i	0.230609	+	0.399426i	−0.727378	+	0.686236i	$0.759262\pi$
$212$	1.35113	−	2.34022i	0.0927959	−	0.160727i
$213$	24.9567	−	0.0917023i	1.71000	−	0.00628334i
$214$	−10.1653	+	2.72380i	−0.694889	+	0.186195i
$215$	−2.31976	+	0.621579i	−0.158207	+	0.0423913i
$216$	−5.19584	+	0.0572777i	−0.353532	+	0.00389726i
$217$	−2.94019	+	5.09255i	−0.199593	+	0.345705i
$218$	0.307751	+	0.533041i	0.0208435	+	0.0361021i
$219$	−3.08515	−	5.29857i	−0.208475	−	0.358044i
$220$		−	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	−0.898867	−	0.438222i	$-0.855608\pi$
$223$	1.47369	−	5.49990i	0.0986858	−	0.368301i	0.997552	+	0.0699217i	$0.0222750\pi$
$224$	0.866025	−	0.500000i	0.0578638	−	0.0334077i
$225$	7.02199	−	12.3715i	0.468133	−	0.824768i
$226$	−4.06486	−	4.06486i	−0.270390	−	0.270390i
$227$	3.85346	+	14.3813i	0.255763	+	0.954521i	0.967664	+	0.252241i	$0.0811677\pi$
$227$	3.85346	+	14.3813i	0.255763	+	0.954521i	−0.711901	+	0.702280i	$0.752166\pi$
$228$	2.77380	−	4.84539i	0.183699	−	0.320894i
$229$	10.2552	−	10.2552i	0.677684	−	0.677684i	−0.281791	−	0.959476i	$-0.590929\pi$
$229$	10.2552	−	10.2552i	0.677684	−	0.677684i	0.959476	+	0.281791i	$0.0909286\pi$
$230$	3.12042	+	1.80158i	0.205754	+	0.118792i
$231$	−0.903726	+	3.42301i	−0.0594608	+	0.225218i
$232$	2.89491	+	0.775689i	0.190060	+	0.0509265i
$233$	6.84615			0.448506			0.224253	−	0.974531i	$-0.428006\pi$
$233$	6.84615			0.448506			0.224253	+	0.974531i	$0.428006\pi$
$234$	−6.87205	+	8.35314i	−0.449240	+	0.546062i
$235$	6.57843			0.429130
$236$	−1.53497	−	0.411293i	−0.0999178	−	0.0267729i
$237$	−6.22675	+	23.5849i	−0.404471	+	1.53200i
$238$	−0.579160	−	0.334378i	−0.0375414	−	0.0216745i
$239$	−3.42357	+	3.42357i	−0.221452	+	0.221452i	−0.809110	−	0.587658i	$-0.800050\pi$
$239$	−3.42357	+	3.42357i	−0.221452	+	0.221452i	0.587658	+	0.809110i	$0.300050\pi$
$240$	0.437245	−	0.763798i	0.0282240	−	0.0493029i
$241$	−4.31678	−	16.1105i	−0.278068	−	1.03777i	−0.953757	−	0.300578i	$-0.902820\pi$
$241$	−4.31678	−	16.1105i	−0.278068	−	1.03777i	0.675689	−	0.737187i	$-0.263846\pi$
$242$	4.82395	+	4.82395i	0.310095	+	0.310095i
$243$	14.9806	−	4.31053i	0.961008	−	0.276521i
$244$	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
$249$	−3.59771	−	6.17888i	−0.227996	−	0.391570i
$250$	2.47502	+	4.28687i	0.156534	+	0.271125i
$251$	8.20582	−	14.2129i	0.517946	−	0.897110i	−0.481836	−	0.876261i	$-0.660030\pi$
$251$	8.20582	−	14.2129i	0.517946	−	0.897110i	0.999783	−	0.0208483i	$-0.00663670\pi$
$252$	−2.10567	+	2.13685i	−0.132645	+	0.134609i
$253$	14.0003	−	3.75136i	0.880189	−	0.235846i
$254$	21.2709	−	5.69952i	1.33466	−	0.357620i
$255$	−0.588566	+	0.00216266i	−0.0368574	+	0.000135431i
$256$	−0.500000	+	0.866025i	−0.0312500	+	0.0541266i
$257$	−6.66638	−	11.5465i	−0.415837	−	0.720251i	0.579679	−	0.814845i	$-0.303178\pi$
$257$	−6.66638	−	11.5465i	−0.415837	−	0.720251i	−0.995516	+	0.0945940i	$0.969845\pi$
$258$	−7.07451	+	4.11921i	−0.440440	+	0.256451i
$259$			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	$-0.580151\pi$
$263$	7.54086	−	4.35372i	0.464989	−	0.268462i	0.714140	+	0.700003i	$0.246818\pi$
$264$	−0.928856	−	3.41628i	−0.0571672	−	0.210257i
$265$	−0.970915	−	0.970915i	−0.0596428	−	0.0596428i
$266$	−0.834289	−	3.11361i	−0.0511535	−	0.190908i
$267$	19.0634	+	10.9130i	1.16666	+	0.667868i
$268$	−9.70175	+	9.70175i	−0.592629	+	0.592629i
$269$	−18.8995	−	10.9116i	−1.15232	−	0.665295i	−0.202872	−	0.979205i	$-0.565028\pi$
$269$	−18.8995	−	10.9116i	−1.15232	−	0.665295i	−0.949453	+	0.313910i	$0.898361\pi$
$270$	−0.655203	+	2.55770i	−0.0398744	+	0.155657i
$271$	−6.40055	−	1.71502i	−0.388806	−	0.104180i	0.0591201	−	0.998251i	$-0.481171\pi$
$271$	−6.40055	−	1.71502i	−0.388806	−	0.104180i	−0.447926	+	0.894071i	$0.647837\pi$
$272$	0.668756			0.0405493
$273$	0.581809	+	6.21784i	0.0352127	+	0.376321i
$274$	4.74574			0.286701
$275$	9.36197	+	2.50853i	0.564548	+	0.151270i
$276$	11.8752	+	3.13523i	0.714804	+	0.188719i
$277$	1.07655	+	0.621545i	0.0646834	+	0.0373450i	0.531993	−	0.846749i	$-0.321443\pi$
$277$	1.07655	+	0.621545i	0.0646834	+	0.0373450i	−0.467309	+	0.884094i	$0.654777\pi$
$278$	−6.85334	+	6.85334i	−0.411036	+	0.411036i
$279$	4.69096	+	17.0060i	0.280840	+	1.01812i
$280$	−0.131512	−	0.490810i	−0.00785935	−	0.0293315i
$281$	23.6538	+	23.6538i	1.41107	+	1.41107i	0.752674	+	0.658394i	$0.228764\pi$
$281$	23.6538	+	23.6538i	1.41107	+	1.41107i	0.658394	+	0.752674i	$0.271236\pi$
$282$	21.6385	−	5.88331i	1.28855	−	0.350346i
$283$	−16.5925	+	9.57970i	−0.986323	+	0.569454i	−0.904173	−	0.427166i	$-0.859512\pi$
$283$	−16.5925	+	9.57970i	−0.986323	+	0.569454i	−0.0821500	+	0.996620i	$0.526179\pi$
$284$	−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
$288$	0.755141	−	2.90341i	0.0444971	−	0.171085i
$289$	8.27638	+	14.3351i	0.486846	+	0.843242i
$290$	0.761431	−	1.31884i	0.0447128	−	0.0774448i
$291$	−0.111858	−	30.4420i	−0.00655722	−	1.78454i
$292$	3.41930	−	0.916197i	0.200099	−	0.0536164i
$293$	20.5467	−	5.50546i	1.20035	−	0.321633i	0.397381	−	0.917654i	$-0.369919\pi$
$293$	20.5467	−	5.50546i	1.20035	−	0.321633i	0.802969	+	0.596021i	$0.203253\pi$
$294$	0.00636431	+	1.73204i	0.000371174	+	0.101015i
$295$	−0.403733	+	0.699287i	−0.0235063	+	0.0407141i
$296$	−2.45675	−	4.25522i	−0.142796	−	0.247329i
$297$	5.41152	+	9.13887i	0.314008	+	0.530291i
$298$		−	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
$303$	−7.87375	+	2.14081i	−0.452335	+	0.122986i
$304$	2.27932	+	2.27932i	0.130728	+	0.130728i
$305$	−0.278589	−	1.03971i	−0.0159520	−	0.0595336i
$306$	−1.93404	+	0.533488i	−0.110562	+	0.0304975i
$307$	5.73682	−	5.73682i	0.327418	−	0.327418i	−0.524186	−	0.851604i	$-0.675630\pi$
$307$	5.73682	−	5.73682i	0.327418	−	0.327418i	0.851604	+	0.524186i	$0.175630\pi$
$308$	−1.77015	−	1.02200i	−0.100864	−	0.0582337i
$309$	0.320430	+	0.0845983i	0.0182286	+	0.00481263i
$310$	−2.88615	−	0.773341i	−0.163922	−	0.0439228i
$311$	−31.1579			−1.76681			−0.883403	−	0.468615i	$-0.844753\pi$
$311$	−31.1579			−1.76681			−0.883403	+	0.468615i	$0.844753\pi$
$312$	−3.61278	−	5.09390i	−0.204533	−	0.288385i
$313$	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
$315$	0.771867	+	1.31451i	0.0434898	+	0.0740641i
$316$	−12.1965	−	7.04165i	−0.686107	−	0.396124i
$317$	0.227144	−	0.227144i	0.0127577	−	0.0127577i	−0.700699	−	0.713457i	$-0.747128\pi$
$317$	0.227144	−	0.227144i	0.0127577	−	0.0127577i	0.713457	+	0.700699i	$0.247128\pi$
$318$	−4.06196	−	2.32531i	−0.227783	−	0.130397i
$319$	−1.58550	−	5.91718i	−0.0887711	−	0.331298i
$320$	0.359298	+	0.359298i	0.0200854	+	0.0200854i
$321$	4.78242	+	17.5894i	0.266929	+	0.981747i
$322$	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
$327$	0.921288	−	0.536429i	0.0509474	−	0.0296646i
$328$	2.87854	+	4.98579i	0.158941	+	0.275294i
$329$	6.47326	−	11.2120i	0.356882	−	0.618138i
$330$	−1.79890	+	0.00660998i	−0.0990261	+	0.000363867i
$331$	16.7569	−	4.49001i	0.921045	−	0.246793i	0.233013	−	0.972474i	$-0.425142\pi$
$331$	16.7569	−	4.49001i	0.921045	−	0.246793i	0.688032	+	0.725681i	$0.258475\pi$
$332$	3.98738	−	1.06841i	0.218836	−	0.0586369i
$333$	10.4994	+	10.3462i	0.575365	+	0.566970i
$334$	−2.90821	+	5.03717i	−0.159130	+	0.275622i
$335$	3.48582	+	6.03761i	0.190451	+	0.329870i
$336$	−0.871531	−	1.49681i	−0.0475459	−	0.0816576i
$337$		−	27.8659i		−	1.51795i	−0.651119	−	0.758976i	$-0.725700\pi$
$337$		−	27.8659i		−	1.51795i	0.651119	−	0.758976i	$-0.274300\pi$
$338$	−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
$342$	−8.41006	−	4.77349i	−0.454764	−	0.258121i
$343$	0.707107	+	0.707107i	0.0381802	+	0.0381802i
$344$	−1.22328	−	4.56535i	−0.0659550	−	0.246147i
$345$	3.10054	−	5.41616i	0.166927	−	0.291596i
$346$	12.3488	−	12.3488i	0.663876	−	0.663876i
$347$	−26.0998	−	15.0687i	−1.40111	−	0.808932i	−0.406605	−	0.913604i	$-0.633287\pi$
$347$	−26.0998	−	15.0687i	−1.40111	−	0.808932i	−0.994507	+	0.104672i	$0.966621\pi$
$348$	1.32510	−	5.01903i	0.0710328	−	0.269048i
$349$	−20.9974	−	5.62624i	−1.12397	−	0.301166i	−0.351479	−	0.936196i	$-0.614321\pi$
$349$	−20.9974	−	5.62624i	−1.12397	−	0.301166i	−0.772488	+	0.635030i	$0.780988\pi$
$350$	4.74181			0.253460
$351$	14.5117	+	11.8495i	0.774577	+	0.632479i
$352$	2.04399			0.108945
$353$	1.42334	+	0.381382i	0.0757565	+	0.0202989i	0.296498	−	0.955033i	$-0.404181\pi$
$353$	1.42334	+	0.381382i	0.0757565	+	0.0202989i	−0.220742	+	0.975332i	$0.570848\pi$
$354$	−0.702607	+	2.66124i	−0.0373431	+	0.141443i
$355$	6.34059	+	3.66074i	0.336523	+	0.194292i
$356$	−8.96760	+	8.96760i	−0.475282	+	0.475282i
$357$	−0.575470	+	1.00526i	−0.0304571	+	0.0532038i
$358$	−0.338717	−	1.26411i	−0.0179018	−	0.0668103i
$359$	−14.7360	−	14.7360i	−0.777736	−	0.777736i	0.201709	−	0.979445i	$-0.435350\pi$
$359$	−14.7360	−	14.7360i	−0.777736	−	0.777736i	−0.979445	+	0.201709i	$0.935350\pi$
$360$	−1.32571	−	0.752464i	−0.0698711	−	0.0396583i
$361$	−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
$366$	−1.84621	−	3.17077i	−0.0965030	−	0.165739i
$367$	2.93561	+	5.08463i	0.153238	+	0.265416i	0.932416	−	0.361387i	$-0.117697\pi$
$367$	2.93561	+	5.08463i	0.153238	+	0.265416i	−0.779178	+	0.626803i	$0.784363\pi$
$368$	−3.54554	+	6.14106i	−0.184824	+	0.320125i
$369$	−12.3020	−	12.1226i	−0.640419	−	0.631075i
$370$	−2.41159	+	0.646185i	−0.125373	+	0.0335936i
$371$	−2.61018	+	0.699396i	−0.135514	+	0.0363108i
$372$	−10.1850	+	0.0374245i	−0.528070	+	0.00194037i
$373$	1.11041	−	1.92328i	0.0574948	−	0.0995838i	−0.835845	−	0.548965i	$-0.815022\pi$
$373$	1.11041	−	1.92328i	0.0574948	−	0.0995838i	0.893340	+	0.449381i	$0.148355\pi$
$374$	−0.683467	−	1.18380i	−0.0353412	−	0.0612128i
$375$	7.40927	−	4.31412i	0.382613	−	0.222780i
$376$			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	−0.999947	−	0.0102492i	$-0.996738\pi$
$379$	−2.50830	+	9.36112i	−0.128843	+	0.480849i	0.871105	+	0.491098i	$0.163404\pi$
$380$	1.41847	−	0.818955i	0.0727660	−	0.0420115i
$381$	−10.0072	−	36.8058i	−0.512683	−	1.88562i
$382$	−11.5750	−	11.5750i	−0.592227	−	0.592227i
$383$	−2.19974	−	8.20953i	−0.112401	−	0.419487i	0.886678	−	0.462387i	$-0.153007\pi$
$383$	−2.19974	−	8.20953i	−0.112401	−	0.419487i	−0.999079	+	0.0428999i	$0.986340\pi$
$384$	1.50317	+	0.860508i	0.0767084	+	0.0439126i
$385$	−0.734402	+	0.734402i	−0.0374286	+	0.0374286i
$386$	−5.82856	−	3.36512i	−0.296666	−	0.171280i
$387$	7.17965	+	12.2271i	0.364962	+	0.621539i
$388$	16.9769	+	4.54895i	0.861872	+	0.230938i
$389$	−0.833952			−0.0422830			−0.0211415	−	0.999776i	$-0.506730\pi$
$389$	−0.833952			−0.0422830			−0.0211415	+	0.999776i	$0.506730\pi$
$390$	−2.97526	+	1.10328i	−0.150658	+	0.0558667i
$391$	4.74221			0.239824
$392$	−0.965926	−	0.258819i	−0.0487866	−	0.0130723i
$393$	8.64295	+	2.28187i	0.435979	+	0.115105i
$394$	1.49983	+	0.865928i	0.0755604	+	0.0436248i
$395$	−5.06010	+	5.06010i	−0.254601	+	0.254601i
$396$	−5.91122	+	1.63056i	−0.297050	+	0.0819386i
$397$	−8.12662	−	30.3290i	−0.407863	−	1.52217i	−0.798713	−	0.601713i	$-0.794485\pi$
$397$	−8.12662	−	30.3290i	−0.407863	−	1.52217i	0.390849	−	0.920455i	$-0.372181\pi$
$398$	−7.94514	−	7.94514i	−0.398254	−	0.398254i
$399$	−5.38758	+	1.46484i	−0.269717	+	0.0733336i
$400$	−4.10653	+	2.37091i	−0.205326	+	0.118545i
$401$	−3.71231	+	13.8545i	−0.185384	+	0.691863i	0.809164	+	0.587583i	$0.199920\pi$
$401$	−3.71231	+	13.8545i	−0.185384	+	0.691863i	−0.994548	+	0.104280i	$0.966746\pi$
$402$	16.8656	+	16.7421i	0.841177	+	0.835018i
$403$	−13.5900	+	16.2738i	−0.676968	+	0.810654i
$404$		−	4.71095i		−	0.234378i
$405$	4.43421	+	1.11856i	0.220338	+	0.0555817i
$406$	−1.49852	−	2.59550i	−0.0743701	−	0.128813i
$407$	−5.02158	+	8.69763i	−0.248911	+	0.431126i
$408$	−0.00425617	−	1.15831i	−0.000210712	−	0.0573450i
$409$	−0.226783	+	0.0607664i	−0.0112137	+	0.00300470i	−0.264422	−	0.964407i	$-0.585181\pi$
$409$	−0.226783	+	0.0607664i	−0.0112137	+	0.00300470i	0.253208	+	0.967412i	$0.418514\pi$
$410$	2.82564	−	0.757127i	0.139548	−	0.0373918i
$411$	−0.0302034	−	8.21981i	−0.00148982	−	0.405453i
$412$	−0.0956697	+	0.165705i	−0.00471331	+	0.00816369i
$413$	0.794557	+	1.37621i	0.0390976	+	0.0677190i
$414$	5.35477	−	20.5883i	0.263173	−	1.01186i
$415$		−	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	$-0.869242\pi$
$419$	−21.0709	+	12.1653i	−1.02938	+	0.594312i	−0.112573	+	0.993644i	$0.535909\pi$
$420$	−0.849265	+	0.230908i	−0.0414399	+	0.0112671i
$421$	24.3907	+	24.3907i	1.18873	+	1.18873i	0.977419	+	0.211312i	$0.0677735\pi$
$421$	24.3907	+	24.3907i	1.18873	+	1.18873i	0.211312	+	0.977419i	$0.432226\pi$
$422$	1.73398	+	6.47130i	0.0844087	+	0.315018i
$423$	−10.3278	−	37.4412i	−0.502157	−	1.82045i
$424$	1.91078	−	1.91078i	0.0927959	−	0.0927959i
$425$	2.74627	+	1.58556i	0.133213	+	0.0769108i
$426$	24.1300	+	6.37069i	1.16910	+	0.308661i
$427$	−2.04617	−	0.548270i	−0.0990212	−	0.0265327i
$428$	−10.5239			−0.508694
$429$	−5.32472	+	11.6011i	−0.257080	+	0.560107i
$430$	−2.40160			−0.115815
$431$	8.73059	+	2.33935i	0.420538	+	0.112683i	0.462881	−	0.886420i	$-0.346816\pi$
$431$	8.73059	+	2.33935i	0.420538	+	0.112683i	−0.0423435	+	0.999103i	$0.513482\pi$
$432$	−5.03362	−	1.28946i	−0.242180	−	0.0620390i
$433$	6.82739	+	3.94180i	0.328104	+	0.189431i	0.654999	−	0.755630i	$-0.272669\pi$
$433$	6.82739	+	3.94180i	0.328104	+	0.189431i	−0.326895	+	0.945061i	$0.606002\pi$
$434$	−4.15805	+	4.15805i	−0.199593	+	0.199593i
$435$	−2.28912	−	1.31044i	−0.109755	−	0.0628306i
$436$	0.159304	+	0.594529i	0.00762926	+	0.0284728i
$437$	16.1629	+	16.1629i	0.773174	+	0.773174i
$438$	−1.60865	−	5.91652i	−0.0768643	−	0.282702i
$439$	−25.2760	+	14.5931i	−1.20636	+	0.696490i	−0.961961	−	0.273185i	$-0.911923\pi$
$439$	−25.2760	+	14.5931i	−1.20636	+	0.696490i	−0.244395	+	0.969676i	$0.578589\pi$
$440$	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	$-0.277225\pi$
$444$	−7.35456	+	4.28227i	−0.349032	+	0.203227i
$445$	3.22204	+	5.58074i	0.152739	+	0.264552i
$446$	2.84696	−	4.93107i	0.134807	−	0.233493i
$447$	−20.6360	+	0.0758261i	−0.976049	+	0.00358645i
$448$	0.965926	−	0.258819i	0.0456357	−	0.0122281i
$449$	−33.3902	+	8.94687i	−1.57578	+	0.422229i	−0.937616	−	0.347672i	$-0.886972\pi$
$449$	−33.3902	+	8.94687i	−1.57578	+	0.422229i	−0.638163	+	0.769901i	$0.720305\pi$
$450$	9.98471	−	10.1325i	0.470684	−	0.477653i
$451$	5.88373	−	10.1909i	0.277054	−	0.479871i
$452$	−2.87429	−	4.97841i	−0.135195	−	0.234165i
$453$	9.71764	+	16.6895i	0.456574	+	0.784142i
$454$			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	−0.934906	−	0.354896i	$-0.884516\pi$
$457$	1.11579	−	4.16420i	0.0521946	−	0.194793i	0.987100	+	0.160103i	$0.0511828\pi$
$458$	12.5600	−	7.25154i	0.586892	−	0.338842i
$459$	0.936330	+	3.34643i	0.0437042	+	0.156198i
$460$	2.54781	+	2.54781i	0.118792	+	0.118792i
$461$	−4.57904	−	17.0892i	−0.213267	−	0.795924i	−0.986769	−	0.162130i	$-0.948164\pi$
$461$	−4.57904	−	17.0892i	−0.213267	−	0.795924i	0.773502	−	0.633794i	$-0.218503\pi$
$462$	−1.75887	+	3.07247i	−0.0818302	+	0.142944i
$463$	−29.3911	+	29.3911i	−1.36592	+	1.36592i	−0.499755	+	0.866167i	$0.666577\pi$
$463$	−29.3911	+	29.3911i	−1.36592	+	1.36592i	−0.866167	+	0.499755i	$0.833423\pi$
$464$	2.59550	+	1.49852i	0.120493	+	0.0695668i
$465$	−1.32109	+	5.00384i	−0.0612640	+	0.232048i
$466$	6.61287	+	1.77191i	0.306335	+	0.0820823i
$467$	17.9717			0.831629			0.415814	−	0.909449i	$-0.363497\pi$
$467$	17.9717			0.831629			0.415814	+	0.909449i	$0.363497\pi$
$468$	−8.79984	+	6.28990i	−0.406773	+	0.290751i
$469$	13.7203			0.633547
$470$	6.35428	+	1.70262i	0.293101	+	0.0785362i
$471$	−7.25664	+	27.4857i	−0.334368	+	1.26648i
$472$	−1.37621	−	0.794557i	−0.0633453	−	0.0365725i
$473$	−6.83117	+	6.83117i	−0.314098	+	0.314098i
$474$	−12.1188	+	21.1696i	−0.556635	+	0.972353i
$475$	3.95604	+	14.7641i	0.181516	+	0.677425i
$476$	−0.472882	−	0.472882i	−0.0216745	−	0.0216745i
$477$	−4.00168	+	7.05027i	−0.183224	+	0.322810i
$478$	−4.19300	+	2.42083i	−0.191783	+	0.110726i
$479$	−1.26728	+	4.72955i	−0.0579035	+	0.216099i	−0.988815	−	0.149145i	$-0.952348\pi$
$479$	−1.26728	+	4.72955i	−0.0579035	+	0.216099i	0.930912	+	0.365244i	$0.119014\pi$
$480$	0.620031	−	0.624605i	0.0283004	−	0.0285092i
$481$	−3.03517	+	17.4539i	−0.138392	+	0.795831i
$482$		−	16.6788i		−	0.759697i
$483$	−6.18010	−	10.6140i	−0.281204	−	0.482953i
$484$	3.41105	+	5.90810i	0.155048	+	0.268550i
$485$	4.46534	−	7.73419i	0.202761	−	0.351192i
$486$	15.5858	−	0.286378i	0.706987	−	0.0129904i
$487$	21.1774	−	5.67448i	0.959641	−	0.257135i	0.255193	−	0.966890i	$-0.417861\pi$
$487$	21.1774	−	5.67448i	0.959641	−	0.257135i	0.704448	+	0.709755i	$0.251194\pi$
$488$	2.04617	−	0.548270i	0.0926259	−	0.0248190i
$489$	−18.7174	+	0.0687764i	−0.846431	+	0.00311018i
$490$	−0.254062	+	0.440048i	−0.0114773	+	0.0198794i
$491$	13.1003	+	22.6905i	0.591210	+	1.02401i	0.994070	+	0.108744i	$0.0346830\pi$
$491$	13.1003	+	22.6905i	0.591210	+	1.02401i	−0.402859	+	0.915262i	$0.631984\pi$
$492$	8.61726	−	5.01748i	0.388496	−	0.226206i
$493$		−	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
$498$	−1.87591	−	6.89949i	−0.0840617	−	0.309174i
$499$	8.49382	+	8.49382i	0.380236	+	0.380236i	0.871187	−	0.490951i	$-0.163351\pi$
$499$	8.49382	+	8.49382i	0.380236	+	0.380236i	−0.490951	+	0.871187i	$0.663351\pi$
$500$	1.28117	+	4.78138i	0.0572955	+	0.213830i
$501$	8.74309	+	5.00508i	0.390612	+	0.223611i
$502$	11.6048	−	11.6048i	0.517946	−	0.517946i
$503$	−34.4202	−	19.8725i	−1.53472	−	0.886071i	−0.999135	−	0.0415906i	$-0.986757\pi$
$503$	−34.4202	−	19.8725i	−1.53472	−	0.886071i	−0.535586	−	0.844481i	$-0.679909\pi$
$504$	−2.58698	+	1.51905i	−0.115233	+	0.0676640i
$505$	−2.31218	−	0.619547i	−0.102891	−	0.0275695i
$506$	14.4941			0.644343
$507$	−1.77416	+	22.4467i	−0.0787934	+	0.996891i
$508$	22.0213			0.977036
$509$	−31.9237	−	8.55392i	−1.41499	−	0.379146i	−0.531287	−	0.847192i	$-0.678291\pi$
$509$	−31.9237	−	8.55392i	−1.41499	−	0.379146i	−0.883704	+	0.468046i	$0.844958\pi$
$510$	−0.569071	−	0.150243i	−0.0251989	−	0.00665288i
$511$	−3.06566	−	1.76996i	−0.135617	−	0.0782983i
$512$	−0.707107	+	0.707107i	−0.0312500	+	0.0312500i
$513$	−8.21435	+	14.5969i	−0.362673	+	0.644471i
$514$	−3.45077	−	12.8785i	−0.152207	−	0.568044i
$515$	0.0687479	+	0.0687479i	0.00302939	+	0.00302939i
$516$	−7.89958	+	2.14783i	−0.347760	+	0.0945529i
$517$	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	$0.852069\pi$
$522$	−8.70159	−	2.26318i	−0.380858	−	0.0990567i
$523$	11.3094	+	19.5884i	0.494524	+	0.856541i	0.999980	−	0.00631162i	$-0.00200906\pi$
$523$	11.3094	+	19.5884i	0.494524	+	0.856541i	−0.505456	+	0.862852i	$0.668676\pi$
$524$	−2.58050	+	4.46955i	−0.112730	+	0.195253i
$525$	−0.0301783	−	8.21300i	−0.00131709	−	0.358445i
$526$	8.41073	−	2.25365i	0.366725	−	0.0982638i
$527$	−3.79854	+	1.01782i	−0.165467	+	0.0443367i
$528$	−0.0130086	−	3.54028i	−0.000566127	−	0.154071i
$529$	−13.6418	+	23.6282i	−0.593120	+	1.02731i
$530$	−0.686541	−	1.18912i	−0.0298214	−	0.0516522i
$531$	4.61384	+	1.20001i	0.200224	+	0.0520758i
$532$		−	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
$537$	−2.18733	+	0.594717i	−0.0943904	+	0.0256639i
$538$	−15.4314	−	15.4314i	−0.665295	−	0.665295i
$539$	0.529024	+	1.97435i	0.0227867	+	0.0850411i
$540$	−1.29486	+	2.30097i	−0.0557219	+	0.0990180i
$541$	16.0800	−	16.0800i	0.691332	−	0.691332i	−0.271193	−	0.962525i	$-0.587418\pi$
$541$	16.0800	−	16.0800i	0.691332	−	0.691332i	0.962525	+	0.271193i	$0.0874181\pi$
$542$	−5.73858	−	3.31317i	−0.246493	−	0.142313i
$543$	−7.35331	−	1.94138i	−0.315561	−	0.0833127i
$544$	0.645969	+	0.173087i	0.0276957	+	0.00742104i
$545$	0.312751			0.0133968
$546$	−1.04731	+	6.15655i	−0.0448207	+	0.263476i
$547$	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
$549$	−5.48015	+	3.21789i	−0.233887	+	0.137336i
$550$	8.39372	+	4.84611i	0.357909	+	0.206639i
$551$	6.83119	−	6.83119i	0.291019	−	0.291019i
$552$	10.6591	+	6.10194i	0.453682	+	0.259716i
$553$	3.64503	+	13.6034i	0.155002	+	0.578477i
$554$	0.878997	+	0.878997i	0.0373450	+	0.0373450i
$555$	1.13457	+	4.17286i	0.0481596	+	0.177128i
$556$	−8.39360	+	4.84605i	−0.355968	+	0.205518i
$557$	−9.02390	+	33.6777i	−0.382355	+	1.42697i	0.459939	+	0.887950i	$0.347871\pi$
$557$	−9.02390	+	33.6777i	−0.382355	+	1.42697i	−0.842294	+	0.539018i	$0.818795\pi$
$558$	0.129641	+	17.6406i	0.00548816	+	0.746788i
$559$	−7.16551	+	15.4616i	−0.303069	+	0.653956i
$560$		−	0.508124i		−	0.0214722i
$561$	−2.04604	+	1.19132i	−0.0863837	+	0.0502978i
$562$	16.7258	+	28.9699i	0.705534	+	1.22202i
$563$	−14.1837	+	24.5669i	−0.597772	+	1.03537i	0.395377	+	0.918519i	$0.370614\pi$
$563$	−14.1837	+	24.5669i	−0.597772	+	1.03537i	−0.993149	+	0.116853i	$0.962720\pi$
$564$	22.4239	−	0.0823956i	0.944215	−	0.00346948i
$565$	−2.82146	+	0.756008i	−0.118700	+	0.0318055i
$566$	−18.5066	+	4.95882i	−0.777889	+	0.208435i
$567$	6.26974	−	6.45681i	0.263304	−	0.271160i
$568$	−7.20442	+	12.4784i	−0.302291	+	0.523583i
$569$	7.99602	+	13.8495i	0.335211	+	0.580602i	0.983525	−	0.180771i	$-0.0578591\pi$
$569$	7.99602	+	13.8495i	0.335211	+	0.580602i	−0.648315	+	0.761373i	$0.724526\pi$
$570$	−1.42749	−	2.45164i	−0.0597909	−	0.102688i
$571$		−	2.03247i		−	0.0850562i	−0.999095	−	0.0425281i	$-0.986459\pi$
$571$		−	2.03247i		−	0.0850562i	0.999095	−	0.0425281i	$-0.0135412\pi$
$572$	−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
$576$	1.48087	−	2.60903i	0.0617028	−	0.108710i
$577$	9.51377	+	9.51377i	0.396063	+	0.396063i	0.876842	−	0.480779i	$-0.159646\pi$
$577$	9.51377	+	9.51377i	0.396063	+	0.396063i	−0.480779	+	0.876842i	$0.659646\pi$
$578$	4.28417	+	15.9887i	0.178198	+	0.665044i
$579$	−5.79142	+	10.1167i	−0.240683	+	0.420436i
$580$	1.07683	−	1.07683i	0.0447128	−	0.0447128i
$581$	−3.57498	−	2.06402i	−0.148315	−	0.0856299i
$582$	7.77091	−	29.4336i	0.322115	−	1.22006i
$583$	−5.33519	−	1.42956i	−0.220961	−	0.0592063i
$584$	3.53991			0.146483
$585$	1.92986	+	5.14625i	0.0797898	+	0.212771i
$586$	21.2715			0.878717
$587$	39.8579	+	10.6799i	1.64511	+	0.440806i	0.958238	−	0.285972i	$-0.0923165\pi$
$587$	39.8579	+	10.6799i	1.64511	+	0.440806i	0.686872	+	0.726778i	$0.258983\pi$
$588$	−0.442137	+	1.67467i	−0.0182334	+	0.0690622i
$589$	−16.4156	−	9.47753i	−0.676392	−	0.390515i
$590$	−0.570965	+	0.570965i	−0.0235063	+	0.0235063i
$591$	1.49028	−	2.60328i	0.0613018	−	0.107085i
$592$	−1.27171	−	4.74608i	−0.0522668	−	0.195063i
$593$	−4.52692	−	4.52692i	−0.185898	−	0.185898i	0.608022	−	0.793920i	$-0.291963\pi$
$593$	−4.52692	−	4.52692i	−0.185898	−	0.185898i	−0.793920	+	0.608022i	$0.791963\pi$
$594$	2.86181	+	10.2281i	0.117422	+	0.419663i
$595$	−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	$0.764913\pi$
$600$	4.13264	+	7.09758i	0.168714	+	0.289757i
$601$	−19.0163	−	32.9371i	−0.775690	−	1.34353i	−0.934406	−	0.356210i	$-0.884069\pi$
$601$	−19.0163	−	32.9371i	−0.775690	−	1.34353i	0.158717	−	0.987324i	$-0.449264\pi$
$602$	−2.36320	+	4.09318i	−0.0963169	+	0.166826i
$603$	28.8906	−	29.3184i	1.17652	−	1.19394i
$604$	−10.7701	+	2.88585i	−0.438231	+	0.117424i
$605$	3.34835	−	0.897188i	0.136130	−	0.0364759i
$606$	−8.15954	+	0.0299819i	−0.331459	+	0.00121793i
$607$	−20.3316	+	35.2153i	−0.825233	+	1.42934i	0.0765089	+	0.997069i	$0.475623\pi$
$607$	−20.3316	+	35.2153i	−0.825233	+	1.42934i	−0.901741	+	0.432276i	$0.857711\pi$
$608$	1.61172	+	2.79159i	0.0653640	+	0.113214i
$609$	−4.48598	+	2.61201i	−0.181781	+	0.105844i
$610$		−	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	0.634149	+	0.773211i	$0.281350\pi$
$613$	−7.46839	+	27.8724i	−0.301645	+	1.12576i	−0.935795	+	0.352545i	$0.885316\pi$
$614$	7.02615	−	4.05655i	0.283552	−	0.163709i
$615$	−1.32936	−	4.88929i	−0.0536048	−	0.197155i
$616$	−1.44532	−	1.44532i	−0.0582337	−	0.0582337i
$617$	2.33842	+	8.72710i	0.0941413	+	0.351340i	0.996888	−	0.0788328i	$-0.0251193\pi$
$617$	2.33842	+	8.72710i	0.0941413	+	0.351340i	−0.902747	+	0.430173i	$0.858453\pi$
$618$	0.287616	+	0.164649i	0.0115696	+	0.00662316i
$619$	23.1859	−	23.1859i	0.931919	−	0.931919i	−0.0659070	−	0.997826i	$-0.520994\pi$
$619$	23.1859	−	23.1859i	0.931919	−	0.931919i	0.997826	+	0.0659070i	$0.0209941\pi$
$620$	−2.58765	−	1.49398i	−0.103922	−	0.0599997i
$621$	−35.6938	−	9.14364i	−1.43234	−	0.366922i
$622$	−30.0963	−	8.06427i	−1.20675	−	0.323348i
$623$	12.6821			0.508098
$624$	−2.17128	−	5.85539i	−0.0869207	−	0.234403i
$625$	−21.1938			−0.847753
$626$	12.9485	+	3.46954i	0.517527	+	0.138671i
$627$	−11.0339	−	2.91311i	−0.440651	−	0.116338i
$628$	−14.2138	−	8.20632i	−0.567191	−	0.327468i
$629$	−2.32351	+	2.32351i	−0.0926442	+	0.0926442i
$630$	0.405346	+	1.46949i	0.0161494	+	0.0585459i
$631$	−1.17310	−	4.37806i	−0.0467003	−	0.174288i	0.938637	−	0.344908i	$-0.112090\pi$
$631$	−1.17310	−	4.37806i	−0.0467003	−	0.174288i	−0.985337	+	0.170620i	$0.945423\pi$
$632$	−9.95840	−	9.95840i	−0.396124	−	0.396124i
$633$	11.1975	−	3.04450i	0.445061	−	0.121008i
$634$	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
$639$	10.8807	−	41.8347i	0.430434	−	1.65496i
$640$	0.254062	+	0.440048i	0.0100427	+	0.0173944i
$641$	−10.0179	+	17.3515i	−0.395682	+	0.685342i	−0.993188	−	0.116523i	$-0.962825\pi$
$641$	−10.0179	+	17.3515i	−0.395682	+	0.685342i	0.597506	+	0.801865i	$0.296159\pi$
$642$	0.0669776	+	18.2279i	0.00264339	+	0.719397i
$643$	−22.0771	+	5.91555i	−0.870637	+	0.233287i	−0.666363	−	0.745627i	$-0.732150\pi$
$643$	−22.0771	+	5.91555i	−0.870637	+	0.233287i	−0.204274	+	0.978914i	$0.565483\pi$
$644$	6.84946	−	1.83531i	0.269907	−	0.0723213i
$645$	0.0152845	+	4.15966i	0.000601827	+	0.163786i
$646$	1.07785	−	1.86689i	0.0424074	−	0.0734518i
$647$	19.5964	+	33.9420i	0.770415	+	1.33440i	0.937336	+	0.348427i	$0.113284\pi$
$647$	19.5964	+	33.9420i	0.770415	+	1.33440i	−0.166921	+	0.985970i	$0.553383\pi$
$648$	−2.20135	+	8.72663i	−0.0864773	+	0.342814i
$649$			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	$-0.797015\pi$
$653$	−17.6224	+	10.1743i	−0.689619	+	0.398152i	0.113850	+	0.993498i	$0.463682\pi$
$654$	1.02873	−	0.279704i	0.0402267	−	0.0109373i
$655$	1.85433	+	1.85433i	0.0724548	+	0.0724548i
$656$	1.49004	+	5.56092i	0.0581765	+	0.217117i
$657$	−10.2374	+	2.82390i	−0.399399	+	0.110171i
$658$	9.15457	−	9.15457i	0.356882	−	0.356882i
$659$	14.3376	+	8.27782i	0.558514	+	0.322458i	0.752549	−	0.658537i	$-0.228824\pi$
$659$	14.3376	+	8.27782i	0.558514	+	0.322458i	−0.194035	+	0.980995i	$0.562158\pi$
$660$	−1.73931	−	0.459205i	−0.0677027	−	0.0178745i
$661$	−34.0537	−	9.12465i	−1.32453	−	0.354908i	−0.473859	−	0.880601i	$-0.657139\pi$
$661$	−34.0537	−	9.12465i	−1.32453	−	0.354908i	−0.850674	+	0.525693i	$0.823806\pi$
$662$	17.3481			0.674251
$663$	−2.66518	+	3.21543i	−0.103507	+	0.124877i
$664$	4.12804			0.160199
$665$	−1.58210	−	0.423922i	−0.0613512	−	0.0164390i
$666$	7.46386	+	12.7111i	0.289219	+	0.492547i
$667$	18.4050	+	10.6261i	0.712643	+	0.411444i
$668$	−4.11283	+	4.11283i	−0.159130	+	0.159130i
$669$	−8.55893	−	4.89966i	−0.330907	−	0.189432i
$670$	1.80439	+	6.73408i	0.0697098	+	0.260160i
$671$	−3.06170	−	3.06170i	−0.118196	−	0.118196i
$672$	−0.454432	−	1.67137i	−0.0175301	−	0.0644747i
$673$	−16.3150	+	9.41948i	−0.628898	+	0.363094i	−0.780325	−	0.625374i	$-0.784946\pi$
$673$	−16.3150	+	9.41948i	−0.628898	+	0.363094i	0.151427	+	0.988468i	$0.451613\pi$
$674$	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	$-0.0238489\pi$
$678$	−8.60451	+	5.01006i	−0.330454	+	0.192410i
$679$	−8.78790	−	15.2211i	−0.337248	−	0.584131i
$680$	0.169905	−	0.294285i	0.00651558	−	0.0112853i
$681$	25.7877	−	0.0947558i	0.988186	−	0.00363105i
$682$	−11.6099	+	3.11086i	−0.444566	+	0.119121i
$683$	39.2280	−	10.5111i	1.50102	−	0.402196i	0.587576	−	0.809169i	$-0.300082\pi$
$683$	39.2280	−	10.5111i	1.50102	−	0.402196i	0.913440	+	0.406973i	$0.133416\pi$
$684$	−6.88803	−	6.78752i	−0.263370	−	0.259527i
$685$	1.20571	−	2.08836i	0.0460679	−	0.0797920i
$686$	0.500000	+	0.866025i	0.0190901	+	0.0330650i
$687$	−12.6399	−	21.7083i	−0.482242	−	0.828224i
$688$		−	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	0.522123	+	0.852870i	$0.325140\pi$
$691$	−9.37085	+	34.9725i	−0.356484	+	1.33042i	−0.878607	+	0.477546i	$0.841526\pi$
$692$	15.1241	−	8.73192i	0.574933	−	0.331938i
$693$	5.33284	+	3.02688i	0.202578	+	0.114982i
$694$	−21.3104	−	21.3104i	−0.808932	−	0.808932i
$695$	1.27463	+	4.75697i	0.0483494	+	0.180442i
$696$	2.57897	−	4.50505i	0.0977556	−	0.170764i
$697$	2.72242	−	2.72242i	0.103119	−	0.103119i
$698$	−18.8258	−	10.8691i	−0.712566	−	0.411400i
$699$	3.02694	−	11.4650i	0.114489	−	0.433647i
$700$	4.58024	+	1.22727i	0.173117	+	0.0463865i
$701$	−14.2382			−0.537770			−0.268885	−	0.963172i	$-0.586655\pi$
$701$	−14.2382			−0.537770			−0.268885	+	0.963172i	$0.586655\pi$
$702$	10.9504	+	15.2016i	0.413294	+	0.573749i
$703$	−15.8384			−0.597356
$704$	1.97435	+	0.529024i	0.0744110	+	0.0199384i
$705$	2.90857	−	11.0167i	0.109543	−	0.414913i
$706$	1.27613	+	0.736773i	0.0480277	+	0.0277288i
$707$	−3.33114	+	3.33114i	−0.125280	+	0.125280i
$708$	−1.36745	+	2.38871i	−0.0513917	+	0.0897733i
$709$	−9.82639	−	36.6726i	−0.369038	−	1.37727i	−0.861864	−	0.507140i	$-0.830703\pi$
$709$	−9.82639	−	36.6726i	−0.369038	−	1.37727i	0.492826	−	0.870128i	$-0.335964\pi$
$710$	5.17707	+	5.17707i	0.194292	+	0.194292i
$711$	36.7438	+	20.8555i	1.37800	+	0.782142i
$712$	−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
$717$	4.21965	+	7.24703i	0.157586	+	0.270645i
$718$	−10.4199	−	18.0478i	−0.388868	−	0.673539i
$719$	17.8930	−	30.9917i	0.667298	−	1.15579i	−0.311359	−	0.950292i	$-0.600784\pi$
$719$	17.8930	−	30.9917i	0.667298	−	1.15579i	0.978657	−	0.205502i	$-0.0658826\pi$
$720$	−1.08579	−	1.06994i	−0.0404648	−	0.0398744i
$721$	0.184820	−	0.0495223i	0.00688305	−	0.00184431i
$722$	−8.31604	+	2.22828i	−0.309491	+	0.0829279i
$723$	−28.8883	+	0.106149i	−1.07437	+	0.00394772i
$724$	2.19545	−	3.80264i	0.0815934	−	0.141324i
$725$	7.10568	+	12.3074i	0.263898	+	0.457085i
$726$	10.2114	−	5.94566i	0.378979	−	0.220664i
$727$		−	9.90693i		−	0.367428i	−0.982980	−	0.183714i	$-0.941188\pi$
$727$		−	9.90693i		−	0.367428i	0.982980	−	0.183714i	$-0.0588120\pi$
$728$	−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
$732$	−0.962648	−	3.54056i	−0.0355805	−	0.130863i
$733$	−3.22915	−	3.22915i	−0.119271	−	0.119271i	0.644952	−	0.764223i	$-0.276877\pi$
$733$	−3.22915	−	3.22915i	−0.119271	−	0.119271i	−0.764223	+	0.644952i	$0.776877\pi$
$734$	1.51959	+	5.67117i	0.0560889	+	0.209327i
$735$	0.763798	+	0.437245i	0.0281731	+	0.0161280i
$736$	−5.01416	+	5.01416i	−0.184824	+	0.184824i
$737$	24.2871	+	14.0222i	0.894626	+	0.516513i
$738$	−8.74532	−	14.8935i	−0.321920	−	0.548237i
$739$	34.8116	+	9.32775i	1.28057	+	0.343127i	0.834070	−	0.551659i	$-0.186005\pi$
$739$	34.8116	+	9.32775i	1.28057	+	0.343127i	0.446496	+	0.894785i	$0.352672\pi$
$740$	−2.49667			−0.0917793
$741$	−20.0429	+	1.87543i	−0.736293	+	0.0688957i
$742$	−2.70226			−0.0992030
$743$	9.37865	+	2.51300i	0.344069	+	0.0921930i	0.426716	−	0.904386i	$-0.359671\pi$
$743$	9.37865	+	2.51300i	0.344069	+	0.0921930i	−0.0826464	+	0.996579i	$0.526337\pi$
$744$	−9.84768	−	2.59993i	−0.361033	−	0.0953182i
$745$	−5.24286	−	3.02697i	−0.192083	−	0.110899i
$746$	1.57035	−	1.57035i	0.0574948	−	0.0574948i
$747$	−11.9383	+	3.29306i	−0.436798	+	0.120487i
$748$	−0.353788	−	1.32036i	−0.0129358	−	0.0482770i
$749$	7.44155	+	7.44155i	0.271908	+	0.271908i
$750$	8.27338	−	2.24946i	0.302101	−	0.0821387i
$751$	14.9212	−	8.61475i	0.544482	−	0.314357i	−0.202412	−	0.979301i	$-0.564878\pi$
$751$	14.9212	−	8.61475i	0.544482	−	0.314357i	0.746893	+	0.664944i	$0.231545\pi$
$752$	−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
$756$	2.64752	+	4.47109i	0.0962895	+	0.162612i
$757$	−18.2011	−	31.5252i	−0.661529	−	1.14580i	−0.980214	−	0.197942i	$-0.936574\pi$
$757$	−18.2011	−	31.5252i	−0.661529	−	1.14580i	0.318684	−	0.947861i	$-0.396759\pi$
$758$	−4.84567	+	8.39295i	−0.176003	+	0.304846i
$759$	−0.0922451	−	25.1044i	−0.00334829	−	0.911232i
$760$	1.58210	−	0.423922i	0.0573888	−	0.0153773i
$761$	−22.2002	+	5.94853i	−0.804758	+	0.215634i	−0.637672	−	0.770308i	$-0.720102\pi$
$761$	−22.2002	+	5.94853i	−0.804758	+	0.215634i	−0.167086	+	0.985942i	$0.553436\pi$
$762$	−0.140150	−	38.1417i	−0.00507710	−	1.38173i
$763$	0.307751	−	0.533041i	0.0111413	−	0.0192974i
$764$	−8.18474	−	14.1764i	−0.296113	−	0.512884i
$765$	−0.256605	+	0.986609i	−0.00927758	+	0.0356709i
$766$		−	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	−0.578869	−	0.815421i	$-0.696506\pi$
$769$	9.15552	−	34.1689i	0.330157	−	1.23216i	0.909025	−	0.416741i	$-0.136828\pi$
$770$	−0.899456	+	0.519301i	−0.0324141	+	0.0187143i
$771$	−22.2840	+	6.05883i	−0.802539	+	0.218204i
$772$	−4.75900	−	4.75900i	−0.171280	−	0.171280i
$773$	−3.28552	−	12.2617i	−0.118172	−	0.441024i	0.881333	−	0.472496i	$-0.156647\pi$
$773$	−3.28552	−	12.2617i	−0.118172	−	0.441024i	−0.999505	+	0.0314723i	$0.989980\pi$
$774$	3.77040	+	13.6687i	0.135524	+	0.491312i
$775$	19.7167	−	19.7167i	0.708245	−	0.708245i
$776$	15.2211	+	8.78790i	0.546405	+	0.315467i
$777$	8.22848	+	2.17244i	0.295195	+	0.0779359i
$778$	−0.805535	−	0.215843i	−0.0288798	−	0.00773833i
$779$	18.5577			0.664897
$780$	−3.15943	+	0.295631i	−0.113126	+	0.0105853i
$781$	29.4516			1.05386
$782$	4.58062	+	1.22737i	0.163803	+	0.0438908i
$783$	−3.86454	+	15.0859i	−0.138107	+	0.539126i
$784$	−0.866025	−	0.500000i	−0.0309295	−	0.0178571i
$785$	−5.89703	+	5.89703i	−0.210474	+	0.210474i
$786$	7.75786	+	4.44108i	0.276714	+	0.158408i
$787$	−3.04233	−	11.3541i	−0.108447	−	0.404731i	0.890266	−	0.455441i	$-0.150518\pi$
$787$	−3.04233	−	11.3541i	−0.108447	−	0.404731i	−0.998713	+	0.0507097i	$0.983852\pi$
$788$	1.22461	+	1.22461i	0.0436248	+	0.0436248i
$789$	−3.95694	−	14.5534i	−0.140871	−	0.518114i
$790$	−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
$795$	−2.05524	+	1.19668i	−0.0728918	+	0.0424420i
$796$	−5.61806	−	9.73076i	−0.199127	−	0.344898i
$797$	−0.767007	+	1.32850i	−0.0271688	+	0.0470577i	−0.879290	−	0.476287i	$-0.841982\pi$
$797$	−0.767007	+	1.32850i	−0.0271688	+	0.0470577i	0.852121	+	0.523344i	$0.175316\pi$
$798$	−5.58313	+	0.0205150i	−0.197641	+	0.000726223i
$799$	8.36304	−	2.24087i	0.295863	−	0.0792763i
$800$	−4.58024	+	1.22727i	−0.161936	+	0.0433906i
$801$	26.7044	−	27.0998i	0.943552	−	0.957524i
$802$	−7.17164	+	12.4216i	−0.253239	+	0.438623i
$803$	−3.61778	−	6.26618i	−0.127669	−	0.221129i
$804$	11.9577	+	20.5367i	0.421716	+	0.724274i
$805$		−	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	$-0.517346\pi$
$809$	22.2719	−	12.8587i	0.783039	−	0.452088i	0.837506	+	0.546428i	$0.184013\pi$
$810$	3.99361	+	2.22810i	0.140321	+	0.0782876i
$811$	30.1919	+	30.1919i	1.06018	+	1.06018i	0.998069	+	0.0621106i	$0.0197831\pi$
$811$	30.1919	+	30.1919i	1.06018	+	1.06018i	0.0621106	+	0.998069i	$0.480217\pi$
$812$	−0.775689	−	2.89491i	−0.0272213	−	0.101591i
$813$	−5.70202	+	9.96053i	−0.199978	+	0.349331i
$814$	−7.10159	+	7.10159i	−0.248911	+	0.248911i
$815$	−4.75542	−	2.74554i	−0.166575	−	0.0961721i
$816$	0.295682	−	1.11994i	0.0103509	−	0.0392059i
$817$	−14.7162	−	3.94318i	−0.514853	−	0.137955i
$818$	−0.234783			−0.00820900
$819$	10.6701	+	1.77480i	0.372842	+	0.0620165i
$820$	2.92531			0.102156
$821$	18.8539	+	5.05190i	0.658007	+	0.176312i	0.572346	−	0.820012i	$-0.306033\pi$
$821$	18.8539	+	5.05190i	0.658007	+	0.176312i	0.0856604	+	0.996324i	$0.472700\pi$
$822$	2.09827	−	7.94755i	0.0731856	−	0.277202i
$823$	−6.31258	−	3.64457i	−0.220043	−	0.127042i	0.385927	−	0.922529i	$-0.373882\pi$
$823$	−6.31258	−	3.64457i	−0.220043	−	0.127042i	−0.605970	+	0.795487i	$0.707215\pi$
$824$	−0.135297	+	0.135297i	−0.00471331	+	0.00471331i
$825$	8.34024	−	14.5691i	0.290370	−	0.507231i
$826$	0.411293	+	1.53497i	0.0143107	+	0.0534083i
$827$	4.86814	+	4.86814i	0.169282	+	0.169282i	0.786664	−	0.617382i	$-0.211807\pi$
$827$	4.86814	+	4.86814i	0.169282	+	0.169282i	−0.617382	+	0.786664i	$0.711807\pi$
$828$	10.5010	−	18.5009i	0.364933	−	0.642949i
$829$	−3.47981	+	2.00907i	−0.120859	+	0.0697779i	−0.559211	−	0.829026i	$-0.688896\pi$
$829$	−3.47981	+	2.00907i	−0.120859	+	0.0697779i	0.438352	+	0.898803i	$0.355562\pi$
$830$	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
$834$	8.44696	+	14.5072i	0.292494	+	0.502343i
$835$	1.47773	+	2.55951i	0.0511390	+	0.0885754i
$836$	3.29435	−	5.70598i	0.113938	−	0.197346i
$837$	30.5535	−	0.336814i	1.05608	−	0.0116420i
$838$	−23.5015	+	6.29721i	−0.811846	+	0.217533i
$839$	31.5197	−	8.44569i	1.08818	−	0.291577i	0.330238	−	0.943898i	$-0.392871\pi$
$839$	31.5197	−	8.44569i	1.08818	−	0.291577i	0.757944	+	0.652320i	$0.226204\pi$
$840$	−0.880090	+	0.00323386i	−0.0303660	+	0.000111579i
$841$	−10.0089	+	17.3359i	−0.345135	+	0.597791i
$842$	17.2468	+	29.8724i	0.594365	+	1.02947i
$843$	50.0705	−	29.1540i	1.72452	−	1.00412i
$844$			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
$849$	8.70665	+	32.0225i	0.298811	+	1.09901i
$850$	2.24232	+	2.24232i	0.0769108	+	0.0769108i
$851$	−9.01779	−	33.6548i	−0.309126	−	1.15367i
$852$	21.6590	+	12.3989i	0.742024	+	0.424780i
$853$	−23.7384	+	23.7384i	−0.812786	+	0.812786i	−0.985051	−	0.172265i	$-0.944892\pi$
$853$	−23.7384	+	23.7384i	−0.812786	+	0.812786i	0.172265	+	0.985051i	$0.444892\pi$
$854$	−1.83455	−	1.05918i	−0.0627770	−	0.0362443i
$855$	−4.23724	+	2.48807i	−0.144911	+	0.0850902i
$856$	−10.1653	−	2.72380i	−0.347444	−	0.0930974i
$857$	50.4662			1.72389			0.861947	−	0.506999i	$-0.169245\pi$
$857$	50.4662			1.72389			0.861947	+	0.506999i	$0.169245\pi$
$858$	−8.14587	+	9.82768i	−0.278096	+	0.335511i
$859$	−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
$861$	−9.64122	−	2.54542i	−0.328572	−	0.0867478i
$862$	7.82763	+	4.51928i	0.266610	+	0.153927i
$863$	−28.4327	+	28.4327i	−0.967859	+	0.967859i	−0.999499	−	0.0316405i	$-0.989927\pi$
$863$	−28.4327	+	28.4327i	−0.967859	+	0.967859i	0.0316405	+	0.999499i	$0.489927\pi$
$864$	−4.52837	−	2.54831i	−0.154058	−	0.0866954i
$865$	−2.29671	−	8.57143i	−0.0780904	−	0.291437i
$866$	5.57454	+	5.57454i	0.189431	+	0.189431i
$867$	27.6659	−	7.52211i	0.939582	−	0.255464i
$868$	−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
$873$	−51.0296	−	13.2722i	−1.72709	−	0.449196i
$874$	11.4289	+	19.7954i	0.386587	+	0.669589i
$875$	2.47502	−	4.28687i	0.0836711	−	0.144923i
$876$	−0.0225291	−	6.13127i	−0.000761188	−	0.207156i
$877$	40.2264	−	10.7786i	1.35835	−	0.363968i	0.495139	−	0.868814i	$-0.335117\pi$
$877$	40.2264	−	10.7786i	1.35835	−	0.363968i	0.863210	+	0.504845i	$0.168451\pi$
$878$	−28.1917	+	7.55394i	−0.951424	+	0.254933i
$879$	−0.135378	−	36.8430i	−0.00456619	−	1.24268i
$880$	0.519301	−	0.899456i	0.0175056	−	0.0303206i
$881$	0.769622	+	1.33302i	0.0259292	+	0.0449107i	0.878699	−	0.477377i	$-0.158412\pi$
$881$	0.769622	+	1.33302i	0.0259292	+	0.0449107i	−0.852770	+	0.522287i	$0.825079\pi$
$882$	2.90341	+	0.755141i	0.0977627	+	0.0254269i
$883$			26.3630i			0.887184i	0.896229	+	0.443592i	$0.146296\pi$
$883$			26.3630i			0.887184i	−0.896229	+	0.443592i	$0.853704\pi$
$884$	−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	$-0.523957\pi$
$887$	22.3603	−	12.9097i	0.750787	−	0.433467i	0.825978	+	0.563702i	$0.190623\pi$
$888$	−8.21230	+	2.23285i	−0.275587	+	0.0749296i
$889$	−15.5714	−	15.5714i	−0.522247	−	0.522247i
$890$	1.66785	+	6.22450i	0.0559065	+	0.208646i
$891$	17.6972	−	5.02186i	0.592879	−	0.168239i
$892$	4.02621	−	4.02621i	0.134807	−	0.134807i
$893$	36.1413	+	20.8662i	1.20942	+	0.698260i
$894$	−19.9525	−	5.26775i	−0.667311	−	0.176180i
$895$	−0.642325	−	0.172110i	−0.0214706	−	0.00575302i
$896$	1.00000			0.0334077
$897$	−15.3967	−	41.5211i	−0.514082	−	1.38635i
$898$	−34.5680			−1.15355
$899$	−17.0232	−	4.56134i	−0.567754	−	0.152129i
$900$	12.2670	−	7.20306i	0.408899	−	0.240102i
$901$	−1.56504	−	0.903575i	−0.0521390	−	0.0301025i
$902$	8.32085	−	8.32085i	0.277054	−	0.277054i
$903$	7.10459	+	4.06711i	0.236426	+	0.135345i
$904$	−1.48784	−	5.55270i	−0.0494849	−	0.184680i
$905$	−1.57764	−	1.57764i	−0.0524426	−	0.0524426i
$906$	5.06695	+	18.6359i	0.168338	+	0.619138i
$907$	35.2248	−	20.3371i	1.16962	−	0.675281i	0.216030	−	0.976387i	$-0.430689\pi$
$907$	35.2248	−	20.3371i	1.16962	−	0.675281i	0.953591	+	0.301105i	$0.0973556\pi$
$908$	−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	$-0.153554\pi$
$912$	4.82488	−	2.80933i	0.159768	−	0.0930263i
$913$	−4.21884	−	7.30725i	−0.139623	−	0.241835i
$914$	2.15555	−	3.73352i	0.0712992	−	0.123494i
$915$	−1.86434	+	0.00685045i	−0.0616333	+	0.000226469i
$916$	14.0089	−	3.75367i	0.462867	−	0.124025i
$917$	4.98514	−	1.33576i	0.164624	−	0.0441108i
$918$	0.0383048	+	3.47475i	0.00126425	+	0.114684i
$919$	24.3432	−	42.1636i	0.803007	−	1.39085i	−0.114622	−	0.993409i	$-0.536566\pi$
$919$	24.3432	−	42.1636i	0.803007	−	1.39085i	0.917629	−	0.397439i	$-0.130101\pi$
$920$	1.80158	+	3.12042i	0.0593962	+	0.102877i
$921$	−7.07082	−	12.1437i	−0.232991	−	0.400150i
$922$		−	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
$927$	0.283348	−	0.499210i	0.00930638	−	0.0163962i
$928$	2.11922	+	2.11922i	0.0695668	+	0.0695668i
$929$	−14.5498	−	54.3004i	−0.477362	−	1.78154i	−0.612234	−	0.790677i	$-0.709729\pi$
$929$	−14.5498	−	54.3004i	−0.477362	−	1.78154i	0.134872	−	0.990863i	$-0.456938\pi$
$930$	−2.57116	+	4.49142i	−0.0843117	+	0.147279i
$931$	−2.27932	+	2.27932i	−0.0747017	+	0.0747017i
$932$	5.92894	+	3.42308i	0.194209	+	0.112127i
$933$	−13.7761	+	52.1792i	−0.451009	+	1.70827i
$934$	17.3593	+	4.65141i	0.568013	+	0.152199i
$935$	−0.694571			−0.0227149
$936$	−10.1279	+	3.79801i	−0.331042	+	0.124142i
$937$	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
$939$	5.92698	−	22.4494i	0.193420	−	0.732609i
$940$	5.69709	+	3.28922i	0.185819	+	0.107282i
$941$	−5.28968	+	5.28968i	−0.172439	+	0.172439i	−0.788050	−	0.615611i	$-0.788909\pi$
$941$	−5.28968	+	5.28968i	−0.172439	+	0.172439i	0.615611	+	0.788050i	$0.288909\pi$
$942$	−14.1232	+	24.6710i	−0.460159	+	0.803826i
$943$	10.5660	+	39.4330i	0.344077	+	1.28411i
$944$	−1.12367	−	1.12367i	−0.0365725	−	0.0365725i
$945$	2.54264	−	0.711428i	0.0827119	−	0.0231428i
$946$	−8.36644	+	4.83037i	−0.272016	+	0.157049i
$947$	2.48028	−	9.25653i	0.0805983	−	0.300797i	−0.913846	−	0.406061i	$-0.866902\pi$
$947$	2.48028	−	9.25653i	0.0805983	−	0.300797i	0.994444	+	0.105264i	$0.0335687\pi$
$948$	−17.1850	+	17.3117i	−0.558142	+	0.562258i
$949$	−9.79661	−	8.18104i	−0.318011	−	0.265568i
$950$			15.2850i			0.495910i
$951$	−0.279962	−	0.480820i	−0.00907840	−	0.0155917i
$952$	−0.334378	−	0.579160i	−0.0108373	−	0.0187707i
$953$	−9.27435	+	16.0636i	−0.300426	+	0.520352i	−0.976232	−	0.216726i	$-0.930462\pi$
$953$	−9.27435	+	16.0636i	−0.300426	+	0.520352i	0.675807	+	0.737079i	$0.263795\pi$
$954$	−5.69007	+	5.77432i	−0.184223	+	0.186951i
$955$	−8.03430	+	2.15279i	−0.259984	+	0.0696625i
$956$	−4.67668	+	1.25311i	−0.151255	+	0.0405286i
$957$	−10.6103	+	0.0389872i	−0.342983	+	0.00126028i
$958$	−2.44820	+	4.24040i	−0.0790976	+	0.137001i
$959$	−2.37287	−	4.10993i	−0.0766240	−	0.132717i
$960$	0.760564	−	0.442846i	0.0245471	−	0.0142928i
$961$			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
$966$	−3.22242	−	11.8519i	−0.103680	−	0.381327i
$967$	−3.92468	−	3.92468i	−0.126209	−	0.126209i	0.641181	−	0.767390i	$-0.278445\pi$
$967$	−3.92468	−	3.92468i	−0.126209	−	0.126209i	−0.767390	+	0.641181i	$0.778445\pi$
$968$	1.76569	+	6.58963i	0.0567513	+	0.211799i
$969$	−3.24039	−	1.85500i	−0.104096	−	0.0595910i
$970$	6.31494	−	6.31494i	0.202761	−	0.202761i
$971$	−14.0788	−	8.12841i	−0.451811	−	0.260853i	0.256784	−	0.966469i	$-0.417337\pi$
$971$	−14.0788	−	8.12841i	−0.451811	−	0.260853i	−0.708595	+	0.705616i	$0.750670\pi$
$972$	15.1289	+	3.75729i	0.485259	+	0.120515i
$973$	9.36184	+	2.50850i	0.300127	+	0.0804187i
$974$	21.9245			0.702506
$975$	4.96614	−	29.1932i	0.159044	−	0.934931i
$976$	2.11835			0.0678069
$977$	0.705049	+	0.188917i	0.0225565	+	0.00604400i	0.270080	−	0.962838i	$-0.412950\pi$
$977$	0.705049	+	0.188917i	0.0225565	+	0.00604400i	−0.247523	+	0.968882i	$0.579617\pi$
$978$	−18.0974	−	4.77799i	−0.578692	−	0.152783i
$979$	22.4492	+	12.9611i	0.717480	+	0.414237i
$980$	−0.359298	+	0.359298i	−0.0114773	+	0.0114773i
$981$	−0.491005	−	1.78003i	−0.0156766	−	0.0568319i
$982$	6.78124	+	25.3079i	0.216398	+	0.807608i
$983$	31.7408	+	31.7408i	1.01237	+	1.01237i	0.999922	+	0.0124519i	$0.00396365\pi$
$983$	31.7408	+	31.7408i	1.01237	+	1.01237i	0.0124519	+	0.999922i	$0.496036\pi$
$984$	9.62225	−	2.61621i	0.306746	−	0.0834016i
$985$	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
$990$	−0.784291	+	3.01548i	−0.0249264	+	0.0958383i
$991$	−30.7483	−	53.2576i	−0.976752	−	1.69178i	−0.674027	−	0.738707i	$-0.735437\pi$
$991$	−30.7483	−	53.2576i	−0.976752	−	1.69178i	−0.302726	−	0.953078i	$-0.597897\pi$
$992$	2.94019	−	5.09255i	0.0933510	−	0.161689i
$993$	−0.110408	−	30.0475i	−0.00350370	−	0.953529i
$994$	13.9179	−	3.72928i	0.441448	−	0.118286i
$995$	−5.51480	+	1.47769i	−0.174831	+	0.0468458i
$996$	−0.0262721	−	7.14992i	−0.000832463	−	0.226554i
$997$	−12.8580	+	22.2708i	−0.407218	+	0.705323i	−0.994577	−	0.104004i	$-0.966835\pi$
$997$	−12.8580	+	22.2708i	−0.407218	+	0.705323i	0.587359	+	0.809327i	$0.300168\pi$
$998$	6.00604	+	10.4028i	0.190118	+	0.329294i
$999$	21.9687	−	13.0086i	0.695059	−	0.411574i

Twists

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

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
546.2.bu.a.71.11	✓	56	39.32	even	12	inner
546.2.bu.a.323.11	yes	56	1.1	even	1	trivial
546.2.bu.b.71.1	yes	56	13.6	odd	12
546.2.bu.b.323.1	yes	56	3.2	odd	2

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

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

\(f(q)\)	\(=\)	\(q+(0.965926 + 0.258819i) q^{2} +(0.442137 - 1.67467i) q^{3} +(0.866025 + 0.500000i) q^{4} +(0.359298 - 0.359298i) q^{5} +(0.860508 - 1.50317i) q^{6} +(-0.258819 - 0.965926i) q^{7} +(0.707107 + 0.707107i) q^{8} +(-2.60903 - 1.48087i) q^{9} +O(q^{10})\)	\(q+(0.965926 + 0.258819i) q^{2} +(0.442137 - 1.67467i) q^{3} +(0.866025 + 0.500000i) q^{4} +(0.359298 - 0.359298i) q^{5} +(0.860508 - 1.50317i) q^{6} +(-0.258819 - 0.965926i) q^{7} +(0.707107 + 0.707107i) q^{8} +(-2.60903 - 1.48087i) 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} +(-0.442846 - 0.760564i) q^{15} +(0.500000 + 0.866025i) q^{16} +(0.334378 - 0.579160i) q^{17} +(-2.13685 - 2.10567i) q^{18} +(3.11361 - 0.834289i) q^{19} +(0.490810 - 0.131512i) q^{20} +(-1.73204 + 0.00636431i) q^{21} +(1.02200 - 1.77015i) q^{22} +(3.54554 + 6.14106i) q^{23} +(1.49681 - 0.871531i) 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} +(-0.230908 - 0.849265i) q^{30} +(-4.15805 - 4.15805i) q^{31} +(0.258819 + 0.965926i) q^{32} +(-3.07247 - 1.75887i) q^{33} +(0.472882 - 0.472882i) q^{34} +(-0.440048 - 0.254062i) q^{35} +(-1.51905 - 2.58698i) q^{36} +(-4.74608 - 1.27171i) q^{37} +3.22345 q^{38} +(-6.15655 - 1.04731i) q^{39} +0.508124 q^{40} +(5.56092 + 1.49004i) q^{41} +(-1.67467 - 0.442137i) q^{42} +(-4.09318 - 2.36320i) q^{43} +(1.44532 - 1.44532i) q^{44} +(-1.46949 + 0.405346i) q^{45} +(1.83531 + 6.84946i) q^{46} +(9.15457 + 9.15457i) q^{47} +(1.67137 - 0.454432i) 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} +(-4.47109 + 2.64752i) q^{54} +(-0.519301 - 0.899456i) q^{55} +(0.500000 - 0.866025i) q^{56} +(-0.0205150 - 5.58313i) q^{57} +(2.89491 - 0.775689i) q^{58} +(-1.53497 + 0.411293i) q^{59} +(-0.00323386 - 0.880090i) q^{60} +(1.05918 - 1.83455i) q^{61} +(-2.94019 - 5.09255i) q^{62} +(-0.755141 + 2.90341i) 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} +(11.8519 - 3.22242i) q^{69} +(-0.359298 - 0.359298i) q^{70} +(3.72928 + 13.9179i) q^{71} +(-0.797731 - 2.89199i) q^{72} +(2.50310 - 2.50310i) q^{73} +(-4.25522 - 2.45675i) q^{74} +(7.94096 + 2.09653i) q^{75} +(3.11361 + 0.834289i) q^{76} -2.04399 q^{77} +(-5.67571 - 2.60506i) q^{78} -14.0833 q^{79} +(0.490810 + 0.131512i) q^{80} +(4.61407 + 7.72725i) q^{81} +(4.98579 + 2.87854i) q^{82} +(2.91896 - 2.91896i) q^{83} +(-1.50317 - 0.860508i) q^{84} +(-0.0879495 - 0.328232i) q^{85} +(-3.34207 - 3.34207i) q^{86} +(-1.36195 - 5.00916i) 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} +(-8.80179 + 5.12493i) q^{93} +(6.47326 + 11.2120i) q^{94} +(0.818955 - 1.41847i) q^{95} +(1.73204 - 0.00636431i) q^{96} +(16.9769 - 4.54895i) q^{97} +(-0.965926 + 0.258819i) q^{98} +(-4.30398 + 4.36771i) 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	\( 56 q - 8 q^{6} + 24 q^{9} + 24 q^{10} - 8 q^{11} + 24 q^{13} - 4 q^{15} + 28 q^{16} + 4 q^{17} + 8 q^{19} + 4 q^{21} + 8 q^{23} + 8 q^{24} + 4 q^{26} - 24 q^{27} - 16 q^{30} - 8 q^{31} - 32 q^{33} - 24 q^{34} - 24 q^{35} - 12 q^{36} - 8 q^{37} - 60 q^{39} + 28 q^{41} - 8 q^{44} - 40 q^{45} - 20 q^{46} - 64 q^{50} + 8 q^{54} + 8 q^{55} + 28 q^{56} + 40 q^{57} + 4 q^{58} + 8 q^{59} + 4 q^{60} + 8 q^{61} + 32 q^{62} + 24 q^{65} + 32 q^{66} - 56 q^{69} + 112 q^{71} + 16 q^{72} + 8 q^{73} - 48 q^{74} - 40 q^{75} + 8 q^{76} - 8 q^{78} + 16 q^{79} + 12 q^{81} + 4 q^{83} - 4 q^{84} + 32 q^{85} + 16 q^{86} + 144 q^{87} - 88 q^{89} + 8 q^{90} - 8 q^{91} - 76 q^{93} - 8 q^{94} + 48 q^{95} - 4 q^{96} - 64 q^{97} - 40 q^{99}+O(q^{100}) \) 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^19 + 4 * q^21 + 8 * q^23 + 8 * q^24 + 4 * q^26 - 24 * q^27 - 16 * q^30 - 8 * q^31 - 32 * q^33 - 24 * q^34 - 24 * q^35 - 12 * q^36 - 8 * q^37 - 60 * q^39 + 28 * q^41 - 8 * q^44 - 40 * q^45 - 20 * q^46 - 64 * q^50 + 8 * q^54 + 8 * q^55 + 28 * q^56 + 40 * q^57 + 4 * q^58 + 8 * q^59 + 4 * q^60 + 8 * q^61 + 32 * q^62 + 24 * q^65 + 32 * q^66 - 56 * q^69 + 112 * q^71 + 16 * q^72 + 8 * q^73 - 48 * q^74 - 40 * q^75 + 8 * q^76 - 8 * q^78 + 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 - 76 * q^93 - 8 * q^94 + 48 * q^95 - 4 * q^96 - 64 * q^97 - 40 * q^99

Introduction

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