LMFDB - Embedded newform 546.2.bu.a.71.11

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			71.11
Character	$\chi$	$=$	546.71
Dual form			546.2.bu.a.323.11

$q$-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 $\left(\mathbb{Z}/546\mathbb{Z}\right)^\times$.

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

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
$3$	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	0.782869	−	0.622186i	$-0.213755\pi$
$5$	0.359298	+	0.359298i	0.160683	+	0.160683i	−0.622186	+	0.782869i	$0.713755\pi$
$6$	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	0.998677	+	0.0514190i	$0.0163744\pi$
$11$	0.529024	+	1.97435i	0.159507	+	0.595288i	−0.839170	+	0.543869i	$0.816959\pi$
$12$	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	0.903722	−	0.428120i	$-0.140824\pi$
$17$	0.334378	+	0.579160i	0.0810986	+	0.140467i	−0.822623	+	0.568586i	$0.807490\pi$
$18$	−2.13685	+	2.10567i	−0.503661	+	0.496312i
$19$	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
$21$	−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	−0.213515	−	0.976940i	$-0.568491\pi$
$23$	3.54554	−	6.14106i	0.739297	−	1.28050i	0.952812	−	0.303560i	$-0.0981753\pi$
$24$	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	0.721238	−	0.692687i	$-0.243573\pi$
$29$	2.59550	+	1.49852i	0.481973	+	0.278267i	−0.239265	+	0.970954i	$0.576907\pi$
$30$	−0.230908	+	0.849265i	−0.0421578	+	0.155054i
$31$	−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
$33$	−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	−0.626895	−	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
$39$	−6.15655	+	1.04731i	−0.985837	+	0.167704i
$40$	0.508124			0.0803414
$41$	5.56092	−	1.49004i	0.868470	−	0.232706i	0.203044	−	0.979170i	$-0.434917\pi$
$41$	5.56092	−	1.49004i	0.868470	−	0.232706i	0.665426	+	0.746464i	$0.268250\pi$
$42$	−1.67467	+	0.442137i	−0.258407	+	0.0682233i
$43$	−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
$45$	−1.46949	−	0.405346i	−0.219059	−	0.0604255i
$46$	1.83531	−	6.84946i	0.270601	−	1.00990i
$47$	9.15457	−	9.15457i	1.33533	−	1.33533i	0.434807	−	0.900524i	$-0.356816\pi$
$47$	9.15457	−	9.15457i	1.33533	−	1.33533i	0.900524	−	0.434807i	$-0.143184\pi$
$48$	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	$0.0594202\pi$
$53$			2.70226i			0.371184i	−0.982627	+	0.185592i	$0.940580\pi$
$54$	−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	0.157513	−	0.987517i	$-0.449652\pi$
$59$	−1.53497	−	0.411293i	−0.199836	−	0.0535458i	−0.357348	+	0.933971i	$0.616319\pi$
$60$	−0.00323386	+	0.880090i	−0.000417489	+	0.113619i
$61$	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
$63$	−0.755141	−	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	−0.743840	−	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
$69$	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	−0.279652	−	0.960102i	$-0.590219\pi$
$71$	3.72928	−	13.9179i	0.442585	−	1.65175i	0.722236	−	0.691647i	$-0.243114\pi$
$72$	−0.797731	+	2.89199i	−0.0940135	+	0.340825i
$73$	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
$75$	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	0.848920	−	0.528522i	$-0.177254\pi$
$83$	2.91896	+	2.91896i	0.320398	+	0.320398i	−0.528522	+	0.848920i	$0.677254\pi$
$84$	−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	−0.889151	−	0.457614i	$-0.848704\pi$
$89$	−3.28237	−	12.2500i	−0.347930	−	1.29849i	0.541221	−	0.840881i	$-0.317962\pi$
$90$	−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	0.978727	−	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
$99$	−4.30398	−	4.36771i	−0.432567	−	0.438972i
$100$	−2.37091	−	4.10653i	−0.237091	−	0.410653i
$101$	−2.35547	+	4.07980i	−0.234378	+	0.405955i	−0.959092	−	0.283095i	$-0.908639\pi$
$101$	−2.35547	+	4.07980i	−0.234378	+	0.405955i	0.724713	+	0.689050i	$0.241972\pi$
$102$	−0.582842	+	1.00100i	−0.0577099	+	0.0991137i
$103$		−	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	−0.0100681	−	0.999949i	$-0.503205\pi$
$107$	−9.11400	−	5.26197i	−0.881084	−	0.508694i	−0.871016	+	0.491255i	$0.836538\pi$
$108$	−5.00397	−	1.40011i	−0.481507	−	0.134725i
$109$	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
$111$	−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	−0.715540	−	0.698572i	$-0.753819\pi$
$113$	−4.97841	+	2.87429i	−0.468330	+	0.270390i	0.247211	+	0.968962i	$0.420486\pi$
$114$	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	0.952676	+	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	$-0.927612\pi$
$131$		−	5.16099i		−	0.450918i	0.974253	−	0.225459i	$-0.0723882\pi$
$132$	−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	0.449265	−	0.893399i	$-0.351686\pi$
$137$	4.58404	+	1.22829i	0.391641	+	0.104940i	−0.0576244	+	0.998338i	$0.518353\pi$
$138$	12.2820	+	0.0451299i	1.04552	+	0.00384171i
$139$	−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
$141$	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	0.716776	+	0.697303i	$0.245617\pi$
$149$	−3.08364	+	11.5083i	−0.252622	+	0.942798i	−0.969398	+	0.245494i	$0.921050\pi$
$150$	7.12776	−	4.08037i	0.581979	−	0.333160i
$151$	−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
$153$	−1.73006	−	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	0.765619	+	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
$165$	−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	0.882903	−	0.469556i	$-0.155586\pi$
$167$	−1.50540	−	5.61824i	−0.116492	−	0.434752i	−0.999394	+	0.0348038i	$0.988919\pi$
$168$	−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	0.979589	+	0.201012i	$0.0644230\pi$
$173$	8.73192	+	15.1241i	0.663876	+	1.14987i	−0.315713	+	0.948855i	$0.602244\pi$
$174$	−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	−0.889443	−	0.457046i	$-0.848908\pi$
$179$	−0.654352	+	1.13337i	−0.0489086	+	0.0847121i	0.840535	+	0.541758i	$0.182241\pi$
$180$	−1.47529	+	0.383705i	−0.109962	+	0.0285997i
$181$			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
$186$	−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	−0.915769	−	0.401705i	$-0.868418\pi$
$191$	−14.1764	+	8.18474i	−1.02577	+	0.592227i	−0.109998	+	0.993932i	$0.535084\pi$
$192$	1.67467	−	0.442137i	0.120859	−	0.0319085i
$193$	−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
$195$	−2.58833	−	1.83574i	−0.185354	−	0.131460i
$196$	−1.00000			−0.0714286
$197$	1.67284	−	0.448237i	0.119185	−	0.0319356i	−0.198733	−	0.980054i	$-0.563683\pi$
$197$	1.67284	−	0.448237i	0.119185	−	0.0319356i	0.317919	+	0.948118i	$0.397016\pi$
$198$	−5.28778	−	3.10493i	−0.375786	−	0.220658i
$199$	−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
$201$	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	−0.727378	−	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
$213$	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	0.997552	−	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
$225$	7.02199	+	12.3715i	0.468133	+	0.824768i
$226$	−4.06486	+	4.06486i	−0.270390	+	0.270390i
$227$	3.85346	−	14.3813i	0.255763	−	0.954521i	−0.711901	−	0.702280i	$-0.752166\pi$
$227$	3.85346	−	14.3813i	0.255763	−	0.954521i	0.967664	−	0.252241i	$-0.0811677\pi$
$228$	2.77380	+	4.84539i	0.183699	+	0.320894i
$229$	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
$231$	−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	0.587658	−	0.809110i	$-0.300050\pi$
$239$	−3.42357	−	3.42357i	−0.221452	−	0.221452i	−0.809110	+	0.587658i	$0.800050\pi$
$240$	0.437245	+	0.763798i	0.0282240	+	0.0493029i
$241$	−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
$243$	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	0.999783	+	0.0208483i	$0.00663670\pi$
$251$	8.20582	+	14.2129i	0.517946	+	0.897110i	−0.481836	+	0.876261i	$0.660030\pi$
$252$	−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	−0.995516	−	0.0945940i	$-0.969845\pi$
$257$	−6.66638	+	11.5465i	−0.415837	+	0.720251i	0.579679	+	0.814845i	$0.303178\pi$
$258$	−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	0.714140	−	0.700003i	$-0.246818\pi$
$263$	7.54086	+	4.35372i	0.464989	+	0.268462i	−0.249151	+	0.968465i	$0.580151\pi$
$264$	−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	−0.949453	−	0.313910i	$-0.898361\pi$
$269$	−18.8995	+	10.9116i	−1.15232	+	0.665295i	−0.202872	+	0.979205i	$0.565028\pi$
$270$	−0.655203	−	2.55770i	−0.0398744	−	0.155657i
$271$	−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
$273$	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	−0.467309	−	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
$279$	4.69096	−	17.0060i	0.280840	−	1.01812i
$280$	−0.131512	+	0.490810i	−0.00785935	+	0.0293315i
$281$	23.6538	−	23.6538i	1.41107	−	1.41107i	0.658394	−	0.752674i	$-0.271236\pi$
$281$	23.6538	−	23.6538i	1.41107	−	1.41107i	0.752674	−	0.658394i	$-0.228764\pi$
$282$	21.6385	+	5.88331i	1.28855	+	0.350346i
$283$	−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
$288$	0.755141	+	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	0.802969	−	0.596021i	$-0.203253\pi$
$293$	20.5467	+	5.50546i	1.20035	+	0.321633i	0.397381	+	0.917654i	$0.369919\pi$
$294$	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	0.851604	−	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
$309$	0.320430	−	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	0.713457	−	0.700699i	$-0.247128\pi$
$317$	0.227144	+	0.227144i	0.0127577	+	0.0127577i	−0.700699	+	0.713457i	$0.747128\pi$
$318$	−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	0.688032	−	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
$333$	10.4994	−	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	$0.274300\pi$
$337$			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
$342$	−8.41006	+	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	−0.994507	−	0.104672i	$-0.966621\pi$
$347$	−26.0998	+	15.0687i	−1.40111	+	0.808932i	−0.406605	+	0.913604i	$0.633287\pi$
$348$	1.32510	+	5.01903i	0.0710328	+	0.269048i
$349$	−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
$351$	14.5117	−	11.8495i	0.774577	−	0.632479i
$352$	2.04399			0.108945
$353$	1.42334	−	0.381382i	0.0757565	−	0.0202989i	−0.220742	−	0.975332i	$-0.570848\pi$
$353$	1.42334	−	0.381382i	0.0757565	−	0.0202989i	0.296498	+	0.955033i	$0.404181\pi$
$354$	−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	−0.979445	−	0.201709i	$-0.935350\pi$
$359$	−14.7360	+	14.7360i	−0.777736	+	0.777736i	0.201709	+	0.979445i	$0.435350\pi$
$360$	−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	−0.779178	−	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
$369$	−12.3020	+	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	0.893340	−	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
$375$	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	0.871105	−	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
$381$	−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	−0.999079	−	0.0428999i	$-0.986340\pi$
$383$	−2.19974	+	8.20953i	−0.112401	+	0.419487i	0.886678	+	0.462387i	$0.153007\pi$
$384$	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	0.390849	+	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
$399$	−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	−0.994548	−	0.104280i	$-0.966746\pi$
$401$	−3.71231	−	13.8545i	−0.185384	−	0.691863i	0.809164	−	0.587583i	$-0.199920\pi$
$402$	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	0.253208	−	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
$411$	−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	−0.112573	−	0.993644i	$-0.535909\pi$
$419$	−21.0709	−	12.1653i	−1.02938	−	0.594312i	−0.916807	+	0.399331i	$0.869242\pi$
$420$	−0.849265	−	0.230908i	−0.0414399	−	0.0112671i
$421$	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
$423$	−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	−0.0423435	−	0.999103i	$-0.513482\pi$
$431$	8.73059	−	2.33935i	0.420538	−	0.112683i	0.462881	+	0.886420i	$0.346816\pi$
$432$	−5.03362	+	1.28946i	−0.242180	+	0.0620390i
$433$	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
$435$	−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	−0.244395	−	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	$0.277225\pi$
$443$			32.1997i			1.52985i	−0.644118	+	0.764926i	$0.722775\pi$
$444$	−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	−0.638163	−	0.769901i	$-0.720305\pi$
$449$	−33.3902	−	8.94687i	−1.57578	−	0.422229i	−0.937616	+	0.347672i	$0.886972\pi$
$450$	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	0.987100	−	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
$459$	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	0.773502	+	0.633794i	$0.218503\pi$
$461$	−4.57904	+	17.0892i	−0.213267	+	0.795924i	−0.986769	+	0.162130i	$0.948164\pi$
$462$	−1.75887	−	3.07247i	−0.0818302	−	0.142944i
$463$	−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
$465$	−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	0.930912	−	0.365244i	$-0.119014\pi$
$479$	−1.26728	−	4.72955i	−0.0579035	−	0.216099i	−0.988815	+	0.149145i	$0.952348\pi$
$480$	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	0.704448	−	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
$489$	−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	−0.402859	−	0.915262i	$-0.631984\pi$
$491$	13.1003	−	22.6905i	0.591210	−	1.02401i	0.994070	−	0.108744i	$-0.0346830\pi$
$492$	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	−0.490951	−	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
$501$	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	−0.535586	+	0.844481i	$0.679909\pi$
$503$	−34.4202	+	19.8725i	−1.53472	+	0.886071i	−0.999135	+	0.0415906i	$0.986757\pi$
$504$	−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	−0.883704	−	0.468046i	$-0.844958\pi$
$509$	−31.9237	+	8.55392i	−1.41499	+	0.379146i	−0.531287	+	0.847192i	$0.678291\pi$
$510$	−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	$-0.852069\pi$
$521$		−	20.4603i		−	0.896381i	0.893938	−	0.448190i	$-0.147931\pi$
$522$	−8.70159	+	2.26318i	−0.380858	+	0.0990567i
$523$	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
$525$	−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	0.962525	−	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
$543$	−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	−0.842294	−	0.539018i	$-0.818795\pi$
$557$	−9.02390	−	33.6777i	−0.382355	−	1.42697i	0.459939	−	0.887950i	$-0.347871\pi$
$558$	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	−0.993149	−	0.116853i	$-0.962720\pi$
$563$	−14.1837	−	24.5669i	−0.597772	−	1.03537i	0.395377	−	0.918519i	$-0.370614\pi$
$564$	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	−0.648315	−	0.761373i	$-0.724526\pi$
$569$	7.99602	−	13.8495i	0.335211	−	0.580602i	0.983525	+	0.180771i	$0.0578591\pi$
$570$	−1.42749	+	2.45164i	−0.0597909	+	0.102688i
$571$			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
$576$	1.48087	+	2.60903i	0.0617028	+	0.108710i
$577$	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
$579$	−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	0.686872	−	0.726778i	$-0.258983\pi$
$587$	39.8579	−	10.6799i	1.64511	−	0.440806i	0.958238	+	0.285972i	$0.0923165\pi$
$588$	−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	−0.793920	−	0.608022i	$-0.791963\pi$
$593$	−4.52692	+	4.52692i	−0.185898	+	0.185898i	0.608022	+	0.793920i	$0.291963\pi$
$594$	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	$-0.764913\pi$
$599$		−	32.9531i		−	1.34643i	0.739448	−	0.673214i	$-0.235087\pi$
$600$	4.13264	−	7.09758i	0.168714	−	0.289757i
$601$	−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
$603$	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	−0.901741	−	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
$609$	−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	−0.935795	−	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
$615$	−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	−0.902747	−	0.430173i	$-0.858453\pi$
$617$	2.33842	−	8.72710i	0.0941413	−	0.351340i	0.996888	+	0.0788328i	$0.0251193\pi$
$618$	0.287616	−	0.164649i	0.0115696	−	0.00662316i
$619$	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
$621$	−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	−0.985337	−	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
$633$	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	0.597506	−	0.801865i	$-0.296159\pi$
$641$	−10.0179	−	17.3515i	−0.395682	−	0.685342i	−0.993188	+	0.116523i	$0.962825\pi$
$642$	0.0669776	−	18.2279i	0.00264339	−	0.719397i
$643$	−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
$645$	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	−0.166921	−	0.985970i	$-0.553383\pi$
$647$	19.5964	−	33.9420i	0.770415	−	1.33440i	0.937336	−	0.348427i	$-0.113284\pi$
$648$	−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	0.113850	−	0.993498i	$-0.463682\pi$
$653$	−17.6224	−	10.1743i	−0.689619	−	0.398152i	−0.803469	+	0.595346i	$0.797015\pi$
$654$	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	−0.194035	−	0.980995i	$-0.562158\pi$
$659$	14.3376	−	8.27782i	0.558514	−	0.322458i	0.752549	+	0.658537i	$0.228824\pi$
$660$	−1.73931	+	0.459205i	−0.0677027	+	0.0178745i
$661$	−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
$663$	−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	0.151427	−	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	$0.0238489\pi$
$677$			3.89526i			0.149707i	−0.997195	+	0.0748536i	$0.976151\pi$
$678$	−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	0.913440	−	0.406973i	$-0.133416\pi$
$683$	39.2280	+	10.5111i	1.50102	+	0.402196i	0.587576	+	0.809169i	$0.300082\pi$
$684$	−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	−0.878607	−	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
$693$	5.33284	−	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	0.492826	+	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
$711$	36.7438	−	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	0.978657	+	0.205502i	$0.0658826\pi$
$719$	17.8930	+	30.9917i	0.667298	+	1.15579i	−0.311359	+	0.950292i	$0.600784\pi$
$720$	−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	$0.0588120\pi$
$727$			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
$732$	−0.962648	+	3.54056i	−0.0355805	+	0.130863i
$733$	−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
$735$	0.763798	−	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	0.446496	−	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
$741$	−20.0429	−	1.87543i	−0.736293	−	0.0688957i
$742$	−2.70226			−0.0992030
$743$	9.37865	−	2.51300i	0.344069	−	0.0921930i	−0.0826464	−	0.996579i	$-0.526337\pi$
$743$	9.37865	−	2.51300i	0.344069	−	0.0921930i	0.426716	+	0.904386i	$0.359671\pi$
$744$	−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	0.746893	−	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
$756$	2.64752	−	4.47109i	0.0962895	−	0.162612i
$757$	−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
$759$	−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	−0.167086	−	0.985942i	$-0.553436\pi$
$761$	−22.2002	−	5.94853i	−0.804758	−	0.215634i	−0.637672	+	0.770308i	$0.720102\pi$
$762$	−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	0.909025	+	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
$771$	−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	−0.999505	−	0.0314723i	$-0.989980\pi$
$773$	−3.28552	+	12.2617i	−0.118172	+	0.441024i	0.881333	+	0.472496i	$0.156647\pi$
$774$	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	−0.998713	−	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
$789$	−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	0.852121	−	0.523344i	$-0.175316\pi$
$797$	−0.767007	−	1.32850i	−0.0271688	−	0.0470577i	−0.879290	+	0.476287i	$0.841982\pi$
$798$	−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	0.837506	−	0.546428i	$-0.184013\pi$
$809$	22.2719	+	12.8587i	0.783039	+	0.452088i	−0.0544675	+	0.998516i	$0.517346\pi$
$810$	3.99361	−	2.22810i	0.140321	−	0.0782876i
$811$	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
$813$	−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	0.0856604	−	0.996324i	$-0.472700\pi$
$821$	18.8539	−	5.05190i	0.658007	−	0.176312i	0.572346	+	0.820012i	$0.306033\pi$
$822$	2.09827	+	7.94755i	0.0731856	+	0.277202i
$823$	−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
$825$	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	−0.617382	−	0.786664i	$-0.711807\pi$
$827$	4.86814	−	4.86814i	0.169282	−	0.169282i	0.786664	+	0.617382i	$0.211807\pi$
$828$	10.5010	+	18.5009i	0.364933	+	0.642949i
$829$	−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
$834$	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	0.757944	−	0.652320i	$-0.226204\pi$
$839$	31.5197	+	8.44569i	1.08818	+	0.291577i	0.330238	+	0.943898i	$0.392871\pi$
$840$	−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	0.172265	−	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
$855$	−4.23724	−	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	0.0316405	−	0.999499i	$-0.489927\pi$
$863$	−28.4327	−	28.4327i	−0.967859	−	0.967859i	−0.999499	+	0.0316405i	$0.989927\pi$
$864$	−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	0.863210	−	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
$879$	−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	−0.852770	−	0.522287i	$-0.825079\pi$
$881$	0.769622	−	1.33302i	0.0259292	−	0.0449107i	0.878699	+	0.477377i	$0.158412\pi$
$882$	2.90341	−	0.755141i	0.0977627	−	0.0254269i
$883$		−	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	0.825978	−	0.563702i	$-0.190623\pi$
$887$	22.3603	+	12.9097i	0.750787	+	0.433467i	−0.0751913	+	0.997169i	$0.523957\pi$
$888$	−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	0.953591	−	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	$0.153554\pi$
$911$			28.0043i			0.927823i	−0.885882	+	0.463911i	$0.846446\pi$
$912$	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	0.917629	+	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
$921$	−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	0.134872	+	0.990863i	$0.456938\pi$
$929$	−14.5498	+	54.3004i	−0.477362	+	1.78154i	−0.612234	+	0.790677i	$0.709729\pi$
$930$	−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	0.615611	−	0.788050i	$-0.288909\pi$
$941$	−5.28968	−	5.28968i	−0.172439	−	0.172439i	−0.788050	+	0.615611i	$0.788909\pi$
$942$	−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	0.994444	−	0.105264i	$-0.0335687\pi$
$947$	2.48028	+	9.25653i	0.0805983	+	0.300797i	−0.913846	+	0.406061i	$0.866902\pi$
$948$	−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	0.675807	−	0.737079i	$-0.263795\pi$
$953$	−9.27435	−	16.0636i	−0.300426	−	0.520352i	−0.976232	+	0.216726i	$0.930462\pi$
$954$	−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	−0.767390	−	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
$969$	−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	−0.708595	−	0.705616i	$-0.750670\pi$
$971$	−14.0788	+	8.12841i	−0.451811	+	0.260853i	0.256784	+	0.966469i	$0.417337\pi$
$972$	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	−0.247523	−	0.968882i	$-0.579617\pi$
$977$	0.705049	−	0.188917i	0.0225565	−	0.00604400i	0.270080	+	0.962838i	$0.412950\pi$
$978$	−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	0.0124519	−	0.999922i	$-0.496036\pi$
$983$	31.7408	−	31.7408i	1.01237	−	1.01237i	0.999922	−	0.0124519i	$-0.00396365\pi$
$984$	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	−0.302726	+	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
$993$	−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	0.587359	−	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
$999$	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.71.11	✓	56
3.2	odd	2		546.2.bu.b.71.1	yes	56
13.11	odd	12		546.2.bu.b.323.1	yes	56
39.11	even	12	inner	546.2.bu.a.323.11	yes	56

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

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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