LMFDB - Embedded newform 495.2.bc.c.122.29

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [495,2,Mod(23,495)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(495, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([10, 9, 0]))

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

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

chi := DirichletCharacter("495.23");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 495 = 3^{2} \cdot 5 \cdot 11 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	495.bc (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:	$3.95259490005$
Analytic rank:	$0$
Dimension:	$116$
Relative dimension:	$29$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			122.29
Character	$\chi$	$=$	495.122
Dual form			495.2.bc.c.353.29

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(2.71201 + 0.726681i) q^{2} +(-0.190044 - 1.72159i) q^{3} +(5.09488 + 2.94153i) q^{4} +(-1.69643 - 1.45676i) q^{5} +(0.735647 - 4.80708i) q^{6} +(0.550121 - 2.05308i) q^{7} +(7.70916 + 7.70916i) q^{8} +(-2.92777 + 0.654358i) q^{9} +O(q^{10})$	\(q+(2.71201 + 0.726681i) q^{2} +(-0.190044 - 1.72159i) q^{3} +(5.09488 + 2.94153i) q^{4} +(-1.69643 - 1.45676i) q^{5} +(0.735647 - 4.80708i) q^{6} +(0.550121 - 2.05308i) q^{7} +(7.70916 + 7.70916i) q^{8} +(-2.92777 + 0.654358i) q^{9} +(-3.54212 - 5.18350i) q^{10} +(0.866025 - 0.500000i) q^{11} +(4.09587 - 9.33034i) q^{12} +(-0.143785 - 0.536612i) q^{13} +(2.98387 - 5.16821i) q^{14} +(-2.18555 + 3.19740i) q^{15} +(9.42216 + 16.3197i) q^{16} +(-0.0807634 + 0.0807634i) q^{17} +(-8.41564 - 0.352926i) q^{18} +3.56776i q^{19} +(-4.35799 - 12.4121i) q^{20} +(-3.63912 - 0.556909i) q^{21} +(2.71201 - 0.726681i) q^{22} +(-6.28659 + 1.68449i) q^{23} +(11.8070 - 14.7371i) q^{24} +(0.755717 + 4.94256i) q^{25} -1.55978i q^{26} +(1.68294 + 4.91607i) q^{27} +(8.84201 - 8.84201i) q^{28} +(2.77553 + 4.80735i) q^{29} +(-8.25072 + 7.08319i) q^{30} +(1.67594 - 2.90281i) q^{31} +(8.05031 + 30.0442i) q^{32} +(-1.02538 - 1.39592i) q^{33} +(-0.277720 + 0.160342i) q^{34} +(-3.92408 + 2.68150i) q^{35} +(-16.8414 - 5.27824i) q^{36} +(-5.38155 - 5.38155i) q^{37} +(-2.59262 + 9.67579i) q^{38} +(-0.896502 + 0.349519i) q^{39} +(-1.84764 - 24.3084i) q^{40} +(-4.76178 - 2.74922i) q^{41} +(-9.46463 - 4.15482i) q^{42} +(3.50624 + 0.939495i) q^{43} +5.88306 q^{44} +(5.91998 + 3.15498i) q^{45} -18.2734 q^{46} +(-0.647510 - 0.173500i) q^{47} +(26.3052 - 19.3226i) q^{48} +(2.14967 + 1.24111i) q^{49} +(-1.54215 + 13.9534i) q^{50} +(0.154390 + 0.123693i) q^{51} +(0.845895 - 3.15692i) q^{52} +(-8.50253 - 8.50253i) q^{53} +(0.991749 + 14.5554i) q^{54} +(-2.19753 - 0.413376i) q^{55} +(20.0685 - 11.5866i) q^{56} +(6.14223 - 0.678032i) q^{57} +(4.03384 + 15.0545i) q^{58} +(-3.70975 + 6.42548i) q^{59} +(-20.5404 + 9.86153i) q^{60} +(1.32301 + 2.29152i) q^{61} +(6.65457 - 6.65457i) q^{62} +(-0.267177 + 6.37092i) q^{63} +49.6415i q^{64} +(-0.537793 + 1.11978i) q^{65} +(-1.76645 - 4.53088i) q^{66} +(-3.03847 + 0.814155i) q^{67} +(-0.649048 + 0.173912i) q^{68} +(4.09473 + 10.5028i) q^{69} +(-12.5907 + 4.42071i) q^{70} +2.78232i q^{71} +(-27.6152 - 17.5261i) q^{72} +(9.56867 - 9.56867i) q^{73} +(-10.6841 - 18.5055i) q^{74} +(8.36546 - 2.24034i) q^{75} +(-10.4947 + 18.1773i) q^{76} +(-0.550121 - 2.05308i) q^{77} +(-2.68531 + 0.296428i) q^{78} +(-0.571719 + 0.330082i) q^{79} +(7.78979 - 41.4109i) q^{80} +(8.14363 - 3.83161i) q^{81} +(-10.9162 - 10.9162i) q^{82} +(2.21020 - 8.24857i) q^{83} +(-16.9027 - 13.5420i) q^{84} +(0.254662 - 0.0193564i) q^{85} +(8.82626 + 5.09584i) q^{86} +(7.74883 - 5.69194i) q^{87} +(10.5309 + 2.82175i) q^{88} -8.91929 q^{89} +(13.7624 + 12.8583i) q^{90} -1.18081 q^{91} +(-36.9844 - 9.90994i) q^{92} +(-5.31595 - 2.33362i) q^{93} +(-1.62997 - 0.941066i) q^{94} +(5.19736 - 6.05243i) q^{95} +(50.1939 - 19.5691i) q^{96} +(-1.14542 + 4.27476i) q^{97} +(4.92804 + 4.92804i) q^{98} +(-2.20834 + 2.03057i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 116 q - 4 q^{2} + 8 q^{3} - 6 q^{4} + 2 q^{5} - 2 q^{6} + 8 q^{7} - 2 q^{8} - 16 q^{9}+O(q^{10}) $ 116 * q - 4 * q^2 + 8 * q^3 - 6 * q^4 + 2 * q^5 - 2 * q^6 + 8 * q^7 - 2 * q^8 - 16 * q^9	\( 116 q - 4 q^{2} + 8 q^{3} - 6 q^{4} + 2 q^{5} - 2 q^{6} + 8 q^{7} - 2 q^{8} - 16 q^{9} + 6 q^{10} + 6 q^{12} - 12 q^{13} + 10 q^{14} - 18 q^{15} + 62 q^{16} + 8 q^{17} - 12 q^{18} - 18 q^{20} - 10 q^{21} - 4 q^{22} - 40 q^{23} + 62 q^{24} - 6 q^{25} - 58 q^{27} + 18 q^{28} + 2 q^{29} - 70 q^{30} - 2 q^{31} - 66 q^{32} + 24 q^{34} - 2 q^{35} + 24 q^{36} - 14 q^{37} - 6 q^{38} - 4 q^{39} - 100 q^{40} + 6 q^{41} - 30 q^{42} - 22 q^{43} + 120 q^{44} + 94 q^{45} - 44 q^{46} + 32 q^{47} + 108 q^{48} + 18 q^{49} - 22 q^{50} - 8 q^{51} - 126 q^{52} + 44 q^{53} - 28 q^{54} + 2 q^{55} + 42 q^{56} + 20 q^{57} + 2 q^{58} - 22 q^{59} - 68 q^{60} - 10 q^{61} + 16 q^{62} - 8 q^{63} - 60 q^{65} + 6 q^{66} + 36 q^{67} - 48 q^{68} + 76 q^{69} + 154 q^{70} - 228 q^{72} + 12 q^{73} + 8 q^{74} - 72 q^{75} - 6 q^{76} - 8 q^{77} - 110 q^{78} + 6 q^{79} - 4 q^{80} + 44 q^{81} - 50 q^{82} + 30 q^{83} - 222 q^{84} - 126 q^{85} + 90 q^{86} + 112 q^{87} + 2 q^{88} - 8 q^{89} + 72 q^{90} + 72 q^{91} - 132 q^{92} + 112 q^{93} - 42 q^{94} + 78 q^{95} + 68 q^{96} - 72 q^{97} - 16 q^{98} + 4 q^{99}+O(q^{100}) \) 116 * q - 4 * q^2 + 8 * q^3 - 6 * q^4 + 2 * q^5 - 2 * q^6 + 8 * q^7 - 2 * q^8 - 16 * q^9 + 6 * q^10 + 6 * q^12 - 12 * q^13 + 10 * q^14 - 18 * q^15 + 62 * q^16 + 8 * q^17 - 12 * q^18 - 18 * q^20 - 10 * q^21 - 4 * q^22 - 40 * q^23 + 62 * q^24 - 6 * q^25 - 58 * q^27 + 18 * q^28 + 2 * q^29 - 70 * q^30 - 2 * q^31 - 66 * q^32 + 24 * q^34 - 2 * q^35 + 24 * q^36 - 14 * q^37 - 6 * q^38 - 4 * q^39 - 100 * q^40 + 6 * q^41 - 30 * q^42 - 22 * q^43 + 120 * q^44 + 94 * q^45 - 44 * q^46 + 32 * q^47 + 108 * q^48 + 18 * q^49 - 22 * q^50 - 8 * q^51 - 126 * q^52 + 44 * q^53 - 28 * q^54 + 2 * q^55 + 42 * q^56 + 20 * q^57 + 2 * q^58 - 22 * q^59 - 68 * q^60 - 10 * q^61 + 16 * q^62 - 8 * q^63 - 60 * q^65 + 6 * q^66 + 36 * q^67 - 48 * q^68 + 76 * q^69 + 154 * q^70 - 228 * q^72 + 12 * q^73 + 8 * q^74 - 72 * q^75 - 6 * q^76 - 8 * q^77 - 110 * q^78 + 6 * q^79 - 4 * q^80 + 44 * q^81 - 50 * q^82 + 30 * q^83 - 222 * q^84 - 126 * q^85 + 90 * q^86 + 112 * q^87 + 2 * q^88 - 8 * q^89 + 72 * q^90 + 72 * q^91 - 132 * q^92 + 112 * q^93 - 42 * q^94 + 78 * q^95 + 68 * q^96 - 72 * q^97 - 16 * q^98 + 4 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/495\mathbb{Z}\right)^\times$.

$n$	$46$	$56$	$397$
$\chi(n)$	$1$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{1}{4}\right)$

Coefficient data

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

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

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

$2$	2.71201	+	0.726681i	1.91768	+	0.513841i	0.990132	+	0.140140i	$0.0447551\pi$
$2$	2.71201	+	0.726681i	1.91768	+	0.513841i	0.927549	+	0.373701i	$0.121912\pi$
$3$	−0.190044	−	1.72159i	−0.109722	−	0.993962i
$3$	−0.190044	−	1.72159i	−0.109722	−	0.993962i
$4$	5.09488	+	2.94153i	2.54744	+	1.47077i
$5$	−1.69643	−	1.45676i	−0.758664	−	0.651482i
$5$	−1.69643	−	1.45676i	−0.758664	−	0.651482i
$6$	0.735647	−	4.80708i	0.300327	−	1.96248i
$7$	0.550121	−	2.05308i	0.207926	−	0.775991i	−0.780611	−	0.625017i	$-0.785092\pi$
$7$	0.550121	−	2.05308i	0.207926	−	0.775991i	0.988538	−	0.150975i	$-0.0482412\pi$
$8$	7.70916	+	7.70916i	2.72560	+	2.72560i
$9$	−2.92777	+	0.654358i	−0.975922	+	0.218119i
$10$	−3.54212	−	5.18350i	−1.12012	−	1.63917i
$11$	0.866025	−	0.500000i	0.261116	−	0.150756i
$11$	0.866025	−	0.500000i	0.261116	−	0.150756i
$12$	4.09587	−	9.33034i	1.18238	−	2.69344i
$13$	−0.143785	−	0.536612i	−0.0398787	−	0.148829i	0.943116	−	0.332464i	$-0.107880\pi$
$13$	−0.143785	−	0.536612i	−0.0398787	−	0.148829i	−0.982994	+	0.183635i	$0.941213\pi$
$14$	2.98387	−	5.16821i	0.797473	−	1.38126i
$15$	−2.18555	+	3.19740i	−0.564306	+	0.825566i
$16$	9.42216	+	16.3197i	2.35554	+	4.07991i
$17$	−0.0807634	+	0.0807634i	−0.0195880	+	0.0195880i	−0.716833	−	0.697245i	$-0.754409\pi$
$17$	−0.0807634	+	0.0807634i	−0.0195880	+	0.0195880i	0.697245	+	0.716833i	$0.254409\pi$
$18$	−8.41564	−	0.352926i	−1.98359	−	0.0831855i
$19$			3.56776i			0.818500i	0.912422	+	0.409250i	$0.134210\pi$
$19$			3.56776i			0.818500i	−0.912422	+	0.409250i	$0.865790\pi$
$20$	−4.35799	−	12.4121i	−0.974476	−	2.77543i
$21$	−3.63912	−	0.556909i	−0.794120	−	0.121527i
$22$	2.71201	−	0.726681i	0.578203	−	0.154929i
$23$	−6.28659	+	1.68449i	−1.31084	+	0.351240i	−0.845540	−	0.533911i	$-0.820722\pi$
$23$	−6.28659	+	1.68449i	−1.31084	+	0.351240i	−0.465304	+	0.885151i	$0.654055\pi$
$24$	11.8070	−	14.7371i	2.41009	−	3.00820i
$25$	0.755717	+	4.94256i	0.151143	+	0.988512i
$26$		−	1.55978i		−	0.305898i
$27$	1.68294	+	4.91607i	0.323883	+	0.946097i
$28$	8.84201	−	8.84201i	1.67098	−	1.67098i
$29$	2.77553	+	4.80735i	0.515402	+	0.892703i	0.999840	+	0.0178772i	$0.00569079\pi$
$29$	2.77553	+	4.80735i	0.515402	+	0.892703i	−0.484438	+	0.874826i	$0.660976\pi$
$30$	−8.25072	+	7.08319i	−1.50637	+	1.29321i
$31$	1.67594	−	2.90281i	0.301007	−	0.521359i	−0.675357	−	0.737491i	$-0.736011\pi$
$31$	1.67594	−	2.90281i	0.301007	−	0.521359i	0.976364	+	0.216131i	$0.0693439\pi$
$32$	8.05031	+	30.0442i	1.42311	+	5.31111i
$33$	−1.02538	−	1.39592i	−0.178496	−	0.242999i
$34$	−0.277720	+	0.160342i	−0.0476286	+	0.0274984i
$35$	−3.92408	+	2.68150i	−0.663290	+	0.453257i
$36$	−16.8414	−	5.27824i	−2.80691	−	0.879707i
$37$	−5.38155	−	5.38155i	−0.884721	−	0.884721i	0.109289	−	0.994010i	$-0.465143\pi$
$37$	−5.38155	−	5.38155i	−0.884721	−	0.884721i	−0.994010	+	0.109289i	$0.965143\pi$
$38$	−2.59262	+	9.67579i	−0.420579	+	1.56962i
$39$	−0.896502	+	0.349519i	−0.143555	+	0.0559678i
$40$	−1.84764	−	24.3084i	−0.292137	−	3.84349i
$41$	−4.76178	−	2.74922i	−0.743666	−	0.429356i	0.0797349	−	0.996816i	$-0.474593\pi$
$41$	−4.76178	−	2.74922i	−0.743666	−	0.429356i	−0.823401	+	0.567461i	$0.807926\pi$
$42$	−9.46463	−	4.15482i	−1.46042	−	0.641102i
$43$	3.50624	+	0.939495i	0.534697	+	0.143272i	0.516057	−	0.856555i	$-0.327399\pi$
$43$	3.50624	+	0.939495i	0.534697	+	0.143272i	0.0186408	+	0.999826i	$0.494066\pi$
$44$	5.88306			0.886905
$45$	5.91998	+	3.15498i	0.882498	+	0.470316i
$46$	−18.2734			−2.69426
$47$	−0.647510	−	0.173500i	−0.0944490	−	0.0253075i	0.211285	−	0.977424i	$-0.432235\pi$
$47$	−0.647510	−	0.173500i	−0.0944490	−	0.0253075i	−0.305734	+	0.952117i	$0.598902\pi$
$48$	26.3052	−	19.3226i	3.79683	−	2.78897i
$49$	2.14967	+	1.24111i	0.307096	+	0.177302i
$50$	−1.54215	+	13.9534i	−0.218093	+	1.97331i
$51$	0.154390	+	0.123693i	0.0216190	+	0.0173205i
$52$	0.845895	−	3.15692i	0.117304	−	0.437786i
$53$	−8.50253	−	8.50253i	−1.16791	−	1.16791i	−0.982698	−	0.185213i	$-0.940702\pi$
$53$	−8.50253	−	8.50253i	−1.16791	−	1.16791i	−0.185213	−	0.982698i	$-0.559298\pi$
$54$	0.991749	+	14.5554i	0.134960	+	1.98074i
$55$	−2.19753	−	0.413376i	−0.296314	−	0.0557396i
$56$	20.0685	−	11.5866i	2.68177	−	1.54832i
$57$	6.14223	−	0.678032i	0.813558	−	0.0898075i
$58$	4.03384	+	15.0545i	0.529670	+	1.97675i
$59$	−3.70975	+	6.42548i	−0.482969	+	0.836526i	−0.999809	−	0.0195556i	$-0.993775\pi$
$59$	−3.70975	+	6.42548i	−0.482969	+	0.836526i	0.516840	+	0.856082i	$0.327108\pi$
$60$	−20.5404	+	9.86153i	−2.65175	+	1.27312i
$61$	1.32301	+	2.29152i	0.169394	+	0.293399i	0.938207	−	0.346075i	$-0.112486\pi$
$61$	1.32301	+	2.29152i	0.169394	+	0.293399i	−0.768813	+	0.639474i	$0.779152\pi$
$62$	6.65457	−	6.65457i	0.845131	−	0.845131i
$63$	−0.267177	+	6.37092i	−0.0336611	+	0.802660i
$64$			49.6415i			6.20518i
$65$	−0.537793	+	1.11978i	−0.0667050	+	0.138892i
$66$	−1.76645	−	4.53088i	−0.217435	−	0.557712i
$67$	−3.03847	+	0.814155i	−0.371208	+	0.0994648i	−0.439600	−	0.898194i	$-0.644880\pi$
$67$	−3.03847	+	0.814155i	−0.371208	+	0.0994648i	0.0683921	+	0.997659i	$0.478213\pi$
$68$	−0.649048	+	0.173912i	−0.0787086	+	0.0210899i
$69$	4.09473	+	10.5028i	0.492948	+	1.26439i
$70$	−12.5907	+	4.42071i	−1.50488	+	0.528376i
$71$			2.78232i			0.330200i	0.986277	+	0.165100i	$0.0527947\pi$
$71$			2.78232i			0.330200i	−0.986277	+	0.165100i	$0.947205\pi$
$72$	−27.6152	−	17.5261i	−3.25448	−	2.06547i
$73$	9.56867	−	9.56867i	1.11993	−	1.11993i	0.128177	−	0.991751i	$-0.459087\pi$
$73$	9.56867	−	9.56867i	1.11993	−	1.11993i	0.991751	−	0.128177i	$-0.0409125\pi$
$74$	−10.6841	−	18.5055i	−1.24201	−	2.15122i
$75$	8.36546	−	2.24034i	0.965960	−	0.258692i
$76$	−10.4947	+	18.1773i	−1.20382	+	2.08508i
$77$	−0.550121	−	2.05308i	−0.0626921	−	0.233970i
$78$	−2.68531	+	0.296428i	−0.304052	+	0.0335638i
$79$	−0.571719	+	0.330082i	−0.0643234	+	0.0371371i	−0.531817	−	0.846859i	$-0.678490\pi$
$79$	−0.571719	+	0.330082i	−0.0643234	+	0.0371371i	0.467493	+	0.883997i	$0.345157\pi$
$80$	7.78979	−	41.4109i	0.870925	−	4.62988i
$81$	8.14363	−	3.83161i	0.904848	−	0.425735i
$82$	−10.9162	−	10.9162i	−1.20549	−	1.20549i
$83$	2.21020	−	8.24857i	0.242601	−	0.905399i	−0.731973	−	0.681333i	$-0.761400\pi$
$83$	2.21020	−	8.24857i	0.242601	−	0.905399i	0.974574	−	0.224065i	$-0.0719329\pi$
$84$	−16.9027	−	13.5420i	−1.84424	−	1.47755i
$85$	0.254662	−	0.0193564i	0.0276219	−	0.00209949i
$86$	8.82626	+	5.09584i	0.951760	+	0.549499i
$87$	7.74883	−	5.69194i	0.830762	−	0.610240i
$88$	10.5309	+	2.82175i	1.12260	+	0.300799i
$89$	−8.91929			−0.945443			−0.472722	−	0.881212i	$-0.656728\pi$
$89$	−8.91929			−0.945443			−0.472722	+	0.881212i	$0.656728\pi$
$90$	13.7624	+	12.8583i	1.45068	+	1.35538i
$91$	−1.18081			−0.123782
$92$	−36.9844	−	9.90994i	−3.85589	−	1.03318i
$93$	−5.31595	−	2.33362i	−0.551239	−	0.241985i
$94$	−1.62997	−	0.941066i	−0.168119	−	0.0970635i
$95$	5.19736	−	6.05243i	0.533237	−	0.620966i
$96$	50.1939	−	19.5691i	5.12290	−	1.99726i
$97$	−1.14542	+	4.27476i	−0.116300	+	0.434036i	−0.999381	−	0.0351841i	$-0.988798\pi$
$97$	−1.14542	+	4.27476i	−0.116300	+	0.434036i	0.883081	+	0.469220i	$0.155465\pi$
$98$	4.92804	+	4.92804i	0.497807	+	0.497807i
$99$	−2.20834	+	2.03057i	−0.221947	+	0.204080i
$100$	−10.6884	+	27.4047i	−1.06884	+	2.74047i
$101$	6.12025	−	3.53353i	0.608988	−	0.351599i	−0.163582	−	0.986530i	$-0.552305\pi$
$101$	6.12025	−	3.53353i	0.608988	−	0.351599i	0.772569	+	0.634931i	$0.218971\pi$
$102$	0.328823	+	0.447649i	0.0325583	+	0.0443239i
$103$	−2.45447	−	9.16022i	−0.241846	−	0.902583i	−0.974942	−	0.222458i	$-0.928592\pi$
$103$	−2.45447	−	9.16022i	−0.241846	−	0.902583i	0.733096	−	0.680125i	$-0.238075\pi$
$104$	3.02837	−	5.24529i	0.296956	−	0.514343i
$105$	5.36221	+	6.24606i	0.523298	+	0.609553i
$106$	−16.8803	−	29.2376i	−1.63956	−	2.83980i
$107$	−5.07614	+	5.07614i	−0.490729	+	0.490729i	−0.908536	−	0.417807i	$-0.862799\pi$
$107$	−5.07614	+	5.07614i	−0.490729	+	0.490729i	0.417807	+	0.908536i	$0.362799\pi$
$108$	−5.88636	+	29.9972i	−0.566416	+	2.88648i
$109$		−	3.02186i		−	0.289442i	−0.989473	−	0.144721i	$-0.953772\pi$
$109$		−	3.02186i		−	0.289442i	0.989473	−	0.144721i	$-0.0462284\pi$
$110$	−5.65932	−	2.71798i	−0.539595	−	0.259149i
$111$	−8.24211	+	10.2876i	−0.782306	+	0.976453i
$112$	38.6889	−	10.3667i	3.65576	−	0.979557i
$113$	7.89724	−	2.11606i	0.742910	−	0.199062i	0.132539	−	0.991178i	$-0.457687\pi$
$113$	7.89724	−	2.11606i	0.742910	−	0.199062i	0.610371	+	0.792116i	$0.291020\pi$
$114$	17.1505	+	2.62461i	1.60629	+	0.245817i
$115$	13.1186	+	6.30043i	1.22332	+	0.587518i
$116$			32.6572i			3.03214i
$117$	0.772104	+	1.47699i	0.0713811	+	0.136548i
$118$	−14.7302	+	14.7302i	−1.35602	+	1.35602i
$119$	0.121384	+	0.210243i	0.0111273	+	0.0192730i
$120$	−41.4980	+	7.80055i	−3.78823	+	0.712090i
$121$	0.500000	−	0.866025i	0.0454545	−	0.0787296i
$122$	1.92281	+	7.17602i	0.174083	+	0.649686i
$123$	−3.82808	+	8.72033i	−0.345167	+	0.786285i
$124$	17.0774	−	9.85964i	1.53360	−	0.885422i
$125$	5.91809	−	9.48558i	0.529330	−	0.848416i
$126$	−5.35421	+	17.0838i	−0.476991	+	1.52195i
$127$	5.32483	+	5.32483i	0.472502	+	0.472502i	0.902724	−	0.430221i	$-0.141564\pi$
$127$	5.32483	+	5.32483i	0.472502	+	0.472502i	−0.430221	+	0.902724i	$0.641564\pi$
$128$	−19.9729	+	74.5398i	−1.76537	+	6.58845i
$129$	0.951087	−	6.21487i	0.0837385	−	0.547189i
$130$	−2.27222	+	2.64605i	−0.199287	+	0.232074i
$131$	−13.9054	−	8.02830i	−1.21492	−	0.701436i	−0.251095	−	0.967962i	$-0.580791\pi$
$131$	−13.9054	−	8.02830i	−1.21492	−	0.701436i	−0.963828	+	0.266526i	$0.914124\pi$
$132$	−1.11804	−	10.1282i	−0.0973132	−	0.881550i
$133$	7.32489	+	1.96270i	0.635149	+	0.170188i
$134$	−8.83199			−0.762967
$135$	4.30653	−	10.7914i	0.370647	−	0.928774i
$136$	−1.24524			−0.106778
$137$	18.7061	+	5.01229i	1.59817	+	0.428229i	0.944490	−	0.328539i	$-0.106556\pi$
$137$	18.7061	+	5.01229i	1.59817	+	0.428229i	0.653683	+	0.756769i	$0.273223\pi$
$138$	3.47275	+	31.4593i	0.295620	+	2.67800i
$139$	9.84870	+	5.68615i	0.835356	+	0.482293i	0.855683	−	0.517501i	$-0.173137\pi$
$139$	9.84870	+	5.68615i	0.835356	+	0.482293i	−0.0203272	+	0.999793i	$0.506471\pi$
$140$	−27.8805	+	2.11915i	−2.35633	+	0.179100i
$141$	−0.175640	+	1.14772i	−0.0147916	+	0.0966555i
$142$	−2.02186	+	7.54567i	−0.169670	+	0.633219i
$143$	−0.392827	−	0.392827i	−0.0328498	−	0.0328498i
$144$	−38.2648	−	41.6147i	−3.18873	−	3.46789i
$145$	2.29467	−	12.1986i	0.190562	−	1.01304i
$146$	32.9037	−	18.9970i	2.72313	−	1.57220i
$147$	1.72816	−	3.93673i	0.142536	−	0.324696i
$148$	−11.5884	−	43.2484i	−0.952558	−	3.55499i
$149$	4.51462	−	7.81956i	0.369852	−	0.640603i	−0.619690	−	0.784847i	$-0.712742\pi$
$149$	4.51462	−	7.81956i	0.369852	−	0.640603i	0.989542	+	0.144244i	$0.0460749\pi$
$150$	24.3152	+	0.00318766i	1.98533	+	0.000260271i
$151$	−2.33956	−	4.05224i	−0.190391	−	0.329766i	0.754989	−	0.655737i	$-0.227642\pi$
$151$	−2.33956	−	4.05224i	−0.190391	−	0.329766i	−0.945380	+	0.325971i	$0.894309\pi$
$152$	−27.5044	+	27.5044i	−2.23090	+	2.23090i
$153$	0.183608	−	0.289304i	0.0148438	−	0.0233889i
$154$		−	5.96774i		−	0.480894i
$155$	−7.07178	+	2.48296i	−0.568019	+	0.199436i
$156$	−5.59569	−	0.856331i	−0.448014	−	0.0685614i
$157$	−10.8067	+	2.89565i	−0.862469	+	0.231098i	−0.662828	−	0.748771i	$-0.730644\pi$
$157$	−10.8067	+	2.89565i	−0.862469	+	0.231098i	−0.199640	+	0.979869i	$0.563977\pi$
$158$	−1.79037	+	0.479729i	−0.142434	+	0.0381652i
$159$	−13.0220	+	16.2537i	−1.03271	+	1.28901i
$160$	30.1103	−	62.6950i	2.38043	−	4.95648i
$161$			13.8335i			1.09024i
$162$	24.8700	−	4.47356i	1.95397	−	0.351476i
$163$	12.7460	−	12.7460i	0.998341	−	0.998341i	−0.00165739	−	0.999999i	$-0.500528\pi$
$163$	12.7460	−	12.7460i	0.998341	−	0.998341i	0.999999	+	0.00165739i	$0.000527562\pi$
$164$	−16.1738	−	28.0139i	−1.26296	−	2.18752i
$165$	−0.294038	+	3.86181i	−0.0228909	+	0.300641i
$166$	11.9882	−	20.7641i	0.930462	−	1.61161i
$167$	−5.07944	−	18.9567i	−0.393059	−	1.46691i	−0.825062	−	0.565043i	$-0.808860\pi$
$167$	−5.07944	−	18.9567i	−0.393059	−	1.46691i	0.432003	−	0.901872i	$-0.357807\pi$
$168$	−23.7612	−	32.3478i	−1.83322	−	2.49569i
$169$	10.9911	−	6.34569i	0.845466	−	0.488130i
$170$	0.704711	+	0.132563i	0.0540489	+	0.0101671i
$171$	−2.33459	−	10.4456i	−0.178531	−	0.798792i
$172$	15.1004	+	15.1004i	1.15139	+	1.15139i
$173$	−5.40760	+	20.1814i	−0.411132	+	1.53437i	0.381327	+	0.924440i	$0.375467\pi$
$173$	−5.40760	+	20.1814i	−0.411132	+	1.53437i	−0.792459	+	0.609925i	$0.791200\pi$
$174$	25.1511	−	9.80566i	1.90670	−	0.743365i
$175$	10.5632	+	1.16746i	0.798503	+	0.0882517i
$176$	16.3197	+	9.42216i	1.23014	+	0.710222i
$177$	11.7671	+	5.16556i	0.884468	+	0.388267i
$178$	−24.1892	−	6.48148i	−1.81306	−	0.485807i
$179$	−26.0298			−1.94556			−0.972779	−	0.231734i	$-0.925560\pi$
$179$	−26.0298			−1.94556			−0.972779	+	0.231734i	$0.925560\pi$
$180$	20.8811	+	33.4880i	1.55639	+	2.49605i
$181$	3.04954			0.226671			0.113335	−	0.993557i	$-0.463847\pi$
$181$	3.04954			0.226671			0.113335	+	0.993557i	$0.463847\pi$
$182$	−3.20236	−	0.858069i	−0.237375	−	0.0636043i
$183$	3.69363	−	2.71317i	0.273041	−	0.200563i
$184$	−61.4503	−	35.4783i	−4.53018	−	2.61550i
$185$	1.28978	+	16.9690i	0.0948269	+	1.24759i
$186$	−12.7211	−	10.1918i	−0.932758	−	0.747299i
$187$	−0.0295614	+	0.110325i	−0.00216175	+	0.00806775i
$188$	−2.78863	−	2.78863i	−0.203382	−	0.203382i
$189$	11.0189	−	0.750787i	0.801507	−	0.0546117i
$190$	18.4935	−	12.6374i	1.34166	−	0.916816i
$191$	0.690320	−	0.398557i	0.0499498	−	0.0288385i	−0.474817	−	0.880084i	$-0.657486\pi$
$191$	0.690320	−	0.398557i	0.0499498	−	0.0288385i	0.524767	+	0.851246i	$0.324152\pi$
$192$	85.4624	−	9.43408i	6.16772	−	0.680846i
$193$	1.60735	+	5.99870i	0.115699	+	0.431796i	0.999338	−	0.0363733i	$-0.0115805\pi$
$193$	1.60735	+	5.99870i	0.115699	+	0.431796i	−0.883639	+	0.468169i	$0.844914\pi$
$194$	−6.21277	+	10.7608i	−0.446051	+	0.772583i
$195$	2.03001	+	0.713053i	0.145372	+	0.0510628i
$196$	7.30155	+	12.6467i	0.521539	+	0.903333i
$197$	9.59428	−	9.59428i	0.683564	−	0.683564i	−0.277237	−	0.960802i	$-0.589419\pi$
$197$	9.59428	−	9.59428i	0.683564	−	0.683564i	0.960802	+	0.277237i	$0.0894188\pi$
$198$	−7.46462	+	3.90218i	−0.530488	+	0.277316i
$199$		−	6.86426i		−	0.486595i	−0.969952	−	0.243297i	$-0.921771\pi$
$199$		−	6.86426i		−	0.486595i	0.969952	−	0.243297i	$-0.0782291\pi$
$200$	−32.2770	+	43.9289i	−2.28233	+	3.10624i
$201$	1.97909	+	5.07628i	0.139594	+	0.358053i
$202$	19.1659	−	5.13549i	1.34851	−	0.361332i
$203$	11.3968	−	3.05375i	0.799895	−	0.214331i
$204$	0.422753	+	1.08435i	0.0295987	+	0.0759194i
$205$	4.07307	+	11.6006i	0.284475	+	0.810221i
$206$		−	26.6262i		−	1.85514i
$207$	17.3034	−	9.04546i	1.20267	−	0.628703i
$208$	7.40256	−	7.40256i	0.513275	−	0.513275i
$209$	1.78388	+	3.08977i	0.123393	+	0.213724i
$210$	10.0035	+	20.8360i	0.690305	+	1.43782i
$211$	4.75762	−	8.24045i	0.327528	−	0.567296i	−0.654492	−	0.756069i	$-0.727118\pi$
$211$	4.75762	−	8.24045i	0.327528	−	0.567296i	0.982021	+	0.188773i	$0.0604510\pi$
$212$	−18.3089	−	68.3298i	−1.25746	−	4.69291i
$213$	4.79002	−	0.528764i	0.328207	−	0.0362303i
$214$	−17.4553	+	10.0778i	−1.19322	+	0.688905i
$215$	−4.57946	−	6.70153i	−0.312317	−	0.457041i
$216$	−24.9247	+	50.8728i	−1.69591	+	3.46146i
$217$	−5.03773	−	5.03773i	−0.341983	−	0.341983i
$218$	2.19593	−	8.19532i	0.148727	−	0.555057i
$219$	−18.2918	−	14.6549i	−1.23605	−	0.990286i
$220$	−9.98018	−	8.57020i	−0.672864	−	0.577803i
$221$	0.0549511	+	0.0317260i	0.00369641	+	0.00213412i
$222$	−29.8285	+	21.9106i	−2.00195	+	1.47054i
$223$	12.8837	+	3.45219i	0.862759	+	0.231176i	0.662954	−	0.748660i	$-0.269302\pi$
$223$	12.8837	+	3.45219i	0.862759	+	0.231176i	0.199805	+	0.979836i	$0.435969\pi$
$224$	66.1117			4.41728
$225$	−5.44677	−	13.9761i	−0.363118	−	0.931743i
$226$	22.9551			1.52695
$227$	−26.4794	−	7.09515i	−1.75750	−	0.470921i	−0.771301	−	0.636471i	$-0.780394\pi$
$227$	−26.4794	−	7.09515i	−1.75750	−	0.470921i	−0.986201	+	0.165549i	$0.947060\pi$
$228$	33.2884	+	14.6131i	2.20458	+	0.967774i
$229$	2.58154	+	1.49045i	0.170593	+	0.0984918i	0.582865	−	0.812569i	$-0.301932\pi$
$229$	2.58154	+	1.49045i	0.170593	+	0.0984918i	−0.412273	+	0.911061i	$0.635265\pi$
$230$	30.9994	+	26.6199i	2.04404	+	1.75526i
$231$	−3.43002	+	1.33726i	−0.225679	+	0.0879853i
$232$	−15.6637	+	58.4576i	−1.02837	+	3.83793i
$233$	5.22719	+	5.22719i	0.342445	+	0.342445i	0.857286	−	0.514841i	$-0.172149\pi$
$233$	5.22719	+	5.22719i	0.342445	+	0.342445i	−0.514841	+	0.857286i	$0.672149\pi$
$234$	1.02066	+	4.56668i	0.0667224	+	0.298533i
$235$	0.845705	+	1.23759i	0.0551677	+	0.0807317i
$236$	−37.8015	+	21.8247i	−2.46067	+	1.42067i
$237$	0.676919	+	0.921537i	0.0439706	+	0.0598603i
$238$	0.176415	+	0.658389i	0.0114353	+	0.0426771i
$239$	−7.54288	+	13.0646i	−0.487908	+	0.845082i	−0.999903	−	0.0139066i	$-0.995573\pi$
$239$	−7.54288	+	13.0646i	−0.487908	+	0.845082i	0.511995	+	0.858988i	$0.328907\pi$
$240$	−72.7731	−	5.54095i	−4.69748	−	0.357667i
$241$	1.74343	+	3.01971i	0.112304	+	0.194517i	0.916699	−	0.399579i	$-0.130844\pi$
$241$	1.74343	+	3.01971i	0.112304	+	0.194517i	−0.804395	+	0.594095i	$0.797510\pi$
$242$	1.98533	−	1.98533i	0.127622	−	0.127622i
$243$	−8.14413	−	13.2918i	−0.522446	−	0.852672i
$244$			15.5667i			0.996555i
$245$	−1.83876	−	5.23701i	−0.117474	−	0.334580i
$246$	−16.7187	+	20.8678i	−1.06595	+	1.33048i
$247$	1.91450	−	0.512989i	0.121817	−	0.0326407i
$248$	35.2983	−	9.45814i	2.24144	−	0.600593i
$249$	−14.6207	−	2.23747i	−0.926551	−	0.141794i
$250$	22.9429	−	21.4244i	1.45104	−	1.35500i
$251$			3.75680i			0.237127i	0.992946	+	0.118564i	$0.0378289\pi$
$251$			3.75680i			0.237127i	−0.992946	+	0.118564i	$0.962171\pi$
$252$	−20.1015	+	31.6732i	−1.26627	+	1.99522i
$253$	−4.60210	+	4.60210i	−0.289332	+	0.289332i
$254$	10.5715	+	18.3105i	0.663318	+	1.14890i
$255$	−0.0817208	−	0.434745i	−0.00511756	−	0.0272248i
$256$	−58.6918	+	101.657i	−3.66824	+	6.35358i
$257$	2.96918	+	11.0811i	0.185212	+	0.691222i	0.994585	+	0.103926i	$0.0331406\pi$
$257$	2.96918	+	11.0811i	0.185212	+	0.691222i	−0.809373	+	0.587295i	$0.800193\pi$
$258$	7.09559	−	16.1637i	0.441752	−	1.00631i
$259$	−14.0093	+	8.08825i	−0.870493	+	0.502579i
$260$	−6.03386	+	4.12322i	−0.374204	+	0.255711i
$261$	−11.2718	−	12.2586i	−0.697708	−	0.758789i
$262$	−31.8777	−	31.8777i	−1.96941	−	1.96941i
$263$	4.40202	−	16.4285i	0.271440	−	1.01303i	−0.686750	−	0.726894i	$-0.740963\pi$
$263$	4.40202	−	16.4285i	0.271440	−	1.01303i	0.958190	−	0.286134i	$-0.0923701\pi$
$264$	2.85656	−	18.6662i	0.175809	−	1.14883i
$265$	2.03778	+	26.8100i	0.125180	+	1.64693i
$266$	18.4389	+	10.6457i	1.13056	+	0.652731i
$267$	1.69506	+	15.3554i	0.103736	+	0.939735i
$268$	−17.8755	−	4.78973i	−1.09192	−	0.292579i
$269$	−1.77315			−0.108111			−0.0540555	−	0.998538i	$-0.517215\pi$
$269$	−1.77315			−0.108111			−0.0540555	+	0.998538i	$0.517215\pi$
$270$	19.5212	−	26.1369i	1.18802	−	1.59064i
$271$	1.05079			0.0638312			0.0319156	−	0.999491i	$-0.489839\pi$
$271$	1.05079			0.0638312			0.0319156	+	0.999491i	$0.489839\pi$
$272$	−2.07900	−	0.557065i	−0.126058	−	0.0337770i
$273$	0.224405	+	2.03287i	0.0135816	+	0.123035i
$274$	47.0889	+	27.1868i	2.84474	+	1.64241i
$275$	3.12575	+	3.90252i	0.188490	+	0.235331i
$276$	−10.0322	+	65.5554i	−0.603868	+	3.94597i
$277$	−1.18570	+	4.42510i	−0.0712419	+	0.265878i	−0.992355	−	0.123417i	$-0.960615\pi$
$277$	−1.18570	+	4.42510i	−0.0712419	+	0.265878i	0.921113	+	0.389295i	$0.127281\pi$
$278$	22.5778	+	22.5778i	1.35412	+	1.35412i
$279$	−3.00727	+	9.59540i	−0.180041	+	0.574462i
$280$	−50.9235	−	9.57921i	−3.04326	−	0.572467i
$281$	−7.32430	+	4.22869i	−0.436931	+	0.252262i	−0.702295	−	0.711886i	$-0.747841\pi$
$281$	−7.32430	+	4.22869i	−0.436931	+	0.252262i	0.265364	+	0.964148i	$0.414508\pi$
$282$	−1.31037	+	2.98500i	−0.0780311	+	0.177754i
$283$	1.43691	+	5.36261i	0.0854152	+	0.318774i	0.995393	−	0.0958841i	$-0.0305678\pi$
$283$	1.43691	+	5.36261i	0.0854152	+	0.318774i	−0.909977	+	0.414658i	$0.863901\pi$
$284$	−8.18428	+	14.1756i	−0.485647	+	0.841166i
$285$	−11.4076	−	7.79750i	−0.675725	−	0.461884i
$286$	−0.779891	−	1.35081i	−0.0461159	−	0.0798751i
$287$	−8.26392	+	8.26392i	−0.487804	+	0.487804i
$288$	−43.2291	−	82.6945i	−2.54730	−	4.87282i
$289$			16.9870i			0.999233i
$290$	15.0877	−	31.4152i	0.885977	−	1.84476i
$291$	7.57708	+	1.15955i	0.444176	+	0.0679740i
$292$	76.8978	−	20.6047i	4.50010	−	1.20580i
$293$	8.57503	−	2.29767i	0.500958	−	0.134231i	0.000513604	−	1.00000i	$-0.499837\pi$
$293$	8.57503	−	2.29767i	0.500958	−	0.134231i	0.500445	+	0.865768i	$0.333170\pi$
$294$	7.54753	−	9.42062i	0.440181	−	0.549422i
$295$	15.6537	−	5.49614i	0.911393	−	0.319997i
$296$		−	82.9745i		−	4.82279i
$297$	3.91550	+	3.41597i	0.227201	+	0.198214i
$298$	17.9260	−	17.9260i	1.03843	−	1.03843i
$299$	1.80783	+	3.13125i	0.104550	+	0.181085i
$300$	49.2111	+	13.1930i	2.84120	+	0.761697i
$301$	3.85772	−	6.68177i	0.222355	−	0.385131i
$302$	−3.40023	−	12.6898i	−0.195661	−	0.730217i
$303$	−7.24642	−	9.86505i	−0.416296	−	0.566732i
$304$	−58.2246	+	33.6160i	−3.33941	+	1.92801i
$305$	1.09380	−	5.81469i	0.0626308	−	0.332948i
$306$	0.708179	−	0.651172i	0.0404839	−	0.0372250i
$307$	−14.6972	−	14.6972i	−0.838815	−	0.838815i	0.149888	−	0.988703i	$-0.452109\pi$
$307$	−14.6972	−	14.6972i	−0.838815	−	0.838815i	−0.988703	+	0.149888i	$0.952109\pi$
$308$	3.23640	−	12.0784i	0.184411	−	0.688231i
$309$	−15.3037	+	5.96645i	−0.870598	+	0.339420i
$310$	−20.9831	+	1.59489i	−1.19176	+	0.0905835i
$311$	10.6998	+	6.17751i	0.606728	+	0.350295i	0.771684	−	0.636006i	$-0.219415\pi$
$311$	10.6998	+	6.17751i	0.606728	+	0.350295i	−0.164956	+	0.986301i	$0.552748\pi$
$312$	−9.60577	−	4.21678i	−0.543820	−	0.238728i
$313$	11.9375	+	3.19864i	0.674747	+	0.180798i	0.579892	−	0.814693i	$-0.303095\pi$
$313$	11.9375	+	3.19864i	0.674747	+	0.180798i	0.0948547	+	0.995491i	$0.469761\pi$
$314$	−31.4121			−1.77269
$315$	9.73412	−	10.4186i	0.548456	−	0.587020i
$316$	−3.88379			−0.218480
$317$	22.2221	+	5.95440i	1.24812	+	0.334433i	0.821610	−	0.570050i	$-0.193076\pi$
$317$	22.2221	+	5.95440i	1.24812	+	0.334433i	0.426510	+	0.904483i	$0.359743\pi$
$318$	−47.1272	+	34.6175i	−2.64276	+	1.94125i
$319$	4.80735	+	2.77553i	0.269160	+	0.155400i
$320$	72.3155	−	84.2130i	4.04256	−	4.70765i
$321$	9.70374	+	7.77436i	0.541610	+	0.433922i
$322$	−10.0526	+	37.5167i	−0.560208	+	2.09072i
$323$	−0.288144	−	0.288144i	−0.0160328	−	0.0160328i
$324$	52.7617	+	4.43312i	2.93120	+	0.246285i
$325$	2.54357	−	1.11619i	0.141092	−	0.0619151i
$326$	43.8294	−	25.3049i	2.42749	−	1.40151i
$327$	−5.20241	+	0.574287i	−0.287694	+	0.0317582i
$328$	−15.5152	−	57.9035i	−0.856684	−	3.19719i
$329$	−0.712418	+	1.23394i	−0.0392769	+	0.0680295i
$330$	−3.60374	+	10.2596i	−0.198379	+	0.564771i
$331$	−3.63635	−	6.29835i	−0.199872	−	0.346188i	0.748615	−	0.663005i	$-0.230719\pi$
$331$	−3.63635	−	6.29835i	−0.199872	−	0.346188i	−0.948487	+	0.316817i	$0.897386\pi$
$332$	35.5241	−	35.5241i	1.94964	−	1.94964i
$333$	19.2774	+	12.2345i	1.05639	+	0.670444i
$334$		−	55.1019i		−	3.01504i
$335$	6.34056	+	3.04516i	0.346422	+	0.166375i
$336$	−25.1998	−	64.6364i	−1.37476	−	3.52621i
$337$	1.39259	−	0.373142i	0.0758590	−	0.0203264i	−0.220690	−	0.975344i	$-0.570831\pi$
$337$	1.39259	−	0.373142i	0.0758590	−	0.0203264i	0.296549	+	0.955018i	$0.404164\pi$
$338$	34.4191	−	9.22258i	1.87215	−	0.501642i
$339$	−5.14382	−	13.1937i	−0.279374	−	0.716583i
$340$	1.35441	+	0.650477i	0.0734531	+	0.0352771i
$341$		−	3.35187i		−	0.181514i
$342$	1.25916	−	30.0250i	0.0680873	−	1.62356i
$343$	14.2514	−	14.2514i	0.769503	−	0.769503i
$344$	19.7875	+	34.2729i	1.06687	+	1.84787i
$345$	8.35366	−	23.7823i	0.449746	−	1.28039i
$346$	−29.3309	+	50.8026i	−1.57684	+	2.73117i
$347$	0.188193	+	0.702348i	0.0101028	+	0.0377040i	0.970793	−	0.239918i	$-0.0771205\pi$
$347$	0.188193	+	0.702348i	0.0101028	+	0.0377040i	−0.960690	+	0.277622i	$0.910454\pi$
$348$	56.2224	−	6.20631i	3.01384	−	0.332693i
$349$	−10.1612	+	5.86655i	−0.543915	+	0.314029i	−0.746664	−	0.665201i	$-0.768346\pi$
$349$	−10.1612	+	5.86655i	−0.543915	+	0.314029i	0.202749	+	0.979231i	$0.435012\pi$
$350$	27.7992	+	10.8422i	1.48593	+	0.579542i
$351$	2.39604	−	1.60994i	0.127891	−	0.0859324i
$352$	21.9939	+	21.9939i	1.17228	+	1.17228i
$353$	−6.87420	+	25.6548i	−0.365877	+	1.36547i	0.500352	+	0.865822i	$0.333204\pi$
$353$	−6.87420	+	25.6548i	−0.365877	+	1.36547i	−0.866229	+	0.499648i	$0.833463\pi$
$354$	28.1587	+	22.5600i	1.49662	+	1.19905i
$355$	4.05316	−	4.71999i	0.215119	−	0.250511i
$356$	−45.4428	−	26.2364i	−2.40846	−	1.39053i
$357$	0.338885	−	0.248929i	0.0179357	−	0.0131747i
$358$	−70.5931	−	18.9154i	−3.73096	−	0.999708i
$359$	−17.4023			−0.918459			−0.459229	−	0.888318i	$-0.651874\pi$
$359$	−17.4023			−0.918459			−0.459229	+	0.888318i	$0.651874\pi$
$360$	21.3158	+	69.9603i	1.12344	+	3.68723i
$361$	6.27111			0.330058
$362$	8.27039	+	2.21604i	0.434682	+	0.116473i
$363$	−1.58597	−	0.696213i	−0.0832416	−	0.0365417i
$364$	−6.01607	−	3.47338i	−0.315328	−	0.182055i
$365$	−30.1718	+	2.29330i	−1.57926	+	0.120037i
$366$	11.9888	−	4.67406i	0.626663	−	0.244317i
$367$	−6.87061	+	25.6415i	−0.358643	+	1.33847i	0.517194	+	0.855868i	$0.326976\pi$
$367$	−6.87061	+	25.6415i	−0.358643	+	1.33847i	−0.875837	+	0.482606i	$0.839690\pi$
$368$	−86.7235	−	86.7235i	−4.52077	−	4.52077i
$369$	15.7404	+	4.93315i	0.819411	+	0.256810i
$370$	−8.83314	+	46.9574i	−0.459213	+	2.44120i
$371$	−22.1338	+	12.7789i	−1.14913	+	0.663450i
$372$	−20.2198	−	27.5266i	−1.04835	−	1.42719i
$373$	3.99702	+	14.9171i	0.206958	+	0.772378i	0.988844	+	0.148956i	$0.0475914\pi$
$373$	3.99702	+	14.9171i	0.206958	+	0.772378i	−0.781886	+	0.623422i	$0.785742\pi$
$374$	−0.160342	+	0.277720i	−0.00829108	+	0.0143606i
$375$	−17.4550	−	8.38587i	−0.901373	−	0.433044i
$376$	−3.65422	−	6.32929i	−0.188452	−	0.326408i
$377$	2.18060	−	2.18060i	0.112307	−	0.112307i
$378$	30.4290	+	5.97108i	1.56510	+	0.307119i
$379$			19.0590i			0.978997i	0.872004	+	0.489498i	$0.162820\pi$
$379$			19.0590i			0.978997i	−0.872004	+	0.489498i	$0.837180\pi$
$380$	44.2833	−	15.5482i	2.27169	−	0.797608i
$381$	8.15524	−	10.1791i	0.417806	−	0.521494i
$382$	2.16178	−	0.579247i	0.110606	−	0.0296369i
$383$	−11.6899	+	3.13229i	−0.597324	+	0.160052i	−0.544798	−	0.838567i	$-0.683394\pi$
$383$	−11.6899	+	3.13229i	−0.597324	+	0.160052i	−0.0525254	+	0.998620i	$0.516727\pi$
$384$	132.123	+	20.2193i	6.74237	+	1.03181i
$385$	−2.05760	+	4.28429i	−0.104865	+	0.218348i
$386$			17.4366i			0.887497i
$387$	−10.8802	−	0.456284i	−0.553073	−	0.0231942i
$388$	−18.4101	+	18.4101i	−0.934632	+	0.934632i
$389$	3.86626	+	6.69655i	0.196027	+	0.339529i	0.947237	−	0.320535i	$-0.103863\pi$
$389$	3.86626	+	6.69655i	0.196027	+	0.339529i	−0.751210	+	0.660064i	$0.770529\pi$
$390$	4.98725	+	3.40898i	0.252539	+	0.172620i
$391$	0.371681	−	0.643771i	0.0187967	−	0.0325569i
$392$	7.00422	+	26.1401i	0.353767	+	1.32028i
$393$	−11.1788	+	25.4652i	−0.563897	+	1.28455i
$394$	32.9918	−	19.0478i	1.66210	−	0.959615i
$395$	1.45073	+	0.272896i	0.0729940	+	0.0137309i
$396$	−17.2242	+	3.84963i	−0.865551	+	0.193451i
$397$	−25.2179	−	25.2179i	−1.26565	−	1.26565i	−0.948313	−	0.317336i	$-0.897212\pi$
$397$	−25.2179	−	25.2179i	−1.26565	−	1.26565i	−0.317336	−	0.948313i	$-0.602788\pi$
$398$	4.98813	−	18.6160i	0.250032	−	0.933133i
$399$	1.98691	−	12.9835i	0.0994702	−	0.649987i
$400$	−73.5404	+	58.9026i	−3.67702	+	2.94513i
$401$	−11.4632	−	6.61831i	−0.572447	−	0.330503i	0.185679	−	0.982610i	$-0.440552\pi$
$401$	−11.4632	−	6.61831i	−0.572447	−	0.330503i	−0.758126	+	0.652108i	$0.773885\pi$
$402$	1.67847	+	15.2051i	0.0837144	+	0.758361i
$403$	−1.79865	−	0.481948i	−0.0895973	−	0.0240075i
$404$	41.5759			2.06848
$405$	−19.3968	−	5.36325i	−0.963834	−	0.266502i
$406$	33.1272			1.64408
$407$	−7.35133	−	1.96978i	−0.364392	−	0.0976385i
$408$	0.236650	+	2.14379i	0.0117159	+	0.106133i
$409$	−9.95287	−	5.74629i	−0.492138	−	0.284136i	0.233323	−	0.972399i	$-0.425040\pi$
$409$	−9.95287	−	5.74629i	−0.492138	−	0.284136i	−0.725461	+	0.688263i	$0.758373\pi$
$410$	2.61626	+	34.4208i	0.129208	+	1.69992i
$411$	5.07414	−	33.1569i	0.250289	−	1.63551i
$412$	14.4398	−	53.8902i	0.711399	−	2.65498i
$413$	11.1512	+	11.1512i	0.548715	+	0.548715i
$414$	53.5002	−	11.9573i	2.62939	−	0.587671i
$415$	−15.7656	+	10.7734i	−0.773903	+	0.528844i
$416$	14.9645	−	8.63978i	0.733697	−	0.423600i
$417$	7.91755	−	18.0361i	0.387724	−	0.883230i
$418$	2.59262	+	9.67579i	0.126809	+	0.473259i
$419$	−10.5058	+	18.1966i	−0.513241	+	0.888960i	0.486641	+	0.873602i	$0.338222\pi$
$419$	−10.5058	+	18.1966i	−0.513241	+	0.888960i	−0.999882	+	0.0153579i	$0.995111\pi$
$420$	8.94683	+	47.5961i	0.436561	+	2.32245i
$421$	−11.7626	−	20.3734i	−0.573272	−	0.992936i	−0.996227	−	0.0867857i	$-0.972340\pi$
$421$	−11.7626	−	20.3734i	−0.573272	−	0.992936i	0.422955	−	0.906151i	$-0.360993\pi$
$422$	18.8909	−	18.8909i	0.919595	−	0.919595i
$423$	2.00929	+	0.0842634i	0.0976949	+	0.00409703i
$424$		−	131.095i		−	6.36652i
$425$	−0.460212	−	0.338143i	−0.0223236	−	0.0164024i
$426$	13.3748	+	2.04680i	0.648012	+	0.0991679i
$427$	5.43248	−	1.45563i	0.262896	−	0.0704428i
$428$	−40.7940	+	10.9307i	−1.97185	+	0.528356i
$429$	−0.601634	+	0.750943i	−0.0290472	+	0.0362559i
$430$	−7.54968	−	21.5024i	−0.364078	−	1.03694i
$431$			11.1281i			0.536021i	0.963416	+	0.268010i	$0.0863661\pi$
$431$			11.1281i			0.536021i	−0.963416	+	0.268010i	$0.913634\pi$
$432$	−64.3716	+	73.7850i	−3.09708	+	3.54998i
$433$	15.4434	−	15.4434i	0.742162	−	0.742162i	−0.230831	−	0.972994i	$-0.574145\pi$
$433$	15.4434	−	15.4434i	0.742162	−	0.742162i	0.972994	+	0.230831i	$0.0741446\pi$
$434$	−10.0015	−	17.3232i	−0.480090	−	0.831540i
$435$	−21.4371	−	1.63222i	−1.02783	−	0.0782591i
$436$	8.88890	−	15.3960i	0.425701	−	0.737336i
$437$	−6.00984	−	22.4290i	−0.287490	−	1.07293i
$438$	−38.9582	−	53.0365i	−1.86150	−	2.53418i
$439$	−24.9715	+	14.4173i	−1.19182	+	0.688099i	−0.958720	−	0.284353i	$-0.908221\pi$
$439$	−24.9715	+	14.4173i	−1.19182	+	0.688099i	−0.233103	+	0.972452i	$0.574888\pi$
$440$	−13.7543	−	20.1279i	−0.655710	−	0.959558i
$441$	−7.10587	−	2.22704i	−0.338375	−	0.106049i
$442$	0.125973	+	0.125973i	0.00599194	+	0.00599194i
$443$	8.44245	−	31.5076i	0.401113	−	1.49697i	−0.410001	−	0.912085i	$-0.634472\pi$
$443$	8.44245	−	31.5076i	0.401113	−	1.49697i	0.811114	−	0.584888i	$-0.198862\pi$
$444$	−72.2538	+	28.1696i	−3.42901	+	1.33687i
$445$	15.1309	+	12.9932i	0.717274	+	0.615939i
$446$	32.4322	+	18.7247i	1.53571	+	0.886642i
$447$	−14.3201	−	6.28628i	−0.677317	−	0.297331i
$448$	101.918	+	27.3088i	4.81517	+	1.29022i
$449$	9.47226			0.447024			0.223512	−	0.974701i	$-0.428248\pi$
$449$	9.47226			0.447024			0.223512	+	0.974701i	$0.428248\pi$
$450$	−4.61548	−	41.8615i	−0.217576	−	1.97337i
$451$	−5.49843			−0.258911
$452$	46.4600	+	12.4489i	2.18529	+	0.585548i
$453$	−6.53168	+	4.79788i	−0.306885	+	0.225424i
$454$	−66.6566	−	38.4842i	−3.12835	−	1.80615i
$455$	2.00315	+	1.72015i	0.0939091	+	0.0806418i
$456$	52.5785	+	42.1244i	2.46221	+	1.97265i
$457$	4.64054	−	17.3187i	0.217076	−	0.810137i	−0.768350	−	0.640030i	$-0.778922\pi$
$457$	4.64054	−	17.3187i	0.217076	−	0.810137i	0.985426	−	0.170107i	$-0.0544113\pi$
$458$	5.91807	+	5.91807i	0.276533	+	0.276533i
$459$	−0.532958	−	0.261118i	−0.0248764	−	0.0121879i
$460$	48.3049	+	70.6888i	2.25223	+	3.29588i
$461$	−16.0491	+	9.26597i	−0.747483	+	0.431559i	−0.824784	−	0.565448i	$-0.808703\pi$
$461$	−16.0491	+	9.26597i	−0.747483	+	0.431559i	0.0773010	+	0.997008i	$0.475370\pi$
$462$	−10.2740	+	1.13413i	−0.477991	+	0.0527647i
$463$	3.75279	+	14.0056i	0.174407	+	0.650896i	0.996652	+	0.0817619i	$0.0260547\pi$
$463$	3.75279	+	14.0056i	0.174407	+	0.650896i	−0.822245	+	0.569134i	$0.807279\pi$
$464$	−52.3029	+	90.5913i	−2.42810	+	4.20559i
$465$	5.61860	+	11.7029i	0.260556	+	0.542707i
$466$	10.3777	+	17.9747i	0.480738	+	0.832662i
$467$	7.58447	−	7.58447i	0.350967	−	0.350967i	−0.509502	−	0.860469i	$-0.670170\pi$
$467$	7.58447	−	7.58447i	0.350967	−	0.350967i	0.860469	+	0.509502i	$0.170170\pi$
$468$	−0.410825	+	9.79625i	−0.0189904	+	0.452832i
$469$			6.68610i			0.308735i
$470$	1.39422	+	3.97092i	0.0643108	+	0.183165i
$471$	7.03888	+	18.0544i	0.324334	+	0.831905i
$472$	−78.1342	+	20.9360i	−3.59642	+	0.963657i
$473$	3.50624	−	0.939495i	0.161217	−	0.0431980i
$474$	1.16615	+	2.99112i	0.0535629	+	0.137387i
$475$	−17.6339	+	2.69621i	−0.809097	+	0.123711i
$476$			1.42822i			0.0654624i
$477$	30.4571	+	19.3297i	1.39453	+	0.885047i
$478$	−29.9502	+	29.9502i	−1.36989	+	1.36989i
$479$	−3.08235	−	5.33878i	−0.140836	−	0.243935i	0.786976	−	0.616984i	$-0.211646\pi$
$479$	−3.08235	−	5.33878i	−0.140836	−	0.243935i	−0.927812	+	0.373049i	$0.878312\pi$
$480$	−113.658	−	39.9229i	−5.18774	−	1.82222i
$481$	−2.11402	+	3.66159i	−0.0963909	+	0.166954i
$482$	2.53384	+	9.45640i	0.115413	+	0.430727i
$483$	23.8157	−	2.62899i	1.08365	−	0.119623i
$484$	5.09488	−	2.94153i	0.231586	−	0.133706i
$485$	8.17040	−	5.58321i	0.370999	−	0.253521i
$486$	−12.4280	−	41.9658i	−0.563747	−	1.90361i
$487$	3.37316	+	3.37316i	0.152852	+	0.152852i	0.779391	−	0.626538i	$-0.215529\pi$
$487$	3.37316	+	3.37316i	0.152852	+	0.152852i	−0.626538	+	0.779391i	$0.715529\pi$
$488$	−7.46639	+	27.8650i	−0.337988	+	1.26139i
$489$	−24.3657	−	19.5211i	−1.10185	−	0.882773i
$490$	−1.18109	−	15.5390i	−0.0533563	−	0.701981i
$491$	−2.89739	−	1.67281i	−0.130757	−	0.0754927i	0.433195	−	0.901300i	$-0.357386\pi$
$491$	−2.89739	−	1.67281i	−0.130757	−	0.0754927i	−0.563952	+	0.825808i	$0.690720\pi$
$492$	−45.1548	+	33.1686i	−2.03573	+	1.49536i
$493$	−0.612419	−	0.164097i	−0.0275819	−	0.00739056i
$494$	5.56492			0.250378
$495$	6.70434	−	0.227700i	0.301338	−	0.0102343i
$496$	63.1637			2.83614
$497$	5.71232	+	1.53061i	0.256233	+	0.0686573i
$498$	−38.0256	−	16.6926i	−1.70397	−	0.748015i
$499$	−13.2691	−	7.66094i	−0.594008	−	0.342951i	0.172673	−	0.984979i	$-0.444760\pi$
$499$	−13.2691	−	7.66094i	−0.594008	−	0.342951i	−0.766681	+	0.642029i	$0.778093\pi$
$500$	58.0541	−	30.9197i	2.59626	−	1.38277i
$501$	−31.6704	+	12.3473i	−1.41493	+	0.551638i
$502$	−2.72999	+	10.1885i	−0.121846	+	0.454734i
$503$	−3.81671	−	3.81671i	−0.170179	−	0.170179i	0.616879	−	0.787058i	$-0.288397\pi$
$503$	−3.81671	−	3.81671i	−0.170179	−	0.170179i	−0.787058	+	0.616879i	$0.788397\pi$
$504$	−51.1741	+	47.0547i	−2.27948	+	2.09598i
$505$	−15.5300	−	2.92135i	−0.691078	−	0.129998i
$506$	−15.8252	+	9.13669i	−0.703516	+	0.406175i
$507$	−13.0135	−	17.7162i	−0.577949	−	0.786802i
$508$	11.4662	+	42.7926i	0.508732	+	1.89861i
$509$	21.7686	−	37.7044i	0.964878	−	1.67122i	0.254934	−	0.966958i	$-0.417946\pi$
$509$	21.7686	−	37.7044i	0.964878	−	1.67122i	0.709943	−	0.704259i	$-0.248720\pi$
$510$	0.0942933	−	1.23842i	0.00417538	−	0.0548381i
$511$	−14.3813	−	24.9092i	−0.636192	−	1.10192i
$512$	−123.911	+	123.911i	−5.47616	+	5.47616i
$513$	−17.5393	+	6.00433i	−0.774380	+	0.265098i
$514$			32.2098i			1.42071i
$515$	−9.18038	+	19.1152i	−0.404536	+	0.842316i
$516$	23.1269	−	28.8664i	1.01811	−	1.27077i
$517$	−0.647510	+	0.173500i	−0.0284774	+	0.00763051i
$518$	−43.8708	+	11.7552i	−1.92757	+	0.516492i
$519$	35.7719	+	5.47432i	1.57021	+	0.240296i
$520$	−12.7785	+	4.48664i	−0.560375	+	0.196752i
$521$			9.75132i			0.427213i	0.976920	+	0.213606i	$0.0685210\pi$
$521$			9.75132i			0.427213i	−0.976920	+	0.213606i	$0.931479\pi$
$522$	−21.6612	−	41.4365i	−0.948084	−	1.81363i
$523$	−23.2784	+	23.2784i	−1.01789	+	1.01789i	−0.0180550	+	0.999837i	$0.505747\pi$
$523$	−23.2784	+	23.2784i	−1.01789	+	1.01789i	−0.999837	+	0.0180550i	$0.994253\pi$
$524$	−47.2310	−	81.8066i	−2.06330	−	3.57374i
$525$	0.00241316	−	18.4074i	0.000105319	−	0.803365i
$526$	23.8766	−	41.3555i	1.04107	−	1.80319i
$527$	0.0990862	+	0.369795i	0.00431626	+	0.0161085i
$528$	13.1197	−	29.8864i	0.570960	−	1.30064i
$529$	16.7651	−	9.67934i	0.728918	−	0.420841i
$530$	−13.9558	+	74.1899i	−0.606203	+	3.22260i
$531$	6.65672	−	21.2398i	0.288877	−	0.921729i
$532$	31.5461	+	31.5461i	1.36770	+	1.36770i
$533$	−0.790591	+	2.95052i	−0.0342443	+	0.127801i
$534$	−6.56145	+	42.8758i	−0.283942	+	1.85542i
$535$	16.0060	−	1.21659i	0.692000	−	0.0525977i
$536$	−29.7005	−	17.1476i	−1.28287	−	0.740663i
$537$	4.94682	+	44.8127i	0.213471	+	1.93381i
$538$	−4.80881	−	1.28852i	−0.207322	−	0.0555519i
$539$	2.48223			0.106917
$540$	53.6844	−	42.3130i	2.31021	−	1.82086i
$541$	−26.9269			−1.15768			−0.578839	−	0.815442i	$-0.696494\pi$
$541$	−26.9269			−1.15768			−0.578839	+	0.815442i	$0.696494\pi$
$542$	2.84976	+	0.763592i	0.122408	+	0.0327991i
$543$	−0.579548	−	5.25007i	−0.0248708	−	0.225302i
$544$	−3.07664	−	1.77630i	−0.131910	−	0.0761581i
$545$	−4.40212	+	5.12636i	−0.188566	+	0.219589i
$546$	−0.868656	+	5.67623i	−0.0371751	+	0.242920i
$547$	−10.6619	+	39.7909i	−0.455871	+	1.70134i	0.229642	+	0.973275i	$0.426245\pi$
$547$	−10.6619	+	39.7909i	−0.455871	+	1.70134i	−0.685513	+	0.728060i	$0.740422\pi$
$548$	80.5618	+	80.5618i	3.44143	+	3.44143i
$549$	−5.37293	−	5.84330i	−0.229311	−	0.249386i
$550$	5.64117	+	12.8551i	0.240541	+	0.548144i
$551$	−17.1515	+	9.90240i	−0.730677	+	0.421856i
$552$	−49.4010	+	112.535i	−2.10265	+	4.78980i
$553$	0.363170	+	1.35537i	0.0154436	+	0.0576362i
$554$	−6.43127	+	11.1393i	−0.273238	+	0.473263i
$555$	28.9686	−	5.44535i	1.22965	−	0.231142i
$556$	33.4520	+	57.9405i	1.41868	+	2.45723i
$557$	26.5804	−	26.5804i	1.12625	−	1.12625i	0.135464	−	0.990782i	$-0.456748\pi$
$557$	26.5804	−	26.5804i	1.12625	−	1.12625i	0.990782	−	0.135464i	$-0.0432525\pi$
$558$	−15.1286	+	23.8375i	−0.640443	+	1.00912i
$559$		−	2.01658i		−	0.0852921i
$560$	−80.7345	−	38.7741i	−3.41166	−	1.63850i
$561$	0.195552	+	0.0299262i	0.00825623	+	0.00126348i
$562$	−22.9365	+	6.14582i	−0.967518	+	0.259246i
$563$	21.2737	−	5.70028i	0.896581	−	0.240238i	0.219033	−	0.975717i	$-0.429710\pi$
$563$	21.2737	−	5.70028i	0.896581	−	0.240238i	0.677547	+	0.735479i	$0.263043\pi$
$564$	−4.27092	+	5.33085i	−0.179838	+	0.224469i
$565$	−16.4797	−	7.91462i	−0.693304	−	0.332971i
$566$			15.5876i			0.655197i
$567$	−3.38663	−	18.8274i	−0.142225	−	0.790676i
$568$	−21.4493	+	21.4493i	−0.899994	+	0.899994i
$569$	5.35522	+	9.27551i	0.224503	+	0.388850i	0.956170	−	0.292812i	$-0.0945910\pi$
$569$	5.35522	+	9.27551i	0.224503	+	0.388850i	−0.731668	+	0.681662i	$0.761258\pi$
$570$	−25.2711	−	29.4366i	−1.05849	−	1.23296i
$571$	13.0305	−	22.5696i	0.545311	−	0.944506i	−0.453276	−	0.891370i	$-0.649745\pi$
$571$	13.0305	−	22.5696i	0.545311	−	0.944506i	0.998587	−	0.0531363i	$-0.0169218\pi$
$572$	−0.845895	−	3.15692i	−0.0353686	−	0.131998i
$573$	−0.817344	−	1.11271i	−0.0341450	−	0.0464840i
$574$	−28.4171	+	16.4066i	−1.18611	+	0.684799i
$575$	−13.0766	−	29.7988i	−0.545330	−	1.24270i
$576$	−32.4833	−	145.339i	−1.35347	−	6.05577i
$577$	15.9774	+	15.9774i	0.665148	+	0.665148i	0.956589	−	0.291441i	$-0.0941347\pi$
$577$	15.9774	+	15.9774i	0.665148	+	0.665148i	−0.291441	+	0.956589i	$0.594135\pi$
$578$	−12.3441	+	46.0688i	−0.513447	+	1.91621i
$579$	10.0218	−	3.90721i	0.416494	−	0.162378i
$580$	47.5736	−	55.4005i	1.97539	−	2.30038i
$581$	−15.7191	−	9.07543i	−0.652138	−	0.376512i
$582$	19.7065	+	8.65083i	0.816860	+	0.358588i
$583$	−11.6147	−	3.11214i	−0.481030	−	0.128892i
$584$	147.533			6.10495
$585$	0.841795	−	3.63037i	0.0348039	−	0.150097i
$586$	24.9252			1.02965
$587$	−13.8487	−	3.71075i	−0.571597	−	0.153159i	−0.0385681	−	0.999256i	$-0.512280\pi$
$587$	−13.8487	−	3.71075i	−0.571597	−	0.153159i	−0.533029	+	0.846097i	$0.678946\pi$
$588$	20.3848	−	14.9737i	0.840654	−	0.617506i
$589$	10.3565	+	5.97933i	0.426732	+	0.246374i
$590$	46.4469	−	3.53035i	1.91219	−	0.145342i
$591$	−18.3408	−	14.6941i	−0.754439	−	0.604435i
$592$	37.1192	−	138.531i	1.52559	−	5.69358i
$593$	16.1513	+	16.1513i	0.663253	+	0.663253i	0.956145	−	0.292892i	$-0.0946177\pi$
$593$	16.1513	+	16.1513i	0.663253	+	0.663253i	−0.292892	+	0.956145i	$0.594618\pi$
$594$	8.13657	+	12.1095i	0.333848	+	0.496857i
$595$	0.100355	−	0.533489i	0.00411414	−	0.0218709i
$596$	46.0030	−	26.5598i	1.88436	−	1.08793i
$597$	−11.8175	+	1.30451i	−0.483657	+	0.0533902i
$598$	2.62743	+	9.80571i	0.107444	+	0.400985i
$599$	3.59104	−	6.21987i	0.146726	−	0.254137i	−0.783290	−	0.621657i	$-0.786460\pi$
$599$	3.59104	−	6.21987i	0.146726	−	0.254137i	0.930016	+	0.367520i	$0.119793\pi$
$600$	81.7618	+	47.2195i	3.33791	+	1.92773i
$601$	5.31814	+	9.21129i	0.216931	+	0.375736i	0.953868	−	0.300225i	$-0.0970619\pi$
$601$	5.31814	+	9.21129i	0.216931	+	0.375736i	−0.736937	+	0.675962i	$0.763729\pi$
$602$	15.3177	−	15.3177i	0.624302	−	0.624302i
$603$	8.36317	−	4.37190i	0.340575	−	0.178038i
$604$		−	27.5276i		−	1.12008i
$605$	−2.10980	+	0.740769i	−0.0857756	+	0.0301165i
$606$	−12.4836	−	32.0200i	−0.507112	−	1.30072i
$607$	−3.70708	+	0.993310i	−0.150466	+	0.0403172i	−0.333266	−	0.942833i	$-0.608151\pi$
$607$	−3.70708	+	0.993310i	−0.150466	+	0.0403172i	0.182800	+	0.983150i	$0.441484\pi$
$608$	−107.190	+	28.7215i	−4.34714	+	1.16481i
$609$	−7.42321	−	19.0402i	−0.300803	−	0.771549i
$610$	7.19182	−	14.9746i	0.291188	−	0.606306i
$611$			0.372408i			0.0150660i
$612$	1.78646	−	0.933883i	0.0722134	−	0.0377500i
$613$	−3.49906	+	3.49906i	−0.141326	+	0.141326i	−0.774230	−	0.632904i	$-0.781863\pi$
$613$	−3.49906	+	3.49906i	−0.141326	+	0.141326i	0.632904	+	0.774230i	$0.281863\pi$
$614$	−29.1788	−	50.5392i	−1.17756	−	2.03960i
$615$	19.1975	−	9.21680i	0.774116	−	0.371657i
$616$	11.5866	−	20.0685i	0.466836	−	0.808583i
$617$	0.545798	+	2.03695i	0.0219730	+	0.0820044i	0.976042	−	0.217584i	$-0.0698175\pi$
$617$	0.545798	+	2.03695i	0.0219730	+	0.0820044i	−0.954069	+	0.299588i	$0.903151\pi$
$618$	−45.8395	+	5.06016i	−1.84394	+	0.203550i
$619$	−29.4067	+	16.9780i	−1.18195	+	0.682402i	−0.956466	−	0.291844i	$-0.905731\pi$
$619$	−29.4067	+	16.9780i	−1.18195	+	0.682402i	−0.225489	+	0.974246i	$0.572398\pi$
$620$	−43.3336	−	8.15148i	−1.74032	−	0.327371i
$621$	−18.8610	−	28.0704i	−0.756867	−	1.12643i
$622$	24.5288	+	24.5288i	0.983515	+	0.983515i
$623$	−4.90669	+	18.3120i	−0.196582	+	0.733656i
$624$	−14.1510	−	11.3374i	−0.566494	−	0.453858i
$625$	−23.8578	+	7.47035i	−0.954311	+	0.298814i
$626$	30.0502	+	17.3495i	1.20105	+	0.693425i
$627$	4.98031	−	3.65831i	0.198894	−	0.146099i
$628$	−63.5765	−	17.0353i	−2.53698	−	0.679782i
$629$	0.869264			0.0346598
$630$	33.9700	−	21.1817i	1.35340	−	0.843898i
$631$	33.8531			1.34767			0.673835	−	0.738882i	$-0.264646\pi$
$631$	33.8531			1.34767			0.673835	+	0.738882i	$0.264646\pi$
$632$	−6.95213	−	1.86282i	−0.276541	−	0.0740989i
$633$	−15.0909	−	6.62464i	−0.599808	−	0.263306i
$634$	55.9397	+	32.2968i	2.22165	+	1.28267i
$635$	−1.27619	−	16.7902i	−0.0506441	−	0.666297i
$636$	−114.157	+	44.5062i	−4.52661	+	1.76479i
$637$	0.356906	−	1.33199i	0.0141411	−	0.0527755i
$638$	11.0207	+	11.0207i	0.436312	+	0.436312i
$639$	−1.82063	−	8.14597i	−0.0720231	−	0.322250i
$640$	142.469	−	97.3555i	5.63158	−	3.84832i
$641$	−3.64980	+	2.10721i	−0.144158	+	0.0832299i	−0.570344	−	0.821406i	$-0.693190\pi$
$641$	−3.64980	+	2.10721i	−0.144158	+	0.0832299i	0.426186	+	0.904636i	$0.359857\pi$
$642$	20.6672	+	28.1357i	0.815668	+	1.11043i
$643$	−4.35858	−	16.2665i	−0.171886	−	0.641486i	−0.997061	−	0.0766097i	$-0.975590\pi$
$643$	−4.35858	−	16.2665i	−0.171886	−	0.641486i	0.825175	−	0.564877i	$-0.191076\pi$
$644$	−40.6918	+	70.4803i	−1.60348	+	2.77731i
$645$	−10.6670	+	9.15756i	−0.420013	+	0.360579i
$646$	−0.572061	−	0.990838i	−0.0225074	−	0.0389840i
$647$	0.00588650	−	0.00588650i	0.000231422	−	0.000231422i	−0.706991	−	0.707222i	$-0.749948\pi$
$647$	0.00588650	−	0.00588650i	0.000231422	−	0.000231422i	0.707222	+	0.706991i	$0.249948\pi$
$648$	92.3191	+	33.2420i	3.62664	+	1.30587i
$649$			7.41951i			0.291241i
$650$	7.70932	−	1.17875i	0.302384	−	0.0462345i
$651$	−7.71552	+	9.63031i	−0.302395	+	0.377442i
$652$	102.432	−	27.4465i	4.01154	−	1.07489i
$653$	36.1036	−	9.67392i	1.41284	−	0.378570i	0.529903	−	0.848058i	$-0.322228\pi$
$653$	36.1036	−	9.67392i	1.41284	−	0.378570i	0.882939	+	0.469489i	$0.155562\pi$
$654$	−14.5263	−	2.22302i	−0.568024	−	0.0869270i
$655$	11.8942	+	33.8763i	0.464746	+	1.32365i
$656$		−	103.614i		−	4.04546i
$657$	−21.7535	+	34.2762i	−0.848685	+	1.33724i
$658$	−2.82877	+	2.82877i	−0.110277	+	0.110277i
$659$	18.5306	+	32.0959i	0.721849	+	1.25028i	0.960258	+	0.279114i	$0.0900407\pi$
$659$	18.5306	+	32.0959i	0.721849	+	1.25028i	−0.238409	+	0.971165i	$0.576626\pi$
$660$	−12.8577	+	18.8105i	−0.500486	+	0.732199i
$661$	2.82071	−	4.88562i	0.109713	−	0.190029i	−0.805941	−	0.591996i	$-0.798340\pi$
$661$	2.82071	−	4.88562i	0.109713	−	0.190029i	0.915654	+	0.401967i	$0.131673\pi$
$662$	−5.28494	−	19.7236i	−0.205405	−	0.766581i
$663$	0.0441762	−	0.100633i	0.00171566	−	0.00390825i
$664$	80.6284	−	46.5508i	3.12899	−	1.80652i
$665$	−9.56696	−	14.0002i	−0.370991	−	0.542903i
$666$	43.3899	+	47.1885i	1.68132	+	1.82852i
$667$	−25.5465	−	25.5465i	−0.989165	−	0.989165i
$668$	29.8827	−	111.524i	1.15619	−	4.31498i
$669$	3.49478	−	22.8366i	0.135116	−	0.882915i
$670$	14.9828	+	12.8661i	0.578836	+	0.497059i
$671$	2.29152	+	1.32301i	0.0884630	+	0.0510741i
$672$	−12.5642	−	113.818i	−0.484673	−	4.39061i
$673$	−42.5333	−	11.3968i	−1.63954	−	0.439313i	−0.682881	−	0.730530i	$-0.739273\pi$
$673$	−42.5333	−	11.3968i	−1.63954	−	0.439313i	−0.956657	+	0.291217i	$0.905940\pi$
$674$	4.04786			0.155918
$675$	−23.0261	+	12.0332i	−0.886276	+	0.463158i
$676$	74.6642			2.87170
$677$	−23.7855	−	6.37332i	−0.914153	−	0.244946i	−0.229068	−	0.973410i	$-0.573568\pi$
$677$	−23.7855	−	6.37332i	−0.914153	−	0.244946i	−0.685084	+	0.728464i	$0.740235\pi$
$678$	−4.36248	−	39.5193i	−0.167540	−	1.51773i
$679$	8.14630	+	4.70327i	0.312626	+	0.180495i
$680$	2.11245	+	1.81401i	0.0810087	+	0.0695640i
$681$	−7.18269	+	46.9352i	−0.275241	+	1.79856i
$682$	2.43574	−	9.09031i	0.0932694	−	0.348086i
$683$	−12.2009	−	12.2009i	−0.466855	−	0.466855i	0.434039	−	0.900894i	$-0.357088\pi$
$683$	−12.2009	−	12.2009i	−0.466855	−	0.466855i	−0.900894	+	0.434039i	$0.857088\pi$
$684$	18.8315	−	60.0862i	0.720040	−	2.29745i
$685$	−24.4319	−	35.7533i	−0.933494	−	1.36606i
$686$	49.0062	−	28.2937i	1.87106	−	1.08026i
$687$	2.07534	−	4.72761i	0.0791793	−	0.180370i
$688$	17.7042	+	66.0728i	0.674964	+	2.51900i
$689$	−3.34002	+	5.78509i	−0.127245	+	0.220394i
$690$	39.9373	−	58.4273i	1.52039	−	2.22429i
$691$	11.3065	+	19.5834i	0.430119	+	0.744989i	0.996883	−	0.0788916i	$-0.0251381\pi$
$691$	11.3065	+	19.5834i	0.430119	+	0.744989i	−0.566764	+	0.823880i	$0.691805\pi$
$692$	−86.9154	+	86.9154i	−3.30403	+	3.30403i
$693$	2.95408	+	5.65096i	0.112216	+	0.214662i
$694$			2.04153i			0.0774954i
$695$	−8.42424	−	23.9933i	−0.319550	−	0.910117i
$696$	103.617	+	15.8569i	3.92759	+	0.601056i
$697$	0.606614	−	0.162542i	0.0229771	−	0.00615670i
$698$	−31.8203	+	8.52622i	−1.20442	+	0.322722i
$699$	8.00570	−	9.99250i	0.302803	−	0.377951i
$700$	50.3842	+	37.0201i	1.90434	+	1.39923i
$701$			30.4639i			1.15061i	0.817941	+	0.575303i	$0.195116\pi$
$701$			30.4639i			1.15061i	−0.817941	+	0.575303i	$0.804884\pi$
$702$	7.66799	−	2.62503i	0.289410	−	0.0990752i
$703$	19.2001	−	19.2001i	0.724144	−	0.724144i
$704$	24.8207	+	42.9908i	0.935466	+	1.62028i
$705$	1.96991	−	1.69116i	0.0741911	−	0.0636927i
$706$	−37.2858	+	64.5809i	−1.40327	+	2.43053i
$707$	−3.88774	−	14.5092i	−0.146213	−	0.545676i
$708$	44.7572	+	60.9312i	1.68208	+	2.28993i
$709$	10.9005	−	6.29339i	0.409376	−	0.236353i	−0.281146	−	0.959665i	$-0.590714\pi$
$709$	10.9005	−	6.29339i	0.409376	−	0.236353i	0.690521	+	0.723312i	$0.257381\pi$
$710$	14.4221	−	9.85531i	0.541253	−	0.369863i
$711$	1.45787	−	1.34051i	0.0546743	−	0.0502731i
$712$	−68.7603	−	68.7603i	−2.57690	−	2.57690i
$713$	−5.64618	+	21.0718i	−0.211451	+	0.789147i
$714$	1.09995	−	0.428838i	0.0411647	−	0.0160489i
$715$	0.0941480	+	1.23866i	0.00352094	+	0.0463231i
$716$	−132.619	−	76.5675i	−4.95620	−	2.86146i
$717$	23.9255	+	10.5029i	0.893514	+	0.392238i
$718$	−47.1952	−	12.6459i	−1.76131	−	0.471942i
$719$	14.3970			0.536916			0.268458	−	0.963291i	$-0.413486\pi$
$719$	14.3970			0.536916			0.268458	+	0.963291i	$0.413486\pi$
$720$	4.29085	+	126.339i	0.159910	+	4.70837i
$721$	−20.1569			−0.750683
$722$	17.0073	+	4.55710i	0.632947	+	0.169598i
$723$	4.86738	−	3.57536i	0.181020	−	0.132969i
$724$	15.5371	+	8.97033i	0.577431	+	0.333380i
$725$	−21.6631	+	17.3512i	−0.804548	+	0.644407i
$726$	−3.79523	−	3.04063i	−0.140854	−	0.112848i
$727$	4.12784	−	15.4053i	0.153093	−	0.571351i	−0.846168	−	0.532916i	$-0.821096\pi$
$727$	4.12784	−	15.4053i	0.153093	−	0.571351i	0.999261	−	0.0384350i	$-0.0122373\pi$
$728$	−9.10302	−	9.10302i	−0.337381	−	0.337381i
$729$	−21.3354	+	16.5469i	−0.790200	+	0.612849i
$730$	−83.4926	−	15.7058i	−3.09020	−	0.581297i
$731$	−0.359053	+	0.207299i	−0.0132801	+	0.00766724i
$732$	26.7995	−	2.95836i	0.990538	−	0.109344i
$733$	−5.39779	−	20.1448i	−0.199372	−	0.744066i	−0.991092	−	0.133181i	$-0.957481\pi$
$733$	−5.39779	−	20.1448i	−0.199372	−	0.744066i	0.791720	−	0.610884i	$-0.209186\pi$
$734$	−37.2663	+	64.5472i	−1.37553	+	2.38248i
$735$	−8.66655	+	4.16085i	−0.319670	+	0.153475i
$736$	−101.218	−	175.315i	−3.73094	−	6.46218i
$737$	−2.22431	+	2.22431i	−0.0819336	+	0.0819336i
$738$	39.1032	+	24.8170i	1.43941	+	0.913526i
$739$			24.2178i			0.890867i	0.895315	+	0.445434i	$0.146950\pi$
$739$			24.2178i			0.890867i	−0.895315	+	0.445434i	$0.853050\pi$
$740$	−43.3436	+	90.2490i	−1.59334	+	3.31762i
$741$	−1.24700	−	3.19850i	−0.0458096	−	0.117500i
$742$	−69.3133	+	18.5724i	−2.54457	+	0.681816i
$743$	27.5847	−	7.39131i	1.01199	−	0.271161i	0.285527	−	0.958371i	$-0.407831\pi$
$743$	27.5847	−	7.39131i	1.01199	−	0.271161i	0.726459	+	0.687210i	$0.241165\pi$
$744$	−22.9913	−	58.9718i	−0.842902	−	2.16201i
$745$	−19.0499	+	6.68859i	−0.697935	+	0.245051i
$746$			43.3599i			1.58752i
$747$	−1.07342	+	25.5962i	−0.0392746	+	0.936514i
$748$	−0.475136	+	0.475136i	−0.0173727	+	0.0173727i
$749$	7.62923	+	13.2142i	0.278766	+	0.482837i
$750$	−41.2443	−	35.4268i	−1.50603	−	1.29360i
$751$	8.29381	−	14.3653i	0.302646	−	0.524198i	−0.674089	−	0.738650i	$-0.735463\pi$
$751$	8.29381	−	14.3653i	0.302646	−	0.524198i	0.976734	+	0.214453i	$0.0687968\pi$
$752$	−3.26948	−	12.2019i	−0.119226	−	0.444957i
$753$	6.46768	−	0.713958i	0.235695	−	0.0260181i
$754$	7.49842	−	4.32922i	0.273076	−	0.157661i
$755$	−1.93424	+	10.2825i	−0.0703941	+	0.374218i
$756$	58.3485	+	28.5873i	2.12211	+	1.03971i
$757$	10.4322	+	10.4322i	0.379164	+	0.379164i	0.870800	−	0.491637i	$-0.163601\pi$
$757$	10.4322	+	10.4322i	0.379164	+	0.379164i	−0.491637	+	0.870800i	$0.663601\pi$
$758$	−13.8498	+	51.6883i	−0.503049	+	1.87740i
$759$	8.79755	+	7.04834i	0.319331	+	0.255839i
$760$	86.7264	−	6.59193i	3.14590	−	0.239114i
$761$	20.5249	+	11.8500i	0.744026	+	0.429563i	0.823531	−	0.567271i	$-0.192001\pi$
$761$	20.5249	+	11.8500i	0.744026	+	0.429563i	−0.0795056	+	0.996834i	$0.525334\pi$
$762$	29.5141	−	21.6797i	1.06918	−	0.785373i
$763$	−6.20412	−	1.66239i	−0.224604	−	0.0601825i
$764$	4.68947			0.169659
$765$	−0.732924	+	0.223311i	−0.0264989	+	0.00807382i
$766$	−33.9792			−1.22772
$767$	3.98139	+	1.06681i	0.143760	+	0.0385203i
$768$	186.166	+	81.7241i	6.71770	+	2.94896i
$769$	35.1252	+	20.2796i	1.26665	+	0.731299i	0.974352	−	0.225029i	$-0.0722476\pi$
$769$	35.1252	+	20.2796i	1.26665	+	0.731299i	0.292295	+	0.956328i	$0.405581\pi$
$770$	−8.69355	+	10.1238i	−0.313294	+	0.364837i
$771$	18.5129	−	7.21762i	0.666727	−	0.259936i
$772$	−9.45612	+	35.2907i	−0.340333	+	1.27014i
$773$	19.0456	+	19.0456i	0.685021	+	0.685021i	0.961127	−	0.276106i	$-0.0890441\pi$
$773$	19.0456	+	19.0456i	0.685021	+	0.685021i	−0.276106	+	0.961127i	$0.589044\pi$
$774$	−29.1757	−	9.14390i	−1.04870	−	0.328671i
$775$	15.6138	+	6.08971i	0.560865	+	0.218749i
$776$	−41.7850	+	24.1246i	−1.49999	+	0.866022i
$777$	16.5871	+	22.5811i	0.595057	+	0.810093i
$778$	5.61907	+	20.9707i	0.201453	+	0.751835i
$779$	9.80854	−	16.9889i	0.351427	−	0.608690i
$780$	8.24521	+	9.60427i	0.295226	+	0.343888i
$781$	1.39116	+	2.40956i	0.0497796	+	0.0862207i
$782$	1.47582	−	1.47582i	0.0527752	−	0.0527752i
$783$	−18.9622	+	21.7352i	−0.677654	+	0.776752i
$784$			46.7759i			1.67057i
$785$	22.5510	+	10.8305i	0.804880	+	0.386557i
$786$	−48.8222	+	60.9385i	−1.74143	+	2.17361i
$787$	−39.9534	+	10.7055i	−1.42418	+	0.381609i	−0.886966	−	0.461834i	$-0.847191\pi$
$787$	−39.9534	+	10.7055i	−1.42418	+	0.381609i	−0.537218	+	0.843443i	$0.680525\pi$
$788$	77.1036	−	20.6599i	2.74670	−	0.735977i
$789$	−29.1199	−	4.45633i	−1.03669	−	0.158649i
$790$	3.73608	+	1.79431i	0.132924	+	0.0638388i
$791$		−	17.3778i		−	0.617882i
$792$	−32.6785	−	1.37044i	−1.16118	−	0.0486963i
$793$	1.03943	−	1.03943i	0.0369111	−	0.0369111i
$794$	−50.0658	−	86.7165i	−1.77677	−	3.07745i
$795$	45.7687	−	8.60332i	1.62325	−	0.305128i
$796$	20.1915	−	34.9726i	0.715667	−	1.23957i
$797$	−2.44222	−	9.11450i	−0.0865080	−	0.322852i	0.909087	−	0.416605i	$-0.136780\pi$
$797$	−2.44222	−	9.11450i	−0.0865080	−	0.322852i	−0.995595	+	0.0937530i	$0.970114\pi$
$798$	14.8234	−	33.7675i	0.524742	−	1.19536i
$799$	0.0663075	−	0.0382826i	0.00234579	−	0.00135434i
$800$	−142.411	+	62.4940i	−5.03500	+	2.20950i
$801$	26.1136	−	5.83641i	0.922679	−	0.206219i
$802$	−26.2790	−	26.2790i	−0.927945	−	0.927945i
$803$	3.50238	−	13.0710i	0.123596	−	0.461267i
$804$	−4.84882	+	31.6846i	−0.171005	+	1.11743i
$805$	20.1521	−	23.4676i	0.710269	−	0.827123i
$806$	−4.52775	−	2.61409i	−0.159483	−	0.0920776i
$807$	0.336978	+	3.05265i	0.0118622	+	0.107458i
$808$	74.4225	+	19.9415i	2.61818	+	0.701538i
$809$	48.5872			1.70823			0.854117	−	0.520081i	$-0.174098\pi$
$809$	48.5872			1.70823			0.854117	+	0.520081i	$0.174098\pi$
$810$	−48.7069	−	28.6405i	−1.71139	−	1.00632i
$811$	−35.9885			−1.26373			−0.631864	−	0.775079i	$-0.717710\pi$
$811$	−35.9885			−1.26373			−0.631864	+	0.775079i	$0.717710\pi$
$812$	67.0478	+	17.9654i	2.35292	+	0.630463i
$813$	−0.199697	−	1.80904i	−0.00700369	−	0.0634458i
$814$	−18.5055	−	10.6841i	−0.648617	−	0.374479i
$815$	−40.1904	+	3.05480i	−1.40781	+	0.107005i
$816$	−0.563938	+	3.68505i	−0.0197418	+	0.129003i
$817$	−3.35189	+	12.5094i	−0.117268	+	0.437650i
$818$	−22.8166	−	22.8166i	−0.797763	−	0.797763i
$819$	3.45712	−	0.772670i	0.120802	−	0.0269993i
$820$	−13.3717	+	71.0848i	−0.466962	+	2.48239i
$821$	22.2250	−	12.8316i	0.775657	−	0.447826i	−0.0592316	−	0.998244i	$-0.518865\pi$
$821$	22.2250	−	12.8316i	0.775657	−	0.447826i	0.834889	+	0.550418i	$0.185532\pi$
$822$	37.8556	−	86.2346i	1.32037	−	3.00778i
$823$	−10.3442	−	38.6050i	−0.360575	−	1.34569i	−0.873321	−	0.487145i	$-0.838038\pi$
$823$	−10.3442	−	38.6050i	−0.360575	−	1.34569i	0.512745	−	0.858541i	$-0.328628\pi$
$824$	51.6957	−	89.5395i	1.80090	−	3.11926i
$825$	6.12453	−	6.12292i	0.213229	−	0.213173i
$826$	22.1388	+	38.3456i	0.770309	+	1.33421i
$827$	13.1665	−	13.1665i	0.457844	−	0.457844i	−0.440103	−	0.897947i	$-0.645058\pi$
$827$	13.1665	−	13.1665i	0.457844	−	0.457844i	0.897947	+	0.440103i	$0.145058\pi$
$828$	114.766	+	4.81295i	3.98841	+	0.167262i
$829$		−	3.15435i		−	0.109555i	−0.998499	−	0.0547776i	$-0.982555\pi$
$829$		−	3.15435i		−	0.109555i	0.998499	−	0.0547776i	$-0.0174450\pi$
$830$	−50.5853	+	17.7609i	−1.75584	+	0.616490i
$831$	7.84355	+	1.20033i	0.272090	+	0.0416390i
$832$	26.6382	−	7.13768i	0.923513	−	0.247455i
$833$	−0.273851	+	0.0733782i	−0.00948838	+	0.00254240i
$834$	34.5789	−	43.1605i	1.19737	−	1.49453i
$835$	−18.9984	+	39.5582i	−0.657468	+	1.36897i
$836$			20.9893i			0.725932i
$837$	17.0909	+	3.35375i	0.590748	+	0.115923i
$838$	−41.7149	+	41.7149i	−1.44102	+	1.44102i
$839$	0.696540	+	1.20644i	0.0240472	+	0.0416510i	0.877799	−	0.479030i	$-0.159011\pi$
$839$	0.696540	+	1.20644i	0.0240472	+	0.0416510i	−0.853751	+	0.520681i	$0.825678\pi$
$840$	−6.81378	+	89.4900i	−0.235098	+	3.08770i
$841$	−0.907086	+	1.57112i	−0.0312788	+	0.0541765i
$842$	−17.0953	−	63.8004i	−0.589141	−	2.19871i
$843$	8.67202	+	11.8058i	0.298680	+	0.406615i
$844$	48.4791	−	27.9894i	1.66872	−	0.963435i
$845$	−27.8896	−	5.24631i	−0.959432	−	0.180479i
$846$	5.38798	+	1.68863i	0.185242	+	0.0580564i
$847$	−1.50296	−	1.50296i	−0.0516423	−	0.0516423i
$848$	58.6462	−	218.870i	2.01392	−	7.51604i
$849$	8.95915	−	3.49290i	0.307477	−	0.119876i
$850$	−1.00238	−	1.25148i	−0.0343812	−	0.0429253i
$851$	42.8967	+	24.7664i	1.47048	+	0.848982i
$852$	25.9600	+	11.3960i	0.889374	+	0.390421i
$853$	−31.0691	−	8.32494i	−1.06379	−	0.285040i	−0.315848	−	0.948810i	$-0.602289\pi$
$853$	−31.0691	−	8.32494i	−1.06379	−	0.285040i	−0.747937	+	0.663769i	$0.768956\pi$
$854$	15.7907			0.540348
$855$	−11.2562	+	21.1210i	−0.384953	+	0.722324i
$856$	−78.2656			−2.67506
$857$	36.1247	+	9.67958i	1.23400	+	0.330648i	0.816134	−	0.577863i	$-0.196113\pi$
$857$	36.1247	+	9.67958i	1.23400	+	0.330648i	0.417862	+	0.908511i	$0.362780\pi$
$858$	−2.17733	+	1.59937i	−0.0743329	+	0.0546016i
$859$	33.9037	+	19.5743i	1.15678	+	0.667867i	0.950530	−	0.310632i	$-0.100541\pi$
$859$	33.9037	+	19.5743i	1.15678	+	0.667867i	0.206250	+	0.978499i	$0.433874\pi$
$860$	−3.61907	−	47.6142i	−0.123409	−	1.62363i
$861$	15.7976	+	12.6566i	0.538382	+	0.431336i
$862$	−8.08656	+	30.1795i	−0.275429	+	1.02792i
$863$	7.51549	+	7.51549i	0.255830	+	0.255830i	0.823356	−	0.567525i	$-0.192099\pi$
$863$	7.51549	+	7.51549i	0.255830	+	0.255830i	−0.567525	+	0.823356i	$0.692099\pi$
$864$	−134.151	+	90.1385i	−4.56391	+	3.06657i
$865$	38.5730	−	26.3587i	1.31152	−	0.896223i
$866$	53.1051	−	30.6602i	1.80458	−	1.04188i
$867$	29.2446	−	3.22827i	0.993200	−	0.109638i
$868$	−10.8480	−	40.4853i	−0.368205	−	1.37416i
$869$	−0.330082	+	0.571719i	−0.0111973	+	0.0193942i
$870$	−56.9515	−	20.0045i	−1.93084	−	0.678217i
$871$	0.873770	+	1.51341i	0.0296066	+	0.0512801i
$872$	23.2960	−	23.2960i	0.788902	−	0.788902i
$873$	0.556294	−	13.2650i	0.0188277	−	0.448952i
$874$		−	65.1950i		−	2.20525i
$875$	−16.2190	−	17.3685i	−0.548302	−	0.587164i
$876$	−50.0869	−	128.471i	−1.69228	−	4.34063i
$877$	−22.7802	+	6.10392i	−0.769231	+	0.206115i	−0.622032	−	0.782992i	$-0.713693\pi$
$877$	−22.7802	+	6.10392i	−0.769231	+	0.206115i	−0.147199	+	0.989107i	$0.547026\pi$
$878$	−78.1996	+	20.9535i	−2.63911	+	0.707147i
$879$	−5.58529	−	14.3260i	−0.188387	−	0.483206i
$880$	−13.9593	−	39.7578i	−0.470567	−	1.34023i
$881$			24.3949i			0.821884i	0.911661	+	0.410942i	$0.134800\pi$
$881$			24.3949i			0.821884i	−0.911661	+	0.410942i	$0.865200\pi$
$882$	−17.6528	−	11.2034i	−0.594402	−	0.377240i
$883$	−15.9665	+	15.9665i	−0.537317	+	0.537317i	−0.922740	−	0.385423i	$-0.874056\pi$
$883$	−15.9665	+	15.9665i	−0.537317	+	0.537317i	0.385423	+	0.922740i	$0.374056\pi$
$884$	0.186646	+	0.323281i	0.00627759	+	0.0108731i
$885$	−12.4370	−	25.9048i	−0.418065	−	0.870779i
$886$	45.7920	−	79.3141i	1.53841	−	2.66461i
$887$	5.66973	+	21.1597i	0.190371	+	0.710474i	0.993417	+	0.114556i	$0.0365447\pi$
$887$	5.66973	+	21.1597i	0.190371	+	0.710474i	−0.803046	+	0.595917i	$0.796789\pi$
$888$	−142.848	+	15.7688i	−4.79367	+	0.529167i
$889$	13.8616	−	8.00300i	0.464904	−	0.268412i
$890$	31.5932	+	46.2332i	1.05901	+	1.54974i
$891$	5.13678	−	7.39009i	0.172089	−	0.247577i
$892$	55.4864	+	55.4864i	1.85782	+	1.85782i
$893$	0.619005	−	2.31016i	0.0207142	−	0.0773065i
$894$	−34.2681	−	27.4546i	−1.14610	−	0.918219i
$895$	44.1576	+	37.9191i	1.47603	+	1.26750i
$896$	142.049	+	82.0118i	4.74551	+	2.73982i
$897$	5.04718	−	3.70742i	0.168520	−	0.123787i
$898$	25.6889	+	6.88331i	0.857249	+	0.229699i
$899$	18.6064			0.620559
$900$	13.3607	−	87.2287i	0.445355	−	2.90762i
$901$	1.37339			0.0457541
$902$	−14.9118	−	3.99561i	−0.496509	−	0.133039i
$903$	−12.2364	−	5.37159i	−0.407203	−	0.178755i
$904$	77.1941	+	44.5681i	2.56744	+	1.48231i
$905$	−5.17332	−	4.44244i	−0.171967	−	0.147672i
$906$	−21.2005	+	8.26544i	−0.704340	+	0.274601i
$907$	−0.283325	+	1.05738i	−0.00940765	+	0.0351098i	−0.970470	−	0.241221i	$-0.922452\pi$
$907$	−0.283325	+	1.05738i	−0.00940765	+	0.0351098i	0.961062	+	0.276331i	$0.0891187\pi$
$908$	−114.039	−	114.039i	−3.78452	−	3.78452i
$909$	−15.6065	+	14.3502i	−0.517634	+	0.475965i
$910$	4.18256	+	6.12071i	0.138651	+	0.202900i
$911$	33.6792	−	19.4447i	1.11584	−	0.644232i	0.175506	−	0.984478i	$-0.443844\pi$
$911$	33.6792	−	19.4447i	1.11584	−	0.644232i	0.940336	+	0.340247i	$0.110511\pi$
$912$	68.9383	+	93.8505i	2.28277	+	3.10770i
$913$	−2.21020	−	8.24857i	−0.0731469	−	0.272988i
$914$	25.1704	−	43.5964i	0.832563	−	1.44204i
$915$	−10.2184	−	0.778030i	−0.337810	−	0.0257209i
$916$	8.76842	+	15.1874i	0.289717	+	0.501804i
$917$	−24.1324	+	24.1324i	−0.796923	+	0.796923i
$918$	−1.25564	−	1.09544i	−0.0414423	−	0.0361551i
$919$		−	10.4156i		−	0.343580i	−0.985134	−	0.171790i	$-0.945045\pi$
$919$		−	10.4156i		−	0.343580i	0.985134	−	0.171790i	$-0.0549551\pi$
$920$	52.5625	+	149.705i	1.73293	+	4.93561i
$921$	−22.5095	+	28.0958i	−0.741714	+	0.925787i
$922$	−50.2588	+	13.4668i	−1.65519	+	0.443506i
$923$	1.49302	−	0.400055i	0.0491435	−	0.0131680i
$924$	−21.4092	−	3.27633i	−0.704310	−	0.107783i
$925$	22.5317	−	30.6656i	0.740838	−	1.00828i
$926$			40.7104i			1.33783i
$927$	13.1802	+	25.2129i	0.432894	+	0.828099i
$928$	−122.089	+	122.089i	−4.00777	+	4.00777i
$929$	30.0237	+	52.0026i	0.985045	+	1.70615i	0.641734	+	0.766927i	$0.278215\pi$
$929$	30.0237	+	52.0026i	0.985045	+	1.70615i	0.343311	+	0.939222i	$0.388452\pi$
$930$	6.73346	+	35.8212i	0.220799	+	1.17462i
$931$	−4.42799	+	7.66951i	−0.145122	+	0.251358i
$932$	11.2560	+	42.0079i	0.368702	+	1.37601i
$933$	8.60174	−	19.5947i	0.281608	−	0.641500i
$934$	26.0806	−	15.0577i	0.853384	−	0.492702i
$935$	0.210865	−	0.144094i	0.00689603	−	0.00471238i
$936$	−5.43406	+	17.3386i	−0.177618	+	0.566730i
$937$	30.1378	+	30.1378i	0.984561	+	0.984561i	0.999883	−	0.0153220i	$-0.00487733\pi$
$937$	30.1378	+	30.1378i	0.984561	+	0.984561i	−0.0153220	+	0.999883i	$0.504877\pi$
$938$	−4.85866	+	18.1328i	−0.158641	+	0.592056i
$939$	3.23811	−	21.1594i	0.105672	−	0.690510i
$940$	0.668345	+	8.79306i	0.0217990	+	0.286798i
$941$	50.7873	+	29.3221i	1.65562	+	0.955872i	0.974701	+	0.223511i	$0.0717519\pi$
$941$	50.7873	+	29.3221i	1.65562	+	0.955872i	0.680917	+	0.732361i	$0.261581\pi$
$942$	5.96969	+	54.0788i	0.194503	+	1.76198i
$943$	34.5664	+	9.26204i	1.12564	+	0.301613i
$944$	−139.816			−4.55061
$945$	−19.7865	−	14.7782i	−0.643653	−	0.480735i
$946$	10.1917			0.331360
$947$	5.77153	+	1.54648i	0.187549	+	0.0502537i	0.351371	−	0.936236i	$-0.385716\pi$
$947$	5.77153	+	1.54648i	0.187549	+	0.0502537i	−0.163822	+	0.986490i	$0.552382\pi$
$948$	0.738092	+	6.68630i	0.0239721	+	0.217161i
$949$	−6.51049	−	3.75883i	−0.211339	−	0.122017i
$950$	−49.7825	−	5.50202i	−1.61516	−	0.178509i
$951$	6.02787	−	39.3891i	0.195467	−	1.27728i
$952$	−0.685031	+	2.55657i	−0.0222020	+	0.0828589i
$953$	−29.8626	−	29.8626i	−0.967345	−	0.967345i	0.0321388	−	0.999483i	$-0.489768\pi$
$953$	−29.8626	−	29.8626i	−0.967345	−	0.967345i	−0.999483	+	0.0321388i	$0.989768\pi$
$954$	68.5534	+	74.5550i	2.21950	+	2.41381i
$955$	−1.75168	−	0.329508i	−0.0566829	−	0.0106626i
$956$	−76.8602	+	44.3752i	−2.48584	+	1.43520i
$957$	3.86472	−	8.80378i	0.124929	−	0.284586i
$958$	−4.47976	−	16.7187i	−0.144735	−	0.540157i
$959$	20.5813	−	35.6478i	0.664604	−	1.15113i
$960$	−158.724	−	108.494i	−5.12279	−	3.50162i
$961$	9.88248	+	17.1170i	0.318790	+	0.552160i
$962$	−8.39404	+	8.39404i	−0.270635	+	0.270635i
$963$	11.5401	−	18.1834i	0.371876	−	0.585951i
$964$			20.5134i			0.660693i
$965$	6.01190	−	12.5179i	0.193530	−	0.402964i
$966$	66.4989	+	10.1766i	2.13957	+	0.327427i
$967$	3.85231	−	1.03222i	0.123882	−	0.0331941i	−0.196345	−	0.980535i	$-0.562907\pi$
$967$	3.85231	−	1.03222i	0.123882	−	0.0331941i	0.320227	+	0.947341i	$0.396241\pi$
$968$	10.5309	−	2.82175i	0.338476	−	0.0906944i
$969$	−0.441307	+	0.550827i	−0.0141768	+	0.0176951i
$970$	26.2154	−	9.20445i	0.841727	−	0.295537i
$971$			22.7224i			0.729197i	0.931165	+	0.364598i	$0.118794\pi$
$971$			22.7224i			0.729197i	−0.931165	+	0.364598i	$0.881206\pi$
$972$	−2.39502	−	91.6766i	−0.0768203	−	2.94053i
$973$	17.0921	−	17.0921i	0.547948	−	0.547948i
$974$	6.69683	+	11.5992i	0.214580	+	0.371664i
$975$	−2.40502	−	4.16688i	−0.0770222	−	0.133447i
$976$	−24.9312	+	43.1821i	−0.798028	+	1.38222i
$977$	6.72944	+	25.1146i	0.215294	+	0.803488i	0.986063	+	0.166373i	$0.0532056\pi$
$977$	6.72944	+	25.1146i	0.215294	+	0.803488i	−0.770769	+	0.637115i	$0.780128\pi$
$978$	−51.8944	−	70.6474i	−1.65940	−	2.25906i
$979$	−7.72433	+	4.45965i	−0.246871	+	0.142531i
$980$	6.03657	−	32.0907i	0.192831	−	1.02510i
$981$	1.97738	+	8.84730i	0.0631328	+	0.282473i
$982$	−6.64214	−	6.64214i	−0.211959	−	0.211959i
$983$	1.38656	−	5.17473i	0.0442245	−	0.165048i	−0.940282	−	0.340397i	$-0.889439\pi$
$983$	1.38656	−	5.17473i	0.0442245	−	0.165048i	0.984506	+	0.175349i	$0.0561053\pi$
$984$	−96.7377	+	37.7151i	−3.08389	+	1.20231i
$985$	−30.2525	+	2.29944i	−0.963925	+	0.0732663i
$986$	−1.54164	−	0.890066i	−0.0490958	−	0.0283455i
$987$	2.25974	+	0.991989i	0.0719283	+	0.0315754i
$988$	11.2631	+	3.01795i	0.358328	+	0.0960137i
$989$	−23.6249			−0.751228
$990$	18.3477	+	4.25439i	0.583128	+	0.135213i
$991$	−8.92326			−0.283457			−0.141728	−	0.989906i	$-0.545266\pi$
$991$	−8.92326			−0.283457			−0.141728	+	0.989906i	$0.545266\pi$
$992$	100.704	+	26.9836i	3.19736	+	0.856730i
$993$	−10.1521	+	7.45728i	−0.322168	+	0.236650i
$994$	14.3796	+	8.30207i	0.456093	+	0.263326i
$995$	−9.99957	+	11.6447i	−0.317008	+	0.369162i
$996$	−67.9093	−	54.4070i	−2.15179	−	1.72395i
$997$	10.6601	−	39.7841i	0.337609	−	1.25997i	−0.563404	−	0.826182i	$-0.690508\pi$
$997$	10.6601	−	39.7841i	0.337609	−	1.25997i	0.901013	−	0.433792i	$-0.142825\pi$
$998$	−30.4190	−	30.4190i	−0.962895	−	0.962895i
$999$	17.3992	−	35.5129i	0.550486	−	1.12358i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	495.2.bc.c.122.29	✓	116
5.3	odd	4		495.2.bc.d.23.29	yes	116
9.2	odd	6		495.2.bc.d.452.29	yes	116
45.38	even	12	inner	495.2.bc.c.353.29	yes	116

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
495.2.bc.c.122.29	✓	116	1.1	even	1	trivial
495.2.bc.c.353.29	yes	116	45.38	even	12	inner
495.2.bc.d.23.29	yes	116	5.3	odd	4
495.2.bc.d.452.29	yes	116	9.2	odd	6

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:	\( N \)	\(=\)	\( 495 = 3^{2} \cdot 5 \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	495.bc (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(2.71201 + 0.726681i) q^{2} +(-0.190044 - 1.72159i) q^{3} +(5.09488 + 2.94153i) q^{4} +(-1.69643 - 1.45676i) q^{5} +(0.735647 - 4.80708i) q^{6} +(0.550121 - 2.05308i) q^{7} +(7.70916 + 7.70916i) q^{8} +(-2.92777 + 0.654358i) q^{9} +O(q^{10})\)	\(q+(2.71201 + 0.726681i) q^{2} +(-0.190044 - 1.72159i) q^{3} +(5.09488 + 2.94153i) q^{4} +(-1.69643 - 1.45676i) q^{5} +(0.735647 - 4.80708i) q^{6} +(0.550121 - 2.05308i) q^{7} +(7.70916 + 7.70916i) q^{8} +(-2.92777 + 0.654358i) q^{9} +(-3.54212 - 5.18350i) q^{10} +(0.866025 - 0.500000i) q^{11} +(4.09587 - 9.33034i) q^{12} +(-0.143785 - 0.536612i) q^{13} +(2.98387 - 5.16821i) q^{14} +(-2.18555 + 3.19740i) q^{15} +(9.42216 + 16.3197i) q^{16} +(-0.0807634 + 0.0807634i) q^{17} +(-8.41564 - 0.352926i) q^{18} +3.56776i q^{19} +(-4.35799 - 12.4121i) q^{20} +(-3.63912 - 0.556909i) q^{21} +(2.71201 - 0.726681i) q^{22} +(-6.28659 + 1.68449i) q^{23} +(11.8070 - 14.7371i) q^{24} +(0.755717 + 4.94256i) q^{25} -1.55978i q^{26} +(1.68294 + 4.91607i) q^{27} +(8.84201 - 8.84201i) q^{28} +(2.77553 + 4.80735i) q^{29} +(-8.25072 + 7.08319i) q^{30} +(1.67594 - 2.90281i) q^{31} +(8.05031 + 30.0442i) q^{32} +(-1.02538 - 1.39592i) q^{33} +(-0.277720 + 0.160342i) q^{34} +(-3.92408 + 2.68150i) q^{35} +(-16.8414 - 5.27824i) q^{36} +(-5.38155 - 5.38155i) q^{37} +(-2.59262 + 9.67579i) q^{38} +(-0.896502 + 0.349519i) q^{39} +(-1.84764 - 24.3084i) q^{40} +(-4.76178 - 2.74922i) q^{41} +(-9.46463 - 4.15482i) q^{42} +(3.50624 + 0.939495i) q^{43} +5.88306 q^{44} +(5.91998 + 3.15498i) q^{45} -18.2734 q^{46} +(-0.647510 - 0.173500i) q^{47} +(26.3052 - 19.3226i) q^{48} +(2.14967 + 1.24111i) q^{49} +(-1.54215 + 13.9534i) q^{50} +(0.154390 + 0.123693i) q^{51} +(0.845895 - 3.15692i) q^{52} +(-8.50253 - 8.50253i) q^{53} +(0.991749 + 14.5554i) q^{54} +(-2.19753 - 0.413376i) q^{55} +(20.0685 - 11.5866i) q^{56} +(6.14223 - 0.678032i) q^{57} +(4.03384 + 15.0545i) q^{58} +(-3.70975 + 6.42548i) q^{59} +(-20.5404 + 9.86153i) q^{60} +(1.32301 + 2.29152i) q^{61} +(6.65457 - 6.65457i) q^{62} +(-0.267177 + 6.37092i) q^{63} +49.6415i q^{64} +(-0.537793 + 1.11978i) q^{65} +(-1.76645 - 4.53088i) q^{66} +(-3.03847 + 0.814155i) q^{67} +(-0.649048 + 0.173912i) q^{68} +(4.09473 + 10.5028i) q^{69} +(-12.5907 + 4.42071i) q^{70} +2.78232i q^{71} +(-27.6152 - 17.5261i) q^{72} +(9.56867 - 9.56867i) q^{73} +(-10.6841 - 18.5055i) q^{74} +(8.36546 - 2.24034i) q^{75} +(-10.4947 + 18.1773i) q^{76} +(-0.550121 - 2.05308i) q^{77} +(-2.68531 + 0.296428i) q^{78} +(-0.571719 + 0.330082i) q^{79} +(7.78979 - 41.4109i) q^{80} +(8.14363 - 3.83161i) q^{81} +(-10.9162 - 10.9162i) q^{82} +(2.21020 - 8.24857i) q^{83} +(-16.9027 - 13.5420i) q^{84} +(0.254662 - 0.0193564i) q^{85} +(8.82626 + 5.09584i) q^{86} +(7.74883 - 5.69194i) q^{87} +(10.5309 + 2.82175i) q^{88} -8.91929 q^{89} +(13.7624 + 12.8583i) q^{90} -1.18081 q^{91} +(-36.9844 - 9.90994i) q^{92} +(-5.31595 - 2.33362i) q^{93} +(-1.62997 - 0.941066i) q^{94} +(5.19736 - 6.05243i) q^{95} +(50.1939 - 19.5691i) q^{96} +(-1.14542 + 4.27476i) q^{97} +(4.92804 + 4.92804i) q^{98} +(-2.20834 + 2.03057i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 116 q - 4 q^{2} + 8 q^{3} - 6 q^{4} + 2 q^{5} - 2 q^{6} + 8 q^{7} - 2 q^{8} - 16 q^{9}+O(q^{10}) \) 116 * q - 4 * q^2 + 8 * q^3 - 6 * q^4 + 2 * q^5 - 2 * q^6 + 8 * q^7 - 2 * q^8 - 16 * q^9	\( 116 q - 4 q^{2} + 8 q^{3} - 6 q^{4} + 2 q^{5} - 2 q^{6} + 8 q^{7} - 2 q^{8} - 16 q^{9} + 6 q^{10} + 6 q^{12} - 12 q^{13} + 10 q^{14} - 18 q^{15} + 62 q^{16} + 8 q^{17} - 12 q^{18} - 18 q^{20} - 10 q^{21} - 4 q^{22} - 40 q^{23} + 62 q^{24} - 6 q^{25} - 58 q^{27} + 18 q^{28} + 2 q^{29} - 70 q^{30} - 2 q^{31} - 66 q^{32} + 24 q^{34} - 2 q^{35} + 24 q^{36} - 14 q^{37} - 6 q^{38} - 4 q^{39} - 100 q^{40} + 6 q^{41} - 30 q^{42} - 22 q^{43} + 120 q^{44} + 94 q^{45} - 44 q^{46} + 32 q^{47} + 108 q^{48} + 18 q^{49} - 22 q^{50} - 8 q^{51} - 126 q^{52} + 44 q^{53} - 28 q^{54} + 2 q^{55} + 42 q^{56} + 20 q^{57} + 2 q^{58} - 22 q^{59} - 68 q^{60} - 10 q^{61} + 16 q^{62} - 8 q^{63} - 60 q^{65} + 6 q^{66} + 36 q^{67} - 48 q^{68} + 76 q^{69} + 154 q^{70} - 228 q^{72} + 12 q^{73} + 8 q^{74} - 72 q^{75} - 6 q^{76} - 8 q^{77} - 110 q^{78} + 6 q^{79} - 4 q^{80} + 44 q^{81} - 50 q^{82} + 30 q^{83} - 222 q^{84} - 126 q^{85} + 90 q^{86} + 112 q^{87} + 2 q^{88} - 8 q^{89} + 72 q^{90} + 72 q^{91} - 132 q^{92} + 112 q^{93} - 42 q^{94} + 78 q^{95} + 68 q^{96} - 72 q^{97} - 16 q^{98} + 4 q^{99}+O(q^{100}) \) 116 * q - 4 * q^2 + 8 * q^3 - 6 * q^4 + 2 * q^5 - 2 * q^6 + 8 * q^7 - 2 * q^8 - 16 * q^9 + 6 * q^10 + 6 * q^12 - 12 * q^13 + 10 * q^14 - 18 * q^15 + 62 * q^16 + 8 * q^17 - 12 * q^18 - 18 * q^20 - 10 * q^21 - 4 * q^22 - 40 * q^23 + 62 * q^24 - 6 * q^25 - 58 * q^27 + 18 * q^28 + 2 * q^29 - 70 * q^30 - 2 * q^31 - 66 * q^32 + 24 * q^34 - 2 * q^35 + 24 * q^36 - 14 * q^37 - 6 * q^38 - 4 * q^39 - 100 * q^40 + 6 * q^41 - 30 * q^42 - 22 * q^43 + 120 * q^44 + 94 * q^45 - 44 * q^46 + 32 * q^47 + 108 * q^48 + 18 * q^49 - 22 * q^50 - 8 * q^51 - 126 * q^52 + 44 * q^53 - 28 * q^54 + 2 * q^55 + 42 * q^56 + 20 * q^57 + 2 * q^58 - 22 * q^59 - 68 * q^60 - 10 * q^61 + 16 * q^62 - 8 * q^63 - 60 * q^65 + 6 * q^66 + 36 * q^67 - 48 * q^68 + 76 * q^69 + 154 * q^70 - 228 * q^72 + 12 * q^73 + 8 * q^74 - 72 * q^75 - 6 * q^76 - 8 * q^77 - 110 * q^78 + 6 * q^79 - 4 * q^80 + 44 * q^81 - 50 * q^82 + 30 * q^83 - 222 * q^84 - 126 * q^85 + 90 * q^86 + 112 * q^87 + 2 * q^88 - 8 * q^89 + 72 * q^90 + 72 * q^91 - 132 * q^92 + 112 * q^93 - 42 * q^94 + 78 * q^95 + 68 * q^96 - 72 * q^97 - 16 * q^98 + 4 * q^99

Introduction

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