LMFDB - Embedded newform 546.2.bu.b.71.5

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			71.5
Character	$\chi$	$=$	546.71
Dual form			546.2.bu.b.323.5

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.965926 + 0.258819i) q^{2} +(0.458354 + 1.67030i) q^{3} +(0.866025 - 0.500000i) q^{4} +(1.24412 + 1.24412i) q^{5} +(-0.875042 - 1.49476i) q^{6} +(-0.258819 + 0.965926i) q^{7} +(-0.707107 + 0.707107i) q^{8} +(-2.57982 + 1.53118i) q^{9} +O(q^{10})$	\(q+(-0.965926 + 0.258819i) q^{2} +(0.458354 + 1.67030i) q^{3} +(0.866025 - 0.500000i) q^{4} +(1.24412 + 1.24412i) q^{5} +(-0.875042 - 1.49476i) q^{6} +(-0.258819 + 0.965926i) q^{7} +(-0.707107 + 0.707107i) q^{8} +(-2.57982 + 1.53118i) q^{9} +(-1.52373 - 0.879726i) q^{10} +(0.417849 + 1.55943i) q^{11} +(1.23210 + 1.21735i) q^{12} +(-3.43305 - 1.10191i) q^{13} -1.00000i q^{14} +(-1.50781 + 2.64830i) q^{15} +(0.500000 - 0.866025i) q^{16} +(2.60304 + 4.50861i) q^{17} +(2.09562 - 2.14671i) q^{18} +(-1.82947 - 0.490206i) q^{19} +(1.69950 + 0.455380i) q^{20} +(-1.73202 + 0.0104295i) q^{21} +(-0.807222 - 1.39815i) q^{22} +(-1.39076 + 2.40886i) q^{23} +(-1.50519 - 0.856977i) q^{24} -1.90433i q^{25} +(3.60126 + 0.175822i) q^{26} +(-3.74000 - 3.60727i) q^{27} +(0.258819 + 0.965926i) q^{28} +(5.73398 + 3.31051i) q^{29} +(0.771001 - 2.94832i) q^{30} +(1.89061 - 1.89061i) q^{31} +(-0.258819 + 0.965926i) q^{32} +(-2.41320 + 1.41271i) q^{33} +(-3.68126 - 3.68126i) q^{34} +(-1.52373 + 0.879726i) q^{35} +(-1.46860 + 2.61595i) q^{36} +(-0.216677 + 0.0580585i) q^{37} +1.89401 q^{38} +(0.266967 - 6.23929i) q^{39} -1.75945 q^{40} +(0.320883 - 0.0859802i) q^{41} +(1.67030 - 0.458354i) q^{42} +(-2.90801 + 1.67894i) q^{43} +(1.14158 + 1.14158i) q^{44} +(-5.11458 - 1.30464i) q^{45} +(0.719909 - 2.68674i) q^{46} +(-5.55062 + 5.55062i) q^{47} +(1.67570 + 0.438205i) q^{48} +(-0.866025 - 0.500000i) q^{49} +(0.492877 + 1.83944i) q^{50} +(-6.33762 + 6.41441i) q^{51} +(-3.52406 + 0.762244i) q^{52} -6.37059i q^{53} +(4.54620 + 2.51637i) q^{54} +(-1.42027 + 2.45998i) q^{55} +(-0.500000 - 0.866025i) q^{56} +(-0.0197536 - 3.28046i) q^{57} +(-6.39542 - 1.71365i) q^{58} +(-5.66744 - 1.51859i) q^{59} +(0.0183502 + 3.04740i) q^{60} +(3.51619 + 6.09022i) q^{61} +(-1.33686 + 2.31551i) q^{62} +(-0.811298 - 2.88822i) q^{63} -1.00000i q^{64} +(-2.90022 - 5.64203i) q^{65} +(1.96534 - 1.98915i) q^{66} +(2.05784 + 7.67998i) q^{67} +(4.50861 + 2.60304i) q^{68} +(-4.66099 - 1.21887i) q^{69} +(1.24412 - 1.24412i) q^{70} +(-0.213413 + 0.796468i) q^{71} +(0.741504 - 2.90692i) q^{72} +(-4.64717 - 4.64717i) q^{73} +(0.194268 - 0.112160i) q^{74} +(3.18081 - 0.872857i) q^{75} +(-1.82947 + 0.490206i) q^{76} -1.61444 q^{77} +(1.35698 + 6.09579i) q^{78} +14.0085 q^{79} +(1.69950 - 0.455380i) q^{80} +(4.31098 - 7.90034i) q^{81} +(-0.287695 + 0.166101i) q^{82} +(-0.280926 - 0.280926i) q^{83} +(-1.49476 + 0.875042i) q^{84} +(-2.37075 + 8.84775i) q^{85} +(2.37438 - 2.37438i) q^{86} +(-2.90137 + 11.0949i) q^{87} +(-1.39815 - 0.807222i) q^{88} +(2.21212 + 8.25576i) q^{89} +(5.27797 - 0.0635659i) q^{90} +(1.95290 - 3.03087i) q^{91} +2.78151i q^{92} +(4.02446 + 2.29132i) q^{93} +(3.92488 - 6.79810i) q^{94} +(-1.66621 - 2.88596i) q^{95} +(-1.73202 + 0.0104295i) q^{96} +(-1.03271 - 0.276713i) q^{97} +(0.965926 + 0.258819i) q^{98} +(-3.46575 - 3.38326i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 56 q + 8 q^{6} - 24 q^{9}+O(q^{10}) $ 56 * q + 8 * q^6 - 24 * q^9	$ 56 q + 8 q^{6} - 24 q^{9} + 24 q^{10} + 8 q^{11} + 24 q^{13} + 4 q^{15} + 28 q^{16} - 4 q^{17} - 8 q^{18} + 8 q^{19} + 4 q^{21} - 8 q^{23} - 8 q^{24} - 4 q^{26} - 24 q^{27} - 8 q^{30} - 8 q^{31} + 8 q^{33} - 24 q^{34} + 24 q^{35} - 12 q^{36} - 8 q^{37} - 20 q^{39} - 28 q^{41} + 8 q^{44} + 72 q^{45} - 20 q^{46} + 64 q^{50} + 16 q^{54} + 8 q^{55} - 28 q^{56} + 4 q^{58} - 8 q^{59} + 20 q^{60} + 8 q^{61} - 32 q^{62} - 16 q^{63} - 24 q^{65} + 32 q^{66} - 16 q^{69} - 112 q^{71} + 8 q^{73} + 48 q^{74} + 40 q^{75} + 8 q^{76} + 16 q^{79} + 12 q^{81} - 4 q^{83} - 4 q^{84} + 32 q^{85} - 16 q^{86} - 144 q^{87} + 88 q^{89} - 8 q^{90} - 8 q^{91} + 52 q^{93} - 8 q^{94} - 48 q^{95} + 4 q^{96} - 64 q^{97} + 56 q^{99}+O(q^{100}) $ 56 * q + 8 * q^6 - 24 * q^9 + 24 * q^10 + 8 * q^11 + 24 * q^13 + 4 * q^15 + 28 * q^16 - 4 * q^17 - 8 * q^18 + 8 * q^19 + 4 * q^21 - 8 * q^23 - 8 * q^24 - 4 * q^26 - 24 * q^27 - 8 * q^30 - 8 * q^31 + 8 * q^33 - 24 * q^34 + 24 * q^35 - 12 * q^36 - 8 * q^37 - 20 * q^39 - 28 * q^41 + 8 * q^44 + 72 * q^45 - 20 * q^46 + 64 * q^50 + 16 * q^54 + 8 * q^55 - 28 * q^56 + 4 * q^58 - 8 * q^59 + 20 * q^60 + 8 * q^61 - 32 * q^62 - 16 * q^63 - 24 * q^65 + 32 * q^66 - 16 * q^69 - 112 * q^71 + 8 * q^73 + 48 * q^74 + 40 * q^75 + 8 * q^76 + 16 * q^79 + 12 * q^81 - 4 * q^83 - 4 * q^84 + 32 * q^85 - 16 * q^86 - 144 * q^87 + 88 * q^89 - 8 * q^90 - 8 * q^91 + 52 * q^93 - 8 * q^94 - 48 * q^95 + 4 * q^96 - 64 * q^97 + 56 * q^99

Display 100 coefficients 10 coefficients

Character values

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

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

Coefficient data

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

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

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

$2$	−0.965926	+	0.258819i	−0.683013	+	0.183013i
$2$	−0.965926	+	0.258819i	−0.683013	+	0.183013i
$3$	0.458354	+	1.67030i	0.264631	+	0.964350i
$3$	0.458354	+	1.67030i	0.264631	+	0.964350i
$4$	0.866025	−	0.500000i	0.433013	−	0.250000i
$5$	1.24412	+	1.24412i	0.556387	+	0.556387i	0.928277	−	0.371890i	$-0.121290\pi$
$5$	1.24412	+	1.24412i	0.556387	+	0.556387i	−0.371890	+	0.928277i	$0.621290\pi$
$6$	−0.875042	−	1.49476i	−0.357234	−	0.610232i
$7$	−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
$9$	−2.57982	+	1.53118i	−0.859941	+	0.510393i
$10$	−1.52373	−	0.879726i	−0.481846	−	0.278194i
$11$	0.417849	+	1.55943i	0.125986	+	0.470187i	0.999873	−	0.0159428i	$-0.00507497\pi$
$11$	0.417849	+	1.55943i	0.125986	+	0.470187i	−0.873887	+	0.486130i	$0.838408\pi$
$12$	1.23210	+	1.21735i	0.355676	+	0.351418i
$13$	−3.43305	−	1.10191i	−0.952156	−	0.305614i
$13$	−3.43305	−	1.10191i	−0.952156	−	0.305614i
$14$		−	1.00000i		−	0.267261i
$15$	−1.50781	+	2.64830i	−0.389315	+	0.683789i
$16$	0.500000	−	0.866025i	0.125000	−	0.216506i
$17$	2.60304	+	4.50861i	0.631331	+	1.09350i	0.987280	+	0.158992i	$0.0508244\pi$
$17$	2.60304	+	4.50861i	0.631331	+	1.09350i	−0.355949	+	0.934505i	$0.615842\pi$
$18$	2.09562	−	2.14671i	0.493942	−	0.505985i
$19$	−1.82947	−	0.490206i	−0.419710	−	0.112461i	0.0427818	−	0.999084i	$-0.486378\pi$
$19$	−1.82947	−	0.490206i	−0.419710	−	0.112461i	−0.462492	+	0.886623i	$0.653045\pi$
$20$	1.69950	+	0.455380i	0.380020	+	0.101826i
$21$	−1.73202	+	0.0104295i	−0.377958	+	0.00227591i
$22$	−0.807222	−	1.39815i	−0.172100	−	0.298086i
$23$	−1.39076	+	2.40886i	−0.289993	+	0.502282i	−0.973808	−	0.227373i	$-0.926986\pi$
$23$	−1.39076	+	2.40886i	−0.289993	+	0.502282i	0.683815	+	0.729656i	$0.260320\pi$
$24$	−1.50519	−	0.856977i	−0.307245	−	0.174930i
$25$		−	1.90433i		−	0.380866i
$26$	3.60126	+	0.175822i	0.706266	+	0.0344815i
$27$	−3.74000	−	3.60727i	−0.719764	−	0.694219i
$28$	0.258819	+	0.965926i	0.0489122	+	0.182543i
$29$	5.73398	+	3.31051i	1.06477	+	0.614747i	0.926749	−	0.375682i	$-0.122591\pi$
$29$	5.73398	+	3.31051i	1.06477	+	0.614747i	0.138024	+	0.990429i	$0.455925\pi$
$30$	0.771001	−	2.94832i	0.140765	−	0.538286i
$31$	1.89061	−	1.89061i	0.339563	−	0.339563i	−0.516640	−	0.856203i	$-0.672817\pi$
$31$	1.89061	−	1.89061i	0.339563	−	0.339563i	0.856203	+	0.516640i	$0.172817\pi$
$32$	−0.258819	+	0.965926i	−0.0457532	+	0.170753i
$33$	−2.41320	+	1.41271i	−0.420085	+	0.245921i
$34$	−3.68126	−	3.68126i	−0.631331	−	0.631331i
$35$	−1.52373	+	0.879726i	−0.257557	+	0.148701i
$36$	−1.46860	+	2.61595i	−0.244767	+	0.435992i
$37$	−0.216677	+	0.0580585i	−0.0356215	+	0.00954477i	−0.276586	−	0.960989i	$-0.589203\pi$
$37$	−0.216677	+	0.0580585i	−0.0356215	+	0.00954477i	0.240964	+	0.970534i	$0.422536\pi$
$38$	1.89401			0.307249
$39$	0.266967	−	6.23929i	0.0427490	−	0.999086i
$40$	−1.75945			−0.278194
$41$	0.320883	−	0.0859802i	0.0501134	−	0.0134279i	−0.233675	−	0.972315i	$-0.575075\pi$
$41$	0.320883	−	0.0859802i	0.0501134	−	0.0134279i	0.283789	+	0.958887i	$0.408409\pi$
$42$	1.67030	−	0.458354i	0.257733	−	0.0707255i
$43$	−2.90801	+	1.67894i	−0.443468	+	0.256036i	−0.705068	−	0.709140i	$-0.749083\pi$
$43$	−2.90801	+	1.67894i	−0.443468	+	0.256036i	0.261600	+	0.965176i	$0.415750\pi$
$44$	1.14158	+	1.14158i	0.172100	+	0.172100i
$45$	−5.11458	−	1.30464i	−0.762437	−	0.194484i
$46$	0.719909	−	2.68674i	0.106145	−	0.396138i
$47$	−5.55062	+	5.55062i	−0.809641	+	0.809641i	−0.984579	−	0.174938i	$-0.944028\pi$
$47$	−5.55062	+	5.55062i	−0.809641	+	0.809641i	0.174938	+	0.984579i	$0.444028\pi$
$48$	1.67570	+	0.438205i	0.241867	+	0.0632495i
$49$	−0.866025	−	0.500000i	−0.123718	−	0.0714286i
$50$	0.492877	+	1.83944i	0.0697033	+	0.260136i
$51$	−6.33762	+	6.41441i	−0.887445	+	0.898197i
$52$	−3.52406	+	0.762244i	−0.488699	+	0.105704i
$53$		−	6.37059i		−	0.875068i	−0.899202	−	0.437534i	$-0.855852\pi$
$53$		−	6.37059i		−	0.875068i	0.899202	−	0.437534i	$-0.144148\pi$
$54$	4.54620	+	2.51637i	0.618659	+	0.342434i
$55$	−1.42027	+	2.45998i	−0.191509	+	0.331703i
$56$	−0.500000	−	0.866025i	−0.0668153	−	0.115728i
$57$	−0.0197536	−	3.28046i	−0.00261643	−	0.434508i
$58$	−6.39542	−	1.71365i	−0.839760	−	0.225013i
$59$	−5.66744	−	1.51859i	−0.737838	−	0.197703i	−0.129721	−	0.991551i	$-0.541408\pi$
$59$	−5.66744	−	1.51859i	−0.737838	−	0.197703i	−0.608117	+	0.793847i	$0.708075\pi$
$60$	0.0183502	+	3.04740i	0.00236901	+	0.393418i
$61$	3.51619	+	6.09022i	0.450202	+	0.779773i	0.998398	−	0.0565769i	$-0.0180186\pi$
$61$	3.51619	+	6.09022i	0.450202	+	0.779773i	−0.548196	+	0.836350i	$0.684685\pi$
$62$	−1.33686	+	2.31551i	−0.169782	+	0.294070i
$63$	−0.811298	−	2.88822i	−0.102214	−	0.363881i
$64$		−	1.00000i		−	0.125000i
$65$	−2.90022	−	5.64203i	−0.359728	−	0.699807i
$66$	1.96534	−	1.98915i	0.241917	−	0.244848i
$67$	2.05784	+	7.67998i	0.251406	+	0.938259i	0.970055	+	0.242886i	$0.0780941\pi$
$67$	2.05784	+	7.67998i	0.251406	+	0.938259i	−0.718649	+	0.695373i	$0.755239\pi$
$68$	4.50861	+	2.60304i	0.546749	+	0.315666i
$69$	−4.66099	−	1.21887i	−0.561117	−	0.146735i
$70$	1.24412	−	1.24412i	0.148701	−	0.148701i
$71$	−0.213413	+	0.796468i	−0.0253275	+	0.0945233i	−0.977433	−	0.211247i	$-0.932247\pi$
$71$	−0.213413	+	0.796468i	−0.0253275	+	0.0945233i	0.952105	+	0.305771i	$0.0989141\pi$
$72$	0.741504	−	2.90692i	0.0873870	−	0.342584i
$73$	−4.64717	−	4.64717i	−0.543910	−	0.543910i	0.380763	−	0.924673i	$-0.375661\pi$
$73$	−4.64717	−	4.64717i	−0.543910	−	0.543910i	−0.924673	+	0.380763i	$0.875661\pi$
$74$	0.194268	−	0.112160i	0.0225832	−	0.0130384i
$75$	3.18081	−	0.872857i	0.367288	−	0.100789i
$76$	−1.82947	+	0.490206i	−0.209855	+	0.0562305i
$77$	−1.61444			−0.183983
$78$	1.35698	+	6.09579i	0.153647	+	0.690212i
$79$	14.0085			1.57608			0.788041	−	0.615622i	$-0.211095\pi$
$79$	14.0085			1.57608			0.788041	+	0.615622i	$0.211095\pi$
$80$	1.69950	−	0.455380i	0.190010	−	0.0509130i
$81$	4.31098	−	7.90034i	0.478998	−	0.877816i
$82$	−0.287695	+	0.166101i	−0.0317706	+	0.0183428i
$83$	−0.280926	−	0.280926i	−0.0308356	−	0.0308356i	0.691521	−	0.722356i	$-0.256941\pi$
$83$	−0.280926	−	0.280926i	−0.0308356	−	0.0308356i	−0.722356	+	0.691521i	$0.756941\pi$
$84$	−1.49476	+	0.875042i	−0.163091	+	0.0954749i
$85$	−2.37075	+	8.84775i	−0.257144	+	0.959673i
$86$	2.37438	−	2.37438i	0.256036	−	0.256036i
$87$	−2.90137	+	11.0949i	−0.311060	+	1.18949i
$88$	−1.39815	−	0.807222i	−0.149043	−	0.0860501i
$89$	2.21212	+	8.25576i	0.234485	+	0.875108i	0.978380	+	0.206813i	$0.0663092\pi$
$89$	2.21212	+	8.25576i	0.234485	+	0.875108i	−0.743896	+	0.668296i	$0.767024\pi$
$90$	5.27797	−	0.0635659i	0.556347	−	0.00670044i
$91$	1.95290	−	3.03087i	0.204719	−	0.317722i
$92$			2.78151i			0.289993i
$93$	4.02446	+	2.29132i	0.417317	+	0.237599i
$94$	3.92488	−	6.79810i	0.404821	−	0.701170i
$95$	−1.66621	−	2.88596i	−0.170950	−	0.296093i
$96$	−1.73202	+	0.0104295i	−0.176773	+	0.00106446i
$97$	−1.03271	−	0.276713i	−0.104856	−	0.0280960i	0.206010	−	0.978550i	$-0.433952\pi$
$97$	−1.03271	−	0.276713i	−0.104856	−	0.0280960i	−0.310865	+	0.950454i	$0.600619\pi$
$98$	0.965926	+	0.258819i	0.0975732	+	0.0261447i
$99$	−3.46575	−	3.38326i	−0.348321	−	0.340030i
$100$	−0.952165	−	1.64920i	−0.0952165	−	0.164920i
$101$	3.18364	−	5.51423i	0.316784	−	0.548686i	−0.663031	−	0.748592i	$-0.730730\pi$
$101$	3.18364	−	5.51423i	0.316784	−	0.548686i	0.979815	+	0.199906i	$0.0640636\pi$
$102$	4.46150	−	7.83614i	0.441754	−	0.775894i
$103$			14.4073i			1.41959i	0.704409	+	0.709794i	$0.251212\pi$
$103$			14.4073i			1.41959i	−0.704409	+	0.709794i	$0.748788\pi$
$104$	3.20670	−	1.64836i	0.314442	−	0.161635i
$105$	−2.16782	−	2.14186i	−0.211557	−	0.209025i
$106$	1.64883	+	6.15352i	0.160149	+	0.597683i
$107$	7.79011	+	4.49762i	0.753098	+	0.434801i	0.826812	−	0.562478i	$-0.190152\pi$
$107$	7.79011	+	4.49762i	0.753098	+	0.434801i	−0.0737142	+	0.997279i	$0.523485\pi$
$108$	−5.04257	−	1.25398i	−0.485222	−	0.120664i
$109$	11.5728	−	11.5728i	1.10847	−	1.10847i	0.115120	−	0.993352i	$-0.463275\pi$
$109$	11.5728	−	11.5728i	1.10847	−	1.10847i	0.993352	−	0.115120i	$-0.0367252\pi$
$110$	0.735185	−	2.74375i	0.0700971	−	0.261606i
$111$	−0.196290	−	0.335306i	−0.0186310	−	0.0318258i
$112$	0.707107	+	0.707107i	0.0668153	+	0.0668153i
$113$	17.5944	−	10.1582i	1.65515	−	0.955599i	0.680238	−	0.732992i	$-0.261877\pi$
$113$	17.5944	−	10.1582i	1.65515	−	0.955599i	0.974908	−	0.222607i	$-0.0714567\pi$
$114$	0.868127	+	3.16357i	0.0813076	+	0.296296i
$115$	−4.72718	+	1.26664i	−0.440812	+	0.118115i
$116$	6.62103			0.614747
$117$	10.5439	−	2.41389i	0.974781	−	0.223164i
$118$	5.86737			0.540135
$119$	−5.02870	+	1.34744i	−0.460980	+	0.123519i
$120$	−0.806451	−	2.93882i	−0.0736186	−	0.268276i
$121$	7.26905	−	4.19679i	0.660822	−	0.381526i
$122$	−4.97264	−	4.97264i	−0.450202	−	0.450202i
$123$	0.290691	+	0.496562i	0.0262107	+	0.0447735i
$124$	0.692011	−	2.58262i	0.0621444	−	0.231926i
$125$	8.58982	−	8.58982i	0.768297	−	0.768297i
$126$	1.53118	+	2.57982i	0.136408	+	0.229829i
$127$	0.140223	+	0.0809577i	0.0124428	+	0.00718384i	0.506208	−	0.862411i	$-0.331047\pi$
$127$	0.140223	+	0.0809577i	0.0124428	+	0.00718384i	−0.493766	+	0.869595i	$0.664380\pi$
$128$	0.258819	+	0.965926i	0.0228766	+	0.0853766i
$129$	−4.13724	−	4.08771i	−0.364264	−	0.359903i
$130$	4.26166	+	4.69915i	0.373772	+	0.412142i
$131$		−	3.95900i		−	0.345900i	−0.984931	−	0.172950i	$-0.944670\pi$
$131$		−	3.95900i		−	0.345900i	0.984931	−	0.172950i	$-0.0553298\pi$
$132$	−1.38354	+	2.43004i	−0.120422	+	0.211508i
$133$	0.947006	−	1.64026i	0.0821158	−	0.142229i
$134$	−3.97545	−	6.88568i	−0.343427	−	0.594832i
$135$	−0.165144	−	9.14089i	−0.0142133	−	0.786722i
$136$	−5.02870	−	1.34744i	−0.431207	−	0.115542i
$137$	−6.31406	−	1.69185i	−0.539446	−	0.144544i	−0.0211995	−	0.999775i	$-0.506749\pi$
$137$	−6.31406	−	1.69185i	−0.539446	−	0.144544i	−0.518247	+	0.855231i	$0.673415\pi$
$138$	4.81764	−	0.0290099i	0.410104	−	0.00246948i
$139$	6.89758	+	11.9470i	0.585045	+	1.01333i	0.994870	+	0.101163i	$0.0322564\pi$
$139$	6.89758	+	11.9470i	0.585045	+	1.01333i	−0.409825	+	0.912164i	$0.634410\pi$
$140$	−0.879726	+	1.52373i	−0.0743504	+	0.128779i
$141$	−11.8154	−	6.72707i	−0.995034	−	0.566522i
$142$		−	0.824564i		−	0.0691959i
$143$	0.283854	−	5.81403i	0.0237371	−	0.486194i
$144$	0.0361283	+	2.99978i	0.00301069	+	0.249982i
$145$	3.01508	+	11.2524i	0.250389	+	0.934464i
$146$	5.69159	+	3.28604i	0.471040	+	0.271955i
$147$	0.438205	−	1.67570i	0.0361426	−	0.138210i
$148$	−0.158619	+	0.158619i	−0.0130384	+	0.0130384i
$149$	−2.66242	+	9.93630i	−0.218114	+	0.814014i	0.766933	+	0.641728i	$0.221782\pi$
$149$	−2.66242	+	9.93630i	−0.218114	+	0.814014i	−0.985047	+	0.172286i	$0.944885\pi$
$150$	−2.84651	+	1.66637i	−0.232417	+	0.136058i
$151$	−8.97284	−	8.97284i	−0.730199	−	0.730199i	0.240460	−	0.970659i	$-0.422702\pi$
$151$	−8.97284	−	8.97284i	−0.730199	−	0.730199i	−0.970659	+	0.240460i	$0.922702\pi$
$152$	1.64026	−	0.947006i	0.133043	−	0.0768123i
$153$	−13.6189	−	7.64568i	−1.10102	−	0.618117i
$154$	1.55943	−	0.417849i	0.125663	−	0.0336712i
$155$	4.70429			0.377858
$156$	−2.88844	−	5.53687i	−0.231261	−	0.443304i
$157$	24.6070			1.96385			0.981926	−	0.189266i	$-0.0606107\pi$
$157$	24.6070			1.96385			0.981926	+	0.189266i	$0.0606107\pi$
$158$	−13.5312	+	3.62567i	−1.07648	+	0.288443i
$159$	10.6408	−	2.91999i	0.843872	−	0.231570i
$160$	−1.52373	+	0.879726i	−0.120461	+	0.0695484i
$161$	−1.96683	−	1.96683i	−0.155008	−	0.155008i
$162$	−2.11933	+	8.74691i	−0.166510	+	0.687222i
$163$	4.67249	−	17.4380i	0.365978	−	1.36585i	−0.500113	−	0.865960i	$-0.666708\pi$
$163$	4.67249	−	17.4380i	0.365978	−	1.36585i	0.866091	−	0.499887i	$-0.166625\pi$
$164$	0.234902	−	0.234902i	0.0183428	−	0.0183428i
$165$	−4.75989	−	1.24474i	−0.370557	−	0.0969028i
$166$	0.344063	+	0.198645i	0.0267044	+	0.0154178i
$167$	2.82021	+	10.5252i	0.218235	+	0.814462i	0.985003	+	0.172538i	$0.0551969\pi$
$167$	2.82021	+	10.5252i	0.218235	+	0.814462i	−0.766768	+	0.641924i	$0.778136\pi$
$168$	1.21735	−	1.23210i	0.0939204	−	0.0950584i
$169$	10.5716	+	7.56579i	0.813200	+	0.581984i
$170$		−	9.15986i		−	0.702529i
$171$	5.47032	−	1.53661i	0.418325	−	0.117507i
$172$	−1.67894	+	2.90801i	−0.128018	+	0.221734i
$173$	11.6732	+	20.2185i	0.887494	+	1.53718i	0.842828	+	0.538182i	$0.180889\pi$
$173$	11.6732	+	20.2185i	0.887494	+	1.53718i	0.0446655	+	0.999002i	$0.485778\pi$
$174$	−0.0690542	−	11.4677i	−0.00523498	−	0.869368i
$175$	1.83944	+	0.492877i	0.139049	+	0.0372580i
$176$	1.55943	+	0.417849i	0.117547	+	0.0314965i
$177$	−0.0611938	−	10.1624i	−0.00459961	−	0.763852i
$178$	−4.27349	−	7.40191i	−0.320312	−	0.554797i
$179$	4.07847	−	7.06412i	0.304839	−	0.527997i	−0.672386	−	0.740200i	$-0.734731\pi$
$179$	4.07847	−	7.06412i	0.304839	−	0.527997i	0.977225	+	0.212204i	$0.0680640\pi$
$180$	−5.08168	+	1.42744i	−0.378766	+	0.106395i
$181$		−	17.4134i		−	1.29433i	−0.762351	−	0.647164i	$-0.775955\pi$
$181$		−	17.4134i		−	1.29433i	0.762351	−	0.647164i	$-0.224045\pi$
$182$	−1.10191	+	3.43305i	−0.0816787	+	0.254474i
$183$	−8.56085	+	8.66458i	−0.632837	+	0.640504i
$184$	−0.719909	−	2.68674i	−0.0530724	−	0.198069i
$185$	−0.341805	−	0.197341i	−0.0251300	−	0.0145088i
$186$	−4.48036	−	1.17164i	−0.328516	−	0.0859088i
$187$	−5.94319	+	5.94319i	−0.434609	+	0.434609i
$188$	−2.03167	+	7.58229i	−0.148175	+	0.552995i
$189$	4.45234	−	2.67894i	0.323860	−	0.194864i
$190$	2.35638	+	2.35638i	0.170950	+	0.170950i
$191$	−15.9945	+	9.23445i	−1.15732	+	0.668181i	−0.950661	−	0.310231i	$-0.899594\pi$
$191$	−15.9945	+	9.23445i	−1.15732	+	0.668181i	−0.206663	+	0.978412i	$0.566260\pi$
$192$	1.67030	−	0.458354i	0.120544	−	0.0330788i
$193$	−24.6743	+	6.61147i	−1.77610	+	0.475904i	−0.989863	−	0.142023i	$-0.954639\pi$
$193$	−24.6743	+	6.61147i	−1.77610	+	0.475904i	−0.786235	+	0.617927i	$0.787973\pi$
$194$	1.06914			0.0767596
$195$	8.09457	−	7.43029i	0.579664	−	0.532094i
$196$	−1.00000			−0.0714286
$197$	15.8323	−	4.24225i	1.12800	−	0.302248i	0.353886	−	0.935289i	$-0.384860\pi$
$197$	15.8323	−	4.24225i	1.12800	−	0.302248i	0.774119	+	0.633041i	$0.218193\pi$
$198$	4.22331	+	2.37098i	0.300137	+	0.168498i
$199$	23.3583	−	13.4859i	1.65583	−	0.955992i	0.681217	−	0.732081i	$-0.261451\pi$
$199$	23.3583	−	13.4859i	1.65583	−	0.955992i	0.974610	−	0.223911i	$-0.0718825\pi$
$200$	1.34656	+	1.34656i	0.0952165	+	0.0952165i
$201$	−11.8847	+	6.95737i	−0.838280	+	0.490735i
$202$	−1.64797	+	6.15032i	−0.115951	+	0.432735i
$203$	−4.68177	+	4.68177i	−0.328596	+	0.328596i
$204$	−2.28134	+	8.72385i	−0.159726	+	0.610792i
$205$	0.506186	+	0.292247i	0.0353536	+	0.0204114i
$206$	−3.72887	−	13.9163i	−0.259803	−	0.969597i
$207$	−0.100491	−	8.34394i	−0.00698463	−	0.579944i
$208$	−2.67080	+	2.42215i	−0.185187	+	0.167946i
$209$		−	3.05778i		−	0.211511i
$210$	2.64830	+	1.50781i	0.182750	+	0.104049i
$211$	−5.67857	+	9.83557i	−0.390929	+	0.677108i	−0.992572	−	0.121656i	$-0.961179\pi$
$211$	−5.67857	+	9.83557i	−0.390929	+	0.677108i	0.601644	+	0.798765i	$0.294513\pi$
$212$	−3.18530	−	5.51710i	−0.218767	−	0.378916i
$213$	−1.42816	+	0.00859981i	−0.0978560	+	0.000589249i
$214$	−8.68873	−	2.32814i	−0.593950	−	0.159148i
$215$	−5.70672	−	1.52911i	−0.389195	−	0.104285i
$216$	5.19530	−	0.0938612i	0.353496	−	0.00638644i
$217$	1.33686	+	2.31551i	0.0907521	+	0.157187i
$218$	−8.18319	+	14.1737i	−0.554236	+	0.959964i
$219$	5.63213	−	9.89222i	0.380584	−	0.668454i
$220$			2.84054i			0.191509i
$221$	−3.96831	−	18.3466i	−0.266938	−	1.23412i
$222$	0.276385	+	0.273077i	0.0185498	+	0.0183277i
$223$	2.14598	+	8.00891i	0.143706	+	0.536317i	0.999810	+	0.0195130i	$0.00621158\pi$
$223$	2.14598	+	8.00891i	0.143706	+	0.536317i	−0.856104	+	0.516804i	$0.827122\pi$
$224$	−0.866025	−	0.500000i	−0.0578638	−	0.0334077i
$225$	2.91587	+	4.91283i	0.194391	+	0.327522i
$226$	−14.3658	+	14.3658i	−0.955599	+	0.955599i
$227$	−5.08068	+	18.9614i	−0.337216	+	1.25851i	0.564230	+	0.825618i	$0.309173\pi$
$227$	−5.08068	+	18.9614i	−0.337216	+	1.25851i	−0.901446	+	0.432891i	$0.857493\pi$
$228$	−1.65734	−	2.83109i	−0.109760	−	0.187493i
$229$	−6.39099	−	6.39099i	−0.422328	−	0.422328i	0.463676	−	0.886005i	$-0.346530\pi$
$229$	−6.39099	−	6.39099i	−0.422328	−	0.422328i	−0.886005	+	0.463676i	$0.846530\pi$
$230$	4.23828	−	2.44697i	0.279464	−	0.161348i
$231$	−0.739986	−	2.69661i	−0.0486875	−	0.177424i
$232$	−6.39542	+	1.71365i	−0.419880	+	0.112507i
$233$	−18.2030			−1.19252			−0.596259	−	0.802792i	$-0.703347\pi$
$233$	−18.2030			−1.19252			−0.596259	+	0.802792i	$0.703347\pi$
$234$	−9.55984	+	5.06059i	−0.624946	+	0.330821i
$235$	−13.8113			−0.900949
$236$	−5.66744	+	1.51859i	−0.368919	+	0.0988515i
$237$	6.42086	+	23.3985i	0.417080	+	1.51990i
$238$	4.50861	−	2.60304i	0.292250	−	0.168730i
$239$	4.35347	+	4.35347i	0.281603	+	0.281603i	0.833748	−	0.552145i	$-0.186191\pi$
$239$	4.35347	+	4.35347i	0.281603	+	0.281603i	−0.552145	+	0.833748i	$0.686191\pi$
$240$	1.53959	+	2.62995i	0.0993804	+	0.169763i
$241$	2.72498	−	10.1698i	0.175531	−	0.655091i	−0.820929	−	0.571030i	$-0.806544\pi$
$241$	2.72498	−	10.1698i	0.175531	−	0.655091i	0.996461	−	0.0840616i	$-0.0267893\pi$
$242$	−5.93515	+	5.93515i	−0.381526	+	0.381526i
$243$	15.1719	+	3.57949i	0.973279	+	0.229624i
$244$	6.09022	+	3.51619i	0.389886	+	0.225101i
$245$	−0.455380	−	1.69950i	−0.0290931	−	0.108577i
$246$	−0.409305	−	0.404405i	−0.0260964	−	0.0257840i
$247$	5.74051	+	3.69881i	0.365260	+	0.235350i
$248$			2.67372i			0.169782i
$249$	0.340468	−	0.597995i	0.0215763	−	0.0378964i
$250$	−6.07392	+	10.5203i	−0.384148	+	0.665364i
$251$	−1.20372	−	2.08490i	−0.0759778	−	0.131597i	0.825533	−	0.564353i	$-0.190874\pi$
$251$	−1.20372	−	2.08490i	−0.0759778	−	0.131597i	−0.901511	+	0.432756i	$0.857541\pi$
$252$	−2.14671	−	2.09562i	−0.135230	−	0.132012i
$253$	−4.33759	−	1.16225i	−0.272702	−	0.0730702i
$254$	−0.156398	−	0.0419068i	−0.00981331	−	0.00262947i
$255$	−15.8651	+	0.0955330i	−0.993509	+	0.00598251i
$256$	−0.500000	−	0.866025i	−0.0312500	−	0.0541266i
$257$	−7.74931	+	13.4222i	−0.483389	+	0.837254i	−0.999818	−	0.0190759i	$-0.993928\pi$
$257$	−7.74931	+	13.4222i	−0.483389	+	0.837254i	0.516429	+	0.856330i	$0.327261\pi$
$258$	5.05425	+	2.87763i	0.314664	+	0.179154i
$259$		−	0.224321i		−	0.0139386i
$260$	−5.33268	−	3.43603i	−0.330718	−	0.213093i
$261$	−19.8616	+	0.239206i	−1.22940	+	0.0148065i
$262$	1.02466	+	3.82410i	0.0633040	+	0.236254i
$263$	−1.60081	−	0.924229i	−0.0987103	−	0.0569904i	0.449832	−	0.893113i	$-0.351484\pi$
$263$	−1.60081	−	0.924229i	−0.0987103	−	0.0569904i	−0.548542	+	0.836123i	$0.684817\pi$
$264$	0.707458	−	2.70533i	0.0435410	−	0.166501i
$265$	7.92578	−	7.92578i	0.486877	−	0.486877i
$266$	−0.490206	+	1.82947i	−0.0300565	+	0.112172i
$267$	−12.7757	+	7.47897i	−0.781859	+	0.457706i
$268$	5.62214	+	5.62214i	0.343427	+	0.343427i
$269$	17.2653	−	9.96813i	1.05268	−	0.607767i	0.129285	−	0.991608i	$-0.458732\pi$
$269$	17.2653	−	9.96813i	1.05268	−	0.607767i	0.923400	+	0.383840i	$0.125399\pi$
$270$	2.52535	+	8.78668i	0.153688	+	0.534740i
$271$	−22.3077	+	5.97732i	−1.35509	+	0.363096i	−0.862012	−	0.506887i	$-0.830796\pi$
$271$	−22.3077	+	5.97732i	−1.35509	+	0.363096i	−0.493081	+	0.869983i	$0.664129\pi$
$272$	5.20609			0.315666
$273$	5.95759	+	1.87272i	0.360570	+	0.113342i
$274$	6.53680			0.394902
$275$	2.96967	−	0.795722i	0.179078	−	0.0479838i
$276$	−4.64597	+	1.27492i	−0.279655	+	0.0767410i
$277$	−3.53780	+	2.04255i	−0.212566	+	0.122725i	−0.602503	−	0.798116i	$-0.705830\pi$
$277$	−3.53780	+	2.04255i	−0.212566	+	0.122725i	0.389937	+	0.920841i	$0.372497\pi$
$278$	−9.75465	−	9.75465i	−0.585045	−	0.585045i
$279$	−1.98258	+	7.77230i	−0.118694	+	0.465315i
$280$	0.455380	−	1.69950i	0.0272141	−	0.101565i
$281$	14.6432	−	14.6432i	0.873542	−	0.873542i	−0.119315	−	0.992857i	$-0.538070\pi$
$281$	14.6432	−	14.6432i	0.873542	−	0.873542i	0.992857	+	0.119315i	$0.0380697\pi$
$282$	13.1539	+	3.43981i	0.783301	+	0.204838i
$283$	11.3739	+	6.56673i	0.676109	+	0.390352i	0.798387	−	0.602144i	$-0.205687\pi$
$283$	11.3739	+	6.56673i	0.676109	+	0.390352i	−0.122279	+	0.992496i	$0.539020\pi$
$284$	0.213413	+	0.796468i	0.0126637	+	0.0472617i
$285$	4.05672	−	4.10587i	0.240299	−	0.243211i
$286$	1.23060	+	5.68939i	0.0727669	+	0.336421i
$287$			0.332202i			0.0196093i
$288$	−0.811298	−	2.88822i	−0.0478062	−	0.170190i
$289$	−5.05169	+	8.74978i	−0.297158	+	0.514693i
$290$	−5.82469	−	10.0887i	−0.342038	−	0.592426i
$291$	−0.0111506	−	1.85177i	−0.000653659	−	0.108552i
$292$	−6.34815	−	1.70098i	−0.371497	−	0.0995424i
$293$	−14.3768	−	3.85226i	−0.839903	−	0.225051i	−0.186873	−	0.982384i	$-0.559835\pi$
$293$	−14.3768	−	3.85226i	−0.839903	−	0.225051i	−0.653029	+	0.757333i	$0.726502\pi$
$294$	0.0104295	+	1.73202i	0.000608262	+	0.101013i
$295$	−5.16167	−	8.94028i	−0.300524	−	0.520523i
$296$	0.112160	−	0.194268i	0.00651920	−	0.0112916i
$297$	4.06253	−	7.33958i	0.235732	−	0.425886i
$298$		−	10.2868i		−	0.595899i
$299$	7.42887	−	6.73725i	0.429623	−	0.389625i
$300$	2.31823	−	2.34632i	0.133843	−	0.135465i
$301$	−0.869084	−	3.24347i	−0.0500932	−	0.186950i
$302$	10.9894	+	6.34476i	0.632371	+	0.365100i
$303$	10.6697	+	2.79018i	0.612956	+	0.160291i
$304$	−1.33927	+	1.33927i	−0.0768123	+	0.0768123i
$305$	−3.20240	+	11.9515i	−0.183369	+	0.684343i
$306$	15.1337	+	3.86033i	0.865135	+	0.220681i
$307$	2.17205	+	2.17205i	0.123966	+	0.123966i	0.766368	−	0.642402i	$-0.222062\pi$
$307$	2.17205	+	2.17205i	0.123966	+	0.123966i	−0.642402	+	0.766368i	$0.722062\pi$
$308$	−1.39815	+	0.807222i	−0.0796670	+	0.0459957i
$309$	−24.0645	+	6.60362i	−1.36898	+	0.375667i
$310$	−4.54399	+	1.21756i	−0.258082	+	0.0691527i
$311$	−18.9206			−1.07289			−0.536443	−	0.843936i	$-0.680233\pi$
$311$	−18.9206			−1.07289			−0.536443	+	0.843936i	$0.680233\pi$
$312$	4.22307	+	4.60062i	0.239084	+	0.260459i
$313$	−11.5423			−0.652409			−0.326204	−	0.945299i	$-0.605770\pi$
$313$	−11.5423			−0.652409			−0.326204	+	0.945299i	$0.605770\pi$
$314$	−23.7685	+	6.36876i	−1.34134	+	0.359410i
$315$	2.58394	−	4.60264i	0.145588	−	0.259329i
$316$	12.1317	−	7.00426i	0.682464	−	0.394021i
$317$	8.14809	+	8.14809i	0.457642	+	0.457642i	0.897881	−	0.440239i	$-0.145106\pi$
$317$	8.14809	+	8.14809i	0.457642	+	0.457642i	−0.440239	+	0.897881i	$0.645106\pi$
$318$	−9.52250	+	5.57454i	−0.533995	+	0.312604i
$319$	−2.76659	+	10.3250i	−0.154899	+	0.578092i
$320$	1.24412	−	1.24412i	0.0695484	−	0.0695484i
$321$	−3.94176	+	15.0733i	−0.220008	+	0.841312i
$322$	2.40886	+	1.39076i	0.134241	+	0.0775039i
$323$	−2.55206	−	9.52441i	−0.142000	−	0.529952i
$324$	−0.216754	−	8.99739i	−0.0120419	−	0.499855i
$325$	−2.09839	+	6.53765i	−0.116398	+	0.362644i
$326$			18.0531i			0.999870i
$327$	24.6345	+	14.0256i	1.36229	+	0.775619i
$328$	−0.166101	+	0.287695i	−0.00917139	+	0.0158853i
$329$	−3.92488	−	6.79810i	−0.216386	−	0.374791i
$330$	4.91986	−	0.0296254i	0.270830	−	0.00163083i
$331$	−12.0574	−	3.23077i	−0.662735	−	0.177579i	−0.0882551	−	0.996098i	$-0.528129\pi$
$331$	−12.0574	−	3.23077i	−0.662735	−	0.177579i	−0.574480	+	0.818519i	$0.694796\pi$
$332$	−0.383752	−	0.102826i	−0.0210611	−	0.00564331i
$333$	0.470092	−	0.481553i	0.0257609	−	0.0263889i
$334$	−5.44823	−	9.43661i	−0.298114	−	0.516348i
$335$	−6.99461	+	12.1150i	−0.382156	+	0.661914i
$336$	−0.856977	+	1.50519i	−0.0467520	+	0.0821147i
$337$			2.21834i			0.120841i	0.998173	+	0.0604205i	$0.0192442\pi$
$337$			2.21834i			0.120841i	−0.998173	+	0.0604205i	$0.980756\pi$
$338$	−12.1696	−	4.57186i	−0.661937	−	0.248676i
$339$	25.0317	+	24.7320i	1.35953	+	1.34326i
$340$	2.37075	+	8.84775i	0.128572	+	0.479837i
$341$	3.73827	+	2.15829i	0.202438	+	0.116878i
$342$	−4.88622	+	2.90007i	−0.264216	+	0.156818i
$343$	0.707107	−	0.707107i	0.0381802	−	0.0381802i
$344$	0.869084	−	3.24347i	0.0468579	−	0.174876i
$345$	−4.28240	−	7.31526i	−0.230557	−	0.393840i
$346$	−16.5083	−	16.5083i	−0.887494	−	0.887494i
$347$	18.7796	−	10.8424i	1.00814	−	0.582051i	0.0974953	−	0.995236i	$-0.468917\pi$
$347$	18.7796	−	10.8424i	1.00814	−	0.582051i	0.910647	+	0.413185i	$0.135584\pi$
$348$	3.03477	+	11.0591i	0.162681	+	0.592831i
$349$	15.0581	−	4.03481i	0.806042	−	0.215978i	0.167807	−	0.985820i	$-0.446332\pi$
$349$	15.0581	−	4.03481i	0.806042	−	0.215978i	0.638235	+	0.769842i	$0.279665\pi$
$350$	−1.90433			−0.101791
$351$	8.86474	+	16.5050i	0.473165	+	0.880974i
$352$	−1.61444			−0.0860501
$353$	−6.73165	+	1.80374i	−0.358290	+	0.0960034i	−0.433474	−	0.901166i	$-0.642712\pi$
$353$	−6.73165	+	1.80374i	−0.358290	+	0.0960034i	0.0751840	+	0.997170i	$0.476046\pi$
$354$	2.68933	+	9.80028i	0.142936	+	0.520879i
$355$	−1.25641	+	0.725390i	−0.0666835	+	0.0384997i
$356$	6.04363	+	6.04363i	0.320312	+	0.320312i
$357$	−4.55555	−	7.78184i	−0.241105	−	0.411859i
$358$	−2.11117	+	7.87900i	−0.111579	+	0.416418i
$359$	−11.9714	+	11.9714i	−0.631828	+	0.631828i	−0.948526	−	0.316698i	$-0.897426\pi$
$359$	−11.9714	+	11.9714i	−0.631828	+	0.631828i	0.316698	+	0.948526i	$0.397426\pi$
$360$	4.53908	−	2.69404i	0.239230	−	0.141988i
$361$	−13.3478	−	7.70636i	−0.702516	−	0.405598i
$362$	4.50692	+	16.8201i	0.236878	+	0.884042i
$363$	10.3417	+	10.2179i	0.542798	+	0.536300i
$364$	0.175822	−	3.60126i	0.00921557	−	0.188757i
$365$		−	11.5633i		−	0.605249i
$366$	6.02659	−	10.5851i	0.315015	−	0.553290i
$367$	−13.9866	+	24.2255i	−0.730096	+	1.26456i	0.226746	+	0.973954i	$0.427191\pi$
$367$	−13.9866	+	24.2255i	−0.730096	+	1.26456i	−0.956842	+	0.290609i	$0.906142\pi$
$368$	1.39076	+	2.40886i	0.0724982	+	0.125571i
$369$	−0.696169	+	0.713142i	−0.0362411	+	0.0371247i
$370$	0.381233	+	0.102151i	0.0198194	+	0.00531059i
$371$	6.15352	+	1.64883i	0.319475	+	0.0856030i
$372$	4.63094	−	0.0278857i	0.240103	−	0.00144580i
$373$	−13.4947	−	23.3735i	−0.698727	−	1.21023i	−0.968908	−	0.247422i	$-0.920417\pi$
$373$	−13.4947	−	23.3735i	−0.698727	−	1.21023i	0.270180	−	0.962810i	$-0.412917\pi$
$374$	4.20247	−	7.27889i	0.217305	−	0.376383i
$375$	18.2848	+	10.4104i	0.944221	+	0.537592i
$376$		−	7.84977i		−	0.404821i
$377$	−16.0371	−	17.6834i	−0.825954	−	0.910744i
$378$	−3.60727	+	3.74000i	−0.185538	+	0.192365i
$379$	−9.45108	−	35.2719i	−0.485469	−	1.81180i	−0.577938	−	0.816081i	$-0.696142\pi$
$379$	−9.45108	−	35.2719i	−0.485469	−	1.81180i	0.0924683	−	0.995716i	$-0.470524\pi$
$380$	−2.88596	−	1.66621i	−0.148047	−	0.0854748i
$381$	−0.0709523	+	0.271322i	−0.00363499	+	0.0139002i
$382$	13.0595	−	13.0595i	0.668181	−	0.668181i
$383$	5.05932	−	18.8817i	0.258519	−	0.964807i	−0.707579	−	0.706634i	$-0.750213\pi$
$383$	5.05932	−	18.8817i	0.258519	−	0.964807i	0.966099	−	0.258173i	$-0.0831206\pi$
$384$	−1.49476	+	0.875042i	−0.0762791	+	0.0446543i
$385$	−2.00856	−	2.00856i	−0.102366	−	0.102366i
$386$	22.1224	−	12.7724i	1.12600	−	0.650097i
$387$	4.93140	−	8.78406i	0.250677	−	0.446519i
$388$	−1.03271	+	0.276713i	−0.0524278	+	0.0140480i
$389$	−28.7778			−1.45909			−0.729545	−	0.683932i	$-0.760268\pi$
$389$	−28.7778			−1.45909			−0.729545	+	0.683932i	$0.760268\pi$
$390$	−5.89565	+	9.27213i	−0.298538	+	0.469513i
$391$	−14.4808			−0.732326
$392$	0.965926	−	0.258819i	0.0487866	−	0.0130723i
$393$	6.61273	−	1.81462i	0.333568	−	0.0915356i
$394$	−14.1949	+	8.19540i	−0.715126	+	0.412878i
$395$	17.4283	+	17.4283i	0.876913	+	0.876913i
$396$	−4.69306	−	1.19712i	−0.235835	−	0.0601573i
$397$	5.83576	−	21.7793i	0.292888	−	1.09307i	−0.649992	−	0.759941i	$-0.725228\pi$
$397$	5.83576	−	21.7793i	0.292888	−	1.09307i	0.942880	−	0.333133i	$-0.108106\pi$
$398$	−19.0720	+	19.0720i	−0.955992	+	0.955992i
$399$	3.17380	+	0.829966i	0.158889	+	0.0415503i
$400$	−1.64920	−	0.952165i	−0.0824599	−	0.0476082i
$401$	−5.35398	−	19.9813i	−0.267365	−	0.997819i	−0.960787	−	0.277288i	$-0.910565\pi$
$401$	−5.35398	−	19.9813i	−0.267365	−	0.997819i	0.693422	−	0.720532i	$-0.256102\pi$
$402$	9.67901	−	9.79628i	0.482745	−	0.488594i
$403$	−8.57382	+	4.40727i	−0.427092	+	0.219542i
$404$		−	6.36728i		−	0.316784i
$405$	15.1924	−	4.46560i	0.754914	−	0.221897i
$406$	3.31051	−	5.73398i	0.164298	−	0.284573i
$407$	−0.181077	−	0.313634i	−0.00897564	−	0.0155463i
$408$	−0.0542970	−	9.01705i	−0.00268810	−	0.446410i
$409$	19.0110	+	5.09397i	0.940032	+	0.251881i	0.696127	−	0.717918i	$-0.254905\pi$
$409$	19.0110	+	5.09397i	0.940032	+	0.251881i	0.243905	+	0.969799i	$0.421572\pi$
$410$	−0.564577	−	0.151278i	−0.0278825	−	0.00747109i
$411$	−0.0681756	−	11.3219i	−0.00336286	−	0.558466i
$412$	7.20363	+	12.4770i	0.354897	+	0.614700i
$413$	2.93368	−	5.08129i	0.144357	−	0.250034i
$414$	2.25664	+	8.03362i	0.110908	+	0.394831i
$415$		−	0.699012i		−	0.0343131i
$416$	1.95290	−	3.03087i	0.0957487	−	0.148601i
$417$	−16.7935	+	16.9970i	−0.822381	+	0.832345i
$418$	0.791410	+	2.95358i	0.0387092	+	0.144465i
$419$	−24.1460	−	13.9407i	−1.17961	−	0.681049i	−0.223686	−	0.974661i	$-0.571809\pi$
$419$	−24.1460	−	13.9407i	−1.17961	−	0.681049i	−0.955925	+	0.293613i	$0.905142\pi$
$420$	−2.94832	−	0.771001i	−0.143863	−	0.0376210i
$421$	26.3314	−	26.3314i	1.28332	−	1.28332i	0.344547	−	0.938769i	$-0.388033\pi$
$421$	26.3314	−	26.3314i	1.28332	−	1.28332i	0.938769	−	0.344547i	$-0.111967\pi$
$422$	2.93944	−	10.9702i	0.143090	−	0.534019i
$423$	5.82063	−	22.8186i	0.283009	−	1.10948i
$424$	4.50469	+	4.50469i	0.218767	+	0.218767i
$425$	8.58587	−	4.95706i	0.416476	−	0.240453i
$426$	1.37727	−	0.377942i	0.0667290	−	0.0183114i
$427$	−6.79276	+	1.82011i	−0.328725	+	0.0880815i
$428$	8.99524			0.434801
$429$	9.84131	−	2.19076i	0.475143	−	0.105771i
$430$	5.90804			0.284911
$431$	33.0470	−	8.85490i	1.59182	−	0.426526i	0.649258	−	0.760568i	$-0.275080\pi$
$431$	33.0470	−	8.85490i	1.59182	−	0.426526i	0.942558	+	0.334043i	$0.108413\pi$
$432$	−4.99399	+	1.43531i	−0.240273	+	0.0690562i
$433$	29.8360	−	17.2258i	1.43383	−	0.827821i	0.436418	−	0.899744i	$-0.356247\pi$
$433$	29.8360	−	17.2258i	1.43383	−	0.827821i	0.997410	+	0.0719230i	$0.0229136\pi$
$434$	−1.89061	−	1.89061i	−0.0907521	−	0.0907521i
$435$	−17.4130	+	10.1937i	−0.834890	+	0.488750i
$436$	4.23593	−	15.8087i	0.202864	−	0.757100i
$437$	3.72519	−	3.72519i	0.178200	−	0.178200i
$438$	−2.87992	+	11.0129i	−0.137608	+	0.526215i
$439$	4.55462	+	2.62961i	0.217380	+	0.125505i	0.604737	−	0.796425i	$-0.293278\pi$
$439$	4.55462	+	2.62961i	0.217380	+	0.125505i	−0.387356	+	0.921930i	$0.626612\pi$
$440$	−0.735185	−	2.74375i	−0.0350486	−	0.130803i
$441$	2.99978	−	0.0361283i	0.142847	−	0.00172039i
$442$	8.58153	+	16.6943i	0.408182	+	0.794069i
$443$		−	22.6703i		−	1.07710i	−0.842594	−	0.538549i	$-0.818973\pi$
$443$		−	22.6703i		−	1.07710i	0.842594	−	0.538549i	$-0.181027\pi$
$444$	−0.337645	−	0.192238i	−0.0160239	−	0.00912321i
$445$	−7.51901	+	13.0233i	−0.356435	+	0.617364i
$446$	−4.14572	−	7.18060i	−0.196305	−	0.340011i
$447$	−17.8170	+	0.107287i	−0.842714	+	0.00507448i
$448$	0.965926	+	0.258819i	0.0456357	+	0.0122281i
$449$	−27.2761	−	7.30861i	−1.28724	−	0.344914i	−0.450627	−	0.892712i	$-0.648800\pi$
$449$	−27.2761	−	7.30861i	−1.28724	−	0.344914i	−0.836611	+	0.547798i	$0.815466\pi$
$450$	−4.08805	−	3.99075i	−0.192712	−	0.188126i
$451$	0.268161	+	0.464468i	0.0126272	+	0.0218709i
$452$	10.1582	−	17.5944i	0.477799	−	0.827573i
$453$	10.8746	−	19.1001i	0.510935	−	0.897401i
$454$		−	19.6302i		−	0.921293i
$455$	6.20041	−	1.34113i	0.290680	−	0.0628732i
$456$	2.33361	+	2.30567i	0.109281	+	0.107973i
$457$	−1.99897	−	7.46027i	−0.0935081	−	0.348977i	0.903281	−	0.429050i	$-0.141151\pi$
$457$	−1.99897	−	7.46027i	−0.0935081	−	0.348977i	−0.996789	+	0.0800727i	$0.974485\pi$
$458$	7.82733	+	4.51911i	0.365747	+	0.211164i
$459$	6.52834	−	26.2521i	0.304717	−	1.22534i
$460$	−3.46054	+	3.46054i	−0.161348	+	0.161348i
$461$	−8.01540	+	29.9139i	−0.373314	+	1.39323i	0.482478	+	0.875908i	$0.339737\pi$
$461$	−8.01540	+	29.9139i	−0.373314	+	1.39323i	−0.855792	+	0.517320i	$0.826930\pi$
$462$	1.41271	+	2.41320i	0.0657250	+	0.112272i
$463$	0.622176	+	0.622176i	0.0289150	+	0.0289150i	0.721416	−	0.692501i	$-0.243491\pi$
$463$	0.622176	+	0.622176i	0.0289150	+	0.0289150i	−0.692501	+	0.721416i	$0.743491\pi$
$464$	5.73398	−	3.31051i	0.266193	−	0.153687i
$465$	2.15623	+	7.85759i	0.0999927	+	0.364387i
$466$	17.5827	−	4.71128i	0.814504	−	0.218246i
$467$	−18.7500			−0.867648			−0.433824	−	0.900998i	$-0.642836\pi$
$467$	−18.7500			−0.867648			−0.433824	+	0.900998i	$0.642836\pi$
$468$	7.92432	−	7.36242i	0.366302	−	0.340328i
$469$	−7.95090			−0.367138
$470$	13.3407	−	3.57462i	0.615359	−	0.164885i
$471$	11.2787	+	41.1011i	0.519695	+	1.89384i
$472$	5.08129	−	2.93368i	0.233885	−	0.135034i
$473$	−3.83331	−	3.83331i	−0.176256	−	0.176256i
$474$	−12.2580	−	20.9394i	−0.563031	−	0.961777i
$475$	−0.933514	+	3.48392i	−0.0428326	+	0.159853i
$476$	−3.68126	+	3.68126i	−0.168730	+	0.168730i
$477$	9.75452	+	16.4350i	0.446629	+	0.752507i
$478$	−5.33189	−	3.07837i	−0.243875	−	0.140801i
$479$	11.1313	+	41.5425i	0.508601	+	1.89812i	0.434006	+	0.900910i	$0.357100\pi$
$479$	11.1313	+	41.5425i	0.508601	+	1.89812i	0.0745944	+	0.997214i	$0.476234\pi$
$480$	−2.16782	−	2.14186i	−0.0989468	−	0.0977623i
$481$	0.807839	+	0.0394405i	0.0368343	+	0.00179833i
$482$			10.5285i			0.479560i
$483$	2.38370	−	4.18670i	0.108462	−	0.190501i
$484$	4.19679	−	7.26905i	0.190763	−	0.330411i
$485$	−0.940548	−	1.62908i	−0.0427081	−	0.0739726i
$486$	−15.5814	+	0.469260i	−0.706786	+	0.0212861i
$487$	32.6332	+	8.74405i	1.47875	+	0.396231i	0.905923	−	0.423443i	$-0.139179\pi$
$487$	32.6332	+	8.74405i	1.47875	+	0.396231i	0.572831	+	0.819674i	$0.305845\pi$
$488$	−6.79276	−	1.82011i	−0.307494	−	0.0823927i
$489$	31.2684	−	0.188285i	1.41400	−	0.00851456i
$490$	0.879726	+	1.52373i	0.0397420	+	0.0688351i
$491$	14.9710	−	25.9305i	0.675630	−	1.17023i	−0.300654	−	0.953733i	$-0.597205\pi$
$491$	14.9710	−	25.9305i	0.675630	−	1.17023i	0.976284	−	0.216493i	$-0.0694618\pi$
$492$	0.500026	+	0.284690i	0.0225429	+	0.0128348i
$493$			34.4697i			1.55244i
$494$	−6.50223	−	2.08702i	−0.292549	−	0.0938996i
$495$	−0.102624	−	8.52099i	−0.00461259	−	0.382990i
$496$	−0.692011	−	2.58262i	−0.0310722	−	0.115963i
$497$	−0.714094	−	0.412282i	−0.0320315	−	0.0184934i
$498$	−0.174094	+	0.665739i	−0.00780136	+	0.0298325i
$499$	−0.536319	+	0.536319i	−0.0240089	+	0.0240089i	−0.719009	−	0.695000i	$-0.755404\pi$
$499$	−0.536319	+	0.536319i	−0.0240089	+	0.0240089i	0.695000	+	0.719009i	$0.255404\pi$
$500$	3.14409	−	11.7339i	0.140608	−	0.524756i
$501$	−16.2876	+	9.53486i	−0.727675	+	0.425986i
$502$	1.70231	+	1.70231i	0.0759778	+	0.0759778i
$503$	−6.62590	+	3.82546i	−0.295434	+	0.170569i	−0.640390	−	0.768050i	$-0.721227\pi$
$503$	−6.62590	+	3.82546i	−0.295434	+	0.170569i	0.344956	+	0.938619i	$0.387894\pi$
$504$	2.61595	+	1.46860i	0.116524	+	0.0654168i
$505$	10.8212	−	2.89953i	0.481537	−	0.129027i
$506$	4.49060			0.199631
$507$	−7.79162	+	21.1256i	−0.346038	+	0.938220i
$508$	0.161915			0.00718384
$509$	−15.4835	+	4.14878i	−0.686293	+	0.183892i	−0.585083	−	0.810973i	$-0.698938\pi$
$509$	−15.4835	+	4.14878i	−0.686293	+	0.183892i	−0.101210	+	0.994865i	$0.532271\pi$
$510$	15.2997	−	4.19846i	0.677484	−	0.185911i
$511$	5.69159	−	3.28604i	0.251781	−	0.145366i
$512$	0.707107	+	0.707107i	0.0312500	+	0.0312500i
$513$	5.07394	+	8.43277i	0.224020	+	0.372316i
$514$	4.01134	−	14.9705i	0.176933	−	0.660321i
$515$	−17.9244	+	17.9244i	−0.789842	+	0.789842i
$516$	−5.62681	−	1.47144i	−0.247707	−	0.0647767i
$517$	−10.9751	−	6.33650i	−0.482686	−	0.278679i
$518$	0.0580585	+	0.216677i	0.00255095	+	0.00952026i
$519$	−28.4206	+	28.7649i	−1.24753	+	1.26264i
$520$	6.04028	+	1.93875i	0.264884	+	0.0850198i
$521$		−	20.2713i		−	0.888104i	−0.896001	−	0.444052i	$-0.853541\pi$
$521$		−	20.2713i		−	0.888104i	0.896001	−	0.444052i	$-0.146459\pi$
$522$	19.1230	−	5.37163i	0.836989	−	0.235110i
$523$	−6.52266	+	11.2976i	−0.285216	+	0.494008i	−0.972662	−	0.232227i	$-0.925399\pi$
$523$	−6.52266	+	11.2976i	−0.285216	+	0.494008i	0.687446	+	0.726236i	$0.258732\pi$
$524$	−1.97950	−	3.42860i	−0.0864749	−	0.149779i
$525$	0.0198612	+	3.29834i	0.000866816	+	0.143951i
$526$	1.78547	+	0.478416i	0.0778503	+	0.0208599i
$527$	13.4453	+	3.60267i	0.585689	+	0.156935i
$528$	0.0168379	+	2.79625i	0.000732775	+	0.121691i
$529$	7.63159	+	13.2183i	0.331808	+	0.574709i
$530$	−5.60438	+	9.70706i	−0.243439	+	0.421648i
$531$	16.9462	−	4.76018i	0.735404	−	0.206574i
$532$		−	1.89401i		−	0.0821158i
$533$	−1.19635	−	0.0584084i	−0.0518195	−	0.00252995i
$534$	10.4047	−	10.5307i	0.450254	−	0.455709i
$535$	4.09625	+	15.2874i	0.177096	+	0.660932i
$536$	−6.88568	−	3.97545i	−0.297416	−	0.171713i
$537$	13.6686	+	3.57441i	0.589843	+	0.154247i
$538$	−14.0971	+	14.0971i	−0.607767	+	0.607767i
$539$	0.417849	−	1.55943i	0.0179980	−	0.0671695i
$540$	−4.71346	−	7.83367i	−0.202835	−	0.337107i
$541$	27.1532	+	27.1532i	1.16741	+	1.16741i	0.982815	+	0.184594i	$0.0590971\pi$
$541$	27.1532	+	27.1532i	1.16741	+	1.16741i	0.184594	+	0.982815i	$0.440903\pi$
$542$	20.0005	−	11.5473i	0.859095	−	0.495999i
$543$	29.0857	−	7.98150i	1.24818	−	0.342519i
$544$	−5.02870	+	1.34744i	−0.215604	+	0.0577708i
$545$	28.7959			1.23348
$546$	−6.23929	−	0.266967i	−0.267017	−	0.0114251i
$547$	−21.9208			−0.937265			−0.468632	−	0.883393i	$-0.655253\pi$
$547$	−21.9208			−0.937265			−0.468632	+	0.883393i	$0.655253\pi$
$548$	−6.31406	+	1.69185i	−0.269723	+	0.0722721i
$549$	−18.3964	−	10.3278i	−0.785138	−	0.440779i
$550$	−2.66254	+	1.53722i	−0.113531	+	0.0655471i
$551$	−8.86733	−	8.86733i	−0.377761	−	0.377761i
$552$	4.15769	−	2.43394i	0.176963	−	0.103595i
$553$	−3.62567	+	13.5312i	−0.154179	+	0.575405i
$554$	2.88860	−	2.88860i	0.122725	−	0.122725i
$555$	0.172952	−	0.661369i	0.00734139	−	0.0280736i
$556$	11.9470	+	6.89758i	0.506664	+	0.292522i
$557$	2.79836	+	10.4436i	0.118570	+	0.442510i	0.999529	−	0.0306824i	$-0.00976805\pi$
$557$	2.79836	+	10.4436i	0.118570	+	0.442510i	−0.880959	+	0.473193i	$0.843101\pi$
$558$	−0.0965970	−	8.02059i	−0.00408928	−	0.339539i
$559$	11.8334	−	2.55953i	0.500499	−	0.108257i
$560$			1.75945i			0.0743504i
$561$	−12.6510	−	7.20284i	−0.534126	−	0.304104i
$562$	−10.3543	+	17.9342i	−0.436771	+	0.756510i
$563$	−19.7857	−	34.2698i	−0.833867	−	1.44430i	−0.894950	−	0.446166i	$-0.852789\pi$
$563$	−19.7857	−	34.2698i	−0.833867	−	1.44430i	0.0610835	−	0.998133i	$-0.480544\pi$
$564$	−13.5959	+	0.0818693i	−0.572493	+	0.00344732i
$565$	34.5276	+	9.25163i	1.45259	+	0.389219i
$566$	−12.6859	−	3.39919i	−0.533230	−	0.142879i
$567$	6.51538	+	6.20885i	0.273620	+	0.260747i
$568$	−0.412282	−	0.714094i	−0.0172990	−	0.0299627i
$569$	−14.3841	+	24.9139i	−0.603011	+	1.04445i	0.389352	+	0.921089i	$0.372699\pi$
$569$	−14.3841	+	24.9139i	−0.603011	+	1.04445i	−0.992362	+	0.123356i	$0.960634\pi$
$570$	−2.85581	+	5.01592i	−0.119617	+	0.210094i
$571$		−	20.2057i		−	0.845582i	−0.906227	−	0.422791i	$-0.861050\pi$
$571$		−	20.2057i		−	0.845582i	0.906227	−	0.422791i	$-0.138950\pi$
$572$	−2.66119	−	5.17703i	−0.111270	−	0.216462i
$573$	−22.7555	−	22.4831i	−0.950624	−	0.939244i
$574$	−0.0859802	−	0.320883i	−0.00358874	−	0.0133934i
$575$	4.58727	+	2.64846i	0.191302	+	0.110448i
$576$	1.53118	+	2.57982i	0.0637991	+	0.107493i
$577$	−7.03204	+	7.03204i	−0.292748	+	0.292748i	−0.838165	−	0.545417i	$-0.816371\pi$
$577$	−7.03204	+	7.03204i	−0.292748	+	0.292748i	0.545417	+	0.838165i	$0.316371\pi$
$578$	2.61494	−	9.75911i	0.108767	−	0.405925i
$579$	−22.3527	−	38.1832i	−0.928948	−	1.58684i
$580$	8.23735	+	8.23735i	0.342038	+	0.342038i
$581$	0.344063	−	0.198645i	0.0142741	−	0.00824117i
$582$	0.490043	+	1.78578i	0.0203129	+	0.0740231i
$583$	9.93451	−	2.66194i	0.411445	−	0.110246i
$584$	6.57209			0.271955
$585$	16.1210	+	10.1147i	0.666521	+	0.418190i
$586$	14.8840			0.614851
$587$	−9.19776	+	2.46453i	−0.379632	+	0.101722i	−0.443588	−	0.896231i	$-0.646295\pi$
$587$	−9.19776	+	2.46453i	−0.379632	+	0.101722i	0.0639564	+	0.997953i	$0.479628\pi$
$588$	−0.458354	−	1.67030i	−0.0189022	−	0.0688821i
$589$	−4.38561	+	2.53203i	−0.180706	+	0.104331i
$590$	7.29971	+	7.29971i	0.300524	+	0.300524i
$591$	14.3426	+	24.5003i	0.589977	+	1.00781i
$592$	−0.0580585	+	0.216677i	−0.00238619	+	0.00890539i
$593$	−28.7125	+	28.7125i	−1.17908	+	1.17908i	−0.199103	+	0.979979i	$0.563803\pi$
$593$	−28.7125	+	28.7125i	−1.17908	+	1.17908i	−0.979979	+	0.199103i	$0.936197\pi$
$594$	−2.02448	+	8.14095i	−0.0830655	+	0.334027i
$595$	−7.93267	−	4.57993i	−0.325208	−	0.187759i
$596$	2.66242	+	9.93630i	0.109057	+	0.407007i
$597$	33.2320	+	32.8341i	1.36009	+	1.34381i
$598$	−5.43201	+	8.43042i	−0.222131	+	0.344745i
$599$		−	12.7087i		−	0.519262i	−0.965708	−	0.259631i	$-0.916399\pi$
$599$		−	12.7087i		−	0.519262i	0.965708	−	0.259631i	$-0.0836009\pi$
$600$	−1.63197	+	2.86637i	−0.0666248	+	0.117019i
$601$	−21.8695	+	37.8791i	−0.892076	+	1.54512i	−0.0546932	+	0.998503i	$0.517418\pi$
$601$	−21.8695	+	37.8791i	−0.892076	+	1.54512i	−0.837383	+	0.546617i	$0.815915\pi$
$602$	1.67894	+	2.90801i	0.0684286	+	0.118522i
$603$	−17.0683	−	16.6621i	−0.695075	−	0.678532i
$604$	−12.2571	−	3.28429i	−0.498736	−	0.133636i
$605$	14.2649	+	3.82226i	0.579950	+	0.155397i
$606$	−11.0283	+	0.0664077i	−0.447992	+	0.00269763i
$607$	7.80137	+	13.5124i	0.316648	+	0.548450i	0.979786	−	0.200046i	$-0.0641093\pi$
$607$	7.80137	+	13.5124i	0.316648	+	0.548450i	−0.663138	+	0.748497i	$0.730776\pi$
$608$	0.947006	−	1.64026i	0.0384062	−	0.0665214i
$609$	−9.96589	−	5.67407i	−0.403838	−	0.229925i
$610$		−	12.3731i		−	0.500974i
$611$	25.1718	−	12.9393i	1.01834	−	0.523467i
$612$	−15.6171	+	0.188087i	−0.631285	+	0.00760297i
$613$	−1.31773	−	4.91783i	−0.0532226	−	0.198629i	0.934195	−	0.356762i	$-0.116119\pi$
$613$	−1.31773	−	4.91783i	−0.0532226	−	0.198629i	−0.987418	+	0.158133i	$0.949453\pi$
$614$	−2.66021	−	1.53587i	−0.107357	−	0.0619828i
$615$	−0.256128	+	0.979437i	−0.0103281	+	0.0394947i
$616$	1.14158	−	1.14158i	0.0459957	−	0.0459957i
$617$	7.52415	−	28.0805i	0.302911	−	1.13048i	−0.631818	−	0.775117i	$-0.717691\pi$
$617$	7.52415	−	28.0805i	0.302911	−	1.13048i	0.934729	−	0.355362i	$-0.115642\pi$
$618$	21.5354	−	12.6070i	0.866279	−	0.507126i
$619$	−31.8626	−	31.8626i	−1.28067	−	1.28067i	−0.940289	−	0.340377i	$-0.889445\pi$
$619$	−31.8626	−	31.8626i	−1.28067	−	1.28067i	−0.340377	−	0.940289i	$-0.610555\pi$
$620$	4.07403	−	2.35214i	0.163617	−	0.0944644i
$621$	13.8908	−	3.99233i	0.557420	−	0.160207i
$622$	18.2759	−	4.89700i	0.732795	−	0.196352i
$623$	−8.54699			−0.342428
$624$	−5.26990	−	3.35085i	−0.210965	−	0.134141i
$625$	11.8519			0.474075
$626$	11.1490	−	2.98736i	0.445603	−	0.119399i
$627$	5.10741	−	1.40154i	0.203970	−	0.0559722i
$628$	21.3103	−	12.3035i	0.850373	−	0.490963i
$629$	−0.825784	−	0.825784i	−0.0329262	−	0.0329262i
$630$	−1.30464	+	5.11458i	−0.0519781	+	0.203770i
$631$	−5.27099	+	19.6716i	−0.209835	+	0.783114i	0.778086	+	0.628157i	$0.216191\pi$
$631$	−5.27099	+	19.6716i	−0.209835	+	0.783114i	−0.987921	+	0.154957i	$0.950476\pi$
$632$	−9.90553	+	9.90553i	−0.394021	+	0.394021i
$633$	−19.0312	−	4.97676i	−0.756421	−	0.197808i
$634$	−9.97933	−	5.76157i	−0.396330	−	0.228821i
$635$	0.0737330	+	0.275175i	0.00292601	+	0.0109200i
$636$	7.75523	−	7.84919i	0.307515	−	0.311241i
$637$	2.42215	+	2.67080i	0.0959692	+	0.105821i
$638$		−	10.6893i		−	0.423193i
$639$	−0.668967	−	2.38152i	−0.0264639	−	0.0942115i
$640$	−0.879726	+	1.52373i	−0.0347742	+	0.0602307i
$641$	4.09868	+	7.09912i	0.161888	+	0.280398i	0.935546	−	0.353205i	$-0.114908\pi$
$641$	4.09868	+	7.09912i	0.161888	+	0.280398i	−0.773658	+	0.633604i	$0.781575\pi$
$642$	−0.0938161	−	15.5799i	−0.00370262	−	0.614891i
$643$	−32.3604	−	8.67094i	−1.27617	−	0.341948i	−0.443777	−	0.896137i	$-0.646362\pi$
$643$	−32.3604	−	8.67094i	−1.27617	−	0.341948i	−0.832391	+	0.554189i	$0.813029\pi$
$644$	−2.68674	−	0.719909i	−0.105872	−	0.0283684i
$645$	−0.0616180	−	10.2328i	−0.00242621	−	0.402917i
$646$	4.93020	+	8.53935i	0.193976	+	0.335976i
$647$	4.25423	−	7.36854i	0.167251	−	0.289687i	−0.770201	−	0.637801i	$-0.779844\pi$
$647$	4.25423	−	7.36854i	0.167251	−	0.289687i	0.937452	+	0.348114i	$0.113178\pi$
$648$	2.53806	+	8.63471i	0.0997046	+	0.339203i
$649$		−	9.47253i		−	0.371829i
$650$	0.334823	−	6.85799i	0.0131328	−	0.268992i
$651$	−3.25485	+	3.29429i	−0.127568	+	0.129113i
$652$	−4.67249	−	17.4380i	−0.182989	−	0.682924i
$653$	28.2611	+	16.3165i	1.10594	+	0.638515i	0.937775	−	0.347243i	$-0.112882\pi$
$653$	28.2611	+	16.3165i	1.10594	+	0.638515i	0.168166	+	0.985759i	$0.446216\pi$
$654$	−27.4252	−	7.17184i	−1.07241	−	0.280441i
$655$	4.92547	−	4.92547i	0.192454	−	0.192454i
$656$	0.0859802	−	0.320883i	0.00335696	−	0.0125284i
$657$	19.1045	+	4.87323i	0.745338	+	0.190123i
$658$	5.55062	+	5.55062i	0.216386	+	0.216386i
$659$	−10.4010	+	6.00501i	−0.405164	+	0.233922i	−0.688710	−	0.725037i	$-0.741823\pi$
$659$	−10.4010	+	6.00501i	−0.405164	+	0.233922i	0.283545	+	0.958959i	$0.408489\pi$
$660$	−4.74456	+	1.30197i	−0.184682	+	0.0506791i
$661$	−42.5188	+	11.3929i	−1.65379	+	0.443131i	−0.960670	−	0.277692i	$-0.910430\pi$
$661$	−42.5188	+	11.3929i	−1.65379	+	0.443131i	−0.693118	+	0.720824i	$0.743764\pi$
$662$	12.4827			0.485156
$663$	28.8254	−	15.0375i	1.11949	−	0.584008i
$664$	0.397289			0.0154178
$665$	3.21887	−	0.862494i	0.124823	−	0.0334461i
$666$	−0.329439	+	0.586813i	−0.0127655	+	0.0227385i
$667$	−15.9491	+	9.20824i	−0.617553	+	0.356545i
$668$	7.70496	+	7.70496i	0.298114	+	0.298114i
$669$	−12.3937	+	7.25536i	−0.479168	+	0.280508i
$670$	3.62068	−	13.5126i	0.139879	−	0.522035i
$671$	−8.02806	+	8.02806i	−0.309920	+	0.309920i
$672$	0.438205	−	1.67570i	0.0169041	−	0.0646416i
$673$	−11.9588	−	6.90441i	−0.460978	−	0.266146i	0.251478	−	0.967863i	$-0.419084\pi$
$673$	−11.9588	−	6.90441i	−0.460978	−	0.266146i	−0.712455	+	0.701718i	$0.752417\pi$
$674$	−0.574150	−	2.14276i	−0.0221154	−	0.0825359i
$675$	−6.86942	+	7.12220i	−0.264404	+	0.274134i
$676$	12.9382	+	1.26636i	0.497622	+	0.0487062i
$677$			19.8697i			0.763655i	0.924234	+	0.381828i	$0.124705\pi$
$677$			19.8697i			0.763655i	−0.924234	+	0.381828i	$0.875295\pi$
$678$	−30.5799	−	17.4106i	−1.17441	−	0.668651i
$679$	0.534569	−	0.925900i	0.0205149	−	0.0355328i
$680$	−4.57993	−	7.93267i	−0.175632	−	0.304204i
$681$	−33.9999	+	0.204734i	−1.30288	+	0.00784542i
$682$	−4.16949	−	1.11721i	−0.159658	−	0.0427803i
$683$	16.3364	+	4.37732i	0.625094	+	0.167494i	0.557443	−	0.830215i	$-0.311783\pi$
$683$	16.3364	+	4.37732i	0.625094	+	0.167494i	0.0676518	+	0.997709i	$0.478449\pi$
$684$	3.96913	−	4.06590i	0.151763	−	0.155464i
$685$	−5.75059	−	9.96031i	−0.219719	−	0.380564i
$686$	−0.500000	+	0.866025i	−0.0190901	+	0.0330650i
$687$	7.74555	−	13.6042i	0.295511	−	0.519033i
$688$			3.35788i			0.128018i
$689$	−7.01979	+	21.8705i	−0.267433	+	0.833201i
$690$	6.02981	+	5.95763i	0.229551	+	0.226803i
$691$	−6.88713	−	25.7031i	−0.261999	−	0.977792i	−0.964062	−	0.265678i	$-0.914404\pi$
$691$	−6.88713	−	25.7031i	−0.261999	−	0.977792i	0.702063	−	0.712115i	$-0.252262\pi$
$692$	20.2185	+	11.6732i	0.768592	+	0.443747i
$693$	4.16498	−	2.47200i	0.158215	−	0.0939036i
$694$	−15.3335	+	15.3335i	−0.582051	+	0.582051i
$695$	−6.28203	+	23.4449i	−0.238291	+	0.889314i
$696$	−5.79368	−	9.89683i	−0.219609	−	0.375139i
$697$	1.22292	+	1.22292i	0.0463215	+	0.0463215i
$698$	−13.5007	+	7.79465i	−0.511010	+	0.295032i
$699$	−8.34341	−	30.4045i	−0.315577	−	1.15000i
$700$	1.83944	−	0.492877i	0.0695243	−	0.0186290i
$701$	−21.3019			−0.804562			−0.402281	−	0.915516i	$-0.631783\pi$
$701$	−21.3019			−0.804562			−0.402281	+	0.915516i	$0.631783\pi$
$702$	−12.8345	−	13.6483i	−0.484407	−	0.515121i
$703$	0.424867			0.0160241
$704$	1.55943	−	0.417849i	0.0587733	−	0.0157483i
$705$	−6.33045	−	23.0690i	−0.238419	−	0.868830i
$706$	6.03543	−	3.48456i	0.227147	−	0.131143i
$707$	4.50235	+	4.50235i	0.169328	+	0.169328i
$708$	−5.13419	−	8.77029i	−0.192955	−	0.329608i
$709$	5.59128	−	20.8670i	0.209985	−	0.783675i	−0.777887	−	0.628404i	$-0.783708\pi$
$709$	5.59128	−	20.8670i	0.209985	−	0.783675i	0.987872	−	0.155271i	$-0.0496249\pi$
$710$	1.02586	−	1.02586i	0.0384997	−	0.0384997i
$711$	−36.1395	+	21.4496i	−1.35534	+	0.804422i
$712$	−7.40191	−	4.27349i	−0.277398	−	0.160156i
$713$	1.92484	+	7.18359i	0.0720857	+	0.269028i
$714$	6.41441	+	6.33762i	0.240053	+	0.237180i
$715$	7.58651	−	6.88021i	0.283719	−	0.257305i
$716$		−	8.15694i		−	0.304839i
$717$	−5.27619	+	9.26705i	−0.197043	+	0.346084i
$718$	8.46509	−	14.6620i	0.315914	−	0.547180i
$719$	−8.47563	−	14.6802i	−0.316088	−	0.547480i	0.663580	−	0.748105i	$-0.269036\pi$
$719$	−8.47563	−	14.6802i	−0.316088	−	0.547480i	−0.979668	+	0.200625i	$0.935703\pi$
$720$	−3.68714	+	3.77704i	−0.137412	+	0.140762i
$721$	−13.9163	−	3.72887i	−0.518272	−	0.138870i
$722$	14.8875	+	3.98911i	0.554057	+	0.148459i
$723$	18.2356	−	0.109807i	0.678188	−	0.00408378i
$724$	−8.70670	−	15.0804i	−0.323582	−	0.560460i
$725$	6.30431	−	10.9194i	0.234136	−	0.405536i
$726$	−12.6339	−	7.19310i	−0.468888	−	0.266961i
$727$		−	19.6491i		−	0.728744i	−0.931253	−	0.364372i	$-0.881284\pi$
$727$		−	19.6491i		−	0.728744i	0.931253	−	0.364372i	$-0.118716\pi$
$728$	0.762244	+	3.52406i	0.0282507	+	0.130610i
$729$	0.975275	+	26.9824i	0.0361213	+	0.999347i
$730$	2.99279	+	11.1693i	0.110768	+	0.413393i
$731$	−15.1394	−	8.74072i	−0.559950	−	0.323287i
$732$	−3.08163	+	11.7842i	−0.113900	+	0.435556i
$733$	13.9036	−	13.9036i	0.513543	−	0.513543i	−0.402068	−	0.915610i	$-0.631708\pi$
$733$	13.9036	−	13.9036i	0.513543	−	0.513543i	0.915610	+	0.402068i	$0.131708\pi$
$734$	7.24001	−	27.0201i	0.267234	−	0.997330i
$735$	2.62995	−	1.53959i	0.0970073	−	0.0567888i
$736$	−1.96683	−	1.96683i	−0.0724982	−	0.0724982i
$737$	−11.1165	+	6.41814i	−0.409483	+	0.236415i
$738$	0.487873	−	0.869025i	0.0179589	−	0.0319892i
$739$	11.4635	−	3.07163i	0.421691	−	0.112992i	−0.0417322	−	0.999129i	$-0.513288\pi$
$739$	11.4635	−	3.07163i	0.421691	−	0.112992i	0.463423	+	0.886137i	$0.346621\pi$
$740$	−0.394682			−0.0145088
$741$	−3.54695	+	11.2838i	−0.130300	+	0.414519i
$742$	−6.37059			−0.233872
$743$	−7.78184	+	2.08514i	−0.285488	+	0.0764963i	−0.398721	−	0.917072i	$-0.630546\pi$
$743$	−7.78184	+	2.08514i	−0.285488	+	0.0764963i	0.113233	+	0.993568i	$0.463879\pi$
$744$	−4.46593	+	1.22551i	−0.163729	+	0.0449294i
$745$	−15.6743	+	9.04958i	−0.574263	+	0.331551i
$746$	19.0843	+	19.0843i	0.698727	+	0.698727i
$747$	1.15489	+	0.294592i	0.0422551	+	0.0107785i
$748$	−2.17536	+	8.11855i	−0.0795390	+	0.296844i
$749$	−6.36060	+	6.36060i	−0.232411	+	0.232411i
$750$	−20.3561	−	5.32325i	−0.743301	−	0.194378i
$751$	18.2097	+	10.5134i	0.664480	+	0.383638i	0.793982	−	0.607941i	$-0.208004\pi$
$751$	18.2097	+	10.5134i	0.664480	+	0.383638i	−0.129502	+	0.991579i	$0.541338\pi$
$752$	2.03167	+	7.58229i	0.0740873	+	0.276498i
$753$	2.93068	−	2.96619i	0.106800	−	0.108094i
$754$	20.0675	+	12.9302i	0.730815	+	0.470890i
$755$		−	22.3266i		−	0.812548i
$756$	2.51637	−	4.54620i	0.0915194	−	0.165344i
$757$	−7.48018	+	12.9561i	−0.271872	+	0.470896i	−0.969341	−	0.245719i	$-0.920976\pi$
$757$	−7.48018	+	12.9561i	−0.271872	+	0.470896i	0.697469	+	0.716615i	$0.254309\pi$
$758$	18.2581	+	31.6239i	0.663164	+	1.14863i
$759$	−0.0468348	−	7.77780i	−0.00170000	−	0.282316i
$760$	3.21887	+	0.862494i	0.116761	+	0.0312860i
$761$	−1.98329	−	0.531420i	−0.0718941	−	0.0192640i	0.222693	−	0.974889i	$-0.428515\pi$
$761$	−1.98329	−	0.531420i	−0.0718941	−	0.0192640i	−0.294587	+	0.955625i	$0.595182\pi$
$762$	−0.00168870	−	0.280441i	−6.11752e−5	−	0.0101593i
$763$	8.18319	+	14.1737i	0.296251	+	0.513123i
$764$	−9.23445	+	15.9945i	−0.334091	+	0.578662i
$765$	−7.43138	−	26.4557i	−0.268682	−	0.956507i
$766$			19.5477i			0.706288i
$767$	17.7832	+	11.4584i	0.642116	+	0.413737i
$768$	1.21735	−	1.23210i	0.0439273	−	0.0444595i
$769$	−4.55534	−	17.0007i	−0.164270	−	0.613063i	−0.998132	−	0.0610905i	$-0.980542\pi$
$769$	−4.55534	−	17.0007i	−0.164270	−	0.613063i	0.833863	−	0.551972i	$-0.186124\pi$
$770$	2.45998	+	1.42027i	0.0886514	+	0.0511829i
$771$	−25.9711	−	6.79158i	−0.935325	−	0.244593i
$772$	−18.0629	+	18.0629i	−0.650097	+	0.650097i
$773$	−0.342643	+	1.27876i	−0.0123240	+	0.0459938i	−0.971814	−	0.235749i	$-0.924246\pi$
$773$	−0.342643	+	1.27876i	−0.0123240	+	0.0459938i	0.959490	+	0.281743i	$0.0909124\pi$
$774$	−2.48988	+	9.76110i	−0.0894970	+	0.350855i
$775$	−3.60034	−	3.60034i	−0.129328	−	0.129328i
$776$	0.925900	−	0.534569i	0.0332379	−	0.0191899i
$777$	0.374684	−	0.102818i	0.0134417	−	0.00368859i
$778$	27.7972	−	7.44824i	0.996578	−	0.267032i
$779$	−0.629195			−0.0225432
$780$	3.29496	−	10.4821i	0.117978	−	0.375319i
$781$	−1.33121			−0.0476345
$782$	13.9874	−	3.74791i	0.500188	−	0.134025i
$783$	−9.50320	−	33.0653i	−0.339617	−	1.18166i
$784$	−0.866025	+	0.500000i	−0.0309295	+	0.0178571i
$785$	30.6141	+	30.6141i	1.09266	+	1.09266i
$786$	−5.91775	+	3.46429i	−0.211079	+	0.123567i
$787$	−1.44325	+	5.38627i	−0.0514462	+	0.192000i	−0.986867	−	0.161538i	$-0.948355\pi$
$787$	−1.44325	+	5.38627i	−0.0514462	+	0.192000i	0.935420	+	0.353537i	$0.115021\pi$
$788$	11.5900	−	11.5900i	0.412878	−	0.412878i
$789$	0.810004	−	3.09746i	0.0288369	−	0.110273i
$790$	−21.3452	−	12.3237i	−0.759429	−	0.438456i
$791$	5.25825	+	19.6240i	0.186962	+	0.697751i
$792$	4.84298	−	0.0583271i	0.172088	−	0.00207256i
$793$	−5.36039	−	24.7825i	−0.190353	−	0.880053i
$794$			22.5476i			0.800186i
$795$	16.8713	+	9.60565i	0.598362	+	0.340677i
$796$	13.4859	−	23.3583i	0.477996	−	0.827914i
$797$	22.0873	+	38.2563i	0.782372	+	1.35511i	0.930557	+	0.366148i	$0.119324\pi$
$797$	22.0873	+	38.2563i	0.782372	+	1.35511i	−0.148185	+	0.988960i	$0.547343\pi$
$798$	−3.28046	+	0.0197536i	−0.116127	+	0.000699271i
$799$	−39.4741	−	10.5771i	−1.39649	−	0.374189i
$800$	1.83944	+	0.492877i	0.0650341	+	0.0174258i
$801$	−18.3479	−	17.9112i	−0.648292	−	0.632863i
$802$	10.3431	+	17.9148i	0.365227	+	0.632592i
$803$	5.30513	−	9.18876i	0.187214	−	0.324264i
$804$	−6.81374	+	11.9676i	−0.240302	+	0.422065i
$805$		−	4.89394i		−	0.172489i
$806$	7.14099	−	6.47617i	0.251531	−	0.228113i
$807$	24.5634	+	24.2694i	0.864673	+	0.854322i
$808$	1.64797	+	6.15032i	0.0579755	+	0.216368i
$809$	19.3656	+	11.1807i	0.680859	+	0.393094i	0.800178	−	0.599762i	$-0.204738\pi$
$809$	19.3656	+	11.1807i	0.680859	+	0.393094i	−0.119320	+	0.992856i	$0.538071\pi$
$810$	−13.5189	+	8.24551i	−0.475006	+	0.289718i
$811$	7.47548	−	7.47548i	0.262499	−	0.262499i	−0.563569	−	0.826069i	$-0.690572\pi$
$811$	7.47548	−	7.47548i	0.262499	−	0.262499i	0.826069	+	0.563569i	$0.190572\pi$
$812$	−1.71365	+	6.39542i	−0.0601373	+	0.224435i
$813$	−20.2087	−	34.5208i	−0.708751	−	1.21070i
$814$	0.256081	+	0.256081i	0.00897564	+	0.00897564i
$815$	27.5081	−	15.8818i	0.963566	−	0.556315i
$816$	2.38623	+	8.69575i	0.0835348	+	0.304412i
$817$	6.14316	−	1.64606i	0.214922	−	0.0575882i
$818$	−19.6816			−0.688151
$819$	−0.397320	+	10.8094i	−0.0138835	+	0.377709i
$820$	0.584493			0.0204114
$821$	−41.1182	+	11.0176i	−1.43504	+	0.384517i	−0.890792	−	0.454411i	$-0.849850\pi$
$821$	−41.1182	+	11.0176i	−1.43504	+	0.384517i	−0.544243	+	0.838927i	$0.683183\pi$
$822$	2.99616	+	10.9184i	0.104503	+	0.380824i
$823$	−36.5943	+	21.1277i	−1.27560	+	0.736467i	−0.976036	−	0.217610i	$-0.930174\pi$
$823$	−36.5943	+	21.1277i	−1.27560	+	0.736467i	−0.299562	+	0.954077i	$0.596841\pi$
$824$	−10.1875	−	10.1875i	−0.354897	−	0.354897i
$825$	2.69026	+	4.59553i	0.0936628	+	0.159996i
$826$	−1.51859	+	5.66744i	−0.0528384	+	0.197195i
$827$	6.38547	−	6.38547i	0.222045	−	0.222045i	−0.587314	−	0.809359i	$-0.699815\pi$
$827$	6.38547	−	6.38547i	0.222045	−	0.222045i	0.809359	+	0.587314i	$0.199815\pi$
$828$	−4.25900	−	7.17582i	−0.148010	−	0.249377i
$829$	26.6308	+	15.3753i	0.924927	+	0.534007i	0.885204	−	0.465204i	$-0.154019\pi$
$829$	26.6308	+	15.3753i	0.924927	+	0.534007i	0.0397238	+	0.999211i	$0.487352\pi$
$830$	0.180918	+	0.675193i	0.00627974	+	0.0234363i
$831$	−5.03324	−	4.97299i	−0.174601	−	0.172511i
$832$	−1.10191	+	3.43305i	−0.0382017	+	0.119019i
$833$		−	5.20609i		−	0.180380i
$834$	11.8221	−	20.7643i	0.409367	−	0.719009i
$835$	−9.58590	+	16.6033i	−0.331734	+	0.574580i
$836$	−1.52889	−	2.64811i	−0.0528777	−	0.0915868i
$837$	−13.8908	+	0.250959i	−0.480137	+	0.00867441i
$838$	26.9314	+	7.21625i	0.930330	+	0.249281i
$839$	14.7657	+	3.95645i	0.509768	+	0.136592i	0.504530	−	0.863394i	$-0.331666\pi$
$839$	14.7657	+	3.95645i	0.509768	+	0.136592i	0.00523831	+	0.999986i	$0.498333\pi$
$840$	3.04740	−	0.0183502i	0.105145	−	0.000633143i
$841$	7.41900	+	12.8501i	0.255828	+	0.443106i
$842$	−18.6191	+	32.2493i	−0.641658	+	1.11138i
$843$	31.1704	+	17.7469i	1.07357	+	0.611234i
$844$			11.3571i			0.390929i
$845$	3.73960	+	22.5651i	0.128646	+	0.776263i
$846$	0.283598	+	23.5476i	0.00975032	+	0.809583i
$847$	2.17242	+	8.10757i	0.0746451	+	0.278579i
$848$	−5.51710	−	3.18530i	−0.189458	−	0.109384i
$849$	−5.75515	+	22.0078i	−0.197516	+	0.755304i
$850$	−7.01033	+	7.01033i	−0.240453	+	0.240453i
$851$	0.161491	−	0.602691i	0.00553583	−	0.0206600i
$852$	−1.23252	+	0.721528i	−0.0422256	+	0.0247192i
$853$	6.01348	+	6.01348i	0.205897	+	0.205897i	0.802521	−	0.596624i	$-0.203491\pi$
$853$	6.01348	+	6.01348i	0.205897	+	0.205897i	−0.596624	+	0.802521i	$0.703491\pi$
$854$	6.09022	−	3.51619i	0.208403	−	0.120322i
$855$	8.71746	+	4.89401i	0.298131	+	0.167371i
$856$	−8.68873	+	2.32814i	−0.296975	+	0.0795742i
$857$	26.8673			0.917771			0.458885	−	0.888495i	$-0.348249\pi$
$857$	26.8673			0.917771			0.458885	+	0.888495i	$0.348249\pi$
$858$	−8.93896	+	4.66323i	−0.305171	+	0.159200i
$859$	−45.3688			−1.54796			−0.773981	−	0.633209i	$-0.781738\pi$
$859$	−45.3688			−1.54796			−0.773981	+	0.633209i	$0.781738\pi$
$860$	−5.70672	+	1.52911i	−0.194598	+	0.0521423i
$861$	−0.554878	+	0.152266i	−0.0189102	+	0.00518921i
$862$	−29.6291	+	17.1064i	−1.00917	+	0.582645i
$863$	3.58075	+	3.58075i	0.121890	+	0.121890i	0.765420	−	0.643530i	$-0.222531\pi$
$863$	3.58075	+	3.58075i	0.121890	+	0.121890i	−0.643530	+	0.765420i	$0.722531\pi$
$864$	4.45234	−	2.67894i	0.151472	−	0.0911393i
$865$	−10.6314	+	39.6771i	−0.361480	+	1.34906i
$866$	−24.3610	+	24.3610i	−0.827821	+	0.827821i
$867$	−16.9302	−	4.42735i	−0.574981	−	0.150361i
$868$	2.31551	+	1.33686i	0.0785936	+	0.0453761i
$869$	5.85345	+	21.8454i	0.198565	+	0.741053i
$870$	14.1813	−	14.3532i	0.480793	−	0.486618i
$871$	1.39794	−	28.6333i	0.0473674	−	0.970201i
$872$			16.3664i			0.554236i
$873$	3.08790	−	0.867389i	0.104510	−	0.0293567i
$874$	−2.63411	+	4.56241i	−0.0891001	+	0.154326i
$875$	6.07392	+	10.5203i	0.205336	+	0.355652i
$876$	−0.0685437	−	11.3830i	−0.00231588	−	0.384595i
$877$	40.0765	+	10.7385i	1.35329	+	0.362613i	0.861348	−	0.508016i	$-0.169621\pi$
$877$	40.0765	+	10.7385i	1.35329	+	0.362613i	0.491941	+	0.870629i	$0.336288\pi$
$878$	−5.08002	−	1.36119i	−0.171442	−	0.0459379i
$879$	−0.155233	−	25.7793i	−0.00523587	−	0.869515i
$880$	1.42027	+	2.45998i	0.0478772	+	0.0829258i
$881$	−4.74093	+	8.21154i	−0.159726	+	0.276654i	−0.934770	−	0.355254i	$-0.884394\pi$
$881$	−4.74093	+	8.21154i	−0.159726	+	0.276654i	0.775044	+	0.631908i	$0.217728\pi$
$882$	−2.88822	+	0.811298i	−0.0972513	+	0.0273178i
$883$		−	5.53035i		−	0.186111i	−0.995661	−	0.0930556i	$-0.970337\pi$
$883$		−	5.53035i		−	0.186111i	0.995661	−	0.0930556i	$-0.0296634\pi$
$884$	−12.6099	−	13.9044i	−0.424118	−	0.467657i
$885$	12.5671	−	12.7194i	0.422439	−	0.427557i
$886$	5.86750	+	21.8978i	0.197123	+	0.735671i
$887$	−44.4695	−	25.6744i	−1.49314	−	0.862064i	−0.493169	−	0.869934i	$-0.664162\pi$
$887$	−44.4695	−	25.6744i	−1.49314	−	0.862064i	−0.999969	+	0.00786985i	$0.997495\pi$
$888$	0.375895	+	0.0982987i	0.0126142	+	0.00329869i
$889$	−0.114492	+	0.114492i	−0.00383992	+	0.00383992i
$890$	3.89212	−	14.5256i	0.130464	−	0.486899i
$891$	14.1214	+	3.42154i	0.473085	+	0.114626i
$892$	5.86293	+	5.86293i	0.196305	+	0.196305i
$893$	12.8757	−	7.43377i	0.430868	−	0.248762i
$894$	17.1821	−	4.71500i	0.574656	−	0.157693i
$895$	13.8627	−	3.71450i	0.463379	−	0.124162i
$896$	−1.00000			−0.0334077
$897$	14.6583	+	9.32042i	0.489426	+	0.311200i
$898$	28.2383			0.942324
$899$	17.0996	−	4.58182i	0.570303	−	0.152812i
$900$	4.98163	+	2.79670i	0.166054	+	0.0932235i
$901$	28.7225	−	16.5829i	0.956885	−	0.552458i
$902$	−0.379237	−	0.379237i	−0.0126272	−	0.0126272i
$903$	5.01922	−	2.93829i	0.167029	−	0.0977802i
$904$	−5.25825	+	19.6240i	−0.174887	+	0.652686i
$905$	21.6644	−	21.6644i	0.720148	−	0.720148i
$906$	−5.56061	+	21.2638i	−0.184739	+	0.706444i
$907$	−32.6824	−	18.8692i	−1.08520	−	0.626541i	−0.152906	−	0.988241i	$-0.548863\pi$
$907$	−32.6824	−	18.8692i	−1.08520	−	0.626541i	−0.932295	+	0.361700i	$0.882196\pi$
$908$	5.08068	+	18.9614i	0.168608	+	0.629255i
$909$	0.230039	+	19.1005i	0.00762991	+	0.633522i
$910$	−5.64203	+	2.90022i	−0.187031	+	0.0961413i
$911$		−	12.1573i		−	0.402788i	−0.979510	−	0.201394i	$-0.935453\pi$
$911$		−	12.1573i		−	0.402788i	0.979510	−	0.201394i	$-0.0645471\pi$
$912$	−2.85084	−	1.62313i	−0.0944008	−	0.0537470i
$913$	0.320701	−	0.555470i	0.0106136	−	0.0183834i
$914$	3.86172	+	6.68870i	0.127734	+	0.221242i
$915$	−21.4305	+	0.129046i	−0.708471	+	0.00426613i
$916$	−8.73025	−	2.33926i	−0.288456	−	0.0772915i
$917$	3.82410	+	1.02466i	0.126283	+	0.0338374i
$918$	0.488650	+	27.0472i	0.0161278	+	0.892691i
$919$	−14.5493	−	25.2001i	−0.479936	−	0.831273i	0.519799	−	0.854288i	$-0.326007\pi$
$919$	−14.5493	−	25.2001i	−0.479936	−	0.831273i	−0.999735	+	0.0230150i	$0.992673\pi$
$920$	2.44697	−	4.23828i	0.0806742	−	0.139732i
$921$	−2.63242	+	4.62356i	−0.0867412	+	0.152351i
$922$		−	30.9691i		−	1.01991i
$923$	1.61029	−	2.49915i	0.0530033	−	0.0822605i
$924$	−1.98915	−	1.96534i	−0.0654383	−	0.0646549i
$925$	0.110563	+	0.412625i	0.00363528	+	0.0135670i
$926$	−0.762007	−	0.439945i	−0.0250411	−	0.0144575i
$927$	−22.0601	−	37.1682i	−0.724548	−	1.22076i
$928$	−4.68177	+	4.68177i	−0.153687	+	0.153687i
$929$	−2.90064	+	10.8253i	−0.0951669	+	0.355168i	−0.997045	−	0.0768235i	$-0.975522\pi$
$929$	−2.90064	+	10.8253i	−0.0951669	+	0.355168i	0.901878	+	0.431991i	$0.142189\pi$
$930$	−4.11645	−	7.03177i	−0.134984	−	0.230581i
$931$	1.33927	+	1.33927i	0.0438927	+	0.0438927i
$932$	−15.7642	+	9.10149i	−0.516375	+	0.298129i
$933$	−8.67231	−	31.6031i	−0.283919	−	1.03464i
$934$	18.1111	−	4.85286i	0.592614	−	0.158791i
$935$	−14.7881			−0.483622
$936$	−5.74877	+	9.16252i	−0.187904	+	0.299486i
$937$	30.4158			0.993642			0.496821	−	0.867853i	$-0.334501\pi$
$937$	30.4158			0.993642			0.496821	+	0.867853i	$0.334501\pi$
$938$	7.67998	−	2.05784i	0.250760	−	0.0671910i
$939$	−5.29045	−	19.2791i	−0.172647	−	0.629150i
$940$	−11.9609	+	6.90564i	−0.390122	+	0.225237i
$941$	15.3644	+	15.3644i	0.500866	+	0.500866i	0.911707	−	0.410841i	$-0.134765\pi$
$941$	15.3644	+	15.3644i	0.500866	+	0.500866i	−0.410841	+	0.911707i	$0.634765\pi$
$942$	−21.5322	−	36.7815i	−0.701555	−	1.19841i
$943$	−0.239155	+	0.892539i	−0.00778797	+	0.0290651i
$944$	−4.14885	+	4.14885i	−0.135034	+	0.135034i
$945$	8.87216	+	2.20632i	0.288611	+	0.0717716i
$946$	4.69482	+	2.71056i	0.152642	+	0.0881278i
$947$	−3.78415	−	14.1226i	−0.122968	−	0.458924i	0.876791	−	0.480872i	$-0.159680\pi$
$947$	−3.78415	−	14.1226i	−0.122968	−	0.458924i	−0.999759	+	0.0219480i	$0.993013\pi$
$948$	17.2599	+	17.0533i	0.560575	+	0.553864i
$949$	10.8332	+	21.0747i	0.351660	+	0.684113i
$950$		−	3.60682i		−	0.117021i
$951$	−9.87507	+	17.3445i	−0.320221	+	0.562433i
$952$	2.60304	−	4.50861i	0.0843652	−	0.146125i
$953$	−16.9868	−	29.4221i	−0.550258	−	0.953075i	−0.998256	−	0.0590399i	$-0.981196\pi$
$953$	−16.9868	−	29.4221i	−0.550258	−	0.953075i	0.447998	−	0.894035i	$-0.352137\pi$
$954$	−13.6758	−	13.3503i	−0.442772	−	0.432233i
$955$	−31.3879	−	8.41036i	−1.01569	−	0.272153i
$956$	5.94695	+	1.59348i	0.192338	+	0.0515369i
$957$	−18.5140	+	0.111484i	−0.598474	+	0.00360377i
$958$	−21.5040	−	37.2460i	−0.694762	−	1.20336i
$959$	3.26840	−	5.66103i	0.105542	−	0.182804i
$960$	2.64830	+	1.50781i	0.0854737	+	0.0486644i
$961$			23.8512i			0.769394i
$962$	−0.790520	+	0.170987i	−0.0254874	+	0.00551285i
$963$	−26.9838	+	0.324982i	−0.869540	+	0.0104724i
$964$	−2.72498	−	10.1698i	−0.0877656	−	0.327546i
$965$	−38.9233	−	22.4724i	−1.25299	−	0.723412i
$966$	−1.21887	+	4.66099i	−0.0392167	+	0.149965i
$967$	27.0101	−	27.0101i	0.868587	−	0.868587i	−0.123729	−	0.992316i	$-0.539485\pi$
$967$	27.0101	−	27.0101i	0.868587	−	0.868587i	0.992316	+	0.123729i	$0.0394854\pi$
$968$	−2.17242	+	8.10757i	−0.0698241	+	0.260587i
$969$	14.7389	−	8.62826i	0.473482	−	0.277180i
$970$	1.33014	+	1.33014i	0.0427081	+	0.0427081i
$971$	43.0078	−	24.8306i	1.38019	−	0.796851i	0.388005	−	0.921657i	$-0.373164\pi$
$971$	43.0078	−	24.8306i	1.38019	−	0.796851i	0.992181	+	0.124806i	$0.0398308\pi$
$972$	14.9290	−	4.48603i	0.478848	−	0.143890i
$973$	−13.3251	+	3.57045i	−0.427183	+	0.114463i
$974$	−33.7844			−1.08252
$975$	−11.8817	−	0.508394i	−0.380518	−	0.0162816i
$976$	7.03238			0.225101
$977$	29.0399	−	7.78123i	0.929070	−	0.248944i	0.237612	−	0.971360i	$-0.423635\pi$
$977$	29.0399	−	7.78123i	0.929070	−	0.248944i	0.691458	+	0.722417i	$0.256969\pi$
$978$	−30.1542	+	8.27471i	−0.964224	+	0.264596i
$979$	−11.9500	+	6.89932i	−0.381923	+	0.220503i
$980$	−1.24412	−	1.24412i	−0.0397420	−	0.0397420i
$981$	−12.1357	+	47.5757i	−0.387464	+	1.51898i
$982$	−7.74954	+	28.9217i	−0.247298	+	0.922928i
$983$	−6.07305	+	6.07305i	−0.193700	+	0.193700i	−0.797293	−	0.603593i	$-0.793735\pi$
$983$	−6.07305	+	6.07305i	−0.193700	+	0.193700i	0.603593	+	0.797293i	$0.293735\pi$
$984$	−0.556672	−	0.145573i	−0.0177460	−	0.00464069i
$985$	24.9752	+	14.4194i	0.795775	+	0.459441i
$986$	−8.92141	−	33.2951i	−0.284115	−	1.06033i
$987$	9.55590	−	9.67168i	0.304168	−	0.307853i
$988$	6.82083	+	0.333009i	0.217000	+	0.0105944i
$989$		−	9.34000i		−	0.296995i
$990$	2.30452	+	8.20408i	0.0732425	+	0.260743i
$991$	19.6079	−	33.9619i	0.622866	−	1.07884i	−0.366083	−	0.930582i	$-0.619301\pi$
$991$	19.6079	−	33.9619i	0.622866	−	1.07884i	0.988949	−	0.148254i	$-0.0473653\pi$
$992$	1.33686	+	2.31551i	0.0424454	+	0.0735176i
$993$	−0.130189	−	21.6204i	−0.00413143	−	0.686101i
$994$	0.796468	+	0.213413i	0.0252624	+	0.00676905i
$995$	45.8387	+	12.2824i	1.45318	+	0.389379i
$996$	−0.00414354	−	0.688113i	−0.000131293	−	0.0218037i
$997$	−6.27789	−	10.8736i	−0.198823	−	0.344371i	0.749324	−	0.662203i	$-0.230379\pi$
$997$	−6.27789	−	10.8736i	−0.198823	−	0.344371i	−0.948147	+	0.317832i	$0.897045\pi$
$998$	0.379235	−	0.656854i	0.0120045	−	0.0207924i
$999$	1.01981	+	0.564474i	0.0322653	+	0.0178592i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	546.2.bu.b.71.5	yes	56
3.2	odd	2		546.2.bu.a.71.8	✓	56
13.11	odd	12		546.2.bu.a.323.8	yes	56
39.11	even	12	inner	546.2.bu.b.323.5	yes	56

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
546.2.bu.a.71.8	✓	56	3.2	odd	2
546.2.bu.a.323.8	yes	56	13.11	odd	12
546.2.bu.b.71.5	yes	56	1.1	even	1	trivial
546.2.bu.b.323.5	yes	56	39.11	even	12	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

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

\(f(q)\)	\(=\)	\(q+(-0.965926 + 0.258819i) q^{2} +(0.458354 + 1.67030i) q^{3} +(0.866025 - 0.500000i) q^{4} +(1.24412 + 1.24412i) q^{5} +(-0.875042 - 1.49476i) q^{6} +(-0.258819 + 0.965926i) q^{7} +(-0.707107 + 0.707107i) q^{8} +(-2.57982 + 1.53118i) q^{9} +O(q^{10})\)	\(q+(-0.965926 + 0.258819i) q^{2} +(0.458354 + 1.67030i) q^{3} +(0.866025 - 0.500000i) q^{4} +(1.24412 + 1.24412i) q^{5} +(-0.875042 - 1.49476i) q^{6} +(-0.258819 + 0.965926i) q^{7} +(-0.707107 + 0.707107i) q^{8} +(-2.57982 + 1.53118i) q^{9} +(-1.52373 - 0.879726i) q^{10} +(0.417849 + 1.55943i) q^{11} +(1.23210 + 1.21735i) q^{12} +(-3.43305 - 1.10191i) q^{13} -1.00000i q^{14} +(-1.50781 + 2.64830i) q^{15} +(0.500000 - 0.866025i) q^{16} +(2.60304 + 4.50861i) q^{17} +(2.09562 - 2.14671i) q^{18} +(-1.82947 - 0.490206i) q^{19} +(1.69950 + 0.455380i) q^{20} +(-1.73202 + 0.0104295i) q^{21} +(-0.807222 - 1.39815i) q^{22} +(-1.39076 + 2.40886i) q^{23} +(-1.50519 - 0.856977i) q^{24} -1.90433i q^{25} +(3.60126 + 0.175822i) q^{26} +(-3.74000 - 3.60727i) q^{27} +(0.258819 + 0.965926i) q^{28} +(5.73398 + 3.31051i) q^{29} +(0.771001 - 2.94832i) q^{30} +(1.89061 - 1.89061i) q^{31} +(-0.258819 + 0.965926i) q^{32} +(-2.41320 + 1.41271i) q^{33} +(-3.68126 - 3.68126i) q^{34} +(-1.52373 + 0.879726i) q^{35} +(-1.46860 + 2.61595i) q^{36} +(-0.216677 + 0.0580585i) q^{37} +1.89401 q^{38} +(0.266967 - 6.23929i) q^{39} -1.75945 q^{40} +(0.320883 - 0.0859802i) q^{41} +(1.67030 - 0.458354i) q^{42} +(-2.90801 + 1.67894i) q^{43} +(1.14158 + 1.14158i) q^{44} +(-5.11458 - 1.30464i) q^{45} +(0.719909 - 2.68674i) q^{46} +(-5.55062 + 5.55062i) q^{47} +(1.67570 + 0.438205i) q^{48} +(-0.866025 - 0.500000i) q^{49} +(0.492877 + 1.83944i) q^{50} +(-6.33762 + 6.41441i) q^{51} +(-3.52406 + 0.762244i) q^{52} -6.37059i q^{53} +(4.54620 + 2.51637i) q^{54} +(-1.42027 + 2.45998i) q^{55} +(-0.500000 - 0.866025i) q^{56} +(-0.0197536 - 3.28046i) q^{57} +(-6.39542 - 1.71365i) q^{58} +(-5.66744 - 1.51859i) q^{59} +(0.0183502 + 3.04740i) q^{60} +(3.51619 + 6.09022i) q^{61} +(-1.33686 + 2.31551i) q^{62} +(-0.811298 - 2.88822i) q^{63} -1.00000i q^{64} +(-2.90022 - 5.64203i) q^{65} +(1.96534 - 1.98915i) q^{66} +(2.05784 + 7.67998i) q^{67} +(4.50861 + 2.60304i) q^{68} +(-4.66099 - 1.21887i) q^{69} +(1.24412 - 1.24412i) q^{70} +(-0.213413 + 0.796468i) q^{71} +(0.741504 - 2.90692i) q^{72} +(-4.64717 - 4.64717i) q^{73} +(0.194268 - 0.112160i) q^{74} +(3.18081 - 0.872857i) q^{75} +(-1.82947 + 0.490206i) q^{76} -1.61444 q^{77} +(1.35698 + 6.09579i) q^{78} +14.0085 q^{79} +(1.69950 - 0.455380i) q^{80} +(4.31098 - 7.90034i) q^{81} +(-0.287695 + 0.166101i) q^{82} +(-0.280926 - 0.280926i) q^{83} +(-1.49476 + 0.875042i) q^{84} +(-2.37075 + 8.84775i) q^{85} +(2.37438 - 2.37438i) q^{86} +(-2.90137 + 11.0949i) q^{87} +(-1.39815 - 0.807222i) q^{88} +(2.21212 + 8.25576i) q^{89} +(5.27797 - 0.0635659i) q^{90} +(1.95290 - 3.03087i) q^{91} +2.78151i q^{92} +(4.02446 + 2.29132i) q^{93} +(3.92488 - 6.79810i) q^{94} +(-1.66621 - 2.88596i) q^{95} +(-1.73202 + 0.0104295i) q^{96} +(-1.03271 - 0.276713i) q^{97} +(0.965926 + 0.258819i) q^{98} +(-3.46575 - 3.38326i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 56 q + 8 q^{6} - 24 q^{9}+O(q^{10}) \) 56 * q + 8 * q^6 - 24 * q^9	\( 56 q + 8 q^{6} - 24 q^{9} + 24 q^{10} + 8 q^{11} + 24 q^{13} + 4 q^{15} + 28 q^{16} - 4 q^{17} - 8 q^{18} + 8 q^{19} + 4 q^{21} - 8 q^{23} - 8 q^{24} - 4 q^{26} - 24 q^{27} - 8 q^{30} - 8 q^{31} + 8 q^{33} - 24 q^{34} + 24 q^{35} - 12 q^{36} - 8 q^{37} - 20 q^{39} - 28 q^{41} + 8 q^{44} + 72 q^{45} - 20 q^{46} + 64 q^{50} + 16 q^{54} + 8 q^{55} - 28 q^{56} + 4 q^{58} - 8 q^{59} + 20 q^{60} + 8 q^{61} - 32 q^{62} - 16 q^{63} - 24 q^{65} + 32 q^{66} - 16 q^{69} - 112 q^{71} + 8 q^{73} + 48 q^{74} + 40 q^{75} + 8 q^{76} + 16 q^{79} + 12 q^{81} - 4 q^{83} - 4 q^{84} + 32 q^{85} - 16 q^{86} - 144 q^{87} + 88 q^{89} - 8 q^{90} - 8 q^{91} + 52 q^{93} - 8 q^{94} - 48 q^{95} + 4 q^{96} - 64 q^{97} + 56 q^{99}+O(q^{100}) \) 56 * q + 8 * q^6 - 24 * q^9 + 24 * q^10 + 8 * q^11 + 24 * q^13 + 4 * q^15 + 28 * q^16 - 4 * q^17 - 8 * q^18 + 8 * q^19 + 4 * q^21 - 8 * q^23 - 8 * q^24 - 4 * q^26 - 24 * q^27 - 8 * q^30 - 8 * q^31 + 8 * q^33 - 24 * q^34 + 24 * q^35 - 12 * q^36 - 8 * q^37 - 20 * q^39 - 28 * q^41 + 8 * q^44 + 72 * q^45 - 20 * q^46 + 64 * q^50 + 16 * q^54 + 8 * q^55 - 28 * q^56 + 4 * q^58 - 8 * q^59 + 20 * q^60 + 8 * q^61 - 32 * q^62 - 16 * q^63 - 24 * q^65 + 32 * q^66 - 16 * q^69 - 112 * q^71 + 8 * q^73 + 48 * q^74 + 40 * q^75 + 8 * q^76 + 16 * q^79 + 12 * q^81 - 4 * q^83 - 4 * q^84 + 32 * q^85 - 16 * q^86 - 144 * q^87 + 88 * q^89 - 8 * q^90 - 8 * q^91 + 52 * q^93 - 8 * q^94 - 48 * q^95 + 4 * q^96 - 64 * q^97 + 56 * q^99

Introduction

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