LMFDB - Embedded newform 546.2.bu.a.71.8

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			71.8
Character	$\chi$	$=$	546.71
Dual form			546.2.bu.a.323.8

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.965926 - 0.258819i) q^{2} +(-1.67570 + 0.438205i) q^{3} +(0.866025 - 0.500000i) q^{4} +(-1.24412 - 1.24412i) q^{5} +(-1.50519 + 0.856977i) q^{6} +(-0.258819 + 0.965926i) q^{7} +(0.707107 - 0.707107i) q^{8} +(2.61595 - 1.46860i) q^{9} +O(q^{10})$	\(q+(0.965926 - 0.258819i) q^{2} +(-1.67570 + 0.438205i) q^{3} +(0.866025 - 0.500000i) q^{4} +(-1.24412 - 1.24412i) q^{5} +(-1.50519 + 0.856977i) q^{6} +(-0.258819 + 0.965926i) q^{7} +(0.707107 - 0.707107i) q^{8} +(2.61595 - 1.46860i) 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} +(2.62995 + 1.53959i) q^{15} +(0.500000 - 0.866025i) q^{16} +(-2.60304 - 4.50861i) q^{17} +(2.14671 - 2.09562i) q^{18} +(-1.82947 - 0.490206i) q^{19} +(-1.69950 - 0.455380i) q^{20} +(0.0104295 - 1.73202i) q^{21} +(-0.807222 - 1.39815i) q^{22} +(1.39076 - 2.40886i) q^{23} +(-0.875042 + 1.49476i) 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} +(2.93882 + 0.806451i) q^{30} +(1.89061 - 1.89061i) q^{31} +(0.258819 - 0.965926i) q^{32} +(1.38354 + 2.43004i) q^{33} +(-3.68126 - 3.68126i) q^{34} +(1.52373 - 0.879726i) q^{35} +(1.53118 - 2.57982i) q^{36} +(-0.216677 + 0.0580585i) q^{37} -1.89401 q^{38} +(6.23562 + 0.342086i) q^{39} -1.75945 q^{40} +(-0.320883 + 0.0859802i) q^{41} +(-0.438205 - 1.67570i) q^{42} +(-2.90801 + 1.67894i) q^{43} +(-1.14158 - 1.14158i) q^{44} +(-5.08168 - 1.42744i) q^{45} +(0.719909 - 2.68674i) q^{46} +(5.55062 - 5.55062i) q^{47} +(-0.458354 + 1.67030i) 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} +(-2.67894 + 4.45234i) q^{54} +(-1.42027 + 2.45998i) q^{55} +(0.500000 + 0.866025i) q^{56} +(3.28046 + 0.0197536i) q^{57} +(-6.39542 - 1.71365i) q^{58} +(5.66744 + 1.51859i) q^{59} +(3.04740 + 0.0183502i) q^{60} +(3.51619 + 6.09022i) q^{61} +(1.33686 - 2.31551i) q^{62} +(0.741504 + 2.90692i) 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} +(-1.27492 + 4.64597i) q^{69} +(1.24412 - 1.24412i) q^{70} +(0.213413 - 0.796468i) q^{71} +(0.811298 - 2.88822i) q^{72} +(-4.64717 - 4.64717i) q^{73} +(-0.194268 + 0.112160i) q^{74} +(0.834488 + 3.19109i) q^{75} +(-1.82947 + 0.490206i) q^{76} +1.61444 q^{77} +(6.11169 - 1.28347i) q^{78} +14.0085 q^{79} +(-1.69950 + 0.455380i) q^{80} +(4.68641 - 7.68359i) q^{81} +(-0.287695 + 0.166101i) q^{82} +(0.280926 + 0.280926i) q^{83} +(-0.856977 - 1.50519i) q^{84} +(-2.37075 + 8.84775i) q^{85} +(-2.37438 + 2.37438i) q^{86} +(11.0591 + 3.03477i) 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} +(-2.33962 + 3.99657i) q^{93} +(3.92488 - 6.79810i) q^{94} +(1.66621 + 2.88596i) q^{95} +(-0.0104295 + 1.73202i) q^{96} +(-1.03271 - 0.276713i) q^{97} +(-0.965926 - 0.258819i) q^{98} +(-3.38326 - 3.46575i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 56 q - 8 q^{6} + 24 q^{9}+O(q^{10}) $ 56 * q - 8 * q^6 + 24 * q^9	$ 56 q - 8 q^{6} + 24 q^{9} + 24 q^{10} - 8 q^{11} + 24 q^{13} - 4 q^{15} + 28 q^{16} + 4 q^{17} + 8 q^{19} + 4 q^{21} + 8 q^{23} + 8 q^{24} + 4 q^{26} - 24 q^{27} - 16 q^{30} - 8 q^{31} - 32 q^{33} - 24 q^{34} - 24 q^{35} - 12 q^{36} - 8 q^{37} - 60 q^{39} + 28 q^{41} - 8 q^{44} - 40 q^{45} - 20 q^{46} - 64 q^{50} + 8 q^{54} + 8 q^{55} + 28 q^{56} + 40 q^{57} + 4 q^{58} + 8 q^{59} + 4 q^{60} + 8 q^{61} + 32 q^{62} + 24 q^{65} + 32 q^{66} - 56 q^{69} + 112 q^{71} + 16 q^{72} + 8 q^{73} - 48 q^{74} - 40 q^{75} + 8 q^{76} - 8 q^{78} + 16 q^{79} + 12 q^{81} + 4 q^{83} - 4 q^{84} + 32 q^{85} + 16 q^{86} + 144 q^{87} - 88 q^{89} + 8 q^{90} - 8 q^{91} - 76 q^{93} - 8 q^{94} + 48 q^{95} - 4 q^{96} - 64 q^{97} - 40 q^{99}+O(q^{100}) $ 56 * q - 8 * q^6 + 24 * q^9 + 24 * q^10 - 8 * q^11 + 24 * q^13 - 4 * q^15 + 28 * q^16 + 4 * q^17 + 8 * q^19 + 4 * q^21 + 8 * q^23 + 8 * q^24 + 4 * q^26 - 24 * q^27 - 16 * q^30 - 8 * q^31 - 32 * q^33 - 24 * q^34 - 24 * q^35 - 12 * q^36 - 8 * q^37 - 60 * q^39 + 28 * q^41 - 8 * q^44 - 40 * q^45 - 20 * q^46 - 64 * q^50 + 8 * q^54 + 8 * q^55 + 28 * q^56 + 40 * q^57 + 4 * q^58 + 8 * q^59 + 4 * q^60 + 8 * q^61 + 32 * q^62 + 24 * q^65 + 32 * q^66 - 56 * q^69 + 112 * q^71 + 16 * q^72 + 8 * q^73 - 48 * q^74 - 40 * q^75 + 8 * q^76 - 8 * q^78 + 16 * q^79 + 12 * q^81 + 4 * q^83 - 4 * q^84 + 32 * q^85 + 16 * q^86 + 144 * q^87 - 88 * q^89 + 8 * q^90 - 8 * q^91 - 76 * q^93 - 8 * q^94 + 48 * q^95 - 4 * q^96 - 64 * q^97 - 40 * q^99

Display 100 coefficients 10 coefficients

Character values

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

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

Coefficient data

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

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

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

$2$	0.965926	−	0.258819i	0.683013	−	0.183013i
$2$	0.965926	−	0.258819i	0.683013	−	0.183013i
$3$	−1.67570	+	0.438205i	−0.967467	+	0.252998i
$3$	−1.67570	+	0.438205i	−0.967467	+	0.252998i
$4$	0.866025	−	0.500000i	0.433013	−	0.250000i
$5$	−1.24412	−	1.24412i	−0.556387	−	0.556387i	0.371890	−	0.928277i	$-0.378710\pi$
$5$	−1.24412	−	1.24412i	−0.556387	−	0.556387i	−0.928277	+	0.371890i	$0.878710\pi$
$6$	−1.50519	+	0.856977i	−0.614490	+	0.349860i
$7$	−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
$9$	2.61595	−	1.46860i	0.871984	−	0.489534i
$10$	−1.52373	−	0.879726i	−0.481846	−	0.278194i
$11$	−0.417849	−	1.55943i	−0.125986	−	0.470187i	0.873887	−	0.486130i	$-0.161592\pi$
$11$	−0.417849	−	1.55943i	−0.125986	−	0.470187i	−0.999873	+	0.0159428i	$0.994925\pi$
$12$	−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
$15$	2.62995	+	1.53959i	0.679051	+	0.397521i
$16$	0.500000	−	0.866025i	0.125000	−	0.216506i
$17$	−2.60304	−	4.50861i	−0.631331	−	1.09350i	−0.987280	−	0.158992i	$-0.949176\pi$
$17$	−2.60304	−	4.50861i	−0.631331	−	1.09350i	0.355949	−	0.934505i	$-0.384158\pi$
$18$	2.14671	−	2.09562i	0.505985	−	0.493942i
$19$	−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
$21$	0.0104295	−	1.73202i	0.00227591	−	0.377958i
$22$	−0.807222	−	1.39815i	−0.172100	−	0.298086i
$23$	1.39076	−	2.40886i	0.289993	−	0.502282i	−0.683815	−	0.729656i	$-0.739680\pi$
$23$	1.39076	−	2.40886i	0.289993	−	0.502282i	0.973808	+	0.227373i	$0.0730137\pi$
$24$	−0.875042	+	1.49476i	−0.178617	+	0.305116i
$25$		−	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	−0.138024	−	0.990429i	$-0.544075\pi$
$29$	−5.73398	−	3.31051i	−1.06477	−	0.614747i	−0.926749	+	0.375682i	$0.877409\pi$
$30$	2.93882	+	0.806451i	0.536552	+	0.147237i
$31$	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
$33$	1.38354	+	2.43004i	0.240844	+	0.423016i
$34$	−3.68126	−	3.68126i	−0.631331	−	0.631331i
$35$	1.52373	−	0.879726i	0.257557	−	0.148701i
$36$	1.53118	−	2.57982i	0.255197	−	0.429971i
$37$	−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
$39$	6.23562	+	0.342086i	0.998499	+	0.0547776i
$40$	−1.75945			−0.278194
$41$	−0.320883	+	0.0859802i	−0.0501134	+	0.0134279i	−0.283789	−	0.958887i	$-0.591591\pi$
$41$	−0.320883	+	0.0859802i	−0.0501134	+	0.0134279i	0.233675	+	0.972315i	$0.424925\pi$
$42$	−0.438205	−	1.67570i	−0.0676166	−	0.258566i
$43$	−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
$45$	−5.08168	−	1.42744i	−0.757532	−	0.212790i
$46$	0.719909	−	2.68674i	0.106145	−	0.396138i
$47$	5.55062	−	5.55062i	0.809641	−	0.809641i	−0.174938	−	0.984579i	$-0.555972\pi$
$47$	5.55062	−	5.55062i	0.809641	−	0.809641i	0.984579	+	0.174938i	$0.0559725\pi$
$48$	−0.458354	+	1.67030i	−0.0661577	+	0.241087i
$49$	−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	$0.144148\pi$
$53$			6.37059i			0.875068i	−0.899202	+	0.437534i	$0.855852\pi$
$54$	−2.67894	+	4.45234i	−0.364557	+	0.605886i
$55$	−1.42027	+	2.45998i	−0.191509	+	0.331703i
$56$	0.500000	+	0.866025i	0.0668153	+	0.115728i
$57$	3.28046	+	0.0197536i	0.434508	+	0.00261643i
$58$	−6.39542	−	1.71365i	−0.839760	−	0.225013i
$59$	5.66744	+	1.51859i	0.737838	+	0.197703i	0.608117	−	0.793847i	$-0.291925\pi$
$59$	5.66744	+	1.51859i	0.737838	+	0.197703i	0.129721	+	0.991551i	$0.458592\pi$
$60$	3.04740	+	0.0183502i	0.393418	+	0.00236901i
$61$	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
$63$	0.741504	+	2.90692i	0.0934207	+	0.366237i
$64$		−	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
$69$	−1.27492	+	4.64597i	−0.153482	+	0.559309i
$70$	1.24412	−	1.24412i	0.148701	−	0.148701i
$71$	0.213413	−	0.796468i	0.0253275	−	0.0945233i	−0.952105	−	0.305771i	$-0.901086\pi$
$71$	0.213413	−	0.796468i	0.0253275	−	0.0945233i	0.977433	+	0.211247i	$0.0677526\pi$
$72$	0.811298	−	2.88822i	0.0956124	−	0.340380i
$73$	−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
$75$	0.834488	+	3.19109i	0.0963583	+	0.368475i
$76$	−1.82947	+	0.490206i	−0.209855	+	0.0562305i
$77$	1.61444			0.183983
$78$	6.11169	−	1.28347i	0.692012	−	0.145324i
$79$	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
$81$	4.68641	−	7.68359i	0.520712	−	0.853732i
$82$	−0.287695	+	0.166101i	−0.0317706	+	0.0183428i
$83$	0.280926	+	0.280926i	0.0308356	+	0.0308356i	0.722356	−	0.691521i	$-0.243059\pi$
$83$	0.280926	+	0.280926i	0.0308356	+	0.0308356i	−0.691521	+	0.722356i	$0.743059\pi$
$84$	−0.856977	−	1.50519i	−0.0935039	−	0.164229i
$85$	−2.37075	+	8.84775i	−0.257144	+	0.959673i
$86$	−2.37438	+	2.37438i	−0.256036	+	0.256036i
$87$	11.0591	+	3.03477i	1.18566	+	0.325362i
$88$	−1.39815	−	0.807222i	−0.149043	−	0.0860501i
$89$	−2.21212	−	8.25576i	−0.234485	−	0.875108i	−0.978380	−	0.206813i	$-0.933691\pi$
$89$	−2.21212	−	8.25576i	−0.234485	−	0.875108i	0.743896	−	0.668296i	$-0.232976\pi$
$90$	−5.27797	−	0.0635659i	−0.556347	−	0.00670044i
$91$	1.95290	−	3.03087i	0.204719	−	0.317722i
$92$		−	2.78151i		−	0.289993i
$93$	−2.33962	+	3.99657i	−0.242607	+	0.414425i
$94$	3.92488	−	6.79810i	0.404821	−	0.701170i
$95$	1.66621	+	2.88596i	0.170950	+	0.296093i
$96$	−0.0104295	+	1.73202i	−0.00106446	+	0.176773i
$97$	−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
$99$	−3.38326	−	3.46575i	−0.340030	−	0.348321i
$100$	−0.952165	−	1.64920i	−0.0952165	−	0.164920i
$101$	−3.18364	+	5.51423i	−0.316784	+	0.548686i	−0.979815	−	0.199906i	$-0.935936\pi$
$101$	−3.18364	+	5.51423i	−0.316784	+	0.548686i	0.663031	+	0.748592i	$0.269270\pi$
$102$	7.78184	+	4.55555i	0.770517	+	0.451066i
$103$			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	0.0737142	−	0.997279i	$-0.476515\pi$
$107$	−7.79011	−	4.49762i	−0.753098	−	0.434801i	−0.826812	+	0.562478i	$0.809848\pi$
$108$	−1.43531	+	4.99399i	−0.138112	+	0.480547i
$109$	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
$111$	0.337645	−	0.192238i	0.0320479	−	0.0182464i
$112$	0.707107	+	0.707107i	0.0668153	+	0.0668153i
$113$	−17.5944	+	10.1582i	−1.65515	+	0.955599i	−0.680238	+	0.732992i	$0.738123\pi$
$113$	−17.5944	+	10.1582i	−1.65515	+	0.955599i	−0.974908	+	0.222607i	$0.928543\pi$
$114$	3.17380	−	0.829966i	0.297253	−	0.0777335i
$115$	−4.72718	+	1.26664i	−0.440812	+	0.118115i
$116$	−6.62103			−0.614747
$117$	−10.5989	+	2.15925i	−0.979873	+	0.199623i
$118$	5.86737			0.540135
$119$	5.02870	−	1.34744i	0.460980	−	0.123519i
$120$	2.94832	−	0.771001i	0.269143	−	0.0703825i
$121$	7.26905	−	4.19679i	0.660822	−	0.381526i
$122$	4.97264	+	4.97264i	0.450202	+	0.450202i
$123$	0.500026	−	0.284690i	0.0450859	−	0.0256696i
$124$	0.692011	−	2.58262i	0.0621444	−	0.231926i
$125$	−8.58982	+	8.58982i	−0.768297	+	0.768297i
$126$	1.46860	+	2.61595i	0.130834	+	0.233048i
$127$	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	$0.0553298\pi$
$131$			3.95900i			0.345900i	−0.984931	+	0.172950i	$0.944670\pi$
$132$	2.41320	+	1.41271i	0.210042	+	0.122960i
$133$	0.947006	−	1.64026i	0.0821158	−	0.142229i
$134$	3.97545	+	6.88568i	0.343427	+	0.594832i
$135$	9.14089	+	0.165144i	0.786722	+	0.0142133i
$136$	−5.02870	−	1.34744i	−0.431207	−	0.115542i
$137$	6.31406	+	1.69185i	0.539446	+	0.144544i	0.518247	−	0.855231i	$-0.326585\pi$
$137$	6.31406	+	1.69185i	0.539446	+	0.144544i	0.0211995	+	0.999775i	$0.493251\pi$
$138$	−0.0290099	+	4.81764i	−0.00246948	+	0.410104i
$139$	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
$141$	−6.86887	+	11.7335i	−0.578464	+	0.988139i
$142$		−	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
$147$	1.67030	+	0.458354i	0.137764	+	0.0378044i
$148$	−0.158619	+	0.158619i	−0.0130384	+	0.0130384i
$149$	2.66242	−	9.93630i	0.218114	−	0.814014i	−0.766933	−	0.641728i	$-0.778218\pi$
$149$	2.66242	−	9.93630i	0.218114	−	0.814014i	0.985047	−	0.172286i	$-0.0551154\pi$
$150$	1.63197	+	2.86637i	0.133250	+	0.234038i
$151$	−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
$153$	−13.4308	−	7.97146i	−1.08582	−	0.644454i
$154$	1.55943	−	0.417849i	0.125663	−	0.0336712i
$155$	−4.70429			−0.377858
$156$	5.57125	−	2.82156i	0.446057	−	0.225905i
$157$	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
$159$	−2.79163	−	10.6752i	−0.221391	−	0.846599i
$160$	−1.52373	+	0.879726i	−0.120461	+	0.0695484i
$161$	1.96683	+	1.96683i	0.155008	+	0.155008i
$162$	2.53806	−	8.63471i	0.199409	−	0.678407i
$163$	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
$165$	1.30197	−	4.74456i	0.101358	−	0.369363i
$166$	0.344063	+	0.198645i	0.0267044	+	0.0154178i
$167$	−2.82021	−	10.5252i	−0.218235	−	0.814462i	−0.985003	−	0.172538i	$-0.944803\pi$
$167$	−2.82021	−	10.5252i	−0.218235	−	0.814462i	0.766768	−	0.641924i	$-0.221864\pi$
$168$	−1.21735	−	1.23210i	−0.0939204	−	0.0950584i
$169$	10.5716	+	7.56579i	0.813200	+	0.581984i
$170$			9.15986i			0.702529i
$171$	−5.50574	+	1.40442i	−0.421034	+	0.107398i
$172$	−1.67894	+	2.90801i	−0.128018	+	0.221734i
$173$	−11.6732	−	20.2185i	−0.887494	−	1.53718i	−0.842828	−	0.538182i	$-0.819111\pi$
$173$	−11.6732	−	20.2185i	−0.887494	−	1.53718i	−0.0446655	−	0.999002i	$-0.514222\pi$
$174$	11.4677	+	0.0690542i	0.869368	+	0.00523498i
$175$	1.83944	+	0.492877i	0.139049	+	0.0372580i
$176$	−1.55943	−	0.417849i	−0.117547	−	0.0314965i
$177$	−10.1624	−	0.0611938i	−0.763852	−	0.00459961i
$178$	−4.27349	−	7.40191i	−0.320312	−	0.554797i
$179$	−4.07847	+	7.06412i	−0.304839	+	0.527997i	−0.977225	−	0.212204i	$-0.931936\pi$
$179$	−4.07847	+	7.06412i	−0.304839	+	0.527997i	0.672386	+	0.740200i	$0.265269\pi$
$180$	−5.11458	+	1.30464i	−0.381218	+	0.0972421i
$181$		−	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
$186$	−1.22551	+	4.46593i	−0.0898589	+	0.327458i
$187$	−5.94319	+	5.94319i	−0.434609	+	0.434609i
$188$	2.03167	−	7.58229i	0.148175	−	0.552995i
$189$	−2.51637	−	4.54620i	−0.183039	−	0.330687i
$190$	2.35638	+	2.35638i	0.170950	+	0.170950i
$191$	15.9945	−	9.23445i	1.15732	−	0.668181i	0.206663	−	0.978412i	$-0.433740\pi$
$191$	15.9945	−	9.23445i	1.15732	−	0.668181i	0.950661	+	0.310231i	$0.100406\pi$
$192$	0.438205	+	1.67570i	0.0316248	+	0.120933i
$193$	−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
$195$	−7.33227	−	8.18346i	−0.525075	−	0.586030i
$196$	−1.00000			−0.0714286
$197$	−15.8323	+	4.24225i	−1.12800	+	0.302248i	−0.774119	−	0.633041i	$-0.781807\pi$
$197$	−15.8323	+	4.24225i	−1.12800	+	0.302248i	−0.353886	+	0.935289i	$0.615140\pi$
$198$	−4.16498	−	2.47200i	−0.295992	−	0.175678i
$199$	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
$201$	−6.81374	−	11.9676i	−0.480604	−	0.844129i
$202$	−1.64797	+	6.15032i	−0.115951	+	0.432735i
$203$	4.68177	−	4.68177i	0.328596	−	0.328596i
$204$	8.69575	+	2.38623i	0.608824	+	0.167070i
$205$	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
$210$	−1.53959	+	2.62995i	−0.106242	+	0.181484i
$211$	−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
$213$	−0.00859981	+	1.42816i	−0.000589249	+	0.0978560i
$214$	−8.68873	−	2.32814i	−0.593950	−	0.159148i
$215$	5.70672	+	1.52911i	0.389195	+	0.104285i
$216$	−0.0938612	+	5.19530i	−0.00638644	+	0.353496i
$217$	1.33686	+	2.31551i	0.0907521	+	0.157187i
$218$	8.18319	−	14.1737i	0.554236	−	0.959964i
$219$	9.82368	+	5.75085i	0.663823	+	0.388606i
$220$			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
$225$	−2.79670	−	4.98163i	−0.186447	−	0.332109i
$226$	−14.3658	+	14.3658i	−0.955599	+	0.955599i
$227$	5.08068	−	18.9614i	0.337216	−	1.25851i	−0.564230	−	0.825618i	$-0.690827\pi$
$227$	5.08068	−	18.9614i	0.337216	−	1.25851i	0.901446	−	0.432891i	$-0.142507\pi$
$228$	2.85084	−	1.62313i	0.188802	−	0.107494i
$229$	−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
$231$	−2.70533	+	0.707458i	−0.177997	+	0.0465473i
$232$	−6.39542	+	1.71365i	−0.419880	+	0.112507i
$233$	18.2030			1.19252			0.596259	−	0.802792i	$-0.296653\pi$
$233$	18.2030			1.19252			0.596259	+	0.802792i	$0.296653\pi$
$234$	−9.67894	+	4.82888i	−0.632732	+	0.315674i
$235$	−13.8113			−0.900949
$236$	5.66744	−	1.51859i	0.368919	−	0.0988515i
$237$	−23.4741	+	6.13861i	−1.52481	+	0.398746i
$238$	4.50861	−	2.60304i	0.292250	−	0.168730i
$239$	−4.35347	−	4.35347i	−0.281603	−	0.281603i	0.552145	−	0.833748i	$-0.313809\pi$
$239$	−4.35347	−	4.35347i	−0.281603	−	0.281603i	−0.833748	+	0.552145i	$0.813809\pi$
$240$	2.64830	−	1.50781i	0.170947	−	0.0973287i
$241$	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
$243$	−4.48603	+	14.9290i	−0.287779	+	0.957697i
$244$	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
$249$	−0.593852	−	0.347645i	−0.0376338	−	0.0220311i
$250$	−6.07392	+	10.5203i	−0.384148	+	0.665364i
$251$	1.20372	+	2.08490i	0.0759778	+	0.131597i	0.901511	−	0.432756i	$-0.142459\pi$
$251$	1.20372	+	2.08490i	0.0759778	+	0.131597i	−0.825533	+	0.564353i	$0.809126\pi$
$252$	2.09562	+	2.14671i	0.132012	+	0.135230i
$253$	−4.33759	−	1.16225i	−0.272702	−	0.0730702i
$254$	0.156398	+	0.0419068i	0.00981331	+	0.00262947i
$255$	0.0955330	−	15.8651i	0.00598251	−	0.993509i
$256$	−0.500000	−	0.866025i	−0.0312500	−	0.0541266i
$257$	7.74931	−	13.4222i	0.483389	−	0.837254i	−0.516429	−	0.856330i	$-0.672739\pi$
$257$	7.74931	−	13.4222i	0.483389	−	0.837254i	0.999818	+	0.0190759i	$0.00607241\pi$
$258$	2.93829	−	5.01922i	0.182930	−	0.312483i
$259$		−	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	0.548542	−	0.836123i	$-0.315183\pi$
$263$	1.60081	+	0.924229i	0.0987103	+	0.0569904i	−0.449832	+	0.893113i	$0.648516\pi$
$264$	2.69661	+	0.739986i	0.165965	+	0.0455430i
$265$	7.92578	−	7.92578i	0.486877	−	0.486877i
$266$	0.490206	−	1.82947i	0.0300565	−	0.112172i
$267$	7.32458	+	12.8648i	0.448257	+	0.787314i
$268$	5.62214	+	5.62214i	0.343427	+	0.343427i
$269$	−17.2653	+	9.96813i	−1.05268	+	0.607767i	−0.923400	−	0.383840i	$-0.874601\pi$
$269$	−17.2653	+	9.96813i	−1.05268	+	0.607767i	−0.129285	+	0.991608i	$0.541268\pi$
$270$	8.87216	−	2.20632i	0.539943	−	0.134272i
$271$	−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
$273$	−1.94433	+	5.93461i	−0.117676	+	0.359179i
$274$	6.53680			0.394902
$275$	−2.96967	+	0.795722i	−0.179078	+	0.0479838i
$276$	1.21887	+	4.66099i	0.0733676	+	0.280559i
$277$	−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
$279$	2.16919	−	7.72229i	0.129866	−	0.462322i
$280$	0.455380	−	1.69950i	0.0272141	−	0.101565i
$281$	−14.6432	+	14.6432i	−0.873542	+	0.873542i	−0.992857	−	0.119315i	$-0.961930\pi$
$281$	−14.6432	+	14.6432i	−0.873542	+	0.873542i	0.119315	+	0.992857i	$0.461930\pi$
$282$	−3.59797	+	13.1115i	−0.214256	+	0.780778i
$283$	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
$288$	−0.741504	−	2.90692i	−0.0436935	−	0.171292i
$289$	−5.05169	+	8.74978i	−0.297158	+	0.514693i
$290$	5.82469	+	10.0887i	0.342038	+	0.592426i
$291$	1.85177	+	0.0111506i	0.108552	+	0.000653659i
$292$	−6.34815	−	1.70098i	−0.371497	−	0.0995424i
$293$	14.3768	+	3.85226i	0.839903	+	0.225051i	0.653029	−	0.757333i	$-0.273498\pi$
$293$	14.3768	+	3.85226i	0.839903	+	0.225051i	0.186873	+	0.982384i	$0.440165\pi$
$294$	1.73202	+	0.0104295i	0.101013	+	0.000608262i
$295$	−5.16167	−	8.94028i	−0.300524	−	0.520523i
$296$	−0.112160	+	0.194268i	−0.00651920	+	0.0112916i
$297$	7.18805	+	4.32500i	0.417093	+	0.250962i
$298$		−	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
$303$	2.91847	−	10.6353i	0.167662	−	0.610981i
$304$	−1.33927	+	1.33927i	−0.0768123	+	0.0768123i
$305$	3.20240	−	11.9515i	0.183369	−	0.684343i
$306$	−15.0363	−	4.22369i	−0.859569	−	0.241452i
$307$	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
$309$	−6.31334	−	24.1423i	−0.359153	−	1.37341i
$310$	−4.54399	+	1.21756i	−0.258082	+	0.0691527i
$311$	18.9206			1.07289			0.536443	−	0.843936i	$-0.319767\pi$
$311$	18.9206			1.07289			0.536443	+	0.843936i	$0.319767\pi$
$312$	4.65114	−	4.16736i	0.263319	−	0.235930i
$313$	−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
$315$	2.69404	−	4.53908i	0.151792	−	0.255748i
$316$	12.1317	−	7.00426i	0.682464	−	0.394021i
$317$	−8.14809	−	8.14809i	−0.457642	−	0.457642i	0.440239	−	0.897881i	$-0.354894\pi$
$317$	−8.14809	−	8.14809i	−0.457642	−	0.457642i	−0.897881	+	0.440239i	$0.854894\pi$
$318$	−5.45945	−	9.58894i	−0.306151	−	0.537721i
$319$	−2.76659	+	10.3250i	−0.154899	+	0.578092i
$320$	−1.24412	+	1.24412i	−0.0695484	+	0.0695484i
$321$	15.0248	+	4.12300i	0.838601	+	0.230124i
$322$	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
$327$	−14.3213	+	24.4638i	−0.791968	+	1.35285i
$328$	−0.166101	+	0.287695i	−0.00917139	+	0.0158853i
$329$	3.92488	+	6.79810i	0.216386	+	0.374791i
$330$	0.0296254	−	4.91986i	0.00163083	−	0.270830i
$331$	−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
$333$	−0.481553	+	0.470092i	−0.0263889	+	0.0257609i
$334$	−5.44823	−	9.43661i	−0.298114	−	0.516348i
$335$	6.99461	−	12.1150i	0.382156	−	0.661914i
$336$	−1.49476	−	0.875042i	−0.0815457	−	0.0477375i
$337$			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
$342$	−4.95464	+	2.78155i	−0.267916	+	0.150409i
$343$	0.707107	−	0.707107i	0.0381802	−	0.0381802i
$344$	−0.869084	+	3.24347i	−0.0468579	+	0.174876i
$345$	7.36630	−	4.19400i	0.396588	−	0.225797i
$346$	−16.5083	−	16.5083i	−0.887494	−	0.887494i
$347$	−18.7796	+	10.8424i	−1.00814	+	0.582051i	−0.910647	−	0.413185i	$-0.864416\pi$
$347$	−18.7796	+	10.8424i	−1.00814	+	0.582051i	−0.0974953	+	0.995236i	$0.531083\pi$
$348$	11.0949	−	2.90137i	0.594747	−	0.155530i
$349$	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
$351$	16.8145	−	8.26277i	0.897490	−	0.441034i
$352$	−1.61444			−0.0860501
$353$	6.73165	−	1.80374i	0.358290	−	0.0960034i	−0.0751840	−	0.997170i	$-0.523954\pi$
$353$	6.73165	−	1.80374i	0.358290	−	0.0960034i	0.433474	+	0.901166i	$0.357288\pi$
$354$	−9.83196	+	2.57111i	−0.522563	+	0.136653i
$355$	−1.25641	+	0.725390i	−0.0666835	+	0.0384997i
$356$	−6.04363	−	6.04363i	−0.320312	−	0.320312i
$357$	−7.83614	+	4.46150i	−0.414733	+	0.236128i
$358$	−2.11117	+	7.87900i	−0.111579	+	0.416418i
$359$	11.9714	−	11.9714i	0.631828	−	0.631828i	−0.316698	−	0.948526i	$-0.602574\pi$
$359$	11.9714	−	11.9714i	0.631828	−	0.631828i	0.948526	+	0.316698i	$0.102574\pi$
$360$	−4.60264	+	2.58394i	−0.242580	+	0.136185i
$361$	−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
$366$	−10.5117	−	6.15363i	−0.549456	−	0.321655i
$367$	−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
$369$	−0.713142	+	0.696169i	−0.0371247	+	0.0362411i
$370$	0.381233	+	0.102151i	0.0198194	+	0.00531059i
$371$	−6.15352	−	1.64883i	−0.319475	−	0.0856030i
$372$	−0.0278857	+	4.63094i	−0.00144580	+	0.240103i
$373$	−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
$375$	10.6299	−	18.1581i	0.548924	−	0.937679i
$376$		−	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
$381$	−0.270448	−	0.0742146i	−0.0138555	−	0.00380213i
$382$	13.0595	−	13.0595i	0.668181	−	0.668181i
$383$	−5.05932	+	18.8817i	−0.258519	+	0.964807i	0.707579	+	0.706634i	$0.249787\pi$
$383$	−5.05932	+	18.8817i	−0.258519	+	0.964807i	−0.966099	+	0.258173i	$0.916879\pi$
$384$	0.856977	+	1.50519i	0.0437324	+	0.0768113i
$385$	−2.00856	−	2.00856i	−0.102366	−	0.102366i
$386$	−22.1224	+	12.7724i	−1.12600	+	0.650097i
$387$	−5.14152	+	8.66275i	−0.261358	+	0.440352i
$388$	−1.03271	+	0.276713i	−0.0524278	+	0.0140480i
$389$	28.7778			1.45909			0.729545	−	0.683932i	$-0.239732\pi$
$389$	28.7778			1.45909			0.729545	+	0.683932i	$0.239732\pi$
$390$	−9.20046	−	6.00688i	−0.465883	−	0.304170i
$391$	−14.4808			−0.732326
$392$	−0.965926	+	0.258819i	−0.0487866	+	0.0130723i
$393$	−1.73486	−	6.63410i	−0.0875119	−	0.334646i
$394$	−14.1949	+	8.19540i	−0.715126	+	0.412878i
$395$	−17.4283	−	17.4283i	−0.876913	−	0.876913i
$396$	−4.66286	−	1.30980i	−0.234318	−	0.0658197i
$397$	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
$399$	−0.868127	+	3.16357i	−0.0434607	+	0.158377i
$400$	−1.64920	−	0.952165i	−0.0824599	−	0.0476082i
$401$	5.35398	+	19.9813i	0.267365	+	0.997819i	0.960787	+	0.277288i	$0.0894355\pi$
$401$	5.35398	+	19.9813i	0.267365	+	0.997819i	−0.693422	+	0.720532i	$0.743898\pi$
$402$	−9.67901	−	9.79628i	−0.482745	−	0.488594i
$403$	−8.57382	+	4.40727i	−0.427092	+	0.219542i
$404$			6.36728i			0.316784i
$405$	−15.3898	+	3.72885i	−0.764724	+	0.185288i
$406$	3.31051	−	5.73398i	0.164298	−	0.284573i
$407$	0.181077	+	0.313634i	0.00897564	+	0.0155463i
$408$	9.01705	+	0.0542970i	0.446410	+	0.00268810i
$409$	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
$411$	−11.3219	−	0.0681756i	−0.558466	−	0.00336286i
$412$	7.20363	+	12.4770i	0.354897	+	0.614700i
$413$	−2.93368	+	5.08129i	−0.144357	+	0.250034i
$414$	−2.06250	−	8.08563i	−0.101366	−	0.397387i
$415$		−	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	0.955925	−	0.293613i	$-0.0948575\pi$
$419$	24.1460	+	13.9407i	1.17961	+	0.681049i	0.223686	+	0.974661i	$0.428191\pi$
$420$	−0.806451	+	2.93882i	−0.0393508	+	0.143400i
$421$	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
$423$	6.36850	−	22.6718i	0.309647	−	1.10234i
$424$	4.50469	+	4.50469i	0.218767	+	0.218767i
$425$	−8.58587	+	4.95706i	−0.416476	+	0.240453i
$426$	0.361329	+	1.38172i	0.0175064	+	0.0669447i
$427$	−6.79276	+	1.82011i	−0.328725	+	0.0880815i
$428$	−8.99524			−0.434801
$429$	−2.07209	−	9.86697i	−0.100041	−	0.476382i
$430$	5.90804			0.284911
$431$	−33.0470	+	8.85490i	−1.59182	+	0.426526i	−0.942558	−	0.334043i	$-0.891587\pi$
$431$	−33.0470	+	8.85490i	−1.59182	+	0.426526i	−0.649258	+	0.760568i	$0.724920\pi$
$432$	1.25398	+	5.04257i	0.0603322	+	0.242611i
$433$	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
$435$	−9.98325	−	17.5345i	−0.478660	−	0.840715i
$436$	4.23593	−	15.8087i	0.202864	−	0.757100i
$437$	−3.72519	+	3.72519i	−0.178200	+	0.178200i
$438$	10.9774	+	3.01234i	0.524519	+	0.143935i
$439$	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	$0.181027\pi$
$443$			22.6703i			1.07710i	−0.842594	+	0.538549i	$0.818973\pi$
$444$	0.196290	−	0.335306i	0.00931552	−	0.0159129i
$445$	−7.51901	+	13.0233i	−0.356435	+	0.617364i
$446$	4.14572	+	7.18060i	0.196305	+	0.340011i
$447$	−0.107287	+	17.8170i	−0.00507448	+	0.842714i
$448$	0.965926	+	0.258819i	0.0456357	+	0.0122281i
$449$	27.2761	+	7.30861i	1.28724	+	0.344914i	0.836611	−	0.547798i	$-0.184534\pi$
$449$	27.2761	+	7.30861i	1.28724	+	0.344914i	0.450627	+	0.892712i	$0.351200\pi$
$450$	−3.99075	−	4.08805i	−0.188126	−	0.192712i
$451$	0.268161	+	0.464468i	0.0126272	+	0.0218709i
$452$	−10.1582	+	17.5944i	−0.477799	+	0.827573i
$453$	18.9678	+	11.1039i	0.891183	+	0.521705i
$454$		−	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
$459$	25.9991	+	7.47234i	1.21354	+	0.348779i
$460$	−3.46054	+	3.46054i	−0.161348	+	0.161348i
$461$	8.01540	−	29.9139i	0.373314	−	1.39323i	−0.482478	−	0.875908i	$-0.660263\pi$
$461$	8.01540	−	29.9139i	0.373314	−	1.39323i	0.855792	−	0.517320i	$-0.173070\pi$
$462$	−2.43004	+	1.38354i	−0.113056	+	0.0643682i
$463$	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
$465$	7.88298	−	2.06144i	0.365565	−	0.0955972i
$466$	17.5827	−	4.71128i	0.814504	−	0.218246i
$467$	18.7500			0.867648			0.433824	−	0.900998i	$-0.357164\pi$
$467$	18.7500			0.867648			0.433824	+	0.900998i	$0.357164\pi$
$468$	−8.09933	+	7.16944i	−0.374392	+	0.331407i
$469$	−7.95090			−0.367138
$470$	−13.3407	+	3.57462i	−0.615359	+	0.164885i
$471$	−41.2340	+	10.7829i	−1.89996	+	0.496851i
$472$	5.08129	−	2.93368i	0.233885	−	0.135034i
$473$	3.83331	+	3.83331i	0.176256	+	0.176256i
$474$	−21.0855	+	12.0050i	−0.968487	+	0.551408i
$475$	−0.933514	+	3.48392i	−0.0428326	+	0.159853i
$476$	3.68126	−	3.68126i	0.168730	−	0.168730i
$477$	9.35587	+	16.6652i	0.428376	+	0.763046i
$478$	−5.33189	−	3.07837i	−0.243875	−	0.140801i
$479$	−11.1313	−	41.5425i	−0.508601	−	1.89812i	−0.434006	−	0.900910i	$-0.642900\pi$
$479$	−11.1313	−	41.5425i	−0.508601	−	1.89812i	−0.0745944	−	0.997214i	$-0.523766\pi$
$480$	2.16782	−	2.14186i	0.0989468	−	0.0977623i
$481$	0.807839	+	0.0394405i	0.0368343	+	0.00179833i
$482$		−	10.5285i		−	0.479560i
$483$	−4.15769	−	2.43394i	−0.189181	−	0.110748i
$484$	4.19679	−	7.26905i	0.190763	−	0.330411i
$485$	0.940548	+	1.62908i	0.0427081	+	0.0739726i
$486$	−0.469260	+	15.5814i	−0.0212861	+	0.706786i
$487$	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
$489$	−0.188285	+	31.2684i	−0.00851456	+	1.41400i
$490$	0.879726	+	1.52373i	0.0397420	+	0.0688351i
$491$	−14.9710	+	25.9305i	−0.675630	+	1.17023i	0.300654	+	0.953733i	$0.402795\pi$
$491$	−14.9710	+	25.9305i	−0.675630	+	1.17023i	−0.976284	+	0.216493i	$0.930538\pi$
$492$	0.290691	−	0.496562i	0.0131054	−	0.0223867i
$493$			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
$498$	−0.663594	−	0.182099i	−0.0297363	−	0.00816006i
$499$	−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
$501$	9.33802	+	16.4012i	0.417192	+	0.732752i
$502$	1.70231	+	1.70231i	0.0759778	+	0.0759778i
$503$	6.62590	−	3.82546i	0.295434	−	0.170569i	−0.344956	−	0.938619i	$-0.612106\pi$
$503$	6.62590	−	3.82546i	0.295434	−	0.170569i	0.640390	+	0.768050i	$0.278773\pi$
$504$	2.57982	+	1.53118i	0.114914	+	0.0682041i
$505$	10.8212	−	2.89953i	0.481537	−	0.129027i
$506$	−4.49060			−0.199631
$507$	−21.0302	−	8.04547i	−0.933985	−	0.357312i
$508$	0.161915			0.00718384
$509$	15.4835	−	4.14878i	0.686293	−	0.183892i	0.101210	−	0.994865i	$-0.467729\pi$
$509$	15.4835	−	4.14878i	0.686293	−	0.183892i	0.585083	+	0.810973i	$0.301062\pi$
$510$	−4.01390	−	15.3492i	−0.177739	−	0.679674i
$511$	5.69159	−	3.28604i	0.251781	−	0.145366i
$512$	−0.707107	−	0.707107i	−0.0312500	−	0.0312500i
$513$	8.61055	−	4.76603i	0.380165	−	0.210425i
$514$	4.01134	−	14.9705i	0.176933	−	0.660321i
$515$	17.9244	−	17.9244i	0.789842	−	0.789842i
$516$	1.53910	−	5.60868i	0.0677551	−	0.246909i
$517$	−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	$0.146459\pi$
$521$			20.2713i			0.888104i	−0.896001	+	0.444052i	$0.853541\pi$
$522$	−19.2468	+	4.90952i	−0.842409	+	0.214884i
$523$	−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
$525$	−3.29834	−	0.0198612i	−0.143951	−	0.000866816i
$526$	1.78547	+	0.478416i	0.0778503	+	0.0208599i
$527$	−13.4453	−	3.60267i	−0.585689	−	0.156935i
$528$	2.79625	+	0.0168379i	0.121691	+	0.000732775i
$529$	7.63159	+	13.2183i	0.331808	+	0.574709i
$530$	5.60438	−	9.70706i	0.243439	−	0.421648i
$531$	17.0560	−	4.35067i	0.740165	−	0.188803i
$532$		−	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
$537$	3.73876	−	13.6246i	0.161340	−	0.587943i
$538$	−14.0971	+	14.0971i	−0.607767	+	0.607767i
$539$	−0.417849	+	1.55943i	−0.0179980	+	0.0671695i
$540$	7.99881	−	4.42742i	0.344214	−	0.190526i
$541$	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
$543$	7.63065	+	29.1797i	0.327462	+	1.25222i
$544$	−5.02870	+	1.34744i	−0.215604	+	0.0577708i
$545$	−28.7959			−1.23348
$546$	−0.342086	+	6.23562i	−0.0146399	+	0.266860i
$547$	−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
$549$	18.1423	+	10.7678i	0.774295	+	0.459560i
$550$	−2.66254	+	1.53722i	−0.113531	+	0.0655471i
$551$	8.86733	+	8.86733i	0.377761	+	0.377761i
$552$	2.38370	+	4.18670i	0.101457	+	0.178198i
$553$	−3.62567	+	13.5312i	−0.154179	+	0.575405i
$554$	−2.88860	+	2.88860i	−0.122725	+	0.122725i
$555$	−0.659238	−	0.180904i	−0.0279831	−	0.00767894i
$556$	11.9470	+	6.89758i	0.506664	+	0.292522i
$557$	−2.79836	−	10.4436i	−0.118570	−	0.442510i	0.880959	−	0.473193i	$-0.156899\pi$
$557$	−2.79836	−	10.4436i	−0.118570	−	0.442510i	−0.999529	+	0.0306824i	$0.990232\pi$
$558$	0.0965970	−	8.02059i	0.00408928	−	0.339539i
$559$	11.8334	−	2.55953i	0.500499	−	0.108257i
$560$		−	1.75945i		−	0.0743504i
$561$	7.35467	−	12.5634i	0.310515	−	0.530425i
$562$	−10.3543	+	17.9342i	−0.436771	+	0.756510i
$563$	19.7857	+	34.2698i	0.833867	+	1.44430i	0.894950	+	0.446166i	$0.147211\pi$
$563$	19.7857	+	34.2698i	0.833867	+	1.44430i	−0.0610835	+	0.998133i	$0.519456\pi$
$564$	−0.0818693	+	13.5959i	−0.00344732	+	0.572493i
$565$	34.5276	+	9.25163i	1.45259	+	0.389219i
$566$	12.6859	+	3.39919i	0.533230	+	0.142879i
$567$	6.20885	+	6.51538i	0.260747	+	0.273620i
$568$	−0.412282	−	0.714094i	−0.0172990	−	0.0299627i
$569$	14.3841	−	24.9139i	0.603011	−	1.04445i	−0.389352	−	0.921089i	$-0.627301\pi$
$569$	14.3841	−	24.9139i	0.603011	−	1.04445i	0.992362	−	0.123356i	$-0.0393658\pi$
$570$	−4.98116	−	2.91601i	−0.208638	−	0.122138i
$571$		−	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
$576$	−1.46860	−	2.61595i	−0.0611918	−	0.108998i
$577$	−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
$579$	38.4497	−	21.8913i	1.59791	−	0.909771i
$580$	8.23735	+	8.23735i	0.342038	+	0.342038i
$581$	−0.344063	+	0.198645i	−0.0142741	+	0.00824117i
$582$	1.79156	−	0.468502i	0.0742624	−	0.0194200i
$583$	9.93451	−	2.66194i	0.411445	−	0.110246i
$584$	−6.57209			−0.271955
$585$	15.8727	+	10.5000i	0.656257	+	0.434121i
$586$	14.8840			0.614851
$587$	9.19776	−	2.46453i	0.379632	−	0.101722i	−0.0639564	−	0.997953i	$-0.520372\pi$
$587$	9.19776	−	2.46453i	0.379632	−	0.101722i	0.443588	+	0.896231i	$0.353705\pi$
$588$	1.67570	−	0.438205i	0.0691048	−	0.0180713i
$589$	−4.38561	+	2.53203i	−0.180706	+	0.104331i
$590$	−7.29971	−	7.29971i	−0.300524	−	0.300524i
$591$	24.6712	−	14.0465i	1.01484	−	0.577798i
$592$	−0.0580585	+	0.216677i	−0.00238619	+	0.00890539i
$593$	28.7125	−	28.7125i	1.17908	−	1.17908i	0.199103	−	0.979979i	$-0.436197\pi$
$593$	28.7125	−	28.7125i	1.17908	−	1.17908i	0.979979	−	0.199103i	$-0.0638029\pi$
$594$	8.06251	+	2.31722i	0.330809	+	0.0950768i
$595$	−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	$0.0836009\pi$
$599$			12.7087i			0.519262i	−0.965708	+	0.259631i	$0.916399\pi$
$600$	2.84651	+	1.66637i	0.116208	+	0.0680292i
$601$	−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
$603$	16.6621	+	17.0683i	0.678532	+	0.695075i
$604$	−12.2571	−	3.28429i	−0.498736	−	0.133636i
$605$	−14.2649	−	3.82226i	−0.579950	−	0.155397i
$606$	0.0664077	−	11.0283i	0.00269763	−	0.447992i
$607$	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
$609$	−5.79368	+	9.89683i	−0.234772	+	0.401040i
$610$		−	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
$615$	−0.976281	−	0.267905i	−0.0393675	−	0.0108030i
$616$	1.14158	−	1.14158i	0.0459957	−	0.0459957i
$617$	−7.52415	+	28.0805i	−0.302911	+	1.13048i	0.631818	+	0.775117i	$0.282309\pi$
$617$	−7.52415	+	28.0805i	−0.302911	+	1.13048i	−0.934729	+	0.355362i	$0.884358\pi$
$618$	−12.3467	−	21.6856i	−0.496657	−	0.872324i
$619$	−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
$621$	3.48797	+	14.0260i	0.139967	+	0.562843i
$622$	18.2759	−	4.89700i	0.732795	−	0.196352i
$623$	8.54699			0.342428
$624$	3.41407	−	5.22916i	0.136672	−	0.209334i
$625$	11.8519			0.474075
$626$	−11.1490	+	2.98736i	−0.445603	+	0.119399i
$627$	−1.33993	−	5.12392i	−0.0535118	−	0.204630i
$628$	21.3103	−	12.3035i	0.850373	−	0.490963i
$629$	0.825784	+	0.825784i	0.0329262	+	0.0329262i
$630$	1.42744	−	5.08168i	0.0568706	−	0.202459i
$631$	−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
$633$	5.20559	−	18.9699i	0.206903	−	0.753984i
$634$	−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
$639$	−0.611417	−	2.39694i	−0.0241873	−	0.0948215i
$640$	−0.879726	+	1.52373i	−0.0347742	+	0.0602307i
$641$	−4.09868	−	7.09912i	−0.161888	−	0.280398i	0.773658	−	0.633604i	$-0.218425\pi$
$641$	−4.09868	−	7.09912i	−0.161888	−	0.280398i	−0.935546	+	0.353205i	$0.885092\pi$
$642$	15.5799	+	0.0938161i	0.614891	+	0.00370262i
$643$	−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
$645$	−10.2328	−	0.0616180i	−0.402917	−	0.00242621i
$646$	4.93020	+	8.53935i	0.193976	+	0.335976i
$647$	−4.25423	+	7.36854i	−0.167251	+	0.289687i	−0.937452	−	0.348114i	$-0.886822\pi$
$647$	−4.25423	+	7.36854i	−0.167251	+	0.289687i	0.770201	+	0.637801i	$0.220156\pi$
$648$	−2.11933	−	8.74691i	−0.0832550	−	0.343611i
$649$		−	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	−0.168166	−	0.985759i	$-0.553784\pi$
$653$	−28.2611	−	16.3165i	−1.10594	−	0.638515i	−0.937775	+	0.347243i	$0.887118\pi$
$654$	−7.50159	+	27.3368i	−0.293336	+	1.06895i
$655$	4.92547	−	4.92547i	0.192454	−	0.192454i
$656$	−0.0859802	+	0.320883i	−0.00335696	+	0.0125284i
$657$	−18.9816	−	5.33192i	−0.740543	−	0.208018i
$658$	5.55062	+	5.55062i	0.216386	+	0.216386i
$659$	10.4010	−	6.00501i	0.405164	−	0.233922i	−0.283545	−	0.958959i	$-0.591511\pi$
$659$	10.4010	−	6.00501i	0.405164	−	0.233922i	0.688710	+	0.725037i	$0.258177\pi$
$660$	−1.24474	−	4.75989i	−0.0484514	−	0.185278i
$661$	−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
$663$	−14.6893	−	29.0044i	−0.570484	−	1.12644i
$664$	0.397289			0.0154178
$665$	−3.21887	+	0.862494i	−0.124823	+	0.0334461i
$666$	−0.343476	+	0.578709i	−0.0133094	+	0.0224245i
$667$	−15.9491	+	9.20824i	−0.617553	+	0.356545i
$668$	−7.70496	−	7.70496i	−0.298114	−	0.298114i
$669$	−7.10558	−	12.4802i	−0.274717	−	0.482511i
$670$	3.62068	−	13.5126i	0.139879	−	0.522035i
$671$	8.02806	−	8.02806i	0.309920	−	0.309920i
$672$	−1.67030	−	0.458354i	−0.0644333	−	0.0176814i
$673$	−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	$-0.875295\pi$
$677$		−	19.8697i		−	0.763655i	0.924234	−	0.381828i	$-0.124705\pi$
$678$	17.7776	−	30.3680i	0.682746	−	1.16627i
$679$	0.534569	−	0.925900i	0.0205149	−	0.0355328i
$680$	4.57993	+	7.93267i	0.175632	+	0.304204i
$681$	−0.204734	+	33.9999i	−0.00784542	+	1.30288i
$682$	−4.16949	−	1.11721i	−0.159658	−	0.0427803i
$683$	−16.3364	−	4.37732i	−0.625094	−	0.167494i	−0.0676518	−	0.997709i	$-0.521551\pi$
$683$	−16.3364	−	4.37732i	−0.625094	−	0.167494i	−0.557443	+	0.830215i	$0.688217\pi$
$684$	−4.06590	+	3.96913i	−0.155464	+	0.151763i
$685$	−5.75059	−	9.96031i	−0.219719	−	0.380564i
$686$	0.500000	−	0.866025i	0.0190901	−	0.0330650i
$687$	13.5100	+	7.90882i	0.515437	+	0.301740i
$688$			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
$693$	4.22331	−	2.37098i	0.160430	−	0.0900660i
$694$	−15.3335	+	15.3335i	−0.582051	+	0.582051i
$695$	6.28203	−	23.4449i	0.238291	−	0.889314i
$696$	9.96589	−	5.67407i	0.377756	−	0.215075i
$697$	1.22292	+	1.22292i	0.0463215	+	0.0463215i
$698$	13.5007	−	7.79465i	0.511010	−	0.295032i
$699$	−30.5028	+	7.97665i	−1.15372	+	0.301705i
$700$	1.83944	−	0.492877i	0.0695243	−	0.0186290i
$701$	21.3019			0.804562			0.402281	−	0.915516i	$-0.368217\pi$
$701$	21.3019			0.804562			0.402281	+	0.915516i	$0.368217\pi$
$702$	14.1030	−	12.3331i	0.532282	−	0.465484i
$703$	0.424867			0.0160241
$704$	−1.55943	+	0.417849i	−0.0587733	+	0.0157483i
$705$	23.1436	−	6.05218i	0.871638	−	0.227938i
$706$	6.03543	−	3.48456i	0.227147	−	0.131143i
$707$	−4.50235	−	4.50235i	−0.169328	−	0.169328i
$708$	−8.83149	+	5.02820i	−0.331908	+	0.188971i
$709$	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
$711$	36.6456	−	20.5730i	1.37432	−	0.771547i
$712$	−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
$717$	9.20283	+	5.38740i	0.343686	+	0.201196i
$718$	8.46509	−	14.6620i	0.315914	−	0.547180i
$719$	8.47563	+	14.6802i	0.316088	+	0.547480i	0.979668	−	0.200625i	$-0.0642973\pi$
$719$	8.47563	+	14.6802i	0.316088	+	0.547480i	−0.663580	+	0.748105i	$0.730964\pi$
$720$	−3.77704	+	3.68714i	−0.140762	+	0.137412i
$721$	−13.9163	−	3.72887i	−0.518272	−	0.138870i
$722$	−14.8875	−	3.98911i	−0.554057	−	0.148459i
$723$	−0.109807	+	18.2356i	−0.00408378	+	0.678188i
$724$	−8.70670	−	15.0804i	−0.323582	−	0.560460i
$725$	−6.30431	+	10.9194i	−0.234136	+	0.405536i
$726$	−7.34473	+	12.5464i	−0.272588	+	0.465639i
$727$		−	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
$732$	−11.7462	−	3.22332i	−0.434152	−	0.119137i
$733$	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
$735$	−1.50781	−	2.64830i	−0.0556164	−	0.0976842i
$736$	−1.96683	−	1.96683i	−0.0724982	−	0.0724982i
$737$	11.1165	−	6.41814i	0.409483	−	0.236415i
$738$	−0.508661	+	0.857023i	−0.0187241	+	0.0315474i
$739$	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
$741$	−11.2402	−	3.68258i	−0.412920	−	0.135283i
$742$	−6.37059			−0.233872
$743$	7.78184	−	2.08514i	0.285488	−	0.0764963i	−0.113233	−	0.993568i	$-0.536121\pi$
$743$	7.78184	−	2.08514i	0.285488	−	0.0764963i	0.398721	+	0.917072i	$0.369454\pi$
$744$	1.17164	+	4.48036i	0.0429544	+	0.164258i
$745$	−15.6743	+	9.04958i	−0.574263	+	0.331551i
$746$	−19.0843	−	19.0843i	−0.698727	−	0.698727i
$747$	1.14746	+	0.322320i	0.0419833	+	0.0117931i
$748$	−2.17536	+	8.11855i	−0.0795390	+	0.296844i
$749$	6.36060	−	6.36060i	0.232411	−	0.232411i
$750$	5.56801	−	20.2906i	0.203315	−	0.740907i
$751$	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
$756$	−4.45234	−	2.67894i	−0.161930	−	0.0974320i
$757$	−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
$759$	7.77780	+	0.0468348i	0.282316	+	0.00170000i
$760$	3.21887	+	0.862494i	0.116761	+	0.0312860i
$761$	1.98329	+	0.531420i	0.0718941	+	0.0192640i	0.294587	−	0.955625i	$-0.404818\pi$
$761$	1.98329	+	0.531420i	0.0718941	+	0.0192640i	−0.222693	+	0.974889i	$0.571485\pi$
$762$	−0.280441	−	0.00168870i	−0.0101593	−	6.11752e-5i
$763$	8.18319	+	14.1737i	0.296251	+	0.513123i
$764$	9.23445	−	15.9945i	0.334091	−	0.578662i
$765$	6.79207	+	26.6270i	0.245568	+	0.962700i
$766$			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
$771$	−7.10385	+	25.8874i	−0.255839	+	0.932312i
$772$	−18.0629	+	18.0629i	−0.650097	+	0.650097i
$773$	0.342643	−	1.27876i	0.0123240	−	0.0459938i	−0.959490	−	0.281743i	$-0.909088\pi$
$773$	0.342643	−	1.27876i	0.0123240	−	0.0459938i	0.971814	+	0.235749i	$0.0757543\pi$
$774$	−2.72425	+	9.69830i	−0.0979210	+	0.348598i
$775$	−3.60034	−	3.60034i	−0.129328	−	0.129328i
$776$	−0.925900	+	0.534569i	−0.0332379	+	0.0191899i
$777$	0.0982987	+	0.375895i	0.00352645	+	0.0134852i
$778$	27.7972	−	7.44824i	0.996578	−	0.267032i
$779$	0.629195			0.0225432
$780$	−10.4417	−	3.42095i	−0.373871	−	0.122490i
$781$	−1.33121			−0.0476345
$782$	−13.9874	+	3.74791i	−0.500188	+	0.134025i
$783$	33.3870	−	8.30264i	1.19315	−	0.296712i
$784$	−0.866025	+	0.500000i	−0.0309295	+	0.0178571i
$785$	−30.6141	−	30.6141i	−1.09266	−	1.09266i
$786$	−3.39277	−	5.95904i	−0.121016	−	0.212552i
$787$	−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
$789$	−3.08748	−	0.847247i	−0.109917	−	0.0301628i
$790$	−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
$795$	−9.80813	+	16.7544i	−0.347858	+	0.594216i
$796$	13.4859	−	23.3583i	0.477996	−	0.827914i
$797$	−22.0873	−	38.2563i	−0.782372	−	1.35511i	−0.930557	−	0.366148i	$-0.880676\pi$
$797$	−22.0873	−	38.2563i	−0.782372	−	1.35511i	0.148185	−	0.988960i	$-0.452657\pi$
$798$	−0.0197536	+	3.28046i	−0.000699271	+	0.116127i
$799$	−39.4741	−	10.5771i	−1.39649	−	0.374189i
$800$	−1.83944	−	0.492877i	−0.0650341	−	0.0174258i
$801$	−17.9112	−	18.3479i	−0.632863	−	0.648292i
$802$	10.3431	+	17.9148i	0.365227	+	0.632592i
$803$	−5.30513	+	9.18876i	−0.187214	+	0.324264i
$804$	−11.8847	−	6.95737i	−0.419140	−	0.245368i
$805$		−	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	0.119320	−	0.992856i	$-0.461929\pi$
$809$	−19.3656	−	11.1807i	−0.680859	−	0.393094i	−0.800178	+	0.599762i	$0.795262\pi$
$810$	−13.9003	+	7.58496i	−0.488406	+	0.266508i
$811$	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
$813$	34.7617	−	19.7915i	1.21915	−	0.694120i
$814$	0.256081	+	0.256081i	0.00897564	+	0.00897564i
$815$	−27.5081	+	15.8818i	−0.963566	+	0.556315i
$816$	8.72385	−	2.28134i	0.305396	−	0.0798628i
$817$	6.14316	−	1.64606i	0.214922	−	0.0575882i
$818$	19.6816			0.688151
$819$	0.657535	−	10.7966i	0.0229761	−	0.377265i
$820$	0.584493			0.0204114
$821$	41.1182	−	11.0176i	1.43504	−	0.384517i	0.544243	−	0.838927i	$-0.316817\pi$
$821$	41.1182	−	11.0176i	1.43504	−	0.384517i	0.890792	+	0.454411i	$0.150150\pi$
$822$	−10.9537	+	2.86446i	−0.382055	+	0.0999095i
$823$	−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
$825$	4.62760	−	2.63472i	0.161112	−	0.0917292i
$826$	−1.51859	+	5.66744i	−0.0528384	+	0.197195i
$827$	−6.38547	+	6.38547i	−0.222045	+	0.222045i	−0.809359	−	0.587314i	$-0.800185\pi$
$827$	−6.38547	+	6.38547i	−0.222045	+	0.222045i	0.587314	+	0.809359i	$0.300185\pi$
$828$	−4.08494	−	7.27631i	−0.141962	−	0.252869i
$829$	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
$834$	−20.6204	−	12.0713i	−0.714027	−	0.417996i
$835$	−9.58590	+	16.6033i	−0.331734	+	0.574580i
$836$	1.52889	+	2.64811i	0.0528777	+	0.0915868i
$837$	−0.250959	+	13.8908i	−0.00867441	+	0.480137i
$838$	26.9314	+	7.21625i	0.930330	+	0.249281i
$839$	−14.7657	−	3.95645i	−0.509768	−	0.136592i	−0.00523831	−	0.999986i	$-0.501667\pi$
$839$	−14.7657	−	3.95645i	−0.509768	−	0.136592i	−0.504530	+	0.863394i	$0.668334\pi$
$840$	−0.0183502	+	3.04740i	−0.000633143	+	0.105145i
$841$	7.41900	+	12.8501i	0.255828	+	0.443106i
$842$	18.6191	−	32.2493i	0.641658	−	1.11138i
$843$	18.1209	−	30.9544i	0.624118	−	1.06613i
$844$			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
$849$	−21.9369	−	6.01977i	−0.752871	−	0.206598i
$850$	−7.01033	+	7.01033i	−0.240453	+	0.240453i
$851$	−0.161491	+	0.602691i	−0.00553583	+	0.0206600i
$852$	0.706633	+	1.24112i	0.0242088	+	0.0425202i
$853$	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
$855$	8.59706	+	5.10254i	0.294013	+	0.174503i
$856$	−8.68873	+	2.32814i	−0.296975	+	0.0795742i
$857$	−26.8673			−0.917771			−0.458885	−	0.888495i	$-0.651751\pi$
$857$	−26.8673			−0.917771			−0.458885	+	0.888495i	$0.651751\pi$
$858$	−4.55524	−	8.99447i	−0.155513	−	0.307066i
$859$	−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
$861$	0.145573	+	0.556672i	0.00496111	+	0.0189713i
$862$	−29.6291	+	17.1064i	−1.00917	+	0.582645i
$863$	−3.58075	−	3.58075i	−0.121890	−	0.121890i	0.643530	−	0.765420i	$-0.277469\pi$
$863$	−3.58075	−	3.58075i	−0.121890	−	0.121890i	−0.765420	+	0.643530i	$0.777469\pi$
$864$	2.51637	+	4.54620i	0.0856085	+	0.154665i
$865$	−10.6314	+	39.6771i	−0.361480	+	1.34906i
$866$	24.3610	−	24.3610i	0.827821	−	0.827821i
$867$	4.63092	−	16.8757i	0.157274	−	0.573128i
$868$	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
$873$	−3.10789	+	0.792769i	−0.105186	+	0.0268312i
$874$	−2.63411	+	4.56241i	−0.0891001	+	0.154326i
$875$	−6.07392	−	10.5203i	−0.205336	−	0.355652i
$876$	11.3830	+	0.0685437i	0.384595	+	0.00231588i
$877$	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
$879$	−25.7793	−	0.155233i	−0.869515	−	0.00523587i
$880$	1.42027	+	2.45998i	0.0478772	+	0.0829258i
$881$	4.74093	−	8.21154i	0.159726	−	0.276654i	−0.775044	−	0.631908i	$-0.782272\pi$
$881$	4.74093	−	8.21154i	0.159726	−	0.276654i	0.934770	+	0.355254i	$0.115606\pi$
$882$	−2.90692	+	0.741504i	−0.0978810	+	0.0249677i
$883$		−	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	0.999969	−	0.00786985i	$-0.00250508\pi$
$887$	44.4695	+	25.6744i	1.49314	+	0.862064i	0.493169	+	0.869934i	$0.335838\pi$
$888$	0.102818	−	0.374684i	0.00345036	−	0.0125736i
$889$	−0.114492	+	0.114492i	−0.00383992	+	0.00383992i
$890$	−3.89212	+	14.5256i	−0.130464	+	0.486899i
$891$	−13.9403	−	4.09756i	−0.467016	−	0.137273i
$892$	5.86293	+	5.86293i	0.196305	+	0.196305i
$893$	−12.8757	+	7.43377i	−0.430868	+	0.248762i
$894$	4.50774	+	17.2376i	0.150761	+	0.576513i
$895$	13.8627	−	3.71450i	0.463379	−	0.124162i
$896$	1.00000			0.0334077
$897$	9.49627	−	14.5450i	0.317071	−	0.485643i
$898$	28.2383			0.942324
$899$	−17.0996	+	4.58182i	−0.570303	+	0.152812i
$900$	−4.91283	−	2.91587i	−0.163761	−	0.0971957i
$901$	28.7225	−	16.5829i	0.956885	−	0.552458i
$902$	0.379237	+	0.379237i	0.0126272	+	0.0126272i
$903$	2.87763	+	5.05425i	0.0957616	+	0.168195i
$904$	−5.25825	+	19.6240i	−0.174887	+	0.652686i
$905$	−21.6644	+	21.6644i	−0.720148	+	0.720148i
$906$	21.1953	+	5.81629i	0.704168	+	0.193233i
$907$	−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	$0.0645471\pi$
$911$			12.1573i			0.402788i	−0.979510	+	0.201394i	$0.935453\pi$
$912$	1.65734	−	2.83109i	0.0548800	−	0.0937467i
$913$	0.320701	−	0.555470i	0.0106136	−	0.0183834i
$914$	−3.86172	−	6.68870i	−0.127734	−	0.221242i
$915$	−0.129046	+	21.4305i	−0.00426613	+	0.708471i
$916$	−8.73025	−	2.33926i	−0.288456	−	0.0772915i
$917$	−3.82410	−	1.02466i	−0.126283	−	0.0338374i
$918$	27.0472	+	0.488650i	0.892691	+	0.0161278i
$919$	−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
$921$	−4.59152	−	2.68791i	−0.151296	−	0.0885696i
$922$		−	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
$927$	21.1585	+	37.6887i	0.694938	+	1.23786i
$928$	−4.68177	+	4.68177i	−0.153687	+	0.153687i
$929$	2.90064	−	10.8253i	0.0951669	−	0.355168i	−0.901878	−	0.431991i	$-0.857811\pi$
$929$	2.90064	−	10.8253i	0.0951669	−	0.355168i	0.997045	+	0.0768235i	$0.0244778\pi$
$930$	7.08084	−	4.03147i	0.232190	−	0.132197i
$931$	1.33927	+	1.33927i	0.0438927	+	0.0438927i
$932$	15.7642	−	9.10149i	0.516375	−	0.298129i
$933$	−31.7052	+	8.29110i	−1.03798	+	0.271438i
$934$	18.1111	−	4.85286i	0.592614	−	0.158791i
$935$	14.7881			0.483622
$936$	−5.96777	+	9.02141i	−0.195063	+	0.294874i
$937$	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
$939$	19.3414	−	5.05789i	0.631184	−	0.165058i
$940$	−11.9609	+	6.90564i	−0.390122	+	0.225237i
$941$	−15.3644	−	15.3644i	−0.500866	−	0.500866i	0.410841	−	0.911707i	$-0.365235\pi$
$941$	−15.3644	−	15.3644i	−0.500866	−	0.500866i	−0.911707	+	0.410841i	$0.865235\pi$
$942$	−37.0381	+	21.0876i	−1.20677	+	0.687072i
$943$	−0.239155	+	0.892539i	−0.00778797	+	0.0290651i
$944$	4.14885	−	4.14885i	0.135034	−	0.135034i
$945$	−2.52535	+	8.78668i	−0.0821497	+	0.285831i
$946$	4.69482	+	2.71056i	0.152642	+	0.0881278i
$947$	3.78415	+	14.1226i	0.122968	+	0.458924i	0.999759	−	0.0219480i	$-0.00698684\pi$
$947$	3.78415	+	14.1226i	0.122968	+	0.458924i	−0.876791	+	0.480872i	$0.840320\pi$
$948$	−17.2599	+	17.0533i	−0.560575	+	0.553864i
$949$	10.8332	+	21.0747i	0.351660	+	0.684113i
$950$			3.60682i			0.117021i
$951$	17.2243	+	10.0832i	0.558536	+	0.326971i
$952$	2.60304	−	4.50861i	0.0843652	−	0.146125i
$953$	16.9868	+	29.4221i	0.550258	+	0.953075i	0.998256	+	0.0590399i	$0.0188039\pi$
$953$	16.9868	+	29.4221i	0.550258	+	0.953075i	−0.447998	+	0.894035i	$0.647863\pi$
$954$	13.3503	+	13.6758i	0.432233	+	0.442772i
$955$	−31.3879	−	8.41036i	−1.01569	−	0.272153i
$956$	−5.94695	−	1.59348i	−0.192338	−	0.0515369i
$957$	0.111484	−	18.5140i	0.00360377	−	0.598474i
$958$	−21.5040	−	37.2460i	−0.694762	−	1.20336i
$959$	−3.26840	+	5.66103i	−0.105542	+	0.182804i
$960$	1.53959	−	2.62995i	0.0496902	−	0.0848814i
$961$			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
$966$	−4.64597	−	1.27492i	−0.149482	−	0.0410198i
$967$	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
$969$	−8.45014	−	14.8417i	−0.271457	−	0.476785i
$970$	1.33014	+	1.33014i	0.0427081	+	0.0427081i
$971$	−43.0078	+	24.8306i	−1.38019	+	0.796851i	−0.992181	−	0.124806i	$-0.960169\pi$
$971$	−43.0078	+	24.8306i	−1.38019	+	0.796851i	−0.388005	+	0.921657i	$0.626836\pi$
$972$	3.57949	+	15.1719i	0.114812	+	0.486640i
$973$	−13.3251	+	3.57045i	−0.427183	+	0.114463i
$974$	33.7844			1.08252
$975$	0.651445	−	11.8747i	0.0208629	−	0.380294i
$976$	7.03238			0.225101
$977$	−29.0399	+	7.78123i	−0.929070	+	0.248944i	−0.691458	−	0.722417i	$-0.743031\pi$
$977$	−29.0399	+	7.78123i	−0.929070	+	0.248944i	−0.237612	+	0.971360i	$0.576365\pi$
$978$	7.91098	+	30.2516i	0.252965	+	0.967341i
$979$	−11.9500	+	6.89932i	−0.381923	+	0.220503i
$980$	1.24412	+	1.24412i	0.0397420	+	0.0397420i
$981$	13.2780	−	47.2697i	0.423934	−	1.50920i
$982$	−7.74954	+	28.9217i	−0.247298	+	0.922928i
$983$	6.07305	−	6.07305i	0.193700	−	0.193700i	−0.603593	−	0.797293i	$-0.706265\pi$
$983$	6.07305	−	6.07305i	0.193700	−	0.193700i	0.797293	+	0.603593i	$0.206265\pi$
$984$	0.152266	−	0.554878i	0.00485406	−	0.0176889i
$985$	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
$990$	2.10627	+	8.25721i	0.0669416	+	0.262431i
$991$	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
$993$	21.6204	+	0.130189i	0.686101	+	0.00413143i
$994$	0.796468	+	0.213413i	0.0252624	+	0.00676905i
$995$	−45.8387	−	12.2824i	−1.45318	−	0.389379i
$996$	−0.688113	−	0.00414354i	−0.0218037	−	0.000131293i
$997$	−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
$999$	0.600942	−	0.998752i	0.0190130	−	0.0315991i

Twists

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

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

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

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

\(f(q)\)	\(=\)	\(q+(0.965926 - 0.258819i) q^{2} +(-1.67570 + 0.438205i) q^{3} +(0.866025 - 0.500000i) q^{4} +(-1.24412 - 1.24412i) q^{5} +(-1.50519 + 0.856977i) q^{6} +(-0.258819 + 0.965926i) q^{7} +(0.707107 - 0.707107i) q^{8} +(2.61595 - 1.46860i) q^{9} +O(q^{10})\)	\(q+(0.965926 - 0.258819i) q^{2} +(-1.67570 + 0.438205i) q^{3} +(0.866025 - 0.500000i) q^{4} +(-1.24412 - 1.24412i) q^{5} +(-1.50519 + 0.856977i) q^{6} +(-0.258819 + 0.965926i) q^{7} +(0.707107 - 0.707107i) q^{8} +(2.61595 - 1.46860i) 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} +(2.62995 + 1.53959i) q^{15} +(0.500000 - 0.866025i) q^{16} +(-2.60304 - 4.50861i) q^{17} +(2.14671 - 2.09562i) q^{18} +(-1.82947 - 0.490206i) q^{19} +(-1.69950 - 0.455380i) q^{20} +(0.0104295 - 1.73202i) q^{21} +(-0.807222 - 1.39815i) q^{22} +(1.39076 - 2.40886i) q^{23} +(-0.875042 + 1.49476i) 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} +(2.93882 + 0.806451i) q^{30} +(1.89061 - 1.89061i) q^{31} +(0.258819 - 0.965926i) q^{32} +(1.38354 + 2.43004i) q^{33} +(-3.68126 - 3.68126i) q^{34} +(1.52373 - 0.879726i) q^{35} +(1.53118 - 2.57982i) q^{36} +(-0.216677 + 0.0580585i) q^{37} -1.89401 q^{38} +(6.23562 + 0.342086i) q^{39} -1.75945 q^{40} +(-0.320883 + 0.0859802i) q^{41} +(-0.438205 - 1.67570i) q^{42} +(-2.90801 + 1.67894i) q^{43} +(-1.14158 - 1.14158i) q^{44} +(-5.08168 - 1.42744i) q^{45} +(0.719909 - 2.68674i) q^{46} +(5.55062 - 5.55062i) q^{47} +(-0.458354 + 1.67030i) 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} +(-2.67894 + 4.45234i) q^{54} +(-1.42027 + 2.45998i) q^{55} +(0.500000 + 0.866025i) q^{56} +(3.28046 + 0.0197536i) q^{57} +(-6.39542 - 1.71365i) q^{58} +(5.66744 + 1.51859i) q^{59} +(3.04740 + 0.0183502i) q^{60} +(3.51619 + 6.09022i) q^{61} +(1.33686 - 2.31551i) q^{62} +(0.741504 + 2.90692i) 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} +(-1.27492 + 4.64597i) q^{69} +(1.24412 - 1.24412i) q^{70} +(0.213413 - 0.796468i) q^{71} +(0.811298 - 2.88822i) q^{72} +(-4.64717 - 4.64717i) q^{73} +(-0.194268 + 0.112160i) q^{74} +(0.834488 + 3.19109i) q^{75} +(-1.82947 + 0.490206i) q^{76} +1.61444 q^{77} +(6.11169 - 1.28347i) q^{78} +14.0085 q^{79} +(-1.69950 + 0.455380i) q^{80} +(4.68641 - 7.68359i) q^{81} +(-0.287695 + 0.166101i) q^{82} +(0.280926 + 0.280926i) q^{83} +(-0.856977 - 1.50519i) q^{84} +(-2.37075 + 8.84775i) q^{85} +(-2.37438 + 2.37438i) q^{86} +(11.0591 + 3.03477i) 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} +(-2.33962 + 3.99657i) q^{93} +(3.92488 - 6.79810i) q^{94} +(1.66621 + 2.88596i) q^{95} +(-0.0104295 + 1.73202i) q^{96} +(-1.03271 - 0.276713i) q^{97} +(-0.965926 - 0.258819i) q^{98} +(-3.38326 - 3.46575i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 56 q - 8 q^{6} + 24 q^{9}+O(q^{10}) \) 56 * q - 8 * q^6 + 24 * q^9	\( 56 q - 8 q^{6} + 24 q^{9} + 24 q^{10} - 8 q^{11} + 24 q^{13} - 4 q^{15} + 28 q^{16} + 4 q^{17} + 8 q^{19} + 4 q^{21} + 8 q^{23} + 8 q^{24} + 4 q^{26} - 24 q^{27} - 16 q^{30} - 8 q^{31} - 32 q^{33} - 24 q^{34} - 24 q^{35} - 12 q^{36} - 8 q^{37} - 60 q^{39} + 28 q^{41} - 8 q^{44} - 40 q^{45} - 20 q^{46} - 64 q^{50} + 8 q^{54} + 8 q^{55} + 28 q^{56} + 40 q^{57} + 4 q^{58} + 8 q^{59} + 4 q^{60} + 8 q^{61} + 32 q^{62} + 24 q^{65} + 32 q^{66} - 56 q^{69} + 112 q^{71} + 16 q^{72} + 8 q^{73} - 48 q^{74} - 40 q^{75} + 8 q^{76} - 8 q^{78} + 16 q^{79} + 12 q^{81} + 4 q^{83} - 4 q^{84} + 32 q^{85} + 16 q^{86} + 144 q^{87} - 88 q^{89} + 8 q^{90} - 8 q^{91} - 76 q^{93} - 8 q^{94} + 48 q^{95} - 4 q^{96} - 64 q^{97} - 40 q^{99}+O(q^{100}) \) 56 * q - 8 * q^6 + 24 * q^9 + 24 * q^10 - 8 * q^11 + 24 * q^13 - 4 * q^15 + 28 * q^16 + 4 * q^17 + 8 * q^19 + 4 * q^21 + 8 * q^23 + 8 * q^24 + 4 * q^26 - 24 * q^27 - 16 * q^30 - 8 * q^31 - 32 * q^33 - 24 * q^34 - 24 * q^35 - 12 * q^36 - 8 * q^37 - 60 * q^39 + 28 * q^41 - 8 * q^44 - 40 * q^45 - 20 * q^46 - 64 * q^50 + 8 * q^54 + 8 * q^55 + 28 * q^56 + 40 * q^57 + 4 * q^58 + 8 * q^59 + 4 * q^60 + 8 * q^61 + 32 * q^62 + 24 * q^65 + 32 * q^66 - 56 * q^69 + 112 * q^71 + 16 * q^72 + 8 * q^73 - 48 * q^74 - 40 * q^75 + 8 * q^76 - 8 * q^78 + 16 * q^79 + 12 * q^81 + 4 * q^83 - 4 * q^84 + 32 * q^85 + 16 * q^86 + 144 * q^87 - 88 * q^89 + 8 * q^90 - 8 * q^91 - 76 * q^93 - 8 * q^94 + 48 * q^95 - 4 * q^96 - 64 * q^97 - 40 * q^99

Introduction

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