LMFDB - Embedded newform 287.2.h.c.57.3

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [287,2,Mod(57,287)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(287, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([0, 6]))

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

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

chi := DirichletCharacter("287.57");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 287 = 7 \cdot 41 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	287.h (of order $5$, 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:	$2.29170653801$
Analytic rank:	$0$
Dimension:	$40$
Relative dimension:	$10$ over $\Q(\zeta_{5})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{5}]$

Embedding invariants

Embedding label			57.3
Character	$\chi$	$=$	287.57
Dual form			287.2.h.c.141.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.508764 + 1.56581i) q^{2} -0.349538 q^{3} +(-0.574899 - 0.417688i) q^{4} +(-3.08337 - 2.24020i) q^{5} +(0.177832 - 0.547311i) q^{6} +(0.309017 + 0.951057i) q^{7} +(-1.71741 + 1.24777i) q^{8} -2.87782 q^{9} +O(q^{10})$	\(q+(-0.508764 + 1.56581i) q^{2} -0.349538 q^{3} +(-0.574899 - 0.417688i) q^{4} +(-3.08337 - 2.24020i) q^{5} +(0.177832 - 0.547311i) q^{6} +(0.309017 + 0.951057i) q^{7} +(-1.71741 + 1.24777i) q^{8} -2.87782 q^{9} +(5.07644 - 3.68825i) q^{10} +(3.11614 - 2.26401i) q^{11} +(0.200949 + 0.145998i) q^{12} +(1.80752 - 5.56298i) q^{13} -1.64639 q^{14} +(1.07775 + 0.783034i) q^{15} +(-1.51921 - 4.67564i) q^{16} +(-5.63254 + 4.09228i) q^{17} +(1.46413 - 4.50614i) q^{18} +(-2.51654 - 7.74512i) q^{19} +(0.836920 + 2.57577i) q^{20} +(-0.108013 - 0.332430i) q^{21} +(1.95964 + 6.03114i) q^{22} +(-0.215729 + 0.663947i) q^{23} +(0.600300 - 0.436144i) q^{24} +(2.94359 + 9.05942i) q^{25} +(7.79099 + 5.66049i) q^{26} +2.05452 q^{27} +(0.219592 - 0.675834i) q^{28} +(-1.00498 - 0.730161i) q^{29} +(-1.77441 + 1.28918i) q^{30} +(-0.518496 + 0.376709i) q^{31} +3.84842 q^{32} +(-1.08921 + 0.791357i) q^{33} +(-3.54211 - 10.9015i) q^{34} +(1.17774 - 3.62472i) q^{35} +(1.65446 + 1.20203i) q^{36} +(-2.19537 - 1.59503i) q^{37} +13.4077 q^{38} +(-0.631797 + 1.94447i) q^{39} +8.09067 q^{40} +(-5.02143 + 3.97306i) q^{41} +0.575477 q^{42} +(-2.63120 + 8.09799i) q^{43} -2.73712 q^{44} +(8.87339 + 6.44689i) q^{45} +(-0.929862 - 0.675584i) q^{46} +(0.485809 - 1.49517i) q^{47} +(0.531020 + 1.63431i) q^{48} +(-0.809017 + 0.587785i) q^{49} -15.6830 q^{50} +(1.96878 - 1.43041i) q^{51} +(-3.36274 + 2.44317i) q^{52} +(-5.32818 - 3.87115i) q^{53} +(-1.04527 + 3.21700i) q^{54} -14.6800 q^{55} +(-1.71741 - 1.24777i) q^{56} +(0.879626 + 2.70721i) q^{57} +(1.65459 - 1.20213i) q^{58} +(-0.190457 + 0.586166i) q^{59} +(-0.292535 - 0.900330i) q^{60} +(1.32633 + 4.08201i) q^{61} +(-0.326065 - 1.00352i) q^{62} +(-0.889296 - 2.73697i) q^{63} +(1.08048 - 3.32536i) q^{64} +(-18.0354 + 13.1035i) q^{65} +(-0.684967 - 2.10811i) q^{66} +(-4.02790 - 2.92644i) q^{67} +4.94743 q^{68} +(0.0754056 - 0.232075i) q^{69} +(5.07644 + 3.68825i) q^{70} +(-0.381718 + 0.277335i) q^{71} +(4.94241 - 3.59087i) q^{72} +7.57935 q^{73} +(3.61445 - 2.62605i) q^{74} +(-1.02889 - 3.16661i) q^{75} +(-1.78829 + 5.50379i) q^{76} +(3.11614 + 2.26401i) q^{77} +(-2.72325 - 1.97855i) q^{78} -3.79837 q^{79} +(-5.79008 + 17.8200i) q^{80} +7.91534 q^{81} +(-3.66635 - 9.88398i) q^{82} +1.48336 q^{83} +(-0.0767556 + 0.236230i) q^{84} +26.5347 q^{85} +(-11.3413 - 8.23993i) q^{86} +(0.351279 + 0.255219i) q^{87} +(-2.52673 + 7.77647i) q^{88} +(-3.66285 - 11.2731i) q^{89} +(-14.6091 + 10.6141i) q^{90} +5.84927 q^{91} +(0.401345 - 0.291595i) q^{92} +(0.181234 - 0.131674i) q^{93} +(2.09399 + 1.52137i) q^{94} +(-9.59117 + 29.5186i) q^{95} -1.34517 q^{96} +(-1.54641 - 1.12353i) q^{97} +(-0.508764 - 1.56581i) q^{98} +(-8.96770 + 6.51542i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 40 q - 3 q^{2} - 3 q^{4} - 4 q^{5} - 19 q^{6} - 10 q^{7} + 16 q^{8} + 60 q^{9}+O(q^{10}) $ 40 * q - 3 * q^2 - 3 * q^4 - 4 * q^5 - 19 * q^6 - 10 * q^7 + 16 * q^8 + 60 * q^9	\( 40 q - 3 q^{2} - 3 q^{4} - 4 q^{5} - 19 q^{6} - 10 q^{7} + 16 q^{8} + 60 q^{9} + 5 q^{10} - 10 q^{11} - 12 q^{12} - 17 q^{13} + 2 q^{14} - 3 q^{15} - 23 q^{16} - 8 q^{17} - 2 q^{18} + 23 q^{19} - 13 q^{22} - q^{23} + 46 q^{24} - 34 q^{25} + 3 q^{26} - 18 q^{28} - 18 q^{29} - 19 q^{30} - 3 q^{31} - 26 q^{32} - 6 q^{33} - 44 q^{34} + q^{35} - 38 q^{36} - 5 q^{37} + 28 q^{38} + 17 q^{39} + 14 q^{40} - 11 q^{41} - 24 q^{42} + 13 q^{43} + 66 q^{44} + 43 q^{45} - 20 q^{46} - 27 q^{47} + 39 q^{48} - 10 q^{49} + 106 q^{50} - 18 q^{51} - 30 q^{52} - 30 q^{53} - 109 q^{54} + 118 q^{55} + 16 q^{56} - 40 q^{57} - 23 q^{58} - 37 q^{59} + 96 q^{60} - 41 q^{61} - 13 q^{62} - 30 q^{63} + 10 q^{64} + 6 q^{65} - 30 q^{66} - 6 q^{67} - 26 q^{68} - 31 q^{69} + 5 q^{70} - 31 q^{71} + 107 q^{72} - 46 q^{73} + 75 q^{74} - 61 q^{75} + 43 q^{76} - 10 q^{77} + 34 q^{78} + 76 q^{79} + 64 q^{80} + 16 q^{81} - 16 q^{82} - 52 q^{83} - 7 q^{84} + 86 q^{85} - 17 q^{86} - 20 q^{87} - 52 q^{88} - 16 q^{89} + 6 q^{90} + 18 q^{91} + 97 q^{92} + 32 q^{93} - 5 q^{94} - 102 q^{95} + 38 q^{96} - 18 q^{97} - 3 q^{98} - 71 q^{99}+O(q^{100}) \) 40 * q - 3 * q^2 - 3 * q^4 - 4 * q^5 - 19 * q^6 - 10 * q^7 + 16 * q^8 + 60 * q^9 + 5 * q^10 - 10 * q^11 - 12 * q^12 - 17 * q^13 + 2 * q^14 - 3 * q^15 - 23 * q^16 - 8 * q^17 - 2 * q^18 + 23 * q^19 - 13 * q^22 - q^23 + 46 * q^24 - 34 * q^25 + 3 * q^26 - 18 * q^28 - 18 * q^29 - 19 * q^30 - 3 * q^31 - 26 * q^32 - 6 * q^33 - 44 * q^34 + q^35 - 38 * q^36 - 5 * q^37 + 28 * q^38 + 17 * q^39 + 14 * q^40 - 11 * q^41 - 24 * q^42 + 13 * q^43 + 66 * q^44 + 43 * q^45 - 20 * q^46 - 27 * q^47 + 39 * q^48 - 10 * q^49 + 106 * q^50 - 18 * q^51 - 30 * q^52 - 30 * q^53 - 109 * q^54 + 118 * q^55 + 16 * q^56 - 40 * q^57 - 23 * q^58 - 37 * q^59 + 96 * q^60 - 41 * q^61 - 13 * q^62 - 30 * q^63 + 10 * q^64 + 6 * q^65 - 30 * q^66 - 6 * q^67 - 26 * q^68 - 31 * q^69 + 5 * q^70 - 31 * q^71 + 107 * q^72 - 46 * q^73 + 75 * q^74 - 61 * q^75 + 43 * q^76 - 10 * q^77 + 34 * q^78 + 76 * q^79 + 64 * q^80 + 16 * q^81 - 16 * q^82 - 52 * q^83 - 7 * q^84 + 86 * q^85 - 17 * q^86 - 20 * q^87 - 52 * q^88 - 16 * q^89 + 6 * q^90 + 18 * q^91 + 97 * q^92 + 32 * q^93 - 5 * q^94 - 102 * q^95 + 38 * q^96 - 18 * q^97 - 3 * q^98 - 71 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/287\mathbb{Z}\right)^\times$.

$n$	$206$	$211$
$\chi(n)$	$1$	$e\left(\frac{3}{5}\right)$

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 $

$2$	−0.508764	+	1.56581i	−0.359750	+	1.10720i	0.593453	+	0.804868i	$0.297764\pi$
$2$	−0.508764	+	1.56581i	−0.359750	+	1.10720i	−0.953204	+	0.302329i	$0.902236\pi$
$3$	−0.349538			−0.201806			−0.100903	−	0.994896i	$-0.532173\pi$
$3$	−0.349538			−0.201806			−0.100903	+	0.994896i	$0.532173\pi$
$4$	−0.574899	−	0.417688i	−0.287449	−	0.208844i
$5$	−3.08337	−	2.24020i	−1.37892	−	1.00185i	−0.996980	−	0.0776615i	$-0.975255\pi$
$5$	−3.08337	−	2.24020i	−1.37892	−	1.00185i	−0.381944	−	0.924185i	$-0.624745\pi$
$6$	0.177832	−	0.547311i	0.0725997	−	0.223439i
$7$	0.309017	+	0.951057i	0.116797	+	0.359466i
$7$	0.309017	+	0.951057i	0.116797	+	0.359466i
$8$	−1.71741	+	1.24777i	−0.607197	+	0.441154i
$9$	−2.87782			−0.959274
$10$	5.07644	−	3.68825i	1.60531	−	1.16633i
$11$	3.11614	−	2.26401i	0.939552	−	0.682624i	−0.00876081	−	0.999962i	$-0.502789\pi$
$11$	3.11614	−	2.26401i	0.939552	−	0.682624i	0.948313	+	0.317337i	$0.102789\pi$
$12$	0.200949	+	0.145998i	0.0580089	+	0.0421460i
$13$	1.80752	−	5.56298i	0.501317	−	1.54289i	−0.305560	−	0.952173i	$-0.598843\pi$
$13$	1.80752	−	5.56298i	0.501317	−	1.54289i	0.806876	−	0.590721i	$-0.201157\pi$
$14$	−1.64639			−0.440017
$15$	1.07775	+	0.783034i	0.278275	+	0.202178i
$16$	−1.51921	−	4.67564i	−0.379802	−	1.16891i
$17$	−5.63254	+	4.09228i	−1.36609	+	0.992523i	−0.368060	+	0.929802i	$0.619978\pi$
$17$	−5.63254	+	4.09228i	−1.36609	+	0.992523i	−0.998031	+	0.0627207i	$0.980022\pi$
$18$	1.46413	−	4.50614i	0.345099	−	1.06211i
$19$	−2.51654	−	7.74512i	−0.577334	−	1.77685i	−0.628090	−	0.778140i	$-0.716163\pi$
$19$	−2.51654	−	7.74512i	−0.577334	−	1.77685i	0.0507562	−	0.998711i	$-0.483837\pi$
$20$	0.836920	+	2.57577i	0.187141	+	0.575961i
$21$	−0.108013	−	0.332430i	−0.0235704	−	0.0725422i
$22$	1.95964	+	6.03114i	0.417796	+	1.28584i
$23$	−0.215729	+	0.663947i	−0.0449827	+	0.138442i	−0.971025	−	0.238976i	$-0.923188\pi$
$23$	−0.215729	+	0.663947i	−0.0449827	+	0.138442i	0.926043	+	0.377419i	$0.123188\pi$
$24$	0.600300	−	0.436144i	0.122536	−	0.0890275i
$25$	2.94359	+	9.05942i	0.588717	+	1.81188i
$26$	7.79099	+	5.66049i	1.52794	+	1.11011i
$27$	2.05452			0.395393
$28$	0.219592	−	0.675834i	0.0414989	−	0.127721i
$29$	−1.00498	−	0.730161i	−0.186620	−	0.135588i	0.490552	−	0.871412i	$-0.336795\pi$
$29$	−1.00498	−	0.730161i	−0.186620	−	0.135588i	−0.677173	+	0.735824i	$0.736795\pi$
$30$	−1.77441	+	1.28918i	−0.323961	+	0.235371i
$31$	−0.518496	+	0.376709i	−0.0931246	+	0.0676590i	−0.633373	−	0.773846i	$-0.718330\pi$
$31$	−0.518496	+	0.376709i	−0.0931246	+	0.0676590i	0.540249	+	0.841505i	$0.318330\pi$
$32$	3.84842			0.680311
$33$	−1.08921	+	0.791357i	−0.189607	+	0.137758i
$34$	−3.54211	−	10.9015i	−0.607468	−	1.86959i
$35$	1.17774	−	3.62472i	0.199075	−	0.612689i
$36$	1.65446	+	1.20203i	0.275743	+	0.200339i
$37$	−2.19537	−	1.59503i	−0.360917	−	0.262221i	0.392518	−	0.919745i	$-0.371604\pi$
$37$	−2.19537	−	1.59503i	−0.360917	−	0.262221i	−0.753434	+	0.657523i	$0.771604\pi$
$38$	13.4077			2.17502
$39$	−0.631797	+	1.94447i	−0.101169	+	0.311365i
$40$	8.09067			1.27925
$41$	−5.02143	+	3.97306i	−0.784216	+	0.620488i
$41$	−5.02143	+	3.97306i	−0.784216	+	0.620488i
$42$	0.575477			0.0887980
$43$	−2.63120	+	8.09799i	−0.401254	+	1.23493i	0.522729	+	0.852499i	$0.324914\pi$
$43$	−2.63120	+	8.09799i	−0.401254	+	1.23493i	−0.923983	+	0.382434i	$0.875086\pi$
$44$	−2.73712			−0.412636
$45$	8.87339	+	6.44689i	1.32277	+	0.961046i
$46$	−0.929862	−	0.675584i	−0.137101	−	0.0996095i
$47$	0.485809	−	1.49517i	0.0708625	−	0.218092i	−0.909353	−	0.416025i	$-0.863423\pi$
$47$	0.485809	−	1.49517i	0.0708625	−	0.218092i	0.980216	+	0.197933i	$0.0634228\pi$
$48$	0.531020	+	1.63431i	0.0766462	+	0.235893i
$49$	−0.809017	+	0.587785i	−0.115574	+	0.0839693i
$50$	−15.6830			−2.21791
$51$	1.96878	−	1.43041i	0.275685	−	0.200297i
$52$	−3.36274	+	2.44317i	−0.466328	+	0.338807i
$53$	−5.32818	−	3.87115i	−0.731882	−	0.531744i	0.158276	−	0.987395i	$-0.449406\pi$
$53$	−5.32818	−	3.87115i	−0.731882	−	0.531744i	−0.890158	+	0.455651i	$0.849406\pi$
$54$	−1.04527	+	3.21700i	−0.142243	+	0.437778i
$55$	−14.6800			−1.97946
$56$	−1.71741	−	1.24777i	−0.229499	−	0.166741i
$57$	0.879626	+	2.70721i	0.116509	+	0.358579i
$58$	1.65459	−	1.20213i	0.217259	−	0.157848i
$59$	−0.190457	+	0.586166i	−0.0247954	+	0.0763124i	−0.962688	−	0.270612i	$-0.912774\pi$
$59$	−0.190457	+	0.586166i	−0.0247954	+	0.0763124i	0.937893	+	0.346924i	$0.112774\pi$
$60$	−0.292535	−	0.900330i	−0.0377661	−	0.116232i
$61$	1.32633	+	4.08201i	0.169819	+	0.522648i	0.999359	−	0.0357987i	$-0.0113975\pi$
$61$	1.32633	+	4.08201i	0.169819	+	0.522648i	−0.829540	+	0.558447i	$0.811398\pi$
$62$	−0.326065	−	1.00352i	−0.0414103	−	0.127448i
$63$	−0.889296	−	2.73697i	−0.112041	−	0.344826i
$64$	1.08048	−	3.32536i	0.135060	−	0.415671i
$65$	−18.0354	+	13.1035i	−2.23702	+	1.62529i
$66$	−0.684967	−	2.10811i	−0.0843136	−	0.259491i
$67$	−4.02790	−	2.92644i	−0.492086	−	0.357521i	0.313900	−	0.949456i	$-0.398364\pi$
$67$	−4.02790	−	2.92644i	−0.492086	−	0.357521i	−0.805986	+	0.591935i	$0.798364\pi$
$68$	4.94743			0.599965
$69$	0.0754056	−	0.232075i	0.00907777	−	0.0279385i
$70$	5.07644	+	3.68825i	0.606751	+	0.440830i
$71$	−0.381718	+	0.277335i	−0.0453016	+	0.0329136i	−0.610206	−	0.792243i	$-0.708913\pi$
$71$	−0.381718	+	0.277335i	−0.0453016	+	0.0329136i	0.564904	+	0.825157i	$0.308913\pi$
$72$	4.94241	−	3.59087i	0.582468	−	0.423188i
$73$	7.57935			0.887095			0.443548	−	0.896251i	$-0.353720\pi$
$73$	7.57935			0.887095			0.443548	+	0.896251i	$0.353720\pi$
$74$	3.61445	−	2.62605i	0.420171	−	0.305272i
$75$	−1.02889	−	3.16661i	−0.118806	−	0.365649i
$76$	−1.78829	+	5.50379i	−0.205131	+	0.631328i
$77$	3.11614	+	2.26401i	0.355117	+	0.258008i
$78$	−2.72325	−	1.97855i	−0.308347	−	0.224027i
$79$	−3.79837			−0.427350			−0.213675	−	0.976905i	$-0.568543\pi$
$79$	−3.79837			−0.427350			−0.213675	+	0.976905i	$0.568543\pi$
$80$	−5.79008	+	17.8200i	−0.647351	+	1.99234i
$81$	7.91534			0.879482
$82$	−3.66635	−	9.88398i	−0.404880	−	1.09150i
$83$	1.48336			0.162819			0.0814097	−	0.996681i	$-0.474058\pi$
$83$	1.48336			0.162819			0.0814097	+	0.996681i	$0.474058\pi$
$84$	−0.0767556	+	0.236230i	−0.00837473	+	0.0257748i
$85$	26.5347			2.87809
$86$	−11.3413	−	8.23993i	−1.22296	−	0.888535i
$87$	0.351279	+	0.255219i	0.0376610	+	0.0273623i
$88$	−2.52673	+	7.77647i	−0.269350	+	0.828975i
$89$	−3.66285	−	11.2731i	−0.388261	−	1.19494i	−0.934087	−	0.357046i	$-0.883784\pi$
$89$	−3.66285	−	11.2731i	−0.388261	−	1.19494i	0.545826	−	0.837899i	$-0.316216\pi$
$90$	−14.6091	+	10.6141i	−1.53993	+	1.11883i
$91$	5.84927			0.613170
$92$	0.401345	−	0.291595i	0.0418432	−	0.0304008i
$93$	0.181234	−	0.131674i	0.0187931	−	0.0136540i
$94$	2.09399	+	1.52137i	0.215979	+	0.156918i
$95$	−9.59117	+	29.5186i	−0.984033	+	3.02854i
$96$	−1.34517			−0.137291
$97$	−1.54641	−	1.12353i	−0.157014	−	0.114077i	0.506504	−	0.862238i	$-0.330937\pi$
$97$	−1.54641	−	1.12353i	−0.157014	−	0.114077i	−0.663518	+	0.748160i	$0.730937\pi$
$98$	−0.508764	−	1.56581i	−0.0513929	−	0.158171i
$99$	−8.96770	+	6.51542i	−0.901288	+	0.654824i
$100$	2.09175	−	6.43775i	0.209175	−	0.643775i
$101$	−6.11576	−	18.8224i	−0.608541	−	1.87290i	−0.470321	−	0.882495i	$-0.655862\pi$
$101$	−6.11576	−	18.8224i	−0.608541	−	1.87290i	−0.138220	−	0.990402i	$-0.544138\pi$
$102$	1.23810	+	3.81049i	0.122590	+	0.377295i
$103$	3.62049	+	11.1427i	0.356737	+	1.09792i	0.954995	+	0.296621i	$0.0958598\pi$
$103$	3.62049	+	11.1427i	0.356737	+	1.09792i	−0.598258	+	0.801304i	$0.704140\pi$
$104$	3.83708	+	11.8093i	0.376256	+	1.15800i
$105$	−0.411665	+	1.26698i	−0.0401744	+	0.123644i
$106$	8.77229	−	6.37344i	0.852040	−	0.619044i
$107$	−2.12579	−	6.54251i	−0.205508	−	0.632488i	−0.999692	−	0.0248111i	$-0.992102\pi$
$107$	−2.12579	−	6.54251i	−0.205508	−	0.632488i	0.794184	−	0.607677i	$-0.207898\pi$
$108$	−1.18114	−	0.858150i	−0.113655	−	0.0825755i
$109$	5.37963			0.515275			0.257638	−	0.966242i	$-0.417056\pi$
$109$	5.37963			0.515275			0.257638	+	0.966242i	$0.417056\pi$
$110$	7.46867	−	22.9862i	0.712110	−	2.19165i
$111$	0.767365	+	0.557524i	0.0728351	+	0.0529178i
$112$	3.97733	−	2.88970i	0.375823	−	0.273051i
$113$	6.89854	−	5.01208i	0.648960	−	0.471497i	−0.213957	−	0.976843i	$-0.568635\pi$
$113$	6.89854	−	5.01208i	0.648960	−	0.471497i	0.862917	+	0.505346i	$0.168635\pi$
$114$	−4.68651			−0.438932
$115$	2.15255	−	1.56392i	0.200726	−	0.145836i
$116$	0.272782	+	0.839537i	0.0253272	+	0.0779491i
$117$	−5.20173	+	16.0093i	−0.480900	+	1.48006i
$118$	−0.820930	−	0.596441i	−0.0755727	−	0.0549068i
$119$	−5.63254	−	4.09228i	−0.516334	−	0.375138i
$120$	−2.82799			−0.258159
$121$	1.18541	−	3.64832i	0.107765	−	0.331666i
$122$	−7.06646			−0.639767
$123$	1.75518	−	1.38873i	0.158259	−	0.125218i
$124$	0.455430			0.0408988
$125$	5.33004	−	16.4042i	0.476733	−	1.46723i
$126$	4.73803			0.422097
$127$	3.96176	+	2.87839i	0.351549	+	0.255416i	0.749519	−	0.661983i	$-0.230285\pi$
$127$	3.96176	+	2.87839i	0.351549	+	0.255416i	−0.397969	+	0.917399i	$0.630285\pi$
$128$	10.8841	+	7.90774i	0.962025	+	0.698952i
$129$	0.919703	−	2.83055i	0.0809753	−	0.249216i
$130$	−11.3419	−	34.9067i	−0.994749	−	3.06152i
$131$	−2.51485	+	1.82714i	−0.219723	+	0.159638i	−0.692202	−	0.721704i	$-0.743359\pi$
$131$	−2.51485	+	1.82714i	−0.219723	+	0.159638i	0.472479	+	0.881342i	$0.343359\pi$
$132$	0.956726			0.0832723
$133$	6.58839	−	4.78675i	0.571286	−	0.415063i
$134$	6.63151	−	4.81807i	0.572875	−	0.416218i
$135$	−6.33485	−	4.60253i	−0.545217	−	0.396123i
$136$	4.56715	−	14.0562i	0.391630	−	1.20531i
$137$	17.5929			1.50306			0.751529	−	0.659700i	$-0.229317\pi$
$137$	17.5929			1.50306			0.751529	+	0.659700i	$0.229317\pi$
$138$	0.325022	+	0.236142i	0.0276677	+	0.0201018i
$139$	0.295447	+	0.909293i	0.0250595	+	0.0771252i	0.962804	−	0.270200i	$-0.0870899\pi$
$139$	0.295447	+	0.909293i	0.0250595	+	0.0771252i	−0.937745	+	0.347325i	$0.887090\pi$
$140$	−2.19108	+	1.59192i	−0.185180	+	0.134541i
$141$	−0.169809	+	0.522617i	−0.0143005	+	0.0440123i
$142$	−0.240050	−	0.738798i	−0.0201445	−	0.0619985i
$143$	−6.96215	−	21.4273i	−0.582204	−	1.79184i
$144$	4.37201	+	13.4557i	0.364334	+	1.12130i
$145$	1.46302	+	4.50271i	0.121497	+	0.373930i
$146$	−3.85610	+	11.8678i	−0.319133	+	0.982190i
$147$	0.282782	−	0.205453i	0.0233235	−	0.0169455i
$148$	0.595891	+	1.83396i	0.0489819	+	0.150751i
$149$	6.32273	+	4.59374i	0.517979	+	0.376333i	0.815842	−	0.578275i	$-0.196274\pi$
$149$	6.32273	+	4.59374i	0.517979	+	0.376333i	−0.297863	+	0.954609i	$0.596274\pi$
$150$	5.48179			0.447586
$151$	5.09583	−	15.6834i	0.414693	−	1.27629i	−0.497832	−	0.867274i	$-0.665870\pi$
$151$	5.09583	−	15.6834i	0.414693	−	1.27629i	0.912525	−	0.409021i	$-0.134130\pi$
$152$	13.9861	+	10.1615i	1.13442	+	0.824205i
$153$	16.2094	−	11.7769i	1.31046	−	0.952102i
$154$	−5.13040	+	3.72745i	−0.413419	+	0.300367i
$155$	2.44262			0.196196
$156$	1.17540	−	0.853980i	0.0941076	−	0.0683732i
$157$	1.75358	+	5.39695i	0.139951	+	0.430724i	0.996327	−	0.0856282i	$-0.0272897\pi$
$157$	1.75358	+	5.39695i	0.139951	+	0.430724i	−0.856377	+	0.516352i	$0.827290\pi$
$158$	1.93247	−	5.94755i	0.153739	−	0.473161i
$159$	1.86240	+	1.35311i	0.147698	+	0.107309i
$160$	−11.8661	−	8.62122i	−0.938097	−	0.681567i
$161$	−0.698115			−0.0550192
$162$	−4.02704	+	12.3939i	−0.316394	+	0.973760i
$163$	−17.8489			−1.39804			−0.699018	−	0.715104i	$-0.746379\pi$
$163$	−17.8489			−1.39804			−0.699018	+	0.715104i	$0.746379\pi$
$164$	4.54632	−	0.186712i	0.355008	−	0.0145798i
$165$	5.13123			0.399466
$166$	−0.754678	+	2.32266i	−0.0585743	+	0.180273i
$167$	11.8160			0.914349			0.457174	−	0.889377i	$-0.348862\pi$
$167$	11.8160			0.914349			0.457174	+	0.889377i	$0.348862\pi$
$168$	0.600300	+	0.436144i	0.0463142	+	0.0336492i
$169$	−17.1624	−	12.4692i	−1.32019	−	0.959171i
$170$	−13.4999	+	41.5484i	−1.03539	+	3.18662i
$171$	7.24216	+	22.2891i	0.553822	+	1.70449i
$172$	4.89511	−	3.55651i	0.373249	−	0.271181i
$173$	17.1685			1.30530			0.652648	−	0.757661i	$-0.273658\pi$
$173$	17.1685			1.30530			0.652648	+	0.757661i	$0.273658\pi$
$174$	−0.578343	+	0.420191i	−0.0438441	+	0.0318546i
$175$	−7.70641	+	5.59903i	−0.582550	+	0.423247i
$176$	−15.3197	−	11.1304i	−1.15477	−	0.838989i
$177$	0.0665719	−	0.204887i	0.00500385	−	0.0154003i
$178$	19.5151			1.46272
$179$	−18.8416	−	13.6893i	−1.40829	−	1.02318i	−0.993568	−	0.113235i	$-0.963879\pi$
$179$	−18.8416	−	13.6893i	−1.40829	−	1.02318i	−0.414722	−	0.909948i	$-0.636121\pi$
$180$	−2.40851	−	7.41262i	−0.179520	−	0.552504i
$181$	−1.83253	+	1.33141i	−0.136211	+	0.0989632i	−0.653804	−	0.756664i	$-0.726828\pi$
$181$	−1.83253	+	1.33141i	−0.136211	+	0.0989632i	0.517593	+	0.855627i	$0.326828\pi$
$182$	−2.97589	+	9.15886i	−0.220588	+	0.678900i
$183$	−0.463601	−	1.42682i	−0.0342704	−	0.105473i
$184$	−0.457959	−	1.40945i	−0.0337612	−	0.103906i
$185$	3.19595	+	9.83613i	0.234971	+	0.723167i
$186$	0.113972	+	0.350770i	0.00835683	+	0.0257197i
$187$	−8.28683	+	25.5042i	−0.605993	+	1.86505i
$188$	−0.903805	+	0.656653i	−0.0659167	+	0.0478913i
$189$	0.634882	+	1.95397i	0.0461809	+	0.142130i
$190$	−41.3410	−	30.0360i	−2.99919	−	2.17904i
$191$	14.1559			1.02429			0.512143	−	0.858900i	$-0.328852\pi$
$191$	14.1559			1.02429			0.512143	+	0.858900i	$0.328852\pi$
$192$	−0.377667	+	1.16234i	−0.0272558	+	0.0838847i
$193$	−0.709753	−	0.515666i	−0.0510891	−	0.0371184i	0.561948	−	0.827173i	$-0.310052\pi$
$193$	−0.709753	−	0.515666i	−0.0510891	−	0.0371184i	−0.613037	+	0.790054i	$0.710052\pi$
$194$	2.54600	−	1.84978i	0.182792	−	0.132806i
$195$	6.30407	−	4.58017i	0.451444	−	0.327993i
$196$	0.710614			0.0507581
$197$	1.43991	−	1.04615i	0.102589	−	0.0745354i	−0.535308	−	0.844657i	$-0.679804\pi$
$197$	1.43991	−	1.04615i	0.102589	−	0.0745354i	0.637897	+	0.770122i	$0.279804\pi$
$198$	−5.63949	−	17.3566i	−0.400781	−	1.23348i
$199$	4.46424	−	13.7395i	0.316461	−	0.973968i	−0.658687	−	0.752417i	$-0.728888\pi$
$199$	4.46424	−	13.7395i	0.316461	−	0.973968i	0.975149	−	0.221551i	$-0.0711120\pi$
$200$	−16.3595	−	11.8858i	−1.15679	−	0.840456i
$201$	1.40790	+	1.02290i	0.0993058	+	0.0721499i
$202$	32.5838			2.29259
$203$	0.383868	−	1.18143i	0.0269423	−	0.0829198i
$204$	−1.72932			−0.121076
$205$	24.3834	−	1.00140i	1.70301	−	0.0699405i
$206$	−19.2894			−1.34396
$207$	0.620831	−	1.91072i	0.0431507	−	0.132804i
$208$	−28.7565			−1.99390
$209$	−25.3769	−	18.4374i	−1.75536	−	1.27534i
$210$	−1.77441	−	1.28918i	−0.122446	−	0.0889620i
$211$	2.02327	−	6.22698i	0.139287	−	0.428683i	−0.856945	−	0.515408i	$-0.827640\pi$
$211$	2.02327	−	6.22698i	0.139287	−	0.428683i	0.996232	+	0.0867255i	$0.0276403\pi$
$212$	1.44623	+	4.45104i	0.0993276	+	0.305699i
$213$	0.133425	−	0.0969390i	0.00914213	−	0.00664215i
$214$	11.3259			0.774221
$215$	26.2541	−	19.0747i	1.79051	−	1.30088i
$216$	−3.52846	+	2.56358i	−0.240081	+	0.174429i
$217$	−0.518496	−	0.376709i	−0.0351978	−	0.0255727i
$218$	−2.73696	+	8.42350i	−0.185370	+	0.570512i
$219$	−2.64927			−0.179021
$220$	8.43954	+	6.13168i	0.568993	+	0.413398i
$221$	12.5843	+	38.7306i	0.846514	+	2.60530i
$222$	−1.26339	+	0.917903i	−0.0847929	+	0.0616056i
$223$	−7.83385	+	24.1101i	−0.524593	+	1.61453i	0.240526	+	0.970643i	$0.422680\pi$
$223$	−7.83385	+	24.1101i	−0.524593	+	1.61453i	−0.765119	+	0.643889i	$0.777320\pi$
$224$	1.18923	+	3.66006i	0.0794586	+	0.244548i
$225$	−8.47112	−	26.0714i	−0.564741	−	1.73809i
$226$	4.33826	+	13.3518i	0.288577	+	0.888148i
$227$	1.97289	+	6.07193i	0.130945	+	0.403008i	0.994937	−	0.100497i	$-0.0320434\pi$
$227$	1.97289	+	6.07193i	0.130945	+	0.403008i	−0.863992	+	0.503505i	$0.832043\pi$
$228$	0.625075	−	1.92378i	0.0413966	−	0.127406i
$229$	−15.9021	+	11.5535i	−1.05084	+	0.763478i	−0.972372	−	0.233438i	$-0.925002\pi$
$229$	−15.9021	+	11.5535i	−1.05084	+	0.763478i	−0.0784663	+	0.996917i	$0.525002\pi$
$230$	1.35366	+	4.16615i	0.0892580	+	0.274708i
$231$	−1.08921	−	0.791357i	−0.0716647	−	0.0520675i
$232$	2.63704			0.173130
$233$	−0.434511	+	1.33729i	−0.0284658	+	0.0876087i	−0.964280	−	0.264885i	$-0.914666\pi$
$233$	−0.434511	+	1.33729i	−0.0284658	+	0.0876087i	0.935814	+	0.352493i	$0.114666\pi$
$234$	−22.4211	−	16.2899i	−1.46571	−	1.06490i
$235$	−4.84740	+	3.52184i	−0.316209	+	0.229739i
$236$	0.354328	−	0.257435i	0.0230648	−	0.0167576i
$237$	1.32768			0.0862418
$238$	9.27337	−	6.73750i	0.601104	−	0.436727i
$239$	3.16466	+	9.73981i	0.204705	+	0.630016i	0.999725	+	0.0234339i	$0.00745991\pi$
$239$	3.16466	+	9.73981i	0.204705	+	0.630016i	−0.795021	+	0.606582i	$0.792540\pi$
$240$	2.02385	−	6.22877i	0.130639	−	0.402066i
$241$	−3.89206	−	2.82774i	−0.250709	−	0.182151i	0.455332	−	0.890322i	$-0.349521\pi$
$241$	−3.89206	−	2.82774i	−0.250709	−	0.182151i	−0.706041	+	0.708171i	$0.749521\pi$
$242$	5.10950	+	3.71227i	0.328451	+	0.238634i
$243$	−8.93027			−0.572877
$244$	0.942506	−	2.90073i	0.0603378	−	0.185701i
$245$	3.81125			0.243492
$246$	1.28153	+	3.45482i	0.0817072	+	0.220272i
$247$	−47.6347			−3.03092
$248$	0.420424	−	1.29393i	0.0266969	−	0.0821647i
$249$	−0.518489			−0.0328579
$250$	22.9742	+	16.6917i	1.45301	+	1.05568i
$251$	−19.3134	−	14.0320i	−1.21905	−	0.885694i	−0.223032	−	0.974811i	$-0.571596\pi$
$251$	−19.3134	−	14.0320i	−1.21905	−	0.885694i	−0.996021	+	0.0891167i	$0.971596\pi$
$252$	−0.631946	+	1.94493i	−0.0398089	+	0.122519i
$253$	0.830938	+	2.55737i	0.0522407	+	0.160780i
$254$	−6.52262	+	4.73896i	−0.409266	+	0.297349i
$255$	−9.27488			−0.580815
$256$	−12.2620	+	8.90888i	−0.766376	+	0.556805i
$257$	−7.06176	+	5.13067i	−0.440501	+	0.320042i	−0.785834	−	0.618438i	$-0.787766\pi$
$257$	−7.06176	+	5.13067i	−0.440501	+	0.320042i	0.345333	+	0.938480i	$0.387766\pi$
$258$	3.96421	+	2.88017i	0.246801	+	0.179311i
$259$	0.838557	−	2.58081i	0.0521054	−	0.160364i
$260$	15.8417			0.982463
$261$	2.89216	+	2.10127i	0.179020	+	0.130066i
$262$	−1.58150	−	4.86737i	−0.0977056	−	0.300707i
$263$	−10.0469	+	7.29949i	−0.619518	+	0.450106i	−0.852753	−	0.522314i	$-0.825069\pi$
$263$	−10.0469	+	7.29949i	−0.619518	+	0.450106i	0.233235	+	0.972420i	$0.425069\pi$
$264$	0.883187	−	2.71817i	0.0543564	−	0.167292i
$265$	7.75661	+	23.8724i	0.476484	+	1.46647i
$266$	4.14322	+	12.7515i	0.254037	+	0.781846i
$267$	1.28030	+	3.94037i	0.0783533	+	0.241147i
$268$	1.09329	+	3.36481i	0.0667835	+	0.205539i
$269$	−3.22175	+	9.91554i	−0.196434	+	0.604561i	0.803523	+	0.595274i	$0.202956\pi$
$269$	−3.22175	+	9.91554i	−0.196434	+	0.604561i	−0.999957	+	0.00928734i	$0.997044\pi$
$270$	10.4297	−	7.57759i	0.634728	−	0.461157i
$271$	−3.63495	−	11.1872i	−0.220808	−	0.679576i	−0.998690	−	0.0511663i	$-0.983706\pi$
$271$	−3.63495	−	11.1872i	−0.220808	−	0.679576i	0.777883	−	0.628410i	$-0.216294\pi$
$272$	27.6910	+	20.1187i	1.67901	+	1.21987i
$273$	−2.04454			−0.123741
$274$	−8.95061	+	27.5471i	−0.540726	+	1.66418i
$275$	29.6833	+	21.5661i	1.78997	+	1.30049i
$276$	−0.140285	+	0.101923i	−0.00844419	+	0.00613506i
$277$	12.7539	−	9.26627i	0.766310	−	0.556756i	−0.134530	−	0.990910i	$-0.542952\pi$
$277$	12.7539	−	9.26627i	0.766310	−	0.556756i	0.900839	+	0.434153i	$0.142952\pi$
$278$	−1.57410			−0.0944080
$279$	1.49214	−	1.08410i	0.0893321	−	0.0649036i
$280$	2.50015	+	7.69468i	0.149413	+	0.459845i
$281$	3.43669	−	10.5770i	0.205016	−	0.630973i	−0.794697	−	0.607006i	$-0.792370\pi$
$281$	3.43669	−	10.5770i	0.205016	−	0.630973i	0.999713	−	0.0239672i	$-0.00762972\pi$
$282$	−0.731929	−	0.531777i	−0.0435857	−	0.0316669i
$283$	−18.2156	−	13.2344i	−1.08281	−	0.786705i	−0.104637	−	0.994511i	$-0.533368\pi$
$283$	−18.2156	−	13.2344i	−1.08281	−	0.786705i	−0.978170	+	0.207805i	$0.933368\pi$
$284$	0.335289			0.0198957
$285$	3.35248	−	10.3179i	0.198584	−	0.611177i
$286$	37.0932			2.19337
$287$	−5.33031	−	3.54792i	−0.314638	−	0.209427i
$288$	−11.0751			−0.652605
$289$	9.72544	−	29.9318i	0.572085	−	1.76070i
$290$	−7.79474			−0.457723
$291$	0.540529	+	0.392717i	0.0316863	+	0.0230215i
$292$	−4.35736	−	3.16581i	−0.254995	−	0.185265i
$293$	1.16432	−	3.58341i	0.0680203	−	0.209345i	−0.911269	−	0.411812i	$-0.864896\pi$
$293$	1.16432	−	3.58341i	0.0680203	−	0.209345i	0.979289	+	0.202467i	$0.0648960\pi$
$294$	0.177832	+	0.547311i	0.0103714	+	0.0319198i
$295$	1.90038	−	1.38071i	0.110644	−	0.0803878i
$296$	5.76059			0.334828
$297$	6.40218	−	4.65146i	0.371492	−	0.269905i
$298$	−10.4097	+	7.56310i	−0.603019	+	0.438119i
$299$	3.30359	+	2.40020i	0.191051	+	0.138807i
$300$	−0.731147	+	2.25024i	−0.0422128	+	0.129918i
$301$	−8.51473			−0.490781
$302$	21.9647	+	15.9583i	1.26392	+	0.918295i
$303$	2.13769	+	6.57913i	0.122807	+	0.377961i
$304$	−32.3902	+	23.5329i	−1.85771	+	1.34970i
$305$	5.05496	−	15.5576i	0.289446	−	0.890824i
$306$	10.1936	+	31.3726i	0.582728	+	1.79345i
$307$	−4.00703	−	12.3324i	−0.228693	−	0.703845i	−0.997896	−	0.0648400i	$-0.979346\pi$
$307$	−4.00703	−	12.3324i	−0.228693	−	0.703845i	0.769203	−	0.639005i	$-0.220654\pi$
$308$	−0.845815	−	2.60315i	−0.0481948	−	0.148328i
$309$	−1.26550	−	3.89480i	−0.0719916	−	0.221567i
$310$	−1.24272	+	3.82469i	−0.0705815	+	0.217228i
$311$	17.8898	−	12.9977i	1.01444	−	0.737033i	0.0493037	−	0.998784i	$-0.484300\pi$
$311$	17.8898	−	12.9977i	1.01444	−	0.737033i	0.965136	+	0.261751i	$0.0842998\pi$
$312$	−1.34120	−	4.12780i	−0.0759307	−	0.233691i
$313$	−25.0159	−	18.1751i	−1.41398	−	1.02732i	−0.992729	−	0.120374i	$-0.961591\pi$
$313$	−25.0159	−	18.1751i	−1.41398	−	1.02732i	−0.421253	−	0.906943i	$-0.638409\pi$
$314$	−9.34278			−0.527243
$315$	−3.38933	+	10.4313i	−0.190967	+	0.587737i
$316$	2.18368	+	1.58654i	0.122842	+	0.0892497i
$317$	1.64327	−	1.19391i	0.0922953	−	0.0670564i	−0.540681	−	0.841228i	$-0.681833\pi$
$317$	1.64327	−	1.19391i	0.0922953	−	0.0670564i	0.632976	+	0.774172i	$0.281833\pi$
$318$	−3.06625	+	2.22776i	−0.171947	+	0.124927i
$319$	−4.78475			−0.267895
$320$	−10.7810	+	7.83284i	−0.602675	+	0.437869i
$321$	0.743044	+	2.28685i	0.0414727	+	0.127640i
$322$	0.355176	−	1.09312i	0.0197932	−	0.0609171i
$323$	45.8697	+	33.3263i	2.55226	+	1.85432i
$324$	−4.55052	−	3.30614i	−0.252807	−	0.183675i
$325$	55.7180			3.09068
$326$	9.08088	−	27.9481i	0.502944	−	1.54790i
$327$	−1.88038			−0.103985
$328$	3.66640	−	13.0890i	0.202443	−	0.722718i
$329$	1.57211			0.0866733
$330$	−2.61058	+	8.03455i	−0.143708	+	0.442287i
$331$	−0.161120			−0.00885595			−0.00442797	−	0.999990i	$-0.501409\pi$
$331$	−0.161120			−0.00885595			−0.00442797	+	0.999990i	$0.501409\pi$
$332$	−0.852779	−	0.619581i	−0.0468023	−	0.0340039i
$333$	6.31789	+	4.59022i	0.346218	+	0.251542i
$334$	−6.01155	+	18.5016i	−0.328937	+	1.01236i
$335$	5.86369	+	18.0466i	0.320367	+	0.985990i
$336$	−1.39023	+	1.01006i	−0.0758432	+	0.0551033i
$337$	−11.5152			−0.627276			−0.313638	−	0.949543i	$-0.601548\pi$
$337$	−11.5152			−0.627276			−0.313638	+	0.949543i	$0.601548\pi$
$338$	28.2561	−	20.5293i	1.53693	−	1.11664i
$339$	−2.41130	+	1.75191i	−0.130964	+	0.0951508i
$340$	−15.2548	−	11.0832i	−0.827306	−	0.601073i
$341$	−0.762833	+	2.34776i	−0.0413097	+	0.127138i
$342$	−38.5851			−2.08644
$343$	−0.809017	−	0.587785i	−0.0436828	−	0.0317374i
$344$	−5.58561	−	17.1907i	−0.301156	−	0.926862i
$345$	−0.752396	+	0.546648i	−0.0405076	+	0.0294305i
$346$	−8.73471	+	26.8827i	−0.469581	+	1.44522i
$347$	−9.12192	−	28.0744i	−0.489690	−	1.50711i	−0.825071	−	0.565029i	$-0.808865\pi$
$347$	−9.12192	−	28.0744i	−0.489690	−	1.50711i	0.335380	−	0.942083i	$-0.391135\pi$
$348$	−0.0953477	−	0.293450i	−0.00511117	−	0.0157306i
$349$	5.17012	+	15.9120i	0.276750	+	0.851749i	0.988751	+	0.149571i	$0.0477892\pi$
$349$	5.17012	+	15.9120i	0.276750	+	0.851749i	−0.712001	+	0.702179i	$0.752211\pi$
$350$	−4.84630	−	14.9154i	−0.259046	−	0.797261i
$351$	3.71359	−	11.4293i	0.198217	−	0.610049i
$352$	11.9922	−	8.71286i	0.639187	−	0.464397i
$353$	−3.12944	−	9.63142i	−0.166563	−	0.512629i	0.832585	−	0.553897i	$-0.186860\pi$
$353$	−3.12944	−	9.63142i	−0.166563	−	0.512629i	−0.999148	+	0.0412687i	$0.986860\pi$
$354$	0.286946	+	0.208479i	0.0152510	+	0.0110805i
$355$	1.79826			0.0954419
$356$	−2.60287	+	8.01081i	−0.137952	+	0.424572i
$357$	1.96878	+	1.43041i	0.104199	+	0.0757051i
$358$	31.0208	−	22.5379i	1.63950	−	1.19117i
$359$	12.6765	−	9.21002i	0.669040	−	0.486086i	−0.200664	−	0.979660i	$-0.564310\pi$
$359$	12.6765	−	9.21002i	0.669040	−	0.486086i	0.869704	+	0.493574i	$0.164310\pi$
$360$	−23.2835			−1.22715
$361$	−38.2825	+	27.8139i	−2.01487	+	1.46389i
$362$	−1.15242	−	3.54678i	−0.0605698	−	0.186415i
$363$	−0.414346	+	1.27523i	−0.0217475	+	0.0669321i
$364$	−3.36274	−	2.44317i	−0.176255	−	0.128057i
$365$	−23.3699	−	16.9792i	−1.22324	−	0.888734i
$366$	2.46999			0.129109
$367$	3.47594	−	10.6978i	0.181443	−	0.558423i	−0.818426	−	0.574611i	$-0.805153\pi$
$367$	3.47594	−	10.6978i	0.181443	−	0.558423i	0.999869	+	0.0161885i	$0.00515319\pi$
$368$	3.43211			0.178911
$369$	14.4508	−	11.4338i	0.752279	−	0.595218i
$370$	−17.0275			−0.885220
$371$	2.03519	−	6.26366i	0.105662	−	0.325193i
$372$	−0.159190			−0.00825362
$373$	23.1788	+	16.8404i	1.20015	+	0.871961i	0.994300	−	0.106623i	$-0.0340037\pi$
$373$	23.1788	+	16.8404i	1.20015	+	0.871961i	0.205851	+	0.978583i	$0.434004\pi$
$374$	−35.7188	−	25.9513i	−1.84698	−	1.34191i
$375$	−1.86305	+	5.73388i	−0.0962075	+	0.296096i
$376$	1.03129	+	3.17400i	0.0531849	+	0.163686i
$377$	−5.87840	+	4.27091i	−0.302753	+	0.219963i
$378$	−3.38255			−0.173980
$379$	4.27803	−	3.10817i	0.219748	−	0.159656i	−0.472465	−	0.881349i	$-0.656636\pi$
$379$	4.27803	−	3.10817i	0.219748	−	0.159656i	0.692213	+	0.721693i	$0.256636\pi$
$380$	17.8435	−	12.9641i	0.915354	−	0.665043i
$381$	−1.38479	−	1.00611i	−0.0709447	−	0.0515443i
$382$	−7.20202	+	22.1655i	−0.368487	+	1.13409i
$383$	6.19683			0.316643			0.158322	−	0.987388i	$-0.449392\pi$
$383$	6.19683			0.316643			0.158322	+	0.987388i	$0.449392\pi$
$384$	−3.80439	−	2.76405i	−0.194142	−	0.141053i
$385$	−4.53638	−	13.9615i	−0.231195	−	0.711546i
$386$	1.16853	−	0.848989i	0.0594768	−	0.0432124i
$387$	7.57212	−	23.3046i	0.384913	−	1.18464i
$388$	0.419743	+	1.29183i	0.0213092	+	0.0655830i
$389$	2.75565	+	8.48103i	0.139717	+	0.430005i	0.996294	−	0.0860145i	$-0.0274131\pi$
$389$	2.75565	+	8.48103i	0.139717	+	0.430005i	−0.856577	+	0.516020i	$0.827413\pi$
$390$	3.96442	+	12.2012i	0.200746	+	0.617833i
$391$	−1.50195	−	4.62253i	−0.0759569	−	0.233771i
$392$	0.655993	−	2.01894i	0.0331326	−	0.101972i
$393$	0.879034	−	0.638656i	0.0443414	−	0.0322159i
$394$	0.905510	+	2.78687i	0.0456189	+	0.140401i
$395$	11.7118	+	8.50911i	0.589284	+	0.428140i
$396$	7.87694			0.395831
$397$	2.73089	−	8.40481i	0.137059	−	0.421825i	−0.858845	−	0.512235i	$-0.828818\pi$
$397$	2.73089	−	8.40481i	0.137059	−	0.421825i	0.995905	+	0.0904098i	$0.0288177\pi$
$398$	19.2423	+	13.9803i	0.964528	+	0.700771i
$399$	−2.30289	+	1.67315i	−0.115289	+	0.0837622i
$400$	37.8867	−	27.5263i	1.89433	−	1.37631i
$401$	19.4787			0.972721			0.486360	−	0.873758i	$-0.338324\pi$
$401$	19.4787			0.972721			0.486360	+	0.873758i	$0.338324\pi$
$402$	−2.31796	+	1.68410i	−0.115609	+	0.0839952i
$403$	1.15843	+	3.56530i	0.0577057	+	0.177600i
$404$	−4.34595	+	13.3754i	−0.216219	+	0.665453i
$405$	−24.4059	−	17.7319i	−1.21274	−	0.881106i
$406$	1.65459	+	1.20213i	0.0821161	+	0.0596609i
$407$	−10.4523			−0.518099
$408$	−1.59639	+	4.91319i	−0.0790332	+	0.243239i
$409$	−11.5580			−0.571507			−0.285754	−	0.958303i	$-0.592244\pi$
$409$	−11.5580			−0.571507			−0.285754	+	0.958303i	$0.592244\pi$
$410$	−10.8374	+	38.6893i	−0.535220	+	1.91073i
$411$	−6.14937			−0.303326
$412$	2.57277	−	7.91817i	0.126751	−	0.390100i
$413$	−0.616332			−0.0303277
$414$	2.67598	+	1.94421i	0.131517	+	0.0955528i
$415$	−4.57373	−	3.32301i	−0.224516	−	0.163120i
$416$	6.95611	−	21.4087i	0.341051	−	1.04965i
$417$	−0.103270	−	0.317832i	−0.00505715	−	0.0155643i
$418$	41.7804	−	30.3552i	2.04355	−	1.48472i
$419$	−35.1922			−1.71925			−0.859626	−	0.510923i	$-0.829304\pi$
$419$	−35.1922			−1.71925			−0.859626	+	0.510923i	$0.829304\pi$
$420$	0.765867	−	0.556435i	0.0373705	−	0.0271512i
$421$	12.5120	−	9.09050i	0.609797	−	0.443044i	−0.239546	−	0.970885i	$-0.576998\pi$
$421$	12.5120	−	9.09050i	0.609797	−	0.443044i	0.849343	+	0.527841i	$0.176998\pi$
$422$	8.72092	+	6.33612i	0.424528	+	0.308437i
$423$	−1.39807	+	4.30282i	−0.0679766	+	0.209211i
$424$	13.9810			0.678978
$425$	−53.6535	−	38.9816i	−2.60258	−	1.89088i
$426$	0.0839065	+	0.258238i	0.00406529	+	0.0125117i
$427$	−3.47237	+	2.52282i	−0.168040	+	0.122088i
$428$	−1.51062	+	4.64920i	−0.0730184	+	0.224727i
$429$	2.43353	+	7.48965i	0.117492	+	0.361604i
$430$	16.5103	+	50.8135i	0.796197	+	2.45044i
$431$	−8.38815	−	25.8161i	−0.404043	−	1.24352i	−0.921692	−	0.387923i	$-0.873193\pi$
$431$	−8.38815	−	25.8161i	−0.404043	−	1.24352i	0.517649	−	0.855593i	$-0.326807\pi$
$432$	−3.12124	−	9.60620i	−0.150171	−	0.462178i
$433$	−2.27448	+	7.00012i	−0.109304	+	0.336404i	−0.990717	−	0.135944i	$-0.956593\pi$
$433$	−2.27448	+	7.00012i	−0.109304	+	0.336404i	0.881412	+	0.472348i	$0.156593\pi$
$434$	0.853649	−	0.620212i	0.0409765	−	0.0297711i
$435$	−0.511381	−	1.57387i	−0.0245188	−	0.0754612i
$436$	−3.09274	−	2.24701i	−0.148116	−	0.107612i
$437$	5.68524			0.271962
$438$	1.34785	−	4.14826i	0.0644028	−	0.198212i
$439$	−9.36870	−	6.80676i	−0.447144	−	0.324869i	0.341323	−	0.939946i	$-0.389125\pi$
$439$	−9.36870	−	6.80676i	−0.447144	−	0.324869i	−0.788467	+	0.615077i	$0.789125\pi$
$440$	25.2117	−	18.3174i	1.20192	−	0.873245i
$441$	2.32821	−	1.69154i	0.110867	−	0.0805496i
$442$	−67.0473			−3.18912
$443$	−17.2978	+	12.5676i	−0.821844	+	0.597104i	−0.917240	−	0.398335i	$-0.869588\pi$
$443$	−17.2978	+	12.5676i	−0.821844	+	0.597104i	0.0953964	+	0.995439i	$0.469588\pi$
$444$	−0.208286	−	0.641039i	−0.00988483	−	0.0304224i
$445$	−13.9600	+	42.9646i	−0.661769	+	2.03672i
$446$	−33.7664	−	24.5327i	−1.59888	−	1.16166i
$447$	−2.21003	−	1.60568i	−0.104531	−	0.0759463i
$448$	3.49650			0.165194
$449$	−8.98166	+	27.6427i	−0.423871	+	1.30454i	0.480200	+	0.877159i	$0.340564\pi$
$449$	−8.98166	+	27.6427i	−0.423871	+	1.30454i	−0.904071	+	0.427382i	$0.859436\pi$
$450$	45.1328			2.12758
$451$	−6.65246	+	23.7492i	−0.313252	+	1.11831i
$452$	−6.05945			−0.285013
$453$	−1.78119	+	5.48193i	−0.0836875	+	0.257564i
$454$	−10.5112			−0.493317
$455$	−18.0354	−	13.1035i	−0.845514	−	0.614302i
$456$	−4.88866	−	3.55182i	−0.228933	−	0.166329i
$457$	0.733322	−	2.25693i	0.0343033	−	0.105575i	−0.932439	−	0.361328i	$-0.882323\pi$
$457$	0.733322	−	2.25693i	0.0343033	−	0.105575i	0.966742	+	0.255753i	$0.0823234\pi$
$458$	−10.0003	−	30.7777i	−0.467282	−	1.43815i
$459$	−11.5722	+	8.40767i	−0.540142	+	0.392436i
$460$	−1.89073			−0.0881555
$461$	−5.43968	+	3.95216i	−0.253351	+	0.184070i	−0.707211	−	0.707003i	$-0.750047\pi$
$461$	−5.43968	+	3.95216i	−0.253351	+	0.184070i	0.453860	+	0.891073i	$0.350047\pi$
$462$	1.79327	−	1.30289i	0.0834304	−	0.0606157i
$463$	21.2874	+	15.4662i	0.989308	+	0.718774i	0.959769	−	0.280789i	$-0.0905963\pi$
$463$	21.2874	+	15.4662i	0.989308	+	0.718774i	0.0295384	+	0.999564i	$0.490596\pi$
$464$	−1.88720	+	5.80819i	−0.0876108	+	0.269638i
$465$	−0.853787			−0.0395934
$466$	−1.87288	−	1.36073i	−0.0867595	−	0.0630345i
$467$	−2.98590	−	9.18967i	−0.138171	−	0.425247i	0.857899	−	0.513819i	$-0.171770\pi$
$467$	−2.98590	−	9.18967i	−0.138171	−	0.425247i	−0.996070	+	0.0885718i	$0.971770\pi$
$468$	9.67736	−	7.03101i	0.447336	−	0.325009i
$469$	1.53852	−	4.73508i	0.0710422	−	0.218646i
$470$	−3.04837	−	9.38191i	−0.140611	−	0.432755i
$471$	−0.612941	−	1.88644i	−0.0282428	−	0.0869225i
$472$	−0.404309	−	1.24434i	−0.0186098	−	0.0572752i
$473$	10.1347	+	31.1915i	0.465996	+	1.43419i
$474$	−0.675473	+	2.07889i	−0.0310255	+	0.0954867i
$475$	62.7586	−	45.5968i	2.87956	−	2.09213i
$476$	1.52884	+	4.70529i	0.0700743	+	0.215667i
$477$	15.3336	+	11.1405i	0.702076	+	0.510088i
$478$	−16.8608			−0.771195
$479$	−7.39899	+	22.7718i	−0.338069	+	1.04047i	0.627122	+	0.778921i	$0.284233\pi$
$479$	−7.39899	+	22.7718i	−0.338069	+	1.04047i	−0.965191	+	0.261547i	$0.915767\pi$
$480$	4.14765	+	3.01344i	0.189313	+	0.137544i
$481$	−12.8413	+	9.32976i	−0.585513	+	0.425400i
$482$	6.40786	−	4.65558i	0.291870	−	0.212056i
$483$	0.244018			0.0111032
$484$	−2.20535	+	1.60228i	−0.100243	+	0.0728311i
$485$	2.25121	+	6.92853i	0.102222	+	0.314608i
$486$	4.54340	−	13.9831i	0.206093	−	0.634288i
$487$	−29.1636	−	21.1886i	−1.32153	−	0.960147i	−0.999912	−	0.0132768i	$-0.995774\pi$
$487$	−29.1636	−	21.1886i	−1.32153	−	0.960147i	−0.321617	−	0.946870i	$-0.604226\pi$
$488$	−7.37127	−	5.35554i	−0.333682	−	0.242434i
$489$	6.23887			0.282132
$490$	−1.93903	+	5.96771i	−0.0875963	+	0.269594i
$491$	20.7740			0.937518			0.468759	−	0.883326i	$-0.344701\pi$
$491$	20.7740			0.937518			0.468759	+	0.883326i	$0.344701\pi$
$492$	−1.58911	+	0.0652629i	−0.0716426	+	0.00294228i
$493$	8.64861			0.389514
$494$	24.2348	−	74.5870i	1.09037	−	3.35583i
$495$	42.2466			1.89884
$496$	2.54906	+	1.85200i	0.114456	+	0.0831573i
$497$	−0.381718	−	0.277335i	−0.0171224	−	0.0124402i
$498$	0.263788	−	0.811857i	0.0118206	−	0.0363802i
$499$	1.85351	+	5.70453i	0.0829747	+	0.255370i	0.983934	−	0.178535i	$-0.0571356\pi$
$499$	1.85351	+	5.70453i	0.0829747	+	0.255370i	−0.900959	+	0.433904i	$0.857136\pi$
$500$	−9.91607	+	7.20444i	−0.443460	+	0.322192i
$501$	−4.13013			−0.184521
$502$	31.7975	−	23.1023i	1.41919	−	1.03110i
$503$	3.25968	−	2.36830i	0.145342	−	0.105597i	−0.512738	−	0.858545i	$-0.671369\pi$
$503$	3.25968	−	2.36830i	0.145342	−	0.105597i	0.658080	+	0.752948i	$0.271369\pi$
$504$	4.94241	+	3.59087i	0.220152	+	0.159950i
$505$	−23.3087	+	71.7368i	−1.03722	+	3.19225i
$506$	−4.42711			−0.196809
$507$	5.99891	+	4.35847i	0.266421	+	0.193566i
$508$	−1.07534	−	3.30956i	−0.0477106	−	0.146838i
$509$	19.5722	−	14.2200i	0.867522	−	0.630291i	−0.0623991	−	0.998051i	$-0.519875\pi$
$509$	19.5722	−	14.2200i	0.867522	−	0.630291i	0.929921	+	0.367760i	$0.119875\pi$
$510$	4.71872	−	14.5227i	0.208949	−	0.643077i
$511$	2.34215	+	7.20839i	0.103610	+	0.318880i
$512$	0.603513	+	1.85742i	0.0266718	+	0.0820873i
$513$	−5.17029	−	15.9125i	−0.228274	−	0.702554i
$514$	−4.44091	−	13.6677i	−0.195880	−	0.602857i
$515$	13.7986	−	42.4677i	0.608039	−	1.87135i
$516$	−1.71103	+	1.24313i	−0.0753237	+	0.0547259i
$517$	−1.87122	−	5.75903i	−0.0822962	−	0.253282i
$518$	3.61445	+	2.62605i	0.158810	+	0.115382i
$519$	−6.00104			−0.263416
$520$	14.6241	−	45.0083i	0.641308	−	1.97374i
$521$	−0.172934	−	0.125644i	−0.00757640	−	0.00550457i	0.583991	−	0.811760i	$-0.301490\pi$
$521$	−0.172934	−	0.125644i	−0.00757640	−	0.00550457i	−0.591567	+	0.806256i	$0.701490\pi$
$522$	−4.76163	+	3.45953i	−0.208411	+	0.151419i
$523$	−28.3436	+	20.5929i	−1.23938	+	0.900463i	−0.997557	−	0.0698569i	$-0.977746\pi$
$523$	−28.3436	+	20.5929i	−1.23938	+	0.900463i	−0.241824	+	0.970320i	$0.577746\pi$
$524$	2.20896			0.0964989
$525$	2.69368	−	1.95707i	0.117562	−	0.0854137i
$526$	−6.31815	−	19.4453i	−0.275485	−	0.847854i
$527$	1.37885	−	4.24366i	0.0600636	−	0.184857i
$528$	5.35483	+	3.89051i	0.233039	+	0.169313i
$529$	18.2131	+	13.2326i	0.791874	+	0.575330i
$530$	−41.3260			−1.79509
$531$	0.548102	−	1.68688i	0.0237856	−	0.0732045i
$532$	−5.78703			−0.250899
$533$	13.0257	+	35.1155i	0.564206	+	1.52102i
$534$	−6.82126			−0.295185
$535$	−8.10192	+	24.9351i	−0.350277	+	1.07804i
$536$	10.5691			0.456515
$537$	6.58587	+	4.78491i	0.284201	+	0.206484i
$538$	−13.8868	−	10.0893i	−0.598701	−	0.434982i
$539$	−1.19026	+	3.66324i	−0.0512681	+	0.157787i
$540$	1.71947	+	5.29198i	0.0739942	+	0.227731i
$541$	15.2804	−	11.1019i	0.656956	−	0.477307i	−0.208677	−	0.977985i	$-0.566916\pi$
$541$	15.2804	−	11.1019i	0.656956	−	0.477307i	0.865634	+	0.500678i	$0.166916\pi$
$542$	19.3665			0.831861
$543$	0.640540	−	0.465379i	0.0274882	−	0.0199713i
$544$	−21.6764	+	15.7488i	−0.929366	+	0.675224i
$545$	−16.5874	−	12.0514i	−0.710525	−	0.516227i
$546$	1.04019	−	3.20137i	0.0445159	−	0.137006i
$547$	37.4256			1.60020			0.800102	−	0.599864i	$-0.204779\pi$
$547$	37.4256			1.60020			0.800102	+	0.599864i	$0.204779\pi$
$548$	−10.1141	−	7.34833i	−0.432053	−	0.313905i
$549$	−3.81693	−	11.7473i	−0.162903	−	0.501363i
$550$	−48.8703	+	35.5064i	−2.08384	+	1.51400i
$551$	−3.12611	+	9.62117i	−0.133177	+	0.409876i
$552$	0.160074	+	0.492657i	0.00681319	+	0.0209689i
$553$	−1.17376	−	3.61247i	−0.0499134	−	0.153618i
$554$	8.02052	+	24.6846i	0.340759	+	1.04875i
$555$	−1.11711	−	3.43810i	−0.0474185	−	0.145939i
$556$	0.209949	−	0.646156i	0.00890382	−	0.0274031i
$557$	−29.0708	+	21.1211i	−1.23177	+	0.894931i	−0.997021	−	0.0771253i	$-0.975426\pi$
$557$	−29.0708	+	21.1211i	−1.23177	+	0.894931i	−0.234746	+	0.972057i	$0.575426\pi$
$558$	0.938357	+	2.88797i	0.0397238	+	0.122257i
$559$	40.2930	+	29.2746i	1.70421	+	1.23818i
$560$	−18.7371			−0.791787
$561$	2.89656	−	8.91469i	0.122293	−	0.376379i
$562$	14.8132	+	10.7624i	0.624858	+	0.453986i
$563$	−27.4184	+	19.9206i	−1.15555	+	0.839554i	−0.989208	−	0.146515i	$-0.953194\pi$
$563$	−27.4184	+	19.9206i	−1.15555	+	0.839554i	−0.166338	+	0.986069i	$0.553194\pi$
$564$	0.315914	−	0.229525i	0.0133024	−	0.00966474i
$565$	−32.4988			−1.36723
$566$	29.9901	−	21.7891i	1.26058	−	0.915864i
$567$	2.44597	+	7.52793i	0.102721	+	0.316143i
$568$	0.309517	−	0.952596i	0.0129870	−	0.0399700i
$569$	7.68678	+	5.58477i	0.322246	+	0.234126i	0.737133	−	0.675747i	$-0.236179\pi$
$569$	7.68678	+	5.58477i	0.322246	+	0.234126i	−0.414887	+	0.909873i	$0.636179\pi$
$570$	14.4502	+	10.4987i	0.605254	+	0.439743i
$571$	5.54323			0.231977			0.115988	−	0.993251i	$-0.462996\pi$
$571$	5.54323			0.231977			0.115988	+	0.993251i	$0.462996\pi$
$572$	−4.94740	+	15.2265i	−0.206861	+	0.636653i
$573$	−4.94803			−0.206707
$574$	8.26726	−	6.54122i	0.345069	−	0.273025i
$575$	−6.64999			−0.277324
$576$	−3.10942	+	9.56981i	−0.129559	+	0.398742i
$577$	20.4167			0.849956			0.424978	−	0.905204i	$-0.360282\pi$
$577$	20.4167			0.849956			0.424978	+	0.905204i	$0.360282\pi$
$578$	41.9197	+	30.4565i	1.74363	+	1.26682i
$579$	0.248085	+	0.180245i	0.0103101	+	0.00749071i
$580$	1.03964	−	3.19969i	0.0431688	−	0.132860i
$581$	0.458382	+	1.41076i	0.0190169	+	0.0585280i
$582$	−0.889923	+	0.646567i	−0.0368885	+	0.0268011i
$583$	−25.3677			−1.05062
$584$	−13.0169	+	9.45730i	−0.538641	+	0.391346i
$585$	51.9028	−	37.7096i	2.14592	−	1.55910i
$586$	5.01859	+	3.64622i	0.207316	+	0.150624i
$587$	0.392929	−	1.20931i	0.0162179	−	0.0499136i	−0.942620	−	0.333867i	$-0.891646\pi$
$587$	0.392929	−	1.20931i	0.0162179	−	0.0499136i	0.958838	+	0.283954i	$0.0916462\pi$
$588$	−0.248386			−0.0102433
$589$	4.22248	+	3.06781i	0.173984	+	0.126407i
$590$	1.19508	+	3.67809i	0.0492008	+	0.151425i
$591$	−0.503302	+	0.365670i	−0.0207031	+	0.0150417i
$592$	−4.12256	+	12.6879i	−0.169436	+	0.521471i
$593$	6.12877	+	18.8624i	0.251678	+	0.774587i	0.994466	+	0.105059i	$0.0335033\pi$
$593$	6.12877	+	18.8624i	0.251678	+	0.774587i	−0.742787	+	0.669527i	$0.766497\pi$
$594$	4.02612	+	12.3911i	0.165194	+	0.508414i
$595$	8.19967	+	25.2360i	0.336154	+	1.03457i
$596$	−1.71618	−	5.28187i	−0.0702976	−	0.216354i
$597$	−1.56042	+	4.80248i	−0.0638637	+	0.196552i
$598$	−5.43901	+	3.95167i	−0.222418	+	0.161596i
$599$	−6.46599	−	19.9003i	−0.264193	−	0.813103i	−0.991878	−	0.127192i	$-0.959404\pi$
$599$	−6.46599	−	19.9003i	−0.264193	−	0.813103i	0.727685	−	0.685912i	$-0.240596\pi$
$600$	5.71825	+	4.15455i	0.233446	+	0.169609i
$601$	27.8582			1.13636			0.568180	−	0.822904i	$-0.307648\pi$
$601$	27.8582			1.13636			0.568180	+	0.822904i	$0.307648\pi$
$602$	4.33199	−	13.3325i	0.176559	−	0.543392i
$603$	11.5916	+	8.42177i	0.472045	+	0.342961i
$604$	−9.48035	+	6.88788i	−0.385750	+	0.280264i
$605$	−11.8280	+	8.59357i	−0.480878	+	0.349378i
$606$	−11.3893			−0.462658
$607$	−0.815713	+	0.592650i	−0.0331088	+	0.0240549i	−0.604217	−	0.796820i	$-0.706514\pi$
$607$	−0.815713	+	0.592650i	−0.0331088	+	0.0240549i	0.571108	+	0.820875i	$0.306514\pi$
$608$	−9.68471	−	29.8065i	−0.392767	−	1.20881i
$609$	−0.134177	+	0.412953i	−0.00543711	+	0.0167337i
$610$	21.7885	+	15.8303i	0.882190	+	0.640949i
$611$	−7.43947	−	5.40509i	−0.300969	−	0.218667i
$612$	−14.2378			−0.575531
$613$	−7.48074	+	23.0234i	−0.302144	+	0.929905i	0.678583	+	0.734524i	$0.262594\pi$
$613$	−7.48074	+	23.0234i	−0.302144	+	0.929905i	−0.980727	+	0.195381i	$0.937406\pi$
$614$	21.3488			0.861568
$615$	−8.52291	+	0.350026i	−0.343677	+	0.0141144i
$616$	−8.17667			−0.329447
$617$	0.522922	−	1.60939i	0.0210521	−	0.0647916i	−0.939979	−	0.341233i	$-0.889155\pi$
$617$	0.522922	−	1.60939i	0.0210521	−	0.0647916i	0.961031	+	0.276442i	$0.0891553\pi$
$618$	6.74237			0.271218
$619$	1.55657	+	1.13091i	0.0625638	+	0.0454553i	0.618628	−	0.785684i	$-0.287689\pi$
$619$	1.55657	+	1.13091i	0.0625638	+	0.0454553i	−0.556064	+	0.831140i	$0.687689\pi$
$620$	−1.40426	−	1.02025i	−0.0563964	−	0.0409744i
$621$	−0.443221	+	1.36409i	−0.0177858	+	0.0547392i
$622$	11.2503	+	34.6249i	0.451097	+	1.38833i
$623$	9.58946	−	6.96715i	0.384193	−	0.279133i
$624$	10.0515			0.402381
$625$	−14.6510	+	10.6446i	−0.586041	+	0.425784i
$626$	41.1860	−	29.9234i	1.64612	−	1.19598i
$627$	8.87019	+	6.44457i	0.354241	+	0.257371i
$628$	1.24612	−	3.83515i	0.0497254	−	0.153039i
$629$	18.8928			0.753306
$630$	−14.6091	−	10.6141i	−0.582040	−	0.422877i
$631$	−7.30869	−	22.4938i	−0.290954	−	0.895465i	−0.984550	−	0.175101i	$-0.943975\pi$
$631$	−7.30869	−	22.4938i	−0.290954	−	0.895465i	0.693596	−	0.720364i	$-0.256025\pi$
$632$	6.52337	−	4.73951i	0.259486	−	0.188527i
$633$	−0.707208	+	2.17656i	−0.0281090	+	0.0865106i
$634$	1.03340	+	3.18047i	0.0410415	+	0.126313i
$635$	−5.76741	−	17.7503i	−0.228873	−	0.704397i
$636$	−0.505512	−	1.55581i	−0.0200449	−	0.0616918i
$637$	1.80752	+	5.56298i	0.0716167	+	0.220413i
$638$	2.43431	−	7.49203i	0.0963752	−	0.296612i
$639$	1.09852	−	0.798120i	0.0434567	−	0.0315731i
$640$	−15.8447	−	48.7649i	−0.626316	−	1.92760i
$641$	−2.74011	−	1.99081i	−0.108228	−	0.0786322i	0.532355	−	0.846521i	$-0.321307\pi$
$641$	−2.74011	−	1.99081i	−0.108228	−	0.0786322i	−0.640583	+	0.767889i	$0.721307\pi$
$642$	−3.95882			−0.156242
$643$	12.0180	−	36.9877i	0.473945	−	1.45865i	−0.373431	−	0.927658i	$-0.621819\pi$
$643$	12.0180	−	36.9877i	0.473945	−	1.45865i	0.847376	−	0.530994i	$-0.178181\pi$
$644$	0.401345	+	0.291595i	0.0158152	+	0.0114904i
$645$	−9.17679	+	6.66732i	−0.361336	+	0.262526i
$646$	−75.5196	+	54.8682i	−2.97128	+	2.15876i
$647$	19.3523			0.760819			0.380410	−	0.924818i	$-0.375783\pi$
$647$	19.3523			0.760819			0.380410	+	0.924818i	$0.375783\pi$
$648$	−13.5939	+	9.87654i	−0.534019	+	0.387987i
$649$	0.733595	+	2.25777i	0.0287961	+	0.0886254i
$650$	−28.3473	+	87.2441i	−1.11187	+	3.42199i
$651$	0.181234	+	0.131674i	0.00710312	+	0.00516072i
$652$	10.2613	+	7.45529i	0.401864	+	0.291972i
$653$	−31.1531			−1.21911			−0.609557	−	0.792742i	$-0.708653\pi$
$653$	−31.1531			−1.21911			−0.609557	+	0.792742i	$0.708653\pi$
$654$	0.956672	−	2.94433i	0.0374088	−	0.115133i
$655$	11.8474			0.462915
$656$	26.2052	+	17.4425i	1.02314	+	0.681015i
$657$	−21.8120			−0.850968
$658$	−0.799833	+	2.46163i	−0.0311807	+	0.0959645i
$659$	−48.4481			−1.88727			−0.943635	−	0.330988i	$-0.892618\pi$
$659$	−48.4481			−1.88727			−0.943635	+	0.330988i	$0.892618\pi$
$660$	−2.94994	−	2.14325i	−0.114826	−	0.0834261i
$661$	−19.9213	−	14.4737i	−0.774849	−	0.562961i	0.128579	−	0.991699i	$-0.458958\pi$
$661$	−19.9213	−	14.4737i	−0.774849	−	0.562961i	−0.903429	+	0.428738i	$0.858958\pi$
$662$	0.0819720	−	0.252284i	0.00318593	−	0.00980529i
$663$	−4.39870	−	13.5378i	−0.170831	−	0.525765i
$664$	−2.54753	+	1.85089i	−0.0988634	+	0.0718285i
$665$	−31.0377			−1.20359
$666$	−10.4017	+	7.55731i	−0.403059	+	0.292840i
$667$	0.701592	−	0.509736i	0.0271658	−	0.0197371i
$668$	−6.79300	−	4.93540i	−0.262829	−	0.190956i
$669$	2.73823	−	8.42739i	0.105866	−	0.325822i
$670$	−31.2408			−1.20694
$671$	13.3747	+	9.71731i	0.516326	+	0.375133i
$672$	−0.415680	−	1.27933i	−0.0160352	−	0.0493513i
$673$	35.3894	−	25.7119i	1.36416	−	0.991122i	0.365994	−	0.930617i	$-0.380729\pi$
$673$	35.3894	−	25.7119i	1.36416	−	0.991122i	0.998168	−	0.0605047i	$-0.0192710\pi$
$674$	5.85854	−	18.0307i	0.225663	−	0.694518i
$675$	6.04766	+	18.6128i	0.232775	+	0.716406i
$676$	4.65840	+	14.3371i	0.179169	+	0.551426i
$677$	−9.04847	−	27.8483i	−0.347761	−	1.07030i	−0.960089	−	0.279695i	$-0.909767\pi$
$677$	−9.04847	−	27.8483i	−0.347761	−	1.07030i	0.612328	−	0.790604i	$-0.290233\pi$
$678$	−1.51639	−	4.66696i	−0.0582364	−	0.179233i
$679$	0.590676	−	1.81791i	0.0226681	−	0.0697651i
$680$	−45.5710	+	33.1093i	−1.74757	+	1.26968i
$681$	−0.689599	−	2.12237i	−0.0264255	−	0.0813293i
$682$	−3.28805	−	2.38891i	−0.125906	−	0.0914761i
$683$	15.3471			0.587242			0.293621	−	0.955922i	$-0.405140\pi$
$683$	15.3471			0.587242			0.293621	+	0.955922i	$0.405140\pi$
$684$	5.14638	−	15.8389i	0.196777	−	0.605617i
$685$	−54.2452	−	39.4115i	−2.07260	−	1.50583i
$686$	1.33196	−	0.967726i	0.0508545	−	0.0369480i
$687$	5.55837	−	4.03839i	0.212065	−	0.154074i
$688$	41.8606			1.59592
$689$	−31.1660	+	22.6434i	−1.18733	+	0.862645i
$690$	−0.473157	−	1.45623i	−0.0180128	−	0.0554376i
$691$	−9.89346	+	30.4489i	−0.376365	+	1.15833i	0.566188	+	0.824276i	$0.308417\pi$
$691$	−9.89346	+	30.4489i	−0.376365	+	1.15833i	−0.942553	+	0.334056i	$0.891583\pi$
$692$	−9.87015	−	7.17108i	−0.375207	−	0.272604i
$693$	−8.96770	−	6.51542i	−0.340655	−	0.247500i
$694$	48.6002			1.84484
$695$	1.12602	−	3.46555i	0.0427125	−	0.131456i
$696$	−0.921745			−0.0349387
$697$	12.0246	−	42.9275i	0.455462	−	1.62599i
$698$	−27.5456			−1.04262
$699$	0.151878	−	0.467433i	0.00574456	−	0.0176799i
$700$	6.76906			0.255846
$701$	39.7723	+	28.8963i	1.50218	+	1.09140i	0.969503	+	0.245078i	$0.0788136\pi$
$701$	39.7723	+	28.8963i	1.50218	+	1.09140i	0.532676	+	0.846319i	$0.321186\pi$
$702$	16.0068	+	11.6296i	0.604136	+	0.438931i
$703$	−6.82896	+	21.0174i	−0.257559	+	0.792685i
$704$	−4.16174	−	12.8085i	−0.156851	−	0.482739i
$705$	1.69435	−	1.23102i	0.0638128	−	0.0463627i
$706$	16.6732			0.627503
$707$	16.0113	−	11.6329i	0.602166	−	0.437499i
$708$	−0.123851	+	0.0899832i	−0.00465461	+	0.00338177i
$709$	−7.30571	−	5.30791i	−0.274372	−	0.199343i	0.442087	−	0.896972i	$-0.354238\pi$
$709$	−7.30571	−	5.30791i	−0.274372	−	0.199343i	−0.716459	+	0.697629i	$0.754238\pi$
$710$	−0.914891	+	2.81575i	−0.0343353	+	0.105673i
$711$	10.9310			0.409946
$712$	20.3569	+	14.7901i	0.762906	+	0.554283i
$713$	−0.138260	−	0.425521i	−0.00517789	−	0.0159359i
$714$	−3.24140	+	2.35501i	−0.121306	+	0.0881341i
$715$	−26.5345	+	81.6648i	−0.992334	+	3.05409i
$716$	5.11419	+	15.7399i	0.191126	+	0.588227i
$717$	−1.10617	−	3.40443i	−0.0413106	−	0.127141i
$718$	7.97183	+	24.5348i	0.297506	+	0.915629i
$719$	10.8226	+	33.3085i	0.403614	+	1.24220i	0.922047	+	0.387079i	$0.126516\pi$
$719$	10.8226	+	33.3085i	0.403614	+	1.24220i	−0.518432	+	0.855119i	$0.673484\pi$
$720$	16.6628	−	51.2829i	0.620987	−	1.91120i
$721$	−9.47856	+	6.88658i	−0.353000	+	0.256470i
$722$	−24.0746	−	74.0940i	−0.895964	−	2.75749i
$723$	1.36042	+	0.988404i	0.0505946	+	0.0367591i
$724$	1.60964			0.0598217
$725$	3.65659	−	11.2538i	0.135802	−	0.417957i
$726$	−1.78596	−	1.29758i	−0.0662833	−	0.0481577i
$727$	−32.4067	+	23.5448i	−1.20190	+	0.873230i	−0.994470	−	0.105021i	$-0.966509\pi$
$727$	−32.4067	+	23.5448i	−1.20190	+	0.873230i	−0.207428	+	0.978250i	$0.566509\pi$
$728$	−10.0456	+	7.29855i	−0.372315	+	0.270502i
$729$	−20.6245			−0.763872
$730$	38.4761	−	27.9545i	1.42406	−	1.03464i
$731$	−18.3189	−	56.3798i	−0.677550	−	2.08528i
$732$	−0.329441	+	1.01392i	−0.0121765	+	0.0374754i
$733$	−12.8743	−	9.35375i	−0.475524	−	0.345489i	0.324066	−	0.946034i	$-0.394950\pi$
$733$	−12.8743	−	9.35375i	−0.475524	−	0.345489i	−0.799590	+	0.600546i	$0.794950\pi$
$734$	14.9824	+	10.8854i	0.553011	+	0.401786i
$735$	−1.33218			−0.0491381
$736$	−0.830217	+	2.55515i	−0.0306022	+	0.0941839i
$737$	−19.1770			−0.706393
$738$	10.5511	+	28.4443i	0.388391	+	1.04705i
$739$	38.0581			1.39999			0.699996	−	0.714147i	$-0.253185\pi$
$739$	38.0581			1.39999			0.699996	+	0.714147i	$0.253185\pi$
$740$	2.27109	−	6.98969i	0.0834869	−	0.256946i
$741$	16.6501			0.611657
$742$	8.77229	+	6.37344i	0.322041	+	0.233976i
$743$	−13.2425	−	9.62124i	−0.485820	−	0.352969i	0.317754	−	0.948173i	$-0.397071\pi$
$743$	−13.2425	−	9.62124i	−0.485820	−	0.352969i	−0.803575	+	0.595204i	$0.797071\pi$
$744$	−0.146954	+	0.452278i	−0.00538759	+	0.0165813i
$745$	−9.20444	−	28.3284i	−0.337225	−	1.03787i
$746$	−38.1614	+	27.7259i	−1.39719	+	1.01512i
$747$	−4.26884			−0.156189
$748$	15.4169	−	11.2010i	0.563698	−	0.409551i
$749$	5.56539	−	4.04349i	0.203355	−	0.147746i
$750$	−8.03033	−	5.83438i	−0.293226	−	0.213041i
$751$	3.90656	−	12.0232i	0.142552	−	0.438731i	−0.854136	−	0.520050i	$-0.825913\pi$
$751$	3.90656	−	12.0232i	0.142552	−	0.438731i	0.996688	+	0.0813191i	$0.0259133\pi$
$752$	−7.72890			−0.281844
$753$	6.75078	+	4.90473i	0.246012	+	0.178738i
$754$	−3.69673	−	11.3774i	−0.134627	−	0.414339i
$755$	−50.8462	+	36.9419i	−1.85048	+	1.34445i
$756$	0.451156	−	1.38852i	0.0164084	−	0.0504998i
$757$	−9.94682	−	30.6132i	−0.361523	−	1.11265i	−0.952130	−	0.305695i	$-0.901111\pi$
$757$	−9.94682	−	30.6132i	−0.361523	−	1.11265i	0.590606	−	0.806960i	$-0.298889\pi$
$758$	2.69031	+	8.27992i	0.0977165	+	0.300740i
$759$	−0.290444	−	0.893896i	−0.0105425	−	0.0324464i
$760$	−20.3605	−	62.6632i	−0.738553	−	2.27303i
$761$	−0.818525	+	2.51916i	−0.0296715	+	0.0913195i	−0.964796	−	0.263001i	$-0.915288\pi$
$761$	−0.818525	+	2.51916i	−0.0296715	+	0.0913195i	0.935124	+	0.354320i	$0.115288\pi$
$762$	2.27990	−	1.65645i	0.0825921	−	0.0600067i
$763$	1.66240	+	5.11633i	0.0601828	+	0.185224i
$764$	−8.13822	−	5.91276i	−0.294430	−	0.213916i
$765$	−76.3622			−2.76088
$766$	−3.15272	+	9.70308i	−0.113912	+	0.350587i
$767$	2.91658	+	2.11902i	0.105312	+	0.0765133i
$768$	4.28604	−	3.11399i	0.154659	−	0.112366i
$769$	−30.7749	+	22.3593i	−1.10977	+	0.806296i	−0.982627	−	0.185589i	$-0.940581\pi$
$769$	−30.7749	+	22.3593i	−1.10977	+	0.806296i	−0.127143	+	0.991884i	$0.540581\pi$
$770$	24.1691			0.870995
$771$	2.46835	−	1.79336i	0.0888956	−	0.0645864i
$772$	0.192648	+	0.592911i	0.00693357	+	0.0213393i
$773$	−2.44998	+	7.54026i	−0.0881196	+	0.271204i	−0.985400	−	0.170258i	$-0.945540\pi$
$773$	−2.44998	+	7.54026i	−0.0881196	+	0.271204i	0.897280	+	0.441462i	$0.145540\pi$
$774$	32.6382	+	23.7131i	1.17316	+	0.852349i
$775$	−4.93901	−	3.58840i	−0.177414	−	0.128899i
$776$	4.05774			0.145664
$777$	−0.293107	+	0.902092i	−0.0105152	+	0.0323624i
$778$	−14.6817			−0.526364
$779$	43.4084	+	28.8932i	1.55527	+	1.03521i
$780$	−5.53729			−0.198267
$781$	−0.561600	+	1.72843i	−0.0200956	+	0.0618480i
$782$	8.00216			0.286157
$783$	−2.06475	−	1.50013i	−0.0737883	−	0.0536103i
$784$	3.97733	+	2.88970i	0.142048	+	0.103204i
$785$	6.68332	−	20.5691i	0.238538	−	0.734144i
$786$	0.552795	+	1.70133i	0.0197176	+	0.0606844i
$787$	1.86333	−	1.35379i	0.0664204	−	0.0482572i	−0.554080	−	0.832464i	$-0.686930\pi$
$787$	1.86333	−	1.35379i	0.0664204	−	0.0482572i	0.620500	+	0.784206i	$0.286930\pi$
$788$	−1.26477			−0.0450555
$789$	3.51177	−	2.55145i	0.125022	−	0.0908340i
$790$	−19.2822	+	14.0093i	−0.686030	+	0.498430i
$791$	6.89854	+	5.01208i	0.245284	+	0.178209i
$792$	7.27148	−	22.3793i	0.258381	−	0.795214i
$793$	25.1055			0.891523
$794$	11.7710	+	8.55212i	0.417737	+	0.303504i
$795$	−2.71123	−	8.34430i	−0.0961573	−	0.295942i
$796$	−8.30532	+	6.03417i	−0.294374	+	0.213875i
$797$	9.86336	−	30.3563i	0.349378	−	1.07528i	−0.609820	−	0.792540i	$-0.708758\pi$
$797$	9.86336	−	30.3563i	0.349378	−	1.07528i	0.959198	−	0.282736i	$-0.0912419\pi$
$798$	−1.44821	−	4.45714i	−0.0512661	−	0.157781i
$799$	3.38230	+	10.4096i	0.119657	+	0.368267i
$800$	11.3282	+	34.8645i	0.400511	+	1.23265i
$801$	10.5410	+	32.4419i	0.372449	+	1.14628i
$802$	−9.91007	+	30.5000i	−0.349937	+	1.07699i
$803$	23.6183	−	17.1597i	0.833472	−	0.605553i
$804$	−0.382147	−	1.17613i	−0.0134773	−	0.0414789i
$805$	2.15255	+	1.56392i	0.0758673	+	0.0551208i
$806$	−6.17196			−0.217398
$807$	1.12612	−	3.46585i	0.0396415	−	0.122004i
$808$	33.9893	+	24.6947i	1.19574	+	0.868756i
$809$	7.73267	−	5.61812i	0.271866	−	0.197522i	−0.443496	−	0.896277i	$-0.646262\pi$
$809$	7.73267	−	5.61812i	0.271866	−	0.197522i	0.715362	+	0.698754i	$0.246262\pi$
$810$	40.1817	−	29.1937i	1.41184	−	1.02576i
$811$	22.3697			0.785506			0.392753	−	0.919644i	$-0.371523\pi$
$811$	22.3697			0.785506			0.392753	+	0.919644i	$0.371523\pi$
$812$	−0.714153	+	0.518863i	−0.0250619	+	0.0182085i
$813$	1.27055	+	3.91036i	0.0445602	+	0.137142i
$814$	5.31773	−	16.3663i	0.186386	−	0.573638i
$815$	55.0348	+	39.9851i	1.92778	+	1.40062i
$816$	−9.67905	−	7.03224i	−0.338834	−	0.246178i
$817$	69.3414			2.42595
$818$	5.88030	−	18.0977i	0.205600	−	0.632772i
$819$	−16.8332			−0.588198
$820$	−14.4362	−	9.60895i	−0.504135	−	0.335559i
$821$	43.9732			1.53467			0.767337	−	0.641244i	$-0.221581\pi$
$821$	43.9732			1.53467			0.767337	+	0.641244i	$0.221581\pi$
$822$	3.12857	−	9.62876i	0.109122	−	0.335842i
$823$	−48.9636			−1.70677			−0.853383	−	0.521285i	$-0.825453\pi$
$823$	−48.9636			−1.70677			−0.853383	+	0.521285i	$0.825453\pi$
$824$	−20.1214	−	14.6191i	−0.700964	−	0.509280i
$825$	−10.3754	−	7.53818i	−0.361226	−	0.262446i
$826$	0.313567	−	0.965061i	0.0109104	−	0.0335788i
$827$	−7.79804	−	23.9999i	−0.271164	−	0.834558i	−0.990209	−	0.139594i	$-0.955420\pi$
$827$	−7.79804	−	23.9999i	−0.271164	−	0.834558i	0.719045	−	0.694964i	$-0.244580\pi$
$828$	−1.15500	+	0.839158i	−0.0401391	+	0.0291627i
$829$	−15.8187			−0.549405			−0.274702	−	0.961529i	$-0.588579\pi$
$829$	−15.8187			−0.549405			−0.274702	+	0.961529i	$0.588579\pi$
$830$	7.53016	−	5.47098i	0.261376	−	0.189901i
$831$	−4.45798	+	3.23891i	−0.154646	+	0.112357i
$832$	−16.5460	−	12.0213i	−0.573628	−	0.416765i
$833$	2.15144	−	6.62144i	0.0745429	−	0.229419i
$834$	0.550206			0.0190521
$835$	−36.4330	−	26.4702i	−1.26082	−	0.916037i
$836$	6.88807	+	21.1993i	0.238229	+	0.733193i
$837$	−1.06526	+	0.773958i	−0.0368208	+	0.0267519i
$838$	17.9045	−	55.1045i	0.618502	−	1.90355i
$839$	8.25717	+	25.4129i	0.285069	+	0.877352i	0.986378	+	0.164495i	$0.0525994\pi$
$839$	8.25717	+	25.4129i	0.285069	+	0.877352i	−0.701309	+	0.712857i	$0.747401\pi$
$840$	−0.873898	−	2.68958i	−0.0301524	−	0.0927994i
$841$	−8.48464	−	26.1130i	−0.292574	−	0.900450i
$842$	7.86838	+	24.2164i	0.271162	+	0.834551i
$843$	−1.20125	+	3.69708i	−0.0413733	+	0.127334i
$844$	−3.76411	+	2.73479i	−0.129566	+	0.0941352i
$845$	24.9845	+	76.8944i	0.859493	+	2.64525i
$846$	−6.02613	−	4.37824i	−0.207183	−	0.150527i
$847$	3.83607			0.131809
$848$	−10.0055	+	30.7937i	−0.343590	+	1.05746i
$849$	6.36705	+	4.62593i	0.218517	+	0.158762i
$850$	88.3349	−	64.1790i	3.02986	−	2.20132i
$851$	1.53262	−	1.11351i	0.0525376	−	0.0381708i
$852$	−0.117196			−0.00401507
$853$	−0.763368	+	0.554619i	−0.0261372	+	0.0189898i	−0.600777	−	0.799417i	$-0.705142\pi$
$853$	−0.763368	+	0.554619i	−0.0261372	+	0.0189898i	0.574640	+	0.818406i	$0.305142\pi$
$854$	−2.18366	−	6.72060i	−0.0747232	−	0.229974i
$855$	27.6017	−	84.9493i	0.943958	−	2.90520i
$856$	11.8144	+	8.58368i	0.403808	+	0.293384i
$857$	−40.5317	−	29.4480i	−1.38454	−	1.00593i	−0.996440	−	0.0843074i	$-0.973132\pi$
$857$	−40.5317	−	29.4480i	−1.38454	−	1.00593i	−0.388098	−	0.921618i	$-0.626868\pi$
$858$	−12.9655			−0.442634
$859$	7.91672	−	24.3652i	0.270115	−	0.831329i	−0.720356	−	0.693605i	$-0.756021\pi$
$859$	7.91672	−	24.3652i	0.270115	−	0.831329i	0.990471	−	0.137724i	$-0.0439786\pi$
$860$	−23.0607			−0.786363
$861$	1.86315	+	1.24013i	0.0634958	+	0.0422636i
$862$	44.6907			1.52217
$863$	4.87830	−	15.0139i	0.166059	−	0.511078i	−0.833054	−	0.553192i	$-0.813409\pi$
$863$	4.87830	−	15.0139i	0.166059	−	0.511078i	0.999113	+	0.0421145i	$0.0134094\pi$
$864$	7.90666			0.268990
$865$	−52.9368	−	38.4608i	−1.79991	−	1.30771i
$866$	−9.80371	−	7.12282i	−0.333144	−	0.242043i
$867$	−3.39941	+	10.4623i	−0.115450	+	0.355319i
$868$	0.140736	+	0.433140i	0.00477688	+	0.0147017i
$869$	−11.8363	+	8.59955i	−0.401518	+	0.291720i
$870$	2.72456			0.0923711
$871$	−23.5602	+	17.1175i	−0.798308	+	0.580005i
$872$	−9.23904	+	6.71256i	−0.312873	+	0.227316i
$873$	4.45029	+	3.23333i	0.150620	+	0.109432i
$874$	−2.89244	+	8.90202i	−0.0978383	+	0.301115i
$875$	17.2484			0.583101
$876$	1.52306	+	1.10657i	0.0514595	+	0.0373875i
$877$	−13.5593	−	41.7313i	−0.457866	−	1.40917i	−0.867738	−	0.497023i	$-0.834427\pi$
$877$	−13.5593	−	41.7313i	−0.457866	−	1.40917i	0.409872	−	0.912143i	$-0.365573\pi$
$878$	15.4246	−	11.2066i	0.520554	−	0.378205i
$879$	−0.406974	+	1.25254i	−0.0137269	+	0.0422470i
$880$	22.3020	+	68.6385i	0.751801	+	2.31380i
$881$	2.25037	+	6.92594i	0.0758170	+	0.233341i	0.981782	−	0.190013i	$-0.0608529\pi$
$881$	2.25037	+	6.92594i	0.0758170	+	0.233341i	−0.905965	+	0.423353i	$0.860853\pi$
$882$	1.46413	+	4.50614i	0.0492999	+	0.151729i
$883$	−1.84264	−	5.67107i	−0.0620098	−	0.190847i	0.915252	−	0.402881i	$-0.131991\pi$
$883$	−1.84264	−	5.67107i	−0.0620098	−	0.190847i	−0.977262	+	0.212034i	$0.931991\pi$
$884$	8.94260	−	27.5225i	0.300772	−	0.925682i
$885$	−0.664254	+	0.482609i	−0.0223286	+	0.0162227i
$886$	−10.8780	−	33.4791i	−0.365454	−	1.12475i
$887$	−32.9110	−	23.9113i	−1.10504	−	0.802861i	−0.123168	−	0.992386i	$-0.539305\pi$
$887$	−32.9110	−	23.9113i	−1.10504	−	0.802861i	−0.981876	+	0.189525i	$0.939305\pi$
$888$	−2.01354			−0.0675701
$889$	−1.51326	+	4.65733i	−0.0507530	+	0.156202i
$890$	−60.1721	−	43.7176i	−2.01697	−	1.46542i
$891$	24.6653	−	17.9204i	0.826319	−	0.600356i
$892$	14.5742	−	10.5888i	0.487980	−	0.354538i
$893$	−12.8028			−0.428429
$894$	3.63859	−	2.64359i	0.121693	−	0.0884148i
$895$	27.4291	+	84.4180i	0.916853	+	2.82178i
$896$	−4.15734	+	12.7950i	−0.138887	+	0.427451i
$897$	−1.15473	−	0.838960i	−0.0385553	−	0.0280121i
$898$	−38.7138	−	28.1272i	−1.29190	−	0.938618i
$899$	0.796137			0.0265527
$900$	−6.01970	+	18.5267i	−0.200657	+	0.617557i
$901$	45.8530			1.52759
$902$	−33.8023	−	22.4992i	−1.12549	−	0.749143i
$903$	2.97622			0.0990425
$904$	−5.59369	+	17.2156i	−0.186043	+	0.572583i
$905$	8.63301			0.286971
$906$	−7.67748	−	5.57801i	−0.255067	−	0.185317i
$907$	10.1291	+	7.35920i	0.336330	+	0.244358i	0.743112	−	0.669167i	$-0.233349\pi$
$907$	10.1291	+	7.35920i	0.336330	+	0.244358i	−0.406782	+	0.913525i	$0.633349\pi$
$908$	1.40196	−	4.31480i	0.0465258	−	0.143192i
$909$	17.6001	+	54.1675i	0.583758	+	1.79662i
$910$	29.6934	−	21.5735i	0.984328	−	0.715156i
$911$	23.5256			0.779440			0.389720	−	0.920933i	$-0.372572\pi$
$911$	23.5256			0.779440			0.389720	+	0.920933i	$0.372572\pi$
$912$	11.3216	−	8.22563i	0.374896	−	0.272378i
$913$	4.62235	−	3.35833i	0.152977	−	0.111145i
$914$	3.16085	+	2.29649i	0.104552	+	0.0759612i
$915$	−1.76690	+	5.43796i	−0.0584119	+	0.179773i
$916$	13.9679			0.461511
$917$	−2.51485	−	1.82714i	−0.0830476	−	0.0603376i
$918$	−7.27735	−	22.3974i	−0.240188	−	0.739224i
$919$	−7.81005	+	5.67433i	−0.257630	+	0.187179i	−0.709101	−	0.705106i	$-0.750899\pi$
$919$	−7.81005	+	5.67433i	−0.257630	+	0.187179i	0.451472	+	0.892285i	$0.350899\pi$
$920$	−1.74540	+	5.37177i	−0.0575440	+	0.177102i
$921$	1.40061	+	4.31063i	0.0461516	+	0.142040i
$922$	−3.42083	−	10.5282i	−0.112659	−	0.346729i
$923$	0.852843	+	2.62478i	0.0280717	+	0.0863957i
$924$	0.295644	+	0.909900i	0.00972599	+	0.0299335i
$925$	7.98780	−	24.5839i	0.262637	−	0.808314i
$926$	−35.0474	+	25.4634i	−1.15173	+	0.836780i
$927$	−10.4191	−	32.0668i	−0.342209	−	1.05321i
$928$	−3.86759	−	2.80997i	−0.126960	−	0.0922417i
$929$	14.3680			0.471399			0.235700	−	0.971826i	$-0.424262\pi$
$929$	14.3680			0.471399			0.235700	+	0.971826i	$0.424262\pi$
$930$	0.434376	−	1.33687i	0.0142438	−	0.0438378i
$931$	6.58839	+	4.78675i	0.215926	+	0.156879i
$932$	0.808370	−	0.587315i	0.0264790	−	0.0192381i
$933$	−6.25317	+	4.54320i	−0.204720	+	0.148738i
$934$	15.9084			0.520540
$935$	82.6858	−	60.0748i	2.70412	−	1.96466i
$936$	−11.0424	−	33.9851i	−0.360933	−	1.11084i
$937$	−0.207946	+	0.639993i	−0.00679331	+	0.0209077i	−0.954396	−	0.298545i	$-0.903499\pi$
$937$	−0.207946	+	0.639993i	−0.00679331	+	0.0209077i	0.947602	+	0.319452i	$0.103499\pi$
$938$	6.63151	+	4.81807i	0.216526	+	0.157316i
$939$	8.74400	+	6.35289i	0.285350	+	0.207319i
$940$	4.25779			0.138874
$941$	10.4414	−	32.1353i	0.340380	−	1.04758i	−0.623631	−	0.781719i	$-0.714343\pi$
$941$	10.4414	−	32.1353i	0.340380	−	1.04758i	0.964011	−	0.265863i	$-0.0856567\pi$
$942$	3.26565			0.106401
$943$	−1.55463	−	4.19107i	−0.0506257	−	0.136480i
$944$	3.03005			0.0986196
$945$	2.41970	−	7.44706i	0.0787127	−	0.242253i
$946$	−53.9964			−1.75557
$947$	−32.3406	−	23.4968i	−1.05093	−	0.763543i	−0.0785383	−	0.996911i	$-0.525025\pi$
$947$	−32.3406	−	23.4968i	−1.05093	−	0.763543i	−0.972388	+	0.233368i	$0.925025\pi$
$948$	−0.763279	−	0.554554i	−0.0247901	−	0.0180111i
$949$	13.6998	−	42.1638i	0.444716	−	1.36869i
$950$	39.4668	+	121.466i	1.28047	+	3.94089i
$951$	−0.574385	+	0.417315i	−0.0186257	+	0.0135324i
$952$	14.7796			0.479010
$953$	13.2614	−	9.63495i	0.429578	−	0.312107i	−0.351902	−	0.936037i	$-0.614465\pi$
$953$	13.2614	−	9.63495i	0.429578	−	0.312107i	0.781480	+	0.623930i	$0.214465\pi$
$954$	−25.2451	+	18.3416i	−0.817341	+	0.593833i
$955$	−43.6479	−	31.7120i	−1.41241	−	1.02618i
$956$	2.24885	−	6.92125i	0.0727330	−	0.223849i
$957$	1.67245			0.0540627
$958$	−31.8920	−	23.1709i	−1.03038	−	0.748617i
$959$	5.43649	+	16.7318i	0.175553	+	0.540298i
$960$	3.76836	−	2.73787i	0.121623	−	0.0883645i
$961$	−9.45260	+	29.0921i	−0.304923	+	0.938455i
$962$	−8.07547	−	24.8537i	−0.260364	−	0.801317i
$963$	6.11765	+	18.8282i	0.197138	+	0.606730i
$964$	1.05642	+	3.25133i	0.0340251	+	0.104718i
$965$	1.03324	+	3.17997i	0.0332610	+	0.102367i
$966$	−0.124147	+	0.382086i	−0.00399437	+	0.0122934i
$967$	16.1017	−	11.6986i	0.517796	−	0.376201i	−0.297977	−	0.954573i	$-0.596312\pi$
$967$	16.1017	−	11.6986i	0.517796	−	0.376201i	0.815773	+	0.578372i	$0.196312\pi$
$968$	2.51644	+	7.74480i	0.0808814	+	0.248927i
$969$	−16.0332	−	11.6488i	−0.515060	−	0.374213i
$970$	−11.9941			−0.385108
$971$	9.29173	−	28.5970i	0.298186	−	0.917721i	−0.683947	−	0.729532i	$-0.739738\pi$
$971$	9.29173	−	28.5970i	0.298186	−	0.917721i	0.982133	−	0.188190i	$-0.0602619\pi$
$972$	5.13400	+	3.73007i	0.164673	+	0.119642i
$973$	−0.773491	+	0.561974i	−0.0247970	+	0.0180161i
$974$	48.0148	−	34.8848i	1.53849	−	1.11778i
$975$	−19.4756			−0.623717
$976$	17.0710	−	12.4028i	0.546431	−	0.397005i
$977$	11.3319	+	34.8759i	0.362539	+	1.11578i	0.951508	+	0.307624i	$0.0995338\pi$
$977$	11.3319	+	34.8759i	0.362539	+	1.11578i	−0.588970	+	0.808155i	$0.700466\pi$
$978$	−3.17411	+	9.76891i	−0.101497	+	0.312375i
$979$	−36.9363	−	26.8358i	−1.18049	−	0.857676i
$980$	−2.19108	−	1.59192i	−0.0699916	−	0.0508519i
$981$	−15.4816			−0.494290
$982$	−10.5691	+	32.5282i	−0.337273	+	1.03802i
$983$	24.6038			0.784741			0.392370	−	0.919807i	$-0.371655\pi$
$983$	24.6038			0.784741			0.392370	+	0.919807i	$0.371655\pi$
$984$	−1.28154	+	4.57510i	−0.0408541	+	0.145849i
$985$	−6.78335			−0.216136
$986$	−4.40010	+	13.5421i	−0.140128	+	0.431269i
$987$	−0.549512			−0.0174912
$988$	27.3851	+	19.8964i	0.871236	+	0.632990i
$989$	−4.80901	−	3.49395i	−0.152918	−	0.111101i
$990$	−21.4935	+	66.1502i	−0.683109	+	2.10239i
$991$	12.6791	+	39.0221i	0.402763	+	1.23958i	0.922748	+	0.385403i	$0.125938\pi$
$991$	12.6791	+	39.0221i	0.402763	+	1.23958i	−0.519985	+	0.854175i	$0.674062\pi$
$992$	−1.99539	+	1.44974i	−0.0633537	+	0.0460292i
$993$	0.0563175			0.00178718
$994$	0.628459	−	0.456602i	0.0199335	−	0.0144825i
$995$	−44.5441	+	32.3632i	−1.41214	+	1.02598i
$996$	0.298079	+	0.216567i	0.00944498	+	0.00686218i
$997$	−7.06010	+	21.7288i	−0.223596	+	0.688157i	0.774836	+	0.632163i	$0.217833\pi$
$997$	−7.06010	+	21.7288i	−0.223596	+	0.688157i	−0.998431	+	0.0559936i	$0.982167\pi$
$998$	−9.87523			−0.312595
$999$	−4.51044	−	3.27702i	−0.142704	−	0.103680i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	287.2.h.c.57.3	✓	40
41.18	even	5	inner	287.2.h.c.141.3	yes	40

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
287.2.h.c.57.3	✓	40	1.1	even	1	trivial
287.2.h.c.141.3	yes	40	41.18	even	5	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:	\( N \)	\(=\)	\( 287 = 7 \cdot 41 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	287.h (of order \(5\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.508764 + 1.56581i) q^{2} -0.349538 q^{3} +(-0.574899 - 0.417688i) q^{4} +(-3.08337 - 2.24020i) q^{5} +(0.177832 - 0.547311i) q^{6} +(0.309017 + 0.951057i) q^{7} +(-1.71741 + 1.24777i) q^{8} -2.87782 q^{9} +O(q^{10})\)	\(q+(-0.508764 + 1.56581i) q^{2} -0.349538 q^{3} +(-0.574899 - 0.417688i) q^{4} +(-3.08337 - 2.24020i) q^{5} +(0.177832 - 0.547311i) q^{6} +(0.309017 + 0.951057i) q^{7} +(-1.71741 + 1.24777i) q^{8} -2.87782 q^{9} +(5.07644 - 3.68825i) q^{10} +(3.11614 - 2.26401i) q^{11} +(0.200949 + 0.145998i) q^{12} +(1.80752 - 5.56298i) q^{13} -1.64639 q^{14} +(1.07775 + 0.783034i) q^{15} +(-1.51921 - 4.67564i) q^{16} +(-5.63254 + 4.09228i) q^{17} +(1.46413 - 4.50614i) q^{18} +(-2.51654 - 7.74512i) q^{19} +(0.836920 + 2.57577i) q^{20} +(-0.108013 - 0.332430i) q^{21} +(1.95964 + 6.03114i) q^{22} +(-0.215729 + 0.663947i) q^{23} +(0.600300 - 0.436144i) q^{24} +(2.94359 + 9.05942i) q^{25} +(7.79099 + 5.66049i) q^{26} +2.05452 q^{27} +(0.219592 - 0.675834i) q^{28} +(-1.00498 - 0.730161i) q^{29} +(-1.77441 + 1.28918i) q^{30} +(-0.518496 + 0.376709i) q^{31} +3.84842 q^{32} +(-1.08921 + 0.791357i) q^{33} +(-3.54211 - 10.9015i) q^{34} +(1.17774 - 3.62472i) q^{35} +(1.65446 + 1.20203i) q^{36} +(-2.19537 - 1.59503i) q^{37} +13.4077 q^{38} +(-0.631797 + 1.94447i) q^{39} +8.09067 q^{40} +(-5.02143 + 3.97306i) q^{41} +0.575477 q^{42} +(-2.63120 + 8.09799i) q^{43} -2.73712 q^{44} +(8.87339 + 6.44689i) q^{45} +(-0.929862 - 0.675584i) q^{46} +(0.485809 - 1.49517i) q^{47} +(0.531020 + 1.63431i) q^{48} +(-0.809017 + 0.587785i) q^{49} -15.6830 q^{50} +(1.96878 - 1.43041i) q^{51} +(-3.36274 + 2.44317i) q^{52} +(-5.32818 - 3.87115i) q^{53} +(-1.04527 + 3.21700i) q^{54} -14.6800 q^{55} +(-1.71741 - 1.24777i) q^{56} +(0.879626 + 2.70721i) q^{57} +(1.65459 - 1.20213i) q^{58} +(-0.190457 + 0.586166i) q^{59} +(-0.292535 - 0.900330i) q^{60} +(1.32633 + 4.08201i) q^{61} +(-0.326065 - 1.00352i) q^{62} +(-0.889296 - 2.73697i) q^{63} +(1.08048 - 3.32536i) q^{64} +(-18.0354 + 13.1035i) q^{65} +(-0.684967 - 2.10811i) q^{66} +(-4.02790 - 2.92644i) q^{67} +4.94743 q^{68} +(0.0754056 - 0.232075i) q^{69} +(5.07644 + 3.68825i) q^{70} +(-0.381718 + 0.277335i) q^{71} +(4.94241 - 3.59087i) q^{72} +7.57935 q^{73} +(3.61445 - 2.62605i) q^{74} +(-1.02889 - 3.16661i) q^{75} +(-1.78829 + 5.50379i) q^{76} +(3.11614 + 2.26401i) q^{77} +(-2.72325 - 1.97855i) q^{78} -3.79837 q^{79} +(-5.79008 + 17.8200i) q^{80} +7.91534 q^{81} +(-3.66635 - 9.88398i) q^{82} +1.48336 q^{83} +(-0.0767556 + 0.236230i) q^{84} +26.5347 q^{85} +(-11.3413 - 8.23993i) q^{86} +(0.351279 + 0.255219i) q^{87} +(-2.52673 + 7.77647i) q^{88} +(-3.66285 - 11.2731i) q^{89} +(-14.6091 + 10.6141i) q^{90} +5.84927 q^{91} +(0.401345 - 0.291595i) q^{92} +(0.181234 - 0.131674i) q^{93} +(2.09399 + 1.52137i) q^{94} +(-9.59117 + 29.5186i) q^{95} -1.34517 q^{96} +(-1.54641 - 1.12353i) q^{97} +(-0.508764 - 1.56581i) q^{98} +(-8.96770 + 6.51542i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 40 q - 3 q^{2} - 3 q^{4} - 4 q^{5} - 19 q^{6} - 10 q^{7} + 16 q^{8} + 60 q^{9}+O(q^{10}) \) 40 * q - 3 * q^2 - 3 * q^4 - 4 * q^5 - 19 * q^6 - 10 * q^7 + 16 * q^8 + 60 * q^9	\( 40 q - 3 q^{2} - 3 q^{4} - 4 q^{5} - 19 q^{6} - 10 q^{7} + 16 q^{8} + 60 q^{9} + 5 q^{10} - 10 q^{11} - 12 q^{12} - 17 q^{13} + 2 q^{14} - 3 q^{15} - 23 q^{16} - 8 q^{17} - 2 q^{18} + 23 q^{19} - 13 q^{22} - q^{23} + 46 q^{24} - 34 q^{25} + 3 q^{26} - 18 q^{28} - 18 q^{29} - 19 q^{30} - 3 q^{31} - 26 q^{32} - 6 q^{33} - 44 q^{34} + q^{35} - 38 q^{36} - 5 q^{37} + 28 q^{38} + 17 q^{39} + 14 q^{40} - 11 q^{41} - 24 q^{42} + 13 q^{43} + 66 q^{44} + 43 q^{45} - 20 q^{46} - 27 q^{47} + 39 q^{48} - 10 q^{49} + 106 q^{50} - 18 q^{51} - 30 q^{52} - 30 q^{53} - 109 q^{54} + 118 q^{55} + 16 q^{56} - 40 q^{57} - 23 q^{58} - 37 q^{59} + 96 q^{60} - 41 q^{61} - 13 q^{62} - 30 q^{63} + 10 q^{64} + 6 q^{65} - 30 q^{66} - 6 q^{67} - 26 q^{68} - 31 q^{69} + 5 q^{70} - 31 q^{71} + 107 q^{72} - 46 q^{73} + 75 q^{74} - 61 q^{75} + 43 q^{76} - 10 q^{77} + 34 q^{78} + 76 q^{79} + 64 q^{80} + 16 q^{81} - 16 q^{82} - 52 q^{83} - 7 q^{84} + 86 q^{85} - 17 q^{86} - 20 q^{87} - 52 q^{88} - 16 q^{89} + 6 q^{90} + 18 q^{91} + 97 q^{92} + 32 q^{93} - 5 q^{94} - 102 q^{95} + 38 q^{96} - 18 q^{97} - 3 q^{98} - 71 q^{99}+O(q^{100}) \) 40 * q - 3 * q^2 - 3 * q^4 - 4 * q^5 - 19 * q^6 - 10 * q^7 + 16 * q^8 + 60 * q^9 + 5 * q^10 - 10 * q^11 - 12 * q^12 - 17 * q^13 + 2 * q^14 - 3 * q^15 - 23 * q^16 - 8 * q^17 - 2 * q^18 + 23 * q^19 - 13 * q^22 - q^23 + 46 * q^24 - 34 * q^25 + 3 * q^26 - 18 * q^28 - 18 * q^29 - 19 * q^30 - 3 * q^31 - 26 * q^32 - 6 * q^33 - 44 * q^34 + q^35 - 38 * q^36 - 5 * q^37 + 28 * q^38 + 17 * q^39 + 14 * q^40 - 11 * q^41 - 24 * q^42 + 13 * q^43 + 66 * q^44 + 43 * q^45 - 20 * q^46 - 27 * q^47 + 39 * q^48 - 10 * q^49 + 106 * q^50 - 18 * q^51 - 30 * q^52 - 30 * q^53 - 109 * q^54 + 118 * q^55 + 16 * q^56 - 40 * q^57 - 23 * q^58 - 37 * q^59 + 96 * q^60 - 41 * q^61 - 13 * q^62 - 30 * q^63 + 10 * q^64 + 6 * q^65 - 30 * q^66 - 6 * q^67 - 26 * q^68 - 31 * q^69 + 5 * q^70 - 31 * q^71 + 107 * q^72 - 46 * q^73 + 75 * q^74 - 61 * q^75 + 43 * q^76 - 10 * q^77 + 34 * q^78 + 76 * q^79 + 64 * q^80 + 16 * q^81 - 16 * q^82 - 52 * q^83 - 7 * q^84 + 86 * q^85 - 17 * q^86 - 20 * q^87 - 52 * q^88 - 16 * q^89 + 6 * q^90 + 18 * q^91 + 97 * q^92 + 32 * q^93 - 5 * q^94 - 102 * q^95 + 38 * q^96 - 18 * q^97 - 3 * q^98 - 71 * q^99

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