LMFDB - Embedded newform 195.2.v.a.4.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [195,2,Mod(4,195)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(195, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([0, 3, 1]))

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

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

chi := DirichletCharacter("195.4");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 195 = 3 \cdot 5 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	195.v (of order $6$, degree $2$, 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:	$1.55708283941$
Analytic rank:	$0$
Dimension:	$32$
Relative dimension:	$16$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			4.1
Character	$\chi$	$=$	195.4
Dual form			195.2.v.a.49.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.36408 + 2.36265i) q^{2} +(0.866025 + 0.500000i) q^{3} +(-2.72141 - 4.71362i) q^{4} +(-1.91068 - 1.16160i) q^{5} +(-2.36265 + 1.36408i) q^{6} +(-1.86649 - 3.23285i) q^{7} +9.39252 q^{8} +(0.500000 + 0.866025i) q^{9} +O(q^{10})$	\(q+(-1.36408 + 2.36265i) q^{2} +(0.866025 + 0.500000i) q^{3} +(-2.72141 - 4.71362i) q^{4} +(-1.91068 - 1.16160i) q^{5} +(-2.36265 + 1.36408i) q^{6} +(-1.86649 - 3.23285i) q^{7} +9.39252 q^{8} +(0.500000 + 0.866025i) q^{9} +(5.35076 - 2.92975i) q^{10} +(-2.02671 - 1.17012i) q^{11} -5.44282i q^{12} +(-1.39527 - 3.32464i) q^{13} +10.1841 q^{14} +(-1.07390 - 1.96131i) q^{15} +(-7.36930 + 12.7640i) q^{16} +(-2.29853 + 1.32706i) q^{17} -2.72815 q^{18} +(-1.93887 + 1.11941i) q^{19} +(-0.275594 + 12.1674i) q^{20} -3.73298i q^{21} +(5.52918 - 3.19227i) q^{22} +(-0.387679 - 0.223827i) q^{23} +(8.13416 + 4.69626i) q^{24} +(2.30138 + 4.43888i) q^{25} +(9.75821 + 1.23852i) q^{26} +1.00000i q^{27} +(-10.1590 + 17.5958i) q^{28} +(0.774666 - 1.34176i) q^{29} +(6.09877 + 0.138139i) q^{30} -3.17845i q^{31} +(-10.7121 - 18.5538i) q^{32} +(-1.17012 - 2.02671i) q^{33} -7.24083i q^{34} +(-0.189018 + 8.34505i) q^{35} +(2.72141 - 4.71362i) q^{36} +(-0.797986 + 1.38215i) q^{37} -6.10781i q^{38} +(0.453977 - 3.57686i) q^{39} +(-17.9461 - 10.9103i) q^{40} +(-0.866750 - 0.500418i) q^{41} +(8.81972 + 5.09207i) q^{42} +(10.1144 - 5.83954i) q^{43} +12.7375i q^{44} +(0.0506345 - 2.23549i) q^{45} +(1.05765 - 0.610634i) q^{46} -8.06550 q^{47} +(-12.7640 + 7.36930i) q^{48} +(-3.46757 + 6.00600i) q^{49} +(-13.6268 - 0.617616i) q^{50} -2.65411 q^{51} +(-11.8740 + 15.6245i) q^{52} -8.33803i q^{53} +(-2.36265 - 1.36408i) q^{54} +(2.51318 + 4.58996i) q^{55} +(-17.5310 - 30.3647i) q^{56} -2.23881 q^{57} +(2.11341 + 3.66053i) q^{58} +(-4.61091 + 2.66211i) q^{59} +(-6.32236 + 10.3995i) q^{60} +(0.317815 + 0.550471i) q^{61} +(7.50957 + 4.33565i) q^{62} +(1.86649 - 3.23285i) q^{63} +28.9710 q^{64} +(-1.19598 + 7.97306i) q^{65} +6.38455 q^{66} +(5.06226 - 8.76809i) q^{67} +(12.5105 + 7.22292i) q^{68} +(-0.223827 - 0.387679i) q^{69} +(-19.4586 - 11.8299i) q^{70} +(3.28689 - 1.89769i) q^{71} +(4.69626 + 8.13416i) q^{72} +0.0493999 q^{73} +(-2.17703 - 3.77072i) q^{74} +(-0.226386 + 4.99487i) q^{75} +(10.5529 + 6.09271i) q^{76} +8.73609i q^{77} +(7.83160 + 5.95169i) q^{78} +1.93513 q^{79} +(28.9070 - 15.8277i) q^{80} +(-0.500000 + 0.866025i) q^{81} +(2.36463 - 1.36522i) q^{82} +7.63279 q^{83} +(-17.5958 + 10.1590i) q^{84} +(5.93326 + 0.134390i) q^{85} +31.8623i q^{86} +(1.34176 - 0.774666i) q^{87} +(-19.0360 - 10.9904i) q^{88} +(-4.56030 - 2.63289i) q^{89} +(5.21262 + 3.16902i) q^{90} +(-8.14381 + 10.7161i) q^{91} +2.43650i q^{92} +(1.58923 - 2.75262i) q^{93} +(11.0020 - 19.0559i) q^{94} +(5.00485 + 0.113361i) q^{95} -21.4241i q^{96} +(6.24133 + 10.8103i) q^{97} +(-9.46005 - 16.3853i) q^{98} -2.34025i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 32 q - 20 q^{4} + 16 q^{9}+O(q^{10}) $ 32 * q - 20 * q^4 + 16 * q^9	$ 32 q - 20 q^{4} + 16 q^{9} + 2 q^{10} - 12 q^{11} + 8 q^{14} - 6 q^{15} - 28 q^{16} - 30 q^{20} - 4 q^{25} + 52 q^{26} - 24 q^{29} + 4 q^{30} - 2 q^{35} + 20 q^{36} + 4 q^{40} - 36 q^{41} + 12 q^{45} - 48 q^{46} - 28 q^{49} + 54 q^{50} - 40 q^{51} + 24 q^{55} - 56 q^{56} + 84 q^{59} - 32 q^{61} + 136 q^{64} + 20 q^{65} + 8 q^{66} - 24 q^{69} + 12 q^{71} + 40 q^{74} - 16 q^{75} + 48 q^{76} - 104 q^{79} + 66 q^{80} - 16 q^{81} - 48 q^{84} - 54 q^{85} - 48 q^{89} + 4 q^{90} + 12 q^{91} - 8 q^{94} + 12 q^{95}+O(q^{100}) $ 32 * q - 20 * q^4 + 16 * q^9 + 2 * q^10 - 12 * q^11 + 8 * q^14 - 6 * q^15 - 28 * q^16 - 30 * q^20 - 4 * q^25 + 52 * q^26 - 24 * q^29 + 4 * q^30 - 2 * q^35 + 20 * q^36 + 4 * q^40 - 36 * q^41 + 12 * q^45 - 48 * q^46 - 28 * q^49 + 54 * q^50 - 40 * q^51 + 24 * q^55 - 56 * q^56 + 84 * q^59 - 32 * q^61 + 136 * q^64 + 20 * q^65 + 8 * q^66 - 24 * q^69 + 12 * q^71 + 40 * q^74 - 16 * q^75 + 48 * q^76 - 104 * q^79 + 66 * q^80 - 16 * q^81 - 48 * q^84 - 54 * q^85 - 48 * q^89 + 4 * q^90 + 12 * q^91 - 8 * q^94 + 12 * q^95

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/195\mathbb{Z}\right)^\times$.

$n$	$106$	$131$	$157$
$\chi(n)$	$e\left(\frac{1}{6}\right)$	$1$	$-1$

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 $

$2$	−1.36408	+	2.36265i	−0.964547	+	1.67065i	−0.253722	+	0.967277i	$0.581655\pi$
$2$	−1.36408	+	2.36265i	−0.964547	+	1.67065i	−0.710826	+	0.703368i	$0.751679\pi$
$3$	0.866025	+	0.500000i	0.500000	+	0.288675i
$3$	0.866025	+	0.500000i	0.500000	+	0.288675i
$4$	−2.72141	−	4.71362i	−1.36070	−	2.35681i
$5$	−1.91068	−	1.16160i	−0.854481	−	0.519482i
$5$	−1.91068	−	1.16160i	−0.854481	−	0.519482i
$6$	−2.36265	+	1.36408i	−0.964547	+	0.556882i
$7$	−1.86649	−	3.23285i	−0.705467	−	1.22190i	−0.966523	−	0.256581i	$-0.917404\pi$
$7$	−1.86649	−	3.23285i	−0.705467	−	1.22190i	0.261056	−	0.965324i	$-0.415929\pi$
$8$	9.39252			3.32076
$9$	0.500000	+	0.866025i	0.166667	+	0.288675i
$10$	5.35076	−	2.92975i	1.69206	−	0.926469i
$11$	−2.02671	−	1.17012i	−0.611077	−	0.352805i	0.162310	−	0.986740i	$-0.448106\pi$
$11$	−2.02671	−	1.17012i	−0.611077	−	0.352805i	−0.773387	+	0.633934i	$0.781439\pi$
$12$		−	5.44282i		−	1.57121i
$13$	−1.39527	−	3.32464i	−0.386979	−	0.922088i
$13$	−1.39527	−	3.32464i	−0.386979	−	0.922088i
$14$	10.1841			2.72182
$15$	−1.07390	−	1.96131i	−0.277279	−	0.506409i
$16$	−7.36930	+	12.7640i	−1.84233	+	3.19100i
$17$	−2.29853	+	1.32706i	−0.557475	+	0.321859i	−0.752132	−	0.659013i	$-0.770974\pi$
$17$	−2.29853	+	1.32706i	−0.557475	+	0.321859i	0.194656	+	0.980872i	$0.437641\pi$
$18$	−2.72815			−0.643032
$19$	−1.93887	+	1.11941i	−0.444806	+	0.256809i	−0.705634	−	0.708576i	$-0.749338\pi$
$19$	−1.93887	+	1.11941i	−0.444806	+	0.256809i	0.260828	+	0.965385i	$0.416005\pi$
$20$	−0.275594	+	12.1674i	−0.0616247	+	2.72071i
$21$		−	3.73298i		−	0.814603i
$22$	5.52918	−	3.19227i	1.17883	−	0.680595i
$23$	−0.387679	−	0.223827i	−0.0808367	−	0.0466711i	0.459037	−	0.888417i	$-0.348195\pi$
$23$	−0.387679	−	0.223827i	−0.0808367	−	0.0466711i	−0.539874	+	0.841746i	$0.681528\pi$
$24$	8.13416	+	4.69626i	1.66038	+	0.958620i
$25$	2.30138	+	4.43888i	0.460276	+	0.887776i
$26$	9.75821	+	1.23852i	1.91374	+	0.242893i
$27$			1.00000i			0.192450i
$28$	−10.1590	+	17.5958i	−1.91986	+	3.32530i
$29$	0.774666	−	1.34176i	0.143852	−	0.249159i	−0.785092	−	0.619379i	$-0.787384\pi$
$29$	0.774666	−	1.34176i	0.143852	−	0.249159i	0.928944	+	0.370220i	$0.120718\pi$
$30$	6.09877	+	0.138139i	1.11348	+	0.0252205i
$31$		−	3.17845i		−	0.570867i	−0.958399	−	0.285433i	$-0.907862\pi$
$31$		−	3.17845i		−	0.570867i	0.958399	−	0.285433i	$-0.0921375\pi$
$32$	−10.7121	−	18.5538i	−1.89364	−	3.27988i
$33$	−1.17012	−	2.02671i	−0.203692	−	0.352805i
$34$		−	7.24083i		−	1.24179i
$35$	−0.189018	+	8.34505i	−0.0319498	+	1.41057i
$36$	2.72141	−	4.71362i	0.453568	−	0.785603i
$37$	−0.797986	+	1.38215i	−0.131188	+	0.227224i	−0.924135	−	0.382067i	$-0.875213\pi$
$37$	−0.797986	+	1.38215i	−0.131188	+	0.227224i	0.792947	+	0.609291i	$0.208546\pi$
$38$		−	6.10781i		−	0.990818i
$39$	0.453977	−	3.57686i	0.0726945	−	0.572755i
$40$	−17.9461	−	10.9103i	−2.83753	−	1.72508i
$41$	−0.866750	−	0.500418i	−0.135364	−	0.0781522i	0.430789	−	0.902453i	$-0.358235\pi$
$41$	−0.866750	−	0.500418i	−0.135364	−	0.0781522i	−0.566153	+	0.824301i	$0.691569\pi$
$42$	8.81972	+	5.09207i	1.36091	+	0.785723i
$43$	10.1144	−	5.83954i	1.54243	−	0.890522i	0.543744	−	0.839251i	$-0.317006\pi$
$43$	10.1144	−	5.83954i	1.54243	−	0.890522i	0.998685	−	0.0512703i	$-0.0163270\pi$
$44$			12.7375i			1.92026i
$45$	0.0506345	−	2.23549i	0.00754814	−	0.333248i
$46$	1.05765	−	0.610634i	0.155942	−	0.0900330i
$47$	−8.06550			−1.17647			−0.588237	−	0.808689i	$-0.700178\pi$
$47$	−8.06550			−1.17647			−0.588237	+	0.808689i	$0.700178\pi$
$48$	−12.7640	+	7.36930i	−1.84233	+	1.06367i
$49$	−3.46757	+	6.00600i	−0.495367	+	0.858000i
$50$	−13.6268	−	0.617616i	−1.92712	−	0.0873441i
$51$	−2.65411			−0.371650
$52$	−11.8740	+	15.6245i	−1.64662	+	2.16672i
$53$		−	8.33803i		−	1.14532i	−0.819794	−	0.572658i	$-0.805912\pi$
$53$		−	8.33803i		−	1.14532i	0.819794	−	0.572658i	$-0.194088\pi$
$54$	−2.36265	−	1.36408i	−0.321516	−	0.185627i
$55$	2.51318	+	4.58996i	0.338878	+	0.618909i
$56$	−17.5310	−	30.3647i	−2.34268	−	4.05765i
$57$	−2.23881			−0.296538
$58$	2.11341	+	3.66053i	0.277504	+	0.480651i
$59$	−4.61091	+	2.66211i	−0.600289	+	0.346577i	−0.769155	−	0.639062i	$-0.779323\pi$
$59$	−4.61091	+	2.66211i	−0.600289	+	0.346577i	0.168866	+	0.985639i	$0.445989\pi$
$60$	−6.32236	+	10.3995i	−0.816214	+	1.34257i
$61$	0.317815	+	0.550471i	0.0406920	+	0.0704806i	0.885654	−	0.464346i	$-0.153710\pi$
$61$	0.317815	+	0.550471i	0.0406920	+	0.0704806i	−0.844962	+	0.534826i	$0.820377\pi$
$62$	7.50957	+	4.33565i	0.953716	+	0.550628i
$63$	1.86649	−	3.23285i	0.235156	−	0.407301i
$64$	28.9710			3.62138
$65$	−1.19598	+	7.97306i	−0.148342	+	0.988936i
$66$	6.38455			0.785884
$67$	5.06226	−	8.76809i	0.618453	−	1.07119i	−0.371315	−	0.928507i	$-0.621093\pi$
$67$	5.06226	−	8.76809i	0.618453	−	1.07119i	0.989768	−	0.142685i	$-0.0455737\pi$
$68$	12.5105	+	7.22292i	1.51712	+	0.875908i
$69$	−0.223827	−	0.387679i	−0.0269456	−	0.0466711i
$70$	−19.4586	−	11.8299i	−2.32575	−	1.41394i
$71$	3.28689	−	1.89769i	0.390082	−	0.225214i	−0.292114	−	0.956384i	$-0.594359\pi$
$71$	3.28689	−	1.89769i	0.390082	−	0.225214i	0.682196	+	0.731170i	$0.261025\pi$
$72$	4.69626	+	8.13416i	0.553460	+	0.958620i
$73$	0.0493999			0.00578182			0.00289091	−	0.999996i	$-0.499080\pi$
$73$	0.0493999			0.00578182			0.00289091	+	0.999996i	$0.499080\pi$
$74$	−2.17703	−	3.77072i	−0.253074	−	0.438338i
$75$	−0.226386	+	4.99487i	−0.0261408	+	0.576758i
$76$	10.5529	+	6.09271i	1.21050	+	0.698882i
$77$			8.73609i			0.995570i
$78$	7.83160	+	5.95169i	0.886754	+	0.673897i
$79$	1.93513			0.217720			0.108860	−	0.994057i	$-0.465280\pi$
$79$	1.93513			0.217720			0.108860	+	0.994057i	$0.465280\pi$
$80$	28.9070	−	15.8277i	3.23190	−	1.76959i
$81$	−0.500000	+	0.866025i	−0.0555556	+	0.0962250i
$82$	2.36463	−	1.36522i	0.261129	−	0.150763i
$83$	7.63279			0.837807			0.418904	−	0.908031i	$-0.362415\pi$
$83$	7.63279			0.837807			0.418904	+	0.908031i	$0.362415\pi$
$84$	−17.5958	+	10.1590i	−1.91986	+	1.10843i
$85$	5.93326	+	0.134390i	0.643552	+	0.0145766i
$86$			31.8623i			3.43580i
$87$	1.34176	−	0.774666i	0.143852	−	0.0830529i
$88$	−19.0360	−	10.9904i	−2.02924	−	1.17158i
$89$	−4.56030	−	2.63289i	−0.483391	−	0.279086i	0.238438	−	0.971158i	$-0.423365\pi$
$89$	−4.56030	−	2.63289i	−0.483391	−	0.279086i	−0.721828	+	0.692072i	$0.756698\pi$
$90$	5.21262	+	3.16902i	0.549458	+	0.334044i
$91$	−8.14381	+	10.7161i	−0.853703	+	1.12335i
$92$			2.43650i			0.254022i
$93$	1.58923	−	2.75262i	0.164795	−	0.285433i
$94$	11.0020	−	19.0559i	1.13476	−	1.96547i
$95$	5.00485	+	0.113361i	0.513487	+	0.0116306i
$96$		−	21.4241i		−	2.18659i
$97$	6.24133	+	10.8103i	0.633711	+	1.09762i	0.986787	+	0.162025i	$0.0518026\pi$
$97$	6.24133	+	10.8103i	0.633711	+	1.09762i	−0.353075	+	0.935595i	$0.614864\pi$
$98$	−9.46005	−	16.3853i	−0.955609	−	1.65516i
$99$		−	2.34025i		−	0.235204i
$100$	14.6602	−	22.9278i	1.46602	−	2.29278i
$101$	0.348954	−	0.604407i	0.0347222	−	0.0601407i	−0.848142	−	0.529769i	$-0.822279\pi$
$101$	0.348954	−	0.604407i	0.0347222	−	0.0601407i	0.882864	+	0.469628i	$0.155612\pi$
$102$	3.62041	−	6.27074i	0.358474	−	0.620896i
$103$		−	3.92434i		−	0.386676i	−0.981132	−	0.193338i	$-0.938069\pi$
$103$		−	3.92434i		−	0.386676i	0.981132	−	0.193338i	$-0.0619315\pi$
$104$	−13.1051	−	31.2267i	−1.28506	−	3.06203i
$105$	−4.33622	+	7.13252i	−0.423172	+	0.696063i
$106$	19.6998	+	11.3737i	1.91342	+	1.10471i
$107$	1.40633	+	0.811946i	0.135955	+	0.0784938i	0.566435	−	0.824106i	$-0.308322\pi$
$107$	1.40633	+	0.811946i	0.135955	+	0.0784938i	−0.430480	+	0.902600i	$0.641656\pi$
$108$	4.71362	−	2.72141i	0.453568	−	0.261868i
$109$			17.6077i			1.68651i	0.537512	+	0.843256i	$0.319364\pi$
$109$			17.6077i			1.68651i	−0.537512	+	0.843256i	$0.680636\pi$
$110$	−14.2726	−	0.323278i	−1.36084	−	0.0308234i
$111$	−1.38215	+	0.797986i	−0.131188	+	0.0757415i
$112$	55.0189			5.19880
$113$	−16.2305	+	9.37069i	−1.52684	+	0.881520i	−0.527346	+	0.849651i	$0.676813\pi$
$113$	−16.2305	+	9.37069i	−1.52684	+	0.881520i	−0.999492	+	0.0318695i	$0.989854\pi$
$114$	3.05391	−	5.28952i	0.286025	−	0.495409i
$115$	0.480734	+	0.877989i	0.0448286	+	0.0818729i
$116$	−8.43272			−0.782959
$117$	2.18158	−	2.87066i	0.201688	−	0.265393i
$118$		−	14.5253i		−	1.33716i
$119$	8.58036	+	4.95387i	0.786561	+	0.454121i
$120$	−10.0866	−	18.4217i	−0.920776	−	1.68166i
$121$	−2.76162	−	4.78327i	−0.251057	−	0.434843i
$122$	−1.73409			−0.156997
$123$	−0.500418	−	0.866750i	−0.0451212	−	0.0781522i
$124$	−14.9820	+	8.64986i	−1.34542	+	0.776780i
$125$	0.758998	−	11.1545i	0.0678869	−	0.997693i
$126$	5.09207	+	8.81972i	0.453637	+	0.785723i
$127$	−10.7726	−	6.21958i	−0.955916	−	0.551898i	−0.0610024	−	0.998138i	$-0.519430\pi$
$127$	−10.7726	−	6.21958i	−0.955916	−	0.551898i	−0.894914	+	0.446239i	$0.852763\pi$
$128$	−18.0946	+	31.3407i	−1.59935	+	2.77016i
$129$	11.6791			1.02829
$130$	−17.2061	−	13.7015i	−1.50908	−	1.20170i
$131$	−5.54798			−0.484730			−0.242365	−	0.970185i	$-0.577923\pi$
$131$	−5.54798			−0.484730			−0.242365	+	0.970185i	$0.577923\pi$
$132$	−6.36877	+	11.0310i	−0.554330	+	0.960128i
$133$	7.23775	+	4.17872i	0.627592	+	0.362341i
$134$	13.8106	+	23.9207i	1.19305	+	2.06643i
$135$	1.16160	−	1.91068i	0.0999744	−	0.164445i
$136$	−21.5890	+	12.4644i	−1.85124	+	1.06881i
$137$	6.77644	+	11.7371i	0.578951	+	1.00277i	0.995600	+	0.0937045i	$0.0298709\pi$
$137$	6.77644	+	11.7371i	0.578951	+	1.00277i	−0.416650	+	0.909067i	$0.636796\pi$
$138$	1.22127			0.103961
$139$	−2.70422	−	4.68385i	−0.229369	−	0.397279i	0.728252	−	0.685309i	$-0.240333\pi$
$139$	−2.70422	−	4.68385i	−0.229369	−	0.397279i	−0.957621	+	0.288030i	$0.907000\pi$
$140$	39.8498	−	21.8193i	3.36792	−	1.84407i
$141$	−6.98492	−	4.03275i	−0.588237	−	0.339619i
$142$			10.3544i			0.868918i
$143$	−1.06242	+	8.37073i	−0.0888439	+	0.699995i
$144$	−14.7386			−1.22822
$145$	−3.03872	+	1.66382i	−0.252352	+	0.138173i
$146$	−0.0673852	+	0.116715i	−0.00557684	+	0.00965937i
$147$	−6.00600	+	3.46757i	−0.495367	+	0.286000i
$148$	8.68658			0.714033
$149$	12.7018	−	7.33339i	1.04057	−	0.600775i	0.120577	−	0.992704i	$-0.461525\pi$
$149$	12.7018	−	7.33339i	1.04057	−	0.600775i	0.919995	+	0.391929i	$0.128192\pi$
$150$	−11.4923	−	7.34826i	−0.938344	−	0.599983i
$151$		−	12.3287i		−	1.00329i	−0.865073	−	0.501646i	$-0.832728\pi$
$151$		−	12.3287i		−	1.00329i	0.865073	−	0.501646i	$-0.167272\pi$
$152$	−18.2108	+	10.5140i	−1.47709	+	0.852801i
$153$	−2.29853	−	1.32706i	−0.185825	−	0.107286i
$154$	−20.6403	−	11.9167i	−1.66324	−	0.960275i
$155$	−3.69208	+	6.07300i	−0.296555	+	0.487795i
$156$	−18.0954	+	7.59421i	−1.44879	+	0.608024i
$157$			24.7850i			1.97806i	0.147709	+	0.989031i	$0.452810\pi$
$157$			24.7850i			1.97806i	−0.147709	+	0.989031i	$0.547190\pi$
$158$	−2.63967	+	4.57204i	−0.210001	+	0.363732i
$159$	4.16902	−	7.22095i	0.330625	−	0.572658i
$160$	−1.08480	+	47.8935i	−0.0857609	+	3.78631i
$161$			1.67108i			0.131700i
$162$	−1.36408	−	2.36265i	−0.107172	−	0.185627i
$163$	−7.96570	−	13.7970i	−0.623922	−	1.08066i	−0.988748	−	0.149589i	$-0.952205\pi$
$163$	−7.96570	−	13.7970i	−0.623922	−	1.08066i	0.364827	−	0.931075i	$-0.381128\pi$
$164$			5.44737i			0.425368i
$165$	−0.118497	+	5.23161i	−0.00922500	+	0.407280i
$166$	−10.4117	+	18.0336i	−0.808105	+	1.39968i
$167$	12.7158	−	22.0244i	0.983977	−	1.70430i	0.337578	−	0.941298i	$-0.390392\pi$
$167$	12.7158	−	22.0244i	0.983977	−	1.70430i	0.646399	−	0.763000i	$-0.276274\pi$
$168$		−	35.0621i		−	2.70510i
$169$	−9.10643	+	9.27755i	−0.700494	+	0.713658i
$170$	−8.41093	+	13.8349i	−0.645089	+	1.06109i
$171$	−1.93887	−	1.11941i	−0.148269	−	0.0856030i
$172$	−55.0507	−	31.7835i	−4.19758	−	2.42347i
$173$	11.7189	−	6.76594i	0.890975	−	0.514405i	0.0167136	−	0.999860i	$-0.494680\pi$
$173$	11.7189	−	6.76594i	0.890975	−	0.514405i	0.874261	+	0.485456i	$0.161346\pi$
$174$			4.22681i			0.320434i
$175$	10.0548	−	15.7251i	0.760068	−	1.18871i
$176$	29.8709	−	17.2460i	2.25161	−	1.29997i
$177$	−5.32422			−0.400193
$178$	12.4412	−	7.18293i	0.932507	−	0.538383i
$179$	5.88270	−	10.1891i	0.439694	−	0.761572i	−0.557972	−	0.829860i	$-0.688420\pi$
$179$	5.88270	−	10.1891i	0.439694	−	0.761572i	0.997666	+	0.0682881i	$0.0217537\pi$
$180$	−10.6751	+	5.84502i	−0.795672	+	0.435662i
$181$	13.2944			0.988163			0.494081	−	0.869416i	$-0.335505\pi$
$181$	13.2944			0.988163			0.494081	+	0.869416i	$0.335505\pi$
$182$	−14.2096	−	33.8586i	−1.05329	−	2.50976i
$183$			0.635629i			0.0469871i
$184$	−3.64129	−	2.10230i	−0.268439	−	0.154984i
$185$	3.13020	−	1.71391i	0.230137	−	0.126009i
$186$	4.33565	+	7.50957i	0.317905	+	0.550628i
$187$	6.21128			0.454214
$188$	21.9495	+	38.0177i	1.60083	+	2.77272i
$189$	3.23285	−	1.86649i	0.235156	−	0.135767i
$190$	−7.09483	+	11.6701i	−0.514713	+	0.846636i
$191$	−8.30162	−	14.3788i	−0.600684	−	1.04042i	−0.992718	−	0.120465i	$-0.961562\pi$
$191$	−8.30162	−	14.3788i	−0.600684	−	1.04042i	0.392033	−	0.919951i	$-0.371772\pi$
$192$	25.0896	+	14.4855i	1.81069	+	1.04540i
$193$	6.56697	−	11.3743i	0.472701	−	0.818742i	−0.526811	−	0.849982i	$-0.676613\pi$
$193$	6.56697	−	11.3743i	0.472701	−	0.818742i	0.999512	+	0.0312407i	$0.00994585\pi$
$194$	−34.0546			−2.44498
$195$	−5.02227	+	6.30688i	−0.359652	+	0.451645i
$196$	37.7467			2.69619
$197$	8.29927	−	14.3748i	0.591298	−	1.02416i	−0.402759	−	0.915306i	$-0.631949\pi$
$197$	8.29927	−	14.3748i	0.591298	−	1.02416i	0.994058	−	0.108853i	$-0.0347178\pi$
$198$	5.52918	+	3.19227i	0.392942	+	0.226865i
$199$	−7.70000	−	13.3368i	−0.545839	−	0.945420i	−0.998554	−	0.0537648i	$-0.982878\pi$
$199$	−7.70000	−	13.3368i	−0.545839	−	0.945420i	0.452715	−	0.891655i	$-0.350455\pi$
$200$	21.6158	+	41.6923i	1.52847	+	2.94809i
$201$	8.76809	−	5.06226i	0.618453	−	0.357064i
$202$	0.952000	+	1.64891i	0.0669825	+	0.116017i
$203$	−5.78362			−0.405931
$204$	7.22292	+	12.5105i	0.505706	+	0.875908i
$205$	1.07479	+	1.96295i	0.0750669	+	0.137099i
$206$	9.27183	+	5.35309i	0.645999	+	0.372968i
$207$		−	0.447654i		−	0.0311141i
$208$	52.7179	+	6.69099i	3.65533	+	0.463936i
$209$	5.23937			0.362415
$210$	−10.9367	−	19.9743i	−0.754705	−	1.37836i
$211$	2.80652	−	4.86103i	0.193209	−	0.334647i	−0.753103	−	0.657902i	$-0.771444\pi$
$211$	2.80652	−	4.86103i	0.193209	−	0.334647i	0.946312	+	0.323255i	$0.104777\pi$
$212$	−39.3023	+	22.6912i	−2.69929	+	1.55844i
$213$	3.79537			0.260055
$214$	−3.83669	+	2.21511i	−0.262271	+	0.151422i
$215$	−26.1085	−	0.591364i	−1.78059	−	0.0403307i
$216$			9.39252i			0.639080i
$217$	−10.2755	+	5.93255i	−0.697544	+	0.402727i
$218$	−41.6008	−	24.0182i	−2.81756	−	1.62672i
$219$	0.0427816	+	0.0246999i	0.00289091	+	0.00166907i
$220$	14.7959	−	24.3373i	0.997539	−	1.64082i
$221$	7.61906	+	5.79017i	0.512513	+	0.389489i
$222$		−	4.35406i		−	0.292225i
$223$	−9.04102	+	15.6595i	−0.605431	+	1.04864i	0.386552	+	0.922268i	$0.373666\pi$
$223$	−9.04102	+	15.6595i	−0.605431	+	1.04864i	−0.991983	+	0.126370i	$0.959667\pi$
$224$	−39.9879	+	69.2610i	−2.67180	+	4.62770i
$225$	−2.69349	+	4.21249i	−0.179566	+	0.280833i
$226$		−	51.1293i		−	3.40107i
$227$	4.23521	+	7.33560i	0.281101	+	0.486881i	0.971656	−	0.236399i	$-0.0759671\pi$
$227$	4.23521	+	7.33560i	0.281101	+	0.486881i	−0.690555	+	0.723280i	$0.742634\pi$
$228$	6.09271	+	10.5529i	0.403500	+	0.698882i
$229$			23.6883i			1.56537i	0.622419	+	0.782684i	$0.286150\pi$
$229$			23.6883i			1.56537i	−0.622419	+	0.782684i	$0.713850\pi$
$230$	−2.73014	−	0.0618382i	−0.180020	−	0.00407749i
$231$	−4.36805	+	7.56568i	−0.287396	+	0.497785i
$232$	7.27606	−	12.6025i	0.477697	−	0.827396i
$233$			4.75242i			0.311341i	0.987809	+	0.155671i	$0.0497539\pi$
$233$			4.75242i			0.311341i	−0.987809	+	0.155671i	$0.950246\pi$
$234$	3.80652	+	9.07012i	0.248840	+	0.592932i
$235$	15.4106	+	9.36886i	1.00527	+	0.611157i
$236$	25.0963	+	14.4894i	1.63363	+	0.943177i
$237$	1.67588	+	0.967567i	0.108860	+	0.0628502i
$238$	−23.4085	+	13.5149i	−1.51735	+	0.876042i
$239$		−	13.2798i		−	0.859002i	−0.903066	−	0.429501i	$-0.858690\pi$
$239$		−	13.2798i		−	0.859002i	0.903066	−	0.429501i	$-0.141310\pi$
$240$	32.9481	+	0.746282i	2.12679	+	0.0481723i
$241$	8.62590	−	4.98016i	0.555643	−	0.320801i	−0.195752	−	0.980653i	$-0.562715\pi$
$241$	8.62590	−	4.98016i	0.555643	−	0.320801i	0.751395	+	0.659853i	$0.229381\pi$
$242$	15.0683			0.968624
$243$	−0.866025	+	0.500000i	−0.0555556	+	0.0320750i
$244$	1.72981	−	2.99611i	0.110739	−	0.191806i
$245$	13.6020	−	7.44762i	0.868998	−	0.475811i
$246$	2.73043			0.174086
$247$	6.42686	+	4.88415i	0.408932	+	0.310771i
$248$		−	29.8537i		−	1.89571i
$249$	6.61019	+	3.81639i	0.418904	+	0.241854i
$250$	25.3190	+	17.0089i	1.60131	+	1.07574i
$251$	−9.95334	−	17.2397i	−0.628249	−	1.08816i	−0.987903	−	0.155073i	$-0.950439\pi$
$251$	−9.95334	−	17.2397i	−0.628249	−	1.08816i	0.359654	−	0.933086i	$-0.382895\pi$
$252$	−20.3179			−1.27991
$253$	0.523810	+	0.907266i	0.0329317	+	0.0570393i
$254$	29.3894	−	16.9680i	1.84405	−	1.06466i
$255$	5.07116	+	3.08301i	0.317568	+	0.193066i
$256$	−20.3937	−	35.3230i	−1.27461	−	2.20769i
$257$	−15.9957	−	9.23510i	−0.997782	−	0.576070i	−0.0901908	−	0.995925i	$-0.528748\pi$
$257$	−15.9957	−	9.23510i	−0.997782	−	0.576070i	−0.907591	+	0.419855i	$0.862081\pi$
$258$	−15.9312	+	27.5936i	−0.991830	+	1.71790i
$259$	5.95773			0.370195
$260$	40.8367	−	16.0606i	2.53258	−	0.996034i
$261$	1.54933			0.0959012
$262$	7.56787	−	13.1079i	0.467545	−	0.809811i
$263$	8.70446	+	5.02552i	0.536740	+	0.309887i	0.743757	−	0.668450i	$-0.233042\pi$
$263$	8.70446	+	5.02552i	0.536740	+	0.309887i	−0.207017	+	0.978337i	$0.566375\pi$
$264$	−10.9904	−	19.0360i	−0.676413	−	1.17158i
$265$	−9.68544	+	15.9313i	−0.594972	+	0.978652i
$266$	−19.7457	+	11.4002i	−1.21069	+	0.698989i
$267$	−2.63289	−	4.56030i	−0.161130	−	0.279086i
$268$	−55.1059			−3.36613
$269$	−11.1969	−	19.3936i	−0.682688	−	1.18245i	−0.974157	−	0.225870i	$-0.927477\pi$
$269$	−11.1969	−	19.3936i	−0.682688	−	1.18245i	0.291469	−	0.956580i	$-0.405856\pi$
$270$	2.92975	+	5.35076i	0.178299	+	0.325637i
$271$	13.0612	+	7.54088i	0.793410	+	0.458076i	0.841162	−	0.540784i	$-0.181872\pi$
$271$	13.0612	+	7.54088i	0.793410	+	0.458076i	−0.0477516	+	0.998859i	$0.515206\pi$
$272$		−	39.1179i		−	2.37187i
$273$	−12.4108	+	5.20852i	−0.751136	+	0.315234i
$274$	−36.9743			−2.23370
$275$	0.529800	−	11.6892i	0.0319481	−	0.704887i
$276$	−1.21825	+	2.11007i	−0.0733299	+	0.127011i
$277$	11.0406	−	6.37430i	0.663366	−	0.382994i	−0.130192	−	0.991489i	$-0.541559\pi$
$277$	11.0406	−	6.37430i	0.663366	−	0.382994i	0.793558	+	0.608494i	$0.208226\pi$
$278$	14.7551			0.884950
$279$	2.75262	−	1.58923i	0.164795	−	0.0951445i
$280$	−1.77535	+	78.3811i	−0.106098	+	4.68417i
$281$		−	2.48331i		−	0.148142i	−0.997253	−	0.0740709i	$-0.976401\pi$
$281$		−	2.48331i		−	0.148142i	0.997253	−	0.0740709i	$-0.0235991\pi$
$282$	19.0559	−	11.0020i	1.13476	−	0.655157i
$283$	6.72924	+	3.88513i	0.400012	+	0.230947i	0.686489	−	0.727140i	$-0.259151\pi$
$283$	6.72924	+	3.88513i	0.400012	+	0.230947i	−0.286477	+	0.958087i	$0.592484\pi$
$284$	−17.8899	−	10.3288i	−1.06157	−	0.612899i
$285$	4.27764	+	2.60060i	0.253386	+	0.154046i
$286$	−18.3279	−	13.9284i	−1.08375	−	0.823605i
$287$			3.73610i			0.220535i
$288$	10.7121	−	18.5538i	0.631214	−	1.09329i
$289$	−4.97784	+	8.62187i	−0.292814	+	0.507169i
$290$	0.214022	−	9.44901i	0.0125678	−	0.554865i
$291$			12.4827i			0.731747i
$292$	−0.134437	−	0.232852i	−0.00786734	−	0.0136266i
$293$	7.69740	+	13.3323i	0.449687	+	0.778881i	0.998365	−	0.0571527i	$-0.0182022\pi$
$293$	7.69740	+	13.3323i	0.449687	+	0.778881i	−0.548678	+	0.836034i	$0.684869\pi$
$294$		−	18.9201i		−	1.10344i
$295$	11.9023	+	0.269589i	0.692976	+	0.0156961i
$296$	−7.49510	+	12.9819i	−0.435644	+	0.754558i
$297$	1.17012	−	2.02671i	0.0678974	−	0.117602i
$298$			40.0132i			2.31790i
$299$	−0.203224	+	1.60119i	−0.0117528	+	0.0925994i
$300$	24.1600	−	12.5260i	1.39488	−	0.723188i
$301$	−37.7568	−	21.7989i	−2.17626	−	1.25647i
$302$	29.1283	+	16.8172i	1.67614	+	0.967722i
$303$	0.604407	−	0.348954i	0.0347222	−	0.0200469i
$304$		−	32.9969i		−	1.89250i
$305$	0.0321848	−	1.42095i	0.00184289	−	0.0813631i
$306$	6.27074	−	3.62041i	0.358474	−	0.206965i
$307$	−26.0526			−1.48690			−0.743451	−	0.668790i	$-0.766812\pi$
$307$	−26.0526			−1.48690			−0.743451	+	0.668790i	$0.766812\pi$
$308$	41.1786	−	23.7745i	2.34637	−	1.35468i
$309$	1.96217	−	3.39858i	0.111624	−	0.193338i
$310$	−9.31208	−	17.0071i	−0.528891	−	0.965940i
$311$	−10.6032			−0.601255			−0.300627	−	0.953742i	$-0.597196\pi$
$311$	−10.6032			−0.601255			−0.300627	+	0.953742i	$0.597196\pi$
$312$	4.26399	−	33.5957i	0.241401	−	1.90198i
$313$			1.86028i			0.105149i	0.998617	+	0.0525745i	$0.0167427\pi$
$313$			1.86028i			0.105149i	−0.998617	+	0.0525745i	$0.983257\pi$
$314$	−58.5584	−	33.8087i	−3.30464	−	1.90793i
$315$	−7.32154	+	4.00883i	−0.412522	+	0.225872i
$316$	−5.26629	−	9.12148i	−0.296252	−	0.513123i
$317$	−8.78399			−0.493358			−0.246679	−	0.969097i	$-0.579339\pi$
$317$	−8.78399			−0.493358			−0.246679	+	0.969097i	$0.579339\pi$
$318$	11.3737	+	19.6998i	0.637806	+	1.10471i
$319$	−3.14005	+	1.81291i	−0.175809	+	0.101503i
$320$	−55.3543	−	33.6527i	−3.09440	−	1.88124i
$321$	0.811946	+	1.40633i	0.0453184	+	0.0784938i
$322$	−3.94818	−	2.27948i	−0.220023	−	0.127031i
$323$	2.97103	−	5.14597i	0.165312	−	0.286329i
$324$	5.44282			0.302379
$325$	11.5466	−	13.8447i	0.640491	−	0.767966i
$326$	43.4633			2.40721
$327$	−8.80385	+	15.2487i	−0.486854	+	0.843256i
$328$	−8.14097	−	4.70019i	−0.449510	−	0.259525i
$329$	15.0542	+	26.0746i	0.829963	+	1.43754i
$330$	−12.1988	−	7.41628i	−0.671523	−	0.408253i
$331$	13.6130	−	7.85944i	0.748235	−	0.431994i	−0.0768205	−	0.997045i	$-0.524477\pi$
$331$	13.6130	−	7.85944i	0.748235	−	0.431994i	0.825056	+	0.565051i	$0.191144\pi$
$332$	−20.7719	−	35.9780i	−1.14001	−	1.97455i
$333$	−1.59597			−0.0874587
$334$	34.6906	+	60.0859i	1.89818	+	3.28775i
$335$	−19.8573	+	10.8727i	−1.08492	+	0.594038i
$336$	47.6478	+	27.5095i	2.59940	+	1.50076i
$337$		−	23.7835i		−	1.29557i	−0.761824	−	0.647784i	$-0.775696\pi$
$337$		−	23.7835i		−	1.29557i	0.761824	−	0.647784i	$-0.224304\pi$
$338$	−9.49774	−	34.1706i	−0.516609	−	1.85863i
$339$	−18.7414			−1.01789
$340$	−15.5133	−	28.3328i	−0.841329	−	1.53656i
$341$	−3.71918	+	6.44181i	−0.201405	+	0.348844i
$342$	5.28952	−	3.05391i	0.286025	−	0.165136i
$343$	−0.242143			−0.0130745
$344$	94.9996	−	54.8480i	5.12203	−	2.95721i
$345$	−0.0226667	+	1.00073i	−0.00122033	+	0.0538773i
$346$			36.9170i			1.98467i
$347$	25.4580	−	14.6982i	1.36666	−	0.789039i	0.376157	−	0.926556i	$-0.377245\pi$
$347$	25.4580	−	14.6982i	1.36666	−	0.789039i	0.990499	+	0.137517i	$0.0439121\pi$
$348$	−7.30295	−	4.21636i	−0.391479	−	0.226021i
$349$	−17.1537	−	9.90370i	−0.918217	−	0.530133i	−0.0351512	−	0.999382i	$-0.511191\pi$
$349$	−17.1537	−	9.90370i	−0.918217	−	0.530133i	−0.883066	+	0.469249i	$0.844525\pi$
$350$	23.4376	+	45.2062i	1.25279	+	2.41637i
$351$	3.32464	−	1.39527i	0.177456	−	0.0744742i
$352$			50.1377i			2.67235i
$353$	−0.734126	+	1.27154i	−0.0390736	+	0.0676775i	−0.884901	−	0.465779i	$-0.845774\pi$
$353$	−0.734126	+	1.27154i	−0.0390736	+	0.0676775i	0.845827	+	0.533457i	$0.179107\pi$
$354$	7.26264	−	12.5793i	0.386005	−	0.668580i
$355$	−8.48454	−	0.192177i	−0.450312	−	0.0101997i
$356$			28.6607i			1.51901i
$357$	4.95387	+	8.58036i	0.262187	+	0.454121i
$358$	16.0489	+	27.7975i	0.848211	+	1.46914i
$359$			35.9295i			1.89629i	0.317840	+	0.948144i	$0.397043\pi$
$359$			35.9295i			1.89629i	−0.317840	+	0.948144i	$0.602957\pi$
$360$	0.475586	−	20.9969i	0.0250656	−	1.10664i
$361$	−6.99386	+	12.1137i	−0.368098	+	0.637565i
$362$	−18.1345	+	31.4099i	−0.953130	+	1.65087i
$363$		−	5.52324i		−	0.289895i
$364$	72.6743	+	9.22386i	3.80917	+	0.483462i
$365$	−0.0943873	−	0.0573828i	−0.00494046	−	0.00300355i
$366$	−1.50177	−	0.867047i	−0.0784987	−	0.0453213i
$367$	19.7705	+	11.4145i	1.03201	+	0.595833i	0.917561	−	0.397595i	$-0.130155\pi$
$367$	19.7705	+	11.4145i	1.03201	+	0.595833i	0.114453	+	0.993429i	$0.463488\pi$
$368$	5.71385	−	3.29889i	0.297855	−	0.171967i
$369$		−	1.00084i		−	0.0521015i
$370$	−0.220465	+	9.73347i	−0.0114614	+	0.506019i
$371$	−26.9557	+	15.5629i	−1.39947	+	0.807983i
$372$	−17.2997			−0.896949
$373$	−17.8144	+	10.2851i	−0.922394	+	0.532545i	−0.884398	−	0.466733i	$-0.845431\pi$
$373$	−17.8144	+	10.2851i	−0.922394	+	0.532545i	−0.0379961	+	0.999278i	$0.512097\pi$
$374$	−8.47266	+	14.6751i	−0.438111	+	0.758830i
$375$	6.23459	−	9.28062i	0.321953	−	0.479249i
$376$	−75.7554			−3.90678
$377$	−5.54174	−	0.703360i	−0.285414	−	0.0362249i
$378$			10.1841i			0.523815i
$379$	22.4067	+	12.9365i	1.15096	+	0.664505i	0.949120	−	0.314914i	$-0.101976\pi$
$379$	22.4067	+	12.9365i	1.15096	+	0.664505i	0.201836	+	0.979419i	$0.435309\pi$
$380$	−13.0859	−	23.8994i	−0.671292	−	1.22602i
$381$	−6.21958	−	10.7726i	−0.318639	−	0.551898i
$382$	45.2962			2.31755
$383$	5.90514	+	10.2280i	0.301739	+	0.522627i	0.976530	−	0.215382i	$-0.0690996\pi$
$383$	5.90514	+	10.2280i	0.301739	+	0.522627i	−0.674791	+	0.738009i	$0.735766\pi$
$384$	−31.3407	+	18.0946i	−1.59935	+	0.923385i
$385$	10.1478	−	16.6919i	0.517181	−	0.850696i
$386$	17.9157	+	31.0309i	0.911885	+	1.57943i
$387$	10.1144	+	5.83954i	0.514143	+	0.296841i
$388$	33.9704	−	58.8385i	1.72459	−	2.98707i
$389$	4.31443			0.218750			0.109375	−	0.994001i	$-0.465115\pi$
$389$	4.31443			0.218750			0.109375	+	0.994001i	$0.465115\pi$
$390$	−8.05019	−	20.4689i	−0.407637	−	1.03649i
$391$	1.18812			0.0600860
$392$	−32.5692	+	56.4115i	−1.64499	+	2.84921i
$393$	−4.80470	−	2.77399i	−0.242365	−	0.139929i
$394$	22.6417	+	39.2165i	1.14067	+	1.97570i
$395$	−3.69742	−	2.24785i	−0.186037	−	0.113102i
$396$	−11.0310	+	6.36877i	−0.554330	+	0.320043i
$397$	−8.29714	−	14.3711i	−0.416421	−	0.721263i	0.579155	−	0.815217i	$-0.303383\pi$
$397$	−8.29714	−	14.3711i	−0.416421	−	0.721263i	−0.995577	+	0.0939544i	$0.970049\pi$
$398$	42.0135			2.10595
$399$	4.17872	+	7.23775i	0.209197	+	0.362341i
$400$	−73.6175	−	3.33662i	−3.68087	−	0.166831i
$401$	−1.05626	−	0.609829i	−0.0527469	−	0.0304534i	0.473395	−	0.880850i	$-0.343028\pi$
$401$	−1.05626	−	0.609829i	−0.0527469	−	0.0304534i	−0.526142	+	0.850397i	$0.676362\pi$
$402$			27.6212i			1.37762i
$403$	−10.5672	+	4.43481i	−0.526390	+	0.220913i
$404$	−3.79859			−0.188987
$405$	1.96131	−	1.07390i	0.0974584	−	0.0533623i
$406$	7.88930	−	13.6647i	0.391539	−	0.678166i
$407$	3.23458	−	1.86748i	0.160332	−	0.0925678i
$408$	−24.9288			−1.23416
$409$	−22.0397	+	12.7246i	−1.08979	+	0.629191i	−0.933521	−	0.358523i	$-0.883280\pi$
$409$	−22.0397	+	12.7246i	−1.08979	+	0.629191i	−0.156270	+	0.987714i	$0.549947\pi$
$410$	−6.10387	−	0.138254i	−0.301449	−	0.00682789i
$411$			13.5529i			0.668514i
$412$	−18.4978	+	10.6797i	−0.911322	+	0.526152i
$413$	17.2124	+	9.93759i	0.846968	+	0.488997i
$414$	1.05765	+	0.610634i	0.0519806	+	0.0300110i
$415$	−14.5838	−	8.86623i	−0.715891	−	0.435226i
$416$	−46.7385	+	61.5014i	−2.29154	+	3.01535i
$417$		−	5.40844i		−	0.264853i
$418$	−7.14690	+	12.3788i	−0.349566	+	0.605466i
$419$	16.0653	−	27.8259i	0.784840	−	1.35938i	−0.144255	−	0.989541i	$-0.546079\pi$
$419$	16.0653	−	27.8259i	0.784840	−	1.35938i	0.929095	−	0.369842i	$-0.120588\pi$
$420$	45.4206	+	1.02879i	2.21630	+	0.0501997i
$421$		−	11.6222i		−	0.566433i	−0.959056	−	0.283217i	$-0.908598\pi$
$421$		−	11.6222i		−	0.566433i	0.959056	−	0.283217i	$-0.0914016\pi$
$422$	7.65660	+	13.2616i	0.372718	+	0.645566i
$423$	−4.03275	−	6.98492i	−0.196079	−	0.339619i
$424$		−	78.3152i		−	3.80332i
$425$	−11.1804	−	7.14883i	−0.542331	−	0.346769i
$426$	−5.17718	+	8.96713i	−0.250835	+	0.434459i
$427$	1.18640	−	2.05490i	0.0574137	−	0.0994434i
$428$		−	8.83855i		−	0.427227i
$429$	−5.10545	+	6.71805i	−0.246493	+	0.324351i
$430$	37.0112	−	60.8786i	1.78484	−	2.93583i
$431$	18.2332	+	10.5269i	0.878260	+	0.507064i	0.870084	−	0.492903i	$-0.164064\pi$
$431$	18.2332	+	10.5269i	0.878260	+	0.507064i	0.00817569	+	0.999967i	$0.497398\pi$
$432$	−12.7640	−	7.36930i	−0.614109	−	0.354556i
$433$	−14.4642	+	8.35090i	−0.695105	+	0.401319i	−0.805522	−	0.592566i	$-0.798115\pi$
$433$	−14.4642	+	8.35090i	−0.695105	+	0.401319i	0.110417	+	0.993885i	$0.464781\pi$
$434$		−	32.3698i		−	1.55380i
$435$	−3.46352	−	0.0784496i	−0.166063	−	0.00376137i
$436$	82.9959	−	47.9177i	3.97478	−	2.29484i
$437$	1.00221			0.0479423
$438$	−0.116715	+	0.0673852i	−0.00557684	+	0.00321979i
$439$	8.72877	−	15.1187i	0.416601	−	0.721575i	−0.578994	−	0.815332i	$-0.696554\pi$
$439$	8.72877	−	15.1187i	0.416601	−	0.721575i	0.995595	+	0.0937572i	$0.0298877\pi$
$440$	23.6051	+	43.1113i	1.12533	+	2.05525i
$441$	−6.93513			−0.330244
$442$	−24.0731	+	10.1029i	−1.14504	+	0.480547i
$443$			15.4536i			0.734220i	0.930177	+	0.367110i	$0.119653\pi$
$443$			15.4536i			0.734220i	−0.930177	+	0.367110i	$0.880347\pi$
$444$	7.52280	+	4.34329i	0.357016	+	0.206123i
$445$	5.65490	+	10.3278i	0.268068	+	0.489587i
$446$	−24.6653	−	42.7215i	−1.16793	−	2.02292i
$447$	14.6668			0.693715
$448$	−54.0741	−	93.6591i	−2.55476	−	4.42498i
$449$	−15.5420	+	8.97319i	−0.733473	+	0.423471i	−0.819691	−	0.572805i	$-0.805855\pi$
$449$	−15.5420	+	8.97319i	−0.733473	+	0.423471i	0.0862182	+	0.996276i	$0.472522\pi$
$450$	−6.27851	−	12.1099i	−0.295972	−	0.570868i
$451$	1.17110	+	2.02841i	0.0551451	+	0.0955140i
$452$	88.3397	+	51.0029i	4.15515	+	2.39898i
$453$	6.16433	−	10.6769i	0.289625	−	0.501646i
$454$	−23.1086			−1.08454
$455$	28.0080	−	11.0152i	1.31304	−	0.516401i
$456$	−21.0281			−0.984730
$457$	11.5720	−	20.0433i	0.541315	−	0.937586i	−0.457514	−	0.889203i	$-0.651260\pi$
$457$	11.5720	−	20.0433i	0.541315	−	0.937586i	0.998829	−	0.0483830i	$-0.0154068\pi$
$458$	−55.9672	−	32.3127i	−2.61518	−	1.50987i
$459$	−1.32706	−	2.29853i	−0.0619417	−	0.107286i
$460$	2.83023	−	4.65536i	0.131960	−	0.217057i
$461$	−12.0519	+	6.95814i	−0.561311	+	0.324073i	−0.753671	−	0.657251i	$-0.771719\pi$
$461$	−12.0519	+	6.95814i	−0.561311	+	0.324073i	0.192361	+	0.981324i	$0.438386\pi$
$462$	−11.9167	−	20.6403i	−0.554415	−	0.960275i
$463$	−7.46187			−0.346783			−0.173391	−	0.984853i	$-0.555473\pi$
$463$	−7.46187			−0.346783			−0.173391	+	0.984853i	$0.555473\pi$
$464$	11.4175	+	19.7757i	0.530044	+	0.918063i
$465$	−6.23394	+	3.41333i	−0.289092	+	0.158289i
$466$	−11.2283	−	6.48266i	−0.520141	−	0.300304i
$467$			6.50590i			0.301057i	0.988606	+	0.150529i	$0.0480975\pi$
$467$			6.50590i			0.301057i	−0.988606	+	0.150529i	$0.951902\pi$
$468$	−19.4682	−	2.47091i	−0.899916	−	0.114218i
$469$	−37.7946			−1.74519
$470$	−43.1565	+	23.6299i	−1.99066	+	1.08997i
$471$	−12.3925	+	21.4645i	−0.571017	+	0.989031i
$472$	−43.3081	+	25.0039i	−1.99341	+	1.15090i
$473$	−27.3319			−1.25672
$474$	−4.57204	+	2.63967i	−0.210001	+	0.121244i
$475$	−9.43097	−	6.03022i	−0.432723	−	0.276685i
$476$		−	53.9260i		−	2.47170i
$477$	7.22095	−	4.16902i	0.330625	−	0.190886i
$478$	31.3756	+	18.1147i	1.43509	+	0.828548i
$479$	−2.56069	−	1.47842i	−0.117001	−	0.0675506i	0.440357	−	0.897823i	$-0.354852\pi$
$479$	−2.56069	−	1.47842i	−0.117001	−	0.0675506i	−0.557358	+	0.830272i	$0.688185\pi$
$480$	−24.8862	+	40.9346i	−1.13589	+	1.86840i
$481$	5.70856	+	0.724534i	0.260288	+	0.0330359i
$482$			27.1733i			1.23771i
$483$	−0.835541	+	1.44720i	−0.0380184	+	0.0658498i
$484$	−15.0310	+	26.0345i	−0.683227	+	1.18338i
$485$	0.632053	−	27.9049i	0.0287001	−	1.26710i
$486$		−	2.72815i		−	0.123752i
$487$	−7.61819	−	13.1951i	−0.345213	−	0.597927i	0.640179	−	0.768226i	$-0.278860\pi$
$487$	−7.61819	−	13.1951i	−0.345213	−	0.597927i	−0.985392	+	0.170299i	$0.945527\pi$
$488$	2.98508	+	5.17031i	0.135128	+	0.234049i
$489$		−	15.9314i		−	0.720443i
$490$	−0.958010	+	42.2958i	−0.0432785	+	1.91073i
$491$	8.42838	−	14.5984i	0.380367	−	0.658816i	−0.610747	−	0.791826i	$-0.709131\pi$
$491$	8.42838	−	14.5984i	0.380367	−	0.658816i	0.991115	+	0.133010i	$0.0424642\pi$
$492$	−2.72368	+	4.71756i	−0.122793	+	0.212684i
$493$			4.11210i			0.185200i
$494$	−20.3063	+	8.52207i	−0.913622	+	0.383426i
$495$	−2.71843	+	4.47146i	−0.122184	+	0.200977i
$496$	40.5698	+	23.4230i	1.82164	+	1.05172i
$497$	−12.2699	−	7.08402i	−0.550380	−	0.317762i
$498$	−18.0336	+	10.4117i	−0.808105	+	0.466560i
$499$			5.35532i			0.239737i	0.992790	+	0.119869i	$0.0382473\pi$
$499$			5.35532i			0.239737i	−0.992790	+	0.119869i	$0.961753\pi$
$500$	−54.6438	+	26.7784i	−2.44374	+	1.19757i
$501$	22.0244	−	12.7158i	0.983977	−	0.568099i
$502$	54.3084			2.42390
$503$	−35.1282	+	20.2812i	−1.56629	+	0.904296i	−0.569691	+	0.821859i	$0.692937\pi$
$503$	−35.1282	+	20.2812i	−1.56629	+	0.904296i	−0.996596	+	0.0824369i	$0.973730\pi$
$504$	17.5310	−	30.3647i	0.780895	−	1.35255i
$505$	−1.36882	+	0.749482i	−0.0609115	+	0.0333515i
$506$	−2.85807			−0.127057
$507$	−12.5252	+	3.48138i	−0.556262	+	0.154614i
$508$			67.7040i			3.00388i
$509$	29.6048	+	17.0923i	1.31221	+	0.757605i	0.982462	−	0.186464i	$-0.0597027\pi$
$509$	29.6048	+	17.0923i	1.31221	+	0.757605i	0.329748	+	0.944069i	$0.393036\pi$
$510$	−14.2015	+	7.77590i	−0.628854	+	0.344323i
$511$	−0.0922044	−	0.159703i	−0.00407888	−	0.00706483i
$512$	38.8961			1.71898
$513$	−1.11941	−	1.93887i	−0.0494229	−	0.0856030i
$514$	43.6386	−	25.1948i	1.92482	−	1.11129i
$515$	−4.55850	+	7.49814i	−0.200872	+	0.330408i
$516$	−31.7835	−	55.0507i	−1.39919	−	2.42347i
$517$	16.3464	+	9.43763i	0.718916	+	0.415066i
$518$	−8.12680	+	14.0760i	−0.357071	+	0.618465i
$519$	13.5319			0.593983
$520$	−11.2332	+	74.8871i	−0.492610	+	3.28402i
$521$	41.1861			1.80440			0.902198	−	0.431321i	$-0.141952\pi$
$521$	41.1861			1.80440			0.902198	+	0.431321i	$0.141952\pi$
$522$	−2.11341	+	3.66053i	−0.0925013	+	0.160217i
$523$	−3.27850	−	1.89284i	−0.143359	−	0.0827682i	0.426605	−	0.904438i	$-0.359709\pi$
$523$	−3.27850	−	1.89284i	−0.143359	−	0.0827682i	−0.569964	+	0.821670i	$0.693043\pi$
$524$	15.0983	+	26.1511i	0.659573	+	1.14241i
$525$	16.5702	−	8.59100i	0.723185	−	0.374942i
$526$	−23.7471	+	13.7104i	−1.03542	+	0.597802i
$527$	4.21798	+	7.30576i	0.183738	+	0.318244i
$528$	34.4920			1.50107
$529$	−11.3998	−	19.7450i	−0.495644	−	0.858480i
$530$	−24.4284	−	44.6148i	−1.06110	−	1.93794i
$531$	−4.61091	−	2.66211i	−0.200096	−	0.115526i
$532$		−	45.4880i		−	1.97215i
$533$	−0.454357	+	3.57985i	−0.0196804	+	0.155060i
$534$	14.3659			0.621671
$535$	−1.74389	−	3.18496i	−0.0753950	−	0.137698i
$536$	47.5474	−	82.3545i	2.05373	−	3.55717i
$537$	10.1891	−	5.88270i	0.439694	−	0.253857i
$538$	61.0938			2.63394
$539$	14.0555	−	8.11496i	0.605414	−	0.349536i
$540$	−12.1674	−	0.275594i	−0.523601	−	0.0118597i
$541$		−	3.22373i		−	0.138599i	−0.997596	−	0.0692995i	$-0.977924\pi$
$541$		−	3.22373i		−	0.138599i	0.997596	−	0.0692995i	$-0.0220764\pi$
$542$	−35.6329	+	20.5727i	−1.53056	+	0.883671i
$543$	11.5133	+	6.64718i	0.494081	+	0.285258i
$544$	49.2440	+	28.4310i	2.11132	+	1.21897i
$545$	20.4531	−	33.6426i	0.876113	−	1.44109i
$546$	4.62336	−	36.4272i	0.197862	−	1.55894i
$547$		−	3.95250i		−	0.168997i	−0.996424	−	0.0844983i	$-0.973071\pi$
$547$		−	3.95250i		−	0.168997i	0.996424	−	0.0844983i	$-0.0269288\pi$
$548$	36.8829	−	63.8831i	1.57556	−	2.72895i
$549$	−0.317815	+	0.550471i	−0.0135640	+	0.0234935i
$550$	26.8949	+	17.1967i	1.14680	+	0.733271i
$551$			3.46866i			0.147770i
$552$	−2.10230	−	3.64129i	−0.0894798	−	0.154984i
$553$	−3.61191	−	6.25601i	−0.153594	−	0.266033i
$554$			34.7801i			1.47767i
$555$	3.56779	+	0.0808112i	0.151444	+	0.00343025i
$556$	−14.7186	+	25.4933i	−0.624207	+	1.08116i
$557$	−10.9335	+	18.9374i	−0.463268	+	0.802404i	−0.999122	−	0.0419069i	$-0.986657\pi$
$557$	−10.9335	+	18.9374i	−0.463268	+	0.802404i	0.535853	+	0.844311i	$0.319990\pi$
$558$			8.67130i			0.367085i
$559$	−33.5267	−	25.4789i	−1.41803	−	1.07764i
$560$	−105.123	−	63.9099i	−4.44227	−	2.70068i
$561$	5.37913	+	3.10564i	0.227107	+	0.131120i
$562$	5.86719	+	3.38742i	0.247492	+	0.142890i
$563$	−18.0807	+	10.4389i	−0.762013	+	0.439948i	−0.830018	−	0.557737i	$-0.811670\pi$
$563$	−18.0807	+	10.4389i	−0.762013	+	0.439948i	0.0680053	+	0.997685i	$0.478337\pi$
$564$			43.8990i			1.84848i
$565$	41.8962	+	0.948960i	1.76259	+	0.0399231i
$566$	−18.3584	+	10.5992i	−0.771661	+	0.445519i
$567$	3.73298			0.156770
$568$	30.8722	−	17.8241i	1.29537	−	0.747881i
$569$	−8.19610	+	14.1961i	−0.343599	+	0.595130i	−0.985098	−	0.171993i	$-0.944979\pi$
$569$	−8.19610	+	14.1961i	−0.343599	+	0.595130i	0.641500	+	0.767123i	$0.278313\pi$
$570$	−11.9793	+	6.55916i	−0.501759	+	0.274733i
$571$	43.2862			1.81147			0.905735	−	0.423843i	$-0.139319\pi$
$571$	43.2862			1.81147			0.905735	+	0.423843i	$0.139319\pi$
$572$	42.3477	−	17.7723i	1.77065	−	0.743099i
$573$		−	16.6032i		−	0.693610i
$574$	−8.82710	−	5.09633i	−0.368436	−	0.212717i
$575$	0.101343	−	2.23597i	0.00422628	−	0.0932465i
$576$	14.4855	+	25.0896i	0.603563	+	1.04540i
$577$	−20.6414			−0.859311			−0.429656	−	0.902993i	$-0.641365\pi$
$577$	−20.6414			−0.859311			−0.429656	+	0.902993i	$0.641365\pi$
$578$	−13.5803	−	23.5218i	−0.564866	−	0.978377i
$579$	11.3743	−	6.56697i	0.472701	−	0.272914i
$580$	16.1122	+	9.79543i	0.669023	+	0.406733i
$581$	−14.2465	−	24.6757i	−0.591045	−	1.02372i
$582$	−29.4922	−	17.0273i	−1.22249	−	0.705805i
$583$	−9.75653	+	16.8988i	−0.404074	+	0.699877i
$584$	0.463990			0.0192000
$585$	−7.50286	+	2.95078i	−0.310205	+	0.122000i
$586$	−41.9994			−1.73498
$587$	−4.86133	+	8.42007i	−0.200649	+	0.347534i	−0.948738	−	0.316065i	$-0.897638\pi$
$587$	−4.86133	+	8.42007i	−0.200649	+	0.347534i	0.748089	+	0.663598i	$0.230972\pi$
$588$	32.6896	+	18.8733i	1.34809	+	0.778323i
$589$	3.55797	+	6.16259i	0.146604	+	0.253925i
$590$	−16.8725	+	27.7531i	−0.694631	+	1.14258i
$591$	14.3748	−	8.29927i	0.591298	−	0.341386i
$592$	−11.7612	−	20.3710i	−0.483382	−	0.837243i
$593$	6.32051			0.259552			0.129776	−	0.991543i	$-0.458574\pi$
$593$	6.32051			0.259552			0.129776	+	0.991543i	$0.458574\pi$
$594$	3.19227	+	5.52918i	0.130981	+	0.226865i
$595$	−10.6399	−	19.4322i	−0.436193	−	0.796642i
$596$	−69.1336	−	39.9143i	−2.83182	−	1.63495i
$597$		−	15.4000i		−	0.630280i
$598$	−3.50584	−	2.66430i	−0.143365	−	0.108951i
$599$	−7.45206			−0.304483			−0.152241	−	0.988343i	$-0.548649\pi$
$599$	−7.45206			−0.304483			−0.152241	+	0.988343i	$0.548649\pi$
$600$	−2.12634	+	46.9145i	−0.0868074	+	1.91527i
$601$	3.05867	−	5.29776i	0.124766	−	0.216100i	−0.796876	−	0.604143i	$-0.793515\pi$
$601$	3.05867	−	5.29776i	0.124766	−	0.216100i	0.921641	+	0.388043i	$0.126849\pi$
$602$	103.006	−	59.4707i	4.19822	−	2.42384i
$603$	10.1245			0.412302
$604$	−58.1125	+	33.5513i	−2.36457	+	1.36518i
$605$	−0.279667	+	12.3472i	−0.0113701	+	0.501984i
$606$			1.90400i			0.0773447i
$607$	−35.6944	+	20.6082i	−1.44879	+	0.836460i	−0.998410	−	0.0563759i	$-0.982045\pi$
$607$	−35.6944	+	20.6082i	−1.44879	+	0.836460i	−0.450382	+	0.892836i	$0.648712\pi$
$608$	41.5385	+	23.9823i	1.68461	+	0.972609i
$609$	−5.00876	−	2.89181i	−0.202965	−	0.117182i
$610$	3.31329	+	2.01432i	0.134151	+	0.0815574i
$611$	11.2536	+	26.8148i	0.455271	+	1.08481i
$612$			14.4458i			0.583939i
$613$	12.7973	−	22.1655i	0.516877	−	0.895257i	−0.482931	−	0.875658i	$-0.660428\pi$
$613$	12.7973	−	22.1655i	0.516877	−	0.895257i	0.999808	−	0.0195987i	$-0.00623886\pi$
$614$	35.5378	−	61.5532i	1.43419	−	2.48409i
$615$	−0.0506768	+	2.23736i	−0.00204349	+	0.0902193i
$616$			82.0540i			3.30605i
$617$	−16.0897	−	27.8683i	−0.647749	−	1.12193i	−0.983659	−	0.180040i	$-0.942377\pi$
$617$	−16.0897	−	27.8683i	−0.647749	−	1.12193i	0.335910	−	0.941894i	$-0.390956\pi$
$618$	5.35309	+	9.27183i	0.215333	+	0.372968i
$619$		−	19.8298i		−	0.797028i	−0.917162	−	0.398514i	$-0.869526\pi$
$619$		−	19.8298i		−	0.797028i	0.917162	−	0.398514i	$-0.130474\pi$
$620$	38.6734	+	0.875963i	1.55316	+	0.0351795i
$621$	0.223827	−	0.387679i	0.00898186	−	0.0155570i
$622$	14.4636	−	25.0517i	0.579939	−	1.00448i
$623$			19.6570i			0.787543i
$624$	42.3095	+	32.1535i	1.69374	+	1.28717i
$625$	−14.4073	+	20.4311i	−0.576292	+	0.817244i
$626$	−4.39518	−	2.53756i	−0.175667	−	0.101421i
$627$	4.53743	+	2.61968i	0.181207	+	0.104620i
$628$	116.827	−	67.4502i	4.66191	−	2.69156i
$629$		−	4.23589i		−	0.168896i
$630$	0.515669	−	22.7666i	0.0205447	−	0.907042i
$631$	−19.0859	+	11.0192i	−0.759797	+	0.438669i	−0.829223	−	0.558918i	$-0.811217\pi$
$631$	−19.0859	+	11.0192i	−0.759797	+	0.438669i	0.0694258	+	0.997587i	$0.477883\pi$
$632$	18.1758			0.722994
$633$	4.86103	−	2.80652i	0.193209	−	0.111549i
$634$	11.9820	−	20.7535i	0.475867	−	0.824227i
$635$	13.3584	+	24.3971i	0.530111	+	0.968168i
$636$	−45.3824			−1.79953
$637$	24.8060	+	3.14839i	0.982849	+	0.124744i
$638$		−	9.89178i		−	0.391619i
$639$	3.28689	+	1.89769i	0.130027	+	0.0750713i
$640$	70.9783	−	38.8634i	2.80566	−	1.53621i
$641$	22.1778	+	38.4131i	0.875970	+	1.51723i	0.855725	+	0.517430i	$0.173111\pi$
$641$	22.1778	+	38.4131i	0.875970	+	1.51723i	0.0202450	+	0.999795i	$0.493555\pi$
$642$	−4.43023			−0.174847
$643$	−23.6894	−	41.0312i	−0.934218	−	1.61811i	−0.776022	−	0.630706i	$-0.782765\pi$
$643$	−23.6894	−	41.0312i	−0.934218	−	1.61811i	−0.158197	−	0.987408i	$-0.550568\pi$
$644$	7.87684	−	4.54769i	0.310391	−	0.179204i
$645$	−22.3150	−	13.5664i	−0.878651	−	0.534176i
$646$	8.10542	+	14.0390i	0.318903	+	0.552357i
$647$	−22.5781	−	13.0355i	−0.887637	−	0.512478i	−0.0144683	−	0.999895i	$-0.504606\pi$
$647$	−22.5781	−	13.0355i	−0.887637	−	0.512478i	−0.873169	+	0.487418i	$0.837939\pi$
$648$	−4.69626	+	8.13416i	−0.184487	+	0.319540i
$649$	12.4600			0.489097
$650$	16.9597	+	46.1658i	0.665215	+	1.81077i
$651$	−11.8651			−0.465030
$652$	−43.3558	+	75.0945i	−1.69795	+	2.94093i
$653$	20.0320	+	11.5655i	0.783913	+	0.452592i	0.837815	−	0.545954i	$-0.183833\pi$
$653$	20.0320	+	11.5655i	0.783913	+	0.452592i	−0.0539022	+	0.998546i	$0.517166\pi$
$654$	−24.0182	−	41.6008i	−0.939188	−	1.62672i
$655$	10.6004	+	6.44453i	0.414192	+	0.251809i
$656$	12.7747	−	7.37547i	0.498768	−	0.287964i
$657$	0.0246999	+	0.0427816i	0.000963637	+	0.00166907i
$658$	−82.1401			−3.20215
$659$	−23.7412	−	41.1210i	−0.924828	−	1.60185i	−0.791838	−	0.610731i	$-0.790876\pi$
$659$	−23.7412	−	41.1210i	−0.924828	−	1.60185i	−0.132990	−	0.991117i	$-0.542458\pi$
$660$	24.9823	−	13.6788i	0.972434	−	0.532446i
$661$	−6.14537	−	3.54803i	−0.239027	−	0.138002i	0.375702	−	0.926740i	$-0.377401\pi$
$661$	−6.14537	−	3.54803i	−0.239027	−	0.138002i	−0.614729	+	0.788738i	$0.710735\pi$
$662$			42.8835i			1.66671i
$663$	3.70321	+	8.82396i	0.143821	+	0.342694i
$664$	71.6911			2.78216
$665$	−8.97502	−	16.3915i	−0.348036	−	0.635636i
$666$	2.17703	−	3.77072i	0.0843581	−	0.146113i
$667$	−0.600644	+	0.346782i	−0.0232570	+	0.0134274i
$668$	−138.419			−5.35560
$669$	−15.6595	+	9.04102i	−0.605431	+	0.349546i
$670$	1.39859	−	61.7471i	0.0540321	−	2.38550i
$671$		−	1.48753i		−	0.0574254i
$672$	−69.2610	+	39.9879i	−2.67180	+	1.54257i
$673$	20.3750	+	11.7635i	0.785398	+	0.453450i	0.838340	−	0.545148i	$-0.183527\pi$
$673$	20.3750	+	11.7635i	0.785398	+	0.453450i	−0.0529421	+	0.998598i	$0.516860\pi$
$674$	56.1920	+	32.4424i	2.16443	+	1.24964i
$675$	−4.43888	+	2.30138i	−0.170853	+	0.0885802i
$676$	68.5131	+	17.6762i	2.63512	+	0.679854i
$677$		−	39.9097i		−	1.53385i	−0.641735	−	0.766927i	$-0.721785\pi$
$677$		−	39.9097i		−	1.53385i	0.641735	−	0.766927i	$-0.278215\pi$
$678$	25.5647	−	44.2793i	0.981805	−	1.70054i
$679$	23.2988	−	40.3546i	0.894125	−	1.54867i
$680$	55.7282	+	1.26226i	2.13708	+	0.0484054i
$681$			8.47042i			0.324587i
$682$	−10.1465	−	17.5742i	−0.388529	−	0.672952i
$683$	17.6681	+	30.6020i	0.676051	+	1.17095i	0.976161	+	0.217050i	$0.0696434\pi$
$683$	17.6681	+	30.6020i	0.676051	+	1.17095i	−0.300110	+	0.953905i	$0.597023\pi$
$684$			12.1854i			0.465922i
$685$	0.686243	−	30.2974i	0.0262200	−	1.15760i
$686$	0.330302	−	0.572099i	0.0126110	−	0.0218429i
$687$	−11.8442	+	20.5147i	−0.451883	+	0.782684i
$688$			172.133i			6.56252i
$689$	−27.7209	+	11.6338i	−1.05608	+	0.443214i
$690$	−2.33345	−	1.41862i	−0.0888329	−	0.0540060i
$691$	8.44945	+	4.87829i	0.321432	+	0.185579i	0.652031	−	0.758192i	$-0.273917\pi$
$691$	8.44945	+	4.87829i	0.321432	+	0.185579i	−0.330599	+	0.943771i	$0.607251\pi$
$692$	−63.7841	−	36.8257i	−2.42471	−	1.39990i
$693$	−7.56568	+	4.36805i	−0.287396	+	0.165928i
$694$			80.1977i			3.04426i
$695$	−0.273854	+	12.0905i	−0.0103879	+	0.458621i
$696$	12.6025	−	7.27606i	0.477697	−	0.275799i
$697$	2.65633			0.100616
$698$	46.7979	−	27.0188i	1.77133	−	1.02268i
$699$	−2.37621	+	4.11572i	−0.0898765	+	0.155671i
$700$	−101.485	−	4.59970i	−3.83579	−	0.173852i
$701$	−26.4004			−0.997128			−0.498564	−	0.866853i	$-0.666139\pi$
$701$	−26.4004			−0.997128			−0.498564	+	0.866853i	$0.666139\pi$
$702$	−1.23852	+	9.75821i	−0.0467449	+	0.368300i
$703$		−	3.57308i		−	0.134761i
$704$	−58.7160	−	33.8997i	−2.21294	−	1.27764i
$705$	8.66151	+	15.8190i	0.326211	+	0.595776i
$706$	−2.00281	−	3.46897i	−0.0753767	−	0.130556i
$707$	−2.60528			−0.0979816
$708$	14.4894	+	25.0963i	0.544544	+	0.943177i
$709$	7.54818	−	4.35794i	0.283478	−	0.163666i	−0.351519	−	0.936181i	$-0.614335\pi$
$709$	7.54818	−	4.35794i	0.283478	−	0.163666i	0.634997	+	0.772515i	$0.281001\pi$
$710$	12.0276	−	19.7838i	0.451388	−	0.742474i
$711$	0.967567	+	1.67588i	0.0362866	+	0.0628502i
$712$	−42.8327	−	24.7295i	−1.60522	−	0.926777i
$713$	−0.711423	+	1.23222i	−0.0266430	+	0.0461470i
$714$	−27.0299			−1.01157
$715$	11.7534	−	14.7597i	0.439551	−	0.551980i
$716$	−64.0369			−2.39317
$717$	6.63992	−	11.5007i	0.247972	−	0.429501i
$718$	−84.8889	−	49.0106i	−3.16803	−	1.82906i
$719$	3.21941	+	5.57618i	0.120064	+	0.207956i	0.919793	−	0.392405i	$-0.128357\pi$
$719$	3.21941	+	5.57618i	0.120064	+	0.207956i	−0.799729	+	0.600361i	$0.795023\pi$
$720$	28.1607	+	17.1203i	1.04949	+	0.638037i
$721$	−12.6868	+	7.32473i	−0.472482	+	0.272787i
$722$	−19.0803	−	33.0481i	−0.710096	−	1.22992i
$723$	9.96033			0.370429
$724$	−36.1794	−	62.6645i	−1.34460	−	2.32891i
$725$	7.73871	+	0.350747i	0.287409	+	0.0130264i
$726$	13.0495	+	7.53413i	0.484312	+	0.279618i
$727$			14.6296i			0.542580i	0.962498	+	0.271290i	$0.0874502\pi$
$727$			14.6296i			0.542580i	−0.962498	+	0.271290i	$0.912550\pi$
$728$	−76.4909	+	100.651i	−2.83494	+	3.73039i
$729$	−1.00000			−0.0370370
$730$	0.264327	−	0.144729i	0.00978318	−	0.00535668i
$731$	−15.4988	+	26.8447i	−0.573244	+	0.992888i
$732$	2.99611	−	1.72981i	0.110739	−	0.0639355i
$733$	−3.51568			−0.129854			−0.0649272	−	0.997890i	$-0.520682\pi$
$733$	−3.51568			−0.129854			−0.0649272	+	0.997890i	$0.520682\pi$
$734$	−53.9370	+	31.1406i	−1.99085	+	1.14942i
$735$	15.5035	+	0.351157i	0.571854	+	0.0129526i
$736$			9.59058i			0.353514i
$737$	−20.5195	+	11.8469i	−0.755845	+	0.436387i
$738$	2.36463	+	1.36522i	0.0870431	+	0.0502543i
$739$	14.3874	+	8.30656i	0.529249	+	0.305562i	0.740710	−	0.671824i	$-0.234489\pi$
$739$	14.3874	+	8.30656i	0.529249	+	0.305562i	−0.211462	+	0.977386i	$0.567822\pi$
$740$	−16.5973	−	10.0903i	−0.610127	−	0.370927i
$741$	3.12375	+	7.44323i	0.114754	+	0.273434i
$742$		−	84.9157i		−	3.11735i
$743$	−7.04435	+	12.2012i	−0.258432	+	0.447618i	−0.965822	−	0.259206i	$-0.916539\pi$
$743$	−7.04435	+	12.2012i	−0.258432	+	0.447618i	0.707390	+	0.706824i	$0.249873\pi$
$744$	14.9268	−	25.8540i	0.547244	−	0.947855i
$745$	−32.7875	−	0.742645i	−1.20124	−	0.0272084i
$746$		−	56.1189i		−	2.05466i
$747$	3.81639	+	6.61019i	0.139635	+	0.241854i
$748$	−16.9034	−	29.2776i	−0.618050	−	1.07049i
$749$		−	6.06196i		−	0.221499i
$750$	13.4224	+	27.3896i	0.490117	+	1.00013i
$751$	3.79642	−	6.57560i	0.138533	−	0.239947i	−0.788408	−	0.615152i	$-0.789095\pi$
$751$	3.79642	−	6.57560i	0.138533	−	0.239947i	0.926942	+	0.375205i	$0.122428\pi$
$752$	59.4371	−	102.948i	2.16745	−	3.75413i
$753$		−	19.9067i		−	0.725439i
$754$	9.22114	−	12.1337i	0.335814	−	0.441885i
$755$	−14.3209	+	23.5561i	−0.521192	+	0.857294i
$756$	−17.5958	−	10.1590i	−0.639954	−	0.369478i
$757$	40.9906	+	23.6659i	1.48983	+	0.860152i	0.999932	−	0.0116295i	$-0.00370185\pi$
$757$	40.9906	+	23.6659i	1.48983	+	0.860152i	0.489895	+	0.871782i	$0.337035\pi$
$758$	−61.1290	+	35.2928i	−2.22030	+	1.28189i
$759$			1.04762i			0.0380262i
$760$	47.0082	+	1.06475i	1.70516	+	0.0386224i
$761$	9.59232	−	5.53813i	0.347721	−	0.200757i	−0.315960	−	0.948773i	$-0.602327\pi$
$761$	9.59232	−	5.53813i	0.347721	−	0.200757i	0.663681	+	0.748016i	$0.268993\pi$
$762$	33.9359			1.22937
$763$	56.9231	−	32.8646i	2.06076	−	1.18978i
$764$	−45.1842	+	78.2613i	−1.63471	+	2.83139i
$765$	2.85024	+	5.20555i	0.103051	+	0.188207i
$766$	−32.2203			−1.16417
$767$	15.2840	+	11.6152i	0.551874	+	0.419401i
$768$		−	40.7875i		−	1.47179i
$769$	36.9061	+	21.3078i	1.33087	+	0.768378i	0.985433	−	0.170065i	$-0.0543976\pi$
$769$	36.9061	+	21.3078i	1.33087	+	0.768378i	0.345436	+	0.938442i	$0.387731\pi$
$770$	25.5946	+	46.7447i	0.922365	+	1.68456i
$771$	−9.23510	−	15.9957i	−0.332594	−	0.576070i
$772$	−71.4856			−2.57282
$773$	−3.03622	−	5.25888i	−0.109205	−	0.189149i	0.806243	−	0.591584i	$-0.201497\pi$
$773$	−3.03622	−	5.25888i	−0.109205	−	0.189149i	−0.915448	+	0.402435i	$0.868164\pi$
$774$	−27.5936	+	15.9312i	−0.991830	+	0.572634i
$775$	14.1088	−	7.31482i	0.506802	−	0.262756i
$776$	58.6219	+	101.536i	2.10440	+	3.64493i
$777$	5.15955	+	2.97887i	0.185098	+	0.106866i
$778$	−5.88520	+	10.1935i	−0.210995	+	0.365454i
$779$	2.24068			0.0802808
$780$	43.3959	+	6.50947i	1.55382	+	0.233076i
$781$	−8.88211			−0.317827
$782$	−1.62069	+	2.80712i	−0.0579558	+	0.100382i
$783$	1.34176	+	0.774666i	0.0479506	+	0.0276843i
$784$	−51.1071	−	88.5201i	−1.82525	−	3.16143i
$785$	28.7903	−	47.3562i	1.02757	−	1.69022i
$786$	13.1079	−	7.56787i	0.467545	−	0.269937i
$787$	14.8576	+	25.7341i	0.529616	+	0.917323i	0.999403	+	0.0345427i	$0.0109975\pi$
$787$	14.8576	+	25.7341i	0.529616	+	0.917323i	−0.469787	+	0.882780i	$0.655669\pi$
$788$	−90.3428			−3.21833
$789$	5.02552	+	8.70446i	0.178913	+	0.309887i
$790$	10.3544	−	5.66947i	0.368394	−	0.201711i
$791$	60.5882	+	34.9806i	2.15427	+	1.24377i
$792$		−	21.9808i		−	0.781055i
$793$	1.38668	−	1.82468i	0.0492424	−	0.0647961i
$794$	45.2717			1.60663
$795$	−16.3535	+	8.95418i	−0.579998	+	0.317572i
$796$	−41.9097	+	72.5897i	−1.48545	+	2.57287i
$797$	−4.57027	+	2.63865i	−0.161887	+	0.0934656i	−0.578755	−	0.815502i	$-0.696461\pi$
$797$	−4.57027	+	2.63865i	−0.161887	+	0.0934656i	0.416868	+	0.908967i	$0.363128\pi$
$798$	−22.8003			−0.807123
$799$	18.5388	−	10.7034i	0.655855	−	0.378658i
$800$	57.7057	−	90.2489i	2.04020	−	3.19078i
$801$		−	5.26578i		−	0.186057i
$802$	2.88163	−	1.66371i	0.101754	−	0.0587476i
$803$	−0.100119	−	0.0578040i	−0.00353314	−	0.00203986i
$804$	−47.7231	−	27.5529i	−1.68306	−	0.971717i
$805$	1.94113	−	3.19290i	0.0684157	−	0.112535i
$806$	3.93657	−	31.0160i	0.138660	−	1.09249i
$807$		−	22.3938i		−	0.788300i
$808$	3.27756	−	5.67690i	0.115304	−	0.199713i
$809$	−3.85539	+	6.67773i	−0.135548	+	0.234777i	−0.925807	−	0.377997i	$-0.876613\pi$
$809$	−3.85539	+	6.67773i	−0.135548	+	0.234777i	0.790258	+	0.612774i	$0.209946\pi$
$810$	−0.138139	+	6.09877i	−0.00485370	+	0.214289i
$811$			19.8702i			0.697739i	0.937171	+	0.348869i	$0.113434\pi$
$811$			19.8702i			0.697739i	−0.937171	+	0.348869i	$0.886566\pi$
$812$	15.7396	+	27.2618i	0.552351	+	0.956701i
$813$	7.54088	+	13.0612i	0.264470	+	0.458076i
$814$			10.1896i			0.357144i
$815$	−0.806678	+	35.6146i	−0.0282567	+	1.24752i
$816$	19.5590	−	33.8771i	0.684701	−	1.18594i
$817$	−13.0736	+	22.6442i	−0.457388	+	0.792219i
$818$		−	69.4293i		−	2.42754i
$819$	−13.3523	−	1.69469i	−0.466568	−	0.0592171i
$820$	6.32765	−	10.4082i	0.220971	−	0.363469i
$821$	−9.92947	−	5.73278i	−0.346541	−	0.200076i	0.316620	−	0.948553i	$-0.397452\pi$
$821$	−9.92947	−	5.73278i	−0.346541	−	0.200076i	−0.663161	+	0.748477i	$0.730785\pi$
$822$	−32.0207	−	18.4872i	−1.11685	−	0.644814i
$823$	16.7495	−	9.67033i	0.583851	−	0.337087i	−0.178811	−	0.983883i	$-0.557225\pi$
$823$	16.7495	−	9.67033i	0.583851	−	0.337087i	0.762662	+	0.646797i	$0.223892\pi$
$824$		−	36.8594i		−	1.28406i
$825$	6.30344	−	9.85827i	0.219458	−	0.343221i
$826$	−46.9581	+	27.1113i	−1.63388	+	0.943322i
$827$	23.2829			0.809624			0.404812	−	0.914400i	$-0.367337\pi$
$827$	23.2829			0.809624			0.404812	+	0.914400i	$0.367337\pi$
$828$	−2.11007	+	1.21825i	−0.0733299	+	0.0423370i
$829$	−10.2008	+	17.6683i	−0.354289	+	0.613647i	−0.986996	−	0.160745i	$-0.948610\pi$
$829$	−10.2008	+	17.6683i	−0.354289	+	0.613647i	0.632707	+	0.774391i	$0.281944\pi$
$830$	40.8412	−	22.3622i	1.41762	−	0.776203i
$831$	12.7486			0.442244
$832$	−40.4225	−	96.3182i	−1.40140	−	3.33923i
$833$		−	18.4066i		−	0.637752i
$834$	12.7783	+	7.37753i	0.442475	+	0.255463i
$835$	−49.8792	+	27.3109i	−1.72614	+	0.945131i
$836$	−14.2585	−	24.6964i	−0.493139	−	0.854142i
$837$	3.17845			0.109863
$838$	43.8285	+	75.9132i	1.51403	+	2.62238i
$839$	0.271188	−	0.156570i	0.00936244	−	0.00540541i	−0.495311	−	0.868715i	$-0.664946\pi$
$839$	0.271188	−	0.156570i	0.00936244	−	0.00540541i	0.504674	+	0.863310i	$0.331613\pi$
$840$	−40.7281	+	66.9924i	−1.40525	+	2.31146i
$841$	13.2998	+	23.0359i	0.458613	+	0.794342i
$842$	27.4593	+	15.8536i	0.946309	+	0.546352i
$843$	1.24165	−	2.15061i	0.0427649	−	0.0740709i
$844$	−30.5507			−1.05160
$845$	28.1762	−	7.14841i	0.969292	−	0.245913i
$846$	22.0039			0.756510
$847$	−10.3091	+	17.8558i	−0.354224	+	0.613534i
$848$	106.427	+	61.4455i	3.65471	+	2.11005i
$849$	3.88513	+	6.72924i	0.133337	+	0.230947i
$850$	32.1412	−	16.6639i	1.10243	−	0.571567i
$851$	0.618726	−	0.357221i	0.0212096	−	0.0122454i
$852$	−10.3288	−	17.8899i	−0.353857	−	0.612899i
$853$	24.8887			0.852173			0.426087	−	0.904682i	$-0.359892\pi$
$853$	24.8887			0.852173			0.426087	+	0.904682i	$0.359892\pi$
$854$	3.23667	+	5.60607i	0.110756	+	0.191836i
$855$	2.40425	+	4.39101i	0.0822236	+	0.150169i
$856$	13.2090	+	7.62622i	0.451475	+	0.260659i
$857$			21.1571i			0.722714i	0.932428	+	0.361357i	$0.117686\pi$
$857$			21.1571i			0.722714i	−0.932428	+	0.361357i	$0.882314\pi$
$858$	−8.90819	−	21.2263i	−0.304121	−	0.724654i
$859$	22.8178			0.778535			0.389267	−	0.921125i	$-0.372728\pi$
$859$	22.8178			0.778535			0.389267	+	0.921125i	$0.372728\pi$
$860$	68.2645	+	124.675i	2.32780	+	4.25138i
$861$	−1.86805	+	3.23556i	−0.0636630	+	0.110268i
$862$	−49.7428	+	28.7190i	−1.69425	+	0.978174i
$863$	41.2937			1.40565			0.702826	−	0.711362i	$-0.251921\pi$
$863$	41.2937			1.40565			0.702826	+	0.711362i	$0.251921\pi$
$864$	18.5538	−	10.7121i	0.631214	−	0.364432i
$865$	−30.2504	−	0.685179i	−1.02855	−	0.0232968i
$866$		−	45.5651i		−	1.54836i
$867$	−8.62187	+	4.97784i	−0.292814	+	0.169056i
$868$	55.9275	+	32.2898i	1.89830	+	1.09599i
$869$	−3.92196	−	2.26435i	−0.133043	−	0.0768127i
$870$	4.90986	−	8.07607i	0.166460	−	0.273805i
$871$	−36.2139	−	4.59630i	−1.22706	−	0.155740i
$872$			165.381i			5.60050i
$873$	−6.24133	+	10.8103i	−0.211237	+	0.365873i
$874$	−1.36709	+	2.36787i	−0.0462426	+	0.0800945i
$875$	−37.4777	+	18.3661i	−1.26698	+	0.620888i
$876$		−	0.268874i		−	0.00908443i
$877$	−23.1812	−	40.1510i	−0.782773	−	1.35580i	−0.930320	−	0.366748i	$-0.880471\pi$
$877$	−23.1812	−	40.1510i	−0.782773	−	1.35580i	0.147547	−	0.989055i	$-0.452862\pi$
$878$	23.8134	+	41.2460i	0.803664	+	1.39199i
$879$			15.3948i			0.519254i
$880$	−77.1066	−	1.74648i	−2.59926	−	0.0588739i
$881$	15.4598	−	26.7772i	0.520855	−	0.902147i	−0.478851	−	0.877896i	$-0.658947\pi$
$881$	15.4598	−	26.7772i	0.520855	−	0.902147i	0.999706	−	0.0242508i	$-0.00772003\pi$
$882$	9.46005	−	16.3853i	0.318536	−	0.551721i
$883$			22.2922i			0.750193i	0.926986	+	0.375097i	$0.122390\pi$
$883$			22.2922i			0.750193i	−0.926986	+	0.375097i	$0.877610\pi$
$884$	6.55808	−	51.6707i	0.220572	−	1.73787i
$885$	10.1729	+	6.18460i	0.341957	+	0.207893i
$886$	−36.5113	−	21.0798i	−1.22662	−	0.708190i
$887$	−21.2844	−	12.2886i	−0.714662	−	0.412610i	0.0981229	−	0.995174i	$-0.468716\pi$
$887$	−21.2844	−	12.2886i	−0.714662	−	0.412610i	−0.812785	+	0.582564i	$0.802049\pi$
$888$	−12.9819	+	7.49510i	−0.435644	+	0.251519i
$889$			46.4351i			1.55738i
$890$	−32.1148	−	0.727408i	−1.07649	−	0.0243828i
$891$	2.02671	−	1.17012i	0.0678974	−	0.0392006i
$892$	98.4172			3.29525
$893$	15.6379	−	9.02856i	0.523303	−	0.302129i
$894$	−20.0066	+	34.6525i	−0.669121	+	1.15895i
$895$	−23.0756	+	12.6348i	−0.771333	+	0.422335i
$896$	135.093			4.51315
$897$	−0.976594	+	1.28506i	−0.0326075	+	0.0429070i
$898$		−	48.9605i		−	1.63383i
$899$	−4.26472	−	2.46224i	−0.142236	−	0.0821202i
$900$	27.1862	+	1.23218i	0.906206	+	0.0410726i
$901$	11.0650	+	19.1652i	0.368630	+	0.638486i
$902$	−6.38989			−0.212760
$903$	−21.7989	−	37.7568i	−0.725421	−	1.25647i
$904$	−152.445	+	88.0144i	−5.07026	+	2.92732i
$905$	−25.4013	−	15.4427i	−0.844366	−	0.513333i
$906$	16.8172	+	29.1283i	0.558715	+	0.967722i
$907$	6.54797	+	3.78047i	0.217422	+	0.125529i	0.604756	−	0.796411i	$-0.293271\pi$
$907$	6.54797	+	3.78047i	0.217422	+	0.125529i	−0.387334	+	0.921939i	$0.626604\pi$
$908$	23.0515	−	39.9263i	0.764990	−	1.32500i
$909$	0.697909			0.0231482
$910$	−12.1800	+	81.1987i	−0.403762	+	2.69171i
$911$	−30.4986			−1.01046			−0.505232	−	0.862984i	$-0.668593\pi$
$911$	−30.4986			−1.01046			−0.505232	+	0.862984i	$0.668593\pi$
$912$	16.4985	−	28.5762i	0.546319	−	0.946252i
$913$	−15.4695	−	8.93130i	−0.511965	−	0.295583i
$914$	31.5702	+	54.6812i	1.04425	+	1.80869i
$915$	0.738346	−	1.21448i	0.0244090	−	0.0401496i
$916$	111.658	−	64.4656i	3.68927	−	2.13000i
$917$	10.3553	+	17.9358i	0.341961	+	0.592293i
$918$	7.24083			0.238983
$919$	6.09823	+	10.5624i	0.201162	+	0.348423i	0.948903	−	0.315568i	$-0.102195\pi$
$919$	6.09823	+	10.5624i	0.201162	+	0.348423i	−0.747741	+	0.663990i	$0.768862\pi$
$920$	4.51530	+	8.24653i	0.148865	+	0.271880i
$921$	−22.5622	−	13.0263i	−0.743451	−	0.429232i
$922$		−	37.9657i		−	1.25033i
$923$	−10.8952	−	8.27992i	−0.358621	−	0.272537i
$924$	47.5489			1.56425
$925$	−7.97168	−	0.361306i	−0.262107	−	0.0118797i
$926$	10.1786	−	17.6298i	0.334488	−	0.579351i
$927$	3.39858	−	1.96217i	0.111624	−	0.0644461i
$928$	−33.1930			−1.08962
$929$	−43.7395	+	25.2530i	−1.43505	+	0.828524i	−0.997500	−	0.0706712i	$-0.977486\pi$
$929$	−43.7395	+	25.2530i	−1.43505	+	0.828524i	−0.437547	+	0.899196i	$0.644153\pi$
$930$	0.439067	−	19.3846i	0.0143976	−	0.635647i
$931$		−	15.5264i		−	0.508859i
$932$	22.4011	−	12.9333i	0.733772	−	0.423643i
$933$	−9.18268	−	5.30162i	−0.300627	−	0.173567i
$934$	−15.3712	−	8.87454i	−0.502960	−	0.290384i
$935$	−11.8678	−	7.21501i	−0.388117	−	0.235956i
$936$	20.4906	−	26.9627i	0.669756	−	0.881305i
$937$			9.97732i			0.325945i	0.986631	+	0.162972i	$0.0521082\pi$
$937$			9.97732i			0.325945i	−0.986631	+	0.162972i	$0.947892\pi$
$938$	51.5547	−	89.2954i	1.68332	−	2.91560i
$939$	−0.930138	+	1.61105i	−0.0303539	+	0.0525745i
$940$	2.22280	−	98.1360i	0.0724999	−	3.20084i
$941$		−	51.3470i		−	1.67387i	−0.547305	−	0.836933i	$-0.684346\pi$
$941$		−	51.3470i		−	1.67387i	0.547305	−	0.836933i	$-0.315654\pi$
$942$	−33.8087	−	58.5584i	−1.10155	−	1.90793i
$943$	0.224014	+	0.388004i	0.00729490	+	0.0126351i
$944$		−	78.4715i		−	2.55403i
$945$	−8.34505	−	0.189018i	−0.271465	−	0.00614874i
$946$	37.2828	−	64.5758i	1.21217	−	2.09954i
$947$	25.2810	−	43.7880i	0.821522	−	1.42292i	−0.0830260	−	0.996547i	$-0.526458\pi$
$947$	25.2810	−	43.7880i	0.821522	−	1.42292i	0.904548	−	0.426371i	$-0.140208\pi$
$948$		−	10.5326i		−	0.342082i
$949$	−0.0689263	−	0.164237i	−0.00223744	−	0.00533135i
$950$	27.1119	−	14.0564i	0.879625	−	0.456050i
$951$	−7.60716	−	4.39200i	−0.246679	−	0.142420i
$952$	80.5913	+	46.5294i	2.61198	+	1.50803i
$953$	30.8855	−	17.8318i	1.00048	−	0.577627i	0.0920897	−	0.995751i	$-0.470645\pi$
$953$	30.8855	−	17.8318i	1.00048	−	0.577627i	0.908390	+	0.418123i	$0.137312\pi$
$954$			22.7474i			0.736475i
$955$	−0.840697	+	37.1165i	−0.0272043	+	1.20106i
$956$	−62.5961	+	36.1399i	−2.02450	+	1.16885i
$957$	−3.62582			−0.117206
$958$	6.98596	−	4.03334i	0.225706	−	0.130311i
$959$	25.2963	−	43.8145i	0.816861	−	1.41484i
$960$	−31.1119	−	56.8212i	−1.00413	−	1.83390i
$961$	20.8974			0.674111
$962$	−9.49874	+	12.4990i	−0.306252	+	0.402984i
$963$			1.62389i			0.0523292i
$964$	−46.9492	−	27.1061i	−1.51213	−	0.873029i
$965$	−25.7598	+	14.1045i	−0.829236	+	0.454040i
$966$	−2.27948	−	3.94818i	−0.0733412	−	0.127031i
$967$	−7.79539			−0.250683			−0.125341	−	0.992114i	$-0.540003\pi$
$967$	−7.79539			−0.250683			−0.125341	+	0.992114i	$0.540003\pi$
$968$	−25.9386	−	44.9270i	−0.833698	−	1.44401i
$969$	5.14597	−	2.97103i	0.165312	−	0.0954432i
$970$	65.0674	+	39.5578i	2.08919	+	1.27012i
$971$	5.58454	+	9.67270i	0.179216	+	0.310412i	0.941612	−	0.336699i	$-0.109310\pi$
$971$	5.58454	+	9.67270i	0.179216	+	0.310412i	−0.762396	+	0.647111i	$0.775977\pi$
$972$	4.71362	+	2.72141i	0.151189	+	0.0872892i
$973$	−10.0948	+	17.4847i	−0.323625	+	0.560534i
$974$	41.5672			1.33190
$975$	16.9220	−	6.21656i	0.541938	−	0.199089i
$976$	−9.36829			−0.299872
$977$	−17.4149	+	30.1634i	−0.557151	+	0.965014i	0.440582	+	0.897712i	$0.354772\pi$
$977$	−17.4149	+	30.1634i	−0.557151	+	0.965014i	−0.997733	+	0.0673013i	$0.978561\pi$
$978$	37.6403	+	21.7316i	1.20360	+	0.694901i
$979$	6.16161	+	10.6722i	0.196926	+	0.341086i
$980$	−72.1217	−	43.8464i	−2.30384	−	1.40062i
$981$	−15.2487	+	8.80385i	−0.486854	+	0.281085i
$982$	22.9939	+	39.8266i	0.733765	+	1.27092i
$983$	20.6364			0.658199			0.329099	−	0.944295i	$-0.393255\pi$
$983$	20.6364			0.658199			0.329099	+	0.944295i	$0.393255\pi$
$984$	−4.70019	−	8.14097i	−0.149837	−	0.259525i
$985$	−32.5549	+	17.8251i	−1.03729	+	0.567955i
$986$	−9.71545	−	5.60922i	−0.309403	−	0.178634i
$987$			30.1083i			0.958359i
$988$	5.53190	−	43.5855i	0.175993	−	1.38664i
$989$	−5.22818			−0.166247
$990$	−6.85635	−	12.5221i	−0.217909	−	0.397978i
$991$	−20.5680	+	35.6249i	−0.653365	+	1.13166i	0.328936	+	0.944352i	$0.393310\pi$
$991$	−20.5680	+	35.6249i	−0.653365	+	1.13166i	−0.982301	+	0.187310i	$0.940023\pi$
$992$	−58.9724	+	34.0477i	−1.87238	+	1.08102i
$993$	15.7189			0.498824
$994$	33.4741	−	19.3263i	1.06173	−	0.612993i
$995$	−0.779771	+	34.4266i	−0.0247204	+	1.09140i
$996$		−	41.5439i		−	1.31637i
$997$	44.2553	−	25.5508i	1.40158	−	0.809202i	0.407024	−	0.913418i	$-0.366567\pi$
$997$	44.2553	−	25.5508i	1.40158	−	0.809202i	0.994555	+	0.104216i	$0.0332333\pi$
$998$	−12.6527	−	7.30507i	−0.400516	−	0.231238i
$999$	−1.38215	−	0.797986i	−0.0437294	−	0.0252472i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	195.2.v.a.4.1	✓	32
3.2	odd	2		585.2.bf.c.199.16		32
5.2	odd	4		975.2.bc.n.901.1		16
5.3	odd	4		975.2.bc.m.901.8		16
5.4	even	2	inner	195.2.v.a.4.16	yes	32
13.10	even	6	inner	195.2.v.a.49.16	yes	32
15.14	odd	2		585.2.bf.c.199.1		32
39.23	odd	6		585.2.bf.c.244.1		32
65.23	odd	12		975.2.bc.m.751.8		16
65.49	even	6	inner	195.2.v.a.49.1	yes	32
65.62	odd	12		975.2.bc.n.751.1		16
195.179	odd	6		585.2.bf.c.244.16		32

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
195.2.v.a.4.1	✓	32	1.1	even	1	trivial
195.2.v.a.4.16	yes	32	5.4	even	2	inner
195.2.v.a.49.1	yes	32	65.49	even	6	inner
195.2.v.a.49.16	yes	32	13.10	even	6	inner
585.2.bf.c.199.1		32	15.14	odd	2
585.2.bf.c.199.16		32	3.2	odd	2
585.2.bf.c.244.1		32	39.23	odd	6
585.2.bf.c.244.16		32	195.179	odd	6
975.2.bc.m.751.8		16	65.23	odd	12
975.2.bc.m.901.8		16	5.3	odd	4
975.2.bc.n.751.1		16	65.62	odd	12
975.2.bc.n.901.1		16	5.2	odd	4

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:	\( N \)	\(=\)	\( 195 = 3 \cdot 5 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	195.v (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.36408 + 2.36265i) q^{2} +(0.866025 + 0.500000i) q^{3} +(-2.72141 - 4.71362i) q^{4} +(-1.91068 - 1.16160i) q^{5} +(-2.36265 + 1.36408i) q^{6} +(-1.86649 - 3.23285i) q^{7} +9.39252 q^{8} +(0.500000 + 0.866025i) q^{9} +O(q^{10})\)	\(q+(-1.36408 + 2.36265i) q^{2} +(0.866025 + 0.500000i) q^{3} +(-2.72141 - 4.71362i) q^{4} +(-1.91068 - 1.16160i) q^{5} +(-2.36265 + 1.36408i) q^{6} +(-1.86649 - 3.23285i) q^{7} +9.39252 q^{8} +(0.500000 + 0.866025i) q^{9} +(5.35076 - 2.92975i) q^{10} +(-2.02671 - 1.17012i) q^{11} -5.44282i q^{12} +(-1.39527 - 3.32464i) q^{13} +10.1841 q^{14} +(-1.07390 - 1.96131i) q^{15} +(-7.36930 + 12.7640i) q^{16} +(-2.29853 + 1.32706i) q^{17} -2.72815 q^{18} +(-1.93887 + 1.11941i) q^{19} +(-0.275594 + 12.1674i) q^{20} -3.73298i q^{21} +(5.52918 - 3.19227i) q^{22} +(-0.387679 - 0.223827i) q^{23} +(8.13416 + 4.69626i) q^{24} +(2.30138 + 4.43888i) q^{25} +(9.75821 + 1.23852i) q^{26} +1.00000i q^{27} +(-10.1590 + 17.5958i) q^{28} +(0.774666 - 1.34176i) q^{29} +(6.09877 + 0.138139i) q^{30} -3.17845i q^{31} +(-10.7121 - 18.5538i) q^{32} +(-1.17012 - 2.02671i) q^{33} -7.24083i q^{34} +(-0.189018 + 8.34505i) q^{35} +(2.72141 - 4.71362i) q^{36} +(-0.797986 + 1.38215i) q^{37} -6.10781i q^{38} +(0.453977 - 3.57686i) q^{39} +(-17.9461 - 10.9103i) q^{40} +(-0.866750 - 0.500418i) q^{41} +(8.81972 + 5.09207i) q^{42} +(10.1144 - 5.83954i) q^{43} +12.7375i q^{44} +(0.0506345 - 2.23549i) q^{45} +(1.05765 - 0.610634i) q^{46} -8.06550 q^{47} +(-12.7640 + 7.36930i) q^{48} +(-3.46757 + 6.00600i) q^{49} +(-13.6268 - 0.617616i) q^{50} -2.65411 q^{51} +(-11.8740 + 15.6245i) q^{52} -8.33803i q^{53} +(-2.36265 - 1.36408i) q^{54} +(2.51318 + 4.58996i) q^{55} +(-17.5310 - 30.3647i) q^{56} -2.23881 q^{57} +(2.11341 + 3.66053i) q^{58} +(-4.61091 + 2.66211i) q^{59} +(-6.32236 + 10.3995i) q^{60} +(0.317815 + 0.550471i) q^{61} +(7.50957 + 4.33565i) q^{62} +(1.86649 - 3.23285i) q^{63} +28.9710 q^{64} +(-1.19598 + 7.97306i) q^{65} +6.38455 q^{66} +(5.06226 - 8.76809i) q^{67} +(12.5105 + 7.22292i) q^{68} +(-0.223827 - 0.387679i) q^{69} +(-19.4586 - 11.8299i) q^{70} +(3.28689 - 1.89769i) q^{71} +(4.69626 + 8.13416i) q^{72} +0.0493999 q^{73} +(-2.17703 - 3.77072i) q^{74} +(-0.226386 + 4.99487i) q^{75} +(10.5529 + 6.09271i) q^{76} +8.73609i q^{77} +(7.83160 + 5.95169i) q^{78} +1.93513 q^{79} +(28.9070 - 15.8277i) q^{80} +(-0.500000 + 0.866025i) q^{81} +(2.36463 - 1.36522i) q^{82} +7.63279 q^{83} +(-17.5958 + 10.1590i) q^{84} +(5.93326 + 0.134390i) q^{85} +31.8623i q^{86} +(1.34176 - 0.774666i) q^{87} +(-19.0360 - 10.9904i) q^{88} +(-4.56030 - 2.63289i) q^{89} +(5.21262 + 3.16902i) q^{90} +(-8.14381 + 10.7161i) q^{91} +2.43650i q^{92} +(1.58923 - 2.75262i) q^{93} +(11.0020 - 19.0559i) q^{94} +(5.00485 + 0.113361i) q^{95} -21.4241i q^{96} +(6.24133 + 10.8103i) q^{97} +(-9.46005 - 16.3853i) q^{98} -2.34025i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 32 q - 20 q^{4} + 16 q^{9}+O(q^{10}) \) 32 * q - 20 * q^4 + 16 * q^9	\( 32 q - 20 q^{4} + 16 q^{9} + 2 q^{10} - 12 q^{11} + 8 q^{14} - 6 q^{15} - 28 q^{16} - 30 q^{20} - 4 q^{25} + 52 q^{26} - 24 q^{29} + 4 q^{30} - 2 q^{35} + 20 q^{36} + 4 q^{40} - 36 q^{41} + 12 q^{45} - 48 q^{46} - 28 q^{49} + 54 q^{50} - 40 q^{51} + 24 q^{55} - 56 q^{56} + 84 q^{59} - 32 q^{61} + 136 q^{64} + 20 q^{65} + 8 q^{66} - 24 q^{69} + 12 q^{71} + 40 q^{74} - 16 q^{75} + 48 q^{76} - 104 q^{79} + 66 q^{80} - 16 q^{81} - 48 q^{84} - 54 q^{85} - 48 q^{89} + 4 q^{90} + 12 q^{91} - 8 q^{94} + 12 q^{95}+O(q^{100}) \) 32 * q - 20 * q^4 + 16 * q^9 + 2 * q^10 - 12 * q^11 + 8 * q^14 - 6 * q^15 - 28 * q^16 - 30 * q^20 - 4 * q^25 + 52 * q^26 - 24 * q^29 + 4 * q^30 - 2 * q^35 + 20 * q^36 + 4 * q^40 - 36 * q^41 + 12 * q^45 - 48 * q^46 - 28 * q^49 + 54 * q^50 - 40 * q^51 + 24 * q^55 - 56 * q^56 + 84 * q^59 - 32 * q^61 + 136 * q^64 + 20 * q^65 + 8 * q^66 - 24 * q^69 + 12 * q^71 + 40 * q^74 - 16 * q^75 + 48 * q^76 - 104 * q^79 + 66 * q^80 - 16 * q^81 - 48 * q^84 - 54 * q^85 - 48 * q^89 + 4 * q^90 + 12 * q^91 - 8 * q^94 + 12 * q^95

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