LMFDB - Embedded newform 555.2.bc.d.181.5

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [555,2,Mod(16,555)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(555, base_ring=CyclotomicField(18))

chi = DirichletCharacter(H, H._module([0, 0, 2]))

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

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

chi := DirichletCharacter("555.16");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 555 = 3 \cdot 5 \cdot 37 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	555.bc (of order $9$, degree $6$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

gp: f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$4.43169731218$
Analytic rank:	$0$
Dimension:	$36$
Relative dimension:	$6$ over $\Q(\zeta_{9})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label			181.5
Character	$\chi$	$=$	555.181
Dual form			555.2.bc.d.46.5

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.374910 - 2.12622i) q^{2} +(0.173648 + 0.984808i) q^{3} +(-2.50087 - 0.910242i) q^{4} +(-0.766044 + 0.642788i) q^{5} +2.15902 q^{6} +(-3.21334 + 2.69631i) q^{7} +(-0.713956 + 1.23661i) q^{8} +(-0.939693 + 0.342020i) q^{9} +O(q^{10})$	\(q+(0.374910 - 2.12622i) q^{2} +(0.173648 + 0.984808i) q^{3} +(-2.50087 - 0.910242i) q^{4} +(-0.766044 + 0.642788i) q^{5} +2.15902 q^{6} +(-3.21334 + 2.69631i) q^{7} +(-0.713956 + 1.23661i) q^{8} +(-0.939693 + 0.342020i) q^{9} +(1.07951 + 1.86977i) q^{10} +(0.363171 - 0.629030i) q^{11} +(0.462142 - 2.62094i) q^{12} +(-4.15024 - 1.51057i) q^{13} +(4.52824 + 7.84314i) q^{14} +(-0.766044 - 0.642788i) q^{15} +(-1.71582 - 1.43975i) q^{16} +(-5.79482 + 2.10914i) q^{17} +(0.374910 + 2.12622i) q^{18} +(1.09137 + 6.18945i) q^{19} +(2.50087 - 0.910242i) q^{20} +(-3.21334 - 2.69631i) q^{21} +(-1.20130 - 1.00801i) q^{22} +(4.24764 + 7.35713i) q^{23} +(-1.34180 - 0.488375i) q^{24} +(0.173648 - 0.984808i) q^{25} +(-4.76776 + 8.25801i) q^{26} +(-0.500000 - 0.866025i) q^{27} +(10.4904 - 3.81821i) q^{28} +(1.48036 - 2.56405i) q^{29} +(-1.65391 + 1.38779i) q^{30} -1.38068 q^{31} +(-5.89219 + 4.94413i) q^{32} +(0.682538 + 0.248424i) q^{33} +(2.31197 + 13.1118i) q^{34} +(0.728404 - 4.13099i) q^{35} +2.66137 q^{36} +(-1.87971 - 5.78504i) q^{37} +13.5693 q^{38} +(0.766934 - 4.34950i) q^{39} +(-0.247954 - 1.40622i) q^{40} +(-1.17973 - 0.429385i) q^{41} +(-6.93766 + 5.82139i) q^{42} -1.80429 q^{43} +(-1.48081 + 1.24255i) q^{44} +(0.500000 - 0.866025i) q^{45} +(17.2354 - 6.27316i) q^{46} +(-0.0448451 - 0.0776740i) q^{47} +(1.11992 - 1.93977i) q^{48} +(1.83991 - 10.4347i) q^{49} +(-2.02882 - 0.738429i) q^{50} +(-3.08336 - 5.34054i) q^{51} +(9.00424 + 7.55546i) q^{52} +(8.39887 + 7.04749i) q^{53} +(-2.02882 + 0.738429i) q^{54} +(0.126128 + 0.715307i) q^{55} +(-1.04010 - 5.89869i) q^{56} +(-5.90591 + 2.14957i) q^{57} +(-4.89674 - 4.10886i) q^{58} +(-9.08079 - 7.61969i) q^{59} +(1.33069 + 2.30481i) q^{60} +(-4.32492 - 1.57414i) q^{61} +(-0.517631 + 2.93563i) q^{62} +(2.09736 - 3.63273i) q^{63} +(6.06343 + 10.5022i) q^{64} +(4.15024 - 1.51057i) q^{65} +(0.784094 - 1.35809i) q^{66} +(3.29594 - 2.76562i) q^{67} +16.4119 q^{68} +(-6.50777 + 5.46066i) q^{69} +(-8.51030 - 3.09750i) q^{70} +(0.00767563 + 0.0435307i) q^{71} +(0.247954 - 1.40622i) q^{72} -7.75604 q^{73} +(-13.0050 + 1.82780i) q^{74} +1.00000 q^{75} +(2.90453 - 16.4724i) q^{76} +(0.529071 + 3.00051i) q^{77} +(-8.96046 - 3.26134i) q^{78} +(11.2162 - 9.41154i) q^{79} +2.23985 q^{80} +(0.766044 - 0.642788i) q^{81} +(-1.35526 + 2.34738i) q^{82} +(-10.7266 + 3.90418i) q^{83} +(5.58184 + 9.66804i) q^{84} +(3.08336 - 5.34054i) q^{85} +(-0.676447 + 3.83632i) q^{86} +(2.78216 + 1.01262i) q^{87} +(0.518576 + 0.898201i) q^{88} +(12.7596 + 10.7066i) q^{89} +(-1.65391 - 1.38779i) q^{90} +(17.4091 - 6.33639i) q^{91} +(-3.92603 - 22.2656i) q^{92} +(-0.239753 - 1.35971i) q^{93} +(-0.181965 + 0.0662298i) q^{94} +(-4.81454 - 4.03988i) q^{95} +(-5.89219 - 4.94413i) q^{96} +(-1.10774 - 1.91866i) q^{97} +(-21.4966 - 7.82411i) q^{98} +(-0.126128 + 0.715307i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 36 q + 3 q^{2} + 3 q^{4} + 12 q^{6} - 21 q^{8}+O(q^{10}) $ 36 * q + 3 * q^2 + 3 * q^4 + 12 * q^6 - 21 * q^8	\( 36 q + 3 q^{2} + 3 q^{4} + 12 q^{6} - 21 q^{8} + 6 q^{10} + 9 q^{11} - 6 q^{12} - 15 q^{13} - 6 q^{14} - 3 q^{16} + 9 q^{17} + 3 q^{18} + 9 q^{19} - 3 q^{20} - 30 q^{22} - 9 q^{23} - 3 q^{24} - 36 q^{26} - 18 q^{27} - 48 q^{28} - 36 q^{29} + 6 q^{30} + 36 q^{31} - 30 q^{32} - 3 q^{33} + 60 q^{34} - 9 q^{35} + 36 q^{36} - 15 q^{37} + 12 q^{38} + 12 q^{39} + 3 q^{40} + 3 q^{41} - 18 q^{42} - 30 q^{43} - 90 q^{44} + 18 q^{45} - 3 q^{46} - 12 q^{47} - 18 q^{48} - 18 q^{49} + 3 q^{50} - 27 q^{51} + 75 q^{52} + 18 q^{53} + 3 q^{54} - 6 q^{55} + 126 q^{56} - 9 q^{57} - 36 q^{58} - 12 q^{59} + 18 q^{60} + 30 q^{61} + 12 q^{62} + 9 q^{63} - 3 q^{64} + 15 q^{65} + 15 q^{67} + 60 q^{68} + 12 q^{69} - 9 q^{70} - 30 q^{71} - 3 q^{72} - 42 q^{73} - 123 q^{74} + 36 q^{75} + 72 q^{76} + 27 q^{77} + 39 q^{78} + 45 q^{79} - 36 q^{80} - 15 q^{82} - 21 q^{83} + 21 q^{84} + 27 q^{85} + 9 q^{86} + 3 q^{87} + 21 q^{88} + 72 q^{89} + 6 q^{90} + 72 q^{91} - 45 q^{92} + 6 q^{93} - 18 q^{94} - 30 q^{96} - 45 q^{97} + 6 q^{98} + 6 q^{99}+O(q^{100}) \) 36 * q + 3 * q^2 + 3 * q^4 + 12 * q^6 - 21 * q^8 + 6 * q^10 + 9 * q^11 - 6 * q^12 - 15 * q^13 - 6 * q^14 - 3 * q^16 + 9 * q^17 + 3 * q^18 + 9 * q^19 - 3 * q^20 - 30 * q^22 - 9 * q^23 - 3 * q^24 - 36 * q^26 - 18 * q^27 - 48 * q^28 - 36 * q^29 + 6 * q^30 + 36 * q^31 - 30 * q^32 - 3 * q^33 + 60 * q^34 - 9 * q^35 + 36 * q^36 - 15 * q^37 + 12 * q^38 + 12 * q^39 + 3 * q^40 + 3 * q^41 - 18 * q^42 - 30 * q^43 - 90 * q^44 + 18 * q^45 - 3 * q^46 - 12 * q^47 - 18 * q^48 - 18 * q^49 + 3 * q^50 - 27 * q^51 + 75 * q^52 + 18 * q^53 + 3 * q^54 - 6 * q^55 + 126 * q^56 - 9 * q^57 - 36 * q^58 - 12 * q^59 + 18 * q^60 + 30 * q^61 + 12 * q^62 + 9 * q^63 - 3 * q^64 + 15 * q^65 + 15 * q^67 + 60 * q^68 + 12 * q^69 - 9 * q^70 - 30 * q^71 - 3 * q^72 - 42 * q^73 - 123 * q^74 + 36 * q^75 + 72 * q^76 + 27 * q^77 + 39 * q^78 + 45 * q^79 - 36 * q^80 - 15 * q^82 - 21 * q^83 + 21 * q^84 + 27 * q^85 + 9 * q^86 + 3 * q^87 + 21 * q^88 + 72 * q^89 + 6 * q^90 + 72 * q^91 - 45 * q^92 + 6 * q^93 - 18 * q^94 - 30 * q^96 - 45 * q^97 + 6 * q^98 + 6 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/555\mathbb{Z}\right)^\times$.

$n$	$76$	$112$	$371$
$\chi(n)$	$e\left(\frac{5}{9}\right)$	$1$	$1$

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 $

$2$	0.374910	−	2.12622i	0.265101	−	1.50346i	−0.503645	−	0.863911i	$-0.668008\pi$
$2$	0.374910	−	2.12622i	0.265101	−	1.50346i	0.768746	−	0.639554i	$-0.220881\pi$
$3$	0.173648	+	0.984808i	0.100256	+	0.568579i
$3$	0.173648	+	0.984808i	0.100256	+	0.568579i
$4$	−2.50087	−	0.910242i	−1.25044	−	0.455121i
$5$	−0.766044	+	0.642788i	−0.342585	+	0.287463i
$5$	−0.766044	+	0.642788i	−0.342585	+	0.287463i
$6$	2.15902			0.881417
$7$	−3.21334	+	2.69631i	−1.21453	+	1.01911i	−0.215435	+	0.976518i	$0.569117\pi$
$7$	−3.21334	+	2.69631i	−1.21453	+	1.01911i	−0.999093	+	0.0425911i	$0.986439\pi$
$8$	−0.713956	+	1.23661i	−0.252422	+	0.437207i
$9$	−0.939693	+	0.342020i	−0.313231	+	0.114007i
$10$	1.07951	+	1.86977i	0.341371	+	0.591272i
$11$	0.363171	−	0.629030i	0.109500	−	0.189660i	−0.806068	−	0.591823i	$-0.798408\pi$
$11$	0.363171	−	0.629030i	0.109500	−	0.189660i	0.915568	+	0.402163i	$0.131742\pi$
$12$	0.462142	−	2.62094i	0.133409	−	0.756600i
$13$	−4.15024	−	1.51057i	−1.15107	−	0.418955i	−0.305171	−	0.952298i	$-0.598714\pi$
$13$	−4.15024	−	1.51057i	−1.15107	−	0.418955i	−0.845900	+	0.533342i	$0.820936\pi$
$14$	4.52824	+	7.84314i	1.21022	+	2.09617i
$15$	−0.766044	−	0.642788i	−0.197792	−	0.165967i
$16$	−1.71582	−	1.43975i	−0.428956	−	0.359937i
$17$	−5.79482	+	2.10914i	−1.40545	+	0.511542i	−0.929791	−	0.368087i	$-0.880013\pi$
$17$	−5.79482	+	2.10914i	−1.40545	+	0.511542i	−0.475660	+	0.879629i	$0.657791\pi$
$18$	0.374910	+	2.12622i	0.0883671	+	0.501155i
$19$	1.09137	+	6.18945i	0.250377	+	1.41996i	0.807667	+	0.589640i	$0.200730\pi$
$19$	1.09137	+	6.18945i	0.250377	+	1.41996i	−0.557290	+	0.830318i	$0.688159\pi$
$20$	2.50087	−	0.910242i	0.559212	−	0.203536i
$21$	−3.21334	−	2.69631i	−0.701208	−	0.588383i
$22$	−1.20130	−	1.00801i	−0.256118	−	0.214909i
$23$	4.24764	+	7.35713i	0.885695	+	1.53407i	0.844915	+	0.534900i	$0.179651\pi$
$23$	4.24764	+	7.35713i	0.885695	+	1.53407i	0.0407795	+	0.999168i	$0.487016\pi$
$24$	−1.34180	−	0.488375i	−0.273894	−	0.0996891i
$25$	0.173648	−	0.984808i	0.0347296	−	0.196962i
$26$	−4.76776	+	8.25801i	−0.935035	+	1.61953i
$27$	−0.500000	−	0.866025i	−0.0962250	−	0.166667i
$28$	10.4904	−	3.81821i	1.98251	−	0.721573i
$29$	1.48036	−	2.56405i	0.274895	−	0.476133i	−0.695213	−	0.718804i	$-0.744690\pi$
$29$	1.48036	−	2.56405i	0.274895	−	0.476133i	0.970109	+	0.242671i	$0.0780234\pi$
$30$	−1.65391	+	1.38779i	−0.301961	+	0.253375i
$31$	−1.38068			−0.247978			−0.123989	−	0.992284i	$-0.539569\pi$
$31$	−1.38068			−0.247978			−0.123989	+	0.992284i	$0.539569\pi$
$32$	−5.89219	+	4.94413i	−1.04160	+	0.874007i
$33$	0.682538	+	0.248424i	0.118815	+	0.0432450i
$34$	2.31197	+	13.1118i	0.396499	+	2.24866i
$35$	0.728404	−	4.13099i	0.123123	−	0.698264i
$36$	2.66137			0.443562
$37$	−1.87971	−	5.78504i	−0.309022	−	0.951055i
$37$	−1.87971	−	5.78504i	−0.309022	−	0.951055i
$38$	13.5693			2.20123
$39$	0.766934	−	4.34950i	0.122808	−	0.696477i
$40$	−0.247954	−	1.40622i	−0.0392050	−	0.222343i
$41$	−1.17973	−	0.429385i	−0.184242	−	0.0670587i	0.248252	−	0.968696i	$-0.420144\pi$
$41$	−1.17973	−	0.429385i	−0.184242	−	0.0670587i	−0.432494	+	0.901637i	$0.642366\pi$
$42$	−6.93766	+	5.82139i	−1.07050	+	0.898260i
$43$	−1.80429			−0.275152			−0.137576	−	0.990491i	$-0.543931\pi$
$43$	−1.80429			−0.275152			−0.137576	+	0.990491i	$0.543931\pi$
$44$	−1.48081	+	1.24255i	−0.223241	+	0.187321i
$45$	0.500000	−	0.866025i	0.0745356	−	0.129099i
$46$	17.2354	−	6.27316i	2.54122	−	0.924927i
$47$	−0.0448451	−	0.0776740i	−0.00654133	−	0.0113299i	0.862736	−	0.505654i	$-0.168749\pi$
$47$	−0.0448451	−	0.0776740i	−0.00654133	−	0.0113299i	−0.869278	+	0.494324i	$0.835416\pi$
$48$	1.11992	−	1.93977i	0.161647	−	0.279981i
$49$	1.83991	−	10.4347i	0.262844	−	1.49066i
$50$	−2.02882	−	0.738429i	−0.286918	−	0.104430i
$51$	−3.08336	−	5.34054i	−0.431757	−	0.747825i
$52$	9.00424	+	7.55546i	1.24866	+	1.04775i
$53$	8.39887	+	7.04749i	1.15367	+	0.968047i	0.999799	−	0.0200433i	$-0.00638042\pi$
$53$	8.39887	+	7.04749i	1.15367	+	0.968047i	0.153874	+	0.988090i	$0.450825\pi$
$54$	−2.02882	+	0.738429i	−0.276087	+	0.100487i
$55$	0.126128	+	0.715307i	0.0170071	+	0.0964520i
$56$	−1.04010	−	5.89869i	−0.138989	−	0.788245i
$57$	−5.90591	+	2.14957i	−0.782256	+	0.284718i
$58$	−4.89674	−	4.10886i	−0.642974	−	0.539519i
$59$	−9.08079	−	7.61969i	−1.18222	−	0.991999i	−0.999962	−	0.00874816i	$-0.997215\pi$
$59$	−9.08079	−	7.61969i	−1.18222	−	0.991999i	−0.182257	−	0.983251i	$-0.558340\pi$
$60$	1.33069	+	2.30481i	0.171791	+	0.297550i
$61$	−4.32492	−	1.57414i	−0.553749	−	0.201548i	0.0499623	−	0.998751i	$-0.484090\pi$
$61$	−4.32492	−	1.57414i	−0.553749	−	0.201548i	−0.603711	+	0.797203i	$0.706312\pi$
$62$	−0.517631	+	2.93563i	−0.0657392	+	0.372826i
$63$	2.09736	−	3.63273i	0.264242	−	0.457681i
$64$	6.06343	+	10.5022i	0.757928	+	1.31277i
$65$	4.15024	−	1.51057i	0.514774	−	0.187363i
$66$	0.784094	−	1.35809i	0.0965152	−	0.167169i
$67$	3.29594	−	2.76562i	0.402663	−	0.337875i	−0.418859	−	0.908051i	$-0.637570\pi$
$67$	3.29594	−	2.76562i	0.402663	−	0.337875i	0.821522	+	0.570177i	$0.193125\pi$
$68$	16.4119			1.99024
$69$	−6.50777	+	5.46066i	−0.783443	+	0.657387i
$70$	−8.51030	−	3.09750i	−1.01718	−	0.370222i
$71$	0.00767563	+	0.0435307i	0.000910929	+	0.00516614i	0.985260	−	0.171065i	$-0.0547207\pi$
$71$	0.00767563	+	0.0435307i	0.000910929	+	0.00516614i	−0.984349	+	0.176231i	$0.943610\pi$
$72$	0.247954	−	1.40622i	0.0292217	−	0.165725i
$73$	−7.75604			−0.907775			−0.453888	−	0.891059i	$-0.649963\pi$
$73$	−7.75604			−0.907775			−0.453888	+	0.891059i	$0.649963\pi$
$74$	−13.0050	+	1.82780i	−1.51180	+	0.212478i
$75$	1.00000			0.115470
$76$	2.90453	−	16.4724i	0.333173	−	1.88952i
$77$	0.529071	+	3.00051i	0.0602932	+	0.341940i
$78$	−8.96046	−	3.26134i	−1.01457	−	0.369274i
$79$	11.2162	−	9.41154i	1.26193	−	1.05888i	0.266451	−	0.963848i	$-0.414149\pi$
$79$	11.2162	−	9.41154i	1.26193	−	1.05888i	0.995474	−	0.0950329i	$-0.0302956\pi$
$80$	2.23985			0.250423
$81$	0.766044	−	0.642788i	0.0851160	−	0.0714208i
$82$	−1.35526	+	2.34738i	−0.149663	+	0.259225i
$83$	−10.7266	+	3.90418i	−1.17740	+	0.428539i	−0.855284	−	0.518160i	$-0.826617\pi$
$83$	−10.7266	+	3.90418i	−1.17740	+	0.428539i	−0.322119	+	0.946699i	$0.604395\pi$
$84$	5.58184	+	9.66804i	0.609029	+	1.05487i
$85$	3.08336	−	5.34054i	0.334437	−	0.579263i
$86$	−0.676447	+	3.83632i	−0.0729431	+	0.413681i
$87$	2.78216	+	1.01262i	0.298279	+	0.108565i
$88$	0.518576	+	0.898201i	0.0552804	+	0.0957485i
$89$	12.7596	+	10.7066i	1.35251	+	1.13489i	0.978217	+	0.207585i	$0.0665603\pi$
$89$	12.7596	+	10.7066i	1.35251	+	1.13489i	0.374297	+	0.927309i	$0.377884\pi$
$90$	−1.65391	−	1.38779i	−0.174337	−	0.146286i
$91$	17.4091	−	6.33639i	1.82497	−	0.664234i
$92$	−3.92603	−	22.2656i	−0.409317	−	2.32135i
$93$	−0.239753	−	1.35971i	−0.0248612	−	0.140995i
$94$	−0.181965	+	0.0662298i	−0.0187682	+	0.00683108i
$95$	−4.81454	−	4.03988i	−0.493961	−	0.414483i
$96$	−5.89219	−	4.94413i	−0.601369	−	0.504608i
$97$	−1.10774	−	1.91866i	−0.112474	−	0.194810i	0.804293	−	0.594232i	$-0.202544\pi$
$97$	−1.10774	−	1.91866i	−0.112474	−	0.194810i	−0.916767	+	0.399422i	$0.869211\pi$
$98$	−21.4966	−	7.82411i	−2.17148	−	0.790355i
$99$	−0.126128	+	0.715307i	−0.0126763	+	0.0718911i
$100$	−1.33069	+	2.30481i	−0.133069	+	0.230481i
$101$	−1.31626	−	2.27983i	−0.130973	−	0.226851i	0.793079	−	0.609119i	$-0.208477\pi$
$101$	−1.31626	−	2.27983i	−0.130973	−	0.226851i	−0.924052	+	0.382267i	$0.875143\pi$
$102$	−12.5111	+	4.55368i	−1.23879	+	0.450882i
$103$	4.77677	−	8.27361i	0.470669	−	0.815223i	−0.528768	−	0.848766i	$-0.677346\pi$
$103$	4.77677	−	8.27361i	0.470669	−	0.815223i	0.999437	+	0.0335435i	$0.0106792\pi$
$104$	4.83107	−	4.05375i	0.473726	−	0.397503i
$105$	4.19471			0.409362
$106$	18.1333	−	15.2157i	1.76127	−	1.47788i
$107$	2.26794	+	0.825462i	0.219250	+	0.0798004i	0.449310	−	0.893376i	$-0.351670\pi$
$107$	2.26794	+	0.825462i	0.219250	+	0.0798004i	−0.230060	+	0.973176i	$0.573892\pi$
$108$	0.462142	+	2.62094i	0.0444696	+	0.252200i
$109$	−0.603636	+	3.42339i	−0.0578178	+	0.327901i	−0.999974	−	0.00727435i	$-0.997684\pi$
$109$	−0.603636	+	3.42339i	−0.0578178	+	0.327901i	0.942156	+	0.335175i	$0.108796\pi$
$110$	1.56819			0.149521
$111$	5.37075	−	2.85571i	0.509769	−	0.271052i
$112$	9.39552			0.887793
$113$	−2.73751	+	15.5252i	−0.257524	+	1.46049i	0.531987	+	0.846753i	$0.321446\pi$
$113$	−2.73751	+	15.5252i	−0.257524	+	1.46049i	−0.789511	+	0.613737i	$0.789666\pi$
$114$	2.35628	+	13.3632i	0.220686	+	1.25157i
$115$	−7.98296	−	2.90556i	−0.744415	−	0.270945i
$116$	−6.03609	+	5.06488i	−0.560437	+	0.470263i
$117$	4.41660			0.408315
$118$	−19.6056	+	16.4511i	−1.80484	+	1.51444i
$119$	12.9338	−	22.4020i	1.18564	−	2.05359i
$120$	1.34180	−	0.488375i	0.122489	−	0.0445823i
$121$	5.23621	+	9.06939i	0.476019	+	0.824490i
$122$	−4.96843	+	8.60557i	−0.449820	+	0.779112i
$123$	0.218005	−	1.23637i	0.0196568	−	0.111479i
$124$	3.45290	+	1.25675i	0.310080	+	0.112860i
$125$	0.500000	+	0.866025i	0.0447214	+	0.0774597i
$126$	−6.93766	−	5.82139i	−0.618056	−	0.518611i
$127$	−7.01055	−	5.88255i	−0.622086	−	0.521992i	0.276373	−	0.961051i	$-0.410868\pi$
$127$	−7.01055	−	5.88255i	−0.622086	−	0.521992i	−0.898458	+	0.439058i	$0.855312\pi$
$128$	10.1475	−	3.69338i	0.896919	−	0.326452i
$129$	−0.313312	−	1.77688i	−0.0275856	−	0.156446i
$130$	−1.65583	−	9.39066i	−0.145226	−	0.823615i
$131$	0.0607355	−	0.0221059i	0.00530649	−	0.00193140i	−0.339366	−	0.940655i	$-0.610212\pi$
$131$	0.0607355	−	0.0221059i	0.00530649	−	0.00193140i	0.344672	+	0.938723i	$0.387990\pi$
$132$	−1.48081	−	1.24255i	−0.128888	−	0.108150i
$133$	−20.1956	−	16.9461i	−1.75118	−	1.46942i
$134$	−4.64464	−	8.04476i	−0.401236	−	0.694961i
$135$	0.939693	+	0.342020i	0.0808759	+	0.0294364i
$136$	1.52907	−	8.67177i	0.131116	−	0.743598i
$137$	−10.6024	+	18.3638i	−0.905821	+	1.56893i	−0.0860086	+	0.996294i	$0.527411\pi$
$137$	−10.6024	+	18.3638i	−0.905821	+	1.56893i	−0.819812	+	0.572633i	$0.805922\pi$
$138$	9.17075	+	15.8842i	0.780666	+	1.35215i
$139$	−16.9984	+	6.18691i	−1.44178	+	0.524767i	−0.940284	−	0.340391i	$-0.889441\pi$
$139$	−16.9984	+	6.18691i	−1.44178	+	0.524767i	−0.501500	+	0.865157i	$0.667218\pi$
$140$	−5.58184	+	9.66804i	−0.471752	+	0.817098i
$141$	0.0687067	−	0.0576517i	0.00578615	−	0.00485515i
$142$	0.0954334			0.00800860
$143$	−2.45744	+	2.06204i	−0.205501	+	0.172436i
$144$	2.10477	+	0.766073i	0.175397	+	0.0638394i
$145$	0.514123	+	2.91574i	0.0426956	+	0.242139i
$146$	−2.90782	+	16.4910i	−0.240653	+	1.36481i
$147$	10.5956			0.873912
$148$	−0.564882	+	16.1786i	−0.0464330	+	1.32987i
$149$	6.95444			0.569730			0.284865	−	0.958568i	$-0.408051\pi$
$149$	6.95444			0.569730			0.284865	+	0.958568i	$0.408051\pi$
$150$	0.374910	−	2.12622i	0.0306113	−	0.173605i
$151$	1.62397	+	9.21000i	0.132157	+	0.749499i	0.976797	+	0.214165i	$0.0687031\pi$
$151$	1.62397	+	9.21000i	0.132157	+	0.749499i	−0.844641	+	0.535334i	$0.820186\pi$
$152$	−8.43312	−	3.06940i	−0.684016	−	0.248962i
$153$	4.72398	−	3.96389i	0.381911	−	0.320462i
$154$	6.57810			0.530078
$155$	1.05766	−	0.887485i	0.0849535	−	0.0712845i
$156$	−5.87710	+	10.1794i	−0.470545	+	0.815007i
$157$	−19.2495	+	7.00625i	−1.53628	+	0.559160i	−0.965149	−	0.261700i	$-0.915717\pi$
$157$	−19.2495	+	7.00625i	−1.53628	+	0.559160i	−0.571130	+	0.820860i	$0.693495\pi$
$158$	−15.8059	−	27.3767i	−1.25745	−	2.17797i
$159$	−5.48197	+	9.49506i	−0.434749	+	0.753007i
$160$	1.33565	−	7.57485i	0.105592	−	0.598844i
$161$	−33.4862	−	12.1880i	−2.63908	−	0.960548i
$162$	−1.07951	−	1.86977i	−0.0848143	−	0.146903i
$163$	8.95833	+	7.51693i	0.701670	+	0.588771i	0.922248	−	0.386598i	$-0.126350\pi$
$163$	8.95833	+	7.51693i	0.701670	+	0.588771i	−0.220578	+	0.975369i	$0.570794\pi$
$164$	2.55950	+	2.14767i	0.199863	+	0.167705i
$165$	−0.682538	+	0.248424i	−0.0531355	+	0.0193397i
$166$	4.27962	+	24.2709i	0.332163	+	1.88379i
$167$	0.607386	+	3.44466i	0.0470010	+	0.266556i	0.999248	−	0.0387728i	$-0.0123449\pi$
$167$	0.607386	+	3.44466i	0.0470010	+	0.266556i	−0.952247	+	0.305328i	$0.901234\pi$
$168$	5.62846	−	2.04859i	0.434245	−	0.158052i
$169$	4.98414	+	4.18219i	0.383395	+	0.321707i
$170$	−10.1992	−	8.55813i	−0.782241	−	0.656378i
$171$	−3.14247	−	5.44291i	−0.240310	−	0.416230i
$172$	4.51230	+	1.64234i	0.344060	+	0.125227i
$173$	2.40918	−	13.6631i	0.183167	−	1.03879i	−0.745122	−	0.666928i	$-0.767609\pi$
$173$	2.40918	−	13.6631i	0.183167	−	1.03879i	0.928288	−	0.371861i	$-0.121280\pi$
$174$	3.19612	−	5.53585i	0.242297	−	0.419671i
$175$	2.09736	+	3.63273i	0.158545	+	0.274608i
$176$	−1.52878	+	0.556431i	−0.115236	+	0.0419426i
$177$	5.92707	−	10.2660i	0.445506	−	0.771638i
$178$	27.5482	−	23.1157i	2.06483	−	1.73260i
$179$	0.488646			0.0365231			0.0182616	−	0.999833i	$-0.494187\pi$
$179$	0.488646			0.0365231			0.0182616	+	0.999833i	$0.494187\pi$
$180$	−2.03873	+	1.71070i	−0.151958	+	0.127508i
$181$	5.22475	+	1.90165i	0.388353	+	0.141349i	0.528815	−	0.848737i	$-0.322637\pi$
$181$	5.22475	+	1.90165i	0.388353	+	0.141349i	−0.140462	+	0.990086i	$0.544859\pi$
$182$	−6.94572	−	39.3911i	−0.514851	−	2.91986i
$183$	0.799213	−	4.53256i	0.0590795	−	0.335057i
$184$	−12.1305			−0.894274
$185$	5.15849	+	3.22335i	0.379260	+	0.236985i
$186$	−2.98092			−0.218572
$187$	−0.777796	+	4.41110i	−0.0568781	+	0.322572i
$188$	0.0414496	+	0.235072i	0.00302302	+	0.0171444i
$189$	3.94174	+	1.43468i	0.286720	+	0.104357i
$190$	−10.3947	+	8.72218i	−0.754110	+	0.632773i
$191$	18.5375			1.34133			0.670663	−	0.741762i	$-0.266010\pi$
$191$	18.5375			1.34133			0.670663	+	0.741762i	$0.266010\pi$
$192$	−9.28971	+	7.79499i	−0.670427	+	0.562555i
$193$	−11.2411	+	19.4702i	−0.809154	+	1.40150i	0.104297	+	0.994546i	$0.466741\pi$
$193$	−11.2411	+	19.4702i	−0.809154	+	1.40150i	−0.913451	+	0.406949i	$0.866593\pi$
$194$	−4.49479	+	1.63597i	−0.322707	+	0.117456i
$195$	2.20830	+	3.82489i	0.158140	+	0.273906i
$196$	−14.0994	+	24.4209i	−1.00710	+	1.74435i
$197$	2.86479	−	16.2470i	0.204108	−	1.15755i	−0.694729	−	0.719271i	$-0.744476\pi$
$197$	2.86479	−	16.2470i	0.204108	−	1.15755i	0.898837	−	0.438282i	$-0.144413\pi$
$198$	1.47361	+	0.536352i	0.104725	+	0.0381168i
$199$	−7.04115	−	12.1956i	−0.499134	−	0.864526i	0.500865	−	0.865525i	$-0.333015\pi$
$199$	−7.04115	−	12.1956i	−0.499134	−	0.864526i	−1.00000		0.000999437i	$0.999682\pi$
$200$	1.09384	+	0.917845i	0.0773465	+	0.0649014i
$201$	3.29594	+	2.76562i	0.232478	+	0.195072i
$202$	−5.34090	+	1.94393i	−0.375784	+	0.136774i
$203$	2.15660	+	12.2307i	0.151363	+	0.858425i
$204$	2.84990	+	16.1626i	0.199533	+	1.13161i
$205$	1.17973	−	0.429385i	0.0823957	−	0.0299896i
$206$	−15.8007	−	13.2583i	−1.10088	−	0.923751i
$207$	−6.50777	−	5.46066i	−0.452321	−	0.379542i
$208$	4.94625	+	8.56716i	0.342961	+	0.594026i
$209$	4.28971	+	1.56133i	0.296725	+	0.107999i
$210$	1.57264	−	8.91889i	0.108522	−	0.615462i
$211$	−5.70941	+	9.88899i	−0.393052	+	0.680786i	−0.992850	−	0.119365i	$-0.961914\pi$
$211$	−5.70941	+	9.88899i	−0.393052	+	0.680786i	0.599798	+	0.800151i	$0.295247\pi$
$212$	−14.5896	−	25.2699i	−1.00202	−	1.73554i
$213$	−0.0415365	+	0.0151180i	−0.00284603	+	0.00103587i
$214$	2.60539	−	4.51266i	0.178101	−	0.308479i
$215$	1.38217	−	1.15978i	0.0942630	−	0.0790961i
$216$	1.42791			0.0971572
$217$	4.43659	−	3.72274i	0.301176	−	0.252716i
$218$	7.05257	+	2.56692i	0.477660	+	0.173854i
$219$	−1.34682	−	7.63820i	−0.0910098	−	0.516142i
$220$	0.335673	−	1.90370i	0.0226311	−	0.128347i
$221$	27.2359			1.83209
$222$	−4.05833	−	12.4900i	−0.272377	−	0.838275i
$223$	−6.40056			−0.428613			−0.214307	−	0.976766i	$-0.568749\pi$
$223$	−6.40056			−0.428613			−0.214307	+	0.976766i	$0.568749\pi$
$224$	5.60267	−	31.7743i	0.374344	−	2.12301i
$225$	0.173648	+	0.984808i	0.0115765	+	0.0656539i
$226$	31.9837	+	11.6411i	2.12752	+	0.774356i
$227$	16.4088	−	13.7686i	1.08909	−	0.913856i	0.0924477	−	0.995718i	$-0.470531\pi$
$227$	16.4088	−	13.7686i	1.08909	−	0.913856i	0.996644	+	0.0818614i	$0.0260865\pi$
$228$	16.7265			1.10774
$229$	−5.53909	+	4.64785i	−0.366033	+	0.307138i	−0.807190	−	0.590292i	$-0.799013\pi$
$229$	−5.53909	+	4.64785i	−0.366033	+	0.307138i	0.441157	+	0.897430i	$0.354568\pi$
$230$	−9.17075	+	15.8842i	−0.604701	+	1.04737i
$231$	−2.86305	+	1.04207i	−0.188375	+	0.0685629i
$232$	2.11382	+	3.66125i	0.138779	+	0.240373i
$233$	−7.28668	+	12.6209i	−0.477367	+	0.826823i	−0.999663	−	0.0259405i	$-0.991742\pi$
$233$	−7.28668	+	12.6209i	−0.477367	+	0.826823i	0.522297	+	0.852764i	$0.325075\pi$
$234$	1.65583	−	9.39066i	0.108245	−	0.613887i
$235$	0.0842812	+	0.0306758i	0.00549790	+	0.00200107i
$236$	15.7741	+	27.3216i	1.02681	+	1.77848i
$237$	11.2162	+	9.41154i	0.728573	+	0.611345i
$238$	−42.7826	−	35.8989i	−2.77319	−	2.32698i
$239$	20.4313	−	7.43638i	1.32159	−	0.481019i	0.417623	−	0.908621i	$-0.362863\pi$
$239$	20.4313	−	7.43638i	1.32159	−	0.481019i	0.903968	+	0.427601i	$0.140641\pi$
$240$	0.388945	+	2.20582i	0.0251063	+	0.142385i
$241$	−5.01386	−	28.4350i	−0.322971	−	1.83166i	−0.523567	−	0.851985i	$-0.675399\pi$
$241$	−5.01386	−	28.4350i	−0.322971	−	1.83166i	0.200596	−	0.979674i	$-0.435712\pi$
$242$	21.2466	−	7.73314i	1.36578	−	0.497105i
$243$	0.766044	+	0.642788i	0.0491418	+	0.0412348i
$244$	9.38321	+	7.87345i	0.600699	+	0.504046i
$245$	5.29781	+	9.17608i	0.338465	+	0.586238i
$246$	−2.54705	−	0.927052i	−0.162394	−	0.0591067i
$247$	4.82013	−	27.3363i	0.306698	−	1.73937i
$248$	0.985746	−	1.70736i	0.0625949	−	0.108418i
$249$	−5.70753	−	9.88573i	−0.361700	−	0.626483i
$250$	2.02882	−	0.738429i	0.128314	−	0.0467023i
$251$	−9.13950	+	15.8301i	−0.576880	+	0.999185i	0.418955	+	0.908007i	$0.362397\pi$
$251$	−9.13950	+	15.8301i	−0.576880	+	0.999185i	−0.995835	+	0.0911781i	$0.970937\pi$
$252$	−8.55188	+	7.17588i	−0.538718	+	0.452038i
$253$	6.17048			0.387935
$254$	−15.1359	+	12.7006i	−0.949713	+	0.796904i
$255$	5.79482	+	2.10914i	0.362886	+	0.132080i
$256$	0.163064	+	0.924782i	0.0101915	+	0.0577989i
$257$	2.35432	−	13.3520i	0.146858	−	0.832874i	−0.818998	−	0.573796i	$-0.805470\pi$
$257$	2.35432	−	13.3520i	0.146858	−	0.832874i	0.965856	−	0.259078i	$-0.0834187\pi$
$258$	−3.89550			−0.242523
$259$	21.6384	+	13.5210i	1.34454	+	0.840155i
$260$	−11.7542			−0.728965
$261$	−0.514123	+	2.91574i	−0.0318234	+	0.180479i
$262$	−0.0242317	−	0.137425i	−0.00149704	−	0.00849014i
$263$	13.8267	+	5.03249i	0.852589	+	0.310317i	0.731095	−	0.682275i	$-0.239009\pi$
$263$	13.8267	+	5.03249i	0.852589	+	0.310317i	0.121493	+	0.992592i	$0.461232\pi$
$264$	−0.794505	+	0.666669i	−0.0488984	+	0.0410306i
$265$	−10.9639			−0.673510
$266$	−43.6027	+	36.5870i	−2.67346	+	2.24330i
$267$	−8.32823	+	14.4249i	−0.509679	+	0.882791i
$268$	−10.7601	+	3.91636i	−0.657278	+	0.239230i
$269$	6.95516	+	12.0467i	0.424063	+	0.734499i	0.996332	−	0.0855666i	$-0.0272700\pi$
$269$	6.95516	+	12.0467i	0.424063	+	0.734499i	−0.572269	+	0.820066i	$0.693937\pi$
$270$	1.07951	−	1.86977i	0.0656969	−	0.113790i
$271$	−5.47086	+	31.0268i	−0.332331	+	1.88474i	0.119810	+	0.992797i	$0.461771\pi$
$271$	−5.47086	+	31.0268i	−0.332331	+	1.88474i	−0.452142	+	0.891946i	$0.649340\pi$
$272$	12.9795	+	4.72416i	0.786999	+	0.286444i
$273$	9.26318	+	16.0443i	0.560633	+	0.971045i
$274$	35.0706	+	29.4277i	2.11869	+	1.77779i
$275$	−0.556410	−	0.466884i	−0.0335528	−	0.0281541i
$276$	21.2456	−	7.73277i	1.27884	−	0.465458i
$277$	−1.51782	−	8.60800i	−0.0911971	−	0.517204i	−0.995847	−	0.0910478i	$-0.970978\pi$
$277$	−1.51782	−	8.60800i	−0.0911971	−	0.517204i	0.904649	−	0.426157i	$-0.140133\pi$
$278$	6.78186	+	38.4619i	0.406749	+	2.30679i
$279$	1.29742	−	0.472221i	0.0776742	−	0.0282711i
$280$	4.58837	+	3.85010i	0.274207	+	0.230087i
$281$	9.98288	+	8.37663i	0.595529	+	0.499708i	0.890005	−	0.455951i	$-0.150701\pi$
$281$	9.98288	+	8.37663i	0.595529	+	0.499708i	−0.294476	+	0.955659i	$0.595145\pi$
$282$	−0.0968215	−	0.167700i	−0.00576564	−	0.00998637i
$283$	20.2542	+	7.37194i	1.20399	+	0.438216i	0.864615	−	0.502435i	$-0.167562\pi$
$283$	20.2542	+	7.37194i	1.20399	+	0.438216i	0.339375	+	0.940651i	$0.389785\pi$
$284$	0.0204277	−	0.115851i	0.00121216	−	0.00687450i
$285$	3.14247	−	5.44291i	0.186144	−	0.322410i
$286$	3.46303	+	5.99814i	0.204773	+	0.354677i
$287$	4.94862	−	1.80115i	0.292108	−	0.106318i
$288$	3.84585	−	6.66121i	0.226619	−	0.392516i
$289$	16.1087	−	13.5168i	0.947573	−	0.795108i
$290$	6.39225			0.375366
$291$	1.69715	−	1.42408i	0.0994888	−	0.0834810i
$292$	19.3968	+	7.05987i	1.13511	+	0.413148i
$293$	3.73999	+	21.2105i	0.218493	+	1.23913i	0.874742	+	0.484589i	$0.161031\pi$
$293$	3.73999	+	21.2105i	0.218493	+	1.23913i	−0.656249	+	0.754544i	$0.727858\pi$
$294$	3.97241	−	22.5286i	0.231675	−	1.31390i
$295$	11.8541			0.690174
$296$	8.49586	+	1.80580i	0.493812	+	0.104960i
$297$	−0.726342			−0.0421466
$298$	2.60729	−	14.7867i	0.151036	−	0.856569i
$299$	−6.51532	−	36.9502i	−0.376791	−	2.13689i
$300$	−2.50087	−	0.910242i	−0.144388	−	0.0525529i
$301$	5.79780	−	4.86493i	0.334179	−	0.280410i
$302$	20.1913			1.16188
$303$	2.01663	−	1.69215i	0.115852	−	0.0972115i
$304$	7.03865	−	12.1913i	0.403694	−	0.699219i
$305$	4.32492	−	1.57414i	0.247644	−	0.0901351i
$306$	−6.65704	−	11.5303i	−0.380558	−	0.659145i
$307$	−4.62173	+	8.00508i	−0.263776	+	0.456874i	−0.967242	−	0.253855i	$-0.918301\pi$
$307$	−4.62173	+	8.00508i	−0.263776	+	0.456874i	0.703466	+	0.710729i	$0.251635\pi$
$308$	1.40805	−	7.98546i	0.0802313	−	0.455014i
$309$	8.97739	+	3.26750i	0.510706	+	0.185882i
$310$	−1.49046	−	2.58155i	−0.0846524	−	0.146622i
$311$	5.63737	+	4.73031i	0.319666	+	0.268231i	0.788473	−	0.615069i	$-0.210872\pi$
$311$	5.63737	+	4.73031i	0.319666	+	0.268231i	−0.468808	+	0.883300i	$0.655316\pi$
$312$	4.83107	+	4.05375i	0.273506	+	0.229498i
$313$	−11.6411	+	4.23703i	−0.657996	+	0.239491i	−0.649371	−	0.760472i	$-0.724968\pi$
$313$	−11.6411	+	4.23703i	−0.657996	+	0.239491i	−0.00862531	+	0.999963i	$0.502746\pi$
$314$	7.68000	+	43.5554i	0.433407	+	2.45798i
$315$	0.728404	+	4.13099i	0.0410409	+	0.232755i
$316$	−36.6171	+	13.3276i	−2.05988	+	0.749733i
$317$	−7.85078	−	6.58759i	−0.440944	−	0.369996i	0.395119	−	0.918630i	$-0.370703\pi$
$317$	−7.85078	−	6.58759i	−0.440944	−	0.369996i	−0.836062	+	0.548634i	$0.815148\pi$
$318$	18.1333	+	15.2157i	1.01687	+	0.853253i
$319$	−1.07525	−	1.86238i	−0.0602022	−	0.104273i
$320$	−11.3955	−	4.14763i	−0.637029	−	0.231859i
$321$	−0.419098	+	2.37682i	−0.0233918	+	0.132661i
$322$	−38.4687	+	66.6297i	−2.14377	+	3.71313i
$323$	−19.3787	−	33.5649i	−1.07826	−	1.86760i
$324$	−2.50087	+	0.910242i	−0.138937	+	0.0505690i
$325$	−2.20830	+	3.82489i	−0.122494	+	0.212166i
$326$	19.3412	−	16.2292i	1.07121	−	0.898853i
$327$	−3.47620			−0.192234
$328$	1.37326	−	1.15230i	0.0758253	−	0.0636250i
$329$	0.353536	+	0.128676i	0.0194910	+	0.00709416i
$330$	0.272313	+	1.54436i	0.0149903	+	0.0850144i
$331$	3.11083	−	17.6424i	0.170987	−	0.969715i	−0.771688	−	0.636002i	$-0.780587\pi$
$331$	3.11083	−	17.6424i	0.170987	−	0.969715i	0.942675	−	0.333713i	$-0.108302\pi$
$332$	30.3797			1.66730
$333$	3.74495	+	4.79326i	0.205222	+	0.262669i
$334$	7.55182			0.413217
$335$	−0.747129	+	4.23718i	−0.0408200	+	0.231502i
$336$	1.63151	+	9.25278i	0.0890064	+	0.504781i
$337$	−16.4418	−	5.98431i	−0.895639	−	0.325986i	−0.147135	−	0.989116i	$-0.547005\pi$
$337$	−16.4418	−	5.98431i	−0.895639	−	0.325986i	−0.748504	+	0.663130i	$0.769228\pi$
$338$	10.7609	−	9.02943i	0.585313	−	0.491136i
$339$	−15.7647			−0.856222
$340$	−12.5723	+	10.5494i	−0.681827	+	0.572121i
$341$	−0.501423	+	0.868490i	−0.0271536	+	0.0470314i
$342$	−12.7510	+	4.64098i	−0.689494	+	0.250955i
$343$	7.54130	+	13.0619i	0.407192	+	0.705278i
$344$	1.28819	−	2.23120i	0.0694543	−	0.120298i
$345$	1.47519	−	8.36622i	0.0794216	−	0.450422i
$346$	−28.1476	−	10.2449i	−1.51323	−	0.550769i
$347$	0.185416	+	0.321149i	0.00995363	+	0.0172402i	0.870959	−	0.491355i	$-0.163498\pi$
$347$	0.185416	+	0.321149i	0.00995363	+	0.0172402i	−0.861006	+	0.508595i	$0.830165\pi$
$348$	−6.03609	−	5.06488i	−0.323569	−	0.271506i
$349$	−9.51052	−	7.98028i	−0.509087	−	0.427174i	0.351721	−	0.936105i	$-0.385597\pi$
$349$	−9.51052	−	7.98028i	−0.509087	−	0.427174i	−0.860808	+	0.508931i	$0.830041\pi$
$350$	8.51030	−	3.09750i	0.454895	−	0.165568i
$351$	0.766934	+	4.34950i	0.0409359	+	0.232159i
$352$	0.970139	+	5.50193i	0.0517086	+	0.293254i
$353$	1.38471	−	0.503995i	0.0737009	−	0.0268249i	−0.304907	−	0.952382i	$-0.598625\pi$
$353$	1.38471	−	0.503995i	0.0737009	−	0.0268249i	0.378608	+	0.925557i	$0.376403\pi$
$354$	−19.6056	−	16.4511i	−1.04203	−	0.874364i
$355$	−0.0338608	−	0.0284126i	−0.00179715	−	0.00150799i
$356$	−22.1645	−	38.3901i	−1.17472	−	2.03467i
$357$	24.3076	+	8.84725i	1.28650	+	0.468246i
$358$	0.183198	−	1.03897i	0.00968233	−	0.0549112i
$359$	−12.5385	+	21.7174i	−0.661759	+	1.14620i	0.318394	+	0.947958i	$0.396857\pi$
$359$	−12.5385	+	21.7174i	−0.661759	+	1.14620i	−0.980153	+	0.198242i	$0.936477\pi$
$360$	0.713956	+	1.23661i	0.0376288	+	0.0651750i
$361$	−19.2641	+	7.01155i	−1.01390	+	0.369029i
$362$	6.00215	−	10.3960i	0.315466	−	0.546403i
$363$	−8.02234	+	6.73155i	−0.421064	+	0.353315i
$364$	−49.3055			−2.58431
$365$	5.94147	−	4.98548i	0.310991	−	0.260952i
$366$	−9.33759	−	3.39860i	−0.488084	−	0.177648i
$367$	−2.71826	−	15.4160i	−0.141892	−	0.804709i	−0.969810	−	0.243861i	$-0.921586\pi$
$367$	−2.71826	−	15.4160i	−0.141892	−	0.804709i	0.827918	−	0.560849i	$-0.189525\pi$
$368$	3.30420	−	18.7391i	0.172243	−	0.976841i
$369$	1.25544			0.0653555
$370$	8.78751	−	9.75963i	0.456841	−	0.507379i
$371$	−45.9906			−2.38771
$372$	−0.638071	+	3.61868i	−0.0330824	+	0.187620i
$373$	−0.00278835	−	0.0158135i	−0.000144375	−	0.000818793i	0.984735	−	0.174058i	$-0.0556879\pi$
$373$	−0.00278835	−	0.0158135i	−0.000144375	−	0.000818793i	−0.984880	+	0.173239i	$0.944577\pi$
$374$	9.08737	+	3.30753i	0.469897	+	0.171028i
$375$	−0.766044	+	0.642788i	−0.0395584	+	0.0331934i
$376$	0.128070			0.00660469
$377$	−10.0170	+	8.40527i	−0.515903	+	0.432894i
$378$	4.52824	−	7.84314i	0.232907	−	0.403407i
$379$	2.02277	−	0.736227i	0.103903	−	0.0378174i	−0.289546	−	0.957164i	$-0.593504\pi$
$379$	2.02277	−	0.736227i	0.103903	−	0.0378174i	0.393448	+	0.919347i	$0.371282\pi$
$380$	8.36327	+	14.4856i	0.429027	+	0.743096i
$381$	4.57581	−	7.92554i	0.234426	−	0.406038i
$382$	6.94989	−	39.4148i	0.355587	−	2.01664i
$383$	2.88036	+	1.04837i	0.147180	+	0.0535691i	0.414560	−	0.910022i	$-0.363936\pi$
$383$	2.88036	+	1.04837i	0.147180	+	0.0535691i	−0.267380	+	0.963591i	$0.586158\pi$
$384$	5.39936	+	9.35196i	0.275535	+	0.477240i
$385$	−2.33398	−	1.95844i	−0.118951	−	0.0998115i
$386$	37.1835	+	31.2007i	1.89259	+	1.58807i
$387$	1.69548	−	0.617104i	0.0861861	−	0.0313692i
$388$	1.02386	+	5.80662i	0.0519788	+	0.294786i
$389$	0.604955	+	3.43087i	0.0306724	+	0.173952i	0.996296	−	0.0859936i	$-0.0274065\pi$
$389$	0.604955	+	3.43087i	0.0306724	+	0.173952i	−0.965623	+	0.259946i	$0.916295\pi$
$390$	8.96046	−	3.26134i	0.453731	−	0.165144i
$391$	−40.1316	−	33.6744i	−2.02954	−	1.70299i
$392$	11.5900	+	9.72514i	0.585382	+	0.491194i
$393$	0.0323167	+	0.0559742i	0.00163016	+	0.00282352i
$394$	−33.4708	−	12.1824i	−1.68623	−	0.613738i
$395$	−2.54252	+	14.4193i	−0.127928	+	0.725515i
$396$	0.966532	−	1.67408i	0.0485701	−	0.0841258i
$397$	19.0867	+	33.0591i	0.957934	+	1.65919i	0.727506	+	0.686101i	$0.240679\pi$
$397$	19.0867	+	33.0591i	0.957934	+	1.65919i	0.230428	+	0.973089i	$0.425987\pi$
$398$	−28.5704	+	10.3988i	−1.43211	+	0.521244i
$399$	13.1817	−	22.8315i	0.659913	−	1.14300i
$400$	−1.71582	+	1.43975i	−0.0857911	+	0.0719873i
$401$	−11.4950			−0.574033			−0.287016	−	0.957926i	$-0.592663\pi$
$401$	−11.4950			−0.574033			−0.287016	+	0.957926i	$0.592663\pi$
$402$	7.11600	−	5.97104i	0.354914	−	0.297808i
$403$	5.73016	+	2.08561i	0.285440	+	0.103892i
$404$	1.21660	+	6.89967i	0.0605280	+	0.343271i
$405$	−0.173648	+	0.984808i	−0.00862865	+	0.0489355i
$406$	26.8136			1.33074
$407$	−4.32162	−	0.918565i	−0.214215	−	0.0455316i
$408$	8.80554			0.435939
$409$	−4.22165	+	23.9422i	−0.208747	+	1.18386i	0.682686	+	0.730712i	$0.260812\pi$
$409$	−4.22165	+	23.9422i	−0.208747	+	1.18386i	−0.891433	+	0.453153i	$0.850299\pi$
$410$	−0.470677	−	2.66934i	−0.0232451	−	0.131829i
$411$	−19.9259	−	7.25244i	−0.982873	−	0.357736i
$412$	−19.4771	+	16.3432i	−0.959566	+	0.805172i
$413$	49.7247			2.44679
$414$	−14.0504	+	11.7897i	−0.690540	+	0.579432i
$415$	5.70753	−	9.88573i	0.280172	−	0.485271i
$416$	31.9224	−	11.6188i	1.56513	−	0.569659i
$417$	−9.04465	−	15.6658i	−0.442919	−	0.767158i
$418$	4.92798	−	8.53551i	0.241035	−	0.417485i
$419$	−2.01124	+	11.4063i	−0.0982555	+	0.557235i	0.895446	+	0.445171i	$0.146857\pi$
$419$	−2.01124	+	11.4063i	−0.0982555	+	0.557235i	−0.993701	+	0.112064i	$0.964254\pi$
$420$	−10.4904	−	3.81821i	−0.511881	−	0.186309i
$421$	−11.5062	−	19.9293i	−0.560776	−	0.971293i	−0.997429	−	0.0716628i	$-0.977169\pi$
$421$	−11.5062	−	19.9293i	−0.560776	−	0.971293i	0.436653	−	0.899630i	$-0.356164\pi$
$422$	18.8857	+	15.8469i	0.919339	+	0.771417i
$423$	0.0687067	+	0.0576517i	0.00334063	+	0.00280312i
$424$	−14.7114	+	5.35452i	−0.714449	+	0.260038i
$425$	1.07084	+	6.07304i	0.0519434	+	0.294586i
$426$	0.0165718	+	0.0939836i	0.000802908	+	0.00455352i
$427$	18.1418	−	6.60307i	0.877943	−	0.319545i
$428$	−4.92045	−	4.12875i	−0.237839	−	0.199571i
$429$	−2.45744	−	2.06204i	−0.118646	−	0.0995561i
$430$	−1.94775	−	3.37360i	−0.0939289	−	0.162690i
$431$	−17.0604	−	6.20949i	−0.821772	−	0.299100i	−0.103294	−	0.994651i	$-0.532938\pi$
$431$	−17.0604	−	6.20949i	−0.821772	−	0.299100i	−0.718477	+	0.695550i	$0.755161\pi$
$432$	−0.388945	+	2.20582i	−0.0187131	+	0.106128i
$433$	−6.89040	+	11.9345i	−0.331132	+	0.573537i	−0.982734	−	0.185024i	$-0.940764\pi$
$433$	−6.89040	+	11.9345i	−0.331132	+	0.573537i	0.651602	+	0.758561i	$0.274097\pi$
$434$	−6.25205	−	10.8289i	−0.300108	−	0.519802i
$435$	−2.78216	+	1.01262i	−0.133394	+	0.0485516i
$436$	4.62573	−	8.01199i	0.221532	−	0.383705i
$437$	−40.9009	+	34.3199i	−1.95655	+	1.64174i
$438$	−16.7454			−0.800128
$439$	1.89918	−	1.59360i	0.0906430	−	0.0760585i	−0.596340	−	0.802732i	$-0.703379\pi$
$439$	1.89918	−	1.59360i	0.0906430	−	0.0760585i	0.686983	+	0.726673i	$0.258935\pi$
$440$	−0.974605	−	0.354727i	−0.0464625	−	0.0169110i
$441$	1.83991	+	10.4347i	0.0876148	+	0.496888i
$442$	10.2110	−	57.9096i	0.485689	−	2.75448i
$443$	19.5533			0.929007			0.464503	−	0.885571i	$-0.346233\pi$
$443$	19.5533			0.929007			0.464503	+	0.885571i	$0.346233\pi$
$444$	−16.0309	+	2.25309i	−0.760794	+	0.106927i
$445$	−16.6565			−0.789592
$446$	−2.39963	+	13.6090i	−0.113626	+	0.644405i
$447$	1.20763	+	6.84879i	0.0571187	+	0.323937i
$448$	−47.8009	−	17.3981i	−2.25838	−	0.821983i
$449$	−0.628965	+	0.527764i	−0.0296827	+	0.0249067i	−0.657508	−	0.753447i	$-0.728390\pi$
$449$	−0.628965	+	0.527764i	−0.0296827	+	0.0249067i	0.627826	+	0.778354i	$0.283945\pi$
$450$	2.15902			0.101777
$451$	−0.698539	+	0.586144i	−0.0328929	+	0.0276004i
$452$	20.9779	−	36.3348i	0.986716	−	1.70904i
$453$	−8.78808	+	3.19860i	−0.412900	+	0.150283i
$454$	−23.1233	−	40.0508i	−1.08523	−	1.87968i
$455$	−9.26318	+	16.0443i	−0.434265	+	0.752168i
$456$	1.55838	−	8.83800i	0.0729777	−	0.413877i
$457$	4.63025	+	1.68527i	0.216594	+	0.0788338i	0.448038	−	0.894014i	$-0.352123\pi$
$457$	4.63025	+	1.68527i	0.216594	+	0.0788338i	−0.231444	+	0.972848i	$0.574345\pi$
$458$	7.80568	+	13.5198i	0.364736	+	0.631741i
$459$	4.72398	+	3.96389i	0.220497	+	0.185019i
$460$	17.3196	+	14.5329i	0.807529	+	0.677598i
$461$	−29.8413	+	10.8613i	−1.38985	+	0.505863i	−0.925149	−	0.379605i	$-0.876060\pi$
$461$	−29.8413	+	10.8613i	−1.38985	+	0.505863i	−0.464700	+	0.885468i	$0.653838\pi$
$462$	1.14227	+	6.47816i	0.0531434	+	0.301391i
$463$	2.77766	+	15.7529i	0.129089	+	0.732099i	0.978795	+	0.204843i	$0.0656683\pi$
$463$	2.77766	+	15.7529i	0.129089	+	0.732099i	−0.849706	+	0.527257i	$0.823221\pi$
$464$	−6.23162	+	2.26812i	−0.289296	+	0.105295i
$465$	1.05766	+	0.887485i	0.0490479	+	0.0411561i
$466$	24.1030	+	20.2248i	1.11655	+	0.936896i
$467$	3.94796	+	6.83807i	0.182690	+	0.316428i	0.942796	−	0.333371i	$-0.108186\pi$
$467$	3.94796	+	6.83807i	0.182690	+	0.316428i	−0.760106	+	0.649799i	$0.774853\pi$
$468$	−11.0453	−	4.02017i	−0.510571	−	0.185833i
$469$	−3.13399	+	17.7738i	−0.144714	+	0.820716i
$470$	0.0968215	−	0.167700i	0.00446604	−	0.00773541i
$471$	−10.2425	−	17.7405i	−0.471947	−	0.817437i
$472$	15.9059	−	5.78926i	0.732127	−	0.266472i
$473$	−0.655266	+	1.13495i	−0.0301292	+	0.0521853i
$474$	24.2161	−	20.3197i	1.11228	−	0.933315i
$475$	6.28493			0.288373
$476$	−52.7371	+	44.2517i	−2.41720	+	2.02827i
$477$	−10.3027	−	3.74989i	−0.471730	−	0.171696i
$478$	−8.15149	−	46.2294i	−0.372840	−	2.11448i
$479$	1.41298	−	8.01341i	0.0645607	−	0.366142i	−0.935362	−	0.353692i	$-0.884926\pi$
$479$	1.41298	−	8.01341i	0.0645607	−	0.366142i	0.999923	−	0.0124496i	$-0.00396294\pi$
$480$	7.69170			0.351077
$481$	−0.937433	+	26.8488i	−0.0427433	+	1.22420i
$482$	−62.3388			−2.83945
$483$	6.18800	−	35.0939i	0.281564	−	1.59683i
$484$	−4.83975	−	27.4476i	−0.219989	−	1.24762i
$485$	2.08186	+	0.757737i	0.0945326	+	0.0344070i
$486$	1.65391	−	1.38779i	0.0750227	−	0.0629515i
$487$	−21.6384			−0.980531			−0.490266	−	0.871573i	$-0.663100\pi$
$487$	−21.6384			−0.980531			−0.490266	+	0.871573i	$0.663100\pi$
$488$	5.03440	−	4.22436i	0.227897	−	0.191228i
$489$	−5.84713	+	10.1275i	−0.264417	+	0.457983i
$490$	21.4966	−	7.82411i	0.971116	−	0.353457i
$491$	16.9000	+	29.2716i	0.762686	+	1.32101i	0.941461	+	0.337121i	$0.109453\pi$
$491$	16.9000	+	29.2716i	0.762686	+	1.32101i	−0.178775	+	0.983890i	$0.557214\pi$
$492$	−1.67059	+	2.89355i	−0.0753162	+	0.130451i
$493$	−3.17045	+	17.9805i	−0.142790	+	0.809802i
$494$	−56.3159	−	20.4973i	−2.53377	−	0.922218i
$495$	−0.363171	−	0.629030i	−0.0163233	−	0.0282728i
$496$	2.36900	+	1.98783i	0.106371	+	0.0892562i
$497$	−0.142037	−	0.119183i	−0.00637121	−	0.00534608i
$498$	−23.1590	+	8.42920i	−1.03778	+	0.377722i
$499$	−3.96103	−	22.4641i	−0.177320	−	1.00563i	−0.935432	−	0.353507i	$-0.884989\pi$
$499$	−3.96103	−	22.4641i	−0.177320	−	1.00563i	0.758112	−	0.652125i	$-0.226122\pi$
$500$	−0.462142	−	2.62094i	−0.0206676	−	0.117212i
$501$	−3.28686	+	1.19632i	−0.146846	+	0.0534475i
$502$	30.2317	+	25.3674i	1.34931	+	1.13220i
$503$	−10.9266	−	9.16847i	−0.487191	−	0.408802i	0.365827	−	0.930683i	$-0.380786\pi$
$503$	−10.9266	−	9.16847i	−0.487191	−	0.408802i	−0.853018	+	0.521881i	$0.825231\pi$
$504$	2.99484	+	5.18722i	0.133401	+	0.231057i
$505$	2.47376	+	0.900374i	0.110081	+	0.0400661i
$506$	2.31338	−	13.1198i	0.102842	−	0.583246i
$507$	−3.25316	+	5.63465i	−0.144478	+	0.250243i
$508$	12.1779	+	21.0928i	0.540309	+	0.935842i
$509$	14.1957	−	5.16683i	0.629215	−	0.229016i	−0.00767432	−	0.999971i	$-0.502443\pi$
$509$	14.1957	−	5.16683i	0.629215	−	0.229016i	0.636890	+	0.770955i	$0.280221\pi$
$510$	6.65704	−	11.5303i	0.294779	−	0.510572i
$511$	24.9228	−	20.9127i	1.10252	−	0.925122i
$512$	23.6249			1.04408
$513$	4.81454	−	4.03988i	0.212567	−	0.178365i
$514$	−27.5066	−	10.0116i	−1.21327	−	0.441592i
$515$	1.65895	+	9.40840i	0.0731023	+	0.414584i
$516$	−0.833839	+	4.72894i	−0.0367077	+	0.208180i
$517$	−0.0651457			−0.00286511
$518$	36.8611	−	40.9388i	1.61958	−	1.79875i
$519$	13.8739			0.608997
$520$	−1.09511	+	6.21071i	−0.0480240	+	0.272357i
$521$	2.28228	+	12.9434i	0.0999884	+	0.567063i	0.993104	+	0.117236i	$0.0374033\pi$
$521$	2.28228	+	12.9434i	0.0999884	+	0.567063i	−0.893116	+	0.449827i	$0.851486\pi$
$522$	6.00675	+	2.18628i	0.262908	+	0.0956907i
$523$	6.05966	−	5.08465i	0.264970	−	0.222336i	−0.500616	−	0.865669i	$-0.666893\pi$
$523$	6.05966	−	5.08465i	0.264970	−	0.222336i	0.765587	+	0.643333i	$0.222449\pi$
$524$	−0.172013			−0.00751444
$525$	−3.21334	+	2.69631i	−0.140242	+	0.117677i
$526$	15.8839	−	27.5118i	0.692573	−	1.19957i
$527$	8.00080	−	2.91205i	0.348520	−	0.126851i
$528$	−0.813448	−	1.40893i	−0.0354008	−	0.0613159i
$529$	−24.5849	+	42.5824i	−1.06891	+	1.85141i
$530$	−4.11049	+	23.3118i	−0.178548	+	1.01260i
$531$	11.1392	+	4.05435i	0.483402	+	0.175944i
$532$	35.0815	+	60.7630i	1.52098	+	2.63441i
$533$	4.24754	+	3.56411i	0.183981	+	0.154379i
$534$	27.5482	+	23.1157i	1.19213	+	1.00031i
$535$	−2.26794	+	0.825462i	−0.0980515	+	0.0356878i
$536$	1.06684	+	6.05032i	0.0460803	+	0.261334i
$537$	0.0848525	+	0.481222i	0.00366166	+	0.0207663i
$538$	28.2215	−	10.2718i	1.21671	−	0.442848i
$539$	−5.89551	−	4.94692i	−0.253938	−	0.213079i
$540$	−2.03873	−	1.71070i	−0.0877329	−	0.0736166i
$541$	−10.7512	−	18.6216i	−0.462228	−	0.800603i	0.536843	−	0.843682i	$-0.319617\pi$
$541$	−10.7512	−	18.6216i	−0.462228	−	0.800603i	−0.999072	+	0.0430789i	$0.986283\pi$
$542$	63.9187	+	23.2645i	2.74554	+	0.999296i
$543$	−0.965495	+	5.47560i	−0.0414334	+	0.234980i
$544$	23.7163	−	41.0778i	1.01683	−	1.76120i
$545$	−1.73810	−	3.01048i	−0.0744520	−	0.128955i
$546$	37.5866	−	13.6804i	1.60856	−	0.585467i
$547$	−12.9145	+	22.3686i	−0.552185	+	0.956413i	0.445932	+	0.895067i	$0.352872\pi$
$547$	−12.9145	+	22.3686i	−0.552185	+	0.956413i	−0.998117	+	0.0613454i	$0.980461\pi$
$548$	43.2307	−	36.2748i	1.84672	−	1.54958i
$549$	4.60248			0.196429
$550$	−1.20130	+	1.00801i	−0.0512236	+	0.0429817i
$551$	17.4857	+	6.36428i	0.744916	+	0.271127i
$552$	−2.10644	−	11.9462i	−0.0896562	−	0.508466i
$553$	−10.6651	+	60.4849i	−0.453527	+	2.57208i
$554$	−18.8715			−0.801775
$555$	−2.27861	+	5.63985i	−0.0967217	+	0.239398i
$556$	48.1424			2.04169
$557$	3.39715	−	19.2662i	0.143942	−	0.816335i	−0.824269	−	0.566199i	$-0.808413\pi$
$557$	3.39715	−	19.2662i	0.143942	−	0.816335i	0.968211	−	0.250136i	$-0.0804754\pi$
$558$	−0.517631	−	2.93563i	−0.0219131	−	0.124275i
$559$	7.48825	+	2.72550i	0.316719	+	0.115276i
$560$	−7.19739	+	6.03932i	−0.304145	+	0.255208i
$561$	−4.47915			−0.189110
$562$	21.5532	−	18.0853i	0.909169	−	0.762883i
$563$	9.04995	−	15.6750i	0.381410	−	0.660622i	−0.609854	−	0.792514i	$-0.708772\pi$
$563$	9.04995	−	15.6750i	0.381410	−	0.660622i	0.991264	+	0.131892i	$0.0421053\pi$
$564$	−0.224304	+	0.0816398i	−0.00944488	+	0.00343766i
$565$	−7.88236	−	13.6526i	−0.331613	−	0.574371i
$566$	23.2679	−	40.3012i	0.978022	−	1.69398i
$567$	−0.728404	+	4.13099i	−0.0305901	+	0.173485i
$568$	−0.0593105	−	0.0215872i	−0.00248861	−	0.000905780i
$569$	−5.01523	−	8.68663i	−0.210249	−	0.364163i	0.741543	−	0.670905i	$-0.234094\pi$
$569$	−5.01523	−	8.68663i	−0.210249	−	0.364163i	−0.951793	+	0.306743i	$0.900761\pi$
$570$	−10.3947	−	8.72218i	−0.435386	−	0.365332i
$571$	−21.5296	−	18.0654i	−0.900984	−	0.756015i	0.0693984	−	0.997589i	$-0.477892\pi$
$571$	−21.5296	−	18.0654i	−0.900984	−	0.756015i	−0.970383	+	0.241574i	$0.922336\pi$
$572$	8.02269	−	2.92002i	0.335446	−	0.122092i
$573$	3.21900	+	18.2559i	0.134476	+	0.762650i
$574$	−1.97435	−	11.1971i	−0.0824079	−	0.467359i
$575$	7.98296	−	2.90556i	0.332912	−	0.121170i
$576$	−9.28971	−	7.79499i	−0.387071	−	0.324791i
$577$	−36.2831	−	30.4452i	−1.51049	−	1.26745i	−0.862805	−	0.505536i	$-0.831295\pi$
$577$	−36.2831	−	30.4452i	−1.51049	−	1.26745i	−0.647681	−	0.761912i	$-0.724261\pi$
$578$	−22.7004	−	39.3183i	−0.944214	−	1.63543i
$579$	−21.1264	−	7.68938i	−0.877983	−	0.319560i
$580$	1.36827	−	7.75985i	0.0568144	−	0.322210i
$581$	23.9414	−	41.4678i	0.993259	−	1.72037i
$582$	−2.39163	−	4.14242i	−0.0991361	−	0.171709i
$583$	7.48331	−	2.72370i	0.309927	−	0.112804i
$584$	5.53747	−	9.59118i	0.229142	−	0.396886i
$585$	−3.38331	+	2.83893i	−0.139883	+	0.117375i
$586$	46.5005			1.92092
$587$	32.7457	−	27.4769i	1.35156	−	1.13409i	0.373071	−	0.927803i	$-0.378305\pi$
$587$	32.7457	−	27.4769i	1.35156	−	1.13409i	0.978491	−	0.206292i	$-0.0661396\pi$
$588$	−26.4983	−	9.64458i	−1.09277	−	0.397736i
$589$	−1.50683	−	8.54566i	−0.0620879	−	0.352118i
$590$	4.44423	−	25.2045i	0.182966	−	1.03765i
$591$	16.4977			0.678624
$592$	−5.10374	+	12.6324i	−0.209763	+	0.519189i
$593$	−9.83383			−0.403827			−0.201913	−	0.979403i	$-0.564716\pi$
$593$	−9.83383			−0.403827			−0.201913	+	0.979403i	$0.564716\pi$
$594$	−0.272313	+	1.54436i	−0.0111731	+	0.0633660i
$595$	4.49187	+	25.4746i	0.184149	+	1.04436i
$596$	−17.3922	−	6.33023i	−0.712410	−	0.259296i
$597$	10.7877	−	9.05193i	0.441510	−	0.370471i
$598$	−81.0070			−3.31262
$599$	27.4154	−	23.0043i	1.12016	−	0.939930i	0.121552	−	0.992585i	$-0.461213\pi$
$599$	27.4154	−	23.0043i	1.12016	−	0.939930i	0.998613	+	0.0526552i	$0.0167684\pi$
$600$	−0.713956	+	1.23661i	−0.0291471	+	0.0504843i
$601$	19.7306	−	7.18136i	0.804829	−	0.292934i	0.0933431	−	0.995634i	$-0.470245\pi$
$601$	19.7306	−	7.18136i	0.804829	−	0.292934i	0.711486	+	0.702700i	$0.248022\pi$
$602$	−8.17026	−	14.1513i	−0.332995	−	0.576764i
$603$	−2.15127	+	3.72611i	−0.0876066	+	0.151739i
$604$	4.32199	−	24.5112i	0.175859	−	0.997347i
$605$	−9.84086	−	3.58178i	−0.400088	−	0.145620i
$606$	−2.84183	−	4.92220i	−0.115442	−	0.199951i
$607$	15.6232	+	13.1094i	0.634127	+	0.532096i	0.902208	−	0.431301i	$-0.141945\pi$
$607$	15.6232	+	13.1094i	0.634127	+	0.532096i	−0.268081	+	0.963396i	$0.586390\pi$
$608$	−37.0320	−	31.0735i	−1.50185	−	1.26020i
$609$	−11.6704	+	4.24767i	−0.472907	+	0.172124i
$610$	−1.72552	−	9.78589i	−0.0698641	−	0.396219i
$611$	0.0687865	+	0.390107i	0.00278280	+	0.0157821i
$612$	−15.4222	+	5.61321i	−0.623404	+	0.226901i
$613$	−9.84889	−	8.26420i	−0.397793	−	0.333788i	0.421847	−	0.906667i	$-0.361382\pi$
$613$	−9.84889	−	8.26420i	−0.397793	−	0.333788i	−0.819640	+	0.572879i	$0.805826\pi$
$614$	15.2878	+	12.8280i	0.616966	+	0.517696i
$615$	0.627719	+	1.08724i	0.0253121	+	0.0438418i
$616$	−4.08819	−	1.48798i	−0.164718	−	0.0599524i
$617$	−1.01998	+	5.78457i	−0.0410627	+	0.232878i	−0.998431	−	0.0559911i	$-0.982168\pi$
$617$	−1.01998	+	5.78457i	−0.0410627	+	0.232878i	0.957369	+	0.288869i	$0.0932793\pi$
$618$	10.3131	−	17.8629i	0.414856	−	0.718551i
$619$	12.5121	+	21.6716i	0.502905	+	0.871057i	0.999994	+	0.00335761i	$0.00106876\pi$
$619$	12.5121	+	21.6716i	0.502905	+	0.871057i	−0.497089	+	0.867699i	$0.665598\pi$
$620$	−3.45290	+	1.25675i	−0.138672	+	0.0504725i
$621$	4.24764	−	7.35713i	0.170452	−	0.295232i
$622$	12.1712	−	10.2128i	0.488020	−	0.409498i
$623$	−69.8691			−2.79925
$624$	−7.57810	+	6.35878i	−0.303367	+	0.254555i
$625$	−0.939693	−	0.342020i	−0.0375877	−	0.0136808i
$626$	4.64448	+	26.3401i	0.185631	+	1.05276i
$627$	−0.792706	+	4.49566i	−0.0316576	+	0.179539i
$628$	54.5179			2.17550
$629$	23.0941	+	29.5587i	0.920820	+	1.17858i
$630$	9.05647			0.360819
$631$	−5.30499	+	30.0861i	−0.211188	+	1.19771i	0.676212	+	0.736707i	$0.263620\pi$
$631$	−5.30499	+	30.0861i	−0.211188	+	1.19771i	−0.887400	+	0.461000i	$0.847491\pi$
$632$	3.63049	+	20.5895i	0.144413	+	0.819008i
$633$	−10.7302	−	3.90547i	−0.426486	−	0.155228i
$634$	−16.9500	+	14.2227i	−0.673170	+	0.564857i
$635$	9.15163			0.363171
$636$	22.3525	−	18.7560i	0.886335	−	0.743723i
$637$	−23.3983	+	40.5270i	−0.927074	+	1.60574i
$638$	−4.36295	+	1.58798i	−0.172731	+	0.0628689i
$639$	−0.0221011	−	0.0382802i	−0.000874306	−	0.00151434i
$640$	−5.39936	+	9.35196i	−0.213428	+	0.369669i
$641$	3.60575	−	20.4492i	0.142419	−	0.807696i	−0.826985	−	0.562224i	$-0.809946\pi$
$641$	3.60575	−	20.4492i	0.142419	−	0.807696i	0.969404	−	0.245472i	$-0.0789430\pi$
$642$	4.89653	+	1.78219i	0.193250	+	0.0703374i
$643$	4.19548	+	7.26678i	0.165453	+	0.286574i	0.936816	−	0.349822i	$-0.113758\pi$
$643$	4.19548	+	7.26678i	0.165453	+	0.286574i	−0.771363	+	0.636396i	$0.780425\pi$
$644$	72.6507	+	60.9612i	2.86284	+	2.40221i
$645$	1.38217	+	1.15978i	0.0544228	+	0.0456661i
$646$	−78.6317	+	28.6196i	−3.09372	+	1.12602i
$647$	−5.53518	−	31.3916i	−0.217610	−	1.23413i	−0.876319	−	0.481732i	$-0.840008\pi$
$647$	−5.53518	−	31.3916i	−0.217610	−	1.23413i	0.658708	−	0.752398i	$-0.271103\pi$
$648$	0.247954	+	1.40622i	0.00974057	+	0.0552415i
$649$	−8.09090	+	2.94485i	−0.317595	+	0.115595i
$650$	7.30464	+	6.12932i	0.286511	+	0.240412i
$651$	4.43659	+	3.72274i	0.173884	+	0.145906i
$652$	−15.5614	−	26.9531i	−0.609431	−	1.05557i
$653$	−30.3000	−	11.0283i	−1.18573	−	0.431570i	−0.327507	−	0.944849i	$-0.606208\pi$
$653$	−30.3000	−	11.0283i	−1.18573	−	0.431570i	−0.858222	+	0.513279i	$0.828431\pi$
$654$	−1.30326	+	7.39117i	−0.0509616	+	0.289017i
$655$	−0.0323167	+	0.0559742i	−0.00126272	+	0.00218709i
$656$	1.40600	+	2.43526i	0.0548949	+	0.0950808i
$657$	7.28829	−	2.65272i	0.284343	−	0.103492i
$658$	0.406138	−	0.703452i	0.0158329	−	0.0274234i
$659$	−15.8738	+	13.3197i	−0.618357	+	0.518863i	−0.897287	−	0.441448i	$-0.854465\pi$
$659$	−15.8738	+	13.3197i	−0.618357	+	0.518863i	0.278930	+	0.960312i	$0.410020\pi$
$660$	1.93306			0.0752444
$661$	30.2836	−	25.4109i	1.17789	−	0.988371i	0.177903	−	0.984048i	$-0.443069\pi$
$661$	30.2836	−	25.4109i	1.17789	−	0.988371i	0.999991	−	0.00432260i	$-0.00137593\pi$
$662$	−36.3454	−	13.2286i	−1.41260	−	0.514146i
$663$	4.72947	+	26.8222i	0.183677	+	1.04169i
$664$	2.83041	−	16.0521i	0.109841	−	0.622941i
$665$	26.3635			1.02233
$666$	11.5955	−	6.16554i	0.449318	−	0.238910i
$667$	25.1521			0.973894
$668$	1.61648	−	9.16751i	0.0625435	−	0.354702i
$669$	−1.11145	−	6.30332i	−0.0429710	−	0.243700i
$670$	8.72907	+	3.17712i	0.337233	+	0.122743i
$671$	−2.56087	+	2.14882i	−0.0988612	+	0.0829544i
$672$	32.2645			1.24463
$673$	−21.5960	+	18.1212i	−0.832465	+	0.698521i	−0.955855	−	0.293837i	$-0.905068\pi$
$673$	−21.5960	+	18.1212i	−0.832465	+	0.698521i	0.123391	+	0.992358i	$0.460623\pi$
$674$	−18.8881	+	32.7152i	−0.727544	+	1.26014i
$675$	−0.939693	+	0.342020i	−0.0361688	+	0.0131644i
$676$	−8.65788	−	14.9959i	−0.332995	−	0.576765i
$677$	−10.3646	+	17.9521i	−0.398345	+	0.689954i	−0.993522	−	0.113641i	$-0.963749\pi$
$677$	−10.3646	+	17.9521i	−0.398345	+	0.689954i	0.595177	+	0.803595i	$0.297082\pi$
$678$	−5.91035	+	33.5193i	−0.226986	+	1.28730i
$679$	8.73282	+	3.17849i	0.335135	+	0.121979i
$680$	4.40277	+	7.62582i	0.168839	+	0.292437i
$681$	16.4088	+	13.7686i	0.628787	+	0.527615i
$682$	1.65861	+	1.39174i	0.0635116	+	0.0532926i
$683$	−20.0730	+	7.30598i	−0.768073	+	0.279556i	−0.696190	−	0.717858i	$-0.745123\pi$
$683$	−20.0730	+	7.30598i	−0.768073	+	0.279556i	−0.0718826	+	0.997413i	$0.522901\pi$
$684$	2.90453	+	16.4724i	0.111058	+	0.629839i
$685$	−3.68216	−	20.8826i	−0.140688	−	0.797882i
$686$	30.5998	−	11.1374i	1.16831	−	0.425229i
$687$	−5.53909	−	4.64785i	−0.211329	−	0.177326i
$688$	3.09584	+	2.59772i	0.118028	+	0.0990372i
$689$	−24.2117	−	41.9358i	−0.922391	−	1.59763i
$690$	−17.2354	−	6.27316i	−0.656139	−	0.238815i
$691$	7.53519	−	42.7342i	0.286652	−	1.62568i	−0.412672	−	0.910880i	$-0.635404\pi$
$691$	7.53519	−	42.7342i	0.286652	−	1.62568i	0.699324	−	0.714805i	$-0.253484\pi$
$692$	−18.4618	+	31.9768i	−0.701813	+	1.21558i
$693$	−1.52340	−	2.63860i	−0.0578691	−	0.100232i
$694$	0.752348	−	0.273832i	0.0285587	−	0.0103945i
$695$	9.04465	−	15.6658i	0.343083	−	0.594238i
$696$	−3.23856	+	2.71748i	−0.122757	+	0.103006i
$697$	7.74194			0.293247
$698$	−20.5334	+	17.2296i	−0.777201	+	0.652149i
$699$	−13.6945	−	4.98439i	−0.517973	−	0.188527i
$700$	−1.93855	−	10.9941i	−0.0732705	−	0.415537i
$701$	−0.610223	+	3.46075i	−0.0230478	+	0.130711i	−0.994161	−	0.107910i	$-0.965584\pi$
$701$	−0.610223	+	3.46075i	−0.0230478	+	0.130711i	0.971113	+	0.238621i	$0.0766953\pi$
$702$	9.53552			0.359895
$703$	33.7548	−	17.9480i	1.27309	−	0.676920i
$704$	8.80824			0.331973
$705$	−0.0155745	+	0.0883276i	−0.000586571	+	0.00332661i
$706$	−0.552461	−	3.13316i	−0.0207921	−	0.117918i
$707$	10.3767	+	3.77681i	0.390256	+	0.142042i
$708$	−24.1674	+	20.2788i	−0.908265	+	0.762125i
$709$	−7.25697			−0.272541			−0.136271	−	0.990672i	$-0.543512\pi$
$709$	−7.25697			−0.272541			−0.136271	+	0.990672i	$0.543512\pi$
$710$	−0.0731062	+	0.0613434i	−0.00274363	+	0.00230218i
$711$	−7.32088	+	12.6801i	−0.274554	+	0.475542i
$712$	−22.3496	+	8.13460i	−0.837588	+	0.304857i
$713$	−5.86464	−	10.1579i	−0.219632	−	0.380415i
$714$	27.9244	−	48.3664i	1.04504	−	1.81007i
$715$	0.557056	−	3.15922i	0.0208327	−	0.118148i
$716$	−1.22204	−	0.444786i	−0.0456698	−	0.0166224i
$717$	10.8713	+	18.8296i	0.405995	+	0.703203i
$718$	41.4751	+	34.8018i	1.54784	+	1.29879i
$719$	−33.2741	−	27.9203i	−1.24092	−	1.04125i	−0.997452	−	0.0713420i	$-0.977272\pi$
$719$	−33.2741	−	27.9203i	−1.24092	−	1.04125i	−0.243464	−	0.969910i	$-0.578284\pi$
$720$	−2.10477	+	0.766073i	−0.0784401	+	0.0285499i
$721$	6.95884	+	39.4655i	0.259161	+	1.46977i
$722$	7.68580	+	43.5884i	0.286036	+	1.62219i
$723$	27.1324	−	9.87537i	1.00906	−	0.367269i
$724$	−11.3355	−	9.51158i	−0.421279	−	0.353495i
$725$	−2.26804	−	1.90311i	−0.0842329	−	0.0706798i
$726$	11.3051	+	19.5810i	0.419571	+	0.726719i
$727$	−12.7568	−	4.64310i	−0.473124	−	0.172203i	0.0944430	−	0.995530i	$-0.469893\pi$
$727$	−12.7568	−	4.64310i	−0.473124	−	0.172203i	−0.567567	+	0.823327i	$0.692115\pi$
$728$	−4.59369	+	26.0521i	−0.170254	+	0.965556i
$729$	−0.500000	+	0.866025i	−0.0185185	+	0.0320750i
$730$	−8.37272	−	14.5020i	−0.309888	−	0.536742i
$731$	10.4556	−	3.80551i	0.386712	−	0.140752i
$732$	−6.12446	+	10.6079i	−0.226366	+	0.392078i
$733$	14.3281	−	12.0227i	0.529219	−	0.444068i	−0.338612	−	0.940926i	$-0.609958\pi$
$733$	14.3281	−	12.0227i	0.529219	−	0.444068i	0.867832	+	0.496858i	$0.165513\pi$
$734$	−33.7969			−1.24747
$735$	−8.11672	+	6.81074i	−0.299390	+	0.251218i
$736$	−61.4025	−	22.3487i	−2.26333	−	0.823784i
$737$	−0.542671	−	3.07764i	−0.0199895	−	0.113366i
$738$	0.470677	−	2.66934i	0.0173258	−	0.0982597i
$739$	−11.0130			−0.405119			−0.202560	−	0.979270i	$-0.564926\pi$
$739$	−11.0130			−0.405119			−0.202560	+	0.979270i	$0.564926\pi$
$740$	−9.96670	−	12.7566i	−0.366383	−	0.468944i
$741$	27.7580			1.01972
$742$	−17.2423	+	97.7862i	−0.632986	+	3.58984i
$743$	−3.37416	−	19.1358i	−0.123786	−	0.702026i	−0.982021	−	0.188769i	$-0.939550\pi$
$743$	−3.37416	−	19.1358i	−0.123786	−	0.702026i	0.858235	−	0.513256i	$-0.171561\pi$
$744$	1.85260	+	0.674290i	0.0679195	+	0.0247207i
$745$	−5.32741	+	4.47023i	−0.195181	+	0.163776i
$746$	−0.0346684			−0.00126930
$747$	8.74444	−	7.33746i	0.319942	−	0.268464i
$748$	5.96034	−	10.3236i	0.217931	−	0.377468i
$749$	−9.51335	+	3.46258i	−0.347610	+	0.126520i
$750$	1.07951	+	1.86977i	0.0394181	+	0.0682742i
$751$	−16.9538	+	29.3649i	−0.618654	+	1.07154i	0.371077	+	0.928602i	$0.378988\pi$
$751$	−16.9538	+	29.3649i	−0.618654	+	1.07154i	−0.989732	+	0.142938i	$0.954345\pi$
$752$	−0.0348846	+	0.197840i	−0.00127211	+	0.00721450i
$753$	−17.1766	−	6.25178i	−0.625951	−	0.227828i
$754$	14.1160	+	24.4496i	0.514074	+	0.890402i
$755$	−7.16411	−	6.01140i	−0.260729	−	0.218777i
$756$	−8.55188	−	7.17588i	−0.311029	−	0.260984i
$757$	−12.0917	+	4.40101i	−0.439480	+	0.159958i	−0.552277	−	0.833660i	$-0.686241\pi$
$757$	−12.0917	+	4.40101i	−0.439480	+	0.159958i	0.112798	+	0.993618i	$0.464019\pi$
$758$	−0.807025	−	4.57687i	−0.0293125	−	0.166239i
$759$	1.07149	+	6.07674i	0.0388927	+	0.220572i
$760$	8.43312	−	3.06940i	0.305901	−	0.111339i
$761$	−0.198946	−	0.166936i	−0.00721179	−	0.00605141i	0.639175	−	0.769062i	$-0.279276\pi$
$761$	−0.198946	−	0.166936i	−0.00721179	−	0.00605141i	−0.646386	+	0.763010i	$0.723721\pi$
$762$	−15.1359	−	12.7006i	−0.548317	−	0.460092i
$763$	−7.29083	−	12.6281i	−0.263946	−	0.457167i
$764$	−46.3599	−	16.8736i	−1.67724	−	0.610466i
$765$	−1.07084	+	6.07304i	−0.0387163	+	0.219571i
$766$	3.30894	−	5.73125i	0.119557	−	0.207078i
$767$	26.1775	+	45.3407i	0.945213	+	1.63716i
$768$	−0.882416	+	0.321173i	−0.0318415	+	0.0115893i
$769$	0.0462378	−	0.0800862i	0.00166738	−	0.00288798i	−0.865191	−	0.501443i	$-0.832803\pi$
$769$	0.0462378	−	0.0800862i	0.00166738	−	0.00288798i	0.866858	+	0.498555i	$0.166136\pi$
$770$	−5.03911	+	4.22832i	−0.181597	+	0.152378i
$771$	13.5580			0.488278
$772$	45.8352	−	38.4603i	1.64964	−	1.38422i
$773$	12.6698	+	4.61143i	0.455701	+	0.165861i	0.559664	−	0.828720i	$-0.310930\pi$
$773$	12.6698	+	4.61143i	0.455701	+	0.165861i	−0.103963	+	0.994581i	$0.533152\pi$
$774$	−0.676447	−	3.83632i	−0.0243144	−	0.137894i
$775$	−0.239753	+	1.35971i	−0.00861217	+	0.0488421i
$776$	3.16350			0.113563
$777$	−9.55813	+	23.6576i	−0.342896	+	0.848710i
$778$	7.52159			0.269662
$779$	1.37014	−	7.77048i	0.0490905	−	0.278406i
$780$	−2.04110	−	11.5756i	−0.0730829	−	0.414474i
$781$	0.0301697	+	0.0109809i	0.00107956	+	0.000392926i
$782$	−86.6449	+	72.7037i	−3.09842	+	2.59988i
$783$	−2.96071			−0.105807
$784$	−18.1802	+	15.2550i	−0.649293	+	0.544822i
$785$	10.2425	−	17.7405i	0.365569	−	0.633184i
$786$	0.131129	−	0.0477271i	0.00467723	−	0.00170237i
$787$	1.96508	+	3.40362i	0.0700475	+	0.121326i	0.898922	−	0.438109i	$-0.144352\pi$
$787$	1.96508	+	3.40362i	0.0700475	+	0.121326i	−0.828874	+	0.559435i	$0.811018\pi$
$788$	−21.9532	+	38.0241i	−0.782051	+	1.35455i
$789$	−2.55506	+	14.4905i	−0.0909627	+	0.515875i
$790$	29.7054	+	10.8119i	1.05687	+	0.384670i
$791$	−33.0642	−	57.2689i	−1.17563	−	2.03625i
$792$	−0.794505	−	0.666669i	−0.0282315	−	0.0236891i
$793$	15.5716	+	13.0661i	0.552965	+	0.463992i
$794$	77.4468	−	28.1883i	2.74848	−	1.00037i
$795$	−1.90387	−	10.7974i	−0.0675233	−	0.382944i
$796$	6.50803	+	36.9089i	0.230671	+	1.30820i
$797$	49.7133	−	18.0942i	1.76093	−	0.640928i	0.760966	−	0.648792i	$-0.224726\pi$
$797$	49.7133	−	18.0942i	1.76093	−	0.640928i	0.999969	+	0.00786420i	$0.00250328\pi$
$798$	−43.6027	−	36.5870i	−1.54352	−	1.29517i
$799$	0.423695	+	0.355522i	0.0149892	+	0.0125775i
$800$	3.84585	+	6.66121i	0.135971	+	0.235509i
$801$	−15.6520	−	5.69685i	−0.553035	−	0.201288i
$802$	−4.30959	+	24.4409i	−0.152177	+	0.863038i
$803$	−2.81677	+	4.87878i	−0.0994015	+	0.172169i
$804$	−5.72533	−	9.91657i	−0.201917	−	0.349730i
$805$	33.4862	−	12.1880i	1.18023	−	0.429570i
$806$	6.58276	−	11.4017i	0.231868	−	0.401607i
$807$	−10.6559	+	8.94138i	−0.375106	+	0.314751i
$808$	3.75901			0.132241
$809$	−3.03570	+	2.54726i	−0.106730	+	0.0895569i	−0.694591	−	0.719405i	$-0.744415\pi$
$809$	−3.03570	+	2.54726i	−0.106730	+	0.0895569i	0.587861	+	0.808962i	$0.299970\pi$
$810$	2.02882	+	0.738429i	0.0712853	+	0.0259457i
$811$	3.44097	+	19.5147i	0.120829	+	0.685255i	0.983698	+	0.179828i	$0.0575540\pi$
$811$	3.44097	+	19.5147i	0.120829	+	0.685255i	−0.862869	+	0.505427i	$0.831335\pi$
$812$	5.73951	−	32.5504i	0.201417	−	1.14229i
$813$	−31.5054			−1.10494
$814$	−3.57329	+	8.84434i	−0.125244	+	0.309994i
$815$	−11.6943			−0.409632
$816$	−2.39852	+	13.6027i	−0.0839650	+	0.476189i
$817$	−1.96914	−	11.1676i	−0.0688917	−	0.390704i
$818$	49.3236	+	17.9523i	1.72456	+	0.627689i
$819$	−14.1920	+	11.9085i	−0.495909	+	0.416117i
$820$	−3.34119			−0.116679
$821$	−30.6682	+	25.7337i	−1.07033	+	0.898112i	−0.995082	−	0.0990526i	$-0.968419\pi$
$821$	−30.6682	+	25.7337i	−1.07033	+	0.898112i	−0.0752464	+	0.997165i	$0.523974\pi$
$822$	−22.8907	+	39.6479i	−0.798405	+	1.38288i
$823$	34.6217	−	12.6013i	1.20684	−	0.439253i	0.341231	−	0.939979i	$-0.389156\pi$
$823$	34.6217	−	12.6013i	1.20684	−	0.439253i	0.865605	+	0.500727i	$0.166934\pi$
$824$	6.82081	+	11.8140i	0.237614	+	0.411560i
$825$	0.363171	−	0.629030i	0.0126440	−	0.0219000i
$826$	18.6423	−	105.726i	0.648648	−	3.67867i
$827$	−13.0183	−	4.73826i	−0.452689	−	0.164765i	0.105605	−	0.994408i	$-0.466322\pi$
$827$	−13.0183	−	4.73826i	−0.452689	−	0.164765i	−0.558295	+	0.829643i	$0.688544\pi$
$828$	11.3046	+	19.5801i	0.392860	+	0.680454i
$829$	31.2477	+	26.2200i	1.08528	+	0.910657i	0.996348	−	0.0853813i	$-0.0272109\pi$
$829$	31.2477	+	26.2200i	1.08528	+	0.910657i	0.0889299	+	0.996038i	$0.471655\pi$
$830$	−18.8794	−	15.8417i	−0.655315	−	0.549874i
$831$	8.21365	−	2.98953i	0.284929	−	0.103706i
$832$	−9.30050	−	52.7457i	−0.322437	−	1.82863i
$833$	11.3462	+	64.3476i	0.393123	+	2.22951i
$834$	−36.6999	+	13.3577i	−1.27081	+	0.462538i
$835$	−2.67947	−	2.24834i	−0.0927268	−	0.0778071i
$836$	−9.30682	−	7.80935i	−0.321883	−	0.270092i
$837$	0.690340	+	1.19570i	0.0238617	+	0.0413296i
$838$	23.4983	+	8.55268i	0.811735	+	0.295447i
$839$	−3.85276	+	21.8501i	−0.133012	+	0.754349i	0.843211	+	0.537582i	$0.180662\pi$
$839$	−3.85276	+	21.8501i	−0.133012	+	0.754349i	−0.976223	+	0.216767i	$0.930449\pi$
$840$	−2.99484	+	5.18722i	−0.103332	+	0.178976i
$841$	10.1171	+	17.5233i	0.348865	+	0.604252i
$842$	−46.6878	+	16.9930i	−1.60897	+	0.585616i
$843$	−6.51586	+	11.2858i	−0.224418	+	0.388704i
$844$	23.2799	−	19.5341i	0.801326	−	0.672393i
$845$	−6.50633			−0.223825
$846$	0.148339	−	0.124471i	0.00510000	−	0.00427941i
$847$	−41.2796	−	15.0245i	−1.41838	−	0.516250i
$848$	−4.26438	−	24.1845i	−0.146439	−	0.830499i
$849$	−3.74283	+	21.2267i	−0.128454	+	0.728497i
$850$	13.3141			0.456669
$851$	34.5770	−	38.4021i	1.18528	−	1.31641i
$852$	0.117638			0.00403022
$853$	2.34306	−	13.2881i	0.0802248	−	0.454978i	−0.918060	−	0.396440i	$-0.870245\pi$
$853$	2.34306	−	13.2881i	0.0802248	−	0.454978i	0.998285	−	0.0585370i	$-0.0186436\pi$
$854$	−7.23805	−	41.0490i	−0.247681	−	1.40467i
$855$	5.90591	+	2.14957i	0.201978	+	0.0735139i
$856$	−2.63998	+	2.21521i	−0.0902328	+	0.0757143i
$857$	22.3629			0.763902			0.381951	−	0.924182i	$-0.375252\pi$
$857$	22.3629			0.763902			0.381951	+	0.924182i	$0.375252\pi$
$858$	−5.30566	+	4.45198i	−0.181132	+	0.151988i
$859$	−2.94711	+	5.10454i	−0.100554	+	0.174165i	−0.911913	−	0.410383i	$-0.865395\pi$
$859$	−2.94711	+	5.10454i	−0.100554	+	0.174165i	0.811359	+	0.584548i	$0.198728\pi$
$860$	−4.51230	+	1.64234i	−0.153868	+	0.0560034i
$861$	2.63310	+	4.56067i	0.0897359	+	0.155427i
$862$	−19.5989	+	33.9462i	−0.667540	+	1.15621i
$863$	−5.03192	+	28.5375i	−0.171289	+	0.971426i	0.771052	+	0.636772i	$0.219731\pi$
$863$	−5.03192	+	28.5375i	−0.171289	+	0.971426i	−0.942341	+	0.334654i	$0.891380\pi$
$864$	7.22784	+	2.63072i	0.245896	+	0.0894988i
$865$	6.93696	+	12.0152i	0.235864	+	0.408528i
$866$	22.7922	+	19.1249i	0.774509	+	0.649890i
$867$	16.1087	+	13.5168i	0.547081	+	0.459056i
$868$	−14.4839	+	5.27172i	−0.491617	+	0.178934i
$869$	−1.84673	−	10.4734i	−0.0626462	−	0.355284i
$870$	1.11000	+	6.29513i	0.0376326	+	0.213425i
$871$	−17.8566	+	6.49927i	−0.605048	+	0.220220i
$872$	−3.80242	−	3.19061i	−0.128766	−	0.108048i
$873$	1.69715	+	1.42408i	0.0574399	+	0.0481978i
$874$	57.6376	+	99.8312i	1.94962	+	3.37684i
$875$	−3.94174	−	1.43468i	−0.133255	−	0.0485009i
$876$	−3.58439	+	20.3281i	−0.121105	+	0.686823i
$877$	18.5652	−	32.1558i	0.626901	−	1.08582i	−0.361269	−	0.932462i	$-0.617656\pi$
$877$	18.5652	−	32.1558i	0.626901	−	1.08582i	0.988170	−	0.153363i	$-0.0490104\pi$
$878$	−2.67633	−	4.63554i	−0.0903217	−	0.156442i
$879$	−20.2389	+	7.36635i	−0.682640	+	0.248461i
$880$	0.813448	−	1.40893i	0.0274213	−	0.0474951i
$881$	−33.8711	+	28.4212i	−1.14114	+	0.957534i	−0.999476	−	0.0323798i	$-0.989691\pi$
$881$	−33.8711	+	28.4212i	−1.14114	+	0.957534i	−0.141669	+	0.989914i	$0.545247\pi$
$882$	22.8762			0.770281
$883$	35.3749	−	29.6830i	1.19046	−	0.998914i	0.190608	−	0.981666i	$-0.438954\pi$
$883$	35.3749	−	29.6830i	1.19046	−	0.998914i	0.999851	−	0.0172475i	$-0.00549034\pi$
$884$	−68.1135	−	24.7913i	−2.29091	−	0.833821i
$885$	2.05845	+	11.6740i	0.0691940	+	0.392419i
$886$	7.33074	−	41.5747i	0.246281	−	1.39673i
$887$	7.88425			0.264727			0.132364	−	0.991201i	$-0.457743\pi$
$887$	7.88425			0.264727			0.132364	+	0.991201i	$0.457743\pi$
$888$	−0.303078	+	8.68037i	−0.0101706	+	0.291294i
$889$	38.3885			1.28751
$890$	−6.24467	+	35.4153i	−0.209322	+	1.18712i
$891$	−0.126128	−	0.715307i	−0.00422544	−	0.0239637i
$892$	16.0070	+	5.82606i	0.535953	+	0.195071i
$893$	0.431817	−	0.362337i	0.0144502	−	0.0121252i
$894$	15.0148			0.502169
$895$	−0.374325	+	0.314096i	−0.0125123	+	0.0104991i
$896$	−22.6488	+	39.2288i	−0.756642	+	1.31054i
$897$	35.2575	−	12.8327i	1.17721	−	0.428471i
$898$	0.886338	+	1.53518i	0.0295775	+	0.0512297i
$899$	−2.04390	+	3.54014i	−0.0681679	+	0.118070i
$900$	0.462142	−	2.62094i	0.0154047	−	0.0873646i
$901$	−63.5341	−	23.1245i	−2.11663	−	0.770390i
$902$	0.984381	+	1.70500i	0.0327763	+	0.0567702i
$903$	5.79780	+	4.86493i	0.192939	+	0.161895i
$904$	−17.2442	−	14.4696i	−0.573532	−	0.481250i
$905$	−5.22475	+	1.90165i	−0.173677	+	0.0632131i
$906$	3.50619	+	19.8846i	0.116485	+	0.660621i
$907$	−2.30076	−	13.0483i	−0.0763956	−	0.433261i	−0.998884	−	0.0472355i	$-0.984959\pi$
$907$	−2.30076	−	13.0483i	−0.0763956	−	0.433261i	0.922488	−	0.386025i	$-0.126152\pi$
$908$	−53.5691	+	19.4976i	−1.77775	+	0.647049i
$909$	2.01663	+	1.69215i	0.0668873	+	0.0561251i
$910$	30.6409	+	25.7107i	1.01573	+	0.852302i
$911$	6.79675	+	11.7723i	0.225186	+	0.390034i	0.956375	−	0.292141i	$-0.0943676\pi$
$911$	6.79675	+	11.7723i	0.225186	+	0.390034i	−0.731189	+	0.682175i	$0.761034\pi$
$912$	13.2283	+	4.81472i	0.438034	+	0.159431i
$913$	−1.43976	+	8.16527i	−0.0476490	+	0.270231i
$914$	5.31919	−	9.21311i	0.175943	−	0.304743i
$915$	2.30124	+	3.98587i	0.0760767	+	0.131769i
$916$	18.0832	−	6.58175i	0.597486	−	0.217467i
$917$	−0.135559	+	0.234796i	−0.00447656	+	0.00775363i
$918$	10.1992	−	8.55813i	0.336623	−	0.282460i
$919$	−37.4993			−1.23699			−0.618493	−	0.785790i	$-0.712257\pi$
$919$	−37.4993			−1.23699			−0.618493	+	0.785790i	$0.712257\pi$
$920$	9.29252	−	7.79735i	0.306365	−	0.257071i
$921$	−8.68602	−	3.16145i	−0.286214	−	0.104173i
$922$	11.9058	+	67.5212i	0.392097	+	2.22369i
$923$	0.0339002	−	0.192257i	0.00111584	−	0.00632823i
$924$	8.10865			0.266755
$925$	−6.02356	+	0.846590i	−0.198053	+	0.0278357i
$926$	34.5355			1.13491
$927$	−1.65895	+	9.40840i	−0.0544872	+	0.309012i
$928$	3.95448	+	22.4270i	0.129812	+	0.736201i
$929$	−35.7817	−	13.0235i	−1.17396	−	0.427286i	−0.319894	−	0.947453i	$-0.603647\pi$
$929$	−35.7817	−	13.0235i	−1.17396	−	0.427286i	−0.854065	+	0.520167i	$0.825870\pi$
$930$	2.28352	−	1.91610i	0.0748795	−	0.0628313i
$931$	66.5928			2.18249
$932$	29.7111	−	24.9306i	0.973221	−	0.816629i
$933$	−3.67953	+	6.37313i	−0.120462	+	0.208647i
$934$	16.0194	−	5.83058i	0.524170	−	0.190782i
$935$	−2.23957	−	3.87906i	−0.0732419	−	0.126859i
$936$	−3.15326	+	5.46160i	−0.103067	+	0.178518i
$937$	8.08728	−	45.8653i	0.264200	−	1.49835i	−0.507103	−	0.861885i	$-0.669284\pi$
$937$	8.08728	−	45.8653i	0.264200	−	1.49835i	0.771303	−	0.636468i	$-0.219605\pi$
$938$	36.6160	+	13.3271i	1.19555	+	0.435146i
$939$	−6.19412	−	10.7285i	−0.202138	−	0.350113i
$940$	−0.182854	−	0.153433i	−0.00596404	−	0.00500442i
$941$	−3.74824	−	3.14514i	−0.122189	−	0.102529i	0.579646	−	0.814869i	$-0.303191\pi$
$941$	−3.74824	−	3.14514i	−0.122189	−	0.102529i	−0.701835	+	0.712340i	$0.747635\pi$
$942$	−41.5601	+	15.1266i	−1.35410	+	0.492853i
$943$	−1.85201	−	10.5033i	−0.0603098	−	0.342034i
$944$	4.61061	+	26.1481i	0.150063	+	0.851047i
$945$	−3.94174	+	1.43468i	−0.128225	+	0.0466700i
$946$	2.16750	+	1.81875i	0.0704714	+	0.0591325i
$947$	23.8110	+	19.9798i	0.773754	+	0.649257i	0.941667	−	0.336545i	$-0.109258\pi$
$947$	23.8110	+	19.9798i	0.773754	+	0.649257i	−0.167913	+	0.985802i	$0.553703\pi$
$948$	−19.4836	−	33.7465i	−0.632797	−	1.09604i
$949$	32.1894	+	11.7160i	1.04491	+	0.380317i
$950$	2.35628	−	13.3632i	0.0764480	−	0.433558i
$951$	5.12423	−	8.87543i	0.166165	−	0.287806i
$952$	18.4684	+	31.9881i	0.598563	+	1.03674i
$953$	8.29945	−	3.02075i	0.268845	−	0.0978517i	−0.204080	−	0.978954i	$-0.565420\pi$
$953$	8.29945	−	3.02075i	0.268845	−	0.0978517i	0.472925	+	0.881102i	$0.343198\pi$
$954$	−11.8357	+	20.5000i	−0.383195	+	0.663713i
$955$	−14.2005	+	11.9157i	−0.459519	+	0.385582i
$956$	−57.8649			−1.87148
$957$	1.64737	−	1.38231i	0.0532520	−	0.0446837i
$958$	−16.5085	−	6.00862i	−0.533367	−	0.194130i
$959$	−15.4456	−	87.5964i	−0.498765	−	2.82864i
$960$	2.10581	−	11.9426i	0.0679646	−	0.385446i
$961$	−29.0937			−0.938507
$962$	56.7349	+	12.0591i	1.82921	+	0.388800i
$963$	−2.41349			−0.0777736
$964$	−13.3437	+	75.6760i	−0.429773	+	2.43736i
$965$	−3.90400	−	22.1407i	−0.125674	−	0.712734i
$966$	−72.2974	−	26.3141i	−2.32613	−	0.846643i
$967$	−18.5721	+	15.5839i	−0.597239	+	0.501143i	−0.890557	−	0.454872i	$-0.849685\pi$
$967$	−18.5721	+	15.5839i	−0.597239	+	0.501143i	0.293318	+	0.956015i	$0.405241\pi$
$968$	−14.9537			−0.480631
$969$	29.6899	−	24.9128i	0.953778	−	0.800315i
$970$	2.39163	−	4.14242i	0.0767905	−	0.133005i
$971$	−5.59999	+	2.03823i	−0.179712	+	0.0654099i	−0.430309	−	0.902682i	$-0.641595\pi$
$971$	−5.59999	+	2.03823i	−0.179712	+	0.0654099i	0.250597	+	0.968092i	$0.419373\pi$
$972$	−1.33069	−	2.30481i	−0.0426818	−	0.0739270i
$973$	37.9397	−	65.7135i	1.21629	−	2.10668i
$974$	−8.11247	+	46.0081i	−0.259940	+	1.47419i
$975$	−4.15024	−	1.51057i	−0.132914	−	0.0483768i
$976$	5.15443	+	8.92773i	0.164989	+	0.285770i
$977$	−16.1085	−	13.5166i	−0.515355	−	0.432434i	0.347654	−	0.937623i	$-0.386978\pi$
$977$	−16.1085	−	13.5166i	−0.515355	−	0.432434i	−0.863009	+	0.505189i	$0.831423\pi$
$978$	19.3412	+	16.2292i	0.618464	+	0.518953i
$979$	11.3687	−	4.13786i	0.363344	−	0.132246i
$980$	−4.89668	−	27.7705i	−0.156419	−	0.887095i
$981$	−0.603636	−	3.42339i	−0.0192726	−	0.109300i
$982$	68.5739	−	24.9589i	2.18828	−	0.796470i
$983$	−12.1360	−	10.1833i	−0.387078	−	0.324797i	0.428395	−	0.903591i	$-0.359079\pi$
$983$	−12.1360	−	10.1833i	−0.387078	−	0.324797i	−0.815474	+	0.578794i	$0.803524\pi$
$984$	1.37326	+	1.15230i	0.0437778	+	0.0367339i
$985$	8.24884	+	14.2874i	0.262830	+	0.455235i
$986$	37.0419	+	13.4822i	1.17966	+	0.429359i
$987$	−0.0653307	+	0.370509i	−0.00207950	+	0.0117934i
$988$	−36.9372	+	63.9771i	−1.17513	+	2.03538i
$989$	−7.66399	−	13.2744i	−0.243701	−	0.422102i
$990$	−1.47361	+	0.536352i	−0.0468345	+	0.0170464i
$991$	17.1238	−	29.6594i	0.543957	−	0.942161i	−0.454715	−	0.890637i	$-0.650259\pi$
$991$	17.1238	−	29.6594i	0.543957	−	0.942161i	0.998672	−	0.0515236i	$-0.0164077\pi$
$992$	8.13523	−	6.82627i	0.258294	−	0.216734i
$993$	17.9146			0.568502
$994$	−0.306660	+	0.257318i	−0.00972666	+	0.00816163i
$995$	13.2330	+	4.81643i	0.419516	+	0.152691i
$996$	5.27538	+	29.9182i	0.167157	+	0.947993i
$997$	0.299541	−	1.69878i	0.00948657	−	0.0538010i	−0.979697	−	0.200484i	$-0.935749\pi$
$997$	0.299541	−	1.69878i	0.00948657	−	0.0538010i	0.989184	+	0.146683i	$0.0468597\pi$
$998$	−49.2487			−1.55894
$999$	−4.07014	+	4.52040i	−0.128773	+	0.143019i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	555.2.bc.d.181.5	yes	36
37.9	even	9	inner	555.2.bc.d.46.5	✓	36

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
555.2.bc.d.46.5	✓	36	37.9	even	9	inner
555.2.bc.d.181.5	yes	36	1.1	even	1	trivial

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:	\( N \)	\(=\)	\( 555 = 3 \cdot 5 \cdot 37 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	555.bc (of order \(9\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(0.374910 - 2.12622i) q^{2} +(0.173648 + 0.984808i) q^{3} +(-2.50087 - 0.910242i) q^{4} +(-0.766044 + 0.642788i) q^{5} +2.15902 q^{6} +(-3.21334 + 2.69631i) q^{7} +(-0.713956 + 1.23661i) q^{8} +(-0.939693 + 0.342020i) q^{9} +O(q^{10})\)	\(q+(0.374910 - 2.12622i) q^{2} +(0.173648 + 0.984808i) q^{3} +(-2.50087 - 0.910242i) q^{4} +(-0.766044 + 0.642788i) q^{5} +2.15902 q^{6} +(-3.21334 + 2.69631i) q^{7} +(-0.713956 + 1.23661i) q^{8} +(-0.939693 + 0.342020i) q^{9} +(1.07951 + 1.86977i) q^{10} +(0.363171 - 0.629030i) q^{11} +(0.462142 - 2.62094i) q^{12} +(-4.15024 - 1.51057i) q^{13} +(4.52824 + 7.84314i) q^{14} +(-0.766044 - 0.642788i) q^{15} +(-1.71582 - 1.43975i) q^{16} +(-5.79482 + 2.10914i) q^{17} +(0.374910 + 2.12622i) q^{18} +(1.09137 + 6.18945i) q^{19} +(2.50087 - 0.910242i) q^{20} +(-3.21334 - 2.69631i) q^{21} +(-1.20130 - 1.00801i) q^{22} +(4.24764 + 7.35713i) q^{23} +(-1.34180 - 0.488375i) q^{24} +(0.173648 - 0.984808i) q^{25} +(-4.76776 + 8.25801i) q^{26} +(-0.500000 - 0.866025i) q^{27} +(10.4904 - 3.81821i) q^{28} +(1.48036 - 2.56405i) q^{29} +(-1.65391 + 1.38779i) q^{30} -1.38068 q^{31} +(-5.89219 + 4.94413i) q^{32} +(0.682538 + 0.248424i) q^{33} +(2.31197 + 13.1118i) q^{34} +(0.728404 - 4.13099i) q^{35} +2.66137 q^{36} +(-1.87971 - 5.78504i) q^{37} +13.5693 q^{38} +(0.766934 - 4.34950i) q^{39} +(-0.247954 - 1.40622i) q^{40} +(-1.17973 - 0.429385i) q^{41} +(-6.93766 + 5.82139i) q^{42} -1.80429 q^{43} +(-1.48081 + 1.24255i) q^{44} +(0.500000 - 0.866025i) q^{45} +(17.2354 - 6.27316i) q^{46} +(-0.0448451 - 0.0776740i) q^{47} +(1.11992 - 1.93977i) q^{48} +(1.83991 - 10.4347i) q^{49} +(-2.02882 - 0.738429i) q^{50} +(-3.08336 - 5.34054i) q^{51} +(9.00424 + 7.55546i) q^{52} +(8.39887 + 7.04749i) q^{53} +(-2.02882 + 0.738429i) q^{54} +(0.126128 + 0.715307i) q^{55} +(-1.04010 - 5.89869i) q^{56} +(-5.90591 + 2.14957i) q^{57} +(-4.89674 - 4.10886i) q^{58} +(-9.08079 - 7.61969i) q^{59} +(1.33069 + 2.30481i) q^{60} +(-4.32492 - 1.57414i) q^{61} +(-0.517631 + 2.93563i) q^{62} +(2.09736 - 3.63273i) q^{63} +(6.06343 + 10.5022i) q^{64} +(4.15024 - 1.51057i) q^{65} +(0.784094 - 1.35809i) q^{66} +(3.29594 - 2.76562i) q^{67} +16.4119 q^{68} +(-6.50777 + 5.46066i) q^{69} +(-8.51030 - 3.09750i) q^{70} +(0.00767563 + 0.0435307i) q^{71} +(0.247954 - 1.40622i) q^{72} -7.75604 q^{73} +(-13.0050 + 1.82780i) q^{74} +1.00000 q^{75} +(2.90453 - 16.4724i) q^{76} +(0.529071 + 3.00051i) q^{77} +(-8.96046 - 3.26134i) q^{78} +(11.2162 - 9.41154i) q^{79} +2.23985 q^{80} +(0.766044 - 0.642788i) q^{81} +(-1.35526 + 2.34738i) q^{82} +(-10.7266 + 3.90418i) q^{83} +(5.58184 + 9.66804i) q^{84} +(3.08336 - 5.34054i) q^{85} +(-0.676447 + 3.83632i) q^{86} +(2.78216 + 1.01262i) q^{87} +(0.518576 + 0.898201i) q^{88} +(12.7596 + 10.7066i) q^{89} +(-1.65391 - 1.38779i) q^{90} +(17.4091 - 6.33639i) q^{91} +(-3.92603 - 22.2656i) q^{92} +(-0.239753 - 1.35971i) q^{93} +(-0.181965 + 0.0662298i) q^{94} +(-4.81454 - 4.03988i) q^{95} +(-5.89219 - 4.94413i) q^{96} +(-1.10774 - 1.91866i) q^{97} +(-21.4966 - 7.82411i) q^{98} +(-0.126128 + 0.715307i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 36 q + 3 q^{2} + 3 q^{4} + 12 q^{6} - 21 q^{8}+O(q^{10}) \) 36 * q + 3 * q^2 + 3 * q^4 + 12 * q^6 - 21 * q^8	\( 36 q + 3 q^{2} + 3 q^{4} + 12 q^{6} - 21 q^{8} + 6 q^{10} + 9 q^{11} - 6 q^{12} - 15 q^{13} - 6 q^{14} - 3 q^{16} + 9 q^{17} + 3 q^{18} + 9 q^{19} - 3 q^{20} - 30 q^{22} - 9 q^{23} - 3 q^{24} - 36 q^{26} - 18 q^{27} - 48 q^{28} - 36 q^{29} + 6 q^{30} + 36 q^{31} - 30 q^{32} - 3 q^{33} + 60 q^{34} - 9 q^{35} + 36 q^{36} - 15 q^{37} + 12 q^{38} + 12 q^{39} + 3 q^{40} + 3 q^{41} - 18 q^{42} - 30 q^{43} - 90 q^{44} + 18 q^{45} - 3 q^{46} - 12 q^{47} - 18 q^{48} - 18 q^{49} + 3 q^{50} - 27 q^{51} + 75 q^{52} + 18 q^{53} + 3 q^{54} - 6 q^{55} + 126 q^{56} - 9 q^{57} - 36 q^{58} - 12 q^{59} + 18 q^{60} + 30 q^{61} + 12 q^{62} + 9 q^{63} - 3 q^{64} + 15 q^{65} + 15 q^{67} + 60 q^{68} + 12 q^{69} - 9 q^{70} - 30 q^{71} - 3 q^{72} - 42 q^{73} - 123 q^{74} + 36 q^{75} + 72 q^{76} + 27 q^{77} + 39 q^{78} + 45 q^{79} - 36 q^{80} - 15 q^{82} - 21 q^{83} + 21 q^{84} + 27 q^{85} + 9 q^{86} + 3 q^{87} + 21 q^{88} + 72 q^{89} + 6 q^{90} + 72 q^{91} - 45 q^{92} + 6 q^{93} - 18 q^{94} - 30 q^{96} - 45 q^{97} + 6 q^{98} + 6 q^{99}+O(q^{100}) \) 36 * q + 3 * q^2 + 3 * q^4 + 12 * q^6 - 21 * q^8 + 6 * q^10 + 9 * q^11 - 6 * q^12 - 15 * q^13 - 6 * q^14 - 3 * q^16 + 9 * q^17 + 3 * q^18 + 9 * q^19 - 3 * q^20 - 30 * q^22 - 9 * q^23 - 3 * q^24 - 36 * q^26 - 18 * q^27 - 48 * q^28 - 36 * q^29 + 6 * q^30 + 36 * q^31 - 30 * q^32 - 3 * q^33 + 60 * q^34 - 9 * q^35 + 36 * q^36 - 15 * q^37 + 12 * q^38 + 12 * q^39 + 3 * q^40 + 3 * q^41 - 18 * q^42 - 30 * q^43 - 90 * q^44 + 18 * q^45 - 3 * q^46 - 12 * q^47 - 18 * q^48 - 18 * q^49 + 3 * q^50 - 27 * q^51 + 75 * q^52 + 18 * q^53 + 3 * q^54 - 6 * q^55 + 126 * q^56 - 9 * q^57 - 36 * q^58 - 12 * q^59 + 18 * q^60 + 30 * q^61 + 12 * q^62 + 9 * q^63 - 3 * q^64 + 15 * q^65 + 15 * q^67 + 60 * q^68 + 12 * q^69 - 9 * q^70 - 30 * q^71 - 3 * q^72 - 42 * q^73 - 123 * q^74 + 36 * q^75 + 72 * q^76 + 27 * q^77 + 39 * q^78 + 45 * q^79 - 36 * q^80 - 15 * q^82 - 21 * q^83 + 21 * q^84 + 27 * q^85 + 9 * q^86 + 3 * q^87 + 21 * q^88 + 72 * q^89 + 6 * q^90 + 72 * q^91 - 45 * q^92 + 6 * q^93 - 18 * q^94 - 30 * q^96 - 45 * q^97 + 6 * q^98 + 6 * q^99

Introduction

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