LMFDB - Embedded newform 354.2.e.d.121.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [354,2,Mod(7,354)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(354, base_ring=CyclotomicField(58))

chi = DirichletCharacter(H, H._module([0, 18]))

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

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

chi := DirichletCharacter("354.7");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 354 = 2 \cdot 3 \cdot 59 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	354.e (of order $29$, degree $28$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$2.82670423155$
Analytic rank:	$0$
Dimension:	$84$
Relative dimension:	$3$ over $\Q(\zeta_{29})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{29}]$

Embedding invariants

Embedding label			121.1
Character	$\chi$	$=$	354.121
Dual form			354.2.e.d.79.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.907575 + 0.419889i) q^{2} +(-0.947653 - 0.319302i) q^{3} +(0.647386 - 0.762162i) q^{4} +(-3.13475 - 1.88612i) q^{5} +(0.994138 - 0.108119i) q^{6} +(0.104895 - 1.93468i) q^{7} +(-0.267528 + 0.963550i) q^{8} +(0.796093 + 0.605174i) q^{9} +O(q^{10})$	\(q+(-0.907575 + 0.419889i) q^{2} +(-0.947653 - 0.319302i) q^{3} +(0.647386 - 0.762162i) q^{4} +(-3.13475 - 1.88612i) q^{5} +(0.994138 - 0.108119i) q^{6} +(0.104895 - 1.93468i) q^{7} +(-0.267528 + 0.963550i) q^{8} +(0.796093 + 0.605174i) q^{9} +(3.63698 + 0.395546i) q^{10} +(-0.795254 + 4.85084i) q^{11} +(-0.856857 + 0.515554i) q^{12} +(1.22555 - 0.931636i) q^{13} +(0.717149 + 1.79991i) q^{14} +(2.36842 + 2.78832i) q^{15} +(-0.161782 - 0.986827i) q^{16} +(0.296836 + 5.47481i) q^{17} +(-0.976621 - 0.214970i) q^{18} +(-4.26147 + 4.03668i) q^{19} +(-3.46692 + 1.16814i) q^{20} +(-0.717149 + 1.79991i) q^{21} +(-1.31506 - 4.73642i) q^{22} +(3.95811 - 0.871245i) q^{23} +(0.561187 - 0.827689i) q^{24} +(3.92718 + 7.40746i) q^{25} +(-0.721092 + 1.36012i) q^{26} +(-0.561187 - 0.827689i) q^{27} +(-1.40663 - 1.33243i) q^{28} +(-5.72973 - 2.65086i) q^{29} +(-3.32030 - 1.53613i) q^{30} +(-0.939951 - 0.890369i) q^{31} +(0.561187 + 0.827689i) q^{32} +(2.30251 - 4.34299i) q^{33} +(-2.56821 - 4.84417i) q^{34} +(-3.97784 + 5.86688i) q^{35} +(0.976621 - 0.214970i) q^{36} +(0.841009 + 3.02904i) q^{37} +(2.17265 - 5.45293i) q^{38} +(-1.45887 + 0.491549i) q^{39} +(2.65600 - 2.51590i) q^{40} +(-4.90621 - 1.07994i) q^{41} +(-0.104895 - 1.93468i) q^{42} +(1.69585 + 10.3442i) q^{43} +(3.18229 + 3.74648i) q^{44} +(-1.35412 - 3.39860i) q^{45} +(-3.22645 + 2.45269i) q^{46} +(-0.860622 + 0.517819i) q^{47} +(-0.161782 + 0.986827i) q^{48} +(3.22700 + 0.350957i) q^{49} +(-6.67453 - 5.07384i) q^{50} +(1.46682 - 5.28300i) q^{51} +(0.0833442 - 1.53719i) q^{52} +(-4.75009 + 0.516604i) q^{53} +(0.856857 + 0.515554i) q^{54} +(11.6422 - 13.7062i) q^{55} +(1.83609 + 0.618652i) q^{56} +(5.32731 - 2.46468i) q^{57} +6.31323 q^{58} +(6.47666 + 4.12952i) q^{59} +3.65843 q^{60} +(-10.0851 + 4.66588i) q^{61} +(1.22693 + 0.413402i) q^{62} +(1.25432 - 1.47670i) q^{63} +(-0.856857 - 0.515554i) q^{64} +(-5.59896 + 0.608923i) q^{65} +(-0.266125 + 4.90838i) q^{66} +(-0.867399 + 3.12409i) q^{67} +(4.36486 + 3.31808i) q^{68} +(-4.02910 - 0.438191i) q^{69} +(1.14675 - 6.99489i) q^{70} +(1.72906 - 1.04034i) q^{71} +(-0.796093 + 0.605174i) q^{72} +(-2.43771 - 6.11820i) q^{73} +(-2.03514 - 2.39595i) q^{74} +(-1.35640 - 8.27366i) q^{75} +(0.317786 + 5.86122i) q^{76} +(9.30138 + 2.04739i) q^{77} +(1.11763 - 1.05868i) q^{78} +(-9.63892 + 3.24773i) q^{79} +(-1.35412 + 3.39860i) q^{80} +(0.267528 + 0.963550i) q^{81} +(4.90621 - 1.07994i) q^{82} +(8.50363 - 12.5419i) q^{83} +(0.907549 + 1.71182i) q^{84} +(9.39563 - 17.7220i) q^{85} +(-5.88254 - 8.67610i) q^{86} +(4.58337 + 4.34160i) q^{87} +(-4.46127 - 2.06400i) q^{88} +(-9.60078 - 4.44179i) q^{89} +(2.65600 + 2.51590i) q^{90} +(-1.67386 - 2.46876i) q^{91} +(1.89839 - 3.58075i) q^{92} +(0.606451 + 1.14389i) q^{93} +(0.563653 - 0.831326i) q^{94} +(20.9723 - 4.61635i) q^{95} +(-0.267528 - 0.963550i) q^{96} +(2.48571 - 6.23865i) q^{97} +(-3.07611 + 1.03646i) q^{98} +(-3.56870 + 3.38045i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 84 q + 3 q^{2} - 3 q^{3} - 3 q^{4} - 2 q^{5} + 3 q^{6} - 7 q^{7} + 3 q^{8} - 3 q^{9}+O(q^{10}) $ 84 * q + 3 * q^2 - 3 * q^3 - 3 * q^4 - 2 * q^5 + 3 * q^6 - 7 * q^7 + 3 * q^8 - 3 * q^9	\( 84 q + 3 q^{2} - 3 q^{3} - 3 q^{4} - 2 q^{5} + 3 q^{6} - 7 q^{7} + 3 q^{8} - 3 q^{9} + 2 q^{10} + 30 q^{11} - 3 q^{12} - 3 q^{13} + 7 q^{14} - 2 q^{15} - 3 q^{16} + 3 q^{17} + 3 q^{18} - 4 q^{19} - 2 q^{20} - 7 q^{21} - q^{22} + 2 q^{23} + 3 q^{24} - 67 q^{25} + 32 q^{26} - 3 q^{27} - 7 q^{28} + 4 q^{29} + 2 q^{30} - 6 q^{31} + 3 q^{32} + q^{33} + 26 q^{34} + 79 q^{35} - 3 q^{36} + 55 q^{37} + 4 q^{38} - 3 q^{39} + 2 q^{40} + q^{41} + 7 q^{42} + 51 q^{43} + q^{44} - 2 q^{45} - 31 q^{46} - 62 q^{47} - 3 q^{48} - 70 q^{49} + 9 q^{50} + 3 q^{51} - 32 q^{52} - 27 q^{53} + 3 q^{54} - 83 q^{55} + 7 q^{56} - 4 q^{57} - 120 q^{58} - 55 q^{59} + 56 q^{60} - 46 q^{61} - 23 q^{62} - 7 q^{63} - 3 q^{64} - 121 q^{65} - q^{66} + 8 q^{67} - 26 q^{68} - 27 q^{69} - 50 q^{70} - 61 q^{71} + 3 q^{72} + 49 q^{73} - 26 q^{74} - 9 q^{75} + 25 q^{76} + 77 q^{77} + 3 q^{78} - 5 q^{79} - 2 q^{80} - 3 q^{81} - q^{82} + 75 q^{83} - 7 q^{84} + 189 q^{85} + 65 q^{86} - 25 q^{87} - 30 q^{88} + 54 q^{89} + 2 q^{90} - 161 q^{91} + 2 q^{92} + 23 q^{93} + 33 q^{94} - 54 q^{95} + 3 q^{96} + 28 q^{97} + 12 q^{98} + q^{99}+O(q^{100}) \) 84 * q + 3 * q^2 - 3 * q^3 - 3 * q^4 - 2 * q^5 + 3 * q^6 - 7 * q^7 + 3 * q^8 - 3 * q^9 + 2 * q^10 + 30 * q^11 - 3 * q^12 - 3 * q^13 + 7 * q^14 - 2 * q^15 - 3 * q^16 + 3 * q^17 + 3 * q^18 - 4 * q^19 - 2 * q^20 - 7 * q^21 - q^22 + 2 * q^23 + 3 * q^24 - 67 * q^25 + 32 * q^26 - 3 * q^27 - 7 * q^28 + 4 * q^29 + 2 * q^30 - 6 * q^31 + 3 * q^32 + q^33 + 26 * q^34 + 79 * q^35 - 3 * q^36 + 55 * q^37 + 4 * q^38 - 3 * q^39 + 2 * q^40 + q^41 + 7 * q^42 + 51 * q^43 + q^44 - 2 * q^45 - 31 * q^46 - 62 * q^47 - 3 * q^48 - 70 * q^49 + 9 * q^50 + 3 * q^51 - 32 * q^52 - 27 * q^53 + 3 * q^54 - 83 * q^55 + 7 * q^56 - 4 * q^57 - 120 * q^58 - 55 * q^59 + 56 * q^60 - 46 * q^61 - 23 * q^62 - 7 * q^63 - 3 * q^64 - 121 * q^65 - q^66 + 8 * q^67 - 26 * q^68 - 27 * q^69 - 50 * q^70 - 61 * q^71 + 3 * q^72 + 49 * q^73 - 26 * q^74 - 9 * q^75 + 25 * q^76 + 77 * q^77 + 3 * q^78 - 5 * q^79 - 2 * q^80 - 3 * q^81 - q^82 + 75 * q^83 - 7 * q^84 + 189 * q^85 + 65 * q^86 - 25 * q^87 - 30 * q^88 + 54 * q^89 + 2 * q^90 - 161 * q^91 + 2 * q^92 + 23 * q^93 + 33 * q^94 - 54 * q^95 + 3 * q^96 + 28 * q^97 + 12 * q^98 + q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/354\mathbb{Z}\right)^\times$.

$n$	$61$	$119$
$\chi(n)$	$e\left(\frac{25}{29}\right)$	$1$

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 $

$2$	−0.907575	+	0.419889i	−0.641753	+	0.296906i
$2$	−0.907575	+	0.419889i	−0.641753	+	0.296906i
$3$	−0.947653	−	0.319302i	−0.547128	−	0.184349i
$3$	−0.947653	−	0.319302i	−0.547128	−	0.184349i
$4$	0.647386	−	0.762162i	0.323693	−	0.381081i
$5$	−3.13475	−	1.88612i	−1.40190	−	0.843497i	−0.404432	−	0.914568i	$-0.632531\pi$
$5$	−3.13475	−	1.88612i	−1.40190	−	0.843497i	−0.997471	+	0.0710708i	$0.977358\pi$
$6$	0.994138	−	0.108119i	0.405855	−	0.0441394i
$7$	0.104895	−	1.93468i	0.0396466	−	0.731239i	−0.909365	−	0.415998i	$-0.863432\pi$
$7$	0.104895	−	1.93468i	0.0396466	−	0.731239i	0.949012	−	0.315240i	$-0.102085\pi$
$8$	−0.267528	+	0.963550i	−0.0945856	+	0.340666i
$9$	0.796093	+	0.605174i	0.265364	+	0.201725i
$10$	3.63698	+	0.395546i	1.15012	+	0.125083i
$11$	−0.795254	+	4.85084i	−0.239778	+	1.46258i	0.542712	+	0.839919i	$0.317398\pi$
$11$	−0.795254	+	4.85084i	−0.239778	+	1.46258i	−0.782490	+	0.622663i	$0.786051\pi$
$12$	−0.856857	+	0.515554i	−0.247353	+	0.148828i
$13$	1.22555	−	0.931636i	0.339905	−	0.258389i	−0.421270	−	0.906935i	$-0.638416\pi$
$13$	1.22555	−	0.931636i	0.339905	−	0.258389i	0.761176	+	0.648546i	$0.224622\pi$
$14$	0.717149	+	1.79991i	0.191666	+	0.481046i
$15$	2.36842	+	2.78832i	0.611523	+	0.719940i
$16$	−0.161782	−	0.986827i	−0.0404455	−	0.246707i
$17$	0.296836	+	5.47481i	0.0719932	+	1.32784i	0.781839	+	0.623480i	$0.214282\pi$
$17$	0.296836	+	5.47481i	0.0719932	+	1.32784i	−0.709846	+	0.704357i	$0.751236\pi$
$18$	−0.976621	−	0.214970i	−0.230192	−	0.0506690i
$19$	−4.26147	+	4.03668i	−0.977648	+	0.926078i	−0.997278	−	0.0737298i	$-0.976510\pi$
$19$	−4.26147	+	4.03668i	−0.977648	+	0.926078i	0.0196301	+	0.999807i	$0.493751\pi$
$20$	−3.46692	+	1.16814i	−0.775227	+	0.261204i
$21$	−0.717149	+	1.79991i	−0.156495	+	0.392772i
$22$	−1.31506	−	4.73642i	−0.280372	−	1.00981i
$23$	3.95811	−	0.871245i	0.825322	−	0.181667i	0.217824	−	0.975988i	$-0.430104\pi$
$23$	3.95811	−	0.871245i	0.825322	−	0.181667i	0.607498	+	0.794321i	$0.292173\pi$
$24$	0.561187	−	0.827689i	0.114552	−	0.168951i
$25$	3.92718	+	7.40746i	0.785437	+	1.48149i
$26$	−0.721092	+	1.36012i	−0.141418	+	0.266742i
$27$	−0.561187	−	0.827689i	−0.108001	−	0.159289i
$28$	−1.40663	−	1.33243i	−0.265828	−	0.251805i
$29$	−5.72973	−	2.65086i	−1.06398	−	0.492252i	−0.191802	−	0.981434i	$-0.561433\pi$
$29$	−5.72973	−	2.65086i	−1.06398	−	0.492252i	−0.872182	+	0.489182i	$0.837295\pi$
$30$	−3.32030	−	1.53613i	−0.606201	−	0.280459i
$31$	−0.939951	−	0.890369i	−0.168820	−	0.159915i	0.598625	−	0.801029i	$-0.295714\pi$
$31$	−0.939951	−	0.890369i	−0.168820	−	0.159915i	−0.767445	+	0.641114i	$0.778472\pi$
$32$	0.561187	+	0.827689i	0.0992048	+	0.146316i
$33$	2.30251	−	4.34299i	0.400815	−	0.756017i
$34$	−2.56821	−	4.84417i	−0.440445	−	0.830767i
$35$	−3.97784	+	5.86688i	−0.672378	+	0.991684i
$36$	0.976621	−	0.214970i	0.162770	−	0.0358284i
$37$	0.841009	+	3.02904i	0.138261	+	0.497971i	0.999955	−	0.00945664i	$-0.00301019\pi$
$37$	0.841009	+	3.02904i	0.138261	+	0.497971i	−0.861694	+	0.507428i	$0.830596\pi$
$38$	2.17265	−	5.45293i	0.352450	−	0.884583i
$39$	−1.45887	+	0.491549i	−0.233606	+	0.0787109i
$40$	2.65600	−	2.51590i	0.419951	−	0.397799i
$41$	−4.90621	−	1.07994i	−0.766222	−	0.168658i	−0.185371	−	0.982669i	$-0.559349\pi$
$41$	−4.90621	−	1.07994i	−0.766222	−	0.168658i	−0.580850	+	0.814010i	$0.697280\pi$
$42$	−0.104895	−	1.93468i	−0.0161857	−	0.298527i
$43$	1.69585	+	10.3442i	0.258615	+	1.57748i	0.722364	+	0.691514i	$0.243056\pi$
$43$	1.69585	+	10.3442i	0.258615	+	1.57748i	−0.463749	+	0.885967i	$0.653496\pi$
$44$	3.18229	+	3.74648i	0.479748	+	0.564803i
$45$	−1.35412	−	3.39860i	−0.201861	−	0.506633i
$46$	−3.22645	+	2.45269i	−0.475715	+	0.361629i
$47$	−0.860622	+	0.517819i	−0.125535	+	0.0755317i	−0.576936	−	0.816789i	$-0.695752\pi$
$47$	−0.860622	+	0.517819i	−0.125535	+	0.0755317i	0.451401	+	0.892321i	$0.350924\pi$
$48$	−0.161782	+	0.986827i	−0.0233512	+	0.142436i
$49$	3.22700	+	0.350957i	0.461000	+	0.0501368i
$50$	−6.67453	−	5.07384i	−0.943921	−	0.717550i
$51$	1.46682	−	5.28300i	0.205396	−	0.739768i
$52$	0.0833442	−	1.53719i	0.0115578	−	0.213170i
$53$	−4.75009	+	0.516604i	−0.652476	+	0.0709610i	−0.428369	−	0.903604i	$-0.640912\pi$
$53$	−4.75009	+	0.516604i	−0.652476	+	0.0709610i	−0.224106	+	0.974565i	$0.571946\pi$
$54$	0.856857	+	0.515554i	0.116603	+	0.0701580i
$55$	11.6422	−	13.7062i	1.56983	−	1.84815i
$56$	1.83609	+	0.618652i	0.245358	+	0.0826709i
$57$	5.32731	−	2.46468i	0.705620	−	0.326454i
$58$	6.31323			0.828967
$59$	6.47666	+	4.12952i	0.843189	+	0.537618i
$59$	6.47666	+	4.12952i	0.843189	+	0.537618i
$60$	3.65843			0.472301
$61$	−10.0851	+	4.66588i	−1.29127	+	0.597405i	−0.940734	−	0.339145i	$-0.889862\pi$
$61$	−10.0851	+	4.66588i	−1.29127	+	0.597405i	−0.350535	+	0.936550i	$0.614000\pi$
$62$	1.22693	+	0.413402i	0.155821	+	0.0525021i
$63$	1.25432	−	1.47670i	0.158030	−	0.186047i
$64$	−0.856857	−	0.515554i	−0.107107	−	0.0644442i
$65$	−5.59896	+	0.608923i	−0.694465	+	0.0755277i
$66$	−0.266125	+	4.90838i	−0.0327577	+	0.604180i
$67$	−0.867399	+	3.12409i	−0.105970	+	0.381668i	−0.997448	−	0.0713948i	$-0.977255\pi$
$67$	−0.867399	+	3.12409i	−0.105970	+	0.381668i	0.891478	+	0.453063i	$0.149669\pi$
$68$	4.36486	+	3.31808i	0.529317	+	0.402376i
$69$	−4.02910	−	0.438191i	−0.485047	−	0.0527520i
$70$	1.14675	−	6.99489i	0.137063	−	0.836049i
$71$	1.72906	−	1.04034i	0.205202	−	0.123466i	−0.409244	−	0.912425i	$-0.634207\pi$
$71$	1.72906	−	1.04034i	0.205202	−	0.123466i	0.614445	+	0.788959i	$0.289380\pi$
$72$	−0.796093	+	0.605174i	−0.0938205	+	0.0713205i
$73$	−2.43771	−	6.11820i	−0.285313	−	0.716081i	−0.999864	−	0.0164976i	$-0.994748\pi$
$73$	−2.43771	−	6.11820i	−0.285313	−	0.716081i	0.714551	−	0.699583i	$-0.246631\pi$
$74$	−2.03514	−	2.39595i	−0.236580	−	0.278524i
$75$	−1.35640	−	8.27366i	−0.156623	−	0.955359i
$76$	0.317786	+	5.86122i	0.0364526	+	0.672328i
$77$	9.30138	+	2.04739i	1.05999	+	0.233321i
$78$	1.11763	−	1.05868i	0.126547	−	0.119872i
$79$	−9.63892	+	3.24773i	−1.08446	+	0.365398i	−0.804099	−	0.594495i	$-0.797352\pi$
$79$	−9.63892	+	3.24773i	−1.08446	+	0.365398i	−0.280364	+	0.959894i	$0.590455\pi$
$80$	−1.35412	+	3.39860i	−0.151396	+	0.379975i
$81$	0.267528	+	0.963550i	0.0297254	+	0.107061i
$82$	4.90621	−	1.07994i	0.541800	−	0.119259i
$83$	8.50363	−	12.5419i	0.933395	−	1.37665i	0.00705155	−	0.999975i	$-0.497755\pi$
$83$	8.50363	−	12.5419i	0.933395	−	1.37665i	0.926344	−	0.376680i	$-0.122934\pi$
$84$	0.907549	+	1.71182i	0.0990217	+	0.186775i
$85$	9.39563	−	17.7220i	1.01910	−	1.92222i
$86$	−5.88254	−	8.67610i	−0.634331	−	0.935568i
$87$	4.58337	+	4.34160i	0.491389	+	0.465469i
$88$	−4.46127	−	2.06400i	−0.475573	−	0.220024i
$89$	−9.60078	−	4.44179i	−1.01768	−	0.470829i	−0.161152	−	0.986930i	$-0.551521\pi$
$89$	−9.60078	−	4.44179i	−1.01768	−	0.470829i	−0.856528	+	0.516100i	$0.827383\pi$
$90$	2.65600	+	2.51590i	0.279967	+	0.265199i
$91$	−1.67386	−	2.46876i	−0.175468	−	0.258796i
$92$	1.89839	−	3.58075i	0.197921	−	0.373319i
$93$	0.606451	+	1.14389i	0.0628861	+	0.118616i
$94$	0.563653	−	0.831326i	0.0581363	−	0.0857447i
$95$	20.9723	−	4.61635i	2.15171	−	0.473628i
$96$	−0.267528	−	0.963550i	−0.0273045	−	0.0983419i
$97$	2.48571	−	6.23865i	0.252385	−	0.633439i	−0.747127	−	0.664682i	$-0.768567\pi$
$97$	2.48571	−	6.23865i	0.252385	−	0.633439i	0.999512	+	0.0312426i	$0.00994643\pi$
$98$	−3.07611	+	1.03646i	−0.310734	+	0.104698i
$99$	−3.56870	+	3.38045i	−0.358668	+	0.339748i
$100$	8.18809	+	1.80233i	0.818809	+	0.180233i
$101$	−0.788958	−	14.5515i	−0.0785043	−	1.44793i	−0.726963	−	0.686677i	$-0.759069\pi$
$101$	−0.788958	−	14.5515i	−0.0785043	−	1.44793i	0.648459	−	0.761250i	$-0.275414\pi$
$102$	0.887027	+	5.41062i	0.0878287	+	0.535732i
$103$	11.2160	+	13.2045i	1.10515	+	1.30108i	0.949673	+	0.313243i	$0.101416\pi$
$103$	11.2160	+	13.2045i	1.10515	+	1.30108i	0.155477	+	0.987840i	$0.450309\pi$
$104$	0.569810	+	1.43011i	0.0558744	+	0.140234i
$105$	5.64292	−	4.28964i	0.550693	−	0.418626i
$106$	4.09415	−	2.46337i	0.397659	−	0.239264i
$107$	−3.33710	+	20.3554i	−0.322610	+	1.96783i	−0.0855791	+	0.996331i	$0.527274\pi$
$107$	−3.33710	+	20.3554i	−0.322610	+	1.96783i	−0.237031	+	0.971502i	$0.576174\pi$
$108$	−0.994138	−	0.108119i	−0.0956610	−	0.0104038i
$109$	−6.19933	−	4.71261i	−0.593788	−	0.451386i	0.264620	−	0.964353i	$-0.414753\pi$
$109$	−6.19933	−	4.71261i	−0.593788	−	0.451386i	−0.858409	+	0.512967i	$0.828546\pi$
$110$	−4.81105	+	17.3279i	−0.458716	+	1.65215i
$111$	0.170192	−	3.13902i	0.0161540	−	0.297942i
$112$	−1.92616	+	0.209482i	−0.182005	+	0.0197942i
$113$	−1.54187	−	0.927711i	−0.145047	−	0.0872717i	0.441181	−	0.897418i	$-0.354560\pi$
$113$	−1.54187	−	0.927711i	−0.145047	−	0.0872717i	−0.586227	+	0.810147i	$0.699387\pi$
$114$	−3.80005	+	4.47376i	−0.355907	+	0.419006i
$115$	−14.0509	−	4.73432i	−1.31026	−	0.441477i
$116$	−5.72973	+	2.65086i	−0.531992	+	0.246126i
$117$	1.53945			0.142322
$118$	−7.61199	−	1.02837i	−0.700741	−	0.0946694i
$119$	10.6231			0.973819
$120$	−3.32030	+	1.53613i	−0.303101	+	0.140229i
$121$	−12.4740	−	4.20298i	−1.13400	−	0.382089i
$122$	7.19387	−	8.46928i	0.651302	−	0.766772i
$123$	4.30456	+	2.58997i	0.388129	+	0.233530i
$124$	−1.28712	+	0.139982i	−0.115587	+	0.0125708i
$125$	0.670267	−	12.3623i	0.0599505	−	1.10572i
$126$	−0.518341	+	1.86689i	−0.0461775	+	0.166316i
$127$	−2.62827	−	1.99796i	−0.233222	−	0.177290i	0.482036	−	0.876151i	$-0.339897\pi$
$127$	−2.62827	−	1.99796i	−0.233222	−	0.177290i	−0.715257	+	0.698861i	$0.753691\pi$
$128$	0.994138	+	0.108119i	0.0878702	+	0.00955646i
$129$	1.69585	−	10.3442i	0.149311	−	0.910759i
$130$	4.82580	−	2.90359i	0.423250	−	0.254661i
$131$	−9.94537	+	7.56027i	−0.868931	+	0.660544i	−0.941571	−	0.336814i	$-0.890651\pi$
$131$	−9.94537	+	7.56027i	−0.868931	+	0.660544i	0.0726402	+	0.997358i	$0.476858\pi$
$132$	−1.81945	−	4.56647i	−0.158363	−	0.397460i
$133$	7.36265	+	8.66799i	0.638423	+	0.751610i
$134$	−0.524541	−	3.19956i	−0.0453134	−	0.276400i
$135$	0.198063	+	3.65306i	0.0170466	+	0.314406i
$136$	−5.35467	−	1.17865i	−0.459159	−	0.101068i
$137$	−12.5046	+	11.8450i	−1.06834	+	1.01199i	−0.0684431	+	0.997655i	$0.521803\pi$
$137$	−12.5046	+	11.8450i	−1.06834	+	1.01199i	−0.999897	+	0.0143307i	$0.995438\pi$
$138$	3.84071	−	1.29408i	0.326943	−	0.110160i
$139$	2.66395	−	6.68600i	0.225953	−	0.567099i	−0.771669	−	0.636025i	$-0.780578\pi$
$139$	2.66395	−	6.68600i	0.225953	−	0.567099i	0.997622	+	0.0689252i	$0.0219570\pi$
$140$	1.89631	+	6.82990i	0.160268	+	0.577232i
$141$	0.980912	−	0.215915i	0.0826077	−	0.0181833i
$142$	−1.13242	+	1.67020i	−0.0950310	+	0.140160i
$143$	3.54459	+	6.68582i	0.296414	+	0.559096i
$144$	0.468408	−	0.883512i	0.0390340	−	0.0736260i
$145$	12.9615	+	19.1167i	1.07639	+	1.58756i
$146$	4.78137	+	4.52915i	0.395709	+	0.374836i
$147$	−2.94602	−	1.36297i	−0.242983	−	0.112416i
$148$	2.85308	+	1.31997i	0.234522	+	0.108501i
$149$	−6.03895	−	5.72040i	−0.494730	−	0.468634i	0.399184	−	0.916871i	$-0.369293\pi$
$149$	−6.03895	−	5.72040i	−0.494730	−	0.468634i	−0.893915	+	0.448237i	$0.852052\pi$
$150$	4.70505	+	6.93943i	0.384166	+	0.566602i
$151$	−3.78165	+	7.13295i	−0.307746	+	0.580471i	−0.988353	−	0.152178i	$-0.951371\pi$
$151$	−3.78165	+	7.13295i	−0.307746	+	0.580471i	0.680607	+	0.732649i	$0.261716\pi$
$152$	−2.74948	−	5.18606i	−0.223012	−	0.420645i
$153$	−3.07691	+	4.53810i	−0.248753	+	0.366883i
$154$	−9.30138	+	2.04739i	−0.749526	+	0.164983i
$155$	1.26717	+	4.56394i	0.101782	+	0.366585i
$156$	−0.569810	+	1.43011i	−0.0456213	+	0.114501i
$157$	−20.0251	+	6.74725i	−1.59818	+	0.538489i	−0.970731	−	0.240170i	$-0.922797\pi$
$157$	−20.0251	+	6.74725i	−1.59818	+	0.538489i	−0.627447	+	0.778659i	$0.715900\pi$
$158$	7.38436	−	6.99484i	0.587468	−	0.556479i
$159$	4.66639	+	1.02715i	0.370069	+	0.0814584i
$160$	−0.198063	−	3.65306i	−0.0156583	−	0.288800i
$161$	−1.27039	−	7.74904i	−0.100121	−	0.610710i
$162$	−0.647386	−	0.762162i	−0.0508635	−	0.0598811i
$163$	0.309399	+	0.776533i	0.0242340	+	0.0608227i	0.940596	−	0.339528i	$-0.110267\pi$
$163$	0.309399	+	0.776533i	0.0242340	+	0.0608227i	−0.916362	+	0.400351i	$0.868888\pi$
$164$	−3.99930	+	3.04019i	−0.312293	+	0.237399i
$165$	−15.4092	+	9.27138i	−1.19960	+	0.721776i
$166$	−2.45147	+	14.9533i	−0.190271	+	1.16060i
$167$	−13.1796	−	1.43336i	−1.01986	−	0.110917i	−0.417120	−	0.908851i	$-0.636961\pi$
$167$	−13.1796	−	1.43336i	−1.01986	−	0.110917i	−0.602744	+	0.797934i	$0.705926\pi$
$168$	−1.54244	−	1.17254i	−0.119002	−	0.0904631i
$169$	−2.84385	+	10.2426i	−0.218758	+	0.787894i
$170$	−1.08595	+	20.0292i	−0.0832887	+	1.53617i
$171$	−5.83542	+	0.634640i	−0.446246	+	0.0485321i
$172$	8.98185	+	5.40420i	0.684860	+	0.412066i
$173$	−1.88218	+	2.21587i	−0.143099	+	0.168469i	−0.829043	−	0.559186i	$-0.811114\pi$
$173$	−1.88218	+	2.21587i	−0.143099	+	0.168469i	0.685943	+	0.727655i	$0.259390\pi$
$174$	−5.98275	−	2.01582i	−0.453551	−	0.152819i
$175$	14.7430	−	6.82082i	1.11446	−	0.515606i
$176$	4.91559			0.370527
$177$	−4.81906	−	5.98136i	−0.362223	−	0.449586i
$178$	10.5785			0.792891
$179$	19.3500	−	8.95225i	1.44628	−	0.669122i	0.469419	−	0.882976i	$-0.344464\pi$
$179$	19.3500	−	8.95225i	1.44628	−	0.669122i	0.976866	+	0.213853i	$0.0686015\pi$
$180$	−3.46692	−	1.16814i	−0.258409	−	0.0870682i
$181$	−9.20292	+	10.8345i	−0.684048	+	0.805323i	−0.989136	−	0.147001i	$-0.953038\pi$
$181$	−9.20292	+	10.8345i	−0.684048	+	0.805323i	0.305089	+	0.952324i	$0.401314\pi$
$182$	2.55576	+	1.53775i	0.189445	+	0.113986i
$183$	11.0470	−	1.20144i	0.816620	−	0.0888128i
$184$	−0.219417	+	4.04692i	−0.0161757	+	0.298343i
$185$	3.07677	−	11.0815i	0.226209	−	0.814730i
$186$	−1.03071	−	0.783523i	−0.0755751	−	0.0574507i
$187$	−26.7935	−	2.91397i	−1.95933	−	0.213090i
$188$	−0.162493	+	0.991162i	−0.0118510	+	0.0722879i
$189$	−1.66018	+	0.998894i	−0.120760	+	0.0726589i
$190$	−17.0956	+	12.9957i	−1.24024	+	0.942809i
$191$	2.14090	+	5.37326i	0.154910	+	0.388795i	0.985864	−	0.167546i	$-0.0535842\pi$
$191$	2.14090	+	5.37326i	0.154910	+	0.388795i	−0.830954	+	0.556341i	$0.812205\pi$
$192$	0.647386	+	0.762162i	0.0467211	+	0.0550043i
$193$	−2.09418	−	12.7739i	−0.150742	−	0.919489i	−0.948562	−	0.316592i	$-0.897461\pi$
$193$	−2.09418	−	12.7739i	−0.150742	−	0.919489i	0.797819	−	0.602897i	$-0.205987\pi$
$194$	0.363576	+	6.70577i	0.0261033	+	0.481446i
$195$	5.50030	+	1.21071i	0.393885	+	0.0867006i
$196$	2.35660	−	2.23229i	0.168329	−	0.159449i
$197$	22.9561	−	7.73481i	1.63555	−	0.551082i	0.656437	−	0.754381i	$-0.272063\pi$
$197$	22.9561	−	7.73481i	1.63555	−	0.551082i	0.979117	+	0.203299i	$0.0651664\pi$
$198$	1.81945	−	4.56647i	0.129303	−	0.324525i
$199$	0.373954	+	1.34686i	0.0265089	+	0.0954764i	0.975621	−	0.219462i	$-0.0704301\pi$
$199$	0.373954	+	1.34686i	0.0265089	+	0.0954764i	−0.949112	+	0.314938i	$0.898016\pi$
$200$	−8.18809	+	1.80233i	−0.578985	+	0.127444i
$201$	1.81952	−	2.68359i	0.128339	−	0.189286i
$202$	6.82605	+	12.8753i	0.480279	+	0.905902i
$203$	−5.72956	+	10.8071i	−0.402137	+	0.758510i
$204$	−3.07691	−	4.53810i	−0.215426	−	0.317730i
$205$	13.3429	+	12.6390i	0.931906	+	0.882748i
$206$	−15.7239	−	7.27463i	−1.09553	−	0.506847i
$207$	3.67828	+	1.70175i	0.255658	+	0.118280i
$208$	−1.11763	−	1.05868i	−0.0774940	−	0.0734062i
$209$	−16.1923	−	23.8819i	−1.12005	−	1.65194i
$210$	−3.32020	+	6.26257i	−0.229116	+	0.432158i
$211$	3.08360	+	5.81629i	0.212284	+	0.400410i	0.966672	−	0.256019i	$-0.0824110\pi$
$211$	3.08360	+	5.81629i	0.212284	+	0.400410i	−0.754388	+	0.656429i	$0.772066\pi$
$212$	−2.68141	+	3.95478i	−0.184160	+	0.271616i
$213$	−1.97073	+	0.433791i	−0.135032	+	0.0297229i
$214$	−5.51835	−	19.8753i	−0.377227	−	1.35865i
$215$	14.1944	−	35.6252i	0.968047	−	2.42962i
$216$	0.947653	−	0.319302i	0.0644796	−	0.0217257i
$217$	−1.82117	+	1.72510i	−0.123629	+	0.117108i
$218$	7.60513	+	1.67402i	0.515085	+	0.113379i
$219$	0.356556	+	6.57629i	0.0240938	+	0.444385i
$220$	−2.90938	−	17.7464i	−0.196150	−	1.19646i
$221$	5.46432	+	6.43309i	0.367570	+	0.432737i
$222$	1.16358	+	2.92035i	0.0780941	+	0.196001i
$223$	−0.539405	+	0.410045i	−0.0361212	+	0.0274586i	−0.623079	−	0.782159i	$-0.714119\pi$
$223$	−0.539405	+	0.410045i	−0.0361212	+	0.0274586i	0.586958	+	0.809617i	$0.300325\pi$
$224$	1.66018	−	0.998894i	0.110925	−	0.0667414i
$225$	−1.35640	+	8.27366i	−0.0904265	+	0.551577i
$226$	1.78890	+	0.194554i	0.118996	+	0.0129416i
$227$	−22.8042	−	17.3353i	−1.51357	−	1.15059i	−0.944597	−	0.328231i	$-0.893548\pi$
$227$	−22.8042	−	17.3353i	−1.51357	−	1.15059i	−0.568974	−	0.822356i	$-0.692659\pi$
$228$	1.57035	−	5.65587i	0.103999	−	0.374569i
$229$	−0.861844	+	15.8958i	−0.0569522	+	1.05042i	0.820772	+	0.571256i	$0.193544\pi$
$229$	−0.861844	+	15.8958i	−0.0569522	+	1.05042i	−0.877724	+	0.479166i	$0.840939\pi$
$230$	14.7402	−	1.60309i	0.971939	−	0.105705i
$231$	−8.16074	−	4.91016i	−0.536938	−	0.323065i
$232$	4.08710	−	4.81170i	0.268331	−	0.315904i
$233$	22.0845	+	7.44114i	1.44680	+	0.487485i	0.929662	−	0.368414i	$-0.120099\pi$
$233$	22.0845	+	7.44114i	1.44680	+	0.487485i	0.517143	+	0.855899i	$0.326996\pi$
$234$	−1.39717	+	0.646399i	−0.0913357	+	0.0422564i
$235$	3.67450			0.239698
$236$	7.34026	−	2.26287i	0.477810	−	0.147300i
$237$	10.1714			0.660701
$238$	−9.64128	+	4.46053i	−0.624951	+	0.289133i
$239$	2.87866	+	0.969933i	0.186205	+	0.0627397i	0.410859	−	0.911699i	$-0.365229\pi$
$239$	2.87866	+	0.969933i	0.186205	+	0.0627397i	−0.224654	+	0.974439i	$0.572125\pi$
$240$	2.36842	−	2.78832i	0.152881	−	0.179985i
$241$	−8.83713	−	5.31713i	−0.569250	−	0.342506i	0.201655	−	0.979457i	$-0.435368\pi$
$241$	−8.83713	−	5.31713i	−0.569250	−	0.342506i	−0.770905	+	0.636950i	$0.780196\pi$
$242$	13.0859	−	1.42318i	0.841193	−	0.0914852i
$243$	0.0541389	−	0.998533i	0.00347301	−	0.0640559i
$244$	−2.97282	+	10.7071i	−0.190315	+	0.685454i
$245$	−9.45390	−	7.18667i	−0.603987	−	0.459139i
$246$	−4.99421	−	0.543153i	−0.318419	−	0.0346302i
$247$	−1.46191	+	8.91728i	−0.0930193	+	0.567393i
$248$	1.10938	−	0.667491i	0.0704456	−	0.0423857i
$249$	−12.0632	+	9.17017i	−0.764471	+	0.581136i
$250$	4.58250	+	11.5012i	0.289822	+	0.727400i
$251$	−0.729170	−	0.858445i	−0.0460248	−	0.0541846i	0.738668	−	0.674069i	$-0.235455\pi$
$251$	−0.729170	−	0.858445i	−0.0460248	−	0.0541846i	−0.784693	+	0.619885i	$0.787179\pi$
$252$	−0.313455	−	1.91199i	−0.0197458	−	0.120444i
$253$	1.07857	+	19.8930i	0.0678089	+	1.25066i
$254$	3.22428	+	0.709717i	0.202309	+	0.0445316i
$255$	−14.5625	+	13.7943i	−0.911937	+	0.863833i
$256$	−0.947653	+	0.319302i	−0.0592283	+	0.0199563i
$257$	9.86510	−	24.7595i	0.615368	−	1.54446i	−0.208709	−	0.977978i	$-0.566926\pi$
$257$	9.86510	−	24.7595i	0.615368	−	1.54446i	0.824076	−	0.566479i	$-0.191695\pi$
$258$	2.80432	+	10.1002i	0.174589	+	0.628813i
$259$	5.94843	−	1.30935i	0.369617	−	0.0813589i
$260$	−3.16059	+	4.66152i	−0.196012	+	0.289095i
$261$	−2.95717	−	5.57781i	−0.183044	−	0.345258i
$262$	5.85170	−	11.0375i	0.361519	−	0.681897i
$263$	10.0699	+	14.8521i	0.620939	+	0.915817i	0.999954	−	0.00957348i	$-0.00304738\pi$
$263$	10.0699	+	14.8521i	0.620939	+	0.915817i	−0.379015	+	0.925391i	$0.623737\pi$
$264$	3.56870	+	3.38045i	0.219638	+	0.208052i
$265$	15.8647	+	7.33981i	0.974563	+	0.450881i
$266$	−10.3218	−	4.77535i	−0.632868	−	0.292796i
$267$	7.67994	+	7.27482i	0.470005	+	0.445212i
$268$	1.81952	+	2.68359i	0.111145	+	0.163926i
$269$	−8.00568	+	15.1003i	−0.488115	+	0.920682i	0.510051	+	0.860144i	$0.329627\pi$
$269$	−8.00568	+	15.1003i	−0.488115	+	0.920682i	−0.998166	+	0.0605383i	$0.980718\pi$
$270$	−1.71364	−	3.23227i	−0.104289	−	0.196709i
$271$	17.2128	−	25.3870i	1.04561	−	1.54215i	0.221954	−	0.975057i	$-0.428757\pi$
$271$	17.2128	−	25.3870i	1.04561	−	1.54215i	0.823652	−	0.567096i	$-0.191933\pi$
$272$	5.35467	−	1.17865i	0.324674	−	0.0714662i
$273$	0.797960	+	2.87399i	0.0482948	+	0.173942i
$274$	6.37529	−	16.0008i	0.385145	−	0.966642i
$275$	−39.0555	+	13.1593i	−2.35513	+	0.793537i
$276$	−2.94236	+	2.78715i	−0.177109	+	0.167767i
$277$	−15.5513	−	3.42310i	−0.934387	−	0.205674i	−0.278417	−	0.960460i	$-0.589810\pi$
$277$	−15.5513	−	3.42310i	−0.934387	−	0.205674i	−0.655971	+	0.754786i	$0.727741\pi$
$278$	0.389647	+	7.18662i	0.0233695	+	0.431025i
$279$	−0.209460	−	1.27765i	−0.0125401	−	0.0764909i
$280$	−4.58885	−	5.40241i	−0.274236	−	0.322856i
$281$	8.24817	+	20.7013i	0.492044	+	1.23494i	0.940090	+	0.340927i	$0.110741\pi$
$281$	8.24817	+	20.7013i	0.492044	+	1.23494i	−0.448045	+	0.894011i	$0.647880\pi$
$282$	−0.799591	+	0.607833i	−0.0476149	+	0.0361959i
$283$	7.57143	−	4.55558i	0.450075	−	0.270801i	−0.272418	−	0.962179i	$-0.587824\pi$
$283$	7.57143	−	4.55558i	0.450075	−	0.270801i	0.722493	+	0.691378i	$0.242996\pi$
$284$	0.326462	−	1.99133i	0.0193719	−	0.118164i
$285$	−21.3485	−	2.32179i	−1.26457	−	0.137531i
$286$	−6.02429	−	4.57954i	−0.356224	−	0.270794i
$287$	−2.60397	+	9.37865i	−0.153707	+	0.553604i
$288$	−0.0541389	+	0.998533i	−0.00319017	+	0.0588391i
$289$	−12.9851	+	1.41221i	−0.763829	+	0.0830714i
$290$	−19.7904	−	11.9075i	−1.16213	−	0.699232i
$291$	−4.34760	+	5.11839i	−0.254861	+	0.300045i
$292$	−6.24120	−	2.10290i	−0.365238	−	0.123063i
$293$	26.2187	−	12.1301i	1.53171	−	0.708646i	0.540552	−	0.841311i	$-0.318215\pi$
$293$	26.2187	−	12.1301i	1.53171	−	0.708646i	0.991161	+	0.132665i	$0.0423534\pi$
$294$	3.24603			0.189312
$295$	−12.5139	−	25.1607i	−0.728590	−	1.46492i
$296$	−3.14363			−0.182720
$297$	4.46127	−	2.06400i	0.258869	−	0.119766i
$298$	7.88274	+	2.65600i	0.456635	+	0.153858i
$299$	4.03916	−	4.75527i	0.233591	−	0.275004i
$300$	−7.18398	−	4.32246i	−0.414767	−	0.249557i
$301$	20.1906	−	2.19586i	1.16377	−	0.126567i
$302$	0.437085	−	8.06156i	0.0251514	−	0.463891i
$303$	−3.89865	+	14.0417i	−0.223972	+	0.806673i
$304$	4.67293	+	3.55227i	0.268011	+	0.203737i
$305$	40.4148	+	4.39537i	2.31414	+	0.251678i
$306$	0.887027	−	5.41062i	0.0507079	−	0.309305i
$307$	−0.815773	+	0.490834i	−0.0465586	+	0.0280134i	−0.538643	−	0.842534i	$-0.681063\pi$
$307$	−0.815773	+	0.490834i	−0.0465586	+	0.0280134i	0.492084	+	0.870548i	$0.336235\pi$
$308$	7.58202	−	5.76371i	0.432026	−	0.328418i
$309$	−6.41269	−	16.0946i	−0.364805	−	0.915592i
$310$	−3.06640	−	3.61005i	−0.174160	−	0.205037i
$311$	4.68285	+	28.5641i	0.265540	+	1.61972i	0.696641	+	0.717420i	$0.254677\pi$
$311$	4.68285	+	28.5641i	0.265540	+	1.61972i	−0.431100	+	0.902304i	$0.641874\pi$
$312$	−0.0833442	−	1.53719i	−0.00471844	−	0.0870265i
$313$	30.6320	+	6.74262i	1.73143	+	0.381115i	0.965211	−	0.261470i	$-0.0842074\pi$
$313$	30.6320	+	6.74262i	1.73143	+	0.381115i	0.766214	+	0.642586i	$0.222138\pi$
$314$	15.3412	−	14.5320i	0.865754	−	0.820086i
$315$	−6.71722	+	2.26329i	−0.378472	+	0.127522i
$316$	−3.76481	+	9.44896i	−0.211787	+	0.531545i
$317$	3.55671	+	12.8101i	0.199765	+	0.719487i	0.993758	+	0.111560i	$0.0355848\pi$
$317$	3.55671	+	12.8101i	0.199765	+	0.719487i	−0.793993	+	0.607927i	$0.792001\pi$
$318$	−4.66639	+	1.02715i	−0.261678	+	0.0575998i
$319$	17.4155	−	25.6859i	0.975079	−	1.43813i
$320$	1.71364	+	3.23227i	0.0957953	+	0.180689i
$321$	9.66194	−	18.2243i	0.539277	−	1.01718i
$322$	4.40671	+	6.49941i	0.245576	+	0.362198i
$323$	−23.3650	−	22.1325i	−1.30006	−	1.23149i
$324$	0.907575	+	0.419889i	0.0504209	+	0.0233272i
$325$	11.7140	+	5.41947i	0.649776	+	0.300618i
$326$	−0.606861	−	0.574849i	−0.0336109	−	0.0318379i
$327$	4.37007	+	6.44537i	0.241666	+	0.356430i
$328$	2.35313	−	4.43847i	0.129930	−	0.245073i
$329$	0.911537	+	1.71934i	0.0502546	+	0.0947903i
$330$	10.0920	−	14.8846i	0.555548	−	0.819371i
$331$	−4.33089	+	0.953300i	−0.238047	+	0.0523981i	−0.332391	−	0.943142i	$-0.607856\pi$
$331$	−4.33089	+	0.953300i	−0.238047	+	0.0523981i	0.0943445	+	0.995540i	$0.469924\pi$
$332$	−4.05384	−	14.6006i	−0.222483	−	0.801313i
$333$	−1.16358	+	2.92035i	−0.0637636	+	0.160034i
$334$	12.5633	−	4.23306i	0.687433	−	0.231623i
$335$	8.61148	−	8.15723i	0.470495	−	0.445677i
$336$	1.89222	+	0.416509i	0.103229	+	0.0227224i
$337$	−1.20566	−	22.2371i	−0.0656765	−	1.21133i	−0.826713	−	0.562623i	$-0.809792\pi$
$337$	−1.20566	−	22.2371i	−0.0656765	−	1.21133i	0.761037	−	0.648709i	$-0.224691\pi$
$338$	−1.71976	−	10.4901i	−0.0935425	−	0.570584i
$339$	1.16494	+	1.37147i	0.0632707	+	0.0744880i
$340$	−7.42446	−	18.6340i	−0.402648	−	1.01057i
$341$	5.06654	−	3.85148i	0.274368	−	0.208569i
$342$	5.02961	−	3.02621i	0.271970	−	0.163639i
$343$	3.21167	−	19.5903i	0.173414	−	1.05778i
$344$	−10.4209	−	1.13334i	−0.561856	−	0.0611055i
$345$	11.8038	+	8.97298i	0.635493	+	0.483089i
$346$	0.777798	−	2.80137i	0.0418147	−	0.150603i
$347$	0.451683	−	8.33079i	0.0242476	−	0.447220i	−0.961050	−	0.276374i	$-0.910867\pi$
$347$	0.451683	−	8.33079i	0.0242476	−	0.447220i	0.985298	−	0.170846i	$-0.0546502\pi$
$348$	6.27622	−	0.682580i	0.336441	−	0.0365901i
$349$	−11.7844	−	7.09042i	−0.630803	−	0.379542i	0.163955	−	0.986468i	$-0.447575\pi$
$349$	−11.7844	−	7.09042i	−0.630803	−	0.379542i	−0.794758	+	0.606926i	$0.792402\pi$
$350$	−10.5164	+	12.3808i	−0.562123	+	0.661783i
$351$	−1.45887	−	0.491549i	−0.0778685	−	0.0262370i
$352$	−4.46127	+	2.06400i	−0.237787	+	0.110012i
$353$	−9.68398			−0.515426			−0.257713	−	0.966221i	$-0.582969\pi$
$353$	−9.68398			−0.515426			−0.257713	+	0.966221i	$0.582969\pi$
$354$	6.88517	+	3.40506i	0.365943	+	0.180977i
$355$	−7.38238			−0.391816
$356$	−9.60078	+	4.44179i	−0.508840	+	0.235415i
$357$	−10.0670	−	3.39198i	−0.532804	−	0.179522i
$358$	−13.8026	+	16.2497i	−0.729490	+	0.858822i
$359$	−19.6417	−	11.8180i	−1.03665	−	0.623730i	−0.107793	−	0.994173i	$-0.534378\pi$
$359$	−19.6417	−	11.8180i	−1.03665	−	0.623730i	−0.928855	+	0.370443i	$0.879206\pi$
$360$	3.63698	−	0.395546i	0.191686	−	0.0208471i
$361$	0.836711	−	15.4322i	0.0440374	−	0.812223i
$362$	3.80305	−	13.6973i	0.199884	−	0.719917i
$363$	10.4790	+	7.96594i	0.550006	+	0.418103i
$364$	−2.96523	−	0.322488i	−0.155420	−	0.0169030i
$365$	−3.89801	+	23.7768i	−0.204031	+	1.24454i
$366$	−9.52155	+	5.72892i	−0.497699	+	0.299456i
$367$	−2.84286	+	2.16109i	−0.148396	+	0.112808i	−0.676738	−	0.736224i	$-0.736607\pi$
$367$	−2.84286	+	2.16109i	−0.148396	+	0.112808i	0.528342	+	0.849032i	$0.322814\pi$
$368$	−1.50012	−	3.76501i	−0.0781991	−	0.196265i
$369$	−3.25225	−	3.82884i	−0.169305	−	0.199322i
$370$	1.86061	+	11.3492i	0.0967286	+	0.590018i
$371$	0.501199	+	9.24408i	0.0260210	+	0.479929i
$372$	1.26444	+	0.278324i	0.0655580	+	0.0144304i
$373$	14.6694	−	13.8956i	0.759553	−	0.719487i	−0.206325	−	0.978483i	$-0.566150\pi$
$373$	14.6694	−	13.8956i	0.759553	−	0.719487i	0.965878	+	0.258997i	$0.0833918\pi$
$374$	25.5406	−	8.60564i	1.32068	−	0.444987i
$375$	−4.58250	+	11.5012i	−0.236639	+	0.593919i
$376$	−0.268704	−	0.967784i	−0.0138573	−	0.0499096i
$377$	−9.49168	+	2.08928i	−0.488847	+	0.107603i
$378$	1.08731	−	1.60366i	0.0559252	−	0.0824834i
$379$	−2.11892	−	3.99671i	−0.108842	−	0.205297i	0.823108	−	0.567885i	$-0.192238\pi$
$379$	−2.11892	−	3.99671i	−0.108842	−	0.205297i	−0.931950	+	0.362588i	$0.881893\pi$
$380$	10.0588	−	18.9729i	0.516004	−	0.973287i
$381$	1.85274	+	2.73259i	0.0949187	+	0.139995i
$382$	−4.19920	−	3.97770i	−0.214850	−	0.203517i
$383$	−18.1628	−	8.40299i	−0.928074	−	0.429373i	−0.103182	−	0.994663i	$-0.532902\pi$
$383$	−18.1628	−	8.40299i	−0.928074	−	0.429373i	−0.824892	+	0.565290i	$0.808764\pi$
$384$	−0.907575	−	0.419889i	−0.0463145	−	0.0214274i
$385$	−25.2959	−	23.9615i	−1.28920	−	1.22119i
$386$	7.26427	+	10.7140i	0.369741	+	0.545328i
$387$	−4.91001	+	9.26125i	−0.249590	+	0.470776i
$388$	−3.14565	−	5.93333i	−0.159696	−	0.301219i
$389$	−1.25585	+	1.85224i	−0.0636741	+	0.0939123i	−0.858193	−	0.513327i	$-0.828413\pi$
$389$	−1.25585	+	1.85224i	−0.0636741	+	0.0939123i	0.794519	+	0.607239i	$0.207723\pi$
$390$	−5.50030	+	1.21071i	−0.278519	+	0.0613066i
$391$	5.94481	+	21.4113i	0.300642	+	1.08281i
$392$	−1.20148	+	3.01549i	−0.0606839	+	0.152305i
$393$	11.8388	−	3.98895i	0.597187	−	0.201216i
$394$	−17.5866	+	16.6589i	−0.886001	+	0.839265i
$395$	36.3412	+	7.99931i	1.82853	+	0.402489i
$396$	0.266125	+	4.90838i	0.0133733	+	0.246656i
$397$	−1.28476	−	7.83670i	−0.0644804	−	0.393313i	−0.999273	−	0.0381194i	$-0.987863\pi$
$397$	−1.28476	−	7.83670i	−0.0644804	−	0.393313i	0.934793	−	0.355193i	$-0.115585\pi$
$398$	−0.904923	−	1.06536i	−0.0453597	−	0.0534016i
$399$	−4.20954	−	10.5652i	−0.210741	−	0.528919i
$400$	6.67453	−	5.07384i	0.333726	−	0.253692i
$401$	−21.3514	+	12.8467i	−1.06624	+	0.641533i	−0.936732	−	0.350046i	$-0.886166\pi$
$401$	−21.3514	+	12.8467i	−1.06624	+	0.641533i	−0.129503	+	0.991579i	$0.541338\pi$
$402$	−0.524541	+	3.19956i	−0.0261617	+	0.159579i
$403$	−1.98145	−	0.215496i	−0.0987033	−	0.0107346i
$404$	−11.6013	−	8.81911i	−0.577189	−	0.438767i
$405$	0.978733	−	3.52508i	0.0486337	−	0.175163i
$406$	0.662226	−	12.2140i	0.0328657	−	0.606173i
$407$	−15.3622	+	1.67074i	−0.761476	+	0.0828155i
$408$	4.69802	+	2.82671i	0.232587	+	0.139943i
$409$	0.773123	−	0.910191i	0.0382285	−	0.0450060i	−0.742716	−	0.669607i	$-0.766463\pi$
$409$	0.773123	−	0.910191i	0.0382285	−	0.0450060i	0.780944	+	0.624601i	$0.214738\pi$
$410$	−17.4166	−	5.86835i	−0.860147	−	0.289817i
$411$	15.6322	−	7.23220i	0.771077	−	0.356738i
$412$	17.3251			0.853547
$413$	8.66865	−	12.0971i	0.426556	−	0.595257i
$414$	−4.05286			−0.199187
$415$	−50.3123	+	23.2770i	−2.46973	+	1.14262i
$416$	1.45887	+	0.491549i	0.0715268	+	0.0241002i
$417$	−4.65935	+	5.48541i	−0.228169	+	0.268622i
$418$	24.7235	+	14.8756i	1.20927	+	0.727591i
$419$	13.0956	−	1.42423i	0.639763	−	0.0695784i	0.217512	−	0.976058i	$-0.430206\pi$
$419$	13.0956	−	1.42423i	0.639763	−	0.0695784i	0.422251	+	0.906479i	$0.361240\pi$
$420$	0.383751	−	7.07787i	0.0187251	−	0.345365i
$421$	−5.47721	+	19.7271i	−0.266943	+	0.961441i	0.701595	+	0.712576i	$0.252471\pi$
$421$	−5.47721	+	19.7271i	−0.266943	+	0.961441i	−0.968538	+	0.248865i	$0.919942\pi$
$422$	−5.24079	−	3.98395i	−0.255118	−	0.193936i
$423$	−0.998506	−	0.108594i	−0.0485490	−	0.00528002i
$424$	0.773011	−	4.71516i	0.0375407	−	0.228988i
$425$	−39.3887	+	23.6994i	−1.91063	+	1.14959i
$426$	1.60644	−	1.22119i	0.0778325	−	0.0591667i
$427$	7.96908	+	20.0009i	0.385651	+	0.967911i
$428$	13.3537	+	15.7212i	0.645477	+	0.759915i
$429$	−1.22426	−	7.46763i	−0.0591076	−	0.360540i
$430$	2.07616	+	38.2926i	0.100121	+	1.84663i
$431$	5.79665	+	1.27594i	0.279215	+	0.0614598i	0.352370	−	0.935861i	$-0.385376\pi$
$431$	5.79665	+	1.27594i	0.279215	+	0.0614598i	−0.0731552	+	0.997321i	$0.523307\pi$
$432$	−0.725995	+	0.687699i	−0.0349295	+	0.0330870i
$433$	24.3029	−	8.18859i	1.16792	−	0.393518i	0.332486	−	0.943108i	$-0.392112\pi$
$433$	24.3029	−	8.18859i	1.16792	−	0.393518i	0.835435	+	0.549590i	$0.185216\pi$
$434$	0.928497	−	2.33035i	0.0445693	−	0.111861i
$435$	−6.17897	−	22.2546i	−0.296259	−	1.06703i
$436$	−7.60513	+	1.67402i	−0.364220	+	0.0801708i
$437$	−13.3504	+	19.6904i	−0.638637	+	0.941919i
$438$	−3.08492	−	5.81877i	−0.147403	−	0.278031i
$439$	−16.2934	+	30.7327i	−0.777644	+	1.46679i	0.103849	+	0.994593i	$0.466884\pi$
$439$	−16.2934	+	30.7327i	−0.777644	+	1.46679i	−0.881492	+	0.472198i	$0.843461\pi$
$440$	10.0920	+	14.8846i	0.481118	+	0.709596i
$441$	2.35660	+	2.23229i	0.112219	+	0.106300i
$442$	−7.66047	−	3.54411i	−0.364371	−	0.168576i
$443$	14.2550	+	6.59506i	0.677275	+	0.313341i	0.728203	−	0.685362i	$-0.240356\pi$
$443$	14.2550	+	6.59506i	0.677275	+	0.313341i	−0.0509282	+	0.998702i	$0.516218\pi$
$444$	−2.28226	−	2.16187i	−0.108311	−	0.102598i
$445$	21.7183	+	32.0321i	1.02955	+	1.51847i
$446$	0.317377	−	0.598637i	0.0150282	−	0.0283463i
$447$	3.89630	+	7.34920i	0.184289	+	0.347605i
$448$	−1.08731	+	1.60366i	−0.0513705	+	0.0757659i
$449$	26.9328	−	5.92836i	1.27104	−	0.279777i	0.472290	−	0.881443i	$-0.343427\pi$
$449$	26.9328	−	5.92836i	1.27104	−	0.279777i	0.798748	+	0.601666i	$0.205496\pi$
$450$	−2.24299	−	8.07850i	−0.105735	−	0.380824i
$451$	9.14029	−	22.9404i	0.430400	−	1.08022i
$452$	−1.70525	+	0.574566i	−0.0802082	+	0.0270253i
$453$	5.86125	−	5.55207i	0.275386	−	0.260859i
$454$	27.9755	+	6.15787i	1.31296	+	0.289003i
$455$	0.590766	+	10.8960i	0.0276955	+	0.510814i
$456$	0.949633	+	5.79250i	0.0444706	+	0.271259i
$457$	7.96122	+	9.37267i	0.372410	+	0.438435i	0.916160	−	0.400812i	$-0.131272\pi$
$457$	7.96122	+	9.37267i	0.372410	+	0.438435i	−0.543750	+	0.839247i	$0.682996\pi$
$458$	−5.89227	−	14.7885i	−0.275328	−	0.691021i
$459$	4.36486	−	3.31808i	0.203734	−	0.154875i
$460$	−12.7047	+	7.64417i	−0.592360	+	0.356411i
$461$	3.39147	−	20.6871i	0.157957	−	0.963492i	−0.782269	−	0.622940i	$-0.785938\pi$
$461$	3.39147	−	20.6871i	0.157957	−	0.963492i	0.940226	−	0.340552i	$-0.110614\pi$
$462$	9.46821	+	1.02973i	0.440501	+	0.0479074i
$463$	27.0497	+	20.5626i	1.25711	+	0.955627i	0.999942	−	0.0107408i	$-0.00341896\pi$
$463$	27.0497	+	20.5626i	1.25711	+	0.955627i	0.257164	+	0.966368i	$0.417212\pi$
$464$	−1.68897	+	6.08311i	−0.0784083	+	0.282401i
$465$	0.256434	−	4.72965i	0.0118918	−	0.219332i
$466$	−23.1678	+	2.51965i	−1.07323	+	0.116721i
$467$	16.9230	+	10.1823i	0.783105	+	0.471178i	0.850130	−	0.526573i	$-0.176523\pi$
$467$	16.9230	+	10.1823i	0.783105	+	0.471178i	−0.0670255	+	0.997751i	$0.521351\pi$
$468$	0.996620	−	1.17331i	0.0460688	−	0.0542363i
$469$	5.95311	+	2.00584i	0.274889	+	0.0926210i
$470$	−3.33489	+	1.54288i	−0.153827	+	0.0711679i
$471$	21.1313			0.973678
$472$	−5.71169	+	5.13582i	−0.262902	+	0.236395i
$473$	−51.5268			−2.36921
$474$	−9.23128	+	4.27084i	−0.424007	+	0.196166i
$475$	−46.6371	−	15.7139i	−2.13986	−	0.721002i
$476$	6.87726	−	8.09654i	0.315219	−	0.371104i
$477$	−4.09415	−	2.46337i	−0.187458	−	0.112790i
$478$	−3.01986	+	0.328430i	−0.138125	+	0.0150220i
$479$	−1.72008	+	31.7250i	−0.0785924	+	1.44955i	0.647558	+	0.762016i	$0.275790\pi$
$479$	−1.72008	+	31.7250i	−0.0785924	+	1.44955i	−0.726150	+	0.687536i	$0.758692\pi$
$480$	−0.978733	+	3.52508i	−0.0446729	+	0.160897i
$481$	3.85266	+	2.92872i	0.175666	+	0.133538i
$482$	10.2530	+	1.11508i	0.467010	+	0.0507904i
$483$	−1.27039	+	7.74904i	−0.0578048	+	0.352593i
$484$	−11.2789	+	6.78626i	−0.512675	+	0.308466i
$485$	−19.5589	+	14.8683i	−0.888124	+	0.675134i
$486$	0.370138	+	0.928977i	0.0167898	+	0.0421392i
$487$	−8.55852	−	10.0759i	−0.387823	−	0.456581i	0.533257	−	0.845953i	$-0.320968\pi$
$487$	−8.55852	−	10.0759i	−0.387823	−	0.456581i	−0.921080	+	0.389372i	$0.872692\pi$
$488$	−1.79775	−	10.9658i	−0.0813803	−	0.496398i
$489$	−0.0452548	−	0.834675i	−0.00204649	−	0.0377453i
$490$	11.5977	+	2.55285i	0.523932	+	0.115326i
$491$	−23.2712	+	22.0436i	−1.05021	+	0.994815i	−0.999992	−	0.00392260i	$-0.998751\pi$
$491$	−23.2712	+	22.0436i	−1.05021	+	0.994815i	−0.0502216	+	0.998738i	$0.515993\pi$
$492$	4.76069	−	1.60406i	0.214628	−	0.0723168i
$493$	12.8121	−	32.1561i	0.577030	−	1.44824i
$494$	−2.41747	−	8.70694i	−0.108767	−	0.391744i
$495$	17.5629	−	3.86589i	0.789394	−	0.173759i
$496$	−0.726573	+	1.07161i	−0.0326241	+	0.0481169i
$497$	−1.83135	−	3.45430i	−0.0821474	−	0.154946i
$498$	7.09777	−	13.3878i	0.318058	−	0.599922i
$499$	3.63135	+	5.35584i	0.162562	+	0.239760i	0.900242	−	0.435389i	$-0.143389\pi$
$499$	3.63135	+	5.35584i	0.162562	+	0.239760i	−0.737681	+	0.675150i	$0.764079\pi$
$500$	−8.98819	−	8.51406i	−0.401964	−	0.380761i
$501$	12.0320	+	5.56658i	0.537549	+	0.248697i
$502$	1.02223	+	0.472933i	0.0456243	+	0.0211080i
$503$	−12.0740	−	11.4371i	−0.538352	−	0.509954i	0.369508	−	0.929228i	$-0.379526\pi$
$503$	−12.0740	−	11.4371i	−0.538352	−	0.509954i	−0.907860	+	0.419273i	$0.862285\pi$
$504$	1.08731	+	1.60366i	0.0484326	+	0.0714328i
$505$	−24.9726	+	47.1033i	−1.11127	+	2.09607i
$506$	−9.33173	−	17.6015i	−0.414846	−	0.782483i
$507$	5.96547	−	8.79841i	0.264936	−	0.390751i
$508$	−3.22428	+	0.709717i	−0.143054	+	0.0314886i
$509$	4.08767	+	14.7225i	0.181183	+	0.652562i	0.997217	+	0.0745575i	$0.0237544\pi$
$509$	4.08767	+	14.7225i	0.181183	+	0.652562i	−0.816034	+	0.578004i	$0.803832\pi$
$510$	7.42446	−	18.6340i	0.328761	−	0.825127i
$511$	−12.0924	+	4.07441i	−0.534937	+	0.180241i
$512$	0.725995	−	0.687699i	0.0320848	−	0.0303923i
$513$	5.73260	+	1.26184i	0.253100	+	0.0557116i
$514$	1.44294	+	26.6134i	0.0636452	+	1.17387i
$515$	−10.2542	−	62.5477i	−0.451853	−	2.75618i
$516$	−6.78611	−	7.98923i	−0.298742	−	0.351706i
$517$	−1.82744	−	4.58653i	−0.0803708	−	0.201716i
$518$	−4.84887	+	3.68601i	−0.213047	+	0.161954i
$519$	2.49118	−	1.49889i	0.109351	−	0.0657941i
$520$	0.911152	−	5.55778i	0.0399567	−	0.243725i
$521$	27.1621	+	2.95405i	1.18999	+	0.129419i	0.681612	−	0.731714i	$-0.261279\pi$
$521$	27.1621	+	2.95405i	1.18999	+	0.129419i	0.508379	+	0.861133i	$0.330245\pi$
$522$	5.02592	+	3.82060i	0.219978	+	0.167223i
$523$	7.76622	−	27.9714i	0.339593	−	1.22310i	−0.574806	−	0.818290i	$-0.694922\pi$
$523$	7.76622	−	27.9714i	0.339593	−	1.22310i	0.914399	−	0.404814i	$-0.132664\pi$
$524$	−0.676342	+	12.4744i	−0.0295462	+	0.544947i
$525$	−16.1491	+	1.75632i	−0.704805	+	0.0766522i
$526$	−15.3755	−	9.25110i	−0.670402	−	0.403367i
$527$	4.59559	−	5.41035i	0.200187	−	0.235678i
$528$	−4.65828	−	1.56956i	−0.202725	−	0.0683062i
$529$	−5.96670	+	2.76049i	−0.259422	+	0.120021i
$530$	−17.4804			−0.759298
$531$	2.65694	+	7.20699i	0.115301	+	0.312757i
$532$	11.3729			0.493077
$533$	−7.01890	+	3.24729i	−0.304022	+	0.140656i
$534$	−10.0247	−	3.37773i	−0.433813	−	0.146169i
$535$	48.8537	−	57.5150i	2.11213	−	2.48659i
$536$	−2.77816	−	1.67156i	−0.119998	−	0.0722006i
$537$	−21.1955	+	2.30515i	−0.914654	+	0.0994746i
$538$	0.925301	−	17.0662i	0.0398926	−	0.735775i
$539$	−4.26872	+	15.3746i	−0.183867	+	0.662229i
$540$	2.91245	+	2.21399i	0.125332	+	0.0952748i
$541$	−27.2990	−	2.96895i	−1.17368	−	0.127645i	−0.499567	−	0.866275i	$-0.666508\pi$
$541$	−27.2990	−	2.96895i	−1.17368	−	0.127645i	−0.674111	+	0.738630i	$0.735473\pi$
$542$	−4.96221	+	30.2681i	−0.213145	+	1.30013i
$543$	12.1807	−	7.32886i	0.522722	−	0.314511i
$544$	−4.36486	+	3.31808i	−0.187142	+	0.142262i
$545$	10.5448	+	26.4655i	0.451691	+	1.13366i
$546$	−1.93097	−	2.27331i	−0.0826378	−	0.0972887i
$547$	−2.66537	−	16.2580i	−0.113963	−	0.695143i	−0.980573	−	0.196157i	$-0.937154\pi$
$547$	−2.66537	−	16.2580i	−0.113963	−	0.695143i	0.866610	−	0.498987i	$-0.166294\pi$
$548$	0.932493	+	17.1988i	0.0398341	+	0.734697i
$549$	−10.8524	−	2.38879i	−0.463168	−	0.101951i
$550$	29.9203	−	28.3420i	1.27581	−	1.20851i
$551$	35.1177	−	11.8325i	1.49607	−	0.504083i
$552$	1.50012	−	3.76501i	0.0638493	−	0.160250i
$553$	5.27223	+	18.9889i	0.224198	+	0.807488i
$554$	15.5513	−	3.42310i	0.660712	−	0.145434i
$555$	−6.45406	+	9.51903i	−0.273960	+	0.404060i
$556$	−3.37122	−	6.35879i	−0.142971	−	0.269673i
$557$	1.63884	−	3.09118i	0.0694399	−	0.130978i	−0.846362	−	0.532609i	$-0.821212\pi$
$557$	1.63884	−	3.09118i	0.0694399	−	0.130978i	0.915802	+	0.401631i	$0.131557\pi$
$558$	0.726573	+	1.07161i	0.0307583	+	0.0453651i
$559$	11.7154	+	11.0974i	0.495509	+	0.469371i
$560$	6.43314	+	2.97629i	0.271850	+	0.125771i
$561$	24.4605	+	11.3166i	1.03272	+	0.477788i
$562$	−16.1781	−	15.3247i	−0.682432	−	0.646434i
$563$	0.996052	+	1.46907i	0.0419786	+	0.0619138i	0.848099	−	0.529838i	$-0.177747\pi$
$563$	0.996052	+	1.46907i	0.0419786	+	0.0619138i	−0.806121	+	0.591751i	$0.798437\pi$
$564$	0.470466	−	0.887394i	0.0198102	−	0.0373660i
$565$	3.08360	+	5.81629i	0.129728	+	0.244693i
$566$	−4.95881	+	7.31370i	−0.208434	+	0.307418i
$567$	1.89222	−	0.416509i	0.0794657	−	0.0174917i
$568$	0.539848	+	1.94436i	0.0226515	+	0.0815834i
$569$	−9.62576	+	24.1588i	−0.403533	+	1.01279i	0.577054	+	0.816706i	$0.304202\pi$
$569$	−9.62576	+	24.1588i	−0.403533	+	1.01279i	−0.980587	+	0.196085i	$0.937177\pi$
$570$	20.3502	−	6.85679i	0.852378	−	0.287200i
$571$	6.08985	−	5.76862i	0.254852	−	0.241409i	−0.549597	−	0.835430i	$-0.685219\pi$
$571$	6.08985	−	5.76862i	0.254852	−	0.241409i	0.804450	+	0.594021i	$0.202460\pi$
$572$	7.39040	+	1.62675i	0.309008	+	0.0680178i
$573$	−0.313143	−	5.77558i	−0.0130817	−	0.241278i
$574$	−1.57469	−	9.60521i	−0.0657264	−	0.400914i
$575$	21.9979	+	25.8980i	0.917377	+	1.08002i
$576$	−0.370138	−	0.928977i	−0.0154224	−	0.0387074i
$577$	−23.5629	+	17.9121i	−0.980938	+	0.745690i	−0.967148	−	0.254215i	$-0.918183\pi$
$577$	−23.5629	+	17.9121i	−0.980938	+	0.745690i	−0.0137905	+	0.999905i	$0.504390\pi$
$578$	11.1920	−	6.73399i	0.465525	−	0.280097i
$579$	−2.09418	+	12.7739i	−0.0870312	+	0.530867i
$580$	22.9611	+	2.49717i	0.953408	+	0.103689i
$581$	−23.3726	−	17.7674i	−0.969657	−	0.737114i
$582$	1.79662	−	6.47083i	0.0744722	−	0.268225i
$583$	1.27157	−	23.4528i	0.0526631	−	0.971314i
$584$	6.54734	−	0.712067i	0.270931	−	0.0294655i
$585$	−4.82580	−	2.90359i	−0.199522	−	0.120049i
$586$	−18.7022	+	22.0179i	−0.772579	+	0.909551i
$587$	−6.40573	−	2.15834i	−0.264393	−	0.0890843i	0.183983	−	0.982929i	$-0.441101\pi$
$587$	−6.40573	−	2.15834i	−0.264393	−	0.0890843i	−0.448376	+	0.893845i	$0.647997\pi$
$588$	−2.94602	+	1.36297i	−0.121492	+	0.0562080i
$589$	7.59971			0.313140
$590$	21.9221	+	17.5808i	0.902518	+	0.723790i
$591$	−24.2241			−0.996448
$592$	2.85308	−	1.31997i	0.117261	−	0.0542506i
$593$	4.68524	+	1.57864i	0.192400	+	0.0648270i	0.413852	−	0.910344i	$-0.364183\pi$
$593$	4.68524	+	1.57864i	0.192400	+	0.0648270i	−0.221452	+	0.975171i	$0.571080\pi$
$594$	−3.18229	+	3.74648i	−0.130571	+	0.153720i
$595$	−33.3008	−	20.0364i	−1.36520	−	0.821414i
$596$	−8.26941	+	0.899352i	−0.338728	+	0.0368389i
$597$	0.0756759	−	1.39576i	0.00309721	−	0.0571247i
$598$	−1.66916	+	6.01176i	−0.0682569	+	0.245839i
$599$	15.0605	+	11.4487i	0.615356	+	0.467781i	0.865827	−	0.500343i	$-0.166793\pi$
$599$	15.0605	+	11.4487i	0.615356	+	0.467781i	−0.250472	+	0.968124i	$0.580586\pi$
$600$	8.33496	+	0.906481i	0.340273	+	0.0370069i
$601$	5.85873	−	35.7367i	0.238983	−	1.45773i	−0.545777	−	0.837930i	$-0.683766\pi$
$601$	5.85873	−	35.7367i	0.238983	−	1.45773i	0.784760	−	0.619800i	$-0.212786\pi$
$602$	−17.4025	+	10.4707i	−0.709272	+	0.426755i
$603$	−2.58115	+	1.96214i	−0.105113	+	0.0799045i
$604$	2.98827	+	7.50000i	0.121591	+	0.305171i
$605$	31.1756	+	36.7027i	1.26747	+	1.49218i
$606$	−2.35763	−	14.3809i	−0.0957720	−	0.584183i
$607$	0.391748	+	7.22537i	0.0159006	+	0.293269i	0.995658	+	0.0930824i	$0.0296720\pi$
$607$	0.391748	+	7.22537i	0.0159006	+	0.293269i	−0.979758	+	0.200186i	$0.935845\pi$
$608$	−5.73260	−	1.26184i	−0.232487	−	0.0511744i
$609$	8.88037	−	8.41193i	0.359851	−	0.340869i
$610$	−38.5250	+	12.9806i	−1.55983	+	0.525569i
$611$	−0.572313	+	1.43640i	−0.0231533	+	0.0581104i
$612$	1.46682	+	5.28300i	0.0592926	+	0.213553i
$613$	25.0606	−	5.51626i	1.01219	−	0.222799i	0.322240	−	0.946658i	$-0.395564\pi$
$613$	25.0606	−	5.51626i	1.01219	−	0.222799i	0.689948	+	0.723859i	$0.257633\pi$
$614$	0.534279	−	0.788003i	0.0215618	−	0.0318012i
$615$	−8.60874	−	16.2378i	−0.347138	−	0.654772i
$616$	−4.46114	+	8.41461i	−0.179745	+	0.339034i
$617$	3.68398	+	5.43346i	0.148311	+	0.218743i	0.894587	−	0.446895i	$-0.147470\pi$
$617$	3.68398	+	5.43346i	0.148311	+	0.218743i	−0.746275	+	0.665637i	$0.768160\pi$
$618$	12.5780	+	11.9145i	0.505960	+	0.479270i
$619$	1.01788	+	0.470920i	0.0409119	+	0.0189279i	0.440238	−	0.897881i	$-0.354894\pi$
$619$	1.01788	+	0.470920i	0.0409119	+	0.0189279i	−0.399326	+	0.916809i	$0.630756\pi$
$620$	4.29881	+	1.98884i	0.172645	+	0.0798739i
$621$	−2.94236	−	2.78715i	−0.118073	−	0.111844i
$622$	−16.2438	−	23.9578i	−0.651318	−	0.960622i
$623$	−9.60050	+	18.1085i	−0.384636	+	0.725500i
$624$	0.721092	+	1.36012i	0.0288668	+	0.0544485i
$625$	−1.89270	+	2.79152i	−0.0757079	+	0.111661i
$626$	−30.6320	+	6.74262i	−1.22430	+	0.269489i
$627$	7.71918	+	27.8020i	0.308274	+	1.11030i
$628$	−7.82149	+	19.6305i	−0.312111	+	0.783341i
$629$	−16.3338	+	5.50349i	−0.651270	+	0.219439i
$630$	5.14605	−	4.87460i	0.205024	−	0.194209i
$631$	−4.78381	−	1.05300i	−0.190441	−	0.0419192i	0.118726	−	0.992927i	$-0.462119\pi$
$631$	−4.78381	−	1.05300i	−0.190441	−	0.0419192i	−0.309167	+	0.951008i	$0.600050\pi$
$632$	−0.550666	−	10.1564i	−0.0219043	−	0.404002i
$633$	−1.06503	−	6.49642i	−0.0423313	−	0.258209i
$634$	−8.60680	−	10.1327i	−0.341820	−	0.402421i
$635$	4.47059	+	11.2203i	0.177410	+	0.445266i
$636$	3.80382	−	2.89159i	0.150831	−	0.114659i
$637$	4.28180	−	2.57628i	0.169651	−	0.102076i
$638$	−5.02062	+	30.6244i	−0.198768	+	1.21243i
$639$	2.00608	+	0.218174i	0.0793593	+	0.00863085i
$640$	−2.91245	−	2.21399i	−0.115125	−	0.0875155i
$641$	8.19861	−	29.5287i	0.323826	−	1.16631i	−0.605131	−	0.796126i	$-0.706879\pi$
$641$	8.19861	−	29.5287i	0.323826	−	1.16631i	0.928957	−	0.370188i	$-0.120707\pi$
$642$	−1.11673	+	20.5969i	−0.0440739	+	0.812895i
$643$	−0.313445	+	0.0340892i	−0.0123611	+	0.00134435i	−0.114297	−	0.993447i	$-0.536462\pi$
$643$	−0.313445	+	0.0340892i	−0.0123611	+	0.00134435i	0.101936	+	0.994791i	$0.467496\pi$
$644$	−6.72846	−	4.04838i	−0.265138	−	0.159528i
$645$	−24.8265	+	29.2280i	−0.977542	+	1.15085i
$646$	30.4987	+	10.2762i	1.19996	+	0.404312i
$647$	−38.9330	+	18.0123i	−1.53061	+	0.708137i	−0.991011	−	0.133783i	$-0.957288\pi$
$647$	−38.9330	+	18.0123i	−1.53061	+	0.708137i	−0.539602	+	0.841920i	$0.681425\pi$
$648$	−1.00000			−0.0392837
$649$	−25.1822	+	28.1332i	−0.988488	+	1.10432i
$650$	−12.9069			−0.506251
$651$	2.27667	−	1.05330i	0.0892296	−	0.0412820i
$652$	0.792144	+	0.266905i	0.0310228	+	0.0104528i
$653$	16.2705	−	19.1551i	0.636713	−	0.749597i	−0.345283	−	0.938499i	$-0.612217\pi$
$653$	16.2705	−	19.1551i	0.636713	−	0.749597i	0.981996	+	0.188902i	$0.0604929\pi$
$654$	−6.67251	−	4.01472i	−0.260916	−	0.156988i
$655$	45.4358	−	4.94144i	1.77532	−	0.193078i
$656$	−0.271976	+	5.01629i	−0.0106189	+	0.195853i
$657$	1.76193	−	6.34589i	0.0687394	−	0.247577i
$658$	−1.54922	−	1.17769i	−0.0603949	−	0.0459110i
$659$	−3.98467	−	0.433359i	−0.155221	−	0.0168813i	0.0301788	−	0.999545i	$-0.490392\pi$
$659$	−3.98467	−	0.433359i	−0.155221	−	0.0168813i	−0.185399	+	0.982663i	$0.559358\pi$
$660$	−2.90938	+	17.7464i	−0.113248	+	0.690779i
$661$	13.3926	−	8.05804i	0.520911	−	0.313422i	−0.230704	−	0.973024i	$-0.574103\pi$
$661$	13.3926	−	8.05804i	0.520911	−	0.313422i	0.751615	+	0.659602i	$0.229275\pi$
$662$	3.53033	−	2.68368i	0.137210	−	0.104304i
$663$	−3.12418	−	7.84111i	−0.121333	−	0.304523i
$664$	9.80981	+	11.5490i	0.380694	+	0.448188i
$665$	−6.73125	−	41.0588i	−0.261027	−	1.59219i
$666$	−0.170192	−	3.13902i	−0.00659482	−	0.121634i
$667$	−24.9884	−	5.50037i	−0.967556	−	0.212975i
$668$	−9.62471	+	9.11701i	−0.372391	+	0.352748i
$669$	0.642097	−	0.216348i	0.0248249	−	0.00836448i
$670$	−4.39044	+	11.0192i	−0.169617	+	0.425707i
$671$	−14.6132	−	52.6319i	−0.564136	−	2.03183i
$672$	−1.89222	+	0.416509i	−0.0729939	+	0.0160672i
$673$	−10.5575	+	15.5711i	−0.406961	+	0.600222i	−0.974844	−	0.222886i	$-0.928452\pi$
$673$	−10.5575	+	15.5711i	−0.406961	+	0.600222i	0.567883	+	0.823109i	$0.307762\pi$
$674$	10.4313	+	19.6756i	0.401800	+	0.757876i
$675$	3.92718	−	7.40746i	0.151157	−	0.285113i
$676$	5.96547	+	8.79841i	0.229441	+	0.338400i
$677$	−4.35858	−	4.12867i	−0.167514	−	0.158678i	0.599351	−	0.800487i	$-0.295426\pi$
$677$	−4.35858	−	4.12867i	−0.167514	−	0.158678i	−0.766864	+	0.641809i	$0.778184\pi$
$678$	−1.63313	−	0.755568i	−0.0627201	−	0.0290174i
$679$	−11.8090	−	5.46344i	−0.453189	−	0.209668i
$680$	14.5625	+	13.7943i	0.558445	+	0.528987i
$681$	16.0753	+	23.7093i	0.616008	+	0.908543i
$682$	−2.98107	+	5.62289i	−0.114151	+	0.215312i
$683$	−13.3986	−	25.2725i	−0.512684	−	0.967025i	−0.995808	−	0.0914730i	$-0.970842\pi$
$683$	−13.3986	−	25.2725i	−0.512684	−	0.967025i	0.483123	−	0.875552i	$-0.339502\pi$
$684$	−3.29407	+	4.85839i	−0.125952	+	0.185765i
$685$	61.5399	−	13.5459i	2.35132	−	0.517564i
$686$	5.31093	+	19.1283i	0.202772	+	0.730320i
$687$	5.89227	−	14.7885i	0.224804	−	0.564216i
$688$	9.93360	−	3.34702i	0.378715	−	0.127604i
$689$	−5.34018	+	5.05848i	−0.203444	+	0.192713i
$690$	−14.4804	−	3.18739i	−0.551261	−	0.121342i
$691$	0.996505	+	18.3795i	0.0379088	+	0.699187i	0.954290	+	0.298881i	$0.0966135\pi$
$691$	0.996505	+	18.3795i	0.0379088	+	0.699187i	−0.916381	+	0.400306i	$0.868904\pi$
$692$	0.470356	+	2.86905i	0.0178803	+	0.109065i
$693$	6.16574	+	7.25886i	0.234217	+	0.275741i
$694$	3.08807	+	7.75048i	0.117222	+	0.294204i
$695$	−20.9614	+	15.9344i	−0.795111	+	0.604428i
$696$	−5.40953	+	3.25481i	−0.205048	+	0.123373i
$697$	4.45612	−	27.1811i	0.168788	−	1.02956i
$698$	13.6724	+	1.48696i	0.517508	+	0.0562824i
$699$	−18.5525	−	14.1032i	−0.701720	−	0.533433i
$700$	4.34582	−	15.6522i	0.164257	−	0.591599i
$701$	1.12627	−	20.7729i	0.0425387	−	0.784581i	−0.896977	−	0.442076i	$-0.854242\pi$
$701$	1.12627	−	20.7729i	0.0425387	−	0.784581i	0.939516	−	0.342504i	$-0.111275\pi$
$702$	1.53043	−	0.166444i	0.0577622	−	0.00628202i
$703$	−15.8112	−	9.51328i	−0.596331	−	0.358800i
$704$	3.18229	−	3.74648i	0.119937	−	0.141201i
$705$	−3.48215	−	1.17327i	−0.131146	−	0.0441881i
$706$	8.78894	−	4.06620i	0.330776	−	0.153033i
$707$	−28.2351			−1.06189
$708$	−7.67856	−	0.199343i	−0.288578	−	0.00749177i
$709$	17.2916			0.649399			0.324699	−	0.945817i	$-0.394737\pi$
$709$	17.2916			0.649399			0.324699	+	0.945817i	$0.394737\pi$
$710$	6.70007	−	3.09978i	0.251449	−	0.116333i
$711$	−9.63892	−	3.24773i	−0.361488	−	0.121799i
$712$	6.84837	−	8.06253i	0.256654	−	0.302156i
$713$	−4.49616	−	2.70525i	−0.168382	−	0.101312i
$714$	10.5608	−	1.14856i	0.395230	−	0.0429838i
$715$	1.49881	−	27.6439i	0.0560522	−	1.03382i
$716$	5.70384	−	20.5434i	0.213162	−	0.767742i
$717$	−2.41827	−	1.83832i	−0.0903119	−	0.0686533i
$718$	22.7885	+	2.47840i	0.850461	+	0.0924932i
$719$	5.21962	−	31.8382i	0.194659	−	1.18737i	−0.690939	−	0.722913i	$-0.742803\pi$
$719$	5.21962	−	31.8382i	0.194659	−	1.18737i	0.885598	−	0.464453i	$-0.153749\pi$
$720$	−3.13475	+	1.88612i	−0.116825	+	0.0702914i
$721$	26.7230	−	20.3143i	0.995217	−	0.756545i
$722$	5.72045	+	14.3572i	0.212893	+	0.534321i
$723$	6.67677	+	7.86050i	0.248312	+	0.292335i
$724$	2.29981	+	14.0282i	0.0854719	+	0.521355i
$725$	−2.86561	−	52.8531i	−0.106426	−	1.96292i
$726$	−12.8553	−	2.82967i	−0.477105	−	0.105019i
$727$	−3.85304	+	3.64979i	−0.142901	+	0.135363i	−0.755811	−	0.654789i	$-0.772757\pi$
$727$	−3.85304	+	3.64979i	−0.142901	+	0.135363i	0.612910	+	0.790153i	$0.289999\pi$
$728$	2.82658	−	0.952385i	0.104760	−	0.0352977i
$729$	−0.370138	+	0.928977i	−0.0137088	+	0.0344065i
$730$	−6.44589	−	23.2160i	−0.238573	−	0.859263i
$731$	−56.1293	+	12.3550i	−2.07602	+	0.456966i
$732$	6.23601	−	9.19742i	0.230490	−	0.339947i
$733$	−15.8272	−	29.8532i	−0.584590	−	1.10265i	−0.982681	−	0.185307i	$-0.940672\pi$
$733$	−15.8272	−	29.8532i	−0.584590	−	1.10265i	0.398091	−	0.917346i	$-0.369673\pi$
$734$	1.67269	−	3.15504i	0.0617403	−	0.116455i
$735$	6.66430	+	9.82911i	0.245816	+	0.362552i
$736$	2.94236	+	2.78715i	0.108457	+	0.102736i
$737$	−14.4646	−	6.69206i	−0.532812	−	0.246505i
$738$	4.55935	+	2.10938i	0.167832	+	0.0776474i
$739$	−2.96605	−	2.80959i	−0.109108	−	0.103353i	0.631201	−	0.775619i	$-0.282562\pi$
$739$	−2.96605	−	2.80959i	−0.109108	−	0.103353i	−0.740309	+	0.672267i	$0.765321\pi$
$740$	−6.45406	−	9.51903i	−0.237256	−	0.349926i
$741$	4.23269	−	7.98370i	0.155492	−	0.293288i
$742$	−4.33636	−	8.17925i	−0.159193	−	0.300270i
$743$	−15.0640	+	22.2178i	−0.552646	+	0.815092i	−0.996722	−	0.0808970i	$-0.974222\pi$
$743$	−15.0640	+	22.2178i	−0.552646	+	0.815092i	0.444076	+	0.895989i	$0.353532\pi$
$744$	−1.26444	+	0.278324i	−0.0463565	+	0.0102038i
$745$	8.14127	+	29.3222i	0.298273	+	1.07428i
$746$	−7.47898	+	18.7708i	−0.273825	+	0.687249i
$747$	14.3597	−	4.83836i	0.525395	−	0.177026i
$748$	−19.5666	+	18.5345i	−0.715427	+	0.677689i
$749$	39.0311	+	8.59139i	1.42617	+	0.313923i
$750$	−0.670267	−	12.3623i	−0.0244747	−	0.451409i
$751$	−3.65926	−	22.3205i	−0.133528	−	0.814486i	−0.965641	−	0.259880i	$-0.916317\pi$
$751$	−3.65926	−	22.3205i	−0.133528	−	0.814486i	0.832113	−	0.554606i	$-0.187131\pi$
$752$	0.650231	+	0.765511i	0.0237115	+	0.0279153i
$753$	0.416897	+	1.04633i	0.0151926	+	0.0381305i
$754$	7.73715	−	5.88163i	0.281771	−	0.214196i
$755$	25.3081	−	15.2274i	0.921056	−	0.554181i
$756$	−0.313455	+	1.91199i	−0.0114003	+	0.0695385i
$757$	16.4745	+	1.79171i	0.598777	+	0.0651209i	0.402488	−	0.915425i	$-0.368145\pi$
$757$	16.4745	+	1.79171i	0.598777	+	0.0651209i	0.196289	+	0.980546i	$0.437111\pi$
$758$	3.60125	+	2.73760i	0.130803	+	0.0994341i
$759$	5.32975	−	19.1960i	0.193458	−	0.696772i
$760$	−1.16260	+	21.4429i	−0.0421719	+	0.777814i
$761$	−28.3575	+	3.08407i	−1.02796	+	0.111797i	−0.606527	−	0.795063i	$-0.707438\pi$
$761$	−28.3575	+	3.08407i	−1.02796	+	0.111797i	−0.421432	+	0.906860i	$0.638472\pi$
$762$	−2.82888	−	1.70208i	−0.102480	−	0.0616600i
$763$	−9.76765	+	11.4994i	−0.353613	+	0.416305i
$764$	5.48128	+	1.84686i	0.198306	+	0.0668170i
$765$	18.2047	−	8.42240i	0.658193	−	0.304512i
$766$	20.0124			0.723077
$767$	11.7847	−	0.972970i	0.425519	−	0.0351319i
$768$	1.00000			0.0360844
$769$	9.50557	−	4.39774i	0.342779	−	0.158587i	−0.240944	−	0.970539i	$-0.577457\pi$
$769$	9.50557	−	4.39774i	0.342779	−	0.158587i	0.583724	+	0.811952i	$0.301595\pi$
$770$	33.0191	+	11.1254i	1.18993	+	0.400933i
$771$	−17.2544	+	20.3135i	−0.621404	+	0.731573i
$772$	−11.0916	−	6.67357i	−0.399194	−	0.240187i
$773$	−44.9163	+	4.88495i	−1.61553	+	0.175699i	−0.870789	−	0.491657i	$-0.836392\pi$
$773$	−44.9163	+	4.88495i	−1.61553	+	0.175699i	−0.744739	+	0.667356i	$0.767426\pi$
$774$	0.567501	−	10.4669i	0.0203984	−	0.376227i
$775$	2.90401	−	10.4593i	0.104315	−	0.375709i
$776$	5.34626	+	4.06412i	0.191919	+	0.145893i
$777$	−6.05512	−	0.658534i	−0.217226	−	0.0236248i
$778$	0.362043	−	2.20837i	0.0129799	−	0.0791738i
$779$	25.2670	−	15.2027i	0.905286	−	0.544692i
$780$	4.48358	−	3.40833i	0.160538	−	0.122038i
$781$	3.67148	+	9.21473i	0.131376	+	0.329729i
$782$	−14.3857	−	16.9362i	−0.514432	−	0.605636i
$783$	1.02137	+	6.23006i	0.0365007	+	0.222644i
$784$	−0.175736	−	3.24127i	−0.00627630	−	0.115760i
$785$	75.4999	+	16.6188i	2.69471	+	0.593149i
$786$	−9.06966	+	8.59124i	−0.323504	+	0.306439i
$787$	−1.19858	+	0.403849i	−0.0427248	+	0.0143957i	−0.340583	−	0.940215i	$-0.610624\pi$
$787$	−1.19858	+	0.403849i	−0.0427248	+	0.0143957i	0.297858	+	0.954610i	$0.403728\pi$
$788$	8.96628	−	22.5037i	0.319410	−	0.801660i
$789$	−4.80053	−	17.2899i	−0.170903	−	0.615538i
$790$	−36.3412	+	7.99931i	−1.29296	+	0.284603i
$791$	−1.95655	+	2.88570i	−0.0695670	+	0.102604i
$792$	−2.30251	−	4.34299i	−0.0818160	−	0.154321i
$793$	−8.01290	+	15.1139i	−0.284546	+	0.536712i
$794$	4.45656	+	6.57294i	0.158158	+	0.233265i
$795$	−12.6907	−	12.0212i	−0.450091	−	0.426349i
$796$	1.26862	+	0.586925i	0.0449650	+	0.0208030i
$797$	0.903011	+	0.417778i	0.0319863	+	0.0147984i	0.435817	−	0.900035i	$-0.356459\pi$
$797$	0.903011	+	0.417778i	0.0319863	+	0.0147984i	−0.403831	+	0.914834i	$0.632322\pi$
$798$	8.25667	+	7.82113i	0.292283	+	0.276865i
$799$	−3.09042	−	4.55803i	−0.109331	−	0.161252i
$800$	−3.92718	+	7.40746i	−0.138847	+	0.261893i
$801$	−4.95505	−	9.34623i	−0.175078	−	0.330233i
$802$	13.9838	−	20.6245i	0.493784	−	0.728278i
$803$	31.6170	−	6.95942i	1.11574	−	0.245593i
$804$	−0.867399	−	3.12409i	−0.0305908	−	0.110178i
$805$	−10.6332	+	26.6874i	−0.374772	+	0.940608i
$806$	1.88880	−	0.636412i	0.0665303	−	0.0224167i
$807$	12.4082	−	11.7536i	0.436788	−	0.413748i
$808$	14.2321	+	3.13273i	0.500685	+	0.110209i
$809$	−0.114374	−	2.10950i	−0.00402118	−	0.0741662i	0.995834	−	0.0911847i	$-0.0290654\pi$
$809$	−0.114374	−	2.10950i	−0.00402118	−	0.0741662i	−0.999855	+	0.0170184i	$0.994583\pi$
$810$	0.591868	+	3.61023i	0.0207961	+	0.126851i
$811$	−17.3197	−	20.3904i	−0.608178	−	0.716003i	0.368760	−	0.929525i	$-0.379782\pi$
$811$	−17.3197	−	20.3904i	−0.608178	−	0.716003i	−0.976938	+	0.213522i	$0.931507\pi$
$812$	4.52752	+	11.3632i	0.158885	+	0.398771i
$813$	−24.4179	+	18.5620i	−0.856374	+	0.650999i
$814$	13.2408	−	7.96674i	0.464091	−	0.279234i
$815$	0.494743	−	3.01780i	0.0173301	−	0.105709i
$816$	−5.45071	−	0.592801i	−0.190813	−	0.0207522i
$817$	−48.9831	−	37.2360i	−1.71370	−	1.30272i
$818$	−0.319488	+	1.15069i	−0.0111706	+	0.0402330i
$819$	0.161481	−	2.97834i	0.00564260	−	0.104072i
$820$	18.2710	−	1.98709i	0.638050	−	0.0693921i
$821$	−14.1322	−	8.50304i	−0.493216	−	0.296758i	0.247132	−	0.968982i	$-0.420512\pi$
$821$	−14.1322	−	8.50304i	−0.493216	−	0.296758i	−0.740348	+	0.672223i	$0.765339\pi$
$822$	−11.1506	+	13.1275i	−0.388923	+	0.457876i
$823$	24.5244	+	8.26324i	0.854867	+	0.288038i	0.712411	−	0.701763i	$-0.247603\pi$
$823$	24.5244	+	8.26324i	0.854867	+	0.288038i	0.142457	+	0.989801i	$0.454500\pi$
$824$	−15.7239	+	7.27463i	−0.547766	+	0.253424i
$825$	41.2128			1.43485
$826$	−2.78803	+	14.6189i	−0.0970079	+	0.508655i
$827$	−39.3279			−1.36757			−0.683783	−	0.729686i	$-0.739666\pi$
$827$	−39.3279			−1.36757			−0.683783	+	0.729686i	$0.739666\pi$
$828$	3.67828	−	1.70175i	0.127829	−	0.0591400i
$829$	38.2081	+	12.8738i	1.32702	+	0.447126i	0.891488	−	0.453045i	$-0.149662\pi$
$829$	38.2081	+	12.8738i	1.32702	+	0.447126i	0.435536	+	0.900171i	$0.356559\pi$
$830$	35.8885	−	42.2512i	1.24571	−	1.46656i
$831$	13.6442	+	8.20947i	0.473314	+	0.284783i
$832$	−1.53043	+	0.166444i	−0.0530580	+	0.00577041i
$833$	−0.963537	+	17.7714i	−0.0333846	+	0.615742i
$834$	1.92545	−	6.93483i	0.0666728	−	0.240134i
$835$	38.6111	+	29.3514i	1.33619	+	1.01575i
$836$	−28.6845	−	3.11963i	−0.992076	−	0.107895i
$837$	−0.209460	+	1.27765i	−0.00724000	+	0.0441621i
$838$	−11.2872	+	6.79131i	−0.389911	+	0.234602i
$839$	13.5988	−	10.3375i	0.469481	−	0.356890i	−0.343527	−	0.939143i	$-0.611622\pi$
$839$	13.5988	−	10.3375i	0.469481	−	0.356890i	0.813008	+	0.582253i	$0.197829\pi$
$840$	2.62364	+	6.58484i	0.0905241	+	0.227198i
$841$	7.02857	+	8.27467i	0.242365	+	0.285334i
$842$	−3.31222	−	20.2037i	−0.114147	−	0.696265i
$843$	−1.20643	−	22.2513i	−0.0415518	−	0.766377i
$844$	6.42923	+	1.41518i	0.221303	+	0.0487125i
$845$	28.2335	−	26.7442i	0.971264	−	0.920030i
$846$	0.951817	−	0.320704i	0.0327241	−	0.0110260i
$847$	−9.43987	+	23.6923i	−0.324358	+	0.814076i
$848$	1.27828	+	4.60394i	0.0438963	+	0.158100i
$849$	−8.62970	+	1.89954i	−0.296170	+	0.0651920i
$850$	25.7971	−	38.0479i	0.884833	−	1.30503i
$851$	5.96784	+	11.2565i	0.204575	+	0.385869i
$852$	−0.945206	+	1.78285i	−0.0323822	+	0.0610794i
$853$	31.3869	+	46.2922i	1.07467	+	1.58501i	0.776084	+	0.630630i	$0.217203\pi$
$853$	31.3869	+	46.2922i	1.07467	+	1.58501i	0.298582	+	0.954384i	$0.403486\pi$
$854$	−15.6307	−	14.8062i	−0.534872	−	0.506657i
$855$	19.4896	+	9.01685i	0.666530	+	0.308370i
$856$	−18.7207	−	8.66112i	−0.639860	−	0.296031i
$857$	27.7513	+	26.2875i	0.947967	+	0.897962i	0.994893	−	0.100936i	$-0.0321838\pi$
$857$	27.7513	+	26.2875i	0.947967	+	0.897962i	−0.0469257	+	0.998898i	$0.514942\pi$
$858$	4.24668	+	6.26338i	0.144979	+	0.213828i
$859$	−20.2850	+	38.2615i	−0.692115	+	1.30547i	0.249369	+	0.968409i	$0.419777\pi$
$859$	−20.2850	+	38.2615i	−0.692115	+	1.30547i	−0.941484	+	0.337058i	$0.890568\pi$
$860$	−17.9629	−	33.8816i	−0.612530	−	1.15535i
$861$	5.46228	−	8.05625i	0.186154	−	0.274556i
$862$	−5.79665	+	1.27594i	−0.197435	+	0.0434587i
$863$	3.81145	+	13.7276i	0.129743	+	0.467293i	0.999665	−	0.0258974i	$-0.00824431\pi$
$863$	3.81145	+	13.7276i	0.129743	+	0.467293i	−0.869921	+	0.493191i	$0.835831\pi$
$864$	0.370138	−	0.928977i	0.0125924	−	0.0316044i
$865$	10.0795	−	3.39619i	0.342715	−	0.115474i
$866$	−18.6184	+	17.6363i	−0.632678	+	0.599305i
$867$	12.7563	+	2.80787i	0.433226	+	0.0953603i
$868$	0.135808	+	2.50484i	0.00460963	+	0.0850197i
$869$	−8.08882	−	49.3396i	−0.274394	−	1.67373i
$870$	14.9524	+	17.6033i	0.506932	+	0.596807i
$871$	1.84748	+	4.63682i	0.0625994	+	0.157113i
$872$	6.19933	−	4.71261i	0.209936	−	0.159589i
$873$	5.75433	−	3.46226i	0.194754	−	0.117180i
$874$	3.84873	−	23.4762i	0.130185	−	0.794094i
$875$	−23.8468	−	2.59350i	−0.806169	−	0.0876762i
$876$	5.24303	+	3.98565i	0.177146	+	0.134663i
$877$	4.98989	−	17.9719i	0.168496	−	0.606870i	−0.830277	−	0.557351i	$-0.811818\pi$
$877$	4.98989	−	17.9719i	0.168496	−	0.606870i	0.998773	−	0.0495182i	$-0.0157686\pi$
$878$	1.88321	−	34.7337i	0.0635551	−	1.17220i
$879$	−28.7194	+	3.12342i	−0.968681	+	0.105350i
$880$	−15.4092	−	9.27138i	−0.519443	−	0.312538i
$881$	1.58286	−	1.86349i	0.0533279	−	0.0627824i	−0.734851	−	0.678228i	$-0.762748\pi$
$881$	1.58286	−	1.86349i	0.0533279	−	0.0627824i	0.788179	+	0.615446i	$0.211024\pi$
$882$	−3.07611	−	1.03646i	−0.103578	−	0.0348995i
$883$	20.9146	−	9.67613i	0.703833	−	0.325628i	−0.0351217	−	0.999383i	$-0.511182\pi$
$883$	20.9146	−	9.67613i	0.703833	−	0.325628i	0.738955	+	0.673755i	$0.235320\pi$
$884$	8.44058			0.283888
$885$	3.82502	+	27.8394i	0.128577	+	0.935811i
$886$	−15.7067			−0.527676
$887$	7.76213	−	3.59114i	0.260627	−	0.120579i	−0.285225	−	0.958461i	$-0.592068\pi$
$887$	7.76213	−	3.59114i	0.260627	−	0.120579i	0.545852	+	0.837882i	$0.316206\pi$
$888$	2.97907	+	1.00376i	0.0999709	+	0.0336841i
$889$	−4.14110	+	4.87528i	−0.138888	+	0.163512i
$890$	−33.1609	−	19.9523i	−1.11156	−	0.668802i
$891$	−4.88678	+	0.531469i	−0.163713	+	0.0178049i
$892$	−0.0366826	+	0.676571i	−0.00122823	+	0.0226533i
$893$	1.57725	−	5.68072i	0.0527805	−	0.190098i
$894$	−6.62204	−	5.03394i	−0.221474	−	0.168360i
$895$	−77.5423	−	8.43323i	−2.59195	−	0.281892i
$896$	0.313455	−	1.91199i	0.0104718	−	0.0638752i
$897$	−5.34609	+	3.21663i	−0.178501	+	0.107400i
$898$	−21.9543	+	16.6892i	−0.732625	+	0.556927i
$899$	3.02543	+	7.59325i	0.100904	+	0.253249i
$900$	5.42775	+	6.39005i	0.180925	+	0.213002i
$901$	−4.23831	−	25.8525i	−0.141198	−	0.861272i
$902$	1.33692	+	24.6581i	0.0445146	+	0.821024i
$903$	−19.8348	−	4.36598i	−0.660062	−	0.145291i
$904$	1.30639	−	1.23748i	0.0434499	−	0.0411579i
$905$	49.2840	−	16.6057i	1.63826	−	0.551993i
$906$	−2.98827	+	7.50000i	−0.0992788	+	0.249171i
$907$	−1.19587	−	4.30715i	−0.0397083	−	0.143016i	0.941039	−	0.338299i	$-0.109851\pi$
$907$	−1.19587	−	4.30715i	−0.0397083	−	0.143016i	−0.980747	+	0.195282i	$0.937438\pi$
$908$	−27.9755	+	6.15787i	−0.928399	+	0.204356i
$909$	8.17810	−	12.0618i	0.271250	−	0.400064i
$910$	−5.11129	−	9.64092i	−0.169438	−	0.319593i
$911$	21.2811	−	40.1404i	0.705074	−	1.32991i	−0.229209	−	0.973377i	$-0.573614\pi$
$911$	21.2811	−	40.1404i	0.705074	−	1.32991i	0.934283	−	0.356533i	$-0.116041\pi$
$912$	−3.29407	−	4.85839i	−0.109078	−	0.160877i
$913$	54.0763	+	51.2238i	1.78966	+	1.69526i
$914$	−11.1609	−	5.16358i	−0.369170	−	0.170796i
$915$	−36.8958	−	17.0698i	−1.21974	−	0.564310i
$916$	11.5572	+	10.9476i	0.381861	+	0.361718i
$917$	13.5835	+	20.0341i	0.448565	+	0.661584i
$918$	−2.56821	+	4.84417i	−0.0847637	+	0.159881i
$919$	−16.0198	−	30.2166i	−0.528445	−	0.996753i	−0.993753	−	0.111604i	$-0.964401\pi$
$919$	−16.0198	−	30.2166i	−0.528445	−	0.996753i	0.465308	−	0.885149i	$-0.345944\pi$
$920$	8.32078	−	12.2722i	0.274328	−	0.404603i
$921$	0.929794	−	0.204663i	0.0306377	−	0.00674388i
$922$	5.60825	+	20.1991i	0.184698	+	0.665222i
$923$	1.14982	−	2.88584i	0.0378469	−	0.0949887i
$924$	−9.02549	+	3.04104i	−0.296917	+	0.100043i
$925$	−19.1347	+	18.1253i	−0.629145	+	0.595957i
$926$	−33.1837	−	7.30428i	−1.09048	−	0.240033i
$927$	0.937963	+	17.2997i	0.0308067	+	0.568197i
$928$	−1.02137	−	6.23006i	−0.0335280	−	0.204512i
$929$	33.8658	+	39.8699i	1.11110	+	1.30809i	0.946852	+	0.321671i	$0.104244\pi$
$929$	33.8658	+	39.8699i	1.11110	+	1.30809i	0.164250	+	0.986419i	$0.447480\pi$
$930$	1.75319	+	4.40018i	0.0574895	+	0.144288i
$931$	−15.1685	+	11.5308i	−0.497126	+	0.377906i
$932$	19.9686	−	12.0147i	0.654092	−	0.393554i
$933$	4.68285	−	28.5641i	0.153310	−	0.935148i
$934$	−19.6343	−	2.13536i	−0.642455	−	0.0698712i
$935$	78.4948	+	59.6702i	2.56705	+	1.95142i
$936$	−0.411847	+	1.48334i	−0.0134616	+	0.0484844i
$937$	−2.85087	+	52.5812i	−0.0931338	+	1.71775i	0.462747	+	0.886491i	$0.346864\pi$
$937$	−2.85087	+	52.5812i	−0.0931338	+	1.71775i	−0.555881	+	0.831262i	$0.687619\pi$
$938$	−6.24513	+	0.679199i	−0.203911	+	0.0221766i
$939$	−26.8756	−	16.1705i	−0.877053	−	0.527705i
$940$	2.37882	−	2.80057i	0.0775886	−	0.0913444i
$941$	11.6080	+	3.91119i	0.378410	+	0.127501i	0.502078	−	0.864822i	$-0.332569\pi$
$941$	11.6080	+	3.91119i	0.378410	+	0.127501i	−0.123668	+	0.992324i	$0.539466\pi$
$942$	−19.1782	+	8.87279i	−0.624860	+	0.289091i
$943$	−20.3602			−0.663019
$944$	3.02731	−	7.05942i	0.0985306	−	0.229764i
$945$	7.08827			0.230581
$946$	46.7645	−	21.6355i	1.52044	−	0.703432i
$947$	2.42788	+	0.818048i	0.0788955	+	0.0265830i	0.358473	−	0.933540i	$-0.383298\pi$
$947$	2.42788	+	0.818048i	0.0788955	+	0.0265830i	−0.279577	+	0.960123i	$0.590194\pi$
$948$	6.58480	−	7.75222i	0.213864	−	0.251781i
$949$	−8.68746	−	5.22707i	−0.282007	−	0.169678i
$950$	48.9248	−	5.32089i	1.58733	−	0.172632i
$951$	0.719760	−	13.2752i	0.0233398	−	0.430478i
$952$	−2.84198	+	10.2359i	−0.0921093	+	0.331748i
$953$	−37.1413	−	28.2341i	−1.20312	−	0.914592i	−0.205183	−	0.978724i	$-0.565779\pi$
$953$	−37.1413	−	28.2341i	−1.20312	−	0.914592i	−0.997941	+	0.0641321i	$0.979572\pi$
$954$	4.75009	+	0.516604i	0.153790	+	0.0167257i
$955$	3.42340	−	20.8818i	0.110779	−	0.675720i
$956$	2.60285	−	1.56608i	0.0841822	−	0.0506507i
$957$	−24.7054	+	18.7805i	−0.798611	+	0.607088i
$958$	−11.7599	−	29.5151i	−0.379944	−	0.953589i
$959$	21.6045	+	25.4348i	0.697647	+	0.821333i
$960$	−0.591868	−	3.61023i	−0.0191025	−	0.116520i
$961$	−1.58756	−	29.2807i	−0.0512115	−	0.944540i
$962$	−4.72632	−	1.04034i	−0.152383	−	0.0335419i
$963$	−14.9752	+	14.1853i	−0.482570	+	0.457114i
$964$	−9.77355	+	3.29309i	−0.314785	+	0.106063i
$965$	−17.5284	+	43.9930i	−0.564260	+	1.41618i
$966$	−2.10076	−	7.56626i	−0.0675909	−	0.243440i
$967$	−7.95862	+	1.75183i	−0.255932	+	0.0563349i	−0.341083	−	0.940033i	$-0.610794\pi$
$967$	−7.95862	+	1.75183i	−0.255932	+	0.0563349i	0.0851510	+	0.996368i	$0.472863\pi$
$968$	7.38693	−	10.8949i	0.237425	−	0.350176i
$969$	15.0750	+	28.4344i	0.484278	+	0.913445i
$970$	11.5081	−	21.7067i	0.369504	−	0.696959i
$971$	−26.5141	−	39.1054i	−0.850878	−	1.25495i	−0.965201	−	0.261508i	$-0.915780\pi$
$971$	−26.5141	−	39.1054i	−0.850878	−	1.25495i	0.114323	−	0.993444i	$-0.463530\pi$
$972$	−0.725995	−	0.687699i	−0.0232863	−	0.0220580i
$973$	−12.6558	−	5.85520i	−0.405727	−	0.187709i
$974$	11.9982	+	5.55098i	0.384449	+	0.177865i
$975$	−9.37037	−	8.87608i	−0.300092	−	0.284262i
$976$	6.23601	+	9.19742i	0.199610	+	0.294402i
$977$	−3.70233	+	6.98334i	−0.118448	+	0.223417i	−0.935646	−	0.352941i	$-0.885182\pi$
$977$	−3.70233	+	6.98334i	−0.118448	+	0.223417i	0.817198	+	0.576358i	$0.195526\pi$
$978$	0.391543	+	0.738529i	0.0125202	+	0.0236155i
$979$	29.1815	−	43.0395i	0.932644	−	1.37555i
$980$	−11.5977	+	2.55285i	−0.370476	+	0.0815479i
$981$	−2.08329	−	7.50335i	−0.0665145	−	0.239564i
$982$	11.8645	−	29.7776i	0.378611	−	0.950241i
$983$	−18.0083	+	6.06770i	−0.574375	+	0.193530i	−0.591474	−	0.806324i	$-0.701454\pi$
$983$	−18.0083	+	6.06770i	−0.574375	+	0.193530i	0.0170984	+	0.999854i	$0.494557\pi$
$984$	−3.64716	+	3.45477i	−0.116267	+	0.110134i
$985$	−86.5504	−	19.0512i	−2.75772	−	0.607021i
$986$	1.87399	+	34.5637i	0.0596800	+	1.10073i
$987$	−0.314833	−	1.92039i	−0.0100212	−	0.0611268i
$988$	5.84999	+	6.88714i	0.186113	+	0.219109i
$989$	15.7247	+	39.4661i	0.500017	+	1.25495i
$990$	−14.3164	+	10.8831i	−0.455006	+	0.345886i
$991$	−40.0942	+	24.1239i	−1.27363	+	0.766320i	−0.981758	−	0.190136i	$-0.939107\pi$
$991$	−40.0942	+	24.1239i	−1.27363	+	0.766320i	−0.291876	+	0.956456i	$0.594280\pi$
$992$	0.209460	−	1.27765i	0.00665037	−	0.0405655i
$993$	4.40857	+	0.479461i	0.139902	+	0.0152152i
$994$	3.11251	+	2.36607i	0.0987229	+	0.0750472i
$995$	1.36808	−	4.92739i	0.0433712	−	0.156209i
$996$	−0.820364	+	15.1307i	−0.0259942	+	0.479435i
$997$	54.2946	−	5.90489i	1.71953	−	0.187010i	0.805481	−	0.592621i	$-0.201907\pi$
$997$	54.2946	−	5.90489i	1.71953	−	0.187010i	0.914046	+	0.405611i	$0.132941\pi$
$998$	−5.54458	−	3.33607i	−0.175511	−	0.105601i
$999$	2.03514	−	2.39595i	0.0643890	−	0.0758046i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	354.2.e.d.121.1	yes	84
59.20	even	29	inner	354.2.e.d.79.1	✓	84

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
354.2.e.d.79.1	✓	84	59.20	even	29	inner
354.2.e.d.121.1	yes	84	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:	\( N \)	\(=\)	\( 354 = 2 \cdot 3 \cdot 59 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	354.e (of order \(29\), degree \(28\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.907575 + 0.419889i) q^{2} +(-0.947653 - 0.319302i) q^{3} +(0.647386 - 0.762162i) q^{4} +(-3.13475 - 1.88612i) q^{5} +(0.994138 - 0.108119i) q^{6} +(0.104895 - 1.93468i) q^{7} +(-0.267528 + 0.963550i) q^{8} +(0.796093 + 0.605174i) q^{9} +O(q^{10})\)	\(q+(-0.907575 + 0.419889i) q^{2} +(-0.947653 - 0.319302i) q^{3} +(0.647386 - 0.762162i) q^{4} +(-3.13475 - 1.88612i) q^{5} +(0.994138 - 0.108119i) q^{6} +(0.104895 - 1.93468i) q^{7} +(-0.267528 + 0.963550i) q^{8} +(0.796093 + 0.605174i) q^{9} +(3.63698 + 0.395546i) q^{10} +(-0.795254 + 4.85084i) q^{11} +(-0.856857 + 0.515554i) q^{12} +(1.22555 - 0.931636i) q^{13} +(0.717149 + 1.79991i) q^{14} +(2.36842 + 2.78832i) q^{15} +(-0.161782 - 0.986827i) q^{16} +(0.296836 + 5.47481i) q^{17} +(-0.976621 - 0.214970i) q^{18} +(-4.26147 + 4.03668i) q^{19} +(-3.46692 + 1.16814i) q^{20} +(-0.717149 + 1.79991i) q^{21} +(-1.31506 - 4.73642i) q^{22} +(3.95811 - 0.871245i) q^{23} +(0.561187 - 0.827689i) q^{24} +(3.92718 + 7.40746i) q^{25} +(-0.721092 + 1.36012i) q^{26} +(-0.561187 - 0.827689i) q^{27} +(-1.40663 - 1.33243i) q^{28} +(-5.72973 - 2.65086i) q^{29} +(-3.32030 - 1.53613i) q^{30} +(-0.939951 - 0.890369i) q^{31} +(0.561187 + 0.827689i) q^{32} +(2.30251 - 4.34299i) q^{33} +(-2.56821 - 4.84417i) q^{34} +(-3.97784 + 5.86688i) q^{35} +(0.976621 - 0.214970i) q^{36} +(0.841009 + 3.02904i) q^{37} +(2.17265 - 5.45293i) q^{38} +(-1.45887 + 0.491549i) q^{39} +(2.65600 - 2.51590i) q^{40} +(-4.90621 - 1.07994i) q^{41} +(-0.104895 - 1.93468i) q^{42} +(1.69585 + 10.3442i) q^{43} +(3.18229 + 3.74648i) q^{44} +(-1.35412 - 3.39860i) q^{45} +(-3.22645 + 2.45269i) q^{46} +(-0.860622 + 0.517819i) q^{47} +(-0.161782 + 0.986827i) q^{48} +(3.22700 + 0.350957i) q^{49} +(-6.67453 - 5.07384i) q^{50} +(1.46682 - 5.28300i) q^{51} +(0.0833442 - 1.53719i) q^{52} +(-4.75009 + 0.516604i) q^{53} +(0.856857 + 0.515554i) q^{54} +(11.6422 - 13.7062i) q^{55} +(1.83609 + 0.618652i) q^{56} +(5.32731 - 2.46468i) q^{57} +6.31323 q^{58} +(6.47666 + 4.12952i) q^{59} +3.65843 q^{60} +(-10.0851 + 4.66588i) q^{61} +(1.22693 + 0.413402i) q^{62} +(1.25432 - 1.47670i) q^{63} +(-0.856857 - 0.515554i) q^{64} +(-5.59896 + 0.608923i) q^{65} +(-0.266125 + 4.90838i) q^{66} +(-0.867399 + 3.12409i) q^{67} +(4.36486 + 3.31808i) q^{68} +(-4.02910 - 0.438191i) q^{69} +(1.14675 - 6.99489i) q^{70} +(1.72906 - 1.04034i) q^{71} +(-0.796093 + 0.605174i) q^{72} +(-2.43771 - 6.11820i) q^{73} +(-2.03514 - 2.39595i) q^{74} +(-1.35640 - 8.27366i) q^{75} +(0.317786 + 5.86122i) q^{76} +(9.30138 + 2.04739i) q^{77} +(1.11763 - 1.05868i) q^{78} +(-9.63892 + 3.24773i) q^{79} +(-1.35412 + 3.39860i) q^{80} +(0.267528 + 0.963550i) q^{81} +(4.90621 - 1.07994i) q^{82} +(8.50363 - 12.5419i) q^{83} +(0.907549 + 1.71182i) q^{84} +(9.39563 - 17.7220i) q^{85} +(-5.88254 - 8.67610i) q^{86} +(4.58337 + 4.34160i) q^{87} +(-4.46127 - 2.06400i) q^{88} +(-9.60078 - 4.44179i) q^{89} +(2.65600 + 2.51590i) q^{90} +(-1.67386 - 2.46876i) q^{91} +(1.89839 - 3.58075i) q^{92} +(0.606451 + 1.14389i) q^{93} +(0.563653 - 0.831326i) q^{94} +(20.9723 - 4.61635i) q^{95} +(-0.267528 - 0.963550i) q^{96} +(2.48571 - 6.23865i) q^{97} +(-3.07611 + 1.03646i) q^{98} +(-3.56870 + 3.38045i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 84 q + 3 q^{2} - 3 q^{3} - 3 q^{4} - 2 q^{5} + 3 q^{6} - 7 q^{7} + 3 q^{8} - 3 q^{9}+O(q^{10}) \) 84 * q + 3 * q^2 - 3 * q^3 - 3 * q^4 - 2 * q^5 + 3 * q^6 - 7 * q^7 + 3 * q^8 - 3 * q^9	\( 84 q + 3 q^{2} - 3 q^{3} - 3 q^{4} - 2 q^{5} + 3 q^{6} - 7 q^{7} + 3 q^{8} - 3 q^{9} + 2 q^{10} + 30 q^{11} - 3 q^{12} - 3 q^{13} + 7 q^{14} - 2 q^{15} - 3 q^{16} + 3 q^{17} + 3 q^{18} - 4 q^{19} - 2 q^{20} - 7 q^{21} - q^{22} + 2 q^{23} + 3 q^{24} - 67 q^{25} + 32 q^{26} - 3 q^{27} - 7 q^{28} + 4 q^{29} + 2 q^{30} - 6 q^{31} + 3 q^{32} + q^{33} + 26 q^{34} + 79 q^{35} - 3 q^{36} + 55 q^{37} + 4 q^{38} - 3 q^{39} + 2 q^{40} + q^{41} + 7 q^{42} + 51 q^{43} + q^{44} - 2 q^{45} - 31 q^{46} - 62 q^{47} - 3 q^{48} - 70 q^{49} + 9 q^{50} + 3 q^{51} - 32 q^{52} - 27 q^{53} + 3 q^{54} - 83 q^{55} + 7 q^{56} - 4 q^{57} - 120 q^{58} - 55 q^{59} + 56 q^{60} - 46 q^{61} - 23 q^{62} - 7 q^{63} - 3 q^{64} - 121 q^{65} - q^{66} + 8 q^{67} - 26 q^{68} - 27 q^{69} - 50 q^{70} - 61 q^{71} + 3 q^{72} + 49 q^{73} - 26 q^{74} - 9 q^{75} + 25 q^{76} + 77 q^{77} + 3 q^{78} - 5 q^{79} - 2 q^{80} - 3 q^{81} - q^{82} + 75 q^{83} - 7 q^{84} + 189 q^{85} + 65 q^{86} - 25 q^{87} - 30 q^{88} + 54 q^{89} + 2 q^{90} - 161 q^{91} + 2 q^{92} + 23 q^{93} + 33 q^{94} - 54 q^{95} + 3 q^{96} + 28 q^{97} + 12 q^{98} + q^{99}+O(q^{100}) \) 84 * q + 3 * q^2 - 3 * q^3 - 3 * q^4 - 2 * q^5 + 3 * q^6 - 7 * q^7 + 3 * q^8 - 3 * q^9 + 2 * q^10 + 30 * q^11 - 3 * q^12 - 3 * q^13 + 7 * q^14 - 2 * q^15 - 3 * q^16 + 3 * q^17 + 3 * q^18 - 4 * q^19 - 2 * q^20 - 7 * q^21 - q^22 + 2 * q^23 + 3 * q^24 - 67 * q^25 + 32 * q^26 - 3 * q^27 - 7 * q^28 + 4 * q^29 + 2 * q^30 - 6 * q^31 + 3 * q^32 + q^33 + 26 * q^34 + 79 * q^35 - 3 * q^36 + 55 * q^37 + 4 * q^38 - 3 * q^39 + 2 * q^40 + q^41 + 7 * q^42 + 51 * q^43 + q^44 - 2 * q^45 - 31 * q^46 - 62 * q^47 - 3 * q^48 - 70 * q^49 + 9 * q^50 + 3 * q^51 - 32 * q^52 - 27 * q^53 + 3 * q^54 - 83 * q^55 + 7 * q^56 - 4 * q^57 - 120 * q^58 - 55 * q^59 + 56 * q^60 - 46 * q^61 - 23 * q^62 - 7 * q^63 - 3 * q^64 - 121 * q^65 - q^66 + 8 * q^67 - 26 * q^68 - 27 * q^69 - 50 * q^70 - 61 * q^71 + 3 * q^72 + 49 * q^73 - 26 * q^74 - 9 * q^75 + 25 * q^76 + 77 * q^77 + 3 * q^78 - 5 * q^79 - 2 * q^80 - 3 * q^81 - q^82 + 75 * q^83 - 7 * q^84 + 189 * q^85 + 65 * q^86 - 25 * q^87 - 30 * q^88 + 54 * q^89 + 2 * q^90 - 161 * q^91 + 2 * q^92 + 23 * q^93 + 33 * q^94 - 54 * q^95 + 3 * q^96 + 28 * q^97 + 12 * q^98 + q^99

Introduction

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