LMFDB - Embedded newform 91.2.w.a.19.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [91,2,Mod(19,91)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(91, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([10, 5]))

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

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

chi := DirichletCharacter("91.19");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 91 = 7 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	91.w (of order $12$, degree $4$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$0.726638658394$
Analytic rank:	$0$
Dimension:	$28$
Relative dimension:	$7$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			19.2
Character	$\chi$	$=$	91.19
Dual form			91.2.w.a.24.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.56673 - 0.419805i) q^{2} +0.513926i q^{3} +(0.546366 + 0.315445i) q^{4} +(1.47457 - 0.395109i) q^{5} +(0.215749 - 0.805186i) q^{6} +(1.27657 - 2.31741i) q^{7} +(1.57027 + 1.57027i) q^{8} +2.73588 q^{9} +O(q^{10})$	\(q+(-1.56673 - 0.419805i) q^{2} +0.513926i q^{3} +(0.546366 + 0.315445i) q^{4} +(1.47457 - 0.395109i) q^{5} +(0.215749 - 0.805186i) q^{6} +(1.27657 - 2.31741i) q^{7} +(1.57027 + 1.57027i) q^{8} +2.73588 q^{9} -2.47612 q^{10} +(-2.03695 - 2.03695i) q^{11} +(-0.162115 + 0.280792i) q^{12} +(2.94467 - 2.08061i) q^{13} +(-2.97290 + 3.09485i) q^{14} +(0.203057 + 0.757819i) q^{15} +(-2.43188 - 4.21214i) q^{16} +(-3.10787 + 5.38299i) q^{17} +(-4.28639 - 1.14854i) q^{18} +(1.63531 + 1.63531i) q^{19} +(0.930289 + 0.249270i) q^{20} +(1.19098 + 0.656063i) q^{21} +(2.33623 + 4.04647i) q^{22} +(-4.86913 + 2.81119i) q^{23} +(-0.807004 + 0.807004i) q^{24} +(-2.31189 + 1.33477i) q^{25} +(-5.48696 + 2.02357i) q^{26} +2.94782i q^{27} +(1.42849 - 0.863465i) q^{28} +(0.379237 - 0.656858i) q^{29} -1.27255i q^{30} +(2.24084 - 8.36292i) q^{31} +(0.892311 + 3.33015i) q^{32} +(1.04684 - 1.04684i) q^{33} +(7.12901 - 7.12901i) q^{34} +(0.966761 - 3.92156i) q^{35} +(1.49479 + 0.863019i) q^{36} +(-1.56036 + 5.82334i) q^{37} +(-1.87558 - 3.24860i) q^{38} +(1.06928 + 1.51334i) q^{39} +(2.93590 + 1.69504i) q^{40} +(1.94919 - 0.522283i) q^{41} +(-1.59052 - 1.52785i) q^{42} +(-2.24252 + 1.29472i) q^{43} +(-0.470375 - 1.75546i) q^{44} +(4.03424 - 1.08097i) q^{45} +(8.80878 - 2.36030i) q^{46} +(-0.571791 - 2.13395i) q^{47} +(2.16473 - 1.24981i) q^{48} +(-3.74074 - 5.91666i) q^{49} +(4.18246 - 1.12069i) q^{50} +(-2.76646 - 1.59722i) q^{51} +(2.26518 - 0.207895i) q^{52} +(2.47328 + 4.28385i) q^{53} +(1.23751 - 4.61845i) q^{54} +(-3.80843 - 2.19880i) q^{55} +(5.64352 - 1.63439i) q^{56} +(-0.840427 + 0.840427i) q^{57} +(-0.869915 + 0.869915i) q^{58} +(0.228132 + 0.851400i) q^{59} +(-0.128107 + 0.478100i) q^{60} +5.17593i q^{61} +(-7.02159 + 12.1617i) q^{62} +(3.49254 - 6.34014i) q^{63} +4.13546i q^{64} +(3.52004 - 4.23146i) q^{65} +(-2.07959 + 1.20065i) q^{66} +(-11.1026 + 11.1026i) q^{67} +(-3.39607 + 1.96072i) q^{68} +(-1.44475 - 2.50237i) q^{69} +(-3.16095 + 5.73818i) q^{70} +(-10.3040 - 2.76095i) q^{71} +(4.29607 + 4.29607i) q^{72} +(6.72052 + 1.80076i) q^{73} +(4.88933 - 8.46857i) q^{74} +(-0.685973 - 1.18814i) q^{75} +(0.377628 + 1.40933i) q^{76} +(-7.32073 + 2.12012i) q^{77} +(-1.03997 - 2.81989i) q^{78} +(-4.24764 + 7.35713i) q^{79} +(-5.25022 - 5.25022i) q^{80} +6.69268 q^{81} -3.27311 q^{82} +(1.51432 + 1.51432i) q^{83} +(0.443758 + 0.734138i) q^{84} +(-2.45590 + 9.16553i) q^{85} +(4.05696 - 1.08706i) q^{86} +(0.337576 + 0.194900i) q^{87} -6.39711i q^{88} +(-8.08103 - 2.16531i) q^{89} -6.77438 q^{90} +(-1.06254 - 9.48003i) q^{91} -3.54710 q^{92} +(4.29792 + 1.15162i) q^{93} +3.58337i q^{94} +(3.05750 + 1.76525i) q^{95} +(-1.71145 + 0.458582i) q^{96} +(0.933928 - 3.48547i) q^{97} +(3.37689 + 10.8402i) q^{98} +(-5.57284 - 5.57284i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 28 q - 2 q^{2} - 6 q^{4} - 6 q^{5} + 12 q^{6} + 2 q^{7} - 4 q^{8} - 12 q^{9}+O(q^{10}) $ 28 * q - 2 * q^2 - 6 * q^4 - 6 * q^5 + 12 * q^6 + 2 * q^7 - 4 * q^8 - 12 * q^9	\( 28 q - 2 q^{2} - 6 q^{4} - 6 q^{5} + 12 q^{6} + 2 q^{7} - 4 q^{8} - 12 q^{9} - 12 q^{10} + 2 q^{11} + 8 q^{12} - 20 q^{14} + 10 q^{15} - 2 q^{16} - 6 q^{17} - 4 q^{18} - 8 q^{19} - 36 q^{20} - 2 q^{21} - 8 q^{22} - 6 q^{23} + 12 q^{24} + 24 q^{26} - 18 q^{28} - 8 q^{29} - 38 q^{31} - 20 q^{32} + 18 q^{33} + 12 q^{34} - 2 q^{35} + 54 q^{36} - 16 q^{37} + 28 q^{39} + 48 q^{40} + 18 q^{41} - 4 q^{42} + 48 q^{43} - 6 q^{44} + 12 q^{45} + 18 q^{46} - 42 q^{47} + 12 q^{48} + 8 q^{49} + 10 q^{50} + 12 q^{51} - 28 q^{52} + 12 q^{53} - 30 q^{54} - 6 q^{55} - 24 q^{56} + 12 q^{57} + 62 q^{58} - 6 q^{59} + 16 q^{60} - 36 q^{62} - 38 q^{63} - 2 q^{65} + 66 q^{66} - 4 q^{67} + 30 q^{68} + 42 q^{69} + 68 q^{70} - 42 q^{71} - 38 q^{72} + 14 q^{73} - 6 q^{74} - 20 q^{75} + 52 q^{76} - 62 q^{78} + 4 q^{79} + 12 q^{80} + 12 q^{81} - 108 q^{82} - 66 q^{83} - 56 q^{84} - 54 q^{85} - 30 q^{86} + 42 q^{87} - 30 q^{89} - 72 q^{90} - 42 q^{91} - 156 q^{92} + 14 q^{93} - 6 q^{95} + 18 q^{96} + 62 q^{97} + 112 q^{98} - 36 q^{99}+O(q^{100}) \) 28 * q - 2 * q^2 - 6 * q^4 - 6 * q^5 + 12 * q^6 + 2 * q^7 - 4 * q^8 - 12 * q^9 - 12 * q^10 + 2 * q^11 + 8 * q^12 - 20 * q^14 + 10 * q^15 - 2 * q^16 - 6 * q^17 - 4 * q^18 - 8 * q^19 - 36 * q^20 - 2 * q^21 - 8 * q^22 - 6 * q^23 + 12 * q^24 + 24 * q^26 - 18 * q^28 - 8 * q^29 - 38 * q^31 - 20 * q^32 + 18 * q^33 + 12 * q^34 - 2 * q^35 + 54 * q^36 - 16 * q^37 + 28 * q^39 + 48 * q^40 + 18 * q^41 - 4 * q^42 + 48 * q^43 - 6 * q^44 + 12 * q^45 + 18 * q^46 - 42 * q^47 + 12 * q^48 + 8 * q^49 + 10 * q^50 + 12 * q^51 - 28 * q^52 + 12 * q^53 - 30 * q^54 - 6 * q^55 - 24 * q^56 + 12 * q^57 + 62 * q^58 - 6 * q^59 + 16 * q^60 - 36 * q^62 - 38 * q^63 - 2 * q^65 + 66 * q^66 - 4 * q^67 + 30 * q^68 + 42 * q^69 + 68 * q^70 - 42 * q^71 - 38 * q^72 + 14 * q^73 - 6 * q^74 - 20 * q^75 + 52 * q^76 - 62 * q^78 + 4 * q^79 + 12 * q^80 + 12 * q^81 - 108 * q^82 - 66 * q^83 - 56 * q^84 - 54 * q^85 - 30 * q^86 + 42 * q^87 - 30 * q^89 - 72 * q^90 - 42 * q^91 - 156 * q^92 + 14 * q^93 - 6 * q^95 + 18 * q^96 + 62 * q^97 + 112 * q^98 - 36 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/91\mathbb{Z}\right)^\times$.

$n$	$15$	$66$
$\chi(n)$	$e\left(\frac{5}{12}\right)$	$e\left(\frac{5}{6}\right)$

Coefficient data

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

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

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

$2$	−1.56673	−	0.419805i	−1.10785	−	0.296847i	−0.341891	−	0.939739i	$-0.611068\pi$
$2$	−1.56673	−	0.419805i	−1.10785	−	0.296847i	−0.765956	+	0.642893i	$0.777734\pi$
$3$			0.513926i			0.296716i	0.988934	+	0.148358i	$0.0473987\pi$
$3$			0.513926i			0.296716i	−0.988934	+	0.148358i	$0.952601\pi$
$4$	0.546366	+	0.315445i	0.273183	+	0.157722i
$5$	1.47457	−	0.395109i	0.659447	−	0.176698i	0.0864504	−	0.996256i	$-0.472448\pi$
$5$	1.47457	−	0.395109i	0.659447	−	0.176698i	0.572996	+	0.819558i	$0.305781\pi$
$6$	0.215749	−	0.805186i	0.0880791	−	0.328716i
$7$	1.27657	−	2.31741i	0.482498	−	0.875897i
$7$	1.27657	−	2.31741i	0.482498	−	0.875897i
$8$	1.57027	+	1.57027i	0.555175	+	0.555175i
$9$	2.73588			0.911960
$10$	−2.47612			−0.783019
$11$	−2.03695	−	2.03695i	−0.614162	−	0.614162i	0.329866	−	0.944028i	$-0.392996\pi$
$11$	−2.03695	−	2.03695i	−0.614162	−	0.614162i	−0.944028	+	0.329866i	$0.892996\pi$
$12$	−0.162115	+	0.280792i	−0.0467987	+	0.0810577i
$13$	2.94467	−	2.08061i	0.816704	−	0.577057i
$13$	2.94467	−	2.08061i	0.816704	−	0.577057i
$14$	−2.97290	+	3.09485i	−0.794542	+	0.827132i
$15$	0.203057	+	0.757819i	0.0524291	+	0.195668i
$16$	−2.43188	−	4.21214i	−0.607970	−	1.05303i
$17$	−3.10787	+	5.38299i	−0.753769	+	1.30557i	0.192215	+	0.981353i	$0.438433\pi$
$17$	−3.10787	+	5.38299i	−0.753769	+	1.30557i	−0.945984	+	0.324213i	$0.894900\pi$
$18$	−4.28639	−	1.14854i	−1.01031	−	0.270712i
$19$	1.63531	+	1.63531i	0.375165	+	0.375165i	0.869354	−	0.494189i	$-0.164535\pi$
$19$	1.63531	+	1.63531i	0.375165	+	0.375165i	−0.494189	+	0.869354i	$0.664535\pi$
$20$	0.930289	+	0.249270i	0.208019	+	0.0557385i
$21$	1.19098	+	0.656063i	0.259892	+	0.143165i
$22$	2.33623	+	4.04647i	0.498086	+	0.862710i
$23$	−4.86913	+	2.81119i	−1.01528	+	0.586174i	−0.912734	−	0.408554i	$-0.866033\pi$
$23$	−4.86913	+	2.81119i	−1.01528	+	0.586174i	−0.102549	+	0.994728i	$0.532700\pi$
$24$	−0.807004	+	0.807004i	−0.164729	+	0.164729i
$25$	−2.31189	+	1.33477i	−0.462378	+	0.266954i
$26$	−5.48696	+	2.02357i	−1.07608	+	0.396855i
$27$			2.94782i			0.567308i
$28$	1.42849	−	0.863465i	0.269959	−	0.163180i
$29$	0.379237	−	0.656858i	0.0704225	−	0.121975i	−0.828664	−	0.559746i	$-0.810899\pi$
$29$	0.379237	−	0.656858i	0.0704225	−	0.121975i	0.899087	+	0.437771i	$0.144232\pi$
$30$		−	1.27255i		−	0.232334i
$31$	2.24084	−	8.36292i	0.402466	−	1.50202i	−0.406215	−	0.913777i	$-0.633152\pi$
$31$	2.24084	−	8.36292i	0.402466	−	1.50202i	0.808682	−	0.588247i	$-0.200182\pi$
$32$	0.892311	+	3.33015i	0.157740	+	0.588693i
$33$	1.04684	−	1.04684i	0.182231	−	0.182231i
$34$	7.12901	−	7.12901i	1.22261	−	1.22261i
$35$	0.966761	−	3.92156i	0.163412	−	0.662864i
$36$	1.49479	+	0.863019i	0.249132	+	0.143837i
$37$	−1.56036	+	5.82334i	−0.256521	+	0.957351i	0.710716	+	0.703479i	$0.248371\pi$
$37$	−1.56036	+	5.82334i	−0.256521	+	0.957351i	−0.967238	+	0.253872i	$0.918296\pi$
$38$	−1.87558	−	3.24860i	−0.304259	−	0.526992i
$39$	1.06928	+	1.51334i	0.171222	+	0.242329i
$40$	2.93590	+	1.69504i	0.464207	+	0.268010i
$41$	1.94919	−	0.522283i	0.304412	−	0.0815669i	−0.103380	−	0.994642i	$-0.532966\pi$
$41$	1.94919	−	0.522283i	0.304412	−	0.0815669i	0.407792	+	0.913075i	$0.366299\pi$
$42$	−1.59052	−	1.52785i	−0.245423	−	0.235753i
$43$	−2.24252	+	1.29472i	−0.341981	+	0.197443i	−0.661148	−	0.750256i	$-0.729930\pi$
$43$	−2.24252	+	1.29472i	−0.341981	+	0.197443i	0.319167	+	0.947699i	$0.396597\pi$
$44$	−0.470375	−	1.75546i	−0.0709116	−	0.264646i
$45$	4.03424	−	1.08097i	0.601389	−	0.161142i
$46$	8.80878	−	2.36030i	1.29878	−	0.348008i
$47$	−0.571791	−	2.13395i	−0.0834043	−	0.311269i	0.911603	−	0.411072i	$-0.134845\pi$
$47$	−0.571791	−	2.13395i	−0.0834043	−	0.311269i	−0.995007	+	0.0998029i	$0.968179\pi$
$48$	2.16473	−	1.24981i	0.312452	−	0.180394i
$49$	−3.74074	−	5.91666i	−0.534391	−	0.845237i
$50$	4.18246	−	1.12069i	0.591488	−	0.158489i
$51$	−2.76646	−	1.59722i	−0.387382	−	0.223655i
$52$	2.26518	−	0.207895i	0.314125	−	0.0288298i
$53$	2.47328	+	4.28385i	0.339732	+	0.588433i	0.984382	−	0.176045i	$-0.0563304\pi$
$53$	2.47328	+	4.28385i	0.339732	+	0.588433i	−0.644650	+	0.764477i	$0.722997\pi$
$54$	1.23751	−	4.61845i	0.168404	−	0.628491i
$55$	−3.80843	−	2.19880i	−0.513529	−	0.296486i
$56$	5.64352	−	1.63439i	0.754147	−	0.218405i
$57$	−0.840427	+	0.840427i	−0.111317	+	0.111317i
$58$	−0.869915	+	0.869915i	−0.114225	+	0.114225i
$59$	0.228132	+	0.851400i	0.0297003	+	0.110843i	0.979185	−	0.202971i	$-0.0650598\pi$
$59$	0.228132	+	0.851400i	0.0297003	+	0.110843i	−0.949484	+	0.313814i	$0.898393\pi$
$60$	−0.128107	+	0.478100i	−0.0165385	+	0.0617225i
$61$			5.17593i			0.662710i	0.943506	+	0.331355i	$0.107506\pi$
$61$			5.17593i			0.662710i	−0.943506	+	0.331355i	$0.892494\pi$
$62$	−7.02159	+	12.1617i	−0.891742	+	1.54454i
$63$	3.49254	−	6.34014i	0.440019	−	0.798783i
$64$			4.13546i			0.516933i
$65$	3.52004	−	4.23146i	0.436608	−	0.524849i
$66$	−2.07959	+	1.20065i	−0.255980	+	0.147790i
$67$	−11.1026	+	11.1026i	−1.35640	+	1.35640i	−0.478082	+	0.878315i	$0.658668\pi$
$67$	−11.1026	+	11.1026i	−1.35640	+	1.35640i	−0.878315	+	0.478082i	$0.841332\pi$
$68$	−3.39607	+	1.96072i	−0.411834	+	0.237773i
$69$	−1.44475	−	2.50237i	−0.173927	−	0.301250i
$70$	−3.16095	+	5.73818i	−0.377805	+	0.685844i
$71$	−10.3040	−	2.76095i	−1.22286	−	0.327665i	−0.411066	−	0.911606i	$-0.634843\pi$
$71$	−10.3040	−	2.76095i	−1.22286	−	0.327665i	−0.811796	+	0.583941i	$0.801510\pi$
$72$	4.29607	+	4.29607i	0.506297	+	0.506297i
$73$	6.72052	+	1.80076i	0.786578	+	0.210763i	0.629683	−	0.776852i	$-0.283185\pi$
$73$	6.72052	+	1.80076i	0.786578	+	0.210763i	0.156895	+	0.987615i	$0.449852\pi$
$74$	4.88933	−	8.46857i	0.568373	−	0.984452i
$75$	−0.685973	−	1.18814i	−0.0792094	−	0.137195i
$76$	0.377628	+	1.40933i	0.0433169	+	0.161661i
$77$	−7.32073	+	2.12012i	−0.834275	+	0.241611i
$78$	−1.03997	−	2.81989i	−0.117753	−	0.319290i
$79$	−4.24764	+	7.35713i	−0.477897	+	0.827742i	−0.999679	−	0.0253371i	$-0.991934\pi$
$79$	−4.24764	+	7.35713i	−0.477897	+	0.827742i	0.521782	+	0.853079i	$0.325267\pi$
$80$	−5.25022	−	5.25022i	−0.586993	−	0.586993i
$81$	6.69268			0.743631
$82$	−3.27311			−0.361455
$83$	1.51432	+	1.51432i	0.166218	+	0.166218i	0.785315	−	0.619096i	$-0.212501\pi$
$83$	1.51432	+	1.51432i	0.166218	+	0.166218i	−0.619096	+	0.785315i	$0.712501\pi$
$84$	0.443758	+	0.734138i	0.0484179	+	0.0801010i
$85$	−2.45590	+	9.16553i	−0.266379	+	0.994141i
$86$	4.05696	−	1.08706i	0.437473	−	0.117221i
$87$	0.337576	+	0.194900i	0.0361920	+	0.0208955i
$88$		−	6.39711i		−	0.681935i
$89$	−8.08103	−	2.16531i	−0.856588	−	0.229522i	−0.196308	−	0.980542i	$-0.562895\pi$
$89$	−8.08103	−	2.16531i	−0.856588	−	0.229522i	−0.660279	+	0.751020i	$0.729562\pi$
$90$	−6.77438			−0.714082
$91$	−1.06254	−	9.48003i	−0.111384	−	0.993777i
$92$	−3.54710			−0.369811
$93$	4.29792	+	1.15162i	0.445674	+	0.119418i
$94$			3.58337i			0.369597i
$95$	3.05750	+	1.76525i	0.313692	+	0.181110i
$96$	−1.71145	+	0.458582i	−0.174674	+	0.0468038i
$97$	0.933928	−	3.48547i	0.0948260	−	0.353896i	−0.902167	−	0.431387i	$-0.858024\pi$
$97$	0.933928	−	3.48547i	0.0948260	−	0.353896i	0.996993	+	0.0774914i	$0.0246910\pi$
$98$	3.37689	+	10.8402i	0.341118	+	1.09503i
$99$	−5.57284	−	5.57284i	−0.560091	−	0.560091i
$100$	−1.68418			−0.168418
$101$	19.6895			1.95918			0.979589	−	0.201012i	$-0.0644231\pi$
$101$	19.6895			1.95918			0.979589	+	0.201012i	$0.0644231\pi$
$102$	3.66379	+	3.66379i	0.362769	+	0.362769i
$103$	4.70130	−	8.14290i	0.463233	−	0.802344i	−0.535887	−	0.844290i	$-0.680023\pi$
$103$	4.70130	−	8.14290i	0.463233	−	0.802344i	0.999120	+	0.0419464i	$0.0133559\pi$
$104$	7.89105	+	1.35681i	0.773781	+	0.133046i
$105$	2.01539	+	0.496844i	0.196682	+	0.0484870i
$106$	−2.07659	−	7.74995i	−0.201697	−	0.752742i
$107$	−0.0359206	−	0.0622163i	−0.00347258	−	0.00601468i	0.864284	−	0.503004i	$-0.167772\pi$
$107$	−0.0359206	−	0.0622163i	−0.00347258	−	0.00601468i	−0.867756	+	0.496990i	$0.834439\pi$
$108$	−0.929874	+	1.61059i	−0.0894772	+	0.154979i
$109$	−7.07523	−	1.89580i	−0.677684	−	0.181585i	−0.0964705	−	0.995336i	$-0.530755\pi$
$109$	−7.07523	−	1.89580i	−0.677684	−	0.181585i	−0.581214	+	0.813751i	$0.697422\pi$
$110$	5.04373	+	5.04373i	0.480901	+	0.480901i
$111$	−2.99277	−	0.801910i	−0.284061	−	0.0761139i
$112$	−12.8657	+	0.258560i	−1.21569	+	0.0244316i
$113$	−8.15754	−	14.1293i	−0.767396	−	1.32917i	−0.938970	−	0.343998i	$-0.888219\pi$
$113$	−8.15754	−	14.1293i	−0.767396	−	1.32917i	0.171574	−	0.985171i	$-0.445115\pi$
$114$	1.66954	−	0.963910i	0.156367	−	0.0902784i
$115$	−6.06913	+	6.06913i	−0.565949	+	0.565949i
$116$	0.414405	−	0.239257i	0.0384765	−	0.0222144i
$117$	8.05626	−	5.69230i	0.744801	−	0.526253i
$118$		−	1.42969i		−	0.131613i
$119$	8.50715	+	14.0740i	0.779849	+	1.29016i
$120$	−0.871127	+	1.50884i	−0.0795227	+	0.137737i
$121$		−	2.70171i		−	0.245610i
$122$	2.17288	−	8.10931i	0.196724	−	0.734182i
$123$	0.268415	+	1.00174i	0.0242022	+	0.0903238i
$124$	3.86236	−	3.86236i	0.346850	−	0.346850i
$125$	−8.27895	+	8.27895i	−0.740492	+	0.740492i
$126$	−8.13351	+	8.46713i	−0.724590	+	0.754312i
$127$	14.9037	+	8.60464i	1.32249	+	0.763538i	0.984125	−	0.177478i	$-0.0567937\pi$
$127$	14.9037	+	8.60464i	1.32249	+	0.763538i	0.338362	+	0.941016i	$0.390127\pi$
$128$	3.52071	−	13.1395i	0.311190	−	1.16138i
$129$	−0.665390	−	1.15249i	−0.0585843	−	0.101471i
$130$	−7.29136	+	5.15184i	−0.639495	+	0.451847i
$131$	4.73734	+	2.73511i	0.413904	+	0.238967i	0.692466	−	0.721451i	$-0.256524\pi$
$131$	4.73734	+	2.73511i	0.413904	+	0.238967i	−0.278562	+	0.960418i	$0.589858\pi$
$132$	0.902178	−	0.241738i	0.0785245	−	0.0210406i
$133$	5.87725	−	1.70208i	0.509622	−	0.147589i
$134$	22.0557	−	12.7339i	1.90532	−	1.10004i
$135$	1.16471	+	4.34676i	0.100242	+	0.374110i
$136$	−13.3330	+	3.57255i	−1.14329	+	0.306344i
$137$	1.69468	−	0.454089i	0.144787	−	0.0387955i	−0.185698	−	0.982607i	$-0.559455\pi$
$137$	1.69468	−	0.454089i	0.144787	−	0.0387955i	0.330484	+	0.943811i	$0.392788\pi$
$138$	1.21302	+	4.52706i	0.103259	+	0.385369i
$139$	−7.13953	+	4.12201i	−0.605567	+	0.349624i	−0.771228	−	0.636559i	$-0.780357\pi$
$139$	−7.13953	+	4.12201i	−0.605567	+	0.349624i	0.165662	+	0.986183i	$0.447024\pi$
$140$	1.76524	−	1.83765i	0.149190	−	0.155310i
$141$	1.09669	−	0.293858i	0.0923583	−	0.0247473i
$142$	14.9846	+	8.65135i	1.25748	+	0.726005i
$143$	−10.2362	−	1.76004i	−0.855995	−	0.147182i
$144$	−6.65333	−	11.5239i	−0.554444	−	0.960325i
$145$	0.299680	−	1.11842i	0.0248871	−	0.0928798i
$146$	−9.77330	−	5.64262i	−0.808844	−	0.466986i
$147$	3.04073	−	1.92246i	0.250795	−	0.158562i
$148$	−2.68947	+	2.68947i	−0.221073	+	0.221073i
$149$	3.14690	−	3.14690i	0.257804	−	0.257804i	−0.566356	−	0.824160i	$-0.691647\pi$
$149$	3.14690	−	3.14690i	0.257804	−	0.257804i	0.824160	+	0.566356i	$0.191647\pi$
$150$	0.575950	+	2.14947i	0.0470261	+	0.175504i
$151$	2.32966	−	8.69443i	0.189585	−	0.707542i	−0.804017	−	0.594606i	$-0.797308\pi$
$151$	2.32966	−	8.69443i	0.189585	−	0.707542i	0.993602	−	0.112936i	$-0.0360255\pi$
$152$			5.13575i			0.416564i
$153$	−8.50276	+	14.7272i	−0.687407	+	1.19062i
$154$	12.3597	−	0.248390i	0.995971	−	0.0200159i
$155$		−	13.2171i		−	1.06162i
$156$	0.106843	+	1.16414i	0.00855425	+	0.0932056i
$157$	−4.21105	+	2.43125i	−0.336078	+	0.194035i	−0.658537	−	0.752549i	$-0.728824\pi$
$157$	−4.21105	+	2.43125i	−0.336078	+	0.194035i	0.322458	+	0.946584i	$0.395491\pi$
$158$	9.74348	−	9.74348i	0.775150	−	0.775150i
$159$	−2.20159	+	1.27109i	−0.174597	+	0.100804i
$160$	2.63155	+	4.55797i	0.208042	+	0.360339i
$161$	0.298889	+	14.8724i	0.0235557	+	1.17211i
$162$	−10.4856	−	2.80962i	−0.823830	−	0.220744i
$163$	−4.51748	−	4.51748i	−0.353836	−	0.353836i	0.507699	−	0.861535i	$-0.330496\pi$
$163$	−4.51748	−	4.51748i	−0.353836	−	0.353836i	−0.861535	+	0.507699i	$0.830496\pi$
$164$	1.22972	+	0.329503i	0.0960252	+	0.0257299i
$165$	1.13002	−	1.95725i	0.0879719	−	0.152372i
$166$	−1.73682	−	3.00826i	−0.134803	−	0.233486i
$167$	−2.62064	−	9.78037i	−0.202791	−	0.756828i	−0.990111	−	0.140283i	$-0.955199\pi$
$167$	−2.62064	−	9.78037i	−0.202791	−	0.756828i	0.787320	−	0.616544i	$-0.211468\pi$
$168$	0.839958	+	2.90035i	0.0648042	+	0.223767i
$169$	4.34213	−	12.2534i	0.334010	−	0.942569i
$170$	7.69547	−	13.3289i	0.590215	−	1.02228i
$171$	4.47400	+	4.47400i	0.342136	+	0.342136i
$172$	−1.63365			−0.124565
$173$	−17.6476			−1.34172			−0.670861	−	0.741583i	$-0.734075\pi$
$173$	−17.6476			−1.34172			−0.670861	+	0.741583i	$0.734075\pi$
$174$	−0.447072	−	0.447072i	−0.0338925	−	0.0338925i
$175$	0.141914	+	7.06151i	0.0107277	+	0.533800i
$176$	−3.62629	+	13.5335i	−0.273342	+	1.02013i
$177$	−0.437557	+	0.117243i	−0.0328888	+	0.00881253i
$178$	11.7518	+	6.78491i	0.880836	+	0.508551i
$179$		−	20.2232i		−	1.51155i	−0.654831	−	0.755775i	$-0.727260\pi$
$179$		−	20.2232i		−	1.51155i	0.654831	−	0.755775i	$-0.272740\pi$
$180$	2.54516	+	0.681974i	0.189705	+	0.0508313i
$181$	17.4649			1.29815			0.649077	−	0.760722i	$-0.275155\pi$
$181$	17.4649			1.29815			0.649077	+	0.760722i	$0.275155\pi$
$182$	−2.31505	+	15.2987i	−0.171603	+	1.13402i
$183$	−2.66005			−0.196636
$184$	−12.0602	−	3.23152i	−0.889089	−	0.238231i
$185$			9.20342i			0.676649i
$186$	−6.25024	−	3.60858i	−0.458290	−	0.264594i
$187$	17.2954	−	4.63429i	1.26477	−	0.338893i
$188$	0.360737	−	1.34629i	0.0263094	−	0.0981882i
$189$	6.83129	+	3.76310i	0.496904	+	0.273725i
$190$	−4.04922	−	4.04922i	−0.293761	−	0.293761i
$191$	0.0415888			0.00300926			0.00150463	−	0.999999i	$-0.499521\pi$
$191$	0.0415888			0.00300926			0.00150463	+	0.999999i	$0.499521\pi$
$192$	−2.12532			−0.153382
$193$	8.83196	+	8.83196i	0.635738	+	0.635738i	0.949501	−	0.313763i	$-0.101590\pi$
$193$	8.83196	+	8.83196i	0.635738	+	0.635738i	−0.313763	+	0.949501i	$0.601590\pi$
$194$	−2.92643	+	5.06873i	−0.210106	+	0.363914i
$195$	2.17466	+	1.80904i	0.155731	+	0.129548i
$196$	−0.177433	−	4.41266i	−0.0126738	−	0.315190i
$197$	0.962573	+	3.59237i	0.0685805	+	0.255946i	0.991701	−	0.128565i	$-0.0410369\pi$
$197$	0.962573	+	3.59237i	0.0685805	+	0.255946i	−0.923121	+	0.384510i	$0.874370\pi$
$198$	6.39164	+	11.0707i	0.454234	+	0.786757i
$199$	−4.38853	+	7.60116i	−0.311095	+	0.538832i	−0.978600	−	0.205773i	$-0.934029\pi$
$199$	−4.38853	+	7.60116i	−0.311095	+	0.538832i	0.667505	+	0.744606i	$0.267362\pi$
$200$	−5.72624	−	1.53434i	−0.404907	−	0.108494i
$201$	−5.70591	−	5.70591i	−0.402464	−	0.402464i
$202$	−30.8482	−	8.26575i	−2.17047	−	0.581576i
$203$	−1.03808	−	1.71737i	−0.0728591	−	0.120536i
$204$	−1.00767	−	1.74533i	−0.0705508	−	0.122198i
$205$	2.66785	−	1.54028i	0.186331	−	0.107578i
$206$	−10.7841	+	10.7841i	−0.751365	+	0.751365i
$207$	−13.3213	+	7.69108i	−0.925898	+	0.534567i
$208$	−15.9249	−	7.34356i	−1.10419	−	0.509184i
$209$		−	6.66206i		−	0.460824i
$210$	−2.94900	−	1.62449i	−0.203501	−	0.112101i
$211$	−3.33665	+	5.77924i	−0.229704	+	0.397859i	−0.957720	−	0.287701i	$-0.907109\pi$
$211$	−3.33665	+	5.77924i	−0.229704	+	0.397859i	0.728016	+	0.685560i	$0.240443\pi$
$212$			3.12074i			0.214333i
$213$	1.41893	−	5.29551i	0.0972232	−	0.362842i
$214$	0.0301593	+	0.112556i	0.00206165	+	0.00769417i
$215$	−2.79519	+	2.79519i	−0.190630	+	0.190630i
$216$	−4.62888	+	4.62888i	−0.314955	+	0.314955i
$217$	−16.5197	−	15.8688i	−1.12143	−	1.07724i
$218$	10.2891	+	5.94043i	0.696868	+	0.402337i
$219$	−0.925457	+	3.45385i	−0.0625366	+	0.233390i
$220$	−1.38720	−	2.40270i	−0.0935249	−	0.161990i
$221$	2.04825	+	22.3174i	0.137780	+	1.50123i
$222$	4.35222	+	2.51276i	0.292102	+	0.168645i
$223$	6.10027	−	1.63456i	0.408505	−	0.109458i	−0.0487142	−	0.998813i	$-0.515512\pi$
$223$	6.10027	−	1.63456i	0.408505	−	0.109458i	0.457219	+	0.889354i	$0.348846\pi$
$224$	8.85640	+	2.18332i	0.591743	+	0.145879i
$225$	−6.32505	+	3.65177i	−0.421670	+	0.243451i
$226$	6.84915	+	25.5614i	0.455599	+	1.70032i
$227$	22.7459	−	6.09476i	1.50970	−	0.404523i	0.593365	−	0.804933i	$-0.297799\pi$
$227$	22.7459	−	6.09476i	1.50970	−	0.404523i	0.916336	+	0.400410i	$0.131132\pi$
$228$	−0.724290	+	0.194073i	−0.0479673	+	0.0128528i
$229$	4.89785	+	18.2790i	0.323659	+	1.20791i	0.915653	+	0.401969i	$0.131674\pi$
$229$	4.89785	+	18.2790i	0.323659	+	1.20791i	−0.591995	+	0.805942i	$0.701659\pi$
$230$	12.0566	−	6.96086i	0.794986	−	0.458985i
$231$	−1.08959	−	3.76232i	−0.0716896	−	0.247542i
$232$	1.62695	−	0.435940i	0.106814	−	0.0286209i
$233$	−6.36747	−	3.67626i	−0.417147	−	0.240840i	0.276709	−	0.960954i	$-0.410756\pi$
$233$	−6.36747	−	3.67626i	−0.417147	−	0.240840i	−0.693856	+	0.720114i	$0.744090\pi$
$234$	−15.0117	+	5.53625i	−0.981343	+	0.361916i
$235$	−1.68629	−	2.92074i	−0.110001	−	0.190528i
$236$	−0.143926	+	0.537140i	−0.00936879	+	0.0349648i
$237$	−3.78102	−	2.18297i	−0.245604	−	0.141799i
$238$	−7.42012	−	25.6215i	−0.480975	−	1.66079i
$239$	−4.08646	+	4.08646i	−0.264331	+	0.264331i	−0.826811	−	0.562480i	$-0.809847\pi$
$239$	−4.08646	+	4.08646i	−0.264331	+	0.264331i	0.562480	+	0.826811i	$0.309847\pi$
$240$	2.69823	−	2.69823i	0.174170	−	0.174170i
$241$	−7.43847	−	27.7607i	−0.479154	−	1.78823i	−0.605054	−	0.796184i	$-0.706849\pi$
$241$	−7.43847	−	27.7607i	−0.479154	−	1.78823i	0.125900	−	0.992043i	$-0.459818\pi$
$242$	−1.13419	+	4.23286i	−0.0729086	+	0.272098i
$243$			12.2830i			0.787955i
$244$	−1.63272	+	2.82796i	−0.104524	+	0.181041i
$245$	−7.85370	−	7.24652i	−0.501754	−	0.462963i
$246$		−	1.68214i		−	0.107249i
$247$	8.21787	+	1.41300i	0.522890	+	0.0899071i
$248$	16.6508	−	9.61333i	1.05732	−	0.610447i
$249$	−0.778250	+	0.778250i	−0.0493196	+	0.0493196i
$250$	16.4464	−	9.49536i	1.04016	−	0.600539i
$251$	9.72695	+	16.8476i	0.613960	+	1.06341i	0.990566	+	0.137036i	$0.0437576\pi$
$251$	9.72695	+	16.8476i	0.613960	+	1.06341i	−0.376606	+	0.926373i	$0.622909\pi$
$252$	3.90817	−	2.36234i	0.246192	−	0.148813i
$253$	15.6444	+	4.19190i	0.983554	+	0.263543i
$254$	−19.7378	−	19.7378i	−1.23846	−	1.23846i
$255$	−4.71041	−	1.26215i	−0.294977	−	0.0790389i
$256$	−6.89656	+	11.9452i	−0.431035	+	0.746575i
$257$	−12.6024	−	21.8280i	−0.786116	−	1.36159i	−0.928330	−	0.371756i	$-0.878756\pi$
$257$	−12.6024	−	21.8280i	−0.786116	−	1.36159i	0.142215	−	0.989836i	$-0.454578\pi$
$258$	0.558668	+	2.08498i	0.0347812	+	0.129805i
$259$	11.5031	+	11.0499i	0.714770	+	0.686607i
$260$	3.25803	−	1.20155i	0.202054	−	0.0745170i
$261$	1.03755	−	1.79708i	0.0642225	−	0.111237i
$262$	−6.27394	−	6.27394i	−0.387605	−	0.387605i
$263$	31.2786			1.92872			0.964362	−	0.264587i	$-0.0852358\pi$
$263$	31.2786			1.92872			0.964362	+	0.264587i	$0.0852358\pi$
$264$	3.28765			0.202341
$265$	5.33961	+	5.33961i	0.328010	+	0.328010i
$266$	−9.92263	+	0.199414i	−0.608396	+	0.0122268i
$267$	1.11281	−	4.15306i	0.0681027	−	0.254163i
$268$	−9.56834	+	2.56383i	−0.584479	+	0.156611i
$269$	7.80980	+	4.50899i	0.476172	+	0.274918i	0.718820	−	0.695196i	$-0.244683\pi$
$269$	7.80980	+	4.50899i	0.476172	+	0.274918i	−0.242648	+	0.970114i	$0.578016\pi$
$270$		−	7.29917i		−	0.444213i
$271$	3.29000	+	0.881552i	0.199853	+	0.0535505i	0.357357	−	0.933968i	$-0.383678\pi$
$271$	3.29000	+	0.881552i	0.199853	+	0.0535505i	−0.157504	+	0.987518i	$0.550345\pi$
$272$	30.2318			1.83308
$273$	4.87204	−	0.546067i	0.294869	−	0.0330495i
$274$	−2.84575			−0.171918
$275$	7.42804	+	1.99034i	0.447928	+	0.120022i
$276$		−	1.82295i		−	0.109729i
$277$	3.48926	+	2.01452i	0.209649	+	0.121041i	0.601148	−	0.799137i	$-0.294710\pi$
$277$	3.48926	+	2.01452i	0.209649	+	0.121041i	−0.391499	+	0.920178i	$0.628043\pi$
$278$	12.9162	−	3.46088i	0.774661	−	0.207570i
$279$	6.13066	−	22.8799i	0.367033	−	1.36979i
$280$	7.67599	−	4.63983i	0.458728	−	0.277283i
$281$	−3.28511	−	3.28511i	−0.195973	−	0.195973i	0.602298	−	0.798271i	$-0.294252\pi$
$281$	−3.28511	−	3.28511i	−0.195973	−	0.195973i	−0.798271	+	0.602298i	$0.794252\pi$
$282$	−1.84159			−0.109665
$283$	1.02966			0.0612069			0.0306035	−	0.999532i	$-0.490257\pi$
$283$	1.02966			0.0612069			0.0306035	+	0.999532i	$0.490257\pi$
$284$	−4.75884	−	4.75884i	−0.282385	−	0.282385i
$285$	−0.907206	+	1.57133i	−0.0537383	+	0.0930774i
$286$	15.2985	+	7.05473i	0.904622	+	0.417155i
$287$	1.27793	−	5.18379i	0.0754340	−	0.305989i
$288$	2.44126	+	9.11089i	0.143852	+	0.536864i
$289$	−10.8177	−	18.7368i	−0.636336	−	1.10217i
$290$	−0.939037	+	1.62646i	−0.0551422	+	0.0955090i
$291$	1.79127	+	0.479970i	0.105006	+	0.0281364i
$292$	3.10383	+	3.10383i	0.181638	+	0.181638i
$293$	−24.6989	−	6.61806i	−1.44293	−	0.386631i	−0.549369	−	0.835580i	$-0.685132\pi$
$293$	−24.6989	−	6.61806i	−1.44293	−	0.386631i	−0.893558	+	0.448948i	$0.851799\pi$
$294$	−5.57107	+	1.73547i	−0.324911	+	0.101215i
$295$	0.672792	+	1.16531i	0.0391715	+	0.0678470i
$296$	−11.5944	+	6.69404i	−0.673912	+	0.389083i
$297$	6.00455	−	6.00455i	0.348419	−	0.348419i
$298$	−6.25144	+	3.60927i	−0.362136	+	0.209079i
$299$	−8.48897	+	18.4088i	−0.490930	+	1.06461i
$300$		−	0.865547i		−	0.0499724i
$301$	0.137656	+	6.84963i	0.00793435	+	0.394806i
$302$	−7.29993	+	12.6438i	−0.420064	+	0.727571i
$303$			10.1189i			0.581318i
$304$	2.91127	−	10.8650i	0.166973	−	0.623151i
$305$	2.04506	+	7.63226i	0.117100	+	0.437022i
$306$	19.5041	−	19.5041i	1.11498	−	1.11498i
$307$	14.0195	−	14.0195i	0.800136	−	0.800136i	−0.182981	−	0.983117i	$-0.558575\pi$
$307$	14.0195	−	14.0195i	0.800136	−	0.800136i	0.983117	+	0.182981i	$0.0585745\pi$
$308$	−4.66858	−	1.15092i	−0.266017	−	0.0655799i
$309$	4.18485	+	2.41612i	0.238068	+	0.137449i
$310$	−5.54859	+	20.7076i	−0.315139	+	1.17611i
$311$	−3.20853	−	5.55733i	−0.181939	−	0.315127i	0.760602	−	0.649219i	$-0.224904\pi$
$311$	−3.20853	−	5.55733i	−0.181939	−	0.315127i	−0.942541	+	0.334091i	$0.891571\pi$
$312$	−0.697299	+	4.05542i	−0.0394768	+	0.229593i
$313$	−21.8008	−	12.5867i	−1.23225	−	0.711441i	−0.264753	−	0.964316i	$-0.585291\pi$
$313$	−21.8008	−	12.5867i	−1.23225	−	0.711441i	−0.967499	+	0.252875i	$0.918624\pi$
$314$	7.61824	−	2.04130i	0.429922	−	0.115197i
$315$	2.64494	−	10.7289i	0.149026	−	0.604505i
$316$	−4.64154	+	2.67979i	−0.261107	+	0.150750i
$317$	−6.23639	−	23.2745i	−0.350271	−	1.30723i	−0.886333	−	0.463049i	$-0.846755\pi$
$317$	−6.23639	−	23.2745i	−0.350271	−	1.30723i	0.536062	−	0.844178i	$-0.319911\pi$
$318$	3.98291	−	1.06722i	0.223350	−	0.0598465i
$319$	−2.11047	+	0.565498i	−0.118163	+	0.0316618i
$320$	1.63396	+	6.09802i	0.0913411	+	0.340890i
$321$	0.0319746	−	0.0184606i	0.00178465	−	0.00103037i
$322$	5.77524	−	23.4266i	0.321842	−	1.30551i
$323$	−13.8852	+	3.72052i	−0.772591	+	0.207015i
$324$	3.65665	+	2.11117i	0.203147	+	0.117287i
$325$	−4.03061	+	8.74059i	−0.223578	+	0.484841i
$326$	5.18123	+	8.97415i	0.286962	+	0.497032i
$327$	0.974303	−	3.63615i	0.0538791	−	0.201079i
$328$	3.88088	+	2.24063i	0.214286	+	0.123718i
$329$	−5.67516	−	1.39907i	−0.312882	−	0.0771332i
$330$	−2.59210	+	2.59210i	−0.142691	+	0.142691i
$331$	−4.17975	+	4.17975i	−0.229740	+	0.229740i	−0.812584	−	0.582844i	$-0.801940\pi$
$331$	−4.17975	+	4.17975i	−0.229740	+	0.229740i	0.582844	+	0.812584i	$0.301940\pi$
$332$	0.349690	+	1.30506i	0.0191917	+	0.0716245i
$333$	−4.26895	+	15.9320i	−0.233937	+	0.873066i
$334$			16.4234i			0.898648i
$335$	−11.9848	+	20.7583i	−0.654799	+	1.13414i
$336$	−0.132881	−	6.61202i	−0.00724924	−	0.360715i
$337$			11.5318i			0.628179i	0.949393	+	0.314089i	$0.101699\pi$
$337$			11.5318i			0.628179i	−0.949393	+	0.314089i	$0.898301\pi$
$338$	−11.9470	+	17.3750i	−0.649831	+	0.945073i
$339$	7.26140	−	4.19237i	0.394385	−	0.227698i
$340$	−4.23304	+	4.23304i	−0.229569	+	0.229569i
$341$	−21.5993	+	12.4703i	−1.16967	+	0.675307i
$342$	−5.13136	−	8.88778i	−0.277472	−	0.480596i
$343$	−18.4866	+	1.11577i	−0.998184	+	0.0602459i
$344$	−5.55442	−	1.48830i	−0.299474	−	0.0802439i
$345$	−3.11909	−	3.11909i	−0.167926	−	0.167926i
$346$	27.6491	+	7.40855i	1.48642	+	0.398286i
$347$	−4.53652	+	7.85749i	−0.243533	+	0.421812i	−0.961718	−	0.274040i	$-0.911640\pi$
$347$	−4.53652	+	7.85749i	−0.243533	+	0.421812i	0.718185	+	0.695852i	$0.244973\pi$
$348$	0.122960	+	0.212973i	0.00659136	+	0.0114166i
$349$	7.77792	+	29.0276i	0.416342	+	1.55381i	0.782132	+	0.623113i	$0.214132\pi$
$349$	7.77792	+	29.0276i	0.416342	+	1.55381i	−0.365789	+	0.930698i	$0.619201\pi$
$350$	2.74212	−	11.1231i	0.146572	−	0.594554i
$351$	6.13326	+	8.68035i	0.327369	+	0.463323i
$352$	4.96574	−	8.60092i	0.264675	−	0.458431i
$353$	−20.4906	−	20.4906i	−1.09060	−	1.09060i	−0.995464	−	0.0951398i	$-0.969670\pi$
$353$	−20.4906	−	20.4906i	−1.09060	−	1.09060i	−0.0951398	−	0.995464i	$-0.530330\pi$
$354$	0.734755			0.0390518
$355$	−16.2848			−0.864310
$356$	−3.73217	−	3.73217i	−0.197805	−	0.197805i
$357$	−7.23298	+	4.37205i	−0.382810	+	0.231393i
$358$	−8.48978	+	31.6843i	−0.448699	+	1.67457i
$359$	−8.52708	+	2.28482i	−0.450042	+	0.120588i	−0.476719	−	0.879056i	$-0.658174\pi$
$359$	−8.52708	+	2.28482i	−0.450042	+	0.120588i	0.0266770	+	0.999644i	$0.491507\pi$
$360$	8.03227	+	4.63743i	0.423338	+	0.244414i
$361$		−	13.6515i		−	0.718502i
$362$	−27.3628	−	7.33185i	−1.43816	−	0.385353i
$363$	1.38848			0.0728763
$364$	2.40989	−	5.51474i	0.126313	−	0.289051i
$365$	10.6214			0.555947
$366$	4.16759	+	1.11670i	0.217843	+	0.0583709i
$367$			13.2885i			0.693656i	0.937929	+	0.346828i	$0.112741\pi$
$367$			13.2885i			0.693656i	−0.937929	+	0.346828i	$0.887259\pi$
$368$	23.6823	+	13.6730i	1.23452	+	0.712752i
$369$	5.33274	−	1.42890i	0.277611	−	0.0743858i
$370$	3.86364	−	14.4193i	0.200861	−	0.749624i
$371$	13.0847	−	0.262962i	0.679326	−	0.0136523i
$372$	1.98497	+	1.98497i	0.102916	+	0.102916i
$373$	−8.24992			−0.427164			−0.213582	−	0.976925i	$-0.568513\pi$
$373$	−8.24992			−0.427164			−0.213582	+	0.976925i	$0.568513\pi$
$374$	−29.0428			−1.50177
$375$	−4.25477	−	4.25477i	−0.219715	−	0.219715i
$376$	2.45302	−	4.24875i	0.126505	−	0.219113i
$377$	−0.249937	−	2.72327i	−0.0128724	−	0.140256i
$378$	−9.12305	−	8.76358i	−0.469239	−	0.450750i
$379$	0.896568	+	3.34604i	0.0460536	+	0.171874i	0.985122	−	0.171855i	$-0.0549762\pi$
$379$	0.896568	+	3.34604i	0.0460536	+	0.171874i	−0.939069	+	0.343730i	$0.888310\pi$
$380$	1.11368	+	1.92894i	0.0571303	+	0.0989526i
$381$	−4.42215	+	7.65939i	−0.226554	+	0.392402i
$382$	−0.0651586	−	0.0174592i	−0.00333381	−	0.000893291i
$383$	24.3450	+	24.3450i	1.24397	+	1.24397i	0.958340	+	0.285631i	$0.0922032\pi$
$383$	24.3450	+	24.3450i	1.24397	+	1.24397i	0.285631	+	0.958340i	$0.407797\pi$
$384$	6.75272	+	1.80939i	0.344598	+	0.0923348i
$385$	−9.95723	+	6.01876i	−0.507468	+	0.306744i
$386$	−10.1296	−	17.5450i	−0.515584	−	0.893018i
$387$	−6.13526	+	3.54220i	−0.311873	+	0.180060i
$388$	1.60974	−	1.60974i	0.0817221	−	0.0817221i
$389$	8.07601	−	4.66269i	0.409470	−	0.236408i	−0.281092	−	0.959681i	$-0.590697\pi$
$389$	8.07601	−	4.66269i	0.409470	−	0.236408i	0.690562	+	0.723273i	$0.257363\pi$
$390$	−2.64767	−	3.74722i	−0.134070	−	0.189748i
$391$		−	34.9473i		−	1.76736i
$392$	3.41679	−	15.1647i	0.172574	−	0.765935i
$393$	−1.40564	+	2.43465i	−0.0709053	+	0.122812i
$394$		−	6.03238i		−	0.303907i
$395$	−3.35656	+	12.5269i	−0.168887	+	0.630295i
$396$	−1.28689	−	4.80273i	−0.0646686	−	0.241346i
$397$	13.9887	−	13.9887i	0.702073	−	0.702073i	−0.262782	−	0.964855i	$-0.584640\pi$
$397$	13.9887	−	13.9887i	0.702073	−	0.702073i	0.964855	+	0.262782i	$0.0846401\pi$
$398$	10.0667	−	10.0667i	0.504596	−	0.504596i
$399$	0.874746	+	3.02048i	0.0437921	+	0.151213i
$400$	11.2445	+	6.49199i	0.562223	+	0.324600i
$401$	3.11669	−	11.6317i	0.155640	−	0.580857i	−0.843409	−	0.537271i	$-0.819455\pi$
$401$	3.11669	−	11.6317i	0.155640	−	0.580857i	0.999050	−	0.0435858i	$-0.0138782\pi$
$402$	6.54427	+	11.3350i	0.326399	+	0.565339i
$403$	−10.8014	−	29.2883i	−0.538058	−	1.45895i
$404$	10.7577	+	6.21095i	0.535214	+	0.309006i
$405$	9.86881	−	2.64434i	0.490385	−	0.131398i
$406$	0.905438	+	3.12645i	0.0449361	+	0.155163i
$407$	15.0402	−	8.68346i	0.745514	−	0.430423i
$408$	−1.83603	−	6.85216i	−0.0908970	−	0.339232i
$409$	−18.8327	+	5.04619i	−0.931215	+	0.249518i	−0.692373	−	0.721540i	$-0.743435\pi$
$409$	−18.8327	+	5.04619i	−0.931215	+	0.249518i	−0.238842	+	0.971058i	$0.576768\pi$
$410$	−4.82643	+	1.29324i	−0.238360	+	0.0638685i
$411$	0.233368	+	0.870943i	0.0115112	+	0.0429605i
$412$	5.13727	−	2.96600i	0.253095	−	0.146125i
$413$	2.26427	+	0.558198i	0.111417	+	0.0274671i
$414$	24.0998	−	6.45751i	1.18444	−	0.317369i
$415$	2.83129	+	1.63465i	0.138983	+	0.0802417i
$416$	9.55630	+	7.94963i	0.468536	+	0.389763i
$417$	−2.11841	−	3.66919i	−0.103739	−	0.179681i
$418$	−2.79677	+	10.4377i	−0.136794	+	0.510523i
$419$	3.34749	+	1.93268i	0.163536	+	0.0944174i	0.579534	−	0.814948i	$-0.303235\pi$
$419$	3.34749	+	1.93268i	0.163536	+	0.0944174i	−0.415999	+	0.909365i	$0.636568\pi$
$420$	0.944415	+	0.907204i	0.0460827	+	0.0442670i
$421$	3.65782	−	3.65782i	0.178271	−	0.178271i	−0.612331	−	0.790602i	$-0.709768\pi$
$421$	3.65782	−	3.65782i	0.178271	−	0.178271i	0.790602	+	0.612331i	$0.209768\pi$
$422$	7.65379	−	7.65379i	0.372581	−	0.372581i
$423$	−1.56435	−	5.83824i	−0.0760613	−	0.283865i
$424$	−2.84309	+	10.6105i	−0.138072	+	0.515293i
$425$		−	16.5932i		−	0.804886i
$426$	−4.44616	+	7.70097i	−0.215417	+	0.373113i
$427$	11.9947	+	6.60744i	0.580466	+	0.319757i
$428$		−	0.0453239i		−	0.00219081i
$429$	0.904531	−	5.26066i	0.0436712	−	0.253987i
$430$	5.55275	−	3.20588i	0.267778	−	0.154601i
$431$	−7.11488	+	7.11488i	−0.342712	+	0.342712i	−0.857386	−	0.514674i	$-0.827913\pi$
$431$	−7.11488	+	7.11488i	−0.342712	+	0.342712i	0.514674	+	0.857386i	$0.327913\pi$
$432$	12.4166	−	7.16874i	0.597395	−	0.344906i
$433$	3.80951	+	6.59826i	0.183073	+	0.317092i	0.942926	−	0.333004i	$-0.108062\pi$
$433$	3.80951	+	6.59826i	0.183073	+	0.317092i	−0.759852	+	0.650096i	$0.774729\pi$
$434$	19.2201	+	31.7972i	0.922596	+	1.52631i
$435$	0.574786	+	0.154013i	0.0275589	+	0.00738438i
$436$	−3.26765	−	3.26765i	−0.156492	−	0.156492i
$437$	−12.5597	−	3.36536i	−0.600811	−	0.160987i
$438$	2.89989	−	5.02276i	0.138562	−	0.239997i
$439$	11.1814	+	19.3667i	0.533658	+	0.924323i	0.999227	+	0.0393115i	$0.0125165\pi$
$439$	11.1814	+	19.3667i	0.533658	+	0.924323i	−0.465569	+	0.885012i	$0.654150\pi$
$440$	−2.52756	−	9.43298i	−0.120497	−	0.449700i
$441$	−10.2342	−	16.1873i	−0.487343	−	0.770823i
$442$	6.15988	−	35.8252i	0.292996	−	1.70403i
$443$	−12.8459	+	22.2497i	−0.610326	+	1.05712i	0.380859	+	0.924633i	$0.375628\pi$
$443$	−12.8459	+	22.2497i	−0.610326	+	1.05712i	−0.991185	+	0.132483i	$0.957705\pi$
$444$	−1.38219	−	1.38219i	−0.0655958	−	0.0655958i
$445$	−12.7716			−0.605430
$446$	−10.2437			−0.485053
$447$	1.61727	+	1.61727i	0.0764945	+	0.0764945i
$448$	9.58354	+	5.27921i	0.452780	+	0.249419i
$449$	−0.821652	+	3.06645i	−0.0387761	+	0.144715i	−0.982600	−	0.185735i	$-0.940534\pi$
$449$	−0.821652	+	3.06645i	−0.0387761	+	0.144715i	0.943824	+	0.330449i	$0.107200\pi$
$450$	11.4427	−	3.06606i	0.539414	−	0.144535i
$451$	−5.03425	−	2.90653i	−0.237054	−	0.136863i
$452$		−	10.2930i		−	0.484142i
$453$	4.46829	+	1.19728i	0.209939	+	0.0562529i
$454$	−38.1954			−1.79260
$455$	−5.31243	−	13.5591i	−0.249051	−	0.635662i
$456$	−2.63940			−0.123601
$457$	31.7143	+	8.49782i	1.48353	+	0.397511i	0.907548	−	0.419949i	$-0.137952\pi$
$457$	31.7143	+	8.49782i	1.48353	+	0.397511i	0.575985	+	0.817460i	$0.304619\pi$
$458$		−	30.6945i		−	1.43426i
$459$	−15.8681	−	9.16144i	−0.740658	−	0.427619i
$460$	−5.23045	+	1.40149i	−0.243871	+	0.0653450i
$461$	1.38662	−	5.17492i	0.0645811	−	0.241020i	−0.926088	−	0.377307i	$-0.876850\pi$
$461$	1.38662	−	5.17492i	0.0645811	−	0.241020i	0.990669	+	0.136287i	$0.0435169\pi$
$462$	0.127654	+	6.35196i	0.00593902	+	0.295520i
$463$	−17.0182	−	17.0182i	−0.790903	−	0.790903i	0.190738	−	0.981641i	$-0.438912\pi$
$463$	−17.0182	−	17.0182i	−0.790903	−	0.790903i	−0.981641	+	0.190738i	$0.938912\pi$
$464$	−3.68903			−0.171259
$465$	6.79260			0.314999
$466$	8.43282	+	8.43282i	0.390643	+	0.390643i
$467$	3.73447	−	6.46829i	0.172811	−	0.299317i	−0.766591	−	0.642136i	$-0.778049\pi$
$467$	3.73447	−	6.46829i	0.172811	−	0.299317i	0.939401	+	0.342819i	$0.111382\pi$
$468$	6.19727	−	0.568775i	0.286469	−	0.0262916i
$469$	11.5560	+	39.9024i	0.533605	+	1.84252i
$470$	1.41582	+	5.28393i	0.0653071	+	0.243729i
$471$	−1.24948	−	2.16417i	−0.0575732	−	0.0997197i
$472$	−0.978701	+	1.69516i	−0.0450483	+	0.0780260i
$473$	7.20516	+	1.93062i	0.331294	+	0.0887698i
$474$	5.00743	+	5.00743i	0.229999	+	0.229999i
$475$	−5.96340	−	1.59789i	−0.273620	−	0.0733162i
$476$	0.208466	+	10.3731i	0.00955502	+	0.475449i
$477$	6.76661	+	11.7201i	0.309822	+	0.536627i
$478$	8.11792	−	4.68688i	0.371305	−	0.214373i
$479$	−14.7412	+	14.7412i	−0.673544	+	0.673544i	−0.958531	−	0.284987i	$-0.908011\pi$
$479$	−14.7412	+	14.7412i	−0.673544	+	0.673544i	0.284987	+	0.958531i	$0.408011\pi$
$480$	−2.34246	+	1.35242i	−0.106918	+	0.0617293i
$481$	7.52135	+	20.3943i	0.342944	+	0.929900i
$482$			46.6164i			2.12332i
$483$	−7.64333	+	0.153607i	−0.347784	+	0.00698935i
$484$	0.852240	−	1.47612i	0.0387382	−	0.0670965i
$485$		−	5.50856i		−	0.250131i
$486$	5.15647	−	19.2442i	0.233902	−	0.872934i
$487$	−4.83239	−	18.0347i	−0.218977	−	0.817232i	−0.984729	−	0.174096i	$-0.944300\pi$
$487$	−4.83239	−	18.0347i	−0.218977	−	0.817232i	0.765752	−	0.643136i	$-0.222367\pi$
$488$	−8.12762	+	8.12762i	−0.367920	+	0.367920i
$489$	2.32165	−	2.32165i	0.104989	−	0.104989i
$490$	9.26253	+	14.6504i	0.418438	+	0.661837i
$491$	26.9636	+	15.5675i	1.21685	+	0.702550i	0.964243	−	0.265019i	$-0.0853781\pi$
$491$	26.9636	+	15.5675i	1.21685	+	0.702550i	0.252609	+	0.967569i	$0.418711\pi$
$492$	−0.169340	+	0.631987i	−0.00763445	+	0.0284922i
$493$	2.35724	+	4.08286i	0.106165	+	0.183883i
$494$	−12.2820	−	5.66370i	−0.552594	−	0.254822i
$495$	−10.4194	−	6.01565i	−0.468317	−	0.270383i
$496$	−40.6752	+	10.8989i	−1.82637	+	0.489374i
$497$	−19.5520	+	20.3540i	−0.877029	+	0.913003i
$498$	1.54602	−	0.892597i	0.0692790	−	0.0399982i
$499$	−4.79636	−	17.9002i	−0.214714	−	0.801325i	−0.986267	−	0.165159i	$-0.947186\pi$
$499$	−4.79636	−	17.9002i	−0.214714	−	0.801325i	0.771553	−	0.636166i	$-0.219481\pi$
$500$	−7.13489	+	1.91179i	−0.319082	+	0.0854978i
$501$	5.02639	−	1.34682i	0.224563	−	0.0601713i
$502$	−8.16684	−	30.4791i	−0.364504	−	1.36035i
$503$	22.0368	−	12.7230i	0.982573	−	0.567289i	0.0795268	−	0.996833i	$-0.474659\pi$
$503$	22.0368	−	12.7230i	0.982573	−	0.567289i	0.903046	+	0.429544i	$0.141326\pi$
$504$	15.4400	−	4.47151i	0.687752	−	0.199177i
$505$	29.0335	−	7.77950i	1.29197	−	0.346183i
$506$	−22.7508	−	13.1352i	−1.01140	−	0.583930i
$507$	6.29735	+	2.23154i	0.279675	+	0.0991061i
$508$	5.42858	+	9.40257i	0.240854	+	0.417172i
$509$	6.41875	−	23.9551i	0.284506	−	1.06179i	−0.664694	−	0.747116i	$-0.731438\pi$
$509$	6.41875	−	23.9551i	0.284506	−	1.06179i	0.949200	−	0.314674i	$-0.101895\pi$
$510$	6.85009	+	3.95490i	0.303327	+	0.175126i
$511$	12.7523	−	13.2754i	0.564129	−	0.587268i
$512$	−3.41779	+	3.41779i	−0.151046	+	0.151046i
$513$	−4.82059	+	4.82059i	−0.212834	+	0.212834i
$514$	10.5811	+	39.4892i	0.466712	+	1.74179i
$515$	3.71506	−	13.8648i	0.163705	−	0.610955i
$516$		−	0.839576i		−	0.0369603i
$517$	−3.18204	+	5.51145i	−0.139946	+	0.242393i
$518$	−13.3835	−	22.1413i	−0.588039	−	0.972833i
$519$		−	9.06957i		−	0.398110i
$520$	12.1720	−	1.11712i	0.533776	−	0.0489891i
$521$	−3.53287	+	2.03970i	−0.154778	+	0.0893610i	−0.575389	−	0.817880i	$-0.695149\pi$
$521$	−3.53287	+	2.03970i	−0.154778	+	0.0893610i	0.420611	+	0.907241i	$0.361816\pi$
$522$	−2.37998	+	2.37998i	−0.104169	+	0.104169i
$523$	25.5006	−	14.7228i	1.11506	−	0.643781i	0.174926	−	0.984582i	$-0.444031\pi$
$523$	25.5006	−	14.7228i	1.11506	−	0.643781i	0.940136	+	0.340800i	$0.110698\pi$
$524$	1.72555	+	2.98874i	0.0753810	+	0.130564i
$525$	−3.62910	+	0.0729334i	−0.158387	+	0.00318307i
$526$	−49.0053	−	13.1309i	−2.13673	−	0.572536i
$527$	38.0532	+	38.0532i	1.65763	+	1.65763i
$528$	−6.95522	−	1.86365i	−0.302687	−	0.0811048i
$529$	4.30560	−	7.45752i	0.187200	−	0.324240i
$530$	−6.12416	−	10.6073i	−0.266016	−	0.460754i
$531$	0.624142	+	2.32933i	0.0270854	+	0.101084i
$532$	3.74805	+	0.923987i	0.162498	+	0.0400599i
$533$	4.65304	−	5.59345i	0.201546	−	0.242279i
$534$	−3.48695	+	6.03957i	−0.150895	+	0.261358i
$535$	−0.0775496	−	0.0775496i	−0.00335276	−	0.00335276i
$536$	−34.8682			−1.50608
$537$	10.3932			0.448500
$538$	−10.3430	−	10.3430i	−0.445917	−	0.445917i
$539$	−4.43224	+	19.6716i	−0.190910	+	0.847315i
$540$	−0.734804	+	2.74233i	−0.0316209	+	0.118011i
$541$	36.3539	−	9.74099i	1.56298	−	0.418798i	0.629371	−	0.777105i	$-0.283312\pi$
$541$	36.3539	−	9.74099i	1.56298	−	0.418798i	0.933604	+	0.358307i	$0.116646\pi$
$542$	−4.78447	−	2.76232i	−0.205511	−	0.118652i
$543$			8.97567i			0.385183i
$544$	−20.6993	−	5.54637i	−0.887477	−	0.237799i
$545$	−11.1820			−0.478982
$546$	−7.86243	−	1.18976i	−0.336481	−	0.0509172i
$547$	−36.7251			−1.57025			−0.785125	−	0.619337i	$-0.787401\pi$
$547$	−36.7251			−1.57025			−0.785125	+	0.619337i	$0.787401\pi$
$548$	1.06916	+	0.286480i	0.0456722	+	0.0122378i
$549$			14.1607i			0.604365i
$550$	−10.8022	−	6.23666i	−0.460608	−	0.265932i
$551$	1.69433	−	0.453995i	0.0721810	−	0.0193408i
$552$	1.66076	−	6.19805i	0.0706867	−	0.263806i
$553$	11.6270	+	19.2354i	0.494432	+	0.817972i
$554$	−4.62103	−	4.62103i	−0.196329	−	0.196329i
$555$	−4.72988			−0.200772
$556$	−5.20106			−0.220574
$557$	−14.1477	−	14.1477i	−0.599459	−	0.599459i	0.340710	−	0.940168i	$-0.389333\pi$
$557$	−14.1477	−	14.1477i	−0.599459	−	0.599459i	−0.940168	+	0.340710i	$0.889333\pi$
$558$	−19.2102	+	33.2731i	−0.813233	+	1.40856i
$559$	−3.90967	+	8.47832i	−0.165361	+	0.358595i
$560$	−18.8692	+	5.46462i	−0.797368	+	0.230922i
$561$	2.38168	+	8.88857i	0.100555	+	0.375276i
$562$	3.76778	+	6.52599i	0.158934	+	0.275282i
$563$	7.84601	−	13.5897i	0.330670	−	0.572737i	−0.651973	−	0.758242i	$-0.726059\pi$
$563$	7.84601	−	13.5897i	0.330670	−	0.572737i	0.982643	+	0.185505i	$0.0593919\pi$
$564$	0.691893	+	0.185392i	0.0291340	+	0.00780642i
$565$	−17.6114	−	17.6114i	−0.740919	−	0.740919i
$566$	−1.61320	−	0.432256i	−0.0678079	−	0.0181691i
$567$	8.54367	−	15.5096i	0.358800	−	0.651344i
$568$	−11.8447	−	20.5155i	−0.496991	−	0.860813i
$569$	4.39537	−	2.53767i	0.184263	−	0.106385i	−0.405031	−	0.914303i	$-0.632739\pi$
$569$	4.39537	−	2.53767i	0.184263	−	0.106385i	0.589294	+	0.807918i	$0.299406\pi$
$570$	2.08100	−	2.08100i	0.0871636	−	0.0871636i
$571$	17.5642	−	10.1407i	0.735038	−	0.424374i	−0.0852246	−	0.996362i	$-0.527161\pi$
$571$	17.5642	−	10.1407i	0.735038	−	0.424374i	0.820262	+	0.571988i	$0.193827\pi$
$572$	−5.03753	−	4.19059i	−0.210630	−	0.175217i
$573$			0.0213736i			0.000892895i
$574$	−4.17836	+	7.58513i	−0.174401	+	0.316597i
$575$	7.50459	−	12.9983i	0.312963	−	0.542068i
$576$			11.3141i			0.471422i
$577$	−6.77811	+	25.2962i	−0.282176	+	1.05310i	0.668702	+	0.743531i	$0.266850\pi$
$577$	−6.77811	+	25.2962i	−0.282176	+	1.05310i	−0.950878	+	0.309566i	$0.899816\pi$
$578$	9.08265	+	33.8969i	0.377789	+	1.40993i
$579$	−4.53898	+	4.53898i	−0.188633	+	0.188633i
$580$	0.516535	−	0.516535i	0.0214480	−	0.0214480i
$581$	5.44244	−	1.57616i	0.225790	−	0.0653901i
$582$	−2.60495	−	1.50397i	−0.107979	−	0.0623416i
$583$	3.68803	−	13.7639i	0.152743	−	0.570043i
$584$	7.72537	+	13.3807i	0.319678	+	0.553698i
$585$	9.63042	−	11.5768i	0.398169	−	0.478641i
$586$	35.9183	+	20.7375i	1.48377	+	0.856657i
$587$	−1.75410	+	0.470009i	−0.0723994	+	0.0193994i	−0.294837	−	0.955548i	$-0.595265\pi$
$587$	−1.75410	+	0.470009i	−0.0723994	+	0.0193994i	0.222438	+	0.974947i	$0.428599\pi$
$588$	2.26778	−	0.0911874i	0.0935218	−	0.00376050i
$589$	17.3404	−	10.0115i	0.714498	−	0.412516i
$590$	−0.564883	−	2.10817i	−0.0232559	−	0.0867921i
$591$	−1.84621	+	0.494692i	−0.0759431	+	0.0203489i
$592$	28.3233	−	7.58921i	1.16408	−	0.311915i
$593$	8.29320	+	30.9506i	0.340561	+	1.27099i	0.897713	+	0.440580i	$0.145227\pi$
$593$	8.29320	+	30.9506i	0.340561	+	1.27099i	−0.557153	+	0.830410i	$0.688106\pi$
$594$	−11.9283	+	6.88679i	−0.489423	+	0.282568i
$595$	18.1051	+	17.3917i	0.742238	+	0.712992i
$596$	2.71203	−	0.726687i	0.111089	−	0.0297663i
$597$	−3.90644	−	2.25538i	−0.159880	−	0.0923067i
$598$	21.0281	−	25.2779i	0.859901	−	1.03369i
$599$	1.81349	+	3.14105i	0.0740970	+	0.128340i	0.900693	−	0.434456i	$-0.143059\pi$
$599$	1.81349	+	3.14105i	0.0740970	+	0.128340i	−0.826596	+	0.562795i	$0.809726\pi$
$600$	0.788539	−	2.94287i	0.0321920	−	0.120142i
$601$	−22.0032	−	12.7035i	−0.897529	−	0.518189i	−0.0211313	−	0.999777i	$-0.506727\pi$
$601$	−22.0032	−	12.7035i	−0.897529	−	0.518189i	−0.876398	+	0.481588i	$0.840060\pi$
$602$	2.65984	−	10.7893i	0.108407	−	0.439740i
$603$	−30.3753	+	30.3753i	−1.23698	+	1.23698i
$604$	4.01546	−	4.01546i	0.163387	−	0.163387i
$605$	−1.06747	−	3.98385i	−0.0433988	−	0.161967i
$606$	4.24798	−	15.8537i	0.172563	−	0.644012i
$607$			4.07542i			0.165416i	0.996574	+	0.0827081i	$0.0263569\pi$
$607$			4.07542i			0.165416i	−0.996574	+	0.0827081i	$0.973643\pi$
$608$	−3.98661	+	6.90502i	−0.161679	+	0.280035i
$609$	0.882602	−	0.533498i	0.0357648	−	0.0216184i
$610$		−	12.8162i		−	0.518915i
$611$	−6.12365	−	5.09411i	−0.247736	−	0.206085i
$612$	−9.29124	+	5.36430i	−0.375576	+	0.216839i
$613$	16.4066	−	16.4066i	0.662658	−	0.662658i	−0.293348	−	0.956006i	$-0.594769\pi$
$613$	16.4066	−	16.4066i	0.662658	−	0.662658i	0.956006	+	0.293348i	$0.0947695\pi$
$614$	−27.8503	+	16.0794i	−1.12395	+	0.648911i
$615$	0.791593	+	1.37108i	0.0319201	+	0.0552872i
$616$	−14.8247	−	8.16637i	−0.597304	−	0.329032i
$617$	0.685439	+	0.183663i	0.0275948	+	0.00739399i	0.272590	−	0.962130i	$-0.412120\pi$
$617$	0.685439	+	0.183663i	0.0275948	+	0.00739399i	−0.244995	+	0.969524i	$0.578786\pi$
$618$	−5.54224	−	5.54224i	−0.222942	−	0.222942i
$619$	−13.2298	−	3.54491i	−0.531751	−	0.142482i	−0.0170541	−	0.999855i	$-0.505429\pi$
$619$	−13.2298	−	3.54491i	−0.531751	−	0.142482i	−0.514697	+	0.857372i	$0.672095\pi$
$620$	4.16925	−	7.22136i	0.167441	−	0.290017i
$621$	−8.28689	−	14.3533i	−0.332541	−	0.575979i
$622$	2.69391	+	10.0538i	0.108016	+	0.403121i
$623$	−15.3339	+	15.9629i	−0.614340	+	0.639539i
$624$	3.77405	−	8.18422i	0.151083	−	0.327631i
$625$	−2.26294	+	3.91952i	−0.0905174	+	0.156781i
$626$	28.8720	+	28.8720i	1.15396	+	1.15396i
$627$	3.42381			0.136734
$628$	−3.06770			−0.122415
$629$	−26.4976	−	26.4976i	−1.05653	−	1.05653i
$630$	−8.64797	+	15.6990i	−0.344543	+	0.625462i
$631$	−0.371814	+	1.38763i	−0.0148017	+	0.0552407i	−0.972932	−	0.231093i	$-0.925770\pi$
$631$	−0.371814	+	1.38763i	−0.0148017	+	0.0552407i	0.958130	+	0.286334i	$0.0924365\pi$
$632$	−18.2226	+	4.88274i	−0.724858	+	0.194225i
$633$	−2.97011	−	1.71479i	−0.118051	−	0.0681568i
$634$			39.0830i			1.55219i
$635$	25.3762	+	6.79955i	1.00703	+	0.269832i
$636$	−1.60383			−0.0635960
$637$	−23.3255	−	9.63959i	−0.924189	−	0.381935i
$638$	3.54394			0.140306
$639$	−28.1905	−	7.55363i	−1.11520	−	0.298817i
$640$		−	20.7661i		−	0.820852i
$641$	9.56157	+	5.52037i	0.377659	+	0.218042i	0.676799	−	0.736168i	$-0.263366\pi$
$641$	9.56157	+	5.52037i	0.377659	+	0.218042i	−0.299140	+	0.954209i	$0.596700\pi$
$642$	−0.0578455	+	0.0154997i	−0.00228298	+	0.000611723i
$643$	−11.5604	+	43.1441i	−0.455899	+	1.70144i	0.229532	+	0.973301i	$0.426281\pi$
$643$	−11.5604	+	43.1441i	−0.455899	+	1.70144i	−0.685431	+	0.728138i	$0.740386\pi$
$644$	−4.52813	+	8.22008i	−0.178433	+	0.323916i
$645$	−1.43652	−	1.43652i	−0.0565630	−	0.0565630i
$646$	23.3162			0.917365
$647$	−10.4061			−0.409105			−0.204552	−	0.978856i	$-0.565574\pi$
$647$	−10.4061			−0.409105			−0.204552	+	0.978856i	$0.565574\pi$
$648$	10.5093	+	10.5093i	0.412845	+	0.412845i
$649$	1.26956	−	2.19895i	0.0498347	−	0.0863163i
$650$	9.98423	−	12.0021i	0.391614	−	0.470761i
$651$	8.15538	−	8.48990i	0.319635	−	0.332745i
$652$	−1.04318	−	3.89321i	−0.0408542	−	0.152470i
$653$	5.21928	+	9.04007i	0.204246	+	0.353765i	0.949892	−	0.312577i	$-0.101192\pi$
$653$	5.21928	+	9.04007i	0.204246	+	0.353765i	−0.745646	+	0.666342i	$0.767859\pi$
$654$	−3.05295	+	5.28786i	−0.119380	+	0.206772i
$655$	8.06620	+	2.16133i	0.315172	+	0.0844502i
$656$	−6.94012	−	6.94012i	−0.270966	−	0.270966i
$657$	18.3865	+	4.92666i	0.717327	+	0.192207i
$658$	8.30413	+	4.57443i	0.323729	+	0.178330i
$659$	−3.86557	−	6.69537i	−0.150581	−	0.260815i	0.780860	−	0.624706i	$-0.214781\pi$
$659$	−3.86557	−	6.69537i	−0.150581	−	0.260815i	−0.931441	+	0.363892i	$0.881448\pi$
$660$	1.23481	−	0.712918i	0.0480649	−	0.0277503i
$661$	31.6749	−	31.6749i	1.23201	−	1.23201i	0.268821	−	0.963190i	$-0.413366\pi$
$661$	31.6749	−	31.6749i	1.23201	−	1.23201i	0.963190	−	0.268821i	$-0.0866339\pi$
$662$	8.30322	−	4.79387i	0.322714	−	0.186319i
$663$	−11.4695	+	1.05265i	−0.445438	+	0.0408815i
$664$			4.75580i			0.184561i
$665$	7.99390	−	4.83200i	0.309990	−	0.187377i
$666$	13.3766	−	23.1690i	0.518334	−	0.897780i
$667$			4.26443i			0.165119i
$668$	1.65334	−	6.17033i	0.0639695	−	0.238737i
$669$	0.840045	+	3.13509i	0.0324780	+	0.121210i
$670$	27.4914	−	27.4914i	1.06208	−	1.06208i
$671$	10.5431	−	10.5431i	0.407012	−	0.407012i
$672$	−1.12207	+	4.55154i	−0.0432847	+	0.175579i
$673$	−19.6804	−	11.3625i	−0.758625	−	0.437992i	0.0701768	−	0.997535i	$-0.477644\pi$
$673$	−19.6804	−	11.3625i	−0.758625	−	0.437992i	−0.828802	+	0.559542i	$0.810977\pi$
$674$	4.84112	−	18.0673i	0.186473	−	0.695927i
$675$	−3.93466	−	6.81503i	−0.151445	−	0.262311i
$676$	6.23767	−	5.32514i	0.239910	−	0.204813i
$677$	−7.56955	−	4.37028i	−0.290921	−	0.167964i	0.347436	−	0.937704i	$-0.387052\pi$
$677$	−7.56955	−	4.37028i	−0.290921	−	0.167964i	−0.638357	+	0.769740i	$0.720386\pi$
$678$	−13.1367	+	3.51996i	−0.504510	+	0.135183i
$679$	−6.88502	−	6.61373i	−0.264223	−	0.253812i
$680$	−18.2488	+	10.5359i	−0.699809	+	0.404035i
$681$	3.13226	+	11.6897i	0.120028	+	0.447952i
$682$	39.0754	−	10.4702i	1.49627	−	0.400925i
$683$	−2.15549	+	0.577561i	−0.0824774	+	0.0220998i	−0.299822	−	0.953995i	$-0.596927\pi$
$683$	−2.15549	+	0.577561i	−0.0824774	+	0.0220998i	0.217344	+	0.976095i	$0.430261\pi$
$684$	1.03314	+	3.85575i	0.0395032	+	0.147428i
$685$	2.31951	−	1.33917i	0.0886240	−	0.0511671i
$686$	29.4320	+	6.01266i	1.12372	+	0.229564i
$687$	−9.39407	+	2.51713i	−0.358406	+	0.0960346i
$688$	10.9071	+	6.29720i	0.415828	+	0.240078i
$689$	16.1960	+	7.46859i	0.617019	+	0.284531i
$690$	3.57737	+	6.19618i	0.136188	+	0.235885i
$691$	1.19272	−	4.45128i	0.0453731	−	0.169335i	−0.939521	−	0.342490i	$-0.888730\pi$
$691$	1.19272	−	4.45128i	0.0453731	−	0.169335i	0.984895	+	0.173155i	$0.0553963\pi$
$692$	−9.64206	−	5.56685i	−0.366536	−	0.211620i
$693$	−20.0286	+	5.80040i	−0.760825	+	0.220339i
$694$	10.4061	−	10.4061i	0.395012	−	0.395012i
$695$	−8.89907	+	8.89907i	−0.337561	+	0.337561i
$696$	0.224041	+	0.836132i	0.00849225	+	0.0316935i
$697$	−3.24638	+	12.1156i	−0.122965	+	0.458913i
$698$		−	48.7437i		−	1.84498i
$699$	1.88933	−	3.27241i	0.0714609	−	0.123774i
$700$	−2.14998	+	3.90294i	−0.0812616	+	0.147517i
$701$		−	10.7910i		−	0.407569i	−0.979016	−	0.203784i	$-0.934676\pi$
$701$		−	10.7910i		−	0.407569i	0.979016	−	0.203784i	$-0.0653242\pi$
$702$	−5.96513	−	16.1746i	−0.225139	−	0.610470i
$703$	−12.0746	+	6.97128i	−0.455403	+	0.262927i
$704$	8.42371	−	8.42371i	0.317481	−	0.317481i
$705$	1.50104	−	0.866628i	0.0565326	−	0.0326391i
$706$	23.5012	+	40.7053i	0.884481	+	1.53197i
$707$	25.1350	−	45.6285i	0.945300	−	1.71604i
$708$	−0.276050	−	0.0739674i	−0.0103746	−	0.00277987i
$709$	16.3787	+	16.3787i	0.615115	+	0.615115i	0.944274	−	0.329160i	$-0.106765\pi$
$709$	16.3787	+	16.3787i	0.615115	+	0.615115i	−0.329160	+	0.944274i	$0.606765\pi$
$710$	25.5140	+	6.83646i	0.957524	+	0.256568i
$711$	−11.6210	+	20.1282i	−0.435823	+	0.754867i
$712$	−9.28930	−	16.0895i	−0.348131	−	0.602981i
$713$	12.5988	+	47.0195i	0.471830	+	1.76090i
$714$	13.1676	−	3.81340i	0.492783	−	0.142713i
$715$	−15.7894	+	1.44912i	−0.590490	+	0.0541941i
$716$	6.37929	−	11.0493i	0.238405	−	0.412930i
$717$	−2.10014	−	2.10014i	−0.0784312	−	0.0784312i
$718$	14.3188			0.534374
$719$	35.8985			1.33879			0.669394	−	0.742907i	$-0.266554\pi$
$719$	35.8985			1.33879			0.669394	+	0.742907i	$0.266554\pi$
$720$	−14.3640	−	14.3640i	−0.535314	−	0.535314i
$721$	−12.8689	−	21.2898i	−0.479261	−	0.792874i
$722$	−5.73099	+	21.3883i	−0.213285	+	0.795991i
$723$	14.2670	−	3.82283i	0.530595	−	0.142172i
$724$	9.54223	+	5.50921i	0.354634	+	0.204748i
$725$			2.02477i			0.0751983i
$726$	−2.17538	−	0.582891i	−0.0807358	−	0.0216331i
$727$	−40.7770			−1.51234			−0.756168	−	0.654377i	$-0.772931\pi$
$727$	−40.7770			−1.51234			−0.756168	+	0.654377i	$0.772931\pi$
$728$	13.2178	−	16.5547i	0.489882	−	0.613558i
$729$	13.7655			0.509832
$730$	−16.6408	−	4.45890i	−0.615905	−	0.165031i
$731$		−	16.0953i		−	0.595305i
$732$	−1.45336	−	0.839099i	−0.0537178	−	0.0310140i
$733$	−24.0007	+	6.43098i	−0.886487	+	0.237533i	−0.673204	−	0.739457i	$-0.735082\pi$
$733$	−24.0007	+	6.43098i	−0.886487	+	0.237533i	−0.213283	+	0.976990i	$0.568416\pi$
$734$	5.57860	−	20.8196i	0.205910	−	0.768466i
$735$	3.72418	−	4.03622i	0.137368	−	0.148878i
$736$	−13.7065	−	13.7065i	−0.505227	−	0.505227i
$737$	45.2307			1.66610
$738$	−8.95485			−0.329632
$739$	−30.0193	−	30.0193i	−1.10428	−	1.10428i	−0.993888	−	0.110389i	$-0.964790\pi$
$739$	−30.0193	−	30.0193i	−1.10428	−	1.10428i	−0.110389	−	0.993888i	$-0.535210\pi$
$740$	−2.90317	+	5.02844i	−0.106723	+	0.184849i
$741$	−0.726179	+	4.22338i	−0.0266768	+	0.155150i
$742$	−20.6107	−	5.08105i	−0.756643	−	0.186531i
$743$	−6.30753	−	23.5400i	−0.231401	−	0.863600i	−0.979738	−	0.200282i	$-0.935814\pi$
$743$	−6.30753	−	23.5400i	−0.231401	−	0.863600i	0.748337	−	0.663318i	$-0.230852\pi$
$744$	4.94054	+	8.55727i	0.181129	+	0.313725i
$745$	3.39695	−	5.88369i	0.124455	−	0.215562i
$746$	12.9254	+	3.46336i	0.473233	+	0.126802i
$747$	4.14300	+	4.14300i	0.151585	+	0.151585i
$748$	10.9115	+	2.92373i	0.398964	+	0.106902i
$749$	−0.190036	+	0.00381912i	−0.00694375	+	0.000139547i
$750$	4.87992	+	8.45226i	0.178189	+	0.308633i
$751$	−24.6348	+	14.2229i	−0.898936	+	0.519001i	−0.876855	−	0.480755i	$-0.840363\pi$
$751$	−24.6348	+	14.2229i	−0.898936	+	0.519001i	−0.0220813	+	0.999756i	$0.507029\pi$
$752$	−7.59797	+	7.59797i	−0.277070	+	0.277070i
$753$	−8.65841	+	4.99894i	−0.315530	+	0.182171i
$754$	−0.751658	+	4.37156i	−0.0273738	+	0.159203i
$755$		−	13.7410i		−	0.500086i
$756$	2.54534	+	4.21093i	0.0925731	+	0.153150i
$757$	−26.0081	+	45.0474i	−0.945282	+	1.63728i	−0.190095	+	0.981766i	$0.560880\pi$
$757$	−26.0081	+	45.0474i	−0.945282	+	1.63728i	−0.755187	+	0.655510i	$0.772454\pi$
$758$		−	5.61873i		−	0.204082i
$759$	−2.15433	+	8.04006i	−0.0781972	+	0.291836i
$760$	2.02918	+	7.57301i	0.0736062	+	0.274702i
$761$	−4.19144	+	4.19144i	−0.151939	+	0.151939i	−0.778984	−	0.627044i	$-0.784265\pi$
$761$	−4.19144	+	4.19144i	−0.151939	+	0.151939i	0.627044	+	0.778984i	$0.284265\pi$
$762$	10.1438	−	10.1438i	0.367470	−	0.367470i
$763$	−13.4254	+	13.9761i	−0.486031	+	0.505967i
$764$	0.0227228	+	0.0131190i	0.000822080	+	0.000474628i
$765$	−6.71904	+	25.0758i	−0.242927	+	0.906617i
$766$	−27.9220	−	48.3623i	−1.00886	−	1.74740i
$767$	2.44320	+	2.03244i	0.0882190	+	0.0733871i
$768$	−6.13895	−	3.54433i	−0.221520	−	0.127895i
$769$	−0.310861	+	0.0832949i	−0.0112099	+	0.00300369i	−0.264420	−	0.964408i	$-0.585180\pi$
$769$	−0.310861	+	0.0832949i	−0.0112099	+	0.00300369i	0.253210	+	0.967411i	$0.418514\pi$
$770$	18.1270	−	5.24969i	0.653253	−	0.189186i
$771$	11.2180	−	6.47670i	0.404005	−	0.233253i
$772$	2.03949	+	7.61148i	0.0734028	+	0.273943i
$773$	30.7110	−	8.22900i	1.10460	−	0.295977i	0.339963	−	0.940439i	$-0.389585\pi$
$773$	30.7110	−	8.22900i	1.10460	−	0.295977i	0.764636	+	0.644462i	$0.222919\pi$
$774$	11.0994	−	2.97406i	0.398958	−	0.106900i
$775$	5.98200	+	22.3251i	0.214880	+	0.801942i
$776$	6.93965	−	4.00661i	0.249119	−	0.143829i
$777$	−5.67883	+	5.91176i	−0.203727	+	0.212083i
$778$	−14.6104	+	3.91484i	−0.523807	+	0.140354i
$779$	4.04161	+	2.33343i	0.144806	+	0.0836037i
$780$	0.617508	+	1.67439i	0.0221103	+	0.0599526i
$781$	15.3648	+	26.6126i	0.549796	+	0.952274i
$782$	−14.6710	+	54.7531i	−0.524635	+	1.95797i
$783$	1.93630	+	1.11792i	0.0691976	+	0.0399513i
$784$	−15.8248	+	30.1451i	−0.565171	+	1.07661i
$785$	−5.24887	+	5.24887i	−0.187340	+	0.187340i
$786$	3.22434	−	3.22434i	0.115009	−	0.115009i
$787$	−8.68944	−	32.4294i	−0.309745	−	1.15598i	−0.928783	−	0.370623i	$-0.879144\pi$
$787$	−8.68944	−	32.4294i	−0.309745	−	1.15598i	0.619038	−	0.785361i	$-0.287523\pi$
$788$	−0.607277	+	2.26639i	−0.0216334	+	0.0807368i
$789$			16.0749i			0.572282i
$790$	10.5177	−	18.2172i	0.374202	−	0.648137i
$791$	−43.1569	+	0.867317i	−1.53448	+	0.0308383i
$792$		−	17.5017i		−	0.621897i
$793$	10.7691	+	15.2414i	0.382422	+	0.541238i
$794$	−27.7891	+	16.0440i	−0.986198	+	0.569382i
$795$	−2.74417	+	2.74417i	−0.0973256	+	0.0973256i
$796$	−4.79549	+	2.76868i	−0.169972	+	0.0981333i
$797$	−6.34434	−	10.9887i	−0.224728	−	0.389240i	0.731510	−	0.681831i	$-0.238816\pi$
$797$	−6.34434	−	10.9887i	−0.224728	−	0.389240i	−0.956238	+	0.292591i	$0.905483\pi$
$798$	−0.102484	−	5.09950i	−0.00362789	−	0.180520i
$799$	13.2641	+	3.55410i	0.469250	+	0.125735i
$800$	−6.50790	−	6.50790i	−0.230089	−	0.230089i
$801$	−22.1087	−	5.92402i	−0.781174	−	0.209315i
$802$	−9.76605	+	16.9153i	−0.344851	+	0.597300i
$803$	−10.0213	−	17.3574i	−0.353644	−	0.612529i
$804$	−1.31762	−	4.91742i	−0.0464688	−	0.173424i
$805$	6.31697	+	21.8123i	0.222644	+	0.768783i
$806$	4.62759	+	50.4215i	0.163000	+	1.77602i
$807$	−2.31729	+	4.01366i	−0.0815724	+	0.141288i
$808$	30.9178	+	30.9178i	1.08769	+	1.08769i
$809$	−42.8045			−1.50493			−0.752463	−	0.658635i	$-0.771134\pi$
$809$	−42.8045			−1.50493			−0.752463	+	0.658635i	$0.771134\pi$
$810$	−16.5719			−0.582277
$811$	−1.51360	−	1.51360i	−0.0531496	−	0.0531496i	0.680032	−	0.733182i	$-0.261966\pi$
$811$	−1.51360	−	1.51360i	−0.0531496	−	0.0531496i	−0.733182	+	0.680032i	$0.761966\pi$
$812$	−0.0254380	−	1.26577i	−0.000892699	−	0.0444199i
$813$	−0.453053	+	1.69082i	−0.0158893	+	0.0592995i
$814$	−27.2093	+	7.29072i	−0.953686	+	0.255539i
$815$	−8.44623	−	4.87643i	−0.295858	−	0.170814i
$816$			15.5369i			0.543902i
$817$	−5.78447	−	1.54994i	−0.202373	−	0.0542257i
$818$	31.6242			1.10571
$819$	−2.90698	−	25.9362i	−0.101578	−	0.906285i
$820$	1.94350			0.0678699
$821$	−36.3415	−	9.73769i	−1.26833	−	0.339848i	−0.438938	−	0.898517i	$-0.644645\pi$
$821$	−36.3415	−	9.73769i	−1.26833	−	0.339848i	−0.829390	+	0.558670i	$0.811312\pi$
$822$		−	1.46250i		−	0.0510107i
$823$	−38.5355	−	22.2485i	−1.34326	−	0.775533i	−0.355977	−	0.934495i	$-0.615852\pi$
$823$	−38.5355	−	22.2485i	−1.34326	−	0.775533i	−0.987285	+	0.158962i	$0.949185\pi$
$824$	20.1689	−	5.40424i	0.702616	−	0.188266i
$825$	−1.02289	+	3.81747i	−0.0356124	+	0.132907i
$826$	−3.31317	−	1.82510i	−0.115280	−	0.0635033i
$827$	12.3898	+	12.3898i	0.430835	+	0.430835i	0.888912	−	0.458077i	$-0.151462\pi$
$827$	12.3898	+	12.3898i	0.430835	+	0.430835i	−0.458077	+	0.888912i	$0.651462\pi$
$828$	−9.70445			−0.337253
$829$	−42.2761			−1.46831			−0.734155	−	0.678982i	$-0.762421\pi$
$829$	−42.2761			−1.46831			−0.734155	+	0.678982i	$0.762421\pi$
$830$	−3.74965	−	3.74965i	−0.130152	−	0.130152i
$831$	−1.03532	+	1.79322i	−0.0359147	+	0.0622061i
$832$	8.60428	+	12.1776i	0.298300	+	0.422181i
$833$	43.4750	−	1.74813i	1.50632	−	0.0605690i
$834$	1.77864	+	6.63796i	0.0615891	+	0.229854i
$835$	−7.72863	−	13.3864i	−0.267460	−	0.463255i
$836$	2.10151	−	3.63993i	0.0726823	−	0.125889i
$837$	24.6524	+	6.60558i	0.852110	+	0.228322i
$838$	−4.43328	−	4.43328i	−0.153145	−	0.153145i
$839$	−25.6907	−	6.88379i	−0.886940	−	0.237655i	−0.213541	−	0.976934i	$-0.568500\pi$
$839$	−25.6907	−	6.88379i	−0.886940	−	0.237655i	−0.673399	+	0.739279i	$0.735166\pi$
$840$	2.38453	+	3.94489i	0.0822742	+	0.136112i
$841$	14.2124	+	24.6165i	0.490081	+	0.848846i
$842$	−7.26640	+	4.19526i	−0.250417	+	0.144578i
$843$	1.68830	−	1.68830i	0.0581482	−	0.0581482i
$844$	−3.64606	+	2.10506i	−0.125503	+	0.0724590i
$845$	1.56134	−	19.7841i	0.0537117	−	0.680593i
$846$			9.80368i			0.337058i
$847$	−6.26096	−	3.44892i	−0.215129	−	0.118506i
$848$	12.0295	−	20.8356i	0.413093	−	0.715498i
$849$			0.529169i			0.0181610i
$850$	−6.96589	+	25.9971i	−0.238928	+	0.891691i
$851$	−8.77294	−	32.7411i	−0.300732	−	1.12235i
$852$	2.44569	−	2.44569i	0.0837881	−	0.0837881i
$853$	0.950856	−	0.950856i	0.0325567	−	0.0325567i	−0.690641	−	0.723198i	$-0.742672\pi$
$853$	0.950856	−	0.950856i	0.0325567	−	0.0325567i	0.723198	+	0.690641i	$0.242672\pi$
$854$	−16.0187	−	15.3875i	−0.548149	−	0.526551i
$855$	8.36494	+	4.82950i	0.286075	+	0.165165i
$856$	0.0412914	−	0.154102i	0.00141131	−	0.00526709i
$857$	21.1903	+	36.7026i	0.723845	+	1.25374i	0.959447	+	0.281887i	$0.0909605\pi$
$857$	21.1903	+	36.7026i	0.723845	+	1.25374i	−0.235602	+	0.971850i	$0.575706\pi$
$858$	−3.62561	+	7.86232i	−0.123776	+	0.268415i
$859$	−5.83030	−	3.36613i	−0.198927	−	0.114851i	0.397228	−	0.917720i	$-0.369972\pi$
$859$	−5.83030	−	3.36613i	−0.198927	−	0.114851i	−0.596155	+	0.802869i	$0.703306\pi$
$860$	−2.40893	+	0.645470i	−0.0821437	+	0.0220103i
$861$	2.66409	+	0.656763i	0.0907918	+	0.0223824i
$862$	14.1340	−	8.16026i	0.481405	−	0.277939i
$863$	−4.77484	−	17.8200i	−0.162537	−	0.606598i	−0.998341	−	0.0575702i	$-0.981665\pi$
$863$	−4.77484	−	17.8200i	−0.162537	−	0.606598i	0.835804	−	0.549028i	$-0.185002\pi$
$864$	−9.81668	+	2.63037i	−0.333970	+	0.0894871i
$865$	−26.0226	+	6.97273i	−0.884795	+	0.237080i
$866$	−3.19850	−	11.9370i	−0.108689	−	0.405634i
$867$	9.62934	−	5.55950i	0.327030	−	0.188811i
$868$	−4.02008	−	13.8812i	−0.136450	−	0.471159i
$869$	23.6383	−	6.33386i	0.801874	−	0.214861i
$870$	−0.835881	−	0.482596i	−0.0283390	−	0.0163615i
$871$	−9.59329	+	55.7936i	−0.325056	+	1.89049i
$872$	−8.13311	−	14.0870i	−0.275422	−	0.477045i
$873$	2.55511	−	9.53582i	0.0864775	−	0.322739i
$874$	18.2649	+	10.5452i	0.617819	+	0.356698i
$875$	8.61702	+	29.7543i	0.291309	+	1.00588i
$876$	−1.59514	+	1.59514i	−0.0538948	+	0.0538948i
$877$	10.6547	−	10.6547i	0.359785	−	0.359785i	−0.503948	−	0.863734i	$-0.668120\pi$
$877$	10.6547	−	10.6547i	0.359785	−	0.359785i	0.863734	+	0.503948i	$0.168120\pi$
$878$	−9.38800	−	35.0365i	−0.316830	−	1.18242i
$879$	3.40120	−	12.6934i	0.114719	−	0.428139i
$880$			21.3888i			0.721018i
$881$	22.3633	−	38.7344i	0.753439	−	1.30500i	−0.192707	−	0.981256i	$-0.561727\pi$
$881$	22.3633	−	38.7344i	0.753439	−	1.30500i	0.946146	−	0.323739i	$-0.104940\pi$
$882$	9.23877	+	29.6575i	0.311086	+	0.998620i
$883$			46.5076i			1.56510i	0.622585	+	0.782552i	$0.286083\pi$
$883$			46.5076i			1.56510i	−0.622585	+	0.782552i	$0.713917\pi$
$884$	−5.92080	+	12.8396i	−0.199138	+	0.431842i
$885$	−0.598884	+	0.345766i	−0.0201313	+	0.0116228i
$886$	29.4666	−	29.4666i	0.989951	−	0.989951i
$887$	39.8820	−	23.0259i	1.33911	−	0.773133i	0.352431	−	0.935838i	$-0.385355\pi$
$887$	39.8820	−	23.0259i	1.33911	−	0.773133i	0.986675	+	0.162704i	$0.0520217\pi$
$888$	−3.44024	−	5.95867i	−0.115447	−	0.199960i
$889$	38.9660	−	23.5534i	1.30688	−	0.789957i
$890$	20.0096	+	5.36156i	0.670724	+	0.179720i
$891$	−13.6326	−	13.6326i	−0.456710	−	0.456710i
$892$	3.84860	+	1.03123i	0.128861	+	0.0345281i
$893$	2.55461	−	4.42472i	0.0854869	−	0.148068i
$894$	−1.85490	−	3.21278i	−0.0620371	−	0.107451i
$895$	−7.99036	−	29.8204i	−0.267088	−	0.996787i
$896$	−25.9550	−	24.9324i	−0.867097	−	0.832932i
$897$	−9.46076	−	4.36271i	−0.315885	−	0.145667i
$898$	2.57462	−	4.45937i	0.0859161	−	0.148811i
$899$	−4.64344	−	4.64344i	−0.154867	−	0.154867i
$900$	−4.60773			−0.153591
$901$	−30.7466			−1.02432
$902$	6.66715	+	6.66715i	0.221992	+	0.221992i
$903$	−3.52020	+	0.0707450i	−0.117145	+	0.00235424i
$904$	9.37724	−	34.9963i	0.311882	−	1.16396i
$905$	25.7532	−	6.90054i	0.856064	−	0.229382i
$906$	−6.49800	−	3.75162i	−0.215882	−	0.124639i
$907$			31.8775i			1.05847i	0.848474	+	0.529237i	$0.177522\pi$
$907$			31.8775i			1.05847i	−0.848474	+	0.529237i	$0.822478\pi$
$908$	14.3502	+	3.84512i	0.476227	+	0.127605i
$909$	53.8681			1.78669
$910$	2.63098	+	23.4737i	0.0872161	+	0.778147i
$911$	34.8516			1.15469			0.577343	−	0.816502i	$-0.304090\pi$
$911$	34.8516			1.15469			0.577343	+	0.816502i	$0.304090\pi$
$912$	5.58381	+	1.49618i	0.184899	+	0.0495434i
$913$		−	6.16918i		−	0.204170i
$914$	−46.1204	−	26.6276i	−1.52553	−	0.880764i
$915$	−3.92242	+	1.05101i	−0.129671	+	0.0347453i
$916$	−3.09000	+	11.5320i	−0.102096	+	0.381029i
$917$	12.3859	−	7.48679i	0.409018	−	0.247236i
$918$	21.0150	+	21.0150i	0.693599	+	0.693599i
$919$	−3.81023			−0.125688			−0.0628439	−	0.998023i	$-0.520017\pi$
$919$	−3.81023			−0.125688			−0.0628439	+	0.998023i	$0.520017\pi$
$920$	−19.0604			−0.628402
$921$	7.20500	+	7.20500i	0.237413	+	0.237413i
$922$	−4.34491	+	7.52561i	−0.143092	+	0.247843i
$923$	−36.0864	+	13.3085i	−1.18780	+	0.438056i
$924$	0.591489	−	2.39931i	0.0194586	−	0.0789315i
$925$	−4.16544	−	15.5456i	−0.136959	−	0.511137i
$926$	19.5187	+	33.8073i	0.641423	+	1.11098i
$927$	12.8622	−	22.2780i	0.422450	−	0.731705i
$928$	2.52583	+	0.676794i	0.0829145	+	0.0222169i
$929$	26.6060	+	26.6060i	0.872914	+	0.872914i	0.992789	−	0.119875i	$-0.0382495\pi$
$929$	26.6060	+	26.6060i	0.872914	+	0.872914i	−0.119875	+	0.992789i	$0.538249\pi$
$930$	−10.6422	−	2.85157i	−0.348971	−	0.0935065i
$931$	3.55830	−	15.7928i	0.116619	−	0.517588i
$932$	−2.31931	−	4.01717i	−0.0759717	−	0.131587i
$933$	2.85606	−	1.64895i	0.0935032	−	0.0539841i
$934$	−8.56633	+	8.56633i	−0.280299	+	0.280299i
$935$	23.6722	−	13.6672i	0.774164	−	0.446964i
$936$	21.5890	+	3.71206i	0.705657	+	0.121333i
$937$		−	38.0350i		−	1.24255i	−0.783593	−	0.621275i	$-0.786615\pi$
$937$		−	38.0350i		−	1.24255i	0.783593	−	0.621275i	$-0.213385\pi$
$938$	−1.35388	−	67.3677i	−0.0442057	−	2.19963i
$939$	6.46863	−	11.2040i	0.211096	−	0.365628i
$940$		−	2.12772i		−	0.0693987i
$941$	−6.79732	+	25.3679i	−0.221586	+	0.826971i	0.762157	+	0.647392i	$0.224140\pi$
$941$	−6.79732	+	25.3679i	−0.221586	+	0.826971i	−0.983744	+	0.179579i	$0.942526\pi$
$942$	1.04908	+	3.91522i	0.0341808	+	0.127565i
$943$	−8.02260	+	8.02260i	−0.261252	+	0.261252i
$944$	3.03143	−	3.03143i	0.0986645	−	0.0986645i
$945$	11.5600	+	2.84984i	0.376048	+	0.0927052i
$946$	−10.4781	−	6.04952i	−0.340672	−	0.196687i
$947$	−2.01713	+	7.52805i	−0.0655480	+	0.244629i	−0.990924	−	0.134421i	$-0.957082\pi$
$947$	−2.01713	+	7.52805i	−0.0655480	+	0.244629i	0.925376	+	0.379050i	$0.123749\pi$
$948$	−1.37722	−	2.38541i	−0.0447299	−	0.0774745i
$949$	23.5364	−	8.68014i	0.764023	−	0.281769i
$950$	8.67226	+	5.00693i	0.281365	+	0.162446i
$951$	11.9614	−	3.20505i	0.387875	−	0.103931i
$952$	−8.74139	+	35.4585i	−0.283310	+	1.14922i
$953$	−7.95143	+	4.59076i	−0.257572	+	0.148709i	−0.623227	−	0.782041i	$-0.714179\pi$
$953$	−7.95143	+	4.59076i	−0.257572	+	0.148709i	0.365654	+	0.930751i	$0.380845\pi$
$954$	−5.68131	−	21.2029i	−0.183939	−	0.686470i
$955$	0.0613256	−	0.0164321i	0.00198445	−	0.000531732i
$956$	−3.52176	+	0.943653i	−0.113902	+	0.0305199i
$957$	−0.290624	−	1.08462i	−0.00939455	−	0.0350609i
$958$	29.2840	−	16.9071i	0.946124	−	0.546245i
$959$	1.11107	−	4.50695i	0.0358785	−	0.145537i
$960$	−3.13393	+	0.839735i	−0.101147	+	0.0271023i
$961$	−38.0702	−	21.9798i	−1.22807	−	0.709027i
$962$	−3.22233	−	35.1099i	−0.103892	−	1.13199i
$963$	−0.0982745	−	0.170216i	−0.00316685	−	0.00548515i
$964$	4.69285	−	17.5140i	0.151147	−	0.564087i
$965$	16.5129	+	9.53373i	0.531569	+	0.306902i
$966$	12.0395	+	2.96805i	0.387366	+	0.0954954i
$967$	29.3315	−	29.3315i	0.943237	−	0.943237i	−0.0552359	−	0.998473i	$-0.517591\pi$
$967$	29.3315	−	29.3315i	0.943237	−	0.943237i	0.998473	+	0.0552359i	$0.0175911\pi$
$968$	4.24242	−	4.24242i	0.136356	−	0.136356i
$969$	−1.91207	−	7.13595i	−0.0614246	−	0.229240i
$970$	−2.31252	+	8.63045i	−0.0742506	+	0.277107i
$971$			37.5461i			1.20491i	0.798153	+	0.602455i	$0.205811\pi$
$971$			37.5461i			1.20491i	−0.798153	+	0.602455i	$0.794189\pi$
$972$	−3.87461	+	6.71102i	−0.124278	+	0.215256i
$973$	0.438256	+	21.8072i	0.0140498	+	0.699107i
$974$			30.2843i			0.970371i
$975$	−4.49202	−	2.07144i	−0.143860	−	0.0663391i
$976$	21.8017	−	12.5872i	0.697857	−	0.402908i
$977$	−20.3670	+	20.3670i	−0.651599	+	0.651599i	−0.953378	−	0.301779i	$-0.902420\pi$
$977$	−20.3670	+	20.3670i	−0.651599	+	0.651599i	0.301779	+	0.953378i	$0.402420\pi$
$978$	−4.61205	+	2.66277i	−0.147477	+	0.0851460i
$979$	12.0500	+	20.8712i	0.385120	+	0.667047i
$980$	−2.00512	−	6.43666i	−0.0640512	−	0.205612i
$981$	−19.3570	−	5.18669i	−0.618021	−	0.165598i
$982$	−35.7095	−	35.7095i	−1.13954	−	1.13954i
$983$	19.0237	+	5.09738i	0.606762	+	0.162581i	0.549102	−	0.835755i	$-0.314970\pi$
$983$	19.0237	+	5.09738i	0.606762	+	0.162581i	0.0576591	+	0.998336i	$0.481636\pi$
$984$	−1.15152	+	1.99449i	−0.0367090	+	0.0635819i
$985$	2.83876	+	4.91687i	0.0904504	+	0.156665i
$986$	−1.97916	−	7.38633i	−0.0630293	−	0.235229i
$987$	0.719018	−	2.91662i	0.0228866	−	0.0928369i
$988$	4.04424	+	3.36430i	0.128665	+	0.107033i
$989$	7.27941	−	12.6083i	0.231472	−	0.400921i
$990$	13.7990	+	13.7990i	0.438562	+	0.438562i
$991$	35.2204			1.11881			0.559407	−	0.828893i	$-0.311029\pi$
$991$	35.2204			1.11881			0.559407	+	0.828893i	$0.311029\pi$
$992$	29.8493			0.947716
$993$	−2.14808	−	2.14808i	−0.0681673	−	0.0681673i
$994$	39.1776	−	23.6813i	1.24264	−	0.751125i
$995$	−3.46790	+	12.9424i	−0.109940	+	0.410301i
$996$	−0.670705	+	0.179715i	−0.0212521	+	0.00569448i
$997$	−31.7101	−	18.3078i	−1.00427	−	0.579814i	−0.0947594	−	0.995500i	$-0.530208\pi$
$997$	−31.7101	−	18.3078i	−1.00427	−	0.579814i	−0.909508	+	0.415686i	$0.863541\pi$
$998$			30.0584i			0.951483i
$999$	−17.1662	−	4.59966i	−0.543113	−	0.145527i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	91.2.w.a.19.2	✓	28
3.2	odd	2		819.2.gh.b.19.6		28
7.2	even	3		637.2.bd.a.97.6		28
7.3	odd	6		91.2.ba.a.45.6	yes	28
7.4	even	3		637.2.bb.a.227.6		28
7.5	odd	6		637.2.bd.b.97.6		28
7.6	odd	2		637.2.x.a.19.2		28
13.11	odd	12		91.2.ba.a.89.6	yes	28
21.17	even	6		819.2.et.b.136.2		28
39.11	even	12		819.2.et.b.271.2		28
91.11	odd	12		637.2.x.a.570.2		28
91.24	even	12	inner	91.2.w.a.24.2	yes	28
91.37	odd	12		637.2.bd.b.440.6		28
91.76	even	12		637.2.bb.a.362.6		28
91.89	even	12		637.2.bd.a.440.6		28
273.206	odd	12		819.2.gh.b.388.6		28

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
91.2.w.a.19.2	✓	28	1.1	even	1	trivial
91.2.w.a.24.2	yes	28	91.24	even	12	inner
91.2.ba.a.45.6	yes	28	7.3	odd	6
91.2.ba.a.89.6	yes	28	13.11	odd	12
637.2.x.a.19.2		28	7.6	odd	2
637.2.x.a.570.2		28	91.11	odd	12
637.2.bb.a.227.6		28	7.4	even	3
637.2.bb.a.362.6		28	91.76	even	12
637.2.bd.a.97.6		28	7.2	even	3
637.2.bd.a.440.6		28	91.89	even	12
637.2.bd.b.97.6		28	7.5	odd	6
637.2.bd.b.440.6		28	91.37	odd	12
819.2.et.b.136.2		28	21.17	even	6
819.2.et.b.271.2		28	39.11	even	12
819.2.gh.b.19.6		28	3.2	odd	2
819.2.gh.b.388.6		28	273.206	odd	12

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 91 = 7 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	91.w (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.56673 - 0.419805i) q^{2} +0.513926i q^{3} +(0.546366 + 0.315445i) q^{4} +(1.47457 - 0.395109i) q^{5} +(0.215749 - 0.805186i) q^{6} +(1.27657 - 2.31741i) q^{7} +(1.57027 + 1.57027i) q^{8} +2.73588 q^{9} +O(q^{10})\)	\(q+(-1.56673 - 0.419805i) q^{2} +0.513926i q^{3} +(0.546366 + 0.315445i) q^{4} +(1.47457 - 0.395109i) q^{5} +(0.215749 - 0.805186i) q^{6} +(1.27657 - 2.31741i) q^{7} +(1.57027 + 1.57027i) q^{8} +2.73588 q^{9} -2.47612 q^{10} +(-2.03695 - 2.03695i) q^{11} +(-0.162115 + 0.280792i) q^{12} +(2.94467 - 2.08061i) q^{13} +(-2.97290 + 3.09485i) q^{14} +(0.203057 + 0.757819i) q^{15} +(-2.43188 - 4.21214i) q^{16} +(-3.10787 + 5.38299i) q^{17} +(-4.28639 - 1.14854i) q^{18} +(1.63531 + 1.63531i) q^{19} +(0.930289 + 0.249270i) q^{20} +(1.19098 + 0.656063i) q^{21} +(2.33623 + 4.04647i) q^{22} +(-4.86913 + 2.81119i) q^{23} +(-0.807004 + 0.807004i) q^{24} +(-2.31189 + 1.33477i) q^{25} +(-5.48696 + 2.02357i) q^{26} +2.94782i q^{27} +(1.42849 - 0.863465i) q^{28} +(0.379237 - 0.656858i) q^{29} -1.27255i q^{30} +(2.24084 - 8.36292i) q^{31} +(0.892311 + 3.33015i) q^{32} +(1.04684 - 1.04684i) q^{33} +(7.12901 - 7.12901i) q^{34} +(0.966761 - 3.92156i) q^{35} +(1.49479 + 0.863019i) q^{36} +(-1.56036 + 5.82334i) q^{37} +(-1.87558 - 3.24860i) q^{38} +(1.06928 + 1.51334i) q^{39} +(2.93590 + 1.69504i) q^{40} +(1.94919 - 0.522283i) q^{41} +(-1.59052 - 1.52785i) q^{42} +(-2.24252 + 1.29472i) q^{43} +(-0.470375 - 1.75546i) q^{44} +(4.03424 - 1.08097i) q^{45} +(8.80878 - 2.36030i) q^{46} +(-0.571791 - 2.13395i) q^{47} +(2.16473 - 1.24981i) q^{48} +(-3.74074 - 5.91666i) q^{49} +(4.18246 - 1.12069i) q^{50} +(-2.76646 - 1.59722i) q^{51} +(2.26518 - 0.207895i) q^{52} +(2.47328 + 4.28385i) q^{53} +(1.23751 - 4.61845i) q^{54} +(-3.80843 - 2.19880i) q^{55} +(5.64352 - 1.63439i) q^{56} +(-0.840427 + 0.840427i) q^{57} +(-0.869915 + 0.869915i) q^{58} +(0.228132 + 0.851400i) q^{59} +(-0.128107 + 0.478100i) q^{60} +5.17593i q^{61} +(-7.02159 + 12.1617i) q^{62} +(3.49254 - 6.34014i) q^{63} +4.13546i q^{64} +(3.52004 - 4.23146i) q^{65} +(-2.07959 + 1.20065i) q^{66} +(-11.1026 + 11.1026i) q^{67} +(-3.39607 + 1.96072i) q^{68} +(-1.44475 - 2.50237i) q^{69} +(-3.16095 + 5.73818i) q^{70} +(-10.3040 - 2.76095i) q^{71} +(4.29607 + 4.29607i) q^{72} +(6.72052 + 1.80076i) q^{73} +(4.88933 - 8.46857i) q^{74} +(-0.685973 - 1.18814i) q^{75} +(0.377628 + 1.40933i) q^{76} +(-7.32073 + 2.12012i) q^{77} +(-1.03997 - 2.81989i) q^{78} +(-4.24764 + 7.35713i) q^{79} +(-5.25022 - 5.25022i) q^{80} +6.69268 q^{81} -3.27311 q^{82} +(1.51432 + 1.51432i) q^{83} +(0.443758 + 0.734138i) q^{84} +(-2.45590 + 9.16553i) q^{85} +(4.05696 - 1.08706i) q^{86} +(0.337576 + 0.194900i) q^{87} -6.39711i q^{88} +(-8.08103 - 2.16531i) q^{89} -6.77438 q^{90} +(-1.06254 - 9.48003i) q^{91} -3.54710 q^{92} +(4.29792 + 1.15162i) q^{93} +3.58337i q^{94} +(3.05750 + 1.76525i) q^{95} +(-1.71145 + 0.458582i) q^{96} +(0.933928 - 3.48547i) q^{97} +(3.37689 + 10.8402i) q^{98} +(-5.57284 - 5.57284i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 28 q - 2 q^{2} - 6 q^{4} - 6 q^{5} + 12 q^{6} + 2 q^{7} - 4 q^{8} - 12 q^{9}+O(q^{10}) \) 28 * q - 2 * q^2 - 6 * q^4 - 6 * q^5 + 12 * q^6 + 2 * q^7 - 4 * q^8 - 12 * q^9	\( 28 q - 2 q^{2} - 6 q^{4} - 6 q^{5} + 12 q^{6} + 2 q^{7} - 4 q^{8} - 12 q^{9} - 12 q^{10} + 2 q^{11} + 8 q^{12} - 20 q^{14} + 10 q^{15} - 2 q^{16} - 6 q^{17} - 4 q^{18} - 8 q^{19} - 36 q^{20} - 2 q^{21} - 8 q^{22} - 6 q^{23} + 12 q^{24} + 24 q^{26} - 18 q^{28} - 8 q^{29} - 38 q^{31} - 20 q^{32} + 18 q^{33} + 12 q^{34} - 2 q^{35} + 54 q^{36} - 16 q^{37} + 28 q^{39} + 48 q^{40} + 18 q^{41} - 4 q^{42} + 48 q^{43} - 6 q^{44} + 12 q^{45} + 18 q^{46} - 42 q^{47} + 12 q^{48} + 8 q^{49} + 10 q^{50} + 12 q^{51} - 28 q^{52} + 12 q^{53} - 30 q^{54} - 6 q^{55} - 24 q^{56} + 12 q^{57} + 62 q^{58} - 6 q^{59} + 16 q^{60} - 36 q^{62} - 38 q^{63} - 2 q^{65} + 66 q^{66} - 4 q^{67} + 30 q^{68} + 42 q^{69} + 68 q^{70} - 42 q^{71} - 38 q^{72} + 14 q^{73} - 6 q^{74} - 20 q^{75} + 52 q^{76} - 62 q^{78} + 4 q^{79} + 12 q^{80} + 12 q^{81} - 108 q^{82} - 66 q^{83} - 56 q^{84} - 54 q^{85} - 30 q^{86} + 42 q^{87} - 30 q^{89} - 72 q^{90} - 42 q^{91} - 156 q^{92} + 14 q^{93} - 6 q^{95} + 18 q^{96} + 62 q^{97} + 112 q^{98} - 36 q^{99}+O(q^{100}) \) 28 * q - 2 * q^2 - 6 * q^4 - 6 * q^5 + 12 * q^6 + 2 * q^7 - 4 * q^8 - 12 * q^9 - 12 * q^10 + 2 * q^11 + 8 * q^12 - 20 * q^14 + 10 * q^15 - 2 * q^16 - 6 * q^17 - 4 * q^18 - 8 * q^19 - 36 * q^20 - 2 * q^21 - 8 * q^22 - 6 * q^23 + 12 * q^24 + 24 * q^26 - 18 * q^28 - 8 * q^29 - 38 * q^31 - 20 * q^32 + 18 * q^33 + 12 * q^34 - 2 * q^35 + 54 * q^36 - 16 * q^37 + 28 * q^39 + 48 * q^40 + 18 * q^41 - 4 * q^42 + 48 * q^43 - 6 * q^44 + 12 * q^45 + 18 * q^46 - 42 * q^47 + 12 * q^48 + 8 * q^49 + 10 * q^50 + 12 * q^51 - 28 * q^52 + 12 * q^53 - 30 * q^54 - 6 * q^55 - 24 * q^56 + 12 * q^57 + 62 * q^58 - 6 * q^59 + 16 * q^60 - 36 * q^62 - 38 * q^63 - 2 * q^65 + 66 * q^66 - 4 * q^67 + 30 * q^68 + 42 * q^69 + 68 * q^70 - 42 * q^71 - 38 * q^72 + 14 * q^73 - 6 * q^74 - 20 * q^75 + 52 * q^76 - 62 * q^78 + 4 * q^79 + 12 * q^80 + 12 * q^81 - 108 * q^82 - 66 * q^83 - 56 * q^84 - 54 * q^85 - 30 * q^86 + 42 * q^87 - 30 * q^89 - 72 * q^90 - 42 * q^91 - 156 * q^92 + 14 * q^93 - 6 * q^95 + 18 * q^96 + 62 * q^97 + 112 * q^98 - 36 * q^99

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